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-8246*l
Let a(p) be the third derivative of p**5/10 + 13*p**2 - p. Let k(l) = 12*l. What is a(k(q))?
864*q**2
Let g(p) = 6*p + 4. Let h(v) = -v - 1. Let i(m) = -m**3 + 7*m**2 - 5*m - 2. Let b be i(6). Let k(a) = b*h(a) + g(a). Let t(n) = 2 - 2*n - 2. Determine t(k(x)).
-4*x
Let z(c) = -2*c. Let s(j) be the second derivative of -j**4/6 - 3*j. What is z(s(u))?
4*u**2
Let v(w) be the third derivative of w**7/5040 - w**5/60 + 3*w**2. Let m(b) be the third derivative of v(b). Let l(h) = 2*h. Determine l(m(f)).
2*f
Let j(k) = 4*k**2 - 12*k**2 + 6*k**2 + k**2. Let q(c) = 22*c. Calculate j(q(x)).
-484*x**2
Let w(d) = 112*d. Let x(l) = -3*l. Give x(w(b)).
-336*b
Let z(n) = -2*n + 10*n - 3*n. Let p(x) = -2*x**2. Give p(z(v)).
-50*v**2
Let i(w) = 2*w. Let b be -2 - 1 - -5 - -26. Let q(j) = -53*j**2 + b*j**2 + 29*j**2. Calculate q(i(m)).
16*m**2
Let b(j) = -12*j + 4. Let l(p) = -7*p. What is l(b(g))?
84*g - 28
Let f(j) = -7*j**2 + 2. Let i(a) = 25*a. Give f(i(o)).
-4375*o**2 + 2
Let m(g) = -9754*g. Let p(b) = -b. Determine m(p(c)).
9754*c
Let n(h) = h**2. Let l(j) be the third derivative of 0*j + 1/12*j**5 + 0*j**4 + 0*j**3 - 4*j**2 + 0. Determine l(n(m)).
5*m**4
Let u(n) = 2*n. Let m be ((-2)/(-1) - 2) + 2. Suppose -2*h = 3*y - 0 - 2, -4*y - 2 = 5*h. Let d(j) = -4*j**2 + m*j**y + 0*j**2. Give u(d(w)).
-4*w**2
Let y(d) = -32*d + 3. Let i(o) = -2*o. Calculate y(i(a)).
64*a + 3
Let g be (4 - 3) + 6/2. Let m(b) = -4 + g + b - 2*b. Let y(o) = -6*o. Determine y(m(k)).
6*k
Let h(x) = 1272*x**2. Let w(s) = -2*s**2. Calculate w(h(a)).
-3235968*a**4
Let u(c) = c**2. Let x(k) = 762*k**2. Give u(x(n)).
580644*n**4
Let q(u) = 2*u**2 - u. Let m(j) = -j**2 + j. Let a(c) = -m(c) - q(c). Let d(w) be the first derivative of 2*w**3/3 + 1. Determine a(d(p)).
-4*p**4
Let r(k) = 9*k + 16*k - 3*k + 3*k. Let f(b) = -b. Determine r(f(h)).
-25*h
Let i(b) be the second derivative of -b**4/24 + b**2/2 + 3*b. Let v(s) be the first derivative of i(s). Let n(u) = 5*u**2. Calculate v(n(k)).
-5*k**2
Let q(l) = 10*l**2. Let m(f) = -4*f**2 + 37. Give q(m(j)).
160*j**4 - 2960*j**2 + 13690
Let z(d) be the third derivative of -d**5/30 - 2*d**2. Suppose -5*o = -0*o - 10. Let g(y) = -2*y**2 + 4*y**o - 3*y**2. What is g(z(a))?
-4*a**4
Let i(n) be the third derivative of -n**4/4 - n**2. Let g(l) = 3*l**2. Determine i(g(b)).
-18*b**2
Let r = -16 + 33. Let z(g) = -17*g + g**2 + r*g. Let l(m) = -m - 1. Let n(j) = 5*j**2 - 25*j - 25. Let s(q) = 25*l(q) - n(q). What is z(s(w))?
25*w**4
Let o(g) = -g**2. Let p(b) = -b + 4. Let d(l) = 1. Let w(t) = -4*d(t) + p(t). What is w(o(r))?
r**2
Let f(g) = 4*g**2. Suppose r + 2*s - 3 = 5, -2*r - s + 4 = 0. Let l(q) = q - 2*q + r + 0. Give l(f(j)).
-4*j**2
Let h(o) = 3*o**2 - 5*o**2 + 4*o**2. Let p(f) = f**3 + f**2 + 2. Let g be p(0). Let b(x) = g*x + 4*x - 5*x. What is b(h(n))?
2*n**2
Let p(l) be the second derivative of 0 + 1/3*l**3 + 2*l + 0*l**2. Let u(v) be the first derivative of v**2 - 1. Determine p(u(f)).
4*f
Let n(s) = 15*s. Let t(u) = 0*u + 9*u - 2*u - 6*u. What is n(t(m))?
15*m
Let y(k) = 3*k. Suppose 3*c + 4*j - 24 = 0, 0 = c + 4*c + 5*j - 35. Suppose 9*r - c*r - 10 = 0. Let n(z) = -2*z + r*z + 0*z + 4*z**2. What is n(y(s))?
36*s**2
Let j(b) = -b + 1. Let p(v) = -6*v + 4. Let a(k) = 4*j(k) - p(k). Suppose 2*g = -3*w + 7*w - 16, 0 = -2*w - 5*g - 16. Let f(n) = w*n + 0*n - 4*n. Give f(a(i)).
-4*i
Suppose -4*q = -8*q - 32. Let h = q - -15. Let u(t) = 0*t**2 + 5*t**2 - h*t**2 - t**2. Let m(v) = 3*v**2. Give u(m(p)).
-27*p**4
Let z(x) = -7*x**2. Let r(k) = -6 + 6*k**2 + 5 + 1. Determine z(r(s)).
-252*s**4
Let d(n) be the second derivative of 0 + 1/3*n**3 + 0*n**2 - 6*n. Let v(x) = 8*x**2. Determine v(d(j)).
32*j**2
Suppose 5*y = r + 14, y + 5*r + 0 = 8. Let k(b) be the third derivative of 0 + 0*b + 0*b**4 + 0*b**y + 2*b**2 + 1/30*b**5. Let h(n) = -n**2. What is k(h(a))?
2*a**4
Let v(y) = 3*y. Let d(u) = -8*u - 183. Give d(v(g)).
-24*g - 183
Let v(n) = 0*n**2 + n**2 - n**2 - n**2. Let t(c) be the second derivative of 0*c**2 + 0 - 1/3*c**3 + 2*c. Give t(v(x)).
2*x**2
Let l(g) = -g - 5 + 5. Let o(x) = 4*x - 1. Let t be o(1). Let n(b) = b + t*b + b - 6*b. Give n(l(p)).
p
Let a(f) = -2*f**2. Let s(v) = 5*v**2 + 22. What is a(s(c))?
-50*c**4 - 440*c**2 - 968
Suppose 40 = 4*c + 12. Let q(m) = -3*m**2 - 3*m**2 + c*m**2. Let w(t) = 0*t - 3*t**2 + 0*t. Determine w(q(r)).
-3*r**4
Let i(y) = -3*y**2. Let g(t) = t**2 + 5*t + 4. Let r be g(-5). Let h = r - 4. Let u(n) = n + h + 0*n + 0. Give i(u(j)).
-3*j**2
Let a(o) = -12*o. Let n(m) = 0*m**2 + 0*m**2 + 2*m**2. Determine a(n(i)).
-24*i**2
Let i(v) = 16*v**2 + 5*v + 11. Let l be i(-4). Let s(g) = -2*g - l + 247. Let p(z) = -2*z - 2*z**2 + 2*z. Determine p(s(x)).
-8*x**2
Let t(h) be the third derivative of 0*h**3 + h**2 + 0*h - 1/12*h**4 + 0. Let q(z) = -4*z**2 + 0*z**2 + 3*z**2 + 3*z**2. Calculate t(q(l)).
-4*l**2
Let r(o) = 5*o**2. Let v(z) = -10*z. Give v(r(x)).
-50*x**2
Let y(u) = 2*u. Let m(z) be the second derivative of 0*z**2 + 0 + z + 1/3*z**3. Give y(m(d)).
4*d
Let s(f) be the first derivative of -f**4/4 + 5*f**2/2 - 2. Let b(g) be the second derivative of s(g). Let c(y) = 2*y. Give c(b(n)).
-12*n
Let v(p) = p. Let i = 11 + -10. Let y(n) = 5*n - 1 + 0*n + i. Determine y(v(o)).
5*o
Let c(l) = -l + 6. Let g(r) = -39*r + 221. Let m(q) = 221*c(q) - 6*g(q). Let z(y) = y. Let d(i) = 2*i. Let t(h) = -4*d(h) + 6*z(h). What is m(t(a))?
-26*a
Let r(w) = 31*w. Let d(p) be the second derivative of -p**4/6 - 15*p. Calculate d(r(m)).
-1922*m**2
Let p(u) = -5*u**2. Let a(o) = 2. Let q be 1/4 + 22/8. Let c(m) = -q*m - 3 + 2*m + 4*m - 4*m. Let w(d) = -3*a(d) - 2*c(d). Determine p(w(f)).
-20*f**2
Let b(k) = 2*k - 2*k + 4*k + 0*k. Let l(c) be the second derivative of -c**4/12 - 15*c. Give l(b(n)).
-16*n**2
Let m(u) be the first derivative of -2*u**3/3 + 4. Let k(t) be the second derivative of t**4/4 + t. Give m(k(d)).
-18*d**4
Let p(y) be the second derivative of 3*y**3/2 - 4*y. Let u(s) = 3*s**2. What is u(p(x))?
243*x**2
Let y(i) = -2*i**2 - 74. Let d(n) = -11*n**2. Calculate d(y(g)).
-44*g**4 - 3256*g**2 - 60236
Let v(q) = 3 + 0 - 3 + 3*q. Let i(l) = 3*l**2 - 5*l. Suppose 5*m = 23 + 2. Let z(s) = 2*s**2 - 4*s. Let r(b) = m*z(b) - 4*i(b). Determine r(v(g)).
-18*g**2
Let k(v) be the first derivative of -v**2/2 - 8. Let l(p) = 3*p. What is k(l(z))?
-3*z
Let o(s) = -4*s**2 - 4*s - 4. Let i(u) = -5*u**2 - 3*u - 3. Let v(m) = 4*i(m) - 3*o(m). Let k(z) = -5*z. Give v(k(r)).
-200*r**2
Let h(p) = 2*p. Let k(z) = 234*z**2 + 4*z - 2. Determine h(k(y)).
468*y**2 + 8*y - 4
Let a(g) = 18*g**2. Let f(d) be the first derivative of d**2 - 19. Determine a(f(z)).
72*z**2
Let h(l) = -l**2 - 6*l - 1. Let p be h(-6). Let w be 4 + 1/(-1)*p. Let d(r) = 3*r - w*r + 0*r. Let i(q) = -2*q. Calculate i(d(c)).
4*c
Let z(x) be the second derivative of -x**4/6 + 5*x. Let p(r) be the second derivative of 0*r**2 - r - 1/2*r**3 + 0. Calculate z(p(y)).
-18*y**2
Let m(i) = 9*i**2. Let b(x) = -x**2 - 2*x + 2. Let c(z) = z - 1. Let f(v) = b(v) + 2*c(v). Give f(m(t)).
-81*t**4
Let i(l) be the second derivative of 0 + 0*l**3 + 0*l**2 + 1/6*l**4 + 3*l. Let m(d) = -d**2. Calculate m(i(z)).
-4*z**4
Let j(w) be the third derivative of w**5/60 - 41*w**2. Let s(c) = c**2. Calculate j(s(h)).
h**4
Let j(d) be the second derivative of d**4/6 + 38*d. Let c(g) = -30*g**2. Give j(c(r)).
1800*r**4
Let b(g) = -377*g**2. Let i(y) = -5*y. Give i(b(j)).
1885*j**2
Let w(x) = 22*x. Let y(u) = 0*u + 3*u - 2*u - 3*u. Determine y(w(z)).
-44*z
Let j(x) be the third derivative of -x**7/280 + x**4/3 + 6*x**2. Let f(a) be the second derivative of j(a). Let h(o) = -2*o**2. Calculate h(f(z)).
-162*z**4
Let q(v) = 223*v. Let z(o) = -24*o. Calculate z(q(b)).
-5352*b
Let m(z) = 17*z. Let p(u) = 44*u**2. Determine p(m(n)).
12716*n**2
Let f(n) = -8*n**2. Let q(h) = 1185*h. Give q(f(i)).
-9480*i**2
Let l(p) = 3*p**2. Let s(j) = -8*j**2 + 27*j. Give s(l(q)).
-72*q**4 + 81*q**2
Let y(l) be the first derivative of -1/3*l**3 - 2 + 0*l + 0*l**2. Let m(v) = -2*v. What is m(y(r))?
2*r**2
Let f(x) = x. Let l(n) = -5*n + 11. Let d(u) = u - 2. Suppose 5*o - 32 = 8. Suppose k + 3*k = o. Let z(a) = k*l(a) + 11*d(a). What is f(z(s))?
s
Let d(t) be the second derivative of -t**4/4 + 23*t. Let h(y) = 3*y. Ca
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{
"pile_set_name": "DM Mathematics"
}
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- 8*a**2*d
What is the derivative of -666*i**3*n - 3*i**3 - 3*i**2 + 4*n + 1391 wrt i?
-1998*i**2*n - 9*i**2 - 6*i
Find the third derivative of -1977*r**2*z**6 + 75*r**2*z**2 - 29*r**2*z - 2*z**6 wrt z.
-237240*r**2*z**3 - 240*z**3
What is the second derivative of 39*a*p**3 + 8*a*p*r - 4*a*p + 2*p**4*r + 2*p**2*r - r - 2 wrt p?
234*a*p + 24*p**2*r + 4*r
Find the second derivative of k*t**4 - 20*k*t - 45*t**4 - t + 31 wrt t.
12*k*t**2 - 540*t**2
What is the second derivative of -540*s**2 + 568*s?
-1080
Find the second derivative of -50*g*i*y**2 - g*i*y - 3*g*y**2 - 3*i*y - 9*i wrt y.
-100*g*i - 6*g
What is the second derivative of -2*o**4*w**2 + 39*o**4 + 2*o*w**2 + 85*o wrt o?
-24*o**2*w**2 + 468*o**2
What is the third derivative of -77*l**4 - 510*l**2?
-1848*l
What is the derivative of 4834*i**4 + 4582 wrt i?
19336*i**3
Find the third derivative of 117*i**3*v**3 + 60*i**2*v**3 + 2*v**3 wrt i.
702*v**3
Find the second derivative of -487*t**2 + t - 184.
-974
Differentiate 72*i**3*p - 4353*i**3 - 19*p**2 with respect to p.
72*i**3 - 38*p
Find the second derivative of -13*w**5 + 7*w**3 + 215*w wrt w.
-260*w**3 + 42*w
Find the second derivative of -i**2*j*k - 10*i**2*j - 2*i**2*k**2 + 8*i**2 + 2*i*j*k**3 + 2*i*k**4 wrt k.
-4*i**2 + 12*i*j*k + 24*i*k**2
Find the third derivative of 199*s**3 - 328*s**2.
1194
Differentiate -191*h**3 + 12*h**2 + 2*h + 13528 with respect to h.
-573*h**2 + 24*h + 2
What is the derivative of 2*b**3*u + 2*b**2 + 2*b*h*u - 62*b*u - 2031*h*u wrt b?
6*b**2*u + 4*b + 2*h*u - 62*u
Differentiate -256*h**2*j*x - h**2*j - 2*h + 2*j with respect to x.
-256*h**2*j
What is the first derivative of -j*q**3*x - 3*j*q**3 - 290*j*x + q**3*x + 3*q**2*x + 23*x wrt j?
-q**3*x - 3*q**3 - 290*x
Find the third derivative of 424*b**3*v**2*y + 2*b**2*v**2 + 4*b*v**2*y + 4*b*v**2 wrt b.
2544*v**2*y
What is the third derivative of -2*v**6 + 16*v**3*x**2 + 2*v**3*x + v**2*x + 6*v*x**2 + 2*x**2 wrt v?
-240*v**3 + 96*x**2 + 12*x
What is the second derivative of -3*a*b*y - a*y**2 + a*y + 7*b*y**3 + 31*b*y - b + 19*y**5 wrt y?
-2*a + 42*b*y + 380*y**3
Differentiate -349*s + 28 wrt s.
-349
Find the third derivative of 2*j**5*s**2 + 50*j**4*s**2 + j**2*s**2 - 267*j**2*s wrt j.
120*j**2*s**2 + 1200*j*s**2
Find the third derivative of 3050*j*o**5 - 3*j*o**4 - 14728*j*o**2 + j wrt o.
183000*j*o**2 - 72*j*o
Find the first derivative of 2*d**3*j*z - d**3*z - 10*d**2*z**2 + 22*j*z**2 wrt j.
2*d**3*z + 22*z**2
What is the third derivative of -311*t**4 + 7*t**3 - 508*t**2?
-7464*t + 42
Find the first derivative of -14*l**2 - l + 444 wrt l.
-28*l - 1
Differentiate 89*s*t**2 + 2*t**2 + 6 with respect to s.
89*t**2
Find the third derivative of 2*p**6 + p**5 + 22*p**3 - 114*p**2 - 102.
240*p**3 + 60*p**2 + 132
What is the derivative of 1470*t + 526 wrt t?
1470
Find the second derivative of -7*b**2*f**3*u - 11*b**2*f*u - b**2*u + 2*b*f**3*u - 2*b*f - 18*f*u wrt f.
-42*b**2*f*u + 12*b*f*u
What is the first derivative of 2*x**4 + 46*x**3 - 13117 wrt x?
8*x**3 + 138*x**2
Find the first derivative of -8*c**2*s + 103*c**2 - 53*s**2 - 4 wrt s.
-8*c**2 - 106*s
Differentiate -112*o**3 + 511 wrt o.
-336*o**2
What is the derivative of -n**4*t + 380*n**4 + 3376*t wrt n?
-4*n**3*t + 1520*n**3
Find the first derivative of 2*d**2*u + 2*d**2*x**3 - d*s**2*x**3 + 246*s**2*u*x**3 + s**2*u - 192*s*x**3 wrt u.
2*d**2 + 246*s**2*x**3 + s**2
Find the second derivative of -41*s**3*t*u + 2*s**2*t*u - 2*s**2*u + 2*s*t - 2*t*u + 31*u wrt s.
-246*s*t*u + 4*t*u - 4*u
What is the third derivative of 3*k**4 - 60*k**3 + 7*k**2 - 15*k?
72*k - 360
What is the second derivative of -260*c**3 - 8213*c?
-1560*c
What is the second derivative of 3*u*y**5 - 3*u*y**2 + u*y - 4*u + 6*y**3 + 13*y wrt y?
60*u*y**3 - 6*u + 36*y
What is the first derivative of 2*d*j**2*o - 49*d*j**2 + 39*d - 191*j**2*o + 3*j*o**2 wrt o?
2*d*j**2 - 191*j**2 + 6*j*o
What is the second derivative of 145*d**3*t**3 - 1849*d**3*t + d*t**3 - 3*d wrt t?
870*d**3*t + 6*d*t
Find the second derivative of 711*d**2 + 2*d - 119.
1422
Find the second derivative of 5*d**2*i*w**3 - 2*d**2*i*w**2 - 14*d**2*t*w + d*i*w**3 - 2*d*i + 2*d*t*w**3 - 16*i wrt d.
10*i*w**3 - 4*i*w**2 - 28*t*w
What is the derivative of -279*x - 43 wrt x?
-279
What is the derivative of -3*j*q*t - 28*j*q - 2*j*t**2 + 92*q*t**2 wrt j?
-3*q*t - 28*q - 2*t**2
Find the third derivative of 35*a*d**2*p**3 - 199*a*d**2*p**2 + a*d**2*p - 2*a*d*p**2 - a*d + 14*p**3 wrt p.
210*a*d**2 + 84
What is the second derivative of 272*q*y**5 - 3*q + 46*y - 5 wrt y?
5440*q*y**3
Find the second derivative of 323*k**3*m**2 + 135*k**3 - 4*k - 2*m wrt m.
646*k**3
Find the second derivative of -2*j**5*s - 98*j**3*s**2 - 2*j + 17*s**2 wrt j.
-40*j**3*s - 588*j*s**2
What is the derivative of 8026*q**3 + 19357 wrt q?
24078*q**2
Find the third derivative of 659*d**6 - 3*d**4 - 4*d**2 - 1748.
79080*d**3 - 72*d
Find the second derivative of -224*w**2 + 2*w.
-448
Find the second derivative of 8966*s**4 - 7789*s.
107592*s**2
Differentiate d*i*u**3 - 14*d*i*u + 4*d*u**3 + d*u**2 + d*u + 35*i*u + 11*u**3 wrt i.
d*u**3 - 14*d*u + 35*u
Differentiate 533*b*j*y + 2*b*j - 2*b + j*y - 2*j + 33*y - 1 with respect to b.
533*j*y + 2*j - 2
What is the third derivative of -8*n**5 - 8*n**3 + 184*n**2 wrt n?
-480*n**2 - 48
Find the third derivative of -118*h**2*m**3 - h**2*m**2 + 2*h*m**6 - 3*h*m**2 - 2*m**2 wrt m.
-708*h**2 + 240*h*m**3
What is the second derivative of -7302*d**2 + 2154*d wrt d?
-14604
What is the derivative of -151*r**3*y**3 - r**3 - 27*y**4 + 4065 wrt y?
-453*r**3*y**2 - 108*y**3
What is the second derivative of 213*c**5 + 14*c - 8 wrt c?
4260*c**3
Differentiate -97*b**2 + 159 with respect to b.
-194*b
Find the second derivative of 20*j**3 + 13*j**2 - 224*j - 8 wrt j.
120*j + 26
Find the second derivative of -4*d*v*x**3 - 3*d*v - 2*d*x**3 - 9*d*x + d - 117*v*x**3 - 2*v*x - x wrt x.
-24*d*v*x - 12*d*x - 702*v*x
Find the second derivative of -20*j**2*t**2 - j**2*t + 5*j**2 - 2*j*t**3 - 4*t**3 wrt t.
-40*j**2 - 12*j*t - 24*t
Differentiate 2893*u**4 + 2244.
11572*u**3
Differentiate 2*d**2*l**2*y + 185*d**2*l*y - 204*d**2*n + d*l**2*y - 26*l**2*n*y with respect to n.
-204*d**2 - 26*l**2*y
Find the second derivative of -152*b**5*p**3 - 2*b**5*p + 2*b*p**3 - 14*b*p**2 - p**3 wrt b.
-3040*b**3*p**3 - 40*b**3*p
Find the third derivative of 1234*q**6 + 2957*q**2.
148080*q**3
What is the first derivative of -6*t**2*z**2 - 4*t**2 - 176*t*z**3 + 315*t wrt z?
-12*t**2*z - 528*t*z**2
What is the derivative of 5*o**2 + o - 23 wrt o?
10*o + 1
What is the third derivative of -15*b**2*p**3*r - 243*b**2*p**3 + b**2*r + b**2 - 2*b*p**2*r - 35*b*p**2 + 2*p*r wrt p?
-90*b**2*r - 1458*b**2
What is the third derivative of 2345*k**3 - 479*k**2 - 2*k?
14070
Find the first derivative of -t**3 + 66*t + 1233 wrt t.
-3*t**2 + 66
What is the derivative of -111*b - 617 wrt b?
-111
Find the second derivative of 14*p**2*t**2 + 2*p**2*v**2 - 164*p**2*v - p*t**2*v**2 - 8*t**2 - t*v**2 - 50*v**2 + 1 wrt p.
28*t**2 + 4*v**2 - 328*v
Find the third derivative of 12990*f*k**3 + 101*f*k**2 + 10*f wrt k.
77940*f
Find the second derivative of -5691*x**3 - 209*x - 3.
-34146*x
What is the second derivative of 445*r**5 - 549*r wrt r?
8900*r**3
What is the second derivative of -21506*r**2 + 2367*r - 1?
-43012
What is the second derivative of -227*l**4*m + 167*l*m wrt l?
-2724*l**2*m
What is the third derivative of 5*a**5 + 10*a**4 + 30*a**2?
300*a**2 + 240*a
Find the third derivative of -8700*h**3 - 7073*h**2.
-52200
What is the first derivative of -96*j**3*o + 183*j**3 - 3*j - 7*o wrt o?
-96*j**3 - 7
Find the second derivative of -1644*v**5 - 114*v - 5.
-32880*v**3
What is the third derivative of -3246*i**5 + 467*i**2 - i - 1?
-194760*i**2
Find the first derivative of -3*h**3*o*u + 54*h**3*u + 10*h**3 + 3*h*o + 2*h - o*u - 10 wrt u.
-3*h**3*o + 54*h**3 - o
Find the third derivative of 67*h**5 + 2*h**4*y**3 - 79*h**2*y - 2*y**3 wrt h.
4020*h**2 + 48*h*y**3
Find the third derivative of 225*p**2*r**3 + p**2*r**2 - 2*p*r**3 - 707*p*r**2 + 2*r**3 wrt r.
1350*p**2 - 12*p + 12
Differentiate -s**4 - 1166*s**2 + 3*s - 11719 with respect to s.
-4*s**3 - 2332*s + 3
Find the second derivative of 7*i**3 + 4*i**2*p**2 - 11*i**2*p - i*p**2 - 84*i wrt i.
42*i
|
{
"pile_set_name": "DM Mathematics"
}
|
, 216?
171
What is the next term in 56, 35, 0, -49, -112, -189?
-280
What is the next term in 69, 257, 563, 981, 1505, 2129?
2847
What is next in -18, -29, -38, -45, -50?
-53
What is the next term in -1095, -4383, -9865, -17541, -27411, -39475?
-53733
What is the next term in 4, 21, 50, 97, 168, 269?
406
What is the next term in -308, -613, -918, -1223, -1528, -1833?
-2138
What comes next: 194, 378, 558, 734?
906
What is next in -12, -28, -46, -60, -64, -52?
-18
What is the next term in -7, 4, 15, 26, 37, 48?
59
What is the next term in 679, 666, 653?
640
What is the next term in 1441, 1434, 1413, 1372, 1305?
1206
What is the next term in -433, -423, -401, -361, -297?
-203
What comes next: 53, 68, 79, 86, 89, 88?
83
What is the next term in 15, 1, -13, -27, -41?
-55
What comes next: -76, -74, -72, -70, -68?
-66
What is the next term in -59, -129, -189, -233, -255, -249, -209?
-129
What is the next term in -146, -144, -140, -134, -126?
-116
What comes next: -16, -36, -64, -94, -120, -136, -136?
-114
What is next in 43, 70, 107, 160, 235, 338?
475
What comes next: 99, 91, 79, 63?
43
What is next in 111, 108, 113, 132, 171, 236, 333?
468
What is next in 23, 57, 91, 125?
159
What is the next term in 48717, 48716, 48715, 48714?
48713
What is next in 18, 40, 62, 84?
106
What is the next term in -73136, -73137, -73138?
-73139
What comes next: 119, 260, 415, 590, 791, 1024, 1295, 1610?
1975
What is the next term in 162, 323, 484?
645
What is next in 8, 79, 290, 713, 1420, 2483, 3974, 5965?
8528
What is next in -151, -123, -67, 23, 153, 329, 557?
843
What comes next: -128, -493, -1094, -1925, -2980, -4253, -5738?
-7429
What is the next term in 344, 681, 1018, 1355, 1692, 2029?
2366
What comes next: 7580, 7575, 7570, 7565?
7560
What comes next: 670, 691, 712, 733, 754, 775?
796
What comes next: 87, 151, 215, 279?
343
What is next in -59, -464, -1563, -3704, -7235, -12504?
-19859
What is the next term in 36, 16, -2, -18?
-32
What is the next term in 7, 1, -21, -71, -161, -303, -509?
-791
What comes next: -427, -435, -457, -499, -567, -667, -805?
-987
What is the next term in -21, -83, -185, -327?
-509
What is the next term in 1493, 3003, 4521, 6041, 7557, 9063, 10553, 12021?
13461
What comes next: 813, 816, 821, 828, 837, 848, 861?
876
What is next in 33, 66, 95, 120, 141, 158, 171?
180
What comes next: 28, 28, 12, -26, -92, -192, -332, -518?
-756
What comes next: 1358, 1359, 1360, 1361?
1362
What is next in 113, 181, 249?
317
What comes next: 348, 703, 1058, 1413, 1768?
2123
What is the next term in 428, 424, 416, 404, 388, 368, 344?
316
What comes next: 104, 241, 378, 515, 652, 789?
926
What comes next: 363, 743, 1121, 1497, 1871, 2243, 2613?
2981
What is next in 249, 491, 733, 975?
1217
What comes next: -3471, -3464, -3453, -3438, -3419?
-3396
What is the next term in 220, 437, 654, 871, 1088?
1305
What is the next term in 388, 395, 416, 457, 524, 623, 760, 941?
1172
What is next in 546, 553, 560, 567?
574
What is the next term in -262, -258, -254?
-250
What comes next: -424, -847, -1272, -1699, -2128, -2559?
-2992
What is the next term in 1760, 1779, 1784, 1769, 1728?
1655
What comes next: 32, 38, 30, 2, -52, -138, -262, -430?
-648
What is the next term in -422, -406, -368, -296, -178?
-2
What is the next term in 155, 338, 529, 734, 959, 1210?
1493
What comes next: -17, -21, -31, -53, -93, -157, -251, -381?
-553
What is next in 29, 29, 17, -13, -67?
-151
What comes next: 28, 21, -12, -83, -204?
-387
What is the next term in -51, -90, -145, -222, -327, -466, -645?
-870
What comes next: -605, -1209, -1789, -2333, -2829?
-3265
What is next in 182, 180, 178, 176?
174
What is the next term in 1, -21, -85, -215, -435, -769, -1241, -1875?
-2695
What comes next: -2, -16, -34, -56?
-82
What comes next: 75, 304, 685, 1218, 1903, 2740?
3729
What comes next: 101, 196, 289, 380?
469
What comes next: 35, 56, 107, 200, 347, 560, 851, 1232?
1715
What comes next: -45, -57, -83, -129, -201, -305?
-447
What is next in 269, 1093, 2467, 4391, 6865, 9889, 13463?
17587
What comes next: -94, -95, -98, -103?
-110
What is the next term in 36, 71, 118, 183, 272?
391
What comes next: 18437, 18455, 18499, 18581, 18713, 18907, 19175, 19529?
19981
What is next in -13, -2, 9?
20
What is next in -54, -107, -160, -213, -266, -319?
-372
What comes next: -182, -188, -194, -200, -206?
-212
What is the next term in -422, -841, -1260?
-1679
What comes next: 195, 197, 199, 201, 203?
205
What comes next: -129, -134, -141, -150, -161?
-174
What is next in -5395, -10806, -16229, -21670, -27135, -32630?
-38161
What comes next: 18589, 18588, 18587, 18586, 18585, 18584?
18583
What is next in 1035, 2077, 3119, 4161?
5203
What is the next term in -2103, -2104, -2105, -2106, -2107?
-2108
What is next in 8, 37, 86, 155, 244, 353, 482?
631
What is next in -266, -326, -426, -566, -746, -966?
-1226
What comes next: 538, 1067, 1606, 2161, 2738?
3343
What is next in 1208, 2421, 3646, 4889, 6156, 7453, 8786?
10161
What is next in -71, -286, -651, -1172, -1855?
-2706
What is next in -113, -96, -75, -50, -21, 12, 49?
90
What is next in -272, -271, -270, -269?
-268
What comes next: -212, -215, -220, -227, -236?
-247
What is next in 13, 26, 37, 46, 53?
58
What is the next term in -130, -262, -394, -526, -658, -790?
-922
What is next in -975, -1949, -2921, -3891, -4859?
-5825
What is the next term in -49, -520, -1807, -4318, -8461, -14644, -23275, -34762?
-49513
What is the next term in 1, -7, -21, -41?
-67
What is next in -813, -836, -849, -846, -821?
-768
What is the next term in -376, -764, -1178, -1630, -2132, -2696, -3334?
-4058
What is the next term in 15495, 15496, 15497, 15498, 15499, 15500?
15501
What is the next term in -7840, -15682, -23526, -31372, -39220?
-47070
What is the next term in 210, 341, 484, 645, 830, 1045, 1296, 1589?
1930
What is next in -66, -84, -112, -150?
-198
What is next in -72, -183, -334, -519, -732?
-967
What is the next term in 70, 69, 68, 67?
66
What is next in 87, 78, 65, 48?
27
What comes next: 513, 496, 469, 432, 385, 328?
261
What is the next term in 65, 132, 197, 260?
321
What is the next term in 67, 571, 1949, 4639, 9079, 15707, 24961?
37279
What is next in 86, 90, 98, 110, 126, 146?
170
What comes next: 4323, 4322, 4321, 4320, 4319, 4318?
4317
What is the next term in 45, 61, 101, 177, 301, 485?
741
What comes next: -149, -319, -489?
-659
What is the next term in -198, -432, -670, -912, -1158, -1408?
-1662
What comes next: -45, -63, -101, -165, -261, -395?
-573
What is the next term in 4460, 8920, 13380, 17840, 22300, 26760?
31220
What is next in 59, 233, 513, 893, 1367, 1929, 2573, 3293?
4083
What comes next: -117, -246, -377, -510, -645, -782?
-921
What is next in 26, 27, 26, 23, 18?
11
What is the next term in 26, 37, 48, 59, 70?
81
What comes next: -350, -357, -362, -365, -366, -365, -362?
-357
What comes next: -368, -1526, -3450, -6134, -9572, -13758, -18686?
-24350
What is next in -54, -16, 76, 228, 446?
736
What is next in 33, 45, 57?
69
What is next in 408, 429, 452, 477?
504
What comes next: -533, -537, -551, -581, -633?
-713
What is next in 43, 68, 131, 250, 443?
728
What is the next term in 57, 231, 517, 909, 1401, 1987, 2661, 3417?
4249
What is the next term in 63, 85, 121, 171, 235, 313, 405?
511
What comes next: 132, 167, 262, 447, 752?
1207
What is the next term in -1696, -3394, -5092?
-6790
What comes next: -69, -50, 1, 102, 271, 526?
885
What is the next term in -214, -318, -434, -568, -726, -914, -1138, -1404?
-1718
What is the next term in 169, 160, 145, 124, 97, 64?
25
What is the next term in -3, 13, 35, 63?
97
What comes next: -137, -276, -415, -554, -693, -832?
-971
What is next in -77, -79, -71, -47, -1, 73, 181, 329?
523
What is next in 8352, 8355, 8358?
8361
What is the next term in 521, 522, 523, 524, 525, 526?
527
What is next in 303, 1185, 2653, 4707, 7347, 10573?
14385
What is next in 234, 477, 720, 963?
1206
What is next in 20, 50, 128, 278, 524?
890
What is next in -1, 15, 41, 77, 123, 179, 245?
321
What is the next term in -5, -54, -127, -218, -321, -430, -539?
-642
What is next in 1173, 1172, 1171, 1170, 1169?
1168
What is the next term in -58, -56, -54, -52, -50, -48?
-46
What is next in 2797, 2797, 2799, 2803, 2809?
2817
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
44*t - 45304 = 0.
-7, 1618
Solve 2*x**2/5 + 16488*x/5 + 115318/5 = 0.
-8237, -7
Find q, given that 2*q**3/11 - 114*q**2/11 + 1960*q/11 - 9408/11 = 0.
8, 21, 28
Suppose -2*w**2 - 17896*w - 374934 = 0. What is w?
-8927, -21
Factor -5*v**3 + 393025*v**2 - 7723629040*v + 7723236020.
-5*(v - 39302)**2*(v - 1)
Find z such that -2*z**2/5 + 638*z - 9552/5 = 0.
3, 1592
Solve -q**3 - 8538*q**2 + 17088*q + 68320 = 0.
-8540, -2, 4
Factor -2*p**2/5 - 1244*p/5 + 51558/5.
-2*(p - 39)*(p + 661)/5
Let 3*l**5/2 - 10308*l**4 - 82503*l**3/2 - 30948*l**2 + 41250*l + 41256 = 0. Calculate l.
-2, -1, 1, 6876
What is r in 465*r**3 - 4194*r**2 + 81*r = 0?
0, 3/155, 9
Factor 3*j**4 - 213*j**3 + 2532*j**2 + 5940*j.
3*j*(j - 55)*(j - 18)*(j + 2)
Factor 2*c**2/7 + 794*c/7 + 10812.
2*(c + 159)*(c + 238)/7
Factor -z**2 - 264*z - 14924.
-(z + 82)*(z + 182)
Factor -2*r**3 - 685164*r**2 - 58681898520*r - 117361056400.
-2*(r + 2)*(r + 171290)**2
Determine f so that -2*f**2 - 99755*f + 49878 = 0.
-49878, 1/2
Factor 8*o**5/7 + 1108*o**4/7 + 552*o**3/7.
4*o**3*(o + 138)*(2*o + 1)/7
Factor -r**2/3 - 153106*r/3 - 51035.
-(r + 1)*(r + 153105)/3
Determine u so that 2*u**2/3 + 550*u/3 + 12024 = 0.
-167, -108
Find b, given that b**3/5 + 19919*b**2/5 + 47784*b + 716652/5 = 0.
-19907, -6
Determine x so that 2*x**2/3 - 101742*x = 0.
0, 152613
Suppose g**4/5 + 62*g**3/5 - 916*g**2/5 - 2072*g/5 = 0. Calculate g.
-74, -2, 0, 14
Solve 7*r**3/2 + 2538*r**2 + 5793*r/2 + 362 = 0 for r.
-724, -1, -1/7
Suppose 5*m**2 + 370800*m + 370795 = 0. Calculate m.
-74159, -1
Find y such that -36*y**4 - 3275013*y**3 - 74485053471*y**2 - 43448773032*y - 6206928588 = 0.
-45486, -1/3, -1/4
Factor -2*d**2/7 + 150*d/7 - 568/7.
-2*(d - 71)*(d - 4)/7
What is d in 2*d**3/3 - 20*d**2 + 514*d/3 - 408 = 0?
4, 9, 17
Let 9*k**5 - 1434*k**4 + 1858*k**3 + 5984*k**2 + 3157*k + 474 = 0. Calculate k.
-1, -1/3, 3, 158
Factor 2*w**2/9 - 404*w - 3638/9.
2*(w - 1819)*(w + 1)/9
What is r in 100*r**2 - 1133360*r + 3211262224 = 0?
28334/5
Factor 2*u**3 + 560*u**2 - 1128*u.
2*u*(u - 2)*(u + 282)
Let 5*n**4/4 - 63*n**3/2 + 445*n**2/4 - 21*n = 0. Calculate n.
0, 1/5, 4, 21
Determine g so that 3*g**4/2 + 81*g**3 - 2577*g**2/2 + 1206*g = 0.
-67, 0, 1, 12
Factor -o**2 + 608876*o - 92682495844.
-(o - 304438)**2
Factor -4*z**4 - 252*z**3 - 4520*z**2 - 16800*z.
-4*z*(z + 5)*(z + 28)*(z + 30)
Solve -2*h**3 + 334*h**2 - 12750*h + 35298 = 0.
3, 53, 111
Determine k, given that -5*k**4/2 + 655*k**3/2 - 6695*k**2/2 + 11445*k/2 - 2700 = 0.
1, 9, 120
Suppose -z**4/2 - 57*z**3 - 1458*z**2 - 2527*z + 8085/2 = 0. What is z?
-77, -35, -3, 1
Solve 12*b**5 + 1018*b**4 - 5486*b**3 + 8410*b**2 - 4494*b + 540 = 0.
-90, 1/6, 1, 3
What is a in -11*a**4 + 48024*a**3 - 39283*a**2 - 8730*a = 0?
-2/11, 0, 1, 4365
Factor -3*n**5 - 291*n**4/7 + 360*n**3/7.
-3*n**3*(n + 15)*(7*n - 8)/7
Find m, given that -m**4/6 - 432*m**3 - 1295*m**2 - 3884*m/3 - 863/2 = 0.
-2589, -1
Find d, given that -2*d**3/9 - 1184*d**2/9 - 9184*d/3 - 18176 = 0.
-568, -12
Let t**5 - 635*t**4 + 30353*t**3 - 330217*t**2 - 1212678*t - 851472 = 0. What is t?
-2, -1, 27, 584
Factor -s**3/7 + 63472*s**2/7.
-s**2*(s - 63472)/7
Factor -2*k**3 + 19894*k**2 - 59664*k.
-2*k*(k - 9944)*(k - 3)
Factor 3*o**2/4 - 157275*o/2 + 157272.
3*(o - 104848)*(o - 2)/4
Solve 2*q**5 - 761*q**4 + 8473*q**3 + 5189*q**2 - 8475*q - 4428 = 0 for q.
-1, -1/2, 1, 12, 369
Determine t, given that -7*t**5/2 - 52*t**4/3 - 28*t**3/3 + 101*t**2/3 - t/2 - 3 = 0.
-3, -2/7, 1/3, 1
What is b in 4*b**2 + 2212*b + 13128 = 0?
-547, -6
Factor -2*s**3/3 - 454*s**2/3 - 8954*s - 41070.
-2*(s + 5)*(s + 111)**2/3
Let -b**4/3 - 1669*b**3/3 - 24794*b**2/3 + 26464*b/3 = 0. What is b?
-1654, -16, 0, 1
Let 4*j**2/7 + 816*j/7 + 7760/7 = 0. Calculate j.
-194, -10
Find u, given that 2*u**4/9 - 8*u**3 + 226*u**2/3 - 1912*u/9 + 184 = 0.
2, 9, 23
Factor 18*z**2/5 + 63512*z/5 + 28224/5.
2*(z + 3528)*(9*z + 4)/5
Suppose -28*x**5 + 5132*x**4 + 35916*x**3 - 30793180*x**2 + 100670000*x - 26250000 = 0. What is x?
-70, 2/7, 3, 125
Factor -3*w**3/8 - 333*w**2/8 + 3*w/8 + 333/8.
-3*(w - 1)*(w + 1)*(w + 111)/8
Factor 4*q**3 + 90016*q**2 + 506339988*q - 1013040072.
4*(q - 2)*(q + 11253)**2
What is u in 10*u**5 - 114844*u**4 + 328485916*u**3 + 7136043728*u**2 + 37140413002*u - 16018952356 = 0?
-11, 2/5, 5753
Determine b so that 3*b**4 - 2526*b**3 - 1294557*b**2 + 768863880*b + 277941553200 = 0.
-380, 801
Factor -4*f**2 + 1211888*f - 91792032784.
-4*(f - 151486)**2
Let -4*w**4 - 256*w**3 - 2532*w**2 + 6120*w = 0. What is w?
-51, -15, 0, 2
Determine p so that -2*p**2 + 97730*p - 684012 = 0.
7, 48858
Factor 4*o**3 - 9416*o**2 + 5503460*o + 44632352.
4*(o - 1181)**2*(o + 8)
Let -12693*z**3/2 - 38080*z**2 - 114249*z/2 - 9 = 0. Calculate z.
-3, -2/12693
Let -k**3/2 + 235*k**2/2 - 1338*k = 0. Calculate k.
0, 12, 223
Factor -2*g**2 - 7238*g - 7236.
-2*(g + 1)*(g + 3618)
Factor -n**3 + 392*n**2 - 42036*n + 691920.
-(n - 186)**2*(n - 20)
Factor -2*h**3/5 + 30*h**2 + 4508*h/5.
-2*h*(h - 98)*(h + 23)/5
Let 4*s**2 - 410432*s + 10528401664 = 0. Calculate s.
51304
Factor 2*f**4/5 - 364764*f**3/5 + 16631232194*f**2/5 + 33263558688*f/5 + 16631961728/5.
2*(f - 91192)**2*(f + 1)**2/5
Factor -2*i**2/5 - 539*i/10 - 201/5.
-(i + 134)*(4*i + 3)/10
Determine y so that 2*y**3/9 + 52*y**2/9 + 256*y/9 + 320/9 = 0.
-20, -4, -2
Factor -r**4 - 29*r**3 + 1661*r**2 + 60621*r + 335412.
-(r - 44)*(r + 7)*(r + 33)**2
Suppose 30*m**4 + 8007*m**3 - 8847*m**2 - 798*m + 1608 = 0. What is m?
-268, -2/5, 1/2, 1
Let -3*b**5 + 156*b**4 - 867*b**3 + 1830*b**2 - 1668*b + 552 = 0. What is b?
1, 2, 46
Solve 5*o**3 - 2430*o**2 + 2425*o = 0 for o.
0, 1, 485
Factor 2*k**3 + 304*k**2 + 1762*k + 1460.
2*(k + 1)*(k + 5)*(k + 146)
Factor v**2 - 2268*v - 11365.
(v - 2273)*(v + 5)
Suppose 27*g**4/5 - 186723*g**3/5 + 1430436*g**2/5 - 663228*g + 414480 = 0. What is g?
1, 10/3, 6908
Solve -2*q**2/25 - 376*q/25 - 374/25 = 0.
-187, -1
What is k in -k**5/2 - 89*k**4/2 + 369*k**3/2 - 279*k**2/2 = 0?
-93, 0, 1, 3
Factor 15*f**2 - 9582*f - 1917.
3*(f - 639)*(5*f + 1)
Determine l so that 4*l**2/5 + 190516*l/5 + 190496 = 0.
-47624, -5
What is g in g**5/4 - 7019*g**4/2 + 49224229*g**3/4 + 73931127*g**2 + 110944089*g = 0?
-3, 0, 7022
Solve -20*d**4 + 25644*d**3 - 132548*d**2 - 332076*d + 71512 = 0.
-2, 1/5, 7, 1277
Factor -p**5 + 715*p**4 + 1434*p**3.
-p**3*(p - 717)*(p + 2)
Suppose 3*y**3/5 + 36*y**2 + 1932*y/5 = 0. Calculate y.
-46, -14, 0
What is g in g**3/3 + 134*g**2 - 825*g - 3672 = 0?
-408, -3, 9
Find i, given that i**3/3 - 19889*i**2/6 - 44773*i/3 + 49745/6 = 0.
-5, 1/2, 9949
Determine x so that -330*x**4 + 19978*x**3 + 95064*x**2 + 40008*x + 2080 = 0.
-4, -2/5, -2/33, 65
Suppose -2*h**3/15 - 62*h**2/5 - 1256*h/5 + 8296/15 = 0. Calculate h.
-61, -34, 2
Factor -4*y**2/7 + 52*y - 1392/7.
-4*(y - 87)*(y - 4)/7
Factor 5*z**2 + 4325*z + 873120.
5*(z + 321)*(z + 544)
Factor s**2/2 - 115*s + 672.
(s - 224)*(s - 6)/2
Solve 3*n**3 - 1497*n**2 - 1500*n = 0.
-1, 0, 500
Determine s so that 5*s**2 - 31520*s + 126000 = 0.
4, 6300
What is y in -3*y**2 - 11646*y - 220191 = 0?
-3863, -19
Factor -3*a**4 + 17763*a**3.
-3*a**3*(a - 5921)
Factor -35*a**4 + 64475*a**3 - 39593790*a**2 + 8107298980*a - 1157377720.
-5*(a - 614)**3*(7*a - 1)
Suppose 3*t**3/4 + 948*t**2 + 3780*t = 0. What is t?
-1260, -4, 0
Find a, given that -4*a**2 - 224*a - 2736 = 0.
-38, -18
Let -3*o**4/8 - 333*o**3/8 - 1611*o**2/8 - 2235*o/8 - 477/4 = 0. Calculate o.
-106, -3, -1
Solve u**3/4 - 21*u**2/2 + 405*u/4 - 91 = 0 for u.
1, 13, 28
Determine x, given that -3*x**2 + 6873*x - 13734 = 0.
2, 2289
Suppose -4*s**2/5 + 58488*s/5 - 213802884/5 = 0. Calculate s.
7311
Suppose -48*k**5 - 8*k**4 + 580*k**3/3 + 290*k**2/9 - 16*k/3 - 8/9 = 0. What is k?
-2, -1/6, 1/6, 2
Factor u**3 - 594*u**2 + 87612*u + 177608.
(u - 298)**2*(u + 2)
Factor y**3 - 764*y**2 + 3040*y.
y*(y - 760)*(y - 4)
Let -2*i**5/3 - 4*i**4 + 70*i**3/3 + 88*i**2 - 320*i/3 = 0. Calculate i.
-8, -4, 0, 1, 5
Let -2*k**2/3 + 296416*k/3 - 10982805632/3 = 0. What is k?
74104
Suppose t**3/7 - 7348*t**2/7 - 73571*t/7 - 66222/7 = 0. Calculate t.
-9, -1, 7358
Solve 124*z**5 - 1388*z**4 + 2744*z**3 + 3488*z**2 - 768*z = 0 for z.
-1, 0, 6/31, 4, 8
Suppose -3*d**4 + 717*d**3 - 39285*d**2 - 1665393*d + 142376988 = 0. What is d?
-52,
|
{
"pile_set_name": "DM Mathematics"
}
|
t value in -2/13, o, 4?
4
Let m = -0.1 - -0.1. Let p = 0.15196 - -0.24804. What is the biggest value in m, -4, p, 4/7?
4/7
Let o be ((-4)/14)/(2/4). Let v = 82.946 - 83. Let g = v + 0.054. Which is the third biggest value? (a) -4 (b) o (c) g
a
Let u be (-1)/(-3)*(-24)/(-40). Suppose k + 11 = 6*v - 2*v, -5*k = -4*v + 7. Which is the second biggest value? (a) u (b) v (c) -0.2
a
Let f = -207.7387 - 0.2613. Which is the third biggest value? (a) 5 (b) 0.5 (c) f
c
Let u = -279.5 + 280. What is the third smallest value in u, 1/6, 1, -10?
u
Let v = 83 - 85. Which is the third biggest value? (a) v (b) -3 (c) 4 (d) 4/7
a
Let r = 1.1 - 0.9. Let b = 0.146 + -0.096. What is the second biggest value in 2/15, b, r?
2/15
Let k = -3.5 + -0.5. Let y = -3.596 + -1.404. What is the smallest value in k, -2, 1/5, y?
y
Let g = -227 - -223. What is the smallest value in g, -0.07, 0.32?
g
Let f = 49.89 + -52.89. Let l = -1546/9 - -172. Which is the second smallest value? (a) -13 (b) f (c) l
b
Let n = 9 - 5. Let i = 189 - 268. Let c = -78.9 - i. What is the third smallest value in -2, n, c?
n
Let y be ((-39)/(-21) - 2) + 0. Suppose -12 = v + 5*t + 5, t - 26 = 4*v. Let z be (-1 + v/(-5))*1. Which is the second smallest value? (a) z (b) y (c) 0
c
Suppose -l + 5*l - g = 79, 2*g = -4*l + 94. Let d = 29 - l. Suppose -d = y + y. Which is the biggest value? (a) y (b) 0.3 (c) -1
b
Let j = 6.7 - 7. Let d(k) = k**2 + 2*k - 165. Let o be d(-14). What is the second smallest value in j, o, -1/7?
-1/7
Let a = 10 - 8. Let s = a + -5. Let o = -10.7 + 1.7. What is the second smallest value in -2/7, s, o?
s
Let i = 119 - 198. Let l = 78 + i. What is the second biggest value in l, 5, 0.1?
0.1
Let i = -106/85 - -4/85. Let t = -28/15 - i. Suppose -n - 5 = -5*w, 2*w + 13 = -5*n + 15. Which is the second biggest value? (a) n (b) t (c) 4/3
a
Suppose 0 = -4*o + 2*r + 146, 2*o - 2*r = o + 44. Which is the biggest value? (a) 1 (b) o (c) -1/5 (d) 0.5
b
Let t be 6 + 3/(-15)*34. Which is the biggest value? (a) -5 (b) 5 (c) t (d) -21
b
Let t(f) = 2*f**2 + 12*f - 4. Let l be t(-6). Let v be (1 - 11*l)*-1. Let y be 21/v - 4/(-6). Which is the second biggest value? (a) 1 (b) 2/5 (c) y
b
Let u = -4 - -4.2. Let d = -16 + 19. Let m be (-20)/d*(-8)/64. What is the second biggest value in m, -4, u?
u
Let k = -2448/11 - -222. What is the third smallest value in 1, -4, k?
1
Let k = -94 + 98. Let x(h) = h**2 - 5*h. Let q be x(3). Let p be 8/q + (6 - 4). What is the biggest value in -2, p, k?
k
Let w(o) = -o**3 + 3*o**2 - 3*o - 1. Let n be w(3). Let g be n/15 + 385/15. What is the smallest value in 0, g, 2?
0
Let k = 5 - 21. Let z be 2/36*8/k. Let g = 13/36 + z. Which is the biggest value? (a) -2/5 (b) -1 (c) g
c
Let x = 41 - 22. Let d = -21 + x. What is the fourth smallest value in 5/6, d, 0.2, 0?
5/6
Let m = -155/2037 + 12/97. What is the smallest value in 2, -5, m?
-5
Let x be 70/(-180)*((-12)/(-28) + -1). Which is the third biggest value? (a) x (b) 0.08 (c) -0.4
c
Let g = 443855/336 - 1321. Let o = -997/3696 + g. Which is the second biggest value? (a) o (b) -2 (c) 1/3
a
Let l = -1530 + 36739/24. Let z = -7/12 + 11/24. Let p = z + l. What is the third biggest value in -4, p, -2/15?
-4
Let x = -0.0038 - -0.3038. Which is the third smallest value? (a) 5 (b) 2 (c) x (d) 0
b
Let q = 205 + -200. Which is the third smallest value? (a) -0.2 (b) 3/2 (c) -5 (d) q
b
Let v = -0.0963 - -0.0363. Which is the third smallest value? (a) 1/4 (b) v (c) -5 (d) 1/2
a
Let j = 4/139 + 210/2363. Let o = 3 + 1. What is the third smallest value in o, -0.4, j?
o
Let v = -3931/12 - -328. Let u = v - -1/4. What is the second biggest value in u, -5, 0?
0
Let y be 10/(-28) - (-13)/((-910)/(-20)). Which is the second biggest value? (a) -3 (b) 1/6 (c) y
c
Let i = 0.4 + -4.4. Let z = -0.17 - -0.144. Let u = 4.974 - z. Which is the third biggest value? (a) u (b) i (c) -1/5
b
Let d = 1/26 + -7/13. Let z = -0.05 + 6.05. Which is the second smallest value? (a) 2 (b) d (c) z
a
Let d = -158 - -157.9. What is the biggest value in d, 0.1, 0.3, -16?
0.3
Let q = 2316 - 48751/21. Let m = q - -36/7. Let l = 0.056 - -0.044. Which is the third biggest value? (a) 1/11 (b) m (c) l
b
Let o(n) = n - 6. Let h(w) = w**2 + 10*w - 21. Let l be h(-12). Let y be o(l). Which is the second biggest value? (a) -1/6 (b) -1/4 (c) 4 (d) y
a
Let u = -0.01 + -4.99. Suppose -120*g + 125*g = -15. Which is the third biggest value? (a) u (b) -0.5 (c) g (d) 0
c
Suppose 21 - 63 = -6*o. Suppose o*i = -31 + 10. Let h = -30/7 - -247/56. Which is the third smallest value? (a) i (b) 2 (c) h
b
Let l = 7.05 - 0.05. Let h = 200.2 - 200. What is the second smallest value in l, h, 3?
3
Let o = -34 + 32. Suppose 2*h = d - 19, 0 = d - 6*d + 25. Let y(c) = -2*c - 10. Let f be y(h). What is the second smallest value in o, 0.1, f?
0.1
Suppose -187 = 5*r - 5*l + 4*l, -120 = 3*r + 2*l. What is the third biggest value in r, -1/3, 5?
r
Let w = 4.31 - 3.81. What is the second biggest value in w, 15, -5?
w
Let l = -12 - -10. Which is the fourth smallest value? (a) l (b) 0.1 (c) -2/37 (d) -0.2
b
Let m = 1166 - 1169. Suppose 0 = 2*j + r - 1, -4 = -5*j - r. Which is the third smallest value? (a) j (b) -1 (c) m
a
Let l = -328 - -332. Which is the smallest value? (a) -39 (b) l (c) 0.1
a
Let v = -206 - -1858/9. Let o = -0.5 - 4.5. Let c = o - -4. What is the third biggest value in -3, c, v?
-3
Let k = 2 + -2.1. Let l = 13/18001 + -2544290/8514473. Let t = l - -5/43. Which is the third biggest value? (a) k (b) t (c) -5
c
Let r = -1.41 + 1.01. Which is the fourth biggest value? (a) r (b) -13 (c) -1 (d) 0.2
b
Let z = -27.384 - -27.4. Which is the third biggest value? (a) -2/7 (b) 0 (c) 3 (d) z
b
Let b = -0.04 + -0.01. Let l = -0.45 - b. Let a = 0 - l. What is the biggest value in -0.2, a, 0.1?
a
Let u = -272331/4354 + -15/622. Let v = -63 - u. Let r = -0.4 + 0. What is the biggest value in -11, v, r?
r
Suppose -5*k = 91 + 49. Let m = k - -18. Let u(i) = -i**2 - 11*i - 9. Let l be u(m). Which is the third smallest value? (a) l (b) 5/2 (c) 0.3
b
Let d be (-26)/(-65)*(1 - (-84)/(-69)). Let b = 4 - -3. What is the fourth smallest value in b, -0.1, d, -1/7?
b
Let f = 0.12 + -0.02. Let v = f - 0.13. Let t = v - -0.23. Which is the second smallest value? (a) t (b) 0.5 (c) 5
b
Let z = 1084 + -1078.93. Let h = 0.18 + -0.11. Let y = h - z. Which is the biggest value? (a) -0.1 (b) 1/10 (c) y
b
Let z = -0.252 - -0.152. Let i = 3/8 + -11/72. Suppose 5*x - 20 + 0 = 0. What is the smallest value in x, z, i?
z
Let f = 293 - 324. What is the third smallest value in -0.3, f, -1/3, 2?
-0.3
Let x be 6*(1/(-2))/1. Suppose -3*q + f = -2*q - 31, -88 = -3*q + 2*f. Let k be (q/8 - 3)*4. Which is the third biggest value? (a) -5 (b) k (c) x
a
Let f = 384.5 + -385. Which is the third biggest value? (a) 2/35 (b) 5 (c) f (d) -2/17
d
Suppose 2*z - 22*z = 20. What is the third smallest value in -1/11, 4, z, 330?
4
Let p = -918/7 + 922/7. Let y = -11 + -1. What is the biggest value in y, -3, p?
p
Suppose 7*s = 2*s + 25. Let n = s + -1. Let k = -2 + 1. Which is the third smallest value? (a) 2 (b) k (c) n
c
Let q = -4 - -2. Let p = 17 - 13.6. Let i = p - -1.6. What is the third smallest value in 0, q, i?
i
Let d be 10/(-15) + 4/(-3). What is the fourth biggest value in 0.9, 5, 2/7, d?
d
Let p(j) = -3*j - 19. Let x be p(0). Let i = x - -20. Which is the smallest value? (a) -0.2 (b) i (c) -5
c
Let t = -55 + 54.7. Which is the third biggest value? (a) t (b) 1 (c) 2/11
a
Let o(w) = -w**3 + 11*w**2 + w - 4. Let k be o(11). Suppose -k = -3*m - 1. Which is the biggest value? (a) 1 (b) m (c) -5
b
Let g = 3732 + -7683/2. Let k = g - -109. What is the second biggest value in k, 2/25, 2/13, -0.3?
2/25
Suppose 4*x - 33 = 3*x. Suppose 2*q + x = 39. What is the third biggest value in 1, -1, q?
-1
Suppose -35 = -3*u - 2*u. Suppose -10 = -0*n + 2*n. Which is the third biggest value? (a) u (b) 2 (c) n
c
Let w be (-11)/10 - 2/(-4). Let v = -144/11 - -1279/33. Let m = -233/9 + v. What is the third smallest value in 5, w, m?
5
Let h = 317 - 312. What is the second biggest value in -2/57, h, 1/7?
1/7
Let q = 239.8 - 241. Which i
|
{
"pile_set_name": "DM Mathematics"
}
|
16*sqrt(7) + 17
Simplify sqrt(119)/(1*sqrt(63)) - ((-5*(sqrt(153) + (sqrt(153) - (sqrt(153) + 3))))**2 + sqrt(153)).
-4050 + 1342*sqrt(17)/3
Simplify 1 + (((sqrt(84) + -3*sqrt(84))*2 - sqrt(84))/sqrt(12) + 3 + sqrt(21)/sqrt(147))**2.
-204*sqrt(7)/7 + 1226/7
Simplify 2*(sqrt(588)*-3)/(sqrt(150) + sqrt(150) + sqrt(150)*1 + sqrt(150)).
-21*sqrt(2)/10
Simplify 6*((2*sqrt(2736) - sqrt(2736)) + sqrt(2736) - sqrt(19))**2 + (sqrt(209)*2)/sqrt(11) + 1.
2*sqrt(19) + 60307
Simplify (6*(sqrt(425)*1*5 + -2*sqrt(425)*-6 + sqrt(425))*-5)**2.
123930000
Simplify (((sqrt(84) - -4*(sqrt(84) - (sqrt(84) + (sqrt(84) - (-3*sqrt(84) - sqrt(84) - sqrt(84)))))) + sqrt(84))/(sqrt(192)*2)*-6)**2*5.
38115/4
Simplify 1 + ((0 + sqrt(13))*-6 - (sqrt(1573) - (sqrt(1573) + 2))) + 3.
-6*sqrt(13) + 6
Simplify (0 + -1 + sqrt(2057) + sqrt(2057))**2*-3 + (5 + sqrt(2057)*1 + sqrt(2057) + sqrt(2057) + sqrt(2057) + 0 + 2)**2.
748*sqrt(17) + 8274
Simplify ((sqrt(68)/sqrt(2))/sqrt(2) + -2*(sqrt(17) + (sqrt(51)/sqrt(3) - sqrt(17) - sqrt(17))) + (-5 + sqrt(2448) + 1 - (1 + sqrt(2448)*-1)))**2.
-250*sqrt(17) + 10650
Simplify (4 + sqrt(2057) + -2 + sqrt(2057) - (sqrt(2057) - ((sqrt(2057)*-2 - sqrt(2057)) + -4)))*5.
-110*sqrt(17) - 10
Simplify ((sqrt(264)/(sqrt(16)/sqrt(2)) - sqrt(1188)*1)/((5*-2*sqrt(99))/sqrt(9)))**2.
3/4
Simplify 2 + ((sqrt(44) + sqrt(88)/sqrt(2)*2)/(sqrt(4) - (sqrt(36) - (sqrt(324) + sqrt(36)))))**2.
299/100
Simplify ((2*sqrt(385))/sqrt(11) + sqrt(875)*3)/(sqrt(21)/(sqrt(21)/(sqrt(7) + (sqrt(7) - sqrt(7)*-1) - sqrt(7)))).
17*sqrt(5)/2
Simplify ((sqrt(11) + -1)*-4 + -3)**2 + (sqrt(132)/(sqrt(12) + (sqrt(120)*1)/sqrt(10)))**2.
-8*sqrt(11) + 719/4
Simplify -3*(sqrt(2448)*-2)**2 + (4*(2*sqrt(153))/sqrt(9))**2.
-28288
Simplify ((-1*sqrt(132) - sqrt(132))*-6)/((sqrt(144)*1)/sqrt(12) + sqrt(12)) - ((sqrt(99) + 0 - sqrt(99)) + 2*(sqrt(11) + 0 + sqrt(11))).
2*sqrt(11)
Simplify -3 + (-1 + sqrt(1584))*1 + (6*((sqrt(396) + 1)*1 - sqrt(396)))**2.
32 + 12*sqrt(11)
Simplify ((sqrt(11) - -5*sqrt(44)/sqrt(4) - sqrt(704)) + (1*sqrt(121)*2)/(-6*sqrt(11)*-1))**2.
275/9
Simplify -3*((sqrt(272)*-2 - sqrt(272))*-4 - (-2 + sqrt(272))*-3)**2.
-183708 + 2160*sqrt(17)
Simplify (3*sqrt(144))/sqrt(12) + (sqrt(9)/sqrt(3) - sqrt(3)) + 5 + sqrt(3)*2 + 4.
9 + 8*sqrt(3)
Simplify -5*(3*((2*sqrt(55))/sqrt(5))**2 + 3*sqrt(704)*-1).
-660 + 120*sqrt(11)
Simplify -2 + ((sqrt(2) - (sqrt(100)/sqrt(5))/sqrt(10))**2 - 2*sqrt(4)/sqrt(2)).
-2*sqrt(2) - 2
Simplify -1*(2 + (sqrt(2) - sqrt(14)/sqrt(7) - sqrt(2)) + (sqrt(24)*3)/sqrt(12))*-2.
4 + 4*sqrt(2)
Simplify ((sqrt(2401) + 2*sqrt(2401))/(sqrt(7) - (-1*sqrt(252) + sqrt(252)))*-6)**2.
111132
Simplify 5 + ((2 + sqrt(704) - (sqrt(66)/sqrt(6)*-1 - sqrt(11))) + -2)**2.
1105
Simplify (sqrt(2736)*-1 + 1 + 2 + ((1*sqrt(2736) + sqrt(2736) - sqrt(2736)) + 4 - (sqrt(2736) + -5 + sqrt(2736)*-1 + sqrt(2736))))**2.
-288*sqrt(19) + 2880
Simplify (3*(sqrt(49)/(sqrt(112)*-4 - sqrt(7)) - sqrt(28)/((sqrt(96)/sqrt(6))/sqrt(4))))**2.
20412/289
Simplify (sqrt(1300) + 1 + -2 + ((3*sqrt(1300) - sqrt(1300))*2 - sqrt(1300)) + -5)**2.
-480*sqrt(13) + 20836
Simplify (-2*sqrt(170)*2)/((sqrt(100) + ((sqrt(100) - (sqrt(100) + (-4*sqrt(100) - sqrt(100)))) + sqrt(100) - sqrt(100)))/sqrt(10)).
-2*sqrt(17)/3
Simplify (1*(sqrt(56) - sqrt(224)*5))/(-1*sqrt(200)*-3).
-3*sqrt(7)/5
Simplify 6*((sqrt(6)*-1)/sqrt(3) + sqrt(14)/sqrt(63) + 0).
-4*sqrt(2)
Simplify (((sqrt(110) + (sqrt(110) + (sqrt(110) - (sqrt(110)*-1 - sqrt(110))) - sqrt(110)))*-4)/sqrt(10) + 2*sqrt(275)*-1)**2.
7436
Simplify 4 + (-4*(sqrt(133) - sqrt(133)*-5))/(sqrt(112)*3 - sqrt(7) - sqrt(7)).
-12*sqrt(19)/5 + 4
Simplify (-3*sqrt(38)*-2 + sqrt(38))/(sqrt(128) + -2*sqrt(128)).
-7*sqrt(19)/8
Simplify (sqrt(252)*1*2)/(sqrt(900)*1*-6).
-sqrt(7)/15
Simplify (-6*(sqrt(684) + sqrt(684) + 1) - sqrt(684))**2 - (sqrt(19) + -2*sqrt(76) - (-4 + sqrt(19)*-1 + sqrt(19)))**2.
960*sqrt(19) + 115445
Simplify 1*((sqrt(88)/sqrt(8)*5 + sqrt(11) - sqrt(11)) + sqrt(11) + -4*sqrt(11) + 0)*4.
8*sqrt(11)
Simplify ((-3*sqrt(84)*-3 + sqrt(84))*2)/(2*((sqrt(12) - (sqrt(540) + sqrt(60))/sqrt(5)) + sqrt(12))).
-5*sqrt(7)
Simplify (3*(sqrt(16)/(sqrt(32)/sqrt(4)) - 2*sqrt(128)) + 3)**2.
-270*sqrt(2) + 4059
Simplify (-3 + ((2*sqrt(78)*-2 - sqrt(78))/((sqrt(6) - (sqrt(6) - (-1*sqrt(54))/sqrt(9) - sqrt(6))) + sqrt(6)))**2)*-2.
-644
Simplify (3*(sqrt(68)/(sqrt(16)/sqrt(4)) - -5*(sqrt(17) - (sqrt(68)/sqrt(4) - sqrt(17)))))**2.
5508
Simplify -1*(-5 + (((0 + sqrt(637))*6 - sqrt(637)*2*-2) + 1)**2).
-63696 - 140*sqrt(13)
Simplify 5*((sqrt(114)*1)/sqrt(6)*-1 - ((sqrt(19) - (sqrt(171))**2) + 2 - (1 + sqrt(1216))**2)) + 2.
70*sqrt(19) + 6932
Simplify (1*-1*sqrt(30))/(2*sqrt(1000)) + 4.
-sqrt(3)/20 + 4
Simplify (4 + sqrt(1088) + 2 + -2)**2 + (sqrt(1088) + 2 + 3)*5.
104*sqrt(17) + 1129
Simplify (-1*(sqrt(96) + (sqrt(96) + 1*sqrt(96) - sqrt(96) - sqrt(96)))/sqrt(8))/(sqrt(8)/sqrt(2)*-5 + sqrt(4) - -6*(sqrt(4) + 2*sqrt(4))).
-sqrt(3)/14
Simplify -2*(-4 + (sqrt(51)/sqrt(3) + 4 - sqrt(136)/(sqrt(32) + sqrt(8))) + 4)**2 + 5.
-32*sqrt(17)/3 - 379/9
Simplify (sqrt(2) - sqrt(12)/sqrt(150) - (sqrt(2) + 2 + 5))**2*-6 + 1.
-7337/25 - 84*sqrt(2)/5
Simplify (2 + sqrt(425) + 1 + sqrt(425) + 5)*1*-3.
-30*sqrt(17) - 24
Simplify 6*((2*sqrt(78)*-1*-6)/((sqrt(72) + 1*(sqrt(72) - -1*sqrt(72)))/sqrt(12)))**2.
1248
Simplify -5 + (sqrt(8)*-4 + (sqrt(2) - (-2 + sqrt(8)/sqrt(4))) + sqrt(88)/sqrt(11) + (5 + sqrt(8) - sqrt(2)))**2.
-70*sqrt(2) + 94
Simplify (4*sqrt(5200)*-2)/(sqrt(128)/sqrt(2) - sqrt(28)/(sqrt(28)/sqrt(4))).
-80*sqrt(13)/3
Simplify ((sqrt(10) + sqrt(40)*-1)/(-2*sqrt(180))*4)**2.
2/9
Simplify (sqrt(171)*4 + 3)*-5*1*-1.
15 + 60*sqrt(19)
Simplify (-1 + 1*(2 + sqrt(1584) + 2*sqrt(1584) + sqrt(1584) + sqrt(1584)) + 0)**2*6.
720*sqrt(11) + 237606
Simplify ((sqrt(396) - 2*sqrt(396))*-4 + 4 + (sqrt(396) + (1 + sqrt(396) - sqrt(396)) + 3)*3)**2.
1344*sqrt(11) + 19660
Simplify (sqrt(104)*-1*-2 - sqrt(104) - sqrt(104) - (sqrt(104) + sqrt(104) + sqrt(104)*-1 + sqrt(104))*1)/(sqrt(8)*1*-1 + (-1*sqrt(88))/sqrt(11))*1.
sqrt(13)
Simplify ((sqrt(1701)*2 - sqrt(1701))/(-6*sqrt(9)/sqrt(3)) - (sqrt(7) + -2 + 1 - sqrt(77)/(sqrt(11) - (sqrt(275) + sqrt(11)))))**2.
-27*sqrt(7)/5 + 5203/100
Simplify (2 + -3*(0 + sqrt(5))*6)**2*4 + -5.
-288*sqrt(5) + 6491
Simplify 2 + (-6*sqrt(6)/sqrt(3) - (sqrt(24)/sqrt(3))/sqrt(4))**2*4.
394
Simplify 4*(2*sqrt(152)/sqrt(4))/(-1*sqrt(2)*3).
-8*sqrt(19)/3
Simplify (-5 + -4 + sqrt(13)*2)*-5 + 4.
-10*sqrt(13) + 49
Simplify -6*(sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192) + 0))*6 - sqrt(192))*3.
-144*sqrt(3)
Simplify ((-4*(-4*(1*sqrt(99) + sqrt(99) + sqrt(99)) + sqrt(99)))/(-6*sqrt(9)*-1*5))**2*-1.
-5324/225
Simplify (-6*(2 + -3 + -1 + sqrt(1539) + 5))**2*3.
5832*sqrt(19) + 167184
Simplify 2 + (-1*sqrt(245) + sqrt(245) + 4 - (-2 + sqrt(245) + -1)**2) + 0.
-248 + 42*sqrt(5)
Simplify 1 + (sqrt(3) + 0)*3 - (((sqrt(147) - (sqrt(147) + sqrt(147)*3))/sqrt(7) + sqrt(21))/sqrt(7))**2.
-11 + 3*sqrt(3)
Simplify ((sqrt(60)/sqrt(5) + 1*sqrt(3) + -4 + 5)*-5)**2.
150*sqrt(3) + 700
Simplify (-2*6*(-2*-2*sqrt(153) + sqrt(153)*1*4)*-5)**2.
35251200
Simplify 3 + (sqrt(77)/sqrt(176))**2 - (1*sqrt(7)*-1 + (1 + -1 + sqrt(7) - sqrt(7))**2).
sqrt(7) + 55/16
Simplify ((-4*sqrt(117) - sqrt(117) - sqrt(117))*1 + sqrt(117) + sqrt(117))/sqrt(9) - ((5*sqrt(104) - sqrt(104))/sqrt(8))**2*1.
-208 - 4*sqrt(13)
Simplify 3 + -5 + ((2*sqrt(153))**2 + -3 - (sqrt(153) + sqrt(153) + (sqrt(153) - (-4 + -1 + sqrt(153)))**2)).
-6*sqrt(17) + 582
Simplify 3 + 2 + (sqrt(5) + 1 + 0)*-2*4.
-8*sqrt(5) - 3
Simplify (sqrt(432)*2 + -2 + -3 - (5 + sqrt(432)*-1 - sqrt(432)*-2*6))**2.
2160*sqrt(3) + 35092
Simplify (sqrt(1617) + (sqrt(1617) + sqrt(1617)*-1 + sqrt(1617))*-4)/((sqrt(108)/(sqrt(12) - sqrt(12)*1 - sqrt(12)))/sqrt(3)).
21*sqrt(11)
Simplify ((sqrt(85) + -4*((sqrt(85)*-1 - sqrt(85)) + sqrt(85)) + sqrt(85) + -6*sqrt(85)*-2)/(sqrt(180)/sqrt(144)))**2.
22032
Simplify (sqrt(1210)*-1 - (sqrt(10) - 1*sqrt(160)))/(-6*sqrt(8)*3).
2*sqrt(5)/9
Simplify ((sqrt(133) - (sqrt(133) - (sqrt(133) - (sqrt(133)*2*-1 + sqrt(133))) - sqrt(133))) + sqrt(133) + 1*sqrt(133)*-2)/(sqrt(14)/(sqrt(2)*-3*4)).
-24*sqrt(19)
Simplify 2 + sqrt(8)/(3*sqrt(4)) - (3 + sqrt(2)*1)*-3.
10*sqrt(2)/3 + 11
Simplify (2 + 2 + ((sqrt(800) - sqrt(800)*-2) + -1 - (sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*t - 335. Let r(u) = -2*u**2 + 10*u - 10. Let f be r(7). Let h = f - t. Calculate the highest common factor of 9 and h.
9
Suppose -4*b + 32 = -2*b. Suppose -c = -2*c + 24. Calculate the greatest common factor of b and c.
8
Let c(l) = -l - 6. Let s be c(-4). Let q = s - -4. Calculate the greatest common factor of q and 1.
1
Let s = -2 - -1. Let v = 23 + s. Let q be (-9)/(-2)*462/189. Calculate the highest common divisor of v and q.
11
Suppose 0 = f - 2 - 1. Suppose -2*w + 35 = f*w. What is the greatest common factor of 56 and w?
7
Let v be 3*4/9*-3. Let s be 6/v + (-22)/(-4). Suppose 3*z = x - s*x + 18, -3*z + 2*x = -38. What is the highest common divisor of z and 30?
10
Suppose 1 = -2*r - 1. Let v be (-15)/(-2 - r) + -2. Calculate the highest common divisor of 104 and v.
13
Suppose -7*k + 329 + 483 = 0. Calculate the highest common divisor of 29 and k.
29
Let v(u) = u**2 + 10. Let g be v(0). Let a(c) = 4*c**2 + 5*c - 4. Let r be a(4). What is the highest common factor of r and g?
10
Suppose -t = 4*z + 428 + 179, 2*z - 5*t = -287. Let r = z - -211. Suppose 2*a + a - 33 = y, 3*a = 4*y + 24. Calculate the highest common divisor of r and a.
12
Suppose 21*s - 18*s = 9. Let q(d) = 73*d + 1. Let b be q(1). Suppose s*p - b = 58. What is the highest common factor of p and 11?
11
Let i = 61 - -101. Let h be i/8 - (-3)/(-12). Suppose -z + 8 = 4*m, -3*z = -0*z + 2*m - 54. What is the greatest common divisor of h and z?
20
Let b = 9 + -5. Suppose 0*h + h = b. Let y(s) = -s + 12. Let z be y(0). What is the highest common divisor of z and h?
4
Let i be (-10)/(-4)*12/10. Let p be (-3)/(0 - i/15). Let a be 4/2 - -4 - 0. What is the greatest common factor of p and a?
3
Let q(i) = -2*i - 7. Let n = 11 + -18. Let a be q(n). What is the highest common divisor of 42 and a?
7
Suppose a + 7 = -0*q - q, -a = 2*q + 10. Let h be 5 - (6*-1)/q. Calculate the highest common factor of 2 and h.
1
Let c(n) = 4 - 2*n + 3*n + n. Let p(r) = -r**3 - 4*r**2 - r + 3. Let j be p(-4). Let y be c(j). What is the greatest common divisor of y and 36?
18
Let t be (18/10)/(12/40). Suppose 0 = t*l - 2*l - 56. Calculate the greatest common factor of 28 and l.
14
Let z be (-209)/2*-2 + -1. Let q be (1 - 0)/(4 - (-309)/(-78)). Calculate the greatest common factor of q and z.
26
Let b = -1 + -5. Let p be (-3 + (-28)/b)*3. What is the greatest common factor of 55 and p?
5
Let k be 2/4 - 35/(-2). Let p = k - -46. Let d = 9 + -1. What is the greatest common divisor of p and d?
8
Suppose 0 = -2*j + 3*n + 425, 0*n + 3 = -n. Suppose r = q - 21, 0 = 3*r + 2 - 17. What is the highest common divisor of j and q?
26
Suppose -5*q = -4*v + 64 + 59, 2*q + 87 = 3*v. What is the highest common divisor of 9 and v?
9
Let h = 17 + -13. What is the highest common factor of h and 8?
4
Let w(g) = g**2 + 1 - 1 - 2 + 2*g. Let u be w(-5). Suppose -5*r - b + 199 = 0, 4*r - b = 85 + 67. Calculate the greatest common divisor of u and r.
13
Let x be -1 + 1 + 0 + 8. Let i be (-2538)/(-14) - x/28. Suppose -5*w - 4*o + i = 0, -2*o - 2*o = -w + 17. Calculate the greatest common factor of w and 11.
11
Suppose -7*r + 134 = -209. What is the highest common divisor of r and 441?
49
Suppose 0 = 3*w + 3*x + 2*x - 70, -10 = -2*x. Calculate the highest common divisor of w and 3.
3
Let u(o) = 2*o + 1. Let a be u(1). Suppose 5*c + 262 = -a*f + 9*c, -3*c + 261 = -3*f. Let b = -38 - f. What is the highest common divisor of 12 and b?
12
Let o = 11 - -12. Calculate the highest common divisor of 46 and o.
23
Let j be 0 + 6 + 1 + -2. Suppose 0 = 3*t + j*f - 38, 4*t + 5*f - f = 40. Let v be (-172)/(-14) - (-2)/(-7). What is the greatest common factor of v and t?
6
Suppose -5*y - 3*z + 33 = 0, -2*y - 15 = -4*y - 3*z. What is the greatest common divisor of 6 and y?
6
Suppose 5*m - 75 = -0*m. Let y be ((-8)/(-10))/(2/m). What is the highest common factor of 6 and y?
6
Let u be (-1)/(-1 + 2/4). Suppose 0 = -0*o + u*o - 36. What is the greatest common factor of 6 and o?
6
Let d = -11 - -23. What is the highest common divisor of d and 6?
6
Let k = 144 + -100. What is the highest common factor of 66 and k?
22
Let q be -3 + -2 + 0 + 2. Let j be -2*(1 - q/2). Let l = j - -9. Calculate the highest common factor of 8 and l.
4
Let m = 352 - 143. Suppose -2*y + 100 = 4*h, 7*h - m = -4*y + 2*h. Suppose 0*g - 7 = -g. What is the highest common factor of g and y?
7
Let x = 152 - 77. Suppose x = 6*b - 3*b. What is the highest common divisor of b and 75?
25
Let b be (6/(-8))/(2/(-96)). Let k be (-58)/(-5) + (-22)/(-55). Calculate the greatest common divisor of k and b.
12
Suppose 37 + 211 = x. Calculate the greatest common factor of 31 and x.
31
Suppose 6 = 4*d - 18. Let m = 0 + 1. Let v = 11 + m. Calculate the greatest common divisor of v and d.
6
Suppose 4*y - 5*j - 5 = 60, 0 = -y + 3*j + 25. Calculate the highest common factor of 10 and y.
10
Let n = 21 + -7. Let s be (-6)/21 + 522/n. Let w = -25 + s. Calculate the highest common factor of 60 and w.
12
Let a be (8/(-10))/(1/(-35)). Suppose -3*x = 83 - 1007. What is the highest common factor of a and x?
28
Let h be (-2)/7 + (-180)/(-42). Let j = -43 + 83. What is the highest common divisor of j and h?
4
Let a = -168 - -175. What is the highest common factor of 77 and a?
7
Suppose -2*d = 2*d - 4. Let r be d + 2 + 222/3. Suppose 3*q - 5 = 16. What is the greatest common divisor of r and q?
7
Let m(s) = 1. Let g(o) = -15*o + 7. Let k(d) = g(d) - m(d). Let y be k(-5). What is the greatest common factor of 9 and y?
9
Let l(q) = q**2 - 2*q + 16. Let f be l(0). What is the highest common divisor of 4 and f?
4
Let o be (-13)/11 + (-2)/(-11). Let a(w) = 177*w**2 - 1. Let k be a(o). What is the greatest common divisor of k and 22?
22
Let w be (3/(-6))/(2/(-28)). What is the greatest common factor of w and 77?
7
Let i = 21 - 11. What is the highest common factor of 80 and i?
10
Suppose 4*p - 98 = 14. Let y = 13 + -9. What is the highest common factor of y and p?
4
Let a = 51 + -41. Suppose 4*l - 2 = 2*x, 3*x - 1 = -5*l + 18. Calculate the greatest common divisor of l and a.
2
Suppose 4*r - 2 = d + 8, d - r + 1 = 0. Suppose -d*n + 5*c = 3, -3*n - c + 3 = -1. What is the greatest common factor of 3 and n?
1
Let a be 9 + (6/15*5)/2. Let g(w) = -4*w. Let c be g(-1). Suppose 2*l - l = c. What is the greatest common divisor of l and a?
2
Suppose 4*d - 29 = -5*w, -w + 3*d = -0*d - 2. Let g be 8/(-10)*(-5)/2. What is the highest common divisor of w and g?
1
Let p(q) = q**3 - 3*q**2 - 4*q + 6. Let v be p(4). Calculate the greatest common divisor of 24 and v.
6
Suppose -a - 1 = -3. Let q = -2 + a. Let u(g) = -g**3 + g**2 + 25. Let z be u(q). Calculate the greatest common divisor of 5 and z.
5
Let n(l) = -3*l**3 - 19*l**2 + 8*l + 17. Let j be n(-8). What is the highest common divisor of 39 and j?
39
Let s be 2 + 4 - -3*3/9. Calculate the highest common divisor of s and 7.
7
Let k = 8 + -28. Let f be 276/15 + 8/k. What is the highest common divisor of f and 12?
6
Suppose 4*v = 12, -2*v = b + 2*v - 21. Let s(x) = -6*x + 3. Let a be s(-7). What is the highest common factor of b and a?
9
Suppose 3*w + 2*w = 75. What is the greatest common factor of w and 15?
15
Suppose -3*g + 2*g = -5*x - 11, 2*x = -3*g - 18. Let o(l) = -l**2 - 4*l + 1. Let s be o(x). Calculate the highest common factor of s and 36.
4
Suppose 3*r = 9 + 9. Suppose k - 4 = -0*k. Suppose 152 = 4*t + k*o, 3*o = -2*t - 2*t + 150. Calculate the highest common divisor of t and r.
6
Let q(x) = x**3 - 4*x**2 + 5*x + 2. Let k be q(4). What is the greatest common factor of k and 2?
2
Let l(k) = k**3 - k**2 - k - 7. Let p be l(5). Let n = p - 57. Let d be (n - 1) + (-2)/1. What is the greatest common divisor of d and 4?
4
Let n be ((-4)/(-10))/((-4)/(-60)). Let q(w) = 4*w**3 - 3*w**2 + 2*w. Let p be q(2). What is the greatest common factor of n and p?
6
Suppose 0 = -2*c + 152 + 88. Suppose -y = y - c. Suppose 42 = 28*k - 378. Calculate the highest common factor of y and k.
15
Let s = 60 - 15. Let z = 270 + -261. Calculate the highest common factor of z and s.
9
Let s(y) = -2*y + 1. Let c be s(-3). What is the highest common divisor of 21 and c?
7
Suppose -7*w + 460 = 40. Calculate the greatest common divisor of 105 and w.
15
Let p = 64 + -39. Calculate the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
-49559, -49560?
-s - 49554
What is the p'th term of 36050, 36042, 36034?
-8*p + 36058
What is the f'th term of -1400, -1599, -1798, -1997?
-199*f - 1201
What is the n'th term of -3532, -7061, -10590, -14119, -17648?
-3529*n - 3
What is the k'th term of -839603, -839605, -839607, -839609, -839611?
-2*k - 839601
What is the y'th term of -5437, -5420, -5403, -5386, -5369?
17*y - 5454
What is the y'th term of -1154, -1194, -1234, -1274, -1314?
-40*y - 1114
What is the j'th term of -2345, -3532, -5503, -8252, -11773, -16060, -21107?
j**3 - 398*j**2 - 1948
What is the m'th term of -478, -480, -482, -484?
-2*m - 476
What is the s'th term of -7545925, -7545920, -7545911, -7545898, -7545881, -7545860, -7545835?
2*s**2 - s - 7545926
What is the k'th term of 4551, 4575, 4637, 4755, 4947, 5231?
3*k**3 + k**2 + 4547
What is the g'th term of -367, -431, -499, -565, -623, -667, -691, -689?
g**3 - 8*g**2 - 47*g - 313
What is the b'th term of -41249, -164982, -371197, -659894, -1031073, -1484734?
-41241*b**2 - 10*b + 2
What is the g'th term of -20393, -20394, -20395?
-g - 20392
What is the g'th term of 16612, 33250, 49888, 66526?
16638*g - 26
What is the c'th term of 1909, 2243, 2799, 3577, 4577, 5799?
111*c**2 + c + 1797
What is the c'th term of -23720, -94890, -213510, -379580, -593100, -854070, -1162490?
-23725*c**2 + 5*c
What is the r'th term of -9157, -18307, -27457, -36607?
-9150*r - 7
What is the q'th term of 112846, 112849, 112852?
3*q + 112843
What is the d'th term of 1553214, 3106428, 4659642, 6212856, 7766070, 9319284?
1553214*d
What is the l'th term of -2319, -4633, -6947?
-2314*l - 5
What is the v'th term of -2917, -11681, -26295, -46759?
-2925*v**2 + 11*v - 3
What is the o'th term of 15078, 15423, 15768?
345*o + 14733
What is the x'th term of -481, -703, -1077, -1603, -2281, -3111?
-76*x**2 + 6*x - 411
What is the h'th term of -1472, -1455, -1434, -1409, -1380?
2*h**2 + 11*h - 1485
What is the q'th term of -160, -250, -444, -778, -1288?
-6*q**3 - 16*q**2 - 138
What is the j'th term of 253, 974, 2143, 3742, 5753, 8158, 10939, 14078?
-3*j**3 + 242*j**2 + 16*j - 2
What is the c'th term of 4069, 8110, 12165, 16240, 20341, 24474, 28645, 32860?
c**3 + c**2 + 4031*c + 36
What is the b'th term of -6837, -6425, -5727, -4737, -3449?
b**3 + 137*b**2 - 6*b - 6969
What is the s'th term of -704, -589, -340, 91, 752?
8*s**3 + 19*s**2 + 2*s - 733
What is the s'th term of -30640, -61289, -91946, -122617, -153308, -184025, -214774, -245561?
-s**3 + 2*s**2 - 30648*s + 7
What is the l'th term of -8127, -16259, -24393, -32529?
-l**2 - 8129*l + 3
What is the y'th term of -40070, -80141, -120212?
-40071*y + 1
What is the l'th term of -220163, -440326, -660489, -880652, -1100815?
-220163*l
What is the v'th term of 184, 489, 962, 1597, 2388?
-v**3 + 90*v**2 + 42*v + 53
What is the d'th term of -2582, -2597, -2622, -2657, -2702?
-5*d**2 - 2577
What is the x'th term of 24658, 98482, 221514, 393748, 615178, 885798?
-x**3 + 24610*x**2 + x + 48
What is the l'th term of 2296, 4598, 6900, 9202?
2302*l - 6
What is the u'th term of 115388, 115386, 115382, 115376, 115368?
-u**2 + u + 115388
What is the f'th term of 13791, 55126, 124017, 220464, 344467?
13778*f**2 + f + 12
What is the s'th term of 3910285, 7820572, 11730859?
3910287*s - 2
What is the x'th term of 666717, 1333433, 2000149, 2666865, 3333581, 4000297?
666716*x + 1
What is the s'th term of -69, -131, -145, -87, 67, 341?
4*s**3 - 90*s + 17
What is the a'th term of -5962, -5966, -5970, -5974?
-4*a - 5958
What is the s'th term of -692, -619, -546?
73*s - 765
What is the f'th term of -4007, -3985, -3959, -3929, -3895, -3857, -3815?
2*f**2 + 16*f - 4025
What is the f'th term of -9597, -9594, -9581, -9552, -9501, -9422, -9309?
f**3 - f**2 - f - 9596
What is the p'th term of -730, -1441, -2130, -2797, -3442, -4065, -4666?
11*p**2 - 744*p + 3
What is the r'th term of 4548, 6060, 7572?
1512*r + 3036
What is the z'th term of -7256, -7460, -7664, -7868?
-204*z - 7052
What is the w'th term of -171, -259, -271, -219, -115, 29?
-2*w**3 + 50*w**2 - 224*w + 5
What is the v'th term of 31893, 31896, 31899?
3*v + 31890
What is the f'th term of 200, 260, 284, 254, 152, -40?
-3*f**3 + 81*f + 122
What is the d'th term of -64, -156, -248, -340, -432?
-92*d + 28
What is the l'th term of -1, 75, 161, 263, 387, 539, 725, 951?
l**3 - l**2 + 72*l - 73
What is the z'th term of -943, -3568, -7933, -14032, -21859, -31408, -42673?
z**3 - 876*z**2 - 4*z - 64
What is the y'th term of -3578, -3583, -3588?
-5*y - 3573
What is the v'th term of 874, 7207, 24414, 57931, 113194, 195639?
906*v**3 + v**2 - 12*v - 21
What is the j'th term of -34, -2, 188, 614, 1354, 2486, 4088, 6238?
13*j**3 + j**2 - 62*j + 14
What is the i'th term of 107, 414, 927, 1646, 2571, 3702, 5039?
103*i**2 - 2*i + 6
What is the o'th term of -9549, -9203, -8625, -7815, -6773?
116*o**2 - 2*o - 9663
What is the g'th term of 5429, 10857, 16285, 21713, 27141, 32569?
5428*g + 1
What is the c'th term of -11760, -11753, -11750, -11757, -11780, -11825?
-c**3 + 4*c**2 + 2*c - 11765
What is the o'th term of -321, -500, -707, -942?
-14*o**2 - 137*o - 170
What is the x'th term of -93, -26, 43, 114, 187?
x**2 + 64*x - 158
What is the q'th term of -6, -21, -46, -81, -126, -181, -246?
-5*q**2 - 1
What is the w'th term of -2365, -4736, -7107, -9478, -11849, -14220?
-2371*w + 6
What is the n'th term of -2383, -9536, -21451, -38122, -59543, -85708, -116611, -152246?
n**3 - 2387*n**2 + n + 2
What is the a'th term of -570, -1147, -1734, -2331, -2938, -3555, -4182?
-5*a**2 - 562*a - 3
What is the f'th term of -154, -1011, -2572, -4837, -7806, -11479, -15856?
-352*f**2 + 199*f - 1
What is the h'th term of -139, -272, -463, -706, -995, -1324?
h**3 - 35*h**2 - 35*h - 70
What is the m'th term of 126, 369, 782, 1377, 2166?
2*m**3 + 73*m**2 + 10*m + 41
What is the s'th term of -480, -440, -344, -168, 112, 520, 1080?
4*s**3 + 4*s**2 - 488
What is the b'th term of 146, 529, 912, 1295, 1678, 2061?
383*b - 237
What is the i'th term of 7949, 8115, 8281, 8447?
166*i + 7783
What is the y'th term of -764, -1519, -2270, -3017, -3760, -4499, -5234?
2*y**2 - 761*y - 5
What is the r'th term of 1661, 3289, 4931, 6593, 8281, 10001?
r**3 + r**2 + 1618*r + 41
What is the i'th term of 42, 32, 0, -60, -154, -288, -468, -700?
-i**3 - 5*i**2 + 12*i + 36
What is the o'th term of -1565, -1831, -2087, -2327, -2545, -2735, -2891?
o**3 - o**2 - 270*o - 1295
What is the z'th term of -80027, -79999, -79969, -79937?
z**2 + 25*z - 80053
What is the d'th term of -28, 264, 772, 1496, 2436, 3592?
108*d**2 - 32*d - 104
What is the a'th term of -989, -1172, -1483, -1928, -2513, -3244?
-a**3 - 58*a**2 - 2*a - 928
What is the m'th term of -287, -320, -379, -470, -599, -772?
-m**3 - 7*m**2 - 5*m - 274
What is the t'th term of 840, 747, 652, 555, 456, 355?
-t**2 - 90*t + 931
What is the h'th term of 328, 123, -86, -299, -516, -737?
-2*h**2 - 199*h + 529
What is the f'th term of -86370, -172739, -259108, -345477?
-86369*f - 1
What is the v'th term of -2237890, -2237889, -2237888, -2237887, -2237886, -2237885?
v - 2237891
What is the l'th term of 86, 185, 292, 407, 530, 661, 800?
4*l**2 + 87*l - 5
What is the t'th term of 123320, 246635, 369950?
123315*t + 5
What is the s'th term of 354, 316, 266, 204, 130, 44, -54?
-6*s**2 - 20*s + 380
What is the n'th term of -115, -321, -649, -1099?
-61*n**2 - 23*n - 31
What is the n'th term of 7652, 15213, 22774?
7561*n + 91
What is the k'th term of 462, 526, 618, 726, 838, 942, 1026?
-2*k**3 + 26*k**2 + 438
What is the f'th term of 92, 318, 714, 1292, 2064, 3042?
2*f**3 + 73*f**2 - 7*f + 24
What is the h'th term of 2119, 1952, 1785, 1618, 1451?
-167*h + 2286
What is the j'th term of -110, -463, -1050, -1871, -2926?
-117*j**2 - 2*j + 9
What is the n'th term of -278, -179, -84, 7, 94?
-2*n**2 + 105*n - 381
What is the p'th term of 4, -119, -464, -1145, -2276?
-19*p**3 + 3*p**2 + p + 19
What is the j'th term of -14456, -28912, -43368, -57824, -72280, -86736?
-14456*j
What is the n'th term of -180, -1296, -4290, -10104, -19680, -33960?
-157*n**3 + 3*n**2 - 26*n
What is the n'th term of -3837, -3861, -3923, -4041, -4233?
-3*n**3 - n**2 - 3833
What is the n'th term of -22169, -22178, -22187, -22196?
-9*n - 22160
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
s -1 greater than or equal to -50/85571539?
False
Is -4.3892 greater than or equal to -2?
False
Which is greater: 1 or -233/59412?
1
Which is bigger: 62018612/25 or 2480743?
62018612/25
Which is smaller: 879/9472 or 1?
879/9472
Does -2/1503 = -1967588?
False
Is -89322335 less than or equal to -89322335?
True
Is 63127 at least 63611?
False
Which is smaller: 49/176 or 0.39?
49/176
Is -228708 bigger than 469?
False
Which is smaller: 2052315/1802 or 1138?
1138
Which is smaller: -8646157 or -17292313/2?
-8646157
Is -14/3342159 smaller than -1?
False
Which is greater: -5206912 or -5206944?
-5206912
Is 352 not equal to 184416/523?
True
Which is smaller: -1/3 or -137199/898?
-137199/898
Is -147924825 != -443774473/3?
True
Which is greater: -3 or -46123692?
-3
Which is greater: -6/17818493 or 1?
1
Which is smaller: -556081 or -556035?
-556081
Which is smaller: -98/5 or -2209?
-2209
Is -2596325 at least as big as 0.08?
False
Which is smaller: -55/5829196 or 1?
-55/5829196
Which is smaller: 1 or 75/426176?
75/426176
Is 4022035 less than or equal to 4022036?
True
Which is smaller: 3424054 or 3424029?
3424029
Which is smaller: 1781 or -10223?
-10223
Is -17629 less than -17006?
True
Is 1/68842755 equal to -1?
False
Is -13748060 != -13748054?
True
Which is greater: -914/39331 or -1?
-914/39331
Is 1643/4792 less than -1?
False
Is 6248/5329 > 0?
True
Which is bigger: 159755 or -37?
159755
Is -24181 >= -15616?
False
Is -396797 at least as big as 0.1296?
False
Is 1 at least as big as 55/107411?
True
Is 84577 at least as big as 84473?
True
Which is bigger: -1/229 or 18063?
18063
Which is bigger: 0 or -1/262482504?
0
Which is greater: -15427 or -405?
-405
Is -1 > 98/36485?
False
Which is bigger: -1979 or -276867/140?
-276867/140
Which is bigger: 11100 or 2186829/197?
2186829/197
Is 1 at most -7733675?
False
Is 395231 at least 395254?
False
Which is smaller: 139042 or 139003?
139003
Does -822/692245 = 1?
False
Which is smaller: 178618816/19 or 9400989?
9400989
Which is smaller: 46 or 225411?
46
Which is smaller: -0.6 or -2/2095335?
-0.6
Which is bigger: 0.327293766 or -1/3?
0.327293766
Which is smaller: -130 or -94895/727?
-94895/727
Is 17/3744793 at most -1?
False
Is -27100.8 smaller than -9/4?
True
Which is smaller: 6963 or 7379?
6963
Is 11175 greater than 4682265/419?
True
Does 85 = -2.74826?
False
Is -20399933 < -20399933?
False
Is -10756019 equal to -10756067?
False
Are 3340737 and 16703691/5 unequal?
True
Which is bigger: 460 or -1748788?
460
Which is bigger: 1649646/19 or 86822?
1649646/19
Which is bigger: 3745 or 1422639/380?
3745
Is -3/4 not equal to 7239537?
True
Is 22609 bigger than 4182399/185?
True
Is -1 greater than 2/14971133?
False
Which is bigger: 2708 or -24915?
2708
Which is greater: -277/5687 or 0?
0
Is 1 < 101/1749969?
False
Is -188 != 8220?
True
Which is bigger: 129259082 or 129259078?
129259082
Which is bigger: -32617 or -33842?
-32617
Is 39/11 > 2/281?
True
Which is greater: 53620 or 54630?
54630
Is -9664/2027 <= -5?
False
Is 1 < 2/1614608921?
False
Do -18380448 and -18380447 have different values?
True
Are -2226427 and -2226423 equal?
False
Does -8 = 4959663?
False
Which is smaller: -1 or 1818/14183?
-1
Is -50216/371 less than -136?
False
Which is bigger: 0 or -19/52085?
0
Which is greater: 2 or -0.3319603?
2
Which is smaller: -85831 or -86491?
-86491
Is -1111052 less than -1110846?
True
Is 0 != -7665/17851?
True
Is 23800 at most as big as 25195?
True
Which is bigger: -1195/3 or 1201.2?
1201.2
Is 59273247 smaller than 59273252?
True
Which is bigger: -1600152 or -1600165?
-1600152
Which is greater: 37 or -136092?
37
Which is greater: -923218 or 1.4?
1.4
Is 0 bigger than -13317/9641?
True
Is 1 equal to -3/9625439?
False
Which is smaller: -2211355 or -2211330?
-2211355
Which is greater: 39411 or 39409?
39411
Is -101/8 at least -2/13?
False
Which is smaller: -7647.45 or -132/13?
-7647.45
Is 38.3 greater than -323/11?
True
Is -291258 at least -291253?
False
Which is greater: 54544 or 54505?
54544
Is 20405003 not equal to 20405001?
True
Is 2/207 less than -22296?
False
Is -1323231 less than -1323232?
False
Which is bigger: 122102 or 122085?
122102
Which is smaller: 87236 or 87181?
87181
Which is smaller: 13 or -492521?
-492521
Which is greater: 3728/348787 or 1?
1
Is -2305226 at most -2305252?
False
Is 1304575 <= 1304647?
True
Are -0.1 and 242958429 equal?
False
Which is smaller: 220469 or 220531?
220469
Which is greater: 2017 or 1875?
2017
Which is bigger: 404591320 or 404591321?
404591321
Is -344 smaller than 276476?
True
Which is smaller: 8523531 or 8523559?
8523531
Which is greater: -1 or -23/4989233?
-23/4989233
Is 39 at most -2259540?
False
Is 141156 <= 141038?
False
Which is greater: -31713 or -31934?
-31713
Which is smaller: 1 or 732/852745?
732/852745
Which is smaller: 32389999 or 32389988?
32389988
Which is bigger: 98945812 or 98945811?
98945812
Is -637795 bigger than -637849?
True
Is -96/15667561 bigger than -1?
True
Are 964620 and 6752332/7 non-equal?
True
Is 123097 less than or equal to 123134?
True
Is -23030 equal to -24728?
False
Is -21980/837 greater than or equal to -26?
False
Is -765166 < -765151?
True
Which is smaller: -12667056 or -12667061?
-12667061
Which is greater: 1503622 or 1503792?
1503792
Which is smaller: 59274593 or 59274571?
59274571
Is -3241/59869 greater than or equal to -1?
True
Which is bigger: 2/1713440687 or -1?
2/1713440687
Is 1 bigger than 42/5378785?
True
Which is smaller: 2274 or 1755871/772?
2274
Which is bigger: 1 or -615/25097?
1
Which is smaller: -1673/1198 or -2?
-2
Is 1 smaller than -720/4859?
False
Which is smaller: 77/264247 or 3.6?
77/264247
Is -30/14995021 smaller than 1?
True
Is 3353718 >= 3353718?
True
Which is bigger: -2224417360 or -2224417359?
-2224417359
Are 3759570/161 and 23352 unequal?
True
Which is smaller: 6576 or 52171?
6576
Is -2482 at least as big as -9304?
True
Does 643090056 = 643090056?
True
Is -19872 smaller than -797?
True
Is 14140449/7 at most 2020065?
True
Which is smaller: 1 or -497/906084?
-497/906084
Is 1901825 < 1901825?
False
Which is smaller: 1 or -7260/1385893?
-7260/1385893
Is -10827882 smaller than -10827883?
False
Which is greater: 248457118 or 248457117?
248457118
Are 0.1 and -2784858 non-equal?
True
Is -6 not equal to 569744?
True
Which is smaller: -24383/11 or -2217?
-2217
Which is smaller: 0 or 3/2380465?
0
Which is bigger: -33512 or -30909?
-30909
Which is smaller: 3166585 or 3166583?
3166583
Which is smaller: -1 or -194/59617?
-1
Are 1 and -1836/350879 non-equal?
True
Is 44936298 at least as big as 44936297?
True
Is 236155 at most as big as 236156?
True
Is -415 less than -61423/148?
False
Is -1 <= -2658/2899?
True
Is 151744 not equal to 154166?
True
Which is bigger: 9303/5557 or 1?
9303/5557
Is 40309091 smaller than 5?
False
Which is smaller: 1 or -45/25244522?
-45/25244522
Which is smaller: -283 or -81372/289?
-283
Which is bigger: -6.3 or 796955?
796955
Are -40988582 and -40988585 nonequal?
True
Which is bigger: -66260 or -66094?
-66094
Which is bigger: -8 or 1.53659064?
1.53659064
Which is smaller: -6 or -5864250?
-5864250
Do -2 and -70577/114 have different values?
True
Which is smaller: 286849 or 286841?
286841
Which is smaller: 1 or -94/1376161?
-94/1376161
Which is greater: -0.22 or -18316.83?
-0.22
Is -4824.6 != 12531?
True
Is 1416047 not equal to 1416045?
True
Which is smaller: 7/47480302 or 0?
0
Which is smaller: -1004597655 or -1004597654?
-1004597655
Which is bigger: 25740 or -1377?
25740
Which is smaller: 23202 or 1276183/55?
23202
Are 3552935/3 and -9/5 unequal?
True
Which is smaller: 59/78 or -0.57385?
-0.57385
Which is greater: 4 or 621372?
621372
Are 26571 and 24932 unequal?
True
Which is smaller: -2707103 or 0.2?
-2707103
Is 42.63325 at least as big as 3?
True
Which is bigger: 4926 or 615869/125?
615869/125
Which is smaller: -7157214 or -7157197?
-7157214
Do 98/941571 and 0 have different values?
True
Which is smaller: 5650 or 10890/7?
10890/7
Is 0.048 greater than -6653?
True
Which is bigger: 2/9015633 or 143?
143
Is 9959/13589 <= 1?
True
Is -138/2101753 not equal to -1?
True
Is 0 equal to -13/375932?
False
Which is bigger: -43.4176 or 4?
4
Which is greater: 1055329 or -98?
1055329
Are -823348 and -1646695/2 unequal?
True
Which is bigge
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*n, -2*b - 189 = -7*b - 2*n. Let z(u) = u**3 + 10*u**2 - 6*u - 52. What is the remainder when b is divided by z(-10)?
5
Suppose k = -0 - 1. Calculate the remainder when ((-100 - 0) + -2)/k is divided by (150/4)/(-15)*5616/(-520).
21
Let i(d) = -d**3 + 18*d**2 + 322*d - 36. Calculate the remainder when 226 is divided by i(29).
22
Let v(s) = -4287*s - 7229. Calculate the remainder when v(-5) is divided by 148.
146
Suppose -578 - 976 = 3*g. Calculate the remainder when (-4)/5*(-3 - g/(-4)) is divided by ((-1310)/(-30) - 8) + 2/6.
34
Suppose 3*y - 4*k = 24, y - k - 1 = 8. Suppose -f - 3*d = -y, 2*f - d = -0*f + 45. What is the remainder when 48 is divided by 10/(-15)*f/(-2)?
6
Calculate the remainder when (16 - (10532336/(-32))/29)*(-4)/(-6) is divided by 19.
15
Let r(z) = -z**2 - 10*z + 24. Let t be r(-12). Suppose q = -5*d + 137, t = -2*d - d + 4*q + 73. What is the remainder when d is divided by 5/(-20) - (-25)/4?
3
Let i(v) = 196*v + 864. Suppose 7*k - 15 = 2*k. Suppose 0 = a + 5, k*a = -5*n + 2*a + 135. Calculate the remainder when i(-4) is divided by n.
24
Let n(j) = -17*j**3 + 4*j**2 + 27*j + 19. Let c be n(-14). What is the remainder when c/1275 + (-4)/(-50) is divided by 5?
2
Let z(l) = -217*l + 460. Calculate the remainder when 3001 is divided by z(2).
11
Let f(d) = -13*d - 43. Calculate the remainder when f(-18) is divided by 71.
49
Let m = -19871 + 19995. Calculate the remainder when m is divided by 71.
53
Suppose -5*g - 104 = -124. Let q = -9 + 13. Suppose -q*a = a - 2*v - 35, -g*a + 4*v + 40 = 0. What is the remainder when 17 is divided by a?
2
Suppose 932*b + 3*p = 931*b + 27, -3*b = -5*p + 3. Let w(y) = 6*y**2 + y - 3. Calculate the remainder when w(-3) is divided by b.
3
Suppose -4*a + y + 6824 = 6049, -3*a + 562 = y. Let b = 5 - -59. Calculate the remainder when a is divided by b.
63
Suppose 0*r = 6*r - 5*r. Suppose r = 33*a + 8 - 272. What is the remainder when 28 is divided by a?
4
Let m(f) = 2897*f**2 + 8*f - 7. Let n be m(1). Suppose 9*z - 171 = n. Calculate the remainder when z is divided by 38.
37
Suppose -6 = -u + 3*l - 9, 0 = -2*u - 3*l + 30. What is the remainder when u is divided by (14/10)/(2/10)?
2
Let p(l) = 9*l - 142. Let k be ((-3)/2)/(12/(-224)). What is the remainder when p(k) is divided by 8?
6
Let x = -47 + 47. Suppose x = -5*y - 25, -15 - 5 = z + 5*y. Suppose -14 - 146 = -z*r. What is the remainder when 125 is divided by r?
29
Suppose 253*t = -73*t + 50856. What is the remainder when t is divided by 5?
1
Let m(z) = 110*z - 111*z + 4 - 10*z**2 + 37*z**2. Let i be m(5). Suppose 0 = -6*s - 188 + i. Calculate the remainder when s is divided by 14.
11
Let v(q) = 2*q**2 + 13*q + 11. Let y be v(-8). Suppose -10*p - 31 = -11*p - 5*x, y = 2*p + x. Let l = p - 10. What is the remainder when 33 is divided by l?
3
Let g(d) = -2*d**3 + 17*d**2 + 7*d + 21. Let p be g(9). Suppose 5*i - 8 = 7, 4*i - 288 = -p*c. What is the remainder when c is divided by 32?
28
Let n(l) be the third derivative of l**6/12 + l**5/30 - l**4/24 + 16*l**2 + 3. Let c = 33 - 12. What is the remainder when c is divided by n(1)?
10
Let v be (2 - 4)*-1*14/(-4). Let n(l) = -7*l - 17. Let b be n(v). Let a = b + 9. What is the remainder when a is divided by 15?
11
Calculate the remainder when 811800/1600 + ((-22)/16 - -1) is divided by 156.
39
Let r = 43 - 35. Let m be (r/(-28))/(-1) - 172/14. Calculate the remainder when 6 is divided by (7/(-21) - (-2)/m)*-12.
0
Let o(b) = -89*b + 135. Calculate the remainder when 438 is divided by o(1).
24
Calculate the remainder when 262 is divided by (16/10)/(444/3330).
10
Let c = -212 - -216. Suppose -192 = -c*v + 472. Calculate the remainder when v is divided by 57.
52
Suppose -4*n = 2*k - 80 - 28, 36*k - 1874 = -2*n. Calculate the remainder when 1505 is divided by k.
49
Let s = 2434 - 2320. What is the remainder when s is divided by 58?
56
Calculate the remainder when (8326/184 - 44) + (803/4 - 0) is divided by 42.
34
Let d(h) = 3*h**2 - 8*h - 23. Let x(l) = l**3 - 5*l**2 + 12. Let p be x(4). Calculate the remainder when d(p) is divided by 21.
15
Suppose -z + 30*q - 29*q = -169, -2*z = 9*q - 338. What is the remainder when 4053 is divided by z?
166
Suppose -2*m + 2*j = 2*m + 16, -5*m + 5*j - 30 = 0. Calculate the remainder when 38 is divided by (-1 + m/(-4))*-12 - -1.
3
Let v be (96/18 - 6) + (-2)/(-3). Suppose v*x - x + 4*g + 18 = 0, -3*x = -2*g - 24. Calculate the remainder when 3 - 3*1/x*0 is divided by 3.
0
Let p = -2416 + 3206. Calculate the remainder when p is divided by 8.
6
Suppose -3*i - 5*j + 47 = 0, -2*i + 0*j + 25 = -3*j. Suppose -6*n - i + 56 = 0. Suppose 38 = t - n. Calculate the remainder when t is divided by 7.
3
Let z(h) = -183*h - 137. Let g be z(-3). Let b = g - 337. What is the remainder when b is divided by 19?
18
Suppose -609 = 57*t - 2091. Suppose -3*l = -2*f + 206, 2*f + 4*l = -0*l + 178. What is the remainder when f is divided by t?
19
Let z(y) = -23*y - y + 9 - y**2 - 14 - 50. Let j be z(-20). Suppose j*q + 35 = 26*q. What is the remainder when q is divided by 18?
17
Suppose 3*o - 236 = -o. Let a be 25434/216 + (-3)/4. Let d = 137 - a. Calculate the remainder when o is divided by d.
19
Let b(m) = 3*m**2 + 290*m - 79. Calculate the remainder when 1446 is divided by b(-97).
6
Suppose 3*u - 3*d - 1419 = 0, -u + 722 = 5*d + 249. What is the remainder when u is divided by 16?
9
Suppose 0 = 89*u - 81*u + 8448. Calculate the remainder when (-21)/((-3)/6 - 1) is divided by (u/(-330))/((-4)/(-10)).
6
Suppose -11*x + 2216 - 9564 = 0. Let m = -655 - x. Calculate the remainder when 116 is divided by m.
12
Suppose -11*l - 33780 = -77105 - 58172. Calculate the remainder when l is divided by 16.
11
Suppose -161*p + 7 = -160*p, -5*l = 4*p - 6323. Calculate the remainder when l is divided by 193.
101
Let b(i) = -5592*i + 1457. What is the remainder when b(-4) is divided by 74?
71
Let h(o) = -o**3 - 40*o**2 + 2*o + 17. Calculate the remainder when 1655 is divided by h(0).
6
Let k(u) = -8*u + 76. Let x be 5/25 - (-358)/10. Let q be 8/(-12) + (-3)/(x/(-80)). What is the remainder when 54 is divided by k(q)?
26
Let z(l) = 15 - 4*l**3 + 3*l**3 + 2*l - 2*l**2 - 13. Let x be z(-3). Suppose -x*r - 7 = -457. Calculate the remainder when r is divided by 23.
21
Let h(d) = 75*d + 697. What is the remainder when 301 is divided by h(-9)?
15
Let n(b) = -82*b + 1952. Calculate the remainder when 1695 is divided by n(23).
45
Suppose d = 2*d + 4*o - 22, 12 = -4*d + 4*o. Suppose 0 = d*w + q - 3*q - 4, 0 = 5*w - q - 30. Calculate the remainder when (2 - (40 + 3))/(-1) is divided by w.
6
Let f = -20155 - -20186. Calculate the remainder when 41 is divided by f.
10
What is the remainder when 547 is divided by ((-2)/(20/(-6)))/(4/(19 - -181))?
7
Let r(g) = 2*g**3 - 13*g**2 + 10*g - 14. Let b be r(6). Suppose -2*s = b*s - 1992. What is the remainder when s is divided by 43?
37
Let c = -14798 - -15503. What is the remainder when c is divided by 31?
23
Suppose 6*h - 131493 = -153*h. Calculate the remainder when h is divided by 16.
11
Let y = 4725 + -4636. Calculate the remainder when 104 is divided by y.
15
Let j = 130 + -70. Let t = -47 - 104. Let a = t + 167. Calculate the remainder when j is divided by a.
12
Let i = -27 + 33. What is the remainder when 2614 is divided by i?
4
Suppose p - 6*p - 4828 = -4*f, 2414 = 2*f - 3*p. What is the remainder when f is divided by 119?
17
Let f(p) = 4612*p - 9095. Suppose 92 + 233 = 5*u. What is the remainder when f(2) is divided by (-1 - 7/(-5))*u?
25
Let y(w) = 337*w - 5600. Calculate the remainder when y(41) is divided by 30.
27
Let i(h) = 3*h - 19. Let m be i(9). Suppose 0 = -m*q + 6*q + 2104. What is the remainder when q is divided by 13?
12
Suppose 0 = -41*u + 15270 + 4410. What is the remainder when u is divided by 37?
36
Let p = 4459 - 4377. What is the remainder when 90 is divided by p?
8
Let l = -1106 - -1115. Calculate the remainder when (-106)/(-8) - (-6)/8 is divided by l.
5
Let u = 95 - 79. Suppose 11*r = u*r - 60. Calculate the remainder when 44 is divided by r.
8
What is the remainder when 1204 is divided by ((-70)/45)/7 - 6/((-216)/4796)?
7
Let c(o) = -o**2 - 103*o + 148. Calculate the remainder when c(-40) is divided by 14.
8
Let r(m) = -m**3 + 12*m**2 - 20*m - 24. Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of j**6/20 - 4*j**3 - 35*j**2. What is the derivative of x(z) wrt z?
18*z**2
Differentiate -10*r**2 + 19 - r**2 - 8*r**2 with respect to r.
-38*r
Let f(o) be the first derivative of 3 + 0*o**4 + 3/2*o**2 + 0*o**5 + 0*o**3 + 0*o + 2/3*o**6. Find the second derivative of f(a) wrt a.
80*a**3
Suppose -3 = -4*t - 155. Let p be t/(-14) - (-4)/14. Find the third derivative of -m**4 + m**p - m**2 - m**3 wrt m.
-24*m
Suppose 0*h + 3*h = 0. Let n(l) be the second derivative of 3/2*l**2 - 1/3*l**3 + l + h. Differentiate n(c) wrt c.
-2
Let h(a) = 6*a**5 + 2*a**4 - 3*a**2 + 2. Let j(z) = 12*z**5 + 5*z**4 - 6*z**2 + 5. Let q(p) = 5*h(p) - 2*j(p). Find the third derivative of q(f) wrt f.
360*f**2
Let s(j) be the second derivative of j**6/10 + 11*j**4/12 + 9*j. Find the third derivative of s(c) wrt c.
72*c
Let o(c) = -c**3 + 7*c**2 - 6*c + 2. Let b be o(6). What is the third derivative of 6*k**2 - k**6 + 3*k**b - 6*k**2 wrt k?
-120*k**3
What is the third derivative of 29 + 0*d**4 - 7*d**2 - 3*d**4 - 29 wrt d?
-72*d
Let q(g) = -g + 6. Let h be q(4). Suppose -7 = -4*m + 2*f + 5, 3*m = 3*f + 3. Find the second derivative of -2*y - y**5 + 3*y - h*y**m - 2*y wrt y.
-60*y**3
Suppose z + 5*o = -0*o + 15, -2*z + 2 = -4*o. Find the second derivative of 0*j**3 + 0*j**z + 2*j - 2*j**5 + 0*j**3 wrt j.
-40*j**3
Let n be 3 - (-1 + 6/3). Suppose 2 - 5 = -h. Differentiate m - 2*m**2 + 3*m**n - h - m with respect to m.
2*m
Let a(p) be the first derivative of p**4/3 + p**2 - 2*p - 4. Let j(o) be the first derivative of a(o). Differentiate j(b) wrt b.
8*b
Suppose -10 = -3*y - 6*p + 4*p, y = 3*p + 18. Suppose -2*m - y + 16 = 0. Find the third derivative of -12 + 12 + 4*v**m + 3*v**2 - v**2 wrt v.
240*v**2
Let i(q) = -q**3 - 6*q**2 + 8*q + 9. Suppose -t - 4 = 3. Let l be i(t). Find the second derivative of l*j**2 + 3*j - 7 + 7 wrt j.
4
Suppose -4*u - 10 = i, -18 - 2 = 5*u. Let h = i + -4. Find the third derivative of -3*p**3 + 2*p**h - 35*p + 35*p wrt p.
-18
Let s(h) = -6*h**5 - 24*h**2 - 15*h + 15. Let w(i) = i**5 + i**2 + i - 1. Let c(k) = -s(k) - 15*w(k). Find the third derivative of c(p) wrt p.
-540*p**2
Let x(j) be the second derivative of -j**8/560 - j**4/24 - j**3/2 + 3*j. Let i(w) be the second derivative of x(w). What is the derivative of i(h) wrt h?
-12*h**3
Let g(o) be the first derivative of 0*o - 3 + 0*o**3 + 9/4*o**4 + 3/2*o**2. What is the second derivative of g(l) wrt l?
54*l
What is the third derivative of 16*o**5 - 2*o**2 - 15*o**5 + 5*o**2 wrt o?
60*o**2
Suppose -3*j = -5*r + 6, 3*j - 3*r = -4*r + 12. Let a be j - (-1 + 2)*1. What is the derivative of 0 + 1 + 0*u**a - u**2 wrt u?
-2*u
Let q(k) be the first derivative of 5/2*k**2 - 3 + 0*k + 0*k**3 + 1/2*k**4. What is the second derivative of q(l) wrt l?
12*l
Let f = 5 + -5. What is the first derivative of f - 4 + 3 - 2*o + 0 wrt o?
-2
Let b(l) be the second derivative of -2*l**6/15 - 2*l**2 + 4*l. What is the first derivative of b(a) wrt a?
-16*a**3
Let n(v) be the first derivative of -37*v**4/4 + 10*v**2 - 16. What is the second derivative of n(j) wrt j?
-222*j
Let o(z) = -34*z - 3. Let l(u) = -17*u - 2. Let v(f) = -5*l(f) + 3*o(f). Differentiate v(h) wrt h.
-17
Suppose 3 = -5*l - 17. Let t(d) = d**3 - d**2 + d - 1. Let m(c) = -7*c**3 + 4*c**2 - 4*c + 2. Let p(z) = l*t(z) - m(z). What is the derivative of p(j) wrt j?
9*j**2
Let n(z) be the second derivative of z**6/6 + z**3 - 4*z. Find the second derivative of n(t) wrt t.
60*t**2
What is the derivative of -15 - 2*s**4 + 9 + s**4 wrt s?
-4*s**3
Let v(i) = -23*i**3 + 4*i**2 - 7. Let l(t) = 8*t**3 - t**2 + 2. Let r(m) = -7*l(m) - 2*v(m). Find the third derivative of r(c) wrt c.
-60
What is the second derivative of -2*u**4 + 0 - 4*u**4 + u + 0 wrt u?
-72*u**2
Let k(l) = 15*l**4 - 11*l**3 + 11*l**2 - 5. Let h(g) = 4*g**4 - 3*g**3 + 3*g**2 - 1. Let s(z) = -22*h(z) + 6*k(z). Find the first derivative of s(n) wrt n.
8*n**3
Let w(y) = 4*y**4 - 6*y**2 - 5*y + 5. Let i(s) = -4*s**4 + 7*s**2 + 4*s - 4. Let q(x) = -5*i(x) - 4*w(x). What is the third derivative of q(d) wrt d?
96*d
Let f(v) be the second derivative of 5*v**9/504 + v**5/20 - 3*v**2 + 4*v. Let l(r) be the first derivative of f(r). Find the third derivative of l(b) wrt b.
600*b**3
Let j(h) be the second derivative of 0*h**5 - 2*h + 0*h**4 - 1/15*h**6 - 5/6*h**3 + 0 + 0*h**2. Find the second derivative of j(c) wrt c.
-24*c**2
Let u be (24/36)/((-2)/(-6)). Let f(m) = -1. Let w(z) = 6*z**3 - 6*z**2 - 2. Let c(a) = u*f(a) - w(a). Find the third derivative of c(x) wrt x.
-36
Let c = 8 - 5. Let z = 18 + -11. Differentiate -2 - 2*s**c + 7 - z wrt s.
-6*s**2
Let t(l) be the first derivative of -l**4/4 + l - 1. Find the first derivative of t(p) wrt p.
-3*p**2
Let q(o) be the second derivative of o**6/6 - o**4/6 - 2*o. What is the third derivative of q(j) wrt j?
120*j
Let w = -4 - -3. Let j = w - -3. Find the third derivative of -3*y**2 - j*y**2 - 2*y**5 + 4*y**2 wrt y.
-120*y**2
Suppose -6*l = -3*l - 51. What is the second derivative of l - 4*y**5 - 17 + y wrt y?
-80*y**3
Suppose 8 = -3*s + 2, 2*g - s = 8. Differentiate 6*w**g + w**3 - 1 - 6 wrt w.
21*w**2
Let w = -11 + 11. Let h(o) be the first derivative of -2/3*o**3 + 0*o**4 + 0*o**5 - 1/3*o**6 + 0*o + w*o**2 - 1. What is the third derivative of h(z) wrt z?
-120*z**2
Let z = 10 + -7. What is the third derivative of -v**z - 3*v**2 + v**3 - 2*v**4 + 0*v**4 wrt v?
-48*v
Let m = -5 + 5. Let n be 4 + 3/((-6)/4). Find the first derivative of -o**2 + m*o**n - 1 + 3 wrt o.
-2*o
Suppose 3*a = 2*i - 18, 4*i = 2*a - 0*i + 4. Let g = a - -14. What is the derivative of -f - 3*f**2 - g + 4 + f wrt f?
-6*f
Let l(q) = q**2 - 3*q - 6. Let r be l(5). What is the second derivative of -3*k + 6*k**4 + r*k**5 - 6*k**4 wrt k?
80*k**3
What is the second derivative of -f - f**4 + 0*f**2 + 0*f**2 wrt f?
-12*f**2
Let p(o) be the second derivative of 4*o**6/15 + 13*o**3/3 + 22*o. What is the second derivative of p(x) wrt x?
96*x**2
Let d be ((-3)/(-2))/((-21)/(-56)). Find the first derivative of d*j**2 - 1 + 6 - 3*j**2 wrt j.
2*j
Let s(n) = -2*n + 18. Let w be s(8). Find the third derivative of w*k**2 + k**4 + 2*k**4 - k**4 + 4*k**4 wrt k.
144*k
Suppose y - 2 - 8 = 0. Suppose y = 2*t + 2. What is the third derivative of -j**t + 2*j**2 + 0*j + 0*j wrt j?
-24*j
Let t(d) = -12*d**3 - 4*d**2 - 4*d + 10. Let c(v) = -11*v**3 - 3*v**2 - 3*v + 10. Let k(f) = 4*c(f) - 3*t(f). What is the first derivative of k(a) wrt a?
-24*a**2
Let r be (-3)/(-2)*(-16)/12. Let w be (-65)/(-25) - r/5. Differentiate d**w - 1 + 1 + 4 - 6 with respect to d.
3*d**2
Let v be 1 - (-2 - (0 + -1)). What is the first derivative of 3*q**2 - v - 3*q**2 + q**2 wrt q?
2*q
Suppose h - 5*h = -80. Find the second derivative of -h*k**5 + 27*k**5 + k - 13*k**5 wrt k.
-120*k**3
What is the derivative of 41*i - 19 + 1 - 47*i wrt i?
-6
Let u(s) be the second derivative of 3*s**5/10 + 3*s**2 - 12*s. Find the first derivative of u(y) wrt y.
18*y**2
Let h = -1 + 1. Suppose -v + 1 + h = 0. Differentiate -3*i**4 + 6*i**4 - 2*i**4 + v with respect to i.
4*i**3
Suppose -h - 2*h = -9. Differentiate 0*w**3 - h*w**3 - 2 - 1 with respect to w.
-9*w**2
Let l(j) = -j**3 - 11. Let r = 8 + 0. Let o(i) = 4. Let m(v) = r*o(v) + 3*l(v). Differentiate m(c) with respect to c.
-9*c**2
Let l(p) be the second derivative of 1/8*p**4 - 2*p + p**2 - 1/3*p**3 + 0. Let v(t) be the first derivative of l(t). Differentiate v(b) wrt b.
3
Let t(o) = 8*o**2 - 19*o - 3. Let h(x) = 8*x**2 - 18*x - 2. Let m(g) = -3*h(g) + 2*t(g). What is the second derivative of m(a) wrt a?
-16
Let o(y) = -10 + y + y**3 + 3*y**2 + 3*y + 4*y**2 - 6*y. Let n be o(-7). Find the second derivative of -2*x + 4*x - 3*x**2 + n*x**2 wrt x.
2
Let m(p) be the first derivative of 2*p**2 - 6*p - 2. Let o(v) = 7*v - 11. Let t(b) = -5*m(b) + 3*o(b). Find the first derivative of t(g) wrt g.
1
Let t(q) be the third derivative of q**11/7920 + q**7/360 - q**4/4 - 2*q**2. Let g(r) be the second derivative of t(r). Find the third derivative of g(j) wrt j.
840*j**3
Let l(k) be the second derivative of 3*k**6/10 - k**3/2 - 11*k. What is the second derivative of l(o) wrt o?
108*o**2
Let z(w) be the first derivative of w**5 - 2*w**2 - 1. Find the second derivative of z(o) wrt o.
60*o**2
Let s = 10 - 8. What
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the units digit of m?
6
Let u = -126 - -212. What is the units digit of u?
6
Suppose -a - a = 34. What is the tens digit of a/(-1) + (3 - 1)?
1
Let a(h) = h**2 - h. Let s be a(3). What is the tens digit of 1/s + (-1938)/(-36)?
5
Let x(k) = 3*k**3 - 8*k**2 + 2*k - 1. Suppose 4*r + 4 = -4. Let f(t) = 10*t**3 - 24*t**2 + 7*t - 4. Let h(c) = r*f(c) + 7*x(c). What is the units digit of h(8)?
1
What is the units digit of ((-12)/9)/((-4)/9)?
3
Let r(a) = -10*a**2 - 12*a + 42. Let v(y) = -7*y**2 - 8*y + 28. Let m(g) = -5*r(g) + 7*v(g). What is the units digit of m(-10)?
6
Suppose 0 = -5*h + n + 1062, 6*h - 5*n = h + 1050. What is the units digit of h?
3
Let p(z) = -5 + 3 - 2 - 2 - z**2 - 7*z. What is the units digit of p(-4)?
6
Let x = 12 + -4. Suppose -x - 9 = -t. What is the tens digit of t?
1
Suppose 8 = -3*m - 13. Let p = -4 - m. What is the units digit of p?
3
Let f(q) = q**3 + 6*q**2 - q + 1. What is the units digit of f(-3)?
1
Let b be 0/(-2 - -2 - -2). Suppose 36 = -b*c + 4*c. What is the units digit of c?
9
Suppose -156 = -4*w + 84. What is the tens digit of w?
6
Suppose 3*t - 21 + 6 = 0. Suppose t*m - m = 96. Suppose 2*r = s - 11, 2*s + 2*s - m = -2*r. What is the units digit of s?
7
Suppose -3*y - 128 = -5*y. What is the tens digit of y?
6
Suppose -4*g = -2*q + 8 - 28, -23 = -g + 5*q. Let y(c) = -c**3 + 3*c**2 + 3*c + 4. Let n be y(g). What is the units digit of (-1 + -1)/((-2)/n)?
3
Let c = -5 - -9. Suppose 0 = c*w - 2*f - 98, -56 - 12 = -4*w - 4*f. Let o = w - 10. What is the tens digit of o?
1
Suppose l = -45 + 41. Let k = -13 + 21. Let x = k + l. What is the units digit of x?
4
Suppose -a + 2*t + 14 = 0, -a - 4*a - t + 48 = 0. Suppose -a = -k - 2. Let n = k - 2. What is the units digit of n?
6
Let p be ((-24)/(-4))/(4/(-6)). What is the units digit of -1 + -3*(1 + p)?
3
Let f(v) = v. Let a(g) = -8*g - 2. Let n(w) = 2*a(w) + 20*f(w). What is the units digit of n(3)?
8
Let c = -25 + 64. Suppose -i = -1 - 5. Suppose 0 = 3*x - i*x + c. What is the units digit of x?
3
Let t(w) = -w**3 + 12*w**2 + 10*w - 4. What is the tens digit of t(7)?
1
Suppose 3*k + 6 = k. Let h = 16 + k. What is the units digit of h?
3
Suppose -t - 2 = 7. Let g(h) = h - 15. Let i be g(-5). Let x = t - i. What is the units digit of x?
1
Let b be 2*9/(-6) + 9. Suppose 29 = g + b. What is the units digit of g?
3
Let q = 7 - 0. Suppose -4*c + q*c = 93. What is the tens digit of c?
3
Let d(w) = -w**3 + 8*w**2 + 5*w. Let c be d(7). Suppose -c = -2*f - 2*f. What is the units digit of f?
1
Suppose -2 = 5*b - 7. Suppose -5*f - b = 4*d, -3*f - 2*d = -4*f + 11. What is the units digit of f?
3
Let d = -6 - -10. Suppose 0 = 2*o - 8, -3*i + 2*o + d = 3*o. Suppose m + 4*c - 10 = -i*c, -3*m + 56 = -c. What is the units digit of m?
8
Let p(q) = -9*q - 70. What is the hundreds digit of p(-21)?
1
Let o be (-16 + 1)/(6/18). Let h be o/(-4) + (-6)/24. Suppose -2*v + h = v + 2*k, -4*k - 5 = -3*v. What is the units digit of v?
3
Let s(t) = t**2 + 2*t - 4. Let d be s(-4). Suppose h + 0*p - p - 9 = 0, d*h - 1 = -3*p. Suppose 4*v = h, -2*l - 2*v + 4 + 0 = 0. What is the units digit of l?
1
Let f be (-6)/(-21) + 4/(-14). Suppose -r + 3 = -f. What is the units digit of r?
3
Let s = 1 + 44. Suppose -4*i + 47 = 3*g, 6*i - g - s = 3*i. What is the units digit of i?
4
Let r(z) = -z**3 - 3*z**2 - z - 1. Let s be r(-5). Let t = s - 28. What is the tens digit of t?
2
Let l(b) = b**2 - 5*b - 20. What is the units digit of l(8)?
4
Suppose 266 = 4*i + 2*g + g, -4*g - 57 = -i. What is the tens digit of i?
6
Let q = 58 - -54. What is the units digit of q?
2
Suppose 0*a - 3*a - 23 = -w, 3*a - 45 = -3*w. What is the tens digit of w?
1
Suppose -2*x + 16 = 2*x. Suppose -105 = -w - x*w. What is the units digit of w?
1
Let r be (-3)/9*-3*3. Let k be (16 - -1) + (1 - r). Suppose 10 = 2*x - 2*s - s, 3*x = s + k. What is the units digit of x?
5
Let v = 15 - 12. Suppose -i = v*i - 44. What is the units digit of i?
1
Let b(a) = -4*a + 1. Let t be (-18)/(-4)*(-4)/(-3). Suppose 4*q - 2 + t = 0. What is the units digit of b(q)?
5
What is the tens digit of ((-4)/6)/((-18)/1323)?
4
Let i = -14 + 24. What is the units digit of ((-12)/i)/(4/(-10))?
3
Suppose 5*r - 3*f = -0*f - 3, -4*r - 3*f + 3 = 0. Let x be -6*(r + (-4)/6). Suppose -c + 1 = -2*m, -16 = -x*c + 3*m - 2. What is the units digit of c?
5
Suppose -6 = -s + 4*y - 0, -3*y = -3*s + 9. Let i = 1 + s. Suppose -3*o + 50 = 5*n, -o = -i*n - 0*o + 16. What is the units digit of n?
7
Let r(f) = -6 - 2*f - 3*f + 3 + 4*f. What is the units digit of r(-4)?
1
Suppose -2*c = -3*h + 19, -4*c - 16 = 3*h - 5. Suppose 4*m = -0*b + b - 22, -2*m = -h*b + 86. What is the units digit of b?
0
Let m = 0 + -2. Suppose -c + 23 = 2*z - 4*c, -3*z - c = -7. What is the units digit of m/(-2)*(z - -1)?
5
Let a be (5 - 2)/6*6. Suppose -92 = -m - a*m. Suppose 4*w = 9 + m. What is the units digit of w?
8
Suppose 2*j + 3*o = 6*j + 14, -5*o = -3*j - 16. Suppose -3*c - 12 = -4*a, -4*c + 4*a - 12 = -9*c. What is the units digit of (4 - c) + 1*j?
2
Let n(z) = -z**3 - 10*z**2 - 6*z. What is the tens digit of n(-11)?
8
Let y be (28/35)/((-1)/(-25)). Let a = 82 + y. What is the units digit of (1/(-2))/((-3)/a)?
7
Let p(y) be the second derivative of -y**3/6 + 2*y**2 - 3*y. What is the units digit of p(0)?
4
Let l be 21/6 - (-4)/(-8). Suppose 3*w = 4*w - l. What is the units digit of w?
3
Let c = 553 + -221. What is the units digit of c?
2
Let q be (-4)/14 - 92/(-28). Suppose -2*k = q*k. Suppose -3*i + 9 + 3 = k. What is the units digit of i?
4
Let h be 3 + (93 - 6/3). Suppose -h = -4*f - 2. What is the tens digit of f?
2
Let s = 7 - -41. What is the tens digit of s?
4
Suppose 4*u = u + 9. What is the units digit of 13/1*u/3?
3
Let u(c) = c + 7. Let r(l) = -l**2 + 5*l - 5. Let z be r(5). Let j be u(z). Suppose 5*b = 5*t - 40, -t = -b + j*b. What is the units digit of t?
4
Suppose -11*d + 10*d = -55. What is the units digit of d?
5
Let c(q) = -2*q**2 - 2*q - 5. Let v(s) = -3*s**2 - 3*s - 7. Let y(u) = -7*c(u) + 5*v(u). Let b be y(0). Let l = b - -5. What is the units digit of l?
5
Let s(g) = 35*g**2 - 1. What is the units digit of s(1)?
4
Suppose -4*z = 3*l - 556, z + l - 417 = -2*z. What is the hundreds digit of z?
1
Let l = -87 + 146. What is the tens digit of l?
5
Suppose -5*y = -3*y. Suppose 3*w + 5 + 7 = y. Let i = -2 - w. What is the units digit of i?
2
Suppose -3*x + 188 = x. What is the tens digit of x?
4
Let m be (-3 - 1)*11/(-2). Suppose 3*z - m = z. What is the tens digit of z?
1
What is the tens digit of -6*3/3*-4?
2
Let h(k) = -k**2 + k - 1. Let v(j) = 4*j**2 + 12*j + 12. Let q(a) = -3*h(a) - v(a). What is the tens digit of q(-13)?
1
Let m(s) = -6*s + 4. Let r be m(-7). What is the units digit of r/6 + 4/12?
8
Suppose -2*u + 140 = 2*u. What is the tens digit of u?
3
Suppose 5*x = 3*j - 19 - 3, j - 12 = -3*x. What is the units digit of j?
9
Suppose -20 = 4*k, 3*x - 5*k = -0*x + 28. Let t be (-2)/(39/45 - x). Let g = -8 + t. What is the units digit of g?
7
Suppose -v = -5*i - 3, 0*i + 2*i = 0. Suppose -v*m - 158 = -5*g, 2*g - 3*m - 96 = -g. What is the tens digit of g?
3
Let b = -2 - -7. Suppose -6 = -b*i - 2*f, 2*f - 3 = 3. Suppose i*u - 12 = -2*u. What is the units digit of u?
6
Suppose 3*n - 5*q + 367 = 0, 0 = -n + 2*q + 2*q - 127. What is the tens digit of (-2)/9 - n/9?
1
Let c(y) = -11*y - 44. Let u(b) = 5*b + 22. Let w(o) = 6*c(o) + 13*u(o). What is the tens digit of w(0)?
2
Suppose 192 = 3*c + 3. What is the units digit of c?
3
Suppose 4*s + 47 - 207 = 0. What is the tens digit of s?
4
Suppose 4*g + 4*j - 62 = 2*g, -5*g - 2*j + 115 = 0. What is the units digit of g/14*(-4)/(-2)?
3
Suppose 0 = -0*x + 5*x - 5*h - 795, 5*x - 801 = -h. What is the hundreds digit of x?
1
Let t be 2/((-3)/(-12)*2). Suppose -32 = -4*a - t. Let k(o) = 2*o. What is the tens digit of k(a)?
1
Let z be 1 - -1 - (-7 + 5). Suppose -z*u + 2*b + 2 = -8, 3*u - 7 = b. What is the units digit of u?
2
Suppose -5*g = -5*t + 65, 7*g + 3*t = 3*g - 31. Let f = 17 - g. What is the units digit of f?
7
Let i(r) be the second derivative of r**4/2 + r**3/6 + 4*r. What is the units digit of i(-2)?
2
Suppose -r + 288 = 5*r. What is the units digit of r?
8
Let q = 73 + -114. Let b = -21 - q. What is the tens digit of b?
2
Let l(
|
{
"pile_set_name": "DM Mathematics"
}
|
9.
15
4 divided by -40
-1/10
Divide 135 by -45.
-3
What is 15 divided by -4?
-15/4
Divide -22 by -34.
11/17
-294 divided by 3
-98
-370 divided by 5
-74
Calculate 1 divided by -35.
-1/35
-812 divided by 28
-29
-66 divided by 55
-6/5
What is 3174 divided by 6?
529
What is -6530 divided by -6?
3265/3
Calculate 1051 divided by -4.
-1051/4
What is -4 divided by -5000?
1/1250
Calculate 5 divided by 128.
5/128
Divide 0 by -117.
0
Calculate 30 divided by -48.
-5/8
10794 divided by 2
5397
3 divided by -4
-3/4
33 divided by -33
-1
Calculate 112 divided by -4.
-28
Divide 3 by 1011.
1/337
What is 1931 divided by 2?
1931/2
-62 divided by 26
-31/13
Calculate 0 divided by 40.
0
What is 2635 divided by -85?
-31
Calculate 12 divided by -3.
-4
What is -80 divided by -16?
5
What is -68 divided by 47?
-68/47
Divide 350 by -23.
-350/23
Divide -38 by 2.
-19
Divide 8 by 132.
2/33
Calculate -7695 divided by 513.
-15
Divide 28 by -9.
-28/9
-858 divided by 5
-858/5
Divide 4233 by -3.
-1411
Calculate -860 divided by -430.
2
Divide 0 by 7.
0
Divide 4104 by 38.
108
Divide 137 by 4.
137/4
What is 35 divided by -10?
-7/2
What is -147 divided by -21?
7
Divide 1065 by 5.
213
3980 divided by -5
-796
Divide -15000 by -3.
5000
Calculate -13280 divided by -32.
415
376 divided by 47
8
Calculate 0 divided by 532.
0
Calculate -1248 divided by 312.
-4
Divide 524 by -4.
-131
Calculate 972 divided by 162.
6
Divide -47764 by -4.
11941
Calculate -2610 divided by 90.
-29
Divide 31777 by -6.
-31777/6
11 divided by -141
-11/141
What is 3195 divided by -639?
-5
Divide -2299 by -209.
11
39 divided by -122
-39/122
Divide 498 by -2.
-249
Calculate -25 divided by -1.
25
Divide -16 by 11.
-16/11
Calculate -954 divided by 477.
-2
What is 82 divided by -2?
-41
2672 divided by 3
2672/3
Calculate -73458 divided by 3.
-24486
-45 divided by 15
-3
What is -13444 divided by -2?
6722
Divide -76 by 4.
-19
Calculate 0 divided by 49.
0
Calculate 10328 divided by 4.
2582
What is -39 divided by 3?
-13
Calculate -7370 divided by -110.
67
Divide -20 by 4.
-5
Divide 19095 by -3.
-6365
Divide 4 by -21.
-4/21
What is -142 divided by 36?
-71/18
What is -20794 divided by 37?
-562
27 divided by 36
3/4
Calculate -23550 divided by -6.
3925
Divide 11280 by 120.
94
Divide 16092 by 4.
4023
Calculate 271 divided by -9.
-271/9
Divide 4928 by -4.
-1232
Divide -1280 by 320.
-4
Calculate -1240 divided by -4.
310
56 divided by 14
4
Divide -57 by 38.
-3/2
What is -10612 divided by -4?
2653
What is -9476 divided by -206?
46
What is -643 divided by 6?
-643/6
Divide -364 by -26.
14
-11785 divided by -5
2357
Calculate 138 divided by 3.
46
What is 11 divided by 3291?
11/3291
Divide 6 by 186.
1/31
129 divided by 43
3
Calculate -7262 divided by -2.
3631
Divide 160 by -40.
-4
Divide 1105 by 221.
5
What is -255 divided by 5?
-51
Divide 15 by 12.
5/4
Calculate -27460 divided by -4.
6865
Calculate 180 divided by 6.
30
11016 divided by 5508
2
What is -180 divided by 1?
-180
798 divided by -6
-133
What is 352 divided by -352?
-1
What is 231 divided by -77?
-3
Divide 71 by 9.
71/9
Divide 9 by -3.
-3
What is -753 divided by 1?
-753
Divide 34 by 2.
17
What is 942 divided by 471?
2
What is 3100 divided by -20?
-155
What is -212 divided by -5?
212/5
Calculate 83 divided by -52.
-83/52
479 divided by -3
-479/3
Divide -2000 by -4.
500
1 divided by -1333
-1/1333
-1780 divided by 11
-1780/11
What is 7719 divided by -3?
-2573
Divide -7 by -1733.
7/1733
Calculate 5 divided by 757.
5/757
What is -30784 divided by 4?
-7696
Divide 4 by 215.
4/215
What is 7413 divided by -1?
-7413
Divide -48 by -16.
3
Calculate -133 divided by 1.
-133
Divide -234 by 2.
-117
Calculate -3 divided by 118.
-3/118
25 divided by -192
-25/192
Divide -961 by -1.
961
What is 9540 divided by -15?
-636
-32 divided by -44
8/11
Calculate 1 divided by -1298.
-1/1298
769 divided by 17
769/17
What is -7 divided by -7?
1
Divide 14046 by -6.
-2341
Divide -20 by 87.
-20/87
Calculate 130 divided by 26.
5
Divide -3290 by 1.
-3290
Divide -768 by 2.
-384
Calculate -100 divided by 8.
-25/2
Divide -29 by 104.
-29/104
Calculate 5 divided by 231.
5/231
Calculate 5 divided by 6.
5/6
-9 divided by -359
9/359
Calculate 290 divided by 25.
58/5
What is 7 divided by 12?
7/12
Calculate 5 divided by 154.
5/154
15600 divided by 6
2600
What is 71 divided by 10?
71/10
Divide -29548 by -2.
14774
What is 0 divided by 227?
0
347 divided by -1
-347
Calculate 8690 divided by 158.
55
-45 divided by 5
-9
Divide 2 by 21.
2/21
Divide -2387 by -2387.
1
What is -97 divided by 3?
-97/3
What is 0 divided by 9?
0
What is 11220 divided by -935?
-12
-20 divided by 1
-20
Calculate -3 divided by 962.
-3/962
What is 1980 divided by 3?
660
42 divided by -6
-7
What is -1 divided by 1891?
-1/1891
What is 99 divided by 11?
9
Divide 75 by 75.
1
Calculate 2 divided by -167.
-2/167
5 divided by 49
5/49
What is 27 divided by -4?
-27/4
3 divided by -615
-1/205
What is 688 divided by -86?
-8
Calculate -1279 divided by 1279.
-1
-1 divided by 2602
-1/2602
What is 17010 divided by -3?
-5670
Calculate 0 divided by -3713.
0
-84 divided by 5
-84/5
-2 divided by 233
-2/233
Divide 0 by -191.
0
4350 divided by 3
1450
106 divided by -4
-53/2
Divide -1914 by 6.
-319
15728 divided by -7864
-2
What is 572 divided by -13?
-44
What is 19 divided by -88?
-19/88
-4 divided by 762
-2/381
Divide 342 by 9.
38
Divide -1 by 241.
-1/241
690 divided by -138
-5
Divide -4482 by -9.
498
What is 15450 divided by -3090?
-5
Divide -1668 by 5.
-1668/5
-252 divided by 63
-4
Divide 257 by -4.
-257/4
What is 6 divided by -12?
-1/2
219 divided by -1
-219
Calculate 4 divided by 517.
4/517
5031 divided by -2
-5031/2
Divide -216 by -12.
18
Divide -4 by -19.
4/19
Calculate -180 divided by -60.
3
3 divided by -30
-1/10
Divide -611 by 4.
-611/4
-2265 divided by -1
2265
Divide -243 by 81.
-3
Divide -6720 by -4.
1680
Divide -204 by 4.
-51
What is 9372 divided by -66?
-142
Calculate -1304 divided by 4.
-326
Divide -696 by -348.
2
Calculate 176 divided by -50.
-88/25
What is 22 divided by 11?
2
Divide 2 by -71.
-2/71
What is 71 divided by -7?
-71/7
272 divided by -4
-68
Calculate -377 divided by -5.
377/5
Calculate 204 divided by 17.
12
Divide -6606 by -4.
3303/2
2 divided by 1618
1/809
-413 divided by 1
-413
What is 1785 divided by 15?
119
Divide -1120 by -4.
280
What is 5 divided by 982?
5/982
What is -60 divided by -38?
30/19
-7 divided by 4059
-7/4059
Divide -23 by -5.
23/5
-2 divided by -37
2/37
Divide 35088 by 4.
8772
Calculate -1206 divided by -1.
1206
Divide -149 by -2.
149/2
-941 divided by -1
941
Divide 1926 by 3.
642
What is -4 divided by -3245?
4/3245
What is -2 divided by -164?
1/82
Calculate 127 divided by -55.
-127/55
Divide 4116 by 14.
294
Calculate -34 divided by 13.
-34/13
416 divided by -4
-104
What is -323 divided by 13?
-323/13
Calculate 18970 divided by -5.
-3794
Divide 13624 by 26.
524
-8418 divided by -2806
3
Divide -1550 by 2.
-775
308 divided by -2
-154
-17 divided by -5
17/5
Calculate -3070 divided by 614.
-5
What is -723 divided by -3?
241
1 divided by 2166
1/2166
What is 444 divided by -6?
-74
-18135 divided by -65
279
Divide 3 by 2468.
3/2468
7181 divided by -1
-7181
Divide -1915 by 1.
-1915
561 divided by 8
561/8
Calculate 1 divided by -393.
-1/393
What is 0 divided by -39?
0
20 divided by -28
-5/7
2345 divided by 1
2345
-6 divided by -140
3/70
Calculate -1 divided by -1899.
1/1899
Calculate 4620 divided by -6.
-770
Calculate 110 divided by -1.
-110
Calculate 5 divided by 25.
1/5
-1066 divided by -533
2
208 divided by -6
-104/3
Calculate -5 divided by -19.
5/19
What is 31 divided by -5?
-31/5
What is 51 divided by 57?
17/19
Calculate 2537 divided by -59.
-43
-36506 divided by 2
-18253
528 divided by -11
-48
Divide -1762 by 6.
-881/3
1048 divided by -524
-2
What is 12290 divided by -1229?
-10
Calculate -31 divided by 4.
-31/4
-2 divided by -18
1/9
Divide -48 by 8.
-6
What is 0 divided by 53?
0
What is -2 divided by -2906?
1/1453
Calculate 2750 divided by -25.
-110
Divide 107 by 2.
107/2
415 divided by 83
5
What is 138 divided by 17?
138/17
What is -225 divided by -24?
75/8
Divide -1424 by -4.
356
Divide 2 by -674.
-1/337
-55 divided by -6
55/6
What is 708 divided by 6?
118
-3262 divided by 7
-466
What is 56 divided by -212?
-14/53
Calculate 858 div
|
{
"pile_set_name": "DM Mathematics"
}
|
of 17?
False
Is 3280 a multiple of 40?
True
Is 988 a multiple of 52?
True
Is 61 a factor of 9993?
False
Is 440 a multiple of 4?
True
Is 9 a factor of 1395?
True
Does 16 divide 2672?
True
Is 427 a multiple of 7?
True
Does 2 divide 169?
False
Does 14 divide 238?
True
Does 42 divide 9599?
False
Is 1755 a multiple of 26?
False
Is 51 a factor of 1734?
True
Is 44 a factor of 27573?
False
Is 93 a factor of 25761?
True
Is 16 a factor of 35440?
True
Does 4 divide 34440?
True
Is 49237 a multiple of 12?
False
Is 31 a factor of 744?
True
Does 53 divide 3339?
True
Is 5 a factor of 72905?
True
Is 55371 a multiple of 79?
False
Is 527 a multiple of 6?
False
Is 52 a factor of 2236?
True
Is 27 a factor of 11043?
True
Does 290 divide 83230?
True
Is 16 a factor of 4128?
True
Is 1035 a multiple of 15?
True
Is 11 a factor of 2036?
False
Does 13 divide 359?
False
Is 5515 a multiple of 4?
False
Is 13 a factor of 955?
False
Is 12 a factor of 86580?
True
Is 41 a factor of 1804?
True
Does 34 divide 3647?
False
Is 65 a multiple of 13?
True
Is 29 a factor of 1015?
True
Is 123 a factor of 11808?
True
Is 38 a factor of 26638?
True
Does 19 divide 3198?
False
Does 46 divide 2162?
True
Is 44 a factor of 2596?
True
Is 40794 a multiple of 5?
False
Does 23 divide 13823?
True
Does 2 divide 357?
False
Is 13 a factor of 4698?
False
Is 3 a factor of 5711?
False
Is 300 a multiple of 6?
True
Is 6448 a multiple of 46?
False
Is 31 a factor of 1280?
False
Does 5 divide 2038?
False
Is 6034 a multiple of 14?
True
Is 18 a factor of 9590?
False
Does 68 divide 12716?
True
Does 19 divide 7790?
True
Does 38 divide 380?
True
Is 9216 a multiple of 9?
True
Does 2 divide 191?
False
Is 4 a factor of 92?
True
Is 340 a multiple of 17?
True
Is 5 a factor of 3555?
True
Is 48707 a multiple of 6?
False
Is 15 a factor of 539?
False
Is 4512 a multiple of 282?
True
Is 11 a factor of 51?
False
Does 5 divide 2411?
False
Is 629 a multiple of 17?
True
Is 21 a factor of 11295?
False
Is 73 a factor of 592?
False
Does 61 divide 9333?
True
Is 63860 a multiple of 31?
True
Is 12236 a multiple of 19?
True
Does 19 divide 619?
False
Is 733 a multiple of 39?
False
Is 20358 a multiple of 43?
False
Does 5 divide 25283?
False
Does 8 divide 1273?
False
Does 11 divide 11605?
True
Does 76 divide 1596?
True
Is 2400 a multiple of 75?
True
Does 22 divide 499?
False
Does 24 divide 15500?
False
Is 936 a multiple of 39?
True
Does 14 divide 15500?
False
Is 64 a factor of 16064?
True
Is 139 a factor of 2995?
False
Does 66 divide 8844?
True
Does 5 divide 6818?
False
Is 11 a factor of 53477?
False
Is 21 a factor of 273?
True
Does 40 divide 4134?
False
Is 12 a factor of 17616?
True
Is 24303 a multiple of 87?
False
Does 10 divide 2350?
True
Does 20 divide 583?
False
Is 21 a factor of 215?
False
Is 8 a factor of 375?
False
Does 32 divide 768?
True
Is 924 a multiple of 4?
True
Does 77 divide 1848?
True
Does 5 divide 100?
True
Is 14990 a multiple of 97?
False
Does 184 divide 524?
False
Is 110 a multiple of 4?
False
Does 9 divide 503?
False
Does 5 divide 443?
False
Is 2365 a multiple of 11?
True
Does 35 divide 10140?
False
Does 113 divide 2366?
False
Is 7332 a multiple of 13?
True
Does 15 divide 165?
True
Is 1040 a multiple of 16?
True
Is 26 a factor of 5189?
False
Is 4826 a multiple of 193?
False
Is 16 a factor of 5296?
True
Is 22 a factor of 572?
True
Does 3 divide 10574?
False
Is 4483 a multiple of 59?
False
Is 823 a multiple of 43?
False
Is 2112 a multiple of 66?
True
Is 27 a multiple of 4?
False
Is 1655 a multiple of 5?
True
Is 17 a factor of 7548?
True
Does 22 divide 761?
False
Does 3 divide 2478?
True
Is 25 a factor of 325?
True
Is 32 a factor of 644?
False
Is 3 a factor of 12775?
False
Is 14 a factor of 49616?
True
Is 5 a factor of 164?
False
Does 83 divide 22559?
False
Is 12138 a multiple of 37?
False
Does 26 divide 6067?
False
Is 4068 a multiple of 113?
True
Is 84 a factor of 1347?
False
Does 55 divide 1303?
False
Does 18 divide 2268?
True
Is 9880 a multiple of 60?
False
Is 727 a multiple of 5?
False
Is 7 a factor of 770?
True
Does 8 divide 503?
False
Does 3 divide 13805?
False
Is 689 a multiple of 53?
True
Does 40 divide 3280?
True
Is 3045 a multiple of 21?
True
Is 23 a factor of 8163?
False
Is 8897 a multiple of 31?
True
Does 63 divide 2961?
True
Is 7830 a multiple of 15?
True
Is 3744 a multiple of 20?
False
Is 12 a factor of 120?
True
Does 17 divide 7546?
False
Does 15 divide 4948?
False
Is 7755 a multiple of 15?
True
Is 6 a factor of 495?
False
Does 14 divide 460?
False
Does 2 divide 3?
False
Is 16 a factor of 2987?
False
Does 18 divide 62718?
False
Does 5 divide 4280?
True
Is 50 a factor of 850?
True
Does 11 divide 99?
True
Does 56 divide 227?
False
Is 12111 a multiple of 16?
False
Is 3 a factor of 1633?
False
Does 23 divide 17164?
False
Does 13 divide 611?
True
Does 10 divide 60?
True
Is 45 a factor of 1898?
False
Is 5 a factor of 163?
False
Is 1900 a multiple of 76?
True
Does 7 divide 1120?
True
Is 6503 a multiple of 100?
False
Is 85 a factor of 12155?
True
Is 67172 a multiple of 83?
False
Is 6 a factor of 102?
True
Does 29 divide 58?
True
Is 7 a factor of 5243?
True
Is 2912 a multiple of 28?
True
Is 78932 a multiple of 187?
False
Does 14 divide 28777?
False
Is 18 a factor of 15860?
False
Is 32029 a multiple of 12?
False
Does 132 divide 13757?
False
Does 14 divide 6426?
True
Does 12 divide 132?
True
Is 7 a factor of 39?
False
Does 74 divide 279?
False
Is 789 a multiple of 13?
False
Is 37 a factor of 1221?
True
Is 5350 a multiple of 10?
True
Is 21555 a multiple of 23?
False
Does 4 divide 172?
True
Is 824 a multiple of 2?
True
Is 546 a multiple of 26?
True
Does 11 divide 5511?
True
Does 108 divide 5940?
True
Is 736 a multiple of 4?
True
Is 708 a multiple of 4?
True
Does 22 divide 704?
True
Is 5060 a multiple of 51?
False
Is 12 a factor of 3348?
True
Is 66 a factor of 1914?
True
Is 6743 a multiple of 11?
True
Does 16 divide 8496?
True
Is 14 a factor of 18074?
True
Is 11 a factor of 29085?
False
Does 22 divide 94710?
True
Is 323 a multiple of 31?
False
Is 84 a factor of 8745?
False
Is 323 a multiple of 19?
True
Is 9617 a multiple of 67?
False
Does 143 divide 53482?
True
Is 8 a factor of 512?
True
Is 89 a factor of 801?
True
Is 73 a factor of 1414?
False
Is 94 a factor of 2726?
True
Is 20 a factor of 2280?
True
Is 70 a multiple of 3?
False
Is 1872 a multiple of 48?
True
Does 91 divide 10192?
True
Is 33114 a multiple of 88?
False
Is 10 a factor of 730?
True
Does 27 divide 1485?
True
Is 1534 a multiple of 20?
False
Does 9 divide 1334?
False
Is 42 a factor of 714?
True
Is 1188 a multiple of 54?
True
Is 10 a factor of 4810?
True
Does 25 divide 400?
True
Is 808 a multiple of 79?
False
Does 244 divide 34060?
False
Does 5 divide 1718?
False
Does 9 divide 1745?
False
Is 61749 a multiple of 174?
False
Does 123 divide 9619?
False
Does 44 divide 18744?
True
Is 20 a factor of 1571?
False
Is 59 a factor of 52389?
False
Is 5871 a multiple of 19?
True
Is 12 a factor of 35?
False
Is 140 a multiple of 88?
False
Does 35 divide 991?
False
Is 13916 a multiple of 163?
False
Does 16 divide 256?
True
Is 17 a factor of 1298?
False
Does 22 divide 440?
True
Is 1482 a multiple of 17?
False
Does 14 divide 7689?
False
Is 46 a factor of 782?
True
Is 8 a factor of 2641?
False
Is 2872 a multiple of 2?
True
Is 24 a factor of 101?
False
Is 45 a factor of 26370?
True
Does 12 divide 216?
True
Does 11 divide 264?
True
Is 31 a factor of 637?
False
Is 15 a factor of 3120?
True
Is 1274 a multiple of 7?
True
Does 21 divide 14074?
False
Is 42 a factor of 132?
False
Does 28 divide 79632?
True
Does 71 divide 515?
False
Does 157 divide 1527?
False
Does 12 divide 2148?
True
Is 25 a factor of 3570?
False
Does 9 divide 1845?
True
Does 7 divide 1430?
False
Does 93 divide 23566?
False
Does 6 divide 13398?
True
Is 39 a factor of 17798?
False
Is 24 a factor of 552?
True
Does 69 divide 828?
True
Does 19 divide 143135?
False
Is 8811 a multiple of 62?
False
Does 103 divide 6695?
True
Is 175 a multiple of 4?
False
Is 3795 a multiple of 39?
False
Does 5 divide 4905?
True
Is 67 a multiple of 6?
False
Is 22 a factor of 66?
True
Is 1136 a multiple of 16?
True
Is 112 even?
True
Is 19 a factor of 166?
False
Is 2669 a multiple of 17?
True
Is 182 a multiple of 2?
True
Does 20 divide 7028?
F
|
{
"pile_set_name": "DM Mathematics"
}
|
v be 1*2 + (-7 - -10). Suppose 0 = -o + 2*k + v, 11 + 9 = 4*o - 5*k. Suppose -o*n + 2 = -8. What is the units digit of n?
2
Suppose 26*q = -21*q + 28294. What is the tens digit of q?
0
Suppose h - d - d = 6, 3*h + 2*d = 2. Suppose -7*l = -h*l. Suppose -5*r = -4*u - 34, 4*u - 16 = -l*u. What is the tens digit of r?
1
Suppose 4*z - 4*w = 32, 3*z + 3*w + 9 - 3 = 0. Suppose z*t + t = m - 112, 228 = 2*m - 4*t. What is the units digit of m?
6
Let j = -235 - -623. What is the hundreds digit of j?
3
Suppose 0 = -5*b + 100*z - 101*z + 16351, -3*b + z = -9817. What is the hundreds digit of b?
2
Suppose 0 = 5*h + l + 25, -h - l - 4*l - 5 = 0. Let s = h + -77. Let d = 138 + s. What is the tens digit of d?
5
Let c(j) = j**2 - 6*j + 1. Suppose -b + 4 = 0, -b - 18 - 2 = -4*m. Let l = m + 2. What is the tens digit of c(l)?
1
Let q = 8 + -6. Suppose 0 = -j + 3*z - 8, q*j + 2*z - 7 - 9 = 0. Suppose -5*o = -j*i + 81, -5*o - 105 = -2*i - 3*i. What is the tens digit of i?
2
Let x(n) = n**3 + 9*n**2 - 18*n - 26. Let h be x(-11). Let z = 162 + h. What is the tens digit of z?
9
Let i = -372 - -381. Let x(u) = -27*u. Let d be x(3). What is the tens digit of (1 + -5)/(i/d)?
3
Suppose 6 = -z + 5*u - 10, 4*u = -3*z + 9. Let h be (-1 - 5/z) + 1. Suppose -2*i + 0*i + l = -57, -h*l = 3*i - 66. What is the tens digit of i?
2
Suppose -10*o = -16*o + 2034. What is the hundreds digit of o?
3
Suppose -3 = t - 14. Suppose t*y - 14*y = -36. Suppose 4*f = 7*f - y. What is the units digit of f?
4
Suppose 0*o + 4*o - 204 = 0. Let x(q) = -3*q**3 - 3*q + 3. Let y be x(2). Let z = o + y. What is the tens digit of z?
2
Suppose b - 2*g - 198 = 2*g, -386 = -2*b + 3*g. Suppose -3*j + b = -8. What is the units digit of j?
6
Suppose 5*o - 35 = 100. Let m = 62 - o. What is the tens digit of m?
3
Let k(i) = i**3 + 5*i**2 - 17*i - 6. Let m be k(-7). Suppose -13*z + 16*z = m. What is the units digit of z?
5
Let a be 10/(-15) + (-16)/(-6). Suppose 4*f - 2*g - 2 = 0, 3*f - 4*g = 4 + 5. What is the units digit of (-18)/(a*(f - 0))?
9
Suppose -21*j + 9258 - 2664 = 0. What is the tens digit of j?
1
Let a(s) = s - 1. Let k(y) = -y**3 - 4*y - 5. Let g be k(-2). Let l be a(g). Suppose l*u - 70 = 5*u. What is the tens digit of u?
1
Let w = 53 + 52. Suppose r + 4*r - w = 0. What is the tens digit of r?
2
Suppose -2*r - 18 = 7*r. What is the tens digit of r + (9/(-6))/((-2)/132)?
9
Suppose -11 = -5*z + 2*a, -4*z + a = -3*a - 4. Suppose 4*w - 27 = -3*r, -2*w - 3 = -z*w. Suppose 16 + 139 = 5*b - l, -b + r = 5*l. What is the tens digit of b?
3
Let y(o) = 97*o + 216. What is the thousands digit of y(11)?
1
Let w be (3/(-2))/((-3)/4). Suppose 7*i = w*i + 230. Let c = i + -31. What is the tens digit of c?
1
What is the units digit of 6/9*(6 - -1950)?
4
Let a = -171 - -310. What is the tens digit of a?
3
Suppose -2*j - 2*j + 2*b + 4 = 0, -4*b = -3*j + 8. Suppose j*x - 49 = -x - 3*y, 0 = 4*x + 5*y - 231. What is the units digit of x?
4
Let b be 6*(30/18 - 2/2). Suppose w - b*s + 236 = 5*w, 3*w - 5*s - 153 = 0. What is the tens digit of w?
5
Let k(m) = 2*m**3 + 3*m**2 - 9*m - 9. What is the tens digit of k(5)?
7
Let f(u) = 3*u - 12. Let q be f(5). Suppose 5*w + k = 13, -5*w + 23 = -q*k - k. Suppose 4*b - 5*p = 84, -3*b + 101 = w*p + 11. What is the units digit of b?
6
Suppose 2*d - 32 = -2*r, 4*r - 4*d - 82 = -2*d. Let b(h) = 2*h + 21. Let s be b(-11). Let q = r + s. What is the units digit of q?
8
Suppose 0 = -2*q + 3*h + 879, 4*h - 8*h - 1764 = -4*q. What is the tens digit of q?
4
Let j be (-3 - 4)*(-4)/14. Let p = 11 - 8. Suppose -j*m = p*m - 115. What is the units digit of m?
3
Suppose 0 = -22*x + 18*x + 2*f + 292, 0 = 5*x + 2*f - 365. What is the tens digit of x?
7
Suppose 47*a - 36416 = 31*a. What is the units digit of a?
6
Suppose -5*c + 5*k + 860 = -0*c, 2*c + 3*k = 319. Suppose 4*h = 3*h + c. What is the units digit of h?
7
Let q(w) = w + 1. Let u(g) = -4*g - 20. Let p(n) = -3*q(n) - u(n). Let b be p(-13). Suppose b*l = -z + 26, -z + 2*z + 9 = 3*l. What is the units digit of z?
6
Suppose -862 = -n + 30. Let m be (-16)/(-56) - n/(-14). Suppose -3*s = -8*s + 4*l + 151, -2*s - 2*l = -m. What is the tens digit of s?
3
Let l = 22 + -8. Suppose -441 = l*i - 2611. What is the hundreds digit of i?
1
Let h(u) be the second derivative of -u**3/3 - 6*u**2 - 12*u. Let d be h(-5). What is the tens digit of d/(-4) - (-1208)/16?
7
Suppose -142*x = -138*x - 456. What is the hundreds digit of x?
1
Suppose 0 = -12*h + 24*h - 4380. What is the units digit of h?
5
Suppose 0*m + 2*m - 5*l - 2736 = 0, 3*m = 4*l + 4090. Suppose -6*b - 512 + m = 0. What is the tens digit of b?
4
Suppose u = k + 9, -11 - 7 = -u + 4*k. Suppose -u*v + v = 25. Let d = v + 19. What is the units digit of d?
4
Suppose 0 = 5*k - 2*k + 48. Let u = k - -115. Suppose u = 4*q - q. What is the tens digit of q?
3
Let v(i) be the first derivative of i**2/2 + 4*i - 7. Let f be v(5). Suppose -2*r - f = -s, 5*s = -4*r + 13 + 18. What is the units digit of s?
7
Let v(c) = -c**2 + 9*c + 1. Let z(p) = 3*p - 12. Let w(u) = 2*u - 6. Let h(k) = -5*w(k) + 3*z(k). Let o be h(-10). What is the tens digit of v(o)?
2
Let a(h) = h - 11. Let l be a(13). Suppose 3*j = -l*j, 0 = -2*b + j + 110. What is the units digit of 1144/b*5/2?
2
Suppose 6*a - 3*a - 3*g - 252 = 0, g = -2. What is the tens digit of a?
8
Let m be ((-21144)/20)/(2/(-5)). What is the tens digit of -2 + m/15 - (-7)/(-35)?
7
Let s = -732 + 3397. What is the hundreds digit of s?
6
Suppose j - 3*t - 1970 = 0, -2*t = 10*j - 6*j - 7950. What is the hundreds digit of j?
9
Let j(x) = 15*x - 40. Let p = -107 + 124. What is the hundreds digit of j(p)?
2
Let i = 332 - 127. What is the hundreds digit of i?
2
Suppose 4*k - 3135 = 3*k + 2*j, -9413 = -3*k + 4*j. What is the hundreds digit of k?
1
Let n(d) be the second derivative of 0 + 1/6*d**3 + 1/12*d**4 - 1/2*d**2 - d + 3/20*d**5. What is the units digit of n(1)?
4
Suppose -2*n = 29 + 11. What is the tens digit of (-3)/3 + 3 + (0 - n)?
2
Suppose -b + 19 = -3*v, -b - 1 = v - 0. Suppose -b*z = -4*m - 32, -4*z - 3*m = -0*m + 3. What is the tens digit of -4*(z + 95/(-10))?
2
Let o(f) = 26*f - 2. Let d be o(1). Suppose 2*j = d + 44. What is the tens digit of j?
3
Let v(d) = 18*d**2 + 2*d + 8. Let g be v(-4). Let r = g + -12. What is the units digit of r?
6
Let r be -6*(0 + 1/(-2)). Suppose r*b = -w - 3*w + 361, w + 2*b = 89. What is the tens digit of w?
9
Let g be 27/12*(8 - 0). Suppose 0 = g*f - 17*f + 9. What is the tens digit of -3*f/((-81)/(-78))?
2
Suppose -f + 3*w = -970, f - 2897 = -2*f - 4*w. What is the tens digit of f?
6
Suppose -2*u + 836 = 4*n - 368, 5*u + 3*n = 3010. What is the tens digit of u?
0
Let w be (1/(-4))/((-11)/(-22))*2. Suppose 20 = 4*d - 12. What is the units digit of 46 + w - d/(-4)?
7
Let z(f) = -f**3 - 8*f**2 - 3*f - 9. Let g be z(-8). Let r = 15 - g. Suppose u + 4*u - 80 = r. What is the units digit of u?
6
Suppose -83*c = -82*c - 137. What is the units digit of c?
7
Suppose -3*k + 3*w = -5*k - 2, -4 = -3*k - w. Let t be (-7 + k + -2)*3. What is the tens digit of 2/7 - 897/t?
4
Suppose -h + 2 = 0, 2*h - 1108 = -3*j + 1161. What is the hundreds digit of j?
7
Suppose -2*u + 8 = 2*u. Let p = 68 + u. What is the units digit of p?
0
Let y be (-5)/3*12/(-10). Let w(s) = 3*s**y + 4 - s - 6 - 2*s + 11*s**2. What is the tens digit of w(2)?
4
Let b(x) = x**3 + 10*x**2 + 7*x - 16. Let t be b(-9). Let h(k) = -3 - k - t - 1 + 0. What is the tens digit of h(-18)?
1
Let n = -1198 - -3349. What is the thousands digit of n?
2
Let g(u) = u**2 - 1. Let k(a) = -75*a**2 + 4. Let q(b) = -5*g(b) - k(b). What is the tens digit of q(1)?
7
Let k(z) = -z**3 - z**2 - z + 827. What is the units digit of k(0)?
7
Suppose 3*l - 7*l = -40. Let v = l - 9. What is the tens digit of 28 + (-4 + v - -3)?
2
Let b be 5094/(-45) + (-4)/5. Let h = 8 - b. What is the tens digit of h?
2
What is the units digit of (-1)/(9/(-1566)*(-2)/(-21))?
7
Suppose 11*r - 7976 = 9151. What is the hundreds digit of r?
5
Suppose v + 57 + 59 = 0. Let u = -80 - v. Let t = 63 - u. What is the tens digit of t?
2
Let w(m) = 3*m**2 + 4*m - 13. Let l be w(-4). Let b(q) = -q**2 + 20*q + 32. What is the tens digit of b(l)?
5
Suppose 10*a - 5*a = -45. Let w(g) = -7*g + 12. Let x(b) = 5*b - 10. Let i(o) = -2*w(o
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the highest common divisor of 1980 and 450?
90
What is the greatest common factor of 10365 and 6?
3
What is the greatest common factor of 208 and 64?
16
Calculate the greatest common factor of 264 and 1512.
24
What is the highest common divisor of 26 and 481?
13
Calculate the highest common factor of 3627 and 117.
117
Calculate the highest common factor of 230 and 26.
2
Calculate the highest common divisor of 58 and 2.
2
Calculate the greatest common factor of 115 and 69.
23
Calculate the highest common factor of 25 and 275.
25
Calculate the highest common divisor of 6226 and 22.
22
What is the highest common divisor of 275 and 675?
25
Calculate the highest common factor of 2958 and 102.
102
What is the highest common factor of 30 and 510?
30
Calculate the greatest common factor of 238 and 196.
14
Calculate the greatest common factor of 109 and 18530.
109
Calculate the highest common divisor of 64 and 96.
32
Calculate the greatest common divisor of 24062 and 1362.
454
What is the highest common divisor of 208 and 48?
16
Calculate the greatest common factor of 63105 and 105.
105
What is the greatest common factor of 6 and 129?
3
Calculate the highest common factor of 30 and 960.
30
Calculate the highest common divisor of 120 and 6360.
120
Calculate the highest common divisor of 148 and 259.
37
What is the greatest common divisor of 111534 and 174?
174
Calculate the highest common factor of 23 and 713.
23
What is the greatest common factor of 261 and 81?
9
What is the greatest common factor of 3268 and 152?
76
Calculate the highest common divisor of 860 and 20.
20
What is the greatest common divisor of 436 and 4142?
218
Calculate the greatest common divisor of 369 and 656.
41
Calculate the greatest common factor of 60 and 56.
4
What is the greatest common divisor of 4420 and 220?
20
What is the greatest common factor of 51 and 1479?
51
Calculate the greatest common factor of 77 and 11.
11
Calculate the greatest common factor of 3636 and 228.
12
What is the highest common divisor of 410 and 5125?
205
What is the greatest common divisor of 1470 and 168?
42
What is the greatest common divisor of 225 and 576?
9
Calculate the highest common divisor of 2210 and 1040.
130
What is the greatest common factor of 14 and 1799?
7
What is the greatest common factor of 164 and 82?
82
Calculate the greatest common factor of 15 and 9.
3
Calculate the highest common factor of 8 and 170.
2
Calculate the greatest common divisor of 149 and 29353.
149
What is the highest common factor of 7 and 79?
1
Calculate the highest common divisor of 26208 and 21.
21
Calculate the greatest common divisor of 168 and 490.
14
What is the greatest common divisor of 949 and 292?
73
What is the greatest common factor of 78 and 102?
6
What is the highest common divisor of 28 and 812?
28
Calculate the highest common factor of 18 and 1314.
18
Calculate the greatest common factor of 225 and 135.
45
What is the greatest common factor of 34 and 221?
17
What is the highest common factor of 6634 and 214?
214
What is the highest common factor of 411 and 9?
3
Calculate the greatest common divisor of 320 and 560.
80
What is the highest common divisor of 21 and 8547?
21
What is the greatest common divisor of 35 and 105?
35
What is the greatest common divisor of 8 and 512?
8
Calculate the greatest common factor of 2 and 288.
2
Calculate the highest common divisor of 6 and 32.
2
What is the greatest common divisor of 1122 and 51?
51
Calculate the greatest common divisor of 13534 and 606.
202
Calculate the highest common factor of 120 and 1698.
6
What is the highest common divisor of 3133 and 13?
13
Calculate the highest common divisor of 3624 and 48.
24
Calculate the highest common factor of 184 and 23.
23
What is the highest common factor of 16 and 88?
8
Calculate the highest common divisor of 10498 and 174.
58
What is the greatest common factor of 2 and 24?
2
What is the highest common divisor of 80 and 560?
80
Calculate the greatest common factor of 589 and 217.
31
What is the greatest common factor of 130 and 52?
26
Calculate the highest common divisor of 9 and 126.
9
Calculate the greatest common factor of 1071 and 238.
119
Calculate the highest common factor of 1457 and 282.
47
What is the highest common factor of 420 and 924?
84
Calculate the highest common divisor of 342 and 4680.
18
Calculate the greatest common factor of 30 and 132.
6
What is the highest common divisor of 494 and 78?
26
Calculate the highest common divisor of 92 and 12443.
23
Calculate the greatest common factor of 43 and 344.
43
What is the greatest common divisor of 5225 and 125?
25
Calculate the highest common factor of 21791 and 308.
77
What is the highest common divisor of 1416 and 4779?
177
What is the greatest common factor of 350 and 14?
14
Calculate the highest common divisor of 2171 and 39.
13
What is the highest common divisor of 136 and 510?
34
What is the highest common divisor of 217 and 31?
31
What is the highest common factor of 64 and 5184?
64
Calculate the greatest common divisor of 1340 and 720.
20
Calculate the greatest common factor of 644 and 828.
92
Calculate the highest common divisor of 1024 and 48.
16
What is the greatest common divisor of 3842 and 34?
34
Calculate the greatest common factor of 11374 and 66.
22
Calculate the highest common divisor of 216 and 1016.
8
What is the greatest common divisor of 11 and 2904?
11
Calculate the highest common factor of 10 and 690.
10
Calculate the highest common factor of 2338 and 14.
14
What is the highest common factor of 120 and 4290?
30
Calculate the highest common divisor of 150 and 120.
30
What is the highest common divisor of 29216 and 44?
44
Calculate the highest common factor of 146 and 2701.
73
What is the highest common factor of 1196 and 364?
52
Calculate the highest common factor of 129 and 2279.
43
Calculate the greatest common factor of 1476 and 27.
9
What is the greatest common factor of 276 and 20792?
92
What is the greatest common divisor of 494 and 1292?
38
What is the greatest common factor of 140 and 1393?
7
What is the highest common divisor of 676 and 78?
26
Calculate the highest common factor of 600 and 4.
4
Calculate the highest common factor of 18405 and 45.
45
Calculate the highest common factor of 234 and 3055.
13
Calculate the highest common divisor of 203 and 1189.
29
Calculate the greatest common factor of 459 and 6.
3
Calculate the highest common divisor of 5123 and 235.
47
What is the greatest common divisor of 6 and 393?
3
Calculate the highest common factor of 23933 and 91.
91
What is the greatest common factor of 615 and 465?
15
Calculate the greatest common divisor of 200 and 16.
8
What is the greatest common factor of 343 and 28?
7
Calculate the greatest common factor of 6 and 344.
2
Calculate the highest common divisor of 2583 and 105.
21
Calculate the greatest common factor of 1610 and 105.
35
What is the highest common factor of 40 and 860?
20
What is the greatest common divisor of 116 and 11716?
116
Calculate the greatest common factor of 180 and 666.
18
Calculate the greatest common divisor of 242 and 3751.
121
What is the greatest common divisor of 343 and 7?
7
What is the highest common factor of 200 and 160?
40
What is the highest common divisor of 540 and 40?
20
What is the highest common divisor of 26 and 702?
26
What is the highest common factor of 703 and 666?
37
What is the highest common factor of 160 and 1056?
32
Calculate the greatest common divisor of 224 and 2268.
28
Calculate the highest common factor of 818 and 2.
2
What is the greatest common factor of 1786 and 38?
38
What is the highest common divisor of 108 and 486?
54
What is the highest common divisor of 118 and 4?
2
What is the highest common factor of 72 and 12?
12
What is the greatest common divisor of 38 and 130?
2
What is the greatest common divisor of 42 and 2702?
14
Calculate the highest common factor of 27 and 2151.
9
What is the highest common factor of 24 and 1176?
24
Calculate the highest common factor of 31 and 93.
31
What is the highest common divisor of 84 and 17724?
84
Calculate the highest common divisor of 40 and 1132.
4
Calculate the highest common factor of 72 and 54.
18
Calculate the highest common factor of 675 and
|
{
"pile_set_name": "DM Mathematics"
}
|
mplify (3*(4 + -2*sqrt(171) + (sqrt(171) - -3*(sqrt(171) + -4))))**2.
-864*sqrt(19) + 6732
Simplify (-4*sqrt(70)*6 - sqrt(70))/((-5*sqrt(70) - sqrt(70))/sqrt(7))*-2.
-25*sqrt(7)/3
Simplify (2 + sqrt(5) + -2 - sqrt(25)/(sqrt(5)*-2)) + -1 + -2*(2 + sqrt(5)).
-5 - sqrt(5)/2
Simplify 6*(sqrt(100)/sqrt(5)*-3)/(4*sqrt(100)).
-9*sqrt(5)/10
Simplify 4*(sqrt(88)*1*-4 - sqrt(88) - (-5*-1*sqrt(88) - sqrt(88)))/(-5*sqrt(24)/sqrt(3)*2).
18*sqrt(11)/5
Simplify ((-5*sqrt(567) - sqrt(7))**2 - (-2 + sqrt(343))) + -5.
-7*sqrt(7) + 14809
Simplify (-1*(sqrt(1216)*-1 + sqrt(1216) + 1 + -4 + 1*sqrt(1216) + 1))**2.
-32*sqrt(19) + 1220
Simplify (sqrt(2240)*-2)/(sqrt(5) + (sqrt(35)*1)/sqrt(7)) + -1.
-8*sqrt(7) - 1
Simplify (-5*sqrt(54)/sqrt(3)*1)/(sqrt(216)*1 - sqrt(54)/(sqrt(9)*2)).
-10*sqrt(3)/11
Simplify ((sqrt(130) - sqrt(130)*-1*-3) + (sqrt(130) - (sqrt(130) - 2*(2*sqrt(130) + sqrt(130)))))/(-2*-2*sqrt(360) + sqrt(360) - sqrt(360)).
sqrt(13)/6
Simplify 6*(sqrt(117)/(sqrt(9) - sqrt(72)/sqrt(32)) + (((sqrt(130) - (sqrt(130) + 2*sqrt(130)))*-5 - sqrt(130)) + sqrt(130))/sqrt(10)) + 0.
72*sqrt(13)
Simplify -5 + (1 + 4*(-2*sqrt(1539) - sqrt(1539)))**2 + -3.
-216*sqrt(19) + 221609
Simplify 2 + (3 + 1 + sqrt(6)/sqrt(3) + sqrt(2))**2 - ((sqrt(120) + (sqrt(120) - sqrt(120)*1))/sqrt(6))/(-2*(sqrt(10) + sqrt(40) + sqrt(10))).
129*sqrt(2)/8 + 26
Simplify sqrt(147) + (1*(-1 + sqrt(147)))**2 + sqrt(147) - ((sqrt(147) + 0)**2 + -2) - ((sqrt(147) - sqrt(147)*-2*-3)**2 + -4*(sqrt(147) + sqrt(147)*2)**2).
1620
Simplify ((sqrt(288) + -3 + sqrt(288) + (sqrt(288) - 4*sqrt(288)) + 6*sqrt(288)*-1)*6)**2.
18144*sqrt(2) + 508356
Simplify (sqrt(7920)*2 - (-1*sqrt(55) + sqrt(55))*-4)/(sqrt(125) + (sqrt(125) - -5*(sqrt(125) - 4*sqrt(125)))).
-24*sqrt(11)/65
Simplify (1*(sqrt(550) + sqrt(22)))/(2*sqrt(99)).
sqrt(2)
Simplify (-2*sqrt(1296)*-2)/(sqrt(80)/(sqrt(10) - 2*sqrt(10)*-1)).
108*sqrt(2)
Simplify (-1 + sqrt(13) + -3 + -4)**2 + sqrt(624)/sqrt(3) + -2.
-12*sqrt(13) + 75
Simplify sqrt(68)/(sqrt(12)/sqrt(108)) - ((0 + sqrt(153))**2 - (-1 + sqrt(1088))).
-154 + 14*sqrt(17)
Simplify (2*(sqrt(119) - (sqrt(119)*2 - sqrt(119) - sqrt(119))) - sqrt(119)*1*-2)/(sqrt(7) + sqrt(21)/sqrt(12) + sqrt(140)/sqrt(5)).
8*sqrt(17)/7
Simplify (1*sqrt(72) + (sqrt(24) + sqrt(96)/sqrt(4))/sqrt(3))/(sqrt(24)/(sqrt(726)*-2 - sqrt(6) - sqrt(6) - sqrt(6))).
-125*sqrt(2)
Simplify -1*((sqrt(363) - (5 + sqrt(363) + 0)) + (sqrt(363) - (sqrt(363) + 2*sqrt(363) + sqrt(363))*5)).
5 + 209*sqrt(3)
Simplify ((-5 + (-6*(1 + sqrt(200)) - sqrt(200)))**2 + -1)*2.
3080*sqrt(2) + 19840
Simplify (-6*sqrt(147)/sqrt(3)*3)/(sqrt(84)/(2*sqrt(972) + sqrt(972))).
-486*sqrt(7)
Simplify (-4*sqrt(1280))/sqrt(10) + sqrt(12)/(-1*(sqrt(6) + sqrt(294))).
-257*sqrt(2)/8
Simplify (-4 + sqrt(21)/sqrt(3) + sqrt(7) + 5 + (4*sqrt(14)/sqrt(2) - (sqrt(1008) + -1)))**2.
-24*sqrt(7) + 256
Simplify 2*((-5 + (sqrt(432) + 1 + sqrt(432) - sqrt(432)) + sqrt(432))*1)**2*-6.
-20928 + 2304*sqrt(3)
Simplify (-5 + (sqrt(125) + 2 - sqrt(125)) - (sqrt(125) + -5*-2*sqrt(125)))**2*2.
660*sqrt(5) + 30268
Simplify (2*(sqrt(102) + 1*sqrt(102)) - (sqrt(102) - -6*(sqrt(102) + (sqrt(102) - sqrt(102)*1) + sqrt(102))))/((sqrt(42) - 2*sqrt(42)*2)/sqrt(7)).
3*sqrt(17)
Simplify -5 + 6*(-5 + (-5*(sqrt(176) + 1)**2 + sqrt(176) - sqrt(176))) + 1.
-5344 - 240*sqrt(11)
Simplify 1*sqrt(252)*4 - 1*(sqrt(252) + 5)**2.
-277 - 36*sqrt(7)
Simplify (3 + ((sqrt(832) + 0)**2 - sqrt(13)) + sqrt(13))*-6 - -5*(-3*(sqrt(1573) - (sqrt(1573) - (sqrt(1573) + sqrt(1573)*-1))))**2.
-5010
Simplify -1 + -4 + -2 + (sqrt(931)*2)**2 + -4.
3713
Simplify (4 + (sqrt(396) + 1)*3 + sqrt(396) + sqrt(396) + 4 + -1 + (sqrt(396) - (sqrt(396) - (-1 + sqrt(396) + 5 - sqrt(396)))))**2.
840*sqrt(11) + 10096
Simplify -2 + -3 + (sqrt(11) + -2 + -4 - (-2 + sqrt(11) + -2))*-1.
-3
Simplify sqrt(99) + -1 + -5 + -2*(sqrt(11) + (sqrt(44)/sqrt(2))/sqrt(2)).
-6 - sqrt(11)
Simplify (6*(sqrt(325) + -3*(sqrt(325) + (sqrt(325) - 1*sqrt(325)) - sqrt(325)))*-6*6)**2.
15163200
Simplify (-3 + 0 + sqrt(1008))**2*5.
-360*sqrt(7) + 5085
Simplify ((((sqrt(120) - (6*sqrt(120)*1 + sqrt(120) + sqrt(120))) + sqrt(120))/sqrt(3))/(2*sqrt(648) - -1*sqrt(24)/sqrt(3)))**2.
180/361
Simplify -3 + (-2*(sqrt(405) - (-1 + sqrt(405))) + -2)**2 + 1.
14
Simplify -3 + (4 + (sqrt(72) - -2*sqrt(72)) + -1 + sqrt(72) + sqrt(72) + (sqrt(72) - sqrt(72)*1*5))**2 + 0.
36*sqrt(2) + 78
Simplify -2 + sqrt(1300)*2 + sqrt(104)/sqrt(72) + (-1*sqrt(143) - sqrt(143))/sqrt(11) + 2.
55*sqrt(13)/3
Simplify -1 + (sqrt(30)/(sqrt(6) + -2*sqrt(6)))**2 - sqrt(35)/(sqrt(35)/(sqrt(5)*1)).
-sqrt(5) + 4
Simplify (5*(2 + -3*sqrt(11)) + (sqrt(44)/sqrt(4)*2 - (1*sqrt(88))/sqrt(8)))**2.
-280*sqrt(11) + 2256
Simplify 3*((-5 + (sqrt(76) - (-1*sqrt(76) + sqrt(76))) + sqrt(76) + sqrt(76) + -3)*-5)**2.
-7200*sqrt(19) + 56100
Simplify ((sqrt(22) + sqrt(2662)*-2)/sqrt(11) - ((sqrt(2) - (sqrt(24)/sqrt(2))/sqrt(6)) + sqrt(2) + ((sqrt(2) + 1)*6 - sqrt(2))))**2.
324*sqrt(2) + 1494
Simplify 1*(-2*sqrt(240) - sqrt(60))/(sqrt(5) - sqrt(35)/(sqrt(7) + (sqrt(35)/sqrt(5) - sqrt(7)) + sqrt(7))).
-20*sqrt(3)
Simplify (sqrt(80) - (sqrt(80) + -2))**2 + 2 + -3*(2*sqrt(5)*-2 - sqrt(5))**2.
-369
Simplify (2*sqrt(72)*-1 + sqrt(72) + sqrt(72)*-1 + 5 + sqrt(72))**2*1*-2*5.
-970 + 600*sqrt(2)
Simplify (-1*sqrt(6)*-2 + sqrt(6))/sqrt(2) + (sqrt(27) + -3*sqrt(432) + sqrt(432) + sqrt(27))/sqrt(9).
-3*sqrt(3)
Simplify 5 + 1 + sqrt(1539) + -1 + 1*sqrt(1539) - (-6*sqrt(1539)*2 + 1).
4 + 126*sqrt(19)
Simplify -5*((sqrt(1053)*-3)**2 + -4 + 2*sqrt(13))*5.
-236825 - 50*sqrt(13)
Simplify (-3 + -5*(2 + 1*sqrt(320)))**2.
1040*sqrt(5) + 8169
Simplify 2*(-2*(sqrt(102) + sqrt(102) + (2*sqrt(102) - sqrt(102) - sqrt(102))))/(sqrt(6) + sqrt(216)*-1 + sqrt(216)).
-8*sqrt(17)
Simplify -5*(5*(3 + (3 + 0 + sqrt(363))*3))**2.
-426375 - 99000*sqrt(3)
Simplify ((sqrt(95) + sqrt(95)*-1)*2 + sqrt(95) + sqrt(95) + -1*sqrt(95)*-2)/(-1*sqrt(80)*3).
-sqrt(19)/3
Simplify 4 + (sqrt(200) - (sqrt(200) + (sqrt(200) - sqrt(200)*-1)))**2 - ((sqrt(350)/sqrt(7))**2 + 1).
753
Simplify 1 + (sqrt(120)/sqrt(6)*-1)/(-3*sqrt(90) + sqrt(10)).
sqrt(2)/8 + 1
Simplify (1 + 3*((sqrt(171) + sqrt(171)*-2 - sqrt(171) - sqrt(171)) + sqrt(171))/sqrt(9))**2 + 2.
-12*sqrt(19) + 687
Simplify 1*(1 + -1*sqrt(1700) - (sqrt(1700) + sqrt(1700)*-4 + sqrt(1700))*-2)**2.
-100*sqrt(17) + 42501
Simplify -1 + (-4 + 2*(sqrt(30)/(sqrt(110)/(sqrt(44)/sqrt(4))) + 0))**2.
-16*sqrt(3) + 27
Simplify (1 + ((sqrt(133) + sqrt(133)*-1 + sqrt(133))*-5 - sqrt(133))/sqrt(7)*-5)**2 + 0.
60*sqrt(19) + 17101
Simplify 0 + (1 + sqrt(17) + (sqrt(17) - (-1 + sqrt(17))) - (sqrt(17) - ((sqrt(17) - sqrt(272)) + -3 - sqrt(17)))) + (-4*(2*sqrt(85) + sqrt(85)))/sqrt(5).
-16*sqrt(17) - 1
Simplify 4*(sqrt(272) + (sqrt(272) - (sqrt(272) + -1*sqrt(272) + 1 - sqrt(272)))**2 - sqrt(272)) - (-3 + (-5 + sqrt(85)/(-2*sqrt(5)))**2).
-69*sqrt(17) + 17319/4
Simplify (((sqrt(90)/sqrt(3))/sqrt(6) - ((sqrt(405) + 3*sqrt(405))**2 - sqrt(405))) + 3)*-2.
-20*sqrt(5) + 12954
Simplify (1*1*-3*sqrt(77))/(sqrt(28)/(sqrt(40)/(sqrt(60)/sqrt(6)))).
-3*sqrt(11)
Simplify -4 + -1*(-6*(sqrt(272) + 1*sqrt(272)) - sqrt(272)).
-4 + 52*sqrt(17)
Simplify (sqrt(1088)*4)**2 + -4 - (3 + (2*sqrt(17))**2 - sqrt(17)*2*2).
4*sqrt(17) + 17333
Simplify 5 + (sqrt(228) - (2*sqrt(228)*5 + sqrt(228)))/(2*sqrt(48)).
-5*sqrt(19)/2 + 5
Simplify -4*(-4 + 3*sqrt(19) - (sqrt(19) + sqrt(171))*-1).
-28*sqrt(19) + 16
Simplify (sqrt(612) + 0 + 3 + sqrt(68) + 0 + -1)**2.
32*sqrt(17) + 1092
Simplify ((4 + (-3*sqrt(425) - sqrt(425)) + -1 + ((sqrt(17) - (sqrt(17) + sqrt(272))) + sqrt(17) - sqrt(17)) + sqrt(170)/(sqrt(40)/sqrt(4)))*-3)**2.
-1242*sqrt(17) + 81018
Simplify (-2 + (-4*(sqrt(6)/sqrt(2) - sqrt(3)))**2 - (5 + sqrt(9)/sqrt(3) + 6*sqrt(48))) + 3.
-25*sqrt(3) - 4
Simplify (-5*-5*(-1 + sqrt(153)*-1))**2 + 2.
3750*sqrt(17) + 96252
Simplify (-2 + (sqrt(2057) + 0)*-4 + -4*(sqrt(2057) + (1 + sqrt(2057) - sqrt(2057)) + 4))**2.
3872*sqrt(17) + 132132
Simplify (3*(1*sqrt(130) - sqrt(130)))/((-1*sqrt(90) + sqrt(90))/sqrt(9) - sqrt(10)) + -4.
-4
Simplify (-4*((sqrt(264)*-4 + sqrt(264))/sqrt(12))/(-3*sqrt(396)))**2.
8/9
Simplify 3 + ((-4 + -1*sqrt(13))*-1 - (sqrt(13) - 6*(sqrt(104)/sqrt(8))**2 - sqrt(13) - sqrt(13))*4).
5*sqrt(13) + 319
Simplify ((sqrt(88)/(sqrt(32)*5))/((sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
6
In base 9, what is -343 - -87?
-245
In base 14, what is -4 + -26?
-2a
In base 2, what is -1000010011 - -10?
-1000010001
In base 5, what is 3 + -1010?
-1002
In base 2, what is 100 - 11010101000?
-11010100100
In base 4, what is -100030 + -11?
-100101
In base 7, what is -30 - 30?
-60
In base 14, what is 2 + -cb3?
-cb1
In base 5, what is -121 - -1332?
1211
In base 5, what is 10 - 13?
-3
In base 13, what is 1032 + -3?
102c
In base 16, what is -78f + 1?
-78e
In base 16, what is 4 - 185?
-181
In base 16, what is 5 - -4e?
53
In base 5, what is -20 - 3?
-23
In base 12, what is 2 - -a7?
a9
In base 4, what is -11 - 2131?
-2202
In base 16, what is -114 - 7?
-11b
In base 10, what is -310 + 1?
-309
In base 16, what is 13 - -331?
344
In base 4, what is -131 - 3?
-200
In base 13, what is 1 - -90?
91
In base 10, what is -4 - 66?
-70
In base 3, what is -11101010 - -20?
-11100220
In base 13, what is 22 - -5?
27
In base 7, what is 2 - 5?
-3
In base 12, what is 0 - 8?
-8
In base 10, what is -5 - 67?
-72
In base 9, what is 551 + 38?
600
In base 8, what is 5 + -1230?
-1223
In base 6, what is 24 + -143?
-115
In base 2, what is 1110101110 + -10?
1110101100
In base 15, what is -410 - 18?
-428
In base 9, what is 0 + 270?
270
In base 7, what is 10 - 2126?
-2116
In base 12, what is -5 + -8?
-11
In base 8, what is 11 + 2013?
2024
In base 10, what is 4 + -113?
-109
In base 14, what is -43 + 4?
-3d
In base 12, what is a2b - -3?
a32
In base 6, what is -11 - -1?
-10
In base 8, what is -5 - -67?
62
In base 5, what is 4000 - -3?
4003
In base 11, what is -4 - -174?
170
In base 13, what is -1 + -126?
-127
In base 7, what is -2141 - 1?
-2142
In base 3, what is -1 - -20120000?
20112222
In base 14, what is 2 - -10?
12
In base 5, what is 13 + 3?
21
In base 15, what is -2 - a?
-c
In base 3, what is -10 - 0?
-10
In base 15, what is -8c - 29?
-b6
In base 8, what is 6 - -31?
37
In base 15, what is -98 - 6?
-9e
In base 11, what is -3 + 1288?
1285
In base 7, what is 2 - -43?
45
In base 13, what is 384 - 1?
383
In base 3, what is -101 + -1222?
-2100
In base 9, what is 1818 + -6?
1812
In base 7, what is -3614 + 4?
-3610
In base 12, what is -21 - 239?
-25a
In base 2, what is 101 + 110000?
110101
In base 8, what is -2027 - -6?
-2021
In base 9, what is 151 + 45?
206
In base 2, what is 11001010101101 + -10?
11001010101011
In base 3, what is -10201022 + -1?
-10201100
In base 8, what is 3 + 1052?
1055
In base 7, what is -314 - 66?
-413
In base 2, what is -101 + -111100100011?
-111100101000
In base 11, what is 285 + 2?
287
In base 12, what is 18 + -4?
14
In base 10, what is -1870 + -3?
-1873
In base 15, what is -41 - -e?
-32
In base 7, what is 6 - 56?
-50
In base 4, what is -10101 + 2101?
-2000
In base 9, what is -5 - -4?
-1
In base 9, what is -3 + -13?
-16
In base 9, what is 4 + 138?
143
In base 8, what is -367 + -21?
-410
In base 3, what is -20011 + -1212?
-22000
In base 8, what is 0 - 47?
-47
In base 13, what is c05 - -4?
c09
In base 9, what is 5 - 444?
-438
In base 15, what is 12b - -4?
130
In base 11, what is -4 - -20?
17
In base 15, what is -9d0 + -5?
-9d5
In base 8, what is 50 - -11?
61
In base 7, what is 3 + -214?
-211
In base 16, what is 3c8c + -4?
3c88
In base 3, what is 1212 - 1102?
110
In base 9, what is 24 - -712?
736
In base 6, what is 21 + -21?
0
In base 13, what is 117 + -b?
109
In base 5, what is -103124 + -1?
-103130
In base 6, what is -21224 - -11?
-21213
In base 10, what is 52 + -4?
48
In base 9, what is 3 + 144?
147
In base 16, what is -329 - 2?
-32b
In base 6, what is -21 + -14?
-35
In base 11, what is 519 - -3?
521
In base 3, what is 11 + 11?
22
In base 6, what is -1424 - 10?
-1434
In base 6, what is 3 + 1?
4
In base 13, what is 21 - 9?
15
In base 16, what is 38 - 63?
-2b
In base 7, what is -54 + 2?
-52
In base 16, what is -769 + -1?
-76a
In base 10, what is 2437 + -2?
2435
In base 14, what is 0 + 886?
886
In base 3, what is -2011 + 12?
-1222
In base 5, what is -22 + -1130?
-1202
In base 3, what is -11 - -2002?
1221
In base 13, what is 16 + -c5?
-ac
In base 6, what is -2 + 42131?
42125
In base 3, what is 1021111100 - -1?
1021111101
In base 16, what is -18c - 2?
-18e
In base 13, what is 3 - -132?
135
In base 9, what is 4 - 8861?
-8856
In base 12, what is 0 + -50?
-50
In base 14, what is 446 - 4?
442
In base 4, what is 320 - 2?
312
In base 11, what is 10a - -5a?
169
In base 4, what is -13 + 12?
-1
In base 14, what is -884 - -13?
-871
In base 12, what is 107 + -32?
95
In base 4, what is -13 - -111320?
111301
In base 4, what is -1 + 103002?
103001
In base 3, what is 102 - -1112020?
1112122
In base 14, what is -36 - b5?
-10b
In base 8, what is -1066 - 26?
-1114
In base 7, what is 36062 + 0?
36062
In base 14, what is -1 + 21d?
21c
In base 11, what is 86 + -2?
84
In base 5, what is -1022 - 2?
-1024
In base 16, what is 9 - -d?
16
In base 5, what is -13 + 102?
34
In base 13, what is 0 + -36?
-36
In base 12, what is -10b + -3?
-112
In base 2, what is 11000111 - -1100?
11010011
In base 11, what is 3 - -35?
38
In base 11, what is 52 - 5?
48
In base 9, what is 4 - -70?
74
In base 2, what is -10 - 1010000?
-1010010
In base 5, what is 10 + 341?
401
In base 2, what is -11001010011001 - -101?
-11001010010100
In base 15, what is 69 - 4?
65
In base 13, what is c31b + 2?
c320
In base 13, what is -18 - -a7?
8c
In base 10, what is -279 - 5?
-284
In base 13, what is 48 + 1?
49
In base 4, what is -20 - 0?
-20
In base 11, what is 2502 - 0?
2502
In base 11, what is 2 + -87?
-85
In base 5, what is -2 + 2032?
2030
In base 2, what is 11 - 1000011?
-1000000
In base 9, what is 135 + -14?
121
In base 15, what is -3 + 174?
171
In base 3, what is -111 + -102102?
-102220
In base 9, what is -54 + 8?
-45
In base 4, what is -10 - 1012?
-1022
In base 11, what is -13 + -6?
-19
In base 6, what is 11 - 310?
-255
In base 14, what is 5 + -16cb?
-16c6
In base 15, what is 8 - 47?
-3e
In base 3, what is 101220 + -11?
101202
In base 10, what is 18 - 13?
5
In base 2, what is 1010000011 + -111?
1001111100
In base 9, what is 1862 + 5?
1867
In base 16, what is 0 + 81c?
81c
In base 7, what is 64 - 2?
62
In base 4, what is 10 - 113?
-103
In base 8, what is -1460 - -5?
-1453
In base 4, what is -1002123 - -11?
-1002112
In base 10, what is 21 - 29?
-8
In base 13, what is -2 + -c77?
-c79
In base 10, what is -10 + 1342?
1332
In base 12, what is -b - 14?
-23
In base 6, what is -5 + 301?
252
In base 5, what is -443 + 4?
-434
In base 12, what is 7 - 82?
-77
In base 5, what is 340 - 0?
340
In base 11, what is -4 - -107?
103
In base 15, what is 0 - -3d?
3d
In base 10, what is -490 + -1?
-491
In base 9, what is 26 - -12?
38
In base 6, what is 352 + -10?
342
In base 9, what is 8723 - -4?
8727
In base 15, what is -72 + -3?
-75
In base 4, what is -12000 - -2?
-11332
In base 3, what is -1 - -2001122?
2001121
In base 8, what is 337 + 4?
343
In base 11, what is -4 + -14a?
-153
In base 11, what is -13 - -3a?
27
In base 16, what is -2c + -5c?
-88
In base 2, what is 10101011100 - -100?
10101100000
In base 13, what is 2 - -3909?
390b
In base 12, what is 84 - 4?
80
In base 8, what is 53 - 112?
-37
In base 3, what is 222012 + 21?
222110
In base 11, what is -5 + a?
5
In base 8, what is -1315 - -4?
-1311
In base 5, what is 103 + 0?
103
In base 13, what is 2 - 433?
-431
In base 9, what is 2 + -668?
-666
In base 8, what is -207 - 14?
-223
In base 3, what is -12011 - 1110?
-20121
In base 11, what is 2 - 1144?
-1142
In base 13, what is 25 + -6?
1c
In base 3, what is 2012 + 0?
2012
In base 3, what is 110 + 10021?
10201
In base 13, what is 1800 + -5?
17c8
In base 5, what is 434 - -233?
1222
In base 9, what is 16 - 7?
8
In base 15, what is c + -18e?
-182
In base 8, what is -4 - -133?
127
In base 9, what is 760 + -4?
755
In base 15, what is -3 - 1a9?
-1ac
In base 14, what is -3 - 2a?
-2d
In base 3, what is -22 - 2?
-101
In base 16, what is -5de4 + 3?
-5de1
In base 13, what is -3c7 + -5?
-3cc
In base 14, what is -2a + -c?
-38
In base 5, what is 303124 - -1?
303130
In base 2, what is -100 + 0?
-100
In base 11, what is 11 - 354?
-343
In base 13, what is -b18 - 2?
-b1a
In base 8, what is 2 + 2?
4
In base 3, what is -22 + -101102?
-101201
In base 6, what is -1 - 10452?
-10453
In base 8, what is -2 - -4154?
4152
In base 5, what is 24 + -30400?
-30321
In base 12
|
{
"pile_set_name": "DM Mathematics"
}
|
decimal places?
-0.0066
What is -6.937052398 rounded to two dps?
-6.94
Round -0.0000643817718 to 5 decimal places.
-0.00006
Round -62151.212 to the nearest 1000.
-62000
Round 27335969.32 to the nearest 100000.
27300000
What is -0.000000209501697 rounded to seven dps?
-0.0000002
What is 6554046.105 rounded to the nearest one hundred?
6554000
What is -74838.4169 rounded to the nearest 1000?
-75000
What is -0.0004187123839 rounded to 5 dps?
-0.00042
What is -0.61052266 rounded to three decimal places?
-0.611
What is -4012.70902 rounded to zero decimal places?
-4013
What is 421157994 rounded to the nearest 1000000?
421000000
What is 3747.539359 rounded to the nearest 100?
3700
Round 61868.7859 to the nearest 10.
61870
What is 8.0457976 rounded to 3 dps?
8.046
What is 23728890.1 rounded to the nearest 1000?
23729000
Round -2982147.46 to the nearest ten thousand.
-2980000
Round 48102088.8 to the nearest one thousand.
48102000
Round 131986.9004 to zero decimal places.
131987
Round 126985519.6 to the nearest 100000.
127000000
What is -11.90919532 rounded to 1 decimal place?
-11.9
Round 0.0045515506 to four dps.
0.0046
What is -86728.632 rounded to the nearest one thousand?
-87000
What is -0.21933847 rounded to 3 decimal places?
-0.219
Round 0.162949578 to 3 dps.
0.163
What is 2120.394537 rounded to the nearest integer?
2120
Round 0.000373366414 to 5 dps.
0.00037
Round 0.063853104 to four dps.
0.0639
What is -839759.43 rounded to the nearest 10000?
-840000
What is 16072.324651 rounded to the nearest ten?
16070
What is -0.0000047867694 rounded to 7 dps?
-0.0000048
What is 0.000264772678 rounded to seven dps?
0.0002648
Round -0.00066322841 to 7 decimal places.
-0.0006632
What is 0.0268962596 rounded to five dps?
0.0269
What is 91536989.74 rounded to the nearest one million?
92000000
What is 186156.545 rounded to the nearest one hundred?
186200
What is -0.000318891939 rounded to five dps?
-0.00032
What is -109.9376158 rounded to the nearest 10?
-110
What is -0.000493060481 rounded to six decimal places?
-0.000493
What is -0.03750066386 rounded to 3 dps?
-0.038
Round 0.000061436021 to five decimal places.
0.00006
What is -762251.2 rounded to the nearest 1000?
-762000
What is -0.001441335213 rounded to seven dps?
-0.0014413
Round -0.0005018748 to 4 decimal places.
-0.0005
What is 1151.665495 rounded to the nearest one hundred?
1200
Round 5.68860023 to two decimal places.
5.69
Round -413.74779 to the nearest 100.
-400
Round 37495451.2 to the nearest 10000.
37500000
Round -6.92290797 to two dps.
-6.92
Round -0.0005142646661 to 6 decimal places.
-0.000514
Round -15341.819 to the nearest ten.
-15340
What is -879009.92 rounded to the nearest 100?
-879000
What is 0.03348396386 rounded to six decimal places?
0.033484
What is 0.064476496 rounded to two decimal places?
0.06
Round 36.3748908 to two decimal places.
36.37
Round -731934.554 to the nearest one thousand.
-732000
What is 0.0001540265846 rounded to seven decimal places?
0.000154
Round -773.2030733 to one dp.
-773.2
What is 4845.94895 rounded to the nearest integer?
4846
Round -42463.4346 to the nearest one thousand.
-42000
What is -0.0000348247369 rounded to 5 decimal places?
-0.00003
What is 0.000704537787 rounded to four decimal places?
0.0007
What is 5.4074033 rounded to 1 dp?
5.4
What is 631.30495 rounded to the nearest 100?
600
What is -0.00045130687 rounded to 6 dps?
-0.000451
What is 0.93185216 rounded to the nearest integer?
1
What is 36239767 rounded to the nearest 100000?
36200000
What is 17683.23669 rounded to the nearest 1000?
18000
What is -0.00000143731846 rounded to 6 decimal places?
-0.000001
What is -631.011911 rounded to 0 dps?
-631
What is 2.02370888 rounded to 2 decimal places?
2.02
What is 0.52653067 rounded to four dps?
0.5265
What is -530515.47 rounded to the nearest ten thousand?
-530000
Round 4989.4504 to the nearest 10.
4990
Round 42081.8763 to the nearest ten.
42080
Round 0.01849006224 to three dps.
0.018
What is -20.899112 rounded to one dp?
-20.9
Round 694471830 to the nearest one hundred thousand.
694500000
Round 8536.46549 to the nearest 100.
8500
Round 821007.52 to the nearest 100.
821000
Round -668.2542536 to 2 dps.
-668.25
Round -127.3154443 to 1 decimal place.
-127.3
What is -26.7638231 rounded to the nearest integer?
-27
What is 932123075 rounded to the nearest 100000?
932100000
Round 92500244.7 to the nearest 1000000.
93000000
Round 0.000437551919 to 5 decimal places.
0.00044
What is 32.1230645 rounded to 2 dps?
32.12
Round -731142602.4 to the nearest one hundred thousand.
-731100000
What is 6.57127025 rounded to one dp?
6.6
What is -2723.60495 rounded to the nearest ten?
-2720
Round -15678.63049 to one decimal place.
-15678.6
What is 228868086 rounded to the nearest ten thousand?
228870000
What is -340097.615 rounded to the nearest ten?
-340100
What is -103201.75394 rounded to the nearest 10000?
-100000
What is -123638.669 rounded to the nearest ten thousand?
-120000
What is -2572.386766 rounded to zero decimal places?
-2572
What is 7557.2697 rounded to the nearest 10?
7560
What is 130090.751 rounded to the nearest 10000?
130000
What is -0.00134035255 rounded to four dps?
-0.0013
Round -11.49371612 to 1 decimal place.
-11.5
Round -2.5237634 to two dps.
-2.52
Round -340406318 to the nearest one million.
-340000000
What is 5.9775031 rounded to one decimal place?
6
Round 36675.9272 to the nearest one thousand.
37000
What is 0.0000005174574069 rounded to seven dps?
0.0000005
Round -1.47464649 to one decimal place.
-1.5
What is -0.00034485869 rounded to 5 decimal places?
-0.00034
What is -2314607580 rounded to the nearest 1000000?
-2315000000
Round -0.00161559783 to four decimal places.
-0.0016
Round -10101138.6 to the nearest 10000.
-10100000
What is 5453.61913 rounded to the nearest 1000?
5000
Round 0.0000020661563 to seven dps.
0.0000021
Round 257131.127 to the nearest ten.
257130
Round 11848888.2 to the nearest 10000.
11850000
What is 2854.00132 rounded to the nearest 1000?
3000
What is 280489.61 rounded to the nearest 100000?
300000
What is 44.601286 rounded to one dp?
44.6
What is 4.606008251 rounded to four decimal places?
4.606
What is -0.0006282566036 rounded to 4 decimal places?
-0.0006
Round -0.092347804 to four dps.
-0.0923
What is 1103.76904 rounded to one decimal place?
1103.8
Round -0.0000173801344 to six decimal places.
-0.000017
Round -0.18707 to three dps.
-0.187
Round 0.00001340810019 to six dps.
0.000013
What is -5701.950592 rounded to zero dps?
-5702
What is 26379758.8 rounded to the nearest 1000?
26380000
What is 0.950807244 rounded to 4 dps?
0.9508
What is -0.01413841 rounded to three decimal places?
-0.014
Round -69276.7088 to the nearest one hundred.
-69300
What is 58.7478457 rounded to the nearest integer?
59
Round 5876247460 to the nearest one million.
5876000000
What is 0.0030374656 rounded to five dps?
0.00304
Round -87218.14003 to the nearest one hundred.
-87200
Round -0.000005958737731 to 6 decimal places.
-0.000006
Round 396.650093 to the nearest 100.
400
Round 3365.266259 to the nearest 1000.
3000
What is 6795706.5 rounded to the nearest 10000?
6800000
What is 62.4028997 rounded to two dps?
62.4
What is 1490479980 rounded to the nearest 100000?
1490500000
Round -1131475.5793 to the nearest 10000.
-1130000
What is -710624.24 rounded to the nearest 10000?
-710000
Round -466.2229391 to the nearest integer.
-466
What is -906.7607684 rounded to 2 decimal places?
-906.76
What is -2.79418024 rounded to 0 decimal places?
-3
Round 1.290171593 to two decimal places.
1.29
Round -0.399934008 to 1 dp.
-0.4
What is -520.46196 rounded to the nearest one hundred?
-500
Round 0.0001035853108 to 6 dps.
0.000104
What is 1734.6739 rounded to 1 decimal place?
1734.7
Round 377122.527 to the nearest one thousand.
377000
What is 0.000040076897 rounded to 7 decimal places?
0.0000401
Round 18467.05014 to the nearest integer.
18467
What is 47879.8192 rounded to the nearest 10?
47880
What is -15471.2744 rounded to the nearest 100000?
0
What is -0.41420638 rounded to three decimal places?
-0.414
Round 15141816.4 to the nearest 1000000.
15000000
What is 0.1450589411 rounded to four dps?
0.1451
Round -269720.6 to the nearest one hundred thousand.
-300000
Round 4527.49
|
{
"pile_set_name": "DM Mathematics"
}
|
irst derivative of j(r). Factor o(q).
q**3*(q + 1)
Let z = 101 - 98. Let g(t) be the third derivative of 3/8*t**4 - 3/20*t**5 - t**2 + 1/40*t**6 + 0 - 1/2*t**z + 0*t. Determine d, given that g(d) = 0.
1
Let y(w) be the first derivative of -2*w**5/15 + 7*w**4/3 - 22*w**3/3 - 112*w**2/3 - 128*w/3 - 45. Solve y(n) = 0 for n.
-1, 8
Let p(h) be the third derivative of 0*h**5 + 0 + 0*h + 0*h**3 + 5*h**2 + 1/525*h**7 - 1/15*h**4 + 1/100*h**6. Factor p(b).
2*b*(b - 1)*(b + 2)**2/5
Let n(j) be the third derivative of j**6/540 - j**5/54 - 8*j**4/27 - 4*j**3/3 - 13*j**2 + 1. Factor n(s).
2*(s - 9)*(s + 2)**2/9
Factor 32/13*r**2 - 2/13*r**3 + 96/13 - 8*r.
-2*(r - 12)*(r - 2)**2/13
Factor 13*n**3 - 4*n**3 + 37*n**5 - 17*n**5 + 7*n**4 + 2*n**2 - 15*n + 5*n**3 - 19*n**5 - 9.
(n - 1)*(n + 1)**2*(n + 3)**2
Let j(v) be the second derivative of v**5/80 + v**4/8 + v**3/2 + v**2 + 2*v - 5. Factor j(b).
(b + 2)**3/4
Let p(v) be the first derivative of -1/8*v**2 + 5 + 1/12*v**3 + 7*v - 1/48*v**4. Let s(z) be the first derivative of p(z). Factor s(t).
-(t - 1)**2/4
Suppose -80*x - 8/3*x**2 + 0 + 28/15*x**3 + 2/15*x**4 = 0. Calculate x.
-10, 0, 6
Let l be -26*(-5 + 102/12). Let u = l + 100. Let -49/5*b**5 + u*b**3 + 28/5*b**2 - 28/5*b**4 + 4/5*b + 0 = 0. What is b?
-1, -2/7, 0, 1
Let x be 32/80 + (-173)/(-5). Factor 7*y**2 - 6*y**2 + 25*y - y**4 + 6*y**4 + 54*y**2 + x*y**3.
5*y*(y + 1)**2*(y + 5)
Factor 3*p**3 - 2 - 10 - 8*p**2 + 13*p**2 + 4*p**2.
3*(p - 1)*(p + 2)**2
Solve 2/3*a**5 + 0 - 2*a**2 - 10/3*a**3 + 0*a - 2/3*a**4 = 0 for a.
-1, 0, 3
Let k(t) be the third derivative of -5*t**8/336 - t**7/14 + t**6 + 20*t**5/3 + 28*t**2. Factor k(u).
-5*u**2*(u - 5)*(u + 4)**2
Let j(z) be the second derivative of -z**4/6 + 4*z**3 - 36*z**2 + 97*z. What is w in j(w) = 0?
6
Let i(u) be the second derivative of 5*u**7/42 - u**6/6 - 7*u**5/2 + 5*u**4/2 + 75*u**3/2 + 135*u**2/2 + 782*u. Find h, given that i(h) = 0.
-3, -1, 3
Let d(x) be the first derivative of -x**7/5880 - x**6/630 + x**5/168 - 3*x**3 - 25. Let w(b) be the third derivative of d(b). Factor w(j).
-j*(j - 1)*(j + 5)/7
Suppose 22/7*r**2 + 2/7*r**3 - 22/7 - 2/7*r = 0. Calculate r.
-11, -1, 1
Let s = 7631/21 - 2532/7. Factor -s*n**2 + 20/3 + 5*n.
-5*(n - 4)*(n + 1)/3
Let c be 1075/935 - ((-99)/51 - -2). Factor 48/11*k**2 - c*k**3 - 42/11*k + 12/11 - 12/11*k**4 + 6/11*k**5.
6*(k - 1)**4*(k + 2)/11
Suppose 9 = -5*v + 8*v. Factor h**2 - 32*h**v - 3*h**5 - 3*h**4 + 35*h**3 + 2*h**2.
-3*h**2*(h - 1)*(h + 1)**2
Let x(q) be the third derivative of 0*q + 0 + 7/330*q**5 - 23*q**2 + 1/660*q**6 + 0*q**3 + 1/22*q**4. Solve x(h) = 0.
-6, -1, 0
Let z(a) be the third derivative of a**5/180 - 163*a**4/36 + 26569*a**3/18 - 192*a**2. Suppose z(y) = 0. What is y?
163
Let a(k) be the third derivative of 2*k**7/105 + k**6/30 - k**5/15 - k**4/6 + 467*k**2. Determine v, given that a(v) = 0.
-1, 0, 1
Let y(h) = -h**3 - 7*h**2 + 7*h + 4. Let b(w) = -w**3 - 15*w**2 + 15*w + 8. Let l(g) = -3*b(g) + 7*y(g). Factor l(o).
-4*(o - 1)*(o + 1)**2
Solve -9/5*c**4 + 0 + 1/5*c**5 - 11/5*c**2 - 21/5*c**3 + 0*c = 0 for c.
-1, 0, 11
Let l(t) = -9*t**3 - 62*t**2 - 105*t - 48. Let j(c) = 29*c**3 + 187*c**2 + 315*c + 143. Let q(y) = 2*j(y) + 7*l(y). Factor q(z).
-5*(z + 1)**2*(z + 10)
Let n be (68/50)/(163/(-815)) + 8. Factor 8/5 - 2/5*h**2 + 24/5*h - n*h**3.
-2*(h - 2)*(h + 2)*(3*h + 1)/5
Let s(k) be the first derivative of -k**6/12 + 2*k**5/15 + 7*k**4/24 - 2*k**3/9 - k**2/3 - 1. Determine x, given that s(x) = 0.
-1, -2/3, 0, 1, 2
Let n(b) be the third derivative of b**7/126 + b**6/36 - b**5/12 - b**2 - 11. Factor n(c).
5*c**2*(c - 1)*(c + 3)/3
Let r = 244 + -244. Let t(j) be the first derivative of 2*j**2 - 5 - 2/3*j**3 + r*j. Find k such that t(k) = 0.
0, 2
Let x(g) be the first derivative of 5/18*g**3 + 2/3*g + 2/3*g**2 + 1/24*g**4 + 1. Solve x(z) = 0 for z.
-2, -1
Let v(r) be the third derivative of -r**5/480 + 35*r**4/192 - 17*r**3/24 + 22*r**2 - r. Factor v(g).
-(g - 34)*(g - 1)/8
Suppose -2*f - d + 476 = 0, d = f - 2*f + 237. What is u in -3 - f*u**4 - 3*u + 245*u**4 + 9*u**3 - 3*u**2 - 6*u = 0?
-1, -1/2, 1
Let v(h) be the first derivative of -27 + 21/5*h**5 - 3*h**2 - 7*h**3 + 3/2*h**4 + 0*h. Determine w so that v(w) = 0.
-1, -2/7, 0, 1
Let z(k) be the first derivative of k**8/6720 - k**7/840 + k**6/288 - k**5/240 + 10*k**3/3 + 2. Let t(l) be the third derivative of z(l). Factor t(g).
g*(g - 2)*(g - 1)**2/4
Let m = -703799/600 + 1173. Let n(i) be the third derivative of 0 + 1/60*i**4 - 4*i**2 + m*i**6 + 0*i + 1/100*i**5 + 0*i**3. Factor n(x).
x*(x + 1)*(x + 2)/5
Let o(s) be the second derivative of -s**5/70 + 8*s**4/21 + 130*s. Factor o(c).
-2*c**2*(c - 16)/7
Let i(a) = -a + 14. Let q be i(6). Let l(r) = -r**2 + 13*r - 20. Let o be l(q). Find v such that -v**4 + 9*v**4 - 4*v**5 + 16*v**3 - o*v**3 = 0.
0, 1
Let r(y) be the first derivative of y**5/30 + y**4/3 - 5*y**3/3 + 9*y**2 - 15. Let d(f) be the second derivative of r(f). Find n such that d(n) = 0.
-5, 1
Factor -32/13*b**2 - 2/13*b**3 + 68/13 + 38/13*b.
-2*(b - 2)*(b + 1)*(b + 17)/13
Suppose 0 = -698*m + 685*m. Suppose 3/4*c**5 - 1/4*c**3 + 0*c**2 - 1/2*c**4 + 0 + m*c = 0. Calculate c.
-1/3, 0, 1
Let x(d) be the second derivative of d**5/210 + 5*d**4/84 + 4*d**3/21 - 17*d**2/2 - d. Let q(c) be the first derivative of x(c). Factor q(b).
2*(b + 1)*(b + 4)/7
Let d(j) be the first derivative of j**3/4 - 3*j**2/8 - 37. Let d(g) = 0. What is g?
0, 1
Factor -20/7*p - 16/7*p**3 - 2/7*p**4 + 38/7*p**2 + 0.
-2*p*(p - 1)**2*(p + 10)/7
Let b(p) be the third derivative of p**7/210 - p**6/90 - 2*p**5/15 + 2*p**4/3 - 13*p**3/6 - 10*p**2. Let f(h) be the first derivative of b(h). Factor f(g).
4*(g - 2)*(g - 1)*(g + 2)
Let b(u) be the first derivative of -6*u**5/35 + 51*u**4/28 - 51*u**3/7 + 27*u**2/2 - 81*u/7 + 638. Suppose b(z) = 0. Calculate z.
1, 3/2, 3
Let c(r) be the first derivative of r**6/180 + r**5/30 + r**4/12 + r**3/3 + 6. Let w(x) be the third derivative of c(x). Solve w(t) = 0 for t.
-1
Let w(u) = -2*u + 23. Let j be w(10). Let t be ((-6)/5)/(3/(-10)). Let -3*d**4 - 2*d**t + j*d**4 = 0. Calculate d.
0
Factor 8*k**2 - 205*k + 174 + 98*k - 73*k - 550 - 4*k**2.
4*(k - 47)*(k + 2)
Let m(k) be the first derivative of k**3/15 + 57*k**2/10 - 58*k/5 - 47. Factor m(u).
(u - 1)*(u + 58)/5
Let o(g) = -4*g**5 - 4*g**4 - 5*g**3 - 19*g**2 - 7*g - 7. Let i(s) = s**5 + s**4 + 2*s**3 + 6*s**2 + 2*s + 2. Let z(y) = 7*i(y) + 2*o(y). Factor z(q).
-q**2*(q - 2)*(q + 1)*(q + 2)
Suppose -d + 18 = -5*u, -d - 12 = -4*d + u. Let o(x) be the third derivative of -1/36*x**4 + 0*x**d - 3*x**2 + 0*x - 1/180*x**5 + 0. Factor o(h).
-h*(h + 2)/3
Let o be ((-8)/28)/((-360)/63). Let m(b) be the third derivative of 0*b - 1/2*b**4 + 0*b**3 + 0 + 3*b**2 + o*b**5. Suppose m(f) = 0. Calculate f.
0, 4
Let x = 15895/3 - 5297. Let x*q**4 + 4/3*q**2 + 0*q + 8/3*q**3 + 0 = 0. Calculate q.
-1, 0
Factor 3/8*k**3 + 16875/2 + 903/8*k**2 + 8550*k.
3*(k + 1)*(k + 150)**2/8
Let j(x) be the third derivative of 0*x + 1/210*x**7 + 0 + 0*x**3 + 7/300*x**5 + 1/1680*x**8 + 3/200*x**6 - 55*x**2 + 1/60*x**4. Factor j(a).
a*(a + 1)**3*(a + 2)/5
Let g(z) be the second derivative of -1/4*z**5 + 0*z**4 + 0*z**2 + 0 + 5/6*z**3 + 13*z. Factor g(k).
-5*k*(k - 1)*(k + 1)
Let b(w) be the first derivative of -2*w**3/21 + 15*w**2/7 + 6. What is s in b(s) = 0?
0, 15
Let o(p) be the second derivative of -3*p**5/80 + 5*p**4/4 - 37*p**3/8 + 27*p**2/4 - 168*p. Factor o(q).
-3*(q - 18)*(q - 1)**2/4
Let c = 272/3 + -3443/39. Let m = c - -261/65. Suppose m*u**3 + 22/5*u**2 + 14/5*u**4 + 0 + 4/5*u = 0. What is u?
-1, -2/7, 0
Let j(i) = 2*i**2 - 7*i - 2. Let s be j(9). Let n = 197/2 - s. Solve n*a**3 + 0 + 3*a**2 + 0*a = 0 for a.
-2, 0
Let s(n) be the first derivative of -4/3*n - 22 + 0*n**2 + 1/9*n**3. Factor s(y).
(y - 2)*(y + 2)/3
Let l(r) be the first derivative of -1/4*r**3 - 35 - 48*r - 6*r**2. Suppose l(v) = 0. Calculate v.
-8
Let i(z) = 21*z**3 - 105*z**2 - 4*z - 4. Let q(s) = -16*s**3 + 105*s**2 + 3*s + 3. Let w(r) = -3*i(r) - 4*q(r). Suppose w(f) = 0. What is f?
0, 105
Let h(t) = 3*t**3 + 28*t**2 + 24*t - 3. Let l(n) = 8*n**3 + 57*n**2 + 50*n - 7. Let o(z) = -7*h(z) + 3*l(z). Factor o(a).
a*(a - 9)*(3*a + 2)
Let t = -40 + 46. Let c(z) be the third derivative of -5/3
|
{
"pile_set_name": "DM Mathematics"
}
|
ram in micrograms?
75
What is 95.39972 hours in microseconds?
343438992000
How many kilometers are there in 5402.005mm?
0.005402005
How many kilograms are there in 6/25 of a tonne?
240
How many grams are there in 6.859857kg?
6859.857
How many microseconds are there in 670169.2 milliseconds?
670169200
How many micrograms are there in seven halves of a milligram?
3500
How many kilograms are there in 0.4312814 micrograms?
0.0000000004312814
How many months are there in one fifteenth of a century?
80
What is fourty-five eighths of a microsecond in nanoseconds?
5625
Convert 7839.46 centimeters to millimeters.
78394.6
Convert 200111.3um to meters.
0.2001113
How many years are there in 1/10 of a decade?
1
How many milligrams are there in 918446.8 kilograms?
918446800000
What is one fifth of a microgram in nanograms?
200
What is 3/10 of a litre in millilitres?
300
How many millimeters are there in 21/5 of a centimeter?
42
What is 21/5 of a centimeter in micrometers?
42000
How many millilitres are there in 13/5 of a litre?
2600
How many kilograms are there in 169608.2 milligrams?
0.1696082
Convert 21751.818ms to minutes.
0.3625303
How many weeks are there in 4986.41724 milliseconds?
0.0000082447375
How many micrograms are there in 6062.074t?
6062074000000000
What is 46.5998 hours in nanoseconds?
167759280000000
How many months are there in 1/10 of a millennium?
1200
How many microseconds are there in 0.9312317ms?
931.2317
How many seconds are there in 29/3 of a minute?
580
What is 13/4 of a meter in millimeters?
3250
How many kilograms are there in 2.11265ug?
0.00000000211265
What is twenty-one halves of a milligram in micrograms?
10500
What is 3/10 of a tonne in kilograms?
300
What is one fifth of a millimeter in micrometers?
200
How many micrometers are there in 42/5 of a centimeter?
84000
Convert 0.4055004 weeks to microseconds.
245246641920
Convert 0.7826501us to nanoseconds.
782.6501
Convert 986.562ml to litres.
0.986562
What is 3/8 of a week in hours?
63
What is 47.72395m in kilometers?
0.04772395
How many kilograms are there in 4.728874ng?
0.000000000004728874
How many milliseconds are there in 0.5599674 days?
48381183.36
How many weeks are there in 12896.6376 hours?
76.7657
How many nanometers are there in 7/4 of a micrometer?
1750
How many micrometers are there in 0.96714cm?
9671.4
Convert 6.680553 kilograms to milligrams.
6680553
What is 3/25 of a millennium in months?
1440
How many micrograms are there in fourty-one halves of a milligram?
20500
What is three eighths of a millimeter in micrometers?
375
What is 5/6 of a hour in seconds?
3000
What is 60.13797 decades in months?
7216.5564
How many seconds are there in 34/9 of a hour?
13600
What is one sixteenth of a centimeter in micrometers?
625
What is 6/5 of a kilogram in grams?
1200
What is 5311.278 years in decades?
531.1278
What is 8924.379 weeks in seconds?
5397464419.2
Convert 456.4912 centuries to decades.
4564.912
How many milliseconds are there in one fifth of a minute?
12000
How many millimeters are there in 6002.429um?
6.002429
What is six fifths of a millennium in decades?
120
How many centimeters are there in 909.8793km?
90987930
Convert 513.8859 micrograms to milligrams.
0.5138859
What is 41/2 of a year in months?
246
What is 52.6176mg in tonnes?
0.0000000526176
What is 12090.63 years in months?
145087.56
What is 211556.2ng in micrograms?
211.5562
How many millennia are there in 145259.25 months?
12.1049375
How many days are there in 1016103.69 milliseconds?
0.011760459375
How many millilitres are there in 58959.07 litres?
58959070
What is 3/10 of a centimeter in micrometers?
3000
How many milliseconds are there in 5/8 of a minute?
37500
Convert 57932.28 nanometers to kilometers.
0.00000005793228
Convert 57449.43km to millimeters.
57449430000
How many kilograms are there in 4981.1 micrograms?
0.0000049811
Convert 1.9688013 nanoseconds to minutes.
0.000000000032813355
How many centuries are there in 0.3678867 years?
0.003678867
What is 3/50 of a litre in millilitres?
60
How many kilograms are there in 4.4413ng?
0.0000000000044413
How many seconds are there in 73/4 of a minute?
1095
How many centimeters are there in 46024.58um?
4.602458
Convert 1925.124ms to microseconds.
1925124
What is fifteen quarters of a litre in millilitres?
3750
Convert 478.4613 litres to millilitres.
478461.3
What is 19/4 of a second in milliseconds?
4750
How many meters are there in thirteen eighths of a kilometer?
1625
How many millilitres are there in 1746.903l?
1746903
How many days are there in 2169043.92s?
25.104675
What is 74/3 of a decade in months?
2960
How many hours are there in 4687.6968 milliseconds?
0.001302138
How many kilometers are there in 9.984387 centimeters?
0.00009984387
What is 87747.76 days in minutes?
126356774.4
Convert 154.400841 minutes to weeks.
0.01531754375
Convert 58.99678 weeks to days.
412.97746
What is 0.1327949um in meters?
0.0000001327949
What is 0.7257599 micrometers in millimeters?
0.0007257599
Convert 319438.5 litres to millilitres.
319438500
What is 9.2546ug in grams?
0.0000092546
How many millimeters are there in thirteen fifths of a centimeter?
26
What is 0.1831236 nanograms in grams?
0.0000000001831236
Convert 0.6441079mg to tonnes.
0.0000000006441079
What is twenty-one eighths of a gram in milligrams?
2625
How many millimeters are there in 7851.01 nanometers?
0.00785101
Convert 624625.3mm to centimeters.
62462.53
What is 0.1446505um in kilometers?
0.0000000001446505
What is 5.126975um in meters?
0.000005126975
What is 11/10 of a microgram in nanograms?
1100
How many milliseconds are there in 7913.651 hours?
28489143600
What is twenty-one fifths of a decade in months?
504
What is 0.5737564 millennia in centuries?
5.737564
What is 552.374 millimeters in kilometers?
0.000552374
How many tonnes are there in 7831.987g?
0.007831987
Convert 9.273588mm to kilometers.
0.000009273588
What is four thirds of a day in hours?
32
What is 1/5 of a microgram in nanograms?
200
What is one fifth of a kilometer in meters?
200
How many centimeters are there in 8/25 of a kilometer?
32000
What is 17/4 of a minute in seconds?
255
What is 547.5713 decades in years?
5475.713
How many millimeters are there in 314477.1 micrometers?
314.4771
Convert 29835.24 millilitres to litres.
29.83524
What is 1/5 of a millennium in months?
2400
What is 2231.866 millennia in decades?
223186.6
What is 7/4 of a litre in millilitres?
1750
What is 10.05587l in millilitres?
10055.87
How many months are there in 459.979 millennia?
5519748
Convert 6652.435ml to litres.
6.652435
How many millimeters are there in 958.2337 centimeters?
9582.337
How many millilitres are there in 7/8 of a litre?
875
How many millilitres are there in 45.28716l?
45287.16
What is five quarters of a litre in millilitres?
1250
How many kilograms are there in 681.4089ng?
0.0000000006814089
What is 6/5 of a milligram in micrograms?
1200
How many millilitres are there in 1/4 of a litre?
250
How many hours are there in 460314.3 days?
11047543.2
Convert 0.718714 centuries to years.
71.8714
How many years are there in 1/5 of a decade?
2
Convert 0.17893 years to months.
2.14716
How many nanoseconds are there in 5/4 of a microsecond?
1250
How many nanometers are there in twenty-five eighths of a micrometer?
3125
How many nanometers are there in 3/40 of a micrometer?
75
How many kilograms are there in 9/10 of a tonne?
900
Convert 1.029 hours to days.
0.042875
How many centuries are there in 599.6961 months?
0.49974675
How many nanoseconds are there in 72.38543 minutes?
4343125800000
How many milligrams are there in 7/25 of a gram?
280
What is 1187.121mm in kilometers?
0.001187121
How many micrograms are there in 18/5 of a milligram?
3600
How many seconds are there in four thirds of a hour?
4800
How many days are there in 7.8603669s?
0.00009097646875
What is 7/4 of a meter in centimeters?
175
What is thirteen fifths of a centimeter in micrometers?
26000
How many grams are there in sixty-one quarters of a kilogram?
15250
How many millilitres are there in 0.8260212l?
826.0212
What is 23/8 of a gram in milligrams?
2875
What is 64.71408ms in microseconds?
64714.08
How many grams are there in 51/4 of a kilogram?
12750
What is twenty-one fifths of
|
{
"pile_set_name": "DM Mathematics"
}
|
11044164*n wrt v?
4473*n*v**2 - 4540*n
Find the first derivative of -113*f*q - 56703625*f + 3921*q**2 wrt q.
-113*f + 7842*q
What is the second derivative of -j**2*u**2 - 41601395*j**2 - j*u**2 + 1724*j*u + 3*j + 5*u**2 + u + 473 wrt j?
-2*u**2 - 83202790
Find the second derivative of -117*g**3*u**3 - 141*g**3*u**2 + 4*g**3*u + 33617*g**3 + 2*g*u + 5*g + 59*u**2 - 4*u - 2 wrt u.
-702*g**3*u - 282*g**3 + 118
Find the third derivative of -138126856*l**4 - 450906*l**2 + 81 wrt l.
-3315044544*l
What is the derivative of -62446749*u**2 + 117633996?
-124893498*u
What is the second derivative of 186746438*l**3 + 29446696*l?
1120478628*l
Find the first derivative of -6*b*f**2*p + 3*b*p**2 - 53500*b*p - f**2*p - 39*f**2 + 4*f*p**2 - f*p + 105 wrt b.
-6*f**2*p + 3*p**2 - 53500*p
Find the third derivative of -1418585*u**5 - u**2 - 129*u - 11.
-85115100*u**2
What is the derivative of -322691045*d + 117993564?
-322691045
What is the third derivative of 71614984*b**3*g**4 + b**3*g**2 - 10*b**3*g - 66942*b**3 - 3*b*g**2 - 4*g**5 wrt g?
1718759616*b**3*g - 240*g**2
What is the second derivative of 365330*j*m**2 + 28213*j - 74*m**2 + 291*m wrt m?
730660*j - 148
What is the second derivative of -245935536*o**3 - 15*o + 1430161?
-1475613216*o
Find the second derivative of 3*j**2*s**2*w + 6811471*j**2*s*w - 42*j*s**2 - 323*j*s - 2*s**2*w - 3*s*w - 4*s - w wrt j.
6*s**2*w + 13622942*s*w
What is the second derivative of 2717966*b**3 + 129*b + 10801 wrt b?
16307796*b
Find the second derivative of -1219808*c**2*n**2*t**2 - 15*c**2*n**2 - 5*c**2*n*t**2 - 2*c**2*n*t + c**2*t**2 + 7408*c*n*t + 97*c*t**2 wrt n.
-2439616*c**2*t**2 - 30*c**2
Find the first derivative of 47360*a**2*c**3 + 2*a**2*c + 24*a**2 - 9144*c**3 + 346 wrt a.
94720*a*c**3 + 4*a*c + 48*a
What is the third derivative of 48*g**3*k**3 - 652*g**3*k + 96*g**3 + 363172*g*k**4 + 19*k**2 wrt k?
288*g**3 + 8716128*g*k
What is the third derivative of -2866700*r**4 - 3049*r**2 - 2*r + 258?
-68800800*r
What is the second derivative of -7313034*a*k**2 - a*k*v - 4*a*v - 868*a - 2*k**2*v - 2*k*v + 14*k wrt k?
-14626068*a - 4*v
Find the second derivative of 33087*k**2*n**3 - 3*k**2*n*u + 5*k*n**3*u - 9*k*n**3 - 2*k*n**2*u - k*u + n**3 + 26*n*u wrt k.
66174*n**3 - 6*n*u
Find the third derivative of 588418587*c*i**3*x**3 - 80*c*i**2*x**2 + c*i**2 + 2*c*i*x**3 + 2*c*x**3 - 5669*i**2 - i wrt i.
3530511522*c*x**3
Differentiate 381440203*y**3 - 80087422 wrt y.
1144320609*y**2
Find the third derivative of 178023583*o**3 + 147540220*o**2 wrt o.
1068141498
Differentiate -1650*y**2 + 1518*y + 14454949.
-3300*y + 1518
What is the derivative of 4996090*q**2 - 914024?
9992180*q
Find the first derivative of -641565*b**3 - 3*b**2 + 90320 wrt b.
-1924695*b**2 - 6*b
What is the first derivative of 83645*k**3*y + 57*k*y - 50252025*y wrt k?
250935*k**2*y + 57*y
Find the third derivative of b**4*h + 345*b**4 - 3*b**3*h - 1844*b**3 - 3208*b**2*h + 2*b**2 - 5*b*h - 72 wrt b.
24*b*h + 8280*b - 18*h - 11064
What is the second derivative of 125493903*o**3*p - o**2*p - 542*o*p + 7*o + 8*p - 20 wrt o?
752963418*o*p - 2*p
Find the second derivative of 355*f**3*z**3 + 222*f**3 + 11197*f**2*z**5 + 36786*f**2*z wrt z.
2130*f**3*z + 223940*f**2*z**3
What is the third derivative of 8304067*n**4 + 38*n**2 - 139176*n?
199297608*n
Find the third derivative of 454444533*z**4 - 6*z**2 - 5004512 wrt z.
10906668792*z
Differentiate -12625*h*o**2 + 11*h*o + 7202843*h - o**2 with respect to o.
-25250*h*o + 11*h - 2*o
Find the third derivative of 24355927*b**6 + 153323*b**2 - 22 wrt b.
2922711240*b**3
Differentiate 84510*d**2*h**2 + 18336613*d**2 - 27*h**3 with respect to h.
169020*d**2*h - 81*h**2
What is the second derivative of 53363956*g*p**4 - 1413*g - p**4 - 12*p - 428 wrt p?
640367472*g*p**2 - 12*p**2
What is the third derivative of 1396*s*t**3 - 8*s*t**2 + 354*s*t + 116*s + 27298*t**3 + 2*t**2 + 4 wrt t?
8376*s + 163788
Find the second derivative of 715780878*c**4 + 3841210*c + 23 wrt c.
8589370536*c**2
Find the third derivative of -24151*a*c**3 - 2*a*c**2 + 9*a + 185*c**3 + 22*c**2 - 7*c - 165 wrt c.
-144906*a + 1110
Find the third derivative of 2*v**6 + 1397325*v**3 + 2*v**2 - 6201473*v wrt v.
240*v**3 + 8383950
Find the second derivative of 38*m*q**2 + 13837590*m*q - 430349*q**2 wrt q.
76*m - 860698
What is the second derivative of -65694508*f**2 - 17*f - 1271204 wrt f?
-131389016
What is the third derivative of -4202*j**6*p - 262*j**5*p + 2*j**2*p + 893*j**2 - 321*j*p + 4*p - 10 wrt j?
-504240*j**3*p - 15720*j**2*p
Find the second derivative of -29745147*z**3 + 17243958*z - 1.
-178470882*z
What is the first derivative of -2*b**3*p + 53931*b**3*z + b**3 - 3*b**2*p - 184*b**2 - 7*p*z - 7*p + z wrt z?
53931*b**3 - 7*p + 1
What is the derivative of -1162*i**4 + 54909*i**3*s**3 + 7179*s**3 + 24618*s wrt i?
-4648*i**3 + 164727*i**2*s**3
Differentiate 11*a*t*v + 23*a*t - 400*a*v - 2*a - 544752*t*v - 2*t - 504*v + 85 with respect to t.
11*a*v + 23*a - 544752*v - 2
Find the third derivative of 760846*s**5 - 2*s**3 + 8859221*s**2 wrt s.
45650760*s**2 - 12
What is the second derivative of 593602*g**3 + 8612*g + 95?
3561612*g
What is the third derivative of 17313926*i**4*l + 2*i**3*l + 69*i**2*l - 72*i**2 - 13*i*l + 5*i wrt i?
415534224*i*l + 12*l
What is the third derivative of -5827090*h*q**3*t**3 - h*q**3*t**2 + 4*h*q**2*t - 52*h*q*t + 44*q**2*t**3 wrt q?
-34962540*h*t**3 - 6*h*t**2
Find the second derivative of 4294895*d**3*n**3 - 104*d**2*n**3 + 497*d*n + 143*n**3 - n**2 - 1387 wrt d.
25769370*d*n**3 - 208*n**3
Find the second derivative of 14*u**5 + 747*u**4 - u**3 + 3*u**2 + 3319150*u - 1.
280*u**3 + 8964*u**2 - 6*u + 6
What is the derivative of 124585443*g**2 + 332484352?
249170886*g
Find the third derivative of 8792890*s**3 + s**2 + 110*s - 29 wrt s.
52757340
Find the second derivative of -181757838*i**3 + 61774788*i.
-1090547028*i
Find the third derivative of -12697*q**3*t + 19*q**3*z + 4*q**2*t*z + 2*q**2*t - 2*q**2*z - 11*q**2 + 884*q*t wrt q.
-76182*t + 114*z
Find the second derivative of -187158081*i**2 + 290428060*i.
-374316162
What is the third derivative of -14310008*r**4 + 29783*r**2 - 5*r + 1?
-343440192*r
What is the third derivative of -205*v**6 - 3652*v**3 + 189*v**2 - 9748*v wrt v?
-24600*v**3 - 21912
Differentiate 317670*g**3*l*z + 2236*g**3 - 30*g*l*z - 12*g*z - 4*z - 33 with respect to l.
317670*g**3*z - 30*g*z
Find the first derivative of 37*y**2 - 76865*y + 874807.
74*y - 76865
Find the first derivative of 493*f**2 - 28360*f + 54772829.
986*f - 28360
What is the second derivative of 9878907*a**2*y - 3407227*a*y wrt a?
19757814*y
What is the third derivative of -32*q**4*y + 314198*q**3*y**3 - 18879*q**2*y**3 + 2*q**2 - 3*q*y**2 + 8*y**3 wrt q?
-768*q*y + 1885188*y**3
Find the third derivative of -2*a**3*v*y + 584*a**3*v - 141*a**3*y - 2*a**3 - 4*a**2*v*y + a**2*y + 16*a**2 + 5*a - 8*v*y - 5*y wrt a.
-12*v*y + 3504*v - 846*y - 12
Find the third derivative of 11104145*b**3*w**3 - b**3*w**2 + 6*b**3*w + b**2*d*w + 3*b*d*w**3 + 627*b*d + 21*b*w - 8*d wrt w.
66624870*b**3 + 18*b*d
Find the second derivative of -34*r*v**3 - 11*r*v**2 - 1040*r*v + r + 7015*v**2 - 1183*v wrt v.
-204*r*v - 22*r + 14030
Find the second derivative of -409381*u*z**3 + 3*u*z**2 - 164971220*u*z - 2*z**3 - 2*z**2 wrt z.
-2456286*u*z + 6*u - 12*z - 4
What is the third derivative of 448489438*c**3 + 374559299*c**2 wrt c?
2690936628
Find the second derivative of -236313589*i*r**2*x + 3*i*r*x**2 - 24*i*x**2 + 255717*r**2*x**2 - r**2 wrt x.
6*i*r - 48*i + 511434*r**2
Find the third derivative of 72580513*n**3*u**3 - 2277*n**2*u**3 - n**2 - 8*n*u**3 + 2*u**3 + 27*u + 11 wrt n.
435483078*u**3
What is the second derivative of -56*g**4 - 27*g**3 - 197*g**2 - 9173584*g?
-672*g**2 - 162*g - 394
What is the second derivative of 4682733*f**2 - 170197*f + 2 wrt f?
9365466
What is the first derivative of 99078655*b**3 + 47920067 wrt b?
297235965*b**2
Find the third derivative of 19*f**4*m**3 + 3462750*f**3*m**3 + 776174774*f**2*m**3 wrt f.
456*f*m**3 + 20776500*m**3
Find the second derivative of -66*z**5 - 4032*z**4 + 9*z**3 + 22298277*z.
-1320*z**3 - 48384*z**2 + 54*z
What is the second derivative of 118144461*v**3 - 2390*v - 141511?
708866766*v
Find the first derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
igit of l(1)?
4
Suppose -5*g = 3*l - 331, 2*l + 321 = 5*g - 0*l. What is the tens digit of g?
6
Suppose -4*k = -2*b + 6, b = 4*b + k - 16. Suppose -24 = -b*p + 96. What is the units digit of p?
4
Let j = -7 + 13. Let g(n) = -4*n + 2 + 4 + 5*n. What is the tens digit of g(j)?
1
Let m(i) = i**3 + 11*i**2 + 7*i + 11. What is the tens digit of m(-10)?
4
Let h(s) = 13*s**2 - 12*s**2 + 3 - s + 2*s + 3*s. Let u be h(-4). Suppose u*v = x - 17, x + v = -4*v - 7. What is the units digit of x?
8
Let u be (0 + 19)*(5 - 4). Let m = u - 0. Let l = -11 + m. What is the units digit of l?
8
Suppose -2*d = 1 - 5. Suppose -w + d = -0*w. Suppose -o + 4*k + k = -23, -2 = -w*o - k. What is the units digit of o?
3
Let y(k) = -2*k**3 + 4 + k + k**3 + 2*k**2 + k**2 + 3*k. What is the units digit of y(4)?
4
Let j = 84 + -47. What is the tens digit of j?
3
Suppose 46 = -2*a + 2*j, 3*j + 47 = -a - 2*j. Let v = a + 40. What is the units digit of v?
3
Suppose 5 - 2 = t. Suppose -n - 18 = -t*n. What is the units digit of 43/n + 2/9?
5
Let h be 22 + (-12)/(-5 - -1). Let v = h - 12. What is the units digit of v?
3
Let y = -3 - 5. What is the units digit of 33/44 - 18/y?
3
Suppose 0*n - 20 = -4*n. Let q be (-2 + 3 - 2)*3. Let f = n + q. What is the units digit of f?
2
Suppose 24 + 0 = -3*s. Let v(y) = -y**3 - 9*y**2 - 8*y + 3. Let x be v(s). Suppose 79 = 5*n - x*c, 3*n - 3*c = 2*n + 23. What is the units digit of n?
4
Suppose -j = 4*j. What is the units digit of -6 + 8 + (j - -22)?
4
Let b = 52 - 10. What is the tens digit of b?
4
Suppose -d - 4*d + q = -740, 5*d + 3*q - 740 = 0. What is the tens digit of d?
4
Let n = -26 - -91. What is the tens digit of n?
6
Let d = -25 - -41. Let c be 45/(-20)*d/(-6). Suppose 4*z + b - c = z, 0 = -3*z + b. What is the units digit of z?
1
Suppose -7*z + 2*f = -2*z - 44, -2*f = 4. Suppose x - 20 = -3*s, -x + z = -s - 0*s. Let v = -4 + x. What is the units digit of v?
7
Let h(d) = -3*d + 3. Let b be h(2). Let x = -1 + b. What is the units digit of ((-6)/x)/(2/4)?
3
Let h = -3 + 6. Suppose -g + 3*v - 17 = -2*g, -h*g - 5*v + 47 = 0. What is the tens digit of g?
1
Let t be (-3)/(-6) - 6/(-4). Suppose 4*v + 5*l - 60 - 6 = 0, -t*l = -5*v + 66. What is the units digit of v?
4
Let w(g) be the second derivative of g**5/60 + 5*g**3/6 + g**2/2 - g. Let p(u) be the first derivative of w(u). What is the units digit of p(0)?
5
Suppose 2*a + a - 102 = -2*m, 2*a - 3*m - 55 = 0. What is the tens digit of a?
3
Suppose -23 = -2*h + 99. What is the tens digit of h?
6
Let v = 17 + -3. What is the tens digit of v?
1
Let w(u) = u**2 + 7. Let f be w(6). Let m = 36 - 33. Suppose -m*x + f = 10. What is the units digit of x?
1
Let k be ((-8)/(-12))/((-4)/(-54)). What is the units digit of (k/2)/((-9)/(-18))?
9
Suppose -3*n = -12*n + 378. What is the units digit of n?
2
What is the tens digit of ((-364)/21)/((-2)/3)?
2
Suppose 27 = 2*r - 1. Let l = 15 - r. What is the units digit of l?
1
Let p be (9/(-2))/(6/12). Let x = 21 + p. What is the tens digit of x?
1
What is the tens digit of (2 - (-164 - 3))/(1/1)?
6
Suppose 0 = 3*j - 8 - 1. Suppose j*v = -v + 8. Suppose -3*y + 8 = 4*k - 14, -4*k = -v*y + 8. What is the units digit of y?
6
Suppose -5*t + p = -103, -4*t + 0*t = -p - 83. What is the units digit of t?
0
Let d(r) be the first derivative of 3*r**4/4 - r**3/3 - r - 3. Let k be d(2). Let p = k + -6. What is the units digit of p?
3
Let v(q) = q**2 - 4*q - 1. Let i be v(4). What is the units digit of i - (2 - 3) - -15?
5
Suppose 6*d = 139 - 19. What is the tens digit of d?
2
Let w be (-2 - -1)*1 - 4. Let h be -1 - 1 - (w - -3). Suppose h*s + 28 = 4*s. What is the units digit of s?
7
Let j = -6 - -8. Suppose f - 21 = 2*f + 4*s, j*s + 13 = -3*f. What is the units digit of 6 + 3*f/(-3)?
7
Let r be 2/7 - (-144)/(-14). Let f be 5/r + (-2)/(-4). Suppose f = -4*i + 2*i + 14. What is the units digit of i?
7
Let w = -42 - -122. What is the units digit of w?
0
Let o be 5 + (0 + 1 - 2). Let v be 36/(-15) - o/(-10). What is the units digit of -2*(7/v + 1)?
5
Let o(b) = b + 1. Let g be o(5). Let k = 8 - g. What is the units digit of k?
2
What is the units digit of (-2)/8 + (-231)/(-12)?
9
Let y = 62 - 43. Suppose 3*j = 4*j - y. What is the tens digit of j?
1
Suppose -3*u - 2*p - 1 + 3 = 0, 5*p = 4*u - 41. Let f(r) = -r**2 - 9. Let s(j) = -j - 1. Let y(h) = -f(h) + 4*s(h). What is the units digit of y(u)?
5
Suppose -4*c + 33 = -b, c + 3 = -3*b + b. Suppose -3*u = -15, -2*g + c*g - 85 = u. What is the tens digit of g?
1
Suppose -3 = -4*t + 1. Let p(w) = 3*w**3 - w**2 + 1. What is the units digit of p(t)?
3
Let h = 2 - 0. Suppose -5*n + 8 = -h. What is the units digit of n?
2
Let j = 22 + 41. What is the tens digit of j?
6
Suppose y - 2*x = x + 115, y - 135 = -x. What is the hundreds digit of y?
1
Suppose 3*m - 22 = -4. What is the units digit of m?
6
What is the tens digit of (-144)/(-10) - 12/30?
1
Let l(a) = 3*a**3 - 2*a**2 - a. Let i be l(-1). What is the units digit of i*1/2 - -13?
1
Let n = 115 - -259. What is the hundreds digit of n?
3
Let g be 45*2*(-2)/(-6). Suppose -2*w = -3*p - 22 - 8, 2*w - 4*p = g. What is the units digit of w?
5
Let b be (2 - 4)*(-10)/4. Suppose 5*o + 3*d = 37, -b*o = -0*d + 2*d - 33. What is the units digit of o?
5
Suppose -5*f + 35 = 110. Let s = -13 - f. What is the units digit of s?
2
Let x = -5 - -5. What is the units digit of 4 - 4/(x - -2)?
2
Suppose 4*n - 5 = 7. Let d(i) = i**3 + 3*i**2 + 2*i. Let p be d(-2). Suppose n*z + 6*g - 3*g - 9 = p, -4*z - 5*g + 7 = 0. What is the units digit of z?
8
Suppose 0*m + 10 = 5*m. Suppose 5*r = v - 116, m*v = r - 2*r - 32. Let n = r - -37. What is the tens digit of n?
1
Suppose -3*t = z - 21, 4 + 33 = 2*z + 5*t. Suppose 240 = z*l - 2*l. What is the tens digit of l?
6
What is the units digit of 52/2 - (-2)/(2/2)?
8
Let h = 14 + -5. What is the units digit of h?
9
Let v(y) be the third derivative of -y**9/30240 - y**6/720 - y**5/30 - 3*y**2. Let i(h) be the third derivative of v(h). What is the units digit of i(-1)?
1
Suppose -3*u + 10*u - 217 = 0. What is the units digit of u?
1
Let r = -85 + 317. What is the tens digit of r?
3
Let r(o) = -2*o**3 - 18*o**2 - 6*o - 23. What is the units digit of r(-9)?
1
Let c(g) = 49*g**2 + g - 1. What is the tens digit of c(1)?
4
Let t(m) = m**2 + 36. Let r be t(0). Let h = -20 + r. What is the units digit of h?
6
Let r(t) = -7*t. Let p = -2 - -24. Suppose c + p = -v - 4*c, 0 = 4*v + c + 12. What is the units digit of r(v)?
4
Let y be (258/24)/(2/(-8)). Let i = y + 82. Let g = i - 25. What is the units digit of g?
4
What is the units digit of (314/2*-1)/(-2 + 1)?
7
Suppose 0 = -4*w - 2*o - 21 - 1, 0 = 4*w + 4*o + 32. Let z(d) be the third derivative of d**5/60 + d**4/24 - d**2. What is the units digit of z(w)?
6
Let v = 5 + 5. What is the tens digit of v?
1
Let b(g) = g**2 - 3*g + 5. Let o be b(5). Let a = o + -8. Suppose -a*z = -3*z - 16. What is the units digit of z?
4
Let s(g) = -2*g - 10. Let d = 6 - 13. Let o be s(d). Suppose 0 = o*q - 19 - 5. What is the units digit of q?
6
Let x(g) = 3*g**2 - g + 1. Let f be x(-2). Suppose 0 = -4*i - f + 83. What is the tens digit of i?
1
Suppose -4*r = r. Suppose -p + k + 46 = 17, r = 5*p - 4*k - 141. What is the tens digit of p?
2
What is the units digit of (-1 + -2 + (-240)/(-6))*5?
5
Let c = 17 - 15. Suppose 0 + 6 = 4*q + 3*j, 0 = 4*q - c*j - 16. What is the units digit of q?
3
Suppose -20 = 4*u + 4. Let f be 4/(-12)*3*2. Let g = f - u. What is the units digit of g?
4
Let s(a) = a - 6. Let u be s(8). Suppose -h + 2*y - 3*y = 3, -h - u*y - 8 = 0. Suppose 10 = -n + h*n. What is the units digit of n?
0
Suppose 0 = -a - 2*m + 123, 3*a - a - 249 = -m. What is the tens digit of a?
2
Suppose -3*y + 5*y - 10 = 0. Suppose y*l = s + 1, s = -5*l - s - 2. Suppose a - 4*d = -7, -3*a + l*a - d + 5 = 0. What is the units digit of a?
1
Let h be (-1)/(3/(-5*3)). Suppose 28 + 17 = -h*b. Let m = b + 15. What is the units digit of m?
6
What is the units digit of (-30)/9*(-315)/10?
5
What is the units digit of 80 + 2 + -2 - 3?
7
Suppose -7*h + 111 = -6*h. What is the hundreds digit of h?
1
Let x = -2 + 6. Let t = x + -3. What is the units digit of (1 + t)/(1/3)?
6
Suppose -2*d + 4*p + 28 = 0, 5*p - 2*p + 31 = 4*d. Suppose -x + 2*m + 53 = 0, 212 = d*x
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in 20*m**3 + 8665*m**2 + 45*m**3 - 8665*m**2.
65*m**3
Collect the terms in 174*a**3 + 742*a**3 + 405*a**3 - 139*a**3.
1182*a**3
Collect the terms in 841030*k**2 - 420513*k**2 - 420513*k**2.
4*k**2
Collect the terms in 243*u**2 + 0*u - 68*u**2 + 121*u**2 - 2*u.
296*u**2 - 2*u
Collect the terms in 130 - 269 + 133 + 7*m**3.
7*m**3 - 6
Collect the terms in -205*p + 134 + 135 - 269.
-205*p
Collect the terms in 63 + 186*k - 98*k - 63 + 157*k.
245*k
Collect the terms in 207*s - 5220*s + 23856*s.
18843*s
Collect the terms in 21834*o + 21 - 11 - 21833*o - 10.
o
Collect the terms in 15*x**2 + 1566*x + 1572*x - 3138*x.
15*x**2
Collect the terms in -21 - 3*d + 4*d - 17 - 10*d + 39.
-9*d + 1
Collect the terms in 3*c**2 - 6*c**2 - 15849*c + 0*c**2.
-3*c**2 - 15849*c
Collect the terms in -200*j + 11*j**2 + 6*j**2 - 31*j**2 + 13*j**2 + 642*j.
-j**2 + 442*j
Collect the terms in 6 + 2906*f - 6.
2906*f
Collect the terms in -3*j**3 - 3 - 27*j**3 + 2*j**3.
-28*j**3 - 3
Collect the terms in 838*z - 210*z - 207*z - 202*z - 208*z.
11*z
Collect the terms in -21425*m + 21425*m + m**3.
m**3
Collect the terms in 18*g**2 - 15*g**2 - 16*g**2 - 10*g**2 + 18*g**2.
-5*g**2
Collect the terms in 31*r**2 - 41464 + 41464.
31*r**2
Collect the terms in 25 + 34 - 8*u + 38 - 127 + 25.
-8*u - 5
Collect the terms in 3827*z - 7657*z - 4 - 12 + 3830*z + 2*z**2.
2*z**2 - 16
Collect the terms in 127*u**3 - 181*u**3 - 122*u**3 - 197*u**3.
-373*u**3
Collect the terms in 57*t + 167*t + 14*t - 31*t.
207*t
Collect the terms in -4 + 7 - 5 + 1 + 854*g**2.
854*g**2 - 1
Collect the terms in -6 - 20 - 1 - 701*g**2 + 27.
-701*g**2
Collect the terms in 53*n**2 + 50*n**2 + 111*n**2 - 36*n**2.
178*n**2
Collect the terms in 312*a**3 - a + a + 338*a**3 + 333*a**3 - 985*a**3.
-2*a**3
Collect the terms in 10*b - b**2 + 16*b**3 - b**2 + 2*b**2.
16*b**3 + 10*b
Collect the terms in 5*w**2 - 3 + 6*w**2 + 2*w**2 - 5*w**2 + 5*w**2.
13*w**2 - 3
Collect the terms in -922*z + 1497*z + 4 - 4.
575*z
Collect the terms in 41*z**2 + 2 + 5*z - 11*z - 54*z + 69*z**2.
110*z**2 - 60*z + 2
Collect the terms in 26404*r**2 - 52810*r**2 + 26406*r**2 + 10*r**3.
10*r**3
Collect the terms in -20*v**2 + 40*v**2 - 6*v**2 - 19*v**2.
-5*v**2
Collect the terms in 34*i**2 + 0 - 3*i**2 - 86*i**2 + 18*i**2 + 0.
-37*i**2
Collect the terms in -16*b + 89*b + 159*b.
232*b
Collect the terms in -3 - 3*d + 3*d + 5700*d**3 - 5687*d**3.
13*d**3 - 3
Collect the terms in -177*b**2 + 51*b**2 + 50*b**2 + 63*b**2.
-13*b**2
Collect the terms in 2*r**3 + 6 + 3 - 59 - 96.
2*r**3 - 146
Collect the terms in -7738*g + 3254*g - 4949*g - 2645*g.
-12078*g
Collect the terms in 477*n - 25895*n - 19408*n.
-44826*n
Collect the terms in -1279*s - 12 + 437*s + 3 + 10.
-842*s + 1
Collect the terms in -27 - 84*t + 87*t + 162.
3*t + 135
Collect the terms in 90*w**2 + 65*w - 82*w**2 - 35*w - 30*w.
8*w**2
Collect the terms in 194*r**3 - 102*r**3 - 55*r**3 - 58*r**3.
-21*r**3
Collect the terms in 510*v - 7 + 10 - 516*v.
-6*v + 3
Collect the terms in 24*i**2 + 4898 - 2451 + 3*i - 2447.
24*i**2 + 3*i
Collect the terms in 18*u**3 - 18*u**2 - 38*u**2 - 22*u**3.
-4*u**3 - 56*u**2
Collect the terms in -19 - 220*j + 8*j**2 - 7 + 220*j + 7.
8*j**2 - 19
Collect the terms in 4*j - 737*j**2 + 737*j**2 + 22*j**3 + 3*j.
22*j**3 + 7*j
Collect the terms in -5 + 4 - 3 + 41155*x - 41247*x + 4.
-92*x
Collect the terms in -8*a + 12*a + 10*a - 37*a - 23*a.
-46*a
Collect the terms in 5*s**3 + 18*s - 18*s + 274*s**2 - s**3.
4*s**3 + 274*s**2
Collect the terms in -6*t + 39*t - 34*t - 10 + 10.
-t
Collect the terms in 0*h**2 - h**2 + 8*h**2 - 17*h**2 + 5*h**2.
-5*h**2
Collect the terms in 2*v + 1 + 1 + 3 - 2*v**2.
-2*v**2 + 2*v + 5
Collect the terms in -9387 + 19*m**3 + 18*m**3 + 2*m - 36*m**3.
m**3 + 2*m - 9387
Collect the terms in 1986*z + 2032*z - 4019*z.
-z
Collect the terms in 2467*b - 5008*b + 2485*b.
-56*b
Collect the terms in 1909*b - 1 - 1909*b + 1 + 415*b**3.
415*b**3
Collect the terms in 6641285*d + 5 - 6641286*d - 5.
-d
Collect the terms in 1 - 795*f - 788*f - 1 + 1586*f.
3*f
Collect the terms in -4*c**3 - 58*c - 4*c**3 - 6*c**3 + 89*c.
-14*c**3 + 31*c
Collect the terms in 7677 - k + k + k - 3066.
k + 4611
Collect the terms in 4 - 4 - 20558*c**2.
-20558*c**2
Collect the terms in 0*p - 245 + 0*p + 232 + p + 13.
p
Collect the terms in 865*a**2 - 812*a**2 - 620*a**2 - 2000*a**2.
-2567*a**2
Collect the terms in 2*p**2 - 7*p**2 + p**2 - p**2.
-5*p**2
Collect the terms in -18 + 118*p**2 + 10*p**3 - 71*p**3 - 118*p**2.
-61*p**3 - 18
Collect the terms in -n + 8*n + 126 + 4632.
7*n + 4758
Collect the terms in 81*m + 344*m + 575*m + 336*m.
1336*m
Collect the terms in 1566*m**2 + 6 - 1516*m**2 - 3 + 39*m**3.
39*m**3 + 50*m**2 + 3
Collect the terms in 2 + 2 - 6*o**2 - 4 - 379*o + 2*o**3.
2*o**3 - 6*o**2 - 379*o
Collect the terms in -21*t**3 - 47*t + 47*t - 13*t**3 + 29*t**3.
-5*t**3
Collect the terms in 4609 - 4609 + 2332*x**2.
2332*x**2
Collect the terms in 1 - 2 + 48*x**2 + 10*x**2.
58*x**2 - 1
Collect the terms in -106 - 1619*f + 106 + 1624*f.
5*f
Collect the terms in 8*s + 5*s - 13*s - 1363*s**2.
-1363*s**2
Collect the terms in -15*p - 6592 + 6592.
-15*p
Collect the terms in 79*d - 248*d + 81*d + 84*d.
-4*d
Collect the terms in -49*r + 24 - 19*r + 44*r - 21.
-24*r + 3
Collect the terms in f**2 + 1 - 2 + 9014*f + 0*f**2.
f**2 + 9014*f - 1
Collect the terms in -5*p**3 + 19*p**3 - 6*p**3 + 8*p**3 + 12*p**3 - 2*p.
28*p**3 - 2*p
Collect the terms in 3861*c + 0 + 3871*c - 7731*c + 0.
c
Collect the terms in -f**2 + 3639 - 7298 + 2*f**2 + 3659.
f**2
Collect the terms in 7640 + 4*x**2 + x - x.
4*x**2 + 7640
Collect the terms in 452 + 449 - 3*b**3 + 457 - 1358.
-3*b**3
Collect the terms in 624*a**3 - 2*a**2 + 716*a**3 + 2*a**2 - 1279*a**3.
61*a**3
Collect the terms in -149 - 132 + 281 - 377*b.
-377*b
Collect the terms in -45*n + 2 + 0 + 31*n**2 + 7*n.
31*n**2 - 38*n + 2
Collect the terms in 8095 - 8095 + 25*a.
25*a
Collect the terms in -65 + 14*r - 32 - 39 + 136.
14*r
Collect the terms in 1386*n**2 - 1314*n**2 + 87 - 87.
72*n**2
Collect the terms in 3018*m**2 + 1 + 1 - 2 - 6050*m**2 + 3031*m**2.
-m**2
Collect the terms in 10765*q**2 - 21534*q**2 + 10767*q**2.
-2*q**2
Collect the terms in -313 + 622 - 309 + 117*d**3 - 779*d**3.
-662*d**3
Collect the terms in 7 - 3 + 9*n - 10 + 6.
9*n
Collect the terms in -49 + 49 + 5*t + 4*t + 30*t.
39*t
Collect the terms in 411*z + 386*z + 246*z.
1043*z
Collect the terms in -2419*q + 1226*q - 14 + 1185*q + 14.
-8*q
Collect the terms in -307983*z + 307983*z + 1 - 6*z**3 + 1.
-6*z**3 + 2
Collect the terms in -2*a + a + 3*a + 19 + 58*a**2.
58*a**2 + 2*a + 19
Collect the terms in -21405*z**3 + 10 + 21407*z**3 + 15.
2*z**3 + 25
Collect the terms in -183*s + 607*s + 1921*s.
2345*s
Collect the terms in -8*j + 10*j + 3816 - 7747 + 3931.
2*j
Collect the terms in -121*r + 69*r - 58*r**3 + 41*r - 147*r**3.
-205*r**3 - 11*r
Collect the terms in -365*r + 179*r + 201*r.
15*r
Collect the terms in 74*g - 34*g + 35*g**3 - 41*g.
35*g**3 - g
Collect the terms in 3*i**2 + 2485560*i - 2485560*i.
3*i**2
Collect the terms in 4453 - 2224 - 2*r**3 - 2229.
-2*r**3
Collect the terms in i**3 - 11*i**3 + 23*i**3 - 32*i**3 - 22*i**3.
-41*i**3
Collect the terms in 3*p - 1 - 87*p**2 - 55*p**3 - 3*p.
-55*p**3 - 87*p**2 - 1
Collect the terms in -2129*k - 2134*k - 2141*k + 6404*k + 19 - 2*k**2 - k**2.
-3*k**2 + 19
Collect the terms in -3*i**2 + 1843*i**3 - i**2 + 4*i**2 - 1841*i**3.
2*i**3
Collect the terms in 180*t**2 + 16*t**2 + 38*t**2 + 54*t**2.
288*t**2
Collect the terms in -26*s**3 + 29*s**2 + 18*s**3 - 33*s**3.
-41*s**3 + 29*s**2
Collect the terms in 8 - 231*x**2 - 20 + 10.
-231*x**2 - 2
Collect the terms in -62*t + 191*t - 59*t - 71*t.
-t
Collect the terms in -135*c + 42*c + 43*c + 43*c.
-7*c
Collect the terms in -21771*u + 43529*u - 21781*u.
-23*u
Collect the terms in 19 - 19 - 370*s - 54*s.
-424*s
Collect the terms in 2*g**2 - 54 + 31 + 20*g + 23 - 20*g.
2*g**2
Collect the terms in 59*q**2 + q**2 - 28*q**2 + 5*q**2.
37*q**2
Collect the terms in -569*u - 596*u - 161*u - 164*u.
-1490*u
Collect the terms in -69940*x**2 + 3*x**3 - 3*x + 2*x + 69940*x**2 + x.
3*x**3
Collect the terms in -29*b - 30*b + 85*b - 33*b + 64.
-7*b + 64
Collect the terms in 4 + 69*a - 111*a - 80*a.
-12
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) -0.89 (c) -0.27
c
Which is the third biggest value? (a) 3/11 (b) 0.3 (c) 4
a
What is the biggest value in 7, 3/5, 17, 8?
17
Which is the fourth biggest value? (a) -5 (b) 2/81 (c) -3 (d) -4
a
What is the second biggest value in -69, 3, -1/7?
-1/7
What is the second smallest value in 1, -3/2, -2?
-3/2
Which is the biggest value? (a) 1/2 (b) 4 (c) -5/6
b
Which is the fourth smallest value? (a) 1 (b) 0.5 (c) 0.3 (d) 17/3
d
Which is the second smallest value? (a) -1.361 (b) -4 (c) 1/3
a
Which is the third smallest value? (a) 5 (b) -2.75 (c) -2/3 (d) 0.5
d
What is the fourth smallest value in 1/11, 0.4, 2/11, -3/8?
0.4
Which is the biggest value? (a) 0.3 (b) 14 (c) 5.6
b
Which is the third smallest value? (a) -5 (b) 2/33 (c) -4
b
Which is the smallest value? (a) 24 (b) -4 (c) -6
c
Which is the third smallest value? (a) 2/5 (b) -5 (c) 5/4 (d) 4 (e) 1/7
a
Which is the fourth biggest value? (a) -0.3 (b) -3 (c) -0.4 (d) 7/11 (e) 1/5
c
What is the biggest value in 0.2, -414, 2/55?
0.2
What is the fourth smallest value in 2/11, -0.2, -175, 5, 1?
1
Which is the second smallest value? (a) -3/2 (b) 28/29 (c) -1
c
Which is the biggest value? (a) 1 (b) 1/12 (c) 0.067
a
Which is the smallest value? (a) 2 (b) 38 (c) 77
a
Which is the third smallest value? (a) 0.1 (b) -2/9 (c) -0.005
a
What is the third biggest value in 5, -0.1, -0.4, 2/513?
-0.1
What is the second biggest value in 2/5, -8/13, -19, -1/6?
-1/6
What is the smallest value in 3, -1, 5, 0.09?
-1
What is the second smallest value in 31, -2, 2.2?
2.2
Which is the third smallest value? (a) 3/5 (b) 0.01 (c) -1/3 (d) -0.5
b
What is the third biggest value in 140, -1/2, -2/3?
-2/3
What is the third biggest value in 4, -2/11, 14.8?
-2/11
Which is the second biggest value? (a) -0.1 (b) -0.4 (c) 202 (d) 2/13
d
What is the biggest value in 3, 1/3, 0.26?
3
What is the third biggest value in -51, 2/15, -1/4, 2?
-1/4
Which is the second biggest value? (a) -26 (b) 5 (c) 7
b
What is the third biggest value in 4, 2/9, 2, 0.07?
2/9
What is the third smallest value in -2/3, -3, -1, -16, -0.3?
-1
Which is the fifth biggest value? (a) 5 (b) -5 (c) 1/10 (d) 3/16 (e) 7
b
What is the second biggest value in 4/5, -0.1, -0.037, 1?
4/5
What is the third smallest value in 1, -5, 4/113?
1
What is the third biggest value in 2, 2/91, -3?
-3
Which is the fourth smallest value? (a) 2/11 (b) -2 (c) -0.018 (d) 2
d
Which is the third smallest value? (a) -2435 (b) -5 (c) -1
c
Which is the second smallest value? (a) 6 (b) 5 (c) 0 (d) 5/2 (e) -10
c
Which is the fifth biggest value? (a) -0.09 (b) 0.4 (c) -2/3 (d) 0 (e) -1.5
e
What is the second smallest value in -1, -5, 6/23, 4/3?
-1
Which is the fourth biggest value? (a) -5 (b) 0.5 (c) 2/13 (d) 238/11
a
What is the third smallest value in 5, -1/28, -123?
5
What is the fourth smallest value in -6, 1, 24, -3, 2/5?
1
What is the third biggest value in 3/2, -2/19, -0.14, -0.4?
-0.14
Which is the second smallest value? (a) -0.7 (b) -2/171 (c) -3 (d) 2
a
What is the smallest value in -4, 3, 2/99, -1?
-4
Which is the third smallest value? (a) 0.1 (b) -0.2 (c) -870
a
Which is the third biggest value? (a) 72 (b) 3 (c) -5
c
What is the second biggest value in 0.14, -0.1, -0.5, -7, 0.4?
0.14
Which is the fifth smallest value? (a) 6 (b) 1/42 (c) -1 (d) -2/13 (e) -0.2
a
Which is the third smallest value? (a) 1/3 (b) -1/4 (c) -65
a
What is the smallest value in 3, -2/333, 3/5, -2?
-2
Which is the smallest value? (a) -0.3 (b) 258 (c) -2
c
What is the third smallest value in 0.216, 1, 2/17?
1
Which is the fourth smallest value? (a) -12 (b) -56 (c) 0.4 (d) -2
c
Which is the biggest value? (a) 3632 (b) 0.1 (c) 0.3
a
Which is the fifth smallest value? (a) -3 (b) 86 (c) -1 (d) 2 (e) 2/9
b
Which is the second smallest value? (a) 0.08 (b) -3 (c) 5
a
What is the biggest value in -1/3, 0, -47?
0
What is the fifth biggest value in 2/3, 0.146, 0, 1, 0.5?
0
Which is the second smallest value? (a) 0.1 (b) -3/8 (c) -2 (d) 0 (e) 5
b
What is the biggest value in -0.2, -1, -4.9?
-0.2
Which is the third biggest value? (a) -0.2 (b) 5.3 (c) -0.4
c
Which is the second biggest value? (a) -4 (b) -8.1 (c) -4/5
a
What is the second smallest value in -0.3, -4/3, -0.12, 3/7?
-0.3
Which is the fourth biggest value? (a) -0.5 (b) 0.2 (c) -1/280 (d) -2
d
What is the fourth smallest value in 1/2, -0.1, -3, -1/12?
1/2
What is the third smallest value in 0.5, -0.6, 0.2, -0.2?
0.2
Which is the smallest value? (a) -0.112 (b) -1 (c) -0.1 (d) 2/3 (e) -4
e
What is the third smallest value in -0.3, -2/15, 3, 2?
2
What is the fourth smallest value in 0.04, -2/5, -0.3, 5?
5
What is the second biggest value in -2/5, 16, -2/13, -0.1?
-0.1
Which is the third biggest value? (a) -1 (b) 3 (c) 2/19
a
What is the third biggest value in 2/19, 127, -0.3?
-0.3
What is the biggest value in -1/6, -436, 3, -9, -0.2?
3
Which is the third smallest value? (a) 14/3 (b) -0.5 (c) 1/11 (d) -3
c
What is the third biggest value in 6, -0.18, -8?
-8
What is the third biggest value in -0.2, -8, -9, 0?
-8
Which is the biggest value? (a) -1/10 (b) -4 (c) 4/41
c
Which is the smallest value? (a) -2/7 (b) -3.1 (c) 4 (d) 5
b
What is the third smallest value in 19, -2/11, 0.3?
19
Which is the third biggest value? (a) 0.1 (b) -3 (c) 3/5 (d) 4 (e) -8
a
Which is the smallest value? (a) 11 (b) -4 (c) 3/20
b
Which is the third smallest value? (a) 3 (b) 1 (c) 0.2 (d) 2/3
b
Which is the smallest value? (a) 48 (b) -1 (c) 4
b
Which is the biggest value? (a) 0 (b) -3/10 (c) 2 (d) 3
d
What is the third smallest value in -0.4, -7, -10.7?
-0.4
Which is the fourth biggest value? (a) 41.3 (b) 1/4 (c) -2/5 (d) -5/6
d
What is the fourth biggest value in 2, -7, 0.2, 0.4, 5?
0.2
What is the second smallest value in 0.29, 0.1, 1/3, -4?
0.1
Which is the third biggest value? (a) -2/11 (b) -113 (c) -0.4
b
Which is the second smallest value? (a) 4 (b) 5 (c) -3 (d) 0.0028 (e) -5
c
What is the second biggest value in 0.2, 141, 1, 0.5?
1
Which is the second biggest value? (a) 1/4 (b) 26 (c) -5 (d) 0.19
a
Which is the third smallest value? (a) 0.1 (b) 1.97 (c) -4
b
What is the second biggest value in -7, 11, -0.1?
-0.1
Which is the third biggest value? (a) 1 (b) -4 (c) 0.18 (d) 4
c
What is the fourth smallest value in -0.3, -2/15, 12, 6?
12
What is the fourth biggest value in -1/23, -0.2, 4, -1?
-1
Which is the third biggest value? (a) 3 (b) 0.4 (c) -8/9
c
What is the fifth biggest value in 1/3, -3/2, -2, -69, 3?
-69
What is the second biggest value in 9/5, 1289, 0.3?
9/5
Which is the third biggest value? (a) -7 (b) -2 (c) 1/5
a
Which is the third smallest value? (a) 12/5 (b) 1 (c) -7
a
What is the second smallest value in -3/2, 2, -6/133?
-6/133
Which is the second smallest value? (a) -174 (b) 3.9 (c) 0
c
What is the second biggest value in 0.5, -4, -10, -3?
-3
What is the biggest value in -1/5, 2, 126, -2/3?
126
What is the fourth biggest value in 0.2, 1/6, 12/11, 2?
1/6
What is the second biggest value in 0.5, 0.073, -2?
0.073
What is the second smallest value in 216, -1/8, -14?
-1/8
What is the biggest value in -0.2, -9, 5, 2/3?
5
What is the fourth smallest value in 13, 1, -8/3, 0.4, -0.4?
1
Which is the third biggest value? (a) -2/9 (b) -0.1 (c) -53
c
What is the fourth smallest value in -5, 14, 23, -2/7?
23
Which is the third smallest value? (a) 5 (b) 6.8 (c) 2/7 (d) 0.05 (e) 4
e
What is the second smallest value in 5, -948, 3/11, 0.4?
3/11
Which is the second smallest value? (a) -3/7 (b) 3 (c) 5/6
c
Which is the smallest value? (a) 3/5 (b) -8 (c) -0.15 (d) -6
b
Which is the second biggest value? (a) 2 (b) -5 (c) -1/19
c
Which is the smallest value? (a) -0.01 (b) -2/13 (c) 2
b
What is the smallest value in 0.4, 255/2, -0.6?
-0.6
What is the third biggest value in 1/4, 5, -118?
-118
What is the third smallest value in -23/32, -2/15, -1/9?
-1/9
What is the second smallest value in -89, 0.5, 4, 2/9?
2/9
What is the smallest value in -7, -2/15, -1/19, -0.3, -4?
-7
What is the third biggest value in -3, 0.3, 2/3?
-3
Which is the second smallest value? (a) -2
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of 568*k + 201*k + 57 + 164*k - 398 + 239*k wrt k?
1172
Suppose -595 - 585 = -10*g. Let l(i) be the first derivative of -12*i**2 + g*i**4 - 241*i**4 + 115*i**4 - 33. Find the second derivative of l(s) wrt s.
-192*s
Let n(o) = -o**3 + o**2 + o - 1. Let j(a) = -422*a**5 + 9*a**3 - 11*a**2 - 9*a + 228. Let x(w) = -j(w) - 9*n(w). What is the third derivative of x(z) wrt z?
25320*z**2
Let x(y) = -y + 1. Let c be (-1 - 63/(-6))*2. Let a(g) = -c - 7*g + 13 - g + 12. Let w(u) = 2*a(u) + 6*x(u). Differentiate w(k) with respect to k.
-22
Let y(i) be the third derivative of -4619*i**6/120 + 47*i**5/12 - i**4/12 - 5*i**3/3 - 577*i**2. What is the third derivative of y(t) wrt t?
-27714
What is the third derivative of -640*l**2 + 58*l - 255*l - 4 + 63*l - 13760*l**6 + 63*l + 70*l wrt l?
-1651200*l**3
Let t(p) be the second derivative of 1 - 65/2*p**2 + p + 20/3*p**3. What is the first derivative of t(r) wrt r?
40
Let g(b) be the third derivative of b**7/105 - b**6/2 - b**5/5 - 2*b**4 - 1135*b**2. What is the third derivative of g(n) wrt n?
48*n - 360
Let t(o) be the first derivative of 6*o**4 + 1/2*o**2 + 2/3*o**3 - 77 - 11*o. Find the second derivative of t(a) wrt a.
144*a + 4
Let q(m) = -3*m + m + 24 - m**2 - 2*m - 17. Let j be q(-5). What is the third derivative of -y**6 + 4*y**j + 9*y**6 + 2*y**6 wrt y?
1200*y**3
Find the first derivative of -45454 + 1013*s + 23167 + 23028 wrt s.
1013
Let w(f) be the third derivative of -f**9/252 + 59*f**6/120 - 143*f**5/60 + 7341*f**2. Find the third derivative of w(u) wrt u.
-240*u**3 + 354
Let r(g) be the third derivative of 3*g + 13/120*g**6 + 0*g**3 + 0 - 21*g**2 + 0*g**4 - 23/15*g**5. What is the third derivative of r(u) wrt u?
78
Let a(u) = -2*u. Let b be a(-1). Suppose 34 = -b*s + 70. What is the third derivative of -7*n**5 + 0*n**5 + 12*n**4 - 12*n**4 + s*n**2 wrt n?
-420*n**2
Let j(h) be the second derivative of -3*h**7/70 - 47*h**3/3 - 43*h**2/2 + h + 1. Let y(x) be the first derivative of j(x). Differentiate y(n) wrt n.
-36*n**3
Let u(g) = 324*g**2 + 318. Let b(s) = -325*s**2 - 311. Let o(x) = -7*b(x) - 6*u(x). What is the first derivative of o(i) wrt i?
662*i
Let o = -149 - -152. What is the derivative of 9286*n**o - 45 - 9286*n**3 - 32*n**4 - n**2 wrt n?
-128*n**3 - 2*n
Let m(j) = j - 4. Let s be m(12). Let l be 118 + -1*s/4. Differentiate -34 - 36 - 43 - 19*o + l with respect to o.
-19
Let j(c) be the first derivative of 2*c**5 - 33*c**4/2 - 823*c**2 + 2749. What is the second derivative of j(o) wrt o?
120*o**2 - 396*o
Let s(u) be the third derivative of -29*u**6/30 - u**4/24 + 1471*u**3/6 - u**2 - 96*u. What is the first derivative of s(w) wrt w?
-348*w**2 - 1
Suppose 0 = 5*n - 101 - 224. Find the first derivative of -1050*z**2 + n + 1050*z**2 - 39*z**4 wrt z.
-156*z**3
Suppose 3*u - 6*u = -12. Suppose -10*p = -u*p - 78. What is the first derivative of -5*v + 22 + p*v - 5*v wrt v?
3
Let s(u) = -39261*u + 5803. Let p(c) = -13087*c + 1915. Let l(b) = 8*p(b) - 3*s(b). What is the derivative of l(i) wrt i?
13087
What is the third derivative of -1871961*w + 4128*w**4 + 935978*w + 935980*w + 16 - 37*w**2 wrt w?
99072*w
Find the third derivative of 45*x + 28*x**2 + 131*x**4 + 1527*x**3 - x**5 - 44*x - 131*x**4 wrt x.
-60*x**2 + 9162
Let t(l) be the first derivative of 691*l**3/3 - 9185*l**2/2 - 6129. Find the second derivative of t(u) wrt u.
1382
Let o(c) be the first derivative of 12 + 34*c + 10 - 2*c**4 - 6*c**4 - 26*c. What is the derivative of o(z) wrt z?
-96*z**2
Let j(s) be the third derivative of 0*s - 103/6*s**3 - 41/8*s**4 + 38*s**2 + 0. Differentiate j(l) wrt l.
-123
Let x(n) = 1302*n - 1277. Let l(m) = -26046*m + 25542. Let b(j) = -4*l(j) - 81*x(j). Differentiate b(q) wrt q.
-1278
Let a(i) = -16*i + 5. Let r be a(0). Find the third derivative of 28*y**3 + 33*y + 20*y**2 - 21*y**2 - 28*y**3 - 19*y**r wrt y.
-1140*y**2
Let n(p) = -p**2 + 1. Let m = -565 - -568. Let d(r) = -50*r**4 - 3*r**3 - 112*r**2 - 3. Let s(h) = m*n(h) + d(h). What is the third derivative of s(b) wrt b?
-1200*b - 18
Suppose 5*y + 3*r - 153 = 0, -4*y - 4*r + 39 = -85. Suppose -2*c + y = 16. Differentiate -66*b**2 + 37*b**3 + c + 8 + 66*b**2 with respect to b.
111*b**2
Suppose -173*l - 9*l + 161 = -203. Let x(h) be the first derivative of -7*h + 0*h**3 - 7 - 7/2*h**4 + 0*h**l. Find the first derivative of x(z) wrt z.
-42*z**2
Suppose -5*g = 3*k, 0 = -g - 3*g + 6*g. Let z(b) be the third derivative of 1/6*b**3 - 23/24*b**4 + 0 + k*b + 24*b**2. Differentiate z(f) wrt f.
-23
Suppose 0 = -2*v + 4. Find the third derivative of -10*y**v - 6*y**2 - 5*y**2 - 24*y**4 + 9*y**2 wrt y.
-576*y
Let z(p) be the third derivative of p**5/30 + p**3/2 + 2*p**2. Let k be z(0). Find the first derivative of -5*t - 16 + 26*t + k + 25*t wrt t.
46
Let x(q) be the first derivative of 933*q**5/5 - 3*q**4/2 - 2901*q**3 - 1140. What is the third derivative of x(h) wrt h?
22392*h - 36
Let u be (-7 - (2 - 0))/((-14)/28). Suppose -3*l - 6*l = -u. What is the third derivative of 22*s**l - 581*s + 8*s**6 + 581*s wrt s?
960*s**3
Let k be ((-4)/12)/(11/(-132)). Differentiate 57*z**4 - 15 + 7*z**4 - 5*z**k + 25*z**4 wrt z.
336*z**3
Suppose t = -2*t + 15. Suppose -5*s - 61 = -4*w, t*s - 11 + 34 = 2*w. What is the second derivative of 5*c**3 - w*c + 4*c**3 - 9*c**3 - 21*c**4 wrt c?
-252*c**2
Let m be (0 + 3/(-2))*4. Let c(y) = 1 + 2 - 13 + 0 + 9. Let g(a) = 18*a + 15. Let x(o) = m*c(o) - g(o). Differentiate x(s) wrt s.
-18
Let p(o) be the third derivative of 0*o - 10*o**2 + 71/6*o**3 + 2*o**4 + 0. Differentiate p(j) wrt j.
48
What is the third derivative of 329*j**3 + 645*j**3 + 48*j**3 + 1880*j**2 - 4 + 4 wrt j?
6132
Let h(k) = k**3 - 15*k**2 - 16*k + 6. Let w be h(16). Suppose 0*j + w = j. Find the third derivative of -13*q**j + 3*q**6 - 24*q**2 - 13*q**6 + 8*q**2 wrt q.
-2760*q**3
Let n(y) be the third derivative of -31/8*y**4 + 0 + 22*y**2 - 13/6*y**3 + 0*y. What is the derivative of n(l) wrt l?
-93
Let w be (2 - -3)/5 + 1. Find the third derivative of -213*t**2 + 18*t**5 + 0*t + 2*t + 214*t**w wrt t.
1080*t**2
Suppose 0*j - 16*j = -176. Find the second derivative of 7 - 1 - 5 - j*i - 43*i**5 - 6*i - 2 wrt i.
-860*i**3
Differentiate -60*n - 104*n + 166 - 286*n**2 + 286*n**2 - n**4 - 53*n with respect to n.
-4*n**3 - 217
Let c(z) be the first derivative of 7059*z**4/4 + 2995*z**3/3 - z**2/2 + 7858. What is the third derivative of c(k) wrt k?
42354
Let k(i) be the second derivative of 3*i**8/56 - 365*i**7/42 - 35*i**4/4 + 1417*i. What is the third derivative of k(z) wrt z?
360*z**3 - 21900*z**2
Find the third derivative of 18142*a**6 - 4415*a**2 - a - 8087*a**6 - 2 - 1 + 3 wrt a.
1206600*a**3
Let m(d) be the first derivative of -7*d + 131/3*d**3 + 1 + 0*d**2 + 0*d**4 + 2/5*d**5. What is the first derivative of m(n) wrt n?
8*n**3 + 262*n
Let j(a) = 976*a**2 + 4399*a + 7. Let q(d) = -493*d**2 - 2200*d - 3. Let v(m) = 3*j(m) + 7*q(m). What is the second derivative of v(r) wrt r?
-1046
Let p(m) = m**3 + 8*m**2 + 9*m + 20. Let r be p(-7). Suppose 28 = j + r*j. Find the second derivative of -6*d**4 + 3*d**4 + j*d + 7*d**4 wrt d.
48*d**2
Let j(y) be the first derivative of -1843*y**4 - 5015*y**3/3 + 6992. What is the third derivative of j(s) wrt s?
-44232
Let p(z) be the second derivative of -170*z**4 - 3103*z**3/6 + 7*z + 56. Find the second derivative of p(o) wrt o.
-4080
Let y(a) be the second derivative of a**5/10 - 123*a**3/2 - 187*a**2/2 - 2*a - 2185. Find the first derivative of y(z) wrt z.
6*z**2 - 369
Let g(j) be the third derivative of -13*j**6/120 + 4*j**5/15 + 7*j**4/8 + 2*j**3/3 + 580*j**2 - 2. Find the second derivative of g(m) wrt m.
-78*m + 32
Let j be 0*(9/12)/((-27)/18). Find the third derivative of a**6 - 4755*a**3 - 44*a**2 - 2*a**6 + j*a**6 + 4667*a**3 wrt a.
-120*a**3 - 528
Let g(x) = 19 - 3 + 21*x + 7 - 104*x. Let s(c) = 55*c - 16. Let r(b) = 5*g(b) + 8*s(b). Differentiate r(n) wrt n.
25
Let j(b) = 5*b - 7*b + 4 - 5*b + b. Let t be j(-3). Find the second derivative of -542 + 542 - 8*f**2 - t*f wrt f.
-16
What is the third derivative of -44*d**3 - 454*d**3 + 202*d**3 - 761*d**3 + 3631*d**2 wrt d?
-6342
Let f(n) = -1819*n**4 + 4*n**3 + 3060*n - 12. Let g(s) = -s**3 + s + 3. Let h(m) = -f(m) - 4*g(m). What is the second derivative of h(o) wrt o?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
349
What is -100554 minus -0.211773?
-100553.788227
What is 0.3 plus 385099014?
385099014.3
What is the distance between 25.6865 and 2091.4?
2065.7135
What is -0.1 take away 490800560?
-490800560.1
What is 5 minus 24190176?
-24190171
-241+-773373.58
-773614.58
Work out -3802370 - -2881.
-3799489
Calculate 639.839649 + 0.4.
640.239649
What is 38.5325 plus -5.1?
33.4325
Subtract -4241.816 from 5.
4246.816
What is 687970336 - 2?
687970334
Calculate -7.08613 - 2.313.
-9.39913
Total of 11375805 and -251.
11375554
Subtract 0.43385 from -0.04271.
-0.47656
Work out -89002796.421 - -3.
-89002793.421
-68.7 - 45441053
-45441121.7
-2292.37+46.515
-2245.855
What is -2598410679 minus 2?
-2598410681
What is -155136 take away -0.034726?
-155135.965274
Total of 2.883597 and 116.
118.883597
-2431353+-311
-2431664
Add together -4 and -15126.695506.
-15130.695506
What is -64427.52113 less than -1?
64426.52113
What is the difference between -0.1763659 and -2?
1.8236341
0.1 + 810704520
810704520.1
-10118.0927 - 3
-10121.0927
Work out 47197 - 467.5.
46729.5
Work out -1068 + 598240.
597172
Sum -26006 and -0.082.
-26006.082
212684.2 + -5.5
212678.7
Sum 9598 and -446.
9152
What is 77472 take away -0.92393?
77472.92393
Total of 0.003176 and -4924.
-4923.996824
Sum 384.78 and 615032.
615416.78
What is the difference between 26.1 and -92433039?
92433065.1
What is -24449621 - -45?
-24449576
Calculate 0 - -3628161433.
3628161433
Add together 2398753 and 66.9.
2398819.9
What is -45 - -0.07680106?
-44.92319894
Subtract 60.13 from -247943.
-248003.13
Add -938.08 and -17.3.
-955.38
Sum 4 and 0.715837.
4.715837
2+426724337
426724339
-22864.42 - 0
-22864.42
What is 0.6 plus 2615.856?
2616.456
What is the difference between -74308 and -2527?
71781
Add together -4921699 and -0.8.
-4921699.8
3928892 - 1.04
3928890.96
Calculate -87569.1 + 1.
-87568.1
-134 - -2.09423
-131.90577
Subtract 3721170 from 2.3.
-3721167.7
What is 3693 less than -238.95?
-3931.95
Add together -15544754127 and 0.3.
-15544754126.7
What is 1 - 2.8009428?
-1.8009428
Work out -0.0259 + -45.222.
-45.2479
What is the distance between 5 and 335366206?
335366201
0.1 + -1368855.97
-1368855.87
What is -220836 plus -103?
-220939
Work out 1399.155864 + 0.5.
1399.655864
-3 - -0.036087927
-2.963912073
Total of -2739154 and 23.
-2739131
What is -3 minus 3.1057888?
-6.1057888
What is -1 + -212280137.7?
-212280138.7
What is the distance between -3664 and -5922?
2258
Add together 601 and -0.06486006.
600.93513994
Calculate -119 + -262.361.
-381.361
What is 0.311 take away 2634?
-2633.689
Calculate -8 + 1150187.6.
1150179.6
Calculate -2 + 25937278.
25937276
Calculate 4779017019 - -0.2.
4779017019.2
-0.032+-6598825
-6598825.032
Subtract -395471.9 from 4138.
399609.9
Sum -174297 and 16.14.
-174280.86
Sum 141 and 198.3361.
339.3361
Put together -24.030132 and 371.
346.969868
-58+400366609
400366551
Add -53.955 and -382495.
-382548.955
What is 0.5 + -1216625961?
-1216625960.5
What is -5 minus 4275779?
-4275784
Subtract 0.1 from -65792934.
-65792934.1
Add together 0.4 and -1404.96207.
-1404.56207
Add 10451749061 and -2.
10451749059
Subtract 472 from 2735210.
2734738
Sum 0.21 and 5509293.
5509293.21
Add together 3285.322 and -80.
3205.322
What is -247.03 minus 69519?
-69766.03
Total of 1017 and -126418.6.
-125401.6
Add together -314.4907693 and -4.
-318.4907693
Work out -24236466527 + 2.
-24236466525
Subtract -3047.27 from -1645.27.
1402
What is 51792.1785 less than -3?
-51795.1785
0.362006 + -30
-29.637994
Calculate -0.91201 - 218.75.
-219.66201
Work out -3.8 + -1.3696304.
-5.1696304
Calculate 24 - 1068025.
-1068001
Work out 2.496 - -10093951.
10093953.496
Total of 612205898 and -20.3.
612205877.7
Calculate -1426628 - -1350.
-1425278
Calculate -284726790 - 4.
-284726794
Add together 1.272001661 and -0.5.
0.772001661
Add together 0.048 and 288983.
288983.048
-37 + -21037.799
-21074.799
What is -23262209 - 4365?
-23266574
Add -1.345479 and 126.
124.654521
What is -167850 minus -3.5?
-167846.5
Add 9295753041 and 0.4.
9295753041.4
What is -6242695 minus 10?
-6242705
Work out 374.12247 + -6.
368.12247
What is -3788 minus 259?
-4047
What is -10 less than -181.17174?
-171.17174
Add together -7128557597 and 4.
-7128557593
Calculate -0.06 - -9716334801.
9716334800.94
Work out -0.6163 + -0.29697.
-0.91327
Add together -5093642 and 0.285.
-5093641.715
What is 331 - -0.05605?
331.05605
Total of -12114.38 and 1739.
-10375.38
What is 30.871 take away -832.3?
863.171
What is the difference between -261254703 and 0.3?
261254703.3
What is 473464.568 plus -0.4?
473464.168
Calculate -6526414.7 - 1.
-6526415.7
Total of -1022318214.5 and 0.2.
-1022318214.3
Subtract 0.498814 from 0.06.
-0.438814
Work out -3306536 + -0.06.
-3306536.06
What is -2490 - 55982976?
-55985466
Calculate 0.5 - -177905469.
177905469.5
What is -1695069 minus 0.6?
-1695069.6
What is -2971683 minus -0.9?
-2971682.1
-0.03 + -0.3412056
-0.3712056
What is the distance between 276112.6409 and -5?
276117.6409
Sum -0.221 and -1830.057.
-1830.278
Work out -95.206610147 + -0.2.
-95.406610147
What is -58.187733 - -1?
-57.187733
What is -4 minus 3.1044805439?
-7.1044805439
0.5+-3.329523
-2.829523
Work out -4034.5 - -0.6258.
-4033.8742
Calculate -2279 - 8964103.
-8966382
Put together 0.6234 and 1571.
1571.6234
What is -20391861 - 0.5?
-20391861.5
What is 13 - -207028213?
207028226
Work out -0.012 + -120511435.
-120511435.012
1514455215 - -0.09
1514455215.09
Sum 78109 and -0.67.
78108.33
What is 2 + 215987015?
215987017
What is the distance between 0 and -10.415591?
10.415591
Sum 8106267 and -4.016.
8106262.984
Calculate -100728 - -5.9.
-100722.1
Calculate 845121 + 4776.
849897
What is 23210 less than 44855?
21645
What is -0.2 less than 21460857?
21460857.2
What is 0.086 less than -14071642?
-14071642.086
What is 632417583 take away -0.044?
632417583.044
What is -10614 less than 29.368?
10643.368
Work out -219029.17 - -8316.
-210713.17
Subtract 1 from -382303.2202.
-382304.2202
Work out -0.04806954 + -4.1.
-4.14806954
What is -1511111 minus 27?
-1511138
Calculate -0.016782 + -960582.
-960582.016782
What is the difference between -0.00240218 and 6?
6.00240218
Total of 23.8811 and 1.7.
25.5811
What is -580690.91 take away -0.1?
-580690.81
Add -711305170 and 0.
-711305170
What is the difference between 0.0657 and 128549?
128548.9343
Total of 2.8 and -3.08619.
-0.28619
What is 1672462 less than -4?
-1672466
What is 25.394 + -0.6912?
24.7028
What is -3980086 take away 7?
-3980093
11 - 0.1526079
10.8473921
Work out 1477 + 32850.
34327
What is -0.47209321 + -7?
-7.47209321
What is the distance between -2891 and 4965?
7856
What is 595.3934979 take away 0.02?
595.3734979
Add together 39473 and 0.0588.
39473.0588
What is -0.1 minus -1266430671?
1266430670.9
What is the distance between -506031 and 80.72?
506111.72
What is the distance between 23462301 and 0.118?
23462300.882
What is -11.78381 - -1?
-10.78381
What is 4438365 + 9?
4438374
Sum 13 and -3182487942.
-3182487929
Work out -27.7838 - -352.
324.2162
Work out -7267954 - 0.
-7267954
What is -0.3 - 282234738?
-282234738.3
Work out 4938.155809 - -0.1.
4938.255809
Sum -134374385 and 0.5.
-134374384.5
What is -0.406801248 - -0.5?
0.093198752
Calculate -26096 - -1.0362.
-26094.9638
Total of -1266243301 and -5.
-1266243306
Put together 1812.6 and 992.3.
2804.9
What is 0.02 - -0.13271965?
0.15271965
Add together -2723.761276 and -5.
-2728.761276
23.5789375+-0.2
23.3789375
-6 + 3943405
3943399
28807 + 3782
32589
Total of -763 and -1092832.
-1093595
Add -0.0918 and 56358769.
56358768.9082
Calculate -76 + -0.35493.
-76.35493
Sum -139 and 23270938.
23270799
-12693769 + 0.2
-12693768.8
1896225 + -54.2
1896170.8
Put together -0.4 and 31027.736.
31027.336
What is -18 less than 400.6376?
418.6376
What is 0.5 take away -1209836068?
1209836068.5
Total of 0.4 and 25149796.36.
25149796.76
What is the distance between 0.04951 and -24.02?
24.06951
What is -53350 + -0.0814812?
-53350.0814812
-5 - 10.283524
-15.283524
What is 0.01011 - 1696?
-1695.98989
Put together 469.1982 and -0.2.
468.9982
2570.556+-81
2489.556
Work out 9759 + 0.3432.
9759.3432
Work out -0.418719 - 0.4.
-0.818719
Work out -7 - -0.1841154.
-6.8158846
What is 7613 less than -2551?
-10164
What is 1044
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the millions digit of 11670805?
1
What is the thousands digit of 576925?
6
What is the ten thousands digit of 192187?
9
What is the hundreds digit of 30247?
2
What is the units digit of 224562?
2
What is the units digit of 372021?
1
What is the tens digit of 72026?
2
What is the tens digit of 941762?
6
What is the thousands digit of 3541398?
1
What is the ten thousands digit of 176562?
7
What is the thousands digit of 1340021?
0
What is the hundreds digit of 471083?
0
What is the tens digit of 317006?
0
What is the hundred thousands digit of 2852942?
8
What is the units digit of 449697?
7
What is the units digit of 6789759?
9
What is the ten millions digit of 17830497?
1
What is the millions digit of 5317195?
5
What is the tens digit of 713843?
4
What is the ten thousands digit of 217759?
1
What is the ten thousands digit of 6561542?
6
What is the thousands digit of 8439360?
9
What is the ten thousands digit of 323722?
2
What is the ten thousands digit of 1411895?
1
What is the thousands digit of 179498?
9
What is the hundred thousands digit of 2432143?
4
What is the tens digit of 297392?
9
What is the hundreds digit of 3574290?
2
What is the hundreds digit of 14969025?
0
What is the hundred thousands digit of 1182519?
1
What is the millions digit of 1029054?
1
What is the millions digit of 3209289?
3
What is the ten thousands digit of 1043115?
4
What is the tens digit of 916363?
6
What is the units digit of 32896?
6
What is the ten thousands digit of 1004486?
0
What is the hundred thousands digit of 301293?
3
What is the ten thousands digit of 430645?
3
What is the ten millions digit of 19027188?
1
What is the hundreds digit of 2213660?
6
What is the hundreds digit of 101505?
5
What is the thousands digit of 4673064?
3
What is the hundred thousands digit of 2592163?
5
What is the hundreds digit of 1335342?
3
What is the ten thousands digit of 2045604?
4
What is the units digit of 420686?
6
What is the tens digit of 102240?
4
What is the hundred thousands digit of 3623827?
6
What is the thousands digit of 26052533?
2
What is the hundreds digit of 417883?
8
What is the tens digit of 4180828?
2
What is the units digit of 329225?
5
What is the tens digit of 10782777?
7
What is the millions digit of 11564393?
1
What is the thousands digit of 1187454?
7
What is the hundreds digit of 28348?
3
What is the tens digit of 2078546?
4
What is the thousands digit of 7549746?
9
What is the hundred thousands digit of 19420152?
4
What is the units digit of 478980?
0
What is the millions digit of 1786675?
1
What is the units digit of 122452?
2
What is the thousands digit of 78518?
8
What is the hundred thousands digit of 1733875?
7
What is the hundreds digit of 3266186?
1
What is the tens digit of 141343?
4
What is the ten thousands digit of 127700?
2
What is the hundreds digit of 261626?
6
What is the hundreds digit of 516512?
5
What is the ten thousands digit of 13343314?
4
What is the ten thousands digit of 2357905?
5
What is the thousands digit of 679932?
9
What is the ten thousands digit of 5217772?
1
What is the tens digit of 11144934?
3
What is the millions digit of 5509162?
5
What is the tens digit of 13641989?
8
What is the units digit of 203604?
4
What is the hundred thousands digit of 302927?
3
What is the hundred thousands digit of 900695?
9
What is the tens digit of 9489506?
0
What is the tens digit of 354486?
8
What is the hundred thousands digit of 788706?
7
What is the hundred thousands digit of 19032105?
0
What is the tens digit of 223225?
2
What is the hundred thousands digit of 263346?
2
What is the hundreds digit of 1333852?
8
What is the ten millions digit of 18569389?
1
What is the tens digit of 9013062?
6
What is the thousands digit of 287289?
7
What is the ten thousands digit of 5324740?
2
What is the millions digit of 21654915?
1
What is the hundreds digit of 259370?
3
What is the ten thousands digit of 6473559?
7
What is the hundred thousands digit of 793734?
7
What is the tens digit of 2214215?
1
What is the hundreds digit of 209701?
7
What is the units digit of 748522?
2
What is the hundreds digit of 548687?
6
What is the ten thousands digit of 13687285?
8
What is the tens digit of 926041?
4
What is the millions digit of 1629182?
1
What is the ten thousands digit of 271620?
7
What is the millions digit of 6315616?
6
What is the units digit of 26614365?
5
What is the tens digit of 184381?
8
What is the units digit of 18838779?
9
What is the tens digit of 92211?
1
What is the hundreds digit of 8700906?
9
What is the hundreds digit of 2393594?
5
What is the ten thousands digit of 555161?
5
What is the ten thousands digit of 525034?
2
What is the millions digit of 36784437?
6
What is the hundred thousands digit of 772849?
7
What is the ten thousands digit of 6662080?
6
What is the units digit of 305123?
3
What is the hundred thousands digit of 4329267?
3
What is the ten millions digit of 22476280?
2
What is the hundreds digit of 1407211?
2
What is the hundreds digit of 51569?
5
What is the ten thousands digit of 76532?
7
What is the units digit of 12198099?
9
What is the units digit of 161269?
9
What is the thousands digit of 3091549?
1
What is the ten thousands digit of 98132?
9
What is the units digit of 8034256?
6
What is the tens digit of 22141354?
5
What is the millions digit of 1091287?
1
What is the hundreds digit of 53593?
5
What is the tens digit of 108950?
5
What is the ten thousands digit of 1593517?
9
What is the units digit of 795593?
3
What is the tens digit of 4317359?
5
What is the tens digit of 562175?
7
What is the units digit of 5030634?
4
What is the hundred thousands digit of 359283?
3
What is the thousands digit of 236696?
6
What is the thousands digit of 586111?
6
What is the ten millions digit of 38551026?
3
What is the millions digit of 7202533?
7
What is the tens digit of 119665?
6
What is the thousands digit of 18778?
8
What is the hundreds digit of 4818953?
9
What is the ten millions digit of 14713527?
1
What is the ten thousands digit of 28891457?
9
What is the tens digit of 477863?
6
What is the ten thousands digit of 69822?
6
What is the tens digit of 879174?
7
What is the ten thousands digit of 98190?
9
What is the tens digit of 1954123?
2
What is the units digit of 24982563?
3
What is the thousands digit of 4318756?
8
What is the thousands digit of 3640102?
0
What is the tens digit of 399824?
2
What is the hundred thousands digit of 679467?
6
What is the hundreds digit of 685919?
9
What is the tens digit of 1896165?
6
What is the millions digit of 8114316?
8
What is the tens digit of 217755?
5
What is the tens digit of 3926767?
6
What is the units digit of 30987?
7
What is the tens digit of 402327?
2
What is the hundreds digit of 706727?
7
What is the hundreds digit of 4652731?
7
What is the ten thousands digit of 2069045?
6
What is the hundred thousands digit of 172141?
1
What is the hundred thousands digit of 970858?
9
What is the ten thousands digit of 9729482?
2
What is the hundreds digit of 14687904?
9
What is the thousands digit of 8240618?
0
What is the hundreds digit of 407105?
1
What is the tens digit of 51638?
3
What is the hundreds digit of 16557058?
0
What is the tens digit of 1132600?
0
What is the ten thousands digit of 136535?
3
What is the tens digit of 391879?
7
What is the hundreds digit of 178093?
0
What is the hundreds digit of 6175475?
4
What is the hundreds digit of 687575?
5
What is the units digit of 30918653?
3
What is the hundreds digit of 1034312?
3
What is the ten thousands digit of 5468620?
6
What is the hundred thousands digit of 11897357?
8
What is the tens digit of 99880?
8
What is the units digit of 917?
7
What is the ten thousands digit of 63632?
6
What is the ten thousands digit of 7614944?
1
What is the units digit of 89020?
0
What is the hundred thousands digit of 1579889?
5
What is the millions digit of 6308841?
6
What is the thousands digit of 80794?
0
What is the units digit of 9878?
8
What is the ten thousands digit of 418427?
1
What is the hundreds digit of 5011?
0
What is the thousands digit of 2801333?
1
What is the hundred thousands digit of 3312320?
3
What is the units digit of 16168299?
9
What is the thousands digit of 6552178?
2
What is the hundr
|
{
"pile_set_name": "DM Mathematics"
}
|
67151 a composite number?
False
Is 75155 prime?
False
Is 352679 composite?
True
Is 44819 composite?
False
Is 207409 composite?
False
Is 7903 a composite number?
True
Is 34233 a composite number?
True
Is 34781 a prime number?
True
Is 992513 composite?
False
Is 11797 composite?
True
Is 188179 a prime number?
True
Is 3377 prime?
False
Is 253361 a composite number?
False
Is 11366 prime?
False
Is 545065 a prime number?
False
Is 453233 a prime number?
False
Is 961319 a prime number?
True
Is 7054 composite?
True
Is 324067 a composite number?
False
Is 50627 composite?
False
Is 309 prime?
False
Is 402299 composite?
False
Is 156269 composite?
False
Is 13223 composite?
True
Is 204913 a prime number?
True
Is 23081 composite?
False
Is 2498 composite?
True
Is 263309 a composite number?
True
Is 226509 prime?
False
Is 103147 a prime number?
False
Is 1410653 composite?
False
Is 316679 prime?
False
Is 33419 a composite number?
True
Is 1097 prime?
True
Is 9793 a prime number?
False
Is 23581 a composite number?
False
Is 65299 composite?
True
Is 25049 composite?
True
Is 11027 prime?
True
Is 11113 a prime number?
True
Is 278543 a composite number?
False
Is 1943 a prime number?
False
Is 209003 prime?
False
Is 616903 prime?
False
Is 9647 a composite number?
True
Is 17665 a prime number?
False
Is 3449 composite?
False
Is 179623 a prime number?
True
Is 86063 composite?
True
Is 14513 prime?
False
Is 48349 composite?
True
Is 104645 composite?
True
Is 28459 a prime number?
False
Is 144517 prime?
False
Is 294883 a composite number?
True
Is 3643 a composite number?
False
Is 403 a prime number?
False
Is 3113 a composite number?
True
Is 19579 a prime number?
False
Is 2539 a prime number?
True
Is 1045597 a composite number?
True
Is 63731 a prime number?
False
Is 1757 composite?
True
Is 14701 prime?
False
Is 626557 a composite number?
True
Is 3449 composite?
False
Is 6242 prime?
False
Is 1229 a composite number?
False
Is 488687 a prime number?
True
Is 68065 a composite number?
True
Is 31687 prime?
True
Is 1847 prime?
True
Is 22367 a prime number?
True
Is 240341 a composite number?
False
Is 1242331 prime?
False
Is 19169 composite?
True
Is 683458 prime?
False
Is 145505 prime?
False
Is 4969 composite?
False
Is 4621 prime?
True
Is 581523 a composite number?
True
Is 94 prime?
False
Is 4373 a prime number?
True
Is 838943 composite?
True
Is 2371 a composite number?
False
Is 23473 prime?
True
Is 121519 a prime number?
False
Is 5349 a composite number?
True
Is 192361 a prime number?
False
Is 11509 composite?
True
Is 11777 prime?
True
Is 34057 prime?
True
Is 4847 composite?
True
Is 127597 prime?
True
Is 3203 prime?
True
Is 641185 a composite number?
True
Is 2194501 composite?
False
Is 3709 composite?
False
Is 106207 a composite number?
False
Is 52361 composite?
False
Is 12143 prime?
True
Is 11185 a prime number?
False
Is 45077 a prime number?
True
Is 24281 a composite number?
False
Is 412651 a prime number?
True
Is 65053 composite?
False
Is 26581 prime?
False
Is 271853 a prime number?
True
Is 2657 prime?
True
Is 449 prime?
True
Is 14143 a composite number?
False
Is 84163 a prime number?
True
Is 16603 a composite number?
False
Is 48947 prime?
True
Is 138917 a composite number?
False
Is 4049 a composite number?
False
Is 24155 a prime number?
False
Is 175811 a composite number?
False
Is 3551 a prime number?
False
Is 8057 prime?
False
Is 826201 a composite number?
False
Is 252431 prime?
True
Is 844919 a prime number?
False
Is 3593 a composite number?
False
Is 17483 composite?
False
Is 162943 a prime number?
False
Is 65239 prime?
True
Is 508789 a composite number?
False
Is 64217 composite?
False
Is 73517 prime?
True
Is 839 prime?
True
Is 49277 prime?
True
Is 113683 prime?
True
Is 60266 composite?
True
Is 18586 a composite number?
True
Is 45707 prime?
True
Is 23651 prime?
False
Is 631721 composite?
True
Is 889 prime?
False
Is 6635 prime?
False
Is 118493 a composite number?
False
Is 99379 a prime number?
False
Is 57011 a prime number?
False
Is 20477 prime?
True
Is 56585 composite?
True
Is 1856219 prime?
False
Is 3793 prime?
True
Is 28709 composite?
True
Is 260317 composite?
False
Is 14591 prime?
True
Is 19633 a composite number?
True
Is 19373 composite?
False
Is 15961 prime?
False
Is 518495 prime?
False
Is 38113 prime?
True
Is 418729 composite?
True
Is 77278 composite?
True
Is 674261 a prime number?
False
Is 1849171 composite?
False
Is 1471 prime?
True
Is 21821 prime?
True
Is 3457 composite?
False
Is 758609 a composite number?
True
Is 451 a prime number?
False
Is 147097 prime?
True
Is 109069 a composite number?
True
Is 16013 a composite number?
True
Is 71367 a prime number?
False
Is 199873 a composite number?
False
Is 1803563 prime?
True
Is 81281 composite?
False
Is 16153 a prime number?
False
Is 116833 prime?
True
Is 226157 prime?
False
Is 708953 composite?
True
Is 241759 a prime number?
False
Is 3442 a prime number?
False
Is 25967 composite?
True
Is 49597 a composite number?
False
Is 2285711 a composite number?
False
Is 1025081 prime?
True
Is 706039 a composite number?
False
Is 1361 prime?
True
Is 2902 composite?
True
Is 1213 a prime number?
True
Is 15819 a composite number?
True
Is 35827 a prime number?
False
Is 718691 a prime number?
True
Is 139721 a composite number?
False
Is 3985 composite?
True
Is 23137 a composite number?
True
Is 398599 a composite number?
True
Is 9584561 a composite number?
True
Is 185353 prime?
False
Is 3457 prime?
True
Is 159961 composite?
True
Is 167089 composite?
True
Is 1397 prime?
False
Is 86781 composite?
True
Is 62449 a composite number?
True
Is 46317 composite?
True
Is 54917 a prime number?
True
Is 15259 prime?
True
Is 5333 a prime number?
True
Is 1283 a prime number?
True
Is 6127 a prime number?
False
Is 10831 composite?
False
Is 147137 a composite number?
False
Is 92203 a composite number?
False
Is 10909 prime?
True
Is 37189 composite?
False
Is 360263 a composite number?
True
Is 195179 composite?
True
Is 47699 prime?
True
Is 412837 a prime number?
False
Is 279329 composite?
False
Is 202651 composite?
True
Is 9461 a prime number?
True
Is 17623 a prime number?
True
Is 1069 a prime number?
True
Is 319 a composite number?
True
Is 32687 composite?
False
Is 1553 a prime number?
True
Is 2707 a prime number?
True
Is 13766 a prime number?
False
Is 225809 a composite number?
False
Is 48319 a prime number?
False
Is 174851 composite?
False
Is 5713 a composite number?
True
Is 2495789 a composite number?
False
Is 31583 composite?
False
Is 228061 prime?
True
Is 244082 a prime number?
False
Is 42829 prime?
True
Is 12853 a composite number?
False
Is 13519 prime?
False
Is 44047 a composite number?
True
Is 272361 a prime number?
False
Is 27841 a prime number?
False
Is 13369 prime?
False
Is 5167 prime?
True
Is 20743 prime?
True
Is 2429 a prime number?
False
Is 37487 a prime number?
False
Is 2600989 prime?
False
Is 1081211 a prime number?
False
Is 243305 a composite number?
True
Is 12373 composite?
False
Is 11777 a prime number?
True
Is 600393 a composite number?
True
Is 90667 a composite number?
True
Is 71571 prime?
False
Is 20417 prime?
False
Is 48527 a prime number?
True
Is 81307 a composite number?
False
Is 56659 prime?
True
Is 993527 a prime number?
True
Is 198337 prime?
True
Is 630821 a composite number?
True
Is 503741 a composite number?
True
Is 95869 a composite number?
False
Is 10799 composite?
False
Is 424921 a prime number?
False
Is 50599 prime?
True
Is 43223 a composite number?
False
Is 175211 composite?
False
Is 659963 prime?
True
Is 85469 composite?
False
Is 108833 composite?
True
Is 941 prime?
True
Is 2599963 composite?
True
Is 28501 a composite number?
True
Is 4228694 a prime number?
False
Is 144659 composite?
False
Is 306539 prime?
False
Is 395743 composite?
True
Is 77297 a composite number?
True
Is 540677 prime?
True
Is 18787 a prime number?
True
Is 457883 a composite number?
True
Is 121411 composite?
True
Is 9029 prime?
True
Is 6899 prime?
True
Is 125521 a prime number?
False
Is 96221 composite?
False
Is 144301 a prime number?
False
Is 16255 prime?
False
Is 208991 prime?
True
Is 6547 composite?
False
Is 77849 prime?
True
Is 85231 a composite number?
True
Is 45677 composite?
False
Is 33209 a prime number?
False
Is 3958 composite?
True
Is 449653 a composite
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 1/6*z**3 + 0 + i*z**4.
z*(z - 3)*(z + 2)**2/6
Let n(z) = -25*z**4 - 52*z**3 + z**2 + 10*z. Let d(b) = -275*b**4 - 570*b**3 + 10*b**2 + 110*b. Let p(k) = -6*d(k) + 65*n(k). Factor p(h).
5*h*(h + 1)**2*(5*h - 2)
Let l(f) be the third derivative of -f**5/60 + 169*f**4/12 + 340*f**3/3 - 53*f**2 + 3. Factor l(d).
-(d - 340)*(d + 2)
Factor -124*h - 2628/7*h**2 - 108/7*h**4 - 96/7 - 2700/7*h**3.
-4*(h + 24)*(3*h + 1)**3/7
Let p be (-18)/(-8) - (-13)/(-52). Suppose -6*u**3 + 24*u + p*u**4 + 40*u - 6*u**3 = 0. What is u?
-2, 0, 4
Let i(n) = 2*n**2 + 23*n + 67. Let q be i(-14). Let z = 557/4 - q. Determine w, given that -3/4*w**3 - 3/4 - 9/4*w - z*w**2 = 0.
-1
Let w be (-20)/35*(-14)/4*24373. Factor -w*m + 2*m**4 - 2*m**2 + 48746*m + 2*m**3 - 2*m**5 + 0*m**5.
-2*m**2*(m - 1)**2*(m + 1)
Let s(q) be the second derivative of 0*q**3 + 1/120*q**6 + 0*q**5 + 0 - q - 15/2*q**2 + 0*q**4. Let t(m) be the first derivative of s(m). Factor t(o).
o**3
Let r(l) = l**3 + 68*l**2 + 83*l + 1082. Let u be r(-67). Suppose 28/3 + 2/3*j**2 - u*j = 0. Calculate j.
1, 14
Let l(w) = 4*w**3 - 943*w**2 - 7301*w - 14390. Let j(x) = 21*x**3 - 5187*x**2 - 40155*x - 79146. Let u(y) = -5*j(y) + 27*l(y). Factor u(k).
3*(k + 4)**2*(k + 150)
Let f(b) be the third derivative of -b**8/70560 - b**7/17640 + b**5/30 + b**4/24 + 55*b**2. Let w(d) be the third derivative of f(d). Factor w(c).
-2*c*(c + 1)/7
Let j(d) be the third derivative of -11/150*d**5 - 1/30*d**4 + 29/525*d**7 + 100*d**2 + 0 + 0*d**3 + 0*d - 1/70*d**8 - 1/75*d**6. Suppose j(w) = 0. Calculate w.
-1/3, -1/4, 0, 1, 2
Let j = 30746 + -13835699/450. Let d(m) be the third derivative of 0 + 1/60*m**4 - 31*m**2 - j*m**5 + 0*m**3 + 0*m. Suppose d(k) = 0. Calculate k.
0, 3
Let m(s) = 44*s**2 + 12*s - 14. Let i be m(1). Find g, given that 6 + 6*g**3 + 111*g + 14*g**2 + 30 - 17*g**2 + i*g**2 + 42*g**2 = 0.
-12, -1, -1/2
Let n(w) be the first derivative of 12*w**2 - 336*w - 1/7*w**3 + 13. Determine r, given that n(r) = 0.
28
Suppose 0 = 21*m + 2*m - 46. Factor 27 - 5 + 4 - 6 + m*k**2 - 14*k.
2*(k - 5)*(k - 2)
Let j = 946 - 1081. Let o be 360/250*j/(-18). Find k such that 16/5*k + o*k**2 + 38/5*k**3 + 8/5*k**4 - 8/5 = 0.
-2, -1, 1/4
Factor b**3 + 121*b + 9*b**2 + 4*b + 1752 + 11*b**2 - 1502.
(b + 5)**2*(b + 10)
Let m(l) = 34*l**2 + l. Let w(t) = -131*t**2 - 91*t + 34. Let z(p) = -4*m(p) - w(p). Determine u, given that z(u) = 0.
2/5, 17
Let x(u) = -u**2 - 2515*u - 17556. Let r be x(-7). Factor h**2 + h - 1/4*h**3 + r - 1/4*h**4.
-h*(h - 2)*(h + 1)*(h + 2)/4
Find g such that -1950*g**3 - 485*g**4 - 146389230*g**5 - 107 - 1955*g + 146389231*g**5 - 382 - 2930*g**2 = 0.
-1, 489
Let l(n) be the first derivative of 5/2*n**3 + 0*n**2 - 19 + 27*n + 35/12*n**4. Let j(h) be the first derivative of l(h). Let j(i) = 0. What is i?
-3/7, 0
Let i(k) be the second derivative of k**7/84 - k**6/18 + k**5/40 + k**4/6 - k**3/9 + k + 35. Let i(t) = 0. What is t?
-1, 0, 1/3, 2
Let a be 9101/(-95) - (-1)/(-5). Let c = a + 114. Let -y**3 - 5*y**2 - 2*y**3 - 6*y - 7*y**2 + 3*y + c = 0. Calculate y.
-3, -2, 1
Let k(h) be the third derivative of -h**8/1680 + h**7/315 + h**6/180 - h**5/15 + 29*h**4/6 - h**2. Let y(i) be the second derivative of k(i). Factor y(u).
-4*(u - 2)*(u - 1)*(u + 1)
Suppose -4*d + 7*d - 9 = -c, -7 = -3*c + d. Factor 16*p**2 - 30*p**3 + 11*p - p + 8*p**4 - c*p + 0*p - p.
2*p*(p - 3)*(p - 1)*(4*p + 1)
Suppose -42 - 17/2*d - 1/4*d**2 = 0. What is d?
-28, -6
Let k(d) be the third derivative of -d**7/1785 + 19*d**6/510 - 7*d**5/102 - 37*d**4/102 + 2516*d**2. What is z in k(z) = 0?
-1, 0, 2, 37
Solve 6782/21*n**3 + 604/7*n**4 + 1268/7*n**2 - 18/7*n**5 + 592/21 - 184*n = 0.
-2, 2/9, 1/3, 37
Factor -2/7*a**3 - 16/7*a**2 - 38/7*a - 24/7.
-2*(a + 1)*(a + 3)*(a + 4)/7
Let m(t) be the first derivative of 2*t**5/45 + t**4/9 - 22*t**3/27 - 4*t**2/3 + 49. Suppose m(f) = 0. Calculate f.
-4, -1, 0, 3
Suppose -2*d + 8 = 3*a, -7*d + 3*a - 12 = -10*d. Factor -6*o**4 + 6*o**4 + 10*o**4 - 8*o**2 - 16*o**3 + 12*o**2 + d*o**2 - 2*o**5.
-2*o**2*(o - 2)**2*(o - 1)
Solve -2/7*m**2 + 6428/7*m - 5164898/7 = 0.
1607
Let f(k) be the third derivative of -k**8/280 + 37*k**7/150 - 3553*k**6/600 + 849*k**5/20 + 2565*k**4/8 - 225*k**3 + 255*k**2. What is q in f(q) = 0?
-2, 1/6, 15
Let a = 10 + -8. Let j be (-117)/(-135) + (-6)/(-60)*-2. Find i such that 2*i - 4/3 - j*i**a = 0.
1, 2
Solve -20502/7*n**2 - 18*n**4 + 2904/7 + 3012/7*n**3 + 28512/7*n = 0.
-2/21, 2, 11
Let z = 830/627 + 2/209. Let r(f) be the second derivative of 0*f**2 - 7/3*f**4 + 0 + 4/5*f**5 + 46*f - z*f**3. Determine y, given that r(y) = 0.
-1/4, 0, 2
Suppose -4*k = -8 - 64. Let j be k/12*(-4)/(-3). Determine r, given that -33*r**2 - 2*r**4 + 45*r**2 - j - 14 + 2*r**3 - 8*r = 0.
-2, -1, 2
Find s, given that 3 - 2445/2*s - 612*s**2 = 0.
-2, 1/408
Let l(b) be the first derivative of -7/30*b**5 + 11/6*b**4 + 3/2*b**2 + 0*b + 71 - 25/6*b**3. Find i, given that l(i) = 0.
0, 2/7, 3
Let b(u) = -u**2 + 15*u + 13. Let c be b(16). Let m(r) = 40*r**2 - 200*r + 160. Let t(j) = -5*j**2 + 25*j - 20. Let v(i) = c*m(i) - 25*t(i). Solve v(f) = 0.
1, 4
Find n, given that -356/3 - 119*n - 1/3*n**2 = 0.
-356, -1
Let b(g) be the first derivative of g**4/2 + 92*g**3/3 + 304*g**2 + 6864. Suppose b(h) = 0. Calculate h.
-38, -8, 0
Let s(j) be the second derivative of j**6/30 - j**5/20 + j**3/6 + j - 29. Let f(y) = 18*y**3 - 3*y**2 - 18*y. Let x(a) = -f(a) - 3*s(a). Factor x(o).
-3*o*(o - 1)*(o + 1)*(o + 5)
Let f = 9403 + -9399. Let g(w) be the second derivative of 0 - 4*w - 4*w**3 + 18*w**2 + 1/3*w**f. Solve g(b) = 0.
3
What is a in -69/2*a**2 + 1/2*a**4 + 0 - 45*a - 5*a**3 = 0?
-3, -2, 0, 15
Determine m, given that 7/2*m**2 + 6 + 10*m - 1/2*m**4 - m**3 = 0.
-2, -1, 3
Let s(t) = t**3 + t**2 + 6*t. Let p(b) = -4200*b**3 + 4500*b**2 - 265*b + 5. Let m(x) = p(x) - 5*s(x). Suppose m(u) = 0. What is u?
1/29, 1
Let -2811*n**3 + 10*n + 36 + 20*n**2 + 2813*n**3 + 36*n + 8*n = 0. Calculate n.
-6, -3, -1
Let r(g) be the first derivative of 23*g**3/12 - 5*g**2 + 530. Solve r(m) = 0 for m.
0, 40/23
Let a be (-91)/(-28) + 847/308. What is w in -32/7*w**2 - 18/7*w**4 - a*w**3 - 8/7*w + 0 = 0?
-1, -2/3, 0
Let x(r) be the third derivative of 1/30*r**6 + 0*r + 4 + 0*r**3 + 1/60*r**5 - 1/8*r**4 - 2*r**2. Determine j so that x(j) = 0.
-1, 0, 3/4
Suppose 2/3*c**2 + 21218/3 - 412/3*c = 0. What is c?
103
Let v(m) be the second derivative of 4 + 1/70*m**7 + 9*m + 0*m**3 + 0*m**4 + 3/10*m**5 + 7/50*m**6 + 0*m**2. Factor v(b).
3*b**3*(b + 2)*(b + 5)/5
Let k(a) be the third derivative of 22/525*a**7 - 1/5*a**4 + 0*a**3 + 1/105*a**8 + 0 + 134*a**2 - 11/75*a**5 + 1/75*a**6 + 0*a. Solve k(u) = 0 for u.
-2, -1, -3/4, 0, 1
Suppose -8995 = -2*p - b - 9003, -5*p = b + 2. Suppose -6*l - 2/3*l**4 + 22/3*l**p - 12 + 2/3*l**3 = 0. What is l?
-3, -1, 2, 3
Let o = -52 + 55. Let n be 4440/1800 + (-2)/15. Suppose -5/3*g**2 + n*g + 1/3*g**o - 1 = 0. Calculate g.
1, 3
Let z(l) = -6*l**2 - 36*l + 4. Let h be z(-6). Let s be h/14 + 29460/35. Solve -2*g - 842 + s - 4*g**2 = 0.
-1/2, 0
Let m(r) be the first derivative of 2*r**4 + 14*r**3/3 - 254*r**2 + 126*r - 1055. Factor m(q).
2*(q - 7)*(q + 9)*(4*q - 1)
Factor 0 - 5184/5*i + 2016*i**2 - 56*i**4 - 4612/5*i**3 - 4/5*i**5.
-4*i*(i - 1)**2*(i + 36)**2/5
Find k, given that -5/4*k**2 - 780 + 125/2*k = 0.
24, 26
Suppose 19*d - 18*t + 106 = 14*d, 20 = -2*d + 4*t. Factor 9/2*c - 4*c**3 - 1/2*c**5 - c**2 + 3*c**d - 2.
-(c - 4)*(c - 1)**3*(c + 1)/2
What is r in -368/15*r - 8/15*r**2 + 26/15*r**4 + 2/15*r**5 - 128/5 + 28/5*r**3 = 0?
-8, -3, -2, 2
Let y = 310 - 308. Factor y - 1/4*x**2 + 1/2*x.
-(x - 4)*(x + 2)/4
Let y(r) be the third derivative of 7*r**2 + 0 - 1/60*r**5 - 1/16*r**4 + 0*r**3 + 1/240*r**6 - 5*r. Determine b, given that y(b) = 0.
-1, 0, 3
Let f(i) = -i**3 - 31*i - 55. Let a be f(-12). Let t = -2043 + a. Suppose -1/2 + 9/4*x**3 + 1/2*x**t - 9/4*x = 0. What is x?
-1, -2/9, 1
Let z(d) = 10*d**2 - 19*d - 11. Let j(o) be the third derivative of -o**5/3 + 13*o**4/8 + 23*o**3/6 - 43*o**2. Let h(g) = -6*j(g) - 14*z(g). Factor h(f).
-4*(f - 2)*(5*f + 2)
Suppose -4*f + 67*d + 21 = 66*d, 2*f - 18 = 2*d. Factor 0 + z**f - 23/7*z**3 + 8/7*z - 22/7*z**2.
z*(z - 4)*(z + 1)*(7*z - 2)/7
Let u(j) be the third derivative of -j**6/30 -
|
{
"pile_set_name": "DM Mathematics"
}
|
to 6 dps?
0.000009
What is -334544 rounded to the nearest one thousand?
-335000
What is -132.033 rounded to the nearest integer?
-132
What is -0.009308602 rounded to 3 decimal places?
-0.009
What is -0.00184237 rounded to five dps?
-0.00184
What is -2.15918 rounded to 2 dps?
-2.16
What is 0.1384373 rounded to four decimal places?
0.1384
What is 18.252 rounded to the nearest integer?
18
What is -33197.3 rounded to the nearest 100?
-33200
Round -7601390 to the nearest 1000000.
-8000000
What is 591702 rounded to the nearest 100000?
600000
What is -298169400 rounded to the nearest one million?
-298000000
Round 270.2508 to the nearest integer.
270
Round -0.00000151601 to 6 decimal places.
-0.000002
What is 6990.45 rounded to the nearest 1000?
7000
Round -20068.14 to the nearest one thousand.
-20000
Round 4712.5 to the nearest one thousand.
5000
What is 954907000 rounded to the nearest 1000000?
955000000
What is 0.0011755801 rounded to 7 dps?
0.0011756
What is -10196.329 rounded to the nearest 100?
-10200
Round 8.08133 to two dps.
8.08
Round 5.951228 to three decimal places.
5.951
What is -309011370 rounded to the nearest 100000?
-309000000
Round -0.00013915092 to 4 decimal places.
-0.0001
What is 0.000278479 rounded to six decimal places?
0.000278
What is -0.3187394 rounded to four decimal places?
-0.3187
Round 1364.965 to the nearest ten.
1360
Round -2840938 to the nearest one thousand.
-2841000
Round -15.37538 to the nearest integer.
-15
Round 0.02631293 to four decimal places.
0.0263
What is -201491.46 rounded to the nearest 100?
-201500
Round 2623.63 to the nearest one hundred.
2600
Round -6547.84 to the nearest 1000.
-7000
What is 9.985843 rounded to 0 decimal places?
10
What is 40.7357 rounded to the nearest integer?
41
Round -2173.862 to the nearest 100.
-2200
Round -0.582034 to 2 decimal places.
-0.58
Round -0.0053989 to four decimal places.
-0.0054
What is -41.77663 rounded to one decimal place?
-41.8
What is -313555 rounded to the nearest 1000?
-314000
What is -0.45412 rounded to 2 decimal places?
-0.45
Round -20581816 to the nearest 1000000.
-21000000
What is 6469420 rounded to the nearest 100000?
6500000
Round 2416.7005 to the nearest one hundred.
2400
Round -0.00110527 to four dps.
-0.0011
Round -1160117000 to the nearest one million.
-1160000000
What is 0.0389364 rounded to 3 decimal places?
0.039
What is 275900.5 rounded to the nearest 1000?
276000
Round 4.988683 to two decimal places.
4.99
What is 58.0935 rounded to the nearest ten?
60
Round -0.000093611 to three dps.
0
Round 59.43177 to the nearest 10.
60
Round -116139 to the nearest one thousand.
-116000
What is -0.717856 rounded to 1 decimal place?
-0.7
Round -0.00002691948 to 6 decimal places.
-0.000027
Round 90.46857 to two decimal places.
90.47
What is -538600 rounded to the nearest one hundred thousand?
-500000
What is 0.000007191723 rounded to six decimal places?
0.000007
What is -0.0000532092 rounded to 5 decimal places?
-0.00005
What is -3225.06 rounded to the nearest 10?
-3230
What is 0.877887 rounded to two dps?
0.88
Round 1573.564 to the nearest integer.
1574
Round 220622.19 to the nearest ten thousand.
220000
What is 1.19871 rounded to one dp?
1.2
What is 0.0025064519 rounded to seven decimal places?
0.0025065
Round 0.00035128414 to six decimal places.
0.000351
What is 0.01686004 rounded to 2 dps?
0.02
What is -791.8809 rounded to 0 dps?
-792
Round 370163000 to the nearest 1000000.
370000000
What is -637.3178 rounded to one decimal place?
-637.3
Round 0.00177551 to 4 decimal places.
0.0018
What is -0.08258321 rounded to 4 dps?
-0.0826
Round -0.000028027252 to seven decimal places.
-0.000028
What is 7238328 rounded to the nearest one million?
7000000
Round 0.0924603 to 4 dps.
0.0925
Round -0.000670342 to 6 decimal places.
-0.00067
Round -0.0001300923 to seven decimal places.
-0.0001301
What is 183.85695 rounded to the nearest ten?
180
What is 0.001072749 rounded to 4 decimal places?
0.0011
Round 0.0927377 to three dps.
0.093
Round -0.00579461 to 4 dps.
-0.0058
What is -152.435 rounded to zero decimal places?
-152
What is 41596900 rounded to the nearest 100000?
41600000
Round -2535.72 to the nearest ten.
-2540
What is 0.039411 rounded to 4 dps?
0.0394
What is -0.0000026278892 rounded to 7 dps?
-0.0000026
What is -81.2802 rounded to 1 dp?
-81.3
What is -0.454599 rounded to 2 decimal places?
-0.45
Round 3.2888437 to 0 dps.
3
Round 6442.121 to the nearest one thousand.
6000
Round -0.000002235616 to seven dps.
-0.0000022
What is 0.535085 rounded to 2 decimal places?
0.54
Round -0.00000457512 to six decimal places.
-0.000005
Round -681070.4 to the nearest 1000.
-681000
Round -119243.477 to the nearest ten thousand.
-120000
What is -9.730396 rounded to two decimal places?
-9.73
Round 0.0001441558 to four dps.
0.0001
What is 0.15504602 rounded to four decimal places?
0.155
Round -0.0399125 to three decimal places.
-0.04
What is -0.1416352 rounded to two dps?
-0.14
Round 0.0003390624 to 4 dps.
0.0003
Round -623.01634 to the nearest 100.
-600
What is -177.148 rounded to one decimal place?
-177.1
What is -0.000009881441 rounded to six dps?
-0.00001
What is -0.004477395 rounded to 6 dps?
-0.004477
Round -1941.165 to the nearest ten.
-1940
What is 2815861 rounded to the nearest 10000?
2820000
Round -24568.374 to the nearest one hundred.
-24600
Round -7028.37 to the nearest one hundred.
-7000
What is -0.000003760281 rounded to 7 decimal places?
-0.0000038
Round 0.000145385 to 5 decimal places.
0.00015
Round 145147.36 to the nearest ten thousand.
150000
What is -1.0059 rounded to one decimal place?
-1
What is -0.015590682 rounded to 5 decimal places?
-0.01559
What is 85004000 rounded to the nearest 1000000?
85000000
What is 0.283102 rounded to 1 dp?
0.3
Round -0.00231417 to 5 dps.
-0.00231
What is -716594.89 rounded to the nearest 100000?
-700000
Round -0.0796171 to two dps.
-0.08
Round -11.1848058 to 1 dp.
-11.2
Round 0.00026328585 to 6 dps.
0.000263
What is -4015.173 rounded to the nearest integer?
-4015
What is 0.015074225 rounded to 3 dps?
0.015
Round 5.457994 to 2 dps.
5.46
Round -108046220 to the nearest 100000.
-108000000
What is -89978 rounded to the nearest 100?
-90000
Round -0.10143053 to 2 dps.
-0.1
What is -0.183192 rounded to 1 decimal place?
-0.2
Round 0.000002224756 to 7 decimal places.
0.0000022
Round -28878.292 to the nearest ten thousand.
-30000
Round -258.678 to 0 decimal places.
-259
What is 0.000407904 rounded to 6 decimal places?
0.000408
What is -0.00024490323 rounded to 5 dps?
-0.00024
Round 0.0000197789 to six decimal places.
0.00002
Round -1.212739 to one decimal place.
-1.2
Round 222.421 to the nearest ten.
220
Round -91.4366 to one decimal place.
-91.4
Round 5.8586631 to 1 decimal place.
5.9
Round 48877200 to the nearest 1000000.
49000000
What is -0.4968451 rounded to four dps?
-0.4968
Round -1288550 to the nearest ten thousand.
-1290000
What is 0.00000107394 rounded to 7 dps?
0.0000011
Round 0.0001905246 to 6 decimal places.
0.000191
What is 21049.84 rounded to the nearest 100?
21000
Round 48387.39 to the nearest ten.
48390
Round 19961640 to the nearest one hundred thousand.
20000000
What is -1.33057 rounded to two decimal places?
-1.33
Round -0.0000016745269 to seven dps.
-0.0000017
Round 29189650 to the nearest ten thousand.
29190000
What is 15698.3 rounded to the nearest 1000?
16000
Round -0.026788825 to 5 decimal places.
-0.02679
What is -123016.53 rounded to the nearest ten?
-123020
What is 14.35553 rounded to the nearest 10?
10
Round 72.3947 to two dps.
72.39
Round -0.2816092 to three dps.
-0.282
Round 3305.8877 to the nearest ten.
3310
Round -0.0007506186 to five decimal places.
-0.00075
What is 0.00010495528 rounded to six dps?
0.000105
Round -168052860 to the nearest 1000000.
-168000000
Round -0.01230811 to 5 dps.
-0.01231
What is -0.456765 rounded to two dps?
-0.46
What is -579221 rounded to the nearest 100000?
-600000
Round 175883 to the nearest 1000.
176000
Round 288329390 to the nearest 100000.
288300000
What is 0.000165209 rounded to five decimal places?
0.00017
What is 0.000110755 rounded to six dps?
0.000111
Round -138.5837 to zero decimal places.
-139
What is 13968800 rounded to the nearest one hundred thousand?
14000000
What is 0.02
|
{
"pile_set_name": "DM Mathematics"
}
|
d biggest value in -3/5, 1/3, -8, q?
-3/5
Let q = -0.205 - -83.205. Let b = q - 83.6. Let w = -519/5 + 103. What is the third biggest value in w, 0.5, b?
w
Let l = -1733 + 1751. What is the smallest value in l, -25, 0.5?
-25
Let o = 12736 - 12733. What is the fifth biggest value in o, -17, 4, -3/4, -2?
-17
Let v(i) be the first derivative of -3/2*i**2 + 1/3*i**3 - 5*i + 31. Let r be v(-2). What is the smallest value in r, -0.2, -0.3?
-0.3
Let s be (3/(-6))/((-2)/(-8))*(-287)/(-82). Which is the fifth biggest value? (a) -1/8 (b) 1.6 (c) s (d) -2 (e) 4
c
Let i = 24998 + -24993. Which is the third smallest value? (a) 0 (b) i (c) 10 (d) 3 (e) -32
d
Suppose 0 = 3*w - w + d + 3, 3*w + 4*d = -7. Let z = 192 + -191.8. What is the second smallest value in w, 4/7, z, -4?
w
Let s = 29722 + -29718. Which is the second biggest value? (a) 3/7 (b) s (c) -12 (d) -4 (e) 0.3
a
Let j be 45/(-75) - (-2)/(-5). Let o = -8/3 - -415/156. Let s = -25/156 - o. Which is the second biggest value? (a) s (b) 0.5 (c) 0.2 (d) j
c
Suppose 0 = -c - q - 2, 0 = -139*c + 136*c + 3*q + 30. Let j = 0.6 + -1. What is the second biggest value in c, -2/11, j, -4?
-2/11
Let p = 2.8 + 2.2. Let h(s) = -8*s + 10. Let t be h(1). Let g be (-3 - -2)/(t + 2/2). Which is the fourth smallest value? (a) -0.5 (b) -5 (c) p (d) g
c
Let g be -3*4/18*(869/22 - 39). What is the smallest value in 7, 0.5, g, -1/334?
g
Let n = -58 - -53. Suppose 18*y - 8*y = 10. What is the third smallest value in y, -0.6, n, -1?
-0.6
Suppose 0 = 2*i + 4 + 4. Suppose -3*g = 5*k + 110, 12*k - 45 + 276 = -5*g. What is the third biggest value in -0.02, -2/13, i, g?
i
Let m = -806.6 - -807. Which is the biggest value? (a) -48 (b) -0.13 (c) m
c
Let q = 70 + -488/7. Let p = 199 - 199. Let k = -1.6 + -0.4. Which is the third biggest value? (a) p (b) q (c) k (d) 2/5
a
Let y(x) = 18*x**2 - 103*x - 18. Let w be y(6). Which is the third smallest value? (a) -4 (b) -9 (c) -2/3 (d) w
c
Let u = 5889 - 5886. Which is the fourth smallest value? (a) -1/11 (b) u (c) 0.5 (d) -1/4 (e) 20
b
Let s = 0.08515 + 0.01485. Which is the fourth smallest value? (a) 0.5 (b) -0.05 (c) s (d) 3 (e) -50
a
Let s = 262 + -265.6. Let r = -3.71 - s. Let z be (2*(-3)/15)/2. Which is the biggest value? (a) r (b) z (c) 0.5 (d) 2/3
d
Let w be 231/(-45) + 3 + (-100)/60 + 4. What is the second smallest value in w, 2/17, 1/16?
2/17
Let y = 0.5 - 0. Let z(f) = -f**3 + 2*f**2 - f + 2. Let w be z(2). Let j = 46802 + -46802.5. Which is the fourth biggest value? (a) w (b) y (c) j (d) -1/3
c
Let s = 167.63 - 165. Let h = 2.33 - s. What is the smallest value in h, -5, -6, -0.01?
-6
Let h = -0.3 - 0.2. Let m(x) = -8*x**2 - 59*x - 7. Let p be m(-7). Let g be ((-4)/p)/(1 + 132/(-84)). Which is the smallest value? (a) h (b) 4/9 (c) g
a
Let m be (-428)/(-19260)*(2 + 4). Which is the biggest value? (a) m (b) 0.2 (c) -2510 (d) -1/5
b
Let w = 38.54 + -38.04. Which is the fifth biggest value? (a) w (b) 2 (c) 0.02 (d) 3 (e) 1/3
c
Let i = -0.12817 - -0.02817. Which is the fourth smallest value? (a) 6 (b) -1/5 (c) i (d) -102 (e) 3
e
Let o(m) be the first derivative of -5*m**2 - 43*m + 117. Let z be o(-4). What is the second biggest value in z, -7, 2, 0?
0
Let j = -0.2 + 0.34. Let g = j - 0.15. Let m be ((-16)/(-20) - 1)/((-4)/10). What is the smallest value in m, g, -5?
-5
Let u = 0.4 + -0.1. Let o = -250632 - -250634. What is the second biggest value in -1/5, o, u, 3/7?
3/7
Let v be (5 + (-425)/100)/(78/16). What is the third smallest value in -3.7, v, 1, 2/11, 4?
2/11
Let v = 73/221 - 3/17. Let n be -1 + 140/(-75) + 3. What is the fourth smallest value in n, 2, v, -2?
2
Let g = 0.17 + -0.47. Let p be (-2)/(16/(-184)) + (-4 - -1). Suppose 4*c + 12 = 0, h = 7*c - 3*c + p. What is the third biggest value in g, 0.3, h?
g
Let s be (-1710)/(-120) - 6/(-8). Suppose 0 = -s*z - 0*z + 15. Let n = 0.54 - 0.7. Which is the fourth biggest value? (a) z (b) -1/2 (c) -2/13 (d) n
b
Let r = 378.844 - 379. Let g = -0.456 - r. What is the third biggest value in -1, g, 0.5, 4?
g
Let r be 14/12 + (-3)/(-12)*4 - 3. Let q = 7.7 - 8. Which is the second smallest value? (a) -3 (b) q (c) r
c
Let k = 6390 - 6390.265. What is the second smallest value in -0.4, k, -0.5?
-0.4
Let n = 127 + -125.75. Let j = -0.95 + n. Which is the second smallest value? (a) -70/3 (b) j (c) 0.5
b
Let f = -6765 + 6765.2. What is the second biggest value in 3/2, -27, 2, f, -1/11?
3/2
Let x = 0.039 - -92.961. Let f = x + -91. Let r = -0.8 - -1.3. Which is the third biggest value? (a) -0.1 (b) r (c) f
a
Let l(k) = 2*k - 6. Let y be l(-21). Let f = 42 + y. Let p be 1/f + 17/(-102). What is the third biggest value in -4/7, 2, p?
-4/7
Let n = 0.5224 + -0.0224. Which is the third smallest value? (a) 5 (b) -4 (c) -1 (d) n (e) 1/5
e
Let k = 29.81997 + 0.18003. What is the second smallest value in -4, k, -73, 5?
-4
Let y = -3406.8 - -3390.4. Which is the third biggest value? (a) -3 (b) y (c) -4
b
Let v = 1 - 2. Let h = -5375/4 - -16121/12. Which is the second smallest value? (a) 49 (b) 0 (c) v (d) h
d
Let f = 6492 - 6495. What is the third biggest value in 1.23, -5, f, 3?
f
Let w = 0.325 + -2.945. Let r = w + -0.38. Let l be ((-6)/4)/((-2)/1). Which is the second smallest value? (a) r (b) l (c) -0.2
c
Let l = -1.83 - -0.83. Let w = 127.6 - 57.6. Which is the second biggest value? (a) w (b) -0.1 (c) l
b
Let d(k) = -181*k + 2892. Let v be d(16). Let s be ((-1)/22*-6)/(-1). Which is the second smallest value? (a) 0.7 (b) v (c) s
c
Suppose 3*f = -5*c - 0*f + 9, -4*f = 4*c - 12. Let r(i) = i**2 - i + 13. Let o be r(c). Let w = -1 - o. What is the biggest value in w, -5, 3/5?
3/5
Suppose 4*b = 4*s - 96, -84 = -3*s - 2*b - 27. Suppose 0*u = 3*u + 3*c - s, 23 = 5*u - c. What is the biggest value in u, -2/5, -4?
u
Let b = -226 - -225.4. Let q be (19/4)/(-1) - (-1)/(-4). What is the third smallest value in -3, q, b?
b
Let a be ((-273)/78)/((-1)/2 - 0). Suppose 7*o + a - 28 = 0. What is the smallest value in o, -4, 0.59?
-4
Let o = 92.44 + -93. Let n = -1.06 - o. What is the biggest value in -0.4, -146, 1, n?
1
Let k = 46.22 - 46.22. What is the biggest value in k, 41/3, -4, -1/17?
41/3
Let q = -3.87 + -0.13. Let g be ((-130)/15)/((-4)/(-6)). Let j(k) = 2*k**2 + 5. Let b be j(0). What is the third biggest value in g, q, b?
g
Let i = 424/3 + -5506/39. What is the third smallest value in i, -11, -18?
i
Let b = 17 - -79. Let p = -95.6 + b. What is the second biggest value in p, 15, 1?
1
Let d(h) = -12*h**2 + 44*h + 314. Let v be d(-6). What is the smallest value in v, -1/10, 3?
v
Let u = 282 + -162. Let f = u - 119.9. Let p = -21 - -18. Which is the second smallest value? (a) f (b) 4 (c) -4 (d) p
d
Let p = -78595.1 - -78595. Let x = 0.02 - 6.02. Which is the third smallest value? (a) p (b) x (c) -1/2 (d) 0.6
a
Let h = 8 - 13. Let y = 73 - 72. Let z = 5.23 + -0.23. Which is the second biggest value? (a) y (b) -1/3 (c) h (d) z
a
Let s = 617/20 + -153/5. Let u = -6 + 6. Let n = -7930/7 + 1133. Which is the biggest value? (a) -0.1 (b) n (c) s (d) u
c
Let w be (((-1)/6)/(-1))/((-2684)/488)*3. Let a = 186 + -1672/9. What is the fourth biggest value in -0.4, -2, a, w?
-2
Let m = -57.83 - 0.17. Let d = 58 + m. Which is the third smallest value? (a) d (b) -146 (c) -4
a
Let f be (-5 - (-33)/6)*(-4)/(-18). What is the biggest value in -3, -158.9, f?
f
Let j = -0.09343 - -0.29343. What is the second smallest value in -0.01, -5, -2, 4, j?
-2
Let t = -449 + 444. Let h(r) be the second derivative of -r**3/6 - 4*r**2 + 7*r. Let q be h(0). Which is the smallest value? (a) t (b) q (c) -0.2 (d) 0
b
Let q = 0.5 + 0. Let f be (-5)/(-3)*(-10)/(-300)*6. What is the second biggest value in 1, f, q, -0.4?
q
Let q = -0.4 - -0.3. Let w = -20.3981 + 20.9981. Which is the biggest value? (a) 4 (b) w (c) -1 (d) q
a
Let v = -25002 - -25005. Which is the third biggest value? (a) v (b) -0.17 (c) -2
c
Let u = -269/3 + 89. Suppose 0 = 4*s + 3*i - 29, 0*i - 12 = -3*s + i. Let h = -0.3 - -0.29. What is the fourth smallest value in s, h, u, 1/6?
s
Suppose -130*c = 6529 - 1979. Let f = 2.97 + 0.03. What is the fourth biggest value in c, 1/6, -0.5, f?
c
Let y(o)
|
{
"pile_set_name": "DM Mathematics"
}
|
Put b, 2/7, 3/5 in increasing order.
b, 2/7, 3/5
Suppose -4*x = -2*x - 2. Let s = -0.7 + 0.4. Let a = -0.2 - s. Sort x, 4, a.
a, x, 4
Let l = 0.7 - 0.3. Let v = 8.4 - l. Let t = v + -8. Put 1, t, -3 in decreasing order.
1, t, -3
Let h(m) = m**3 - 22*m**2 - 21*m - 49. Let k be h(23). Put k, 4, -2 in increasing order.
k, -2, 4
Let o(t) = -t - 4. Let d be o(-6). Let z(r) = 2*r - 67. Let p be z(32). Sort d, 4, p in descending order.
4, d, p
Let t = 1 + 4. Let x = 8 - t. Sort -0.2, -2, x.
-2, -0.2, x
Suppose x - 4*l = -22, -x + 2*l = 4*x + 20. Let s = x + 11. Let w be 6/(-2)*12/s. Sort w, 1, 4 in decreasing order.
4, 1, w
Suppose -1 = 3*s + 29. Let n = -8 - s. Let p be 4/3*(-6)/n. Put p, 3, -1 in descending order.
3, -1, p
Let f = -30 - -33. Let h be (-12)/(-20) + f/(-5). Put h, -1, 5 in decreasing order.
5, h, -1
Let u = 1.3 - 1. Let c = -0.7 - u. Let s(l) = -l - 3. Let m be s(-3). Sort m, 5, c.
c, m, 5
Suppose -5*v = h - 94, -h = 4*v - v - 58. Suppose x = -x + v. Let t be 12/(-4) + 0 + x. Sort t, 0, -3 in ascending order.
-3, 0, t
Suppose 3*j = 5*f - 26, -2*f + 6 = -2*j + 3*j. Sort f, 0, 1 in ascending order.
0, 1, f
Suppose 12 + 3 = -5*w - 5*d, 0 = 5*w - 3*d + 39. Let h be (-124)/w*(-5)/(-630). Let j = h + -16/27. Sort j, 4, 3.
j, 3, 4
Let x = 156 + -1406/9. Suppose 5*b = 9 + 1. Suppose 3*y = f - 2 + 9, 7 = 3*f - b*y. Put x, f, 2 in descending order.
f, 2, x
Let g = 1 - -1. Suppose -5*q - 4 = -0*q - 4*w, -4*w + 4 = -g*q. Let p = -5 + 0. Sort p, 3, q.
p, q, 3
Let j = -4.1 + 1.1. Let f = 0.9 + -0.3. Let c = f - 0.1. Put c, j, -2 in decreasing order.
c, -2, j
Let t = -65 + 61. Sort 2, -14, t.
-14, t, 2
Let s(r) = -r**3 - 5*r**2 - 4*r. Let w be s(-4). Suppose 3 = 5*u - 2. Sort w, u, -3 in decreasing order.
u, w, -3
Suppose 0*y = -y - 1, y + 7 = 2*j. Let d = 9 - 10. Put d, 5, j in increasing order.
d, j, 5
Suppose -2 + 17 = -3*b. Put 2, -24, b in ascending order.
-24, b, 2
Let n = -0.037 + -1.963. Sort n, -0.2, -1, -0.3 in descending order.
-0.2, -0.3, -1, n
Let y(x) = -x**2 - 3*x + 2. Let i be y(-3). Sort 0, i, -4 in descending order.
i, 0, -4
Let k(s) = -s**3 + 6*s**2 + 6*s + 17. Let z be k(7). Suppose 4*t = -h + 1, 3*h + 4*t + 8 = -h. Sort z, 4, h.
h, 4, z
Let p = 32 + -15. Let y = p + -8. Suppose 2*g - y = 5*g. Sort -2, 5, g in descending order.
5, -2, g
Let z = -16 - -24.3. Let s = z + -8. Let x = 0.03 - -2.97. Sort x, s, 2/19.
2/19, s, x
Suppose -14 = 5*n + 1, -3*v = 3*n + 12. Put v, -2, -4 in decreasing order.
v, -2, -4
Let z be 0 + 3 + (1 - 4). Put z, 4, -1, 5 in descending order.
5, 4, z, -1
Let l be 6 - 1 - 2*1. Suppose -3*j + 0 = l. Put j, -5, 5 in descending order.
5, j, -5
Let u = 2.3 - 4.3. Let a be 1*(-2 + 0 - 1). Put u, 4/5, a in increasing order.
a, u, 4/5
Let a be 6/(-15) - 2/(-5). Sort -5, 4, a in decreasing order.
4, a, -5
Let d(h) = h**2 + 6*h - 13. Let j be d(-8). Sort 2, 1, -3, j in decreasing order.
j, 2, 1, -3
Suppose 2 = -2*t + 4. Sort -4, 8, t in increasing order.
-4, t, 8
Let s = -2.6 + 3. Let t = -0.5 - -0.8. Put -2, t, s in decreasing order.
s, t, -2
Let k = -2.5 - -2. Sort 0, 1, k in decreasing order.
1, 0, k
Let y = -15 + 10. Let d(w) = 2*w + 9. Let b be d(-6). Sort 2, y, b.
y, b, 2
Let c = 18 + -8. Suppose -2*m + c = 3*m. Suppose 3*w = -t - 12, -3*t + 29 = w - 5*w. Sort m, t, -5 in descending order.
t, m, -5
Let r = -0.07 - 1.93. Let l = r - -1. Sort -2, 3, l.
-2, l, 3
Let d = -9.4 + 13. Let v = -4 + d. Let h = 0 - v. Sort 0.5, h, -0.1.
-0.1, h, 0.5
Let b(z) = -3*z - 3. Let a be b(0). Let f = -2 + 4. Put a, f, -5 in descending order.
f, a, -5
Suppose 0 = -4*b + 12, -24 = 5*l - 4*b + 13. Let h = -1.1 + 0.1. Let o = 0.04 + 0.46. Put h, l, o in decreasing order.
o, h, l
Suppose 0 = -2*x + 4, 0 = -0*l + 5*l + x + 23. Suppose -s - 14 = -5*t, -5*t - 5*s + 8 = -4*t. Sort l, 1, t in descending order.
t, 1, l
Let f be (-1 - -6)*(-2)/5. Suppose 167*z + 25 = 162*z. Put z, f, 1 in descending order.
1, f, z
Let r be 1 + -1*(-2 + 13). Put 1/4, 2/7, r in ascending order.
r, 1/4, 2/7
Suppose -x = 5*o + 22, 2*o = 4*x - x - 2. Sort 1, -4, x.
-4, x, 1
Let w(j) = j**2 + 2*j - 3. Let i be w(-3). Sort i, 1, -5 in decreasing order.
1, i, -5
Let m = 12 - 11. Let n = -2.1 + 2. Suppose 0 = 2*p, -4*p = v - 5*p + 5. Put n, m, v in decreasing order.
m, n, v
Let m be 1/(-5) + (-382)/40. Let f = 10 + m. Let l = 0.8 + -1.2. Put l, 2, f in descending order.
2, f, l
Let k(t) = t + 1. Let u be k(2). Suppose 0 = u*x - 5 - 1. Sort 0, x, -2 in increasing order.
-2, 0, x
Suppose 2*r - 7*r = 25. Let p be 4/6*(-105)/14. Let t = 4 + p. Put 3, t, r in decreasing order.
3, t, r
Let v = -0.2 - 0.3. Let t(j) = -2*j + 12. Let c be t(5). Put -2/13, v, c in descending order.
c, -2/13, v
Let m = 7.1 + -3.1. Sort m, 12, -0.1.
-0.1, m, 12
Let h be (-4)/(-6) + (-14)/21. Let u be 8/12 - (-8)/(-3). Sort u, h, 3 in descending order.
3, h, u
Suppose 5*j = -5*h, 0*j + 45 = 5*h - 4*j. Sort h, 1, -3/5.
-3/5, 1, h
Let q = 2.2 - 1.7. Let f = -1 + q. Let d = 2 - 5. Sort f, d, 2/9.
d, f, 2/9
Let z = -8.6 - -0.6. Let l = z + 3. Let d = 0.1 - -0.1. Sort l, -0.1, d.
l, -0.1, d
Suppose -3*c + 60 = 3*b, b + b - 20 = 3*c. Let f be (b/20)/(4/10). Sort 1, -2, f in increasing order.
-2, 1, f
Suppose 2*h - 5*h = 0. Let q(y) = y - 2. Let u be q(-2). Put 2, h, u in ascending order.
u, h, 2
Let c = -75 - -449/6. Let d = c + 5/6. Sort -2, d, 0.1.
-2, 0.1, d
Let n be (-14)/3 - (-10)/(-30). Suppose -2*z - 2*x - 6 = 0, 5*z + 5*x + 13 = z. Let f be -1*(2 + 12/z). Put f, 3, n in decreasing order.
f, 3, n
Let h = -21 + 25. Sort 0.5, 0, h, 0.1 in ascending order.
0, 0.1, 0.5, h
Let x(h) = 4*h + 2. Let k be x(-1). Put k, 2, 3 in ascending order.
k, 2, 3
Let r = -51 - -49. Put r, -0.8, 3 in descending order.
3, -0.8, r
Let u be -8 + 7 + (3 - 0). Sort -1, u, 0.5 in descending order.
u, 0.5, -1
Let i be (0/2)/(12 - 11). Let v be 4/(-4)*(-1 - 2). Put -5, i, v in decreasing order.
v, i, -5
Let u(z) = 2*z - 10. Let a be u(7). Suppose 3*j - a*j = 5. Sort j, -1, 3 in descending order.
3, -1, j
Let m = 7 + -11. Let t = -2 - m. Let v = t + -2.5. Sort 0, -0.3, v in descending order.
0, -0.3, v
Let f be 3*(-1 - (-4)/(-3)). Let h = f - -2. Suppose -j + 3*j = 2. Put h, j, 5 in decreasing order.
5, j, h
Let m = -3.7 + 4. Suppose -2*r - 3*q = 8, -7*r + 3*r + q + 12 = 0. Sort r, -2, m in decreasing order.
r, m, -2
Let m = 0.6 - 0.5. Let n = 5 + -4.7. Let h = m + n. Put h, 1/5, -0.4 in decreasing order.
h, 1/5, -0.4
Suppose 42 = -2*z - 4*q, z = q + 3*q + 3. Put z, 3, -1 in decreasing order.
3, -1, z
Let o = -37 - -39. Sort -4, o, -8.
-8, -4, o
Let t be (-8)/3 - ((-80)/15)/(-4). Let r = 4 - 7. Sort r, t, -2 in descending order.
-2, r, t
Suppose -2*h + 7*h = 0. Let d = h + 3. Suppose -g + d*g = 8. Sort g, 0.1, 2 in descending order.
g, 2, 0.1
Suppose 3*f - 18 = -4*r - 0*f, 2*r = -2*f + 8. Let m = r - 11. Let u(a) = -a + 9. Let d be u(7). Put m, d, -4 in decreasing order.
d, -4, m
Suppose 3*h + 3 = -j - 2*j, 3*h + 4*j + 2 = 0. Let q(f) = -f + 1. Let k be q(h). Let r = 1 + -2. Sort k, r, 0 in increasing order.
r, 0, k
Suppose 5*i = -k - 3 - 7, k + 4 = -3*i. Sort -1, k, 4 in increasing order.
-1, 4, k
Suppose 2*p = -2*p. Let l = 2 + p. Suppose x - 4*y - 1 + 2 = 0, -5*x + 5*y - 20 = 0. Put x, -4, l in decreasing order.
l, -4, x
Let d = 0.1 - -6.9. Let m = d - 2. Let q = -24 + 23. Sort 0, m, q.
q, 0, m
Let d = -17 - -19. Put -3/8, 1/2, -2, d in increasing order.
-2, -3/8, 1/2, d
Suppose 5*x = f - 4*f + 13, -3*f - 22 = -2*x. Let v be 2 + 0 + 3*1. Sort f, 1, v in decreasing order.
v, 1, f
Let v(o) = o**2. Let b(l) = -4*l**2 + 6*l + 2. Let z(j) = -b(j) - 5*v(j). Let a be z(-6). Sort 0, 1, a.
a, 0, 1
Let n = 31 + -21. Let j = n - 6. Let o = -49 + 51. Sort j, 0.1, o.
0.1, o, j
Suppose 3*a - 23 = -j, 3*a - 1 = j - 2*a. Suppose j = -2*b - 2*r, 0 = 2*b - 4*b - r - 12. Put 3, 5, b in ascending order.
b, 3, 5
Let i = -99.8 + 99. Put -5, -0.2, -2/3, i in increasing order.
-5, i, -2/3, -0.2
Let f be (-8)/(-20) - ((-92)/5)/4. Let w be (0 - 1)/(1 - 0). Sort f, w, -3 in ascending order.
-3, w, f
Let m be ((-1 - 1)*-1)/(6/(-15)). Sort m, -2, 5 in decreasing order.
5, -2, m
Let x = 7 - 10. Let n = x + 3.06. Let v = -1.06 + n. Sort -4, v, -2 in increasing order.
-4, -2, v
Suppose -j = -4*h + 2, 2*j + j + 6 = -4*h. Let o(a) = a**2 - 13*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
(12 + 24/18 + -12)?
42
Let l be 12/10 - 142346/(-87568). Let y = l - 3/5473. Find the common denominator of y and 13/12.
120
Let q(z) = 8*z**2 + 120*z + 56. Calculate the smallest common multiple of q(-16) and 32.
736
Let g be ((-99)/44)/(-2 + (-13)/(-8)). Suppose 7 = g*m + 43. What is the common denominator of 71/6 and m?
6
What is the least common multiple of (4 + -52)*((-1)/(-2) + -1) and 15?
120
Let g be ((-48)/32)/(6/(-28)). Let d(u) = -u**2 + 7*u + 1. Let j be d(g). Calculate the common denominator of j/1*105/(-48) and -57/22.
176
Let a(c) = -13*c - 38. Let x be a(-3). What is the lowest common multiple of ((-55)/(-22))/(x*(-3)/(-12)) and 7?
70
Suppose -21*v + 11 + 31 = 0. Suppose -5*c + 28 = -v. What is the smallest common multiple of c and 22?
66
Let k be 8/16*(8 + 2). Suppose -2*j + 5 = u - 0*u, 0 = 5*u - k*j - 10. Suppose -2*b - 9 = -u*b. What is the smallest common multiple of b and 25?
225
Let z be 2*((-108)/8 - 0). Let x be (-4 + z/(-6))*-180. Let q = x + 136. What is the lowest common multiple of q and 16?
368
Suppose -l = b - 9, -28*b + 5*l - 25 = -23*b. Let w(t) = 5*t**2 - t - 1. Calculate the lowest common multiple of b and w(-2).
42
Calculate the common denominator of (-3 + (-16)/6)/((-8940)/54) and -9/14.
10430
Let l be 8/28 - ((-668635)/(-39060) + 4). Let q = 8304 + -9267263/1116. Let f = q - l. Find the common denominator of -9/4 and f.
12
Let b be (0 - (-92)/122346)*-5622. Let a = -422852986/971 + 435482. Let h = b + a. Calculate the common denominator of h and -29/33.
231
Suppose 0 = 4*v - 20*v - 304. Find the common denominator of ((-30381)/(-180))/v + (-3)/15 and ((-9)/100)/(18/(-15)).
120
Let d(l) = 4*l - 58. Let c be d(29). Suppose -8*g = -22 - c. Let t(n) = -n**3 + 6*n**2 - 3*n + 2. What is the lowest common multiple of t(5) and g?
60
Let l(o) = o**3 + 5*o**2 - 4*o + 1. Let f be l(-5). Let r = 130 + -127. Calculate the least common multiple of r and (-328)/(-28) - (-6)/f.
12
Let w = -31999 - -33241. Calculate the lowest common multiple of 621 and w.
1242
Calculate the lowest common multiple of (71 - 41)*8/16 and 954.
4770
Suppose 5*m - 2*q = 975 + 1844, 0 = 2*q - 6. Calculate the common denominator of m/(-2310)*-6 + (-2)/11 and -37/26.
182
Let q(h) = 3*h**2 + 19*h - 7. Let o = 475 + -483. Calculate the smallest common multiple of 15 and q(o).
165
Let u(i) = i**2 - 48*i - 1826. What is the least common multiple of u(-33) and 539?
5929
Suppose 0*i - 3*i + 21 = 0. Let h(b) = -b**3 + 8*b**2 - 7. What is the common denominator of (39/(-12) + 1)/(34 - 3874/117) and h(i)?
32
Let h = -261931/973239 - 8/6121. What is the common denominator of 47/53 and h?
159
What is the common denominator of 4/9 and (6/(-88))/(101707/(-14734) + (6 - -1))?
198
Suppose 3*w - 4223 = -2*a, -95*a + 92*a + w = -6329. What is the least common multiple of 30 and a?
6330
Suppose 124*m = 125*m + 3*p - 63, 4*m = 5*p + 133. Suppose -2*z + 45 = -3*c, -3*z + 6*c - 3*c = -63. Calculate the smallest common multiple of m and z.
126
Calculate the least common multiple of (4/7 - 4/(196/(-15505))) + 1 and 3.
318
Suppose 2*f = -5*c - 17, c = -5*f + 2*f + 7. Suppose f*d - 3 + 19 = 0. Find the common denominator of ((-1)/16 - 0)/(d/(-36)) and -123/20.
80
Suppose x = -2*a + 10, 0*x + 3*x - a - 2 = 0. Suppose 2*p = x*b + 3*b - 492, -p - 264 = 2*b. Calculate the common denominator of -25/44 and (2/(-3))/(p/(-60)).
352
Let u = -5903423941/145336016 + 1626937/49552. Let i = u - -4/7961. Calculate the common denominator of -43/2 and i.
14
Let z be ((-1)/35)/((-2)/(-3865)). Let c = -18591/77 + 2208/11. Let u = c - z. What is the common denominator of u and 49/18?
18
Let f = 38 - 17. Let p(m) = -m**2 + 5*m - 6. Let z be p(4). Calculate the least common multiple of f and 2/(34/(-9) - z - -2).
63
Let c = 450387 - 6745384/15. Let j = c - 693. Calculate the common denominator of (20/6 - 2) + 1386/216 and j.
60
Let d = 262591/23700 - -7/1975. Let x(p) = -542*p**3 - p**2. Let t be x(1). Let y = t + 7605/14. Calculate the common denominator of y and d.
84
Let b(t) be the first derivative of 5*t**2 - 74*t - 19. Suppose -l + 2 = -10. Calculate the smallest common multiple of b(11) and l.
36
Suppose -n + 9 = -3*c + 52, 4*c = -n + 69. Let a = 226 - 231. What is the lowest common multiple of (0 + a + 0)/((-15)/60) and c?
80
Suppose -4840*s = -4852*s + 1260. What is the lowest common multiple of s and 357?
1785
Let b(t) = -t**3 + 2*t**2 - t + 2. Let r be b(2). Let i = -11172 + 324020/29. What is the common denominator of (0 - r) + (-1)/(35/(-260)) and i?
203
Let x be (-23 - -3)/4 + 0. Find the common denominator of -46/277 and (-4)/40*14 + x.
1385
Calculate the least common multiple of 352 and 7 - (5 - (174 + 0 + 0)).
352
Let d = 13/15 + 1159/30. Let g = -181/4 + d. What is the common denominator of -49/52 and g?
52
What is the smallest common multiple of (212/689)/((-2)/(-494)) and 114?
228
Suppose 16547*z - 1404 = 16538*z. Calculate the lowest common multiple of z and 13.
156
Let f(g) = -22*g**3 - 3*g**2 + 5*g - 2. Let h be f(5). Let z = h + 33571/12. Calculate the common denominator of z and 71/60.
60
Let u be -3*(-9)/6*-2. Let k = u + 15. Let y = -1177 + 1189. Calculate the least common multiple of y and k.
12
Suppose 4*m - 7 = 2*t + 5, 4*t = 2*m - 12. Suppose -5*a - 3*w = -178 - m, -4*w = -20. Let l = 76 - a. What is the least common multiple of l and 1?
43
Let s = -32229 + 34157. Calculate the least common multiple of 40 and s.
9640
Let y = 4353/2 + -2145. Find the common denominator of (-74)/(-46)*(7 - 6) and y.
46
Let j = 4706997/41699 + -5532/49. Let k = 69883/42550 - j. Calculate the common denominator of 8/15 and k.
150
Calculate the common denominator of (-15)/(-106590)*-38*((-202)/(-12) + 1) and 83/408.
4488
Let z = -97828/3 + 173155549/5310. Calculate the common denominator of -17/6 and z.
5310
Let f be ((-6)/4 - 0)*(-4972)/(-33). Let u = -132 - f. What is the smallest common multiple of 10 and u?
470
Find the common denominator of -10 + 16656/1034 + -9 - -3 and -59/94.
1034
Let n be -3*3/(-6) + (-13508365)/(-680). Let g = -19867 + n. What is the common denominator of g and -2/11?
1496
Let n = 118 + 210. Suppose 3*j + r - 497 = 0, 2*j + 0*r - n = r. Suppose 4*k - j = -k. What is the smallest common multiple of 12 and k?
132
Let f = -98 + 111. Suppose -115 = -f*t + 67. What is the smallest common multiple of t and 166?
1162
Let i = -1914707 + 5328629524/2783. Calculate the common denominator of -77/4 and i.
11132
Let f = -330 + 340. Calculate the common denominator of 57/(-9) + (-2)/(-8) and 10232/1288 + f/(-115).
84
Let y be (-1)/(3/4*(-12)/18). Let i(w) = -4*w**3 - w**2 - 2*w + 2. Let d be i(y). Let s = d + 54. What is the smallest common multiple of s and 18?
144
Suppose -5*y + 3*i = -541, 2*y + 5*i - 187 - 17 = 0. Let l = y - 17. Calculate the least common multiple of l and 21.
630
Suppose 5*x - 3*f - 50 = 0, 4*x - f + 74 - 114 = 0. Let h = 1 + 14. Suppose 3*q - h = 27. What is the smallest common multiple of q and x?
70
What is the least common multiple of 65 and ((-15)/4)/(8 + (-737)/88)?
130
What is the common denominator of 61/6 and ((-2)/(-6))/(702/5538)?
54
Suppose 0*t - 4*u = 2*t - 48, -5*t = -2*u - 132. Let r = t - 2. Calculate the lowest common multiple of 60 and r.
120
Let z(f) = -3048*f**3 + f**2 + f + 3. Let x be z(-2). Let k = -780521/32 + x. What is the common denominator of -117/80 and k?
160
Suppose -20*b + 29*b - 2667 + 327 = 0. Calculate the smallest common multiple of b and 40.
520
What is the common denominator of 99/5108 and ((-441)/45 - 4)*(-5)/(-4)?
5108
Let b(z) = 20*z + 11. Let d be b(0). Let r = -48097/18 + 2676. Find the common denominator of ((-1067)/22)/((-3)/(3/d)) and r.
198
Let a = 31/5 - 37/5. Let r = -1 + -1. Calculate the common denominator of r/(-9) + (-4294)/855 and a.
5
Let i(d) = 14*d**2 - 6*d - 4. Let m(q) = -q**2 - q - 1. Let p(n) = i(n) - 4*m(n). Let z = -33 + 53. Calculate the least common multiple of p(1) and z.
80
Let v be ((-8)/(-12))/(8/10542). Let s be (6314/7 + 0)/(-1). Let i = v + s. What is the common denominator of i and -39/10?
10
Let t = 21524/15 - 1438. Calculate the common denominator of (-241)/(-100) - (870/(-40))/(-29) and t.
150
Let m(j) = j**2 - j + 1. Let w be m(1). What is the common denominator of (1
|
{
"pile_set_name": "DM Mathematics"
}
|
3
a
Which is the nearest to 0.2? (a) -24.5 (b) 0.5 (c) -1.1
b
What is the nearest to 11/9 in 2, -8, 282?
2
What is the nearest to 3 in 0, -2, -13586?
0
What is the nearest to 2 in 0.3, 5, 2/7, -1.1, -0.3?
0.3
What is the closest to 2 in 6965, 12, 3?
3
Which is the nearest to -9? (a) 8/11 (b) -3 (c) -774
b
Which is the closest to 1/6? (a) 1 (b) -0.1 (c) -1/9 (d) -1
b
Which is the closest to -1/4? (a) -185 (b) 0.3 (c) 0.5 (d) 7 (e) 0.4
b
Which is the closest to 268? (a) 1 (b) -2 (c) -2/3 (d) 4 (e) 2/7
d
What is the nearest to 6/17 in 4/9, -4, 1, -0.1?
4/9
Which is the nearest to -20? (a) 4/5 (b) -4/305 (c) 2/3
b
Which is the closest to -14410/7? (a) 4/7 (b) 2/3 (c) -6/5
c
What is the closest to 6 in -3, 11, -0.4, -7?
11
Which is the nearest to 20? (a) 3/2 (b) -1/10 (c) -0.78 (d) -0.3 (e) -5
a
What is the closest to -397/10 in 11, -3, -0.2, -2/9?
-3
What is the closest to 6 in 14, -153, 1?
1
Which is the closest to -21? (a) -1/14 (b) -367 (c) 1/4
a
What is the nearest to 2/9 in 2/3, 45, -0.1, 559, 2?
-0.1
Which is the nearest to -0.1? (a) -1 (b) -2/5 (c) -12 (d) -2.63
b
What is the closest to -2.1 in -4, 3, -1893/8, 1/2?
-4
Which is the nearest to -1/2? (a) -179 (b) 0 (c) -5
b
What is the closest to -1/2 in 0.04, -0.4, -0.1, 2/27, 4?
-0.4
What is the nearest to 25 in -0.27, 3, 11?
11
What is the nearest to 1/17564 in 2/3, 5, 1/2, 4?
1/2
Which is the closest to -1/4? (a) 2.5 (b) -0.52 (c) 1/4 (d) -0.4
d
What is the nearest to 1 in 4, 0.04, 193, 0.02?
0.04
Which is the nearest to -0.1? (a) -5 (b) -0.5 (c) -2/3 (d) -56
b
Which is the nearest to -1/4? (a) 4 (b) -7 (c) 20/7
c
What is the nearest to 14 in 0, -2/13, -49.7?
0
What is the nearest to 1/3 in 0.3, 2/5, 1, 12, -18?
0.3
Which is the nearest to -2? (a) 13 (b) 1/11 (c) 0.3 (d) -6 (e) 2/111
e
Which is the nearest to -1? (a) 5 (b) -4 (c) 2/5 (d) -161
c
Which is the nearest to 46/7? (a) -0.3 (b) 1/12 (c) -0.05
b
What is the nearest to 2 in -4, 157/6, 3?
3
Which is the closest to 7/4? (a) 4 (b) -0.05 (c) -3/101 (d) 6 (e) 0.5
e
Which is the closest to 0.06? (a) 1/7 (b) -0.2 (c) 0.059
c
What is the nearest to -18 in 1, 0.2813, -5?
-5
What is the nearest to 1 in 4.8, -0.2, 3, -7?
-0.2
Which is the closest to -2? (a) 4 (b) 27.6 (c) 3 (d) 1/1504
d
What is the nearest to -1387 in -1/3, -5, -0.08, 11, -3/4?
-5
Which is the closest to -31.9? (a) 0.3 (b) -1/10 (c) -7/6 (d) -1 (e) 0
c
What is the closest to 5/2 in -0.18, -1/3, -4?
-0.18
What is the closest to 4212 in -18, 1, -1/2?
1
Which is the nearest to -0.09? (a) -40.8 (b) -5 (c) -14
b
Which is the closest to 1? (a) 1403 (b) 5 (c) 0
c
What is the nearest to 2705 in -0.1, 0, -3/7, -5, 3?
3
Which is the nearest to 1? (a) -57 (b) -121 (c) -5
c
What is the nearest to -1.3 in 0.5, -11/6, 0.013, -5, -3?
-11/6
Which is the closest to -1? (a) 0.07 (b) -3 (c) 994
a
Which is the closest to 2/5? (a) -0.3 (b) 5780 (c) 10
a
What is the closest to 888 in 1/3, -3, 0.1, -2/7?
1/3
What is the nearest to -32 in 2, 1.41, -1, 2/3?
-1
What is the closest to -2/3 in -1.633, 1.3, -0.9?
-0.9
Which is the nearest to 0? (a) 2 (b) -2/7 (c) 224/13
b
What is the nearest to -1156 in 0, 5, -13?
-13
Which is the nearest to 135? (a) -9 (b) 3/4 (c) 4 (d) 2/7 (e) -20
c
What is the closest to 2/1363 in 1, -4, -12?
1
What is the nearest to -0.1 in 113.2, -6, -1/6, 2/9?
-1/6
Which is the closest to 2/3? (a) -17 (b) 0.1 (c) -6 (d) -0.2
b
What is the closest to -1/6 in -3, 698/7, -2?
-2
What is the nearest to 19 in 1, 0.2, -3/8, 120?
1
Which is the nearest to 4/7? (a) -3 (b) -7 (c) 12 (d) 2/5 (e) -0.5
d
What is the nearest to 9 in 0, -0.04, -5, -1?
0
Which is the nearest to 0? (a) -42 (b) 0.00009 (c) 0.1
b
What is the nearest to -1 in -938, 2, 16?
2
What is the nearest to -470 in -0.068, 0, -5?
-5
What is the nearest to 2 in 6/11, -3, -23, 0.5?
6/11
Which is the nearest to 2? (a) -5 (b) 5 (c) 20 (d) -1/8
d
Which is the nearest to -0.13? (a) 2/3 (b) -25 (c) -3/7 (d) -5 (e) 3
c
Which is the closest to 1.2? (a) 169 (b) -0.08 (c) -0.02
c
Which is the nearest to -1? (a) 7 (b) 0.3 (c) 1 (d) 130
b
What is the closest to -0.6 in -3/2, -4/11, -221, 0.1, -3?
-4/11
What is the nearest to 166 in 1/7, 144/11, 2/3?
144/11
What is the closest to -9 in 10, 4/5, 5, 3?
4/5
Which is the nearest to -3? (a) 4 (b) 0.2 (c) -1 (d) 282
c
What is the closest to 1/4 in 4/11, 17793, 0.2?
0.2
What is the nearest to 0.3 in -79, -4/11, -3/4, -23?
-4/11
What is the nearest to 68 in 3, -5, -3/7, -0.14?
3
Which is the nearest to 1/2? (a) -1 (b) -4/421 (c) 0
c
What is the closest to -36 in 5, 49, 4, 1/2?
1/2
What is the nearest to 1/11 in -2.1, -6, 8?
-2.1
Which is the nearest to -1? (a) -45827 (b) 2/7 (c) -2/9
c
What is the closest to 3 in -6/79, 44, 5?
5
What is the closest to -36 in -0.4, 4, -307?
-0.4
What is the nearest to 17/7 in 1, 34/5, -1/5?
1
Which is the nearest to 544? (a) -0.307 (b) -0.4 (c) -2
a
Which is the nearest to 0? (a) -23 (b) -1/5 (c) 1 (d) 2/3 (e) 134
b
What is the nearest to -2 in 1228, 0.3, -0.3, 1/3?
-0.3
Which is the nearest to 65? (a) -5 (b) -10 (c) -0.5 (d) 2
d
What is the closest to -4.1 in 0, -5, 11, -4/5?
-5
Which is the nearest to 2/7? (a) 19 (b) 4 (c) -0.106
c
Which is the nearest to 27? (a) -49 (b) -0.5 (c) 2/3 (d) -5
c
What is the nearest to -2 in 0, -0.4, -3, -9, -1.3?
-1.3
Which is the closest to -1? (a) -3 (b) 0.1 (c) 386 (d) -20
b
Which is the nearest to 1? (a) -2/5 (b) 0 (c) 103 (d) -0.19
b
What is the nearest to 1/5 in 1/5, 4, 5/4, 1?
1/5
What is the closest to 11 in -57.8, -0.1, -2/11, 2?
2
Which is the closest to -0.1? (a) -5/143 (b) -4 (c) 3 (d) -0.5
a
Which is the closest to 1/4? (a) -3 (b) 7771 (c) -2/15
c
What is the nearest to 0 in 13, 20, 0.3, 0.4?
0.3
What is the closest to 243 in 1, 0.49, 2, 0.1?
2
Which is the nearest to -0.2? (a) -0.2 (b) -2 (c) 2/3 (d) 2/641 (e) -4/5
a
Which is the closest to -1/2? (a) -7 (b) -3/4 (c) -2 (d) -0.02 (e) 93
b
Which is the nearest to -0.01? (a) -35 (b) -2/5 (c) -2/249
c
What is the nearest to -5 in -0.3, -323, -3/8, 4?
-3/8
Which is the nearest to -469? (a) 3/7 (b) 2/11 (c) 9
b
Which is the nearest to 0.3? (a) -2 (b) -11 (c) 1/7 (d) -4 (e) -21
c
What is the nearest to 0 in 2, 5, 8/3, -0.2, 8?
-0.2
Which is the closest to 2/9? (a) 33 (b) 5 (c) -12 (d) -0.5
d
What is the nearest to 0.0873 in -1/3, -2/5, 5?
-1/3
What is the nearest to -1 in 10, 0.4, -11, -0.8, 1/5?
-0.8
What is the nearest to -1/12 in 6/5, -2/7, 484?
-2/7
What is the closest to 2 in -0.2, -4, 3, 0.056?
3
What is the closest to 1.607 in 0.2, 1, -4, 2?
2
What is the nearest to 2/9 in 0.04, 0.268, 51?
0.268
Which is the closest to -4/9? (a) 25/4 (b) 3 (c) 0 (d) -11 (e) -0.5
e
What is the closest to 0.1 in -6837, -0.4, -0.3, 0?
0
What is the closest to 2/23 in 3/10, -2/19, 11.84?
-2/19
Which is the nearest to -0.1? (a) 1 (b) -1 (c) 28/3 (d) 175
b
What is the nearest to 1 in -6/5, 1, 0.0028, -5?
1
What is the closest to -0.1 in 0.3, -3/7, 374, -0.2?
-0.2
What is the closest to 0.7 in -0.5, 6/47, 14?
6/47
Which is the closest to -81? (a) -1/4 (b) 1/7 (c) 1 (d) 1/3 (e) -5
e
Which is the nearest to -0.8? (a) 17 (b) -14/17 (c) -11/2
b
What is the closest to 1/12 in 1/77, -5, 0.3?
1/77
Which is the closest to 10? (a) -4/9 (b) -1/3 (c) 3/19 (d) -1/5
c
What is the closest to 0.08 in -50.9, 1/7, -1.7?
1/7
What is the closest to -0.189 in -5, -2/5, 3/7, 0.3, 0?
0
What is the nearest to -1/4 in -4/13, 6, -5, 27, -6?
-4/13
What is the closest to 6 in 2, -4/3, 5571?
2
What is the closest to 0.2 in 0.4, 1/2, 8.932, -2?
0.4
What is the nearest to 0.108 in -0.4, 0.048, -2, -14?
0.048
What is the closest to 2 in -788, 1/5, 6?
1/5
What is the closest to -0.1 in -82, 1136, 3?
3
Which is the closest to 3? (a) 599/7 (b) -2/7 (c) 49
b
What is the nearest to -12/5 in 3/4, -19, 2, 0, 62?
0
What is the closest to 11650 in 5, -4/7, 3/4?
5
What is the nearest to 19 in 6, 0, 1, -42, 0.03?
6
Which is the closest to -9? (a) 30 (b) -1/5 (c) 4 (d) -2
d
What is the nearest to 0.1 in 2/9, -3/12458, 1/3?
-3/12458
Which is the nearest to -0.1? (a) 0.4 (b) 16 (c) 24 (d) -2/7 (e) -28
d
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
.
959407.85
Work out 0.18719 * -0.3.
-0.056157
Work out -212.8 * -32.696.
6957.7088
What is the product of -0.7 and 4611380?
-3227966
Product of 0.709648 and 35.
24.83768
Calculate -4103.148014*-0.4.
1641.2592056
Work out -6 * 232599.
-1395594
-4 * -3248646.2
12994584.8
Product of 4 and -70.9851.
-283.9404
What is 99 times 260519?
25791381
37563.3*41
1540095.3
What is 134 times -951433?
-127492022
44.25 * 5362
237268.5
Multiply -14336 and -1.0654.
15273.5744
What is -0.226 times 328490?
-74238.74
What is the product of -5 and -2950.32?
14751.6
Product of -340583 and -114.
38826462
-0.2*-18288.43
3657.686
Multiply 22498184 and -2.
-44996368
Multiply 2910 and -499.71.
-1454156.1
-4*-1933.317
7733.268
16*-926836
-14829376
What is the product of -0.039121 and -14.9?
0.5829029
11.32677 * 246
2786.38542
Work out 995 * -7512.3.
-7474738.5
Work out -17.1083 * -211.
3609.8513
-10475169 times 0
0
Product of 73 and -63513.2.
-4636463.6
0.018556*-0.051
-0.000946356
4*16219553
64878212
-173775.5*-6
1042653
Calculate 0.1*-80.772.
-8.0772
6045*-242
-1462890
Calculate 0.4*-22990575.
-9196230
-60485 * 231
-13972035
What is -143761009 times -1?
143761009
1.854*1899.1
3520.9314
-77 times 1194.37
-91966.49
Product of 1 and 247.4284.
247.4284
-0.95*1087320.2
-1032954.19
Multiply -1330385 and -1.
1330385
-55.598 times 39
-2168.322
-1.2264608 * 69
-84.6257952
Product of 214.42 and 4.46.
956.3132
What is the product of 1.7 and -5365601.8?
-9121523.06
Calculate 100*-68174.
-6817400
0.1353*-19.8529
-2.68609737
What is the product of -21 and -0.1373711?
2.8847931
Multiply 2.5 and 9093003.
22732507.5
What is 34435785 times 0.4?
13774314
Multiply -18 and -28027544.
504495792
What is the product of -0.4 and 5336.4466?
-2134.57864
What is 3725 times 38025.2?
141643870
11.406325 * 4.6
52.469095
43578.189*2
87156.378
What is the product of -10325059 and 0.22?
-2271512.98
What is the product of -242486 and 7?
-1697402
5 * 0.00239901
0.01199505
What is -34006 times -1.93?
65631.58
What is the product of -0.3 and 1016.7624?
-305.02872
What is the product of 3 and -121873110?
-365619330
0.22 times 1136346
249996.12
0.5 times -2580781
-1290390.5
What is 9636 times 227.35?
2190744.6
Calculate -83915*0.029.
-2433.535
Multiply -105 and -322936.
33908280
Work out -0.4 * -90721757.
36288702.8
Work out -1.433 * 6.3647.
-9.1206151
Multiply -8234 and -10648.
87675632
What is -421 times -1465.1?
616807.1
-887718 times 0.2
-177543.6
-1602632 times -74
118594768
-3.5*2187520
-7656320
-0.81471 * 0
0
Work out 1389.3988 * -0.2.
-277.87976
Calculate 41186063*15.
617790945
-252500996 times -2
505001992
-2 times 5.660249
-11.320498
Work out -414.219 * 17.
-7041.723
Work out 0.85 * 2529.88.
2150.398
Calculate 48*1.111.
53.328
Work out 26 * 1.92406.
50.02556
0.66058552*-0.1
-0.066058552
Product of -0.608126 and 165.
-100.34079
Work out -7459 * -8647.
64497973
0 * 2642052.08
0
Work out 0.08 * -272174.
-21773.92
Product of -1 and -18021961.
18021961
Product of 2 and -54830.88.
-109661.76
Multiply -7.4 and -740779.
5481764.6
-287122 times 6
-1722732
-1*62.5197
-62.5197
Work out 12873 * -0.4.
-5149.2
3825150*-2
-7650300
What is the product of -1117407 and -0.08?
89392.56
2041761 * 11
22459371
16 times 1591660
25466560
27385985 times -1
-27385985
What is the product of -17 and 1017.0684?
-17290.1628
Product of 0.25544 and -318.
-81.22992
Product of 0 and 7832.08.
0
Multiply 885.69863 and -3.
-2657.09589
0.5*292.018429
146.0092145
Work out -310 * -906118.
280896580
What is 12 times -7.55247?
-90.62964
Calculate 2021057*4.
8084228
Multiply 1.132673 and 0.098.
0.111001954
Calculate 1278.1*-8016.
-10245249.6
Product of -0.04913 and -431.
21.17503
-0.128133 times 105
-13.453965
Work out -0.7 * 10209032.
-7146322.4
What is 0.02314 times 81.773?
1.89222722
Multiply -44576468 and -0.2.
8915293.6
-60 times -104025
6241500
What is the product of 0.4 and -64049.232?
-25619.6928
-210 * 0.15211
-31.9431
Work out -0.2 * -5887304.
1177460.8
5 times 73490552
367452760
Calculate 6.2*1579943.
9795646.6
What is the product of 298222 and -0.0424?
-12644.6128
Multiply 1 and -2104.20335.
-2104.20335
Product of -26731705 and 0.
0
-17 times -6558399
111492783
Work out -0.10678155 * -0.5.
0.053390775
4 * 24214
96856
-0.0277572 times 29
-0.8049588
What is 11215294.05 times 0.2?
2243058.81
Calculate 33.6794*-0.023.
-0.7746262
-15150791 * -0.2
3030158.2
Product of -2813 and -0.19465.
547.55045
What is the product of 224.8 and 0.986?
221.6528
Multiply -1030398236 and 3.
-3091194708
Multiply -230068 and 0.093.
-21396.324
Multiply -1604957 and -0.5.
802478.5
Product of 9.1415242 and -3.
-27.4245726
5 * 6955115
34775575
-0.1027 times 3602.8
-370.00756
What is the product of 497.1 and 3870?
1923777
Calculate 2471*2678.
6617338
-5126*5277
-27049902
Calculate 204802.368*-0.3.
-61440.7104
Work out -0.1 * 18805.6.
-1880.56
Product of -31510038 and 19.
-598690722
What is the product of 0.41226 and -185?
-76.2681
-0.084 times 1.60041
-0.13443444
Product of 4 and -3384068.
-13536272
Calculate 231.23*0.21.
48.5583
Work out 26.1271 * -2.
-52.2542
What is -0.08 times 23156324?
-1852505.92
-3.50338*-0.129
0.45193602
Work out -0.0167485 * -13.8.
0.2311293
0.024941*-3.852
-0.096072732
Calculate -3571627*-0.07.
250013.89
What is 0.8 times 7187?
5749.6
Multiply -0.1821 and 27.9829.
-5.09568609
-45 times -0.105644
4.75398
46483 * -0.046
-2138.218
-3453 times -765
2641545
What is the product of 0.1 and 4.72982?
0.472982
What is the product of -0.3 and -37539793?
11261937.9
What is -105.5 times 17312?
-1826416
0.12228365 times -28
-3.4239422
Work out 172820 * 91.
15726620
Multiply -32316453 and 3.
-96949359
Calculate -1678024*-0.377.
632615.048
What is 135991 times -12.4?
-1686288.4
What is the product of -0.1728 and 30840?
-5329.152
-6438528*5
-32192640
Multiply 0.1 and 310.7297.
31.07297
0*-106558119
0
Work out -0.44 * 0.3159.
-0.138996
What is the product of 59.6 and -1171?
-69791.6
Work out 1.1 * -4851674.
-5336841.4
-3472379*-0.01
34723.79
What is the product of 564340 and 1?
564340
Multiply -132.858 and -0.5.
66.429
514859 * -1161
-597751299
Multiply 0.10557 and 0.08809.
0.0092996613
Work out 181984 * -0.01.
-1819.84
Product of 0.7468 and -0.34212.
-0.255495216
Work out -574 * 65578.
-37641772
967.46*783
757521.18
Multiply 30.232766 and 4.
120.931064
Calculate -81.19*-29.708.
2411.99252
Work out -0.86 * -1495930.
1286499.8
What is the product of -75898 and 17.6?
-1335804.8
Multiply 1.9 and 219490.
417031
What is 0.06 times -18.2901?
-1.097406
-222.27 times -115
25561.05
-306.2*-2071
634140.2
Calculate 222*-302185.
-67085070
Multiply -161.171 and 1.669.
-268.994399
Work out 13 * 1711879.
22254427
2197865 times 239
525289735
Multiply 299.1628 and 2.
598.3256
-54*-10664.5
575883
Work out 0.0633229 * 585.
37.0438965
12064.54*0.074
892.77596
Calculate 5171*-113423.
-586510333
Calculate -1139774.6*15.
-17096619
-5 times -24.72024
123.6012
Product of 25 and -91400.3.
-2285007.5
What is the product of -0.046 and -2.35843?
0.10848778
74313.241 times -4
-297252.964
What is the product of -229 and -1.94999?
446.54771
What is the product of -88 and -24.48606?
2154.77328
-0.1 * -74507
7450.7
Calculate 2.251*-381941.
-859749.191
What is the product of -10240 and 0.0874?
-894.976
Work out -159 * -49451.7.
7862820.3
1931 * -5.3517
-10334.1327
What is the product of 676 and -9.2973?
-6284.9748
Product of -9 and 732.447.
-6592.023
What is the product of 0.31549355 and -0.3?
-0.094648065
4*-12189946
-48759784
Multiply -5 and -15192.
75960
What is 1879 times -8127?
-15270633
Work out -1 * 13395183.
-13395183
What is the product of -255 and -31139?
7940445
Calculate 3305.4*9.97.
32954.838
What is 283567.2 times -0.01?
-2835.672
What is -211081748 times -2?
422163496
37838 * 0.08
3027.04
Multiply -0.124 and -176520.
21888.48
What is the product of 23 and 1210392?
27839016
3*9790641
29371923
3.099949 * -5
-15.499745
-1.121 * -1187.46
1331.14266
What is -4 times -9.6844186?
38.7376744
12 * -829541
-9954492
Work out 204922.29 * -5.
-1024611.45
-78385 times -1691
132549035
What is -50 times 72965?
-3648250
Product of -18798.54 and -163.
3064162.02
Multiply -2606675 and 6.
-15640050
7 * -2637375
-18461625
Calculate 8227.078*-0.037.
-304.401886
55 * 11.428
628.54
Multipl
|
{
"pile_set_name": "DM Mathematics"
}
|
c.
-3
Solve -i = 2*r + 4*i - 6, 4*r = -3*i - 2 for r.
-2
Solve -3*q + 7 = 4*x, 0 = 4*q - 2*x + 39 - 41 for q.
1
Solve 3 = -c + 2*q, 0 = -5*c + c + 4*q - 12 for c.
-3
Solve 0 = u + 4*f + 42 - 26, 5*u - 5*f = -5 for u.
-4
Solve -o - 6 = -4*u + 2, -5*o = 2*u + 18 for o.
-4
Solve 56*u + 12 = 55*u - 4*j, j + 3 = -3*u for u.
0
Solve 3*i - 1 = -3*q + 2, 0 = -5*i + 3*q + 21 for i.
3
Solve 4*h - 14*m + 18*m = 40, -5*h = -3*m - 10 for h.
5
Solve -3*m - 13 = -0*y + 5*y, m - 29 = 5*y for m.
4
Solve -7*k + 20 = 2*i - 3*k, -2*i + 4*k + 4 = 0 for i.
6
Solve -3*c = o - 5, 0 = -3*c - 5*o + o + 20 for c.
0
Solve 2*f - 26 = 6*f + 3*l, 3*f + 9 = 3*l for f.
-5
Solve -5*r = -2*h + 25, 13*r = 8*r - 4*h - 25 for r.
-5
Solve -3*d = s - 11, d - 2*s + 3 = 16 for d.
5
Solve -2*l + 18 = -3*p, 3*l = 3*p - 13 + 34 for p.
-4
Solve -3 - 9 = -4*d - 4*a, -d + 3*a = 9 for d.
0
Solve -8*u + 12*u = -5*b - 4, 0 = -4*u + 4*b + 32 for u.
4
Solve -3*w + d = 0, 2*d + 7 - 2 = w for w.
-1
Solve 16*x - 13*x - j + 11 = 0, 5*x + 21 = 3*j for x.
-3
Solve -3*j + 4*b - 60 + 37 = 0, -4*b + 18 = -2*j for j.
-5
Solve -2 = 3*q - 2*t - 11, -15 = -5*q + 5*t for q.
3
Solve 6*p + 19 = -2*u + p, u = -2*p - 7 for u.
3
Solve -5*n + n + 6 = 2*z, 3*z - 9 = -3*n for z.
3
Solve 4*q - 12 = 0, -7*q + 6*q = -5*b - 23 for b.
-4
Solve 157*b = 4*x + 155*b - 18, 4*x + b - 9 = 0 for x.
3
Solve 4*s - 20 = 0, 0 = -4*w + 2*s - 5*s + 27 for w.
3
Solve -4*n + 3*b + 16 = 0, -3*n + 28*b - 26*b = -12 for n.
4
Solve 5*s - 4*a - 3 = -0*a, s + 5*a - 18 = 0 for s.
3
Solve -5*y + 5 = 3*x - 0*y, 5*y = x - 15 for x.
5
Solve 3*g + 3*d - 11 = 2*g, 4*g - 4*d + 36 = 0 for g.
-4
Solve -2*u - 4*y = 0, 0 = 3*u + 2*y - 0*y - 4 for u.
2
Solve -4*t - b = -t + 14, 0 = -4*t + b - 21 for t.
-5
Solve 40*q - 38*q - 4*u - 30 = 0, -15 = q + 4*u for q.
5
Solve 2*u + 2 = 0, 40*h + 3*u + 3 = 38*h for h.
0
Solve 20 = 5*w - 5*p, 10 = 4*w - 3*p - 6 for w.
4
Solve i - 4 = 2*a, -1 = -2*a - 9 for i.
-4
Solve 0 = 2*h + 5*n + 5 + 11, -5*h - 2*n = 19 for h.
-3
Solve -k + 5*j + 30 = 0, -k + 112*j - 111*j + 10 = 0 for k.
5
Solve 14 = -4*c + u, -6*c - 17 = -c - u for c.
-3
Solve 4*q = -2*g - 8, 0*q + 2*q = -2*g for g.
4
Solve 7 + 30 = 5*l - 4*r, 2*l - 4 = -2*r for l.
5
Solve -y - 16 = -q - 5*y, 2*q - 2*y - 2 = 0 for q.
4
Solve -6 = -w - a + 2*a, 5*a + 5 = 0 for w.
5
Solve -5*p + 32 = 5*z - 2*z, -3*z = -12 for p.
4
Solve 23*o + 2*n = 22*o + 4, 0 = -4*o - n - 5 for o.
-2
Solve -y - 2*y - 3 = j, 4*j - 3*y = 18 for j.
3
Solve 0 = -4*i - 2*o + 30, -2*i - 11*o + 35 = -6*o for i.
5
Solve 0 = -2*x + r - 1, 2*r + 13 = -x + 5 for x.
-2
Solve -5*r - 12 = -2, t + 7 = -2*r for t.
-3
Solve -4*m + 5*g = -4 + 41, 23 = -m + 4*g for m.
-3
Solve 2*j + 0*h + 10 = -2*h, 2*j + 3*h = -13 for j.
-2
Solve 4*g + 4*f = -0*f, 0 = -4*g - 2*f - 10 for g.
-5
Solve 4*l - 36 = 4*v, -5*l = 5*v - 60 + 45 for v.
-3
Solve 15 = -g - 4*n, 23*g - 21*g - 2*n = 0 for g.
-3
Solve -4*x - 6 = -2*r, -3*x = 4*r - 9*r + 15 for x.
0
Solve 0 = -4*s - 8 - 0, 0 = -5*j + s - 8 for j.
-2
Solve -w + 14 = -2*v + 7*w, 12 = -5*v - 3*w for v.
-3
Solve -f + 12 = -2*f - 4*q, -20 = -2*f + 3*q for f.
4
Solve 49*b = 46*b + 2*x - 15, x = b + 5 for b.
-5
Solve w - 2 + 15 = 2*k, 8 = k - 2*w for k.
6
Solve -i - 3*x + 2 = 0, 21*i = 25*i + 4*x for i.
-1
Solve 4*h + 14 = -2*c, 3*h - 4*c + 10 = -6 for h.
-4
Solve -4*s - 24 = -4*b, 0 = 28*b - 23*b - 2*s - 18 for b.
2
Solve 3*p - 5*z = -16 + 1, -z = -p - 3 for p.
0
Solve 3 = -w, 3*r + 18*w - 13*w + 18 = 0 for r.
-1
Solve 0 = -2*c - 5*r + 39 - 52, 5*r - 7 = 3*c for c.
-4
Solve -52*s = -51*s + 4, -23 = r + 5*s for r.
-3
Solve 2*r + 3*l + 2 = 0, -4*r + 2*r = 5*l + 10 for r.
5
Solve -5*p + x + x + 9 = 0, 5*p - x - 12 = 0 for p.
3
Solve -k = 19*b - 17*b - 8, -4*k + 20 = 4*b for k.
2
Solve 3*h = f + 4*h, 0 = 3*h - 9 for f.
-3
Solve -4*f - 28 = -4*h, 0 = -2*h - 3*f + 14 - 15 for h.
4
Solve 3*t + 10 = -4*o, 2*o + 12 = o + 4*t for o.
-4
Solve -12 = -4*a + 4*p, 2*a - 3*p = 1 + 3 for a.
5
Solve 0 = -v - 4, -4*k + v = -4*v - 40 for k.
5
Solve 0 = -4*l - 4*j + 12, -4 + 1 = -l - 3*j for l.
3
Solve 0 = 3*h - b + 6 + 2, 2*h + 4*b - 18 = 0 for h.
-1
Solve -22 = -2*y + 4*v, -4*y + v = 2 - 11 for y.
1
Solve -4*o + 0*o = -d, 5*o = -d + 9 for o.
1
Solve 3*u + 6 = 2*d, -26*d + 9 = u - 23*d for u.
0
Solve 3*a - 2*w = 8, -4*w + 6*w = 4 for a.
4
Solve 5*c + 5 = 0, -v + 6*v + 5*c + 25 = 0 for v.
-4
Solve 2*j + g + 1 = 0, -j - 21*g + 19*g + 1 = 0 for j.
-1
Solve -8 = -6*q + 7*q - 4*y, 3*q + 13 = y for q.
-4
Solve -4*f - 25 = -5*x - 6*f, 4*f - 20 = 0 for x.
3
Solve 0 = -2*p - 3*w + w, 5*w = 3*p for p.
0
Solve -1 = -2*a - 5*m, 3*a - m - 11 = m for a.
3
Solve 2*o = -3*b - 25 + 36, 8 = 2*o for b.
1
Solve -36*b + 6 = -38*b + 3*g, 5*b + g = 19 for b.
3
Solve -p + 4 = 3*o, 2*p - 5*o - 18 + 43 = 0 for p.
-5
Solve -5*u + 20 = -3*d, -2*u - d = -3*d - 12 for u.
1
Solve 4*u = 3*v + 7, -3*u + 6*u + 1 = v for v.
-5
Solve -7 = v + x, 2*x + 2*x + 16 = 2*v for v.
-2
Solve -3*i - 15 = 2*v - 1, -4*v = -5*i + 6 for v.
-4
Solve 0 = -4*q + 3*l + 32, 2*l = -0 - 8 for q.
5
Solve 5*v + 5 = 3*r - 10, -3*r - 12 = 4*v for r.
0
Solve 2*s = -2*q, -3*s - 3*q - q - 3 = 0 for s.
3
Solve 0 = -4*c - 4, z - 7*c - 9 = -3*c for z.
5
Solve 17 = 5*g - 3*x, -28*x = -g - 26*x + 9 for g.
1
Solve 1 = -3*r + 2*g, 4*g = -5*r + 5 + 30 for r.
3
Solve -2*c - 12*u + 12 = -8*u, 2*c + 3*u - 9 = 0 for c.
0
Solve 152*r = 151*r - 4*z - 2, 8 = 3*r - 2*z for r.
2
Solve 5*v + 2*p = 9, 4*v - 7 = 4*p - 11 for v.
1
Solve -3*m - 11*f + 10*f + 10 = 0, m + 5*f + 6 = 0 for m.
4
Solve -g = 3*m - 15, -3*g - 4*m - 27 + 52 = 0 for g.
3
Solve -17 = d + 5*f, 4 = 3*d + 2*f + 3 for d.
3
Solve l + o - 17 + 15 = 0, -4*o + 17 = l for l.
-3
Solve -5*d = 2*m + 14, 0*d + 2*d - 3*m = -17 for d.
-4
Solve -3*a + 4*c - 4 = 0, 15 = -3*c + 18 for a.
0
Solve 3*y = -3*z + 6 - 3, z + 1 = 0 for y.
2
Solve -3*a + 4*r = 21, 2*r = 155*a - 151*a + 8 for a.
1
Solve 3*q - 24 = 3*b - 8*b, 5*q + 2*b - 21 = 0 for q.
3
Solve -2*n - 5*u - 10 = 0, n - 4 = -5*u - 19 for n.
5
Solve 0 = 2*z - 3*h + 38 - 20, 5*h = 4*z + 32 for z.
-3
Solve -3*x = -5*g - 0*g - 24, 0 = 5*g + 15 for x.
3
Solve -4*p = j - 13, 0 = 17*j - 14*j - p for j.
1
Solve 2*a - 70*o = -69*o - 1, -2*o = -a + 4 for a.
-2
Solve 20 = 4*x, -4*x = 3*y - 3 - 5 for y.
-4
Solve -u + 7*c = 6*c + 2, -u + 2*c + 1 = 0 for u.
-5
Solve 4*v = 24, 0*n - 4*v + 24 = 5*n for n.
0
Solve -3*f + 3*v = 0, 4*v - 6*v = -f - 4 for f.
4
Solve 2*i - 6*l - 6 = -l, 4*i - 2*l - 12 = 0 for i.
3
Solve -5*b + 0*b - p = 13, -2*b - 16 = -5*p for b.
-3
Solve -5*z - 10 = 2*t, -3*t + 4 = 2*z + 8 for t.
0
Solve h - 2 = -0*h + 2*q, -5*q - 15 = 0 for h.
-4
Solve -6 = -2*f - 2*p - 2, -f - 5*p + 22 = 0 for f.
-3
Solve 0*i - 17 = -k - 5*i, -16 = -2*k - 4*i for k.
2
Solve 0*f + 2*p - 5 = -5*f, -p = -5 for f.
-1
Solve -2*u + g = -8 - 5, 0 = -5*u + 2*g + 31 for u.
5
Solve 83 - 92 = t + 2*x, -x = 5 for t.
1
Solve -l - 2*s - 3 = 0, 2*l = 179*s - 174*s - 15 for l.
-5
Solve 9 = 46*v - 49*v, 2*x - 4*v = 18 for x.
3
Solve -4*x - 13 = -2*c - 3*c, 0 = -3*x + 5*c - 16 for x.
3
Solve -56 = 2*a - 60, -u + 5*a = 6 for u.
4
Solve -4*f + 3 + 13 = -a, -20 = -5*a - 5*f for a.
0
Solve 3*z = 3*l + z - 20, 5*l - 2*z - 28 = 0 for l.
4
Solve 3*g - 7*g = -8, 4*a + 18 = g for a.
-4
Solve -4*c - 13 = -5*w, -226 = c + w - 234 for c.
3
Solve -6*u = -5*q - 2*u - 7, -4*q + 5*u - 11 = 0 for q.
1
Solve 2*x - 7 = -3*w, -11*w + 6*w - x = 0 for w.
-1
Solve 4*j - 8 = 4*x, -3*j - 6 = 3*x - 0 for j.
0
Solve -76*p + 15 = 5*w - 75*p, -2*w - 5*p = -6 for w.
3
Solve -3*u = -2*r - 6, 5*r - 3*u = -3 + 6 for r.
3
Solve 4*n + 34 = -7*p, 5*p + 2*n + 16 = 2*p for p.
-2
Solve -9 = 5*c + b, -5*c + 4 + 3 = -3*b for c.
-1
Solve x = -2*l - 6, -26*x - 40 = -31*x + 4*l for x.
4
Solve -2*h = -j + 2*h - 14, 20 = 5*h for j.
2
Solve -3*q - 75*z - 6 = -73*z, -3*q = 3*z + 9 for q.
0
Solve 3*y + 4*n = 13, 2*y - 4*n = -n + 3 for y.
3
Solve 5*y - 5*a + 3*a = 11, 0 = 4*y - a - 10 for y.
3
Solve 0 = 4*w - 2*w + 2*z, 6 = 4*w + 2*z for w.
3
Solve 15 = -0*z - 3*z, g = 3*z + 17 for g.
2
Solve 4*p + q = -10, 15*p + 12 = 13*p - 4*q for p.
-2
Solve -3*w + 4 - 3 = 5*x, 4*w + 3*x - 5 = 0 for w.
2
Solve g + 8 = 3*u + 5*g, g = 4*u - 17 for u.
4
Solve -14 = -14*y + 13*y - 4*o, 5*y + 26 = 4*o for y.
-2
Solve -3*t - g - 3 = 0, 0 = 5*t + 8*g - 7*g + 3 for t.
0
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
ate p(z).
-7
Let i(l) be the first derivative of l**4/4 + l**3/3 + 3*l - 8. Give i(0).
3
Let r(f) = 3 - 4*f + 2*f - 2*f + 5*f. Calculate r(-2).
1
Let z(o) = -10*o**2 - 2*o + 1. Let l(u) = -11*u**2 - 2*u + 2. Let q(k) = -2*l(k) + 3*z(k). Let p = 1 + -3. Let v be p - 1 - 2*-1. What is q(v)?
-7
Let d(k) = 4*k**3 + 1. Let o(a) = a**3 - 10*a**2 + 9*a + 1. Let c be o(9). Give d(c).
5
Let l be (-6)/(-10) - 2/(-5). Let t(x) be the second derivative of -5*x**3/3 + x**2/2 + x. Give t(l).
-9
Let k(q) = 3 + q + 8*q**2 + 0 - q**3 - q**2. Let h be k(7). Suppose 5*a = 5*o - h, -3*o + 9 - 28 = 2*a. Let v(c) = -c**3 - 4*c**2 + 5*c. Determine v(a).
0
Let d(z) be the first derivative of 5/2*z**2 + 1/3*z**3 - 5*z + 3. Let a = 1 + -6. Determine d(a).
-5
Let n(s) = 3 - 4*s + 2*s**2 + s**2 - 2*s**2. Let k = 9 + -2. Let a = 11 - k. What is n(a)?
3
Let n(d) = -d**2 + 7*d - 8. Let x be n(6). Let l(s) = s. Let i(h) = -h**2 + 2. Let t(c) = i(c) + 3*l(c). Give t(x).
-8
Let s(m) = -m + 2. Let v(t) = -t + 2. Let g(z) = -2*s(z) + 3*v(z). Suppose -2*h - 3*h + 20 = 0. Suppose -16 = -4*j + h. Calculate g(j).
-3
Suppose 3*w + 16 = -w - 4*q, -5*w + q = -10. Let t(p) = 5*p**2 - p + 1. Give t(w).
5
Let j(v) = 2*v - 5*v - 5*v**2 + 2*v**2 + 4*v**2 + 2. Suppose b - 3 = -0. Let h be b + ((-4)/2)/(-2). Calculate j(h).
6
Let f(v) = -4*v + 6. Let g(m) = -5*m + 7. Let b(q) = -6*f(q) + 5*g(q). Let u(t) = t**3 + 14*t**2 + 48*t + 3. Let l be u(-6). Calculate b(l).
-4
Let n(s) be the first derivative of 4 - 2*s + 1/3*s**3 + s**2. What is n(-3)?
1
Let l = -4 - 1. Let w(i) = -i**2 - 3*i + 7. Let h be w(l). Let d(c) be the third derivative of c**4/8 + c**3/2 - 2*c**2. What is d(h)?
-6
Let z(b) = b**2 + 6*b - 1. Suppose -36 = 10*t - 4*t. Calculate z(t).
-1
Let o(q) = -3*q - 1 + 0 + 5*q - q. What is o(-2)?
-3
Let v(i) be the second derivative of i**4/12 + 5*i**3/6 - 3*i**2/2 - 2*i. Determine v(-5).
-3
Let n(d) = d**3 + 5*d**2 + 7*d + 7. Let y = 10 - 4. Let p(c) = -c. Let g(v) = y*p(v) + n(v). What is g(-5)?
2
Let d(a) = -5 - 5*a**3 - 5 + 2*a**3 + 3*a - a**2. Suppose -2*s + 2 - 4 = 0. Let j(h) = h**3 - h + 1. Let c(i) = s*d(i) - 2*j(i). Give c(0).
8
Suppose -20 = -2*d + 4*g, -25 = -4*d + g + 2*g. Let v be d/(-12) + (-92)/(-6). Suppose 6 - v = 3*t. Let w(n) = 2*n**2 + 5*n + 2. Determine w(t).
5
Suppose 0*a = 4*a. Suppose -n + a = -2. Let o(r) = n*r - 3*r + r - 2*r - 2. Determine o(-2).
2
Let c(h) = -h**3 - h + 8. Let o(v) = v**3 + 9*v**2 + v + 9. Let l be o(-9). Calculate c(l).
8
Let t(w) be the first derivative of w**2/2 + w + 14. Determine t(-3).
-2
Let g(w) = -w**2 - 4*w - 6. Let i = -3 + -5. Let f = 4 + i. What is g(f)?
-6
Suppose -w - 2 = -7. Suppose -5*x + 0 + 5 = 0. Let k be (-2)/x - -3 - w. Let p(d) = -d. Give p(k).
4
Let g = 0 + 5. Suppose g*d - c - 28 = 0, -5*c = -4*d - c + 16. Let u(v) = v - 8. Determine u(d).
-2
Suppose -3*y = 2 + 1, y = 4*s - 37. Let v = -13 + s. Let b(u) be the first derivative of u**2/2 - u - 13. Determine b(v).
-5
Let i(q) = -6 + 7*q + q**2 + q**2 - 3*q**2. Let j = 9 - 3. What is i(j)?
0
Let u be (-2 - (-3 - 0))*4. Suppose -2*b + 4 + 2 = 5*a, -2*a + 4*b + 12 = 0. Suppose a*l = -u - 0. Let o(h) = 2*h**3 + 4*h**2 + 2*h - 1. What is o(l)?
-5
Suppose 4*z + 2 = 6. Let v(i) = -i**2 - i + 1. Give v(z).
-1
Suppose 2*u - 14 + 8 = 0. Let p(d) = -d**3 + 3*d**2 + 3*d - 2. What is p(u)?
7
Let g = -25 + 21. Let t(b) = b**3 + 4*b**2 + 4*b - 2. Calculate t(g).
-18
Suppose 4*j = -z + 21, z + 4*j = 2*z + 11. Let w(p) = -p**3 + 5*p**2 + p - 1. Give w(z).
4
Let m(i) = i**2 + 2*i + 1. Let o(t) = t**3 - 5*t**2 + 5*t - 6. Suppose -n - 5 = -6, -2*n = 3*k - 14. Let d be o(k). Calculate m(d).
1
Let w(m) = -5*m + 3 - 4*m**3 + 3*m**3 - 5*m**2 + 2*m**3 - 2*m**3. Calculate w(-4).
7
Let v(z) = -2*z**2 - 2*z + 3. Let o(x) = 4*x**2 + 4*x - 7. Let y(j) = -4*o(j) - 9*v(j). Calculate y(-2).
5
Let k(y) = -2*y + 8. Let o be k(6). Let f(c) = -c**3 - 3*c**2 + 6*c + 1. Calculate f(o).
-7
Let l(h) = 1 + 5*h**2 + 2*h - h**3 - 4 - 1 - 5*h. Let b = -1 + 5. Calculate l(b).
0
Let t(w) = 5*w + 12*w**2 - 27*w**2 + 8*w**2 + 8*w**2. Give t(-5).
0
Let j(n) = -n + 2. Suppose 13*y - 11*y + 6 = 0. Calculate j(y).
5
Let g = -10 + 10. Let a(x) = 2*x + 6 - x**3 - 6 - 2*x**2 + g*x**3. What is a(-3)?
3
Let s(y) = y + 4*y**3 - 3*y**3 + 6*y**2 - 3 + y. Let r(x) = 5*x**3 + 25*x**2 + 7*x - 11. Let n(t) = 2*r(t) - 9*s(t). Determine n(5).
10
Let x be 2 + -1 - (-3 - -1). Suppose 4*u - k - 7 = -0, -4*u + 5 = -x*k. Suppose u*c = 4*c + 3*s - 5, 2*s - 7 = -5*c. Let y(f) = 4*f**3 - f. Give y(c).
3
Let d(u) be the second derivative of u**3/6 - u**2/2 - 2*u. Suppose 5 + 1 = -3*y. Let t(w) = w**3 + 2*w**2 - w - 1. Let f be t(y). Give d(f).
0
Let c(i) = 2*i + 1. Let x be c(2). Let n(s) = -4*s**2 - 19*s - 21. Let r(z) = -3*z**2 - 13*z - 14. Let h(b) = 5*n(b) - 7*r(b). What is h(x)?
-2
Suppose s + s = 4*l + 12, -3*s = -2*l - 18. Let h(f) = -f**3 + 6*f**2 - f - 2. Give h(s).
-8
Let r = -25 - -20. Let k(y) = -y - 4. What is k(r)?
1
Let u(l) = l**3 + 3*l**2 + 2*l - 2. Suppose 5*f - 6 = 4. Suppose o = -5*b + 11, -3*o - b + f*b + 17 = 0. Let s be (o/(-4))/(3/6). Give u(s).
-8
Let g(q) be the first derivative of q**2 + 2*q - 3. Calculate g(3).
8
Let w(g) = 2*g - 6. Let f be w(4). Let u(v) = 6*v - v**2 + 2 + 0*v**f - v. Determine u(3).
8
Let n(x) be the second derivative of -x**8/6720 + x**7/1260 + x**6/720 + x**5/120 - x**4/6 + x. Let f(h) be the third derivative of n(h). What is f(2)?
3
Let j be -3 + 1 + (-4)/(-2). Let p(g) = g**3 - 4*g**2 + 3*g - 14. Let h(c) = 2*c + 3 - 3*c - 2 + c**2. Let r(o) = 4*h(o) + p(o). Give r(j).
-10
Let b(d) = -7*d**2 - 2*d + 5. Let g(u) = u - 3*u - 11 + 15*u**2 + 6*u. Let y(z) = -13*b(z) - 6*g(z). Let n(h) be the first derivative of y(h). What is n(2)?
6
Let i(w) = 5*w**2 + 2*w + 1. Suppose -3*b + 17 = -5*x, -3 - 1 = x. Let p be b/1*(0 + 1). Give i(p).
4
Let i(j) be the first derivative of j**2/2 + j - 8. Give i(-5).
-4
Let t(g) = -5*g**2 - 3*g. Let d(a) = 3*a**2 + 2*a. Let i(h) = -7*d(h) - 4*t(h). What is i(-4)?
-8
Let q be 14/(-4) + (-6)/4. Let k(m) be the second derivative of m**4/12 + m**3 + 3*m. Give k(q).
-5
Let v = -44 - -48. Let d(h) be the third derivative of 0*h + 2/3*h**3 + 0 - h**2 + 1/8*h**v - 1/60*h**5. What is d(5)?
-6
Let l(o) = -3*o + o**3 + 4 - 5*o**2 + 0*o**3 + 8*o**2. Suppose 4*u + 1 = -15. What is l(u)?
0
Let y = -27 + 25. Let g(k) = k**2 + k + 2. Determine g(y).
4
Let x(n) = n**3 + 4*n**2 - 2*n + 2. Let l = -171 - -166. What is x(l)?
-13
Let x(d) = -5*d**3 + 26*d**2 + 7*d - 9. Let v(b) = 2*b**3 - 9*b**2 - 2*b + 3. Let k(w) = 8*v(w) + 3*x(w). Suppose 12 = -3*t - 3. Determine k(t).
-3
Let r(w) = -5*w**3 - w**2 - 3*w + 1. Let c(x) = -19*x**3 - 4*x**2 - 13*x + 4. Let o be 1*-1 + -4 + 3. Let k(u) = o*c(u) + 9*r(u). Calculate k(1).
-8
Suppose 0 = 4*l + 2*h - 8, -5*l - 3*h + 15 = 3. Suppose l = -3*v + 1 + 23. Let f(b) = b - 5. Determine f(v).
3
Let s(z) = -3*z + 7*z - z + 2 - 4*z. Calculate s(-5).
7
Let l(c) = -2 - 8*c + 2 + 14*c. Determine l(-1).
-6
Let b = -4 - -12. Let g = b - 5. Let u(l) = 5*l**2 - 3 + 0*l**2 - l**g - l + 2. Give u(5).
-6
Let v(j) be the second derivative of -j**5/20 - j**4/3 + 5*j**2/2 + 2*j. Let y(i) = 2*i**2 - 4*i + 3. Let s be y(2). Suppose -13 = 4*a + s. Calculate v(a).
5
Let w = -4 - -9. Suppose -3*d = -4*d + w. Let t(b) = d*b - 3*b + 1 + b + b**3 - 2*b. What is t(0)?
1
Let q(p) be the first derivative of -3*p**2 + 0 - 3 + 4. Let y(l) = -2*l + 9. Let s be y(4). What is q(s)?
-6
Let i(z) = 4*z**2 - 3*z + 1. Let c(o) = 3*o**2 - 9*o + 2. Let b be c(3). Calculate i(b).
11
Suppose -4*c - 29 = -b, b + 5*c - 3*c = -1. Suppose -3*u + b = -0. Let j be u/(-2)*-1*-2. Let g(h) = 3*h + 4. Calculate g(j).
-5
Let f be 0*(0 + (-2)/(-4)). Let v(b) be the third derivative of 0 + 0*b**4 + 1/60*b**5 + 0*b - 2*b**2 + 1/120*b**6 + 1/3*b**3. Determine v(f).
2
Suppose -2*g = -5*q - 7, 3*g - 3*q - 7 = q. Let a(s) = 10*s**3 - s**2 - s + 1. Calculate a(g).
9
Let c(w) be the second derivative of -w**5/20 + w**3/6 - w**2 - 3*w. Suppose -k - 1 + 3 = 0. Determine c(k).
-8
Let q(n) = n - 2. Let c(a) = -2*a + 22. Let x be c(10). Let k(s) = s + 4. Let i be k(0). Suppose i - x = u. Give q(u).
0
Suppose -2*h - 4*c = 3*h + 6, 2*h + 6 = 2*c. Let j(i) be the first derivative of 3/2*i**2 + 3*i - 1/3*i**3 + 2. Giv
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0, 0.10783?
0.10783
What is the nearest to -8.6 in -2.4, -4, 0.1, -13, 1/4?
-13
Which is the closest to 6063? (a) 0.3 (b) -9 (c) -0.4 (d) -2/7 (e) -5/6
a
What is the nearest to -1.8 in 6/5, -1, -0.493?
-1
Which is the nearest to -33/16? (a) -3/7 (b) 0 (c) 348/5 (d) -0.6
d
What is the closest to 265.7 in -3, 0.6, 1/6, 1?
1
What is the closest to 10 in -1.3, -4928, 5?
5
Which is the closest to 1/4? (a) 1/7 (b) 3 (c) -5222 (d) -33
a
Which is the closest to -10/7? (a) -22/5 (b) -2 (c) -4 (d) -3 (e) 9 (f) 256
b
Which is the closest to -8? (a) 0 (b) 2/13 (c) -441 (d) -3 (e) -5
e
What is the nearest to -2 in 9, 41/2, -0.01, 5, 17?
-0.01
Which is the closest to 7? (a) 2/25 (b) -0.4 (c) 0.4 (d) 1/6 (e) 55
c
What is the nearest to 0.4 in -27/2, -1/29, -2/11, -3?
-1/29
Which is the closest to 121/50? (a) -0.1 (b) 1 (c) 6/7 (d) 1.14
d
Which is the nearest to 165? (a) 1/8 (b) -2/9 (c) -42 (d) 4 (e) -5
d
Which is the closest to 4? (a) -2/15 (b) 17.8 (c) 3 (d) 22 (e) 2
c
Which is the nearest to -3/4? (a) -14 (b) 11 (c) 1/3 (d) -1545 (e) 0.5
c
Which is the nearest to -1? (a) 0 (b) -3 (c) -1/7 (d) 145108 (e) -0.1
c
What is the closest to -131/12 in -47, -5, 3?
-5
What is the closest to -1098 in 3, 1, 2/31, -7.4, -1/2?
-7.4
Which is the closest to -13? (a) -1/2 (b) -45 (c) 0.5 (d) 7.5 (e) 0.2
a
What is the closest to -2/3 in -2, 0, 579/55?
0
Which is the closest to 3? (a) 42/125 (b) 5 (c) 3 (d) -28
c
Which is the nearest to -0.234? (a) 657 (b) 8 (c) -5
c
Which is the closest to 2? (a) 2 (b) 3/4 (c) -0.04 (d) 624/43
a
Which is the closest to -2? (a) -4 (b) -1/819 (c) 5 (d) 10 (e) -3
e
Which is the closest to -1575? (a) -0.3 (b) 0.01 (c) 33/7
a
What is the closest to 5 in 7, -2, 1975, 1/11, 14/3, 2?
14/3
What is the closest to -180 in 1.077, -3/4, -1/4?
-3/4
What is the closest to 0.05 in -3, -143, -4/3, -4?
-4/3
What is the nearest to -53 in -9, -143, -2?
-9
Which is the nearest to 71? (a) 0.5 (b) 2/17 (c) -2.8978 (d) 2/5
a
Which is the closest to 2/7? (a) -3.2 (b) -391 (c) 2/3 (d) 0.3 (e) 7 (f) 2/11
d
Which is the nearest to 12/17? (a) -3 (b) 3 (c) 144 (d) -1/6
d
Which is the closest to 2281? (a) -1606 (b) -0.3 (c) -2
b
Which is the nearest to -2? (a) 44 (b) -1009/22 (c) 0
c
What is the nearest to -1 in -2/11, -2/45, 1/6, -1213?
-2/11
What is the nearest to 0.2 in 1, -3, -135, -643, 0.01?
0.01
Which is the nearest to -2.37? (a) 19 (b) -91.5 (c) 0.3
c
What is the closest to 2 in 2, -277/6, -2/3, 77, 4?
2
Which is the closest to -4? (a) 7372 (b) 0.2 (c) 19/3
b
What is the closest to 12 in 4, 2/11, 2/9, -1017, -1/3?
4
Which is the nearest to -0.2? (a) 1.04 (b) -2/15 (c) -2/7 (d) 711
b
What is the closest to -0.1 in 1/8, -385/6956, 0.4, 0.2?
-385/6956
What is the nearest to -1 in 0.4, 0, -66, -2/7, -10.1?
-2/7
Which is the closest to -0.2? (a) -0.2 (b) -4 (c) 95 (d) -24 (e) -0.3
a
Which is the nearest to 1/2? (a) -28302 (b) 0.4 (c) -44
b
What is the nearest to -6/11 in 5, -3, 4, 3, 117/34?
-3
Which is the nearest to 0.1? (a) 4 (b) 5/3 (c) -2/7 (d) -158 (e) -2/29 (f) -37
e
Which is the nearest to -2? (a) -5 (b) 207 (c) 3/5 (d) -235 (e) -0.1
e
Which is the closest to 40? (a) -28 (b) -1.17 (c) 0 (d) 0.01
d
What is the nearest to -3/5 in 435, -5, -0.022, 6/11, 4.1, 1/4?
-0.022
What is the closest to -2 in 1/2, 0.07, 2, -7/87, 5/3, -5/4?
-5/4
What is the nearest to -8/9 in -3, -0.02, -0.4, 0, 71, -2/7?
-0.4
What is the nearest to 1 in -0.1, -39/8, -606, -4, 86?
-0.1
What is the closest to -7/5 in 5, 0.41, 0.4, -2/5, 0.1?
-2/5
What is the nearest to 1 in 3, 0.5, -5, 0.02, -4/7, 1830?
0.5
Which is the closest to 2/7? (a) 0.3 (b) 0.5 (c) 0.4 (d) -11320.2 (e) -0.4
a
What is the closest to 1 in 0.5, -2/365, -0.3, -0.05, -8425?
0.5
Which is the nearest to 79/4? (a) 1/4 (b) -0.02 (c) 49 (d) -2/7
a
What is the closest to -553 in 5, -1, 836?
-1
Which is the nearest to 0? (a) 0.021 (b) 3507 (c) -9
a
Which is the closest to 0? (a) 44 (b) 2 (c) 173 (d) -10 (e) -13
b
Which is the closest to -30/187? (a) -0.2 (b) 4.3 (c) -1/2
a
What is the nearest to -0.1 in 58, 12, 12/11, -5, -4?
12/11
Which is the nearest to 1/1873? (a) -1/10 (b) -1/6 (c) -115 (d) 8
a
What is the nearest to 967 in 0.086, 32, 3, 5?
32
What is the nearest to -10 in -385, -1, -7?
-7
Which is the closest to -0.27? (a) 2/1415 (b) -5 (c) 2/15
a
What is the closest to -2 in -2/17, -1, -32.8446?
-1
What is the closest to -48299 in -3, 5, -5?
-5
Which is the closest to -1? (a) 5.686 (b) 7/2 (c) -3
c
What is the closest to 39 in -4, -5, -1, -0.05, -10/7?
-0.05
Which is the nearest to -1/2? (a) 928 (b) -0.5 (c) 0 (d) 2 (e) 0.2
b
Which is the closest to 0.025? (a) 0.01 (b) 233 (c) 3.54
a
Which is the nearest to 0.2? (a) -2/19 (b) 17/28 (c) 5098 (d) -3
a
What is the closest to 2 in 1/3, -0.1, -1/2, 34, 2/29733, -3/8?
1/3
What is the closest to 1/25 in 0.5, 4, -1/13, -13, -0.332?
-1/13
Which is the closest to 0? (a) -47 (b) 2/5 (c) 0.18 (d) -5 (e) 56
c
What is the closest to -467 in 2, 0.1, -2, -16.1?
-16.1
Which is the nearest to -0.18? (a) 80 (b) -0.1 (c) 10/9 (d) 9 (e) 2/13
b
What is the closest to 0 in 288, 5, 2269?
5
What is the nearest to 0.0778 in 0, 29, -0.05, -0.3?
0
What is the closest to -3 in -4, 17.19, -0.1899, 3?
-4
Which is the nearest to 3? (a) -0.16 (b) -3 (c) 2/7 (d) -296 (e) -5
c
What is the nearest to 19 in 39/5, 0.25, -4, 0?
39/5
Which is the nearest to 2744? (a) -1/3 (b) 0.1 (c) -0.1 (d) -11.2
b
Which is the nearest to -60? (a) -0.5 (b) 14 (c) -1/4 (d) 266 (e) 3 (f) -1/8
a
Which is the nearest to -4? (a) -9 (b) -16.1 (c) -0.5 (d) -2/17 (e) 0.4 (f) 2
c
Which is the closest to -1? (a) -2/19 (b) 154 (c) 4/565 (d) 8 (e) 3
a
Which is the closest to 2/34193? (a) -0.2 (b) 1 (c) 0 (d) -0.7
c
What is the closest to -1 in -5, 0.03, 0.2, 683, -0.4, 33/10?
-0.4
What is the closest to 0.09 in -118, -5, -2/7, 1.1, 0.6?
-2/7
Which is the closest to -1? (a) 18991 (b) 6 (c) 3/2 (d) -1 (e) -5 (f) -3/4
d
What is the closest to 1 in 17, 1, -23, 20362, 0.3?
1
What is the nearest to -0.2 in 7, 5, -1051, -69?
5
What is the closest to 1 in -2, 1/11, 42, -2.131?
1/11
What is the closest to -0.1 in -4, 1/23, -18.261, 3, 0.2?
1/23
What is the nearest to -2 in 1, 2/5, -1580, 0, -41?
0
What is the nearest to -5/3 in 2/15, -3, -196/9, -1/31, 2/21?
-3
Which is the closest to -332? (a) -5/6 (b) -2/13 (c) 19
a
Which is the nearest to 1/17? (a) 0.645 (b) -16 (c) -3/4 (d) 3 (e) -3/2 (f) -0.5
f
Which is the closest to 0? (a) 2 (b) 0.457 (c) -5 (d) -0.6 (e) 154 (f) 3/8
f
What is the closest to -0.3 in -4, -3, -100, 568.7?
-3
Which is the closest to 1? (a) 3 (b) -2 (c) 453055
a
Which is the closest to 253? (a) 3/7 (b) -24 (c) 0.08 (d) 156
d
What is the nearest to 0.6 in -5.16, -1, 33, 0.4?
0.4
What is the nearest to 2 in -1/28, 2/3, -3/7, -0.4?
2/3
Which is the closest to -6? (a) 0.02 (b) 0.4 (c) -4/3 (d) -2 (e) 64
d
Which is the closest to -1.3? (a) -2/5095 (b) 1/5 (c) -7/2 (d) 10
a
What is the closest to -2/5 in -8/63, -0.1, 33/26, -0.2?
-0.2
What is the nearest to 337 in -3.4, -66, -3/7?
-3/7
What is the nearest to 2/61 in 24, -4, -3, 0.39, -87?
0.39
Which is the closest to 2/19? (a) 0.01 (b) -0.1 (c) -0.16 (d) 0.08 (e) 2/13
d
Which is the nearest to 1? (a) 2.9 (b) -9 (c) -4/7 (d) -0.1 (e) 5/4
e
What is the nearest to 47614/5 in -5, 0.5, 1/3, 1, -0.7, -3?
1
Which is the closest to 1/2? (a) -0.3 (b) 571 (c) -76 (d) 0.07 (e) -0.5
d
Which is the closest to -83? (a) 2 (b) 0.3 (c) -8 (d) 3 (e) -1226
c
Which is the nearest to -1? (a) 1/3 (b) -31/13 (c) 7 (d) 3/7 (e) 13
a
Which is the nearest to -3? (a) 20.5 (b) 5 (c) 0.6 (d) 1.4 (e) -4/11
e
Which is the nearest to -1/15? (a) -6814 (b) 0.06 (c) 4
b
What is the nearest to 2/3 in -1327, -6, -0.1, 1?
1
Which is the nearest to 2/3? (a) 0 (b) 0.004 (c) 0.3 (d) 2/157
c
Which is the closest to 0.4? (a) 8/13 (b) 5 (c) 2/13 (d) -1/2 (e) 1/28 (f) 2/9
f
Which is the nearest to 1/2? (a) -8/19 (b) -412 (c) 4 (d) -4 (e) 2/7 (f) 0
e
What is the nearest to 0.2 in 0.5, 6/7, 1/3993, 2/3?
1/3993
What is the closest to
|
{
"pile_set_name": "DM Mathematics"
}
|
y b*b**13*b/((b**(-3)/b*b)/b)*(b**(-2/7))**(1/12) assuming b is positive.
b**(797/42)
Simplify (((l**(-2/7)/l)**(2/41))**38)**(5/9) assuming l is positive.
l**(-380/287)
Simplify (p**(14/5)*(p**(1/16)*p)/p)**(-1/8) assuming p is positive.
p**(-229/640)
Simplify ((w/((w*w**6)/w))/(w**35*w))/(w**(-34)/(w**(-12)*w)) assuming w is positive.
w**(-18)
Simplify (w**(2/9))**(-19/3)*w*(w*w**(3/2)/w)/w*w*w*w*w**0 assuming w is positive.
w**(167/54)
Simplify (w*(w/(w/w**(-3)))/w)/w**(-1/5)*(w*w**(-7/2)*w)/w**(2/29) assuming w is positive.
w**(-1267/290)
Simplify o**(-2/5)/o**15*(o/o**6)**(3/5) assuming o is positive.
o**(-92/5)
Simplify g/g**(-2/25)*g/(g/((g/(g**(-2/11)*g))/g))*(g*g**(5/3))**(-48) assuming g is positive.
g**(-35128/275)
Simplify ((t*t*t/(t*t/(t/t**7))*(t/(t/t**1))/t)/(t**(-2/3))**19)**(-14/5) assuming t is positive.
t**(-322/15)
Simplify (c/c**5)**(-42)/(c/c**1)**(-41) assuming c is positive.
c**168
Simplify (g*(g/(g/(((g/g**(-9))/g)/g)))/g*g*g**(1/5)*(g**(2/5))**11)**34 assuming g is positive.
g**(2312/5)
Simplify ((h*h/(h/(h*h**(1/2)))*h)/h)**(17/3)*h**(-1/3)/h*h*(h*h**(-3/7)*h)/h assuming h is positive.
h**(605/42)
Simplify (r**4*r**(-4))/(r**(4/7)/r**(2/3)) assuming r is positive.
r**(2/21)
Simplify (q**(2/27))**(-12)/(q**(10/13))**38 assuming q is positive.
q**(-3524/117)
Simplify (((m*m**(-8)*m)/(m*m**(2/27)/m))**(-32))**(-37) assuming m is positive.
m**(-194176/27)
Simplify ((z**11/(z/z**(-2)))/(((z/((z**0*z)/z))/z)/(z/(z/z**3)*z)))**34 assuming z is positive.
z**408
Simplify m*m*m**37*m/m**(-2/23)*(m*m**(-17))/m**(-3/11) assuming m is positive.
m**(6163/253)
Simplify g**(-2/19)*g*g/(g*g/(g*g*g/g**(2/19))*g*g)*(g**(-3/7)*g)**(-30) assuming g is positive.
g**(-2175/133)
Simplify (k*k/(k/k**15)*k*k**(-25)*k)/(k**24/(k/(k*k/(k*k**(-1/3)/k)))) assuming k is positive.
k**(-97/3)
Simplify ((n/(n*n*n/(n/(n/(n/(n**(-2/9)*n)*n))*n)))/(n*n/n**(1/4)*n*n))/(n*n**12*n*n**(-10/7)) assuming n is positive.
n**(-4057/252)
Simplify (x*x**(-2/5))**(1/16)*(x*x/x**(-9/2)*x*x)**(-1/4) assuming x is positive.
x**(-167/80)
Simplify z/z**8*z/z**(-2/21)*z**(2/31)*z/(z*z**(5/8)) assuming z is positive.
z**(-33671/5208)
Simplify (q**(-1/9)*q*q**(-8/5))/(((((q/(q*q/(q/((q/(q*(q**5/q)/q))/q))))/q)/q*q)/q)/q**(5/2)) assuming q is positive.
q**(-19/90)
Simplify ((w**(-3)*w**(1/10)*w)/(w/w**1*w*w**2/w))**(-40) assuming w is positive.
w**156
Simplify ((q**(3/4)/q)/q**(3/8)*(q**(-2/7))**(3/22))**(15/11) assuming q is positive.
q**(-6135/6776)
Simplify (((v*v/v**1*v)/v**3)**(2/105))**(-20) assuming v is positive.
v**(8/21)
Simplify (s**(4/3)*s/s**(-20))/(s*s/((s/(s/(s*s/(s/(s/(s*s/(s**(-13)/s)))*s))))/s)*s)**(-2/35) assuming s is positive.
s**(2459/105)
Simplify (r**(-2)/r)**35*(r*r**(-14))/r**(-2/11) assuming r is positive.
r**(-1296/11)
Simplify ((g**(-1)*g**(-3))/((g/(g/g**(-1/10)*g))/g**4))**(-1/18) assuming g is positive.
g**(-11/180)
Simplify (o**(2/9))**11*(o/(o*o**0*o))**36 assuming o is positive.
o**(-302/9)
Simplify c*c*c*c*(c/(c**(5/3)/c))/c*c*c/(c*c/(c/(c/(c**17*c))))*c**(7/5)*c**(-2/5) assuming c is positive.
c**(67/3)
Simplify (((g/(g/((g/g**(24/7)*g)/g)*g))/g*g)**(3/29))**(-34) assuming g is positive.
g**(2448/203)
Simplify (o/o**(2/9))/(o*o/(o*o/(((o/(o/o**(1/6)))/o)/o)))*(o**(-3/4))**(-50) assuming o is positive.
o**(361/9)
Simplify (((l**(-6/11)*l)/l**5)/((l/(l/((l**(-1/3)*l)/l)*l)*l*l)/l**6))**(-14/9) assuming l is positive.
l**(-364/297)
Simplify (z**1)**(-2/15)*z**13*(z*z*z/(z**(19/3)/z)*z*z)/z assuming z is positive.
z**(173/15)
Simplify ((r*r/r**(4/11))**(-32))**(1/8) assuming r is positive.
r**(-72/11)
Simplify (z**8*z*z*z*z**(-7))/((z*z**8)/z*z/(z/(z/(z*z*z*z**(-1/10))))) assuming z is positive.
z**(-21/10)
Simplify (n**4/n*n/((n*n*(n*(n*n**(2/43))/n)/n*n*n)/n))/(n**(2/13)/n*n*n/(n**(-7)*n)) assuming n is positive.
n**(-3466/559)
Simplify (((q**(-2))**(2/47))**42)**42 assuming q is positive.
q**(-7056/47)
Simplify ((z**(2/7)*z*z*z)/z**(-5/6)*(z/z**(-2/7))**46)**(-29/4) assuming z is positive.
z**(-77053/168)
Simplify k*k**(-3/8)*k*k**(-5)*k*k**(-1/2)*k*k**(1/13) assuming k is positive.
k**(-187/104)
Simplify ((a**(-2/3)/a*a*a)**(-1/4)/(a**(-4/3)*a**5))**(-13) assuming a is positive.
a**(195/4)
Simplify ((y/((y/((y/(y*y**(-11)/y))/y)*y*y*y)/y)*y**7)**(4/21))**15 assuming y is positive.
y**(320/7)
Simplify (g**(-34)/(g*g/(g**39/g)))**(-39) assuming g is positive.
g**(-78)
Simplify ((y*(y*y**1)/y)**(-1/42)*y**(1/2)/y*y**(-1)/y)**3 assuming y is positive.
y**(-107/14)
Simplify (i**12*(i*i*i**(-13)*i*i)/i)/(i**1*i)**41 assuming i is positive.
i**(-80)
Simplify x*x*x*x/((x*x**0*x)/x*x)*x*x*x*x**(-12)*((x*(x*x**(2/9))/x)/x)/((x*x**10)/x) assuming x is positive.
x**(-151/9)
Simplify y/(((y/(y*y/(y/((y/y**(-1/22))/y))*y))/y)/y)*y*y**(3/2)*(y**(-2)/y)**(3/4) assuming y is positive.
y**(189/44)
Simplify ((l/l**(3/2)*l)/l**(1/5))/(l*l/(l**(-6)*l)*l*(l/(l*l**(-2/7)*l))/l) assuming l is positive.
l**(-419/70)
Simplify ((k**1*(k*k/k**(-1/4)*k)/k*k)/((k*k**(-2)/k)/(k/(k/k**(-1/7)))))**(1/42) assuming k is positive.
k**(57/392)
Simplify (x**(-26)*x**(-2/65))/(x**7/x**(-1/36)) assuming x is positive.
x**(-77357/2340)
Simplify ((c*c**(2/25))/c*c**(1/19))/(c**6*c)**4 assuming c is positive.
c**(-13237/475)
Simplify ((a/(((a/(a**(-4)/a))/a)/a))/a**7*(a**(-1/3))**(-40))**(7/6) assuming a is positive.
a**(35/9)
Simplify ((o**(-2/57)/o)/(o**(-18)/o))/((o*(o*o**(-6))/o*o*o)/(o*o**16*o*o)) assuming o is positive.
o**(2278/57)
Simplify (y*y**1)**(-12)/((y/y**(-10))/y*y/(y**6/y)) assuming y is positive.
y**(-30)
Simplify (s*s**(-7)*s*s**0)/(s**(-6)*s*s**3/s*s) assuming s is positive.
s**(-3)
Simplify t/t**(-19)*t**9*t*t**(-2/9)/t*t**(-21/4)/t assuming t is positive.
t**(811/36)
Simplify ((l*l*l*(l/l**(6/17)*l*l)/l)/l*(l**(-1)/l)/l)/((l/((l**29*l)/l))/(l/(l*l**(15/4)/l)*l)) assuming l is positive.
l**(1829/68)
Simplify (u*u/(u/(u*u**(2/9))))**(-32/7)/(u**(-6)*u*u)**(-2/27) assuming u is positive.
u**(-1976/189)
Simplify (m**(-2/9)*m*m*m**(1/16)/m*m*(m/(m/m**(2/3))*m)**(2/35))**(-44) assuming m is positive.
m**(-21461/252)
Simplify (c**(1/7)/c**(3/16))**(10/11) assuming c is positive.
c**(-25/616)
Simplify ((t/(t**(1/3)/t)*t)**(13/2)/((((t/t**(1/7)*t)/t)/t)/t**(3/5)))**(-36) assuming t is positive.
t**(-22776/35)
Simplify ((w**(-3)/w**2)**24)**(5/13) assuming w is positive.
w**(-600/13)
Simplify ((n**(-25)/n)/(n*n*n**(-21)))/(n**(1/40)/(n*n*n**(-20/7)*n)) assuming n is positive.
n**(-1927/280)
Simplify (((y*y/y**(-21)*y*y)/y**(-4))**(-10))**(2/37) assuming y is positive.
y**(-580/37)
Simplify ((w/(w*w**3)*w**7/w)/(w**(-8)*w*w**(-2)*w))**(2/47) assuming w is positive.
w**(22/47)
Simplify (v**(4/9))**(9/2)*(v*v*v**(-1/39))/v**(-12/5) assuming v is positive.
v**(1243/195)
Simplify (l**8)**35/(l**(-23)*l/((l*l**(1/5))/l)) assuming l is positive.
l**(1511/5)
Simplify (((m*m**6)/m)/m)**(-32)*(m**(-4))**(-4/23) assuming m is positive.
m**(-3664/23)
Simplify (k**2)**(-1/14)*k/(k/(k*k**(-2/9)/k))*k**(-3/5) assuming k is positive.
k**(-304/315)
Simplify ((c**(-4/5))**(-31))**28 assuming c is positive.
c**(3472/5)
Simplify (d**(1/8)*d)**49*(d*d*d/d**(1/36)*d)/d*((d*d**28*d)/d*d)/d assuming d is positive.
d**(6271/72)
Simplify (k**(-8)*k*k*k*k**14*k)/(k*k**(-3/5)*k*k)**(-31/5) assuming k is positive.
k**(622/25)
Simplify ((t*t**(-1/16)/t)/t)/((t*t*t/(t/(t/t**(-17)))*t)/t)*t*t**(-3/13)*t**(-8) assuming t is positive.
t**(-5885/208)
Simplify ((a**(-2/17)*a**(-10))/(a*a**(1/3))**40)**(-19) assuming a is positive.
a**(61484/51)
Simplify (d**(2/3)/d)**(-2/3)*d**(-5/4)/(d/(d*d**(-2))) assuming d is positive.
d**(-109/36)
Simplify (s**(-4)*s*s)**(-40)*((s**3*s)/s)**(-7) assuming s is positive.
s**59
Simplify (m**(-1))**(-3/19)*(m**(-2/5))**(2/51) assuming m is positive.
m**(689/4845)
Simplify (f/(f*f**(-2/77)*f))**(-11)/(f**(-9)*f**(-2/23)) assuming f is positive.
f**(3188/161)
Simplify (((((b*b**22)/b)/b)**(4/13))**(5/14))**(-3/5) assuming b is positive.
b**(-18/13)
Simplify ((o/o**(-2/3))/o*o*o)/(o*o**(-2/11))*((o*o**(6/7)/o)/o)/(o/(o**(-1/28)/o)) assuming o is positive.
o**(-305/924)
Simplify ((p*p**(4/5))/(p/(p/((p/(p*(p/((p**(-20)*p)/p)*p)/p))/p))))**(-2/61) assuming p is positive.
p**(-238/305)
Simplify (((x/x**(-1/4))/x)/x**7*(x*x**6/x)/x*x**(-1/5)*x)**(-18) assuming x is posit
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-477/40)
Simplify (((o/(o*o**(-2/13)/o))**(-6/7))**38)**(-49) assuming o is positive.
o**(23940/13)
Simplify s/(s/(s*(s/(s*s**(-3)*s))/s))*(s*s*(s**(-11)/s)/s*s)/s*(s/(s*s**(-34)/s*s*s))/(s*s**17*s*s) assuming s is positive.
s**4
Simplify (g/g**(5/6)*g**(-3/4)/g)/(g*g*g*g**11*g*g*(g*g**(-10)*g*g)/g) assuming g is positive.
g**(-115/12)
Simplify q**8*q*q/(q/q**37*q)*q/((q/(q/q**(1/17)))/q)*q**(-16)*q assuming q is positive.
q**(543/17)
Simplify (x*x/x**4)**(1/8)*(x*x/x**(-1/6))**(29/2) assuming x is positive.
x**(187/6)
Simplify (t**21*t**17)**(26/5) assuming t is positive.
t**(988/5)
Simplify p/p**0*p*p**(4/15)*(p*p**19)**(3/37) assuming p is positive.
p**(2158/555)
Simplify ((z**(1/2))**(-16/5)*z**(-1/9)/(z*z**(-1)))**(2/41) assuming z is positive.
z**(-154/1845)
Simplify u**(2/3)/(u*u**(-4/3))*u**(-13)*u**9 assuming u is positive.
u**(-3)
Simplify (((k*k/(k**(1/5)*k))/k*k)/k*k*k/(k/k**1*k)*(k**(-1))**(1/33))**48 assuming k is positive.
k**(2032/55)
Simplify (l**(5/3)*l/(l/(l*l*(l/l**6)/l*l*l*l))*(((l**(-5/3)/l)/l)/l)/(l/((l/((l**3*l)/l))/l*l)))**(16/7) assuming l is positive.
l**(-16)
Simplify (v**(3/7)/v**(-4/15))/(v/v**11)**(3/5) assuming v is positive.
v**(703/105)
Simplify (f*f**12*f**(-6))/(f*f**4)**1 assuming f is positive.
f**2
Simplify ((x*(x/(x*x/(x*x*x**(-2/11)*x*x*x)*x*x))/x)/x*x)**(-3)*x*x/(x*x**(-1/8))*x*x**5 assuming x is positive.
x**(147/88)
Simplify ((((m/(m*m*m**(-7)))/m)/m**6)/(m**(1/3))**(-2/37))**43 assuming m is positive.
m**(-4687/111)
Simplify (p**(2/5)/p**12*p**(10/7)/p*p**(-4/7))**(1/21) assuming p is positive.
p**(-137/245)
Simplify j**10*j**(-2/17)*j**4/j*j*j*j/(j**9*j) assuming j is positive.
j**(100/17)
Simplify (r**(-5/2)/r*r*r)/r**(-7)*((r*r**(-1/5)/r)/r*r)**18 assuming r is positive.
r**(19/10)
Simplify (q*q/q**(2/7)*q*q**2*q)/(q*q*q**(-1))**(-18) assuming q is positive.
q**(166/7)
Simplify (((((q*q**4)/q)/q)/q)/q)/q**(2/11)*(q**1)**(-9/2) assuming q is positive.
q**(-81/22)
Simplify (w*(w**(-3/13)/w)/w)/(w*w*w**(-8)/w)*(w**(-1/5))**(-1/11) assuming w is positive.
w**(4138/715)
Simplify (r**(7/3)/r**14)/(r/(r**(-1/4)*r))**(-1/3) assuming r is positive.
r**(-139/12)
Simplify c**(15/2)/c*c**(-2/13)*(c*(c**(-2/23)/c)/c)/(c*c**(-2/55)*c) assuming c is positive.
c**(108391/32890)
Simplify ((o*o**(-15))**(5/2))**(6/13) assuming o is positive.
o**(-210/13)
Simplify (l**1/l)**(1/15)*l/l**(-6)*l*l*l/(l/l**(-1/2)) assuming l is positive.
l**(17/2)
Simplify (g/g**(3/2))**34/(g/(g/(g**(-6)/g))*g*g*g**7) assuming g is positive.
g**(-19)
Simplify (k**(-1/3))**(1/12)/((k/k**(-2/11))/(k*k**(-4)/k*k)) assuming k is positive.
k**(-1667/396)
Simplify (l**(5/2)/l)**(2/13)/(l/((l/(l/(l/(l/(l*l**(-6/7))))))/l))**(4/17) assuming l is positive.
l**(-319/1547)
Simplify a**(-1)/(a/a**10*a)*(a**(-1/5))**(-1/67) assuming a is positive.
a**(2346/335)
Simplify (k**(-10)*k)**(3/31)*k*k**(5/4)*k*k**(-4/5) assuming k is positive.
k**(979/620)
Simplify (b**(-2/5))**(-30)/((b/(b**(-8/9)*b))/(b/b**(-7))) assuming b is positive.
b**(172/9)
Simplify (i**(2/11)/(i**(-5/4)/i)*i*i**6*i**(3/5))**(-3/2) assuming i is positive.
i**(-6621/440)
Simplify (((((r**2/r)/r)/r)**(3/7))**(1/20))**33 assuming r is positive.
r**(-99/140)
Simplify (a**(1/14)*a*a/(a/a**4))/(a*a*a/(a/(a*a/(a**(-2)/a)*a)))**(-2/11) assuming a is positive.
a**(1005/154)
Simplify (n*n/(n*n**13))/(n/n**(-4/9))*(n/(n*n*(n/(n**(-9)*n))/n)*n*n)/n*n**19 assuming n is positive.
n**(-22/9)
Simplify ((m/(m/(m**(-5)/m)))/m)**21*(m**(-3))**(-1/20) assuming m is positive.
m**(-2937/20)
Simplify (k**(-19)/k*(k*k**(-7))/k)/((k*k**(2/7))/k)**16 assuming k is positive.
k**(-221/7)
Simplify ((f**(3/7)*f**7)**(-1/20))**(18/7) assuming f is positive.
f**(-234/245)
Simplify (b**(-7)*b*b/(b**(-16)/b))/(b**(-17)/(((b*b/(b*b*b**(-4/9)*b))/b)/b)) assuming b is positive.
b**(238/9)
Simplify (c**(-21)*c/c**(-17))/(c/c**5)**(-19) assuming c is positive.
c**(-79)
Simplify (j/j**(-17)*j*j*j/j**(-17))/(j*(j*j*j*j**(-2/3))/j*j*j*j/(j*j/(j**(-2)/j)*j)*j*j) assuming j is positive.
j**(110/3)
Simplify (u/u**25)/(u*u/u**(3/4)*u)*(u/((u/(u/(u/(u*(u*(u*u/(u*u/(((u/(u*u**(1/16)*u))/u)/u)))/u)/u)*u))*u)/u))/((u**(-8/5)/u)/u) assuming u is positive.
u**(-2137/80)
Simplify ((j*j/j**(-4/5)*j)/j)**(-9)*j/(j*j*j**(3/2))*j**(-24) assuming j is positive.
j**(-517/10)
Simplify (o*o*o*o**(-7)*o/(o/(o/(o**11/o))))/(o*o*o**(-3/7))**(1/25) assuming o is positive.
o**(-2286/175)
Simplify (n**(13/4)*n*n)**2/(n/n**12)**32 assuming n is positive.
n**(725/2)
Simplify ((w**(2/7)*w)**(1/62)/((w*w/((w**(2/3)/w*w)/w))/(w*((w*w*(w*w**(-1/4)*w)/w*w)/w)/w)))**(2/13) assuming w is positive.
w**(1139/16926)
Simplify l**6/l**(10/3)*(l**(-1/7))**(-35/2) assuming l is positive.
l**(31/6)
Simplify (b*b**(-2/5))**(2/67)*b/(b**7/b)*b**(-2/13) assuming b is positive.
b**(-22367/4355)
Simplify (d**(1/12)*d*d*d**(1/9)*d)**(-22/3) assuming d is positive.
d**(-1265/54)
Simplify ((y**(8/5))**(1/10))**(2/69) assuming y is positive.
y**(8/1725)
Simplify (q**6*q**(-7/3))/((q*q/(q*q/q**5))/((((q*q**20)/q)/q)/q)) assuming q is positive.
q**(50/3)
Simplify k**(-2)*k**(-6)/k*(k**(2/5))**(-14) assuming k is positive.
k**(-73/5)
Simplify ((d/(d*d/d**(-16))*d/((d*d**(-2/33))/d))**(-20))**(2/25) assuming d is positive.
d**(4208/165)
Simplify ((t**(1/4)*t*t**(-3))/(t**(9/2)/t**(-5)))**37 assuming t is positive.
t**(-1665/4)
Simplify (o**(-2)*o)**(-3/16)*((o*o**10)/o)**(-3/13) assuming o is positive.
o**(-441/208)
Simplify (x**10*x**14*x)/(x**(6/7)*x**(2/19)) assuming x is positive.
x**(3197/133)
Simplify (k**9)**(1/3)*(k**(-2/9)*k*k)/(k**(-7)*k) assuming k is positive.
k**(97/9)
Simplify (s**(-5)*s**(3/4))/(s**(-2/3)/(s/(s**(-2/27)*s))) assuming s is positive.
s**(-379/108)
Simplify (((q*q**2*q)/q*q)**(-5/6))**42 assuming q is positive.
q**(-140)
Simplify ((b/(((b/b**32)/b*b)/b))/b)**(7/2)*(b**32)**49 assuming b is positive.
b**1680
Simplify ((t**2/t)**28)**(3/10) assuming t is positive.
t**(42/5)
Simplify (s/(s*s/(s/s**2)))**(-39)*(s*(s*s**(-2/61))/s)**(2/19) assuming s is positive.
s**(90520/1159)
Simplify (d**(-1/4))**(-44/7)/((d/(d**20*d)*d*d)/((d/(d**(8/5)/d*d))/d)) assuming d is positive.
d**(629/35)
Simplify ((d/(d/(d*(d**(-23)*d)/d))*d)/d*d)**13/(d**(3/2)*d*(d/(d**(-20)/d*d))/d*d*d) assuming d is positive.
d**(-595/2)
Simplify (f*(f**(-4/9)*f)/f)**(2/43)/(f**(2/7)/(((f**16*f)/f*f)/f)) assuming f is positive.
f**(42640/2709)
Simplify (((u/(u/(u/(((u*u**(-11/3)*u)/u)/u))))/u)/u)**7/(u**15*u/u**(-6)) assuming u is positive.
u**(-10/3)
Simplify ((y*y**12*y)/(y*y*y/(y/(y/y**(-1/4)))*y*y*y*y))/((y/((y**(-2/11)*y)/y))/((y*y**(2/15))/y*y)) assuming y is positive.
y**(4423/660)
Simplify ((r*r**9*r*r/r**(2/11)*r*r)/(((r*r**(-1))/r)/r**6))**(2/7) assuming r is positive.
r**(458/77)
Simplify (b*(((b/b**(13/2))/b)/b)/b*b**(1/6))/((b**38*b)/b*b**(-5)) assuming b is positive.
b**(-121/3)
Simplify t**(-2/7)*t*t**(-3)*(t*t/t**(-14))**3 assuming t is positive.
t**(320/7)
Simplify ((d/(d**(-19)*d))/d**(-36))/(d**(2/7)/((d*(d*d/(d**(-4/7)/d))/d)/d)) assuming d is positive.
d**(401/7)
Simplify ((c/c**(-9)*c*c**(-1/5))/(c*c*c**(2/9)/c*c)**44)**(-18/5) assuming c is positive.
c**(7828/25)
Simplify (l*l/l**(-5/6))**(-1)/(((l/l**(-18)*l)/l)/(l*l*l*l**(-19/4)*l*l)) assuming l is positive.
l**(-259/12)
Simplify (r*r/r**(-13))**(1/4)/(r*r**(1/2)*r**11) assuming r is positive.
r**(-35/4)
Simplify ((f/f**(-26))/f**7)**(-12/19) assuming f is positive.
f**(-240/19)
Simplify ((j*j**(-3/5)*j/(j*j**(5/2)*j*j))**(15/4))**(-17) assuming j is positive.
j**(2091/8)
Simplify (q**(1/19)/(q*q/(q*q**(-2/9)/q)))/(q**(-1/26)*q/(q*q**(-1/2))) assuming q is positive.
q**(-5849/2223)
Simplify ((((j**(2/11)/j)/j)**(-3/7))**25)**23 assuming j is positive.
j**(34500/77)
Simplify (q**(-1/5)*q/(q/q**17))/(q/q**17)**(-25) assuming q is positive.
q**(-1916/5)
Simplify (c**18*c)**(-1/51)*c**(-31)/c*(c**(-11)*c)/c assuming c is positive.
c**(-2212/51)
Simplify ((((a/(a*(a**(-1/14)*a)/a)*a)/a)/(a/a**3*a))/(a**(-2)*a**(-6)))**(-32) assuming a is positive.
a**(-2032/7)
Simplify (m/m**(-10/3))/m**(17/4)*m**(9/5)*((((m/(m**(-19)*m))/m)/m)/m*m*m)/m assuming m is positive.
m**(1133/60)
Simplify ((k**37/k)/k*k/(k*k**(-21)*k))/(k**(-26)/k*k**(-5/12)) assuming k is positive.
k**(989/12)
Simplify ((c*c**(1/2)/c*c)/c)**(-24)
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 3*r**2).
r**4
Expand (3 - 3 + 2*y)*(-30 + 18 + 43) + (-1 + 2 - 2)*(-2 + 2 - 2*y) + 3*y + 0*y - 4*y - 2 + 2 + y.
64*y
Expand 3*m - 3*m - m**3 + (m**2 + 3*m**2 - 3*m**2)*(-11 - 6*m + 11) - 3*m**2 - m**3 + 3*m**2 + (m**3 - m + m)*(3 - 2 - 2).
-9*m**3
Expand -l + l + l**3 + (2 - 1 + 1)*(1 + l**3 - 1) + (-5*l + 0*l + l)*(3*l**2 - l**2 - l**2).
-l**3
Expand -4*i - 3*i + 5*i + (0 - 2 + 0)*(4*i + 2*i - 5*i) - i + 2*i - 2*i - i + 0*i + 3*i + (-4 + 3 + 3)*(-2*i - 1 + 1).
-7*i
Expand -2*u**5 + 14*u**4 - 14*u**4 - u**5 + 2 - 2 + (0*u - 2*u**3 + 0*u)*(3 + 2*u**2 - 3) - u**5 + u**5 + u**5.
-6*u**5
Expand 0*c**4 - 2 + 1 - 8*c**4 + (-c + 3*c + 0*c + (0 - 2 + 1)*(2*c - c - 2*c) + 2 + c - 2)*(-5*c**3 + 3*c**3 - 6*c**3).
-40*c**4 - 1
Expand (-3 + 1 + 1)*(0*l - l + 0*l)*(0*l**2 + 0*l**2 - l**2)*(3*l**2 - 3*l**2 + 2*l**2).
-2*l**5
Expand 2*b**2 - 2*b + 4*b + 0*b**2 + (1 - 1 - b)*(b - 2*b + 2*b) + 3*b**2 + 5*b**2 - b**2 - 2*b**2 - b**2 + 4*b**2.
9*b**2 + 2*b
Expand (-1 + 2 - 3)*((-6*n**2 + 6*n**2 - 5*n**3)*(-4 - n**2 + 5 + 2*n**2) + 2*n**5 - n**4 + n**4).
6*n**5 + 10*n**3
Expand (-5 + f + 5)*(2*f**4 - f**4 - 3*f**4) - f**5 - 3*f**5 + 5*f**5 - 25*f**5 + 52*f**5 + 7*f**5 + (2*f**5 - 2*f**5 + 2*f**5)*(-1 + 2 + 1).
37*f**5
Expand 3*o**3 - 3*o**3 + 2*o**4 + 4*o**4 + 4*o**4 - 6*o**4 + (-4*o**3 + o**3 + 2*o**3)*(-o + 0*o + 2*o) + 2*o**3 + 0*o**3 + 12*o**4 - o**3.
15*o**4 + o**3
Expand (2*p**2 + p**2 - 6*p**2)*(-2*p**2 - 3*p**2 + p**2).
12*p**4
Expand (2*s**2 - 4*s**2 - s**2)*(0*s - 3*s + s)*(8 + 2 - 4)*(-3 + 1 + 4).
72*s**3
Expand (3 - 1 - 4)*(44*c**2 + 1223*c - 1223*c) - c**2 + 3*c**2 + 0*c**2.
-86*c**2
Expand (2*u - 3*u + 4*u)*(-5 + 2 + 0) + 0*u - 6*u + u.
-14*u
Expand (2 + 2 - 3)*(4*u - 4*u - u) + 0*u + u - 2*u + (-1 + 0 + 0)*(-u - u + 0*u) + 7*u - 3*u + u.
5*u
Expand (b**3 - 3*b**2 + 3*b**2)*(0*b + b + b)*(1 + 1 - 5) + 19*b**2 - 19*b**2 + 2*b**4.
-4*b**4
Expand (0*f**2 + 3*f**2 - 2*f**2)*(f**2 - 4 + 4) - 2*f**4 + 3*f**4 + 3 + f**4.
3*f**4 + 3
Expand t**3 - t**3 - t**4 - 1 - 2*t**4 + 1 + (-3*t**3 + 5*t**3 - 5*t**3)*(-2*t + 3*t - 3*t) + 0*t**4 - 2*t**4 + 3*t**4.
4*t**4
Expand x**3 - x**2 + 3*x**2 + 0*x**3 + (x**2 - 2*x**2 + 0*x**2)*(2*x + 2 - 2).
-x**3 + 2*x**2
Expand (-4*p**3 + 2*p**3 + p**3)*(4*p + 30 - 30)*(-p + 2*p + 0*p).
-4*p**5
Expand 0*o + 3*o**4 + o + o - 3*o**4 + 0*o**4 + o**4 + (27*o - 29*o + 12*o)*(-o**3 + 2 - 2).
-9*o**4 + 2*o
Expand 2*g**4 + g**2 - g**2 + (3*g**4 + 2*g**4 - 2*g**4)*(3 - 3 - 1) + 0*g**4 + 0*g**4 - g**4 + g**3 - g**3 - 2*g**3 + g + 3*g**4.
g**4 - 2*g**3 + g
Expand -c + 5*c + 0*c + (5*c + 0*c - 2*c)*(0 - 1 + 0).
c
Expand (0 + 0 + 3*c)*(0 - 3 + 1) + (-2 + 1 + 4)*(4*c + 0*c + 3*c).
15*c
Expand (4*m**4 - 6*m**4 - m**4)*(2 + 0 - 3) - 1 + 2*m**3 + 1 + m**4.
4*m**4 + 2*m**3
Expand r + 4*r - 4*r + (-4 + 1 - 1)*(-4 - 6 + 4)*(2 - r - 2).
-23*r
Expand (-m + 0*m + 3*m)*(3 + 2*m - 3) + m**2 + m**2 - m**2 + 92 - m + 8*m**2 - 20*m**2 - 89.
-7*m**2 - m + 3
Expand 2*n**3 + n - n + (n + 3 - 3)*(-2*n + n**2 + 2*n).
3*n**3
Expand ((-4 + 5 + 0)*(-3*i + 4*i + i) - 4*i + 2 - 2 + 0*i - i + 2*i)*(2*i**3 - i**4 - 2*i**3).
i**5
Expand (s + 4*s - 3*s)*(-28 - 11 + 1).
-76*s
Expand 3*k**5 + 4*k**2 - 4*k**2 + (-7 - 4*k**2 + 7)*(-k**3 - 2*k**2 + 2*k**2) + 4*k - 4*k - k**5.
6*k**5
Expand (-12*g**2 + 5*g**2 - 5*g**2)*(-2 + 2 - g).
12*g**3
Expand (-g**4 - g**4 + 0*g**4)*(-5 - 17*g + 5) + 2*g**5 + 0*g**5 - g**5.
35*g**5
Expand (3*g - 3*g - g)*(-5 + 3 + 3) + 107*g + 42*g - 22*g.
126*g
Expand (48*d - 10 + 10)*(1 + 2 + 0).
144*d
Expand -2*b**2 + 3*b**2 - 2*b**2 + (-2*b**2 + 8*b**2 + 0*b**2)*(0 + 3 - 2).
5*b**2
Expand (-3 + 0 + 2)*(z + 4*z - 3*z)*(52 + 42 - 2) - 2*z + z + 0*z.
-185*z
Expand (4*i**2 - 3*i**2 + 2*i**2)*((1 - 2 + 2)*(-1 - i + 1) + 0*i + 0*i - i).
-6*i**3
Expand (4 - 3 + 1)*(b - 2*b + 4*b) + 3*b - 2*b - 3*b.
4*b
Expand (2*n + 0 + 0)*(2*n**4 + 0*n**3 + 0*n**3) - n**4 + n**5 + 11*n**5 + 0*n**5.
16*n**5 - n**4
Expand (c + 2*c + 0*c)*((-3*c**2 + 0*c**2 + 2*c**2)*(-3*c + 3*c + 2*c) - 2*c**3 + 2*c**3 + 3*c**3 + 1 + 2*c**3 - 1 + 2*c**3 + 3*c**3 - 6*c**3).
6*c**4
Expand (0*r - r - 192*r**2 + 193*r**2)*(r - r + r).
r**3 - r**2
Expand (2*n + 2 - 2)*(-2 + 2 + 3*n) + n**2 - 2*n**2 + 4*n**2 - 2*n - 3*n**2 + 4*n**2 + 0*n**2.
10*n**2 - 2*n
Expand -l**5 + 3*l**5 + l**5 + (3*l + l - 2*l)*(-2*l**4 + 6*l**4 - 2*l**4) + l**3 - 2*l**5 - l**3 + (-4*l + 2*l - 3*l)*(2*l**4 + 1 - 1).
-5*l**5
Expand (-3*t**2 - 2*t**2 + t**2)*(-2*t**3 - 2*t**2 + 2*t**2).
8*t**5
Expand (-3*s + 2*s + 4*s)*(1 + 1 - 1) + 1 - s - 1 - 4 + 4 + s + (2 - 1 + 1)*(2*s - 3*s - s).
-s
Expand (-5 - 1 + 4)*(g - 3*g + 0*g)*(-2*g**4 - g**4 + 2*g**4)*(5 - 5 + 3).
-12*g**5
Expand (2*j**3 + 2*j**2 + 3*j**2 - 6*j**2)*(6*j - j - 3*j)*(-j - 4 + 4).
-4*j**5 + 2*j**4
Expand (6*u - 1 - 4 + 8)*(0*u**2 + 3*u**4 + 0*u**2).
18*u**5 + 9*u**4
Expand (16*a**2 + 4*a**2 - 5*a**2)*(-a**2 + 3*a**2 + 0*a**2).
30*a**4
Expand (-18 + 18 - 2*z**2)*(-1 + 0 + 3).
-4*z**2
Expand (6*w**2 - 5*w**2 - 4*w**2)*(2*w - 2 + 2) + (2 - w - 2)*(w - w - w**2).
-5*w**3
Expand (-17*d + 17*d - 7*d**2)*(3 + 2 - 4).
-7*d**2
Expand (k - k + 2*k**3)*(-2 + 4 - 4) - 1 - 3*k**3 + 1.
-7*k**3
Expand 0*v + 0*v + 2*v**2 + (5*v - 3*v + 0*v)*(-1 + 2*v + 1) - v**2 + v**2 + 2*v**2 + 3 - 3 + v**2 + (1 - v - 1)*(0 + 0 + v) + v**2 + 4*v**2 - 6*v**2.
7*v**2
Expand (6 - 3 - 6)*((-x**2 + x**2 - x**2)*(-x**2 + 2*x**2 - 2*x**2) + (-2 - x**2 + 2)*(3*x**2 - 2*x**2 - 3*x**2)).
-9*x**4
Expand (-i**2 + i**2 - 2*i**2)*(-1 - i + 3 - 1)*(i + i - 4*i).
-4*i**4 + 4*i**3
Expand (2*c + 0*c + 0*c - 1 + 1 + 2*c - 3*c - 2*c + 3*c + (-1 - c + 1)*(1 + 0 - 2) + 4*c + c - 4*c - 3*c + 1 - 1 + (-2 + 2 + 1)*(2*c + 0*c + 0*c))*(-2 - 1 + 2).
-3*c
Expand (11 - 19 + 4*p + 9)*(3*p + p - 2*p) - p**2 + 2 - 2.
7*p**2 + 2*p
Expand -2*r**2 - 5*r**4 + 2*r**2 + (-5*r - 3*r + 5*r)*(3*r**3 - r**3 + r**3).
-14*r**4
Expand -10*y**2 + 3*y**3 + 10*y**2 + (3*y - 3*y + 2*y**2)*(3*y - 3*y - 2*y) - 2*y**3 + 2*y + y**3 - y**3.
-3*y**3 + 2*y
Expand (-6 + 73 - 16)*(-4*y - 5 + 5).
-204*y
Expand (-2*s**2 - 2*s**2 + 5*s**2)*(4*s - 4*s - s**2) + 3*s**3 - 3*s**3 + 5*s + 2*s**4.
s**4 + 5*s
Expand -103 + 4*g + 103 + 2*g**2 + (-1 + 1 - 2)*(5 - g**2 - 5).
4*g**2 + 4*g
Expand (-4*h + 8 - 8)*(5*h - h - 1 - 3*h).
-4*h**2 + 4*h
Expand 3*l**4 - 3*l**4 - 2*l**5 + 2*l**5 - 7 + 7 + (-2 + 2 + 2*l**3)*(l - l + l**2).
2*l**5
Expand (y - 3*y - y)*(-8*y + 35 - 35) + (3*y**2 - 4*y**2 + 0*y**2)*(3 - 1 - 3) - 4*y**2 + 2*y**2 + 3*y**2.
26*y**2
Expand (3 - 8 - 1)*(-s**2 - 4*s**2 + 4*s**2 + s**4).
-6*s**4 + 6*s**2
Expand 0*m**5 - 4*m**5 + 3*m**5 + 3 + 3 + m**5 - 3 - m**3 + m**3 + 2*m**5 + (2 + 2 - 3)*(-3*m**5 + 2*m**5 + 2*m**5).
3*m**5 + 3
Expand (-5 - 4 + 4)*(3 + 0 + 0*a - a).
5*a - 15
Expand (6 - 2 - 2)*(5 + 1 + 2*u - 2)*(-u + 9*u - u).
28*u**2 + 56*u
Expand ((-3 + 1 + 0)*(2 + 1 - 2) + 2 - 1 - 2 - 4 + 0 + 3 + 2 + 7 - 4)*(-1 + 1 - 2*s)*(-6*s**2 + 2*s**2 + 5*s**2).
-2*s**3
Expand (-4*q + 0*q - q)*(q**2 + 5*q - 5*q) + 0*q**3 + 0*q**3 - q**3.
-6*q**3
Expand ((-2 - 1 + 1)*(0*a**3 - 2*a**3 - a**3) + a**3 - 2*a**3 + 3*a**3)*(0*a**2 + 5*a**2 - 4*a**2).
8*a**5
Expand -o**5 + o**3 - 2*o**3 + 7*o**3 + (1 - 2*o - 1)*(-o**4 + 0*o**3 + 0*o**3).
o**5 + 6*o**3
Expand (4*k - 7*k - 6*k)*(-9*k + 9*k - 2*k).
18*k**2
Expand (3*u - 5*u + 4*u)*(0 + 0 - 1)*(-1 + 5 + 87*u - 86*u).
-2*u**2 - 8*u
Expand (-1 + y + 1)*(-1 + 2*y + 1)*(1 + 1 - 9).
-14*y**2
Expand 1 - 1 - 5*c**2 + (-3 - 3 + 5)*(0*c - 2*c**2 + 0*c) + (0*c - c + 3*c)*(0*c + 0*c + 2*c).
c**2
Expand (0 + 2 - 8)*(2*l**2 - 2*l + 3*l - l**2).
-6*l**2 - 6*l
Expand (k - k + 3*k)*(k**2 + 5*k**2 - 5*k**2) + (3*k**2 + 0 + 0)*(1 - 1 + k).
6*k**3
Expand (-5*b**2 + b**2 + 5*b**2)*(-3*b + 3*b - 2*b)*(-4 - 2 + 4) - 3*b - b**3 + 3*b.
3*b**3
Expand -2*j + j + 3*j + (-1 + 2 - 2)*(-3 + 4 - 2)*(6*j + 0*j - 4*j).
4*j
Expand (2 - 1 - 2)*(-6 - 2 + 3)*(2*t + 3*t - 3*t)*(-3 + 3 + 1).
10*t
Expand (-2 + 2 + 1)*(40*l - 4 - 2 - 36*l).
4*l - 6
Expand (-2*r + 3*r + 0*r)*(-4*r + 2*r**2 + 4*r)*(2 + 0 + 0) + (-r - 2*r + 5*r)*(-3*r**2 + 5*r**2 - r**2).
6*r**3
Expand (-1 - 1 - 3*d + 2*d)*(-d - d + 3*d).
-d**2 - 2*d
Expand (-6*u**4 + 3*u**4 + u**4)*(3 - 1 + 0).
-4*u**4
Expand -2*c - 2*c + 3*c + (0*c + 0*c + 2*c)*(1 + 4 - 2).
5*c
Expand 0*v**5 + 6*v - 3*v**5 - 12*v + (2*v + 0 + 0)*(2*v**4 + 0*v**4 - v**4) + 2*v - 2*v + 2*v**5.
v**5 - 6*v
Expand (5 + z - 6 + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
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4
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7
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1
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6
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1
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3
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7
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9
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4
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0
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1
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7
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0
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4
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2
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1
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7
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8
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7
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3
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9
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7
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2
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7
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5
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6
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3
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2
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1
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6
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8
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1
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4
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3
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1
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4
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8
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7
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9
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9
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1
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4
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0
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2
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4
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0
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0
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1
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4
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9
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4
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1
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8
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8
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2
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1
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2
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2
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8
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2
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0
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6
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6
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2
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5
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5
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7
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5
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6
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5
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0
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7
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5
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4
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7
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8
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3
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7
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5
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7
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8
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1
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2
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3
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1
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3
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9
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0
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2
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9
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5
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9
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2
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5
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6
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0
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0
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6
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2
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9
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8
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8
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7
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0
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8
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3
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0
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3
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3
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7
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7
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1
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0
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3
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4
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7
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2
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2
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1
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7
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3
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1
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1
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0
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6
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1
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4
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2
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1
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1
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4
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9
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1
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5
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8
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1
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9
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3
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4
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7
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2
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6
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2
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8
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9
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9
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2
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7
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8
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2
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7
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2
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1
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7
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7
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8
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0
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9
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3
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2
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6
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6
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9
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1
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9
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1
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7
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8
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0
What is the hu
|
{
"pile_set_name": "DM Mathematics"
}
|
(-5). Suppose p - x = -p. Solve 4*l = 3*k - 10, p*l + l = 3*k - 9 for k.
2
Suppose 2*x = 5*x - 48. Let f = 30 - x. Let q = -10 + f. Solve -u = 0, u + 4 = q*c + 2*u for c.
1
Suppose 2*a - 29 = -9. Suppose 5*q - 3*q = a. Solve q*x + 19 = -3*m, x + 1 = -2*m - 0 for x.
-5
Let x be (-4)/(-16) + (3 - (-140)/16). Solve -2*j - x = 5*c - 3*c, -4*c = -2*j + 18 for j.
-1
Let s(o) = -o - 9. Let i be s(-16). Suppose 4*p - 8 = 0, 5*v - 6*p = -2*p + i. Solve 2*l + x + v = 0, x + 3 = 4*l - l for l.
0
Let r = 150 + -141. Suppose -5*q + r = -1. Solve 2*u - 30 = -2*y - q*u, 0 = -5*y + 4*u + 5 for y.
5
Let g(r) = 16*r - 31. Let n be g(2). Solve -2*h + n = -u, 0 = 2*u + 5*h + 23 - 3 for u.
-5
Suppose 45 = 5*t - 8*t. Let h be (28/6 - 5/t) + 0. Solve 3*d - 5*d + 2*c = -10, 3*c + 15 = h*d for d.
0
Let i = -628 + 636. Suppose 2*h + 6 = m, 0*m + 36 = -4*h - 4*m. Let y(r) = -r. Let n be y(h). Solve f = -3*f - n*t, -3*t = 4*f + i for f.
-5
Let x(i) = 2*i**3 + 2*i**2 + 2*i - 6. Let k be x(2). Solve -3*y + 5*j - 2 - k = 0, -18 = 3*y - 3*j for y.
-3
Suppose -4 = -7*k + 6*k. Suppose d + 2 = -5*b, k*b + 2 = 2*b. Solve -2*l + d*l + 8 = -2*q, 4*q + 16 = 0 for l.
0
Let x(y) = -y**2 - 8*y + 8. Let z be x(-11). Let b = z - -26. Solve -2*q - 6 = -h + b, -h + 9 = -3*q for h.
3
Let k be (-86)/(-20) - 78/260. Solve 2*z = 3*z + k, 3*z = 5*b - 17 for b.
1
Suppose -2*n - 75 = 35. Let w be ((-4)/5)/(22/n). Let q be 59/4 - w/(-8). Solve -3*s - 4*r = -2, -3*r - 2*r - q = -5*s for s.
2
Let v(o) = -o**2 - 4*o + 7. Suppose 10 = -2*w + 4*k, -2*k = -w - w - 10. Let r be v(w). Solve -r*l + 6 = 2*u, -4*u + 3 + 0 = l for l.
3
Let d = -386 - -396. Solve -c = 0, -2*c + 5*c = -2*f - d for f.
-5
Let l = -83 - -84. Suppose 0 = 3*n + n - 12. Let x = l + n. Solve -2*u = 5*q - 10, q = -x*q for u.
5
Let u(o) = -4*o + 20. Let b be u(5). Suppose -4*a - 3*a + 56 = b. Solve 3*g - a = -2*d, d + 3*d + 12 = g for d.
-2
Let i be -4*(2 - (-33)/(-12)). Suppose -2*g = -i*g. Suppose -7*l = -58 + 44. Solve -5*v = 4*n + 7, 5*n + 2*v + l + 11 = g for n.
-3
Suppose 0 = -4*m + 1 + 3. Suppose -o - 4*o = 50. Let s be 18/(-30) + (-26)/o. Solve s*a = 4*l + 26 - 4, a + 2*l = -m for a.
5
Let j = 44 - 38. Suppose 9*h + h = j*h. Solve -2*w - 8 = h, r - 10 = -r + 5*w for r.
-5
Let y = 101 + -93. Let x = 1 + y. Solve 3*z = 15, -w - 16 = -5*z + x for w.
0
Suppose -3*t - 76 + 82 = 0. Solve -m + t*v - 4 = 0, 5*v - 7 = 8 for m.
2
Suppose 0*p = -4*p + 28. Suppose -p*w = -11 - 10. Solve 0 = 2*j - 4*x - 17 + w, 5 = j - x for j.
3
Suppose -c + 11 = 2*j, -4*c - j = 5 - 28. Solve 14 = -5*i - c*z - 11, 2*z = 0 for i.
-5
Suppose p + 18 = 4*c, 5*c = -4*p + 29 + 4. Suppose -3 = -p*s + 1. Solve y + 0*y = -s*r - 2, 2*r + 5*y - 14 = 0 for r.
-3
Suppose 10*d - 142 = -72. Solve 4*h - 9 = -3*t + d, 0 = -4*h + 4 for t.
4
Let z = -60 - -57. Let m(g) = g**2 + 3*g + 4. Let f be m(z). Solve 3*i - 3*h + 6 = 0, i - f*h + 6 = -7*h for i.
-3
Let j be ((-24)/15)/(4/(-10)) - 2. Let o = -7 - -25. Let y = -6 + 11. Solve -j*b + c - y*c = o, 2*b = 5*c + 9 for b.
-3
Let x be 2*((-525)/6)/(-7). Let n = 29 - x. Solve -n*y + b = 7, -y - 4 = 5*b + 3 for y.
-2
Let d = 351 + -342. Solve 5*o - n - d + 0 = 0, -3*o = -4*n - 19 for o.
1
Let g(c) = c**2 + 23*c - 30. Let i be g(-24). Let v = 9 + i. Solve 5*d = 5*m + v*d - 35, -10 = 2*d for m.
5
Let h be ((-1)/(-2))/((-3)/24). Let s(f) = f**3 + 4*f**2 - 8*f - 9. Let o be s(h). Solve 2*r + 26 - 8 = 3*z, -2*z + o = -5*r for z.
4
Suppose -319*j = -321*j + 30. Solve l - 3*l - j = 5*v, 2*v = 2*l - 20 for v.
-5
Let q = 612 + -604. Solve -w - q = 9*k - 12*k, -3*w = -k + 8 for k.
2
Let i = 158 + -138. Solve 4 + 1 = -2*z + k, 4*z - i = -4*k for z.
0
Let i(u) = u**2 + 33*u + 143. Let n be i(-28). Solve -5*x + 20 = 0, 0*s + 4*s - n*x - 4 = 0 for s.
4
Suppose r + 3*h + 17 = 0, -6*h = 20*r - 5*h - 132. Suppose -2*y = -0*y. Let a = -1 + 4. Solve 2*q - 11 = t - a, 4*t - 3*q + r = y for t.
2
Let s(x) = -x**2 - 22*x - 31. Let d be s(-20). Solve -2*l - d = 5*i - 30, 2*i = 2*l + 14 for l.
-2
Let v = 21 + -18. Suppose -v*a - 49 = -10*r + 5*r, -a - 42 = -4*r. Solve -4*o - 5*j = r, -3*o - j = -0*j + 11 for o.
-4
Let o(z) = 2*z**2 + 11*z + 8. Let i be o(-7). Suppose 4 - 10 = -3*g. Solve -i + 9 = 3*t + 5*m, g*t + 12 = -2*m for t.
-5
Let o = 8 + -3. Suppose -2 = -3*x + c - 7, 0 = -c + o. Suppose y - 19 = -4*u, 7*u - 2*u - 4*y - 8 = x. Solve u = -4*i - 5*p, 12 = -5*i + 3*p + 44 for i.
4
Let b be 2 + 0 + (0 - -1). Suppose 2*j - 12 = -b*z, -2*z + 3*z - 3*j = -7. Solve -4*u + c = 13, -u + z*c - 1 = c for u.
-4
Let l = -20 + 21. Let x be l/(-3) - (-37)/3. Solve 3*c = x, 2*g - 6 = -c - 2*c for g.
-3
Suppose 4*h = -5*l - 2, -153*l - 3*h = -156*l + 15. Solve d = -3, -d - 8 = -l*g + 1 for g.
3
Let w be (-43 - -41) + 47 + 2 + -1. Suppose -w + 46 = 4*u. Solve 0 = 4*a - 0*a + 3*l - 2, u = 4*l + 8 for a.
2
Let r(j) = j**3 + 16*j**2 + 5. Let q = -31 + 15. Let w be r(q). Solve -2*d + 2*z = 0, 3*d + w*z = 6*d - 2 for d.
-1
Let v(d) = d + 7. Let s be (-110)/11*3/6. Let u be v(s). Solve 2*a - 4*t + 8 = -6, 2*a + u*t = -2 for a.
-3
Let j(b) be the first derivative of -b**4/4 - b**3 + 3*b**2 - 3*b - 5. Let d be j(-5). Solve f + 3*g + 2*g = -d, -16 = 4*g for f.
3
Let q = -330 - -333. Solve -z + 10 = 2*o + 4*z, -3 = q*o + 3*z for o.
-5
Let q = 1109 + -1107. Solve 5*h = u + q*u + 14, -u = 5*h - 2 for u.
-3
Let t = -79 + 81. Solve 2*l = t*o + 2, 0 = -2*o + 5*o - 6 for l.
3
Let o be (-31)/62 - (82/(-4) + -1). Let f = -20 + o. Solve -2*v - 5*y = 7, 3*y + 8 = -f for v.
4
Let g(i) = -11*i - 14. Let l(z) = -23*z - 29. Let o(m) = 13*g(m) - 6*l(m). Let t be o(-2). Solve 3*b = -u - 2, -2*u + t*b - 2 = -u for u.
-2
Suppose w + 2*o + 2*o - 63 = 0, -3*w + 189 = -3*o. Let f = -61 + w. Solve f*z + 4*p = -14, -z - 4*z - 3*p = 21 for z.
-3
Suppose -60 = -7*r + 66. Suppose 6 = r*w - 30. Solve w*f + g = 6*g + 17, 4*f + 11 = g for f.
-4
Suppose -474 = -3*y + l, 0*l = y + 4*l - 158. Let w = y + -155. Solve w*r - 4*d = 23, -r - 2*d = -d - 3 for r.
5
Let b be (12/10)/((-3)/(-10)). Suppose 2*i - 4 = 4. Suppose -i = z - 8. Solve w - z*f = b*w - 28, -f = -w for w.
4
Suppose 3*j - j = 10*j. Solve -4*n + 16 = j, -3*f - 3*n = -5*n + 20 for f.
-4
Suppose -2*o - 2 = -2*l - 6, 26 = 2*l + 4*o. Suppose q = -l*s + 20, 2*q = 5*s + 8 - 23. Solve -4*n - 35 = q*d, -d + 32 = -5*n + 10 for d.
-3
Let h = 36 + -33. Suppose -2*d - h*d = -15. Solve -4*j = d*u + 10, 3*u + 0 + 1 = 5*j for j.
-1
Let k(p) = -4*p + 3. Let u(z) = 7*z - 5. Let s(h) = -5*k(h) - 3*u(h). Let d be s(-2). Solve 0 = -2*o - d*o + 2*c - 10, -5*o = -3*c + 10 for o.
-5
Suppose -51*c + 347 - 92 = 0. Solve -3*l = c*f + 6 + 11, l = -4 for f.
-1
Suppose 4*y + 20 = -4*x, 4*x + 18 = -3*y + 3. Solve 7*g - 5*g - 2*z + 2 = x, 4*z + 11 = g for g.
-5
Let w = -521 + 524. Solve -s = -w*h + 1, -4*s + 4*h + h = 4 for s.
-1
Let p be (-175)/21 - -9 - (-14)/6. Solve -p*k - s = -2*k - 3, -4*k + 2*s - 18 = 0 for k.
-2
Let d be 18/45*(1 - 6). Let y be ((-27)/(-36))/(d/(-8)). Suppose -y*s - 3 - 2 = -t, -3*t + 15 = 3*s. Solve -2*v = -s*w - 4*w - 20, -v - 4*w = 14 for v.
2
Let a(z) = z**3 + 6*z**2 - 6*z + 9. Let x be a(-7). Let r be (-3)/2*2 - (-7 + x). Solve t - 15 = 5*k, -2*k + 2*t + 0 = -r for k.
-4
Let o = 407 + -404. Solve -1 + 5 = -o*y - 4*d, -2*y - 1 = d for y.
0
Suppose -8*y - 30 = -m - 3*y, -2*m - 3*y + 21 = 0. Let f be (-4)/6*6/(-2). Let v be (-48)/32 - 90/(-20). Solve -v*z = f*p + m, 3*z + z + 15 = -p for p.
-3
Let p = 25366 - 25361. Let r = 10 - 2. Solve 3*u - 3 = -4*f, 4*u + 5 = -p*f + r for f.
3
Suppose -z - q + 5 = 0, -z + 6*z - 15 = -3*q. Solve b - 1 = -z*b + u, -31 = 5*b + 4*u for b.
-3
Let x be (3 - 4/4)/(3/15). Let q be x/((-3)/((-6)/4)). Solve o = -2*h - 8, 5*h - q - 5 = 5*o for o.
-4
Let h(k) = -k**3 - 10*k**2 - 9*k. Let n be h(-9). Suppose -o = -3*o + s + 3, n = -s + 5. Solve -v = 4*q - o + 3, -3*q - 2*v - 3 = 0 for q.
1
Let f(h) = -2*h - 4. Let r be f(-4). Suppose -r*w + 12 = 5*s, w + 2*w + 2*s - 9 = 0. Solve -w*g + u = 14, 2*g - 3*u = -g - 24 for g.
-3
Let y be ((-108)/(-8))/(6/8). Solve 4*b - y - 3 = u, -4*u + 11 = 3*b for u.
-1
Suppose 3*t = 120 - 33. Let k = -24 + t. Solve -3*d - 2*d - 3*w = -5, -5*w = 5*d - k for d.
1
Suppose u + 4*r = -12 - 4, 2*r - 14 = 5*u. Let j = 16 - u. Let a = j + -20. Solve 3*i = -4*s + 17, 3*s - 1 - 5 = a for i.
3
Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let t(w) = -w**2 - 4*w + 1. Let x = 75631 - 75629. Let j(i) = -5*i**2 - 21*i + 6. Calculate f*t(k) + x*j(k).
k**2 + 2*k + 1
Let u(t) = 159*t**3 + 5*t**2 - 3*t - 2. Let s(c) = 488*c**3 + 17*c**2 - 10*c - 7. Give -4*s(x) + 14*u(x).
274*x**3 + 2*x**2 - 2*x
Let o(u) = -2*u**2 - 8. Let x(k) = -8*k**2 - 33. Suppose 8*l = 3*t + 11*l + 9, 3*l - 7 = 5*t. Calculate t*x(a) + 9*o(a).
-2*a**2 - 6
Let v(f) = -f - 2. Suppose 21*a - 17*a + 13 = r, -4*a - 15 = -3*r. Let u(w) = 1. Determine r*v(j) + 2*u(j).
-j
Let k(f) = -23*f - 1 - 2 + 1 - 3. Let t(y) = 15*y + 3. What is -5*k(g) - 8*t(g)?
-5*g + 1
Let x(v) = -16*v**2 - v - 3. Let l(q) be the third derivative of -q**5/4 - q**4/24 - q**3/3 + 351*q**2 - 2. What is 5*l(g) - 4*x(g)?
-11*g**2 - g + 2
Let y(j) be the third derivative of 7*j**5/60 + 2*j**2 + 372. Let z(s) = -s - 2*s + 3*s - 7*s**2. Calculate 5*y(m) + 4*z(m).
7*m**2
Let x(o) = 6*o + 135. Let n(a) = 6*a + 154. Let b(l) = 5*n(l) - 6*x(l). Let v(t) = 2*t + 13. Give -4*b(i) - 11*v(i).
2*i + 17
Let a(f) = 149*f**2 - 1. Let g(t) = -t**2 - 11*t + 1. Determine -a(n) - g(n).
-148*n**2 + 11*n
Let n(d) = -5905*d**3 + 9*d**2 - 3*d + 18. Let y(z) = 135814*z**3 - 210*z**2 + 70*z - 420. Give 70*n(w) + 3*y(w).
-5908*w**3
Let n(f) = f. Let u(c) = 1030851 - 515435 + 3*c - 515428. Calculate -2*n(o) + u(o).
o - 12
Let k(c) = c**2 + 6*c - 2. Let d(t) = 3 + 4 + 11*t + 2*t**2 - 53 + 8 + 33. Determine -2*d(s) + 5*k(s).
s**2 + 8*s
Let s be -21*((-10)/3 + 3). Let a(i) = -5 - 1 - 1 - s*i. Let r(d) = 6*d + 8. Let b(h) = 12*h + 17. Let v(p) = -2*b(p) + 5*r(p). Calculate 5*a(n) + 6*v(n).
n + 1
Let a = -701 + 688. Let i(w) = 17*w**2 - 13*w + 13. Let t(b) = -5*b**2 - 6*b**2 + 6*b + 3*b**2 - 1 - 5. Let x = 0 + -6. Determine a*t(j) + x*i(j).
2*j**2
Suppose 2*d = -2*d - 12. Let s(r) = 2*r**2 - 5*r. Let m = -245 - -246. Let g be (15/(-12))/((-15)/20 + m). Let f(h) = -3*h**2 + 9*h. Determine d*f(a) + g*s(a).
-a**2 - 2*a
Let x(s) = s**3 - 6*s**2 + s - 2. Let i(n) = 897*n**3 + 29*n**2 - 6*n + 12. Give i(f) + 5*x(f).
902*f**3 - f**2 - f + 2
Let g(y) = -9*y + 8. Let r(x) be the third derivative of -x**4/8 + x**3/2 - 20548*x**2. Suppose 0 = u + 4*j - 2*j - 7, 5*u + 5 = -2*j. What is u*g(s) + 8*r(s)?
3*s
Let f(w) = w - 7. Let a = 12 + -7. Let c(b) be the second derivative of -b**3/3 + 13*b**2/2 - 7704*b. Give a*f(m) + 3*c(m).
-m + 4
Suppose -281 = 262*z + 505. Let d(b) = -b**2 - b + 1. Let j(o) be the second derivative of -o**5/4 - o**4/4 - o**3/3 + 3*o**2/2 + o. Give z*d(t) + j(t).
-5*t**3 + t
Let o(r) = -3*r - 5. Let x(g) = 13*g + 21. Let w(s) = 9*o(s) + 2*x(s). Let q(h) = h + 4. Suppose -2*c = -5*t + 14, 5 - 12 = c - 5. Calculate t*q(i) + 3*w(i).
-i - 1
Let b(c) = -15*c - 25. Let t = -568 - -570. Suppose a + 108 = 5*a. Let q(i) = 30 - a + 2*i - 2*i + t*i. Calculate 3*b(k) + 25*q(k).
5*k
Let a(u) be the third derivative of -u**6/20 - 11*u**4/24 - 11*u**3/6 + 2*u**2. Let s(y) = -6*y**3 - 2415*y + 2413*y + 5*y**3 - 2. Determine -2*a(x) + 11*s(x).
x**3
Let o(u) be the first derivative of -12*u**4 + 268. Suppose 2*i = -2 - 8. Let d(y) = 12*y**3. Determine i*o(j) - 21*d(j).
-12*j**3
Suppose 2*p - 314 = -2*l - 300, -2*p = -4*l + 4. Let v(a) = -a**3 + a**2 - a + 1. Let c(n) = 3*n**2 - 3*n + 2. Give l*v(d) - c(d).
-3*d**3 + 1
Let k(w) = -7123*w - 58. Let r(g) = 1187*g + 10. Determine -6*k(y) - 35*r(y).
1193*y - 2
Let i(v) = v**3 + 2*v**2 - v - 5. Let z(k) = k**3 + 3*k**2 - 2*k - 5. Suppose r - 4*a - 10 = 0, -2*a = 98*r - 101*r. Determine r*z(n) + 3*i(n).
n**3 + n - 5
Let i(v) = 2*v**3 - 2*v**2 + 1. Let f(t) = 582*t**3 - 1746*t**2 + 873. Give -2*f(o) + 1746*i(o).
2328*o**3
Let o(v) = 48*v**2 - 9*v + 74. Let p(a) = 29*a**2 - 6*a + 49. Give -5*o(i) + 8*p(i).
-8*i**2 - 3*i + 22
Let b(x) = 5*x - 8109. Let y(n) = 23*n - 32436. Calculate -9*b(c) + 2*y(c).
c + 8109
Let f(y) = -159*y**3 - 6*y**2 + 9*y. Let g(r) = 320*r**3 + 13*r**2 - 19*r. Give -13*f(j) - 6*g(j).
147*j**3 - 3*j
Let a(x) = 1. Suppose -2*c + 14 = -4*c - 5*b, 4*b + 16 = 0. Let h(n) = 6 - 4*n + 5*n + c - 2 + 2*n. Suppose -4*v = -9*v + 25. Give v*a(d) - h(d).
-3*d - 2
Let c(g) be the third derivative of g**4/24 - g**3/6 + g**2 + 10*g + 31. Let u(i) = 3*i - 1. Give 4*c(z) - u(z).
z - 3
Let m(o) = -o**2 - 6*o - 3. Let n = -81 - -86. Let k(g) = 2 + 2 + 2 - 4 + n*g. Suppose 12 = -6*h + 2*h. What is h*k(r) - 2*m(r)?
2*r**2 - 3*r
Let u(a) = -9*a**2 - 90*a - 1. Let c(k) = 44*k**2 + 430*k + 4. Determine 6*c(b) + 29*u(b).
3*b**2 - 30*b - 5
Let r(n) = -12*n**2 - 5*n - 1. Let j(b) = -34*b**2 - 17*b - 1. Let h(y) = -4*j(y) + 11*r(y). Let o(z) = 2*z**2 + 6*z - 3. Determine -6*h(t) + 13*o(t).
2*t**2 + 3
Let o(n) = -6*n - 27. Let b(q) = 25*q + 135. What is -2*b(t) - 11*o(t)?
16*t + 27
Suppose 0 = 31*t + 34 - 158. Let a(i) = -96*i**3 + 11*i**2 - 11. Let y(m) = 32*m**3 - 4*m**2 + 4. Give t*a(o) + 11*y(o).
-32*o**3
Let c(z) = -73*z**2 - 13. Let k(a) = 16*a**2 + 10*a**2 + 20*a**2 + 8*a**2 - 72*a**2 - 3. Calculate -6*c(o) + 26*k(o).
-30*o**2
Let o(v) = -4016*v**2 - 56*v. Let p(s) = 2008*s**2 + 32*s. Determine -4*o(b) - 7*p(b).
2008*b**2
Let z(s) = -9*s**2 + 5*s + 252. Let u(o) = 4*o**2 - 2*o - 124. Give 13*u(d) + 6*z(d).
-2*d**2 + 4*d - 100
Let n(v) = -3*v + 26. Let p(u) = -2. What is n(b) + 2*p(b)?
-3*b + 22
Let z(a) = -a**3 + 32*a**2 - 5*a - 211. Let p(q) = q**2 - 11. Determine 19*p(u) - z(u).
u**3 - 13*u**2 + 5*u + 2
Let s(b) = 48*b + 13. Let a(f) = f. Calculate 2*a(v) + s(v).
50*v + 13
Let d = -5 - -12. Let u(z) be the first derivative of -474 - 5/2*z**2 + 0*z. Let m(p) = -3*p. What is d*m(x) - 5*u(x)?
4*x
Suppose 0 = -36*y + 37*y - 71. Let v = y - 76. Let t(k) = 9*k + 9. Let x = -15 + 13. Let s(u) = -4*u - 4. Give v*s(o) + x*t(o).
2*o + 2
Let d(w) = -22*w**2 + 2*w - 6. Let r(h) = 40*h**2 + 13. Determine -7*d(m) - 3*r(m).
34*m**2 - 14*m + 3
Let n(q) = -115*q + 429*q - 117*q + 3 - 105*q - 110*q. Let g(f) = 12*f - 7. Let k(s) = -6*s + 3. Let b(h) = 2*g(h) + 5*k(h). Determine -11*b(d) + 4*n(d).
-6*d + 1
Suppose 51*f - 16 + 67 = 0. Let l(h) be the first derivative of -h + 7. Let a(y) = -2*y**2 - 2*y - 8. Give f*a(j) + 2*l(j).
2*j**2 + 2*j + 6
Let j be ((-78)/(-91))/(-4*2/28). Let u(a) = -12*a**2 + 3. Let p(t) = 23*t**2 - 5. Calculate j*p(v) - 5*u(v).
-9*v**2
Let f be ((-3 + -2 - (-11)/44) + 5)*4. Let y(n) = -n**2 - n - 1. Let o(j) = -j - 5. Let r(t) = -1. Let m(h) = -o(h) + 4*r(h). Calculate f*m(w) + y(w).
-w**2
Let i(n) = -2*n - 1. Let b = 10 - 7. Let s be 1/4 + (-45)/(-12). Let a(v) = -3 + 9 + 2*v - 2 - 3. Calculate b*i(w) + s*a(w).
2*w + 1
Let p(c) = 85*c + 85. Let d(k) = 5*k + 5. Let y(v) = 2*v**3 - 200*v**2 - 5*v + 535. Let t be y(100). Determine t*d(g) - 2*p(g).
5*g + 5
Let l(z) = z**2 + 7*z. Let r be -3 - (-28)/6*8/28*-3. Let j be 11/5 + (-4)/20. Let s(o) = 7*o + o**j + o - 4*o. Calculate r*s(m) + 4*l(m).
-3*m**2
Let b = -82 - -82. Suppose b*k = -3*k + 4*k. Suppose k = -3*g - 3*g - 24. Let l(v) = -v + 3. Let p(i) = -i + 4. Calculate g*l(a) + 3*p(a).
a
Let n(c) = -22*c**2 - 61*c + 408. Let h(a) = 5*a**2 + 15*a - 104. Give -9*h(k) - 2*n(k).
-k**2 - 13*k + 120
Let c(p) = 24*p + 9*p**2 + 10 + 9 + 7 + 100*p - 21. Let n(s) = -5*s**2 - 62*s - 3. Determine -3*c(g) - 5*n(g).
-2*g**2 - 62*g
Let k(f) = -752572231*f**3 + 212556*f**2. Let w(b) = 35406*b**3 - 10*b**2. What is -5*k(a) - 106278*w(a)?
-17713*a**3
Let m(y) = -y**3 + 4*y**2 + 2*y + 1. Let i(g) be the third derivative of -g**5/20 - g**4/12 - 5*g**2 - 73*g. Determine -4*i(f) - 3*m(f).
3*f**3 + 2*f - 3
Let r(o) = -21*o**2 - 2*o - 2. Suppose 5*z - 15 = 0, 5*z - 6 = -24*t + 23*t. Let p(k) = -84*k**2 - 9*k - 9. What is t*r(n) + 2*p(n)?
21*n**2
Let m(i) = -i**2 - 58*i - 306. Let h = -832 - -826. Let z be m(h). Let o(v) = 1. Let j(s) = 8*s**2 + 6. Give z*o(r) - j(r).
-8*r**2
Let b(x) = x**2 - 13*x - 49. Let k(g) = -3*g**2 + 34*g + 130. What is -19*b(c) - 7*k(c)?
2*c**2 + 9*c + 21
Suppose 0 = 2*t - 3*h + 32, -2*h - 5 = 5*t + 3*h. Let l(g) = -2*g**2 + 4*g - 1. Let n(j) = 4*j**2 - 7*j + 3. What is t*l(x) - 4*n(x)?
-2*x**2 - 5
Suppose 0 = -49*j + 50*j + 75. Let i be 4/30 - (-1)/j*535. Let g(f) = f**2 + 3. Let n(v) = -4*v**2 + v - 10. Give i*g(d) - 2*n(d).
d**2 - 2*d - 1
Let v(o) = 31*o**3 + 88*o**2 + 2*o + 19. Let t(l) = -5*l**3 + 2*l**2 - 3. Determine 6*t(b) + v(b).
b**3 + 100*b**2 + 2*b + 1
Let t(k) = 938*k**2 - 7*
|
{
"pile_set_name": "DM Mathematics"
}
|
es are there between 9:31 PM and 4:11 AM?
400
What is 373 minutes after 8:11 PM?
2:24 AM
What is 667 minutes after 1:27 AM?
12:34 PM
What is 39 minutes after 3:58 AM?
4:37 AM
How many minutes are there between 8:59 PM and 1:55 AM?
296
What is 309 minutes after 11:38 AM?
4:47 PM
What is 443 minutes after 6:23 AM?
1:46 PM
What is 586 minutes after 10:54 AM?
8:40 PM
How many minutes are there between 8:48 PM and 9:59 PM?
71
What is 132 minutes after 1:05 AM?
3:17 AM
What is 60 minutes before 9:54 PM?
8:54 PM
What is 121 minutes after 7:32 PM?
9:33 PM
What is 103 minutes before 5:43 PM?
4:00 PM
How many minutes are there between 12:46 AM and 11:30 AM?
644
How many minutes are there between 7:50 AM and 10:24 AM?
154
How many minutes are there between 6:34 PM and 1:32 AM?
418
What is 9 minutes before 6:28 PM?
6:19 PM
What is 539 minutes after 11:50 PM?
8:49 AM
What is 292 minutes after 1:43 AM?
6:35 AM
What is 260 minutes after 3:31 AM?
7:51 AM
What is 353 minutes after 4:44 AM?
10:37 AM
What is 123 minutes before 4:08 PM?
2:05 PM
How many minutes are there between 9:48 PM and 1:02 AM?
194
How many minutes are there between 3:46 AM and 7:09 AM?
203
How many minutes are there between 4:55 AM and 11:37 AM?
402
How many minutes are there between 10:18 AM and 3:16 PM?
298
What is 322 minutes before 11:44 AM?
6:22 AM
What is 260 minutes after 1:52 AM?
6:12 AM
What is 557 minutes after 6:08 PM?
3:25 AM
How many minutes are there between 9:53 AM and 9:08 PM?
675
What is 244 minutes before 6:09 AM?
2:05 AM
How many minutes are there between 3:51 AM and 6:01 AM?
130
How many minutes are there between 6:43 AM and 5:26 PM?
643
What is 315 minutes before 7:10 PM?
1:55 PM
How many minutes are there between 7:27 AM and 3:01 PM?
454
What is 456 minutes before 5:18 PM?
9:42 AM
How many minutes are there between 3:08 PM and 8:26 PM?
318
How many minutes are there between 4:04 PM and 3:35 AM?
691
What is 373 minutes before 7:15 PM?
1:02 PM
How many minutes are there between 4:34 AM and 11:15 AM?
401
How many minutes are there between 9:52 AM and 3:36 PM?
344
How many minutes are there between 8:57 AM and 5:56 PM?
539
What is 159 minutes before 9:56 PM?
7:17 PM
How many minutes are there between 12:19 AM and 10:42 AM?
623
How many minutes are there between 1:43 AM and 9:21 AM?
458
How many minutes are there between 7:18 PM and 4:46 AM?
568
How many minutes are there between 10:55 PM and 7:50 AM?
535
How many minutes are there between 4:30 PM and 12:22 AM?
472
What is 120 minutes after 1:44 PM?
3:44 PM
What is 586 minutes after 4:00 AM?
1:46 PM
What is 630 minutes after 9:05 PM?
7:35 AM
How many minutes are there between 12:03 AM and 8:19 AM?
496
What is 547 minutes before 8:44 PM?
11:37 AM
What is 388 minutes before 12:06 AM?
5:38 PM
What is 556 minutes after 8:05 AM?
5:21 PM
How many minutes are there between 2:26 AM and 11:32 AM?
546
What is 303 minutes after 3:03 AM?
8:06 AM
What is 243 minutes after 4:13 PM?
8:16 PM
What is 25 minutes before 7:43 AM?
7:18 AM
How many minutes are there between 1:34 AM and 9:36 AM?
482
What is 160 minutes after 12:13 PM?
2:53 PM
What is 54 minutes before 8:10 PM?
7:16 PM
What is 139 minutes after 11:26 PM?
1:45 AM
How many minutes are there between 6:05 AM and 8:15 AM?
130
How many minutes are there between 2:16 AM and 11:11 AM?
535
How many minutes are there between 5:34 PM and 4:52 AM?
678
What is 508 minutes after 5:20 AM?
1:48 PM
How many minutes are there between 11:11 PM and 10:31 AM?
680
What is 623 minutes before 4:41 AM?
6:18 PM
How many minutes are there between 4:45 AM and 10:02 AM?
317
How many minutes are there between 3:38 PM and 8:04 PM?
266
What is 342 minutes before 9:30 AM?
3:48 AM
What is 92 minutes after 1:53 AM?
3:25 AM
How many minutes are there between 5:19 PM and 8:14 PM?
175
What is 628 minutes before 2:21 AM?
3:53 PM
What is 254 minutes after 6:36 PM?
10:50 PM
What is 539 minutes before 10:04 AM?
1:05 AM
What is 597 minutes after 4:20 AM?
2:17 PM
How many minutes are there between 1:14 PM and 6:24 PM?
310
How many minutes are there between 2:18 PM and 4:37 PM?
139
What is 558 minutes after 9:17 AM?
6:35 PM
What is 238 minutes after 7:35 PM?
11:33 PM
How many minutes are there between 9:36 AM and 8:40 PM?
664
How many minutes are there between 3:54 AM and 11:02 AM?
428
What is 155 minutes before 1:01 AM?
10:26 PM
How many minutes are there between 7:34 AM and 5:21 PM?
587
How many minutes are there between 8:03 PM and 8:02 AM?
719
How many minutes are there between 10:21 AM and 2:41 PM?
260
How many minutes are there between 3:30 PM and 2:42 AM?
672
How many minutes are there between 1:59 PM and 12:06 AM?
607
What is 144 minutes after 12:01 AM?
2:25 AM
What is 56 minutes after 7:36 AM?
8:32 AM
What is 6 minutes before 12:22 AM?
12:16 AM
What is 142 minutes before 3:04 PM?
12:42 PM
What is 328 minutes before 5:28 PM?
12:00 PM
How many minutes are there between 10:53 AM and 6:16 PM?
443
How many minutes are there between 11:31 PM and 9:47 AM?
616
What is 398 minutes after 1:48 AM?
8:26 AM
What is 332 minutes before 7:09 PM?
1:37 PM
What is 136 minutes after 5:58 AM?
8:14 AM
How many minutes are there between 10:17 AM and 1:08 PM?
171
How many minutes are there between 4:40 AM and 4:02 PM?
682
How many minutes are there between 7:16 AM and 9:28 AM?
132
What is 672 minutes before 11:50 PM?
12:38 PM
How many minutes are there between 11:45 PM and 11:30 AM?
705
How many minutes are there between 11:25 PM and 4:16 AM?
291
What is 689 minutes after 2:50 PM?
2:19 AM
How many minutes are there between 7:12 PM and 3:40 AM?
508
How many minutes are there between 3:38 PM and 8:41 PM?
303
What is 107 minutes before 4:50 PM?
3:03 PM
What is 250 minutes before 6:22 PM?
2:12 PM
How many minutes are there between 7:35 PM and 1:35 AM?
360
How many minutes are there between 9:36 AM and 10:39 AM?
63
How many minutes are there between 5:52 AM and 3:08 PM?
556
What is 238 minutes after 7:31 AM?
11:29 AM
What is 353 minutes after 1:13 AM?
7:06 AM
What is 9 minutes before 3:27 PM?
3:18 PM
How many minutes are there between 10:27 PM and 11:55 PM?
88
What is 33 minutes after 10:41 AM?
11:14 AM
What is 699 minutes after 8:40 AM?
8:19 PM
What is 532 minutes before 3:32 PM?
6:40 AM
What is 250 minutes after 6:54 PM?
11:04 PM
What is 467 minutes after 6:20 PM?
2:07 AM
What is 103 minutes after 5:00 AM?
6:43 AM
What is 238 minutes after 4:18 AM?
8:16 AM
What is 480 minutes after 8:12 PM?
4:12 AM
What is 11 minutes after 12:19 PM?
12:30 PM
How many minutes are there between 12:24 PM and 12:18 AM?
714
What is 300 minutes before 4:18 PM?
11:18 AM
How many minutes are there between 3:59 PM and 11:22 PM?
443
How many minutes are there between 9:04 PM and 11:05 PM?
121
How many minutes are there between 4:22 PM and 2:18 AM?
596
How many minutes are there between 6:25 PM and 9:12 PM?
167
What is 252 minutes before 11:50 AM?
7:38 AM
What is 404 minutes after 10:06 PM?
4:50 AM
How many minutes are there between 2:28 AM and 8:54 AM?
386
How many minutes are there between 8:22 PM and 7:50 AM?
688
What is 439 minutes after 3:58 AM?
11:17 AM
How many minutes are there between 9:05 PM and 6:41 AM?
576
What is 557 minutes after 9:31 AM?
6:48 PM
How many minutes are there between 4:47 AM and 6:29 AM?
102
How many minutes are there between 11:50 PM and 9:09 AM?
559
How many minutes are there between 7:27 PM and 5:58 AM?
631
How many minutes are there between 5:46 PM and 12:31 AM?
405
How many minutes are there between 9:47 AM and 8:33 PM?
646
What is 71 minutes before 4:32 PM?
3:21 PM
How many minutes are there between 11:21 AM and 1:21 PM?
120
How many minutes are there between 8:07 PM and 6:17 AM?
610
What is 202 minutes before 1:09 PM?
9:47 AM
How many minutes are there between 9:32 AM and 4:10 PM?
398
How many minutes are there between 6:56 AM and 12:49 PM?
353
How many minutes are there between 8:38 AM and 5:58 PM?
560
How many minutes are there between 6:15 PM and 6:51 PM?
36
How many minutes are there between 8:22 AM and 1:54 PM?
332
How many minutes are there between 8:30 PM and 10:20 PM?
110
What is 568 minutes before 10:13 AM?
12:45 AM
How many minutes are there between 10:05 PM and 3:59 AM?
354
How many minutes are there between 9:42 PM and
|
{
"pile_set_name": "DM Mathematics"
}
|
of 472, 476, 482, 490, 500, 512?
g**2 + g + 470
What is the f'th term of -2217, -2219, -2221, -2223, -2225, -2227?
-2*f - 2215
What is the i'th term of 35, 26, 17, 8?
-9*i + 44
What is the m'th term of 5, -21, -57, -103, -159, -225, -301?
-5*m**2 - 11*m + 21
What is the z'th term of -10, 2, 14, 26, 38, 50?
12*z - 22
What is the x'th term of 13, 112, 379, 898, 1753, 3028, 4807, 7174?
14*x**3 + x - 2
What is the n'th term of 441, 434, 417, 384, 329, 246, 129?
-n**3 + n**2 - 3*n + 444
What is the g'th term of 125, 499, 1115, 1967, 3049, 4355, 5879?
-g**3 + 127*g**2 - 1
What is the v'th term of 9, 17, 37, 75, 137, 229, 357, 527?
v**3 + v + 7
What is the q'th term of -355, -692, -1029, -1366, -1703, -2040?
-337*q - 18
What is the t'th term of 28, 62, 96, 130, 164, 198?
34*t - 6
What is the t'th term of 78, 145, 204, 255, 298, 333?
-4*t**2 + 79*t + 3
What is the i'th term of 31, 77, 121, 163, 203, 241?
-i**2 + 49*i - 17
What is the x'th term of 17, 9, -3, -19?
-2*x**2 - 2*x + 21
What is the h'th term of -333, -339, -349, -363, -381, -403, -429?
-2*h**2 - 331
What is the n'th term of -1474, -2951, -4428, -5905, -7382, -8859?
-1477*n + 3
What is the k'th term of -295, -611, -907, -1177, -1415, -1615, -1771?
k**3 + 4*k**2 - 335*k + 35
What is the a'th term of -42, -307, -1028, -2433, -4750, -8207, -13032, -19453?
-38*a**3 + a - 5
What is the q'th term of -203, -201, -185, -149, -87, 7, 139, 315?
q**3 + q**2 - 8*q - 197
What is the j'th term of 3969, 3963, 3953, 3939?
-2*j**2 + 3971
What is the a'th term of -32, -65, -98, -131, -164?
-33*a + 1
What is the j'th term of 180, 191, 200, 207?
-j**2 + 14*j + 167
What is the w'th term of 389, 392, 407, 440, 497, 584?
w**3 - 4*w + 392
What is the a'th term of 14, 9, -6, -37, -90, -171?
-a**3 + a**2 - a + 15
What is the v'th term of 86, 611, 2036, 4811, 9386, 16211, 25736?
75*v**3 + 11
What is the y'th term of 73, 149, 223, 295, 365?
-y**2 + 79*y - 5
What is the o'th term of -651, -1259, -1877, -2511, -3167?
-o**3 + o**2 - 604*o - 47
What is the r'th term of -982, -983, -984?
-r - 981
What is the r'th term of 568, 1139, 1710?
571*r - 3
What is the q'th term of 1462, 1453, 1430, 1387, 1318, 1217, 1078, 895?
-q**3 - q**2 + q + 1463
What is the v'th term of 29, 70, 113, 158?
v**2 + 38*v - 10
What is the v'th term of 605, 608, 611, 614?
3*v + 602
What is the q'th term of -46, -53, -60, -67, -74?
-7*q - 39
What is the h'th term of -239539, -239531, -239509, -239467, -239399, -239299?
h**3 + h**2 - 2*h - 239539
What is the t'th term of -100, -104, -108?
-4*t - 96
What is the j'th term of 14, 20, 30, 44, 62, 84?
2*j**2 + 12
What is the i'th term of -204, -235, -278, -339, -424, -539, -690?
-i**3 - 24*i - 179
What is the z'th term of -138, -151, -164?
-13*z - 125
What is the r'th term of -12, -28, -44, -60?
-16*r + 4
What is the r'th term of 26, 112, 264, 488, 790?
r**3 + 27*r**2 - 2*r
What is the k'th term of -49, -166, -353, -604, -913, -1274?
k**3 - 41*k**2 - k - 8
What is the s'th term of -4, -7, -8, -7, -4, 1, 8?
s**2 - 6*s + 1
What is the z'th term of 1441, 1442, 1443, 1444, 1445, 1446?
z + 1440
What is the k'th term of -1, -15, -53, -127, -249, -431, -685, -1023?
-2*k**3 + 1
What is the g'th term of 1549, 1541, 1519, 1477, 1409?
-g**3 - g**2 + 2*g + 1549
What is the v'th term of 759, 735, 711, 687, 663?
-24*v + 783
What is the y'th term of 3250, 6489, 9714, 12919, 16098, 19245?
-y**3 - y**2 + 3249*y + 3
What is the b'th term of 40926, 40925, 40924, 40923?
-b + 40927
What is the h'th term of 16, 33, 72, 145, 264, 441, 688, 1017?
2*h**3 - h**2 + 6*h + 9
What is the y'th term of -237, -238, -239, -240?
-y - 236
What is the y'th term of 46, 62, 94, 148, 230, 346?
y**3 + 2*y**2 + 3*y + 40
What is the i'th term of 1727, 1721, 1703, 1667, 1607?
-i**3 + i + 1727
What is the a'th term of 66, 126, 186, 246?
60*a + 6
What is the s'th term of 1289, 1302, 1329, 1376, 1449, 1554?
s**3 + s**2 + 3*s + 1284
What is the l'th term of -219, -438, -657, -876?
-219*l
What is the n'th term of 19, 34, 49?
15*n + 4
What is the d'th term of -1804, -7232, -16288, -28978, -45308, -65284, -88912?
-d**3 - 1808*d**2 + 3*d + 2
What is the q'th term of -39, -18, 29, 114, 249?
2*q**3 + q**2 + 4*q - 46
What is the k'th term of -52, -209, -470, -835, -1304, -1877, -2554?
-52*k**2 - k + 1
What is the p'th term of 4924, 4923, 4922?
-p + 4925
What is the c'th term of 74, 133, 180, 209, 214, 189, 128?
-c**3 + 66*c + 9
What is the n'th term of 96, 179, 262?
83*n + 13
What is the n'th term of -41, -42, -43, -44?
-n - 40
What is the k'th term of 12, 5, -4, -15, -28, -43?
-k**2 - 4*k + 17
What is the b'th term of -2066, -4132, -6198?
-2066*b
What is the a'th term of 64, 61, 56, 49, 40?
-a**2 + 65
What is the x'th term of 164, 160, 154, 146?
-x**2 - x + 166
What is the x'th term of 60, 119, 174, 225, 272, 315?
-2*x**2 + 65*x - 3
What is the q'th term of 21211, 42424, 63637, 84850, 106063?
21213*q - 2
What is the k'th term of 13, 23, 33, 43, 53, 63?
10*k + 3
What is the t'th term of -32, -86, -176, -302?
-18*t**2 - 14
What is the j'th term of -488, -504, -534, -584, -660, -768, -914, -1104?
-j**3 - j**2 - 6*j - 480
What is the n'th term of 3978, 7956, 11934?
3978*n
What is the w'th term of -18, -88, -210, -384?
-26*w**2 + 8*w
What is the h'th term of -292, -289, -286?
3*h - 295
What is the o'th term of 4, 35, 114, 265, 512, 879, 1390, 2069?
4*o**3 + 3*o - 3
What is the o'th term of 81, 314, 703, 1248, 1949?
78*o**2 - o + 4
What is the p'th term of -4467, -4460, -4449, -4434, -4415, -4392, -4365?
2*p**2 + p - 4470
What is the j'th term of 5082, 10165, 15248?
5083*j - 1
What is the j'th term of -295, -285, -271, -253, -231, -205, -175?
2*j**2 + 4*j - 301
What is the d'th term of -10, -32, -96, -226, -446, -780, -1252, -1886?
-4*d**3 + 3*d**2 - 3*d - 6
What is the h'th term of -74, -70, -64, -56, -46, -34?
h**2 + h - 76
What is the b'th term of 931, 1864, 2797?
933*b - 2
What is the a'th term of 11, 10, 1, -22, -65, -134, -235?
-a**3 + 2*a**2 + 10
What is the t'th term of -27, -50, -85, -138, -215, -322, -465?
-t**3 - 16*t - 10
What is the r'th term of -24, -13, 10, 45, 92?
6*r**2 - 7*r - 23
What is the x'th term of 374, 735, 1094, 1451, 1806?
-x**2 + 364*x + 11
What is the z'th term of 1382, 1376, 1360, 1328, 1274?
-z**3 + z**2 - 2*z + 1384
What is the i'th term of -420, -794, -1166, -1536, -1904, -2270, -2634?
i**2 - 377*i - 44
What is the y'th term of 4055, 8119, 12187, 16259, 20335?
2*y**2 + 4058*y - 5
What is the s'th term of -179, -353, -527?
-174*s - 5
What is the c'th term of 2729, 2726, 2721, 2714, 2705?
-c**2 + 2730
What is the h'th term of -34, -24, -12, 2?
h**2 + 7*h - 42
What is the y'th term of 37, 119, 239, 391, 569, 767?
-y**3 + 25*y**2 + 14*y - 1
What is the c'th term of 192, 258, 326, 396, 468, 542?
c**2 + 63*c + 128
What is the l'th term of -175, -178, -183, -190, -199?
-l**2 - 174
What is the c'th term of 163, 311, 445, 559, 647, 703, 721, 695?
-c**3 - c**2 + 158*c + 7
What is the j'th term of 13, 16, 19, 22, 25?
3*j + 10
What is the u'th term of 205, 310, 417, 526?
u**2 + 102*u + 102
What is the k'th term of 143, 289, 435, 581, 727?
146*k - 3
What is the y'th term of 59, 58, 57, 56, 55, 54?
-y + 60
What is the c'th term of -4741, -9488, -14245, -19018, -23813, -28636?
-c**3 + c**2 - 4743*c + 2
What is the u'th term of 3278, 3279, 3280?
u + 3277
What is the k'th term of 315, 634, 953, 1272?
319*k - 4
What is the a'th term of -366, -374, -398, -444, -518, -626?
-a**3 - 2*a**2 + 5*a - 368
What is the q'th term of 154, 366, 638, 970, 1362, 1814, 2326?
30*q**2 + 122*q + 2
What is the n'th term of -11, -51, -109, -179, -255, -331, -401?
n**3 - 15*n**2 - 2*n + 5
What is the z'th term of 14, -1, -16?
-15*z + 29
What is the n'th term of 181, 361, 537, 709, 877?
-2*n**2 + 186*n - 3
What is the y'th term of 58, 46, 20, -26, -98, -202, -344, -530?
-y**3 - y**2 - 2*y + 62
What is the w'th term of -147, -144, -139, -132?
w**2 - 148
What is the v'th term of -5, -3, 7, 31, 75, 145, 247?
v**3 - 2*v**2 + v - 5
What is the a'th term of -314, -303, -288, -269?
2*a**2 + 5*a - 321
What is the x'th term of -291, -293, -297, -303, -311, -321, -333?
-x**2 + x - 291
What is the i'th term of 117, 105, 93, 81?
-12*i + 129
What is the b'th term of 125, 248, 371,
|
{
"pile_set_name": "DM Mathematics"
}
|
-161683, -161671, -161657, -161641, -161623, -161603?
l**2 + 7*l - 161701
What is the z'th term of 4114, 4615, 5134, 5671, 6226, 6799?
9*z**2 + 474*z + 3631
What is the t'th term of 161084, 161890, 162696, 163502, 164308, 165114?
806*t + 160278
What is the i'th term of 3855587, 7711170, 11566753?
3855583*i + 4
What is the f'th term of 1838465, 14707706, 49638503, 117661634, 229807877, 397108010?
1838463*f**3 + 2
What is the v'th term of -67396, -269963, -607640, -1080427, -1688324?
-67555*v**2 + 98*v + 61
What is the o'th term of -423574, -423947, -424320, -424693, -425066, -425439?
-373*o - 423201
What is the g'th term of 1055943, 1055942, 1055941?
-g + 1055944
What is the s'th term of 515, 2068, 4651, 8264?
515*s**2 + 8*s - 8
What is the v'th term of 8639368, 8639353, 8639338, 8639323, 8639308?
-15*v + 8639383
What is the f'th term of 13178647, 13178645, 13178643?
-2*f + 13178649
What is the o'th term of 32535, 65120, 97705, 130290, 162875, 195460?
32585*o - 50
What is the q'th term of 1104, 5432, 13018, 23862, 37964, 55324?
1629*q**2 - 559*q + 34
What is the m'th term of -429541, -429553, -429565, -429577, -429589?
-12*m - 429529
What is the f'th term of -14644, -17819, -20994, -24169?
-3175*f - 11469
What is the d'th term of 1490, 11615, 38984, 92219, 179942, 310775, 493340, 736259?
1437*d**3 + 66*d - 13
What is the w'th term of -311, -2129, -6841, -15827, -30467, -52141?
-230*w**3 - 67*w**2 - 7*w - 7
What is the h'th term of -306, -1621, -2920, -4203, -5470, -6721?
8*h**2 - 1339*h + 1025
What is the q'th term of -116634, -233350, -350056, -466746, -583414, -700054, -816660, -933226?
q**3 - q**2 - 116720*q + 86
What is the k'th term of 39314, 78846, 118592, 158552, 198726, 239114, 279716?
107*k**2 + 39211*k - 4
What is the q'th term of 26743, 54229, 81715, 109201?
27486*q - 743
What is the s'th term of -124057, -124388, -124719, -125050, -125381?
-331*s - 123726
What is the i'th term of 199059, 796159, 1791327, 3184563, 4975867, 7165239, 9752679?
199034*i**2 - 2*i + 27
What is the c'th term of 670, -548, -2666, -5684, -9602, -14420?
-450*c**2 + 132*c + 988
What is the x'th term of -660, -3017, -6946, -12447, -19520, -28165, -38382?
-786*x**2 + x + 125
What is the a'th term of 57, 245, 557, 1017, 1649, 2477?
4*a**3 + 38*a**2 + 46*a - 31
What is the o'th term of 3450, 24460, 63024, 119142, 192814, 284040, 392820?
8777*o**2 - 5321*o - 6
What is the n'th term of -30962, -31013, -31106, -31247, -31442, -31697, -32018?
-n**3 - 15*n**2 + n - 30947
What is the w'th term of -2390, -3859, -6316, -9767, -14218, -19675, -26144, -33631?
-w**3 - 488*w**2 + 2*w - 1903
What is the x'th term of -16009, -63951, -143821, -255619, -399345, -574999?
-15964*x**2 - 50*x + 5
What is the j'th term of -30048891, -30048882, -30048873, -30048864, -30048855, -30048846?
9*j - 30048900
What is the x'th term of 195010, 389949, 584884, 779815, 974742, 1169665, 1364584?
-2*x**2 + 194945*x + 67
What is the a'th term of 29121, 58390, 87703, 117060, 146461?
22*a**2 + 29203*a - 104
What is the t'th term of 592870, 592618, 592368, 592120?
t**2 - 255*t + 593124
What is the h'th term of -84339196, -84339202, -84339208?
-6*h - 84339190
What is the c'th term of 9866, 10620, 11372, 12122, 12870, 13616?
-c**2 + 757*c + 9110
What is the m'th term of 17170644, 17170660, 17170688, 17170734, 17170804, 17170904?
m**3 + 9*m + 17170634
What is the s'th term of -1402, 2441, 6284, 10127, 13970?
3843*s - 5245
What is the a'th term of 218707, 437579, 656451, 875323, 1094195, 1313067?
218872*a - 165
What is the f'th term of 19567, 62588, 129059, 218980?
11725*f**2 + 7846*f - 4
What is the r'th term of -5791, -23095, -51945, -92347, -144307, -207831?
-r**3 - 5767*r**2 + 4*r - 27
What is the k'th term of 15398, 44971, 94260, 163265?
9858*k**2 - k + 5541
What is the q'th term of -60922, -243670, -548250, -974662, -1522906?
-60916*q**2 - 6
What is the v'th term of -17150, -137194, -463024, -1097534, -2143618?
-17149*v**3 + v**2 - 4*v + 2
What is the g'th term of 1772, 11922, 30434, 57308, 92544, 136142, 188102?
4181*g**2 - 2393*g - 16
What is the w'th term of 6759, 9700, 12641, 15582?
2941*w + 3818
What is the p'th term of -7897, -25555, -43213?
-17658*p + 9761
What is the r'th term of -13120, -25591, -38062, -50533, -63004, -75475?
-12471*r - 649
What is the i'th term of -5001, -7158, -9315, -11472, -13629?
-2157*i - 2844
What is the r'th term of 13997, 13817, 13637, 13457, 13277?
-180*r + 14177
What is the o'th term of -20684, -40660, -59924, -78476, -96316, -113444?
356*o**2 - 21044*o + 4
What is the d'th term of -14328430, -14328439, -14328448, -14328457?
-9*d - 14328421
What is the q'th term of 5592, 3847, 2126, 441, -1196, -2773, -4278, -5699?
2*q**3 - 1759*q + 7349
What is the o'th term of 104145, 416731, 937707, 1667073, 2604829, 3750975?
104195*o**2 + o - 51
What is the m'th term of -28190, -54796, -79814, -103244, -125086, -145340, -164006?
794*m**2 - 28988*m + 4
What is the j'th term of 11928, 11782, 11446, 10824, 9820, 8338, 6282?
-16*j**3 + j**2 - 37*j + 11980
What is the p'th term of -1845644, -1845611, -1845578?
33*p - 1845677
What is the v'th term of -89965, -88472, -86979, -85486, -83993, -82500?
1493*v - 91458
What is the v'th term of -16370, -25611, -34852?
-9241*v - 7129
What is the p'th term of 14815, 20605, 26397, 32191?
p**2 + 5787*p + 9027
What is the s'th term of -49152, -49118, -49062, -48984, -48884, -48762?
11*s**2 + s - 49164
What is the x'th term of -3072, -5868, -8676, -11496?
-6*x**2 - 2778*x - 288
What is the s'th term of -2440400, -2440386, -2440370, -2440352, -2440332?
s**2 + 11*s - 2440412
What is the d'th term of -19299, -154309, -520761, -1234377, -2410879, -4165989, -6615429, -9874921?
-19287*d**3 + d**2 - 4*d - 9
What is the s'th term of -36839, -73373, -109907, -146441, -182975?
-36534*s - 305
What is the y'th term of -4837, -4833, -4833, -4837, -4845, -4857?
-2*y**2 + 10*y - 4845
What is the l'th term of 282, 415, 752, 1395, 2446, 4007?
17*l**3 + 14*l + 251
What is the u'th term of -69540, -69536, -69516, -69474, -69404, -69300, -69156, -68966?
u**3 + 2*u**2 - 9*u - 69534
What is the x'th term of -934999, -934992, -934985, -934978, -934971?
7*x - 935006
What is the z'th term of -66336, -66495, -66624, -66717, -66768, -66771, -66720, -66609?
z**3 + 9*z**2 - 193*z - 66153
What is the l'th term of 65626, 65805, 65984, 66163, 66342, 66521?
179*l + 65447
What is the u'th term of 27627738, 27627749, 27627760, 27627771?
11*u + 27627727
What is the g'th term of -177535875, -177535879, -177535883, -177535887, -177535891?
-4*g - 177535871
What is the v'th term of 57390, 57417, 57462, 57525, 57606, 57705, 57822?
9*v**2 + 57381
What is the p'th term of -123073, -123092, -123127, -123184, -123269?
-p**3 - 2*p**2 - 6*p - 123064
What is the w'th term of 18937, 19376, 20109, 21136, 22457, 24072, 25981?
147*w**2 - 2*w + 18792
What is the f'th term of -4410, -18402, -41744, -74454, -116550, -168050?
-3*f**3 - 4657*f**2 + 250
What is the q'th term of 302657, 302722, 302789, 302858, 302929, 303002, 303077?
q**2 + 62*q + 302594
What is the b'th term of -184, -830, -1916, -3448, -5432, -7874, -10780?
-b**3 - 214*b**2 + 3*b + 28
What is the q'th term of 2919, 2879, 2807, 2697, 2543, 2339?
-q**3 - 10*q**2 - 3*q + 2933
What is the o'th term of -7179, -28894, -65123, -115866?
-7257*o**2 + 56*o + 22
What is the h'th term of -41544, -74289, -107024, -139743, -172440?
h**3 - h**2 - 32749*h - 8795
What is the c'th term of 386867, 773469, 1160071, 1546673, 1933275?
386602*c + 265
What is the z'th term of -79793127, -79793133, -79793139, -79793145?
-6*z - 79793121
What is the p'th term of 119, 198, 65, -280?
-106*p**2 + 397*p - 172
What is the d'th term of -46, 650, 2508, 6110, 12038, 20874, 33200, 49598?
97*d**3 - d**2 + 20*d - 162
What is the z'th term of 2429, 4934, 7443, 9956?
2*z**2 + 2499*z - 72
What is the z'th term of 26124, -6758, -61568, -138312, -236996, -357626, -500208, -664748?
-z**3 - 10958*z**2 - z + 37084
What is the d'th term of -4540, -10342, -16128, -21892, -27628?
d**3 + 2*d**2 - 5815*d + 1272
What is the d'th term of 47056, 52986, 58902, 64798, 70668, 76506, 82306?
-d**3 - d**2 + 5940*d + 41118
What is the b'th term of 3473, 6508, 9543, 12578, 15613?
3035*b + 43
|
{
"pile_set_name": "DM Mathematics"
}
|
6 + -15082/1465. Let i = -2349/5 + 474. Calculate the common denominator of i and t.
10
Suppose k = -3*b + 183, 719 = 4*k - 4*b + 3*b. Let z = 16/37 - -2468/111. Find the common denominator of z and k/33 - 6/2.
33
Suppose 2*c + 5*j = 4, -5 = -c - 0*c - j. Let k = 72 - 70. Calculate the smallest common multiple of c and k.
14
Let n be ((-14)/(-4))/((-3)/(-18)). Suppose 4*o + 23 + 17 = -4*u, 0 = 5*o + 4*u + 55. Let p = o + n. Calculate the least common multiple of 5 and p.
30
Calculate the lowest common multiple of ((-6)/4)/(1/(-2)) and 4/(-12) + ((-84)/(-9) - 5).
12
Let y be (0 - -2)/(14/140). What is the least common multiple of 18 and 156/y - (-1)/5?
72
Suppose 3*x - 121 = -91. Suppose 24*f + x = 25*f. What is the lowest common multiple of 70 and f?
70
Suppose -4*c = 3*t + 10, -3*c = -5*c + 3*t - 14. Let u = -3 - c. Suppose -4*q - 9 = -0*b - 5*b, -q = -4*b + 16. What is the least common multiple of b and u?
5
Let j = 17073/20 + -854. Find the common denominator of (-472)/64 + (-28)/56 and j.
40
Let u be (-3 - -1)*-39 - 0. Suppose -5*f = 4*t - u, -f + t = 4*f - 93. Calculate the lowest common multiple of 20 and f.
180
Let p(y) = y**3 - 15*y**2 + 39*y - 28. What is the least common multiple of p(12) and 28?
56
What is the common denominator of (3/(-180))/((-8)/(-236)) and 11/96?
480
What is the least common multiple of 20 and 786/15*1 + (-10)/25?
260
Suppose -w + 5*w + 20 = o, 0 = -5*o + w + 24. Let r = 170 - 96. Suppose 0 = -j + 2*v + 14, -4*v + 5*v - r = -o*j. What is the least common multiple of 2 and j?
18
Suppose 0 = 3*o + 5*o + 43680. Find the common denominator of ((-2)/8)/((-5)/(o/77)) and -17/3.
33
Let g = 76 + -60. Suppose 0 = -j + 3*j - 20. Calculate the lowest common multiple of g and j.
80
Let v be 132/4*(-2)/(-6). Calculate the common denominator of v/19 + (-1)/2 and (252/8)/3 + 0 + 1.
38
Let g = -39 - -58. Suppose 0 = 4*l - 5*l + g. Suppose 5*d - 2 = 3*o, 2*d + 3*d - 26 = -o. What is the least common multiple of l and o?
114
Calculate the lowest common multiple of 10 and -1 + (5 - 10) + 8.
10
Let w(i) = -4*i + 3 - 7 - 23. Calculate the smallest common multiple of 27 and w(-9).
27
Calculate the common denominator of (-24)/84 + (-2698)/(-1260) and -17/18.
90
Suppose 0 = -0*d + 3*d - 99. What is the least common multiple of d and -3 + 10 + 0 + -4?
33
Let i be (-36191)/((-11)/(55/(-100))). Let a = i - -1810. Calculate the common denominator of a and 53/20.
20
Calculate the common denominator of 3480/560*(-1 - 10/(-6)) and -46/167.
1169
Let l be (-2973)/2*40/(-6). Calculate the common denominator of l/2340 - (-2)/13 and 43/4.
36
Let i be (-23)/2*(-220)/10. Suppose i + 1553 = -6*u. Find the common denominator of -4 + 1 + u/(-140) and -75/16.
80
Let i = 27323579219/226059015 + 1/6955662. Let c = -1596/13 + i. Calculate the common denominator of c and (-3)/(-9)*86/(-6).
90
Let n be (-3 - -4)/(3/33). Let o(h) = -h**2 - 2*h + 9. Let c be o(0). Suppose -c = -2*s + n. What is the lowest common multiple of s and 10?
10
Let u = 25158 - 1006409/40. Let g = -4376 - -131423/30. Calculate the common denominator of g and u.
120
Suppose 23 = 2*j + 7. What is the smallest common multiple of 36 and j?
72
Let b = -1/26 - -97/156. Let r = 20482 - 614347/30. Find the common denominator of b and r.
60
What is the lowest common multiple of ((-33)/6)/(7/(-28)) and 602?
6622
Suppose -75*y + 79*y - 32 = 0. What is the smallest common multiple of 2 and y?
8
Suppose 248 = -4*h - 72. Let s(l) = -7*l - 80. Let p be s(-10). Find the common denominator of 6/5 and p/(-30) - h/(-78).
65
Suppose -4*q - 5*t + 30 = 0, -6 - 5 = -q - 3*t. Let a(i) = -i + 27. Calculate the smallest common multiple of 2 and a(q).
22
Calculate the least common multiple of (120/(-28))/1*(-84)/((-144)/(-12)) and 8/6*(-18)/(-4).
30
What is the common denominator of ((-178)/(-24) - 4)/(-3*1) and 137/42?
252
Suppose 0 = -35*h + 152 + 58. Let i(g) = 3*g**2 - 5*g + 2. Calculate the least common multiple of h and i(4).
30
Let t be (-678)/(-21) - (-6)/(-21). Let u = -60 + t. Let y = u - -32. Calculate the lowest common multiple of 16 and y.
16
Calculate the common denominator of ((-2)/((-426)/9))/5 and 29/20.
1420
Suppose -2*i + 26 = 5*z, -3*i + 5 = 2*z - 3*z. Suppose -179*d - 40 = -183*d. Calculate the smallest common multiple of z and d.
20
Let o = -57101 - -53275241/933. Let l = o - -51259/6531. Find the common denominator of l and -7/4.
28
Suppose -3*n = -5*h + 174, 2*n = -2*h - 0*n + 76. Let p = h + -30. Calculate the lowest common multiple of p and 8.
24
Suppose 5*d - 4 = 3*d. Suppose -d*v + 0*v - 1 = -r, 0 = 5*r - 2*v - 21. Suppose -r*b = -b - 40. Calculate the smallest common multiple of b and 8.
40
Let b(j) = -j + 1. Let t(g) = -g**3 + 7*g**2 - 3*g - 8. Suppose 31 = l - 5*k, 4*l - 2*k = -l + 40. Calculate the lowest common multiple of b(-3) and t(l).
20
Suppose -4*d + 177 - 479 = -v, -5*v = -10. Let m = -793 + d. Let j = m - -1681/2. What is the common denominator of 103/10 and j?
10
Let q be (5 - 1) + -2 + 428. Let p = q - 6001/14. Find the common denominator of -113/14 and p.
14
Let t be (-2)/((-44)/1)*-274543 - 2. Let i = t + 12478. Calculate the common denominator of i and -65/44.
44
Let d(s) = 2*s**2 - 12*s - 8. Suppose 0 = -5*m + 2*m + 9. Suppose 4*u = 3*q + 78, -u - 2*q = m*q - 8. Calculate the least common multiple of u and d(-1).
18
Let j be ((-4)/(-8))/(1/4). Suppose k = j + 3. What is the common denominator of -2/3 and (-140)/(-6) - (k + -5)?
3
Let w = 15 - -15. What is the lowest common multiple of w and 24?
120
Suppose a + 395 = 4*n - 161, 5*n - 712 = -3*a. What is the smallest common multiple of n and 20?
140
Let m(h) = -h**3 + 4*h**2 + 7*h - 6. Let s be (-7 - -3)*4/(-4). Calculate the least common multiple of 4 and m(s).
44
Let c = 17775 + -693307/39. What is the common denominator of c and 73/84?
1092
Let w be (-2 - -6)/(-2)*-2. Suppose 0 = -q + 3*q - 5*u - 19, w*q - 24 = -4*u. Let o = 19 + -11. What is the least common multiple of q and o?
56
Let n = 49 + -38. Let x(a) = -a**2 - 8*a - 7. What is the smallest common multiple of n and x(-5)?
88
Suppose -8*h + 954 = -6. What is the lowest common multiple of 18 and h?
360
Let f(d) be the first derivative of d**3/3 - 9*d**2 - 44*d + 30. Let p(u) = 3*u - 1. Calculate the lowest common multiple of p(5) and f(22).
308
Let p(b) = -b + 5. Let v(f) = -f - 15. Let y be v(-9). What is the smallest common multiple of 5 and p(y)?
55
What is the common denominator of (-515)/78 - (-36 + 30) and -29/7?
546
Let h = 28433/126 + -1629/7. Let z be 9/(-12)*(-13)/30*1. Let t = z - 859/120. Find the common denominator of h and t.
18
Let n = 588 + -587. Calculate the smallest common multiple of n and 324.
324
Find the common denominator of (-4)/(-32) + (-172)/(-96) and 41/20.
60
Suppose 10*w + 114 = -46. What is the common denominator of w/6 - (-12)/8 and 0 + 0 - 30/(-32)?
48
Calculate the common denominator of ((-24)/(-28))/((-8)/68) and (-9*3/12)/((-126)/240).
7
Suppose l - 3*q + 129 = 0, 3*l + 2*q = -2*l - 679. What is the common denominator of -81/8 and 3/(l/(-933)) - (-2)/(-5)?
24
Let h(l) = -l**3 + 7*l**2 - 4*l - 7. Let n be h(6). Suppose 4*q - 12 - 12 = -4*j, n*j = -4*q + 25. What is the smallest common multiple of j and 11?
11
What is the common denominator of 45/2 and (-6010)/1044 + 84/(56/4)?
522
Let f = -375248/25 + 15014. Let q = 3757/400 - f. Let k = 29/4 + -357/44. What is the common denominator of k and q?
176
Let w(t) = -t**3 + t**2 + t - 2. Suppose s - 43 = -3*d, -1 = s + 1. Let g = 13 - d. What is the smallest common multiple of 12 and w(g)?
24
Let q = -689 + 969. Calculate the least common multiple of q and 1.
280
Let h = -623 + 661. What is the least common multiple of 209 and h?
418
Let n be 7 - (3 + 1) - 7. What is the common denominator of 69/(-18)*(-6)/n and 7/9?
36
Let d = 3261743/4706490 + -2/41285. Calculate the common denominator of 113/48 and d.
912
Suppose -2*p - 2*p = -1744. What is the lowest common multiple of 22 and p?
4796
Let c = -272 - -194. Let t = -28 - c. What is the smallest common multiple of t and 10?
50
Find the common denominator of (2/(-5))/(304/4085) and 10*(-1)/(-1)*(-90)/234.
104
Suppose u + 2*w + 8 = 2*u, 2*w + 12 = 2*u. Suppose 0*n = n - u. What is the common denominator of -32/5 and 161/9 + n/(
|
{
"pile_set_name": "DM Mathematics"
}
|
re?
100
How many hours are there in 21/2 of a week?
1764
Convert 189.7793ms to microseconds.
189779.3
What is 32/5 of a meter in centimeters?
640
What is one fifth of a meter in millimeters?
200
How many millilitres are there in one tenth of a litre?
100
How many kilograms are there in five eighths of a tonne?
625
How many grams are there in 3/10 of a kilogram?
300
What is 40.55616l in millilitres?
40556.16
Convert 138074.46 months to millennia.
11.506205
How many years are there in 0.8892369 millennia?
889.2369
What is 753679.3 years in decades?
75367.93
How many seconds are there in 3/8 of a day?
32400
What is one tenth of a litre in millilitres?
100
How many millilitres are there in 59/4 of a litre?
14750
Convert 64415.65nm to centimeters.
0.006441565
How many seconds are there in one quarter of a hour?
900
What is eighteen fifths of a litre in millilitres?
3600
How many centimeters are there in 3/32 of a kilometer?
9375
How many nanometers are there in one twentieth of a micrometer?
50
How many years are there in fifty-seven fifths of a millennium?
11400
How many milliseconds are there in 29/5 of a second?
5800
What is thirteen quarters of a decade in months?
390
How many centuries are there in 23.297637 months?
0.0194146975
What is 2831.069 millennia in decades?
283106.9
How many minutes are there in seven quarters of a hour?
105
How many hours are there in 5.870481 weeks?
986.240808
Convert 718.0124kg to milligrams.
718012400
How many milligrams are there in 9.903105ug?
0.009903105
Convert 1416.85956 milliseconds to days.
0.0000163988375
What is 147.5636 micrometers in centimeters?
0.01475636
What is 3518.247 centuries in decades?
35182.47
Convert 7380.784 nanometers to centimeters.
0.0007380784
Convert 190775.1ml to litres.
190.7751
How many millimeters are there in three tenths of a centimeter?
3
What is 1/5 of a litre in millilitres?
200
How many grams are there in 0.0187754mg?
0.0000187754
What is 23/8 of a gram in milligrams?
2875
How many kilograms are there in 3.43341 tonnes?
3433.41
What is 26/7 of a week in hours?
624
What is 229867.83 microseconds in hours?
0.000063852175
What is two fifteenths of a week in minutes?
1344
Convert 11260.82 millilitres to litres.
11.26082
How many nanoseconds are there in thirty-four fifths of a microsecond?
6800
What is 17.83146 micrograms in tonnes?
0.00000000001783146
Convert 0.1777322 litres to millilitres.
177.7322
What is one tenth of a decade in months?
12
How many millilitres are there in 4138.786l?
4138786
What is 3/10 of a litre in millilitres?
300
How many tonnes are there in 6328.938 kilograms?
6.328938
How many months are there in 241619.9 millennia?
2899438800
How many kilometers are there in 104.1093 millimeters?
0.0001041093
How many nanoseconds are there in twenty-five quarters of a microsecond?
6250
What is eighty-one quarters of a micrometer in nanometers?
20250
How many kilograms are there in 67074.74 micrograms?
0.00006707474
How many kilograms are there in eleven quarters of a tonne?
2750
How many seconds are there in 29/5 of a minute?
348
What is 49774.83s in nanoseconds?
49774830000000
What is 22580.916 months in millennia?
1.881743
How many centimeters are there in nine tenths of a meter?
90
How many litres are there in 598.549ml?
0.598549
What is thirteen fifths of a litre in millilitres?
2600
What is 700.992um in meters?
0.000700992
How many nanoseconds are there in 8824.463 minutes?
529467780000000
How many millilitres are there in 0.811384l?
811.384
How many years are there in seven halves of a millennium?
3500
How many seconds are there in 2/15 of a minute?
8
Convert 20.08741g to milligrams.
20087.41
How many millilitres are there in 774048.3l?
774048300
How many millennia are there in 0.8745764 centuries?
0.08745764
Convert 625.5275 centimeters to kilometers.
0.006255275
How many grams are there in thirty-two fifths of a kilogram?
6400
Convert 45909.08cm to micrometers.
459090800
Convert 86.9814 centimeters to kilometers.
0.000869814
How many millilitres are there in 301799.7l?
301799700
Convert 45.66785 millilitres to litres.
0.04566785
How many tonnes are there in 1559.874ug?
0.000000001559874
How many centimeters are there in fourty-nine fifths of a meter?
980
What is thirteen quarters of a litre in millilitres?
3250
What is 7/2 of a litre in millilitres?
3500
What is three tenths of a centimeter in millimeters?
3
How many meters are there in 49539.17 micrometers?
0.04953917
How many months are there in 83/3 of a decade?
3320
How many kilograms are there in 838909.5 milligrams?
0.8389095
How many months are there in 47665.85 decades?
5719902
What is one tenth of a tonne in grams?
100000
What is 227358.12 nanoseconds in minutes?
0.000003789302
How many micrometers are there in 21/4 of a millimeter?
5250
How many milliseconds are there in 44615.9 minutes?
2676954000
What is five eighths of a kilometer in centimeters?
62500
What is 21512.2 microseconds in nanoseconds?
21512200
What is five quarters of a litre in millilitres?
1250
What is one sixth of a hour in minutes?
10
What is 7/2 of a litre in millilitres?
3500
Convert 90.3606 weeks to nanoseconds.
54650090880000000
What is one quarter of a litre in millilitres?
250
What is 4/3 of a minute in milliseconds?
80000
What is seven quarters of a micrometer in nanometers?
1750
How many millilitres are there in three fifths of a litre?
600
What is 40463.48 millilitres in litres?
40.46348
What is 1/10 of a litre in millilitres?
100
What is 4.60152 hours in seconds?
16565.472
What is 25/2 of a kilometer in meters?
12500
What is 484381.7ml in litres?
484.3817
How many grams are there in 13/4 of a kilogram?
3250
Convert 0.4185176m to micrometers.
418517.6
How many hours are there in 4/3 of a day?
32
How many millilitres are there in 27/4 of a litre?
6750
How many milliseconds are there in 666471.7 days?
57583154880000
What is 0.7499323 litres in millilitres?
749.9323
What is 0.8193475cm in meters?
0.008193475
What is 1/4 of a litre in millilitres?
250
What is 3058.236s in milliseconds?
3058236
What is 1/4 of a litre in millilitres?
250
How many grams are there in 17/4 of a kilogram?
4250
How many kilograms are there in thirteen fifths of a tonne?
2600
What is three tenths of a millennium in decades?
30
What is 3/10 of a century in decades?
3
How many centimeters are there in thirteen quarters of a meter?
325
What is 19/4 of a century in months?
5700
What is 453.7239l in millilitres?
453723.9
How many months are there in 13/4 of a year?
39
How many years are there in fourty-seven quarters of a millennium?
11750
Convert 158894.9 kilograms to nanograms.
158894900000000000
What is 62/3 of a day in minutes?
29760
What is 1/4 of a meter in centimeters?
25
What is 75.04331 decades in months?
9005.1972
What is 3/10 of a kilogram in grams?
300
What is six fifths of a microsecond in nanoseconds?
1200
What is 6.73545 micrograms in grams?
0.00000673545
What is 1/10 of a kilometer in millimeters?
100000
How many kilometers are there in 58891.55m?
58.89155
What is 134.73 minutes in days?
0.0935625
Convert 25316.12 decades to years.
253161.2
What is ten sevenths of a week in days?
10
Convert 25.23449 grams to micrograms.
25234490
What is one fifth of a gram in milligrams?
200
How many months are there in one fifth of a millennium?
2400
What is 1/5 of a litre in millilitres?
200
Convert 3.230139 nanoseconds to seconds.
0.000000003230139
Convert 10.969113 months to decades.
0.091409275
What is thirty-four fifths of a centimeter in micrometers?
68000
What is 72/5 of a milligram in micrograms?
14400
What is 5/4 of a millimeter in micrometers?
1250
Convert 2368.337mg to grams.
2.368337
What is 0.1699619mm in centimeters?
0.01699619
Convert 9650.016 millimeters to nanometers.
9650016000
How many milliseconds are there in 9/10 of a second?
900
How many millilitres are there in 92.67444 litres?
92674.44
What is 37/2 of a millimeter in micrometers?
18500
What is three tenths of a milligram in micrograms?
300
What is 3/40 of a meter in millimeters?
75
Convert 443.2035t to nanograms.
443203500000000000
Convert 55009.79 litres to millilitres.
55009790
Convert 52.63221 milligrams to nanograms.
52632210
What is sixty-one quarters of a litre in mill
|
{
"pile_set_name": "DM Mathematics"
}
|
many hours are there in 0.8511271 weeks?
142.9893528
What is 5/4 of a litre in millilitres?
1250
What is three fifths of a litre in millilitres?
600
How many minutes are there in 15/4 of a hour?
225
How many years are there in one fifth of a millennium?
200
How many months are there in 4/15 of a century?
320
How many years are there in 37/5 of a decade?
74
How many meters are there in thirty-four fifths of a kilometer?
6800
What is 5/8 of a kilometer in meters?
625
How many millimeters are there in three eighths of a meter?
375
How many months are there in 7/6 of a century?
1400
Convert 17.809362 months to years.
1.4841135
Convert 20.83867 decades to centuries.
2.083867
How many kilometers are there in 74345.44m?
74.34544
Convert 192.295 weeks to days.
1346.065
What is eighteen fifths of a centimeter in micrometers?
36000
What is 57.25546t in micrograms?
57255460000000
How many millilitres are there in 402176.1l?
402176100
What is 7439.465nm in meters?
0.000007439465
How many days are there in 61.88087 weeks?
433.16609
How many millimeters are there in 1/10 of a meter?
100
How many millilitres are there in one twentieth of a litre?
50
How many minutes are there in one fifteenth of a week?
672
How many seconds are there in seven thirds of a hour?
8400
What is 87/4 of a meter in centimeters?
2175
How many millilitres are there in 5/4 of a litre?
1250
How many decades are there in 1269.516 years?
126.9516
What is 663.3998t in nanograms?
663399800000000000
What is one fifth of a millennium in decades?
20
What is 0.3873195ng in milligrams?
0.0000003873195
What is 8/25 of a microgram in nanograms?
320
What is 0.4011271 centimeters in micrometers?
4011.271
What is 21/2 of a hour in minutes?
630
What is fifty-five sixths of a century in months?
11000
Convert 0.5232862 grams to milligrams.
523.2862
How many weeks are there in 3570.1596 minutes?
0.3541825
What is 94.68264 millimeters in micrometers?
94682.64
What is 55/2 of a decade in months?
3300
What is 9/25 of a tonne in kilograms?
360
What is three fifths of a meter in centimeters?
60
Convert 507507.3 years to months.
6090087.6
How many kilograms are there in twenty-one halves of a tonne?
10500
How many milligrams are there in 15/4 of a gram?
3750
What is 50354.44ml in litres?
50.35444
How many litres are there in 355711.8 millilitres?
355.7118
What is 96.62828um in millimeters?
0.09662828
What is 499.1904 millilitres in litres?
0.4991904
What is seventy-seven halves of a litre in millilitres?
38500
What is 8460.266 millilitres in litres?
8.460266
How many minutes are there in twenty-nine sixths of a day?
6960
How many decades are there in 16.067577 months?
0.133896475
What is 4.265908 litres in millilitres?
4265.908
How many kilograms are there in three eighths of a tonne?
375
How many decades are there in 78787.5 millennia?
7878750
Convert 53822.6ug to nanograms.
53822600
What is 923768.2 milliseconds in microseconds?
923768200
What is 3/5 of a millimeter in micrometers?
600
What is thirty-four fifths of a centimeter in millimeters?
68
How many years are there in 0.1067682 millennia?
106.7682
How many grams are there in 1/20 of a tonne?
50000
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is one quarter of a tonne in kilograms?
250
What is 5744.612 weeks in milliseconds?
3474341337600
How many millilitres are there in 5/8 of a litre?
625
What is fifty-seven halves of a millimeter in micrometers?
28500
What is twenty-seven halves of a decade in years?
135
What is 462.9946ml in litres?
0.4629946
How many micrometers are there in 8/25 of a millimeter?
320
How many centimeters are there in 0.3846494km?
38464.94
What is 1/4 of a kilometer in centimeters?
25000
What is 0.091655nm in centimeters?
0.0000000091655
How many hours are there in 7/3 of a day?
56
How many millennia are there in 602805.3 decades?
6028.053
What is 88.78638 centuries in years?
8878.638
Convert 0.551248 decades to millennia.
0.00551248
How many nanograms are there in 632367.5 tonnes?
632367500000000000000
What is thirteen quarters of a century in years?
325
What is 0.3137233g in nanograms?
313723300
How many millennia are there in 6726.185 years?
6.726185
What is five quarters of a tonne in kilograms?
1250
What is 1808.018 years in months?
21696.216
Convert 0.4347489ns to milliseconds.
0.0000004347489
Convert 0.959038 centuries to millennia.
0.0959038
How many millilitres are there in 3/40 of a litre?
75
What is three fifths of a litre in millilitres?
600
Convert 784624.9 millennia to months.
9415498800
What is twenty-one quarters of a litre in millilitres?
5250
What is 20.997303ns in minutes?
0.00000000034995505
What is 992.3864 decades in centuries?
99.23864
What is 971089.83ns in days?
0.000000011239465625
How many decades are there in 212.98329 months?
1.77486075
How many days are there in 2/7 of a week?
2
What is 1/6 of a day in minutes?
240
What is 80.34909 litres in millilitres?
80349.09
How many nanometers are there in 1/10 of a millimeter?
100000
What is 1.401519 millennia in months?
16818.228
How many nanometers are there in 6/5 of a micrometer?
1200
What is ten thirds of a hour in seconds?
12000
What is 21/2 of a litre in millilitres?
10500
How many millimeters are there in 3/5 of a centimeter?
6
Convert 80475.25 nanometers to centimeters.
0.008047525
What is 43/4 of a milligram in micrograms?
10750
Convert 160848.9l to millilitres.
160848900
What is 21.7894 millennia in centuries?
217.894
How many centuries are there in 1723.19 millennia?
17231.9
How many millilitres are there in 51/2 of a litre?
25500
What is 6.657037 milligrams in tonnes?
0.000000006657037
How many micrometers are there in 5.335516 nanometers?
0.005335516
How many nanoseconds are there in 852.1722 days?
73627678080000000
How many seconds are there in seven halves of a minute?
210
How many nanometers are there in thirteen quarters of a micrometer?
3250
What is 21/2 of a week in hours?
1764
Convert 305.6903 nanograms to micrograms.
0.3056903
Convert 79.1518392ns to weeks.
0.00000000000013087275
What is 1360.019 litres in millilitres?
1360019
How many hours are there in 79757.028 nanoseconds?
0.00000002215473
What is 64.1947l in millilitres?
64194.7
How many nanograms are there in 9.281022 milligrams?
9281022
How many microseconds are there in 8645.934 days?
747008697600000
What is 7/2 of a kilometer in meters?
3500
How many milligrams are there in 3670.36 nanograms?
0.00367036
How many nanograms are there in seven halves of a microgram?
3500
How many seconds are there in seven halves of a hour?
12600
How many minutes are there in 13/5 of a hour?
156
Convert 488011.8 days to seconds.
42164219520
What is one quarter of a kilometer in centimeters?
25000
Convert 99844.37 weeks to minutes.
1006431249.6
How many grams are there in 27/4 of a kilogram?
6750
Convert 5598.841 millilitres to litres.
5.598841
How many years are there in twenty-one quarters of a millennium?
5250
Convert 2.456968g to nanograms.
2456968000
What is 0.1515598ml in litres?
0.0001515598
How many milligrams are there in 97.19995 tonnes?
97199950000
How many millilitres are there in 12/25 of a litre?
480
How many millilitres are there in 15/4 of a litre?
3750
Convert 12723.8 centuries to millennia.
1272.38
What is fifty-seven fifths of a litre in millilitres?
11400
Convert 0.0954551 millennia to centuries.
0.954551
How many millilitres are there in 19/4 of a litre?
4750
How many millilitres are there in 0.1011822 litres?
101.1822
What is 4268.905ml in litres?
4.268905
Convert 175249.368 hours to weeks.
1043.151
What is 788973.7 millennia in years?
788973700
What is 68674.89l in millilitres?
68674890
Convert 19363.36 decades to centuries.
1936.336
What is one fifth of a millimeter in micrometers?
200
What is 55/4 of a kilogram in grams?
13750
How many seconds are there in one fifth of a day?
17280
What is twenty-one halves of a litre in millilitres?
10500
What is 6/5 of a minute in seconds?
72
How many milliseconds are there in 9.85683 nanoseconds?
0.00000985683
How many months are there in 4.845625 millennia?
58147.5
How many months are there in 105.3244 decades?
12638.928
How many milligrams are there in 43/2 of a gram?
21500
What is 21/8 of a kilometer
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-252).
3/4
What is the value of 2 + 2/(-6) + (-130)/60?
-1/2
(8/(-6))/(-4*(-4)/24)
-2
What is 0 + 4 - (-1 - -1)?
4
Calculate 65/(-25) + 2 - (-66)/(-15).
-5
Evaluate ((-21)/(-84))/((-39)/24).
-2/13
(-2)/(4*1)*4/(-9)
2/9
What is (-15)/(1155/(-44))*-1?
-4/7
Calculate (-11)/(-35) - 5/(25/3).
-2/7
What is 8/12*(6 + 0)?
4
Calculate (4/(-6) - (-88)/33) + -2.
0
(-52)/(-39) - 9/18
5/6
What is 48/(-8) - 5*-1?
-1
Calculate 32/48*6/(-8).
-1/2
Evaluate (5/(-2))/(8/16).
-5
Calculate (-1035)/276*(-3)/15.
3/4
Calculate 1/(((-14)/(-4))/7).
2
Calculate (2/(-5))/(6/(-25)*-5).
-1/3
Calculate -4 + 4 + -2 + 6.
4
What is the value of 2/8*1*14/(-21)?
-1/6
Evaluate (-20)/420*(-2 + 8).
-2/7
56/(-8) + (-30)/(-10)
-4
Calculate ((-63)/(-35))/3 - 117/120.
-3/8
What is (-12)/18*12 - (0 + -4)?
-4
Evaluate -2 + (-21 - 4)/5.
-7
Evaluate (-10)/(-4)*(-2)/10*1.
-1/2
What is the value of (-2)/(-7) + (-8)/56?
1/7
Evaluate ((-3)/(3/4) + 2)/(-4).
1/2
Calculate ((-11)/(-6) + -2)/(2/(-4)).
1/3
What is the value of 75/(-20) + ((-12)/1)/(-4)?
-3/4
What is the value of (-8)/(-16)*4/(-2)*-1?
1
What is the value of -3 + 4 + (-14)/6?
-4/3
Calculate (-34)/(-51)*27/(-6).
-3
Calculate -9 + 710/60 + -4.
-7/6
Evaluate 6/4*32/(-24).
-2
2/(-6)*(-6 - -5)*12
4
((-16)/(-56))/(4/14)
1
What is the value of ((-1)/(-6))/((-10)/80)?
-4/3
What is the value of (24/(-80))/(6/(-5))?
1/4
What is (-1)/7 + (-216)/(-728)?
2/13
(-2)/(8 - (-20)/(-6))
-3/7
What is 4*(-1)/(-2 + 0)?
2
What is 341/77 - 8/(-14) - -1?
6
What is the value of (10/(-3))/(52/12 + -5)?
5
Calculate -4 + (0 - 1) - (-174)/29.
1
((-20)/(-6))/(6/9)
5
What is the value of 9 - (-16)/8 - 7?
4
Calculate (3/5)/((-8)/70) + 5.
-1/4
Evaluate (-530)/110 - (3 - 8).
2/11
Calculate 7/(-42)*4*6/22.
-2/11
Calculate (6/(-36)*2)/((-8)/6).
1/4
What is the value of 27/(-18)*32/(-12)?
4
(-24)/4*((-64)/(-12) + -6)
4
What is (1 - ((3 - 2) + 1))*-5?
5
Calculate ((-4)/(-28))/((-6)/(-4)).
2/21
What is the value of ((-1)/2)/((-2)/12)?
3
What is the value of 4 - (17/(-51))/(2/6)?
5
Calculate 1612/1860 - (0 - (-4)/6).
1/5
What is 4/(-22) - (-18)/99?
0
1/(-7) - 210/245
-1
209/(-76) - 3/(-1)
1/4
6/8 - (-3 + 77/28)
1
Evaluate ((-22)/33 - (-14)/30) + 1.
4/5
Evaluate ((-64)/112)/(4/42).
-6
What is ((-64)/224)/(18/(-14))?
2/9
Calculate ((-152)/(-57))/((-2)/(-3)).
4
Evaluate 96/630 + (14/49)/(-1).
-2/15
What is the value of 640/224 - 3*1?
-1/7
1 + (-11)/(-7) - (-33)/77
3
What is the value of (-5)/(-1)*(-5 + 4)?
-5
What is (-2)/2 - 10/((-160)/24)?
1/2
What is 16/72*(2 + -5)?
-2/3
-7*108/99 - -8
4/11
What is the value of (-2)/(-4) + -9 + 10?
3/2
What is the value of ((-6)/9)/(12/54*3)?
-1
Calculate (-584)/504 - 4/(-9).
-5/7
Evaluate (4*(-5)/780)/(2/(-12)).
2/13
Calculate 29/(-90) - 15/(-150).
-2/9
(6/(-27))/((-1)/6)
4/3
Evaluate (-12)/(-30) - 0*(-1)/2.
2/5
Evaluate ((-8)/3)/(214/321).
-4
What is 9/6*((-5)/6 + 1)?
1/4
Evaluate (-1)/(-4) + 49/(-28).
-3/2
Calculate ((-40)/(-6))/5 - (-4)/(-6).
2/3
(-312)/65 - 10/(-2)
1/5
What is ((-21)/14)/((-6)/(-4))?
-1
Calculate ((-2)/(-4))/((-42)/(-20) + -2).
5
Evaluate (3/(-12) + 0)/(35/(-60)).
3/7
Calculate -14*2/(-4) - 5.
2
Evaluate 31/(310/(-4)) + 17/(-20).
-5/4
Calculate 10/3 + -1 - (6 - 3).
-2/3
Evaluate ((2 - 6) + -1)*556/6950.
-2/5
Calculate (10 + (-3 - 9))*(-6)/(-15).
-4/5
What is the value of 3*2/(-15) - (-1848)/1120?
5/4
Calculate 9/((-297)/110) + 10/2.
5/3
Evaluate (3/(-9))/((-54)/270).
5/3
4/(-12)*(0 + 6/10)
-1/5
Evaluate -4 - -13 - (-2 + 7).
4
What is (-1 - -11)*6/15?
4
(4/(-14))/((4 - -3)/(-7))
2/7
Calculate (0/1)/(-2) + (-37)/148.
-1/4
What is -3 + (50/15)/(2 - 1)?
1/3
Calculate 3/((-9)/(-3) - 2).
3
Calculate (114/24 + -4)/(18/4).
1/6
2/10*0/4
0
Calculate (63/(-42))/(6/(-8)).
2
What is the value of -11 + 3 - (-2 - -26)/(-8)?
-5
Evaluate (-1)/((-24)/(-32) + -1).
4
3 + 280/(-45) + 4/18
-3
What is the value of (-10)/85 + 19/17?
1
Calculate 18/135 - (-354)/45.
8
35/14 - 93*(-4)/(-120)
-3/5
Calculate 55/4 + 54 + -67.
3/4
Calculate -1*4 + (1 - 4) + 1.
-6
(-3243)/(-987) + 0 + (-2)/7
3
Calculate 1 + 21/(-4) - -3.
-5/4
Calculate 3*(-40)/12 + 6.
-4
What is -3 + 6 - (11/5 + 1)?
-1/5
Calculate (-1 + 9/(-5))*(-1970)/(-3152).
-7/4
Evaluate (13 - 12)/(2/(-4)).
-2
Evaluate ((-290)/(-30) + -10)/(1/(-9)).
3
1/18*-6*26/39
-2/9
Calculate 62/(-40) + (-24)/(-30).
-3/4
Evaluate (-7 - 3 - -9)/(3/1).
-1/3
What is the value of (4/6)/((-30)/(-18))?
2/5
What is the value of 3*(((-18)/3 - -2) + 3)?
-3
Calculate (-4)/3*(-189)/(-882).
-2/7
What is the value of (-3080)/(-1463) + (6/(-19))/3?
2
Evaluate ((-10)/(-50))/(2/15).
3/2
Evaluate (-3)/9*21 + 9.
2
What is 11/(-33) + (-4)/(-1) + -3?
2/3
Evaluate -2*(-69)/(-34) - (-4 - 0).
-1/17
Evaluate (-5)/(385/(-517)) - 7.
-2/7
What is 72/154 - 2/7?
2/11
2/(6/(-9))*15/75
-3/5
Evaluate (8/(-2))/((-180)/315).
7
Evaluate (18/(-52) - 4/26)/(-2).
1/4
3 - 20/(-6)*5/(-5)
-1/3
Evaluate 20/30*(5 - 146/28).
-1/7
(-13)/(-1638)*-12 - (-16)/(-126)
-2/9
What is (-6)/5 + -3 + 5?
4/5
What is the value of 1872/2184*(28/(-3))/(-2)?
4
Calculate 180/(-63) - 6/(-2).
1/7
What is the value of (165/(-300) - (-3)/10)*1?
-1/4
(-2)/(-17) - ((-1350)/85 + 12)
4
(2 - (-2)/(-6)) + (-11)/(-33)
2
What is the value of 0 + -10 + 1 + (-5)/(-5)?
-8
What is the value of 2/((-11)/3 + 3) - -2?
-1
What is the value of (4 - 2)/(-17 - -3)*-1?
1/7
Evaluate (-265)/(-53) - 1/1.
4
Calculate (14/7)/(7 + -4).
2/3
Evaluate (-1 + 2 + (-14 - -13))/2.
0
What is ((-2)/10)/((-304)/120 + 2)?
3/8
What is (3 - 0)/(30/(-8))?
-4/5
What is ((-12100)/(-84))/11 - 6 - 7?
2/21
30/(-100)*(-12)/(-9) + 0
-2/5
Calculate 1 + -1 + -2 + 4 - 4.
-2
Evaluate (-2)/(-3) + -3*39/(-27).
5
Evaluate (-3 - -2)/(2/8).
-4
Evaluate (64/(-12) + 5)/(2/(-6)).
1
((1/3)/(2/(-54)))/(-6)
3/2
244/(-2318) - 26/114
-1/3
Evaluate -8 - -10*((-22)/(-5) + -4).
-4
Evaluate (4 - (-30)/(-3))/(2 - 0).
-3
Calculate (3/(-6))/(3/(-9))*2.
3
Calculate ((-42)/(-21))/(0 + -2).
-1
What is (-10)/(12 + 0 + -4)?
-5/4
Calculate (2/3)/((-6)/(-27)).
3
What is the value of 198/231 - (-16)/(-21)?
2/21
(1 + -3 + 2)/(4 - 6)
0
Calculate 1*(6 + -5 + -2).
-1
Evaluate 220/(-88) - 42/(-20).
-2/5
Evaluate -5 - (((-355)/115 - -3) + -5).
2/23
Calculate (9/(-135))/((-3)/6).
2/15
What is the value of (-345)/(-506) + (-4)/22?
1/2
(-8 + 7)*1 - (4 + -1)
-4
What is the value of 13 + -9 - -7 - 14?
-3
Evaluate (-1)/((-3)/36) + -3.
9
0 + 3 - 176/66
1/3
Calculate (-4 - (-14)/4)*(-12)/(-15).
-2/5
Evaluate -2*2 - (-30 + 24).
2
What is (2/5)/((-531)/135 - -4)?
6
Calculate (341/77 + -5)/(2/(-3)).
6/7
What is -2 + (2/(-13) - 11/13)?
-3
What is the value of (-10)/5 + 2 + -1?
-1
What is the value of (-6)/(-15) - 8/100*5?
0
Evaluate (-638)/(-2233) + ((-47)/(-7) - -2).
9
Evaluate (-3 + ((-3696)/(-150))/8)*-10.
-4/5
Calculate ((-57)/114)/(2/4).
-1
Evaluate 3180/(-315) - 40/(-4).
-2/21
What is 4 + (-4 - 10/(-25))?
2/5
What is (-3 - (34/(-8) + 0))*-1?
-5/4
What is the value of (16/8)/(7 + 3)?
1/5
What is the value of 8/(-10) + (-280)/(-225)?
4/9
Calculate (36/6 + 4)/2.
5
What is (-1)/(-4) - (-2470)/2600?
6/5
Evaluate 0/((3/5)/(2/(-10))).
0
Calculate (3 + -1 - 5)*(-4 + 3).
3
Evaluate (-1508)/(-406) + 4/14.
4
Calculate (9/(-6))/((-8)/((-80)/(-45))).
1/3
What is the value of (-2074)/(-272) + 12/32?
8
Evaluate (-156)/(-42) - (24/(-3))/(-2).
-2/7
((-32)/(-288))/((-8)/(-18))
1/4
What is (-27)/(-12) - 12/8?
3/4
Calculate (-1)/(-8) - (-23)/184.
1/4
What is (-50)/250 + 11/5?
2
What is the value of ((-7)/(11 - 32))/(14/(-12))?
-2/7
Calculate -4 - (-55)/20 - 2/8.
-3/2
Calculate 146/(-365)*(-2)/(-12).
-1/15
Evaluate (6/9)/(4/18).
3
What is the value of (-80)/(-108) - (-26)/(-351)?
2/3
Evaluate -17 + (-549)/(-36) + 90/56.
-1/7
Evaluate ((-5)/(-12))/5*(-48)/42.
-2/21
((-1)/4)/(-6*50/480)
2/5
Evaluate 12/30*-5 + 0/3.
-2
3/(-10)*(-1860)/279
2
Calculate ((-5)/(-3) - 2)/((-2)/6).
1
Evaluate -4*1/(-18) - 5/(-45).
1/3
0 + (-2)/(-7) + 416/(-182)
-2
Calculate (-8 + 15 - 6) + -2*2.
-3
What is the value of (1 + -2 + 9)*(-1)/2?
-4
What is the value of 60/(-200) + (-4)/(-80)?
-1/4
Calculate ((-1)/(-10))/((-2)/(-4)).
1/5
What is the value of (36/(-8) - -2)*20/(-25)?
2
Evaluate (-8)/(156/(-16) + 2/(-8)).
4/5
Calculate 1 - -2 - (-9)/(-9).
2
1/6 + (-15)/30
-1/3
Calculate ((-5)/((-15)/2))/((-6)/(-9)).
1
What is the value of (0/(-1))/(-1) - (-20)/(-5)?
-4
-11 + (-1)/(48/(-520))
-1/6
Evaluate 6/(-6
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate -2*m(u) - s(u).
u + 32
Let l(g) be the first derivative of 5/2*g**2 + 32 + 7*g. Let b(p) = 23*p + 21. Let y(m) = 11*m + 11. Let c(k) = 2*b(k) - 5*y(k). Give -6*c(h) - 11*l(h).
-h + 1
Suppose 3*y - 172 = 5*o, 3*y + 5*o = 3*o + 137. Let z(v) = 0*v**2 + y*v - 43*v - 2*v**2 - 3*v**3. Let s(a) = 2*a**3 + 2*a**2 - 5*a. Give -4*s(h) - 3*z(h).
h**3 - 2*h**2 + 2*h
Let u(o) = -128*o**3 - 3*o**2 - 3*o + 7. Let t(h) = -86*h**3 - 2*h**2 - 2*h + 5. What is 7*t(v) - 5*u(v)?
38*v**3 + v**2 + v
Let v(r) = -4*r**2 - 6 + 3*r**2 - 4*r + 2 - 1 - r. Let f(a) = a**2 + 3*a + 2. Calculate 5*f(z) + 3*v(z).
2*z**2 - 5
Let r(g) = 1. Let q be (0/(-5))/(1 + 2). Let j be (q + 3)*(-14)/(-6). Suppose j*a - 3 = 4*a. Let p(h) = 3*h + 3. Determine a*p(b) - 4*r(b).
3*b - 1
Suppose 0 = 16*y + 49*y + 520. Let g(h) = -6*h + 2. Let a(w) = -17*w + 6. What is y*g(t) + 3*a(t)?
-3*t + 2
Let d(h) = 273*h + 15. Let f(j) = 39*j + 2. Determine 6*d(x) - 45*f(x).
-117*x
Let r(c) = 6*c**3 - c**2. Let z be (0 - 3) + 80 + -78. Let w(k) = -k**3 + 1. What is z*r(i) - 4*w(i)?
-2*i**3 + i**2 - 4
Let r(w) = 27*w**3 + 15*w. Let l be 1*4 - (-1 - -1). Let t be 3/((-9)/20 - ((-121)/(-44) - 3)). Let h(j) = 7*j**3 + 4*j. Determine l*r(m) + t*h(m).
3*m**3
Let t(s) = -s**2 - 4*s. Let b(u) = 3*u**2 + u + 4. Let i(m) = -7*m**2 - 3*m - 10. Let g(k) = 5*b(k) + 2*i(k). Give 4*g(v) - t(v).
5*v**2
Let v(y) = -5*y**3 + 20*y**2 + 2*y**3 + 11*y - 9*y**2 + 2*y**3 - 8 + 19. Let j(a) = -3*a**2 - 3*a - 3. Calculate 22*j(g) + 6*v(g).
-6*g**3
Let q(n) = -5*n + 4. Let k be 6/2 + 36/(-21)*175/50. Let b(p) = -4*p + 3. Let h(t) = -t - 3. Let d be h(-5). Calculate d*q(o) + k*b(o).
2*o - 1
Let s be 8 + 2 + -3 - 0/(-1). Let o be 2/s - (-38)/14. Let v(i) = -14*i**2 - 8*i + 9. Let q(t) = 5*t**2 + 3*t - 3. What is o*v(a) + 8*q(a)?
-2*a**2 + 3
Let a(m) = m**3 - m**2. Let h(w) = -45*w**3 - 10*w**2. Calculate 50*a(x) - 5*h(x).
275*x**3
Let u = -11 - -7. Let c(x) = 6*x**2 - 4. Let s(p) = -7*p**2 - 2*p + 3. Let m(h) = -22*h**2 - 7*h + 9. Let z(n) = 2*m(n) - 7*s(n). Calculate u*z(q) + 3*c(q).
-2*q**2
Let q(b) = 10*b**2 + 5*b. Let i be (-6)/(5 - (6 + -4)). Let n(s) = s. Determine i*q(u) + 10*n(u).
-20*u**2
Let w(x) = 7*x**3 + 5*x**2 - 5*x. Let r(k) = 10*k**3 + 7*k**2 - 7*k. Let d(s) = s**3 + 12*s**2 + s + 7. Let j be d(-12). What is j*r(y) + 7*w(y)?
-y**3
Let m(i) = 2*i**2 - 3*i. Let w be (-243)/27 - 10/4*-2. Let x(u) = -2*u**2 + 4*u. What is w*m(r) - 3*x(r)?
-2*r**2
Let o(w) = 5*w**2 + 97. Let b(r) = -r**2 - 24. Calculate 9*b(x) + 2*o(x).
x**2 - 22
Let r = 175 + -172. Let g(k) = -1. Let b(m) = -m + 1. What is r*b(o) + 4*g(o)?
-3*o - 1
Let j(o) = 2*o - 196. Let x(u) = -u + 100. Calculate -4*j(c) - 10*x(c).
2*c - 216
Let o = 20 - -18. Let r(f) = -20*f**2 + 17 - 38*f + o*f. Let m(k) = -7*k**2 + 6. What is -17*m(i) + 6*r(i)?
-i**2
Let y(t) = -14*t**2 - 543*t + 5. Let o(f) = -11*f**2 - 542*f + 4. Determine 5*o(d) - 4*y(d).
d**2 - 538*d
Let o(p) = -189*p**3 + 2*p - 1. Let a(f) = -3*f**3. What is 4*a(y) + o(y)?
-201*y**3 + 2*y - 1
Let y(p) = -7*p**3 - 2*p**2 - 4*p - 20. Let z(w) = -8*w**3 - 2*w**2 - 5*w - 22. Calculate 6*y(o) - 5*z(o).
-2*o**3 - 2*o**2 + o - 10
Let i(w) = 26*w + 84. Let j(b) = 42*b + 169. Give 5*i(x) - 3*j(x).
4*x - 87
Let u(y) = -5*y**3 - 4*y**2. Let d(g) = g**2 + 2*g - 74. Let a be d(8). Let j(c) = -4*c**3 - 5*c**2. Determine a*j(w) - 5*u(w).
w**3 - 10*w**2
Let o(k) = 4*k**2 - 4*k - 4. Let l(c) = -6*c + 0*c - 9*c + 5*c - 9 + 9*c**2 + c. Calculate -2*l(m) + 5*o(m).
2*m**2 - 2*m - 2
Let b(y) = 15*y**3 - 3*y**2 - 3*y + 3. Suppose 10 = 3*a - 2*i, i + 34 = a + 30. Let p(k) = 15*k**3 - 2*k**2 - 2*k + 2. Give a*b(l) - 3*p(l).
-15*l**3
Let j(o) = -3*o + 7. Let g(l) be the third derivative of -l**4/24 + l**3/6 + 850*l**2. Calculate -2*g(i) + j(i).
-i + 5
Let b(y) = -5*y - 6. Let d(c) = 5*c + 7. Let g = 239 - 245. Give g*d(h) - 7*b(h).
5*h
Let n(r) = -6*r**2 - 13*r - 2. Let w(s) = 7*s**2 + 13*s + 1. Determine -5*n(x) - 4*w(x).
2*x**2 + 13*x + 6
Let d(r) = -r**3 - 1. Let u(a) = -4*a**3 + 2*a**2 - 4*a - 1. Determine 3*d(f) - u(f).
f**3 - 2*f**2 + 4*f - 2
Let i(j) = -j. Let m(y) be the first derivative of -y**2/2 - 24. Let q = -35 - -11. Let k be (q/18)/((-2)/(-6)). Give k*i(c) + 5*m(c).
-c
Let n(m) = 4864*m**3 + 16416*m**2 - 10944*m + 5472. Let r(a) = -a**3 - 3*a**2 + 2*a - 1. Calculate -2*n(l) - 10944*r(l).
1216*l**3
Let n(s) = -6*s**2 - 6*s - 4. Let c(p) = 1 - 2*p - p - 2*p - 2 + 4*p. What is 4*c(j) - n(j)?
6*j**2 + 2*j
Let l(o) = 17*o**2 - 423*o - 7. Let k(q) = -5*q**2 + 141*q + 2. What is 7*k(h) + 2*l(h)?
-h**2 + 141*h
Let y = 660 + -664. Let b(n) = -2*n**3 - 4*n**2 + n + 4. Let t(u) = u**3 - u - 1. Calculate y*t(f) - b(f).
-2*f**3 + 4*f**2 + 3*f
Let i(g) = 2*g + 5. Let o(a) = a + 1. Let n(p) = i(p) - 6*o(p). Let v(m) = -5*m + 25. Let c be v(4). Let u(x) = -9*x - 3. What is c*n(h) - 2*u(h)?
-2*h + 1
Let s(a) = -17*a + 13. Let g(x) = 5*x + 0*x - x - 38 + 35. Suppose 8*f - 3*f = -30. Calculate f*s(m) - 26*g(m).
-2*m
Let s(t) = 4*t - 5*t - 67 + 67. Suppose -3*a = -0*a + 6. Let r(i) = 6*i - 1. Give a*r(y) - 10*s(y).
-2*y + 2
Let u = 13 - 21. Let n = u - -13. Let y(b) = -4*b**3. Let r(c) be the third derivative of -c**6/60 - 5*c**2. What is n*r(a) - 2*y(a)?
-2*a**3
Let i(d) = 1. Let s(k) = -k**3 + 2*k**2 - 4. Suppose -7*l - 14 + 28 = 0. Suppose 0*n + 2*n - 2 = 0. Give l*i(p) + n*s(p).
-p**3 + 2*p**2 - 2
Let d(n) = 15*n + 56. Let l(p) = -4*p - 14. Determine 2*d(f) + 9*l(f).
-6*f - 14
Suppose 10*p + 6 - 46 = 0. Let w(r) = 16 - 8 - 9 - r. Let d(t) = -3*t - 2. Calculate p*d(l) - 10*w(l).
-2*l + 2
Let n(x) = 2*x + 2 - 3 - 3. Let v(z) = 15*z + 8. Let h(k) = -6*k - 5. Let o(m) = 9*h(m) + 4*v(m). What is -7*n(r) + 2*o(r)?
-2*r + 2
Let x(h) = 2*h. Let u(n) be the first derivative of 2*n + 13 + 6 - 3*n + 8*n**2. Calculate -2*u(f) + 18*x(f).
4*f + 2
Let s(v) = -2*v**3 + 3*v**2 - 2*v + 3. Let o(n) = n**2 + n + 1. Suppose 51*y - 12 = 63*y. Determine y*s(g) + 3*o(g).
2*g**3 + 5*g
Let y(h) = 234*h**3 + 4*h**2 + 4. Let c(i) = 234*i**3 + 3*i**2 + 3. What is 4*c(r) - 3*y(r)?
234*r**3
Let c(a) = -39*a - 19. Let v(u) = -162*u - 79. Let p(w) = 25*c(w) - 6*v(w). Let b(q) = -q. Let r be (1*-4 - -2) + 1. Give r*p(h) + 2*b(h).
h + 1
Let u(g) = 53*g**2 + 13*g + 2. Let k(q) = q + 1. Let y(r) = -6*k(r) + 3*u(r). Let f(o) = 10*o**2 + 2*o. What is 33*f(n) - 2*y(n)?
12*n**2
Let c(h) = -6*h**3 - 5*h**2 + 353*h. Let j(v) = -3*v**3 - 3*v**2 + 175*v. Calculate -3*c(n) + 5*j(n).
3*n**3 - 184*n
Let x(v) be the second derivative of 1/6*v**3 + 0 + 1/2*v**2 + 3*v. Let a(j) = 4*j + 1. Calculate -a(s) + x(s).
-3*s
Suppose 27*z - 10 = 22*z. Let u(s) = -8*s**2 + 7*s**3 - 2 + 21*s + 2*s**z - 4 - 15*s. Let g(k) = 15*k**3 - 13*k**2 + 13*k - 13. Calculate -6*g(t) + 13*u(t).
t**3
Let s(u) = -6*u + 4. Let p(q) be the first derivative of 7*q**2/2 - 5*q + 202. What is -3*p(v) - 4*s(v)?
3*v - 1
Let q(d) = 3*d**2 - d + 7. Let n(r) = -r**2 - 1. Let x = -6 - -11. Let m(a) = a + 6. Let i be m(-5). Determine i*q(b) + x*n(b).
-2*b**2 - b + 2
Let t(f) = -288*f**2 + 8*f**3 + 288*f**2 + 12*f - 4*f. Let d(k) = -k. Determine 8*d(l) + t(l).
8*l**3
Let i(a) be the first derivative of 2*a**2 + 6*a + 342. Let n(h) = h - 1. Calculate -i(t) - 4*n(t).
-8*t - 2
Let w(q) be the first derivative of -3*q**4/4 - q**3/3 - 4*q + 64. Let b(z) = -6*z**3 - 3*z**2 - 9. Determine -2*b(c) + 5*w(c).
-3*c**3 + c**2 - 2
Let h(c) = -c**3 - 2*c**2 - 2*c - 2. Let v(p) = -205*p**3 - 2 + p + 407*p**3 - 203*p**3 + p**2 + 5 - 2. Let o = 6 - 8. Give o*h(i) - 4*v(i).
6*i**3
Let c(k) = -30*k**2 + 21. Let b be (-3)/((-9)/66) - 1. Let d(q) = 3*q**2 + 4. Let g(u) = -6*u**2 - 6. Let l(t) = 5*d(t) + 3*g(t). Give b*l(n) - 2*c(n).
-3*n**2
Let p(o) = 220*o**3 - 9*o**2 - 9*o + 1. Let y(k) = 55*k**3 - 2*k**2 - 2*k. Determine 2*p(q) - 9*y(q).
-55*q**3 + 2
Let o(f) = -594*f**2 - 2*f - 6. Let i(k) = 2374*k**2 + 9*k + 26. Give -2*i(a) - 9*o(a).
598*a**2 + 2
Let d(s) = 2*s**2 - 4*s + 10. Let z(i) = -2*i**2 + 5*i - 9. Let x be 644/161*(-1 - 0). Determine x*z(n) - 5*d(n).
-2*n**2 - 14
Let c(n) = -33*n + 7. Let f = 1274 + -1271. Let x(q) = 17*q - 3. Calculate f*c(u) + 7*x(u).
20*u
Let w(t) = t**3 + 8*t**2 + 5*t - 9. Let v be w(-7). Let f(x) = 2*x + 5 - 8*x + v*x. Let i(c) = 1. Suppose -u - 4*u = -5. Determine u*f(m) - 3*i(m).
-m + 2
Let n(
|
{
"pile_set_name": "DM Mathematics"
}
|
o = 2 + p for o.
-5
Let a be (-12*(3/(-2) - -1))/(27 - 25). Solve -a*h - 3*h = h for h.
0
Let v(o) = -59*o - 337. Let r(l) = 19*l + 112. Let b(g) = 19*r(g) + 6*v(g). Let p be b(-15). Solve -p = -3*s - 13 for s.
-4
Let i(r) = 7*r - 205. Let y be i(30). Suppose 3*z - 20 = y*o, -18 = -4*z + 5*o - 7*o. Solve z*c - 4*c = 0 for c.
0
Let g(k) = 4*k + 3. Suppose -2*a = 5*n + 9, -2*n - 2*a = -4*n + 2. Let s(x) = x**3 + 1. Let w be s(n). Let p be g(w). Solve -t + 1 = p for t.
-2
Suppose -l + 87 = 86. Suppose 4*z + 5*n + 3 = 27, -5*z + 2*n - 3 = 0. Solve 0 = c - z - l for c.
2
Suppose 15*j - 118 - 100 = -188. Let b = -6 - -4. Let f = b + 5. Solve j*z - z = f for z.
3
Suppose -y + 5*y - 8 = 0. Let p = 20 - 14. Suppose -i - p*i = 8*i. Solve i = -l + y*l - 5 for l.
5
Let q(z) = 6*z**2 - 24*z + 53. Let c be q(2). Solve -c = -43*r + 272 for r.
7
Let p be (-54)/(-2)*(-7)/((-189)/9). Suppose 7*i - 3*i + 2*u = 42, u = i - 9. Let g be p - i - (3 + -8). Solve y = -g*y - 15 for y.
-3
Suppose -3935 - 1283 = -204*n + 86. Solve n*z - 13 + 221 = 0 for z.
-8
Let c(o) = 6*o - 71. Let x be c(11). Let b(p) = 10*p + 52. Let n be b(x). Solve -4*r + n = -14 for r.
4
Let i(b) = b**2 - 11*b - 24. Let j be i(13). Suppose y + 1 = j*z - 0, 0 = 4*y + 4. Suppose m - 2 = -z*m. Solve -m*h = -3*h + 1 for h.
1
Suppose -9*w + 55 = 19. Let j(k) = 36*k + 0*k**2 + 0 + w - 2*k**2 - 2*k**3 - 35*k. Let p be j(-2). Solve p*d + 12 = 6*d for d.
-3
Let p(x) = x**3 - 6*x**2 + x - 1. Let v be p(6). Suppose v*m - 2*g - 25 + 0 = 0, m - 12 = -g. Solve 8*t - m*t = -4 for t.
-4
Let z(d) = 5*d**2 + 10*d - 27. Let f(q) = -2*q**2 - 5*q + 13. Let h(y) = 7*f(y) + 3*z(y). Let r be h(4). Solve 4 - 16 = r*l for l.
-2
Let h(u) = 22 + 16*u + 126 - 9 - 11. Let t be h(-8). Solve t*m + m - 4 = 0 for m.
4
Let l(w) = 624*w**3 - 4*w**2 - 2*w + 1. Let i be l(-1). Let a = -599 - i. Solve -x - 27 = -a for x.
-1
Let h be 0/(-3 + 7)*1. Suppose h = -6*n - 2*n + 64. Solve 15*j - 7 - n = 0 for j.
1
Suppose -o = -6*c - 239, 15*o = 16*o + 3*c - 212. Solve -s = o - 218 for s.
-3
Let r = -12982 + 12997. Solve r + 35 = 25*x for x.
2
Suppose 0 = -4*k + 4*o + 324, -13*o - 326 = -4*k - 11*o. Solve -86*z + k*z = 0 for z.
0
Let b(p) = -4*p + 27. Let w(i) = 11*i - 80. Let k(g) = 17*b(g) + 6*w(g). Let u be k(-13). Suppose -u*y = 4*h - 3, -4*h = -3*h - 3*y - 5. Solve x = h - 4 for x.
-2
Let i(q) = 10*q**3 - 2*q**2 - 2*q - 1. Let m be i(-1). Let u = 19 + m. Let f be (-1)/4 - (-2)/u. Solve h + f - 3 = 0 for h.
3
Let q(a) = 146*a + 21. Let j be q(-2). Let p = j + 275. Suppose -3*l + 5*f - 25 = 0, -l - 4*f + 1 = -19. Solve 0 = 4*z - l*z + p for z.
-1
Let t be 2/4*(16 - 4). Suppose -t*o - 228 + 252 = 0. Solve o = -3*r + 5*r for r.
2
Suppose 2*w - 3 - 1 = 0. Suppose v = -3*q, w*q + 14 = -v + 6*q. Let r be 5/(30/(-8))*v/4. Solve 3*f = -r*f + 15 for f.
3
Let s(c) = -19*c**3 + 7*c**2 + 17*c + 25. Let n be s(-3). Solve 0 = 5*t - n + 535 for t.
3
Suppose 30 = 5*p + m, -50 = -4*p - 4*m - 10. Let a = -146 + 505. Let z = a - 350. Solve z = -p*i - 11 for i.
-4
Let t = -6 - -8. Let m be 20 - 24 - -26 - 21. Solve -t*w + 3*w = m for w.
1
Suppose 51 = -22*q + 139. Suppose 9*j - 2*g = q*j + 80, 3*j - 48 = 4*g. Solve j*h - 18 = 7*h for h.
2
Let s(y) = 2*y**3 - 28*y**2 + 11*y - 149. Let t be s(14). Solve 0 = -t*r - 7 - 18 for r.
-5
Suppose 4*p + 37 = 9. Let q be (-2)/p + 2 + (-444)/(-14). Let r = q + -33. Solve 2*k + r = 3 for k.
1
Suppose 168 = h + 163. Solve -3 = h*q - 13 for q.
2
Suppose -q = -4*n - 42, -9*q + 6*q + n = -38. Solve 51 = -q*k + 101 for k.
5
Suppose 10 = -j + 4*y - 7, 0 = 2*j - y - 1. Suppose j = -w - 40. Let t = w + 49. Solve 0 = -t*p + p + 15 for p.
3
Suppose 240 - 3858 = -24*w + 4782. Solve w*q + 5 = 349*q for q.
-5
Suppose 1321*n - 1309*n = 1896. Solve 149*k = n*k - 45 for k.
5
Suppose 0 = -6*y - 1305 + 1083. Let j(w) = w**3 + 8*w**2 + 6*w + 3. Let r be j(-6). Let h = r + y. Solve 3 = c - h for c.
5
Let i = -405 + 403. Let l be (0 + -4)/(-9 + i + 10). Solve l = -5*h + 4*h for h.
-4
Let d(x) = -115*x - 207. Let j be d(-2). Solve j*t - 16*t = -21 for t.
-3
Suppose -374 - 382 = 3*o. Let c = o - -303. Solve c = 10*t + 11 for t.
4
Let p = -11058 + 11058. Solve -22*f + 23 + 21 = p for f.
2
Let h(p) = p**2 + 15*p + 57. Let l be h(-7). Suppose 2*k - 6*k = 0. Suppose 2*f - 14*d + 16*d - 4 = 0, -4*f + 16 = -4*d. Solve k = 2*c - f + l for c.
1
Let w be 2*-3*326/6. Let v = 329 + w. Solve 2 - 17 = -v*z for z.
5
Suppose -10 = -5*q, -4*u + 246 = 70*q - 75*q. Solve u*y - 68 = 60 for y.
2
Let p be (1862/(-76) - -25)/(2/64). Let z(o) = o + 1. Let a be z(5). Solve 4 = -a*y + p for y.
2
Let j = -4766 - -4771. Solve 802 = -j*t + 767 for t.
-7
Suppose -20*d + 30 = -70. Suppose -r + k = 11 - 36, -r = -d*k - 33. Solve r*n = 26*n - 15 for n.
5
Suppose k - 24 + 0 = 3*x, 5*k + 5*x = 40. Solve k - 44 = 8*r for r.
-4
Suppose -9*h - 14 = 3*b - 4*h, 4*b = -h + 4. Solve b*i = 7 - 9 for i.
-1
Suppose -15 = -2*m + 5*n + 16, 21 = 3*m + n. Solve -3*l + m = -5*l for l.
-4
Let d = 11 - 8. Suppose 0 = 5*a - 7*a + 10. Suppose -3*w = 4*j - 25, -a*j - 4*w = -0*w - 30. Solve -d*g = -g + j for g.
-5
Suppose 0 = -5*b - 2 - 28. Let h = 8 + b. Solve -h*i - 5 = -3 for i.
-1
Suppose -30 = -5*s + t, -s - 2*t = -5*s + 18. Suppose -165 = -4*u - 5*m, -m = -1 - 0. Suppose s*a = -3*a + u. Solve -a*f = -f for f.
0
Let p(w) be the first derivative of -w**4/4 + 8*w**3/3 - 9*w**2/2 + 75*w - 26. Let x be p(8). Solve -m = x - 6 for m.
3
Suppose -30 = 12*c - 17*c. Let p(h) = 11*h - 59. Let l be p(c). Let n(a) = -2*a**2 + 14*a + 4. Let r be n(l). Solve i - r*i = -6 for i.
2
Let v(s) = 6*s + 87. Let w be v(-10). Suppose 5*u = -2*c - 6, 3*c - w + 15 = 3*u. Solve -8*r = -6*r - c for r.
1
Let x(c) = 6*c**2 - 66*c - 141. Let p(v) = v**2 - 13*v - 28. Let f(w) = 11*p(w) - 2*x(w). Let h be f(-4). Solve h - 12 = -5*m for m.
2
Let d be (-24)/10*10/(-4). Let r = 136 + -52. Suppose 13*h = -h + r. Solve -d*s - h = -4*s for s.
-3
Let w be 151532/3524 - 2*19. Let b(f) = -5*f**3 + 2*f**2 + 2*f + 1. Let i be b(-1). Solve w*q - i = -1 for q.
1
Suppose 50*m - 168 = -34*m. Solve 27*y - 87 = -m*y for y.
3
Let r = -11392 + 11504. Solve 49 = 9*j + r for j.
-7
Let t(n) = n**3 - 10*n**2 + 10*n - 16. Let g be t(9). Let c(b) = -4*b - 24. Let m be c(g). Suppose -2*d = -5*x - 0*d + 8, -m*d = 16. Solve r = -x - 1 for r.
-1
Suppose 3*b - 4*o - 188 = 0, 0 = -5*b + 4*b - o + 58. Suppose -6*v + b = -q - v, 0 = v - 1. Let y = 70 + q. Solve 0*l + y = 3*l for l.
5
Suppose 0 = 5*q + 6*a - 44, 383*q - 382*q - 2*a + 4 = 0. Solve -57*y = -56*y + q for y.
-4
Suppose -5*z + 15 = 0, 9*z - 5*z + 268 = 5*p. Solve -f + p - 61 = 0 for f.
-5
Let c be (350/(-280))/((-2)/(-8)). Let y be c/(20/(-28)) - -1*1. Solve q + 13 = y for q.
-5
Let u = -104 + 176. Let d(r) = r**2 - r - 38. Let q be d(-10). Let y = q - u. Solve f - 3 = -y*f for f.
3
Let q be -7 + 217/(-7) + -7. Let y be (-30)/q + (-5)/(45/(-12)). Solve t = y + 2 for t.
4
Suppose 5 = 3*u - 5*f, 3*u - 21 = 2*f - 5*f. Suppose 4*w - 26 = -0*w + u*c, -4*w - c = -38. Let q = 12 - w. Solve 3*y = 6*y - q for y.
1
Suppose -66 = -6065*k + 6064*k. Solve -96*g + 85*g + k = 0 for g.
6
Suppose 2*m - 31*m = 8*m - 1480. Solve 5*y + 20 = m for y.
4
Suppose -2*h - 3*m - 484 = 0, 4*h - 5*m + 1036 - 68 = 0. Let r = 68 - 44. Let t be h/(-12) + (-4)/r. Solve 0 = -3*y + 5 - t for y.
-5
Let i(f) = f - 2. Let o be i(5). Suppose -b - 4*r = -20, o*b + 2*b + r - 24 = 0. Let d = -84059 + 84066. Solve b*t + d = -5 for t.
-3
Let k be -114 + -1 - (26 + -27). Let f = -105 - k. Suppose t = -t + f*t. Solve t = 3*b + 14 - 2 for b.
-4
Let w = -2381 + 1608. Let j = w - -778. Solve 0 = x + j - 4 for x.
-1
Suppose 3*g - 5*i = -10, -4*g + 4 = -2*i - 6. Let d be g/((-5)/(-6)) - 0. Suppose 12*b + 106*b - 344 = -12*b + 306. Solve -3*f + b*f = d for f.
3
Let a(q) be the first derivative of q**3/3 - 4*q**2 + 5*q - 3. Let o be a(9). Suppose 2*f = -o + 18. Solve f*d - 4*d = 0 for d.
0
Let p(j) = -73*j + 28. Let y be p(3). Let t = y + 211. Solve -17*l + 3 = -t*l for l.
-1
Let q(m) be the first derivative of -2 - 15*m - 9*m**2 - 1/3*m**3. Let v be q(-17). Solve -2*r - v - 4 = 0 for r.
-3
Let q(c) = -466*c - 11929. Let t be q(-26). Solve -140*y - 376 = -t*y for y.
8
Let a(b) = -96*b + 687. Let c be a(7). Solve 0 = x + c - 9 for x.
-6
Let s be
|
{
"pile_set_name": "DM Mathematics"
}
|
g - 44 + 24 = 0. Suppose -g*r = -w - 17, r - 7 = w + 1. Solve 2 = -8*p + r*p for p.
2
Suppose 0 = -3*q + d + 15, -q + 0*d + 4*d + 16 = 0. Let y = -41 + 41. Solve y*g = q*g for g.
0
Let w be 624/(-36) - (-4)/(-6). Let b = -14 - w. Let k be 2*b/((-4)/(-2)). Solve 0 = -k*z + z for z.
0
Suppose -u + 8 = 3*u + 3*v, 2*u = 3*v + 22. Let h(f) = f**2 - f + 12. Let n be h(0). Solve -u*b + n = -b for b.
3
Let g(l) be the second derivative of -l**5/20 - 11*l**4/12 - l**3/6 + l**2/2 + l. Let w be g(-11). Let a be 25/(-15)*w/(-10). Solve a = -v + 3*v for v.
1
Suppose 12*a = 11*a + 3. Let r = -2 + 3. Solve a*j + r = -5 for j.
-2
Let p(w) = w + 1. Let n be p(2). Let u(q) = 60*q + 1921. Let y be u(-32). Suppose -f = -4*f. Solve f = -n*l + 14 + y for l.
5
Let v(f) = -34*f + 578. Let c be v(17). Solve 3*j + 9*j - 48 = c for j.
4
Let m be 3*(1*(-3)/3 - -2). Solve 3*c - 9 + m = 0 for c.
2
Suppose -4*a = 2*a - 126. Let r(x) = -x**3 + 5*x**2 - 4*x + 4. Let f be r(5). Let z = f + a. Solve -z*b = -b for b.
0
Let h(v) = 5*v - 8. Let p(o) = o - 1. Let u(f) = h(f) - 6*p(f). Let m be u(-2). Suppose -s - 2 = -5. Solve 5*c - s*c - 10 = m for c.
5
Suppose -h = -v - 596, -4*h - 3*v + 2391 = -7. Solve -593 = -r - h for r.
-5
Let l = 10 - 0. Let s = -136 + 129. Let m = l + s. Solve -2*g + 10 = m*g for g.
2
Let p be -2*(4 - 2) + 12. Suppose 0 = 3*g - l + 2, 2*g - g = 4*l - p. Solve g*k - 15 = -3*k for k.
5
Let n be (-1 - -8)*(-8)/(-28). Let z be (8/(-16))/(n/(-12)). Solve -r = z - 0 for r.
-3
Let j(w) = 3*w**2 + w + 1. Let g be j(-1). Suppose -y + 5 = -g*i, 3 = 3*y - 2*i + 9. Let s be (-2 - -1)/(y/12). Solve -v - s*v = 16 for v.
-4
Let a(w) = -4*w + 5. Let c be a(1). Let r be -6 - -10 - 4*c. Solve 4*q - 4 + 16 = r for q.
-3
Let t = 73 - 52. Solve -13*p - t = -6*p for p.
-3
Suppose -74*b + 29*b = -1125. Solve 0 = -9*h + 4*h + b for h.
5
Let i(h) = -4*h - 2 + 0 + 4*h - h. Let w be i(-7). Solve 4*r - w*r + 5 = 0 for r.
5
Suppose 0 = 2*v + 3*v. Suppose -4*r + 32 = 4*j + r, -j + 4*r = 13. Solve v*u = -u - j for u.
-3
Suppose 3*x = -6, k - 2*x - 11 = -7. Solve -35 = -k*z + 7*z for z.
-5
Suppose 2*o + 2*r = -0*o + 6, 4*r + 20 = 0. Suppose -7 = -15*f + o*f. Solve -5 - f = 3*d for d.
-2
Let p(a) = -4*a**2 + 7*a + 2*a**2 - 2 - 4 - 17*a. Let j be p(-4). Solve 5 = j*f + 3*f for f.
1
Suppose -209*m = -204*m - 20. Solve m*v - v = -12 for v.
-4
Let w be (-39)/(-2)*(12/9 + 0). Suppose 54 = 4*v + 2*m, -3*v + m + w = -12. Solve -v*x + 8*x = -10 for x.
2
Let i = -105 + 58. Let y = -36 - i. Solve y = -5*g + 31 for g.
4
Let j = -892 - -897. Solve j = -3*u - 2*u for u.
-1
Suppose 2*v - 12 = -2*v, 2*v = 4*n - 42. Solve -8*t + n*t = 20 for t.
5
Let b(w) = 5 + w - 4 + 2. Let m be b(-1). Solve 3*u = m*u for u.
0
Let h be (-60)/14 - 2/(-7). Let m = -11 - h. Let r(j) = j**2 + 7*j. Let i be r(m). Solve -3*g + 8*g - 20 = i for g.
4
Suppose -46*f + 76 = -16. Suppose 4*n - 24 = 2*n. Solve -m + n = f*m for m.
4
Suppose -4*c + 7 + 18 = u, u + 3*c - 20 = 0. Let o be (8/(-14))/((-10)/70). Suppose o*p - 40 = -p. Solve p*a = 3*a + u for a.
1
Suppose -12*q = 1062 - 3570. Solve -206 = -3*v - q for v.
-1
Let g = 31 - 19. Let w be (-2)/(-2 - (-16)/g). Suppose 3*u = 6*u - w. Solve 5*f + u - 21 = 0 for f.
4
Suppose -2*y = -4, w - 2*w = -y - 2. Suppose -5*i + 2 = -w*i. Suppose -8*r + 120 = -i*r. Solve 0 = a - 5*a + r for a.
5
Let m(r) be the second derivative of r**3 - 9*r**2/2 + 7*r. Let u be m(2). Solve u*p = 1 + 2 for p.
1
Suppose -x - k = -4*x + 21, -5*k - 15 = 0. Suppose 2*o - x = -0. Solve 3*t + o - 18 = 0 for t.
5
Let p = 38 - 30. Let y = 8 - p. Solve -w - 3*w = y for w.
0
Let n = 28 - 26. Suppose 0*f - x = 2*f - 8, 0 = n*f - 5*x - 20. Solve f*j - 7 = -2 for j.
1
Let f = -88 + 92. Solve f*n - 6 = -2 for n.
1
Let c(t) be the second derivative of t**3/6 - 2*t**2 - t. Let d = -76 + 81. Let i be c(d). Solve -3*h - i = -10 for h.
3
Suppose -3*i + 4*g + 55 = 0, 3*i + 4*g - 7 = 16. Solve 0 = 19*y - i*y - 18 for y.
3
Suppose -105*n + 109*n = 20. Solve -s + n*s = s for s.
0
Let b(g) = g**3 + 19*g**2 - 20*g - 6. Let k be b(-20). Let p be k/(-9) - 28/(-21). Suppose -5*v - p*r + 14 = 0, 2 - 4 = v - 2*r. Solve v*q + 2*q = 0 for q.
0
Suppose -5*w = 5*j - 35, 3*j = 4*w - 0*w - 14. Suppose 17 = 5*i + h, -j - 1 = h. Let q be 15/3 - (i + -1). Solve -q*n = 2*n for n.
0
Suppose 3*c - c + 3*m - 11 = 0, -m + 3 = 0. Let f be ((-5)/(60/(-8)) - c)*-9. Solve -f*p = 13 - 4 for p.
-3
Let z(b) = 21*b. Let c be z(1). Solve 6*m = -m + c for m.
3
Suppose 136*w - 171*w = -630. Solve 4*x + 10 = w for x.
2
Let f(r) = r**2 - 2*r + 3. Let k be f(2). Let n = -280 - -466. Let w = 186 - n. Solve w = -k*p - 3 - 6 for p.
-3
Suppose 3*m + 4*j - 22 = 0, 84*j - 28 = -4*m + 79*j. Solve 60 = m*y + 50 for y.
5
Let q be (-6)/(-8) - (-9)/(-12). Solve q*g - g = -3 for g.
3
Let z(v) = v - 14. Let r(l) = -l + 13. Let o(i) = 4*r(i) + 3*z(i). Let u be o(6). Suppose -2*w + 5*b + 3 = 0, -2*w + 5*b = u*b - 7. Solve w*s = -s - 25 for s.
-5
Suppose -s = w - 8, 87 = 4*s - 5*w + 28. Solve -s = -k - 14 for k.
-3
Let o(q) = -q - 6. Let k be o(-5). Let c = k - -9. Solve -3*d - c = 1 for d.
-3
Let t = -17 - -40. Solve -t = 5*y - 8 for y.
-3
Suppose -7*v + 36 = -v. Suppose -w - 10 = -v*w. Solve 0 = 4*o - w*o - 10 for o.
5
Suppose -5*m + 5 = -0*m - q, -4*m = q - 4. Let j be (-2)/(-13) + (-6)/39. Solve j = 2*l + 5 + m for l.
-3
Suppose -p - 31*p + 160 = 0. Let j be (4 - (-1 + 3)) + 18. Solve -p*m = -m + j for m.
-5
Let u be 6/(-16)*-2 + 115/92. Solve 0 = 5*g + 27 - u for g.
-5
Let o = 5 - 12. Let f(j) = -j**3 - 6*j**2 + 7*j. Let a be f(o). Suppose -4*c + 2*c + 12 = a. Solve -v - c = v for v.
-3
Suppose 29*j = 462 + 176. Solve -57 = -7*o - j for o.
5
Let u = 277 + -257. Solve 2*x = 22*x - u for x.
1
Let d(v) = v**2 - 4. Let u be d(-4). Let w = 6 - 3. Let s be u/w - -2*1. Solve -s*k = -3*k + 15 for k.
-5
Let v be (-19)/((-4 + 0 + 2)/8). Suppose -v*x + 6 = -74*x. Solve -8 = -5*f - x for f.
1
Let u(o) = o**3 - 6*o**2 - 7*o + 6. Suppose 1 = -x + 8. Let q be u(x). Solve q*i = i for i.
0
Let a be ((-75)/(-12))/(4/16). Suppose -30*q + 20 = -a*q. Solve -q*p - 13 + 5 = 0 for p.
-2
Let l = -1 + 6. Suppose 6*y = l*y + 2. Solve 2*w = -0 + y for w.
1
Suppose -35*n = -24*n - 407. Solve -n*p - 10 = -42*p for p.
2
Let n(x) = -x**3 - 6*x**2 - 6*x. Let f be n(-4). Let u be 2*((-4)/f + 0). Solve 2*g - u = 3 for g.
2
Suppose -43*y + 198 = -10*y. Solve -2 = -y*r - 14 for r.
-2
Let g(y) = -3*y + 5. Let p(d) = -1. Let t(n) = g(n) + 6*p(n). Let r be t(-8). Let c = r + -18. Solve 4 + 1 = -c*m for m.
-1
Suppose -3*r = 24 - 6. Suppose 20 = 5*m, -j + 28 = 8*m - 3*m. Let l = j + r. Solve l*k + 5 = -1 for k.
-3
Suppose -l = 3*t - 12, 32 - 23 = 5*t - 2*l. Solve -2*s = t + 7 for s.
-5
Suppose -671*r + 667*r = 8, 4*r = o - 14. Let m be (3 + 2)*(-4)/(-1). Solve m = -o*l + 2*l for l.
-5
Let z(l) = 9*l**2 + 3*l - 3. Let t be z(1). Solve 7*m + t = 4*m for m.
-3
Let d(g) = g**2 - g - 1. Let c(n) = -6*n**2 - 9*n + 21. Let w(j) = c(j) + 4*d(j). Let k be w(-7). Solve 0*z = -5*z + k for z.
2
Let q be (-4)/(8/(-3))*2436/126. Suppose 25 = 3*j + 2*j. Let g(f) = f**2 - 6*f + 4. Let y be g(6). Solve j*o = -q + y for o.
-5
Let p(a) = a**3 + 9*a**2 + 12*a - 10. Let x = -10 + 3. Let v be p(x). Solve u - 3*u = v for u.
-2
Let y = -6 - -12. Suppose -5*x + x = -z - 7, 5*x - y = 4*z. Let n be (132/(-55))/(x/(-5)). Solve -2*f + n = 4 for f.
1
Let o = 21 - 9. Solve 3*l - o = -21 for l.
-3
Let h be 4/(-2) - -2*1. Let x be 2 + -1 + 2 + -1. Solve h*c + x = -c for c.
-2
Let c(l) be the first derivative of l**3/3 + 4*l**2 + 17*l - 9. Let h be c(-6). Solve 6 = h*k - 4 for k.
2
Let y(t) be the first derivative of -t**4/4 + t**3 - 5*t**2/2 - t + 7. Let h be y(4). Let w = h + 38. Solve 4 = 3*m + w for m.
1
Suppose w = 3*l - 6, 5*w - 4*l - 35 = -10. Let y be 4/10 - (-34)/(-10). Let k = w + y. Solve -2*u + k = -0*u for u.
3
Let w be (0*(-3)/6)/(40 + -39). Solve w = 5*m - 130 + 130 for m.
0
Let h(t) = -2*t**2 + 13*t - 4. Let g be h(6). Suppose g*p - 13 + 5 = 0. Solve -p = -3*k + 8 for k.
4
Let q = -1028 + 1030. Solve q = -3*r - 10 for r.
-4
Let x(t) = 3*t**2 - 16*t - 88. Let w be x(9). Solve 13 = -w*i - 9 for i.
-2
Let m be (-3)/6*-1*6. Suppose -28 = -4*k + 4*n, -n - 1 - m = 0. Suppose 2*d + 5*j = 4 + 29, d - 29 = -5*j. Solve d = k*g - g for g.
2
|
{
"pile_set_name": "DM Mathematics"
}
|
ird biggest value? (a) -4 (b) 4 (c) 0.1 (d) 5.8 (e) 0.6 (f) 0.7
f
Which is the third biggest value? (a) -3 (b) -186747 (c) 2
b
What is the fourth smallest value in -0.46083, -5, 0.3, 0.4?
0.4
Which is the biggest value? (a) -14/3 (b) 420 (c) -17
b
What is the second biggest value in 3, 2/3, 0.01, -0.13?
2/3
What is the biggest value in 14, 0, -1.23, 3, -7?
14
Which is the smallest value? (a) -0.5 (b) -2/9 (c) 1 (d) -0.08 (e) 946 (f) -0.1
a
What is the fourth biggest value in 0.3, -0.3, -2580, -3?
-2580
Which is the second smallest value? (a) 4/317 (b) -0.4 (c) 29
a
Which is the smallest value? (a) 0.04 (b) -17/21 (c) 0
b
What is the biggest value in -15, -2, -17/8, 1?
1
Which is the fifth smallest value? (a) -1/5 (b) 6 (c) 2/7 (d) 0 (e) 2 (f) 1012
b
What is the third smallest value in 5, 2/7, -1/559, 0?
2/7
Which is the fourth biggest value? (a) 0.1 (b) -0.349 (c) 3/5 (d) 2
b
Which is the third smallest value? (a) 4 (b) -1/3 (c) 0.9 (d) 0.276
c
What is the fourth biggest value in 0.2, 1, -5/2, -6, 18?
-5/2
What is the biggest value in 6, -13.3, -0.3, -0.13?
6
Which is the third biggest value? (a) 1/10741 (b) 3 (c) -1/9 (d) -0.6
c
What is the second biggest value in 0.2, -2/7, -2, 51471, 1/4, 4?
4
What is the second smallest value in 2, 0.3, -3, 960, -1?
-1
Which is the second smallest value? (a) 1/6 (b) 3/4 (c) -1/5 (d) -1870 (e) 1 (f) -0.4
f
What is the biggest value in -4, 1/2482, -3, 0.06?
0.06
Which is the fifth smallest value? (a) 0.3 (b) -16 (c) 1 (d) 5 (e) 0
d
What is the second biggest value in 1295, -15, 2/7, 2?
2
What is the fourth smallest value in 0.5, -0.049, 0.3, 3/7, 3, -53?
3/7
Which is the smallest value? (a) -606 (b) -10/3 (c) 0 (d) -2/13
a
Which is the smallest value? (a) 1/3 (b) -101/3 (c) 4884
b
What is the sixth biggest value in 0.2, 2, -4/7, 2020, -6, 5?
-6
What is the third biggest value in -6, -0.2, 2333?
-6
What is the third biggest value in -0.21, 2, -340?
-340
Which is the biggest value? (a) 3/77 (b) 2 (c) -2/19 (d) -5
b
What is the third smallest value in -7/2, 1, -21/4?
1
Which is the second biggest value? (a) 4 (b) -2 (c) 91 (d) 10
d
What is the sixth biggest value in 0.4, 2, 6, -5, -3/7, -4/3?
-5
Which is the third biggest value? (a) -129 (b) -3/4 (c) 2/3 (d) 2 (e) 3/5
e
What is the third biggest value in -5/3, 1/251, 1?
-5/3
What is the third biggest value in 18, 1.3, 2/5, 0.3, 1/57?
2/5
Which is the second biggest value? (a) 2 (b) -0.69157 (c) -2/5
c
What is the fifth smallest value in 2/3, 1/3, 4/45, -3, 67/11?
67/11
Which is the smallest value? (a) 0.134 (b) 21 (c) 1/5 (d) -1/4 (e) 0.06
d
Which is the third smallest value? (a) -17 (b) 2 (c) 14 (d) -1 (e) -0.1
e
Which is the third smallest value? (a) -98 (b) 90 (c) 2/5
b
What is the third smallest value in -272, 0.1, -0.1, -1/9, 0.3, 0.2?
-0.1
What is the biggest value in -5, -10, 8/3?
8/3
What is the biggest value in 4, -27/5, 4/33, -0.5?
4
Which is the second smallest value? (a) -1/3 (b) 87/2 (c) -136 (d) -1/4 (e) -2/5
e
What is the smallest value in 2, -15, 23066?
-15
What is the second smallest value in -523, 1, -1.4, -1/8?
-1.4
What is the third biggest value in -1/2, 4687, -6?
-6
Which is the third biggest value? (a) 60 (b) 3/25 (c) 7/4
b
What is the fourth smallest value in 107, -1.12, -3, -2?
107
Which is the smallest value? (a) -24 (b) -0.1 (c) -11 (d) 146
a
What is the smallest value in -0.2, 5/4, -442/7?
-442/7
What is the second smallest value in 4717, 5, -0.5, 2/11?
2/11
What is the third biggest value in 5, 2/3, -0.06, -4/9, 0.21?
0.21
Which is the third smallest value? (a) -0.01 (b) -2 (c) 6 (d) 2/5 (e) 63
d
What is the third smallest value in -111, 2, 24?
24
Which is the fourth smallest value? (a) 1 (b) -2 (c) 11174 (d) 1/60
c
What is the second biggest value in 3291, -16, 2, 4, 3?
4
What is the second smallest value in -36.1, 19/9, 3, 5, 0, 0.5?
0
What is the third smallest value in -2, -2/3, -0.4, 3/8, 0?
-0.4
What is the fifth biggest value in -3, 1, 4, 82, -11/13?
-3
What is the third biggest value in -0.5, 3, 11/7, 11/15, -8, -0.4?
11/15
What is the fifth smallest value in 11.1, 5, -1.9, 0.2, 3, 2/3?
5
What is the third smallest value in -21, 2/391, 3/8?
3/8
What is the fourth biggest value in 3, -1/5, -17, 16, 28?
-1/5
Which is the biggest value? (a) -5/3 (b) 2/169 (c) 3 (d) 2/1391 (e) -0.3
c
What is the second smallest value in 3, -1/3, 5, 1, -0.06?
-0.06
Which is the biggest value? (a) 1/7 (b) 0 (c) 2 (d) -69 (e) 8
e
Which is the third smallest value? (a) -1/2 (b) -2 (c) -5 (d) 1339 (e) -1
e
Which is the biggest value? (a) -3/8 (b) 0.5 (c) 2 (d) -111 (e) -11
c
What is the sixth biggest value in 2, 34, -0.834, 11, 0, 1?
-0.834
Which is the biggest value? (a) -362 (b) 2/9 (c) 0.4 (d) -0.3 (e) -4 (f) -0.4
c
Which is the third biggest value? (a) 2/5 (b) 4 (c) -0.21 (d) 481 (e) -3
a
Which is the third biggest value? (a) 42 (b) 21 (c) -2
c
What is the fourth biggest value in 4, -3, -1, -1811?
-1811
Which is the second smallest value? (a) -1/9 (b) 35/12 (c) 4 (d) 7/6
d
Which is the second smallest value? (a) -39824/3 (b) 4 (c) 3 (d) 0.1
d
What is the third smallest value in -5, 0.149, -5/4, 4?
0.149
What is the second biggest value in 3592, -4/5, -1/5?
-1/5
Which is the fifth smallest value? (a) -5 (b) -4 (c) 148 (d) -4/7 (e) 0.4
c
What is the second smallest value in -1, 3, -2/9, -0.8?
-0.8
What is the second smallest value in -3, -328, 3?
-3
Which is the fifth biggest value? (a) 61 (b) 6 (c) -5 (d) -1 (e) 0.07
c
Which is the fourth biggest value? (a) -84 (b) 5 (c) 0 (d) 6 (e) -5/7 (f) 1/2
c
Which is the fourth smallest value? (a) 3 (b) -5 (c) -2/9 (d) 42
d
Which is the third smallest value? (a) 4 (b) -171 (c) 0.07
a
What is the smallest value in 2, 4, -163/5, 1?
-163/5
What is the biggest value in -47, -121, -0.1?
-0.1
Which is the third smallest value? (a) -0.2 (b) 2/5 (c) -5 (d) -18480
a
Which is the fourth smallest value? (a) -18 (b) -1 (c) 0.3 (d) 20.7
d
Which is the second biggest value? (a) 5/3 (b) 0.5 (c) -1471
b
What is the third smallest value in -1/8, 6, 0.03, -5?
0.03
Which is the biggest value? (a) -4 (b) -1 (c) -4795/6 (d) -2
b
Which is the biggest value? (a) -11 (b) -5/7 (c) -2/9 (d) -19 (e) -0.5
c
What is the fourth smallest value in 1/5, 2/9, 1011, -6/101?
1011
Which is the smallest value? (a) -2506 (b) -6 (c) -0.07
a
What is the smallest value in 22/67, 3/2, -2, 2/7, -3/4?
-2
What is the biggest value in -2/3, 41016, 0.3, -0.5?
41016
Which is the fifth biggest value? (a) 2/3 (b) 23 (c) -12/5 (d) 3/7 (e) -1
c
Which is the third smallest value? (a) 8 (b) -674 (c) 0.5
a
Which is the sixth biggest value? (a) 0 (b) -3 (c) -1/2 (d) 6/5 (e) -1 (f) -19/3
f
What is the third biggest value in -2/5, -3178, -1/4, -4/71, 5?
-1/4
What is the second biggest value in 13, 3, 0.1356?
3
Which is the third biggest value? (a) -11 (b) -0.1 (c) 4/13 (d) -0.07 (e) 1/3
d
Which is the third biggest value? (a) 1/4 (b) 19/9 (c) 0.3
a
Which is the third biggest value? (a) -2 (b) -3/49 (c) -1
a
Which is the smallest value? (a) 35 (b) -6170 (c) 3
b
What is the smallest value in -1094, -3/7, -5, 0, 60?
-1094
Which is the third biggest value? (a) -0.6 (b) 0.2 (c) -5 (d) -7015
c
What is the second biggest value in -370, 7, -2/9, -1/3?
-2/9
What is the smallest value in 3, -0.242, -0.33, -1?
-1
What is the smallest value in 1, -0.003, -2, 286?
-2
Which is the third biggest value? (a) 0.2 (b) -0.6 (c) 449/13
b
What is the biggest value in 69489, -3/7, -3/2?
69489
Which is the second biggest value? (a) -11 (b) -2/29 (c) -1/10 (d) -0.045
b
What is the second biggest value in -32, 4, -1/7, -31?
-1/7
Which is the third biggest value? (a) -0.4 (b) -1/4 (c) 3 (d) 1/6137
b
Which is the second biggest value? (a) 0.64 (b) -6 (c) -87
b
What is the third biggest value in -4, -12, -233, 4, -0.5?
-4
What is the second biggest value in 12904, -2, -1/6, 4/3?
4/3
What is the smallest value in 7807, 0, 2/7?
0
Which is the second biggest value? (a) 6.3 (b) 5 (c) -0.4 (d) 23
a
Which is the second biggest value? (a) -16 (b) 10/3
|
{
"pile_set_name": "DM Mathematics"
}
|
0.009
Suppose 4*s = -3*h + 1 - 9, -s - 25 = -5*h. Let p be ((-6)/h)/(2/(-9462908)). Let x = p - -15202819. What is x rounded to the nearest 1000000?
22000000
Let m = -86 - -169. Let l = 50.3 - m. What is l rounded to zero decimal places?
-33
Suppose 90*d - 120871 - 328679 = 0. Round d to the nearest one thousand.
5000
Let i = -445421.834 + 445858. Let w = i - 0.166. Let k = 439.89 - w. Round k to one dp.
3.9
Let q = 0.2423 + -0.2551. Round q to 3 dps.
-0.013
Let c(x) = 2787*x - 77. Let u be c(18). Let k = u - -83711. Round k to the nearest ten thousand.
130000
Let b = -0.158 + 14.964. What is b rounded to 0 decimal places?
15
Let q = 1134 - 675. Let s = -458.99997658 + q. Round s to 6 dps.
0.000023
Let p = -1227 + 1904. Let z = p + -1437. Let x = -760.000341 - z. What is x rounded to five decimal places?
-0.00034
Let z(h) = 118*h**3 + 20*h**2 + 16*h + 3. Let s be z(15). Let u = s + -584993. Round u to the nearest ten thousand.
-180000
Let y = -9516.995585 - -9517. What is y rounded to three decimal places?
0.004
Let q = 198 - 193. Suppose 0 = -u + f + 193105, -q*u - f + 579295 = -2*u. What is u rounded to the nearest 10000?
190000
Let i = -1267.9 + 1268.4169. Round i to two dps.
0.52
Let o = 4939 - 4938.994676. What is o rounded to four decimal places?
0.0053
Let n = -39.418978 - -10.417822. Let o = n - -29. What is o rounded to four decimal places?
-0.0012
Suppose 0 = -i - 2*b + 19, b - 4*b + 6 = 0. Suppose 4*k - k - 8 = -4*f, -5*k - 5*f = -i. Let s be (-18)/k*-56250*192. What is s rounded to the nearest 1000000?
49000000
Let s be (5/(-15))/((-1)/19127649). Let h = s - 3795883. Round h to the nearest 100000.
2600000
Let a = -7012.47749 - -7012. Round a to one dp.
-0.5
Let j = -3822456.99608 - -3822206. Let a = 251 + j. What is a rounded to 4 decimal places?
0.0039
Let c = 45 + -42. Suppose -11*p + 0*p = c*p. Suppose -25*t + 10*t - 421500 = p. Round t to the nearest 1000.
-28000
Suppose -2*y - 13 = -45. Let f be (y + -2)/((-4)/(-8)). Let c = 64 - f. Round c to the nearest ten.
40
Suppose 5*y + 12 = 42. Suppose -y*r + 1062831 = 42567. Suppose 6*x + 3956 = -r. Round x to the nearest ten thousand.
-30000
Suppose 899*r - 69454000 = 906*r. What is r rounded to the nearest 1000000?
-10000000
Let l = -4.4510567 - -277.4514917. Let d = l + -273. What is d rounded to 4 decimal places?
0.0004
Let g = 2038.49 + -2033.978325. Let z = -4.13167509 + g. Let q = 0.38 - z. What is q rounded to seven dps?
0.0000001
Suppose -9 = -4*i - 5*i. Let y(o) = 28*o + 1. Let n(x) = 56*x + 1. Let l(w) = 4*n(w) - 7*y(w). Let j be l(i). Round j to the nearest ten.
30
Let p = -38240877 - -38241031.7999323. Let u = 154.8 - p. Round u to 5 dps.
0.00007
Let d = -163.751 + 164. Let h = d - 0.2489552. Round h to 6 decimal places.
0.000045
Let t = 0.1317 - -106.9683. Let i = 107.1000909 - t. Round i to six dps.
0.000091
Let m = 0.794 + 403.206. Let y = -5729 - -6128.51. Let b = m - y. What is b rounded to one dp?
4.5
Let s = 0.2444022 - -0.4856143. Let b = 33.27 - 34. Let p = s + b. Round p to five decimal places.
0.00002
Let f = 10533 + -11505.9. What is f rounded to the nearest ten?
-970
Let d = 4.339 - 11.678. What is d rounded to one decimal place?
-7.3
Suppose -9454 = -g + 1206. Suppose -w = -14*w - g. What is w rounded to the nearest 10?
-820
Let z = 87 + -186. Let n = z - -99.00121. Round n to three dps.
0.001
Let t = -0.18371 - 28.19529. Let i = t + 0.679. Round i to the nearest integer.
-28
Suppose 22*w - 15*w - 42 = 0. Suppose -2*y + y + w = 0. Suppose -y*j + 0*j = -438000. What is j rounded to the nearest 10000?
70000
Let a = -7579 - -10834. Let n = 6745 + a. Suppose 0 = 51*y - 53*y - n. What is y rounded to the nearest one thousand?
-5000
Let x = 24336 - 24334.37832. What is x rounded to two dps?
1.62
Let b = -102458 + -263642. What is b rounded to the nearest 100000?
-400000
Let q = 38 + -37.9955. Let b = -4.8555 - q. Let y = -4.8851 - b. What is y rounded to three dps?
-0.025
Let l = -5247 + 5246.9997833. What is l rounded to five dps?
-0.00022
Let s = 5199.000004222 - 5199. What is s rounded to six decimal places?
0.000004
Let y be ((-18)/(-12))/((-3)/(-36)*1). Suppose -y*f = 13*f - 7610500. Round f to the nearest ten thousand.
250000
Let o = -305.2 + 305.20001431. Round o to six dps.
0.000014
Let v = -31.54328 - 440.47462. Let z = 234.0825 + v. Let w = 238 + z. What is w rounded to 2 dps?
0.06
Let g = -28.148 - -30.5. Let y = 0.048 + g. Let q = -2.40000043 + y. What is q rounded to 7 dps?
-0.0000004
Let t = 110.871966202 - -0.128087798. Let s = t - 111. What is s rounded to 5 dps?
0.00005
Let b = 6239.001901 + -6239. Round b to three dps.
0.002
Let w = 1296882 + -1298594.966. Let t = w - -1480.2. Let m = 232 + t. Round m to one decimal place.
-0.8
Suppose 51558 + 82062 = 30*y. What is y rounded to the nearest 100?
4500
Let u = -73.25 - -77.3684. What is u rounded to the nearest integer?
4
Suppose 18*z = 19*z. Suppose z = -2*i + 3*i - 1. Let k be i + ((-2)/(-1) - -1800000) + -3. What is k rounded to the nearest one million?
2000000
Let q(w) = w + 6. Let b be q(-3). Let d be (2/b)/((-12)/(-18))*3. Suppose 0 = 8*f - d*f - 76500. What is f rounded to the nearest one thousand?
15000
Let y = -3411.918 + 62.818. Round y to the nearest ten.
-3350
Let g = 622284.0250107 - 622284. Let f = -11 + 11.025. Let u = g - f. Round u to 6 decimal places.
0.000011
Let d(h) = -128 - 13*h**2 - 30*h + 40*h**2 + 7*h**2 + 8*h + 148. Let j be d(-22). Round j to the nearest 1000.
17000
Let t = -148 - -148.129. Let v = t + -0.138. What is v rounded to 2 decimal places?
-0.01
Let j = -17212143 + 35125169. Let u = 16847347 - -9165679. Let d = u - j. Round d to the nearest one million.
8000000
Let p = 0.0304 + -243.0304. Let d = -242.999384 - p. What is d rounded to five dps?
0.00062
Suppose -3*v + 3*y = 1902570012, 33*y - 2536760012 = 4*v + 30*y. Round v to the nearest 1000000.
-634000000
Let i = -70017476715.099999481 + 70017476675. Let k = 45.42 + -5.32. Let c = k + i. What is c rounded to seven decimal places?
0.0000005
Suppose -2*s + 2*o - 272774 = 0, -o - 182 + 189 = 0. What is s rounded to the nearest 10000?
-140000
Let d = 29.187543 + -107.187478. Let u = d - -78. Round u to four dps.
0.0001
Let a = 40 + -118. Let n = -319 - a. Let l = -255.7 - n. What is l rounded to 0 decimal places?
-15
Let w = -19.367 - -5564.967. Round w to the nearest 100.
5500
Let x = 81.3 - 150.54. What is x rounded to the nearest ten?
-70
Let b = -485.42 - -1.42. Let f = b + 489.68. Round f to the nearest integer.
6
Let g(q) = -155*q**3 - q**2 + 33*q + 104. Let x be g(-16). What is x rounded to the nearest one hundred thousand?
600000
Let x = -12.1 - -5.3. Let f = 22.2 - x. Let c = -28.9968 + f. Round c to three decimal places.
0.003
Let t(m) = 248061*m**2 - 3*m + 36. Let o be t(4). What is o rounded to the nearest 100000?
4000000
Let k = 6.28 + 260.72. Let m = -266.4 + k. What is m rounded to the nearest integer?
1
Let m(c) = -c**3 + 26*c**2 + 30*c - 81. Let f be m(27). Let i be 5*(f - (6 + -5)) - -914005. Round i to the nearest 100000.
900000
Let p = -2381 + 2377.1. Let r = -236 + 232.94. Let h = p - r. What is h rounded to one dp?
-0.8
Let a = -20.4 + 19.53. Let d = 0.95 + a. Let f = 0.08000122 - d. What is f rounded to seven dps?
0.0000012
Let o = 231 + -190. Let t = -40.999931 + o. Round t to 6 dps.
0.000069
Let n = 914 - 969.1. Let m = n - -36.4. What is m rounded to the nearest 10?
-20
Let z = -930 - -941.87. Let n = 11.86999413 - z. What is n rounded to six decimal places?
-0.000006
Let z = 28.43 - 28. Let q = -0.21 + z. Let j = -53.72 + q. Round j to the nearest integer.
-54
Let i = -1543.337 - -1544. Let t = -0.687 + i. Round t to one decimal place.
0
Let f(q) = -q**2 - 10*q + 9. Let c be f(-9). Let z be 25 - (-4 - (-6 - 1)). Suppose -z*u = -c*u + 920. What is u rounded to the nearest 10?
-230
Let v be 0 - -11 - (-1 - 3). Let n be (-5)/(v/(-20808498)) + 1. Let j = 3836167 - n. Round j to the nearest one million.
-3000000
Let i = 865.833 - 5.233. Round i to the nearest 10.
860
Let y = 75422.650112 - 75487.65. Let k = -53.2 - 11.8. Let p = k - y. What is p rounded to 5 dps?
-0.00011
Let c = 1.4529 - 1.4500157. Round c to five dps.
0.00288
Let b = -48824.071622 - -48824. What is b rounded to 4 decima
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 - 4*h wrt h?
-24*h**2
Let u(j) be the first derivative of j**8/84 + j**4/24 + 22*j**3/3 + 13. Let q(m) be the third derivative of u(m). Differentiate q(s) with respect to s.
80*s**3
Suppose k - 28 = -6*k. What is the derivative of -6 - 5 - 7*b**k + 2 + 3 wrt b?
-28*b**3
What is the second derivative of 22*d**2 + 8*d - 4*d + 94*d**2 - 15*d**2 - 5*d - 12 wrt d?
202
Suppose -5*b + 2*b = -69. What is the derivative of -58 - 14*n + 22 + b wrt n?
-14
Let g(k) be the third derivative of -7*k**4/4 - 88*k**3/3 + 17*k**2 - 2*k. What is the first derivative of g(b) wrt b?
-42
Let o(n) be the first derivative of -6*n**7/7 - n**6/2 - 149*n**3/3 + 118. What is the third derivative of o(h) wrt h?
-720*h**3 - 180*h**2
Suppose -3*u - 2*u = -15. Suppose -u*x + 4*f + 18 = 2*f, -24 = -4*x - f. What is the derivative of p**4 + 11 - p**4 - 2 + x*p**4 wrt p?
24*p**3
Let b(s) = s**2 + 16*s + 15. Let f be b(-9). Let p be ((-16)/f)/((-2)/(-12)). What is the first derivative of -6 - p - 3 + 9*n wrt n?
9
Let d(p) be the first derivative of p**5/5 - 26*p**4 - 389*p**2/2 + 100. Find the second derivative of d(j) wrt j.
12*j**2 - 624*j
Let v(q) = 13*q**2 - 38. Let s(x) = -4*x**2 + 13. Let z = 4 - 1. Suppose -4*p + 8*p - 32 = 0. Let r(f) = p*s(f) + z*v(f). Differentiate r(a) wrt a.
14*a
Let a(t) be the first derivative of 2*t**3/3 - 5*t**2/2 - 55*t + 29. Differentiate a(j) wrt j.
4*j - 5
Differentiate 20*a**3 + 7 - 5*a**3 + 93 + 48*a**3 + 2*a wrt a.
189*a**2 + 2
Find the third derivative of -3*j + 2*j + 80*j**2 - 21*j**5 + 57*j**5 + 3*j + 111*j**5 + 3*j**6 wrt j.
360*j**3 + 8820*j**2
Suppose -2*a - 5*f - 8 = 0, a + 3*f = -11 + 6. Let d(i) = 3*i - 37. Let g(l) = 1. Let n(u) = a*d(u) + 5*g(u). What is the derivative of n(s) wrt s?
3
Let h(p) be the first derivative of 4*p**6/3 - 17*p**2 + 30. Find the second derivative of h(n) wrt n.
160*n**3
What is the third derivative of 53330*v - 98*v**2 - 53330*v + 22*v**5 + 2*v**3 wrt v?
1320*v**2 + 12
Let t(r) be the second derivative of -73*r**5/20 + 3*r**4/2 - 25*r. What is the third derivative of t(w) wrt w?
-438
Let k(y) be the second derivative of 0*y**2 + 0*y**5 + 33*y + 0 + 0*y**3 + 1/4*y**4 + 4/15*y**6. Find the third derivative of k(x) wrt x.
192*x
What is the third derivative of 2*d**3 + 37*d**5 - 2*d**3 - 1013*d**2 + 38*d**5 + 959*d**2 wrt d?
4500*d**2
What is the third derivative of 7*x**5 + 67*x**2 + 2*x**6 - 9*x + 0*x**5 - 3*x**6 - 65*x**2 wrt x?
-120*x**3 + 420*x**2
Let m(z) be the first derivative of 0*z + 0*z**2 - 23/2*z**4 - 5/3*z**3 + 12. What is the third derivative of m(t) wrt t?
-276
Let u(x) be the third derivative of 63*x**4/4 + 601*x**3/6 + 607*x**2. Differentiate u(h) with respect to h.
378
Let i(a) = 45*a**2 + 36. Let d(u) = -u**2 + 1. Let m(g) = -3*d(g) + i(g). Find the first derivative of m(v) wrt v.
96*v
Let a(j) = -10*j - 1. Let w(p) = 19*p + 2. Let u(y) = -5*a(y) - 3*w(y). Let v be u(-1). What is the second derivative of -25 + 2*s - 4*s**4 + v*s**4 + 25 wrt s?
24*s**2
Differentiate -81*k**2 - 12*k**2 + 1 - 6 - 11*k**2 wrt k.
-208*k
Let z(u) be the third derivative of 181*u**6/120 - u**5/10 + u**3/6 - 69*u**2 - 3*u. What is the third derivative of z(i) wrt i?
1086
What is the third derivative of -143*c - 2*c**2 + 73*c + 5*c**3 + 28*c wrt c?
30
Let n(i) be the third derivative of -i**9/504 - i**7/105 - 103*i**5/30 + 203*i**2. What is the third derivative of n(f) wrt f?
-120*f**3 - 48*f
Let n(z) be the third derivative of 0 + 15*z**2 + 0*z + 7/6*z**3 + 1/2*z**4. Find the first derivative of n(k) wrt k.
12
Let l(d) = d**3 - 3*d**2 - 3*d. Let w be l(4). Suppose -6*p + 3*p = -12. What is the first derivative of -2*m**4 + 4 + 0*m**w - 2*m**p wrt m?
-16*m**3
Find the second derivative of 2*y**3 - 82*y**3 + 328*y**3 + 381*y wrt y.
1488*y
Let r(a) = -290*a**2 + 33*a + 2. Let v(f) = 580*f**2 - 61*f - 4. Let i(w) = -9*r(w) - 4*v(w). What is the second derivative of i(c) wrt c?
580
Suppose -7*f + 10*f - 42 = 0. What is the third derivative of 9*l**3 - 23*l**3 + 26*l**4 + 6*l**2 + f*l**3 wrt l?
624*l
What is the second derivative of -2*i - 57 + 15*i**3 + 50 + 35*i**3 wrt i?
300*i
What is the third derivative of 8*f**5 + 2*f**4 + 31*f**2 + 3*f**5 + 0*f**5 + 5*f**5 wrt f?
960*f**2 + 48*f
Suppose 0 = 4*s - 10 - 2. Find the second derivative of 0*h + 11 + 7*h + 9*h**s - 11 wrt h.
54*h
Let n(a) be the third derivative of 13*a**6/240 - 3*a**5/40 + 4*a**4/3 + 26*a**2. Let l(k) be the second derivative of n(k). Differentiate l(m) wrt m.
39
What is the first derivative of -8 + 3*k**3 - 9 + 0 + 40*k**3 wrt k?
129*k**2
Suppose -4*p = 8, 4 = -k - 5*p - 4. Find the third derivative of -2*z**3 - 16*z**k + 40*z**2 + 28*z**3 wrt z.
156
Let x(i) be the second derivative of 157*i**6/30 + 17*i**3/3 + i**2 - 193*i. Find the second derivative of x(y) wrt y.
1884*y**2
Suppose -14 = v - 18. Suppose 2*u = 2 + 6. Find the second derivative of v*z - 3*z**u - 6*z + 9*z - z**4 wrt z.
-48*z**2
Let f(h) be the third derivative of -175*h**4/12 + 37*h**3/6 + 924*h**2. Find the first derivative of f(c) wrt c.
-350
Find the third derivative of y + 26*y**3 - 26*y**3 + 15*y**2 + 68*y**2 - 450*y**6 - 13*y**2 wrt y.
-54000*y**3
Let a(x) be the first derivative of -6*x + 0*x**2 - 3 + 1/3*x**3. What is the derivative of a(z) wrt z?
2*z
Find the third derivative of -407*b**2 - 868*b**6 - 86*b**6 - 244*b**2 wrt b.
-114480*b**3
Let c(q) be the second derivative of 4*q**6/5 - 17*q**2 - 5*q + 8. What is the derivative of c(h) wrt h?
96*h**3
Find the third derivative of -339*y**4 - 12*y**4 - 67*y**2 - 49*y**4 - 420*y**4 + 137*y**4 wrt y.
-16392*y
What is the third derivative of 228*t**3 + 709*t**3 - 3*t + 77*t**2 - 545*t**3 + 2*t wrt t?
2352
Let w(l) = -21*l - 11. Let k = -13 + 19. Let v(h) = 5*h + 3 - 8 - 15*h. Let s(r) = k*w(r) - 13*v(r). What is the first derivative of s(y) wrt y?
4
Let v = -13 + 5. Let n = 12 + v. What is the second derivative of 9*j**3 - 4*j + 12*j - n*j - 5*j wrt j?
54*j
Let d(k) = -20*k - 13. Let i(t) = 41*t + 27. Suppose -3*o = 3*z + 7 - 37, 2*o = -3*z + 23. Let x(s) = o*d(s) + 3*i(s). What is the derivative of x(m) wrt m?
-17
Let g(o) be the third derivative of 5/6*o**3 - 2*o**2 - 1/15*o**5 - 10 - 7/120*o**6 + 0*o**4 + 0*o. Find the third derivative of g(r) wrt r.
-42
Let k(f) be the second derivative of 173*f**5/5 + 129*f**2/2 + 876*f. Find the first derivative of k(a) wrt a.
2076*a**2
Let s = -284 + 284. Let f(n) be the second derivative of s*n**5 - 3*n - 1/15*n**6 + 2/3*n**3 + 0*n**4 + 0*n**2 + 0. Find the second derivative of f(u) wrt u.
-24*u**2
Let g(c) be the first derivative of -199*c**7/7 + 733*c**3/3 - 551. Find the third derivative of g(p) wrt p.
-23880*p**3
Suppose -2*r + 127 = 119. Let j(f) be the first derivative of 0*f**2 - 5 + 0*f**3 + 5/2*f**r - 2*f. Differentiate j(w) with respect to w.
30*w**2
Let x(v) = -10*v**2 - 12*v - 146. Let j(g) = 17*g**2 + 23*g + 291. Let z(i) = 3*j(i) + 5*x(i). What is the derivative of z(o) wrt o?
2*o + 9
What is the third derivative of -48*p**6 + 132*p**2 - 73*p**2 + 7*p**4 - 7*p**4 wrt p?
-5760*p**3
Let b(a) be the second derivative of -a**8/1680 - 3*a**5/20 + 4*a**3 - 8*a. Let c(u) be the second derivative of b(u). Find the second derivative of c(v) wrt v.
-12*v**2
Let k(y) = 25*y**2 + 4*y - 3. Let n(d) = -d**2 - 8*d - 11. Let i be n(-7). Let g(m) = m**2 + m - 1. Let s(r) = i*g(r) + k(r). Differentiate s(a) wrt a.
42*a
Let n(c) = 3*c**2 + 1. Let m be n(-1). What is the second derivative of b + m*b**4 + 0*b**4 + 7*b wrt b?
48*b**2
What is the first derivative of 0*c + 359*c**4 + 0*c - 461*c**4 + 80 wrt c?
-408*c**3
Let g(w) = -106*w - 470. Let q(u) = -219*u - 940. Let t(p) = -5*g(p) + 3*q(p). What is the first derivative of t(y) wrt y?
-127
Let q(h) = -2*h + 6*h**4 + 5*h - 3*h**3 - 3 + 0*h - 3*h**2. Let i(o) = -o**4 + o**3 - o + 1. Let j(t) = 3*i(t) + q(t). Find the third derivative of j(n) wrt n.
72*n
Let u(c) be the third derivative of 0 + 0*c**3 + 1/20*c**6 - 1/24*c**4 + 0*c**5 + 0*c + 2*c**2. What is the second derivative of u(m) wrt m?
36*m
Let r(m) = -27*m**2 - 7*m - 22. Let t(p) = -13*p**2 - 3*p - 11. Suppose 4*v - 17 - 11 = 0. Let c(g) = v*t(g) - 3*r(g). Differentiate c(x) with respect to x.
-20*x
Let s(y) be the second derivative of 0 + 17*y**2 - 31/6*y**3 - 21*y. Different
|
{
"pile_set_name": "DM Mathematics"
}
|
1858. Determine i(-77).
-67
Let j(k) = k**3 - 38*k**2 + 193*k + 3. What is j(6)?
9
Let f(l) = -31*l**2 + 39*l + 143. What is f(-4)?
-509
Let s(k) = k**3 - 3*k**2 + 32*k - 8. What is s(5)?
202
Let z(x) = 483*x - 10647. Give z(22).
-21
Let d(q) = -q**3 - 27*q**2 + 53*q - 130. Give d(-29).
15
Let f(b) = b**3 + 64*b**2 - 273*b - 63. What is f(-68)?
5
Let n(i) = 18*i**3 + 5*i**2 + 12*i + 8. Give n(-2).
-140
Let v(t) = -5*t**3 - 517*t**2 - 210*t - 400. Calculate v(-103).
12
Let a(f) = f**3 + 30*f**2 + 49*f - 228. What is a(-28)?
-32
Let a(x) = -x**3 - 2*x**2 + 9*x - 4. Determine a(2).
-2
Let j(l) = 119*l + 14. Give j(2).
252
Let n(u) = 269*u + 1297. Give n(-5).
-48
Let x(m) = -93*m + 2503. Give x(27).
-8
Let o(c) = 455*c + 23201. Determine o(-51).
-4
Let q(h) = 56*h + 1450. Calculate q(-26).
-6
Let c(r) = 9*r**2 - 91*r - 12. Calculate c(10).
-22
Let c(k) = 2*k**3 - 30*k**2 + 69*k + 40. Determine c(12).
4
Let b(s) = 32*s - 57. What is b(3)?
39
Let k(l) = -2022*l - 2030. What is k(-1)?
-8
Let k(b) = b**2 + 50*b - 766. Determine k(-57).
-367
Let o(g) = 7661*g + 38300. Give o(-5).
-5
Let c(y) = -y**2 - 55*y - 480. Give c(-11).
4
Let g(j) = 2*j**3 + 4*j**2 + 7*j - 46. Calculate g(0).
-46
Let i(t) = t**3 - 109*t**2 - 98*t - 1382. Determine i(110).
-62
Let d(a) = 2*a**2 + 544*a - 1. Determine d(0).
-1
Let l(k) = k**3 + 15*k**2 + 16*k + 29. Give l(-14).
1
Let i(a) = 134*a + 176. Calculate i(-1).
42
Let h(v) = 8*v - 54. Determine h(11).
34
Let d(n) = n**2 - 467*n + 4128. Give d(9).
6
Let d(t) = -2*t**2 + 2190. Determine d(33).
12
Let w(t) = t**2 + 52*t + 338. Determine w(-17).
-257
Let k(z) = 1020*z - 6119. Determine k(6).
1
Let d(h) = -h**3 + 4*h**2 - 50*h + 141. Determine d(3).
0
Let c(t) = -2*t**3 + 10*t**2 - 11*t - 16. Determine c(0).
-16
Let k(l) = -2*l**2 - 23*l - 88. Determine k(-7).
-25
Let t(c) = 2*c**3 + 41*c**2 + 24*c - 54. Determine t(-20).
-134
Let n(c) = -5*c**2 - 44*c - 18. Calculate n(-9).
-27
Let c(p) = -107*p - 8559. Determine c(-80).
1
Let i(t) = t**2 - 9*t + 37. What is i(5)?
17
Let r(t) = -36413*t - 145658. Determine r(-4).
-6
Let o(i) = 1502*i - 3007. Determine o(2).
-3
Let a(g) = g**3 - 26*g**2 + 19*g + 154. Determine a(25).
4
Let g(t) = t**3 + 18*t**2 + 75*t - 15. Determine g(-12).
-51
Let n(q) = -35*q + 31. Calculate n(-4).
171
Let t(d) = d**3 - 31*d**2 + 95*d - 302. Calculate t(28).
6
Let d(w) = 38*w - 475. Give d(12).
-19
Let h(g) = 4*g**2 + 399*g + 653. What is h(-98)?
-33
Let n(p) = 2*p**3 + 2*p**2 - 3*p + 2. What is n(4)?
150
Let o(i) = -i**2 - 116*i + 8055. Determine o(-165).
-30
Let x(p) = p**3 + 21*p**2 + 36*p - 9. What is x(-15)?
801
Let u(p) = 9*p + 173. Calculate u(-18).
11
Let o(y) = -3*y**2 + 51*y - 32. Calculate o(17).
-32
Let l(u) = u**3 - 137*u**2 + 120*u + 2182. Calculate l(136).
6
Let d(u) = -3*u**2 - 2*u + 1289. Determine d(-21).
8
Let v(p) = p**2 + 18*p - 591. Calculate v(-35).
4
Let r(v) = 11*v**2 + 211*v - 417. Determine r(-21).
3
Let u(k) = -15*k**2 - 55*k - 54. Give u(-2).
-4
Let b(p) = -57*p - 4910. What is b(-86)?
-8
Let l(w) = -33*w**2 + 1490*w - 244. Calculate l(45).
-19
Let v(t) = -34*t**3 + 2*t**2 + 3*t + 1. What is v(-1)?
34
Let l(j) = 3*j**2 + 6*j - 347. What is l(-16)?
325
Let d(g) = 91*g**2 + 1183*g + 2. Determine d(-13).
2
Let w(k) = 129*k + 7985. Give w(-62).
-13
Let z(a) = -a**2 + 93*a + 31506. Give z(230).
-4
Let w(l) = 20*l**3 + 33*l**2 - 18*l + 3. What is w(-2)?
11
Let l(x) = -x**3 + 9*x**2 + 401*x - 1686. Give l(4).
-2
Let w(k) = 10*k**2 - 8*k - 47. Determine w(-5).
243
Let t(i) = -i**3 - 89*i**2 + 83*i - 636. Determine t(-90).
-6
Let t(i) = 13*i**2 - 138*i - 5. Give t(8).
-277
Let h(i) = 3*i**3 + 122*i**2 - 49*i - 296. What is h(-41)?
32
Let r(j) = 7*j - 29. What is r(5)?
6
Let s(f) = -f**3 + 81*f - 158. What is s(2)?
-4
Let q(p) = -p**3 - 41*p**2 - 139*p + 339. Calculate q(-37).
6
Let g(v) = -7*v - 299. Calculate g(-34).
-61
Let l(w) = 3*w**3 + 26*w**2 + 14*w + 60. Calculate l(-8).
76
Let u(l) = l**3 + 23*l**2 - 168*l + 70. Give u(-29).
-104
Let s(g) = -224*g + 20158. What is s(90)?
-2
Let w(j) = 303*j - 3649. Calculate w(12).
-13
Let h(j) = -258*j + 3613. What is h(14)?
1
Let a(x) = -13*x - 11. Determine a(-1).
2
Let p(f) = 9*f**3 + f**2 + 5*f - 14. Give p(2).
72
Let s(y) = 285*y**2 + 6*y + 13. Calculate s(-1).
292
Let n(l) = l**3 + 20*l**2 + 79*l - 141. Give n(-13).
15
Let v(b) = -43*b - 432. What is v(-11)?
41
Let h(w) = w**2 - 65*w - 660. Determine h(74).
6
Let x(q) = 80*q - 662. Give x(8).
-22
Let z(c) = -92*c - 13790. Calculate z(-150).
10
Let g(x) = 11*x**3 - 5*x**2 + 3*x - 3. What is g(3)?
258
Let u(o) = o**3 + 13*o**2 + 139*o + 1320. Determine u(-11).
33
Let i(p) = 2*p**3 + 30*p**2 - 2*p + 4. Calculate i(-15).
34
Let c(v) = 12*v + 142. What is c(-11)?
10
Let w(b) = 651*b + 9767. Give w(-15).
2
Let j(a) = 30*a - 730. Calculate j(24).
-10
Let z(i) = i**3 - 5*i**2 + 10*i - 109. Determine z(6).
-13
Let b(g) = g**2 + 16*g - 10. Calculate b(-5).
-65
Let m(n) = 22*n**2 + 3431*n - 170. Calculate m(-156).
-14
Let p(z) = 10*z**2 - 239*z + 32. Give p(24).
56
Let v(q) = -q**2 + 51*q - 290. What is v(6)?
-20
Let o(n) = -3097*n + 30974. Give o(10).
4
Let g(z) = -38*z - 1030. What is g(-23)?
-156
Let q(a) = -3*a**2 + 9*a - 19. Determine q(3).
-19
Let j(n) = n**2 + 154*n - 26840. What is j(-258)?
-8
Let x(l) = -l**3 - 11*l**2 - 7*l - 127. Calculate x(-9).
-226
Let w(x) = -x**3 + x**2 + 9*x - 53. Calculate w(0).
-53
Let y(p) = -266*p - 1. Calculate y(0).
-1
Let w(j) = -j**3 + 73*j**2 - 74*j + 147. Determine w(72).
3
Let d(x) = -8*x**3 + 2*x**2 + 10*x + 15. Calculate d(-3).
219
Let n(p) = -9*p - 98. Determine n(-37).
235
Let g(m) = 2*m**3 + 195*m**2 + 103*m + 575. Determine g(-97).
-7
Let b(j) = -j**3 + 20*j**2 - 76*j - 4. Determine b(7).
101
Let w(d) = -d**2 - 50*d - 414. What is w(-38)?
42
Let g(s) = 12*s + 154. Calculate g(-31).
-218
Let d(b) = -3723*b**2 + 26060*b + 4. Calculate d(7).
-3
Let m(c) = -133*c + 8510. What is m(64)?
-2
Let l(g) = 2*g - 122. Give l(-8).
-138
Let l(h) = -h**2 + 13*h + 2. Calculate l(13).
2
Let v(o) = -325*o - 23100. Calculate v(-71).
-25
Let p(b) = b**3 - 19*b**2 + 17*b + 278. Calculate p(17).
-11
Let k(h) = h**3 + 9*h**2 - 14*h + 11. What is k(-12)?
-253
Let m(d) = 11*d**2 + 16*d - 10. Determine m(-2).
2
Let p(u) = 4*u**3 + 530*u**2 + 266*u + 252. What is p(-132)?
-12
Let k(u) = -u**3 + 36*u**2 - 49*u + 536. Give k(35).
46
Let v(f) = 18*f**2 - 34*f + 8. Calculate v(3).
68
Let v(g) = -g - 43. Determine v(-18).
-25
Let j(d) = -d**3 - 31*d**2 - 3*d - 26. What is j(-31)?
67
Let c(s) = -s**3 - 19*s**2 - 24*s + 34. What is c(-17)?
-136
Let p(f) = 4*f**2 + 163*f + 1632. Calculate p(-18).
-6
Let o(u) = 54*u + 313. What is o(-6)?
-11
Let w(j) = j**3 + 22*j**2 - 34*j + 50. Calculate w(-24).
-286
Let y(t) = -23*t - 928. What is y(-40)?
-8
Let u(s) = s**2 - 11*s - 8. Give u(11).
-8
Let d(x) = 14*x**2 - 312*x - 36. Determine d(21).
-414
Let j(y) = -255*y - 20655. Calculate j(-81).
0
Let x(j) = j**3 + 104*j**2 - 211*j + 109. Calculate x(-106).
3
Let x(c) = 17*c + 22. Give x(-4).
-46
Let g(v) = -87*v**2 + 2090*v - 55. What is g(24)?
-7
Let h(g) = -120*g + 2024. Determine h(17).
-16
Let v(r) = 3*r**3 + 29*r**2 - 44*r + 46. Give v(-11).
46
Let v(j) = -j**2 - 35*j + 12. What is v(5)?
-188
Let t(d) = 116*d - 6733. Determine t(58).
-5
Let j(i) = -3*i**2 - 27*i - 36. Determine j(0).
-36
Let v(z) = -z**3 + 12*z**2 - 5*z + 64. Give v(12).
4
Let i(g) = 454*g - 13615. Calculate i(30).
5
Let y(r) = -108*r - 1660. Calculate y(-16).
68
Let u(b) = 117*b - 542. Determine u(5).
43
Let o(w) = -w**3 - 134*w**2 + 527*w - 3454. Calculate o(-138).
-4
Let t(l) = l**3 - 15*l**2 + 28*l + 7. Determine t(13).
33
Let x(b) = -55*b - 721. Give x(-9).
-226
Let t(x) = -104*x - 650. Determine t(-6).
-26
Let d(w) = -w**3 - 22*w**2 - 31*w - 4. Give d(-22).
678
Let f(t) = -75*t**3 + 10*t**2 - 14*t + 5. Determine f(1).
-74
Let u(x) = 6*x**3 - 10*x**2 + 45*x - 221. Determine u(6).
985
Let m(l) = l**3 - 17*l**2 - 44*l + 74. What is m(19)?
-40
Let o(w) = w**2 + 29*w + 143. Calculate o(-6).
5
Let w(j) = -2*j**3 - 2*j**2 - 16*j + 119. Give w(5).
-261
Let z(h) = 3*h**2 + 42*h + 157. Give z(-4).
37
Let b(x) = -2*x**3 - 22*x**2 + 14*x + 341. What is b(-10)?
1
Let v(s) = -2*s**3 - 14*s**2 - 5*s - 10. Determine v(-7).
25
L
|
{
"pile_set_name": "DM Mathematics"
}
|
= 78/5 + h. Let i = 1.766 - 0.766. What is the nearest to i in 0.3, 4, m?
0.3
Let f = -2010 - -2012. Which is the closest to -3/5? (a) -5/3 (b) -0.4 (c) f
b
Suppose 3*k + 4*o + 19 = 2*o, 3 = k - 4*o. Let y = -1 - -1. Let w = -323 - -968/3. Which is the closest to w? (a) y (b) -3 (c) k
a
Let m be (-4)/7*(-1)/2. Let r = -147 + 143. Let y be (2/10)/((-30)/(-50)). Which is the closest to m? (a) r (b) -1/2 (c) y
c
Let t = 4.1 + -6. Let x = 1.4 + t. Which is the closest to -1? (a) -1 (b) -2 (c) x
a
Let u = 4.0175 - 0.0175. What is the closest to -0.1 in u, -1/3, 0?
0
Suppose 5*g - 5*p = -8*p - 6, g = -p. Let o = 9.2 + -9. Which is the nearest to -0.3? (a) 2/11 (b) g (c) o
a
Let s be ((-141)/(-45) + -3)/((-12)/(-54)). What is the closest to -1 in 4/3, 1, s?
s
Let m = 1.2 + -2.2. Let i(f) = f**3 - 3*f**2 - 4*f + 3. Let z be i(2). Let v be (z/(-21))/((-2)/(-14)). Which is the nearest to m? (a) v (b) 1/2 (c) -0.2
c
Let j = -5.1008 - -0.1008. What is the closest to 0.1 in -229, j, -3?
-3
Let s = 4 - 17/5. Let q = 0.06 + -1.06. Let u = 0.4 + -0.7. Which is the closest to q? (a) u (b) 3/7 (c) s
a
Let l(i) = i**3 - 5*i**2 - 5*i + 6. Let v be l(6). Suppose 4*x + 5*z = 13, -5*x - 5*z + 3*z + v = 0. Which is the nearest to -0.1? (a) -0.5 (b) -1 (c) x
a
Let r = -0.0612 + 0.5612. Which is the nearest to -0.3? (a) r (b) -0.4 (c) -9/5
b
Let r = -97 + 96.8. What is the nearest to 12/13 in r, 3, 0.2?
0.2
Let x = 619 - 620. Which is the nearest to x? (a) 0.9 (b) 0 (c) -1/6
c
Let y = -650 + 651. Which is the closest to 6? (a) -3/19 (b) -2/9 (c) y (d) 0.2
c
Let k = -28.5 - -24. Let f = 5 + k. What is the nearest to 0 in f, -0.2, 4?
-0.2
Let n = 497 - 496. Let y(j) = -j - 10. Let f be y(-7). Which is the nearest to n? (a) 0.3 (b) f (c) 0.03
a
Let f = -391 - -392. What is the nearest to 0.4 in 0.3, f, 1/4?
0.3
Let d = -20 + 20.2. Let s = -7.2 - -1.2. Let c = s - -11. What is the nearest to 0 in c, 1/2, d?
d
Let y = -0.007 - -78.007. Let r = 83 - y. Which is the closest to 0.1? (a) -2/3 (b) r (c) -3/2
a
Let r = -728.024 + 725. Let m = r + 0.024. What is the nearest to -1 in -4, 0, m?
0
Let p = -0.077 + -1.923. Let u be 1/4*(-8 - -6). Which is the closest to 9? (a) -3 (b) u (c) p
b
Let q be (-3)/63*-2*3. Let y = 48.7 - 48.8. Which is the closest to q? (a) 0.1 (b) y (c) 3
a
Let r = -0.004 + -0.096. Let o(g) = 7*g + 1. Let m be o(2). What is the nearest to r in 3, m, -4?
3
Let s be ((-25)/70)/(5*(-4)/(-70)). Which is the nearest to -2/5? (a) -1.4 (b) s (c) 0.5
b
Let g(o) = 64*o - 214. Let x be g(3). Which is the closest to -0.4? (a) 2 (b) x (c) -2
c
Let p = -391 - -332. Which is the closest to 0.1? (a) -3 (b) 0 (c) p
b
Let p = 321.5 + -298.5. Let y be -1*2*2/(-26). Which is the nearest to 1? (a) p (b) 2/9 (c) y
b
Suppose 0 = -13*z + 4*z + 27. Which is the nearest to -2/5? (a) 10/21 (b) z (c) 0.4
c
Let x = -25 - -30. Let u = 20 - 19.8. Which is the closest to u? (a) -1 (b) x (c) 1
c
Let k be 4/(0 + -8) - 0. Let x be -3*4/28 + (-50)/(-182). Which is the closest to -5? (a) k (b) 0.1 (c) x
a
Suppose 0 = -3*o + 21 - 3. Suppose 0 = 6*r - 9*r + o. What is the closest to r in 4, 0.3, 1/5?
0.3
Let q = -7 + 7.15. Let r = q + 0.05. Let g = -5 - -5.3. What is the closest to -1 in g, -1, r?
-1
Suppose 0 = -0*t + 3*t - 24. Let o be (t/(-5))/((-20)/50). Suppose -o*n = -n. Which is the closest to n? (a) 4 (b) 0.4 (c) -5
b
Let z = -0.05 + 0.45. Suppose 14 = -2*l + w + 3*w, 11 = -2*l + 3*w. Let k be (-6)/12*(-1 - l). What is the closest to 1 in 1/2, z, k?
1/2
Let q = -0.84 - -0.74. What is the nearest to q in -1/4, -0.3, -1/116?
-1/116
Let v = 275.883 - 276. Let n = v + 0.067. Which is the closest to 1? (a) n (b) -0.3 (c) 3
a
Suppose -2*l - 26 = 4*i, -11 + 25 = 2*l - 4*i. What is the nearest to -3 in -1, -4, -1/2, l?
l
Let x = -5/136 - -311/136. Which is the closest to 1? (a) x (b) 4 (c) -0.1
c
Suppose 19*a - 20*a = 0. Let q(o) = 1 - 2*o**2 + o**2 - 3*o - 2*o. Let b be q(-6). What is the closest to a in -2/5, 0.05, b?
0.05
Let o be (-4)/(-9)*3*372/1240. Which is the nearest to 0? (a) 4 (b) o (c) 2/11 (d) -35
c
Let q = -834 - -833.7. What is the closest to 2 in -5, -4, q?
q
Let n(y) = -11*y - 81. Let m be n(-7). Let u = -3 + -7. Let h be (-4)/(-5)*u/(-14). Which is the closest to 2/3? (a) 1 (b) h (c) m
b
Let c = 0.2 + -0.2. Let z = -3 - -3.4. What is the nearest to c in -5, z, -2/7?
-2/7
Let b = -0.9 - 0.1. Let a = -8 + 9. Let l = -0.92 - -0.82. What is the nearest to a in l, b, 6?
l
Let q = 3.1 - 3. Let d = -0.6 - -1. Let m be (26/(-7) - -4)/(12/7). What is the nearest to q in 3, d, m?
m
Let h = 290.9 - 291. What is the nearest to h in -7, 5, 3?
3
Let n = 940 - 940. What is the closest to n in 3/4, 0.5, 1/5, 1/7?
1/7
Let i = 0.035 - 0.235. Let k = -2.95 + 3. Let l = -0.15 + k. Which is the closest to i? (a) l (b) -1/7 (c) 0.1
b
Let x = -0.124 - -9.224. Let s = -21 + 12. Let p = x + s. Which is the closest to -0.1? (a) p (b) -5 (c) 0
c
Let k(g) = g + 1. Let z be k(1). Let y = -0.022 + 10.022. Let p = y - 10.2. Which is the nearest to z? (a) 2 (b) p (c) 1/8
a
Let i = -0.3 - 3.2. Let y = i - -7.5. Which is the closest to 2/3? (a) y (b) -4 (c) 0.3
c
Let o = 2.9 - 6.9. Which is the closest to -3/5? (a) -12/13 (b) -1/5 (c) o (d) -2
a
Let o = 6.94 - 6.54. Let b be -4 - -2 - (-6)/5. What is the nearest to 2 in o, -0.3, b?
o
Suppose 5*g + 15 = n, 6*n - 6 = 2*n + 2*g. Let b = -41 - -40.24. Let u = 0.24 - b. What is the nearest to n in -3, -4, u?
u
Let y = 4/63 - 2/7. Let j = 0.029 - -4.971. What is the nearest to j in -1, y, 5?
5
Let w = -179 - -174.3. Let t = -5.6 + 0.6. Let c = w - t. What is the nearest to c in -1/3, -0.5, 0.2?
0.2
Let r = -2 + 2.4. Let t = 333 - 341. Let g = -2 - -2. Which is the closest to -0.1? (a) g (b) t (c) r
a
Suppose 0 = 13*w - 10*w - 3. Let x = 21 + -25. Which is the nearest to w? (a) x (b) -0.4 (c) 1
c
Let p be (-2)/(-4) + (1706035/253270)/(-17). Let i = p - -2/1333. What is the closest to 0 in i, -2, -1/2?
i
Let n = 0.533 - 0.833. What is the nearest to 0 in -1, -6, n, 1/2?
n
Suppose 0 = -4*i + 15 - 3. What is the nearest to 1 in -3, -0.04, -2, i?
-0.04
Let f be 5/((-5)/(-6)) + (-3 - -1). Let x = 1.4 - 1.7. Which is the closest to 1? (a) x (b) f (c) -4
a
Let w = -41/58 - -6/29. What is the nearest to w in -0.1, -0.31, 0?
-0.31
Let d(u) = -3*u - 26. Let s be d(-9). Let a = s + -5/4. What is the closest to a in 1/6, -2/9, 3?
-2/9
Let q = -0.63 - -0.03. Let s = -0.4 + q. Let r = 91/198 + -5/18. Which is the closest to -1? (a) r (b) s (c) 0
b
Let x = -1597 - -1604. Which is the nearest to x? (a) 0.06 (b) -0.1 (c) 0.2
c
Let s = 23.19 + -0.19. Let i = -200 + 176.7. Let k = i + s. Which is the nearest to -1/2? (a) 2/11 (b) 0.3 (c) k
c
Let p be 2/22 - (-13 - 3544/(-264)). What is the nearest to 0.1 in -1/8, p, 2, -3/5?
-1/8
Let m be (-8)/12*6/10*-5. Let k = -5 + 2. Which is the closest to m? (a) k (b) -0.4 (c) 0.1
c
Let u = -217.1 + 217. Which is the closest to u? (a) 3 (b) -5/2 (c) 1.25
c
Let s = 158/69 - 68/23. What is the closest to s in -0.4, 4/7, -25, -2/7?
-0.4
Let s = 1/18 + 5/18. Let p = -38 - -32. What is the closest to 1 in s, -5, p?
s
Let s = 27 + -28. Let b be s - -5 - (-6 - -9). What is the closest to b in -1/3, -1, -4?
-1/3
Let f = -58 - -57. Let g be f/(-1)*9/(-45). Which is the nearest to -0.1? (a) -1/2 (b) 1/4 (c) g
c
Let p = 127 + -129.85. Let y = -3 - p. Let b = -0.65 - y. What is the closest to 0 in 2, b, -0.01?
-0.01
Suppose 5*n + 2*c = -27 - 6, -2*n + 3*c + 2 = 0. What is the nearest to -1 in n, -4, 0.2, -0.05?
-0.05
Let w = -87.11 + 87. Let c = 0.13 + -0.02. Let t = w + c. What is the closest to t in 2/7, 1, -4?
2/7
Suppose -16 = -3*w + 68. Suppose -w - 7 = -7*k. What is the nearest to -1 in 2, 0, k?
0
Let c be 2 - 2 - 4/(-26). Let f = 11 - 6. Suppose -k - 2 = 3*w, f*w = 6*k - 4*k - 7. What is the nearest to k in 5, -2, c?
c
Let y = -0.21 - -0.51. Let g = y - 0.23. Let o = g - 0.17. What is the closest to o in -3, 3, -1/5?
-1/5
Let x = 18 + -18. Suppose x = -3*m + 46 + 2. Let q = -18 + m. What is the closest to -1/3 in 4, q, 3?
q
Let q(m) = -m**2 - 4. Let h be q(0). Suppose -7*s + 1 = 4*c - 8*s, -5*c + 2*s + 5 = 0. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
3081222?
1027074*r
What is the v'th term of -1003, -1007, -1011, -1015, -1019, -1023?
-4*v - 999
What is the t'th term of -95827, -95830, -95835, -95842, -95851?
-t**2 - 95826
What is the u'th term of 220, 419, 630, 859, 1112, 1395, 1714?
u**3 + 192*u + 27
What is the n'th term of -58283, -116566, -174849, -233132?
-58283*n
What is the r'th term of -3368, -13518, -30438, -54128, -84588, -121818, -165818?
-3385*r**2 + 5*r + 12
What is the m'th term of -81379, -81378, -81377, -81376, -81375, -81374?
m - 81380
What is the p'th term of 1326, 1296, 1228, 1104, 906?
-3*p**3 - p**2 - 6*p + 1336
What is the x'th term of -561, -1105, -1613, -2067, -2449, -2741?
3*x**3 - 565*x + 1
What is the o'th term of -406, -848, -1276, -1684, -2066, -2416?
o**3 + o**2 - 452*o + 44
What is the v'th term of -678683, -1357366, -2036049, -2714732, -3393415?
-678683*v
What is the m'th term of -62483, -124966, -187449?
-62483*m
What is the t'th term of 166840, 166836, 166832, 166828, 166824?
-4*t + 166844
What is the f'th term of 11333, 11303, 11259, 11201, 11129, 11043?
-7*f**2 - 9*f + 11349
What is the p'th term of -908, -910, -912?
-2*p - 906
What is the l'th term of -145, -580, -1321, -2380, -3769, -5500, -7585, -10036?
-2*l**3 - 141*l**2 + 2*l - 4
What is the k'th term of 501, 3857, 12899, 30471, 59417, 102581?
474*k**3 - k**2 + 41*k - 13
What is the y'th term of -793, -1597, -2391, -3169, -3925, -4653, -5347?
y**3 - y**2 - 808*y + 15
What is the z'th term of -5521, -5523, -5525?
-2*z - 5519
What is the p'th term of 733, 707, 641, 517, 317, 23, -383, -919?
-3*p**3 - 2*p**2 + p + 737
What is the p'th term of 5381, 5408, 5455, 5522, 5609?
10*p**2 - 3*p + 5374
What is the h'th term of -4771, -19424, -43845, -78034, -121991, -175716?
-4884*h**2 - h + 114
What is the y'th term of -2717, -5349, -7899, -10367?
41*y**2 - 2755*y - 3
What is the d'th term of 59, 21, -87, -301, -657, -1191, -1939, -2937?
-6*d**3 + d**2 + d + 63
What is the t'th term of -78, -515, -952, -1389?
-437*t + 359
What is the k'th term of 2091, 4174, 6257?
2083*k + 8
What is the k'th term of -23, -73, -165, -323, -571?
-4*k**3 + 3*k**2 - 31*k + 9
What is the p'th term of -83, -42, 23, 112?
12*p**2 + 5*p - 100
What is the b'th term of 250, 223, 192, 169, 166?
2*b**3 - 14*b**2 + b + 261
What is the p'th term of 138, 616, 1788, 4002, 7606, 12948, 20376, 30238?
58*p**3 - p**2 + 75*p + 6
What is the y'th term of 6562, 6564, 6574, 6598, 6642?
y**3 - 2*y**2 + y + 6562
What is the f'th term of 61633, 123283, 184979, 246745, 308605?
4*f**3 - f**2 + 61625*f + 5
What is the i'th term of -7907, -15820, -23735, -31652, -39571?
-i**2 - 7910*i + 4
What is the n'th term of -46, 149, 544, 1145, 1958, 2989?
n**3 + 94*n**2 - 94*n - 47
What is the w'th term of -9037, -9014, -8975, -8920, -8849, -8762?
8*w**2 - w - 9044
What is the b'th term of 285500, 285499, 285498, 285497, 285496?
-b + 285501
What is the d'th term of -2083, -2082, -2095, -2128, -2187, -2278?
-d**3 - d**2 + 11*d - 2092
What is the u'th term of -1509, -1182, -853, -522?
u**2 + 324*u - 1834
What is the j'th term of 593, 2134, 4709, 8324, 12985, 18698?
j**3 + 511*j**2 + j + 80
What is the z'th term of -1333, -10063, -33759, -79903, -155977?
-1247*z**3 - z**2 + 2*z - 87
What is the j'th term of -1313, -1349, -1383, -1415, -1445?
j**2 - 39*j - 1275
What is the o'th term of -969, -1170, -1715, -2778, -4533, -7154, -10815?
-29*o**3 + 2*o**2 - 4*o - 938
What is the u'th term of 1553, 6174, 13885, 24686, 38577?
1545*u**2 - 14*u + 22
What is the d'th term of -1024, -953, -778, -451, 76?
8*d**3 + 4*d**2 + 3*d - 1039
What is the j'th term of -747, -742, -737?
5*j - 752
What is the r'th term of -50129, -50200, -50319, -50486?
-24*r**2 + r - 50106
What is the a'th term of -91051, -91052, -91053, -91054?
-a - 91050
What is the f'th term of -89, -119, -89, 1?
30*f**2 - 120*f + 1
What is the u'th term of 19114, 38228, 57342?
19114*u
What is the x'th term of -49, -134, -217, -298, -377?
x**2 - 88*x + 38
What is the a'th term of -105137, -210267, -315397, -420527, -525657, -630787?
-105130*a - 7
What is the l'th term of 9480, 18972, 28476, 37998, 47544?
l**3 + 9485*l - 6
What is the v'th term of 929, 1660, 2383, 3092, 3781, 4444?
-v**3 + 2*v**2 + 732*v + 196
What is the y'th term of -429, -1156, -1883, -2610?
-727*y + 298
What is the v'th term of -1577, -1863, -2147, -2429, -2709, -2987, -3263?
v**2 - 289*v - 1289
What is the l'th term of 1401294, 1401295, 1401296?
l + 1401293
What is the c'th term of 4234, 4154, 4074?
-80*c + 4314
What is the r'th term of 133, 553, 1267, 2281, 3601, 5233?
r**3 + 141*r**2 - 10*r + 1
What is the i'th term of -72, -135, -262, -471, -780?
-3*i**3 - 14*i**2 - 55
What is the i'th term of -18405, -18409, -18413, -18417, -18421?
-4*i - 18401
What is the x'th term of 12059, 12211, 12363, 12515, 12667?
152*x + 11907
What is the c'th term of 3144, 24129, 81098, 192045, 374964?
2999*c**3 - 2*c**2 - 2*c + 149
What is the k'th term of 1023, 1028, 1033?
5*k + 1018
What is the f'th term of 2629, 2142, 1653, 1162, 669, 174, -323?
-f**2 - 484*f + 3114
What is the y'th term of 327, 692, 1057, 1422?
365*y - 38
What is the l'th term of 1101431, 2202861, 3304291, 4405721, 5507151, 6608581?
1101430*l + 1
What is the o'th term of -3453, -6890, -10327?
-3437*o - 16
What is the w'th term of -1013, -1596, -2177, -2756, -3333, -3908?
w**2 - 586*w - 428
What is the o'th term of 387, 803, 1271, 1791?
26*o**2 + 338*o + 23
What is the m'th term of 1275, 1416, 1555, 1692, 1827?
-m**2 + 144*m + 1132
What is the p'th term of -1643, -1649, -1667, -1703, -1763, -1853, -1979, -2147?
-p**3 + p - 1643
What is the v'th term of 2036, 8182, 18424, 32762, 51196?
2048*v**2 + 2*v - 14
What is the m'th term of 72542, 72541, 72538, 72533?
-m**2 + 2*m + 72541
What is the o'th term of -59, -154, -247, -344, -451?
-o**3 + 7*o**2 - 109*o + 44
What is the g'th term of -70, 241, 1256, 3329, 6814, 12065, 19436?
59*g**3 - 2*g**2 - 96*g - 31
What is the k'th term of 288823, 288822, 288821, 288820?
-k + 288824
What is the r'th term of 5927, 5927, 5929, 5933, 5939, 5947?
r**2 - 3*r + 5929
What is the j'th term of 23787, 23786, 23785, 23784, 23783?
-j + 23788
What is the y'th term of 15833, 31667, 47501, 63335?
15834*y - 1
What is the r'th term of 64, 334, 822, 1528, 2452, 3594, 4954?
109*r**2 - 57*r + 12
What is the w'th term of 3069, 6073, 9077, 12081?
3004*w + 65
What is the n'th term of -2118, -4259, -6400, -8541, -10682, -12823?
-2141*n + 23
What is the c'th term of -2554155, -2554156, -2554157, -2554158?
-c - 2554154
What is the o'th term of 1581, 1599, 1611, 1611, 1593, 1551?
-o**3 + 3*o**2 + 16*o + 1563
What is the k'th term of 1915, 7664, 17249, 30670, 47927?
1918*k**2 - 5*k + 2
What is the m'th term of 1124, 1122, 1098, 1052, 984, 894, 782?
-11*m**2 + 31*m + 1104
What is the s'th term of -229191, -229199, -229207, -229215, -229223, -229231?
-8*s - 229183
What is the r'th term of 143, 178, 185, 164, 115, 38, -67?
-14*r**2 + 77*r + 80
What is the l'th term of 212, 218, 232, 254?
4*l**2 - 6*l + 214
What is the u'th term of 29037, 58075, 87115, 116157, 145201?
u**2 + 29035*u + 1
What is the f'th term of -2082820, -4165638, -6248456?
-2082818*f - 2
What is the z'th term of 1450, 1318, 1174, 1012, 826?
-z**3 - 125*z + 1576
What is the f'th term of -39035, -39034, -39033, -39032?
f - 39036
What is the o'th term of -657, -1435, -2337, -3363, -4513?
-62*o**2 - 592*o - 3
What is the v'th term of -1240, -1178, -1122, -1072, -1028, -990?
-3*v**2 + 71*v - 1308
What is the a'th term of 22846, 45498, 68162, 90844, 113550?
a**3 + 22645*a + 200
What is the h'th term of 43190, 43161, 43132, 43103, 43074?
-29*h + 43219
What is the c'th term of -40537, -162120, -364765, -648478, -1013265, -1459132?
-c**3 - 40525*c**2 - c - 10
What is the n'th term of 577, 2053, 4427, 7699, 11869, 16937?
449*n**2 + 129*n - 1
What is the k'th term of -702, -755, -906, -1203, -1694, -2427, -3450?
-8*k**3 - k**2 + 6*k - 699
What is the q'th term of -35629, -35590, -35541, -35476, -35389, -35274?
q**3 - q**2 + 35*q - 35664
What is the y'th term of -1105, -1259, -1507, -1843, -2261, -2755, -3319?
y**3 - 53*y**2 - 2*y - 1051
What is the h'th term of -17, 86, 261, 508, 827, 1218, 1681?
36*h**2 - 5*h - 48
What is the d'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5 = 4*q. What is the remainder when 18 is divided by q?
3
Let c = 6 - 2. What is the remainder when 17 is divided by c?
1
Suppose 0 = 3*d + 5*y + 10, -y = 4*d + d + 24. Calculate the remainder when (3 + d)*(-74)/4 is divided by 13.
11
Let k be (-1)/(-4) - 7/(-4). Calculate the remainder when 44 - k/((-2)/3) is divided by 12.
11
Suppose 4*h + 13 = 5*h. Suppose -13 = 5*t - 133. What is the remainder when t is divided by h?
11
Suppose -2*r = 3 - 19. Suppose 5*f - 98 = 17. Calculate the remainder when f is divided by r.
7
Let l = -7 + 7. Suppose l = -3*b + 16 + 2. Let s = -3 + b. Calculate the remainder when s is divided by 3.
0
Let s(w) = -w**2 + 8*w + 11. Let b be s(11). Calculate the remainder when 50 is divided by (3 - 1) + b/(-2).
11
Suppose -17 = -3*k + 4. Let j(h) = h**3 - 7*h**2 + 6*h + 8. Let a be j(k). Suppose 0*o + a = o. What is the remainder when o is divided by 17?
16
Suppose 0 = -7*y + 296 + 208. Calculate the remainder when y is divided by 25.
22
Let h(v) = -10*v**3 - 3*v**2 - 2*v. Calculate the remainder when 44 is divided by h(-1).
8
Let m = -60 - -139. Calculate the remainder when m is divided by 5.
4
Let j = -18 + 32. Let f = 0 + j. Suppose -6 = 2*n - 14. Calculate the remainder when f is divided by n.
2
Let a = 58 - 51. Calculate the remainder when 11 is divided by a.
4
Suppose -14*s = -2*v - 11*s + 170, 3*s = 3*v - 252. Calculate the remainder when v is divided by 12.
10
Let q be (0 + 1 - 0) + 0. Let m = 13 + q. What is the remainder when 40 is divided by m?
12
Let z be (-8)/56 + 128/14. Calculate the remainder when 39 is divided by 88/z + (-24)/(-108).
9
Let a = 4 - 3. Let q = a + 15. What is the remainder when 30 is divided by q?
14
Let q = 106 - 60. Calculate the remainder when q is divided by 6.
4
Suppose -3*i + 96 = -v, 3*i + 0*v + 3*v = 96. Let p = 31 - 28. Let k = i + p. Calculate the remainder when k is divided by 18.
17
Let y(x) = x**3 + 10*x**2 + 6*x - 9. Calculate the remainder when y(-9) is divided by 10.
8
What is the remainder when 596/10 + 2/5 is divided by 16?
12
Suppose 114 = -3*t + 9*t. Calculate the remainder when t is divided by 7.
5
Let m = 0 + 3. What is the remainder when 53 - (4 + (-6)/m) is divided by 18?
15
Suppose 0 = 5*x - n - 248, -3*x + 2*x + 3*n = -58. Calculate the remainder when x is divided by 13.
10
Let n(m) = -m. Let w = -7 + 21. What is the remainder when w is divided by n(-5)?
4
Suppose 0 = -3*u + 6*u - 2*j - 55, -5*j = -3*u + 43. Suppose -3*n = -18 - u. Calculate the remainder when 49 is divided by n.
10
Let g be (14/(-4))/((-1)/2). Suppose g*c = -5*f + 5*c + 40, 2*f + 3 = 3*c. Calculate the remainder when 21 is divided by f.
3
Suppose -51 - 179 = -5*j. Let b(f) = 3*f - 3. What is the remainder when j is divided by b(5)?
10
Let c = 121 + -78. What is the remainder when c is divided by 9?
7
Calculate the remainder when -1 + (-6)/(1 + -4) is divided by 1.
0
Let d(y) = -y**3 - 7*y**2 - 7*y - 5. Let n be d(-6). Let p = -35 + 40. Suppose -n + 81 = p*q. What is the remainder when q is divided by 6?
4
Suppose 5*t = 7*t - 26. Suppose 4*x + h - 152 = 0, -2*h + 127 = 3*x + t. What is the remainder when x is divided by 2/(-2*(-1)/13)?
12
Let n(w) = w**2 - 2*w + 2. Let z(u) = u**2 - 8*u + 8. Let y = -2 + 9. What is the remainder when n(2) is divided by z(y)?
0
Suppose 0*p = -p + 4. Suppose 8 = -2*t + p*t. Let f(r) = -r. What is the remainder when t is divided by f(-2)?
0
Let b = -22 - -16. Let h be b/(-12)*(11 - 1). What is the remainder when 43 is divided by (4 - h)/(1/(-15))?
13
Let a(p) = 2*p**2 - 8*p + 2. Let x be a(3). Calculate the remainder when 22 is divided by -1 - (-1 - (x - -10)).
4
Suppose i + 4*j + 19 = -0*i, -4*i - 25 = -j. Let r = i - -16. What is the remainder when 17 is divided by r?
8
Let l(w) = 33*w**2 - 9*w + 8. What is the remainder when l(2) is divided by 62?
60
Suppose 4*j + 0*j = 16. Suppose 0 = a - j*a + 93. Calculate the remainder when a is divided by (40/15)/((-1)/(-6)).
15
Suppose h - 91 = -4*o, -3*o + 3*h = -0*h - 87. What is the remainder when 47 is divided by o?
23
Let v = -28 - -24. Calculate the remainder when 27 is divided by (35/20)/((-1)/v).
6
Let t(i) = -i**3 + 5*i**2 + 7*i - 5. Let w be t(6). Let u be (51/(-15) - w)*5. Let v = -9 - u. Calculate the remainder when 37 is divided by v.
11
Let z be (77 - 3) + -4 + 2. Suppose -2*g = -5*q - 95, 0 = -4*g - q + 107 + z. Calculate the remainder when g is divided by 12.
9
Let u be 12/(-4) - 5*-5. What is the remainder when 128/u - (-4)/22 is divided by 3?
0
Let n = -90 + 154. Suppose 0 = 4*o + b + n, 0 = -2*o - 2*b - b - 42. Let r = o + 23. Calculate the remainder when 15 is divided by r.
7
Suppose -k - 5*k = -126. Calculate the remainder when 62 is divided by k.
20
Calculate the remainder when (164 - 9) + (-3)/(9/(-12)) is divided by 40.
39
Suppose 4*g - 5*g = 0. Suppose g*n = -2*n + 26. What is the remainder when 49 is divided by n?
10
Let n(f) = -2*f + 53. What is the remainder when 25 is divided by n(19)?
10
Suppose -2*c - 128 = 2*c. Let h = c - -52. What is the remainder when 59 is divided by h?
19
Suppose -2*b = 5*q - 45, 3*b + 17 = -5*q + 87. Let h = -121 - -219. Calculate the remainder when h is divided by b.
23
Suppose 8*u - 126 = -38. What is the remainder when 73 is divided by u?
7
Suppose r + 38 - 3 = 4*b, -4*b = 5*r - 41. What is the remainder when (-237)/(-9) - (-6)/b is divided by 10?
7
What is the remainder when 3/(-9) + 860/6 is divided by 36?
35
Let a = 6 + -3. Let z = 116 - 65. Suppose -a*c + z + 13 = 4*n, 60 = 4*n + 4*c. Calculate the remainder when n is divided by 10.
9
Suppose 0 = -2*s - 2*s + 12. Suppose 74 = s*g + 29. What is the remainder when 28 is divided by g?
13
Suppose 0 = -6*y + 245 + 61. Calculate the remainder when 254 is divided by y.
50
Suppose 4 = -o + 5*o. Suppose 3*y - 3 = -0*y. What is the remainder when y is divided by o?
0
Suppose 4*w = -5*m + 535 - 169, -5*m + 4*w = -334. Calculate the remainder when m is divided by 24.
22
Suppose 0 = -3*f + 5*o + 5, -4*f + 2*f = 2*o + 18. Let g = 11 + f. Calculate the remainder when (-2)/6 - 735/(-45) is divided by g.
4
Suppose -w = -2, 5*p - 35 = -2*w - 6. Let a = 2 + 1. Suppose 0*n = a*n - 36. What is the remainder when n is divided by p?
2
Suppose -n + 8 = 2*f - 2, -2*f + 3*n + 2 = 0. Calculate the remainder when 40 is divided by f.
0
Suppose -3*m + 1000 = -26. Suppose v + m = 5*p - 0*v, 144 = 2*p - 4*v. What is the remainder when p is divided by 23?
22
Suppose r + 1 = 4. Suppose 15 + 3 = -r*y. Calculate the remainder when 22 is divided by 9/y - 19/(-2).
6
Let q(v) = -2*v**3 - 3*v**2 + 5*v + 2. Let g(m) = -m**2 + 7*m + 2. Let w be g(7). Suppose 2*h + w*h = -12. Calculate the remainder when q(h) is divided by 5.
4
What is the remainder when 10/((8/(-4))/(-24)) - 2 is divided by 15?
13
Let t = -154 - -181. Suppose 3 = 2*q - 25. What is the remainder when t is divided by q?
13
Let r(a) = -7*a - 3. Let y be r(-3). Let x = y + -3. What is the remainder when x is divided by 8?
7
Suppose -2*b + 5 + 1 = 0. What is the remainder when b is divided by -4*(2 + -3) + -2?
1
Let q = 44 - 35. Calculate the remainder when 31 is divided by q.
4
Calculate the remainder when (2 - 2) + (-117)/(-1) is divided by 20.
17
Suppose 6*j = 3*j + 102. What is the remainder when j is divided by 12?
10
Let b(h) = 6*h**2 - 2*h - 2. Let l be b(-2). Let y = -18 + l. Calculate the remainder when 23 is divided by y.
7
Let a = -54 + 124. Calculate the remainder when a is divided by 24.
22
Let z(j) = j**2 + 3*j. Let i be z(-3). Let y = i - -4. What is the remainder when y is divided by 2?
0
Let t be (-3 - -4) + 1*35. Let a = 54 - t. What is the remainder when 35 is divided by a?
17
Let p(m) = -m**3 + 5*m**2 + 3*m + 1. What is the remainder when 63 is divided by p(5)?
15
Let p be 4 - 1*3/3. Suppose p*r = 2*r + 3. Suppose 30 + r = 3*c. What is the remainder when c is divided by 6?
5
Suppose -4*x + 227 = 47. Calculate the remainder when x is divided by 16.
13
Calculate the remainder when 14 is divided by -3*-1*(-15)/(-9).
4
Let b(u) be the first derivative of 2*u**3/3 + 3*u**2/2 - u + 1. What is the remainder when (4/(-40)*-8)/(4/110) is divided by b(-3)?
6
Let c be (-4 + 4)/(-1 - 0). Suppose c = -4*a + 6 + 14. What is the remainder when 12 is divided by a?
2
Let p = -61 + 76.
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 4*v - 10942 = 334. Is v a prime number?
True
Let m(d) = -2*d - 4. Let q be m(-6). Suppose 0 = b - 27 + q. Is b a composite number?
False
Suppose -4*v + i + 3 + 13 = 0, v - 3*i = -7. Suppose 3*o - 7 = -v*l + 3, 2*o = 4*l - 8. Let u(t) = -t + 145. Is u(o) a prime number?
False
Suppose -4*i - 4 = 0, -6*i + 4*i - 17 = -3*r. Let z be (6/(-2) + 2)*-70. Suppose 0 = r*v - z. Is v composite?
True
Let s = -737 + 1044. Is s a prime number?
True
Let g(z) = 4*z - 3*z - 3*z + z - 1. Let r(h) = 2*h + 19. Let m(f) = 5*g(f) + r(f). Is m(-11) composite?
False
Is (14*1165/(-30))/(1/(-3)) a prime number?
False
Let t(q) = 5*q**2 - 2*q - 1. Is t(-6) a composite number?
False
Let h = -19 - -24. Suppose -79 = h*j - 369. Is j composite?
True
Let u(h) = -3*h + 3. Let a be u(4). Is -3*(-2 + 48/a) a prime number?
False
Suppose -3*j = -6 - 9. Suppose -j*b = 945 + 795. Is -3*b/9 - 1 a prime number?
False
Suppose 4*a + 3426 = 4*g - 4026, 5599 = 3*g + 2*a. Is g prime?
False
Let j(w) = -2*w**3 - 7*w**2 - 18*w - 19. Is j(-6) a composite number?
False
Let f = 2804 - -195. Is f a prime number?
True
Suppose 4*y + 951 = 7*y. Is y a prime number?
True
Is (2*-3)/((-32)/944) composite?
True
Let b be (-2 + 2)/(2/1). Suppose 2*i - i = b. Suppose 5*w + i = 3*t - 53, 3*w + 78 = 4*t. Is t a composite number?
True
Let m(l) = 10*l**3 + l**2 - 2*l + 1. Is m(3) a prime number?
False
Let o(h) be the first derivative of -3*h**5/20 - h**4/4 + 2*h**3/3 - h**2/2 + h + 2. Let f(l) be the first derivative of o(l). Is f(-4) prime?
True
Let v = 39 - 315. Let t = 497 + v. Is t a composite number?
True
Let o be 4/(-18) + (-4)/(-18). Suppose o = 2*m + t - 6 - 5, 0 = -5*t - 5. Suppose 2*z = -8, -111 = p - m*p + 4*z. Is p a composite number?
False
Let t be -9*(8/(-6) + 1). Suppose -t*b + 258 = -b - 5*h, -5*h = 2*b - 218. Is b a prime number?
False
Let j be (-76)/10 + 8/(-20). Let o = j - -5. Let t(g) = -6*g + 4. Is t(o) prime?
False
Let w(o) = o + 31. Let n be w(0). Let p = n + 0. Is p a prime number?
True
Suppose -125 = -i + 3*r + 51, 5*r + 15 = 0. Let k = i - 91. Suppose 7*o = 3*o + k. Is o prime?
True
Let p be (-11 + 3)*(0 + -2). Suppose 0 = 3*h - q - q - p, -3*h + 14 = -4*q. Is h prime?
False
Let x = -39 + 13. Let w = x - -39. Is w a composite number?
False
Let o(y) = -6*y**3 - 4*y**2 - 2*y. Let k be o(-2). Suppose -k - 40 = -2*q. Is q composite?
True
Let i(l) = -9*l**3 + 2*l**2 - l - 1. Is i(-3) a prime number?
True
Let j be ((-1)/(-1))/1*9. Let b(r) = -5 + 5*r**2 - 2*r**2 + j*r - 4*r**2. Is b(4) a composite number?
True
Suppose -5*s + 0 + 10 = 0. Suppose s*g = 3*g - 89. Is g composite?
False
Let o(p) = -p. Let z(w) = 12*w + 1. Let y be ((-1)/(-1))/((-3)/12). Let t(i) = y*o(i) - z(i). Is t(-1) composite?
False
Let f be 20/(-6) - (-12)/(-18). Is (-10)/f*(-7 - -261) composite?
True
Suppose 3*b - 1 - 8 = 0. Suppose -b*i - i = -84. Suppose 4*o - o - i = 0. Is o a composite number?
False
Suppose 4*z + 910 = -m, -2*m + 3 + 1 = 0. Let r = z + 146. Let k = -47 - r. Is k a composite number?
True
Suppose -3*b - b = -1992. Let q = b - 293. Is q prime?
False
Suppose 3*g = 19 - 1. Is (-18)/(-8)*16/g a composite number?
True
Let b(d) = -13*d - 7. Let u(o) = o**3 + 2*o**2 - o - 4. Let p be u(-3). Is b(p) prime?
False
Let h = 9 + -6. Suppose h*i + 29 = f, -2*f = f - i - 79. Let n = f + -16. Is n a composite number?
True
Let g(k) = k**3 - 6*k**2 - 12*k + 1. Let t = -13 - -21. Is g(t) composite?
True
Suppose -2*w = -3*j - w - 54, 70 = -5*j - 5*w. Let g = j - -336. Suppose l - 183 = -s, -4*l - 3*s + g = -415. Is l a prime number?
False
Let m be 3 - ((-2)/(-2))/(-1). Let k(n) = n**2 - 5. Is k(m) a prime number?
True
Let c(y) = y - 14. Let w be c(7). Let h = w + 10. Suppose 51 + 60 = h*t. Is t prime?
True
Let c be 1*177/3 + -3. Let v = 130 - c. Is v a prime number?
False
Let v = -11 + 15. Is (v + -1 - 2)*58 composite?
True
Let g be (0/2)/1 + 5. Suppose -3 - g = -4*k. Suppose 52 = 4*p - k*w - 4, 5*p - 70 = -3*w. Is p composite?
True
Let v be -2 + 4/((-4)/(-5)). Suppose 563 = -p + 6*p - v*b, 4*b = 16. Is p prime?
False
Let j(h) = -h**3 + 7*h**2 + 8*h + 3. Let o be j(8). Suppose -u + 2*p - 4 = u, -5*u = -o*p. Suppose -u*g = -0*g - 201. Is g a prime number?
True
Let t = 10 + -7. Suppose a + 70 = t*a. Is a a composite number?
True
Suppose -3*s = s. Suppose -2*v + v = s. Suppose v = -0*t - 5*t + 50. Is t composite?
True
Let f be (30/25)/((-6)/(-5420)). Suppose 5*k = -39 + f. Is k a prime number?
False
Let m = 74 + 13. Is m a prime number?
False
Let q = 154 - 65. Is q composite?
False
Let s = -2700 - -4849. Is s a composite number?
True
Let y(p) = -9*p - 4. Let x(o) = o + 4. Let s be x(-7). Is y(s) a composite number?
False
Is 11/(5 - (-2520)/(-505)) prime?
False
Is (4 - -7)*(-39)/(-3) a composite number?
True
Let f = 13 - 5. Is ((-4)/f)/(1/(-762)) a prime number?
False
Suppose -2*n - 3*j + 1 = 0, -n + 3*j + 13 = -5*n. Let q(k) = -2*k + 9. Is q(n) a prime number?
True
Let n be (-1)/(-1)*0 + 0. Suppose -3*c - 4*k + 495 = -n*k, -155 = -c + 2*k. Is c a prime number?
False
Suppose 0 = -a + 4*v - 2*v + 45, 4*a = -4*v + 228. Is a a prime number?
True
Let h(q) = -q**3 + q**2 + 10*q - 3. Is h(-7) a prime number?
False
Suppose -4*t + 95 = -5*s, -5*s + 5*t - 90 = -0*t. Let r = -43 - s. Let y = 71 + r. Is y composite?
True
Suppose 9*a = 5*a. Suppose a*x + x = 14. Is x a prime number?
False
Let i = 3 + -2. Let v be (4 - (i + 1))*2. Is (3 - v)/(2/(-44)) a prime number?
False
Suppose -c + 3*c - 18 = -q, 0 = 2*q - 2*c - 60. Let l = q - 14. Is (l/16)/(1/28) composite?
True
Suppose -10 = -j - 38. Is j*(-1 - (-4)/16) a prime number?
False
Suppose 0 = -b - 3*o + 116, -3*b = -2*o - 3*o - 348. Let p = b - 280. Let l = p + 291. Is l a composite number?
False
Suppose 896 = 4*i - 2*h, 5*i - 9*h + 14*h - 1105 = 0. Is i a composite number?
False
Is (-296 - 6/3)/(-2) a composite number?
False
Let t be (-75)/27 + 8/(-36). Is t/(-2)*308/21 a prime number?
False
Is (662/4)/(11/22) a composite number?
False
Suppose -4*f - 5*l + 4234 = 0, l = 4*f - l - 4248. Is f prime?
True
Suppose -4*v - q + 699 = -3501, 5*v = 2*q + 5237. Is v a composite number?
False
Let t(s) = s**3 + 8*s**2 + 10*s - 3. Let p be t(-8). Is (-4 - p)*(-2)/(-2) a prime number?
True
Suppose 0 = -2*j - 4*b + 618, 216 = 3*j - 3*b - 702. Is j composite?
False
Let t be 2/(-8) + (-261)/(-4). Suppose 0 = -w - 3 + t. Suppose 2*r - 44 = w. Is r a composite number?
False
Let m be (-8)/(-3 + 24/9). Is 13256/m + 4/6 a prime number?
False
Let v be 2*(-3 - (-18)/4). Suppose -v*o - 925 = -8*o. Suppose 5*b + 5*d = o, d = -3*b + 2*d + 111. Is b prime?
True
Let i(z) = z**3 + 7*z**2 - 6. Let j be i(-8). Suppose -4*h + 3*w - 37 - 98 = 0, 4*h = -4*w - 128. Let g = h - j. Is g a composite number?
False
Let c be (-2)/3*-6*1. Suppose c*o - 325 - 193 = 2*a, 2*a + 10 = 0. Is o composite?
False
Suppose -2*k = -5*v - 343, 4*v + 525 = 5*k - 2*k. Is k a composite number?
False
Suppose l - 30 = 5*p, 2*p = -7*l + 2*l + 42. Let u(s) = 14*s**2 + 39*s + 32. Let g(v) = -5*v**2 - 13*v - 11. Let f(a) = 17*g(a) + 6*u(a). Is f(l) prime?
False
Suppose -3*i + 2*x = -2*x - 1875, 617 = i - 4*x. Is i a prime number?
False
Let f be 0 + 2 - -1 - 3. Suppose 5*k - 10 = -f. Suppose -308 = -6*c + k*c. Is c a prime number?
False
Let h(c) = 2*c**2 + 5*c - 5. Let v be h(7). Suppose v - 50 = 2*l + 2*j, 4*l - 3*j = 142. Is l a composite number?
False
Is (-2444)/(-12) + 2/(-3) a composite number?
True
Let z be 2/(-2) - -1*3. Suppose -z*f + 1 = -5. Suppose -o + 9 = -q, f*o - 2*o - 9 = -3*q. Is o a composite number?
True
Suppose 2*w = 5*j - 70, -2*j - 204 = -0*w + 5*w. Is (-490)/w*(5 - 1) a prime number?
False
Let q(b) = b**2 + 2*b + 2. Let n be -4 + 5 + 0 + 1. Let o be ((-4)/6)/(n/6). Is q(o) a prime number?
True
Let q = -13 - -18. Suppose 0 = q*d - 20 - 275. Is d prime?
True
Let i(q) = q**3 + 3*q**2 - 6*q - 4. Suppose 14 = -2*r + 6. Let c be i(r). Is 2/c*5*6 a composite number?
True
Suppose -m + 8421 = 2*m. Is m prime?
False
Suppose -2*x = 5*b - x - 9476, 3*x = -5*b + 9478. Is b a prime number?
False
Suppose 3*q + 0*q = 354. Suppose w - q = -w. Is w a prime number?
True
Let i be (1 + 4/(-6))*3. Is (14/(-4))/(i/(-10)) prime?
False
Suppose 0 = 4*o + 2*j - 4164, o - 362 = -3*j + 669. Is o a prime number?
False
Is (-2 + 1)/(11/(-16621)) prime?
|
{
"pile_set_name": "DM Mathematics"
}
|
16 = -2*k + 2*r, -4*r - 23 = -5*k. Suppose 4*b + 3*y - 4*y - 41 = 0, k*b + 2*y = 28. What is the remainder when 19 is divided by b?
9
Let j be ((-1)/1)/((-2)/4). Suppose -3*d + v + 17 = -4, j*v + 21 = 3*d. Suppose -d = -4*a + 13. Calculate the remainder when 9 is divided by a.
4
Let a = 25 + -17. Suppose d + 4 = 0, -5*w - 2*d + 13 = d. What is the remainder when a is divided by w?
3
Let r(v) = -13*v**3 + v**2 + v. Suppose -21*d = -25*d + 148. Calculate the remainder when d is divided by r(-1).
11
Let y(p) = -p**2 - 6*p. Suppose -4*k = -w + 15, -3*k = -2*k + 4*w + 25. Calculate the remainder when 9 is divided by y(k).
4
Let s = 13 + -9. Suppose -s*k + 5*d = -21, -2*k + 3*d + 30 = 7*d. Calculate the remainder when (1 - 1) + (-78)/(-3) is divided by k.
8
Suppose 0 = 2*a - 14. Calculate the remainder when 19 is divided by a.
5
What is the remainder when 65 is divided by (-402)/(-12) - 1/2?
32
Let h(k) = -k**3 + 12*k**2 - 10*k - 5. Suppose -l = -f + l + 18, 10 = 3*f + 5*l. What is the remainder when (-107)/(-5) - 4/f is divided by h(11)?
3
Let l(r) = -r**3 + r**2 - 3*r + 3. What is the remainder when l(-3) is divided by 17?
14
Suppose 52 - 65 = -g. What is the remainder when 31 is divided by g?
5
Suppose 5*b = 4*b + 3. What is the remainder when 6 is divided by b?
0
Suppose -b + 5*l - 31 = -5*b, 5*l - 3 = 3*b. What is the remainder when -1*((-2)/1 - 12) is divided by b?
2
Suppose 0 = -2*p - 35 + 357. Let h(b) = b**2 + 4*b - 8. Let y be h(-6). Suppose -y*i + p = 1. What is the remainder when i is divided by 14?
12
Let t(k) = -k**2 + 11*k - 2. Calculate the remainder when t(8) is divided by 12.
10
Let a(q) = 5*q - 4. Let m = 7 + -1. What is the remainder when a(3) is divided by m?
5
Suppose -52 = 5*t - 147. Calculate the remainder when 35 is divided by t.
16
Suppose 5*m = -5*l + 10, 8 - 1 = 3*l + 2*m. What is the remainder when l is divided by 1?
0
Let q(m) = -m**3 + 6*m**2 + 9*m - 9. Let s be q(7). Suppose -2*f + 8 = 0, -3*k = -f + s*f - 88. Calculate the remainder when k is divided by 13.
11
Suppose -10*j + 5*j + 43 = r, 5*r + j - 287 = 0. Calculate the remainder when 170 is divided by r.
54
Suppose -4*o = l - 15, -2*l = 3*o + 1 - 11. Calculate the remainder when 34 is divided by o.
2
Suppose i = 9 + 9. Calculate the remainder when 33 is divided by i.
15
Suppose -5*p + 4*n + 11 = -0*p, p + 3*n - 6 = 0. What is the remainder when 13 is divided by p?
1
Suppose -30 = -l - l. Suppose 60 = 5*j + 4*z, -j - 2*z = 9 - 27. What is the remainder when l is divided by j?
7
Suppose 5*f + 6 - 26 = 0. Suppose 4*r + f*n = 80, -40 = -2*r - 0*r + 5*n. Calculate the remainder when r is divided by 11.
9
Let g = 5 - -8. Let r be (-4 - 0)*215/(-10). Let q = r + -61. Calculate the remainder when q is divided by g.
12
Suppose 4*o - 24 = 3*m, 65 = 3*o + 2*o + 5*m. Suppose -2*b - t + 3 = 0, -3*b + 2*t = -5*b - 2. Calculate the remainder when o is divided by b.
1
Suppose -4*y + 60 = 2*j, 0*y + 163 = 5*j - 3*y. What is the remainder when j is divided by 7?
4
Let s(m) = 3*m**2 + 5*m - 2. Let d be s(3). Let j = d + 10. Calculate the remainder when j is divided by 15 - (-2 + -2 + 2).
16
Suppose q + 7 = -3*s - 5, 0 = 2*q - 4*s - 26. Suppose 2*z + q = -z, -258 = -5*c + 3*z. What is the remainder when c is divided by 18?
15
Let b(o) = 5*o + 14 - 11 + 3*o. What is the remainder when b(2) is divided by 5?
4
Suppose -4*j - m = -2*m - 419, 308 = 3*j - 2*m. Let d = j + -60. Calculate the remainder when d is divided by 16.
14
Let z = 7 + 18. Calculate the remainder when 73 is divided by z.
23
Suppose -3*m + 6*m = -4*s + 30, -2*m + 4 = 0. Suppose s*f - 5*q = f + 70, -4*q = -2*f + 36. Let z = 33 + -15. What is the remainder when z is divided by f?
8
Let k be -3*(-1 + 1 + -1). Let a(c) = -145*c - 2. Let o be a(1). What is the remainder when (1/k)/((-1)/o) is divided by 17?
15
Let f = 15 - 23. Calculate the remainder when 15 is divided by (-8)/6*(f + 2).
7
Let g be 35/10*(2 + 144). What is the remainder when 68 is divided by g/28 - (-1)/(-4)?
14
Let s = 14 - -34. Calculate the remainder when -1 + 1 + -2 + s is divided by 16.
14
Let i = 5 + 1. Calculate the remainder when i is divided by (-10)/(-4)*(-48)/(-40).
0
Let v = -9 + 15. Calculate the remainder when 28 is divided by v.
4
Suppose 0*n - 4 = -n. Suppose 2*h - 22 = -n. What is the remainder when 35 is divided by h?
8
Let m = 6 + -1. Suppose d = 2*d - m. Calculate the remainder when 17 is divided by d.
2
Suppose 3*f + 16 = 40. Suppose 0 = -6*h + 4*h - p + 13, 5*h = 4*p + 13. Suppose 0*o - 70 = -h*y + 3*o, o = 0. What is the remainder when y is divided by f?
6
Let w = 0 - -3. Suppose -2*u = u - 60. Suppose -4*t = t - u. What is the remainder when t is divided by w?
1
Let a = 77 - 35. Suppose 0 = -2*p + 3*j + 29, -3*j + 64 = 2*p + j. What is the remainder when a is divided by p?
20
Calculate the remainder when 85 is divided by 1/(-4)*-174 + (-1)/2.
42
Let b(j) = -j**2 - 7*j. What is the remainder when (12 + -10)/(4/46) is divided by b(-4)?
11
Calculate the remainder when 12 is divided by ((-2)/6)/(2/(-42)).
5
Let u(z) = -2*z - 14. Let r be u(-8). Let s(n) = 15*n - 2. What is the remainder when 82 is divided by s(r)?
26
Let q(z) = 8*z. Calculate the remainder when 62 is divided by q(2).
14
Suppose -3*h - 8 = -4*p - 5*h, 8 = -4*h. Suppose 72 = -0*k + p*k. Suppose o = -0*o + k. Calculate the remainder when o is divided by 13.
11
Suppose 21*p - 88*p = -1139. Calculate the remainder when 67 - 1 - (1 - 2) is divided by p.
16
Suppose -62 = -4*r + 14. What is the remainder when 73 is divided by r?
16
Suppose -2*g = -5*f - 11, -g - 2*f = 2*f + 1. Let z(c) = c**3 + 4*c**2 - 6*c + 3. Let i = 1 + -6. What is the remainder when z(i) is divided by g?
2
Calculate the remainder when -2*(-4)/((-16)/(-10)) is divided by 1.
0
Suppose -5*d - 255 = -3*n - n, 0 = -n - d + 57. Calculate the remainder when n is divided by 16.
12
Let r(i) = 3*i**2 + 2*i. Let q be (1/2)/((-2)/(-136)). Suppose -4*o - 14 + 1 = -v, 4*v + 2*o - q = 0. What is the remainder when r(2) is divided by v?
7
Suppose 4*m - 2*m + 2 = 0. Let n(z) = 12*z**2 + 2*z + 1. Let y be n(m). Let p = 19 + y. What is the remainder when p is divided by 16?
14
Suppose 0*q + q - 3 = 0. Let a = q - -1. What is the remainder when 1 + 2/(-2) - -6 is divided by a?
2
Let g(d) be the third derivative of -d**5/30 - d**4/24 + d**2. Let f be g(-1). Calculate the remainder when f + 2 - (-3 - 1) is divided by 3.
2
Let n(s) = s**3 - 14*s**2 - 12*s - 17. Let u be n(15). Suppose -5*d + y + u = -18, -4*y = -5*d + 34. What is the remainder when d is divided by 3?
1
Suppose -a + 4*a - 9 = 0. Suppose -4*j - z + a*z = -28, 2*j - 14 = -4*z. What is the remainder when (52/10)/1*5 is divided by j?
5
Suppose -8 = -5*x + 2. Suppose -14 = 3*v - 4*v + x*h, -v + 2 = -5*h. What is the remainder when 42 is divided by v?
20
Let v(q) = -q**3 - 11*q**2 - 9*q + 18. What is the remainder when 23 is divided by v(-10)?
7
Suppose -3*h + 97 = -2*h. Let v be (2 - (h + 3))/(-1). Calculate the remainder when 49 is divided by (-4)/(-6) - v/(-6).
15
Suppose -28 = 26*l - 28*l. Calculate the remainder when l is divided by 4.
2
Let l(r) be the first derivative of 2*r**3/3 - r**2 + r + 1. Suppose -126*z + 57 = -123*z. What is the remainder when z is divided by l(2)?
4
Suppose -x - 3*x = -8. Calculate the remainder when x is divided by 2.
0
Suppose 4*a = 13*a - 18. Calculate the remainder when 7 is divided by a.
1
Let s(v) be the third derivative of -3*v**2 + 0 - 1/24*v**4 + 3/2*v**3 + 0*v - 1/60*v**5. Calculate the remainder when 25 is divided by s(0).
7
Let u be 2 - 1 - (-1 + 0). Suppose u*g - 16 = -2*g. What is the remainder when g is divided by 4 + -3 - 0 - (-2 - 0)?
1
Let m(k) = 11*k**2 - k - 1. Calculate the remainder when 53 is divided by m(-1).
9
Let r be 19/1 + (1 - 4). Suppose -19 = -v + r. What is the remainder when v is divided by 19?
16
Suppose 0 = b - 3 + 17. Let j = b - -24. What is the remainder when (54/(-10))/(2 - (-69)/(-30)) is divided by j?
8
Let v(r) = 5*r**3 - 2*r**2 + 2*r - 1. Let z be v(1). Let o = 16 + z. What is the remainder when (-112)/(-3) + (-1)/3 is divided by o?
17
Let u be 5*((-36)/(-15) - 0). What is the remainder when 5 is divided by (-4)/u*(-2 - 7)?
2
Suppose 2*x + 2 - 10 = 0. Suppose -x = -0*w - w. Suppose 12 = q +
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(17) - 2*sqrt(1700)) + 1*1*sqrt(17)).
-6*sqrt(17) + 281
Simplify (-5 + (sqrt(75) + -2 + sqrt(75) - sqrt(75)))**2.
-70*sqrt(3) + 124
Simplify ((-1*sqrt(330))/sqrt(6))/sqrt(5).
-sqrt(11)
Simplify (-2*(sqrt(605) + 1 + sqrt(605) + 3))**2.
704*sqrt(5) + 9744
Simplify sqrt(24)/(sqrt(24)/sqrt(2)) + sqrt(2) + sqrt(200).
12*sqrt(2)
Simplify -4 + 6*sqrt(304) + (sqrt(76) + -1*sqrt(76) + sqrt(19))**2.
15 + 24*sqrt(19)
Simplify (-5*((sqrt(24)*1)/sqrt(8) + sqrt(3) - (sqrt(3) - (sqrt(243) + -1))))**2.
-500*sqrt(3) + 7525
Simplify ((sqrt(88) + (sqrt(88) + sqrt(88)*2)*1 - sqrt(88)) + sqrt(88))/(sqrt(32)*1).
2*sqrt(11)
Simplify (sqrt(3) + sqrt(3) + sqrt(864)/sqrt(2))**2 + sqrt(3) + (sqrt(75)*-1)**2.
sqrt(3) + 663
Simplify (sqrt(384)*-1)/(sqrt(15)/(sqrt(25)/sqrt(5))).
-8*sqrt(2)
Simplify 6*(sqrt(2420) - (-1 + sqrt(2420)))**2.
6
Simplify 5 + -2*sqrt(2)*-3.
5 + 6*sqrt(2)
Simplify -3 + -2*sqrt(52) + -5.
-4*sqrt(13) - 8
Simplify (sqrt(3) + 0)*-4 + 3.
-4*sqrt(3) + 3
Simplify 2 + sqrt(360)/sqrt(2).
2 + 6*sqrt(5)
Simplify (sqrt(1400)*-1)/sqrt(7).
-10*sqrt(2)
Simplify (2 + 1*sqrt(605) + -1)**2.
22*sqrt(5) + 606
Simplify -3*(sqrt(500) - (sqrt(500) - (sqrt(500) + 0)))**2.
-1500
Simplify ((sqrt(95) + (sqrt(95) - sqrt(95)*1 - sqrt(95))*6 + sqrt(95))/(sqrt(880)/sqrt(11) + sqrt(5)))**2.
304/25
Simplify (sqrt(1100) + 0 + -2)**2.
-40*sqrt(11) + 1104
Simplify sqrt(16)/(sqrt(8)*-2 - sqrt(8))*-2.
2*sqrt(2)/3
Simplify (-3*(1 + sqrt(304) - sqrt(304)))**2.
9
Simplify 3 + 1*sqrt(468).
3 + 6*sqrt(13)
Simplify ((sqrt(3) + -1 + 3)*1)**2.
4*sqrt(3) + 7
Simplify (-5*(sqrt(25)/sqrt(5) + 1))**2.
50*sqrt(5) + 150
Simplify ((sqrt(136) + -2*sqrt(136)*4)/(sqrt(24)/sqrt(12)))**2.
3332
Simplify (sqrt(99) + sqrt(99) + -5*sqrt(99)*1)/sqrt(9) + -2.
-3*sqrt(11) - 2
Simplify (sqrt(1872) - (0 + sqrt(1872)))**2 + -4 + sqrt(1872).
-4 + 12*sqrt(13)
Simplify (-3 + sqrt(99) + -1)**2.
-24*sqrt(11) + 115
Simplify -5*(-5 + (sqrt(21)/sqrt(3) + sqrt(7))**2) + -2.
-117
Simplify -4 + (2 + (sqrt(1872) + 3)**2 - sqrt(1872)).
60*sqrt(13) + 1879
Simplify (4*(sqrt(500) - (sqrt(500) + -2)))**2*5.
320
Simplify sqrt(21)/(5*sqrt(12)/sqrt(4)).
sqrt(7)/5
Simplify 3 + sqrt(7) + 1 + sqrt(847).
4 + 12*sqrt(7)
Simplify (-4*-6*(0 + sqrt(128)))**2.
73728
Simplify 2*(sqrt(102)/sqrt(6)*-3 - -1*sqrt(1088)).
10*sqrt(17)
Simplify ((sqrt(392)/sqrt(200) + sqrt(49))/(sqrt(77)/(-1*sqrt(11))))**2.
252/25
Simplify ((-1*sqrt(720))/sqrt(12) + sqrt(60))/sqrt(12).
0
Simplify (-2 + 1 + sqrt(637) + sqrt(13))**2 + (sqrt(1300)*-2)**2 + -4.
-16*sqrt(13) + 6029
Simplify (sqrt(272) - (sqrt(272) - (1*sqrt(272) + sqrt(272))**2)) + -2.
1086
Simplify 4*(-1 + sqrt(396))**2*-3*-2.
-288*sqrt(11) + 9528
Simplify 3 + ((sqrt(325) + 0)**2 - 3*sqrt(325)).
-15*sqrt(13) + 328
Simplify (sqrt(33) - sqrt(198)/(sqrt(18)/sqrt(3)))/sqrt(11).
0
Simplify 3 + -4 + sqrt(5)*-2.
-2*sqrt(5) - 1
Simplify -4 + -5 + -2*(1 + sqrt(2736)).
-24*sqrt(19) - 11
Simplify ((sqrt(500)*1 + sqrt(500) + sqrt(500))/sqrt(10))/sqrt(10).
3*sqrt(5)
Simplify 1*(1 + (sqrt(17) - sqrt(68)/sqrt(4))).
1
Simplify (sqrt(22)/(sqrt(2)*2*4))**2.
11/64
Simplify 6*(sqrt(3) - (sqrt(3) - ((sqrt(18) - 1*sqrt(18)) + sqrt(18))/sqrt(6))**2).
6*sqrt(3)
Simplify (sqrt(21)/(sqrt(3) - (-2*sqrt(3) + sqrt(3))) + 0 + 5)**2.
5*sqrt(7) + 107/4
Simplify 2 + -1*sqrt(17) + -2 + (sqrt(272) + -4)*6.
-24 + 23*sqrt(17)
Simplify sqrt(24)/(sqrt(36)/sqrt(3) + sqrt(12)) - sqrt(10)/(-2*sqrt(5)).
sqrt(2)
Simplify (-6*4*sqrt(1900))**2.
1094400
Simplify 0 + (sqrt(33)*-3)/sqrt(3).
-3*sqrt(11)
Simplify -2*sqrt(475)*-2.
20*sqrt(19)
Simplify (sqrt(156) + (sqrt(156) - (sqrt(156) - (sqrt(156)*-3 - sqrt(156)))) + sqrt(156))/sqrt(12) + (2*sqrt(143))/sqrt(11).
0
Simplify (3 + 2*sqrt(1700))**2.
120*sqrt(17) + 6809
Simplify 5*(2 + sqrt(7) + -2).
5*sqrt(7)
Simplify (-6*1*sqrt(1331)*2)**2.
191664
Simplify (sqrt(143) + -5*(sqrt(143) + sqrt(143)*-2 + sqrt(143)) - sqrt(143) - sqrt(143) - sqrt(143))/(sqrt(77)/(sqrt(7)*-2) - sqrt(11)).
4*sqrt(13)/3
Simplify -1 + (-1 + sqrt(1900) + -1 - sqrt(1900)).
-3
Simplify sqrt(272) + 5 + 2 + sqrt(272) + sqrt(272).
7 + 12*sqrt(17)
Simplify (sqrt(220)/sqrt(275))/(sqrt(4) + (sqrt(4) - sqrt(28)/sqrt(175))).
sqrt(5)/9
Simplify (-2*(sqrt(242) + sqrt(242) + 2 + 1))**2.
528*sqrt(2) + 3908
Simplify ((sqrt(1700) + 0 - sqrt(34)/sqrt(2)*-5)*-3)**2.
34425
Simplify 3 + (0 + sqrt(1008))**2.
1011
Simplify (((sqrt(140) - 2*sqrt(140)) + sqrt(140))/sqrt(7))/(sqrt(1210) + sqrt(1210)*-3 + sqrt(1210)).
0
Simplify (sqrt(189)*-3 - sqrt(21))/(sqrt(3) - (sqrt(3) + sqrt(3) + -4*sqrt(27) + sqrt(3) - sqrt(3))).
-10*sqrt(7)/11
Simplify (sqrt(180)/(-2*sqrt(12) - sqrt(12)))/(3*(sqrt(12) - sqrt(3))).
-sqrt(5)/9
Simplify (sqrt(8) - sqrt(8)*4)/sqrt(4) + -1 + sqrt(6)/sqrt(3).
-2*sqrt(2) - 1
Simplify -4 + sqrt(66)/((sqrt(66)*-2)/sqrt(11)).
-4 - sqrt(11)/2
Simplify (sqrt(33)/sqrt(3)*3 + sqrt(539) + -1)**2.
-20*sqrt(11) + 1101
Simplify sqrt(18)/(sqrt(27)/sqrt(3)) + 0.
sqrt(2)
Simplify (sqrt(495)/(sqrt(27)/sqrt(3)))/(sqrt(55)/(sqrt(5)*2)).
2*sqrt(5)
Simplify -5*(sqrt(700) + sqrt(700) + -2*sqrt(700)*1) + 2.
2
Simplify (sqrt(144)/(2*sqrt(4)))/sqrt(12)*-6.
-3*sqrt(3)
Simplify 5 + sqrt(13) + (3*sqrt(91))/sqrt(7).
5 + 4*sqrt(13)
Simplify ((sqrt(171) + (sqrt(171)*-1 - sqrt(171)))*-5 - sqrt(171) - sqrt(171))**2.
1539
Simplify 4*(0 + sqrt(78)/sqrt(24)).
2*sqrt(13)
Simplify -2 + ((-1*(1 + sqrt(13) + sqrt(13)))**2 - sqrt(13)).
3*sqrt(13) + 51
Simplify (-2*sqrt(143)*-4)/(sqrt(891) - 2*sqrt(891)).
-8*sqrt(13)/9
Simplify -4 + (sqrt(304) - -6*2*sqrt(304)).
-4 + 52*sqrt(19)
Simplify (sqrt(12) + sqrt(96)/sqrt(8)*-2)/sqrt(4).
-sqrt(3)
Simplify 3 + sqrt(63) + -4 + sqrt(112)*-1 + sqrt(112).
-1 + 3*sqrt(7)
Simplify (1*sqrt(33))/sqrt(3) - (sqrt(704) + 1).
-7*sqrt(11) - 1
Simplify (sqrt(102)/(sqrt(2)*-2))/(4*1*sqrt(3)).
-sqrt(17)/8
Simplify (4*(1*sqrt(2) - sqrt(2)) + sqrt(36)/sqrt(2) + sqrt(2))*2.
8*sqrt(2)
Simplify (sqrt(30)/sqrt(3))/sqrt(5) + sqrt(2) + 5.
2*sqrt(2) + 5
Simplify sqrt(18)/(1*sqrt(600)) + -3.
-3 + sqrt(3)/10
Simplify -3 + sqrt(7)*-2 + (sqrt(77) + 1*sqrt(77) - sqrt(77) - sqrt(77))/sqrt(11).
-2*sqrt(7) - 3
Simplify sqrt(171) + -4 + sqrt(304) + sqrt(304)*-3 + sqrt(19).
-4*sqrt(19) - 4
Simplify ((sqrt(136) + -2*sqrt(136)*5 - sqrt(136))/sqrt(8))**2.
1700
Simplify ((-2*-1*sqrt(95) - sqrt(95)) + sqrt(95) - sqrt(95) - sqrt(95))/(-5*(1*sqrt(5) + sqrt(5)) - sqrt(5)).
0
Simplify sqrt(72)*1*-4.
-24*sqrt(2)
Simplify -1*((4 + (sqrt(2) - sqrt(162)) + sqrt(2) - sqrt(2)) + -4).
8*sqrt(2)
Simplify sqrt(931) - (6*(sqrt(931) + sqrt(931) + 2))**2.
-134208 - 2009*sqrt(19)
Simplify (sqrt(2) - sqrt(12)/sqrt(6)*2) + -2 + -3.
-5 - sqrt(2)
Simplify (sqrt(1377)*-2 + -2)**2.
72*sqrt(17) + 5512
Simplify (sqrt(325) + sqrt(325)*2)*-5 + ((sqrt(325)*1)**2*-3 - sqrt(325)).
-975 - 80*sqrt(13)
Simplify (6*sqrt(1408)/sqrt(2))**2.
25344
Simplify ((sqrt(19) - (sqrt(2736) - sqrt(2736)*-5)) + 0)**2.
95779
Simplify -1*(-4 + (sqrt(12)/sqrt(4) - sqrt(3))).
4
Simplify ((sqrt(84) + sqrt(84)*-1)*-6)/(-2*sqrt(588)).
0
Simplify (sqrt(605)*1 + -2 - sqrt(605))**2 - ((sqrt(605) - (1*sqrt(605))**2) + -2).
-11*sqrt(5) + 611
Simplify (sqrt(121) - 1*sqrt(121)*-1)/(sqrt(396) + sqrt(396)*-2).
-sqrt(11)/3
Simplify (1*(sqrt(2) + sqrt(10)/sqrt(5)) + sqrt(2) + sqrt(12)/(sqrt(6) - sqrt(6)*5))**2.
121/8
Simplify (sqrt(63) + sqrt(7))*-1 + 1.
-4*sqrt(7) + 1
Simplify (sqrt(50) - (sqrt(300) + sqrt(300)*1 + sqrt(300) + sqrt(300))/sqrt(6))/(sqrt(60)/sqrt(96)).
-12*sqrt(5)
Simplify ((sqrt(55) - sqrt(110)/sqrt(2)*2)/((sqrt(220)/sqrt(5))/sqrt(4)))**2.
5
Simplify (-1 + -2 + sqrt(19))*1.
-3 + sqrt(19)
Simplify 5*-1*sqrt(7) + -3.
-5*sqrt(7) - 3
Simplify 4*((-3*(sqrt(2) + 1))**2 + (sqrt(48)/sqrt(2))/sqrt(12)).
76*sqrt(2) + 108
Simplify -6*(sqrt(147) + -3 - sqrt(147))*6.
108
Simplify (-1*sqrt(119)*2)/(sqrt(140)/sqrt(5)).
-sqrt(17)
Simplify ((sqrt(272) + 1)*-3 - (sqrt(272) - (sqrt(272)*-1 + sqrt(272))*-2))**2.
96*sqrt(17) + 4361
Simplify (3*-2*sqrt(2) + sqrt(2))**2 + (sqrt(2) - (sqrt(2) + -2 + 0)**2).
5*sqrt(2) + 44
Simplify -4*(-4 + sqrt(14)/sqrt(7))*-1.
-16 + 4*sqrt(2)
Simplify sqrt(162) + (sqrt(162) - (sqrt(162) - (1 + sqrt(162)))**2*2) + sqrt(162).
-2 + 27*sqrt(2)
Simplify (sqrt(117)/sqrt(9))**2 + 5 + 5*sqrt(468).
18 + 30*sqrt(13)
Simplify (sqrt(152) - 2*sqrt(152)*2 - sqrt(152))/(sqrt(88)/(sqrt(33)/sqrt(3))).
-4*sqrt(19)
Simplify 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
and 30246?
151230
Find the common denominator of 45/296 and -89/526.
77848
What is the common denominator of -55/14028 and 139/23380?
70140
What is the lowest common multiple of 11288 and 4?
11288
Calculate the smallest common multiple of 777 and 1593.
412587
What is the common denominator of -161/5412 and 76/759033?
3036132
What is the least common multiple of 84271 and 46618?
2191046
What is the common denominator of 8/6525 and -47/198?
143550
What is the least common multiple of 76194 and 153?
76194
What is the smallest common multiple of 112 and 11512?
161168
Calculate the least common multiple of 12960 and 1620.
12960
Calculate the common denominator of 59/5724 and -65/1431.
5724
Calculate the smallest common multiple of 60 and 653790.
1307580
What is the least common multiple of 7125 and 50?
14250
What is the common denominator of 57/236 and -33/4436?
261724
What is the lowest common multiple of 364793 and 1001?
2553551
Calculate the least common multiple of 19586 and 12591.
176274
Find the common denominator of 35/11502 and 77/162.
11502
What is the smallest common multiple of 2117986 and 4823?
14825902
Calculate the common denominator of 31/45 and -43/40925.
368325
Calculate the lowest common multiple of 938 and 98.
6566
Calculate the lowest common multiple of 150 and 31305.
313050
Find the common denominator of -73/550186 and -71/260.
5501860
What is the smallest common multiple of 1836 and 26568?
451656
Calculate the common denominator of 149/2988 and 41/36.
2988
What is the common denominator of -121/120 and -17/106944?
534720
Find the common denominator of -55/9612 and 25/171948.
1547532
Find the common denominator of -9/31283 and 72/3815.
156415
Calculate the smallest common multiple of 96 and 16416.
16416
Calculate the least common multiple of 2296 and 149568.
1046976
Find the common denominator of 64/135 and 67/7047.
35235
Calculate the common denominator of -101/576 and -133/24768.
24768
Find the common denominator of 79/129344 and -19/470.
646720
What is the common denominator of 149/417906 and 23/54?
417906
Calculate the least common multiple of 719442 and 879318.
7913862
Calculate the smallest common multiple of 768534 and 59118.
768534
Find the common denominator of -29/19 and -4/6621.
125799
What is the common denominator of 113/5412 and 11/84?
37884
Calculate the common denominator of 123/567160 and 37/412480.
4537280
Calculate the lowest common multiple of 123344 and 54.
3330288
What is the smallest common multiple of 3663 and 891?
32967
What is the least common multiple of 22890 and 11?
251790
Calculate the smallest common multiple of 5083 and 376142.
376142
What is the least common multiple of 20580 and 1029?
20580
Calculate the least common multiple of 17170 and 72114.
360570
What is the common denominator of 6/5 and 31/100044?
500220
Calculate the common denominator of -41/8816 and 70/171.
79344
Calculate the least common multiple of 1456 and 11024.
77168
What is the smallest common multiple of 533664 and 480?
2668320
What is the least common multiple of 88 and 196?
4312
What is the common denominator of -14/74553 and -47/6?
149106
Find the common denominator of 58/685 and 61/1645.
225365
Find the common denominator of -89/195 and -67/98595.
1281735
What is the lowest common multiple of 4408 and 26?
57304
Find the common denominator of -59/46731 and -1/222.
93462
What is the least common multiple of 17802 and 4002?
516258
What is the least common multiple of 237478 and 10?
1187390
Calculate the common denominator of 9/160 and 107/16680.
66720
What is the lowest common multiple of 23163 and 1194?
9218874
What is the common denominator of -117/14 and 67/3854?
26978
Calculate the lowest common multiple of 21 and 59272.
1244712
Calculate the least common multiple of 66 and 65085.
1431870
Calculate the common denominator of 39/16 and -119/255970.
2047760
Calculate the least common multiple of 9384 and 231.
722568
Calculate the smallest common multiple of 42849 and 14283.
42849
What is the least common multiple of 4624 and 2176?
36992
Calculate the common denominator of -67/18050 and -173/17100.
324900
Find the common denominator of 19/349614 and 47/271922.
2447298
Find the common denominator of 53/896 and 5/53984.
215936
Find the common denominator of 47/24763 and 14/15.
371445
Calculate the smallest common multiple of 33756 and 870.
168780
Calculate the lowest common multiple of 4614 and 656726.
1970178
What is the lowest common multiple of 3183 and 306?
324666
What is the lowest common multiple of 180 and 4182?
125460
What is the smallest common multiple of 354 and 535248?
535248
Find the common denominator of 73/2188 and -47/72.
39384
Calculate the common denominator of -97/13230 and -181/15120.
105840
What is the common denominator of 37/12 and 70/657?
2628
What is the common denominator of 13/1900 and 197/5700?
5700
What is the common denominator of -199/2340 and 23/109980?
109980
Find the common denominator of -52/25461 and -50/27.
25461
What is the common denominator of -1/44304 and -121/103376?
310128
Find the common denominator of 11/2604 and -101/10416.
10416
Calculate the lowest common multiple of 232105 and 41855.
2553155
Find the common denominator of 193/270480 and 75/784.
270480
Find the common denominator of 3/95591 and 87/44984.
764728
Calculate the least common multiple of 34344 and 4240.
343440
What is the least common multiple of 218 and 252?
27468
What is the common denominator of -93/3238738 and 53/18?
29148642
Calculate the lowest common multiple of 80 and 10360.
20720
Calculate the common denominator of -103/30 and -43/25599.
255990
Calculate the lowest common multiple of 818 and 31.
25358
What is the least common multiple of 45045 and 351?
135135
Find the common denominator of -121/558 and 65/3162.
9486
What is the common denominator of 16/117 and 5/27703?
249327
What is the least common multiple of 40161 and 102228?
1124508
What is the least common multiple of 18 and 11418?
34254
Calculate the common denominator of 95/1772 and -59/38.
33668
Calculate the smallest common multiple of 35703 and 207.
821169
What is the common denominator of 1/390 and 44/29965?
179790
What is the smallest common multiple of 406 and 4988?
34916
What is the smallest common multiple of 222 and 25?
5550
What is the lowest common multiple of 35 and 791030?
5537210
What is the common denominator of 93/2912 and 149/16848?
235872
Find the common denominator of 25/760987 and 99/2.
1521974
What is the common denominator of -107/286 and -17/18538?
203918
Find the common denominator of -131/2166 and -27/80864.
242592
What is the least common multiple of 37620 and 72?
75240
What is the lowest common multiple of 2132 and 572?
23452
Calculate the common denominator of -21/3110 and -121/6.
9330
Find the common denominator of 29/2 and 11/55500.
55500
Calculate the common denominator of -103/1190 and -127/120.
14280
What is the smallest common multiple of 142520 and 290130?
8123640
What is the common denominator of -47/144256 and -67/4508?
144256
What is the smallest common multiple of 195525 and 231075?
2541825
Calculate the common denominator of 79/72 and -109/171684.
343368
Calculate the lowest common multiple of 34509 and 33.
379599
Find the common denominator of 19/17838 and 11/18.
17838
Find the common denominator of 75/1542784 and 149/34032.
4628352
Find the common denominator of 13/366300 and 191/24750.
1831500
Calculate the common denominator of -63/867416 and -115/1892544.
20817984
What is the common denominator of 111/100 and 101/15680?
78400
Calculate the lowest common multiple of 5160 and 4644.
46440
Find the common denominator of 13/16704 and -55/12528.
50112
Calculate the common denominator of -103/448800 and -155/66.
448800
Find the common denominator of 1/35061 and -37/377.
35061
Find the common denominator of -34/783 and -71/2349.
2349
Find the common denominator of -133/54 and 127/5520.
49680
Calculate the least common multiple of 241608 and 99.
7973064
Calculate the common denominator of 115/6 and -77/1146318.
1146318
Calculate the lowest common multiple of 456544 and 186768.
4108896
Calculate the least common multiple of 498720 and 480.
498720
What is the common denominator of -43/39655 and -60/43981?
2418955
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*u = 238. Let g = u + z. Is g a multiple of 19?
True
Let x = -16 - -33. Suppose 3*f = 2*f + x. Does 9 divide f?
False
Let w(g) = 14*g - 5. Let c(y) = -y**3 - 13*y**2 - 12*y + 3. Let z be c(-12). Is 24 a factor of w(z)?
False
Let o = -11 - 10. Let i = 2 - -49. Let a = o + i. Is 15 a factor of a?
True
Suppose 0 = -3*t - 4*h + 487, h - 332 = -2*t + 2*h. Is t a multiple of 46?
False
Let b = -29 - -35. Is b a multiple of 3?
True
Suppose 5*z - 7 = -j - 2*j, 0 = -5*z - 5. Let v(c) = c**3 - 3*c**2 - 3*c + 2. Is v(j) a multiple of 3?
True
Suppose -2*r + 36 = r. Let c = r - -19. Is 14 a factor of c?
False
Suppose -5*h + 126 + 229 = 0. Is h a multiple of 16?
False
Let j(v) = -v + 7. Let l(p) = -2*p**2 + 6*p - 1. Let i be l(4). Let r be (-2)/i + (-188)/36. Is j(r) a multiple of 5?
False
Let m(i) = 51*i**2. Let d be m(1). Suppose 0*r - d = -r. Suppose 3*v - 22 = -4*l + r, v + 115 = 5*l. Is l a multiple of 11?
True
Let r be (-4)/(-2)*(-9)/(-2). Suppose f + r = -2*f. Let h(q) = q**3 + 8*q**2 + 5*q + 4. Is 15 a factor of h(f)?
False
Let c(r) = -r**3 - 3*r**2 - r - 1. Let n be c(-5). Suppose -k - 3*k = -4*l - 248, -l - k = n. Let i = 88 + l. Is 13 a factor of i?
False
Let h = 5 - 2. Suppose 2*x - 4 = 4*m, -6 = m + 4*m - h*x. Let t(v) = v**2 - v + 2. Is t(m) even?
True
Let s(k) = -k**2 + 4*k + 5. Let w be s(6). Let i(b) be the second derivative of b**5/20 + 2*b**4/3 + b**3/3 - 3*b**2 + 2*b. Is 16 a factor of i(w)?
False
Let r(k) = k**3 + 6*k**2 + 5*k. Let w be r(-5). Suppose -5*f + 210 = 3*v - 0*v, w = -f - v + 40. Suppose -5*g + 2*g = -f. Does 15 divide g?
True
Let s(x) = 16*x + 1. Let k be 3/9 - (-1)/(-3). Let o be k + -2 + 1 - -2. Does 13 divide s(o)?
False
Let j(d) = -15*d - 6. Let r be j(-7). Let m = 221 - r. Suppose -m = -4*x - 2. Does 15 divide x?
True
Suppose -3*h + 8 = h. Suppose 3*u - 31 = -b, -3*u + 2*u = 3*b - 101. Suppose b = h*r - r. Is 17 a factor of r?
True
Suppose 0 = 4*x + 2*m - 148, 4*x + 13 = -3*m + 165. Suppose -1 = u - x. Suppose -4*g + 5*t + u = -18, -2*g = 2*t - 26. Is 5 a factor of g?
False
Let q(f) = 7*f**2 + 27*f + 21. Let p(u) = 4*u**2 + 14*u + 11. Let i(o) = 5*p(o) - 3*q(o). Is 15 a factor of i(-7)?
False
Suppose c = -3 - 2, -2*c - 15 = -r. Suppose -17 + r = -3*l. Is l a multiple of 4?
True
Suppose 4*o + q - 18 = 0, 7*o - 3*o = -4*q + 12. Let t = o + -5. Suppose 2*n + c = -t*c + 65, 3*c + 135 = 5*n. Does 15 divide n?
True
Let a(v) = -v**3 - 2*v**2 + 2*v. Let t be a(-3). Let y(x) = 4*x**2 - 2 - 1 - 5*x**t + 4*x**3 - 3 + 7*x. Does 11 divide y(4)?
True
Suppose 3*h - 21 = 2*h. Let i = 6 + h. Let j = i + -12. Is j a multiple of 4?
False
Suppose -2*t - 5*r = -103 - 84, -5*t = -2*r - 424. Let u = t - 39. Suppose 4*v = -n + 4*n - u, 5*v - 56 = -3*n. Does 11 divide n?
False
Let i(t) = -2*t**3 - 2*t**2 + 3*t + 3. Let v be i(-2). Let y = v + -7. Let g = 8 - y. Is 10 a factor of g?
True
Let v(s) = 2*s**2 + s. Let l be v(1). Suppose -4*c - m = 33, 3*c + l*m = 6*m - 36. Does 4 divide ((-24)/c)/(1/3)?
True
Suppose 0 = -r + 4 - 63. Let m = -2 - r. Does 19 divide m?
True
Let k = 8 - 11. Let j = -1 - k. Is j a multiple of 2?
True
Let b be ((-73)/2)/((-1)/4). Suppose -3*l = 2*l - 2*u - b, 2*u + 90 = 3*l. Is 14 a factor of l?
True
Does 6 divide 9/(-63) + (-478)/(-14)?
False
Let q(n) = -2*n + 2. Let r be q(-3). Suppose -p - 4*o = -2*p - 8, 5*p - r = 4*o. Suppose 102 = p*u + 42. Is 15 a factor of u?
True
Suppose 0 = 5*g + 4*z - 17 - 22, -g - 4*z = -11. Is g - 1 - (0 - -1) a multiple of 5?
True
Let a be 2 + (-2 - 2) - -15. Let u = 18 - a. Does 5 divide u?
True
Let q be (-12)/(-5) - (-2)/(-5). Let h be (-1 + 3)/((-4)/(-184)). Suppose 5*c + q = h. Does 8 divide c?
False
Let g = -2 + 2. Let w be 2/((-16)/(-6) + -2). Suppose g*p + w*p = 0, 0 = 5*i + 5*p - 195. Is 17 a factor of i?
False
Suppose 5*b = 7*b - 118. Is b a multiple of 3?
False
Is 45 a factor of -6*3*(-10)/1?
True
Suppose 0*x = -2*x + 2*k, -3*k + 3 = -2*x. Suppose x*s + 256 = 7*s. Is 16 a factor of s?
True
Let j(i) = i**2 - 12*i - 5. Let v be j(12). Let n(c) = c**3 + 5*c**2 - 4*c. Is n(v) a multiple of 10?
True
Is (9/(-2))/(12/(-16)) a multiple of 5?
False
Is (-3 + 12)/(-3) - -25 a multiple of 12?
False
Let f(k) = -10*k - 1. Let t be f(-1). Let x = 10 + -6. Suppose 73 = x*h + t. Is 8 a factor of h?
True
Let k be (-7)/2*(-4)/(-2). Let x = k + 12. Suppose 3*i = -2*t + t - x, i = 3*t - 35. Does 4 divide t?
False
Let n(g) be the second derivative of g**3/6 + 5*g**2/2 - g. Let i = -6 + 13. Is 11 a factor of n(i)?
False
Let r = -7 + 25. Is 9 a factor of r?
True
Is 18 a factor of 290/8 + 10/(-40)?
True
Let t = -4 - -10. Suppose t*w = w + 90. Does 18 divide w?
True
Suppose 4*g - 1 = -3*z - 4, 4*z + 23 = g. Suppose g*v = 5*o - 14, -7 = 3*v - 3*o - 1. Suppose -w - 251 = -5*p - v*w, 5*p + 4*w = 254. Is p a multiple of 16?
False
Let j(r) = -4*r**3 - 2*r. Let x be j(2). Does 14 divide 8/x + (-580)/(-18)?
False
Suppose 2*g + 5*p - 43 = 0, p + 5 = -4*p. Is g a multiple of 18?
False
Let f(d) = -7*d + 55. Is f(-15) a multiple of 32?
True
Is (-13662)/(-243) - (0 - 2/(-9)) a multiple of 7?
True
Let j(w) = w**2 + 12*w + 41. Is j(-19) a multiple of 37?
False
Let k = 111 + -66. Is 13 a factor of k?
False
Let s = -60 - -141. Suppose -5*j - s = 189. Does 18 divide (2 - 0 - j) + -3?
False
Suppose 4*o + 245 - 85 = 0. Let q = o - -8. Does 12 divide (q/12)/((-2)/9)?
True
Let c(y) = y. Let x be c(5). Suppose 0 = -3*z + d - 8, -2*z - x*d + 0*d = 11. Let k(w) = w**2 + w - 4. Does 2 divide k(z)?
True
Suppose 16 = -4*q + 104. Suppose -3*y = -2*x - 25, 0 = -5*y + 3*x + 20 + q. Let k = y + -4. Is 5 a factor of k?
True
Let k = 63 + -32. Is 14 a factor of k?
False
Let k(u) be the first derivative of -25*u**4/4 - 2*u**3/3 + u**2/2 + 2. Let g(j) = 99*j**3 + 9*j**2 - 5*j. Let f(h) = 2*g(h) + 9*k(h). Does 14 divide f(-1)?
True
Let c = 8 + -16. Let k(j) = 8 - 4*j**2 + 5*j**2 - 2*j**2 - 8*j. Is k(c) a multiple of 4?
True
Let n be 1 - (1 + -3)*1. Suppose 2*c = -n*c + 15. Suppose -v - b = -5*b - 50, c*v = 3*b + 105. Is v a multiple of 10?
True
Let n = 10 - 14. Does 18 divide -1 - n/((-12)/(-63))?
False
Let a = 28 + -7. Does 5 divide a?
False
Let c(z) = 4*z**2 - 7 - 4*z**2 - z**3 + 2*z - z - 4*z**2. Is c(-5) a multiple of 13?
True
Let o(r) = -r**2 + 4*r - 7. Let v(z) = z**2 - 8*z + 15. Let j(a) = -5*o(a) - 2*v(a). Is 18 a factor of j(4)?
False
Is 1572/14 - (-2)/(-7) a multiple of 56?
True
Let c be (-25)/(-10) - (-3)/(-2). Is 15 a factor of (-27 - 3)/(-2*c)?
True
Let t be 1/((-2)/(-7 - -3)). Let h be 7/(-14) - (-77)/t. Suppose 4*n - h - 42 = 0. Is n a multiple of 14?
False
Let i be 2 + 1*(-2)/(-2). Let k be 24/9 - 8/12 - -42. Suppose -k = -i*m - m. Is 4 a factor of m?
False
Let i(a) = -a**3 - 4*a**2 - 4*a - 2. Let j be i(-2). Is (-10)/j - (-3 - -4) a multiple of 3?
False
Suppose 0 = -x + 2*h + 46, 3*x + 2*h - 102 = 20. Does 21 divide x?
True
Let c = -25 + 37. Is 4 a factor of 6/(-4)*(-64)/c?
True
Suppose 25 = -5*q + 5*n, -5*q - n - 3*n = -20. Suppose 3*z + o + 1 + q = 0, 3*o + 3 = z. Suppose z*a - 90 = -5*a. Is 7 a factor of a?
False
Suppose f - 3*f = -80. Let w = f + -22. Does 6 divide w?
True
Let l(v) = -1 + 7*v**3 + 3*v**2 - 2*v**3 - v**3 - v**2. Does 2 divide l(1)?
False
Let l be 160/(-3) + (-2)/3. Let o = -30 - l. Does 8 divide o?
True
Suppose -2*q - 24 = -0*q. Is (-4 - -1)*20/q a multiple of 2?
False
Does 9 divide (-1)/((-215)/210 - -1)?
False
Let f be 1/((-2 + 1)/(-2)). Suppose -7 - 3 = f*b. Let v = -2 - b. Is 2 a factor of v?
False
Suppose -d - t + 46 = -3*t, -t - 2 = 0. Does 16 divide d?
False
Is 7 a factor of 210/(-20)*(0 - 20/3)?
True
Let p(g) = 5*g + 8. Let c be p(6). Let j = c + -20. Does 5 divide j?
False
Let q(s) = 3*s - 1. Let t(a) = a + 4. Let r be t(-6). Let j be 1/(-1*(1 + r)). Is q(j) even?
True
Suppose 3*a - w - 23 = 0, 2*w - 8 = 2*a + 6*w. Is -4*1*a/(-3) a multiple of 5?
False
Suppose -3*j = 3*j - 1008. Is 56 a factor of j?
True
Let y(u) = 88*u - 3. Let d be y(2). Suppose -4*z + d = 25. Does 15 divide z?
False
Let u be 65/((-3)/12*-2). Let m = u + -78. Suppose -2*x + 0*x = -m. Is 13 a factor of x?
True
Is 39 a factor of ((-597)/6 + 2)/((-4)/8)?
True
Let f be ((-2)/(-3))/(4/42). Suppose -f = 2*n - 23. Does 3 divide n?
False
Let w = -20 + 33. Is w a multiple of 13?
True
Let w = -38 + 64. Is w a multiple of 4?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
hen j is divided by 4?
2
Suppose -143 = -4*v + 101. Let z = -39 + v. What is the remainder when 87 is divided by z?
21
What is the remainder when 65 is divided by 1 + (-44)/(-3 - -1)?
19
Suppose -28 = -2*f + 2*c, 10*f = 5*f - 3*c + 70. Let y(l) = -l**3 + 8*l**2 - 2*l - 6. What is the remainder when y(6) is divided by f?
12
Let n = 2 - -1. Suppose -5*u = 5*o - 25, u - n*u + 4 = o. Let l = o - -6. What is the remainder when 22 is divided by l?
10
Let o be 555/20 - 2/(-8). Suppose 0 = -k - k + o. What is the remainder when 55 is divided by k?
13
Let g(u) be the first derivative of u**3/3 - 2*u**2 - 2*u + 3. Calculate the remainder when g(6) is divided by (-836)/(-143) - (-2)/13.
4
Let o = -4 + 6. Suppose 0 = -3*q + o*q. Suppose q*v - 21 = -v - 4*x, 5*x - 60 = -5*v. What is the remainder when 26 is divided by v?
8
Suppose -2*z + 8*z = 18. What is the remainder when 18 is divided by z?
0
Let a be (0 - 22)*2/(-4). Let d = a - -29. Calculate the remainder when d is divided by 14.
12
Let y = -82 + -1. Let l = y - -121. What is the remainder when l is divided by 13?
12
Let n(o) be the first derivative of o**4/4 + 7*o**3/3 - 11*o**2/2 - o + 1. Calculate the remainder when n(-8) is divided by 6.
5
Let m be 4 + 0*(-1)/2. Let f be (4 - 1)*69/9. Suppose m*z - f = 25. What is the remainder when z is divided by 5?
2
Let h be 15/60 + (-17)/4. Calculate the remainder when 22 is divided by (h/2)/(6/(-24)).
6
Let s(d) = -d**2 + 4*d - 24 + 2*d - 5*d. Let j be s(0). Let f = -17 - j. What is the remainder when 19 is divided by f?
5
Suppose -82*v + 85*v = 303. Suppose 0 = 2*z + 16 - 68. Calculate the remainder when v is divided by z.
23
Let k(t) = t**3 + 8*t**2 + 7*t + 5. Let v be k(-6). Suppose 14 = -4*j + 6*j - 3*m, 5*m + v = 5*j. What is the remainder when 26 is divided by j?
5
Let v(s) = -12*s - 2. Suppose 0*m = -4*m - 8. Let u(k) = 2*k**2 + 5*k - 4. Calculate the remainder when v(m) is divided by u(-4).
6
Suppose 2*j + 44 = 3*y, 0 = 3*y + 3*j - 26 - 28. Let d(a) = a**2 + a + 9. Suppose 0*z = -5*z. What is the remainder when y is divided by d(z)?
7
Suppose -5*j = 3*b - 15 - 0, 2*j - 4*b - 6 = 0. Suppose -70 = -2*o + 4*v - 0*v, -3*o = -j*v - 117. What is the remainder when o is divided by 15?
13
Let h(u) = u**3 - 2*u**2 - 4*u + 11. Calculate the remainder when h(5) is divided by 23.
20
Suppose -2*x + h + 31 = 0, -3*x = -h - 4*h - 50. Let k = 0 - -39. Let m = k - 10. Calculate the remainder when m is divided by x.
14
Suppose i + 6 = 1. Let o(j) = 1 + 5*j - 3 - 6*j. What is the remainder when 8 is divided by o(i)?
2
Let l(t) = 4*t - 6. Let u be l(4). Suppose o - 3 = u. Calculate the remainder when 37 is divided by o.
11
Let i be ((-48)/(-15))/(2/10). Let n = i + -9. What is the remainder when 42 is divided by -33*(2 + n/(-3))?
9
Suppose -4*w = -51 - 81. What is the remainder when w is divided by 12?
9
Let g be 2 - 4 - 26*-4. Suppose 0 = 4*h - 62 - g. Calculate the remainder when h is divided by 14.
13
Suppose -f = -0*f + 4. Let s be -1*(0 - 5*f). Let d = -13 - s. What is the remainder when d is divided by 4?
3
Let b(j) = 4*j. Let o = 7 - 12. Let r be b(o). Calculate the remainder when 26 is divided by (-1)/4 + (-285)/r.
12
Let l(y) = y**3 + 17*y**2 - 19*y - 7. What is the remainder when 42 is divided by l(-18)?
9
Suppose -28 = -2*h - 8. Suppose 6 = 3*t - 96. What is the remainder when 3 is divided by (-8)/20 + t/h?
0
Let a(s) = 40*s + 4. Let b be a(-3). Let z = b - -163. What is the remainder when z is divided by 12?
11
Suppose 2 = -4*k + 14. Suppose 0*v - 18 = k*v. Let t = -4 - v. Calculate the remainder when t is divided by 2.
0
Let b(f) = -2*f + 5. Suppose 3*y - 144 = 3*t, 3*t - 5*t = -6. Calculate the remainder when y is divided by b(-4).
12
Suppose 0*m - 12 = -3*m. Suppose -x - 14 = -a, -1 = x + m*a + 3. Calculate the remainder when x/9*138/(-4) is divided by 16.
14
Let n(o) = -3*o - 14. Suppose q - 10 = 2*q. Calculate the remainder when 63 is divided by n(q).
15
Suppose -3*h + 44 = h. Calculate the remainder when 0*(-1)/(-2) + 30 is divided by h.
8
Let x(i) be the second derivative of -i**5/4 + i**3/6 - 2*i. Let g(m) = 2*m**2 - m + 1. What is the remainder when g(2) is divided by x(-1)?
3
Suppose -2*n + 2*a + 25 = -a, -2*a = -2*n + 30. What is the remainder when 39 is divided by n?
19
What is the remainder when -3*((-4 - -4) + -7) is divided by -11*(-3 + -1 + 3)?
10
Suppose 4*u = 0, r = u + 9 + 7. Calculate the remainder when r is divided by 6.
4
Let p = 36 + -13. Calculate the remainder when p is divided by (-580)/(-44) - 4/22.
10
Let f = 25 + -16. Let q(a) = 9*a**2 - 2. What is the remainder when q(2) is divided by f?
7
Suppose -2*c = -6*c + 84. What is the remainder when 82 is divided by c?
19
Let i be (28/6)/((-2)/(-3)). What is the remainder when 2/(-7) - (-100)/i is divided by 8?
6
Let i be (-53)/3 - 8/(-12). Suppose y = -2*m + 8, 2*y = 4*y - 4*m - 56. What is the remainder when 1 + (3 + -6)*i is divided by y?
16
Suppose 334 = 7*q - 730. What is the remainder when q is divided by 14?
12
Let c = 10 - 10. Suppose c = -j + 2 + 14. What is the remainder when 47 is divided by j?
15
Let j = 31 - -4. Suppose 4*u - j - 33 = 0. Calculate the remainder when 50 is divided by u.
16
Suppose -2*f + 2*u + 3*u = -50, -67 = -5*f - 2*u. What is the remainder when f is divided by 34/4 + (-1)/2?
7
Let y(f) = -f**3 + 5*f**2 + 1. Let s be y(5). Calculate the remainder when 45 is divided by (-23)/s*(0 - 1).
22
Let d be (-2)/(-9) + 25/9. Let c = d - -8. Calculate the remainder when 2520/55 - (-2)/c is divided by 12.
10
Let c(l) = 3*l - 7. Let j be c(3). Suppose j*x = 4*x - 26. What is the remainder when 286/8 - (-1)/4 is divided by x?
10
Suppose 0 = 5*n - 4 - 26. Suppose 3*y + n - 54 = 0. Calculate the remainder when y is divided by 9.
7
Let h = -12 + 10. What is the remainder when h/(-6) + (-42)/(-9) is divided by 2?
1
Let u = 26 - 17. Suppose -5*c = 0, y - 4*c = 9 + 7. Calculate the remainder when y is divided by u.
7
Let r(o) = 5*o. Calculate the remainder when r(22) is divided by 19.
15
Suppose 72 = 2*n + 2*n. Let u = -11 + n. Let w = 31 - 19. What is the remainder when w is divided by u?
5
Let r = -4 + 9. Suppose 4*l - j - 12 = 0, 0 = -3*l - 3*j - r + 29. Suppose -l*p + 44 = -2*p. What is the remainder when p is divided by 8?
6
What is the remainder when 17 is divided by 5/(-4)*(7/(-7) - 3)?
2
Let l = -6 + 18. Suppose 1 = p - 32. What is the remainder when p is divided by l?
9
Let u be (32/(-20))/(4/(-130)). Suppose 4*f = u - 0. Calculate the remainder when f is divided by 5.
3
Let i = -6 - -10. What is the remainder when 2 - (-6 + -8 + (-2)/(-2)) is divided by i?
3
Let l be 2/(-4)*(4 + -26). Suppose l = -2*u + 27. What is the remainder when u is divided by 5?
3
Suppose 0 = 11*h - 10*h - 10. Let j(q) = q**3 + 7*q**2 - 1. Let l be j(-7). Let w(v) = 38*v**2 + v + 1. Calculate the remainder when w(l) is divided by h.
8
Suppose -5*z + 0*o = -o - 33, z = -o + 3. Let k(t) = 2*t**2 - 4*t + 2. Calculate the remainder when z is divided by k(2).
0
Let j(n) = n**3 + 8*n**2 + 6*n + 3. What is the remainder when 47 is divided by j(-7)?
7
Suppose 4*n - 40 = -n. Suppose n*s + 314 = 5*d + 5*s, s - 194 = -3*d. Suppose -f = -0*f - d. What is the remainder when f is divided by 22?
20
What is the remainder when 49 is divided by (-6)/4*(-260)/15?
23
Suppose 13 = 4*g - 35. What is the remainder when 47 is divided by g?
11
Let q = -10 - -14. Suppose b + q*b = 85. What is the remainder when b is divided by 9?
8
Let m = 6 + 12. Let d be 12/3*m/(-8). Let k = d + 14. Calculate the remainder when k is divided by 3.
2
Suppose -d + 0*d = 2. What is the remainder when 50 is divided by 26*1*(d + 3)?
24
Let s(f) = -f**3 + 3*f**2 + 4*f + 4. Let w be s(4). Suppose -w = -r + 3. What is the remainder when r is divided by 4?
3
Let k = -45 - -52. What is the remainder when 40 is divided by k?
5
Let o = -8 - -6. Let w = 2 - o. Suppose -w*j + 31 + 29 = 0. Calculate the remainder when 29 is divided by j.
14
Let k = 9 + 7. Let s = -11 + k. Suppose -s*z - 2*b + 105 = 0, -29 = -0*z - z - 2*b. Calculate the remainder when z is divided by 10.
9
Let i(a) = 2*a - 12. Let w be i(11). Suppose 4*q = 4*g + 52, q - 3*g = w + 1. Suppose m - q + 2 = 0. Calculate the remainder when m is divided by 7.
5
Calculate the remaind
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 4*j + 20 = x*k - 6, -2*k + 5*j = -30. Suppose 10*r + k = 5. Solve -4*q - 4*n = -8, r = 4*q - 0*q + 2*n for q.
-2
Let q(n) = -n**2 + 214*n + 1112. Let k be q(-5). Solve -s + 2*t - k = 7*t, -2*s - 14 = 5*t for s.
3
Let i be ((-88)/(-33))/((-4)/6). Let n be (3 + -1 + -1 + i)*-1. Suppose 0 = n*j - 6, 5*q - 2*j + 4 = 2*q. Solve -t - 2*b + 4 = -q*b, -2*b + 4 = 0 for t.
0
Let k be ((-20)/(-2))/(16 + -14). Suppose -k = -5*n - 3*p + 11, -n - 6 = -4*p. Solve 2*z - 10 = -n*h, h = 2*z - 0*h - 10 for z.
5
Let f(i) = i**2 + 60*i + 761. Let z be f(-18). Solve w - z*a - 3 = 0, -9*w - 6 = -11*w + 5*a for w.
3
Let f = 289 - 206. Suppose 16*t - f = 45. Solve t = 4*g, 2*d = -g + 1 + 5 for d.
2
Let u be (-7)/2*31/((-1953)/54). Solve -4*y + 4*x - 12 = 0, x - u = -0*x for y.
0
Let q = 360 + -215. Let h = -132 + q. Suppose -r = -5*r + 4*i, -4*r - 4*i + 40 = 0. Solve 4*l - 8 = 2*l, -2*l + h = r*p for p.
1
Let y(c) = -c**2 + 6*c - 10. Let m be y(4). Let r(b) = -2*b**2 + 6*b + 3*b + 3 + 5*b**2 - 3*b. Let a be r(m). Solve 3*s + 0 = q + a, -s - 3*q = -1 for s.
1
Let v = -715 + 719. Solve 9 = -5*x - n + 2, -v*n - 10 = 2*x for x.
-1
Let x(p) = -5*p**3 - 16*p - 16. Let z be x(-1). Suppose z*j = -o - 28 + 10, -j = 2*o. Solve 0 = -4*y - o*t - 14, 0*y + 5*t + 11 = -2*y for y.
-3
Suppose 2*k - 4 = -h + 7*k, 4*k + 23 = 3*h. Suppose h = 4*b + 1. Solve 15 = -5*q, -b*d = d + 3*q + 3 for d.
2
Let a = 28 - 26. Let g be 131/(-3) + (2/6)/(-1). Let n = 59 + g. Solve -4*d + n = -p - a*p, 0 = -d + 3 for p.
-1
Suppose -373*u = -340*u - 1320. Solve -3*j - j = -2*r + 28, 5*r - 4*j = u for r.
4
Let b(x) = 2*x**2 - 12*x + 12. Let f be b(5). Suppose -14 = -8*t + f. Suppose 2*r = -3*r + 140. Solve -3*j + 5*q - 2*q = 0, t*j + 5*q - r = 0 for j.
4
Suppose -790*i + 1570*i + 56 = 782*i. Solve -k = -2*a - 7, 24*a - i*a - 29 = 3*k for k.
-3
Suppose -3*f + 4 - 4 + 54 = 0. Solve -i = -3*q - 7, -5*q + f*i - 17*i = 9 for q.
-1
Let x(u) = -u**3 + 3*u**2 - 2. Let s be x(2). Solve 4*f + 4 = -3*c, 0*f + s*f = -2*c for f.
-4
Let x = 2252 + -2249. Solve d = 5*w - 0*w - 29, 4*d + x*w + 1 = 0 for d.
-4
Let z(t) = -t**3 - 10*t**2 - 10*t - 8. Let x be z(-6). Let o = -89 - x. Let d = o + 4. Solve -3*y + d = -u, -2*u - 4*y + 1 = -5 for u.
-1
Suppose 0 = -3*m - d - 80, 0*m - 2*d - 76 = 3*m. Let p be (m/21)/((5/(-3))/5). Let v(n) = 4*n - 2. Let s be v(2). Solve -2*i + s = 2*t, p*t + i = 3*i for t.
1
Let h(y) = 2*y**2 - 14*y - 56. Let g be h(10). Solve 7 = t + 2*k - 1, 5*t = -k + g for t.
0
Let m = 40098 + -40098. Solve m = -3*j - 5*r + 37, 29 = j - 0*j + 5*r for j.
4
Let g be (0*(-2)/(-4))/(-130 - -128). Let n = -13 - -13. Suppose -f + 25 = 2*m, 2*f - 44 = -n*f - 2*m. Solve 2*w = 7*w - l - 9, g = -3*w + 4*l + f for w.
1
Suppose -42 + 54 = 3*z. Suppose -2*c + 3*c = z*y - 12, -3*y - 2*c = -9. Let b be -4 + 0 + 12/y. Solve b*p + w = 2*p + 4, 2*p - 4*w = 2 for p.
-3
Let h be 3 + 56/24*-3 + 7. Solve 0 = h*b + y - 5, -10*b - 3 = -15*b + y for b.
1
Suppose -1510*q + 1484*q = -104. Solve 0 = -5*f + k + q, 1 = 4*f - 2*k - 1 for f.
1
Let k(v) = -2*v**3 - 3*v**2 - 3*v + 2. Let w be k(-3). Let y = 38 - w. Solve 10 = -4*g - 3*s, 5*s + 6 = -4*g - y*g for g.
-4
Let m(y) = y**3 - 5*y**2 - 4*y + 5. Let i be m(6). Let h be ((-6)/4 + 2)/(i/68). Solve -3*p = -4*r - 13, 0*r = -h*r - 5*p - 13 for r.
-4
Let r be ((-5028)/8)/(15/(-10)). Let f = r + -417. Solve 8*g - 4*g - 4 = -3*d, -f*g = 4*d - 2 for d.
0
Suppose 110*j = 43*j + 335. Solve -f + 5*d = 7*d - j, 3 = 3*d for f.
3
Let q be 8*-5*2/(-20). Let k be ((-6)/(-9))/((-7)/(-42)). Suppose 5*l - 3 = k*l. Solve l*g - q*a = -23, g - a + 1 = -5 for g.
-1
Let l be 136/(-51)*78/(-8). Let x = 27 - l. Solve -2*k + i - 5 = 0, -3*k + 3*i - 7 = -x for k.
-3
Let h be ((-845)/52 - -8)*(-8)/6. Solve 9 = -3*d + 2*j, -15 = 6*j - h*j for d.
-1
Let g = 5 - 3. Let p be -2*(0 - 7/2). Suppose -25*h + 704 = 163*h - 12*h. Solve -h*v = -b + p, -3*b + g = -4*b + v for b.
-5
Suppose 0 = 5*i + 48 - 58. Solve i*l + 7*n + 14 = 3*n, 2*n + 5 = -3*l for l.
1
Let b be ((-1)/7 - 8/(-7)) + 1. Suppose -b*h + 30 = 16. Suppose -27 = -4*x - h. Solve -m = -2*q + 9, q - x = -0*q + m for q.
4
Suppose 149*a = 73*a + 228. Solve -a*i - 7 = v, 3*i - 13*v + 15 = -10*v for i.
-3
Let h = -3308 + 3319. Solve -3*z = -4*s - 0*z - h, 2*z = -s + 11 for s.
1
Let i(b) = 3*b - 105. Let r be i(37). Let k be 2/7 - 61/(-7). Suppose -z = -h - r, 0*z = 2*z - h - k. Solve -3*o + 13 = -g, z*g + 5 = -o - 4 for g.
-4
Suppose -5*k = -0*k + 5*s - 55, 3*k = 5*s + 17. Let x be (3 - -1) + k + -10. Solve -9*h + 4*h - 3*p - 15 = 0, 0 = -x*h - 3*p - 9 for h.
-3
Let i = -816 - -819. Let z(w) = -w**2 + 9*w + 5. Let v = 15 - 8. Let a be z(v). Solve -k - i*t = a, 15 = k - 3*t + 4 for k.
-4
Suppose 19*q - 13*q - 43 = 17. Solve -4*g + 5*t + q = 39, -15 = 5*g - 2*t for g.
-1
Let z = 11 + -7. Suppose -109 = -5*b - z*a, -b + 0*a + 2*a = -19. Suppose -9*j + 6 = -b. Solve -i - 4 = -4*i + 2*v, j*i - 2 = v for i.
0
Suppose -217 = 22*j - 283. Solve 5*a - j*m + 1 = 20, 4*a = 2*m + 14 for a.
2
Let h = -23 - -24. Suppose s = -a - 8, -5*a - 4*s - h = 36. Let j be (a/(-2))/((-14)/(-28)). Solve 0 = 4*z + 5*l - 5, 4*z - j + 40 = 3*l for z.
-5
Let k(j) = j**3 - 2*j**2 - 3*j + 4. Let c be k(3). Suppose 0 = 5*a + 4*i + 2 + 22, 0 = 2*i + 12. Solve 4*r - c*y - 16 = a, 3*r + 1 = -3*y + 19 for r.
5
Let i(z) = 306*z**3 - z**2 - 2*z + 2. Let l be i(1). Let v be 1/(l/75 + -1 - 3). Solve 0*g - 3*g = -4*k - 2, -5*g - 5*k + v = 0 for g.
2
Suppose -5 = -u + 5*p, 11*u - 13*u + p = -10. Suppose w = 3*m + u*w + 4, 0 = -4*m - 5*w - 5. Solve m*x = 2*x - 5*f - 23, -3*f - 16 = x for x.
-1
Let f(z) = z**3 - 5*z**2 + 12*z - 18. Let x be f(3). Solve 0 = 10*j - 6*j - 4, x = 5*k - 5*j - 5 for k.
2
Let d(l) = 133*l - 10. Let w be d(2). Suppose w = 2*g - 42. Let u be g/5 + (-6)/(-30). Solve c + 3*c = 4*x + 12, 4*x + 5*c + u = 0 for x.
-5
Suppose -9*f = -98 - 28. Suppose -f*t + 4*t = -8*t. Solve 7*o - 4*o - 4*v = -7, -o + 3*v + 1 = t for o.
-5
Suppose -104 = 3*v - 5*v. Suppose 10*l + 588 = -2*l. Let i = l + v. Solve i*t + 10 = t - h, 0 = -4*t - 3*h - 22 for t.
-4
Let s be (-4)/6 - (-14)/3. Let y be 2 + -2 - (s + -22). Let q be 1 - 20/(-12)*(2 - -1). Solve -2*r = -u + q*u + y, -5*r - 15 = 5*u for u.
-4
Suppose n = -3 - 0, 0 = 4*t + 2*n - 22. Suppose 0 = t*b - 24 - 4. Solve b*u + 2 = -y, 4*u - 4*y + 9 = -3 for u.
-1
Let j(f) = f**3 - 5*f**2 - 6*f + 8. Let h be j(6). Let o = 11 - 6. Let w be ((-12)/22)/(30/(-220)). Solve -o*i = -h*n + 4*n - 24, w*n = -2*i + 4 for i.
4
Let v be ((-26)/(-8))/((-2)/(-72)) + 4. Let n = v - 117. Let p(i) = -i**3 + 3*i**2 - i + 3. Let k be p(3). Solve -2*m + 17 = -m - 3*o, n*o + 16 = k for m.
5
Suppose -10 = -5*v - 5*b, 5*v + 2*b = b - 2. Let i be -2 + (-2 - (0 - v)) + 8. Solve 0*f + f - 14 = -5*o, i*f + 5*o - 22 = 0 for f.
4
Let z = -39 + 44. Suppose 0 = 4*o + 4*u + u - 115, z*o = -4*u + 137. Suppose -8*q + 13*q - o = 0. Solve 0 = p + 5, -3*v = -8*p + q*p - 15 for v.
0
Let g(d) be the second derivative of d**4/12 + 5*d**3/2 - 25*d**2 + 2*d + 1. Let i be g(-18). Solve 2*r + n = 4 + 4, -i*r - 3*n + 14 = 0 for r.
5
Let z(x) = 0*x + 3 - 3 - x - x**2. Let o(y) = -y**2 + 6*y + 5. Let h(k) = o(k) - 2*z(k). Let f be h(-9). Solve c - 4*u = -c + f, 34 = -3*c - 5*u for c.
-3
Let o be (-71 - -91)*(-9)/(-12). Solve -a = 5*y - o - 2, 0 = a - y + 1 for a.
2
Let j = 5406 + -5403. Solve -3 = -4*p + 3*a + j, 0 = -5*p + a + 13 for p.
3
Suppose -1096*p + 1121*p = 0. Solve 2*j - k - 2 = -0, 4*j - 4*k = p for j.
2
Let g be ((120/66)/(-5))/((-30)/165). Solve 0 = y + 5*w + 9, 12 = -5*y + g*w - 6 for y.
-4
Let i(z) = z - 23. Let a = 10 - -96. Let y = a - 77. Let d be i(y). Solve 4*c = -2*v + 12, d*c - 3*c - 3*v - 27 = 0 for c.
5
Let z = 2 + 0. Suppose -2*i - 16 = -3*f, 4*i + 16 = z*f + 2*f. Suppose f*a + 7 = 23. Solve 2*n + 18 = 4*s, -5*n - a*s - 1 = -s for n.
-1
Suppose -10*h + 18 = -32. Suppose 3*s - d + 17 = 7*s, h*s = 3*d + 17. Solve -s*z - z - 27 = -4*w, 0 = -2*w - 2*z for w.
3
Suppose 0 = -30*r + 60 - 0. Solve -7*u + 3*s = -3*u - 2, r*u - 5*s = 8 for u.
-1
Suppose 2*r - 91*k - 3 = -94*k, k + 1 = 0. Solve -2*a + 55 = -r*y + 35, -3*y = -4*a + 28 for a.
4
Suppose 467 = 8*r - 2389. Let u = -344 + r. Solve u = -3*m - 2*c, m + 12 = -m - 3*c for m.
-3
Let c(l) = -7*l**2 - 8*l + 13. Let p be c(4). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there between 11:12 AM and 6:45 PM?
453
What is 655 minutes before 2:07 PM?
3:12 AM
What is 342 minutes before 3:35 AM?
9:53 PM
How many minutes are there between 1:09 AM and 5:43 AM?
274
What is 693 minutes before 12:41 AM?
1:08 PM
How many minutes are there between 6:06 PM and 5:48 AM?
702
How many minutes are there between 4:24 PM and 2:00 AM?
576
What is 670 minutes before 5:45 AM?
6:35 PM
How many minutes are there between 5:17 PM and 10:30 PM?
313
How many minutes are there between 3:00 AM and 6:04 AM?
184
How many minutes are there between 11:02 AM and 12:34 PM?
92
How many minutes are there between 11:21 PM and 9:10 AM?
589
How many minutes are there between 2:45 AM and 11:13 AM?
508
How many minutes are there between 4:30 AM and 3:22 PM?
652
How many minutes are there between 5:10 PM and 6:48 PM?
98
How many minutes are there between 11:16 AM and 6:14 PM?
418
What is 570 minutes before 10:19 AM?
12:49 AM
What is 636 minutes after 12:46 AM?
11:22 AM
How many minutes are there between 12:14 AM and 11:19 AM?
665
How many minutes are there between 5:33 AM and 9:44 AM?
251
How many minutes are there between 3:51 AM and 9:44 AM?
353
How many minutes are there between 11:18 AM and 7:26 PM?
488
What is 405 minutes after 2:38 AM?
9:23 AM
What is 321 minutes before 1:04 PM?
7:43 AM
What is 570 minutes before 8:12 AM?
10:42 PM
What is 697 minutes after 5:33 PM?
5:10 AM
What is 630 minutes after 9:00 PM?
7:30 AM
What is 623 minutes before 9:01 PM?
10:38 AM
How many minutes are there between 10:22 PM and 11:13 PM?
51
What is 410 minutes after 11:36 AM?
6:26 PM
How many minutes are there between 5:54 PM and 10:59 PM?
305
How many minutes are there between 3:33 PM and 7:02 PM?
209
What is 56 minutes before 3:59 AM?
3:03 AM
How many minutes are there between 3:22 AM and 8:11 AM?
289
What is 589 minutes after 2:39 PM?
12:28 AM
How many minutes are there between 2:28 PM and 7:43 PM?
315
What is 317 minutes after 7:28 AM?
12:45 PM
How many minutes are there between 3:26 PM and 5:10 PM?
104
How many minutes are there between 10:05 PM and 9:09 AM?
664
How many minutes are there between 2:06 PM and 10:34 PM?
508
How many minutes are there between 9:19 AM and 10:21 AM?
62
How many minutes are there between 10:54 PM and 8:11 AM?
557
How many minutes are there between 7:12 PM and 11:12 PM?
240
What is 142 minutes before 9:08 AM?
6:46 AM
What is 677 minutes after 4:44 PM?
4:01 AM
How many minutes are there between 4:01 AM and 3:19 PM?
678
How many minutes are there between 6:47 AM and 9:11 AM?
144
How many minutes are there between 11:19 AM and 8:43 PM?
564
What is 331 minutes after 2:00 AM?
7:31 AM
How many minutes are there between 11:48 AM and 4:01 PM?
253
How many minutes are there between 5:15 PM and 1:16 AM?
481
What is 253 minutes after 5:11 AM?
9:24 AM
How many minutes are there between 11:26 AM and 7:31 PM?
485
What is 305 minutes before 8:00 AM?
2:55 AM
What is 337 minutes after 4:58 PM?
10:35 PM
What is 270 minutes after 2:08 AM?
6:38 AM
What is 669 minutes after 5:48 AM?
4:57 PM
What is 323 minutes before 10:19 PM?
4:56 PM
How many minutes are there between 12:12 PM and 3:03 PM?
171
How many minutes are there between 6:38 AM and 2:17 PM?
459
What is 661 minutes after 6:56 AM?
5:57 PM
How many minutes are there between 1:18 PM and 9:43 PM?
505
What is 328 minutes before 2:53 PM?
9:25 AM
What is 289 minutes after 6:51 AM?
11:40 AM
What is 423 minutes before 4:16 PM?
9:13 AM
How many minutes are there between 12:44 PM and 10:43 PM?
599
How many minutes are there between 4:18 PM and 1:25 AM?
547
What is 2 minutes after 9:20 AM?
9:22 AM
How many minutes are there between 4:15 PM and 2:46 AM?
631
How many minutes are there between 11:49 PM and 8:16 AM?
507
How many minutes are there between 9:57 PM and 5:34 AM?
457
How many minutes are there between 12:20 AM and 5:30 AM?
310
How many minutes are there between 2:01 PM and 4:23 PM?
142
How many minutes are there between 3:01 PM and 12:00 AM?
539
What is 410 minutes before 1:34 AM?
6:44 PM
How many minutes are there between 2:48 AM and 5:10 AM?
142
What is 517 minutes after 1:31 PM?
10:08 PM
What is 677 minutes after 9:51 PM?
9:08 AM
What is 597 minutes before 5:08 PM?
7:11 AM
How many minutes are there between 6:05 AM and 2:28 PM?
503
What is 295 minutes after 8:52 PM?
1:47 AM
What is 77 minutes before 3:01 AM?
1:44 AM
How many minutes are there between 12:20 AM and 10:11 AM?
591
How many minutes are there between 11:37 AM and 1:09 PM?
92
How many minutes are there between 12:31 PM and 11:23 PM?
652
How many minutes are there between 4:43 PM and 6:53 PM?
130
How many minutes are there between 10:17 PM and 11:59 PM?
102
How many minutes are there between 12:09 AM and 5:34 AM?
325
What is 92 minutes before 6:24 PM?
4:52 PM
What is 181 minutes before 6:38 AM?
3:37 AM
How many minutes are there between 11:39 AM and 8:42 PM?
543
What is 503 minutes after 5:28 PM?
1:51 AM
What is 235 minutes before 6:41 AM?
2:46 AM
How many minutes are there between 5:05 PM and 1:42 AM?
517
How many minutes are there between 10:07 PM and 1:13 AM?
186
How many minutes are there between 11:14 PM and 2:18 AM?
184
What is 560 minutes before 10:19 PM?
12:59 PM
How many minutes are there between 12:49 AM and 7:28 AM?
399
What is 416 minutes after 7:19 AM?
2:15 PM
What is 367 minutes after 12:39 PM?
6:46 PM
What is 467 minutes before 1:39 AM?
5:52 PM
What is 685 minutes after 12:45 AM?
12:10 PM
How many minutes are there between 10:26 PM and 4:21 AM?
355
What is 277 minutes after 6:23 AM?
11:00 AM
How many minutes are there between 9:45 AM and 3:16 PM?
331
What is 152 minutes before 1:58 PM?
11:26 AM
How many minutes are there between 12:49 AM and 8:28 AM?
459
What is 63 minutes after 1:27 AM?
2:30 AM
What is 367 minutes before 5:47 PM?
11:40 AM
What is 97 minutes before 11:17 AM?
9:40 AM
How many minutes are there between 11:06 PM and 9:31 AM?
625
What is 692 minutes after 5:35 AM?
5:07 PM
How many minutes are there between 12:53 PM and 4:59 PM?
246
What is 665 minutes after 8:21 AM?
7:26 PM
How many minutes are there between 6:24 PM and 2:06 AM?
462
How many minutes are there between 11:20 PM and 7:57 AM?
517
How many minutes are there between 2:55 PM and 1:12 AM?
617
How many minutes are there between 6:16 AM and 11:19 AM?
303
What is 372 minutes before 12:22 AM?
6:10 PM
What is 92 minutes after 11:45 PM?
1:17 AM
How many minutes are there between 12:05 PM and 8:27 PM?
502
What is 149 minutes after 10:55 AM?
1:24 PM
What is 76 minutes before 2:06 PM?
12:50 PM
How many minutes are there between 1:19 AM and 3:00 AM?
101
What is 549 minutes after 2:22 PM?
11:31 PM
How many minutes are there between 5:19 AM and 6:13 AM?
54
How many minutes are there between 8:00 AM and 4:37 PM?
517
What is 504 minutes before 1:20 AM?
4:56 PM
What is 328 minutes after 5:15 AM?
10:43 AM
What is 250 minutes before 7:11 PM?
3:01 PM
How many minutes are there between 6:29 PM and 3:32 AM?
543
How many minutes are there between 6:45 AM and 7:54 AM?
69
How many minutes are there between 9:46 PM and 7:03 AM?
557
What is 706 minutes before 9:44 PM?
9:58 AM
How many minutes are there between 2:57 PM and 7:22 PM?
265
What is 56 minutes before 2:38 AM?
1:42 AM
How many minutes are there between 12:11 AM and 7:20 AM?
429
What is 630 minutes after 10:22 AM?
8:52 PM
How many minutes are there between 2:11 AM and 11:27 AM?
556
What is 371 minutes before 8:09 PM?
1:58 PM
How many minutes are there between 11:34 PM and 5:15 AM?
341
How many minutes are there between 1:07 PM and 3:52 PM?
165
How many minutes are there between 2:15 PM and 9:16 PM?
421
What is 443 minutes before 5:08 AM?
9:45 PM
What is 324 minutes before 10:40 PM?
5:16 PM
How many minutes are there between 10:35 PM and 10:54 PM?
19
How many minutes are there between 8:38 AM and 4:25 PM?
467
How many minutes are there between 7:05 AM and 11:02 AM?
237
How many minutes are there between 4:11 AM and 10:56 AM?
405
How many minutes are there between 12:05 PM and 8:07 PM?
482
How many minutes are there between 2:18 PM and 11:59 PM?
581
What is 104 minutes after 3:24 PM?
5:08 PM
What is 126 minutes after 5:37 PM?
7:43 PM
How many minutes are there between 5:04 AM and 4:48 PM?
704
What is 318
|
{
"pile_set_name": "DM Mathematics"
}
|
p(s) = -35*s**2 + 40*s + 40. Let w(r) = -r**2 + r + 1. Let b(q) = 3*p(q) - 120*w(q). What is the units digit of b(2)?
0
Let h be (-5 + (-130)/(-5))*7. Suppose -3*l + h = n, 3*n = -3*l + 7*n + 132. What is the units digit of l?
8
Suppose -33 - 92 = -m - 2*t, 4*t + 107 = m. What is the units digit of m?
9
Let c = 2039 - -1916. What is the units digit of c?
5
Suppose -26 - 7744 = -15*f. What is the hundreds digit of f?
5
Suppose 0 = -34*w + 34075 + 33007. What is the tens digit of w?
7
What is the hundreds digit of 14/2 - (-223 + -1)?
2
Let c(h) = 3*h**2 + 1 + 5*h - 2*h**2 + 2*h**2 + h**3 - 9. What is the units digit of c(4)?
4
Let y(k) = -2*k**2 + 39*k + 19. Let p be y(21). Let o = 236 - p. What is the hundreds digit of o?
2
Suppose -14*b = 77 + 35. Let x be -10 + ((-2)/(-2) - 3). What is the units digit of -1 - -2*x/b?
2
Let c be (-1 + -1)/((-5)/10). Suppose -3*n - 15 = -6*n. Suppose c*h + 16 + 22 = a, -n*a - h = -85. What is the units digit of a?
8
Suppose 5*f - f + 112 = 0. Let u = f - -140. What is the hundreds digit of u?
1
Suppose -2*o - 14 = -3*g - 47, o - g - 17 = 0. What is the units digit of 2/o + 14960/144?
4
Let u be (3 + 5 + -3)*(-24)/20. Let m = u + 12. What is the units digit of m?
6
Suppose 4 = -5*c + 14. Suppose c*y + 2*d + 260 = 4*y, -4*y + d = -526. What is the units digit of y?
2
Let z = -27 + 16. Let r be (-2 + 5 + z)/(-2). Suppose 0 = -r*y + 31 + 49. What is the tens digit of y?
2
Let q(l) = 106*l - 705. What is the units digit of q(20)?
5
Let m(t) = -100*t - 6. What is the units digit of m(-4)?
4
Let x = 30 + -28. Suppose 648 = 11*q - x*q. What is the tens digit of q?
7
Let o = 36 + -34. Let c = 2 + 3. Suppose c = -o*v + 33. What is the tens digit of v?
1
Suppose 5*u = -2*k - 12, 0 = 5*k + 4*u - 4 - 0. Suppose k*z + 82 - 370 = 0. What is the tens digit of z?
7
Let p = -249 + 480. Suppose 0 = -3*j - 4*j + p. What is the tens digit of j?
3
Let j(n) = -n**2 + 7*n + 6. Suppose 5*w + 23 = 4*r, 4*r - 6*w = -2*w + 24. Let q be j(r). Suppose i - q = -i. What is the units digit of i?
3
Let q be (-2 + 4 + -2)/(3 - 1). What is the tens digit of 1 - (-60 - (q + -1))?
6
Let a be -4 - 0/(2/1). Suppose x + 1 = 0, -2*f - 12 = -5*x + 31. Let z = a - f. What is the units digit of z?
0
Let o = 68 - 48. Let z be (-2 + 48/20)*o. What is the tens digit of (-4)/z + (-388)/(-8)?
4
Suppose -4*w - 33 - 37 = -2*b, -3*b = -3. Let s = w + 22. What is the units digit of s?
5
Suppose -2*f + 5*v + 1575 = 0, 3*f - 2*v - 621 = 1736. What is the hundreds digit of f?
7
Let l(v) = -20*v + 4. Let u be l(-2). Let o = u + -18. What is the tens digit of o?
2
Suppose 12 = 7*g - 2. Suppose 0 = -d + 2 + g. Suppose -5*b + 239 = h - 1, -h + 193 = d*b. What is the tens digit of b?
4
Let o = -617 - -1189. Suppose 179 = -3*n + o. What is the hundreds digit of n?
1
Let u(t) = t**3 - 6*t**2 + 5*t - 1. Let q be u(5). Let a = q - -6. Suppose -23 = a*k - 113. What is the units digit of k?
8
Let h(p) = -p**2 + 14*p + 17. Suppose 1 = -t - 5*r + 35, -2*t + 23 = r. What is the tens digit of h(t)?
6
Let m(n) = -212*n - 1. What is the tens digit of m(-3)?
3
Let n = 47 - 329. Let q = n + 457. What is the units digit of q?
5
Suppose -26*o + 31*o - 1505 = 0. Let d = o - 171. What is the tens digit of d?
3
Let y be 330/10*(-988)/6. Let r be y/55 + (-1)/5. Let u = -58 - r. What is the units digit of u?
1
Let r(w) = -w**2 - 8*w - 5. Let d be r(-6). Suppose 0 = -d*v + 23 + 201. What is the units digit of v?
2
Suppose -a = 3*a - 16. Suppose 0*g + a*g = 32. Suppose i - 2*p = g, 3*i - 4 = -0*i - 4*p. What is the units digit of i?
4
Let v(l) = -l**3 - 3*l**2 - 5*l - 5. Let f be v(-2). Suppose -f = -3*b + 2, 0 = -3*m + 2*b + 76. What is the tens digit of m?
2
Let q = 79 - 79. Suppose q = -4*c + 3*z + 454, 3*z - 4*z = 4*c - 462. What is the units digit of c?
5
Suppose 40 + 96 = 2*n. Let o = 171 - n. Suppose -2*w = 2*y + 2*y - 78, -4*y = -3*w - o. What is the tens digit of y?
2
Let r(i) = 8*i + 4. Let a be r(0). Suppose 0 = a*b - 11*b + 1190. What is the units digit of b?
0
Suppose 0 = -2*t + 3*s + 29, 0 = -t - 0*s + 2*s + 16. Suppose 22 = b - t. What is the units digit of b?
2
Let f(v) = -11*v - 2. Let p be 3 + (-3)/(-6)*0. Suppose -b + 3*b - p*h + 14 = 0, 0 = h - 4. What is the units digit of f(b)?
9
Let s = 7 + 22. Let q = 16 - s. Let g = q + 19. What is the units digit of g?
6
Suppose o = 1 + 3. Suppose u - 4*y + 15 = 0, -5*u + o*y - 21 = 2*y. What is the units digit of 10/30 - 2/u?
1
Let x be 18/(18/6)*(-2)/(-4). Let p(v) = 6*v. Let h(g) = -g. Let o(i) = 5*h(i) + p(i). What is the units digit of o(x)?
3
Suppose 0*f - 6*f + 18 = 0. What is the units digit of (f*(-4)/3 - -2) + 81?
9
Suppose -3*t + 51 = 2*y - 0*t, 5*y + 2*t - 122 = 0. Suppose 5*n - y + 329 = 0. What is the units digit of 1 - n - 0/(-4)?
2
Let p = -3 - 1. Let c be (20/(-2))/(p/6). What is the units digit of 3/5*c/1?
9
Let g = -202 - -105. Let m be g*1*(1 - 2). Suppose l - 3*f - m = f, l + 3*f = 62. What is the units digit of l?
7
Let t be -62*(-1 - 1/(-2)). Suppose 0 = -f + t - 6. Suppose -b - 36 = -4*i + f, 44 = 2*i + 4*b. What is the tens digit of i?
1
What is the hundreds digit of (-343968)/(-132) - 4*(-2)/44?
6
Let g(l) = 218*l + 67. What is the units digit of g(3)?
1
Let z = 23 - 18. Suppose -4*c - 132 = -z*j + 2*j, -4*c - 5*j - 100 = 0. Let g = 2 - c. What is the units digit of g?
2
Let g(c) = -8*c**3 + c**2 - 3*c + 3. Let l be g(-3). Let z be -1 + -2 - l/(-3). Suppose 2*m - z + 26 = 0. What is the tens digit of m?
2
Let o(u) = -2*u + 51. Let j be o(18). Suppose -20 = -4*f, -4*f + 2 = -3*w + 6*w. Let s = j + w. What is the units digit of s?
9
Let t be 6 + (-1)/5*0. Let c(o) be the second derivative of -o**5/20 + 5*o**4/12 + 5*o**3/6 + 7*o**2/2 - o. What is the units digit of c(t)?
1
Suppose 7*b - 6*b = 0. Suppose 4*i = -h + 547, -2*i + 6*i - 3*h - 567 = b. Suppose 122 = 4*d - i. What is the tens digit of d?
6
Let o(v) = 4*v - 26. Let k be o(-11). Let y = -44 - k. What is the tens digit of y?
2
Let i(h) = -6*h - 6. Let s(d) = -7*d - 6. Suppose 0 = -3*w + 2*w + 3. Let o(u) = w*s(u) - 4*i(u). What is the units digit of o(5)?
1
Suppose 3*s - 162 = 3*i, -2*i = -2 - 4. Suppose 3*x + x = -g + s, -37 = -4*x + 3*g. What is the units digit of x?
3
Suppose 7*w - 365 = 643. Suppose 3*m - 138 = w. What is the tens digit of m?
9
Let p(t) = 129*t - 212. What is the tens digit of p(8)?
2
Let k = 6 - -6. Let w(u) = -7 + 8*u - 9*u + k*u. What is the units digit of w(4)?
7
Let s(q) = 707*q + 448. What is the units digit of s(5)?
3
Suppose 4*h + 5*b - 148 = -0*h, -20 = -5*b. Let m = 25 - h. What is the tens digit of (-1728)/(-28) - 2/m?
6
Let t(k) be the second derivative of -k**5/10 + k**4/6 + 2*k**3/3 + 5*k**2/2 - 6*k. Let g be t(-3). Suppose 4*z - g = 163. What is the tens digit of z?
5
What is the units digit of (-10)/30 - (-5384)/6?
7
Let z(c) = -c**3 + 17*c**2 - 15*c - 16. Let v be z(16). Let b(k) = 2*k + 76. What is the tens digit of b(v)?
7
Suppose 3*h = 3, 0 = 5*g - 2*h - 405 - 14473. What is the units digit of g?
6
Let p(s) = -2*s**3 + 29*s**2 + 43*s - 14. Let v(j) = -j**3 + 15*j**2 + 21*j - 7. Let g(w) = -2*p(w) + 5*v(w). What is the units digit of g(18)?
1
Let x = 207 + 713. What is the units digit of x?
0
Suppose t = -h - 24, 2*t - 2*h - 22 = -54. Let a be 174/8 + (-5)/t. Suppose -g = g - a. What is the tens digit of g?
1
Suppose -4*j + 196 = 2*o, 0 = -3*o + 5*j + 49 + 212. What is the units digit of o?
2
Let v be (-2)/4 - 6/4. Let a be (v/4)/((-8)/32). Suppose -58 + 8 = -a*r. What is the tens digit of r?
2
Suppose -j - p = -2*j + 5, 5 = 5*j - p. Suppose j = -k + 6*k - 680. What is the tens digit of k?
3
Let w = -83 - -124. Let x = w + -16. What is the tens digit of x?
2
Let g be (-3 - (-2 + -1)) + (47 - 1). Let t = g + -41. What is the units digit of t?
5
Let v = -485 - -770. What is the units digit of v?
5
Let i(x) be the first derivative of x**3/3 - 17*x**2/2 + 7*x + 8. What is the units digit of i(19)?
5
Let o(r) = r**3 - 9*r**2 + 14*r - 1. Let c be o(7). What is the units digit of (2/c)/(4/(-14))?
7
Suppose -48 = 18*x - 26*x. Let m(z) = -z**3 + 6*z**2 + 5*z - 9. What is the units digit of m(x)?
1
Suppose 11 + 7 = 3*v. Let s(i) = -10*i + 28. Let u be s(0). Suppose 4*r = v*r - u. What is the units digit of r?
4
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
AM and 7:11 PM?
557
How many minutes are there between 12:38 AM and 1:17 AM?
39
What is 618 minutes after 8:10 PM?
6:28 AM
How many minutes are there between 6:53 PM and 12:02 AM?
309
How many minutes are there between 5:10 AM and 9:59 AM?
289
How many minutes are there between 8:29 AM and 3:41 PM?
432
How many minutes are there between 7:12 AM and 7:06 PM?
714
How many minutes are there between 7:19 PM and 3:31 AM?
492
How many minutes are there between 6:45 AM and 10:43 AM?
238
What is 473 minutes after 3:03 PM?
10:56 PM
How many minutes are there between 4:05 PM and 6:11 PM?
126
How many minutes are there between 4:00 PM and 11:33 PM?
453
What is 35 minutes after 10:38 AM?
11:13 AM
What is 665 minutes after 11:25 PM?
10:30 AM
What is 502 minutes before 1:36 AM?
5:14 PM
What is 507 minutes before 10:09 AM?
1:42 AM
How many minutes are there between 5:40 AM and 3:28 PM?
588
What is 355 minutes before 4:11 AM?
10:16 PM
How many minutes are there between 4:51 PM and 4:30 AM?
699
How many minutes are there between 7:43 PM and 6:26 AM?
643
How many minutes are there between 11:55 AM and 5:40 PM?
345
How many minutes are there between 8:06 PM and 10:52 PM?
166
How many minutes are there between 11:31 PM and 4:05 AM?
274
How many minutes are there between 5:43 PM and 5:32 AM?
709
How many minutes are there between 11:12 PM and 8:15 AM?
543
How many minutes are there between 1:29 PM and 12:51 AM?
682
How many minutes are there between 10:22 AM and 11:04 AM?
42
How many minutes are there between 3:45 PM and 1:18 AM?
573
How many minutes are there between 8:56 PM and 11:31 PM?
155
What is 543 minutes before 8:21 PM?
11:18 AM
What is 77 minutes after 7:21 PM?
8:38 PM
How many minutes are there between 11:11 AM and 4:20 PM?
309
How many minutes are there between 6:09 AM and 6:19 AM?
10
How many minutes are there between 3:44 AM and 2:00 PM?
616
What is 429 minutes after 4:32 AM?
11:41 AM
What is 490 minutes before 11:48 PM?
3:38 PM
How many minutes are there between 1:57 AM and 8:22 AM?
385
What is 211 minutes after 10:27 PM?
1:58 AM
How many minutes are there between 11:44 PM and 10:02 AM?
618
What is 135 minutes after 11:19 PM?
1:34 AM
What is 63 minutes after 10:21 AM?
11:24 AM
How many minutes are there between 7:57 AM and 7:13 PM?
676
How many minutes are there between 7:31 PM and 6:58 AM?
687
What is 277 minutes before 3:35 AM?
10:58 PM
How many minutes are there between 5:08 PM and 10:35 PM?
327
What is 501 minutes after 8:57 AM?
5:18 PM
How many minutes are there between 4:17 AM and 4:07 PM?
710
How many minutes are there between 12:43 AM and 5:56 AM?
313
How many minutes are there between 3:07 PM and 8:09 PM?
302
How many minutes are there between 6:43 PM and 11:39 PM?
296
What is 660 minutes before 10:20 AM?
11:20 PM
How many minutes are there between 11:49 PM and 2:27 AM?
158
How many minutes are there between 7:37 PM and 5:53 AM?
616
How many minutes are there between 10:11 AM and 5:07 PM?
416
How many minutes are there between 11:11 AM and 6:23 PM?
432
How many minutes are there between 2:38 PM and 6:38 PM?
240
What is 331 minutes before 4:18 PM?
10:47 AM
What is 71 minutes before 6:28 PM?
5:17 PM
What is 581 minutes after 6:04 AM?
3:45 PM
What is 404 minutes before 2:52 AM?
8:08 PM
What is 309 minutes after 1:31 PM?
6:40 PM
How many minutes are there between 7:10 PM and 6:52 AM?
702
How many minutes are there between 4:53 AM and 11:57 AM?
424
How many minutes are there between 1:08 AM and 12:38 PM?
690
How many minutes are there between 7:09 PM and 2:19 AM?
430
What is 532 minutes after 7:43 PM?
4:35 AM
How many minutes are there between 2:53 PM and 9:54 PM?
421
What is 539 minutes before 5:41 PM?
8:42 AM
What is 599 minutes before 9:57 PM?
11:58 AM
How many minutes are there between 1:45 PM and 4:30 PM?
165
How many minutes are there between 6:05 PM and 8:45 PM?
160
What is 647 minutes before 3:13 AM?
4:26 PM
What is 408 minutes before 4:58 PM?
10:10 AM
What is 439 minutes after 11:09 PM?
6:28 AM
What is 520 minutes after 7:41 PM?
4:21 AM
What is 304 minutes before 7:12 PM?
2:08 PM
What is 706 minutes after 4:40 AM?
4:26 PM
What is 703 minutes before 8:11 AM?
8:28 PM
How many minutes are there between 7:37 AM and 2:03 PM?
386
What is 446 minutes after 6:08 PM?
1:34 AM
How many minutes are there between 9:58 PM and 2:44 AM?
286
How many minutes are there between 5:08 PM and 8:45 PM?
217
What is 514 minutes before 5:14 AM?
8:40 PM
What is 172 minutes before 11:22 AM?
8:30 AM
What is 320 minutes before 9:53 AM?
4:33 AM
How many minutes are there between 1:52 PM and 9:39 PM?
467
What is 50 minutes after 11:38 AM?
12:28 PM
How many minutes are there between 7:08 AM and 11:04 AM?
236
What is 101 minutes after 10:25 PM?
12:06 AM
What is 508 minutes after 10:23 AM?
6:51 PM
How many minutes are there between 11:05 AM and 10:47 PM?
702
How many minutes are there between 12:15 PM and 2:25 PM?
130
What is 394 minutes after 7:39 PM?
2:13 AM
What is 581 minutes before 1:52 AM?
4:11 PM
How many minutes are there between 8:20 PM and 1:51 AM?
331
What is 557 minutes after 12:33 AM?
9:50 AM
How many minutes are there between 8:48 AM and 1:14 PM?
266
How many minutes are there between 4:00 AM and 8:37 AM?
277
What is 142 minutes before 5:17 PM?
2:55 PM
What is 560 minutes after 1:38 AM?
10:58 AM
How many minutes are there between 4:46 AM and 11:26 AM?
400
How many minutes are there between 11:22 PM and 2:28 AM?
186
What is 501 minutes before 3:58 AM?
7:37 PM
How many minutes are there between 4:00 AM and 10:13 AM?
373
What is 482 minutes before 11:43 PM?
3:41 PM
What is 302 minutes before 9:07 AM?
4:05 AM
What is 429 minutes before 2:03 AM?
6:54 PM
How many minutes are there between 12:48 AM and 3:28 AM?
160
What is 149 minutes after 3:02 AM?
5:31 AM
How many minutes are there between 12:43 AM and 8:08 AM?
445
How many minutes are there between 9:16 PM and 9:43 PM?
27
How many minutes are there between 8:44 PM and 5:05 AM?
501
What is 414 minutes before 4:32 AM?
9:38 PM
How many minutes are there between 1:23 PM and 1:13 AM?
710
How many minutes are there between 1:34 PM and 11:04 PM?
570
What is 710 minutes before 12:01 PM?
12:11 AM
How many minutes are there between 5:33 AM and 4:07 PM?
634
What is 418 minutes before 12:40 AM?
5:42 PM
What is 274 minutes after 11:09 PM?
3:43 AM
How many minutes are there between 9:01 PM and 11:41 PM?
160
How many minutes are there between 10:45 PM and 10:04 AM?
679
What is 331 minutes before 1:32 PM?
8:01 AM
How many minutes are there between 12:59 PM and 7:55 PM?
416
What is 618 minutes after 12:08 AM?
10:26 AM
How many minutes are there between 12:33 PM and 8:46 PM?
493
How many minutes are there between 11:50 PM and 6:59 AM?
429
What is 359 minutes before 7:47 PM?
1:48 PM
How many minutes are there between 9:26 PM and 1:24 AM?
238
What is 25 minutes before 3:06 AM?
2:41 AM
What is 149 minutes after 2:39 PM?
5:08 PM
What is 401 minutes before 11:12 PM?
4:31 PM
What is 89 minutes after 10:08 PM?
11:37 PM
How many minutes are there between 5:23 AM and 10:33 AM?
310
How many minutes are there between 8:58 AM and 6:05 PM?
547
What is 27 minutes before 5:07 PM?
4:40 PM
How many minutes are there between 3:56 AM and 2:07 PM?
611
How many minutes are there between 6:17 PM and 7:58 PM?
101
What is 53 minutes after 4:26 PM?
5:19 PM
What is 639 minutes after 11:01 AM?
9:40 PM
How many minutes are there between 11:31 AM and 2:24 PM?
173
What is 704 minutes after 4:12 AM?
3:56 PM
What is 439 minutes before 5:52 AM?
10:33 PM
What is 405 minutes after 7:29 AM?
2:14 PM
How many minutes are there between 1:59 PM and 7:08 PM?
309
How many minutes are there between 11:36 PM and 8:13 AM?
517
What is 528 minutes before 11:18 AM?
2:30 AM
How many minutes are there between 8:12 AM and 5:44 PM?
572
How many minutes are there between 12:14 PM and 1:04 PM?
50
What is 102 minutes before 4:08 AM?
2:26 AM
How many minutes are there between 7:20 AM and 3:33 PM?
493
How many minutes are there between 7:01 AM and 8:23 AM?
82
How many minutes are there between 10:31 AM and 10:17 PM?
706
What is 715 minutes before 1:35 AM?
1:40 PM
What is 253 minutes after 6:43 PM?
10:56 PM
What is 597 minutes after 5:19 PM?
3:16 AM
How many minutes are there betw
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest integer?
33
What is the eighth root of 46499 to the nearest integer?
4
What is the cube root of 1954 to the nearest integer?
13
What is 12022 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 8180 to the nearest integer?
10
What is the square root of 5713 to the nearest integer?
76
What is 6259 to the power of 1/2, to the nearest integer?
79
What is the ninth root of 536 to the nearest integer?
2
What is the ninth root of 4119 to the nearest integer?
3
What is the tenth root of 537 to the nearest integer?
2
What is the cube root of 45985 to the nearest integer?
36
What is 43831 to the power of 1/9, to the nearest integer?
3
What is the seventh root of 36330 to the nearest integer?
4
What is 1680 to the power of 1/10, to the nearest integer?
2
What is the cube root of 11674 to the nearest integer?
23
What is the third root of 158 to the nearest integer?
5
What is 19748 to the power of 1/3, to the nearest integer?
27
What is the square root of 53087 to the nearest integer?
230
What is 487 to the power of 1/6, to the nearest integer?
3
What is the eighth root of 1759 to the nearest integer?
3
What is the cube root of 3512 to the nearest integer?
15
What is the square root of 482 to the nearest integer?
22
What is 2489 to the power of 1/2, to the nearest integer?
50
What is the third root of 1374 to the nearest integer?
11
What is 1532 to the power of 1/2, to the nearest integer?
39
What is the tenth root of 12132 to the nearest integer?
3
What is 49948 to the power of 1/8, to the nearest integer?
4
What is the square root of 7477 to the nearest integer?
86
What is the third root of 16396 to the nearest integer?
25
What is the tenth root of 9636 to the nearest integer?
3
What is 3904 to the power of 1/7, to the nearest integer?
3
What is 3868 to the power of 1/10, to the nearest integer?
2
What is 2443 to the power of 1/5, to the nearest integer?
5
What is 20393 to the power of 1/2, to the nearest integer?
143
What is 910 to the power of 1/9, to the nearest integer?
2
What is the third root of 1616 to the nearest integer?
12
What is the square root of 74920 to the nearest integer?
274
What is the eighth root of 6041 to the nearest integer?
3
What is 36335 to the power of 1/2, to the nearest integer?
191
What is 52109 to the power of 1/8, to the nearest integer?
4
What is 993 to the power of 1/6, to the nearest integer?
3
What is the cube root of 33790 to the nearest integer?
32
What is the ninth root of 63951 to the nearest integer?
3
What is 1137 to the power of 1/2, to the nearest integer?
34
What is 2422 to the power of 1/3, to the nearest integer?
13
What is 129093 to the power of 1/2, to the nearest integer?
359
What is the third root of 915 to the nearest integer?
10
What is 17982 to the power of 1/2, to the nearest integer?
134
What is 7483 to the power of 1/3, to the nearest integer?
20
What is the square root of 1714 to the nearest integer?
41
What is 1017 to the power of 1/5, to the nearest integer?
4
What is the ninth root of 1434 to the nearest integer?
2
What is 1085 to the power of 1/4, to the nearest integer?
6
What is 4916 to the power of 1/2, to the nearest integer?
70
What is 389 to the power of 1/2, to the nearest integer?
20
What is 43003 to the power of 1/3, to the nearest integer?
35
What is the square root of 141571 to the nearest integer?
376
What is the eighth root of 42769 to the nearest integer?
4
What is the third root of 19171 to the nearest integer?
27
What is 47101 to the power of 1/6, to the nearest integer?
6
What is 1010 to the power of 1/3, to the nearest integer?
10
What is the third root of 3372 to the nearest integer?
15
What is 16855 to the power of 1/9, to the nearest integer?
3
What is the square root of 1518 to the nearest integer?
39
What is 79760 to the power of 1/6, to the nearest integer?
7
What is 9125 to the power of 1/4, to the nearest integer?
10
What is the cube root of 49694 to the nearest integer?
37
What is the square root of 3581 to the nearest integer?
60
What is the square root of 2607 to the nearest integer?
51
What is the third root of 1185 to the nearest integer?
11
What is the sixth root of 1948 to the nearest integer?
4
What is the cube root of 562 to the nearest integer?
8
What is 13228 to the power of 1/3, to the nearest integer?
24
What is the fourth root of 14270 to the nearest integer?
11
What is 155741 to the power of 1/3, to the nearest integer?
54
What is 8036 to the power of 1/2, to the nearest integer?
90
What is the fourth root of 74 to the nearest integer?
3
What is 20311 to the power of 1/2, to the nearest integer?
143
What is the cube root of 356 to the nearest integer?
7
What is the third root of 9117 to the nearest integer?
21
What is the third root of 598 to the nearest integer?
8
What is 17364 to the power of 1/2, to the nearest integer?
132
What is 7142 to the power of 1/2, to the nearest integer?
85
What is 1436 to the power of 1/5, to the nearest integer?
4
What is the square root of 43041 to the nearest integer?
207
What is the fifth root of 11880 to the nearest integer?
7
What is 17106 to the power of 1/2, to the nearest integer?
131
What is 6402 to the power of 1/5, to the nearest integer?
6
What is 2918 to the power of 1/3, to the nearest integer?
14
What is 12512 to the power of 1/2, to the nearest integer?
112
What is the square root of 998 to the nearest integer?
32
What is 125 to the power of 1/2, to the nearest integer?
11
What is the cube root of 40611 to the nearest integer?
34
What is 21524 to the power of 1/2, to the nearest integer?
147
What is 65465 to the power of 1/2, to the nearest integer?
256
What is the third root of 97680 to the nearest integer?
46
What is 20721 to the power of 1/9, to the nearest integer?
3
What is the fifth root of 12022 to the nearest integer?
7
What is 1905 to the power of 1/8, to the nearest integer?
3
What is the cube root of 3989 to the nearest integer?
16
What is 938 to the power of 1/4, to the nearest integer?
6
What is the tenth root of 2143 to the nearest integer?
2
What is 2029 to the power of 1/3, to the nearest integer?
13
What is the third root of 2055 to the nearest integer?
13
What is the cube root of 1113 to the nearest integer?
10
What is 8167 to the power of 1/8, to the nearest integer?
3
What is the third root of 58089 to the nearest integer?
39
What is the third root of 1119 to the nearest integer?
10
What is 3926 to the power of 1/2, to the nearest integer?
63
What is 34161 to the power of 1/6, to the nearest integer?
6
What is 2825 to the power of 1/9, to the nearest integer?
2
What is the third root of 3874 to the nearest integer?
16
What is the square root of 22767 to the nearest integer?
151
What is the sixth root of 87242 to the nearest integer?
7
What is the fourth root of 6221 to the nearest integer?
9
What is 13306 to the power of 1/10, to the nearest integer?
3
What is 63459 to the power of 1/2, to the nearest integer?
252
What is the cube root of 1061 to the nearest integer?
10
What is the eighth root of 31166 to the nearest integer?
4
What is the cube root of 7441 to the nearest integer?
20
What is the tenth root of 1926 to the nearest integer?
2
What is 3660 to the power of 1/3, to the nearest integer?
15
What is 49180 to the power of 1/10, to the nearest integer?
3
What is the eighth root of 11408 to the nearest integer?
3
What is the third root of 2351 to the nearest integer?
13
What is the cube root of 1572 to the nearest integer?
12
What is the seventh root of 16314 to the nearest integer?
4
What is 48477 to the power of 1/10, to the nearest integer?
3
What is the cube root of 1874 to the nearest integer?
12
What is 2945 to the power of 1/3, to the nearest integer?
14
What is 6354 to the power of 1/9, to the nearest integer?
3
What is the tenth root of 32423 to the nearest integer?
3
What is the fourth root of 4466 to the nearest integer?
8
What is 1284 to the power of 1/2, to the nearest integer?
36
What is 61 to the power of 1/3, to the nearest integer?
4
What is the tenth root of 1054 to the nearest integer?
2
What is 1611 to the power of 1/5, to the nearest integer?
4
What is the sixth root of 49820 to the nearest integer?
6
What is the eighth
|
{
"pile_set_name": "DM Mathematics"
}
|
+ s*r - 1/4*r**2 = 0. Calculate r.
-1, 0
Let m be (552/644)/((-9)/(-21)). Let o(s) be the third derivative of -1/660*s**6 + 0*s**3 + 0*s**4 - 17*s**m + 0 + 0*s - 1/165*s**5. Factor o(z).
-2*z**2*(z + 2)/11
Let x(m) be the first derivative of 33*m + 129/4*m**2 - 3/8*m**4 + 267 + 10*m**3. Factor x(h).
-3*(h - 22)*(h + 1)**2/2
Let n(a) = 2*a**3 - 12*a**2 - 5*a + 30. Let l be n(6). Suppose -5*x - 4*k = -16, 72*x - 71*x + k - 4 = l. Factor 2/3*s + 1/3*s**3 + x - s**2.
s*(s - 2)*(s - 1)/3
Suppose 37*y = 18*y + 81*y - 620. Let q(f) be the second derivative of -y*f + 0 - 1/36*f**4 + 1/6*f**3 + 2/3*f**2. Factor q(a).
-(a - 4)*(a + 1)/3
Suppose -x = 3, 5*u + x - 3 = 2*u. Find q, given that 90*q + u*q**2 - 87*q + q**2 = 0.
-1, 0
Let h(k) = k + 5. Let r be h(6). Suppose -77*d + 84*d - 14 = 0. Solve -r*j**2 - 10*j**4 - 4*j**5 - 10 + 10*j**3 + 31*j**d + j**5 - 5*j - 2*j**5 = 0 for j.
-2, -1, 1
Let q = 19/45 + -73/180. Let r(g) be the second derivative of q*g**4 + 0 + 0*g**2 + 29*g + 0*g**3. Let r(m) = 0. What is m?
0
Let h(z) be the third derivative of 0 + 4/9*z**3 - 1/90*z**5 + 1/27*z**4 + 48*z**2 + 0*z - 1/540*z**6. Suppose h(q) = 0. What is q?
-3, -2, 2
Let t be (-5)/(25/6)*128/(-96). Suppose 4*o = -4*b + 22 + 10, 2*b - 20 = -4*o. Find j such that 12/5*j + 4/5*j**o + t = 0.
-2, -1
Let f(r) = 2*r**2 + 320*r + 420. Let k(h) = -h**2 - 285*h - 420. Let o(w) = -4*f(w) - 3*k(w). Factor o(b).
-5*(b + 1)*(b + 84)
Let o(h) be the third derivative of 2*h**6/45 + 29*h**5/30 + 7*h**4/6 - 25*h**3/2 + 76*h**2. Let g(u) be the first derivative of o(u). Factor g(c).
4*(c + 7)*(4*c + 1)
Find j, given that 412/5*j**2 - 178/5*j**3 + 32/5*j**4 + 144/5 - 2/5*j**5 - 408/5*j = 0.
1, 2, 6
Suppose 2938*b = 3049*b. Factor -2/3*k**3 - k + b - 11/6*k**2 + 1/6*k**4.
k*(k - 6)*(k + 1)**2/6
Suppose -208/9*k**2 + 398/3*k - 196 + 2/9*k**3 = 0. Calculate k.
3, 98
Factor -1091*v + 3*v**4 + 93*v**2 + 1226*v + 0*v**3 - 39*v**3.
3*v*(v - 9)*(v - 5)*(v + 1)
Factor -1/4*x**4 + 9/2*x**2 + 0 + 8*x - 15/4*x**3.
-x*(x - 2)*(x + 1)*(x + 16)/4
Let s(v) be the third derivative of 4489*v**5/510 + 469*v**4/102 + 49*v**3/51 - 267*v**2. Let s(l) = 0. Calculate l.
-7/67
Factor 295936/7 + 2176/7*m + 4/7*m**2.
4*(m + 272)**2/7
Let l be (-4 - (-720)/100) + 1/(-5). Let v = 9 + -6. Factor -4*j + j - 2*j**v + 3*j**l + 2*j.
j*(j - 1)*(j + 1)
Let b(w) = 45*w - 68. Let d be b(2). Factor d*j + 111*j**2 - 30*j**2 - 6*j**3 - 32*j**2 + 2*j**4 - 23*j**2 - 32*j**2 - 12.
2*(j - 3)*(j - 1)**2*(j + 2)
Let o be (-4)/(-18)*3 + 4191/99. Factor -24*u + o*u**5 - 23*u**5 + 68*u - 24*u**5 + 24*u**3 - 4*u**4 + 12 + 56*u**2.
-4*(u - 3)*(u + 1)**4
Find b, given that 216/5 - 3/5*b**2 + 102/5*b = 0.
-2, 36
Let k(u) be the third derivative of -u**6/24 + 5*u**5/6 + 265*u**4/24 + 35*u**3 + 4*u**2 - 2*u + 16. Find m, given that k(m) = 0.
-3, -1, 14
Let v = -10793 - -10793. Let w(f) be the third derivative of v + 1/690*f**5 - 5/138*f**4 + 13*f**2 + 0*f + 25/69*f**3. Let w(k) = 0. What is k?
5
Let d(c) be the third derivative of -c**7/420 + 11*c**6/80 + c**5/120 - 11*c**4/16 + 1526*c**2. Factor d(i).
-i*(i - 33)*(i - 1)*(i + 1)/2
Let v = -408043/27 - -15113. Let p(c) be the second derivative of -1/54*c**4 + 41*c + 0 - v*c**3 + 0*c**2. Factor p(o).
-2*o*(o + 8)/9
Let j(m) be the third derivative of -1/6*m**4 - 44*m**2 + 1/15*m**6 + 2/3*m**3 + 0*m - 2/15*m**5 - 1/84*m**8 + 0 + 2/105*m**7. Determine w, given that j(w) = 0.
-1, 1
Suppose -3*h - 2*q + 16 = 0, -19920*h + 19916*h - 5*q = -33. Find a, given that 1083/2 + 1197/2*a + 3/2*a**3 + 117/2*a**h = 0.
-19, -1
Let v(j) = j**2 - j. Let b(g) = 11*g**2 - 16*g + 5. Let s = -331 - -335. Let n(i) = s*v(i) + b(i). Factor n(o).
5*(o - 1)*(3*o - 1)
Suppose 8*a = -2*a - 20. Let r be ((-60)/(-14))/(a/(-7)). Factor -6 - 4*w**3 - 3*w + 14 + r*w.
-4*(w - 2)*(w + 1)**2
Suppose -1376*z**2 + 3882243 + 2759*z**2 - 517825 + 5188*z - 1381*z**2 = 0. What is z?
-1297
Suppose -5*z - 14 = -3*u + 2*u, -4*z - 5*u = 17. Let s be z*(15/(-35) - (-8)/(-14)). Determine g so that -40*g**2 - 7 + 143*g + 17 - 25*g**s - 148*g = 0.
-1, 2/5
Let g = -321 - -323. Factor 146*y + 37*y**g + 20*y**3 + y**4 + 152*y - 280*y.
y*(y + 1)**2*(y + 18)
Let g(h) be the second derivative of -5*h**4/2 - 125*h**3/6 + 547*h. Factor g(z).
-5*z*(6*z + 25)
Let z = -768871 - -768873. Factor 8/5*n**3 + 4/5*n**z - 4/5*n**4 - 8/5*n + 0.
-4*n*(n - 2)*(n - 1)*(n + 1)/5
Let b be (-2)/(-7) - (11 - (-41097)/(-49)). Let l = 831 - b. Factor -20/7*s**l - 4/7*s**5 + 1/7 + 0*s - 10/7*s**2 - 15/7*s**4.
-(s + 1)**4*(4*s - 1)/7
Determine a, given that -3312/11*a - 826/11*a**3 + 8612/11*a**2 - 10/11*a**4 + 0 = 0.
-92, 0, 2/5, 9
Let r be (-1834)/(-105) + 285/(-19) + (-3 - (-48)/15). What is g in 40/3 - 4/3*g**3 + r*g**2 + 52/3*g = 0?
-2, -1, 5
Let i(y) be the second derivative of y**7/84 - 7*y**6/60 + 9*y**5/20 - 5*y**4/6 + 2*y**3/3 + 787*y + 2. Let i(q) = 0. What is q?
0, 1, 2
Factor -3*m**2 + 25*m + 51*m + 3588 + 116*m - 8*m + 53*m.
-3*(m - 92)*(m + 13)
Let z(i) be the first derivative of 5*i**4/4 - 400*i**3/3 + 4000*i**2 + 912. Find h, given that z(h) = 0.
0, 40
Let 2*p**3 + 6*p - 1206*p**4 + 21*p**2 + 1203*p**4 + 12*p**3 + 2*p**2 = 0. Calculate p.
-1, -1/3, 0, 6
Let u be 76/(-95)*5/(-2). Let 4*o**2 + 9*o + o**u + 7*o**2 + 4*o**2 - 13*o**2 + 6 = 0. What is o?
-2, -1
Let h(b) be the second derivative of -b**6/225 - 6*b**5/25 - 119*b**4/30 - 578*b**3/45 - 2*b - 2346. Factor h(r).
-2*r*(r + 2)*(r + 17)**2/15
Let z = -1253154 + 1253154. Determine h, given that -2/7*h**2 - 46/7*h**4 + 10*h**3 - 10/7*h + z - 12/7*h**5 = 0.
-5, -1/3, 0, 1/2, 1
Let j(g) be the second derivative of -g**7/70 + 19*g**6/10 - 1521*g**5/20 + 2413*g**4/4 + 3212*g**3 + 26136*g**2/5 + 1255*g. Determine d so that j(d) = 0.
-1, 9, 44
Let x(i) be the first derivative of i**6/144 - i**5/16 - 35*i**4/12 - 46*i**3/3 + 57. Let b(f) be the third derivative of x(f). Suppose b(n) = 0. What is n?
-4, 7
Suppose -11/4 + 47/4*l**2 + 29/4*l**3 + 7/4*l = 0. Calculate l.
-1, 11/29
Let p be 66/(-25)*7/63*-490. Let x = -430/3 + p. Suppose 1/5 + x*t + 1/5*t**2 = 0. Calculate t.
-1
Let v be (-177)/354*-6*6/9. Factor 0 - 26/7*a**4 + 8/7*a**v - 48/7*a**3 + 0*a.
-2*a**2*(a + 2)*(13*a - 2)/7
Let k(i) be the third derivative of 0*i + 2 - 5/42*i**4 + 41*i**2 - 1/105*i**5 + 4/7*i**3. Find l, given that k(l) = 0.
-6, 1
Suppose 5 - 1 = r. Suppose 3*k + w = r, k - 4*w = 5*k. Factor -24*c + 44*c - c**2 - 17*c + 4*c**k - 6.
3*(c - 1)*(c + 2)
Let k(f) be the third derivative of -7059649*f**7/35 + 7043707*f**6/30 - 6995917*f**5/90 - 2651*f**4/9 - 4*f**3/9 + 454*f**2. Determine o, given that k(o) = 0.
-2/2657, 1/3
Suppose c - 2*m + 625 = 0, -4*c - 5*m = -6 + 2532. Let p = 631 + c. Suppose 0 + 0*y - 6/7*y**4 + 2/7*y**3 + 4/7*y**p = 0. Calculate y.
-2/3, 0, 1
Let a(p) be the third derivative of p**5/15 + 2*p**4 - 266*p**3/3 + 19*p**2 - 88*p. Solve a(f) = 0 for f.
-19, 7
Let o(h) be the first derivative of h**4/48 + h**3/6 - 190*h - 201. Let j(d) be the first derivative of o(d). Suppose j(f) = 0. What is f?
-4, 0
Let w be 7*(-39)/(-63) + (100 + -99)/(6 + 0). Find x such that 48 + w*x**2 + 75*x = 0.
-16, -2/3
Let y(j) be the second derivative of -9*j**6/10 + 21*j**5/20 + 37*j**4/2 - 46*j**3 - 36*j**2 + 149*j + 3. Let y(c) = 0. Calculate c.
-3, -2/9, 2
Suppose 14*i + 10 = 5*u + 12*i, 4*u + 4*i - 8 = 0. Find d such that 23*d + 8*d + d**3 - 12*d - 14*d**2 - 36 + 21*d + d**u = 0.
2, 9
Suppose 4*j + 49 = -11. Let z be (-1)/(-1)*(18 + j). Determine r, given that 5 - 15/4*r**2 - 5/4*r**4 - 5*r + 5*r**z = 0.
-1, 1, 2
Let y = -717 - -45167/63. Let w = 13/126 - y. Suppose -1/6*b**2 + 1/6*b + 0 + 1/6*b**4 - w*b**3 = 0. What is b?
-1, 0, 1
Let w = -28 + 44. Suppose 2*f + 2*k - w = 0, -3*f + 37 = 2*f + 4*k. Factor 3*v**3 - v + 4*v - v**3 - f*v.
2*v*(v - 1)*(v + 1)
Let s(h) = -33*h**3 + 5912*h**2 - 2928440*h + 5833176. Let c(n) = -10*n**3 + 1971*n**2 - 976146*n + 1944392. Let p(v) = 10*c(v) - 3*s(v). Factor p(x).
-(x - 986)**2*(x - 2)
Let i(a) = 21*a**3 + 1161*a**2 - 2281*a + 1163. Let l(z) = -8*z**3 - 387*z**2 + 759*z - 388. Let g(n) = 3*i(n) + 8*l(n). Factor g(k).
-(k - 385)*(k - 1)**2
Let g(c) = -84*c**2 - 3404*c - 6904. Let v(w) = -26*w**2 - 1135*w - 2301. Let m(p) = -5*g(p) + 16*v(p). Solve m(h) = 0.
-2, 287
Let p(w) = -11*w**3 + 4*w**2 - 13
|
{
"pile_set_name": "DM Mathematics"
}
|
8614.649. What is v rounded to zero dps?
-38
Let m = -51.9311 + 7.4421. What is m rounded to 1 decimal place?
-44.5
Let w = 22 + 28. Let r = w + -6. Let k = -43.99992 + r. What is k rounded to 4 decimal places?
0.0001
Suppose 0 = 4*f - 3*t + 4*t + 93041474, -116301838 = 5*f - t. Let r = -9330368 - f. Round r to the nearest 100000.
13900000
Let t = -36766 - -36765.82313. Let d = t + 0.178. Round d to 3 decimal places.
0.001
Let x be -274*768 + (-60)/(-5). Round x to the nearest 10000.
-210000
Let l = 25.1 - -18.9. Let k = -43.99999656 + l. What is k rounded to six decimal places?
0.000003
Let i = 502063.627 + -502391. Let l = 323.01 + 3.99. Let g = i + l. What is g rounded to two decimal places?
-0.37
Let z = -24073.028678 + 24073. Round z to three decimal places.
-0.029
Suppose 2*m = -f - 41154, -21*f - 4*m = -17*f + 164584. Round f to the nearest one thousand.
-41000
Let x = -0.588608 + 51.804908. Let o = x + 374.2207. Let i = o + -426. Round i to 2 dps.
-0.56
Let n = -5.565 + 5.56500955. Round n to five dps.
0.00001
Suppose -3*t - 50 + 56 = 0. Suppose 25 - 99 = t*c. Let p = 36 + c. Round p to the nearest ten.
0
Let z = -110 - -292. Let d = 182.031 - z. What is d rounded to 1 decimal place?
0
Let d = -108 - -106.66. Let s = 1.34001164 + d. Round s to 6 decimal places.
0.000012
Let w = 122 + -124.05. Let y = w - 0.99. Round y to 1 dp.
-3
Let f(i) = -673438*i**3 - i**2 + 9*i + 20. Let g(t) = -t**3 - 2*t**2 + 13*t + 16. Let j be g(-4). Let k be f(j). What is k rounded to the nearest one million?
43000000
Let a(x) = -x**3 + 20*x**2 + 4*x + 30. Let k be a(20). Let f be ((-13210000)/(-3))/(-4 - k/(-30)). Round f to the nearest one million.
-13000000
Let y be (-14)/21*(135 + 0). Let m be (-4)/(-26) - y/(-78) - 2. Let g(x) = -11*x - 9. Let c be g(m). Round c to the nearest 10.
20
Suppose 23654 + 16815 = 13*x. Suppose 2*k + 5*u + x = 0, 3*k + 3368 + 1305 = -4*u. Let s be k*(-1)/3 + 1/3. Round s to the nearest 100.
500
Let m(w) = 7*w + 12. Suppose -2*s - 4 + 18 = 0. Let n be m(s). Let i = n - 34. What is i rounded to the nearest 10?
30
Let l = -140153 - -1222223. Round l to the nearest 10000.
1080000
Let i = -5197 + 5196.3956. What is i rounded to one dp?
-0.6
Let f be (-3)/(4/(-104)*6). Let g = 17 - f. Suppose g*z = -2*z - 196800000. Round z to the nearest one million.
-33000000
Let o = -370.23 - -372. Let u = -8.53 + o. What is u rounded to the nearest ten?
-10
Let n = -1602492033.9999681 + 1602492122. Let m = 88 - n. What is m rounded to six decimal places?
-0.000032
Let a = 4488.00016531 - 4488. What is a rounded to 6 dps?
0.000165
Let q be (-1 + 7 + 141394)/(1 - 39/40). Round q to the nearest one hundred thousand.
5700000
Let p = -66388.21038 - -66389. Let a = -0.79 + p. What is a rounded to five decimal places?
-0.00038
Suppose -2*m - 3*d = -317 + 70, -5*m - 3*d = -595. Suppose 5*a = 5*b - 240, -a - 2*b = a + m. Round a to the nearest ten.
-50
Let o = 0.0469 + 1.3266. What is o rounded to one decimal place?
1.4
Let u = -0.083 + -8.717. Let m = 1.2 + u. Let d = -0.1 + m. Round d to the nearest integer.
-8
Let h = 15.469 + -15.469007719. What is h rounded to 7 decimal places?
-0.0000077
Let c = 1176550 - 533876. Let r = -446664 + c. Suppose 2*h + 7472 + 149332 = -4*o, 5*h = -5*o - r. What is o rounded to the nearest one thousand?
-39000
Let t = 9359 - 9358.9687881. What is t rounded to four dps?
0.0312
Let v = 1367.8776432 + 27.1217258. Let m = v + -1395. Round m to 4 decimal places.
-0.0006
Let f = -306 - -306.0665. Let k = f - 77.1665. Let s = k + 77.0537. What is s rounded to 2 decimal places?
-0.05
Suppose 2*h - 7*h + 237923000 = 0. Let d = 233 - 228. Suppose 0 = -d*n + h + 25415400. Round n to the nearest one million.
15000000
Let p = -17 + 67. Let x be ((-29825)/p)/((-2)/(24/2)). Suppose -x = 5*s + 221. What is s rounded to the nearest one thousand?
-1000
Let x = -1441 - -738. Let c = 702.99707 + x. What is c rounded to 4 dps?
-0.0029
Let o = -40.06391 + 0.03991. What is o rounded to the nearest 10?
-40
Let k = 1.459 - 1.38. Let w = k - 0.0790069. Round w to five decimal places.
-0.00001
Let m = 11076.3 + -11601. What is m rounded to the nearest one hundred?
-500
Let w = 205.35 - 109.54. Let r = w - 98. Let f = r + 2.19397. Round f to 4 decimal places.
0.004
Suppose -27*u - 41 = 67. Let p be -11 - -15 - 112344/u. What is p rounded to the nearest ten thousand?
30000
Let a(i) = 2*i**3 + 7*i**2 - 3*i + 4. Let r be a(-4). Suppose 2*c + 4*l - 7*l - 13394 = 0, c + 2*l - 6704 = r. Round c to the nearest 10000.
10000
Let v = 307 + -307.003694. What is v rounded to four dps?
-0.0037
Let l = 10.12289 + -1.47319. Round l to one decimal place.
8.6
Let o be ((-35977533)/9 - (-28)/42) + 3. What is o rounded to the nearest ten thousand?
-4000000
Let t = 1.6309 + -1.63046108. Round t to five decimal places.
0.00044
Suppose 2369346553 = -160*j + 683266553. Round j to the nearest one million.
-11000000
Let g(r) = 2*r**3 - 2*r**2 - 9*r - 8. Let i be g(3). Let x = -69 - -178. Suppose -6*o + x = i. What is o rounded to the nearest integer?
18
Suppose -28 = -3*n - 10. Suppose -11*y - n = -5*y. Let c be (-127 - -1)*(0 + y). What is c rounded to the nearest 10?
130
Let h = 84967766.121409558 + -0.121409558. Let a = 84967760.89999797 - h. Let p = a - -5.1. Round p to seven dps.
-0.000002
Let d = 9455.771 - 9463. Round d to one dp.
-7.2
Let u = 0.05108 - 0.0510819487. What is u rounded to 6 decimal places?
-0.000002
Let k = 449.132 - 449. Let s = 0.13399 - k. What is s rounded to three decimal places?
0.002
Let c = -608 + 492. Let q = 122.83 + c. What is q rounded to 1 decimal place?
6.8
Let y = -6.098026048 - -6.098. Round y to seven dps.
-0.000026
Let m = -942.02 + -14.98. Let f = 962.27 + m. Round f to zero dps.
5
Let a = 1764 + -1763.9997956. What is a rounded to 6 dps?
0.000204
Let r = 4930.7 + -4930.599548. Round r to two decimal places.
0.1
Let h = 229.32 - 232.362. Round h to 1 dp.
-3
Let c be 126/28*2/3. Suppose 0 = c*v - 5*y - 12, 7*v = 4*v - 4*y + 39. Suppose -v*n + 51988 = 237388. What is n rounded to the nearest one thousand?
-21000
Let q be (204/5)/((-42)/525). Let m = 1456 + q. Let k = m - 1846. Round k to the nearest one thousand.
-1000
Let v = -0.061 + 32.061. Let g = -9 + v. Let s = 35.8 - g. What is s rounded to zero dps?
13
Suppose -57*y = -55*y - 15756. What is y rounded to the nearest 100?
7900
Let b = 3584.6 + -2772. Round b to the nearest 10.
810
Let i = -126.320004035 - -126.32. What is i rounded to 6 decimal places?
-0.000004
Let v = 55224 - 55224.45381. Round v to 3 decimal places.
-0.454
Let p be ((-17568)/168)/((-11)/847). Round p to the nearest one hundred.
8100
Let y = -2236597219.9602 - -2236279276. Let b = y - -317816. Let o = -128 - b. Round o to three dps.
-0.04
Let y = 246 - 264. Let q(g) = 22347*g**2 + 21*g - 50. Let u be q(y). Round u to the nearest 100000.
7200000
Let b = -203 + -6. Let h = 215.676088592 + -6.676086732. Let f = h + b. What is f rounded to seven dps?
0.0000019
Let o = 46.50551 - -0.52849. Let f = 47 - o. Let j = f - 0.001. Round j to 2 dps.
-0.04
Let v = -203 + 219. Suppose 0 = -22*u + v*u - 3132. What is u rounded to the nearest 100?
-500
Let p = 737954.850613 + -738012.81. Let d = -0.210113 + p. Let k = d - 0.0305. What is k rounded to the nearest ten?
-60
Let c = -0.22 + -0.414. Let l = 675.964 - 676. Let x = c + l. Round x to one dp.
-0.7
Let k = -858.2 - -777. Let n = 81.1647 + k. Round n to 3 decimal places.
-0.035
Let x = -3936.6 + 3828. What is x rounded to the nearest 10?
-110
Let r be ((-6)/8)/(-1) - 120/32. Let i be (r/4)/((-66)/32 - -2). Suppose x + 3*g = -g - 273984, -i = -3*g. What is x rounded to the nearest ten thousand?
-270000
Let a = -4754700.800018 - -4754696. Let j = 4.8 + a. Round j to 5 dps.
-0.00002
Let b = -544201074 + 544245464.0162. Let r = 44378 - b. Let a = r + 12. What is a rounded to three dps?
-0.016
Let n = -24.5 + 50.7. Let g = 12.1 + n. Let o = g + -33. What is o rounded to 0 dps?
5
Let n = -4848776501.0000153 + 4848776157. Let i = 344 + n. Round i to 6 dps.
-0.000015
Let i = 29.81 + -0.81. Let l = 39 - i. Let p = l - 8.4. What is p rounded to the nearest integer?
2
Let d = -181 + 20. Let v = 160.99741 + d. Round v to four decimal places.
-0.0026
Suppose 0 = j - 3*j + h + 9,
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 4 m?
21/646
Two letters picked without replacement from ggaaaaaaaaagaaaagag. Give prob of picking 2 g.
10/171
Two letters picked without replacement from {y: 1, x: 2}. What is prob of picking 2 x?
1/3
Two letters picked without replacement from {d: 4, o: 1, r: 1, p: 4}. What is prob of picking 2 p?
2/15
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from jujjvfyvttjftt.
8/91
What is prob of picking 4 z when four letters picked without replacement from {n: 3, z: 4}?
1/35
Two letters picked without replacement from tznzvntzztqtzzqqtv. What is prob of picking 1 z and 1 v?
4/51
What is prob of picking 1 l and 2 r when three letters picked without replacement from tpollroraattrpollt?
1/68
Calculate prob of picking 3 c when three letters picked without replacement from crrrccrcccrrtccrrcr.
28/323
What is prob of picking 3 v and 1 l when four letters picked without replacement from jvvvbvlf?
2/35
Two letters picked without replacement from {n: 9, v: 2, f: 3, y: 1, l: 1, o: 3}. What is prob of picking 1 v and 1 y?
2/171
What is prob of picking 1 s and 1 a when two letters picked without replacement from {u: 1, v: 1, a: 2, s: 2}?
4/15
What is prob of picking 2 i when two letters picked without replacement from {q: 11, i: 9}?
18/95
Calculate prob of picking 1 f, 1 t, 1 u, and 1 q when four letters picked without replacement from tufffqqxffqfm.
18/715
What is prob of picking 1 i and 2 u when three letters picked without replacement from guiuttp?
1/35
What is prob of picking 4 b when four letters picked without replacement from bbjbjjbjbb?
1/14
Four letters picked without replacement from wwwwdwsdpwwww. Give prob of picking 2 d and 2 w.
36/715
Calculate prob of picking 1 c, 1 q, and 2 h when four letters picked without replacement from {t: 5, q: 3, c: 4, h: 7}.
21/323
Two letters picked without replacement from {y: 11, w: 2, e: 1}. What is prob of picking 1 y and 1 e?
11/91
Four letters picked without replacement from {l: 7, r: 1, d: 2, t: 4, a: 6}. What is prob of picking 1 r and 3 a?
4/969
Three letters picked without replacement from mmmcmcmkmkmmmmcmm. Give prob of picking 2 m and 1 c.
99/340
What is prob of picking 3 g when three letters picked without replacement from zzzzzzzzzzzggggg?
1/56
Two letters picked without replacement from {m: 1, h: 5, j: 9, f: 1}. What is prob of picking 2 j?
3/10
What is prob of picking 4 c when four letters picked without replacement from cvccccccv?
5/18
Calculate prob of picking 1 f and 2 x when three letters picked without replacement from xgnfogooxfgfngxxggb.
6/323
Three letters picked without replacement from {q: 5, x: 8, h: 5}. What is prob of picking 2 h and 1 x?
5/51
Two letters picked without replacement from utntttquququtxutnn. Give prob of picking 2 u.
10/153
Four letters picked without replacement from rppprrp. What is prob of picking 1 r and 3 p?
12/35
What is prob of picking 3 d and 1 n when four letters picked without replacement from ddddddndddn?
28/55
What is prob of picking 2 x when two letters picked without replacement from bbbxbxbbbxxxb?
5/39
What is prob of picking 1 l and 2 i when three letters picked without replacement from {l: 4, i: 15}?
140/323
What is prob of picking 3 q when three letters picked without replacement from adqqqdddqqq?
4/33
Four letters picked without replacement from {c: 2, h: 4, v: 5, i: 4, k: 1}. Give prob of picking 1 i, 1 k, and 2 h.
6/455
Four letters picked without replacement from jhjmmmhyjkmhjjjkkj. What is prob of picking 1 k, 1 y, 1 m, and 1 j?
7/255
Two letters picked without replacement from {s: 2, n: 2, j: 1, i: 1, e: 2, d: 1}. What is prob of picking 2 e?
1/36
Two letters picked without replacement from {z: 1, j: 1, d: 2, h: 9}. Give prob of picking 1 j and 1 d.
1/39
Two letters picked without replacement from kaedt. What is prob of picking 1 t and 1 k?
1/10
What is prob of picking 1 g, 1 h, and 1 l when three letters picked without replacement from oghghrzgrzzohzlzor?
3/272
Calculate prob of picking 2 g when two letters picked without replacement from oogkoggogkkooogog.
15/136
What is prob of picking 4 r when four letters picked without replacement from rrrrrr?
1
Three letters picked without replacement from xjjj. What is prob of picking 1 x and 2 j?
3/4
What is prob of picking 1 o, 1 x, and 1 d when three letters picked without replacement from iiidxddoxdoodxddoxid?
32/285
Calculate prob of picking 3 v when three letters picked without replacement from {v: 9, h: 7}.
3/20
What is prob of picking 2 j and 1 p when three letters picked without replacement from {f: 6, o: 6, j: 4, p: 1}?
3/340
Calculate prob of picking 1 j and 2 w when three letters picked without replacement from wwkj.
1/4
Three letters picked without replacement from ddddydddddddddd. Give prob of picking 3 d.
4/5
What is prob of picking 1 f and 1 u when two letters picked without replacement from uffufufcffaafffuf?
5/17
Three letters picked without replacement from caehxucehuhcccccuu. Give prob of picking 1 e and 2 c.
7/136
What is prob of picking 3 j when three letters picked without replacement from {o: 5, j: 11}?
33/112
Calculate prob of picking 2 x when two letters picked without replacement from {i: 5, x: 5, e: 3}.
5/39
What is prob of picking 2 m and 2 c when four letters picked without replacement from aamnmmmmnmcmmmcn?
9/455
Calculate prob of picking 2 l, 1 p, and 1 t when four letters picked without replacement from pliprkikrpplpltipl.
1/85
What is prob of picking 1 i, 1 h, and 1 j when three letters picked without replacement from {b: 4, n: 1, i: 1, h: 1, j: 1}?
1/56
Four letters picked without replacement from {m: 13, h: 3}. What is prob of picking 1 m and 3 h?
1/140
Calculate prob of picking 2 j when two letters picked without replacement from {p: 4, j: 2, z: 2, n: 4, l: 1, e: 7}.
1/190
Two letters picked without replacement from hzvvlvhhvvvvzvvpv. Give prob of picking 2 h.
3/136
Two letters picked without replacement from {p: 6, b: 1, u: 1, x: 8}. Give prob of picking 1 x and 1 p.
2/5
Four letters picked without replacement from wpiuuiwitppptppwui. What is prob of picking 3 t and 1 p?
0
Three letters picked without replacement from bbubnbnnunnbbbb. What is prob of picking 3 n?
2/91
Calculate prob of picking 4 n when four letters picked without replacement from gnbbbgnbbnnnnbgbbn.
7/612
Calculate prob of picking 2 m when two letters picked without replacement from mmllmmee.
3/14
What is prob of picking 2 b and 1 h when three letters picked without replacement from {h: 4, b: 6}?
1/2
Two letters picked without replacement from {o: 1, l: 1, k: 5, p: 4, v: 3}. Give prob of picking 1 p and 1 l.
4/91
Three letters picked without replacement from nklqqyknqkkmqy. What is prob of picking 3 q?
1/91
Three letters picked without replacement from iuublbitbnnu. What is prob of picking 1 b, 1 i, and 1 u?
9/110
What is prob of picking 1 x, 1 g, 1 i, and 1 u when four letters picked without replacement from ijudgjjxxgxgdgudj?
6/595
Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {b: 3, l: 2, x: 2, w: 4, y: 1}.
1/33
Three letters picked without replacement from {r: 2, s: 9, v: 4, n: 3}. Give prob of picking 2 s and 1 r.
3/34
Three letters picked without replacement from dhdlkpgg. What is prob of picking 1 p, 1 d, and 1 l?
1/28
Two letters picked without replacement from {u: 6, t: 13}. What is prob of picking 2 u?
5/57
Calculate prob of picking 1 p, 1 h, and 1 t when three letters picked without replacement from hhdhhdhtdhphdhtd.
1/35
Calculate prob of picking 2 v and 1 f when three letters picked without replacement from {v: 6, f: 6}.
9/22
Calculate prob of picking 1 h and 1 m when two letters picked without replacement from mhn.
1/3
Two letters picked without replacement from {f: 4, g: 10}. Give prob of picking 2 f.
6/91
Calculate prob of picking 1 u, 1 x, and 1 i when three letters picked without replacement from {n: 1, u: 1, b: 1, x: 1, i: 1}.
1/10
Two letters picked without replacement from {n: 1, y: 10, a: 2, p: 3}. Give prob of picking 1 y and 1 n.
1/12
Two letters picked without replacement from {r: 3, f: 4}. Give prob of picking 2 f.
2/7
Four letters picked without replacement from {y: 2, a: 2, q: 2}. What is p
|
{
"pile_set_name": "DM Mathematics"
}
|
ere between 5:23 PM and 1:47 AM?
504
What is 254 minutes after 4:19 PM?
8:33 PM
How many minutes are there between 6:33 AM and 9:57 AM?
204
What is 238 minutes after 1:34 AM?
5:32 AM
How many minutes are there between 2:44 AM and 2:23 PM?
699
What is 719 minutes before 10:23 AM?
10:24 PM
How many minutes are there between 4:07 PM and 10:23 PM?
376
What is 209 minutes after 7:45 PM?
11:14 PM
What is 159 minutes after 5:10 PM?
7:49 PM
What is 14 minutes before 1:31 PM?
1:17 PM
How many minutes are there between 3:03 AM and 6:54 AM?
231
What is 323 minutes after 1:04 PM?
6:27 PM
What is 265 minutes after 6:47 AM?
11:12 AM
How many minutes are there between 2:38 AM and 1:39 PM?
661
How many minutes are there between 7:48 PM and 3:56 AM?
488
How many minutes are there between 6:56 PM and 8:43 PM?
107
What is 576 minutes after 12:23 PM?
9:59 PM
How many minutes are there between 6:39 AM and 4:15 PM?
576
How many minutes are there between 10:04 PM and 8:48 AM?
644
What is 605 minutes before 11:45 AM?
1:40 AM
What is 331 minutes before 9:26 AM?
3:55 AM
How many minutes are there between 11:31 PM and 4:41 AM?
310
How many minutes are there between 5:43 AM and 12:08 PM?
385
What is 525 minutes after 7:37 PM?
4:22 AM
What is 468 minutes after 1:41 AM?
9:29 AM
What is 313 minutes before 12:15 AM?
7:02 PM
What is 429 minutes before 8:31 PM?
1:22 PM
How many minutes are there between 4:08 PM and 11:20 PM?
432
What is 186 minutes after 1:31 PM?
4:37 PM
What is 250 minutes after 12:40 AM?
4:50 AM
How many minutes are there between 7:08 AM and 9:20 AM?
132
What is 181 minutes before 11:31 PM?
8:30 PM
What is 252 minutes before 8:09 PM?
3:57 PM
What is 121 minutes after 1:14 PM?
3:15 PM
What is 652 minutes before 1:05 PM?
2:13 AM
What is 44 minutes after 9:58 AM?
10:42 AM
How many minutes are there between 7:33 AM and 9:03 AM?
90
How many minutes are there between 8:56 AM and 2:21 PM?
325
What is 587 minutes after 8:47 PM?
6:34 AM
How many minutes are there between 5:11 PM and 11:55 PM?
404
How many minutes are there between 6:20 AM and 11:38 AM?
318
How many minutes are there between 5:45 AM and 11:02 AM?
317
What is 585 minutes after 9:55 AM?
7:40 PM
How many minutes are there between 6:22 AM and 7:50 AM?
88
How many minutes are there between 5:03 PM and 8:32 PM?
209
What is 145 minutes before 5:43 PM?
3:18 PM
How many minutes are there between 4:01 PM and 11:37 PM?
456
What is 235 minutes before 2:31 AM?
10:36 PM
What is 145 minutes before 2:03 PM?
11:38 AM
How many minutes are there between 6:06 AM and 7:13 AM?
67
What is 38 minutes after 8:34 AM?
9:12 AM
What is 300 minutes before 5:17 PM?
12:17 PM
How many minutes are there between 12:55 PM and 11:34 PM?
639
How many minutes are there between 4:28 PM and 6:06 PM?
98
How many minutes are there between 8:26 PM and 11:04 PM?
158
How many minutes are there between 11:47 AM and 6:32 PM?
405
How many minutes are there between 6:02 PM and 11:23 PM?
321
What is 9 minutes before 3:36 AM?
3:27 AM
How many minutes are there between 3:00 AM and 1:16 PM?
616
How many minutes are there between 3:13 AM and 12:59 PM?
586
What is 207 minutes after 5:01 AM?
8:28 AM
What is 376 minutes after 3:01 AM?
9:17 AM
What is 44 minutes after 12:03 AM?
12:47 AM
What is 145 minutes before 2:53 PM?
12:28 PM
What is 367 minutes before 12:57 PM?
6:50 AM
How many minutes are there between 11:29 PM and 6:30 AM?
421
How many minutes are there between 3:52 AM and 10:04 AM?
372
What is 491 minutes before 2:08 AM?
5:57 PM
How many minutes are there between 8:26 PM and 11:27 PM?
181
How many minutes are there between 5:06 AM and 12:58 PM?
472
How many minutes are there between 4:32 AM and 2:23 PM?
591
How many minutes are there between 5:52 AM and 1:53 PM?
481
How many minutes are there between 5:25 AM and 4:20 PM?
655
What is 706 minutes before 7:28 AM?
7:42 PM
What is 142 minutes before 8:05 AM?
5:43 AM
What is 572 minutes after 5:34 PM?
3:06 AM
How many minutes are there between 1:55 AM and 11:47 AM?
592
How many minutes are there between 10:04 PM and 9:05 AM?
661
How many minutes are there between 1:43 AM and 10:41 AM?
538
How many minutes are there between 4:51 PM and 9:15 PM?
264
What is 292 minutes after 3:15 PM?
8:07 PM
How many minutes are there between 1:06 AM and 6:50 AM?
344
What is 71 minutes after 8:22 PM?
9:33 PM
What is 252 minutes after 11:50 PM?
4:02 AM
What is 473 minutes before 1:50 AM?
5:57 PM
How many minutes are there between 11:05 AM and 1:22 PM?
137
How many minutes are there between 8:55 PM and 7:39 AM?
644
How many minutes are there between 7:15 PM and 3:59 AM?
524
How many minutes are there between 10:23 AM and 10:08 PM?
705
How many minutes are there between 3:37 AM and 4:04 AM?
27
How many minutes are there between 10:49 AM and 3:41 PM?
292
How many minutes are there between 1:40 AM and 6:19 AM?
279
What is 699 minutes before 10:19 AM?
10:40 PM
What is 295 minutes before 4:11 AM?
11:16 PM
What is 410 minutes before 5:02 AM?
10:12 PM
What is 398 minutes after 3:43 AM?
10:21 AM
How many minutes are there between 6:18 PM and 2:45 AM?
507
What is 321 minutes after 2:31 AM?
7:52 AM
How many minutes are there between 11:33 AM and 11:04 PM?
691
What is 344 minutes before 4:22 PM?
10:38 AM
What is 556 minutes after 9:17 AM?
6:33 PM
What is 675 minutes after 8:14 PM?
7:29 AM
How many minutes are there between 11:36 PM and 5:00 AM?
324
What is 88 minutes after 11:58 PM?
1:26 AM
What is 160 minutes after 4:17 PM?
6:57 PM
What is 67 minutes after 11:59 AM?
1:06 PM
What is 699 minutes before 7:12 PM?
7:33 AM
How many minutes are there between 9:56 AM and 9:27 PM?
691
What is 474 minutes after 9:32 AM?
5:26 PM
What is 40 minutes before 8:00 PM?
7:20 PM
What is 443 minutes after 7:17 PM?
2:40 AM
What is 708 minutes after 2:32 AM?
2:20 PM
What is 4 minutes before 5:10 AM?
5:06 AM
How many minutes are there between 1:04 PM and 11:21 PM?
617
What is 209 minutes after 12:01 AM?
3:30 AM
What is 126 minutes after 9:28 PM?
11:34 PM
What is 655 minutes before 1:04 PM?
2:09 AM
What is 410 minutes before 12:31 PM?
5:41 AM
How many minutes are there between 7:24 PM and 6:53 AM?
689
What is 682 minutes after 3:58 PM?
3:20 AM
What is 643 minutes before 4:38 AM?
5:55 PM
What is 318 minutes before 8:31 AM?
3:13 AM
What is 371 minutes before 11:28 AM?
5:17 AM
What is 568 minutes after 1:57 PM?
11:25 PM
What is 360 minutes after 5:31 AM?
11:31 AM
What is 398 minutes before 3:54 AM?
9:16 PM
How many minutes are there between 12:40 PM and 11:07 PM?
627
What is 454 minutes before 11:07 PM?
3:33 PM
How many minutes are there between 12:24 AM and 2:06 AM?
102
What is 680 minutes before 2:41 PM?
3:21 AM
How many minutes are there between 1:03 AM and 9:37 AM?
514
What is 401 minutes before 8:50 PM?
2:09 PM
How many minutes are there between 2:15 PM and 10:20 PM?
485
What is 618 minutes after 12:49 PM?
11:07 PM
How many minutes are there between 6:38 PM and 7:41 PM?
63
How many minutes are there between 2:34 AM and 7:11 AM?
277
What is 54 minutes before 3:09 PM?
2:15 PM
How many minutes are there between 6:49 AM and 11:35 AM?
286
How many minutes are there between 1:41 AM and 12:01 PM?
620
What is 699 minutes before 2:13 AM?
2:34 PM
How many minutes are there between 4:28 PM and 7:07 PM?
159
What is 492 minutes after 9:58 AM?
6:10 PM
How many minutes are there between 11:11 PM and 12:13 AM?
62
How many minutes are there between 7:16 AM and 6:44 PM?
688
How many minutes are there between 6:05 PM and 12:39 AM?
394
How many minutes are there between 9:41 PM and 1:37 AM?
236
What is 321 minutes after 1:36 AM?
6:57 AM
What is 405 minutes before 2:39 AM?
7:54 PM
What is 444 minutes before 5:44 AM?
10:20 PM
How many minutes are there between 6:22 PM and 5:19 AM?
657
What is 104 minutes before 10:50 PM?
9:06 PM
What is 491 minutes before 10:10 AM?
1:59 AM
How many minutes are there between 5:46 PM and 11:14 PM?
328
What is 676 minutes after 7:41 AM?
6:57 PM
What is 388 minutes after 10:39 PM?
5:07 AM
What is 692 minutes before 8:54 PM?
9:22 AM
What is 508 minutes before 1:38 AM?
5:10 PM
What is 67 minutes before 4:41 AM?
3:34 AM
How many minutes are there between 10:28 PM and 3:28 AM?
300
What is 110 minutes after 10:33 PM?
12:23 AM
How many minutes are the
|
{
"pile_set_name": "DM Mathematics"
}
|
equal to 0?
True
Which is smaller: 9097/6 or 1515?
1515
Which is smaller: 128 or 122?
122
Which is smaller: 3750 or 3751?
3750
Which is bigger: 1 or 1/2213?
1
Is -49 greater than or equal to -52?
True
Is -20/3757 at least as big as -1?
True
Which is greater: 638 or 634?
638
Is -33 > 20?
False
Which is greater: 0.21041 or 0.1?
0.21041
Are 0.1 and 0.612 non-equal?
True
Which is smaller: 916 or -1.1?
-1.1
Which is smaller: 0.6 or 1?
0.6
Is -6 greater than or equal to -360/53?
True
Which is greater: 1 or 184/117?
184/117
Is 0.4 > -184?
True
Which is bigger: 1 or -2/493?
1
Which is smaller: -2 or -155.9?
-155.9
Is 1 bigger than 3/58?
True
Are 20089 and 1 unequal?
True
Is 13 greater than -1?
True
Is -43 >= -127/3?
False
Are 5 and 109/21 unequal?
True
Do -6 and -128/21 have the same value?
False
Which is greater: 14 or 16?
16
Is -239 < -237?
True
Is -30/829 >= -1?
True
Are 2/3 and -29/7 unequal?
True
Is -0.03 greater than 1/29?
False
Is 1 less than 25/28?
False
Is -1 at least -7/8?
False
Which is greater: -3/1288 or 1?
1
Are -17.54 and 0 non-equal?
True
Is -1.608 equal to 2?
False
Which is smaller: -1631/4 or -408?
-408
Which is smaller: -216 or -210?
-216
Is -1 equal to 0.0006?
False
Which is greater: 0 or 25/576?
25/576
Which is bigger: -61 or -1/15?
-1/15
Which is bigger: 527 or 526?
527
Is 4240 >= 4240?
True
Is 10074 >= -0.1?
True
Is -84 at most as big as -78?
True
Which is greater: 0.27 or 161?
161
Are -11/328 and -1 non-equal?
True
Which is bigger: -4098 or -4097?
-4097
Which is bigger: 1 or -4/1535?
1
Is -1 not equal to -2/161?
True
Which is smaller: -25456 or 1?
-25456
Is -30 <= -32?
False
Which is greater: -24341 or -24340?
-24340
Are -23 and 231 nonequal?
True
Which is greater: -92 or -89?
-89
Are 0 and 13/24 nonequal?
True
Which is greater: -3696 or -3695?
-3695
Is -36 bigger than 0?
False
Is 0 smaller than -27/28?
False
Is 4/21 at least 6?
False
Which is greater: 2 or 35/38?
2
Which is smaller: -103 or 4/7?
-103
Which is bigger: -2/7415 or -1?
-2/7415
Is -1 equal to 2/5?
False
Are 1 and -2/303 equal?
False
Which is smaller: 47 or 36?
36
Which is bigger: -76/13 or -7?
-76/13
Is 45/4 at least as big as 11?
True
Are 1/5 and -988 unequal?
True
Which is smaller: 2/2523 or 1?
2/2523
Is 54 at least as big as 1/39?
True
Which is smaller: -0.1 or 1868?
-0.1
Which is bigger: -222 or -229?
-222
Which is greater: -1714 or -1716?
-1714
Which is smaller: -1298 or -3?
-1298
Which is bigger: -212 or -213?
-212
Which is bigger: 725 or 726?
726
Which is greater: 0 or -98/81?
0
Which is smaller: -1 or 122?
-1
Which is greater: -307 or -310?
-307
Is -1230 != -1231?
True
Is -5 at least as big as -184/47?
False
Does 21 = 25?
False
Is 1865/7 less than or equal to 267?
True
Is -766 < -5361/7?
True
Is -22/3 bigger than 4/3?
False
Which is smaller: -26/213 or -1?
-1
Is 301 less than or equal to 307?
True
Is 1209 < 1208?
False
Is -3/13 less than -32?
False
Which is smaller: -2/15 or -10/7?
-10/7
Which is greater: -99 or -94?
-94
Which is smaller: -1 or -10/61?
-1
Which is smaller: -1031 or -1032?
-1032
Which is smaller: -1315 or -1313?
-1315
Is 131 less than 135?
True
Is 1/822 != 0?
True
Does 0 = 1/701?
False
Which is smaller: 24 or 15?
15
Which is smaller: 0.6 or -2/589?
-2/589
Which is bigger: 32 or 0.4?
32
Is 0.2 less than or equal to 6/169?
False
Which is bigger: -8/5 or 75/4?
75/4
Is -48865 less than or equal to -48865?
True
Does 0 = 29/61?
False
Is -238 <= 3?
True
Which is smaller: 0 or -11/28?
-11/28
Which is smaller: 20/743 or 0?
0
Which is greater: -15/463 or -1/2?
-15/463
Which is smaller: -32/87 or 0?
-32/87
Which is greater: -67 or -202/3?
-67
Is 40/11 >= 4?
False
Which is smaller: -5187 or -5183?
-5187
Are 289 and 288 equal?
False
Which is bigger: 171 or 164?
171
Which is smaller: -914 or -911?
-914
Which is bigger: -2/5 or 13/31?
13/31
Is 18588 less than 18589?
True
Is -28 < -24?
True
Which is greater: 1661 or 1663?
1663
Is -2 greater than 270?
False
Which is bigger: -210 or -200?
-200
Is -1/3 less than 7348?
True
Which is bigger: -43 or -2?
-2
Is -10/17 > -2.7?
True
Which is greater: 50 or 47?
50
Which is smaller: -35 or 2/5?
-35
Is 6 != 141/29?
True
Which is greater: 24 or -177?
24
Which is greater: -25 or -3?
-3
Which is smaller: -0.02 or -25.9?
-25.9
Which is smaller: 70 or 74?
70
Which is bigger: 69 or 72?
72
Is 73 at most as big as 0?
False
Is 20589 != 20591?
True
Is 2/341 equal to 1?
False
Which is smaller: -0.4787 or 1?
-0.4787
Which is bigger: 2/3035 or -1?
2/3035
Which is smaller: -0.52 or -210?
-210
Which is smaller: -13 or -16?
-16
Which is bigger: -1 or 2?
2
Is 3429/13 at most 263?
False
Which is smaller: -0.1 or 1633?
-0.1
Which is bigger: 0 or 9/22?
9/22
Is 36 at most -1?
False
Which is smaller: 1 or 124.2?
1
Which is greater: 502 or 501?
502
Are 3/476 and 1 nonequal?
True
Is 2/7 >= -173?
True
Which is smaller: -149 or -746/5?
-746/5
Is 0 not equal to -38/391?
True
Which is greater: 21042 or 21041?
21042
Is -0.1 at least as big as -7030?
True
Is -0.1 at most -3.57?
False
Which is smaller: 13/6 or 3?
13/6
Is 647 at most as big as 0?
False
Does 4015 = 4015?
True
Which is bigger: -1 or 2/17809?
2/17809
Which is smaller: 0 or 35/58?
0
Which is smaller: -1226 or -1209?
-1226
Which is smaller: 56 or 59?
56
Is -70351/3 bigger than -23450?
False
Which is smaller: -9 or -2?
-9
Is 0.3 != 3/166?
True
Which is bigger: -90 or -35?
-35
Is -2/223 greater than or equal to 0?
False
Which is smaller: -361 or -363?
-363
Is 74 at most 77?
True
Are -92/7 and 2 non-equal?
True
Is 1300 bigger than 1296?
True
Does -2492 = -0.2?
False
Is -4.5 <= -19?
False
Is 32 != 28?
True
Which is smaller: 68/7 or 10?
68/7
Which is greater: -2/12135 or 0?
0
Do 5 and 31/8 have different values?
True
Which is bigger: -6406 or -6405?
-6405
Which is bigger: 46 or 424/9?
424/9
Is 10 less than or equal to 2/3?
False
Is 0 at least -4/629?
True
Is 114/7 at most as big as -4?
False
Which is greater: -0.03 or -0.352?
-0.03
Which is bigger: 10 or -0.1839?
10
Is 611 less than or equal to 583?
False
Is 105 > -5/2?
True
Is 17/7 at most as big as -176?
False
Which is smaller: -64/17 or -5?
-5
Which is greater: 84 or 76?
84
Is -101 less than or equal to -101?
True
Which is smaller: 1.3 or 1/6?
1/6
Is 16111 at most 1?
False
Are -154 and -155 equal?
False
Which is greater: 109 or -2/3?
109
Which is greater: 1 or 2/325?
1
Which is smaller: 32/95 or -1?
-1
Which is greater: 1 or 10/3473?
1
Which is greater: 0 or 404?
404
Which is greater: 15 or -284?
15
Which is smaller: -49 or -43?
-49
Do 2/3 and -2 have different values?
True
Which is bigger: 5 or 0?
5
Is 3/640 at least as big as 1?
False
Is -1 at most as big as -10/23?
True
Which is bigger: 5307 or 5305?
5307
Which is smaller: 2/109 or 1?
2/109
Which is smaller: 1127 or 0.03?
0.03
Is 1/9681 bigger than 0?
True
Which is smaller: 0.0329 or 0.3?
0.0329
Is 316 < -2?
False
Which is smaller: 1 or 66.6?
1
Is -27 at least 0.03?
False
Is -2/25 not equal to -154/13?
True
Which is smaller: 4 or 14/3?
4
Which is smaller: 40 or 39?
39
Are 1368 and 0.1 equal?
False
Is -0.06 at least as big as -37/6?
True
Which is smaller: -7/664 or 1?
-7/664
Is 804 greater than 800?
True
Are 1822 and 1824 equal?
False
Do 1278 and 1278 have different values?
False
Which is greater: -1/2 or 1.23?
1.23
Do 435 and 1741/4 have the same value?
False
Which is greater: 1 or 3/5720?
1
Which is bigger: -4/1559 or 0?
0
Which is greater: -1169 or -1167?
-1167
Is 2 <= 47/22?
True
Which is greater: 1 or 19/1220?
1
Is 0.08 greater than 61.1?
False
Which is smaller: 67.9 or 2/3?
2/3
Which is smaller: 1/2430 or 0?
0
Which is greater: -479 or -478?
-478
Which is bigger: -106/99 or -1?
-1
Is 489 less than 487?
False
Is -1 less than or equal to 14/1347?
True
Which is greater: 2/7 or 0.1306?
2/7
Which is bigger: 0 or 1/87?
1/87
Which is smaller: -162 or -161?
-162
Is -154 bigger than -154?
False
Is 0.077 at most as big as 2?
True
Which is smaller: 154 or 155?
154
Is 8/21 at most -0.01?
False
Which is smaller: 8 or -2/9?
-2/9
Is 0.12 not equal to 0.56?
True
Is 448 != 448?
False
Is 416 < 416?
False
Is -9/1939 > 0?
False
Are -69 and -78 equal?
False
Which is smaller: -779/7 or -111?
-779/7
Which is smaller: 1714/13 or 133?
1714/13
Which is smaller: 34 or 1/2?
1/2
Is -798/13 < -61?
True
Is -
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 52*s - 8 = 48*s. Let y be z(s). Is y >= 32?
True
Let j = 961 - 961.2. Let g = -2186/9 - -28388/117. Is g greater than j?
False
Let i = 5785 + -5707. Which is smaller: 71 or i?
71
Let x = 435 + -434. Is -1/1287 at least x?
False
Let a be (-18)/27 - ((-178100)/6)/(-10). Which is smaller: a or -2970?
-2970
Let j(i) = 444*i**3 - i**2 - i + 1. Let o be j(1). Let g = 442 - o. Which is bigger: 4/243 or g?
4/243
Let w be (-4)/(-14) - (-211)/(-28). Let g(u) = 2*u**2 + 26*u + 19. Let m be g(-13). Suppose -9*t - m = 10*t. Is w > t?
False
Suppose 2*i = 6*i + 92. Let d(q) = -3*q**2 + 57*q - 191*q + 67*q - 22 + 55*q. Let r be d(0). Are i and r equal?
False
Let x = -1839.9 + 1839.8. Which is bigger: 46/887 or x?
46/887
Let v be (-1 + (-7 - -7))*2. Let l be (-18)/4*v*(10 - 5). Which is greater: 1/2 or l?
l
Let h = 1273 - 2160. Let n = 29255/33 + h. Is 1 <= n?
False
Let l(y) = 5*y + 111. Let o(z) = -2*z + 40. Let r be o(31). Let c be l(r). Which is greater: -1/445 or c?
c
Let t be 282/(-72427)*23*(-1)/3. Let l(g) = -g + 1. Let c be l(1). Is c smaller than t?
True
Let b be 32/(-18) + 2 + 19/((-171)/11). Is b <= -2/5333?
True
Let w be (-7)/(-56)*-8*-52. Is 355/7 bigger than w?
False
Suppose -56*z + 54*z - 49 = -7*d, 5*z + 7 = d. Is -1/2494 smaller than z?
True
Let p = 1188.44 - 1194. Let n = 0.05 + -0.19. Let c = n + p. Which is bigger: c or -0.2?
-0.2
Let f be 2/5 + 8/(1040/5382). Which is smaller: -4 or f?
-4
Let b = -2/627 - -189995/4389. Which is smaller: 44 or b?
b
Suppose 2*d + 1 + 3 = h, -2 = 2*h + d. Suppose j - 5*j + 4 = h. Let x = -29062 - -29029. Is j less than x?
False
Let d = -15 + 2. Let s(w) = 71*w**2 + 241*w - 314. Let q be s(1). Is d < q?
True
Let u = -55 + -33. Let x be (u/10)/((-50)/125). Suppose x + 8 = -5*k. Which is bigger: -9/2 or k?
-9/2
Let d = -17163 - -17164.5. Is d smaller than -567?
False
Let q = 9.18 + 11.82. Let i = -44 - -64. Let j = i - q. Which is smaller: j or -2/75?
j
Let c be (19 + -14 + -4)/(-2*(-146)/8). Let t = 71 + -71. Which is smaller: t or c?
t
Let x = -44.4 + 351.4. Let y = x - 306. Is y less than 0.82?
False
Let c(n) = -52 - 17*n**2 - 8*n - 2*n**3 + 102 - 48. Let l be c(-8). Which is smaller: 3 or l?
l
Let o = -1866 + 1854. Is o at most 2.48?
True
Let t be ((-90)/(-4))/1 - (-3)/(-2). Let j be (-2)/(-6) + (77/t)/1. Let h be 3/(-1) + -5 + 13. Which is smaller: j or h?
j
Let s = -231 + 236. Suppose -2*i - 2*g = 0, -s*g - 30 + 5 = 0. Is i < -1?
False
Suppose -5*f - 2*n = -4*n - 495, 515 = 5*f + 2*n. Suppose -4*u + 77*u - 7400 = -u. Which is smaller: u or f?
u
Let w = -2/13295 + 186328/1316205. Which is smaller: 1 or w?
w
Let q = -10085 - -201699/20. Are q and -29 nonequal?
True
Suppose -76*j + 9 = -73*j. Suppose -9*g = -j*g + 294. Is 1 != g?
True
Let r(p) = 3*p**2 + 9*p + 4. Let t(v) = -v**2 + 1. Let h(g) = r(g) + 2*t(g). Let c be h(-8). Let x = 0.009 - 7.009. Is x not equal to c?
True
Let v = 454.8 + -605.8. Are 80/9 and v non-equal?
True
Let n(k) = -15*k + 3974. Let d be n(38). Which is greater: 3405 or d?
3405
Let a be 0*((-75)/(-10) + -7). Is -8/457 smaller than a?
True
Let j(x) = 9*x + 125. Let l be j(-11). Let r be 169/l - (-14)/(-2). Which is smaller: r or 2/187?
r
Let j be 4 + 1197 + 1490/(-149). Is 1195 != j?
True
Suppose 3*s = -5*k - 60, 4*s - 24 = 4*k - 2*k. Which is bigger: -151 or k?
k
Suppose -6 = 32*l + 26. Does l = -4/2735?
False
Suppose 354 = -9*q - 123. Let j = q - -50. Let h be ((-14)/84)/((-1)/j). Which is greater: h or -7?
h
Let j be 2/(-2)*(5 - 5). Let a be (984 - j)/((-44)/8 + 4). Let v be a/1672 + (-3)/((-66)/4). Is 0 at least as big as v?
True
Let f = 81 - 91. Let o be (7 - 2674/280)*4. Is o less than f?
True
Let m = -51 - -41. Let v be ((-13)/m)/(9*(-4)/(-105)). Let b = 9/8 - v. Which is smaller: -3 or b?
-3
Let o = 30 + -32. Let i be (-76)/80 - (-3 + 0 - o). Is i greater than 1?
False
Let z(l) = -6*l**2 + 85*l - 35. Let h(r) = 12*r**2 - 171*r + 66. Let g(u) = 3*h(u) + 5*z(u). Let n be g(14). Is n > -230/7?
False
Let j be (3 + (-921)/228 + 0)/((-333)/(-9990)). Is j equal to -32?
False
Let x = -8454014/303 + 27901. Is 0 > x?
True
Suppose 11*r - 75*r - 13 + 77 = 0. Is r >= -11/150?
True
Let t = -151.68 - -151.58. Is t at least 4.69?
False
Let v(x) = 2*x**2 - 22*x - 485. Let m be v(22). Which is smaller: m or -12/169?
m
Suppose 26*s + 17*s - 9*s = -34. Let g = 1/1900 - 4027/431300. Which is smaller: s or g?
s
Suppose -4*o = 3*c + 184, 4*c + 208 = -0*o + 4*o. Let p = -546 - -604. Let b = p + c. Which is smaller: b or 1/2?
1/2
Let z = -1.619 + 0.019. Let l = z + 1.641. Let t = l - -17.959. Does t = 1/4?
False
Suppose 127*o - 13535 + 13301 = 34564. Is o greater than or equal to 253?
True
Suppose 0 = -5*g - 20, 3*r + 0*r = -2*g + 4. Let x = 186 - r. Is x less than or equal to 183?
True
Let o = -28.9281 + 0.0281. Let h = -9.9 - o. Which is greater: -3 or h?
h
Let b be (8/10)/((-2038986)/23710). Let c = b - -10/1647. Does -1 = c?
False
Let o be ((-6)/8)/(3/(-12)). Suppose -4*d = -5*g - 20, -g = -0*g - o*d - 7. Let n be (-4)/(-1) + (-16)/g. Is 23/4 > n?
False
Let w = -4.4 + 631.4. Let c = -610 + w. Is c < -25?
False
Let g = 21485 + -21484. Which is greater: -0.6721 or g?
g
Let d = -132742 - -1729284/13. Suppose 3*o = -958 + 118. Let i = o + d. Which is smaller: i or -1?
-1
Let q = 31054/8673 - 176/49. Let o be (-312)/590*(-7)/(-9). Let l = q - o. Which is smaller: l or -8?
-8
Suppose -g - 2*h = -19 - 19, 110 = 3*g + 2*h. Let z be (1 - -3 - g)/(-2). Is z at least as big as 27?
False
Suppose -l + 5*l - 16 = -5*s, 0 = -5*l - s - 1. Let n be (2 - l)*(-16)/72. Let f = 37.772 - -0.228. Is n >= f?
False
Suppose -28*n + 24*n = -12. Suppose -n*c + 4*s + 70 = -s, -2*c - s + 38 = 0. Is c less than 19?
False
Suppose 523*v - 635522 = -236*v - 137618. Let i = 1425 - 768. Is v at most i?
True
Suppose 6 = -g + 3*g. Suppose 2*k = -i + 1, i - 2*i + g*k - 9 = 0. Let s be 14/(-35)*(0 - -4). Which is bigger: i or s?
s
Let c be ((-2)/24 + 1)/((-85)/170). Let l = c + -21/2. Is -12 less than l?
False
Let q(c) = -110*c**2 + 570*c - 7. Let y be q(5). Do 88 and y have different values?
True
Let o be (-4)/10 + (-243)/(-45). Suppose d + 3 = o*u, 0 = u + 2*d - 0 + 6. Which is greater: 1/164 or u?
1/164
Let z be 14/(-12) - 6120/(-3024). Which is bigger: z or 0.0318?
z
Let f = 16017.968 + -16018. Which is greater: -1/50 or f?
-1/50
Let b be (-12 + (10 - 6))*(-450)/(-8). Let k be -8*b/1540*28/(-6). Is -10 < k?
False
Let k = 167/33 - 22753/4620. Let t be 255/(-1020)*(32/70)/(-1). Let j = k + t. Which is smaller: -1 or j?
-1
Let p be (-1 - -1) + (-3)/5. Let o = 150 + -133. Suppose -o*x - 7 = -10*x. Is x > p?
False
Let b(j) = -2*j**3 + 8*j**2 + 3*j - 10. Let n be b(4). Let y be (-42)/63*(-39)/n. Which is smaller: y or 12?
12
Let s = 12786.183 - 12715. Let h = -0.817 - s. Which is smaller: -1 or h?
h
Let j = -6640 + 6943.76. Let g = 304 - j. Which is smaller: g or -4/9?
-4/9
Let a = 77 + -68. Let o be -1*(-2)/110*(a + -11). Let f be (1 - 1) + 0 + 0. Is o bigger than f?
False
Let u be (1/349 + 0)*-1. Suppose 153 - 137 = -16*n. Are u and n equal?
False
Let u be (4/(-50)*((-1 - -16) + -20))/1. Are u and 6/6071 equal?
False
Let o(x) = -46*x**3 - 8*x**2 - 8*x + 8. Let g be o(-4). Let t be (400/g)/(116/23). Let d = t + -9/406. Are d and 0 unequal?
True
Let p(f) = f**3 + 3*f**2 - 7*f - 9. Let n be p(-6). Let a = 182 - 256. Is n at least as big as a?
False
Let p = -2376707/19 + 125299. Let s = p + -209. Let j = -2066 - -2066. Is j smaller than s?
True
Let u = 285 + -281. Let s(b) = -7*b + 26. Let f be s(u). Is f at most -74?
False
Let d(k) = 37*k**2 - 3*k + 98. Let s be d(-5). Is s bigger than 1041?
False
Let f be ((-344562)/8)/(198/48) - 9/(-33). Which is smaller: f or -10440?
f
Let s(b) = 6*b**2 - 3*b + 3. Let x be s(2). Suppose 0 = -x*f + 54*f - 8745. Which is greater: 266 or f?
266
Let g = 36 - 33.5. Let u = 29.5 - g. Let t = u + -28. Is t <= 4/21?
True
Suppose y - 5054 = -g, -3*y = -4*g + 2478 + 17710. Suppose -21*j - g = 4*j. Which is greater: -200 or j?
-200
Let s = -2432 + 2432. Which is smaller: s or -11/104?
-11/104
Let t = -3656.9 - -3657. Is -1263 less than t?
True
Let w(c) be the second derivative of -c**3/2 + 15*c**2/2 + 11*c. Let n be w(9). Which is smaller: n or -38/3?
-38/3
Let h(t) = -t**2 + 4*t + 2. Let u be h(4). Let o
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 4*y = 94 + 346. Calculate the remainder when y is divided by 20.
10
Suppose 0 = 5*t - 3*j - 32, 3*t + 5*j + 8 = -0*j. Calculate the remainder when 13 is divided by t.
1
Let c = 393 + -349. What is the remainder when c is divided by 12?
8
Suppose 0 = 6*z - 70 + 478. Let w = z - -114. What is the remainder when w is divided by 12?
10
Let o be (-52)/(-20) - (-6)/15. Suppose -3*q - 3*j = -24, 3*j = -o*q + 6*j. Suppose -2*x + x + q = 0. What is the remainder when 15 is divided by x?
3
Suppose -5 - 3 = -3*k - w, 0 = -5*k + w + 8. Suppose x = -0*x + k, -3*x = -t - 2. Calculate the remainder when (-119)/(-51)*(5 - 2) is divided by t.
3
Suppose -21*b + 9*b = -1656. What is the remainder when b is divided by 42?
12
What is the remainder when 209 is divided by (-3)/(-7) - (-4 - 1032/42)?
6
Let d(p) = p**2 + 2*p - 9. Let j be (2/(-4))/(((-14)/(-24))/(-7)). Suppose -2*m + 50 = 3*m. What is the remainder when d(j) is divided by m?
9
Calculate the remainder when 58/4*(3 - 1) is divided by (476/8)/7 - (-1)/(-2).
5
Let m = 28 + -61. Let b(w) = -w**3 + 3*w**2 + w - 5. Let n be b(4). Let p = n - m. Calculate the remainder when 60 is divided by p.
12
Suppose 39*m - 29*m - 1110 = 0. What is the remainder when m is divided by 38?
35
Let l(f) = 2*f**2 + 14*f - 16. Let r be l(-8). Suppose r = 23*b - 3*b - 420. Calculate the remainder when ((-62)/(-5))/(2/10) is divided by b.
20
Suppose 0 = -3*n + 3*c - 36, 7*c + 14 = -2*n + 4*c. Let o = n + 19. What is the remainder when 24 is divided by o?
6
Suppose 177 = 3*r + 4*x, 0 = 3*r - r + 4*x - 114. Let v(p) = 2*p**2 - 11*p - 10. What is the remainder when r is divided by v(7)?
8
What is the remainder when 168 is divided by 192/(-80)*580/(-16)?
81
Let i = -869 + 900. Calculate the remainder when 120 is divided by i.
27
Suppose v - 46 = -5*a + 10, -3*a + 5*v + 56 = 0. Calculate the remainder when -2 - -18*5/2 is divided by a.
7
Let c = 15539 - 15515. Let s = -16 - -255. What is the remainder when s is divided by c?
23
Suppose -y = 5*t - 90, -4*t - 58 = -y + 41. What is the remainder when y is divided by 20?
15
Let i(n) = n**3 + 26*n**2 + 22*n - 54. Calculate the remainder when 246 is divided by i(-25).
15
Let w = -2289 - -2291. Calculate the remainder when 247 is divided by w.
1
Suppose v = 3*q - 2663, -3*v - 893 = 7*q - 8*q. What is the remainder when q is divided by 81?
77
Let t be 1 + 0 + 13 - 2. Suppose -7*v = -t*v. Let a = 14 - v. What is the remainder when 27 is divided by a?
13
Suppose 0 = -3*b - l + 85, 3*l - 20 = -2*b + 25. Let g = 306 - -132. Suppose 171 = -3*d + g. Calculate the remainder when d is divided by b.
29
Suppose -1393*x + 2112 = -1382*x. What is the remainder when x is divided by 15?
12
Suppose 0 = z + 3*n - 16 - 6, 5*n - 18 = z. What is the remainder when 134 is divided by z?
1
Let s(b) = -b**3 - 6*b**2 + 12*b + 12. What is the remainder when s(-8) is divided by ((-92)/8)/((-1)/2)?
21
Suppose 0 = -65*b + 90*b - 45550. Calculate the remainder when b is divided by 25.
22
Let n be ((-20)/(-3))/4*3. Suppose 4*v + 2*t = 149 + 3, -v + 38 = n*t. Suppose -15 - 5 = -5*j, 4*g + j - 56 = 0. What is the remainder when v is divided by g?
12
Suppose 0 = 3*r - 5*l + 8*l - 339, -223 = -2*r - 5*l. Calculate the remainder when r is divided by 8.
2
Let u = 54 - 34. Let o(w) be the first derivative of w**2 + 3*w + 1. Calculate the remainder when u is divided by o(2).
6
Let i = -1110 - -1128. Suppose -2*a + 0*a - 8 = 0. Calculate the remainder when i is divided by (1 + (-3)/a)*4.
4
Let b be (18/(-5))/(10/(-25)). Suppose b*m - 153 + 27 = 0. Let o = 29 + -3. What is the remainder when o is divided by m?
12
Let h(c) = -72*c**3 + 3*c**2 + 9*c + 5. What is the remainder when h(-2) is divided by 34?
31
Suppose 0 = 2*x + x. Suppose x = -2*p - o - 3 + 20, 4*p = -o + 39. What is the remainder when 2*(4 + (-132)/(-8)) is divided by p?
8
Let g(z) = -z**3 - 7*z**2 - 11*z + 41. What is the remainder when g(-7) is divided by -4 - (68/(-4) - -3)?
8
Suppose 4*m + 8 = 0, -2*h - 3*m + 4 = -8. What is the remainder when 124 is divided by h?
7
Let b = -43 - -43. Suppose b = 5*s - 209 + 24. What is the remainder when 145 is divided by s?
34
Let q(r) = 5*r - 40. Calculate the remainder when 32 is divided by q(10).
2
Let t be (-4)/3*75/(-50). Suppose -t*b + 62 = -0*b. Calculate the remainder when b is divided by 8.
7
Calculate the remainder when 283 is divided by (366/(-9))/((-319)/33 + 9).
39
Suppose 4*a - 371 - 225 = 0. Let p = -229 - -267. Calculate the remainder when a is divided by p.
35
Suppose 0 = 4*j + 8, -v - 2*j + 292 + 1 = 0. Suppose v = 5*i - 3*c - 209, -4*c = -3*i + 308. Calculate the remainder when i is divided by 26.
22
Suppose -3*t - d + 67 = 0, -3*t - 3*d - 11 = -68. What is the remainder when 90 is divided by t?
18
Suppose 6*s = 4*s + 28. What is the remainder when 177 is divided by 957/21 + (-8)/s?
42
Suppose 0 = -d + 17 - 2. Let a = d - -22. What is the remainder when ((568/(-3))/(-4))/((-98)/(-147)) is divided by a?
34
Suppose 2*m - 298 = -t - t, -5*t = -m - 727. Let l be 595/4 + (-24)/32. Suppose 0 = 13*j - 9*j - l. What is the remainder when t is divided by j?
35
Let a(u) = u - 2 + 2*u + 4*u - 4*u. Calculate the remainder when 10 is divided by a(3).
3
Let s = 0 + 13. Let d(m) = -4*m**2 - 43*m - 42. Calculate the remainder when d(-7) is divided by s.
11
Let j = -32 + 34. Suppose j - 12 = 2*w, 5*v = -w + 110. Calculate the remainder when 135 is divided by v.
20
Suppose -60 = 12*g - 132. Suppose -k + 4 = -0*k. Suppose 2*p + p + 95 = 4*f, p - 91 = -k*f. What is the remainder when f is divided by g?
5
Suppose 0 = -d + 5 + 1. Let s = 15 + 0. What is the remainder when s is divided by d?
3
Let a be 0/(-5)*2/4. Let f be -9*(a - 1/3). Suppose 21 + 57 = f*s. Calculate the remainder when s is divided by 9.
8
Let l(h) = -h**2 - 24*h + 169. What is the remainder when l(5) is divided by 5?
4
Suppose g = -2*g + 27. Let n = -367 - -409. What is the remainder when n is divided by g?
6
Let b = 578 + -454. Calculate the remainder when b is divided by 43.
38
Suppose 73 = 3*s - 17. Suppose -15*n + 10*n + s = 0. Calculate the remainder when 21 is divided by n.
3
Let y = 82 + -60. What is the remainder when 196 is divided by y?
20
What is the remainder when ((-4)/42 + (-96368)/84)*-3 is divided by 12?
10
Let w(u) = -u**3 - 3*u**2 + 16*u - 9. Calculate the remainder when w(-9) is divided by 109.
6
Suppose 0 = -2*k + 65 + 73. Let f = 12 + -8. Suppose -15 = -f*i + k. Calculate the remainder when 39 is divided by i.
18
Let h be (-2)/(-3)*63/14. Suppose 0 = -3*k - 9, h*l + 4*k + 39 = 4*l. Let a = 319 + -309. Calculate the remainder when l is divided by a.
7
Let w(m) = -9*m**3 - m**2 + 4*m + 6. Calculate the remainder when 64 is divided by w(-1).
4
Let c = -2696 + 2697. Suppose -2*m = 2*m - 32. What is the remainder when m is divided by c?
0
Suppose 5*c - 43 - 152 = 0. Let a = 11 + 35. Calculate the remainder when c is divided by a*(-4)/(-8) + -2.
18
Suppose 4*d = 4*f + 328, 3*f - 45 - 49 = -d. Calculate the remainder when d is divided by 44.
41
Suppose 40*o - 4309 = -1189. Calculate the remainder when o is divided by 46.
32
Let r(l) = -2*l + 14. What is the remainder when 2*1/(-2) - (-1512)/14 is divided by r(-4)?
19
Let i = -93 + 168. Calculate the remainder when i is divided by 65.
10
Let n(l) = l**2 + 20*l - 48. What is the remainder when n(-23) is divided by 10?
1
Let p(j) = j**3 - 5*j**2 - 9*j + 7. Let b = -5 + 11. Let f be p(b). Let d = 18 + f. What is the remainder when 19 is divided by d?
5
Let f be -4*(-2)/5*(-5)/4. Calculate the remainder when (-40)/f*(2 - 1) is divided by 6.
2
Let j be (-3 + (-32)/(-12))*-15. Let i be (j + -6)*(-1 + -1). Calculate the remainder when ((-1)/2)/(i/(-292)) is divided by 19.
16
Let n = 83 - 5. Suppose 4*a + 3*s - 93 = 0, -3*a - 2*a + 125 = 2*s. What is the remainder when n is divided by a?
24
Suppose q + 4 = 3*l, -4*q + 25 = 5*l - 2*q. What is the remainder when 2/(-2) + (-31)/(-1) + l is divided by 18?
15
Suppose -2*w - 2*w - t + 153 = 0, w - 35 = 3*t. Let o = w - 28. What is the remainder when o is divided by 6?
4
Suppose -2*f = -2*s - 16, 7*f - 3*s - 30 = 3*f. Suppose -315 = -5*j + 5*z, -z - 213 = -3*j - f*z. Calculate the remainder when j is divided by 24.
18
Let a(d) = 27*d - 156. Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
9
What is -41.316 rounded to 0 decimal places?
-41
Round 40190 to the nearest 1000.
40000
Round -0.0001982 to four decimal places.
-0.0002
Round 0.0001233 to 4 dps.
0.0001
What is -0.050134 rounded to three dps?
-0.05
Round 169.91 to the nearest ten.
170
What is 51723.1 rounded to the nearest one thousand?
52000
What is 6.5669 rounded to zero decimal places?
7
What is 691200 rounded to the nearest 100000?
700000
Round -476740000 to the nearest 1000000.
-477000000
Round 23.441 to one decimal place.
23.4
Round 0.0000006523 to seven decimal places.
0.0000007
What is -143.116 rounded to the nearest ten?
-140
What is 0.000000339 rounded to seven dps?
0.0000003
What is 113000 rounded to the nearest 1000000?
0
What is -0.009177 rounded to four dps?
-0.0092
Round -0.00001668 to 7 decimal places.
-0.0000167
What is -0.00020212 rounded to 5 decimal places?
-0.0002
Round 996290 to the nearest 1000.
996000
Round 29150 to the nearest 10000.
30000
Round 0.0003262 to five dps.
0.00033
What is 5121500 rounded to the nearest ten thousand?
5120000
What is 0.000007277 rounded to 6 dps?
0.000007
What is -62.627 rounded to the nearest 10?
-60
Round 43.41 to the nearest ten.
40
What is -0.0048628 rounded to 3 decimal places?
-0.005
What is 0.00002674 rounded to five dps?
0.00003
What is -313000 rounded to the nearest one hundred thousand?
-300000
Round -7770 to the nearest 1000.
-8000
Round 0.000089997 to 6 decimal places.
0.00009
Round 180890 to the nearest one thousand.
181000
What is 0.004667 rounded to 4 decimal places?
0.0047
What is 56420 rounded to the nearest 10000?
60000
What is -9259 rounded to the nearest 100?
-9300
What is 1717000 rounded to the nearest one hundred thousand?
1700000
What is -179100000 rounded to the nearest 1000000?
-179000000
What is 0.165074 rounded to three decimal places?
0.165
What is -0.00006806 rounded to five dps?
-0.00007
Round -0.000001958 to seven decimal places.
-0.000002
What is 3385840 rounded to the nearest one hundred thousand?
3400000
What is 0.743 rounded to 1 decimal place?
0.7
What is -26.09 rounded to the nearest ten?
-30
Round -0.00001147 to 6 dps.
-0.000011
Round 0.0027441 to 3 decimal places.
0.003
Round 0.000007935 to seven decimal places.
0.0000079
Round -0.35833 to three dps.
-0.358
What is 0.0423 rounded to two decimal places?
0.04
Round 54.83 to 0 dps.
55
What is 0.8932 rounded to 1 dp?
0.9
What is 7062000 rounded to the nearest 1000000?
7000000
Round 137090000 to the nearest 1000000.
137000000
What is -0.0497 rounded to 2 decimal places?
-0.05
Round 0.00002145 to six decimal places.
0.000021
Round -1.5186 to 2 dps.
-1.52
What is 5.735 rounded to the nearest integer?
6
Round -0.00160065 to 4 decimal places.
-0.0016
What is 0.000001342 rounded to 7 decimal places?
0.0000013
What is -274883 rounded to the nearest ten thousand?
-270000
Round 3284000 to the nearest one million.
3000000
What is 0.000281 rounded to four dps?
0.0003
What is 192670 rounded to the nearest ten thousand?
190000
What is -0.001935 rounded to four decimal places?
-0.0019
What is -665000 rounded to the nearest one hundred thousand?
-700000
What is 566 rounded to the nearest one hundred?
600
What is 92346 rounded to the nearest 1000?
92000
What is 480 rounded to the nearest 100?
500
Round 43.042 to the nearest integer.
43
What is 54.22 rounded to zero dps?
54
What is 5632 rounded to the nearest one hundred?
5600
Round 1022.3 to the nearest ten.
1020
Round 1370 to the nearest 100.
1400
What is -424.59 rounded to the nearest 10?
-420
What is 0.01931 rounded to three decimal places?
0.019
What is 693 rounded to the nearest 100?
700
What is 0.4659 rounded to 1 dp?
0.5
Round 0.00008129 to 5 decimal places.
0.00008
Round -0.00021225 to five decimal places.
-0.00021
Round 0.00001916 to 7 dps.
0.0000192
What is 22868000 rounded to the nearest 100000?
22900000
Round 0.013 to one decimal place.
0
What is 0.5566 rounded to one decimal place?
0.6
What is -0.006716 rounded to 5 decimal places?
-0.00672
What is -0.03603 rounded to two decimal places?
-0.04
What is -372 rounded to the nearest 100?
-400
What is -7450 rounded to the nearest 1000?
-7000
What is 46637 rounded to the nearest one hundred?
46600
What is 518300 rounded to the nearest one hundred thousand?
500000
Round 0.016873 to three dps.
0.017
Round -2.58 to zero dps.
-3
What is -9560000 rounded to the nearest one hundred thousand?
-9600000
Round -0.92833 to one decimal place.
-0.9
What is -0.0023296 rounded to 3 decimal places?
-0.002
Round 0.00018081 to six decimal places.
0.000181
What is -377 rounded to the nearest 100?
-400
Round -4648 to the nearest one thousand.
-5000
What is 4895 rounded to the nearest one hundred?
4900
Round 0.008945 to 4 decimal places.
0.0089
Round 0.0000916 to 5 dps.
0.00009
What is -251390 rounded to the nearest ten thousand?
-250000
What is 84.3 rounded to the nearest 10?
80
Round -3925700 to the nearest 10000.
-3930000
What is 3005600 rounded to the nearest one million?
3000000
What is 0.171791 rounded to three decimal places?
0.172
What is -0.0001813 rounded to 4 decimal places?
-0.0002
Round -4.1778 to one decimal place.
-4.2
What is 4880000 rounded to the nearest one hundred thousand?
4900000
What is -0.000015735 rounded to five decimal places?
-0.00002
What is 0.000002933 rounded to 7 decimal places?
0.0000029
Round 39472000 to the nearest one hundred thousand.
39500000
Round -82.06 to the nearest ten.
-80
What is 8.8863 rounded to zero decimal places?
9
What is 3012100 rounded to the nearest 1000000?
3000000
Round -437.6 to the nearest 10.
-440
What is -0.039666 rounded to 4 decimal places?
-0.0397
What is 0.016822 rounded to 3 dps?
0.017
What is 29592000 rounded to the nearest one million?
30000000
Round 110 to the nearest ten.
110
Round 0.06362 to two decimal places.
0.06
Round -377660 to the nearest 10000.
-380000
Round -469250000 to the nearest 1000000.
-469000000
What is 2773.4 rounded to the nearest one hundred?
2800
What is -0.00003037 rounded to five decimal places?
-0.00003
What is 0.00001281 rounded to 7 decimal places?
0.0000128
Round -14860 to the nearest one thousand.
-15000
What is -12778300 rounded to the nearest 1000000?
-13000000
Round 0.000023386 to six decimal places.
0.000023
What is -625400 rounded to the nearest ten thousand?
-630000
What is -417.5 rounded to the nearest 10?
-420
Round -0.0026119 to 4 decimal places.
-0.0026
What is -0.01813 rounded to 3 dps?
-0.018
Round -55450 to the nearest ten thousand.
-60000
What is 0.002233 rounded to 4 dps?
0.0022
Round 2.186 to the nearest integer.
2
What is 0.0012 rounded to 3 decimal places?
0.001
What is 2250000 rounded to the nearest 1000000?
2000000
Round 2100000 to the nearest 100000.
2100000
What is -0.128988 rounded to two dps?
-0.13
Round 0.00021213 to five dps.
0.00021
Round -2995.7 to the nearest one thousand.
-3000
What is 24498000 rounded to the nearest 1000000?
24000000
What is -2.5271 rounded to 1 dp?
-2.5
What is -1325000 rounded to the nearest ten thousand?
-1330000
Round -721130000 to the nearest one million.
-721000000
Round -787.98 to the nearest integer.
-788
Round -13.57 to one decimal place.
-13.6
What is 2.2 rounded to the nearest integer?
2
What is 59022 rounded to the nearest 10000?
60000
Round -0.0113847 to four decimal places.
-0.0114
What is 733200 rounded to the nearest one hundred thousand?
700000
Round 0.03128 to 3 dps.
0.031
Round -7202700 to the nearest 1000000.
-7000000
Round -0.04222 to 2 dps.
-0.04
What is 34266000 rounded to the nearest 1000000?
34000000
What is -9.955 rounded to 1 decimal place?
-10
Round 0.095 to 2 decimal places.
0.1
Round -11169 to the nearest one thousand.
-11000
Round 90429 to the nearest one hundred.
90400
Round 0.00399 to 3 dps.
0.004
What is 1.4442 rounded to 1 decimal place?
1.4
What is -943200 rounded to the nearest one hundred thousand?
-900000
Round -0.442 to one dp.
-0.4
What is 2.742 rounded to 1 decimal place?
2.7
Round -423600 to the nearest one hundred thousand.
-400000
What is -0.0007272 rounded to four decimal places?
-0.0007
Round -33.86 to 0 decimal places.
-34
Round -0.018233 to 3 decimal places.
-0.018
What is -0.0000411 rounded to five decimal places?
-0.00004
Round 0.001616 to four dps.
0.0016
What is 0.00002
|
{
"pile_set_name": "DM Mathematics"
}
|
what is 1231 + -123500?
-122236
In base 11, what is -767202a - 1?
-7672030
In base 14, what is dcc4a2 + 3?
dcc4a5
In base 13, what is -49b - 953c?
-9a0a
In base 2, what is -11 + -101110001010111100010?
-101110001010111100101
In base 14, what is 21 - 51bc01?
-51bbc0
In base 4, what is -10 + -211012132132?
-211012132202
In base 14, what is -5a608 - -8c?
-5a55a
In base 10, what is 191 + -17655?
-17464
In base 16, what is -a2f9ea - 75?
-a2fa5f
In base 15, what is 28edc + c?
28ee9
In base 2, what is -100000101000 - 1001110100011101?
-1010010101000101
In base 2, what is 10 - 1110110101000101001100111?
-1110110101000101001100101
In base 5, what is -20330412 + 12314?
-20313043
In base 4, what is 10 - -32233210021?
32233210031
In base 7, what is 166 - -2306240?
2306436
In base 8, what is -410420 - -40?
-410360
In base 7, what is -22560406 + 44?
-22560332
In base 12, what is -45 + 390a70?
390a27
In base 15, what is -535a4c1 + -3?
-535a4c4
In base 13, what is 2 - -163cca6?
163cca8
In base 16, what is -c5129af - 2?
-c5129b1
In base 11, what is -124495 - 54?
-124539
In base 7, what is -6 + 211552?
211543
In base 6, what is 221 - 2353433?
-2353212
In base 4, what is 1312 - -23303223?
23311201
In base 14, what is -10 - -1533bb3?
1533ba3
In base 9, what is -4602 + 756?
-3735
In base 7, what is 4 + 3162135510?
3162135514
In base 4, what is 101121221 + -100021?
101021200
In base 4, what is -13330303112130 - -2?
-13330303112122
In base 13, what is -1510285 - -2?
-1510283
In base 16, what is 2843e88 - 4?
2843e84
In base 4, what is 1022212021 + -101102?
1022110313
In base 12, what is 1026 + -75a?
488
In base 7, what is 1150356 + 206?
1150565
In base 12, what is 44 + -54991a?
-549896
In base 3, what is 2210112202010 + 1100?
2210112210110
In base 10, what is 3303961 - -16?
3303977
In base 15, what is 1c + -105acb9?
-105ac9c
In base 13, what is -378c620 - -6?
-378c617
In base 5, what is 240321 - 10213?
230103
In base 15, what is -789b - 122?
-79bd
In base 12, what is -4 - -10a9221?
10a9219
In base 16, what is -804 - -38982?
3817e
In base 5, what is -12331203 + 21302?
-12304401
In base 12, what is -1b064909 - 1?
-1b06490a
In base 6, what is -433 + -114052?
-114525
In base 5, what is -2442 + 421411?
413414
In base 5, what is 231 - 1311243221?
-1311242440
In base 15, what is -ce2 - 10256?
-11048
In base 16, what is 36 - -328db4?
328dea
In base 9, what is 11276 + -721?
10455
In base 15, what is -40d058 + -6?
-40d05e
In base 13, what is 3ba155 - 0?
3ba155
In base 7, what is 100562604 + 2?
100562606
In base 10, what is 44727677 - -4?
44727681
In base 16, what is -b5d8 + -85?
-b65d
In base 11, what is -492940 + 36a?
-492581
In base 9, what is -7 + 2130888?
2130881
In base 7, what is 15 + -62146245?
-62146230
In base 14, what is -1da0167 + -57?
-1da01c0
In base 16, what is e5 - 136c5?
-135e0
In base 7, what is -44 + 3201?
3124
In base 8, what is 27501 - -352?
30053
In base 9, what is -4 + 132207345?
132207341
In base 14, what is -5 - 1886180?
-1886185
In base 13, what is -556c570 - -2?
-556c56b
In base 4, what is 211211 - -102012300?
102230111
In base 5, what is 41021 - -3022434?
3114010
In base 12, what is -774346 + 3?
-774343
In base 4, what is -1120121133 + -102003?
-1120223202
In base 13, what is a + 339ac?
339b9
In base 6, what is 5 - -115351345?
115351354
In base 3, what is -102021210 + 1102012?
-100212121
In base 16, what is 878f - -ab?
883a
In base 4, what is 10 - 11013031002113?
-11013031002103
In base 13, what is 227 - -7612?
7839
In base 8, what is -12742 + -11346?
-24310
In base 14, what is a5199 - 55?
a5144
In base 16, what is 58 + 9b151?
9b1a9
In base 12, what is 10b7546 - 1?
10b7545
In base 11, what is -19 + -2521314?
-2521332
In base 7, what is 203206365 + 13?
203206411
In base 2, what is 10010100101010101110 + -1001?
10010100101010100101
In base 6, what is -414302 - 44324?
-503030
In base 7, what is -45211163 + 2?
-45211161
In base 8, what is 406602 + 233?
407035
In base 3, what is 120200 + -10001?
110122
In base 14, what is -422 + -1097?
-14b9
In base 14, what is -1d78016 + 3?
-1d78013
In base 2, what is -10111111110 - 1000101000111001100?
-1000101011111001010
In base 2, what is -110110010000001110 + 110010111?
-110110001001110111
In base 7, what is 4 + 601314?
601321
In base 15, what is 171 - -cbd?
e3e
In base 6, what is 25 + -504335?
-504310
In base 10, what is -87 - 1962?
-2049
In base 6, what is 502430 - 125?
502301
In base 5, what is -3403 - 231123001?
-231131404
In base 4, what is -330302203 + -110?
-330302313
In base 16, what is -897 + 138f?
af8
In base 15, what is 21b + -2a8?
-8c
In base 10, what is 4 - -18037993?
18037997
In base 6, what is -33043 + 43154?
10111
In base 15, what is -a0e85 + -1?
-a0e86
In base 9, what is 72350 + 52?
72412
In base 6, what is 5204 - -113200?
122404
In base 5, what is -21 - 111430411?
-111430432
In base 8, what is -150 + 35512276?
35512126
In base 2, what is -110000011011011101010 - 110011?
-110000011011100011101
In base 5, what is 13 - 11131003410?
-11131003342
In base 4, what is 1012103031 - 30330?
1012012101
In base 11, what is 9302 - -564?
9866
In base 14, what is 35927d - 7?
359276
In base 12, what is -11a9 + -b6b28?
-b8115
In base 2, what is 10000001001 - 11100101111000?
-11010101101111
In base 4, what is -3221302 - 1023212?
-10311120
In base 10, what is -7369497 + 10?
-7369487
In base 4, what is 3 + -11102023220?
-11102023211
In base 8, what is -144570343 - -35?
-144570306
In base 5, what is -4440 + 240210?
230220
In base 6, what is 3 - -222212102?
222212105
In base 5, what is -11100242320 + 1?
-11100242314
In base 13, what is 129170 + -b8?
129085
In base 10, what is 9548152 + -1?
9548151
In base 15, what is 3 - -94b37?
94b3a
In base 4, what is 21203113 + -33110?
21110003
In base 14, what is -26953 - -369?
-265c8
In base 6, what is -15300433351 + -2?
-15300433353
In base 3, what is -10120 - -2220102?
2202212
In base 4, what is -1 + 21300311333?
21300311332
In base 7, what is -166511146 - -5?
-166511141
In base 11, what is 132519 + 170?
132689
In base 13, what is 61 - -422b?
428c
In base 14, what is -33bb3 + -52?
-33c25
In base 12, what is 267 - -6402?
6669
In base 15, what is 1369 + -378?
ee1
In base 7, what is -112 + -12650554?
-12650666
In base 10, what is 340 + -532675?
-532335
In base 16, what is 1 + 16716b95?
16716b96
In base 5, what is 2401011234 - -1?
2401011240
In base 10, what is 957 - 65371?
-64414
In base 4, what is -1110 + 321030022?
321022312
In base 11, what is -2560 + -35878?
-38328
In base 10, what is 5 + -6190929?
-6190924
In base 12, what is 2065 - -642a3?
66348
In base 3, what is 10222100 - 2121111?
1100212
In base 12, what is -19 - -2285932?
2285915
In base 6, what is 1303 + 250513202?
250514505
In base 8, what is 75550214 - -3?
75550217
In base 8, what is 7552 + 111346?
121120
In base 8, what is -66 + 7044421?
7044333
In base 15, what is 1b - -4d5a39?
4d5a55
In base 3, what is -1020 - 201221202110211?
-201221202112001
In base 4, what is 23002 - -3003001110?
3003030112
In base 16, what is b3da6 + 5a?
b3e00
In base 7, what is -2 - 1446213210?
-1446213212
In base 4, what is 121 - -10110101?
10110222
In base 4, what is -3 - -21220310132?
21220310123
In base 10, what is -23468 - 149?
-23617
In base 6, what is 31 - -3125014?
3125045
In base 8, what is -502765251 - 2?
-502765253
In base 13, what is 12767b08 - -3?
12767b0b
In base 14, what is 20a + -32ca0?
-32a94
In base 9, what is 24355140 + -1?
24355138
In base 2, what is 10 - -11111100101101001000?
11111100101101001010
In base 5, what is 2 - 103122140201?
-103122140144
In base 16, what is -580a + 7f?
-578b
In base 8, what is -47150 + -3624?
-52774
In base 13, what is -9cc8 + -29b?
-a296
In base 12, what is 197 + -1524318?
-1524141
In base 5, what is 1140014001201 - 3?
1140014001143
In base 12, what is -1021 + -2191?
-31b2
In base 6, what is -552141 + -54513?
-1051054
In base 5, what is -4 - 1031020033?
-1031020042
In base 2, what is 1010000000 + 10100001011110110?
10100010101110110
In base 14, what is -9 - -2c422?
2c417
In base 6, what is -41 + 22204412?
22204331
In base 7, what is -600126 - 6356?
-606515
In base 11, what is 15274 - -106a?
16333
In base 12, what is 3 + -225881?
-22587a
In base 4, what is 10 + -100022231313?
-100022231303
In
|
{
"pile_set_name": "DM Mathematics"
}
|
t integer?
-133
Suppose -3*q = -q + 19420. Let p be ((-2)/6)/((-7)/109410). Let y = q + p. What is y rounded to the nearest 1000?
-5000
Let n = -9611 - -9625.168. What is n rounded to zero decimal places?
14
Suppose -11 + 5 = -2*a. Suppose a*i = 3*m + 218391, -72809 = -m + 2*m + 3*i. Round m to the nearest ten thousand.
-70000
Let j = 84512.1 - 75890. Round j to the nearest 10.
8620
Let u = -42 - -49. Suppose -u*v + v - 30 = 0. Let k(r) = -4209*r**3 - 6*r**2 - 3*r + 10. Let y be k(v). What is y rounded to the nearest ten thousand?
530000
Let w = -0.23948089 + 0.23937. Round w to five decimal places.
-0.00011
Let j = 158.26097 - 158.4. What is j rounded to three decimal places?
-0.139
Let i = -1761.54 - -1761.5323039. Round i to four dps.
-0.0077
Let s(g) = 9460*g - 6 - 9460*g + 102*g**2. Let l be s(-2). What is l rounded to the nearest one hundred?
400
Suppose -19*v = -12*v - 155261463. Let w = v - 13320194. Suppose -3*d + d = -5*j + w, -j = -3. What is d rounded to the nearest one million?
-4000000
Let q = -4418.536 - -4.536. Let m = q + 4538.77. Let k = 125 - m. Round k to 2 decimal places.
0.23
Let a = -0.4 + 2. Let g = -1.4204735 - 0.1795348. Let o = g + a. What is o rounded to 6 dps?
-0.000008
Let f = -13847 - -19228.5. What is f rounded to the nearest one thousand?
5000
Let v = 58 + -57.5. Let f = 0.058 - -2.642. Let w = v + f. Round w to zero decimal places.
3
Let h = 0.056 - -3.444. Let d = h + -3.500263. Round d to five dps.
-0.00026
Suppose -4*n - 2*r + 152 = -r, 0 = -5*r. Let d(v) = 79*v + 122*v + 175*v + n. Let x be d(7). What is x rounded to the nearest one hundred?
2700
Let q = -8659269 - -4191269. Round q to the nearest one hundred thousand.
-4500000
Let i = -0.982211 - -0.9935. Round i to three dps.
0.011
Let n = -72.7269966667 - -72.727. Round n to seven dps.
0.0000033
Let p = -0.88 + 4.71. Let y = p - -0.87. Let q = y - 5.8. What is q rounded to the nearest integer?
-1
Let j = -61317552 - -61317661.9998112. Let h = j + -110. What is h rounded to five dps?
-0.00019
Let u(l) = -5 - 8*l + 106*l + 69 + 112. Let m be u(-17). What is m rounded to the nearest one thousand?
-1000
Let h = -36585585.16000649 + 36585585. Let f = -0.16 - h. Round f to 6 decimal places.
0.000006
Let r = 11211.980876 + -11212. Round r to 4 dps.
-0.0191
Suppose 2*k = -4*t - 19370 + 222358, -k + 3*t + 101504 = 0. Suppose 5*r = 2*q + k, 4*r - 82517 = -3*q - 1314. What is r rounded to the nearest 1000?
20000
Suppose -41*i = -43*i + 4176. Let u = i - 1418. What is u rounded to the nearest 100?
700
Let k = 58.821701 - 2831.813816. Let y = -2773 - k. Let d = y - -0.008. What is d rounded to 5 decimal places?
0.00012
Let a = -113.108649 - -113.09. Round a to 2 decimal places.
-0.02
Let q = 101.48 + -100. Let p = q - 1.4871. Round p to 3 decimal places.
-0.007
Let g = -129.926 - -129.9135393. What is g rounded to four dps?
-0.0125
Let b = -243356612 - -243356438.99999727. Let o = b + 173. What is o rounded to 6 decimal places?
-0.000003
Let t = 4.2868 + -0.0668. Let m = -4.2203274 + t. Round m to 5 dps.
-0.00033
Let r(i) = i**3 + 24*i**2 + 23*i - 1. Let x be r(-23). Let f be (-4)/x + 16/(-2). Let m be (141999 - -1) + 4 + f. Round m to the nearest ten thousand.
140000
Let h = 217 - 144. Let p = 73.00000314 - h. What is p rounded to seven dps?
0.0000031
Suppose 51720 - 11445 = 5*d. Suppose 8*x - d = 13*x. Let f = 731 + x. What is f rounded to the nearest 100?
-900
Let m = 562343312 - 562343306.87603567. Let j = -5.124 + m. What is j rounded to 6 decimal places?
-0.000036
Let l = -23.73 - 143.142. Let f = 167 + l. What is f rounded to 1 dp?
0.1
Let k = 9660 + 3454. Let l = -13139.683 + k. Let o = 26 + l. Round o to 2 decimal places.
0.32
Let v = 518576950 + -518576811.0000615. Let p = v + -139. What is p rounded to 5 dps?
-0.00006
Let n be (-4050520)/(-855) + 20/190 - (-4)/9. Round n to the nearest 100.
4700
Let i = 43.7 + 12.3. Let t = i - 45.2. Let f = t + -10.800000521. What is f rounded to seven decimal places?
-0.0000005
Let o = -86 + 87.88. Let c = -0.26 - o. Let h = -2 - c. Round h to 1 decimal place.
0.1
Let t = -139.75 + -118. Let y = t - 6.25. Let n = y + 264.00484. What is n rounded to 4 decimal places?
0.0048
Let y = 126.87 + -0.87. Let r = y + -118.4. Round r to the nearest integer.
8
Suppose 2*d = 72*d - 2240. Suppose 10963 - 32979 = d*g. Round g to the nearest one hundred.
-700
Suppose 3*v - 30 = -4*c, 12 = -2*c + 3*c + 3*v. Let x be -2 + 21 - ((-20)/(-5))/4. Let o be 846004/c + (-12)/x. Round o to the nearest ten thousand.
140000
Let b = 234 + -233.96. Let i = 0.17 - -0.01. Let o = i + b. Round o to one dp.
0.2
Let b = -0.027 - 26.173. Let l = -1029 + 1041.8. Let t = b + l. What is t rounded to zero dps?
-13
Let f = -0.35282 - -0.3674096. Round f to three decimal places.
0.015
Let y = -955.512 + 16.412. What is y rounded to the nearest 100?
-900
Let u = 2586 + -2533.56. What is u rounded to the nearest 10?
50
Suppose 0 = 2*b + 4*d + 14625816, 80*d - 85*d - 20 = 0. Round b to the nearest one hundred thousand.
-7300000
Let y = -256 - -316.3. Let q = y - 60.3000437. What is q rounded to five dps?
-0.00004
Let z = 1.1113 + -1.74. Let u = 1164.63 + -1164. Let v = u + z. What is v rounded to 4 dps?
0.0013
Let y = 322.871 - 323. Let s = y - -77.129. Let z = 77.000119 - s. What is z rounded to 5 decimal places?
0.00012
Let h = 4.5169 + -4.5168956414. Round h to 6 dps.
0.000004
Let c = 14.527 + -14.52754315. Round c to five dps.
-0.00054
Let z = -166392.608 + 164117. Let q = -2274.8269593 - z. Let i = -0.781 + q. Round i to 6 decimal places.
0.000041
Let x = -16.8 - -0.8. Let v = x - -20. Let n = v + -3.9999944. What is n rounded to 6 dps?
0.000006
Let u be (318/9)/((-4)/(-608568)). Let b be (-3)/12 + u/16. Suppose 4*s + 0*v = 4*v + b, -2*s + 167975 = -5*v. What is s rounded to the nearest ten thousand?
80000
Let h = -14904.9997557 + 14905. Round h to five decimal places.
0.00024
Let f = -18.83 - -18.830003589. What is f rounded to six decimal places?
0.000004
Let v = 40 + -38. Suppose 0 = -3*t + 9, k + v*t = 4*t + 864. Round k to the nearest one hundred.
900
Let u = -5.6406 + 6. Round u to 1 decimal place.
0.4
Let i = -775.26 - 0.74. Let b = 792.14 + i. Round b to 1 dp.
16.1
Let h = 432600 - 432720.02112. Let k = 120 + h. What is k rounded to three decimal places?
-0.021
Let v(b) = -4*b - 15. Let l be v(8). Let d = 47 + l. Suppose -2*i + 5*m = -156, -2*m = -5*i - d*i + 348. Round i to the nearest 10.
70
Let c = -187.4 - -1681.4. Let p = c + -1493.9999996779. What is p rounded to seven dps?
0.0000003
Let x = 544 - 540. Suppose 0 = -x*o - 4*a - 5604, -8*a - 1391 = o - 9*a. What is o rounded to the nearest one hundred?
-1400
Let c = -2.09 - -2.00835. Let m = 0.0914 + c. Round m to three dps.
0.01
Suppose 0 = -3*i + 24, -4*i - 6893518 = -167*o + 170*o. What is o rounded to the nearest 10000?
-2300000
Let v = 111.95 + -116.675. Round v to the nearest integer.
-5
Let z be (-9)/(-36) - (-2806270)/8. Suppose a + 2*m - 175407 = 0, 2*a = 3*m - m + z. Suppose -3*p - a = 412603. What is p rounded to the nearest 10000?
-200000
Let y = -7887432 + 13197432. Let i be -1*(1/2*(-17 - -13) - 30). Suppose i*u - y = 35*u. What is u rounded to the nearest 100000?
-1800000
Let p = -99099 + 99088.7534. Round p to 1 decimal place.
-10.2
Let g = -1068 + 1384.1. Let s = -316.11759 + g. Round s to 3 decimal places.
-0.018
Let r = -0.49 - -5.29. Let n = -11.8 + r. Let o = 6.99957 + n. What is o rounded to 4 decimal places?
-0.0004
Let c(u) = -9*u**3 - 8*u**2 + 3*u + 36. Let l be c(-12). Round l to the nearest 10000.
10000
Let f = -157 + 157. Let d(u) = -u**2 + 26*u. Let l be d(f). What is l rounded to the nearest integer?
0
Suppose 12*n = 81*n - 620172000. What is n rounded to the nearest 100000?
9000000
Let r = 2462.986597 + -2463. What is r rounded to four dps?
-0.0134
Let r = 4 + -30. Let x = r + 25.57. Let m = -1.13 - x. Round m to the nearest integer.
-1
Let t = -960.32 + -1.68. Let p = t + 962.0603. Round p to 2 dps.
0.06
Let x = -1803 - -1804.7728. What is x rounded to 1 decimal place?
1.8
Let u = -5132 + 4899.9. Let p = u + 242. Round p to 0 decimal places.
10
Let c = -68 + 48. Let j = -20 - c. Let t = j + -0.215. What is t rounded to two decimal places?
-0.22
Suppose -5 = 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
illennium in decades?
540
How many months are there in sixty-eight thirds of a year?
272
How many millilitres are there in 17/2 of a litre?
8500
What is thirty-three fifths of a millennium in years?
6600
How many millilitres are there in 6278.567 litres?
6278567
What is 43/4 of a litre in millilitres?
10750
How many kilograms are there in 1497.681t?
1497681
Convert 289749.1mm to kilometers.
0.2897491
What is 2/27 of a week in seconds?
44800
What is three fifths of a century in decades?
6
How many minutes are there in 0.7404486 milliseconds?
0.00001234081
How many millimeters are there in six fifths of a meter?
1200
What is 1/4 of a kilogram in grams?
250
How many minutes are there in one sixth of a week?
1680
How many decades are there in 6.1045 centuries?
61.045
Convert 0.8284659 milliseconds to seconds.
0.0008284659
What is one quarter of a day in minutes?
360
Convert 0.0648632 millimeters to centimeters.
0.00648632
What is 614.1735 milligrams in kilograms?
0.0006141735
What is 78.92319 weeks in seconds?
47732745.312
How many months are there in five sixths of a century?
1000
Convert 0.106108ug to nanograms.
106.108
How many millilitres are there in 27/5 of a litre?
5400
What is eleven quarters of a century in years?
275
How many millilitres are there in 1.576937 litres?
1576.937
What is seven sixteenths of a kilometer in centimeters?
43750
Convert 318.5154ml to litres.
0.3185154
What is seventy-three fifths of a litre in millilitres?
14600
How many milligrams are there in 31/5 of a gram?
6200
How many minutes are there in 67/5 of a day?
19296
What is 17/2 of a litre in millilitres?
8500
Convert 56.759526ms to hours.
0.000015766535
What is 3/10 of a decade in years?
3
How many centimeters are there in 3/10 of a meter?
30
How many micrometers are there in 4.941914 nanometers?
0.004941914
What is 1/27 of a week in seconds?
22400
What is 619.1104mm in micrometers?
619110.4
Convert 778.0509ml to litres.
0.7780509
What is twenty-one eighths of a microsecond in nanoseconds?
2625
How many seconds are there in 111595.8 days?
9641877120
What is 41/2 of a kilogram in grams?
20500
Convert 221738.6ml to litres.
221.7386
What is 967.2203 millimeters in centimeters?
96.72203
How many centuries are there in thirty-four fifths of a millennium?
68
Convert 0.52749ml to litres.
0.00052749
How many millilitres are there in three eighths of a litre?
375
How many nanometers are there in one twentieth of a micrometer?
50
Convert 588.4028 litres to millilitres.
588402.8
What is 19/4 of a litre in millilitres?
4750
What is 51/2 of a kilometer in meters?
25500
What is six fifths of a meter in centimeters?
120
How many tonnes are there in 559877.2 nanograms?
0.0000000005598772
How many decades are there in 3.756695 years?
0.3756695
How many minutes are there in seven quarters of a day?
2520
What is 3/10 of a litre in millilitres?
300
How many litres are there in 0.1358946 millilitres?
0.0001358946
How many millilitres are there in 37/5 of a litre?
7400
How many decades are there in 3/10 of a millennium?
30
Convert 4086.71l to millilitres.
4086710
How many centimeters are there in 21.2415 millimeters?
2.12415
Convert 77572.05kg to nanograms.
77572050000000000
How many decades are there in 1/5 of a millennium?
20
Convert 0.8367792 litres to millilitres.
836.7792
How many micrometers are there in three tenths of a millimeter?
300
Convert 9497.794 kilometers to meters.
9497794
What is 1238.94 milliseconds in hours?
0.00034415
What is 47/4 of a millimeter in micrometers?
11750
What is 15/4 of a century in years?
375
How many litres are there in 9898.361 millilitres?
9.898361
Convert 978.9876ug to kilograms.
0.0000009789876
What is one twentieth of a kilometer in meters?
50
How many days are there in 61.46057 weeks?
430.22399
What is seven quarters of a litre in millilitres?
1750
Convert 3888.08m to micrometers.
3888080000
How many months are there in 552.3782 years?
6628.5384
What is 967556.5 tonnes in nanograms?
967556500000000000000
How many millilitres are there in 4.253936l?
4253.936
Convert 196795.8s to hours.
54.6655
Convert 6.037693nm to millimeters.
0.000006037693
Convert 5.711956 kilograms to grams.
5711.956
Convert 9.448183 centuries to years.
944.8183
How many millilitres are there in sixty-seven quarters of a litre?
16750
What is twenty-one halves of a litre in millilitres?
10500
Convert 0.0815138 weeks to microseconds.
49299546240
Convert 54480.5um to centimeters.
5.44805
What is 11/4 of a kilogram in grams?
2750
Convert 649413.2 weeks to microseconds.
392765103360000000
How many minutes are there in 12/35 of a week?
3456
How many millilitres are there in 45/2 of a litre?
22500
What is 11/8 of a decade in months?
165
How many millimeters are there in 3/32 of a kilometer?
93750
How many minutes are there in 3/16 of a day?
270
How many centimeters are there in 1/10 of a kilometer?
10000
How many nanometers are there in 3/32 of a millimeter?
93750
Convert 6.52656 litres to millilitres.
6526.56
Convert 0.6746636 micrograms to kilograms.
0.0000000006746636
Convert 975846.2t to micrograms.
975846200000000000
What is 74.02655 millilitres in litres?
0.07402655
What is 2329115.7 months in centuries?
1940.92975
How many kilograms are there in eighty-one quarters of a tonne?
20250
What is twenty-seven quarters of a millennium in decades?
675
How many nanometers are there in one quarter of a micrometer?
250
What is 17.46488 millennia in decades?
1746.488
How many seconds are there in sixty-five thirds of a minute?
1300
What is three sixteenths of a day in minutes?
270
What is 1/20 of a micrometer in nanometers?
50
What is 0.8437858ug in milligrams?
0.0008437858
How many centimeters are there in 774.049 meters?
77404.9
How many millilitres are there in seven halves of a litre?
3500
How many microseconds are there in 997270.9 weeks?
603149440320000000
What is 46/5 of a tonne in kilograms?
9200
What is 0.5324892 kilometers in meters?
532.4892
Convert 0.6597842 micrograms to kilograms.
0.0000000006597842
What is seven eighths of a milligram in micrograms?
875
What is 4/75 of a century in months?
64
Convert 22106.42 milligrams to nanograms.
22106420000
Convert 233874.9 days to seconds.
20206791360
What is 5/4 of a litre in millilitres?
1250
How many months are there in five sixths of a millennium?
10000
Convert 96276.65 decades to centuries.
9627.665
Convert 1.828264 decades to years.
18.28264
What is 37243.16 decades in millennia?
372.4316
How many millilitres are there in seven halves of a litre?
3500
What is fourty-eight fifths of a litre in millilitres?
9600
Convert 527.0189l to millilitres.
527018.9
What is 37/2 of a litre in millilitres?
18500
How many micrograms are there in 95576.29g?
95576290000
What is 3/8 of a gram in milligrams?
375
How many nanograms are there in 9/10 of a microgram?
900
How many millilitres are there in fourty-five quarters of a litre?
11250
How many years are there in 769.88 millennia?
769880
What is 8/7 of a week in days?
8
Convert 858.807 microseconds to seconds.
0.000858807
How many millilitres are there in fifteen quarters of a litre?
3750
What is 34/5 of a microgram in nanograms?
6800
What is 0.2291906 years in decades?
0.02291906
What is three fifths of a milligram in micrograms?
600
How many litres are there in 0.6843528ml?
0.0006843528
How many millimeters are there in 21/5 of a meter?
4200
How many nanoseconds are there in twenty-one quarters of a microsecond?
5250
How many seconds are there in seventeen quarters of a hour?
15300
How many seconds are there in one eighteenth of a hour?
200
What is 19/4 of a litre in millilitres?
4750
What is 3/5 of a litre in millilitres?
600
What is 78.71724 micrometers in meters?
0.00007871724
How many nanometers are there in 6028.422um?
6028422
Convert 20.64922 nanoseconds to seconds.
0.00000002064922
What is 4/3 of a week in hours?
224
What is 74554.05km in centimeters?
7455405000
How many seconds are there in five quarters of a minute?
75
Convert 341.68806us to hours.
0.00000009491335
How many microseconds are there in three tenths of a millisecond?
300
What is 13/4 of a tonne in kilograms?
3250
How many seconds are there in 1/4 of a hour?
900
What is ninety-seven halves of a litre in millilitr
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1)*(c + 26)**2/9
Factor 2*x**4 + 41*x**3/2 + 7*x**2/2 - 15*x.
x*(x + 1)*(x + 10)*(4*x - 3)/2
Find q, given that q**2 + 3104*q = 0.
-3104, 0
Find a such that -a**3/8 + 5*a**2/8 + a/8 - 5/8 = 0.
-1, 1, 5
Determine a so that -20*a**4 - 225*a**3 + 185*a**2 + 60*a = 0.
-12, -1/4, 0, 1
Factor w**4/4 + 3*w**3/2 - 85*w**2/4 + 39*w/2.
w*(w - 6)*(w - 1)*(w + 13)/4
Suppose -2*g**2/7 + 174*g/7 - 172/7 = 0. Calculate g.
1, 86
Determine p so that -3*p**3/4 + 207*p**2/2 - 4761*p + 73002 = 0.
46
Find v, given that 2*v**3/7 + 22*v**2/7 + 78*v/7 + 90/7 = 0.
-5, -3
Factor 4*q**2 - 912*q + 51984.
4*(q - 114)**2
Factor 3*y**2 - 498*y.
3*y*(y - 166)
Factor -4*g**3 - 252*g**2 + 304*g + 3072.
-4*(g - 4)*(g + 3)*(g + 64)
Factor -r**5/2 + 48*r**3 - 256*r**2 + 384*r.
-r*(r - 4)**3*(r + 12)/2
Suppose -2*b**4/3 - 32*b**3/3 - 188*b**2/3 - 160*b - 150 = 0. What is b?
-5, -3
Solve 43*w**4/3 - 44*w**3/3 - 14*w**2 + 44*w/3 - 1/3 = 0 for w.
-1, 1/43, 1
Factor i**4/2 - 23*i**3/2 - 103*i**2/2 - 133*i/2 - 27.
(i - 27)*(i + 1)**2*(i + 2)/2
Suppose k**3/2 + 90*k**2 + 5400*k + 108000 = 0. What is k?
-60
Determine y so that y**3/8 - 3*y**2/4 - 13*y/8 + 21/4 = 0.
-3, 2, 7
Factor 2*m**2/23 - 124*m/23 + 122/23.
2*(m - 61)*(m - 1)/23
Find i, given that -5*i**2 - 25*i + 30 = 0.
-6, 1
Suppose -2*c**2 - 860*c - 92450 = 0. What is c?
-215
Factor 2*h**3 - 426*h**2 - 2610*h - 3942.
2*(h - 219)*(h + 3)**2
Factor -l**4 + 4*l**3 + 29*l**2 + 24*l.
-l*(l - 8)*(l + 1)*(l + 3)
Factor -b**2/4 + 1/4.
-(b - 1)*(b + 1)/4
Factor -4*w**4 + 12*w**2 + 8*w.
-4*w*(w - 2)*(w + 1)**2
Suppose 2*o**2/5 - 2*o - 60 = 0. Calculate o.
-10, 15
Solve -o**3/2 - 11*o**2/4 - 5*o/4 = 0 for o.
-5, -1/2, 0
Factor -2*s**4/9 + 8*s**3/3 + 6*s**2 + 28*s/9.
-2*s*(s - 14)*(s + 1)**2/9
Factor -4*d**3 + 1888*d**2 - 220884*d - 449352.
-4*(d - 237)**2*(d + 2)
Factor -27*d**5/8 - 39*d**4/4 - 21*d**3/4 + 9*d**2 + 93*d/8 + 15/4.
-3*(d + 1)**4*(9*d - 10)/8
Suppose 55*l**2/4 + l - 3/4 = 0. Calculate l.
-3/11, 1/5
Solve 2*v**3 - 1986*v**2 - 3978*v - 1990 = 0.
-1, 995
Solve -p**3/5 + 41*p**2/10 - 19*p/10 - 2 = 0 for p.
-1/2, 1, 20
Factor 4*r**2/5 - 9992*r/5 + 6240004/5.
4*(r - 1249)**2/5
Find p, given that 18*p**2/5 - 328*p/5 - 128 = 0.
-16/9, 20
Let -11*j**4/6 - 20*j**3/3 - 13*j**2/2 - j/3 + 4/3 = 0. Calculate j.
-2, -1, 4/11
Find l such that 3*l**4/7 - 180*l**3/7 - 186*l**2/7 + 180*l/7 + 183/7 = 0.
-1, 1, 61
Find b, given that -2*b**3 - 118*b**2 - 222*b + 342 = 0.
-57, -3, 1
Let 20*w**5 + 15*w**4 - 25*w**3 - 15*w**2 + 5*w = 0. What is w?
-1, 0, 1/4, 1
Factor o**3/2 - 40*o**2.
o**2*(o - 80)/2
Factor -2*y**3 + 740*y**2.
-2*y**2*(y - 370)
What is m in m**2/4 - 114*m - 457/4 = 0?
-1, 457
Factor -5*j**2/2 - 180*j - 355/2.
-5*(j + 1)*(j + 71)/2
Factor -2*w**2 - 8*w.
-2*w*(w + 4)
Find i, given that 2752*i**5/5 + 22832*i**4/5 - 17004*i**3/5 + 3761*i**2/5 - 173*i/5 - 18/5 = 0.
-9, -2/43, 1/4
Suppose 2*b**3/13 - 64*b**2/13 = 0. What is b?
0, 32
Solve -2*g**3/7 - 22404*g**2/7 - 83656536*g/7 - 104124501808/7 = 0.
-3734
Factor 3*l**2 - 2106*l + 369603.
3*(l - 351)**2
Suppose -b**2 + 80*b - 1311 = 0. Calculate b.
23, 57
Let 6*p**4 - 94*p**3 - 36*p**2 + 64*p = 0. What is p?
-1, 0, 2/3, 16
What is a in -a**2/3 - 4*a - 32/3 = 0?
-8, -4
Let -3*c**4/7 + 81*c**3/7 - 72*c**2/7 - 156*c/7 = 0. Calculate c.
-1, 0, 2, 26
Factor 5*h**2/2 + 1189*h/2 - 119.
(h + 238)*(5*h - 1)/2
Factor g**3 + 68*g**2 + 195*g.
g*(g + 3)*(g + 65)
Suppose -4*k**4 - 40*k**3 + 336*k**2 - 736*k + 512 = 0. What is k?
-16, 2
Determine q, given that -4*q**3/7 - 16*q**2/7 + 16*q/7 + 64/7 = 0.
-4, -2, 2
Factor 3*r**2 + 12*r - 36.
3*(r - 2)*(r + 6)
Suppose -m**4/4 - 11*m**3/4 + 21*m**2/4 + 99*m/4 - 27 = 0. Calculate m.
-12, -3, 1, 3
Suppose -10*l**5 + 1125*l**4 - 560*l**3 = 0. What is l?
0, 1/2, 112
Factor -3*r**3 + 54*r**2 + 57*r.
-3*r*(r - 19)*(r + 1)
Determine j, given that -3*j**2/5 - 582*j/5 - 28227/5 = 0.
-97
Factor 3*m**4 - 159*m**3 - 534*m**2 + 1680*m.
3*m*(m - 56)*(m - 2)*(m + 5)
Solve -2*z**3 + 44*z**2 - 158*z - 204 = 0 for z.
-1, 6, 17
Determine o so that 39*o**4/4 - 81*o**3/4 + 9*o**2/4 + 69*o/4 - 9 = 0.
-12/13, 1
Factor d**4/5 - 216*d**3/5 + 642*d**2/5 - 128*d + 213/5.
(d - 213)*(d - 1)**3/5
Suppose -150*p**2/7 + 279*p/7 + 6 = 0. Calculate p.
-7/50, 2
Let 5*f**5 + 17*f**4 + 18*f**3 + 2*f**2 - 7*f - 3 = 0. Calculate f.
-1, 3/5
Factor r**5/2 - r**4 + r**2 - r/2.
r*(r - 1)**3*(r + 1)/2
Determine a, given that 3*a**5/2 - 1653*a**4/2 + 152343*a**3 - 9491661*a**2 + 35866719*a/2 + 55156383/2 = 0.
-1, 3, 183
Factor -b**2/6 + b/3 + 35/6.
-(b - 7)*(b + 5)/6
Factor -2*i**3/5 - 578*i**2 - 1048334*i/5 - 3119046/5.
-2*(i + 3)*(i + 721)**2/5
Suppose w**2/8 - 3*w/2 - 2365/8 = 0. What is w?
-43, 55
Factor 195*d**2/4 - 50*d + 5/4.
5*(d - 1)*(39*d - 1)/4
Factor o**4 - 27*o**3 - 153*o**2 - 221*o - 96.
(o - 32)*(o + 1)**2*(o + 3)
Suppose 12*a**3/7 - 333*a**2/7 + 816*a/7 + 225/7 = 0. What is a?
-1/4, 3, 25
Solve 3*b**4 + 333*b**3 + 1926*b**2 + 3804*b + 2520 = 0.
-105, -2
Find k such that -380*k**5 - 1372*k**4 - 1488*k**3 - 560*k**2 - 64*k = 0.
-2, -1, -2/5, -4/19, 0
What is c in 2*c**3 + 6*c**2 - 8 = 0?
-2, 1
Factor -3*r**4/5 + 3*r**3 + 18*r**2/5.
-3*r**2*(r - 6)*(r + 1)/5
Find c such that 3*c**2 - 799*c - 534 = 0.
-2/3, 267
Find f such that -6*f**5/7 + 366*f**4/7 + 2334*f**3/7 + 5154*f**2/7 + 4800*f/7 + 1608/7 = 0.
-2, -1, 67
Determine n so that 2*n**4/3 + 14*n**3/3 - 74*n**2/3 - 350*n/3 + 392 = 0.
-7, 3, 4
Factor -4*h**3 - 12*h**2 + 40*h.
-4*h*(h - 2)*(h + 5)
Factor -2*v**4/11 - 144*v**3.
-2*v**3*(v + 792)/11
Determine l, given that -5*l**2 - 610*l - 18605 = 0.
-61
Find n such that n**2/2 + 19*n/2 + 30 = 0.
-15, -4
Factor -28*c**3/9 - 146*c**2/9 - 10*c/3.
-2*c*(c + 5)*(14*c + 3)/9
Factor -g**2/2 - 9*g.
-g*(g + 18)/2
Find o such that 3*o**2/4 + 99*o/2 - 201/4 = 0.
-67, 1
Solve 6281427*w**2 + 5788*w + 4/3 = 0.
-2/4341
Suppose -2*u**4/3 - 4*u**3/3 + 10*u**2/3 + 4*u = 0. Calculate u.
-3, -1, 0, 2
Solve 2*p**4/5 + 3*p**3 + 8*p**2 + 9*p + 18/5 = 0.
-3, -2, -3/2, -1
Factor 2*d**2 + 64*d + 174.
2*(d + 3)*(d + 29)
Solve 3*n**3/4 - 57*n**2/2 + 111*n/4 = 0.
0, 1, 37
Factor -2*y**4/3 + 6*y**3 + 22*y**2 + 70*y/3 + 8.
-2*(y - 12)*(y + 1)**3/3
Suppose -120*y**4 - 662*y**3 + 342*y**2 - 36*y = 0. Calculate y.
-6, 0, 3/20, 1/3
Factor 3*n**4 + 459*n**3 + 2181*n**2 - 5751*n + 3108.
3*(n - 1)**2*(n + 7)*(n + 148)
Factor -4*d**3/3 + 1192*d**2/3.
-4*d**2*(d - 298)/3
Let 4*m**4 + 28*m**3 + 24*m**2 = 0. Calculate m.
-6, -1, 0
Determine p so that -28*p**5 + 8*p**4 + 280*p**3 - 80*p**2 - 252*p + 72 = 0.
-3, -1, 2/7, 1, 3
Solve t**4 + 4*t**3 - 12*t**2 = 0.
-6, 0, 2
Factor 2*d**3/5 + 14*d**2/5 - 130*d - 6422/5.
2*(d - 19)*(d + 13)**2/5
Factor 10*o**2 - 8*o.
2*o*(5*o - 4)
Factor -2*r**2/7 + 858*r/7 - 244.
-2*(r - 427)*(r - 2)/7
Suppose -15*k**3/7 + 69*k**2 - 96*k/7 = 0. Calculate k.
0, 1/5, 32
Solve 4*w**4 - 60*w**3 + 72*w**2 + 416*w = 0.
-2, 0, 4, 13
Find v, given that -v**3/2 - 25*v**2/2 + 14*v + 26 = 0.
-26, -1, 2
Factor b**2 - 770*b + 148225.
(b - 385)**2
Factor -3*t**3/4 - 114*t**2 - 4332*t.
-3*t*(t + 76)**2/4
Factor -h**2 + 12462*h - 38825361.
-(h - 6231)**2
Let -4*u**3/7 + 36*u**2/7 + 40*u/7 = 0. What is u?
-1, 0, 10
Factor -4*x**3 + 88*x**2 + 932*x + 840.
-4*(x - 30)*(x + 1)*(x + 7)
Determine n so that -4*n**2 - 7552*n - 3564544 = 0.
-944
Find x, given that 3*x**2 - 51*x + 216 = 0.
8, 9
Let -4*r**3 - 16*r**2 - 12*r = 0. Calculate r.
-3, -1, 0
Find s, given that 4*s**2/9 - 640*s/9 - 644/9 = 0.
-1, 161
Let -16*x**5 - 132*x**4 - 144*x**3 - 28*x**2 = 0. Calculate x.
-7, -1, -1/4, 0
Factor -4*i**2 + 320*i - 6400.
-4*(i - 40)**2
Find z such that -2*z**5/11 + 6*z**4/11 + 10*z**3/11 - 30*z**2/11 - 8*z/11 + 24/11 = 0.
-2, -1, 1, 2, 3
Factor -a**5/5 + 24*a**4/5 - 188*a**3/5 + 666*a**2/5 - 1107*a/5 + 702/5.
-(a - 13)*(a - 3)**3*(a - 2)/5
Determine t, given that -40*t**5 - 326*t**4 - 484*t**3 + 766*t**2 + 164*t - 80 = 0.
-5, -4, -2/5, 1/4, 1
Let 5*v**2 - 75*v = 0. Calculate v.
0, 15
Let 2*v**4/9 - 16*v**3/9 - 8*v**2/3 + 160*v/9 + 256/9 = 0. Calculate v.
-2, 4, 8
Factor -4*i**2 + 504*i - 15876.
-4*(i - 63)**2
Factor v**3/2 - 5*v**2/2 + 3*v/2 + 9/2.
(v - 3)**2*(v + 1)/2
Factor y**4/6 - y**3 + 2*y**2 - 4*y/3.
y*(y - 2)**3/6
Determine d so that 3*d**2 + 111*d + 210 = 0.
-35, -2
Solve -2*q**5/9 - 19*q**4/9 - 7*q**3 - 89*q**2/9 - 55*q/
|
{
"pile_set_name": "DM Mathematics"
}
|
5*r = 5*w + 3 + 27. Let m be (1/3)/(4/84). Let z = m - 3. Put -2, z, r in increasing order.
-2, r, z
Let r = 8 + -3. Let f = -7 - 1. Let m = f + r. Put 2, -2/9, m in increasing order.
m, -2/9, 2
Let v = 15 + -16. Let i = 17 - 16. Put i, -3, v in decreasing order.
i, v, -3
Let w = -123 + 132. Let t be 4/(-10) + (-4)/(-5). Put -1, w, t in descending order.
w, t, -1
Suppose 5*y - 2*k - 65 = 0, y - 4*k = 2*y - 35. Let w be (2/1 + -2)/(-2). Suppose -5*o + y = -w. Sort -0.3, -3/5, o in descending order.
o, -0.3, -3/5
Let b = 6 + -6. Suppose x = -b*x. Sort x, -2, -4 in decreasing order.
x, -2, -4
Let d = 6.1 - 1.1. Let s be (3 - -45)/3 + 0. Let m = s + -20. Sort d, m, 2/3 in increasing order.
m, 2/3, d
Let o(t) be the second derivative of t**4/12 + t**2 - 2*t. Let m(n) be the first derivative of o(n). Let x be m(-1). Put 0.2, -1, x in ascending order.
x, -1, 0.2
Let g(c) be the third derivative of -c**4/12 + 2*c**3 - 34*c**2. Let n be 2/8 - (-62)/8. Let v be g(n). Put -2, -5, v in decreasing order.
-2, v, -5
Let v be (16/(-2))/(-1)*(-2)/4. Sort -6, v, -1, 1.
-6, v, -1, 1
Suppose -2*b = l + l, -2*l - 20 = -3*b. Put 5, l, 2 in decreasing order.
5, 2, l
Let y(c) = c**2 - 3*c - 2. Let o be y(2). Let t(l) = 4*l - 11. Let h(f) = f - 4. Let v(a) = 7*h(a) - 2*t(a). Let n be v(-3). Sort o, 1, n in descending order.
1, n, o
Let h = -1/4 + -1/4. Put h, -2, 0.02, -0.2 in increasing order.
-2, h, -0.2, 0.02
Let x = -38 + 60. Suppose 5*f + x = -3*c, f + 5*c = -2*f - 10. Sort 2, f, 1 in ascending order.
f, 1, 2
Let r = -6 + 6. Let h = r - 2. Sort -3, 1, h in decreasing order.
1, h, -3
Suppose 43 = -7*s + 15. Sort s, -1, -3, 14 in decreasing order.
14, -1, -3, s
Let k(n) = -2*n - 9. Let v be k(-6). Suppose -4*g - 24 = -60. Suppose g = -0*z + v*z. Sort z, 5, 4.
z, 4, 5
Let f = 1.1 + -5.1. Let x = 10.6 - 10. Let n = x + -0.9. Put f, 3, n in increasing order.
f, n, 3
Let y = -7.5 + 6. Let g = 0.5 + y. Let k be ((-17)/8 + 2)*-1. Put k, g, -0.5 in decreasing order.
k, -0.5, g
Let c(x) = x + 1. Let h be c(3). Suppose -n - h = -3*n. Let p = 3 + -2. Sort -4, n, p in decreasing order.
n, p, -4
Let r(o) = o - 6. Let g = 9 - 3. Let d be r(g). Suppose 2*y + 3*s - 9 = d, -2*y + 17 = 2*y + 5*s. Sort 0, -1, y in ascending order.
-1, 0, y
Suppose -3*z + 3 = -12. Suppose -5*g + 20 = -g, 0 = z*d - 4*g. Put d, -5, 0 in ascending order.
-5, 0, d
Let o = -2 - 2. Let s = 16.3 - 15. Let f = 0.3 - s. Sort f, o, 0 in decreasing order.
0, f, o
Let p(d) = d**2 + 5*d - 11. Let o be p(-6). Put 2, 3/5, o in decreasing order.
2, 3/5, o
Let x(m) = -m**3 - 8*m**2 - 6*m + 5. Let l be x(-7). Sort l, 1, -3 in decreasing order.
1, l, -3
Let x = 4 + -9. Let p = 65335 - 18620408/285. Let t = p - 2/57. Sort t, 4, x in ascending order.
x, t, 4
Let z be 6*1/10*5. Sort 5, 4, z.
z, 4, 5
Suppose 0 = -z + q + 4 + 3, q - 5 = -5*z. Suppose 0 = z*f - 12 + 2. Let i(c) = c**3 - 6*c**2 + 5*c + 4. Let p be i(f). Sort 5, 3, p in decreasing order.
5, p, 3
Let p be (-6 - -6)*(-2)/4. Let q = 5.8 - 1.8. Sort p, 1, q in descending order.
q, 1, p
Let r = 2 + 3. Put 3, 4, r in decreasing order.
r, 4, 3
Let v(y) = y**3 - y**2 + y + 3. Let k be v(0). Let c = -33 + 53. Let a be (-5)/c - 30/8. Sort k, a, 4 in decreasing order.
4, k, a
Suppose 0*k - 16 = -4*k. Put -7, 5, k, -0.5 in decreasing order.
5, k, -0.5, -7
Let u = 464/2431 + -2/221. Let h = -8.5 + 8.7. Sort h, 1/12, u in decreasing order.
h, u, 1/12
Let t = 11 - 7. Let l = t - 3.7. Put -1/4, 0.2, l in descending order.
l, 0.2, -1/4
Let f(j) be the first derivative of -j**4/4 + 4*j**3/3 - 7. Let a be f(4). Put -5, a, 1 in increasing order.
-5, a, 1
Suppose -2*x = s - 1, -3*x - 3*s - 7 = -4. Sort x, -4, 5 in decreasing order.
5, x, -4
Let t = 0.25 + 0.05. Let w = -4 + 2. Put w, -1/6, t in decreasing order.
t, -1/6, w
Let h(l) = l**3 - 2*l**2 - l - 2. Let d be 6/(4*(-2)/(-4)). Let y be h(d). Let a be 1 + 1 + y + -3. Sort 0, 2, a in descending order.
a, 2, 0
Let n = 4 - -5. Let v be (5/(-3))/(3/n). Sort 2, 1, v in ascending order.
v, 1, 2
Let z = -4 + 34/9. Let x = 37 - 38. Sort 0.9, z, x in increasing order.
x, z, 0.9
Let x be -1 - (0 + 4 + -8). Suppose 5*g = 2*t - t - 10, x*t - 18 = 3*g. Let y = 0 + 2. Put y, -5, t in decreasing order.
t, y, -5
Let m = -41 + 43. Sort 1, -4, m.
-4, 1, m
Let v(j) = j**2 + 1. Let b be v(2). Let i = -32 - -54. Suppose 3*u - i = -b*t, -3*u + 18 = -t + 2*u. Sort 3, t, 0 in ascending order.
0, t, 3
Let p be 9/36*1*4. Put 5, -5, p in decreasing order.
5, p, -5
Let a = -7 - 3. Let y = -11 - a. Put y, 6, -4 in decreasing order.
6, y, -4
Suppose 2 = w, 17*i - 5*w = 19*i. Sort -1, 2, i in descending order.
2, -1, i
Let t be 8 - ((-1 - 2) + 3). Suppose n - 30 = -3*n - 5*x, 4*x - t = 0. Put 0, n, 3 in descending order.
n, 3, 0
Suppose 14*v + 30 = 2. Put -1.1, 1/7, v in decreasing order.
1/7, -1.1, v
Let t be (614/12)/((-4)/(-6)). Let c = t + -385/12. Let v = c + -44. Sort -4, 4, v in decreasing order.
4, v, -4
Suppose 2*l + 27 = -5*k, 3*k + 13 = 5*l - 3*l. Let x be (k/10)/(27/(-24)). Put -2/9, -3, x in decreasing order.
x, -2/9, -3
Let h = -0.01 - -3.01. Let j = 5.3 - 6. Let i = j - -1. Put i, -0.5, h in ascending order.
-0.5, i, h
Let a be 3/(2 + 27/(-15)). Let o = a - 9. Let y be 3/(9/o) + 0. Put -2, -5, y in descending order.
y, -2, -5
Suppose 5*v - 3*t - 10 = -t, -v + 2 = 2*t. Let s be (-1)/(1 + (-8)/6). Sort v, s, -1.
-1, v, s
Let y be 56/(-16) - (15/(-2))/5. Suppose -3*r + 9 = 0, 2*r - r = -3*f - 12. Sort y, 1, f in increasing order.
f, y, 1
Let p = 166 - 166.4. Let t = 0 + 2. Sort 0.4, p, t in decreasing order.
t, 0.4, p
Let z = -3/7 + 2/21. Let g = 4 + -3.8. Let a = g - -0.3. Put a, z, 4/3 in decreasing order.
4/3, a, z
Let q = 2/55 + -63/220. Let c(y) = 2*y - 42. Let f be c(23). Sort f, -4, q in decreasing order.
f, q, -4
Let l = 0.8 - 1.8. Sort -2/7, 2, l in increasing order.
l, -2/7, 2
Suppose -m - 4 = -4*d, -4*m + 5*d + 4 = 20. Put -14, 2, m in descending order.
2, m, -14
Suppose -21 = -7*j + 4*j. Suppose 3*z + 3 = 0, -5*n + 0*z - 3*z + j = 0. Sort 1, 4, n in decreasing order.
4, n, 1
Let k be 21/12*(-6)/(-21). Let i = -4.5 + 4. Put k, i, 0 in descending order.
k, 0, i
Suppose -1 = 5*f - 6. Put f, 4, 3 in descending order.
4, 3, f
Suppose 19*n + 96 = -5*n. Put 5, n, 2, -2 in decreasing order.
5, 2, -2, n
Suppose 27 = -2*r + 3. Let k = r - -7. Put -4, 1, k in descending order.
1, -4, k
Suppose -4*k = -20, -4*b - k + 32 = 3*k. Suppose -b*t + 2*t = 0. Put t, -2, 4 in descending order.
4, t, -2
Suppose 4*t - 12 = c, -5*t - 3*c = -9*t + 4. Let q(f) = -f + 4. Let l be q(4). Suppose l = -3*x - x. Sort x, t, -2.
-2, x, t
Let s = 6 + -4. Let b = -309/5 - -62. Put -3, b, s in decreasing order.
s, b, -3
Let a = -32.5 - -33. Sort 0.2, 1, a.
0.2, a, 1
Let g(n) = -n**3 + 4*n**2 - 4*n - 2. Let q be g(3). Sort 8, q, 4, -1 in ascending order.
q, -1, 4, 8
Let v = -63 + 253/4. Let k be 3/9 + 25/(-3). Let u be ((-1)/k)/((-6)/(-8)). Sort -2/9, u, v in ascending order.
-2/9, u, v
Suppose 39*p - 42*p - 3 = 0. Put -3, 0, -7, p in decreasing order.
0, p, -3, -7
Let f be -5*(-3)/45*-12. Let i = 0 - -1. Let u = 1 + i. Sort u, f, -1.
f, -1, u
Suppose 2*z = -3*w + 15, 3*z - 2*z + 9 = 4*w. Let o = 108 + -106. Put z, -5, o in ascending order.
-5, o, z
Let p = -0.1 + 0.2. Let z be (7/21)/(14/(-18)). Sort -5, p, z in decreasing order.
p, z, -5
Let h = 3.17 + -3.1. Put h, -2/11, 1 in ascending order.
-2/11, h, 1
Let i = 7 - 11.4. Let n = i + -0.6. Sort 3, n, -1/7 in decreasing order.
3, -1/7, n
Suppose -4*y + 2*m - 4 + 20 = 0, 20 = 5*y - 3*m. Sort y, 3, 0.
0, 3, y
Suppose 2*b = -5*y + y - 26, -2*b - 16 = 2*y. Let w be ((-5)/b - 1)*6. Put -2/3, w, 2/13 in increasing order.
-2/3, 2/13, w
Suppose -5*l - 3 - 2 = 0. Suppose -5*b - 4 = 21. Put l, b, -4 in ascending order.
b, -4, l
Let v(n) = n + 9. Suppose -2*o - 14 = q + 3*o, 0 = q - o + 2. Let x be v(q). Put -1, -5, x in ascending order.
-5, -1, x
Let w = -12 - -17. Let z be ((-32)/20)/((-2)/w). Put -2, -5, z in decreasing order.
z, -2, -5
Let o(i) = -i**2 + 5*i - 2. Let g be o(5). Let t = 1 - g. Put -5, t, -2 in increasing order.
-5, -2, t
Let u(a) = a**3 + 3*a**2 - 4*a - 5. Let t be (6/9)/((-2)/12). Let w be u(t). Sort w, 5, 1 in increasing order.
w, 1, 5
Let y be (2/(-5))/(18/(-15)). Let o = -11 - -7. Let l = -14.5 + 12.5
|
{
"pile_set_name": "DM Mathematics"
}
|
*(2/11)))**(14/5) assuming j is positive.
j**(-1923/220)
Simplify (((d**(-1/4))**(8/3)/((d/d**(-4/7))/d**(1/4)))**(-8/11))**10 assuming d is positive.
d**(3340/231)
Simplify ((m**(-1)*m)/(m*m**(1/17)*m))**(-20/9)/((m**(-7)/m**(8/5))/((m*m**(-2))/(m**(-5)*m))) assuming m is positive.
m**(12374/765)
Simplify ((p/(((p/p**0)/p)/p))**(-50)*(p**(4/13)/p)/(p*(p*(p/p**(7/3))/p)/p))**(-2/47) assuming p is positive.
p**(7750/1833)
Simplify (((s*s**30)/(s/((s**(-1/11)/s)/s)*s))/(s**(-4/15)/s)**7)**21 assuming s is positive.
s**(41321/55)
Simplify v**(-28)*(v**(-21)/v)/v*v**35/(v*(v/(v**(-9)*v))/v*v*v) assuming v is positive.
v**(-27)
Simplify (x**1)**(-44)/(x**(-1/16)/x*x*x/((x*x/(x**1*x))/x))*(x**(3/7)*x*x*x*x**(-1/2)/x)/(x*x**(1/2))**(18/5) assuming x is positive.
x**(-27669/560)
Simplify (d/(d/(d*d**(-7)))*((d*(d/d**(-2/13))/d*d)/d)/d*((d**2/d*d*d)/d)/(d/d**(2/17)*d))/(d**(-6)/((d**(2/11)*d)/d))**(-39) assuming d is positive.
d**(-600018/2431)
Simplify ((s**(3/8)/s)/(s*s**5))**1*s**(-1)/s*s*s/(s**(-4/5)*s)*s**(2/3)*(s/(s**(1/8)/s))/s assuming s is positive.
s**(-317/60)
Simplify (h**(-1)*h)**46/((h/(h*h**(-1)))/(h/h**(-1/5)))*h*h**(-1/8)/h*h/h**6*h*h**(1/11)/h*h*h/((h*(h/(h/h**(-4)))/h)/h) assuming h is positive.
h**(953/440)
Simplify ((a/(a**(-1)*a))/a**(3/2))**(1/5)*((a**2)**(-2/5))**(-39) assuming a is positive.
a**(311/10)
Simplify ((f/f**(2/7))**19/(f**(1/3)/f)**(-36))/((f/f**(-3/11))/(f/f**7*f))**1 assuming f is positive.
f**(-1286/77)
Simplify (((o/o**(-2/21)*o)/o)/o*o**(1/4)*(o*(o*o/o**1)/o*o)**30)/((o/(o/(o*o**(2/7))))**(24/7))**(-35) assuming o is positive.
o**(18029/84)
Simplify k**(-40)*k**(-1/15)*((k/k**(1/54))/k)/k*k*(k*k*k/k**(-19))/k assuming k is positive.
k**(-5153/270)
Simplify (y*y*y*y**0*y*y**(-2/3))**35*(y**(-3)/y)/y**(1/5)*(y**(-1/2))**12 assuming y is positive.
y**(1597/15)
Simplify (((l**(2/81)*l)/l**(2/45))**(-45))**(24/7) assuming l is positive.
l**(-3176/21)
Simplify l*l*(l/l**(-6))/l*l*(l*l*l**(1/7)*l*l)/l*(l**(1/3))**(-1/24)*(l**0/((l*l**(-2/9))/l*l))**(15/4) assuming l is positive.
l**(4643/504)
Simplify ((y/(y/(y**26/y)*y)*y**(-10))/(y**(3/17)*y*y/(((y*y**(-24)/y)/y)/y)))**(2/13) assuming y is positive.
y**(-482/221)
Simplify ((x**(1/3))**(-8/11))**(2/103)*x*x*(x**(4/9)*x)/x*x**(2/3)*(x**(-2/7))**(5/7) assuming x is positive.
x**(1450154/499653)
Simplify (((r*r**(1/2))/(r**(-14)*r))/(r**13*r*r**(2/45)/r))**(1/47) assuming r is positive.
r**(131/4230)
Simplify (a/(a*a**7)*a**6)**(4/7)*(a**(-3/4)*a**(-5))**(-1/16) assuming a is positive.
a**(-95/448)
Simplify ((m**(-5)/(m/(m/(m*((m*m/(m**10*m))/m)/m))))/(m**(-5/8)*m*m**5))**(-32) assuming m is positive.
m**12
Simplify ((p/(p**(-2)/p))**(-16))**30*(p*p**(2/7))**35*(p/(((p/p**8)/p)/p))/(p**1/p) assuming p is positive.
p**(-1865)
Simplify (((r*r**(-3/10))/r**(2/23))/(r**(-3/17)/r**2))**(-13) assuming r is positive.
r**(-141791/3910)
Simplify (w**(1/4)/((w/(w**6/w))/w)*((w**(-2/9)/w)/w)/((w/w**(-1)*w)/w))/(((w*w**0)/w*w**(-2))/(w**1)**27) assuming w is positive.
w**(1081/36)
Simplify ((r*((r/((r/(r*r*r/(r*r*(r/(r*r*r**(2/11)))/r*r))*r)/r))/r)/r*r)**(-3/5))**36*(r*r*r**(-1)*r**(-2/3))**(16/9) assuming r is positive.
r**(-69104/1485)
Simplify y**(-41)/(y*(y*y*y*y**(-6/5))/y*y)*(y/((y/y**2)/y*y))/y**(-3/14) assuming y is positive.
y**(-2911/70)
Simplify (u/(u/(u/u**(-2/3)))*u)**(-1/71)*u**(-2/17)/u**(2/9)*(u**(-5)*u*u**(-2/3)*u)/((u/u**(-1/3))/u*u**5) assuming u is positive.
u**(-101867/10863)
Simplify ((((w*w**(-1/9))/w**(-7))/(w**7/w**4))**(-5/3))**(-18) assuming w is positive.
w**(440/3)
Simplify ((c**(-15)*c)/c**(-21)*((c**(2/9)/c)/c)/((c**17/c)/c))**(1/78) assuming c is positive.
c**(-44/351)
Simplify ((w**3)**(-42)/(w**(1/4))**(-20))**(1/5) assuming w is positive.
w**(-121/5)
Simplify ((u**(1/4))**(2/51)/((u/u**(-2/23))/u*u*u/(u/(u/(u/(u*u**(5/2)*u)*u)))))**(-16) assuming u is positive.
u**(85904/1173)
Simplify ((o**7/o**7)/(((o*o*o*o**3*o)/o)/o*o*(o*o*o*o**(-7))/o))/((o**(-6)/(o**(2/5)*o))/(o**(2/5))**40) assuming o is positive.
o**(112/5)
Simplify (y**(1/2))**(3/5)*y**(1/7)*y*y**0*y**(-2/5)*y**(-2)*(y*y*((y*(((y/y**(1/12))/y)/y)/y)/y)/y)/y*y**0 assuming y is positive.
y**(-1277/420)
Simplify (b/(b*b/(b*(b/(b*b*b**(-6)))/b*b))*b**(4/5)*b**(-21)/(b**6*b))**(10/9) assuming b is positive.
b**(-74/3)
Simplify h**(1/2)/h*h*h**1*(h/h**(1/8))/(h/(h/(h/(h/(h/h**0)))))*(h**(-2/5)/h*h**(-1/4))/(h**(-4)/h**(-1/2)) assuming h is positive.
h**(129/40)
Simplify (h**5/(((h/(h*h/h**0))/h*h)/h))/((h**(5/6)*h)/(h**(-4)/h))*(h*h*h**(2/13))/h**(5/3)*(h**(1/2))**(-2/5) assuming h is positive.
h**(59/130)
Simplify (((m**3/m*m/(m/(m/(m/(m/m**3))))*m)/((m/(m*m/(m/(m/(m**(2/49)/m)*m))))/(m/m**11)))**(-1))**50 assuming m is positive.
m**(14800/49)
Simplify (l*(l**(2/85)/l)/l*l*l/(l*l**(-8))*l)/(l*(((l**(2/27)/l)/l)/l)/l*l/(l**(-1/14)/l)) assuming l is positive.
l**(317381/32130)
Simplify (f*f/f**(-17))**(-6)*(f**(4/9))**46 assuming f is positive.
f**(-842/9)
Simplify (g**0)**16/(g*(g/g**(-1/2))/g*g)**(-32)*((g*g**(1/2))**(9/7))**(-1/4) assuming g is positive.
g**(4453/56)
Simplify ((l**4)**(-35))**(-41)/((l*l*l*l**(-2/7))**(-16/9))**(-28) assuming l is positive.
l**(50444/9)
Simplify d*(d*d**2)/d*d*d**(-2/7)*d**(2/15)*d**5/d*d*(d**2/(d**(2/15)*d))/(d*d*d/((d/d**(2/3))/d)*(d/(d*d**(-5)))/d) assuming d is positive.
d**(43/21)
Simplify ((d**(-1/2)/d*d)**1/(d/((d*d**(1/3))/d))**(2/45))/(d**(-4/5)/(d**(-1)*d))**(-27) assuming d is positive.
d**(-1195/54)
Simplify ((a**(-3/10)*a**(-15))/(a/a**(-2/7))**(-12))**(5/4) assuming a is positive.
a**(9/56)
Simplify (((b*b**(2/9)*b)**(-1/4)*b**(1/9)*b/(b/b**(-10))*b)**(-2/39))**(-12) assuming b is positive.
b**(-680/117)
Simplify (b/b**(-3/29)*(b*(b*(((b**(-2/5)*b*b)/b)/b)/b)/b)/b*b*(b/((b**(-1)*b)/b))/b**(4/33))**(-40) assuming b is positive.
b**(-98848/957)
Simplify (((d/(((d**(-1/2)/d*d)/d)/d))/d*d)**(1/8))**(-5/4)*(d**1/d)**(1/56)/(d/(d/d**(-1/3))*d**3) assuming d is positive.
d**(-617/192)
Simplify ((c/(c/c**2)*c/(c/(c*c*c**(-4/7)*c*c))*c)/(c**(-7)*(c/(c*c**7/c)*c)/c*c))/(c**(4/7)*c*c**(-9))**(-4) assuming c is positive.
c**(-79/7)
Simplify ((n**(2/35)/(n*n*n**(-1)))/(n*n**(3/13)*n/(n/n**(2/17))))**(-1/55) assuming n is positive.
n**(17723/425425)
Simplify (((h**(-11)/h*((h*h/(h*h**13)*h)/h)/h)**(-40))**(-2/3))**18 assuming h is positive.
h**(-12000)
Simplify (b**5/(b/b**5*b))/(b/b**(2/15)*b**(-3))*(b**(-3)/b**(-8))/(b**(-9)/(b**8*b)) assuming b is positive.
b**(497/15)
Simplify ((y**(-8)*y)/((y*y**(-4))/y))**(-33)/(((y*y**3)/(y**(-2)/y*y*y))/(y**2*y**(-1/14))) assuming y is positive.
y**(1343/14)
Simplify ((r*(r/(r/((r/(r*r**(-2/3)*r))/r)))/r)**25/(r**5*r/r**(6/7)))/(((r**7*r)/r**9)/(r**(-2/7))**(-35)) assuming r is positive.
r**(-577/21)
Simplify ((w/(w*w**(1/4)*w*w))**33)**23*w*w**(-7)*w**7/w*w*(w*w*w**(-2/3))**(9/7) assuming w is positive.
w**(-47741/28)
Simplify (((m*m**(-3))/m*m)/(m*m*m**6)*m**(-3)/m**(2/7))/(m**(-2/3)/(m**(-1/4)/m)*(m/(m**(3/8)*m))/m*m*m*m**(1/6)) assuming m is positive.
m**(-821/56)
Simplify (((g**(-2)/g*g)**(-28)/((g*g**(7/5))/g**(2/3)))**41)**(-3/13) assuming g is positive.
g**(-33374/65)
Simplify (y*y/y**(1/3)*y)**(-1/5)/(y/(y**(-5)*y*y*y)*y**(1/10))*(y**(-1/31)/(y/y**(9/2)))**(-2/7) assuming y is positive.
y**(-30103/6510)
Simplify m**25*m**(1/33)*m*((m*m**(-26))/m*m*m)/m*m**(-21) assuming m is positive.
m**(-659/33)
Simplify ((a*a**(6/17)*a/a**41*a)**5)**(-3/14) assuming a is positive.
a**(4800/119)
Simplify ((x/(x/(x/(x/x**(-2/13))))*x)**(-3/4)/(x*x**(-23)*x**(-17)/x))**(-31) assuming x is positive.
x**(-63457/52)
Simplify (o**(2/3))**(-9)/((o*o**(-1))/o*o)**(-2/33)*o**3/o*o*o/(o**(-6)*o)*o*o**3*o*o**(-2/13)*o assuming o is positive.
o**(115/13)
Simplify ((i*i*i/(i**(-2/29)/i)*i**(4/13))/(i**(-6/7)/((i*i**4/i*i)/i)))**(18/5) assuming i is positive.
i**(438624/13195)
Simplify (o**(2/5)/(o/o**5*o)*o**(5/6)/(o*o**(1/3)))/((o**(-2/5)/o)/o**(-6)*o/(o/(o*o**1*o))*o**(1/4)) assuming o is positive.
o**(-99/20)
Simplify ((y**(-1)/(y**1/y))/(y/(y/(y**(-2)/y)))**(-32))/((y*y/(y/(y*y**(-6)*y)))/y**(-1/4)*y*y/(y**(-5/6)*y)*y**3) assuming y is positive.
y**(-1189/12)
Simplify (g/(g**(-34)/g)*(g*g**(-16))/g)/(g/(g/g**(-9/11))*g**(-34)/g) assuming g is positive.
g**(614/11)
Simplify ((m*m/m**(1/9)*m/(m**(-2/13)/m))/(m**(1/25))**(-3/29))*
|
{
"pile_set_name": "DM Mathematics"
}
|
16. Calculate r(-12).
-8
Let g(a) = a**3 + 6*a**2 + 3*a + 7. Give g(-6).
-11
Let f(b) = b**2 - 4*b - 3. Determine f(-4).
29
Let f(c) = 2*c**2 + 7*c - 13. Determine f(-6).
17
Let z(o) = -10*o - 218. Calculate z(-21).
-8
Let r(l) = -l**3 + 6*l**2 + 4*l + 6. Calculate r(6).
30
Let t(v) = -v + 1. Give t(-3).
4
Let h(l) = -l**3 - 13*l**2 + 16*l + 22. Calculate h(-14).
-6
Let k(u) = u**3 - 5*u**2 + 3*u + 7. Determine k(3).
-2
Let t(a) = 23*a - 4. Give t(-2).
-50
Let r(m) = m**3 + 7*m**2 + 3*m + 14. Calculate r(-7).
-7
Let n(h) = h**3 - 12*h**2 - 3. What is n(12)?
-3
Let r(d) = -5*d - 59. Give r(0).
-59
Let v(y) = y**2 + 4*y + 3. Determine v(-7).
24
Let d(o) = -o + 67. Give d(14).
53
Let j(i) = 5*i**2 + 28*i + 28. What is j(-4)?
-4
Let q(y) = -y**3 - 5*y**2 + 13*y + 5. What is q(-7)?
12
Let y(o) = -o**3 - 39*o**2 - 37*o + 36. Determine y(-38).
-2
Let o(v) = v**3 - 2*v**2 - 2*v + 7. What is o(-3)?
-32
Let g(o) = -o**3 + 8*o - 6. What is g(-3)?
-3
Let h(q) = q**3 - 25*q**2 - 36*q + 249. Determine h(26).
-11
Let y(c) = -c**2 + 19*c. Give y(18).
18
Let n(s) = -8*s + 4. Give n(-2).
20
Let h(c) = -18*c + 9. Calculate h(-3).
63
Let r(o) = -o**2 + 35*o - 69. What is r(31)?
55
Let g(s) = -9*s - 9. Calculate g(-11).
90
Let w(m) = -5*m - 1. Determine w(-2).
9
Let x(y) = -y**3 - 6*y**2 - 4*y - 11. Calculate x(-6).
13
Let c(d) = -d**2 + 7*d - 1. Calculate c(6).
5
Let j(a) = -a**3 - 6*a**2 + 4*a - 7. What is j(-6)?
-31
Let f(a) = a**2 - 7*a - 8. Give f(8).
0
Let c(o) = o - 20. Give c(17).
-3
Let w(t) = t**2 - 4*t + 5. Calculate w(4).
5
Let k(f) = -f**3 + f**2 + 2*f - 112. Give k(0).
-112
Let i(x) = -4*x - 74. Calculate i(-17).
-6
Let z(s) = s + 3. What is z(-5)?
-2
Let c(r) = -5*r**2 - 75*r + 34. Give c(-15).
34
Let g(z) = -z**3 + 7*z**2 - 12*z + 18. Calculate g(5).
8
Let x(n) = 2*n**2 + 18*n + 34. What is x(-7)?
6
Let z(k) = -2*k**3 - 31*k**2 - 19*k - 57. Determine z(-15).
3
Let t(b) = 2*b**3 + 2*b**2 + b. What is t(2)?
26
Let z(k) = -4*k + 3. Calculate z(5).
-17
Let v(z) = -z**2 - 22*z + 27. Give v(-23).
4
Let u(n) = -4*n - 13. Give u(9).
-49
Let m(a) = -18*a - 1. Calculate m(-1).
17
Let c(l) = -l + 5. Calculate c(5).
0
Let s(c) = c**3 - 11*c**2 + 23*c - 5. Give s(8).
-13
Let u(a) = 4*a**2 + 21*a + 77. Calculate u(-6).
95
Let q(p) = p**3 - 6*p**2 + 5*p + 6. What is q(5)?
6
Let m(v) = -3*v**2 + v. Determine m(-1).
-4
Let y(o) = 29*o + 173. Determine y(-6).
-1
Let a(g) = g**2 - 2*g - 95. What is a(11)?
4
Let i(l) = 7*l - 61. Determine i(10).
9
Let f(c) = c**3 - 9*c**2 - 4*c - 3. Determine f(10).
57
Let u(q) = -6*q**2 + 211*q - 30. Calculate u(35).
5
Let o(p) = -2*p**2 - 13*p + 7. What is o(-7)?
0
Let c(g) = g**2 - 13*g + 3. Give c(12).
-9
Let d(m) = -m**2 + 5*m + 7. Give d(-2).
-7
Let w(u) = -u**3 - 19*u**2 + u + 30. What is w(-19)?
11
Let v(z) = 8*z - 135. Calculate v(25).
65
Let u(r) = r**3 + 7*r**2 + 8*r + 5. What is u(-7)?
-51
Let t(s) = -s**3 + 8*s**2 - 13*s + 18. Determine t(7).
-24
Let h(m) = -9*m - 13. What is h(-3)?
14
Let o(r) = -r**2 + 21*r + 71. Give o(24).
-1
Let i(m) = -10*m - 4. Give i(5).
-54
Let z(u) = u**2 + 5*u + 5. What is z(-4)?
1
Let d(k) = -k**2 - 43*k + 5. Calculate d(-43).
5
Let o(n) = 11*n - 39. Determine o(6).
27
Let i(m) = -m**3 + 31*m**2 - 24*m - 174. Calculate i(30).
6
Let i(f) = -34*f + 131. Give i(4).
-5
Let j(f) = -f**3 - f**2 + 9*f - 2. Determine j(-4).
10
Let i(o) = o + 11. What is i(0)?
11
Let r(o) = -o**3 + 34*o**2 - 169*o + 30. Determine r(28).
2
Let m(u) = -5*u + 2. Determine m(6).
-28
Let b(i) = -i**3 - 26*i**2 - 47*i + 30. Calculate b(-24).
6
Let o(y) = y**3 + 2*y**2 - 4*y - 5. Give o(-4).
-21
Let i(u) = -u**2 - 38*u - 176. Calculate i(-32).
16
Let k(u) = -4*u**2 - 6*u + 2. Give k(-4).
-38
Let n(s) = s**2 - 4*s + 1. Give n(4).
1
Let j(o) = 3*o**2 - 3*o - 1. Determine j(-2).
17
Let q(f) = 31*f - 26. Determine q(1).
5
Let u(m) = 2*m**3 - 3*m**2 - 2*m + 6. Give u(2).
6
Let r(m) = m**2 + 4*m + 8. Determine r(-7).
29
Let a(d) = 4*d + 40. Give a(-12).
-8
Let y(n) = n**2 - 3*n - 3. Determine y(3).
-3
Let y(w) = -w**2 + 10*w - 2. What is y(4)?
22
Let x(b) = 2*b**2 + 3*b - 3. Determine x(1).
2
Let y(z) = -4*z**2 + z - 2. Give y(-2).
-20
Let j(l) = l**2 + 36*l - 36. Determine j(-37).
1
Let j(t) = t**3 + 11*t**2 + 8*t - 8. What is j(-10)?
12
Let b(t) = t**3 - 12*t**2 + 23*t + 11. Determine b(3).
-1
Let l(h) = -h**3 - 3*h**2 + 2*h + 1. Determine l(-3).
-5
Let v(k) = k**2 - 8*k + 3. Give v(10).
23
Let c(t) = t**2 + 9*t - 31. What is c(-12)?
5
Let o(s) = -19*s - 313. Determine o(-16).
-9
Let r(u) = -u**3 + 6*u**2 + 8*u - 5. Determine r(7).
2
Let n(a) = a**2 - 10*a + 21. What is n(8)?
5
Let c(y) = 2*y**2 + y - 1. What is c(0)?
-1
Let d(r) = r**3 + 3*r + 4. Calculate d(-3).
-32
Let p(f) = f**3 + 5*f**2 + 5*f. Determine p(-4).
-4
Let i(y) = -y**2 + 51. Give i(7).
2
Let i(y) = -y**3 + 14*y**2 + 8*y + 37. Give i(15).
-68
Let w(m) = -3*m + 59. Determine w(16).
11
Let n(d) = d**2 + 18*d + 17. Give n(-17).
0
Let r(h) = 2*h**2 - h - 3. Calculate r(4).
25
Let d(m) = -m**3 - 6*m**2 - 5*m - 3. Determine d(-4).
-15
Let s(h) = -h**3 - 14*h**2 + 15*h + 11. Determine s(-15).
11
Let u(f) = f**3 - 7*f**2 - 3*f + 10. What is u(7)?
-11
Let l(n) = -18*n - 47. Determine l(0).
-47
Let d(w) = 43*w**2 + w - 1. Determine d(1).
43
Let u(s) = 17*s**2 + 3*s - 3. Determine u(1).
17
Let k(n) = 3*n**2 + 2*n + 1. What is k(-1)?
2
Let l(o) = 99*o + 699. Give l(-7).
6
Let q(d) = 2*d**3 + 11*d**2 - 24*d - 8. Determine q(-7).
13
Let o(m) = -m**3 - 7*m**2 - 10*m - 9. What is o(-6)?
15
Let t(p) = p**3 - p**2 - 2*p - 1. Determine t(2).
-1
Let i(y) = -y + 10. Give i(6).
4
Let y(i) = 46*i - 2. Give y(2).
90
Let i(o) = -o**2 + 12. Give i(-4).
-4
Let r(h) = -h**2 - 3*h + 1. Calculate r(-3).
1
Let b(y) = 3*y**2 - 6*y - 13. Calculate b(6).
59
Let t(h) = h + 1. Determine t(-3).
-2
Let r(s) = -s + 23. Give r(0).
23
Let r(i) = -2*i - 27. What is r(-8)?
-11
Let q(o) = o**3 - 6*o**2 + 3*o. Determine q(5).
-10
Let o(t) = -t**2 - 9*t - 15. Calculate o(0).
-15
Let q(h) = -5*h + 42. Determine q(5).
17
Let l(k) = -k - 47. Determine l(-57).
10
Let v(x) = -3*x**2 + 14*x + 1. What is v(5)?
-4
Let r(b) = 4*b - 14. Give r(4).
2
Let g(f) = 9*f - 3. Give g(2).
15
Let g(j) = 5*j - 17. Determine g(-11).
-72
Let u(d) = -5*d + 22. Determine u(5).
-3
Let x(n) = -5*n**3 - n**2 + n. Give x(1).
-5
Let w(g) = -g**3 + 13*g**2 + 13*g + 9. Give w(14).
-5
Let v(g) = -g**2 + 11*g - 9. Give v(16).
-89
Let s(x) = 7*x + 1. What is s(-1)?
-6
Let b(r) = 7*r + 53. Give b(-9).
-10
Let r(y) = y**2 - 11*y + 28. Give r(8).
4
Let o(a) = 2*a**2 - 5*a - 98. What is o(-6)?
4
Let m(v) = 34*v - 183. Calculate m(6).
21
Let t(v) = v**3 + 10*v**2 + 21*v - 3. Give t(-7).
-3
Let y(d) = 3*d + 41. What is y(0)?
41
Let u(r) = -r**3 - 7*r**2 + 7*r - 3. What is u(-8)?
5
Let x(t) = -3*t + 27. Determine x(9).
0
Let z(n) = n**3 - 12*n**2 + n - 4. Give z(12).
8
Let u(m) = -m - 3. Determine u(-9).
6
Let q(h) = -h**2 - 16*h + 8. Calculate q(-17).
-9
Let x(v) = 2*v + 13. Give x(4).
21
Let r(l) = -l**3 + 8*l**2 + l - 6. What is r(8)?
2
Let p(z) = -z**2 - 19*z - 84. What is p(-18)?
-66
Let l(c) = -c**3 - 10*c**2 - 14*c - 10. Give l(-9).
35
Let s(o) = 4*o**2 + 3*o - 1. What is s(-4)?
51
Let x(k) = -24*k**2 - k - 3. Calculate x(-2).
-97
Let b(r) = r**2 + 2*r. Calculate b(3).
15
Let o(a) = -6*a - 123. Calculate o(-19).
-9
Let o(a) = 2*a**2 - 1. Calculate o(3).
17
Let b(n) = -n**3 - 6*n**2 - 5*n + 7. What is b(-3)?
-5
Let r(v) = -40*v - 82. Determine r(-3).
38
Let d(b) = b**3 + 6*b**2 + 3*b. Determine d(-6).
-18
Let h(d) = 33*d + 220. Determine h(-7).
-11
Let m(c) = 3*c - 5. What is m(4)?
7
Let z(o) = -o**3 + 2*o**2 + 4*o + 3. What is z(-2)?
11
Let t(d) = d**2 - 8*d - 18. What is t(10)?
2
Let f(h) = 18*h - 114. Calculate f(6).
-6
Let d(h) = h**2 + 9*h + 5. Determine d(-9).
5
Let q(u) = -2*u**2 + 8*u + 7. What is q(4)?
7
Let h(r) = -r - 8. Determine h(-13).
5
Let k(n) = -n**3 + 2*n**2 + 10*n - 15. Determine k(4).
-7
Let j(z) = -48*z - 296. What is j(-6)?
-8
Let h(y) = -y**2 + y - 3. Determine h(0).
-3
Let b(f) = 5*f + 83. Calculate b(-14).
13
Let m(f) = 12*f - 3. Determine m(2).
21
Let s(x) = -x**3 + 7*x**2 - 10*x + 25. Calculate s(6).
1
Let u(v) = v**2 + 10*v - 28. What is u(-12)?
-4
Let b(j) = -j**3 + 6*j**2 - j + 2. Give b(6).
-4
Let x(b) = -b
|
{
"pile_set_name": "DM Mathematics"
}
|
871 = 2*c - c, -2*c = -g - 11697. List the prime factors of c.
5851
Let b = -1487 + 2321. What are the prime factors of b?
2, 3, 139
Let b = -826 - -1326. Suppose -3*r - 4*j = -385, 3*r + 2*j = -r + b. List the prime factors of r.
3, 41
Suppose 4*r - k - 642 = -6*k, -3*r + 472 = -k. Suppose -4*u + r = 5*g - 0*g, -3*g + 117 = -5*u. Let o = g + -20. What are the prime factors of o?
2, 7
Let b = 60 - 58. Suppose 244 = -b*d + 6*d. What are the prime factors of d?
61
Suppose -22*s + 8*s = -46088. List the prime factors of s.
2, 823
Suppose 2*h + 175 - 1784 = 5*v, 3213 = 4*h - 5*v. List the prime factors of h.
2, 401
Let o(w) = 17*w**3 - 3*w**2 - 7*w + 34. What are the prime factors of o(5)?
3, 683
Let x(s) be the second derivative of s**4/12 - s**3/2 + 3*s**2/2 - 25*s. Suppose -k = -4*h + 8, -2*k + 3*k - 1 = h. List the prime factors of x(h).
3
Let j(v) = -2*v + 14. Let z be j(6). Let d = -4 + z. List the prime factors of (-72)/(-9)*(0 - d).
2
Let v = 539 + 3031. List the prime factors of v.
2, 3, 5, 7, 17
Suppose 0 = -10*t + 8*t - 38. Let x = 14 - t. What are the prime factors of x?
3, 11
Suppose -2*m = 0, -6*m - 1092 = 4*v - 2*m. Let z = v - -458. List the prime factors of z.
5, 37
Let h be 48/4*2/6. Suppose 5*l - 4*m + 5*m - 82 = 0, h*m = 5*l - 72. What are the prime factors of l + 2 - 2/(-1)?
2, 5
Let b(o) = 4*o**2 - 22*o + 413. List the prime factors of b(17).
5, 239
Suppose -18*w = -34*w - 96. Let d(y) be the second derivative of -y**4/12 - 5*y**3/3 - y**2 - y. List the prime factors of d(w).
2, 11
Let q(c) = 3351*c**3 + 4*c - 4. List the prime factors of q(1).
3, 1117
Let k(i) = -i**3 + 18*i**2 + 7. Let m be k(18). Let h be (2/(-6))/(2/(-18)). Suppose -1 = h*j - m. List the prime factors of j.
2
Let z(f) = -852 + 2*f**2 - f**2 + 0*f**3 - 4*f - f**3 + 844. List the prime factors of z(-5).
2, 3
Suppose 0 = -b - 4*f + 18, -2*f + 22 = -3*b + 76. Let s = b + -15. List the prime factors of (23/(-2))/(s/(-6)).
23
Let m = -20 + 41. Suppose -20 = m*d - 26*d. Suppose 3*s - 103 - 71 = -d*z, 5*s - 80 = -2*z. What are the prime factors of z?
3, 5
Suppose 8417 = 5*w - 5563. List the prime factors of w.
2, 3, 233
Suppose 80798 - 21508 = 22*d. List the prime factors of d.
5, 7, 11
Let j = -596 - -1075. List the prime factors of j.
479
Let v(b) = -365*b**3 + 2*b**2 - b - 2. Let h be v(-1). Suppose 3*x - 1161 = -5*p, -4*p - h = -5*x - 1317. What are the prime factors of p?
2, 3, 13
Let z be 16/24 - 53/3. Let d = z + 19. Let s(g) = 4*g**3 - g + 1. List the prime factors of s(d).
31
Suppose 0 = 9*l - 21*l + 9816. What are the prime factors of l?
2, 409
Suppose 5*u - 1396 = -k, 6*k = k - u + 6884. List the prime factors of k.
2, 43
Let t = -44 + 42. Let c(m) = 2 + m - 4 + m**2 + 5*m**2. What are the prime factors of c(t)?
2, 5
Suppose -3*f + 525 = -25*k + 27*k, -5*f + 876 = 3*k. What are the prime factors of f?
3, 59
Suppose 3*v - 378 = -4*u + 3358, 5*u + 2*v = 4663. List the prime factors of u.
7, 19
Suppose 2*m - a = 1249, 2125 - 259 = 3*m - 4*a. List the prime factors of m.
2, 313
Let r = 13 + 1. Let l = r + -19. List the prime factors of ((-27)/l)/((-2)/(-10)).
3
Let c be (-10 - -30)*(54/10 + -1). Let l = 3 + -1. Suppose l*q + 2*q = c. What are the prime factors of q?
2, 11
Suppose 5*m + 4*d = 980, d = m + m - 405. List the prime factors of m.
2, 5
Let d(c) = -33*c + 1. Let s be d(-4). Let f be -95 + 6*(-3)/(-9). Let k = s + f. List the prime factors of k.
2, 5
Let r be (-2 - -6)/((-6)/51). Let p = 27 - r. Let a = -29 + p. List the prime factors of a.
2
Let b(y) be the second derivative of 2*y**2 + 0 - 3*y + 1/2*y**3. List the prime factors of b(6).
2, 11
Let s(p) be the third derivative of p**6/120 - p**5/6 - 7*p**4/24 - p**3 + 8*p**2. What are the prime factors of s(11)?
2, 19
Let j(i) = i**3 - 7*i**2 + 10*i. Let h be j(5). Suppose 531 = 3*a + a - 3*k, h = 5*a + 5*k - 620. List the prime factors of a.
3, 43
Let y be (-12)/14*(-56)/12. Let j be (-1)/((-39)/36 + 1). Suppose -l = -a - 4, 5*a + j = y*l - 0*l. What are the prime factors of l?
2
Suppose v = 5*b - 1014, 0 - 5 = -5*v. Suppose 0 = 2*f - 75 - b. List the prime factors of f.
139
Suppose -4*j + 11*j = -266. Let v = 24 - j. What are the prime factors of v?
2, 31
Let s = 2628 - 1516. List the prime factors of s.
2, 139
Let o = -3774 - -7648. What are the prime factors of o?
2, 13, 149
List the prime factors of (-6 + (-1 - -255))/(-1)*-4.
2, 31
Let k(p) = 2*p**2 - 19*p - 10. Let u be k(10). Suppose j + n - 76 = u, 0 = 3*n - 3. What are the prime factors of j?
3, 5
Suppose -2*a + 13 = 2*l + l, -l = 5*a - 65. Let n = 16 - a. List the prime factors of n.
2
Suppose 0*f - 2*f = -3*r - 5, -5*f = -5*r - 25. Suppose 44 = -3*d - f. Let b = 26 + d. List the prime factors of b.
2
List the prime factors of ((-15680)/168)/((-1)/48).
2, 5, 7
Suppose -3*z - 4683 = -4*i, -2211 - 1305 = -3*i + 3*z. List the prime factors of i.
3, 389
List the prime factors of 16/(-20)*-10 - -170.
2, 89
Let v = -19 - -25. Suppose -r + v = -7. Let a = 20 - r. What are the prime factors of a?
7
Let k(y) = 14*y - 8. Suppose -3*t = -5*t + 20. Let a be (-12)/(-8)*t/3. What are the prime factors of k(a)?
2, 31
Suppose 21*b = 16*b + 5*m + 13210, -b + 2658 = -5*m. List the prime factors of b.
2, 1319
What are the prime factors of 146/(-3)*(5 + -41)?
2, 3, 73
Let b(y) be the third derivative of -y**4/2 + 4*y**3/3 - 6*y**2. Let a be b(-4). Let t = a + -35. List the prime factors of t.
3, 7
Let g(i) = i**2 + 5*i + 15. Let n be g(-8). List the prime factors of 6/n + (-1701)/(-13) + 3.
2, 67
Let w = -92 + 472. List the prime factors of w.
2, 5, 19
Let x(t) = t + 12. Let j be x(-10). List the prime factors of (1246/3)/j + 58/174.
2, 13
Suppose 5*a + 277 = 2*m - 92, 4*a - 4 = 0. List the prime factors of m.
11, 17
Let g(q) = 486*q - 657. List the prime factors of g(8).
3, 359
Suppose -37 = -4*v + 151. Suppose -p + v = 2*w, 4*p - 113 = -4*w + 71. What are the prime factors of p?
3, 5
Let u(s) = s**2 + 14*s + 17. Let k be u(-11). Let r = 71 - k. Let b = 148 - r. List the prime factors of b.
61
Suppose -2*r - 50*f + 55*f + 395 = 0, -5*r + 3*f + 959 = 0. What are the prime factors of r?
2, 5, 19
Let c(j) = -20*j**3 - j**2 + 1. Suppose 0 = 43*v - 38*v + 10. What are the prime factors of c(v)?
157
Let p = 1049 - 660. List the prime factors of p.
389
List the prime factors of -7 - (-150)/18 - 7690/(-6).
1283
Let o be -4 + (0 - -4) - -1. What are the prime factors of o/2 - 30/(-4)?
2
Let l(i) = -10*i + 4. Suppose -3*b - 5*a - 70 = 0, 3*a - 7*a - 21 = b. Let t = b - -21. List the prime factors of l(t).
2, 11
Let o(y) = y**3 + 4*y**2 - 4*y - 8. Let w be o(-4). Suppose -3*z = 2*h - 12, 4*h - 5*z + 12 + w = 0. Suppose 3*u - 2*u - 29 = h. List the prime factors of u.
29
Suppose -4*j - 2*v + 392 = 0, -v + 435 - 45 = 4*j. Suppose 0 = -5*a - 2*r + r + j, 2*a = -5*r + 48. List the prime factors of a.
19
Suppose 0*i + i = -3*q + 1686, 0 = 2*i. What are the prime factors of q?
2, 281
Let o(s) = s**3 + 8*s**2 - 6*s - 7. Let h be -1*7*((-40)/(-14) + -2). What are the prime factors of o(h)?
101
List the prime factors of 10/(-45) + 96813/81.
5, 239
Suppose 3*m - 10 = m. List the prime factors of (-2)/m + (-1323)/(-45).
29
Let t(s) = 51*s - 61. What are the prime factors of t(16)?
5, 151
Suppose 3*o = -6, 0 = -4*d + 3*o - 1117 + 5363. What are the prime factors of d?
2, 5, 53
List the prime factors of -2 + 23634/24 - 6/(-24).
983
Suppose 3*j - 5*j - 290 = -5*u, -3*u + 173 = -j. List the prime factors of u.
2, 7
Suppose 36*o - 1756 - 1016 = 0. List the prime factors of o.
7, 11
Suppose 19380 = 30*f - 13*f. List the prime factors of f.
2, 3, 5, 19
Let i(j) = j**3 - j**2 - 1. Let v(r) = -2*r**3 + 5*r**2 + 8. Let f be (-6)/((-1 - -4)/3). Let t(h) = f*i(h) - v(h). What are the prime factors of t(-2)?
2, 17
Suppose 110 = -4*b - 2*w, -2*w + 48 + 66 = -4*b. Let y = -36 + 78. Let k = y + b. What are the prime factors of k?
2, 7
Let n = -82 - -117. Let x = -749 + 732. Let s = x + n. What are the prime factors of s?
2, 3
Let c(f) = 6*f - 4. Let g be c(2). Suppose 0 = -m + 2*p + 110, -3*m = -g*m + 4*p + 562. What are the prime factors of m?
2, 3, 19
Let k be 4/(36/(-875)) - 2/(-9). Let i = 152 + k. What are the prime factors of i?
5, 11
Let x(b) = -b**3 - 6*b**2 - 5*b. Suppose w = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = l - 25 - 23. What is the tens digit of l?
4
What is the hundreds digit of ((-2 - -44) + 2)/((-2)/(-14))?
3
Let h be (-1)/(1/(6 + 0)). Let w be -3 - (-44 - h/3). Suppose -3*j + 8*j = -m + w, 33 = 4*j - m. What is the units digit of j?
8
Suppose 26*x - 5405 = 3*x. What is the hundreds digit of x?
2
Let n = 16 - 9. Let r = 19 - n. What is the tens digit of r?
1
Let z(p) = -p**3 + 12*p**2 + 5. Let c be z(12). Let x = 5 + c. What is the units digit of x?
0
Let a be 5/10 - (-10)/4. Let j = -92 + 133. Suppose -4*m = -8*p + a*p + 44, 5*p - m - j = 0. What is the units digit of p?
8
Let h(w) = -w + 8. Suppose -2*d - 3 = -2*g + d, -5*g = 3*d - 39. What is the units digit of h(g)?
2
Let z(v) = v - 6. Let t be z(4). Let c(i) = -4*i**3 + 4*i**2 - i - 2. What is the units digit of c(t)?
8
Let x(u) = u**3 - 3*u**2 - 2*u - 10. What is the hundreds digit of x(7)?
1
Suppose 2 + 14 = 4*v. Suppose -6*m + m + 2*x + 41 = 0, -v*x + 8 = 0. What is the units digit of m?
9
Let m(q) = -q**2 + 7*q - 8. What is the units digit of m(5)?
2
Let s(n) = n**3 + 3*n**2 - n + 4. Let l be s(-3). Let t = -4 + l. Suppose 5*i = -2*w - 3, -2*w + i + t*i = -24. What is the units digit of w?
6
What is the units digit of 240/7 - (-2)/(-7)?
4
Suppose -5*g + 5*p + 25 = 0, 2*g - 5*p - 7 = 3*g. Let b(s) = 2*s**2 + s + 1. Let q be b(g). Suppose 0 = -2*k - 0*k + q. What is the units digit of k?
1
Suppose 24*f - 18*f - 1944 = 0. What is the hundreds digit of f?
3
Let j = 7 - 3. What is the units digit of j?
4
Let t be -3*(-1 + -3 + 3). Suppose 3*l + t - 6 = 0. What is the units digit of l?
1
Let x be (-3 - -4)*(-2 + 8). Suppose -d - 2*b = -x*b - 10, -4*b + 2 = 5*d. Suppose -d*p = -5 - 11. What is the units digit of p?
8
Let d(n) be the third derivative of n**4/24 - n**3 - 2*n**2. What is the units digit of d(10)?
4
Suppose -7*o - 68 = -9*o. What is the tens digit of o?
3
Suppose 0 = 2*i + 3*r - 146, -2*r = 1 + 3. What is the tens digit of i?
7
What is the units digit of 6808/18 + 52/(-234)?
8
Suppose -3 = r - 7, 5*j = -4*r + 26. Suppose 9 = j*q - 11. What is the units digit of q?
0
Let s(f) = -2*f + 39. What is the units digit of s(0)?
9
Suppose 3*v - 21 = -3*a, 5*a + v - 15 = -0*a. Suppose -a*g = -i - 25, 2*g + 3*i = -0*i + 45. What is the units digit of (g/4)/5*8?
6
What is the tens digit of 15*2 + 1 + -4?
2
Let g(t) = t**3 + 10*t**2 + 10*t - 4. Let s be g(-8). Let q be s*((-1)/(-2) + 0). Suppose -2*i = -0*i - q. What is the tens digit of i?
1
Suppose 2*v + 215 = 5*c, 6*c + 2*v = 2*c + 172. What is the tens digit of c?
4
Let i = 162 + -102. Let k = i + -84. What is the units digit of (-3)/4 + (-306)/k?
2
Let t(k) = -k**2 - 21*k + 25. What is the hundreds digit of t(-16)?
1
Let c(n) = n**3 + n**2 + n. Let i be c(-1). Let y(f) = -12*f**3 + 2*f**2 - f - 2. What is the tens digit of y(i)?
1
Let q = 43 + 4. Let i = 77 - q. What is the tens digit of i?
3
Suppose 27 = -2*z + 5*z. What is the units digit of z?
9
Suppose -4*d + 4*a = -288, 0 = 3*d - 6*a + a - 220. What is the units digit of d?
0
Suppose 2*v - a + 57 = 4*v, v + 2*a - 30 = 0. Let d(j) = 20*j. Let w be d(-1). Let x = v + w. What is the units digit of x?
8
Let l be 1/2 + (-72)/16. What is the tens digit of l/(-18) + 992/72?
1
Let u = 4 - 6. Let r be -4*(11/(-4) - u). Suppose -2*l - 7 = -r*l. What is the units digit of l?
7
Suppose -j + 2*y - y = -19, -3*j - 3*y = -69. Suppose 4*k - j = 59. What is the tens digit of k?
2
Let x be 9/(1 + (-21)/18). What is the tens digit of (2/(-3))/(3/x)?
1
Suppose 24*f = 25*f - 30. What is the units digit of f?
0
Suppose 4*m + 2 = -14. What is the units digit of (-11)/m - (-27)/(-36)?
2
Let y be 2/(-5) + 27/5. Suppose 3*r - 33 = y*j + 21, -r + 18 = 2*j. Suppose -d + 3*z = -r, -2*d - d = 5*z + 16. What is the units digit of d?
3
Suppose f - 6 = -3*a, -3*f = -2*a - 0*f + 4. Suppose -a*n + 3 = -2*z + 7, 4*z - 5 = 5*n. What is the units digit of z?
5
Let g(q) = -q**3 + 15*q**2 + q. Let k be g(15). Let v = 2 - 1. Let a = k + v. What is the tens digit of a?
1
Suppose 2*t - 4*u = -2, 0*t + 5*u = -3*t + 19. Let f be (22/(-4))/((-2)/16). Suppose t*z + z = f. What is the units digit of z?
1
Let l = -5 + -21. Suppose 2*k + 11 + 17 = 0. Let m = k - l. What is the tens digit of m?
1
Suppose 5*m - 4*m = 0. Suppose m = a - 0 - 6. What is the units digit of 2/a + 10/6?
2
Let k(l) = 2*l**2 + 1. Suppose 4*p + 5*x = -11, -4*p - 3*x = -8*x - 19. Let r be k(p). Suppose -3*t + r = v - 7*t, -9 = -v - 2*t. What is the units digit of v?
7
Suppose 0 = 2*t - 0 - 2. What is the units digit of t?
1
Let o be (1 - 1)/(4/2). Let l(y) = -y**2 + y + 26. Let i be l(o). Suppose 5*w = i + 4. What is the units digit of w?
6
Let m(d) = 10*d - 7. Let o be m(-5). Let j = -23 - o. Suppose 2*z + p = -7 + j, -5*p - 75 = -5*z. What is the units digit of z?
4
Let c(o) = 231*o - 1. What is the hundreds digit of c(1)?
2
Suppose -4*j = 3*c - 1 - 17, 3*c - 6 = 0. Suppose -j*s - 90 = -8*s. Let f = s - 8. What is the tens digit of f?
1
Let j(r) = 1 - r - 3*r**3 + 1 - r**2 + 5*r**3. What is the units digit of j(2)?
2
Let y(n) = -n**3 + 9*n**2 - n - 3. Let p be y(9). Let g = 43 + p. What is the units digit of g?
1
Let b(i) be the third derivative of i**4/24 - 4*i**3/3 - 2*i**2. Let h be b(9). What is the units digit of h/(-1) + 10 + 2?
1
Suppose 1 = 2*j - 25. What is the tens digit of j?
1
Let i be 3 + -4 + 1*3. Let u = i - 2. Suppose h - 4 = -u*h. What is the units digit of h?
4
Suppose 5*a = -5*l - 425, 0 = -a + 4*a - 2*l + 230. Let v = -55 - a. Suppose 0 = 2*o - 7*o + v. What is the units digit of o?
5
Suppose -4*z - 2*z + 276 = 0. What is the tens digit of z?
4
Let d(i) = -i**3 + 6*i**2 + 11*i - 6. Let v = -18 + 25. What is the units digit of d(v)?
2
Let m(b) = -b**2 - 9*b + 14. Let j be m(-10). What is the tens digit of 12/(-48) - (-65)/j?
1
Let g be (6/(-10))/((-5)/25). Suppose -2*a + g*a = 4*b - 11, -4*a - 2 = -2*b. Suppose 4*o + 13 = 5*k, -b*k + 4*o + 5 = 3*o. What is the units digit of k?
1
Let b be (-10 + 7)*(-52)/6. Suppose -3*f - 9 = -2*o - b, 8 = -4*f - 5*o. What is the units digit of f?
3
Let f(n) = -13*n + 2. Let h(l) = 26*l - 5. Let v(g) = 7*f(g) + 3*h(g). What is the units digit of v(-1)?
2
What is the units digit of ((-470)/6)/(33/(-99))?
5
Let y(a) be the first derivative of a**5/60 + a**4/4 - 5*a**3/6 + a**2 - 2. Let p(q) be the second derivative of y(q). What is the units digit of p(-7)?
2
Suppose -22*o = -24*o + 122. What is the units digit of o?
1
Suppose -2*l + 380 = -m, 0*l - 2*m = -l + 187. What is the hundreds digit of l?
1
Let v be (10/(-4))/((-4)/(-8)). Let o = -3 - v. Suppose 0 = -o*k + 5 + 5. What is the units digit of k?
5
Suppose -2*y + 18 + 142 = 0. What is the tens digit of y?
8
Let a(v) = -23*v**3 + 1. What is the units digit of a(-1)?
4
Let q be 3/3 - 48/2. Let v = q - -63. Suppose -v = -3*c + 2*i, -3*i - 2*i - 58 = -4*c. What is the tens digit of c?
1
Let x(r) = 6*r. Let s be x(1). Let h be (4/s)/((-4)/6). What is the units digit of h/(8/10 + -1)?
5
Suppose 2*c = -c - 6, 5*c = 4*d - 34. What is the units digit of 1/(-2) + d/4?
1
Let q = 45 + -17. What is the units digit of q?
8
Let j(g) = 2*g + 2*g - 7*g + 11 - 7*g + g**2. What is the units digit of j(9)?
2
Let s(n) = n**3 + 45. What is the units digit of s(0)?
5
Suppose g - 5 = -1. What is the units digit of 37/3 - g/(-6)?
3
Suppose -2*v + 4*r = -0*r - 176, -2*r - 2 = 0. What is the units digit of v?
6
Let b(f) = -f + 13. Let y be b(8). Suppose 111 = -y*n + 8*n. What is the units digit of n?
7
Let p(r) = 4*r. What is the tens digit of p(4)?
1
Suppose 5*d - 2*v + 101 = -119, 5 = v. What is the tens digit of (3/3)/((-2)/d)?
2
Suppose -b - 161 = 5*t - 9*t, -b - 1 = 0. What is the units digit of t?
0
Let w(v) = -5*v + 1. Let g(l) = 0*l - l - 2 - 2. Let z be g(-3). What is the units digit of w(z)?
6
Let d(q) = -q + 64. Let v be d(0). Let l = 90 - v. Suppose -5*w + l = -9. What is the units digit of w?
7
Let a(q) = -q**3 + 13*q**2 - 11*q - 5. What is the tens digit of a(11)?
1
Let j(g) = 5*g - 7. Let n be j(5). Let c = n - -1. What is the tens digit of c?
1
Let r(w) = 3*w**2 - 23*w - 9. What is the hundreds digit of r(13)?
1
Suppose -5*w + 321 = -2*w. What is the hundreds digit of w?
1
Suppose 3*w + 4 = 16, 4*m - w - 536 = 0. What is the hundreds digit of m?
1
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
40, -10187, -21720, -39631?
-232*g**3 + 291*g**2 + 5
What is the x'th term of 5479, 9048, 12617, 16186?
3569*x + 1910
What is the y'th term of 9126, 19589, 30050, 40509, 50966, 61421, 71874?
-y**2 + 10466*y - 1339
What is the m'th term of 4027, 16747, 37947, 67627, 105787, 152427?
4240*m**2 - 213
What is the t'th term of -247076, -494027, -740978, -987929, -1234880, -1481831?
-246951*t - 125
What is the v'th term of -650, -956, -1122, -1148, -1034?
70*v**2 - 516*v - 204
What is the w'th term of 5013831, 10027662, 15041493, 20055324?
5013831*w
What is the p'th term of -59375, -123241, -187107, -250973?
-63866*p + 4491
What is the b'th term of -14467, -57835, -130165, -231457?
-14481*b**2 + 75*b - 61
What is the h'th term of -69395, -69387, -69351, -69275, -69147?
2*h**3 + 2*h**2 - 12*h - 69387
What is the o'th term of 34056, 33956, 33822, 33654, 33452?
-17*o**2 - 49*o + 34122
What is the s'th term of 906173, 906251, 906385, 906581, 906845, 907183, 907601, 908105?
s**3 + 22*s**2 + 5*s + 906145
What is the x'th term of -200891, -803502, -1807855, -3213950, -5021787, -7231366?
-200871*x**2 + 2*x - 22
What is the o'th term of -75657, -75671, -75685, -75699, -75713?
-14*o - 75643
What is the a'th term of 1057126, 1057064, 1057002, 1056940, 1056878, 1056816?
-62*a + 1057188
What is the v'th term of -278309, -278313, -278309, -278291, -278253, -278189, -278093?
v**3 - 2*v**2 - 5*v - 278303
What is the l'th term of -22346, -44785, -67314, -89933, -112642?
-45*l**2 - 22304*l + 3
What is the j'th term of -27, 845, 2635, 5343?
459*j**2 - 505*j + 19
What is the k'th term of 434140, 868260, 1302380, 1736500, 2170620?
434120*k + 20
What is the b'th term of -2238777, -2238771, -2238747, -2238693, -2238597?
2*b**3 - 3*b**2 + b - 2238777
What is the z'th term of 286001, 286318, 286637, 286958, 287281, 287606?
z**2 + 314*z + 285686
What is the i'th term of -120678, -123632, -126584, -129534, -132482?
i**2 - 2957*i - 117722
What is the i'th term of -118, -941, -1756, -2563, -3362, -4153?
4*i**2 - 835*i + 713
What is the r'th term of -170442, -170497, -170562, -170643, -170746, -170877?
-r**3 + r**2 - 51*r - 170391
What is the y'th term of -1640066, -1640227, -1640388?
-161*y - 1639905
What is the r'th term of -105233735, -105233734, -105233733, -105233732?
r - 105233736
What is the x'th term of 150, 6, -292, -744, -1350?
-77*x**2 + 87*x + 140
What is the f'th term of -52822, -102239, -151658, -201079?
-f**2 - 49414*f - 3407
What is the f'th term of -43, -2629, -9657, -23347, -45919, -79593, -126589, -189127?
-370*f**3 - f**2 + 7*f + 321
What is the z'th term of 354909, 354953, 355027, 355131, 355265, 355429?
15*z**2 - z + 354895
What is the b'th term of -60, -490, -1574, -3606, -6880, -11690, -18330?
-49*b**3 - 33*b**2 + 12*b + 10
What is the g'th term of -15057, -24217, -33371, -42519, -51661?
3*g**2 - 9169*g - 5891
What is the v'th term of 510918, 1022023, 1533126, 2044227?
-v**2 + 511108*v - 189
What is the n'th term of 1069, 1103, 1173, 1279?
18*n**2 - 20*n + 1071
What is the u'th term of -23987, -95974, -215953, -383924, -599887, -863842, -1175789?
-23996*u**2 + u + 8
What is the c'th term of 3474269, 6948537, 10422805, 13897073?
3474268*c + 1
What is the j'th term of -3296, -24172, -58958, -107648, -170236?
j**3 - 6961*j**2 + 3664
What is the q'th term of 35857, 71668, 107437, 143164?
-21*q**2 + 35874*q + 4
What is the w'th term of -101224, -101327, -101608, -102157, -103064, -104419, -106312, -108833?
-15*w**3 + w**2 - w - 101209
What is the q'th term of 68861, 275442, 619761, 1101830, 1721661?
2*q**3 + 68857*q**2 - 4*q + 6
What is the s'th term of -466989, -467007, -467035, -467073, -467121?
-5*s**2 - 3*s - 466981
What is the d'th term of 550944, 550430, 549914, 549396, 548876?
-d**2 - 511*d + 551456
What is the q'th term of 65933, 65940, 65937, 65924, 65901, 65868?
-5*q**2 + 22*q + 65916
What is the j'th term of -146452, -287521, -428590, -569659, -710728, -851797?
-141069*j - 5383
What is the b'th term of 11892, 47725, 107484, 191169?
11963*b**2 - 56*b - 15
What is the a'th term of 12930, 13778, 14636, 15510, 16406?
a**3 - a**2 + 844*a + 12086
What is the t'th term of -12307, -24633, -36959, -49285, -61611?
-12326*t + 19
What is the s'th term of -90888, -87181, -83476, -79773, -76072?
-s**2 + 3710*s - 94597
What is the z'th term of 278085, 556043, 833979, 1111893, 1389785?
-11*z**2 + 277991*z + 105
What is the w'th term of 86591374, 173182748, 259774120, 346365490?
-w**2 + 86591377*w - 2
What is the j'th term of 1693, 1362, 635, -632, -2583?
-24*j**3 - 54*j**2 - j + 1772
What is the m'th term of 3061, 2464, 789, -2504, -7955?
-90*m**3 + m**2 + 30*m + 3120
What is the w'th term of 2769, 10493, 23167, 40791, 63365, 90889, 123363?
2475*w**2 + 299*w - 5
What is the q'th term of 9607, 75469, 254213, 602275, 1176091, 2032097, 3226729?
9406*q**3 + 5*q**2 + 5*q + 191
What is the w'th term of -21928102, -43856240, -65784380, -87712522, -109640666?
-w**2 - 21928135*w + 34
What is the u'th term of 7175853, 7175841, 7175829, 7175817, 7175805, 7175793?
-12*u + 7175865
What is the o'th term of 5301, 5292, 5229, 5082, 4821?
-5*o**3 + 3*o**2 + 17*o + 5286
What is the c'th term of -94126, -94104, -94060, -93982, -93858, -93676?
2*c**3 - c**2 + 11*c - 94138
What is the i'th term of 154946, 619764, 1394456, 2479022?
154937*i**2 + 7*i + 2
What is the r'th term of -32362, -32392, -32426, -32464?
-2*r**2 - 24*r - 32336
What is the j'th term of 46841, 47145, 47951, 49505, 52053, 55841, 61115?
41*j**3 + 5*j**2 + 2*j + 46793
What is the a'th term of -426, 2481, 7334, 14133, 22878, 33569, 46206?
973*a**2 - 12*a - 1387
What is the w'th term of 4823, 9924, 15025?
5101*w - 278
What is the y'th term of -324637, -2597117, -8765253, -20776873, -40579805, -70121877?
-324638*y**3 - 14*y + 15
What is the x'th term of 66258716, 132517430, 198776144, 265034858, 331293572, 397552286?
66258714*x + 2
What is the l'th term of 3934173, 3934172, 3934169, 3934164, 3934157, 3934148?
-l**2 + 2*l + 3934172
What is the i'th term of 21257, 42429, 63515, 84515, 105429, 126257, 146999?
-43*i**2 + 21301*i - 1
What is the f'th term of 10668, 13612, 18534, 25446, 34360, 45288, 58242?
2*f**3 + 977*f**2 - f + 9690
What is the m'th term of 9993, 19412, 28829, 38244, 47657, 57068?
-m**2 + 9422*m + 572
What is the n'th term of -4608546, -4608557, -4608568, -4608579, -4608590?
-11*n - 4608535
What is the o'th term of -323702, -323661, -323596, -323507, -323394, -323257?
12*o**2 + 5*o - 323719
What is the t'th term of -486838408, -486838409, -486838410, -486838411?
-t - 486838407
What is the g'th term of 3317608, 6635226, 9952844?
3317618*g - 10
What is the s'th term of -4035, -7792, -11517, -15210, -18871, -22500?
16*s**2 - 3805*s - 246
What is the k'th term of -4331, -4275, -4193, -4091, -3975, -3851, -3725, -3603?
-k**3 + 19*k**2 + 6*k - 4355
What is the s'th term of -41990, -82442, -122894, -163346, -203798?
-40452*s - 1538
What is the m'th term of 4321, 9212, 14677, 20716, 27329, 34516?
287*m**2 + 4030*m + 4
What is the p'th term of -5426, -10863, -16310, -21767, -27234, -32711?
-5*p**2 - 5422*p + 1
What is the i'th term of 1514614, 3029226, 4543838, 6058450?
1514612*i + 2
What is the y'th term of -2557537, -2557535, -2557533, -2557531, -2557529, -2557527?
2*y - 2557539
What is the g'th term of 150443, 150370, 150279, 150170, 150043, 149898, 149735?
-9*g**2 - 46*g + 150498
What is the s'th term of -9495, -19034, -28673, -38412?
-50*s**2 - 9389*s - 56
What is the b'th term of 6795, 13699, 20801, 28197, 35983?
16*b**3 + 3*b**2 + 6783*b - 7
What is the y'th term of 2288, 15846, 51942, 121844, 236820, 408138, 647066, 964872?
1878*y**3 + y**2 + 409*y
What is the i'th term of -10478, -41863, -94162, -167375, -261502, -376543, -512498?
-10457*i**2 - 14*i - 7
What is the x'th term of 17318, 17317, 17318, 17321?
x**2 - 4*x + 17321
What is the j'th term of -530815, -1060762, -1590709, -2120656?
-529947*j - 868
What is the w'th term of 33944, 135770, 305538, 543296, 849092, 1222974, 1664990?
8*w**3 + 33923*w**2 + w + 12
What is the i'th term of 13928514, 13928512, 13928510, 13928508, 13928506?
-2*i + 13928516
What is the r'th term of -7217, -29411, -66415, -118235, -184877, -266347, -362651, -473795?
-r**3 - 7399*
|
{
"pile_set_name": "DM Mathematics"
}
|
th root of 37092752 to the nearest integer?
18
What is 2028387 to the power of 1/6, to the nearest integer?
11
What is the cube root of 1920829 to the nearest integer?
124
What is the square root of 189688 to the nearest integer?
436
What is the cube root of 30664673 to the nearest integer?
313
What is 8235294 to the power of 1/2, to the nearest integer?
2870
What is 245251 to the power of 1/3, to the nearest integer?
63
What is the square root of 1857262 to the nearest integer?
1363
What is 15293671 to the power of 1/7, to the nearest integer?
11
What is the eighth root of 378709 to the nearest integer?
5
What is 209678 to the power of 1/8, to the nearest integer?
5
What is the cube root of 23298313 to the nearest integer?
286
What is the fifth root of 31778900 to the nearest integer?
32
What is the ninth root of 1297663 to the nearest integer?
5
What is the cube root of 113193 to the nearest integer?
48
What is 714066 to the power of 1/3, to the nearest integer?
89
What is the cube root of 1699806 to the nearest integer?
119
What is 2043401 to the power of 1/3, to the nearest integer?
127
What is the ninth root of 2640240 to the nearest integer?
5
What is 290686 to the power of 1/2, to the nearest integer?
539
What is 7519924 to the power of 1/2, to the nearest integer?
2742
What is the ninth root of 24850 to the nearest integer?
3
What is 19058 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 360931 to the nearest integer?
5
What is the seventh root of 260680 to the nearest integer?
6
What is 67130 to the power of 1/3, to the nearest integer?
41
What is the cube root of 1333431 to the nearest integer?
110
What is the third root of 8065110 to the nearest integer?
201
What is 550716 to the power of 1/2, to the nearest integer?
742
What is 1481359 to the power of 1/3, to the nearest integer?
114
What is the third root of 1677513 to the nearest integer?
119
What is the square root of 40660 to the nearest integer?
202
What is the cube root of 5844808 to the nearest integer?
180
What is the cube root of 806997 to the nearest integer?
93
What is 19543800 to the power of 1/3, to the nearest integer?
269
What is 7583268 to the power of 1/3, to the nearest integer?
196
What is 27793997 to the power of 1/2, to the nearest integer?
5272
What is the cube root of 6036705 to the nearest integer?
182
What is 150736 to the power of 1/8, to the nearest integer?
4
What is the cube root of 411954 to the nearest integer?
74
What is the sixth root of 160643 to the nearest integer?
7
What is the third root of 443067 to the nearest integer?
76
What is the fourth root of 1373003 to the nearest integer?
34
What is the square root of 228377 to the nearest integer?
478
What is the third root of 19886857 to the nearest integer?
271
What is the square root of 314491 to the nearest integer?
561
What is 256929 to the power of 1/3, to the nearest integer?
64
What is the square root of 15852488 to the nearest integer?
3982
What is the third root of 256877 to the nearest integer?
64
What is 82712 to the power of 1/7, to the nearest integer?
5
What is the fifth root of 173950 to the nearest integer?
11
What is 27879863 to the power of 1/3, to the nearest integer?
303
What is 4394234 to the power of 1/4, to the nearest integer?
46
What is the seventh root of 353347 to the nearest integer?
6
What is the sixth root of 1595187 to the nearest integer?
11
What is the eighth root of 971650 to the nearest integer?
6
What is 45653 to the power of 1/2, to the nearest integer?
214
What is the square root of 2984176 to the nearest integer?
1727
What is the fourth root of 6389720 to the nearest integer?
50
What is 37264 to the power of 1/2, to the nearest integer?
193
What is the square root of 206341 to the nearest integer?
454
What is the third root of 8976552 to the nearest integer?
208
What is the sixth root of 226701 to the nearest integer?
8
What is 15791613 to the power of 1/2, to the nearest integer?
3974
What is the cube root of 94671 to the nearest integer?
46
What is the third root of 234299 to the nearest integer?
62
What is 93885 to the power of 1/2, to the nearest integer?
306
What is the third root of 5037659 to the nearest integer?
171
What is the cube root of 1593019 to the nearest integer?
117
What is 18874813 to the power of 1/2, to the nearest integer?
4345
What is the eighth root of 18627621 to the nearest integer?
8
What is the cube root of 1455112 to the nearest integer?
113
What is the square root of 77674 to the nearest integer?
279
What is 580511 to the power of 1/2, to the nearest integer?
762
What is the cube root of 796322 to the nearest integer?
93
What is the tenth root of 36382 to the nearest integer?
3
What is the square root of 2210575 to the nearest integer?
1487
What is 156465 to the power of 1/8, to the nearest integer?
4
What is the fourth root of 2694463 to the nearest integer?
41
What is 5679887 to the power of 1/9, to the nearest integer?
6
What is the fifth root of 588340 to the nearest integer?
14
What is 1587794 to the power of 1/6, to the nearest integer?
11
What is the square root of 561852 to the nearest integer?
750
What is 994320 to the power of 1/7, to the nearest integer?
7
What is 11757508 to the power of 1/5, to the nearest integer?
26
What is 1330910 to the power of 1/6, to the nearest integer?
10
What is 800027 to the power of 1/2, to the nearest integer?
894
What is the cube root of 248569 to the nearest integer?
63
What is 3134125 to the power of 1/2, to the nearest integer?
1770
What is the cube root of 620046 to the nearest integer?
85
What is the third root of 881008 to the nearest integer?
96
What is 3584575 to the power of 1/7, to the nearest integer?
9
What is 276743 to the power of 1/2, to the nearest integer?
526
What is 1314562 to the power of 1/3, to the nearest integer?
110
What is the cube root of 83922 to the nearest integer?
44
What is 26855 to the power of 1/3, to the nearest integer?
30
What is the square root of 423458 to the nearest integer?
651
What is 985839 to the power of 1/10, to the nearest integer?
4
What is the third root of 773664 to the nearest integer?
92
What is the square root of 185768 to the nearest integer?
431
What is the eighth root of 108546 to the nearest integer?
4
What is the cube root of 106893 to the nearest integer?
47
What is the seventh root of 798729 to the nearest integer?
7
What is 79056 to the power of 1/8, to the nearest integer?
4
What is 492560 to the power of 1/2, to the nearest integer?
702
What is 5656573 to the power of 1/3, to the nearest integer?
178
What is the fifth root of 376312 to the nearest integer?
13
What is the fourth root of 3608860 to the nearest integer?
44
What is the square root of 2416176 to the nearest integer?
1554
What is the square root of 25909988 to the nearest integer?
5090
What is the third root of 1277501 to the nearest integer?
109
What is the square root of 43355206 to the nearest integer?
6584
What is the square root of 1478537 to the nearest integer?
1216
What is the eighth root of 646632 to the nearest integer?
5
What is 709097 to the power of 1/8, to the nearest integer?
5
What is 4435141 to the power of 1/3, to the nearest integer?
164
What is 12629158 to the power of 1/2, to the nearest integer?
3554
What is the square root of 2329239 to the nearest integer?
1526
What is the fourth root of 125989 to the nearest integer?
19
What is 1490529 to the power of 1/4, to the nearest integer?
35
What is the square root of 1186095 to the nearest integer?
1089
What is the seventh root of 106450 to the nearest integer?
5
What is the fifth root of 4054954 to the nearest integer?
21
What is the square root of 16892651 to the nearest integer?
4110
What is 252787 to the power of 1/6, to the nearest integer?
8
What is the fourth root of 862621 to the nearest integer?
30
What is 10613395 to the power of 1/2, to the nearest integer?
3258
What is 814611 to the power of 1/2, to the nearest integer?
903
What is the square root of 61412 to the nearest integer?
248
What is the square root of 23622 to the nearest integer?
154
What is the fourth root of 4472726 to the nearest integer?
46
What is 247451 to the power of 1/2, to the nearest in
|
{
"pile_set_name": "DM Mathematics"
}
|
23
What is 1000011101011111011 (base 2) in base 13?
99265
Convert 423b4 (base 16) to base 14.
70c16
Convert 99178 (base 12) to base 5.
22434122
What is 100200001022 (base 3) in base 12?
92168
682b86 (base 12) to base 7
20100243
22111111101000 (base 3) to base 2
10001001110110100100010
What is -752173 (base 10) in base 6?
-24042141
What is 27942 (base 10) in base 7?
144315
What is -25df1f (base 16) in base 7?
-30045003
732851 (base 9) to base 6
13154414
Convert 381757 (base 16) to base 11.
2090910
What is 14b375 (base 14) in base 5?
141103423
-323423 (base 9) to base 11
-121944
-2131033001 (base 4) to base 16
-9d3c1
What is 28912 (base 12) in base 11?
39590
-804950 (base 10) to base 14
-16d4c6
Convert -346214a (base 11) to base 8.
-27047442
-170608 (base 9) to base 5
-11333340
What is 30231322 (base 5) in base 8?
732030
What is 323066 (base 9) in base 3?
100210002020
Convert -20003321320 (base 4) to base 8.
-10037170
2a2553 (base 12) to base 10
709263
20230131 (base 4) to base 5
2114423
bc2a91 (base 13) to base 11
2558773
What is 11554522 (base 6) in base 12?
15ba42
-1011001010110011101 (base 2) to base 15
-7368b
Convert e9f8 (base 16) to base 2.
1110100111111000
-1333414 (base 5) to base 7
-142523
-b4719 (base 14) to base 5
-102404242
Convert -257aa58 (base 11) to base 13.
-c0469c
What is -22331122 (base 5) in base 6?
-4132520
Convert -d5735b (base 16) to base 6.
-1215454255
What is 11230312030 (base 4) in base 13?
40428a
Convert 8acadd (base 16) to base 6.
522542353
-11001011011001110110001 (base 2) to base 16
-65b3b1
Convert 190 (base 16) to base 3.
112211
-1162c6 (base 13) to base 6
-12510304
Convert -1449705 (base 11) to base 7.
-30066124
-235200 (base 7) to base 2
-1010011010000110
Convert 555240453 (base 6) to base 3.
200220200200120
363717 (base 9) to base 16
35893
-a78a (base 13) to base 12
-1156b
44cda (base 16) to base 9
468521
1746566 (base 8) to base 15
a17a0
Convert -2107337 (base 8) to base 7.
-4524112
Convert 401816 (base 9) to base 12.
b55b0
-4a746 (base 13) to base 2
-100001100011101111
Convert 2ca4d4 (base 14) to base 10.
1565050
What is 34204154 (base 6) in base 2?
11111110100111100110
What is -11c25 (base 13) in base 6?
-411533
Convert -101325 (base 6) to base 5.
-224432
-6b803 (base 13) to base 4
-300010120
Convert -24517aa (base 14) to base 12.
-59b53b6
Convert -1000000000001110000 (base 2) to base 5.
-31343011
-5654061 (base 7) to base 14
-144031
505230 (base 7) to base 8
247555
What is 539453 (base 10) in base 13?
15b705
110111011100110001010 (base 2) to base 13
4b803c
Convert 1185a3a (base 12) to base 7.
40664053
What is 141046455 (base 7) in base 15?
c177d0
111010110110010 (base 2) to base 5
1431010
What is 55041 (base 11) in base 2?
10011100000100001
91a10 (base 15) to base 12
1a2b29
1110000101100000100 (base 2) to base 15
91b67
Convert -98169 (base 10) to base 12.
-48989
Convert 1301552304 (base 6) to base 15.
1506604
What is 11bbf (base 16) in base 3?
10200122100
-230113 (base 5) to base 14
-2d8a
4579 (base 13) to base 9
14314
What is 1476250 (base 8) in base 6?
13040104
93970 (base 11) to base 16
216e0
-35324324 (base 7) to base 13
-851192
-b3c9 (base 15) to base 14
-dbb7
4683257 (base 9) to base 6
130155511
What is -3035181 (base 9) in base 8?
-6127615
What is -316258 (base 11) in base 9?
-851186
-13984593 (base 10) to base 7
-226603260
What is 1022102011 (base 3) in base 4?
12103120
What is -251140334 (base 6) in base 11?
-27a1369
What is -61415 (base 11) in base 7?
-522310
8c446 (base 13) to base 5
31134321
What is 110001110011001000 (base 2) in base 10?
203976
What is -1213280 (base 9) in base 7?
-5411613
What is -126c8 (base 16) in base 3?
-10211111222
6514 (base 10) to base 4
1211302
What is 1113106 (base 7) in base 4?
201223111
-1221201202011 (base 3) to base 11
-649886
What is -1212210111112 (base 3) in base 9?
-1783445
What is 161355 (base 7) in base 8?
75777
Convert 21112102012 (base 3) to base 6.
3102305
Convert -220011020202 (base 3) to base 14.
-c53d8
-117e10 (base 16) to base 3
-2011020112200
Convert 8823a0 (base 12) to base 14.
403532
-14441011 (base 5) to base 6
-3201032
Convert -72286 (base 13) to base 14.
-548a5
Convert -2650451 (base 7) to base 12.
-149735
Convert 61b63b4 (base 12) to base 16.
118d1b8
What is -4151476 (base 8) in base 7?
-12241510
Convert -1a2a0 (base 16) to base 8.
-321240
7a22a (base 11) to base 3
12220012221
Convert -101100011000011100 (base 2) to base 12.
-89250
What is -1121042044 (base 5) in base 10?
-2518399
1671663 (base 9) to base 16
e3c46
Convert 533510552 (base 6) to base 9.
18644355
Convert 1643606 (base 9) to base 13.
260424
Convert 695447 (base 16) to base 10.
6902855
Convert 1b843 (base 12) to base 16.
9ff3
What is 16120155 (base 7) in base 9?
2823673
330712 (base 8) to base 12
54322
Convert -2120221 (base 3) to base 14.
-98c
What is 214a32 (base 12) in base 13?
155a14
-17a0b91 (base 13) to base 10
-7713447
Convert dad83 (base 14) to base 6.
15203235
110010011100110011101 (base 2) to base 5
410400044
What is 49998 (base 10) in base 3?
2112120210
5102e0 (base 16) to base 15
6ed137
Convert -564433 (base 7) to base 15.
-1e98d
Convert 21120212101210 (base 3) to base 8.
17303606
Convert 14324403 (base 5) to base 3.
21201022012
What is -30030320 (base 4) in base 15?
-ec1b
What is 120412 (base 12) in base 7?
2321042
Convert 234536 (base 9) to base 5.
14004020
What is 111011011010000110001000 (base 2) in base 10?
15573384
What is -10303123101 (base 4) in base 8?
-4633321
What is 1131300033 (base 4) in base 15?
78bb0
121328 (base 9) to base 4
101313101
Convert 421908 (base 11) to base 9.
1240155
8134159 (base 11) to base 4
312313131323
101212010022102 (base 3) to base 15
78e758
What is -90280 (base 11) in base 9?
-221176
Convert 1070 (base 16) to base 14.
1768
-1b0efc (base 16) to base 13
-4a11c4
What is -2297862 (base 11) in base 9?
-7477036
-3123222343 (base 5) to base 13
-1452a7c
10242104 (base 5) to base 9
142487
Convert 7619 (base 16) to base 11.
20795
Convert 20324012 (base 5) to base 6.
3330530
What is 608638 (base 10) in base 9?
1126804
What is -b7b12 (base 12) in base 9?
-407605
Convert -2201220010100 (base 3) to base 2.
-101100011000101101101
327c34 (base 15) to base 16
24b575
52440543 (base 6) to base 13
41722b
Convert 9ada31 (base 14) to base 3.
100220100110012
Convert -1421127 (base 11) to base 2.
-1001010101010011000000
Convert -3330141241 (base 5) to base 15.
-989781
What is 1100011111000111111 (base 2) in base 12?
17893b
8a317 (base 12) to base 14
4acb9
What is -200ba1b (base 13) in base 10?
-9679499
What is -133521 (base 6) in base 10?
-12505
-100010101111100010001 (base 2) to base 13
-30b250
2570036 (base 8) to base 2
10101111000000011110
Convert -9702c (base 13) to base 10.
-272466
What is -124941 (base 10) in base 14?
-33765
Convert -22240323 (base 5) to base 10.
-196338
Convert -1a1a79 (base 11) to base 13.
-ab1ac
Convert 111101101111101 (base 2) to base 5.
2002423
Convert -348c1 (base 13) to base 16.
-176ec
Convert 103120402 (base 5) to base 2.
1101011111001111001
Convert 1be31 (base 15) to base 8.
261502
-1229353 (base 10) to base 6
-42203241
-53d75 (base 15) to base 13
-94286
120020221220101 (base 3) to base 9
16227811
10120201211210 (base 3) to base 6
104450550
What is -292342 (base 11) in base 6?
-13443250
What is -33112230 (base 4) in base 3?
-10012021100
What is 13124112221 (base 5) in base 16?
f7c764
Convert 47327 (base 13) to base 7.
1051325
What is 1904546 (base 10) in base 15?
27949b
15124672 (base 8) to base 10
3451322
-48b96 (base 16) to base 15
-5d3d8
Convert 2698cc (base 13) to base 12.
391291
What is -12001000020020 (base 3) in base 14?
-4d9864
Convert 24341002 (base 5) to base 9.
381471
-1330202 (base 8) to base 5
-43412431
-31d4a3 (base 14) to base 4
-12130032213
Convert -130402313 (base 6) to base 2.
-1001101110110100100101
Convert -1345226 (base 9) to base 7.
-6164352
What is 11111220100100 (base 3) in base 10?
2399391
3344320 (base 5) to base 7
334663
Convert -220331422 (base 5) to base 14.
-1a9bab
Convert 15010 (base 16) to base 10.
86032
Convert 2412ba (base 15) to base 14.
32ca42
What is -11000110100111 (base 2) in base 12?
-7433
1464716 (base 8) to base 2
1100110100111001110
What is -c5b8a (base 15) in base 3?
-10112120011
|
{
"pile_set_name": "DM Mathematics"
}
|
/14*f**7 + 7/20*f**5 + 0 + 32/3*f**4 + 0*f**2 - 40*f + 0*f**3. What is the third derivative of i(g) wrt g?
-180*g**2 + 42
Let w(s) = -s**3 - 7*s**2 - 5*s - 8. Let i be w(-7). Let p = i + -16. What is the first derivative of -11*v + 0*v**4 - v**4 + p*v - 10 wrt v?
-4*v**3
Let l(w) be the first derivative of w**6/3 - 13*w**3/2 + 19*w**2/2 + 52. Let o(v) be the second derivative of l(v). Find the first derivative of o(z) wrt z.
120*z**2
Let z(o) = 3085*o**4 - 5*o**2 - 1631. Let i(j) = 7712*j**4 - 12*j**2 - 4078. Let v(u) = -5*i(u) + 12*z(u). What is the derivative of v(m) wrt m?
-6160*m**3
What is the second derivative of 21*q - 37613 - 4178*q**3 + 37623 + 56*q wrt q?
-25068*q
Let n(p) be the first derivative of 203*p**3 - 2277*p - 1412. Differentiate n(w) wrt w.
1218*w
What is the second derivative of -5723*n + 3380*n + 87*n**3 + 6021*n - 9*n**4 wrt n?
-108*n**2 + 522*n
Let b(v) be the second derivative of 1241*v**4/12 + v**3/2 + 2855*v**2 - v - 40. What is the derivative of b(t) wrt t?
2482*t + 3
Suppose 4*f + o = 17, -2*o + 35 - 19 = 2*f. Let x(g) be the third derivative of 13/24*g**4 + 0*g + 9*g**2 + 0 - 7/3*g**f. What is the derivative of x(w) wrt w?
13
What is the second derivative of 20*o + 205895*o**3 - 2*o**4 - 19*o - 206252*o**3 - 1432 wrt o?
-24*o**2 - 2142*o
Let b(s) = s**2 - 7*s + 11. Let l be b(6). Let u be (-2 - -1 - 0)/(l/(-25)). Find the second derivative of -4*h + 16*h**u - 21*h**5 + h wrt h.
-100*h**3
Let t(h) = -37*h + 188. Let w be t(5). Find the third derivative of -4*a**3 - 3 + 16*a**2 - 10*a**2 + 4*a**3 + 82*a**5 + a**w wrt a.
4920*a**2 + 6
Let i(g) = 759*g**3 + 36*g**2 - 6*g + 10. Let o(q) = 759*q**3 + 37*q**2 - 4*q + 9. Let z(v) = -2*i(v) + 3*o(v). Find the third derivative of z(p) wrt p.
4554
Let r(z) = 317*z + 3664. Let a(q) = -107*q - 1218. Let w(l) = -7*a(l) - 2*r(l). What is the derivative of w(o) wrt o?
115
Suppose -16*n + 227 = 211. Find the second derivative of -333*b**5 + 1 - 13 + 5*b + 9 + n wrt b.
-6660*b**3
Let u(b) be the second derivative of -2361*b**4/4 + 1427*b**3 + 3945*b - 2. Find the second derivative of u(v) wrt v.
-14166
Let m(a) = -82*a + 9612. Let r be m(117). Let i be (-1 + 0)*-1 - -4. What is the third derivative of 11*u**i - r*u**2 - 16*u**2 + 19*u**2 - 2*u**5 wrt u?
540*u**2
Suppose 40*i = 597 + 963. Differentiate i - 2*j - j - j + 30 - 3*j wrt j.
-7
Let o(s) = -s**3 - 5*s**2 + 3*s + 29. Let h be o(-3). Find the third derivative of 112*a**3 - 9*a**3 + 223*a**2 - 164*a**h wrt a.
618
Let a(o) be the third derivative of 7451*o**4/24 + 4745*o**3/3 + 9*o**2 - 3*o + 1. What is the first derivative of a(l) wrt l?
7451
Let j = 113 - 107. Find the third derivative of 2*m**5 - 12*m**j - 12*m + 2*m**5 - 2*m**5 + 0*m**5 - m**2 wrt m.
-1440*m**3 + 120*m**2
Find the third derivative of 136*y**2 - 211*y - 463*y**2 + 211*y - 22*y**5 wrt y.
-1320*y**2
Let o be (-8)/(-24) - (-442)/6. Find the second derivative of 62*j**3 + 7355 - o*j - 7355 wrt j.
372*j
Let s = -9 + 12. Suppose 5*g - 4 = s*g. Differentiate -3*b**3 - 730*b**g + 730*b**2 + 4 with respect to b.
-9*b**2
Differentiate 419 - 251 + 1403*s**2 - 1403*s**2 + 423 + 1341*s**3 with respect to s.
4023*s**2
Suppose -n + 4*q + 0 = 5, 3*q = 5*n - 9. What is the second derivative of 22*h - 55*h**3 + 0 + 10*h**n - 1 wrt h?
-270*h
Let r(d) be the third derivative of d**6/40 - d**3/6 - 4*d**2. Let b be r(1). Find the third derivative of 4*o**2 + 8*o**2 - 17*o**3 + 3*o**b + 6*o**2 wrt o.
-102
What is the second derivative of 984*v - 1380*v + 459*v + 1543*v + 1839*v**3 wrt v?
11034*v
What is the third derivative of 27887*i**2 - i + i - 383*i**4 + i**3 - 28309*i**2 wrt i?
-9192*i + 6
Let w(y) = 42*y - 16. Let k be (-22)/(-10) - (-1)/(-5). Let f be k/17 + (-133)/119. Let g(q) = 2*q + 1. Let l(m) = f*w(m) + 2*g(m). Differentiate l(i) wrt i.
-38
Find the third derivative of -92*b + 15436*b**6 - 16218*b**6 + 373*b - b**2 wrt b.
-93840*b**3
What is the derivative of -202 - 5943 + 3624*g**4 + 2065*g**4 wrt g?
22756*g**3
Let j(p) be the second derivative of 0 + 21*p - 93/2*p**2 + 0*p**3 - 6*p**5 + 0*p**4. Find the first derivative of j(q) wrt q.
-360*q**2
Let y(g) be the third derivative of 107*g**6/60 + 154*g**3 - 1599*g**2. What is the first derivative of y(w) wrt w?
642*w**2
Suppose -28 - 170 = -11*a. Suppose 12*m - a = 42. Find the second derivative of -47*s**m + 19 - 40 + 7*s + 21 wrt s.
-940*s**3
Suppose 0 = 3*s + 3*v - 24, -16*s = -15*s + 3*v - 20. Let q(n) be the first derivative of 27*n + 0*n**2 - 14/3*n**3 + s. Differentiate q(k) wrt k.
-28*k
Find the second derivative of 63*b - 1108 - 37*b + 10967*b**2 - 29*b + 1121 - 1915*b**2 wrt b.
18104
What is the second derivative of -33508*g**3 + 9*g**2 - 69*g**2 + 46*g**5 + 33508*g**3 - 706*g wrt g?
920*g**3 - 120
Let t(j) be the first derivative of -62*j**5/5 - 9*j**4/4 + 1595*j**3/3 + 2812. What is the third derivative of t(w) wrt w?
-1488*w - 54
Let o = 7 - 28. Let g = o + 32. What is the derivative of 7 + 21*q - 25*q - g*q wrt q?
-15
Suppose -4*o - 9 = -33. Let t be (-2)/o*(-30)/20*8. What is the third derivative of -7*b**2 + 6*b**4 - 24*b**2 - 17*b**t - 19*b**4 wrt b?
-720*b
Let o(a) be the second derivative of 5*a**7/42 + a**6/15 + 17*a**5/4 - a**4/4 - 25*a**3/2 + a**2 - 2359*a. Find the third derivative of o(m) wrt m.
300*m**2 + 48*m + 510
Let m(l) = -3*l + 38. Let w be m(12). Let u be ((-2979)/2)/(-9)*w. What is the derivative of -2*f + f - 353 + u wrt f?
-1
Let m(p) be the first derivative of 8/3*p**3 + 0*p**2 + 4*p - 24 + 9/5*p**5 + 0*p**4. What is the third derivative of m(q) wrt q?
216*q
Let o(c) be the second derivative of -181*c**5/5 + c**4/6 - 191*c**3/3 - 2*c**2 + 2*c - 83. What is the second derivative of o(l) wrt l?
-4344*l + 4
Let a(i) = 3*i + 5. Let x(f) = -2740*f + 3050. Let q(c) = 5*a(c) + x(c). What is the derivative of q(g) wrt g?
-2725
Let h(c) = 10*c**4 + 5*c**3 - 30*c**2 + 332*c - 6. Let b(d) = -d**3 + 6*d**2 - d + 1. Let w(z) = -5*b(z) - h(z). Find the second derivative of w(n) wrt n.
-120*n**2
Suppose 0 = -3*i + 10*i - 21. Find the second derivative of -1778 - l + 17*l**5 + 4*l**3 + 1715 - 4*l**i wrt l.
340*l**3
Let x be (-3)/(-12) + 358/8. Find the second derivative of -x*d - 58*d**2 + 16*d + 1 + 23*d wrt d.
-116
Let q(z) be the third derivative of 871*z**6/40 + z**5/60 - 269*z**4/24 - 1008*z**2. Find the third derivative of q(u) wrt u.
15678
Let k(i) be the third derivative of i**8/168 - i**7/35 + i**5/60 - 70*i**3/3 - 3*i**2 + 18. What is the third derivative of k(m) wrt m?
120*m**2 - 144*m
Find the third derivative of 154 + 0*c**2 - 27*c + 6707*c**5 + 2*c**2 + 64*c - 16*c - 17*c wrt c.
402420*c**2
Let z(x) be the second derivative of 628*x**7/21 + 92*x**3 + 2*x + 729. What is the second derivative of z(q) wrt q?
25120*q**3
Let n(g) be the second derivative of 82*g - 1 - 91/12*g**4 + 14/3*g**3 + 0*g**2. Find the second derivative of n(y) wrt y.
-182
Suppose 4*a - 125 = -3*d - 44, -3*d + a = -66. Find the third derivative of -10*i - 28*i**4 + 33*i - 313*i**2 - d*i wrt i.
-672*i
Let z(k) be the third derivative of 769*k**5/60 - k**4/24 - 2383*k**3/2 - 3*k**2 + 50*k - 9. What is the first derivative of z(a) wrt a?
1538*a - 1
Let r = -1869 - -1869. Let b(u) be the third derivative of 22*u**2 + 0*u + r*u**3 + 0 + 5/12*u**4 - 13/60*u**5. Find the second derivative of b(z) wrt z.
-26
What is the third derivative of 1385*x**4 - 454*x**2 + 153*x**2 - 490*x**2 - 38*x**2 wrt x?
33240*x
Differentiate -2689 + 23*j**3 + 267*j - 266*j + 1837*j**3 + 1043 - 2685 wrt j.
5580*j**2 + 1
Let z(a) be the second derivative of -61*a**4 + 4373*a**3/6 + 1641*a. Find the second derivative of z(j) wrt j.
-1464
Let d(k) = k**2 + 1. Suppose -19*x - 110 = 4. Let w(n) = 43*n**2. Let b(p) = x*d(p) - w(p). Find the first derivative of b(l) wrt l.
-98*l
Let s(d) be the third derivative of 63*d**6/5 + 341*d**5/60 - d**3/6 - 5*d**2 - 128*d. Find the third derivative of s(r) wrt r.
9072
Let y(m) = 5*m**3 - 4*m - 77. Suppose -108 = -22*p + 26*p. Let n(f) = 36*f**3 - 27*f - 540. Let o(u) = p*y(u) + 4*n(u). Differentiate o(w) with respect to w.
27*w**2
What is the derivative of 1442*b**2 - 160 - 62*b**2 + 33 - 122 - 1064 wrt b?
2760*b
Let d(l) = 2*l - 35. Let h be d(17). Let b be 24 + h + (-10 - -6). Find the third derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
13.
195385
Convert -8f8976 (base 16) to base 7.
-142646120
Convert 11ddb (base 16) to base 10.
73179
Convert -112020022221 (base 3) to base 9.
-466287
2233364 (base 7) to base 6
5535545
Convert 34510a (base 12) to base 10.
838234
Convert 7c5d65 (base 14) to base 2.
10000001011101011000101
What is -1503016 (base 7) in base 5?
-22441401
-41433335 (base 6) to base 3
-2021002001212
54406 (base 13) to base 8
451323
What is -1212112101121 (base 3) in base 10?
-994642
Convert 1358274 (base 10) to base 3.
2120000012110
Convert 1011340422 (base 5) to base 13.
571180
Convert 35b0c (base 14) to base 15.
28cc6
What is 13212002 (base 6) in base 9?
735632
What is -1395049 (base 11) in base 4?
-21020101213
-122122110211 (base 3) to base 5
-42103400
What is -332d8 (base 14) in base 6?
-2354210
What is -1110011010110111110110 (base 2) in base 6?
-213004222
What is -1750137 (base 8) in base 6?
-14550451
1100313020 (base 4) to base 7
2546423
What is -110104221 (base 6) in base 10?
-1968277
Convert 2c596 (base 14) to base 4.
123010120
What is -1068845 (base 10) in base 2?
-100000100111100101101
What is 6671b (base 14) in base 7?
2053034
What is 146e47 (base 16) in base 15?
1b6ad6
Convert 1a9b7b (base 16) to base 10.
1743739
What is 203977 (base 16) in base 14?
3cd8b5
Convert -eb9f (base 16) to base 9.
-101661
13324343 (base 5) to base 11
9338a
What is -3140231341 (base 5) in base 8?
-31041536
Convert 111111010011001110000 (base 2) to base 8.
7723160
What is 33c518 (base 14) in base 10?
1762650
What is 11101110101001000110 (base 2) in base 11?
608437
Convert 11010000010110011 (base 2) to base 16.
1a0b3
What is -1818137 (base 10) in base 3?
-10102101000102
Convert -523536 (base 11) to base 6.
-25553022
3c9e6 (base 15) to base 14
50cd2
Convert 262174 (base 12) to base 10.
625768
Convert 54452554 (base 6) to base 2.
110001100100111010110
Convert 77891 (base 11) to base 16.
1b8e8
What is 20516161 (base 7) in base 4?
12213233320
Convert -54b60 (base 12) to base 5.
-12042443
Convert -b92101 (base 13) to base 4.
-100210333230
What is -91b0 (base 16) in base 9?
-56140
-14626762 (base 8) to base 14
-6344a6
Convert -164168 (base 9) to base 6.
-2101442
What is 18350 (base 12) in base 9?
53066
What is -48ba4 (base 13) in base 7?
-1065061
-1012022212 (base 3) to base 14
-8835
What is 18bb59 (base 12) in base 16?
6a4b5
-16135 (base 7) to base 11
-3452
What is 736a3e (base 16) in base 2?
11100110110101000111110
-18922 (base 15) to base 11
-54959
111010110000100011001 (base 2) to base 7
22236262
Convert 4399b5 (base 16) to base 6.
234542245
49dcc (base 15) to base 13
83553
142a89 (base 11) to base 16
36960
-10352404 (base 6) to base 15
-61e34
What is 170499 (base 14) in base 4?
3011023213
What is -10333113 (base 4) in base 3?
-1001001000
What is -101010202002 (base 3) in base 8?
-605607
What is 181791 (base 15) in base 3?
2012102012101
What is 9469 (base 11) in base 2?
11000011111010
Convert 964b0 (base 16) to base 6.
21110000
Convert 77a38c (base 13) to base 7.
32661104
-14313134 (base 5) to base 12
-734b0
What is -1361783 (base 10) in base 6?
-45104315
Convert 518231 (base 13) to base 4.
13100212010
What is 1748151 (base 9) in base 14?
1b608b
4554736 (base 9) to base 8
11277362
48462a (base 13) to base 5
420122443
30022202 (base 4) to base 9
75312
What is -1c70a2 (base 13) in base 15?
-e625b
Convert 3340222 (base 5) to base 7.
333315
Convert -101001111110011000 (base 2) to base 12.
-835b4
b25a (base 15) to base 9
56584
-4a1b3d (base 15) to base 7
-42112600
-10011122011111 (base 3) to base 14
-31c3bb
-43212503 (base 7) to base 10
-3684068
What is 6a7c5 (base 16) in base 12?
1904b1
What is -10122000002 (base 5) in base 10?
-10343752
Convert -1101101010010101101100 (base 2) to base 16.
-36a56c
1001001010000001110 (base 2) to base 8
1112016
What is -1865293 (base 10) in base 14?
-367ab3
-10836950 (base 10) to base 5
-10233240300
-35020 (base 7) to base 13
-40b1
1aa070 (base 12) to base 13
137715
-121203303312 (base 4) to base 3
-110121102001110
Convert -2242130 (base 8) to base 14.
-11b480
What is -7979a7 (base 11) in base 5?
-311112044
What is 1302331200 (base 4) in base 15?
947c0
What is 2a6bb3 (base 12) in base 9?
1312620
-b35576 (base 12) to base 3
-12021200222000
What is -b2c70 (base 13) in base 11?
-1a9a31
What is 1790735 (base 13) in base 10?
7684136
303330231022 (base 4) to base 7
223515415
1204b2 (base 13) to base 16
68cb4
314467 (base 8) to base 4
121210313
Convert -655216 (base 14) to base 3.
-20110102101221
What is -95420 (base 10) in base 13?
-34580
What is -7778 (base 16) in base 13?
-10bc8
What is 22331023023 (base 4) in base 11?
169186a
What is 10b1344 (base 12) in base 16?
3113a4
-43ba73 (base 12) to base 14
-200c51
What is -597572b (base 12) in base 9?
-35534348
What is 1211020321 (base 5) in base 3?
12022202021212
Convert -2457452 (base 10) to base 15.
-338202
What is 213200423 (base 6) in base 12?
1330113
Convert -1011131113 (base 5) to base 12.
-82b629
-10011010122 (base 3) to base 11
-426a1
Convert -2716ce (base 15) to base 10.
-1878044
What is 38384 (base 9) in base 13?
b9b3
What is -102030404 (base 5) in base 8?
-1473656
1034013300 (base 5) to base 6
120125351
1302102 (base 6) to base 10
70454
46720 (base 15) to base 12
a9a03
-16c898c (base 13) to base 4
-130102223000
Convert 213112322 (base 4) to base 6.
3242202
Convert 144140030 (base 5) to base 12.
312401
8f979 (base 16) to base 7
4666506
What is 5663 (base 14) in base 11?
10291
What is 10210012022011 (base 3) in base 6?
111040351
-3411432343 (base 5) to base 15
-9db333
Convert 11100101100111111100010 (base 2) to base 6.
425134454
What is 54404114 (base 6) in base 9?
3035821
Convert -235257 (base 12) to base 14.
-10b455
Convert -2c462 (base 15) to base 7.
-1133105
Convert 715123 (base 8) to base 14.
62095
What is -116691 (base 10) in base 16?
-1c7d3
-356c4b (base 13) to base 8
-4664225
What is -100211212023 (base 4) in base 13?
-b93277
14243121 (base 8) to base 3
20002001201102
What is -1143045 (base 6) in base 12?
-2aa85
Convert 315456 (base 7) to base 10.
54774
Convert 111110110010101110 (base 2) to base 5.
31212243
Convert 278021 (base 10) to base 15.
5759b
What is 321451 (base 6) in base 12?
13287
Convert 100010010001101 (base 2) to base 8.
42215
Convert -1031313 (base 7) to base 2.
-11110100110101000
Convert -23332322 (base 4) to base 2.
-1011111110111010
What is 1110212202020 (base 3) in base 13?
21638a
Convert 1062014 (base 9) to base 8.
2135566
Convert -14522051 (base 6) to base 4.
-1330021033
What is -102131220 (base 4) in base 8?
-223550
Convert 89ce (base 16) to base 6.
431154
What is -2894616 (base 10) in base 7?
-33414054
What is -1201010112000 (base 3) in base 2?
-11011101101011001111
What is -61b8b3 (base 13) in base 16?
-22d200
110000011100111 (base 2) to base 10
24807
What is 69761 (base 14) in base 2?
111110101010001001
307743 (base 12) to base 13
2079c9
Convert 2a6021 (base 14) to base 6.
51350421
-413044044 (base 5) to base 6
-100122300
What is -14402302 (base 5) in base 14?
-3dccc
-122314413 (base 6) to base 10
-2358441
47299 (base 15) to base 8
672637
Convert ab4db (base 14) to base 8.
1453131
Convert -40415553 (base 6) to base 11.
-71865a
Convert 525433 (base 7) to base 8.
261224
10366604 (base 8) to base 12
8b28b0
-462622 (base 10) to base 13
-132754
Convert 500971 (base 10) to base 5.
112012341
Convert -100002112020 (base 3) to base 9.
-302466
Convert 100020202120011 (base 3) to base 16.
4b0358
-343131 (base 6) to base 4
-13020133
-806691 (base 12) to base 14
-3a183b
-23625240 (base 7) to base 15
-2b96b3
What is -10111100110000011110100 (base 2) in base 5?
-3040411304
Convert -91673 (base 10) to base 6.
-1544225
Convert -4420304 (base 5) to base 12.
-38209
What is -2220682 (base 9) in base 7?
-13103660
Convert -4154312 (base 6) to base 3.
-101020220022
What is a3c6e (base 16) in base 14?
136686
What is -303233013 (base 4) in base 14?
-57327
Convert 230a7a (base 11) to base 4.
1121223122
What is 101220211221 (base 3) in base 15?
43a4a
4c586c (base 14) to base 11
1535233
Convert 10b3a6 (base 15) to base 11.
4a5057
Convert 4425222 (base 6) to base 16.
3612e
85546 (base 13) to base 12
b7134
What is -101101001110010111 (base 2) in base 15?
-39d44
What is 6006658 (base 9) in base 5
|
{
"pile_set_name": "DM Mathematics"
}
|
-572262*l - 3
What is the t'th term of -385, -1801, -4207, -7639, -12133, -17725?
-6*t**3 - 459*t**2 + 3*t + 77
What is the o'th term of -421, -1585, -3429, -5875, -8845?
13*o**3 - 418*o**2 - o - 15
What is the c'th term of -14614, -29746, -45468, -61780, -78682?
-295*c**2 - 14247*c - 72
What is the b'th term of -2139, -18095, -61661, -146643, -286847, -496079, -788145, -1176851?
-2301*b**3 + b**2 + 148*b + 13
What is the u'th term of -877, -1140, -1565, -2140, -2853, -3692, -4645, -5700?
2*u**3 - 93*u**2 + 2*u - 788
What is the m'th term of 222054, 221832, 221598, 221346, 221070, 220764, 220422, 220038?
-m**3 - 215*m + 222270
What is the i'th term of 21373, 30634, 39895, 49156, 58417, 67678?
9261*i + 12112
What is the c'th term of -2828, -3020, -3234, -3482, -3776, -4128, -4550?
-2*c**3 + c**2 - 181*c - 2646
What is the l'th term of -2319, -2915, -3473, -3981, -4427, -4799, -5085, -5273?
2*l**3 + 7*l**2 - 631*l - 1697
What is the i'th term of -81252, -81238, -81236, -81264, -81340, -81482?
-3*i**3 + 12*i**2 - i - 81260
What is the d'th term of -1901, -3766, -5631?
-1865*d - 36
What is the i'th term of 48016, 95938, 143860, 191782?
47922*i + 94
What is the z'th term of -2619, -5400, -8239, -11136, -14091, -17104?
-29*z**2 - 2694*z + 104
What is the s'th term of 3313737, 3313733, 3313729, 3313725?
-4*s + 3313741
What is the h'th term of -12935, -25859, -38699, -51455, -64127, -76715, -89219?
42*h**2 - 13050*h + 73
What is the b'th term of -143125, -286021, -428917, -571813, -714709, -857605?
-142896*b - 229
What is the u'th term of 907, 534, -79, -932, -2025, -3358, -4931?
-120*u**2 - 13*u + 1040
What is the r'th term of -26542237, -26542241, -26542245, -26542249?
-4*r - 26542233
What is the t'th term of 4873, 31364, 75515, 137326, 216797, 313928?
8830*t**2 + t - 3958
What is the a'th term of -3148, -8244, -16740, -28636, -43932, -62628?
-1700*a**2 + 4*a - 1452
What is the m'th term of -14952, -28145, -41338, -54531, -67724, -80917?
-13193*m - 1759
What is the f'th term of 7705, 12858, 21447, 33472, 48933, 67830, 90163?
1718*f**2 - f + 5988
What is the h'th term of 3314769, 3314775, 3314781?
6*h + 3314763
What is the a'th term of 135022, 540124, 1215326, 2160652, 3376126, 4861772, 6617614?
4*a**3 + 135026*a**2 - 4*a - 4
What is the a'th term of -41559, -338211, -1143435, -2711517, -5296743, -9153399, -14535771, -21698145?
-42381*a**3 + 15*a + 807
What is the p'th term of 10994, 20992, 30990, 40988?
9998*p + 996
What is the w'th term of -22240, -16628, -7274, 5822, 22660, 43240?
1871*w**2 - w - 24110
What is the n'th term of 2652, 7801, 16382, 28395, 43840, 62717, 85026?
1716*n**2 + n + 935
What is the j'th term of 22387999, 44775988, 67163977, 89551966, 111939955, 134327944?
22387989*j + 10
What is the m'th term of 1582, 2541, 3498, 4453, 5406?
-m**2 + 962*m + 621
What is the v'th term of -146, -597, -1534, -3203, -5850, -9721, -15062?
-41*v**3 + 3*v**2 - 173*v + 65
What is the t'th term of -92652, -93473, -94294, -95115?
-821*t - 91831
What is the o'th term of -817869, -1635780, -2453691, -3271602, -4089513, -4907424?
-817911*o + 42
What is the y'th term of -700, -2593, -7760, -17839, -34468, -59285, -93928?
-273*y**3 + y**2 + 15*y - 443
What is the j'th term of -2025, -7929, -17759, -31515, -49197, -70805, -96339?
-1963*j**2 - 15*j - 47
What is the s'th term of 590298, 1180588, 1770868, 2361138, 2951398, 3541648, 4131888?
-5*s**2 + 590305*s - 2
What is the q'th term of 9343, 28138, 65847, 131926, 235831, 387018, 594943, 869062?
1576*q**3 + q**2 + 7760*q + 6
What is the y'th term of -5132, -20363, -45768, -81347, -127100?
-5087*y**2 + 30*y - 75
What is the b'th term of -3189, -3086, -2899, -2616, -2225, -1714, -1071, -284?
2*b**3 + 30*b**2 - b - 3220
What is the g'th term of 158987, 159502, 160017, 160532, 161047?
515*g + 158472
What is the r'th term of -258003, -1032006, -2322007, -4128006, -6450003, -9287998, -12641991?
-257999*r**2 - 6*r + 2
What is the b'th term of 4260, 8816, 13606, 18636, 23912, 29440, 35226?
b**3 + 111*b**2 + 4216*b - 68
What is the z'th term of 3510, 3518, 3618, 3876, 4358, 5130?
11*z**3 - 20*z**2 - 9*z + 3528
What is the k'th term of -27898842, -55797683, -83696524, -111595365, -139494206, -167393047?
-27898841*k - 1
What is the z'th term of -538262, -2153034, -4844320, -8612120, -13456434, -19377262?
-538257*z**2 - z - 4
What is the f'th term of -9665966, -19331924, -28997884, -38663846, -48329810?
-f**2 - 9665955*f - 10
What is the a'th term of -26825, -26337, -25531, -24413, -22989, -21265, -19247?
-a**3 + 165*a**2 - 26989
What is the j'th term of -485822, -485945, -486150, -486437?
-41*j**2 - 485781
What is the j'th term of 3272, 6845, 10714, 14873, 19316, 24037, 29030?
-j**3 + 154*j**2 + 3118*j + 1
What is the p'th term of 39671575, 39671576, 39671577?
p + 39671574
What is the v'th term of 9577, 76284, 257335, 609898, 1191141, 2058232, 3268339?
9528*v**3 + 4*v**2 - v + 46
What is the j'th term of -40228, -40180, -40132?
48*j - 40276
What is the c'th term of 5038, 39502, 133042, 315196, 615502, 1063498, 1688722, 2520712?
4923*c**3 + 3*c + 112
What is the l'th term of 2597, 20778, 70185, 166430, 325125, 561882, 892313?
2602*l**3 + l**2 - 36*l + 30
What is the f'th term of -725, -2436, -5289, -9284?
-571*f**2 + 2*f - 156
What is the i'th term of 1610, 1266, 312, -1558, -4650?
-51*i**3 + i**2 + 10*i + 1650
What is the v'th term of -6942, -6886, -6830, -6774?
56*v - 6998
What is the z'th term of 1919771291, 1919771292, 1919771293, 1919771294, 1919771295, 1919771296?
z + 1919771290
What is the g'th term of 4327057, 17308240, 38943551, 69232996, 108176581?
g**3 + 4327058*g**2 + 2*g - 4
What is the b'th term of -36905, -147465, -331737, -589721, -921417, -1326825?
-36856*b**2 + 8*b - 57
What is the w'th term of 6593, 8686, 10779?
2093*w + 4500
What is the t'th term of -306780, -307473, -308166?
-693*t - 306087
What is the o'th term of 449, 1374, 2271, 3128, 3933, 4674?
-2*o**3 - 2*o**2 + 945*o - 492
What is the w'th term of -783, -1966, -3833, -6726, -10987?
-57*w**3 - 784*w + 58
What is the w'th term of -17748, -18085, -18652, -19449, -20476, -21733?
-115*w**2 + 8*w - 17641
What is the g'th term of 7327514, 14655028, 21982542, 29310056, 36637570?
7327514*g
What is the l'th term of 48240, 51655, 57346, 65313, 75556, 88075?
1138*l**2 + l + 47101
What is the t'th term of 60059, 60042, 60003, 59942, 59859, 59754, 59627?
-11*t**2 + 16*t + 60054
What is the h'th term of 9212, 21515, 33806, 46079, 58328, 70547, 82730?
-h**3 + 12310*h - 3097
What is the a'th term of -2403515, -4807516, -7211517?
-2404001*a + 486
What is the u'th term of -1939719, -3879428, -5819137, -7758846, -9698555, -11638264?
-1939709*u - 10
What is the i'th term of 12738, 25672, 38810, 52152, 65698, 79448?
102*i**2 + 12628*i + 8
What is the g'th term of 3421716, 6843540, 10265364?
3421824*g - 108
What is the l'th term of -206818, -207123, -207636, -208357, -209286, -210423, -211768?
-104*l**2 + 7*l - 206721
What is the x'th term of -635, -1330, -1969, -2552, -3079?
28*x**2 - 779*x + 116
What is the k'th term of 312071, 312099, 312129, 312161?
k**2 + 25*k + 312045
What is the i'th term of 8961, 18089, 27301, 36597, 45977?
42*i**2 + 9002*i - 83
What is the c'th term of -21264, -42671, -64078, -85485, -106892?
-21407*c + 143
What is the t'th term of -63114, -251164, -564584, -1003380, -1567558?
-t**3 - 62679*t**2 - 6*t - 428
What is the h'th term of 199380, 198943, 198506, 198069?
-437*h + 199817
What is the v'th term of 532, 702, 466, -176?
-203*v**2 + 779*v - 44
What is the k'th term of -895115, -1790218, -2685317, -3580412, -4475503?
2*k**2 - 895109*k - 8
What is the o'th term of -475416, -950843, -1426280, -1901727?
-5*o**2 - 475412*o + 1
What is the a'th term of 5382, 50479, 172930, 411411, 804598, 1391167?
6446*a**3 + a**2 - 28*a - 1037
What is the y'th term of 52036810, 104073627, 156110448, 208147273, 260184102, 312220935?
2*y**2 + 52036811*y - 3
What is the z'th term of -15337, -15643, -16153, -16867, -17785?
-102*z**2 - 15235
What is the n'th term of -3995715, -3995712, -3995709, -3995706, -3995703, -3995700?
3*n - 3995718
What is the r'th term of -4249, -15470, -33675, -58870, -91061?
-r**3 - 3486*r**2 - 756*r - 6
What is the w'th term of -19
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when 2664 is divided by 669.
657
What is the remainder when 7973 is divided by 1930?
253
Calculate the remainder when 261055 is divided by 7.
4
What is the remainder when 68053 is divided by 188?
185
What is the remainder when 338 is divided by 170?
168
Calculate the remainder when 32168 is divided by 10708.
44
What is the remainder when 3748 is divided by 537?
526
What is the remainder when 2898167 is divided by 273?
272
What is the remainder when 19602 is divided by 3227?
240
Calculate the remainder when 279709 is divided by 83.
82
Calculate the remainder when 18334 is divided by 55.
19
Calculate the remainder when 23484 is divided by 587.
4
What is the remainder when 1247826 is divided by 2?
0
Calculate the remainder when 22967 is divided by 1403.
519
What is the remainder when 12888 is divided by 986?
70
What is the remainder when 50572 is divided by 22?
16
Calculate the remainder when 985473 is divided by 41.
38
Calculate the remainder when 21582 is divided by 37.
11
What is the remainder when 148086 is divided by 492?
486
What is the remainder when 167873 is divided by 41936?
129
What is the remainder when 52823 is divided by 186?
185
Calculate the remainder when 152929 is divided by 17.
14
What is the remainder when 4886 is divided by 488?
6
What is the remainder when 69829 is divided by 56?
53
Calculate the remainder when 18621 is divided by 3464.
1301
What is the remainder when 6586 is divided by 6585?
1
Calculate the remainder when 6103 is divided by 191.
182
What is the remainder when 486019 is divided by 48600?
19
What is the remainder when 288428 is divided by 58?
52
Calculate the remainder when 160 is divided by 144.
16
What is the remainder when 122396 is divided by 144?
140
Calculate the remainder when 32970 is divided by 8242.
2
Calculate the remainder when 8201 is divided by 1761.
1157
Calculate the remainder when 14270 is divided by 317.
5
Calculate the remainder when 12246 is divided by 4069.
39
What is the remainder when 39956 is divided by 180?
176
Calculate the remainder when 1239 is divided by 681.
558
What is the remainder when 24597 is divided by 111?
66
What is the remainder when 101149 is divided by 100?
49
Calculate the remainder when 195509 is divided by 127.
56
What is the remainder when 1921 is divided by 171?
40
What is the remainder when 650216 is divided by 1059?
1049
Calculate the remainder when 60794 is divided by 1561.
1476
Calculate the remainder when 30313 is divided by 2340.
2233
What is the remainder when 11586 is divided by 50?
36
What is the remainder when 492 is divided by 126?
114
Calculate the remainder when 931 is divided by 585.
346
Calculate the remainder when 16449 is divided by 16357.
92
Calculate the remainder when 8900 is divided by 4448.
4
Calculate the remainder when 2195 is divided by 2188.
7
What is the remainder when 3251 is divided by 432?
227
Calculate the remainder when 2004 is divided by 447.
216
Calculate the remainder when 19126 is divided by 9557.
12
Calculate the remainder when 16975 is divided by 2733.
577
What is the remainder when 3829 is divided by 107?
84
What is the remainder when 343847 is divided by 59?
54
What is the remainder when 26257 is divided by 398?
387
Calculate the remainder when 1102 is divided by 587.
515
Calculate the remainder when 11152 is divided by 409.
109
Calculate the remainder when 2944 is divided by 175.
144
Calculate the remainder when 1950 is divided by 271.
53
What is the remainder when 234846 is divided by 32?
30
What is the remainder when 53799 is divided by 50?
49
What is the remainder when 11907 is divided by 101?
90
Calculate the remainder when 6479 is divided by 781.
231
What is the remainder when 33628 is divided by 5603?
10
Calculate the remainder when 6788 is divided by 255.
158
Calculate the remainder when 178525 is divided by 31.
27
Calculate the remainder when 484481 is divided by 161.
32
Calculate the remainder when 747670 is divided by 62305.
10
Calculate the remainder when 22697 is divided by 2269.
7
What is the remainder when 183811 is divided by 46?
41
What is the remainder when 2256 is divided by 637?
345
What is the remainder when 1926 is divided by 1823?
103
Calculate the remainder when 81981 is divided by 179.
178
Calculate the remainder when 3442 is divided by 127.
13
Calculate the remainder when 100860 is divided by 37.
35
What is the remainder when 109805 is divided by 9977?
58
Calculate the remainder when 107147 is divided by 417.
395
What is the remainder when 771588 is divided by 589?
587
Calculate the remainder when 13685 is divided by 36.
5
What is the remainder when 484439 is divided by 88?
87
What is the remainder when 32489 is divided by 262?
1
Calculate the remainder when 800 is divided by 20.
0
Calculate the remainder when 20821 is divided by 17.
13
What is the remainder when 79001 is divided by 19734?
65
What is the remainder when 11493 is divided by 606?
585
Calculate the remainder when 22126 is divided by 1961.
555
What is the remainder when 117037 is divided by 117016?
21
What is the remainder when 56052 is divided by 364?
360
What is the remainder when 126609 is divided by 6?
3
What is the remainder when 12622 is divided by 549?
544
What is the remainder when 4148 is divided by 849?
752
Calculate the remainder when 11829 is divided by 24.
21
Calculate the remainder when 305757 is divided by 40.
37
What is the remainder when 1108 is divided by 269?
32
What is the remainder when 794557 is divided by 1528?
1525
What is the remainder when 12793 is divided by 457?
454
What is the remainder when 1499490 is divided by 458?
456
What is the remainder when 32621 is divided by 413?
407
Calculate the remainder when 1165 is divided by 39.
34
Calculate the remainder when 7729 is divided by 7643.
86
Calculate the remainder when 14107 is divided by 24.
19
Calculate the remainder when 104513 is divided by 711.
707
What is the remainder when 123977 is divided by 39?
35
Calculate the remainder when 7070 is divided by 7033.
37
What is the remainder when 32380 is divided by 32369?
11
What is the remainder when 2059635 is divided by 19?
16
What is the remainder when 2609 is divided by 865?
14
What is the remainder when 6152 is divided by 5804?
348
Calculate the remainder when 2192 is divided by 538.
40
What is the remainder when 52674 is divided by 52655?
19
What is the remainder when 21512 is divided by 213?
212
What is the remainder when 41703 is divided by 732?
711
Calculate the remainder when 3394 is divided by 953.
535
Calculate the remainder when 13092 is divided by 226.
210
Calculate the remainder when 2133 is divided by 24.
21
What is the remainder when 2803302 is divided by 22?
18
What is the remainder when 5530 is divided by 5431?
99
Calculate the remainder when 77402 is divided by 7.
3
What is the remainder when 3753 is divided by 1240?
33
What is the remainder when 121377 is divided by 14?
11
Calculate the remainder when 10744 is divided by 10742.
2
What is the remainder when 14488 is divided by 1612?
1592
Calculate the remainder when 287790 is divided by 19.
16
What is the remainder when 13389 is divided by 1478?
87
What is the remainder when 50095 is divided by 12520?
15
Calculate the remainder when 5277 is divided by 20.
17
What is the remainder when 56826 is divided by 11314?
256
Calculate the remainder when 53828 is divided by 7687.
19
What is the remainder when 6807 is divided by 221?
177
Calculate the remainder when 11511 is divided by 60.
51
What is the remainder when 2558 is divided by 1229?
100
What is the remainder when 9802 is divided by 515?
17
Calculate the remainder when 2807 is divided by 151.
89
Calculate the remainder when 1739249 is divided by 437.
426
Calculate the remainder when 13526 is divided by 40.
6
Calculate the remainder when 13489 is divided by 13489.
0
Calculate the remainder when 1168 is divided by 1.
0
Calculate the remainder when 126779 is divided by 2948.
15
Calculate the remainder when 238066 is divided by 153.
151
What is the remainder when 1016 is divided by 155?
86
Calculate the remainder when 26148 is divided by 79.
78
Calculate the remainder when 128001 is divided by 50.
1
What is the remainder when 151376 is divided by 50457?
5
Calculate the remainder when 1400784
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Let o(t) = 5*t**2 + 27*t - 45. Is o(-14) a composite number?
False
Suppose -5 = r - 2. Let z = r - -1. Let y = z + 13. Is y a prime number?
True
Is (-1 - 9/(-5))/(6/165) a prime number?
False
Suppose 0 = 2*w - 5*g - 90 + 12, -2*g = 0. Suppose -b = -w - 14. Is b a prime number?
True
Let y(k) = k + 6. Let t be y(-4). Suppose -2*w - 4*i = -t*i - 588, -3*i = 5*w - 1472. Is w a prime number?
False
Is 2/3 - 109/(-3) composite?
False
Let d = 386 + -231. Suppose 0*y + 5*y = d. Is y composite?
False
Suppose -364 = 3*x - 7*x. Let n = 6 + x. Is n composite?
False
Let q = -937 - -557. Let v = -219 - q. Is v a composite number?
True
Let u(i) = 6*i**2 + 0 - 25*i**2 + 1. Let a be u(-1). Is 17/3 - 6/a a prime number?
False
Suppose -11*v + 7*v = -4604. Is v a prime number?
True
Suppose 8*l = 5*l - d + 5383, -l + 1789 = 3*d. Is l a prime number?
False
Suppose -f - 2 = -12. Let c(l) = -2*l**2 - 2*l. Let g be c(-2). Let i = f + g. Is i composite?
True
Let z = -36 - -60. Is z/132 + (-361)/(-11) prime?
False
Let x = -17 - -10. Let p(j) = -j**3 - 8*j**2 - 9*j + 7. Is p(x) a prime number?
False
Let w = 3 - 0. Is w a prime number?
True
Let l = 12 - 7. Suppose d = -2*c + 62, -c + l*d = 2*c - 93. Is c prime?
True
Suppose -8*n + 1364 + 3716 = 0. Is n a prime number?
False
Let z = -78 + 277. Is z + (6/3 - 2) a composite number?
False
Is 288 - (4 - 0)/(-4) a prime number?
False
Suppose -5 = 3*d - 2*j + j, 0 = -d - 3*j + 15. Let n(t) be the second derivative of -t**4/12 + t**3/6 + 49*t**2/2 + 9*t. Is n(d) a composite number?
True
Suppose 0 = -2*x + 2 - 0. Is (x - (2 + 1)) + 108 composite?
True
Let j = -16 - -16. Suppose -p = 3, 2*g + 0*g + 2*p - 100 = j. Is g a composite number?
False
Suppose -4*m + m = -24. Suppose p - 13 = 5*u, 0 - 2 = u. Suppose o + m*a = 3*a + 99, p*o = -a + 241. Is o composite?
False
Suppose 0 = -5*z - 4*i - 5 - 2, -2*z - 5*i - 13 = 0. Let j(t) = 100*t. Let n be j(z). Suppose -2*g = 3*g - y - n, y - 71 = -4*g. Is g a prime number?
True
Let g(s) = 49*s + 1. Let h = 5 - 4. Let n = h - -5. Is g(n) a prime number?
False
Let p(o) = 2*o**2 - 4*o + 2. Let n be p(2). Suppose -145 = -2*w - 3*c + 220, -4*w + 742 = n*c. Is w a composite number?
True
Suppose g = -3*g + 20. Suppose -69 = -g*y + 56. Is y prime?
False
Is (-3 + -1 + -1331)*(-1)/3 prime?
False
Let q(i) = 290*i**2 - 7*i - 3. Is q(-2) prime?
True
Suppose -2*w + 546 = -50. Is w prime?
False
Let v = -7 + 9. Suppose h = -v*b + 74, -2*b = -5*h + 15 - 89. Is b a prime number?
True
Suppose -2*q = -3*u + 37, 3*q = 2*u + 3*u - 57. Let d = 5 - q. Is d prime?
True
Let k(t) = -t + 12. Let j be k(8). Suppose -2*s - 8 = -j*s. Suppose p - 15 = y, -49 = -3*p + y + s. Is p composite?
False
Let p be 8/(-16) + (-10)/4. Let c = p - -32. Let v = -10 + c. Is v a composite number?
False
Let o(c) = 1 - 5 + 18*c + 3. Is o(2) a prime number?
False
Is (11 - 14)*898/(-6) a prime number?
True
Let t = -195 - -310. Let r(x) = -x + 4. Let j be r(0). Suppose -w = j*w - t. Is w a composite number?
False
Let s(z) = -z**3 - 3*z**2 - 2*z + 2. Let m be s(-2). Suppose q - 4*n = -0*q + 51, m*q = -3*n + 124. Is q composite?
False
Let d(q) = 7*q**3 + 5*q**2 - 5*q + 4. Is d(3) a composite number?
False
Is (25008/(-64))/(3/(-8)) a composite number?
True
Let d = 117 + -83. Suppose -2*q + d = -36. Is q composite?
True
Suppose 402 = 8*o - 2*o. Is o a prime number?
True
Let r(x) = x**2 - x + 35. Let g = 4 - 1. Suppose -g*b + b = 0. Is r(b) prime?
False
Let y = 4949 - -2952. Is y a prime number?
True
Suppose 4*q - 4*t - 232 = 1304, -5*q + 1905 = -2*t. Is q prime?
True
Let n = -19 - -27. Let i be 36/n*(-4)/(-6). Suppose i*m - 7*m + 136 = 0. Is m a prime number?
False
Let a = 3 - -34. Is a prime?
True
Let k be (-6 - -2)/(1/(-1)). Suppose 0 = -2*d - 5*q + 6 + k, -5*q + 10 = -5*d. Suppose 0 = -3*z + 2*o + 65, d = -3*o - 0*o - 3. Is z a prime number?
False
Let w(k) = 19*k**2 + 3*k + 1. Let g be 7 + -8 + (-2)/2. Is w(g) prime?
True
Suppose 2*d - 265 = -m, -805 = -4*d - 5*m - 290. Suppose -d = -l + 42. Is l a prime number?
False
Let g be -1*(-2 - 0/3). Let k(s) = 3*s - g*s**2 + 3*s**2 + 2*s + 8. Is k(-7) a composite number?
True
Let v(h) = 119*h**3 + h - 1. Let b be v(1). Let x = b + -24. Is x composite?
True
Let j(b) = b**2 - 13*b + 7. Is j(15) composite?
False
Let y be ((-93)/5)/(5/(-25)). Suppose 0*z = -3*h - 3*z + 279, 0 = -h + 3*z + y. Is h prime?
False
Let v be 3/(-6) - (-14)/4. Suppose -4*n = v - 11. Is n + 28 + (3 - 2) composite?
False
Let q be 1 + -3 + 24/4. Suppose 0*y - q = -y. Is (5 - y)/(2/30) a composite number?
True
Is 71422/39 - (-2)/(-6) composite?
False
Suppose 2*l - 556 = -a - 4*a, -5*a + 565 = 5*l. Suppose -5 = -2*j + t + 1, j = -2*t + 8. Suppose -p + a = j*p. Is p a composite number?
True
Let j be ((-1)/(-1) - -47)*1. Suppose -4*d + j = -12. Is d a composite number?
True
Let d(n) = -n**3 - 9*n**2 - 6*n + 8. Let p be d(-9). Let q = p + 65. Is q a composite number?
False
Let f(k) = k**2 - k - 4. Let x be f(3). Suppose 0 = l - x + 1. Is (l - (-4 - 0))*7 a prime number?
False
Let q = 169 - -282. Is q prime?
False
Suppose i = -4*q + 1141, -4*i = -0*i + q - 4564. Is i a composite number?
True
Suppose -u - 4*i = -0*u - 15, 2*i = -4*u + 4. Is -1 + 0 - (u - 97) a prime number?
True
Suppose 3*r - 142 = -40. Suppose 0 = -4*p + 18 + r. Is p composite?
False
Let g(b) = -44*b + 10. Is g(-8) a composite number?
True
Let k(t) = 42*t**2 + t - 2. Is k(-3) a composite number?
False
Suppose -5*d = 5*r + 10, -3*r - 3*d = -5*d + 6. Let i be r/(-13) - (-2)/(-13). Let x(y) = -y**2 + 133. Is x(i) a prime number?
False
Suppose 0 = -2*f + 5*f - 9. Let k(w) = -w**3 - 5*w**2 - 7*w - 5. Let g be k(-4). Suppose f*m = -g + 100. Is m a composite number?
False
Let k(d) = 3 + 4*d + 8*d + 4*d. Suppose s + 15 = 4*s. Is k(s) prime?
True
Is 8/72*0 - (1 - 3738) composite?
True
Let z(g) = -2*g**3 - g**2 + 2*g - 1. Let h be z(1). Is (31 - 0) + 0/h prime?
True
Suppose 417 = 4*t - 1411. Is t a prime number?
True
Let m(g) = -g**3 - 4*g**2 - 3*g + 3. Suppose -2*b - 9 = b. Let u be m(b). Suppose -v + 5*d + 8 = 0, 6*v - 2*v - 83 = u*d. Is v a prime number?
True
Let j be (-4)/6*(-3 + -3). Suppose -5*g - 3*v + 48 = -2*g, -5*g + j*v = -107. Is g prime?
True
Suppose 3*r - 5*d - 161 - 68 = 0, -r = 5*d - 103. Is r a composite number?
False
Suppose 4*m = -2*j + 10, j + 4*j + 5*m = 20. Suppose 7*k - j*k = 236. Is k a prime number?
True
Let q = -10 - -10. Suppose q*h = h - 511. Is h composite?
True
Suppose -4*f + 12643 = -0*x + x, 3 = -3*x. Is f a composite number?
True
Let n = -385 - -202. Let z = -51 - n. Suppose 0 = 3*x + x - z. Is x prime?
False
Suppose 0 - 6 = -3*w. Suppose 5*g = w*v - 193, -2*g - 461 = -4*v - 7*g. Is v a composite number?
False
Suppose 5*x + 530 = 5*y, -4*y + 3*x + 144 = -285. Is y a prime number?
False
Suppose -3*i + 3*u = u - 1019, 1669 = 5*i + 4*u. Is i composite?
False
Is ((-142)/(-2))/((-3)/(-3)) composite?
False
Let q be (0/(-3) + 1)*1. Is (-2)/(q/((-31)/2)) prime?
True
Let a = -95 + 306. Suppose -4*b = -m + a, -39 = m - 5*b - 253. Is m prime?
True
Is 145 - (3*-4)/3 prime?
True
Suppose 0 = -b + 4*b - 3009. Is b prime?
False
Let s(b) = 25*b**2 + b - 5. Is s(-4) a composite number?
True
Suppose 5*u = 3*m - 1088 - 621, 4*u - 581 = -m. Is m composite?
True
Suppose -m = -0 - 2. Suppose h + m*h - 1194 = 0. Suppose h + 32 = 2*l. Is l a composite number?
True
Suppose -4*r - x + 3845 = -2*r, 5*x = 5*r - 9590. Is r a prime number?
False
Let o(c) = -c - 10. Let k be o(-12). Suppose 0 = 4*y + 2*d - 234, 2*d + 4 = k. Is y prime?
True
Let t = 6 + -6. Suppose -60 = -4*p + j, 48 = -t*p + 2*p - 5*j. Is p prime?
False
Suppose 6*y - 1032 = -252. Suppose 16 - 6 = 5*d. Suppose -d*c + 7*c - y = 0. Is c a composite number?
True
Let i(h) = -h + 6. Let j be i(7). Let x be (j - -3)/(2*1). Let q = x - -13. Is q composite?
True
Let n(m) = 5*m**3 - 2*m**2 + 3*m - 2. Let u be n(1). Suppose 0 = u*x - 633 - 219. Is x a composite number?
True
Suppose 4*d - 172 - 184 = 0. Is d composite?
False
Suppose 4*n - 2759 = 221. Is n composite?
True
Suppose -3899 = -5*f - 4*u, 1819 - 5710 = -5*f + 4*u. Is f prime?
False
Suppose 2*v - o - 2*o = 43, 4*v - 77 = 3*o. Let m = v + 6. Is m composite?
False
Let x(q) = q**2 - 2*q + 16. Let u be x(-7). Let t = 138 - u. Is t a prime number?
True
Suppose 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
e) -2 (f) 4/7
c
Which is the smallest value? (a) 1460 (b) 0.5 (c) 2/5 (d) 5 (e) 101 (f) 7
c
What is the biggest value in 0.1, 0.8, -3109830?
0.8
What is the second biggest value in -414, 109612, -4?
-4
Which is the biggest value? (a) 0.5 (b) -0.5 (c) 170 (d) -0.3 (e) -313.75
c
What is the sixth biggest value in 0.4, 3, 0.052, -4, 0.02, -2/3?
-4
Which is the second smallest value? (a) 2 (b) -6338.282 (c) 3
a
Which is the biggest value? (a) 1 (b) 0.8 (c) -5/6 (d) -2 (e) 1.8 (f) 19 (g) -0.3
f
What is the third biggest value in -44289, 30/23, -2/11?
-44289
What is the second smallest value in 0.2, 2/85, 0.0575787?
0.0575787
What is the sixth smallest value in 0.04, 0.2, -13, -5/8, -30/13, -3/8, 0.3?
0.2
What is the second biggest value in 2191, -2, -1028, 0.09, -0.3?
0.09
Which is the fourth biggest value? (a) -1/2 (b) 3 (c) 0.65 (d) -0.2 (e) 0.032 (f) -5 (g) -0.13
g
What is the fourth smallest value in -3, 2/5, 2.37, 3/2, -1, 4, -0.1?
2/5
Which is the third smallest value? (a) 4/19 (b) -0.5 (c) -4073 (d) 3 (e) 70 (f) 2/3 (g) 0.4
a
What is the biggest value in -16, -4381, 4, -966?
4
Which is the third biggest value? (a) 0.3 (b) 2/3 (c) -2.11 (d) 0.2 (e) -2/55 (f) 0 (g) 110
a
What is the fourth biggest value in 1, 0.1, 139189, 6?
0.1
What is the sixth biggest value in -9, 13/5, 0.4, 1105, 5, -3/4?
-9
What is the third biggest value in -2, 0.5, -6.851, -2/27, -43/5?
-2
What is the fourth smallest value in -435, -2/227, 4, -1?
4
What is the fifth biggest value in -0.3, 1/4, 859, 0, -9, 0.3, 97?
0
What is the seventh biggest value in -4, -19, -2/9, 879, 0.03, 2/3, -0.2?
-19
Which is the third smallest value? (a) 0.02 (b) -1/4 (c) -1 (d) -69
b
What is the fifth biggest value in -9.8, 30/13, 0.1, -4/51, -2, -1, -1.7?
-1.7
What is the third biggest value in -32163, -2, 23.59?
-32163
What is the fourth smallest value in -789, -1, -0.1, 0.2, -3, -2/5?
-2/5
What is the sixth biggest value in -0.1, -2/5, -6, 9.6, -0.11, 1/3?
-6
Which is the second biggest value? (a) -3/7 (b) 189.996 (c) 443 (d) -2/7
b
Which is the third smallest value? (a) 18 (b) -1 (c) 5 (d) 407464 (e) 1/2
c
What is the smallest value in -118, 1311, 8?
-118
Which is the third biggest value? (a) -0.03 (b) -3 (c) 0.1 (d) 343389 (e) -2/11
a
Which is the fourth biggest value? (a) 0.2 (b) -12 (c) -5 (d) -518.7 (e) 0.08
b
What is the sixth smallest value in 0.338, 31, 0.2, 1/3, -0.206, 4, 0.1?
4
What is the fourth biggest value in 11, -15, 1/3, 0.1, 1/6, -6218?
0.1
What is the smallest value in -5, 2, -1491058?
-1491058
What is the second biggest value in -7/87, 206, 103?
103
What is the third biggest value in 117/67, 2, -6, 3/5, -3/4, -2, 0.13?
3/5
Which is the third biggest value? (a) -1/7 (b) -5 (c) 0.0479444
b
What is the second smallest value in 0.2, 5, 0.031, -2, -0.1, -3.3?
-2
What is the fourth smallest value in 4, 27, -102130, 5?
27
What is the third smallest value in -0.08, 6, 3/50?
6
What is the fifth smallest value in -0.53, 2/7, 10, -5, -1/5, 0, -0.1?
0
What is the fifth smallest value in -5, -4, 2, 0.1606, -2/7, 0, -4/9?
0
What is the third smallest value in 12, -0.5, 2/3, -61, -2/7, -10?
-0.5
What is the second biggest value in 3/7, 3, -0.161718, -2/19?
3/7
Which is the smallest value? (a) -1/6228 (b) 932 (c) 2
a
What is the biggest value in -367, -63207, 0.1, -2, 1/9?
1/9
What is the second smallest value in -4, -251/27052, -1/5?
-1/5
What is the fourth smallest value in 3, -16, -69, 16, -4/7?
3
Which is the second biggest value? (a) -0.4 (b) 94 (c) 1/7 (d) -2 (e) -10 (f) 13
f
What is the fourth biggest value in -3, -0.01, 2/7, 200/13157?
-3
Which is the fifth biggest value? (a) 4 (b) 2013 (c) 5 (d) 0.04 (e) -1/4 (f) 3 (g) 25
f
Which is the biggest value? (a) -90 (b) -1/6 (c) -12 (d) 0 (e) 2 (f) 6
f
Which is the third smallest value? (a) -5 (b) -6 (c) -0.1 (d) -1/2 (e) 8.67
d
Which is the second biggest value? (a) -3 (b) 1382 (c) 4/163 (d) 1/5 (e) 0.4
e
Which is the sixth smallest value? (a) 28 (b) 63 (c) -3 (d) -1 (e) 5 (f) 0.3 (g) 1
a
Which is the biggest value? (a) -15/7 (b) -3323 (c) 3 (d) -0.5 (e) 7
e
What is the seventh smallest value in -198.4, 7, 0.05, -0.11, -2/5, -2, -4?
7
What is the smallest value in 4, 5, 24/269, 414?
24/269
Which is the second smallest value? (a) 1.4126 (b) -72 (c) 1/2 (d) 0.1
d
What is the seventh biggest value in -0.1, 2, 2/21, -1/7, 3, -4/45, -3/74?
-1/7
What is the third biggest value in 2, 41, -3, -2, -5, 364/17?
2
Which is the biggest value? (a) -1155 (b) -2 (c) -3 (d) 8 (e) -1/5 (f) -2/27
d
What is the fourth smallest value in -0.1, 2/35, -1/756, 0, -4, 4?
0
Which is the second biggest value? (a) 3 (b) -2/21 (c) -2 (d) 2 (e) 305527/3
a
Which is the biggest value? (a) 1.3 (b) -45 (c) -0.2 (d) -2/9 (e) -27 (f) 1
a
Which is the fourth biggest value? (a) 0.15 (b) -0.1 (c) 0.5 (d) 0.1 (e) 3 (f) 2 (g) -1.4
a
Which is the third smallest value? (a) -254 (b) 13.04 (c) 8
b
Which is the fifth biggest value? (a) -146 (b) -3 (c) 1 (d) -32 (e) -1/4 (f) -2.862
d
Which is the smallest value? (a) -8541 (b) -455 (c) -1/4
a
What is the fifth biggest value in -4, 0.2, 0, 2, 9496, -321?
-4
What is the smallest value in -668/5, 19/14, -25?
-668/5
What is the smallest value in -3, -7, -24/13, -6/5, 0.2, -1/6, -2?
-7
Which is the smallest value? (a) -0.3 (b) 3 (c) -1/7 (d) -13201
d
What is the fifth smallest value in -7, -2, 0.5, -1, 1/9, -5065?
1/9
What is the seventh biggest value in -1565, -18, 1/2, -3, 14/5, -2, 0.3?
-1565
Which is the sixth biggest value? (a) 49 (b) 1/7 (c) -3 (d) 0.4 (e) -4 (f) -4/35
e
Which is the fourth biggest value? (a) -2 (b) 3 (c) -2/3 (d) -1.9 (e) -1.7 (f) 0.0053
e
Which is the smallest value? (a) 15 (b) -13875 (c) -2/9
b
What is the fourth biggest value in 1/4, 2/31, -51, 5, 1082.2?
2/31
Which is the third smallest value? (a) -0.5 (b) 2/5 (c) -8 (d) -619.71
a
Which is the fifth biggest value? (a) -0.4 (b) 1/6 (c) 4 (d) -2/15 (e) 0.3 (f) -7
a
Which is the biggest value? (a) -2 (b) 16 (c) 5 (d) -6.8 (e) -0.08 (f) 1/3 (g) 1
b
What is the third biggest value in 151399, -9, 0.3, -1/3?
-1/3
Which is the third biggest value? (a) -0.3 (b) 207.4 (c) -9
c
What is the fifth smallest value in -26/5, -11/5, -2/5, 5, 1?
5
What is the fourth smallest value in 33/2, -1448, -3, 86?
86
Which is the biggest value? (a) 0.1 (b) 4 (c) -1/4 (d) 106/87 (e) -3.2
b
What is the biggest value in 7278, 1, 2/5, -51, 3?
7278
Which is the fifth smallest value? (a) -336 (b) 32 (c) -0.03 (d) -0.2 (e) -8.6
b
Which is the second smallest value? (a) 114 (b) 12 (c) -14.6
b
What is the third biggest value in -0.1266, 0.8, 23, 5/4?
0.8
What is the second smallest value in -140183, 2/5, -4, 63?
-4
What is the biggest value in 82, -2/9, 12.857?
82
What is the second smallest value in -0.3, -0.66, -1, -1/5, -3/5, 216?
-0.66
What is the second smallest value in -3, -1.7, 2/15, 19, -0.2, -103?
-3
What is the third biggest value in 3/7, -6/7, -3/4, 60.1, -1, 4, 5?
4
What is the fifth biggest value in -0.09, -2, 4, -292, 151?
-292
Which is the third biggest value? (a) -61.5 (b) -5985 (c) -1/3
b
Which is the sixth biggest value? (a) 0.4 (b) -175 (c) 3/4 (d) 7 (e) 0.04 (f) -9
b
What is the second smallest value in 6673, -20, -4, -6, 2?
-6
What is the third biggest value in 81, 86594, 1/5, 0.01?
1/5
What is the biggest value in 0.28, -5, -2179, 1/8?
0.28
Which is the third biggest value? (a) 13.973 (b) 2 (c) -0.3
c
Which is the second biggest value? (a) 3 (b) 2/49 (c) 829 (d) -2/3 (e) 5/6 (f) 0
a
Which is the third biggest value? (a) 195 (b) 2.6 (c) 78.1
b
What is the fourth smallest value in 25, 41, -2980, -3?
41
What is the second smallest value in -1387/45, 794, -1/3?
-1/3
What is the biggest value in 7.463808, -5, 2?
7.463808
What is the sixth smallest value in -1/2, -2, 0.5, -2/3, 2/5, 6/11, -575070?
0.5
What is the second biggest value in -0.23, -0.2, 0.04, 2, 663, 10?
10
Which is the third smallest value? (a) 3/2588233 (b) -5 (c) 14.1
c
Which is the fifth smallest value? (a) 5 (b) -1 (c) -2/13 (d) 2/3 (e) 1/2 (f) 74 (g) 2/7
d
What is the four
|
{
"pile_set_name": "DM Mathematics"
}
|
4*v**3 - 6*v**3 + 5*v**3 + 1 + (39*v**2 + 421*v - 421*v)*(3*v + 3*v - 3*v).
120*v**3 + 5*v + 1
Expand -2*m**4 - m**4 + 4*m**4 + (-33*m**3 + 4*m**4 + 33*m**3)*(4 - 3 - 3) - 4*m**4 + 4*m**4 - 3*m**4 + 3*m**4 - 4*m**4 + 3*m**4.
-8*m**4
Expand (2517*n - 4875*n + 1250*n + (-6*n + 5*n - n)*(-5 + 3 + 0) + 3*n - n - n)*(-5*n**2 - 2*n**2 + 5*n**2).
2206*n**3
Expand (5*a**3 - 7*a**3 - 4*a**3)*(-112 + 109 + 8*a**2 - 50*a**2).
252*a**5 + 18*a**3
Expand (3*j**2 - 3*j**2 - 9*j**2)*(-3 + 48 + 4)*(8 + 16 - 17).
-3087*j**2
Expand (5*n**2 - 20*n**2 - 3*n**2)*(-2*n**3 + 2*n**2 - 2*n**2 + 3*n**3 - 3*n**3 + n**3 + (-2*n**3 + 26*n**3 + 0*n**3)*(-4 + 5 + 1) - 4*n**3 + 5 - 5).
-774*n**5
Expand (-3*n + 5*n - 4*n)*(-3*n**2 + 2*n**2 + 2*n**2) + 16662*n**3 + 16779*n**3 + 2*n**2 - 33358*n**3 + 7.
81*n**3 + 2*n**2 + 7
Expand ((5 - 1 - 2)*(-13*x - 42 + 42) + 2*x + 0*x + 0*x)*(-4*x + 19*x + 3*x).
-432*x**2
Expand ((-2*s - 2*s + s)*(1 + 0 - 7) + 2 - 2 + 3*s - 6*s + 0*s + s)*(2*s + 6*s - 6*s).
32*s**2
Expand -5*s**5 + 2*s**5 + 2*s**5 + (0*s**2 + s**2 - 10*s**2)*(-1 + 0 - 2)*(-5*s + 2*s**3 + 5*s).
53*s**5
Expand 3*l**2 - 2*l**2 + 0*l**2 + (17*l - 12*l + 35*l)*(17*l - 5*l + 25*l).
1481*l**2
Expand (1 + 0 + 2)*(5711*d**5 + 23178*d**4 - 23178*d**4).
17133*d**5
Expand (-3 - 2 + 7)*(7 + 6*g - 7)*(-30*g**3 + 4 - 4).
-360*g**4
Expand (-t**3 - t + t)*(-4 + t + 4) + (-13 - 5*t**4 + 13)*(-432 - 194 - 666).
6459*t**4
Expand (7*l**2 - 11*l**2 + 31*l**2)*(18*l**2 - 448*l**3 + 446*l**3 + 3*l**2).
-54*l**5 + 567*l**4
Expand (-3*d - 71*d + 12*d)*(68 - 31 + 20 + 44).
-6262*d
Expand (-2 + 2 + 4*a**2)*(-14*a - 50*a - 4*a - 8*a + 27 + 8*a).
-272*a**3 + 108*a**2
Expand (2 - 2 - 1)*(-38*g + 81*g - 856 - 41*g)*(0*g + g - 2*g).
2*g**2 - 856*g
Expand (-24*t + 51*t - 25*t - t - 5*t + 5*t + (t + t + 0*t)*(3 - 1 + 0))*(2*t + 0*t + 0*t) - 3*t + 3*t + 2*t**2 + 6.
12*t**2 + 6
Expand (-5*c**3 + c**3 + 2*c**3)*(-c + 4*c - c) + 165*c + 1017*c**4 - 165*c - 5967*c**4.
-4954*c**4
Expand (-3*v + 2*v**2 + 3*v)*(2 + 2*v + v - 4*v)*(-13 + 3*v - v + 17) - 5*v**4 + 11 - 15 + 3.
-9*v**4 + 16*v**2 - 1
Expand (-2*k + 3*k + k)*(-2 + 2 + 3)*(20 - 42 + 13)*(3 - 5 + 53*k - 147*k).
5076*k**2 + 108*k
Expand (-6 + 4 - 1)*(-10 + 64 - 27)*(-2*y - 2*y + 6*y) + 2*y - 5*y + 4*y.
-161*y
Expand (2*p - 6*p + 0*p - p - p - 2*p + (-3 + 7 - 3)*(-p + 6*p - 2*p))*(3*p**2 - 3*p**2 + p**2 + (2*p**2 + 0*p**2 - 4*p**2)*(-1 + 1 - 1)).
-15*p**3
Expand (-1097 - 4897 - 4039 + 377)*(1 - 3 + 2*v**2 - v**2).
-9656*v**2 + 19312
Expand 4*g + 2 + 158*g - 43*g - 3 - g + 3 + (-2 + 3 - 2)*(5*g - 4*g + 0*g) - 4 + 4 - 2*g + (4 - 4 + 2*g)*(-4 + 3 + 0).
113*g + 2
Expand (6*o + 1 - 1)*(-83 - 14*o + 83) + (-2*o - 4 + 4)*(25*o + 81*o + o).
-298*o**2
Expand (2*j**2 + 5*j - 5*j)*(20 - 36 - 41)*(-j - 37*j - 17*j)*(1 + 0 + 1)*(0 - 3 + 4).
12540*j**3
Expand (-114 + 231 - 1052*s + 88*s - 116)*(-5*s**3 + 3*s**3 - 2*s**3).
3856*s**4 - 4*s**3
Expand -2*w**4 + w - w + ((3*w + 3*w - 4*w)*(3 - 1 - 3) - 3 + w + 3 + 267 - 12*w - 267 - 2*w - 1 + 1)*(-1 + 3*w + 1)*(2*w - 4 + 4)*(-2 - 2*w + 2).
178*w**4
Expand (-2 + 3 + 0)*(4 - 3 + 1)*(6*l - 6*l - 48*l)*(4 + 5 + 8).
-1632*l
Expand (-2 - 2*x - 5 + 2)*(92 + 92 + 185 + 199).
-1136*x - 2840
Expand 2*z**5 + 5*z - 5*z + (-62*z - 117*z + 128*z)*(0*z**4 + 0*z**4 + 2*z**4) - z**3 + 2*z**5 + z**3.
-98*z**5
Expand (-121*b + 819 - 819)*(3*b**4 - 6*b**4 + b**4 + 8*b**2).
242*b**5 - 968*b**3
Expand (187 - 187 + 33*o**2)*(4*o + 2*o - 10*o - 7*o**3).
-231*o**5 - 132*o**3
Expand (-2 - 1 + 2)*(s - 3*s + 0*s) + 53*s - 48*s + 79*s + (-6*s + 2*s + 2*s)*((4 - 2 + 0)*(3 - 3 + 2) - 3 + 3 + 2).
74*s
Expand (-2*c**4 - 2*c**4 + 2*c**4)*(-2*c + 3 - 3) - 48*c**2 - 11*c**5 + 48*c**2 - 910*c + 910*c + 13*c**5 - 4*c**5 - 2*c**5 + 2*c**5.
2*c**5
Expand ((3*h + 0*h - 2*h)*(37 - 60 - 19) - h + h + h + (1 + 0 + 0)*(-3 + 2*h + 3) + 10*h + 2*h + 7*h)*(1 - 3 + 0).
40*h
Expand (4*a**2 + 21 - 3*a**2 - 31)*((0*a - 2*a + 0*a)*(5 - 1 + 0)*(-2 + 2 + 4) - 2*a + 0 + 0) + 12*a**3 - 26*a**3 + 25*a**3.
-23*a**3 + 340*a
Expand (2634*n - 1307 - 5274*n + 2639*n)*(0*n - 5*n + n).
4*n**2 + 5228*n
Expand ((-u**4 - u**4 + 5*u**4)*(0 - 12 + 0) - 2*u**4 + 4*u**3 - 4*u**3)*(-2*u - 2*u - 7*u).
418*u**5
Expand -613*n**3 + 323*n**3 + 3 - 3 + (-9 + n**2 + 9)*(n - 4 + 4).
-289*n**3
Expand (-1 - 13 + 2)*(3*m - 4*m + 2*m)*(-3 + 2 + 0)*(-826*m**3 + 63*m**3 + 277*m**3).
-5832*m**4
Expand (j**2 - 1 + 1)*(6166 + 2605 + 4732).
13503*j**2
Expand ((1 + 3 - 2)*(c - c + c) - 4*c + 2*c - 2*c)*(-35 - 76 - 11).
244*c
Expand (-3 - 1 + 3)*(177*k**2 - 703*k**2 - 10*k + 227*k**2).
299*k**2 + 10*k
Expand -2*c**2 + 3*c**2 + c**2 + 3*c**2 + c**2 - 3*c**2 + (-c + c - 2*c)*(4*c - 2*c + 0*c) + (18 + c - 12 - 13)*(3*c - 287 + 22*c + 290).
24*c**2 - 172*c - 21
Expand (-2 - 1 + 1)*(1 - 1 + 9623*c + 3933*c + 2396*c).
-31904*c
Expand (3*z**2 - 3*z**2 + z**3)*(-427*z + 3212*z - 1736*z)*(-2 + 1 + 5).
4196*z**4
Expand (203*b - 426*b + 5*b**2 - 3*b**4 + 221*b)*(-43 - 57 + 80).
60*b**4 - 100*b**2 + 40*b
Expand (-f**2 + 0*f + 0*f)*(68003*f - 33932*f + 97*f**2 - 33920*f).
-97*f**4 - 151*f**3
Expand -1205*x + 11225*x + 2070*x + 3404*x + 3157*x + 6039*x - x + 4*x - 4*x - 3*x + 2*x + 2*x + (1 - 1 + 1)*(-x + 6*x - 4*x).
24691*x
Expand (7 + 5*k - 7)*(2845*k + 2894*k - 5689*k).
250*k**2
Expand (-4 - 3*q**4 + 4 + (1 - 1 + 2*q**3)*(0*q - 5*q + 4*q) + q**4 + q**4 + q**4)*(-58 + 23 - 3)*(4 - 1 - 1).
152*q**4
Expand (3*g + 20 - 23 - 2*g)*(3*g**4 + 1 - 1) + 2 - 2*g**3 - 5*g**5 - 2 + g**5 + g**5 - 4*g**5.
-4*g**5 - 9*g**4 - 2*g**3
Expand (0 - 7 + 1)*(-4*q + 7*q + 2*q) + 5*q - 2*q - 5*q + (3*q - 6*q + 2*q)*(-2 - 4 + 1) + 2*q - q + q.
-25*q
Expand (o**2 - 2*o**2 + 0*o**2)*(-2 - 1 + 5) + (-o + 3*o + 5*o)*(-37*o + 40*o - 27*o) + (4 + 1 - 3)*(-2*o**2 + 0*o + 0*o).
-174*o**2
Expand (6 - 6 - 3*k)*(0 + 3 + 37)*(5*k**2 - k**2 - 3*k**2) - k**3 + 0*k**3 + 2*k**3.
-119*k**3
Expand (5*o**2 - 3*o**2 - 4*o**2)*(6 + 20 + 28) + o**2 - o**2 - o**2 + (-5*o + o + 2*o)*(o - 2*o + 2*o)*(-36 - 15 + 5).
-17*o**2
Expand 116*v + 16*v + 35*v + (3 - 3 + 3)*(0 + 3*v + 0) + (-1 + v + 1)*(0 + 3 - 4).
175*v
Expand (615*k + 533*k - 1337*k + 20)*(k**2 + k - k)*(3*k - 5*k + 3*k).
-189*k**4 + 20*k**3
Expand (36 + 25 - 50)*(1 + 2 + 20)*(-n - 4*n + 3*n) + (-2*n + 0*n + 4*n)*(2 + 0 + 1).
-500*n
Expand -130*o + 130*o - 40*o**3 + (2*o + 3*o - 3*o)*(2*o**2 - 18*o**2 + 6*o**2) + (-2*o**2 - 5*o**2 + 5*o**2)*(o + 0*o + 0*o).
-62*o**3
Expand (3*g - 3*g - 2*g)*(-1 + 3 - 3)*(-415*g**2 - 510*g**2 + 596*g**2)*(0*g + 0*g + 3*g).
-1974*g**4
Expand (-3*y + 3*y - y)*(-y**4 + y**4 + 2*y**4) - 4*y**2 + 4*y**2 - y**5 - 4 + y**5 + 4 + (88*y - 212*y - 2 + 104*y)*(-5*y**3 - 11*y**4 + 5*y**3).
218*y**5 + 22*y**4
Expand (o + 0*o - 3*o)*((-178*o - 48*o + 44*o)*(o**3 - 2*o**2 + 2*o**2) + (-2*o**3 + 0*o**3 + 3*o**3)*(5 - 4 + 2*o + 3)).
360*o**5 - 8*o**4
Expand -4*b**3 + 6*b**3 - 4*b**3 + 3*b**3 - 8 + 8 + (2*b**2 + 2*b**2 - 5*b**2)*(4*b + 3*b - 5*b) - 4*b**3 - 4*b**3 - 2*b**3.
-11*b**3
Expand -2 + 2 - 3*s + (4 + 0 - 2)*(2*s - s - 2*s) - 13 + 251*s + 287*s + 13.
533*s
Expand (73798 - 147597 + 91*u + 73807)*(u**3 + 2*u**3 + 2*u**3).
455*u**4 + 40*u**3
Expand ((4 - 5 + 2)*(-1 + 2 + 0) + 2 + 1 - 2 + (1 + 3 - 5)*(-2 + 0 + 0) + 0 + 2 - 1 + 0 - 4 + 2)*(-34*t - 87 + 87).
-102*t
Expand (-2379 + 33*q + 2379)*(-4*q**3 - 2*q**3 + q**3)*(-4 + 2 - 3).
825*q**4
Expand (2 + 2*s**3 - 2)*((-s + 0*s - s)*(1 - 5 + 3) - 2*s + 0*s - 2*s) + 296 - 81*s**4 - 296.
-85*s**4
Expand (-19*n + 19*n - 2*n**3)*((2*n + 0 + 0)*(-3 - 2 + 3) - 3 + 3 + n + (0*n - 5*n + 3*n)*(4 - 1 - 8)) + n**4 - 3*n**4 + 0*n**4.
-16*n**4
Expand -97*l**4 + 4*l**2 + 50*l**4 + 51*l**4 + (l - l - 6*l)*(-2*l**3 - 3*l**3 + l**3) + l**3 + 3*l**4 - l**3.
31*l**4 + 4*l**2
Expand 4411*t + 4344*t - 8038*t + (1 + 2 + 1)*(-2*t + 2 - 2).
709*t
Expand (10*b - 3*b + 3*b)*(3*b + b - 2*b + 0 - 2*b + 0 + (-4 + 3 + 2)*(-2*b + 3*b + 0*b) + (1935 - 1935 - 31*b)*(3 + 1 - 2)).
-610*b**2
Expand -27 + 2*s**4 + 9 + 6 + 6*s**4 - 2*s**4 + 0*s**4 + s**4 + s - s + (s**2 + 2*s**3 - s**2)*(-4*s + 2*s + 4*s) + 2*s**4 + s**4 - s**4 + 3*s**4 + s**4 + s**4.
18*s**4 - 12
Expand (2 + 2 - 1)*(0*l + 3*l + 2*l) - 26*l - l + 2*l + 4*l + 7*l - 7*l + (0*l + 2*l - 3*l)*(2 - 2 - 1).
-5*l
Expand (-15*l + 47*l - 25*l)*(18*l**2 - 2 - 14*l**2 - 41*l**2).
-259*l**3 - 14*l
Expand ((-3 + 4 - 49)*(3 - 5 - 2) - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
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