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+ 3*y(l). Give f(x(b)).
-6252*b
Let o(b) = 14*b**2. Let h = 57 - 81. Let i be h/(-20)*(1 + 8/2). Let x(u) = 124*u - 126*u + i - 6. Calculate o(x(n)).
56*n**2
Let w(q) = -48*q**2. Let g(i) = 4*i**2 + 6005*i - 1. What is g(w(k))?
9216*k**4 - 288240*k**2 - 1
Let n(g) = 20*g**2. Let i(f) = 2*f - 3948960. Determine i(n(z)).
40*z**2 - 3948960
Let i(m) = -4 + 4 - m - 4*m. Let l(h) = 61*h - 4. Let r(s) = -10011*s + 658. Let v(g) = -329*l(g) - 2*r(g). Determine v(i(a)).
235*a
Let u(f) be the third derivative of -f**4/8 + 8783*f**2. Suppose 5 = h - 1. Let l(d) = 9*d**2 - d**2 + 2*d**2 + h*d**2. Calculate l(u(r)).
144*r**2
Let n(l) = -327*l. Let y(r) = -19 + 40 + 53673*r**2 - 53635*r**2 - 21. Calculate y(n(s)).
4063302*s**2
Let n(h) = -11*h**2 + 12*h - 48. Let p(w) = 14*w**2 - 15*w + 49. Let o(b) = -5*n(b) - 4*p(b). Let x(m) = 65*m. Determine o(x(q)).
-4225*q**2 + 44
Let h(f) = -3*f**2. Let c(z) = z**3 + 7*z**2 + 6*z + 14. Let g be c(-6). Let b(l) = 11*l - 21. Let x(n) = 3. Let q(y) = g*x(y) + 2*b(y). What is q(h(s))?
-66*s**2
Suppose 4*r - 2*b = 400 - 72, -2*r + 162 = -2*b. Let u = 122 - r. Let i(a) = -3*a - u + 39 - 3*a. Let n(v) = 2*v**2. Determine i(n(y)).
-12*y**2
Let o(q) = -8*q. Let c(d) = d**2 + 4504*d + 1. Calculate o(c(k)).
-8*k**2 - 36032*k - 8
Let o(h) = 2*h - 270. Let j(x) = 2*x**2 + 245. Calculate j(o(a)).
8*a**2 - 2160*a + 146045
Let g(a) = -7*a**3 - 4*a**2 - 3*a - 1. Let i be g(-2). Let o(f) = -i*f + 24*f + 23*f. Let z(s) = -178*s**2. What is z(o(q))?
-712*q**2
Let a(d) = 3*d**2 + 2070337*d + 12. Let n(x) = -x. Calculate n(a(z)).
-3*z**2 - 2070337*z - 12
Let p(s) be the second derivative of s**7/168 + 5*s**4 + 20*s - 3. Let w(l) be the third derivative of p(l). Let a(u) = -4*u**2. Calculate a(w(i)).
-900*i**4
Let d(s) = -10*s**2. Let t(q) be the first derivative of -1/2*q**2 - 84 + 0*q. Give d(t(a)).
-10*a**2
Let m(y) be the first derivative of -8*y**3/3 - 2. Let k(s) = 4*s**2 - 6*s + 3. Let x(g) = 4*g - 2. Let a(o) = -4*k(o) - 6*x(o). Calculate m(a(c)).
-2048*c**4
Let w(t) be the second derivative of t**4/2 - 359*t**3/6 + t**2 + 68*t + 24. Let q(d) = -d. Calculate q(w(r)).
-6*r**2 + 359*r - 2
Let r(q) = -4088967*q. Let a(l) = -7*l. Give a(r(y)).
28622769*y
Let a(l) = -159368*l. Let i(m) = 15*m**2 + 4. What is a(i(r))?
-2390520*r**2 - 637472
Let a = -67 - -71. Let p(r) = r**2 + r**2 + 0*r**2 - a*r**2. Let w(t) = -t. Let g(o) = 5*o. Let b(u) = g(u) - 2*w(u). Determine b(p(y)).
-14*y**2
Let y(b) = -968 + 968 + 34*b - 1808*b - 307*b. Let x(v) = 2*v. Calculate y(x(f)).
-4162*f
Let o(x) = -x. Let v(z) = -z**2 - 24. Let l(q) = 2*q - 1993 - 2*q + q**2 + 2022. Let d(j) = -6*l(j) - 5*v(j). Give o(d(c)).
c**2 + 54
Let g be 5 + (-2)/4*4. Suppose 0 = 9*j - 27. Let c(q) = -10*q + g*q - 27*q + j*q. Let x(o) = 2*o. What is c(x(k))?
-62*k
Let d(z) = -2*z. Let l(m) = 2*m**2 + 10*m - 5. Let j = 312 - 311. Let v(g) = -g**2 - 2*g + 1. Let s(t) = j*l(t) + 5*v(t). Give d(s(b)).
6*b**2
Let w(z) be the second derivative of 0*z**2 + 17/6*z**3 + 0 - z. Let l(o) = -132*o - 128*o + 393*o - 135*o. What is l(w(t))?
-34*t
Let w(p) = p**2. Let i(u) = -228*u + 3. Let s(n) = -25*n - 1. Let b(r) = i(r) - 2*s(r). What is w(b(g))?
31684*g**2 - 1780*g + 25
Let d(f) = -14*f**2 + 5*f + 14. Let t(u) = 9*u**2 - 3*u - 8. Let c(n) = -4*d(n) - 7*t(n). Let a(m) = 42*m**2. Calculate c(a(i)).
-12348*i**4 + 42*i**2
Let f(x) = -6*x**2 + 180*x. Let d(p) = 20*p**2 - 630*p. Let i(l) = 2*d(l) + 7*f(l). Let g(s) = 5*s**2 - 265*s + 6. What is g(i(o))?
20*o**4 + 530*o**2 + 6
Let m(d) = -33*d**2. Let n(r) = -329746*r**2. Determine n(m(i)).
-359093394*i**4
Let w(k) = 65*k - 4. Let g(h) be the second derivative of -h**3/3 - 75*h + 4. Give g(w(n)).
-130*n + 8
Let u be ((-2)/18*12)/(4/(-6)). Let r(m) = 4*m**u - 21343*m + 21343*m. Let f(o) = -44*o**2. Give r(f(b)).
7744*b**4
Suppose 172 = 832*i - 789*i. Let z(n) be the third derivative of 0*n**3 + 1/8*n**4 + i*n**2 + 0 + 0*n. Let k(w) = -6*w**2. Calculate z(k(b)).
-18*b**2
Let k(t) be the third derivative of -t**5/60 + t**2 + 12003*t. Let u(s) = -1041*s + 1. What is k(u(b))?
-1083681*b**2 + 2082*b - 1
Let h = -10378 - -10378. Let f(v) be the second derivative of 21*v + 1/2*v**4 + h*v**2 + 0 + 0*v**3. Let s(o) = 3*o**2. Calculate f(s(k)).
54*k**4
Let k(u) = -u**2. Let y(x) = 1 + 0 + 11 + 11*x - 2*x**2. Let b be y(6). Let h(a) = -2053 + b*a**2 + 2053. What is k(h(f))?
-36*f**4
Let p(o) = -2*o - 7990736. Let v(w) = 2*w + 19. Give p(v(t)).
-4*t - 7990774
Let w(q) = q**2. Let t be (-2 + 53)/(-14 - -15). Suppose 59 = b + t. Let u(k) = b + 2*k - 4 - 4. Give w(u(j)).
4*j**2
Let l(w) be the third derivative of -11*w**4/24 + 2*w**2. Let i(h) = -74 + 145 - 4*h + 5*h - 71. What is l(i(u))?
-11*u
Let p = 46 - 30. Let m(w) = 1 + 3*w**2 - 1 - p*w**2. Let f(i) = 27*i**2 - 7*i. Let j(v) = -23*v**2 + 6*v. Let u(k) = -6*f(k) - 7*j(k). Determine m(u(o)).
-13*o**4
Let c(g) = -112*g**2. Let k(w) = -12*w - 4*w + 8 + 5*w - 4 + 16*w. Calculate k(c(y)).
-560*y**2 + 4
Let f(t) = 5*t**2. Let z(l) be the second derivative of 745*l**3/6 - l - 4791. Give z(f(b)).
3725*b**2
Let u(x) = -112*x. Let t(k) = -503*k. Let s(g) = 4*t(g) - 18*u(g). Let p(q) = -237*q**2. What is s(p(b))?
-948*b**2
Suppose -5*x = 3*o + 59, -2*x + 26 - 8 = -2*o. Let y(j) = 15*j. Let i(c) = 7*c. Let q(t) = o*i(t) + 6*y(t). Let m(s) = -17*s. What is m(q(n))?
17*n
Let l(q) = -2*q + 76. Let x(j) = -20*j**2 + j - 3. Determine x(l(n)).
-80*n**2 + 6078*n - 115447
Let t(g) = 110*g**2 + 3*g + 3. Let z(h) = 473*h**2 + 153*h**2 + 34*h**2 + 17*h + 17. Let y(k) = -34*t(k) + 6*z(k). Let p(w) = w. Calculate p(y(i)).
220*i**2
Let l(p) = 1713*p - 26*p**2 - 1713*p + 78*p**2. Let q(z) = z**2. Give l(q(m)).
52*m**4
Let x(r) = -122*r - 2. Let m(j) = -38333*j. Calculate m(x(l)).
4676626*l + 76666
Suppose -b - 119 + 67 = 0. Let r = b - -55. Let z(x) = -x + x - r*x**2 + 0*x. Let a(t) = 8*t. What is a(z(p))?
-24*p**2
Let c(d) = 25923*d. Let q(r) = -48*r. Calculate c(q(j)).
-1244304*j
Let a(t) = 3*t**2 - 11*t - 5. Let w(n) = 3*n**2 - 12*n - 6. Let r(p) = 6*a(p) - 5*w(p). Let s(z) be the second derivative of -z**3/6 + 3043*z. Give s(r(b)).
-3*b**2 + 6*b
Let h(b) = -1725*b. Let n(k) = -28*k**2 + 29*k**2 - 18*k**2 + 18*k**2. Determine n(h(p)).
2975625*p**2
Let p = 1 - -6. Let w(s) = -6*s - p*s + 17*s. Let i(d) = -7*d. Determine w(i(h)).
-28*h
Let w(t) be the second derivative of 8*t**3/3 - t**2 - 124942*t. Let j(i) = -4*i - 3*i + 2*i. What is w(j(u))?
-80*u - 2
Let w(q) = -5637*q + 11276*q - 5640*q. Let g(c) = 794*c. Determine g(w(i)).
-794*i
Let j(c) = 505*c. Let f(q) = 21263*q - 1. Calculate j(f(y)).
10737815*y - 505
Let o(v) = -2779941*v. Let t(d) = -88*d**2. What is t(o(p))?
-680070332786328*p**2
Let i(z) = 2*z. Let m(c) be the second derivative of 2*c**3/3 + 9*c. Let d(y) = 7*i(y) - 3*m(y). Let v(k) = -3*k**2 + 8*k. Determine v(d(g)).
-12*g**2 + 16*g
Let g = -141 - -152. Let n(o) = -11*o - 11*o**2 + g*o - 11*o**2. Let q(l) = -l + 3. Let r(z) = -z + 1. Let m(i) = q(i) - 3*r(i). Determine m(n(f)).
-44*f**2
Let y(p) = 2*p**2. Let q(d) be the third derivative of 5*d**4/8 - 3*d**3 + 1088*d**2. Determine y(q(w)).
450*w**2 - 1080*w + 648
Let b(r) = -2*r**2. Let m(v) = -114*v**2 - 10012*v. Determine m(b(c)).
-456*c**4 + 20024*c**2
Let s(p) = 21871*p**2. Let o(k) = k**2 - 345*k. What is o(s(j))?
478340641*j**4 - 7545495*j**2
Let x(q) = 39*q**2. Let c(g) be the first derivative of -115 + 4/3*g**3 + 0*g**2 + 0*g. Determine c(x(d)).
6084*d**4
Let j(r) = -3*r + 1. Let o(l) = -28*l + 85*l - 72 + 54. Let m(v) = -18*j(v) - o(v). Let f(n) = 5*n**2. Give f(m(u)).
45*u**2
Suppose j + 0*j = -3*f - 11, -2*j - 5*f - 17 = 0. Let r(c) = -8*c - 16. Let b(u) = -11*u - 17. Let z(y) = j*r(y) - 3*b(y). Let o(k) = -k. What is o(z(p))?
-p + 13
Let a(i) = 2*i - 43. Let o(v) be the first derivative of 19*v**3/3 - 103. Let w(z) = -4*z**2. Let g(h) = -2*o(h) - 9*w(h). Calculate g(a(f)).
-8*f**2 + 344*f - 3698
Let l(k) = 5*k**2. Suppose -4*u + 3*w = -5*u + 111, 2*u + w = 212. Suppose 4*s - 71 = u. Let g(x) = 2*x + s*x**2 - 2*x - 41*x**2. What is l(g(n))?
45*n**4
Let i(o) = 8711*o. Let l(r) = -4*r**2 - 142. What is l(i(s))?
-303526084*s**2 - 142
Let j(v) = 3*v**2. Let a(u) = 18345714*u. Calculate a(j(c)).
55037142*c**2
Let l(c) = -2*c - 223. Let g(i) = 59*i**2 + 30
|
{
"pile_set_name": "DM Mathematics"
}
|
Let v = -2893 - -2891. Which is smaller: v or 18.75?
v
Let f = -214.07 + 216. Let o = -0.13 + f. Let u = 1.9 - o. Which is smaller: u or -2/9?
-2/9
Suppose -x + 3367 = 5*p, 53*p - 47*p = -3*x + 4017. Let i(l) = -l + 677. Let j be i(0). Is p at most j?
True
Let z be (-159)/(-583) + 366/(-11). Suppose -2*o = -42 - 70. Let q = 24 - o. Which is greater: q or z?
q
Let q = -9.05 + -1228.45. Are q and -2 non-equal?
True
Suppose 0 = -5*g - 4*n + 25, 4*n - 21 = -3*g + 2. Which is greater: g or 26/45?
g
Let i be (-17522)/(-6) + (-9)/(-3). Let q = i + -2998. Which is greater: q or -75?
q
Let x(r) = 5*r - 3. Let o be x(-3). Suppose -31 = 3*l + 17. Let f = -15 - l. Which is smaller: o or f?
o
Let r = 8232 + -8232.1. Let j(h) = 35*h - 3. Let g be j(2). Is g < r?
False
Let w = 24 - -12. Let y = 427 - 390. Which is bigger: y or w?
y
Let o = 13399.1 - 13399. Is 793 equal to o?
False
Let r be (44/40)/11 - 17/510. Let h = 2 + -4. Let f be (-6)/4*h/(-3). Which is greater: r or f?
r
Let v = -11.1 - -11.1. Let m = -372 + 371.88. Are m and v equal?
False
Let j(d) = -4*d**2 + 62*d - 500. Let l be j(8). Which is smaller: -259 or l?
l
Let s = -2 - -2.05. Let h = -41089 - -41074. Which is smaller: s or h?
h
Let d = -8 + 8. Let x = -27564.059 + 27584. Let l = x + 0.059. Which is smaller: l or d?
d
Let n be 21/(-27) - (0 + -1). Let f = -112 - -112. Suppose f = 16*v + 56 + 24. Which is bigger: n or v?
n
Suppose 0 = -8*a - 1 + 25. Suppose 4*s + 13 = m, -5*s - 37 = -a*m + 37. Which is greater: 28 or m?
m
Suppose -4 = -3*r + b, 2*r - 318*b = -319*b - 4. Is -37/53 less than or equal to r?
True
Suppose 0 = 59*f + 45 + 132. Which is smaller: -29/16 or f?
f
Let z(n) = 4*n + 113. Let t be z(-28). Let a be 3 + -6 + -30 - t. Which is smaller: a or -3?
a
Let j = -146 - -114. Which is bigger: j or 3/22?
3/22
Let a(r) = -r**3 - 9*r**2 - r - 2. Let n be a(-9). Suppose 7*s = -7 + n. Let m = 16721/25 + -669. Is s at least m?
True
Suppose -3*b + 5*b = 4. Suppose -z - 62 = -5*w - 16, 2*w + b*z = 16. Suppose -m + y - w = 0, 5*m = -y - 3*y - 81. Is m bigger than -12?
False
Let s = 107 - 399. Let f = s - -103. Is 0.1 less than or equal to f?
False
Let o(d) = -d**3 + 21*d**2 - 19*d - 19. Suppose 2*s - 90 = -5*t, 2*t - 23 + 8 = -5*s. Let x be o(t). Let f be (1 - 14)/(x*(1 + -2)). Which is greater: 15 or f?
15
Let o be (-8)/((24 - 8)/8) - 22836/(-5790). Does o = 0?
False
Suppose -570 = 6*q + 186. Let y be (-2 - -3)*(-27)/q*-2. Is y at least as big as -0.03?
False
Let n be 3 + (-97)/33 + 2015812/1518. Which is bigger: n or 1329?
1329
Let j = 96.9 + -97. Let t = -0.27 + 0.26. Let c = t + -3.29. Is j greater than or equal to c?
True
Suppose 5*r = r + 16. Suppose 3*o = o + r. Suppose 5*g - o*n + 15 = 0, 5*g + n + n - 5 = 0. Is 1/10 less than or equal to g?
False
Let l be (-14)/(-10) + (-840)/40*4/35. Let r = 412 + -30075/73. Which is smaller: l or r?
l
Let v = 34673/6 - 5762. Suppose 4*c - 26 = a + 41, a = -2*c + 29. Which is greater: c or v?
v
Let b = 8372 + -8665. Which is bigger: b or -0.48?
-0.48
Let p(q) be the third derivative of -q**4/8 - 7*q**3/2 + q**2 - 12*q. Let a be p(-8). Are a and -0.5 nonequal?
True
Let r = 0.03 + -0.063. Let z = r - -0.141. Let m = z - 0.008. Is 19 at least m?
True
Let r = -8 - -42. Let k(d) = 12*d - 149. Let v(t) = 3*t - 37. Let q(y) = 2*k(y) - 9*v(y). Let x be q(0). Is x smaller than r?
False
Suppose -t + 4183 = -3*q, 3*t = 25*q - 29*q - 5599. Which is greater: q or -5579/4?
-5579/4
Let y = 22 - -22. Let o = 49.9 - y. Let b = -1.9 + o. Which is greater: b or -2?
b
Let w be 2/(16/9822) - 1 - (-198)/(-264). Which is bigger: 1224 or w?
w
Let w(f) = -f**3 - f**2 + 2*f + 4. Suppose -4 = -30*s + 32*s. Let m be w(s). Suppose -n - 34 = 3*v, 0*v - m*n = -5*v - 85. Which is bigger: -14 or v?
v
Let n be (150/(-210)*7)/(2033/2). Which is bigger: -1 or n?
n
Suppose 3*t + 1037 = 4*j - 498, -2*j - t + 755 = 0. Is j less than 376?
False
Let v(j) = -j**2 + 2*j + 1. Let t be v(2). Let k = 53971/2070 - 469/18. Which is smaller: t or k?
k
Let t(s) = -s**2 - 49*s + 1753. Let h be t(-73). Which is greater: h or -2/4247?
h
Let z = 20666/581 - 250/7. Which is smaller: 0 or z?
z
Let b = 28919 - 4019780/139. Are b and -1 non-equal?
True
Let a(x) = -2*x**3 + 73*x**2 + 71*x + 207. Let b be a(38). Is -1427 at least as big as b?
True
Suppose -3*l + 8 = -5*v, -3*l - 48*v = -54*v - 9. Is 1/166 < l?
True
Let s(q) = 7*q - 3. Let c be s(-13). Let l(k) = 25*k**2 - k - 10. Let w be l(-2). Let h = w + c. Which is smaller: h or 3/4?
h
Let v = 764.7 - 771.7. Suppose -194 = -5*u - 4*h, -4*h + 23 = 3*u - 87. Which is greater: v or u?
u
Let c = -0.1083 + 0.0083. Which is smaller: c or -8.64?
-8.64
Let m be 168/12*(30/(-35) - 2). Is m greater than -26/9?
False
Let k = 135.6 - 135. Let v = 0.12 + -2.22. Is k less than v?
False
Let y = 352107.1 + -352107. Let m = -56.385 + -0.415. Let s = -51 - m. Which is bigger: s or y?
s
Let h be (-14 + 13)/((-3)/318). Is 110 equal to h?
False
Let s = 10338 + -10368. Let y = -2627222/84447 + -2/9383. Which is greater: s or y?
s
Let i = -1389 + 1388. Which is smaller: i or -10.06?
-10.06
Suppose 11*q = 8*q + 3*l + 102, 0 = -3*l + 3. Is 168/5 bigger than q?
False
Let x(k) = -19*k**3 + 8*k**2 + 33*k - 45. Let a(u) = 10*u**3 - 4*u**2 - 18*u + 22. Let w(y) = -7*a(y) - 4*x(y). Let o be w(3). Do o and 137 have the same value?
False
Let v(l) = 70*l - 32. Let o be v(1). Suppose 5*y = 272 + o. Is y smaller than 62?
False
Let n = -2698.1 - -2698. Which is bigger: n or -955?
n
Let t = -746 - -679. Which is greater: -51 or t?
-51
Suppose 4*s - 3*z = z + 12, 2*s + 3*z - 6 = 0. Suppose 12 = -4*k - s*u, -k - 4*u = u + 20. Suppose 9*o - 13*o = k. Is 2 less than o?
False
Let d = -32.021 + 0.021. Let l = -7.7 + -11.3. Let z = l - d. Which is smaller: z or -1?
-1
Let k be (-11)/4 - 813*20/(-18480). Which is bigger: k or -2?
k
Let p be -818 + 0 + -1 + 3. Let j be (-364)/455*8214/(-8). Let t = p + j. Is 4 >= t?
False
Let c = -19303 + 19302. Which is smaller: -174/23 or c?
-174/23
Let a = 473843 + -210859977/445. Let t = a + 4/89. Is t less than 0.09?
False
Let c(v) = 3*v**2 + 14*v - 92. Let j(q) = -q**2 + 1. Let g(r) = c(r) + 4*j(r). Let p be g(6). Do p and -40 have the same value?
True
Suppose 9792 = -52*y + 32*y - 14*y. Is y smaller than -290?
False
Let m be 14/(-6) + 3 + -17*11/(-561). Which is smaller: -0.03257 or m?
-0.03257
Let p be (-11480)/192 - 32/24. Which is bigger: p or -62?
p
Let i be 504/(-84) + (-1758)/(-292). Which is greater: i or -1.2?
i
Let w = 540.3 + -541.3. Which is smaller: w or -218?
-218
Suppose 5*a - 131 = 4*n, 0 = -2*n - 2*n + 3*a - 125. Let r = n - -26. Let v be r*(4 - (-20)/(-27)). Is -9 at most as big as v?
False
Let b be (-48)/(-20) - 1115452/463980. Does b = -1?
False
Let x = -245505 + 1715185/7. Let c be -25 - -26 - (-1*1 + -478). Let m = c + x. Is 1 greater than m?
False
Let w = -17086 - -68343/4. Is -0.035 not equal to w?
True
Let j(b) = -337*b - 9774. Let i be j(-29). Which is smaller: i or 712?
i
Let l be (-1)/16*6 - (-2322)/48. Is 142/3 not equal to l?
True
Let y = -59.43 - -59.653. Suppose 0 = 5*c - 4*c. Is c != y?
True
Suppose -5*h + 56 = -4*h. Suppose -7*y + h = -21. Is 12 <= y?
False
Let g be (-1)/(21/2) + (-156)/(-1638). Which is bigger: g or -1/25?
g
Let d be 24/16 + 33418/16. Let h = d - 2093. Is -4 at most h?
True
Let c be ((-39)/26)/(87/(-4)). Let y = -167 + 76. Let j = y + 88. Is j < c?
True
Let s(b) = 13*b**3 - 9*b**2 + 25*b + 21. Let v(d) = -7*d**3 + 5*d**2 - 13*d - 11. Let o(f) = 6*s(f) + 11*v(f). Let q be o(-1). Which is smaller: -5/3 or q?
q
Let y = -31412 - -31412. Which is bigger: y or -1/17911?
y
Let q = 0.058 + -60.058. Let f = q + 39. Let i = f + 26. Are i and 0.08 equal?
False
Let h be 1*-1 - 4*426/120. Let p(w) = -4*w + 16. Let l(n) = -n**3 - 9*n**2 + 9*n - 2. Let c be l(-10). Let o be p(c). Are o and h nonequal?
True
Suppose -9 = 2*n - 3. Let c be 3056/(-24)*(n - (-3)/2). Is 1/3 smaller than c?
True
Let j be (2380/(-26418))/((-15)/63). Let h = 2 + -2. Is h less than j?
True
Suppose 390*p - 6090 = 404*p. Let u = 883 - 1318. Is p > u?
False
Let d(u) = 12*u**3 + 45*u**2 - 163*u + 14. Let l be d(4). Is 856 != l?
True
Let t = 1/126768 - -757001/457252176. Is t greater than or equal to 0?
True
Suppose 5*f + 4*k = -3351, -6*f + 5*f = 3*k
|
{
"pile_set_name": "DM Mathematics"
}
|
{c: 2, x: 18}.
1/190
Three letters picked without replacement from lggfxxxlgc. What is prob of picking 2 l and 1 f?
1/120
Two letters picked without replacement from {v: 3}. What is prob of picking 2 v?
1
What is prob of picking 1 c, 1 s, and 1 y when three letters picked without replacement from yyjsycys?
1/7
Calculate prob of picking 1 y and 1 p when two letters picked without replacement from djjxpypyxjox.
2/33
Two letters picked without replacement from {c: 2, i: 2, w: 6, a: 3}. What is prob of picking 2 a?
1/26
Calculate prob of picking 2 a when two letters picked without replacement from ntnannanaaa.
2/11
Four letters picked without replacement from wqrwwrdpwpprr. What is prob of picking 1 d, 2 w, and 1 r?
24/715
What is prob of picking 2 j and 2 u when four letters picked without replacement from {j: 4, y: 5, u: 5, w: 1}?
4/91
Four letters picked without replacement from yyyyiiyiyiqgyi. What is prob of picking 1 g, 2 i, and 1 y?
10/143
Four letters picked without replacement from {u: 4, v: 2, z: 2}. What is prob of picking 2 v, 1 u, and 1 z?
4/35
Four letters picked without replacement from {p: 2, c: 9, e: 1, z: 2, j: 3}. What is prob of picking 2 z, 1 p, and 1 j?
3/1190
Four letters picked without replacement from {o: 12, k: 6}. Give prob of picking 1 k and 3 o.
22/51
Calculate prob of picking 1 c, 1 s, and 1 b when three letters picked without replacement from {b: 3, c: 1, d: 2, e: 1, s: 3, m: 9}.
3/323
Four letters picked without replacement from {p: 3, d: 9}. What is prob of picking 4 d?
14/55
Four letters picked without replacement from qlqnnqn. Give prob of picking 1 n and 3 q.
3/35
What is prob of picking 2 y when two letters picked without replacement from yyyyy?
1
Three letters picked without replacement from {n: 1, h: 2, a: 2, j: 1, s: 2, t: 4}. Give prob of picking 1 a, 1 j, and 1 s.
1/55
What is prob of picking 1 f and 1 a when two letters picked without replacement from {f: 3, a: 4}?
4/7
Two letters picked without replacement from {i: 1, p: 1, g: 1, k: 1, d: 1, j: 2}. What is prob of picking 1 i and 1 d?
1/21
Calculate prob of picking 2 j and 2 x when four letters picked without replacement from {j: 2, b: 2, x: 5}.
5/63
Two letters picked without replacement from jjjjjj. What is prob of picking 2 j?
1
Four letters picked without replacement from xrrxxwwrrrwdv. Give prob of picking 3 x and 1 d.
1/715
Four letters picked without replacement from {h: 8, x: 8, r: 2}. What is prob of picking 2 x and 2 h?
196/765
What is prob of picking 1 e and 3 z when four letters picked without replacement from {z: 7, e: 2}?
5/9
Three letters picked without replacement from {r: 1, j: 5, t: 1, a: 3}. What is prob of picking 1 a, 1 t, and 1 j?
1/8
Two letters picked without replacement from {e: 2, l: 1, n: 5, d: 1, o: 4, k: 2}. What is prob of picking 2 k?
1/105
Four letters picked without replacement from {e: 1, a: 5, y: 3}. Give prob of picking 3 a and 1 y.
5/21
Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {w: 1, n: 1, k: 1}.
1/3
What is prob of picking 2 l and 2 i when four letters picked without replacement from {v: 1, l: 4, i: 5}?
2/7
Calculate prob of picking 1 t, 1 m, and 1 s when three letters picked without replacement from {s: 1, c: 1, m: 10, t: 3}.
6/91
What is prob of picking 1 n, 1 f, and 1 k when three letters picked without replacement from {t: 2, x: 3, n: 6, f: 1, k: 3}?
18/455
Calculate prob of picking 2 f when two letters picked without replacement from uffu.
1/6
Calculate prob of picking 1 h and 3 d when four letters picked without replacement from {j: 3, h: 6, a: 2, e: 2, d: 2}.
0
What is prob of picking 1 b and 1 w when two letters picked without replacement from {z: 2, m: 7, w: 5, b: 3}?
15/136
Calculate prob of picking 1 f and 2 p when three letters picked without replacement from pppff.
3/5
Four letters picked without replacement from igggiqigiiggg. What is prob of picking 1 q, 2 i, and 1 g?
14/143
Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 8, u: 3}.
24/55
Three letters picked without replacement from {s: 7}. What is prob of picking 3 s?
1
What is prob of picking 1 k and 2 j when three letters picked without replacement from {d: 1, k: 1, j: 2, i: 1, g: 4}?
1/84
Four letters picked without replacement from {d: 3, h: 3, z: 4, a: 2, s: 1, i: 2}. Give prob of picking 1 h, 2 a, and 1 z.
4/455
Four letters picked without replacement from {k: 5, g: 7, t: 7}. Give prob of picking 3 t and 1 k.
175/3876
What is prob of picking 1 e, 1 i, and 2 b when four letters picked without replacement from eepepiepebpebe?
1/143
Four letters picked without replacement from nnnppnnnnnmnnpn. Give prob of picking 1 m and 3 p.
1/1365
What is prob of picking 1 r, 1 s, and 2 v when four letters picked without replacement from {r: 6, v: 2, a: 1, i: 5, s: 2}?
3/455
Two letters picked without replacement from nnnnrrnrnnn. What is prob of picking 1 r and 1 n?
24/55
Three letters picked without replacement from hhhdd. Give prob of picking 1 d and 2 h.
3/5
Calculate prob of picking 1 a and 1 y when two letters picked without replacement from aayayay.
4/7
Three letters picked without replacement from uutuuuuuuttutu. What is prob of picking 1 t and 2 u?
45/91
Calculate prob of picking 1 k, 1 o, and 2 h when four letters picked without replacement from {o: 2, h: 4, k: 2}.
12/35
What is prob of picking 1 o and 2 i when three letters picked without replacement from {s: 1, y: 1, o: 3, k: 4, i: 4}?
9/143
Calculate prob of picking 3 v and 1 h when four letters picked without replacement from {v: 3, h: 2, l: 10}.
2/1365
Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {h: 1, r: 7, f: 3, q: 2, z: 1}.
2/13
Calculate prob of picking 1 v and 2 d when three letters picked without replacement from {u: 1, d: 2, g: 1, x: 1, v: 2, c: 2}.
1/42
What is prob of picking 1 k and 1 s when two letters picked without replacement from imosk?
1/10
Two letters picked without replacement from {u: 1, k: 1, n: 1}. Give prob of picking 1 u and 1 k.
1/3
What is prob of picking 3 u when three letters picked without replacement from {u: 3, o: 1}?
1/4
Two letters picked without replacement from {w: 14, m: 1, v: 2, l: 2}. Give prob of picking 1 w and 1 v.
28/171
Calculate prob of picking 1 m and 3 v when four letters picked without replacement from vmmvvmv.
12/35
What is prob of picking 3 i when three letters picked without replacement from {e: 4, i: 16}?
28/57
Three letters picked without replacement from {c: 12, o: 3, y: 2}. What is prob of picking 3 o?
1/680
Calculate prob of picking 1 z, 2 q, and 1 s when four letters picked without replacement from ooqqoosgz.
1/126
What is prob of picking 3 y when three letters picked without replacement from {g: 2, y: 1}?
0
Four letters picked without replacement from {w: 1, p: 5, s: 3, f: 1, a: 1, o: 3}. Give prob of picking 2 p and 2 s.
30/1001
Three letters picked without replacement from {w: 2, r: 1, y: 1, k: 4}. What is prob of picking 1 y and 2 k?
3/28
Calculate prob of picking 1 b and 1 e when two letters picked without replacement from lvzllfelvvlbvlev.
1/60
Two letters picked without replacement from wwwggw. What is prob of picking 2 g?
1/15
What is prob of picking 1 u and 1 g when two letters picked without replacement from bsspgguffgf?
3/55
Calculate prob of picking 2 a when two letters picked without replacement from {x: 1, p: 1, a: 2}.
1/6
What is prob of picking 1 o and 1 m when two letters picked without replacement from xtmoyyotmomxootmyxoo?
14/95
What is prob of picking 1 j and 1 s when two letters picked without replacement from {j: 4, g: 6, s: 1}?
4/55
Calculate prob of picking 1 q and 1 t when two letters picked without replacement from tftttqqqqqm.
4/11
What is prob of picking 2 i when two letters picked without replacement from vviiiivviiiivipiivi?
22/57
Calculate prob of picking 2 c when two letters picked without replacement from rrfrcfffzcffvrvffr.
1/153
Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrxrrrrrrr.
11/15
Two letters picked without replacement from {v: 1, m: 1, n: 1, f: 4, z: 5, t: 1}. Give prob of picking 1 n and 1 z.
5/78
Two letters picked withou
|
{
"pile_set_name": "DM Mathematics"
}
|
of -31*q**4/8 + 1950*q**2. Let j(s) = 8*s. Determine j(r(v)).
-744*v
Let h(g) = 343*g**2. Let i(j) = 2698*j + 2701*j - 5389*j. Determine h(i(n)).
34300*n**2
Let g(k) = -41960*k - 1. Let x(v) = 33*v. Calculate x(g(t)).
-1384680*t - 33
Let i(q) = 2*q - 1900584*q**2 + 1900573*q**2 - 2*q. Let j(u) = -10*u - 13. Let r(y) = -5*y - 6. Let l(v) = -6*j(v) + 13*r(v). Calculate i(l(d)).
-275*d**2
Let v(h) = 2*h**2. Let d(z) = 165*z - 90. Let l be 8/18 + 52702/(-117). Let u(j) = 2*j - 1. Let n(s) = l*u(s) + 5*d(s). Give v(n(w)).
11250*w**2
Let o(j) = 42138*j**2. Let r(g) = -667*g. What is o(r(h))?
18746732682*h**2
Let b(s) = s**2 - 3117*s. Let u(n) = 217*n. Give b(u(p)).
47089*p**2 - 676389*p
Let c(g) = g**2. Let x(n) be the first derivative of -643*n**3/3 - 2*n - 499. What is x(c(w))?
-643*w**4 - 2
Let a(z) = 2*z**2 + 5*z. Let g(o) = 2*o**2 - 41*o - 19. Let p be g(21). Let i(c) = -180125*c - 4*c**p + 180125*c - c**2. Give i(a(b)).
-20*b**4 - 100*b**3 - 125*b**2
Let k(p) = -204*p**2 - 2. Let z(h) = -3619*h. What is k(z(m))?
-2671820844*m**2 - 2
Let r(v) = -2*v. Let z(x) = -33*x**2 - 460029*x + 1. Give r(z(l)).
66*l**2 + 920058*l - 2
Let t(v) = 2793324*v**2. Let s(k) = -k. Calculate t(s(z)).
2793324*z**2
Let y(a) be the second derivative of 11*a**4/6 + a**3/3 - 20*a + 41. Let f(p) = 18*p. Calculate f(y(r)).
396*r**2 + 36*r
Let b(o) = -2162*o. Let h(a) = -621*a - 625*a + 1869*a - 624*a. Give b(h(l)).
2162*l
Let t(a) = 21758*a. Let z(g) = -224 + 407 - 2*g + 3*g - 183. Give z(t(c)).
21758*c
Let g(b) = 735421*b. Let m(a) = -11*a**2. Give m(g(w)).
-5949284519651*w**2
Let i(w) = -2*w**2. Let q(k) = -1545425*k. Determine q(i(u)).
3090850*u**2
Let j(s) be the second derivative of s**3/6 + 7746*s. Let z(a) = -6*a + 2*a + 2*a. Determine j(z(d)).
-2*d
Let i(l) = 18*l + 1. Let q(u) = u**2 - 18*u - 54. Let r be q(21). Let k(p) = 6*p + 18. Let t(a) = 3*a + 10. Let s(c) = r*t(c) - 5*k(c). Calculate i(s(o)).
-54*o + 1
Let i(c) = 31664*c**2. Let f(w) = -88*w. What is f(i(g))?
-2786432*g**2
Let x(o) = -3*o**2. Let c(l) = -5*l**2 - 213*l**2 + 2 - 1 - 101*l**2 - 32*l**2. What is x(c(i))?
-369603*i**4 + 2106*i**2 - 3
Let f(t) be the first derivative of t**2/2 + 567. Let d(z) = -1795*z + 1. Give d(f(u)).
-1795*u + 1
Let v(q) = q. Let a(s) = 9800980*s + 7672. Let b(o) = -3833*o - 3. Let w(m) = 3*a(m) + 7672*b(m). Calculate w(v(x)).
-3836*x
Let w(k) = -2817*k. Let z(j) = j**2 + 8*j + 8. Let d(q) = -q**2 - 6*q - 6. Let x(u) = 4*d(u) + 3*z(u). What is x(w(g))?
-7935489*g**2
Let n(r) be the third derivative of 0 - 24*r + 0*r**3 + 3*r**2 + 9/8*r**4. Let b(f) = 8*f**2. Calculate n(b(g)).
216*g**2
Let w(l) = -69 + 35 + 27 + 24*l. Let h(u) = -10*u. Determine h(w(p)).
-240*p + 70
Let f(g) = 1767*g. Let n(i) be the third derivative of -i**4/12 - 1651*i**2. What is n(f(w))?
-3534*w
Let p be 188/846 - 52/(-9). Let c(r) = 4*r - r - p*r + 11*r. Let z(h) = -h**2 - 6 + 6. Give c(z(j)).
-8*j**2
Let p(r) = -48*r**2 + 16*r. Let v(a) = -6758*a + 4. What is v(p(n))?
324384*n**2 - 108128*n + 4
Let d(f) = -f**2. Suppose u = -2*o + 20947, 2*u - 4*o = 6*u - 83796. Let i(k) = -20951 + 7*k + u. Calculate i(d(q)).
-7*q**2
Let w(a) = -2*a - 291 + 145 + 146. Let z(j) be the third derivative of -38*j**5/15 - 4*j**2. Determine w(z(h)).
304*h**2
Let f(r) = 12*r**2. Let b(n) = n**3 - 13*n**2 + 24*n - 10. Let a be b(11). Let s(z) = -2*z + a*z - 5*z - 4*z - 4*z. Give f(s(y)).
108*y**2
Let v(h) = -h**2. Let p(n) = -n**2 - 1. Let k(i) be the third derivative of -i**5/60 + i**3/2 + i**2 + 37. Let s(g) = -k(g) - 5*p(g). Determine s(v(l)).
6*l**4 + 2
Let z(y) = -2 - y + 0 - 4. Let r be z(-17). Let v(m) = 9*m - 24*m + r*m. Let j(k) = k. Give j(v(g)).
-4*g
Let m(d) = 27 - 36*d**2 - 27 + 5*d**2 - 63*d**2. Let y(a) = 7*a**2. Determine m(y(k)).
-4606*k**4
Let v(r) = -54*r. Let p(u) = 30132*u**2. Determine v(p(z)).
-1627128*z**2
Let d(p) = -p. Let r(a) be the third derivative of -129*a**4/8 + a**3/6 + 1300*a**2. Calculate r(d(k)).
387*k + 1
Let a(h) = 9108*h. Let y(z) = 4*z + 397. What is a(y(c))?
36432*c + 3615876
Suppose 0 = 5*v - 22 + 12. Let m(r) = 25984 - 4*r**v - 25984. Let a(t) = t**2. Determine a(m(p)).
16*p**4
Let u(b) = b. Let x(v) = 121 + 123 + 125 - 372. Let k(t) = -t - 5. Let w(d) = -d**2 + 4. Let n be w(3). Let r(l) = n*x(l) + 3*k(l). Give r(u(m)).
-3*m
Let j(a) = a. Let v(c) = 183 - 10*c + 2*c + 5*c + 2*c. What is v(j(w))?
-w + 183
Let h(u) = 9006925*u. Let w(d) = -6*d**2. Determine h(w(t)).
-54041550*t**2
Let g(i) = -i - 18. Let q(c) = -98*c - 1134. Let l(v) = -252*g(v) + 4*q(v). Let t(k) = -k. Give t(l(r)).
140*r
Suppose 2*o - 6 = 4*d, d + 2*o - 2 = 4. Let a(b) = d*b - b - b + 0*b. Let m(p) = 7*p + 1. Let n(i) = -8*i - 2. Let x(z) = 5*m(z) + 4*n(z). Determine x(a(j)).
-6*j - 3
Let t(v) = 2973*v**2 - 1001*v**2 - 980*v**2 - 993*v**2. Let s(y) = -57*y - 42*y - 8*y. Calculate s(t(f)).
107*f**2
Let h(f) = -8 + f - 97*f + 30 - 22. Let n(a) = -15*a**2. Let m(p) = -7*p**2. Let v(i) = -9*m(i) + 4*n(i). Calculate v(h(w)).
27648*w**2
Let i(x) = -2975*x + 52. Let z(p) = -11903*p + 234. Let y(l) = -9*i(l) + 2*z(l). Let c(u) = 6*u. What is c(y(b))?
17814*b
Let a(q) = -15*q + 37*q**2 + 31*q - 16*q. Suppose f + 18 - 20 = 0. Let b(z) = 6*z**2 - 24*z**f + 16*z**2. What is a(b(m))?
148*m**4
Let f(v) = 6*v. Let c(q) be the first derivative of 3*q**2 + 72 + 7*q**2 + 35 + 9. What is c(f(y))?
120*y
Let f(g) be the third derivative of g**4/6 + 2*g**2. Let t(s) be the second derivative of 17*s**3/6 + s**2/2 + 37*s - 276. Calculate t(f(p)).
68*p + 1
Suppose 17 = s + 3*i, 6*s - 7*i + 9*i - 22 = 0. Let l(a) be the first derivative of 22 + a + 11/2*a**s. Let c(f) = -2*f**2. Determine l(c(k)).
-22*k**2 + 1
Suppose -2*q = 4*c - 0*c - 114, c = -3*q + 146. Let z(b) = -96*b + q*b + 46*b. Let m(h) = -38*h. What is m(z(k))?
114*k
Let f(r) = 2*r + 15. Let p(s) = -4*s**2 - 3*s - 6. Let n(a) = 5*a**2 + 4*a + 8. Let b be (-182)/(-65) - 3/(-15). Let z(j) = b*n(j) + 4*p(j). Calculate f(z(x)).
-2*x**2 + 15
Let k(a) = a**2 + 9*a + 3. Let d(u) = 3*u**2 + 21*u + 7. Let g(x) = 3*d(x) - 7*k(x). Let z(n) = -2*n - 382. Determine g(z(c)).
8*c**2 + 3056*c + 291848
Let y(v) = -164*v**2 + 48*v + 10. Let k(d) = 8*d. Calculate y(k(f)).
-10496*f**2 + 384*f + 10
Let b(x) = -3*x**2. Let f(i) = 8*i**2 + 560560*i. What is f(b(r))?
72*r**4 - 1681680*r**2
Let g(c) = -8*c. Let x(b) be the third derivative of 0*b + 6*b**2 + 0*b**3 - 7 + 5/24*b**4. What is x(g(a))?
-40*a
Let l(g) be the first derivative of -g**4 + 110*g - 110. Let v(c) be the first derivative of l(c). Let h(k) = 8*k**2. Determine v(h(p)).
-768*p**4
Let j(c) = c**2 - 3*c**2 - c**2 + c**2. Let u(b) = -39*b**2 - 24*b + 4. Let i(t) = 40*t**2 + 18*t - 3. Let g(a) = 4*i(a) + 3*u(a). Give j(g(f)).
-3698*f**4
Let d(q) = -16*q. Let h = 93 - 93. Suppose -14*i + 89 + 121 = h. Let b(g) = 4*g - i*g + 13*g. What is d(b(z))?
-32*z
Let x(q) = -q - 12. Let l(b) be the third derivative of -3*b**4/8 - 1240*b**2. What is x(l(p))?
9*p - 12
Let u(q) = 10016*q. Let z(y) = -1287*y. Calculate z(u(h)).
-12890592*h
Let o(n) = 4*n**2 + 2*n - 2. Let u(v) = 3*v - 2*v - 1 - 2 + 2. Let q(h) = -o(h) + 2*u(h). Let t(b) = 49*b**2. Determine t(q(f)).
784*f**4
Let z(b) = 25361 - 1625*b**2 - 12698 - 12665. Let y(v) = 3*v**2. Calculate y(z(c)).
7921875*c**4 + 19500*c**2 + 12
Let f(q) = 64*q - 1. Let v(a) = -98584*a. Determine f(v(o)).
-6309376*o - 1
Let g(y) be the third derivative of y**5/20 - 2*y**2. Let x be (-225)/(-18) + -6*(-2)/8. Let q(l) = 3*l + 5*l - 2*l - x*l. Determine g(q(d)).
192*d**2
Let z(k) be the third derivative of -k**5/12 + 43*k**3/6 + 2*k**2. Let r(p) be the first derivative of z(p). Let f(q) = -q**2. What is f(r(l))?
-100*l**2
Let w(r) = 3*r - r**2 - 3*r. Let j be (3 + 0)*(-14)/(-6). Let h(g) = -j + 7 + 3*g. Give h(w(k)).
-3*k**2
Let k(i) = i**2 - 123. Let z(s) = -s**2 + 164. Let c(f) = 4*k(f) + 3*z(f). Let x(a) = 3522*a. Calculate x(c(l)).
3522*l**2
Let k(b) = -2*b. Let c be (1/4)/(-3 - (-100)/32). Let n(p) = -216 - 3*p**c - 214 + 430. Give n(k(h)).
-12*h**2
Let p(o) = -712*o. Let w(t) = 7*t + 891. Calculate w(p(m)).
-4984*m + 891
Let j(y) = 5203*y - 2599*y - 2599*y + 2*y**2 + 3*y**2. Let r(c) = 3*c. Give r(j(k)).
15*k**2 + 15*k
Let l(o) be the first derivative of 4*o**2 + 1. Let z = -126 + 128. Let h(p) = -15*p - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(190)*-3 - sqrt(190)) - sqrt(190))*-1)/(-1*-6*(sqrt(160) - -4*sqrt(160))).
-sqrt(19)/15
Simplify -1*(1 + 2 + 1*sqrt(80) + 2 + sqrt(180) + 2).
-10*sqrt(5) - 7
Simplify ((2*sqrt(209)*-2 - -2*sqrt(209)*-6)/((sqrt(704) + -1*sqrt(704)*-5)*-2))**2.
19/36
Simplify ((3*(sqrt(64) + sqrt(64) + sqrt(64)*-1 + sqrt(64)))/(sqrt(36)*-4))/((sqrt(392) + -1*sqrt(392) + sqrt(392) - 2*(sqrt(8) + sqrt(32)))*-2).
sqrt(2)/4
Simplify (sqrt(121)*1*3 - sqrt(121)*-1*-6)/(6*((sqrt(891) + sqrt(891) + sqrt(891)*-2)*3 + sqrt(891))).
-sqrt(11)/18
Simplify 2 + (sqrt(500) - ((-1 + sqrt(500))*-2 + sqrt(500))) + 0 + (-5*(sqrt(500) + -3) + (1*sqrt(500)*5 - sqrt(500)))**2.
-280*sqrt(5) + 725
Simplify -4 + 6*(-4 + sqrt(27)/(sqrt(90)/sqrt(40)) + sqrt(6)/(sqrt(8)/sqrt(4)*3 + sqrt(2) + sqrt(2))).
-28 + 66*sqrt(3)/5
Simplify 4 + 6*(sqrt(171)/(((sqrt(9) - (sqrt(45)/sqrt(5) + sqrt(9) - sqrt(9))) + sqrt(9))*2) - (sqrt(19) + 4*-1*sqrt(19))*2)*-2.
-78*sqrt(19) + 4
Simplify 6*(-2*6*sqrt(171)*-2)/(-3*sqrt(729)*-2).
8*sqrt(19)/3
Simplify 5 + 4 + (3 + sqrt(63))**2 + sqrt(63)/(sqrt(27)/sqrt(3)) + (sqrt(28) + sqrt(28) + sqrt(4032))/sqrt(4).
81 + 33*sqrt(7)
Simplify (3 + -6*-5*((sqrt(1053) + 1)*-4 + 4 + (sqrt(1053)*-1 - sqrt(1053)) + sqrt(1053)))**2.
-8100*sqrt(13) + 23692509
Simplify (1*-1*sqrt(33))/(sqrt(30)/(sqrt(10)*-2)) + (2 + sqrt(275)*-5)**2*-6.
-41274 + 602*sqrt(11)
Simplify (-2*(2*sqrt(153) + sqrt(153)) + 1*(sqrt(153) - ((sqrt(153)*-3 - sqrt(153)) + sqrt(153)) - sqrt(153) - sqrt(153)))/(-5*sqrt(900)*-4).
-sqrt(17)/50
Simplify -2 + sqrt(539) - 3*sqrt(11)*1 - (0 + sqrt(1100) + -1 + (-5 + 1 + sqrt(1100))**2).
-1117 + 74*sqrt(11)
Simplify ((sqrt(33)/(sqrt(3) - (sqrt(3) - (sqrt(96) - sqrt(6))/sqrt(2))) - -5*(-1 + sqrt(11) + -3))**2*3 + -3)*-2.
-12814/3 + 1280*sqrt(11)
Simplify (2 + 1 + sqrt(720) + 5 - ((sqrt(720) + -1*sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(720) + -2 - (2*sqrt(720) + 2)))*-1*3.
-72*sqrt(5) - 36
Simplify (-6*-3*(sqrt(8) + 0)**2 + -2*-6*(1 + sqrt(2))*-4)*1.
-48*sqrt(2) + 96
Simplify ((sqrt(110) - (sqrt(110)*2 + sqrt(110))*-1) + sqrt(110) - (2*-5*sqrt(110) + sqrt(110)))/(sqrt(20)/sqrt(200) - -2*sqrt(1000)).
140*sqrt(11)/201
Simplify (3 + 3*sqrt(325) + sqrt(325) + 0 + -6*(sqrt(325) + 4*sqrt(325))*6)**2.
-5280*sqrt(13) + 10067209
Simplify (1*(-4 + -4*(sqrt(1872) + 0 + sqrt(1872)) + sqrt(26)/sqrt(2)*3 + 4*sqrt(208)))**2 + 4.
616*sqrt(13) + 77097
Simplify ((5*sqrt(21)*-2)/(-4*sqrt(21)/sqrt(7)))**2 + (-2*(sqrt(70) + sqrt(70)*1 - sqrt(70)) - sqrt(70))/((sqrt(160)/sqrt(4))/sqrt(4))*-5.
15*sqrt(7) + 175/4
Simplify 1*(((-1*(sqrt(1053) - (1 + sqrt(1053))) + (sqrt(1053)*-2 - sqrt(1053))*-4)*2)**2*-5 + 1)*-3.
12960*sqrt(13) + 9097977
Simplify (-2*sqrt(1600))/((sqrt(20) - sqrt(180))/sqrt(4)) + 4 + -6*((-3*sqrt(5) + sqrt(5) + sqrt(5))*-6 + (sqrt(35)*3)/sqrt(7))**2.
-2426 + 8*sqrt(5)
Simplify (-1*sqrt(22)/sqrt(2) + sqrt(44) + -4)*3 + (sqrt(275) + 0)*-4 + (sqrt(275) - (sqrt(275) + 2*sqrt(275))) + 4.
-27*sqrt(11) - 8
Simplify (-1*sqrt(105)/(sqrt(12)/sqrt(4)*5))/(-3*sqrt(175)*-1*-5).
sqrt(5)/375
Simplify -6*((sqrt(68) + 1)*-4*-6 + (0 + (sqrt(2448) - -1*sqrt(2448)*3))**2).
-235152 - 288*sqrt(17)
Simplify (-2 + 2*4*((sqrt(396) + -1)*-6 + sqrt(396) - -5*(-2 + sqrt(396)))*3)**2.
9604
Simplify (sqrt(136) + (sqrt(136)*2 - sqrt(136))*5 + sqrt(136) - sqrt(136) - (sqrt(136) + -3*sqrt(136)*3 + sqrt(136)))/(-2*(sqrt(200) + 1*sqrt(200)*6))*-3.
39*sqrt(17)/70
Simplify (1 + -5*(4*(sqrt(44) - (sqrt(44)*-1 - sqrt(44)))*-3 - (5 + sqrt(132)/sqrt(192) + -4*sqrt(176))))**2.
14625*sqrt(11) + 13932691/16
Simplify 4*(1 + 3*sqrt(162) + (sqrt(504)*-3)/sqrt(7))**2*-5*-3.
1080*sqrt(2) + 9780
Simplify (3*(-1*sqrt(250))/sqrt(5))/((5*(sqrt(90) - sqrt(90)*-4))/sqrt(9)).
-3*sqrt(5)/25
Simplify -4*-1*(3*-1*(-1 + sqrt(405)*-1)*-3*-5)**2.
145800*sqrt(5) + 3288600
Simplify (4 + sqrt(275) + -4*(sqrt(275) + sqrt(275)*-2))**2 - ((sqrt(132) + 3*sqrt(132) + sqrt(132))/sqrt(12) + (sqrt(44)/sqrt(196) - sqrt(11))**2).
195*sqrt(11) + 337263/49
Simplify 0 + ((2 + sqrt(432)*-4 + sqrt(432) - 2*(sqrt(432) + -2))*2*-4)**2 + 0.
-46080*sqrt(3) + 693504
Simplify (1 + -4 + (sqrt(405) - sqrt(405)*-2) + 0 + 6*(-5 + 0 + sqrt(405)))**2 + -1.
-5346*sqrt(5) + 33893
Simplify (3 + (sqrt(13) + sqrt(13) + sqrt(78)/sqrt(6)*6 - sqrt(156)/(sqrt(48)/sqrt(4))) - (-3*sqrt(78)*1)/(sqrt(294) - sqrt(294)*-2))**2.
300*sqrt(13)/7 + 32941/49
Simplify (sqrt(1029) + sqrt(1029)*1)/sqrt(3) + -1 + -3 + ((-3 + sqrt(112) + 0)**2 - (5 + -2*sqrt(112))**2).
-356 + 70*sqrt(7)
Simplify ((sqrt(15) - sqrt(15)*-1)*-3 - sqrt(960))/(sqrt(432) + (sqrt(432)*-2 - sqrt(432)) - (sqrt(108)/sqrt(4) + sqrt(27))/sqrt(9)) + 3.
7*sqrt(5)/13 + 3
Simplify (((sqrt(245)*-2 + -2)*-4)**2*5 - ((-1 + (4*(1 + sqrt(245)) - sqrt(245)))*-2)**2) + 0.
3976*sqrt(5) + 69864
Simplify ((sqrt(6655) + -2*sqrt(6655) - sqrt(55)*-1*-3)*3)/(sqrt(11) + (-3*sqrt(704) - sqrt(704)) + (2*sqrt(44))/sqrt(4)).
42*sqrt(5)/29
Simplify (-5*-1*sqrt(88)*-1)/(sqrt(350)/((sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7))*3)).
-18*sqrt(11)
Simplify (3 + -6*(sqrt(175)*-3 - sqrt(175)) + 4 + 4*(2 + sqrt(175)) + (-2*sqrt(175) + sqrt(175))*1)**2.
4050*sqrt(7) + 127800
Simplify (6*(-4 + (sqrt(180) + sqrt(180) + 1 - sqrt(180)) + sqrt(180)) + (-2*sqrt(180) + sqrt(180))*-1 + 5)**2.
-2028*sqrt(5) + 30589
Simplify -5*(3 + -2 + (2*(sqrt(1216) + sqrt(1216) + 0)*-4 + 2)**2 + 1).
-1556510 + 2560*sqrt(19)
Simplify (5*sqrt(384)*-6*-5)/((1*sqrt(4356))/(sqrt(108)*-2)).
-7200*sqrt(2)/11
Simplify (-5*sqrt(567)*5*-3)/(-5*(sqrt(576) - (sqrt(576) - (1*sqrt(576) + sqrt(576)))*-4)).
15*sqrt(7)/8
Simplify (sqrt(33) + 1*sqrt(2673) - (-2*sqrt(396) - sqrt(396))/sqrt(12))/(sqrt(3) + sqrt(324)/sqrt(12) - 6*sqrt(15)/sqrt(5)).
-13*sqrt(11)/2
Simplify 3*((-5 + 5 + sqrt(180) + sqrt(180))**2 + (-3*sqrt(180)*-6)**2 + -1).
177117
Simplify ((sqrt(170) + sqrt(170)*4*3 - sqrt(170) - sqrt(170)) + sqrt(170) + (sqrt(170)*4 - sqrt(170))*-6)/(sqrt(160) + 4*sqrt(160)*-2 + -2*1*sqrt(160)).
sqrt(17)/6
Simplify ((5*sqrt(48) - (1*sqrt(432) - sqrt(432) - sqrt(432)))*1)/(sqrt(6) + sqrt(150) + (sqrt(150) + sqrt(150)*5 - sqrt(150)) + sqrt(54)/(sqrt(9)*-2)).
32*sqrt(2)/61
Simplify ((sqrt(114) - (sqrt(114) - sqrt(114)*-2 - sqrt(114) - sqrt(114)))*6 - (sqrt(114) + 2*sqrt(114))*6)/(-2*(sqrt(96) + -5*sqrt(96))) + 0.
-9*sqrt(19)/16
Simplify 3 + ((-1*sqrt(84)*-2)/sqrt(12) - (sqrt(7) + sqrt(175) + 1 + sqrt(175) + sqrt(84)/(sqrt(12)*1))) + 5.
-10*sqrt(7) + 7
Simplify -4*(-3 + (sqrt(1700) - 1*sqrt(1700))*5 - 3*(sqrt(1088) - (sqrt(1088) + -1))**2*4).
60
Simplify (1*sqrt(242) + sqrt(242))*3 + (sqrt(242) - (sqrt(242) - (0 + sqrt(242)*-3)))**2 - (0 + 2*2*sqrt(242) + -3).
22*sqrt(2) + 2181
Simplify ((-2*sqrt(65)*-1 - sqrt(65) - -3*(3*sqrt(65) - sqrt(65)))/((-4*sqrt(180) + sqrt(180) + sqrt(180))*6 + sqrt(180))*2)**2.
637/1089
Simplify (5 + -1 + 5*(-4*(sqrt(171) + (1 + sqrt(171) - sqrt(171))) + (sqrt(171)*-2 - sqrt(171)) + 4)**2)*2.
83798
Simplify (sqrt(42)/(-3*sqrt(3)) + (sqrt(56)/sqrt(144) - sqrt(14)))/((sqrt(1008) - (sqrt(1008)*-1 - sqrt(1008)))*5).
-7*sqrt(2)/1080
Simplify ((6*((sqrt(90) - (sqrt(90) + sqrt(90)*1 + sqrt(90))) + sqrt(90)))/(-2*(sqrt(3) - sqrt(9)/sqrt(3)) - sqrt(3)))/(-3*(sqrt(726)*-2 - sqrt(726))*2) + -2.
-2 + sqrt(5)/33
Simplify (1 + sqrt(162) - (-3 + sqrt(288) - sqrt(288))**2) + (-3 + sqrt(6)/sqrt(3) - (sqrt(16)/sqrt(2))/sqrt(4)).
-11 + 9*sqrt(2)
Simplify (((-6*(sqrt(50) - (1 + sqrt(50))) - (sqrt(450) + 3)) + (sqrt(14)/(sqrt(7)*-2) - (sqrt(242)*-1 + sqrt(2))))*-5)**2.
-825*sqrt(2) + 3475/2
Simplify -3*(((sqrt(25)/sqrt(5)*6 - (sqrt(5) + (sqrt(405)*-2 - sqrt(5)))) + (-1 + sqrt(20) - (-2 + sqrt(5)*1)))**2 + -2).
-9372 - 150*sqrt(5)
Simplify ((-4 + 4 + -1*sqrt(847))**2 + (-5*(0 + sqrt(847)) - sqrt(847)) + (-6*1*sqrt(847))**2)*-4*-1.
-264*sqrt(7) + 125356
Simplify ((0 + ((sqrt(1300) - (sqrt(1300) + 6*(sqrt(1300) - sqrt(1300)*-2))) + (sqrt(1300) - sqrt(1300)*-1) + -4 - 2*-2*sqrt(1300)*-2))*3)**2.
17280*sqrt(13) + 6739344
Simplify -5*(-5 + (3*(sqrt(1584) + sqrt(1584)*3 + sqrt(1584) - sqrt(1584)))**2 + -2 + (sqrt(1584)*3 + sqrt(1584))**2*2).
-1393885
Simplify (sqrt(143) + 3*sqrt(143)*5 + (-4*sqrt(143) + sqrt(143))*4)/(sqrt(1584) + (sqrt(1584) - (sqrt(1584) - 2*sqrt(1584)*1)) + 2*sqrt(1584)*-3).
-sqrt(13)/9
Simplify -3 + (-1 + -4 + -4*(sqrt(396)*1 + 0 - ((sqrt(396) - -2*sqrt(396)) + 2)))**2.
288*s
|
{
"pile_set_name": "DM Mathematics"
}
|
+ h**3 + 94*h + 35*h**2 - 86 - 2*h**3. What is the remainder when 147 is divided by t(37)?
6
Let h(a) = a - 35. Let q(j) = -2*j + 36. Let s(g) = -5*h(g) - 4*q(g). Let k be (-2)/6 + (-176)/(-24). Calculate the remainder when s(k) is divided by 11.
8
Let d = 3059 - 3057. Calculate the remainder when 72 is divided by d.
0
Let d(u) = -u**3 + 13 + u**2 + 18*u + 10*u**2 - 24*u. Suppose -2*o - 733 = -753. Calculate the remainder when 263 is divided by d(o).
51
Suppose -5*r - 2*t + 646 = 0, 193*t = -4*r + 198*t + 464. What is the remainder when 362 is divided by r?
110
Let p(r) = -10*r**3 + 3*r**2 + 5*r + 3. Let z be p(-3). Calculate the remainder when (159/(-12))/(2*(-16)/128) is divided by 2/(-4) + z/10.
25
Let o(v) = -132*v - 4030. Calculate the remainder when o(-35) is divided by 21.
2
Let p(k) = 4*k**2 - 47*k + 175. What is the remainder when 4326 is divided by p(6)?
34
Suppose 32*z - 35*z = -9. Suppose 0 = -k + 4*w - 47, 2*w - 64 = z*k + 67. Let h = k - -54. Calculate the remainder when 31 is divided by h.
9
Let t = -19160 + 19313. Calculate the remainder when 1069 is divided by t.
151
Suppose -5*m + 85 = -2*l, -68 = 4*m - 8*m - l. Calculate the remainder when 270 is divided by m*2/3*(-10 - -13).
32
Let d(n) = n**3 - 20*n**2 + 22*n - 62. Let w be d(19). What is the remainder when (w + 4)*((-290)/2 - -1) is divided by 17?
8
Suppose 4*f - 231 = -7*f. Suppose -f*s = -1506 - 18843. What is the remainder when s is divided by 54?
51
Let l = -75 + 66. Let k(u) = -u**2 - 12*u - 21. Let j be k(l). Suppose -5*g + j*t = t - 190, -t + 1 = 0. What is the remainder when g is divided by 21?
18
Let x be (2/3)/(16/72). Suppose 0 = x*j - 152 - 10. Suppose -4*c + 4*d + 10 = -6, -5*d + 36 = 2*c. Calculate the remainder when j is divided by c.
6
Let t(i) = -3*i - 4. Suppose -4*z - 2*d = -d + 17, 5*d = 5*z - 10. What is the remainder when 103*z*4/(-12) is divided by t(-10)?
25
Suppose -4*t + 0*t - 20 = 0. What is the remainder when -1*31/1*t is divided by (312/(-15))/((-6)/(-15)*-1)?
51
Let x = 13320 + -13210. Let i(k) = -k**2 + 7*k - 4. Let o be i(6). Suppose -78 = -5*y + o*c, -c = 5*y + 2*c - 58. What is the remainder when x is divided by y?
12
Let b(q) = q + 22. Let s be b(0). Suppose -g - 4*r + s = -12, 0 = r - 4. Suppose -g*y = -21*y + 63. Calculate the remainder when y is divided by 5.
1
Suppose -732 = -4*s - z, -s + 168 = 4*z - 30. Calculate the remainder when 5636 is divided by s.
176
Suppose 42 = 3*x - 2*p, p = 5*x + 3*p - 54. Suppose -2*f = 2*o - 14, -4*f + 5*o = o + x. Suppose i - 2 - f = 0. Calculate the remainder when 15 is divided by i.
3
Suppose 5*o = 4*o + 54. Let q be 2 + (-4)/18 + (-2544)/(-27). Suppose 8*r - 3*r = -4*f + q, 3*r + f - 59 = 0. Calculate the remainder when o is divided by r.
14
Calculate the remainder when 200 is divided by (-28428)/(-360) - 10/(-300).
42
Let n(s) = -6*s - 21. Let u = -88 + 83. Suppose 2*g - 53 - 71 = 0. Calculate the remainder when g is divided by n(u).
8
Let f(w) = -w**3 + 166*w**2 + w + 283. Calculate the remainder when f(166) is divided by 113.
110
Suppose 4*k + 15 = 5*k. Calculate the remainder when (-430)/(-2) - 32*(-16)/(-64) is divided by k.
12
Suppose 201*v - 198*v = 39. Suppose 2*f = f + 35. What is the remainder when f is divided by v?
9
Let a = 12 - -5. Let v = 1605 - 1540. Calculate the remainder when v is divided by a.
14
Suppose -22*f + 16*f + 13600 = 4*x, -3*x = -f + 2296. Calculate the remainder when f is divided by 9.
4
Let k = -381 + 381. Suppose -7*i + 2163 = -k*i. Calculate the remainder when i is divided by 24.
21
Calculate the remainder when 1080 is divided by 0 + 12 + -29 + 49.
24
Suppose 2*b - 3*m - 41 = 0, 5*b - 2*m - 43 - 65 = 0. Calculate the remainder when b/(-8)*(-5 - 15) is divided by 11.
0
Suppose -205*x - 1341 + 2093 = -1913. Calculate the remainder when 583 is divided by x.
11
Suppose -4*b + 12 = 2*r, -4*r + r - 4*b = -14. Suppose -4*k + 4 = r*o, 0 = 4*o - 11*k + 15*k - 12. Calculate the remainder when 41 is divided by o.
1
Suppose -2*x + 3 = h + x, -h + x + 11 = 0. Let d = -233 + 157. Let a = d - -93. What is the remainder when a is divided by h?
8
Suppose -a - 2 = a. Calculate the remainder when (-6 + 5)*-11 + -9 - -6 is divided by (1/(-3))/(a/6).
0
Let t = -4422 + 4453. Calculate the remainder when 71 is divided by t.
9
Suppose -4*i + 0*i = -368. Let m(k) = -4*k + 241. What is the remainder when m(-31) is divided by i?
89
Let r = 285 + -188. Let j = -66 + r. Let f(a) = -3*a**3 - a**2 + 127*a + 246. What is the remainder when j is divided by f(-2)?
7
Calculate the remainder when (2 + (-1222)/8)*1*(-164)/123 is divided by 72.
57
Let b(n) = 17 - 5*n - n**3 - 16 + 18*n**2 + 10. Let i be b(18). Let f = i - -93. Calculate the remainder when 207 is divided by f.
11
Let m(d) = -2*d - 13. Let a be m(-6). Let u = 44 - a. Suppose -12 = 4*n, -8*k + 9*k = -n + 131. Calculate the remainder when k is divided by u.
44
Suppose -212 = -44*w - 80. Suppose -3*k + 283 = 4*a, k + w*a - 479 = -4*k. Calculate the remainder when k is divided by 10.
7
Let w(z) = -832*z - 442574. Suppose -5*u = 13 + 142. Let h = u + 45. Calculate the remainder when w(-532) is divided by h.
8
Let n(p) = 3*p**2 + 3*p + 4. Calculate the remainder when n(-5) is divided by ((-7 + -231)/7)/(-2).
13
What is the remainder when 2577 is divided by (-1 + (-6)/4)/(-9 + (-47985)/(-5334))?
37
Let b = -79 - -70. Let k be (3 - b/(-2))*6/(-1). What is the remainder when 12 is divided by k + 0 - (-2 + 6)?
2
Suppose -112 - 168 = -56*h. Suppose -4*d = -3*d - 189. Suppose -d = -h*z - 59. What is the remainder when 75 is divided by z?
23
Suppose -4*d + 145 = 61. Let l(x) = -3*x**2 + 65*x - 29. What is the remainder when 31 is divided by l(d)?
5
Suppose w - 3 = -r, w + 5*r - 27 = -8. What is the remainder when (-8 + 189)*(3/w - -4) is divided by 14?
13
Let v = 21063 - 20971. What is the remainder when 549 is divided by v?
89
Let t(a) = 4*a + 135. Let f(v) = v**2 + 18*v + 32. Let q be f(-16). Let i be t(q). Suppose -19*m = -16*m - i. What is the remainder when 223 is divided by m?
43
Suppose -2*g + 3*y = 2*y - 31, 3*g + 5*y = 40. Calculate the remainder when (((-4)/40)/((-58)/3915))/(3/132) is divided by g.
12
Calculate the remainder when 48/(-128) - 16358/(-16) - (-8 - -3) is divided by 86.
81
Let i = -90 + 98. Calculate the remainder when 59 is divided by -10*7/((-28)/i).
19
Let d(c) = -c**3 + 13*c**2 - 11*c + 6. Let w(r) = -21*r + 408. Calculate the remainder when d(11) is divided by w(18).
7
Suppose 9 = 3*o - 3, 0 = 4*f + 2*o - 1060. Calculate the remainder when 21826 is divided by f.
260
Let o be -4*(-5)/(-80) + 2/8. Suppose 22*j - 21*j - 61 = o. Calculate the remainder when j is divided by 16.
13
Let v be (-3)/1 + 16 + -4 + -6. Suppose 0 = -3*d + 2*y + 2, -1 = d + 3*y + 13. What is the remainder when 55 is divided by 205/10 + v/d?
17
Calculate the remainder when 1830 is divided by (-13)/((-221)/10557) - 12.
3
Suppose 3*k - 5*n = 88, n + 0 = -2*k + 37. Suppose -d - 6*m + 58 = -3*m, -4*m + 4 = 0. What is the remainder when d is divided by k?
13
Let d = 41 + -28. Suppose 19*q - 28 = 352. Calculate the remainder when 10 + q - 8/(-2) is divided by d.
8
Suppose 180 = h + 8*h. Let y(t) = t**2 - 17*t + 125. Calculate the remainder when y(6) is divided by h.
19
Let y be (-12)/9*9/(-4). Suppose -2*w + 70 = y*w. Calculate the remainder when (-1076)/(-16) + 6/(-24) is divided by w.
11
Let s(j) = -247*j - 1352. Calculate the remainder when s(-8) is divided by 26.
0
Suppose 13*v - v = 240. Suppose -4*k - 5*b = 35, -v = 7*k - 6*k - b. Let z(w) = w**3 + 14*w**2 - 18*w - 21. What is the remainder when 59 is divided by z(k)?
11
Calculate the remainder when (-18792)/348*1874/(-12) is divided by 76.
73
Let c be 472120/1210 + 4/(-22). Let p = c - 354. Suppose 3*a + 3*d = 762, a + d - 4*d - 242 = 0. What is the remainder when a is divided by p?
35
Suppose -3*v - 4*d + 55 = 0, 2*v - 35 = v + 2*d. Calculate the remainder when -2 + 28/12 - 580/(-6) is divided by v.
22
Let h = -41 - -37. Let n be ((-1032)/16)/((-2)/h). Let t = n + 194. What is the remainder when t is divided by 25?
15
Suppose 0 = w + 4*t - 17, 6*w + 23*t - 21*t = 80. Calculate the remainder when 334 is divided by w.
9
Let x = 108 - -16. Suppose x + 62 = 3*g. What is the remainder when g is divid
|
{
"pile_set_name": "DM Mathematics"
}
|
3 (base 13) in base 14?
-1627
What is 6100 (base 7) in base 8?
4073
Convert 10bd (base 14) to base 5.
43121
What is -40ac (base 14) in base 12?
-6534
-11404 (base 5) to base 4
-31112
-407 (base 9) to base 3
-110021
13817 (base 12) to base 9
41141
10044 (base 5) to base 2
1010001001
986b (base 12) to base 14
6191
Convert 1604 (base 10) to base 5.
22404
What is -119 (base 12) in base 2?
-10100101
b044 (base 15) to base 16
9145
What is -24160 (base 7) in base 3?
-22121001
Convert 100111100 (base 2) to base 13.
1b4
What is 130 (base 8) in base 2?
1011000
28250 (base 9) to base 11
1343a
What is -3409 (base 16) in base 15?
-3e31
1100100011000 (base 2) to base 10
6424
41224 (base 5) to base 2
101010000001
-74a8 (base 11) to base 14
-3887
Convert 2d36 (base 16) to base 9.
16780
2ff (base 16) to base 10
767
Convert -201100 (base 4) to base 6.
-13504
-12203 (base 5) to base 3
-1021101
-17d0 (base 15) to base 11
-3958
What is 71450 (base 8) in base 7?
151643
9a8 (base 11) to base 10
1207
Convert -249 (base 14) to base 12.
-321
279 (base 14) to base 7
1312
141203 (base 5) to base 9
7857
2904 (base 12) to base 9
6464
Convert cde (base 15) to base 4.
231131
What is 870 (base 12) in base 2?
10011010100
What is 72 (base 11) in base 4?
1033
Convert 14010 (base 7) to base 4.
323010
-33 (base 15) to base 6
-120
-101222 (base 7) to base 15
-51ae
What is 12224 (base 12) in base 14?
8d08
Convert -899c (base 14) to base 11.
-16a16
842 (base 9) to base 11
574
-1a6 (base 11) to base 8
-355
What is -270 (base 11) in base 8?
-477
-4413 (base 11) to base 14
-219c
What is -22 (base 14) in base 16?
-1e
Convert -3a53 (base 12) to base 2.
-1101000011111
What is 432 (base 12) in base 6?
2502
-11111001 (base 4) to base 10
-21825
Convert -7469 (base 15) to base 11.
-17556
Convert -16574 (base 9) to base 8.
-26217
What is 60026 (base 7) in base 2?
11100001011010
What is 100111010011 (base 2) in base 15?
b2a
What is 7285 (base 10) in base 9?
10884
What is -41a2 (base 11) in base 5?
-134212
Convert 9969 (base 15) to base 3.
1122120200
1010000010001000 (base 2) to base 10
41096
Convert -110101010100 (base 2) to base 13.
-1726
-365 (base 11) to base 7
-1160
Convert 1202 (base 6) to base 8.
442
-1237 (base 9) to base 7
-2461
What is 101100010 (base 2) in base 10?
354
3605 (base 11) to base 9
6428
1261 (base 7) to base 6
2124
112003 (base 5) to base 2
111110100011
What is -13d1 (base 14) in base 16?
-dbb
Convert -16661 (base 8) to base 6.
-55105
-5a86 (base 11) to base 15
-2559
What is 18236 (base 11) in base 7?
134356
Convert 44201 (base 5) to base 6.
22043
56240 (base 8) to base 4
11302200
Convert -30042 (base 5) to base 4.
-131221
Convert -11011101001 (base 2) to base 8.
-3351
What is 3821 (base 15) in base 8?
27264
What is -2821 (base 9) in base 8?
-4115
-619 (base 12) to base 14
-473
What is -969 (base 14) in base 15?
-83c
-445045 (base 6) to base 7
-214013
-332 (base 9) to base 6
-1132
What is -358 (base 9) in base 5?
-2141
-1069 (base 11) to base 6
-10302
What is 63 (base 14) in base 6?
223
-616 (base 9) to base 3
-200120
Convert 11000100100010 (base 2) to base 11.
94a5
What is 100100101 (base 2) in base 16?
125
Convert -14133 (base 5) to base 2.
-10010010000
-37b3 (base 14) to base 6
-113105
Convert -1000000000 (base 2) to base 5.
-4022
4234 (base 12) to base 6
53304
Convert 100010 (base 2) to base 6.
54
What is -7211 (base 8) in base 7?
-13564
302 (base 11) to base 2
101101101
What is -246 (base 13) in base 16?
-18c
Convert 1100111111 (base 2) to base 4.
30333
Convert -121112202 (base 3) to base 16.
-2f1e
-1273 (base 11) to base 7
-4551
-5503 (base 10) to base 2
-1010101111111
-2998 (base 14) to base 8
-16332
What is 1270 (base 9) in base 4?
32322
What is -21205 (base 10) in base 14?
-7a29
-435 (base 9) to base 8
-544
-2464 (base 11) to base 5
-100331
What is -3024023 (base 5) in base 8?
-136776
What is -743 (base 11) in base 14?
-47c
What is 2022331 (base 4) in base 11?
6755
What is cda (base 14) in base 5?
40134
1d0 (base 15) to base 12
2b0
Convert 4ce (base 16) to base 13.
738
-81 (base 13) to base 14
-77
Convert 101011011100111 (base 2) to base 14.
8171
Convert -21de (base 15) to base 3.
-100212002
Convert -6335 (base 13) to base 12.
-7b45
Convert -780 (base 9) to base 10.
-639
What is 1095 (base 10) in base 9?
1446
What is 46489 (base 10) in base 6?
555121
Convert 32064 (base 11) to base 7.
253010
What is 51416 (base 8) in base 10?
21262
What is -68312 (base 10) in base 16?
-10ad8
-4fc (base 16) to base 8
-2374
What is 9b8 (base 12) in base 3?
1222012
Convert -120102101 (base 3) to base 16.
-2bea
Convert -1ab22 (base 14) to base 15.
-15262
-211 (base 13) to base 10
-352
What is -75056 (base 10) in base 16?
-12530
23311001 (base 4) to base 15
e54e
What is -a7b (base 13) in base 16?
-700
22c (base 14) to base 9
530
What is 4016 (base 10) in base 5?
112031
-1a7 (base 11) to base 13
-154
Convert -18764 (base 9) to base 10.
-13018
Convert 2121201 (base 3) to base 10.
1909
-6005 (base 16) to base 10
-24581
What is -10222202 (base 3) in base 10?
-2909
Convert 265a (base 14) to base 2.
1101001011000
Convert 101111000110110 (base 2) to base 11.
17136
What is 1001011010 (base 2) in base 15?
2a2
Convert -7b3 (base 12) to base 7.
-3222
What is -1032 (base 12) in base 6?
-12102
1011110110100 (base 2) to base 12
3618
100101111 (base 3) to base 4
1222330
Convert -31b (base 12) to base 3.
-121212
What is 462 (base 7) in base 10?
240
Convert -114121 (base 5) to base 8.
-10276
Convert -66761 (base 8) to base 7.
-145025
Convert -17235 (base 10) to base 4.
-10031103
What is -429 (base 15) in base 14?
-4b1
What is 240013 (base 5) in base 4?
2020312
Convert 554 (base 9) to base 16.
1c6
1d90 (base 14) to base 2
1010100101010
What is -a72 (base 12) in base 13?
-905
Convert 9c86 (base 13) to base 7.
120611
-9aa (base 13) to base 3
-2021112
What is 489 (base 11) in base 12?
405
Convert -2000002 (base 4) to base 5.
-230234
-70270 (base 8) to base 5
-1410411
Convert 362 (base 15) to base 16.
2ff
What is 103241 (base 5) in base 12?
2097
Convert b05 (base 15) to base 10.
2480
Convert -377 (base 11) to base 8.
-677
What is -21020 (base 4) in base 13?
-35c
What is -1022022110 (base 3) in base 15?
-7963
What is 589 (base 16) in base 10?
1417
Convert 10002100 (base 3) to base 4.
203022
What is -310133 (base 5) in base 12?
-598b
-8683 (base 9) to base 7
-24432
-1038 (base 11) to base 10
-1372
What is -100011111 (base 2) in base 6?
-1155
Convert -10210102 (base 3) to base 4.
-223031
-1012201000 (base 3) to base 11
-16a04
What is -57750 (base 9) in base 14?
-10076
What is 25 (base 15) in base 6?
55
Convert 221 (base 10) to base 15.
eb
-1444330 (base 5) to base 8
-74757
Convert -1641 (base 7) to base 4.
-22122
Convert 5314 (base 6) to base 4.
102232
2bb1 (base 14) to base 4
1321313
What is a9f (base 16) in base 11?
2052
What is -2015 (base 6) in base 13?
-281
10434 (base 5) to base 11
617
What is 1000022022 (base 3) in base 6?
232055
What is -18 (base 16) in base 7?
-33
2114434 (base 5) to base 2
1000101100100011
What is 726 (base 11) in base 3?
1012102
What is -1a1 (base 11) in base 5?
-1412
What is -310011 (base 4) in base 13?
-1695
What is -354400 (base 6) in base 13?
-11046
What is 10000111101 (base 2) in base 16?
43d
-5ed6 (base 15) to base 5
-1121401
What is 209 (base 12) in base 7?
603
11302 (base 4) to base 14
1c6
Convert -12a0 (base 12) to base 4.
-201120
-8a15 (base 16) to base 13
-13122
7580 (base 13) to base 12
9548
1000010110011 (base 2) to base 3
12212100
What is 12022101 (base 3) in base 14?
15a7
33a3 (base 11) to base 13
205a
Convert -1120211212 (base 3) to base 5.
-1444420
-20220111 (base 3) to base 14
-1b99
What is -1dc (base 14) in base 16?
-186
-22122112 (base 3) to base 15
-1d05
What is 1002112 (base 3) in base 13?
494
What is 1125440 (base 6) in base 7?
331614
Convert 45a7 (base 11) to base 2.
1011110011110
What is -605 (base 10) in base 8?
-1135
Convert -546 (base 7) to base 6.
-1143
b01 (base 13) to base 5
24420
What is 21211200 (base 3) in base 10?
5715
1110010000111 (base 2) to base 7
30202
Convert -101123 (base 4) to base 10.
-1115
What is -2159a (base 11) in base 16?
-7a5f
89b (base 16) to base 4
202123
What is -9356 (base 11) in base 13?
-5851
Convert -12401 (base 7) to base
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the remainder when 23 is divided by 28/5 - 2/(-5)?
5
Suppose -2*v - 4*n = -14, 8*v - 3*n = 3*v + 22. Suppose t - 14 = -3*i, t + 13 = v*i + 67. Calculate the remainder when t is divided by 10.
9
Suppose z + x - 1 = 6*x, 4*z + 2*x = 114. What is the remainder when z is divided by 9?
8
Suppose 4*x = -4*i + 64, -34 = -4*x + 4*i - 2. Let d = 22 - x. Calculate the remainder when 18 is divided by d.
8
Let k be -1 - 1*103*-2. Calculate the remainder when k/5 + 1 + -1 is divided by 11.
8
Calculate the remainder when 517/11 - -1*-1*3 is divided by 32.
12
Suppose 0 = -d - 3*d + 4*u + 108, 6 = -2*u. Calculate the remainder when d is divided by 5.
4
Let i = -4 + 12. What is the remainder when 15 is divided by i?
7
Let w be 5 + -3 + 1 - 3. Let a = -17 - -28. Suppose 4*z - 93 - a = w. Calculate the remainder when z is divided by 9.
8
Let r(g) = 2*g**2 + 4*g + 1. Let h(q) be the second derivative of q**4/6 - q**3 - 2*q**2 + 2*q. Calculate the remainder when r(-5) is divided by h(5).
15
Suppose -6*q = -f - q - 1, -q = -1. What is the remainder when f is divided by 2?
0
Let a = 49 - 35. Calculate the remainder when -25*((-39)/15 + 1) is divided by a.
12
Let i(r) = -r**3 + r**2. Let v be i(0). Let c = 21 - v. Suppose -3*f - 10 + 43 = 0. Calculate the remainder when c is divided by f.
10
Let d = 38 - 25. Let t(o) = 38*o**2 - 1. Let n = -2 + 1. What is the remainder when t(n) is divided by d?
11
Suppose 2*p = 5*p - 36. Calculate the remainder when ((-248)/(-12))/1 + 2/6 is divided by p.
9
Suppose -16 = 4*m - 0*m. Let g(q) = 2*q**2 + 6*q + 2. Calculate the remainder when g(m) is divided by 6.
4
Let s(l) = -2*l**3 - 10*l**2 - 14*l - 37. Calculate the remainder when s(-6) is divided by 32.
23
Suppose -9 = -2*z - 3*l, 4*z + l + 3*l - 8 = 0. Suppose 0 = -s + 1 + 49. What is the remainder when 10 is divided by (-2)/z + s/15?
2
Let h(u) = 2*u. Let v = 3 - 1. Let w be h(v). Suppose 5*n = -w*f + 241, 5*n - 95 = 3*n - 3*f. Calculate the remainder when n is divided by 17.
15
Let d = -205 + 302. What is the remainder when d is divided by 10?
7
Let n be 1/(-2) + (-74)/(-4). Suppose -n = -m - 0. Calculate the remainder when 53 is divided by m.
17
Suppose 18*q - 265 = 13*q. What is the remainder when 103 is divided by q?
50
Let d = 0 - -17. Suppose 2*y - d = -5. Calculate the remainder when y is divided by 4.
2
Let k = 4 - 5. Let b be 35 - 9/3 - k. Let j = b + -10. What is the remainder when j is divided by 12?
11
Let v(n) = n**2 - 2*n - 16. What is the remainder when v(9) is divided by 7?
5
Let b(g) = 4*g**2 - g + 2. Let m(p) = -14*p - 7. Let y be m(-5). What is the remainder when b(3) is divided by y/6*(-36)/(-21)?
17
What is the remainder when -4 + (47 + -3 - 0 - -3) is divided by 28?
15
Suppose 3*t - 8 = -3*n + 19, -5*t + 5*n = -25. Calculate the remainder when 25 is divided by t.
4
Suppose -6 = -h - 0*h. Suppose 2*v - 7 + 3 = 0. Calculate the remainder when h is divided by v.
0
Let n = -22 - -38. Let r(q) = -q**2 + 12*q - 5. What is the remainder when r(7) is divided by n?
14
Let x = -90 - -114. What is the remainder when 92 is divided by x?
20
Let g(a) = -a**2 + 31*a + 39. What is the remainder when g(30) is divided by 7?
6
Let g(n) = n**3 + n**2 + 1. What is the remainder when (-4)/(-14) - (-682)/14 is divided by g(2)?
10
Suppose -4*k + k = -51. Calculate the remainder when 50 is divided by k.
16
Let f = 8 - -8. Calculate the remainder when 61 is divided by f.
13
Let t(d) = -3*d - 2*d**2 + 11*d**2 - 2*d**2 + 4*d + 1 - d**3. Calculate the remainder when t(7) is divided by 3.
2
Let p(f) = -f**2 - 9*f - 7. Calculate the remainder when 24 is divided by p(-7).
3
Let p = -3 - 10. Let j = -9 - p. Suppose 0 = -j*a + 3*a + 19. Calculate the remainder when 37 is divided by a.
18
Suppose -4*k - 170 = -5*i - 9*k, 0 = -5*k - 10. Suppose h = -h + i. Calculate the remainder when h is divided by 10.
8
Let v = -83 + 134. Suppose -6*m + 3*i = -m - 13, 0 = 2*m - 5*i - 9. Suppose -m*z = 2*z - 52. What is the remainder when v is divided by z?
12
Let a(l) = -l - 6. Let w be a(-6). Suppose 3*t = w, 95 = 3*j + 2*j - 4*t. Calculate the remainder when 37 is divided by j.
18
Suppose 2*p + 0*p - 16 = 0. What is the remainder when 31 is divided by p?
7
Suppose -5*u = 3*m + 12, -2*u = -u + 5*m - 2. Let y(p) be the third derivative of -p**4/3 - p**3/3 + 2*p**2. What is the remainder when y(u) is divided by 8?
6
Let x(p) = -p**3 + 11*p**2 + 11*p + 10. Let u be x(12). What is the remainder when ((-120)/18)/(u/3) is divided by 6?
4
Suppose -2*q + j + 3*j + 76 = 0, 0 = q + 4*j - 38. Calculate the remainder when q is divided by 13.
12
Let f(h) = -h**3 + 7*h**2 + 8*h + 2. Let b be f(8). Let r(x) = x**3 - 6*x**2 + 2*x + 8. What is the remainder when r(6) is divided by b/(-3)*(-99)/6?
9
Let j = -15 + 17. Suppose -j*l - l = -57. Calculate the remainder when 74 is divided by l.
17
Let k = -51 - -95. Let z = -3 - -1. Calculate the remainder when k is divided by ((-26)/z - -2) + 0.
14
Let l = 119 - 105. What is the remainder when 47 is divided by l?
5
Let x(g) = -g + 9. Let h = 13 + -8. What is the remainder when h is divided by x(7)?
1
Suppose 8*b = 3*b + 15. Suppose -2*t = 10, -28 - 73 = b*g - 2*t. Let a = g - -60. Calculate the remainder when 67 is divided by a.
21
Suppose 0 = 9*n - 13*n + 192. Calculate the remainder when n is divided by 26.
22
Let b(s) = s**2 - 4*s - 3. Let z be b(5). Suppose -t + 0*l = -2*l + 4, 5*l = z*t + 10. Suppose t = u - 8 + 3. Calculate the remainder when 8 is divided by u.
3
Suppose 5*f - 81 = 4. Calculate the remainder when 99 is divided by f.
14
Suppose -3*m - 2*m = -15, -5*y - 7 = m. Let x(z) = z**3 - 5*z**2 + z. Let b be x(5). Let a = b + y. Calculate the remainder when 4 is divided by a.
1
Suppose 3*h - 16 - 8 = 0. Let b(o) = -o**2 + 10*o - 1. What is the remainder when b(h) is divided by 8?
7
Let d = -9 - -34. Let t = 1 + 1. Suppose 9 = t*c - c. What is the remainder when d is divided by c?
7
Let q(r) = 2*r + 3*r**2 - r - 4*r. Suppose 4*z + 2*a = -z + 4, -5*a - 15 = 0. Calculate the remainder when q(z) is divided by 4.
2
Suppose -64 = u - 3*u. Suppose -2*l + 14 = 2*x, x + 3*x = -2*l + u. What is the remainder when 17 is divided by x?
8
Let v = -3 + -3. What is the remainder when 17 is divided by 10/v*(-3 - 0)?
2
Let o = 15 - 3. Suppose 4*j = -v + 91, -2*j - 4*v - 14 + 70 = 0. What is the remainder when j is divided by o?
10
Let o = 21 + -10. Let b = 19 - o. Calculate the remainder when 29 is divided by b.
5
Suppose y = 5*s + 48, -y + 60 = -2*s + 3*s. What is the remainder when y is divided by 21?
16
Suppose -39 = -3*z - p, 5*z - 4*p - 82 = -0*p. Suppose 4*y + 2 = z. Let a(c) = c**3 - c**2 - 3*c - 1. What is the remainder when a(3) is divided by y?
2
Suppose 0 = 4*d - 12 - 12. Suppose h - d = 4*h. Let m(q) = -6*q - 1. Calculate the remainder when 20 is divided by m(h).
9
Suppose -2*i + 2 + 12 = -4*q, 4*i + 2*q = 8. Suppose -3*u - i*t = -27, 5*t + 43 = 6*u - 3*u. What is the remainder when 30 is divided by u?
8
Suppose 4*i = 131 - 15. What is the remainder when 114 is divided by i?
27
Let k(t) = t**3 - 4*t**2 + 2*t + 4. What is the remainder when 21 is divided by k(4)?
9
Let d = 18 - 82. Let r = -43 - d. Calculate the remainder when 62 is divided by r.
20
Let v be (-21)/(-9) + (-2)/(-3). Suppose 4*a + v*m = 57, 7*m - 3*m - 12 = 0. Suppose -6*l = -67 - 59. Calculate the remainder when l is divided by a.
9
Suppose -50 = -5*j - 2*a - 0, 0 = 2*j - a - 11. Suppose -4*d = -j - 32. Calculate the remainder when d is divided by 6.
4
Suppose -6*p + 61 = 25. What is the remainder when 2/(-10) + 86/5 is divided by p?
5
Suppose 0 = 4*x - 26 - 6. Let l = -12 - -15. Suppose 2*k - k - l = 0. Calculate the remainder when x is divided by k.
2
Let w = -114 + 190. Suppose 0 = -0*u + 4*u - w. Calculate the remainder when u is divided by 11.
8
Suppose -u - 44 = -5*u. Suppose -u = 2*p - 3*p. Calculate the remainder when p is divided by (-1 - 2)/((-6)/8).
3
Let k = -45 - -69. Suppose -2*o + 5*o = k. Let v = 22 - o. What is the remainder when 40 is divided by v?
12
Suppose 4*o + 8*x = 3*x + 114, o = 5*x + 16. Calculate the remainder when 207 is divided by o.
25
Let p(a) = a + 8. Let f = -8 - -4. What is the remainder when 11 is divided by p(f)?
3
Suppose 3*z = 2*g + 79, 4*z - 18 - 2 = 0. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
four letters picked without replacement from {e: 3, f: 17}.
4/285
Calculate prob of sequence syyr when four letters picked without replacement from ooysyoooooyyr.
1/1430
Calculate prob of sequence qt when two letters picked without replacement from oqtdottntt.
1/18
Three letters picked without replacement from bvkwbbbbmmvkkmbkhbkb. What is prob of sequence mkb?
1/57
Two letters picked without replacement from irrdidiiiiriiiir. What is prob of sequence rd?
1/30
Two letters picked without replacement from qvoq. What is prob of sequence oq?
1/6
Calculate prob of sequence me when two letters picked without replacement from {h: 7, e: 6, m: 1, l: 4}.
1/51
Two letters picked without replacement from mmeaeaae. Give prob of sequence am.
3/28
Two letters picked without replacement from {n: 6, d: 3, c: 1, f: 3, b: 1}. What is prob of sequence cb?
1/182
What is prob of sequence wzw when three letters picked without replacement from wwwwzzzwwzzwzwwwww?
11/68
Three letters picked without replacement from {f: 2, v: 16}. Give prob of sequence vvv.
35/51
Calculate prob of sequence guug when four letters picked without replacement from {i: 1, g: 2, u: 13, a: 1}.
13/2380
Two letters picked without replacement from {q: 2, h: 3}. Give prob of sequence qh.
3/10
Two letters picked without replacement from fwwfkfpkkw. Give prob of sequence pw.
1/30
Three letters picked without replacement from cccccccclcccccplpccl. What is prob of sequence cpc?
7/114
Two letters picked without replacement from dxsnw. What is prob of sequence sw?
1/20
Two letters picked without replacement from jsjs. What is prob of sequence ss?
1/6
Four letters picked without replacement from {j: 1, m: 1, g: 3, t: 4, c: 4}. What is prob of sequence ttjc?
2/715
Two letters picked without replacement from kypykkypppgggkykkyy. Give prob of sequence ky.
2/19
What is prob of sequence qhr when three letters picked without replacement from {t: 6, r: 2, h: 2, q: 3}?
1/143
Two letters picked without replacement from {n: 2, s: 6, o: 4}. What is prob of sequence nn?
1/66
What is prob of sequence wwn when three letters picked without replacement from wnwwn?
1/5
Calculate prob of sequence gjjx when four letters picked without replacement from gjgxjjgjxjgggjjgjj.
7/510
Calculate prob of sequence ho when two letters picked without replacement from oeehh.
1/10
What is prob of sequence pl when two letters picked without replacement from lpllgcppplpppupgp?
9/68
Calculate prob of sequence bat when three letters picked without replacement from ttdttabb.
1/42
Four letters picked without replacement from dbftzaz. Give prob of sequence tbaf.
1/840
Three letters picked without replacement from ppoeeej. Give prob of sequence oee.
1/35
Calculate prob of sequence lr when two letters picked without replacement from {c: 1, x: 1, l: 1, f: 2, r: 1, y: 1}.
1/42
Calculate prob of sequence mg when two letters picked without replacement from {g: 1, o: 6, n: 2, m: 3, f: 1}.
1/52
What is prob of sequence hut when three letters picked without replacement from {u: 1, o: 1, h: 1, t: 2, x: 1, w: 1}?
1/105
Four letters picked without replacement from {l: 4, h: 1, e: 9, k: 3, f: 1}. Give prob of sequence ehll.
1/680
Three letters picked without replacement from {y: 1, m: 3, v: 3, t: 3}. Give prob of sequence vyt.
1/80
What is prob of sequence df when two letters picked without replacement from efjffffkdejdkejffe?
7/153
Calculate prob of sequence vw when two letters picked without replacement from vxvvwwwxvq.
2/15
Three letters picked without replacement from oofoffofoo. What is prob of sequence fff?
1/30
Four letters picked without replacement from {r: 7, k: 1, u: 4, i: 6, j: 2}. Give prob of sequence ijki.
1/1938
Calculate prob of sequence lgxl when four letters picked without replacement from mlgrslxllgxgmsr.
1/455
Calculate prob of sequence vz when two letters picked without replacement from evveovvz.
1/14
Two letters picked without replacement from {r: 3, g: 4, e: 9}. What is prob of sequence er?
9/80
Three letters picked without replacement from ahpaohaaahoapaahahpa. Give prob of sequence paa.
3/76
Three letters picked without replacement from {k: 5, g: 3, p: 1, m: 2, h: 7}. Give prob of sequence mhm.
7/2448
Two letters picked without replacement from {w: 5, i: 4, y: 1, o: 2, v: 2, e: 1}. Give prob of sequence iy.
2/105
Two letters picked without replacement from {t: 2, f: 3, d: 1, h: 3, e: 4, w: 3}. Give prob of sequence ht.
1/40
Three letters picked without replacement from {c: 5, j: 1, l: 12}. What is prob of sequence lcc?
5/102
What is prob of sequence iiij when four letters picked without replacement from jiiiiijjijjjjjiijii?
45/646
Three letters picked without replacement from {e: 8, h: 1, s: 3, k: 5, p: 3}. What is prob of sequence ess?
2/285
Calculate prob of sequence lln when three letters picked without replacement from llnlnlnnnn.
1/10
What is prob of sequence geom when four letters picked without replacement from {m: 6, e: 4, d: 2, g: 1, o: 4}?
1/595
Calculate prob of sequence ehbz when four letters picked without replacement from nneerhnrenenzbrrezrh.
1/5814
Calculate prob of sequence tfun when four letters picked without replacement from tnustuntfnt.
1/330
Two letters picked without replacement from {b: 2, y: 3}. What is prob of sequence by?
3/10
Two letters picked without replacement from mggggmgmgmgtggigm. What is prob of sequence mt?
5/272
Calculate prob of sequence cci when three letters picked without replacement from {c: 3, i: 2}.
1/5
Two letters picked without replacement from {w: 1, s: 1, l: 2, c: 2}. What is prob of sequence cw?
1/15
Calculate prob of sequence qt when two letters picked without replacement from {q: 1, d: 1, t: 1, w: 1, e: 6, y: 1}.
1/110
Calculate prob of sequence dbb when three letters picked without replacement from bbdbddbbdbbd.
7/44
What is prob of sequence bb when two letters picked without replacement from bybiiiibbbibibiiiiii?
21/190
What is prob of sequence uu when two letters picked without replacement from iiiuuiii?
1/28
Two letters picked without replacement from hhgw. Give prob of sequence wg.
1/12
What is prob of sequence eoop when four letters picked without replacement from {e: 2, z: 1, p: 2, o: 4}?
1/63
Calculate prob of sequence ii when two letters picked without replacement from ilixilulitct.
1/11
Four letters picked without replacement from ffeefnnfffnfffffeefn. Give prob of sequence efne.
8/1615
Two letters picked without replacement from {a: 1, f: 2, o: 1, t: 2}. What is prob of sequence af?
1/15
Two letters picked without replacement from xxixxxxxxxixxxixxi. What is prob of sequence xx?
91/153
Two letters picked without replacement from {w: 17, r: 3}. Give prob of sequence rr.
3/190
What is prob of sequence mm when two letters picked without replacement from {m: 2, l: 1}?
1/3
What is prob of sequence jmhj when four letters picked without replacement from mjjjwwjjwjwjh?
7/2860
What is prob of sequence bhb when three letters picked without replacement from hhbhbhhhhwhwhh?
5/546
Calculate prob of sequence nj when two letters picked without replacement from jrpponnx.
1/28
Two letters picked without replacement from arar. Give prob of sequence rr.
1/6
Three letters picked without replacement from {f: 6, q: 1, w: 6, l: 1, u: 1, s: 1}. What is prob of sequence wuq?
1/560
Calculate prob of sequence kk when two letters picked without replacement from {e: 1, g: 4, f: 4, k: 3, v: 2}.
3/91
Three letters picked without replacement from gtpzpoqzzqtp. What is prob of sequence tqz?
1/110
Calculate prob of sequence hh when two letters picked without replacement from {h: 11, c: 3}.
55/91
Three letters picked without replacement from {e: 3, h: 1, v: 3}. What is prob of sequence vhv?
1/35
Calculate prob of sequence yy when two letters picked without replacement from kckckkygyd.
1/45
What is prob of sequence pdz when three letters picked without replacement from {z: 1, t: 1, p: 2, d: 1}?
1/30
Three letters picked without replacement from owkwokkkwokkk. Give prob of sequence kow.
21/572
Two letters picked without replacement from gggwgggwggggggggwg. What is prob of sequence gw?
5/34
Three letters picked without replacement from {v: 1, b: 1, x: 2, g: 2}. Give prob of sequence bxv.
1/60
Two let
|
{
"pile_set_name": "DM Mathematics"
}
|
value in -18, t, 0?
0
Suppose 3*i = -4*f - 1392, -4*i = -f - 0*i - 348. Let k = f + 348. What is the second biggest value in k, 2/11, -6?
k
Let n(p) = -27*p + 211. Let o be n(8). Let i = -15.2 + 16. Let w = -2.2 - i. Which is the third smallest value? (a) w (b) 22 (c) o (d) -2
d
Let w = -1.06 + 28.06. Let c = -582 - -582. What is the biggest value in w, -1/3, c?
w
Let w be ((-70)/(-3))/((-6)/(-27)). Let x = w - 104. Which is the third smallest value? (a) x (b) 5 (c) -1 (d) -4
a
Let g = 14791 + -14815. Which is the third biggest value? (a) -12 (b) 0 (c) g
c
Suppose -35*y = -30*y + 20. Let x be -6 - ((-1)/y + -7). Which is the third biggest value? (a) 1/2 (b) 3/10 (c) x (d) 3/8
d
Let k be (-4176)/2175 - (0 - 2). Which is the second smallest value? (a) 1 (b) -59 (c) k
c
Let w = 57.6 - 58. Let t be -2 - (265/(-315) + 3). Let c = t - -40/9. What is the biggest value in w, -5, c, 1/2?
1/2
Let b = -6.2 + 9.2. Suppose 0 = 2*q + u + 8 + 30, -2*q - 46 = -u. Let m be 1/3 - (-1)/q. What is the second biggest value in m, b, 20?
b
Let r = 828 + -1720. Let s = -893 - r. What is the fourth smallest value in 2, s, -2/3, -7?
2
Let k = 1557 + -15573/10. Which is the fourth biggest value? (a) k (b) -5 (c) 3 (d) -2
b
Suppose 0 = -4*p - 18*d + 23*d - 604, 0 = 4*p + 4*d + 568. Let a = p - -146. What is the fourth biggest value in -0.1, -4, -2/5, a?
-4
Let s = -640.1 + 639.1. Let r = 0.099 + -0.099. Which is the fourth smallest value? (a) 2/401 (b) s (c) -3 (d) r
a
Let w = -95.6 - -38. Let i = -57.6 - w. Which is the smallest value? (a) i (b) 3 (c) 4 (d) 2.1
a
Let o = 5.16 - 5.183. Let x = -2.023 - o. What is the third biggest value in 14, x, 1/5?
x
Let j = -181.5 + 181. Let o be (-984)/(-168) + -1 + 0. What is the second biggest value in -1, o, j?
j
Let y(w) = 15*w**2 + 541*w + 35. Let k be y(-36). Which is the fourth biggest value? (a) 5 (b) -23 (c) -0.005 (d) k
b
Let m = 5016 + -10031/2. What is the biggest value in 0, -5/43, 1/6, m?
m
Let n = -4769/110 + 522/11. Let o = n + -18/5. Which is the fourth biggest value? (a) -4 (b) 0 (c) o (d) -0.28
a
Suppose 5*q = -v + 26 - 10, 2*q - 9 = -3*v. Let p = 2.83 + 0.07. What is the third biggest value in 3/8, p, q?
3/8
Let z = 0.47 + 0.03. Let n = -11592 + 11591.7. Which is the third smallest value? (a) z (b) 3/2 (c) n (d) 2
b
Let i = -1.227 - 161.373. Let w = i + 163. Which is the second biggest value? (a) w (b) -3/5 (c) 1 (d) -1/7
a
Let s = -15.99 + -0.01. Let r = -593 - -592.5. Which is the second smallest value? (a) s (b) -3/5 (c) r (d) -1
d
Let d = -5391 + 5375. Let s = 2.7 - 2.8. Which is the second smallest value? (a) s (b) 0.3 (c) d
a
Let d = -12879/11 + 1171. What is the biggest value in -5, 21, -1/2, d, 2/15?
21
Let s = 144583 - 144582.6. Suppose -3*z = 2*z. Which is the biggest value? (a) z (b) 0.039 (c) s
c
Let r be 47/4 - 2/(-8). Suppose q - 2*q - r = 0. Let c = -2051 - -2053. What is the second smallest value in c, q, -4?
-4
Let u = -0.05928 + -0.44072. Which is the third smallest value? (a) -2/11 (b) 0.2 (c) u (d) 1/2
b
Let l = -955/3416 + -3/488. Let n = 2.11 + -0.11. Let z = 5 - 4.6. Which is the third smallest value? (a) 3 (b) n (c) z (d) l
b
Let u = 19704 - 19714. What is the third smallest value in -0.215, -5, u?
-0.215
Let q = -7792.155 - -7791. Which is the third biggest value? (a) -2/5 (b) -0.3 (c) 1/6 (d) q
a
Suppose -5*r = 5*b + 10, -5*r - 8 = -6*b + 10*b. What is the biggest value in 3, 0.2, r?
3
Let j be (1324/(-12909))/((-20)/26). What is the third smallest value in j, 1, -0.5, 4, -2/107?
j
Let y = 16389 - 16397. Which is the smallest value? (a) 5 (b) 2 (c) 1 (d) y (e) -77
e
Let w = 534.816 - 532. Let z = -0.184 - w. What is the third biggest value in -4/11, z, 5?
z
Let f = 1827 - 1910.3. Let h = f - -88. Let z = -2.7 + h. Which is the smallest value? (a) 1/5 (b) z (c) 5
a
Suppose 55*l - 4*x - 8 = 59*l, -x = -5*l + 2. What is the third smallest value in -341, l, 4?
4
Let g = -0.683 - 1.117. Which is the smallest value? (a) -4 (b) g (c) -3
a
Let f = 135/4 - 33. Let r = 0.60669 + -3.60669. Which is the second smallest value? (a) -18 (b) r (c) f
b
Let z = 4326 + -4326.4. Which is the third smallest value? (a) -21/4 (b) 5 (c) -1 (d) z (e) -0.1
d
Let j = -22095 - -22092. Let a(i) = -i**2 + 9*i - 7. Let d be a(8). What is the second smallest value in 10, j, 2/21, d?
2/21
Let v = 24837 + -24836.5. Let d = -4 - -2. What is the fourth biggest value in v, d, 0.1, -1.2?
d
Let z = 1.762 + 0.038. Let k = z + -3.8. Let l = -12.9 - -5.9. Which is the second biggest value? (a) 0.3 (b) -1 (c) k (d) l
b
Let o = 0.55 + -1.05. Let k = 0.7 + o. What is the biggest value in 14, 1/2, k?
14
Let m = 1.08348 - 0.08348. What is the third biggest value in -1/2, 14/9, m, 5?
m
Let q = 5/11 + 1/22. Suppose -5*y - 6 = -11*y. Let u = -0.695 + -4.305. Which is the second smallest value? (a) q (b) u (c) y
a
Let w = -3.15 - -0.15. Let h = -41033 - -123100/3. Which is the third smallest value? (a) h (b) 82 (c) 2/15 (d) w
a
Let u = 8636 + -8657. What is the third smallest value in 1.5, u, -3?
1.5
Let u = 18376 + -17560. What is the third smallest value in u, 3, 5?
u
Let r be (25/(2000/(-96)))/3. Which is the second smallest value? (a) -9/23 (b) r (c) 2 (d) 3/4
a
Let v = -1.2751 - -1.1751. What is the biggest value in v, 5, -5, 25?
25
Let p(h) = h**3 + 9*h**2 - 4*h + 4. Let u be p(-5). Let j = u + -245/2. Which is the fourth biggest value? (a) 5 (b) j (c) -3/7 (d) -10/11
d
Let a = 12324.95 - 12840. Let v = a - -515. Let c = 144 + -1006/7. What is the third biggest value in v, 3, c, -0.4?
v
Let m = 1.0855 - 1.3855. What is the smallest value in -3.52, -0.5, m?
-3.52
Suppose -4 = -4*m + 3*m. Let i be -2 + 13 + -3 + -6. Let q be m + (-42)/9 + i. Which is the fourth smallest value? (a) 0.3 (b) 5 (c) 0.4 (d) q
b
Let l = 0.0389 + -0.2389. Let v = 50.62 - 45.6. Let w = v + -0.02. Which is the second smallest value? (a) 3 (b) w (c) l
a
Let f be 4/(-6)*(-6)/(-34). Let i be (6 - 42/4)/((-2)/(-4)). Which is the third smallest value? (a) f (b) 3 (c) i
b
Let r = -7.05 - -7.35. Which is the fourth smallest value? (a) 0.2 (b) 14 (c) r (d) -4/7 (e) 2/21
c
Let s be -1 - (-13 - 408/(-36)). What is the third biggest value in 0, 1/3, s?
0
Suppose 0 = 3*k + 3*t + 24, -2*t + 2 = -4*k. Let b be (-12)/36 + 40/3. Let p be (3*(-4)/21)/(-12 + b). What is the second biggest value in -0.06, k, p?
p
Suppose x = -0*x - 141. Let k = 78 + x. Let v be (-14)/k + (-16)/234. Which is the second biggest value? (a) v (b) 1 (c) -0.7
a
Let w = 61.9 + 11.4. Let d = 73 - w. What is the fourth biggest value in 0.2, 12, d, -2/9?
d
Let u = 0.4 + -0.1. Let n = 718/13 + -2859/52. Which is the second biggest value? (a) 6/5 (b) n (c) u
c
Let z = -10.593 - -10.7. Which is the second smallest value? (a) -4 (b) -2/5 (c) z
b
Let v = -27879.29 + 28203. Let n = v + -324. What is the second biggest value in n, 6, 1?
1
Let y = -30 - -7. Let w = -84194 + 84193.9. Which is the smallest value? (a) 5 (b) y (c) 0.1 (d) w
b
Let r = -121 + 121.1. What is the biggest value in 0.3, r, -3.29?
0.3
Let l = -9.9 - -1.9. Let s be (-85)/(-204)*4*(-6)/(-40). Which is the third biggest value? (a) l (b) 1 (c) s
a
Let p = 1167 + -673. Let o = p + -494.11. What is the third smallest value in -4/7, o, 6/5, -0.4?
o
Let n be ((-3222)/2148)/((-30)/4). Let z = 581 - 35442/61. What is the third biggest value in z, -5, n?
-5
Let y be (-3)/(27/6)*1. Let w = 1.8 + -2. Let z = 14478 + -14473. What is the biggest value in w, z, y?
z
Let j = -4.7 + -14.3. Let r = 351 - 373. Let i = r - j. Which is the second biggest value? (a) -4 (b) i (c) 0.5 (d) -2/7
d
Let z = 1358 + -1368. Let f = 0.274 + -0.074. What is the third biggest value in z, -5, f?
z
Let s = -0.0219 + -0.0381. Let i(j) = 2*j - 17. Let y be i(9). Let g be (y - -3)/(-2) - -1*3. Which is the smallest value? (a) 0.3 (b) g (c) s
c
Let m = 1.3 + -0.64. Let k = m + -0.16. Let v be 15/(-25) - (3 - 57/20). Which is the fourth biggest value? (a) v (b) k (c) 0.1 (d) 0
a
Let m = -12689 - -12691. Which is the smallest value? (a) -5 (b) m (c) -720
c
Let m be (-28)/(-6)*12/8. Let s = 350.3 - 350. What is the third biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
-20*l**2 - 2*l + 1314284
What is the a'th term of -27414319, -27414313, -27414307, -27414301, -27414295?
6*a - 27414325
What is the j'th term of -8793, -70176, -236787, -561240, -1096149, -1894128?
-8769*j**3 - 24
What is the q'th term of -2100132, -4200363, -6300594, -8400825, -10501056, -12601287?
-2100231*q + 99
What is the u'th term of -424699, -425248, -425787, -426310, -426811, -427284?
u**3 - u**2 - 553*u - 424146
What is the c'th term of 2156, 8370, 18728, 33230, 51876, 74666?
2072*c**2 - 2*c + 86
What is the d'th term of -83717, -84857, -85995, -87131, -88265?
d**2 - 1143*d - 82575
What is the o'th term of -3957, -5008, -6059?
-1051*o - 2906
What is the f'th term of 7843815, 7843812, 7843809, 7843806, 7843803, 7843800?
-3*f + 7843818
What is the n'th term of -184, -638, -1226, -1948?
-67*n**2 - 253*n + 136
What is the j'th term of -10487, -11114, -11739, -12362, -12983?
j**2 - 630*j - 9858
What is the d'th term of -6265, -12537, -18755, -24919?
27*d**2 - 6353*d + 61
What is the h'th term of 881282, 1762562, 2643832, 3525086, 4406318, 5287522, 6168692?
-h**3 + h**2 + 881284*h - 2
What is the r'th term of 26816, 53681, 80594, 107561, 134588, 161681, 188846?
r**3 + 18*r**2 + 26804*r - 7
What is the t'th term of 221899302, 443798602, 665697902?
221899300*t + 2
What is the k'th term of -227177, -1817413, -6133771, -14539313, -28397101, -49070197, -77921663, -116314561?
-227177*k**3 + k**2 - 1
What is the w'th term of 28942, 60235, 91518, 122785, 154030?
-w**3 + w**2 + 31297*w - 2355
What is the p'th term of 964, 3382, 5800, 8218?
2418*p - 1454
What is the v'th term of 2142649, 2142637, 2142625, 2142613, 2142601, 2142589?
-12*v + 2142661
What is the i'th term of 19387125, 19387081, 19387037?
-44*i + 19387169
What is the x'th term of 66170679, 132341380, 198512081?
66170701*x - 22
What is the j'th term of -6728, -10712, -14696, -18680, -22664, -26648?
-3984*j - 2744
What is the s'th term of 1018, 2141, 4014, 6637, 10010, 14133, 19006?
375*s**2 - 2*s + 645
What is the t'th term of -612, -1160, -2066, -3330, -4952, -6932?
-179*t**2 - 11*t - 422
What is the p'th term of -199798, -399501, -598966, -798073, -996702?
20*p**3 - p**2 - 199840*p + 23
What is the h'th term of -27352, -24754, -17706, -3982, 18644, 52398?
371*h**3 - h**2 + 4*h - 27726
What is the f'th term of -804552, -804692, -804832?
-140*f - 804412
What is the g'th term of 50183, 100395, 150605, 200813?
-g**2 + 50215*g - 31
What is the o'th term of -47418, -47288, -46948, -46296, -45230, -43648?
17*o**3 + 3*o**2 + 2*o - 47440
What is the w'th term of 861, 3263, 6945, 11643, 17093, 23031?
-44*w**3 + 904*w**2 - 2*w + 3
What is the m'th term of 17073171, 17073166, 17073161, 17073156?
-5*m + 17073176
What is the o'th term of -128, -2760, -10382, -25490, -50580, -88148, -140690?
-416*o**3 + o**2 + 277*o + 10
What is the s'th term of -1207376, -2414891, -3622406, -4829921?
-1207515*s + 139
What is the p'th term of 320, 349, 348, 299, 184, -15, -316, -737?
-3*p**3 + 3*p**2 + 41*p + 279
What is the b'th term of -1173, -2008, -3811, -6918, -11665, -18388, -27423, -39106?
-56*b**3 - 148*b**2 + b - 970
What is the q'th term of -13640, -13725, -13860, -14069, -14376, -14805, -15380?
-4*q**3 - q**2 - 54*q - 13581
What is the a'th term of -6219383, -12438765, -18658147?
-6219382*a - 1
What is the j'th term of -1362460, -2724916, -4087372, -5449828?
-1362456*j - 4
What is the l'th term of -24381, -24314, -24247, -24180, -24113, -24046?
67*l - 24448
What is the s'th term of 25853, 25888, 25897, 25880, 25837, 25768?
-13*s**2 + 74*s + 25792
What is the x'th term of -15816, -31259, -45996, -59673, -71936?
59*x**3 - x**2 - 15853*x - 21
What is the k'th term of 12279413, 12279415, 12279417?
2*k + 12279411
What is the f'th term of 4629932, 4629937, 4629942, 4629947, 4629952?
5*f + 4629927
What is the n'th term of 18063, 35492, 52921, 70350, 87779?
17429*n + 634
What is the p'th term of -9327, -9445, -9639, -9909, -10255?
-38*p**2 - 4*p - 9285
What is the h'th term of -1041, 1065, 3171, 5277, 7383, 9489?
2106*h - 3147
What is the u'th term of -313619, -313100, -312581, -312062?
519*u - 314138
What is the g'th term of -8576951, -8576956, -8576965, -8576978, -8576995, -8577016?
-2*g**2 + g - 8576950
What is the s'th term of 95129, 93908, 92687, 91466?
-1221*s + 96350
What is the c'th term of -18768, -38233, -57698, -77163?
-19465*c + 697
What is the i'th term of -816232, -816235, -816240, -816247, -816256, -816267, -816280?
-i**2 - 816231
What is the g'th term of 446, 1109, 2162, 3605, 5438, 7661?
195*g**2 + 78*g + 173
What is the v'th term of -749, -612, -285, 316, 1275?
14*v**3 + 11*v**2 + 6*v - 780
What is the k'th term of -1654460, -1654458, -1654446, -1654418, -1654368?
k**3 - k**2 - 2*k - 1654458
What is the b'th term of 333033, 666026, 999019, 1332012, 1665005?
332993*b + 40
What is the n'th term of 1114909, 1115279, 1115649?
370*n + 1114539
What is the h'th term of -5137, -156, 4825, 9806, 14787?
4981*h - 10118
What is the l'th term of -878, -1885, -2818, -3641, -4318, -4813?
6*l**3 + l**2 - 1052*l + 167
What is the d'th term of -1280364, -1280429, -1280494?
-65*d - 1280299
What is the w'th term of 34907, 34228, 32397, 28838, 22975, 14232?
-96*w**3 - 7*w + 35010
What is the q'th term of 152581380, 305162759, 457744138, 610325517, 762906896, 915488275?
152581379*q + 1
What is the y'th term of 3584, 4126, 4676, 5234, 5800?
4*y**2 + 530*y + 3050
What is the s'th term of -84, -605, -2094, -5061, -10016, -17469?
-85*s**3 + 26*s**2 - 4*s - 21
What is the o'th term of 1442587, 1442596, 1442603, 1442608, 1442611, 1442612, 1442611?
-o**2 + 12*o + 1442576
What is the v'th term of -457610, -457591, -457574, -457559, -457546, -457535, -457526?
-v**2 + 22*v - 457631
What is the u'th term of 278276015, 278276016, 278276017, 278276018, 278276019, 278276020?
u + 278276014
What is the k'th term of -541, -2208, -5039, -9076, -14361, -20936, -28843?
-7*k**3 - 540*k**2 + 2*k + 4
What is the b'th term of -13848, -13919, -13984, -14043, -14096?
3*b**2 - 80*b - 13771
What is the t'th term of 239, 15, -653, -1981, -4185?
-36*t**3 - 6*t**2 + 46*t + 235
What is the i'th term of -241791, -241758, -241663, -241476, -241167, -240706?
5*i**3 + i**2 - 5*i - 241792
What is the o'th term of 870799, 1741712, 2612625, 3483538?
870913*o - 114
What is the y'th term of -3538, -6241, -8924, -11587, -14230?
10*y**2 - 2733*y - 815
What is the b'th term of 10952, 11134, 11324, 11522, 11728?
4*b**2 + 170*b + 10778
What is the f'th term of 138642, 138648, 138670, 138720, 138810, 138952, 139158?
2*f**3 - 4*f**2 + 4*f + 138640
What is the q'th term of -2852, -4193, -5534, -6875, -8216, -9557?
-1341*q - 1511
What is the f'th term of -128, -369, -932, -1949, -3552, -5873, -9044, -13197?
-22*f**3 - 29*f**2 - 77
What is the n'th term of 180701, 360172, 539643, 719114?
179471*n + 1230
What is the d'th term of 2803, -1337, -5477?
-4140*d + 6943
What is the c'th term of 2389, 5285, 8697, 12631, 17093, 22089, 27625?
c**3 + 252*c**2 + 2133*c + 3
What is the w'th term of -76353, -76365, -76375, -76383, -76389, -76393, -76395?
w**2 - 15*w - 76339
What is the u'th term of -6689788, -13379577, -20069366, -26759155, -33448944, -40138733?
-6689789*u + 1
What is the z'th term of 9528, 16455, 23382?
6927*z + 2601
What is the y'th term of 522, -271, -2910, -8319, -17422, -31143, -50406?
-154*y**3 + y**2 + 282*y + 393
What is the d'th term of -17225, -68846, -154879, -275324, -430181?
-17206*d**2 - 3*d - 16
What is the n'th term of 5005, 10034, 15095, 20194, 25337, 30530, 35779?
n**3 + 10*n**2 + 4992*n + 2
What is the k'th term of -25, 130, 445, 950, 1675, 2650, 3905?
5*k**3 + 50*k**2 - 30*k - 50
What is the a'th term of -308261, -616567, -924873, -1233179, -1541485, -1849791?
-308306*a + 45
What is the z'th term of 1308, 2758, 4220, 5700, 7204, 8738?
z**3 + 1443*z - 136
What is the x'th term of 296748, 1185382, 2665906, 4738326, 7402648, 10658878, 14507022?
x**3 + 295939*x**2 + 810*x - 2
What is the p'th term of 1462, 5390, 11802, 20698, 32078, 45942, 62290?
1242*p**2 + 202*p + 18
What is the f'th term of -3650251, -3650256, -3650261, -3650266, -3650271, -3650276?
-5*f - 3650246
What is the k'th term of -349620, -355131, -360642, -366153, -371664?
-5511*k -
|
{
"pile_set_name": "DM Mathematics"
}
|
0442?
0
What is the hundred thousands digit of 14683109?
6
What is the thousands digit of 72724?
2
What is the millions digit of 3381903?
3
What is the tens digit of 1088447?
4
What is the hundreds digit of 170202?
2
What is the tens digit of 496016?
1
What is the thousands digit of 33405129?
5
What is the tens digit of 1250569?
6
What is the hundred thousands digit of 659760?
6
What is the thousands digit of 3981473?
1
What is the tens digit of 10558369?
6
What is the hundred thousands digit of 342698?
3
What is the tens digit of 4865131?
3
What is the thousands digit of 16874696?
4
What is the hundred thousands digit of 429035?
4
What is the hundreds digit of 751704?
7
What is the ten thousands digit of 4177790?
7
What is the units digit of 23426112?
2
What is the hundred thousands digit of 905169?
9
What is the hundred thousands digit of 1552465?
5
What is the tens digit of 431863?
6
What is the millions digit of 30050078?
0
What is the hundred thousands digit of 1330488?
3
What is the units digit of 502095?
5
What is the units digit of 517394?
4
What is the thousands digit of 10428976?
8
What is the ten thousands digit of 2964489?
6
What is the hundred thousands digit of 2701529?
7
What is the thousands digit of 1962900?
2
What is the hundreds digit of 27477144?
1
What is the hundreds digit of 428544?
5
What is the thousands digit of 258149?
8
What is the hundreds digit of 26869415?
4
What is the thousands digit of 599528?
9
What is the hundreds digit of 749743?
7
What is the tens digit of 3210449?
4
What is the ten thousands digit of 609809?
0
What is the tens digit of 1170715?
1
What is the hundreds digit of 10804329?
3
What is the hundreds digit of 96422?
4
What is the ten thousands digit of 3240007?
4
What is the units digit of 7150226?
6
What is the units digit of 1757840?
0
What is the thousands digit of 1723888?
3
What is the units digit of 19609258?
8
What is the ten thousands digit of 495622?
9
What is the hundreds digit of 931007?
0
What is the units digit of 10334?
4
What is the millions digit of 1241741?
1
What is the units digit of 18639548?
8
What is the tens digit of 266014?
1
What is the units digit of 1535794?
4
What is the tens digit of 165227?
2
What is the ten thousands digit of 635931?
3
What is the ten thousands digit of 10756946?
5
What is the ten thousands digit of 2452123?
5
What is the thousands digit of 4709756?
9
What is the tens digit of 1781229?
2
What is the units digit of 1448314?
4
What is the hundred thousands digit of 9311190?
3
What is the ten thousands digit of 5874763?
7
What is the hundred thousands digit of 210126?
2
What is the hundreds digit of 285724?
7
What is the thousands digit of 1344414?
4
What is the units digit of 4503508?
8
What is the hundreds digit of 556337?
3
What is the units digit of 4596759?
9
What is the tens digit of 177125?
2
What is the thousands digit of 23955164?
5
What is the hundreds digit of 2896949?
9
What is the tens digit of 143915?
1
What is the tens digit of 1018849?
4
What is the tens digit of 4628926?
2
What is the units digit of 5903084?
4
What is the ten thousands digit of 421593?
2
What is the hundreds digit of 194989?
9
What is the thousands digit of 931443?
1
What is the units digit of 1752630?
0
What is the thousands digit of 31037?
1
What is the tens digit of 57844?
4
What is the units digit of 185142?
2
What is the ten thousands digit of 749049?
4
What is the thousands digit of 1950003?
0
What is the hundred thousands digit of 906672?
9
What is the hundreds digit of 946820?
8
What is the units digit of 5808475?
5
What is the ten millions digit of 25649959?
2
What is the thousands digit of 458333?
8
What is the hundreds digit of 18091247?
2
What is the hundreds digit of 225953?
9
What is the tens digit of 296084?
8
What is the hundred thousands digit of 268276?
2
What is the hundreds digit of 234069?
0
What is the units digit of 1124036?
6
What is the hundred thousands digit of 273443?
2
What is the units digit of 314262?
2
What is the hundred thousands digit of 516561?
5
What is the units digit of 20834480?
0
What is the tens digit of 4351002?
0
What is the ten thousands digit of 3073898?
7
What is the hundreds digit of 55095?
0
What is the units digit of 242331?
1
What is the tens digit of 954983?
8
What is the hundred thousands digit of 990720?
9
What is the tens digit of 286060?
6
What is the hundred thousands digit of 3451458?
4
What is the hundreds digit of 6988969?
9
What is the ten thousands digit of 332370?
3
What is the tens digit of 1024762?
6
What is the units digit of 4341468?
8
What is the millions digit of 3350184?
3
What is the units digit of 292798?
8
What is the ten thousands digit of 2783925?
8
What is the thousands digit of 65251?
5
What is the tens digit of 14926903?
0
What is the units digit of 449716?
6
What is the hundreds digit of 3207241?
2
What is the ten thousands digit of 179869?
7
What is the tens digit of 10400944?
4
What is the hundred thousands digit of 2520144?
5
What is the hundred thousands digit of 152908?
1
What is the units digit of 289747?
7
What is the units digit of 500481?
1
What is the tens digit of 334220?
2
What is the thousands digit of 546485?
6
What is the tens digit of 805840?
4
What is the units digit of 390180?
0
What is the tens digit of 441908?
0
What is the hundreds digit of 676921?
9
What is the ten thousands digit of 846530?
4
What is the tens digit of 2321653?
5
What is the ten thousands digit of 23093858?
9
What is the thousands digit of 888390?
8
What is the ten millions digit of 26351636?
2
What is the ten thousands digit of 602029?
0
What is the hundred thousands digit of 623216?
6
What is the hundred thousands digit of 2018286?
0
What is the hundreds digit of 407792?
7
What is the thousands digit of 2878041?
8
What is the hundred thousands digit of 124063?
1
What is the ten thousands digit of 2754957?
5
What is the units digit of 121913?
3
What is the thousands digit of 7370835?
0
What is the tens digit of 173936?
3
What is the tens digit of 668117?
1
What is the thousands digit of 164890?
4
What is the ten thousands digit of 701704?
0
What is the tens digit of 3119062?
6
What is the thousands digit of 16923322?
3
What is the units digit of 418263?
3
What is the millions digit of 8699030?
8
What is the hundreds digit of 162731?
7
What is the tens digit of 27140?
4
What is the tens digit of 11260193?
9
What is the tens digit of 3970656?
5
What is the ten thousands digit of 131798?
3
What is the thousands digit of 160221?
0
What is the ten thousands digit of 3926647?
2
What is the millions digit of 1081834?
1
What is the ten thousands digit of 486333?
8
What is the tens digit of 211773?
7
What is the thousands digit of 1702502?
2
What is the tens digit of 2012779?
7
What is the units digit of 40821253?
3
What is the millions digit of 3036782?
3
What is the tens digit of 581167?
6
What is the ten thousands digit of 3261282?
6
What is the hundred thousands digit of 273840?
2
What is the hundred thousands digit of 238966?
2
What is the units digit of 260531?
1
What is the tens digit of 161025?
2
What is the ten thousands digit of 313439?
1
What is the ten thousands digit of 60057?
6
What is the tens digit of 28484326?
2
What is the thousands digit of 734681?
4
What is the hundreds digit of 1304212?
2
What is the hundred thousands digit of 1985213?
9
What is the hundred thousands digit of 917863?
9
What is the units digit of 28601467?
7
What is the thousands digit of 32094951?
4
What is the units digit of 196356?
6
What is the hundred thousands digit of 11334774?
3
What is the tens digit of 6626217?
1
What is the millions digit of 11335059?
1
What is the hundred thousands digit of 5382938?
3
What is the hundred thousands digit of 814423?
8
What is the ten millions digit of 11090927?
1
What is the units digit of 4914775?
5
What is the thousands digit of 29735?
9
What is the millions digit of 16200990?
6
What is the hundreds digit of 335139?
1
What is the hundreds digit of 857038?
0
What is the hundreds digit of 1605190?
1
What is the units digit of 214613?
3
What is the thousands digit of 8322060?
2
What is the hundreds digit of 47055?
0
What is the units digit of 3648583?
3
What is the ten thousands
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate prob of picking 1 q and 2 r when three letters picked without replacement from qqvqqggyvgqqvgr.
0
Three letters picked without replacement from {n: 4, z: 12, x: 4}. Give prob of picking 1 x, 1 n, and 1 z.
16/95
Calculate prob of picking 2 y and 1 t when three letters picked without replacement from {y: 2, j: 7, t: 3, k: 3}.
3/455
Two letters picked without replacement from nnavvnnnnnnvvnannvn. What is prob of picking 1 a and 1 n?
8/57
What is prob of picking 1 g and 1 a when two letters picked without replacement from lydylyylaagyyggygdy?
8/171
Three letters picked without replacement from {c: 1, b: 2, x: 1, z: 5}. Give prob of picking 1 x and 2 b.
1/84
Calculate prob of picking 2 d when two letters picked without replacement from {d: 10, m: 9}.
5/19
What is prob of picking 2 q when two letters picked without replacement from {j: 4, i: 7, q: 7}?
7/51
Three letters picked without replacement from {q: 1, u: 1, v: 1, d: 2, f: 2, l: 1}. Give prob of picking 1 d, 1 q, and 1 v.
1/28
What is prob of picking 1 d and 1 r when two letters picked without replacement from odr?
1/3
What is prob of picking 1 r and 1 j when two letters picked without replacement from xxbcjrn?
1/21
Three letters picked without replacement from erfrrreml. Give prob of picking 3 l.
0
Four letters picked without replacement from {o: 7, f: 6, j: 2}. Give prob of picking 2 j and 2 o.
1/65
Two letters picked without replacement from behvp. What is prob of picking 1 b and 1 v?
1/10
Calculate prob of picking 1 q, 1 w, and 2 d when four letters picked without replacement from ddrqwrjdrqjdwr.
24/1001
Calculate prob of picking 2 r and 1 n when three letters picked without replacement from grnr.
1/4
Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {h: 5, e: 2, o: 5}.
5/33
Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {a: 2, u: 4, y: 8}.
8/91
Four letters picked without replacement from {v: 9, d: 2}. What is prob of picking 3 v and 1 d?
28/55
Four letters picked without replacement from ccjgcmccjcjjmwj. Give prob of picking 2 j and 2 c.
10/91
Three letters picked without replacement from lllllllllglglllgllll. Give prob of picking 2 g and 1 l.
17/380
What is prob of picking 3 q when three letters picked without replacement from bqqbqqqbqq?
7/24
Two letters picked without replacement from {t: 2, g: 4, k: 1}. What is prob of picking 1 k and 1 t?
2/21
Three letters picked without replacement from bbbbb. Give prob of picking 3 b.
1
Three letters picked without replacement from ocpbg. Give prob of picking 1 b, 1 g, and 1 c.
1/10
Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {g: 5, n: 15}.
5/38
Three letters picked without replacement from {r: 7, m: 4, c: 3, n: 1, y: 1}. Give prob of picking 3 m.
1/140
Two letters picked without replacement from {x: 1, f: 10, j: 8}. Give prob of picking 2 f.
5/19
What is prob of picking 2 q when two letters picked without replacement from qsqqqqqq?
3/4
What is prob of picking 1 k, 1 i, and 1 r when three letters picked without replacement from ghgxxxxhiirk?
1/110
What is prob of picking 2 t when two letters picked without replacement from {t: 2, q: 5, k: 9}?
1/120
Two letters picked without replacement from {o: 2, j: 3, p: 4, c: 8}. Give prob of picking 1 o and 1 c.
2/17
Three letters picked without replacement from fwwlfwwffwwfw. What is prob of picking 1 f, 1 w, and 1 l?
35/286
Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {c: 2, r: 3}.
3/5
What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, a: 1, v: 1}?
1/3
Two letters picked without replacement from {c: 9, f: 5}. What is prob of picking 2 c?
36/91
What is prob of picking 1 d, 1 a, and 1 l when three letters picked without replacement from {a: 4, s: 3, f: 2, d: 3, l: 4}?
3/35
Two letters picked without replacement from aybyyudbypyypyaay. Give prob of picking 1 d and 1 y.
1/17
Two letters picked without replacement from {a: 2, i: 1}. What is prob of picking 2 a?
1/3
What is prob of picking 2 h and 2 d when four letters picked without replacement from {x: 1, t: 1, z: 1, h: 2, v: 5, d: 3}?
3/715
Two letters picked without replacement from {v: 8, m: 1, o: 2, e: 3, r: 2, i: 1}. What is prob of picking 1 i and 1 e?
3/136
Two letters picked without replacement from {j: 4, t: 1, u: 4, c: 3, y: 1}. Give prob of picking 1 u and 1 y.
2/39
Three letters picked without replacement from {s: 3, e: 4, z: 2, w: 2, d: 8}. What is prob of picking 1 s and 2 d?
28/323
Four letters picked without replacement from llflllrpp. Give prob of picking 1 f and 3 l.
5/63
Two letters picked without replacement from {v: 1, j: 1, w: 1, u: 1, k: 4, p: 4}. What is prob of picking 1 p and 1 w?
2/33
Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 3, a: 2, b: 4, z: 1, k: 2}.
1/22
What is prob of picking 1 y, 1 t, and 1 m when three letters picked without replacement from jmjrtyj?
1/35
Calculate prob of picking 3 j when three letters picked without replacement from {r: 3, n: 2, j: 7, s: 1, y: 7}.
7/228
What is prob of picking 1 z, 2 h, and 1 g when four letters picked without replacement from ghhzhhhwhhzzz?
84/715
Two letters picked without replacement from azzzzazaazzazzzaaaaa. Give prob of picking 2 z.
9/38
Three letters picked without replacement from {a: 7, d: 3, v: 3, n: 2, j: 1, r: 1}. Give prob of picking 1 j, 1 n, and 1 r.
1/340
Calculate prob of picking 3 y when three letters picked without replacement from yyzsy.
1/10
Two letters picked without replacement from yuummuum. Give prob of picking 1 m and 1 u.
3/7
Two letters picked without replacement from kddddddddk. Give prob of picking 2 d.
28/45
Four letters picked without replacement from jcvwivnccjjc. What is prob of picking 1 v, 1 n, and 2 j?
2/165
Four letters picked without replacement from {l: 3, r: 4, k: 2, v: 2, x: 2}. Give prob of picking 1 v and 3 l.
2/715
Two letters picked without replacement from frffffr. What is prob of picking 2 f?
10/21
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from lllttltclcll.
1/11
Two letters picked without replacement from {q: 3, c: 1, h: 1, k: 1, g: 2, s: 8}. What is prob of picking 2 s?
7/30
What is prob of picking 2 a when two letters picked without replacement from oaooaoaaooaooooo?
1/12
What is prob of picking 1 o, 1 q, and 1 w when three letters picked without replacement from {w: 1, f: 1, a: 2, o: 2, q: 1}?
2/35
Four letters picked without replacement from {w: 2, b: 2, u: 1, d: 7, j: 4, v: 1}. Give prob of picking 1 u and 3 j.
1/595
Four letters picked without replacement from {n: 10, b: 4}. What is prob of picking 2 n and 2 b?
270/1001
Three letters picked without replacement from {q: 5, d: 2, j: 4, w: 4}. What is prob of picking 1 w and 2 d?
4/455
Calculate prob of picking 4 d when four letters picked without replacement from {d: 10}.
1
Two letters picked without replacement from {k: 1, y: 3, d: 2, t: 1}. Give prob of picking 1 k and 1 t.
1/21
Two letters picked without replacement from {z: 11, g: 1, e: 4, i: 1}. Give prob of picking 1 i and 1 z.
11/136
What is prob of picking 1 l, 1 h, 1 g, and 1 x when four letters picked without replacement from {k: 1, l: 3, x: 4, h: 1, g: 5, w: 4}?
1/51
Three letters picked without replacement from {f: 2, d: 2, n: 2, t: 8, c: 1}. Give prob of picking 2 f and 1 n.
2/455
What is prob of picking 1 z and 3 c when four letters picked without replacement from lzccbccbz?
4/63
Three letters picked without replacement from mzxzzvzmxmzzmvx. What is prob of picking 1 z and 2 x?
18/455
What is prob of picking 2 e and 1 d when three letters picked without replacement from dedee?
3/5
Three letters picked without replacement from kkkynkykihkyhkyn. What is prob of picking 1 y, 1 i, and 1 n?
1/70
Two letters picked without replacement from kedpt. What is prob of picking 1 t and 1 e?
1/10
What is prob of picking 2 c, 1 p, and 1 u when four letters picked without replacement from qcquqccuqupccpucuc?
7/102
Four letters picked without replacement from uintituniimm. Give prob of picking 1 i, 2 u, and 1 n.
8/495
Three letters picked w
|
{
"pile_set_name": "DM Mathematics"
}
|
*h) + h - 2*h**2 - h).
-56*h**3
Expand (3 - k - 3)*(-7 + 8 + 10)*(-4 + 0 + 2 + 2 - 5 + 2 + (-1 - 1 + 1)*(-3 + 0 + 1) - 3 + 5 + 1).
-22*k
Expand (-27*z - 13*z + 4*z)*(2 - z - 2 - 5*z + 2*z + z + (-5 + 4 - 1)*(3 - 2*z - 3)).
-36*z**2
Expand c**3 - c**3 + 3*c**4 + (-6*c**3 + 2*c**3 + 3*c**3)*(46 - 46 + 18*c).
-15*c**4
Expand (-16 - 517*k + 29 - 13)*(5 - 3 - 3).
517*k
Expand (0*w + w + 2*w)*(-15*w - 120 + 120).
-45*w**2
Expand -w**5 - w**4 + 5*w**5 - 3*w**5 + (-11 - 13 + 29)*(-449*w - 24*w**5 + 449*w).
-119*w**5 - w**4
Expand (3*j + 3*j**2 - 3*j)*(3*j**2 - 5*j**2 + 15*j**2)*(0 + j + 0).
39*j**5
Expand (1 - 3 + 0)*(-4 - 4 - 11)*(-3*y**2 + 4*y**2 + 9*y**2).
380*y**2
Expand (-4*s - 3*s + 0*s)*(-7 + 8 - 4*s**2 + 9).
28*s**3 - 70*s
Expand (-h**2 + 3*h**2 + 0*h**2 + (h - h + h)*(2*h + h - h) - 10*h + 10*h - 14*h**2)*(-5*h - h + 2*h).
40*h**3
Expand (3 - 5 - 9)*(-3 + 3 + 1)*(-i - 10*i - 4*i).
165*i
Expand 0*i + i - 2*i + (2*i - 5*i + 4*i)*(-3 + 3 + 1) + 0*i + 2*i - 6*i + ((-3*i + 1 - 1)*(-2 - 3 + 1) - i - 3*i + 2*i)*(-3 + 1 + 4).
16*i
Expand 0*a**4 + 0*a**4 + 6*a**4 + (a**2 + a - 2*a + 2*a)*(37*a + 37*a**2 - 37*a).
43*a**4 + 37*a**3
Expand (-5*t + t + 0*t)*(2*t - 3*t - 5*t)*(-t + 3*t - 7*t)*(2*t**2 - 5*t**2 + 2*t**2).
120*t**5
Expand (0*r**4 + r**4 + 2*r**3 - 2*r**4)*(2*r - 8*r - 27*r).
33*r**5 - 66*r**4
Expand (3*l**3 - 6*l**3 + 0*l**3)*(715 - 715 + 295*l)*(-1 + 0 + 3).
-1770*l**4
Expand (-2 - 2 + 5)*(0*x**2 + 0*x**2 - 2*x**2)*(-7*x**2 - 17*x**2 + 2*x**2)*(-2*x - 2*x + 3*x).
-44*x**5
Expand r**4 + 45*r**5 + 0*r**4 + 16*r**5 + (-2*r**2 - r**2 + r**2)*(-2*r**3 + 3*r**3 - 2*r**3).
63*r**5 + r**4
Expand (-6*f**2 + f**2 + 4*f**2)*(-1 + 2 + 0)*(-42*f + 23*f - 62*f)*(3 - 1 - 3).
-81*f**3
Expand (4*g**2 + g - g)*(10*g**2 + 11*g**2 + 2*g**2) + 3*g**4 - g**4 - g**4.
93*g**4
Expand (1 - 1 - 1)*((5*u - 3*u - u)*(-2 + 3 + 1) - 2 + u + 2 - 3*u - 7 + u + 0*u).
-u + 7
Expand 0*r**4 - 2*r**4 + 3*r**4 + (r**3 + 0*r**3 - 2*r**3)*(6*r + 7*r - 17*r) + 3*r**4 + 2*r**4 - 2*r**4.
8*r**4
Expand (91*v + 177*v**4 - 91*v)*(-v + 0*v - 2*v).
-531*v**5
Expand (0*q + 2*q**2 + 0*q + (-6*q + q + 0*q)*(-2*q + 2*q - 2*q))*(10*q - 61*q + 27*q).
-288*q**3
Expand (5*n**2 - 11 + 11)*(8*n**2 - 4*n + 420 - 420).
40*n**4 - 20*n**3
Expand -4*u**3 - 1 + u**3 + u**3 + (0 + 0 + 2*u)*(-3*u**2 + 3*u**2 - 2*u**2) + (-2*u**2 + 3*u - 3*u)*(-5*u + 2*u + u).
-2*u**3 - 1
Expand (-2*u + 3*u + 0*u + (u - 2*u - u)*(-3 + 2 - 1) + u + 2*u - 2*u + 2*u - 2*u - u - 4*u + 0*u + 3*u)*(-u**3 + 2*u**3 + u**3)*(5 - 5 - u)*(3 + 6 + 4).
-104*u**5
Expand 3*l**2 - l**2 + 0*l**2 + l + (-11 - 2*l + 11)*(-5*l + 2*l + l).
6*l**2 + l
Expand (-3*o**2 + 10*o**2 + 6 - 6*o**2)*(1 - 1 - o)*((5*o + 4*o - 6*o)*(-1 + 2 - 3) - 4*o + 3*o + 2*o).
5*o**4 + 30*o**2
Expand (6 + 2 + 6)*(9*j**3 - 4*j**3 + 2*j**3).
98*j**3
Expand (-6 - 2 + 6 - 30*c)*(11*c - 11*c - 4*c**2).
120*c**3 + 8*c**2
Expand (-28*k**2 - 33*k**2 + 2*k - 71*k**2)*(0*k - k + 0*k).
132*k**3 - 2*k**2
Expand (65 + 57 - 183)*(3*w + 0*w + 3*w)*(-3*w + 2 - 2)*(0 - 2*w + 0).
-2196*w**3
Expand (-2*t + t + 2*t)*(21 + 2 - 3) + (-2*t + 0*t + 4*t + (3*t - 2*t + t)*(-1 - 3 + 6))*(-1 - 2 + 0).
2*t
Expand (2*g - g - 3*g)*(686 - 265 - 38).
-766*g
Expand (2 - 2 - 2*p)*(-7*p + 2*p + 3*p) - p**2 - 5*p**2 + 4*p**2 - 4*p + 4*p + p**2 + (-3 + 3 + p)*(-p + 0*p - p) - 11*p + 11*p + 5*p**2.
6*p**2
Expand 23*w**4 - 72*w**5 - 23*w**4 + (4*w + 0*w - 2*w)*(4*w**4 - 3*w**4 + 0*w**4) + (0 - w + 0)*(-5 - 5*w**4 - 2*w**4 + 4).
-63*w**5 + w
Expand 3*o - o + 2*o + (4 - o - 4)*(-3 + 1 + 1) + 301*o - 46*o + 18*o - 2*o + 0*o + 3*o.
279*o
Expand (-72 - 30 - 36 - 16)*(-2*m - 2*m + m).
462*m
Expand -n**3 + 2*n**3 - 2*n**3 + (-2*n**3 - 2 + 2)*(-6 + 68 - 1) - 2*n**3 - 3*n**2 + 3*n**2.
-125*n**3
Expand -21 + 331*g**3 - 330*g**3 - 901*g + 909*g + (-3 + 3 + 2*g**2)*(3*g - 4*g + 3*g).
5*g**3 + 8*g - 21
Expand (-5*g + 4*g - g)*(293 - 293 + 76*g).
-152*g**2
Expand -s**4 + 0*s**2 + 0*s**2 + (-1 + 1 + s)*(-15*s**3 + s**3 + s**3) + 12*s**4 + s**2 + 4 - 2 - 10*s**4.
-12*s**4 + s**2 + 2
Expand (-5*x + 0*x + 3*x)*(-525 - 34 - 71).
1260*x
Expand (-31*b**2 + 36*b**3 + 492374*b - 492374*b)*(-b**2 - 1 + 1 + 2*b).
-36*b**5 + 103*b**4 - 62*b**3
Expand (0 + 0 - 2*w)*(-34 - 35 + 65 - 24*w**2).
48*w**3 + 8*w
Expand (13*u - 13*u - 11*u)*(-4*u**3 - 12*u + 12*u) - 3*u + 57*u**4 - 58*u**4 + 4*u.
43*u**4 + u
Expand (-f**5 + 3*f**5 - 4*f**5)*(2 + 3 - 6) + 3*f**2 + 4*f**2 - 1565*f**4 - f**5 - 1 + 1569*f**4.
f**5 + 4*f**4 + 7*f**2 - 1
Expand (-o - o - 2*o - 4*o)*(8 - 8 + o**2).
-8*o**3
Expand -3*y + 0*y + 4*y + (1 + 0 - 3)*(-270 + 1853*y - 709*y + 270).
-2287*y
Expand (-7*v**3 + v**3 + v**3)*((-4*v + v + 4*v)*(-1 + 1 - 3) - 2*v + 2*v - 3*v).
30*v**4
Expand 2*q**4 - 2*q + 2*q + (3 - 2*q**2 - 3)*(2 - 2 - q**2) + 3*q**4 + 0*q**4 - q**4 - 67*q**4 + 39*q**4 + 42*q**4.
20*q**4
Expand 1 - 1 - x**2 + (-70*x + 203 - 203)*(2*x - 5*x + 2*x).
69*x**2
Expand -4*b + 2*b + b + (1 - 1 - 1)*(-2*b - 5*b + 5*b) + (-2 + 0 - 6)*(0*b - 3*b + b).
17*b
Expand (-4 + 4 + 1)*(38*v + 41 - 25 - 17) + 3*v - 4*v - v.
36*v - 1
Expand (-3*h - 21*h - 13*h)*(-2*h**2 + 2*h**2 + h**4) + 2*h**5 + h**5 - h**5.
-35*h**5
Expand (-12 + 18 + 90)*(16*b**3 + 12*b**3 - 11*b**3).
1632*b**3
Expand (75 - 258*v**2 - 75 + (-2*v + 2*v + v**2)*(0 + 2 - 3))*(4*v - v + 2*v**3 - 3*v**3).
259*v**5 - 777*v**3
Expand (4*o + o - o)*(19*o**3 - 3*o**3 + 40*o - 42*o).
64*o**4 - 8*o**2
Expand (83 + 32 + 8)*(4*m + 3 - 3)*(0*m**2 + 2*m**3 + 0*m**2).
984*m**4
Expand -4*d + 3*d + 3*d - 251*d + 124*d + 126*d - 33 + (1 - 1 - 1)*(-d + 2*d + d).
-d - 33
Expand -2849*t**4 - 4*t**3 + 4*t**3 + 3690*t**4 + (0 + 2 + 1)*(2*t**4 - 2*t + 2*t).
847*t**4
Expand (-366 - 35 + 25)*(-1 + 1 + 2)*(0*t + 0*t + 2*t).
-1504*t
Expand (2 - 6 + 5)*(-127*q**5 + 98*q - 98*q + 537*q**5).
410*q**5
Expand (-7*c**2 - 7 + 7 + (2 - 4 + 3)*(-3*c + 3*c + 2*c**2) + 2*c**2 - 4*c**2 + 3*c**2 - 4*c**2 + 4*c**2 + 2*c**2 + c**2 - 3*c**2 - c**2)*(-5 + 5 - 2*c**2).
10*c**4
Expand (-57 + 78 - 232 - 81)*(4*s + 0*s - 2*s).
-584*s
Expand 3*n + 0*n - 2*n + ((2 + 4 - 2)*(-3 - 2 + 6) + (2 + 0 - 4)*(-1 + 1 - 1) + 1 + 1 - 3)*(32*n + 51*n - 22*n).
306*n
Expand -l**3 + 0*l**3 - l**3 + l**3 - l**3 + 2*l**3 + (l**2 - 2*l**2 + 2*l**2)*(3 - l - 3) - 2*l**3 - l**2 + l**2 + 1712 - 1712 - 28*l**3.
-31*l**3
Expand (3 - 3 + 5*m + m + m - m - m + 5*m - 3*m + 2*m - m - 2*m + (-2*m - m + 4*m)*(-4 + 3 - 1) - 7*m + 3*m + 2*m)*(-2 - 2 + 2) + (2 - 8 - 6)*(m - 2*m + 2*m).
-16*m
Expand (-4 + 2 - 1)*(-11*q - 5*q + 14*q)*(8*q - 3*q + 3*q).
48*q**2
Expand -3*l**5 + 3*l**5 + 2*l**5 + (2*l - 3*l + 2*l)*(2*l**4 + l**2 - l**2) - 128*l**4 - 731*l**4 - 2*l**5 - 91*l**4.
2*l**5 - 950*l**4
Expand v + 0*v - 2*v - 8 + (2 + 9 - 2)*(-2*v + 2 - 2).
-19*v - 8
Expand -81*k - 283*k + 177*k - 330*k - 190*k + 1 + 4*k - 1 + 2*k + 4*k - 4*k + (3 - 3 - 2)*(-1 - k + 1) - 2*k + 4*k + 0*k + 2 + k - 2.
-696*k
Expand (2*s**2 + 3*s**2 - 3*s**2 + (2 - 2 - s)*(-s - s + 3*s) - 19*s**2 + 2*s**2 - 22*s + 23*s)*(3*s**3 - 2*s**3 - 3*s**3).
32*s**5 - 2*s**4
Expand (-3*q**2 + 7*q**2 - 2*q**2)*(-3*q**3 + 2*q**3 + 4*q**3) + (-7*q**4 + 0*q**4 + 9*q**4)*(1 - 2*q + 2*q + 2*q).
10*q**5 + 2*q**4
Expand (23 + 24 + 2*m - 45)*(-2*m + 0*m + 4*m).
4*m**2 + 4*m
Expand (2*k**2 + 0 + 0)*(0 + 4 + 3) + (2*k - 4 + 4)*(-2*k + k - k) + k**2 - 1 + 1 + (0*k + 2*k - k)*(-k + 2*k + 0*k).
12*k**2
Expand (0*d + 0*d + 4*d)*(-2*d - 2*d + 3*d) + 35*d**2 - 987 + 987.
31*d**2
Expand (0*a - a - 5*a)*(2*a**3 + 5 - 4 - 3)*(2*a + 3*a - 3*a).
-24*a**5 + 24*a**2
Expand (-5*c + 5*c - 2*c**2)*(c - 1 + 3 - 5*c).
8*c**3 - 4*c**2
Expand (-37*r - 40*r - 50*r + 3)*(-r**3 + r**2 - r**2).
127*r**4 - 3*r**3
Expand (14 - 24 - 29)*(-f**2 - 8*f**2 + 3*f**2).
234*f**2
Expand (-2*p + p - 2*p)*(1 - 10 - 6)*(2*p**2 - 2*p**2 - 4*p**2)*(-1 + 3 - 4).
360*p**3
Expand (0*a**3 - a**3 - 4*a**3)*(6*a + 11 - 11)*(12 - 6 - a - 4).
30*a**5 - 60*a**4
Expand -n**2 + n**2 + n**5 + (0*n + 4*n - n)*(-102*n**2 + 21*n**3 + 102*n**2)*(-2 + 2 - n).
-62*n**5
Expand (33*z + 108*z + 25*z)*((-3*z**3 - z**3 + 3*z**3)*(z - z - z) + 4*z**4 - 5*z**4 + 3*z**4).
498*z**5
Expand (404*p - 404*p + 66*p**4)*(6*p - 2*p - 2*p).
132*p**5
Expand (6 - 3 - 2)*(-11*g - 3*g + 4*g)*(0*g**4 - g**4 + 2*g**4).
-10*g**5
Expand -2*p**4 + p - p + (-p**2 - 10*p**2 - 5*p**2)*(-p**2 - 4*p**2 - 2 + 6*p**2).
-18*p**4 + 32*p
|
{
"pile_set_name": "DM Mathematics"
}
|
933*y + 40. Let c(w) = 4*r(w) + 18*x(w). What is the second derivative of c(a) wrt a?
3840*a
What is the second derivative of -3*i - 175*i - 44*i**2 - 7*i + 2*i wrt i?
-88
Let f(a) be the first derivative of -3*a**4/4 - a**2 + 343*a + 391. What is the derivative of f(n) wrt n?
-9*n**2 - 2
Let n(q) = q**2 - q + 1. Let u(t) = -3*t**2 + 2*t + 1. Let b be (1*(-3)/2)/(9/(-12)). Let y(h) = b*n(h) + u(h). Differentiate y(c) wrt c.
-2*c
Let l(q) be the first derivative of 0*q + 0*q**6 + 0*q**4 - 10 + 0*q**2 - 17/3*q**3 - 10/7*q**7 + 0*q**5. Find the third derivative of l(m) wrt m.
-1200*m**3
Let u(l) = 124*l - 699. Let b(h) = 63*h - 351. Let v(c) = 5*b(c) - 2*u(c). Differentiate v(s) wrt s.
67
Let u(v) be the second derivative of 107*v**3/6 - 46*v**2 - 96*v. Differentiate u(t) wrt t.
107
Suppose -2*k + 26 = 2*m, 2*k + m - 3 = 19. Let l(r) = 52*r + 2. Let w be l(0). Find the second derivative of 4*h**5 + 4*h**2 - k*h - 4*h**w + 0*h wrt h.
80*h**3
What is the third derivative of g - g**5 + 10*g**3 + 71*g**2 + 0*g - 5*g**3 wrt g?
-60*g**2 + 30
Let l(m) = -8*m**2 + 3*m + 1. Let z(x) = -8*x**2 + 4*x + 1. Let g = -18 - -14. Let c(u) = g*l(u) + 3*z(u). Differentiate c(t) wrt t.
16*t
Let t(l) = l**4 + 2*l**3 - l**2 + l + 1. Let s(h) = -7*h**4 - 8*h**3 + 4*h**2 - 4*h + 15. Let o(q) = -s(q) - 4*t(q). Find the first derivative of o(d) wrt d.
12*d**3
Let g = 4 + 1. Let v = -27 + 30. What is the second derivative of -g*x**3 + x - 2*x**3 + x**v wrt x?
-36*x
Let w(o) = -o**3 + 14*o**2 - 10*o - 31. Let q be w(13). What is the derivative of -q*g + 760 - 4*g - 738 wrt g?
-12
Let a(s) be the third derivative of 47*s**9/504 - s**5/60 + 13*s**3/2 + 9*s**2 + 4*s. Find the third derivative of a(t) wrt t.
5640*t**3
Let k(h) be the second derivative of -h**6/15 + 43*h**3/3 - 30*h**2 - h - 40. Differentiate k(r) with respect to r.
-8*r**3 + 86
Let p(w) be the first derivative of 0*w - 3*w**3 + 0*w**2 + 0*w**5 + 0*w**6 + 21 + 0*w**4 - 12/7*w**7. Find the third derivative of p(o) wrt o.
-1440*o**3
Let r(s) = -78*s**2 + 4*s - 168. Let l(f) = 79*f**2 - 5*f + 167. Let t(w) = 4*l(w) + 5*r(w). Find the first derivative of t(z) wrt z.
-148*z
Let o(j) = -j**2 + 7*j - 2. Let b be o(6). Let q be ((-6)/b)/((-5)/10). Differentiate -9 + n**q - 3*n**3 + 15 + 0*n**3 wrt n.
-6*n**2
What is the third derivative of -3560*g - 5 + 3560*g + 195*g**3 - 3*g**2 wrt g?
1170
Suppose 0 = -i - 2*i. Let k = 4 - i. What is the first derivative of -9*h**k - 2 + 0 - 2*h**4 wrt h?
-44*h**3
Let j(a) be the third derivative of -27*a**5/20 + 2*a**4/3 - a**3/3 + 5*a**2 + 2*a. Find the second derivative of j(x) wrt x.
-162
Let s = -17 - -26. Let l(z) = -z**2 + 9*z + 12. Let n be l(10). Find the second derivative of -q**2 - 2*q**3 + q**n - s*q + 0*q**3 wrt q.
-12*q
What is the first derivative of 39 + 35 + 104*w**2 - 20 + 87*w**2 wrt w?
382*w
Let g(t) be the second derivative of -t**6/30 - 41*t**5/5 - 2*t**4/3 - t**3/2 - 4*t - 3. Find the third derivative of g(m) wrt m.
-24*m - 984
Find the second derivative of -90*b + 16 + 32*b - 74*b**4 + 62*b wrt b.
-888*b**2
Let d(z) be the first derivative of 90*z**2 - 49*z - 105. What is the first derivative of d(r) wrt r?
180
Let p be 18/3*2/(-4). Let k be (0 + p)/3 - -6. Find the third derivative of -2*c**2 + c**2 + 25*c**k - 30*c**5 wrt c.
-300*c**2
Let b(y) be the third derivative of 16*y**7/35 - y**5/3 + 42*y**2. What is the third derivative of b(g) wrt g?
2304*g
Let k = 37 + -22. Let d = k + -13. What is the third derivative of 4*l**6 + 4*l**2 - l**5 + 3*l**5 - d*l**5 wrt l?
480*l**3
Let v(t) be the first derivative of 58*t**5/5 - 3*t**4/4 - 224*t**3/3 + t**2 - 154. Find the third derivative of v(z) wrt z.
1392*z - 18
Let q be (4 - -1)*(-2)/(-5). What is the second derivative of 5*f**q - f - 3*f**2 - 5*f wrt f?
4
Find the first derivative of 8*w**4 + 10*w**4 + 47 - 14*w**4 - 2*w**3 wrt w.
16*w**3 - 6*w**2
Let y be (0 + 1 + 0)*1. What is the derivative of 7*f + 5*f - 6*f + y wrt f?
6
Let a = -25 + 25. Differentiate -4 + 0 - 14*j + 8*j + a with respect to j.
-6
What is the third derivative of 159*n**5 - 64*n**5 - 67*n**5 + 623*n**2 wrt n?
1680*n**2
Let k(y) be the third derivative of 7*y**6/12 + y**4/12 - 59*y**3/6 + 5*y**2 + 4. Find the second derivative of k(n) wrt n.
420*n
Find the second derivative of 21*b + 78*b**3 - 3*b**2 + 7 + 0*b**2 - 21*b**3 + 0*b**2 + 6*b wrt b.
342*b - 6
Let t be 15/(-25) + (-94)/10. Let l = 13 + t. Find the first derivative of -7*d**4 + 4 + 11*d**l - 11*d**3 wrt d.
-28*d**3
Let w(j) be the second derivative of 385*j**4/12 - 37*j**3/2 + j + 34. What is the second derivative of w(m) wrt m?
770
Let x be 50/6 - (-6)/9. Let b be 38/9 - 2/x. Find the third derivative of j**2 + j**4 + 0*j**b + 3*j**2 - 7*j**2 wrt j.
24*j
Let z(c) = 5*c**2 + 0 + 3 + c**2 - 3*c - 5*c**2. Let o be z(3). Find the third derivative of 5*j**2 - o*j**5 + 3*j**5 + 5*j**5 wrt j.
300*j**2
Let h = -23 + 22. Let j(t) = -9*t - 4. Let s be j(h). What is the second derivative of -4*x**5 + 88*x - 84*x - 4*x**s wrt x?
-160*x**3
Let c be (-11 - -4)*(-36)/84. Let r(i) be the second derivative of 1/3*i**c + 5*i + 0 + 5/2*i**2. Differentiate r(z) with respect to z.
2
Find the first derivative of 11 - 11*f**3 + 53 - 19 - 10*f**3 wrt f.
-63*f**2
Let d(g) be the first derivative of 11*g**8/840 + g**4 - 32*g**3/3 + 31. Let m(l) be the third derivative of d(l). Differentiate m(h) wrt h.
88*h**3
Suppose 7*c - 28 = -0. Find the second derivative of -m**4 - 20*m + 19*m - m**c - 9*m wrt m.
-24*m**2
Let p(d) = -27*d**3 + 5*d - 276. Let u(r) = 13*r**3 - 3*r + 137. Let t(k) = -3*p(k) - 5*u(k). What is the derivative of t(a) wrt a?
48*a**2
Let x(d) be the first derivative of 79*d**5/5 + d**3 - 6*d**2 + 210. Find the third derivative of x(c) wrt c.
1896*c
Let h(v) be the third derivative of 17*v**8/56 + 35*v**4/24 + 3*v**2 + 5*v. Find the second derivative of h(d) wrt d.
2040*d**3
Let v(r) be the first derivative of 81*r**3 - r**2/2 + r + 219. Find the second derivative of v(p) wrt p.
486
Suppose -3*t + 5*b + 26 = 0, -3*b = 4*t - 6*t + 16. Find the third derivative of 2*y**2 + 4*y**6 + t*y**6 - 13*y**2 wrt y.
720*y**3
Let z be 8 + -1 + 0 + -3. What is the first derivative of -71 + 12*q**z + 28*q**4 + 37 wrt q?
160*q**3
Let j be 16/(-2)*11/4. Let i = -9 - j. Differentiate 0 + 10 - 4 - i*a**2 wrt a.
-26*a
Suppose -2*b + 0*b = -16. What is the third derivative of b*f**3 + f**2 - 33*f**3 + 13*f**3 wrt f?
-72
Let y(u) be the second derivative of -55*u**7/14 + 5*u**4/12 + 3*u**3 - 2*u + 16. What is the third derivative of y(v) wrt v?
-9900*v**2
Let n(w) = 32*w - 6. Let m be n(1). What is the third derivative of 17*y**3 + 12*y**6 - m*y**2 - 17*y**3 wrt y?
1440*y**3
Suppose 0 = 2*f - 6, 2*c + f = 22 + 17. Find the second derivative of -50*o**3 + c*o + 0*o + 66*o**3 wrt o.
96*o
Let h(g) be the third derivative of 5*g**8/48 - g**5/20 + 5*g**4/12 + 38*g**2. What is the third derivative of h(p) wrt p?
2100*p**2
Suppose 2*j + 3*j = 15. Let x(y) = 2*y**2 - 2*y - 7. Let v be x(j). Find the second derivative of -14*s + 0*s + 12*s**2 + v*s wrt s.
24
Suppose -2*p = v - 8, 5*p + 14 - 39 = -5*v. Find the second derivative of -5*a**p + 2*a**3 + 7*a - a**3 wrt a.
-24*a
Find the third derivative of -19*m**4 + 5*m**3 - m**3 - 7*m**3 + 1 + 3*m**3 - 2*m**3 + 30*m**2 wrt m.
-456*m - 12
Let v(x) = x - 1. Let s be v(4). Find the first derivative of -2 + 57*a**s + 10*a**4 - 57*a**3 wrt a.
40*a**3
Find the second derivative of 1014*c - c**3 - 9*c**2 + c**3 - 31*c**4 - 425*c wrt c.
-372*c**2 - 18
Suppose -5*i - 15 = 2*f - 4, -5*f + 5*i + 25 = 0. What is the third derivative of -5*b**2 + 20*b**4 + 27*b**f - b**2 wrt b?
480*b
Let z(t) = 2*t**3 + 2*t**2 - 6*t - 4. Let u be z(3). Differentiate -105*w**3 + 5*w**4 + u*w**3 - 48 + 53*w**3 wrt w.
20*w**3 - 6*w**2
Let z(i) = 8*i**2 - 4*i + 3. Let n(x) = 9*x**2 - 4*x + 4. Suppose -3*l + 7 + 2 = 0. Let q(r) = l*n(r) - 4*z(r). Find the second derivative of q(c) wrt c.
-10
Let y(i) be the second derivative of -79*i**7/42 - 655*i**4/12 - 10*i. Find the third derivative of y(o) wrt o.
-4740*o**2
Let p(h) be the first derivative of -28*h**6/3 - 7*h**2/2 + 3*h + 68. Find the second derivative of p(k) wrt k.
-1120*k**3
Find the first derivative of 155*s - 878*s - 59 - 107 - 125 + 2 wrt s.
-723
W
|
{
"pile_set_name": "DM Mathematics"
}
|
(-60).
4
Calculate (-10*(-17)/(-1870))/(2/4).
-2/11
What is the value of 8/5*(-180)/(-72)?
4
What is (18/50)/(12/20)?
3/5
Evaluate 9/(-3)*12/(-9).
4
What is ((-2)/(-24))/(2/(-3))?
-1/8
Calculate 0*((-52)/(-12))/(-13).
0
Calculate (-240)/(-75)*(-30)/36.
-8/3
What is (114/(-76))/(((-3)/(-2))/3)?
-3
Calculate ((-1)/(-2))/1*0/(-4).
0
What is (7/((-735)/(-6)))/(1/5)?
2/7
What is ((-5)/(-10))/((-15)/(-6))*1?
1/5
Calculate (-10)/(-14)*(-56)/(-16).
5/2
Calculate (-4)/10*3*(-305)/122.
3
Evaluate ((-10)/(-25))/((-5)/((-75)/(-1))).
-6
Evaluate ((-126)/63)/((-2)/(-4)).
-4
Calculate 15/((-15)/(-2))*2.
4
What is 2*(-38)/(-228)*-9*1?
-3
Calculate 144/16*2/(-12).
-3/2
Calculate (-1)/1*2*(-35)/280.
1/4
Calculate (-1)/((-9)/6)*(-21)/28.
-1/2
(9/15)/(4/(-20))
-3
What is (3/18*-1)/((-79)/316)?
2/3
Evaluate ((-27)/6)/(-9)*-4.
-2
What is the value of (2/4)/(-2*5/12)?
-3/5
((-2)/3)/(14/21)
-1
What is ((-8)/(-18))/2*(-3)/2?
-1/3
Calculate 16/(-84)*6/4.
-2/7
What is the value of (-9)/(-12)*((-1)/(-1))/9?
1/12
What is the value of ((-21)/(-63))/((-1)/12)?
-4
What is the value of ((-16)/3)/(-4)*(-3)/(-12)?
1/3
Calculate ((-2)/(-5))/(5/(-50)*1).
-4
((-74)/(-333))/((-1)/((-45)/(-12)))
-5/6
What is 2/22*2*1?
2/11
What is 10/(-150)*10/(-3)?
2/9
(-64)/16*(-49)/(-28)
-7
What is (-135)/(-18)*7/(-35)?
-3/2
What is the value of (-1)/((-2)/(-6)*(-12)/(-20))?
-5
Evaluate 5*3/(3/(-1)).
-5
Calculate 49/((-26411)/(-44))*(-14)/4.
-2/7
Calculate (3/36)/(2/3).
1/8
What is (-2)/1*5*2/(-5)?
4
Evaluate 15/(-3)*(-20)/(-50).
-2
What is ((-6)/72)/((-18)/(-48))?
-2/9
What is 9/(-6)*(-13)/((-546)/8)?
-2/7
Calculate 2/1*88/(-44).
-4
((-5)/(-20)*2)/5
1/10
What is the value of ((-5)/(15/18))/(-8)?
3/4
What is the value of (-2)/(8/(-10))*200/(-125)?
-4
-4*(126/120)/(-21)
1/5
Calculate (99/(-6))/11*(-48)/18.
4
Evaluate (((-102)/20)/(-17))/(-3).
-1/10
What is the value of (-18)/36*(-4)/42*-3?
-1/7
((-18)/9)/2*4/(-14)
2/7
(30/(-3))/((-1)/((-2)/(-12)))
5/3
What is the value of (-2)/(-3)*30/(-5)?
-4
((-2)/4)/((36/(-6))/48)
4
Evaluate (-2)/11*2*(-5)/10.
2/11
Evaluate -1*(2/5)/(2/5).
-1
Evaluate (-10)/4*(-64)/40.
4
(4/(-6)*2)/((-16)/(-24))
-2
-2*6/18*(-57)/(-152)
-1/4
((-9)/(-6))/((-1)/4)
-6
What is ((-16)/324)/((-6)/(-9))?
-2/27
Evaluate (-114)/(-76)*2/(-3).
-1
What is 35*6/(-75)*(-20)/(-8)?
-7
What is the value of ((125/30)/(-25))/((-2)/4)?
1/3
What is ((192/80)/3)/(14/5)?
2/7
What is the value of (-42)/4*(-648)/756?
9
Calculate ((-2)/7)/((-264)/(-1056)).
-8/7
Calculate (20/(-2))/((-16)/8).
5
Evaluate (-1*(-27)/36)/(30/16).
2/5
What is the value of ((-3)/12)/(4/((-128)/60))?
2/15
Calculate 4*20/10*1/(-2).
-4
What is the value of (-2)/(-14)*42/(-6)?
-1
Calculate 10/(-4)*((-64)/(-340))/4.
-2/17
What is the value of -10*(-2)/(-8)*2?
-5
Calculate (-1)/(((-63)/3)/(-3)*-1).
1/7
What is (-4)/(-14)*189/81?
2/3
(75/5)/(-5)*(-6)/(-81)
-2/9
Calculate 2/(9/((-225)/10)).
-5
Evaluate -1*10/(-15)*3.
2
Evaluate ((-8)/54)/(10/(-45)).
2/3
What is ((-45)/(-5))/(((-4)/4)/(-1))?
9
What is 10/(-9)*3*2/(-15)?
4/9
Calculate (((-45)/27)/5)/(5/45).
-3
What is (((-90)/(-25))/(-3))/((-4)/(-20))?
-6
Calculate ((-126)/48)/7*6/9.
-1/4
Evaluate 5/(((-3)/(-3))/((-3)/9)).
-5/3
What is (1/2)/((368/(-96))/23)?
-3
What is the value of (-99)/((-9)/3)*36/(-108)?
-11
(74/185)/(1/(-5))
-2
Calculate ((-3)/10)/(2/(-4)).
3/5
Calculate (6/(-9))/(3/(81/(-30))).
3/5
14/(-2)*(-18)/(-21)
-6
Calculate (11/110)/(15/(-20)).
-2/15
What is the value of (3/6*-4)/(-2)?
1
Calculate (6/(-10))/((-50)/250).
3
What is (168/(-112))/(3/(-6))?
3
What is the value of (-12)/(-3)*7/(49/7)?
4
Evaluate (21/(-7))/(1/((-5)/(-5))).
-3
What is (-70)/(-10)*11/231?
1/3
What is ((-26)/(-273))/((-1)/((-3)/1))?
2/7
Evaluate 3/27*2*(-21)/(-14).
1/3
What is the value of (0/(-2*1))/((-34)/(-17))?
0
((-32)/4)/((-2)/1)
4
What is (-24)/(-18)*1/(-10)?
-2/15
Evaluate 1*2/(-30)*-3.
1/5
What is the value of ((-22)/((-1188)/(-90)))/(2/6)?
-5
Evaluate 108/(-45)*5/3.
-4
Evaluate (-2)/4*-4*39/(-13).
-6
Evaluate 1/(5/((-30)/21)).
-2/7
Calculate (52/12)/13*45/(-3).
-5
Evaluate (85/(-102))/((-2)/(-6))*-2.
5
Evaluate ((-2)/(-4))/(58/812).
7
Calculate (3/(-12))/(3/6).
-1/2
Calculate 1/5*25*-1.
-5
(33/55)/((-3)/(-15))
3
2/6*6/2
1
What is the value of -10*(-8)/(-32)*(-2)/(-6)?
-5/6
Evaluate (-5)/((-130)/182)*(-2)/2.
-7
((-6)/4*-2)/((-20)/(-12))
9/5
What is (40/(-24))/((-250)/60)?
2/5
Evaluate 4/70*30/12.
1/7
What is the value of 1*1*4/44*-1?
-1/11
What is the value of (1/(-24))/(21/63)?
-1/8
Calculate 2*5/(30/(-3)).
-1
What is 56/4*(-12)/42?
-4
Evaluate ((-8)/2)/(12/6).
-2
Evaluate (-4*1/6)/(10/3).
-1/5
What is (5/(-2))/((-2)/4)?
5
(-6)/(-2)*15/(-105)
-3/7
What is (-14)/6*-8*(-3)/(-42)?
4/3
What is ((-4)/70)/(81/810)?
-4/7
Calculate (4/(-6))/(14/(-7)).
1/3
What is the value of ((-1)/(-6))/1*1*2?
1/3
Calculate (20/120)/(9/(-12)*1).
-2/9
Evaluate 5/34*240/300.
2/17
Calculate (-2*-1*(-1)/4)/(-1).
1/2
Calculate ((-4)/(-2))/((-168)/(-420)).
5
Evaluate (-2)/4*(-240)/(-280).
-3/7
Calculate (-3)/30*8/(2/1).
-2/5
(422/4431)/(8/(-14))
-1/6
Evaluate (-1)/(-1)*0/12.
0
Evaluate (-3)/(-1)*(-292)/(-1314).
2/3
(4/(-10))/(((-3)/15)/1)
2
Evaluate (0/1)/(549/183).
0
Calculate (-10)/(14/(21/(-3))).
5
What is the value of ((-6)/3)/(-2)*(-8)/(-56)?
1/7
What is ((-64)/160)/((-48)/10)*4?
1/3
What is the value of ((-18)/(-5))/(49/(1715/(-14)))?
-9
Calculate (-21)/(-4)*88/66.
7
What is (-12)/5*1510/(-3171)?
8/7
2/15*(-66)/(-44)
1/5
What is the value of (2/(-10))/(-5*1/(-25))?
-1
((-30)/6)/(8/(-8))
5
Evaluate 1*3/(-3)*9/(-3).
3
(-14*20/1050)/((-1)/6)
8/5
-3*1/9*1*-1
1/3
Calculate ((-3)/(-1))/((-6)/((-16)/8)).
1
What is the value of (0/1)/((-6)/3)?
0
Evaluate (-4)/(20/(-15))*11/(-77).
-3/7
(20/(-15))/((-52)/6)
2/13
Calculate ((-2)/18)/(24/(-48)).
2/9
198/(-330)*(-2)/((-4)/(-10))
3
Calculate ((-4)/6)/((-30)/(-9)).
-1/5
Evaluate ((-18)/(-4))/((-1)/(-2)).
9
What is the value of -1*-14*(-5)/(-10)?
7
Calculate 0/(-1)*5/((-25)/(-5)).
0
What is ((-3)/9)/((-12)/48)?
4/3
Evaluate 0/((-3)/((-3)/2)).
0
What is the value of ((-2)/8)/(8/(16/(-2)))?
1/4
What is the value of (3*-2)/((-579)/(-386))?
-4
(6/162)/(2/12)
2/9
15*1*1/(-3)
-5
What is 21/(-9)*18/(-21)?
2
(8/6)/(60/(-135))
-3
Calculate (3/(30/(-8)))/(4/(-10)).
2
What is the value of (-3*((-32)/9)/(-8))/(-4)?
1/3
What is ((-63)/147)/(1/(7/4))?
-3/4
What is (9/15)/(5/(-25))*1?
-3
Calculate ((-15)/(-12))/((-15)/(-15)).
5/4
Evaluate (240/(-21))/8*7.
-10
Calculate 2/((-8)/((-32)/4)).
2
Evaluate (8/2)/((-18)/6).
-4/3
Evaluate ((-754)/377)/(-2*(-2)/(-16)).
8
Calculate (((-3)/(-9))/1)/(52/(-468)).
-3
Calculate ((-2)/1)/(22/(-33)).
3
What is (1/(-5))/(54/90)*3?
-1
What is 15/16*((-440)/33)/(-10)?
5/4
What is the value of (-4*2/(-8))/(-1)?
-1
What is the value of (23/6)/23*12/(-8)?
-1/4
What is the value of 4/14*350/(-25)?
-4
Evaluate ((-20)/14)/((-96)/(-168))*2.
-5
What is the value of (144/24)/((-6)/4)?
-4
What is the value of (-77)/(-2)*322/1771?
7
Calculate ((-8)/(-16)*-2)/1.
-1
Calculate ((-2)/(-12))/((-20)/150*5).
-1/4
Calculate 3/(-6)*(-1)/(-2).
-1/4
What is the value of (4/6)/((-140)/(-84))?
2/5
What is the value of 3/(-1)*(-10)/6?
5
What is the value of 4*(-2)/(-32)*-1?
-1/4
Calculate (-174)/(-58)*((-2)/15)/1.
-2/5
What is the value of 11/((-726)/(-9))*8/6?
2/11
Calculate (-3)/(-9*(-3)/18).
-2
What is the value of -6*1/8*16/78?
-2/13
What is (9/6)/(15/(-20))?
-2
What is the value of (-1)/(12/(-3))*0?
0
What is the value of (-24)/64*((-1)/1)/3?
1/8
What is the value of (-4)/((-60)/(-3))*(-1)/(-1)?
-1/5
What is ((-11)/33)/(-1*1/12)?
4
Evaluate ((-4580)/1603)/((-5)/2).
8/7
What is the value of (196/(-84))/((-2)/(-12)*-2)?
7
(-3*(-4)/56)/((-18)/(-21))
1/4
What is the value of (16/(-6))/1*(-435)/9860?
2/17
Evaluate (-6*4/(-180))/((-3)/(-15)).
2/3
What is the value of (0/11)/(6/3)?
0
((-6)/(-96)*-20)/(1/4)
-5
Evaluate (5/(200/(-12)))/((-18)/48).
4/5
-1*(-1)/(4/((-12)/(-3)))
1
6*((-6)/(-12))/(6/(-18))
-9
Evaluate 2*(-2)/14*106/212.
-1/7
(-1)/2*(-12)/(-18)
-1/3
Evaluate (-2)/4*136/34.
-2
What is (6/(-55))/((-11)/55)?
6/11
Calculate ((16/(-4))/(-4))/((-65)/(-13)).
1/5
Calculate (-6)/15*2/(-2)*5.
2
Calculate (4/3)/((-2)/6).
-4
Evaluate (78/13)/(3/2).
4
Evaluate (-2)/(-55)*(-80)/128*-8.
2/11
Calculate (36/(-15))/6*5.
-2
Evaluate (-1)/((-8)/32*-12).
-1/3
Calculate ((-4)/(-15))/(16/40).
2/3
Eva
|
{
"pile_set_name": "DM Mathematics"
}
|
1/7, to the nearest integer?
5
What is 4760 to the power of 1/3, to the nearest integer?
17
What is the fifth root of 144 to the nearest integer?
3
What is 2708 to the power of 1/3, to the nearest integer?
14
What is the third root of 1121 to the nearest integer?
10
What is 10911 to the power of 1/4, to the nearest integer?
10
What is 2073 to the power of 1/10, to the nearest integer?
2
What is the cube root of 27574 to the nearest integer?
30
What is 130409 to the power of 1/8, to the nearest integer?
4
What is 319 to the power of 1/2, to the nearest integer?
18
What is the ninth root of 17697 to the nearest integer?
3
What is the square root of 3776 to the nearest integer?
61
What is the seventh root of 2917 to the nearest integer?
3
What is the cube root of 11043 to the nearest integer?
22
What is the ninth root of 29235 to the nearest integer?
3
What is 962 to the power of 1/2, to the nearest integer?
31
What is the square root of 1004 to the nearest integer?
32
What is 4131 to the power of 1/2, to the nearest integer?
64
What is the ninth root of 1098 to the nearest integer?
2
What is the square root of 666 to the nearest integer?
26
What is the tenth root of 48968 to the nearest integer?
3
What is 6116 to the power of 1/2, to the nearest integer?
78
What is the fourth root of 65668 to the nearest integer?
16
What is the cube root of 2745 to the nearest integer?
14
What is the third root of 1218 to the nearest integer?
11
What is 114 to the power of 1/4, to the nearest integer?
3
What is 50237 to the power of 1/3, to the nearest integer?
37
What is 967 to the power of 1/3, to the nearest integer?
10
What is 294 to the power of 1/3, to the nearest integer?
7
What is the third root of 5336 to the nearest integer?
17
What is 3533 to the power of 1/2, to the nearest integer?
59
What is 1912 to the power of 1/2, to the nearest integer?
44
What is 21940 to the power of 1/6, to the nearest integer?
5
What is the cube root of 26060 to the nearest integer?
30
What is 44436 to the power of 1/2, to the nearest integer?
211
What is the sixth root of 853 to the nearest integer?
3
What is the cube root of 122933 to the nearest integer?
50
What is 783 to the power of 1/4, to the nearest integer?
5
What is 9659 to the power of 1/7, to the nearest integer?
4
What is the square root of 8494 to the nearest integer?
92
What is the cube root of 88393 to the nearest integer?
45
What is the square root of 658 to the nearest integer?
26
What is the third root of 7812 to the nearest integer?
20
What is the seventh root of 953 to the nearest integer?
3
What is 61348 to the power of 1/8, to the nearest integer?
4
What is 64530 to the power of 1/3, to the nearest integer?
40
What is the cube root of 944 to the nearest integer?
10
What is the square root of 961 to the nearest integer?
31
What is the cube root of 22743 to the nearest integer?
28
What is the fourth root of 168824 to the nearest integer?
20
What is 79844 to the power of 1/9, to the nearest integer?
4
What is the square root of 730 to the nearest integer?
27
What is 117103 to the power of 1/2, to the nearest integer?
342
What is the seventh root of 8270 to the nearest integer?
4
What is 830 to the power of 1/5, to the nearest integer?
4
What is the square root of 1943 to the nearest integer?
44
What is the sixth root of 6614 to the nearest integer?
4
What is the fourth root of 1788 to the nearest integer?
7
What is 1926 to the power of 1/4, to the nearest integer?
7
What is the cube root of 1729 to the nearest integer?
12
What is the square root of 482 to the nearest integer?
22
What is the seventh root of 35949 to the nearest integer?
4
What is 1345 to the power of 1/10, to the nearest integer?
2
What is the third root of 12354 to the nearest integer?
23
What is the sixth root of 23078 to the nearest integer?
5
What is 3052 to the power of 1/5, to the nearest integer?
5
What is 15949 to the power of 1/2, to the nearest integer?
126
What is the seventh root of 17226 to the nearest integer?
4
What is 55558 to the power of 1/9, to the nearest integer?
3
What is the cube root of 6314 to the nearest integer?
18
What is the cube root of 16228 to the nearest integer?
25
What is the sixth root of 1086 to the nearest integer?
3
What is the third root of 79474 to the nearest integer?
43
What is the square root of 587 to the nearest integer?
24
What is 18166 to the power of 1/6, to the nearest integer?
5
What is the ninth root of 49178 to the nearest integer?
3
What is 6995 to the power of 1/2, to the nearest integer?
84
What is the eighth root of 1730 to the nearest integer?
3
What is the ninth root of 9465 to the nearest integer?
3
What is 792 to the power of 1/2, to the nearest integer?
28
What is 151 to the power of 1/2, to the nearest integer?
12
What is the fourth root of 47764 to the nearest integer?
15
What is 2301 to the power of 1/10, to the nearest integer?
2
What is 456 to the power of 1/3, to the nearest integer?
8
What is 2944 to the power of 1/2, to the nearest integer?
54
What is the sixth root of 57874 to the nearest integer?
6
What is 45822 to the power of 1/2, to the nearest integer?
214
What is the cube root of 8371 to the nearest integer?
20
What is the square root of 21278 to the nearest integer?
146
What is the third root of 4102 to the nearest integer?
16
What is the fourth root of 1925 to the nearest integer?
7
What is 8128 to the power of 1/2, to the nearest integer?
90
What is the square root of 8385 to the nearest integer?
92
What is the third root of 1189 to the nearest integer?
11
What is the eighth root of 73843 to the nearest integer?
4
What is the square root of 76838 to the nearest integer?
277
What is 12842 to the power of 1/2, to the nearest integer?
113
What is 1031 to the power of 1/2, to the nearest integer?
32
What is the third root of 4399 to the nearest integer?
16
What is 155412 to the power of 1/3, to the nearest integer?
54
What is the eighth root of 226 to the nearest integer?
2
What is the tenth root of 1332 to the nearest integer?
2
What is 506 to the power of 1/2, to the nearest integer?
22
What is 69990 to the power of 1/2, to the nearest integer?
265
What is 170 to the power of 1/5, to the nearest integer?
3
What is 1666 to the power of 1/2, to the nearest integer?
41
What is the third root of 53109 to the nearest integer?
38
What is 358 to the power of 1/3, to the nearest integer?
7
What is the tenth root of 454 to the nearest integer?
2
What is the eighth root of 4398 to the nearest integer?
3
What is 2417 to the power of 1/9, to the nearest integer?
2
What is the square root of 155928 to the nearest integer?
395
What is the fourth root of 4065 to the nearest integer?
8
What is the square root of 2980 to the nearest integer?
55
What is 64567 to the power of 1/2, to the nearest integer?
254
What is the square root of 4464 to the nearest integer?
67
What is 2868 to the power of 1/3, to the nearest integer?
14
What is the third root of 120962 to the nearest integer?
49
What is the fifth root of 19714 to the nearest integer?
7
What is the fourth root of 13172 to the nearest integer?
11
What is the seventh root of 259 to the nearest integer?
2
What is the square root of 2976 to the nearest integer?
55
What is the seventh root of 71870 to the nearest integer?
5
What is 14959 to the power of 1/3, to the nearest integer?
25
What is 878 to the power of 1/9, to the nearest integer?
2
What is 31651 to the power of 1/2, to the nearest integer?
178
What is the square root of 2778 to the nearest integer?
53
What is the square root of 2081 to the nearest integer?
46
What is 71829 to the power of 1/5, to the nearest integer?
9
What is the square root of 504 to the nearest integer?
22
What is the square root of 722 to the nearest integer?
27
What is the cube root of 24939 to the nearest integer?
29
What is the sixth root of 4536 to the nearest integer?
4
What is 26447 to the power of 1/8, to the nearest integer?
4
What is the third root of 951 to the nearest integer?
10
What is the tenth root of 5243 to the nearest integer?
2
What is the ninth root of 44089 to the nearest integer?
3
What is the sixth root of 9851 to the nearest integer?
5
What is the cube root of 47174 to
|
{
"pile_set_name": "DM Mathematics"
}
|
for q.
-3
Solve 4 = j + s, -3*s - 12 = j - 6*s for j.
0
Solve v = -4*b - 9, 5*b - 3*v + 8 = 1 for b.
-2
Solve 4*j - t = -7, -6*j + 2*j + 3 = -3*t for j.
-3
Solve 2*r = 5*n + 22, -7 = -5*r - 2 for n.
-4
Solve -3*u = u + 3*x - 9, 4 = 2*u + 2*x for u.
3
Solve 4*l + 0 = 2*b + 6, 0 = 2*l for b.
-3
Solve -4*b + 9*b + 5*k = -20, 12 = -3*k for b.
0
Solve 2*u + 4 = -0*k + 4*k, -3*k + 17 = 2*u for u.
4
Solve 2*g + 3*f = 0, -f + 11 = -g + 3*f for g.
-3
Solve -b = -2*u - 6, -5*u + 2 = -5*b + 17 for b.
0
Solve 5*v = 3*t + 40, v + 30*t - 27*t = -10 for v.
5
Solve 5*t + 10 - 34 = -2*q, 0 = 4*t - 3*q - 33 for t.
6
Solve 0 = 59*a - 54*a + 5*s - 20, -4*a - 3*s = -16 for a.
4
Solve 3*i = c + 5, 2*i + 11 = 5*c + 5*i for c.
1
Solve -y - 4 = 2*m, 21 = -4*m + 5 for y.
4
Solve -16 = 2*n - 4*v, 4*n - 45*v + 20 = -43*v for n.
-4
Solve -3*v - 2 = 5*i - 11, -5*v - 2*i - 4 = 0 for v.
-2
Solve -5*p - 1 = g, 5*p + 5 = g - 4 for g.
4
Solve f + 3*j - 7 = 0, -j - 9 = 4*f - 26 for f.
4
Solve -77*w = -81*w - 4*m - 32, -4*m - 32 = 3*w for w.
0
Solve -5*i + 0*q + 25 = 5*q, 0 = -4*i - q + 17 for i.
4
Solve -2*l + 18 = -4*z, -5*l - 1 = -3*z - 32 for l.
5
Solve -5*g + 3*j + 9 = -2*g, -2*j - 6 = g for g.
0
Solve -3*p = i - 7, -3*i + 5*i + 3*p - 2 = 0 for i.
-5
Solve -4*q = -2*r - 6, 3*r - 5*q = -4 - 6 for r.
-5
Solve -4*j = -7*k + 3*k + 20, -5*k - 4*j + 25 = 0 for k.
5
Solve -2*f - 5 = 3*c + 2, -5*f - 2*c = 12 for f.
-2
Solve 10*j - 5*j + 6 = 2*q, -5*q = 2*j - 15 for j.
0
Solve 5*r - 20 = m, 5*r - 4*m - 35 = -0*m for r.
3
Solve -3*m = 5*v - 7*m - 27, 15 = 4*v - m for v.
3
Solve n + 4 = 2*p, 12*n - p - 16 = 7*n for n.
4
Solve -2*x - 2 = 3*l, -3*x + 20 + 7 = -3*l for x.
5
Solve -3*t = -2*m + 7, 2 + 8 = 5*t + m for t.
1
Solve 0 = 2*k - 0*n + n + 7, k + n + 3 = 0 for k.
-4
Solve 2*p = 3*k - 7, 13*p - 9*p + 12 = 4*k for k.
1
Solve 0 = 2*p + 2*x, -p = -3*p - 4*x + 8 for p.
-4
Solve -d + 4*l - 3 = 14, 3*d - 3*l = -24 for d.
-5
Solve 2*r + 1 = 5*k - 14, k + 4*r + 19 = 0 for k.
1
Solve -3*w = -z, 4*z = w - z for w.
0
Solve -4*o - 20 = 4*r, 5*r - 4*r = -3*o - 9 for r.
-3
Solve 3*p + 4*f = 4, 31*p - 27*p + 4*f - 8 = 0 for p.
4
Solve 8*u = 11*u + 4*m - 12, -4*u - 3*m + 9 = 0 for u.
0
Solve 5*w + 16 = 4*r + w, 0 = 5*r + 5*w + 10 for r.
1
Solve 2*y - 17 = 3*r - 3, -2*r = 2*y + 6 for r.
-4
Solve -2*u - 2*w = -6, 0 = 2*u + w + 4*w - 18 for u.
-1
Solve -2*z - 12 = 4*r, 0 = -41*z + 42*z - 2 for r.
-4
Solve -3*o = 3*h - 9, o - 3 = -11*h + 14*h for h.
0
Solve 3*j - 9 = 0, -p - 2*j = 2 - 8 for p.
0
Solve 45*g = 44*g - 1, -3*m + 4*g + 4 = 0 for m.
0
Solve 5*s + 5 = -0*s + 4*l, l = 0 for s.
-1
Solve -5*u = -3*h - 20, -11*h = u - 14*h - 16 for u.
1
Solve 4*z + 16 = -2*u, 4*u + 7 + 9 = 0 for z.
-2
Solve -5 = -u - 1, 0 = -3*w + 3*u + 9 for w.
7
Solve 0 = 5*p + 2*u + 23, -2*p = 35*u - 30*u + 26 for p.
-3
Solve -4*a + f - 23 = 0, 4*a + 16 = 2*a - 4*f for a.
-6
Solve -4*l + 4*x = 24, 2*l + 4*x = 3*x for l.
-2
Solve -2*i - 3*w - 2 = 0, 16*w = 5*i + 15*w - 12 for i.
2
Solve -4*s + 21 = 5*i, -35*i - 4*s = -31*i - 20 for i.
1
Solve 4*t = -3*b - 25 + 7, -t - 7 = 2*b for t.
-3
Solve 5*d + 5 = -3*w, -4*w + w = -4*d + 23 for d.
2
Solve -2*c = p + 3, -2*p = c - 7 + 1 for c.
-4
Solve a = -h - 0*a + 2, h - 14 = 3*a for h.
5
Solve -2*z + 0*z - 6 = 3*r, 0 = -3*r for z.
-3
Solve -37 = -5*r - 3*f, r - 5*f = 2*r - 25 for r.
5
Solve 5*o - 14*z + 10*z - 15 = 0, o = 4*z + 19 for o.
-1
Solve 11 = z - 3*c, -z + 2*c - 1 + 8 = 0 for z.
-1
Solve -d + 12 = 3*k, -3*d + 2*k + 10 = 18 for d.
0
Solve -66*r = -61*r + 3*n + 2, 3*r + 3*n = 0 for r.
-1
Solve 0 = -3*a - 0*o + 3*o - 6, 4*o = -4 for a.
-3
Solve 2*d + 6 = -5*a + 9*a, -3*a + 4 = -d for d.
-1
Solve -o - 3*j = -18, 3*o - 2*j + 6 = j for o.
3
Solve 2*l = 3*c + 2, 4*l - 4 = -c - 4*c for l.
1
Solve 3*p = 5*y - 17, 7 = -0*p - 3*p - 5*y for p.
-4
Solve -3*y = -h + 9 + 11, 2*h + 10 = -4*y for y.
-5
Solve 0 = -4*k + u + 4, 4*u + 2 = -k + 3 for k.
1
Solve d = b + 1, 0 = 6*d - 8*d - 2*b + 10 for d.
3
Solve -5*a - 3*v - 9 = 5, -v - 7 = 4*a for a.
-1
Solve -6 = -r + 27*t - 24*t, -t = 3*r - 8 for r.
3
Solve 0 = -3*z, -12*z - 20 = 4*a - 7*z for a.
-5
Solve -5*s = -5*f + 3*f - 15, -4*s = -2*f - 10 for f.
5
Solve 2*q + 18 = -m + 10, -3*m = -q - 18 for m.
4
Solve 2*s = 2, 10*i - 5*i - 3*s = -8 for i.
-1
Solve -3*v - 12 = v - 2*z, 5*v + 2*z - 3 = 0 for v.
-1
Solve -5*d - 3 = -o + 17, o = -5*d - 20 for o.
0
Solve 5 = 5*b, -p - b = -2*p - 3 for p.
-2
Solve 2*p = 32*f - 31*f + 7, 3*p = -f + 3 for p.
2
Solve 0*m + 15 = -2*w + m, -5 = -2*w - 3*m for w.
-5
Solve j = 5*p - 9, 5*j + 8 - 3 = 5*p for j.
1
Solve 3*k - 6 = -3*x, k + 0*k = -5*x - 2 for k.
3
Solve -5*m - 25 = 0, -5*m - 43 = -2*w - 8 for w.
5
Solve 5*t - 2*x + 14 = t, -12 = 3*t - 3*x for t.
-3
Solve 0 = 5*p - 0*p + 3*s - 5, -2*s = -2*p + 18 for p.
4
Solve 7*k = -10*b + 8*b - 14, -4*b + 2*k = -4 for b.
0
Solve -2*i + 270*d = 271*d - 3, 20 = 4*d for i.
-1
Solve -m - 4 = -c, -c + 13*m - 15*m + 7 = 0 for c.
5
Solve -c + 21 = -5*b, -14 + 9 = -3*b + 5*c for b.
-5
Solve -a - 3*s + 5 = 0, 32*a + 4*s = 28*a + 4 for a.
-1
Solve -4*n - s - 6 - 15 = 0, 0 = 3*n - 3*s + 12 for n.
-5
Solve -3*f + 4*q = -15, q + 3*q = -5*f - 7 for f.
1
Solve 3*q + 86 = 5*w + 105, 5*w + 13 = q for q.
3
Solve w = 3*b - 8*b, 0 = -3*w - b + 14 for w.
5
Solve -3 = -c + g, 4*g - 48 = -c - 55 for c.
1
Solve 5*z = 5*j - 16 - 9, -4*j + 3*z = -18 for j.
3
Solve -4*b + 21 = -5*g, 0 = 2*g - 5*b + 2*b + 14 for g.
-1
Solve -20 = 2*c - 4*y, 0 = 3*c - 5*y + 45 - 20 for c.
0
Solve -26*k = -21*k - 2*y + 2, 3*k - y = -1 for k.
0
Solve 5*u + 19 = 4*t, u - 4*t + 8*t - 1 = 0 for u.
-3
Solve -6 = -2*h, -4*q - 5*h + 3 = -8 for q.
-1
Solve 0 = 3*z - 3, -l = -5*z - 33 + 37 for l.
1
Solve -s = -0*s + 3*g + 2, 3*s + 2*g = -13 for s.
-5
Solve 1 = 9*b - 6*b - 2*i, -2*b = -5*i - 8 for b.
-1
Solve 5*b + 18*j - 33 = 14*j, -5*b + 4*j = -17 for b.
5
Solve 8*o - 20 = 4*n + 5*o, -15 = 3*n - 4*o for n.
-5
Solve -4*k + v = 4, 5*k + 5 = -38*v + 37*v for k.
-1
Solve f + 2*x - 20 = -29, -4*f - 2*x = 12 for f.
-1
Solve 0 = 2*p + 2*p + 3*g - 5, 0 = -2*p + 3*g - 11 for p.
-1
Solve 0*y - 4 = 2*y, -5*h + 2*y = -4 for h.
0
Solve 0 = -5*t + 2*d - 17, -4*d - 4 - 2 = -2*t for t.
-5
Solve 0*b = -3*b, d - 2*b = 1 for d.
1
Solve -4*r = 4*a - 20, -9 = -0*r - 2*r - a for r.
4
Solve 0 = 5*s - 12*o + 14*o - 8, 12 = -2*s + 3*o for s.
0
Solve 4*l + 5*j = 26, 3 = 3*l - 5*j + 1 for l.
4
Solve -10*z = 3*k - 7*z - 30, 4*k = z + 15 for k.
5
Solve 0*n + 4 = -m + n, 17 = -5*m + 2*n for m.
-3
Solve -4*a + 7*a + 5*p = 32, 5*p - 16 = a for a.
4
Solve 3*l = -105*h + 103*h - 8, -h - 2 = l for l.
-4
Solve 5*y + 3*a - 14 - 6 = 0, 2*y - 8 = -4*a for y.
4
Solve 4*b + 3*a = 32, a - 14 = -2*b - 0*a for b.
5
Solve 11 = 5*d - p, -3*d + 2 = 3*p + p for d.
2
Solve 4*j - 12 = -2*i, i - 10 = -4*j - 0*j for i.
2
Solve 0 = 2*i + 5*p - 2*p + 4, p = -4*i + 12 for i.
4
Solve -4*b - f = 4, -6*b - 5 = -b + 5*f for b.
-1
Solve 3*s + 9 = -2*y, s - y + 4*y + 3 = 0 for s.
-3
Solve -6 = o + 3*j, 5*o - 37 + 48 = 4*j for o.
-3
Solve -2*m = 2*a - 6, 6*a - 14 = 2*a - 5*m for a.
1
Solve -4*l = -2*l - 2*a + 8, 2*l = -3*a - 3 for l.
-3
Solve -2*n + 1 = d, -31*n + 14 = -28*n - d for n.
3
Solve -3*p + 4*i - 6 = -0, 3*i = -2*p + 13 for p.
2
Solve -2*v = 2*a - 12, a + 0*a - 12 = -4*v for v.
2
Solve 15 = -5*u + 2*c, -10*c + 5*c - 12 = 4*u for u.
-3
Solve 0 = -2*c + 10, -c + 3*c - 8 = -l for l.
-2
Solve 0 = -3*r + 6, -12 + 5 = -5*q - r for q.
1
Solve 4*x + 36*g - 40*g + 4 = 0, 3*x + 7 = 2*g for x.
-5
Solve 2*a - 3*y = -3, a - 4*y + 0*y + 4 = 0 for a.
0
Solve 4*x = 4*h + 97 - 73, -2*x + 18 = -4*h for h.
-3
Solve 0 = -2*u + 4*h, 10*u - 5*u - 3*h = 7 for u.
2
Solve 0 = 2*n + 4*b - 20, -7*b - 22 = -5*n - 10*b for n.
2
Solve 23*f + x = 24*f, 0 = x - 4 for f.
4
Solve -2*z + 2 = 0, 15 = -k + 3*k + 5*z for k.
5
Solve v - 3 = 0, 24*f + 3*v = 21*f + 18 for f.
3
Solve -h = -5*a, -2*a = h - 5*a for h.
0
Solve -4*k + 3*b + 126 = 138, 3*k - 4*b + 9 = 0 for k.
-3
Solve -2*i = -3*k + 13, -i - 3*k + 1 = 3 for i.
-5
Solve -o = -3, -4*o = 4*v + o - 31 for v.
4
Solve -4*a + 12 = -0*a, 5*h - 16 = -2*a for h.
2
Solve -269*z - 5*t = -266*z + 25, 2*t = -4*z - 24 for z.
-5
Solve -2*z - p = 8, -2*p = 4*z - 3*p + 10 for z.
-3
Solve -5*g = -c + 2 - 1, 4 = 4*c for g.
0
Solve 4*i - u = 23, 6*i - i = 5*u + 40 for i
|
{
"pile_set_name": "DM Mathematics"
}
|
12) in base 6?
44454
What is 100010000 (base 2) in base 3?
101002
What is -1011021 (base 3) in base 12?
-5a4
What is 6224 (base 11) in base 16?
203e
520 (base 16) to base 12
914
Convert -1012020 (base 3) to base 4.
-31212
What is -671 (base 9) in base 4?
-20212
What is -1d0 (base 16) in base 11?
-392
Convert -442 (base 12) to base 7.
-1553
Convert -10216 (base 8) to base 14.
-178a
3d1 (base 15) to base 8
1547
What is -212310 (base 4) in base 7?
-10146
What is -1001010010 (base 2) in base 3?
-211000
-222 (base 13) to base 5
-2431
What is -2414333 (base 5) in base 2?
-1010111110101000
Convert 3a01 (base 12) to base 2.
1100111100001
What is 1050 (base 8) in base 12?
3a0
Convert 243 (base 16) to base 14.
2d5
What is -111010110000 (base 2) in base 10?
-3760
463 (base 9) to base 13
234
Convert -9c5 (base 13) to base 9.
-2268
-412a (base 12) to base 2
-1101110110010
Convert 10131102 (base 4) to base 10.
18258
Convert 3630 (base 15) to base 12.
6800
Convert 1495 (base 15) to base 10.
4415
What is -2384 (base 13) in base 7?
-20414
Convert -2b (base 16) to base 6.
-111
39a1 (base 15) to base 12
7151
Convert 111 (base 16) to base 4.
10101
Convert -179 (base 11) to base 13.
-12c
3122110 (base 4) to base 7
55510
What is -6490 (base 10) in base 12?
-390a
Convert -9cc (base 15) to base 13.
-1017
Convert 6 (base 7) to base 15.
6
7c (base 14) to base 9
132
19279 (base 10) to base 12
b1a7
7207 (base 11) to base 12
5652
What is -7120 (base 12) in base 3?
-121211020
133 (base 14) to base 7
463
What is -1517 (base 11) in base 9?
-2611
Convert 1121002 (base 3) to base 9.
1532
-3b0 (base 13) to base 11
-541
Convert 4931 (base 11) to base 10.
6447
7ab (base 13) to base 8
2454
Convert -111010011001100 (base 2) to base 4.
-13103030
Convert -100111010 (base 2) to base 15.
-15e
-23041 (base 7) to base 8
-13344
Convert 4156 (base 10) to base 15.
1371
31213 (base 4) to base 16
367
11220102 (base 3) to base 13
1820
Convert 39ea (base 15) to base 9.
17864
Convert 13566 (base 7) to base 5.
104343
What is -370 (base 8) in base 6?
-1052
-1b28 (base 13) to base 6
-30534
What is 126 (base 7) in base 12?
59
13422 (base 7) to base 14
1482
-17672 (base 12) to base 14
-c450
Convert -56601 (base 7) to base 8.
-34026
Convert -344 (base 11) to base 14.
-215
What is dd1 (base 14) in base 3?
10202011
-1510 (base 6) to base 2
-110010010
9b7 (base 12) to base 14
747
Convert 17680 (base 12) to base 7.
200343
-2422 (base 14) to base 12
-3792
Convert 2b64 (base 12) to base 9.
7014
What is 6436 (base 10) in base 11?
4921
Convert -3283 (base 15) to base 9.
-15606
Convert -1663 (base 9) to base 5.
-20042
-1200021 (base 3) to base 16
-4c6
Convert -704 (base 11) to base 6.
-3535
10382 (base 9) to base 14
2714
-32011 (base 8) to base 3
-200021101
What is 18206 (base 13) in base 15?
db8b
What is 67710 (base 9) in base 12?
22099
What is a1 (base 15) in base 9?
177
625 (base 8) to base 3
120000
333310 (base 5) to base 16
2db9
What is 10320113 (base 4) in base 14?
73dd
Convert -3332 (base 9) to base 4.
-212123
Convert -2170 (base 12) to base 5.
-104214
10a2a (base 13) to base 6
352115
What is -100011001100010 (base 2) in base 16?
-4662
What is 34424 (base 7) in base 5?
240124
What is 7042 (base 11) in base 3?
110211210
What is 30333110 (base 4) in base 11?
36a78
1111000001100110 (base 2) to base 13
22020
Convert -967 (base 13) to base 9.
-2174
-23441 (base 10) to base 12
-11695
What is 22160 (base 8) in base 2?
10010001110000
What is 1232242 (base 5) in base 2?
101111000001000
852 (base 10) to base 13
507
-1112 (base 5) to base 4
-2131
What is 1102214 (base 5) in base 8?
45163
Convert -404 (base 10) to base 7.
-1115
10121121 (base 3) to base 15
baa
What is 91b7 (base 14) in base 16?
61dd
What is -102022 (base 3) in base 5?
-2210
What is 3203 (base 10) in base 5?
100303
What is 2404 (base 8) in base 15?
5a9
Convert -26508 (base 13) to base 3.
-10121121110
What is 510 (base 15) in base 2?
10001110100
Convert 1011101011101 (base 2) to base 12.
3565
1223321 (base 4) to base 10
6905
What is 1052 (base 13) in base 12?
1388
What is -83a0 (base 12) in base 11?
-a88a
What is -202220021 (base 3) in base 16?
-3b83
What is -605 (base 13) in base 15?
-47e
What is -1366b (base 12) in base 2?
-110100011110011
1111011101 (base 2) to base 8
1735
What is -5750 (base 10) in base 3?
-21212222
-97c1 (base 14) to base 8
-63175
What is -1c (base 14) in base 11?
-24
3da (base 15) to base 5
12010
Convert -3655 (base 8) to base 14.
-a05
What is -11343 (base 6) in base 12?
-b53
What is -587 (base 12) in base 11?
-689
Convert -242422 (base 5) to base 9.
-13444
Convert -12433 (base 5) to base 9.
-1323
Convert 13504 (base 6) to base 4.
201100
What is -2374 (base 8) in base 12?
-8a4
What is -2201121011 (base 3) in base 15?
-10d6d
Convert 18e3 (base 16) to base 7.
24401
What is -3ab (base 14) in base 3?
-1000101
Convert -601 (base 10) to base 6.
-2441
Convert 1a48 (base 15) to base 10.
5693
What is 225 (base 9) in base 7?
353
2647 (base 9) to base 8
3703
What is -273 (base 14) in base 3?
-200021
Convert 22020 (base 3) to base 8.
336
Convert -1101101 (base 2) to base 8.
-155
Convert 3202421 (base 5) to base 7.
311636
Convert -210001010 (base 3) to base 4.
-3233223
3657 (base 8) to base 11
1529
Convert 11a9 (base 12) to base 3.
2202010
311 (base 9) to base 16
fd
45112 (base 6) to base 8
14244
What is 1506 (base 9) in base 10?
1140
Convert 66446 (base 9) to base 13.
170ca
Convert 7697 (base 10) to base 2.
1111000010001
What is 2154 (base 13) in base 11?
3531
What is -12001110 (base 3) in base 13?
-18a5
212202000 (base 3) to base 7
101313
102220 (base 3) to base 8
501
What is -321412 (base 6) in base 12?
-13268
Convert -132544 (base 7) to base 16.
-618d
-5b1 (base 14) to base 13
-694
Convert -3d5 (base 16) to base 15.
-456
2079 (base 12) to base 10
3549
-114102 (base 5) to base 7
-15320
Convert 153354 (base 6) to base 8.
35306
-bda (base 15) to base 3
-10200021
What is 1211210 (base 3) in base 13?
7c5
Convert -8c (base 14) to base 16.
-7c
What is -992 (base 10) in base 8?
-1740
Convert -113154 (base 6) to base 14.
-37d4
What is -ad7a (base 15) in base 11?
-25706
3b9 (base 13) to base 12
46b
What is -100121211 (base 3) in base 7?
-26311
What is -4b5 (base 13) in base 3?
-1010112
What is 3431 (base 5) in base 14?
271
8273 (base 10) to base 14
302d
Convert 212003 (base 5) to base 8.
15730
What is -5154 (base 11) in base 3?
-100101011
What is -133030 (base 4) in base 6?
-13124
24 (base 6) to base 14
12
Convert -234b (base 12) to base 13.
-1a48
What is 103131 (base 4) in base 16?
4dd
What is a13 (base 16) in base 13?
1235
What is -1862 (base 9) in base 5?
-21213
Convert -4243 (base 7) to base 12.
-a51
What is 22221020 (base 3) in base 9?
8836
What is 12f6 (base 16) in base 14?
1aaa
-764 (base 12) to base 13
-655
Convert 2252 (base 8) to base 3.
1122020
Convert 5033 (base 12) to base 6.
104103
-710 (base 10) to base 8
-1306
-12169 (base 11) to base 5
-1024444
Convert 22214 (base 10) to base 4.
11123012
Convert -2022103 (base 4) to base 13.
-404b
What is 741 (base 13) in base 14?
644
What is 3465 (base 8) in base 6?
12313
Convert 196 (base 11) to base 5.
1401
Convert 10650 (base 8) to base 2.
1000110101000
What is -37301 (base 10) in base 4?
-21012311
Convert -23003 (base 5) to base 14.
-844
Convert -3322 (base 5) to base 3.
-122010
What is -4db (base 16) in base 13?
-748
-111021111 (base 3) to base 2
-10010111001111
3c0 (base 13) to base 6
3023
What is -1122000 (base 3) in base 2?
-10010100100
Convert 1000000101 (base 2) to base 7.
1336
What is -1312013 (base 4) in base 9?
-11328
Convert 221313 (base 4) to base 6.
20223
Convert 12705 (base 14) to base 13.
177c2
2010221 (base 3) to base 16
61c
39a (base 11) to base 3
122111
Convert 2002402 (base 5) to base 12.
16356
85 (base 15) to base 16
7d
Convert 110000110110 (base 2) to base 14.
11d4
What is 52103 (base 6) in base 4?
1230213
What is -141420 (base 5) in base 3?
-22001001
12d (base 16) to base 11
254
Convert -54a (base 16) to base 10.
-1354
What is -113112 (base 6) in base 13?
-45a1
Convert 10133 (base 6) to base 13.
801
3012332 (base 4) to base 12
7452
-232540 (base 6) to base 4
-10321230
-24c6a (base 13) to base 6
-1242534
Convert -14c (base 16) to base 6.
-1312
Convert 13374 (base 10)
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 5) in the form n*d + k and give n.
-18
Express (-a - 1 + 1)*(2 + 1 - 1)*(2 + 0 - 4)*(0 + 2 - 1) in the form g*a + v and give g.
4
Express -4*o**3 + 6*o**3 + 4 - 34*o**2 + 34*o**2 - 2*o as p*o**3 + n*o**2 + r*o + j and give p.
2
Rearrange -3 - 13*i**3 + 12 - 7 - 3 + 2*i**2 to z*i**2 + t*i + m + c*i**3 and give c.
-13
Rearrange (2*y**2 + 0*y**2 - 5*y**2)*(-2 - 1 + 4 + (4 + 0 - 5)*(2 + 3 - 3) + 9 - 4 + 2) to v*y + i*y**2 + n and give i.
-18
Express -b**2 + b**3 + 3 + 2 - 4 as r*b**2 + m*b**3 + t + y*b and give y.
0
Rearrange 613*z**2 - 651*z**2 - 3 - z**3 + 6 + (-2*z + 2*z - z)*(-2 + 2 + 2*z**2) - 5*z**3 + 2*z**3 + z**3 to the form r*z + f + v*z**3 + m*z**2 and give f.
3
Express -7*a**3 + 4*a**2 + a - 4*a**2 + 6*a**3 - 10 as h*a + i*a**2 + z + l*a**3 and give l.
-1
Rearrange 9*i + 8*i - 3*i to the form v*i + y and give v.
14
Rearrange (-14 + 1 - 2)*(2*r + 2 - 2) + 2*r - 1 + 1 to the form j + g*r and give g.
-28
Rearrange -23*n + 48*n + 65*n + 36*n to the form p*n + u and give p.
126
Express 31 - 32 - 5*y**3 + 5*y**3 + 2*y + 4*y**3 in the form c*y + n*y**3 + p + h*y**2 and give n.
4
Express 3*d + 2*d + 3*d + 16*d as c*d + t and give c.
24
Express -2*r - r**4 - 1 + 316*r**3 - 316*r**3 + r**2 as j + t*r**4 + s*r + o*r**3 + v*r**2 and give t.
-1
Express (0*z - z + 0*z + 1)*(-5 + 3 + 4)*(209*z**2 + 43*z**3 - 209*z**2) in the form s + p*z**3 + a*z**4 + k*z + m*z**2 and give s.
0
Rearrange 0*m - m + 3 + 49*m**3 - 8*m + 2*m**2 - 50*m**3 to the form i*m**3 + t*m**2 + j + v*m and give j.
3
Rearrange n**2 + n**2 - 2 + 2*n**3 - 2*n**2 + n**2 + 12*n**4 to p*n**4 + q*n**3 + x*n + g*n**2 + j and give g.
1
Express -4*m**3 - m + 2*m**3 + 7*m**4 + 13*m**4 as p*m**2 + t*m + d*m**3 + w*m**4 + y and give d.
-2
Rearrange -2*q**3 - 2*q + 2*q - 13*q**3 + 2*q**2 + 4*q**3 + 6*q**3 + (-3*q**2 - 3 + 3)*(q + q + q) to l*q + m*q**3 + p + w*q**2 and give w.
2
Rearrange (0*f - f + 0*f)*(2 - 1 - 2)*(2 - 3 - 5)*(2 - 4 + 1) to the form x + v*f and give v.
6
Rearrange (-5*j**2 - 7*j + 7*j)*(-5*j - 2*j + 3*j) to l*j**2 + a*j**3 + g*j + x and give a.
20
Rearrange -2*a**2 - 4*a**4 + 3 - 3 - 3*a**2 - 2*a + a**3 + 1 to w + y*a + h*a**2 + u*a**3 + t*a**4 and give h.
-5
Express -3*u - 2*u - 16*u**3 - 2*u**2 + 14*u**3 in the form z*u**3 + c*u**2 + k + n*u and give z.
-2
Express 3 + 3 + 2 + t + 0*t - 2*t + t - t + 3*t + 0*t + (-2*t + 0 + 0)*(-1 + 2 - 3) + t - t + t in the form w + q*t and give w.
8
Express -c**3 + 36 + 2*c**2 + 41 - 2*c - 77 + 2*c**4 as q*c + l + m*c**2 + k*c**3 + i*c**4 and give q.
-2
Rearrange -52*t + 52*t + 4*t**2 to v*t + a*t**2 + w and give v.
0
Rearrange (-4*t + t + t)*(t**2 + 32*t - 32*t + 32) to the form k*t**3 + u*t + a + g*t**2 and give u.
-64
Express (-4 + 2 + 0)*(-1 + s**3 + 1 + (6*s**2 + 3*s**2 - 2*s**2)*(s - 1 + 1)) as k*s + j + x*s**3 + z*s**2 and give x.
-16
Express -3*v**2 - 6*v**2 + 2*v**2 + (v + 0*v + v)*(3*v + 3*v - 5*v) in the form i*v**2 + w + b*v and give w.
0
Rearrange -1 - 3 + 7*a**2 - 2 + 5 to the form y*a + l*a**2 + c and give c.
-1
Express 93*u**2 + 15 - 95*u**2 - 14 in the form i + n*u + a*u**2 and give i.
1
Rearrange 0*w - 3*w - w**2 - w - w**2 to g*w + t + z*w**2 and give g.
-4
Express -7*c**4 + 13*c**4 - 8*c**4 + (3*c**3 + c**3 - 5*c**3)*(3*c + 2*c - 3*c) as t*c**2 + k*c + w*c**3 + x*c**4 + n and give x.
-4
Express -33*g + 40*g - 1 + 113*g in the form c*g + o and give c.
120
Express -17 - 3*s**2 + 9*s**2 + s**2 + 5 in the form c*s + o + m*s**2 and give o.
-12
Express (4 + 3*s - 2*s - 3)*(15*s - 4*s**2 - 15*s) in the form h*s**3 + v*s + m + t*s**2 and give t.
-4
Express k + k - 3*k + 15*k**2 - 2*k - 2 as d*k + q*k**2 + w and give w.
-2
Rearrange 3*f**2 + 4 - 4 + 0 to d + o*f + h*f**2 and give d.
0
Express 2*h + h**3 - 5*h**3 - 7*h**3 + h**2 + h**3 in the form j*h + z + p*h**3 + w*h**2 and give p.
-10
Rearrange 1 - 6*j**2 + j**4 - 5*j**4 + 2*j - j**4 + 0 to v*j + s*j**3 + q*j**4 + x + m*j**2 and give m.
-6
Rearrange (1 - 1 + 3)*(-3 + i + 3) + 4 - 16*i - 4 to o*i + x and give o.
-13
Express -8*x + 3*x - 10*x - 10*x in the form d*x + h and give d.
-25
Express -10*s**3 + 25*s**2 - 14*s**2 - 12*s**2 - s**3 + 2*s - 2*s + (0 - s + 0)*(2*s - 2*s + 2*s**2) + s**3 + 2*s - 2*s as w + b*s + c*s**2 + k*s**3 and give c.
-1
Express (2*i**2 + 5*i**2 - 2*i**2)*(2*i + 3*i - 2*i + (-1 + 4 - 4)*(2*i + i - 4*i)) as o*i + h*i**2 + t + q*i**3 and give q.
20
Express (64*i + 2 + 0 - 75*i)*(5 - 5 + i)*(-2*i**2 + 6*i**2 - 2*i**2) in the form v + q*i**2 + k*i + x*i**3 + o*i**4 and give x.
4
Rearrange 28*o + 9 - 6*o**4 + 2*o**3 - 27*o - 6 to v*o + q*o**4 + c*o**2 + f + z*o**3 and give q.
-6
Rearrange 1 - 1 - 22*x**2 + 38*x**2 to w*x**2 + c + l*x and give l.
0
Rearrange 2*m**4 + 1 - 1 + (m - m + 2*m)*(m**3 - m**3 + 2*m**3) - m**4 - 338*m - 15*m**2 + 338*m to o*m**2 + l*m**3 + p*m**4 + h*m + x and give o.
-15
Express (r - 2*r - r)*(35*r - r - 2*r) - 2*r**2 - 1 + 1 in the form z + a*r + t*r**2 and give t.
-66
Rearrange (p + 0*p + p - 1)*(2*p + 2*p - 2*p) to s*p**2 + u*p + b and give s.
4
Rearrange (4 + 4 - 4)*(3*p + p - 2*p - 2 + 2*p + 2 - p + 3*p + 0*p - 4*p + 4*p + 2*p + (1 - 1 + 1)*(-p + 2 - 2) - 6*p + 8*p + 5*p) to w*p + m and give w.
56
Express -1 + f**4 + 2*f - f**2 + 10*f**3 - 3*f - 10*f**3 in the form t*f**3 + i + c*f**4 + y*f + l*f**2 and give l.
-1
Rearrange (-71*l**2 - 70*l**2 + 237*l**3 + 139*l**2)*(-1 - 2 + 1) to b*l**3 + a*l + j*l**2 + u and give j.
4
Rearrange j - 9*j - 3*j - 2*j to the form v*j + q and give v.
-13
Express 123*b + 28*b - 18*b + 23*b in the form v + o*b and give o.
156
Express 3*k**2 - k**2 - k**2 + (-6*k + k + k)*(-3*k - 1 + 1) in the form a + p*k**2 + m*k and give p.
13
Express -5*z**3 + 2 + 10*z**3 - 2 + 2*z in the form v*z**3 + d*z + r*z**2 + l and give l.
0
Express (-15*n**2 + 2 - n + 0*n + 17*n**2)*(0*n**2 - 2*n**2 + 0*n**2) as p*n**3 + b*n + j*n**2 + v + g*n**4 and give g.
-4
Express (-2*q**2 + 5*q**2 - 2*q**2)*(q + 0*q - 3*q) - 3*q - 2*q**3 + 3*q + 6*q**3 - 16*q**3 + 6*q**3 as r*q + t + d*q**3 + l*q**2 and give d.
-8
Rearrange 3*b - 3 - 1 + 5*b + 4*b to f + s*b and give f.
-4
Express d + 4*d**2 + 3 - d in the form w*d + x*d**2 + o and give o.
3
Rearrange (-57*o + 4*o - 7*o)*(1 + 0 + 1) to the form j*o + t and give j.
-120
Rearrange 3*i**2 - 7 + i - 3*i**2 - 2*i**2 + i**2 + 2*i**4 to n*i + g*i**4 + f*i**2 + j + m*i**3 and give g.
2
Express 2*j**2 - j + 2*j**3 + 2*j**2 + 2*j as l*j**3 + s*j + z + p*j**2 and give s.
1
Express -31*t**4 + 4 - 33*t**4 + 2*t**2 - t - 2 + 57*t**4 - 2*t**3 as y + h*t**2 + v*t + b*t**4 + s*t**3 and give s.
-2
Express 1 - 11*s + 20*s - 1 as c*s + j and give c.
9
Rearrange (-3*o + 2*o - o)*(-12 + 5 - 5)*(-o + 3*o + 0*o) to d + u*o**2 + y*o and give u.
48
Express -2*a**4 - 20*a**3 - 2 + 46*a**3 - 25*a**3 as g*a**2 + n + l*a**4 + f*a + u*a**3 and give l.
-2
Express (-27 + n - 6*n + 7*n)*((-n + 2*n + 0*n)*(-1 + 2*n + 1) - 2*n**2 - 4*n**2 + 3*n**2) as w*n + t*n**3 + y*n**2 + k and give t.
-2
Express p**2 + 3*p**4 + 4 - 3 + 1 + 3*p**3 in the form y*p**3 + s + o*p + l*p**4 + d*p**2 and give l.
3
Express 17 - 17 - 46*w as l + n*w and give n.
-46
Express (-v + 0*v + 0*v)*(5*v - 2*v - v)*(7 - 7 - 2*v) as j + k*v**2 + b*v + d*v**3 and give d.
4
Rearrange -3*c + 4*c + 4 - 4 + 2*c**2 to l*c**2 + s + d*c and give l.
2
Express -7*z - 25*z**2 - 27*z**2 + 50*z**2 as v + u*z + r*z**2 and give u.
-7
Express (-m - m + 4*m + (2 - 4 + 0)*(2*m - 5*m + m) + m + 2 - 2 - 4*m - m - 8*m)*(-m**3 + 5*m - 5*m) in the form f*m**2 + d + s*m**3 + p*m**4 + c*m and give p.
6
Rearrange (-3*z + 2*z**2 - 5 - 4*z + 3*z)*(-3 - 3 + 0) to p*z + j + d*z**2 and give j.
30
Express -31*n - 7*n + n as q*n + f and give q.
-37
Rearrange -3*z**3 + 3 - z**3 + 2*z**3 to the form s + c*z + p*z**2 + a*z**3 and give p.
0
Rearrange (-5*y**4 - 9*y**4 + 3*y**4)*(-1 + 5 - 2) + 2*y**2 - 2*y**2 - 2*y**4 to the form z + h*y**3 + p*y**2 + f*y**4 + q*y and give f.
-24
Express (-3 + 0 - 1)*((2 - 3 - 1)*(-2*p + 0 + 0) + 223 - 6*p - 4*p - 221) in the form g + r*p and give r.
24
Rearrange -4*t**2 - 2*t**2 - 10*t**2 + (t**2 - 3*t**2 + t**2)*(-1 + 2 + 2) to the form k*t**2 + m*t + n and give k.
-19
Rearrange -79*p - 126*p + 113*p to the form j + u*p and give u.
-92
Express q - q**4 - 3*q**2 - 2*q**3 - 5 - 1 + 8 as x + k*q + i*q**2 + l*q**4 + z*q**3 and give z.
-2
Express (2
|
{
"pile_set_name": "DM Mathematics"
}
|
9?
18723195
Which is greater: 211884 or 211876?
211884
Are -45989 and -46218 non-equal?
True
Is 668 less than 904963?
True
Is 2.4 > -1505146?
True
Is 434 at most 58601/135?
True
Which is greater: -53326 or 1/6?
1/6
Is 2.84399 >= -363?
True
Which is smaller: -152/2859 or -149?
-149
Which is bigger: -20824 or -2/44419?
-2/44419
Is -318005 less than -14?
True
Is 0 bigger than 11/14885974?
False
Is -15443063 at least -77215318/5?
True
Is 1218803 <= 1218808?
True
Do 5029855 and -9 have the same value?
False
Which is smaller: 2/8517275 or 1?
2/8517275
Which is greater: -3746 or -453445/121?
-3746
Which is smaller: -0.2 or 2867914?
-0.2
Which is smaller: -155/23 or -3143.2?
-3143.2
Which is smaller: 47086 or 46561?
46561
Which is bigger: -132/1253005 or -1?
-132/1253005
Is -641795 bigger than 1.696?
False
Is 274096 bigger than 274046?
True
Which is bigger: -1 or -4/85092473?
-4/85092473
Which is greater: -69502 or 425?
425
Which is smaller: 12404 or 8839?
8839
Which is smaller: -865370 or -865388?
-865388
Which is smaller: -0.1 or 377342788?
-0.1
Which is smaller: -1935385 or -1935388?
-1935388
Is 59908343 at most 59908351?
True
Which is smaller: 86257/66 or 1307?
86257/66
Do -26487 and 12407 have the same value?
False
Is -2787021 bigger than -2786999?
False
Which is bigger: -9 or -17107/1726?
-9
Which is bigger: -89 or 181.687?
181.687
Which is smaller: 58 or 112839.7?
58
Which is smaller: 318 or -164610?
-164610
Which is bigger: 9523711 or -3/7?
9523711
Is -10877/1647 at least as big as -8?
True
Which is bigger: 622/124065 or 0?
622/124065
Which is smaller: 156092789 or -2/3?
-2/3
Do 81/38599 and -77/6 have the same value?
False
Are -0.1841086 and -1/3 equal?
False
Which is greater: -26/63319923 or 0?
0
Is 145338564 bigger than 145338564?
False
Which is smaller: -95932 or -95880?
-95932
Is -10/9 smaller than -18490047?
False
Which is greater: -1896/3370961 or 0?
0
Which is smaller: -105679 or -104610?
-105679
Is 2583 > 15948?
False
Is 233186 > 235970?
False
Is 3.63242 not equal to 60?
True
Which is greater: 2/756979 or -1?
2/756979
Is -1827541 at most -1827538?
True
Is 0.1 greater than or equal to -6532/6621?
True
Is -1 less than or equal to 18/1292855?
True
Which is bigger: 3639/1499708 or 0?
3639/1499708
Which is smaller: -109.3 or 2/66673?
-109.3
Is 7720593 > 7720591?
True
Is 15456699 bigger than 15456697?
True
Which is bigger: -189547/82 or -2312?
-189547/82
Do -2982 and -4794 have different values?
True
Which is bigger: 331514893 or 331514894?
331514894
Which is smaller: 1 or 1303/18941?
1303/18941
Is -2.10409 > 3?
False
Which is bigger: -390199/16 or -24386?
-24386
Is 10/39101859 at most as big as 1?
True
Is 1683326 bigger than -1?
True
Is 34 smaller than -835393?
False
Which is bigger: -4933497 or -4933485?
-4933485
Which is greater: -537321 or -3/16?
-3/16
Which is bigger: 209 or -31371?
209
Which is smaller: 66/1318201 or -1?
-1
Do 314069 and 5 have the same value?
False
Which is smaller: -663 or 481879?
-663
Which is greater: 274107 or 274102?
274107
Is -68/23609 greater than -0.0137?
True
Are -779 and -59271/76 equal?
False
Which is smaller: -85552 or -86042?
-86042
Which is bigger: -2439052 or -2439054?
-2439052
Are 6.1 and 80637 equal?
False
Is -19/610 greater than or equal to 2774?
False
Which is bigger: 1 or 29/627095?
1
Which is greater: 185917210 or 185917214?
185917214
Which is smaller: -6/248293903 or 1?
-6/248293903
Which is bigger: 1575271 or 0.3?
1575271
Is -1 at least 412/531823?
False
Is 453936483 < 453936483?
False
Is -15.200407 at most -2?
True
Which is bigger: 728221 or 728235?
728235
Which is smaller: 257/494175 or -1?
-1
Are 140/128973 and 0 unequal?
True
Which is greater: 160783 or 160036?
160783
Which is smaller: 2245373/7 or 320768?
2245373/7
Which is bigger: 6133142/5 or 1226627?
6133142/5
Which is smaller: 29108/943 or 30?
30
Which is smaller: 2597609 or -1/12?
-1/12
Is 43034192 less than 43034192?
False
Which is greater: 67/2 or 29234?
29234
Is 265 < 185978/705?
False
Is -1 smaller than -6/149937569?
True
Which is bigger: -1.635 or -0.274?
-0.274
Do 16594 and 18515 have the same value?
False
Is 8448998 less than or equal to 8448999?
True
Is -2133641 at least -12801847/6?
True
Is -21 < -157954?
False
Are -67283/6284 and -10 unequal?
True
Which is bigger: -426582 or -426606?
-426582
Which is smaller: 1 or -208531/955?
-208531/955
Is 8149242 at least as big as 8149240?
True
Is 196760224 smaller than 196760222?
False
Which is smaller: 23 or -442399?
-442399
Which is smaller: -25125433 or -25125403?
-25125433
Is -46234 < -2290?
True
Which is greater: 1110343 or 28?
1110343
Is 2569752 at least as big as 2569751?
True
Which is bigger: -34651006 or -34651008?
-34651006
Which is bigger: 1/5917669 or 0?
1/5917669
Which is greater: -72386 or -990?
-990
Which is smaller: -157.19 or -8200?
-8200
Which is smaller: 0 or 24790/21501?
0
Are -51 and -55061/1105 equal?
False
Which is greater: 0 or 17137934?
17137934
Which is smaller: -110577/23990 or -4?
-110577/23990
Which is smaller: 22339054 or -12?
-12
Which is smaller: -2548205 or -8?
-2548205
Is -252755 at least 71?
False
Is 72899 greater than or equal to 76372?
False
Is -1.438 at least 101607?
False
Is -1643/565 equal to 5?
False
Which is smaller: 2 or -666687132?
-666687132
Which is greater: -27328/2217 or -12?
-12
Is 8949444 at most as big as 8949444?
True
Is 1 >= -30/2088979?
True
Is -44906 >= 17/29?
False
Which is bigger: 36917674 or 36917663?
36917674
Does -266737/3854 = -69?
False
Which is bigger: 1183/454107 or 0?
1183/454107
Is -178403 greater than or equal to -6957746/39?
True
Which is smaller: -249377 or -1246884/5?
-249377
Is -25379 at least -25003?
False
Is -16042/477 greater than or equal to -34?
True
Which is smaller: 0.03431 or -1.363?
-1.363
Which is greater: -2713/4371 or 0.01?
0.01
Which is smaller: 47645566 or 47645577?
47645566
Is 97889311 > 97889312?
False
Is -1 less than -13/991908?
True
Is 64839 at least as big as 8/3?
True
Is -21320020 at least -21320025?
True
Is -1 greater than -2376/2473?
False
Is 1916601 smaller than 1916605?
True
Which is smaller: -267794001 or -267793999?
-267794001
Which is smaller: 3471731/2 or 1735867?
3471731/2
Is 1918/358663 bigger than 0?
True
Do -10512191 and -10512174 have the same value?
False
Which is smaller: 6909 or 6182?
6182
Which is bigger: -3/41 or 221943?
221943
Is 10 != 10827/1174?
True
Is 1 > 141/877028?
True
Which is smaller: -79194/2581 or 1?
-79194/2581
Is -30859 less than or equal to -36827?
False
Which is bigger: 11262726 or 11262778?
11262778
Is 47465 less than or equal to -28/243?
False
Which is bigger: 14/15 or -11129036?
14/15
Which is smaller: -6/55 or 0.0081?
-6/55
Is -37947185 greater than -37947189?
True
Is 2 less than 715874?
True
Which is smaller: 2 or 30590/25321?
30590/25321
Do 145.73 and 66658 have different values?
True
Which is smaller: 19582333 or 19582329?
19582329
Is 730257 greater than or equal to 730257?
True
Is 3610067 > 39710750/11?
False
Which is smaller: 770760 or 770749?
770749
Which is smaller: 2325 or -10761?
-10761
Is -112404/5069 >= -22?
False
Which is bigger: 0 or -1/5077696?
0
Is 16285645 at least as big as 16285646?
False
Are 1 and 7/4929741 nonequal?
True
Is 89 greater than 30427/347?
True
Is -2097351 at least as big as -29?
False
Is 1 < 6496/12227?
False
Which is smaller: -103/978979 or -1?
-1
Is -1362 at most as big as -1309?
True
Which is smaller: 1682518 or 0.1?
0.1
Is -9777 <= -2417?
True
Does -1974472 = -1974473?
False
Is -79387 not equal to -79369?
True
Which is greater: -44 or 8120569?
8120569
Is -4/251747 bigger than 1?
False
Does 100/9 = 318731?
False
Which is bigger: 1134101 or 1133791?
1134101
Are -170029 and -170645 nonequal?
True
Is -1 less than or equal to -3181/9669?
True
Is 229 greater than -9.39?
True
Is 68333948 <= 68333949?
True
Which is smaller: 303954802 or 303954804?
303954802
Is 60126 smaller than -2429?
False
Which is smaller: 1 or -209/142667?
-209/142667
Is 508023 at least as big as 508041?
False
Which is smaller: 28 or -478911.9?
-478911.9
Which is bigger: 1 or 14923.431?
14923.431
Which is smaller: 111169 or 111151?
111151
Which is smaller: 3903027 or 27321180/7?
27321180/7
Which is smaller: 13500/17 or -287.6?
-287.6
Is -62 at most -10341/1
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify a*a**20*a*a**(-2/9)*a assuming a is positive.
a**(205/9)
Simplify ((m*m**(-2/15))/(m/(m/(m/m**(-2/7))*m*m)))/((m*m**(-2/7)/m)/(m**(-8)/m)) assuming m is positive.
m**(-107/15)
Simplify r**(-3/8)*r*r**(-2/3)*(r**(-7)/r)/r*r**(-6/11) assuming r is positive.
r**(-2531/264)
Simplify f/f**28*f/f**(-1/33) assuming f is positive.
f**(-857/33)
Simplify (i**29*i*i)**(-37) assuming i is positive.
i**(-1147)
Simplify v*(v/(v**(1/9)*v))/v*v**(-7/5) assuming v is positive.
v**(-68/45)
Simplify (k*k**1*k/(k/k**(2/9)))/(k*k/k**(1/2))**43 assuming k is positive.
k**(-1121/18)
Simplify ((d*d/(d**(-14)/d*d))/((d**15*d)/d))**(3/4) assuming d is positive.
d**(3/4)
Simplify (f*f**5/f)/f**(-5)*(f**(-2/7))**(-1/62) assuming f is positive.
f**(2171/217)
Simplify (a**(2/11))**37 assuming a is positive.
a**(74/11)
Simplify (m/(m**(1/3)/m))**(26/9)*(m/(m*(m**(-1/4)/m)/m*m))**(-24/11) assuming m is positive.
m**(620/297)
Simplify (((o**(-1/3)*o)/o)**(-2/9))**(-44) assuming o is positive.
o**(-88/27)
Simplify (g/g**(-2))**6*g**(-4)/g*g*g**(4/3)/g assuming g is positive.
g**(43/3)
Simplify k**(3/17)*(k**(-25)*k)/k assuming k is positive.
k**(-422/17)
Simplify (b**(3/8)*b*b**(4/3))/(b/(b/((b/(b*b**(-1/2))*b)/b*b))*b)**(-5) assuming b is positive.
b**(365/24)
Simplify ((f*f/f**(-2))/f*(f*f/f**(3/2))/f)/(f**(-2/11)/((f/(f/(f/((f*((f**4*f)/f)/f*f)/f))*f))/f)) assuming f is positive.
f**(-51/22)
Simplify ((i**4/i)/(i/(i**(3/4)/i)))/(i**(2/3)/i*i)**(-2/39) assuming i is positive.
i**(835/468)
Simplify r/r**5*r/(r**(6/7)*r)*r**(1/7)*r*r**(5/2) assuming r is positive.
r**(-17/14)
Simplify m**17/(m**(-23)/m) assuming m is positive.
m**41
Simplify (((d*((d*d**(1/2))/d*d)/d)/d)**(-39))**(-20/3) assuming d is positive.
d**130
Simplify h*h**0*h*h**(-6/5) assuming h is positive.
h**(4/5)
Simplify (v/(v*v/v**(-2))*v**(6/7))**(-3/7) assuming v is positive.
v**(45/49)
Simplify (r**(4/7))**(-5/6) assuming r is positive.
r**(-10/21)
Simplify o**9/((o**23/o)/o) assuming o is positive.
o**(-12)
Simplify (w**8/w**(4/7))/(w**(1/5))**(-24/13) assuming w is positive.
w**(3548/455)
Simplify (v**(-2/11)*v)**(1/14) assuming v is positive.
v**(9/154)
Simplify ((k/((k*k**(1/3)*k*k)/k))/k**(-2/21))**(-1/26) assuming k is positive.
k**(1/21)
Simplify h**2*h/(h*h/(h/(h*h*h**2*h)*h)*h)*h**(-2)/h*h/(h/(h*(h*(h**5/h*h)/h)/h*h)) assuming h is positive.
1
Simplify a**0*a/(a/(a/((a*a**(-26))/a))) assuming a is positive.
a**27
Simplify y**(-2/59)/y**(-6) assuming y is positive.
y**(352/59)
Simplify d**(1/12)*d**(-12)/d assuming d is positive.
d**(-155/12)
Simplify ((o/(o/((o*o**(1/2))/o)))/(o*o**(-6)))**(6/7) assuming o is positive.
o**(33/7)
Simplify (q**(-1/4)/q)/(q*q*q**(-2))*(q**(-2/7))**23 assuming q is positive.
q**(-219/28)
Simplify (p**(-8)/p**(-3))**(2/73) assuming p is positive.
p**(-10/73)
Simplify (((c**(-1/2)*c*c*c)/c*c*c*c)**(-4/11))**(-41) assuming c is positive.
c**(738/11)
Simplify (((o/o**5)/o)/o)/(o**(-5)*o)*(o**6/o)/(o/(o**(2/19)/o)) assuming o is positive.
o**(21/19)
Simplify (b**14*b)/(b/b**(-13)) assuming b is positive.
b
Simplify (u*u*u/u**(1/3)*u)/(u*u/(u*u*u*u**(-1/16)*u*u)) assuming u is positive.
u**(317/48)
Simplify (u/(u*u*u*(u*u/(u*u**7)*u)/u)*u*u/((u**(-6)/u)/u)*u)/((u/(u*(u*u**(-10))/u))/(u**(-1/3)*u)) assuming u is positive.
u**(17/3)
Simplify (q**(3/4)/q**(-5))/(q**(1/2)/(q**(-6/7)/q)) assuming q is positive.
q**(95/28)
Simplify g/((g/(g/(g**(-6)/g)*g))/g*g)*g**(2/9)*g*g**2*g**(6/11) assuming g is positive.
g**(1264/99)
Simplify p**(2/9)*p**(1/8) assuming p is positive.
p**(25/72)
Simplify (g*g**14)/(g**(-11)/g) assuming g is positive.
g**27
Simplify (d**(-7)*d**(2/9))/(d*d**0*d*d/(d/(d*d*d**(2/5)*d)*d*d)) assuming d is positive.
d**(-458/45)
Simplify o*o**17*o*o*o*o/o**(-15) assuming o is positive.
o**37
Simplify (((t**6*t)/t)/((t/(t/t**(-2/7))*t*t)/t))/(t**4/(t/(t*t**(2/11)*t))) assuming t is positive.
t**(8/77)
Simplify i**(-2)*i**9*(i**(2/3))**3 assuming i is positive.
i**9
Simplify q**17*q**(1/2) assuming q is positive.
q**(35/2)
Simplify ((((j*j**11/j)/j)/j)/j*j*j/j**(-5))**(-40) assuming j is positive.
j**(-600)
Simplify (r**(1/6)/((r/(r*r/((r/r**(2/13))/r)))/r))**(-7/4) assuming r is positive.
r**(-1267/312)
Simplify (i**(-1/5))**(-19/3) assuming i is positive.
i**(19/15)
Simplify ((z/z**(-5/2))/(z/(((z*z/(z**(-2/15)*z)*z)/z*z)/z)))**(-40) assuming z is positive.
z**(-436/3)
Simplify (g**0)**(5/9)*(g/(g*g/(g**(1/2)/g)*g*g*g))/(g*g/((g/(g**(-5)*g)*g)/g*g)) assuming g is positive.
1/sqrt(g)
Simplify ((m*(m**1*m)/m)/((m*m**(-8/5))/m))**(-3/20) assuming m is positive.
m**(-27/50)
Simplify (q**(1/4))**(2/93)*(q/(q/(q/q**1))*q)**(-2/17) assuming q is positive.
q**(-355/3162)
Simplify (d**20/(d/(d*d/(d/((d**(-7)/d)/d)))))**(-4/7) assuming d is positive.
d**(-44/7)
Simplify ((r*r**0)/(r**(-5)/r))/((r/r**(-2/17))/(r*r**6)) assuming r is positive.
r**(219/17)
Simplify (k*k**(-1/8)*k*k*k*k**(-3/20))**(1/12) assuming k is positive.
k**(149/480)
Simplify (m**(-2)/m*m)**(-34) assuming m is positive.
m**68
Simplify (n/n**6)/(n**2*n)*n**(-3)*n**(2/15) assuming n is positive.
n**(-163/15)
Simplify (((a**0/a)/a)/a**(2/27))**(-48) assuming a is positive.
a**(896/9)
Simplify ((x**(-2/7)/x*x)/x**(-7))/((x**(1/7)/x)/x*x*x*x**3) assuming x is positive.
x**(25/7)
Simplify (b**4/b**(-10))/((b*b/((b*b/(b/(b**(-2/21)/b)))/b))/(b/(((b*(b/((b**(-11)*b)/b))/b)/b)/b))) assuming b is positive.
b**(40/21)
Simplify (r**(3/2))**(-10)/(r**(5/2)/r*r/r**(-4)) assuming r is positive.
r**(-43/2)
Simplify (l/(l/(l*l/(l/(l*l**0)*l*l*l)*l*l)))**(-2/11) assuming l is positive.
l**(-2/11)
Simplify ((h*h/h**(-8/11))/h**5)**2 assuming h is positive.
h**(-50/11)
Simplify r*(r**(-4)*r)/r*r*r*r*r**(-1/2)*r*r assuming r is positive.
r**(3/2)
Simplify m**7/(m/(m*m**(9/2))) assuming m is positive.
m**(23/2)
Simplify ((c/(((c**(-2/19)/c)/c)/c))/((c*c**(-7))/c))/(c*c**(1/8)*c/c**(-1/5)) assuming c is positive.
c**(6673/760)
Simplify (w**14)**(-47) assuming w is positive.
w**(-658)
Simplify o*o/((o*o*o**27)/o)*o/o**(10/9) assuming o is positive.
o**(-235/9)
Simplify (d/d**(-9/7))/d**(-2/7) assuming d is positive.
d**(18/7)
Simplify ((u*u*u**0*u*u)/u)**(-2/25)*(u*u**(-8))/((u*u**7)/u*u) assuming u is positive.
u**(-381/25)
Simplify ((t**(2/3))**(1/40))**(1/21) assuming t is positive.
t**(1/1260)
Simplify ((d**1*d)/d)**(2/55)*d**5/((d*d*(d/(d/(d/((d*(d*(d*d**0/d*d)/d)/d)/d)))*d*d)/d*d*d)/d) assuming d is positive.
d**(2/55)
Simplify u**(5/6)*u*u*u*u*u**(1/11) assuming u is positive.
u**(325/66)
Simplify ((f**(-2/5))**(-2/39))**(1/44) assuming f is positive.
f**(1/2145)
Simplify (f*f**(-22))/(f*f**(-9/7)) assuming f is positive.
f**(-145/7)
Simplify p**(-2/5)*p*p**6/p*((p**(-6)/p)/p)/(p**(1/10)/p) assuming p is positive.
p**(-3/2)
Simplify (r*(r/(r**12/r*r))/r)**(-18) assuming r is positive.
r**198
Simplify ((b*b*b**(-1))/(((b*b**12)/b*b)/b))**50 assuming b is positive.
b**(-550)
Simplify (d**3/d*d/(d*d*d**(-2/25)*d))**16 assuming d is positive.
d**(32/25)
Simplify ((b**2/b)**(2/11))**(16/3) assuming b is positive.
b**(32/33)
Simplify q/((q*(q*q/(q*q/((q/(((q*q*(q*q/(q*q**(-8)*q)*q)/q)/q)/q))/q*q)))/q)/q)*q/q**(-7)*q**(1/7)*q*q**(-4/3)/q*q*q assuming q is positive.
q**(374/21)
Simplify r**(5/2)*r*r**3*(r/(r**(-2/11)/r))/(r/(r/(r/(r**(2/19)*r)))*r) assuming r is positive.
r**(3255/418)
Simplify ((h/h**3)/(h*h**(-1/7)/h))**(-45) assuming h is positive.
h**(585/7)
Simplify (((v/v**4)/v)/v)/((v*v**(-23/4))/v*v) assuming v is positive.
v**(-1/4)
Simplify m/(m/(((m*m*(m/m**(-3))/m*m*m)/m)/m))*m*m/(m**9*m)*m assuming m is positive.
m**(-2)
Simplify r/(r*r*r*r**10*r)*r**(2/15) assuming r is positive.
r**(-193/15)
Simplify x**25/(x*x/(x*x**(-21))) assuming x is positive.
x**3
Simplify (z*z**(2/13))**35 assuming z is positive.
z**(525/13)
Simplify f**(-2/15)*f**(-10) assuming f is positive.
f**(-152/15)
Simplify ((t**5/t)/t)**(-26) assuming t is positive.
t**(-78)
Simplify (v/v**(2/21)*v**(-2))/(v/(v*v**0*v*v)*v)**(-2/9) assuming v is positive.
v**(-83/63)
Simplify (m**3*m**0)/(m*m**(-1/3)/m*m*m/m**(5/4)) assuming m is positive.
m**(31/12)
Simplify j/j**(5/2)*j/(j/(j/(j*j**(-2))*j))*(j**(-1))**(4/3) assuming j is positive.
j**(1/6)
Simplify (r**(1/3)/r)**(-13/2)/(((r**(-3/4)/r)/r*r)/(r*r/(r*r**(-6)))) assuming r is positiv
|
{
"pile_set_name": "DM Mathematics"
}
|
/v*v/(v*v**(-6))*v/((v/((((v/((((v*v**(-4)/v)/v)/v*v)/v))/v)/v)/v))/v)*v*v)**(-1/3) assuming v is positive.
v**(-25/6)
Simplify (k**(2/33))**(-2/117)/(k**10/(k*k*k*k**(-9))) assuming k is positive.
k**(-61780/3861)
Simplify ((y*y**(-8)*y)**(-21))**(-48) assuming y is positive.
y**(-6048)
Simplify (v**(-3/4)/((v*(v/(v*(v/(v**8*v))/v))/v*v)/v))**9 assuming v is positive.
v**(-351/4)
Simplify (k/(k/k**(-4)))**26*((k/(k**(-2)*k))/k)**(-41) assuming k is positive.
k**(-145)
Simplify (((y*y**1)/(y/(y/y**(-1/5))))**(-44))**(-3/4) assuming y is positive.
y**(363/5)
Simplify (r*r**(2/27)*r**(-20))**(1/5) assuming r is positive.
r**(-511/135)
Simplify (d**(-2)/(d*d**(-2))*((d**0*d)/d)**(3/13))**(-40) assuming d is positive.
d**40
Simplify ((b*b**(-25))/((b/((b**(-8)/b)/b))/b))/(b/(b/(b/(b/b**(1/15))*b)))**(22/9) assuming b is positive.
b**(-4942/135)
Simplify (n/n**5)**44*(n/(n*(n*(n/(n*n**(1/19)*n))/n*n*n)/n))/n**3 assuming n is positive.
n**(-3400/19)
Simplify ((b/(b/((b/b**(5/6))/b))*b*b)/b)/(b*b**(1/6)*b*b)*b**(-13)*b/b**(2/55) assuming b is positive.
b**(-827/55)
Simplify (l*l**9*l*l)**45/(l/l**(-3/11))**(-1/9) assuming l is positive.
l**(53474/99)
Simplify ((z/z**7*z/(z**(-9)/z))**47)**(-30) assuming z is positive.
z**(-7050)
Simplify (c**(-2/11)*c*c)**29/((c**(-1/7)*c*c)/c)**(-14/13) assuming c is positive.
c**(7672/143)
Simplify ((f**9)**(1/2))**(2/7) assuming f is positive.
f**(9/7)
Simplify ((a/(a*a**3)*a**(1/3))**(-21))**(1/7) assuming a is positive.
a**8
Simplify (c**(2/15)*c**(-6))/(c*c*c**(-8)*((c/((c*(c*c**3)/c)/c*c))/c)/c*c) assuming c is positive.
c**(62/15)
Simplify ((o**(-3/17)/((o**11/o)/o))**(-21/8))**(-35) assuming o is positive.
o**(-28665/34)
Simplify (q**(4/13)*q**(-4))/(q**(2/47)/(q*q/(q*q*q**(-1/22)*q*q))) assuming q is positive.
q**(-76477/13442)
Simplify (g/g**(-1/2))**(-43)/(g**(-12))**(-7/4) assuming g is positive.
g**(-171/2)
Simplify ((x**(-1)*x**5)/((x/(x*x/x**(-1)*x*x))/x)**38)**(-3/32) assuming x is positive.
x**(-291/16)
Simplify (y*y**(-2/11)/y)**(4/9)*y**15*y*y*y**(-12) assuming y is positive.
y**(487/99)
Simplify ((y/y**9*y*y)/y**7)/(y**(-3))**18 assuming y is positive.
y**41
Simplify ((u**(1/5)/u)/u**0)/(u*u/u**(-14)*u**(-14)) assuming u is positive.
u**(-14/5)
Simplify (p**5*((p**(-2)/p)/p)/p*(((p/(((p*p/(p/(p*p*p/p**(-3))))/p*p)/p))/p)/p)/(p/(p*((p**(-8/7)*p*p*p)/p)/p*p*p)))**(-18) assuming p is positive.
p**(648/7)
Simplify ((c*c**(23/2))**(6/13))**(-2/3) assuming c is positive.
c**(-50/13)
Simplify ((i*i/(i/(i*i**0)))**29*i/(i**(-1/4)/i)*i*i**(-6))**48 assuming i is positive.
i**2652
Simplify (((p*p**0)**2)**11)**(-2/25) assuming p is positive.
p**(-44/25)
Simplify k**12/k**16*((k/(k/(k/(k**(2/15)/k))))/k)**(5/6) assuming k is positive.
k**(-59/18)
Simplify (m*m*m*m/(m*m**(2/5)*m)*m*m)**2*m**(-3/4)/m**9 assuming m is positive.
m**(-51/20)
Simplify (((j*((j*j**(-6/11))/j)/j*j)/j*(j*j/j**(-3))/j*j)/((j**(-6/7)*j)/j**(-3)))**47 assuming j is positive.
j**(4747/77)
Simplify l*l**16/l*l*l*l/(l*l*l/(l*l*l*l**(-2/43)/l))*l*(l**(4/3)/l)/l**(-2/23) assuming l is positive.
l**(57482/2967)
Simplify (((u/(u*u*u**8))**29)**3)**12 assuming u is positive.
u**(-9396)
Simplify ((l*(l/l**(-38))/l*l)/(l**6*l))**(13/2) assuming l is positive.
l**(429/2)
Simplify ((b*b/(b**(-1/2)/b*b*b))/((b/(b/(b*b/(b/b**(-5)))))/b))/(b**(4/3)/(b*b*b/((b/(b/(b*b/(b*b/(b**12/b)))))/b)*b*b)) assuming b is positive.
b**(1/6)
Simplify o**(-19)*o/(o*o**(-4/5))*o*o/(o/(o**(-11)*o))*o*o**24 assuming o is positive.
o**(-11/5)
Simplify (q*q*q/(q/(q/(q/q**(2/5))))*q/q**4)/(q/(q*(q*((q*q**(-12))/q)/q)/q))**22 assuming q is positive.
q**(-1433/5)
Simplify (((h*h**6)/(h/(h/(h/h**(-3/5)))))**(-1))**(-19) assuming h is positive.
h**(513/5)
Simplify (w**2*w)**28*(w*(w/(w*w/(w/(w**(-3)/w)))*w)/w*w)/(w*(w*w**(2/13))/w*w) assuming w is positive.
w**(1142/13)
Simplify (((r**(-1)*r)/r)**(-3)/((r*r**0)/r)**34)**(-5/4) assuming r is positive.
r**(-15/4)
Simplify ((o*o/o**(1/3)*o**4)/(o**(-1))**(1/21))**(6/17) assuming o is positive.
o**(240/119)
Simplify (a*a/(a*a**(-4))*a)**(-44)*(a/((a*(a*a*((a/(a*((a*a/a**(-1/3))/a*a)/a))/a*a)/a*a)/a)/a))**19 assuming a is positive.
a**(-716/3)
Simplify (l*l*l*l**(6/11)*l*(l*l/(l**28*l))/l)/(l**(-7/3)/l*l*((l*l/l**37)/l)/l) assuming l is positive.
l**(524/33)
Simplify (t**6/(t/(((t*t**(3/5)*t)/t*t)/t))*((t/(t/(t*t*t**(-1/6)/t*t)))/t)/(t*t/(((t**2/t)/t)/t*t)))**(-3/29) assuming t is positive.
t**(-163/290)
Simplify (((n/(n**(-2/7)*n))**29)**0)**39 assuming n is positive.
1
Simplify (m**(-3/4)/m)**(3/38)*m**(-2/9)*m*m**(-4)*m assuming m is positive.
m**(-3229/1368)
Simplify c**(-6/7)/(((c**(-6)*c*c)/c)/c)*c*c*(c*c**(-3/4))/c*c*c**(1/5)*c assuming c is positive.
c**(1203/140)
Simplify (((z*z/(z/(z*z/(z*z*z*z**(-20)/z))))/z*z*z)/z**(2/47))/(z**2)**(-7) assuming z is positive.
z**(1690/47)
Simplify ((v**(-24)*v*v)/v*v**(2/13))/((v**(-2/13)*v)/(v*v*v**(3/11)*v)) assuming v is positive.
v**(-2920/143)
Simplify (x*x**0*x)**(2/45)*x/(x*((x/(x*(x/(x*x**(-1/5)))/x))/x)/x)*x/(x*x**(7/6)) assuming x is positive.
x**(11/90)
Simplify (l*l*l**(-4/17)*l)**(-50)/((l*(l**(-2/51)/l)/l)/((l*l**(-2/11)*l)/l*l)) assuming l is positive.
l**(-75947/561)
Simplify ((y**0*y)/(y*(y*y**(-5)/y*y)/y*y))**(2/113) assuming y is positive.
y**(8/113)
Simplify ((f/(f*f**(-13)/f*f))**(2/15))**(30/11) assuming f is positive.
f**(52/11)
Simplify a/(((a*a*a**(5/7))/a*a)/a)*a/a**(-15)*a**(-28)/(a**(-21/2)/a*a) assuming a is positive.
a**(-31/14)
Simplify (x**(-25)/x*x*x)**(-28)*(x**(-8))**(-24) assuming x is positive.
x**864
Simplify (((p**(2/5)/p)/p*p)**(-16)*(p**(2/5))**18)**(-23) assuming p is positive.
p**(-1932/5)
Simplify ((x**(-3/11)*x*x*x**(3/4))**(1/7))**36 assuming x is positive.
x**(981/77)
Simplify ((u/(u/(u*u**(1/2))))**41*(u/u**1)/u**(-4))**26 assuming u is positive.
u**1703
Simplify ((l*l/l**25)/l*l*l)**24/(l**(-7)*l**(1/21)) assuming l is positive.
l**(-10942/21)
Simplify ((u/(u*u*u*u**(-1/3)*u*u*u))/((u*u/u**(-1/7)*u)/u)*(u/((u*u*u/(u**(5/2)*u*u)*u)/u*u*u*u))/(u*u**(2/17)/u))**(-12) assuming u is positive.
u**(10606/119)
Simplify (v*v**(-2/7)*v**10/v*(v*v/((v**(-1/5)/v*v)/v))**50)**(-12) assuming v is positive.
v**(-14256/7)
Simplify ((s**(-1)*s)/s)**(-2)/(s**(2/7))**(-1/6) assuming s is positive.
s**(43/21)
Simplify (((y*(y**(-1/5)*y)/y*y)/y**(-2/29))**(-3/13))**(-37) assuming y is positive.
y**(30081/1885)
Simplify (b**(-7/4)/b**(-10))**(-3/11) assuming b is positive.
b**(-9/4)
Simplify (((w/w**0)/w)**(-20)*(w/w**(-1/18))/(w**(2/27)*w))**37 assuming w is positive.
w**(-37/54)
Simplify (i**(-3))**37*i**(-2/9)*i**(2/21) assuming i is positive.
i**(-7001/63)
Simplify ((((c/(c*c**(-1/6)))/c)/(c*c**(-8)))/(c/(c*(c**11/c)/c)*c*c/c**(-10)))**20 assuming c is positive.
c**(190/3)
Simplify (d/(d/((d**18*d)/d)))/d**28*d**(7/3)/d**(-1/2) assuming d is positive.
d**(-43/6)
Simplify o*o**(-5/9)*o*o*o*o/(o*o*o**(-1/5)/o*o*o)*o*(o/(o**12*o))/(o/((o**(1/14)/o)/o*o)*o) assuming o is positive.
o**(-7739/630)
Simplify (y**(-1)/y)/y**1*y/(y**(-3/8)/y*y)*y*y**0/y assuming y is positive.
y**(-13/8)
Simplify ((f**(-5)/f)**(-2/13))**(-10/7) assuming f is positive.
f**(-120/91)
Simplify ((l/(l**(-3/2)*l))**(-29/3)/((l*l**3)/l*l*l**(2/9)))**(2/7) assuming l is positive.
l**(-337/63)
Simplify t**(-1/8)/t**6*t*(t/(t*t/(t/((t*t**8/t*t)/t))))/t*t**(7/4)/t assuming t is positive.
t**(-107/8)
Simplify (((m*(((m/m**(-2/7))/m)/m)/m*m)/m)/(m/(m**13*m)))/(m**(2/23))**46 assuming m is positive.
m**(58/7)
Simplify r/(r*(r/r**4)/r)*r*r/((r*(r/(r*r*r/(r*r**(-7))))/r*r)/r)*r*r**(-7)*r*r*r**(1/17) assuming r is positive.
r**(171/17)
Simplify ((m**7/m*m**(6/5))/(m**(-1/3))**40)**(-1/83) assuming m is positive.
m**(-308/1245)
Simplify (x**(1/18)/(x/((x/(x/x**(-30)))/x*x)))**23 assuming x is positive.
x**(-12811/18)
Simplify (l**(-2/31)/(l**(-3/28)*l))**(3/32) assuming l is positive.
l**(-2493/27776)
Simplify (m/m**0)**13*((((m/(m/((m**4/m)/m))*m)/m)/m)/m)**(-1/2) assuming m is positive.
m**13
Simplify (s/s**(1/4))/(s*s*s/(s**(-4)/s))*(s/(s/s**(-2)))**(-45) assuming s is positive.
s**(331/4)
Simplify ((o**(2/5))**(-27/4)/((o*o/(o*o/o**(12/11)*o))/o*o**(1/2)))**(-4/5) assuming o is positive.
o**(504/275)
Simplify (w*w*(((w**6/w)/w)/w)/w*w*w**(1/2))/(w**(-2/7)/w)**(-17) assuming w is positive.
w
|
{
"pile_set_name": "DM Mathematics"
}
|
he square root of 9731 to the nearest integer?
99
What is 2592 to the power of 1/4, to the nearest integer?
7
What is 26958 to the power of 1/9, to the nearest integer?
3
What is 2242 to the power of 1/3, to the nearest integer?
13
What is 10550 to the power of 1/2, to the nearest integer?
103
What is 14216 to the power of 1/3, to the nearest integer?
24
What is 18712 to the power of 1/2, to the nearest integer?
137
What is the third root of 27438 to the nearest integer?
30
What is 6450 to the power of 1/2, to the nearest integer?
80
What is the square root of 11156 to the nearest integer?
106
What is 2510 to the power of 1/6, to the nearest integer?
4
What is the third root of 17799 to the nearest integer?
26
What is the third root of 44693 to the nearest integer?
35
What is 556 to the power of 1/3, to the nearest integer?
8
What is the ninth root of 7572 to the nearest integer?
3
What is the fourth root of 6576 to the nearest integer?
9
What is the third root of 19821 to the nearest integer?
27
What is 4730 to the power of 1/3, to the nearest integer?
17
What is 6148 to the power of 1/2, to the nearest integer?
78
What is the third root of 1113 to the nearest integer?
10
What is 13082 to the power of 1/3, to the nearest integer?
24
What is the ninth root of 54253 to the nearest integer?
3
What is 2990 to the power of 1/10, to the nearest integer?
2
What is the third root of 62028 to the nearest integer?
40
What is 97034 to the power of 1/2, to the nearest integer?
312
What is the square root of 137258 to the nearest integer?
370
What is 8354 to the power of 1/3, to the nearest integer?
20
What is 62271 to the power of 1/2, to the nearest integer?
250
What is the seventh root of 26135 to the nearest integer?
4
What is the square root of 25031 to the nearest integer?
158
What is the square root of 74706 to the nearest integer?
273
What is 1147 to the power of 1/2, to the nearest integer?
34
What is 481 to the power of 1/3, to the nearest integer?
8
What is the seventh root of 10953 to the nearest integer?
4
What is 1161 to the power of 1/5, to the nearest integer?
4
What is the fourth root of 2257 to the nearest integer?
7
What is the ninth root of 5653 to the nearest integer?
3
What is the third root of 173974 to the nearest integer?
56
What is the third root of 20859 to the nearest integer?
28
What is 5600 to the power of 1/2, to the nearest integer?
75
What is the third root of 4025 to the nearest integer?
16
What is the seventh root of 12513 to the nearest integer?
4
What is the seventh root of 1616 to the nearest integer?
3
What is the square root of 3010 to the nearest integer?
55
What is the square root of 137192 to the nearest integer?
370
What is 6091 to the power of 1/3, to the nearest integer?
18
What is 857 to the power of 1/2, to the nearest integer?
29
What is 396 to the power of 1/3, to the nearest integer?
7
What is the cube root of 3906 to the nearest integer?
16
What is the square root of 63630 to the nearest integer?
252
What is the cube root of 8974 to the nearest integer?
21
What is the square root of 1864 to the nearest integer?
43
What is 1848 to the power of 1/4, to the nearest integer?
7
What is the ninth root of 641 to the nearest integer?
2
What is the square root of 1132 to the nearest integer?
34
What is the fourth root of 284 to the nearest integer?
4
What is 736 to the power of 1/8, to the nearest integer?
2
What is the square root of 4758 to the nearest integer?
69
What is the ninth root of 12472 to the nearest integer?
3
What is the square root of 34990 to the nearest integer?
187
What is 212 to the power of 1/4, to the nearest integer?
4
What is the third root of 542 to the nearest integer?
8
What is 53795 to the power of 1/2, to the nearest integer?
232
What is 1928 to the power of 1/3, to the nearest integer?
12
What is the square root of 35028 to the nearest integer?
187
What is the square root of 3344 to the nearest integer?
58
What is 3228 to the power of 1/2, to the nearest integer?
57
What is the fifth root of 23506 to the nearest integer?
7
What is the cube root of 4698 to the nearest integer?
17
What is 9381 to the power of 1/6, to the nearest integer?
5
What is the ninth root of 6269 to the nearest integer?
3
What is 51076 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 9542 to the nearest integer?
3
What is the third root of 39306 to the nearest integer?
34
What is 13611 to the power of 1/7, to the nearest integer?
4
What is the cube root of 1287 to the nearest integer?
11
What is the third root of 6298 to the nearest integer?
18
What is 30793 to the power of 1/10, to the nearest integer?
3
What is the seventh root of 4430 to the nearest integer?
3
What is the third root of 1456 to the nearest integer?
11
What is 10522 to the power of 1/5, to the nearest integer?
6
What is 912 to the power of 1/3, to the nearest integer?
10
What is the sixth root of 9277 to the nearest integer?
5
What is 666 to the power of 1/2, to the nearest integer?
26
What is the square root of 2193 to the nearest integer?
47
What is 2111 to the power of 1/2, to the nearest integer?
46
What is the square root of 1440 to the nearest integer?
38
What is the third root of 35005 to the nearest integer?
33
What is the cube root of 3929 to the nearest integer?
16
What is the third root of 761 to the nearest integer?
9
What is 4143 to the power of 1/9, to the nearest integer?
3
What is the third root of 22872 to the nearest integer?
28
What is the sixth root of 4918 to the nearest integer?
4
What is 83338 to the power of 1/2, to the nearest integer?
289
What is 1664 to the power of 1/2, to the nearest integer?
41
What is 43656 to the power of 1/9, to the nearest integer?
3
What is 2671 to the power of 1/3, to the nearest integer?
14
What is the cube root of 2227 to the nearest integer?
13
What is 1759 to the power of 1/3, to the nearest integer?
12
What is the sixth root of 1117 to the nearest integer?
3
What is the sixth root of 1138 to the nearest integer?
3
What is 1754 to the power of 1/10, to the nearest integer?
2
What is 22598 to the power of 1/8, to the nearest integer?
4
What is 10687 to the power of 1/3, to the nearest integer?
22
What is the square root of 20464 to the nearest integer?
143
What is the square root of 97 to the nearest integer?
10
What is 5758 to the power of 1/5, to the nearest integer?
6
What is 35372 to the power of 1/3, to the nearest integer?
33
What is the sixth root of 8505 to the nearest integer?
5
What is the square root of 2684 to the nearest integer?
52
What is 32600 to the power of 1/10, to the nearest integer?
3
What is the cube root of 3760 to the nearest integer?
16
What is 18137 to the power of 1/3, to the nearest integer?
26
What is 45497 to the power of 1/8, to the nearest integer?
4
What is the square root of 42414 to the nearest integer?
206
What is 7697 to the power of 1/3, to the nearest integer?
20
What is the third root of 4252 to the nearest integer?
16
What is the third root of 707 to the nearest integer?
9
What is 631 to the power of 1/3, to the nearest integer?
9
What is 44381 to the power of 1/5, to the nearest integer?
9
What is 32521 to the power of 1/2, to the nearest integer?
180
What is 69644 to the power of 1/2, to the nearest integer?
264
What is the fourth root of 14475 to the nearest integer?
11
What is 4703 to the power of 1/3, to the nearest integer?
17
What is 10435 to the power of 1/2, to the nearest integer?
102
What is the square root of 3715 to the nearest integer?
61
What is the cube root of 14815 to the nearest integer?
25
What is 113464 to the power of 1/7, to the nearest integer?
5
What is 1134 to the power of 1/3, to the nearest integer?
10
What is 10993 to the power of 1/2, to the nearest integer?
105
What is 3812 to the power of 1/10, to the nearest integer?
2
What is the square root of 5516 to the nearest integer?
74
What is the seventh root of 16183 to the nearest integer?
4
What is 29767 to the power of 1/2, to the nearest integer?
173
What is 5668 to the power of 1/2, to the nearest integer?
75
What is 548 to the power of 1/3, to the nearest integer?
8
What is 21697 to the power of 1/3, to the nearest integer?
28
What is 353
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 1
Expand (-71*q + 4*q**3 + 71*q)*(-3*q - 2 + 4 + 0*q).
-12*q**4 + 8*q**3
Expand (0*f - f + 4*f)*(f**2 + 0*f**2 - 2*f**2 + (-1 - f + 1)*(2*f - 2*f - 2*f) + (-80 + 80 + 18*f)*(0*f - 4*f + 6*f)).
111*f**3
Expand (-10*f + 10*f - 2*f**2)*(35*f + 33*f**2 - 35*f).
-66*f**4
Expand 0*k + 2*k**4 + 0*k + (-19*k - 40 + 40)*(2*k**2 + 0*k**3 - 8*k**3 - 5*k**3).
249*k**4 - 38*k**3
Expand (2*i - 2*i - i**4)*(-10*i - 15*i - 33*i + (-4 + 1 + 2)*(-2*i + 4*i - 4*i) + 2 + 3*i - 2).
53*i**5
Expand (-v + 7*v + 0*v)*(48 - 48 - 7*v)*(-v - 5*v + 4*v - 2).
84*v**3 + 84*v**2
Expand (-u + 0*u + 0*u)*(3*u**2 - 3*u**2 + 2*u**2) - 3*u**3 + 11*u**3 + 23*u - 7*u**3.
-u**3 + 23*u
Expand (1 + 2 - 6)*(2*t**2 - 4*t**2 + t**2)*(2*t - t - 5*t) + 16*t - 16*t + 7*t**3 + (-2 + 2*t**2 + 2)*(-2*t + 7*t - 3*t).
-t**3
Expand (0 + 2 - 4)*(2 - 2*w - 2) + (3*w - 6*w - w)*(10 - 5 - 11).
28*w
Expand (-2*l**3 + 2*l**3 - l**3)*(128*l + 383*l + 238*l) + (6*l**2 - 2*l**2 - 3*l**2)*(1 - 3*l**2 - 1).
-752*l**4
Expand ((4 + 0 - 3)*(2 + 1 - 2) - 3 + 3 - 2 + 0 + 4 - 6)*(20*v + 27*v - 39*v).
-24*v
Expand (-3 + 5 + 0)*(24*i**4 + 68 - 68) + (3 - i - 3)*(2*i**3 + 0*i**3 - 3*i**3) - 2*i + 2*i + i**4 + i**4 + 6*i**4 - i**4.
56*i**4
Expand -22*x**4 + 63 - 63 + (-4*x**2 + 6*x**2 + 5*x**2)*(2*x**2 + 1 - 1).
-8*x**4
Expand (6*f + f + 15*f)*(-9*f - 5*f - 9*f) + 3*f**2 - f**2 + 0*f**2 + (-f**2 - f + f)*(-1 - 1 + 0).
-502*f**2
Expand (-c**3 - c + c + (1 + 2*c - 1)*(-2*c**2 + 1 - 1))*(6*c + 2*c - 3*c)*(-31*c - 8*c - 18*c).
1425*c**5
Expand (0 + 0 + 1)*(z + z + 0*z) + 102 - 510*z - 59 - 44.
-508*z - 1
Expand (-409 - 329 - 4 + 71)*(3*m**2 - 3*m**2 + m**2).
-671*m**2
Expand (3 - 1 - 1)*(3*z**5 + 8*z**5 - 5*z**5) + 8*z**5 + 7*z**5 + 5*z**5.
26*z**5
Expand (0 + 1 - q**2 - q**2)*(9 + 3 + 0).
-24*q**2 + 12
Expand ((2 - 2 - 2)*(0 + 3 - 1) - 88 - 109 + 12)*(6*p - 3*p - p).
-378*p
Expand (-4 + g + 4)*(7*g - 14*g + g**4 - 6*g**4 + 5*g).
-5*g**5 - 2*g**2
Expand -3*t**2 + 3*t**2 - t**4 + (26*t**2 - 9*t**2 - 2*t**2)*(2*t**2 + 2*t**2 - 3*t**2).
14*t**4
Expand (f**4 + 29 - 2271*f**3 + 2271*f**3)*(2*f + 0*f + f).
3*f**5 + 87*f
Expand (16 - 8 + b**2 - 2)*(21 + 14 + 3 + b).
b**3 + 38*b**2 + 6*b + 228
Expand (-1 + a + 1)*(-3 + 5 - 3) - 3*a + 2*a - a + 6*a - 6 + 6.
3*a
Expand -s**3 - 3*s**3 + 3*s**3 - 2*s**3 - 1 + 1 + (-3*s**2 + 2*s**2 - s**2)*(4*s + 0*s - 3*s) + 12*s**3 - 50*s**3 - 3*s**3.
-46*s**3
Expand (2817 - 2817 - 243*t)*(-2 + 4 - 3).
243*t
Expand (0*p + 2*p - p)*(-22*p + 141*p + 62*p).
181*p**2
Expand -4*a + 5*a**3 + 4*a + (5*a - 6*a + 0*a)*(2*a**2 + 0*a**2 - a**2) + 52*a**2 + 69*a**3 - 52*a**2.
73*a**3
Expand -4*i + 4*i - i**2 + (-5 + 6 + 2)*(-i + 5*i - i)*(-i + 6*i - 3*i).
17*i**2
Expand (3*g**2 - 30*g + 30*g)*(6 - 6 - 4*g**2) + g**3 - g**3 + g**4.
-11*g**4
Expand (-y + 5*y - 2*y)*(-2*y - y**3 + 2*y) + (2*y**4 + y**2 - y**2)*(-1 + 2 + 0)*(-913 + 384 + 389).
-282*y**4
Expand (1 - 1 - 2*k**3)*(-2*k**2 + 5*k**2 - k**2) + (-k**4 + k**4 + 2*k**4)*(-2*k - 2 + 2) - 5*k**4 + 3*k**4 + 4*k**5 - k**5 + 0*k**2 + 0*k**2 - 5*k**5.
-10*k**5 - 2*k**4
Expand (38*z**2 - 2 + 40*z**2 - 107*z**2)*(-1 - 4 + 3).
58*z**2 + 4
Expand (2*a**4 - 4*a**4 + 4*a**4)*(21 - 67*a + 46*a + 43*a).
44*a**5 + 42*a**4
Expand -2*w**3 + 2*w**3 + w**3 + (2*w - 2 + 2)*(0*w**2 + 2*w**2 - w**2) - 2*w**3 + 7*w**3 + 2 - 10*w**3.
-2*w**3 + 2
Expand (3*g - 3*g - 3*g**2)*(-g - 2*g + 4*g)*(158*g**2 - 137*g**2 + 80*g**2).
-303*g**5
Expand (-3 + 4 + 1)*(76*b**2 + 2 - 20*b**5 - 76*b**2).
-40*b**5 + 4
Expand (-26*s - 26*s - 3*s)*(1 + 0 + 0)*(-s**2 - 1 + 1).
55*s**3
Expand (0*t**2 + t**2 - 2*t**2)*(308*t**2 - 52*t - 50*t + 101*t).
-308*t**4 + t**3
Expand (14 + 3*m - 12 - 9*m)*(14*m**3 + 95*m**2 - 95*m**2).
-84*m**4 + 28*m**3
Expand 0 + h + 0 + (h + 3*h - 3*h)*(3 + 1 - 2) + (-2 + 1 - 3)*(-3*h - 1 + 1) - 15 + 15 - 4*h.
11*h
Expand (-4 + 4 + c)*(25 + 201 + 39).
265*c
Expand (-3 + 3 - 2)*(-1117 + u + 598 + 755).
-2*u - 472
Expand (-3*z**3 + 5*z - 5*z)*(-5 + 3 + 4) - 13 + 27 - 14 + 56*z**3.
50*z**3
Expand (-2 - 6*x**2 - 9*x - 12*x + 20*x)*(-36*x**2 + 23*x**2 - 37*x**2).
300*x**4 + 50*x**3 + 100*x**2
Expand -40 + 2802*w - 2802*w - 3*w**3 + (-w + w + w)*(w**2 + 4*w**2 - w**2).
w**3 - 40
Expand (-2*n - n + 4*n)*(4*n**2 - n**2 - 4*n**2) - 13*n**3 + 6*n**3 - 19*n**2 + 22*n**2.
-8*n**3 + 3*n**2
Expand (-2*h + 5*h - h)*(-h + 8*h - 13*h + 1 - 1 - h + 3*h + 0*h - 4*h - 3*h - 3*h + 5*h - 6*h + 5*h - h + (-h - 4*h + 3*h)*(2 - 2 + 1) + 6 - 2 - 5 - 2*h).
-30*h**2 - 2*h
Expand (13 + 5*z - 14*z - 6)*(4*z**4 - z**4 - 2*z**4).
-9*z**5 + 7*z**4
Expand ((-v - 2*v + v)*(5*v - 5*v - v**2) - 18*v**3 - 7*v**3 - 5*v**3)*(-v + 3*v - v)*(1 + 2 - 2).
-28*v**4
Expand -90*b + 7 + 47*b - b**2 + 41*b + (b + 0*b - 3*b)*(2*b + 0 + 0) + 0*b + 0*b + b**2 + 0*b**2 - b**2 + 0*b**2.
-5*b**2 - 2*b + 7
Expand (127 + 91 + h - 444)*(-6*h - 7 + 7).
-6*h**2 + 1356*h
Expand (o**2 - 2*o**2 + 0*o**2)*(0*o - 3*o - o) + (-2 + 2 - 2)*(2*o - o + 0*o)*(-2*o**2 + 0 + 0) + o - o + o**3 + (-3*o**3 - o**3 + 6*o**3)*(2 - 3 - 1).
5*o**3
Expand (21*n - n - 10*n)*(4*n + 2*n - n) - 4*n + 4*n - 3*n**2.
47*n**2
Expand -9*j + 11*j + 4*j + (3*j - 5*j + 0*j)*(-1 + 3 - 1) + (4 + 4 - 4)*(2*j - 3*j - j) + 3*j + 0*j - 2*j.
-3*j
Expand (-4*j**2 + 4*j**2 + j**2)*(-2 - 4 + 4)*(-7 + 2 + 9)*(-6*j + 7*j - 19*j).
144*j**3
Expand t - t - 3*t + (t + 1 - 1)*(-2 - 1 + 2) + 58 - 56 + 0*t - 3*t.
-7*t + 2
Expand -4*y**4 - y**4 + 4*y**4 + (-46 - 7 + 10)*(2*y + y**2 - 2*y)*(3*y**2 - 2*y**2 - 2*y**2) + 5*y**4 + y**4 - 5*y**4 + (3*y**4 - 2*y**4 + y**4)*(1 + 2 - 1).
47*y**4
Expand (-4 + 4 - d)*(3 - 1 + 0) + 4*d - 3*d - 2*d + (0 - 2 + 3)*(52*d + 27*d - 158*d).
-82*d
Expand (1 + 3 - 6 + 3 - 7 + 2 + 1 - 1 - 1 + (0 + 0 + 1)*(1 + 0 + 0) + 2 + 4 - 4)*(410 + 648*y - 410).
-1296*y
Expand (2 + 2*j - 2)*(3 - 8 + 3)*(13*j + 12*j - 44*j)*(-2 + 2 - 3*j**3).
-228*j**5
Expand -2*d + d + 3*d + 4*d + 115 - 115 - 5*d + 6*d + 0*d + (-1 + 1 - d)*(1 + 0 - 3) - d + d + 2*d + 3*d - 3*d + d + (5*d - 4*d + 0*d)*(1 - 5 + 2).
10*d
Expand -9*r**3 - 2*r**3 + 2*r**3 + (-7*r + 2*r + 0*r)*(3*r**2 + 0*r**2 - 2*r**2) + 3*r**3 + r**3 - 5*r**3.
-15*r**3
Expand (26 - 26 - 8*z)*(3 + 0 + 5*z + 0).
-40*z**2 - 24*z
Expand 927*p**3 - 13105*p + 13105*p + (-3*p + 3*p - p**3)*(6 - 3 - 2).
926*p**3
Expand (-c**3 + 4*c**3 - 2*c**3)*(-2*c + 2*c + c) + 57*c**3 - 57*c**3 + 76*c**4.
77*c**4
Expand (0 - 2 - 3)*(2 + 2 - 6)*(-485 + 485 - 16*h).
-160*h
Expand 104*q**4 + 28*q**4 + 59*q**4 + (2*q**4 - 2*q**4 + 2*q**4)*(-2 + 5 - 4) + 4*q**4 - 4*q**4 + q**4.
190*q**4
Expand 1 - 1 + 2*v + (-v + 5 - 5)*(-2 + 2 + 2) + 3*v - 5*v + 0*v + (2*v - 2*v + 3*v)*(8 - 5 + 5).
22*v
Expand (1 + c - 1)*(-3*c + 5*c + 8*c)*(c**2 - 2*c**2 + 4*c**2) + 3*c**2 - c**2 - 2*c**4 + 0*c**4.
28*c**4 + 2*c**2
Expand (78 + 84*q - 78)*(0 - 3 + 1)*(-3*q + 3*q - q**3).
168*q**4
Expand (0*p + 0*p + p)*(3 + 2 - 4) - 872*p + 317*p + 401*p.
-153*p
Expand (0 + 3 - 1)*(2*a**3 + 0*a**3 + 0*a**3 + (a**2 - 4*a**2 + a**2)*(1 + a - 1) - 4*a**3 + 0*a**3 + a**3 + 5*a**3 - 24*a**3 + 12*a**3).
-20*a**3
Expand (-2*y**2 + y**2 + 0*y**2)*(5*y - 11*y - 9*y + 1)*(-y + 2 - 2).
-15*y**4 + y**3
Expand (0*f**2 - 15*f**2 - 20*f**2)*(0 + 8 + 3).
-385*f**2
Expand (z - 1 + 1)*(0*z + 3*z - 2*z) + 32*z + 22*z**2 - 32*z + (0 - 2*z + 0)*(0 + z + 0) + 2*z - 2*z**2 - 2*z.
19*z**2
Expand (77 + 112 - 62 + 3 - 2 + 1 - 2 + 1 - 1 + 3 - 5 + 0 + (2 + 0 - 1)*(-2 - 3 + 3) - 3 + 1 + 4)*(5*i - 3*i - i).
125*i
Expand -4*l**4 + l**4 + 5*l**4 + (-8*l**3 + 5 - 5)*(12*l + 10*l - 2*l).
-158*l**4
Expand 2*i**2 - 2*i**2 - i**3 + i**3 + 1 - 1 + (4 + 0 - 5)*(-4*i**3 + 2*i**3 + i**3) + 22*i**3 + 32*i**3 - 17*i**3.
38*i**3
Expand -61*a**3 + a + 26*a**3 - 42*a**3 + (2 - 2 + 2*a)*(-a**2 + a - a).
-79*a**3 + a
Expand (3 - 5 - 5*j + 4)*(-3*j**2 - j**2 + 2*j**2 + (3*j + 4*j - 5*j)*(-j + 0 + 0)).
20*j**3 - 8*j**2
Expand (h - 6*h + 3*h)*(3 + 3 - 4) + 3*h - h - h + h + h + 2*h - h - h + 4*h + (3 + 2 - 4)*(0*h + 0*h - h) + (0 + 1 - 3)*(2 - 2 + 3*h) - 3*h + 0*h + 2*h.
-5*h
Expand (-122*b**5 - 433*b**5 + 44*b**5)*(-5 + 1 + 2 + (1 - 1 + 1)*(0 + 2 - 3) + 2 - 3 + 0).
2044*b**5
Expand (3*x**2 - x + x)*(-3*x**3 - x**3 + 5*x**3) + (4*x + 2*x**2 - 4*x)*(3*x**2 - 3*x**2 - 2*x**2)*(-4*x + 4*x + 5*x).
-17*x**5
Expand (-2 + 4 - 1)*(s - 3*s + 4*s) - 4 + 2*s + 4 + (0 - 2 - 1 + 3 - 6 + 4 + 5 - 5 + 2 + 0 + 0 - 2 + (-3 + 2 - 1)*(2 - 1 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 123*p - 12323088 with respect to p.
11048*p**3 + 123
What is the derivative of 331828133*b*f**3 - 430675927*b wrt f?
995484399*b*f**2
Differentiate -2*a**2 + 2075139*a - 2822260 wrt a.
-4*a + 2075139
Find the third derivative of -89132194*b**3 + 2616*b**2 - 2731*b - 2.
-534793164
Find the second derivative of -74081486*k**4 - 31184*k - 614 wrt k.
-888977832*k**2
Differentiate -114891177*l**2 - 133964731 wrt l.
-229782354*l
Differentiate -147669336*c**2*r + 39708731*c**2 wrt r.
-147669336*c**2
Find the third derivative of -96674603*x**4 + 69103111*x**2 + 1 wrt x.
-2320190472*x
Find the third derivative of -38497237*x**4 + 147*x**2 + 59*x + 168 wrt x.
-923933688*x
What is the derivative of -2*v**3 + 2179*v**2 - 568*v - 8637163?
-6*v**2 + 4358*v - 568
Differentiate -90401765*f**2 - 47508175 with respect to f.
-180803530*f
Find the second derivative of -26490*r**2*u**2 + 156*r**2*u + r**2 - 11*r*u**2 - 4*r*u + 45*u**2 - 1387*u wrt u.
-52980*r**2 - 22*r + 90
What is the first derivative of -394774*d**4 + 25*d**2*r**3 - 17310581*r**3 wrt d?
-1579096*d**3 + 50*d*r**3
Differentiate -8157874*w - 590740 wrt w.
-8157874
What is the second derivative of a**3 - 57229368*a**2 + 141*a + 302580?
6*a - 114458736
Find the second derivative of 152156114*r**5 - 36148646*r wrt r.
3043122280*r**3
What is the second derivative of -2*v**4 - 10*v**3 + 491590*v**2 - 23070711*v?
-24*v**2 - 60*v + 983180
Find the third derivative of 62541432*d**6 + 20347908*d**2.
7504971840*d**3
Find the first derivative of 125*q*r**2 + 2*q*r - 72467752*q - 134*r**2 - 53*r wrt r.
250*q*r + 2*q - 268*r - 53
Find the second derivative of 186093026*s**2 + 130695635*s wrt s.
372186052
What is the third derivative of 154729500*c**3 - 13398*c**2 + 4*c - 855 wrt c?
928377000
What is the second derivative of 296460*m**3*p**2 - 7*m**2*p**2 + m**2*p + 12*m*p + 410498*p**2 wrt m?
1778760*m*p**2 - 14*p**2 + 2*p
Differentiate -g**2 + 5015454*g + 2846789 wrt g.
-2*g + 5015454
Find the third derivative of -132*d**3*f**2*y**2 - 9645*d**3*y**3 + d**3*y**2 + 2*d**2*f*y**2 + 48*f**2*y**3 - 760*f**2*y wrt y.
-57870*d**3 + 288*f**2
Find the second derivative of -98822272*t**2 + 1979*t + 8485.
-197644544
Find the second derivative of -69585780*a**5 + 24*a - 658439 wrt a.
-1391715600*a**3
What is the third derivative of 8004366*z**3 - 56*z**2 - 195?
48026196
What is the second derivative of 1171*p**4 - 8*p**3 - 582*p**2 + 395290441*p?
14052*p**2 - 48*p - 1164
What is the second derivative of 1603578*n**4 + n**2 - 992*n - 2491 wrt n?
19242936*n**2 + 2
What is the first derivative of -30256006*r**2 - 7934814?
-60512012*r
Find the second derivative of 147181563*o**2 + 537776129*o wrt o.
294363126
Find the first derivative of 7996828*q**4 - 7*q**3 - 3*q + 1185938986 wrt q.
31987312*q**3 - 21*q**2 - 3
Find the second derivative of -168879677*u**2 - 11956580*u.
-337759354
Find the third derivative of -8182225*i*y**3 + 9292*i*y**2 - 5*i*y + 5*y**2 wrt y.
-49093350*i
What is the first derivative of 2*b**2*d*m - 316084*b**2 + 45*b*d + 11838*b*m**2 + 85*d*m**2 wrt m?
2*b**2*d + 23676*b*m + 170*d*m
What is the second derivative of -7519398*i**5 + 1583867*i - 2 wrt i?
-150387960*i**3
Find the third derivative of -593*a**3*q**2*y + 366923*a**3*q*y + 188372919*a**2*q**2*y + 2*a*q**2*y wrt a.
-3558*q**2*y + 2201538*q*y
Find the first derivative of -4*m**3 + 826*m**2 + 62878*m + 579250787.
-12*m**2 + 1652*m + 62878
What is the first derivative of -2*c**2*k - 6*c**2*z + 12889809*k*z**3 - 153119851*k wrt z?
-6*c**2 + 38669427*k*z**2
Find the first derivative of 131891671*r**3 - 2*r**2 + 560435539.
395675013*r**2 - 4*r
What is the second derivative of 62570*k*y**3 - 92*k*y**2 + 16*k*y - k - 2*y - 4662 wrt y?
375420*k*y - 184*k
What is the derivative of 904656380*u**2 + 754802779?
1809312760*u
Differentiate 136146*a**2*i**2 - 103482013*a**2 - 74*i**3 wrt i.
272292*a**2*i - 222*i**2
Find the third derivative of 103878655*f**2*y**3 + 3*f**2 + 5379002*f*y**2 wrt y.
623271930*f**2
Find the first derivative of -519*u**2*v**2 + 13099*u**2 + 2121*v**2 + 7825*v - 1 wrt u.
-1038*u*v**2 + 26198*u
Find the second derivative of -20807362*x**2 + 4395429*x wrt x.
-41614724
Find the third derivative of -1468455*i**5 - 29*i**4 - 390866*i**2 + 131*i.
-88107300*i**2 - 696*i
Find the third derivative of -206369849*i**5 - 64*i**2 + 4686*i + 101.
-12382190940*i**2
What is the third derivative of -264258*i**3*j*n*v - 18*i**3*n*v**2 - 2*i**2*j*n + 6*i**2*n - 13*i**2 - 44*i*j*n*v**2 - 10*j*n - 3*j*v**2 + 2 wrt i?
-1585548*j*n*v - 108*n*v**2
What is the second derivative of -94172*k**3 - 11197871*k?
-565032*k
Find the first derivative of -76*k*v - 6870594*k - 4764*v wrt v.
-76*k - 4764
Find the second derivative of 427561*z**2 + 14037*z + 63 wrt z.
855122
What is the third derivative of 15*i**3*x - 1400472*i**3 - 359566273*i**2*x + i*x wrt i?
90*x - 8402832
What is the third derivative of 206461174*w**3 + w**2 + 19287*w - 3761 wrt w?
1238767044
Find the second derivative of -42632629*v**2 - 597002*v + 8.
-85265258
What is the third derivative of -60941216*n**6*x**3 + 2*n**2*x**3 + n**2*x + 33*n**2 - 6*n*x**3 + 36*n*x**2 - 166*x**2 wrt n?
-7312945920*n**3*x**3
What is the second derivative of 201191090*p**2 - 377467338*p?
402382180
What is the derivative of -296971731*k**3*t**3 - 59*k**3 + 1175936*k**2 wrt t?
-890915193*k**3*t**2
Differentiate 4896355*a**3*h - 297062*a**3 - 7 with respect to h.
4896355*a**3
What is the derivative of 2604074*k + 45361745 wrt k?
2604074
Differentiate -217*p**2*x*y - 2*p**2*x - 6*p**2*y + 2*p*x + 4810*p*y + 6895*p - 148 with respect to y.
-217*p**2*x - 6*p**2 + 4810*p
What is the second derivative of 126310*h**3*w**2 - 245423*h**3*w - 487*w**2 - 958*w wrt w?
252620*h**3 - 974
Find the third derivative of 18835364*a**6 + a**5 - 7*a**2 - 446843.
2260243680*a**3 + 60*a**2
Find the third derivative of -7*c**5 - 5*c**4 - 17067*c**3 - c**2 + 99*c - 798.
-420*c**2 - 120*c - 102402
What is the second derivative of 1136*h**3*o**2 - 8*h**3*o + h**3 + 2*h**2*o**2 + 4*h**2*o + 1298*h**2 + 2*h*o**2 - h*o + 264*o**2 + 10*o wrt o?
2272*h**3 + 4*h**2 + 4*h + 528
Differentiate -338111*j**2 - 17*j - 4112001.
-676222*j - 17
What is the derivative of 7295954*d**4 + 3*d**3 + 73279988?
29183816*d**3 + 9*d**2
Find the third derivative of 87403674*u**3 + 50*u**2 - 10*u + 238.
524422044
What is the derivative of 153*z**3 + 166*z**2 + 206*z - 142328345 wrt z?
459*z**2 + 332*z + 206
Differentiate 4*v**4 - 3*v**2 - 253196*v + 2085845 with respect to v.
16*v**3 - 6*v - 253196
Differentiate 3*b**3 + 3*b**2 - 124259*b - 9229976 with respect to b.
9*b**2 + 6*b - 124259
Find the first derivative of 68994032*m**3 - 131189651.
206982096*m**2
What is the third derivative of -542*m**3*z**2 - 9848*m**3*z - 57*m**2*z**2 - 7*m**2*z - 252*m**2 - 15*m - 1 wrt m?
-3252*z**2 - 59088*z
Find the third derivative of 427895526*c**3*k**2 + 413*c**2*k + c**2 + 2*c*k**2 + 3074*c*k wrt c.
2567373156*k**2
Differentiate -61*a*n**2 + 11*a*n + 345340950*a - 25*n**2 + 92*n wrt n.
-122*a*n + 11*a - 50*n + 92
Find the third derivative of 9736*m**3*o**3 - 571*m**3 - 73*m**2*o**3 - 5*o**3 + 29237*o**2 wrt o.
58416*m**3 - 438*m**2 - 30
Find the third derivative of u**4 - 10628191*u**3 - 604*u**2 - 15824*u.
24*u - 63769146
What is the second derivative of -584495*s*z**2 + 365*s*z + 188828*s + 3*z**4 + 2*z - 2 wrt z?
-1168990*s + 36*z**2
Find the third derivative of -149092*b**3*x**3*y + b**3*x**3 + 108*b**3 + 702*b**2*x**3*y + 13*b**2*x**2*y + 2*b + 58*x**3*y - 4*x**2 wrt b.
-894552*x**3*y + 6*x**3 + 648
What is the derivative of -921*i**3*q - 695*i**3 - 3*i**2*q - 1916*i**2 - 7*i*q + q wrt q?
-921*i**3 - 3*i**2 - 7*i + 1
What is the second derivative of -250889485*z**5 - 1098574*z - 24 wrt z?
-5017789700*z**3
Find the second derivative of 1189312753*k**3 - 663496023*k wrt k.
7135876518*k
Find the second derivative of -26*h**5 + 33*h**3 - 1194*h**2 + 42*h - 617161 wrt h.
-520*h**3 + 198*h - 2388
Find the second derivative of -1528*i**4 + 2770*i**3 + 394*i + 132403 wrt i.
-18336*i**2 + 16620*i
Find the first derivative of -63592917*b**4 + 53095405.
-254371668*b**3
What is the third derivative of 1212*c**4 + 681*c**3 - 120*c**2 - 100*c + 23?
29088*c + 4086
What is the derivative o
|
{
"pile_set_name": "DM Mathematics"
}
|
0*x = v*x. Which is the closest to x? (a) d (b) 0.3 (c) 3/11
c
Let r = 57/260 + 2/65. Let z be ((-1)/3)/((-14)/126). Let o be (14/4 - 3)*(z - 7). What is the nearest to o in r, 1/7, -1?
-1
Let h be (-39)/7 - ((-69)/15 - 4/10). What is the nearest to 2/5 in -1/3, 4, 0, h?
0
Let m = 3/26 - 67/130. Let d = -4.5662 - -4.1662. What is the closest to m in 1/3, 3, d, -5?
d
Let u = -0.1572 - -0.2572. Let w = 0.5 + -0.9. Which is the nearest to -1/4? (a) w (b) -4 (c) u
a
Let q be (16/10)/((-6)/(-15)). Let b = -2872 + 2872.4. What is the nearest to 0.1 in -2/5, b, q?
b
Let y be 3/2*1848/(-9702). What is the nearest to -0.2 in 47, -1/2, y, 0?
y
Let w = -5830 + 5827. Which is the nearest to -1? (a) -8 (b) 1/3 (c) w (d) 3
b
Let r = 539 + -538.8. Which is the closest to 0.1? (a) r (b) 2/35 (c) -0.1
b
Let j be ((-255)/(-90))/(10/(-15)). Let p = j + 9/2. Let g = -5 + 4.7. What is the closest to p in 1.3, g, -5?
g
Let l = 42 + -39. Let y = 457 + -452. What is the nearest to 2/31 in l, y, -0.4?
-0.4
Let g = 171 + -170.7. Let u = 63 + -39. Let w = 119/5 - u. Which is the closest to g? (a) -4 (b) w (c) 3
b
Let k = -158.43 + 158.348. What is the closest to 0.1 in -67, 3, k?
k
Let d = -22.9 + 23. Suppose -164*s + 80*s = -252. Let m be (1 - 3)/(17*1). Which is the closest to d? (a) m (b) s (c) 5
a
Let i be (-10)/65 + -1 + 1. Let y = 91.8 + -112. Let u = -20 - y. Which is the nearest to -0.1? (a) i (b) u (c) 0.1
a
Let q = 2466 - 2491. Which is the closest to q? (a) 4 (b) 24 (c) -1
c
Let r be 22/(-33)*(-138)/(-4). Let x be (r/40 - 0) + 9/45. What is the nearest to -1 in x, -1/4, 0.08?
x
Let x = -10.158 + 13.158. Which is the nearest to -7? (a) x (b) -2 (c) -0.3 (d) -0.2
b
Let j be (11/3 + -60 + 55)*-15. Which is the closest to 0.1? (a) 0.07 (b) 5 (c) j (d) 3
a
Let g = -325/33 + 112/11. Which is the nearest to -1? (a) 42 (b) g (c) -6
b
Let a be (-1)/((-715)/(-165)*(-1 - 5/(-2))). What is the nearest to -0.4 in -132, -0.2, a?
-0.2
Let j = 342.247 + 0.753. Let l = 343 - j. Which is the closest to l? (a) -0.3 (b) 2 (c) 12/5
a
Let f be (-42)/144 - (-3)/16*-2. What is the nearest to 0.3 in f, -1.5, 0.2?
0.2
Let q(u) = -u**3 - 5*u**2 - 2*u + 1. Let z = -96 + 93. Let y be (-10 - -4)/((-6)/z). Let g be q(y). Which is the closest to -2? (a) g (b) 4 (c) 0
c
Let y be 4/10 - 26815/75. Let n = y - -357. Let r = 82412/23 + -3583. Which is the nearest to -1? (a) 1 (b) n (c) r
b
Let o = -2.038 + -0.962. Let s be 10/(-34)*(-6)/5. What is the nearest to -1/2 in o, 4/3, s?
s
Let y = 11682 - 513985/44. Let m = y - 3/11. Which is the nearest to 0.1? (a) 4 (b) -1 (c) m
c
Let g = -19.485 - -19.285. Let h = 3.1 + -3. Which is the closest to g? (a) 4 (b) 0.2 (c) h
c
Let h = -0.029 - -12.029. Let i = h - -46. Let c = i - 58.5. What is the nearest to 0 in c, 0.13, -1/3?
0.13
Let m = 1246.19 - 1218. Let h = m + -2.99. Let o = h - 25. Which is the closest to -0.2? (a) o (b) -2 (c) 4
a
Let q = -606 + 610. Let w = -75 + 77. What is the nearest to 2/5 in q, w, -3, -7?
w
Let z be (-87)/99 - (-150)/275. Let m = 5008/15 + -334. What is the closest to z in m, -1.3, 3?
m
Let l = -6.07 + 6.27. Let m = l - 0.13. What is the nearest to -0.2 in 1/4, m, 2/3, -2?
m
Let d = 0.169 - 0.069. Let k = -8 - -5. Let h = 210.9 - 211. Which is the nearest to h? (a) d (b) 0.5 (c) k
a
Let o be (6100/3355)/(0 - 2). What is the closest to -3 in -1, 0.1, -2, o?
-2
Let f = -36262 - -761323/21. Let m = f + 26/3. Let o = 2.63 - 3.13. What is the nearest to 0.17 in m, 5, o?
m
Let t = 107 - 102. Suppose 0 = 5*l, -t*p + 0*p = 4*l. Suppose 3*m = -5*n + 4, 2*m + p = 4*n + 10. What is the closest to n in 0.2, 0.05, 0.1?
0.05
Let w = -66.4 - -88. Let j = -46 + 24. Let b = j + w. What is the closest to 0 in b, -2, -2/9?
-2/9
Let k = 0.242 - 49.742. Let u = -49 - k. Let m = 2.943 - -0.057. What is the nearest to -1 in u, m, 0?
0
Let v be (5*13/325)/(11/145). Let m = v - 239/99. Suppose -2*b - 3*k - 21 = 0, -6 = -4*b + 3*k - 39. What is the nearest to 1/3 in b, m, 2?
m
Let y = 175.02 - 3.12. Let k = y + -172. What is the closest to -4 in k, 1, 3/5?
k
Suppose -16*s + 17 = -30*s + 13*s. Which is the closest to s? (a) -3/4 (b) 2 (c) -1/3
a
Let y = -0.2326 + -0.7674. Which is the closest to y? (a) 14 (b) 2/11 (c) -5
b
Let o be (-24)/10 + (-14)/(-35). Suppose 70 = 14*y + 21*y. Suppose 4*g = 8*g - 4*v - 8, -6 = -y*v. Which is the closest to o? (a) g (b) 1/3 (c) -1
c
Let y = 5885 + -5887. Which is the nearest to 2? (a) 8 (b) y (c) 9
b
Let t be 49/(-33) - -1 - 52/286. Let i = 3/31 - 83/217. Which is the nearest to t? (a) -0.3 (b) -3 (c) i
a
Let s = 0.64146 + 2.35854. Let g be (-64)/30 + 0 - -2. What is the nearest to 2/7 in s, -4, g?
g
Let j = 25.8 + -26.8. Let t = -0.297 - -0.197. Which is the nearest to j? (a) 2 (b) t (c) 1/15 (d) 0.5
b
Let f = 0.243 + 30.157. Let o = 6.3 + -36.3. Let d = o + f. Which is the nearest to -2/3? (a) d (b) -3 (c) 5
a
Let p be (-22)/(-144) + 162/(-432). Which is the closest to -0.5? (a) p (b) -0.5 (c) 15
b
Let w = -2.8 + -3. Let z = -59.2 + w. Let f = 64.9 + z. Which is the closest to -2? (a) f (b) -3/7 (c) -4
b
Let k = 517.3 + -518.3. Which is the closest to -1? (a) 0.2 (b) -0.4 (c) 3 (d) k
d
Suppose 5 = i - 6*i - 3*r, -i + 2*r = -12. Let s = -0.3 - -1.3. Let g = 0.7 + 3.3. What is the closest to s in i, g, 1/3?
1/3
Let x be (-2 - -1)/(2/6). Let p = -766.9841 + -0.0159. Let u = p - -770. Which is the nearest to -0.2? (a) -0.5 (b) u (c) x
a
Let n = -3 - -3.1. Let j = 0 - -3. Let x be (-44)/(-4) + (17 - 28). Which is the closest to x? (a) j (b) 0 (c) n
b
Let q = -4117/10 + 2056/5. Let o be (213/84)/1 - 2. Let r = 3/28 - o. What is the nearest to 1 in q, -2/13, r?
-2/13
Let x be (260/(-9) + 29)*27/2. What is the nearest to -2 in 4, x, 50, -0.4?
-0.4
Let b = 364 - 364. Let p = -291.5 - -292. Let l be 3 + (-1 - -2) - 1. What is the closest to b in l, -0.1, p?
-0.1
Let q = -13381 + 13355. Which is the closest to -0.1? (a) -4 (b) 4 (c) q (d) 9
a
Let k = -0.046 + 5.246. Let f = k - 2.2. Let o be 8/6*6 + -8. Which is the closest to o? (a) -2 (b) 1 (c) f
b
Let m = 14533 - 14530. Which is the nearest to 1? (a) 151 (b) -3/4 (c) m (d) -0.1
d
Let y be 52/10 - (-9)/36*-20. What is the closest to y in 0.1, 2/9, 0.4, 1?
2/9
Let t be (5 + -2)*8/(-12). Suppose l = -4*x + 12, -2*l = 3*l + 4*x - 28. Suppose -l*d - 40 = -9*d. Which is the nearest to d? (a) t (b) 5 (c) 1
b
Suppose 0 = -5*v - 10, -13*o + 3*v = -8*o - 11. Let x be ((-5)/10)/(2/(-24)). What is the closest to o in -2/5, x, 2?
2
Let n = -153905/9 - -17101. What is the nearest to n in -0.2, 3, -6?
-0.2
Let v = -287.3 - -287.7. Which is the closest to 1? (a) v (b) -103 (c) 0.16
a
Let s = 850.1549 + -0.1549. Let x = -844 + s. What is the closest to -1 in x, 10, -0.1?
-0.1
Let d be ((-931)/35)/((-18)/15) + -2. Let c = 39/2 - d. What is the nearest to 3/2 in c, -2/5, -1/5?
-1/5
Let a be (4/(-10))/((-7)/(-6580)). Let m = a - -4886/13. Suppose -2 - 7 = 2*h - n, 2*n - 20 = 5*h. What is the closest to -2 in m, h, 0?
h
Let y = 6403 + -6405. Let v = 9/4 + -49/20. Let l = 6 + -8. Which is the closest to y? (a) -0.5 (b) l (c) v
b
Let r = 9 - 12. Let h be (2/(-4))/((-3)/(-4)). Let k = -62635/2 - -31315. What is the nearest to h in r, 4/3, k?
k
Let f = -0.0454 - 507.9546. Let v = f + 507. Let q = 0.1 - 0.1. What is the closest to q in -0.4, v, -1/10?
-1/10
Let u = -89.5515 - 0.0485. Let r = u - -88.5. Which is the nearest to 3? (a) -2 (b) -0.1 (c) 1/6 (d) r
c
Let m = 40.6 - 63. Let o = m - -22.8. Which is the closest to -2/3? (a) o (b) 5 (c) 1/11
c
Let t = 489 + -3421/7. Let z = 0.13 - 0.23. Which is the nearest to 1? (a) t (b) -2 (c) z
a
Let m(k) = -24*k + 89. Let d be m(6). Let g be -1 + -1 - 115/d. Let z = -0.1 + -0.1. Which is the nearest to 1/2? (a) 0.3 (b) z (c) g
a
Let v = -2 + 2. Let l = 174082.8 - 174083. Which is the closest to -2/21? (a) 0.3 (b) l (c) 0.4 (d) v
d
Let o(h) = -h**3 - 4*h**2 + h. Let s be o(-6). Let t = -131/2 + s. Let a = 81 + -69. What is the nearest to a in t, 0.1, 4?
4
Let a = 0.15 - 4.15. Let r = -4103/3 - -1366. What is the nearest to r in -4/5, a, 3?
-4/5
Let l = -3903 + 3903. What is the closest to l in -2/15, -1, -3, -3/2?
|
{
"pile_set_name": "DM Mathematics"
}
|
nvert 230249.5s to microseconds.
230249500000
How many months are there in five quarters of a year?
15
What is 6.907977 microseconds in seconds?
0.000006907977
How many millimeters are there in 2/125 of a kilometer?
16000
What is one tenth of a litre in millilitres?
100
Convert 2.7685245 months to years.
0.230710375
How many seconds are there in 1/6 of a day?
14400
What is 270566.04 minutes in hours?
4509.434
How many millilitres are there in five eighths of a litre?
625
How many grams are there in 89.3298 micrograms?
0.0000893298
How many micrograms are there in fourty-five halves of a milligram?
22500
What is fifty-one halves of a milligram in micrograms?
25500
What is 31/2 of a decade in months?
1860
How many minutes are there in ten sevenths of a week?
14400
How many nanograms are there in 0.274982t?
274982000000000
What is seven quarters of a century in months?
2100
What is seventy-three fifths of a decade in years?
146
How many centimeters are there in 19.9752mm?
1.99752
Convert 5.692716ug to tonnes.
0.000000000005692716
What is 4204.969 millennia in years?
4204969
How many kilograms are there in 13/5 of a tonne?
2600
How many kilometers are there in 1.110203 micrometers?
0.000000001110203
How many milliseconds are there in 3/32 of a minute?
5625
How many millilitres are there in thirty-one fifths of a litre?
6200
How many micrograms are there in 7/4 of a milligram?
1750
Convert 999520.7 hours to seconds.
3598274520
What is 0.0599479cm in millimeters?
0.599479
What is 85683.06l in millilitres?
85683060
What is nineteen quarters of a centimeter in micrometers?
47500
Convert 14961.46l to millilitres.
14961460
How many seconds are there in two fifteenths of a week?
80640
How many millilitres are there in eighteen fifths of a litre?
3600
How many meters are there in 96835.09 nanometers?
0.00009683509
Convert 216272.5 kilometers to meters.
216272500
How many grams are there in 3505.818 kilograms?
3505818
What is 1/6 of a hour in seconds?
600
Convert 85.5772 millennia to years.
85577.2
What is 1/16 of a kilometer in centimeters?
6250
What is 0.9896271ng in micrograms?
0.0009896271
What is 42/5 of a litre in millilitres?
8400
Convert 26.7846723ns to days.
0.00000000000031000778125
How many millilitres are there in one quarter of a litre?
250
What is 29/2 of a milligram in micrograms?
14500
How many millilitres are there in 66301.59 litres?
66301590
How many kilometers are there in 2.919293um?
0.000000002919293
How many kilograms are there in 1/10 of a tonne?
100
How many kilograms are there in 6/5 of a tonne?
1200
Convert 23634.56 centuries to millennia.
2363.456
What is two ninths of a day in seconds?
19200
Convert 0.4361165ng to tonnes.
0.0000000000000004361165
What is 2722169.1 months in centuries?
2268.47425
What is 7/8 of a litre in millilitres?
875
How many nanometers are there in 8007.75 meters?
8007750000000
What is 6/5 of a litre in millilitres?
1200
What is 1/4 of a millennium in decades?
25
How many months are there in 2516.259 decades?
301951.08
Convert 7054.578cm to kilometers.
0.07054578
What is one twentieth of a decade in months?
6
What is 73.05099m in kilometers?
0.07305099
How many nanograms are there in 382660.1 grams?
382660100000000
How many months are there in 3/40 of a century?
90
How many months are there in 635.1867 years?
7622.2404
Convert 82.82923 micrometers to kilometers.
0.00000008282923
How many months are there in thirteen eighths of a decade?
195
What is 7/4 of a centimeter in micrometers?
17500
How many meters are there in thirteen fifths of a kilometer?
2600
Convert 0.3331145ml to litres.
0.0003331145
How many millimeters are there in nine tenths of a centimeter?
9
How many meters are there in 37/5 of a kilometer?
7400
How many litres are there in 0.0349697 millilitres?
0.0000349697
What is 11/2 of a kilogram in grams?
5500
How many millilitres are there in 8/25 of a litre?
320
Convert 175.9716m to kilometers.
0.1759716
How many millilitres are there in 21/2 of a litre?
10500
How many grams are there in 0.2456793ng?
0.0000000002456793
How many centimeters are there in 368.414nm?
0.0000368414
What is 667.428mm in kilometers?
0.000667428
What is 34.0254g in milligrams?
34025.4
Convert 0.1530914mg to tonnes.
0.0000000001530914
What is 7542.43 millennia in centuries?
75424.3
How many decades are there in thirteen fifths of a century?
26
What is 9/10 of a millennium in centuries?
9
Convert 75488.26 meters to micrometers.
75488260000
How many millilitres are there in 5/8 of a litre?
625
How many meters are there in one fifth of a kilometer?
200
How many milligrams are there in 1/20 of a gram?
50
How many hours are there in one quarter of a day?
6
How many millimeters are there in six fifths of a centimeter?
12
How many months are there in 25.35647 millennia?
304277.64
What is seven halves of a minute in seconds?
210
How many nanograms are there in three eighths of a microgram?
375
How many decades are there in one tenth of a millennium?
10
Convert 974.6059m to centimeters.
97460.59
What is fourty-six fifths of a millennium in centuries?
92
What is 0.0803378 litres in millilitres?
80.3378
What is 5.612665ml in litres?
0.005612665
How many nanograms are there in 40.27761 milligrams?
40277610
What is 186657.9g in kilograms?
186.6579
What is 1/6 of a millennium in months?
2000
How many minutes are there in fifty-one fifths of a hour?
612
What is thirteen twelths of a year in months?
13
What is 2/15 of a hour in minutes?
8
What is sixty-one quarters of a micrometer in nanometers?
15250
What is seven thirds of a century in months?
2800
What is 535.846 centuries in months?
643015.2
What is one fifth of a millennium in years?
200
What is twenty-five quarters of a century in months?
7500
What is 73/4 of a second in milliseconds?
18250
Convert 233554.9nm to meters.
0.0002335549
What is 3/10 of a centimeter in micrometers?
3000
What is 1/10 of a meter in centimeters?
10
What is eight sevenths of a week in days?
8
Convert 0.7564523 millennia to decades.
75.64523
What is 28.40276 years in months?
340.83312
What is one fifth of a litre in millilitres?
200
What is 21/8 of a millennium in years?
2625
Convert 33.58095 meters to kilometers.
0.03358095
What is 11/4 of a minute in seconds?
165
How many micrometers are there in 1.833726cm?
18337.26
How many months are there in twenty-seven halves of a year?
162
What is fifty-one halves of a millennium in decades?
2550
What is one fifth of a centimeter in millimeters?
2
What is 3/8 of a millimeter in micrometers?
375
How many meters are there in 94.48969 nanometers?
0.00000009448969
How many kilograms are there in 8773.878mg?
0.008773878
How many millimeters are there in 21/5 of a meter?
4200
What is 110.5725 hours in nanoseconds?
398061000000000
How many months are there in 35292.86 years?
423514.32
What is 4/7 of a week in days?
4
Convert 8926.399 millilitres to litres.
8.926399
How many milliseconds are there in seven quarters of a second?
1750
How many nanometers are there in 3/10 of a micrometer?
300
What is 23351.46 tonnes in milligrams?
23351460000000
Convert 1833.96 meters to millimeters.
1833960
How many nanoseconds are there in 2.39549 days?
206970336000000
What is sixty-one halves of a litre in millilitres?
30500
How many milligrams are there in 917.9534t?
917953400000
What is 0.5189115ml in litres?
0.0005189115
What is ninety-three quarters of a litre in millilitres?
23250
What is 4/3 of a millennium in months?
16000
How many weeks are there in 934.36413 hours?
5.56169125
How many millilitres are there in 3/5 of a litre?
600
What is 348.5003cm in meters?
3.485003
What is three fifths of a kilometer in meters?
600
How many years are there in 3/10 of a millennium?
300
How many millilitres are there in one quarter of a litre?
250
What is 3/50 of a meter in centimeters?
6
What is 113399.3m in micrometers?
113399300000
What is six fifths of a centimeter in millimeters?
12
What is 2156.5362 minutes in hours?
35.94227
Convert 81594.31 millilitres to litres.
81.59431
What is eight thirds of a decade in months?
320
How many millilitres are there in seven eighths of a litre?
875
What is fourty-three quarters of a meter in millimeters?
10750
What is 4598.425um in meters?
0.00459842
|
{
"pile_set_name": "DM Mathematics"
}
|
arters of a millimeter in micrometers?
3250
How many kilograms are there in three tenths of a tonne?
300
What is 28.67865l in millilitres?
28678.65
What is 52.36711 litres in millilitres?
52367.11
How many nanometers are there in three fifths of a micrometer?
600
What is 9.288509 millilitres in litres?
0.009288509
How many millilitres are there in 59/5 of a litre?
11800
What is 0.5584563 months in years?
0.046538025
How many millilitres are there in 3/10 of a litre?
300
What is 13/5 of a litre in millilitres?
2600
What is 5246968.86ms in weeks?
0.00867554375
How many hours are there in 2327.1294 minutes?
38.78549
Convert 727263.4t to kilograms.
727263400
How many hours are there in 15/4 of a week?
630
How many millilitres are there in 67092.37 litres?
67092370
How many decades are there in twenty-seven quarters of a millennium?
675
What is 364249.1s in nanoseconds?
364249100000000
How many months are there in 0.5871867 decades?
70.462404
Convert 21446.54 kilograms to tonnes.
21.44654
How many grams are there in 3/25 of a kilogram?
120
Convert 575.0629 micrometers to centimeters.
0.05750629
What is 19/4 of a litre in millilitres?
4750
How many years are there in 33/5 of a millennium?
6600
What is 0.351004ug in nanograms?
351.004
What is 40459.329ms in hours?
0.0112387025
What is 4.058925 millilitres in litres?
0.004058925
How many years are there in 76/5 of a decade?
152
What is thirteen quarters of a decade in months?
390
What is 5.23735ml in litres?
0.00523735
How many millennia are there in 282.20079 months?
0.0235167325
Convert 15005.9 milligrams to nanograms.
15005900000
How many millilitres are there in fourty-seven quarters of a litre?
11750
How many micrograms are there in 17/2 of a milligram?
8500
Convert 39339.5ug to milligrams.
39.3395
What is 34/5 of a hour in minutes?
408
Convert 643113.2 centuries to months.
771735840
How many days are there in 2048.97789 seconds?
0.023715021875
How many kilograms are there in thirty-three fifths of a tonne?
6600
How many millilitres are there in fourty-three halves of a litre?
21500
What is 5/8 of a kilogram in grams?
625
How many milligrams are there in 885.854 micrograms?
0.885854
How many grams are there in eleven quarters of a kilogram?
2750
What is seven sixths of a week in minutes?
11760
How many nanoseconds are there in 1/4 of a microsecond?
250
What is five quarters of a millennium in decades?
125
What is 914.4378ml in litres?
0.9144378
What is 21/4 of a litre in millilitres?
5250
How many decades are there in twenty-seven fifths of a millennium?
540
How many kilometers are there in 0.0253792 millimeters?
0.0000000253792
How many kilograms are there in three eighths of a tonne?
375
Convert 0.3418494 centuries to years.
34.18494
How many kilograms are there in 72021.66 micrograms?
0.00007202166
Convert 35.24888 weeks to hours.
5921.81184
What is 9/10 of a millennium in centuries?
9
What is thirty-seven fifths of a millennium in years?
7400
Convert 246977.883ms to days.
0.0028585403125
What is 354259.1um in kilometers?
0.0003542591
How many micrometers are there in 21/5 of a millimeter?
4200
Convert 7.86879 micrometers to nanometers.
7868.79
What is 92046.4mg in tonnes?
0.0000920464
What is 84579.72um in meters?
0.08457972
How many weeks are there in 231.809886 minutes?
0.0229970125
What is 16.43485 micrometers in meters?
0.00001643485
How many kilometers are there in 0.9572448cm?
0.000009572448
What is 1/10 of a litre in millilitres?
100
What is 6.058193 weeks in seconds?
3663995.1264
How many grams are there in five quarters of a kilogram?
1250
How many nanograms are there in 3/25 of a microgram?
120
What is 42/5 of a milligram in micrograms?
8400
Convert 21676.773s to minutes.
361.27955
What is 7/16 of a centimeter in micrometers?
4375
What is 378949.5 centuries in months?
454739400
How many millilitres are there in 976117.6 litres?
976117600
How many millilitres are there in 1/10 of a litre?
100
Convert 9.487947mm to centimeters.
0.9487947
What is 641655.5 minutes in nanoseconds?
38499330000000000
What is 5/24 of a day in hours?
5
How many millilitres are there in 1/5 of a litre?
200
How many minutes are there in 781.7585 weeks?
7880125.68
What is twenty-one halves of a litre in millilitres?
10500
How many minutes are there in twenty-one fifths of a week?
42336
How many milligrams are there in twenty-one halves of a gram?
10500
Convert 0.9794166ml to litres.
0.0009794166
What is 11/4 of a microsecond in nanoseconds?
2750
What is 19.72444mm in micrometers?
19724.44
What is three fifths of a litre in millilitres?
600
What is eighty-seven halves of a year in months?
522
What is 9/14 of a week in minutes?
6480
What is 5182.025 nanograms in milligrams?
0.005182025
How many nanoseconds are there in 972.8245 weeks?
588364257600000000
How many millilitres are there in 16.53994l?
16539.94
How many minutes are there in 113165.61ms?
1.8860935
How many minutes are there in seven thirds of a week?
23520
What is 1842.18462 microseconds in days?
0.00000002132158125
What is one quarter of a kilometer in centimeters?
25000
How many minutes are there in three tenths of a week?
3024
Convert 16286.37l to millilitres.
16286370
What is fourty-nine quarters of a litre in millilitres?
12250
What is 6/25 of a microgram in nanograms?
240
How many seconds are there in 55.3503 milliseconds?
0.0553503
Convert 771.4428 litres to millilitres.
771442.8
What is twenty-five halves of a litre in millilitres?
12500
Convert 7.72081 grams to kilograms.
0.00772081
What is 18742.752 seconds in weeks?
0.03099
How many micrometers are there in 29/5 of a millimeter?
5800
How many micrometers are there in nine tenths of a millimeter?
900
How many micrometers are there in 9/10 of a centimeter?
9000
Convert 7591.731 litres to millilitres.
7591731
What is 34218.66 millennia in decades?
3421866
How many seconds are there in 31/6 of a minute?
310
How many millilitres are there in 6/25 of a litre?
240
Convert 22362.9mg to micrograms.
22362900
How many milliseconds are there in 2930.18ns?
0.00293018
How many millilitres are there in 279131.8l?
279131800
How many kilometers are there in 0.0816309 meters?
0.0000816309
Convert 0.7618829l to millilitres.
761.8829
What is 0.194531 kilometers in nanometers?
194531000000
Convert 9987.394mg to tonnes.
0.000009987394
How many micrometers are there in twenty-one quarters of a millimeter?
5250
What is 49/5 of a tonne in kilograms?
9800
How many nanograms are there in 59645.56 micrograms?
59645560
Convert 508466.1nm to micrometers.
508.4661
How many millilitres are there in 3/50 of a litre?
60
What is 76/7 of a week in hours?
1824
What is 865574.5 kilograms in micrograms?
865574500000000
What is 8.713266cm in millimeters?
87.13266
How many micrometers are there in thirteen eighths of a centimeter?
16250
How many litres are there in 1823.954ml?
1.823954
Convert 9.854348 milligrams to kilograms.
0.000009854348
How many minutes are there in 73/3 of a hour?
1460
What is seventeen quarters of a century in months?
5100
What is eleven quarters of a micrometer in nanometers?
2750
What is 4740.745ml in litres?
4.740745
What is 43451.49 micrometers in kilometers?
0.00004345149
How many micrometers are there in 389.8669 kilometers?
389866900000
How many years are there in 7/4 of a millennium?
1750
How many millilitres are there in 32/5 of a litre?
6400
How many months are there in thirty-one fifths of a millennium?
74400
What is nine tenths of a litre in millilitres?
900
How many nanograms are there in twenty-one halves of a microgram?
10500
How many meters are there in 9366.753 millimeters?
9.366753
How many millennia are there in 58811.34 centuries?
5881.134
What is 54597.35cm in nanometers?
545973500000
How many grams are there in 322.4161 tonnes?
322416100
Convert 131654.1 weeks to minutes.
1327073328
How many centimeters are there in 507557.9 kilometers?
50755790000
How many nanoseconds are there in 773.7268 hours?
2785416480000000
Convert 20468.11ug to kilograms.
0.00002046811
What is 12/25 of a tonne in kilograms?
480
How many days are there in 9390.887 weeks?
65736.209
What is 7/4 of a day in hours?
42
What is two sevenths of a week in hours?
48
How many decades are there in 9118.533 millennia?
9
|
{
"pile_set_name": "DM Mathematics"
}
|
-1833478, -3666960, -5500440, -7333918?
-9167394
What is the next term in 623753, 2495023, 5613803, 9980093, 15593893?
22455203
What is the next term in 3979, 8120, 12263, 16408?
20555
What is the next term in -10288060, -20575936, -30863812, -41151688?
-51439564
What is the next term in -75595, -75493, -75221, -74695, -73831, -72545, -70753, -68371?
-65315
What is next in 4201729, 8403453, 12605179, 16806907, 21008637?
25210369
What is the next term in 808, 1100, 1306, 1426, 1460?
1408
What is the next term in -36025646, -144102599, -324230856, -576410417, -900641282, -1296923451?
-1765256924
What comes next: -22614, -45194, -67720, -90180, -112562, -134854?
-157044
What comes next: 134559710, 134559711, 134559712, 134559713?
134559714
What is the next term in 117, 148, 253, 468, 829?
1372
What is the next term in 1031373, 1031338, 1031283, 1031208, 1031113, 1030998, 1030863?
1030708
What comes next: -26209428, -26209435, -26209442, -26209449, -26209456, -26209463?
-26209470
What comes next: 29693, 29782, 29875, 29972?
30073
What is next in -8020, -7962, -7860, -7714, -7524?
-7290
What is the next term in -53477, -106963, -160449, -213935, -267421?
-320907
What is the next term in 502, 2282, 5248, 9400, 14738, 21262?
28972
What is the next term in 660976, 1321959, 1982946, 2643937, 3304932, 3965931, 4626934?
5287941
What is next in 10040, 22708, 35376?
48044
What comes next: 617, 1870, 3757, 6278, 9433, 13222?
17645
What is next in 13246221, 13246024, 13245825, 13245624, 13245421?
13245216
What is the next term in 39635483, 79270971, 118906459, 158541947, 198177435, 237812923?
277448411
What is the next term in -436779, -436792, -436805?
-436818
What is next in -1337884, -1337856, -1337828?
-1337800
What is the next term in -97362, -194655, -291948, -389241, -486534?
-583827
What is the next term in -4391716, -4391717, -4391718, -4391719?
-4391720
What is next in 9286, 28676, 60992, 106234?
164402
What is the next term in 9496, 9490, 9474, 9442, 9388?
9306
What comes next: -77233989, -77233987, -77233985, -77233983, -77233981, -77233979?
-77233977
What is next in -15037, -48535, -104365, -182527, -283021?
-405847
What comes next: 8843, 8994, 9149, 9308, 9471, 9638, 9809?
9984
What is the next term in -2033, -1852, -1643, -1412, -1165, -908, -647, -388?
-137
What is the next term in -168369, -168309, -168249, -168189, -168129, -168069?
-168009
What is the next term in 33226, 33289, 33392, 33535, 33718, 33941?
34204
What is the next term in -24926, -51263, -77600, -103937, -130274, -156611?
-182948
What is the next term in -78496, -77671, -76846, -76021, -75196?
-74371
What is the next term in -7023, -6708, -6391, -6072?
-5751
What comes next: 5650, 10786, 15920, 21052, 26182, 31310, 36436?
41560
What is the next term in 84848, 340656, 767002, 1363886, 2131308, 3069268?
4177766
What is next in 998414, 1996817, 2995208, 3993587, 4991954, 5990309, 6988652?
7986983
What comes next: -478997, -1915853, -4310583, -7663193, -11973689, -17242077?
-23468363
What is the next term in 8, -1235, -3766, -7597, -12740, -19207?
-27010
What is the next term in -61045859, -122091723, -183137587?
-244183451
What is the next term in 309, 423, 441, 315, -3, -561, -1407, -2589?
-4155
What comes next: -60, -534, -1796, -4212, -8148, -13970, -22044, -32736?
-46412
What comes next: -998, -4135, -9358, -16607, -25822?
-36943
What is next in -5776012, -11552006, -17328000, -23103994, -28879988, -34655982?
-40431976
What is the next term in -3047653, -6095317, -9142981, -12190645, -15238309?
-18285973
What is next in -2483902, -4967819, -7451736, -9935653, -12419570, -14903487?
-17387404
What is next in 46819, 62540, 78261, 93982?
109703
What comes next: 1894090, 3788175, 5682260, 7576345?
9470430
What comes next: 3588, 4118, 4650, 5184, 5720, 6258?
6798
What is next in -647, -3257, -7601, -13679, -21491, -31037, -42317?
-55331
What comes next: -1557803, -1557685, -1557569, -1557455, -1557343?
-1557233
What is the next term in 257504, 515621, 773738, 1031855, 1289972?
1548089
What is the next term in 24869, 49726, 74547, 99326, 124057, 148734, 173351?
197902
What is the next term in -182438, -729839, -1642174, -2919443, -4561646, -6568783, -8940854?
-11677859
What comes next: 124977, 124984, 124991, 124998?
125005
What is next in -13107934, -13107929, -13107924, -13107919, -13107914?
-13107909
What is the next term in -253895, -507730, -761565, -1015400, -1269235, -1523070?
-1776905
What comes next: 27589, 55369, 83167, 110989, 138841?
166729
What is the next term in 120660016, 120660015, 120660014?
120660013
What comes next: 460524, 460525, 460526, 460527, 460528, 460529?
460530
What is the next term in -2570474, -2570473, -2570472, -2570471?
-2570470
What is the next term in 94112, 93898, 93684, 93470?
93256
What is next in -42094874, -84189755, -126284632, -168379505, -210474374?
-252569239
What comes next: 47011, 97287, 147563, 197839, 248115, 298391?
348667
What is next in -479239, -479236, -479231, -479224, -479215, -479204, -479191?
-479176
What is next in -3479554, -6959602, -10439650, -13919698?
-17399746
What comes next: 2907, 3837, 4767, 5697, 6627, 7557?
8487
What is the next term in -2920857, -2920860, -2920863?
-2920866
What is next in -2076, -6992, -14760, -25380?
-38852
What is the next term in -15613, -15432, -15245, -15052?
-14853
What comes next: -303093, -302844, -302599, -302358, -302121?
-301888
What is next in -301613022, -603226049, -904839076, -1206452103, -1508065130, -1809678157?
-2111291184
What is the next term in -288867, -577777, -866689, -1155597, -1444495?
-1733377
What is the next term in 12565, 12080, 11595, 11110, 10625, 10140?
9655
What comes next: -2072, -8198, -18360, -32546, -50744, -72942, -99128?
-129290
What comes next: 7178634, 7178636, 7178638, 7178640, 7178642, 7178644?
7178646
What is the next term in -14943343, -14943345, -14943347, -14943349, -14943351?
-14943353
What is next in -120070, -240129, -360188, -480247, -600306, -720365?
-840424
What is next in -25241, -50180, -75119, -100058, -124997?
-149936
What is next in -30915497, -30915500, -30915505, -30915512?
-30915521
What is next in 834412, 834440, 834468, 834496, 834524?
834552
What comes next: 16208, 32321, 48434, 64547, 80660?
96773
What is the next term in 495, 1344, 2205, 3078, 3963, 4860?
5769
What comes next: 260290, 260299, 260322, 260365, 260434, 260535, 260674, 260857?
261090
What is the next term in 74542, 298193, 670944, 1192795, 1863746?
2683797
What is the next term in 6006, 1779, -9708, -32085, -68982, -124029?
-200856
What is the next term in 40525537, 40525543, 40525551, 40525561, 40525573, 40525587?
40525603
What comes next: 18767, 37479, 56207, 74957, 93735, 112547?
131399
What is next in -15271730, -30543590, -45815452, -61087316?
-76359182
What is next in 1845163700, 3690327401, 5535491102, 7380654803?
9225818504
What is the next term in 7276, 6584, 5424, 3802, 1724, -804, -3776, -7186?
-11028
What comes next: 9858, 30414, 64680, 112662, 174366, 249798, 338964?
441870
What is next in -1513, -954, -399, 152?
699
What is the next term in 104235543, 208471089, 312706635?
416942181
What is next in 1195, 1497, 2327, 3949, 6627, 10625, 16207?
23637
What is next in -44309, -46734, -49159, -51584?
-54009
What comes next: 5206, 5013, 4740, 4381, 3930, 3381, 2728, 1965?
1086
What comes next: 6412, 25624, 57624, 102394, 159916?
230172
What is the next term in 7701, 7665, 7623, 7575, 7521, 7461, 7395?
7323
What comes next: -1189, -3818, -8199, -14338, -22241, -31914?
-43363
What is the next term in 62268, 122859, 181770, 239001, 294552, 348423?
400614
What is next in -366, -926, -1474, -2004, -2510, -2986?
-3426
What is the next term in -42433015, -84866027, -127299039, -169732051?
-212165063
What is next in -3800, -14914, -33350, -59108, -92188, -132590, -180314?
-235360
What is the next term in 5704947, 5704916, 5704885?
5704854
What is the next term in 10217, 10170, 10123, 10076?
10029
What comes next: 37821076, 37821075, 37821084, 37821109, 37821156, 37821231?
37821340
What is next in -2452, -2418, -2404, -2422, -2484, -2602, -2788, -3054?
-3412
What is the next term in 11020620, 22041236, 33061850, 44082462, 55103072, 66123680?
77144286
What is next
|
{
"pile_set_name": "DM Mathematics"
}
|
x*x**(3/2))))**6 assuming x is positive.
x**(499/455)
Simplify ((a*(a/a**0)/a)/a**(4/5))**(-9)/((a*a/(a*a**9)*a)/(a**0/a))**(-33) assuming a is positive.
a**(-999/5)
Simplify ((z*z*((z**(1/3)*z*z)/z)/z*z/z**5)/(z*z**(2/7))**44)/((z*z/z**(5/4)*z*z**(2/11)*z*z)/((z*(z**(1/4)*z)/z)/z)**(-22)) assuming z is positive.
z**(-62527/924)
Simplify ((k**(-2/23)/(k*k/k**(-5)*k)*(((k/k**(7/5))/k*k)/k)/k**(-3/2))**(1/30))**(1/10) assuming k is positive.
k**(-1837/69000)
Simplify x**(-5)*x**(-1/4)*x*x**(-4)/(x/(x*x*x**(-6)/x))*(((x/(x/x**(-1)))/x)**(4/7))**(-5/3) assuming x is positive.
x**(-1037/84)
Simplify ((w**1)**30*(w**(2/5)*w)**(3/11))/((((w*(w**(-1/3)*w)/w)/w)/w*w*w)/w**(-1)*w**(1/4)/(w/(w/(w/(w**(-1/2)*w))))) assuming w is positive.
w**(19117/660)
Simplify ((((h*h*h/(h*h**24))/h)/h*(h**(-22)*h)/h)/(h**7)**(2/17))**(-50) assuming h is positive.
h**(39800/17)
Simplify ((w**(-2/3))**(-2/27))**1*(w**(-2/3))**(-23/4)/(w**(-2/11)*w**2) assuming w is positive.
w**(3679/1782)
Simplify r*r**(-5)*r**(-6/25)*(r*r**24)**(-2/17) assuming r is positive.
r**(-3052/425)
Simplify ((d**(-2/7)*d*d)**(2/7))**(-14)*(d**(1/5)/d**(-1/8))/(d/(d/d**(3/2))*d**(-1/4)/d) assuming d is positive.
d**(-1899/280)
Simplify ((n**(-1/8)*n*n**(-2/3)/n)/(n*n*n*n/(n/((n/(n*n**(-2/3)*n*n))/n))*n**(-1/7)))**(20/7) assuming n is positive.
n**(-1105/294)
Simplify (((o*((o/(o/((o*o*o**(-3)*o)/o)))/o)/o)/o*o**(2/49))/(o**(2/17)/o*o*o/(o**(2/17)/o)))**(-7/8) assuming o is positive.
o**(243/56)
Simplify ((((v**(1/5)/v)/(v/v**(-15)))/(v**(-1/12)/v*v**15))**(-2/17))**(-21) assuming v is positive.
v**(-12901/170)
Simplify ((w**(-17/6))**8/(w/(w**(-44)/w))**(-1/9))**(-37) assuming w is positive.
w**(5846/9)
Simplify (((((a**(-1)*a)/a)/a)**22*(a**(-1/2))**(14/13))**(-27))**(1/9) assuming a is positive.
a**(1737/13)
Simplify ((k**(-10))**33/(k/(k*k*k*k**(-1/4)))**(1/77))**(-11) assuming k is positive.
k**(14519/4)
Simplify ((k**(3/16)/k)/k)**(-48)/((k**41/k)/k*k**(-7/5)/k) assuming k is positive.
k**(252/5)
Simplify (((g/(g**(2/5)/g)*g*(g/(g**(-2/11)*g))/g)**(-48))**(17/5))**(3/16) assuming g is positive.
g**(-14994/275)
Simplify (u/(u*u**12)*u*u**(-2)/u)**(17/7)*(u**(-2/15)/((u*u/(u*u/(u/u**(2/33))))/u))/(u**3*u**(-1/7)) assuming u is positive.
u**(-14218/385)
Simplify (p**(-2/7))**(1/4)*p**(1/2)/((p*((p*p**(-6)*p)/p)/p)/p)*((p**1)**(-1/14))**14 assuming p is positive.
p**(38/7)
Simplify ((t**(-8)*t**(3/5))/(t**(3/4)/t**(1/7)))/((t**(-3/2))**(-10))**36 assuming t is positive.
t**(-76721/140)
Simplify ((c**(-5)/((c/(c**(-2/3)*c))/c*c))/(c**(-2))**36)**(4/31) assuming c is positive.
c**(796/93)
Simplify (k**(1/6)*k**(-2/7)*k**3/k*k*k*k*k**(-6))/(k**(-2/37)/(k*((k*k**(-12))/k*k)/k))**4 assuming k is positive.
k**(-69779/1554)
Simplify (((p**(-3/4))**50)**(-4/5))**15 assuming p is positive.
p**450
Simplify (n**1)**(10/11)*n**(2/5)/(n**(7/2)*n)*n**2*n**(-3)*n*n**(1/2)/((n/(n/n**7*n))/n) assuming n is positive.
n**(-423/55)
Simplify ((((n*n/(n*n**(-12)*n*n)*n)**(5/11))**(-2/75))**(-1/4))**(-2/13) assuming n is positive.
n**(-4/715)
Simplify ((d/d**(-2))**42/(d*d*d**(-3)*d)**(9/4))**(-7/2) assuming d is positive.
d**(-441)
Simplify (o**(-2/41)*o**(-8))**(26/5)/(o**(-10)*o**10)**(-32/7) assuming o is positive.
o**(-1716/41)
Simplify j**(2/19)*j**(-4/3)*j**(-1/7)*j*j/(j*j**3)*(j*j**(-2/7)*j**2)/(j**1)**(-7) assuming j is positive.
j**(2531/399)
Simplify ((q*q/(q*q/(q**(-2/7)/q))*q)**(-22)*(q/q**4)/(q**(-6)/q))/((q*q/q**3*q)**21)**(1/29) assuming q is positive.
q**(72/7)
Simplify (j**(-2/7))**(3/5)/((j**0*j)/j)**36*((j*j**(-1/4))**(-44))**(-1/10) assuming j is positive.
j**(219/70)
Simplify (((m**(1/4)*m*m)/m)**(-17)*m**(-2/7)/(m/(m**8*m)))/((m*m**(-1))**(3/20)*(m/(((m/((m/(m/m**(1/5)))/m))/m)/m))/m*m*m*m**1*m) assuming m is positive.
m**(-2483/140)
Simplify (((((u**9*u)/u*u*u*u)/(u*u*u**(8/3)))**(-2))**(-7/4))**(2/69) assuming u is positive.
u**(154/207)
Simplify (((j**(-3/7)*(j*j**(-12))/j)**(-2))**(-35))**(-15) assuming j is positive.
j**13050
Simplify (p**(1/19)*p*(p/(p*p**(-47)*p*p))/p)/((p*p**(-17)/p*p*p)/(p*p**40)) assuming p is positive.
p**(1920/19)
Simplify (u**(-2))**(-34)*u**(-2/31)*(u**1*u)/u*u/(u*u*u**(-5))*u**(6/11)*((u/u**(1/2))/u*u)**(-18) assuming u is positive.
u**(21988/341)
Simplify ((n/n**3)/n**(1/9))/(n*n**(-2)*n**7)*(n**(-2/5))**9/(n**(-1/5)/n**(3/8)) assuming n is positive.
n**(-4009/360)
Simplify ((((k/(k**0/k))/k*k*k)/k)**(-25/4)/(k*(k/(k/k**6))/k*k**1))/(k/k**(1/10)*k**(-1/5))**27 assuming k is positive.
k**(-192/5)
Simplify ((v*v**(-3)*v*v)**(-2/147))**(-44)*((v**(-8)/v)/v*v/(v**(-4/3)/v))**(-15/4) assuming v is positive.
v**25
Simplify (l**(-3)*((l*(l/(l/((l/(l*l**(-1)))/l)))/l*l*l*l)/l)/l)**(-1/13)*(l**(-2/5))**(5/14)/((l/l**(-7)*l)/l**(-1/3)) assuming l is positive.
l**(-2545/273)
Simplify ((q*q**(3/4))**9*(q*q**(-2)*q)**43)**(-9) assuming q is positive.
q**(-567/4)
Simplify ((j**(1/4))**(-17))**(-3/20)/((j**(2/7))**(-3/32)*j**(2/3)/(j/j**5*j*j)) assuming j is positive.
j**(-841/420)
Simplify (h**(-28)/(h**(1/12)/h*h*h*h))/(h*h*h*h*(h**(-18)/h*h)/h*((h*h/(h**(8/15)/h)*h)/h)/h) assuming h is positive.
h**(-331/20)
Simplify ((m**4*m*m)/m**6)**28/((m*m**(2/3)*m)/m*(m*m**(1/12))/m*m/m**6*m**(-3/11)/m) assuming m is positive.
m**(199/44)
Simplify ((z**(1/4)*z)**(3/8)*z**(-3)*z**(-1/3))/(((z**(2/7)*z)/z)**(-30)*z/(z**(-1/3)/z)*z**(2/5)) assuming z is positive.
z**(9991/3360)
Simplify (m/m**(-8)*m*m/(m*m/(m/m**3)))**(-12/11)*((m/m**(2/3))/m**(-7))/(m**(1/6)/((m*m**8)/m)) assuming m is positive.
m**(497/66)
Simplify ((q*q/q**(2/7)*q)**(-5/14))**(-15)*(q**(-2/13)/q**4)**(7/4) assuming q is positive.
q**(4632/637)
Simplify (((l*l/((l*l**6)/l)*l*l**(-1/7))**25)**19)**(2/57) assuming l is positive.
l**(-1100/21)
Simplify ((w**1/w)**(6/31))**(-9/7)*(w/w**(-1/7))/(w**(-2/7)*w)*(w/w**0)**(2/13) assuming w is positive.
w**(53/91)
Simplify ((k**(-2/125)*k**(1/4))/((k**(2/37)*k)/(k/k**(11/3))))**(-7/2) assuming k is positive.
k**(1354591/111000)
Simplify (b**(-2/23)/(b**13/b)*(b**4)**(-3/5))**(1/68) assuming b is positive.
b**(-49/230)
Simplify (f*f*f**(2/3))**(2/19)*(f*f*f*f**(-2/7)*f*f)**(-4)*(f**(1/3)/f**(1/3))**(2/75) assuming f is positive.
f**(-7412/399)
Simplify ((v*v*v*v**(-2/5))**(-39)*v*v**(6/5)*v*v**(-2/3))**(-1/21) assuming v is positive.
v**(1483/315)
Simplify ((x/x**3)**(-9)/(x/(x/x**(4/5))*((x*x*x**(-16)*x*x)/x)/x))**(-19) assuming x is positive.
x**(-2964/5)
Simplify (((j/((j*j**(12/11))/j))/j*(j**(-9)*j)/j)/(j*j/(j/(j*j**(1/22)/j))*j**(-3/10)))**35 assuming j is positive.
j**(-4172/11)
Simplify ((n**(2/7)*n)/n**(1/3))**(-38)/((n*n/(n*n**7)*n)/(n*n/(n*n**(4/3)*n*n*n)))**(25/6) assuming n is positive.
n**(-3685/126)
Simplify (((p*p/(p*p*p*p/(p**(-1)*p))*p)/(p/p**2)*((p/p**(-1/2))/p)**(-10))**(4/23))**11 assuming p is positive.
p**(-220/23)
Simplify ((t**49/t)/t)**(-2/43)*(t**(-45))**5 assuming t is positive.
t**(-9769/43)
Simplify ((d**0)**(-34)*d/(d**(1/8)/d)*d*d/d**5)/(d/d**(-3/8)*d*(d/(d/d**0)*d)/d*(d**(1/3))**42) assuming d is positive.
d**(-35/2)
Simplify (y*y/(y/(y/y**(6/37))))**(-18)*((y/(y*y/(y/y**(-2/85))*y))/y*y)**10 assuming y is positive.
y**(-26950/629)
Simplify (d/(d/((d**0*d*d)/d)))**(39/7)*d**(1/3)*d*d**4/d*d**(4/3)/(d**4*d*d)*(d**(-1/4))**9 assuming d is positive.
d**(251/84)
Simplify ((t**(-8/9)*t*t)/(t*t/(t/t**(16/11))))/(t**(-9/4)*t)**(-4/3) assuming t is positive.
t**(-298/99)
Simplify (((a**6*a)/a*((a**(-5)/a)/a)/a)/((a*a*(a*a*(a**(-1/3)*a)/a)/a*a)/a)**(5/6))/(((a/(a**(2/7)/a))/a**(-7))/(a**(1/4))**(-13)) assuming a is positive.
a**(-4079/252)
Simplify (d**(-7)*d*d*d**(4/9)*d*d)/(d**1*d)**(-17)*((d/d**(5/6))/(((d/(((d*d**(-2/11)/d)/d)/d*d)*d)/d*d)/d))**(-1/25) assuming d is positive.
d**(156049/4950)
Simplify (((q/((q/(q*q*q**(-7/5)*q))/q)*q*q)**(-33))**(-31))**(-33) assuming q is positive.
q**(-776457/5)
Simplify (m**(-3/13)/m**(-37))/((m*(m**(-4/13)*m)/m*m)/(m*m**(-7)/m*m)) assuming m is positive.
m**(378/13)
Simplify ((k*k**(-2/11)*k)/k)**14/(k*(((k/(k/k**(-20)))/k*k)/k*k)/k*k/(k*k*k**(3/22))) assuming k is positive.
k**(717/22)
Simplify (l**(-6)*l**(33/2)*l**10/((l**(2/43)*l*l)/l))**(-1/3) assuming l is positive.
l**(-1673/258)
Simplify ((h*h**3*h**(-2/5))/((h*h**3)/h**0))/((h**(1/2))**(24/7)/(h**(-2/3)*h)**(-1/40)) assuming h is positive.
h**(-1783/
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest integer?
57
What is 52793 to the power of 1/2, to the nearest integer?
230
What is 294842 to the power of 1/2, to the nearest integer?
543
What is 153954 to the power of 1/10, to the nearest integer?
3
What is 8663503 to the power of 1/3, to the nearest integer?
205
What is the fourth root of 8629622 to the nearest integer?
54
What is the cube root of 3097265 to the nearest integer?
146
What is 287269 to the power of 1/2, to the nearest integer?
536
What is the tenth root of 2209084 to the nearest integer?
4
What is 64977 to the power of 1/7, to the nearest integer?
5
What is 615090 to the power of 1/2, to the nearest integer?
784
What is the eighth root of 2588649 to the nearest integer?
6
What is the square root of 122178 to the nearest integer?
350
What is the square root of 250993 to the nearest integer?
501
What is the third root of 1978428 to the nearest integer?
126
What is the third root of 722936 to the nearest integer?
90
What is the square root of 71247 to the nearest integer?
267
What is 4429930 to the power of 1/8, to the nearest integer?
7
What is the fifth root of 792881 to the nearest integer?
15
What is the ninth root of 7899559 to the nearest integer?
6
What is 633357 to the power of 1/8, to the nearest integer?
5
What is the eighth root of 49616 to the nearest integer?
4
What is the tenth root of 6851595 to the nearest integer?
5
What is 1181527 to the power of 1/2, to the nearest integer?
1087
What is 2685104 to the power of 1/3, to the nearest integer?
139
What is the cube root of 2115127 to the nearest integer?
128
What is the square root of 23072546 to the nearest integer?
4803
What is the cube root of 433271 to the nearest integer?
76
What is the sixth root of 1002968 to the nearest integer?
10
What is the square root of 6139641 to the nearest integer?
2478
What is the square root of 235918 to the nearest integer?
486
What is 1463466 to the power of 1/2, to the nearest integer?
1210
What is the tenth root of 808913 to the nearest integer?
4
What is 4356625 to the power of 1/10, to the nearest integer?
5
What is 236219 to the power of 1/8, to the nearest integer?
5
What is the cube root of 400038 to the nearest integer?
74
What is 459848 to the power of 1/6, to the nearest integer?
9
What is the third root of 3244757 to the nearest integer?
148
What is the third root of 1071150 to the nearest integer?
102
What is 814207 to the power of 1/5, to the nearest integer?
15
What is the seventh root of 13045383 to the nearest integer?
10
What is 80013 to the power of 1/5, to the nearest integer?
10
What is 102807 to the power of 1/2, to the nearest integer?
321
What is 23114197 to the power of 1/3, to the nearest integer?
285
What is the cube root of 2493644 to the nearest integer?
136
What is 686194 to the power of 1/7, to the nearest integer?
7
What is the ninth root of 2630562 to the nearest integer?
5
What is 35732043 to the power of 1/10, to the nearest integer?
6
What is the tenth root of 261552 to the nearest integer?
3
What is the square root of 665302 to the nearest integer?
816
What is 3934460 to the power of 1/9, to the nearest integer?
5
What is the third root of 722958 to the nearest integer?
90
What is 480778 to the power of 1/2, to the nearest integer?
693
What is the fifth root of 1136357 to the nearest integer?
16
What is the third root of 811705 to the nearest integer?
93
What is the square root of 18659 to the nearest integer?
137
What is 376581 to the power of 1/3, to the nearest integer?
72
What is the square root of 432549 to the nearest integer?
658
What is the third root of 1536102 to the nearest integer?
115
What is 40767997 to the power of 1/2, to the nearest integer?
6385
What is 5412691 to the power of 1/6, to the nearest integer?
13
What is the square root of 2464577 to the nearest integer?
1570
What is 3337720 to the power of 1/2, to the nearest integer?
1827
What is the tenth root of 8897639 to the nearest integer?
5
What is the cube root of 259629 to the nearest integer?
64
What is the third root of 325653 to the nearest integer?
69
What is 1768587 to the power of 1/10, to the nearest integer?
4
What is the cube root of 21190246 to the nearest integer?
277
What is the sixth root of 890749 to the nearest integer?
10
What is 1341031 to the power of 1/2, to the nearest integer?
1158
What is 3936440 to the power of 1/2, to the nearest integer?
1984
What is 7690791 to the power of 1/3, to the nearest integer?
197
What is the eighth root of 3063695 to the nearest integer?
6
What is the fourth root of 147595 to the nearest integer?
20
What is the fifth root of 9006999 to the nearest integer?
25
What is 37061891 to the power of 1/2, to the nearest integer?
6088
What is the tenth root of 43289562 to the nearest integer?
6
What is 623814 to the power of 1/2, to the nearest integer?
790
What is 4003176 to the power of 1/2, to the nearest integer?
2001
What is 774454 to the power of 1/3, to the nearest integer?
92
What is the square root of 16203872 to the nearest integer?
4025
What is the square root of 461866 to the nearest integer?
680
What is the square root of 837335 to the nearest integer?
915
What is the cube root of 265396 to the nearest integer?
64
What is 241013 to the power of 1/2, to the nearest integer?
491
What is the third root of 669135 to the nearest integer?
87
What is the third root of 795529 to the nearest integer?
93
What is 159046 to the power of 1/8, to the nearest integer?
4
What is the cube root of 510340 to the nearest integer?
80
What is 162380 to the power of 1/2, to the nearest integer?
403
What is the cube root of 180000 to the nearest integer?
56
What is 2529121 to the power of 1/4, to the nearest integer?
40
What is the cube root of 333726 to the nearest integer?
69
What is the square root of 525891 to the nearest integer?
725
What is the cube root of 22573648 to the nearest integer?
283
What is the square root of 2393237 to the nearest integer?
1547
What is the cube root of 1636803 to the nearest integer?
118
What is the eighth root of 88825 to the nearest integer?
4
What is the cube root of 749430 to the nearest integer?
91
What is 202565 to the power of 1/7, to the nearest integer?
6
What is 951408 to the power of 1/8, to the nearest integer?
6
What is 10792275 to the power of 1/4, to the nearest integer?
57
What is the square root of 7129263 to the nearest integer?
2670
What is the square root of 5633647 to the nearest integer?
2374
What is the square root of 826140 to the nearest integer?
909
What is the square root of 33868865 to the nearest integer?
5820
What is 61625 to the power of 1/2, to the nearest integer?
248
What is the square root of 7185807 to the nearest integer?
2681
What is the third root of 212220 to the nearest integer?
60
What is 11004662 to the power of 1/4, to the nearest integer?
58
What is the square root of 240878 to the nearest integer?
491
What is the square root of 6445446 to the nearest integer?
2539
What is the third root of 18489935 to the nearest integer?
264
What is the third root of 22003305 to the nearest integer?
280
What is 16038149 to the power of 1/10, to the nearest integer?
5
What is 603513 to the power of 1/9, to the nearest integer?
4
What is 1207258 to the power of 1/2, to the nearest integer?
1099
What is 794829 to the power of 1/2, to the nearest integer?
892
What is the sixth root of 484440 to the nearest integer?
9
What is 1780117 to the power of 1/3, to the nearest integer?
121
What is 565534 to the power of 1/4, to the nearest integer?
27
What is the cube root of 896003 to the nearest integer?
96
What is the square root of 108393 to the nearest integer?
329
What is 1131189 to the power of 1/9, to the nearest integer?
5
What is 169706 to the power of 1/3, to the nearest integer?
55
What is 10245281 to the power of 1/2, to the nearest integer?
3201
What is 261360 to the power of 1/8, to the nearest integer?
5
What is the third root of 9985093 to the nearest integer?
215
What is 13612223 to the power of 1/3, to the nearest integer?
239
What is 420693 to the power of 1/3, to the nearest integer?
75
What is 4572819 to the power of 1/10, to the nearest integer?
5
What is the cube root of 5005081 to the nearest intege
|
{
"pile_set_name": "DM Mathematics"
}
|
j'th term of 1124, 2225, 3316, 4391, 5444, 6469?
-j**3 + j**2 + 1105*j + 19
What is the p'th term of -70, -128, -174, -202, -206?
p**3 - 65*p - 6
What is the r'th term of 31, 60, 87, 106, 111?
-r**3 + 5*r**2 + 21*r + 6
What is the d'th term of 539, 1081, 1623, 2165, 2707?
542*d - 3
What is the r'th term of -129, -130, -131, -132, -133?
-r - 128
What is the w'th term of -156, -628, -1422, -2544, -4000, -5796, -7938?
-w**3 - 155*w**2
What is the f'th term of -542, -1079, -1618, -2159?
-f**2 - 534*f - 7
What is the s'th term of 3347, 6693, 10039, 13385?
3346*s + 1
What is the f'th term of 85, 71, 39, -17, -103, -225, -389?
-f**3 - 3*f**2 + 2*f + 87
What is the l'th term of -386, -395, -418, -461, -530, -631, -770, -953?
-l**3 - l**2 + l - 385
What is the g'th term of 9, 7, -5, -33, -83, -161?
-g**3 + g**2 + 2*g + 7
What is the x'th term of 8, 114, 398, 950, 1860?
15*x**3 - x**2 + 4*x - 10
What is the i'th term of 9888, 9887, 9886, 9885, 9884, 9883?
-i + 9889
What is the u'th term of 930, 929, 930, 933?
u**2 - 4*u + 933
What is the t'th term of 78, 80, 82, 84?
2*t + 76
What is the s'th term of 559, 558, 557?
-s + 560
What is the t'th term of -217, -221, -229, -241, -257?
-2*t**2 + 2*t - 217
What is the g'th term of 470, 466, 462?
-4*g + 474
What is the t'th term of -38, -37, -46, -71, -118, -193, -302?
-t**3 + t**2 + 5*t - 43
What is the q'th term of -2741, -5477, -8213?
-2736*q - 5
What is the p'th term of 14, 6, -2, -10?
-8*p + 22
What is the h'th term of 1415, 2830, 4245, 5660, 7075?
1415*h
What is the g'th term of 201, 394, 587, 780?
193*g + 8
What is the i'th term of 63, 204, 345?
141*i - 78
What is the c'th term of 62, 75, 104, 155, 234, 347?
c**3 + 2*c**2 + 59
What is the o'th term of 138, 599, 1360, 2415, 3758?
-o**3 + 156*o**2 - 17
What is the g'th term of 111, 221, 329, 435?
-g**2 + 113*g - 1
What is the m'th term of -64, -141, -210, -265, -300?
m**3 - 2*m**2 - 78*m + 15
What is the c'th term of 42, 110, 218, 366, 554, 782?
20*c**2 + 8*c + 14
What is the s'th term of 16706, 16703, 16700, 16697, 16694?
-3*s + 16709
What is the h'th term of -1152, -2307, -3448, -4569, -5664, -6727, -7752, -8733?
h**3 + h**2 - 1165*h + 11
What is the q'th term of -126, -124, -122, -120, -118, -116?
2*q - 128
What is the q'th term of -48, -31, 6, 69, 164, 297, 474, 701?
q**3 + 4*q**2 - 2*q - 51
What is the z'th term of -34, -48, -50, -34, 6, 76, 182?
z**3 - 21*z - 14
What is the o'th term of 41, 26, -5, -58, -139, -254, -409?
-o**3 - 2*o**2 - 2*o + 46
What is the n'th term of 7840, 7837, 7832, 7825, 7816, 7805, 7792?
-n**2 + 7841
What is the y'th term of -1, -22, -79, -190, -373, -646, -1027, -1534?
-3*y**3 + 2
What is the y'th term of -616, -1232, -1848?
-616*y
What is the q'th term of 127, 504, 1133, 2014?
126*q**2 - q + 2
What is the j'th term of 16, 49, 108, 199, 328?
j**3 + 7*j**2 + 5*j + 3
What is the g'th term of 29, 43, 45, 29, -11, -81?
-g**3 + 21*g + 9
What is the c'th term of 7, 7, 1, -11?
-3*c**2 + 9*c + 1
What is the r'th term of 1165, 1169, 1173, 1177, 1181, 1185?
4*r + 1161
What is the y'th term of -202, -799, -1794, -3187, -4978, -7167?
-199*y**2 - 3
What is the s'th term of -7, -93, -333, -805, -1587, -2757, -4393?
-13*s**3 + s**2 + 2*s + 3
What is the x'th term of -36, -50, -64?
-14*x - 22
What is the z'th term of -37, -73, -107, -133, -145, -137, -103?
z**3 - 5*z**2 - 28*z - 5
What is the f'th term of 17722, 35430, 53124, 70798, 88446, 106062?
-f**3 - f**2 + 17718*f + 6
What is the l'th term of -22, -19, -20, -25, -34, -47, -64?
-2*l**2 + 9*l - 29
What is the r'th term of 30, 19, 8, -3, -14, -25?
-11*r + 41
What is the s'th term of 5, 8, 13, 20, 29, 40, 53?
s**2 + 4
What is the t'th term of -17, -41, -71, -107, -149?
-3*t**2 - 15*t + 1
What is the b'th term of -29, -55, -81?
-26*b - 3
What is the n'th term of 60, 121, 178, 231?
-2*n**2 + 67*n - 5
What is the j'th term of -975, -977, -979, -981, -983, -985?
-2*j - 973
What is the a'th term of -13, -27, -41?
-14*a + 1
What is the u'th term of 74, 147, 210, 257, 282?
-u**3 + u**2 + 77*u - 3
What is the h'th term of 34, 63, 90, 115, 138, 159?
-h**2 + 32*h + 3
What is the l'th term of 34, 32, 28, 22, 14, 4, -8?
-l**2 + l + 34
What is the m'th term of 7240, 7239, 7238, 7237, 7236?
-m + 7241
What is the y'th term of -12, -44, -96, -168, -260?
-10*y**2 - 2*y
What is the n'th term of 926, 928, 930, 932, 934?
2*n + 924
What is the u'th term of 1041, 2081, 3121, 4161, 5201, 6241?
1040*u + 1
What is the k'th term of 17, 25, 47, 89, 157, 257?
k**3 + k**2 - 2*k + 17
What is the x'th term of 31, 31, 23, 1, -41, -109, -209?
-x**3 + 2*x**2 + x + 29
What is the n'th term of 31, 110, 239, 412, 623, 866, 1135?
-n**3 + 31*n**2 - 7*n + 8
What is the h'th term of -30, -18, 8, 54, 126?
h**3 + h**2 + 2*h - 34
What is the o'th term of -67, -162, -269, -388, -519, -662, -817?
-6*o**2 - 77*o + 16
What is the r'th term of 40, 110, 216, 358, 536, 750, 1000?
18*r**2 + 16*r + 6
What is the t'th term of 1818, 3635, 5452?
1817*t + 1
What is the g'th term of 85, 106, 139, 190, 265?
g**3 + 14*g + 70
What is the d'th term of 112, 119, 126, 133, 140?
7*d + 105
What is the t'th term of 10456, 10455, 10454, 10453?
-t + 10457
What is the t'th term of -13, 0, 21, 50?
4*t**2 + t - 18
What is the x'th term of -575, -2294, -5159, -9170, -14327, -20630?
-573*x**2 - 2
What is the t'th term of 1389, 2777, 4163, 5547, 6929, 8309?
-t**2 + 1391*t - 1
What is the c'th term of 62, 195, 418, 731, 1134?
45*c**2 - 2*c + 19
What is the m'th term of -16, -42, -86, -148, -228?
-9*m**2 + m - 8
What is the a'th term of 32, 13, -6, -25, -44, -63?
-19*a + 51
What is the o'th term of -94, -86, -72, -52?
3*o**2 - o - 96
What is the u'th term of 38, 34, 28, 20, 10, -2?
-u**2 - u + 40
What is the n'th term of -69, -123, -175, -225?
n**2 - 57*n - 13
What is the t'th term of 71, 167, 263, 359?
96*t - 25
What is the t'th term of -106, -109, -112, -115?
-3*t - 103
What is the m'th term of 116, 248, 390, 542, 704, 876, 1058?
5*m**2 + 117*m - 6
What is the z'th term of 34, 126, 276, 484?
29*z**2 + 5*z
What is the j'th term of -37, -28, -7, 32, 95, 188, 317, 488?
j**3 + 2*j - 40
What is the b'th term of 30, 224, 744, 1752, 3410?
27*b**3 + b**2 + 2*b
What is the j'th term of -453, -904, -1357, -1812, -2269, -2728?
-j**2 - 448*j - 4
What is the a'th term of 63, 120, 173, 222, 267, 308, 345?
-2*a**2 + 63*a + 2
What is the w'th term of -9, -5, 13, 51, 115, 211?
w**3 + w**2 - 6*w - 5
What is the x'th term of 173, 323, 473, 623, 773, 923?
150*x + 23
What is the u'th term of -5, -44, -109, -200, -317?
-13*u**2 + 8
What is the g'th term of -24, -87, -196, -357, -576, -859, -1212, -1641?
-g**3 - 17*g**2 - 5*g - 1
What is the t'th term of 30030, 60051, 90058, 120045, 150006, 179935?
-t**3 - t**2 + 30031*t + 1
What is the q'th term of 587, 583, 577, 569, 559, 547, 533?
-q**2 - q + 589
What is the b'th term of 94, 96, 98, 100, 102, 104?
2*b + 92
What is the o'th term of -7, 8, 39, 92, 173?
o**3 + 2*o**2 + 2*o - 12
What is the r'th term of -8, -9, -16, -35, -72, -133?
-r**3 + 3*r**2 - 3*r - 7
What is the d'th term of 27, 91, 197, 345, 535?
21*d**2 + d + 5
What is the p'th term of 219, 225, 235, 249, 267, 289?
2*p**2 + 217
What is the y'th term of -189, -401, -629, -873?
-8*y**2 - 188*y + 7
What is the n'th term of -34, 33, 210, 551, 1110, 1941, 3098, 4635?
9*n**3 + n**2 + n - 45
What is the n'th term of -32, 167, 376, 601, 848, 1123, 1432?
n**3 - n**2 + 195*n - 227
What is the p'th term of 1813, 1811, 1809, 1807, 1805, 1803?
-2*p + 1815
What is the z'th term of 200, 404, 608, 812, 1016?
204*z - 4
What is the p'th term of 10, -10, -76, -212, -442, -790, -1280?
-4*p**3 + p**2 + 5*p + 8
What is the h'th term of 159, 328, 509, 708, 931, 1184, 1473?
h**3 + 162*h - 4
What is the u'th term of -46, -61, -76, -91?
-15*u - 31
What is the o'th term of -155, -138, -121?
17*o - 172
What is the q'th term of 993, 989, 985, 981?
-4*q + 997
What is the n'th term of -17, -18, -17, -14?
n**2 - 4*n - 14
What is the w'th term of -1276, -2569, -3886, -5239, -6640, -8101, -9634, -11251?
-2*w**3 - 1279*w + 5
What is the d'th term of -7, -16, -29, -46, -67, -92?
-2*d**2 - 3*d - 2
What is the a'th term of -44, -49, -54, -59?
-5*a - 39
What is the n'th term of -479, -958, -1437, -1916, -2395?
-4
|
{
"pile_set_name": "DM Mathematics"
}
|
lue? (a) 0.1 (b) 0 (c) -4 (d) 13 (e) -5
c
What is the third biggest value in -1.2, -5, -1/6, 0.4?
-1.2
What is the fourth smallest value in 4/7, 7, -0.2, -1/6?
7
Which is the second smallest value? (a) 3 (b) -2/223 (c) -0.5
b
Which is the fourth smallest value? (a) -1 (b) -5/4 (c) -1/3 (d) 0.4
d
What is the second smallest value in -1/4, -5, -2/31, 4?
-1/4
Which is the biggest value? (a) 28 (b) 0.4 (c) -1/10
a
What is the biggest value in 9, 1, 8?
9
Which is the fourth smallest value? (a) -2/53 (b) -3 (c) -1 (d) -0.4
a
Which is the fifth biggest value? (a) 1/3 (b) 4/5 (c) -3 (d) -2 (e) -205
e
Which is the second biggest value? (a) -1 (b) 9 (c) -0.43
c
Which is the third smallest value? (a) 0.08 (b) -2 (c) 5
c
What is the biggest value in 4, 0.4, 0, -8?
4
Which is the biggest value? (a) -0.08 (b) 2/13 (c) 0.26
c
Which is the fourth biggest value? (a) -2/7 (b) 1/222 (c) -1 (d) 2/9
c
What is the third biggest value in -1, -8, 2?
-8
What is the smallest value in -24.4, -4, -2/7?
-24.4
What is the third biggest value in 0, -33, 2, 6/5?
0
Which is the fourth biggest value? (a) 1 (b) -5 (c) 5 (d) 0
b
Which is the third biggest value? (a) 1 (b) -4.44 (c) -1
b
What is the second smallest value in -3, -0.5, 0.3, 10/19?
-0.5
What is the third smallest value in -2/3, 5, 1134, 1/2?
5
Which is the second smallest value? (a) -5 (b) -0.2 (c) -7.6 (d) -0.4 (e) -4
a
Which is the third biggest value? (a) -0.1 (b) 2.1 (c) -1
c
Which is the second smallest value? (a) -0.3 (b) 4 (c) -0.4 (d) 7/13
a
What is the second biggest value in 4/3, 0.3, 4, 5, -1/2?
4
What is the third smallest value in -2, 13, 217, -1?
13
What is the second smallest value in -0.07, 2, 0.5?
0.5
Which is the smallest value? (a) -0.5 (b) -4/9 (c) -3/20 (d) 0.7
a
What is the third smallest value in -11, 1, 1/2, 5?
1
Which is the smallest value? (a) 0.2 (b) -0.1 (c) 2/143
b
What is the biggest value in -2, 25, -3, 0.5?
25
Which is the biggest value? (a) 5.1 (b) -5 (c) 0.5
a
Which is the third biggest value? (a) 4/7 (b) -0.3 (c) 4
b
Which is the smallest value? (a) 0.1 (b) 0 (c) 42.8 (d) 5 (e) -3
e
What is the biggest value in -3/5, -0.11, -8, 5, -2/3?
5
Which is the second smallest value? (a) 5 (b) 4/5 (c) -1 (d) 17
b
Which is the third smallest value? (a) 88 (b) -4 (c) 2 (d) 11
d
Which is the third biggest value? (a) 0 (b) -1 (c) 4914
b
Which is the second smallest value? (a) -3 (b) -0.2 (c) -4
a
Which is the second biggest value? (a) 2/9 (b) 3 (c) 1/5 (d) -17/6
a
What is the second smallest value in -10/17, 3, -2/189?
-2/189
What is the third biggest value in 28, 16, -0.4?
-0.4
Which is the fourth smallest value? (a) -0.05 (b) 3 (c) -4/7 (d) -7/5 (e) 5
b
Which is the biggest value? (a) -0.7 (b) -4 (c) -1 (d) -12
a
Which is the second smallest value? (a) -0.2 (b) -3/7 (c) 4 (d) 1/8
a
Which is the second smallest value? (a) 3 (b) -5 (c) 30/13
c
What is the third smallest value in 0, 0.4, 3, -8?
0.4
What is the smallest value in 16, -7, 5, 0.2?
-7
What is the third smallest value in -2/9, 0.3, -482/7?
0.3
What is the third biggest value in -67, -3, -5, 1/3?
-5
What is the smallest value in 1/4, -3, -7, -112?
-112
Which is the fourth smallest value? (a) -5 (b) 1/6 (c) 11 (d) 2/21 (e) 0.1
b
What is the fourth biggest value in 1/4, 5, -5, 8/3?
-5
What is the third smallest value in -585, 0.2, 1/3?
1/3
Which is the third biggest value? (a) 3/2 (b) 65 (c) -5 (d) 2/17
d
What is the fifth smallest value in -3, 243, 0.4, -3/2, 2/3?
243
What is the third smallest value in 4/9, 0.2, -2/13, 6?
4/9
What is the third smallest value in -17, -2, 14/25, 5/6?
14/25
What is the biggest value in -0.2, -70, -1?
-0.2
Which is the fifth biggest value? (a) -17 (b) 3 (c) 0.5 (d) 5 (e) 0
a
What is the third biggest value in -14/23, -0.4, -0.1?
-14/23
What is the third smallest value in -4, 2/7, 122, -0.4, -3.2?
-0.4
What is the third smallest value in -4, 0.06, -24/7?
0.06
What is the third biggest value in 0.9, -1/10, 2, 0.5?
0.5
Which is the biggest value? (a) 0.01 (b) 0.3 (c) -1/3 (d) 0.1
b
What is the biggest value in 2/3, 4/9, 0.4?
2/3
What is the smallest value in -2/5, -4, 14, 1/5?
-4
Which is the biggest value? (a) -1/3 (b) -2/537 (c) -0.1 (d) 0.2
d
Which is the fourth smallest value? (a) 0 (b) 16 (c) 2 (d) -1 (e) -4/3
c
What is the smallest value in 0.1, 6, -0.2, 3?
-0.2
What is the biggest value in 2.19, 2/17, -4?
2.19
What is the third biggest value in -2/15, 2/25, 2, -0.01?
-0.01
What is the second smallest value in -0.1, 1562, 4?
4
Which is the smallest value? (a) 0.2 (b) -2 (c) 2/21 (d) 3/5 (e) 0.03
b
Which is the second biggest value? (a) 3 (b) 0.3 (c) 0 (d) -1/65
b
Which is the third smallest value? (a) -3 (b) -5 (c) 5 (d) 0.082 (e) 3
d
What is the third biggest value in 9, -1/7, -0.13, -1?
-1/7
Which is the third smallest value? (a) 8 (b) -0.04 (c) -3/7 (d) 1/3
d
What is the second biggest value in 0.4, 1/2, -2, -29, -0.4?
0.4
What is the fourth biggest value in 3, 0.8, 2, -0.05, -1/6?
-0.05
Which is the third smallest value? (a) -3 (b) 4 (c) -3/4 (d) -0.1
d
Which is the third smallest value? (a) 0.4 (b) 0.1 (c) -3 (d) 2/3
a
What is the second smallest value in 2/7, -34, -0.131?
-0.131
What is the biggest value in -15, -0.5, 0.3?
0.3
Which is the smallest value? (a) 2 (b) 3/2 (c) 2.1
b
What is the third smallest value in -1/9, 0.1, 0.7, -2/13, -0.4?
-1/9
What is the fifth smallest value in -3/5, -6, 3/5, 5, -2?
5
Which is the biggest value? (a) -1/5 (b) 10/3 (c) 34
c
Which is the biggest value? (a) 1 (b) 11 (c) 2/73 (d) 0.5
b
What is the biggest value in -3/40, -4/3, -1/5?
-3/40
What is the second smallest value in -8, -159, 5?
-8
What is the fifth smallest value in 5, -0.4, -5, 35, -4?
35
Which is the biggest value? (a) 10 (b) -1376 (c) 2
a
What is the second biggest value in 2631, 2, -4?
2
Which is the fourth biggest value? (a) -1/38 (b) -16 (c) -4 (d) -5 (e) -3
d
What is the second biggest value in -0.3, 6, 14?
6
Which is the third smallest value? (a) -0.1 (b) 0.2 (c) 0 (d) 1040
b
What is the second biggest value in 1/26, 0, 0.4?
1/26
Which is the second smallest value? (a) -3 (b) 10/123 (c) -1/3 (d) 1/4
c
What is the third biggest value in -9, 1, -38?
-38
Which is the fourth biggest value? (a) -5 (b) -0.1 (c) 0.01 (d) 3
a
Which is the third biggest value? (a) -40 (b) 4 (c) 2/13 (d) -1 (e) 2/17
e
Which is the fourth smallest value? (a) 12 (b) 2/3 (c) -2 (d) 4
a
Which is the fourth smallest value? (a) 1 (b) -0.01 (c) -3/5 (d) 4/7
a
What is the biggest value in 2, -2690, -2/9?
2
What is the third smallest value in -5, 0.4, -0.3, 14?
0.4
What is the fourth biggest value in -24, 1, -3, -5?
-24
Which is the fourth smallest value? (a) -3/2 (b) -2/5 (c) 0.1 (d) -5 (e) -0.1
e
What is the second biggest value in -0.0618, 0.03, 2/9?
0.03
What is the fourth smallest value in 5, -1/6, 0.4, 0.29, 0?
0.4
Which is the third smallest value? (a) -2 (b) 0.5 (c) 1 (d) 2 (e) -1/97
b
Which is the third biggest value? (a) -3/4 (b) -1/5 (c) 0.08 (d) 0.1
b
What is the smallest value in 2, 3, -4, -12.7, -0.2?
-12.7
Which is the third smallest value? (a) 2/15 (b) 1 (c) -0.36 (d) 0.3
d
Which is the biggest value? (a) 3/2 (b) 8/9 (c) 4 (d) 2
c
What is the second smallest value in 13, 1, -1/6?
1
Which is the smallest value? (a) 5 (b) 0.08 (c) 88
b
Which is the smallest value? (a) -0.1061 (b) -3 (c) 1/3
b
Which is the biggest value? (a) 0.2 (b) -1/7 (c) -2 (d) 3 (e) 250
e
What is the third biggest value in 0.5, -0.5, -3?
-3
What is the third smallest value in 9/7, -0.1, 1, 0?
1
What is the fourth smallest value in -10, 1/2, 2, -0.15?
2
What is the fifth smallest value in -9, -4, 0.08, -3/7, 0?
0.08
Which is the third biggest value? (a) -0.4 (b) -1/7 (c) -572 (d) 0.3
a
What is the third smallest value in 0.05, 1, -0.01?
1
What is the smallest value in 2/9, -0.03, 11?
-0.03
What is the smallest value in -1.1, -2, 6, 3?
-2
What is the biggest value in -0.2, 8/5, 63?
63
What is the third smallest value in 1/7, 2/9, 2/15?
2/9
Which is the biggest value? (a) -14 (b) -9.8 (c) -5
c
Which is the
|
{
"pile_set_name": "DM Mathematics"
}
|
= -r - 12. Let b be (30/r)/((-2)/d). Solve -b = -0*o - 3*o for o.
1
Suppose 3*y - y + 43 = p, -3*p - 63 = 2*y. Let o be (y/(-10))/((-9)/(-30)). Solve o = 4*l - 0 for l.
2
Let y(r) = -r**2 - 7*r. Let v be y(-6). Let x be -2 + 2 + 1 + -1. Suppose x = 4*c - 5*c. Solve -v*k + k - 20 = c for k.
-4
Let s be (2/(-3))/(12/(-90)). Solve 5*r + s + 5 = 0 for r.
-2
Suppose 5*b + 2*g = -2, 2*g + 3 = -4*b - g. Suppose -x + 53 + 2 = -2*c, 208 = 4*x - 2*c. Let k = -26 + x. Solve -5*d = -b*d - k for d.
5
Let i(j) = 4*j**2 + 1. Let k(h) = -3*h**2 - h. Let x(c) = -2*i(c) - 3*k(c). Let s be x(-4). Solve s*v - 2 = v for v.
2
Let x(h) = h**3 + 3*h**2 + h - 2. Let r be x(-2). Suppose -2*n - 5*z - 7 = r, 0 = -2*n - 0*z - 4*z - 4. Let t = -10 + 17. Solve -12 = n*w - t*w for w.
4
Suppose 2*s + 33 = 5*i, 2*i - 3*s - 7 = 3*i. Solve 6*g = 5*g + i for g.
5
Suppose 0 = -y - 0*y. Let z be (0 + y)/(-6 - -8). Solve z = 5*f - f - 12 for f.
3
Let h = -8 + 10. Suppose h*f + 5 = -y - 2*y, -4*f + 4*y = -40. Suppose -4*d + 5*t + 10 = 0, -4*d + f*t + 18 = 4*t. Solve -d*o + 3 = 13 for o.
-2
Suppose y + 5*t = 29, -4*t = 3*y - t - 27. Solve 4*q = -y - 12 for q.
-4
Let r = 57 - 53. Solve -14 = -r*g - 10 for g.
1
Let a(d) = -d - 6. Let h be 58/(-7) - (-4)/14. Let m be a(h). Suppose -4*q - 3*o = -0*q, -5*q = 5*o. Solve q*c + 4 = -m*c for c.
-2
Let d(u) be the third derivative of u**5/60 + 5*u**4/24 + u**3 + u**2. Let h be d(-5). Solve -h*j + 2*j = 4 for j.
-1
Let b(u) = -u**3 - 8*u**2 + 2*u + 7. Let y be b(-8). Let c be (-16)/(-3) + (-6)/y. Let l = 10 - c. Solve 0*s = l*s + 20 for s.
-5
Let p(c) = -c - 6. Suppose -4*q - 18 = -5*j, -4*q + 7*q + 3*j + 27 = 0. Let o be p(q). Suppose 3*w = -3, -2*u - w = -2*w - 7. Solve 0 = u*b + 2 + o for b.
-1
Suppose 3*i - 2*l = 1, -l + 2 - 4 = -3*i. Let j be (-1)/(i/(-5)) + -2. Let v be -1*(0 + j/(-3)). Solve -b = 2 - v for b.
-1
Suppose -3*d - 2 = 1, -5*s - 5*d = 20. Let v = 6 + s. Solve 2*f + 1 - v = 0 for f.
1
Suppose -4*j + p = -113, 5*j + 45 = -p + 184. Suppose 3*h = -12, 4*z + 0*z - 5*h - j = 0. Suppose k - u = -z, 5*u - 4 = 6. Solve k*a = -3*a - 3 for a.
-1
Let z = 41 + -35. Solve -4 + z = -k for k.
-2
Let b(i) = -i**2 - 5*i - 3. Let m = 6 + -9. Let w be b(m). Solve 2*o - 4 = w*o for o.
-4
Let b(u) = -u**3 + 9*u**2 + 8. Let j be b(9). Let c be (-3 + -2)*1/(-1). Solve -k + c*k = j for k.
2
Suppose -11 - 9 = -4*g + 2*y, -g - 4 = -5*y. Suppose g*r + 1 = 5*r. Let n = r - -4. Solve -2 = -p + n for p.
5
Let u(d) = -d**2 - 9*d + 3. Let l be u(-7). Suppose 6 = t - 3*t + 2*y, 0 = -t - 3*y + l. Solve -t*j = -3*j - 5 for j.
-5
Let n be (-1 + 1)/(16/8). Solve -4*p + 0*p + 20 = n for p.
5
Suppose 0 = -4*t - 12, 0*s + 3*t = -2*s - 23. Let h = -6 - s. Solve -2*q = -h + 7 for q.
-3
Suppose u - 21 = -3*n - 1, -4*u + 60 = 2*n. Suppose 0 = -y - y + u. Let c be 4/14 + 5/y. Solve -c = -4*t - 13 for t.
-3
Suppose -4*d + 5*f - 6*f = -9, 0 = -5*f + 5. Solve d*g = -g + 9 for g.
3
Let z(r) = r**3 - 8*r**2 + r - 8. Let b be z(8). Solve b = -3*w - w - 4 for w.
-1
Suppose -3 = -3*o - 4*j, -6*o = -o - 3*j + 24. Let r = o + 6. Let q be 3*(-1 + (-5)/(-3)). Solve s - r*s = q for s.
-1
Let h(x) be the first derivative of x**4/4 - 5*x**3/3 + x**2/2 + 2. Let r be h(5). Solve r - 15 = -5*u for u.
2
Let o(s) = -3*s. Let k be o(-5). Let g = k - 6. Solve 2*t + g = 1 for t.
-4
Let h(r) be the third derivative of -r**6/120 - r**5/12 + r**4/4 + 7*r**3/6 + r**2. Let l be h(-6). Let n be 3 - (-7 - (-2 - 4)). Solve l + 9 = n*b for b.
4
Let v(c) = c**3 + 5*c**2 - 3*c - 7. Let o be v(-5). Solve 2*z - o = -2*z for z.
2
Suppose -j + 18 = 2*j. Let b(m) be the first derivative of -m**4/4 + 2*m**3 + m**2/2 - 6*m - 9. Let h be b(j). Solve i + h*i = -1 for i.
-1
Let d(v) be the second derivative of -v**3/6 - v**2 - 10*v. Let b be d(-3). Suppose -p = -5*l + 1, 5*l = 4*p + 6*l - 17. Solve b = p*j + 5 for j.
-1
Suppose 3*r - 11 + 1 = -d, 5*r = 4*d - 6. Solve r*a + a = -3 for a.
-1
Let z be 1/(2/24)*(-6)/(-18). Solve z = 3*a - 5 for a.
3
Let j be -4*1*(-5)/4. Solve 0 = -4*x + 1 - j for x.
-1
Let y = 13 + 2. Solve y = 2*z - 5*z for z.
-5
Suppose 8*v = 17*v - 36. Solve 4 = -2*t + v*t for t.
2
Let g be (5 + -5)*(1 + 0). Suppose g = -4*p + 4 + 12. Solve 0 = -d + 2*d - p for d.
4
Let w(q) = q**3 + 20*q**2 + 18*q - 19. Let k be w(-19). Solve -2 = -z - k for z.
2
Let k = 6 - 25. Let v be 22/77 - k/7. Solve v*m + m + 12 = 0 for m.
-3
Let v be 2/(-1) - 1*-13. Suppose 4*z - v - 21 = 0. Let t be 0/(-2) + 1*z. Solve -y - 3*y - t = 0 for y.
-2
Let w(y) = -y**2 - 8*y - 7. Let k be w(-6). Solve k*m + 5 = 4*m for m.
-5
Let t be 3 - 2/(4 - 2). Suppose t*x - 2 = x. Solve 5*f - x = 4*f for f.
2
Let c be (-8)/14*217/(-62). Solve -4*d + c = -2*d for d.
1
Suppose -5*z + 520 = 5*m, z = -0*z. Suppose -2*d + m = 2*d. Suppose -x = 2*x - q - d, -5 = -5*q. Solve -2*j - j = -x for j.
3
Let u be 54/45*(-5)/(-2). Solve u*b + 0 + 6 = 0 for b.
-2
Suppose c + 2 - 2 = 0. Solve -i + 2*i - 2 = c for i.
2
Let s = -113 - -116. Solve 3 + 6 = -s*h for h.
-3
Let c be 0 - (-1 + 1) - (-24)/8. Solve -6 = c*w + 3 for w.
-3
Let y be -15*(-2 + 12/9). Let k be ((-8)/y)/((-3)/15). Suppose -2*r + 3*r = -2*j + 6, 3*r = -k*j + 10. Solve -8 = -j*b + 8 for b.
4
Suppose h = 3*h - 4. Let d be h/((-6)/(-3))*0. Suppose -w + 2 = -d. Solve -w*c = c + 6 for c.
-2
Let y(o) = -4*o - 8. Let s(q) = 3*q + 7. Let j(t) = -3*s(t) - 2*y(t). Let i be j(-7). Solve i = 2*x + 12 for x.
-5
Let p(b) = b**2 - 5*b + 8. Let x be p(4). Solve 18 = -x*m - 2 for m.
-5
Let q(f) = -f**3 - 6*f**2 + 8*f + 10. Let c be q(-7). Suppose -5*x = c*r - 51, -21 = -5*r - 5*x + 54. Solve -5*g + r = -2*g for g.
4
Suppose -3 - 7 = -5*s. Suppose g - 2*h - 35 = 4*g, -4*g - 40 = h. Let c = g + 11. Solve -s*t + 8 = c*t for t.
2
Let b be 4/(5 + (-2 - 1)). Suppose -13 = -b*s - 3. Solve -m - 8 = -s*m for m.
2
Let o(b) = -b**3 - 12*b**2 + b + 15. Let p be o(-12). Suppose -30 = -p*s + 6. Solve -s = l - 5*l for l.
3
Suppose -65 = -2*f - 3*f. Suppose c = f + 3. Solve 5*h + c = -9 for h.
-5
Suppose -2*u + 9*u = 14. Solve -u*l = 2 - 12 for l.
5
Let z(a) = 2*a + 11. Let g(n) = -5*n - 33. Let v(r) = 4*g(r) + 11*z(r). Let q be v(8). Suppose -8 = 3*b - q*b. Solve 8 = b*t - 8 for t.
4
Suppose c = -3*c + 20. Suppose 0 = c*q - 4 - 11. Let r(y) = -y + 6. Let b be r(6). Solve b = i + q - 7 for i.
4
Let w(r) = r**2 - 11*r + 10. Let y be w(10). Suppose 0 = -2*v - y*v + 8. Let b be ((v - 2) + 3)/1. Solve b - 1 = -x for x.
-4
Let p(x) = x**3 + x**2 - x + 5. Let v be p(0). Solve -3*q + 2 - v = 0 for q.
-1
Suppose 3*y - 7*y + 12 = 0. Solve y + 1 = 4*n for n.
1
Suppose 0 = -0*s - 4*s + x + 3, -2*x = -10. Solve 2 = -2*r - s for r.
-2
Suppose -11 = -3*t + 1. Solve -t*y = -y - 9 for y.
3
Suppose -s = 3*u - 24, 0 = -3*u - 2*u - 3*s + 44. Let w = -5 + u. Solve -4 = -w*a + 2 for a.
3
Suppose 4*k = 20 + 20. Suppose 2*d = -0*d + k. Suppose g + d = p, -3 = 2*g - g. Solve -2*n + 0*n = p for n.
-1
Let q(i) = 8*i - 2. Let m be q(-2). Let w = -18 - m. Solve w = 4*t - t for t.
0
Suppose 0 = 7*n - 3*n - 72. Suppose 5*k + 4*q = n, 3*k + 5*q - 5 = 11. Solve 6*c + k = 7*c for c.
2
Suppose 2 = b, -3*u - 3*b + 21 = -0*u. Suppose 5*d = -4*l + 16, 10*d = u*d + 2*l - 8. Solve d = q - 0 + 2 for q.
-2
Suppose -3*o - 5*q = -26, -3*o + 23 = o - 5*q. Solve -2*a - 1 - o = 0 for a.
-4
Suppose -4*p + 4*g = 0, 4*p = 3*p - g - 6. Let h be (-8 + 3)*(p - -2). Solve -h + 2 = -t for t.
3
Let d be (-6)/(-14) + 1110/105. Let u = 34 - d. Solve 4*x = 3 - u for x.
-5
Suppose -4*z = -z. Solve n + z = 4 for n.
4
Let u(q) be the second derivative of q**5/20 - q**4 + 11*q**3/6 + q**2 - q. Let j be u(11). Suppose -3*c = -j - 16. Solve 0 = -5*z + 21 - c for z.
3
Let k = 1 + 5. Let b be 2 - (-2)/(k/9). Solve 4*y - 2 = b*y for y.
-2
Let y = -8 + 9. Suppose 0 = -d + y - 0. Solve d = -4*w + 5 for w.
1
Let d(p) = -4*p**2 - 2 - p + 3 + 2*p**2 + 3*p**3. Let t be d(2). Solve t = -2*j + 5*j for j.
5
Let p(k) = 3*k**2 + k. Let h = -7 - -11. Suppose 4*t - 19 = -3*i, 2*i + 3*t = h + 10. Let n be p(i). Solve 10 - n = 2*g for g.
3
Suppose 3 = 4*n - 5. Suppose 0 = m + 3*m - 24. Suppose -10*l + 12 = -m*l. Solve l*b = n*b for b.
0
Suppose -8 = c - 3*j, -3*c - 3*j = 79 - 7. Let g = c - -20. Solve -m - m = g for m.
0
Suppose 0 = 2*n - 12. Suppose f - 4*u = n*f - 32, -4*f + 40 = -4*u. Solve f =
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate g(j(i)).
5367*i
Let g(j) = 7*j - 24. Let u(w) = -41*w. Give u(g(y)).
-287*y + 984
Let z(t) = 19*t - 1. Let u(i) = 3*i + 2. Determine u(z(g)).
57*g - 1
Let y(a) = 3*a. Suppose 15 = -5*d - 5*h, d - 7 = 5*d + 3*h. Let s(l) = 2*l + 54*l**2 - d*l - 57*l**2. Determine y(s(n)).
-9*n**2
Let s(u) = 9*u. Let c(l) = 35*l**2 - 25*l - 25. Let y(w) = 3*w**2 - 2*w - 2. Let v(z) = -4*c(z) + 50*y(z). Give v(s(a)).
810*a**2
Let i(q) = -2*q. Let x(o) be the first derivative of 4*o**3/3 - 10. What is i(x(v))?
-8*v**2
Let j(q) be the first derivative of 7*q**3 + 13. Let p(y) = 3*y. Determine p(j(k)).
63*k**2
Let p(u) = 0*u**2 + 4*u**2 - 5*u**2. Let w(t) be the first derivative of -t**2 - 2. Calculate p(w(d)).
-4*d**2
Let z(p) = -4*p**2 + 2*p + 3*p**2 - 1 + 4*p + 7. Let q(b) = -2*b**2 + 13*b + 13. Let j(w) = 6*q(w) - 13*z(w). Let v(t) = 2*t**2. What is j(v(f))?
4*f**4
Let i = -3 - -5. Let y(r) = -i + 2 + 15*r + r. Let t(f) = -2*f**2. What is y(t(a))?
-32*a**2
Let z(g) be the second derivative of g**4/6 + g. Let f(o) be the first derivative of -2*o**2 + 30. Calculate f(z(k)).
-8*k**2
Let l(b) = -b**2. Let i(z) be the third derivative of z**3/6 + z**2. Let q(v) = 1 + 1 - v + 4. Let t(x) = 6*i(x) - q(x). What is t(l(d))?
-d**2
Let x(l) = -13*l**2 - 1. Let o(t) = -t**2 + 29. What is o(x(w))?
-169*w**4 - 26*w**2 + 28
Let m(b) = -2*b**2. Let g(y) = -2*y**2 + 6*y - 6. Let x(z) = 6*z + 16. Let h(t) = -t - 3. Let r(i) = 11*h(i) + 2*x(i). Let o(u) = g(u) - 6*r(u). Give m(o(c)).
-8*c**4
Let y(g) = -g. Let b(n) = 4*n - 414. Calculate b(y(f)).
-4*f - 414
Let b(n) = 10*n**2 - 31. Let z(m) = 7*m**2 - 21. Let u(t) = -5*b(t) + 7*z(t). Let l(f) be the first derivative of u(f). Let g(c) = 2*c**2. Determine l(g(x)).
-4*x**2
Let a(x) = 4*x. Let u(w) = -1899*w + 2. Calculate u(a(q)).
-7596*q + 2
Let t(j) = 7*j**2 - 3*j + 3. Let d(n) = -14*n**2 + 7*n - 7. Let c(r) = 3*d(r) + 7*t(r). Let p(q) = q**2. Give p(c(m)).
49*m**4
Let v(b) be the first derivative of 2*b**3/3 - 5. Let d(u) = -11*u**2. Give d(v(l)).
-44*l**4
Let f(s) = 1. Let q(g) = 17*g + 4. Let r(a) = 4*f(a) - q(a). Let j(k) = k. Calculate j(r(o)).
-17*o
Let d(q) be the third derivative of -q**4/8 - 5*q**2. Let t(w) = -2*w**2 + 2*w - 2*w. Give t(d(z)).
-18*z**2
Let h(b) = -b**2. Let c(g) be the first derivative of g**3 + 18. Determine c(h(k)).
3*k**4
Let i(c) = 3*c**2. Let w(y) be the first derivative of -3*y**2/2 - 2. Let x(g) = 3*g. Let m(d) = 2*w(d) + 3*x(d). Determine m(i(f)).
9*f**2
Suppose -2 = -2*q - 0*q. Let w be (-125)/(-15) - q/3. Let j(a) = w*a - 8*a + 2*a**2. Let i(p) = 5*p**2. Give j(i(z)).
50*z**4
Let j(r) = 2*r - 5. Let m(x) = 3*x - 7. Let c(f) = 7*j(f) - 5*m(f). Let a(g) be the first derivative of 3 + 0*g - 3/2*g**2. Calculate a(c(q)).
3*q
Let b(l) = l. Let w be (-40)/(-144) - (-5)/(45/2). Let r(y) be the first derivative of w*y**2 + 0*y + 1. Calculate b(r(o)).
o
Let t(p) = -16*p**2 + 3. Let h(d) = -15*d**2 + 4. Let k(z) = 3*h(z) - 4*t(z). Let f(b) = b**2. Give k(f(w)).
19*w**4
Let w(b) = 413*b - 3. Let k(j) = 2*j. What is k(w(f))?
826*f - 6
Let c(q) = -q - 1 + 1 + 41*q. Let d(f) = 2*f. Determine d(c(y)).
80*y
Suppose -2 = -2*f, 3*f + 2*f = 5*a + 5. Let o(k) be the third derivative of a + 0*k**3 + 0*k**4 + 0*k + 1/60*k**5 - k**2. Let r(q) = -q**2. What is r(o(u))?
-u**4
Let q(o) be the third derivative of -o**4/8 - 11*o**2. Let f(i) = -4*i**2. Give f(q(h)).
-36*h**2
Let g(y) = -14*y. Let n(q) = 3*q**2 + 7. Let r(m) = m**2 + 2. Let o(u) = -2*n(u) + 7*r(u). Determine o(g(t)).
196*t**2
Let t(f) be the second derivative of 5*f**3/6 - 39*f - 1. Let d(j) = 25*j. Give d(t(z)).
125*z
Let c(d) = -11*d**2 + 5*d. Let q(v) = 5*v**2 - 2*v. Let z(f) = 2*c(f) + 5*q(f). Let w(i) = -i**2. Determine w(z(h)).
-9*h**4
Suppose -d = -0*d - 2. Suppose -d*n + 2*s + 19 = 5*s, 0 = 2*n + s - 9. Let q(w) = 2*w**n + 12*w - 12*w. Let z(i) = -2*i. Determine z(q(r)).
-4*r**2
Let n(x) = 23*x + 10. Let y(c) = 9*c. Give y(n(k)).
207*k + 90
Let o(z) = -3*z. Let d(x) = -x**2 - 2*x + 3. Let p be d(-3). Let c = 2 + p. Let v(a) = -4 - a**c + 4. Give v(o(n)).
-9*n**2
Let a(x) be the first derivative of 3*x**2/2 + 5. Let t(p) = -p**2 - 6*p - 3. Let o be t(-5). Let l(i) = -6*i + 6*i - o*i**2. What is a(l(g))?
-6*g**2
Let d(m) = -2*m**2. Let t(w) be the first derivative of w**2/2 + 16. What is t(d(u))?
-2*u**2
Let l(b) = -b**2 - 3*b**2 + 3*b**2. Let r(q) = -q**3 - q**2 + 3. Let c be r(0). Let x(n) = -n + n + c*n - 2*n. Determine l(x(d)).
-d**2
Let o be (3/3)/1*0*-1. Let k(c) be the second derivative of -2*c + 0 + o*c**2 - 1/3*c**3. Let t(d) = -3*d. Determine k(t(q)).
6*q
Let p(j) = -2*j. Let v = 3 - 3. Let y be (2/6)/(3/36). Let q(c) = 2*c - y*c + v*c. Give p(q(o)).
4*o
Let g(q) = q**2. Let r be -1*(-3)/((-6)/(-4)). Let c(p) = -3 - r*p + 1 + 2. Determine c(g(b)).
-2*b**2
Let f(g) = -3*g**2 - 42*g - 15. Let u(v) = v. Calculate u(f(b)).
-3*b**2 - 42*b - 15
Let h(c) = -5*c - 11. Let d(f) = 7*f. Let m(t) = 13*t. Let s(k) = 11*d(k) - 6*m(k). Calculate s(h(u)).
5*u + 11
Let i(a) = 97*a**2. Let j(q) = -5*q**2. What is j(i(z))?
-47045*z**4
Let i(s) be the third derivative of -s**4/24 - s**2. Suppose -3*c + c = -3*u - 7, 5*u = 2*c - 9. Let v(q) = q**2 - 4*q**c + 2*q**2. Calculate v(i(j)).
-j**2
Suppose -x = 4*x - 10. Let a(n) = 2*n**2 - n**x + n**2. Let v(q) = 3 - 4*q - 3. Calculate v(a(m)).
-8*m**2
Let m(f) = -5*f + 160. Let b(r) = -r. What is b(m(d))?
5*d - 160
Let b(i) = 2*i**2. Let c(t) = -372*t**2 + 2*t - 6. Calculate c(b(j)).
-1488*j**4 + 4*j**2 - 6
Let i(x) = -x**2. Suppose -2*b + 6 = -2. Let m(y) = b*y**2 + 0*y**2 - 2*y**2 - y**2. What is m(i(t))?
t**4
Let r(w) = w**2. Let n(d) = -70*d**2. What is r(n(g))?
4900*g**4
Let r(z) = z. Suppose k - 2*v - 8 = -4*v, -2*k + 4*v = 8. Let a(n) = 0*n**2 + 6*n**k - 9*n**2. What is a(r(m))?
-3*m**2
Let n(t) = -7*t**2 - 5. Let s(r) = -189*r. Give s(n(f)).
1323*f**2 + 945
Let o(g) = -9129*g. Let l(j) = -2*j. Determine o(l(d)).
18258*d
Let s(p) = 5*p**2. Suppose -2*v - 2*v = -2*o + 14, -o + 5*v = -13. Let j(t) = 2 + o*t**2 - 4 + 2. Give j(s(x)).
75*x**4
Let v(a) be the second derivative of -a**6/720 - 5*a**4/12 + 3*a. Let z(r) be the third derivative of v(r). Let q(l) = -2*l**2. Determine z(q(n)).
2*n**2
Let v(n) = -3*n - 6. Let l(t) = 36*t**2. Calculate v(l(r)).
-108*r**2 - 6
Let b(l) = -3*l**2. Suppose 0*t - 2*t = -4*d + 2, 2*t = 3*d + 1. Let p = t + -5. Let w(n) = p + 0 + n. Determine w(b(z)).
-3*z**2
Let x(n) = -200 + 200 + 2*n**2. Let a(j) = 2*j**2. What is a(x(z))?
8*z**4
Let b(q) = -4*q**2 + 11*q. Let a(x) = -2*x. Calculate a(b(s)).
8*s**2 - 22*s
Let a(r) be the second derivative of -17*r**3/2 + 27*r. Let g(l) = -l. Give g(a(m)).
51*m
Let x(z) = z. Let o(b) = -500*b**2 + 2. Calculate x(o(q)).
-500*q**2 + 2
Let g(c) = 2*c**2. Let k(q) = 26*q + 2. Give g(k(b)).
1352*b**2 + 208*b + 8
Let b(d) = 5*d. Let r(h) = -26*h - 2. What is r(b(o))?
-130*o - 2
Let v(w) = -370*w**2. Let u(i) = -4*i**2. Give v(u(m)).
-5920*m**4
Let z(k) = 3*k**2. Suppose 0 = 5*a + 5. Let i(o) = -2*o**3 + o**2 + o. Let x be i(a). Let d(p) = -p**2 + 0*p**2 + 3*p**x. Determine d(z(g)).
18*g**4
Let j(w) be the first derivative of 3*w**2/2 + 42. Let a(b) = -21*b. Calculate j(a(s)).
-63*s
Let r(z) = -2*z**2. Let o(f) be the second derivative of 0 + 0*f**3 + 1/2*f**2 - 1/24*f**4 - f. Let j(w) be the first derivative of o(w). What is r(j(u))?
-2*u**2
Let f(j) = -j**2. Let d(s) be the first derivative of 1/3*s**3 + 0*s**2 + 0*s + 3. Give d(f(w)).
w**4
Let t(v) = -1. Let c(z) = 7 - 2*z + z - 3. Let b(k) = c(k) + 4*t(k). Let x(g) = 4*g**2 - g**2 - 4*g**2. Give x(b(h)).
-h**2
Let o(j) = 91 - 91 + j. Let m(p) = 17*p**2. Determine m(o(x)).
17*x**2
Let x(q) = 9*q. Let t(w) be the first derivative of -w**3/3 - 29. Calculate t(x(v)).
-81*v**2
Let j(p) = p. Let q(c) = -394*c + 1. Determine j(q(y)).
-394*y + 1
Let r(u) = -2*u. Let o(b) = -b - b - 25*b**2 + 14*b - 5*b**2. Let t(n) = -n**2 + n. Let s(l) = -o(l) + 12*t(l). What is r(s(d))?
-36*d**2
Let v(r) = 20174*r. Let g(f) = -2*f**2. Determine g(v(o)).
-813980552*o**2
Let u(l) be the second derivative of l**6/90 + l**3/6 + 3*l. Let q(c) be the second derivative of u(c). Let p(b) = -b. Determine q(p(t)).
4*t**2
Let o(v) = -v + 10. Let y(f) = 5*f. Calculate y(o(i)).
-5*i + 50
Let h(x) = -x. Let q(c) be the thi
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{
"pile_set_name": "DM Mathematics"
}
|
is greater: c or d?
d
Suppose 0 = 3*f - 5*o - 7, 4*f - 7 = 5*o - 1. Do f and -14/9 have the same value?
False
Let d be (-3 - -2) + 78/74. Is 0 equal to d?
False
Let r(i) = -2*i + 6. Let l be r(9). Which is greater: l or -14?
l
Let s(r) = r**3 + 2*r**2 + r - 1. Let u = 5 + -7. Let b be s(u). Is b != -2?
True
Let z be (-5 - -9)*1/(-122). Is z <= 1?
True
Let h be (-2)/(-6) + (-12)/9. Let g = -1 - h. Let m(u) = -u**3 + 8*u**2 - 8*u + 5. Let i be m(7). Is i < g?
True
Let k = -535.1 - -535. Let m = -1 + 0.97. Which is bigger: k or m?
m
Let c = 16 - 38. Let r = 20 + c. Is r at least -4/9?
False
Let d be 2/5*(-5)/(-1). Suppose d*a - a = -15. Do -16 and a have the same value?
False
Let a(o) = o - 3. Let f = 3 + 2. Let y be a(f). Let k be -2*((-30)/(-14) - y). Are k and -1 unequal?
True
Let h be (-43)/(-5) + 14/35. Suppose -w + 4*w - h = 0. Which is smaller: w or -2?
-2
Let g = 0.5 - -0.4. Let s = 0.1 + g. Let c = -185 + 1667/9. Which is smaller: s or c?
c
Let b(g) = 13*g**2 + g. Let p be b(-1). Suppose 5*i - i = p. Suppose -4*u + 28 = j + 4*j, 5*j + i*u = 26. Which is smaller: j or 5?
j
Let t be (4 + -7)/(3/(-4)). Suppose 0 = -t*s + s + 15. Are s and 1 nonequal?
True
Let r be 1/4 - 6/(-8). Which is bigger: -4/17 or r?
r
Suppose 0 = g - 2 - 0. Let i be 9*g/(-8) + 3. Is -1 less than or equal to i?
True
Let l(y) = y**2 - 7*y - 3. Let u be l(6). Let k(s) = s**3 - 6*s**2 + 2*s + 7. Let w be k(5). Is u bigger than w?
False
Let a(f) = -f**2 - 4*f - 3. Suppose 0 - 12 = 3*u. Let m be a(u). Suppose 2*k = 4*k + 4. Which is smaller: m or k?
m
Let g(w) = w**3 + 5*w**2 + 5*w + 2. Let v be g(-3). Let f be ((-2)/v)/(4/(-5)). Let n = -85/3 - -28. Which is smaller: f or n?
n
Let s be ((-6)/(-4) - 1)*-1. Suppose 0 = -2*y - 17 + 15. Which is bigger: s or y?
s
Let a be 12/(-8)*320/(-54). Let l = -542/63 + a. Which is greater: -0.2 or l?
l
Let h(q) = -2*q**2 - 3*q. Let p be h(-2). Are -16/7 and p non-equal?
True
Let k be -17*(-3 - -4) + 3. Is -13 less than or equal to k?
False
Let w be (-3)/(-9)*9*1. Suppose w*u - 3*k = 48, 3*u = 4*k - 7*k + 72. Let m be 3/u - (-2)/(-5). Which is greater: m or -1?
m
Let a = 10.43 + -10.6. Which is greater: -0.1 or a?
-0.1
Suppose 16 = b + 3*b. Suppose -1 = -o + b. Suppose -2*x - o = -s, -3*x - 3*s - 1 = -16. Which is greater: -2/17 or x?
x
Suppose 3*p = 7 - 22. Let r(h) = -h - 1. Let c be r(-4). Let i = p + c. Is -0.1 >= i?
True
Let g be (6/(-8))/(7/(-28)). Suppose -6*k = -g*k. Is 6/11 less than k?
False
Suppose 11 + 2 = 2*c + 3*v, 4*v - 18 = -2*c. Let a(k) = k**3 + 6*k**2 - 7*k - 2. Let i be a(-7). Which is smaller: i or c?
i
Let t be ((-9)/6)/((-6)/(-16)). Let i be (-8)/20 - (34/(-10) - -2). Is i < t?
False
Suppose 0 = 5*u + 4*r - 41, -2*u - 4 = -3*r - 2. Suppose -u*v = -v. Let x = 47 + -798/17. Which is smaller: x or v?
v
Let a = -3 - -5. Let l be (a - 0) + (-243)/12. Let f = 18 + l. Is -1 at least as big as f?
False
Suppose 2*l - 4*l + v = 3, 3*l = -2*v + 13. Let t = 3 - 4. Is l at most t?
False
Suppose -4 + 0 = -2*j. Let p(l) = -l + 8. Let g be p(8). Suppose 10 = 5*z - g. Is j >= z?
True
Suppose 0 = -2*d + 4*l + 4, 6*d + 5*l = 8*d - 9. Which is smaller: d or -10?
-10
Let u = -73 + 291/4. Which is smaller: 0.01 or u?
u
Let y(q) = q + 1. Let w(a) = a + 1. Let u(r) = -w(r) + 2*y(r). Let i be u(0). Let l(m) = m. Let j be l(i). Which is smaller: -0.2 or j?
-0.2
Let y be (30/63)/(-2) - -1. Let u = y - 10/7. Which is smaller: u or -2?
-2
Suppose 3*q - q = -8. Does q = 0?
False
Let l = -111/35 + 25/7. Which is smaller: 15 or l?
l
Let a = 12 - 14. Let f = -1 + -1. Let l = f - a. Are -1/3 and l non-equal?
True
Suppose -3*w + 5 + 5 = 5*x, 0 = -3*x - w + 10. Which is bigger: x or 9?
9
Suppose -26 = -5*p + 49. Let o be (-10)/p*(4 + -1). Is -2 greater than o?
False
Suppose o = -5*k - o - 30, 0 = 4*o. Let r be ((-4)/(-3))/((-4)/k). Suppose q + 9 = 5*u, 4*u - r*u = 4*q. Is u greater than or equal to 2?
True
Suppose 2*f + 35 = 7*f. Which is bigger: f or 6?
f
Let p = -1 + 1.1. Let c = -4 + 4.03. Which is bigger: p or c?
p
Suppose 30 = 2*m + 3*m. Suppose 5*u - m = 4*u. Is 5 >= u?
False
Suppose 7*f - 2*f - 30 = 0. Let u be 5/3 - (-2)/f. Suppose u*h + 6 = -6. Is h greater than -5?
False
Let s = -193/4 + 48. Let c be (3 + 0)*(-9)/27. Are c and s non-equal?
True
Suppose -6*x + 2 = -4*x. Which is smaller: x or 14?
x
Let i be 2 - 1 - 0/2. Let y be -2*(i - 56/(-2)). Let a = -521/9 - y. Is a smaller than -1?
False
Let n(b) = b**2 - 1. Let c be n(-3). Suppose -4*d + c = -4. Suppose 0 = -2*p + 3*h, 0 = -p - h + 4*h. Is d bigger than p?
True
Suppose -55 = 4*b - 163. Let x = 38 - b. Is 1 greater than or equal to x?
False
Let x = 37 - 36. Suppose -2*d = 2*d + 320. Let a = d + 238/3. Which is smaller: x or a?
a
Suppose -l + 5*s + 9 = 3, -3*s - 6 = -3*l. Suppose -d = -4*r - 20, -4*r - 4*d - 43 = -3. Let q = 8 + r. Is q less than l?
False
Let h = 1 - -4. Let m be (-10)/16*(-2)/h. Is m less than or equal to -1?
False
Let j = 2 - 3. Let a be 2 + 0 + -1 + j. Suppose 0*l = -w + 4*l - 11, -3*l = 5*w - 14. Which is smaller: w or a?
a
Let g be 1/(5/(-10 + 5)). Let z = -4 + 3. Is z > g?
False
Let h be 1*2 - 122/61. Let s = 236203/1834 - 506/131. Let l = 125 - s. Which is smaller: l or h?
h
Let g = -0.9 + 0.6. Let u = g + -0.1. Let c = u - -2.4. Which is bigger: 1 or c?
c
Let f be 4/14 + 2/(-7). Suppose -5*g - 7 - 23 = f. Which is bigger: g or -8?
g
Let l be (1 + 11)*(-7)/(-28). Let p = 2 - l. Let a be -1 - (p - (-2 + 2)). Is 0 > a?
False
Suppose 0 = 7*j + 18 - 25. Which is smaller: j or 2/105?
2/105
Let m be ((-8)/(-46))/(-2 + 4). Which is greater: m or 0?
m
Suppose -6*k = -k - 4*s - 21, 0 = k + 5*s + 19. Let b(u) = -u**2 - 5*u. Let f be b(-5). Let m be -1 + (-10)/(-8) - f. Which is smaller: m or k?
m
Let q(p) = p**3 + 4*p**2. Suppose -3*v = -v + 8. Let r be q(v). Which is greater: -1 or r?
r
Let d = -127.8 + 105. Let u = -26 - d. Let n = u - -3. Is n != 2/5?
True
Let u be (-4)/(-14)*(-14)/(-24). Let q be 2/(-2)*(3 - 3). Which is greater: q or u?
u
Let h(p) = p + 10. Let y be h(-7). Suppose 93 - 11 = 4*l + 2*a, 0 = -3*l + 2*a + 65. Suppose -5*z - 6 = -l. Is y < z?
False
Let k be (-1)/(-1 + (-68)/(-8)). Which is smaller: k or 1?
k
Let z(i) = -i**2 + 6*i + 6. Let g be z(7). Let a be 2/(-6) + (-22)/(-3). Suppose -5 = a*l - 2*l. Is l equal to g?
True
Suppose 0 = -8*x + 12*x. Is 3/4 greater than or equal to x?
True
Let z(k) = 0 - 11*k + 4 - 7. Let f be z(-3). Suppose 5*b - f = -0*b. Is 4 >= b?
False
Let m(v) be the third derivative of -v**4/24 + 7*v**3/6 + 8*v**2. Let g be m(13). Does g = -6?
True
Let u = -5 + 18. Let o be u/8 + -1 + -1. Is 0 at most o?
False
Let w(p) = p. Let k be w(1). Let n be (k/3)/((-2)/(-3)). Let b = 17 + -16.9. Are n and b unequal?
True
Let y = -14677/25 - -587. Is y != -0.1?
True
Let c be (-172)/(-20) + 1*4/10. Let r = 17 + -9. Is c > r?
True
Let c = 10 - 10.2. Let s = -0.1 - c. Which is smaller: s or -3?
-3
Let w be ((-18)/(-392))/(72/84). Is -1 < w?
True
Let o = 20 + -21. Which is bigger: o or 1?
1
Let v = 0 + -3. Let a be ((-4)/(-20))/(v/5). Which is smaller: a or 0?
a
Let k be (6/9)/(6/9). Let u = 2 - k. Which is smaller: 5/7 or u?
5/7
Let m = 3 + -5. Is -2/3 smaller than m?
False
Let a be (0 - -7)/(3 + -2). Is a greater than 6?
True
Let m be 5/((-525)/(-10))*-6. Let d = 3 + -4. Is d at most m?
True
Let d = -32 + 18. Let w be d/21 + 2/3. Is 1 less than or equal to w?
False
Suppose -4*c + 2 = 2*s, 5*c + 34 - 5 = 2*s. Let u = s - 11. Which is bigger: u or -13/4?
-13/4
Suppose 4*i + 2*j = 6, -8*i + 3*i + 13 = -3*j. Let h = 6 - 6. Suppose h*q = 5*q - 15. Which is smaller: i or q?
i
Let q = -5 - -6. Which is greater: -3/8 or q?
q
Let g = -51/2 + 25. Which is smaller: 0 or g?
g
Let h(d) be the first derivative of d**2 + 4*d - 6. Let r be h(-3). Which is smaller: r or -5/6?
r
Let r(b) = -3*b**2 - 11*b - 3. Let y be r(-3). Is y > 1?
True
Suppose 4*s - s + 3 = -3*u, 5*s + 8 = -2*u. Let r be 0 - (1 + s) - -5. Suppose 4*b - r - 2 = 0. Which is greater: -2/3 or b?
b
Let q = 35 - 35. Is -3 greater than q?
False
Suppose -4*i + 13 = -j - 92, 2*i - 57 = 5*j. Is 26 < i?
False
Suppose -3*k + 42 = -0*y - 3*y, 5*k - 70 = 2*y. Let g = k + -57/4. Let z = 4 + -3. Is g <= z?
True
Let m = -1 + 0.8. Suppose 0 = 6*d - 10*d. Suppose d = -4*u - 12 - 0. Which is smaller: m or u?
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-3/4
Evaluate (-3 - 2) + 1 + -1.
-5
What is -11 + -1*(-3 + -5)?
-3
What is the value of (3/6)/((-24)/16)?
-1/3
What is the value of 1/(-5) - 13/(-65)?
0
Calculate 67/(-165) + 8*(-4)/(-240).
-3/11
What is the value of (-1)/2*(6 + 28/(-6))?
-2/3
Calculate -3 - (-75)/(-65) - -4.
-2/13
((228/168)/19)/(3/(-6))
-1/7
What is (2/(-21))/(68/102)?
-1/7
1/((1/(-2))/1)
-2
What is the value of 7 - (1/2 + 2844/504)?
6/7
What is ((-180)/36)/((-70)/8)?
4/7
Calculate ((-6)/4)/((-3)/(-4)).
-2
Evaluate (-2 + 18/10)*5/(-5).
1/5
What is the value of 0*(-3 + (-6)/(-3))?
0
1/(-4)*((-182)/(-39) - 2)
-2/3
What is (-11)/110*4*(-4)/8?
1/5
What is the value of ((-5)/3)/((-10)/3 - -3)?
5
Evaluate 1 + -1 + 210/945.
2/9
Calculate (6/12)/((-11)/(-88)).
4
What is 27/(-12) - ((-12)/(-16) - 1)?
-2
Evaluate -11 + 7 - (-10)/3.
-2/3
896/168*3/(-2)
-8
What is the value of (-98)/147*(-6)/4?
1
((-4)/6)/((-4)/(-30))
-5
Evaluate -10 + (30 - 10) - 8.
2
Calculate (-2)/8 + (-20)/(-16).
1
(-27)/18 + 75/42
2/7
Calculate 180/(-24)*48/36.
-10
What is 96/(-16) - (1 - 3)*1?
-4
Calculate 8/12*3/(-4)*18.
-9
90/12*(-6)/(-9)
5
What is ((-15)/(-12) - 2)*(-7 + 3)?
3
What is 3/1 + 1/(2/(-4))?
1
What is ((-2)/(-4))/(3/30)?
5
Evaluate 1 - (-11)/((-22)/4).
-1
What is (-230)/50 - (4 - 9)?
2/5
((-33)/18 - -2)/(1/(-4))
-2/3
What is (189/(-882))/((-12)/(-14))?
-1/4
What is the value of (-102)/408 - 54/8?
-7
Calculate (4 - (-44)/(-8))*(-3)/9.
1/2
What is the value of 51/(-63) - (-3)/21?
-2/3
Calculate ((-6)/72)/(16/(-12) - -1).
1/4
Calculate 5 - (19/(-95))/((-3)/(-15)).
6
Calculate ((-10)/(-125))/(3 + (-16)/5).
-2/5
Calculate (-4)/(-18)*-1 + 352/(-1980).
-2/5
What is the value of 20/8*9/(-45)*-2?
1
(56/(-1764))/(1/(-7))
2/9
What is the value of (6/(-9))/((-4)/(-12))?
-2
Evaluate ((-4)/8 - -1) + 33/(-30).
-3/5
What is the value of -3*(102/18 - 4)?
-5
What is the value of 2*((-17)/(-119) - 9/(-35))?
4/5
Evaluate (-7)/2*306/(-357).
3
What is the value of (24 + -25)/(2/6)?
-3
What is the value of 4*(-8)/160*-10?
2
(12*(-6)/(-270))/((-24)/20)
-2/9
What is the value of (0/(-2))/(15/((-180)/12))?
0
What is (-2)/(-6)*72/40?
3/5
Evaluate (-4)/14 - (0 + 3/14).
-1/2
Evaluate (4 - 1/(4/40)) + 2.
-4
What is the value of 9/(-13 - -4)*7?
-7
Calculate 522/435*(-2)/(-21)*-10.
-8/7
What is 3/((-9)/6) + -1?
-3
88/(-14) + (-517)/77 + 7
-6
Calculate (-21 + 15)*-2*(-1)/2.
-6
Calculate (-58)/10 + (7 - 8 - -6).
-4/5
Calculate ((48/(-20))/(-4))/(-1 - -2).
3/5
What is the value of (-16)/(-2) - 2 - 9/3?
3
Evaluate (-2)/(-4) + -13 + (-117)/(-6).
7
Evaluate 3/(-28) + 8/32.
1/7
23/5 + -7 + 6/2
3/5
What is 3/(-6) + -5*(-24)/400?
-1/5
Evaluate (-42)/(-112) + 63/24 + 5.
8
What is the value of ((-104)/884)/(2 - (-2)/(-2))?
-2/17
(4/(-10)*2)/((-4)/10)
2
Calculate (-217)/248 - (-2)/(-16).
-1
Calculate 238/784 + 3/(-7).
-1/8
Calculate 1 - ((-184)/(-36) - (-4)/(-1)).
-1/9
Calculate (-3)/(1/(-2) + (-28)/8).
3/4
Calculate 6/8 + (-1)/4.
1/2
What is the value of 1*12/(-80)*-4?
3/5
What is the value of (-2 - 1 - -5)/(4/14)?
7
Evaluate (492/(-56) + 9)*2.
3/7
What is (36/(-96))/(3/(-2))?
1/4
What is (-2)/8*-2*(-28)/(-70)?
1/5
Calculate (3/(-9))/((-30)/(-12)).
-2/15
What is 34/(-70) + 3 + (-38)/14?
-1/5
Calculate (-4 - 1288/(-210)) + (-3 - -1).
2/15
What is (215/516)/(5/(-2))?
-1/6
What is the value of 3 + -6 + 3 - (-9)/(-6)?
-3/2
Evaluate 25/(-20)*4*-1.
5
What is the value of -3*7/(-6) + -2 - 3?
-3/2
((-4)/8 - -1)*-1
-1/2
Evaluate (60 - 61)*3*(-6)/(-9).
-2
2/5 + (-2)/10
1/5
Calculate 15/20*(-36)/9.
-3
What is the value of 2/(-4) - -6*(-18)/24?
-5
What is the value of (-9 + 5)/(-40)*-2?
-1/5
((-6)/15)/(9*(-3)/15)
2/9
What is 2/(-12) - (7/(-6))/1?
1
What is (2/(-4))/((-60)/40)?
1/3
-2*1*(8 - 102/12)
1
(88 + -86)/((-2)/(-5))
5
What is (-10)/(-6) - (-2)/(-3)?
1
What is the value of 56/21 - -2 - 16/(-12)?
6
Evaluate (-2)/(-5)*(-95 + 90).
-2
Calculate (-288)/(-570) + (-4)/(-30)*-3.
2/19
What is (-1)/(-3)*2 - (-14)/6?
3
What is (-12)/(-16)*(0 + (-2)/6)?
-1/4
Calculate (-17)/(4692/8)*(2 + 1).
-2/23
Calculate 117/72*-1 - 1/(-8).
-3/2
Calculate 286/(-52) - (-6 - -2).
-3/2
Evaluate (-12)/(336/371) + 13.
-1/4
(11*9/99)/(-1)
-1
What is 5 + (-55)/(-15) - 9?
-1/3
What is the value of 9/((-81)/16) - -2?
2/9
Evaluate 6/(-4)*(-5)/((-30)/(-3)).
3/4
What is (-385)/165 - 23/(-9)?
2/9
(-2)/(-9) - 231/1890
1/10
Calculate 15/(-11 + 8 + 6).
5
What is the value of (-29)/18 + (-21)/(-14)?
-1/9
What is the value of 290/35 + -4 - 4?
2/7
Calculate -11 + 321/45 + (-4)/30.
-4
What is the value of (-1)/(-2)*(117/(-9) + 13)?
0
What is ((-34)/8 + 4)*2?
-1/2
Evaluate (-74)/102 - 256/(-4352).
-2/3
63/108 - ((-6)/(-8) - 0)
-1/6
What is (4/48)/((-4)/6)?
-1/8
Evaluate ((-2)/(-5))/((-4)/(-40)).
4
What is ((-6)/(-2))/(72/40)?
5/3
What is the value of (-5)/8 - -3*(-7)/(-42)?
-1/8
Calculate (3/9)/(-16 - -15).
-1/3
Calculate 8/16 - 2/8.
1/4
(-60)/(-210)*15/(-6)
-5/7
What is the value of (-1)/5 - 420/(-100)?
4
Evaluate (1/6*-3)/6.
-1/12
What is the value of 8/28 + 8 + (-438)/63?
4/3
What is (-14)/21*(-6)/(-8)?
-1/2
Calculate (-124)/(-2976) - 91/(-120).
4/5
Evaluate ((-20)/385)/(10/(-55)).
2/7
Evaluate 2/(156/(-8)*4/6).
-2/13
What is the value of 384/108 + (-20)/(-45)?
4
5/(-33) + (228/(-44) - -5)
-1/3
Calculate (-1 - (3 - 7))*(-2)/3.
-2
What is the value of 6/24*(-8)/(-7)?
2/7
(2/4)/((-100)/40)
-1/5
What is the value of ((128 + 7)/15)/(-1)?
-9
Evaluate (-10)/(-280) + (-13)/(-52).
2/7
Evaluate (-20)/(-35) - 32/28.
-4/7
What is the value of 12/(-48) - (-2)/(-8)?
-1/2
(-10)/(-4) + (29 - -3)/(-16)
1/2
What is the value of 21/70*(-8)/12?
-1/5
Calculate ((-8)/24)/((-5)/9).
3/5
Evaluate 15/110*(16/(-3))/(-4).
2/11
What is the value of (3*5/(-15))/((-20)/(-60))?
-3
Evaluate (13/((-39)/2))/((-35)/21).
2/5
Evaluate (-4)/(-32)*1*(-4)/(-3).
1/6
What is 1*-3*((-72)/27)/4?
2
What is the value of 9/(-4 - -1)*(-3)/27?
1/3
Evaluate (-688)/(-1088) + (-15)/20.
-2/17
What is (-16)/(-2) + -3 - 5?
0
What is ((-5)/(-10)*-76)/10 + 5?
6/5
What is 132/99*(-3)/(-8)?
1/2
What is the value of (-39)/15 + 0 + (-4)/10?
-3
Calculate 1/(-2)*-1 + 37 + -38.
-1/2
What is (392/112)/(14/8)?
2
Evaluate (1/(-10) + 1)*70/(-105).
-3/5
Calculate (-6)/9*9/(-33).
2/11
(2/4)/((-8)/((-192)/54))
2/9
What is 7/(-12) + (-1)/16*-4?
-1/3
Evaluate (112/98)/(2/(-7)) + 5.
1
What is the value of (-6)/(-45)*(9 - -1)?
4/3
Evaluate (-30)/7 - (15 - (-107)/(-7)).
-4
What is (-6)/9 - (1 - 1)?
-2/3
What is (-24)/(-54)*(-45)/(-50)?
2/5
Calculate (11 - 239/22)*-4.
-6/11
((-10)/45*-9)/((-1)/(-2))
4
What is the value of (-4)/((9/(-15))/(171/380))?
3
-2 - 35/15 - -5
2/3
What is the value of 3 + ((-34)/51)/(2/12)?
-1
Calculate -9*(-6)/99*(-3)/9.
-2/11
Evaluate 4/12*(-2 - -3).
1/3
20/(-5) + (-22)/(-7)
-6/7
What is the value of (-35)/(-6) - (-16)/96?
6
(-64 + 63)*(-10)/4*-2
-5
What is 14/(-10) - 5883/(-4770)?
-1/6
What is (-30)/(-12) - (-2 + (-22)/(-4))?
-1
Evaluate (-82)/(-20) + (-1)/10.
4
Calculate 0*((-120)/32 - -4).
0
3/4*1*(0 + 4)
3
Calculate (3/12 - -1)*16/4.
5
What is the value of ((-28)/(-42))/(2*1/(-9))?
-3
What is (4/(8/(-3)))/3?
-1/2
What is the value of 38/(-40) - 90/(-120)?
-1/5
Evaluate (-1)/(3 - 4 - 0).
1
Evaluate (-10 - -1) + (-1274)/(-140).
1/10
Calculate (-5 - 42/(-9))/((-11)/(-132)).
-4
Calculate ((-8)/(-20))/(2/(-10)).
-2
Calculate ((-4)/(-6))/(-5 + 5/15).
-1/7
Calculate (-5)/(-1) - (-2)/(-2).
4
Calculate 2/13 + (-5859)/819.
-7
Evaluate (27/(-4))/(27/(-9)) + -3.
-3/4
-3 + 1044/171 - 3
2/19
Evaluate (12/(-10)*70/(-21))/6.
2/3
What is -5*(-12)/(-80)*(-1 + 9)?
-6
What is 18*(-13 + 27/2)?
9
What is (14/4 + -2)*2?
3
((-1)/2 + 2)*12/6
3
What is ((-1)/(-2) - 65/70)*-7?
3
Calculate ((-252)/(-45) - 8)/((-4)/10).
6
(-78)/12 - (-2)/4
-6
Calculate (1/((-5)/2))/(-1).
2/5
(-58 - -58) + 3/5
3/5
What is (24/(-9))/(-4) - (-5 + 6)?
-1/3
(-25 - -24)/(12/(-4))
1/3
What is the value of (-7)/(-14)*8/(-4)?
-1
-3 + (-44)/11 - -6
-1
3*-1 + 104/24
4/3
Calculate (-448)/98 + (-6)/14.
-5
0 + -2 - (-9)/(-9)
-3
What is (2/20*(-5)/(-2))/(-2)?
-1/8
What is the value of (-2 + (-6)/(-12))*2?
-3
Calculate (10/6)/(((-2610)/108)/(-29)).
2
Evaluate (6/(-36))/((-20)/(-6) + -3).
-1/2
Evaluate 0/(7*15/(-35)).
0
What is (91/28)/(-13) + 42/8?
5
What is (-102)/(-255) + 1/5?
3/5
What is -5*(4 - 2 - 3)?
5
Calculate (-8)/(-10)*(3 + 6/3).
4
2/(-70)*4*50/(-20)
2/7
15/(-13) + (-6)/(-39)
-1
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
of -s**6/60 - 49*s**5/10 + 149*s**4/6 - 324*s**2. Solve t(q) = 0 for q.
-149, 0, 2
Let x = -58 + 50. Let r be ((-2)/8 + 0)*x. Factor -2/5*o**r + 1/5*o**3 - 4/5*o + 8/5.
(o - 2)**2*(o + 2)/5
Suppose 135 = 3*q - 9. Suppose 36 = j - 2*h, -q = -j - 4*h + 2*h. Solve -w**2 - 86 - 3*w + 42 + j = 0.
-2, -1
Let i(t) be the first derivative of -t**4/6 - 2*t**3/3 + 48*t**2 + 1664*t/3 + 417. Solve i(h) = 0 for h.
-8, 13
Let n = 171/140 + -233/420. Find v, given that 10/3 - 22/3*v - n*v**3 + 14/3*v**2 = 0.
1, 5
Let f = 454/845 - 1614/9295. Factor 6/11*y**3 + f*y**2 - 2/11*y + 0.
2*y*(y + 1)*(3*y - 1)/11
What is h in 392/5 + 108/5*h**2 + 2/5*h**3 + 498/5*h = 0?
-49, -4, -1
Let w(d) = -3*d**2 - 1. Let o(i) = 11*i**2 - 66*i + 1092. Let p(q) = -o(q) - 4*w(q). Let x(f) = -2*f**2 - 1. Let s(l) = -2*p(l) - 2*x(l). What is y in s(y) = 0?
33
Suppose -3*o - 4*x - 193 = 0, 5*o + 270 = o + x. Let p = o - -69. Let -6*s - 9*s - 3*s**2 + 2*s**p + 4*s**2 + 18 = 0. What is s?
2, 3
Suppose 18 - 28/5*u + 2/5*u**2 = 0. Calculate u.
5, 9
Let x(l) = -2*l + 161 + 10*l**2 - 137 - l**3 + 0*l**3. Let k be x(10). Factor -2*c**3 - k*c**2 - 196 + 196 + 4*c**4 + 2*c**5.
2*c**2*(c - 1)*(c + 1)*(c + 2)
Let v(p) be the third derivative of p**7/210 + 37*p**6/120 + 39*p**5/5 + 90*p**4 + 288*p**3 - p**2 - 303. Let v(q) = 0. What is q?
-12, -1
Suppose -4*b + 13 = h, -3*b + 5*h = -0*b + 19. Find w such that 8*w**2 + 0*w**2 - 4*w - 26*w - 72 - 5*w**b = 0.
-2, 12
Let s(w) = -w**3 - 46*w**2 - 87*w + 32. Let i be s(-44). Let k be i/14 + 1770/1575. Factor -6/5*l**2 + k + 14/15*l.
-2*(l - 1)*(9*l + 2)/15
Let n = 25 + -23. Suppose -3*g - 5*w = 8, 0 = 2*g - n*w - w - 20. Factor f + f**2 - 6*f**2 + g*f**2 + 2*f**2 - 2.
(f - 1)*(f + 2)
Suppose -37*i = -21*i - 32. Let -129*s - 19*s - 10*s**i - 48*s + 31*s - 80 = 0. What is s?
-16, -1/2
Factor 4/7*q**2 + 178084/7 - 1688/7*q.
4*(q - 211)**2/7
Let r(p) be the first derivative of -10*p**3 + 25/4*p**4 - p**5 + 40*p - 72 - 10*p**2. Suppose r(d) = 0. What is d?
-1, 2
Let d = 356 + -357. Let u be 4 - (3/d - 22/(-10)). Suppose 6/5*f**3 + 6*f + u*f**2 + 12/5 = 0. Calculate f.
-2, -1
Let b(j) be the first derivative of j**3/15 - 3*j**2/10 - 28*j/5 - 1293. Factor b(x).
(x - 7)*(x + 4)/5
Determine n so that 84833 - n**2 - 32*n - 85169 - 5*n = 0.
-21, -16
Let u(j) be the second derivative of -9/2*j**2 + 0 + 55*j + 9/80*j**5 - 35/8*j**3 + 1/4*j**4. Factor u(f).
3*(f - 3)*(f + 4)*(3*f + 1)/4
Let n(r) = 3*r**4 + 210*r**3 + 1137*r**2 - 6. Let h(u) = 3*u**4 + 209*u**3 + 1136*u**2 - 4. Let o(i) = 3*h(i) - 2*n(i). Factor o(l).
3*l**2*(l + 6)*(l + 63)
Let l(z) = 2*z**2 - 83*z + 588. Let x be l(9). Suppose -4/5*h + 1/5*h**4 + 2/5*h**2 - 3/5 + 4/5*h**x = 0. What is h?
-3, -1, 1
What is b in -7485*b + 3093 + 1542 + 85*b + 208 - 5*b**2 + 2562 = 0?
-1481, 1
Let z be 4 + -1*(-2228)/(-2). Let a be z/(-150) - (6/(-10))/1. Factor 0 + 50*x - 46*x - x**3 - 6*x**2 + a + 0*x**4 + x**4.
(x - 2)**2*(x + 1)*(x + 2)
Let s(o) be the third derivative of o**7/630 - 7*o**6/360 - 5*o**5/9 - 71*o**4/18 - 40*o**3/3 - 25*o**2 + 30. Suppose s(d) = 0. Calculate d.
-4, -2, 15
Suppose 3*y - 4*v + 214 = 0, -7*y + 12*y - 3*v + 353 = 0. Let c be (y/(-350))/(3/5). Solve -2/3*j**2 + 1/3*j**5 + 0*j**3 + 2/3*j**4 + 0 - c*j = 0.
-1, 0, 1
What is c in 84302*c**4 + 3684*c**2 - 9720*c + 21*c**5 + 679 + 3138*c**3 - 83825*c**4 + 1721 = 0?
-10, -4, 2/7, 1
Let v be ((-34)/(-3) - 11)/(4 + -3). Let x(s) be the third derivative of 1/24*s**4 - 1/60*s**5 + v*s**3 + 0 + 6*s**2 + 0*s. Factor x(a).
-(a - 2)*(a + 1)
Let r(d) be the second derivative of 31*d**4/36 - 2*d**3 + 5*d**2/6 + 3*d - 120. Factor r(x).
(x - 1)*(31*x - 5)/3
Factor -159/4*z**2 + 0*z + 0 - 1/4*z**3.
-z**2*(z + 159)/4
Let u(m) = -4*m**4 - 7*m**3 + 20*m**2 - 33*m - 141. Let s(j) = -11*j**4 - 18*j**3 + 61*j**2 - 96*j - 424. Let x(y) = 3*s(y) - 8*u(y). Factor x(o).
-(o - 4)**2*(o + 3)**2
Let p(u) be the second derivative of -u**6/120 + 4*u**5/15 + u**4/24 - 8*u**3/3 + 61*u**2/2 - 13*u. Let t(l) be the first derivative of p(l). Factor t(r).
-(r - 16)*(r - 1)*(r + 1)
Let f(g) be the third derivative of g**6/80 + 38*g**5/5 - 939*g**4/4 + 2844*g**3 - 3*g**2 - g + 55. Factor f(y).
3*(y - 6)**2*(y + 316)/2
Let -1200 + 785*t + 539*t**4 + 298*t**4 - 5*t**5 + 1610*t**2 - 1810*t**4 - 780*t**3 + 563*t**4 = 0. Calculate t.
-80, -3, -1, 1
Let k(q) be the first derivative of -39*q**4/4 + 313*q**3 - 36*q**2 - 157. Factor k(p).
-3*p*(p - 24)*(13*p - 1)
Let g(z) be the third derivative of 23*z**5/300 + z**4/20 - 52*z**2 + z. Factor g(t).
t*(23*t + 6)/5
Let c(g) = 13*g**2 - 29*g - 38. Let f(r) = 4*r**2 + 4*r + 1. Let i(q) = c(q) - 4*f(q). Let i(t) = 0. Calculate t.
-14, -1
Let p = 8 + 6. Suppose 3*g = -3, -w = -0*g + 2*g - p. Factor 2 - w*t + 10 + 41*t**2 - 34*t**2 - t**3.
-(t - 3)*(t - 2)**2
Let j(r) be the third derivative of 0*r + 0*r**5 + 46*r**2 + 1/10*r**6 + 0*r**3 - 1/12*r**4 - 8/105*r**7 + 1/56*r**8 + 0. Let j(h) = 0. Calculate h.
-1/3, 0, 1
Let k = 36947/14 + -18428/7. Let -3/8*m**2 + 9/2 + k*m = 0. Calculate m.
-2/3, 18
Let g(y) be the first derivative of 0*y**3 + 1/15*y**5 + 0*y + 0*y**2 + 117 - 5/6*y**4. What is n in g(n) = 0?
0, 10
Find t such that -522/5 + 76/5*t - 2/5*t**2 = 0.
9, 29
Let b(s) = -s**4 - 2*s**3 - s. Let y(q) = 3*q**4 - 335*q**3 - 1130*q**2 - 1000*q - 200. Let c(j) = 20*b(j) - 5*y(j). Suppose c(m) = 0. Calculate m.
-2, -1, -2/7, 50
Let m(n) be the first derivative of -4*n**5/5 - 26*n**4 + 1012*n**3 + 24128*n**2 - 861184*n - 13233. Solve m(l) = 0.
-29, 16
Let o(m) be the third derivative of m**5/60 - 203*m**4/6 + 811*m**3/6 + 2834*m**2 + 1. Factor o(p).
(p - 811)*(p - 1)
Let h be (444/74)/(4 + (-26)/8) - 11/(-4). Find l, given that h*l - 5/4*l**4 + 39/4*l**2 - 19/4*l**3 - 5/2 = 0.
-5, -1, 1/5, 2
Let l be ((-6)/5)/(462/(-105)). Let o(w) be the first derivative of 1/22*w**4 + l*w**2 + 10 - 2/11*w - 2/11*w**3. Solve o(z) = 0 for z.
1
Let l be (-8502)/1701 + 7 + (4 - 6). Let v = 3391/6237 + l. Factor 0*q + 0 - 14/11*q**4 + 4/11*q**5 + 16/11*q**3 - v*q**2.
2*q**2*(q - 1)**2*(2*q - 3)/11
Let m(j) = -8*j + 277. Let z be m(32). Solve -9*u**4 + 57/2*u**3 + 3 - z*u**2 - 3/2*u = 0 for u.
-1/3, 1/2, 1, 2
Let t(f) be the third derivative of -f**5/100 + 27*f**4/10 - 208*f**3/5 - 4069*f**2. Solve t(r) = 0 for r.
4, 104
Let c be ((-48)/(-4))/(2 + -1). Suppose c*p + 486 = 14*p. Determine j so that -5*j**3 - 729 + 145*j**2 - 172*j**2 - p*j + 4*j**3 = 0.
-9
Let g = -72612 - -72614. Factor -4/7*u + 0*u**g - 2/7*u**4 + 4/7*u**3 + 2/7.
-2*(u - 1)**3*(u + 1)/7
Let y = 139 - 137. Let 5783*a**y - 15 + 28*a + 39 - 5779*a**2 = 0. Calculate a.
-6, -1
Let j be (10/(-4))/(80/(-64)). Suppose -2*k - j*k + 96 = 0. Let -k*i**2 - 5*i**3 + i**4 + 47*i**2 - 3*i - 16*i**2 = 0. What is i?
0, 1, 3
Let a(y) be the second derivative of y**7/441 - 11*y**6/315 - 37*y**5/210 + 407*y**4/126 + 104*y**3/7 - 432*y**2/7 + 1062*y. Suppose a(r) = 0. Calculate r.
-4, 1, 9
Let w(n) = -16*n**2 + 144*n - 30. Let l be w(15). Let x be (l/(-4725))/((3/35)/3). Determine h, given that -x - 2/9*h**2 - 28/9*h = 0.
-7
Let a = 76611/1468 - 321/734. Factor 867 - 918*i + a*i**2 - 3/4*i**3.
-3*(i - 34)**2*(i - 1)/4
Let i = 8798/2469 - 738/823. Let 8/3*r**3 - 2/3*r**4 + 2/3*r**2 + 0 - i*r = 0. What is r?
-1, 0, 1, 4
Factor -3 + 138*s**2 - 150*s**3 - 51/2*s.
-3*(2*s - 1)**2*(25*s + 2)/2
Let u be 330/25 + (-2)/10. Suppose 3 - u = i + 3*h, -i - 4*h - 15 = 0. Factor -3*c**i + 56 - 56 + 6*c**3 + 3*c**4.
-3*c**3*(c - 2)*(c + 1)
Suppose 12*x - 64 + 6 = 26. Let v(p) be the second derivative of -8/17*p**3 + 0 - 1/170*p**5 + 36/17*p**2 - 11/102*p**4 + x*p. What is w in v(w) = 0?
-6, 1
Let a(c) be the first derivative of -116 + 4961/14*c**4 - 8/7*c + 131/7*c**2 + 2662/35*c**5 - 946/7*c**3. Suppose a(m) = 0. Calculate m.
-4, 1/11
Let n be (8/26 - 7399/(-7852))*(-2)/(-20). Let d(z) be the second derivative of 0 - 3/40*z**5 - 1/12*z**3 + 7*z + 0*z**2 + n*z**4 + 1/60*z**6. Factor d(c).
c*(c - 1)**3/2
Let f(v) = 6*v**3 - 562*v**2 + 2*v + 562. Let x(c) = c**3 + c**2 - 1. Let n(u) = -f(u) + 8*x(u). Suppose n(r) = 0. Calculate r.
-285, -1, 1
Suppose 4530*o = 4488*o. Factor o + 4/5*r**3 + 48/5*r**2 + 16*r.
4*r*(r + 2)*(r + 10)/5
Let h be (-1150)/75*3/(-2). Let a = h + -21. Let -122 - 87*n**2 - 71*n**2 - 58 + 33*n**a - 420*n - 10*n**3
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Let n(k) = 805*k - 22. Let c(u) = -1. Let h(d) = -5*c(d) - n(d). Is h(-2) a prime number?
True
Let n = 61 - 57. Suppose n*d = -0*d + 2684. Is d a composite number?
True
Suppose -13*k - 1209 = -10*k - l, k + 2*l + 403 = 0. Let a = k - -1680. Is a a composite number?
False
Let v be (-3)/(55/(-44)*12/50). Is (v/(-50))/((-2)/43910) composite?
False
Let o = -261 + 255. Let b(g) = 734*g**2 + 12*g - 15. Is b(o) a prime number?
False
Let u(z) be the second derivative of z**5/20 + 19*z**4/12 - z**3/6 - 5*z**2 - 69*z - 1. Suppose -5*b = -n + 16, 0 = -b - 4*b - 25. Is u(n) a composite number?
False
Let r = -18177 + 30050. Is r prime?
False
Suppose -184*k = -136*k - 4698768. Is k composite?
True
Suppose y = -5*n + 276104, -4*y + 1104326 = 1131*n - 1129*n. Is y composite?
False
Let i(y) = 192*y**2 + 51*y + 427. Is i(-12) prime?
False
Suppose -2*p + 156 = -250. Suppose -1255 = -3*v + p. Is 7/7*(v - -1) prime?
True
Suppose -2*a + 11 = 3*h - 0*a, 0 = -4*h - a + 23. Let f(o) = 11*o**3 - 5*o**2 - 18*o + 11. Is f(h) composite?
False
Let t(v) = -3*v**3 + 23*v**2 + 9*v - 10. Let k(a) = -a - 10. Let m be k(-20). Let j be t(m). Is 0 + 2 - 1*j/1 composite?
True
Let d = 131983 - 50738. Is d a composite number?
True
Suppose -4*f = -3*p - 69176, 3*f + 4*p = 38459 + 13398. Is f a prime number?
True
Let b be 8/(-64) + (-3)/(-24). Suppose 3*v + 6 = 0, 4*v = 5*t - b*t - 52803. Is t composite?
False
Let z be (-8)/(5 + -13) - -185969. Suppose 0 = 4*v + 3*h - z, 3*v - h - 62388 = 77083. Is v composite?
True
Let x(c) = -87*c - 31*c - 46*c + 71. Is x(-13) prime?
True
Suppose 0*z - 6074 = -5*i + 3*z, 0 = 4*i + z - 4866. Suppose -i = 7*j - 5654. Is j a prime number?
False
Let g(s) = -3*s**3 - 21*s**2 + 5*s + 2. Let c be g(-7). Let b(i) = -i**3 - 34*i**2 - 42*i + 50. Is b(c) a prime number?
True
Let d(t) = t**3 + 5*t**2 - 9*t + 28. Let q be d(-7). Is ((-39470)/(-35))/((-2)/q) a prime number?
True
Let c be (-4)/((1/216)/1). Suppose -16*a + 24*a = 11048. Let o = a + c. Is o a prime number?
False
Suppose -h = 5*d + 32, -45 = 3*h - 2*d - 0*d. Let g be (h - -16)*(-2)/(4/58). Let a = 106 - g. Is a prime?
False
Let h(t) = 10*t**2 + 4*t + 221. Is h(12) a prime number?
True
Let o = -37321 - -64560. Is o a prime number?
True
Let d(j) = -4206*j + 1199. Is d(-18) a composite number?
False
Let g = -19025 - -209211. Is g a prime number?
False
Let m = -21 - -26. Suppose -m*g + 9*g = 1872. Let f = 1511 - g. Is f prime?
False
Let q = 2 + -2. Suppose -3*x = q, 3*p + 5*x - 7554 = x. Is p composite?
True
Suppose -16477 + 111819 = -19*d. Let w = -4580 + 1615. Let u = w - d. Is u a composite number?
False
Let c(q) = -115*q - 156. Suppose 7 = 6*g - 7*g. Is c(g) composite?
True
Let i be 5*(-5)/((-10)/(-4)). Let j be (25/i)/(2/(-268)). Suppose j = 3*y + 2*y. Is y a prime number?
True
Let u(v) = -2*v**3 + 4*v**2 - 4*v + 16. Let z be u(-15). Suppose 9558 = 4*h - z. Is h a prime number?
False
Let o(v) = -36*v - 23. Let n be (0 - -12)*5/(-2). Let d = 17 + n. Is o(d) composite?
True
Suppose -m - 360 = -2*b + 5*b, 1115 = -3*m - 2*b. Let k = 2201 + m. Is k + (3 - 24/10)*5 prime?
False
Suppose 0 = -4*f - 3*m + 240, 4*f = 2*f + 4*m + 98. Let w = 107 - f. Let i = 117 - w. Is i a composite number?
False
Let n(l) = -39*l**3 - 2*l**2 - 186*l - 1761. Is n(-10) prime?
False
Let n(z) = 11*z - 64. Let j be n(6). Suppose 0 = -5*i - s + 12412, -j*i = s - 2*s - 4969. Is i a prime number?
False
Let u be 7 + -3 + 3 + -7. Let d(h) = -h**2 - 3*h + 3551. Is d(u) a composite number?
True
Suppose -3*x - 2*w = -605639, -2*w + 403768 = 2*x - 5*w. Is x prime?
True
Suppose -1 - 11 = 2*i. Let t be ((-3)/i)/(2/1272). Let x = -212 + t. Is x prime?
False
Suppose -19*h - 176198 = -2*k - 15*h, -3*h - 176195 = -2*k. Is k composite?
False
Is 222758 - ((-31 - -9) + 7) prime?
True
Let u(l) = 7859*l**3 - 9*l**2 + 31*l - 14. Is u(5) composite?
True
Let w(j) = -4315*j + 819367. Is w(0) composite?
False
Let s = 263 - 254. Let n(t) = 840*t + 49. Is n(s) a composite number?
True
Let p = -49 - -49. Let x = p + 1. Is (x + 0)/(10/11110) composite?
True
Suppose -y = -a + 5075, -3*y - a = 6520 + 8721. Let g = y - -7128. Is g prime?
False
Suppose 30*z = 18*z + 64212. Is z prime?
True
Is ((-9)/27)/(1/(2857962/(-17147774)) + 6) a composite number?
True
Let y(b) = 66*b - 105*b + 54*b - 15 + b**2. Is y(7) a prime number?
True
Suppose -25*j + 198397 + 347367 = 69*j. Is j prime?
False
Let i(t) be the second derivative of 253*t**4/12 + 2*t**3/3 + 2*t**2 - 13*t. Suppose 4*l + 4 = -0*l. Is i(l) prime?
False
Let b(l) = -143*l**3 - l**2 - 43*l - 334. Is b(-7) a composite number?
True
Let u(v) = v**3 - 8*v**2 + v - 3. Let y be u(8). Let s(k) = 6*k**3 - 5*k**2 - 4*k + 28. Is s(y) composite?
True
Suppose 7*x - 620 = 3*x. Let u(z) = 2*z - 25. Let r be u(19). Suppose 8*m + x = r*m. Is m a prime number?
True
Let h = 1901518 - 916656. Is h a prime number?
False
Suppose 52*d - 49*d = 101970. Suppose -25*o - 9115 = -d. Is o composite?
True
Let t(r) = 15*r**2 - 5. Let b(x) = 4*x + 4. Let w be b(-2). Let q be t(w). Suppose 2*d + o = 3*d - q, 243 = d + o. Is d composite?
False
Suppose t + 7 = -3*v, -v - 4*v = 5*t + 85. Is 14/((-54)/574 - t/154) a prime number?
False
Is -446*(9627/(-9)*-6)/(-4) a prime number?
False
Let k = -38 + 105. Let y be (-3)/2*-2 - k. Let j = y - -126. Is j a prime number?
False
Suppose -4*a = -r + 54609, 0 = 5*r - 29*a + 30*a - 272940. Is r a composite number?
True
Let m be (1/(-2))/(10/40). Is ((-102)/(-24) - (1 - m))*92 composite?
True
Suppose 73*v + 11772992 = 5*d + 70*v, 5*d - 4*v = 11772991. Is d prime?
False
Suppose 4*v + 846 = -5*v. Suppose 5*m - 5*g = 406 + 924, 3*m - 774 = -5*g. Let o = m + v. Is o a composite number?
True
Suppose -34*h + 1477 = 287. Let f = -71 + 127. Let m = f - h. Is m a composite number?
True
Suppose 0 = 2*n - 10, 0 = -2*t - 10*n + 15*n + 397. Is t prime?
True
Let p(g) = -1678*g - 127. Let a be p(3). Let m = a + 10898. Is m a prime number?
True
Let y(t) = t**3 - 3*t**2 + 3*t - 4. Suppose 0 = -o - 3*z - 6, 0 = -3*o + 2*z + 18 - 3. Let f be y(o). Let w(v) = 9*v**2 - 4*v + 16. Is w(f) a prime number?
False
Let w = -11 - -11. Suppose -3*b = -2*z + 11 - 1, w = z + 3*b - 5. Suppose -z*p + 856 + 234 = 0. Is p prime?
False
Suppose -7486152 = -49*p + 24977165 - 911286. Is p a composite number?
False
Let s = 26 - -2158. Suppose 0 = 6*f - s - 4398. Is f composite?
False
Let m(j) = j**3 + 9*j**2 - 3*j - 6. Suppose -3*u - 14 = -u - 5*b, -2*b + 5 = -u. Suppose -13 = u*d + 14. Is m(d) a composite number?
True
Suppose -27*x + 342 = 11*x. Let z(g) be the first derivative of 2*g**3 - 11*g**2/2 - 16*g + 1. Is z(x) prime?
False
Suppose 0 = -5*u + 15, -u + 24 + 699 = 3*n. Let b = n - -2626. Is b prime?
False
Suppose -56*g + 60*g = -2*f + 390806, 21 = 3*g. Is f a prime number?
True
Let p(z) = 7404*z + 3973. Is p(18) a prime number?
False
Let j(u) = -1822*u + 4329. Is j(-82) composite?
False
Let c = 668966 + -259845. Is c prime?
True
Let y be (-1191)/(-4)*560/42. Is (22/(-4))/((-5)/y) a prime number?
False
Let q(n) = 3451*n - 2208. Is q(65) a composite number?
False
Suppose 2*c - 10 = 0, -186722 = -5*v + 3*c + 121218. Is v composite?
True
Suppose -11*o + 12*o = 1691. Let c = 1916 + o. Is c prime?
True
Let b be 16/(4*(-6)/(-84)). Is (42/b)/(6/27592) composite?
False
Let d = -624 + 781. Suppose -172*o = -d*o - 77985. Is o a prime number?
False
Is (216818/(-14))/(2/(-4)) + -3 a composite number?
False
Suppose 10*m = 78 - 28. Let u(d) be the first derivative of 104*d**3/3 + 5*d**2/2 - 10*d - 1. Is u(m) composite?
True
Let l be 1/6 - 159/(-18). Suppose l*x = 189245 + 592. Suppose -x = -10*h + 4057. Is h composite?
True
Let q(n) be the first derivative of 11*n**5/20 + n**4/6 + n**3/2 - 3*n**2 - 7. Let u(i) be the second derivative of q(i). Is u(-2) a composite number?
False
Let p(m) = m**3 + 3*m**2 + 4*m + 3. Let c be p(-2). Let s be 23 + (-7 - -3 - c). Is -3 + (-3 - s/(-12))*-447 composite?
False
Suppose -4*q - 59828 = -2*y - 0*q, 3*q = 4*y - 119636. Suppose 18*f - 99008 = -y. Is f composite?
True
Let u(z) = 272*z**2 + 7*z + 42. Let g be u(-4). Suppose -g - 7483 = -17*s. Is s a prime number?
False
Suppose -47*d + 16*d + 15607477 = 0. Is d prime?
False
Let d = 8 - 5. Suppose -d*m - 2*m = 20. Is (-2938)/m + 6/(-4) composite?
False
Let w be (-6)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
11/3)*h**(-2/5)/(((((h/((h/(h**(-1/18)*h*h))/h)*h)/h)/h)/h)/h) assuming h is positive.
h**(154/45)
Simplify b**(3/8)*b*b**(-20)/b*((b/(b/(b**(2/7)*b)))/b*b)**(-5/2) assuming b is positive.
b**(-1279/56)
Simplify ((s*s**(2/13))/s**(-5)*(s*s**(-2))**(-24))**(-1/10) assuming s is positive.
s**(-196/65)
Simplify (t*t/((t/(t**(-5)/t*t))/t)*t)/(t*(t/(t/(t*(t/(t*t/t**(-9)))/t)*t))/t*t)*(t**(-4))**(-13/5) assuming t is positive.
t**(92/5)
Simplify ((((j*j**1*j)/j)/(j*j*j**(-3/5)))/(j**(-8)*j*j**(-1/6)))**(9/10) assuming j is positive.
j**(699/100)
Simplify ((p/(p/(p*p/p**(-3/4)*p))*p)/p*p**(1/2))/((p/((p/p**(-13))/p))/p**(-3)) assuming p is positive.
p**(53/4)
Simplify ((v**(-6)/v)/((v*v**(-2/9))/v))/(v*v**36/v*v**(-3/2)) assuming v is positive.
v**(-743/18)
Simplify ((c*(c*c/(c*(c**(-3/20)*c)/c))/c)/(c*c**(-13)/c*c))/(c**(-3/10)*c*c**(2/23)) assuming c is positive.
c**(5687/460)
Simplify (p**(-13)*(p/(p*p**(-21)*p))/p)/(p**(5/11)/p**(1/3)) assuming p is positive.
p**(194/33)
Simplify n**(-4/13)*n*n/(n*n*n/n**6*n)*(n*n**(-1/3)/n)/n*(n*n**(-6/5))/n assuming n is positive.
n**(226/195)
Simplify ((d*d**2*d)/d)**(-9/10)*(d**(1/36)/d*d*d)/(d*d**(4/17)) assuming d is positive.
d**(-8897/3060)
Simplify ((y*y**(2/29)*y)/(y*y/(y*y**(-28)/y)))**1 assuming y is positive.
y**(-810/29)
Simplify (g**(-11)*g*g**(4/13))/(g*g**(-5))**12 assuming g is positive.
g**(498/13)
Simplify ((s**1*s)**(2/57)*s**(-10)*s/(s**(4/5)*s))**(-3) assuming s is positive.
s**(3058/95)
Simplify (l*l**3)**(-8)/(l**(1/2)*l*l**2) assuming l is positive.
l**(-71/2)
Simplify ((v/(v**(6/13)/v)*v)/((v*v/((v**(7/2)/v)/v))/v*v))/((v*(v*v**(-2)*v)/v)/v**(-1)) assuming v is positive.
v**(27/26)
Simplify (z**(2/11)/(z*z/((z*z**(1/4))/z)*z))**(-17/5) assuming z is positive.
z**(1921/220)
Simplify ((f*f**(-1))**30*f**(-1/7)*(f/(f*f/(f/((f/(f*f**(-4)*f))/f*f))))/f)**23 assuming f is positive.
f**(-667/7)
Simplify h**(-3)*h*h**(-11)*h*h*h**5*h**19 assuming h is positive.
h**13
Simplify ((x*x**(-5/4))/(x/(x/(x/(x/x**(-6/7))))))/(x**31*x/(x**(-7)/x)) assuming x is positive.
x**(-1103/28)
Simplify (u**(1/26)*u**15)/(u**(-1/4))**(-5/8) assuming u is positive.
u**(6191/416)
Simplify ((h*(h**(-2/13)/h)/h)/(h**(-2/21)*h))/((h*h**(-6)*h)/h**(2/5)) assuming h is positive.
h**(3196/1365)
Simplify (g**(-19)/(g*g**(-1/9)))/(g/(g/((g/(((g*g**0)/g)/g)*g)/g))*g)**3 assuming g is positive.
g**(-260/9)
Simplify ((t**(-11)/(t**(-10)/t))**(3/5))**7 assuming t is positive.
1
Simplify (w**(3/7))**(-34)*w/(w*w**(-2))*w**3 assuming w is positive.
w**(-67/7)
Simplify ((((y/(y**(-2/5)/y))/y*y)/y)**(-7/4)*(y/(y**(-2/11)*y))/(y*y/((y*y*(y*y**(-3/5))/y)/y)))**21 assuming y is positive.
y**(-17871/220)
Simplify (w/w**(-1))**(-11)/(w**(1/20)*w*w*w**(-2/7)*w*w) assuming w is positive.
w**(-3607/140)
Simplify (m**10/m)/(m*(m**(-9)/m)/m)*m**(2/31)*m**(-2/19) assuming m is positive.
m**(11167/589)
Simplify (((s**(2/23)/s)/(s*s**(-1/3)))/(s**(3/2)/s*s**(2/11)))**30 assuming s is positive.
s**(-17165/253)
Simplify ((x*x**(-10/3)/x)/x**(-23))/(((x*(x/(x*x*(x*x**3*x*x)/x))/x)/x)/(x/((((x/(x/(x/x**(3/13))))/x)/x)/x))) assuming x is positive.
x**(1166/39)
Simplify (z/((z*z**(-8))/z))/z*z**10*(z**(-4))**(1/13) assuming z is positive.
z**(230/13)
Simplify ((w**(-1/4)/(w*w**2))**(2/105))**(1/37) assuming w is positive.
w**(-13/7770)
Simplify ((o**(-6/7))**(-2))**(-3/14) assuming o is positive.
o**(-18/49)
Simplify (s**(-13/4)/s)/(s*s**(-18))*(s**(6/5))**17 assuming s is positive.
s**(663/20)
Simplify (y/(y*y*y/y**(-5)))**(1/31)/(y**13/y*y**(-19/3)*y) assuming y is positive.
y**(-641/93)
Simplify (v**(-2/7)*v/(((v*v**3/v)/v)/v))/(v/(v**(2/11)/v))**42 assuming v is positive.
v**(-5902/77)
Simplify ((y**1/(y*y**(-5)))**12)**(-7) assuming y is positive.
y**(-420)
Simplify ((o**(-1/2))**(-34)*(o*o*o**1)/(o/(o*o*o**(-1/3)/o)))**(-2) assuming o is positive.
o**(-118/3)
Simplify ((s/(s*s**(-4/7)))/(s*s*s*(s*s*s*s**(-8)*s*s)/s*s*s*s)*(s*(s*s**(3/5))/s)/(s*(s*s**5)/s))**(-15/2) assuming s is positive.
s**(306/7)
Simplify i*(i/i**(-2/5))/i*i*i*i*i**7*i*i*(i*i*i**(-1)/i)**(-36) assuming i is positive.
i**(67/5)
Simplify ((y**(-2/3))**(-34)/((y*y**(-2/3)*y)/(y**(-1/4)*y)))**36 assuming y is positive.
y**795
Simplify s/(s*s**14)*s**(-1)/s*(s**(1/7))**(-43) assuming s is positive.
s**(-155/7)
Simplify (k**9/k*k/k**(10/3))/(k*k**(-10)*k/(k**(-3/11)/k)) assuming k is positive.
k**(409/33)
Simplify (((q*q**(2/3))**(1/56))**(-18))**(-18/13) assuming q is positive.
q**(135/182)
Simplify (a**(-3)/((a/(a**(-2/19)*a)*a)/a))**(5/2) assuming a is positive.
a**(-295/38)
Simplify (l**7/(l/(((l/l**(-3/8))/l)/l)))/(l*l**(-1)*l*l)**(-4/9) assuming l is positive.
l**(451/72)
Simplify f/(f/(f**(1/4)/f))*f**(1/16)*(f**(-7/6))**5 assuming f is positive.
f**(-313/48)
Simplify (r**(-12)/r)**(1/13)/(r*r**(10/7)*r/(r/r**(-10/7))) assuming r is positive.
r**(-2)
Simplify ((((i/(i**(-30)/i*i))/i)/i)/i)**8*(i/(i*i/i**(-27)))/i*i/(i*i/(i*i/(i/(i*i**(-1/2))*i))) assuming i is positive.
i**(389/2)
Simplify ((((s**2/s)/s)/((s**(-2/7)*s)/s))**24)**(-45) assuming s is positive.
s**(-2160/7)
Simplify (q/(q*q**(-1/5))*q)**(-20)*q*(q*q**(-2/19))/q*q**3*q assuming q is positive.
q**(-363/19)
Simplify (((h*h**(-10))/((h**9*h*h)/h))/(h/((h*h**(2/13))/h))**(-4))**(-26/9) assuming h is positive.
h**(406/9)
Simplify (h/(h*h**15)*h**(-6/19))**(-38) assuming h is positive.
h**582
Simplify (((f**(-3)*f)/(f*f**2*f))**(2/33))**44 assuming f is positive.
f**(-16)
Simplify (b*b**5)/b**(2/7)*(b**(2/13))**(-6/19) assuming b is positive.
b**(9796/1729)
Simplify (o**(1/3))**(-19)/((o*o**(-11))/o**(1/5)) assuming o is positive.
o**(58/15)
Simplify (l**(-3)/(l/(l/(l*l**2*l)))*(l*((l**1/l)/l)/l*l*l)**22)**(2/113) assuming l is positive.
l**(30/113)
Simplify ((u**(-1/13)*u)**(-21))**(1/3) assuming u is positive.
u**(-84/13)
Simplify ((g**5*g/(g*g**(-6/5))*g)/(g*g/(g*g**(-6)*g)*g*g*g/(g**(-1/7)*g)))**22 assuming g is positive.
g**(-726/35)
Simplify (x**(-1/4)/x**16)/(x**(-5/4)*x*x**(16/3)*x*x) assuming x is positive.
x**(-70/3)
Simplify p*p**(-12)*p*p*p/(p/p**11)*p*(p/(p/(p*p**7/p)))**(-12) assuming p is positive.
p**(-81)
Simplify ((((p/(p*((p**0/p)/p)/p)*p)/p*p)**(2/15))**(-1/24))**(-4/9) assuming p is positive.
p**(4/405)
Simplify (g**(-2/3))**38/(g/(g**(-3)/g))**(-28/3) assuming g is positive.
g**(64/3)
Simplify ((x**4*x*x/(x**(-13)/x))**38)**(-50) assuming x is positive.
x**(-38000)
Simplify k**(23/5)/(k*k/k**(4/3)*k*k)*k**(3/16)/((k**(2/9)/k)/k*k) assuming k is positive.
k**(2087/720)
Simplify ((g**20)**(1/17))**45 assuming g is positive.
g**(900/17)
Simplify (((g*g**(-17))/g)/((g/(g/((g/g**17)/g))*g)/g*g*g))/(g**(-2)/g*g**3) assuming g is positive.
g**(-2)
Simplify ((b**(-1/2)*b*b)/b)**(-2/3)*(b/b**(6/5))/(b*b*b*b/(b**(-6/13)/b)*b*b) assuming b is positive.
b**(-1559/195)
Simplify (m**(3/7)/(m**20*m))/(((m/(m*m/m**(-3)))/m)/((m/m**(-19))/m*m*m*m)) assuming m is positive.
m**(45/7)
Simplify ((t**(-1/3)*t)**(1/31)*((t**(-2/3)/t)/t)/t**(4/7))**(1/14) assuming t is positive.
t**(-349/1519)
Simplify (s*s**5*s/s**(-16)*s)**(-31/5) assuming s is positive.
s**(-744/5)
Simplify (c**(-3/2)/c)**(-2/137)/((c**3/c)/c*c/c**13) assuming c is positive.
c**(1512/137)
Simplify (q/q**(2/9))**(-3/5)/(q*q*q**(-5)*q)**(-31) assuming q is positive.
q**(-937/15)
Simplify ((a**(-6/13))**(-27/2))**(30/7) assuming a is positive.
a**(2430/91)
Simplify ((j**8/j)/j)**(-2/29)*j**(-8/7)/(j/(j/j**12*j)) assuming j is positive.
j**(-2549/203)
Simplify (((s*s**9)/s)/s*s*s)/(s**(14/9)/s)*s*s**(7/8)*s*s**(-9) assuming s is positive.
s**(239/72)
Simplify ((c/(c*c/c**(-3/11)))**6)**(2/21) assuming c is positive.
c**(-8/11)
Simplify (i/(i**(-10)/i*i*i*i)*i**(-1/5)/i*i)/(i**(-10)*i**9) assuming i is positive.
i**(49/5)
Simplify (((v*v/(v**(1/7)/v))/v)**(-2/13))**26 assuming v is positive.
v**(-52/7)
Simplify c*((c/c**13)/c)/c*c**(-5)*(c*c**(-7)*c)/(c*c**(2/67)/c) assuming c is positive.
c**(-1543/67)
Simplify ((w/((w/(w**(-10)/w)*w)/w*w))/(w*w*w*w*(w/(w**(9/2)*w))/w*w*w))/(w**2/w**12) assuming w is positive.
w**(-5/2)
Simplify ((c*c**11/c)/(c**(2/9)*c))/(c/((c/c**(2/7))/c))**(-2/41) assuming c is positive.
c**(25418/2583)
Simplify (k*(k/(k/(k/(k**8/k))*k))/k*k**3*k**9*k/(k*k/((k*k*k/k**0*k)/k))*k)**16 assuming k is positive.
k**128
Simplify (k**
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from jhkhokr. Give prob of picking 1 k, 2 j, and 1 r.
0
Two letters picked without replacement from llr. Give prob of picking 2 l.
1/3
Four letters picked without replacement from zzlzzzzllzzzzzezee. Give prob of picking 3 l and 1 e.
1/1020
What is prob of picking 2 b and 1 x when three letters picked without replacement from {d: 2, s: 3, b: 2, x: 9}?
9/560
Two letters picked without replacement from xxrxrxx. Give prob of picking 1 x and 1 r.
10/21
Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {d: 2, z: 4, o: 5, e: 2, i: 4}.
5/34
Two letters picked without replacement from iijijbujijjjj. Give prob of picking 1 b and 1 u.
1/78
Two letters picked without replacement from wwwtwwqwwtwwtwttww. Give prob of picking 1 q and 1 t.
5/153
Two letters picked without replacement from auraruarnsrrrar. Give prob of picking 1 a and 1 s.
4/105
Calculate prob of picking 2 g and 2 i when four letters picked without replacement from {g: 4, i: 7}.
21/55
What is prob of picking 3 a and 1 l when four letters picked without replacement from laallaalalaaalaaaa?
22/51
Calculate prob of picking 1 c and 1 h when two letters picked without replacement from apadhaffcadddaccha.
2/51
Four letters picked without replacement from pdddddpp. What is prob of picking 4 d?
1/14
Four letters picked without replacement from {z: 2, r: 17}. What is prob of picking 2 z and 2 r?
2/57
What is prob of picking 2 s when two letters picked without replacement from {q: 3, s: 12}?
22/35
What is prob of picking 1 p and 1 x when two letters picked without replacement from expxpexxdxdxxed?
2/15
Four letters picked without replacement from {r: 12, s: 3}. Give prob of picking 1 s and 3 r.
44/91
Calculate prob of picking 2 r when two letters picked without replacement from rrrrr.
1
Three letters picked without replacement from {e: 1, g: 1, l: 1, u: 2, z: 1, k: 1}. What is prob of picking 1 g, 1 z, and 1 e?
1/35
What is prob of picking 1 x and 2 j when three letters picked without replacement from {b: 3, g: 4, j: 2, w: 4, a: 3, x: 1}?
1/680
What is prob of picking 2 b and 2 p when four letters picked without replacement from bbmmbmbbpbbbbmpm?
9/455
Calculate prob of picking 2 a when two letters picked without replacement from {k: 1, z: 1, a: 2}.
1/6
Three letters picked without replacement from {i: 4, u: 2, m: 1, c: 1, v: 1, k: 3}. Give prob of picking 2 k and 1 i.
3/55
Three letters picked without replacement from mvmmumdudddkdudvvk. Give prob of picking 2 u and 1 m.
1/68
Four letters picked without replacement from qlvtlqldvvllvnq. Give prob of picking 1 v, 1 q, 1 n, and 1 l.
4/91
Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {l: 5, h: 3, o: 1, c: 2, y: 1, w: 1}.
1/39
Calculate prob of picking 1 t and 1 e when two letters picked without replacement from etes.
1/3
What is prob of picking 1 n and 1 i when two letters picked without replacement from yyiyninyiyii?
5/33
Four letters picked without replacement from ybjbsnwwj. What is prob of picking 1 b, 1 n, 1 s, and 1 w?
2/63
Three letters picked without replacement from {d: 3, o: 1, t: 6, u: 3, m: 2}. Give prob of picking 2 d and 1 o.
3/455
Three letters picked without replacement from hhhhbhbhffhhshhf. What is prob of picking 1 f, 1 s, and 1 h?
3/56
What is prob of picking 2 t and 2 l when four letters picked without replacement from lltlsssltsltllsttl?
14/153
Four letters picked without replacement from {t: 2, z: 2, d: 2, b: 2, v: 1, m: 5}. What is prob of picking 3 m and 1 b?
20/1001
Calculate prob of picking 2 m when two letters picked without replacement from {p: 11, m: 3}.
3/91
What is prob of picking 1 d and 1 k when two letters picked without replacement from nonokoody?
1/36
What is prob of picking 1 m and 1 e when two letters picked without replacement from wxewgxjmg?
1/36
Two letters picked without replacement from wsammbwbcmsccca. What is prob of picking 1 a and 1 w?
4/105
Three letters picked without replacement from pyclx. Give prob of picking 1 c, 1 x, and 1 y.
1/10
Two letters picked without replacement from hhyyaahhgghhgah. What is prob of picking 2 y?
1/105
What is prob of picking 1 q and 1 a when two letters picked without replacement from {q: 2, d: 1, a: 4, v: 1, s: 1}?
2/9
Two letters picked without replacement from upp. What is prob of picking 2 p?
1/3
Three letters picked without replacement from zzttztz. Give prob of picking 2 t and 1 z.
12/35
Three letters picked without replacement from {f: 7, p: 6, o: 1}. Give prob of picking 2 p and 1 f.
15/52
What is prob of picking 1 m, 1 u, and 1 l when three letters picked without replacement from {t: 2, u: 3, c: 8, m: 2, l: 2}?
3/170
Four letters picked without replacement from {t: 4, c: 6, b: 1, f: 7}. What is prob of picking 3 t and 1 b?
1/765
Two letters picked without replacement from jjjjjdjdjjdjjdjjdjj. What is prob of picking 2 j?
91/171
Two letters picked without replacement from {r: 7, y: 2}. What is prob of picking 2 y?
1/36
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from yuydyyyujudyyyyyyyu.
8/171
Calculate prob of picking 1 x and 1 g when two letters picked without replacement from godxxmgdmmxddodd.
1/20
What is prob of picking 2 n when two letters picked without replacement from {u: 1, n: 2, m: 1}?
1/6
What is prob of picking 1 j, 2 o, and 1 k when four letters picked without replacement from {k: 3, y: 1, j: 2, o: 4, b: 6}?
9/455
Two letters picked without replacement from {y: 3, f: 1, g: 3, c: 5}. Give prob of picking 1 g and 1 f.
1/22
Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmm.
1
Calculate prob of picking 2 e when two letters picked without replacement from {f: 3, e: 7, r: 2}.
7/22
What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 4, i: 3}?
4/7
Calculate prob of picking 2 t and 2 q when four letters picked without replacement from qttttqtttqqtw.
168/715
Two letters picked without replacement from {v: 8, i: 3, k: 2, j: 2, s: 2, b: 2}. Give prob of picking 1 k and 1 s.
4/171
Calculate prob of picking 4 r when four letters picked without replacement from {y: 1, r: 12, s: 5}.
11/68
What is prob of picking 2 j and 1 h when three letters picked without replacement from {h: 1, j: 8, a: 11}?
7/285
Calculate prob of picking 1 f and 1 g when two letters picked without replacement from ddfgd.
1/10
Calculate prob of picking 1 l, 1 d, and 2 r when four letters picked without replacement from {l: 2, f: 1, z: 2, r: 5, d: 2, u: 2}.
40/1001
Three letters picked without replacement from hbgwgibbbuguigw. Give prob of picking 1 h, 1 u, and 1 i.
4/455
What is prob of picking 2 f and 2 k when four letters picked without replacement from kkkkkkkkkkkkkkkfkf?
2/51
Four letters picked without replacement from {y: 4, d: 15}. Give prob of picking 1 d and 3 y.
5/323
Two letters picked without replacement from lljllljj. Give prob of picking 2 l.
5/14
What is prob of picking 1 u and 3 y when four letters picked without replacement from guyugguugguuuyyug?
2/595
Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, g: 2, y: 1}.
1/10
Two letters picked without replacement from tjcqqitib. Give prob of picking 1 j and 1 i.
1/18
Four letters picked without replacement from cccccccccc. Give prob of picking 4 c.
1
Four letters picked without replacement from xxxxccxxx. Give prob of picking 3 x and 1 c.
5/9
Calculate prob of picking 2 u, 1 b, and 1 h when four letters picked without replacement from uuhhhuuuhhuhhhhuhhub.
308/4845
Calculate prob of picking 2 a when two letters picked without replacement from {m: 2, a: 11}.
55/78
Four letters picked without replacement from {q: 4, x: 2, f: 2, c: 1}. Give prob of picking 1 c, 1 q, 1 f, and 1 x.
8/63
What is prob of picking 2 x and 1 a when three letters picked without replacement from {k: 1, x: 6, a: 7}?
15/52
What is prob of picking 2 h when two letters picked without replacement from hhoho?
3/10
Two letters picked without replacement from {f: 1, w: 3, j: 4, n: 2, l: 1, q: 1}. Give prob of picking 2 j.
1/11
Calculate prob of picking 1 r and 1 z when two letters picked without replacement from rrrzrzrr.
3/7
|
{
"pile_set_name": "DM Mathematics"
}
|
eater: -2/9 or -1309?
-2/9
Which is greater: -99 or -0.2?
-0.2
Is 1/1783 at least as big as 1?
False
Which is smaller: -28 or -29?
-29
Which is greater: -46 or -86?
-46
Which is greater: -105 or -106?
-105
Is -42752/9 less than -4751?
False
Which is greater: 0 or 2.3?
2.3
Is -223/5 bigger than 2?
False
Which is smaller: -164/5 or -32?
-164/5
Which is greater: -931 or 0.02?
0.02
Is 5853/7 at most 837?
True
Which is smaller: -0.09 or 0.097?
-0.09
Which is bigger: 7031 or 7032?
7032
Is -64297 at most -64297?
True
Which is greater: -4/27 or 1/10?
1/10
Which is bigger: 0.107 or -4?
0.107
Do -114 and -1022/9 have the same value?
False
Are 2/519 and 1 non-equal?
True
Is -409 less than -409?
False
Is 0.1 at least as big as -3/6925?
True
Which is smaller: -24 or 3?
-24
Is 11/221 <= 0?
False
Which is smaller: -9 or -86/9?
-86/9
Is -14/667 bigger than -1?
True
Which is smaller: 2/5 or -152?
-152
Which is smaller: 408/91 or 3?
3
Is 347 bigger than 332?
True
Is -220 not equal to -220?
False
Is 4169/2 at least 2085?
False
Is 363 smaller than 365?
True
Which is smaller: -123 or 2/5?
-123
Is -1063.8 > -2/3?
False
Is -4/7 less than 2?
True
Which is greater: -2396 or -2394?
-2394
Is 2/7 <= -1064?
False
Which is smaller: -31 or -25?
-31
Is 37/559 less than 1?
True
Is 1 != 9/245?
True
Are -2 and 423/7 equal?
False
Is -8 <= -14?
False
Which is greater: 893 or 2?
893
Is 1 less than 3/1771?
False
Does -1544 = -1538?
False
Which is smaller: -12 or -148?
-148
Is -14 greater than -50?
True
Is 1 < 1/10589?
False
Is 207 < 2?
False
Is 120 smaller than 120?
False
Which is smaller: 8 or 82/9?
8
Are -2/7 and -0.19 equal?
False
Is -9 > 33?
False
Which is greater: 2516 or -1?
2516
Which is greater: 6.42 or 0.1?
6.42
Which is greater: -331 or -330?
-330
Which is greater: -177 or -64?
-64
Which is smaller: -2/9 or 43?
-2/9
Which is smaller: 10621 or 10622?
10621
Which is greater: 0.31 or -2?
0.31
Which is smaller: 187 or -1.7?
-1.7
Which is smaller: -0.2 or 2/1065?
-0.2
Is 0 smaller than -3/406?
False
Which is bigger: 8 or 52?
52
Which is smaller: -1/2387 or 1?
-1/2387
Which is bigger: -702 or -703?
-702
Which is greater: -543/17 or -33?
-543/17
Is 2.623 > -2/3?
True
Is 1869 at least as big as 1861?
True
Which is greater: 6 or 612/5?
612/5
Is -1 less than -8/57?
True
Which is smaller: 190 or -5?
-5
Which is greater: 134/35 or 4?
4
Do 233 and 698/3 have different values?
True
Is -3/266 less than or equal to 0?
True
Which is smaller: 0 or 309?
0
Is -8 greater than 163?
False
Is 9 at least 6?
True
Is -0.1 at least as big as 14.3?
False
Which is greater: 185 or 174?
185
Is -1/4 greater than 774?
False
Is -265 equal to -18/17?
False
Which is smaller: 3.7 or -7?
-7
Is 1 at most as big as 12?
True
Which is greater: 352 or -9?
352
Which is smaller: 53 or 13?
13
Do -863/2 and -431 have different values?
True
Is -1675 > -1677?
True
Are -59 and 14 unequal?
True
Are -191 and -186 equal?
False
Which is bigger: 31/6 or 6?
6
Do -4565/2 and -2283 have the same value?
False
Which is smaller: 10 or 5?
5
Is 1 >= -5/3259?
True
Is 0 at most as big as -2/13931?
False
Which is smaller: -9/19 or 0.03?
-9/19
Which is bigger: 7/58 or 0?
7/58
Which is greater: 1 or -8/121?
1
Are -83 and -21 non-equal?
True
Which is bigger: -1/34 or 1?
1
Which is smaller: 46 or 53?
46
Which is smaller: 2/5 or 384/11?
2/5
Is 18/67 != -5?
True
Which is smaller: 0 or -140/387?
-140/387
Which is bigger: -24592 or -24591?
-24591
Are 492 and 492 nonequal?
False
Which is smaller: -0.4 or -0.0124?
-0.4
Which is smaller: 580 or 581?
580
Does -1/603 = 0?
False
Is 1 <= -4/57?
False
Is -10 bigger than -39/5?
False
Is -1389 greater than -1389?
False
Which is bigger: -4926 or 1?
1
Do 1/43 and -2/9 have different values?
True
Which is smaller: -0.213 or 10?
-0.213
Are 55/64 and 1 equal?
False
Which is greater: -19 or -314/17?
-314/17
Do 1/2 and 12 have different values?
True
Is -25068 less than -25068?
False
Which is greater: 2/51 or 3/5?
3/5
Which is smaller: 6 or 8?
6
Which is greater: -2858 or -11431/4?
-11431/4
Do -2 and -0.13 have the same value?
False
Which is smaller: 6 or -3?
-3
Which is bigger: -164 or -167?
-164
Is 127/25 less than 1?
False
Which is smaller: -1301 or -1303?
-1303
Is 49 equal to -2?
False
Is 5 <= 332/81?
False
Which is bigger: 252 or 249?
252
Which is bigger: 14/37 or -1?
14/37
Which is smaller: 1/3918 or -1?
-1
Which is greater: 194 or 191?
194
Does -3 = -1456?
False
Which is smaller: -989/2 or -2?
-989/2
Which is smaller: 1 or 4/517?
4/517
Is -629 < -626?
True
Which is smaller: 1182 or 1181?
1181
Which is smaller: 2/20201 or -1?
-1
Is 149 less than 1041/7?
False
Is 0 at most as big as 9/20?
True
Do 1 and 10/73 have different values?
True
Do 75/98 and 1 have the same value?
False
Is -2 at most -188/175?
True
Is 346 greater than or equal to 355?
False
Which is smaller: -1 or -2/1311?
-1
Which is greater: 36 or -25?
36
Is 511 less than or equal to 515?
True
Which is bigger: 51 or -4/9?
51
Which is smaller: -25 or 110?
-25
Is -4/849 at most 0?
True
Is 450 > 448?
True
Which is smaller: -1/158 or 1?
-1/158
Which is greater: -5 or 5?
5
Are 4 and 0.06 nonequal?
True
Are 0.04 and 4.308 non-equal?
True
Which is smaller: 0.95 or 98?
0.95
Is -2 <= -142/91?
True
Is 105 less than 103?
False
Is 0.1 smaller than 3?
True
Is -1573 less than -4720/3?
False
Which is smaller: -1/11 or -0.259?
-0.259
Is 384 equal to 383?
False
Which is bigger: -37/14 or -2?
-2
Which is greater: 1 or 9/385?
1
Are 8.9 and -0.2 non-equal?
True
Is -23 < -22?
True
Is 0.021 smaller than -30/19?
False
Which is smaller: 375 or 1?
1
Which is smaller: -0.027 or -0.3?
-0.3
Which is smaller: -1 or 1/46?
-1
Which is smaller: 1883 or 1878?
1878
Does -1 = -67/150?
False
Which is smaller: 0 or 10971?
0
Which is smaller: 13 or 10?
10
Do 218 and 218 have different values?
False
Is 0.25 > -1631?
True
Which is smaller: -0.01 or 24?
-0.01
Which is smaller: 0.01 or -168?
-168
Is 1128 at most 1126?
False
Is 1 not equal to -2/633?
True
Which is smaller: 1196 or 1197?
1196
Which is bigger: 1 or -5/89?
1
Is 5019 greater than or equal to 5019?
True
Is -5/321 at most 1?
True
Is 1/3 bigger than 0.913?
False
Do -2/455 and -1 have the same value?
False
Which is smaller: 5 or 28/3?
5
Which is greater: 236/31 or 8?
8
Are 0.1 and 1.92 unequal?
True
Does -7011 = -7008?
False
Is 2 greater than or equal to 1090?
False
Which is smaller: 1 or 4/183?
4/183
Which is bigger: 30/1037 or 0?
30/1037
Is -10556 less than or equal to -10554?
True
Which is smaller: 2/7 or -1065?
-1065
Which is smaller: 246 or 241?
241
Is -1 at least as big as -1/74?
False
Which is smaller: 200 or 199?
199
Is 0 >= 0.0396?
False
Do 1527/4 and 383 have the same value?
False
Which is greater: -2/3 or 395?
395
Which is smaller: -5 or 3/40?
-5
Are 3/319 and -1 unequal?
True
Is 1258 equal to 1258?
True
Are -1 and -52/25 non-equal?
True
Is -36/85 greater than 2/33?
False
Are -42/17 and -2 nonequal?
True
Does -40 = -40?
True
Are -40/11 and -5 unequal?
True
Are -4/3 and 2485 unequal?
True
Is 100 at least 2/83?
True
Is 469 at most 471?
True
Is 5/2 at most 2.9?
True
Which is smaller: -39/128 or 1?
-39/128
Which is smaller: 4 or -76?
-76
Which is smaller: 59/4 or 16?
59/4
Which is smaller: 3135 or -0.1?
-0.1
Which is greater: -2/5 or 3618?
3618
Is -22/15 at most -1?
True
Which is smaller: -11/2961 or 0?
-11/2961
Which is greater: -16 or -17?
-16
Is 4 bigger than 6?
False
Do 14 and 77/6 have the same value?
False
Is -1351 < -1351?
False
Do 234 and 0 have the same value?
False
Is 397/5 < 80?
True
Which is bigger: -19039 or -19038?
-19038
Which is greater: 0.1 or -47/84?
0.1
Which is smaller: 40/267 or 0?
0
Which is greater: -1 or 2/57643?
2/57643
Which is bigger: 1/3835 or 1?
1
Is 3 > -4/935?
True
Is 70902 bigger than 70903?
False
Is -2 > -1434?
True
Which is bigger: -2/2381 or -1?
-2/2381
Is -10 smaller than -62/7?
True
Which is greater: -471 or -2?
-2
Which is bigger: 0 or 30?
30
Do -1 and -1/19835 have the same value?
False
Is 3071 >= 3071?
True
Which is smaller: -549 or -1?
-549
Is -10 at least -32/3?
True
Is -1/78 less than or equal to -1?
False
Which is smaller: -5/101 or -1?
-1
Is 10 at least -112?
True
Are 3 and -12 nonequal?
True
Is 0 equal to 102/163?
False
Which is smaller: -56 or -186?
-186
Which is bigger: -4
|
{
"pile_set_name": "DM Mathematics"
}
|
t is 274 minutes before 9:10 PM?
4:36 PM
How many minutes are there between 3:45 AM and 10:30 AM?
405
What is 111 minutes before 6:01 AM?
4:10 AM
What is 480 minutes after 11:17 AM?
7:17 PM
What is 171 minutes after 8:24 PM?
11:15 PM
What is 236 minutes before 10:59 AM?
7:03 AM
How many minutes are there between 10:00 PM and 7:38 AM?
578
What is 462 minutes before 8:54 PM?
1:12 PM
What is 20 minutes after 5:14 PM?
5:34 PM
What is 481 minutes before 1:58 AM?
5:57 PM
How many minutes are there between 2:21 AM and 3:20 AM?
59
How many minutes are there between 7:49 AM and 4:10 PM?
501
How many minutes are there between 12:11 PM and 9:14 PM?
543
How many minutes are there between 6:59 PM and 7:53 PM?
54
How many minutes are there between 2:40 PM and 9:49 PM?
429
How many minutes are there between 7:41 PM and 8:37 PM?
56
How many minutes are there between 2:55 PM and 1:39 AM?
644
How many minutes are there between 3:51 PM and 6:25 PM?
154
What is 89 minutes before 7:27 PM?
5:58 PM
What is 344 minutes before 7:04 AM?
1:20 AM
What is 303 minutes before 12:23 AM?
7:20 PM
What is 681 minutes before 11:17 PM?
11:56 AM
What is 325 minutes after 10:16 AM?
3:41 PM
What is 315 minutes before 6:34 PM?
1:19 PM
What is 453 minutes before 7:56 PM?
12:23 PM
What is 504 minutes after 7:49 PM?
4:13 AM
What is 539 minutes after 4:46 PM?
1:45 AM
How many minutes are there between 9:29 AM and 4:15 PM?
406
How many minutes are there between 8:20 AM and 8:14 PM?
714
How many minutes are there between 1:56 AM and 9:38 AM?
462
How many minutes are there between 7:42 AM and 1:14 PM?
332
What is 472 minutes after 10:32 PM?
6:24 AM
How many minutes are there between 2:03 PM and 5:04 PM?
181
How many minutes are there between 4:57 PM and 5:07 PM?
10
How many minutes are there between 6:28 AM and 11:55 AM?
327
How many minutes are there between 11:11 AM and 7:03 PM?
472
How many minutes are there between 7:26 AM and 5:57 PM?
631
How many minutes are there between 6:47 PM and 11:12 PM?
265
What is 467 minutes after 6:33 AM?
2:20 PM
What is 63 minutes before 10:52 AM?
9:49 AM
How many minutes are there between 1:39 PM and 11:27 PM?
588
How many minutes are there between 6:19 AM and 2:56 PM?
517
How many minutes are there between 8:44 PM and 8:53 PM?
9
How many minutes are there between 4:10 AM and 5:38 AM?
88
How many minutes are there between 2:00 PM and 6:49 PM?
289
How many minutes are there between 11:21 AM and 10:40 PM?
679
What is 687 minutes before 2:10 PM?
2:43 AM
What is 36 minutes after 4:08 AM?
4:44 AM
What is 685 minutes before 6:18 PM?
6:53 AM
How many minutes are there between 5:23 PM and 7:18 PM?
115
How many minutes are there between 10:53 PM and 8:36 AM?
583
How many minutes are there between 9:58 PM and 10:17 PM?
19
What is 585 minutes before 1:24 PM?
3:39 AM
How many minutes are there between 4:50 PM and 5:28 PM?
38
What is 36 minutes after 3:27 AM?
4:03 AM
What is 360 minutes before 10:26 AM?
4:26 AM
How many minutes are there between 2:53 PM and 12:39 AM?
586
What is 254 minutes after 3:41 PM?
7:55 PM
What is 706 minutes after 3:03 PM?
2:49 AM
What is 243 minutes after 4:00 AM?
8:03 AM
What is 702 minutes after 12:06 AM?
11:48 AM
What is 236 minutes before 2:13 PM?
10:17 AM
How many minutes are there between 3:31 AM and 11:41 AM?
490
What is 12 minutes after 7:55 AM?
8:07 AM
How many minutes are there between 12:15 AM and 9:59 AM?
584
How many minutes are there between 7:38 AM and 9:14 AM?
96
What is 585 minutes before 2:34 PM?
4:49 AM
What is 165 minutes after 4:06 PM?
6:51 PM
What is 366 minutes before 2:52 AM?
8:46 PM
What is 693 minutes before 9:10 AM?
9:37 PM
How many minutes are there between 6:48 AM and 3:13 PM?
505
What is 627 minutes after 7:26 PM?
5:53 AM
How many minutes are there between 5:03 PM and 5:53 PM?
50
How many minutes are there between 8:47 PM and 12:14 AM?
207
How many minutes are there between 4:42 PM and 1:59 AM?
557
How many minutes are there between 9:49 PM and 5:39 AM?
470
What is 101 minutes after 1:09 PM?
2:50 PM
What is 289 minutes before 11:04 AM?
6:15 AM
What is 249 minutes before 12:49 PM?
8:40 AM
How many minutes are there between 12:47 PM and 11:10 PM?
623
What is 624 minutes before 5:11 PM?
6:47 AM
What is 707 minutes after 12:55 PM?
12:42 AM
How many minutes are there between 4:21 PM and 12:49 AM?
508
How many minutes are there between 11:34 PM and 11:21 AM?
707
How many minutes are there between 7:14 PM and 1:30 AM?
376
How many minutes are there between 1:30 PM and 11:19 PM?
589
What is 691 minutes after 8:31 AM?
8:02 PM
How many minutes are there between 7:21 PM and 7:10 AM?
709
How many minutes are there between 5:49 PM and 8:22 PM?
153
What is 203 minutes after 6:28 PM?
9:51 PM
How many minutes are there between 4:48 AM and 7:53 AM?
185
What is 132 minutes after 5:15 PM?
7:27 PM
How many minutes are there between 4:06 PM and 4:05 AM?
719
How many minutes are there between 11:51 AM and 2:12 PM?
141
What is 462 minutes after 8:11 AM?
3:53 PM
What is 505 minutes after 9:15 PM?
5:40 AM
What is 152 minutes after 9:46 PM?
12:18 AM
How many minutes are there between 8:43 AM and 7:40 PM?
657
How many minutes are there between 2:01 PM and 1:05 AM?
664
How many minutes are there between 1:31 AM and 4:18 AM?
167
How many minutes are there between 3:09 AM and 8:50 AM?
341
What is 9 minutes after 9:50 PM?
9:59 PM
How many minutes are there between 8:12 AM and 1:25 PM?
313
How many minutes are there between 3:08 AM and 5:42 AM?
154
What is 688 minutes before 5:54 PM?
6:26 AM
What is 552 minutes after 12:22 PM?
9:34 PM
How many minutes are there between 7:45 AM and 8:47 AM?
62
What is 559 minutes before 11:27 PM?
2:08 PM
What is 144 minutes before 1:59 PM?
11:35 AM
What is 171 minutes after 4:03 PM?
6:54 PM
How many minutes are there between 1:02 PM and 10:54 PM?
592
What is 617 minutes after 12:51 PM?
11:08 PM
How many minutes are there between 3:17 PM and 8:41 PM?
324
How many minutes are there between 2:23 PM and 1:43 AM?
680
What is 405 minutes after 8:25 PM?
3:10 AM
How many minutes are there between 7:34 PM and 7:14 AM?
700
What is 51 minutes after 11:52 AM?
12:43 PM
What is 675 minutes before 10:17 AM?
11:02 PM
How many minutes are there between 8:30 PM and 4:53 AM?
503
What is 204 minutes after 7:45 PM?
11:09 PM
What is 149 minutes after 12:46 PM?
3:15 PM
How many minutes are there between 12:24 PM and 7:23 PM?
419
How many minutes are there between 9:03 AM and 9:51 AM?
48
What is 492 minutes before 6:10 AM?
9:58 PM
What is 4 minutes before 9:44 PM?
9:40 PM
How many minutes are there between 8:00 AM and 9:38 AM?
98
What is 546 minutes after 5:39 AM?
2:45 PM
What is 207 minutes after 12:27 AM?
3:54 AM
What is 2 minutes before 8:39 PM?
8:37 PM
What is 680 minutes before 10:42 AM?
11:22 PM
What is 82 minutes before 6:12 AM?
4:50 AM
How many minutes are there between 1:20 PM and 4:11 PM?
171
What is 564 minutes before 9:25 PM?
12:01 PM
How many minutes are there between 6:47 AM and 12:02 PM?
315
What is 520 minutes after 6:36 PM?
3:16 AM
What is 682 minutes after 10:45 PM?
10:07 AM
What is 419 minutes after 8:05 AM?
3:04 PM
What is 652 minutes before 2:59 AM?
4:07 PM
What is 298 minutes before 10:26 AM?
5:28 AM
How many minutes are there between 9:56 AM and 2:42 PM?
286
How many minutes are there between 2:42 PM and 11:54 PM?
552
What is 690 minutes after 2:07 PM?
1:37 AM
How many minutes are there between 10:52 PM and 7:04 AM?
492
What is 123 minutes after 7:47 PM?
9:50 PM
How many minutes are there between 8:42 PM and 3:32 AM?
410
What is 341 minutes before 5:38 PM?
11:57 AM
What is 337 minutes before 11:15 PM?
5:38 PM
What is 388 minutes before 5:46 PM?
11:18 AM
How many minutes are there between 7:01 AM and 12:16 PM?
315
How many minutes are there between 7:59 AM and 12:50 PM?
291
How many minutes are there between 2:26 PM and 10:05 PM?
459
What is 398 minutes after 12:04 AM?
6:42 AM
What is 612 minutes before 12:38 AM?
2:26 PM
What is 318 minutes after 5:49 PM?
11:07 PM
How many minutes are there between 2:24 AM and 9:20 AM?
416
What is 676 minutes before 5:37 AM?
6:21 PM
How many minutes are there between 4:59 AM and 9:50 AM?
291
What is 508 minutes before 9:26 AM?
12:58 AM
What is 685 minutes after 9:39 PM?
9:04 A
|
{
"pile_set_name": "DM Mathematics"
}
|
culate the greatest common factor of 539 and f.
49
Suppose 101 = u - 12. Let k = 130 - u. Calculate the greatest common factor of 136 and k.
17
Let y = 3628 - 3572. Calculate the highest common factor of y and 32.
8
Suppose 593 = 5*k + c, -129*k + 125*k = -4*c - 508. Let a(q) = -q**3 - 2*q**2 - q. Let u be a(-4). What is the greatest common factor of k and u?
12
Let m(t) = -t**2 - 7*t - 5. Let g be m(-5). Let c = 676 + -673. Suppose 3*h - 120 = -3*v, 0 = 5*v + c*h - 188 - 2. What is the highest common factor of g and v?
5
Let z(y) = -2*y**3 + 44*y**2 - 15*y - 130. Let w be z(21). Let k = 38 + -19. Calculate the greatest common factor of k and w.
19
Let c be (106/1 - 2) + -3 + -1. Suppose -2*n + c = z + 4*z, 3*z - 46 = -4*n. Suppose -26*y + z*y = -8. Calculate the greatest common divisor of y and 5.
1
Suppose 162 - 393 = -3*m. Let a be (-3 - (-275)/m)/(4/98). Calculate the highest common factor of 322 and a.
14
Suppose 14*p - 70 = 28. Let s be 44 - (5/(-5) + (3 - p)). What is the highest common divisor of s and 7?
7
Let v(q) = q**2 - 46*q + 93. Let j be v(44). Let w = -2 - -5. Suppose -3*k + 267 = w*t, j*t = 2*k + 2*k + 454. Calculate the highest common divisor of 10 and t.
10
Suppose j + 0*j = 81. Suppose -z - 4*x = -48 - 36, 0 = -z - 5*x + j. Let w be (-4)/8 - (-3 - (-228)/(-24)). Calculate the greatest common divisor of w and z.
12
Suppose -163*d - 180 = -506. Calculate the highest common factor of d and 334.
2
Let n be ((-88)/20)/(2/(-20)). Let v be 9 + -5 + (-2 - 43). Let a = n + v. Calculate the highest common divisor of a and 9.
3
Suppose -68*t + 40 = -60*t. Suppose -t*x + 148 = -5*y + 43, -5*x + 125 = -y. What is the highest common factor of x and 286?
26
Let h = -66 + 80. Suppose -22 = h*o - 3*o. Let n be (o*1)/(10/(-90)). What is the greatest common factor of n and 162?
18
Let j be (156/(-5))/((-63108)/2520 + 25). What is the highest common factor of 91 and j?
91
Let h(y) = 851*y**2 - 3*y - 3. Let g be h(-1). Calculate the greatest common divisor of 115 and g.
23
Let p be (6/(-4))/((-24)/48). Let y be p/30*15 + 110/4. Calculate the highest common factor of y and 377.
29
Let l(k) = k. Let c(h) = -2*h**3 + 13*h**2 + 8*h. Let q(d) = c(d) - 4*l(d). Let z be q(6). What is the highest common divisor of z and 24?
12
Let u(d) = -d**3 - 15*d**2 + 6*d + 111. Let p be u(-15). What is the greatest common divisor of 2541 and p?
21
Let s(y) = 9*y**2 + 35*y + 9. Let r be s(-4). Let j(v) = -27*v + 8. Let z be (2/(-3))/(6/45). Let a be j(z). Calculate the greatest common divisor of a and r.
13
Suppose -6 = 4*p - 2. Let q be 19/(-2)*(-1 + p). Let a(k) = 1924*k - 5715. Let z be a(3). Calculate the highest common factor of q and z.
19
Suppose 0 = -10*n + 173 + 267. Let k be (n/8 + -4)*12/9. What is the greatest common factor of 34 and k?
2
Suppose 4*n + 4*z - 552 = 0, 324*n - 328*n = -z - 527. Calculate the greatest common factor of n and 95.
19
Let z be 26/(-10) + 2 - 1808/(-5). Let q(x) = -2*x**3 - 5*x**2 - 5*x - 5. Let f be q(-3). Calculate the greatest common divisor of f and z.
19
Let g(b) = -152*b - 100. Let m be g(-1). Calculate the greatest common factor of m and 988.
52
Suppose -37*v + 44*v = 84. Let z(r) be the first derivative of r**2/2 + 10*r - 2. Let f be z(-6). Calculate the greatest common factor of f and v.
4
Suppose -6*f + 30*f - 106847 - 95041 = 0. Calculate the greatest common factor of 24 and f.
12
Suppose -998 = -39*v - 62. Calculate the greatest common divisor of 116 and v.
4
Let x(n) = 3*n**2 + 3*n + 18. Let p = 35 - 32. Suppose -p*u + 2*y = 4*y - 23, 5*u - 21 = y. Let k be x(u). What is the highest common divisor of 12 and k?
12
Let z(x) = -2*x**2 + 18*x - 41. Let v be z(5). Let c be ((-6)/((-30)/(-275)))/v. Calculate the highest common divisor of c and 88.
11
Let n be (75 - 72)/((-4)/(-30)*(-15)/(-6)). Suppose 2*u + 3*h = 393, -2*h + 85 - 264 = -u. Calculate the greatest common divisor of n and u.
9
Let v(y) = 2*y**3 - 70*y**2 - 73*y + 45. Suppose -3*f = 5*h - 103, 2*f + 2*h - 69 = 1. Let u be v(f). Calculate the greatest common divisor of u and 99.
9
Let l(q) = 213*q - 7908. Let u be l(42). Calculate the greatest common divisor of 22 and u.
2
Let z be -7*(-1 + 3 + 3/(-3)). Let f be z/(-2)*60/35. Let v be (-32)/(-6)*27/f. What is the greatest common divisor of v and 168?
24
Suppose -992 = -48*y + 256. Calculate the greatest common factor of y and 8385.
13
Let r(f) = -34*f - 1590. Let s be r(-55). What is the greatest common divisor of s and 945?
35
Let o be ((-39)/(-5))/(-9 + 644/70). Let h = 42 + 49. What is the greatest common factor of o and h?
13
Let f = -1504 + 2024. Calculate the greatest common divisor of 1352 and f.
104
Suppose -4*q - 22 = -3*m, -71*q = 3*m - 68*q - 15. Calculate the greatest common factor of m and 192.
6
Suppose f - 6*f + 6 = -4*l, 1 = l. Let d(o) = 7*o**2 - 9*o**2 + 12*o**2 - 7*o + 8*o - 1 + f*o**3. Let q be d(-4). What is the highest common divisor of q and 9?
9
Suppose -2 = -g, 5*g + 250 = -3*b + 572. Calculate the greatest common factor of 1296 and b.
8
Let a be 12/(-15)*25/(-2). Suppose 0 = -2*p - 3*g + g + 16, g - 16 = -3*p. Let h be 5/(p - ((0 - -1) + 2)). What is the greatest common divisor of h and a?
5
Suppose 1284 = -4*j - g + 10285, -3*j + 6749 = -g. Calculate the highest common divisor of 135 and j.
45
Suppose 0 = w - 4*w + 15. Let x = 29 - 13. Suppose -x*u + w*u + 132 = 0. Calculate the highest common divisor of 6 and u.
6
Let b = -148 + 182. Suppose -b*d - 54 = -40*d. What is the greatest common divisor of 225 and d?
9
Suppose 38*g - 28 = 34*g. Suppose -g*h + 0*h = -889. Suppose 165 = v + 2*v + q, -2*v = -5*q - h. Calculate the highest common divisor of v and 28.
28
Let x(v) = 19*v**3 - 2*v**2 + 4*v - 8. Let g be x(2). Let b = 153 - g. Calculate the greatest common factor of 27 and b.
9
Suppose t - 4*f - 11 = 20, -88 = -4*t + 4*f. Suppose 3*y + 7 = t. Suppose -y*p = -47 - 85. What is the highest common factor of p and 264?
33
Let f(d) = 114*d - 614. Let i be f(9). Calculate the highest common factor of i and 5150.
206
Let t be 9504/11*((-4305)/(-150) - 6/5). What is the greatest common divisor of t and 11?
11
Suppose -4*j - 3*g + 214 = 0, -4*g = -3*g + 2. Let o = -145 + 156. Calculate the highest common divisor of j and o.
11
Suppose 3*t = 7*t - 16. Let v = 72 + -52. Suppose 3*j = 5*j - 2*n - v, -t*j + 2*n = -40. What is the greatest common divisor of 70 and j?
10
Suppose -15 = -5*f + 30. Suppose 38*d - 93554 = -92870. What is the greatest common divisor of f and d?
9
Let v be (-2)/(-20)*-2*92/((-3496)/5130). Calculate the highest common factor of 5328 and v.
9
Let l be 140/(-6)*(-2376)/231. Let r = -199 + 329. Let v = l - r. What is the highest common divisor of 10 and v?
10
Let o(z) = -20*z - 64. Let i be o(-2). Let c = i + 141. Calculate the highest common divisor of 91 and c.
13
Let v(y) = -34*y**3 - 102*y**2 - 17*y + 2. Let t be v(-4). What is the highest common factor of 12587 and t?
307
Suppose 0 = 25*x - 12882 + 57. Let s(d) = -17*d - 92. Let p be s(-7). What is the greatest common factor of p and x?
27
Let t(q) = -q**2 + 15*q - 50. Let m = 85 + -78. Let b be t(m). What is the greatest common factor of b and 138?
6
Suppose -4*p + 0*p + 1 = 5*i, 3*p = i + 15. Suppose p*d + 3*h + h - 96 = 0, -116 = -5*d - 3*h. What is the highest common divisor of d and 143?
11
Suppose -121 - 191 = -13*q. Suppose -2*j + 12 = -q. What is the greatest common factor of j and 144?
18
Let b = -77 - -10227. Let q be b/30 + 2/(-6). What is the highest common factor of 26 and q?
26
Let n(o) = 16*o - 109. Let q(j) = 2. Let k(v) = -n(v) + 7*q(v). Let d be k(2). What is the highest common divisor of d and 49?
7
Let b(l) = l - 1. Let p be b(0). Let r be ((4/3)/p)/(3/126). Let j = 60 + r. What is the highest common factor of 16 and j?
4
Suppose -78*c - 27384 = -85*c. Suppose -2*u + 5*m + 2800 = 0, m + c + 1688 = 4*u. Calculate the highest common divisor of u and 25.
25
Let z(r) = 20*r - 208. Let c be z(37). Let h be 75/2 - 6/(-12). Calculate the highest common divisor of c and h.
38
Let g be (-12)/5*(4275/114)/(18/(-8)). Calculate the greatest common divisor of g and 10460.
20
Suppose 2*u = -7*u + 45. Suppose 224 = 5*v - 4*x, 3*x + u = -2*x. What is the highest common factor of v and 4?
4
Let d be -9 + (3398
|
{
"pile_set_name": "DM Mathematics"
}
|
= -z*g for g.
3
Let r = 220 + -215. Solve -12*u = -r*u - 28 for u.
4
Let b be (-3 - -7)/(44/77). Solve 14 = -7*h - b for h.
-3
Let r = -4 - -6. Suppose r*y - 3 = -y. Let k be 0/(2 + -4 - y). Solve -s + 2 = -k for s.
2
Let d be (2*2 + 2)*(-40)/(-240). Solve 0 = -4*h + d - 9 for h.
-2
Let a(h) = h**2 + 12. Let r be ((4 + -4)*1/1)/(-1). Let k be a(r). Solve 0 = 8*g - k*g for g.
0
Let r be -2 + 216/104 - (-1)/(-13). Let w = -4 - -16. Suppose -4*b - 3*q + 32 = 0, -4*b + 2*q + w = -0*q. Solve -b*z - 10 = -r*z for z.
-2
Let c(r) = 70*r**2. Let u be c(-1). Suppose 7*p + u = 2*p. Let j = p - -16. Solve -j*b = b for b.
0
Suppose -6 = -2*m - 2. Suppose -1 = k - m. Suppose -2*l - 5 = -4*h + 1, -k = -3*l + h. Solve -3*i + 4*i + l = 0 for i.
-1
Suppose -6*r + 1675 - 1651 = 0. Solve f = 7 - r for f.
3
Suppose -5*v + 91 = 3*a, -14 = 4*v - 4*a - 106. Let n = v + -17. Solve n*l = 2*l for l.
0
Let n = 965 + -950. Solve -n*s = -23*s - 16 for s.
-2
Let b = -354 - -356. Solve -7*s = -b*s for s.
0
Let h(z) = -2*z**3 - 3*z**2 + 2*z - 1. Let o be h(-3). Suppose f - 2*f + 2 = 0, 2*f = 4*x - o. Suppose -6 = 3*c - x*c. Solve c*k + 3*k = -10 for k.
-2
Let h = 1538 - 1536. Solve 2*l + h = -8 for l.
-5
Let i(r) = -2*r**2 + 11*r + 8. Let h be i(6). Solve -h = 139*t - 140*t for t.
2
Let q = -19 + 24. Let a(w) = 4*w**2 - 5*w - 2. Let l be a(3). Solve q*d - l = -4 for d.
3
Suppose b - d - 2*d = 0, 0 = -2*b + 3*d + 3. Solve 0*c = b*c for c.
0
Let o be (1/4)/(10/200). Let n(a) = a**3 - 13*a**2 + 12*a. Let c be n(12). Suppose -2*k + 4*k + 2*d = 0, c = -o*k - 4*d. Solve k*i - 10 = 5*i for i.
-2
Suppose 3*v = 4*v - 13. Suppose -i - 1 = 3, -2*i - v = -o. Let t be 5/40*20*2. Solve t = 5*x - o for x.
2
Suppose 9*k + 12*k - 63 = 0. Let q be 24/(-96) + 18/8. Solve q*v = k*v for v.
0
Let m = -44 - -29. Let a = m - -20. Solve 0 = a*l + 1 + 24 for l.
-5
Let z be (-4)/10*(-3 - 7). Suppose -7*j + 15 = -6*j. Solve -g + z*g = -j for g.
-5
Suppose 0*n + 160 = -5*n. Let y = n - -34. Suppose -y = -c - 0*c. Solve -o - c*o + 3 = 0 for o.
1
Let i be 4 + 6 + -9 - (2 - 4). Solve i*p - 9*p = -12 for p.
2
Let s(a) = -6*a + 11. Let l be s(0). Suppose -14 = -v - l. Solve 2*j + v*j = -25 for j.
-5
Let n(g) = 2*g + 21. Let s be n(-8). Solve -s*t = -t + 12 for t.
-3
Suppose -o - 2*p = -16, -o + 2*o = p + 13. Suppose o*m - 10*m = 0. Solve -4*r + 8*r = m for r.
0
Suppose -4 = x, -3*q - 2*x + 4 = -0*x. Let b be -10*(3 + 14/(-4)). Solve m - b = -q*m for m.
1
Let w(h) be the first derivative of h**2/2 - 6*h + 26. Let z be w(8). Solve -d + 15 = z*d for d.
5
Let c be (3 + -1 + -2)/(-1 - 0). Solve 5*j = -c*j for j.
0
Let d = 18 - 9. Let j be (5/2)/(-12*20/(-192)). Solve j*p + d = -1 for p.
-5
Let n = -3 + 19. Let o = n - -19. Suppose -m + 0 = 5*b + 13, 5*m = -5*b + o. Solve 5*q + m = -13 for q.
-5
Let n(s) = s**3 - 12*s**2 - 12*s - 11. Let k be n(13). Solve -6 = -k*r - 6 for r.
0
Suppose -c + 2 = -0. Suppose c = -2*k + 10. Solve -k*l + 1 = 9 for l.
-2
Suppose -9 = 3*q - 4*q. Suppose -10 = -50*s + 45*s. Solve a = -s*a - q for a.
-3
Suppose 24 = -431*d + 437*d. Suppose -n - 59 = -4*r - 2*n, -r + 4*n + 36 = 0. Solve 0 = -d*h + r for h.
4
Let x(s) = 57*s**3 + s**2 - 3*s + 3. Let q be x(1). Solve 2*v - 54 = -q for v.
-2
Suppose 5 = 4*s + s. Suppose 3*o - s = 11. Suppose -28 = -o*i - 3*c - c, i - c = 1. Solve 0*b = -2*b - i for b.
-2
Let z be (-3)/15 - (-66)/30. Suppose 5*o - 4*j = 12, 0 = z*j - 0 - 4. Solve -1 = 3*h - o for h.
1
Suppose 0 = h + 11 - 18. Let b be (-22)/(-6) + -3 - h/(-21). Let c = -13 + 19. Solve f = c - b for f.
5
Let k be (-2658)/(-126) - (-18)/(-189). Solve -k = -6*o + 3 for o.
4
Let c(q) = q - 2. Let k = 20 + -16. Let g be c(k). Suppose -g*u - 26 = -30. Solve -3*l - 15 = u*l for l.
-3
Let t(c) = -c**2 + 7*c - 7. Let u be t(4). Suppose u*g - 25 = -5*q, 0*q + 22 = 5*g + 2*q. Solve -3*n + 5*n = -g for n.
-2
Suppose 0*a = -3*a - 3*y, -45 = -4*a + 5*y. Solve -a*i + 0*i = 5*i for i.
0
Let y be (-111)/(-1 - 2)*10/10. Solve -y*z = -32*z + 25 for z.
-5
Suppose -6 = -153*n + 150*n. Suppose g - 4*b = -2*g - 11, -n*g = -b - 1. Solve -8 = -d - g for d.
5
Let t(o) be the first derivative of -1/3*o**3 - o - 1 - 5/2*o**2. Let s be t(-2). Solve -2*d - s = 1 for d.
-3
Let z(i) = -i**3 + 7*i**2 - 4*i - 5. Let m be z(6). Suppose 10 = -3*p + p. Let t = p + m. Solve -a - t = -0 for a.
-2
Let r(q) = 5*q - 5. Let j be r(-6). Let n = j + 35. Solve 4*v + n*v = -16 for v.
-4
Let k be (-2)/(-6) - 1/3. Suppose 7*y - 4*y - 12 = k. Suppose w + y*w - 20 = 0. Solve -u = -0*u - w for u.
4
Let s = -23 - -23. Solve s = -9*i - 0 - 9 for i.
-1
Let k(s) be the third derivative of -s**4/24 - 7*s**3/3 - 7*s**2. Let c be k(-10). Let h be c*1/(-8)*10. Solve 4 = h*n - 11 for n.
3
Suppose -14*m = 6*m - 500. Solve -m = 4*q - 9*q for q.
5
Suppose 2*w = -0*w + 24. Let n(v) = -v + 1. Let y be n(1). Suppose -4*z + 4*j + 32 = y, 0*z - 4*z - 5*j + 5 = 0. Solve o + w = z*o for o.
3
Suppose 12 = -6*y + 24. Solve y*j = -4*j for j.
0
Suppose 3*c + 16 + 1 = 5*o, -5*o - 3*c = -23. Suppose p + 4*w - 3 = w, 0 = o*p + 3*w - 21. Solve -n + 2 = p for n.
-4
Let n(x) = -2*x**3 - 4*x**2 - x + 2. Let s be (9 + -3)/(6/4). Let a(p) = -2*p + 6. Let w be a(s). Let m be n(w). Solve -m*h - 25 = -9 for h.
-4
Let f(s) = -10*s + 475. Let c be f(47). Solve 9*x + c = -13 for x.
-2
Let m = 34 - 31. Suppose 0 = -m*c - 2*c. Solve c = -j - 0*j for j.
0
Let v(k) = 2*k**2 + k + 6. Let c be v(3). Suppose 9 + c = 4*l. Solve 4*z + 7 = -l for z.
-4
Let i(c) = -38*c - 432. Let h be i(-12). Solve 0*u + 6*u = -h for u.
-4
Let o = 50 - 49. Let n be (-1)/o*(5 - 5). Solve n = -j + 1 + 4 for j.
5
Let y be 12/10*(-10)/(-3). Let l(v) = v**2 - 67*v + 420. Let w be l(7). Solve w = -y*g + 3*g for g.
0
Let l(q) = -q**2 - 8*q + 38. Let d be l(-11). Solve d = -3*o - 10 for o.
-5
Suppose 63*q - 21 = 60*q. Let s(x) = 3*x + q + 3*x**2 + x - 9 - 2*x**2. Let u be s(-5). Solve u*t = 6*t + 15 for t.
-5
Let g(q) = -q**2 + 4*q. Let o be 1 + -4 + 8 + -1. Let x be g(o). Let s be (-6)/(-4) - 3/(-6). Solve x = s*f + 2*f for f.
0
Let b = -19 - -22. Suppose 4*n + 3 = -5*m + 33, 3*n = 2*m - 35. Solve -j + m = -b*j for j.
-5
Suppose 0 = 3*x - 15, -x = -5*n - 6*x + 265. Let d be (-6)/9 - n/(-18). Solve -d = -2*l - 0 for l.
1
Let j = 399 + -399. Solve 5*r - 7*r + 8 = j for r.
4
Let t(n) = -n**2 - 3*n - 1. Let l be t(3). Let w = -19 - l. Solve -2*h + 0*h = w for h.
0
Let l = 8 + 4. Let r = 3 + 4. Suppose -2*j - 8 = g, r*j - 5 = 8*j. Solve -g*k - 2*k = -l for k.
3
Let m(y) = 5*y**2 + y - 12. Let r be m(5). Let i = 118 - r. Solve i*v - 3*v + 12 = 0 for v.
4
Let m = 107 + -54. Let o = -53 + m. Solve g + g = o for g.
0
Let t = 133 - 131. Let k = -13 + 6. Let o = k - -10. Solve -t*f + o = -7 for f.
5
Let j be 4/16*(-9 - -9). Solve j = 10*q - 0 + 40 for q.
-4
Suppose -3*i + 199 = 4*x - 137, x = 2*i + 84. Solve 9 - x = 15*t for t.
-5
Let o = 57 + -57. Suppose o = -4*v + 8. Solve -5*w + 8 = -v for w.
2
Suppose 0*v = 3*v + 12, -3*o - 64 = 4*v. Let n = o - -16. Solve 2*m + n*m = 2 for m.
1
Let c(z) = z**3 + 5*z**2 + 5. Let j(n) = n + 4. Let v be j(-4). Suppose 2*b + 3*w + 13 = v, -5*b = w + 40 - 14. Let p be c(b). Solve -p*h + h = 12 for h.
-3
Let q(t) = 7*t**3 + 3*t**2 - 3*t - 1. Let z be q(1). Solve z*d = 8*d - 8 for d.
4
Let d be 6/(-54) - 12/(-108). Solve 3*v + 4*v + 21 = d for v.
-3
Let r(c) = -c**3 + 2*c**2 - 2. Let z be r(2). Let j be ((-10)/(-12))/(z/(-12)). Solve -j = b - 2*b for b.
5
Suppose -66*w + 2*q + 41 = -61*w, 0 = 3*q - 6. Solve -w*g + 56 = 5*g for g.
4
Let n be (42/(-6) + 2)*(-1 - 0). Suppose 6*l = n*l + 2*r - 1, -3*l + 4*r = -1. Solve l = c + 6 for c.
-3
Suppose 2*z = 5*n + 10, -8 = 4*n - 4*z - 0*z. Let c be (2/n)/((-14)/42). Solve c = -0*r + r for r.
3
Let k be (-1 - (-10)/8) + (-435)/12. Let l = -21 - k. Solve 7*m = 4*m + l for m.
5
Let t = 62 - 44. Let b = -15 + t. Solve 0 = 4*c - b*c + 2 for c.
-2
Suppose 2*n + 2 = 38. Suppose 12*g - 6*g = n. Solve -s + g*s = -8 for s.
-4
Let x = 116 + -77. Suppose 3*w = -33 + x. Solve 14 - 4 = -w*o for o.
-5
Suppose -3*i + 129 = 2*k, 4*k = 8*k + i - 253. Solve 0 = 58*m - k*m + 15 for m.
3
Let q be ((-11)/(-5))/((-16)/(-80)). Solve -16*t = -q*t + 15 for t.
-3
Suppose 148 = 6*k - 2*k. Suppose -g + k - 11 = 0. Suppose 2*a - 12 = -2*l, -3*l - a + g = 4*a. Solve -9 = -l*h + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
equence od when two letters picked without replacement from kodkdddkdtdd?
7/132
Three letters picked without replacement from {p: 11, o: 9}. What is prob of sequence opp?
11/76
Three letters picked without replacement from jeerieiiijieeiiiiej. Give prob of sequence eei.
15/323
Three letters picked without replacement from {e: 5, k: 3, i: 3, t: 9}. What is prob of sequence tei?
3/152
What is prob of sequence ok when two letters picked without replacement from {o: 6, u: 1, i: 2, k: 2}?
6/55
Four letters picked without replacement from {g: 7, a: 1, z: 3, c: 1}. What is prob of sequence zzzg?
7/1980
Two letters picked without replacement from lpeplm. What is prob of sequence le?
1/15
Calculate prob of sequence wwtw when four letters picked without replacement from witi.
0
What is prob of sequence eg when two letters picked without replacement from bbebbbeeg?
1/24
Three letters picked without replacement from dddddddddddddddoedd. Give prob of sequence doe.
1/342
Calculate prob of sequence ffp when three letters picked without replacement from {k: 2, d: 1, f: 7, p: 2, h: 6}.
7/408
Calculate prob of sequence ix when two letters picked without replacement from {i: 2, x: 4, r: 2, o: 1}.
1/9
What is prob of sequence fm when two letters picked without replacement from {t: 1, m: 2, e: 1, f: 1}?
1/10
Four letters picked without replacement from {v: 2, t: 1, y: 2, j: 6, k: 3, b: 4}. Give prob of sequence yvvb.
1/4590
What is prob of sequence za when two letters picked without replacement from {a: 1, z: 6, p: 1, e: 1}?
1/12
Two letters picked without replacement from lpvvkdjl. What is prob of sequence vp?
1/28
Two letters picked without replacement from llllllljljljlljjjl. What is prob of sequence jj?
5/51
What is prob of sequence ez when two letters picked without replacement from kzezd?
1/10
What is prob of sequence ywyy when four letters picked without replacement from wwwwwyywwyw?
1/165
What is prob of sequence rwwr when four letters picked without replacement from wwwwwwwwwwwwwwwrwrww?
1/190
Calculate prob of sequence vvi when three letters picked without replacement from {i: 6, m: 2, s: 1, v: 7, f: 4}.
7/190
Two letters picked without replacement from qdddddddddqqqqqq. What is prob of sequence dq?
21/80
Calculate prob of sequence zyy when three letters picked without replacement from yzuuuizzyizzzzzuuiyz.
3/380
Two letters picked without replacement from eehzeqeeq. What is prob of sequence qz?
1/36
Calculate prob of sequence rjrj when four letters picked without replacement from {j: 2, r: 6}.
1/28
Two letters picked without replacement from {e: 7, r: 5}. Give prob of sequence re.
35/132
Calculate prob of sequence hoh when three letters picked without replacement from {o: 1, h: 2}.
1/3
Calculate prob of sequence pgv when three letters picked without replacement from pggvh.
1/30
What is prob of sequence qkyq when four letters picked without replacement from qoekiyq?
1/420
Four letters picked without replacement from {g: 5, n: 9}. What is prob of sequence gggg?
5/1001
Calculate prob of sequence ttt when three letters picked without replacement from {t: 15, z: 4}.
455/969
Four letters picked without replacement from gvzlllvvlllvlgvg. Give prob of sequence gzzl.
0
Four letters picked without replacement from ygqqrylrqllm. What is prob of sequence mqlr?
1/660
Four letters picked without replacement from {s: 5, n: 2, c: 6, z: 5, g: 1}. What is prob of sequence znsn?
25/46512
What is prob of sequence ea when two letters picked without replacement from {a: 6, e: 7}?
7/26
What is prob of sequence cfn when three letters picked without replacement from {f: 2, n: 2, c: 4}?
1/21
Three letters picked without replacement from {b: 1, f: 2, x: 3, e: 1}. Give prob of sequence bef.
1/105
Three letters picked without replacement from {e: 3, j: 1}. What is prob of sequence jee?
1/4
Two letters picked without replacement from xllxtzi. What is prob of sequence li?
1/21
Calculate prob of sequence pk when two letters picked without replacement from {t: 8, e: 2, p: 2, k: 2}.
2/91
Three letters picked without replacement from ljmmeohho. Give prob of sequence oeo.
1/252
Two letters picked without replacement from {q: 4, a: 3}. Give prob of sequence aa.
1/7
Two letters picked without replacement from pararrooprrro. What is prob of sequence pr?
1/13
What is prob of sequence nnnn when four letters picked without replacement from nnnnn?
1
Calculate prob of sequence jz when two letters picked without replacement from jyjyjttzjyytjztjzj.
7/102
What is prob of sequence qq when two letters picked without replacement from qqppppq?
1/7
Two letters picked without replacement from {b: 4, q: 6}. Give prob of sequence bb.
2/15
Calculate prob of sequence zbbz when four letters picked without replacement from {z: 2, b: 6}.
1/28
Three letters picked without replacement from npzzznznzznnezzz. What is prob of sequence enz?
3/224
Four letters picked without replacement from fuzfzzzfzzf. What is prob of sequence zffz?
1/22
Calculate prob of sequence oz when two letters picked without replacement from {z: 2, o: 4, i: 3}.
1/9
What is prob of sequence zz when two letters picked without replacement from {x: 2, z: 7, y: 3}?
7/22
Two letters picked without replacement from lfrfrlfrylmdffdld. Give prob of sequence rf.
15/272
What is prob of sequence aie when three letters picked without replacement from {a: 2, j: 2, z: 1, i: 1, e: 1}?
1/105
Calculate prob of sequence qql when three letters picked without replacement from qqqqqqqqqlqllqq.
66/455
Three letters picked without replacement from atrtaaraa. What is prob of sequence att?
5/252
Two letters picked without replacement from {n: 1, i: 1, c: 11, x: 4, w: 2}. What is prob of sequence ni?
1/342
Calculate prob of sequence xt when two letters picked without replacement from xxxtxxxttxx.
12/55
Calculate prob of sequence iiii when four letters picked without replacement from oiiiooioggiio.
3/143
Calculate prob of sequence yq when two letters picked without replacement from yeyyeqqeqyeeqe.
8/91
Calculate prob of sequence ng when two letters picked without replacement from ginjjnn.
1/14
Calculate prob of sequence ii when two letters picked without replacement from iididzfii.
5/18
What is prob of sequence xxe when three letters picked without replacement from eeeexxx?
4/35
Four letters picked without replacement from jjjzjjljzjjlzzjzzzz. What is prob of sequence lzlj?
1/646
Calculate prob of sequence zzyy when four letters picked without replacement from {h: 2, y: 5, z: 2, x: 3}.
1/297
What is prob of sequence psp when three letters picked without replacement from {s: 8, p: 3}?
8/165
Calculate prob of sequence dw when two letters picked without replacement from wwdsswsdttwtswtwsdw.
7/114
Three letters picked without replacement from {d: 2, j: 1, u: 5, t: 1, p: 1, e: 7}. Give prob of sequence tdp.
1/2040
Calculate prob of sequence pp when two letters picked without replacement from pppuupyppipyppppppp.
91/171
Four letters picked without replacement from djhjhhjgjhjjjhh. What is prob of sequence gjdh?
1/780
What is prob of sequence sss when three letters picked without replacement from {f: 6, s: 4, h: 1}?
4/165
Two letters picked without replacement from zzz. Give prob of sequence zz.
1
Three letters picked without replacement from {j: 3, w: 4}. What is prob of sequence jjw?
4/35
Three letters picked without replacement from ijjjiiiilj. What is prob of sequence jil?
1/36
Calculate prob of sequence qqh when three letters picked without replacement from qhqqqhqqqqqqhhhhdh.
35/272
What is prob of sequence dum when three letters picked without replacement from mudtmqdpt?
1/126
What is prob of sequence np when two letters picked without replacement from {n: 2, j: 1, p: 1}?
1/6
Calculate prob of sequence hl when two letters picked without replacement from {s: 3, h: 2, l: 2, c: 6}.
1/39
Three letters picked without replacement from {q: 7, l: 3, p: 1, n: 1, u: 2, b: 3}. Give prob of sequence bpb.
1/680
Calculate prob of sequence at when two letters picked without replacement from mtallhmlhmtagml.
2/105
Calculate prob of sequence iz when two letters picked without replacement from izhzzzziihhh.
5/44
Three letters picked without replacement from {c: 8, m: 5, a: 4}. What
|
{
"pile_set_name": "DM Mathematics"
}
|
-3
(-6 - -2) + 6 - 4 - -2
0
Calculate 5 - (3 + -7 + 4).
5
What is the value of (-2 - 0) + 0 + 0 - 2?
-4
Calculate 2 + -7 + 2 + 0.
-3
4 - (-1 - ((-3 - -4) + -2))
4
What is -63 + 68 + -10 + -1?
-6
What is 4 - (7 + -8 + 2 - -4)?
-1
What is (0 - (-2 + 1 + -1)) + 1?
3
Evaluate -13 + 14 - (5 - 1).
-3
Calculate (4 + 1 - 6) + 5.
4
Calculate (-2 - -1 - (0 + -6)) + 1.
6
Evaluate -5 - -4 - (1 - 1).
-1
Evaluate -2 - (0 - (-4 + 4)).
-2
0 + 5 + -2 + -8
-5
-8 + (13 - (0 + 8 + -1))
-2
Calculate 3 + -1 + 1 + -1.
2
Calculate -2 + -3 + (-3 - -7) + 2.
1
Evaluate -4 - (-5 + (0 - -5)).
-4
What is the value of 2 + (-3 - -5) - (2 - 2)?
4
What is the value of 1 - ((-13 - -19) + 1 + -4)?
-2
What is (-5 - -1) + (-10 - -7)?
-7
What is the value of -8 + -9 + 17 - -2?
2
What is (1 - 3) + -2 + 3?
-1
What is -4 + (8 - 7) + 3?
0
9 - 2 - (13 - 0)
-6
Evaluate 4 + 2 + (-2 - 0).
4
Evaluate 4 + -4 + (0 - 3).
-3
What is the value of (-4 - (4 - 4)) + 4?
0
Evaluate -5 + (0 - ((-2 - -3) + -5)).
-1
Calculate 18 - (-12 + 22 - -3).
5
Evaluate 6 + (0 - -6) + -10 + -3.
-1
Evaluate (3 - (14 - 8)) + 0.
-3
Calculate 1 + 6 + -9 - (0 - -3).
-5
What is the value of 6 - ((-3 - -5) + -2) - 0?
6
What is -6 + (-1 - 0) - 7 - -6?
-8
What is -7 - 0 - -3 - -4?
0
What is the value of 3 + 2 - -2 - 4?
3
What is the value of 3 - (-1 + 4 + 0)?
0
Calculate 2 - 2 - (-11 + 7).
4
Evaluate 0 - -7 - (3 + -1 + 0).
5
Calculate -14 - -1 - (6 + -25 + 12).
-6
Calculate -5 + 1 + -3 + 13 - 11.
-5
3 + (4 - 8) + -2
-3
Calculate (7 - (-2 - -4)) + -1.
4
Calculate -1 + 6 + -12 + 6.
-1
What is 9 - 5 - (-2 - 0)?
6
-1 + (-1 + 4 + -3 - -1)
0
0 - ((11 - 9) + (-2 - 0))
0
What is -17 - (-6 - (6 + -6))?
-11
Evaluate 4 - 2 - 0 - 2.
0
Calculate -5 + (-2 + 4 - 6) + 4.
-5
What is the value of 374 + -374 + (-1 - -2) + -4?
-3
What is the value of 2 + (0 + 0 - 3)?
-1
7 + -3 + -2 + -3
-1
Evaluate (7 - 6) + -3 - -7.
5
Evaluate -6 + (-1 + 0 - (-48 - -40)).
1
What is the value of (-3 - -2 - (-2 - -5)) + 9?
5
What is -1 + 2 + (2 - 0) + -4?
-1
What is the value of -6 - (-14 + (8 - 7))?
7
Calculate -8 - (1 + -2 + -2).
-5
(1 - (-2 + (4 - 1))) + -4
-4
What is -5 - (7 + -7 - 4)?
-1
Calculate -8 - (4 + -7 + -2).
-3
Calculate -4 - (5 + (0 - (19 + -6))).
4
-5 + -2 + (6 - (4 - 8))
3
Calculate -6 - 0 - (-11 - -10).
-5
Calculate (-1 - (-1 + 14)) + 328 + -323.
-9
Calculate 2 + -2 + (4 - (2 - 0)).
2
Evaluate -213 + 221 - (-1 + 2 + 2).
5
1 + 0 + (0 - -3)
4
What is the value of 9 + (-6 - -3) - 11?
-5
What is the value of 2 + -4 + (-2 - -1)?
-3
What is -3 - (5 - -10 - 11)?
-7
-3 + 0 + 9 + (20 - 19)
7
Calculate (-4 - 2) + 5 + -1.
-2
Calculate -1 - (-4 + 1 + 6 - 1).
-3
(0 - (0 + -1)) + 1 + -4
-2
Calculate -1 + (-2 - (-9 + 5)).
1
Evaluate (-3 - -1) + 2 + 1.
1
What is the value of (13 - -7 - 11) + -13?
-4
What is 8 - 2 - (10 + (-7 - 0))?
3
Calculate -26 + 28 - (-3 + 1).
4
Evaluate 4 + 18 + -1 - 10.
11
What is 8 + 10 + -15 - -7?
10
Evaluate 2 - 6 - (-10 - -7).
-1
Calculate 3 + (6 - -4 - 8).
5
1 + 8 + -8 + 2
3
What is 9 + (-3 - -1) - 0?
7
6 - (7 + -2) - 2 - -5
4
What is the value of 6 - ((6 - 9) + 1)?
8
Calculate 4 + -3 - 8 - -2.
-5
Calculate (-3 - -5 - 2) + 17 + -11.
6
What is 8 - ((4 - 0) + 5 + -4)?
3
What is (2 - -3) + 3 + (-15 - -11)?
4
Evaluate -1 - -14 - (69 - 62).
6
What is the value of 0 + -3 + (2 - -1) + 3?
3
What is the value of -2 - (-2 - (-2 + 2) - 2)?
2
7 + (0 - -7 - 19) + 6
1
What is the value of 2 - (-4 + 1 - -6) - 2?
-3
Calculate (0 - -3) + 10 + -14 - -1.
0
What is 14 + -3 + -5 + -11?
-5
Calculate (10 - 8) + (5 - 3) + 3.
7
What is -7 + (2 - (-16 - (-8 - -3)))?
6
What is -8 + 5 + (6 - 2)?
1
Evaluate (-6 - -6 - 7) + 6.
-1
What is the value of 5 + 7 + -25 - -7 - -8?
2
Calculate (10 - (2 - -3)) + -1.
4
0 - -1 - (131 + -137)
7
Calculate 2 + (-4 - -7) - (5 - 6).
6
(22 - 25) + (1 - -4)
2
Calculate -12 + (28 - 13) + -1.
2
Calculate -8 - 0 - (-14 + -1).
7
What is the value of -3 - (4 + -4 + 4)?
-7
5 - ((9 - 6) + 1)
1
Calculate 0 - (-8 - (3 - 4)).
7
Evaluate 0 + -1 + 3 - (7 - 5).
0
Calculate (-3 - -6 - 9) + 0 + 1.
-5
What is the value of 50 + -41 + (-1 - 0)?
8
What is 1 - -1 - (-4 - -1)?
5
Calculate -2 - -2 - ((1 - -3) + -5).
1
Evaluate -4 - (-4 - (-6 + 4 - 0)).
-2
What is -29 - -21 - (-3 + 1)?
-6
What is the value of 2 + (2 - 6) - 3 - -4?
-1
Calculate -1 - ((2 - 7) + 9).
-5
What is -157 - -153 - (1 - 1)?
-4
What is -1 - -3 - (27 + -26)?
1
Calculate 10 + -7 - (-2 + 5 + -6).
6
What is (34 - 21) + (0 - 4)?
9
Calculate -3 + -1 - (1 + -5).
0
Evaluate 1 + 9 - (-1 - -6).
5
What is (7 - 0 - (7 + -3)) + -2?
1
Evaluate (-14 - -17) + (-3 + 2 - 2).
0
(5 - 12) + 6 + -2
-3
What is 1 + (7 - 13 - -4)?
-1
Calculate -10 + 1 - (1 + -5).
-5
Evaluate -11 + (-3 - (6 + -18 - -6)).
-8
Evaluate -22 + (-9 - -20) - -6.
-5
8 - 11 - -3 - 4
-4
Calculate (-58 - -49) + (-1 - -11).
1
What is the value of -18 + 19 - (-2 + 7)?
-4
What is the value of (-14 - -6) + 7 - (3 - 0)?
-4
Evaluate -7 - (-2 + -3 - -1) - -3.
0
What is 8 - (-5 + 2 + 13 - 5)?
3
-6 + (4 - -3) - -5
6
Calculate 3 + -3 + -3 - (-2 + -3).
2
Evaluate (3 - -1) + (4 - (15 + -2)).
-5
What is (0 - -1) + -4 - (242 + -240)?
-5
Evaluate (-8 - -12) + -3 + (3 - -1).
5
What is the value of 4 - (-3 - -3) - (0 - 1)?
5
What is (10 - 1) + -1 - (-18 - -20)?
6
1 + -1 - (85 - 92)
7
Evaluate -2 - 19 - (3 - 15).
-9
What is the value of 3 + -4 + -3 - -4 - -6?
6
What is 3 + (-7 - (-3 - 0)) + 4?
3
What is the value of 6 + -1 - (3 - -4 - 3)?
1
Evaluate 2 - ((-9 - -7) + -1).
5
Calculate 8 + -2 + -2 + (-1 - 0).
3
Calculate -8 - (4 + -4 - 10).
2
Evaluate 7 + -7 + -2 + 3.
1
-1 - -2 - (10 - 9)
0
6 + -2 - -1 - (-99 - -101)
3
Evaluate 2 + -1 - (-1 - -1 - 2).
3
Evaluate -6 + (2 - -13) + -4.
5
Evaluate (1 + 0 - -3 - 5) + 1.
0
-2 - ((2 - 3) + (-2 - 6))
7
Evaluate 6 + (-2 - 3 - -4).
5
Evaluate (-3 - (-4 + -5)) + -7 + 10.
9
Evaluate -4 + 0 - (-117 - -109).
4
2 - -1 - 0 - (1 - 3)
5
What is 0 + (4 + -1 - -3) - 3?
3
Evaluate 48 + -46 + -2 + 6.
6
-127 - -123 - (1 - 11)
6
-6 - (5 + (14 - 30))
5
Evaluate 0 + 0 - (-7 - -2).
5
What is the value of -6 + 1 - (-5 - -3 - 4)?
1
(2 - 8) + 7 - -4
5
Evaluate -1 + (-7 + 4 - (-7 - 2)).
5
Evaluate (-2 - -1) + (15 - 11).
3
What is the value of 0 - -3 - (18 - 15 - -2)?
-2
What is the value of 4 + -1 - (-1 + 3) - 2?
-1
Evaluate -3 - -3 - (2 - (9 + -5)).
2
-2 - -1 - ((2 - 3) + -5)
5
Calculate (2 - -1) + -3 + 1 + -3.
-2
What is (3 - (3 - (3 + -3))) + -4?
-4
What is the value of -3 - ((7 - 5) + -11)?
6
Evaluate -9 + 1 - (15 + -33 + 10).
0
Evaluate (-2 - 5) + 0 + 7.
0
Evaluate (17 - 10) + (5 - 6).
6
What is the value of -2 + (6 + 2 - 3)?
3
Calculate (-4 - -2 - -2) + (-11 - -16).
5
What is the value of 1 + 9 - (-39 + 42)?
7
Evaluate 1 + 3 + -4 + -2 - 1.
-3
Calculate 3 - (6 + 1 + (0 - 2)).
-2
Evaluate 2 + 2 - (20 - 15).
-1
What is (-4 - (4 - 1 - 6)) + 6?
5
Calculate (5 - 2) + 0 - (-5 + 9).
-1
44 - 53 - (-10 - 3)
4
What is the value of -1 + 6 + -1 - 9 - -1?
-4
Evaluate -9 - (3 - (3 - -3)).
-6
What is -1 + -9 + 21 + -4?
7
3 - (-3 + (4 - -2 - 2))
2
-13 + 14 + (-1 - -1)
1
Evaluate -1 - (4 - (-2 - -3 - 0)).
-4
What is (21 - (12 + -5)) + -8?
6
What is 0 + (-1 - 10) - (103 - 110)?
-4
Evaluate (3 - (-1 + 0)) + 1.
5
Calculate 4 + -3 - 15 - -6.
-8
(-29 - -30) + (0 - 4)
-3
What is the value of (-7 - -4 - 0) + 0 + -1?
-4
Calculate -6 - ((-3 - -5) + -11).
3
0 + (0 - -3) + -1 + -2
0
Calculate -1 + (-4 - -7) + 0.
2
0 + (-3 - 0 - (19 + -22))
0
Calculate (10 - (0 - -2)) + -9.
-1
Evaluate -2 + (1 - (5 - 5)).
-1
What is the value of (-5 - 0) + (-33 - -35)?
-3
7 + 1 + (9 - 14)
3
1 - ((6 - 5) + -5)
5
What is (-5 - -2) + (1 - 3)?
-5
Evaluate -49 + 46 - (3 + (-3 - -6)).
-9
What is the value of -3 - 1 - (-18 - (12 + -20))?
6
-11 - (-5 + (-6 - -8))
-8
8 + 2 + (-4 - 2)
4
What is the value of (-2 - -2) + -1 + (11 - 5)?
5
-7 + (-3 + 5 - -3)
-2
Evaluate -5 - (-2 - (11 - 10)).
-2
0 - (-8 - (2 + -4 - -1))
7
Evaluate 5 + 7 + 3 + -10.
5
Evaluate (9 - (4 - (4 - 3))) + -12.
-6
Evaluate -6 - (-3 + 2 + -3).
-2
What is -3 + 4 + 2 - 2?
1
Calculate -7 - -3 - (-4 + 0 - -3).
-3
What is -29 - -31 - (-2 + 0 + 5)?
-1
What is (-2 - (-3 + 6)) + (-1 - -2)?
-4
What is -14 - (-3 - (2 - -2))?
-7
What is 8 - ((4 - 0) + -2)?
6
What is -1 + 3 + 2 + 2 + -3?
3
What is -6 + 7 + 2 - 8?
-5
What is (1 - -8) + 103 + -103?
9
What is -6 - (-13 + 4 - 2)?
5
Evaluate 2 + -30 + 26 + 6 + 0.
4
Evaluate -6
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate the remainder when 8 is divided by w.
3
Let a be 1*(-1 - -1) + 2. Suppose -3*h + 4*z = -58, a*z = 1 + 9. What is the remainder when 102 is divided by h?
24
Let n(i) = -i**2 - 3*i + 2. Let u be n(-3). Let m = u + 7. What is the remainder when 16 is divided by m?
7
Let g(r) = 5*r + 5*r - 2*r - 4 - r**2. Calculate the remainder when g(7) is divided by 2.
1
Let i = 28 + -2. Let a be (-6)/(-16) - 165/(-8). Let r = -12 + a. Calculate the remainder when i is divided by r.
8
Let z = 32 - -57. Calculate the remainder when z is divided by 30.
29
Calculate the remainder when 11 is divided by 6 - (3 - 3 - (2 - 2)).
5
What is the remainder when (-6)/(-21) + 855/21 + 2 is divided by 11?
10
Let h(k) = k**3 - 9*k**2 - 9*k + 2. Calculate the remainder when 45 is divided by h(10).
9
What is the remainder when 1968/21 - 2/(-7) is divided by 32?
30
What is the remainder when 27 is divided by (-212)/(-15) + 8/(-60)?
13
Let y = 46 - -25. Calculate the remainder when y is divided by 37.
34
Let i(s) = -s**2 - 4*s + 4. Let q be i(-4). Suppose 3*h + h - 2*f = 34, h - q = 5*f. Calculate the remainder when 15 is divided by h.
6
Suppose 3*b + 75 - 21 = 0. Let i = 26 + b. What is the remainder when i is divided by 3?
2
Suppose 2*v = 4*t - 194, 9*t = 6*t + 4*v + 133. Calculate the remainder when t is divided by 17 + 1 + (1 - 1).
15
What is the remainder when 57 is divided by -8 - -5 - (-17 - (2 - 1))?
12
Let a(q) = 2*q**2 + 0*q**2 - 3*q**2 + 7*q + 10. Calculate the remainder when 18 is divided by a(7).
8
Let w = 9 - 1. Suppose 4*p = 5 - 37. Calculate the remainder when w is divided by 10/p*(-6 - -2).
3
Suppose -16 + 2 = -h. Let g = 7 - 28. Let f = 47 + g. What is the remainder when f is divided by h?
12
Let d(b) = -3 - b + b - 4 - 2*b. Calculate the remainder when 13 is divided by d(-6).
3
Let d(f) = -4*f + 8. Let s be d(11). Let y = s - -58. Calculate the remainder when y is divided by 12.
10
Let p(i) = 2*i - 3. Calculate the remainder when 84 is divided by p(16).
26
Suppose -b = 3*b - 20. What is the remainder when (-1 - -1) + (-5 - -19) is divided by b?
4
What is the remainder when 28 is divided by 8/(-6)*4/((-32)/60)?
8
Let q(p) = 3*p**2 - 21*p + 18. Let u(t) = t**2 - 7*t + 6. Let z(g) = 4*q(g) - 11*u(g). Let v = 4 + 13. Calculate the remainder when v is divided by z(7).
5
Let g(k) = -2*k - 2. Let i be -2 + -4 - (-1 + 0). Let z(a) = a + 19. What is the remainder when z(-5) is divided by g(i)?
6
Let q(g) = 5*g + 11. Let o = -1 + 1. Suppose o = d + 12 - 34. Calculate the remainder when d is divided by q(-1).
4
Let w(g) = -g**2 + 1 - 2*g + 0 - 2*g. Let t be w(-3). Calculate the remainder when 5 is divided by 3/1*4/t.
2
Let p = -22 - -24. What is the remainder when p is divided by 2?
0
Let n(b) = b. Let u be n(-10). What is the remainder when 33 is divided by 20 + 5/(u/6)?
16
Let v = 25 + -18. Let j(a) = -3*a - 6. Calculate the remainder when j(-6) is divided by v.
5
Suppose 3*u - 46 = u. What is the remainder when 90 is divided by u?
21
Let q = 18 + -11. Let h = q - -6. Let o = 73 + -37. Calculate the remainder when o is divided by h.
10
Suppose 4*j - 15 = -5*w + 171, 2*w - 45 = -j. Let t = j - 15. What is the remainder when t is divided by 12?
10
What is the remainder when 1/(-3) - (-320)/6 is divided by 14?
11
Let v(z) = -14 + 17 + 2*z - 8. Calculate the remainder when 36 is divided by v(12).
17
Let o(g) = g. Let m be o(0). Suppose m*d - 20 = -4*d. Suppose -d*y + 44 = -y. What is the remainder when 32 is divided by y?
10
Let n = -83 + 91. What is the remainder when 45 is divided by n?
5
Suppose -4*w - 20 = g - 2*g, -2*w - 10 = -3*g. Suppose -y - 3*h + 0*h + 48 = g, y = h + 52. What is the remainder when y is divided by 13?
12
Let r(t) = -t + 1 - 6*t - 9*t + 18*t. What is the remainder when 20 is divided by r(5)?
9
Let p be (-3)/(27/6)*-3. Suppose -p*v - 3*z = -48, -4*v + 52 = -4*z - z. What is the remainder when 52 is divided by v?
16
Let h be 7 - ((-2 - 0) + 4). Suppose 4*i - h*i + 33 = 0. Suppose z - 6*z + 85 = 0. What is the remainder when i is divided by z?
16
Let c = 24 + -9. What is the remainder when -9*6/c*-5 is divided by 10?
8
Calculate the remainder when 326/9 + (-2 - 96/(-54)) is divided by 25.
11
Let x = 6 + -1. Let f = 14 - 1. What is the remainder when f is divided by x?
3
Let f(m) = m**3 - 12*m**2 + 5*m + 12. Let b be f(11). Calculate the remainder when ((-3)/(-2))/((-3)/b) is divided by 14.
13
Suppose q - 2*p - p = 18, -4*q + 44 = -5*p. Suppose u + 0 = 2. Suppose 3*m - 13 = 2*m - 2*x, -8 = -u*m + 5*x. Calculate the remainder when m is divided by q.
3
Let n(w) = -w - 6. Let r be n(-6). Suppose r = 3*b + 2*b - 290. Let d = 19 + 1. What is the remainder when b is divided by d?
18
Let c = -4 + 7. Suppose -2*g - 3*g + 26 = p, g + 20 = 4*p. What is the remainder when c is divided by (1/(-2))/(p/(-24))?
1
Suppose -208 = -4*i + 4*q - 8*q, 0 = 3*i - 5*q - 188. What is the remainder when i is divided by 30?
26
Suppose 9 + 72 = 3*v. Suppose q - r = -v + 77, -5*q = -3*r - 248. What is the remainder when q is divided by 17?
15
Let l be (-1 - (-4)/2)*-7. Let g(o) = -4*o**2 - 5 + o**3 + 11*o**2 - o - 5 + 5. Calculate the remainder when g(l) is divided by 2.
0
What is the remainder when ((-15)/4)/(8/(-160)) is divided by 19?
18
Let n be -28*(0 + 2/4). Let a = 6 + 9. Calculate the remainder when a is divided by (-4)/(-14) + (-108)/n.
7
Let u be 2 - (-1)/(3/24). Let o = -10 + u. Suppose 3*x - p - 95 - 21 = 0, -4*x - 5*p + 142 = o. What is the remainder when x is divided by 20?
18
Suppose -25 = 2*l + 3*l, -3*r - 5*l - 10 = 0. Suppose 3*s - 2*s - 43 = -r*k, -5*s + 4*k = -215. What is the remainder when s is divided by 15?
13
Let b(m) = 7*m + 71. Calculate the remainder when b(0) is divided by 19.
14
Let k be (-3 - 2) + 2 - -34. Suppose -65 - k = -4*j. Suppose i - 4*i = -j. What is the remainder when 15 is divided by i?
7
Suppose -3 = -q + 1. Suppose c = 2*h - h - 18, 2*h = 4*c + 42. What is the remainder when h is divided by q?
3
Suppose 2*p + 0*c - 5*c = 58, 2*p + 5*c - 58 = 0. Let l = 38 - 32. What is the remainder when p is divided by l?
5
Suppose 5*h + 10 = 0, 4*b - 2*h - 8 = -0. Let l(p) = 8*p - 1. Calculate the remainder when 12 is divided by l(b).
5
Let m be (-1)/(3*(-3)/(-63)). What is the remainder when (-558)/(-21) + (-3)/m is divided by 10?
7
What is the remainder when 95 is divided by (35/(-3) - -1)*-3?
31
Let k(q) = 2*q - 1. Suppose -4*g = -g - 5*y - 25, 0 = g + 3*y + 1. Let s = 16 + -11. Calculate the remainder when k(g) is divided by s.
4
Suppose -m = -a + 1, -4*a + 17 - 7 = 2*m. Suppose -a*r - 22 = -2*k + 2*r, 33 = 3*k + 4*r. Calculate the remainder when 75 is divided by k.
9
Let h(t) = 2*t + 20. Calculate the remainder when h(-7) is divided by 3.
0
Suppose -z - 126 = -3*z. What is the remainder when z is divided by 33?
30
Let x be (-9)/(-6)*2 - -93. Suppose p + d - 49 = 0, -2*p - x = -4*p - 3*d. Calculate the remainder when p is divided by 13.
12
Let q be -10 + 7 - 3*1. Let i = q + 16. What is the remainder when i is divided by 4?
2
Calculate the remainder when 12 is divided by 6 + (-1 + 7)/(-2).
0
Calculate the remainder when 18/1 - 48/(-16) is divided by 3.
0
Let a(z) = 4*z**2 + z. Calculate the remainder when a(-1) is divided by 3.
0
Let u = 36 - 24. Calculate the remainder when u is divided by 7.
5
Suppose -t + 6 = t. Suppose u = h + 5, -4*u - t*h + 0*h - 1 = 0. Suppose -5*w = -u*w - 39. What is the remainder when 38 is divided by w?
12
Let a = -9 - -10. Let c = 5 - a. What is the remainder when 7 is divided by c?
3
Let m be 1*(0 - 0)/1. Suppose 12 = y - 3*y - 4*a, m = -4*y - a + 4. Calculate the remainder when 36 - (-3 + 0 + y) is divided by 13.
11
Suppose -75 = -7*k + 2*k. Let c(b) = 3*b**2 - 12*b + 8. Calculate the remainder when k is divided by c(4).
7
Suppose 0 = 4*a + 24 - 0. Let n(v) = -4*v - 5. Calculate the remainder when n(a) is divided by 7.
5
Suppose 98 = 4*x + 2*r, -5*x - 5*r = -4*x - 47. Calculate the remainder when 64 is divided by x.
20
Suppose 2*k + 0*a - 5*a = 10, -k - 5 = -5*a. Calculate the remainder when 57 is divided by k.
12
Let q be -40 + (2*-2)/(-2). Let x = -23 - q. Let m = -21 - -29. Calculate the remainder when x is divided by m.
7
What is the remainder when 4 is divided by -2 + (2 - 8/(-4))?
0
Suppose -r = -6*r
|
{
"pile_set_name": "DM Mathematics"
}
|
27. Let d be 9/6 - 68/t. Let m(u) = 8*u**3 - 6*u**2 - 7*u - 1. Let b(q) = -7*q**3 + 5*q**2 + 6*q + 1. Calculate d*b(h) - 6*m(h).
h**3 + h**2 - 1
Let l(d) = -2*d**3 + 4*d**2 - 4*d. Let f(q) = -3*q**3 + 1218*q + 8*q**3 - 11*q**2 - 1207*q. Give -4*f(w) - 11*l(w).
2*w**3
Let w(i) = 14*i**3 + 13*i. Let u(o) = -7*o**3 - 6*o. Let a be 26/(2/3*-3). Give a*u(n) - 6*w(n).
7*n**3
Let c(a) = a. Suppose 5*t - 4*t = -3. Let i(f) = 3*f. What is t*c(l) + 2*i(l)?
3*l
Let r(i) = i**2 + i - 1. Let z be (-1 - 11)*(-12)/(-24). Let q(f) = -7*f**2 - 4*f + 4. What is z*r(p) - q(p)?
p**2 - 2*p + 2
Let h(i) = -40*i + 2. Let n(o) = 79*o - 4. What is -7*h(d) - 3*n(d)?
43*d - 2
Let o(g) = -g**2 + g. Let r(a) = -a**2 + 6*a - 1. Let q be r(4). Let w(u) = -u**3 + 3*u**2 - 4*u. Determine q*o(k) + 2*w(k).
-2*k**3 - k**2 - k
Let p(f) = 11*f**2 + f + 1. Let j(w) = -w - 1. Give -j(h) - p(h).
-11*h**2
Let p(j) = -8*j - 20. Let q(h) = 3*h + 7. Let x(g) = -5*g - 3. Let n be x(-3). Suppose 2*s + m = 29, -5*m = -5*s - n + 77. Give s*q(z) + 5*p(z).
2*z - 2
Let c(h) = 20*h**2 - 18*h. Let g(t) = -8*t**2 + 7*t. Determine 5*c(q) + 12*g(q).
4*q**2 - 6*q
Let c(r) = -4*r**2 - 7*r + 7. Let d(o) = -9*o**2 - 15*o + 15. What is -13*c(z) + 6*d(z)?
-2*z**2 + z - 1
Let g = -114 + 118. Let b(c) = 2*c**3 - 2*c**2 + 2*c + 2. Let p(s) = 2*s**3 - 3*s**2 + 3*s + 3. Calculate g*p(f) - 6*b(f).
-4*f**3
Let h(q) = -16*q - 2. Let t(i) = 31*i + 3. Determine -7*h(m) - 4*t(m).
-12*m + 2
Let s(q) = -8*q**3 + 7*q**2 - 6*q + 4. Let m(y) = -7*y**3 + 6*y**2 - 5*y + 4. What is -6*m(a) + 5*s(a)?
2*a**3 - a**2 - 4
Let v(d) = -7*d + 2. Let j(z) = z - 1. Let o(q) = -6*j(q) - v(q). Let a = 5 - 11. Let m(f) = -f - 3. What is a*m(c) - 4*o(c)?
2*c + 2
Let d(j) = j + 1. Let n(v) = 3*v**3 + v + 1. Calculate -d(q) + n(q).
3*q**3
Let n(k) = -k + 3. Let x be n(-7). Let r be x/(-45) - (-202)/18. Let q(o) = 7*o - 2. Let j(m) = -4*m + 1. Determine r*j(b) + 6*q(b).
-2*b - 1
Let n = -1 - 0. Let k(b) = -1. Let z be (15 + 0)*2/(-5). Let a(q) = -q**2 + 6. What is n*a(v) + z*k(v)?
v**2
Let k(c) be the third derivative of -c**4/12 - c**3/3 - c**2. Let g(y) = 2*y + 2. Calculate 2*g(a) + 3*k(a).
-2*a - 2
Let t(q) = 9*q**3 + 9*q**2 + 7. Let k(a) = 108*a**2 - 52*a**2 + 3 + 4*a**3 - 52*a**2. Determine 13*k(i) - 6*t(i).
-2*i**3 - 2*i**2 - 3
Let j(c) = -2*c + 3. Let o(i) = -3*i**2 + 14*i - 3. Let d be o(4). Let w(h) be the second derivative of -2*h**3/3 + 7*h**2/2 - h. Determine d*j(v) - 2*w(v).
-2*v + 1
Let i(k) = -2*k**2 + k**3 - 5*k**2 + 9*k**3 + 3*k + 4*k + 7. Let w(h) = -7*h**3 + 5*h**2 - 5*h - 5. Calculate -5*i(x) - 7*w(x).
-x**3
Let z(c) be the third derivative of -c**6/60 + c**4/6 - c**3/3 - 2*c**2. Let i = -81 - -82. Let b(q) = q - 1. Give i*z(v) - 2*b(v).
-2*v**3 + 2*v
Let l(h) = -h**3 - h**2 - h - 1. Let f(z) = 5*z**3 + 8*z**2 + 2*z + 3. What is f(p) + 3*l(p)?
2*p**3 + 5*p**2 - p
Let q(u) = -9*u**2 - 5*u - 2 + 3*u + 4*u. Let n(y) = 9*y**2 - 3*y + 2. Let v(a) = -3*n(a) - 4*q(a). Let r(t) = -5*t**2 - t - 1. Calculate 5*r(w) + 3*v(w).
2*w**2 - 2*w + 1
Let t(a) = 6*a + 2*a**3 + 0*a**3 - a**3 + 5 + 0*a**2 - 5*a**2. Let y(u) = u**3 - 4*u**2 + 5*u + 4. Calculate 4*t(x) - 5*y(x).
-x**3 - x
Let b(g) = -g - 19. Let x(u) = -2*u - 39. Calculate -7*b(t) + 3*x(t).
t + 16
Let k be (-2)/(-4) - 100/8. Let d be (10/(-6))/((-2)/k). Let x = d - -5. Let p(v) = v**3 - v - 1. Let t(b) = -4*b**3 + 5*b + 5. What is x*p(z) - t(z)?
-z**3
Suppose 2*v - 3*w + 19 = 0, -5*v + 5*w + 2 = 47. Let f(k) = 10*k**3 - 8*k. Let d(a) = a**3 - a. Give v*d(o) + f(o).
2*o**3
Let y(j) = 3*j**3 - j**2 - 2*j + 42. Let u(i) = -10*i**3 + 3*i**2 + 7*i - 126. Give 2*u(a) + 7*y(a).
a**3 - a**2 + 42
Let c(x) = 5*x - 1. Let u(s) = -24*s + 4. Let d(r) = 7*r - 70. Let g be d(12). What is g*c(w) + 3*u(w)?
-2*w - 2
Let p(t) = 7*t**2 + 19*t - 2*t - 23 + 21. Let v(j) = -3*j**2 - 8*j + 1. What is 6*p(i) + 13*v(i)?
3*i**2 - 2*i + 1
Let z(l) be the second derivative of -l**5/10 + l**3/3 + l. Let c(y) be the third derivative of y**6/30 - y**5/60 - y**4/6 + 3*y**2. Calculate 2*c(w) + 5*z(w).
-2*w**3 - 2*w**2 + 2*w
Let f(i) = i**2 - i + 1. Let w(h) = 8*h**2 - 4*h + 12. Let k(q) = -6*f(q) + w(q). Let y(c) = -c - 1. Determine -k(b) - 4*y(b).
-2*b**2 + 2*b - 2
Let s(j) = 2*j**3 + 5*j**2 - 6. Let l(b) = b**3 + b**2 - 1. What is 5*l(g) - s(g)?
3*g**3 + 1
Let n(p) = p - 6. Let b(d) = -5*d + 25. Let h(x) = -2*b(x) - 9*n(x). Suppose 4 = 2*c + 4*u, 0 = 5*c - 2*c - 5*u + 27. Let i(m) = 3. Calculate c*i(o) + 3*h(o).
3*o
Suppose -7*z - 18 = -z. Let h(c) = -2*c**3 - c**2 + 3*c - 1. Let b(l) = -l. Let g be b(-1). Let k(d) = d - 2*d + 2*d - g. Calculate z*k(w) + h(w).
-2*w**3 - w**2 + 2
Let c(y) = -3*y**2 + 2*y - 1. Let z(l) = -2*l**2 + l - 1. Let o(w) = w**3 + 7*w**2 + 3*w + 8. Let q be o(-7). Let x = q - -9. Calculate x*z(u) + 3*c(u).
-u**2 + 2*u + 1
Let h(l) be the third derivative of l**5/12 + l**4/12 + 2*l**3/3 - l**2. Let o(g) = 6*g**2 + 3*g + 5. Let v be (-3)/15 - -1*28/(-10). Determine v*h(d) + 2*o(d).
-3*d**2 - 2
Let x(z) be the first derivative of z**3/3 + z + 15. Let j(y) = 3*y**3 - 5*y**2 - 6. Determine -j(r) - 4*x(r).
-3*r**3 + r**2 + 2
Let q(h) = -10*h + 6. Let w(z) = z - 1. Let y(p) = -q(p) - 8*w(p). Let f(t) = 3*t + 3. Determine -4*f(x) + 5*y(x).
-2*x - 2
Let p(v) = -22*v + 12. Let h(q) = -9*q + 5. Let g(l) = -l**2 + 5*l + 6. Let j be g(7). Let m = j - -20. Calculate m*h(r) - 5*p(r).
2*r
Let t(i) = -18*i**3 - 4*i**2 - 4*i. Let c(m) = 35*m**3 + 7*m**2 + 7*m. What is 4*c(u) + 7*t(u)?
14*u**3
Let b(j) = 58*j. Let v(s) = -2697*s. Give -232*b(c) - 5*v(c).
29*c
Let p(g) = -2*g**3 - 3*g. Let n(m) be the second derivative of -m**5/5 - 5*m**3/6 - 3*m. Let k be (-34)/(-10) - 6/15. Determine k*n(d) - 5*p(d).
-2*d**3
Let m(z) = -7*z - 11. Let r(q) = -3*q - 5. Give -4*m(l) + 9*r(l).
l - 1
Let v(j) be the second derivative of 3*j**3/2 + 3*j**2 - 2*j. Let m(l) = 8*l + 5. Let a be 3/(1 + 3/(-2)). Give a*v(z) + 7*m(z).
2*z - 1
Let m(w) = -w - 1. Let b(g) = 10*g - 14. Let a(v) = -b(v) + 5*m(v). Let h(o) = 7*o - 4. Calculate 4*a(n) + 9*h(n).
3*n
Let r(f) = -7*f**2 + 5*f - 5. Let q(m) = -11*m**2 + 8*m - 8. Suppose 0 = n + 5*n. Suppose -4*j - 32 = -n*j. Determine j*r(h) + 5*q(h).
h**2
Let p(b) be the third derivative of -b**6/40 + b**5/10 + b**4/4 - 6*b**2. Let s = 4 + 2. Let v(d) = -6*d**3 + 11*d**2 + 11*d. Calculate s*v(m) - 11*p(m).
-3*m**3
Let c(g) = 25*g - 2. Let z(l) = -13*l + 1. Give 3*c(r) + 5*z(r).
10*r - 1
Let f(d) = -7*d - 7. Let i(n) = -13 + 5 - 2*n - 6*n. Suppose -5*y - 5 = -v - 26, -2*y = -5*v - 36. Calculate v*f(h) + 5*i(h).
2*h + 2
Let n(y) = -y**2 - 3*y - 7. Let t(l) = -5*l**2 - 13*l - 29. Give -18*n(m) + 4*t(m).
-2*m**2 + 2*m + 10
Let k(n) = -n**2 + 2*n + 2. Let c(s) = 4 - 6*s**2 + 5*s**2 - 2*s + 4*s - 2. Give 5*c(z) - 6*k(z).
z**2 - 2*z - 2
Let i(f) = f - 3. Let u be i(6). Let b(s) = s**3 - s**2 + 2*s - 4. Let k(w) = -w**3 + w**2 - 3*w + 5. Give u*b(z) + 2*k(z).
z**3 - z**2 - 2
Let m(r) = -4*r**2 + 14*r - 6. Let v(i) = -i**2 + 5*i - 2. Give -5*m(g) + 14*v(g).
6*g**2 + 2
Let u(z) = -8*z**2 - 6*z**2 + 3*z**2. Let y(n) = -5*n**2. Determine -2*u(k) + 5*y(k).
-3*k**2
Let u(w) = 7*w**3 - 5*w**2 - 9*w - 2. Let a = -6 + -1. Let o(i) = -10*i**3 + 7*i**2 + 13*i + 3. What is a*u(t) - 5*o(t)?
t**3 - 2*t - 1
Let o(t) = -5*t**2 - 5*t**2 - 1 + 1. Suppose 0 = -4*g + 2*k + 16 - 0, 5*k + 13 = g. Suppose 2*y - g*y = 5. Let q(i) = 4*i**2. Determine y*o(w) - 12*q(w).
2*w**2
Let f(v) = -4*v - 5. Let t(q) = 0*q + 3*q - 2 - 12*q + 7*q. Suppose 2 + 0 = -m. What is m*f(k) + 5*t(k)?
-2*k
Let x(t) = -17*t + 5. Let k(i) = -6*i + 2. Suppose 0 = 2*u + 8 + 6. Let c = u - 4. Give c*k(d) + 4*x(d).
-2*d - 2
Let d(x) be the first derivative of x**2/2 + 3*x + 2. Let w(b) = -4*b - 11. Give 22*d(p) + 6*w(p).
-2*p
Let m(k) = 4*k**2 - 7 + 3 - k**2 - 2*k - k. Suppose 0 = 2*c + 2*w - 4, -2*c = 2*c + 2*w. Let f(h) = -7*h**2 + 7*h + 9. What is c*f(o) - 5*m(o)?
-o**2 + o + 2
Let b(k) = 4*k - 3. Let p(w) = w. Let c be (2/(-4) - 0) + (-17)/34. Calculate c*b(l) + 6*p(l).
2*l + 3
Let j(z) = 3*z - 19. Let a be j(4). Let s(w) = 24*w + 41. Let u(q) = -5*q - 8. Let l(t) = -2*s(t) - 11*u(t). Let f(b) = 8*b + 7. Determine a*l(h) + 6*f(h).
-h
Let s(l) = -l**3. Let x(y) = -2*y**3. Determine -5*s(i) + x(i).
3*i**3
Let v(g) = -2 + 3 - 6 - 5*g + 2. Let n(t)
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{
"pile_set_name": "DM Mathematics"
}
|
+ 29 for i.
7
Solve 38 + 2 = 8*f for f.
5
Solve -1428 + 1413 = 3*c for c.
-5
Solve -237*w + 258*w - 42 = 0 for w.
2
Solve -252*w = -245*w - 21 for w.
3
Solve 110 = -u + 111 for u.
1
Solve -730*w - 24 = -726*w for w.
-6
Solve -199 = -15*f - 94 for f.
7
Solve 114*i + 41 = -73 for i.
-1
Solve 14*n - 5*n + 27 = 0 for n.
-3
Solve 0 = 129*t - 138*t + 9 for t.
1
Solve -6*g = -17 + 47 for g.
-5
Solve 523 - 535 = 3*i for i.
-4
Solve 959 = -23*h + 1028 for h.
3
Solve -21*y = -18*y - 6 for y.
2
Solve 22*r - 19*r + 15 = 0 for r.
-5
Solve 6*c = 19*c - 8*c for c.
0
Solve 136*l + 42 = 129*l for l.
-6
Solve -283*q - 32 = -275*q for q.
-4
Solve 12*k = -2713 + 2785 for k.
6
Solve -43*o - 79 = 7 for o.
-2
Solve -9*w = -7*w + 8 for w.
-4
Solve 41*q + 210 - 5 = 0 for q.
-5
Solve 4*r + 6*r - 30 = 0 for r.
3
Solve 10*n + 14*n - 168 = 0 for n.
7
Solve 8*c + 33 = -15 for c.
-6
Solve -36*c + 30 = -6*c for c.
1
Solve -2*r - 177 = -191 for r.
7
Solve 0 = -9*a - 6*a for a.
0
Solve -5*z + 2*z = 6 for z.
-2
Solve 11*t = -0*t + 11 for t.
1
Solve -9*s = -5*s for s.
0
Solve -155 + 223 = 34*p for p.
2
Solve 3*a = -5 + 14 for a.
3
Solve -108 + 68 = 8*n for n.
-5
Solve 14 + 22 = 9*o for o.
4
Solve -611*u = -610*u + 4 for u.
-4
Solve 0 = 7*k - 3*k for k.
0
Solve 21*t + 64 = 43 for t.
-1
Solve 3*c - 17*c = -42 for c.
3
Solve 56*m = 49*m + 56 for m.
8
Solve 1289*u + 4 = 1293*u for u.
1
Solve -24 = 12*y - 4*y for y.
-3
Solve 251 + 78 = 47*t for t.
7
Solve -15*h + 42 = -93 for h.
9
Solve -d - 11*d - 36 = 0 for d.
-3
Solve 62 - 74 = -3*p for p.
4
Solve 4*n = 8 - 0 for n.
2
Solve -2*r + 8 - 6 = 0 for r.
1
Solve 23*h = -58 + 173 for h.
5
Solve -17*q = 32 + 19 for q.
-3
Solve 0 = 72*y + 263 + 241 for y.
-7
Solve -16*n + 23*n + 14 = 0 for n.
-2
Solve 76 = 4698*a - 4717*a for a.
-4
Solve x = 8 - 10 for x.
-2
Solve 9*r = -133 + 160 for r.
3
Solve 0 = 40*g - 278 - 82 for g.
9
Solve 8*f + 25 = 17 for f.
-1
Solve -4*i = -10 + 14 for i.
-1
Solve 34*l - 35*l - 2 = 0 for l.
-2
Solve 9 = 3*z - 0 for z.
3
Solve -102 = 27*p + 60 for p.
-6
Solve -11*o - 11 = -44 for o.
3
Solve 12*m = -6*m - 18 for m.
-1
Solve 0 = -4*w - 22*w - 182 for w.
-7
Solve -329 = 7*u - 350 for u.
3
Solve 0*n + 9*n + 36 = 0 for n.
-4
Solve -q - 36 = 5*q for q.
-6
Solve 5*x + 735 - 770 = 0 for x.
7
Solve 11*v - 59 + 15 = 0 for v.
4
Solve 5*v = -9*v + 112 for v.
8
Solve 211 = 3*h + 196 for h.
5
Solve 25*o - 10 = 30*o for o.
-2
Solve -2*h = 3*h + 20 for h.
-4
Solve 14 = -83*a + 85*a for a.
7
Solve -40 + 1 = -13*v for v.
3
Solve a = 3*a - 2 for a.
1
Solve m - 24*m - 115 = 0 for m.
-5
Solve 27*h - 48*h - 105 = 0 for h.
-5
Solve 448*a = 475*a + 54 for a.
-2
Solve -72 = 10*c + 8 for c.
-8
Solve -14 = 17*y - 65 for y.
3
Solve 0 = 2*o + 5 - 1 for o.
-2
Solve -4*j - 3 + 11 = 0 for j.
2
Solve 56 = -33*w - 109 for w.
-5
Solve -45*m = -38*m + 21 for m.
-3
Solve 10 + 17 = -9*o for o.
-3
Solve 22 = 4*o - 6 for o.
7
Solve -58*q + 61*q = 15 for q.
5
Solve 10 = -7*b - 4 for b.
-2
Solve 10*i - 5 = 11*i for i.
-5
Solve -16 - 24 = -10*j for j.
4
Solve -46*d = -45*d - 2 for d.
2
Solve 0 = -5*s + 41 - 26 for s.
3
Solve 1625 = 13*o + 1638 for o.
-1
Solve -36*h + 141 = -39 for h.
5
Solve -5*p + 1 + 4 = 0 for p.
1
Solve -20 = -12*u + 4 for u.
2
Solve -4*y = 1 + 11 for y.
-3
Solve -49*b + 40*b = -18 for b.
2
Solve -12*p - 43 + 19 = 0 for p.
-2
Solve -15*b + 17 = -58 for b.
5
Solve 9*p - 49 + 121 = 0 for p.
-8
Solve 0*o = -2*o - 2*o for o.
0
Solve -x + 32 = 7*x for x.
4
Solve 0 = -23*b + 15*b + 24 for b.
3
Solve -58*o = -61*o + 9 for o.
3
Solve 0 = -126*n + 130*n - 16 for n.
4
Solve b = 5*b for b.
0
Solve -321 + 307 = 7*k for k.
-2
Solve -27*r - 136 = -44*r for r.
8
Solve 6 = 17*v - 19*v for v.
-3
Solve -34*q - 8 = -36*q for q.
4
Solve 50*h + 132 = 17*h for h.
-4
Solve -4*c + 6*c - 6*c = 0 for c.
0
Solve -7*q + 155 = 211 for q.
-8
Solve -7*l + 2*l = -20 for l.
4
Solve 0 = 13*g - 79 + 40 for g.
3
Solve -31 = 5*x - 21 for x.
-2
Solve 111*r - 24 = 105*r for r.
4
Solve -62 = 20*x + 78 for x.
-7
Solve -49*h + 51*h = 0 for h.
0
Solve 22*q - 155 + 23 = 0 for q.
6
Solve 3*x - 77 = -8*x for x.
7
Solve -3*q + 22 = -14*q for q.
-2
Solve -16*f + 63 = -33 for f.
6
Solve 0*c + 231 = 33*c for c.
7
Solve 105*o - 106*o = -4 for o.
4
Solve 11*o = 43 + 1 for o.
4
Solve -65*x - 69 = -88*x for x.
3
Solve 42 = -656*y + 663*y for y.
6
Solve 10*p = 4 + 36 for p.
4
Solve 0 = 169*g - 165*g for g.
0
Solve 74*u = 77*u for u.
0
Solve 0 = -80*p + 25*p + 55 for p.
1
Solve 12*j = 16*j - 28 for j.
7
Solve 52 = -24*p + 11*p for p.
-4
Solve 40 + 55 = 19*b for b.
5
Solve 46*i - 75*i = 232 for i.
-8
Solve 4*w + 6 = -6 for w.
-3
Solve -43*t = 22 + 64 for t.
-2
Solve -7*b - 36 = -15 for b.
-3
Solve -21 = 10*u - 3*u for u.
-3
Solve 4*a + 8*a = 0 for a.
0
Solve 35 = -8*t + 15*t for t.
5
Solve 292 = -16*f + 260 for f.
-2
Solve -20 = -2*h - 30 for h.
-5
Solve -9*h + 8*h + 4 = 0 for h.
4
Solve 433 = 6*u + 439 for u.
-1
Solve -80 = -12*r + 22*r for r.
-8
Solve 0 = -50*g + 28*g - 88 for g.
-4
Solve -302*s + 66 = -313*s for s.
-6
Solve 11 = 2*g + 7 for g.
2
Solve -24*s = -25*s + 4 for s.
4
Solve 7*l + 17 = -4 for l.
-3
Solve 10 - 10 = -i for i.
0
Solve 0 = -1385*h + 1395*h - 60 for h.
6
Solve 7*i = 38 - 3 for i.
5
Solve 0 = -7*k - 62 + 55 for k.
-1
Solve 56 = 15*x + 26 for x.
2
Solve 0 = 4*v + 8*v + 48 for v.
-4
Solve 2*m + 16 = 10 for m.
-3
Solve -6*s - 1 = 5 for s.
-1
Solve -z + 63 - 58 = 0 for z.
5
Solve -25*v = 15*v - 40 for v.
1
Solve 9 = -352*u + 343*u for u.
-1
Solve 79*m - 40 = 89*m for m.
-4
Solve 17*f = 14*f for f.
0
Solve -16 + 6 = -5*t for t.
2
Solve -8 = -8*v + 10*v for v.
-4
Solve 735 = -25*v - 80*v for v.
-7
Solve 86*q - 111*q = 0 for q.
0
Solve 41*u = 21*u + 40 for u.
2
Solve -7*z - 8 + 8 = 0 for z.
0
Solve 34*n - 4 = 38*n for n.
-1
Solve -97 = 32*t - 65 for t.
-1
Solve -36*m - 32 = 184 for m.
-6
Solve 68 = -9*d + 50 for d.
-2
Solve 588 = 49*c + 35*c for c.
7
Solve -18*d + 86 + 4 = 0 for d.
5
Solve -1 = -21*h - 22 for h.
-1
Solve 4*x = 2*x for x.
0
Solve 114 = -225*c + 244*c for c.
6
Solve 4*z = 1 - 25 for z.
-6
Solve -45 = -3*n - 30 for n.
5
Solve -11*f + 149 = 72 for f.
7
Solve 167*p - 404 = 66*p for p.
4
Solve 6*q = -6*q - 48 for q.
-4
Solve -12*y + 8*y = 8 for y.
-2
Solve -11*z + 192 - 104 = 0 for z.
8
Solve 124 - 46 = 39*y for y.
2
Solve 188 = 39*u + 8*u for u.
4
Solve -16*t - 14 = -9*t for t.
-2
Solve 103*p = 94*p - 9 for p.
-1
Solve 28*p + 15 = -13 for p.
-1
Solve 10*i - 14*i = -16 for i.
4
Solve 5 = -30*w + 25*w for w.
-1
Solve 30 - 85 = -11*k for k.
5
Solve 4 = -7*n + 11 for n.
1
Solve -8943*u + 8938*u + 15 = 0 for u.
3
Solve -6*h + 13*h = 9*h for h.
0
Solve 10*p + 47 = 7 for p.
-4
Solve 99 = 44*n - 55*n for n.
-9
Solve 4*a - 86 + 66 = 0 for a.
5
Solve 9*o - 12 = 6*o for o.
4
Solve 53 - 25 = 7*c for c.
4
Solve -2*s = 8*s - 50 for s.
5
Solve -28*l + 21*l + 14*l = 0 for l.
0
Solve 0 = 41*t - 57 - 25 for t.
2
Solve 0 = -k - 7*k for k.
0
Solve 4*t + 339 = 319 for t.
-5
Solve 77*w = 76*w - 8 for w.
-8
Solve -7*a + 4 = -9*a for a.
-2
Solve -39*y = -35*y for y.
0
Solve -18*b = 8*b for b.
0
Solve 189*u = 178*u - 77 for u.
-7
Solve 0 = 52*q - 209 - 311 for q.
10
Solve -c + 96 = 31*c for c.
3
Solve d + 1270 = 1275 for d.
5
Solve 10 - 30 = -5*y for y.
4
Solve 0 = -257*g + 285*g + 224 for g.
-8
Solve -182 + 62 = 30*y for y.
-4
Solve 0 = -19*g + 38*g + 133 for g.
-7
Solve -3*r = -11 + 5 for r.
2
Solve 31*g = 28*g for g.
0
Solve -4 + 3 = -b for b.
1
Solve -38 + 13 = -5*b for b.
5
Solve -12 + 14 = w for w.
2
Solve -26 + 91 = -13*r for r.
-5
Solve 17 - 73 = -8*k for k.
7
Solve 4*p - 18*p = -98 for p.
7
Solve 0*m = -79*m - 316 for m.
-4
Solve 15 = 11*y - 6*y for y.
3
Solve 2*r = 1 - 5 for r.
-2
Solve -4999*q + 4998*q + 5 = 0 for q.
5
Solve 0 = -4*d + 2*d + 3*d for d.
0
Solve -61 - 64 = 25*z for z.
-5
Solve 5*x + 327 = 307 for x.
-4
Solve 15*q - 177 + 282 = 0 for q.
-7
Solve -b + 11 = -12*b for b.
-1
Solve 11 = 3*m + 23 for m.
-4
Solve -6*j = 3*j + 11*j for j.
0
Solve -19*a = -158 + 44 for a.
6
Solve -115*p = -56*p + 354 for p.
-6
Solve -8*o + 12*o = -8 for o.
-2
Solve 6*r = -26 + 8 for r.
-3
Solve 22 = 7*w - 13 for w.
5
Solve 7*b + 10 = 17*b for b.
1
Solve 5*c + 2*c + 0*c = 0 for c.
0
Solve -4*h = -6*h for h.
0
Solve 0 = 167*l - 166*l + 4 for l.
-4
Solve 2*k - 5*k - 6 = 0 for k.
-2
Solve 0
|
{
"pile_set_name": "DM Mathematics"
}
|
= 1 - 1. Suppose u = 21*f - 24*f - 9. What is the units digit of (-1)/f - 663/(-9)?
4
Let f = 61920 - 44053. What is the thousands digit of f?
7
Let y(j) = -79*j**3 + 20*j**2 - 9*j - 49. What is the hundreds digit of y(-5)?
3
Suppose 2*f = -f + 561. Suppose -3 = -3*x, -410 = -2*o - 5*x + f. What is the units digit of (o/(-6))/(2/(-3))?
4
What is the units digit of (-177)/((-17)/((-112574)/(-33)))?
8
Let p(q) = -q**2 + 15*q - 5. Let b be p(4). Let c(j) = j - 10. Let w be c(13). Suppose r - f = 178, -w*f = -r + b + 135. What is the tens digit of r?
8
Let b(h) = -34*h**3 + h**2 + 2*h - 1. Let y be b(4). Let i = -1453 - y. What is the units digit of i?
0
Let o(x) = -86*x**3 + 5*x**2 - 3*x - 110. What is the thousands digit of o(-7)?
9
Suppose -153*g + 15984 = -145*g. Suppose 0 = 6*r - g - 1170. What is the units digit of r?
8
Let x(y) = 2*y**2 + 8*y + 970. Let h be x(0). Suppose -3*s + h = -5*m, 3*s - 9*m - 935 = -11*m. What is the tens digit of s?
1
Let z = 5349 - -412. What is the hundreds digit of z?
7
Let c = 19 - 11. Suppose 135 = -c*q - q. What is the units digit of 104/3*q/(-4)?
0
Suppose 0 = 28*y + 211387 - 832763. What is the thousands digit of y?
2
Suppose 574 = 28*u - 378. Let k(q) = -q**3 + 37*q**2 - 74*q - 75. What is the hundreds digit of k(u)?
8
Let w(b) = 5*b**2 + 31*b + 1485. What is the thousands digit of w(-26)?
4
Let s = 14635 + -2819. What is the tens digit of s?
1
Suppose 2*o + 3*w = 10777 + 46815, 2*w - 143980 = -5*o. What is the tens digit of o?
9
Let i = -299 - -304. What is the hundreds digit of (1 - 5)/(2*i/(-1790))?
7
What is the tens digit of (-96)/(-24) - ((-5960)/(-15))/(2/(-12))?
8
Let k be (4 + -10)/((-12)/(-376)). Let p = k - -479. What is the units digit of p?
1
Let b(i) = -24*i + 1. Let z be b(-1). Let x be ((-21)/(-7) - 1)*-7. Let t = z + x. What is the tens digit of t?
1
Suppose 0 = 364*j - 360*j + 5*d - 53400, -3*d + 40050 = 3*j. What is the ten thousands digit of j?
1
Let o be (3/1)/((-174)/(-78) + -2). Let t be (1/2 + 0)/(o/2106). What is the units digit of (-7)/(1 - 84/t)?
9
Let f(r) = r**2 + 4. Let t be f(4). Let w = t - 24. What is the hundreds digit of (99 + w/(-2))/(2 + -1)?
1
Let p(n) = 723*n**3 - 6*n**2 - 8*n + 3. Let l be p(-3). What is the tens digit of (0 - -1)/((-27)/l)?
2
Let i(a) = a**3 - 2*a**2 + 4*a - 1. Let t be i(2). Suppose -3917 = -t*j + 6828. What is the tens digit of j?
3
Suppose -127760 = -5*x - 17*r + 18*r, -2*x + 3*r = -51104. What is the thousands digit of x?
5
Suppose 21*h + 276 = 33*h. Let y(c) = c**3 - 19*c**2 - 75*c + 34. What is the hundreds digit of y(h)?
4
Let z(b) = -b - 13. Let n be z(-20). Let c = -7 + n. Suppose c = -4*u, -2*f = -u - 181 - 121. What is the units digit of f?
1
Suppose 7*y - 16443 = -14*y. Suppose -8*m + y = -1249. What is the hundreds digit of m?
2
What is the tens digit of (-3)/6*(240774/9)/(49/(-147))?
2
Suppose z - 3505 = 1417. What is the thousands digit of z?
4
Suppose -1743916 - 416715 = -103*f. What is the ten thousands digit of f?
2
What is the tens digit of (-8399908)/(-484) + 7/(231/(-6))?
5
Let y(f) = 54*f**2 + 65*f - 29. What is the units digit of y(-9)?
0
Let u be (-2)/(-1) - (22 + 184). Let n = u - -506. What is the tens digit of n?
0
Let h(i) = 364*i + 876. What is the units digit of h(26)?
0
Let v = 170 + -190. What is the tens digit of (v + 0)/(60/(-270))?
9
Let v = -3 - -9. Suppose 447 - 87 = v*g. What is the hundreds digit of ((-10)/g - 38/6)*-46?
2
Let l(r) = -237 - r + 4*r**2 + 234 + 2*r. Let i be l(1). What is the tens digit of (1 + 0)/(4024/2008 - i)?
5
Suppose -3*b - 6 = -3*r - 39, -4*r = -b + 47. Let q be 8/r - (-431)/3. Let g = q + -79. What is the tens digit of g?
6
Let m(x) = -4*x + 6. Let w = -394 + 395. What is the units digit of m(w)?
2
Let b(p) = p**3 - 11*p**2 + 2*p + 15. Let s be b(11). Suppose -5*o = 2*a - 21, 5*a - 3*o + 0 - s = 0. Suppose a*w - 7*w - 82 = 0. What is the units digit of w?
2
Let p(g) = -3*g + 5. Let i be p(8). Suppose -y + 48 = -5*n, -9*y + 14*y - 320 = 5*n. Let h = i + y. What is the tens digit of h?
4
Let s(k) = 97*k**2 - 5*k + 7. Suppose -3*c + 11 = -l, -4*c - 31*l + 33 = -36*l. What is the tens digit of s(c)?
8
What is the thousands digit of ((-19908)/(-63))/((-2)/(-29))?
4
Let l = 113 + -60. Let k = l + -17. Suppose 3*a + k = y, 3*y = -2*a + 6 + 58. What is the tens digit of y?
2
Let t = -1786 - -2616. Suppose 5*o - 885 = 3*z + t, 5*o = -5*z + 1715. What is the units digit of o?
3
Let x(l) = 2*l**2 - 30*l - 738. What is the hundreds digit of x(42)?
5
Let w(p) = 329*p + 852. What is the tens digit of w(74)?
9
What is the tens digit of (-15)/(20148/(-1184) - -17)?
8
Suppose 0 = 2055*g - 2051*g - 4*h - 53768, 5 = 5*h. What is the ten thousands digit of g?
1
What is the hundreds digit of -14*(-18 + 7581/(-42))?
7
Let k be (-1)/4 - 883/4. Let m(b) = -42*b + 38. Let g be m(4). Let n = g - k. What is the units digit of n?
1
Let p = 43 - 26. Let b(f) = 2*f**2 - 19*f - 107. What is the tens digit of b(p)?
4
Let a = -1514 + 12957. What is the thousands digit of a?
1
Suppose 216*m + w = 215*m + 50415, -3*w - 201604 = -4*m. What is the units digit of m?
7
Suppose -5*u - 5*g - 1260 = 0, 4*g = 4*u - 423 + 1439. Let k = -38 + u. Let q = k + 491. What is the units digit of q?
0
Let w(z) = -2*z**2 + 7*z + 52. Let b = -122 - -117. Let p(x) = -x**2 + 3*x + 27. Let a(f) = b*p(f) + 2*w(f). What is the units digit of a(-9)?
9
Let m be ((-3672)/20)/((-12)/10 + 1). Suppose 0 = -2*t - 2*s + 366, -2*t + 4*s = -7*t + m. What is the hundreds digit of t?
1
Suppose -21*n = -84071 - 170323. What is the ten thousands digit of n?
1
Let z(v) = -4*v**2 - 93*v - 9. Let f(u) = -2*u**2 - 45*u - 4. Let h(k) = -5*f(k) + 2*z(k). What is the tens digit of h(11)?
7
Suppose 3*x - 427 = 2*r, -61*r + 56*r - x = 1059. What is the units digit of (-15317)/r*24/2?
7
Let c(j) = 620*j - 730. Let v(g) = 23*g - 27. Let d = 65 + -10. Let o(w) = d*v(w) - 2*c(w). What is the tens digit of o(5)?
0
Let i be -4 - 997/(-4) - 1/4. Let p = 1450 - i. Suppose -36*s + 31*s + p = 0. What is the hundreds digit of s?
2
Let n(m) = m - 7. Let f = -115 - -123. Let d be n(f). What is the units digit of 2*6/(-12)*(-45 + d)?
4
What is the tens digit of (2*125/25)/((-3)/(-705))?
5
Let s(w) = -40*w - 160. Let a(u) = 3. Let y(k) = 4*a(k) + s(k). What is the tens digit of y(-9)?
1
Let v = -39753 - -106029. What is the thousands digit of v?
6
Let j be 13/2 + (0 - (-9)/(-6)). Suppose 6*g = 4*g - 2*h + 74, -j*g = h - 197. Let d = 48 - g. What is the units digit of d?
8
Let p = 597 - 574. Suppose -3261 = -p*a + 20*a. What is the thousands digit of a?
1
Suppose d - 40*l - 32204 = -41*l, -5*d + l = -160966. What is the thousands digit of d?
2
Let t(k) = -k**3 - 39*k**2 - 55*k - 111. Let x(h) = 10*h + 12. Let c be x(-5). What is the tens digit of t(c)?
3
Let l(o) = 1283*o**2 - 125*o - 489. What is the thousands digit of l(-8)?
2
Suppose -4*w + 272 = -4*y, 2*w - 33 = y + 35. Let d = y + 68. Suppose -3*b + 123 + 66 = d. What is the units digit of b?
3
Let h(l) = -1103*l - 4437. What is the ten thousands digit of h(-15)?
1
Suppose -m = -r - 9, -7 - 10 = -2*m + 3*r. Let t be (552/m)/((-3)/(-15)). What is the units digit of (-14)/35 - (2 - t/15)?
6
Let f be 10/4 - (-9)/6. Suppose -5*t + f*s = -994, -5*t + 394 = -s - 612. What is the units digit of t?
2
Let u(n) = 12*n + 1. Suppose 11*c = 12*c - 3. Suppose -5*b + 35 = 5*w, 3*w - 6*b = -3*b + c. What is the units digit of u(w)?
9
Let w = -171 - -173. What is the units digit of w/(12/147)*(-20 + 42)?
9
Let v(z) be the second derivative of -10*z**3/3 + 7*z**2/2 - 2*z - 10. What is the units digit of v(-22)?
7
Suppose 9*x + 130 = 4*x. Let i = x + 27. Let a = i - -51. What is the units digit of a?
2
Let i(p) = -8*p - 25. Let j be 575/(-7) + 2/14. Let r = j + 74. What is the units digit of i(r)?
9
Let f = -1796 - -2284. What is the hundreds digit of f?
4
Suppose -14*u + 666119 = 26*u - 1810041. What is the hundreds digit of u?
9
Suppose 3*y - 3*x + 32522 = 8*y, 26004 = 4*y - x. What is the hundreds digit of y?
5
Let l = 103 + -98. Suppose 0 = l*b + 15, -r + 4*b = -2*r - 5. Suppose -2*j + r*j - 690 = 0. What is the tens digit of j?
3
What is the hundreds digit of (-8)/10 - (-7738)/10?
7
Let v(j) = 851*j**2 + 10*j + 103. What is the units dig
|
{
"pile_set_name": "DM Mathematics"
}
|
o = 179, -2*i - 4*o + 66 = 0. Is i composite?
False
Let u be (-3)/9 + 43/3. Suppose -5 - u = -g. Is g a composite number?
False
Suppose -33*u - 8716 = -37*u. Is u composite?
False
Let q(x) = 10*x**3 - 2*x + 3. Let g be 15/(-3)*(-2)/5. Is q(g) a prime number?
True
Suppose -2*u - 4*g + 796 = -5*g, -4*g + 1580 = 4*u. Is u a composite number?
False
Let k = 6 + -6. Suppose -3*y - 29 - 145 = k. Let z = 93 + y. Is z a composite number?
True
Let g(h) be the first derivative of -1/4*h**4 + 2*h**2 + 2 + 5/3*h**3 - 7*h. Is g(5) prime?
True
Is (-297869)/(-65) - (-4)/10 a prime number?
True
Let f = 8 + -5. Suppose 0*b - f*b = -48. Suppose -3*c = -7*c + b. Is c a prime number?
False
Suppose -32 = 2*v + 2*v. Let c be (v + 0 + 3)*-1. Suppose 18 = m + 3*t - 32, -c*m + 345 = -4*t. Is m composite?
True
Suppose 2*n + 29 = 4*p + 1193, n + 4*p - 594 = 0. Is n a composite number?
True
Let q(n) = n + 92. Let t be q(0). Let u = t + -15. Is u prime?
False
Let v(t) = t + 6. Let h be v(-6). Suppose -2*u - 2 = -h*u - 4*y, -u + y = 6. Let p = 30 + u. Is p a prime number?
True
Let i(j) be the third derivative of j**5/15 - j**4/6 + 3*j**3/2 + j**2. Is i(-7) prime?
True
Let j = 1 - 1. Let b be ((-4)/(-6) + j)*183. Suppose -2*n - 2*k + 284 = 0, -2*n + 160 = 4*k - b. Is n a prime number?
False
Let m(d) = d**3 + 8*d**2 + 3*d - 5. Let b be m(-6). Is 6990/14 + (-14)/b composite?
False
Let l(k) = -k**3 - 4*k**2 + 5. Let d be l(-4). Suppose -3*p + 37 = -2*s - 25, -2*s - 62 = d*p. Let m = -22 - s. Is m a prime number?
False
Let c(n) = -633*n - 2. Is c(-1) a prime number?
True
Suppose 613 + 111 = 4*v. Suppose v = -5*c + 826. Is c a composite number?
True
Suppose 0 = -5*b + 639 + 436. Is b composite?
True
Let x(v) = -2*v**3 - 2*v**2 + v + 2. Let g be x(2). Suppose b + 0 = 42. Let k = b + g. Is k a prime number?
False
Suppose 0 = d + o - 989, 3*d = -0*d - 2*o + 2969. Is d a prime number?
True
Suppose m + 9*p + 15 = 4*p, m + 4*p = -13. Is 73/5 + (-2)/m a prime number?
False
Suppose 2*t - 6*t = -232. Is t composite?
True
Let z(h) be the second derivative of 19*h**5/10 - h**4/6 + h**3/2 - 7*h. Is z(2) a composite number?
True
Let l = 19 - 13. Let i(o) = o**2 + 7 + 0*o**2 + 5*o**3 - 4*o**3 - 5*o**2 - 2*o. Is i(l) a composite number?
False
Let u = 33 - -10. Let z = 10 + -5. Suppose 0 = z*n - u + 8. Is n a prime number?
True
Suppose 0*c = 2*c - 8. Suppose d + 2*y - 5*y - 2 = 0, -c = -2*d + 3*y. Suppose m + d*m = 207. Is m a prime number?
False
Suppose 1127 = -2*g + 4*g - f, 2819 = 5*g - 4*f. Is g composite?
False
Suppose -t + 62 = -57. Let g = t + -34. Is g prime?
False
Suppose 0 = -3*v + p + 116, -6*p = 5*v - p - 180. Suppose -4*s + 166 + v = 0. Suppose -3*y = -4*q + 317, y = 3*q + s - 285. Is q prime?
False
Let u be (-2676)/44 - (-4)/(-22)*1. Let q = 179 - 39. Let l = u + q. Is l a composite number?
False
Is -5*((-498)/(-15))/(-2) a composite number?
False
Let i = 19 - 11. Let z(w) = w**2 - 5*w - 5. Is z(i) composite?
False
Let d be (3/(-6))/((-2)/(-4)). Is (-159 - d)*1/(-2) a prime number?
True
Is (-2)/7 - 736/(-28) composite?
True
Let o(y) = 6*y**2 + 4*y + 1. Is o(-8) a prime number?
True
Suppose 4*j + 0*j - 16 = 0. Suppose 7 = -5*u - 13, -j*u - 848 = -4*w. Suppose 4*m - 100 = w. Is m a prime number?
False
Let r(m) = m**2 + 9*m + 8. Let k be r(-9). Let b(o) = -o**3 + 8*o**2 + 7*o - 2. Let f(x) = -1. Let j(c) = b(c) - f(c). Is j(k) a prime number?
False
Let m = -3247 + 4646. Is m a prime number?
True
Let h(x) = 2*x - 15. Let t be h(10). Let d(c) = 40*c + 3. Is d(t) a composite number?
True
Let k(b) = 146*b - 11. Is k(4) composite?
True
Let s = -4199 - -7860. Is s composite?
True
Is (-1 - 1) + (32 - 25/(-5)) a composite number?
True
Let m be (2/(-3))/(2/(-30)). Suppose 0 = 2*b - b + 2*g + m, -15 = b + 3*g. Suppose d + 2*v - 13 = 59, 5*v + 5 = b. Is d prime?
False
Let q(g) = -g - 4. Let z be q(-7). Is -4 + -1 + z + 113 prime?
False
Suppose -5*s + 1013 - 358 = 0. Is s composite?
False
Let g(f) = -f**3 - f + 1. Let d be g(0). Suppose -2*n + 7 = -3*u, -4*n + n - 9 = 2*u. Is d*7 + (-3 - u) prime?
True
Let o = 1 - -2. Is (-191)/o*(-8 - -5) composite?
False
Suppose -1776 = -4*k + 4*o, -5*k + 0*o - 4*o + 2211 = 0. Is k a prime number?
True
Suppose o + 24 = 5*q - 2*o, o - 6 = -3*q. Suppose 2*t = -q*t + 20. Is t/14 - (-89)/7 a composite number?
False
Suppose -2*k + 10 = -q, 0*k - 4*q + 2 = -2*k. Is k composite?
False
Is (-6)/8 - (3114/(-24) + 2) a prime number?
True
Is 1927 - ((-2)/2 - 3) prime?
True
Suppose -4*z + 3*w + 9175 = 0, -2*z + 4589 = 3*w - 6*w. Is z composite?
False
Let x = 5 - 18. Let z = x + 98. Is z a prime number?
False
Suppose -2*a - 2*w = -8, 0*w = -a + 3*w + 12. Let z(s) = s**2 - 5*s + 4. Let v be z(3). Is 3/a - 97/v a prime number?
False
Let a = 9 - 5. Suppose -a*r = -646 - 382. Is r composite?
False
Let m(f) = -f**2 + 44*f - 6. Is m(13) prime?
True
Suppose 4*m = y + 9340, 2*m + y - 3493 - 1177 = 0. Is m composite?
True
Let o be 424/(-2) + (2 - 0). Let y = 617 + o. Is y a prime number?
False
Let d be 2/(-7) + 444/84. Suppose -460 = o - d*o. Is o composite?
True
Suppose 4*a - 986 = 1082. Is a prime?
False
Suppose -1936 = -3*l + 65. Is l a composite number?
True
Let x(b) be the first derivative of -2 + 1/3*b**3 + 35*b + 1/4*b**4 + 0*b**2. Is x(0) prime?
False
Let g be 108/((20/(-14))/(-5)). Suppose -o + g + 683 = 0. Is o prime?
True
Is ((-2)/(-4) + -1)/(2/(-3916)) prime?
False
Let n(z) = 7*z**2 + 11*z - 5. Let v(x) = 6*x**2 + 10*x - 4. Let o(f) = 5*n(f) - 6*v(f). Let i be o(-5). Let s = 4 + i. Is s composite?
False
Let h = -16 + 21. Suppose n = 2*n - 2*f - 9, 2*n = h*f + 16. Is n a prime number?
True
Suppose -q - 3*k + 11 = 0, -3*q - 8*k + 4*k = -8. Is (-10)/3*114/q a prime number?
False
Is 14738*1/8*4 composite?
False
Suppose -2*v + 64 = 2*z, 0*v - 5*z = -v + 20. Let o = v - 7. Is o composite?
False
Suppose 9 + 0 = 3*y, -4*w - 3*y + 349 = 0. Is w*((-66)/(-15) + -4) a composite number?
True
Is ((-10)/(-3))/((-2)/(-303)) composite?
True
Let n = 288 + -139. Is n prime?
True
Let r(x) = -6*x**3 + 4 - 2*x**2 - 3 - 19*x**3. Let j be r(-1). Suppose 2*u - 3*i = 8, -4*u + i = -j - 12. Is u a composite number?
True
Let d = 6 + -3. Suppose 0 = d*k + k - 140. Is k a prime number?
False
Let x(f) = -5*f**3 - f + 2. Let q be x(-3). Let y = 2 - 0. Suppose -2*j - y*j + q = 0. Is j prime?
False
Let y = -298 + 1230. Let t = 1417 - y. Is t prime?
False
Let k(h) = 7*h**2 + 3*h + 1. Let g be k(-1). Let z(f) = 5*f**2 + f - 7. Is z(g) prime?
False
Let q be 3/1 + 0 - -2. Suppose m + 3*m - 38 = 5*t, -t = m - q. Is m composite?
False
Let l(x) be the first derivative of 8*x**3/3 - x**2/2 - x + 1. Let c be l(2). Let n = c - 10. Is n a prime number?
True
Let q(f) = -26*f - 21*f - 1 - 1 + 10. Is q(-7) prime?
True
Let k(t) be the first derivative of 17*t**3/3 + t**2 + 3*t - 1. Is k(-2) a prime number?
True
Suppose -3*t + 29 = 4*k + 7, 4*k = -2*t + 20. Let w(a) = -a**3 + a**2 + 5*a - 5. Let i be w(k). Let o = i + 196. Is o a prime number?
True
Suppose 166 + 359 = 5*a. Suppose -4*n = -n - a. Is n composite?
True
Let k = 5 - 1. Let v be 344/9 - k/18. Is (-2)/(-3 - v/(-14)) a composite number?
False
Is 3632/40 + 1/5 a prime number?
False
Let m(g) = 14*g + 37. Let t(z) = -9*z - 25. Let s(w) = 5*m(w) + 7*t(w). Is s(11) a prime number?
False
Let f = 30 - -44. Is f a composite number?
True
Let d(f) be the second derivative of f**5/10 - f**4/12 + f**3/6 - 2*f. Is d(2) prime?
False
Is (-3 + (-168)/(-9))*21 a composite number?
True
Let g(m) be the first derivative of -m**3/3 - 7*m**2/2 + 8*m - 7. Let d(i) = -2*i**2 + 4*i. Let j be d(3). Is g(j) composite?
True
Suppose -4*c = -113 - 59. Is c composite?
False
Let n(r) = -10*r + 1. Let j be n(-3). Is 2 + -1 + j*24 a prime number?
False
Let o = -70 + 337. Let l = 446 - o. Suppose -c + 2*y = 6*y - l, 537 = 3*c + 5*y. Is c a composite number?
False
Is 1 - -3*(3 + 139) prime?
False
Suppose -5*h + 5 = -0, -2*j - 5*h + 11 = 0. Let o = 5 + 1. Suppose j*s = 6 + o, 5*s = 4*y + 12. Is y prime?
True
Suppose -4 = n - 73. Is n a composite number?
True
Let a(c) = c**3 + 10*c**2 + 8*c - 11. Let l be a(-9). Let o(n) = 7 + 23*n**2 - 4 - 4 + 2*n. Is o(l) composite?
True
Let n = -4 + 9. Suppose n*c + 57 = 3*w, -3*c - 31 = 3*w + 8. Is (-1040)/c - (-1)/3 a composite number?
True
Suppose -2*l +
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of 5*q**2/2 - 3*q - 45. Let c(l) = 15*l - 8. Let k(i) = 4*c(i) - 11*d(i). Calculate k(4).
21
Suppose 4*v = -q + 7, -4*q - 105 + 25 = -2*v. Let o(t) = t**2 + 18*t + 5. Determine o(q).
-12
Suppose -5*z - 3*p + 57 = 0, 2*p + 0 + 2 = 0. Let s(b) = -29 - 11*b + z*b + 10. What is s(14)?
-5
Suppose -3 = -18*c + 267. Let z(w) be the third derivative of c*w**2 - 1/8*w**4 + 0*w + 0*w**3 + 0. Give z(1).
-3
Let h(y) = 7*y - 2. Let l be (-10)/1*(44/(-8) + 5). Suppose -5*d + 0*j = -5*j, -4*d - l = j. Let m be (d/(-6)*2)/(18/162). Determine h(m).
19
Let m(r) = 2*r - 27. Let n(k) = -5*k + 45. Let a(y) = -10*m(y) - 6*n(y). Let q(b) = -2*b**2 - b. Let h = 3 + -4. Let f be q(h). Calculate a(f).
-10
Suppose -2*s = -5*c + 2*c - 12, 0 = 2*s - 4*c - 14. Let w(g) = g**3 + 5*g + 112 - 2*g**3 + g**2 - 114. Calculate w(s).
-5
Let l(b) = -b**2 - 11*b - 3. Suppose 5*d - 10 = -5*i, -22*i + 53 = -5*d - 18*i. Give l(d).
27
Suppose 0 = -5*n + 56 + 14. Let i(t) be the third derivative of t**6/120 - 7*t**5/30 + t**4/24 - t**3/6 - 62218*t**2 - t. What is i(n)?
13
Let j(b) = -23*b**2 + 6 + 45*b**2 - 7*b**2 - 3*b - 16*b**2. Give j(-11).
-82
Suppose -5*f - 15 = -0*f. Let o(u) = -8 - 3 + 63 - 8 + 3*u - 32 - 13. Determine o(f).
-10
Let u(c) = -c**2 + 6*c - 4. Suppose 8 = 4*k - 0*k. Suppose -5*q + 19 = 20*g - 18*g, 0 = 5*g - 10. Suppose -q*o = -6*o + d + 24, o - 1 = -k*d. Give u(o).
-11
Let d = 2250 - 2252. Let y(t) = -13*t - 2. Let p(f) = f. Let n(q) = 6*p(q) + y(q). What is n(d)?
12
Let n(q) = 2 - 35*q + 87*q - 24*q - 24*q. Let v(l) = l**2 + 15*l + 34. Let j(a) = -a**3 - 5*a**2 - 3*a - 3. Let d be j(-3). Let g be v(d). Calculate n(g).
-6
Let m(a) = 4 - 112*a**2 - 4*a + 33*a**2 + 40*a**2 + 38*a**2. Let o(k) = -2*k**2 + 4 - 3 + 3 + 3*k + k**2. Let d be o(-2). Determine m(d).
-8
Let f(i) = 34*i - 33*i - 13 + 23. What is f(-14)?
-4
Let j(x) = 4*x**3 - 4*x**2 - x + 1. Let h(w) = -19*w**3 - 7*w**2 + w - 1. Let i(o) = h(o) - 2*j(o). Calculate i(1).
-26
Let f(b) be the second derivative of 0 + 84*b + 2*b**2 - 1/6*b**3. What is f(0)?
4
Let b(z) = z**2. Suppose -18*x + 8 = -64. Let k be (x + (-13)/4)/3*-12. Determine b(k).
9
Let o be ((-4)/5)/((-3)/(-15)). Let g(p) = -p**2 - 4*p - 4. Let h be g(o). Let s(t) = -8*t - 72. Let j(l) = 5*l + 46. Let b(w) = -3*j(w) - 2*s(w). Give b(h).
2
Let q(t) = -16*t - 9. Suppose -4*k - 162 = -158. Let a be q(k). Let y(l) = l - 10. Calculate y(a).
-3
Let l(v) = 209*v + 5. Let g(c) = -155*c - 4. Let k(h) = -4*g(h) - 3*l(h). Determine k(1).
-6
Let z(g) = 4*g**2 + 464 + 453 + 461 - 1378. Let m = -2 - -4. Suppose 1 + 1 = -m*i. What is z(i)?
4
Let p(x) = -x**2 + 50*x + 1. Let d(k) = -4*k**2 + 167*k - 48. Let w(a) = d(a) - 3*p(a). Determine w(12).
9
Suppose 21*l = 54*l + 1716. Let a be 2 + (-78)/36 - l/24. Let i(j) = -j**3 + 3*j**2 - 2*j - 1. Calculate i(a).
-1
Let b = -873 + 2666. Let u(l) = b - 910 - 906 + l. What is u(10)?
-13
Let m(v) = -2*v**2 - 2*v + 2. Suppose 8 = -3*k + 8. Suppose -r + 5*f - 14 = k, -f = 2*r + 2*f + 2. Calculate m(r).
-22
Suppose -5*u + r = -26, 8*u = 3*u - 2*r + 38. Let n be ((-5)/((-20)/u))/(9/12). Let k(m) = -4*m**3 + 2*m. Give k(n).
-28
Let l(w) be the third derivative of -w**5/30 + 5*w**4/12 - 2*w**3/3 + 138*w**2. Let b(g) = -6*g**2 + 32*g - 14. Let x(n) = -3*b(n) + 10*l(n). Determine x(-3).
-28
Let b(f) be the third derivative of f**4/12 - 5*f**3/6 - 2*f**2. Let m = -19 - -13. Calculate b(m).
-17
Let w(o) = -o - 3. Let a(l) be the third derivative of l**5/30 - 3*l**4/4 + 5*l**3/3 + 2*l**2. Suppose 7*c = 15*c - 64. Let n be a(c). Calculate w(n).
3
Let j(n) be the first derivative of n**3/3 + 7*n**2 - 9*n - 883. What is j(-14)?
-9
Suppose -5*p + 249 - 39 = 0. Suppose 0 = 7*x + p - 0. Let n(l) be the third derivative of -l**5/60 - l**4/12 + l**3 + 15*l**2. Determine n(x).
-18
Let b(x) = x**3 - 7*x**2 + 10*x - 3. Let o(d) = -d**2 - 38*d + 269. Let s be o(-44). Let n be b(s). Let p(c) = -c**3 - 3*c**2 - 3*c - 3. What is p(n)?
6
Let l be 2/(1 - (-6)/(-10)). Let n(q) = 47*q - 23*q + 39*q - 3 - 62*q. What is n(l)?
2
Let m(q) = 68 - 270 + 67 + 76 + 5*q + 71. Calculate m(-3).
-3
Let z(d) = d**3 + 7*d**2 + 4*d - 6. Let j be z(-6). Let k(l) = 3*l**2 + l. Let v(t) = t**3 - 18*t**2 - 7*t + 13. Let b(u) = -4*k(u) - v(u). Give b(j).
5
Let l(y) = y**2 + 4*y - 6. Let h(r) = r**3 + 14*r**2 + 2*r + 22. Suppose -4*a + 3*w = 47, 4*a + 44 = -0*a + 4*w. Let q be h(a). What is l(q)?
6
Suppose 0 = 3*z - g - 189, -2 = z + 4*g - 65. Suppose 0 = a - 5*a + 248. Let i(x) = -1 + 1 + a*x - z*x. Determine i(-6).
6
Let f(a) be the first derivative of 1/4*a**4 - 5*a - 31 - 7/3*a**3 + 0*a**2. Give f(7).
-5
Let u(h) be the second derivative of h**5/60 + 5*h**4/12 - h**3/6 - 51*h**2 + h - 10. Let o(r) be the first derivative of u(r). What is o(-6)?
-25
Suppose 2*y - o - 34 = 7, 3*y - 2*o = 61. Let s = -15 + y. Let k(g) = 5*g**2 + 5*g - 3 + g**3 - 5*g**3 + 3*g**3. Determine k(s).
-9
Let d(t) = 19*t - 1. Suppose -4*p = -41 - 87. Let l = p - 31. Suppose -u + 3*u = -3*v + l, -2*v + 1 = u. What is d(v)?
18
Let r(o) = -2*o**2 + 7*o - 3. Let d(j) = -2*j**2 + 7*j - 3. Let z(n) = 4*d(n) - 3*r(n). Let i be (1 - 6)*13/(182/(-14)) - 0. Give z(i).
-18
Suppose 3*f = -2*c + 52, f = -68*c + 63*c + 39. Let a(r) = -r**3 + 16*r**2 - 25*r - 24. Determine a(f).
18
Suppose -26*v + 87 = 3*v. Let p(l) = v + 5*l + 24*l - 18*l. Give p(-2).
-19
Let o = 62 + -37. Suppose -o = 5*z, 0 = x + z + 10. Let c(p) = -p + 5. What is c(x)?
10
Let s(x) = -16*x**2 - 59*x - 19. Let m be s(-3). Let r(u) = 14*u - 196. Calculate r(m).
0
Suppose -155 = -5*a + 4*x, 2*x - 185 = -4*a - a. Let w(q) = -69*q + 35*q + 11 + a*q. Determine w(-10).
1
Let r be -3 + (-204)/(-21) + (-20)/(-70). Let v(o) = o**2 + 2*o + 0*o**2 + r + 2*o - 4 - o**3. Determine v(-2).
7
Suppose 6*z + 7*z - 667 = -16*z. Let i(o) = -o**3 + 21*o**2 + 48*o + 21. Calculate i(z).
67
Let d(p) = -2*p**3 - 4*p**2 - 5*p - 6. Suppose -16*z = -12*z + 3*g + 15, 4*z + 8 = 4*g. Calculate d(z).
27
Let g be (24/(-32))/((-2)/(-8)*-1). Let n(d) = 10*d + 48 + 38 - 87. Give n(g).
29
Let a be (-9)/(-8 + 8 + -1). Let b(i) = -i**2 + 4*i + 18. What is b(a)?
-27
Let g(i) be the second derivative of -i**5/20 + 35*i**4/12 - 101*i**3/6 + 77*i**2 + 1526*i. Determine g(32).
-6
Let y(j) = -13*j - 15. Suppose 2*q = 2*r - 4, -3*q - 8 = 3*r + 10. Give y(q).
37
Let o(b) = -b**2 + 1. Suppose 13 + 20 = -20*v + 13. What is o(v)?
0
Let h(w) = 71*w**2 - 6*w - 7. Let k be h(-1). Let j(g) = 3*g - 139 + k + 77. Calculate j(-7).
-13
Let f = -34499 + 34493. Let t(l) = -l**2 + 1. Let y(n) = 6*n**2 + 6*n + 4. Let c(x) = 5*t(x) + y(x). What is c(f)?
9
Suppose 3*q + 3*v + 6 = 36, -q + 14 = 3*v. Let o(m) be the third derivative of -3/8*m**4 + 5/6*m**3 + 0 - 7/60*m**5 + 0*m - 3*m**2 + 1/120*m**6. Determine o(q).
-3
Let j(s) be the third derivative of s**6/120 - s**5/30 - s**4/12 + s**3/3 - s**2. Let c(i) = -325*i + 27623. Let m be c(85). Determine j(m).
-10
Let h(q) = -10 - 27 + 44 + 5*q + 16. Give h(-6).
-7
Let i(p) = 8*p**2 + p + 1. Let b(m) = 5*m**2 + 11*m. Let v be b(-4). Let x be (v/8 + -5)*254. Let g = x - -126. Give i(g).
8
Suppose 0 = 2*v - 3 - 5. Let p(w) = w**3 + 21*w**2 + 2*w + 7. Let f(d) = -4*d**3 - 72*d**2 - 5*d - 22. Let h(k) = -2*f(k) - 7*p(k). Determine h(v).
-5
Let o(b) = -2*b + 2. Let n(r) = 13*r - 15. Let f(h) = n(h) + 6*o(h). Let q be -16 - -2 - (6 + -4). Let m = -16 - q. Determine f(m).
-3
Let r be -7 - -1*15*80/48. Let z be 8/9*7 + (-4)/r. Let d(p) = -3*p**2 - 3*p - 10. Let f(k) = -4*k**2 - 5*k - 15. Let t(n) = 7*d(n) - 5*f(n). Calculate t(z).
-7
Let d be 4 + 0 - (-243 - -250). Let s(j) = -j**3 - 4*j**2 - 3*j + 3. Calculate s(d).
3
Let g(q) = -8*q - 3. Let c(t) = t + 1. Let b(f) = 5*c(f) + g(f). Suppose 0 = -2*u + 4, -3*h - 5*u + 7 = -9. Let j be b(h). Let n(a) = a. What is n(j)?
-4
Let b be 2/3 + 44/(-3). Let v(t) = -2*t + 0*t + 4*t + 10 - 10 + 34. Let y be v(b). Let c(f) = f**2 - 5*f + 1. What is c(y)?
7
Let c(p) = p**3 + 6*p**2 - 16*p + 6. Let q = -565 - -567. Let n be 3/(6/(-32)*q). Give c(n).
6
Suppose 192 - 240 = 24*i. Let a(g) = -3. Let d(z) = 0*z + 12 - 3 + z. Let n(h) = -11*a(h) - 4*d(h). Give n(i).
5
Let w(v) = -16 + 14 - 3 + 16 - v**2 + 6*v. Calculate w(-5).
-44
Let p(a) = -a**3 + 5*a**2 + 11*a + 10. Let n = -5425 - -5421. Calculate p(n).
110
Let g(f) = -f**
|
{
"pile_set_name": "DM Mathematics"
}
|
((-16)/(-80)).
4
What is (-21)/(-434)*120/(-90)?
-2/31
What is the value of (-245)/14*((-16)/(-10))/(-4)?
7
What is ((-14)/(3640/26))/(-1)*(-4)/3?
-2/15
Evaluate 20*(-7)/112*4.
-5
(-4)/(-160)*(-24)/12
-1/20
(60/42)/((-6)/42)
-10
(-2)/(-3)*(-414)/552
-1/2
What is 0*2/2*(-7)/(-7)?
0
((-52)/(-39)*24/(-16))/30
-1/15
Calculate ((-16)/(-3240)*15)/((-1)/(-6)).
4/9
What is 2/(-56)*4360/545?
-2/7
(78/26)/(((-26)/(-39))/((-8)/(-126)))
2/7
What is the value of (135/(-567)*-7)/((-5)/1)?
-1/3
(-3*17/85)/((-2)/30)
9
(2*(-90)/288)/(1/(-4))
5/2
(-19)/2204*2*-4
2/29
(-6*2/(-18))/((-36)/(-702))
13
Evaluate 13/273*-24*(-35)/10.
4
What is ((-1)/11)/((-10)/(-440)*22)?
-2/11
Calculate ((-94)/752)/((-6)/1392).
29
-1*(4/(-14))/(-3*7/147)
-2
Evaluate 8*7/7*4/((-24)/(-3)).
4
Evaluate ((4/3)/((-12)/(-15)))/((-45)/(-54)).
2
(24/(-816)*-17)/((-6)/16)
-4/3
(-14)/2*-3*(-36)/(-27)
28
((-280)/(-6))/7*(-210)/175
-8
Calculate ((-16)/(-10))/((-138)/1035).
-12
What is ((-39)/(-130))/((-72)/20)?
-1/12
What is the value of (-1)/(-1)*(2/5)/((-38)/(-1235))?
13
Calculate 3/(((-4)/40*4)/((-8)/(-12))).
-5
(-5)/((-15)/9)*12/(72/(-2))
-1
Calculate (-1)/(((-8)/2)/(-80)).
-20
What is (7*(-364)/98)/2?
-13
Calculate ((-3)/(-2))/((-1167)/3112).
-4
(450/(-675))/((-1)/((-3)/4))*6
-3
What is the value of (1480/518)/((-4)/(-14))?
10
What is the value of ((-14)/(-6))/(448/(-384))?
-2
What is the value of (-12)/(-34)*(-2176)/(-96)?
8
What is (-6)/(48/(-20))*(-384)/(-80)?
12
((-3)/((-27)/168))/(((-5056)/96)/79)
-28
What is 117/(-15)*-20*(-14)/840?
-13/5
What is the value of 1*8*(-5)/(-8)*856/3210?
4/3
(-54)/(-6561)*-9*1*6
-4/9
Calculate (3/9)/((170/300)/(-17)).
-10
((8505/(-594))/(-35))/(6*1/8)
6/11
Evaluate -3*6*26/117.
-4
What is (-745)/(-3874)*2/(-5)?
-1/13
What is the value of -1*(-14)/56*(-16)/46?
-2/23
What is the value of ((-246)/(-1476))/((-9)/(-27)*(-3)/10)?
-5/3
What is the value of (-1)/((-645)/172*(-56)/(-6))?
1/35
Calculate ((5/(-10))/(-1))/(3*11/(-594)).
-9
What is the value of 1*((-1)/(-1))/((-3)/(-36)*-2)?
-6
What is the value of -1*14*2/4*(-17296)/(-90804)?
-4/3
What is ((-2175)/2610*232/10)/(6/(-9))?
29
What is ((-18)/18*15)/(84/(-8))?
10/7
What is the value of (8/(-6))/(380/(-570))?
2
What is (-138)/(-23)*(-56)/24?
-14
What is (132/297)/(2/45)?
10
Calculate (-301)/(-172)*(-4)/6.
-7/6
Calculate 23/(575/(-300))*(-1)/(-4).
-3
(10/(-8))/(590/11800)
-25
Evaluate -1*(-1)/(-6)*6615/(-294).
15/4
What is 10/(-18)*2/(-4)*(-32)/(-80)?
1/9
What is (140/60)/(56/264)?
11
What is -8*(-12)/576*((-22320)/(-12))/(-10)?
-31
Calculate (664/(-1660))/((-4)/(-5)).
-1/2
Calculate (-203)/(-87)*((-4)/4)/2*12.
-14
Calculate (-96)/6*3/2*(-72)/108.
16
What is the value of 570/(-684)*(2/20)/(1/(-6))?
1/2
What is ((-41)/((-18450)/(-54)))/(9/(-60))?
4/5
What is the value of ((-9)/(-3)*1/7)/((-15)/20)?
-4/7
(12/(-17))/((1276/(-493))/22)
6
(1/(-36))/(95/285)
-1/12
What is the value of (5/6)/(556/(-417))?
-5/8
Evaluate (8/4)/(34/2584*38).
4
Calculate ((-95)/(-57))/(40/(-192)).
-8
(33/55)/(((-6)/12)/(25/18))
-5/3
Calculate (2/1)/(366/2196).
12
What is (6/(-9))/(((-5824)/39)/(-28))?
-1/8
Evaluate 2*(-22)/8*1650/605.
-15
Evaluate (2/3)/(-6*16/(-144))*-13.
-13
Calculate (-126)/(-4)*840/(-1470).
-18
What is ((-182)/84)/((-33)/(-198))?
-13
What is the value of 6/(25/(-30)*(-36)/20)?
4
Calculate 1680/2835*(-6)/8.
-4/9
Calculate (-6)/3*12/(-432)*4.
2/9
Calculate 6/((-774)/(-344)*2/15).
20
Calculate (12*6/(-12))/((-54)/90).
10
Evaluate (44/(-10))/(((-27)/(-945)*14)/2).
-22
Calculate (-18*(-1)/3)/6.
1
Evaluate (32675/(-5228))/((-10)/(-3)).
-15/8
Evaluate 6*(-210)/(-378)*2/(-4).
-5/3
What is the value of (16/(-80))/((-48)/(-12))?
-1/20
(16/120)/((2/12)/((-2)/16))
-1/10
What is the value of (4/10)/((-552)/(-3680))*(-30)/4?
-20
What is the value of ((-189)/(136080/96))/(((-1)/1)/(-1))?
-2/15
10/2*((-32)/(-120))/(78/9)
2/13
What is the value of 4/35*((-55)/99)/((-4)/(-6))?
-2/21
((-2)/(-1*(-24)/27))/((-8)/32)
9
What is the value of (84/(-3675))/(6/(-84)*4)?
2/25
(-19)/(684/16)*(-30)/(-20)
-2/3
What is ((-186)/(-62))/((-8)/2)?
-3/4
Evaluate 1/11*10406/(-11352).
-1/12
What is the value of (0/(-159))/((-7)/((-7)/(-12)))?
0
What is (-11)/(-11)*(10/7)/(26/91)?
5
What is the value of (7*2/28)/(2/(-52))?
-13
Calculate 1850/370*1/((-1)/(-6)).
30
What is (48*30/480)/(-1)?
-3
Evaluate (18/(-54))/((-6)/162).
9
What is the value of (-20*5/875)/((-6)/120)?
16/7
Evaluate -1*((-26)/(-78))/(2/14).
-7/3
What is ((-2)/(-14))/(216/(-2016))?
-4/3
Evaluate (-3)/(42/(-392)*1).
28
What is the value of (-18)/(10/(-5))*16*6/2160?
2/5
Calculate ((-546)/56)/13*6/(-27).
1/6
What is the value of ((-6)/4*(-390)/975)/((-3)/90)?
-18
-1*(-21)/(441/140)*(-3)/(-2)
10
What is the value of ((-72)/15)/((-567)/(-270))?
-16/7
Evaluate 12/22*682/(-1054)*17/(-2).
3
((-10)/(-25))/((-21)/(-5))
2/21
Evaluate (11564/531)/(-7)*-3*3.
28
Evaluate (-267)/(-3026)*(-17)/9.
-1/6
((-3)/((-1320)/(-16)))/(4/20)
-2/11
Evaluate (5/((-125)/(-2)))/(213/355).
2/15
What is the value of ((-4)/(-21))/((-163)/((-76447)/(-402)))?
-2/9
What is (1*2/(-5))/((-23)/((-4600)/20))?
-4
What is ((-345)/46)/(3/1*2)?
-5/4
Evaluate (40095/(-10395))/(3*1/(-14)).
18
Calculate 462/88*40/(-15).
-14
What is the value of 8/40*-1*31/(930/40)?
-4/15
What is (29/((-1624)/588))/((-3)/4)?
14
Calculate ((-2)/(-10))/(22221/(-86415)).
-7/9
What is the value of 83/((-9960)/800)*(-2)/(-10)?
-4/3
What is the value of (1/9)/(-11*7/77)?
-1/9
What is 37587/1474*(-16)/(-17)?
24
What is the value of ((-24)/(-3))/((99/(-18))/1*-4)?
4/11
Calculate -35*-24*16/(-960).
-14
What is the value of (-1)/(13*(-7)/910*85/(-2))?
-4/17
What is ((-9)/13)/((-36)/468)?
9
What is the value of -27*((-16)/(-4))/12?
-9
Calculate 29/((-87)/(-14))*(-24)/28.
-4
Evaluate (-9)/((-36)/(-14))*(-2144)/(-2345).
-16/5
Calculate ((-792)/1188)/((-4)/(-66)).
-11
What is the value of (((-2)/6)/((-32)/384))/((-2)/(-4))?
8
What is the value of ((-2)/(48/(-20)))/((-50)/(-30))*-2?
-1
What is 6*((-108)/(-567))/((-8)/(-84))?
12
Evaluate 4*(-50)/(-280)*9/(-9).
-5/7
Calculate 6/(-4)*-28*(-17)/4284.
-1/6
What is the value of (-123)/287*(-175)/15?
5
What is 9/5*(-9)/12*(-670)/(-201)?
-9/2
Evaluate (-2)/4*(-3252)/(-1355).
-6/5
What is the value of (1*-2)/(212/(-742))?
7
What is ((-1)/1*-1)/((-178)/(-534))?
3
780/91*((-637)/14)/13
-30
((-22)/154)/(2/(-98))
7
(25*(-18)/(-45))/1
10
Calculate ((-16)/196)/(26/(-273)).
6/7
Evaluate (945/(-6))/(-21)*-2*16/(-20).
12
What is the value of ((-54)/63)/(63/(-1470))?
20
What is the value of ((-23)/345*-15)/(-11)?
-1/11
((248/(-16))/31)/(1/(32/(-26)))
8/13
Calculate 2*21/(-30)*4*(-18)/252.
2/5
Evaluate ((2/(-2))/(-4))/((-2261)/(-1292)).
1/7
Calculate (((-378)/49)/18)/(18/(-24)).
4/7
What is ((-22605)/(-60))/137*6/(-22)?
-3/4
What is (145/(-116)*(-2)/(-10))/((-2)/(-24))?
-3
Calculate ((-18)/(-135))/(-2)*-3*5/(-15).
-1/15
Evaluate 9*15/15*6/(-117).
-6/13
What is -15*10/250*15?
-9
Calculate (-31)/((-2976)/(-72))*(-3)/(27/6).
1/2
Calculate ((-5)/(75/3))/(84/(-60)).
1/7
Evaluate ((-2)/(-9))/((-4)/(-6))*30/(-1).
-10
(1512/6)/(-12)*1
-21
Calculate (279/31)/((-3)/(-3)).
9
Evaluate (1/14)/((-2)/(-6)*3*-4).
-1/56
Evaluate (2674/(-1146))/((-8)/3).
7/8
Evaluate ((-21)/(1848/(-16)))/(1/2).
4/11
2*663/(-204)*(-36)/26
9
What is (312/(-24))/(26/(-14))?
7
What is the value of -15*(-36)/(-2700)*(-5)/(-21)?
-1/21
What is (-5*11/55)/((-77)/(-7))?
-1/11
What is the value of 18/(-1995)*(-560)/32?
3/19
What is the value of ((-19)/(-4))/(((-1)/2)/((-366)/(-183)))?
-19
18/((-6)/(-3))*(-168)/378
-4
What is (-274)/(-411)*1/((-7)/(-6))?
4/7
What is (5/(-5))/((-70)/(-350))?
-5
Evaluate (592/32)/(-37)*34.
-17
Evaluate ((-20)/(-8))/((-30)/8).
-2/3
What is (((-54)/(-12))/3)/(1/((-64)/(-12)))?
8
What is the value of ((-676)/1014)/(1/6)?
-4
What is (4/65*10/(-20))/(6/30)?
-2/13
What is (-90*49/(-2450))/(1*(-1)/5)?
-9
Calculate (-3)/(-18)*-6*1/1.
-1
(-9)/3*(-42)/(-7)
-18
(1596/(-154))/(-19)*22
12
Calculate 3/(-1)*(1560/144)/(-13).
5/2
What is the value of (-2)/(-7*(-12)/(-546))?
13
(1/(-8))/((-383)/(-10724))
-7/2
Calculate (-3)/(-13)*((-496)/24)/31.
-2/13
Calculate ((-1)/216)/(-10*13/(-260))*4.
-1/27
What is the value of (-5)/(((-15)/108*6)/(20/(-8)))?
-15
What is 4/(-19)*((-15)/35)/((-192)/(-224))?
2/19
What is (-616)/(728/26)*2/(-20)?
11/5
((-210)/28)/(115/138)
-9
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when n is divided by 30.
28
Suppose -2*c + 0*c + 4 = -4*y, -4*y = 3*c - 6. What is the remainder when 29 is divided by c + 1 + 3/1?
5
Let p = -414 - -445. What is the remainder when 1455 is divided by p?
29
Let g be 6/(-8) + 3/(-12). Suppose -2*w + 116 = 2*w. Calculate the remainder when w is divided by (1 - 2)/(g/15).
14
Let p = 267 + -70. Suppose -3*h + p = -0*h + r, -262 = -4*h - 2*r. Calculate the remainder when h is divided by 34.
32
Suppose -18 = -3*a + 15. What is the remainder when (-4)/(-2) + 33 + 6 is divided by a?
8
Let y(r) = -412*r + 44. Calculate the remainder when y(-2) is divided by 67.
64
Let b = -55 + 74. Let k(s) = 23*s**3 - 2*s**2 + 2*s. Let l be k(2). Suppose o = -4*o + l. What is the remainder when o is divided by b?
17
Let w be 224/2 + -4 + 1. Let p = w - 76. Suppose 2*b = -0*b + g + 196, 0 = 3*b + 2*g - 294. Calculate the remainder when b is divided by p.
32
Let c(v) = v**3 - 6*v**2 - 4*v + 4. Let m be c(6). Let l = m - -62. What is the remainder when l is divided by 9?
6
Suppose -2*p - 36 = -3*p. Calculate the remainder when p is divided by 45/(8 - -1) + 26 - (-12)/(-4).
8
What is the remainder when 353 is divided by 5/(-10) + (-525)/(-10) + -1?
47
Let m be (10/20)/(1/(-48)). Let g = m - -55. Let i = -7 + 15. What is the remainder when g is divided by i?
7
Suppose 0 = -192*x + 9038 + 4580 - 3634. Let j = 40 + -25. Let q = 33 - j. Calculate the remainder when x is divided by q.
16
Suppose 4*l = -0*y - 5*y + 56, -3*l - 39 = -3*y. Let i = y - 12. Suppose 33 = -i*s + s. What is the remainder when 131 is divided by s?
32
Let n(r) = -r**3 - 23*r**2 - 5*r - 57. Calculate the remainder when n(-23) is divided by 10.
8
Let x = 100 - 26. Let q = x + -33. Calculate the remainder when q is divided by 12 - (0 + -1)/(-1).
8
Let i(d) = -13*d**3 + d - 3. Let m be i(-2). Suppose -21 + m = 2*g. What is the remainder when g is divided by 21?
18
Let q = -14078 - -14177. Let z = -6 - -23. What is the remainder when q is divided by z?
14
Let v(w) = -w**3 - 2*w**2 - 6*w - 1. Let o = -2878 + 2897. What is the remainder when v(-4) is divided by o?
17
Suppose 1045 = 14*n - 103. Calculate the remainder when n is divided by 69.
13
Suppose -57 - 99 = 4*h. Let v = h + 140. What is the remainder when v is divided by 26?
23
Let h(w) = -2*w**3 + 91*w**2 - 45*w + 27. Calculate the remainder when 65 is divided by h(45).
11
Let t(i) = -64*i - 10. Let a be t(-3). Suppose -3*g = -a - 124. Calculate the remainder when g is divided by 21.
18
Suppose -5*p + 92 = 17. Calculate the remainder when 194 is divided by p.
14
Calculate the remainder when 1057/245*7 - (-2)/(-10) is divided by 8.
6
Let j(y) = 32*y - 16. Calculate the remainder when j(2) is divided by 43.
5
Let x = 32 - -15. Let v = x + -13. What is the remainder when v is divided by 12?
10
Let n be -1*(-2 - 40/(-1)). Let m = -23 - n. What is the remainder when m is divided by -1 - -2*(-5)/(-2)?
3
Let n = 11 + -9. Suppose l + 49 + 35 = 4*d, -4*d + 84 = -n*l. What is the remainder when d is divided by 8?
5
Let q = 503 - 462. Let x be 6/(3/1) + 2. Suppose 3*u = v - 6*v + 23, x*v = -8. What is the remainder when q is divided by u?
8
Suppose -14*l + 3948 = 7*l. Calculate the remainder when l is divided by 10.
8
Let g(m) = 6*m**2 + 2. Let v be g(2). Suppose v = u + u. Calculate the remainder when -3*1/(-9)*75 is divided by u.
12
Suppose 4*j - 48 = -52. Calculate the remainder when (303*2/(-6))/(1/j) is divided by 15.
11
Suppose -1714 - 334 = 8*v. What is the remainder when (30/(-8))/(12/v*4) is divided by 13?
7
Let q = -6 - -8. Suppose -q*a - 6 = -2. What is the remainder when -4*(-6)/(-16)*a is divided by 3?
0
Let g(t) = -3*t**2 + 69*t - 45. What is the remainder when 116 is divided by g(22)?
11
Let n = 1048 + -1020. Calculate the remainder when 119 is divided by n.
7
Let v(b) = b**2 + 32. What is the remainder when v(0) is divided by -1 - (9 + 66/(-3))?
8
Suppose 5*u - u + n = -269, 202 = -3*u - n. Let d = 129 + u. Calculate the remainder when d is divided by 32.
30
Suppose -10*g + 5*g + 15 = 0. What is the remainder when 83 is divided by (-58)/(-2*g/(12/4))?
25
Let g = -294 - -471. Suppose -88 = -5*y + g. Calculate the remainder when 264 is divided by y.
52
Let m(q) = q**2 - 4*q - 22. What is the remainder when 604 is divided by m(-6)?
34
Let c = 126 + -77. Let g = c + -40. What is the remainder when g is divided by 4?
1
Let s(d) = 3*d + 3. Let c(k) = k + 1. Let b(m) = 4*c(m) - s(m). Let v be b(1). Suppose -5*g = -v - 83. What is the remainder when 66 is divided by g?
15
Let u = -35 + 57. Suppose 17*n - 129 = 14*n. What is the remainder when n is divided by u?
21
Let i = -13 + 13. Let l = i - 6. Calculate the remainder when 44 is divided by l/(-3) + (-10)/(-1).
8
Let x = 65 + -35. Suppose 4*p - 16 = -3*y, -5*p = 2*y - 5*y + 34. Calculate the remainder when x is divided by y.
6
Suppose 38*l = 32*l + 210. Calculate the remainder when 135 is divided by l.
30
Calculate the remainder when (-16)/56 + 8246/49 is divided by 9.
6
Let m = 20 - 58. Let n = m - -46. Calculate the remainder when 31 is divided by n.
7
Suppose 10*l = 6*l + 48. What is the remainder when l is divided by 3?
0
Let g = -491 - -739. What is the remainder when g is divided by 86?
76
Let v = 16 - 12. Suppose v = 3*z - 23. Calculate the remainder when 13 is divided by z.
4
Suppose 0 = -4*t - d - 15, 0*t = 5*t - d + 30. Calculate the remainder when 249/9 + (-4)/6 is divided by (-9 - t - 3)/(-1).
6
Suppose 0 = -4*j + 4*t + 132, -2*j - 43 = -3*j + 3*t. Suppose 4*q + 12 = 2*g - 154, 3*q = g - 83. What is the remainder when g is divided by j?
27
Let l = 128 + -68. What is the remainder when l - (-2)/5*(10 - 5) is divided by 7?
6
Let r = -38 + 44. Suppose 8*v - r = 6*v. What is the remainder when 4 is divided by v?
1
Suppose 4*w + 4 + 15 = 3*h, -h = -4*w - 1. Calculate the remainder when 24 is divided by h.
6
Let z(s) be the third derivative of -s**6/120 + s**5/15 + s**4/8 - 2*s**3/3 - s**2. Suppose 5*x - 179 = -69. What is the remainder when x is divided by z(4)?
6
Suppose 48 = 4*u + 4*p, -3*p + 55 = 4*u + 11. Suppose u*x - 180 = 2*x. What is the remainder when x is divided by 17?
13
Let i(f) = -24*f - 127. Let g = -19 - -27. What is the remainder when i(-6) is divided by g?
1
Suppose 0 = -3*q + 2*q. Suppose q*u - 24 = -2*u. Let s = u + 18. What is the remainder when s is divided by 8?
6
Let m be (10 + -22)*(-1 - 1)/6. Suppose m*s - 60 = -0*l - 2*l, 5*l - 75 = -5*s. Calculate the remainder when 119 is divided by s.
14
Let u = -151 + 87. Let r = u - -108. What is the remainder when r is divided by 8?
4
Let p be ((-2)/(-4) - 1)*-230. Suppose 0 = -4*b + 3*a + 21, 0*b + 41 = 4*b + a. Suppose b*x = 4*x + p. What is the remainder when 44 is divided by x?
21
Let v = 882 - 827. What is the remainder when 1209 is divided by v?
54
Suppose -231 = -z - 59. Calculate the remainder when z is divided by 47.
31
Let a be (-57)/(-38)*(-4)/(-6). Calculate the remainder when 4/4*-2 - -63 - a is divided by 17.
9
Let m(a) = a**3 - 22*a**2 + a - 47. Let d be m(22). Calculate the remainder when 44 is divided by d/(-2)*(-26 + 28).
19
Suppose -2*v + 35 + 35 = 0. Suppose -3*n - 7*y = -9*y - 96, 99 = 3*n - y. What is the remainder when (3 + (-4)/8*2)*n is divided by v?
33
Calculate the remainder when 33 is divided by (-616)/(-42) - 10/15.
5
Suppose 744 + 153 = 13*b. Let l = 61 + -37. Calculate the remainder when b is divided by l.
21
Calculate the remainder when 1/12 - (-2130)/360 - -21 is divided by 16.
11
Let o be (-4)/(-8)*(1 + -3). What is the remainder when ((-210)/56)/(0 - o/(-4)) is divided by 6?
3
Let h = 499 + -308. Suppose 8*q - 145 = h. What is the remainder when 123 is divided by q?
39
Suppose -4*u - 9 = -117. Let m(t) = 6*t**2 + t - 2. Let g be m(-2). Suppose h - g = -h. What is the remainder when u is divided by h?
7
Suppose 9 = 3*p - 3. Calculate the remainder when ((-39)/9*-3)/(p - 3) is divided by 3.
1
Let c(f) = -f**2 - 12*f - 16. Suppose 3*u - 7 = 4*u. What is the remainder when 37 is divided by c(u)?
18
Calculate the remainder when -7 - (-143 + -3) - (4 - 2) is divided by 14.
11
Let v(g) = g**2 - 5*g + 4. Let k = -4 + 9. Let j be v(k). Suppose -34 = -j*r + 10. Calculate the remainder when 32 is divided by r.
10
Let b = 890 - 842. Calculate the re
|
{
"pile_set_name": "DM Mathematics"
}
|
12 - 7*h**3/6 + h**2/2 - 3*h. Let s be g(7). Which is greater: 0 or s?
s
Let q = 0.35 - 0.15. Let a = q + 0.8. Is a greater than -1?
True
Let t = 1137 + -1039. Which is greater: t or 100?
100
Let p be (76/(-8) - 8)*2. Which is smaller: p or -246/7?
-246/7
Let y = -1/218 - -1101/2398. Suppose 0 = -9*c + 13*c + 4. Let g be 2 + 2 + -2 + c. Is g at least y?
True
Let g = 766/7 - 4033/35. Suppose -2*i + j = 2*i - 46, 3*j = 2*i - 28. Suppose -4*y - i - 9 = 0, -2*h + 2*y = 0. Do g and h have the same value?
False
Let j be (-623)/(-49) - 14/(-49). Is 7 at most j?
True
Let f be (0 + 1972/(-652) - -3)/(-2). Is f greater than 0?
True
Suppose 3*d + 308 = -4*d. Let o be -4 - 21*8/d. Let k(a) = -a**2 - 3*a + 1. Let c be k(-3). Does o = c?
False
Let r be (-2 + (-34)/(-18))/(28/56). Suppose 0 = p + 3*c - 4, -5*p - c = -3*c - 3. Which is greater: r or p?
p
Let p(a) = 4*a - 24. Let m be p(7). Suppose -3*b = 4*c + 15, 5*c - m*b = -5 + 25. Which is greater: c or -1/107?
c
Let j = 250/351 - 19/26. Suppose 0 = -5*b + g + 5, -2*b - 4*g = 29 - 31. Which is bigger: j or b?
b
Let z = 380 - 370. Which is bigger: z or 8?
z
Let x be (-7)/(42/6)*2. Suppose 5*f = 3*y - 34, -5*y = -f + 3*f - 36. Is x > y?
False
Let o = -0.6 + -2. Let h = 2.6 + o. Let i = 0 + 4. Do i and h have different values?
True
Let f = -2 + 3. Suppose -6*l = -l + 105. Let c be l/(-35) + (-16)/30. Which is smaller: c or f?
c
Let v = -234.8 + 168. Is v greater than 1?
False
Let i be 2 - (16/40 + 83/30). Let o = -9 + 13. Suppose o*b = 1 - 5. Which is smaller: i or b?
i
Suppose 0 = 3*t + 9, 2*m = t + 4 + 5. Suppose 5*u - 8 = -m*z + 24, -4*z + 4*u = 0. Which is smaller: -0.06 or z?
-0.06
Suppose -4*b + 0*y - 3*y = 0, 2*y = 5*b - 23. Is b at most as big as -12?
False
Let k = 1314 - 1314. Which is greater: k or -2.66?
k
Let a(z) = -5*z + 30. Let o be a(9). Let x be (-6)/o + (-29)/110. Is x > 1?
False
Let z = 327 - 345. Which is bigger: z or -16?
-16
Let b = 16 + -22. Let x = -118 + 338/3. Which is greater: x or b?
x
Let d(p) = -32*p + 46 + 79*p - 37*p. Let c be d(-6). Let a = 11 - 31/3. Is c >= a?
False
Let u(l) = l**3 + 10*l**2 + 15*l - 3. Let s be u(-8). Suppose 75 = -s*i + 30. Is -10 smaller than i?
True
Let f = -38955691990/4209 + 9255332. Let x = f + -2/69. Is x bigger than 0?
True
Let k be (-1)/4 + ((-29)/(-4) - -2). Let z = 29 + -19. Is k greater than or equal to z?
False
Let d be (-238)/(-4) + (15/6)/5. Let s be d/(-455) - (-8)/(-52). Let i(f) = -f**3 + 4*f**2 + f - 5. Let w be i(4). Which is smaller: w or s?
w
Let t(i) = i**3 + 13*i**2 - 32*i - 30. Let j be t(-15). Which is bigger: 4/375 or j?
4/375
Let a be (-128)/(-13) - 5/(455/(-14)). Is 14 bigger than a?
True
Suppose 1083 = 6*q + 45. Which is smaller: 174 or q?
q
Let f be -1*(1 - 2)*0. Suppose 0 = -2*o + 5*i, -5*o + 2 - 64 = 3*i. Let n(m) = m**2 + 10*m - 1. Let a be n(o). Are a and f equal?
False
Suppose 3*l + 131 + 6 = 4*a, 5*a - l - 185 = 0. Let y = a + -39. Are y and -14/13 non-equal?
True
Let l = -52 + 50. Suppose -2*k + 22 = -4*k. Let a = k + 10. Which is greater: l or a?
a
Let b be (6/(-4) - 0)*(-1180)/24. Let l = b + -74. Let i(k) = k**3 + 5*k**2 + 3*k - 4. Let s be i(-4). Which is greater: l or s?
s
Let g = -365 + 406. Which is bigger: g or 12?
g
Suppose 0*b - 2*h - 1 = b, 2*b + 11 = 5*h. Let a = -47 + 91. Let j be a/(-8) + (-2)/(-1). Are j and b non-equal?
True
Let h = -4 + 58. Suppose -h = 3*k + 21. Which is smaller: k or -22?
k
Let r be (-6)/(-9) + (-32)/30. Which is greater: r or 0.31?
0.31
Let c(t) = -12*t - 12. Let f be c(0). Let k(a) = -a**2 + 6*a + 5. Let r be k(5). Let s = r + f. Which is smaller: -1 or s?
s
Let y be -8*12/(-160) + 132/(-170). Are y and -0.1 unequal?
True
Let c = -557 - -1541/3. Let w = c + 43. Are w and -1 equal?
False
Let h(o) = -2*o - 35. Let c be h(-20). Let j = 7 - 6.96. Let p = 0.06 + j. Is p less than c?
True
Let j be 3*(-5)/6*-2. Suppose 5*s + 0*s = j. Is 5 at most as big as s?
False
Suppose 0 = u - 2*u + 3. Suppose 0 = 4*n + 5*z + 8, u*n = -2*n - 4*z - 19. Let c be (-9 - n)*(-2)/(-4). Is -1/4 at least c?
True
Let h be (-56)/(-13) - (37 - 33). Let w be (2/1 - 2)/(-1). Which is greater: h or w?
h
Let y = 22/13 + -2. Suppose 3*g = -2*z + 5, z - 2*z = -4*g + 14. Suppose 4*v - g = v. Is y > v?
False
Let i = -7/12 + 3/4. Let v = -467 - -465. Which is smaller: i or v?
v
Let g = 8900/3 + -2967. Let h = -0.29 - -0.2. Which is smaller: g or h?
g
Let l be 66/18 + 4/(-6). Let d(j) = 2*j - 3. Let a be d(l). Suppose -7*y + f - 11 = -2*y, -y + f - a = 0. Is y at most -1?
True
Let f(m) = m**2 + 2*m. Suppose -3*i = -0*o - o - 11, -3*o - 2*i = 0. Let y be f(o). Is y at most as big as 1/7?
True
Let o = -202 + 100. Which is greater: -104 or o?
o
Let v(p) = -p**2 - 6*p + 14. Let s(r) = 4*r - 31. Let w be s(6). Let y be v(w). Which is bigger: y or 8?
8
Let c be (-5)/((-70)/(-483))*-2. Do 1 and c have the same value?
False
Let f(i) = -5*i**3 - 15*i**2 + 6. Let c be f(-5). Is 255 greater than c?
False
Let p = -14.63 + 14.73. Which is smaller: p or 20/11?
p
Let t = -27 + 25. Suppose f - 4*l + 4 = 0, -5*f - 3*l = -4*f + 4. Is t greater than or equal to f?
True
Let f = -1258/3 + 412. Let a = -2357/321 - f. Are -1 and a non-equal?
True
Let x = -1028.8 + 1029. Are 0.338 and x non-equal?
True
Let n = -8 - -22. Let f = -0.282 + 15.182. Let a = f - n. Is a > -2/3?
True
Let g = -406 + 396.9. Is g <= 0.1?
True
Let h be -800*5/(-65)*-7. Let q = 431 + h. Which is smaller: q or -6?
-6
Let r = -2356 + 1629. Which is smaller: r or -726?
r
Let m be 1/(5 + 3/33*-56). Which is bigger: m or -16?
m
Let c be ((-1)/(-3))/((-11)/(-12)). Suppose i - 3 = 2*f, 3*f = 2*i + 1 - 5. Is c greater than i?
True
Suppose 4*h + 40 - 18 = -2*g, 5*h = -4*g - 29. Let m be 5 + -1 + g + 3. Which is smaller: 7 or m?
m
Let k be 6/(-4)*(-24)/(-18). Suppose 0 = 3*g - 8*g - 50. Let t be (0 - 1)/(g/(-6)). Which is greater: t or k?
t
Let u = -0.4 - -0.6. Let y be -5 - ((-3 - -3) + -1). Let t be 39/13*y/114. Is t != u?
True
Let l = 20 + 369. Is l at most 388?
False
Let l be (-4)/6 - ((-1536)/(-342) - 7). Which is smaller: 1 or l?
1
Let l = -1/24 - -67/72. Suppose 8*c = 3*c + 5. Which is smaller: c or l?
l
Let g = 3/76751 - 37754821/76751. Suppose 4*l = 2*l - p - 989, -3*l - 1491 = 3*p. Let s = l - g. Which is greater: s or 1?
1
Let p = 4694/18283 - -16/389. Are p and 1 nonequal?
True
Let j = 699 - 698. Is -2/989 < j?
True
Suppose 5*g = 9*g - 4*v + 116, -3*g - v = 79. Which is smaller: g or -29?
-29
Let q = 52078/51448649 - 4/21181. Which is bigger: 1 or q?
1
Suppose 0 = 3*d + 67 + 17. Let l = -28 - d. Is l bigger than -1?
True
Let h be (34/(-3))/((-8)/18). Let i = h + -25. Let k be 2*4/(-24)*10. Is k smaller than i?
True
Let q be 16*(-8299)/(-4250) - 3. Let g = -480/17 + q. Let n = g - 132/875. Is 1 > n?
True
Suppose -3*b - 76 = -5*z, -4*b + 6*z - z = 103. Which is smaller: 11 or b?
b
Let h(x) = -x**2 - 37*x + 131. Let i be h(-46). Which is bigger: i or -281?
-281
Let v(l) = l**3 - 5*l**2 - 3*l + 13. Let c be v(5). Are -31/19 and c equal?
False
Let q = 101.831 - -0.169. Let h = -103 + q. Which is smaller: 0.108 or h?
h
Let s(o) = -o**2 - 7*o - 25. Let j be s(-4). Is -8 equal to j?
False
Let q(c) = -4*c**3 + 13*c**2 + 12*c - 2. Let s be q(4). Which is smaller: -4/7 or s?
s
Let g = -28.3 + 28. Let p = 17.7 - g. Let z = p - 24. Is 1/3 greater than z?
True
Suppose 19 = l - 2*z, -2*z - 14 - 28 = -2*l. Let a(s) = s**2 + s + 1. Let o be a(-5). Is o < l?
True
Let j be ((-24)/(-5))/6 + (-15)/((-55350)/(-2892)). Suppose 5*a - 1 + 4 = 2*d, a + 5*d - 21 = 0. Which is smaller: j or a?
j
Let b(d) = -d**2 + 30*d + 57. Let h be b(11). Is 266 at most as big as h?
True
Let i be (-3514)/(-616) + ((-18)/8 - -2). Is i != -1?
True
Let f(v) = v**3 - 4*v**2 - v + 5. Let u = 7 + -3. Let n be f(u). Let y = n + -3. Is y greater than -3?
True
Suppose 4 = -4*j - 12. Let t be -1*1/2*j. Is 1/2 less than t?
True
Let g = 159 - 8. Let j = g + -105. Is 47 at most j?
False
Let k(q) = q**2 - 5*q - 5. Let a be k(-5). Let c = -44 + a. Which is smaller: c or 2/23?
2/23
Let z(p) = p**2 - 6*p + 6. Let c be z(4). Let b be 2*(-18)/(-1 + -2). Let i be 0*((-15)/b)/5. Which is greater: i or c?
i
Let x be (30/25)/(51/935). Is 26 at least x?
True
Suppose 9*r - 8*r + 4*o = -74, -296 = 4*r + 4*o. Is r <= -12?
True
Let r =
|
{
"pile_set_name": "DM Mathematics"
}
|
earrange -5*a - 3*a + 16*a + (7 - 3 + 1)*(-14*a + 29*a - 18 - 12*a) to x*a + p and give p.
-90
Rearrange -264*o + 402*o - 2 + 1160*o to the form a + x*o and give a.
-2
Express 208*x + 170 + 244 - 210*x + x**2 - 110 - x**4 in the form c*x + r*x**3 + h + v*x**4 + q*x**2 and give c.
-2
Rearrange (-2 + 4*f**2 + 2)*(-3016 + 1589 + 3650 + 4127 + 2080 + 2417) to u + c*f + h*f**2 and give u.
0
Rearrange -172*i + 172*i - 19*i**2 - 45*i**2 - 90*i**2 - 111*i**2 + (2*i + 0 + 0)*(i - 3*i + 3*i) to the form g*i + z*i**2 + b and give z.
-263
Rearrange -22661 + 22661 - 1682*p**2 - 1999*p**2 to q*p + s + r*p**2 and give q.
0
Rearrange (m**2 - m**2 + m**2)*(6 - 8*m - 6 + (3*m - 4*m - m)*(7 + 5 + 63) - 6*m - 3*m - 3*m) to the form t*m**2 + w*m**3 + y + d*m and give t.
0
Express (-4*l + 4 - 4)*(30 - 30 - 14*l)*(0 + 4 - 2)*(11 - 85 + 41) in the form p*l**2 + x*l + j and give x.
0
Express (-11505 + 53*q + 11505)*(38*q - 49 + 49)*(3*q - q - 4*q) as y*q + c + k*q**2 + j*q**3 and give j.
-4028
Rearrange -11*b + 20*b**2 + 11*b + 9 - 9 - 11*b**2 + (-4*b - b + 4*b)*(2*b - 4*b + 4*b) - 10*b**2 - 2*b**2 + 16*b**2 to x*b**2 + m + k*b and give x.
11
Express -12422003*h**2 + 12421916*h**2 - 24 + 93 as q + f*h + g*h**2 and give g.
-87
Express -25381020 + 25381020 - 6518*x**2 as t + z*x**2 + w*x and give z.
-6518
Rearrange (0*u + 10*u - 4*u)*(8 + 17 - 10) + u - 77*u - 2 + 4*u to the form h*u + i and give h.
18
Rearrange -3*f**2 - 2*f**3 + f**2 + 418 - 29*f + 332 + 31*f to b*f + q*f**3 + x*f**2 + a and give q.
-2
Express 47*i + 2*i**2 - 53*i + 158966 - 158308 as r*i**2 + h*i + d and give h.
-6
Express (-46*t - 1 + 5 + 49*t)*(4*t**2 + 2*t**2 - 5*t**2) - 305*t + 305*t + 22*t**3 + (4 + t - 4)*(-t + t - 4*t**2) as d*t + b*t**2 + l + o*t**3 and give o.
21
Express 27*f**3 - 11*f**3 - 9 - 15*f**3 + 2*f**2 - 4*f**2 + 19*f - 21*f in the form n*f**3 + y*f**2 + c*f + d and give c.
-2
Express -14571 + 7281 + 3*k**2 + k - k**2 - 9*k**3 + 7278 in the form t*k + x + z*k**3 + f*k**2 and give t.
1
Express (-i - 2*i + 2*i)*(442 + 82*i + 39*i - 117*i) as y + x*i + a*i**2 and give a.
-4
Express -19238*h - 17040*h + 26313*h as r + u*h and give u.
-9965
Rearrange (-39*f + 4 - 4)*(0 + 0 - 2) - 7*f + 40*f + 29*f to t*f + g and give t.
140
Express 225 + 586 + 2*i**2 - 2*i**3 + 727 in the form d*i**3 + v*i + o + b*i**2 and give b.
2
Express (3*t**2 + t**2 + t**2 + (t - t + 2*t)*(5*t - 4*t + 2*t))*(1 - 13 - 3)*(2 + 0 - 1)*(-2 - 2 + 5) in the form s*t + i*t**2 + g and give i.
-165
Express 20*b**3 - b**4 - 25*b**2 - 25*b**3 + 3 + 24*b**2 as q*b**4 + j*b**3 + g*b + k*b**2 + l and give l.
3
Rearrange 2*w + 3*w + 633*w**2 - 5*w - 2*w + 11775*w**2 to s*w + d + l*w**2 and give s.
-2
Rearrange -108992*d**2 + 0 + 217987*d**2 + 0 - 108995*d**2 - 2132*d**3 + (d - d + d**2)*(3*d + 2*d - d) to the form t + m*d**2 + h*d + p*d**3 and give p.
-2128
Rearrange 7 - 5*d**3 + 17*d**2 - 9*d - 9*d + d**3 - 6 + 19*d to the form h*d**3 + u*d**2 + w*d + c and give w.
1
Rearrange (-27*o**2 - 20*o**2 + 63*o**2)*(855*o + 140*o - 298*o) to f*o**3 + k + z*o**2 + d*o and give k.
0
Rearrange -a + 2*a + 8*a + 31*a - 214*a - 62*a + (2*a + 0*a + 0*a)*(-2 - 2 + 5) - 4*a - a + 4*a to s + o*a and give o.
-235
Express 457*j - 260*j - 193*j + j**2 - 23 + 165 in the form o + h*j + p*j**2 and give h.
4
Rearrange 204 - 5*p - 196 - 11 - 33*p**3 to b*p**2 + k*p + s*p**3 + q and give k.
-5
Express -56*a + 105*a + 8*a**3 - 42*a - 11*a**3 - 60*a - 1 as j*a**3 + r + f*a + u*a**2 and give j.
-3
Rearrange (-3*g + 3*g + 2*g)*(40 - 10 + 33) - 66*g - 28 + 28 to the form b*g + y and give b.
60
Express (355*p - 172 + 172)*(7*p - 4*p - 17*p) in the form g + m*p**2 + j*p and give j.
0
Express i - 1 - 1 - 2*i + 821*i - 4347*i - 1535*i + (-4 + 4 - 1)*(-i + i - i) in the form j + n*i and give n.
-5061
Rearrange (-31762 + 19291 + 15815)*(h**2 + 3 - 3*h**2 + 4*h**2) to l + w*h + c*h**2 and give c.
6688
Rearrange -71365592*u - 2442*u**2 + 71365592*u to d*u**2 + l*u + b and give d.
-2442
Express 16704*i - 8361*i - 8351*i - 2536 + 732 as w + l*i and give l.
-8
Rearrange ((26 - 15 - 21)*(2 + 0 - 4) - 3 - 2 + 4)*(570*i**4 + 876*i**4 - 1681*i**4) to g*i**3 + s*i**4 + n*i**2 + d*i + b and give g.
0
Express 11*f - 8*f**2 - 108*f + 572*f in the form u*f**2 + m*f + s and give m.
475
Rearrange 26 - 26 - 3225*z - 3439*z - 9146*z to the form w + s*z and give s.
-15810
Rearrange -18*x**2 - 513*x + 173*x - 12 + 170*x + 172*x to u*x**2 + g*x + b and give g.
2
Rearrange -46 + 263 - 299*r + 281*r to the form k*r + j and give k.
-18
Rearrange 400*n - 2977 - 837*n - 4846*n + 2978 to the form x*n + g and give x.
-5283
Express (-15*v**2 - 71*v**2 - 46*v**2)*(v + 9 + 14 + 12) as p*v**2 + n*v**3 + d*v + z and give p.
-4620
Rearrange -b + 7*b**3 - 6*b + 0*b + (-2*b**2 - b**3 + 2*b**2)*(2 + 3 - 4) + 58*b**2 + 24*b**3 - 58*b**2 to v + w*b + f*b**3 + l*b**2 and give f.
30
Express (-31*r + 16*r - 63*r)*(-r**3 - 34*r**3 - 6*r**3) in the form y + t*r**3 + w*r**2 + c*r**4 + l*r and give c.
3198
Rearrange (3 - 3 + o)*(-2447*o**3 - 131*o**3 - 1903*o**3) to the form i + w*o**4 + p*o + q*o**3 + j*o**2 and give w.
-4481
Rearrange 931*x + 167 + 2701*x + 578*x - 168 + 3147*x to s + d*x and give s.
-1
Rearrange -124*k**3 + k - 37*k**3 - 32*k**3 - 11*k**2 + 212*k**3 + 6 to o*k**2 + w*k**3 + q*k + l and give q.
1
Rearrange -v**2 - 2*v**4 - 1954*v**3 + 3907*v**3 + 3*v - 20 - 1955*v**3 + 6*v - 22 to f*v**2 + z*v**3 + o*v + c + y*v**4 and give c.
-42
Rearrange (-6*r - r**2 + 6*r)*(1 - 3 + 0) - 23*r - 12*r**2 + 24*r**2 - 13*r**2 to i*r + m + j*r**2 and give j.
1
Express (2*r**2 - 3*r**2 - 4*r**2)*(-394 + 6*r - 9*r + 1048 + 266) as a*r + d*r**2 + k*r**3 + x and give k.
15
Express -49*k**3 + 3*k**2 - 12*k**4 + 19*k**4 + 5 - 2*k**2 + 45*k**3 in the form j*k**3 + c*k**2 + f*k + h*k**4 + o and give c.
1
Rearrange (-1 + 1 + z)*(-1199*z - 1204*z + 521*z) - 2*z**2 + 0*z**2 - z**2 to the form f*z + a*z**2 + p and give a.
-1885
Express -4*m**4 + 5*m**3 + 7*m**3 - 3*m - 1 - 17*m**3 - 2*m + 3*m in the form q + z*m**4 + o*m + t*m**3 + d*m**2 and give o.
-2
Express 4 + 213249*s - 6503*s**2 - 5562*s**2 - 213249*s - 2 in the form p*s**2 + u*s + c and give p.
-12065
Express 20*r**2 - 134*r - 36*r**2 - 11*r**2 + 12*r**2 as w + u*r**2 + h*r and give h.
-134
Express 699*n**2 - 2457*n**2 - 2359*n**2 - 2912*n**2 as u + v*n + j*n**2 and give j.
-7029
Rearrange -6598*i + 665*i - 5963*i + 2885*i to o*i + u and give o.
-9011
Express -145023*a + 4 + 72499*a + 72503*a in the form r + n*a and give r.
4
Express 3687 - 8*c**2 + 14*c**2 - 51*c - 3684 - 7*c**2 - c**2 as z + i*c + x*c**2 and give z.
3
Express 6*y**3 + 136*y**4 + 3*y + 16*y**3 - 4*y**2 + 1 - 138*y**4 + 8*y**2 in the form s + l*y**2 + g*y**4 + a*y + x*y**3 and give g.
-2
Rearrange 0*z**3 - 2*z**3 - 23 - 11178*z**2 + 11137*z**2 to the form h*z**2 + g*z**3 + p*z + u and give h.
-41
Express (4*p - 2*p**2 - 2 - 6*p + 1)*(-2 + 1 - 6 + 106 + 145 + 109 + (-1 + 4 - 4)*(2 + 1 - 4)) in the form w*p**2 + y + k*p and give k.
-708
Express -3841 - 5*g**2 - g + g + 3873 - 2*g**3 in the form v*g**3 + y*g**2 + t + u*g and give t.
32
Express (118 - 38*s - 118)*(400*s - 149*s - 189*s - 1) in the form y + p*s + c*s**2 and give c.
-2356
Express -35 + 954803*r**2 + 8 - 954753*r**2 in the form a + b*r + t*r**2 and give a.
-27
Express 11 - 184*c**3 + 30 - c**4 - 43 as d + f*c**2 + r*c**4 + t*c**3 + s*c and give r.
-1
Rearrange (9*x - 5 + 5 + 2)*(-319 - 666 - 1715 - 1268 - 316) to the form z + m*x and give m.
-38556
Express -171*y**2 - 2 + 43*y**2 - 6*y**4 + 2 + 2 in the form j + m*y + u*y**3 + p*y**2 + b*y**4 and give u.
0
Express (0*h - 20 - 2*h + 31 + (-6*h + 6*h - 5*h)*(2 - 3 + 0) + 2*h + 4*h - 4*h)*(10 + 0 - 1) in the form y + x*h and give x.
45
Rearrange (2 - 2 + 3)*(-153*k - 70*k - 108*k) - 2*k - 4*k + 5*k to a*k + q and give q.
0
Rearrange 2*n**3 - 10*n**4 + 4 - 3*n**3 - 6*n**4 - 7 + 5*n + 5*n**4 to k*n**4 + c + h*n**2 + q*n**3 + v*n and give k.
-11
Rearrange -11*f - 13*f + 5*f + (-10 + 5 - 1)*(4 - 6 + 0)*(12*f - 71 + 71) to w + n*f and give n.
125
Rearrange 1 - 50*c**2 + 8*c**4 + 574*c - 289*c - 283*c to the form b*c**3 + f + d*c**4 + r*c + o*c**2 and give f.
1
Rearrange (-7*g**3 + 2*g**2 - 29*g**3 + 39*g**3 - 6)*(3 - 4 + 9) to z + j*g**3 + p*g + k*g**2 and give k.
16
Rearrange 2*u**2 - 4*u**
|
{
"pile_set_name": "DM Mathematics"
}
|
6
What is prob of picking 2 u when two letters picked without replacement from {f: 5, u: 5, l: 1, k: 7}?
10/153
Calculate prob of picking 2 r and 2 v when four letters picked without replacement from {r: 2, m: 2, v: 2}.
1/15
Three letters picked without replacement from {l: 3, g: 6, a: 1, m: 4}. Give prob of picking 1 l and 2 g.
45/364
Four letters picked without replacement from uywyukuuk. What is prob of picking 1 y and 3 u?
4/63
What is prob of picking 1 d and 3 h when four letters picked without replacement from {h: 3, x: 5, p: 6, z: 3, c: 2, d: 1}?
1/4845
Two letters picked without replacement from {y: 3, r: 1, m: 6, a: 5, l: 1, b: 4}. What is prob of picking 2 b?
3/95
Two letters picked without replacement from ohohkwoookohoooohoko. Give prob of picking 1 w and 1 h.
2/95
Calculate prob of picking 1 h and 3 w when four letters picked without replacement from {e: 1, m: 2, w: 8, f: 1, h: 7}.
98/969
Calculate prob of picking 1 m and 1 i when two letters picked without replacement from iofnfminppmm.
1/11
Calculate prob of picking 1 d and 2 t when three letters picked without replacement from ldrtrrl.
0
Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {t: 1, y: 2, q: 1}.
1/3
What is prob of picking 1 w and 1 b when two letters picked without replacement from bkwb?
1/3
Calculate prob of picking 3 o when three letters picked without replacement from kokkckcckckookco.
1/140
What is prob of picking 1 g and 1 h when two letters picked without replacement from ggghhggghggg?
9/22
What is prob of picking 3 k and 1 m when four letters picked without replacement from kmmmmkkmkmkm?
14/99
What is prob of picking 3 v when three letters picked without replacement from vvlvllvv?
5/28
Calculate prob of picking 3 o when three letters picked without replacement from oooaoaaaarrarrrgarsa.
1/285
Three letters picked without replacement from oyayyyzjyyazzjnzz. Give prob of picking 1 a, 1 j, and 1 z.
1/34
Four letters picked without replacement from {i: 2, k: 5, o: 2}. Give prob of picking 1 i and 3 k.
10/63
Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, f: 18}.
1/190
Calculate prob of picking 2 x and 1 q when three letters picked without replacement from {q: 3, x: 7}.
21/40
Calculate prob of picking 3 o when three letters picked without replacement from tooo.
1/4
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from wukokcwkwwwnwuu.
1/105
Four letters picked without replacement from tllpzzqklkplzqk. What is prob of picking 2 k and 2 l?
6/455
Calculate prob of picking 1 q, 1 d, and 2 i when four letters picked without replacement from {s: 2, u: 4, d: 1, i: 6, q: 2}.
2/91
What is prob of picking 1 i, 1 v, and 1 b when three letters picked without replacement from vvvvzzvivbjzivz?
2/65
Two letters picked without replacement from {a: 2, e: 1}. What is prob of picking 2 a?
1/3
Three letters picked without replacement from heppdpeheeeepepped. What is prob of picking 2 e and 1 h?
7/102
Four letters picked without replacement from yzimyyuuiyyyimynzyyy. Give prob of picking 1 z, 1 u, and 2 y.
12/323
Calculate prob of picking 1 x and 1 h when two letters picked without replacement from hetmnetx.
1/28
Three letters picked without replacement from {l: 4, n: 1, m: 1, g: 11}. Give prob of picking 3 g.
33/136
What is prob of picking 1 d, 1 t, and 1 s when three letters picked without replacement from jdsrktt?
2/35
Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {q: 1, k: 3, u: 4, t: 3}.
3/55
What is prob of picking 1 j and 3 f when four letters picked without replacement from jjjjjjfjjjjffjjjjjjf?
64/4845
Two letters picked without replacement from {m: 1, d: 3, n: 1}. What is prob of picking 2 d?
3/10
What is prob of picking 1 s and 1 r when two letters picked without replacement from rrssrssssrssrsrr?
21/40
Three letters picked without replacement from hhkkknhakpa. What is prob of picking 1 k, 1 n, and 1 p?
4/165
Three letters picked without replacement from {l: 4, g: 2, s: 1}. What is prob of picking 2 l and 1 s?
6/35
Calculate prob of picking 1 t and 1 c when two letters picked without replacement from emccememeccnentte.
1/17
Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {k: 13, g: 5}.
13/51
What is prob of picking 2 k when two letters picked without replacement from {y: 7, k: 3}?
1/15
Two letters picked without replacement from jzovjjg. What is prob of picking 1 z and 1 o?
1/21
Calculate prob of picking 2 x and 1 j when three letters picked without replacement from {z: 5, g: 2, x: 2, j: 3}.
3/220
Four letters picked without replacement from {j: 7, g: 6, l: 6, y: 1}. What is prob of picking 1 l, 1 g, 1 y, and 1 j?
84/1615
Calculate prob of picking 1 c and 2 k when three letters picked without replacement from ckckckgg.
9/56
Three letters picked without replacement from araaraaaar. What is prob of picking 1 r and 2 a?
21/40
Calculate prob of picking 4 f when four letters picked without replacement from ftffftfftfff.
14/55
Three letters picked without replacement from yyyzzmummrtztyz. Give prob of picking 1 y and 2 z.
24/455
What is prob of picking 3 f and 1 w when four letters picked without replacement from ffwwwwf?
4/35
What is prob of picking 1 h and 1 s when two letters picked without replacement from sssshsshshshshhhhh?
9/17
Calculate prob of picking 2 r when two letters picked without replacement from {u: 11, r: 9}.
18/95
Two letters picked without replacement from mcmxmxxxc. Give prob of picking 2 m.
1/12
Calculate prob of picking 1 q and 1 i when two letters picked without replacement from lisiiqa.
1/7
Calculate prob of picking 1 y, 1 f, and 1 g when three letters picked without replacement from {v: 2, j: 2, g: 2, f: 2, h: 2, y: 4}.
4/91
Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, x: 5}.
1/21
Calculate prob of picking 4 k when four letters picked without replacement from {m: 3, k: 12}.
33/91
Four letters picked without replacement from kkkkkzkkkkkk. What is prob of picking 3 k and 1 z?
1/3
Four letters picked without replacement from ppppppppp. Give prob of picking 4 p.
1
Four letters picked without replacement from {e: 3, k: 4}. Give prob of picking 1 k and 3 e.
4/35
Four letters picked without replacement from yyyyyyvyyyyyyyyyyyyy. What is prob of picking 4 y?
4/5
What is prob of picking 1 p and 1 s when two letters picked without replacement from {s: 2, p: 2}?
2/3
What is prob of picking 2 g and 1 q when three letters picked without replacement from {g: 7, y: 2, z: 1, f: 1, x: 2, q: 1}?
3/52
Calculate prob of picking 3 n when three letters picked without replacement from {f: 2, n: 9}.
28/55
Two letters picked without replacement from {w: 5, x: 1, e: 1, f: 4, h: 1, p: 5}. Give prob of picking 1 e and 1 p.
5/136
What is prob of picking 1 k and 2 i when three letters picked without replacement from kiki?
1/2
Calculate prob of picking 1 r and 1 j when two letters picked without replacement from jjrjjjrjjjjj.
10/33
Three letters picked without replacement from boububbbboubbbbbbb. Give prob of picking 1 b and 2 u.
13/272
What is prob of picking 1 s and 1 v when two letters picked without replacement from {m: 2, s: 1, f: 1, l: 3, v: 2, d: 3}?
1/33
What is prob of picking 3 z and 1 v when four letters picked without replacement from vszz?
0
Calculate prob of picking 1 c, 2 z, and 1 y when four letters picked without replacement from czypzyyzzppz.
2/33
Two letters picked without replacement from fxgpggfqggsqqfffg. What is prob of picking 1 x and 1 s?
1/136
Calculate prob of picking 1 p and 1 u when two letters picked without replacement from uuupppuuuuuuuupupuu.
70/171
Three letters picked without replacement from ippzdziidzzozizzd. Give prob of picking 2 p and 1 i.
1/170
Four letters picked without replacement from uuwwwwwu. What is prob of picking 1 u and 3 w?
3/7
Two letters picked without replacement from mimxtmidmdtiktx. What is prob of picking 1 m and 1 d?
8/105
Two letters picked without replacement from cddfu. What is prob of picking 2 d?
1/10
What is prob of picking 1 j and 1 d when two letters picked without replacement from {p: 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
3*u, -3*u = -9*n + 4*n + 20 for n.
1
Let i(g) = 2*g**2. Let v be i(-1). Suppose h = v*h. Solve -2*u = 3*t + 3 + 5, h = -5*u + 10 for t.
-4
Let l = -16 - -29. Suppose -p = 6 - 9. Solve i - 1 = j - 4, 5*j = p*i + l for i.
-1
Let a = 4 + -2. Let q(r) = -r**2 + 6*r - 6. Let b be q(4). Suppose -g + b = -a. Solve -3 = -t + g*v - 28, 5*v = -5*t for t.
-5
Let t be (5/15)/((-2)/(-12)). Suppose -11 = -t*u - 2*u - c, 5*u = -5*c - 5. Solve -5*q = -u*v - 3, 3*v - q = 5*v + 5 for v.
-2
Let j = -17 - -12. Suppose -3*h + 6*h - 14 = 2*m, -52 = -4*h - 4*m. Let f = h + j. Solve 2*p - 5 = -2*y + 3, 0 = -f*p + y for p.
1
Suppose 3*s = -q - 4, s = 4*s - 3. Let x = -4 - q. Solve -4*z = -5*d, -2 = x*d + 2*z + 20 for d.
-4
Let h(f) = -2*f - 7. Let x be h(-6). Suppose -3*j = -0*j + 24. Let i = j + 13. Solve 0 = -i*c + 15, 4*g - 3*c = -0 - x for g.
1
Suppose 0 = -3*g + 15 - 9. Solve -g*h - 18 = 3*q + 5, 0 = -3*h - q - 17 for h.
-4
Let p be (1 + -2*1)/(-1). Let v be -2 - p*-3 - -3. Suppose -4*g = -4, 2*g = h + 3*g - 3. Solve t + 3*t = -h*k - v, -5*k - 2*t + 14 = 0 for k.
4
Suppose 0*p + 5*p = 30. Let k = 1 + 1. Solve 0 = k*r + 2*l, 0 = r - l - l - p for r.
2
Let g be (2/(-4))/((-3)/6). Let d = 19 - g. Solve -2*m + 4*t - 17 = 3*m, 4*m - t = -d for m.
-5
Let t = -75 + 90. Solve -d + 4*g = 24, 6*d + t = d - g for d.
-4
Let f(w) = -w + 4*w - 4 - 1. Let z be f(5). Suppose -5*m + s - 5 = 2*s, -2*s = 5*m + z. Solve 26 = v + 5*b, -4*b + 0*b + 20 = m for v.
1
Let h be 4/10 + 16/10. Suppose 0 = 2*n - 8 + 26. Let m = -3 - n. Solve -14 = h*w - p + 3*p, m = -3*p for w.
-5
Let z(b) = b**2 - 2*b. Let j be z(2). Let d be 2/4*-3*-2. Solve j = 2*i + 3*i, d*u - 15 = 5*i for u.
5
Suppose 4*u - 2*u = -38. Let q = 1 - u. Solve 5*l + 0*l - 36 = 4*h, -5*h = q for l.
4
Let m(j) = j + 21. Let w be m(-21). Solve -3*b - 9 = w, -4*k - 11 = 2*b + 15 for k.
-5
Suppose -3*t + 5*u - 13 + 4 = 0, -16 = -2*t - 4*u. Solve -v - 1 = 5*m + 4, t*m - v + 2 = 0 for m.
-1
Let r = -9 - -3. Let x = -2 - r. Solve -x*p + w + 16 = 0, w - 11 = -4*p - 3 for p.
3
Suppose 0 = 4*d + 3*a - 11, -d + 2*a = -0*a. Solve 0 = 4*b - b - 6, -d*r - 4*b = -8 for r.
0
Let m be -2*(3 - (-27)/(-6)). Let y be m/(-12) + 116/16. Solve -4 = -4*v, -y = 2*b - 3*v - 2*v for b.
-1
Let v = 101 + -78. Suppose -h - 6 = -4*h. Solve -h*z - 17 = -3*l, -z = 4*l - v + 4 for l.
5
Let z be 1/((-2)/(-4)) - 0. Solve 0 = -2*x + z*n + 14, 5*x = -2*n - 2 + 23 for x.
5
Let x(y) = -y**3 + 6*y**2 + 3*y - 11. Let o be x(6). Suppose 4*m = -c - 13, -4*c = -6*c - m + 2. Solve 3*h + 3*r + 9 = 0, -o*h - c*r = -3*h + 13 for h.
-4
Let q(x) = -x**3 - 2*x**2 - x + 1. Let m be q(-3). Let t = m - 5. Solve 0 = 4*h - 2*g - 2*g - t, 2*g = 3*h - 8 for h.
4
Suppose 0 = -y - 4*y + 30. Let x = 6 - y. Solve 2*g - 5*l + 20 = 0, 1 = -x*g - g - 2*l for g.
-5
Suppose 12 = d + 3*d. Suppose -d*c = -6*c. Solve c = 5*y + 5*b - 10, 3*y - 3*b - 16 = -b for y.
4
Suppose -55 + 11 = -5*q - 4*g, -5*g = 5*q - 40. Solve -5*k - q - 9 = -4*j, -3*j + 4*k = -17 for j.
-1
Let g(v) = 2*v - 10. Let r be g(7). Suppose -r = -3*m + 5. Let q(x) = x**2 - 4*x - 2. Let l be q(5). Solve 0*b + m*o - 15 = l*b, 5*b = -o - 19 for b.
-4
Let q = 69 - 59. Solve -3*t - 2*t = 2*m - q, -6 = -3*t for m.
0
Let q(l) = l**2 - 4*l + 1. Let j be q(3). Let n be ((j + -2)*-1)/2. Let s be (-84)/(-16) - n/8. Solve 0 = 2*c - 10, -2 = -3*u + s*c - 33 for u.
-2
Let y = 11 + -4. Suppose -y - 4 = -t. Let z = 4 + -2. Solve -2*q - z*r + r = -t, 5 = 2*q - r for q.
4
Let h(f) = -f**2 + 5*f - 1. Let i be h(4). Let n be 2*((-36)/(-8) - 3). Solve n*g = -4*v - 20, -i*v = g - 5 + 15 for g.
-4
Suppose -2*p = -w + 25, -2*w + 19 = -w + p. Let m(i) = i**2 + i - 1. Let h be m(2). Solve 3 = 3*s, -w = h*n - 2*s - 9 for n.
-2
Let w be (8 + (-16)/4)*1. Solve -w*y = -20, -5*k + k + 3*y = -1 for k.
4
Suppose -s + 2*s = 6. Suppose -2*p = -s*p + 28. Let i = p + -3. Solve 0*b = -3*b - 4*x, b + i*x = 0 for b.
0
Let i be (1/5)/((-6)/(-60)*2). Solve z + i = 0, -4*u - 1 = -6*u - 5*z for u.
3
Suppose -k + 0*k - g = -7, -2*k = -5*g - 7. Let f be (13 - -2)*(-1)/(-3). Solve 8 = f*a + 4*w, 3*a + a + 3*w = k for a.
0
Let p(m) = -m**2 - 10*m - 5. Let l be p(-9). Solve 0 = -l*b - 3*y + 11 - 1, 2*y + 8 = b for b.
4
Let k(h) = -h**3 + 8*h**2 + 5*h - 35. Let y be k(8). Solve 0*g - g = -y*c - 6, 0 = -2*c - 3*g - 16 for c.
-2
Let q = -35 - -59. Suppose 0*z + 3*z = 6. Solve 2*g + z*g = -2*u - 2, 3*g = 3*u - q for u.
5
Let f be (-37)/((-1)/1) + 3. Let a = -22 + f. Let v be 68/a + (-2)/(-9). Solve -3*d + 25 = -2*q, v*d - 9*d + 30 = -q for q.
-5
Suppose 2*o - 7 - 5 = 0. Let q be o/(-9) + 16/6. Suppose 40 = q*x + 4. Solve -b = 5*u + x, -2*u + b - 4 = 3*b for u.
-4
Suppose 1 = k - 7. Suppose 2*x + k = 4*x. Solve 0 = 2*z + 5*u - 1, -x*z - 2*u - 3 = 3 for z.
-2
Let v = -122 + 127. Solve -j - 5*m = -23, v*j - 3*m + 0 = 3 for j.
3
Let i be 5 + (-1 + 2)/(-1). Solve 4*y - l - i = 0, -3 = -y - 2*y + 4*l for y.
1
Let r = -14 + 17. Solve 0 = -2*z + 5*n - 25, 4*z + r*n + n - 20 = 0 for z.
0
Suppose -s = -4*a - 0 - 9, -62 = -2*s - 3*a. Solve 3*j + v - s + 8 = 0, 3*j - 4*v = -8 for j.
4
Suppose 0 = 2*x + 4 - 0. Let l = -3 - x. Let n(i) = 5*i**2 + i + 1. Let v be n(l). Solve -3*r + 15 = v*g, g = 4*r - 12 - 8 for r.
5
Let n(l) = 9*l**2 + 2*l - 1. Let m = 4 - 3. Let d be n(m). Solve -q + 11 = 5*h - 17, -h = -5*q + d for q.
3
Let n(u) = -u + 15. Let v be n(10). Suppose 2*q - 4*z = 4*q - 22, -62 = -v*q - 3*z. Solve 0 = -2*x - 3*i - 1, 5*i = 3*x + x + q for x.
-2
Let r(h) = h**2 - h - 1. Let p be r(3). Suppose 2*j = p*k - 7, 4*j + 4*k = -0*j + 28. Let x be 2/5 - 36/(-10). Solve g - 4*c = -x*g - 15, -3*c = j*g - 19 for g.
1
Let z(y) = y**3 + 13*y**2 - y - 10. Let u be z(-13). Solve -5*o + 2*v - 10 = -u*v, -5*v = o - 16 for o.
1
Suppose o + 2 = -0*o, o + 2 = -2*r. Suppose -2*f - 8 = r, 0 = 5*x - 3*f + 4*f - 66. Solve -4*a + x = -2*m, 2*m - 27 = -2*m - 3*a for m.
3
Let z(k) = -k + 24. Let b be z(21). Solve v - b*m - 10 = 2*v, -2*m = 2*v + 8 for v.
-1
Let l(a) = -a**2 + 5*a + 2. Let x be l(4). Let r be 8/x*(-9)/(-6). Solve 2*v - 2*n + 11 = n, n = -v + r for v.
-1
Let b(l) = l**3 + 5*l**2 + 5*l + 4. Let r be b(-4). Let n be 19 + (r - (2 - 0)). Let a = n + -12. Solve 5 + 12 = a*z + q, -4 = -2*z + q for z.
3
Let a be ((-2)/(-3))/(4/30). Solve p = -6*x + 3*x - 11, 0 = -x + p - a for x.
-4
Suppose -p + 1 = -4. Suppose 0 = -4*c + 2*g - 54, -p*c + 0*g - 3*g - 73 = 0. Let d be 5/7 - 4/c. Solve 2*n - 8 + d = -3*a, -4*a + 21 = 5*n for a.
-1
Suppose 4*g + 4*z = 0, 5*g = g + 5*z. Suppose 0*r + 5*r = g. Solve -4*i + 3*y = 12, 0 = 3*i - r*i - 3*y + 12 for i.
0
Suppose -10 = -2*c + 2*v, 0*v = 3*c - 4*v - 16. Suppose -c*l + 12 + 52 = 0. Suppose 4*u = 13 + 7. Solve -3*m + l = u*o, -3*m - o - o = -1 for m.
-3
Let d = -67 + 69. Solve -3*x = -5*h + 2, -4*h + 0*h = -2*x - d for x.
1
Let a(n) = -n + 7. Let o be a(-10). Solve -4*j + 3*y + o = 0, -3*j + j - y = -1 for j.
2
Suppose 0 = p - 5*s + 12, 2*s - 4*s = -4. Let f be (3 - 2) + (1 - p). Solve 0 = -3*x + f*z + 14, x = 4*z - 9*z - 8 for x.
2
Suppose -4*b + 5*i = -3*b - 35, -3*i - 57 = -3*b. Suppose 5*c + b = 0, -q - 4*c = 6 + 5. Solve -5*j - 16 = 2*t, -3*t + q = j - 6*j for t.
-3
Let n(l) = -l**3 - 3*l**2 + 3*l - 4. Let w be n(-3). Let m = -10 - w. Solve -4*q - 2 = c - 4, -5*q + m = c for c.
-2
Let f = -5 + 5. Suppose f = 2*h + 2*h. Let c be (6/(-5))/(5/(-25)). Solve -2*q = -h*q - c, -w - q = 2 for w.
-5
Suppose -8*b = 4*m - 7*b - 25, 0 = -m + 4*b - 15. Solve -m*z = -3*l + 18, -z - 8 = 2*z + l for z.
-3
Let d(k) = k**2 - 2*k + 2. Let c be d(6). Suppose -l - 3*g = -7, -g + 4 + 9 = 3*l. Solve 20 = 5*p - l*j - j, p + c = -5*j for p.
-1
Suppose 3*l - 12 + 0 = 0. Solve 3 = -5*p + 3*w - 1, l*p = w + 1 for p.
1
Let p = 26 + -23. Solve -2*w + 2*d + 3*d = 0, -3*w + 9 = -p*d for w.
5
Suppose -l - 2*l = 4*v + 35, 0 = -3*v - l - 20. Let h be (1 + 0)/((-1)/v). Suppose -7 = -h*c + 13. Solve -3*i + c*p + 3 = 0, -i + 5*p = p - 1 for i.
1
Let b(s) = s. Let x be b(3). Let g = 13 - 10. Solve 3*k - 4*k = -g*h + 9, 0 = x*k - 9 for h.
4
Let s = 5 + -1. Suppose -u = s*u. Let t(f) = f**3 - f**2 + 4. Let x be t(u). Solve x*q - l + 5*l - 20 = 0, 5*q - 22 = -2*l for q.
4
Let h(j) be the second derivative of -j**3/6 + 5*j**2 + 9*j. Let i be h(7). Solve 2*x = i*s + 6*x + 19, 0 = 4*x + 16 for s.
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
t value in t, b, -7/6?
-7/6
Suppose -306*o = -954 - 576. Which is the third biggest value? (a) o (b) 2/3 (c) 1/161
c
Let x = -0.2 - 0. Let w(l) = 4*l**3 - 67*l**2 - 179*l + 153. Let s be w(19). Which is the fourth biggest value? (a) -0.046 (b) s (c) 4 (d) x
d
Let f be (4/(-8) - -1)*28. Let j(w) = w**3 - 22*w**2 + 114*w - 24. Let z be j(f). Let u = 0.5 + -0.3. Which is the biggest value? (a) 2/5 (b) z (c) u
b
Suppose -s - 4 = s. Let a = -424 - -437. Suppose a*l = 9*l - 36. What is the biggest value in s, -4, l?
s
Let t = 28171.5 - 28172. What is the second smallest value in -1.1, 9, t, -8, 1/7?
-1.1
Let y = -0.6022 + 0.3022. Which is the third smallest value? (a) 1/2 (b) y (c) 2/21 (d) 20
a
Let m = 0.0397 - -0.0003. What is the third smallest value in m, 1, 2, 3?
2
Let x = -6.941 - -3.941. Let q = 0.06 - 0.36. Let t = q + 0.8. Which is the third smallest value? (a) -5 (b) t (c) x
b
Let h = -1402/13945 - -3/5578. What is the biggest value in -1017/2, h, 4, 4/5?
4
Let v = -0.07 + 0.04. Let g = 49.9 + -33. Let z = g + -18.9. Which is the third biggest value? (a) v (b) -3/5 (c) z
c
Let z = -9.752 - -4.752. What is the third biggest value in z, 25, -40?
-40
Let o = -37 - -37. Let x = 0.744 + 3.256. Which is the third biggest value? (a) x (b) 0.5 (c) o (d) 5
b
Let v = 3/83 - -409/166. Let r = 185152 - 28328098/153. Let l = r + -10/17. What is the second smallest value in v, -25, l?
l
Let n = -3.81027 + -0.18973. What is the smallest value in -0.01, 120, n?
n
Let k = 108 + -107.8. Let t = -10 - -6. Let r(w) = -w**3 + 13*w**2 + 4. Let h be r(13). Which is the third smallest value? (a) k (b) 0.4 (c) t (d) h
b
Let b = -2012 + 2008. Let x = 0.12 - 0.02. What is the third biggest value in 0.02, x, 0, b?
0
Let g be ((-2)/2)/((-4)/3). Let m = -583.7 + 583.7. Which is the third smallest value? (a) m (b) 0.4 (c) 5 (d) g
d
Let c = 1484 - 1484.5. What is the third biggest value in 2.4, c, 1.4?
c
Let z = -2.15 - -2.15. Let h = 0.42 + -2.12. Let q = h - 2.3. What is the biggest value in z, -1, q?
z
Let i = 73 + -73.5. Let q = -14 + 16. Let u = 7754/17 - 456. Which is the third biggest value? (a) q (b) u (c) 2/21 (d) i
c
Let g = 285.9687 - -0.0313. Let o = g - 287. Which is the third smallest value? (a) o (b) 0.4 (c) -266
b
Let i(c) be the first derivative of c**3/3 - 4*c + 141. Let f be i(-2). What is the biggest value in 0.007, f, -2?
0.007
Let c be (4 - 8 - -6)*(2 - -58). Let n = 116 - c. What is the third smallest value in -7, n, 3/2?
3/2
Let h be ((-4)/(-14))/(1564/(-782)). Let r = 4.94 + 0.06. Let f = r + -7. What is the fourth biggest value in h, 3/2, f, -1?
f
Let r = 8729 - 8725. Which is the second biggest value? (a) 0.4 (b) -0.18 (c) r (d) 0.1 (e) 0.3
a
Let y = 6251 - 6251.1. What is the smallest value in 2/3, 116, -4/9, y?
-4/9
Suppose 78 = -2*f + 43 + 43. What is the third biggest value in 11, 0, -12/5, 5, f?
f
Let t = 0.84413 - 0.04413. Which is the second smallest value? (a) t (b) 0 (c) -0.5 (d) 0.1
b
Let w = 20/149 - 229/596. Let s = 0.2 + 0. Let y = s - -0.3. Which is the second smallest value? (a) -33 (b) y (c) w
c
Let l = -0.2824 - -5.2824. Which is the smallest value? (a) 3 (b) -2 (c) -0.3 (d) l (e) 8
b
Let g = -12 - -9. Let h be 4/g*18/(-12). Let j(q) = -q**3 + 2*q**2 + 1. Let v be j(h). What is the second biggest value in v, -0.4, 46?
v
Let h = 9.7 + -4.82. Let v = 4.98 - h. Which is the second smallest value? (a) -38 (b) v (c) 4
b
Let j = 4.03 + -0.03. Let u = 0.14 - 0.24. Let l be 6/10 + (-306)/810. What is the fourth biggest value in -5/4, l, u, j?
-5/4
Let f = -23614 + 23613. Which is the smallest value? (a) f (b) 3/25 (c) -2/5 (d) 1
a
Suppose -111 = -7*l + 10*l - 3*p, 90 = -2*l - 2*p. Which is the biggest value? (a) l (b) 2 (c) 0.09 (d) -4
b
Let n = -9.5 - -10. Let f = 2.5 - n. Let a = -1333 - -1333. What is the smallest value in -1/2, -0.1, f, a?
-1/2
Let k = 116 + -114. Let v be 2/6*23/(414/12). Which is the third smallest value? (a) -4 (b) 1/4 (c) v (d) k
b
Suppose -x + 5*j + 29 = 10, 0 = -3*j - 12. Let v be (1056/(-2970))/((-1)/(-10)). Which is the third smallest value? (a) x (b) v (c) 0
c
Let k = 728.5 - -159.5. Let t = k + -888.2. Let s = 8/7 - 17/21. What is the third smallest value in -5/4, t, s?
s
Let u(f) = -f**2 + 2*f + 324. Let y be u(-17). Let x = 23.9 + -24.1. What is the fourth smallest value in y, 14/5, -0.5, x?
14/5
Let t = -97.1 + 99. Let j = 803 + -801. Which is the third biggest value? (a) -0.1 (b) t (c) -3 (d) j
a
Let f be (-228)/(-152) + -1 + 1. What is the second biggest value in f, -7, -0.3, 1, -0.07?
1
Let f = -126.21 + -4.79. Let y = f - -134. Let j = 1/37 - -33/148. Which is the fourth smallest value? (a) y (b) -3/4 (c) -0.2 (d) j
a
Let f = 2439.3 + -2436.3. Let t = 6 - 11. What is the third biggest value in 0.02, 0.4, t, f?
0.02
Let w = 1/12 + -3/4. Let k = -631 + 629.996. Let s = -0.804 - k. Which is the third biggest value? (a) w (b) -3 (c) s
b
Let l = 913/7 + -3645/28. Which is the biggest value? (a) 5 (b) l (c) 0 (d) 3
a
Let z = -180.67 - 8.43. Let x = z - -189. Which is the third smallest value? (a) x (b) 0.5 (c) 0
b
Let i be ((-18)/(-9))/((-5)/20). Let u = -0.46 + 0.56. Which is the third biggest value? (a) i (b) u (c) -0.2 (d) 5
c
Let n = -35.4 + 37. Let s = -1.6 + n. Let y = -0.2 - -0.3. What is the fourth biggest value in s, y, -1, -2/19?
-1
Let v = -3420 - -3419.8. Which is the smallest value? (a) v (b) -9/4 (c) -3
c
Let n = -76.8 - -61.8. Which is the third smallest value? (a) 4 (b) 2.4 (c) n
a
Let q be (-8 + 9)*(-1)/8. Let o be (-5)/(-4)*936/(-18). Let w be 2/12 - -3*o/90. What is the second biggest value in -0.3, w, q?
-0.3
Let x = -265 + 265.286. Let l = 29.286 - x. Let b = 532/5 + -106. What is the smallest value in -5, l, b?
-5
Let x(i) = i**2 - 17*i - 3. Let m be x(17). Suppose 8 = 11*v - 9*v - 2*z, -z - 12 = -5*v. Let t = 0.01 - 0.21. What is the fourth biggest value in t, m, v, 1/4?
m
Let m = -0.02 + 0.12. Let q = -0.012 - -6.612. Let g = q - 6.2. What is the second smallest value in 3, g, m?
g
Let p be ((-1*1)/1)/(-1). Let u = 15887 + -15886.7. Let s be 0 + (-175)/(-40) + -4. Which is the second biggest value? (a) u (b) -1 (c) s (d) p
c
Let o = -0.094 + -43.906. Let x = -2 + 1.9. What is the second smallest value in 4, x, o?
x
Let u be 27/72 - 461980/(-608). Let m = 760 - u. What is the third biggest value in 2/7, m, 5?
m
Let o = 0.28 - -0.02. Let c be ((-60)/5 - -9) + 5. Let q be (c/(-6))/(77/(-1155)). What is the biggest value in o, q, -0.5, -9?
q
Let h(q) = -q**3 + 16*q**2 + 2*q - 32. Let p be h(16). Which is the third smallest value? (a) p (b) 0.3 (c) -39 (d) -5
a
Let t(h) = 2*h**3 - 112*h**2 - 111*h - 178. Let n be t(57). Which is the smallest value? (a) 37 (b) -0.3 (c) n
c
Let t = -9.72 + -0.28. Let i = -52 + t. Let l = i - -61.9. What is the smallest value in l, 1/2, -0.03?
l
Let v = 320.9 + -316.9. What is the third smallest value in 11, -0.5, v, -2/5?
v
Let l = 89 + -87. Let m = 136 - 1222/9. What is the biggest value in 1/3, -4, l, m?
l
Let f(w) = 3*w**3 + 39*w**2 - 8*w - 101. Let g be f(-13). What is the second biggest value in 0, -1/4, -16, g?
0
Let h = -0.3 - -0.4. Let l = 76981 + -76905. What is the biggest value in 3, l, -1, h?
l
Let l = -10058.1 - -10058. Which is the smallest value? (a) l (b) -0.4 (c) 1153/3
b
Let w(j) = j**2 - 32*j - 642. Let v be w(-14). What is the biggest value in 0.2, v, -369?
v
Let m = 6053/4 + -1513. Which is the fifth biggest value? (a) 5 (b) 0.89 (c) -2/19 (d) 2/7 (e) m
c
Let u be (-10)/(-1) - (-2225)/(-267). Let i = 0.14 - -2.86. Let h be ((-2)/(-30))/(1/3). Which is the smallest value? (a) u (b) -1 (c) h (d) i
b
Let w be ((-24)/(-33))/(-1)*476/(-56). Which is the second biggest value? (a) -0.3 (b) w (c) 2/9
c
Suppose -4*t - 24 = 19*n - 20*n, 0 = -5*n + t + 63. Let f = 1.7 - 2.4. What is the smallest value in 2/11, f, n?
f
Let g = -0.01 + -0.29. Let r be 828/(-15)*21/(-24). Let u = -97/2 + r. What is the second biggest value in 3, g, u?
u
Let v = 10 + -6. Let m = 4 - v. Let g = 3053/40851 + -1/1513. What is the smallest value in g, m, 1?
m
Let c be ((-78)/8)/((-123)/164). What is the biggest value in c, -4, 3, 7?
c
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
= -5*w + 2*q. Suppose 2*x = 62 - w. Suppose u + 165 = 3*u + 5*a, x*a = -3*u + 240. What is the units digit of u?
5
Let v be (-4 - (-30)/4) + (-6)/4. Suppose 0 = -v*m + 10. Suppose m*c + x - 595 = 776, -c + 3*x = -271. What is the hundreds digit of c?
2
Suppose -2*l + 19 = 6*p - p, -1 = -2*l + p. What is the hundreds digit of 1986/(l/(-1))*(-6)/9?
6
Suppose 4*y = -2*b + 6*b - 6472, 0 = 3*b + 6*y - 4881. What is the tens digit of b?
2
Let c be -2679 - (-2 + -8 - -5). Let u = -1306 - c. What is the units digit of u?
8
Let y = -112 - -107. Let w be 1 + 1 - (y - (-2 - 1)). Suppose -w*c + 360 + 4 = 0. What is the tens digit of c?
9
Suppose -3*k + 3 = 0, -23613 = -5*x - 23*k + 20*k. What is the hundreds digit of x?
7
Let u = 13499 + -7797. What is the tens digit of u?
0
Suppose -2*m - 3*q - 737 = 0, 4*m + 1444 = -q + 5*q. Let j = -241 - m. What is the hundreds digit of j?
1
Suppose 30 = -0*c + 5*c. Suppose -5*m = -4*x + c*x - 124, -2*m = -3*x + 205. Suppose h + x = 3*l - 50, -5*h - 53 = -l. What is the units digit of l?
8
Let u(s) be the third derivative of -s**6/120 - s**5/20 + s**4/8 - 8*s**3/3 - s**2. Suppose -3*m = 5 + 10. What is the units digit of u(m)?
9
What is the ten thousands digit of -30678*(-9*(-9)/162)/((-5)/10)?
3
Let x(i) = -594*i**3 - 6*i**2 + 41*i + 141. What is the units digit of x(-3)?
2
Suppose -6 = 5*x - 3*w, 3*x + 2*x = 2*w - 4. Suppose -5*n + 540 + 265 = x. Let z = -94 + n. What is the units digit of z?
7
Let l(b) = -34*b - 303. Let a be l(-3). Let n = 834 - 1199. Let c = a - n. What is the units digit of c?
4
Suppose 0 = -5*b - 5, 0 = 5*u - 3*b + 185 + 382. Let z be (-7)/(-3) + u/18 + 6. Suppose -z*p + 6*p - 256 = 0. What is the units digit of p?
4
Let n(o) = o**3 + 51*o**2 + 96*o + 96. What is the tens digit of n(-43)?
6
Suppose -167*b = 9*b - 554928. What is the hundreds digit of b?
1
Let x(d) = 123*d**2 + 167*d + 27. What is the hundreds digit of x(15)?
2
Suppose l - h - 6202 = 0, 2*h = 3*l + 5077 - 23683. What is the thousands digit of l?
6
What is the thousands digit of 5 - (-17)/(-3) - (-26474)/21?
1
Suppose -2*j = -7*j, -2*j + 160 = -2*w. Let x be (10/8)/((-10)/w). Suppose -2*z + 0*z - x = 0, 2*z = -2*o + 112. What is the tens digit of o?
6
Let y(r) = -7*r**2 - 18*r - 304. Let l(b) = 38*b**2 + 91*b + 1520. Let i(c) = -2*l(c) - 11*y(c). What is the hundreds digit of i(-42)?
3
Let t be 2518 - (7 + -6 + 3). Let u = t - 1540. What is the units digit of u?
4
Suppose -25*c = -26*c + 198. Suppose 5*z = -z + c. Suppose z*v - 480 = 28*v. What is the tens digit of v?
9
Let x be 264/(1/(-1)) - -2. Let w be 164/205 + -107*(-21)/(-15). Let r = w - x. What is the units digit of r?
3
Let l(t) = 261*t**2 + 18*t + 410. What is the hundreds digit of l(14)?
8
What is the ten thousands digit of (-1799)/(20/(-264)*(-10)/(-25))?
5
Let b = -473 - -473. What is the hundreds digit of -5 - (-2 - b - 2014/2)?
0
Suppose 5*d + 169 - 189 = 0. Suppose 0 = 5*b + d*o - 1059, -2*b = -o - 407 - 27. What is the tens digit of b?
1
Let z(m) = m**2 + m. Let f be z(-2). What is the units digit of ((-7184)/(-72) - 2) + f/9?
8
What is the hundreds digit of 2/(11/((-187)/(-34))*(-2)/(-6506))?
2
Let s be 5074/86*1*1/(-1). Let o = s + 280. What is the tens digit of o?
2
Let u(d) = -d**3 - 51*d**2 - 49*d + 74. Let r be u(-50). What is the hundreds digit of 28956/r - (2 - (-10)/(-4))?
2
What is the tens digit of (-6396)/(15*11/(-110))?
6
Let u = -4776 - -6596. What is the thousands digit of u?
1
Suppose 24*s - 70410 = 40734. Suppose s = 7*w - 325. What is the hundreds digit of w?
7
Let k(d) be the third derivative of 5*d**4/24 + 23*d**3 + d**2 - 81*d. What is the tens digit of k(-9)?
9
Let x be (-2)/(-34)*2 + 208/(-34). What is the units digit of 23016/54 + x/27?
6
What is the hundreds digit of (-5)/(20/(-88264)) + (11 - 126/14)?
0
Let k(s) = 8*s + 19*s + 33 - 8*s + 2*s. What is the units digit of k(6)?
9
Suppose 31*q - 259516 + 50371 = 16*q. What is the units digit of q?
3
Let w be (6*(2 + -1))/((-2)/(-1)). Let f be 3*(w + (-32)/12)/1. What is the units digit of 2 + f - (-3 + (-171 - 3))?
0
Let f(b) = -4*b**3 - 16*b**2 - 12*b - 21. Let x be (47/47)/(-2 - (-22)/12). What is the tens digit of f(x)?
3
What is the units digit of (-3)/(3/(-2))*(-4 + 14725/2)?
7
Suppose 27*u - 5 = 26*u. Suppose -110*t - 810 = -113*t. Suppose t = 8*f - u*f. What is the tens digit of f?
9
Suppose -4*t + 4*o + 53772 = 0, -20 = -32*o + 27*o. Suppose 15*x + 1237 = t. What is the hundreds digit of x?
8
Let g = -1 - -9. Suppose 0 = -8*h + 67 + 485. Let d = h + g. What is the tens digit of d?
7
Let q(t) = t**2 - 7*t - 43. Let k be q(11). Let l(o) = 153*o + 8. What is the tens digit of l(k)?
6
Suppose -3*t + 264 = 8*t. Let s(x) = x + 3. Let i be s(3). Suppose -5*z + i = -t. What is the units digit of z?
6
Suppose 7*c - 3*t = 3*c + 74, -3*c = -t - 53. What is the units digit of (14 - c) + (-557)/(-1)?
4
Let v = 749 + -420. Suppose 0 = -4*m - f + 1289, -2*f + v = m - 4*f. What is the hundreds digit of m?
3
Suppose -4*f = -f - 33. Suppose -1044 = -u - f*u. Let i = u - 37. What is the units digit of i?
0
Let b = -6 - -290. Let q be ((-3)/(-6))/(1/b). Let t = -79 + q. What is the tens digit of t?
6
Suppose 3*a = -3*f + 15417, -24*f + 20*f - 3*a = -20550. What is the hundreds digit of f?
1
Let q(k) = 170*k - 478. Let d = -624 - -632. What is the tens digit of q(d)?
8
Let a(b) = 226*b**2 - 5*b + 3. Let p be a(1). Suppose 33*f + p = 40*f. What is the units digit of f?
2
Suppose 3*p - 7*p - 5*v - 76 = 0, 50 = -3*p - 2*v. What is the hundreds digit of ((-292)/p)/(10/140)?
2
Let d be ((-1796)/(-9))/(110/495). Let r = 41 + d. What is the units digit of r?
9
Let k(u) = 120*u**2 - 573*u - 5. What is the thousands digit of k(-6)?
7
Suppose 0 = -s + 1, 3081 = p + p - 3*s. What is the hundreds digit of p?
5
Let k(p) = 979*p**3 + 3*p**2 - 17*p + 15. What is the tens digit of k(2)?
2
Let n(h) = -h**3 + 8*h**2 - 3*h - 3. Let k(s) = s. Let d(j) = 2*k(j) + n(j). Suppose 0*i = i - 5. What is the tens digit of d(i)?
6
Suppose -j = -7*j - 108. Let q be 2/2 + j + -19 + 21. Let h = q - -98. What is the tens digit of h?
8
Let k(j) = -7*j + 125. Suppose -32*p = 76 - 556. What is the tens digit of k(p)?
2
Suppose -18*c = -15*c + 6. Let d be (12/(-8)*c)/1. Suppose -48 = -2*s - a + 103, -d*a + 161 = 2*s. What is the tens digit of s?
7
Suppose 8*r = 11*r - q - 29331, 4*r + 5*q = 39146. What is the tens digit of r?
7
Suppose -12 = -9*z + 5*z. Suppose -893 = -z*t + 1378. What is the hundreds digit of t?
7
What is the units digit of 28/462*-11*-9669?
6
Let n(z) = -45982*z + 153. What is the ten thousands digit of n(-2)?
9
Let r be (3/2)/((-1)/58). Suppose 5*g + 0*i + i + 929 = 0, g + 5*i = -181. Let n = r - g. What is the units digit of n?
9
Let v(h) = 619*h + 710. Let d(t) = 155*t + 178. Let p(u) = -9*d(u) + 2*v(u). What is the units digit of p(-6)?
0
Let t = 50632 - -23886. What is the hundreds digit of t?
5
Let t be (2 - 1)/((-17)/(-1513)). Let r be (-3)/(-4 - (-357)/t). What is the tens digit of (-5)/10 + r/(-6)?
4
Let d = 72591 - 42968. What is the hundreds digit of d?
6
Let k(m) = -7*m**3 + 3*m**2 + 5*m + 13. Let h(w) = -51*w - 6. Let l be h(0). What is the tens digit of k(l)?
0
Let s(z) be the second derivative of -z**5/20 + z**4/6 - 8*z**3/3 - 27*z**2 + 2*z - 80. What is the tens digit of s(-6)?
3
Suppose -462*t + 465*t = 9. Suppose -1098 = -2*g - 4*u, t*u - 549 = 4*g - 5*g. What is the tens digit of g?
4
Suppose -2*i + 231 = 31*i. What is the units digit of 12/14*i - -464?
0
Let k(l) be the first derivative of -114*l**2 + 7*l + 30. Let b(f) = 2*f**2 + 11*f + 4. Let p be b(-5). What is the hundreds digit of k(p)?
2
Let k(u) = 43*u + 4307. What is the units digit of k(-7)?
6
Suppose 35 = 5*q - 3*i, i = 2*q - q - 5. Let c(u) = 11*u**2 + 16 - 13 - 9*u - u**3 - 6. What is the units digit of c(q)?
7
Let x(k) = k**3 + 3*k**2 - 3*k + 4. Let c be x(-3). Suppose -15 = 10*b - c*b. Suppose 0 = -a + b*a - 52. What is the tens digit of a?
1
Let m(o) = 276*o + 5541. What is the ten thousands digit of m(101)?
3
Let i(w) = -33*w + 15. Suppose 8 = 13*v - 14*v. Let q be i(v). Let l = -167 + q. What is the hundreds digit of l?
1
Suppose -5*m - 228 = -7*m. Suppose 356 - m = p. What is the tens digit of p?
4
Let b(d) = 447*d - 1725. What
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {i: 1, x: 3, c: 1, d: 3, k: 2}?
3/20
What is prob of picking 1 h and 2 c when three letters picked without replacement from cecxefffxxehfhhph?
1/170
Calculate prob of picking 3 n when three letters picked without replacement from {k: 15, n: 3}.
1/816
Two letters picked without replacement from tptnpptnnntnpn. Give prob of picking 2 p.
6/91
What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 5, l: 3}?
15/28
Two letters picked without replacement from sxzxxzz. Give prob of picking 1 x and 1 s.
1/7
What is prob of picking 3 z and 1 v when four letters picked without replacement from {v: 9, z: 10}?
90/323
Calculate prob of picking 2 l and 1 z when three letters picked without replacement from {o: 1, l: 2, z: 11}.
11/364
Four letters picked without replacement from uuuuuuuuu. What is prob of picking 4 u?
1
Four letters picked without replacement from qltqggleqpglleggqpg. What is prob of picking 1 e, 1 t, 1 q, and 1 g?
4/323
What is prob of picking 1 w and 1 l when two letters picked without replacement from {w: 8, l: 2}?
16/45
Two letters picked without replacement from vvocb. Give prob of picking 1 c and 1 v.
1/5
Three letters picked without replacement from zzezsazznzbssbsb. What is prob of picking 1 s, 1 b, and 1 n?
3/140
Three letters picked without replacement from {n: 6, h: 7}. What is prob of picking 2 n and 1 h?
105/286
Three letters picked without replacement from {m: 4, d: 5, l: 8, r: 2}. What is prob of picking 2 r and 1 m?
4/969
Two letters picked without replacement from udduszsuezuz. What is prob of picking 2 s?
1/66
What is prob of picking 2 p when two letters picked without replacement from {p: 1, t: 11, m: 1}?
0
What is prob of picking 1 g and 1 s when two letters picked without replacement from {i: 1, e: 3, s: 3, g: 4}?
12/55
Four letters picked without replacement from {j: 1, h: 6, v: 10}. What is prob of picking 1 v and 3 h?
10/119
Two letters picked without replacement from {k: 7, j: 3, z: 3, o: 7}. What is prob of picking 1 j and 1 k?
21/190
What is prob of picking 1 k, 1 z, and 2 w when four letters picked without replacement from zzkwkzwzzkwkk?
15/143
Calculate prob of picking 2 v and 2 b when four letters picked without replacement from vbvbvvb.
18/35
What is prob of picking 2 v when two letters picked without replacement from vvccppvpvpv?
2/11
What is prob of picking 1 f and 1 g when two letters picked without replacement from fgfgfggfggg?
28/55
Three letters picked without replacement from eeeeeeeeeeeeepeeee. Give prob of picking 3 e.
5/6
Four letters picked without replacement from {p: 1, x: 4, h: 9}. What is prob of picking 1 x and 3 h?
48/143
Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {d: 5, k: 11}.
11/56
Two letters picked without replacement from mrrmrrm. What is prob of picking 1 m and 1 r?
4/7
What is prob of picking 2 i when two letters picked without replacement from iiiibibiiiibiibiiiii?
12/19
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {r: 8, u: 4, p: 1}.
16/39
Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {l: 2, o: 7}.
1/6
What is prob of picking 1 l and 1 p when two letters picked without replacement from {d: 1, z: 2, p: 1, l: 2, f: 1, j: 8}?
2/105
Two letters picked without replacement from {s: 2, h: 1, v: 2, l: 4, f: 1}. What is prob of picking 1 v and 1 l?
8/45
Calculate prob of picking 1 p and 1 s when two letters picked without replacement from sspspsss.
3/7
Three letters picked without replacement from {t: 2, v: 1, j: 1, l: 1}. Give prob of picking 1 v, 1 l, and 1 t.
1/5
Four letters picked without replacement from ynbnnonlynolloyolbb. Give prob of picking 3 n and 1 b.
5/646
Two letters picked without replacement from {q: 1, r: 2, s: 4, l: 3}. Give prob of picking 2 r.
1/45
Four letters picked without replacement from eejprup. What is prob of picking 1 r, 2 e, and 1 p?
2/35
Calculate prob of picking 1 k, 2 z, and 1 q when four letters picked without replacement from qqqwqqqqqkwzznxz.
6/455
What is prob of picking 2 g when two letters picked without replacement from tzxzgggzzzzzzz?
3/91
Three letters picked without replacement from grii. What is prob of picking 1 r and 2 i?
1/4
Two letters picked without replacement from {y: 3, l: 3, u: 2, q: 4, a: 2, r: 1}. What is prob of picking 1 a and 1 u?
4/105
Four letters picked without replacement from {t: 2, s: 3, v: 1, e: 4}. What is prob of picking 1 t, 1 v, and 2 s?
1/35
What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 1, o: 1, z: 1, v: 6}?
1/36
Two letters picked without replacement from {c: 3, f: 12}. What is prob of picking 1 c and 1 f?
12/35
Calculate prob of picking 1 j and 1 y when two letters picked without replacement from jtqoypj.
2/21
Calculate prob of picking 2 g and 2 h when four letters picked without replacement from hhghggh.
18/35
What is prob of picking 2 t when two letters picked without replacement from {p: 2, n: 3, t: 2, m: 1, h: 2, i: 4}?
1/91
What is prob of picking 2 o when two letters picked without replacement from {f: 1, i: 2, z: 1, o: 4, m: 2}?
2/15
What is prob of picking 4 u when four letters picked without replacement from {u: 5, e: 1, n: 1, c: 6, t: 2, y: 2}?
1/476
Three letters picked without replacement from {s: 4, c: 2, i: 2, z: 5}. What is prob of picking 1 s, 1 z, and 1 c?
20/143
Four letters picked without replacement from {e: 8, a: 1, y: 11}. What is prob of picking 1 y, 2 e, and 1 a?
308/4845
Three letters picked without replacement from {s: 1, h: 1, m: 4, f: 3, j: 4}. What is prob of picking 2 m and 1 h?
3/143
Three letters picked without replacement from bbbbwbbwwbwwb. Give prob of picking 3 b.
28/143
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {y: 1, h: 1, n: 1}.
1/3
Two letters picked without replacement from ttiiwttwww. What is prob of picking 2 w?
2/15
Two letters picked without replacement from {o: 8, j: 4, p: 5}. What is prob of picking 1 p and 1 j?
5/34
Four letters picked without replacement from yooooooyoyoo. Give prob of picking 3 y and 1 o.
1/55
Two letters picked without replacement from {l: 5, i: 2, h: 10, a: 3}. Give prob of picking 2 l.
1/19
Two letters picked without replacement from {g: 4, k: 6, z: 10}. What is prob of picking 1 g and 1 k?
12/95
Two letters picked without replacement from {y: 1, r: 4, c: 5, h: 5}. What is prob of picking 1 c and 1 r?
4/21
Two letters picked without replacement from {f: 1, z: 2, t: 1, n: 1, s: 2, l: 1}. Give prob of picking 1 l and 1 n.
1/28
Four letters picked without replacement from {a: 11, s: 1, v: 3}. What is prob of picking 2 a and 2 v?
11/91
Two letters picked without replacement from {b: 3, e: 3, z: 7, c: 4, x: 2}. Give prob of picking 1 b and 1 x.
2/57
Two letters picked without replacement from {v: 1, u: 2, s: 1, h: 1, f: 1, q: 2}. What is prob of picking 1 q and 1 f?
1/14
What is prob of picking 3 j when three letters picked without replacement from {n: 3, e: 2, j: 3}?
1/56
What is prob of picking 1 e and 1 m when two letters picked without replacement from emmccmemmwcmmwm?
16/105
Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {u: 4, k: 2, e: 1, v: 1, b: 1}.
1/84
Two letters picked without replacement from {u: 1, c: 2}. Give prob of picking 1 u and 1 c.
2/3
Calculate prob of picking 1 x and 1 y when two letters picked without replacement from nyxgyye.
1/7
What is prob of picking 1 f and 1 o when two letters picked without replacement from {y: 1, v: 1, c: 2, f: 1, o: 2}?
2/21
Four letters picked without replacement from {a: 7, h: 4, z: 3, m: 5}. What is prob of picking 2 a and 2 m?
35/646
What is prob of picking 1 p and 1 i when two letters picked without replacement from {i: 5, p: 2}?
10/21
Calculate prob of picking 1 g, 1 a, 1 j, and 1 w when four letters picked without replacement from wwgwaggwjjga.
64/495
Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {g: 7, v: 6, x: 2}.
3/13
What is prob of picking 1 e, 1 z, and 1 u when three letters picked without replacement from {u: 1, e: 2, z: 1, n: 2}?
1/10
Calculate prob
|
{
"pile_set_name": "DM Mathematics"
}
|
*2. Factor v(k).
5*k*(k - 1)**2*(3*k + 1)
Let s(r) be the second derivative of r**4/30 - 77*r**3/15 + 30*r**2 + 168*r + 2. Determine w so that s(w) = 0.
2, 75
Let c(z) = -380*z**2 + 1141*z + 1. Let s be c(3). Suppose -7/2*g**2 + s + 1/2*g**5 + 5*g - 11/2*g**3 - 1/2*g**4 = 0. Calculate g.
-2, -1, 1, 4
Let n(h) be the first derivative of -5*h**3/3 - 415*h**2/2 + 1290*h + 1821. Suppose n(i) = 0. What is i?
-86, 3
Let j be (6/28)/((-3)/(-4)). Let l = 1208/63 - 170/9. What is h in l*h**3 + 6/7*h**2 - 2/7*h**4 - 4/7 - j*h = 0?
-1, 1, 2
Let t = 14139 + -14133. Let n(w) be the third derivative of -1/30*w**5 + 11*w**2 + 0*w + 2/15*w**4 - 4/15*w**3 + 0 + 1/300*w**t. Factor n(q).
2*(q - 2)**2*(q - 1)/5
Let v(h) be the third derivative of 0*h + 41/32*h**4 + 0 - 28*h**2 - 4/5*h**5 - 5/4*h**3 - 1/20*h**7 + 1/448*h**8 + 23/80*h**6. Factor v(d).
3*(d - 10)*(d - 1)**4/4
Let k(d) be the second derivative of d**6/30 - 71*d**5/20 + 103*d**4/6 - 68*d**3/3 - 2*d + 620. Let k(h) = 0. Calculate h.
0, 1, 2, 68
Let s(r) be the first derivative of -r**3 + 24 - 31 - 21*r**2 - 21*r + 82 - 126*r. Suppose s(z) = 0. Calculate z.
-7
Let x(g) be the first derivative of 14/3*g**3 + 0*g + 25 + 12*g**2 + 1/2*g**4. Factor x(j).
2*j*(j + 3)*(j + 4)
Let s be (-81)/(-12)*(5/45 + (-7)/(-63)). Solve 2*j + 17/2*j**2 - s + 5*j**3 = 0.
-1, 3/10
Factor -32/5 + 4/5*n**3 + 8/5*n**2 - 16/5*n.
4*(n - 2)*(n + 2)**2/5
Let o(c) = 2*c**5 + c**4 - c**3 + c**2 - 8*c - 1. Let y(i) = -15*i**5 + 35*i**4 - 90*i**3 + 55*i**2 + 40*i + 5. Let a(n) = -5*o(n) - y(n). Factor a(g).
5*g**2*(g - 4)*(g - 3)*(g - 1)
Factor -16149*i - 1976 + 16290*i + 62 + 3*i**2.
3*(i - 11)*(i + 58)
Suppose -240*z - 149*z = -382 - 1174. Let l(a) be the first derivative of -a**5 + 15/2*a**2 - 15/4*a**z - 1 - 5/3*a**3 + 10*a. Factor l(p).
-5*(p - 1)*(p + 1)**2*(p + 2)
Let h(z) = 3*z**3 - 915*z**2 + 69349*z + 70217. Let s(l) = 4*l - 1. Let g(o) = -h(o) + 10*s(o). Determine y, given that g(y) = 0.
-1, 153
Let f(r) be the first derivative of 11*r**5/5 + 4*r**4 - 23*r**3/3 - 8*r**2 + 12*r + 873. Determine q, given that f(q) = 0.
-2, -1, 6/11, 1
Suppose 223*w + 36 = 217*w. Let p(l) = -l**2 + l + 2. Let h(x) = -5*x**5 - 45*x**4 - 70*x**3 + 6*x**2 - 6*x - 12. Let m(j) = w*p(j) - h(j). Factor m(g).
5*g**3*(g + 2)*(g + 7)
Suppose 423*p**2 - 288930*p**5 - 516*p + 6*p**4 - 135*p**3 + 3*p**2 + 216 + 288933*p**5 = 0. What is p?
-9, 1, 2
Let n(x) be the second derivative of -51*x**5/10 + 143*x**4/24 - 31*x**3/12 + x**2/2 + 3706*x. Suppose n(t) = 0. Calculate t.
2/17, 1/4, 1/3
What is z in -176*z**3 + 1945*z + 1140 + 1170 - 360*z**2 + 87*z**3 + 94*z**3 = 0?
-1, 7, 66
Suppose 285 - 279/2*z - 3/2*z**2 = 0. What is z?
-95, 2
Let p(h) be the first derivative of h**4 + 168*h**3 + 742*h**2 + 984*h - 1713. Factor p(j).
4*(j + 1)*(j + 2)*(j + 123)
Factor -47/2*o**2 - 2*o**3 + 3/2*o**4 - 22*o + 10.
(o - 5)*(o + 2)**2*(3*o - 1)/2
Let m(n) = 85*n**3 - 66*n**2 + 1077*n - 12. Let l(g) = 7*g**3 - g - 1. Let u(a) = -12*l(a) + m(a). Let u(q) = 0. Calculate q.
0, 33
Suppose -3*c - 1048 = 5*r + 874, 2548 = -4*c - 3*r. Let l = -632 - c. Let 1/3*t**2 + 5/3 - l*t = 0. Calculate t.
1, 5
Let s(p) be the third derivative of p**7/42 + 163*p**6/3 + 53138*p**5 + 86614940*p**4/3 + 28236470440*p**3/3 - 1588*p**2. Factor s(c).
5*(c + 326)**4
Let s(n) be the first derivative of n**3/6 + 187*n**2/4 - 189*n + 4456. Factor s(k).
(k - 2)*(k + 189)/2
Suppose -2*f - 4 + 8 = 0, r - 1 = f. Let m be r/15 + (-84)/(-30). Let 0*y**2 + 0 + 0*y**4 - 2/3*y**m + 2/3*y**5 + 0*y = 0. Calculate y.
-1, 0, 1
Let j(d) be the second derivative of 1/5*d**5 - 128*d**2 + 0 + 26*d + 4/3*d**4 - 32/3*d**3. Suppose j(y) = 0. Calculate y.
-4, 4
Let t = 2126 + -2126. Let y(g) = -149*g + 2. Let i be y(t). Factor 5/8*q - 5/8*q**3 - 3/8*q**i + 3/8.
-(q - 1)*(q + 1)*(5*q + 3)/8
Suppose -3*f = -5*n + 1, -8*f + 9*f + 13 = 8*n. Determine j, given that 0*j - 12*j**3 - 40/3*j**n + 4/3*j**4 + 0 = 0.
-1, 0, 10
Factor -32/5*c - 26/5*c**4 - 94/5*c**2 + 2/5*c**5 + 0 - 18*c**3.
2*c*(c - 16)*(c + 1)**3/5
Let n = -103135 - -412543/4. Factor 51/2*u - n*u**2 - 867/4.
-3*(u - 17)**2/4
Let p(i) be the first derivative of 32/27*i**6 - 169/27*i**3 + 112/15*i**5 + 11/9*i**4 - 5/9*i - 22 + 3*i**2. Factor p(k).
(k + 1)*(k + 5)*(4*k - 1)**3/9
Factor 3004/3*u - 124998*u**2 - 8/3 + 15813251/3*u**4 + 15435245/3*u**3.
(u + 1)*(251*u - 2)**3/3
Let g(l) be the second derivative of -l**6/540 + 7*l**5/36 + l**4 + 2*l**3 - 65*l. Let r(t) be the second derivative of g(t). Factor r(q).
-2*(q - 36)*(q + 1)/3
Suppose -14 = 4*k - 2*m, k - 471*m = -472*m + 13. Determine v so that 3/4*v + 27/8*v**4 + 0 + 15/8*v**5 - 27/8*v**k - 21/8*v**3 = 0.
-2, -1, 0, 1/5, 1
Let l(k) be the second derivative of -k**6/15 + 23*k**5/10 - 7*k**4 + 14*k + 152. Factor l(z).
-2*z**2*(z - 21)*(z - 2)
Let y = -29585 + 29588. Let c(z) be the second derivative of -1/3*z**6 - 2*z - 1/15*z**5 + 0*z**2 - 3/7*z**7 + 0 + 0*z**4 + 0*z**y. What is g in c(g) = 0?
-1/3, -2/9, 0
Let c(n) be the third derivative of 0*n**4 - 1/70*n**7 + 0*n**3 + 5/4*n**5 + 0*n - 191*n**2 + 0 + 3/5*n**6. Factor c(z).
-3*z**2*(z - 25)*(z + 1)
What is m in -49/4*m - 5 - 39/4*m**2 - 11/4*m**3 - 1/4*m**4 = 0?
-5, -4, -1
Let i = 4484/37345 + 15/7469. Let q = i + 6/77. Factor 0 - 7/5*g + q*g**2.
g*(g - 7)/5
Let -7232/17*v - 4824/17 + 6/17*v**2 = 0. What is v?
-2/3, 1206
Let k(z) = -7*z**2 + z + 138. Let m(d) = -7*d**2 + 2*d + 159. Let s(p) = -7*k(p) + 6*m(p). Find c such that s(c) = 0.
-12/7, 1
Let o(k) = -32*k**2 - 517*k - 1950. Let i be o(-6). Determine z so that 0*z**2 - 8/11*z**4 + 8/11*z**3 + i*z + 0 + 2/11*z**5 = 0.
0, 2
Let t(z) be the third derivative of z**7/42 - 75*z**6/4 + 50173*z**5/12 + 42375*z**4/2 + 127690*z**3/3 - 80*z**2 + 2. Factor t(w).
5*(w - 226)**2*(w + 1)**2
Solve -902*o + 904*o - 17*o**3 + 4 + 55*o**3 - 14*o**4 - 30*o**2 = 0 for o.
-2/7, 1
Let y = 226 + -223. Let z**y - z - 59*z**2 + 28*z**2 + 4 + 27*z**2 = 0. What is z?
-1, 1, 4
Let s(k) be the third derivative of 3*k**7/560 + 53*k**6/160 + 15*k**5/8 + 147*k**4/32 + 97*k**3/16 + k**2 + 471*k. Solve s(g) = 0.
-97/3, -1
Let c(p) be the second derivative of -p**4/10 + 371*p**3/5 + 30*p + 18. Suppose c(z) = 0. What is z?
0, 371
Let d(x) be the second derivative of 0*x**3 - 1/100*x**5 + 0*x**4 + 0 - 1/75*x**6 + 0*x**2 + 54*x - 1/210*x**7. Factor d(r).
-r**3*(r + 1)**2/5
Let s(i) be the third derivative of -5*i**8/84 - 2*i**7/15 + 11*i**6/10 + 19*i**5/15 - 14*i**4/3 - 8*i**3 + 2730*i**2. Suppose s(w) = 0. What is w?
-3, -1, -2/5, 1, 2
Factor -r**4 - 3802*r**2 + 28*r**3 + 3803*r**2 - 28*r + 0*r**3.
-r*(r - 28)*(r - 1)*(r + 1)
Let x = 3 + -5. Let s be -1*(3 - (-12)/(-8))*x. Determine m so that -4*m**s - m**5 - m**2 - m**2 + 0*m**5 + 9*m**4 - 5*m**4 + 5*m - 2 = 0.
-1, 1, 2
Let b = -1748 + 1751. Let r(m) be the second derivative of 0 + 11*m + 1/200*m**5 + 1/120*m**4 - 1/20*m**2 - 1/60*m**b. Find o such that r(o) = 0.
-1, 1
Let w(h) = 4*h**3 - 19*h**2 + 70*h + 102. Let p(q) = 9*q**3 - 36*q**2 + 137*q + 203. Let m(x) = -6*p(x) + 14*w(x). Factor m(j).
2*(j - 21)*(j - 5)*(j + 1)
Let r(k) be the second derivative of 3*k**7/70 - 19*k**6/10 - 32*k**5 - 163*k**4 - 304*k**3 - 1312*k**2/5 - 2*k + 1092. Let r(o) = 0. What is o?
-4, -2/3, 41
Factor 171*t - 2*t**4 + 50*t**3 - 2*t**4 + 2*t**4 - 512 - 336*t**2 + 479*t + 150*t.
-2*(t - 16)*(t - 4)**2*(t - 1)
Let m(h) be the first derivative of h**4/2 + 34*h**3 + 624*h**2 - 1352*h + 1173. Factor m(d).
2*(d - 1)*(d + 26)**2
Let l(v) = v**3 - v**2. Let n(o) = 4*o**2 + 9*o + 4*o**2 - 6*o**2 - 6*o**2 - 33*o + 8*o**3 + 8. Let a(h) = -2*l(h) + n(h). Factor a(c).
2*(c - 2)*(c + 2)*(3*c - 1)
Let b(q) = 1 + 3*q**2 - 4*q**2 + 10*q + 4. Let x(h) = -5*h**2 + 60*h + 30. Suppose 0 = m - 2*l - 3*l + 4, 0 = l - 2. Let u(w) = m*x(w) - 35*b(w). Factor u(v).
5*(v + 1)**2
Let z(o) be the first derivative of o**4/2 + 892*o**3 - 2679*o**2 + 2680*o - 4055. Factor z(f).
2*(f - 1)**2*(f + 1340)
Let n(s) = 3*s + 41. Let k be n(-12). Suppose k*l - 83 = -4*f, -2*l = -l + 5*f - 25. Factor 3*w**3 + w + 11 - l + 4 + 4*w**2.
w*(w + 1)*(3*w + 1)
Let d = 10406/3 - 541031/156. Let v = d - 1/52. Factor v*a + 0 - 1/4*a**3 + 1/4*a**2.
-a*(a - 2)*(a + 1)/4
Let a(m) be the first derivative of m**4/42 - 5*m**3/42 - 3*m**2/14 + 50*m - 275. Let o(r) b
|
{
"pile_set_name": "DM Mathematics"
}
|
762 a multiple of 14?
True
Is 122 a factor of 1183087?
False
Is 14 a factor of 19110896?
True
Is 32832 a multiple of 16?
True
Is 168700 a multiple of 20?
True
Is 22602396 a multiple of 1541?
False
Is 65727 a multiple of 155?
False
Is 3164802 a multiple of 599?
False
Does 9 divide 426609?
True
Is 1516 a factor of 263784?
True
Is 260738 a multiple of 7?
False
Is 48 a factor of 16202272?
False
Is 108210 a multiple of 6?
True
Is 3029724 a multiple of 54?
True
Does 90 divide 5580?
True
Does 15 divide 602530?
False
Does 19 divide 1656853?
False
Is 122107 a multiple of 51?
False
Does 20 divide 626075?
False
Is 8488592 a multiple of 193?
False
Is 19 a factor of 530398?
False
Is 9933 a multiple of 207?
False
Is 647424 a multiple of 12?
True
Is 339146 a multiple of 39?
False
Is 10117843 a multiple of 32?
False
Is 341 a factor of 190335?
False
Is 128753 a multiple of 16?
False
Does 3 divide 1901808?
True
Is 117267 a multiple of 89?
False
Is 28 a factor of 16688?
True
Does 40 divide 232826?
False
Is 197 a factor of 21148?
False
Does 127 divide 20814353?
False
Does 107 divide 123050?
True
Is 122455 a multiple of 24?
False
Is 185 a factor of 9675500?
True
Does 501 divide 99339?
False
Does 33 divide 578391?
True
Is 173469 a multiple of 12?
False
Is 1976444 a multiple of 175?
False
Does 268 divide 6979969?
False
Is 466740 a multiple of 103?
False
Is 403309 a multiple of 55?
False
Is 20 a factor of 4353801?
False
Is 5 a factor of 15450?
True
Is 457620 a multiple of 3?
True
Is 43269 a multiple of 321?
False
Does 146 divide 2213214?
True
Is 157 a factor of 2414660?
True
Is 96119 a multiple of 158?
False
Does 19 divide 15512486?
False
Is 92800 a multiple of 43?
False
Does 538 divide 13406459?
False
Is 3171124 a multiple of 239?
False
Is 202917 a multiple of 360?
False
Does 24 divide 33840?
True
Is 36 a factor of 409788?
True
Is 100485 a multiple of 33?
True
Is 2 a factor of 19106?
True
Is 85091 a multiple of 11?
False
Is 1597895 a multiple of 8?
False
Is 156560 a multiple of 8?
True
Is 92166 a multiple of 11?
False
Is 5962186 a multiple of 27?
False
Is 5 a factor of 14700?
True
Is 14 a factor of 1265645?
False
Is 168362 a multiple of 461?
False
Does 605 divide 862846?
False
Is 744035 a multiple of 67?
True
Is 6 a factor of 896040?
True
Is 23 a factor of 557934?
True
Is 132400 a multiple of 50?
True
Does 44 divide 28187?
False
Is 18 a factor of 846090?
True
Is 3533730 a multiple of 10?
True
Is 1410759 a multiple of 343?
True
Is 1342 a factor of 2446053?
False
Is 11 a factor of 27918?
True
Is 130147 a multiple of 341?
False
Is 2123821 a multiple of 9?
False
Is 6 a factor of 1362678?
True
Is 2356539 a multiple of 53?
True
Does 227 divide 1152891?
False
Is 158540 a multiple of 49?
False
Is 103 a factor of 281396?
True
Is 560 a factor of 1002771?
False
Does 29 divide 2024695?
False
Is 19 a factor of 5782878?
True
Does 27 divide 34468?
False
Does 176 divide 186246?
False
Is 27 a factor of 9063522?
True
Is 23 a factor of 8664813?
True
Is 38 a factor of 8682?
False
Is 11214996 a multiple of 116?
True
Is 16 a factor of 538466?
False
Is 13 a factor of 544926?
False
Is 1122662 a multiple of 85?
False
Is 103 a factor of 57989?
True
Is 10 a factor of 2753257?
False
Is 5701952 a multiple of 11?
False
Does 17 divide 1361498?
False
Does 410 divide 1999160?
True
Is 1123200 a multiple of 117?
True
Is 424 a factor of 249142?
False
Does 121 divide 1023436?
False
Is 240 a factor of 5611953?
False
Is 2965483 a multiple of 12?
False
Is 437127 a multiple of 5?
False
Is 4548615 a multiple of 71?
True
Is 21 a factor of 740271?
True
Does 29 divide 2671039?
False
Is 8409 a multiple of 28?
False
Does 154 divide 31059?
False
Does 131 divide 1481313?
False
Is 10 a factor of 156443?
False
Does 158 divide 977533?
False
Does 10 divide 1840417?
False
Is 60 a factor of 142020?
True
Is 7 a factor of 45024?
True
Is 1192325 a multiple of 32?
False
Does 483 divide 4845939?
True
Is 7932 a multiple of 6?
True
Is 3143378 a multiple of 28?
False
Is 7786 a multiple of 458?
True
Is 770700 a multiple of 20?
True
Does 376 divide 942256?
True
Is 7623567 a multiple of 122?
False
Is 42636 a multiple of 6?
True
Is 23000 a multiple of 7?
False
Is 181 a factor of 25045963?
False
Is 238 a factor of 848716?
False
Does 129 divide 1100616?
False
Is 7 a factor of 38067?
False
Is 5585 a multiple of 2?
False
Does 15 divide 4155?
True
Is 337566 a multiple of 127?
True
Is 298944 a multiple of 14?
False
Is 8865472 a multiple of 28?
True
Does 6 divide 970890?
True
Is 245368 a multiple of 188?
False
Does 84 divide 30681336?
True
Is 37 a factor of 20989545?
True
Is 197 a factor of 132809?
False
Is 814187 a multiple of 63?
False
Does 4 divide 167828?
True
Is 15 a factor of 651075?
True
Is 11 a factor of 1248588?
True
Does 159 divide 5917828?
False
Does 99 divide 8144829?
True
Does 370 divide 1057687?
False
Is 924839 even?
False
Does 9 divide 1530528?
False
Does 66 divide 363990?
True
Is 102 a factor of 5362650?
True
Does 7 divide 62167?
True
Is 17 a factor of 489923?
True
Is 25 a factor of 4589400?
True
Does 18 divide 44370?
True
Is 478 a factor of 736120?
True
Is 2921611 a multiple of 19?
True
Is 118944 a multiple of 21?
True
Does 78 divide 7866200?
False
Is 708132 a multiple of 8?
False
Does 2 divide 471929?
False
Does 11 divide 805432?
False
Is 45 a factor of 766305?
True
Is 216 a factor of 400743?
False
Is 38 a factor of 125979?
False
Does 41 divide 1954675?
True
Is 2241765 a multiple of 34?
False
Is 18 a factor of 242280?
True
Is 220901 a multiple of 44?
False
Is 13 a factor of 308326?
False
Is 120 a factor of 153960?
True
Does 164 divide 6683164?
True
Is 402053 a multiple of 327?
False
Does 436 divide 282964?
True
Is 144380 a multiple of 11?
False
Is 54096 a multiple of 16?
True
Is 322952 a multiple of 7?
True
Does 9 divide 12654463?
False
Is 675335 a multiple of 237?
False
Is 2221350 a multiple of 251?
True
Is 174030 a multiple of 10?
True
Does 203 divide 58974?
False
Is 124235 a multiple of 6?
False
Does 9 divide 214467?
False
Is 429022 a multiple of 22?
True
Does 354 divide 131615?
False
Is 133 a factor of 4758892?
False
Is 403541 a multiple of 19?
True
Is 634604 a multiple of 49?
False
Is 7884 a multiple of 4?
True
Does 15 divide 4930072?
False
Is 27 a factor of 9315?
True
Does 498 divide 2699658?
True
Is 2276750 a multiple of 25?
True
Is 2098512 a multiple of 208?
True
Does 30 divide 10867056?
False
Is 590 a factor of 6397486?
False
Does 106 divide 2145864?
True
Does 59 divide 526162?
True
Does 49 divide 139599?
False
Does 55 divide 1083500?
True
Is 6900 a multiple of 25?
True
Does 31 divide 22497289?
True
Does 42 divide 1098174?
True
Does 15 divide 110070?
True
Is 126 a factor of 184129?
False
Is 255063 a multiple of 60?
False
Does 97 divide 1486525?
True
Is 394005 a multiple of 151?
False
Is 667080 a multiple of 680?
True
Is 915242 a multiple of 623?
False
Is 591808 a multiple of 16?
True
Is 212848 a multiple of 53?
True
Does 153 divide 1422479?
False
Is 462042 a multiple of 14?
True
Does 17 divide 363868?
True
Is 456 a factor of 719112?
True
Is 151009 a multiple of 14?
False
Is 2092800 a multiple of 400?
True
Is 927792 a multiple of 204?
True
Does 158 divide 84056?
True
Does 24 divide 184677?
False
Does 6 divide 1193192?
False
Does 19 divide 760?
True
Does 32 divide 1194848?
True
Is 152 a factor of 171043?
False
Does 9 divide 1017459?
True
Does 46 divide 282000?
False
Is 4 a factor of 32288?
True
Is 538 a factor of 672634?
False
Does 897 divide 8413600?
False
Does 81 divide 3929310?
True
Is 6003 a multiple of 9?
True
Is 17 a factor of 2521951?
False
Does 4 divide 67026?
False
Is 593573 a multiple of 3?
False
Is 315 a factor of 13561380?
True
Does 669 divide 7848039?
True
Is 1084 a factor of 1271987?
False
Is 2980755 a multiple of 45?
True
Is 30274 a multiple of 137?
False
Does 25 divide 1469081?
False
Does 226 divide 111792?
False
Is 15658520 a multiple of 1880?
True
Is 61690 even?
True
Does 136 divide 12351510?
False
Is 61 a factor of 613198?
False
Is 11 a factor of 809873?
False
Does 119 divide 80094?
False
Is 11707354 a multiple of 23?
False
Is 5450443 a multiple of 54?
False
Is 147 a factor of 3046131?
False
Is 4442882 a multiple of 34?
True
Does 1234 divide 17078560?
True
Is 100 a factor of 16287?
False
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
nd the third derivative of -2016*m**4 - m + 2002*m**w + 110*m**2 + 7*m**2 wrt m.
-336*m
Let r = -46 + 122. Suppose -72*b + r*b = 12. Differentiate 139*q - 129*q - b - 1 with respect to q.
10
Let g(u) = -17*u - 89. Let w be g(-11). Find the third derivative of 606*d + 0*d**2 - 608*d - w*d**3 - 13*d**2 wrt d.
-588
Suppose -11*k - 3*w = -10*k - 19, 2*k = 3*w - 7. What is the derivative of -k*b**3 + 2*b**3 + 11*b**3 + 22*b**2 - 104 - 3*b**3 - 5*b**3 wrt b?
3*b**2 + 44*b
What is the second derivative of -9314 + 3*b**2 + 667*b**3 - 318*b + 9312 - 3*b**2 wrt b?
4002*b
Let o(a) be the second derivative of 823*a**5/5 + 591*a**2/2 - 120*a + 28. What is the derivative of o(d) wrt d?
9876*d**2
Suppose k + 3*m + 2 = 0, -6*m + 6 = 2*k - 5*m. Find the third derivative of -15*x**4 + 170*x**2 - 1096*x**5 + 1094*x**5 - 4*x**k - 52*x**2 wrt x.
-120*x**2 - 456*x
Let z(c) be the third derivative of 3033*c**5/20 + 2417*c**4/12 + 657*c**2. What is the second derivative of z(j) wrt j?
18198
Let s = -410 - -440. Find the first derivative of s*f - 25094 - 107*f + 25406 wrt f.
-77
Let m(d) be the second derivative of -51*d - 1 + 1/12*d**4 + 0*d**3 - 13/20*d**5 - 31/2*d**2. What is the first derivative of m(w) wrt w?
-39*w**2 + 2*w
Suppose -f - 2*f - 12 = 0, 4*d + 4*f = 24. What is the derivative of 27 + 1 - 36*p**4 + 22 + d wrt p?
-144*p**3
What is the third derivative of -624*v**6 - 6096*v**2 + 65*v**6 + 6281*v**2 wrt v?
-67080*v**3
Let z be ((-9)/((-9)/4))/2. What is the first derivative of 32*t**2 - 37*t**2 + 35*t**2 + 12*t**2 - 8 + z*t wrt t?
84*t + 2
Let z = 0 + 2. Suppose -2*i + 6*i + 12 = z*j, -4 = -j + i. Find the second derivative of -v + 4*v - 24*v**2 + 9*v**j + 5*v wrt v.
-30
Let p(t) be the third derivative of 79*t**8/16 - 971*t**4/24 - t**3/6 + 2023*t**2. Find the second derivative of p(w) wrt w.
33180*w**3
Suppose -2*h + 2192 = -124. Let b(k) = k**3 - 2*k**2 - 6*k - 19. Let u be b(5). Find the second derivative of -16*l - h + 1158 + u*l**4 wrt l.
312*l**2
Let p(c) = -c**4 + c**2 + c + 1. Let l(y) = 310*y**4 - 6*y**2 - 4*y - 1292. Let o(j) = l(j) + 4*p(j). What is the derivative of o(f) wrt f?
1224*f**3 - 4*f
Suppose -22*a + 2*a = -60. What is the second derivative of 5*x - 50*x**2 - 37*x - 4*x**2 - a*x wrt x?
-108
Let o(c) = 7050*c**3 + 4*c**2 - 5*c + 3. Let h(n) = 10575*n**3 + 6*n**2 - 7*n + 4. Let x(p) = 5*h(p) - 8*o(p). Find the third derivative of x(l) wrt l.
-21150
Suppose -2*g + 4287 = 3*k - 3857, 3*k - 8149 = -g. Find the first derivative of -n**2 - k*n + 1352*n + 1361*n - 23 wrt n.
-2*n - 5
What is the third derivative of 4 - 18*n**4 + 1 + 29507*n**2 - 69*n**3 - 29520*n**2 wrt n?
-432*n - 414
Find the second derivative of 3*x**5 + 223867*x**2 - 618 + 10*x**5 - x - 470 - 223850*x**2 wrt x.
260*x**3 + 34
Let u(s) = -2*s - 1. Let p(r) = -668*r + 418. Let t(h) = -p(h) + 8*u(h). What is the derivative of t(q) wrt q?
652
Find the second derivative of 7080*b**4 - 17213040*b**3 + 4347*b + 17213040*b**3 wrt b.
84960*b**2
Suppose 0 = 4*p - 3*p + 23. Let b = p + 26. Find the second derivative of -7*k**3 - 13*k**b + 9*k + 6*k wrt k.
-120*k
Suppose 10*b = -2 + 42. What is the second derivative of 111*q**3 - 111*q**3 + 1 - q**b + 0*q**4 + 3*q**5 - 34*q wrt q?
60*q**3 - 12*q**2
What is the third derivative of -481058 + 846*q**2 + 481058 + 26*q**5 - 8*q**6 wrt q?
-960*q**3 + 1560*q**2
Let a(m) = 968*m**3 - 53*m**2 + 18*m + 15. Let k(o) = -483*o**3 + 26*o**2 - 8*o - 8. Let y(v) = -4*a(v) - 9*k(v). What is the third derivative of y(p) wrt p?
2850
What is the third derivative of -1118*b**6 + 143*b**2 - 100*b**3 + 100*b**3 - 2*b**4 + 393*b**2 - 403*b**6 + 3*b**5 wrt b?
-182520*b**3 + 180*b**2 - 48*b
Let n(a) = a**2 - 2. Let b(s) = -s + 6. Let i be b(8). Let z be n(i). What is the third derivative of -5*g**2 + 2*g**4 - 3*g**4 - 14*g**z - 12*g**4 wrt g?
-312*g
Let l(q) be the third derivative of -q**7/105 - 433*q**6/60 - 37*q**5/6 + 2*q**3/3 + 1892*q**2 - 1. What is the third derivative of l(m) wrt m?
-48*m - 5196
Differentiate 87*t**2 - 158*t**3 - 2055 - 259*t**2 + 85*t**2 + 87*t**2 with respect to t.
-474*t**2
Let k(j) = -9*j + 83. Let d be k(9). What is the third derivative of -2*x**6 + 3*x**6 + 22*x**d - 80*x**2 + 5*x**6 wrt x?
720*x**3
Let m(h) = 608*h**4 - 5*h**3 - 5*h + 1189. Let b(w) = -606*w**4 + 6*w**3 + 6*w - 1188. Let p(n) = -5*b(n) - 6*m(n). What is the first derivative of p(a) wrt a?
-2472*a**3
Let l(j) be the second derivative of 4*j**6/15 + 113*j**4/6 - 735*j**3/2 + 3517*j. Find the second derivative of l(v) wrt v.
96*v**2 + 452
Differentiate -91*u**2 + 1511*u**2 + 3126*u**2 - 539 - 409 - 684 with respect to u.
9092*u
Let c(p) be the second derivative of -1093*p**4/6 + 2619*p**2/2 - 10*p + 140. Differentiate c(g) with respect to g.
-4372*g
Let r(g) be the third derivative of -3/4*g**4 - 60*g**2 + 0*g + 0*g**3 - 1/60*g**5 - 7/4*g**6 + 0. What is the third derivative of r(j) wrt j?
-1260
Let h(k) = 234*k**3 - 39*k**2 + 24*k - 7. Let q(l) = 6*l. Let x(t) = -h(t) + 4*q(t). What is the third derivative of x(m) wrt m?
-1404
Let o(y) be the first derivative of y**6/15 - 5*y**3/6 - 5*y**2 - 41*y - 25. Let q(n) be the first derivative of o(n). Find the first derivative of q(s) wrt s.
8*s**3 - 5
Let i(w) be the second derivative of 3/2*w**2 + 0 - 15/4*w**4 - 203*w - 14/3*w**3. Find the second derivative of i(y) wrt y.
-90
Let k(r) be the third derivative of -2551*r**5/60 + 149*r**3/2 + 467*r**2 - 3*r. Differentiate k(m) with respect to m.
-5102*m
Let u(s) = 5322*s**3 + 56*s**2 + 2115*s. Let l(y) = 1774*y**3 + 21*y**2 + 705*y. Let h(z) = 8*l(z) - 3*u(z). What is the second derivative of h(n) wrt n?
-10644*n
Let n(b) be the third derivative of 0*b - 6*b**2 - 149/24*b**4 + 179/6*b**3 + 10. Differentiate n(k) wrt k.
-149
Differentiate 6*y**3 + 106*y - 97079 + 98462 - 7*y**3 with respect to y.
-3*y**2 + 106
Let x(v) be the first derivative of -511*v**2/2 + 1164*v + 207. What is the first derivative of x(z) wrt z?
-511
Let p(m) = m**4 + 3*m**3 + m**2 - 1. Let f(x) = 2460*x**4 - 3*x**3 - x**2 - 2*x + 475. Let j(h) = f(h) + p(h). What is the second derivative of j(o) wrt o?
29532*o**2
Let i(c) be the second derivative of -1227*c**6/10 + c**4/3 + c**3/6 - 77*c**2/2 - 2*c - 1686. Find the third derivative of i(y) wrt y.
-88344*y
Suppose -4*i + 17*m = 19*m - 4, 2*m = -2*i. Find the third derivative of 29*k**6 + 27*k**i + 3*k**6 - 2*k**4 + 235*k**2 + 2*k**4 wrt k.
3840*k**3
Let q = -14 - -14. Suppose q*w + 5*w - 15 = 0. Find the first derivative of 0*h - 14 + 0*h + 13*h**w wrt h.
39*h**2
Find the second derivative of 254*l**4 - 3457*l - 9447404 + 9447404 wrt l.
3048*l**2
Let p = -323 + 374. Differentiate 2*w**3 + p*w**2 - 66 - 189*w**2 - 214 - 27*w**2 + 33 wrt w.
6*w**2 - 330*w
Let c(d) be the second derivative of -d**6 + 0*d**4 - 14*d + 107/2*d**2 + 0*d**3 + 0*d**5 - 1. Find the first derivative of c(o) wrt o.
-120*o**3
Let p = -19135 - -19139. Let t(g) be the first derivative of -21/2*g**p + 17/2*g**2 + 0*g**3 - 47 + 0*g. What is the second derivative of t(u) wrt u?
-252*u
Let u(q) = -q**2 + 15*q - 50. Let b be u(6). Find the second derivative of -5 + b*d + 33*d**3 - 4*d - 35*d**3 - d - 3*d**2 wrt d.
-12*d - 6
Let r(q) be the first derivative of 0*q**2 + 58 - 3*q**3 + 0*q**4 + 6/5*q**5 - 20*q. Differentiate r(f) wrt f.
24*f**3 - 18*f
Let m = 164 + -68. Let y = m + -87. Find the second derivative of 27*p**5 + y*p - 674 - p + 674 wrt p.
540*p**3
Let h = 21 + -9. Suppose 0 = -8*b + h*b - 16. What is the second derivative of 9*l**4 - 16*l + 12*l**b + 20*l wrt l?
252*l**2
Suppose -5*m = -0*m - 5*p - 55405, 11085 = m - 3*p. What is the derivative of -11079*z + m*z + 19 + 17*z**2 wrt z?
34*z
Let b(v) be the third derivative of -311*v**7/30 - 2581*v**5/60 - 2782*v**2. What is the third derivative of b(w) wrt w?
-52248*w
Let f(l) be the first derivative of -55 - 109*l - 3/2*l**2 + 14/3*l**3. Differentiate f(o) wrt o.
28*o - 3
Let y(a) = 2548*a**2 - 1616*a - 80. Let v(s) = -s**2 - 2*s - 8. Let t(m) = -20*v(m) + 2*y(m). Find the second derivative of t(u) wrt u.
10232
Let u(a) = 5*a. Let v be u(-10). Let o = -38 - v. Differentiate -o*z - 3*z - 2*z + 26 with respect to z.
-17
Let h be (84/(-9))/((-3)/(-18)). Let o = h - -77. Find the first derivative of 32*r - 11 - o + 54 wrt r.
32
|
{
"pile_set_name": "DM Mathematics"
}
|
ve z.
-14
Express 12*v + 7*v - 5*v in the form k*v + s and give k.
14
Rearrange (2 - 2 + 1)*(-9*l**3 - 5 + 5) + 0*l**3 + l**3 + 0*l**3 - 4*l**3 + 3*l**3 + 3*l**3 to s*l**2 + x*l + p + o*l**3 and give o.
-6
Rearrange 12*l + 1 + 11*l**2 - 17*l + 0 + 3*l to y*l + i + r*l**2 and give i.
1
Express -8 - n + 17 - 2*n**2 - 9 as z + u*n + f*n**2 and give f.
-2
Express 2*j**2 - 6*j**2 - 4*j**2 + 3*j**2 in the form t + f*j + g*j**2 and give g.
-5
Express -590 + 30*p + 590 in the form z + j*p and give j.
30
Rearrange -3*g**2 + 6*g**2 - 2*g**2 + (0 + 0 + g)*(3*g - 4*g + 2*g) + (-2*g**2 - 1 + 1)*(1 + 0 + 4)*(-1 - 1 + 0) to j + a*g**2 + h*g and give a.
22
Rearrange -10*n**2 - 2*n + 111*n**3 - 111*n**3 + 3*n**4 + 1 to the form y*n**4 + o*n**2 + c*n**3 + u + p*n and give o.
-10
Express -2*o**2 + 2 + o**4 - 4*o + 5*o - o**3 - o as j*o**4 + z + b*o + u*o**3 + h*o**2 and give h.
-2
Rearrange (-1 - 5 + 5)*(-i + 3*i + 0*i) - i - i + 3*i - 5 to the form a + t*i and give t.
-1
Express (-4*t + t**2 + 0*t**2 - 5*t)*(2 - 6 + 5) in the form a*t**2 + d*t + b and give d.
-9
Express -2*z + 4*z + 13 + 9 - 18 as y*z + s and give s.
4
Rearrange (2*v - 2*v - 2*v**2)*(5*v + 5 - 6 - 2*v) to the form y*v**3 + n*v + z*v**2 + q and give y.
-6
Express (-2 - 3 + 4)*(-2 + w + 2) + 75*w + 14*w - 24*w + 2 - 2 - 2*w as a*w + t and give a.
62
Express -4*m - 2*m**2 + 5*m**2 + 3*m + 2*m - 2*m**3 as g*m + u*m**2 + k*m**3 + s and give u.
3
Express 25 - 9*m - 11 - 14 in the form o*m + z and give o.
-9
Rearrange z - 2*z - 5*z**2 - 47*z**3 + 49*z**3 + 2*z to the form p + m*z**2 + w*z**3 + i*z and give w.
2
Rearrange -2*i**3 + 3*i - 6*i**4 + 1 - 3 + 2*i**4 to the form f*i**4 + m*i**2 + s + y*i**3 + r*i and give y.
-2
Express 2*r**4 - 4*r**2 - 6 - 3*r**4 + 3 as a*r**2 + u + t*r**4 + s*r + d*r**3 and give a.
-4
Rearrange (0 - 2 + 3)*(-38*g**4 - 56*g**4 + 16*g**4) to k*g**3 + v + u*g**2 + d*g + o*g**4 and give o.
-78
Rearrange -3*x + 15*x**3 - 8*x**2 + 15*x**2 - 2 - 9*x**2 to the form s*x**3 + b*x + j + f*x**2 and give f.
-2
Rearrange -1 - 3*z + 2*z**4 + 4*z + 61*z**3 - 58*z**3 + z to d*z**3 + x*z**4 + g*z + a*z**2 + f and give f.
-1
Express o**3 - 2 - 3*o**3 - 2*o + 5*o**3 - 6*o**3 in the form n*o**3 + u*o + h*o**2 + s and give u.
-2
Express -g**2 - 71*g**3 - 2*g**4 + 1 + 71*g**3 as d + q*g + a*g**2 + k*g**4 + x*g**3 and give k.
-2
Express -1 - 25*n - 1 - 22*n + 9*n as a + y*n and give a.
-2
Express (8*t**2 + 4*t**3 - 8*t**2)*(-1 + 2 + 0)*(3*t - 3*t + t) as w*t**4 + q*t + b*t**3 + u*t**2 + k and give w.
4
Express 0*u**2 + 14*u**2 + 3*u - 3*u in the form h + o*u + r*u**2 and give r.
14
Rearrange -14*j + 50*j + 5*j to the form d*j + g and give d.
41
Express (-4*q + q + 5*q)*(3 - 29 + 4 + (1 - 2 + 0)*(1 - 4 + 5)) in the form z*q + y and give z.
-48
Rearrange l**3 - 1 + 2*l + 3*l**2 + 2*l**2 + 3*l**4 - 6*l**2 to the form t*l + j + q*l**2 + v*l**4 + m*l**3 and give v.
3
Rearrange 3*r**2 - 6*r**2 + 2*r**2 + (-r + r + r - 1)*(2*r + 4*r + 6*r)*(6 - 2 + 1) to the form a + w*r + x*r**2 and give a.
0
Express -10*i - 1 - 3*i**3 - 4*i - 2*i**2 + 12*i as h*i**3 + w*i + c*i**2 + k and give k.
-1
Rearrange 26*j**2 - 27*j**2 - 5*j - 2*j to the form n*j + m*j**2 + g and give n.
-7
Express (-9924 + 9923 + 23*t**3 + 2*t**3)*(-1 + 6 - 3)*(-1 + 2 + 0) in the form z + j*t**2 + q*t**3 + s*t and give q.
50
Rearrange -5*j**2 + 1 - 7*j**2 - 2*j - 2*j**3 + 0*j**3 to the form o*j**2 + d*j + s + l*j**3 and give o.
-12
Express (-8 + 3 + 3)*(5*v + 4*v - v + 0*v + v - 2*v + (0 - 2 + 0)*(3*v - 2*v - 2*v) + 0*v + v + 2*v) as b*v + w and give b.
-24
Rearrange 2*r**2 + r**4 + 5*r**4 - 3*r**4 - 1 to v + j*r**4 + i*r**2 + z*r**3 + n*r and give j.
3
Rearrange 12*o**2 - 17*o**2 + 0*o - o**4 - o to k*o**3 + i*o + b*o**2 + c*o**4 + m and give i.
-1
Express (2*h - h - 4*h)*(-3 + 1 + 3) + (7 - 1 - 5)*(0*h - 5*h + 3*h) in the form c + f*h and give f.
-5
Express 20 + 0*d**2 + 2 + 3*d**2 - d**2 in the form t + r*d + z*d**2 and give t.
22
Express (-6*b + 6 - 6)*(-2 - 28 - 9) as x + d*b and give d.
234
Express -6*a - a**4 + 2 + 3*a + 3 + 2*a as s*a**3 + v*a**4 + x + y*a + w*a**2 and give x.
5
Rearrange 3*u**3 - u**3 - 2 - 2*u**4 + 8*u**2 - 7*u**2 + u - 2*u**2 to l*u**4 + j + s*u**3 + d*u**2 + m*u and give j.
-2
Express -2*x**3 - 24*x - 6*x - 11*x - 9*x in the form o*x**2 + w*x**3 + f*x + u and give w.
-2
Rearrange 3*z**4 + z**4 + 0*z**4 + 0*z**4 + 0*z**4 - 3*z**4 + (z + 4*z - 4*z)*(z - 2*z**3 - z) to k*z + w + x*z**4 + g*z**3 + l*z**2 and give x.
-1
Express -82*n**4 + 26*n**4 - 39*n**4 + (4*n + 2*n**2 - 4*n)*(0*n**2 - n**2 + 2*n**2) - 2 - 2*n**4 + 2 in the form w + a*n + b*n**3 + c*n**2 + v*n**4 and give v.
-95
Express -193*p**3 + 192*p**3 + 1 + p + 5*p**4 - 3*p**4 - 4*p**2 in the form t*p**4 + x*p + f*p**3 + z + r*p**2 and give r.
-4
Express (0*o - 5*o + o)*(-4 + 3 + 0 + 4 - 4 - 2 + (0 + 3 - 1)*(-5 + 0 + 3)) in the form l*o + c and give l.
28
Rearrange (0 - 3 + 4)*(-29*m - 230 - 229 + 465) to the form b*m + u and give b.
-29
Rearrange -i**3 + 13998*i**2 + 22 - 13998*i**2 to c*i**3 + z*i + l + w*i**2 and give l.
22
Express (-9 + 30 - 7 + z)*(1 - 1 + 2*z) as b + g*z**2 + i*z and give g.
2
Express -2 + 5*p**3 - 2*p**3 - 2*p**3 - p - 1 as y*p**3 + b*p + k*p**2 + f and give f.
-3
Express 26*u - 14*u - 10*u - 4 as w*u + f and give f.
-4
Express (1 - s + 11*s - 4*s)*(-10*s + 3*s - 2*s) in the form q + b*s + u*s**2 and give u.
-54
Express 2*m + 2*m**3 - 4*m - 6*m**3 + 0*m**3 as g + x*m + n*m**2 + b*m**3 and give x.
-2
Express (-6*i + 21 - 21)*(-5*i**3 + 6*i**3 - 3*i**3) in the form a*i**3 + j*i**4 + x*i**2 + g*i + b and give j.
12
Rearrange 4*z**2 - z + 5*z**2 + 4*z**3 - 4*z**2 - 1 - z**3 to q + k*z + l*z**2 + j*z**3 and give l.
5
Express (7*f + 3 - 3 + (-1 + 0 + 4)*(-5*f + 2*f + f))*(-4 + 4 + 2)*(-1 - 4*f + 1) as v + r*f + l*f**2 and give l.
-8
Express 7*f**2 + f**2 + 2*f**2 - 3*f**2 as j + d*f + k*f**2 and give k.
7
Express (-10*x + 3*x - 11*x)*(-2*x**2 + 2*x**2 - 2*x**2) as f*x**2 + d*x + z*x**3 + t and give z.
36
Express 2*i**2 - 2*i**3 - 8*i**3 - 3*i - 3*i + 7*i as g*i**3 + l + s*i**2 + v*i and give g.
-10
Rearrange (4*i - i - 5*i + 1)*(7 - 4 + 6)*(-2*i**3 - 2*i**3 + 2*i**3) to the form n + p*i**4 + h*i + j*i**3 + k*i**2 and give p.
36
Express 3*v**4 + 3*v**2 - 2*v - v**3 + 4*v - 6*v**2 + 3 + 0*v**3 in the form y*v + j*v**3 + a*v**4 + o*v**2 + f and give o.
-3
Rearrange (-2*o**2 + 1 - 1)*(o + 17*o - 2*o) + o**3 - 2*o + 2*o to g*o**3 + c + x*o**2 + v*o and give g.
-31
Express (12*s - 1 - 10*s + 4)*(1 - 2 + 0) as u + r*s and give r.
-2
Rearrange (4*c - 3*c - 3*c)*(-1 - 18 - 7) to p + r*c and give r.
52
Rearrange -2*l + l**4 + l**4 - 4*l**4 + 0*l + 2 to the form o*l**2 + b + u*l**4 + a*l**3 + k*l and give k.
-2
Express (-2*x**4 + 2*x**2 + x**4 + 2*x**4)*(-4 + 5 + 1) in the form g*x**2 + y*x**3 + o + t*x**4 + b*x and give t.
2
Rearrange 6*y**2 - 2*y**2 + 3*y**2 - 3 - 8*y**2 + 5*y to c*y + r + i*y**2 and give c.
5
Express 22*b - 1 + 3*b**2 - 18*b - 5*b**2 as u + r*b + j*b**2 and give j.
-2
Rearrange 30*g + 3 + 0 - 3 to x*g + o and give x.
30
Rearrange (-2 - 2*g + 2)*(g + 2 - 2)*(-4 - 3 + 0 + (-1 + 2 + 1)*(0 - 2 + 1)) to b + r*g**2 + d*g and give d.
0
Rearrange 8*c - 14*c + 13*c to j*c + v and give j.
7
Rearrange 4*f**3 - f**4 + 3 - 1 - 37*f + 36*f to the form j*f**4 + i*f**2 + l + r*f**3 + v*f and give v.
-1
Rearrange 0*t + 0*t - 23097*t**3 - 3 + 23095*t**3 to y*t**2 + l + q*t + s*t**3 and give l.
-3
Express -54*l + 54*l + 46*l**2 as f*l + u + s*l**2 and give f.
0
Rearrange 10*d - 6*d - 3*d + 29*d**2 to the form y + x*d**2 + m*d and give m.
1
Rearrange (4*f**2 - 3*f**2 + 3*f**2)*(10*f**2 + 10*f**2 + 13*f**2) + 2*f**4 - f**3 + f**3 to x*f**4 + b + o*f**2 + h*f + g*f**3 and give x.
134
Express (u + 3 + 5 - 5)*(-3 + 6 - 2) + 5 + 2*u - 5 in the form s + f*u and give s.
3
Rearrange (-181*j + 230*j - 124*j)*(-2 - 1 + 2) to the form s*j + v and give s.
75
Express -87 + z**4 + 184 + z**3 + 12*z - 95 as a*z**3 + b*z**2 + g + c*z + w*z**4 and give w.
1
Express 3*z**2 + 3*z**3 + 2 + 3*z**4 + z**3 - 2*z**3 - 4 as j + v*z**4 + f*z**3 + a*z**2 + p*z and give j.
-2
Express 33*x - 31*x + 5*x**3 + 4 + 2*x**4 - 3 as d*x**3 + s + y*x**4 + m*x + u*x**2 and give s.
1
Express -167 + u**2 + 169 + 6*u**2 in the form w*u**2 + k + j*u and give w.
7
Rearrange v - 1 - 7*v**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the r'th term of -22819, -22018, -21217, -20416, -19615?
801*r - 23620
What is the p'th term of 2028, 1732, 1476, 1272, 1132, 1068, 1092, 1216?
2*p**3 + 8*p**2 - 334*p + 2352
What is the x'th term of -19027597, -19027598, -19027599, -19027600, -19027601, -19027602?
-x - 19027596
What is the w'th term of -11914, -21372, -30830, -40288, -49746, -59204?
-9458*w - 2456
What is the g'th term of -5375, -10807, -16247, -21689, -27127, -32555?
g**3 - 10*g**2 - 5409*g + 43
What is the y'th term of -7430311, -7430321, -7430353, -7430419, -7430531, -7430701, -7430941, -7431263?
-2*y**3 + y**2 + y - 7430311
What is the g'th term of -49398, -49396, -49392, -49386, -49378?
g**2 - g - 49398
What is the w'th term of 1731, 1237, 671, 33, -677, -1459?
-36*w**2 - 386*w + 2153
What is the d'th term of -120921, -241822, -362721, -483618, -604513, -725406, -846297?
d**2 - 120904*d - 18
What is the k'th term of -11971, -12011, -12055, -12097, -12131?
k**3 - 8*k**2 - 23*k - 11941
What is the f'th term of -511213, -512145, -513065, -513967, -514845?
f**3 - 939*f - 510275
What is the m'th term of 78476504, 156953008, 235429512, 313906016, 392382520, 470859024?
78476504*m
What is the k'th term of 109, 179, 161, 31, -235, -661?
-4*k**3 - 20*k**2 + 158*k - 25
What is the m'th term of 10956768, 10956765, 10956760, 10956753, 10956744?
-m**2 + 10956769
What is the p'th term of -1045316, -1045329, -1045366, -1045439, -1045560, -1045741?
-2*p**3 + p - 1045315
What is the p'th term of -608563, -608630, -608695, -608758?
p**2 - 70*p - 608494
What is the l'th term of -999, -3946, -8899, -15876, -24895, -35974, -49131?
-3*l**3 - 985*l**2 + 29*l - 40
What is the m'th term of -9379, -18723, -28115, -37555, -47043, -56579?
-24*m**2 - 9272*m - 83
What is the a'th term of 1239, 3673, 7277, 12051, 17995?
585*a**2 + 679*a - 25
What is the w'th term of 177702, 177796, 178046, 178530, 179326?
13*w**3 + 3*w + 177686
What is the l'th term of -24043606, -48087215, -72130824, -96174433, -120218042, -144261651?
-24043609*l + 3
What is the l'th term of -483290, -483350, -483408, -483464, -483518, -483570, -483620?
l**2 - 63*l - 483228
What is the b'th term of -309, -1898, -6111, -14226, -27521, -47274, -74763?
-213*b**3 - 34*b**2 + 4*b - 66
What is the t'th term of -574336, -2297422, -5169240, -9189790, -14359072, -20677086, -28143832?
-574366*t**2 + 12*t + 18
What is the v'th term of 3530, 26326, 88196, 208676, 407302, 703610, 1117136?
3256*v**3 + v**2 + v + 272
What is the j'th term of -2162203, -2162206, -2162197, -2162170, -2162119, -2162038, -2161921, -2161762?
j**3 - 10*j - 2162194
What is the l'th term of 106188, 211624, 317060?
105436*l + 752
What is the a'th term of 5159, 20638, 46461, 82640, 129187, 186114?
2*a**3 + 5160*a**2 - 15*a + 12
What is the c'th term of -2284, 12948, 28180, 43412, 58644?
15232*c - 17516
What is the i'th term of -7177692, -14355382, -21533074, -28710768?
-i**2 - 7177687*i - 4
What is the f'th term of 7266401, 14532791, 21799181, 29065571, 36331961?
7266390*f + 11
What is the l'th term of -79759, -80138, -80517, -80896?
-379*l - 79380
What is the y'th term of -5305, -20098, -44417, -78256, -121609, -174470?
y**3 - 4769*y**2 - 493*y - 44
What is the o'th term of -36569050, -36569057, -36569064, -36569071?
-7*o - 36569043
What is the u'th term of -21, -83, -151, -189, -161?
6*u**3 - 39*u**2 + 13*u - 1
What is the i'th term of 49556, 99141, 148712, 198263, 247788?
-i**3 - i**2 + 49595*i - 37
What is the s'th term of -37564, -73925, -110284, -146641?
s**2 - 36364*s - 1201
What is the v'th term of 66, -973, -3240, -6735, -11458, -17409?
-614*v**2 + 803*v - 123
What is the x'th term of -12704, -49215, -110088, -195341, -304992, -439059, -597560, -780513?
-3*x**3 - 12163*x**2 - x - 537
What is the w'th term of 29951, 31896, 33831, 35750, 37647, 39516?
-w**3 + w**2 + 1949*w + 28002
What is the d'th term of 147402, 294870, 442338, 589806, 737274?
147468*d - 66
What is the d'th term of -200032, -400143, -600254, -800365, -1000476, -1200587?
-200111*d + 79
What is the n'th term of -762909, -3051489, -6865743, -12205671, -19071273, -27462549?
-762837*n**2 - 69*n - 3
What is the h'th term of 1325, 1413, 1531, 1691, 1905, 2185?
2*h**3 + 3*h**2 + 65*h + 1255
What is the o'th term of 4516076, 9032183, 13548290, 18064397?
4516107*o - 31
What is the a'th term of -842, -6141, -20464, -48323, -94230, -162697?
-752*a**3 - 35*a - 55
What is the n'th term of 240700, 239874, 239048?
-826*n + 241526
What is the m'th term of -9353076, -9353032, -9352916, -9352692, -9352324, -9351776, -9351012, -9349996?
6*m**3 + 2*m - 9353084
What is the b'th term of -2525, -5536, -8555, -11582, -14617, -17660?
-4*b**2 - 2999*b + 478
What is the h'th term of 1201, 2394, 3515, 4522, 5373, 6026, 6439?
-7*h**3 + 6*h**2 + 1224*h - 22
What is the q'th term of 60369, 60383, 60413, 60459, 60521, 60599, 60693?
8*q**2 - 10*q + 60371
What is the t'th term of 115296, 115245, 115190, 115131?
-2*t**2 - 45*t + 115343
What is the h'th term of 3817, 15539, 35163, 62689, 98117, 141447?
3951*h**2 - 131*h - 3
What is the v'th term of -263, -259, -235, -197, -151, -103, -59, -25?
-v**3 + 16*v**2 - 37*v - 241
What is the t'th term of -17, -133, -391, -839, -1525, -2497?
-8*t**3 - 23*t**2 + 9*t + 5
What is the p'th term of -580584, -1161174, -1741766, -2322360, -2902956?
-p**2 - 580587*p + 4
What is the r'th term of -100536, -100673, -100810?
-137*r - 100399
What is the i'th term of -4877, -37594, -126003, -297950, -581281?
-4641*i**3 - 230*i - 6
What is the c'th term of 1177, 1675, 2185, 2713, 3265, 3847?
c**3 + 491*c + 685
What is the l'th term of -252045228, -504090458, -756135688, -1008180918?
-252045230*l + 2
What is the n'th term of 19877, 19665, 19269, 18689?
-92*n**2 + 64*n + 19905
What is the w'th term of 24586562, 24586564, 24586566, 24586568?
2*w + 24586560
What is the h'th term of -1853, -3784, -5869, -8186, -10813?
-13*h**3 + h**2 - 1843*h + 2
What is the n'th term of -248910, -249017, -249124, -249231, -249338, -249445?
-107*n - 248803
What is the c'th term of 19412, 19260, 19076, 18860, 18612?
-16*c**2 - 104*c + 19532
What is the n'th term of -28039294, -56078593, -84117892?
-28039299*n + 5
What is the p'th term of 571, 467, 323, 139, -85, -349, -653?
-20*p**2 - 44*p + 635
What is the k'th term of -8000, -14233, -20466, -26699, -32932?
-6233*k - 1767
What is the k'th term of 51145, 51114, 51075, 51040, 51021, 51030, 51079, 51180?
2*k**3 - 16*k**2 + 3*k + 51156
What is the c'th term of -1309, 8106, 17521, 26936, 36351?
9415*c - 10724
What is the d'th term of -30208, -60290, -90252, -120100, -149840, -179478, -209020?
-d**3 + 66*d**2 - 30273*d
What is the b'th term of -703, -738, -745, -730, -699, -658, -613, -570?
-b**3 + 20*b**2 - 88*b - 634
What is the o'th term of -202590, -405853, -609106, -812343, -1015558?
o**3 - o**2 - 203267*o + 677
What is the p'th term of -612, -3110, -9896, -23118, -44924, -77462, -122880, -183326?
-358*p**3 + 4*p**2 - 4*p - 254
What is the m'th term of 3231004, 6462282, 9693560, 12924838, 16156116, 19387394?
3231278*m - 274
What is the r'th term of 19961, 19904, 19877, 19892, 19961, 20096, 20309, 20612?
2*r**3 + 3*r**2 - 80*r + 20036
What is the p'th term of -34, -159, -668, -1807, -3822, -6959, -11464, -17583?
-41*p**3 + 54*p**2 - 47
What is the s'th term of -658, -1423, -2204, -3001, -3814?
-8*s**2 - 741*s + 91
What is the h'th term of 1308137, 2616313, 3924489, 5232665, 6540841?
1308176*h - 39
What is the q'th term of 4651, 8727, 12229, 15151, 17487, 19231, 20377, 20919?
-q**3 - 281*q**2 + 4926*q + 7
What is the z'th term of -28152, -114426, -258224, -459552, -718416, -1034822, -1408776?
-z**3 - 28756*z**2 + z + 604
What is the g'th term of 10249, 39922, 89017, 157534, 245473?
9711*g**2 + 540*g - 2
What is the u'th term of -37750, -75637, -113610, -151669, -189814, -228045?
-43*u**2 - 37758*u + 51
What is the o'th term of -282, -874, -1762, -2946?
-148*o**2 - 148*o + 14
What is the l'th term of -466, -1035, -1604, -2173, -2742, -3311?
-569*l + 103
What is the q'th term of -3299124, -3299127, -3299130?
-3*q - 3299121
What is the y'th term of -104940, -104890, -104806, -104688, -104536?
17*y**2 - y - 104956
What is the w'th term of 19324819, 38649638, 57974457, 77299276?
|
{
"pile_set_name": "DM Mathematics"
}
|
0
What is the second derivative of 152*s**2 - 258*s?
304
Find the second derivative of -216*x**5 + 17*x - 7.
-4320*x**3
What is the second derivative of -k**3 - 26*k**2 - 13*k wrt k?
-6*k - 52
Differentiate -129*m**3 - 55.
-387*m**2
Find the second derivative of -724*j**2*r**2*u**2 + 5*j**2*r**2 + 17*j**2*u + 2*j*r - 12*u**2 - 5*u wrt r.
-1448*j**2*u**2 + 10*j**2
What is the third derivative of -2*f**4*m**3 + 14*f**4*m + 31*f**2*m**3 - 2*f**2*m - 1 wrt f?
-48*f*m**3 + 336*f*m
What is the third derivative of -a**5*n + 24*a**5 - 2*a**3*n - 118*a**2*n wrt a?
-60*a**2*n + 1440*a**2 - 12*n
What is the second derivative of 8867*h**3 - 119*h wrt h?
53202*h
Find the first derivative of -16*b**2 - 569.
-32*b
What is the second derivative of -264*i**3 + i**2 - i - 177?
-1584*i + 2
What is the third derivative of -555*n**6*o**2 - n**4*o**2 - 19*n**2*o**2 + 3*n*o wrt n?
-66600*n**3*o**2 - 24*n*o**2
Find the third derivative of g**3*t**4 + 10*g**3 - 2*g*t**2 - 361*t**4 - 4*t**2 wrt t.
24*g**3*t - 8664*t
What is the derivative of -190*l**4 - 529 wrt l?
-760*l**3
Find the second derivative of -134*o**2*t**3*u + 3*o**2*t**2*u - 2*o*t**3 + o - 110*u wrt o.
-268*t**3*u + 6*t**2*u
What is the third derivative of -152*f**3 - 6*f**2 - 2*f wrt f?
-912
What is the third derivative of -s**4 + 48*s**3 - 227*s**2?
-24*s + 288
Find the first derivative of g**4 - 32*g**2 - 324.
4*g**3 - 64*g
What is the third derivative of 681*k**3 - 264*k**2?
4086
Find the third derivative of 1366*a**3*t + 63*a**2*t - 2*a**2 - 4 wrt a.
8196*t
Find the second derivative of 18*l**4 - 3*l**3 - 154*l wrt l.
216*l**2 - 18*l
Differentiate 57*j**2 - 15*j + 18614 with respect to j.
114*j - 15
What is the derivative of 9*a**2*k**2 - a**2 + 6*a - 24*k**2 + 10*k - 5 wrt a?
18*a*k**2 - 2*a + 6
Find the third derivative of -73*v**6 - 3*v**4 - 185*v**2 wrt v.
-8760*v**3 - 72*v
Differentiate -84*c**2*z - c**2 - 3*c*z + c - 104*z with respect to c.
-168*c*z - 2*c - 3*z + 1
Find the second derivative of -642*a**2*i**4 + 5*a**2*i - 7*i - 2 wrt i.
-7704*a**2*i**2
Find the third derivative of 2*a**4*j + 67*a**4 - a**3*j + a**2*j + 135*a wrt a.
48*a*j + 1608*a - 6*j
Find the third derivative of -4*u**5 + 455*u**3 - 25911*u**2 wrt u.
-240*u**2 + 2730
What is the third derivative of 2389*b**3 - 157*b**2 - 5*b wrt b?
14334
Find the third derivative of 7*b**3*h*u**3 - 3*b**3*h*u**2 + 2*b**2*h**2*u**2 + 49*b*h**2*u**3 + 15*u**2 wrt u.
42*b**3*h + 294*b*h**2
What is the third derivative of 93*a**2*z**4 - 83*a**2 + a*z**2 - 2*z**6 wrt z?
2232*a**2*z - 240*z**3
What is the third derivative of -18*p*r**4 - 13*p + 18*r**4 + 36*r**2 wrt r?
-432*p*r + 432*r
Find the second derivative of 15900*l**2 + 18*l + 2.
31800
What is the second derivative of 2*w**3*x**3 + 2*w**3*x**2 + 4*w**3*x + 2*w**2*x - 9*w**2 - 96*x**3 wrt x?
12*w**3*x + 4*w**3 - 576*x
Find the second derivative of -8374*u**2*v*y + u*v - 17*u*y + 218*u wrt u.
-16748*v*y
Find the second derivative of 4*c**3*n**2*w + 2*c**3*n*t**3 - c**3*n*t**2*w + 4*c**3*n*t**2 + 2*c**3*n*w + 6*n**2*t**3 + n**2*w - t*w wrt n.
8*c**3*w + 12*t**3 + 2*w
Find the second derivative of 12*h**4 + h**3*i*u**2 + 5*h*i*u**2 + h*u**2 + h - 3*i*u**2 wrt h.
144*h**2 + 6*h*i*u**2
What is the third derivative of -2*g**3*o - 10*g**3 + 2*g**2*o + 37*g*o wrt g?
-12*o - 60
Find the second derivative of -i**3*l**2 - 18*i**3*l - 521*i*l**2 - i*l + 4 wrt l.
-2*i**3 - 1042*i
Find the second derivative of o**5 - 95*o**3*t**3 + 76*o*t**3 - o*t**2 wrt o.
20*o**3 - 570*o*t**3
Differentiate -203*f**2*h**2 - 2*f**2*h - 34*h**2 - 2*h wrt f.
-406*f*h**2 - 4*f*h
Find the third derivative of -2*c**2*h**4 + 3*c**2 - 359*c*h**4 - 4*c*h**3 + 2*c*h**2 + 2*c*h wrt h.
-48*c**2*h - 8616*c*h - 24*c
What is the second derivative of -2190*d**3 - 323*d + 2?
-13140*d
What is the derivative of a*k*n*r**2 - 5*a*k*n + 38*a*k*r**3 + 33*k*n + 2*k*r**2 + 36*n*r**3 + 2*n*r - n wrt a?
k*n*r**2 - 5*k*n + 38*k*r**3
Differentiate -553*z**2 + 718 wrt z.
-1106*z
Differentiate -3798*k**3*u + 160*k**3 - 10*k**2 with respect to u.
-3798*k**3
What is the second derivative of -10*b**4*n + 2*b**4 - 4*b**3*n + b*n - 5*b wrt b?
-120*b**2*n + 24*b**2 - 24*b*n
What is the second derivative of -149*g**3*r**3 - 21*g**3*r + g**2*r**3 - 820*g*r**3 + 3*g*r wrt g?
-894*g*r**3 - 126*g*r + 2*r**3
Find the third derivative of 266*s**4 - 2*s**3 + 1496*s**2.
6384*s - 12
Find the second derivative of 69*f**5*j + 6*f**3*j**2 + 5*f*j - 2*j**2 - 2*j wrt f.
1380*f**3*j + 36*f*j**2
Find the first derivative of -1814*n**4 + 1092 wrt n.
-7256*n**3
What is the first derivative of 15513*b**2 + 4561 wrt b?
31026*b
What is the third derivative of 19919*s**5 + s**2 - 2*s - 4951 wrt s?
1195140*s**2
What is the third derivative of h*m**3*r**3*x - h*m**3*r*x + 32*h*m**2*r**3 + 2*h*m*r**2*x - 2*m**3*r**3 + m**2 - 2*r**3*x wrt m?
6*h*r**3*x - 6*h*r*x - 12*r**3
What is the second derivative of -1146*m**2 - 985*m + 2 wrt m?
-2292
What is the third derivative of 217*f**4 + f**2 - 111*f wrt f?
5208*f
What is the first derivative of 83*i*y - 3*i + 1277*y wrt i?
83*y - 3
What is the third derivative of -42*d**3*s**3*x**2 + 2*d**3*s**3 + 10*d**3*s**2*x + d**3*x**2 + 2*d*x**2 wrt s?
-252*d**3*x**2 + 12*d**3
Find the third derivative of -5251*q**5 + 84*q**2 - 28*q - 2 wrt q.
-315060*q**2
Find the first derivative of -188*j*l**2 - 126*j*r + 2*j + 2*l**2*r + 2*l*r wrt r.
-126*j + 2*l**2 + 2*l
Find the second derivative of 268*n**5 + 2*n**3 - 227*n.
5360*n**3 + 12*n
Find the first derivative of -2*a*s**2*w + 93*a*w - 39*a + 2*s**2 - 11*s wrt w.
-2*a*s**2 + 93*a
Differentiate 163*q - 122.
163
Find the third derivative of 398*v**6 + 2*v**3 + 158*v**2 wrt v.
47760*v**3 + 12
What is the third derivative of 149*g**4 + g**3 - 2897*g**2 + 1 wrt g?
3576*g + 6
Find the third derivative of -k**3*s**3 - 38*k**3*s**2 - 3*k**2*p**3*s - k**2*p**2*s**2 + 10*p**3*s**3 wrt s.
-6*k**3 + 60*p**3
What is the second derivative of -168*p**2 + 125*p wrt p?
-336
What is the third derivative of -m**4*v*z - 20*m**3*v*z - 2*m**3*v - 2*m**2*v - 37*m**2*z wrt m?
-24*m*v*z - 120*v*z - 12*v
What is the first derivative of -49*m**4 - 54 wrt m?
-196*m**3
Find the third derivative of -5*k**3*s**3 - 18*k**3*s**2 - 2*k**3*s + 16*k**3 - 27*k**2*s**3 wrt s.
-30*k**3 - 162*k**2
Find the second derivative of -1632*b**2*k**2*x**2 - 40*b**2*k*x - 9*b**2*x - 2*b*x**2 + 3*k*x**2 + 3*k wrt k.
-3264*b**2*x**2
Find the second derivative of 27*p*q**2*s + p*s**2 - 2*p*s + 4*q**2*s**2 - q**2 + 105*q*s**2 + 4*s wrt q.
54*p*s + 8*s**2 - 2
Find the second derivative of -2*c*f**2*z**3 - 2*c*f - c*z + 626*f**4*z - 4*f*z**3 - 2*z**3 wrt f.
-4*c*z**3 + 7512*f**2*z
Find the first derivative of 10736*b + 4804 wrt b.
10736
Differentiate -190*s*w**4 - 2*s*w**2 - 80*s + 3*w**3 wrt w.
-760*s*w**3 - 4*s*w + 9*w**2
What is the third derivative of 207*g**4*m + g**3*m**2 + 4*g**3 + 8*g**2*m - 197*g*m**2 wrt g?
4968*g*m + 6*m**2 + 24
Find the second derivative of 1695*j**3 + 1130*j.
10170*j
Find the second derivative of 40*r**4 - 354*r.
480*r**2
Differentiate 18*s**3*x - s**3 - s**2*t*x - s*t*x - 977*s*t - 2*t*x wrt x.
18*s**3 - s**2*t - s*t - 2*t
Find the first derivative of 1101*j**2*n + 3500*j**2 wrt n.
1101*j**2
What is the third derivative of -420*g**5 - 210*g**2 - 2?
-25200*g**2
Find the third derivative of 1579*l**4 + 2*l**2 + 546.
37896*l
Find the second derivative of -b**3*g*u + 45*b**2*g**3 - 4*b**2*g*u**2 - 2*b*g**3 + 4*b*g*u**2 - 9*g*u**2 wrt b.
-6*b*g*u + 90*g**3 - 8*g*u**2
What is the first derivative of g*m + 4598*g + 238*m**3 - m wrt m?
g + 714*m**2 - 1
What is the first derivative of -5*k*p + 2*k - 401*p*y - 205*y wrt p?
-5*k - 401*y
What is the third derivative of g**4 + 5531*g**3 + 2*g**2 + 3667*g - 2?
24*g + 33186
What is the second derivative of -2237*g**3*i**3 + 2*g**3 - 101*i wrt i?
-13422*g**3*i
Find the third derivative of -11*u*v**6 - 15830*u*v**2 + 8*v**6 + v**3 wrt v.
-1320*u*v**3 + 960*v**3 + 6
Find the third derivative of a**4*f*x + a**4*x**3 + 709*a**3*f - 12*a**2*f*x**3 - a**2*f*x**2 + 2*a**2*x**3 - a**2*x + 11*f wrt a.
24*a*f*x + 24*a*x**3 + 4254*f
What is the second derivative of q*s**2 + 4352*q*s - 91*s**5 + s**3 wrt s?
2*q - 1820*s**3 + 6*s
What is the second derivative of -1086*m**2*r**2 - 4*m*r**2 + 2*m*r +
|
{
"pile_set_name": "DM Mathematics"
}
|
decreasing order.
5/2, k, -14/15
Suppose -f = 5*m - 45 - 30, 5*f = -5*m + 55. Suppose 2*x = -2*x - m. Suppose -20*p + 23 = 3. Put p, x, -3 in ascending order.
x, -3, p
Let f be (12 - (9 - 4)) + (-3)/1. Sort f, 3, 12.
3, f, 12
Suppose -3 - 7 = -5*b. Suppose 5*j = -m + 7, 9 - 2 = -3*j + 5*m. Let h be (-2)/(-12) - j/b. Put -3/5, 0, h in descending order.
0, h, -3/5
Let p be 15/(-40) + 0/1. Let d = -3.2 - 4.3. Let h = 8 + d. Put -3, h, p in increasing order.
-3, p, h
Suppose -3*d + 3*b = d + 1, -1 = b. Put d, 5, -4, -3 in decreasing order.
5, d, -3, -4
Let r = -13.4 + 12.9. Let j = 0.07 - -2.93. Sort -5/4, j, r in descending order.
j, r, -5/4
Let f = -0.7 - 1.3. Let w(o) = 2*o**3 - 5*o**2 - 4*o + 7. Let v be w(3). Put 2, f, 0, v in ascending order.
f, 0, 2, v
Let k(b) = -b + 7. Let j be k(8). Let f = j - 0. Let o(y) = 2*y - 1. Let l be o(f). Put -1, l, -4/5 in increasing order.
l, -1, -4/5
Suppose -3*i + 3*v = -3, -5 = -7*i + 5*i + v. Put 0, i, 12, 8 in decreasing order.
12, 8, i, 0
Suppose 0 = 2*a + 2*a + 4*m - 4, -8 = 2*m. Let c = a + -5. Put c, 4, -2 in descending order.
4, c, -2
Suppose 9 = -3*r - 10*t - 2*t, -4*t + 9 = -3*r. Put -2, r, 4, 77 in ascending order.
r, -2, 4, 77
Let x = 465 + -469. Sort -2, -1, x, 5.
x, -2, -1, 5
Let x be (-1)/((-7)/(-4)) + 1. Let l = 226.6 + -229.6. Sort 0.3, x, -0.3, l.
l, -0.3, 0.3, x
Suppose 0*c = 5*c + 3*j - 15, 25 = 5*j. Suppose -9 = 5*m - s, -5*m - 10*s = -5*s + 15. Sort -4, m, c, -5.
-5, -4, m, c
Let x be 0 + 1*(-4)/(-14). Let d = 32 + -32. Let h = 7 - 12. Sort x, h, d in descending order.
x, d, h
Let t = 44 - 42. Suppose 5*x = 0, 5*x = -0*f - t*f - 8. Let z = -4 + 6. Sort z, 4, f in decreasing order.
4, z, f
Let b = 132 + -127. Sort 6, -1, b, 4.
-1, 4, b, 6
Let u = 276.5 + -181. Let o = u - 96. Put 0, o, 28 in decreasing order.
28, 0, o
Let q = 26166 - 26171. Let j be (-3)/(2/((-8)/3)). Put -4, j, q, -3 in increasing order.
q, -4, -3, j
Let c be 5/(-9) + (-1)/(-3). Let d = -0.17 + -0.13. Suppose 0 = -9*p + 3*p + 48. Put c, p, d in ascending order.
d, c, p
Let i = -39 - -41. Let x be (-72)/32 + i/(6/9). Let l = -1 - 0. Sort l, x, -0.2 in increasing order.
l, -0.2, x
Suppose 0 = 5*j + 8 + 7. Let c = 3 + 0. Suppose -d - u - 6 = -2, -5*u - 6 = -2*d. Sort d, j, c.
j, d, c
Suppose 4*n - 4*r - 40 = 0, 0 = -n + 2*r + 14 + 1. Let k = 95 + -92. Sort -5, k, n, 2 in descending order.
n, k, 2, -5
Let a be (-35)/2 + 2/4. Let z(s) = s**2 - 58*s - 837. Let t be z(70). Put -5, t, 4, a in increasing order.
a, -5, t, 4
Let a be -8 + ((-125)/(-100))/((-1)/(-4)). Put -2, -4, a, 3 in descending order.
3, -2, a, -4
Let x be (2*1/120)/(6/(-944)). Let u = x - -12/5. Put 1, 0.8, u in decreasing order.
1, 0.8, u
Let c(y) = 7*y**2 + 0*y**3 + 3*y + 6*y + y**3 - 3*y. Let k be c(-5). Let m be (-1)/(16/k - 1). Put -4, m, 3 in decreasing order.
m, 3, -4
Let l = 12/47 + -248/235. Sort -0.02, 0.5, l, -1/4.
l, -1/4, -0.02, 0.5
Let g = -466 - -402. Put 4, 3, 5, g in decreasing order.
5, 4, 3, g
Let q(p) = 10*p**2 + 79*p - 5. Let r be q(-8). Sort -18, 0.3, r, -4 in descending order.
r, 0.3, -4, -18
Let p be ((264/40)/11)/3. Put -1, -1/17, p in descending order.
p, -1/17, -1
Let o be 8/2*(-65)/20. Let m(x) = -x**3 - 14*x**2 - 13*x + 2. Let q be m(o). Sort -3, q, -5 in decreasing order.
q, -3, -5
Let o be (2 - (-95)/(-40))*(-24)/(-54). Put 17, o, 1 in descending order.
17, 1, o
Let z = -96.9 - -93. Let w = -4.9 - z. Let u = 0.9 + -0.5. Sort w, u, -3/8 in descending order.
u, -3/8, w
Suppose -3*r + 15 = 2*r. Suppose 7*s - 5*l - 16 = 3*s, -2*s - l - 6 = 0. Sort r, 2, s in descending order.
r, 2, s
Let f = 1/107 - -209/535. Let h = 13 - 8. Put h, 13, f in descending order.
13, h, f
Suppose -3*c + 23 = -3*b + 2*c, -3*c = -2*b - 14. Let j(n) = 2*n - 9. Let h be ((-7)/(-3))/((-2)/(-6)). Let x be j(h). Put 2, x, b in descending order.
x, 2, b
Let n = -0.5 - -50.5. Let k = n + -26. Let d = 24.5 - k. Put d, -7, 1/9 in ascending order.
-7, 1/9, d
Let r be 20/(-4) + 3 - -7. Suppose p - r*p = -220. Let i be (3 + p/(-10))*-2. Sort i, 1, 4 in ascending order.
1, 4, i
Let v be 12/(12/(-4) - -5). Suppose 3*o - 35 + 5 = 0. Suppose o = -p - p. Sort v, 2, p in descending order.
v, 2, p
Let k be ((-18)/12)/((-9)/24). Sort 355, k, 1 in descending order.
355, k, 1
Let h be (-3)/((-33)/12 - -2). Let r be 2/(-12) + (-276)/72*1. Sort 0, -3, r, h.
r, -3, 0, h
Let t = 237 + -248. Sort 4, 3, t in descending order.
4, 3, t
Let j = 5.055 - 0.055. Sort 0, 44, 2/9, j in decreasing order.
44, j, 2/9, 0
Let c = 38.9 + -75.3. Let o = c - -36. Put -0.04, o, -0.1 in decreasing order.
-0.04, -0.1, o
Let q = -104 - -50. Let c = 54.13 + q. Sort -3/4, c, -0.2 in decreasing order.
c, -0.2, -3/4
Suppose d - 8 + 7 = 0. Let p(c) = -c**2 + d + 4*c + 1 + 0*c + 7. Let q be p(6). Sort q, -4, 0.6 in decreasing order.
0.6, q, -4
Let c be 415/450 - 2/7. Let d = c + -22/35. Let b = d - 263/1386. Put 1/6, 0.2, b in ascending order.
b, 1/6, 0.2
Let t = 100 - 498/5. Let k = 11 - 10.45. Let j = k + -0.5. Sort t, j, -2 in decreasing order.
t, j, -2
Let u be (-9)/12*4/(-6). Let b = -46 + 45.7. Sort b, u, -9.
-9, b, u
Let r be (3/(-6))/(7/14). Sort -3, -2, r, 3.
-3, -2, r, 3
Suppose 8 = -3*x - 2*z, 2*x + z - 7 = 6*x. Let a = 3 - 9. Sort a, x, 5 in ascending order.
a, x, 5
Let z(x) = -x**2 - 5*x + 43. Let h be z(5). Sort -2, 1, h, -4 in decreasing order.
1, -2, -4, h
Let w = -18.6 + 22.6. Put w, 0.3, -0.12, -0.5 in decreasing order.
w, 0.3, -0.12, -0.5
Let h(x) = -5*x**3 + x**2 - 2*x + 1. Let m be h(1). Let w = 0.07 - -17.93. Let t = w + -20. Sort m, 4, t in increasing order.
m, t, 4
Let v = -43327.2 - -43327. Let l be 1/4 + (-62)/(-8). Suppose -a + 5 = -0*a - 3*c, -l = -2*a + 5*c. Sort a, v, -3/2.
-3/2, a, v
Suppose 0 = -3*l + 5 + 13. Suppose -4*f = -f + l. Let s be 2/2 - (1 - -1). Sort s, 0, f.
f, s, 0
Suppose -30*m + 23*m - 7 = 0. Sort -3, 0, 3, m in decreasing order.
3, 0, m, -3
Let n be (-1)/(-4) + 20/(-80). Let f = 1.6 + 0.4. Put 1, n, 3, f in ascending order.
n, 1, f, 3
Suppose 2*g - 2*t + 6 = 12, -4*g - 4*t + 4 = 0. Let o = 1 + 0. Put o, g, 0 in ascending order.
0, o, g
Let p = -40 - -35.1. Let j = p - -5.1. Sort -0.4, j, 6/5.
-0.4, j, 6/5
Let z = 1.24 + -1.74. Sort 0.3, z, -0.03, 0.4 in ascending order.
z, -0.03, 0.3, 0.4
Let r = 368 + -371. Put 14, r, 0.4, -1 in descending order.
14, 0.4, -1, r
Suppose -47*a + 44*a + 4 = -5*x, -5*a + 17 = 2*x. Put -6, -10, 5, a in increasing order.
-10, -6, a, 5
Let b = 1.05 - 0.05. Let w = 7 - 7. Let f = w + -0.5. Sort b, -2/9, f in ascending order.
f, -2/9, b
Let j(w) = -2*w + 20. Let n be j(10). Suppose 3*a - 6*a - 9 = n. Sort 1, -2, a.
a, -2, 1
Let v = -7 + 4. Let d(o) = -o**2 + 19*o + 2. Let c(l) = -l**3 - 10*l**2 - 18*l + 3. Let y be c(-8). Let s be d(y). Put -4, s, v in descending order.
s, v, -4
Let b be 14/6 + 3/(-3). Let p = -0.043 + -35.957. Let a = p + 36.4. Sort b, 0.5, a.
a, 0.5, b
Suppose -3*k + 6*k - 6 = 0. Suppose 0 = -5*d + 6*d + k. Sort -1, d, -4 in decreasing order.
-1, d, -4
Suppose 5*p + w = 10, 0*w - w = -2*p + 4. Suppose u - p*u = 5. Let n be -2 - (1 + 17/u). Sort -5, n, -0.5 in ascending order.
-5, -0.5, n
Let m = 0.08 - -2.92. Let x = -3.4 + m. Let y = 0.13 - -0.07. Put y, 3/7, x in descending order.
3/7, y, x
Let b be (2 + -3)/(1/13). Let i be (-1104)/1200 + 14/(-175). Put i, -2, b in decreasing order.
i, -2, b
Let j = -280 - -285. Suppose 4*s - 2*s - 9 = -3*n, 3*s = -3*n + 6. Sort s, -1, j in descending order.
j, -1, s
Suppose u = 4*g + 17, -2*g + 7*g = -4*u - 37. Sort -3, -4, g, 5 in descending order.
5, -3, -4, g
Let r be (2/(-20))/((-3)/12). Let b = -2 + 5. Let w = -0.575 + 0.375. Put r, w, b in ascending order.
w, r, b
Let z(d) = d**3 + 6*d**2 + 5*d + 2. Let o be z(-5). Put 22, o, -1 in ascending order.
-1, o, 22
Suppose 0 = 2*c - 0 + 8. Let v be (1 + -3)/c + (-3)/2. Sort v, 9, 5 in increasing order.
v, 5, 9
Let q(m) = -10*m + 6 + 6*m**3 - m**3 - 4*m**3 - 2*m**2 - 6*m**2. Let x be q(9). Let a = -16 + 11. Put 3, x, a in decreasing order.
3, x, a
Let v = -11 - 0. Let q be -2*3/12 - (-26)/4. Let c = q + v. Put -2, 3, c in descending order.
3, -2, c
Let u be (8/10)/(126/(-45)). Put u, -0.2, 10, 1/8 in increasing order.
u, -0.2, 1/8, 10
Suppose -3*s - 8 = -2*q + 2*s, 3*q + 3*s - 12 = 0. Let n(u) = u + 3. Let z be n(5). Suppose -7
|
{
"pile_set_name": "DM Mathematics"
}
|
10120 (base 4) to base 5
-120001
Convert -2305 (base 9) to base 16.
-6aa
What is -31578 (base 10) in base 2?
-111101101011010
-1100002 (base 3) to base 12
-692
1101 (base 2) to base 15
d
What is 294 (base 14) in base 7?
1344
Convert -1227 (base 8) to base 10.
-663
155b0 (base 13) to base 8
117126
c2 (base 15) to base 12
132
-3041 (base 6) to base 11
-562
-2750 (base 14) to base 9
-10450
-10220 (base 6) to base 13
-822
What is 1b6b8 (base 14) in base 7?
410621
1021101020 (base 3) to base 9
37336
-925 (base 12) to base 4
-110231
What is 16 (base 16) in base 7?
31
Convert 43211 (base 5) to base 8.
5563
1444 (base 10) to base 8
2644
Convert -23390 (base 10) to base 16.
-5b5e
Convert -111101011001 (base 2) to base 7.
-14312
-1503 (base 8) to base 14
-439
Convert 222021 (base 3) to base 13.
427
What is -1010001100 (base 2) in base 15?
-2d7
Convert 186 (base 11) to base 9.
258
Convert 114631 (base 7) to base 8.
50640
9121 (base 10) to base 8
21641
What is -442 (base 8) in base 10?
-290
What is 3cbb (base 16) in base 7?
63220
Convert 4a70 (base 15) to base 2.
11110111101111
What is -1231042 (base 6) in base 5?
-4110323
310 (base 8) to base 6
532
Convert 105c (base 14) to base 10.
2826
Convert 3032 (base 4) to base 3.
21122
651 (base 13) to base 2
10000111000
110000101100 (base 2) to base 8
6054
What is -5354 (base 6) in base 13?
-730
-786 (base 10) to base 16
-312
-2122430 (base 5) to base 6
-434342
Convert 13521 (base 7) to base 9.
5050
What is -2 (base 5) in base 13?
-2
-75 (base 8) to base 16
-3d
What is -790 (base 15) in base 13?
-a17
2132 (base 12) to base 15
1128
Convert 3221 (base 4) to base 15.
108
-1801 (base 11) to base 3
-10011012
20012010 (base 3) to base 4
1012200
What is 11100111101 (base 2) in base 15?
838
Convert -269 (base 16) to base 2.
-1001101001
Convert -e95 (base 15) to base 8.
-6332
-1011101000 (base 2) to base 14
-3b2
What is 2905 (base 15) in base 10?
8780
What is -7096 (base 16) in base 9?
-43474
What is -101120111 (base 3) in base 6?
-55404
Convert 35a (base 13) to base 5.
4312
-1710 (base 9) to base 14
-693
11001100 (base 2) to base 13
129
What is -83d2 (base 14) in base 16?
-58c4
Convert -212 (base 3) to base 11.
-21
What is 1110131 (base 4) in base 10?
5405
Convert 53464 (base 7) to base 9.
20181
Convert -100230 (base 4) to base 9.
-1416
What is 1022241 (base 5) in base 13?
7a9a
Convert -b3c9 (base 13) to base 7.
-132263
Convert 23152 (base 7) to base 13.
2902
Convert -212 (base 16) to base 13.
-31a
45ce (base 15) to base 7
61130
Convert -1011000111 (base 2) to base 5.
-10321
What is b2 (base 12) in base 3?
11222
Convert 45a (base 13) to base 10.
751
Convert 6217 (base 8) to base 6.
22515
-9c4a (base 13) to base 11
-15476
What is -1a72 (base 11) in base 5?
-40440
Convert -6010 (base 8) to base 4.
-300020
Convert b1b2 (base 12) to base 14.
7058
Convert -10011220212 (base 3) to base 12.
-302b8
Convert -7343 (base 10) to base 8.
-16257
Convert 165c (base 13) to base 8.
6330
What is -217 (base 13) in base 4?
-11212
What is -6480 (base 9) in base 15?
-1630
-5305 (base 10) to base 13
-2551
What is -303 (base 8) in base 10?
-195
-3424 (base 10) to base 11
-2633
What is 42082 (base 11) in base 10?
61316
Convert 61 (base 7) to base 11.
3a
3035 (base 8) to base 6
11125
What is -243422 (base 6) in base 16?
-5426
Convert 1036 (base 10) to base 16.
40c
Convert 2124 (base 5) to base 8.
441
Convert -1000101101110010 (base 2) to base 12.
-187aa
What is -1651 (base 8) in base 5?
-12222
Convert -31520 (base 7) to base 4.
-1321331
-49300 (base 10) to base 13
-19594
Convert 220201 (base 3) to base 7.
1642
What is 193 (base 15) in base 6?
1403
a70 (base 16) to base 10
2672
-560 (base 9) to base 12
-323
Convert -6151 (base 8) to base 3.
-11100200
What is -337a (base 12) in base 2?
-1011001001110
13011 (base 4) to base 15
203
221202000 (base 3) to base 2
100100101001101
13441 (base 5) to base 16
461
Convert 2154 (base 13) to base 3.
20100120
Convert -10001001110 (base 2) to base 6.
-5034
What is 37c9 (base 15) in base 6?
131013
What is -13022 (base 6) in base 5?
-30313
What is 53520 (base 6) in base 4?
1302120
Convert 517 (base 8) to base 15.
175
What is 1260 (base 10) in base 12?
890
What is 1024204 (base 5) in base 14?
64cd
-2328 (base 13) to base 3
-20202210
-10011101111 (base 2) to base 13
-762
Convert -2600 (base 11) to base 4.
-310330
221120 (base 3) to base 7
2004
Convert -2044 (base 5) to base 6.
-1134
-40a3 (base 11) to base 10
-5437
-55422 (base 6) to base 11
-5887
Convert -100001011100 (base 2) to base 11.
-1676
-133 (base 4) to base 9
-34
Convert -15004 (base 8) to base 12.
-3a30
What is 1302 (base 15) in base 4?
333110
-bb0b (base 12) to base 5
-1124403
What is 3061 (base 8) in base 12?
b01
12110 (base 4) to base 7
1115
336 (base 14) to base 16
27c
Convert 18cd (base 14) to base 13.
2078
-1100100000 (base 2) to base 13
-497
Convert -1481a (base 11) to base 12.
-10162
Convert 1103102 (base 4) to base 3.
21022102
10111000011001 (base 2) to base 8
27031
What is -3ab2 (base 14) in base 10?
-10348
Convert -28984 (base 10) to base 3.
-1110202111
111230 (base 4) to base 5
21023
Convert 120300 (base 4) to base 9.
2150
Convert 21017 (base 10) to base 12.
101b5
Convert 12a06 (base 11) to base 2.
100100001010111
ea2 (base 15) to base 12
1ab2
What is 1233 (base 5) in base 12?
141
-bcd (base 14) to base 6
-14453
Convert -101100100010 (base 2) to base 15.
-ca0
Convert 2ea (base 15) to base 7.
1645
What is 3332 (base 4) in base 5?
2004
Convert -46111 (base 7) to base 8.
-26707
What is -11100011101 (base 2) in base 3?
-2111110
Convert -250 (base 7) to base 11.
-111
4877 (base 9) to base 13
1867
-1749 (base 16) to base 13
-2937
What is -30043 (base 8) in base 14?
-46c3
Convert -fdb (base 16) to base 4.
-333123
Convert 10101 (base 4) to base 9.
333
-49a (base 12) to base 4
-22312
Convert 110100110 (base 2) to base 5.
3142
Convert -1122 (base 9) to base 12.
-592
540 (base 14) to base 8
2014
-780 (base 10) to base 16
-30c
Convert -23c6 (base 16) to base 10.
-9158
What is -30887 (base 10) in base 13?
-1109c
55ca (base 15) to base 8
43416
Convert 2011 (base 3) to base 9.
64
What is -1200010220 (base 3) in base 16?
-808e
Convert -102121011 (base 3) to base 8.
-20407
Convert -192 (base 10) to base 8.
-300
What is -31e1 (base 15) in base 10?
-10561
2644 (base 7) to base 5
13022
Convert -4252 (base 11) to base 8.
-12767
What is -475 (base 14) in base 3?
-1012212
-a2c4 (base 16) to base 12
-20144
Convert 17617 (base 9) to base 6.
132154
Convert -100122000 (base 3) to base 8.
-15554
Convert -563 (base 16) to base 2.
-10101100011
What is -330013 (base 4) in base 11?
-2988
1525 (base 8) to base 5
11403
21130303 (base 4) to base 15
b707
122334 (base 7) to base 8
53703
Convert 21020110 (base 3) to base 13.
252c
What is -262 (base 10) in base 3?
-100201
Convert 10015 (base 9) to base 8.
14657
Convert bb58 (base 12) to base 9.
31305
Convert -4332 (base 5) to base 15.
-297
215032 (base 6) to base 15
54b8
Convert -95e (base 16) to base 12.
-147a
77 (base 13) to base 12
82
-202 (base 7) to base 14
-72
What is 221222 (base 3) in base 16?
2bd
Convert 362306 (base 7) to base 12.
32002
-a05 (base 12) to base 6
-10405
What is -c328 (base 13) in base 4?
-12210121
-2465 (base 8) to base 6
-10101
Convert -1117 (base 8) to base 13.
-366
What is 1010100011011111 (base 2) in base 14?
11a7d
Convert -244 (base 6) to base 3.
-10201
Convert 3421 (base 6) to base 16.
325
Convert 3200301 (base 4) to base 7.
56640
-14124 (base 5) to base 12
-810
Convert -7460 (base 8) to base 12.
-2300
Convert d685 (base 14) to base 15.
ae45
What is 94 (base 12) in base 8?
160
3032 (base 5) to base 6
1452
-28867 (base 9) to base 3
-222222021
Convert 23798 (base 11) to base 9.
51852
Convert 1052 (base 7) to base 6.
1432
Convert -26072 (base 8) to base 14.
-41aa
Convert -100010100100110 (base 2) to base 8.
-42446
-2754 (base 13) to base 8
-13016
1032102 (base 4) to base 15
1740
Convert -110101010111 (base 2) to base 8.
-6527
What is 22604 (base 8) in base 15?
2ca4
Convert -5302 (base 8) to base 16.
-ac2
What is 5aa5 (base 15) in base 16?
4b50
Convert -3625 (base 7) to base 13.
-7c3
10117 (base 10) to base 15
2ee7
What is 66f (base 16) in base 6?
11343
56534 (base 7) to base 16
37fd
-10d2 (base 16) t
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the second biggest value in -2/3, -1.77, -3, a?
-2/3
Let x be ((-324)/(-624))/((-7)/4) - 20/(-130). Which is the third smallest value? (a) 1620 (b) 1 (c) -1 (d) -0.5 (e) x
e
Let q = 0.24 + 0.76. Let w = 73 - 33. Let r = -38 + w. Which is the second smallest value? (a) r (b) 1/5 (c) q
c
Let j = -765 - -765.4. Let l = 10 - 11. What is the second biggest value in l, -13/3, 4/5, j?
j
Let t be (-34 - -36) + 1 + 1. Suppose -z + 0*z = -3, -2*z = -t*a - 22. What is the second smallest value in 5, 1.2, a?
1.2
Let w = -9/301 - -41/11438. Which is the smallest value? (a) -2 (b) w (c) 0.5 (d) -2/11
a
Let g = -1671/169 - -49733/4901. Let m = -12/29 + g. What is the third smallest value in -22, m, -0.1?
-0.1
Let a = 477.9989 - 478. Let r = a + 3.0011. What is the third smallest value in -4, r, 59?
59
Let k = -108.048 + 0.048. Let z = -104 - k. What is the third smallest value in z, 3/8, -3/2, -2?
3/8
Let v = -0.21 - -0.2. Let t(m) = -4*m + 1. Let l(i) = i**2 - 43*i - 62. Let k(g) = l(g) - 6*t(g). Let q be k(22). What is the second biggest value in -3, v, q?
q
Let r = -14.28 + 3.28. Which is the second smallest value? (a) r (b) -28 (c) 2/7 (d) -2/15
a
Let s be -14*(8 + (-155)/(-10)). Let k = -337 - s. What is the third smallest value in 1/3, k, 1?
1
Suppose 2*w - 5*z - 10 = 0, -12 = -w - 3*z + 4. Let u = 3257/15 + -217. Which is the second biggest value? (a) w (b) u (c) 3
c
Let z = 3.2 + -4.67. Let a = z + 0.47. Let v = -229 - -2059/9. What is the third biggest value in a, 0.1, -5, v?
a
Let y = -2350.2 - -2356.2. What is the biggest value in 4, -3, y, -4, -6?
y
Let r = -1.77 - -2.17. Which is the fourth biggest value? (a) 2/7 (b) r (c) 4 (d) 6/13 (e) -194
a
Let s = 4157.8 + -4158. Let z = 22/135 - -1/27. Let k = -1.3 - 0.7. Which is the third smallest value? (a) k (b) 18 (c) s (d) z
d
Let v = 266 + -266.2. Let h be (-4)/(((-3)/6)/(-1)). Let x be (26/(-195))/(h/5). Which is the second smallest value? (a) -0.4 (b) v (c) x
b
Let l = -3255.94 - -3256. Which is the third smallest value? (a) l (b) -3 (c) 0.3 (d) -5
a
Let v = 4370 + -21849/5. What is the fifth smallest value in v, -1/4, 0.1, 1, -1?
1
Let r = -31324 - -31328. What is the third smallest value in -2/133, -0.27, -3/8, r?
-2/133
Suppose 551 + 2015 = 6*y - 2*s, 2*s = -3*y + 1268. Which is the smallest value? (a) 2/17 (b) 0.03 (c) y
b
Let i = -4588 + 4631.21. Let j = 0.79 + i. Let q = -33 + j. Which is the biggest value? (a) q (b) 2 (c) -1/6
a
Let q be 0*(-6)/(-36)*(-2)/6. Let u(k) = -k**2 - 2*k + 2. Let p be u(q). Which is the third smallest value? (a) -8 (b) -4 (c) p (d) 3/4
d
Suppose -17 = -2*k + j, -j + 0*j = -5*k + 35. Let t be 4*2*k/(-216). Let s = 0.4 - 3.4. What is the biggest value in t, -0.2, s?
-0.2
Let p = 10057 + -50286/5. Which is the second smallest value? (a) p (b) -0.4 (c) 0.1 (d) 15.1
a
Let o = -11.4 + 10. Let d = -926 - -1526. Let h = 601 - d. Which is the second biggest value? (a) 2/15 (b) h (c) o
a
Let i = -2161/1293 - -2/431. Let x = 37/6 - 265/42. Let w = x - 3/28. Which is the biggest value? (a) w (b) i (c) -19
a
Let y = 3411614/93 - 36684. Which is the third smallest value? (a) 12/7 (b) y (c) -2/3 (d) 0.5
d
Let v be 8 - (-1086)/(-66) - -9. Suppose 2*r = -4*l - r + 11, 2*l - 3*r = 19. Which is the second smallest value? (a) l (b) 1/4 (c) v (d) -10/3
b
Let q = 6073 + -66801/11. Which is the biggest value? (a) 2/9 (b) -5/6 (c) 2 (d) q (e) -1
c
Let v = -472308/115 - -4107. Let q = -209/805 + v. Which is the smallest value? (a) 3/8 (b) q (c) -55 (d) -5
c
Let j = -5.24 - -4.94. Which is the third smallest value? (a) -0.2 (b) 1.3 (c) 14 (d) j
b
Let v be (-59)/(-3) + 0 - 3/(-9). Let s be (14/21)/(4/9). Let o = 0 + 0.2. Which is the second biggest value? (a) v (b) s (c) o (d) 0.1
b
Let s = 89739/55 + -8159/5. Which is the third smallest value? (a) -0.1 (b) 1 (c) s (d) -4.2
a
Let z = 4032 - 4031.96. Which is the second smallest value? (a) 2/19 (b) 26.1 (c) z
a
Let m = 2 - 2.1. Let o = 3.32082 + 0.67918. Which is the third biggest value? (a) m (b) 2/25 (c) o (d) -0.4
a
Let v = 0.067 - 0.077. Let r = 62 + -63. Let w be (0/(-4))/(1/r). Which is the third biggest value? (a) v (b) w (c) 2
a
Let b = 0.20864 + 12.79136. What is the fourth smallest value in -14, 2, 0.4, b?
b
Let t be (-32)/(-8) + -2*2 + 5. Let r be 1/(t + -2)*(-19)/(-57). Which is the second biggest value? (a) -1/5 (b) r (c) 18/5 (d) 0.2
d
Let i(m) = -1342*m - 9393. Let s be i(-7). Which is the second smallest value? (a) -99.7 (b) s (c) 3
b
Let g = 250.3 - 240. Let n = 11.3 - g. Which is the biggest value? (a) -0.1 (b) n (c) 0.5
b
Let p be 3/68*1210/(-33) - 16/(-136). What is the fifth biggest value in p, 3/5, -4, -2, 1/8?
-4
Let m be (-20)/250 - (-10808)/100. Which is the third biggest value? (a) m (b) 0 (c) -2
c
Let p be 8 + (-3)/((-48)/(-136)). What is the fourth smallest value in p, 3, 0.03, 0.02?
3
Let z = 19101 - 34657/2. Let w = z - 1701. Let f = 71 - w. Which is the biggest value? (a) 2 (b) -0.4 (c) -0.3 (d) f
a
Let v = 0.01 - 2.01. Let i = -664.82 - -665.32. Which is the second biggest value? (a) 7/3 (b) v (c) i
c
Suppose 13*o - 78 = 117. Let l be o/(-12)*2/5. Which is the fourth biggest value? (a) l (b) -8/7 (c) -0.4 (d) 4
b
Let t = 0.001 + -0.301. Let s be (-19)/42 - 1/(-6). What is the fourth biggest value in -71, 3/5, t, s?
-71
Let d be (285/(-35) - -8)*(-2)/(-25). Let m = -68/175 + d. Let o = -8 + 4. Which is the third biggest value? (a) m (b) -0.3 (c) o
c
Let y = 1085 - 7597/7. Which is the smallest value? (a) -1/4 (b) y (c) 0.5
b
Let t(l) = l**3 - 61*l**2 + 125*l - 429. Let g be t(59). What is the third biggest value in -41, g, 4/5, 5?
g
Suppose -4*t + 10 = -6*u + 11*u, 19 = 5*t + 3*u. Suppose -2*v + t*c + 2 = -21, -v - 3*c - 5 = 0. What is the second biggest value in 0.1, 0.4, 8, v?
v
Suppose -w = -2*j - 16, 35 = -5*j - 5*w + 10. What is the second biggest value in 0, 3, 4, j, 22?
4
Let z = -3242 + 3243. Let d = -103/45 + 12/5. Let x = d - 4/9. Which is the biggest value? (a) z (b) x (c) 2/11
a
Suppose 2 = 5*k - 4*k. Let w be (-21)/(630/(-75))*(-14)/105. What is the second smallest value in k, -6/7, -1, w?
-6/7
Let x = -21.91 + 22.01. Which is the third smallest value? (a) x (b) -169/19 (c) 3
c
Let h = 3.2 - 3.1. Let p be (-1147)/(-18)*(-4)/(-2). Let g = -127 + p. Which is the smallest value? (a) 2 (b) h (c) g
b
Let f = -0.3 + 0.1. Let s = 6.0421 - 0.1261. Let j = 0.084 + s. What is the third biggest value in f, j, -3/8?
-3/8
Let s = -8.9648 + -0.0352. What is the second smallest value in -3, s, 2/9, -2/11, 0?
-3
Suppose 0 = 28*p - 16*p - 72. Let g be (238/18 - p) + -7. Which is the smallest value? (a) 14 (b) 0.2 (c) g (d) 3/5
b
Let y = -10457 - -10459. Which is the second biggest value? (a) -1/3 (b) -126 (c) -0.4 (d) y
a
Suppose 0 = -8*i + 13 + 11. Let u = -3 - -3.5. Which is the biggest value? (a) i (b) -0.1 (c) u (d) 2
a
Let f = -447/28 + 65/4. Let i be 30/16*((-264)/(-10) - 26). Which is the smallest value? (a) i (b) f (c) 0 (d) 1/9
c
Suppose 0*f - 6*f - 5 - 7 = 0. What is the second biggest value in -0.5, 2/5, f, -1, 2.9?
2/5
Let h(f) = f**3 + f**2 - 7*f - 7. Let t be h(-3). Let s = -129.5 - -102. Let r = -28 - s. What is the fourth biggest value in -5, t, 1/6, r?
-5
Let z = 1549 - 1526. Which is the fourth biggest value? (a) z (b) -2 (c) 1 (d) -1/5
b
Let p = 15 - 76/5. Suppose 5*l = -5*z + 3*l + 122, 4*z - 93 = 3*l. Suppose -h - 5*h = -z. Which is the fourth biggest value? (a) -4 (b) h (c) p (d) -3
a
Let v be (-960)/54 + 18 - (-57)/(-135). Which is the biggest value? (a) 510 (b) 0 (c) v
a
Let y(x) = -4*x**2 - 250*x - 169. Let f be y(-54). What is the smallest value in -3, -5, f?
-5
Let d = -7.55 - -5.55. What is the smallest value in d, 2/21, -3/5, 0.5?
d
Suppose 23*f = 14*f - 27. Let i be (-217)/868 - (-2)/(1*8). What is the fourth smallest value in 34, f, 1, i?
34
Let z = -265 - -162. Let b = z - -722/7. Let i = -1.1 + 1.2. What is the second smallest value in i, 5, b?
b
Suppose 5*q - 7 = 8. Let m = 2 + q. Let i = -561.1 - -561. What is the second smallest value in i, 0.5, m, 3/7?
3/7
Let m = -6.923 + 7.423. Let i = 1 + -0.98. Which is the
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*k. What is the second derivative of -3*m**3 - m + 0*m**2 + k*m + 0*m**2 wrt m?
-18*m
Let v(u) be the second derivative of 7*u**4/6 + u**2 - 6*u. What is the derivative of v(g) wrt g?
28*g
Let v(h) be the third derivative of 7*h**6/30 - h**5/60 + 7*h**4/8 - 5*h**2 - 2. Find the third derivative of v(q) wrt q.
168
Let p(z) be the third derivative of z**8/336 - 13*z**4/24 + 5*z**2. Find the second derivative of p(s) wrt s.
20*s**3
Let p(s) = -s**3 + s**2 + s - 1. Let o(g) = 23*g**3 - 3*g**2 - 3*g - 14. Let d(r) = o(r) + 3*p(r). What is the derivative of d(j) wrt j?
60*j**2
Let n = 5 - 8. Let f be n*(-3 + 4/2). What is the derivative of f*y**4 + 0*y**4 - 4*y**4 + 1 wrt y?
-4*y**3
What is the second derivative of -2*m - 14*m**2 - m + 12*m**2 + 29*m**2 wrt m?
54
Let s(r) = r**3 - 5*r**2 + 4*r + 3. Let f be s(4). Find the second derivative of -f*d + 0*d**2 - 7*d**2 + 3*d**2 wrt d.
-8
Let k(d) = d**2 - 4*d - 8. Let a be k(6). What is the second derivative of -2 - 3*i**2 + a - 2 - 3*i wrt i?
-6
Let f(p) = -28*p**2 + 5*p + 4. Let u(c) = 139*c**2 - 26*c - 20. Let t(m) = 11*f(m) + 2*u(m). What is the second derivative of t(y) wrt y?
-60
Let p(d) = 2*d - 1 - 1 - d + d**2 + 1. Let y(m) = -7*m**2 - 3*m + 4. Let h(l) = 4*p(l) + y(l). Find the second derivative of h(w) wrt w.
-6
Let z(c) = 5*c**3 + 28. Let t(l) = 1. Let q(p) = -2*t(p) + z(p). Differentiate q(y) with respect to y.
15*y**2
Let k(n) = 5*n**2 - 6*n + 9. Let j(s) = -2*s**2 - s**2 + 3*s - 4 + s**2. Let o(m) = 9*j(m) + 4*k(m). Find the second derivative of o(q) wrt q.
4
Let a(i) be the third derivative of 0 + 0*i + 0*i**3 - i**2 + 5/24*i**4 - 1/12*i**5. Find the second derivative of a(z) wrt z.
-10
Let q = 21 - 19. Find the second derivative of 8*f**2 + 4*f**q + 3*f - 10*f**2 wrt f.
4
Let o(a) be the first derivative of 8*a**3 - 63*a**2/2 + 3. What is the second derivative of o(g) wrt g?
48
Let g(w) be the second derivative of 0*w**2 - 1/12*w**4 + 4*w + 0 + 1/2*w**3. Find the second derivative of g(v) wrt v.
-2
What is the derivative of -17*f - 5 + 5*f + 2 - 9 wrt f?
-12
Let i(s) = -s**2 - s - 1. Let p(w) = -21*w**5 + 14*w**2 + 5*w + 5. Let m(l) = 5*i(l) + p(l). Find the third derivative of m(g) wrt g.
-1260*g**2
Let g(f) = 35*f + 17. Let m(a) = 17*a + 8. Let o(k) = 4*g(k) - 9*m(k). What is the derivative of o(z) wrt z?
-13
Let i(p) be the first derivative of 1 + 0*p**3 + 0*p + 2*p**2 - 3/4*p**4. Find the second derivative of i(t) wrt t.
-18*t
Let m(n) = -n**3 + n**2 + n + 1. Let g(l) = -36*l**3 + 15*l**2 - l - 1. Let c(j) = g(j) + m(j). Find the third derivative of c(z) wrt z.
-222
Let b(l) be the second derivative of 19*l**4/12 - 7*l**2 - 28*l. Differentiate b(r) with respect to r.
38*r
Let f(h) = 2*h**3 - 5*h**2 - 5*h + 14. Let n(i) = -3*i**3 + 4*i**2 + 4*i - 14. Let q(o) = -4*f(o) - 5*n(o). Differentiate q(p) wrt p.
21*p**2
Find the first derivative of 21*f**3 - 6*f**3 - 39*f**3 + 19 wrt f.
-72*f**2
Suppose u = -4*u + m + 7, 3*u + 3*m = 15. What is the second derivative of l - l**5 + l - u*l + 3*l wrt l?
-20*l**3
Let v(j) = -64*j**2 - 7*j + 85. Let u(x) = 32*x**2 + 3*x - 42. Let l(i) = -7*u(i) - 3*v(i). Find the first derivative of l(z) wrt z.
-64*z
Let j = -11 - -7. Let s be 6/j*(-8)/6. What is the second derivative of 0 - f**s + 0 - f wrt f?
-2
Let w(i) = 20*i**3 - 24*i + 28. Let n(s) = -s**3 + s - 1. Let d be (0 - (1 + -2))*-24. Let j(x) = d*n(x) - w(x). What is the first derivative of j(b) wrt b?
12*b**2
Let d = -12 + 45. Let z = d - 18. Find the first derivative of z - 2*r + 3*r - 12 wrt r.
1
Suppose 2*z + z = 0. Suppose l + 3*l - 32 = z. What is the second derivative of 5*o**2 - l*o**2 + 4*o**2 + o wrt o?
2
What is the second derivative of -9*q**4 - 10*q - 2*q + 9*q**4 + 2*q**5 wrt q?
40*q**3
Let t = 29 - 26. Let b be (-1 + 0)*1*-11. Find the third derivative of 0*h**2 - h**2 + 3*h**t + b - 11 wrt h.
18
Suppose 0 = 3*l - 0*l. What is the first derivative of -u + 4*u - 9 + l*u + 11 wrt u?
3
Suppose -5*i + 29 = 4. Let h be ((-24)/(-10))/(2/i). What is the first derivative of a**3 + a**3 - h*a**3 + 4 wrt a?
-12*a**2
Let c(r) = 49*r**2 + 14*r + 5. Let p(t) = -25*t**2 - 7*t - 3. Let v(a) = -3*c(a) - 5*p(a). What is the second derivative of v(i) wrt i?
-44
Let z(w) = 5*w**2 + w. Suppose -2*r - 3 = -1. Let i be z(r). Find the first derivative of 3 - 2*k**i + 3*k**4 - 4 + 3 wrt k.
4*k**3
Let t(y) be the first derivative of -y**6/120 - y**4/4 - y**3/3 - 2. Let x(n) be the third derivative of t(n). Differentiate x(z) with respect to z.
-6*z
What is the second derivative of -6*z + 0*z**3 + 0*z**3 - 3*z**5 - z**5 wrt z?
-80*z**3
Let x(g) be the second derivative of 7*g**5/20 + 2*g**3 - 8*g. What is the second derivative of x(o) wrt o?
42*o
Let l(n) = -n**3 - n**2 + 1. Let y(h) = 27*h**3 - 11*h**2 + 2*h - 4. Let p(r) = 4*l(r) + y(r). What is the third derivative of p(v) wrt v?
138
Let q = 15 + -11. Suppose 2*s - q*u = 24, 2*u + u + 25 = 5*s. Find the second derivative of 1 + s*d**4 + d - 1 wrt d.
24*d**2
Find the first derivative of -3*p**3 - 28 - 11*p**3 - 13*p**3 + 7*p**3 wrt p.
-60*p**2
Let d(g) be the first derivative of 2*g**3 + 4*g + 4. What is the first derivative of d(a) wrt a?
12*a
What is the third derivative of 5*i**3 - 7 + 12 - 5 + 11*i**2 wrt i?
30
Let v(o) = 5*o**4 - 2*o**3 - 2*o**2 + 11. Let b(s) = -10*s**4 + 5*s**3 + 5*s**2 - 21. Let k(m) = -2*b(m) - 5*v(m). What is the first derivative of k(i) wrt i?
-20*i**3
Let o be (0 + -2)/(-10)*(-30)/(-4). Let f(z) be the second derivative of 0 - o*z**2 - 3*z + 1/2*z**3. Differentiate f(q) with respect to q.
3
Suppose 1 + 3 = p. What is the third derivative of 0*d**4 - d**4 + d**2 + p*d**4 wrt d?
72*d
Differentiate -2*v + 8*v + 5*v - 5 wrt v.
11
Let c = -1 + 2. Suppose -10 = -3*h - c. Differentiate 2*k**3 + 1 + 0*k**h + 1 wrt k.
6*k**2
Let s = 3 - 3. Find the second derivative of s*g + 4*g + 3*g**5 + 0*g - g**5 wrt g.
40*g**3
Let t(i) be the third derivative of 23*i**5/30 - 11*i**3/2 - 77*i**2. Differentiate t(k) with respect to k.
92*k
Let w(z) = -150*z**2 - 4*z + 14. Let t(x) = 50*x**2 + x - 5. Let q(s) = -14*t(s) - 5*w(s). What is the second derivative of q(a) wrt a?
100
Let u = -14 - -17. Find the second derivative of 2*q - q**u + 3*q**3 - 4*q**3 - q**3 wrt q.
-18*q
Let f = 12/13 + -11/26. Let s(j) be the second derivative of -f*j**3 + 0 + 3*j - 3/20*j**5 + 0*j**2 + 0*j**4. What is the second derivative of s(u) wrt u?
-18*u
Let m = -1 - 6. Let j = m + 10. Differentiate -3 + j*h**4 - 2*h**4 - 4*h**4 wrt h.
-12*h**3
Let y = 36 + -26. Let n = 39 - 34. Find the second derivative of -4*i + 10*i**3 - y*i**3 - i**n wrt i.
-20*i**3
Let d = -7 + 11. Let i be 1/d + (-14)/(-8). Find the second derivative of -2*r - i*r**3 + 4*r - 5*r wrt r.
-12*r
Let u(h) = 54*h - 33. Let m(y) = 27*y - 16. Let d(i) = 11*m(i) - 6*u(i). What is the first derivative of d(t) wrt t?
-27
Let b be -2 + -7*(-1)/1. Suppose b*i + 2*d - 16 = i, 5*i - 4*d = 7. What is the second derivative of -4*y**3 + 2*y**3 + y + i*y**3 - 4*y**3 wrt y?
-18*y
Let m(l) = l**3 + 3*l**2 - l. Let x be m(-3). Suppose x*d - 2*d - 3 = 0. Find the first derivative of -4 + 1 - d*g**4 + 3 - 3 wrt g.
-12*g**3
Let g be -3*4/8*-2. Find the second derivative of -10*s**3 + 3*s - 6*s + 17*s**g wrt s.
42*s
Let f = -5 - -7. Let p = 8 + -6. What is the third derivative of 3*j**2 + f*j**3 + 3*j**3 - p*j**3 wrt j?
18
Let h(y) be the second derivative of y**5/20 + 25*y**3/6 - 6*y. Find the second derivative of h(q) wrt q.
6*q
Let l(x) = -x - 1. Let c(g) = -3*g - 3. Let v(a) = -4*c(a) + 9*l(a). Find the first derivative of v(k) wrt k.
3
Let a(y) = 31*y**4 - y**3 - y**2 + 12*y + 1. Let g(k) = -k**4 + k**3 + k**2 - 1. Let i(t) = -2*a(t) - 2*g(t). Find the second derivative of i(h) wrt h.
-720*h**2
Let r(u) = -u**4 + u**2 + u + 1. Let a(f) = 4*f**4 - f**2 + 3*f + 3. Let z(s) = a(s) - 3*r(s). What is the third derivative of z(w) wrt w?
168*w
Suppose 0 = -6*j + 2*j - 12. Let i = 0 - j. What is the second derivative of -3*r**4 - i*r + r - r wrt r?
-36*r**2
Let h be ((-5)/10)/((-1)/4). Differentiate -6 + 9 + 0*q - 4*q**h + 0*q with respect to q.
-8*q
Let n(i) be the second derivative of -2*i**7/21 - i**5/2 - 5*i**4/6 - i**2 - i + 46. Find the third derivative of n(h) wrt h.
-240*h**2 - 60
What is the derivative of -7*w*
|
{
"pile_set_name": "DM Mathematics"
}
|
?
283
Calculate the remainder when 393318 is divided by 243.
144
Calculate the remainder when 8656862 is divided by 16941.
11
What is the remainder when 79806 is divided by 1838?
772
What is the remainder when 755252 is divided by 12841?
10474
Calculate the remainder when 9866464 is divided by 114.
106
Calculate the remainder when 336064 is divided by 7.
1
Calculate the remainder when 63667187 is divided by 27.
26
Calculate the remainder when 18315439 is divided by 117.
25
What is the remainder when 103103033 is divided by 19?
8
Calculate the remainder when 52416 is divided by 123.
18
What is the remainder when 17188455 is divided by 1909828?
3
Calculate the remainder when 247299 is divided by 64.
3
Calculate the remainder when 1735347965 is divided by 256.
253
What is the remainder when 1418092 is divided by 74635?
27
What is the remainder when 189606 is divided by 406?
4
What is the remainder when 8772493 is divided by 3622?
9
What is the remainder when 50382436 is divided by 508?
12
What is the remainder when 1325656 is divided by 57637?
5
What is the remainder when 1402941 is divided by 13361?
36
What is the remainder when 1362935 is divided by 681448?
39
What is the remainder when 5410382 is divided by 78?
68
Calculate the remainder when 9775605 is divided by 754.
749
What is the remainder when 604073 is divided by 1825?
1823
What is the remainder when 1729183 is divided by 78599?
5
What is the remainder when 126770728 is divided by 4477?
4473
Calculate the remainder when 13373194 is divided by 1037.
42
What is the remainder when 38732 is divided by 34722?
4010
What is the remainder when 12510603 is divided by 150730?
13
Calculate the remainder when 216705 is divided by 812.
713
What is the remainder when 2862903 is divided by 1686?
75
Calculate the remainder when 488389 is divided by 263.
261
What is the remainder when 1520041 is divided by 1706?
1701
Calculate the remainder when 915808 is divided by 632.
40
What is the remainder when 28054268 is divided by 33964?
4
What is the remainder when 3938154 is divided by 4039?
129
Calculate the remainder when 2193654 is divided by 5713.
5575
What is the remainder when 85213234 is divided by 3263?
3252
Calculate the remainder when 2925517 is divided by 474.
463
What is the remainder when 2934685 is divided by 7827?
7387
What is the remainder when 247348442 is divided by 1233?
11
Calculate the remainder when 104531 is divided by 6533.
3
Calculate the remainder when 6347882 is divided by 3173932.
18
Calculate the remainder when 73723751 is divided by 3497.
3494
What is the remainder when 22852453 is divided by 345?
343
What is the remainder when 62632074 is divided by 90?
84
What is the remainder when 67206 is divided by 12758?
3416
What is the remainder when 69292785 is divided by 538?
537
Calculate the remainder when 679495 is divided by 19.
17
What is the remainder when 25760796 is divided by 8586931?
3
Calculate the remainder when 12564890 is divided by 4188249.
143
What is the remainder when 160242 is divided by 52?
30
Calculate the remainder when 2429738 is divided by 809906.
20
Calculate the remainder when 852977 is divided by 20.
17
Calculate the remainder when 353350045 is divided by 15523.
15519
Calculate the remainder when 131763 is divided by 1857.
1773
What is the remainder when 101127 is divided by 400?
327
What is the remainder when 324813 is divided by 162371?
71
What is the remainder when 31983218 is divided by 717?
716
Calculate the remainder when 20163387 is divided by 65.
62
Calculate the remainder when 1590568 is divided by 12832.
12232
What is the remainder when 122841 is divided by 24565?
16
Calculate the remainder when 585044756 is divided by 7720.
7716
What is the remainder when 488287 is divided by 366?
43
What is the remainder when 70046204 is divided by 1581?
1580
What is the remainder when 3853303 is divided by 23?
21
What is the remainder when 1703183 is divided by 173?
171
What is the remainder when 104720 is divided by 52015?
690
What is the remainder when 6374688 is divided by 796835?
8
What is the remainder when 61571 is divided by 1197?
524
Calculate the remainder when 464048 is divided by 869.
2
What is the remainder when 1304959 is divided by 710?
689
What is the remainder when 407137 is divided by 135090?
1867
Calculate the remainder when 750749 is divided by 143.
142
What is the remainder when 193361400 is divided by 288169?
1
Calculate the remainder when 7979233 is divided by 2659725.
58
What is the remainder when 492153 is divided by 492093?
60
Calculate the remainder when 126903 is divided by 31709.
67
Calculate the remainder when 2197866 is divided by 3109.
2912
Calculate the remainder when 3679375 is divided by 131406.
7
What is the remainder when 710835 is divided by 749?
34
Calculate the remainder when 323831 is divided by 418.
299
What is the remainder when 21891160 is divided by 1253?
1250
Calculate the remainder when 297026 is divided by 74246.
42
Calculate the remainder when 770640 is divided by 9397.
86
What is the remainder when 67867748 is divided by 11311288?
20
Calculate the remainder when 21680822 is divided by 433616.
22
What is the remainder when 63934 is divided by 4476?
1270
Calculate the remainder when 190709 is divided by 243.
197
What is the remainder when 1417423 is divided by 132?
7
What is the remainder when 44991649 is divided by 550?
549
Calculate the remainder when 81281 is divided by 11578.
235
What is the remainder when 3426592 is divided by 16474?
0
What is the remainder when 921821 is divided by 1022?
999
What is the remainder when 15914988 is divided by 328?
100
What is the remainder when 401377 is divided by 80253?
112
Calculate the remainder when 7751077 is divided by 51.
46
Calculate the remainder when 1736660 is divided by 578868.
56
What is the remainder when 667232 is divided by 154?
104
Calculate the remainder when 26222 is divided by 546.
14
What is the remainder when 2271920 is divided by 1012?
992
Calculate the remainder when 50471 is divided by 3107.
759
What is the remainder when 32967 is divided by 10723?
798
What is the remainder when 6936612 is divided by 495466?
88
What is the remainder when 759870 is divided by 242?
232
What is the remainder when 3304261 is divided by 76?
9
What is the remainder when 22559965 is divided by 108?
61
What is the remainder when 40025366 is divided by 10918?
10896
What is the remainder when 1161761 is divided by 4355?
3331
What is the remainder when 630245 is divided by 126048?
5
Calculate the remainder when 9954844 is divided by 585578.
18
What is the remainder when 1804113 is divided by 521?
411
What is the remainder when 82274966 is divided by 205?
61
Calculate the remainder when 293975 is divided by 146235.
1505
Calculate the remainder when 5946378 is divided by 1901.
50
What is the remainder when 15617796 is divided by 88?
84
What is the remainder when 191143 is divided by 126?
1
Calculate the remainder when 1729392 is divided by 237.
3
What is the remainder when 12572 is divided by 6165?
242
Calculate the remainder when 730592 is divided by 730535.
57
What is the remainder when 123767473 is divided by 11811?
4
Calculate the remainder when 3192406 is divided by 1756.
1754
What is the remainder when 6110332 is divided by 6881?
4
Calculate the remainder when 76199 is divided by 1003.
974
Calculate the remainder when 84865 is divided by 540.
85
What is the remainder when 1748450 is divided by 175?
25
Calculate the remainder when 428782 is divided by 451.
332
What is the remainder when 11343047 is divided by 89?
86
What is the remainder when 200326830 is divided by 30147?
15
Calculate the remainder when 8565 is divided by 8307.
258
What is the remainder when 128993 is divided by 333?
122
Calculate the remainder when 898167 is divided by 352.
215
What is the remainder when 10271476 is divided by 380?
76
Calculate the remainder when 3880106 is divided by 50.
6
Calculate the remainder when 41101 is divided by 654.
553
What is the remainder when 1452035 is divided by 676?
663
Calculate the remainder when 78428 is divided by 1194.
818
What is the remainder when 733836 is divided by 733335?
501
Calculate the remainder when 831496379 is divided by 1711.
1709
Calculate the remainde
|
{
"pile_set_name": "DM Mathematics"
}
|
3*h(p) - 2*n(p). Find the third derivative of r(u) wrt u.
600
Find the third derivative of -263*m**2 - 5440 + 0*m**6 - 3*m**3 - 19*m**6 + 4*m**3 + 5439 wrt m.
-2280*m**3 + 6
Let b(i) be the first derivative of -i**4/4 - 14*i**3/3 - i**2/2 - 25*i + 87. Find the second derivative of b(a) wrt a.
-6*a - 28
Suppose -64*r + 62*r + 4 = 0. Suppose 2*f + 3*k - 49 = -0*k, 54 = 2*f + 2*k. Find the third derivative of f*t**5 - 32*t**5 + 6*t**6 - r*t**2 wrt t.
720*t**3
Suppose -5 - 5 = -10*g. Find the second derivative of 3 - 4 - 6*t**4 + t + g wrt t.
-72*t**2
Let r(t) be the third derivative of 13*t**9/84 + 2*t**7/105 + 31*t**5/6 - 179*t**2 + 2*t. Find the third derivative of r(x) wrt x.
9360*x**3 + 96*x
Let m(t) = t**3 - 21*t**2 - 22*t + 11. Let a be m(22). What is the second derivative of -24*r**5 + r + a*r + 16*r + 4*r wrt r?
-480*r**3
Let h(g) be the second derivative of g**7/21 - 2*g**3 + 17*g**2/2 - 2*g. Let l(t) be the first derivative of h(t). Differentiate l(n) with respect to n.
40*n**3
Let d(c) be the third derivative of 131*c**8/336 - 49*c**4/24 + 6*c**2 - 4*c. What is the second derivative of d(z) wrt z?
2620*z**3
Let g(w) = w**3 - w**2. Let l(y) = 5*y**3 + 4*y**2 + 2*y + 61. Let u(t) = 2*g(t) - l(t). What is the second derivative of u(j) wrt j?
-18*j - 12
Let r(w) = w**2 + w - 1. Let v(s) = 4*s**3 + 2*s**2 + 2*s - 4. Let m = -18 + 20. Let n(t) = m*r(t) - v(t). Differentiate n(z) wrt z.
-12*z**2
Let y(g) be the first derivative of 0*g**3 + 7/2*g**2 + 15/4*g**4 + 0*g + 5. What is the second derivative of y(m) wrt m?
90*m
Let z(f) be the first derivative of 5/3*f**3 + f**2 - 10 - 1/12*f**4 + 0*f. Let x(o) be the second derivative of z(o). Find the first derivative of x(t) wrt t.
-2
Let a(v) = -903*v**2 + 4*v - 34. Let y(r) = 905*r**2 - 5*r + 37. Let u(c) = -7*a(c) - 6*y(c). Find the second derivative of u(s) wrt s.
1782
Let t be 2*(1 - 2) + -4. Let j be t/(-18)*(2 + 10). Differentiate 2*q**2 - 6 - 3*q**2 + j*q**2 + q**2 wrt q.
8*q
Let k = 21 - 9. Differentiate k*h**3 - 8 + 14*h**3 - 28*h**3 + 6*h**3 with respect to h.
12*h**2
Differentiate 83*l + 77*l - 23 - 18*l - 30*l with respect to l.
112
Let a be -3 + (2 + -4 - -1). Let n = 0 - a. What is the derivative of -8*t**4 - 1 + 12*t**n - 3 + t**4 wrt t?
20*t**3
Let r(t) be the third derivative of 311*t**7/70 + 89*t**3 - 579*t**2. What is the first derivative of r(f) wrt f?
3732*f**3
Let u(m) be the first derivative of -m**5/5 + 2*m**3 - 64*m - 50. What is the first derivative of u(r) wrt r?
-4*r**3 + 12*r
Suppose 4*x - 4 = -0*x. Let y be 0/(x - -2) - -2. Find the second derivative of -3 - 3*s**y + 3 - 2*s wrt s.
-6
Suppose 3*l - 4*l + 10 = 0. Find the third derivative of -17*r**2 - l*r**4 + 5*r**3 - 4*r**3 - r**3 wrt r.
-240*r
Let j(z) = 3*z**2 - z. Let s = -1 + 2. Let d be j(s). What is the third derivative of -2*c**d + 3 + c**6 - 7 + 4 wrt c?
120*c**3
Let s(m) be the first derivative of -11 + 0*m**3 - 3/2*m**2 + 0*m + 0*m**4 - 8/5*m**5. Find the second derivative of s(i) wrt i.
-96*i**2
What is the third derivative of -91*m**3 + 37*m**3 + 50*m**3 + 28*m**3 - 44*m**2 + 16*m**3 wrt m?
240
Let n(y) be the first derivative of -4 - 9 - 2*y**2 - y**3 + 4*y**3 - 2*y**2. What is the second derivative of n(u) wrt u?
18
What is the third derivative of -16886*g**6 + 16802*g**6 + 220*g**2 - 75*g**2 wrt g?
-10080*g**3
Let t(i) be the first derivative of 0*i**3 - 27*i**2 + 25/4*i**4 + 7 + 0*i. What is the second derivative of t(q) wrt q?
150*q
Let r be 6 - (9/3 - 3). Differentiate -12*b - 3 - r + 3 - 4 wrt b.
-12
Let f(y) be the first derivative of 39*y**4 - 228*y - 178. What is the derivative of f(s) wrt s?
468*s**2
Suppose 13 + 14 = 3*q. Let d = 1 + q. What is the first derivative of d - 2*p**4 - 1 - 4 wrt p?
-8*p**3
Let k be (-26 - -23)*(-4)/3. What is the second derivative of -5*q**4 + 4*q**4 - 6*q + 0*q**4 - 3*q**k wrt q?
-48*q**2
Let x(s) be the first derivative of -426*s**5/5 + 124*s**3 + s**2/2 + 261. What is the third derivative of x(d) wrt d?
-10224*d
Let o(j) be the first derivative of -j**10/336 + j**6/72 + 8*j**3/3 + 2. Let t(s) be the third derivative of o(s). What is the third derivative of t(b) wrt b?
-1800*b**3
Suppose 0 = -4*f + 4*y, 10 = 2*y - 0*y. What is the derivative of -29*w**2 - 5*w**2 - 2 - f + 4*w**2 wrt w?
-60*w
Let l(i) = -15*i**3 + 4*i**2 - 11*i + 49. Let g(z) = -29*z**3 + 9*z**2 - 24*z + 96. Let u(s) = 4*g(s) - 9*l(s). What is the second derivative of u(r) wrt r?
114*r
Suppose -2*l = l. Let w = l - 0. What is the first derivative of 0*n + w - n + 1 wrt n?
-1
Let p(a) be the third derivative of 17*a**6/24 - 7*a**5/5 - 24*a**2. What is the third derivative of p(s) wrt s?
510
Let x(y) be the first derivative of 83*y**4/4 + 121*y**3/3 + 121. Find the third derivative of x(z) wrt z.
498
Let b(t) = 790*t**3 - 337. Let l(g) = 785*g**3 - 336. Let d(u) = -4*b(u) + 5*l(u). Differentiate d(p) wrt p.
2295*p**2
Let s be 8/(-44) + (-120)/(-55). What is the third derivative of 15*b**2 - 24*b**s - 12*b**2 - 13*b**3 wrt b?
-78
Let v(t) = 58*t**3 - t**2 + 6*t + 135. Let s(y) = -2*y**3 + y - 1. Let m(c) = -6*s(c) + v(c). What is the derivative of m(k) wrt k?
210*k**2 - 2*k
Let n(i) be the first derivative of -i**5 + 0*i**4 + 9/2*i**2 + 0*i + 0*i**3 - 16. Find the second derivative of n(k) wrt k.
-60*k**2
Let i(x) = 625*x**2 + 6*x + 98. Let f(b) = -313*b**2 - 3*b - 45. Let k(y) = 5*f(y) + 2*i(y). What is the second derivative of k(p) wrt p?
-630
Suppose 34 = 2*q + 8. Suppose 4 = -q*b + 15*b. What is the second derivative of 25*j + 6*j**2 - 3*j**2 + 7*j**b - 17*j wrt j?
20
What is the third derivative of -41*k**3 + 36*k**3 - 27*k**4 + 7*k**3 - 201*k**2 wrt k?
-648*k + 12
Let p(b) = -1 - 5 + 5*b + 3 + 4. Let n be p(1). Find the third derivative of -7*t**6 + 3*t**2 + 2*t**n - 8*t**2 wrt t.
-600*t**3
Suppose 3*t + 3*f = 4*f + 2, -4*f = t - 18. What is the third derivative of -3*u**4 - 46*u**3 + 46*u**3 + u**5 - 38*u**t wrt u?
60*u**2 - 72*u
Let a(u) be the third derivative of 0*u + 0*u**5 + 0*u**6 + 0 - 11*u**2 + 0*u**3 - 3/8*u**4 - 11/210*u**7. Find the second derivative of a(s) wrt s.
-132*s**2
Suppose -7*y + 9 = -5. Let t = -9 + 13. Find the second derivative of -4*u + 9*u**2 - y*u**2 - t*u**2 - 2*u**2 wrt u.
2
Let a(g) = g + 3. Let r be a(-3). Let v = -6 - -8. Differentiate 6*k**2 - 3 + r*k**2 - v - 2*k**2 with respect to k.
8*k
Let b(z) = 4*z**2 - 5*z - 4. Let a be b(-3). Let s = 120 - 117. Differentiate k**2 + 54 - a - s*k**4 - k**2 with respect to k.
-12*k**3
Let n(j) = 14*j + 7. Let v(q) = 3 + 5 + 43*q - 58*q + 28*q. Let c = 1 + -3. Let o(r) = c*n(r) + 3*v(r). Differentiate o(g) wrt g.
11
Let d(i) = 2*i - 14. Let a be d(9). Find the second derivative of 19*j**4 - 29*j**a + 16*j**4 - 7*j wrt j.
72*j**2
Let r(v) be the third derivative of 11*v**5/20 + v**3 - 8*v**2 - 3*v. Find the first derivative of r(i) wrt i.
66*i
Find the third derivative of 1392*g**3 + 2*g**2 + 2*g**6 - 5 - 6*g**2 - 12 - 1394*g**3 wrt g.
240*g**3 - 12
Let p(d) = -d**2 + 11. Let c be p(0). What is the second derivative of -c - 2*l**4 + 5 - 4*l + 6 wrt l?
-24*l**2
Let c(v) = 2*v**2 - v. Let n(a) = 24*a**2 - 6*a + 75. Let t(y) = 5*c(y) - n(y). What is the second derivative of t(m) wrt m?
-28
Let k(a) be the first derivative of -44*a**3/3 - 8*a**2 - 70. What is the second derivative of k(m) wrt m?
-88
Let a(r) = r**2 + r - 1. Let s(z) = 13*z**2 - 9*z + 225. Let v(w) = 6*a(w) + s(w). Differentiate v(l) with respect to l.
38*l - 3
What is the third derivative of -84*s**2 - 8*s**3 + 9*s**6 + 8*s**3 + 5*s + 76*s**2 wrt s?
1080*s**3
Let s = -55 + 31. Let g be (s/(-10))/((-15)/(-50)). What is the first derivative of -4 + 2*h**2 + g + 2 wrt h?
4*h
Let w be 39/(-936) + (-1)/(-3). Let o(r) be the third derivative of 1/30*r**5 + 0*r**3 + r**2 + 0 + 0*r - w*r**4. What is the second derivative of o(b) wrt b?
4
Let v(u) be the first derivative of -9*u**4/2 - 17*u**3/3 - 113. Find the third derivative of v(k) wrt k.
-108
Let c = -8 + 13. Let g be 1/((c/(-2))/(-5)). What is the third derivative of d**g + 5*d**2 - d**2 + 2*d**4 - 2*d**2 wrt d?
48*d
Let y be 528/288 + (26/12 - 2). Let i(c) be the second derivative of -1/4*c**4 - 6*c + 0 + 0*c**y + 1/3*c**3. What is the second derivative of i(q) wrt q?
-6
Let m(x) be the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
7406.4 (b) -4/9 (c) 0.1
b
Which is the fifth smallest value? (a) 0.12 (b) 69 (c) 156 (d) -0.2 (e) 6
c
Which is the smallest value? (a) 1.7 (b) -8/7 (c) -0.108 (d) 0 (e) -0.072
b
What is the second biggest value in -5, 35, 2.111, -1, -2/9?
2.111
What is the fourth smallest value in -112, 0.2, -0.3, -4, -2/11, 2/5, -5?
-0.3
Which is the second smallest value? (a) 2 (b) -22/5 (c) -5 (d) -1 (e) -8 (f) -0.046 (g) 29
c
What is the second biggest value in -3, 1/123, -0.5, -3.883, -4/9?
-4/9
What is the biggest value in -4, -2709, -0.94, -0.3?
-0.3
Which is the fourth biggest value? (a) -24 (b) -2/31 (c) -1/2 (d) 43 (e) -2/7 (f) -1/4
e
What is the fourth smallest value in -2, 1/4, -4/27, 21.753?
21.753
What is the second biggest value in 11255265, -2/3, -6?
-2/3
What is the second smallest value in 164, 118/5, -0.03, -2?
-0.03
What is the third biggest value in 0.0414, 10, -5, -2/7, -4/9?
-2/7
What is the third smallest value in 3/8, 1, 0.5, 0.2, -7572, -0.5, 5?
0.2
What is the third biggest value in -2/9, -10/77, 1.228?
-2/9
What is the third biggest value in -3/4, 0, -958, 0.378, -17, -4?
-3/4
Which is the fifth smallest value? (a) -10 (b) 31.1 (c) 0 (d) 1/4 (e) -70 (f) -1/7 (g) -4/7
c
What is the fourth smallest value in 4, -0.1, -0.3, 70, -298?
4
What is the third smallest value in 16670944, 0.3, 2?
16670944
Which is the third biggest value? (a) 13432 (b) 1115 (c) 4
c
What is the seventh smallest value in -2/7, -6, 2/3, -0.4, -0.5, -428, 0.5?
2/3
Which is the third biggest value? (a) -0.209 (b) 64 (c) 1/5 (d) 18/17
c
What is the biggest value in 5, 2, 1/3, -7, -0.04, 14308?
14308
Which is the smallest value? (a) 2 (b) 1/4 (c) 4 (d) -71.518 (e) 0.2 (f) 0.5
d
Which is the fifth smallest value? (a) -0.06 (b) 0.4 (c) -1 (d) 15 (e) -0.8 (f) -0.01 (g) 4
b
What is the sixth smallest value in 1/463, 0.2, -5, 5/11, -1/2, -0.07?
5/11
What is the third biggest value in -5/4, -26, -21, -1209?
-26
What is the second biggest value in 1/5, 12387, 4, -0.2, 2, -3, -2/61?
4
What is the fourth smallest value in 0, -2/3, -32393/6, -2?
0
What is the second smallest value in -0.18, 543, -4.8?
-0.18
What is the second biggest value in -12, -5, 5, -2.032, 2/35, 0.2, 1/4?
1/4
What is the sixth biggest value in 1/11, 1, 4, -265, 4/53, -3?
-265
What is the biggest value in -4/5, 21, -67, 5, -4, -2.7, 1?
21
Which is the fifth smallest value? (a) 2 (b) -3 (c) 2/5 (d) 89 (e) -11434 (f) 5/4 (g) 0.2
f
What is the fourth biggest value in 22, -1, -0.03, 265/173?
-1
What is the fourth smallest value in -10, -1/2, -7, 3, 4/5, -0.1, 0.062?
-0.1
Which is the third smallest value? (a) 5 (b) -78850 (c) -0.3 (d) 0 (e) -4
c
What is the fourth smallest value in 36, 0, -2, 2, -69, -0.11?
0
What is the fourth biggest value in -7.5, 0.4, -3, -6, 30/67, -1/3?
-3
Which is the fourth smallest value? (a) -0.6967 (b) 23/8 (c) 0 (d) 0.2
b
Which is the fourth smallest value? (a) -3.4 (b) 0.04 (c) 5 (d) -6 (e) 51
c
Which is the fifth biggest value? (a) -1.33 (b) -5 (c) 0.036 (d) -1/3 (e) 64.5
b
Which is the sixth smallest value? (a) -8 (b) -5 (c) -3/2 (d) -0.1 (e) 1 (f) -1 (g) -400/231
d
What is the third biggest value in 0.1, -8, 3/4, -2/19, -0.2, 5329, 0.07?
0.1
Which is the third smallest value? (a) 52 (b) -0.1 (c) -1.056
a
What is the sixth smallest value in 2.9, 2, -4447, -2, 1/35, 0.3?
2.9
What is the second biggest value in -0.1, 2, -364944, -0.06?
-0.06
Which is the fourth smallest value? (a) -6 (b) -644 (c) 2 (d) 0.1 (e) 1/6 (f) -0.5
d
Which is the smallest value? (a) 0.15 (b) -4914 (c) -0.2 (d) 5
b
Which is the third smallest value? (a) 170963 (b) 0.3 (c) -0.4 (d) 2
d
Which is the fifth biggest value? (a) -1 (b) -0.31 (c) 0.04 (d) 5 (e) 13 (f) 0.4 (g) 0.02
g
Which is the second biggest value? (a) -1 (b) -16/5 (c) 0.030228 (d) -3
a
What is the fourth smallest value in 172/423, 0.2, 0, -1/6, -33?
0.2
What is the biggest value in -2/21, -20618.33, -3?
-2/21
What is the smallest value in -8/39, 961/4, -1?
-1
What is the third smallest value in 3/7, -3/22, 81, -2/7, -0.4, -4/9?
-2/7
Which is the fourth biggest value? (a) 9 (b) -1 (c) -2/3 (d) -5 (e) -6 (f) -7.95
d
What is the third smallest value in -0.4, 76991, 2/301?
76991
What is the fifth biggest value in -0.27, -5, -1/10, -1.68, -61, 8?
-5
What is the fourth smallest value in -0.3, 2.5, -260/87, 0.12?
2.5
Which is the third smallest value? (a) -0.2 (b) -152597 (c) 1/4 (d) 3.2
c
Which is the second biggest value? (a) -9 (b) 520652 (c) -5 (d) -2
d
What is the smallest value in -1/8, -1/2, -1/4, -3317, 11.82?
-3317
What is the second biggest value in 152, -110/17, 3/7, -3/8?
3/7
Which is the smallest value? (a) -1/5 (b) -52 (c) 73/2283
b
Which is the biggest value? (a) -0.2 (b) -0.008 (c) 3/2 (d) -5 (e) 2/9 (f) -1303
c
Which is the third biggest value? (a) 2368/5 (b) 0 (c) 2/7 (d) -2 (e) -19
b
Which is the second biggest value? (a) 5 (b) -71003 (c) -40
c
Which is the smallest value? (a) 5 (b) -3 (c) 3 (d) 1/3 (e) 319 (f) 1/6
b
What is the third smallest value in 94/9, -4, 1, 1.214?
1.214
What is the biggest value in 0.04, -3, 7, -0.05, 18, -1/8, -0.65?
18
Which is the second smallest value? (a) -111/2 (b) -0.4698 (c) 15
b
What is the biggest value in 5, 3/5, 1/4, 696, 182.8, -1/2, -2?
696
What is the smallest value in 48937/2, -0.1386, -5?
-5
What is the fifth biggest value in 25, -0.91, 3/148, -8, -2/3, -5?
-5
What is the third smallest value in 1/5, 1, -6, -7.62, -2/13?
-2/13
What is the fifth biggest value in 3/4, -2/475, -1/3, 11.72, 0.5, 0, 8?
0
What is the fifth smallest value in -4, 16, -15406, 2, 0.05, 0.4?
2
Which is the third biggest value? (a) -3 (b) -277/2 (c) -203203
c
Which is the seventh biggest value? (a) -2 (b) 0.06 (c) 3 (d) -1 (e) -1/7 (f) -8 (g) 0.097
f
Which is the second biggest value? (a) -78 (b) -41 (c) 15 (d) -6 (e) -0.1
e
Which is the smallest value? (a) 21/13264 (b) -2 (c) 2/169
b
What is the sixth biggest value in -1, 0.2, -13, -21, -0.2, 0.0295?
-21
What is the third biggest value in 4494, 1.4, -2?
-2
What is the biggest value in -2497, 0, -4643, 5?
5
What is the seventh smallest value in -2, 0.4, -0.255, 171, -0.5, 2/7, 12?
171
Which is the sixth biggest value? (a) -5 (b) -3 (c) 0.2 (d) -2/13 (e) -4 (f) 0 (g) 75/26
e
What is the second biggest value in 20, 35, -1, 5/4, -2, 4/137?
20
Which is the second smallest value? (a) -0.1 (b) -9285 (c) -4/3 (d) 0 (e) -0.01 (f) 2/3
c
What is the third smallest value in -1/3, -4, 5, 3561502, 2?
2
Which is the seventh smallest value? (a) 5/6 (b) 2 (c) 55 (d) 0.5 (e) 0.058 (f) -0.5 (g) 2/19
c
Which is the second smallest value? (a) -2 (b) 528 (c) -4/5 (d) -0.299 (e) 5
c
Which is the third biggest value? (a) 1/5 (b) 0.5543 (c) -0.03 (d) 1/7 (e) 2 (f) 1/6
a
What is the smallest value in 3/7, 0.091502, -1?
-1
What is the sixth smallest value in 3, -1/3, -1.2, -994, 156, 1/9?
156
What is the fourth biggest value in -26, -9.9, -3, 1/2, -42/43?
-9.9
Which is the fourth smallest value? (a) 212 (b) -0.41 (c) -5/19 (d) 3/8 (e) -0.1
d
What is the third biggest value in 1/115, 0.1, -3/404, -85, -3/8?
-3/404
What is the biggest value in 11.8, -10, 38, -0.19?
38
What is the biggest value in -2/11, -49876, -2/3, -3?
-2/11
Which is the third biggest value? (a) 5/6 (b) -3 (c) 1 (d) -12541 (e) 1/6
e
Which is the second biggest value? (a) -3 (b) -23231764 (c) 2/3
a
Which is the fifth smallest value? (a) -3 (b) -3/61 (c) 2 (d) -2/15 (e) 0.116 (f) 3
c
What is the second smallest value in 65, -2/7, 40, 9, 5?
5
Which is the third smallest value? (a) -0.01332825 (b) 1/2 (c) 2
c
Which is the fourth smallest value? (a) -14 (b) 4 (c) 365 (d) -71
c
Which is the fifth smallest value? (a) 0.5 (b) -0.9 (c) -1 (d) 2/5 (e) 0.00145
a
Which is the second biggest value? (a) -3/5 (b) 2 (c) 5 (d) -30351
b
What is the biggest value in 2, -92, -16, -371, 56?
56
Which is the smallest value? (a) -5 (b) -0.24 (c) -3 (d) 55300 (e) -4
a
Which is the biggest value? (a) -2 (b) 1 (c) 3 (d) -1 (e) 4 (f) 26/5
f
Which is the fourth biggest value? (a) -49 (b) 0.05 (c) -44 (d)
|
{
"pile_set_name": "DM Mathematics"
}
|
by 374400.
6
What is the remainder when 692940 is divided by 822?
816
Calculate the remainder when 10804 is divided by 2700.
4
Calculate the remainder when 1813525 is divided by 374.
373
Calculate the remainder when 40302 is divided by 13430.
12
What is the remainder when 2353 is divided by 2327?
26
What is the remainder when 8768 is divided by 162?
20
What is the remainder when 21998 is divided by 21974?
24
Calculate the remainder when 83263 is divided by 34.
31
Calculate the remainder when 141032 is divided by 8294.
34
Calculate the remainder when 9764 is divided by 66.
62
Calculate the remainder when 4024 is divided by 3005.
1019
Calculate the remainder when 99904 is divided by 51.
46
Calculate the remainder when 1608 is divided by 1608.
0
Calculate the remainder when 139620 is divided by 56.
12
What is the remainder when 19533 is divided by 9756?
21
Calculate the remainder when 23621 is divided by 45.
41
Calculate the remainder when 3337 is divided by 603.
322
Calculate the remainder when 3201 is divided by 119.
107
What is the remainder when 123718 is divided by 41237?
7
Calculate the remainder when 64251 is divided by 67.
65
What is the remainder when 85181 is divided by 13?
5
What is the remainder when 132251 is divided by 89?
86
Calculate the remainder when 14334 is divided by 20.
14
What is the remainder when 60514 is divided by 60494?
20
Calculate the remainder when 698 is divided by 219.
41
Calculate the remainder when 380004 is divided by 32.
4
Calculate the remainder when 17471 is divided by 5813.
32
Calculate the remainder when 1255 is divided by 209.
1
Calculate the remainder when 264157 is divided by 17610.
7
Calculate the remainder when 4242 is divided by 2116.
10
What is the remainder when 19835 is divided by 51?
47
What is the remainder when 20489 is divided by 3379?
215
What is the remainder when 21859 is divided by 1284?
31
Calculate the remainder when 1455325 is divided by 4.
1
Calculate the remainder when 83168 is divided by 66.
8
What is the remainder when 4313 is divided by 120?
113
What is the remainder when 227494 is divided by 510?
34
What is the remainder when 8093 is divided by 7888?
205
What is the remainder when 1747 is divided by 906?
841
Calculate the remainder when 1520074 is divided by 38.
36
What is the remainder when 43418 is divided by 620?
18
What is the remainder when 166684 is divided by 53?
52
Calculate the remainder when 165161 is divided by 1007.
13
What is the remainder when 165751 is divided by 926?
923
Calculate the remainder when 140624 is divided by 533.
445
Calculate the remainder when 510 is divided by 40.
30
Calculate the remainder when 1489 is divided by 135.
4
Calculate the remainder when 1168 is divided by 2.
0
What is the remainder when 40472 is divided by 29?
17
What is the remainder when 51548 is divided by 409?
14
Calculate the remainder when 6802292 is divided by 552.
548
What is the remainder when 659114 is divided by 13451?
15
Calculate the remainder when 10991 is divided by 522.
29
What is the remainder when 3285 is divided by 288?
117
What is the remainder when 242187 is divided by 199?
4
Calculate the remainder when 255339 is divided by 351.
162
What is the remainder when 7393 is divided by 6871?
522
What is the remainder when 55504 is divided by 18501?
1
Calculate the remainder when 19054 is divided by 18913.
141
Calculate the remainder when 943 is divided by 24.
7
Calculate the remainder when 167 is divided by 9.
5
Calculate the remainder when 1265 is divided by 133.
68
Calculate the remainder when 623611 is divided by 672.
667
Calculate the remainder when 2058 is divided by 872.
314
Calculate the remainder when 2998 is divided by 71.
16
Calculate the remainder when 654927 is divided by 90.
87
Calculate the remainder when 165317 is divided by 686.
677
Calculate the remainder when 1691191 is divided by 755.
746
What is the remainder when 2578 is divided by 7?
2
Calculate the remainder when 6061 is divided by 192.
109
Calculate the remainder when 228976 is divided by 14.
6
Calculate the remainder when 576 is divided by 157.
105
Calculate the remainder when 17282 is divided by 2344.
874
What is the remainder when 14119 is divided by 113?
107
Calculate the remainder when 67468 is divided by 26.
24
What is the remainder when 4038 is divided by 572?
34
Calculate the remainder when 6869 is divided by 1373.
4
What is the remainder when 96721 is divided by 9?
7
What is the remainder when 120059 is divided by 174?
173
What is the remainder when 77467 is divided by 22?
5
What is the remainder when 6388 is divided by 45?
43
What is the remainder when 338884 is divided by 50?
34
What is the remainder when 20018 is divided by 213?
209
What is the remainder when 3732348 is divided by 85?
83
Calculate the remainder when 10289 is divided by 1713.
11
Calculate the remainder when 1609 is divided by 159.
19
Calculate the remainder when 12834 is divided by 2139.
0
Calculate the remainder when 22980 is divided by 18.
12
Calculate the remainder when 116781 is divided by 251.
66
What is the remainder when 14209 is divided by 2358?
61
What is the remainder when 2062 is divided by 122?
110
Calculate the remainder when 821 is divided by 410.
1
Calculate the remainder when 3894 is divided by 66.
0
Calculate the remainder when 17377 is divided by 17370.
7
Calculate the remainder when 97323 is divided by 22.
17
What is the remainder when 8035 is divided by 1131?
118
What is the remainder when 9913 is divided by 620?
613
Calculate the remainder when 4848 is divided by 3826.
1022
What is the remainder when 1207531 is divided by 74?
73
What is the remainder when 697943 is divided by 24?
23
Calculate the remainder when 8188 is divided by 78.
76
What is the remainder when 263359 is divided by 80?
79
What is the remainder when 61493 is divided by 30724?
45
Calculate the remainder when 73909 is divided by 462.
451
Calculate the remainder when 7574 is divided by 1840.
214
Calculate the remainder when 8516 is divided by 879.
605
What is the remainder when 5431 is divided by 1837?
1757
What is the remainder when 234828 is divided by 31?
3
What is the remainder when 2835 is divided by 589?
479
What is the remainder when 385680 is divided by 48?
0
What is the remainder when 112659 is divided by 931?
8
What is the remainder when 223627 is divided by 209?
206
What is the remainder when 3343 is divided by 1119?
1105
What is the remainder when 2342 is divided by 138?
134
Calculate the remainder when 11393 is divided by 217.
109
Calculate the remainder when 6769 is divided by 316.
133
Calculate the remainder when 15387 is divided by 593.
562
Calculate the remainder when 84252 is divided by 42119.
14
Calculate the remainder when 394683 is divided by 394679.
4
Calculate the remainder when 158530 is divided by 152.
146
What is the remainder when 4874 is divided by 160?
74
Calculate the remainder when 34385 is divided by 1368.
185
Calculate the remainder when 2393853 is divided by 768.
765
What is the remainder when 412 is divided by 205?
2
Calculate the remainder when 472 is divided by 15.
7
Calculate the remainder when 17171 is divided by 19.
14
What is the remainder when 162529 is divided by 767?
692
What is the remainder when 3431 is divided by 1696?
39
Calculate the remainder when 2720 is divided by 124.
116
Calculate the remainder when 251877 is divided by 8.
5
Calculate the remainder when 11561 is divided by 320.
41
Calculate the remainder when 705 is divided by 213.
66
What is the remainder when 152790 is divided by 749?
743
What is the remainder when 170932 is divided by 67?
15
Calculate the remainder when 4210854 is divided by 988.
986
Calculate the remainder when 1844126 is divided by 42.
32
Calculate the remainder when 21088 is divided by 71.
1
What is the remainder when 4618 is divided by 3434?
1184
Calculate the remainder when 4886 is divided by 364.
154
Calculate the remainder when 50457 is divided by 17.
1
Calculate the remainder when 622907 is divided by 52.
51
Calculate the remainder when 6580 is divided by 732.
724
Calculate the remainder when 490020 is divided by 22.
14
What is the remainder when 712851 is divided by 129?
126
Calculate the remainder when 682 is divided by 24.
10
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o(c) = c**2 - 3*c + 6. Let w be o(u). Solve -6*d + w = -2*d for d.
4
Let l(y) = 7*y + 1. Let q be l(9). Let j = q - 37. Solve 0 = 5*a - 2 + j for a.
-5
Suppose 2*m - 36 = -32. Let t(r) = -r - 3. Let d be t(-3). Solve d = -m*f - 8 + 2 for f.
-3
Let o(d) = 2*d + 25. Let v be o(0). Let m = -32 + 52. Suppose t - 5 - m = -5*w, 0 = -2*t. Solve w*h + 10 - v = 0 for h.
3
Let j = -2 - -2. Let i = 5 + j. Suppose -i*y + 42 + 28 = 0. Solve 4*v - y = -2 for v.
3
Let d(y) = -y**3 + 10*y**2 - 12*y - 26. Let i be d(8). Solve -10*v = -i*v + 12 for v.
-3
Suppose 0 = -2*y + 7*y - 15. Let n = -3 + y. Suppose n = -r - 4, 72 = 3*q + q + 5*r. Solve 4*m - 3 = -q for m.
-5
Let i be (-6)/4 + (-21)/(-6). Solve -p = i - 3 for p.
1
Suppose 5*q + 2*h - 10 = 0, 2*q - 4*h - 4 = h. Suppose q*x + 2*a = -4, -2*x - 5*a = -0*a + 19. Solve -x*n + 0*n = 6 for n.
-2
Suppose -7*f = -5*f. Solve -x - 5 = -f*x for x.
-5
Suppose 3*x = 4*x + 7. Let i = x - -12. Solve -1 = h - i for h.
4
Suppose 3 = -4*b - 5*d + 28, -5*d + 25 = 3*b. Solve j + b = -4 for j.
-4
Let r = 10 - 6. Let l = r + -1. Solve -1 = -2*d - l for d.
-1
Let t = 0 - -2. Suppose -t*p = c - 8, -p - 4 = -c - 2*p. Solve -2*a + 0*a = c for a.
0
Suppose 0 = 3*q + 4*q. Solve q*g = -4*g + 20 for g.
5
Suppose 4*p = -5*y + 4 + 8, 3*y - 20 = 4*p. Suppose 0 = -i + 2. Suppose -a - i*f - 14 = -3*a, 0 = 4*a + 2*f - 10. Solve a*h = 3*h - y for h.
-4
Let g(l) = l. Let z(m) = 7*m + 1. Let t = 5 - 11. Let b(w) = t*g(w) + z(w). Let p be b(5). Solve -p = 3*k - 0 for k.
-2
Suppose -4*y + 8 = 4*u - 0, -3*y - u = -8. Solve -y*i - 12 = i for i.
-3
Suppose 23 = -3*n + 2*q, n + q = 2*q - 6. Let m be -1 - 2 - (n + 2). Solve -g + 5 = -m*g for g.
-1
Let c(a) = -a - 5. Let s be c(-5). Suppose 5*r - 3*r = s. Solve -6 = -3*w - r*w for w.
2
Let o be (-4)/10 - (-106)/(-10). Let b = o + 16. Solve 9 - 29 = b*x for x.
-4
Let b(a) be the second derivative of -a**5/20 - 5*a**4/12 + 3*a**2 + 9*a. Let v be b(-5). Solve 4*d = -v + 2 for d.
-1
Let a(h) = h**2 - 5*h + 6. Let m be a(4). Solve -4*l - m = -3*l for l.
-2
Let k be (-120)/21*(-14)/4. Solve -k = 3*f + 2*f for f.
-4
Suppose -6*d = d. Solve -2*u + 6*u + 8 = d for u.
-2
Let m(l) = l**3 - 2*l**2 - 4*l + 2. Let k be m(3). Let z be 18/(9/(-6)*k). Let o be (z/8)/(3/4). Solve o*n = -1 + 7 for n.
3
Suppose -2*g = s - 5*s + 42, 3*s - 44 = 4*g. Let t = s + -5. Solve -t*w = -0*w - 3 for w.
1
Let j(a) = -a**3 - 3*a**2 + 5*a + 6. Let w be j(-4). Suppose -2*x + 0*x + 2 = 0. Let k = w + x. Solve -3*z + k = -4*z for z.
-3
Let k = -3 + 3. Let n be 12 + -2 + k + 2. Solve -3*o - o - n = 0 for o.
-3
Let t(a) be the first derivative of a**4/4 + 7*a**3/3 + 8*a + 1. Let w be t(-7). Solve 0 = w*n - 4*n + 20 for n.
-5
Suppose 0 = 11*z - 8*z. Solve z = -k + 6*k - 10 for k.
2
Let h = 7 + -5. Let r(y) = 3*y**2 - 3*y. Let c be r(h). Let z = c + -6. Solve z*m = -2*m - 2 for m.
-1
Suppose 2*t + 3*y + 2 = -y, y = -t - 2. Let g = 5 + t. Suppose -4*c + 5*q + 33 = 0, 0*c + c + g*q = -8. Solve -2*u + 0*u + c = 0 for u.
1
Suppose -3*t + 33 = -9. Let v = 14 - t. Solve v*z = -4*z + 16 for z.
4
Let i(o) = -o**3 - 8*o**2 - o - 7. Let w be i(-8). Let x be w + -8*(-2)/4. Solve -x*c + 9 = -11 for c.
4
Let o(a) = 14*a - 6. Let j be o(-3). Let i be ((-9)/(-2))/((-18)/j). Solve -5*d - i = -2*d for d.
-4
Suppose 5*m - 4 = 46. Suppose -14*k + 16*k - 10 = 0. Solve 10 = -m*n + k*n for n.
-2
Let y(k) = k**2 + 20*k - 13. Let f be y(-21). Solve -l - 3*l = f for l.
-2
Suppose y - 3*k = -y + 15, -4*y = k - 9. Let z be 3 - ((-1 - 0) + y). Let j = 5 - z. Solve -j*m + 2*m = -4 for m.
2
Let v(p) = 2*p + 4. Let o(a) = 5*a + 9. Let u(k) = 3*o(k) - 7*v(k). Let j be u(2). Let f be 2/4*0 - -4. Solve 13 = f*z + j for z.
3
Suppose 0 = 2*d - 4*z - 24, 3*d - z = -3*z + 4. Solve 4*g + d = 12 for g.
2
Let r be (-1)/(-2)*(2 - -26)/7. Solve 0*s = r*s - 10 for s.
5
Let n(g) = -8*g - 29. Let l be n(-5). Solve 0 = -3*w - 4 - l for w.
-5
Suppose 4*f - 1 = 3. Suppose 3*h - 10 = -f. Solve -5*y - 7 = h for y.
-2
Let p = 2 + 3. Let y(d) = d**2 + 2*d + 6. Let r(t) = -3*t**2 - 6*t - 17. Let w(x) = 6*r(x) + 17*y(x). Let k be w(-2). Solve a = -k + p for a.
5
Suppose 0 = -0*i + 4*i - 24. Suppose 2*d = i*d. Suppose d = h - 3. Solve 3*b = -h - 3 for b.
-2
Let c(m) = m**3 + 6*m**2 - 8*m - 6. Let o be c(-7). Solve 3*g = o - 7 for g.
-2
Let y = 51 + -45. Solve 5*v - y = -16 for v.
-2
Let r = 1 + 1. Let l(g) = g**2 - 7*g + 9. Let i be l(6). Suppose 2*k = y + 39, i*y = 1 + 2. Solve -r*b + k = 2*b for b.
5
Let v be ((-4 - -4)/6)/(-2). Solve v*n = -5*n for n.
0
Let l(u) = -u**2 + 6*u - 7. Let z be l(3). Solve 0*g = g + z for g.
-2
Let x = -3 - -5. Suppose 4*s = s + 12. Suppose -2*t + s = -6. Solve 3 + t = x*g for g.
4
Let x be 0 + -1 - -2 - 0. Suppose i - 4 + x = 0. Solve u = i*u for u.
0
Let h = 2 + 2. Solve h*j - 19 = -3 for j.
4
Let m(c) = -c**3 - 3*c**2 - 2*c - 3. Let b be m(-3). Let s be 3 - (-2 - b/(-3)). Solve -s - 6 = 5*z for z.
-2
Let r(v) = -v + 13. Let h be r(9). Suppose h*x + 3*l - 8 - 46 = 0, -2*x = -2*l - 34. Solve -4*m - x = m for m.
-3
Suppose 4*a - 2 = -2*t, -5 = -a - 2*t + 3*t. Suppose a*q = -q. Solve -k + 0*k + 2 = q for k.
2
Let b(l) = l**3 - 6*l**2 + 6*l - 3. Let j be b(5). Let s be (-20)/(-4) - j*1. Suppose -i + 0*i = -2*m + 19, 0 = s*m + 5*i + 4. Solve 13 = 5*o - m for o.
4
Let s(p) = -11*p + 2*p + 10 + 0*p - p**2. Let o be s(-10). Solve t + 2 + 0 = o for t.
-2
Suppose -2*h + 9 - 1 = 0. Let a(p) = p + 1. Let y be a(0). Suppose 3 = 2*x + y. Solve i = x - h for i.
-3
Let u = -5 + 6. Suppose 0*b = 5*b - 25. Solve -n = -b + u for n.
4
Let n be 156/18 - (-3)/(27/(-6)). Solve n = j - 3*j for j.
-4
Suppose -26 + 11 = 5*z. Let y be (-1)/z*(-5 + 11). Solve y = -k + 5 for k.
3
Suppose 13 + 0 = p. Let b = 8 - 5. Suppose -j - p = -4*c, -b*c + c + 4*j = 4. Solve c*m = -0*m - 8 for m.
-2
Let v = -8 + 14. Solve 3*o - v = 6 for o.
4
Let q(s) = -s - 1. Let v be (1 - 0 - 4)/1. Let o be q(v). Suppose -o*c = -2 - 18. Solve -2 = 4*l - c for l.
2
Suppose -16 = -6*h + 2*h. Solve 4*g + h = 3*g for g.
-4
Let b(n) = n - 1 - 3 - 2*n + 1. Let r be b(-7). Solve -m + r*m = -6 for m.
-2
Let b(m) = m**3 - 8*m**2 + 8*m - 4. Let o be b(7). Solve -3*p - 12 = o for p.
-5
Suppose h - 11 = -4*m + 7, 5*m = 3*h + 31. Let b be 11/h - 2/4. Let x be 3/(b/(-2))*5. Solve i = x*i for i.
0
Let q = 3 + 0. Let w = -92 + 92. Solve i + w = -q for i.
-3
Let u(j) = -j**2 + 10*j + 2. Let x be u(9). Suppose -5*b = -x - 4. Solve 3*z + b = 6*z for z.
1
Suppose -o - 4 = -2*o. Let n(u) = 2*u - 9. Let a be n(7). Solve -a*w + 1 + o = 0 for w.
1
Let p = -1 + 0. Let j = 1 + p. Let m be 1 - (j + -1 - 0). Solve -f = m + 1 for f.
-3
Let d(g) = -4*g**2 - 13*g. Let k be d(-3). Suppose -c + 2*c = 3. Let f(l) = l**3 - 2*l**2 - 3*l. Let h be f(c). Solve h - 6 = -k*y for y.
2
Let g = -28 - -33. Solve 5*u - 5 = g for u.
2
Let k(y) = y - 8. Let s be k(10). Solve -8 + s = -2*x for x.
3
Let f(q) = q**2 - 4*q + 6. Let r be f(4). Solve 3*s + 15 = r*s for s.
5
Let o(b) = -b**2 + 2*b - 1. Let t be o(2). Let u be t - (3 + -4) - -2. Solve u = 2*n + 4 for n.
-1
Suppose 5*w + 0*n + 2*n = 6, -5*n - 10 = 0. Solve 6*d = w*d + 8 for d.
2
Suppose 0 = 21*k - 27*k. Suppose 0 = 4*f - 5*f + 2. Solve -l + k + f = 0 for l.
2
Suppose 7*q = 4*q. Solve q = 2*f - 3*f - 2 for f.
-2
Suppose 0*q = -3*r - 4*q + 45, -q - 60 = -4*r. Let w = 3 + 0. Suppose 0 = w*j - j. Solve j = 7*y - 2*y + r for y.
-3
Let q(i) = 6*i**3 - 7*i**2 - 6*i. Let h(a) = -5*a**3 + 6*a**2 + 5*a. Let b(j) = -5*h(j) - 4*q(j). Let w be b(3). Solve 2*f = w*f + 16 for f.
-4
Let p = -18 - -29. Suppose -3*o - 2*g = -17, 0 = -3*o + g + 3*g + p. Solve -3*u + 2*u - o = 0 for u.
-5
Let r(y) = 3*y**2 - y. Let k be r(-1). Solve m + k*m = 10 for m.
2
Suppose -6*q - 15 = -51. Solve 0 = 2*u - 0 - q for u.
3
Let i = 37 + -33. Solve -i*k = k - 25 for k.
5
Let p(q) = 3*q + 4. Suppose -2*v - 3*l + 0 = -5, 4*l + 24 = 5*v. Let f be p(v). Let y be (-2)/(-6) - f/(-6). Solve y = -h + 4*h for h.
1
Let o(f) = -4*f**2 - f + 2. Let m be o(2). Let b = -26 - m. Let g be (12/15)/((-4)/b). Solve z = -0 + g for z.
2
Let j(h) = -h**2 - 4. Suppose d - 15 = -2*d. Let n(y) = y**2 - y + 5. Let m(w) = d*n(w) + 6*j(w). Let g be m(-4). Solve -g*i - 12 = 3 for i.
-3
Let w = 3 - -2. Suppose -11 = 5*k - 36. Let q be w - (-2 - k/(-1)). Solve d
|
{
"pile_set_name": "DM Mathematics"
}
|
- -4.03. Let j = q - 9. Suppose -4*n - 2 = -3*n. Which is greater: j or n?
n
Let y be ((-18)/45)/((-3)/(-545)). Which is smaller: y or 3?
y
Suppose -8*k + 3*k - 51 = -4*s, -k + 5 = 0. Which is bigger: s or 11?
s
Suppose 3*q + 27 = -4*z, 2*z + 7 = 3*z - 2*q. Suppose -4 = 4*i, -7*i = 3*l - 4*i. Is z at most l?
True
Let o(h) = 2*h**2 + 13*h + 7. Let a be o(-6). Do a and -2/399 have the same value?
False
Let j = -25 - -31. Suppose -3*n + 111 = j. Suppose 5*h + n = -5*w, -2*h - 13 = 2*w + w. Is -9 at most as big as h?
True
Let d = 0.1583 + 0.1317. Is d greater than or equal to -8?
True
Let x be (-14)/4*(-16)/28. Suppose -8 = -0*w - x*w. Suppose -w*k - k = -5. Does k = 3?
False
Let g = 2628 - 2628.1. Let c(o) = 3*o - 3. Let v be c(-4). Which is greater: g or v?
g
Suppose -20 + 191 = l. Let f be ((-2)/l)/((-13)/(-78)). Is f > 1?
False
Suppose -19*v = 52*v. Are v and 50/73 non-equal?
True
Suppose 92 = -5*t - 2*m - 0*m, -t - 16 = -2*m. Let q be (-634)/t - (-6)/(-27). Let v be 10/3*6/q. Does 0 = v?
False
Let h = 48310/61 - 792. Let c = h + 431/122. Which is smaller: 4 or c?
c
Suppose -12 = w + b, 0 = -2*b + 5*b + 12. Let u = w - -12. Suppose -u*h + 36 = -4*x, 4*h + x - 17 - 9 = 0. Is 8 at least h?
True
Let u = -575 - -574. Do u and -0.166 have different values?
True
Let l be (-2)/(-47)*15/(-30). Let i = 183/235 - l. Is i greater than or equal to 0?
True
Let o = 107.2 + -82.6. Are o and -2/7 equal?
False
Let l = -0.188 + 0.17. Let j = 26.982 - l. Let y = j + -27.01. Which is smaller: -1/4 or y?
-1/4
Let f be (7 + -2)*16/60. Let d = -18 + -3. Let r = 21 + d. Is r smaller than f?
True
Suppose 13*w - 19*w - 114 = 0. Let p(t) = -t**2 - 20*t - 25. Let z be p(w). Let a = -8 - -1. Is a greater than or equal to z?
False
Let k(q) = q**2 + 11*q + 14. Let y be k(-1). Which is smaller: -476 or y?
-476
Let t = -25 + 10. Which is smaller: 1 or t?
t
Let k = -0.607 + 0.85. Let i = 0.043 - k. Let a = -925/11 + 84. Is a < i?
False
Let g(n) = n**3 - 6*n**2 + 4*n - 1. Let h be g(6). Let w = -18 + h. Suppose 8*x - 6 = w*x. Which is smaller: x or -0.07?
-0.07
Let h be 6/15 - 68/20. Let a = h - -16. Do 27/2 and a have the same value?
False
Let v be ((-6)/(-18))/((-46)/3). Let m = 343/92 - v. Are m and 3 non-equal?
True
Suppose -3*c - 2*q = -5*c + 234, -c = 5*q - 135. Which is greater: 121 or c?
121
Let h = 1717/910 + 3912/65. Let o = h - 127/2. Which is bigger: -2 or o?
o
Let c be -33*((-2)/1 + 1)/(-1). Let f = c + 33. Which is smaller: 4 or f?
f
Let r be 0 + 2 - (-2 - 9). Let x = -41 - -87. Suppose 2*i + 4*t = x, 0 = -i + 2*i + 4*t - 33. Do r and i have the same value?
True
Let p = -0.6 - 7.4. Let j = 129 + -127. Which is smaller: j or p?
p
Let k = 10 + -12. Let c = 115 + -94.2. Let r = c + -21. Which is bigger: k or r?
r
Let m be 12/(-24) - (-3 + 1/(-2)). Which is greater: 4 or m?
4
Suppose -2*b = -61 + 15. Suppose 93 = -4*c + s, -4*c - 60 = s + b. Is -22 at least c?
True
Let n be (-4 - (-68)/4)/(2/5). Let v = -33 + n. Is v at least 0.2?
False
Suppose 0 - 12 = -4*t. Suppose -t*j + j = -24. Suppose 6 = -3*a + 3*s, -5*s + 2*s + j = 0. Is a less than 4/7?
False
Let u = 1 + -1.1. Let j = -21.7 - -22. Let y = j - 0.42. Is u greater than y?
True
Let o = -13837/45 - -2132/9. Let j = o - -71. Which is smaller: j or 3.4?
j
Let q be 26558/(-686) + 2/(-7). Which is greater: q or 1/2?
1/2
Let k = -245 - -245.99. Let g = -0.9 + k. Which is smaller: -0.1 or g?
-0.1
Let v be -1 - ((-3 - -1) + -1). Suppose -3*k + v = -k. Suppose 0 = 2*g - 11*g + 27. Do k and g have different values?
True
Let j(b) = -17*b - 38. Let v be j(-6). Let s be v/(-44) - 2 - (-4 + 0). Is -3/7 greater than or equal to s?
False
Let r = 202/13 + -10191/650. Is 0 not equal to r?
True
Suppose 2*c = m + 864, -3*c - 4284 = 5*m - c. Which is greater: m or -857?
-857
Let j be 1 + 207 + 6 + 3 + -14. Is 205 at least as big as j?
True
Suppose 2*t = v - 4, 4*t + t - 5*v + 20 = 0. Suppose -4*g = 5*c - 9, t = -2*c + 4*g - 3*g + 1. Is 2/201 at most as big as c?
True
Let b = -36.9 - -19.74. Let n = b - -17. Let u = -0.14 + n. Which is smaller: -1 or u?
-1
Let d = -49.82 + 33.21. Let u = d - 0.39. Does u = 1?
False
Let t = 8 + -7.7. Let s = -36 - -17. Let p = s + 22. Which is bigger: p or t?
p
Suppose -2*n = 5*t - 47, -4*n - 21 = 2*t - 75. Let w = -1 - n. Let f be -2*(w/8 - -2). Which is smaller: f or 1/8?
f
Let k = 7 + -4. Suppose -k*p + 37 + 2 = 0. Is 13 less than p?
False
Suppose -5*f = -2*o + 204, 4*o - 2*o = 2*f + 84. Is -35 at most f?
False
Let t = 46 + 297. Suppose t*v + 15 = 346*v. Suppose -11 - 1 = 4*y, -2*b - y + 9 = 0. Which is greater: b or v?
b
Let i = 775 + -3279/4. Let d = 45 + i. Which is smaller: -6 or d?
-6
Suppose 5*d - 4 = d. Let x = -129/4 + 32. Let l = x + 2. Is l greater than d?
True
Let y(i) = 10*i**3 + 1. Let t be y(1). Suppose 14*u - 13 + 223 = 0. Let c = u + t. Is c < -5?
False
Let j be 2/(-3) + (-62)/6. Let v = j + 13. Which is bigger: v or 1?
v
Let d be (-2 - 4/(-3))*306/6. Which is bigger: d or -33?
-33
Let g be 1 - (3 + (-5176059)/(-73593)). Let b = g + 2/8177. Let r = 3677/51 + b. Which is smaller: 1 or r?
r
Suppose -15*g - 118 + 748 = -45*g. Suppose 4 = 4*c + 2*i + 98, 2*c + 2*i = -48. Which is bigger: g or c?
g
Let d be (-3)/2*(-3043)/(-51). Let b = 93 + d. Is b > 0.1?
True
Let n be (-9)/((-9)/(-2)) - -4. Let y(u) = -14*u. Let v be y(-1). Let l be (-3 - v/(-4))*n. Which is bigger: 2/23 or l?
l
Let j(i) = i**2 + 6*i - 3. Let d be j(-6). Let g be (-72)/(-45) - (-6)/15. Let x be (g/(d - -1))/3. Are x and 0 unequal?
True
Let v = -28.5 + 29. Let x = -0.016 + 0.016. Does x = v?
False
Let g be 2/(-2) + -3 + 9/1. Let p = 4 - -1. Suppose -p*r - 3*u + 40 = 0, -g*r = -6*r + u. Is 26/5 equal to r?
False
Let o(m) be the first derivative of 1/3*m**3 + 5*m + 3*m**2 + 5. Let i be o(-4). Is i less than or equal to 1/2?
True
Let i = 5 + -4.91. Let v = 0.91 + i. Let f = -17 - -11. Is v >= f?
True
Let g = 6302.1 - 6302. Let i(a) = a + 6. Let z be i(-6). Suppose 3*r + 10 - 1 = z. Is r < g?
True
Let z be 1 + (0 + 1 - 4). Let l = -2344/91 + 176/7. Which is greater: l or z?
l
Let n be (-1)/(-3)*2 - 1. Suppose 8*l = 21 + 171. Let j be 6/(-2) + 16/l*6. Which is smaller: n or j?
n
Let u = 3 + 0. Suppose 2*j - 8 = 2*p, -13*p + 9*p + 2*j - 4 = 0. Is p equal to u?
False
Suppose 5*o = 213 - 618. Is o smaller than -82?
False
Let g be 6*(-3)/(-12)*-50. Let p = g - -65. Which is smaller: -11 or p?
-11
Suppose -4*b + 11*b - 28 = 0. Let g be ((-7)/2)/((-2)/(-4)). Let q be g/5 - (-2)/2. Which is smaller: q or b?
q
Let r = 69 - 61. Suppose 100 = -r*j + 12. Let v = 2 - 2.2. Which is smaller: j or v?
j
Suppose -4*v + 0 + 29 = -3*g, 0 = 3*v - 2*g - 23. Let l be 1/(-2)*(v - 11). Suppose l = 2*f - 0*f. Is f > -1/14?
True
Let a be 7/(-6)*854/(-196). Let n = 1/160 + 1117/480. Let d = a - n. Is d less than or equal to 0.1?
False
Let l be (1 - 0)/((-6)/150). Let h = 34 + l. Which is smaller: h or 7?
7
Let y = -33 + 36. Suppose 24 - 9 = -y*j. Let t = 5 - j. Is 11 at least as big as t?
True
Suppose -25 = 7*c - 2*c + 4*v, -5 = v. Let y = -9 - 5. Let z = y + 68/5. Is c smaller than z?
True
Let w be 45/25*(0 + 5). Which is greater: -0.1 or w?
w
Suppose 3*n + 12 = 4*c - 0*n, 0 = -4*c - 2*n + 12. Let v be 2/(-12)*2*(c - 3). Is v less than or equal to 1/76?
True
Let u(b) = -b**2 - 2*b - 1. Let r(i) be the third derivative of -i**5/60 + 5*i**4/12 + 4*i**2. Let f be r(10). Let y be u(f). Is 0 >= y?
True
Let j be 7/(-22)*-3 - 3/2. Which is greater: j or -2?
j
Suppose -34*d + 1015 = -1501. Which is greater: d or 71?
d
Suppose 10 + 46 = -14*p. Is -9 at most p?
True
Let u(x) = x**3 - 32*x**2 + 50*x + 263. Let j be u(30). Is j <= -46?
False
Suppose -b + 5 = -2*y, -3*b + 2*y - 2 + 17 = 0. Suppose 0 = 5*u + 4*d - 2*d - b, -d + 6 = -u. Does u = 2/59?
False
Let q = -1264 - -1294.8. Which is smaller: -0.2 or q?
-0.2
Let a be (5/15)/(6/(-1)). Let c = 214 - 213. Which is greater: c or a?
c
Let t = 19385 + -97614/5. Which is smaller: -137 or t?
t
Let m be 5214/(-352)*(-2)/3. Which is bigger: 11 or m?
11
Let d = -10 - -25. Let o = d + -9. Let y = 109 - 108.9. Is y > o?
False
Let r be 64/60 - (-4)/(-10). Let n = -55 + 32. Let d = n + 27. Do r and d have different values?
True
Suppose 0*v = -5*v + 120. Suppose t + v = -t. Let i be (-8)/t*6*1. Is 3 <= i?
True
Let g(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
f, s, 5?
f
Let h = 0.03 - -0.27. Let m = 5 + -1. Let c = m - 3.9. What is the nearest to -1 in h, c, -0.3?
-0.3
Let h = 2.2 + -2. Let t = 46 - 51. Which is the closest to h? (a) t (b) 2 (c) -2/11
c
Let l = 9239/31 + -298. Which is the closest to l? (a) 5 (b) -3 (c) -2
c
Let p = 1 - 6. Let o = -1 + -1. Let g = -1.6 - o. Which is the nearest to -2/3? (a) -2/3 (b) p (c) g
a
Let n be 1 - 1 - (-2)/(-7). Which is the closest to -0.1? (a) n (b) -0.2 (c) 0.4
b
Let k = 0.1 - 0. Let g = -390.9 + 391. Which is the nearest to k? (a) 3 (b) 0.3 (c) g
c
Suppose -12 = 2*w - 4, 3*u + 2*w = 7. Which is the nearest to 0.1? (a) -0.2 (b) u (c) -3
a
Let i be 396/(-90) - (6/(-5))/(-2). What is the closest to 0 in -3, 0.3, i?
0.3
Let l = 9 - 6. Let q = l + -2.97. Let s = -4.03 + q. What is the nearest to 2 in 1/5, 1/3, s?
1/3
Let m be 60/(-2)*3*2/9. What is the nearest to m in 5, 0.1, -4/3?
-4/3
Let q = 1 - -3. Let f = 7 - q. Let x = 0.3 - -0.2. What is the closest to 1 in f, x, -3?
x
Let s = 14.9 + -15. What is the closest to 0 in 2/3, s, 1?
s
Let m = 119/6 - 61/3. Let h = 7 + -3. What is the closest to 0 in 3, h, m?
m
Let x = 21 - 24. What is the nearest to -1 in x, 0.5, 4/9?
4/9
Suppose r = -4*y - 0*r - 5, -5*y = -5*r. Which is the closest to 0.2? (a) 5 (b) y (c) -2
b
Suppose 3*r + 25 = -5*v, -25 = 5*r - 0*r. Let h = -1.5 - -1. Which is the closest to v? (a) h (b) 1/2 (c) 2/5
a
Let g = -1.2 - -1.6. Suppose -j = 3*j. Which is the closest to j? (a) g (b) -1 (c) -4/9
a
Suppose 0 = -8*z + 10*z - 10. Let l = -2.5 - -3. What is the nearest to 1/2 in 1, l, z?
l
Let l = 20 + -24. What is the nearest to 1/5 in -0.04, 4, l?
-0.04
Suppose -19 = -8*u + 3*u + 2*k, 10 = 2*u - 2*k. Let q = -5 - -6.9. Let r = -2 + q. What is the nearest to -0.1 in r, u, 4?
r
Let b = -3.7 + 0.7. Let i = -4.4 - -4. What is the nearest to 1 in i, -0.2, b?
-0.2
Let g = -3/35 + -17/210. Let z = 18/5 + -116/35. Which is the closest to z? (a) -2 (b) 4 (c) g
c
Let s be (-1)/1*(-1)/(-7). Let i = 3 + -1. Let o = i + -1. Which is the closest to o? (a) 0 (b) -1/6 (c) s
a
Let q = 1/6 - -5/42. Let p be (-2 - -1) + 11/9. Let r = 536 - 536.3. Which is the nearest to -1? (a) p (b) q (c) r
c
Let p = 84 + -84. What is the nearest to p in -0.01, 1/5, -3/4?
-0.01
Let t = 88 - 88.4. Let n = -2.4 + 0.4. Which is the nearest to 1/4? (a) n (b) -3 (c) t
c
Suppose -o = 2*o + 3. Let q be ((-3)/(-11))/(-3)*-2. Which is the nearest to 1? (a) q (b) o (c) 4
a
Let w = 7 + -7. Which is the closest to -1/2? (a) 2 (b) w (c) 3
b
Let b = -0.17 - -0.24. What is the closest to b in -5, 0.5, 0.4?
0.4
Let z = 1.3 - 0.3. Let f = -126.7 - -133. Let o = f - 6. What is the nearest to z in -2, 0.2, o?
o
Suppose -3*f + u + 2*u + 3 = 0, -4*u = 0. What is the closest to f in 0.4, -0.2, -0.5?
0.4
Let l(p) = -2*p + 2. Let c be l(1). What is the nearest to c in 3, -0.1, -2/13?
-0.1
Let h be (-2 + 19/10)/(8/30). Which is the closest to 3/5? (a) 1 (b) 0.5 (c) h
b
Let w be 2/1 + 5/(-50)*14. What is the closest to w in 0.3, 3/4, 0.1?
3/4
Let k = -3 + 2. Let r = 1.4 + k. Let f = 41/4 + -279/28. What is the closest to f in -2/11, -2/9, r?
r
Let l be (2/76)/((-6)/(-24)). Let n = -25/57 + l. Which is the closest to 0? (a) -5 (b) 0.2 (c) n
b
Let v = 16/49 + -2/49. Let h = 4 - 4. Let t = h + -4. Which is the nearest to 1/2? (a) t (b) -0.1 (c) v
c
Let v be (-2)/(-8) - 2/4. Suppose f + 4*f - 6 = 3*t, -4*t - 8 = 2*f. What is the nearest to v in f, -0.2, -2/3?
-0.2
Let r = 43.1 + -43. What is the nearest to 1/3 in -5, r, -0.5?
r
Let q = -190 - -99. Let v = -640/7 - q. What is the nearest to 2/7 in v, 0, -2?
0
Let g be (-84)/(-10)*40/16. Suppose -3*j - 9 + g = 0. What is the closest to 2 in j, -4, -2/5?
j
Let m be 1*2 + 0/(-2). Let z be m/3*(1 + 5). Suppose 7 + 5 = -3*p. Which is the nearest to 0.1? (a) z (b) 2 (c) p
b
Let g = 17.2 + -16.7. Which is the nearest to -0.1? (a) -23 (b) g (c) 0
c
Let s be 6/(-4)*(-2)/21. Let u = -2/459 + 2303/1836. Which is the closest to 0.2? (a) s (b) u (c) 5
a
Let y = -152/219 - -2/73. Let f = -17.9 - 6.1. Let h = f + 24. What is the closest to h in 5, 1/10, y?
1/10
Let f = 81.7 + -82. Let o = -2.2 - -2. Let n = -4 + 3. Which is the nearest to 1/4? (a) n (b) o (c) f
b
Let r = 21/2 + -43/4. What is the nearest to r in 4, -2/15, -2/11?
-2/11
Let c = 61 + -60. What is the nearest to c in -0.5, 0.5, -4?
0.5
Let p = 6 - 6. Let d be ((-4)/(-10))/(3/(-15)). Which is the closest to d? (a) 0.5 (b) p (c) -1
c
Let n be ((-2)/3)/(4/12). Let j = 4 + n. Let c = -68 - -68. What is the closest to c in j, -4, 1?
1
Let m = 124/3 - 41. Let c = -2 + -3. Let j be ((-36)/(-5))/3 - 2. What is the nearest to j in c, 2/9, m?
m
Let z = 1 + 1. What is the nearest to 0 in -0.2, z, -0.5?
-0.2
Let u = -0.2 + -0.8. Let b = 2.3 + -2. Let s = 1/30 - -3/10. What is the closest to u in s, b, 1/2?
b
Let f = 6 - 10. Let l = 0.34 - -0.66. Let k = 3.92 - -0.08. Which is the closest to l? (a) 0.5 (b) k (c) f
a
Let y = -2.6 + 2.1. Which is the closest to 0.1? (a) 0.06 (b) -1/5 (c) y
a
Let k = 241 + -961/4. Let o = -8 - -5. Let p = -3.1 - o. Which is the nearest to 2/7? (a) p (b) 0.3 (c) k
b
Suppose 9*t - 8*t + 2*z = -8, -3*t + 5*z = -20. Let j be (1*-3)/(-12)*-1. Which is the nearest to t? (a) -1/3 (b) 0.1 (c) j
b
Suppose 4*k + 4*y = -0*k + 4, 0 = -4*k + 2*y - 14. Let o be k/7 - 2/(-7). Let i = 65 - 65. Which is the closest to o? (a) 1 (b) 2 (c) i
c
Let p be 765/55 + (-2)/(-22). Which is the closest to 0.1? (a) 4 (b) 0.1 (c) p
b
Let d be ((-3)/2)/(4/8). What is the nearest to -0.1 in d, -1/10, 1?
-1/10
Let l = -6 + 8. Let o = -773/582 + -1/194. Let i = -3 - -7. What is the nearest to l in i, o, -2?
i
Let m = 0.09 - 1.09. What is the nearest to m in -0.5, -3/7, 9?
-0.5
Let i = 0.4 - 0. Let n = -2 + 1. Which is the closest to n? (a) 4/5 (b) -1/2 (c) i
b
Let j = 3091/3 - 994. Let l = j + -37. Let m be 2/7 - (-4)/35. Which is the closest to l? (a) -5 (b) 5 (c) m
c
Let o = 0.016 - -0.984. What is the nearest to o in 7, -4, 5?
5
Suppose 0 = -5*y + 3*i + 25, -5*i = 3*y - 4*i - 1. Let v = 0.03 - 3.03. Let z be (-4)/(1 - -1) - -2. What is the nearest to 0.1 in y, z, v?
z
Suppose -3*j = -3, 4*n - 5*j + j + 420 = 0. Let k be 36/n - 2/(-4). What is the nearest to -2 in 0.4, 5, k?
k
Let l = -2 + 4. Which is the closest to l? (a) 0 (b) 5 (c) -0.5
a
Let h = -958/1197 + 14/19. Let f = h - 5/63. What is the closest to -0.2 in f, 0.03, -1/2?
f
Let s = 0.2 + -0.2. Let d = -4.8 + 4.8. Which is the closest to d? (a) 1/4 (b) s (c) -0.3
b
Let k(g) = g**3 - 4*g**2 + 3*g + 2. Let n be k(3). Let x(c) = c**3 - 6*c**2 - 2. Suppose -9 = -3*z + 9. Let a be x(z). What is the closest to 2 in n, -2/7, a?
n
Let v = -0.008 - 3.092. Let n = v + 3. What is the nearest to 1/2 in -2, -4/7, n?
n
Let g = 2/13 - 19/39. Let o = 0.56 + -0.06. Which is the closest to g? (a) o (b) 3 (c) -0.4
c
Let s(r) = -r**3 - 7*r**2 - 7*r - 9. Let y be s(-6). Let v = 241/5 + -48. Which is the nearest to v? (a) y (b) 0.1 (c) 0
b
Let c be (-25)/(-4) + 3/(-12). Let g = c + -7. What is the closest to g in -0.5, -0.1, 1/4?
-0.5
Let l = 0.02 + 0.28. Which is the closest to 0? (a) 2/3 (b) l (c) -2/11
c
Let n be -6*((-16)/(-12))/4. Let o be (-1)/n + 121/(-22). Which is the closest to -2? (a) -1/2 (b) 2/9 (c) o
a
Suppose 2*o = -18 + 2. Let n be (69/o)/3 + 3. Which is the closest to 1? (a) 0 (b) 4 (c) n
c
Let o(c) = 28*c**3 - 2*c**2 + c + 2. Let m be o(-1). What is the nearest to -2 in -1, m, 3?
-1
Let m = 2.7 - -0.5. Let w = m + 0.8. Let g = 53 + -54. Which is the nearest to 0? (a) g (b) w (c) -1/4
c
Let q = 0.6 + -0.1. Let v = q - 0.3. Suppose 0 = -24*m + 21*m + 6. Which is the closest to v? (a) m (b) -1 (c) 0
c
Suppose -5*v + 2*v = 0. What is the nearest to 2/3 in -4, v, -0.2?
v
Let p = 0.3 + 0.2. Let z(k) = -k + 4. Suppose 3*f - 7*f = -24. Let x be z(f). Which is the nearest to 2/3? (a) 0.4 (b) x (c) p
c
Let v = 49/4 + -257/20. Let w be 14/(-8) + (-5)/5*-2. Which is the nearest to w? (a) v (b) 1 (c) 5
b
Let x = -26.4 - -26. Which is the closest to 0? (a) x (b) 2 (c) -1/2
a
Let c be (-712)/4970 - (-10)/(-25). Let z = -2/71 + c. What is the closest to -1 in 0.2, -1, z?
-1
Let n be ((-8)/126)/((-2)/(-3)). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
53?
3, 7, 29, 439
List the prime factors of 21871340.
2, 5, 163, 6709
What are the prime factors of 169955?
5, 19, 1789
List the prime factors of 1041474.
2, 3, 7, 137, 181
List the prime factors of 763423.
763423
List the prime factors of 22925757.
3, 317, 24107
What are the prime factors of 114614?
2, 17, 3371
What are the prime factors of 350796?
2, 3, 23, 31, 41
What are the prime factors of 1254987?
3, 53, 877
What are the prime factors of 173927?
13, 17, 787
What are the prime factors of 20408352?
2, 3, 212587
What are the prime factors of 26388349?
13, 2029873
List the prime factors of 7726916.
2, 1931729
What are the prime factors of 16160270?
2, 5, 7, 230861
List the prime factors of 116172.
2, 3, 7, 461
What are the prime factors of 7081694?
2, 269, 13163
List the prime factors of 44100.
2, 3, 5, 7
List the prime factors of 437759.
7, 23, 2719
What are the prime factors of 2125906?
2, 73, 14561
List the prime factors of 5567119.
5567119
List the prime factors of 2374197.
3, 7, 31, 521
List the prime factors of 149334.
2, 3, 24889
What are the prime factors of 328862?
2, 164431
List the prime factors of 1287836.
2, 11, 29269
List the prime factors of 555159.
3, 11, 16823
What are the prime factors of 16371027?
3, 19, 95737
List the prime factors of 39469.
29, 1361
What are the prime factors of 1105603?
1105603
List the prime factors of 3965324.
2, 11, 90121
What are the prime factors of 1762437?
3, 311, 1889
What are the prime factors of 36509293?
61, 83, 7211
What are the prime factors of 18239969?
11, 107, 15497
What are the prime factors of 311157?
3, 7, 11, 449
List the prime factors of 5399351.
5399351
What are the prime factors of 19142430?
2, 3, 5, 638081
List the prime factors of 3018305.
5, 223, 2707
List the prime factors of 58624.
2, 229
List the prime factors of 606393.
3, 37, 607
What are the prime factors of 30303?
3, 7, 13, 37
What are the prime factors of 423484?
2, 105871
List the prime factors of 18614.
2, 41, 227
List the prime factors of 2171132.
2, 542783
What are the prime factors of 547844?
2, 11, 12451
What are the prime factors of 197362?
2, 11, 8971
List the prime factors of 767471.
767471
What are the prime factors of 3139817?
43, 73019
What are the prime factors of 1294716?
2, 3, 23, 4691
What are the prime factors of 3288074?
2, 113, 14549
List the prime factors of 2380901.
17, 140053
What are the prime factors of 2944578?
2, 3, 7, 13, 5393
What are the prime factors of 45608?
2, 5701
List the prime factors of 2566633.
2566633
List the prime factors of 224124.
2, 3, 19, 983
What are the prime factors of 9124?
2, 2281
What are the prime factors of 106104?
2, 3, 4421
List the prime factors of 187258.
2, 93629
List the prime factors of 103136.
2, 11, 293
List the prime factors of 323115.
3, 5, 13, 1657
What are the prime factors of 14340907?
7, 223, 9187
What are the prime factors of 18319928?
2, 11, 409, 509
List the prime factors of 408237.
3, 41, 3319
What are the prime factors of 8292903?
3, 23, 31, 3877
What are the prime factors of 774937?
709, 1093
What are the prime factors of 129247?
307, 421
What are the prime factors of 11658440?
2, 5, 223, 1307
What are the prime factors of 25375474?
2, 41, 309457
List the prime factors of 452273.
103, 4391
List the prime factors of 1621668.
2, 3, 67, 2017
What are the prime factors of 170376?
2, 3, 31, 229
List the prime factors of 758034.
2, 3, 23, 1831
What are the prime factors of 5294373?
3, 7, 61, 4133
List the prime factors of 774778.
2, 23, 16843
List the prime factors of 54617.
54617
List the prime factors of 2553074.
2, 37, 34501
List the prime factors of 3976380.
2, 3, 5, 22091
What are the prime factors of 423367?
7, 31, 1951
What are the prime factors of 365200?
2, 5, 11, 83
List the prime factors of 2189291.
13, 83, 2029
List the prime factors of 97624.
2, 12203
What are the prime factors of 610039?
41, 14879
What are the prime factors of 3727808?
2, 7, 53, 157
List the prime factors of 299202.
2, 3, 47, 1061
List the prime factors of 4908911.
7, 383, 1831
List the prime factors of 119336.
2, 7, 2131
What are the prime factors of 838086?
2, 3, 139681
List the prime factors of 3649551.
3, 827, 1471
List the prime factors of 17240902.
2, 7, 89, 101, 137
What are the prime factors of 206231?
271, 761
What are the prime factors of 23167109?
7, 613, 5399
List the prime factors of 2340152.
2, 17, 17207
List the prime factors of 3054.
2, 3, 509
What are the prime factors of 1110550?
2, 5, 7, 19, 167
List the prime factors of 16592775.
3, 5, 23, 9619
What are the prime factors of 1936039?
7, 39511
List the prime factors of 17157983.
17157983
List the prime factors of 6609882.
2, 3, 31, 35537
What are the prime factors of 223697?
223697
What are the prime factors of 1854290?
2, 5, 185429
List the prime factors of 2837290.
2, 5, 151, 1879
What are the prime factors of 447624?
2, 3, 6217
What are the prime factors of 997565?
5, 131, 1523
List the prime factors of 9600665.
5, 17, 179, 631
List the prime factors of 350029.
350029
List the prime factors of 7903768.
2, 987971
List the prime factors of 5350642.
2, 11, 107, 2273
List the prime factors of 1596075.
3, 5, 13, 1637
What are the prime factors of 948724?
2, 7, 31, 1093
List the prime factors of 555572.
2, 138893
List the prime factors of 1650204.
2, 3, 23, 1993
List the prime factors of 6038308.
2, 67, 22531
What are the prime factors of 1003129?
31, 32359
List the prime factors of 2654923.
137, 19379
What are the prime factors of 111937?
7, 15991
What are the prime factors of 16351952?
2, 281, 3637
List the prime factors of 341324.
2, 85331
What are the prime factors of 2111497?
2111497
What are the prime factors of 3700405?
5, 199, 3719
List the prime factors of 2448521.
131, 18691
List the prime factors of 364041.
3, 97, 139
List the prime factors of 9773757.
3, 7, 51713
List the prime factors of 2050286.
2, 7, 146449
List the prime factors of 566054.
2, 283027
What are the prime factors of 92432?
2, 53, 109
List the prime factors of 16878862.
2, 7, 11, 13, 8431
List the prime factors of 6026988.
2, 3, 11, 45659
List the prime factors of 32095750.
2, 5, 19, 29, 233
List the prime factors of 9346390.
2, 5, 934639
What are the prime factors of 752263?
752263
What are the prime factors of 1140122?
2, 17, 33533
List the prime factors of 3034918.
2, 499, 3041
List the prime factors of 2515250.
2, 5, 10061
What are the prime factors of 11220523?
61, 183943
List the prime factors of 18775.
5, 751
What are the prime factors of 1494376?
2, 13, 14369
List the prime factors of 6841696.
2, 47, 4549
What are the prime factors of 20543736?
2, 3, 855989
What are the prime factors of 1125380?
2, 5, 56269
What are the prime factors of 14397049?
14397049
List the prime factors of 1047463.
71, 14753
What are the prime factors of 89809?
89809
List the prime factors of 10623237.
3, 3541079
List the prime factors of 4456782.
2, 3, 11, 41, 61
What are the prime factors of 245598?
2, 3, 40933
List the prime factors of 3810304.
2, 61
What are the prime factors of 417898?
2, 13, 16073
What are the prime factors of 7695?
3, 5, 19
List the prime factors of 9402616.
2, 271, 4337
What are the prime factors of 1313345?
5, 11, 23879
What are the prime factors of 12769?
113
What are the prime factors of 5228780?
2, 5, 261439
List the prime factors of 11388008.
2, 37, 79, 487
What are the prime factors of 192302?
2, 11, 8741
What are the prime factors of 261439?
261439
List the prime factors of 3013131.
3, 11, 17, 41, 131
List the prime factors of 11988376.
2, 103, 14549
List the prime factors of 8833.
11, 73
What are the prime factors of 13419659?
11, 97, 12577
List the prime factors of 21394854.
2, 3, 13, 10159
What are the prime factors of 3003184?
2, 187699
What are the prime factors of 408814?
2, 7, 29201
List the prime factors of 1304366.
2, 7, 93169
List the prime factors of 13262447.
11, 43, 2549
List the prime factors of 214014.
2, 3, 53, 673
What are the prime factors of 344129?
43, 53, 151
List the prime factors of 18626941.
23, 197, 4111
What are the prime factors of 911146?
2, 455573
List the prime factors of 537237.
3, 59693
List the prime factors of 29002292.
2, 11, 383, 1721
What are the prime factors of 486466?
2,
|
{
"pile_set_name": "DM Mathematics"
}
|
olve -3*o + u*o + 2 = 0 for o.
2
Let s = -27 + 40. Let d be (-2)/7 + (-61)/7. Let n = s + d. Solve -3*l - 2 = n for l.
-2
Let g(n) = 4*n**3 - 44*n**2 - 44*n - 56. Let c(j) = j**3 - 11*j**2 - 11*j - 14. Let f(x) = -9*c(x) + 2*g(x). Let a be f(12). Solve a*z - 15 = -z for z.
5
Let r be (-2)/(-6) + 12/18. Let o(x) = 2*x**3 - x**2 + x - 1. Let y be o(r). Suppose b = -y + 4. Solve b*p - 8 + 23 = 0 for p.
-5
Let q(y) = -78*y + 159. Let g be q(2). Solve 18*a - g*a + 45 = 0 for a.
-3
Let v(c) = 56*c + 280. Let l be v(-5). Solve -a - 23 + 24 = l for a.
1
Let w(q) = -q + 11. Suppose -3*r + 35 = 5*d, -3*d + 16 = d. Let t be w(r). Solve -t*h - 9 = -3*h for h.
-3
Suppose 24 + 4 = 5*c - d, -5*c + 22 = d. Suppose 3*s + 16 = 4*o, -c*o = 3*s - 0*o - 20. Solve s*q - 3*q = -6 for q.
2
Let m(g) = -g**3 + g**2 + 1. Let p(z) = 2*z**3 - 13*z**2 - z + 7. Let y(h) = -m(h) - p(h). Suppose 5*t - 27 = 33. Let o be y(t). Solve -o*j + 9 = -7*j for j.
-3
Let m = -15 - -19. Suppose -f - m = -6. Suppose -k = -f*g - 14, -3*g - 9 - 2 = k. Solve 0 = -r + 5*r - k for r.
1
Suppose 10*b - 23*b = -52. Let y(a) = -2*a**2 + 6*a + 8. Let n be y(b). Solve n = 3*v - 5*v - 2 for v.
-1
Let t(f) = -f**3 + 31*f**2 - 27*f - 78. Let b be t(30). Solve -b*u + 15*u + 6 = 0 for u.
-2
Let b = -6 + 9. Let j = b + -3. Suppose -3*g = -0*g - 3*u - 9, 2*g + 3*u + 9 = j. Solve -4 = -p - g*p for p.
4
Let j(u) = u**3 + u**2 - 5*u + 3. Let k = -55 + 52. Let o be j(k). Solve 0 = -o*b - 4*b + 4 for b.
1
Suppose 10 = 54*a - 152. Solve a*l - 8*l + 5 = 0 for l.
1
Let j be ((-6)/15)/(10/(-50)). Solve 0 = 2*u - j - 4 for u.
3
Let s(u) = 2*u**3 - 4*u**2 + 2*u. Let w be (-2)/(-3) + 12/9. Let z be s(w). Suppose -b + 4*y = -10, 18*b = 23*b - 3*y - 16. Solve -g = -b*g + z for g.
4
Suppose -5*h = 5*s - 15, -h + 2 = 3*s - 11. Suppose s = j + 3. Let q = j + 2. Solve r = -0 + q for r.
4
Suppose -2*v + 3*v = 12. Suppose -5*n + 3*j - 6 = -7*n, -12 = -4*n + 3*j. Suppose v = n*g - 0. Solve 3*f + 5 = g*f for f.
5
Let z = -43 - -46. Suppose -2 = -g, -30 = -5*b + z*g + 2*g. Solve 0 = -5*u + b + 17 for u.
5
Suppose -4*v + 9*v - 30 = 0. Suppose v - 4 = n. Solve t - n = 2 for t.
4
Suppose 5*z - 15 = 3*a - 5*a, -a - z + 3 = 0. Let b be a/(-1*(-1 - 1)). Solve b = -h + 1 - 3 for h.
-2
Let x be 15*(6/(-9) + 1). Solve 5*m - x = -0 for m.
1
Suppose -22*z + 8 = -18*z. Suppose 0 = -3*c - c. Solve 2*x - x + z = c for x.
-2
Let g(m) = -m**3 + 6*m**2 - 147*m + 906. Let u be g(6). Solve -4*n = -16*n - u for n.
-2
Suppose 2*w - 13 + 3 = 0, 3*w + 3 = 3*x. Suppose x*m = 4*m + 8. Let d be 10/(-4)*(0 - 4). Solve -d = -2*h - m for h.
3
Let h(a) = -a**3 + 3*a**2 - 2*a + 1. Let f be h(2). Suppose -f = -4*o + 11. Suppose -d + 5*v = 5, v = -o*d - 0*d + 65. Solve 5*s + 0 - d = 0 for s.
4
Suppose -3*s + 3 + 15 = 0. Suppose -5*t + 3*i = -22, t - i = -3*i - s. Solve -t*a + 3 = 11 for a.
-4
Let q = 60 + -58. Let h be (6/4 + -1)*6. Solve 0 = q*v - 7 - h for v.
5
Let h(v) = v + 2. Let p be h(-2). Suppose 3*y = 12, -2*y - 4 = 4*x - p*y. Let u = x - -6. Solve -8 + u = s for s.
-5
Let v(o) = 2*o**2 + 55*o + 149. Let p be v(-25). Solve 57 = -p*h + 5*h for h.
-3
Let k = 318 + -315. Solve 2*h - k + 5 = 0 for h.
-1
Let f be -15*(-5)/15*4. Solve 0 = -o - 4*o - f for o.
-4
Suppose -5*g = 23 - 28, -104 = -3*p + 4*g. Solve 19*n - p = 10*n for n.
4
Let k(c) = -c**3 - 14*c**2 + 14*c - 18. Let u be k(-15). Let x be 6 + u + 0 + 2. Solve x*g = 3*g + 10 for g.
5
Suppose 160 = 10*c - 20. Solve 21*f - c*f + 12 = 0 for f.
-4
Let z(j) = -3*j + 14. Suppose -p + 14 = 5*a, a = p + 3 + 1. Let h be z(a). Solve h*v - 8 = 9*v for v.
-2
Let b(d) = 5*d**2 + d**3 + 0*d**3 + 41*d + 17 - 45*d. Let y be (-2*4/16)/(-1)*-12. Let h be b(y). Solve 0 = -0*v + v + h for v.
-5
Let p = -23 - -38. Solve q + 2*q + p = 0 for q.
-5
Let t be ((-158)/(-158))/((-5)/6 - -1). Solve -t*w - 8 = -2*w for w.
-2
Let c(y) = 65*y**2 + 3*y + 2. Let w be c(-1). Solve 77*j - 26 = w*j for j.
2
Let j(q) = 4*q - 1. Let d be j(1). Let y = 9 - -5. Let r = -204 - -206. Solve r - y = d*i for i.
-4
Suppose 0 = 69*y - 8*y - 244. Solve -3*d - y - 5 = 0 for d.
-3
Let c = -40 - -44. Suppose z - 5*i + 3 + c = 0, -5*i + 4 = -2*z. Solve -z*n = -0*n - 15 for n.
5
Suppose -2*n - 280 = -308. Solve -5*v + 1 = -n for v.
3
Suppose -14*y - 453 = -523. Solve y*g = -g for g.
0
Let i(n) be the first derivative of -n**6/360 + n**5/60 + 10*n**3/3 + 9. Let a(z) be the third derivative of i(z). Let q be a(1). Solve -q = 4*f + 7 for f.
-2
Suppose z = -x - 5, -4*x - 3*z - 10 = -z. Let c = 51 - 46. Solve x = -0*p - c*p + 15 for p.
3
Suppose 5*h - 48 = h. Let w be (-7)/((-42)/18)*2/3. Solve w*n = -n - h for n.
-4
Let i(m) = -m + 15. Let g be i(9). Suppose 3*c - 5*d - g - 8 = 0, d = -3*c + 26. Solve -5*j + c = -12 for j.
4
Let r(s) = -4*s**2 - 5*s - 3. Let d(a) = 3*a**2 + 5*a + 4. Let k(x) = 5*d(x) + 4*r(x). Let y = -17 + 23. Let f be k(y). Solve -n - f = -2*n for n.
2
Suppose -2*a + 7*a - 10 = 0. Suppose -5*d = -4*d + 5*m - 28, -16 = -2*d - 2*m. Solve d*l - a = 4*l for l.
-2
Let o be (-2 - -5) + -4 - -3. Let k = o + 0. Suppose 3*t = 2*m - 19, 6*m - 33 = k*m + 5*t. Solve -x = -m*x for x.
0
Let m(j) = 4*j - 5. Let w be m(5). Let q be (-24)/(-14)*(-8 + w). Solve q = -2*b + 2 for b.
-5
Let s(q) = 3*q + 13. Let h(y) = y + 7. Let n(u) = 5*h(u) - 2*s(u). Let b be n(0). Suppose b = g + 8. Solve 3*z + 2 = -g for z.
-1
Let l be 28/((-28)/(-7)) + -3. Solve 0 = 4*s - 5*s + l for s.
4
Suppose 23*c - 26*c - 3 = 2*m, -c = m - 1. Solve -2*f + 8*f = -m for f.
-1
Let n(s) = s - 1. Let v(h) = -8*h. Let g(a) = 3*n(a) + v(a). Let r be g(-2). Solve 2*i - r = -1 for i.
3
Let t be (-8)/28 + (-23)/(-7). Suppose 0*x = -t*n + x + 8, 4*n + 2*x - 4 = 0. Solve -a + n = 4 for a.
-2
Suppose -3*u - 454 + 499 = 0. Solve 3*y = -0*y + u for y.
5
Suppose 38 + 22 = 15*z. Solve -3*g = z*g - 37*g for g.
0
Let a(f) = -f**3 - 2*f**2 + 6*f + 3. Let q(m) = -1. Let u(o) = a(o) + 4*q(o). Let i be u(-4). Solve 19 = 3*w + i for w.
4
Let m be ((0/(-4))/(-4))/1. Let c = 5 - 4. Suppose m = 3*a + 12, -2*a = l + 2 + c. Solve l = 5*z - 0 for z.
1
Suppose 13*t - 30 = 8*t. Solve -g = -t + 2 for g.
4
Let t be (-30)/(0 - 3/(-4)). Let q = 40 + t. Solve -3*o + 5 + 7 = q for o.
4
Suppose -n = 2*p - 10, 3*n - 8*n - 3*p = -36. Solve n*d + 24 = -0*d for d.
-4
Suppose 0 = -2*t - 4*t + 18. Suppose t*k - 52 = -40. Solve -y + k = 9 for y.
-5
Suppose -14*q = -18*q + 28. Suppose 2*d = b + q, 0*b - 5*b - 3*d + 30 = 0. Solve 0 + 3 = -b*w for w.
-1
Let z = 3 - -9. Solve -3*u + 6*u = z for u.
4
Let d(l) = 2*l**2 + 22*l + 4. Let u be d(-9). Let n = u + 38. Suppose n*a - 4 = 4*a. Solve -3 = -a*b - b for b.
1
Suppose -3*m - 3 = -9. Suppose m*v = -2*v + 12. Suppose 4*h + v - 11 = 0. Solve -y - 15 = h*y for y.
-5
Suppose 5*o + 4*v = -0*o - 7, 0 = -5*o + 4*v + 17. Let g be (o + -11)/(-9 + 7). Solve -a = 1 - g for a.
4
Let t(g) = -g - 6. Suppose 15*y + 58 = -32. Let z be t(y). Solve b + z*b = 0 for b.
0
Let x be (-1 + 3)*(2 - 1). Suppose -51*h = -49*h - 6. Solve -x*o = -o - h for o.
3
Suppose -3*a + 28 - 7 = 2*r, 4*r = a + 35. Suppose -14 = 3*z - 5*l, 5*z + 3 = l + r. Suppose 5*o - 17 = -2*j - 3, -26 = -5*o + z*j. Solve t - 20 = -o*t for t.
4
Let q(t) = 3*t**2 + 5*t + 10. Let d be q(-2). Solve -2*z - d*z = 70 for z.
-5
Suppose 4*d = 25 + 55. Let w(b) = -b + 3. Let r be w(-2). Solve r*y + d = y for y.
-5
Suppose -w + 4*w - 4*r = 20, -34 = -4*w - 2*r. Solve -8*b + 10*b + w = 0 for b.
-4
Suppose -3*b + 19 = 4. Suppose -53 = -5*y - 4*q, 2*y - b*q = -2*q + 12. Solve 0*p = -3*p + y for p.
3
Let l = -395 - -399. Solve -9*d + l*d = 25 for d.
-5
Suppose 4*j + 3 = a + 18, 2*j - 11 = -3*a. Solve 1 = o - a for o.
2
Let t(n) = 2*n - 3. Let q be t(4). Let l(b) = 3*b. Let r(o) = 4*o. Let h(u) = q*l(u) - 4*r(u). Let a be h(-3). Solve 0 = 2*c + a*c - 15 for c.
3
Let n(d) = d**3 - 5*d**2 - 16*d + 14. Let v be n(7). Solve v*i = i - 5 for i.
5
Suppose -j + 10 = 3*m, -3*m + 17 = 14. Solve 6*z + j = 1 for z.
-1
Suppose -11*j = -565 - 326. Solve -4*c - 61 = -j for c.
5
Suppose 5*c + 9 = -4*t, 5*t + 17 = 8*t - c. Solve t = 32*g - 31*g for g.
4
Let k = 14 - 20. Let m be (-8)/(-2) - (-24)/k. Solve m*v = 3*v + 3 for v.
-1
Let c be ((0 - 0) + -1)*76/(-4). Suppose 503 = c*x + 123. Solve -3*o - o - x = 0 for o.
-5
Let z(a) = 46*a + 518. Let q be z(-11). Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
s the closest to m? (a) h (b) t (c) -11
a
Let o = 0.1 - -3.9. Let b = -207 + 186. Let h = b + 21.4. What is the closest to o in 1, h, -2?
1
Let k = 1449 + -1329.6. Let y = -119 + k. Let l = -0.3 + 0.4. What is the nearest to y in l, 5, 0?
l
Let y = 8929/253 + -818/23. Which is the nearest to -0.1? (a) 6 (b) -1/9 (c) -4 (d) y
b
Let s be (5 - 1)*(-2)/2. Let r = 0.034256 - -4.965744. Which is the closest to 0.06? (a) 0.08 (b) s (c) r
a
Let f = 147/16 - 449/48. Let c be 1/1*(-6 - -2). Let y = 1/549 - -1634/7137. What is the closest to 1 in y, c, f?
y
Let b = 5/19 + 4/57. Let r be (-8)/(-4) + 6 + -4. Suppose r*g - 1 + 7 = q, -6 = g + 2*q. What is the nearest to b in -1, g, 0.4?
0.4
Let m = -2309 + 2292. What is the closest to 2/7 in -2, 13, m, -0.2?
-0.2
Let h = -2.537 - -2.417. What is the nearest to 99 in h, -2/5, 2?
2
Let c = -5.6 - -6. Let p = 1016 - 1016.2. What is the nearest to 0.01 in -2, c, 0.1, p?
0.1
Let f = 240.0362 + -0.0362. Let t = 224 - f. What is the closest to -2/7 in -1/4, 2, t?
-1/4
Let h = 162 - 202.4. Let z = 42.4 + h. Which is the closest to z? (a) -0.4 (b) 4/5 (c) 2
c
Let q = 478.1 - 476. Let t = q - 2.14. Which is the closest to t? (a) 0.1 (b) -3/4 (c) 0
c
Let g = -981.7 + 981.5. Which is the nearest to g? (a) -4/5 (b) 3.8 (c) -0.5
c
Let m be 0 + 2 + 152/(-14). Let u = m + 544/63. Suppose x + 14 = -x + 2*k, -3*x + 2*k = 20. What is the closest to x in u, -4, 1/8?
-4
Let k(y) = -100*y - 1512. Let x be k(-15). What is the closest to 1/4 in -0.09, -3, x?
-0.09
Let q = -215/3 + 73. Let z = -466 + 466. Which is the closest to z? (a) q (b) -0.2 (c) -2
b
Suppose -3*v + 6*u = 11*u, 3*v + 3*u - 6 = 0. Let q = 3/32 - 339/32. Let z = q + 11. Which is the closest to z? (a) v (b) 7 (c) -0.5
c
Let u = 8642.4 + -8641. What is the nearest to 0 in u, -2/35, -0.2?
-2/35
Let d be (-16)/(-3 - -7) + 12/21 + 2. What is the nearest to -91 in d, 1, -2?
-2
Let k = 527 - 535. Let r be k/40 - (-26)/30. What is the nearest to 11 in 3/4, 0.2, -4, r?
3/4
Let i be 30/36*4/(-10). Let f = -0.5176 + -0.4824. Which is the nearest to i? (a) 2 (b) -0.02 (c) -0.1 (d) f
c
Suppose 2*s + 5*o = 3 + 1, -8 = -4*s + 4*o. Suppose 17 = 3*z + s*d, 2*z - 23 = 3*d - 2*d. What is the nearest to z in -0.5, 0.4, -1?
0.4
Let d = -1450 + 8701/6. Let u be 3/(-1)*(-4)/28. What is the closest to u in 3, d, 0.3?
0.3
Let q = -11313 - -11307. Which is the closest to 2/9? (a) 7 (b) 1 (c) q
b
Let z = -10300 - -10297. Which is the closest to 2? (a) 4 (b) -345 (c) -0.1 (d) z
a
Let l = -6280.2 - -6280. Which is the closest to -1.52? (a) -0.5 (b) l (c) -4
a
Let x be 3/9 - 1/(-6). Let k = -79343 - -1190143/15. Which is the nearest to x? (a) -0.3 (b) k (c) -1/14
c
Let i = 1.98 - 2. Suppose -6 - 24 = -6*d. Suppose 130*j - 135*j - d = 0. What is the closest to -2 in j, 3, i?
j
Let x = -895 - -1791/2. What is the nearest to x in 24, 3, 2, -2/9?
-2/9
Let m = -14075 - -14074.8. What is the nearest to 1/11 in 1, m, -1/6, 34?
-1/6
Let x = 2.26 - 2.16. Suppose 190 = 3*m - 2*a, 3*a - 136 = -2*m + 2*a. Let g = m + -69. What is the closest to x in -4, -0.5, g?
-0.5
Let d be ((-3)/4)/(((-45)/(-36))/(-1)). Which is the nearest to -2? (a) 4 (b) d (c) -10
b
Let m(i) = i**2 + 3*i. Let n be m(0). Let l = 719.5 - 719. Which is the closest to -1? (a) 1 (b) n (c) l
b
Let l = 168.23 - 172.23. What is the nearest to -2/7 in 0, 32, l?
0
Let g = 3013/7 + -114753/266. Let s = 9/19 + g. Let q = 20.02 - 0.02. Which is the nearest to 0.1? (a) -2/13 (b) q (c) s
a
Let n(k) = 15*k + 272. Let r be n(-18). Let t = r + 1. Which is the nearest to -0.1? (a) -3 (b) t (c) 0
c
Let g = -50.2 - -50.2043. Let v = 0.1057 + g. What is the closest to 0 in 5, 3/7, v, 2?
v
Suppose -17673*p + 300 = -17703*p. Let r = -4.9 - -5. What is the nearest to r in 1/5, p, 0.5?
1/5
Let i = 25776 - 128879/5. What is the closest to -1 in i, 5, 105?
i
Suppose 2*r + 9 = 5*z, -10*z + 5*z - 4*r + 27 = 0. Let o = -0.06 + 3.06. Let l = -2 + o. Which is the nearest to -1? (a) l (b) -6 (c) z
a
Let t = -177 + 196.1. Let n = -20.1 + t. Which is the nearest to -2? (a) 2 (b) n (c) -1/4
b
Let g = 4505 + -4502. Which is the nearest to 0.01? (a) g (b) 2/9 (c) 0.5 (d) -17
b
Let s = 0.37 + 0.63. Let u = 23.2 - 0.4. Let i = -23 + u. Which is the closest to s? (a) i (b) 1 (c) 4
b
Let h be 10/(-4)*(-3)/15. Let c(x) = -77*x + 332. Let b be c(4). What is the nearest to h in b, 3/7, -3?
3/7
Let o be ((-432)/(-576))/((-6)/16). Which is the nearest to -1? (a) 2 (b) o (c) 5 (d) 4
b
Let h = 39 - 38.9. Let n be 0 - (-18)/(12 - 6). Let m = 12 + -12.3. What is the closest to h in n, m, 0.2?
0.2
Let x = -2323.9 - -2136. Let g = 188 + x. Let l = -18 - -30. Which is the closest to 2? (a) l (b) -2/9 (c) g
c
Let g = 0.02242 + 18.07758. Which is the closest to g? (a) -10 (b) 1/3 (c) 2
c
Let h(t) = -8*t**2 + 4*t - 2. Let o be h(1). Let y be 26/117 - (o/27)/(-1). What is the nearest to 0 in 0.6, y, 0.3?
y
Let n = -2525 - -2524.9. What is the nearest to n in 0.2, 29, -2/19, -2/3?
-2/19
Let c = 1843 - 1842. Let k = 3 + -0.2. Let x = k + -3. What is the closest to 0.1 in -0.07, c, x?
-0.07
Let i = -70.5 - -69. Let y = i + 3.5. Which is the closest to -1/2? (a) y (b) 0 (c) 10
b
Let x = -59 + 59.06. Let p = 0.5 - 0.1. Let r(i) = i**3 - 2*i**2 + 2*i - 3. Let y be r(2). Which is the closest to y? (a) x (b) p (c) 1
c
Let z(r) = 7*r**2 - 5*r - 3. Let j be z(-3). Suppose 3*i - 167 - 153 = -4*m, 0 = m - 3*i - 65. Let u = j - m. Which is the closest to u? (a) 0.3 (b) 3 (c) 2
a
Suppose 204*x - 200*x = 60. Suppose -x*g = -22*g + 35. Which is the nearest to 4? (a) g (b) 0 (c) -0.3
a
Let f = 903.8 - 904. Which is the closest to 0.1? (a) -1/4 (b) -2 (c) f
c
Let k = -23.9 + 23. Let y = 60.59 - 60.49. What is the closest to -3/5 in -5, k, y?
k
Let p = 4349 + -4227. Which is the nearest to -2/7? (a) -1 (b) 2 (c) p
a
Let l be 11/(-4)*(-592)/814. Which is the nearest to 0.1? (a) 0.3 (b) l (c) 3.5 (d) -4
a
Let y = 481 - 483. What is the closest to y in -0.5, -2, -8, 13?
-2
Let i be 36/28 + (-4)/(-9 + 13). What is the nearest to 2/3 in 6, i, -3, -1?
i
Let s = 166 + -161. Let y = 431 + -446. What is the nearest to 0.1 in 4, -3, s, y?
-3
Let y be 3 + (3 - 357/72) + 87/(-232). Let f = 0.8 - 2.8. What is the closest to y in -2/3, -2/7, f?
-2/7
Let t = -3.047435 + 0.047435. Let j(z) = z**2 + 4*z. Let i be j(-3). What is the nearest to t in -2/3, i, 3, 2/13?
i
Let f = 5 - 9. Let j(p) = 5*p**2 - 34*p + 19. Let s be j(6). Which is the nearest to -11? (a) s (b) f (c) -0.3
a
Let c(m) = -m**2 - 3*m + 8. Let p be c(-5). Let j be 18/9 + 1/p. Let v = -0.26 + 3.26. What is the nearest to 0.1 in j, -2, v?
j
Let w = -143.707 - -146.7. Let m = w - -0.007. Let r = 3 - 3.1. What is the nearest to r in 6, 0.1, m?
0.1
Let f = 884/2085 + -10/417. Which is the closest to f? (a) -0.5 (b) -1/6 (c) -8/5
b
Let i = -576 - -579. Suppose 0 = -14*o + 13*o. Which is the nearest to -0.1? (a) 2 (b) o (c) i
b
Let k = -0.85 - 0.15. Which is the nearest to -0.09? (a) -2 (b) k (c) -0.2 (d) 0.4
c
Let g = -0.31 - -0.2. Let j be (-5)/(-60)*(18 + -15). Let s = 1.93 - -0.07. Which is the nearest to j? (a) 1 (b) s (c) g
c
Let x = -0.08236 + 0.08236. Which is the nearest to x? (a) 3 (b) 0.4 (c) 18/13 (d) -1/4
d
Let v = 365 - 407. Let h = v + 42.3. Which is the nearest to 0.3? (a) -7 (b) 1 (c) h
c
Suppose 18*n = 73*n - 25*n. What is the closest to -14 in 1, n, 3?
n
Let q = 6869 - 6871. What is the nearest to -0.5 in 1.3, q, -8, 1/2?
1/2
Suppose 0 = -7*g + 5*g + 4. Suppose g*p - 101 = 3*f, -29 = 4*p + f - 238. Let u = -155/3 + p. Which is the closest to -1/2? (a) 3 (b) u (c) 0.5
b
Let c = -0.3 + 0.2. Let q be 22/4*(-3 - -9). Let g be ((-12)/(-2))/2 + q/(-9). What is the closest to c in -0.2, 2/15, g?
-0.2
Let k = -105 + 143.2. Let w = -75 + k. Let q = w - -37. Which is the closest to 0? (a) q (b) 4/7 (c) 2/7
a
Let i = -2 - -3. Let x be ((-120)/70 - -1) + (-6)/(-42). Let a be (-1 + 2 - -3) + 0. What is the closest to i in a, -1/6, x?
-1/6
Let q(y) = 3*y**2 + 7*y. Let k be q(-6). Let u be 29/99 + (-12)/k. Let j = 5979 - 5978. What is the closest to 8 in -0.3, u, j?
j
Let h = 387 + -266. Let s = 254 + -136. Let t = h - s. What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the second derivative of -7*y - 9*y**2 + y - 5*y + 21*y**2 wrt y?
24
Let q(k) = 18*k**3 + 67*k**2 - 4*k + 4. Let s(u) = -u**3 + u**2 - u + 1. Let o(r) = q(r) - 4*s(r). What is the third derivative of o(f) wrt f?
132
Let l = 2 + -6. Let t be 4/3*(-6)/l. Find the third derivative of x**5 - 4*x**t + 3*x**2 + x**5 wrt x.
120*x**2
Suppose -q + 7 = 4. What is the second derivative of 3*v**q - 2*v - 3*v**3 + 2*v**3 + v**3 wrt v?
18*v
Find the third derivative of 13*c**3 + 0*c**3 + 14*c**2 - 13*c**3 - 43*c**4 wrt c.
-1032*c
Let m(n) be the third derivative of 3*n**2 + 0*n**6 + 0*n**4 + 1/112*n**8 - 1/15*n**5 + 0*n + 0*n**7 + 0*n**3 + 0. Find the third derivative of m(z) wrt z.
180*z**2
Let v(j) = -j**2 + 4. Let a be v(-2). What is the third derivative of 4*l**6 + a*l**6 - 4*l**2 - 2*l**6 + 0*l**2 wrt l?
240*l**3
Let m(j) be the third derivative of j**8/42 - j**5/12 + 8*j**2. Find the third derivative of m(s) wrt s.
480*s**2
Let m(y) be the first derivative of -2*y**6 - 4*y**3/3 - 2. Find the third derivative of m(f) wrt f.
-720*f**2
Let d(s) be the second derivative of -s**10/15120 - s**7/840 - s**4/4 + s. Let m(l) be the third derivative of d(l). What is the third derivative of m(q) wrt q?
-120*q**2
Find the second derivative of -24*r**4 + 36*r + 1 - 1 - 12*r**4 wrt r.
-432*r**2
Let s(i) = -i**2 - 7*i - 2. Let p be s(-6). What is the third derivative of -r**2 + 0*r**2 - 5*r**p + 4*r**2 wrt r?
-120*r
Suppose -5*o = 2*o - 11*o. Let w(b) be the first derivative of o*b - 1 + 0*b**3 + 3/2*b**2 + 1/2*b**4. Find the second derivative of w(n) wrt n.
12*n
Suppose 5*g + 4*q - 3*q - 21 = 0, -2*q + 2 = 0. Suppose -y + 15 = 2*y. What is the third derivative of v**2 - g*v**2 + 0*v**5 + 4*v**y wrt v?
240*v**2
Differentiate -6 + 8*x**2 + 4 - 3 wrt x.
16*x
Let u(f) = -4*f**4 - f**2 + 3*f + 3. Let b(q) = 11*q**4 + 2*q**2 - 8*q - 8. Let t(z) = 3*b(z) + 8*u(z). What is the third derivative of t(a) wrt a?
24*a
Let a(n) = 6*n**3 - 5*n**2 + 2*n - 5. Let v(g) = 7*g**3 - 6*g**2 + 2 - 5 - 3 + 2*g. Let b(s) = -6*a(s) + 5*v(s). Find the second derivative of b(q) wrt q.
-6*q
Let f(q) be the first derivative of 2*q**4 + 8*q**3/3 - 9. Find the third derivative of f(t) wrt t.
48
Let r(h) be the third derivative of h**6/24 + 4*h**3/3 + 16*h**2. What is the derivative of r(s) wrt s?
15*s**2
Let u be (8 - -2)*(-9)/(-18). Let v(p) be the third derivative of 0*p**6 - 1/2*p**3 - 1/210*p**7 + 0 + 0*p**u + 0*p**4 + 2*p**2 + 0*p. Differentiate v(n) wrt n.
-4*n**3
Let i(b) be the second derivative of -13*b**5/20 - 13*b**2/2 + 14*b. Find the first derivative of i(h) wrt h.
-39*h**2
Find the second derivative of -9*y**5 + y - 43 - 2*y + 43 wrt y.
-180*y**3
Let f be (-32)/(-4 - 0) - 2. What is the derivative of 7 + f - 16 + 0*x**2 + x**2 wrt x?
2*x
Differentiate 17*r**2 + 29 - 13 - 26 wrt r.
34*r
Let w(i) be the second derivative of 2*i**6/3 - 13*i**2 + 38*i. What is the derivative of w(d) wrt d?
80*d**3
Let h(c) be the third derivative of 0 + 0*c + 1/60*c**6 + 7*c**2 + 0*c**4 + 0*c**5 + 1/3*c**3. Find the first derivative of h(p) wrt p.
6*p**2
Suppose -3*v + 30 = -3*t + 5*t, 5*v - 3*t - 69 = 0. Suppose 5*y - v = y. Find the third derivative of 2*u**3 - y*u**2 + 2*u**3 - 5*u + 5*u wrt u.
24
What is the first derivative of -38*s**4 - 565*s + 565*s - 1 wrt s?
-152*s**3
Let q(u) = 3*u**3 - 6*u**2 - 8*u. Let s(k) = -9*k**3 + 17*k**2 + 23*k. Let a(t) = -17*q(t) - 6*s(t). What is the second derivative of a(p) wrt p?
18*p
Let q(h) be the first derivative of 0*h**3 - 3/2*h**2 - 2/3*h**6 + 0*h**4 + 2 + 0*h**5 + 0*h. Find the second derivative of q(s) wrt s.
-80*s**3
Let o(h) be the first derivative of -8*h**5/5 - h**2/2 - h - 32. Differentiate o(m) with respect to m.
-32*m**3 - 1
Let s be 0/(0 + -2 + 1). Suppose 0 = -s*d - 2*d. Differentiate 2 - 2*i**3 + d*i**3 + 0*i**3 wrt i.
-6*i**2
Let u(b) be the first derivative of b**5 - 13*b - 10. Differentiate u(z) with respect to z.
20*z**3
Find the first derivative of 44*o**3 - 27*o**3 - 25 - 26*o**3 + 3 wrt o.
-27*o**2
Let f(t) be the second derivative of 0*t**2 + 1/3*t**3 + 0 + 3/10*t**5 + 0*t**4 + 6*t. What is the second derivative of f(h) wrt h?
36*h
Let q = 8 + 40. What is the third derivative of -10*c**2 - c**2 + q*c**3 - 42*c**3 wrt c?
36
Let t(w) be the third derivative of -5/24*w**4 + 0*w**3 + 0*w - 2*w**2 + 0*w**5 + 0 + 1/30*w**6. Find the second derivative of t(o) wrt o.
24*o
Let j(m) be the third derivative of -m**7/105 - m**3 + 7*m**2. What is the first derivative of j(a) wrt a?
-8*a**3
Let j(p) be the first derivative of 4*p**5/5 - 20*p - 9. What is the derivative of j(a) wrt a?
16*a**3
Let p(a) = -15*a**5 + 5*a**4 + 3*a**2 + 5. Let s(j) = -23*j**5 + 8*j**4 + 5*j**2 + 8. Let w(n) = 8*p(n) - 5*s(n). What is the third derivative of w(c) wrt c?
-300*c**2
Suppose -11 = 4*t - 27. Let d(c) = 5*c**3 + 5*c**2 - 4. Let l(i) = -10*i**3 - 9*i**2 + 7. Let z(o) = t*l(o) + 7*d(o). Find the third derivative of z(g) wrt g.
-30
Suppose 8 = 2*n - 2. Let p(z) = z**2 - 6*z + 6. Let b be p(n). Differentiate 0*d + 2*d - 1 - b with respect to d.
2
Let u(h) be the first derivative of 6*h**4 - 17*h**2/2 - 21. What is the second derivative of u(t) wrt t?
144*t
Let a(q) be the third derivative of -29*q**5/60 + 2*q**3/3 + 7*q**2. Find the first derivative of a(g) wrt g.
-58*g
Suppose -2*f + 7*f - 10 = 0. Find the third derivative of 49*a**5 - 49*a**5 + 2*a**6 - 2*a**f wrt a.
240*a**3
Let l(d) be the first derivative of -4*d + d - d**4 + 0*d + 4. What is the first derivative of l(t) wrt t?
-12*t**2
Let h(c) = -c - 1. Let z be h(2). Let a(v) = 4*v**4 + v**2. Let l(s) = -4*s**4 - 2*s**2. Let p(m) = z*a(m) - 4*l(m). Find the third derivative of p(j) wrt j.
96*j
Let z(o) be the third derivative of 17*o**6/120 - 3*o**4/8 - 11*o**2. What is the second derivative of z(b) wrt b?
102*b
Differentiate -58*q + 7*q**2 + 58*q + 7 with respect to q.
14*q
Suppose -12 = -0*s - 2*s. Let r be (-4)/s - 112/(-24). Find the second derivative of 0 + 3*w - w + 0 + 3*w**r wrt w.
36*w**2
Let r be -3 - ((-3)/(-1) - 11). Let q(m) = 3*m + 1. Let z(d) = d + 1. Let h(c) = r*z(c) - 2*q(c). Find the first derivative of h(g) wrt g.
-1
What is the derivative of -17*g**2 - 13*g**2 - 14*g**2 + 25 - 41 wrt g?
-88*g
Suppose q = -0*q + 4. What is the derivative of 4 + q - 2 - 6*w**2 wrt w?
-12*w
Let s = 82 - 46. Let l be (-4)/(-18) + 64/s. Find the third derivative of 0 + 0 + l*j**3 + j**2 wrt j.
12
Let d(i) be the second derivative of -11*i**7/21 - 4*i**4/3 - 19*i. Find the third derivative of d(n) wrt n.
-1320*n**2
Suppose 2 + 2 = b. Suppose -q - b*q = -15. What is the third derivative of -k**4 + 3*k**3 - k**2 - 3*k**q wrt k?
-24*k
Suppose 4*s - 15 = s. Find the third derivative of -s*f**2 + 5*f**2 + 4*f**3 - f**2 - 3*f**3 wrt f.
6
Let y(a) be the first derivative of 3*a**4/2 - a**3/3 + 15*a**2/2 + 71. Find the third derivative of y(o) wrt o.
36
Let u(w) be the first derivative of w**7/70 - w**5/60 - w**2 - 2. Let k(h) be the second derivative of u(h). What is the third derivative of k(r) wrt r?
72*r
Let p(v) = -v**5 + 6*v**3 + 8*v + 6. Let j(d) = 3*d**5 - 17*d**3 - 24*d - 17. Let n(h) = 6*j(h) + 17*p(h). What is the second derivative of n(z) wrt z?
20*z**3
Let y(a) be the third derivative of 3*a**7/280 - a**4/8 - 7*a**3/6 - 5*a**2. Let o(x) be the first derivative of y(x). Find the first derivative of o(j) wrt j.
27*j**2
Find the third derivative of -15*z**2 + 82*z**5 - 55*z**5 - 2*z**2 wrt z.
1620*z**2
Let c(w) be the first derivative of -3*w**4 - 3*w**2/2 - 1. What is the second derivative of c(h) wrt h?
-72*h
Find the third derivative of 7*s**3 - s**2 + 11*s**3 - 11*s**2 - 6*s**3 wrt s.
72
Let u(k) be the first derivative of -9*k**4/4 + 22*k**3/3 + 2. What is the third derivative of u(t) wrt t?
-54
Let k(w) be the third derivative of -13*w**6/40 + 47*w**4/24 - 14*w**2 - 2. What is the second derivative of k(d) wrt d?
-234*d
Let g be 3/9*(1 - 4/(-8)). Let b(n) be the first derivative of g*n**2 - 1 + 0*n - 2/3*n**3. Find the second derivative of b(l) wrt l.
-4
What is the second derivative of 3 - 7*z**2 + 2*z - 36*z**2 - 32 - 9*z**2 wrt z?
-104
Let q(n) = -8*n**2 - n + 1. Let c be q(1). Let h be 4/c + (-10)/(-4). Find the first derivative of 1 + h*w**4 + 1 - 4*w**4 wrt w.
-8*w**3
Find the third deriv
|
{
"pile_set_name": "DM Mathematics"
}
|
a - 3*a) in the form q*a**2 + z*a**3 + j + g*a and give z.
-11136
Rearrange -204*n**2 + 21360 - 21360 + (-5*n + 4*n - n)*(-n - 2*n + 0*n) to k + w*n + c*n**2 and give c.
-198
Express -839634 + 839634 - 298*y**2 as v + d*y + r*y**2 and give r.
-298
Express -1193*n**2 - n**4 + 2*n**4 - n + 1195*n**2 + 44*n**3 as y*n**3 + j + s*n**2 + m*n**4 + g*n and give g.
-1
Express 275*k - 139*k - 132*k + 5 in the form z*k + o and give z.
4
Express 5*x - 2*x**4 + 2*x + 114*x**3 - 2*x - 6*x + 4*x**3 as o*x**4 + u*x**2 + n*x + w + p*x**3 and give p.
118
Express 4*r - 72*r + 443*r in the form q + w*r and give w.
375
Express 0*z**4 + 0*z**4 - z**4 + (-285 + 3213 - 541)*(0*z**4 - 3*z**4 + 4*z**4) + 4*z**4 - 4*z**4 - z**4 as g*z**3 + c*z + p*z**2 + f + k*z**4 and give k.
2385
Express -v - 29 - 31 + 3*v - 47 + 23 as i*v + q and give i.
2
Express -2*v - 10*v**3 + 11*v**3 + 2*v + 52 + 2*v - 3*v**3 in the form w*v**2 + a*v + q*v**3 + t and give w.
0
Express -77*a**2 + 213*a**2 + 92*a**2 + 5*a**2 as v + p*a + n*a**2 and give n.
233
Express -7*r**2 + 8*r**4 - 4*r**4 - 8*r**4 - r**3 + 5*r**2 as m + i*r**3 + k*r**4 + b*r**2 + x*r and give b.
-2
Rearrange 0*k + k - 3*k + (-k + 3*k - k)*(5 - 2 - 1) + 3*k - 5*k + 4*k + k + k - 3*k + 4*k + 29*k - 9*k - 5*k + 4*k + 0*k to the form a*k + h and give a.
24
Express -244*h + 243*h - 86*h**2 + 13 - 10 as q*h + k*h**2 + j and give k.
-86
Express (-941 + 286 - 830)*(-1 + 3*m + 1 + 4*m + m - 4*m + (-m - 2*m + 5*m)*(-2 + 0 + 1)) as b + s*m and give b.
0
Rearrange b**2 - 2*b**2 + 4*b**2 + 0*b + 0*b + b**2 + (5*b - 4*b - 2*b)*(-b + b - 2*b) + 2*b**2 + 3*b**2 - 3*b**2 to w*b**2 + h*b + p and give h.
0
Express 3 - 1 - 2*v + 2*v**3 + 184*v**4 - 101*v**4 - 12*v**4 as j + r*v**4 + l*v**3 + b*v**2 + i*v and give l.
2
Rearrange 468*f + 467*f + 633*f**2 - 936*f to the form o + s*f**2 + w*f and give w.
-1
Express (269 + 26*p**2 - 269)*(p**2 - 8*p**2 + 0*p**2) + (p**2 + 0*p + 0*p)*(0*p**2 + 2*p**2 - 3*p**2) as f*p**3 + l*p**2 + k*p + v*p**4 + h and give v.
-183
Rearrange (0*l - l + 2*l)*(4*l**2 - 3*l**2 - 2*l**2) - 5*l**3 + 3*l**3 - 6*l**3 to s + a*l**2 + o*l + m*l**3 and give a.
0
Express 22*k**2 + 27*k**2 - 47*k**2 - 84 as v*k**2 + b*k + l and give v.
2
Express (-21 - 34 + 372)*(1 - 1 + 2*d) in the form k*d + q and give k.
634
Express (-1 + 4 - 2)*(s**2 + 4*s**2 + 1 - 4*s**2)*(9 - 2 - 1)*(-55*s + 31 - 31) as i*s**3 + m*s + k + r*s**2 and give i.
-330
Rearrange (-2*w**4 - 8*w**3 + w - w**4 + 10*w**3)*(-108 + 14 + 406) to the form v*w**3 + c*w + k*w**4 + q*w**2 + b and give c.
312
Express -35*z**2 - 40 - 37 + 77 as i + b*z + a*z**2 and give a.
-35
Rearrange (9*h**2 - 7*h**3 - 9*h**2)*(1 - 122*h - 70*h + 151*h) to the form x*h**4 + v*h**3 + m*h + z + q*h**2 and give z.
0
Express 17 - 38*t + 11 - 58 + 13 + 12 in the form d + r*t and give d.
-5
Express -16*f**3 + 125*f + 6*f**3 + 88*f + 11*f**3 in the form i + p*f + m*f**3 + y*f**2 and give i.
0
Rearrange 725*u**2 - 721*u**2 - 683*u**2 - 1366*u**2 to v + i*u**2 + d*u and give i.
-2045
Express -3*z**3 - 1 + 1 + (2*z + 2*z**2 - 2*z)*(2301*z - 1152*z - 1178*z - 1) in the form r + n*z + d*z**2 + u*z**3 and give u.
-61
Rearrange (2 + 3 + 3)*(g**2 - 5*g**2 + 0*g**2 - 9) to o + p*g**2 + y*g and give o.
-72
Express (4 - 4 + 2*i**2)*(33 - 2*i - 52 - 8) as m + r*i**2 + z*i**3 + n*i and give z.
-4
Rearrange -12*p - 17*p - 59*p + 3 - 9*p to m + f*p and give m.
3
Rearrange x**3 - 2*x**3 - 2*x**3 + (-18*x**2 - 12*x**2 + 7*x**2)*(-2*x + 1 - 1) to m*x + h*x**3 + p*x**2 + d and give h.
43
Rearrange (0 - 3 + 5)*(6 + 9 - 8)*(0 - 18*d**2 + 0)*(-1 - 2 + 2 + (-4 + 3 - 1)*(1 + 1 + 0) + 2 - 5 - 1) to p*d**2 + z*d + c and give p.
2268
Express -168*n**2 + 137*n**2 + 239*n**2 as m*n + c + f*n**2 and give f.
208
Rearrange 26*r - 21*r - 19*r - 16*r + 2 to b + w*r and give w.
-30
Rearrange -42*t**3 + 67*t**3 - 27*t**3 - 8*t**4 - 4*t**2 to a*t + p + b*t**4 + z*t**3 + o*t**2 and give o.
-4
Rearrange (2 + 2 - 6)*(-x - x**2 + x) - x**2 - 254*x - 18 + 254*x to y*x + p + o*x**2 and give y.
0
Express -u**4 + u**2 - 15*u - 16*u + 34604 - 34602 in the form x + o*u**3 + r*u**4 + z*u**2 + k*u and give r.
-1
Rearrange 18*j**2 + 3*j - 14*j**2 + 8*j - 4*j + j + 3*j**3 to p*j + v + m*j**2 + x*j**3 and give x.
3
Rearrange (-u - 10*u**3 + 2*u + 0*u)*(2*u + 80 - 96 + 196) to the form q*u**2 + p + z*u**4 + c*u**3 + s*u and give s.
180
Express (4*b - 2*b + 0*b)*(-1 + 1 - 1)*(251 - 251 - 103*b)*(-2*b**2 + 3 - 1 + b**2) in the form u*b + k*b**2 + g + t*b**4 + h*b**3 and give t.
-206
Express -2568*v**2 + 1349*v**2 + 0 - 1 + 1614*v**2 as j*v**2 + y*v + q and give q.
-1
Rearrange 670*y - 226*y + 455*y to the form j*y + v and give j.
899
Express 0*y + 2*y**4 + 2*y**2 + 125 - 5*y - 128 + 6*y + y in the form f*y**4 + g*y**2 + c*y + z + p*y**3 and give z.
-3
Express 2*t**2 + 0*t**2 + 4146*t**4 + 0*t - 79*t**3 - 5*t - 4149*t**4 + 4*t as s*t**3 + p*t + i*t**4 + u + o*t**2 and give i.
-3
Rearrange -64*o - 198*o - 102*o + 13*o + 13*o to g + f*o and give f.
-338
Rearrange (-60*k**3 - 6*k + 40*k**3 + 21*k**3 - 1)*(1 - 1 + 5*k) to u*k**3 + f + q*k + n*k**2 + z*k**4 and give n.
-30
Express -3*m + 0*m + m + (-33 + 15 + 16)*(6*m + 7*m - 15*m + 1) in the form q + w*m and give w.
2
Express -34 + 7 + 32*v + 23 as c*v + o and give c.
32
Express (-4*j**3 - 2*j**3 + 4*j**3)*(-9 + 10 - 24)*(-4*j + 3*j + 13*j) as i*j + z*j**3 + k*j**4 + v*j**2 + m and give k.
552
Rearrange (-13 + 18 + 23)*(-d**4 + d**4 + 2*d**4) + 2*d**4 - 4*d**4 + 0*d - 3*d to the form v*d**2 + u*d**3 + z + o*d**4 + a*d and give a.
-3
Rearrange -19 + 47 + g + g**2 + 5 + 47 to z*g**2 + q + t*g and give t.
1
Rearrange q**2 + 831 - 8*q**2 + 4*q - 827 to h*q + a*q**2 + p and give h.
4
Express 0*z**4 - 2*z**4 + 5 + 0 + 36*z**3 - z - 34*z**3 in the form a*z**3 + f + r*z**4 + i*z**2 + u*z and give u.
-1
Express -2 + 11*z**2 - 18*z**2 - 3*z**4 + 4*z**2 - 3*z as x*z**4 + h*z**2 + p + o*z**3 + r*z and give r.
-3
Rearrange 184*m**2 + m + 22*m**3 - 184*m**2 to w + b*m**3 + i*m + p*m**2 and give b.
22
Express -87*m - 183*m + 88*m as p + w*m and give w.
-182
Rearrange (-57 + 135 + 101 + (-2 + 2 - 2)*(5 + 5 - 1))*(-t - t**4 + 3*t**4 + 0*t**4) to a + f*t**2 + d*t**3 + k*t**4 + m*t and give m.
-161
Express -3*p**3 - 1 + 1 + 12*p - 110*p**2 + 111*p**2 as d*p**2 + r*p + a*p**3 + j and give d.
1
Rearrange 31*s - s**2 + s**4 - 3*s**3 - 17 - 4*s**4 + 17 - 69*s to n*s**4 + l*s**3 + x*s + z + r*s**2 and give x.
-38
Express (0 + 4 - 2)*(2 - 3 + c - 1)*(-3 - 1 + 6 + (16 - 23 + 0)*(-2 + 3 - 3)) as i + f*c and give i.
-64
Express -n**2 + 5 + 12*n**3 - 2*n - 3 - 6*n**2 + 6*n**2 - 6*n**4 as t + g*n**2 + i*n**4 + o*n**3 + d*n and give g.
-1
Express (0 - o**3 + 0)*(2 + 3 - 4) + (-o**2 - o**2 + 0*o**2)*(3*o - 2*o + o) - o**3 - 4*o**3 + 3*o**3 in the form u + q*o + b*o**2 + g*o**3 and give g.
-7
Rearrange 79*o**3 - 69*o**3 + o + 3 - 2*o**2 - 3*o to a*o**3 + z + r*o + u*o**2 and give z.
3
Express (-5*y**2 - 5*y**2 + 2*y**2)*(27 - 27 - 95*y - 22*y) as w*y + c*y**2 + g + f*y**3 and give g.
0
Express (-3*a + 0*a + a)*(-1 + 1 - a)*(0 + 0 + 6) + (-2*a + 2 - 2)*(-2*a - 4*a + 4*a) in the form f*a + v + l*a**2 and give l.
16
Express 460*a**2 + 21*a - 60*a**2 - 21*a as i*a + m + t*a**2 and give t.
400
Express (-5*a + 87 - 87)*(-3 - 2 + 11*a + 5) as t*a**2 + v*a + w and give t.
-55
Express 2*a**2 - 5*a**2 - 8*a**2 + (a - 2*a - a)*(a - a + 2*a) - 27*a + 27*a - 6*a**2 as t*a + s + k*a**2 and give k.
-21
Rearrange (-3*t**3 - 2*t**3 + 0*t**3)*(-1 + 3 + 2)*(-8 - 7 - 60) to the form f*t**3 + g + p*t + w*t**2 and give f.
1500
Rearrange -7*w**3 - 8*w**3 + 4*w**3 + (-2 + 2 + 2*w**3)*(2 - 4 + 1) + (-5*w - 3*w**3 + 5*w)*(5 - 2 - 1) to the form t + r*w + q*w**3 + z*w**2 and give q.
-19
Rearrange -9*v + 2*v**2 + 22 + 0 + 8*v + 9*v - 4 to the form h*v**2 + q + u*v and give u.
8
Express 0*l - 8*l + 0*l - 2 + 10*l**3 + 1 in the form z + y*l**3 + j*l + s*l**2 and give z.
-1
Rearrange -16*j**2 - 3 + j + 1 + 10*j**2 + 1 to the form g*j**2 + f*j + n and give n.
-1
Rearrange 60*i + 332*i - 572*i - 774*i to the form y + c*i and give c.
-954
Express 28*n**3 + 33*n**3 - 13*n - 18*n - 67*n - 63*n**3 in the form a*n**3 + b*n**2 + z + o*n and give a.
-2
Express 13*u + 0 - 5 - 10*u + 6*u - 6*u**3 in the form q*u**3 + r*u + w + z*u**2 and give q.
-6
Rearrange 15 - 4 - 87*b**2
|
{
"pile_set_name": "DM Mathematics"
}
|
2*d - 3*d + 1 + 2*d - 1 - d - 3*d + 2*d - d - d - 4*d + (5 - 4 + 1)*(-14*d + 7*d - 11*d).
-40*d
Expand -4*r**3 - 23*r**3 - 11*r**3 + (r - 5*r + 3*r)*(-5*r**2 + r**2 + r**2).
-35*r**3
Expand (-901*l**2 + 879*l**2 - 2 + 10)*(3*l**3 + 0*l**3 - 2*l**3).
-22*l**5 + 8*l**3
Expand 2*q + 2*q**3 - 2*q + (2*q + q - 2*q)*(-4*q**2 + q**2 + 6*q**2) + 6*q - 8*q + 0*q**3 - 8*q**3.
-3*q**3 - 2*q
Expand (-13 - 27*o + 42 - 36)*(-3*o - 2*o + 3*o).
54*o**2 + 14*o
Expand (-6 + 5*j + 6)*(27*j**2 - 195*j + 195*j)*(4*j - 6*j**2 + 3*j**2 - 2*j).
-405*j**5 + 270*j**4
Expand (-169*d**2 + 24*d**2 + 16*d**2 - 315*d**2)*(-d**2 - 2*d**2 + d**2 - 1).
888*d**4 + 444*d**2
Expand (-3*v**2 + 4*v**2 + 13*v**2)*(0 + 2*v + 0)*(-102 + 102 + 26*v).
728*v**4
Expand (10 - 26*g - 10)*(-2 + 5 - 1)*(-1 - 4 + 3).
104*g
Expand (-1 + 3 - 4*k - k)*(-4 + 4 - k).
5*k**2 - 2*k
Expand (o + o - 4*o)*(1 - o - 1) + (-8*o**2 - 13*o**2 + 32*o**2)*(5 - 2 + 0).
35*o**2
Expand (-1 + 1 + 1)*(-4 - 3 + 2)*(2 + 0 - 1)*(7*s**3 - 7*s**3 + s**3).
-5*s**3
Expand (1 - 1 + 5*l + 1)*(-4*l**3 - 3*l**3 + l**3 + l**3 + 0*l**2 + 0*l**2 + (0*l - 2*l + 0*l)*(-l**2 + 3*l**2 + 0*l**2)).
-45*l**4 - 9*l**3
Expand (-p - 4*p - 3*p + (-4 + p + 4)*(1 - 1 + 2) - 4*p + 4*p + p - 7*p - p + 2*p)*(-2*p**3 + 2*p**3 - p**3).
11*p**4
Expand -69 + 130 - 65 - 51*n - 2*n - 3 + 3 + (-2*n + 2 - 2)*(5 - 3 + 0) - 2*n + 5*n - 2*n + 4 - 2*n - 4.
-58*n - 4
Expand (2*z**5 + 0*z**5 - 3 + 8)*(-1 + 2 + 4).
10*z**5 + 25
Expand (-20*y**5 - 291*y**5 - 160*y**5)*(0 + 0 + 1).
-471*y**5
Expand (-m - m + 3*m)*(2 - 6 + 2)*(2*m**4 - 13*m - 3*m**4 - 3*m).
2*m**5 + 32*m**2
Expand -4*m**2 + 2*m**2 + 4*m**2 + (-2 + 2 + 2)*(-5 - 4*m**2 + 5).
-6*m**2
Expand (4*t**2 - 3*t**2 - 2*t**2)*(-4 + 2 + 4 + (-6 + 5 - 1)*(-1 - 2 + 1) + 2 - 1 + 0 + (2 + 0 - 3)*(1 + 0 - 2) + 0 - 1 + 0 + 1 - 1 - 1).
-6*t**2
Expand 0*a**3 - 13*a**3 - 7*a**3 + (-1 + 1 + a**3)*(3 - 2 - 2) - a**3 + 0*a + 0*a + (-2*a**2 + 3*a - 2*a + 0*a)*(a + 2 - 2) + 2*a**3 + 3*a**3 - 6*a**3.
-25*a**3 + a**2
Expand (-21 - 34 + 12)*(3 + 0 - o**2 - 4).
43*o**2 + 43
Expand 3 - 3 - 2*q**4 + (q + 2 - 2)*(0*q**3 + q**3 + 0*q**3) - 3*q**4 - 3*q**2 + 3*q**2 - 52*q**4 - 99*q**4 - 111*q**4.
-266*q**4
Expand ((2 + 2 + 1)*(0*w + 3*w - 4*w) + (-w - 3*w + 3*w)*(-3 - 1 + 3) - 2*w + w + 2*w)*(-3*w - w**2 + 3*w)*(0*w + 3*w - w).
6*w**4
Expand (-5*h**2 - h**2 + 3*h**2)*(1 - 2 + 3) - h**2 - 64 + 5 + 10.
-7*h**2 - 49
Expand (-2*m**3 + 3*m**3 + m**3)*(m**2 - 3*m**2 + m**2) - 92 + 32*m**5 + 92 + (9*m - 9*m - 12*m**3)*(-m**2 - m**2 - m**2).
66*m**5
Expand (0*s - 3*s + 0*s)*(-557*s - 19 + 544*s + 9).
39*s**2 + 30*s
Expand -13*y**4 - 36*y**4 - 5*y**4 + (-y - 4 + 4)*(-2*y**3 - 3*y**2 + 3*y**2) + 2*y**3 + 2*y**4 - 2*y**3 + 3*y**4 - 6*y**4 + 2*y**4.
-51*y**4
Expand (2*r**2 + 0*r + 0*r)*(3*r**2 - 7*r**2 + 3*r**2) - 58*r + 25*r**4 + 58*r + (-r**3 + 0*r**3 + 6*r**3)*(-3 + 3 - r).
18*r**4
Expand (5 + 3 - 4)*(-4*w**5 + 2*w**5 + 3*w**5 + 6*w**4).
4*w**5 + 24*w**4
Expand (0*u**2 + u**2 + u**2)*(u**2 - 2*u**2 + 2*u**2 + (-1 + 2 + 1)*(19*u + 5*u**2 - 19*u) + 3*u**2 + 3*u**2 - 5*u**2)*(-2 + 3 + 0).
24*u**4
Expand ((0 + 1 - 2)*(0*a**2 + a**2 + a**2) - 3 + 3 - 2*a**2 + (3*a + 1 - 1)*(-a - a + a) + 0*a**2 + 7*a**2 - 3*a**2)*(0 + 7*a + 0).
-21*a**3
Expand (p**3 - 3*p**3 - p**3)*(-5*p - 1 + 1) - 5*p**4 - 5*p**2 + 5*p**2.
10*p**4
Expand 3 + 4*x - 3 + (-4*x + 3*x + 3*x)*(3 + 0 - 1) - 5*x - 2*x + 3*x.
4*x
Expand (3 - 3 - 1)*(-4*h + 3*h + 4*h - h + h + 2*h + 4*h - 4*h - 2*h + (-6 + 1 + 3)*(-1 + 1 + h) + 0*h + h + 2*h + 48 - 48 + 8*h).
-12*h
Expand -l - l + 4*l + (0*l + 4*l - 3*l)*(4 - 3 - 2) + 4 + 2*l - 4 - 7*l + 22*l - 8*l.
10*l
Expand -3*o + 3*o - 2*o + (-73 + 22 - 21 + (-2 - 2 + 3)*(3 + 2 - 6))*(-o + 0*o + 0*o) + (-3*o - o + 0*o)*(2 - 3 + 0).
73*o
Expand (20*l**2 - 11*l**2 + 75*l**2)*(3*l**3 - 5*l**3 - l**3) + (3*l**2 + 0*l**2 - 2*l**2)*(l**3 - l**3 - 2*l**3).
-254*l**5
Expand 3*q**4 - 2*q**4 - 2*q**4 + (5*q**4 - 2*q**4 - 2*q**4)*(-6 - 1 - 1) - 8*q**4 + q**4 + 4*q**4.
-12*q**4
Expand (2 + 0 - 4)*(0 - 2*p + 0) + (1 - 146 - 21)*(2*p + p + 0*p).
-494*p
Expand 3*p**4 - p**4 + p**4 + (-10*p - 6 + 6)*(2*p**3 - p**3 + 5*p**3).
-57*p**4
Expand s**2 + s**2 - 4*s**2 + 0*s**2 - 2*s**2 + 4*s**2 - 2*s**2 - s**2 + 4*s**2 + s**2 + 0 + 0 + (0 + 0 + 1)*(2*s**2 - 2 + 2) - 2 - 2*s**2 + 2.
2*s**2
Expand (-25 + 12*x + 25)*(-x**3 - x**3 + 0*x**3) + (-4*x**2 + 8*x**2 + 4*x**2)*(-2*x**2 + 2*x - 2*x).
-40*x**4
Expand -369 + 369 - 52*t**2 - 5*t**2 + t**2 + 2*t**2 + 2*t**2 - 5*t**2 + 2*t**2 - 6*t**2 + t**2 + 3*t**2 + 3 - 2*t**2 - 3 + (-1 + 1 - 2)*(2*t**2 + 1 - 1).
-63*t**2
Expand (3 - 3 + 2)*(164*x**2 - 164*x**2 - 40*x**3).
-80*x**3
Expand (-2 + 2 - 2*a)*(-460 - 50*a + 235 + 220).
100*a**2 + 10*a
Expand 2*n**2 - 2*n**2 + n**2 + 2*n**2 + 3*n**2 - 4*n**2 + (-2*n + n - n)*(-3*n + 4*n - 4*n) + 0 + 2*n**2 + 0 + 15*n**2 + 22 - 22.
25*n**2
Expand -5*z**2 + 2*z**2 + 2*z**2 + (-z + 0*z + 3*z)*(-2*z - 4*z + 4*z) - 2*z**2 - 1 + 8*z**2 + 2.
z**2 + 1
Expand 101*v - 45*v - 49*v + (6 - 2 - 2)*(3 - 3 - v) + 3*v - 2*v - 2*v - 7*v - 2*v + 3*v.
-2*v
Expand (2*z**4 - 3 + 3)*(-64 + 301 + 120 - 11).
692*z**4
Expand (-3*z**5 + z**5 + z**5)*(-4 + 15 - 1) - 7*z**5 - 4*z**5 - 4*z**5.
-25*z**5
Expand 2 - d**3 - 2 + (0*d**2 + 2*d**3 + 0*d**2)*(-2 + 2 - 2) + (5 + 5 - 1)*(-4*d**3 + 4*d**3 + 2*d**3).
13*d**3
Expand (2 + 0 - 1)*(-31*d + 6991 - 6991) + (-1 + 1 - 2*d)*(-4 + 5 - 3) + 1 - 1 - d.
-28*d
Expand (4*f - f - 2*f)*(-4 + 4 + 2)*(-4 - 1 + 3 + (3 - 5 + 3)*(-2 + 4 - 1)) + (5 - 3 - 5)*(-10*f + f - 3*f) - f + 3*f - f.
35*f
Expand (2 - 72*v - 80*v + 160*v)*(0*v + 5*v - 2*v) + 0 + 0 + v**2.
25*v**2 + 6*v
Expand ((2*k - 5*k + k)*(6*k - 3*k + 0*k) - 4 + k**2 + 4)*((7 - 7 + 4*k**2)*(-6*k - 5*k + 5*k) + (3*k - 2*k**2 - 3*k)*(2 - 2*k - 2) - 2*k**3 + 3*k - 3*k).
110*k**5
Expand (1 - 1 - 2)*(-3 + 5 + 5*b - 3).
-10*b + 2
Expand (-2*w - 4*w - 4*w)*(2 - 1 + 0)*(-10*w - w + 3*w).
80*w**2
Expand (-1 - 2 + 2)*(k - 4*k + 5*k) + 17 - 14*k - 17.
-16*k
Expand -2*a + a + 33 - 38 + (-10*a + 9 - 9)*(2 + 4 - 5).
-11*a - 5
Expand (-2 + 4 - 8)*(-y + 0 + 0)*(-3*y**4 - 3*y**4 + 16*y**4).
60*y**5
Expand (-12*n**2 - 12*n**2 + 4*n**2)*(0 + 0 - 2*n) + (-n + n - n**2)*(0*n + 3*n - 2*n) - 4*n - 6*n**3 + 4*n.
33*n**3
Expand (4*j**4 + 0*j**4 - 3*j**4 - j**4 + 5*j**4 - 3*j**4 + (0 - 2 + 4)*(4*j**4 + j**4 - 4*j**4) + 3*j**2 + j**4 - 2*j**4 - j**2)*(-161*j - 25*j + 33*j).
-459*j**5 - 306*j**3
Expand (6*z + z + 2*z)*(-4 + 3 + 3)*(1 + 6 - 2).
90*z
Expand 4*p**5 - p**5 - 2*p**5 - 174*p**2 + 174*p**2 - 6*p**5 + (-3*p**2 + 0*p**2 + 2*p**2)*(-2*p**3 + p**3 + 2*p**3).
-6*p**5
Expand (7*g**2 - 5*g + 5*g)*((3 - 2 - 2)*(4 - 1 - 1) + 4 + 2 - 1 + 0 - 2 + 4 + (-2 + 4 - 1)*(-3 + 1 + 1) + 2 - 4 + 4 + 4 + 1 - 3 - 3 + 1 + 0).
42*g**2
Expand (-50*w**2 - 64*w**2 + 183*w**2)*(5*w + 3*w - 5*w)*(0 + 1 - 3)*(-2 - 1 + 2).
414*w**3
Expand (5 - 2 - 1)*(-3*b**2 + 0*b**2 + b**2) + 10*b**2 - 26*b**2 - 9*b**2.
-29*b**2
Expand (-1 - 2*l + 1)*(-181*l**2 - 737*l + 737*l).
362*l**3
Expand (0*i + i - 2*i)*(0*i**2 + 0*i**2 - i**4) + (2*i**4 - 2*i**4 - 3*i**4)*(-1 - 9*i - 2 + 1).
28*i**5 + 6*i**4
Expand (-2 + 2*b - 21*b + 4*b + 3 - 2*b - 3 + (-b + 0*b + 2*b)*(-3 - 3 + 5))*(4 + 1 - 3)*(-2*b**2 - 3*b**2 + 6*b**2).
-36*b**3 - 4*b**2
Expand ((0 - 1 - 1)*(3 + 4*w - 3) + w + 5*w - w)*(5 + 0 - 6).
3*w
Expand (3*y + 2*y - 3*y)*(-7 - 2 + 2 - 1 - 4 + 3 + (-1 - 4 + 3)*(0 - 3 + 1) - 7 + 4 + 1).
-14*y
Expand ((-2 - t + 2)*(t - 3*t + 3*t) + 1 + 2*t**2 - 1 + t**2 + 2*t**2 - t**2)*(200*t**3 - 150*t**3 + 384*t**3) - 2*t**5 + t**5 - 4*t**5.
1297*t**5
Expand (-d - d + d - 283*d - 148*d + 173*d + d - 2*d + 0*d + (-3*d - d + 5*d)*(0 - 2 + 4) - 7*d + 2*d + 3*d + d - d + 2*d)*(-2*d**4 - 2*d**4 + 7*d**4).
-774*d**5
Expand (d**2 - 4 + 4 + (-3*d + 3*d + 2*d)*(2*d - 3*d + 3*d) - d + d**2 + d)*(-12*d**2 + 39*d**2 + 34*d**2).
366*d**4
Expand -14*i + 16*i + 21*i + (4*i + i - 4*i)*(-2 + 4 - 6).
19*i
Expand (-p + 0*p + 0*p)*(12 + 2 + 3)*(0*p**2 + 2*p**2 + p**2)*(-1 - 2 + 1 + (-4 - 2 + 4)*(-2 + 6 - 2) - 2 + 3 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 2).
-153*p**3
Expand -4*z**2 + 3*z**2 - 7*z**2 + (8 - 6 + 1)*(-z**2 - z**2 + z**2).
-11*z**2
Expand (-1 - 1 + 0)*(4*f**4 + 3*f**2 - 3*f**2) + (-3*f - f + 3*f)*(-f**3 + 0*f**3 - f**3).
-6*f**4
Expand (-401*i + 84*i + 8*i)*(-i + i + 2*i**2)*(4*i**2 - 4*i**2 - 2*i**2).
1236*i**
|
{
"pile_set_name": "DM Mathematics"
}
|
2*p)*(p**2 - p**2 - 2*p**2)).
3*p**5 + 2*p**2
Expand (2 - 1 + 0)*(-2*a + 4*a + 0*a)*(3 - 6 - 7)*(-3 - 1 + 6).
-40*a
Expand (2*s**3 - 3*s**3 - 2*s**3)*(2 - s - 2 - 1) + 1 - s**4 - 1.
2*s**4 + 3*s**3
Expand 2 - 3*z**2 + 3 - 2 - 3*z**2 + 0*z**2 + 2*z**2 + (3*z - z - 4*z)*(2*z + 0*z - z).
-6*z**2 + 3
Expand -5*x**3 + 0*x**3 + 3*x**3 + (3 + 3*x - 3)*(3*x**2 - 5*x**2 + 0*x**2) + 7*x**3 - 18*x**3 - 7*x**3.
-26*x**3
Expand (0*z**4 + 2*z**4 + 5*z**4)*(4*z - 3*z - 3*z).
-14*z**5
Expand (0*w**3 + 2*w**3 - w**3)*(6*w - 2*w - 3*w) + 0 - 2*w**4 + 0 - 82*w**4 + 2535 - 2535.
-83*w**4
Expand (-2*l + 2*l - 2*l)*(4*l - 2*l + 0*l) - 2*l + 0*l + 3*l**2 + 6*l.
-l**2 + 4*l
Expand (-3*f**2 + 3*f**2 + 2*f**3)*(-1 + 1 + 2*f) + 6*f**3 + f**3 + 3*f**4 - 2*f**4.
5*f**4 + 7*f**3
Expand (-6 + 3 + 4 + (-1 + 3 + 0)*(0 + 8 - 1))*(-2*m**3 + 3*m**3 - 3*m**3).
-30*m**3
Expand -17*t**2 + 3*t**2 - 8*t**2 + (-1 + 1 + 2)*(0*t**2 + 0*t**2 + 2*t**2) - t**2 - 2*t + 2*t.
-19*t**2
Expand (3 + 10 - 18)*(1 - 4 + 5)*(3*f + f - 2*f).
-20*f
Expand -3*k**5 - 3*k**5 + 4*k**5 + 3*k**5 - k**5 + 4*k**5 + (k**4 + 2*k**3 - 2*k**3)*(k - 4*k + 2*k) - 3*k**5 + 2*k**5 + 3*k**5.
5*k**5
Expand (3 + 0 - 6)*(7*x - 16*x**2 - 23*x**2 - 7*x).
117*x**2
Expand 449*g - 2*g**3 - 449*g - 2*g**4 - g**4 + 2*g**4 - 2*g**4 - g**4 + 0*g**4 - g**4 + (-2*g**4 + g**4 + 3*g**4)*(-2 + 2 - 1).
-7*g**4 - 2*g**3
Expand 2 - 2 - 5*b**3 + 0*b**3 + 3*b**3 - 2*b**3 + (-2*b**2 + 2*b**2 + b**2)*(-3*b + 2*b + 2*b) + 0*b**3 + 2*b**3 - 5*b**3 + 2*b**3 + 2*b**3 - 2*b**3.
-4*b**3
Expand (-2*h - 4*h + 11*h)*(0*h**2 - 3*h**2 + h**2)*(1 + 2*h - 2 + 3).
-20*h**4 - 20*h**3
Expand (-15 + a**2 + 15 + 2*a**3)*(-306 + 17*a + 306).
34*a**4 + 17*a**3
Expand 2*v**4 - 5*v**4 + 4*v**4 + (-8*v + 9*v + 11*v)*(-v**3 + 4*v**3 - v**3).
25*v**4
Expand (-6*d**3 - 3*d**2 + 3*d**2)*(-3 + 3 - 1) + 3 + d**3 - 3.
7*d**3
Expand (-i**2 + 4*i - 4*i)*(0*i**3 - 3*i**3 + 2*i**3) - 1 + 5*i**5 + 1 + i**5 + 4*i**2 - 3*i**2 - 2*i**2.
7*i**5 - i**2
Expand (0 - 4 + 6)*(3*z + 4*z - 3*z) + 9 + 3*z - 9.
11*z
Expand (2 - 6 + 1)*(4*j**3 - 2*j**3 - j**3) + j**3 - j**3 - j**3 + (2*j - 2*j - j)*(0*j + 0*j + j**2) - 3*j**3 + 2*j**3 - j**3.
-7*j**3
Expand -4*j**4 + 5*j**3 - 6*j**3 + 0*j**3 + (-3*j**3 + 3*j**3 + 2*j**4)*(-3 + 6 - 2).
-2*j**4 - j**3
Expand (3*p**3 - 2*p**2 + 2*p**2)*(-2 + 0*p**2 + 10*p - 8*p - 2*p**2).
-6*p**5 + 6*p**4 - 6*p**3
Expand (0 + 3*n + 1 - 2*n)*(-1 - 5*n**2 - 1 + 0).
-5*n**3 - 5*n**2 - 2*n - 2
Expand (-2 + 3*q**2 + 2)*(2*q - 2*q - 2*q**2) + 0*q**3 + 4*q**4 - q**4 - q**3.
-3*q**4 - q**3
Expand 1 - 20*u**2 + 8*u**2 + 9*u**2 + 3*u**2 + 0*u**2 - 5*u**2 + (u + 2*u - 4*u)*(-4*u + 5*u + 0*u) - u**2 + 3*u**2 + 0*u**2.
-4*u**2 + 1
Expand (61 - 61 - 13*n)*(-2 - 1 + 0).
39*n
Expand (-3*r**2 - 3*r**2 + 5*r**2)*(3 - 3 + r) + (4*r**2 + 3*r - 3*r)*(0*r + 4*r - 2*r).
7*r**3
Expand -2*h**3 + 2*h**3 - 2*h**3 + (2*h - 4*h - 2*h)*(0*h**2 + 3*h**2 - 4*h**2).
2*h**3
Expand (1 + 2 - 5)*(u**4 + 2*u**4 - 2*u**4 + 14*u**3 + 5*u**4 - 14*u**3 + (2 - 2 - u**4)*(-2 + 1 + 3) - u - 2*u**4 + u + 2*u**4 - 3 + 3).
-8*u**4
Expand (0*r + 2*r - r)*(-2 + 1 - 1 - r**4).
-r**5 - 2*r
Expand (-20 + 0 + 3)*(-2*y + 2*y - y)*(-y + 4 - 4).
-17*y**2
Expand ((5*k + k + 2*k)*(-4 + 0 + 1) + 1 - 2*k - 1)*(0 + 1 + 0)*(-3 + 1 + 1).
26*k
Expand (2*p - 2*p - 3*p)*(-2 + 7 + 0)*(-4 + 5 + 0).
-15*p
Expand (-2*z + 5*z + 2*z)*(-3 + 1 + 1).
-5*z
Expand 6*u + 3 - 3 + (2*u + 3 - 3)*(-1 + 0 + 3).
10*u
Expand (7 + 7 - 3)*(l - l**2 - l)*(-l**2 + 0*l**2 + 0*l**2).
11*l**4
Expand (7*b - 2*b - 2*b)*(11 + 18 - 28 - 2*b**2 + 25*b).
-6*b**3 + 75*b**2 + 3*b
Expand 0*g + g**4 + 0*g - g**4 + 0*g**4 - g**4 + (-2 - g + 2)*(g**2 - g**2 + 2*g**3) - g**4 + g**4 - 2*g**2 + 5*g**4.
2*g**4 - 2*g**2
Expand (3*y**2 - 3*y**2 + y**2)*(-3*y + 5*y - 4*y) + (-1 + 1 - 1)*(0 + 3 + 0)*(0 + 5 - 3)*(0*y - y**3 + 0*y).
4*y**3
Expand -3*m**5 + m**5 + 4*m**5 + (0*m - 2*m + 0*m)*(4*m**4 - 4*m**4 - 2*m**4).
6*m**5
Expand (-2*c - c**4 + 2*c)*(4*c + 2*c + 2 - 4*c).
-2*c**5 - 2*c**4
Expand (v - 4*v + v)*(4 - 5 + 2) - 4*v + 0 + 0 + (-5 + 4 - 1)*(-2*v + 5*v + 0*v).
-12*v
Expand -1 + 1 + 2*a**2 + (2 - a - 2)*(-398 + 398 - 12*a).
14*a**2
Expand 23 + 4*r**2 - 23 + (3 + 1 - 6)*(6 - 6 + 3*r**2).
-2*r**2
Expand (-23*u + 31*u + 37*u)*(-2 + 1 - 1)*(-5 + 3 + 0).
180*u
Expand -10*c**3 + 4*c**4 + 10*c**3 + (c**4 + 0*c**2 + 0*c**2)*(-2 + 4 - 4) + (-5*c + 5*c + 3*c**2)*(0*c - c**2 + 0*c) - c**3 + c**3 + 2*c**4.
c**4
Expand -3*l + l + 4*l + (-1 + 0 - 1)*(0 + 0 + 2*l) + 7*l - 2*l + 3*l + l - l + l + 1 - 1 + 2*l + (3*l + 0*l - l)*(-2 + 6 - 2) + l + 3*l - 3*l + 3 - 3 - 3*l.
11*l
Expand (-3*c + 5*c + 0*c)*(-2 - 3 + 6)*(-39*c - 6*c**2 + 41*c + 0*c**2).
-12*c**3 + 4*c**2
Expand 3*n**3 + 0*n**3 - 4*n**3 + (-2*n + 2*n - 2*n**2)*(-n + n - n) - n**3 + 0*n**3 + 2*n**3.
2*n**3
Expand (-g + 2 - 2)*(g**2 + 0*g**2 + g**2) + 3*g**3 + 3*g**3 - 5*g**3 + (0*g**3 - 4*g**3 + 2*g**3)*(1 + 3 - 5) + 2*g**3 - 1 + 1 - 5*g**3 + 4*g**3 + 0*g**3.
2*g**3
Expand -v**3 + 4*v**3 - 6*v**3 + (-v + 4*v + 2*v)*(v**2 - v**2 - v**2).
-8*v**3
Expand (3*v**2 + 2*v**3 - 3*v**2)*(-2*v + 10*v + 2*v)*(2 - 2 - 2*v).
-40*v**5
Expand (-1 - 5 + 0)*(0 + p - 2*p + 1)*(0 - 4 + 5).
6*p - 6
Expand o**3 - o**3 + o**3 + (3*o + o - 3*o)*(8 - 8 - 4*o**2).
-3*o**3
Expand -3*k - k + 3*k + (-2*k + 0*k + 4*k)*(0 + 2 - 3) - 4*k - 2*k - 6*k.
-15*k
Expand (0*o + 2*o + 0*o)*((2*o + 3 - 3)*(-5*o**2 + 4*o**2 + 0*o**2) + 5*o**3 + 0*o**3 - o**3).
4*o**4
Expand (w - 6*w + 3*w)*(1 - 3 + 4) + (2*w + w - 2*w)*(-3 - 2 + 6).
-3*w
Expand (-20 + 34 - 29)*(2*n - 5*n + 4*n + (-4*n + n + 4*n)*(-2 + 0 + 0)) + (-1 - 1 + 0)*(2 - 4*n - 2).
23*n
Expand (z**2 - z**2 - 2*z**3)*(3*z + z + z + (0*z + 4*z - 3*z)*(-1 + 1 + 2) + z - 3 + 3 + z - 2 + 2).
-18*z**4
Expand s**4 - s**4 - 5*s**4 + (-3*s + 4*s + 0*s)*(-s**3 + s**3 - 2*s**3).
-7*s**4
Expand (-5 - 4 - 6)*(4*c - 5*c + 2*c).
-15*c
Expand (3*f - 4*f - f + 0*f - 4*f + 3*f + (1 - 2 + 0)*(3*f - 3*f + f))*(-2*f**3 - 3*f**3 + 2*f**3).
12*f**4
Expand (-5*q + 7*q**3 + 5*q)*(-q + 2*q + q)*(2*q - 6*q - 2*q).
-84*q**5
Expand (9*u**2 + 2 - 2)*(8 - 8 + 2*u**2) - u**4 - 3*u**2 + 3*u**2 + (-2*u**2 + 7*u**2 - 3*u**2)*(u - u - 2*u**2) + 3*u**4 - 5*u**4 + u**4.
12*u**4
Expand (-2*q + q + 3*q)*(3*q + 0*q + 0*q).
6*q**2
Expand (11 + 13 - 5)*(-4*u + u + u).
-38*u
Expand ((3 + 3 - 5)*(-2*v**3 + 6*v**3 - v**3) - 2 + v**3 + 2)*(0 - 5 + 4)*(0 - 1 - 1).
8*v**3
Expand (-28 + 7 - 2 + o)*(2*o + o - o).
2*o**2 - 46*o
Expand (-18*z**4 + 64*z**2 - 64*z**2)*(5*z - 2*z - z).
-36*z**5
Expand n - 5*n - 3*n + 2*n + 2*n - 3*n - 2 + 2*n + 2 + (-2*n - 1 + 1)*(-4 + 2 + 1) - 2*n - n + 2*n.
-3*n
Expand (-67 + 34 + 19 + 2*u**2)*(0 + 2 - 3)*(2*u**2 + 2*u - 2*u).
-4*u**4 + 28*u**2
Expand (-2*y**2 + 0*y**2 + 0*y**2)*(3*y**2 + y - y) - 2*y**4 - 6*y**4 + y**4.
-13*y**4
Expand (-t**3 - t**3 - 8*t**2 + 2*t**2)*(-3*t + 0*t + t).
4*t**4 + 12*t**3
Expand (1 - 1 + 2*j**4)*(2*j + 2 - 2) + (14*j + 12*j - 8*j)*(2*j**4 + 2*j**4 - 6*j**4).
-32*j**5
Expand (-34*n + 91 - 91)*(-n + n + 2 + n).
-34*n**2 - 68*n
Expand -3*w**3 + 2*w**3 + 0*w**3 + (-4*w**2 + 4*w**2 - w**2)*(-w - w + 4*w) + 0*w + w**3 + 0*w - 3*w**3 + 0*w**3 + w**3 - 3*w**3 + w**3 + 0*w**3.
-6*w**3
Expand (d**2 + 0*d + 2*d - 3*d)*(0*d + d - 2*d).
-d**3 + d**2
Expand (4*c**3 - 4*c**3 - c**3)*(-82*c - 76*c - 52*c + (-2*c + 6*c - 2*c)*(-3 + 1 + 1)).
212*c**4
Expand (1 - 4*d**2 + d**2 + 2*d**2)*(-23 - 76*d - 79*d + 153*d).
2*d**3 + 23*d**2 - 2*d - 23
Expand (0 + 1 + 1)*(-2*a - 6*a + 12*a) + 4 + a - 5 + 2.
9*a + 1
Expand (-3 - 2*d + 3 + (2 - 3 + 3)*(2*d - 3*d + 2*d) + 2*d - 3*d + 5*d)*(-d**4 + 2*d**4 + d**4).
8*d**5
Expand (10 + 7 - 5)*(0 + i**2 + 0) - 3*i + 3*i + i**2.
13*i**2
Expand (-143 - 32*a + 143)*(0 - 2*a + 0).
64*a**2
Expand (4*n - 5*n + 2*n)*(-10 + 5 + 2)*(-4 + 4 + n)*(0 + 0 + 4*n).
-12*n**3
Expand (-4*l + 4*l + 2*l)*(-3 + 3 + 1) - 4*l - l + 0*l + l - l + l + 4 + 6*l - 4 + (-2 + 2 - l)*(-1 - 2 + 1) + (-3 + 2*l + 3)*(-3 + 2 - 1).
2*l
Expand (-t**3 + 4*t**3 - t**3)*(-139*t + 19 + 282*t - 145*t).
-4*t**4 + 38*t**3
Expand -2*p**5 - 4 + 4 - 4*p**5 + p**5 + 2*p**5 + (-3*p**3 - 3*p**3 + 4*p**3)*(-2*p**2 + p**2 + 2*p**2) - 8*p**5 + 7*p - 7*p - p**5 - p**3 + p**3.
-14*p**5
Expand (3 + 3 - 5 + 2 - 3 + 0 + (-2 - 1 + 1)*(2 + 2 - 2))*(159 - 78*n - 159).
312*n
Expand f**2 - 3*f**2 + 6*f**2 + (-4*f**2 + f**2 + f**2)*(0 -
|
{
"pile_set_name": "DM Mathematics"
}
|
(6*c - 3*c + c)*(2*c - 5*c + 4*c) + 3*c + c**2 - 3*c.
c**2
Expand (p - 2*p - 2*p)*(-1 + 4 - 1)*(4*p + 2*p - 4*p).
-12*p**2
Expand (-c - 4 + 4)*(-2*c**4 - c**3 + 3*c**3 - c**3).
2*c**5 - c**4
Expand (-4*x**2 + 6*x**2 + 0*x**2)*(-x**3 + 3*x**3 - 4*x**3) + 0*x**5 + 2*x**5 - x**5 + (2*x**4 + x**4 - 5*x**4)*(-3*x + 0*x + x).
x**5
Expand (4*t + 1 - 2 - t)*(-2*t + 3 - 3 - 2*t - 2*t + 2*t + (-3*t + 0*t + 4*t)*(3 - 5 + 1)).
-15*t**2 + 5*t
Expand (w + 3*w - 6*w)*(-w**2 + 0*w + 0*w)*(-3*w - 3*w - 2 + w).
-10*w**4 - 4*w**3
Expand -m**3 + m**5 + m**3 + (-m**2 + 0*m**2 - m**2)*(-5*m**3 + 3*m**3 + m**3) + m**5 + 3*m**5 - 3*m**5 + (-5*m + 6*m - 2*m)*(6 - 6 - m**4).
5*m**5
Expand (1 - 1 - 3*n)*(2*n - 1 + 1) - n**2 + 0*n**2 - 2*n**2.
-9*n**2
Expand 5*q**2 + 5*q**3 - 5*q**2 + (1 + 1 - 4)*(-2*q**2 - q**3 + 2*q**2)*(-1 - 1 + 0).
q**3
Expand (-1 + 1 - 2)*(5 - 2 - 4)*(-2*d + 2*d - d).
-2*d
Expand (-4*s**3 - 6 + 6)*(-4 + 4 - 3*s)*(-2 - 1 + 2).
-12*s**4
Expand (0 + 1 - 18)*(-4 + 5 - 3)*(6*z - 2*z - z).
102*z
Expand 3*q - q + 0*q + (2*q + 0*q - q)*(2 + 1 - 2).
3*q
Expand -15*m**2 + 6*m**2 - 9*m**2 - 4*m**2 + 3*m**2 + 0*m**2 - m + m + 2*m**2 + (4*m + 0*m - 2*m)*(-2*m - 2*m + 2*m).
-21*m**2
Expand (-13*c**2 + 13*c**2 - 6*c**3)*(2 + 1 - 2)*(-1 + 2 - 3).
12*c**3
Expand (2 - 2 - 3*d**3)*(-2*d + 5*d - 5*d) - 5*d**4 + 4*d**4 + 6*d**4.
11*d**4
Expand (0 + 1 + 1)*(-2*d + 4*d - 4*d) - 92 + 13*d + 92.
9*d
Expand (-2*i + 2*i - i)*(4*i - 1 + 5 - 6).
-4*i**2 + 2*i
Expand (-3 - 2 + 6)*(i - 2*i + 3*i)*(5*i + 0*i - 16*i).
-22*i**2
Expand 2*h**3 + h**3 - 2*h**3 + (0*h - 2*h**2 + 0*h)*(-2*h - h + h) + 35*h + 5*h**3 - 33*h + 7*h**3.
17*h**3 + 2*h
Expand (5 - 3 + 2)*(-c**3 - 2*c**4 + 2*c**2 + c**3) + 4*c**4 - 13*c**2 + 13*c**2.
-4*c**4 + 8*c**2
Expand (-2 + 0 + 3)*(25*d**2 + 17*d**2 - 17*d**2).
25*d**2
Expand (3*q - 3*q - 2*q)*(-3 + 3 - 4)*(0*q**2 + 0*q**2 - 2*q**2).
-16*q**3
Expand (4*f - 5 + 5)*(-4 - 2 + 1)*(2*f**3 + 3*f**3 - 2*f**3).
-60*f**4
Expand -5*x**3 + 2*x**3 + 0*x**3 - x**3 - x + x + (-x**2 + x**2 + 2*x**3)*(6 - 2 - 3) + (3 - 6 + 0)*(2*x**3 - 5*x**3 + 2*x**3).
x**3
Expand -4*o + o + 2*o + (-1 - 3 + 3)*(418 + 52*o - 418).
-53*o
Expand (z - 5 + 5)*(-18*z**2 + 34*z**2 + 59*z**2).
75*z**3
Expand (-3 - a**4 + 3)*(-10 + 2 + 20) - 2*a**4 + 2 - 2.
-14*a**4
Expand (-5*g + 2*g + g)*(3 - 3*g - 3 + 1 - 1 - g + 2*g + 0*g + 0*g + 2*g - g + g + (-4*g - 2*g + 4*g)*(-4 + 0 + 2)) - 7 + 5*g**2 + 7.
-3*g**2
Expand (-3*l**3 - 2*l + 2*l)*(-l + 3*l - 3*l).
3*l**4
Expand (11*i**4 - 6*i**4 + 7*i**4)*(0 - 1 - 1)*(3 - 2 + 1).
-48*i**4
Expand (-2*i + 3*i + 0*i)*(-3*i**3 + 1 + 2*i**3 + 1).
-i**4 + 2*i
Expand (1 + f - 2 + 0)*(-5*f - 2*f + 22*f)*(3 - 4 + 2).
15*f**2 - 15*f
Expand (4*m + 3*m - m)*(-3*m**2 + 3*m**2 - 2*m**4) - m**5 - 3*m**5 + 2*m**5.
-14*m**5
Expand 0*y**3 - 3*y**3 + y**3 + (4 - 4 - 2)*(-5*y + 5*y + 2*y**3) + (-9*y**3 - y**2 + y**2)*(4 - 1 - 1).
-24*y**3
Expand (2*m - 1 + 1)*(m - 3*m + 0*m) - 7*m**2 + 16*m**2 + 10*m**2.
15*m**2
Expand (2 + 9*t - 2)*(2 + 2*t + t - 4*t).
-9*t**2 + 18*t
Expand (-35*m**2 - 14*m**3 + 35*m**2)*(-m + 4*m - 5*m) + 0*m - 3*m**4 + 0*m - 2*m**3 - 3*m**4 + 4*m**4 + 0*m**4 + 1.
26*m**4 - 2*m**3 + 1
Expand (2*k - k + 0*k)*(k + 5*k - 4*k + 5*k - 3*k - 4*k - 2 + 2 - 2*k + (-2 + 3 - 3)*(-1 + k + 1) + 6*k - 2*k - 3*k + 2 - 2 - k - 2*k - k + k + 0*k + k - 2*k).
-7*k**2
Expand (4*a - 5*a - a)*(2 + 4 - 4) + (3 - 2 - 2)*(-3*a + a + a).
-3*a
Expand (-1 - 1 + 0)*(1 + 2 - 9)*(2*j - 5*j + j).
-24*j
Expand (s + s - 3*s)*(-4*s - 4*s + 5*s) + 0*s**2 + 0*s**2 - s**2.
2*s**2
Expand 2*u**5 + 0*u**4 + 0*u**4 + (-u**2 - 24 + 24)*(-4*u**3 + 0*u**3 + 3*u**3) + 3*u**5 - 3*u**5 + u**5.
4*u**5
Expand (-3*n + 4*n + 2*n)*(-5*n**2 + 5*n**2 - 2*n**2)*(-26*n**2 - 26*n**2 + 47*n**2).
30*n**5
Expand (-4 - 2 + 4)*(-2 - 2 + 2)*(5 + 3 - 4)*(-7*a + 5*a**4 + 7*a).
80*a**4
Expand (-2*p**3 + 2 - 2)*(0 - 3 - 1) - p**3 + p**3 + p**3 - 6*p**3 + p**3 + 0*p**3.
4*p**3
Expand 2*l**2 + 5*l**2 + 0*l**2 + (l - 3 + 1 + 1)*(2 - 2 + l)*(-2 + 2 + 1).
8*l**2 - l
Expand -2*b**3 + 2*b**5 + 2*b**3 + (b**3 - b**4 - b**3)*(-2*b + 0*b + b) - 1 + 1 + b**5 + 2*b**5 - 2*b**5 + b**5 - b**5 - b + 10*b**5 + 3*b**5.
17*b**5 - b
Expand (0 + 0 + 2*n)*(94 - 33*n - 94).
-66*n**2
Expand (-2 - 5 + 1)*(-2*m + 0 - 1 - m).
18*m + 6
Expand (o - 3*o + 0*o)*(-6 + 4 - 1)*(1 - 1 - 2)*(-o + 2 - 2)*(-37 + 9*o**2 + 37).
108*o**4
Expand (-2*v**2 - v + v)*(-4 + 4*v**2 - 2*v**2 - v**2).
-2*v**4 + 8*v**2
Expand (0 + 2 - 1)*(j + j + 0*j) + 3 - 3 - j - j - 2*j + 0*j.
-2*j
Expand (-3*q + q - 8*q)*(-2*q + q - q + 6*q**2).
-60*q**3 + 20*q**2
Expand (5*r - 4 + 1 + 1)*(2*r + 3*r - 4*r).
5*r**2 - 2*r
Expand ((-2 - 3 + 4)*(-4*o - 4*o + 5*o) - o + 0 + 0)*(-o**2 + 0*o**2 + 21*o**2).
40*o**3
Expand (-9*b**4 - 6*b**4 + 5*b**4)*(2 + 1 - 4 - 2*b).
20*b**5 + 10*b**4
Expand (-6*c**4 + 0*c**4 + 5*c**4)*(35 + 10 + 5).
-50*c**4
Expand (1 + 2 - 4 + (-2 - 1 + 2)*(4 + 0 - 6))*(-12 + 12 + 15*s)*(-4 + 5 + 0).
15*s
Expand -2*h + h + 5*h + (-2*h + h + 6*h)*(-2 + 0 + 3).
9*h
Expand (r - 5*r + r)*(1 + 0 + 0)*(-4*r**3 + r**3 + r**3)*(-r + 0*r - 3*r).
-24*r**5
Expand (0*t**2 - 3*t**2 + 5*t**2)*(-2*t**3 - 2*t**3 + 3*t**3) + (-20*t**2 + 321 - 321)*(2*t**3 - 5*t**3 + t**3).
38*t**5
Expand (-2*c - 4 + 4)*(-4*c + 4*c - c**2) + (-c + 3*c - c)*(-30*c**2 + 15*c**2 + 27*c**2).
14*c**3
Expand (3*c - 4*c + 0*c)*(3*c - 5*c + c)*(-140*c - 124*c + 248*c).
-16*c**3
Expand 6*y**2 + 14*y**2 - 21*y**2 - 2*y**2 - 2 + 2 + (-2*y - 3 + 3)*(y + 6*y - 5*y) + 3*y**2 - 3*y**2 - 2*y**2.
-9*y**2
Expand (-l - 3*l + 3*l)*(-l**4 - 3*l**4 + 6*l**4 + (-6*l + l - 5*l)*(0*l**2 - 2*l**3 + 0*l**2) - 2*l**4 - 2*l**4 + 5*l**4).
-23*l**5
Expand 3*l**5 - 5*l**5 + 0*l**5 + (2*l + 4*l - 5*l)*(-71 - 67*l**4 + 71).
-69*l**5
Expand (-3*n**2 + 3*n**2 - n**2)*(4*n - 4*n + 2*n**2) + 4*n**4 - 2*n**3 - 6*n**2 + 6*n**2.
2*n**4 - 2*n**3
Expand (-1 + 0 + 5)*(-h**4 + 0*h + 0*h) + (0*h**3 + h**4 + 0*h**3)*(1 - 3 + 3) - 2*h**4 + 1 - 1.
-5*h**4
Expand (1 - 8 + 5 - 2*f**3)*(2*f**2 + 0*f**2 - f**2 + (0 - 2 + 4)*(4*f**2 - 6*f**2 + 0*f**2) + 6*f**2 - f**2 - 3*f**2).
2*f**5 + 2*f**2
Expand (-3 + 3 - c**2)*(-2 - 4 + 5)*(3 - 5 + 4).
2*c**2
Expand (1 - g - 1)*(-4*g**2 + 2*g**2 + 0*g**2) + 30*g**3 + 47*g**3 - 219*g**3 - 192*g**3.
-332*g**3
Expand (n - n + n)*(70 - 139 + 88 - 4 + 4 + 1 + (3 + 0 - 4)*(-3 + 2 + 0) - 3 - 3 + 5)*(4*n - 4*n + 2*n).
40*n**2
Expand (-3*j**2 + 2*j**2 + 2*j**2)*(3*j - 5*j - 7*j).
-9*j**3
Expand (3*d + d + 4*d)*(-6*d + 6*d - d**2) - d**3 + 3*d**2 - 3*d**2.
-9*d**3
Expand -2*r + 3*r - 2*r + (-8 + 6 - 9)*(1 - 1 - 3*r).
32*r
Expand (2 + 0 - 4)*(0 + 0 + t**3 + (-2*t + 1 - 1)*(-t**2 - 3*t + 3*t) + t**3 + 0*t**3 + 0*t**3).
-8*t**3
Expand (-m + 5*m - 2*m)*(4*m**3 - 4*m**3 - 3*m**3) + m**4 + 2 - 4 - 1 + m**3.
-5*m**4 + m**3 - 3
Expand -9*f**2 + 6*f**2 + 9*f**2 + (0 + f + 0)*(f - f + 2*f) - 3 + 3 - f**2.
7*f**2
Expand (4*a**4 + 0*a**4 - 3*a**4 + (-4*a**2 + 5*a**2 - 3*a**2)*(6*a**2 + 0*a**2 - 4*a**2))*(2 + 1 - 4)*(2 + 1 + 0).
9*a**4
Expand (-2*z**2 + 2*z**2 - z**2)*(4 - 3 - 2)*(-z**2 + 3*z**2 - z**2).
z**4
Expand (3 + 2*l**5 - 3)*(0 + 3 + 0 + 2 - 1 + 1 - 1 + 0 + 0 + 1 + 2 - 4 - 1 + 4 - 1 + (-1 + 4 - 1)*(3 - 1 + 0) + 6 + 0 - 2).
26*l**5
Expand (2*h**3 - 2*h**3 + 5*h**4)*(-15 + 6 + 5).
-20*h**4
Expand 27*s**2 + 15*s**2 - 6*s**2 + (2*s - 5*s + 4*s)*(0*s + 2*s - 4*s).
34*s**2
Expand 3*p**3 + 4*p - 4*p + (4*p**2 + 0*p**2 - 2*p**2)*(-2*p - 3*p + 7*p) + 3*p**3 - 2*p**3 + 0*p**3 + (-p - p + 0*p)*(-p**2 + 4*p**2 - 2*p**2).
6*p**3
Expand (-4*v**5 + 5*v**5 - 5*v**5)*(9 - 4 + 8).
-52*v**5
Expand (-z**2 + z - z)*(4 - 7 + z**3 - z**2 - 6).
-z**5 + z**4 + 9*z**2
Expand ((-3*h + h + 3*h)*(1 - 2 + 2) + 0*h + 0*h + h)*(-3*h**2 - h**2 + 5*h**2) - 25*h**3 + 35*h**3 + 65*h**3.
77*h**3
Expand -4*a + 0*a + 2*a + 6*a - a - 4*a + (-2*a - a + 2*a)*(2 - 4 + 0) - a + 3*a - a + 0*a + 2*a - a.
3*a
Expand (0*r - 2*r - 5*r)*(r - 2*r - r + (0*r - 3*r + 0*r)*(1 - 1 + 3)).
77*r**2
Expand -6*h**2 - h**2 + 0*h**2 + h**2 - h**2 + 2*h**2 + (2*h - 2*h - 2*h)*(1 + 2*h - 1) + 3*h**2 + h - h.
-6*h**2
Expand (0 + 1 - 5)*(-4*v**4 - 1 + 1 + 2*v**4 + 4*v**4 - 5*v**4 + (4*v**2 - v**2 - v**2)*(0*v**2 + v**2 - 2*v**2)).
20*v**4
Expand (4 - 4 + t)*(-3*t**2 + 0*t**2 + 2*t**2)*(5*t - 6*t + 8*t).
-7*t**4
Expand (-1 + 1 + x + 3*x + 0*x - 5*x + (-1 - 2 + 1)*(4*x - 2*x + 0*x))*((x + 0*x - 3*x)
|
{
"pile_set_name": "DM Mathematics"
}
|
. Solve 153*l - 120 = h*l for l.
-5
Let n be 23/7 - (-2)/(-7). Let l be 7*1/(3/n). Suppose -6344*x - 38 = -6347*x + 4*q, -5*x + 18 = -q. Solve 5 = x*o - l*o for o.
-1
Suppose 5*f - 6 = q + 16, -6 = -3*f + 3*q. Suppose 3*t - 13 = -0*p - p, -3*t = -9. Solve -f = -z - p*z for z.
1
Let l be 7*(-1)/8*-8. Suppose -413 = l*f - 441. Solve 2*r = -f*r - 30 for r.
-5
Suppose -5*x = -2*w - 21, 5*x - 22*w - 18 = -21*w. Solve -x*v = -9 + 18 for v.
-3
Let l(m) = m**3 - 24*m**2 + 23*m - 2. Let i be l(23). Let b be ((-8)/(-18))/(i/(-6))*-15. Let d = b - -26. Solve -d*w = -w for w.
0
Suppose -3*n - 3*y = -81 - 90, n - 49 = -3*y. Solve n*b = 63*b + 4 for b.
-2
Let s = -320 + 257. Let c be (s/147)/(1/(-7)). Solve 27 - 24 = -c*q for q.
-1
Let n = 48 - -4. Suppose -26 = 13*k - n. Let r be 4/(2/(-1 + 5)). Solve 6*a - r*a = -k for a.
1
Let t = 8687 + -8365. Solve 5*u + t = 51*u for u.
7
Let m = -647 - -458. Let l = m - -193. Solve -q = -0*q + l for q.
-4
Suppose g - 2*q = -8, -1 = 5*g + 2*q - 9. Let d be 1 + g - (-144)/6. Let v(j) = j**3 - 5*j**2 + 2*j - 48. Let k be v(6). Solve k = 3*m + d - 10 for m.
-5
Suppose -2*v + 12 = 2*l, 28 = 2*l + 2*l + 2*v. Suppose 51 = l*r + 9*r. Solve -2*x - r = -x for x.
-3
Let d(t) = 3*t - 33. Let c be d(9). Let z be (-172)/c + 10/(-15). Solve 4*q + 3*q = z for q.
4
Let v = 743 + -736. Suppose -210 = v*s - 42*s. Solve c = s*c - 20 for c.
4
Suppose 326*i = 5*i. Solve i = 10*t - 32*t - 88 for t.
-4
Let d(b) = 971*b - 15198. Let a be d(16). Solve 69*k + a = -145 for k.
-7
Suppose -384*g - 227 = -410*g + 59. Solve -6*h + g*h - 25 = 0 for h.
5
Let k = -74 - -66. Let a be 18/(-12)*k/6. Solve 4 = -a*z + 6 for z.
1
Let b be -1 - 204/(-42) - 1/(-7). Let d be (52/b + -3)/((-4)/(-10)). Solve d = 5*t - 0*t for t.
5
Let b(u) be the second derivative of -u**3/2 - 7*u**2 - 182*u - 1. Suppose -2*z + 1 = 13. Let a be b(z). Solve -a*d + d = -3 for d.
1
Let n(a) = 3*a**2 - 16 - 19*a - 10 + 15 + 24 + 28. Let z be n(5). Solve 11*t - 1 = z for t.
2
Suppose 12*i = -289 + 49. Let a be 1 - (1 + -1 - 1). Let v be (i/(-5) - a)/1. Solve -v*b = -b for b.
0
Suppose -153*n + 151*n = -4. Solve t = -n*t - 2*t for t.
0
Suppose -26 = -7*r - 236. Let j = r + 91. Suppose -j = -14*q + 23. Solve q*u + 20 = u for u.
-4
Suppose 4*h + q = 5, 1582*q = -2*h + 1587*q - 25. Solve 0*n - 4*n - 12 = h for n.
-3
Let q = -1245 - -1383. Solve -q*j - 60 = -148*j for j.
6
Suppose -496 = -50*h + 19*h. Solve h = -36*w - 20 for w.
-1
Suppose -3*k - 2*t = -20, 4*t + 5 + 21 = 5*k. Let p = 5209 + -5209. Let m = p + k. Solve m*s - 2*s = -12 for s.
-3
Let i(g) be the third derivative of -g**6/120 + g**4/12 + g**3/3 + 5*g**2. Let a be i(0). Let v be 0/(-4 - -8) - (-8)/a. Solve 0 = 3*r - 7*r - v for r.
-1
Let h(q) = q**2 + 18*q - 99. Let c be h(-23). Solve 10*d - c*d - 24 = 0 for d.
-4
Let l(r) = 2*r**3 - 21*r**2 + 64*r + 7. Let w be l(6). Solve w*b - 7 = 74*b for b.
-1
Suppose -4*d - 4*h = h - 53, -4*h = -d - 13. Suppose d*o = -424 + 466. Solve -6 = o*t - 18 for t.
2
Suppose 5*w = -25, -5*i + 2*i - 5*w = 25. Suppose -3*o = 3*y - 18, -38 = -2*o - 4*y - 26. Solve 2*m + m - o = i for m.
2
Suppose 0 = -9*z - 110 + 425. Let v(n) = -n**2 + 14*n. Let g be v(16). Let p = z + g. Solve 20 = 2*f + p*f for f.
4
Suppose -3160 = -16*c + 3048. Let l = -376 + c. Solve l = 5*f - 3 for f.
3
Suppose 2*k = -2*z + 20, 6*k + 35 = 3*z + 10*k. Let p be -5 + z/(-3)*-6. Suppose -5 = -2*x + 5. Solve 0*c - p = -x*c for c.
1
Let w(o) = o**2 + 32*o + 152. Let j be w(-5). Solve -j = 5*a + 3 for a.
-4
Suppose 0 = -251*y - 571 + 7097. Solve -26*l - y = -13*l for l.
-2
Let j(l) = l**2 - 98. Let y(g) = -11*g**3 - 2*g**2 - 7*g - 6. Let b be y(-1). Let u be j(b). Solve 0 = -u*m + 2*m + 7*m for m.
0
Let z(m) = -m**3 - 8*m**2 + 2*m + 18. Let b be z(-8). Let x(o) = 7*o**3 + 3*o**2 - 4*o + 2. Let s be x(b). Solve s*r - 59*r - 9 = 0 for r.
3
Suppose -13*m + 2*m + 22 = 0. Let j be (34*-1)/(-7 + 7 - m). Solve 13 - j = -z for z.
4
Let v(b) = b**2 - 56*b - 507. Let f be v(65). Solve -40*c = -198 + f for c.
3
Let d(y) = -y**3 - 43*y**2 + 167*y + 86. Let u be d(-47). Solve u*o = 1065*o for o.
0
Let d(r) = 2*r**3 + 6*r**2 + r + 3. Let w be d(-4). Let x = -39 - w. Let l be 224/42*x/(-4). Solve h = 3*h + l for h.
-4
Suppose -4*z + 6 = -6*j + 7*j, 0 = 3*j + 2*z - 68. Let k(s) = -14 + 2*s + j - 4*s. Let v be k(5). Solve -d + v*d = 2 for d.
2
Suppose 0 = 16*j - 12*j + 2160. Let o = 558 + j. Solve -o = -0*l + 6*l for l.
-3
Let q(k) = -k**3 + 5*k**2 - 43*k + 301. Let m be q(6). Solve -m*n - 3*n = -30 for n.
3
Suppose 11*m = -3*m + 700. Suppose -3*s + 13*g + 20 = 8*g, -2*s - 4*g = -m. Solve 0 = -2*p - p - s for p.
-5
Let o(n) = 2*n**3 - 10*n**2 - 7*n - 2. Let w be o(6). Solve -w + 61 = 11*x for x.
3
Suppose 58*l - 580 = 406. Solve 0 = 23*o - l*o + 36 for o.
-6
Suppose -5*k - 1 = -76. Suppose -i + 3 = -k. Let y be i/81 - (-16)/9. Solve 4 + y = -2*b for b.
-3
Suppose 4*a - 15 = -a + 5*i, -2*a + 4 = -3*i. Suppose -11 = -2*d + a*z + 26, -2*d = 5*z + 13. Solve -d*b + 5*b = 2 for b.
-2
Let p = 537 - 549. Let i be (-5)/(p/(-8) + -4). Solve 5*x = -i*x - 21 for x.
-3
Suppose -21*w = -35*w + 182. Suppose w = -14*t + 97. Solve -t*u + 10*u = -16 for u.
-4
Let l = 14614 + -14196. Solve -l - 230 = -81*p for p.
8
Let o = 1278 + -1275. Suppose z - 5 = -2. Solve -o*j = -z + 18 for j.
-5
Suppose -o - 5 = 4*y - 184, -529 = -3*o - 4*y. Solve -o = 39*u - 4*u for u.
-5
Let s = 2 + -2. Suppose 0 = j - s*j - 53. Let a = j - 50. Solve a = -v + 4 for v.
1
Let c = 2253 - 2252. Let q = -11 - -14. Let x = q + 0. Solve 13 = -x*r + c for r.
-4
Let p = 55 - 53. Let c be (p/4)/((-16)/(-96)). Solve 0 = c*u - 4*u + 4 for u.
4
Suppose 0 = 4*r - 3*i - 8, 0 = -2*i + 9 - 1. Suppose -5*b + 50 = 5*j, 3 + 7 = r*b. Suppose -9 = -14*o + 33. Solve j*t = o*t for t.
0
Suppose -6 = -g - 2*g. Let m be 28 + -14 - 77/7. Solve g*n + m = -3 for n.
-3
Let u = -1029 - -1040. Solve -8*m + 3 = u for m.
-1
Suppose 2*l - 11 = 37. Let u = 11780 + -11772. Solve 0 = -u*o - l for o.
-3
Suppose 13*j - 12*j = 2. Let g be ((-1)/j - 0)*(3 + -3). Suppose g = -18*w + 16*w + 4. Solve 0 = a - 1 - w for a.
3
Let i(c) = -11*c + 239. Let f be i(19). Solve f = 7*r + 8*r for r.
2
Let p be 0 + (-2)/12 + (-475)/(-114). Solve -3*v + p*v = -2 for v.
-2
Suppose -i - 11 + 4 = 5*h, -110 = -5*i + 4*h. Suppose -12*s = -i*s + 84. Let q be s/(-49) + (-90)/(-21). Solve 2 = -3*u - q for u.
-2
Suppose -13*g + 940 = -464. Let q = g + -98. Solve -5*b + 20 = -q*b for b.
-4
Suppose -651*f + 655*f - 972 = 0. Let b = f + -241. Solve -6 = -b*y - 12 for y.
-3
Suppose 4*y + 5*a - 4 = 0, -8*y + 12*y - 5*a = 44. Let l(i) = 8*i - 43. Let k be l(y). Let m be 70/6 + (-2)/(-6). Solve k*o = 3 + m for o.
3
Suppose -1902*m + 1917*m = 30. Solve -15*t - m*t = -2*t for t.
0
Suppose 88*h = 98*h - 260. Suppose 2*p - 4 = 4*v - 24, -4*v + h = -5*p. Solve -7*c = v - 25 for c.
3
Let r be ((-27)/15 - -2)/((-153)/(-28305)). Let g be (-26)/(-3) + (-2)/(-6). Suppose -8 = -g*z + r. Solve 0 - z = -d for d.
5
Let l(v) = -2*v + 56. Let r(g) = 9*g - 276. Let z(k) = -24*l(k) - 5*r(k). Let c be z(-10). Solve -c = s + s for s.
-3
Let u be 7/42 + (-33)/(-18) + 0. Suppose -3*x = -q - 50, -u*q - 5*x = -0*q + 67. Let a = q + 43. Solve 3*k = -a*k - 5 for k.
-1
Let q(l) = -8*l**2 + 234*l - 27. Let d be q(29). Solve 0 = -12*n + 5 + d for n.
3
Let t(k) be the second derivative of -k**4/12 - 41*k**3/6 + 2*k**2 - 118*k. Let z be t(-41). Solve 6 + 6 = z*l for l.
3
Let v(n) = 36*n + 40. Let p(m) = 107*m + 124. Let t(l) = 6*p(l) - 17*v(l). Let z be t(-2). Solve -4*y = -z - 0 for y.
1
Suppose -544 = 4*j + 192. Let v be 59/8 - (-69)/j. Solve 4*l = -11 + v for l.
-1
Let r be 2/(-2)*(3 - 1 - 139). Suppose r*u = 131*u + 36. Solve 0 = u*c + 4 + 2 for c.
-1
Let b = -3505 + 3513. Solve -4 = 4*o - b*o for o.
1
Suppose -100*n + 106 = -1894. Solve 27 + 73 = n*k for k.
5
Let v(w) = -12*w**2 - 258*w + 138. Let n be v(-22). Let b = -3 + 3. Solve b = -n*g + 8*g - 8 for g.
4
Let s(y) = 3*y**2 + 16*y + 129. Let r be s(-8). Solve -201*t + 32 = -r*t for t.
4
Suppose 6*r = 11*r + 170. Suppose -s = 5*j + 26, 2*s + 80 = 3*j + j. Let o = r - s. Solve h - o = 3 for h.
5
Let y be (1 + 0)/(-39 - 26488/(-679)). Solve 107 - y = -10*j for j.
-1
Let l be (-6)/8 + 1 + 4/(-16). Let t be -6*5/(-30) - (l - 1). Solve 2*j
|
{
"pile_set_name": "DM Mathematics"
}
|
.
24
Calculate the greatest common factor of 55 and 737.
11
What is the highest common factor of 614 and 2?
2
What is the highest common divisor of 5920 and 5?
5
Calculate the greatest common factor of 8 and 314.
2
Calculate the greatest common factor of 132 and 13596.
132
Calculate the greatest common divisor of 8281 and 182.
91
Calculate the highest common factor of 352 and 33.
11
What is the greatest common factor of 352 and 880?
176
Calculate the greatest common divisor of 14380 and 8.
4
Calculate the greatest common divisor of 1183 and 4823.
91
Calculate the greatest common factor of 304 and 1976.
152
Calculate the greatest common divisor of 5047 and 49.
49
What is the greatest common divisor of 1 and 53?
1
Calculate the greatest common divisor of 80 and 304.
16
Calculate the greatest common factor of 872 and 109.
109
What is the highest common factor of 6460 and 1330?
190
What is the highest common factor of 120 and 276?
12
Calculate the highest common factor of 816 and 2160.
48
Calculate the greatest common factor of 21 and 1379.
7
Calculate the highest common divisor of 3600 and 288.
144
What is the greatest common factor of 14 and 126?
14
What is the greatest common factor of 198 and 1008?
18
Calculate the greatest common divisor of 72 and 27.
9
What is the greatest common factor of 4043 and 933?
311
Calculate the greatest common factor of 294 and 252.
42
Calculate the highest common factor of 60 and 30.
30
Calculate the greatest common divisor of 15594 and 1695.
339
Calculate the greatest common divisor of 2768 and 32.
16
What is the greatest common factor of 384 and 4?
4
Calculate the highest common divisor of 95 and 152.
19
What is the highest common divisor of 16498 and 113?
113
What is the highest common divisor of 24 and 4344?
24
What is the highest common divisor of 718 and 28?
2
What is the highest common factor of 33 and 363?
33
Calculate the greatest common divisor of 60 and 156.
12
Calculate the highest common factor of 35453 and 121.
121
What is the greatest common divisor of 151 and 2416?
151
Calculate the highest common divisor of 1675 and 25.
25
Calculate the greatest common factor of 18 and 9.
9
Calculate the highest common factor of 1075 and 425.
25
What is the highest common factor of 4209 and 69?
69
What is the greatest common factor of 676 and 572?
52
What is the greatest common factor of 29 and 493?
29
Calculate the highest common divisor of 35949 and 69.
69
What is the highest common factor of 219 and 730?
73
Calculate the highest common divisor of 234 and 18.
18
Calculate the greatest common divisor of 1392 and 29.
29
What is the greatest common factor of 783 and 609?
87
Calculate the highest common divisor of 80 and 256.
16
What is the greatest common factor of 2 and 37?
1
Calculate the highest common factor of 494 and 10.
2
Calculate the greatest common divisor of 348 and 2004.
12
Calculate the greatest common divisor of 66 and 1210.
22
What is the highest common factor of 70 and 170?
10
Calculate the greatest common factor of 153 and 2941.
17
What is the greatest common divisor of 51 and 85?
17
Calculate the greatest common factor of 98 and 56.
14
Calculate the highest common factor of 581 and 63.
7
What is the highest common factor of 12 and 9?
3
What is the greatest common factor of 558 and 72?
18
Calculate the highest common divisor of 1140 and 13965.
285
Calculate the greatest common divisor of 3 and 213.
3
Calculate the greatest common divisor of 992 and 3348.
124
What is the highest common factor of 19 and 2033?
19
Calculate the greatest common factor of 11724 and 12.
12
What is the greatest common factor of 4007 and 1?
1
What is the greatest common factor of 15 and 8355?
15
Calculate the greatest common divisor of 14 and 203.
7
Calculate the greatest common divisor of 36 and 15408.
36
Calculate the highest common divisor of 208 and 784.
16
What is the greatest common divisor of 162 and 642?
6
Calculate the highest common divisor of 830 and 60.
10
What is the greatest common factor of 475 and 95?
95
Calculate the highest common divisor of 120 and 2256.
24
What is the highest common divisor of 18 and 10?
2
Calculate the highest common factor of 704 and 96.
32
What is the greatest common factor of 103752 and 33?
33
Calculate the greatest common divisor of 489 and 10432.
163
What is the greatest common divisor of 3 and 9?
3
What is the greatest common divisor of 9 and 1791?
9
Calculate the highest common factor of 429 and 78.
39
Calculate the greatest common divisor of 159 and 21147.
159
What is the greatest common divisor of 1357 and 23?
23
What is the greatest common factor of 2196 and 636?
12
Calculate the highest common factor of 156 and 60.
12
Calculate the highest common divisor of 336 and 1281.
21
What is the greatest common factor of 3060 and 48?
12
Calculate the greatest common divisor of 732 and 9028.
244
Calculate the highest common factor of 2 and 911.
1
What is the greatest common factor of 40 and 680?
40
Calculate the highest common divisor of 176 and 242.
22
Calculate the highest common divisor of 80 and 5360.
80
What is the greatest common factor of 205 and 18819?
41
Calculate the greatest common divisor of 4 and 2544.
4
What is the highest common divisor of 45 and 90?
45
What is the highest common factor of 387 and 9?
9
What is the highest common factor of 225 and 144?
9
Calculate the greatest common factor of 92 and 4439.
23
What is the greatest common factor of 381 and 9271?
127
Calculate the highest common factor of 52 and 176.
4
Calculate the greatest common divisor of 30 and 150.
30
Calculate the greatest common factor of 21 and 56.
7
What is the greatest common divisor of 252 and 18?
18
What is the highest common divisor of 17 and 61591?
17
What is the highest common factor of 592 and 16?
16
Calculate the greatest common divisor of 85 and 15.
5
Calculate the highest common factor of 6 and 6.
6
What is the greatest common factor of 705 and 75?
15
Calculate the highest common factor of 24 and 5892.
12
What is the greatest common factor of 9402 and 18?
6
Calculate the greatest common divisor of 9 and 243.
9
Calculate the greatest common factor of 1622 and 2.
2
Calculate the greatest common factor of 4495 and 580.
145
What is the highest common factor of 30 and 23610?
30
Calculate the highest common divisor of 2015 and 1023.
31
What is the highest common divisor of 1581 and 17?
17
Calculate the highest common factor of 1236 and 132.
12
What is the greatest common factor of 1976 and 304?
152
What is the highest common factor of 176 and 56?
8
Calculate the greatest common factor of 434 and 186.
62
What is the greatest common factor of 1592 and 4?
4
Calculate the highest common factor of 2072 and 280.
56
What is the highest common divisor of 2562 and 56?
14
Calculate the greatest common factor of 650 and 25.
25
What is the greatest common factor of 539 and 275?
11
What is the highest common factor of 7442 and 122?
122
Calculate the greatest common divisor of 50 and 23825.
25
What is the highest common divisor of 287 and 80647?
287
Calculate the highest common divisor of 9120 and 24.
24
What is the highest common divisor of 8 and 1492?
4
What is the greatest common divisor of 106 and 212?
106
What is the greatest common factor of 2120 and 40?
40
Calculate the highest common factor of 12 and 2172.
12
What is the highest common factor of 1846 and 284?
142
What is the greatest common factor of 68 and 3808?
68
Calculate the highest common factor of 8874 and 116.
58
What is the highest common divisor of 3232 and 101?
101
What is the highest common factor of 57 and 684?
57
What is the highest common divisor of 357 and 147?
21
What is the highest common divisor of 40 and 10830?
10
Calculate the highest common divisor of 245 and 10.
5
Calculate the greatest common factor of 22 and 2750.
22
What is the greatest common divisor of 406 and 161?
7
What is the greatest common divisor of 4077 and 9?
9
Calculate the greatest common divisor of 92 and 23.
23
Calculate the highest common divisor of 8 and 2776.
8
What is the highest common factor of 91 and 2951?
13
Calculate the highest common factor of 2286 and 72.
18
What is the greatest common divisor of 790 and 490?
10
Calculate the highest common fact
|
{
"pile_set_name": "DM Mathematics"
}
|
divide 935?
True
Is 204 a multiple of 6?
True
Does 87 divide 49851?
True
Is 728 a multiple of 14?
True
Is 16 a factor of 3056?
True
Does 329 divide 41754?
False
Does 44 divide 3275?
False
Does 7 divide 243?
False
Is 145 a factor of 101355?
True
Is 10 a factor of 2228?
False
Does 14 divide 26659?
False
Is 403 a multiple of 13?
True
Does 3 divide 434?
False
Does 29 divide 9019?
True
Is 40 a factor of 25531?
False
Is 15 a factor of 1620?
True
Is 51 a factor of 1530?
True
Does 9 divide 66596?
False
Is 56 a factor of 5600?
True
Does 6 divide 3205?
False
Is 11 a factor of 143?
True
Is 2136 a multiple of 24?
True
Is 150 a factor of 7030?
False
Is 8 a factor of 1009?
False
Is 17 a factor of 7458?
False
Is 10 a factor of 990?
True
Does 12 divide 1692?
True
Is 49391 a multiple of 210?
False
Does 13 divide 111?
False
Is 2 a factor of 19136?
True
Does 7 divide 854?
True
Is 3648 a multiple of 38?
True
Is 656 a multiple of 4?
True
Is 14562 a multiple of 6?
True
Is 37050 a multiple of 57?
True
Is 10 a factor of 2490?
True
Is 183 a multiple of 18?
False
Does 5 divide 162?
False
Is 8 a factor of 34672?
True
Is 2 a factor of 381?
False
Does 84 divide 50361?
False
Does 20 divide 420?
True
Is 69 a factor of 8625?
True
Is 197 a factor of 9062?
True
Is 33 a factor of 5108?
False
Is 80 a factor of 880?
True
Is 40 a factor of 2384?
False
Does 98 divide 77714?
True
Is 18 a factor of 8478?
True
Does 43 divide 559?
True
Is 17 a factor of 746?
False
Does 21 divide 336?
True
Is 166 a factor of 3585?
False
Is 49 a factor of 3283?
True
Does 21 divide 14049?
True
Does 38 divide 2496?
False
Does 6 divide 4533?
False
Is 10 a factor of 923?
False
Does 5 divide 165?
True
Does 239 divide 478?
True
Is 9004 a multiple of 6?
False
Is 18 a factor of 14634?
True
Is 25 a factor of 266?
False
Is 10 a factor of 273?
False
Does 32 divide 672?
True
Does 46 divide 1383?
False
Is 11 a factor of 10934?
True
Is 17 a factor of 4522?
True
Does 150 divide 78750?
True
Is 4524 a multiple of 19?
False
Does 15 divide 172328?
False
Is 6355 a multiple of 31?
True
Does 75 divide 21000?
True
Is 1758 a multiple of 9?
False
Does 8 divide 2464?
True
Is 5 a factor of 38122?
False
Does 26 divide 962?
True
Does 234 divide 12951?
False
Is 9 a factor of 2227?
False
Is 23 a factor of 207?
True
Does 173 divide 6433?
False
Is 7918 a multiple of 7?
False
Is 33 a factor of 1049?
False
Is 279 a multiple of 22?
False
Is 27588 a multiple of 114?
True
Is 25 a factor of 2500?
True
Is 8 a factor of 5300?
False
Is 36 a factor of 38604?
False
Is 33 a multiple of 2?
False
Is 33 a factor of 5841?
True
Is 71 a factor of 2101?
False
Does 36 divide 7704?
True
Does 11 divide 4598?
True
Is 13 a factor of 1240?
False
Is 6 a factor of 24543?
False
Is 21 a factor of 1701?
True
Is 2555 a multiple of 50?
False
Does 5 divide 287?
False
Does 32 divide 2784?
True
Is 10334 a multiple of 100?
False
Does 27 divide 351?
True
Is 2069 a multiple of 4?
False
Is 316 a multiple of 18?
False
Is 8 a factor of 70?
False
Is 189 a factor of 37987?
False
Is 6864 a multiple of 2?
True
Is 235 a factor of 22726?
False
Does 3 divide 3535?
False
Is 8 a factor of 373?
False
Is 46875 a multiple of 58?
False
Is 1385 a multiple of 5?
True
Is 6 a factor of 2804?
False
Is 16 a factor of 5232?
True
Is 27 a factor of 2349?
True
Is 1958 a multiple of 6?
False
Does 122 divide 20147?
False
Is 462 a multiple of 6?
True
Is 3 a factor of 14842?
False
Is 4122 a multiple of 9?
True
Is 40 a factor of 311?
False
Is 10 a factor of 2600?
True
Is 21 a factor of 162204?
True
Does 6 divide 12701?
False
Does 353 divide 29015?
False
Is 12 a factor of 15013?
False
Does 53 divide 477?
True
Is 31 a factor of 40765?
True
Is 19 a factor of 11881?
False
Is 67 a multiple of 10?
False
Is 2 a factor of 39?
False
Is 7 a factor of 26831?
True
Does 32 divide 10342?
False
Does 181 divide 10023?
False
Is 7 a factor of 225?
False
Is 17 a factor of 867?
True
Is 5696 a multiple of 64?
True
Is 127 a factor of 4445?
True
Is 1280 a multiple of 128?
True
Is 7 a factor of 308?
True
Is 15 a factor of 288?
False
Does 8 divide 1656?
True
Is 127 a factor of 3937?
True
Does 7 divide 1698?
False
Does 13 divide 34619?
True
Does 25 divide 134?
False
Is 366 a multiple of 61?
True
Is 1205 a multiple of 14?
False
Is 17 a factor of 306?
True
Does 57 divide 1219?
False
Is 2 a factor of 963?
False
Is 760 a multiple of 9?
False
Is 1170 a multiple of 2?
True
Is 22 a factor of 22792?
True
Does 15 divide 10090?
False
Does 25 divide 1025?
True
Is 2 a factor of 153?
False
Does 68 divide 14008?
True
Is 22 a factor of 132?
True
Does 17 divide 884?
True
Is 10 a factor of 200?
True
Is 600 a multiple of 25?
True
Does 120 divide 16200?
True
Is 1285 a multiple of 17?
False
Does 84 divide 2436?
True
Is 30 a factor of 16037?
False
Is 37 a factor of 77219?
True
Does 32 divide 352?
True
Is 66 a factor of 445?
False
Does 20 divide 228?
False
Is 110 a factor of 11110?
True
Is 1045 a multiple of 13?
False
Does 10 divide 10?
True
Does 23 divide 368?
True
Is 1935 a multiple of 9?
True
Is 372 a factor of 10416?
True
Is 66 a factor of 4320?
False
Is 9 a factor of 1147?
False
Does 83 divide 578?
False
Does 85 divide 2833?
False
Is 17 a factor of 528?
False
Does 19 divide 2717?
True
Does 115 divide 19327?
False
Is 3750 a multiple of 75?
True
Does 8 divide 9976?
True
Is 626 a multiple of 2?
True
Is 21 a factor of 126?
True
Does 7 divide 805?
True
Is 31499 a multiple of 217?
False
Is 4830 a multiple of 15?
True
Does 17 divide 904?
False
Does 9 divide 873?
True
Does 22 divide 2218?
False
Does 37 divide 5328?
True
Is 9122 a multiple of 5?
False
Is 5 a factor of 88?
False
Is 822 a multiple of 6?
True
Is 36 a factor of 15585?
False
Is 54 a factor of 6100?
False
Does 95 divide 35720?
True
Is 1070 a multiple of 5?
True
Is 15 a factor of 126990?
True
Is 736 a multiple of 16?
True
Is 52 a factor of 857?
False
Is 36614 a multiple of 14?
False
Does 114 divide 68323?
False
Is 3 a factor of 1628?
False
Is 8084 a multiple of 94?
True
Does 32 divide 608?
True
Is 4 a factor of 25?
False
Does 80 divide 17012?
False
Does 18 divide 6828?
False
Does 9 divide 2785?
False
Is 12 a factor of 6891?
False
Is 53 a factor of 2120?
True
Does 17 divide 33163?
False
Is 1628 a multiple of 74?
True
Is 7 a factor of 217?
True
Does 14 divide 580?
False
Does 33 divide 1782?
True
Is 33 a factor of 5641?
False
Is 1778 a multiple of 8?
False
Does 64 divide 6318?
False
Is 4971 a multiple of 13?
False
Is 68890 a multiple of 276?
False
Is 27210 a multiple of 30?
True
Is 3939 a multiple of 26?
False
Is 270 a multiple of 10?
True
Is 13 a factor of 5707?
True
Does 9 divide 1008?
True
Does 15 divide 675?
True
Does 78 divide 1560?
True
Does 21 divide 394?
False
Is 235 a multiple of 24?
False
Does 65 divide 2275?
True
Is 12860 a multiple of 5?
True
Does 3 divide 12321?
True
Is 1763 a multiple of 106?
False
Does 8 divide 74408?
True
Is 28 a factor of 1804?
False
Is 147 a multiple of 21?
True
Is 1081 a multiple of 47?
True
Is 30 even?
True
Is 9304 a multiple of 48?
False
Is 9 a factor of 4383?
True
Is 31 a factor of 3472?
True
Is 25560 a multiple of 60?
True
Is 4410 a multiple of 42?
True
Is 4023 a multiple of 149?
True
Is 27 a factor of 594?
True
Does 429 divide 82797?
True
Is 20 a factor of 456?
False
Is 106 a factor of 2729?
False
Does 3 divide 480?
True
Is 41 a factor of 3321?
True
Does 27 divide 5331?
False
Is 138 a multiple of 7?
False
Is 21 a factor of 3392?
False
Is 4 a factor of 145?
False
Is 1146 a multiple of 43?
False
Does 20 divide 620?
True
Is 33015 a multiple of 87?
False
Is 32012 a multiple of 53?
True
Is 6336 a multiple of 20?
False
Is 6 a factor of 546?
True
Is 32 a factor of 2815?
False
Is 53 a factor of 5637?
False
Is 308 a multiple of 12?
False
Is 2132 a multiple of 4?
True
Is 28827 a multiple of 5?
False
Is 25 a factor of 2308?
False
Is 2842 a multiple of 29?
True
Does 99 divide 9108?
True
Does 17 divide 6528?
True
Is 19 a factor of 42275?
True
Does 36 divide 1509?
False
Does 12 divide 3051?
False
Does 23 divide 552?
True
Does 94 divide 5573?
False
Is 14549 a multiple of 12?
False
Is 24 a factor of 12720?
True
Is 11 a factor of 30832?
False
Is 10 a factor of 3370?
True
Is 57 a factor of 3024?
False
Is 9072 a multiple of 126?
True
Is 320 a multiple of 10?
True
Is 2 a f
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l = -5864.47894 + 5814.479. Let u = -50 - l. Round u to four dps.
-0.0001
Let v = 0.092 - -0.498. Let x = v + -0.4. Let y = 0.1900032 - x. Round y to 6 dps.
0.000003
Suppose -2*p = 2*l - 686748, 3*l = 2*p + 7*l - 686744. Suppose -2*j - 2817508 = p. Let v = -11980442 - j. Round v to the nearest one million.
-10000000
Let x = 8 - 11. Let t(a) = -32224*a**2 - 4*a + 4. Let w be t(x). What is w rounded to the nearest one hundred thousand?
-300000
Let t = 71.296961357 + -0.297019857. Let o = 71 - t. What is o rounded to 5 decimal places?
0.00006
Let m be ((-54)/24)/(6/(-64)). Let t be -2 - 51 - m/(-8). What is t rounded to the nearest one hundred?
-100
Let i = -10.6 - -72.6. Let a = i - 61.9999924. Round a to six decimal places.
0.000008
Let j = 1046 - 1045.9999999142. Round j to seven decimal places.
0.0000001
Let x = -6.97 + 1.67. Let z = x - -5.300329. Round z to five decimal places.
0.00033
Suppose -5*f = 8 - 3. Let l be f*-6338*71 + 2. What is l rounded to the nearest one hundred thousand?
500000
Let v = -31 - -31. Suppose -29*a + 30*a + 2140000 = v. Round a to the nearest one hundred thousand.
-2100000
Let k = -1.6597496 + 1.66. Round k to five dps.
0.00025
Let z = 0.3983 + -2.2041. Let a = z - -1.8. Round a to three dps.
-0.006
Let y = 184 + -38. Let p = 146.079 - y. Let m = 1.089 - p. What is m rounded to one dp?
1
Suppose -4*o = 20, -2*o - 21 = n + 2*o. Let x be (n - (-2 - 1))*1. Let k(z) = 5425000*z**2 - z + 2. Let m be k(x). What is m rounded to the nearest 1000000?
22000000
Let t = -78483 + 1161575. Let f be 1 + 2 + 3/1 + -2. Suppose 4983088 - t = 2*k + f*l, -3*k + l + 5850001 = 0. What is k rounded to the nearest 100000?
2000000
Let n be 396/45 - 4/5. Let x be (-6*1*7)/(8/n). What is x rounded to the nearest ten?
-40
Let h(l) = -l**3 + 4*l**2 - 6*l + 4. Suppose 8 = -4*c, -9 - 5 = -5*d + 2*c. Let u be h(d). Round u to seven decimal places.
0
Let i(x) = -37666*x**3 + 3*x**2 + 5*x + 2. Let j be i(-7). Let h be (-5)/((-20)/j) + 0. Let w = h + -1749888. Round w to the nearest one hundred thousand.
1500000
Suppose 2604820 = 4*z - 3043056. Let o be 3/((-6)/(-1643932)) + 3. Let i = o - z. Round i to the nearest 100000.
-600000
Let n = -37 - -26. Let x = n + 11.0042. Round x to three decimal places.
0.004
Let x = -0.09354 - -0.093536147. What is x rounded to 7 decimal places?
-0.0000039
Let p = -1.09 + -27.11. Let u = p + 28.399. Round u to 2 decimal places.
0.2
Let x = -1.4 + -1.4. Let z = -2.943 - x. What is z rounded to 2 dps?
-0.14
Suppose -2*i = 5*z - 0*z - 416390, 0 = -3*i + 5*z + 624610. Let q = 71868 + 526332. Suppose 5*t = i - q. Round t to the nearest 10000.
-80000
Let v = -178 - -112. Let a = v - -66.0029. What is a rounded to 3 decimal places?
0.003
Suppose 6*l = 8*l - 406. Let h = 593 - l. Round h to the nearest 100.
400
Let n(c) = -37061*c**2 - 5*c - 4. Let w be n(4). What is w rounded to the nearest ten thousand?
-590000
Let a = -857 - -851.31. Let t = 0.01 - a. What is t rounded to the nearest integer?
6
Let m = 2874 + -1543. What is m rounded to the nearest 10?
1330
Let h = -1045018590.9999215 + 1045018956. Let i = h - 365. What is i rounded to 5 decimal places?
0.00008
Let r = -1.15 - 0.05. Let b = r + -9.8. Let x = b + 10.85. What is x rounded to one decimal place?
-0.2
Let m = -48 + 40. Let k(a) = -546*a**2 + 7*a. Let v be k(m). What is v rounded to the nearest ten thousand?
-40000
Let l = -16 - 299. Let s = -657 - l. What is s rounded to the nearest 100?
-300
Let a = -340.83 - -3.83. Let b = -336.99999699 - a. What is b rounded to seven dps?
0.000003
Let z = 0 + 0.06. Let w = 114.864 - 114.9240012. Let c = z + w. What is c rounded to 6 dps?
-0.000001
Let n = -148.13 - -3.13. Let t = 946.6 - 800.89. Let j = t + n. What is j rounded to one dp?
0.7
Suppose 0 = -21*m + 30*m - 18900000. Round m to the nearest one million.
2000000
Let s = 31.344 + -0.144. Let a = s + -2.2. Let i = 29.00108 - a. What is i rounded to four decimal places?
0.0011
Let d = -1754.627 - -1756. Round d to one dp.
1.4
Let s = 2.9383482 - 2.938. What is s rounded to five dps?
0.00035
Let p(j) = -j**3 - j**2 - 5*j + 6140. Let m be p(0). What is m rounded to the nearest 100?
6100
Let x = -1526 + 1526.0853. Round x to 3 decimal places.
0.085
Let s(a) = 799999*a**2 + 1. Suppose 3*u = -4*w + 8*u + 16, -5*u = 20. Let o be s(w). Round o to the nearest one hundred thousand.
800000
Let b = -2167 + 2387.9. Let c = 225 + -16. Let i = b - c. What is i rounded to the nearest integer?
12
Suppose 265 = -2*j + 3*v, 0 = -7*v + 3*v - 12. Let p = j - -227. What is p rounded to the nearest 10?
90
Let p = 0.276 - 1.0832. Let q = 1.18 - 0.38. Let k = p + q. Round k to 3 dps.
-0.007
Suppose -3*u + 14854 = 4*u. Let l(q) = 5*q**2 - 7*q + 4. Let z be l(6). Suppose 3*x - z = -u. Round x to the nearest one hundred.
-700
Let q = -29 + 34. Let v be (0 - -1) + (q - -31499994). Round v to the nearest one million.
32000000
Let t = 26 - 21.39. Round t to 0 dps.
5
Let x be -7*(1/4 - 105/196). Suppose x*v + 9690000 = -v. What is v rounded to the nearest one million?
-3000000
Let q = 5280 + -5531.1. Round q to the nearest 10.
-250
Let r = -1194 + -2226. Round r to the nearest one hundred.
-3400
Let b = 281.999999452 - 282. What is b rounded to seven dps?
-0.0000005
Let g = -514485 - -514471.00155. Let f = 14 + g. Round f to 4 decimal places.
0.0016
Let s = 12726.0009953 - 12726. Round s to five decimal places.
0.001
Let h = 0.6 + 0.6. Let d = h - 2.3. What is d rounded to the nearest integer?
-1
Let d = 0.03 - 30.03. Let i = -27.9 - d. Let u = i - 2.0856. What is u rounded to 3 decimal places?
0.014
Let v = -1315.96634 + 1334.1663622. Let p = -18.2 + v. Round p to 6 decimal places.
0.000022
Let z = 47 - 48.55. Let a = 3 + z. Let y = a - 0.26. What is y rounded to 1 dp?
1.2
Let d = 352604 + -352228.8016. Let w = 374 - d. Let t = w - -1.2. Round t to three dps.
0.002
Let t = 0.08 - -109.92. Let y = -200 + 323.9. Let g = t - y. What is g rounded to zero dps?
-14
Let h = 0.94 - 0.5. Let b = h - 0.8. What is b rounded to 1 dp?
-0.4
Let p = 97 - 86. Let g = -11.00000059 + p. What is g rounded to seven decimal places?
-0.0000006
Let k be -6 + (-6 - -7275) - 3. Round k to the nearest one thousand.
7000
Let w = -0.740128 + -75.282072. Let h = w + 76. Round h to 3 dps.
-0.022
Suppose -8*u + 4*u + 8 = 0. Suppose u*f - 229365 - 286625 = 0. Suppose 0*q + o + f = 3*q, -4*q = -5*o - 343975. Round q to the nearest 10000.
90000
Let k = 464.999996306 - 465. What is k rounded to seven dps?
-0.0000037
Let j = -1808.012 - -1818. Let u = j + -10. Let d = u - 3.288. What is d rounded to zero decimal places?
-3
Let w = 12042 - 11993.188. Let k = 38 + -87. Let t = w + k. What is t rounded to 2 dps?
-0.19
Let v = -678869.813362 - -678869. Let c = -0.08667 + v. Let u = c - -0.9. What is u rounded to 5 decimal places?
-0.00003
Let o = -131.1 + 138. Let l = 14.6 - o. Let q = -7.69938 + l. Round q to 4 decimal places.
0.0006
Suppose -3*u + 3*z - 3360012 = 0, -418482 = u - 5*z + 701538. Round u to the nearest one million.
-1000000
Suppose 0*r + 2*y + 20 = 3*r, -4*y = -4*r + 28. Let g(f) = -13334*f + 4. Let d be g(r). Round d to the nearest 100000.
-100000
Let n = -0.5 - -0.3. Let m = 0.0573055 + -0.257282. Let d = n - m. Round d to 6 decimal places.
-0.000024
Let t = 3.808 + 0.032. Round t to 0 decimal places.
4
Let m = -301 - -298.71. What is m rounded to the nearest integer?
-2
Suppose 9*m - 97188561 = 67403439. Round m to the nearest one hundred thousand.
18300000
Let w be 17408210/(-4) + 105/(-70). Let s(g) = -3276026*g + 2. Let n be s(-2). Let i = w + n. What is i rounded to the nearest 1000000?
2000000
Suppose 29*h = -3*o + 27*h + 278100002, -92699998 = -o + 2*h. What is o rounded to the nearest one million?
93000000
Let a(l) = -5*l**3 + 10*l**2 + 17*l - 14. Let w be a(14). Let j = w + 18236. Round j to the nearest one thousand.
7000
Let h = -8.8625 - -8.8515081. Let d = 10 + -10.011. Let s = d - h. Round s to six dps.
-0.000008
Let a = -2529414 + 4298014. Round a to the nearest 100000.
1800000
Let w = -0.86 + -40.14. Let z = -40.26 - w. What is z rounded to one dp?
0.7
Let d = 1.9898525 - -0.21016. Let h = d + -2.2. Round h to 6 dps.
0.000013
Let z = -9 - -10. Let h be (-8)/(5 + z + -4). Let j be 5/(10/h) +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0 - 2*q - 2 + 2 - q - 63*q + 431 - 431.
-66*q
Expand -3*z**3 + 2*z**3 + 2*z**3 + (1 - z - 1)*(-7*z**2 - 3*z**2 - 3*z**2) + 0*z**3 - 6*z**3 - 3*z**3.
5*z**3
Expand (-x + 9*x + 18*x)*(7*x**2 - 10*x**2 + x + 0*x).
-78*x**3 + 26*x**2
Expand (1 + 1 + 1)*(-2 + 2*b + 2) + (-776 + 392*b + 776)*(1 - 4 + 5)*(2 + 1 - 1).
1574*b
Expand (-i**2 - 2*i**2 + 2*i**2 + i**2 - 4*i**2 + 4*i**2 + (4*i - i - 2*i)*(0*i - 2*i + 3*i))*(3*i**2 + 19*i**2 - 13*i**2).
9*i**4
Expand (3*x - 2*x - 2*x)*(3 + x - 3)*(5*x - 42*x + 9*x).
28*x**3
Expand (-5*t + 3*t - 12*t)*(4 - 5 - 1) + 2*t - 2*t - t + 2*t + 0*t + 0*t + 6*t - 27*t - 11*t - 4*t.
-7*t
Expand (-40 - 7*m + 40)*(2 + 4 - 2) + (3 - 5 + 4)*(3*m + 4*m - 5*m) - 4*m + m + m.
-26*m
Expand (-2*s**3 + 5*s**3 - 2*s**3)*(5 - 2 - 15) + (s**2 + 4*s**2 - 4*s**2)*(0*s + 4*s - 2*s) + 3*s**3 + 3*s**3 - 3*s**3.
-7*s**3
Expand ((0*y + y + y)*(0*y - y + 0*y) + (3*y - 5*y + 3*y)*(y - 2*y + 0*y))*(-2 - 13 - 14).
87*y**2
Expand (2*x**3 - 2*x**3 - 3*x**3)*(-29*x + x**2 + 29*x) + x**5 + 4*x**5 - 4*x**5.
-2*x**5
Expand (2 - 2*y**3 - 2)*(-5 + 5 - 2*y) + 12*y**4 + 29*y**4 + 55*y**4.
100*y**4
Expand (w**2 + 3 - 3)*(-3*w**2 + 3*w**2 - 10*w**2 - 2*w - w**2 + 2*w + 5*w - 5*w + 2*w**2 + (-4*w + 4*w + w)*(w + 2*w - 2*w) - 2*w**2 + 4*w**2 + 0*w**2).
-6*w**4
Expand (-6 + 6 - 2*c)*(-1 - 4 + 4)*(4 - 2 - c - 2*c) - 27*c**2 + 328*c - 328*c.
-33*c**2 + 4*c
Expand 17*b + 6*b**2 - 17*b + (b + 2*b - b)*(2*b + 1 - 1) + b**2 - 2 + 2 + (0*b - b**2 + 0*b)*(-4 + 4 + 2) - b - 6*b**2 + b.
3*b**2
Expand (-7 + 6 + 19)*(-n + 4*n + 3*n) + 0 + 2*n + 0.
110*n
Expand 8*f**5 + 0*f**3 + 0*f**3 + (4 - 1 - 5)*(4*f**2 + f**5 - 4*f**2) + f**5 - 4*f**5 + f**5.
4*f**5
Expand (-6*t + 9*t + 2*t)*(210*t**2 + 18*t**2 - 1 - 18*t**2 + 1).
1050*t**3
Expand -3*g**2 + 3*g**2 + g**3 + (1 - 1 + g**2)*(-g - 2*g + 5*g) + 3 - g**3 - 3 - 246*g**3 - 2*g**2 + 2*g**2.
-244*g**3
Expand (2*k + 2*k - 3*k)*(27 + 20 + 0).
47*k
Expand (50*i - 50*i + 24*i**2)*(-5 - 1 + 1)*(3*i + 0*i + 0*i).
-360*i**3
Expand (26 + 2*i + 2*i - 28)*(-6*i + 6*i - 6*i)*(-6 + 6 - 3*i).
72*i**3 - 36*i**2
Expand (y - 1 - y + 2*y**2)*((2 + 2 - 3)*(1 + 0 - 3) + 22 - 30 - 29).
-78*y**2 + 39
Expand 1 - 1 + 2*w**3 + (-2855*w + 132*w**2 + 2855*w)*((-w + 1 - 1)*(-2 + 0 + 4) - 5*w + 0*w + 3*w + 5*w - 4*w - 3*w).
-790*w**3
Expand (-135 - 137 - 42)*(7 - d - 7).
314*d
Expand (-7*f**3 + 0*f**2 + 0*f**2)*(-8*f - 16*f - 10*f)*(-5*f + 3*f - f).
-714*f**5
Expand (-2*i**3 - 4 + 4)*(2*i - 1 + 1) + 3*i**4 - 3*i**4 + 2*i**4 + i**4 + i**4 + 0*i**4 + 0*i**4 - 2*i**4 + 3*i**4 + (-1 + 2 + 1)*(i**4 - 1 + 1).
3*i**4
Expand (-10 - 9 - 10)*(-4*s**2 - 2*s**2 + 4*s**2) + 1 - 1 + 2*s**2.
60*s**2
Expand (2 + 6*a - 2)*(3 + 1 + 1)*(a + a - 4*a).
-60*a**2
Expand (2*u**2 + u**2 - u**2)*(-u**3 - 2*u + 2*u) + 9*u**5 - 2*u**5 - 6*u**5 - u**4 + (3*u**3 - 3*u**3 - 2*u**3)*(4*u**2 - 2*u**2 + 15*u**2).
-35*u**5 - u**4
Expand -3*f**3 + 2 - 2 + (-17 - f**2 + 17)*(-1 + 0 + 3)*(4*f - 2*f + f) - 2*f**3 + 3*f**3 + f**3.
-7*f**3
Expand -2*a**5 + 0*a**4 + 0*a**4 + (a - 6*a + 3*a)*(2 - a**4 - 2) + 7*a**5 + 0*a**5 - 245*a**3 + 236*a**3.
7*a**5 - 9*a**3
Expand -354*y**5 + 111*y**5 + 70*y**5 + (-5*y + y + 3*y)*(y**4 + 0 + 0) + 5*y**5 - 3*y**5 + 0*y**5.
-172*y**5
Expand (2*h - h + 0*h)*(3*h + 2*h**2 + 43*h + 17*h + 5*h**2).
7*h**3 + 63*h**2
Expand 2*x**4 - 4*x**4 + 0*x**4 - x**3 + x**3 + 3*x**4 + (4*x**4 + 4*x**4 + 3*x**4)*(4 - 4 + 2).
23*x**4
Expand (v - v - v)*(3 + 2 - 4) - 57 + 24*v + 57 - v + 5*v + 3*v.
30*v
Expand ((-1 - 4 + 4)*(0*k + 4*k - 2*k) - 2*k - 3*k + 4*k + 0*k + k + 0*k)*(7 - 11 + 12)*(3 - 3 + 4).
-64*k
Expand (-2*s - s + 4*s)*(9*s**2 - 74*s**2 - 2 + 3*s**2).
-62*s**3 - 2*s
Expand (-3*p**2 - 169*p + 169*p)*(22 + 2 - 3).
-63*p**2
Expand (-5 + 1 + 2)*(-1 + 1 + 1)*(-5 + 0 + 6)*(0*i + 0*i - 2*i**5 + (395*i**5 - 195*i**5 - 243*i**5)*(0 + 2 + 1)).
262*i**5
Expand (7*v - 7*v + 7*v)*(3 + 2 - 3)*(-5*v + 3 - 3).
-70*v**2
Expand (0*w**3 - 12*w**3 - 8*w**3)*(2*w + 2*w - 3*w) + 6*w**3 - 3*w**4 - 6*w**3.
-23*w**4
Expand (-4 + 2 + 0)*(2*b - 2 + 2) + 0*b + 73*b + 25*b.
94*b
Expand -3*f**2 + f**2 + 0*f**2 + (f + 2*f - f)*(-3 - 2*f + 3) + 2*f**2 - 2*f**2 - 2*f**2 + 124*f - 44*f**2 - 71*f - 51*f.
-52*f**2 + 2*f
Expand -2*k + 2*k**4 + 2*k + (4 + 2*k**3 - 4)*(4*k - 6*k + 4*k) + 2*k**4 - 2*k**3 + 2*k**3 - k**4 + 0 + 2*k**4 - 1 + (-3*k + 3*k + 9*k**3)*(0*k + 3*k + k).
45*k**4 - 1
Expand 0*h**4 + 3*h**4 + h**4 + (-26*h - 26 + 26)*(-3*h**3 - 3*h**3 + 3*h**3) - 2*h - h**4 + 2*h.
81*h**4
Expand (2054*p**2 - 4035*p**2 + 2412*p**2)*((-1 - 1 + 3)*(2 + 2*p - 2) - 2*p + 4*p - p - 2 + 2*p + 2 - 4*p + 0*p + 5*p - 2*p + 2*p - p).
2155*p**3
Expand (-15 - 8*t**4 + 6 + 6)*(0*t - t - t).
16*t**5 + 6*t
Expand (1 - 1 - 2)*(2*a + 3 - 3) + 2*a - 3 + 3 + (9649 - 4777 - 4824)*(4 - 1 - 1)*(5*a - 3*a - 3*a).
-98*a
Expand (0 + 0 - 1)*(-2 + 2 + 4*o) + 0 - 3*o + 0 + (4*o - o - 4*o)*(5 - 2 - 1).
-9*o
Expand (6 - 4 - 22)*(5 - 3 + 1)*(-2*t - 5*t + 6*t).
60*t
Expand -85*t**3 - 85*t**3 - 16*t**3 + (-2*t**2 + 3*t**2 + t**2)*(-4 - t + 4) + 2*t**3 + t**3 - 2*t**3 + (-2*t + 4*t + 0*t)*(-5*t**2 + 3*t**2 + t**2).
-189*t**3
Expand z**4 + 2*z**4 - 5*z**4 + (z**3 - 1 + 1)*(-4*z + 5*z - 3*z) - 91*z**3 + 884*z**4 - 4*z**2 - 887*z**4 + 4*z**2.
-7*z**4 - 91*z**3
Expand z**5 + z**4 - z**4 + z**4 - 2*z**5 - z**4 + (z**3 - z**3 - 2*z**3)*(0 + 2*z**2 + 0) - 173 + 30*z**5 + 173.
25*z**5
Expand (4*r**3 - 16*r + 2*r - 49*r)*(1 - 2 - 1).
-8*r**3 + 126*r
Expand -3*z**2 + 3*z**2 - 3*z**2 + (-z**2 + 0*z**2 + 2*z**2)*(2 - 4 + 1).
-4*z**2
Expand ((-47 - 20 - 45)*(1 + 4 - 3) + 0 - 3 + 0)*(0*y**2 - 4*y + 5*y - 2*y**2)*(4 - 4 - 2*y).
-908*y**3 + 454*y**2
Expand 3 - 3 + 2*m**3 + (11*m - 6*m - m)*(2 - 2 + 3)*(40 - 40 - 7*m**2).
-82*m**3
Expand (0 + 6 - 1)*(-2*m**3 - 285 + 285 - m**2).
-10*m**3 - 5*m**2
Expand u**4 + 2*u**3 + 0*u**4 + u**2 + u**4 - 2 + (-u + 0*u + 2*u)*(24*u**3 + 4*u - 4*u).
26*u**4 + 2*u**3 + u**2 - 2
Expand (-5 + u - 10 + 13)*(0 + 15 + 4).
19*u - 38
Expand (2 - 2*o**2 - 2)*(0 - 1 - 2) + 920*o - 920*o + 51*o**2.
57*o**2
Expand (3*t**2 + 3*t**2 - 4*t**2)*(t**3 - 7*t**3 + 0*t**3) - t**2 - t**5 + t**2 + (-t + 1 - 1)*(2*t**2 - 2*t**4 - 2*t**2).
-11*t**5
Expand -56487 + 56487 - 810*j**2 + (-2*j + 0 + 0)*(j - 2*j - j) + 4*j**2 - 5*j**2 + 0*j**2.
-807*j**2
Expand -4*a**2 + 2*a**2 + a**2 + a**2 - 4*a**2 + a**2 + (-6*a + 0*a + a)*(5 + a - 5) + 4*a**2 - 4*a**2 - 3*a**2.
-11*a**2
Expand (-2 + 3 - 3)*(-4*b + 6*b + 0*b) + 809*b - 36 + 36.
805*b
Expand (4 + 273*q - 91*q - 5)*(q**2 + 2*q - 2*q).
182*q**3 - q**2
Expand (5*r**3 - 2*r**3 + 4*r**3)*(32*r**2 + 2 - 2).
224*r**5
Expand (2*l - 2 + 2)*(l**2 + 0*l + 0*l) + ((-1 - l + 1)*(-2*l - 3*l + 6*l) + 78 - 78 - 19*l**2)*(3 - 3 - 2*l).
42*l**3
Expand (u + 3*u - 5*u)*(1205*u + 1256*u - 2403*u).
-58*u**2
Expand -9791*n**3 + 10*n**4 + 9791*n**3 + (0*n + 0*n + 2*n**4)*(4 - 1 - 1) + 0*n**4 - n**4 - n**4.
12*n**4
Expand -4*b + 4*b + 11*b + 0*b + 2*b + 0*b + 2 - 2*b - 2 + (0 + 0 - 2)*(-2*b - 2 + 2).
15*b
Expand (-w**3 + 5*w**3 - 5*w**3)*(0*w - 3*w + 4*w) + (-2 + 0 + 0)*(12*w**4 + w**2 + 3 - 1403*w + 1403*w).
-25*w**4 - 2*w**2 - 6
Expand (-88*l**5 + 256*l - 256*l)*(-3 + 2 + 0)*(2 - 1 - 7).
-528*l**5
Expand ((-k**2 + k**2 - 2*k**2)*(0 - 1 + 2) - 2*k**2 - 5*k**2 - k**2 + k**2 - 2 + 2)*(-1 - 2*k**2 + 1).
18*k**4
Expand (4 - 5 + 5)*(3*o + 0*o + o) + (0 - 2 + 1)*(-4*o + o + o).
18*o
Expand (35 - 22 + 69)*(2*l + 4*l - 3*l).
246*l
Expand 5*v**4 + 2*v**2 - 2*v**2 + v**3 - 2*v**4 - v**3 + (2*v**2 - v**2 - 3*v**2)*(-v + v + v**2) - 4*v**4 - 4*v**4 + 2*v**4.
-5*v**4
Expand (g**2 + g**3 - g**2)*(60*g**2 - 509*g - 513*g + 1023*g).
60*g**5 + g**4
Expand (1 + 3 - 2)*(4*d + 23 + 2*d - 6*d + 4*d).
8*d + 46
Expand (-1 + 1 + t)*(-77 + 28 + 30*t + 47).
30*t**2 - 2*t
Expand (3*r + r - 2*r)*((-2*r + r - 2*r)*(0 - 3 - 3) - 3 + 3 - 2*r) + r**2 + 2*r**2 - 2*r**2.
33*r**2
Expand ((y**2 + 8*y**2 - 2*y**2)*(-1 + 3 + 5) + (1 + 2 - 2)*(4*y - 2*y - 3*y)*(0*y + 16*y - 4*y))*(2*y - 7*y + 4*y).
-37*y**3
Expand 2*c**3 + 3*c**3 - c**3 + (-23*c - 19*c**2 + 23*c)*(0 + 0 + 2*c) + 2*c**3 - 2*c**2 + 0*c**2 + c + 10*c**2.
-32*c**3 + 8*c**2 + c
Expand (20*u - 3*u + 8*u)*(5*u + 0 + 2 - 7*u)*(-4 + 4 - 2*u**2).
100*u**4 - 100*u**3
Expand (0*r + r + 12*r)*(49 - 142 + 69).
-312*r
Expand (-4*z**2 + 2*z**3 + 4*z**2)*(4*z + 0*z - 6*z)*(38 - 115 + 37).
160*z**4
|
{
"pile_set_name": "DM Mathematics"
}
|
/(z/(z*z*z/(z**(-4)/z))))/z*z**(-8)*z**(-2/9)/(z**(-2/15)/z)*(z/z**6*z*z/z**(-8))/(((z**(-1)*z)/z)/(z**(-3/2)/z)) assuming z is positive.
z**(487/90)
Simplify ((o*o**(17/5)*o)/o*o*o**(-1/17)*o*o**(-29)*o**10)**(-14) assuming o is positive.
o**(15064/85)
Simplify ((y**0*y)**(-1/22)*(y/(y/y**(-2/7)*y*y))**37)/((y**(-1)/y*y)**(-2/43)/(y/(y/y**(-2)))**(-40)) assuming y is positive.
y**(-30881/6622)
Simplify ((j**(-1)*j**(2/19)/j)/(j*j/(j/j**(2/7))*j/j**(1/6)))/((j**7*j*j*(j*j**7)/j*j)/((j**8*j)/(j*j/(j*j*j**(-2/27))))) assuming j is positive.
j**(-86815/7182)
Simplify ((g**(-2)*g)**13*g**(-12)/(g/(g*(g/(g*g**(-16)))/g*g)*g*g))**(-5/14) assuming g is positive.
g**(55/14)
Simplify (((y**1)**(-13/6)*y**(2/3)/(y**(-9)*y))**19)**(7/10) assuming y is positive.
y**(1729/20)
Simplify (x**(-11)/x*x**13)**(-11)*(x**2*x**(2/13))/(x/((x/((x*x**6)/x))/x)*x*x/(x/(x/((x*x/x**(-9)*x)/x*x)))) assuming x is positive.
x**(-76/13)
Simplify (((v*v/((v*v*v**2*v*v)/v*v))/(v/((v/(v*v**(-24)))/v)*v))/((((v*v/(v*v**(-8))*v)/v)/v)/v*v*v**(-10/9)/v))**(2/19) assuming v is positive.
v**(200/171)
Simplify ((a**(-2/7)*a)/(a*a/(a**(-3)*a*a)*a)*(a**(-1/4))**(-2/95))/((((a/a**(1/4))/a)/a)**(2/39)/((((a**(1/4)/a)/a)/a*a)/a**(-5))) assuming a is positive.
a**(3491/103740)
Simplify ((b*b**29)/b*b**(-2/81)/b*b**(2/55)*b*b**(17/2))**(-32/7) assuming b is positive.
b**(-763952/4455)
Simplify (o**(-3)/o*o**(-2/5)/o)**(-23/5)/(o**(1/5)/o**(-2)*((o**(-2/7)*o)/o)**(-50)) assuming o is positive.
o**(1462/175)
Simplify (u**(1/3)*u**(-2/5))**(2/69)/((((u**(1/2)/u*u)/u)/u*u*u*u*u*u)**(1/32))**14 assuming u is positive.
u**(-50779/33120)
Simplify ((r*r**24)/((r/r**(8/7)*r)/r)*r**(-7)*r**(-17))**19 assuming r is positive.
r**(152/7)
Simplify ((l/((((l*l**(-2/9)/l)/l)/l)/l))/l)**1*(l**(2/3)*l)**29*(l/(l/(l**2*l)))**(3/43)*(l/(l**(-2/3)*l)*l)**39 assuming l is positive.
l**(45188/387)
Simplify ((z**0)**(-2/5)*z**(-4/5)*z/(z/(z/(z**5/z*z*z))))/((z*z**(-13))/(z**(4/9)*z))**6 assuming z is positive.
z**(1123/15)
Simplify (((n*(n*n/n**(-1/4))/n)/((n/n**6)/n))/((n*n**(-6)/n*n*n)/(n*n**(2/5)*n)))/((n**(-2/7))**(-2/23)*n**(-3/4)/n**(-6)) assuming n is positive.
n**(7547/805)
Simplify ((y*y*y/(y/y**11*y)*y*y**(-1/15))/(y*y/((y**(-7/6)*y)/y)*y**(2/31)))**21 assuming y is positive.
y**(63161/310)
Simplify ((u**1/(u*(u**(6/5)*u)/u))/(u*u/(u/u**(-2/11))*u*u)**(7/4))**0 assuming u is positive.
1
Simplify (h**(2/13)*h/h**(-2/3))/(h**5/h**1)*(h**(-1/2)*h**3)**(-43) assuming h is positive.
h**(-8555/78)
Simplify ((i/(i*(i/i**(-6/17))/i)*i**(-19))**(9/2))**(-1/13) assuming i is positive.
i**(2961/442)
Simplify (x/x**(-1/8)*(((x/x**(-8))/x)/x*x)/x)/(x**(1/3)*x*x**(-2))*(x*x/((x*x**1)/x))**(-13/5)*(x/x**(-2/25))/(x**(-1/6)/x) assuming x is positive.
x**(5063/600)
Simplify (((k/(k/(k/k**(-3/2)))*(k**(2/3)/k)/k)/((k*k/k**(-4/5))/(k/(k/(k/((k**(-2)*k)/k))))))**37)**(-17) assuming k is positive.
k**(-25789/30)
Simplify l/((l*l**6)/l*l)*l**4*l**(-3)*l/l**(1/3)*((l*l**(-1))**(1/4))**(2/43) assuming l is positive.
l**(-13/3)
Simplify ((g/(g**(-1)/g))**(-5/4))**(-17)*((((g*(g**1*g)/g)/g)/g)/g)**(-24)*(g**(-2/5))**(-8) assuming g is positive.
g**(1819/20)
Simplify u**(-4/3)*u/(u*u**(-4/19)*u)*u**(-21/4)/(u/((u/u**(5/9))/u)) assuming u is positive.
u**(-6107/684)
Simplify (a**(-12/5))**21/(a*a**(-1/13)*a*(a*a**(-46)/a)/a) assuming a is positive.
a**(-346/65)
Simplify z**(-2/11)*z/(z**3/z*z)*z/z**(4/3)*z/(z/(z**0*z))*(z**2/((z**(2/5)*z)/z))**(-6/17) assuming z is positive.
z**(-5834/2805)
Simplify ((q**1)**(-26)*(q**6/q)/(q*q**0))/(((q**1*q)/q)**(-37)/(q*q*q*q*q/q**(-1)*q*q*q**1)) assuming q is positive.
q**24
Simplify (((b*b**(2/5))/b)/b)**27/(b/((b**(-2/7)*b)/b)*b**(-8))*b*b/(b**(-2/7)/b)*b**(4/9)*b*(b**(-2/3))**46 assuming b is positive.
b**(-1594/45)
Simplify ((j**(1/5)/j)/j**2)**(-34/5)/((j**(-2/3))**(3/8)*j**(-6)/j*j*j**(1/3)) assuming j is positive.
j**(7487/300)
Simplify (t**(2/11)/(t/((t/(t/t**(7/5)))/t))*t**(8/3)/((t*t**6)/t))/(t**(-10)*t*t*((t*t/t**(-2))/t)/t*t)**(-8/5) assuming t is positive.
t**(-1939/165)
Simplify v*(v*v**31)/v*v*v*v*(v**(-21)/v)/v*(((v*(v/(v/(v*v**(-12)*v*v))*v*v)/v)/v)/v)/((v**(9/4)/v)/v) assuming v is positive.
v**(11/4)
Simplify (t**22*t*t*t)**(-9)*(t*t**(-13)*t)/(((t**(5/6)*t)/t)/t) assuming t is positive.
t**(-1415/6)
Simplify ((f/(f*f/(f**(-4)*f)))/f*f**(1/4))/(f*f**(-4/5)*f**(-2/13))*(f**(1/2))**(-5)/((f*f**(-2/5)/f*f)/f)**(-24/11) assuming f is positive.
f**(-23363/2860)
Simplify (d*d**2*d)**(-40)*d**7*d*d/d**(3/4)*(d**0)**(6/11)/(d**(-9)/d*d/d**(-1/4)) assuming d is positive.
d**(-143)
Simplify ((z**(1/4))**(-2)*(z/(z*z**(1/2))*z)**16)/((z/z**5*z)/z*z*z*z*z**(-2/9)*z*z**(-2/7)*z/(z**(1/5)/z)) assuming z is positive.
z**(3911/630)
Simplify ((w/(w*w/w**(-2/11))*w*w**20)/((w*w**24)/(w*w*w*w**(-17))))**(-16) assuming w is positive.
w**(3376/11)
Simplify ((g**(-9)*g*g)/((((g**16*g*g)/g)/g)/g)*(g/(g/(g**(4/3)/g)))**(-1/26))**(-4/5) assuming g is positive.
g**(3434/195)
Simplify ((o*o**2)**24)**(-18/5)/((o**(2/3))**(-3/4)/(o/(o*o**4)*o**(-3))) assuming o is positive.
o**(-2657/10)
Simplify (((r/(r*r**(2/21)*r*r))/r)/((r*(r**(-9)*r)/r)/r))**1*r/r**8*r/(r*r/r**3*r)*r**(-5/2)/((r*r/r**(-5)*r)/r) assuming r is positive.
r**(-403/42)
Simplify ((d/(d**1/d*d))**34)**(-4/3)/(((d/(d**(-3/4)*d))/d*d)/d*d/d**(-1/11))**(-19) assuming d is positive.
d**(703/44)
Simplify (((n*n/(n/(((n/(n**29*n*n))/n)/n)*n)*n)/n*n)**2/(n**2*n)**31)**(-39) assuming n is positive.
n**6045
Simplify ((y/(y**(5/8)*y))/(y*y/y**7))**(-11/2)/(y/y**(3/7)*(y/y**(-1/4))/y)**36 assuming y is positive.
y**(-6007/112)
Simplify (i**(-2/5))**(-23)*(i**(-2/5))**(-8/3)*(i/i**(-2/27)*i/i**9)/(i**(-2/7)*i)**(-17) assuming i is positive.
i**(14632/945)
Simplify ((l*l**(-34)*l)/l)**31*l**33/l**(-44) assuming l is positive.
l**(-946)
Simplify (q**0)**41*((q**1*q)/q)**(-21)*((q/q**(-1))/q)/(q**1/q)*q**(1/8)*q/(q/((q/q**(-3))/q*q)) assuming q is positive.
q**(-127/8)
Simplify (((k**(-1/8)*k/(k**(1/24)*k)*k)**(-7/4))**48)**36 assuming k is positive.
k**(-2520)
Simplify ((((v/(v/(v*v**(-4/5)))*v)/v)/(v/(v*v/v**13*v)))/(v*v**(-2/3)/v)**(-12))**(-40) assuming v is positive.
v**752
Simplify r**2*r*r**(-8)*r*r**(5/13)*r*r**(22/9) assuming r is positive.
r**(-20/117)
Simplify (z/z**(-3/2)*z/((z**(-2/7)/z*z)/z)*(z**7*z)**(1/26))**48 assuming z is positive.
z**(22248/91)
Simplify ((x/((x/(x/x**(-1/2)))/x*x))/x*x*x*x)**(-2/37)*(x*x**(-1)/x*x)**45*(x*x/(x**(2/7)/x)*x*x/x**0)/((x/(x*x**(-2/3))*x)/x)**(-9) assuming x is positive.
x**(2726/259)
Simplify ((f**(-7/4)*f)/(f**(-1/9)*f))**(-1/15)*(((f/f**11)/f)/f**(-14))**(2/111) assuming f is positive.
f**(3263/19980)
Simplify (((c*c*c/c**(-1/2)*c)**15*(c**(-1/5))**(1/67))**(-4/27))**(-22) assuming c is positive.
c**(1989812/9045)
Simplify ((z**(-5))**(-29)*(z/z**10)/z*(z/(z/(z**(9/7)*z)))/z)**(-4/21) assuming z is positive.
z**(-1272/49)
Simplify (d**(-10/13))**41*(d/((d/(d/(d*((d**(-8/3)*d)/d)/d)))/d))**(6/11) assuming d is positive.
d**(-4146/143)
Simplify ((q/q**(-2/3))**(-23)/(q**(-28)*q**13*q*q))**42 assuming q is positive.
q**(-1064)
Simplify ((y**(-11)*y)**17*(y**(6/7)*y)/y**(-8))**39 assuming y is positive.
y**(-43719/7)
Simplify (t*t**33*t)/t**(8/15)*t*t**(-14/9)*t*t/((t/(t**(2/31)/t))/t*t) assuming t is positive.
t**(47396/1395)
Simplify (l/(l*(l*l**(-9))/l*l*l)*l**(-2)*l**3*l**(-3/8)*l)/(((l**(1/4)*l*l)/l*l*l*l**(-3/4))/(l*l/(l*(l*l*l**0)/l))**49) assuming l is positive.
l**(49/8)
Simplify (i**(-1/4)*i**(1/7)/i)/((i**1/i)/i**(-3))*(i**(-1/4)/(i/i**(2/13)))**(-4) assuming i is positive.
i**(101/364)
Simplify ((q/q**(-2/7)*q**(-4))/((q*q/(q*q*q**(-6)))/q*q**(2/27)/q))/((q**3)**8)**(-34) assuming q is positive.
q**(152941/189)
Simplify (t**(1/2)/t**(8/11)*t*t**5*t/(t/(t/((t*t**1)/t)*t)))**(17/5) assuming t is positive.
t**(2533/110)
Simplify ((r**(-2/49)*r)/r**10*r**14/(r*r**(3/4)))**(-23) assuming r is positive.
r**(-14467/196)
Simplify ((i**(1/7)*i*i**0*i)/(i*i**1*i**5))/(i**(-3/5)*i**2)**40 assuming i is positive.
i**(-426/7)
Simplify (n/(n*n/n**(-2/7))*n*n*n)**(-1/58)/((n**(1/5)*n)/(n*n**(1/10)/n))*(n**(2/5))**(-6/17)/(n**4*n*n**(-4)) assuming n is positive.
n**(-78363/34510)
Simplify (a**(4/7)*a**(2/7))**(-30)*(a**(2/3)*a*a)**(12/11)/(a**(-2/3)/(((a/(a**(-3)/a)*a)/a)/a)) assuming a is positive.
a**
|
{
"pile_set_name": "DM Mathematics"
}
|
p?
True
Let n = 4.55 + 0.05. Which is smaller: n or -2?
-2
Let r(o) = -2*o - 6. Let f be r(-6). Let l be (3/f)/(1/34). Suppose -4*n = n - 2*p - l, 0 = 4*n + p - 24. Is n greater than 4?
True
Let q be (-9)/4 + 12/48. Let a = -14 - -16. Suppose 2*n + 12 = -2*n, 0 = -f + a*n + 5. Is q > f?
False
Let u(t) = -28*t - 140. Let h be u(-5). Which is smaller: h or -5/67?
-5/67
Let p(q) = -q**3 - q**2 + 94. Let a be p(0). Let t be (0 - -2) + (-190)/a. Which is smaller: 0 or t?
t
Suppose 45 = 8*l + 29. Suppose 1 = -2*i + 3, -4 = -l*r + 2*i. Are r and 54/13 nonequal?
True
Let u = 2 + -10. Let i = 21.1 - 126.1. Let l = i - -105.1. Are l and u unequal?
True
Suppose 9 = 5*f - 156. Let d be 4/(-22) - (-10456)/f. Let q = 313 - d. Which is bigger: -3 or q?
-3
Suppose -3*l + 3 = -2*l. Let p(g) = 5*g - 7. Let r be p(3). Suppose -k = -r + 6. Which is smaller: l or k?
k
Let w be (-48)/70 + 4/10. Let v = 30 - 33.2. Let r = -4.2 - v. Is r greater than w?
False
Let z = -1.5234 + -0.0766. Is z < -18?
False
Let c be 125/(-3)*-24*11/(-836). Which is smaller: c or -12?
c
Let f be (-1 + 2)*2/(-12). Let t(j) = j**2 + 2*j + 3. Let u be t(0). Suppose n + u = 2. Is f >= n?
True
Let t be ((-210)/(-9))/(-7)*12. Let j be (-141)/(-15) + 16/t. Which is bigger: 5 or j?
j
Let s(c) = -52*c + 132. Let u be s(-6). Which is bigger: u or 445?
445
Let l(p) = -16*p + 7 + 5*p + p**2 + 3*p. Let k be l(7). Is k greater than 2/43?
False
Suppose -2*p - 2*p = 2*l - 34, 0 = -2*p - 2*l + 18. Let g be (-4)/p - (-346)/(-4). Let r be (-3 - g/18) + 0. Which is bigger: r or -0.1?
r
Let g = 1601 + -1605. Which is bigger: -2/27 or g?
-2/27
Let l be (3/(-4)*-4)/((-2)/(-12)). Is 17 equal to l?
False
Let k(c) be the third derivative of -c**4/24 + 2*c**3/3 + 5*c**2. Let h be k(3). Let w be (1/5)/(5/2). Which is smaller: h or w?
w
Let l = -0.05 + 0.24. Let d = 1645 + -1573.9. Let r = -71 + d. Does l = r?
False
Let d(r) = -r + 1. Let x be d(1). Let v = 0.54 + 0.16. Let u = 3.7 - v. Is u greater than x?
True
Suppose h + 2*h - 30 = 0. Suppose -4*d + 2*d - h = 0. Let x be (-2)/d - (-1078)/(-70). Is x at least as big as -14?
False
Let y(q) = -q**2 + 9*q + 14. Let r be y(10). Let f = -4 + r. Suppose -5*c = -10, -6*c = 4*h - 2*c - 12. Is f >= h?
False
Suppose -2*x = 18*x + 3360. Is -837/5 equal to x?
False
Let j = 3.01 + -3. Let h = 0.04 + j. Let f be 4/(-9)*6 - -3. Which is smaller: f or h?
h
Let o = -71/4 + 10007/564. Which is greater: o or 0?
0
Let m = -3 + 7. Suppose m*g - 12 = 32. Let c be -1 - -1 - 24/(-2). Which is greater: c or g?
c
Let m = -0.03 - 1.97. Let q = m - 1. Let w = 225 + -227. Is w greater than q?
True
Let j(o) = -o**3 - 9*o**2 - 18*o - 1. Let s be j(-6). Is -6/35 equal to s?
False
Let q(x) = -x**2 - 31*x - 208. Let t be q(-17). Let k be 4/30 - 926/(-30). Is k equal to t?
False
Let u = 15.5 - -2.5. Let p = 0.27 + -18.37. Let i = p + u. Is 3 less than or equal to i?
False
Suppose 74*m = 88*m + 56. Is m >= 6?
False
Let j = 259 + -80. Is j != 179?
False
Suppose w = 89 - 77. Let u be (15/6 - 4)/((-3)/w). Is -5/2 != u?
True
Let v be 42*3 + 3 + (-12)/4. Let d = -1894/15 + v. Which is smaller: d or 1?
d
Let l be 22/143*(-3)/219. Is l at most 0?
True
Suppose 380*i - 374*i + 6912 = 0. Is -1152 less than i?
False
Let y(z) = -z**3 + 5*z**2 + z + 12. Let f be y(5). Are 16 and f equal?
False
Let h be (-35)/14*(-6)/15. Is h bigger than 1/56?
True
Let o = -1.279 + 0.179. Let m = -2 + 1.9. Let v = o - m. Is 1/2 at least v?
True
Let m be (336/(-45) - 12/(-15)) + 6. Which is smaller: m or 0?
m
Let v = 676 + -25014/37. Let a(n) = -n**2 + n + 56. Let f be a(-7). Which is smaller: f or v?
v
Let z be (5/(-3905))/(14/(-4) + 3). Which is greater: 0 or z?
z
Suppose 19 = -13*k + 45. Suppose -3*o - 3*h = 39, -3*o + k*o - 2*h = 12. Which is bigger: o or -16?
o
Suppose 10*j = 18*j + 24. Is -1 < j?
False
Let y(v) = -8*v**2 + 6*v**2 + 8 + 26*v + 5*v. Let l be y(15). Which is bigger: l or 22?
l
Suppose -21 = -5*t + 184. Let j = 40 - t. Is j <= 2?
True
Let u be 10/25*-10*(-21)/(-12). Which is bigger: -55/7 or u?
u
Let t be ((-13)/10)/((-40)/75). Do 1 and t have different values?
True
Let x = -1423 - -1367. Does x = -9?
False
Let b be 34/(-10) + 2 - (-8)/20. Which is smaller: b or -3/34?
b
Suppose -c - 7*i = -9*i + 1, 0 = -2*c - 5*i - 20. Is 0.9 not equal to c?
True
Let q be 6/(-27) + (-12)/(432/10). Are 2/541 and q nonequal?
True
Let c = 319 + -395. Which is smaller: c or -75?
c
Let b(n) = -3*n**2 + n + 1. Let p be b(-2). Let s = p + 8. Let w be s/(-12) + 8/(-12). Is 0 <= w?
False
Let h(o) = -o**2 + 6*o - 6. Let w be h(4). Suppose -2*r = -j + 15, r + 0 + 42 = w*j. Let k = j - 24. Which is greater: -1/36 or k?
-1/36
Let y = -32122/80475 - -44/111. Which is bigger: -1 or y?
y
Let z = -1.22 - -0.59. Let w = 0.6 + z. Let m = 5.97 - w. Which is smaller: -1 or m?
-1
Let z be (((-147)/70)/(-21))/((-14)/(-6)). Is z >= 1?
False
Let m = 19 + -28. Let n = m - -9. Suppose n = -0*s - 4*s + 8, -2*y + 2*s - 6 = 0. Is -2 > y?
False
Let h = 3 - -1. Suppose 0*z - 2 = -z. Suppose 2*t + 5*n = -z, t - h*n = 5*t + 4. Which is smaller: t or 1/4?
t
Let t = 6 - 1. Let f = -12 + t. Let q(v) = v**2 + v - 6. Let b be q(0). Is f greater than b?
False
Let f be 88/14 - (-12)/(-42). Which is smaller: 5 or f?
5
Let s(t) = 2*t**2 + 13*t + 38. Let c be s(-4). Which is smaller: 12 or c?
12
Let p = -1 + 1. Let a = 1/34 - -229/306. Is p at most a?
True
Let d(a) = 2*a + 3. Suppose 0 = 11*n - 8*n. Let j be 2 + n + -2 + 1. Let f be d(j). Which is bigger: 7 or f?
7
Suppose o + 0*o = 1. Suppose -3*q + n - 16 + 19 = 0, -q + 2*n = -11. Which is smaller: o or q?
q
Suppose 25 - 13 = -3*a + 3*k, -3*a = -4*k + 15. Let f be 3/(-5) - (-2)/(-5). Is f not equal to a?
False
Let m be 30/(-75) - (-2991)/15. Which is bigger: m or 201?
201
Let a = -4715.8 + 4716. Let f(y) = -y**3 - 7*y**2 - 5*y + 5. Let s be f(-6). Let p be s/3 - (-21)/45. Is a equal to p?
False
Let g = -45 + 45.1. Which is smaller: -0.432 or g?
-0.432
Suppose k - 296 = -3*u + 59, u - 129 = 5*k. Which is greater: u or 118?
u
Let r(g) = -2*g**2 + 6*g - 6. Let b be r(4). Let k be (-2)/2 + b/(-7). Let d be 10/(-45)*(-6)/4. Which is smaller: d or k?
d
Let g be 1 + (-11)/(3476/(-984)) + -4. Is g <= -1?
False
Let w = -17.16 - 8.84. Is w >= -6?
False
Let k be 4/8*24/15*-5. Let g(w) = -7*w - 35. Let l be g(k). Is l equal to 3/7?
False
Let s(x) = -156*x**2 - 9*x + 4. Let h be s(-1). Which is greater: -142 or h?
-142
Let d = 64 - 46. Let k = d - 17.9. Which is greater: k or -0.2?
k
Let y(j) = -3*j**2 + 5*j - 22. Let b be y(-6). Which is smaller: b or -161?
-161
Let u be 9/4 + 5/(-20). Suppose u*m = 4*m. Let y be -1*m*(-2)/(-4). Does -1 = y?
False
Let x(u) = -u**2 - 4*u + 32. Let n be x(-8). Do -0.16 and n have different values?
True
Suppose 396 - 1021 = 5*o + 4*u, 5*o + u + 640 = 0. Are o and -129 equal?
True
Let b be -3 + 3 + 1 + 2. Let k be (b/21)/(90/(-3493)). Let r = k - -2/45. Is -6 != r?
True
Let d(k) = k**3 + 6*k**2 + 2*k - 10. Let n(q) be the second derivative of -q**5/10 + q**4/3 - q**3/2 + 8*q. Let y be n(2). Let o be d(y). Is -21 greater than o?
True
Suppose -4*k + 5 = -3*k + w, 0 = -5*k + 2*w + 11. Let d = 0 + k. Is d greater than or equal to 3?
True
Let b = 61/18 + -10/3. Is 1 bigger than b?
True
Let d(a) = 12*a**3 + 2*a**2 - a - 3. Let w be 11/(-33) + 4/(-6). Let q be d(w). Is -10 at most as big as q?
False
Let q = -214407/218 - -1967/2. Is 1 equal to q?
False
Let g be -2 - 11 - 1 - -1. Let q be (-15)/g - (-1 + 2). Is -1 bigger than q?
False
Let t be 1/((-6)/1356*2). Is t > -114?
True
Let y = -81 + 83. Suppose 0 = y*s + a - 5, a - 2*a = -4*s + 19. Which is bigger: 2/7 or s?
s
Let t = -18983/40 + 2356/5. Let b = -15115 - -15112. Is b at least t?
True
Let k(o) = -o**3 - 12*o**2 - 13*o + 3. Let x be k(-11). Let u = -25 + x. Which is smaller: 1 or u?
u
Suppose -u - 610 = -2*j - 2355, 5*u - 5*j = 8750. Let d be 3 - 3/(u/1745). Is d at most -1?
False
Let g(s) = s**2 + 19*s + 41. Let x be g(-13). Is -14 at most as big as x?
False
Let h = 183 - 190. Which is bigger: 12 or h?
12
Suppose 2*a - 3*a + 17 = 4*c, -4*a + 16 = 3*c. Let n be 6 + (-4088)/(-24) + (-2)/(-3). Let d = -1592/9 + n. Is d at least a?
False
Suppose 4*p - 41 - 7 = 0. Suppose -4*z + 3*a + 15 = 0, -p = -z + 4*a + 8. Let q be -1 + 1 - 2/(-30). Is z less tha
|
{
"pile_set_name": "DM Mathematics"
}
|
losest to -2 in -0.1, h, -3?
-3
Let i = 53/4 + -13. Which is the nearest to -1/2? (a) i (b) -2 (c) 0.1
c
Let i be 8/(-2)*(-10)/(-8). Let t = 413/3 + -137. What is the closest to 1/4 in -0.3, t, i?
t
Let z be 10/(-4)*4/(-15). Let t = 0.16 - -0.24. Which is the nearest to z? (a) -4/9 (b) t (c) 0.3
b
Let o(p) = -p**3 + 12*p**2 - 10*p - 2. Let i be o(11). Let v be -6*((-36)/(-40))/i. What is the nearest to -2/11 in v, 3/2, 3?
v
Let n = -0.7 - -0.66. Let j = n - 0.16. Which is the nearest to -2/7? (a) -5 (b) -3 (c) j
c
Suppose 19 - 7 = 3*x. Let a(z) = -z**2 - 6*z - 5. Let q be a(-4). Let l = q - x. What is the nearest to l in -2, 4, -1?
-1
Let i be (-1)/4 - (-2)/8. Let l = 50 - 27. Let v = -25 + l. Which is the closest to v? (a) -3/2 (b) i (c) 4/3
a
Let h = 0.7 + -0.1. Let l = 0.5 - h. What is the closest to l in 0.2, -2, 1/7?
1/7
Let u = 0.11 - 0.1. Which is the closest to 0? (a) 0.5 (b) u (c) 2/7
b
Let z = -0.082 + 1.082. Which is the closest to 6? (a) 5/4 (b) z (c) -1
a
Let k = -1 + -1. What is the closest to 1/4 in -3, k, 1/8?
1/8
Let l be ((-2)/3)/(4/18). Let t be (-3)/l - (-16)/(-12). Which is the closest to 1? (a) -4 (b) t (c) 1/3
c
Let r = -0.026 - -0.226. What is the nearest to -2/7 in r, -1/2, -0.3?
-0.3
Let i = -0.1 + -2.9. What is the closest to -0.1 in 0.3, -1.3, i?
0.3
Let j be -12*(12/9)/(-2). Suppose q = 5*y + j, 3*q - 4*y + 0*y = 13. Which is the closest to 3? (a) -1 (b) 0 (c) q
c
Let c be (-2 - -1)*(-2)/5. Let s = 0.06 - 0.16. What is the nearest to s in -4, 0.3, c?
0.3
Let w = -5 - -6. Let u = -0.2 + 0.6. What is the nearest to w in u, 5, 3?
u
Let x = 1273/9 + -141. What is the closest to 1/6 in 0.4, -2, x?
0.4
Let d = -4.17 + 3.17. Let q = 3.8 - 3. Let b = -3.2 - q. What is the closest to d in 5, b, 4?
b
Let c = -33 - -33.5. What is the closest to 2/5 in -3, -0.5, c?
c
Let t = -75.7 + 77.7. Suppose z = 4*z - 3. Let h be (-1)/2 + 0 + 0. What is the closest to -1 in h, z, t?
h
Let d = 543 + -575.3. Let b = d - -30. Let u = b - -2. What is the closest to 1 in 6/7, -3, u?
6/7
Let o = -23/12 + 9/4. Let d = 0.12 + 7.88. Let i = d + -13. Which is the nearest to o? (a) i (b) 0.2 (c) 2
b
Let x = -2.3 - -2. Which is the closest to 0? (a) 2 (b) x (c) 3
b
Let n = -1.7 - -1.7. Let d = 3/10 + 1/5. Which is the closest to d? (a) -1 (b) 0.5 (c) n
b
Let b = -765/28 + 107/4. What is the nearest to 0 in b, -4, -0.4?
-0.4
Let l be (417/(-4))/((-15)/(-12)). Let a = -83 - l. Let o be 5*-6*(-1)/10. What is the closest to a in o, 0.2, 2?
0.2
Let p = -2 - -0.5. Let d = -0.5 - p. Which is the nearest to d? (a) -0.2 (b) 2/5 (c) 0.1
b
Let y = -203 - -196.58. Let u = 0.62 + y. Let t = u - -0.8. What is the closest to 1 in t, 1/6, -4/9?
1/6
Let a be 3/35 - 4/14. Suppose 4*y = 3*j + 5, 3*y + 2*y + j + 8 = 0. Let x be (-2 - -3)*y - -2. What is the nearest to x in 4/3, 1, a?
1
Let u(n) = -11*n + 11. Let a be u(8). Let t be (-2)/2 + a/(-91). What is the nearest to -0.2 in t, 0.5, 3?
t
Let o = 7 + -11. Let s be (-6)/(-4)*o/24. Let q = 0.4 - 0.3. Which is the closest to 0? (a) s (b) q (c) -4
b
Let p = -2/223 + 1119/446. Let t = 0 - 0.1. What is the nearest to 2/3 in p, t, 3?
t
Let f be (135/(-12))/(-5) + -2. Which is the nearest to 0.1? (a) f (b) -1/4 (c) -0.5
a
Let d = -0.14 - -1.64. Let k = d - 6.5. What is the closest to 0 in 1, k, -2/3?
-2/3
Let b = -4.9 - -5. Let r = 30 + -57/2. What is the nearest to b in 2/23, r, 1/4?
2/23
Let g = -37 - -33. What is the closest to 1 in g, 0.3, -0.4?
0.3
Let f = 0 - 0.1. Suppose 5 = -33*a + 32*a. What is the closest to 0 in f, -3/4, a?
f
Let s = 0.2 - 0.3. Let y = 3.153 + -0.153. Which is the closest to s? (a) -1 (b) 4 (c) y
a
Let k be -2 - (4/(-14) - 2). Suppose -4 = 2*z - 12. Let v = -2.1 + 2. Which is the nearest to k? (a) -3 (b) z (c) v
c
Let m be -2 - (-2 - (-2)/(-32)). Let t = -13/48 - m. Which is the closest to -1? (a) -4 (b) t (c) 0.2
b
Let f be (-3)/(18/40) + 18/27. Which is the closest to -1/4? (a) 3/7 (b) 2/7 (c) f
b
Let j be 16/21 - 6/18. Let g be (2 - (8 - 2)) + 2. Let o be (-2)/(-3) + g/(-6). Which is the closest to 0? (a) 0.5 (b) o (c) j
c
Let k = -10 - -10.5. Let p = 10 + -7. Which is the nearest to 0.1? (a) p (b) k (c) -0.01
c
Suppose 1 + 11 = 6*s. Suppose -3*a = -4*j + 70, j - 76 = 5*a - a. Let f be ((-8)/a)/((-2)/3). What is the closest to f in 4, -1/2, s?
-1/2
Let o = -0.05 - 2.95. Which is the nearest to 9/4? (a) 0.3 (b) o (c) 5
a
Let s = 0.8 + -1. Let v = 0.6 - 2.6. Let l = 6 + -8. Which is the nearest to l? (a) 0.5 (b) s (c) v
c
Suppose 5*p = -4*b - 40, b = 4*p - 3*b + 68. Let j be (-22)/(-24) + p/48. What is the nearest to 1 in -3/4, 1, j?
1
Let x = 2.04 + -0.04. Let t = x + -3. Let j = -0.4 - -0.4. What is the nearest to j in -5, -1/4, t?
-1/4
Let f = 40.5 - 41. Suppose 5*u = 6 + 9. What is the nearest to 0.2 in f, -3, u?
f
Suppose -2*q + 4*r + 3 - 19 = 0, 2*q + 4 = -2*r. What is the nearest to -0.2 in 2/11, 2/9, q?
2/11
Let i(s) = -s. Let x be i(0). Let g be (8/6 - x)*3. Let k = -55/2 + 28. Which is the nearest to -0.1? (a) g (b) 2/13 (c) k
b
Let w = -16/15 + 2/5. Which is the closest to w? (a) -3 (b) -5/7 (c) -1
b
Let g = 0.19 + -0.09. Which is the closest to -0.1? (a) g (b) 0.4 (c) 4
a
Let x = -222335951/651 - -341530. Let p = 2/93 + x. Let n(v) = -v**2 - 2*v - 1. Let g be n(-1). What is the nearest to g in p, 0.1, 2?
0.1
Let f = 239/28 + -33/4. Suppose -r - 4*r = 20. Which is the nearest to f? (a) 3 (b) 0 (c) r
b
Let p be (-7)/21*(-17)/(-6). Let d = 4/9 + p. Which is the closest to -0.2? (a) -5 (b) -0.3 (c) d
b
Let w = -8 - -8.5. Let a = 2 + -7. Let x be (-10)/4*1/(-10). What is the closest to x in a, w, -0.2?
w
Let m be (-2 + (2 - (-1)/(-3)))/1. What is the closest to 0 in 5, -7, m?
m
Let q = -0.4 + -0.1. Let l = q - 0. Let a = l - -0.5. What is the closest to a in 4, 5, 0.5?
0.5
Suppose 0 = f + v + 3, 0*v - 3*v - 21 = 5*f. Suppose 8 = -25*x + 23*x. Let z = x - f. Which is the closest to 0? (a) 3/5 (b) z (c) -5
a
Let t = -0.1 - 0.9. Let c be ((-4)/6)/(0 - -2). Let b = c - 1/15. What is the closest to 2/3 in t, 4, b?
b
Let k = 174 + -173. Which is the nearest to -0.22? (a) -2/13 (b) 5 (c) k
a
Let t be 1/1 - 3 - 1. Let y be 8/t - (-1)/(-3). Let h = -0.43 + 0.03. What is the nearest to -1 in y, 2/3, h?
h
Let n = -17 - -12. Let o = n + 2. Let j = 22 - 22.3. Which is the closest to 1? (a) -2/3 (b) j (c) o
b
Let f = -106.64 - -106.7. Let n(a) = a**2 + 3*a + 1. Let u be n(-3). What is the nearest to u in 1, f, 3?
1
Let y be (-20)/8 + (-2)/(-1). Let b = 1.1 - 2.1. What is the nearest to 1 in b, 0.1, y?
0.1
Let w = -2 - -3. Suppose -2*q + 3*q = 0, 5*p + 20 = -3*q. Let u be (-9)/35 - (-12)/30. Which is the nearest to 0? (a) u (b) p (c) w
a
Let y = -1494/17 + 88. Let w = y - 25/68. Which is the nearest to -0.1? (a) -0.4 (b) -0.2 (c) w
b
Let h = -4 - -6. Let y = -67/2 + 32. What is the closest to -0.1 in -0.1, h, y?
-0.1
Let k = 77 + -76.9. Suppose 4*g = 2*h + 98, 5*g - 167 - 53 = 5*h. Let r be 2/6 - (-7)/h. What is the closest to k in -5, r, -0.3?
r
Let s = 8 - 7.7. Let v = s + -0.8. Let r = 74 + -443/6. Which is the nearest to 0.1? (a) r (b) 0.3 (c) v
a
Let w be (-8)/(-60)*21/4. Let g = 3/10 - w. Which is the closest to g? (a) -5 (b) 0 (c) 0.5
b
Let s be (-8)/(-12)*((-27)/33)/(-3). What is the nearest to 1/3 in s, 2/9, -3/7?
2/9
Let g = 0.1 + 0.4. Let h = 0 - g. Let x = h - -0.3. What is the closest to 0 in -5, x, 2?
x
Let u be (-9)/(-15) - 3/15. What is the nearest to u in -2/13, 0.02, -5?
0.02
Let p = 192 + -192. Which is the closest to p? (a) -7 (b) 4/7 (c) -0.1
c
Let g = -97.9 + 98. Let t = 9 - 14. What is the closest to g in -9, -0.2, t?
-0.2
Let l = -4.4 + 4. Let g = l - -0.37. Let j = g - 0.07. What is the closest to j in -0.4, -2/9, -4?
-2/9
Let t = -13 + 8. Let q = -1 - -3. Suppose 2*h + q = 4*h. What is the nearest to 1/4 in t, h, -3?
h
Let g = 154/15 - 32/3. Let b = 0.2 + -0.4. What is the nearest to b in -1, g, -1/3?
-1/3
Let x = -17.1 - -16. Let p = -1 - x. Which is the closest to -2/3? (a) p (b) -4 (c) 2
a
Let q = -43/110 + -1/110. Which is the closest to -0.3? (a) 2 (b) q (c) 5
b
Suppose 4*g + 101 + 91 = 0. Let f be 8/6*(-8)/g. Which is the closest to -1? (a) -2 (b) -1/4 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
Round 35.4362143 to the nearest integer.
35
Round -0.0012588684 to six decimal places.
-0.001259
What is -0.142154051 rounded to 4 dps?
-0.1422
What is -54.85396218 rounded to two decimal places?
-54.85
Round -35543.26264 to the nearest 10.
-35540
Round -35.1475437 to two decimal places.
-35.15
What is -10.30750974 rounded to four decimal places?
-10.3075
Round 0.00006137164208 to 5 decimal places.
0.00006
What is 14371100749 rounded to the nearest one million?
14371000000
What is -2167961240 rounded to the nearest 1000000?
-2168000000
Round 0.0000007825552 to seven decimal places.
0.0000008
What is 0.0076994732 rounded to 5 dps?
0.0077
What is 124652.3155 rounded to the nearest one thousand?
125000
What is 0.12704782955 rounded to 3 decimal places?
0.127
What is 112009.7165 rounded to the nearest 1000?
112000
What is 26.460464 rounded to 2 dps?
26.46
Round -307.856924 to the nearest one hundred.
-300
What is 0.0397468569 rounded to 5 decimal places?
0.03975
What is -0.137757212 rounded to four dps?
-0.1378
Round -0.000319882503 to 5 dps.
-0.00032
Round -0.005361033684 to five decimal places.
-0.00536
What is -2595592350 rounded to the nearest 1000000?
-2596000000
Round 0.000087662985 to 6 dps.
0.000088
Round -73.072345 to the nearest ten.
-70
What is 410007.104 rounded to the nearest 10000?
410000
Round 0.0123603586 to 5 decimal places.
0.01236
What is 0.002297935048 rounded to 6 dps?
0.002298
What is -7116.79695 rounded to the nearest one thousand?
-7000
What is -243332.5137 rounded to the nearest 100000?
-200000
Round 0.41038727 to two dps.
0.41
What is 965.0157079 rounded to 2 decimal places?
965.02
Round -0.0000617487634 to seven decimal places.
-0.0000617
Round 0.4091503055 to 4 dps.
0.4092
What is -14497513.007 rounded to the nearest 1000000?
-14000000
Round -600539.19 to the nearest 100000.
-600000
Round 0.08417897 to four decimal places.
0.0842
What is 1157907.86 rounded to the nearest one hundred thousand?
1200000
Round -0.0000025231655 to seven dps.
-0.0000025
Round -10223018 to the nearest one hundred thousand.
-10200000
What is -1148481.31 rounded to the nearest 1000?
-1148000
Round -0.15586026043 to 2 dps.
-0.16
Round -3211288.96 to the nearest ten thousand.
-3210000
What is -55.392435 rounded to the nearest ten?
-60
What is -12.17724299 rounded to 2 dps?
-12.18
Round 12.71058048 to the nearest integer.
13
What is -24.7213066 rounded to the nearest ten?
-20
Round 73419510.4 to the nearest 100000.
73400000
Round -2.25843065 to 2 dps.
-2.26
What is 39.6078413 rounded to two decimal places?
39.61
Round 246.717959 to 1 dp.
246.7
Round 2759250.053 to the nearest 100000.
2800000
What is -0.00000477464827 rounded to 7 dps?
-0.0000048
Round -5236734.9 to the nearest 1000000.
-5000000
Round -0.0420311935 to three dps.
-0.042
What is 0.0038395701 rounded to 3 dps?
0.004
What is 3110099442 rounded to the nearest 100000?
3110100000
Round -6.53920291 to the nearest ten.
-10
What is 3909.52536 rounded to the nearest one thousand?
4000
Round -0.002005028403 to 5 decimal places.
-0.00201
What is 0.17824876 rounded to four decimal places?
0.1782
What is -18735.7463 rounded to the nearest 10?
-18740
Round -832.903514 to the nearest integer.
-833
Round 0.835198725 to 4 dps.
0.8352
What is 0.007305313112 rounded to 3 dps?
0.007
What is 0.00429077532 rounded to five decimal places?
0.00429
What is 1.38485921 rounded to two dps?
1.38
What is -8393265.46 rounded to the nearest one thousand?
-8393000
Round -3.329153481 to 3 decimal places.
-3.329
Round -4927404.634 to the nearest 100000.
-4900000
What is -2295669.5 rounded to the nearest ten thousand?
-2300000
What is 8.0762096 rounded to two decimal places?
8.08
What is 4523.31198 rounded to the nearest one thousand?
5000
What is 104313506.9 rounded to the nearest one thousand?
104314000
Round -91.8768 to 2 decimal places.
-91.88
What is -12.0515758 rounded to 3 dps?
-12.052
What is 32766.702 rounded to the nearest ten?
32770
Round -0.00000806685171 to 6 decimal places.
-0.000008
What is 399904.6082 rounded to the nearest one hundred?
399900
Round -43453756.5 to the nearest 100000.
-43500000
Round -26.25234 to the nearest integer.
-26
Round -16242524.48 to the nearest 1000000.
-16000000
Round 393929440.7 to the nearest ten thousand.
393930000
What is -7314.91071 rounded to the nearest 10?
-7310
What is 2.4919559 rounded to 1 decimal place?
2.5
What is -0.1494528678 rounded to five dps?
-0.14945
Round 19.419372 to the nearest integer.
19
Round -2.98257398 to the nearest integer.
-3
Round -0.884528816 to 3 decimal places.
-0.885
What is -0.20184717409 rounded to three decimal places?
-0.202
Round 21.3802806 to two decimal places.
21.38
What is -1.37457097 rounded to 3 decimal places?
-1.375
What is -25354.8489 rounded to 0 dps?
-25355
What is 1878937.41 rounded to the nearest 1000000?
2000000
What is -41428090.19 rounded to the nearest ten thousand?
-41430000
What is -120.2785644 rounded to two decimal places?
-120.28
Round -81.7237201 to the nearest 10.
-80
Round 0.00221039146 to six decimal places.
0.00221
What is 51.2484812 rounded to the nearest 10?
50
Round -10227731.6 to the nearest one thousand.
-10228000
What is 0.00202301186 rounded to 3 dps?
0.002
What is -2271583.09 rounded to the nearest one hundred?
-2271600
What is 2086430.98 rounded to the nearest one hundred?
2086400
What is -0.923342953 rounded to three decimal places?
-0.923
Round -4497582.53 to the nearest 1000.
-4498000
What is 0.0029515124 rounded to six decimal places?
0.002952
Round -0.03861232314 to 2 dps.
-0.04
Round -188.560879 to the nearest integer.
-189
What is -0.1491407661 rounded to 4 dps?
-0.1491
Round 621479.5185 to the nearest one thousand.
621000
What is 8461.417 rounded to 1 dp?
8461.4
Round -0.2412942 to 3 decimal places.
-0.241
Round 0.505669909 to 5 dps.
0.50567
Round -0.004919183 to five dps.
-0.00492
Round -120298543.7 to the nearest 100000.
-120300000
What is 0.0008266489021 rounded to five dps?
0.00083
Round 41262312.5 to the nearest 100000.
41300000
Round 0.0000002607349174 to 7 decimal places.
0.0000003
What is 3866882.14 rounded to the nearest ten thousand?
3870000
Round 2043.2194 to the nearest integer.
2043
What is -607.656692 rounded to two dps?
-607.66
What is -632650340 rounded to the nearest 1000000?
-633000000
Round -0.0071297955 to four decimal places.
-0.0071
Round -0.00972169344 to 3 decimal places.
-0.01
Round -7650689.99 to the nearest 1000.
-7651000
What is 30.334810614 rounded to 3 decimal places?
30.335
What is -2415.6438 rounded to the nearest 1000?
-2000
Round -667333.62 to the nearest ten thousand.
-670000
Round 4165.2494 to the nearest one thousand.
4000
Round -24956542.5 to the nearest 100000.
-25000000
What is -0.0000055714166 rounded to 7 dps?
-0.0000056
What is 6951.773296 rounded to the nearest 100?
7000
What is -308.09917 rounded to one dp?
-308.1
What is 3230.3935 rounded to the nearest ten?
3230
Round 11.264327 to two decimal places.
11.26
Round -0.04342948 to 2 dps.
-0.04
Round -19370.352 to the nearest 100.
-19400
What is 47.42896 rounded to 2 decimal places?
47.43
What is 1547.871735 rounded to the nearest 100?
1500
What is -4787668800 rounded to the nearest 100000?
-4787700000
What is 1556.209952 rounded to the nearest 1000?
2000
What is -5482.9089 rounded to the nearest one hundred?
-5500
Round 283213085.7 to the nearest one million.
283000000
What is 0.000089197782 rounded to 5 dps?
0.00009
What is 0.000099890624 rounded to seven dps?
0.0000999
What is 66577961 rounded to the nearest 10000?
66580000
Round 0.00094611081 to six dps.
0.000946
Round 693544.13 to the nearest 100000.
700000
Round 6737989.21 to the nearest one thousand.
6738000
Round -64394.4394 to the nearest 100.
-64400
What is 0.0065503996 rounded to 6 decimal places?
0.00655
Round -799.0711266 to the nearest 10.
-800
What is -4531.56641 rounded to the nearest 100?
-4500
Round -1853837855.3 to the nearest one million.
-1854000000
What is -0.4227884 rounded to two decimal places?
-0.42
What is -13827.6818 rounded to 0 dps?
-13828
Round 24.13912 to the nearest integer.
24
Round -5287743 to the nearest ten thousand.
-5290000
Round 0.00044533322 to 7 dps.
0.0004453
Round -0.00059325831 to five decimal places.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
s i(y) + 10*o(y)?
-782*y + 8
Let y(g) = -40*g**2 - 15*g - 15. Suppose -5*d - 6 - 14 = 0. Let b(t) = 2459 - 10*t**2 - 3*t - t - 2463. Give d*y(l) + 15*b(l).
10*l**2
Let t(a) = -22*a**2 - 5*a + 1326. Let w(s) = -8*s**2 - 2*s + 443. Determine 3*t(g) - 8*w(g).
-2*g**2 + g + 434
Let k(a) = -29*a**3 - 9*a**2 - 9*a - 9. Let w(c) = 7*c**3 + 2*c**2 + 2*c + 2. Suppose -135*l - 17 = -159*l + 31. Determine l*k(b) + 9*w(b).
5*b**3
Let p(r) = -3*r**2 - 4*r + 4. Let z(w) = -2 - 4*w + 11 - 5*w + 0 - 7*w**2. Let d be -3 - (5/(-10)*106)/1. Let u = d - 52. Calculate u*z(k) + 5*p(k).
-k**2 - 2*k + 2
Let q(n) = -6*n - 1. Let g(u) = 80*u - 10. Give g(p) - 4*q(p).
104*p - 6
Let k(u) = 1671*u - 77. Let q(x) = -423*x + 19. What is -2*k(m) - 9*q(m)?
465*m - 17
Let k(y) = -11*y + 2. Let w(c) = 9*c + 17 - 18 + c. Let v = -85 - -91. Let o(m) = v*w(m) + 5*k(m). Let s(f) = f + 1. What is 2*o(n) - 11*s(n)?
-n - 3
Let c(t) = -8*t + 8. Let l(w) = w. Let o = -463 - -520. Let h be o/(-9) - 2/(-6). Calculate h*l(p) - c(p).
2*p - 8
Let j(q) = q**3 - 10*q**2 + 8*q + 6. Let l be j(9). Suppose -9*p - 2997 = -2943. Let v(z) = z + 1. Let n(r) = -r - 1. Determine l*v(f) + p*n(f).
3*f + 3
Let z(w) = 30*w + 6. Let l(r) = -5*r + 0 + 19*r - 4*r + 3. Let v(i) = -8*l(i) + 3*z(i). Let f(x) = x. Give -12*f(h) + v(h).
-2*h - 6
Let l = -12889 + 12895. Let d(g) = -3*g**2 + 6*g - 9. Let i(x) = 5*x**2 - 11*x + 17. What is l*i(t) + 11*d(t)?
-3*t**2 + 3
Let x(p) = 13*p**2 - 108*p + 1094. Let s(g) = 11*g**2 - 90*g + 1094. What is 6*s(a) - 5*x(a)?
a**2 + 1094
Let f(w) = 5*w**3 - 3*w**2 - 3*w + 3. Let g be (3/(-5))/((-43)/215). Let c(u) = 14*u**3 - 8*u**2 - 8*u + 8. Determine g*c(i) - 8*f(i).
2*i**3
Let v(s) = -159*s**2 + 19*s - 57. Let b(l) = 51*l**2 - 7*l + 19. What is 11*b(x) + 4*v(x)?
-75*x**2 - x - 19
Let k be 2 + (-80)/(-12)*-15. Let o = k + 92. Let g(q) = q. Let n(v) = v + 2. What is o*g(x) + n(x)?
-5*x + 2
Let w(y) be the first derivative of 2*y**2 - y + 1. Let r be ((-2926)/42)/19 + 1 + 6/(-18). Let l(k) = -9*k + 1. Determine r*l(s) - 5*w(s).
7*s + 2
Let j(s) = 24*s - 56*s + 17*s + 18*s - 7 - 7*s. Let a(o) = -o - 1. What is -5*a(n) + j(n)?
n - 2
Let v(t) = -8*t**2 - 2. Let f(o) = -9*o**2 - 3. Let z be (3/15)/(29/290). Give z*f(c) - 3*v(c).
6*c**2
Let j(n) = 54*n**3 - 9*n**2 + 9*n - 5. Let s(p) = p**2 - p. Determine j(l) + 9*s(l).
54*l**3 - 5
Let i(a) = 43*a. Let g(m) = -m. Let k(j) = 2*g(j) - i(j). Suppose -7*y + 19*y - 17 = -161. Let p(h) = 18*h. What is y*p(v) - 5*k(v)?
9*v
Let b(u) = -u**2 - 2*u + 3. Let y(n) = 698*n**2 - 9*n + 17. Give -5*b(z) + y(z).
703*z**2 + z + 2
Let x(z) = -z**3 - z**2 - 1. Let c(t) = 24*t**3 + 3*t**2 + 3. Suppose -h = 4*l - 9, 4*l + 64*h - 65*h = -1. Calculate l*c(v) + 3*x(v).
21*v**3
Let j(d) = 80*d**3 - 8*d**2 + 8*d. Let s(c) = 255177*c + 2*c**2 - 53*c**3 + 3*c**2 - 255182*c. What is -5*j(l) - 8*s(l)?
24*l**3
Let q(x) = 291*x**2 + 5*x - 8. Let b(c) = 581*c**2 + 11*c - 20. Give -3*b(g) + 7*q(g).
294*g**2 + 2*g + 4
Let n(b) = 616*b + 11. Let q(p) = -598*p - 9. What is 2*n(f) + 3*q(f)?
-562*f - 5
Let m(h) = -3*h**2 - 8*h + 2004. Let i(z) = 4*z**2 + 9*z - 2019. Determine 5*i(k) + 6*m(k).
2*k**2 - 3*k + 1929
Let n(f) = 11*f + 70. Let p(l) = -143*l - 839. Determine 25*n(i) + 2*p(i).
-11*i + 72
Let c(k) = 3 + 5*k**2 - 3 + 48244*k - 48247*k. Let j(x) = -5*x**2 + 4*x. Calculate 4*c(g) + 3*j(g).
5*g**2
Let r(j) = -6*j + 222. Let x(l) = -12*l + 395. Determine -5*r(b) + 3*x(b).
-6*b + 75
Let w(n) = 22*n + 13. Let s(u) = 1. Let y(t) = -6*s(t) + w(t). Let r(c) = 9*c + 6522 + 6*c - 6517. Calculate -7*r(b) + 5*y(b).
5*b
Let l(c) = c**3 + 5*c**2 + 5*c - 4. Let a(i) = i**3 + 4*i**2 + 4*i - 4. Suppose -q - 2*m - 9 = 0, -13*m - 24 = -9*m. Determine q*l(g) - 4*a(g).
-g**3 - g**2 - g + 4
Let x(t) = 431*t + 4. Let u(f) = 1. Give -2*u(r) + x(r).
431*r + 2
Let b(m) = -m + 1. Let y(c) = 2486*c + 44. Determine -44*b(v) + y(v).
2530*v
Let x(m) = -6*m - 14. Let g(h) = -20*h + 109. Calculate -g(o) + 4*x(o).
-4*o - 165
Let k(u) = u - 1. Let b = 1/4687 + 4681/28122. Let r(c) be the third derivative of 0*c + 0 - c**2 - b*c**3. What is 3*k(d) - 2*r(d)?
3*d - 1
Let r(p) = 5370*p**2 - 3*p - 92. Let o(g) = 3580*g**2 - 2*g - 66. Give 7*o(s) - 5*r(s).
-1790*s**2 + s - 2
Let t(a) = a**2 - 1. Suppose -3275 = -61*k - 3336. Let b(l) = -2*l**3 + 6*l**2 + 2*l - 3. What is k*b(n) + 3*t(n)?
2*n**3 - 3*n**2 - 2*n
Let a(v) = -5*v**2 + 2*v - 5. Let s(k) = 2*k + 72. Let h be s(10). Let p = h - 98. Let b = 6 + -11. Let q(f) = 4*f**2 - 2*f + 4. Give b*a(t) + p*q(t).
t**2 + 2*t + 1
Let s(v) = 5*v**2 + 2*v. Let b(j) = -55*j**2 - 5*j + 9. Let n(r) = -11*r**2 + 2. Let h(i) = -b(i) + 4*n(i). Calculate 4*h(f) - 10*s(f).
-6*f**2 - 4
Let b(f) = 284127 - 284127 + f. Let j(q) = -6*q + 4. Calculate -3*b(n) - j(n).
3*n - 4
Let c(t) = -30*t**2 + 143*t**2 + 42*t**2. Let f(y) = 810*y - 36444. Let a be f(45). Let j(h) = 11*h**2. What is a*c(p) - 85*j(p)?
-5*p**2
Let n(p) = -7*p**3 + 3*p. Let a(v) = 14*v**3 - 3*v**2 - 16*v. Let k(b) = -72*b**3 + 16*b**2 + 84*b. Let y(u) = 16*a(u) + 3*k(u). Give -6*n(j) - 5*y(j).
2*j**3 + 2*j
Let i(g) = -20*g**3 - 10*g**2 + 7*g - 20. Let l(z) = 19*z**3 + 12*z**2 - 8*z + 24. Give 6*i(t) + 5*l(t).
-25*t**3 + 2*t
Let w(c) = -8*c**3 - c**2 - 3*c. Let r(f) = 2*f + f**3 - f**3 + 373069*f**2 - 373068*f**2 + 2*f**3 + 2*f**3. Give 5*r(o) + 3*w(o).
-4*o**3 + 2*o**2 + o
Let x(n) = -2*n - 3. Let w(i) = -i**3 - 152 - 181 + 329 - 3*i - i**2. Calculate 2*w(s) - 3*x(s).
-2*s**3 - 2*s**2 + 1
Let j(u) = -275 - 2*u + 581 - 295. Let k(b) = 5*b - 23. What is -13*j(n) - 6*k(n)?
-4*n - 5
Let y(n) = -623*n**3 + 77*n. Suppose 3*t = h + 101, 4*h + 9 = -6*t - 251. Let g(s) = 48*s**3 - 6*s. Calculate h*g(r) - 6*y(r).
42*r**3
Let f(p) = 4*p**3 + p + 12. Let a(s) = 86*s**3 + 6*s - 45. Let d(k) = -a(k) - 3*f(k). Let c(r) = 49*r**3 + 4*r - 4. Give -9*c(h) - 4*d(h).
-49*h**3
Let r(k) = 14261311*k**2 + 8993*k + 161874. Let d(b) = -3172*b**2 - 2*b - 36. What is -26979*d(z) - 6*r(z)?
9522*z**2
Let o(h) be the first derivative of -10*h**3/3 + 5*h**2 + 24*h + 1. Let u(f) be the first derivative of 2*f**3/3 - f**2 - 5*f - 8222. Give 3*o(z) + 14*u(z).
-2*z**2 + 2*z + 2
Suppose -2*g = 3*k + 24, 249*k - 253*k = g + 22. Let y(h) = -6*h**2 + 3*h - 1. Let c(f) = -7*f**2 + 4*f. What is k*y(z) + 3*c(z)?
3*z**2 + 4
Let x(k) = -801*k**2 - 2*k - 4. Let s(i) = -1602*i**2 - 4*i - 9. Determine 2*s(r) - 5*x(r).
801*r**2 + 2*r + 2
Let r(d) = 10*d**3 + 11*d**2 + 225. Let w(p) = -4*p**3 - 4*p**2 - 75. Give 4*r(s) + 11*w(s).
-4*s**3 + 75
Let o(z) = z**2 + 7*z. Suppose 0 = -709*m + 836*m + 1397. Let g(n) be the second derivative of -n**4/2 - 6*n**3 + 7*n. Give m*o(l) - 2*g(l).
l**2 - 5*l
Let i(v) = 7*v + 35. Let s(x) = 18 + 14*x + 9*x + 4*x - 22*x - x. Give 3*i(b) - 5*s(b).
b + 15
Let n = -6475 - -6573. Let q(l) = -462*l**2 + 98*l - 98. Let m(a) = -14*a**2 + 3*a - 3. Give n*m(g) - 3*q(g).
14*g**2
Let j(r) = -r**3 - r + 1. Let s(z) = -19*z**3 - 9*z + 9. Suppose d = o + 1, 589*d - 593*d + 13 = -o. Determine d*s(q) - 36*j(q).
-40*q**3
Let q(n) = -28 + 54 + 20763*n - 25 - 20787*n. Let y(k) = -23*k + 1. Give 5*q(i) - 4*y(i).
-28*i + 1
Let m(c) = -20*c - 1. Let y(b) = 19*b + 1. Suppose q + 11 = -3*h, 364*h + 25 = 359*h. Give q*y(f) + 5*m(f).
-24*f - 1
Let c(z) = 6*z**2 + 4*z + 9. Let s(b) = -2*b**2 - b - 3. Let o be (-8)/(-28) - ((-48)/28 - -1). Let k be ((-9)/(-5) - o)/((-60)/(-150)). Give k*c(v) + 7*s(v).
-2*v**2 + v - 3
Let a(d) = 2*d + 839 + 842 - 1690 + 2*d**3 - 7*d. Let p(u) = u**3 - 2*u - 4. Give 4*a(m) - 9*p(m).
-m**3 - 2*m
Let n(a) = -9 + 21 + 2*a**2 + 6*a**2 - 15 - 11*a**2 + a. Let d(p) = 7*p**2 - p + 7. Give 2*d(w) + 5*n(w).
-w**2 + 3*w - 1
Suppose d = -226 - 177. Let n = d + 408. Let l(u) = u**2 + 3*u. Suppose s + 0*s = 2*m - 14, 0 = 5*s + 4*m. Let b(o) = o**2 + 4*o. Give n*l(w) + s*b(w).
w**2 - w
Let b(w) = -w - 4. Let s(c) = -5*c - 22. Let d(i) = 11*b(i) - 2*s(i). Let h(n) = -2*n**2 - 4*n + 2. Determine 3*d(u) - h(u).
2*u**2 + u - 2
Let t(u) be the first derivative of 6*u**2 - 13*u + 108344. Let f(h) = 3*h - 3. Let p be -3 - -2 - 0 - 1. What is p*t(r) + 9*f(r)?
3*r - 1
Let l(k) = -k**3 - 7*k**2 + 5*k - 58. Let f = -874 + 866. Let b be l(f). Let y(h) = 6*h + 2. Let n(m) = 35*m + 11. Calculate b*y(z) + 6*n(z).
6*z - 2
Let z(l) = -3*l**2 + 6*l - 1. L
|
{
"pile_set_name": "DM Mathematics"
}
|
.3?
-2/5
What is the nearest to -64 in -1, -9, -7/18, 2/15, 5?
-9
What is the nearest to -4 in -1.06, -5, -0.5, 4, -0.1, -0.034?
-5
Which is the nearest to 347278? (a) 1 (b) 3/7 (c) -5 (d) -0.1
a
What is the nearest to 1 in 0.4, -4, -2, 0.45, 31?
0.45
What is the closest to 0.2 in -3, 24, -7/4, -244?
-7/4
Which is the nearest to -1? (a) -22 (b) -21753 (c) 0.5 (d) -2 (e) -3
d
What is the nearest to 3 in 669471, 2, -0.03, -0.2, -2/7?
2
Which is the closest to 2/7? (a) -2/5 (b) 120.6 (c) 0.3 (d) 12 (e) 3
c
Which is the nearest to -1/3? (a) 14 (b) 4 (c) -1.49 (d) 0.5 (e) 40
d
What is the closest to 1 in 27, 4, 3, -4, 7?
3
What is the nearest to 5 in 0.5, -8, 1, 178.2?
1
What is the closest to -297/20 in -2, -40, -0.3, 0.2, -20?
-20
What is the nearest to -0.2 in 0, 7.549, 1/543, -0.2?
-0.2
Which is the closest to -64/3? (a) -4/7 (b) -1161.1 (c) 11
a
Which is the nearest to 641? (a) 6 (b) -2/9 (c) -120 (d) 5 (e) -4
a
Which is the nearest to 7/2? (a) -1057527 (b) 4/3 (c) 2
c
What is the nearest to 1/3 in -15, 32, -2/4913?
-2/4913
What is the closest to 1 in 1/1066, -9.3, -0.4, 0.09?
0.09
What is the nearest to 4188 in -0.17, 4/3, -0.4, 3/7, -11?
4/3
What is the nearest to 3/3844 in -7, -0.4, -121?
-0.4
Which is the nearest to -0.11? (a) 0.0274 (b) -5 (c) 614
a
What is the nearest to 4/5 in -1, -2/1701, 0.3, -16, 0?
0.3
What is the closest to -0.03 in -2, -4/23, -5/7, 54?
-4/23
What is the nearest to 0.518 in -4/7, -316, 0.5?
0.5
Which is the closest to 1? (a) 4 (b) 8/9 (c) -5 (d) 2.22726 (e) -0.2
b
Which is the nearest to -0.21? (a) 2/9 (b) -1/5 (c) 235 (d) -2.1 (e) -2/19
b
Which is the closest to 1/2? (a) -0.04 (b) 1/105 (c) -252/25 (d) -0.3
b
What is the nearest to -3/7 in 2/7, -25, -2, -0.01, 4.3?
-0.01
Which is the nearest to 9? (a) -4 (b) -1/2 (c) -6/35 (d) 4 (e) -20
d
Which is the closest to -2/3? (a) 0.5 (b) 0.4 (c) 0.12 (d) 55 (e) -1/8 (f) 12/769
e
What is the closest to -1/5 in 9, -3/7, 475, -125, 0.1, 4?
-3/7
What is the closest to -1 in 1/513, -3, 638?
1/513
Which is the nearest to 1025? (a) 571/2 (b) 3 (c) 2 (d) -1/3
a
What is the closest to 4256 in 3, -3, 47?
47
What is the nearest to -0.05 in 5, 1, 0.1, 57129?
0.1
Which is the nearest to -1/3? (a) -1/9 (b) 2/9 (c) 2 (d) 1 (e) 15/214
a
What is the nearest to 5 in 5, -3, 0.638, -7?
5
What is the nearest to -1/3 in -0.22, -0.5, 4, 26, -8.12?
-0.22
What is the closest to 2/19 in -1/12, -2/43, -43637, -3, 0.1?
0.1
Which is the nearest to -3? (a) 24 (b) -83.24 (c) -1 (d) -0.3
c
What is the closest to 0 in 2/25, 2/3, 0.8, -8/21, -20/19?
2/25
What is the closest to 2 in -0.5, 245/27, -2/5, 3/472?
3/472
Which is the nearest to 0.2? (a) 20 (b) -3 (c) 5 (d) -0.0834
d
What is the closest to 0.1 in -0.13, 15.6517, 0.1?
0.1
What is the closest to 14 in 10, -3, -2/3, 5645?
10
What is the closest to 13/8 in -2/9, 4/3, 0.5, 1366?
4/3
What is the nearest to -1 in 22, -4, 4410/11, -37/2?
-4
What is the closest to 3 in 2, 5, 276/11, 70, 0.2?
2
What is the nearest to -0.1 in 12/11, 0.005, -102, 39, 2/11?
0.005
What is the nearest to -2/5 in -2, 2/9, 1/4153, -6.15, -3/2?
1/4153
Which is the closest to 0? (a) -0.045 (b) 0 (c) 137613 (d) 1
b
Which is the closest to 1/6? (a) 464 (b) 165 (c) -1 (d) 10
c
Which is the nearest to 0? (a) -2/37 (b) 1390 (c) -16
a
What is the nearest to -1/3 in -0.6, 4.6, 0.11, 1, 11?
-0.6
What is the nearest to -0.1 in 5, 15772, 23/3?
5
What is the closest to -1 in 3, -0.4, -12395150?
-0.4
Which is the closest to 0? (a) -2/9 (b) -3/58 (c) 73/180
b
Which is the closest to 0? (a) 10 (b) 102 (c) -1132 (d) -1/5
d
Which is the nearest to -2? (a) -0.2 (b) -2901 (c) 7 (d) 159
a
What is the closest to 4 in 0.3, -10, 26, -3, 0.0185?
0.3
Which is the nearest to 3? (a) -1878 (b) -40 (c) -2 (d) -8
c
What is the nearest to 18.32 in 6.29, 6/5, 4, -0.3, -0.5?
6.29
Which is the nearest to 3? (a) 286/25 (b) 47 (c) -3
c
What is the closest to -0.2 in 0, -26, 286, 2/13, 0.5?
0
Which is the nearest to -2? (a) -0.1 (b) 0.4 (c) -226/5451
a
Which is the closest to 5? (a) -4.41 (b) -2.4 (c) 2/9
c
What is the nearest to -1 in -0.5, 0.052, -4, 161, -0.6?
-0.6
Which is the closest to -0.11? (a) -11 (b) -1.1 (c) 18/5273
c
Which is the closest to 0.21? (a) -0.2 (b) -5/3 (c) 5 (d) 9 (e) -148 (f) -0.1
f
Which is the nearest to 0.5? (a) 8/19 (b) -3 (c) -0.179 (d) -0.4 (e) 5
a
Which is the nearest to -805? (a) -23021 (b) -0.3 (c) -6
c
What is the nearest to 6/7 in -5015, -0.01, 3, -1/3, -3?
-0.01
What is the closest to -2 in -179, -0.8, -2/9, -15?
-0.8
Which is the nearest to -0.1? (a) -1/5 (b) -22041/689 (c) 5
a
Which is the nearest to -1? (a) 43 (b) -0.5 (c) 88 (d) 0.1 (e) -1/8
b
Which is the nearest to -8? (a) 2/5 (b) -951/7 (c) 5 (d) -4 (e) -0.3 (f) 0.5
d
What is the nearest to -194 in 5, -5/19, -0.1, 2, -2.9, 0.4?
-2.9
What is the closest to 0.0946 in -670, -1.1, -4/3?
-1.1
What is the closest to -1/16 in 0.1, -1, 2/25, 4.42, -3?
2/25
What is the closest to -31 in 3/8, 2/7, -4/7, -0.27?
-4/7
What is the closest to -1/4 in 3/4, -8, -161993?
3/4
Which is the nearest to 0.09? (a) 284 (b) 1.2 (c) -1
c
What is the nearest to -1/4 in -4, 4/7, 2/7, 234.7, -1/9?
-1/9
Which is the closest to -1? (a) -4 (b) -1 (c) 0.1 (d) -1/77 (e) 2/9 (f) 29
b
What is the nearest to 1 in -0.04, 1540, 3?
-0.04
What is the closest to -2/41 in -213/5, 2, -0.8, 1/2?
1/2
Which is the closest to -1/3? (a) -1592 (b) -1295 (c) 1/5 (d) 0.3
c
Which is the closest to 0.1? (a) -2 (b) 7 (c) 156 (d) 4350
a
What is the nearest to -1/6 in 0, -0.1, 103/11?
-0.1
Which is the nearest to -176? (a) 12/13 (b) -7 (c) 8 (d) -5 (e) 2
b
What is the nearest to 0.1 in -1/24, -0.4, -3, -2, 847/18?
-1/24
What is the nearest to 67 in 32, -4, -2, -12?
32
Which is the nearest to -2/5? (a) -2/5 (b) 1 (c) 2 (d) 15/2 (e) -833/4 (f) 98
a
What is the closest to 0.1 in -6941/2, -22/41, -1, -4?
-22/41
What is the nearest to -4/19 in -6307, 3, -1.08?
-1.08
What is the closest to -26 in 1/11, 2/113, -0.18, -2, 0.2?
-2
What is the nearest to 0.9 in 6/11, -0.43, -16, -2/5, 1?
1
What is the closest to 465482 in 36/11, 2/9, 0?
36/11
Which is the closest to -1/3? (a) -2 (b) -3/17849236 (c) 3/4
b
Which is the closest to 1? (a) -12 (b) -1 (c) -931.5 (d) 12
b
What is the closest to -0.7 in 2/25, -4, -2/3, 0, 335?
-2/3
Which is the nearest to 5? (a) 60 (b) -1/22 (c) -188 (d) 5/8
d
What is the nearest to -1 in 5/2, 0.1, -2/7, 0.2, 0.2297, 1.1?
-2/7
What is the nearest to 3 in 2047, 2/21, -0.072, 150, -2, 5?
5
What is the nearest to 21 in 0.2, -337, 5?
5
Which is the closest to 0.08? (a) -771 (b) -3 (c) -0.1 (d) -172
c
Which is the closest to 11? (a) -711 (b) 448 (c) 0.5
c
What is the nearest to -1 in -106792/9, 1, 0?
0
What is the closest to 286 in 0.01, 0.1, 0, 1/745, 2/11?
2/11
Which is the nearest to 6152? (a) -0.2 (b) 0.2 (c) 2/3 (d) -3/2 (e) -0.3
c
Which is the nearest to 5/2? (a) -2 (b) 1/4 (c) 5/32 (d) -244 (e) 1
e
Which is the nearest to 4/7? (a) -7.5 (b) -4 (c) -0.4 (d) -140
c
Which is the nearest to -0.4? (a) 1/18 (b) 69 (c) -233 (d) -4 (e) -0.1 (f) -0.2
f
Which is the nearest to 27? (a) 2/8535 (b) -5 (c) -0.5
a
What is the nearest to -22 in 3, 1/7, -11, -2/5, 4.62?
-11
What is the nearest to -15825 in 0.1, -18/7, -2, 2/11, -5?
-5
Which is the closest to -4/749? (a) -29 (b) 68 (c) -5
c
What is the closest to 22887 in -4, -1/2, -0.1?
-0.1
What is the nearest to -7/3 in -1, -23, -4, -355.6, 1/4?
-1
Which is the nearest to 0? (a) -4 (b) 24 (c) -6/7 (d) 5 (e) -114
c
Which is the closest to -0.2? (a) -9 (b) -291 (c) 1/472 (d) -1
c
What is the nearest to -2/9 in 0, 3664/15, -2, -0.3, 1, 2/29?
-0.3
Which is the closest to -4352? (a) 0.5 (b) -700 (c) 4 (d) -1/9
b
What is the nearest to 30 in -14, 7, 7153?
7
Which is the closest to 4? (a) -86 (b) -2728 (c) 4 (d) 6
c
Which is the closest to 651271? (a) -2/21 (b) -3 (c) -2/13
a
What is the nearest to 2 in 4, -121, -1/8, -139?
4
Which is the nearest to 100? (a) 1 (b) -2/21 (c) -166 (d) 3
d
Which is the nearest to -0.3? (a) 0.5 (b) 86 (c) -2/19 (d) 5 (e) 312
c
Which is the closest to 1.8? (a) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
r. What is the units digit of r?
6
Suppose -2*y + 1 + 3 = 0. Suppose -2 = y*i - 0, -4*z + 2*i + 30 = 0. What is the units digit of z?
7
Suppose -4*l - 2*r + 196 = -2*l, -5*l = -4*r - 481. What is the units digit of l?
7
Suppose -3*j + 4*b - 40 + 184 = 0, 147 = 3*j - 3*b. What is the tens digit of j?
5
Suppose 3*p = 3*z + 54, 5*p + 3*z - 66 = -0*z. What is the tens digit of p?
1
Let q = 4 + 1. What is the units digit of q?
5
Suppose -5*x + 0*d + 4*d - 1 = 0, -32 = -4*x - 5*d. Suppose -21 = -x*i + 39. What is the units digit of i?
0
Suppose -4 = 2*r - 16. What is the units digit of r?
6
Let s(u) be the third derivative of u**5/60 - u**4/3 + 5*u**3/3 + u**2. Let h be s(8). Suppose 0 = -3*i + i + h. What is the units digit of i?
5
What is the units digit of (-2 + 0)*(-1 - 1)?
4
Suppose -y = -22 - 10. Suppose 6*u - y = 2*u. Suppose -m = -0*m - u. What is the units digit of m?
8
Let b = -1 - -5. Suppose -3*q = -5*j + 55, -2*q + b + 2 = 2*j. What is the units digit of j?
8
Let q = -64 - -89. What is the units digit of q?
5
What is the units digit of (-175)/(-4) - 18/24?
3
Let x(v) = -v**2 - 5*v - 2. Let o be x(-4). Suppose 5*i - 5*j - 12 = -47, i - o*j = -11. What is the units digit of 1/(i - 116/(-38))?
9
Let r(z) = -z**3 + 15*z**2 - 14*z + 2. Let k be r(14). Suppose -2*b + k*f = -18, -2*b + 33 = -0*f + 3*f. What is the tens digit of b?
1
Suppose -30 = 2*t + 18. Let r be (t/(-5))/((-1)/(-5)). What is the tens digit of (12/8)/(2/r)?
1
Let z(i) = -i - 7. Let a be z(0). Let o(n) = -n**3 + 9*n**2 - 11*n + 8. Let b be o(8). Let r = a - b. What is the units digit of r?
9
Let g(z) = -2*z**3 - z**2 + z + 2. Let p be g(-2). Suppose 3*n = -p, -y = 3*n + 1 - 0. What is the tens digit of y?
1
Let y = 366 + -261. Let j = -73 + y. What is the units digit of j?
2
What is the tens digit of (2/6)/(3/225)?
2
Suppose -6*v - 5*y = -3*v - 3, 1 = v + 3*y. What is the units digit of v - (1 + 0)*-6?
7
Suppose 4*m = v + 47, 4 + 47 = 4*m + 3*v. What is the tens digit of m?
1
Let k = 208 + -62. What is the hundreds digit of k?
1
Suppose 448 = -d + 5*d. What is the tens digit of d?
1
Suppose 0 = -i - 2*i + 6. Suppose -1 - 3 = i*v. Let m(j) = j**3 + 2*j**2 - 2*j - 2. What is the units digit of m(v)?
2
Suppose 5*z = 5*j - 120, 2*j - 39 = 3*z + 31. Let i = -10 - z. What is the units digit of i?
2
Let i be 3/(-5) - 592/(-20). Let y = 0 + i. What is the units digit of y?
9
Suppose -5*o + 18 = s + 3*s, 0 = -5*s + 5*o. Let p(i) = 3*i + 1. What is the units digit of p(s)?
7
Let j(f) = -f**2 - 9*f + 12. Let b be j(-10). Let i be -18*1/(-2)*b. Let w = -2 + i. What is the tens digit of w?
1
Let f be 24/(-20)*5/(-2). Suppose -i = -f*i. Suppose -5*l + 6 + 4 = i. What is the units digit of l?
2
Let l(g) = 2*g**2 + 5*g - 4. Let v be l(-4). What is the tens digit of 2/4 + 76/v?
1
Let n be 2*(5/(-2))/(-5). Let f = n + 10. Suppose -l + 44 - f = 4*d, 0 = 4*l - 3*d - 56. What is the units digit of l?
7
Let u be 22/(1/(-2)*-2). Let x = -7 + u. What is the tens digit of x?
1
Let p = -2 - -7. Suppose k - p = 3. What is the units digit of k?
8
Suppose 2*c + 2*f = -3*f - 3, 3 = c - 2*f. Suppose 2*y + c = -7. What is the units digit of (-90)/(-12) + (-2)/y?
8
Let g(z) = -z**2 - 11*z - 4. Let b be g(-11). Let o = 5 - b. Let c(y) = y**3 - 9*y**2 + y - 6. What is the units digit of c(o)?
3
Let i(y) = 3*y**2 - y - 1. What is the tens digit of i(3)?
2
Let z be -1 + (-1 - -2)*1. Suppose -h - 4*h + 20 = z. Suppose -4*w + h = -16. What is the units digit of w?
5
What is the tens digit of ((-133)/19)/(2*1/(-74))?
5
Suppose 27 - 7 = 5*c. Suppose -d - 6 = 2*t, -3*t - 10 = -2*t + c*d. Let l(v) = -6*v + 2. What is the tens digit of l(t)?
1
Suppose 49 = 2*r - 103. What is the tens digit of r?
7
Let u(a) = a - 15. Let c be -3 + 10/2 + -2. Let x be u(c). Let l = -8 - x. What is the units digit of l?
7
Let x(t) = -14*t**3 + 20*t + 23. Let n(j) = -5*j**3 + 7*j + 8. Let c(l) = 11*n(l) - 4*x(l). What is the tens digit of c(3)?
1
Let v = 379 + -267. What is the tens digit of v?
1
Suppose 20 = -4*c - 0*c. What is the units digit of (-47)/c + 10/(-25)?
9
Let f = 7 - -2. What is the units digit of f?
9
Let p = 13 - 23. Let s = 21 + p. What is the units digit of s?
1
Let s(l) = 2*l - 14. Let v(r) = -r + 7. Let n(d) = 2*s(d) + 5*v(d). Let b = -3 - -7. What is the units digit of n(b)?
3
Suppose 3*z - 4 = 377. What is the tens digit of z?
2
Let v = -14 + 33. Suppose -4*z - v = -55. Let m = z - 4. What is the units digit of m?
5
What is the tens digit of (-4)/1 + (18 - -40)?
5
Suppose 2*r = 5*y + 313 + 162, -3*y = -2*r + 465. What is the tens digit of r?
2
Let v = -3 - -9. Let o be 21/2*4/v. What is the units digit of o/3 + (-2)/(-3)?
3
Let c(m) = m**3 + 2*m**2 + 3. Let r be c(-5). Let l = -31 - r. Suppose 3*d + 51 = 4*s, -5*d = -0*s - 3*s + l. What is the units digit of s?
2
Let r(d) be the first derivative of -d**3/3 + 4*d**2 + 11*d + 7. What is the tens digit of r(8)?
1
Suppose 2*u - 17 = -3*l, 2*l = -0*u - 4*u - 2. Suppose -3*o + o = -5*a + 26, o - l = -3*a. What is the units digit of a?
4
Let o be 2/(-12) + 26/12. What is the units digit of (-1)/(o*1/(-2))?
1
Suppose 4*v = -0*c - 2*c + 16, 4*c + 1 = 3*v. Suppose -3*k + 22 = -f - 61, 3*k = -c*f + 77. What is the units digit of k?
7
Suppose -v - 4*l - 20 = 0, -3*v - 26 = -4*l - l. Let u be ((-4)/(-6))/(8/v). What is the units digit of ((-14)/(-4))/(u/(-2))?
7
Suppose -5*t - 4*o + 13 = -5, 4*t + 4*o = 16. Suppose f = 2*y + 7, 2*f = -3*y + y + t. What is the units digit of (1 + 1)*(-3)/y?
3
Let r be (12/16)/((-2)/8). Let h be 1/r*(0 + 3). What is the units digit of (-2 - -4)*h + 7?
5
Let m(l) = -4*l - 13. Let o(q) = 5*q + 14. Let u(z) = -4*m(z) - 3*o(z). Let f = 10 + -16. What is the units digit of u(f)?
4
Let f(h) = -h + 1. Let w be f(0). Suppose v + w = 22. What is the units digit of v?
1
Let c = 40 + -1. Suppose 0 = 2*n - 2*m - 59 + 11, 4*m - 36 = -2*n. Suppose 0 = 5*z - 4*h - c, z - h = -2*z + n. What is the units digit of z?
7
Let l(d) be the first derivative of d**3/3 + d**2/2 + 9*d + 3. What is the units digit of l(0)?
9
What is the units digit of (1 - -2) + -6 + 35?
2
Let u = 3 + 5. Let l(h) = -h**3 + 9*h**2 - 7*h - 2. What is the units digit of l(u)?
6
Suppose -106 = -5*m + 179. Suppose 25 = 3*x + 4*u, -4*x = x - u - m. What is the units digit of x?
1
Let f = 154 - 109. What is the units digit of f?
5
Let h(w) be the first derivative of -w**4/4 - w**2 - w - 2. Let f be h(-1). Suppose -n + f*c - 42 = -6*n, 5*c - 45 = -5*n. What is the units digit of n?
8
Suppose 78 = 3*c - 36. What is the tens digit of c?
3
Suppose o + 13 = -5*v + 1, 4*v = -4*o + 16. Let s(g) = -g**2 + 19*g + 25. Let u be s(20). Suppose w + o = u*w. What is the units digit of w?
2
Let t = -23 + 27. Let s(m) = -m**3 + 6*m**2 - 6*m. What is the units digit of s(t)?
8
Let s(f) = -41*f + 2. What is the units digit of s(-1)?
3
Let f = -2 + 32. What is the units digit of f?
0
Let o = 4 + -10. Let g(m) = -2*m - 4. Let x be g(o). Let k = x - 6. What is the units digit of k?
2
Let j(c) = 6*c + 3. What is the units digit of j(6)?
9
Suppose 5*q + 29 = l, 4*l + 0*l + 5*q = -9. Suppose 22 = -z + l*o + 6, 5*o = 25. Suppose z*y = -3*d + 14, -2*y - 5*d + 8 = -6. What is the units digit of y?
2
Let a(t) = -t**3 + 7*t**2 + 6*t - 4. Let x be a(8). Let m be (-22)/(-8) - 5/x. Suppose -m*u + 16 = 4*k - 5*u, 3*k - 22 = -u. What is the units digit of k?
6
Suppose 10 + 4 = 2*f. Let a(g) = 2 - g**2 - 1 - f*g - 4 - 4. What is the units digit of a(-5)?
3
Let k(d) be the third derivative of -d**5/60 + 5*d**4/24 + d**3/2 - d**2. Let a be k(4). Suppose 0*q = q - a. What is the units digit of q?
7
Let l(n) = n**3 - 5*n**2 + 2*n + 3. Let o be l(3). What is the tens digit of 23/2 + o/6?
1
Let b = 2 + 0. Suppose -4*i + 28 = -b*i. What is the units digit of i?
4
Let n(i) = -3*i - i + 3*i + 2*i. What is the units digit of n(4)?
4
Suppose r + 8 = 5*p, 11 = 5*r + 5*p - 39. Suppose -r*t + 3*t - 5*s = -49, -2*t + 3*s = 3. What is the units digit of t?
6
Suppose 3*g - c - 8 = 2, -3*g = -5*c - 2. Let y = 1 + 1. Suppose -12 + g = -y*t. What is the units digit of t?
4
Let w(f) = 7*f**3 - f**2 + f - 1. What is the units digit of w(1)?
6
Let j = -2 - -7. Suppose -2*m + i = 3*i + 6, 4*m = -j*i - 15. Suppose m = 2*l - 0*q - q + 1, -4*l = 3*q - 13.
|
{
"pile_set_name": "DM Mathematics"
}
|
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