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pose -4*x + 22 = -2*j, -2*x + j + 8 = -x. Let b be (12/10)/(171/285). Find the third derivative of -17*p**2 - 13*p**2 - x*p**b + 4*p**2 - 5*p**4 wrt p.
-120*p
Let a be (1/(-5) + -1)/((-6)/15). Let f(i) = i - 4. Let h be f(7). Find the first derivative of 0*k**h - 4*k**3 + 9*k**a + 5*k**3 - 12 wrt k.
30*k**2
Suppose 0 = -8*o + 10 + 22. Find the second derivative of -196*l + 67*l**o + 38*l + 44*l**4 - 7*l wrt l.
1332*l**2
Suppose -2*h - 2 = -4*y, 4*h - 10 = 2. Suppose -y*j = 5*u - 26, 0 = -3*u - 0*u + 4*j. Find the second derivative of -r**u + 23*r + 0*r**4 - r**4 - 9*r wrt r.
-24*r**2
Let d(u) = 5*u + 2. Let m be d(5). Find the first derivative of 44*v**4 - 17*v**2 + 17*v**2 + m + 27 wrt v.
176*v**3
Let d(t) = -9*t**2 - t - 95. Let n = 388 + -387. Let k(c) = -c + 2. Let f(y) = n*d(y) - 5*k(y). Find the first derivative of f(q) wrt q.
-18*q + 4
Let x(q) be the first derivative of -118*q**3/3 - q**2 - 54*q + 990. What is the derivative of x(f) wrt f?
-236*f - 2
Let t(y) = 208*y**3 - 60*y**2 + 5*y + 11285. Let n(o) = 140*o**3 - 43*o**2 + 3*o + 7524. Let s(v) = 7*n(v) - 5*t(v). Differentiate s(k) with respect to k.
-180*k**2 - 2*k - 4
Let v(i) = -i**2 + i - 5. Let b(u) = -47*u**4 + 13*u**3 + 10*u**2 + 6*u - 30. Let o(s) = -b(s) + 6*v(s). Find the third derivative of o(n) wrt n.
1128*n - 78
Let r be (((-2)/(-3))/1)/(16/432). Find the second derivative of 6*c**2 + r*c - 4*c**2 + 22*c - 3*c**2 - 1 + 19*c**3 wrt c.
114*c - 2
Let l(q) be the second derivative of 38*q**5/5 + q**4/4 - 751*q**3/6 - 801*q. Find the second derivative of l(m) wrt m.
912*m + 6
What is the derivative of -268*i - 18 - 956 + i**2 - 2211*i wrt i?
2*i - 2479
Let p(k) = k**2 - k. Let c(l) = 64*l**2 + 36*l. Suppose -9*u - 5*u = -42. Let f(i) = u*p(i) + c(i). Find the second derivative of f(r) wrt r.
134
Let y(k) = 4035*k + 7666. Let p(u) = -4043*u - 7665. Let n(l) = -5*p(l) - 6*y(l). Differentiate n(i) with respect to i.
-3995
What is the second derivative of 19*n**4 - 4*n**3 - 5299*n - 8 - 20*n**4 - 37*n**2 + 55*n**2 + 8 wrt n?
-12*n**2 - 24*n + 36
Let m(r) = -2*r**3 + r**2 - r + 5. Let z(p) = 1957*p**3 + 5*p**2 - 6*p + 6825. Let o(a) = 6*m(a) - z(a). What is the first derivative of o(i) wrt i?
-5907*i**2 + 2*i
Suppose 0*l + 1320 = 5*l. Let v be ((-6)/8)/(8 - (-1630)/(-200)). Find the third derivative of -4*y**v - 19*y**5 + 275*y**2 - l*y**2 wrt y.
-1380*y**2
Find the second derivative of 87 + 2*c - 16921*c**3 + 25 + 20209*c**3 wrt c.
19728*c
What is the third derivative of 2*n**3 + 229*n**4 - 6*n**4 - 5*n**3 + 6*n - 239*n**2 wrt n?
5352*n - 18
Let l(r) be the second derivative of r**6/2 + 447*r**2/2 - 1237*r + 2. Find the first derivative of l(c) wrt c.
60*c**3
Let r = 50 - 32. Let k be (1 - 214/(-4))/(3/r). What is the first derivative of 13 + k*n - 3 - 342*n wrt n?
-15
Let h be 28/3*(-19 - -22). What is the first derivative of h*g + 16*g - 13*g + 29*g + 17 wrt g?
60
Let n be 1/3 + 98/21. Let g(c) = 5*c - 6. Let h be g(n). Find the second derivative of -h*a + 8*a - 7*a**5 + 5*a**5 - 9*a**5 wrt a.
-220*a**3
What is the first derivative of -9*v**4 + 201*v**3 - 4029 + v**4 - 1495 - 203*v**3 + 10*v**4 - 1191*v**2 wrt v?
8*v**3 - 6*v**2 - 2382*v
What is the third derivative of 390*j**3 - 4*j**2 + 623*j**3 + 50*j**2 + 256*j**3 wrt j?
7614
Let g(s) be the third derivative of -227*s**5/20 + 3587*s**4/12 - 2277*s**2 - s. What is the second derivative of g(l) wrt l?
-1362
Suppose 10 = v - m, -3*m - 5 = v - m. What is the third derivative of -8*y**4 - 3*y**v + 26*y**2 - 111*y**2 - y**5 + 13*y**5 wrt y?
540*y**2 - 192*y
Find the third derivative of 1138*o**2 + 580*o**2 - 316*o**2 + 114*o**3 wrt o.
684
What is the derivative of -429*b - 271*b - 677 - 5*b wrt b?
-705
Let n(l) = -3*l**3 - 5*l**2 - 10*l - 6. Let s be n(-4). Find the first derivative of 39*p - 121*p + 51*p - s wrt p.
-31
Suppose 16*r = 11*r + 5. What is the third derivative of -3*q**4 + r + 9*q**3 + 3 + 667*q**2 - 671*q**2 wrt q?
-72*q + 54
Find the third derivative of 10 - 2159*r**2 + 4318*r**2 - 2192*r**2 + 792*r**3 wrt r.
4752
Let g(h) = -h - 9. Let p be g(-10). Let x be 15/(-10)*p*26/(-3). Find the first derivative of -30 + x*t**2 - 6*t**2 + 12 + 13*t**2 wrt t.
40*t
Let t(b) be the first derivative of 694*b**3 + 794*b + 868. Differentiate t(d) wrt d.
4164*d
Suppose 3 = 5*r + 3*v, 0 = 97*r - 100*r + 4*v - 4. Let u(l) be the third derivative of 0 - 17*l**2 + 1/2*l**4 + r*l + 1/3*l**3. Differentiate u(x) wrt x.
12
Suppose 6*d - 2*d - 64 = 0. Suppose -5*m + 6 = 3*i - 26, 2*m = -2*i + d. Find the first derivative of 11 - 4 + 6*l**m + 7 + 1 wrt l.
24*l**3
Let w(g) be the second derivative of 1857*g**8/56 - 5509*g**4/6 + 7369*g. What is the third derivative of w(c) wrt c?
222840*c**3
Let l = -238 - -239. Let b(j) = -2*j**5 + 6*j**3 + 48*j**2 + 22*j - 3. Let y(a) = a**3. Let c(d) = l*b(d) - 6*y(d). Find the second derivative of c(i) wrt i.
-40*i**3 + 96
What is the third derivative of 7973*t**4 + 8079*t**4 - 27998*t**4 - 3605*t**2 + 3574*t**4 wrt t?
-200928*t
What is the third derivative of -111*k**2 + 56*k**2 + 58*k**2 + 505*k**5 - 1 + 46*k - 1890*k**5 wrt k?
-83100*k**2
Differentiate -5057*f**3 - 562 - 655 - 2315 + 9511*f**3 with respect to f.
13362*f**2
What is the third derivative of 418*v**2 - 1059 + 2121 - 1397*v**4 - 1062 - 787*v**4 wrt v?
-52416*v
Find the second derivative of -155250*v**2 + 77658*v**2 - 6*v**4 + 77714*v**2 - v**3 + 4119*v wrt v.
-72*v**2 - 6*v + 244
Let i(d) be the third derivative of -107*d**6/15 + 949*d**3/2 + 191*d**2 + 4*d. What is the derivative of i(y) wrt y?
-2568*y**2
Let a(r) = 3*r**2 + r - 2. Let y be a(1). Suppose 3*f + y*f = 30. Differentiate 3 - f*k + 7*k - 6 wrt k.
1
Let z(l) be the second derivative of -85/6*l**3 + 0 - 15*l**2 + 10*l. Find the first derivative of z(r) wrt r.
-85
Let w(p) = 375*p**2 - 2 - 238*p - 476*p - 9 + 358*p. Let o(b) = 125*b**2 - 119*b - 4. Let q(n) = -11*o(n) + 4*w(n). Find the second derivative of q(m) wrt m.
250
Let c = 185 - 163. Differentiate -61 - 96*s**4 + 24 - 31 - c wrt s.
-384*s**3
Let d(u) be the second derivative of u**5/20 - 65*u**4/12 - 23*u**3/6 - 9045*u**2/2 - 10209*u. Find the first derivative of d(f) wrt f.
3*f**2 - 130*f - 23
Let b(y) be the second derivative of -1619*y**4/6 - 109*y**2/2 + 8300*y. Differentiate b(k) wrt k.
-6476*k
Let i(g) be the second derivative of 5461*g**5/20 - 75*g**3 + 2*g**2 + 6121*g. Find the second derivative of i(s) wrt s.
32766*s
Let c(t) = 8*t**3 + t**2 - t + 1. Let q(l) = -118*l**3 - 15*l**2 + 15*l + 40. Let s(m) = -30*c(m) - 2*q(m). Differentiate s(p) wrt p.
-12*p**2
Let f(g) = -2*g**2 - 18*g - 7. Let j be f(-8). What is the third derivative of -3*y**2 - 2*y - 203*y**5 + y - j*y**2 - 6*y**2 wrt y?
-12180*y**2
Let z(o) = -5411*o + 2132. Let a(p) = 2704*p - 1064. Let d(g) = -7*a(g) - 3*z(g). Find the first derivative of d(s) wrt s.
-2695
Let f(b) be the third derivative of 10*b**8 + b**5/12 - 7*b**3/6 + 92*b**2 + 11*b. Find the third derivative of f(x) wrt x.
201600*x**2
Let h be -3*294/(-18) - 0. What is the derivative of 43*k + 41*k**3 - 90*k - 104 + h*k wrt k?
123*k**2 + 2
Let l(a) be the first derivative of 9*a**4/4 + 94*a**3/3 + a**2 + 4980*a - 993. What is the first derivative of l(w) wrt w?
27*w**2 + 188*w + 2
Suppose 6 = 2*n - 0. Let l be (-21)/(-4) + 19/(-76). What is the second derivative of -33*j**l - 2*j**n + 267*j - 266*j + 2*j**3 wrt j?
-660*j**3
Let j(q) be the first derivative of 2*q**7/7 - 1544*q**5/5 + 202*q**3 - 788. What is the third derivative of j(m) wrt m?
240*m**3 - 37056*m
Let f be 111 + (3/(-2))/(5/(-10)). What is the second derivative of f*v**5 + 4*v + 88 - 58 - 45 + 17*v**5 wrt v?
2620*v**3
What is the third derivative of -64*o - o**2 + 78*o**3 - 293*o - 14*o**3 - o**5 + 67*o**3 wrt o?
-60*o**2 + 786
Let b(n) = n + 2. Let o(r) = -20*r - 6. Let d = 114 - 113. Let h(i) = d*o(i) - b(i). Differentiate h(w) wrt w.
-21
Let y(v) be the first derivative of 0*v**3 + 26 + 0*v**2 - 1/4*v**4 + 18/5*v**5 + 29*v. What is the first derivative of y(z) wrt z?
72*z**3 - 3*z**2
Let s(r) be the second derivative of -454*r**7/21 - 650*r**3/3 + 390*r + 1. Find the second derivative of s(i) wrt i.
-18160*i**3
Let v(o) be the first derivative of 491*o**5/5 + 11*o**3/3 + 83*o**2/2 + 289. Find the third derivative of | {
"pile_set_name": "DM Mathematics"
} |
uppose 5*b = 2 + 8. Let u(w) = w - w + 2*w**b. Give u(f(m)).
8*m**2
Let a(q) = -3*q**2. Let i(s) be the second derivative of s**3/3 - 5*s. Give a(i(v)).
-12*v**2
Let x(a) = 2*a**2. Let z = -1 - -6. Let m(f) = 11*f + 5. Let k(q) = -6*q + 18 + 16*q + 18*q + 11*q. Let w(n) = z*k(n) - 18*m(n). Calculate w(x(c)).
-6*c**2
Let h(i) = 35*i**2. Let m(v) = v - 66 + 66. Give m(h(a)).
35*a**2
Let k(v) = 2*v - 3. Let h(y) = y + 1. Let d(b) = -16*b - 3. Let z(u) = 2*d(u) + 22*h(u). Let a(o) = 16*k(o) + 3*z(o). Let p(q) = -3*q**2. Calculate p(a(c)).
-12*c**2
Let b(v) = 6*v. Let l(x) = 5*x - 6. Let w(k) = 11*k - 13. Let d(g) = -13*l(g) + 6*w(g). Give b(d(h)).
6*h
Let p(f) = f**2. Suppose 4 = 3*v - 2*v. Suppose -6 = v*s - 14. Let w(k) = 5*k**2 + k**2 - s*k**2. Calculate w(p(u)).
4*u**4
Let f(q) be the third derivative of 0 + 6*q**2 + 1/30*q**5 + 0*q**4 + 0*q**3 + 0*q. Let d(h) = -5*h**2. Calculate f(d(l)).
50*l**4
Suppose 3*z - 2 = 2*z. Let s(v) = v**2 - v - 3. Let g be s(3). Let p(c) = -g*c + 8*c - z*c. Let o(l) = l**2. Determine p(o(b)).
3*b**2
Let y = 4 - 2. Let a(h) = h + h**y - h. Let t(b) be the second derivative of -b**3/3 + b. Calculate t(a(k)).
-2*k**2
Let v(s) be the second derivative of 0 - 1/4*s**4 + 0*s**3 + 0*s**2 - 5*s. Let u(p) = 2*p**2. What is v(u(n))?
-12*n**4
Let n(u) = 192*u**2. Let h(q) = -2*q**2. Give h(n(j)).
-73728*j**4
Let j(a) = 585*a - 585*a - 9*a**2 + 2*a**2. Let g(q) = 5*q. What is j(g(p))?
-175*p**2
Let p(u) = -2*u. Let t(z) be the third derivative of z**8/2240 + 2*z**5/15 - 5*z**2. Let h(i) be the third derivative of t(i). What is p(h(m))?
-18*m**2
Let f(n) = -117*n. Let q(i) = -2*i**2. Give q(f(l)).
-27378*l**2
Let i(h) = -6*h**2. Let f(x) = -106*x + 211*x - 97*x. Calculate f(i(k)).
-48*k**2
Let t(c) = -4*c**2. Let d = 22 - 17. Let u(z) be the third derivative of 0*z**4 + 0*z + 0*z**3 + 0 - 1/30*z**d + 2*z**2. Give t(u(l)).
-16*l**4
Let i(u) = u. Let a(q) = q. Let m(n) = 11*n + 1. Let x be m(1). Let g(t) = 2*t. Let h(v) = x*a(v) - 5*g(v). Determine i(h(d)).
2*d
Let o(w) = w**2. Let a(g) = g + 7*g + 3*g - 4*g + 3. Calculate a(o(n)).
7*n**2 + 3
Let u(y) = 230*y - 3. Let k(t) = 2*t. Determine k(u(m)).
460*m - 6
Let a(t) = -17*t - 11*t - 10*t. Let j(w) = -w. Calculate j(a(i)).
38*i
Let n(z) = -z. Let w be (-3 + 8)*(-6)/(-15). Let a(d) = 7*d - 5*d + w*d. Determine n(a(f)).
-4*f
Let b(n) be the first derivative of 0 + 3 - n**3 + 2*n**3. Let h(d) = -4*d**2. Determine b(h(q)).
48*q**4
Let r(v) be the third derivative of -v**6/180 - v**3/2 + 5*v**2. Let t(d) be the first derivative of r(d). Let n(m) = -m**2. What is n(t(z))?
-4*z**4
Let a(x) = -x**2 - 2*x. Let o(l) = 3*l**2 + 7*l. Suppose -4*h = h - 10. Suppose 0*m + m = h. Let q(z) = m*o(z) + 7*a(z). Let n(f) = -2*f**2. Calculate q(n(p)).
-4*p**4
Let c(h) = -2*h. Let p(s) be the third derivative of -s**5/15 - 24*s**2. What is c(p(t))?
8*t**2
Let r(h) = 4*h - 26*h + h + 6*h. Let w(u) = -2*u. Give r(w(n)).
30*n
Let i(o) = 4*o**2. Let b(x) = 3*x**2. Give i(b(h)).
36*h**4
Let k(g) be the second derivative of 7*g**6/720 - g**4/3 + 3*g. Let j(v) be the third derivative of k(v). Let t(q) = q**2. Give j(t(o)).
7*o**2
Suppose 0*x = y + x - 6, -3*y = -3*x - 24. Let s(m) = -7 + 2*m**2 + 0*m**2 + y. Let w(n) = 2*n**2. Calculate s(w(o)).
8*o**4
Let s(j) = -j**2 - 269. Let z(c) = -17*c**2. Calculate s(z(w)).
-289*w**4 - 269
Let q(h) = -45*h**2. Let b(u) be the third derivative of -u**5/60 + 28*u**2. Determine b(q(t)).
-2025*t**4
Let m(r) be the second derivative of -r**3/6 + r. Let q(o) = 5*o**2 + 5*o + 5. Let a(k) = -k - 1. Let j(d) = 5*a(d) + q(d). What is j(m(f))?
5*f**2
Let n(c) = 2*c**2. Let i(f) = 126*f**2 + 1. Give i(n(h)).
504*h**4 + 1
Let c(t) = 5*t**2. Let w(z) = -50*z**2. Give w(c(l)).
-1250*l**4
Let h(o) = o - 1. Let f(n) = 2*n - 3. Let j(s) = -4*f(s) + 11*h(s). Let x be j(1). Let g(u) = u - x*u + 2*u. Let t(r) = r. Calculate t(g(p)).
-p
Let g(n) = -78 + 78 + 3*n**2. Let y(v) = 2*v. Calculate y(g(x)).
6*x**2
Let t(y) = 2*y**2 - 5*y**2 - 5*y**2. Let n(f) = -2*f. Determine n(t(j)).
16*j**2
Let n(m) = -9*m - 641. Let i(h) = 2*h. Calculate n(i(k)).
-18*k - 641
Let u(k) be the first derivative of k**3 + 11. Let s(h) = 27*h. Give s(u(l)).
81*l**2
Let r = -3 + 4. Let n(o) = 2 - o + r - 3. Let d(v) = -v + 4*v - 6*v. Give d(n(l)).
3*l
Suppose -8 = -3*v + v. Let o(a) = -v*a + 2*a + 5*a - 5*a. Let l(r) = 17*r. Determine o(l(w)).
-34*w
Let t(r) = 17*r. Let w be (-16)/(-24) - (-4)/3. Let p(s) = 32*s - 2*s**w - 32*s. Calculate p(t(u)).
-578*u**2
Let u(f) = 2*f. Let q(s) be the first derivative of 9*s**2/2 + 3. Determine u(q(b)).
18*b
Let j(g) = 4*g. Let p(z) = 2*z. What is j(p(w))?
8*w
Let v(y) = -5*y. Let n(m) = -17 + 17 - 2*m + 4*m. Give v(n(l)).
-10*l
Let q(x) = x**2 + 4*x + 2. Let n be q(-4). Let f(v) = -3*v**n - 5 + 5 + 5*v**2. Let s(l) = -4*l**2. Calculate s(f(z)).
-16*z**4
Let t(u) = -3*u**2. Suppose 5*g + 2 - 22 = 0. Suppose -k - k = -g. Let d(h) = h**2 + h**2 + 0*h**k. What is d(t(a))?
18*a**4
Let l(d) = -15*d + 1. Let z(j) = -11*j**2. What is z(l(y))?
-2475*y**2 + 330*y - 11
Let n(r) = 7*r - 4*r - 5*r. Let i(f) = 7*f + 5. Let z(o) = -10*o - 7. Let v(x) = 7*i(x) + 5*z(x). What is n(v(w))?
2*w
Let k = 32 - 23. Let s(h) = 0*h + k*h - 3*h. Let j(x) = -x**2. Give j(s(f)).
-36*f**2
Let o(c) = c**2. Let u(s) = -3*s + 4*s - 9*s - 9*s. Determine u(o(x)).
-17*x**2
Let j(g) = -2*g - 5. Let t(w) = -2*w - 6. Let f be (10/(-3))/((-12)/18). Let v(q) = f*t(q) - 6*j(q). Let m(k) = -3*k**2. Determine v(m(x)).
-6*x**2
Let c(t) = -439*t. Let w(j) = -2*j**2. Determine w(c(h)).
-385442*h**2
Let z(f) = -3*f**2. Let m(d) = 114*d**2. Calculate z(m(y)).
-38988*y**4
Let q(l) = -2*l**2. Let n(m) = -m - 10*m - 4*m. Calculate n(q(w)).
30*w**2
Let i(t) = 2*t. Suppose -6*j + 3*j = 3*g - 3, 3*g + j + 3 = 0. Let p = g + 6. Let x(v) = -p*v**2 - 6*v - 3*v**2 + 6*v. What is i(x(s))?
-14*s**2
Let y = 14 + -12. Let n(x) = 4*x**2 + 0*x**2 - y*x**2. Let s(r) = 2*r. Determine n(s(c)).
8*c**2
Let c(d) = -d**3 - 6*d**2 + 8*d + 10. Let m be c(-7). Let v(p) = p - 3 + m - 2*p. Let x(q) = -2*q**2. What is v(x(w))?
2*w**2
Let f(q) = -183*q. Let c(g) = -g**2 - 48. What is c(f(o))?
-33489*o**2 - 48
Let t(m) = 15*m**2. Let d(i) = i**2 + 5*i + 5. Let a(u) = -u**2 - 4*u - 4. Let g(o) = -5*a(o) - 4*d(o). Determine g(t(k)).
225*k**4
Let k = 9 + -7. Let m(d) = -d**2 - d**2 + 0*d**2 - d**k. Let p(s) = -2*s**2. What is p(m(i))?
-18*i**4
Let s(k) = 167*k**2 + 4. Let t(o) = -o. Give t(s(c)).
-167*c**2 - 4
Let q(c) = -2*c. Let u be ((-10)/(-15))/((-2)/(-6)). Let l(s) = -2*s + 2*s + 8*s**u - 3*s**2. What is l(q(m))?
20*m**2
Let j(s) = 616*s**2. Let b(k) = -2*k**2. What is j(b(z))?
2464*z**4
Let i(q) = 1. Let r(t) = t + 1. Let y(j) = -i(j) + r(j). Let n(w) = -15907 + 15907 - 2*w. Give n(y(g)).
-2*g
Let g(d) = 14*d**2. Let t(i) = -554*i**2. Calculate t(g(p)).
-108584*p**4
Let o(k) = -1760*k**2. Let j(v) = -v. Give o(j(w)).
-1760*w**2
Let a(j) = 9*j - 3*j - 13*j. Let m(s) = 2*s**2 - 4. Let r(x) = -4*x**2 + 9. Let t(d) = -9*m(d) - 4*r(d). Calculate a(t(v)).
14*v**2
Let u(w) = 2*w**2. Let k(v) = 2*v + 49. Calculate k(u(r)).
4*r**2 + 49
Let t(p) = 58 - p - 58. Let o(h) = -19*h**2. Give o(t(i)).
-19*i**2
Let a(r) = 3*r**2. Suppose 4*g = 2*g + b - 3, 5*g - 6 = -2*b. Let d(i) be the first derivative of g*i - 2 + 1/3*i**3 + 0*i**2. Determine d(a(s)).
9*s**4
Let c(y) = 3*y - 6. Let i(l) = -11*l + 17. Let j(t) = 10*t - 16. Let q(x) = -3*i(x) - 4*j(x). Let d(u) = 13*c(u) + 6*q(u). Let a(v) = 2*v**2. What is d(a(n))?
-6*n**2
Let c(r) = -r**2 - 3*r + 3. Let b(x) = 4*x**2 + 14*x - 14. Let d(n) = 3*b(n) + 14*c(n). Let q = 0 - -2. Let m(p) = p**2 - 2*p**2 - 2*p**q. Determine m(d(s)).
-12*s**4
Let v(a) = 321*a**2 - 2. Let w(b) = b. What is v(w(j))?
321*j**2 - 2
Let n(m) = 14*m**2. Let a(f) = f - 2. Let d(v) = v - 2. Let j(s) = -4*a(s) + 5*d(s). Let k(b) = -1. Let x(u) = 2*j(u) - 4*k(u). Give n(x(c)).
56*c**2
Let l(t) = -t**2. Let d(z) = -2*z + 7*z + 26*z. What is d(l(a))?
-31*a**2
Let g(b) = -31*b + 54*b - 20*b. Let y(z) = 8*z. Determine y(g(j)).
24*j
Let h(p) = -2*p. Let u(c) be the first derivative of c**3/3 - 20. Give u(h(k)).
4*k**2
Let b(v) = 8*v**2 - 4*v**2 - 3*v**2. Let w(n) = 2*n**2 - n**2 + 3*n - 2*n - 1. Let j(k) = 20*k**2 + 18*k - 18. Let z(r) = 2*j(r) - 3 | {
"pile_set_name": "DM Mathematics"
} |
t c?
-3462*c
Let x(p) be the second derivative of -p**5/20 + 2408*p**3/3 + 1759*p**2 + 8093*p. What is the first derivative of x(f) wrt f?
-3*f**2 + 4816
Differentiate -1554 - 505 - 1631 + 319 - 2034*u + 252 with respect to u.
-2034
Let l(o) be the second derivative of 21*o**2 - 209/12*o**4 + 28*o + 2 + 1/2*o**3. Find the second derivative of l(r) wrt r.
-418
Suppose 0 = -2*a + k + 40, 0 = -11*a + 7*a - 6*k + 96. Find the second derivative of -a*n**4 - 164*n + 12*n**4 + 5*n**3 + 11*n**4 - 23*n**3 wrt n.
24*n**2 - 108*n
Let k(w) = -3*w - 46. Let z be k(-16). Suppose 4 = 3*i - a, z*a = 3*a - 2. Find the third derivative of -2*y**3 - y**3 + 8*y**2 + 2*y**i + 5*y**3 wrt y.
12
Let n(o) = -27*o**3 + 52*o**2 - 45*o - 45. Let u(j) = 18*j**3 - 35*j**2 + 30*j + 31. Let k(x) = 5*n(x) + 8*u(x). Find the second derivative of k(p) wrt p.
54*p - 40
What is the second derivative of -1285*d**5 - 661*d + 277*d**5 - 569*d**5 wrt d?
-31540*d**3
Differentiate -723*g - 55 - 674*g + 35*g + 130*g wrt g.
-1232
Let h(x) be the third derivative of -1741*x**6/120 - 3343*x**5/60 - 2076*x**2. What is the third derivative of h(a) wrt a?
-10446
Suppose 0 = 4*b + 3*s + 2*s - 216, -2*b - 3*s + 110 = 0. Differentiate 277*y - b - 27 - 270*y + 6*y**3 with respect to y.
18*y**2 + 7
Differentiate 928 + 59*k + 1906 - 1439*k with respect to k.
-1380
Let h(y) be the third derivative of -5 - 1/30*y**5 + 0*y**6 - 1/70*y**7 + 0*y - 10*y**2 + 0*y**4 - 17/2*y**3. What is the first derivative of h(g) wrt g?
-12*g**3 - 4*g
Let t(m) be the second derivative of 81*m**6/2 + 247*m**2/2 + 2*m + 207. What is the first derivative of t(f) wrt f?
4860*f**3
Find the first derivative of -1634*a + 2562*a - 5668 - 1723*a - 900*a wrt a.
-1695
Let s(i) be the first derivative of 0*i**5 + 12*i - 1/3*i**6 - 57 + 43/4*i**4 + 0*i**2 - 1/3*i**3. What is the third derivative of s(u) wrt u?
-120*u**2 + 258
Let g(h) be the first derivative of -1437*h**4/2 + 3758*h + 2839. Differentiate g(p) wrt p.
-8622*p**2
Let y(z) be the second derivative of -19/12*z**4 - 32/3*z**3 - 137 + 1/10*z**5 - 2*z + 0*z**2. Find the second derivative of y(w) wrt w.
12*w - 38
Let v(m) be the first derivative of -m**2 - 49/3*m**6 + 0*m**4 + 0*m**5 + 48*m + 16 + 0*m**3. What is the second derivative of v(t) wrt t?
-1960*t**3
Let o(v) be the first derivative of -16*v**6/5 + 139*v**2/2 - 71*v - 136. Let b(j) be the first derivative of o(j). What is the derivative of b(i) wrt i?
-384*i**3
Let g be (0 - 1)/(3/(-9 - 6)). Suppose -5*s = y - 0 + 7, g*s - 2 = -4*y. What is the second derivative of -5*t**2 - y*t**2 + 8*t**2 - 5*t + 8*t**3 wrt t?
48*t
Let q(j) be the first derivative of -26*j - 17/2*j**2 + 1/2*j**3 + 31. Let s(o) be the first derivative of q(o). Differentiate s(g) with respect to g.
3
Suppose -5*y + 1285 + 1923 = -3*u, u - 4 = 0. Suppose -2690 + 178 = -4*l. What is the derivative of -y*z + l*z + 1 + 21 wrt z?
-16
What is the third derivative of 43*m**4 - 2*m + 33*m**4 + 3*m**5 - 1 + 56*m**4 - 41*m**4 + 2467*m**2 + m**3 + 165*m**4 wrt m?
180*m**2 + 6144*m + 6
Suppose 7*f + 13 - 27 = 0. Find the first derivative of -3*o**2 + 163 + 263 - f*o - 328 wrt o.
-6*o - 2
Let j(k) = 5615*k**4 + 14*k**2 + 14*k + 3719. Let l(y) = -1872*y**4 - 4*y**2 - 4*y - 1239. Let u(o) = 2*j(o) + 7*l(o). Differentiate u(d) wrt d.
-7496*d**3
Suppose -2*c = -5*c - 36. Let r(d) = 1. Let v(o) = -18*o + 42. Let z(w) = c*r(w) - v(w). What is the first derivative of z(b) wrt b?
18
Let k(v) be the second derivative of v**4/12 - v**3/6 - 9*v**2/2 + 6*v. Let f be k(5). What is the third derivative of -23 + 9 + 14 - 34*u**4 - f*u**2 wrt u?
-816*u
Let a = 184 - 173. Find the second derivative of 15302*k**5 + a*k + 5 - 15165*k**5 + 0 wrt k.
2740*k**3
Let i = 67 + -14. Find the third derivative of 95*y**3 - 189*y**3 - 53*y**2 + 96*y**3 - i*y**5 wrt y.
-3180*y**2 + 12
What is the third derivative of -64*k**2 + 160*k**3 + 63*k**2 - 2735 - 4535*k**3 wrt k?
-26250
Let b(t) = -9*t - 7. Let h(z) = 122*z + 93. Let l(s) = 30*s + 23. Let o(i) = 2*h(i) - 9*l(i). Let a(r) = 17*b(r) - 6*o(r). Differentiate a(v) with respect to v.
3
Let i(j) = -2*j - 32. Let g be i(-17). What is the second derivative of 1 - g + 20*z - z**5 + 24*z**5 - 72*z**5 wrt z?
-980*z**3
What is the second derivative of 2*z**4 + 18628*z + 499*z**2 + 158*z**2 + z**3 - 13958*z - 3*z**4 wrt z?
-12*z**2 + 6*z + 1314
Let r(b) be the second derivative of b**6/15 - 811*b**4/12 - 28*b**3 - 387*b - 3. What is the second derivative of r(l) wrt l?
24*l**2 - 1622
Let r(v) = 8456*v**2 + 227*v + 93. Let d(c) = -4227*c**2 - 105*c - 47. Let q(g) = -13*d(g) - 6*r(g). Find the second derivative of q(y) wrt y.
8430
Let s(l) be the third derivative of 89*l**5/4 + 1091*l**4/8 - 3468*l**2 + 2*l. Find the second derivative of s(d) wrt d.
2670
Let d(h) = -2 + h**3 - 1 + 5*h + 2*h**2 - 7*h**2 + 1. Let v be d(4). Find the third derivative of -500*b**5 - 11*b**v - 8*b**6 + 500*b**5 wrt b.
-960*b**3
Find the first derivative of -6*d**4 + 279722 + 330*d - 278300 + 4*d**3 - 6*d**3 wrt d.
-24*d**3 - 6*d**2 + 330
Let x(i) = -16*i - 78. Let r be x(-5). What is the second derivative of -42*w - w**r - 635*w**5 + 632*w**5 + 5*w**2 - 2*w**2 wrt w?
-60*w**3 + 4
Let g be 6/(-3)*6*1/(-4). Suppose 4*r - 22 = -q, -g*q = -r - 5*q + 9. What is the third derivative of 7*c**r - c**2 + 13*c**2 + 12*c**5 - 3*c**5 wrt c?
960*c**2
Suppose 0 = 6*s + 10 - 4. Let m = 10 + s. What is the derivative of -7 - m*n**4 - 4 - 1 wrt n?
-36*n**3
Let i(y) = -1391*y**5 + 5*y**3 + 9892*y**2. Let b(w) = -4172*w**5 + 12*w**3 + 29675*w**2. Let a(g) = -3*b(g) + 8*i(g). Find the third derivative of a(c) wrt c.
83280*c**2 + 24
What is the third derivative of j**6 - 17*j**4 - 9349*j**2 - 279*j**3 + 5*j**4 + 276*j**3 + 0*j**6 - 4*j**6 wrt j?
-360*j**3 - 288*j - 18
Let l(f) be the first derivative of -17*f**6/6 + 2*f**5/5 + 9*f**2 - 2*f - 1492. Find the second derivative of l(g) wrt g.
-340*g**3 + 24*g**2
Let z(m) be the first derivative of 1139*m**5/5 + 767*m + 1202. What is the first derivative of z(a) wrt a?
4556*a**3
Let x(v) = -9*v - 104. Let t be x(-12). What is the third derivative of -33*d**2 + 197*d**4 - 147*d**2 - 307*d**t wrt d?
-2640*d
What is the derivative of -2788*b**2 + 1695 + 108112*b - 108112*b wrt b?
-5576*b
Suppose -9*r + 42 = -2*r. Find the third derivative of 111*m**2 - 107*m**r - 98*m**2 + 24*m**6 wrt m.
-9960*m**3
Find the second derivative of 847*w**5 - 1450*w**3 - 7*w + 1450*w**3 - 224 - 4528*w**5 - 1074*w**5 wrt w.
-95100*w**3
Suppose 0 = 4*h + 6*h + 50. Let v be 2 - (h - (-5 - 0)). Find the first derivative of 0*w**2 + 8*w**2 + 11*w**v - 21 wrt w.
38*w
Let b(j) be the second derivative of -4178*j**7/21 + j**4/12 - 7*j**3/2 - j**2/2 - 5*j - 751. Find the third derivative of b(i) wrt i.
-501360*i**2
Differentiate 289*x**4 - 19253 + 211*x**4 + 21246 - 4*x**3 + 4*x**3 + x**2 wrt x.
2000*x**3 + 2*x
Find the second derivative of 41*m - 215 + 11*m - 44*m + 2984*m**2 wrt m.
5968
Let x(q) = 5*q**2 - 8*q + 4. Let n be x(1). Find the third derivative of 43*o**3 - 92*o**2 + o**5 + n + 40*o**3 + 1 - 86*o**3 wrt o.
60*o**2 - 18
Let x(u) = -2588*u**3 - 6*u**2 + 34*u - 14922. Let c(g) = 431*g**3 + g**2 - 6*g + 2488. Let h(q) = 34*c(q) + 6*x(q). Differentiate h(p) with respect to p.
-2622*p**2 - 4*p
Let l = 848 + -846. Suppose -w = 4*i - 10, -3*i = -w + i - 6. Differentiate 2*f**2 - 2 - 10*f**l - w - 1 with respect to f.
-16*f
Suppose 0 = 2*k + 3*k - 35. Suppose k*u - 72 = u. What is the second derivative of 1178*s**3 - u*s**4 - 1178*s**3 - 9*s wrt s?
-144*s**2
What is the second derivative of 58*z**4 - 108*z**2 + 22*z**4 - 1035*z - 98*z**4 + 19*z**4 wrt z?
12*z**2 - 216
Let t be (-1)/(4/(-4559 + 3)). What is the second derivative of 1139 + 66*r - 129*r**3 - t wrt r?
-774*r
Let o(u) be the second derivative of 0*u**2 + 0*u**3 - 1 - 5/6*u**4 + 0*u**5 - 28*u + 46/15*u**6. What is the third derivative of o(f) wrt f?
2208*f
Let k(x) be the second derivative of -x**6/20 + 35*x**5/24 + 61*x**4/4 + 202*x. Let b(f) be the third derivative of k(f). What is the derivative of b(z) wrt z?
-36
What is the second derivative of -2779*l**3 + 797*l - 202969 + 202969 wrt l?
-16674*l
Let v(p) be the second derivative of 73/42*p**7 - 98*p + 0*p**4 + 0*p**5 + 95/6*p**3 + 0 + 0*p**2 + 0*p**6. W | {
"pile_set_name": "DM Mathematics"
} |
**8 assuming f is positive.
f**(9/7)
Simplify (i**(-15)*i*i*i*i/(i/(i*i*i**(12/11))*i*i)*i)**(14/9) assuming i is positive.
i**(-1526/99)
Simplify b**(-9)*b*b/(b/b**(-4))*(b**4*b)/(b*(b**(-9)*b)/b*b*b) assuming b is positive.
1/b
Simplify h**(-5)*h/(h*h**(-2/29)*h)*(h/(h/(h**(-5)*h)))**13 assuming h is positive.
h**(-1680/29)
Simplify (d*d**(-2/7)*d)**37*d**5/((d*d**(2/17))/d) assuming d is positive.
d**(8129/119)
Simplify (b**(-6/7)*b**(1/2))/(b**(-11)*b**13*b) assuming b is positive.
b**(-47/14)
Simplify (h*h**2)**(3/43)/(h**(-3))**(9/10) assuming h is positive.
h**(1251/430)
Simplify i**11/i*i*i/i**(2/7)*i/(i*i**(-6/17)*i*i*i)*(i**(-5/2)/i)/i*i assuming i is positive.
i**(1325/238)
Simplify (i**(-19)/i*i**(9/2))/((i/(i/(i*(i/i**(21/2)*i)/i)))/(i/((i/i**23*i)/i))) assuming i is positive.
i**16
Simplify (((d/(d*d**(-10)))/d)/(d*d*d**8))/(d**(-1/4)/d)**(-1/2) assuming d is positive.
d**(-13/8)
Simplify ((p*p**(-6))/(p**(-3/7)*p))/(p/((p**(5/2)*p)/p*p*p)*p/((p**(-4/19)*p)/p)) assuming p is positive.
p**(-873/266)
Simplify z**(1/12)*z*(z/z**(6/5))/z*z*z*z*(z**(-7/3)/z)/(z/(z**(-20)/z)) assuming z is positive.
z**(-449/20)
Simplify (o/(o*o**(1/3)*o*o))**48*(o**11/o)/((o*o**(-15))/o) assuming o is positive.
o**(-87)
Simplify ((i*i**(-2/27))/(i/((i/i**33)/i)))/(((i**(-4)/i)/i)/i*i)**(-5) assuming i is positive.
i**(-1703/27)
Simplify (((x**0)**(1/12))**(-5/4))**(-5/2) assuming x is positive.
1
Simplify ((z**(-8)*z**7)**26)**(-15) assuming z is positive.
z**390
Simplify o/o**(-21)*o**(-9)*(o**(-1/5))**(-33) assuming o is positive.
o**(98/5)
Simplify (l**(8/3))**(-3/7)/(l**15/(l*l**(3/11)*l)) assuming l is positive.
l**(-1068/77)
Simplify ((z**(1/13)/z)/z*z*z*z**(11/5)/z*z)/(z**(2/57)/(z*z**3)) assuming z is positive.
z**(23126/3705)
Simplify ((g**2)**(9/2)*(g/g**(-4))/g*(g*g**(-6))/g)**(-25) assuming g is positive.
g**(-175)
Simplify (((a*a**(2/5))**13)**(2/109))**(-14) assuming a is positive.
a**(-2548/545)
Simplify (s**11*s/(s**(-5)*s))/((s/(s/s**3))/s*s*s/s**(-5)) assuming s is positive.
s**7
Simplify (h**(5/2)*h/(h*((h**20/h)/h)/h))/((h**17*h)/h**(-2/17)) assuming h is positive.
h**(-1109/34)
Simplify r*(r**(1/5)/r)/r*r*r**(-5/4)*r*r**(-1/9)*r*r**(-16)/r assuming r is positive.
r**(-2909/180)
Simplify (((c*c/c**(-13))/c)/c**(-11))/(c*c*c/(c/c**(-4/9)*c)*c*c)**(1/42) assuming c is positive.
c**(9427/378)
Simplify (y**(2/7)/(y/(((y*y/(y/(y*y/((y*y**(-9))/y)*y*y*y)))/y)/y)))**(-1/9) assuming y is positive.
y**(-86/63)
Simplify ((h/h**(-35))/h**14)**(-4/15) assuming h is positive.
h**(-88/15)
Simplify ((x*x**6)/(x/(x*x**(2/97))))**(-2/15) assuming x is positive.
x**(-454/485)
Simplify ((j*j*(j/(j**(-2/3)*j))/j*j**7/j)**(-2/45))**1 assuming j is positive.
j**(-46/135)
Simplify (b**28/(b/(b**(-9/8)/b)))**39 assuming b is positive.
b**(7761/8)
Simplify ((m**(-2/21)*m*m**(-6))/(m**(-1/2))**(-17))**(-25/4) assuming m is positive.
m**(14275/168)
Simplify (((((d*d**7)/d)/d)**(2/91))**(2/33))**(4/39) assuming d is positive.
d**(32/39039)
Simplify ((y*y*y*y/y**11)/((y/y**(-10))/y))/(y**(-2/7)/(y**(-2/5)*y)) assuming y is positive.
y**(-564/35)
Simplify (d/(d/((d/(((d/(d*d**(-5)*d))/d)/d))/d)))/d**(-2/19)*((d/d**(-1/11))/d)/(d/d**(-6/11)) assuming d is positive.
d**(-700/209)
Simplify (s/(s/(s/((s*s/(s/s**(15/7))*s)/s)*s))*s**7)/(s/s**(2/5)*s)**26 assuming s is positive.
s**(-1251/35)
Simplify (b**16/b*b)/(b**(-4/11)/b)*((b/(b*b/(b/b**(-11))))/b)/(b*(b**(-2/9)*b)/b*b) assuming b is positive.
b**(2533/99)
Simplify (b/(b*b**(1/6)*b*b)*b**0)/((b*b**(-2/9))/(b*b**(2/3))) assuming b is positive.
b**(-23/18)
Simplify ((k**(-1))**(2/27)/(k/((k*k*((k**6*k)/k)/k*k*k)/k)*(k*k**3*k)/k))**44 assuming k is positive.
k**(3476/27)
Simplify (i**(-14)/i)/(i*i/((i**(-6/17)/i)/i)*i)*(i*i**(4/5)/i)**(6/29) assuming i is positive.
i**(-49762/2465)
Simplify ((r*r/((r*r**3*r)/r))**(-3/23)*(r**(1/6)/r)**12)**(-12) assuming r is positive.
r**(2688/23)
Simplify ((s**(-4/5)/(s/(s**(-8)/s*s)*s))/((s**(-9/2)/s)/s*s*s**(-3/4)*s))**(9/5) assuming s is positive.
s**(-999/100)
Simplify (((m/(m**(-4)*m))/(m*m/(m*m**(3/7))))/(m**2)**(-2/13))**11 assuming m is positive.
m**(3740/91)
Simplify l**(-1/14)*l*l*l**(6/5)*l*(l**(-4/7)*l)/(l*(l/l**(2/29))/l*l) assuming l is positive.
l**(5331/2030)
Simplify (((o/o**(-2/5))/o)**(-6/23)*(o/(o/(o**(-1)*o))*o)**(-24/5))**18 assuming o is positive.
o**(-10152/115)
Simplify (s**(-2/9)*s**(3/7))/(s**(-1/8)*s)**(-15/2) assuming s is positive.
s**(6823/1008)
Simplify y/(y**(-3)*y)*y*y*y**(1/10)*(y*y**(-4))**(-10/13) assuming y is positive.
y**(963/130)
Simplify (u**(1/16)/((u/(u*u/(u**(-9)*u)))/u))/(u**(-10)*u**(-11)) assuming u is positive.
u**(497/16)
Simplify (z**(-2/11))**33*(z*z/(z**(-12)*z)*z)/z*z/(z/z**(-3/11)*z) assuming z is positive.
z**(63/11)
Simplify (o*o**(3/5))**27/(o/(o/((o**(-5)/o)/o*o*o)))**(-3/5) assuming o is positive.
o**(201/5)
Simplify (a*a/(a/(a**(2/13)*a))*a)**(10/9)*(a*a**(-7))**8 assuming a is positive.
a**(-5206/117)
Simplify r*(r/((r*r*r*r*r**(-26))/r))/r*r*r**15*r**9/r**0 assuming r is positive.
r**49
Simplify s**(6/11)/s**11*(s/((s**(-23)*s)/s)*s)**43 assuming s is positive.
s**(11710/11)
Simplify (((l*l**4*l)/l*l)/l*(l/(l*l/(l*l**(-21)/l)))/l)/(l**11/(l/(l*l*(l*l*(l*l/(l/(l*l*l*l/(l/(l/(l**(3/26)/l))))*l*l))/l)/l))) assuming l is positive.
l**(-881/26)
Simplify (k*k**(-3))**(-2/11)*(k/(k*k*k**1))**(-5/4) assuming k is positive.
k**(63/22)
Simplify ((s**15)**(-2/19))**(-36) assuming s is positive.
s**(1080/19)
Simplify (l**4/l**(2/5)*(l*l/(l/(l/(l/(l*l*l/(l**4/l))))))/l*l**(1/5))**(2/61) assuming l is positive.
l**(38/305)
Simplify (((x*x**0)/x*x**(3/8))/(x**(2/5)*x*x/(((x*(x*x**(-1/3))/x)/x)/x*x)*x))**(-18) assuming x is positive.
x**(1209/20)
Simplify (u*u*u*u**(2/111)/u*u*u*(u**3/u)/u)/(u**25*u/((u*u**(-2))/u)) assuming u is positive.
u**(-2551/111)
Simplify (l/(l/((l/(l**(1/12)/l))/l)))**(-30)*l*l**(-10)*l*l*l/(l*l**(1/11))*l assuming l is positive.
l**(-739/22)
Simplify q*q*q**(1/4)*q**(2/7)/q*q*q*(q/((q*q**(-1/3)*q*q)/q)*q)/((q**22/q)/q) assuming q is positive.
q**(-1355/84)
Simplify ((n/n**(-2))**(1/68)/(n**5*n**(-4/3)))**(-46) assuming n is positive.
n**(16997/102)
Simplify d*d/(d**(-1/6)/d*d)*d*d**(12/5)*d*d**(-8/3)*d/(d*d*(((d*d/(d*d/d**11))/d*d*d)/d)/d*d) assuming d is positive.
d**(-81/10)
Simplify (a*a/a**(-2/15)*a**11*a)**14 assuming a is positive.
a**(2968/15)
Simplify (((p/((p*p**(-7)/p*p)/p))/(p**(1/5)/p*p*p))**10)**(-12) assuming p is positive.
p**(-816)
Simplify ((u**4/(u/(u/(u*u**(3/5)*u)*u)))**(-2/13))**(-30) assuming u is positive.
u**(144/13)
Simplify (s**(-1/6))**47/(s/(s/(s/s**(-2/11)))*s)**30 assuming s is positive.
s**(-4837/66)
Simplify ((i*i**(-5/6))/i*i)/(i**7/i)*(i*i**(-7)/i)**28 assuming i is positive.
i**(-1211/6)
Simplify ((q/(q/((q*q*(q**2/q)/q)/q)))**4)**(-22) assuming q is positive.
q**(-88)
Simplify (d**(-34)*d**(-41))/(((d/(d*d*d*d/(d*(d*(d/(d*d**21))/d)/d)))/d)/(d*d*d**(-15)*d)) assuming d is positive.
d**(-62)
Simplify (p**(-6)*p**(3/5)/p*(p**(-3)*p)**(-16/9))**(-3/28) assuming p is positive.
p**(32/105)
Simplify (s/(s**(2/7)*s))/(s/s**19)*s**(2/21)/s*s*(s*s**(-7)/s*s*s)/s assuming s is positive.
s**(248/21)
Simplify (g**(-1/2))**22*(g**(-3))**(2/57) assuming g is positive.
g**(-211/19)
Simplify (d**6/(d*d**(2/7))*d**0/d**(2/5))**(1/3) assuming d is positive.
d**(151/105)
Simplify (t**(-8)/((t**(5/4)/t)/t))**(1/3) assuming t is positive.
t**(-29/12)
Simplify ((g**(-2/7)/g)/(g**(-20)/g*g))**25 assuming g is positive.
g**(3275/7)
Simplify (i**3*i*i**0)/(i**6/(i/(i*i/((i/(i*i/(i**(3/8)*i)*i*i))/i)))) assuming i is positive.
i**(-45/8)
Simplify (z**(13/3)*z*z/(z/(z*z*z**(-17)*z)))/(z*((z**(-11/2)*z)/z)/z*z/(z*z**(-3/5))) assuming z is positive.
z**(-113/30)
Simplify ((v**(1/2))**(2/23)*(v**(-1))**(-27))**(-30) assuming v is positive.
v**(-18660/23)
Simplify (((w**(-1)/w)**(-3/25))**32)**(-1/12) assuming w is positive.
w**(-16/25)
Simplify ((c**10/c)/c**8)/((c*((c/c**(-2))/c)/c*c*c*c)/c)**42 assuming c is positive.
c**(-167)
Simplify (((m**(2/9)/m)/m**12)**(1/50))**(-8/3) assuming m is positive.
m**(92/135)
Simplify b**(-9)/(b*b*b**2)*b/b**(-4)*b*b*b**(1/7)*b assuming b is positive.
b**(-34/7)
Simplify (a**16*a**(7/5))/((a/a**(-3/4))/a**(-18)) assuming a is positive.
a**(-47/20)
Simplify (( | {
"pile_set_name": "DM Mathematics"
} |
-3)
-4
Calculate ((-3)/((-9)/(-2)))/((-6)/(-9)).
-1
What is (-8)/30*30/12*-3?
2
Calculate -3*(-16)/(-24)*1/(-19).
2/19
Evaluate ((-1)/4)/(3*45/(-216)).
2/5
(6*11/154)/((-3)/(-2))
2/7
Evaluate (14/(-9))/((16/(-18))/2).
7/2
What is the value of 22/1408*48*2/(-6)?
-1/4
What is (-2)/2*(-40)/32?
5/4
-3*1*2/(-14)
3/7
What is the value of (1/((-28)/32))/(108/(-126))?
4/3
Evaluate 5/(15/(-9))*1/8.
-3/8
Evaluate 2/(-2)*27/(-63).
3/7
What is ((-9)/24)/(45/20)?
-1/6
Calculate 4/((-10)/40*-152).
2/19
What is (-7)/(-4)*336/392?
3/2
What is the value of (7/28)/(5/(-10))?
-1/2
What is the value of ((-8)/60)/((-12)/10)?
1/9
What is ((-21)/(-70))/(3/(-6))?
-3/5
(-8)/(-60)*-3*(-5)/(-3)
-2/3
Evaluate 6/(-10)*(-25)/(-5).
-3
What is the value of ((-2)/4)/((-12)/(-3))?
-1/8
((-2)/21)/((-19)/(-266))
-4/3
What is 2/(-6)*2*(-5)/(-10)?
-1/3
What is 1*((-120)/(-5))/(-6)?
-4
(1/(-2))/(1*3/6)
-1
Evaluate (-9*(-2)/6)/(-1).
-3
Evaluate (3/1)/((-4)/(12/(-3))).
3
What is 1*-6*((-391)/(-34))/23?
-3
What is the value of (-80)/15*(-30)/(-20)?
-8
What is ((-24)/4)/(-6)*2/1?
2
What is the value of ((-24)/2)/2*50/150?
-2
(((-57)/228)/(6/8))/(-1)
1/3
Calculate 0/((18/3)/3*1).
0
What is the value of ((-1)/8)/(2/(-4)*1)?
1/4
What is the value of (2/(20*1))/((-16)/(-40))?
1/4
What is the value of 5*22/55*1/(-2)?
-1
((-20)/(-35))/(1*(-4)/(-2))
2/7
Calculate 16/84*(-1)/4*6.
-2/7
Evaluate (-15*5/30)/((-2)/4).
5
Evaluate (6/24)/((-2)/(-1)).
1/8
What is the value of (((-12)/(-20))/(-1))/(6/4)?
-2/5
Evaluate ((-1)/(-1))/(57/19).
1/3
(4/(-10))/(156/130)
-1/3
What is (-10)/(-105)*((-70)/(-5))/(-2)?
-2/3
What is (-42)/7*12/27?
-8/3
Evaluate 14/(-7)*(-1)/2.
1
Evaluate 2/(-5)*((-160)/3)/16.
4/3
(6/(-3))/((560/(-8))/(-7))
-1/5
What is (0/60)/(4/(-1))?
0
(-1)/4*6*(-12)/9
2
What is the value of (-6)/3*(-27)/18?
3
((-4)/12)/(15/180)
-4
What is (-3)/((-14)/(-4)*(-39)/182)?
4
What is -5*2/6*93/(-31)?
5
What is ((45/42)/(-5))/((-3)/6)?
3/7
Evaluate 0/((-2)/((-10)/(-5))).
0
Evaluate (-120)/((-540)/(-27))*(-1)/(-2).
-3
((-3)/2)/(-18*(-5)/(-40))
2/3
What is the value of (-2)/(-3)*1365/182?
5
Evaluate 4*(-2)/30*75/(-330).
2/33
What is the value of (-2)/((24/18)/((-6)/15))?
3/5
What is ((-160)/12)/5*3/(-4)?
2
Evaluate ((-4)/156*-13)/(2/18).
3
(50/(-180))/(15/(-12))
2/9
What is (4/(-14))/((20/5)/(-28))?
2
Calculate (3/15*5)/((-5)/2).
-2/5
Calculate -1*(-8)/8*0.
0
Calculate 36/(-150)*10/(-3).
4/5
Calculate (-5*3/(9/3))/(-1).
5
What is the value of ((-36)/(-45))/((6/5)/3)?
2
What is the value of 2*(-3)/72*3/1?
-1/4
What is the value of ((-4)/(-10))/(-18*3/30)?
-2/9
What is (10/385)/(6/42)?
2/11
What is (0/(-18))/((-4)/2)?
0
What is the value of (-2)/(7/(42/(-2)))?
6
-3*5/(-5)*-2
-6
What is the value of 3/(-1)*(-2)/(-14)*-7?
3
(10/(-6))/((-20)/72)
6
-6*1*18/(-27)
4
Evaluate (0*(-2)/8)/(-3).
0
Calculate (-16)/280*10/(-1).
4/7
Evaluate 12*3*1/(-45).
-4/5
What is ((-2)/(-20))/(((-42)/35)/2)?
-1/6
What is the value of (5/15)/((-10)/(-15))?
1/2
Calculate 8/((9/(-3))/3).
-8
What is (0/26)/(2*-1)?
0
Evaluate (8/(-12*2))/((-1)/12).
4
Evaluate 4*36/(-96)*-4.
6
(28/90)/7*-5
-2/9
What is the value of (-1*24)/(-3)*5/10?
4
Calculate (-16)/(-4)*3/9*-3.
-4
What is ((-2)/1)/(-1)*1/2?
1
What is the value of (1/(-11)*(-12)/(-3))/2?
-2/11
What is 3/(-9)*(-90)/50?
3/5
What is the value of (5/(-20)*4)/(-1*14)?
1/14
1/4*1*(-8)/(-2)
1
What is (-2)/((40/35)/4*-1)?
7
Evaluate (24/3*1/6)/(-2).
-2/3
Calculate (((-15)/50*-5)/4)/3.
1/8
((-9)/243)/(-1)*12
4/9
What is (-6)/(108/(-30))*(-2)/(-5)?
2/3
What is 3/3*165/33?
5
(64/(-416))/((-5)/65)
2
(-4*(-6)/(-72))/(1/3)
-1
Calculate 40/(-32)*(-1)/(-5).
-1/4
Evaluate 2/(-36)*8*3/(-6).
2/9
What is the value of 5*1*1/5?
1
Evaluate ((80/(-6))/4)/(2/(-3)).
5
What is 2*(-6)/6*10/5?
-4
Evaluate ((-8)/616*-2)/((-2)/14).
-2/11
Calculate ((-10)/6)/((-19)/57).
5
2*-4*(-3)/(-48)
-1/2
Calculate 8/21*(-3)/(-16)*4.
2/7
(2/(2*-1))/(62/(-31))
1/2
What is the value of (-30)/(-50)*20/6?
2
Evaluate ((-1)/(-26))/(-11*(-3)/132).
2/13
Evaluate 3/((-9)/18*-63).
2/21
What is the value of (-130)/52*-2*(-4)/(-10)?
2
Calculate 8/14*14/4.
2
Evaluate (-6)/((-13)/(-52)*6*-1).
4
What is (((-25)/5)/20)/(2/12)?
-3/2
What is the value of ((-120)/(-270))/((4/6)/1)?
2/3
(-1)/(14/(-28))*-4
-8
Evaluate 4/(71/(-355)*(-10)/(-4)).
-8
What is (24/(-210))/(2/(-5))?
2/7
(1/1)/(2/2)
1
What is -2*6/(2/(14/21))?
-4
What is the value of 99/(-66)*5/(10/4)?
-3
What is (6/15)/(14/(-70))?
-2
What is ((-7)/(-12)*-4)/((-2)/(-6))?
-7
Evaluate ((-35)/(-70))/((-2)/6).
-3/2
Evaluate (1/(-1))/(10*(-2)/12).
3/5
What is the value of (-10)/(-8)*(-8)/(-20)?
1/2
-4*((-6)/(-6))/(-4)
1
What is ((-5)/((-15)/(-6)))/(-3)?
2/3
What is (3/(42/4))/(-1)?
-2/7
Calculate (((-2)/(-2))/((-2)/(-6)))/1.
3
Calculate (-4)/6*(-27)/(-90).
-1/5
-1*1*(-22)/66*3
1
Calculate (-10)/40*1*-2.
1/2
What is the value of 10/(-55)*33/11?
-6/11
What is (6/3)/((-2)/16*-28)?
4/7
((-18)/(-84))/((-9)/12)
-2/7
What is ((-6)/24)/((-8)/160)?
5
(-135)/(-60)*3/9
3/4
44/99*3*6/4
2
Evaluate 6/(-4)*(-27)/(-54).
-3/4
What is the value of (11/11)/(-1*4/(-4))?
1
What is (-9)/(-18)*(-8)/4?
-1
((-88)/154)/((-1)/(-42)*-4)
6
Calculate ((-10)/8)/1*(-12)/9.
5/3
What is the value of 1*(-15)/(-10)*(-2)/(-3)?
1
Calculate (-9)/(-6)*(-6)/(-54).
1/6
What is (6*1*4/(-18))/6?
-2/9
-2*-1*(-15)/6
-5
What is -5*(-35)/21*(-4)/20?
-5/3
What is 1/(4/(-1))*56/(-49)?
2/7
What is the value of ((-3)/(12/4))/(-3)*-9?
-3
What is the value of 12/(17/(340/(-30)))?
-8
(-16)/(-28)*(-35)/(-10)
2
What is the value of (1/(-4))/((-18)/(-32))?
-4/9
What is the value of -3*(-20)/(-15)*(-85)/(-476)?
-5/7
What is the value of (-63)/14*80/(-90)?
4
Evaluate (-2)/(-4)*(-100)/(-10).
5
What is the value of (3/12)/(1/2)?
1/2
Calculate 8/2*1*1/1.
4
Evaluate (2/2)/(38/(-133)).
-7/2
Calculate ((-5)/(-20)*-15)/(-3).
5/4
What is 10/12*24/(-80)?
-1/4
Evaluate (-5*3/6)/((-5)/10).
5
3/(-1)*(-22)/242
3/11
(-7)/14*(-4)/(-7)
-2/7
Calculate ((-20)/70)/((-65)/91).
2/5
Calculate (3/3)/(2*(-7)/42).
-3
Calculate (-9)/30*(-24)/(-9).
-4/5
What is (72/60)/((-1)/((-15)/6))?
3
(-8*15/(-10))/2
6
Evaluate (234/(-15))/(-13)*15/(-2).
-9
What is the value of (-6)/(-4)*100/(-200)?
-3/4
Evaluate (48/8)/(-2*(-3)/(-4)).
-4
What is the value of 6*2/(-11)*132/(-48)?
3
Calculate 6/4*6/(-60)*5.
-3/4
Calculate 196/(-147)*(-6)/(-20).
-2/5
What is 36/6*-1*1/8?
-3/4
5/10*4/2
1
What is the value of 1100/396*(-3)/(-5)?
5/3
What is the value of 4*(-1)/12*(-1)/(-1)?
-1/3
What is 54/18*(-8)/(-6)?
4
Calculate ((-118)/(-413))/((-2)/(-56)).
8
15/18*12/40
1/4
Calculate ((-111)/(-259))/((-24)/(-21)).
3/8
Evaluate (1/4*1)/4.
1/16
What is -7*4/14*-2?
4
Calculate 31/((-93)/18)*1.
-6
Calculate ((-3)/(-34))/((-4)/(112/21)).
-2/17
Evaluate ((-3)/6)/((-2)/24).
6
What is the value of 6/(-9)*-3*17/(-153)?
-2/9
3/(-9)*42/(-2)
7
((-27)/(-63))/((-2)/14)
-3
Calculate 20/6*(-306)/170.
-6
What is (-42)/9*6/12*3?
-7
What is the value of (-3*14/588)/(1/8)?
-4/7
Evaluate 814/(-1221)*2/((-28)/(-3)).
-1/7
(4/(24/3))/((-4)/16)
-2
Evaluate 45/(-15)*(-2)/3.
2
Evaluate ((-2)/(-5))/((-5)/25).
-2
Calculate (1/(-9))/(23/138).
-2/3
Evaluate (((-6)/3)/(-4))/((-114)/684).
-3
Evaluate ((-5)/2)/(((-28)/8)/(-7)).
-5
What is the value of (3/(-9))/((-64)/(-24))?
-1/8
Evaluate (-3)/4*28/105*-3.
3/5
What is the value of 3/6*7/(-14)?
-1/4
24/(-2)*(-72)/288
3
Evaluate ((-14)/(-245)*7)/2.
1/5
What is (-16)/(-12)*1*(-7)/(-21)?
4/9
What is the value of (15/(-10))/3*-4?
2
What is (16/11)/(-4)*(-704)/128?
2
What is the value of (-8)/8*(60/(-8))/(-5)?
-3/2
Calculate (-3*9)/1*2/(-6).
9
Evaluate ((-6)/(-60))/((24/45)/(-2)).
-3/8
(1/(-1))/((-4)/40*-5)
-2
Calculate (-8)/(-20)*((-25)/(-6))/5.
1/3
What is ((-12)/9)/((-40)/4)?
2/15
What is (10/275*-5)/((-6)/22)?
2/3
What is the value of -6*(12/6)/(-4)?
3
What is (-2)/7*46/(-23)?
4/7
What is (-2)/(-3)*(-6)/(-40)?
1/10
Evaluate 0/((1/4)/(7/(-28))).
0
Evaluate (8/28)/(4/(-7)).
-1/2
(-9)/90*-2*3*-1
-3/5
1/(((-33)/6)/1)
-2/11
Evaluate ((-34)/255)/((-1)/(-5)).
-2/3
What is (120/32)/(((-18)/4)/1)?
-5/6
What is the value of (6/(-32))/(5/(-10))?
3/8
What is 70/(-120)*14/49?
-1/6
Evaluate ((-1)/6*-4)/(114/(-171)).
-1
Calculate 3/15*5*(-5)/40.
-1/8
10/36*(-12)/(-15)
2/9
Evaluate (12/(-16))/((-15)/10).
1/2
What is 6/(36/(-6))*5?
-5
What is ((-63)/(-168))/(1/(-4))?
-3/2
What is 9*-1*(-16)/(-24)?
-6
What i | {
"pile_set_name": "DM Mathematics"
} |
are there in three tenths of a millennium?
3
How many minutes are there in 249.8196us?
0.00000416366
Convert 4.788493 millennia to decades.
478.8493
How many years are there in three fifths of a decade?
6
What is one twentieth of a centimeter in micrometers?
500
What is 96814.26 litres in millilitres?
96814260
Convert 1339.038 years to decades.
133.9038
How many millimeters are there in 9.333541cm?
93.33541
What is three tenths of a litre in millilitres?
300
How many millilitres are there in 1/5 of a litre?
200
How many microseconds are there in 848.7069 weeks?
513297933120000
What is 1/10 of a millennium in centuries?
1
How many milligrams are there in twenty-nine fifths of a gram?
5800
How many millilitres are there in 6965.621l?
6965621
How many months are there in five sixths of a year?
10
Convert 4.966271um to nanometers.
4966.271
How many millilitres are there in five quarters of a litre?
1250
What is fifty-one halves of a litre in millilitres?
25500
What is 53/4 of a kilogram in grams?
13250
How many microseconds are there in 1081.216 seconds?
1081216000
How many months are there in seven thirds of a millennium?
28000
What is three fifths of a day in seconds?
51840
What is 9.796212 decades in months?
1175.54544
What is one fifth of a kilometer in meters?
200
What is thirteen eighths of a second in milliseconds?
1625
How many millilitres are there in 356.6898 litres?
356689.8
Convert 27.11938l to millilitres.
27119.38
What is seventeen quarters of a century in months?
5100
What is 5/8 of a kilometer in meters?
625
What is three tenths of a day in seconds?
25920
What is twenty-nine fifths of a centimeter in micrometers?
58000
What is 0.3377572 millilitres in litres?
0.0003377572
How many millilitres are there in 17/2 of a litre?
8500
How many centimeters are there in eleven halves of a meter?
550
How many micrometers are there in fourty-five quarters of a millimeter?
11250
Convert 87.79818 days to hours.
2107.15632
How many months are there in one fifth of a decade?
24
How many tonnes are there in 81.71662 kilograms?
0.08171662
How many centimeters are there in 28208.9 nanometers?
0.00282089
How many weeks are there in 1251974.5 days?
178853.5
What is 54.33253 grams in kilograms?
0.05433253
What is one tenth of a tonne in grams?
100000
What is 3/25 of a micrometer in nanometers?
120
What is 418.1248 kilometers in centimeters?
41812480
What is 867225.5 millennia in years?
867225500
What is 3/25 of a microsecond in nanoseconds?
120
How many meters are there in twenty-nine halves of a kilometer?
14500
How many microseconds are there in 4364.183ms?
4364183
How many kilometers are there in 63.9183 meters?
0.0639183
How many years are there in 15.17181 decades?
151.7181
Convert 0.8084216g to nanograms.
808421600
How many micrometers are there in 18/5 of a millimeter?
3600
What is 79448.44 millimeters in nanometers?
79448440000
Convert 595.4371 decades to millennia.
5.954371
How many millimeters are there in 3/8 of a meter?
375
Convert 0.6670773 milligrams to tonnes.
0.0000000006670773
How many nanometers are there in 0.9409838km?
940983800000
What is 1/4 of a millennium in months?
3000
What is 3987.427ml in litres?
3.987427
How many nanoseconds are there in 0.5499073 seconds?
549907300
Convert 9579.177 kilograms to tonnes.
9.579177
What is 18/5 of a hour in seconds?
12960
How many nanograms are there in 3/25 of a microgram?
120
How many millilitres are there in 21/8 of a litre?
2625
How many seconds are there in six fifths of a minute?
72
What is one quarter of a litre in millilitres?
250
What is 43/2 of a litre in millilitres?
21500
What is 6243.294 millimeters in micrometers?
6243294
What is three fifths of a meter in millimeters?
600
How many micrometers are there in 1/16 of a meter?
62500
How many centimeters are there in eleven quarters of a meter?
275
Convert 47673.2 hours to milliseconds.
171623520000
What is one tenth of a kilogram in milligrams?
100000
How many millilitres are there in twenty-nine fifths of a litre?
5800
How many grams are there in one fifth of a kilogram?
200
What is 9292.4ml in litres?
9.2924
Convert 41895.67ng to milligrams.
0.04189567
What is 3/10 of a gram in milligrams?
300
How many kilometers are there in 649644.4 nanometers?
0.0000006496444
How many hours are there in seventy-four sevenths of a week?
1776
How many months are there in 9615.972 decades?
1153916.64
What is 11/10 of a meter in centimeters?
110
What is four thirds of a hour in seconds?
4800
What is 56996.98 milligrams in micrograms?
56996980
How many centimeters are there in 3.69077 millimeters?
0.369077
What is 789585.7 kilograms in micrograms?
789585700000000
What is 668.3537 minutes in seconds?
40101.222
What is 21.296013 months in millennia?
0.00177466775
What is 2/21 of a week in hours?
16
Convert 417.2571 nanograms to milligrams.
0.0004172571
Convert 1.261255 litres to millilitres.
1261.255
Convert 27250.443 months to years.
2270.87025
What is three tenths of a centimeter in millimeters?
3
What is 9973.04 days in hours?
239352.96
How many nanograms are there in three fifths of a microgram?
600
What is 8.368265 days in minutes?
12050.3016
Convert 52517.51 microseconds to seconds.
0.05251751
How many millilitres are there in six fifths of a litre?
1200
What is 3.019382 centuries in months?
3623.2584
Convert 359325.8 nanometers to centimeters.
0.03593258
What is 645643.1 millilitres in litres?
645.6431
What is 25/8 of a gram in milligrams?
3125
How many centuries are there in seventeen halves of a millennium?
85
How many months are there in five sixths of a millennium?
10000
What is 669.612 millennia in months?
8035344
How many milligrams are there in 5.794441 grams?
5794.441
What is 6/5 of a kilogram in grams?
1200
What is 5/8 of a day in minutes?
900
Convert 0.9997838 centuries to years.
99.97838
What is seven quarters of a minute in seconds?
105
How many micrometers are there in 83.99431km?
83994310000
What is 9.973001 milliseconds in seconds?
0.009973001
What is 0.5718183km in centimeters?
57181.83
How many nanometers are there in nine tenths of a micrometer?
900
What is 21/8 of a litre in millilitres?
2625
How many micrometers are there in 6/5 of a centimeter?
12000
How many grams are there in 9.759678t?
9759678
What is 0.6232204 years in millennia?
0.0006232204
How many months are there in five eighths of a century?
750
Convert 3.987943 milligrams to grams.
0.003987943
What is 11/2 of a century in decades?
55
What is 40589.68cm in kilometers?
0.4058968
How many nanograms are there in 95.77774ug?
95777.74
What is 73/3 of a year in months?
292
How many millilitres are there in 17/4 of a litre?
4250
How many litres are there in 0.1851436 millilitres?
0.0001851436
How many weeks are there in 92536.1955s?
0.15300296875
Convert 54.19229 centuries to years.
5419.229
What is 16.2634 years in months?
195.1608
How many tonnes are there in 775195.5ug?
0.0000007751955
Convert 1403695.44s to weeks.
2.320925
What is 6/5 of a meter in centimeters?
120
What is 6.943201 centuries in months?
8331.8412
Convert 22895.44 litres to millilitres.
22895440
Convert 8.56938 millilitres to litres.
0.00856938
How many minutes are there in 1/36 of a day?
40
What is 36140.46 centuries in millennia?
3614.046
How many kilograms are there in 7911.544ng?
0.000000007911544
How many months are there in 33/5 of a millennium?
79200
How many millimeters are there in thirty-seven halves of a centimeter?
185
Convert 879.6296 millilitres to litres.
0.8796296
How many millimeters are there in fourty-four fifths of a meter?
8800
How many hours are there in 27/2 of a week?
2268
Convert 0.896349 years to decades.
0.0896349
How many millilitres are there in eighteen fifths of a litre?
3600
How many micrometers are there in 67/5 of a millimeter?
13400
How many minutes are there in 5/8 of a day?
900
What is 2/125 of a litre in millilitres?
16
How many micrograms are there in 242704.4g?
242704400000
What is 21/2 of a tonne in kilograms?
10500
Convert 43970.71 millennia to years.
43970710
What is one fifth of a litre in millilitres?
200
How many decades are there in 6/25 of a millennium?
24
Convert 0.6353735 millilitres to litres.
0.0006353735
What is five quarters of a litre in millil | {
"pile_set_name": "DM Mathematics"
} |
3*g = -11 for m.
4
Suppose 24 - 6 = 3*w. Suppose 0 = -2*v + w*v - 40. Solve l + 8 = 3*k + 2*k, -2*l + v = 3*k for l.
2
Suppose 2*h - 5 = 1. Solve t + 18 = -g + 4*t, 1 = h*g + 2*t for g.
-3
Let y(a) = a + 2. Let m be y(2). Suppose -20 = -9*i + m*i. Suppose l + 21 = 2*l + 4*f, 39 = i*l + f. Solve -5*s + l = 4*r - 0*r, -3*s + 11 = r for r.
-4
Let b(q) = q**2 - 7*q + 6. Let i be b(6). Suppose -y = -i*y. Solve -4 = -s + w + 4, -s - w = y for s.
4
Suppose 9 = 5*m - 2*k - 9, 0 = 2*m + 5*k + 16. Solve 5 = -u - m*b, -3*b = -5*u - 2 + 3 for u.
-1
Let k = 43 + -41. Solve -5*j + 18 = 5*x - j, -4*x - k*j + 12 = 0 for x.
2
Let p be -3*(-2 + (-2 - -3)). Suppose -2*g = -4*l + 47 + 37, -2 = g. Suppose 2*u - 20 = -2*h, -2*u + p*u + l = 5*h. Solve v + 2 = 0, -3*r + 4*r - h*v = 6 for r.
-4
Suppose -59 = -3*z - 44. Solve 0 = 5*q + 4*b + 6, z*q - 4*b - 24 - 2 = 0 for q.
2
Let l(o) = -12*o + 4. Let k be l(-3). Solve 10*q - 5*q - k = 3*g, g + q = 0 for g.
-5
Let d(n) = -n + 10. Let v be d(5). Solve v*t + 2*x = -0 - 8, -5*x = 20 for t.
0
Let b(x) = x**2 - 7*x + 9. Let r = 1 + 5. Let j be b(r). Solve 3*a = 3*m, 3*m + 2*m = j*a for m.
0
Let m(v) = -v**3 + 10*v + 3. Let b be m(-3). Solve q = 5*t + 3, b*q - 3*q + 9 = -t for q.
3
Let a(b) = b**2 + 3*b - 7. Let p be a(-9). Let z = -15 + p. Let h = 11 - 7. Solve -1 = -k - k - 3*x, -4*k + h*x + z = 0 for k.
5
Suppose 4*x + 4 = g, -5*x - 11 = -3*g + 1. Suppose 56 = -0*w + g*w. Solve 0 = 2*u + 5*r - w, -4*u - r + 5*r = 0 for u.
2
Let l = 1 + 3. Suppose m = -3*x + 12, 0 = -m + l*x - 10 - 6. Solve 5*d + 3*w + 26 = 0, -3*w - 2 = -d - m for d.
-4
Suppose -f - 3*f - 24 = 0. Let q be f/(3 + 2 + -6). Let c(g) = -g + 11. Let i be c(q). Solve 0 = 2*b - 3*n - i + 30, -2*n = 2*b for b.
-5
Let i = 6 + -3. Let s be ((-3)/i)/(4/(-16)). Solve -5 = 5*g + 5*t, 2*g = -3*g + 4*t + s for g.
0
Let b(n) = n**2 + 4*n - 6. Let t(v) = -v**3 + 8*v**2 - 6*v - 3. Let u be t(7). Let k be b(u). Solve 3*p = -15, 3*o + 2*p - k = 6*p for o.
2
Let i be 0*(6/(-9))/(-2). Let d be i/(1 + 0) - -4. Solve -c = d*o - 0*o - 11, 3*o + 3 = 3*c for c.
3
Suppose -5*n + 0*n = -90. Suppose 4*a = -2 + n. Suppose -a*k + 166 = 22. Solve -2*h + k - 13 = 5*q, -4*q + h = -21 for q.
5
Suppose -5*k = 4*h - 14, 5*h + 0*k = 4*k - 3. Let d be (-2)/3 + 4/(-3). Let g = h - d. Solve -g*s - 5*q = 35, -2*s - 5*q - 40 = 2*s for s.
-5
Let s(z) = 11*z - 45. Let b be s(7). Solve 0 = -5*h - 4*w + b, 0*w - 5*w = -h - 11 for h.
4
Let p(f) = f - 3. Let i be p(3). Suppose i = -4*x - 5*h + 13 - 0, -h + 1 = 0. Suppose x*z + 20 = 6*z. Solve n - z*n = -3*y - 6, 0 = 5*n - 4*y - 7 for n.
3
Suppose -5*k + k = 0. Suppose -3*p + 24 = -3*h, -2*h = -5*p + 37 + 6. Suppose 24 = p*q - 5*q. Solve 0 = 4*l - 5*i + 9, -5*l = -i - k + q for l.
-1
Let k = 5 + -3. Suppose -27 = 4*i - 3*x, -2*i + 3*x - 34 = -13. Let f = 1 - i. Solve 5*d = u - 21, k*d - 4*d - f*u = 4 for d.
-4
Let a = -21 + 29. Let y be (-247)/(-7) - a/28. Solve 2*u = 3*q + 23, 3*q + 0*q + y = 5*u for u.
4
Let s(h) = -1. Let o(n) = -2*n - 3. Let z(g) = -o(g) + 2*s(g). Let j be z(2). Solve -7 = j*r - 2*w, -2*r + 5 = -r - 2*w for r.
-3
Suppose u - 22 = -2*y, 4*y - 4*u - u - 58 = 0. Solve -2*x - 2*p - 18 + 2 = 0, y = -x - 2*p for x.
-4
Suppose 2*c = 1 - 9. Let o be 1*(-2)/4*c. Solve 0 = -o*x + 3*v + 18, 4*x - x + 3*v = -3 for x.
3
Suppose -3*k + 12 = 0, -f = 2*f - 3*k. Suppose a - 4*z = f*a - 2, -5*z + 1 = 3*a. Solve -6 = -a*y - 2*w - 2*w, -6 = -y + w for y.
5
Suppose 0*q - 2*q - 5*s + 25 = 0, -2*s = -6. Let p = q - 3. Solve -3*w + 3*k = p*w - 17, w + 5*k = -19 for w.
1
Suppose -t = c - 4, -4*c + 19 = 2*t + 3*t. Suppose -5*k + 10 = -3*l - 0*k, -3*l = -2*k - 5. Solve l*f + v - 23 = 1, -t*v - 13 = -2*f for f.
5
Let m(b) = b**2 - 6*b - 8. Let c be m(7). Let n be 3*-3*c/3. Let x be 21*-1*n/(-3). Solve 7 = 4*y + 3*q, 0*q - x = -3*y + 3*q for y.
4
Let q be -1*12/42 + 46/14. Solve -q*c + 20 = -2*b - 1, 3*c + 5*b = 0 for c.
5
Let r(z) = -z**2 + 4*z - 1. Let o be r(3). Solve -8 = -4*j, -q - 4*j + j = -o for q.
-4
Let v(c) = -c**2 - 6*c + 1. Let y(h) = 7*h**3 + h + 2. Let z be y(-1). Let j be v(z). Solve -b - 4*l - 5 = 0, -5 = 2*l - j for b.
3
Let p = -31 + 33. Solve 5*c - 2*h = -33, -3*h = 4*c - p*c - 2 for c.
-5
Let w(r) = 13*r**3 - 3*r**2 + 2*r. Let d be w(1). Solve -3*a - 5*y - d = 0, -a + y - 8 = a for a.
-4
Let j = 10 - 6. Let d be (8/5)/(j/10). Suppose -d = -2*u - 3*z + 5*z, -z + 4 = u. Solve 5 = -f - 2*h, 0 = -0*f - f + u*h for f.
-3
Let m(h) = -h**3 - 2*h**2 + h. Let p be m(-3). Solve -2*w + p = -f - 0, 2*f = -w - 7 for f.
-4
Let g(c) be the third derivative of c**4/24 + 2*c**3/3 - 4*c**2. Let x be g(0). Solve 4*h = -x*a + 16, 0 = -3*a + a - 5*h + 11 for a.
3
Let q = -9 - -12. Solve 0 = -3*a - 3*y - 15, -2*y = y + q for a.
-4
Let d = -86 - -88. Solve -b = -x + 3*b + 7, -3*x = -d*b - 1 for x.
-1
Let f(w) = -w**3 - 3*w**2 - 2*w. Let h be f(-2). Solve h = 2*g + 5*p + 11, 2*g + 2*g + 4*p + 16 = 0 for g.
-3
Let w be ((-22)/6)/((-2)/6). Let y be (12/(-5))/((-3)/10). Suppose -4*b - y = 4*h, -w = 3*b + 4. Solve -h*o = t - 1, 2*t - 4*o = 10 + 2 for t.
4
Let w(f) = f**2 - 4. Let r be w(-3). Let y be (-4)/20 - 152/(-10). Let l be ((-5)/3)/((-5)/y). Solve -l*o + r*h = 0, h - 5 = -6*o + 2*o for o.
1
Let h = -9 + 14. Suppose 0 = -h*q - 0*q. Suppose q = -u - u + 52. Solve 0*n + u = 2*c - 4*n, 5*n + 25 = c for c.
5
Let l be (3/6 - -1)*2. Suppose l = 2*f - 31. Suppose j = a + 4 - 1, 0 = -3*j - 5*a + f. Solve 5*q = -0*o - j*o + 9, 0 = o + 2*q - 3 for o.
1
Let q be ((-94)/3)/(2/(-3)). Suppose -g + q = 12. Suppose 6*r - 2*r = 5*w + g, -14 = -r + 3*w. Solve 4*t - 8 = -5*f, 0*f - 5*f + 35 = -r*t for f.
4
Let h(c) = c**3 - 8*c**2 + 7*c + 1. Let n be h(7). Solve -5*u - 3 = -w - w, n = -2*u + w for u.
-1
Suppose -4*b - 78 = -3*b. Let j be (-325)/b - (-2)/(-12). Solve 0 = 2*h - 0*h + 4*s + 2, j*h - 2*s + 24 = 0 for h.
-5
Suppose n = 7*n - 24. Solve 2*f + n*u = 0, 0*u - 1 = 2*f + 3*u for f.
-2
Let g be (-31)/4 + 7 + (-30)/(-8). Solve -8 = 4*z - g*u, 0 = 2*z - 4*u - u + 4 for z.
-2
Suppose 0 = -5*i - s + 56, -s = 5*i - 3*s - 68. Let c(h) = h**3 - 12*h**2 + h - 10. Let b be c(i). Solve -y = 4*w - 9, y + 18 = -b*y + 3*w for y.
-3
Suppose -p + 22 = -5*h, -4*h + 5*h - 58 = -5*p. Solve 8 = 3*o + 2*k, 5*o - 3*k + p = 3*o for o.
0
Let g = -4 - -5. Let f be 6/(-2) - -3*g. Solve 3*t = -v + 2*t, -5*v + 4*t - 45 = f for v.
-5
Let o = -4 + 8. Suppose 2*h = 4*u - 66, 3*h = o*u - 22 - 43. Solve -3*x - 5*y - u = 0, -6*y = -3*y + 12 for x.
1
Let d(a) = a**2 - 3*a - 14. Let w be d(6). Solve 8 = -4*c - u + w*u, -5*c + u = 10 for c.
-2
Suppose -c = -k - 11, 0 = -2*k + k - 4*c + 4. Let p = 18 + k. Let z be 6/30 + 28/p. Solve -z*t + 6 = 0, 2*a - 2*t + 6 = -4 for a.
-3
Let m(y) = -y**3 - 5*y**2 - 3*y + 4. Let k be m(-4). Solve -2*a + 2*g - 4 = 0, -2*a + k*g - 5*g = -24 for a.
2
Suppose 3*w = 4*w - 5. Suppose y - q + 3*q - 3 = 0, -3*q - 15 = -w*y. Solve -j = -y*d + 9, 3*d - 8*d + 15 = -j for j.
0
Let l(d) = -d**2 - 4*d + 4. Let k be l(-3). Solve -2*u - 2*q = -3*u - k, u - 1 = -2*q for u.
-3
Let u(j) = -j**2 - 7*j. Let w be u(-7). Let z be (w - -1) + 0 - -2. Solve 0 = 3*r - 3, -z*a - 2*r + 9 = 22 for a.
-5
Let b be (-1)/(-2) + (-52)/8. Let w be 0*(b/4 + 2). Suppose 2*m + 3*m - 20 = w. Solve 5*f - 15 = 5*k, m*k - 2*k + f = 0 for k.
-1
Let o = -2 + 15. Solve -o = -4*v - q, -3*v + 4 = -2*v + q for v.
3
Let r(x) = x**3 + 4*x**2 - 1. Let i be r(-3). Let a = i - 3. Solve 0 = 5*d + 4*g + 3, -a*g + 13 - 1 = d for d.
-3
Let s be (7 - 2)*(-1 + 2). Let v(x) = -x**3 + 5*x**2 + x + 1. Let u be v(s). Let a = u - 2. Solve 4 = -4*j + a*t, -j + t - 3*t + 2 = 0 for j.
0
Suppose 0 = 4*z - 6 - 10. Suppose -2*f = -z*f + 4. Solve 2*j = 2*v - 3*j + f, j + 10 = 3*v for v.
4
Suppose -5*v - 71 = -1. Let p = 14 + v. Solve 2*w = 2*f - 16, 2*f + 2*w = -p*f for f.
4
Let j(c) = c**3 - 4*c**2 - 8*c - 4. Let s be j(6). Suppose 0 = -0*h - 4*h + s. Let f(y) = -y - 1. Let m be f(-6). Solve -4*v + 3*u = h, v - 1 = -2*u - m for v.
-2
Let q(x) be the third derivative of -x**4/24 + 5*x**3/2 - 3*x**2. Let v be q(9). Solve -8 = -4*j + v*j + 2*z, 4*j = -3*z - 15 for j.
-3
Let q(z) = -7*z + 4. Let f(t) = 6*t - 3. Let d(a) = -6*f(a) - 5*q(a). Let b be d(-4). Solve b = v + y + 1, 4*y = -3*v + 4 for v.
0
Let a be (-7)/(105/(-6))*5. Solve 1 - 4 = 3*x - | {
"pile_set_name": "DM Mathematics"
} |
03/128 (c) 5
c
What is the sixth smallest value in -95, -5, -4, -0.5, 5642, -3/2?
5642
What is the second biggest value in 9, -199, -675/14?
-675/14
What is the third smallest value in 4, -5/2, -716, -0.4, -1, 1?
-1
Which is the third smallest value? (a) -1626.143 (b) 1 (c) -2/7
b
Which is the fifth smallest value? (a) 4 (b) -1 (c) 47 (d) 0.03 (e) -5/3 (f) -3 (g) -0.05
d
What is the fifth biggest value in 2, 7/5, -304, 0.3, -1, -2/5?
-1
What is the biggest value in 1/5, -119, -8, 0.1, -9, -1/5, 0?
1/5
What is the third smallest value in -22/7, 17098, -1/4?
17098
What is the fifth biggest value in -1/3, 2, 159074, -4, 7/6?
-4
Which is the second smallest value? (a) -0.1 (b) 0.6 (c) -67709 (d) 35 (e) 0.2
a
What is the third biggest value in 3/7, 1/2, 474/47, -58, 0.4?
3/7
Which is the fifth smallest value? (a) -129 (b) 17 (c) -0.4 (d) -3 (e) -0.3 (f) 36 (g) 8
g
Which is the second biggest value? (a) 0.09 (b) 113.87 (c) 79
c
What is the fourth smallest value in -4.934, -0.1, 3/2, -2, -3?
-0.1
Which is the third biggest value? (a) -8620049 (b) 0.081 (c) 3
a
What is the biggest value in -1/209, -1/7, -1/5, -3, -2?
-1/209
Which is the second biggest value? (a) 15 (b) -2/5969 (c) 0.3 (d) 0 (e) 5/32
c
Which is the fifth smallest value? (a) 9 (b) -1/5 (c) 0.2 (d) -16 (e) 0 (f) -17
c
Which is the fourth smallest value? (a) -8964 (b) 2/55 (c) 0.058 (d) -1
c
Which is the second smallest value? (a) 2/5 (b) -4/369 (c) 428614
a
What is the fifth smallest value in -2, 3/7, 31, 8, -4, -7, 273?
8
What is the third smallest value in -0.1, 0.2, 0.063, -1/392?
0.063
What is the second biggest value in 0.4, -0.5, 33, -1/3, 1, -14, -25?
1
Which is the smallest value? (a) -509 (b) 0 (c) 526 (d) 1/6
a
Which is the second biggest value? (a) -2 (b) -0.09 (c) -0.2 (d) -2/3 (e) -0.21 (f) -107474
c
What is the second biggest value in -0.04, -237, 860, -2/3?
-0.04
Which is the third biggest value? (a) 2 (b) -5 (c) 59511749
b
What is the sixth biggest value in -2, 4/15, 509, -3, -2/3, 53?
-3
Which is the smallest value? (a) -2/11 (b) 5/107241 (c) 2/45
a
Which is the third biggest value? (a) 0.2 (b) 4 (c) -5/4 (d) -107.05 (e) 5 (f) 1
f
What is the second smallest value in -5, -0.2, 1, 1/245, 10291, -0.1?
-0.2
Which is the fourth biggest value? (a) -2/21 (b) 15 (c) 7 (d) 55 (e) 1/2 (f) -40
e
What is the smallest value in 25, -1/8, -41.2, -4.2, 14?
-41.2
What is the second smallest value in 5, 26, -4.8451, 1/17?
1/17
What is the third biggest value in 2/3, 2/1017, 2, -1733?
2/1017
What is the third biggest value in -0.02, 132/7, -2/145, 0, 3/4?
0
What is the smallest value in -43821, 35, 0.15?
-43821
Which is the fourth biggest value? (a) 13 (b) -3/142 (c) -313 (d) 0.3
c
What is the sixth smallest value in 0.133, 0, -0.4, -5, -47, -4/5, 9?
0.133
What is the sixth smallest value in 3, -0.1, -23.4, 10, 106, 2, 0.4?
10
What is the seventh biggest value in 1/10, -4/3, -2, -0.4, -144.8, 0, -1?
-144.8
Which is the seventh biggest value? (a) 5/4 (b) 1/4 (c) 0.3 (d) 0 (e) -5 (f) -4 (g) 22274.1
e
What is the second biggest value in 0.04, 0.2, 4, 2308?
4
Which is the fourth biggest value? (a) -5 (b) 3/10 (c) 0.12 (d) -7/17 (e) 3
d
Which is the sixth biggest value? (a) -3/8 (b) -4 (c) -0.1 (d) 1 (e) 2 (f) 0.2624 (g) 0.17
a
What is the biggest value in 1693, -2/3, -0.3, 51/11, -1?
1693
What is the third smallest value in -7.6798, 26, -2/19?
26
What is the second smallest value in 3, 1/2, -5, -0.4, -239, 2/9?
-5
What is the biggest value in -832, 1/5, -36, -1246?
1/5
Which is the sixth smallest value? (a) 1/15174 (b) -4/7 (c) 0.5 (d) -0.5 (e) 0.2 (f) 4
f
What is the fourth biggest value in -2, 4/5, -0.4, -2/1819, 1/23, -53?
-0.4
Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 2 (d) -2 (e) 0.11 (f) 624 (g) 0
g
Which is the smallest value? (a) -4 (b) -0.09 (c) 3325
a
Which is the second smallest value? (a) -2/13 (b) 1/4 (c) -23 (d) -2/143 (e) 2/3 (f) -0.4
f
What is the third smallest value in -11, 0.3, 3.83, -1, 5.9, -0.4, 5?
-0.4
Which is the third smallest value? (a) 183 (b) 3 (c) 4943 (d) 0.05
a
What is the third smallest value in 2/3, 5950.7, 3?
5950.7
What is the fourth biggest value in -231, -76, 0, -68, -6, 2/7?
-68
Which is the biggest value? (a) -193/7 (b) 3/7 (c) -7/26 (d) -0.1
b
What is the second biggest value in 0.3, 0, -10, -1425, -180, -0.1?
0
What is the second biggest value in 2, 1/5, -3607863?
1/5
What is the smallest value in -2/7, 0.1, -1.16, 2/15, -0.5, -0.2, 4?
-1.16
What is the third smallest value in -5, -0.21, 4/225, -3/7, 16/3?
-0.21
Which is the biggest value? (a) 2 (b) -2/7 (c) -131786 (d) -67/4
a
What is the fourth biggest value in 0.9, -24/271, 51, 3?
-24/271
What is the third biggest value in -26.33, 33/8, -3, 0.01?
-3
Which is the second biggest value? (a) 0.23 (b) -22/5 (c) -4 (d) 4 (e) -3/4 (f) -3 (g) -28
a
Which is the smallest value? (a) 777/41 (b) 2/3 (c) -6 (d) -781
d
What is the fifth smallest value in -0.3, -36, 563, -2/7, 4/3, 5, 328?
5
Which is the second smallest value? (a) -4 (b) -2/11 (c) 17/6 (d) -0.1 (e) -5 (f) -2125
e
Which is the smallest value? (a) -3 (b) 102 (c) -0.1 (d) 111/110 (e) -3/8
a
What is the third smallest value in 6/7, 3, 1/97, 1, 0.2, -0.21?
0.2
Which is the fourth smallest value? (a) 1 (b) -18202 (c) -15/8 (d) 5
d
What is the biggest value in -3, 10.88, -1.8, -2/17, 7?
10.88
What is the third biggest value in 0.3, 425/4, -1.1, -2/3, -1/2?
-1/2
What is the third biggest value in -7.1, -1/7, 2/13, 2/9, -57, -3?
-1/7
Which is the third biggest value? (a) -14 (b) 8 (c) -3/2 (d) 2 (e) 0.2 (f) -85
e
What is the second smallest value in -0.7, -24691, -35?
-35
Which is the second biggest value? (a) -4 (b) 20718/5 (c) -2/57 (d) -1.52 (e) 5
e
What is the second biggest value in -2/13, 0.5, -5, 4, -177.4, 137, -0.5?
4
Which is the second biggest value? (a) -7.4 (b) 1/4 (c) -136/59
c
Which is the fifth biggest value? (a) 17 (b) 1 (c) -5/101 (d) 5/48 (e) -2/7 (f) -0.4 (g) 0
c
Which is the third biggest value? (a) -2/1191 (b) 4 (c) 25 (d) -0.8 (e) -0.2
a
Which is the second biggest value? (a) 2/3 (b) -1779 (c) -1 (d) -2/15 (e) -1/59 (f) -1/2
e
Which is the smallest value? (a) 0.4 (b) -1/28 (c) 108/625
b
What is the third biggest value in -18, -1, -3, -2970, 3, 4, -4?
-1
Which is the fourth smallest value? (a) 1/6 (b) -6/5 (c) 2 (d) 3 (e) 5 (f) 304005 (g) -7
c
What is the third biggest value in 1/13, 0, -7, 2346, -0.5?
0
What is the third smallest value in 4/7, -0.119, -73, 0.02?
0.02
Which is the second biggest value? (a) -2/4183 (b) 0 (c) 16 (d) 1/15 (e) 3/2 (f) 3 (g) -3
f
What is the third smallest value in -2, -368782/25, 1?
1
What is the fourth biggest value in -5, 86/15, 15, 2, -1?
-1
Which is the smallest value? (a) 4/77 (b) 205425 (c) 0.2
a
What is the second smallest value in 3/2, -0.0242783, -2, 1?
-0.0242783
Which is the third smallest value? (a) -35053323 (b) 1/3 (c) 2/9 (d) -0.2
c
What is the smallest value in 241594, -11, -0.3?
-11
Which is the fourth biggest value? (a) 0.05 (b) -2/5 (c) -1/6 (d) -1/3 (e) -0.2529 (f) 29
e
Which is the second biggest value? (a) -0.04703 (b) -112379 (c) -2
c
What is the third smallest value in -48.626, 3, 0.1, -1.1, -4, 0.2?
-1.1
Which is the biggest value? (a) -2.9 (b) -81 (c) -1 (d) 0.2 (e) -2/7 (f) -0.5 (g) 13
g
What is the second biggest value in 829, 2, 4, -262?
4
Which is the second smallest value? (a) -2/9 (b) -73 (c) -1/2 (d) -1/5
c
What is the second biggest value in -1/2, 0.5, 82, -1/11, 2, 2/3?
2
Which is the third smallest value? (a) 14271 (b) 459 (c) -4/5
a
What is the smallest value in -5, 57.42, 0.3, 2, -21/4?
-21/4
What is the third biggest value in 0.1, 586, -117, 2, 85, 1.8?
2
What is the biggest value in 0, 10, 12483628?
12483628
Which is the second biggest value? (a) -4 (b) -13166/9 (c) 13
a
What is the third smallest value in 0.1, 1, -1, -2/3, -2, -0.0248, 3/1864?
-2/3
Which is the fifth biggest value? (a) 16/65 (b) 108 (c) -12 (d) 0.1 (e) 14
c
Which is the fourth smallest value? (a) -2 (b) -12 (c) -2/3 (d) 2/127 (e) 0.03 | {
"pile_set_name": "DM Mathematics"
} |
b.
-4
Let k(b) = -b**3 - 9*b**2 + 7. Let n be k(-9). Let m(g) = -g - 7. Let x be m(n). Let h = 17 + x. Solve 5*l - 22 = p, -6*p = -h*p + 6 for l.
4
Suppose 33 = 3*h - 57. Suppose -a = -0*a - 3*v - 17, h = 2*a - 5*v. Solve 2*c = 4*q - 10, -a*q + 4*c + 8 = -q for q.
3
Let h = -148 - -152. Solve -3*y = -h*l + 11, -5*y + 4*l - 8 = -y for y.
3
Suppose -80 = -2*p - 0*p. Let z = 40 - p. Solve -d + 2*s - 1 = z, 4*s - 2 = 2*d + 2*s for d.
-1
Let m(n) = n**3 - 9*n**2 + 14*n + 5. Suppose 0 = 6*g - 28 - 14. Let r be m(g). Solve 0 = i + 4, -2*i + 0*i = -3*j + r for j.
-1
Suppose 4*l - 329 = -225. Solve p + l = -3*p - 2*t, 4*p + 31 = -3*t for p.
-4
Suppose 5*x + d = 2, -5 - 1 = -3*d. Solve -2*j + 5*j = -4*s - 3, x = j - s - 6 for j.
3
Suppose j = -2*p + 9, -4*p + 26 = 4*j + 6. Solve p*w + 3*h = -23, 4*w - 3*w = -h - 7 for w.
-2
Let i = 16 - 11. Let y(p) = -3 - 4 + i + 8*p - 3*p. Let x be y(4). Solve -3*h - w = 2*w + x, -4*w = -2*h for h.
-4
Suppose 2*x = -3*a - 42, x - 2*a + 6 = -29. Let c = x + 32. Let y = 8 + -6. Solve c*n - 10 = -5*z, -5*z + 3 = y*n - 10 for z.
3
Let x be (-5)/(-10) - 12/(-8). Suppose 5 = l + x*r, 5*r - 4 = r. Solve 4*g = 2*f - 1 + 3, 4*g - 17 = -l*f for g.
2
Let w = -395 - -400. Solve -w*i = 2*d - 25, -6*d + 4*d + 2*i = -4 for d.
5
Let c(w) be the third derivative of w**5/60 - w**4/24 - 11*w**2. Let t be c(0). Solve -8 = -n + i - 3*i, t = -3*n + 2*i for n.
2
Let k(z) = 8*z**2 - 7*z**2 + 3*z - z + 0*z. Let c be k(-4). Suppose q = -c + 10. Solve -12 = -q*o - 2*j, -1 = -j + 1 for o.
4
Let u be 15/(-4) + (-9)/(-12). Let n = 5 + u. Suppose 4*i - 5*y + 0*y = 0, n*y - 8 = 0. Solve -3*o - 3*k + 24 = -6*k, 2*o = -i*k - 5 for o.
5
Let n(i) = -2*i**2 - 7*i - 33. Let m be n(-5). Let q be (-2)/(-13) - m/26. Solve -4*y = -j + 25, -45 = -q*y + 7*y - 4*j for y.
-5
Suppose -2*s - 3*s = -45. Let y be 5 + (9 - 5 - 4) - 1. Solve -h = 4*c + s, 4*c = -0 - y for h.
-5
Let q(c) = -c - 2 + 11 + c + c. Let u be q(-7). Solve u*d - 4 = 4*k + 4*d, 4*k + 8 = -d for k.
-3
Let f(m) = m**3 + 16*m**2 - 37*m + 2. Let x be f(2). Solve a + 4*z - 9 = x, -z + 6 = 3*a - 10 for a.
5
Let g = 15 - 7. Solve -3*k - 12 = -3*t, -4*k - g = -2*t - 0*t for k.
0
Let l be (-2)/(-6) - (5 + (-250)/6). Let n = l + -35. Solve w = -4*a + 22, 5*w - 15 = -n*a + a for a.
5
Let s = -87 - -33. Let a = -32 - s. Suppose 0 = 2*w - 15 + 5. Solve -3*d = -h + 4, -w*h - a = -3*d + 2*d for h.
-5
Suppose 0 = -5*i - w + 17, 0 = 55*i - 57*i + 3*w. Solve -5*k = 4*h - 14, i*k - 5*h = -k + 3 for k.
2
Let v be (3/9)/((-4)/(2*-18)). Suppose -t = -4*l + 45 + 11, -v*l + 3*t + 33 = 0. Solve -l = -5*b, -2*b = -5*f + 9 + 5 for f.
4
Let c be 1*(9 + 60/(-10)). Solve 5*z = -0*w + w, 4*z = c*w for w.
0
Let h(t) = 2*t**3 - 32*t**2 + 2*t - 27. Let j be h(16). Solve -4*g - j*r = -g + 19, -2*r = 3*g + 4 for g.
2
Suppose 5*d + 2*j = 11, -d - 13 = -2*j - 8. Solve 2*b - q + 12 = 0, q + 5 = -2*b + d for b.
-4
Let h(x) = x**3 - 8*x**2 + 9*x - 4. Let j be h(7). Suppose 53*q = 57*q - 24. Solve 4*f + g - q - 7 = 0, 3*f + g = j for f.
3
Let g(u) = u**3 + 4*u**2 + 8*u + 15. Let i be g(-3). Solve w + 5 = 4*y, 2*w + 3*w + 25 = i for y.
0
Let s(d) = -3*d - 10. Let k be s(-6). Suppose -2*z + 36 = -5*z. Let m be 3/z*2*-4. Solve 4*b - r - m*r = k, 5*b + r - 29 = 0 for b.
5
Let f(a) = a + 16. Let y be f(-15). Let n be 3 + (7*6)/y. Suppose -2*t = -4*g + 11 + 25, 0 = 5*g + 4*t - n. Solve c = -3*b + 11, 4*b + 2*c = 5 + g for b.
4
Suppose -43 - 57 = -20*v. Solve 5*n - 4*p + 7 = -v, -p = 4*n - 3 for n.
0
Suppose 0 = -2*g + t + 27, -5*g + 3*t - 2*t = -75. Let z = 20 - g. Solve -2*v = z*i + 2, -4*i - 2 = 10 for v.
5
Let b = 0 - -2. Suppose p - 9 = -3*m + 7, 4*p - 24 = -2*m. Suppose c = -h + b, -m*c + 0*h - 2 = -h. Solve -2*l - 4*q - 26 = c, 0 = -4*l - 4*q + 2 - 34 for l.
-3
Let c(g) = 6*g + 4. Let j(p) = p - 1. Let b(f) = -c(f) + 5*j(f). Suppose 0*w = 4*w + 56. Let x be b(w). Solve n = -3*k + 4 - 5, x*n - 15 = 5*k for n.
2
Suppose -32 = -4*g - 4*f, 2*g - f - 12 = g. Let a(j) = -2*j**2 + 151*j + 80. Let y be a(76). Solve -2*p + 2*b + 3*b = y, 0 = -5*p + b - g for p.
-2
Let x(w) = 4*w**2 - w - 9. Let v be x(3). Solve s - 4*y = v, 2*y + 14 = -3*s + 4*s for s.
4
Suppose -n = 4*k + n + 144, -206 = 5*k - 4*n. Let y = k + 38. Solve -15 = -5*i - 5*v, y*i + v = i + 3 for i.
0
Let t be -2 - (-91)/39*3. Solve -3*c + 18 = -5*l + 2*l, t*c = -2*l + 16 for l.
-2
Let y(n) = n. Let k be y(4). Suppose 14 + 70 = k*q. Solve x = s, -x - 5*s - 3 + q = 0 for x.
3
Suppose -9 = -4*o + 7. Let a = -7 + o. Let k be 4 - (-3)/(a/(-2)). Solve 2*p + 3*q - 3 = 0, -4*q + k = -p + 3*p for p.
-3
Let d be ((-12)/9)/(10/(-15)) - -1. Suppose -5*q - 32 - 5 = -3*l, -3*q - d = 3*l. Solve -5*o + l*v + 1 = 0, 3*o + 0*v - 4 = -v for o.
1
Suppose -7*g + 2*g - 5 = -5*n, -2*n = -8. Solve 3*y = -9, 6*y - 4*y + 18 = g*u for u.
4
Suppose -4*z + 12*z = 24. Solve -z*i + 9 = 3*m, 0 = 2*m + i - 6 for m.
3
Let g(c) = 8*c**2 - 58*c + 22. Let s be g(7). Solve -s = 2*l, -6 = x + 4*l + 8 for x.
2
Suppose 0 = -f - 5*n - 1, -4*f = 4*n + n + 64. Let v = f - -23. Suppose 1 + 73 = v*c. Solve 0 = -4*u + y + 11, -5*u - 5*y + c = -2*u for u.
4
Suppose -11*g = -2*d - 8*g + 9, 2*g + 6 = 3*d. Solve 4*u - 3*b - 2*b = 5, 2*u - 4*b - 10 = d for u.
-5
Suppose 2*r = 2*w + 4, 32 = 3*r - r + 5*w. Suppose -75 = u - r*u. Solve 0 = -3*l - 5*d - u, -1 = 2*l - 2*d - 7 for l.
0
Let j(m) = m**2 + 3*m - 7. Let f be j(-5). Let w = -176 - -176. Solve w = -2*p + 4*a - 6, 0*a - a = -2*p - f for p.
-1
Suppose -4*k = v - k + 12, -5*v + 20 = -5*k. Solve -5*s + 15 = -2*q - v, -25 = -4*s - q for s.
5
Suppose -2 + 1 = 5*j - 2*l, 14 = -j + 5*l. Let s be (8/20)/(j/(-130)). Let f be (-2)/4 + s/(-8). Solve 0 = -z, -f*a + 4*a = -z for a.
0
Let w be ((-24)/(-40) - (-3)/(-5)) + 4. Suppose z = 2*q - 7, -4*q + q = 5*z - w. Solve l + 2*n = -l - 10, 3*n = q*l - 3 for l.
-2
Suppose 0 = -9*c + 45. Suppose c*a + q - 16 = 0, -q + 9 = 2*a + 2*q. Let l be 2 + 1 - (-4)/2. Solve -2*m - 3*m + l = -d, 15 = -a*d + 5*m for d.
-5
Let y be (-1)/3*(-2 - 4). Solve -5*f + 27 = 3*h, y*h - 2*f + 0 = 2 for h.
4
Let x(b) = -b**3 + 7*b**2 + 9*b - 7. Let i be x(8). Let u = 11 - i. Suppose u = 4*t + t. Solve -5*r = 2*o - t, -4*r = -0*r - 5*o + 5 for r.
0
Let j be 6 - -57*6/18. Solve -j = 5*q, -4*q + 6*q = 4*c - 30 for c.
5
Let y(w) = -6*w**2 - 6 - w**3 - w - 2*w**2 + 0*w**3. Let n = 5 - 13. Let t be y(n). Solve 0 = -8*k + 3*k + t*b + 4, -4*k - 8 = 4*b for k.
0
Let o(u) = -36*u**2 - u + 1. Let v be o(1). Let q = 47 + v. Solve -3*s = 2*f + q, s + 3*s + 8 = -f for s.
-1
Suppose 34 = -5*z + 39. Let x = 117 + -112. Suppose -2*r = -0*r + 3*b - 4, -2*r + 3*b = -16. Solve h = z, 2*u + 6 = r*h + x for u.
2
Let g = -1205 + 1208. Solve g*y = -h + 7, -4*h + 5 = h for y.
2
Let h = 3002 - 2987. Let o(x) = x**2 + 7*x + 5. Let d be o(-6). Let j = d + 3. Solve -5*k - h = -2*c, -j*k + c + c = 0 for k.
-5
Let m(z) = -z**3 - 10*z**2 + 4*z - 12. Let u be m(-10). Let f be (-3 - (-15)/6)*u. Solve f = -5*b + 4*a + 6, 5*a + 12 = -3*b for b.
-4
Let g = -1 + 22. Let v = g - 12. Let q = 14 - v. Solve 0 = -q*d - 2*p + 20, d + 4*p - 22 = -0*d for d.
2
Let d(m) = -m**3 + 2*m**2 + 10*m - 8. Let o be (-16)/10*10/(-4). Let y be d(o). Solve y = -5*j - q + 5, 2*j - 4*q - q - 2 = 0 for j.
1
Let w be (-1566)/(-270) - (-8)/(-10). Solve 2*l + 3 = -3*d + 10, -w*d - 2*l = -5 for d.
-1
Let p(l) = -9*l + 305. Let q be p(32). Solve 0 = -2*i - 13*u + 16*u - 14, i - 4*u = -q for i.
-1
Let b(h) = 6*h**3 - 3*h**2 + h + 1. Let r be b(1). Suppose -r = -6*w + 13. Let u be 26/6 + (-1)/3. Solve -f = -4*o + 1, -w*f = u*o - 0*f + 19 for o.
-1
Suppose 5*s + g - 50 = 0, 4*g + 0*g = 20. Suppose 0 = -d - s*n + 7*n + 1, -2*n + 13 = 5*d. Solve -d*k - 12 = 2*f + 7, -f - 20 = 5*k for k.
-3
Let r = -179 + 184. Solve -r*d = -3*t + 4, -2*t - 2*t = d + 10 for d.
-2
Let y(m) = -5*m + 16. Let f be y(7). Let b = 30 + f. Solve -5*t - 27 = u, -u + b = -4*t - 7 for t.
-5
Let a be -4 - (-7)/(21/12). Suppose a*m - 90 = -10*m. Solve m = -3*c + 2*y - 2, 8 = -4*c - 4*y for c.
-3
Suppose 3*w = -a + 22, 7*a - w - 174 = 2*a. Solve -3*m - 5*u + 0*u + 30 = 0, -3*u = 5*m - a for m.
5
Let w(h) = -h**3 - 8*h**2 + 11*h + 22. Let d be w(-9). Solve d*t + 0*t - 4*u = -20, t = -3*u - 1 for t.
-4
Let d = 170 + -166. Solve -3*s + d*h - 24 = 0, 0*s - s - 1 = h for | {
"pile_set_name": "DM Mathematics"
} |
5212?
False
Is 35810 a multiple of 13?
False
Is 8 a factor of 9100?
False
Is 28 a factor of 73?
False
Does 15 divide 16429?
False
Is 9 a factor of 356?
False
Is 3910 a multiple of 34?
True
Is 13408 a multiple of 25?
False
Is 4235 a multiple of 57?
False
Is 3329 a multiple of 14?
False
Does 2 divide 341?
False
Is 11 a factor of 88?
True
Does 14 divide 28308?
True
Is 38192 a multiple of 56?
True
Is 4774 a multiple of 31?
True
Is 64 a multiple of 8?
True
Is 32707 a multiple of 23?
False
Is 112 a factor of 766?
False
Does 73 divide 39849?
False
Is 910 a multiple of 70?
True
Is 8 a factor of 336?
True
Is 4940 a multiple of 123?
False
Is 243 a multiple of 27?
True
Is 2834 a multiple of 37?
False
Is 5977 a multiple of 21?
False
Does 43 divide 56631?
True
Is 144 a multiple of 36?
True
Is 22 a multiple of 22?
True
Is 1066 a multiple of 82?
True
Is 8024 a multiple of 9?
False
Is 11990 a multiple of 6?
False
Does 7 divide 546?
True
Does 7 divide 21?
True
Is 237 a multiple of 17?
False
Does 14 divide 3220?
True
Is 70 a multiple of 4?
False
Is 18 a factor of 2854?
False
Is 125 a factor of 46375?
True
Is 26 a factor of 8787?
False
Is 12 a factor of 4476?
True
Is 6688 a multiple of 19?
True
Is 55 a factor of 550?
True
Does 3 divide 433?
False
Is 4327 a multiple of 191?
False
Does 90 divide 2454?
False
Is 212 a multiple of 4?
True
Is 128 a factor of 4224?
True
Is 58 a factor of 1336?
False
Does 41 divide 89?
False
Is 2 a factor of 2629?
False
Is 10 a factor of 104?
False
Is 7 a factor of 665?
True
Does 27 divide 9855?
True
Is 5 a factor of 105?
True
Does 13 divide 6240?
True
Is 112088 a multiple of 13?
False
Does 9 divide 1143?
True
Is 14 a factor of 1190?
True
Is 78 a factor of 35647?
False
Does 227 divide 78453?
False
Is 8 a factor of 265?
False
Does 19 divide 399?
True
Is 48 a factor of 985?
False
Is 3686 a multiple of 38?
True
Does 33 divide 180?
False
Is 62 a factor of 5084?
True
Does 49 divide 27783?
True
Does 9 divide 8631?
True
Is 208 a multiple of 8?
True
Does 10 divide 19110?
True
Is 64201 a multiple of 229?
False
Is 11968 a multiple of 374?
True
Does 86 divide 29842?
True
Does 26 divide 11466?
True
Is 142 a factor of 21442?
True
Is 12080 a multiple of 20?
True
Does 2 divide 349?
False
Does 16 divide 288?
True
Is 15106 a multiple of 182?
True
Does 27 divide 791?
False
Does 34 divide 112686?
False
Is 655 a multiple of 4?
False
Is 19 a factor of 4807?
True
Is 21 a factor of 945?
True
Is 49 a factor of 3087?
True
Is 280 a multiple of 20?
True
Does 91 divide 1367?
False
Does 9 divide 2430?
True
Is 101 a factor of 8532?
False
Does 14 divide 13306?
False
Is 5 a factor of 980?
True
Is 83 a factor of 3019?
False
Is 49062 a multiple of 221?
True
Is 21 a factor of 18480?
True
Does 18 divide 8046?
True
Is 2115 a multiple of 5?
True
Does 61 divide 3065?
False
Does 29 divide 1807?
False
Does 7 divide 1145?
False
Is 111 a factor of 6438?
True
Is 10 a factor of 200?
True
Is 31 a factor of 55056?
True
Is 9702 a multiple of 22?
True
Is 8 a factor of 4011?
False
Does 15 divide 32391?
False
Does 17 divide 2516?
True
Is 8584 a multiple of 6?
False
Is 12199 a multiple of 11?
True
Is 16 a factor of 3082?
False
Is 19 a factor of 1700?
False
Does 3 divide 4236?
True
Is 12 a multiple of 6?
True
Is 13 a factor of 8138?
True
Does 5 divide 6290?
True
Is 4410 a multiple of 14?
True
Is 530 a multiple of 106?
True
Does 368 divide 21698?
False
Is 12 a factor of 936?
True
Does 55 divide 69?
False
Is 423 a multiple of 63?
False
Does 42 divide 42?
True
Is 22 a factor of 5052?
False
Is 10345 a multiple of 22?
False
Is 43 a factor of 828?
False
Does 11 divide 7634?
True
Does 19 divide 608?
True
Is 20732 a multiple of 93?
False
Does 71 divide 7887?
False
Is 112 a factor of 2362?
False
Does 5 divide 220?
True
Is 2688 a multiple of 42?
True
Does 215 divide 10041?
False
Is 735 a multiple of 7?
True
Is 17 a factor of 3111?
True
Is 5531 a multiple of 26?
False
Is 22 a factor of 198?
True
Is 10 a factor of 5833?
False
Does 32 divide 91?
False
Does 12 divide 48?
True
Is 25100 a multiple of 10?
True
Is 8352 a multiple of 86?
False
Does 2 divide 39?
False
Does 121 divide 1210?
True
Does 4 divide 165?
False
Does 91 divide 12740?
True
Does 20 divide 2394?
False
Does 24 divide 2318?
False
Is 3906 a multiple of 42?
True
Is 980 a multiple of 49?
True
Is 31 a factor of 1241?
False
Is 10 a factor of 289?
False
Is 67 even?
False
Does 5 divide 765?
True
Does 10 divide 2900?
True
Does 21 divide 126?
True
Is 20572 a multiple of 14?
False
Does 101 divide 18887?
True
Is 89040 a multiple of 106?
True
Is 87 a factor of 231?
False
Does 14 divide 5095?
False
Is 176 a multiple of 4?
True
Does 138 divide 9798?
True
Is 57075 a multiple of 57?
False
Does 11 divide 266?
False
Is 17 a factor of 100?
False
Does 7 divide 1225?
True
Does 11 divide 759?
True
Is 11573 a multiple of 14?
False
Is 33 a factor of 46414?
False
Is 9 a factor of 21604?
False
Is 5 a factor of 335?
True
Is 3 a factor of 103?
False
Is 1230 a multiple of 3?
True
Is 11 a factor of 4763?
True
Is 6615 a multiple of 189?
True
Does 16 divide 32?
True
Is 8 a multiple of 4?
True
Is 672 a multiple of 8?
True
Is 2745 a multiple of 61?
True
Is 1269 a multiple of 15?
False
Is 11 a factor of 38535?
False
Is 454 a multiple of 10?
False
Does 13 divide 8811?
False
Is 11640 a multiple of 40?
True
Is 3768 a multiple of 10?
False
Is 23188 a multiple of 68?
True
Does 6 divide 102?
True
Is 3470 a multiple of 11?
False
Is 18 a factor of 450?
True
Is 13105 a multiple of 131?
False
Is 9 a factor of 2118?
False
Is 122 even?
True
Is 39 a factor of 5109?
True
Does 12 divide 2289?
False
Is 2 a factor of 451?
False
Is 4680 a multiple of 52?
True
Does 35 divide 147560?
True
Does 32 divide 10806?
False
Does 8 divide 10322?
False
Is 11 a factor of 3883?
True
Is 26 a factor of 188?
False
Is 12 a factor of 48?
True
Does 7 divide 861?
True
Does 12 divide 7267?
False
Does 24 divide 792?
True
Does 19 divide 6615?
False
Is 30 a factor of 356?
False
Does 24 divide 398?
False
Is 41 a factor of 1232?
False
Is 3 a factor of 159?
True
Is 22 a factor of 309?
False
Does 43 divide 2322?
True
Does 71 divide 73?
False
Is 390 a multiple of 68?
False
Is 10530 a multiple of 138?
False
Is 3626 a multiple of 98?
True
Is 18312 a multiple of 28?
True
Is 8 a factor of 69749?
False
Is 68510 a multiple of 170?
True
Is 870 a multiple of 10?
True
Is 35174 a multiple of 85?
False
Is 35 a factor of 2025?
False
Is 14 a factor of 1372?
True
Does 32 divide 1561?
False
Is 40 a factor of 1833?
False
Is 720 a multiple of 80?
True
Is 379 a multiple of 2?
False
Is 5170 a multiple of 10?
True
Does 12 divide 11064?
True
Is 4144 a multiple of 28?
True
Is 3168 a multiple of 12?
True
Is 5 a factor of 18228?
False
Is 107 a factor of 4280?
True
Does 8 divide 50848?
True
Is 14 a factor of 2198?
True
Does 24 divide 678?
False
Is 3 a factor of 168?
True
Is 31 a factor of 815?
False
Does 22 divide 2618?
True
Does 5 divide 1620?
True
Is 3752 a multiple of 14?
True
Does 8 divide 130?
False
Is 20 a factor of 2442?
False
Does 35 divide 53367?
False
Is 553 a multiple of 16?
False
Does 17 divide 422?
False
Is 10 a factor of 1485?
False
Is 3150 a multiple of 25?
True
Does 11 divide 356?
False
Is 77 a factor of 4312?
True
Is 1360 a multiple of 16?
True
Is 14405 a multiple of 43?
True
Does 10 divide 16010?
True
Does 12 divide 76226?
False
Is 125 a factor of 5875?
True
Is 56 a factor of 1301?
False
Does 70 divide 60130?
True
Is 38 a factor of 4140?
False
Is 936 a multiple of 13?
True
Does 17 divide 17?
True
Is 9 a factor of 7706?
False
Is 20 a factor of 4046?
False
Is 11635 a multiple of 13?
True
Does 13 divide 39?
True
Is 18463 a multiple of 45?
False
Is 55 a factor of 7315?
True
Does 19 divide 10963?
True
Is 860 a multiple of 12?
False
Is 10 a factor of 9040?
True
Does 121 divide 57475?
True
Does 8 divide 24?
True
Is 4902 a multiple of 6?
True
Does 11 divide 2010?
False
Is 89 a factor of 4651?
False
Does 28 divide 98198?
False
Does 98 divide 2156?
True
Is 43 a factor of 301?
True
Does 36 divide 35371?
False
Does 12 divide 342?
False
Does 28 divide 308?
True
Is 4 a factor of 292?
True
Does 50 divide 141?
False
Is 7 a factor of 4358?
False
Is 21 a factor of 7926?
False
Is 24 a factor of 1406?
False
Is 422 even?
True
Is 1316 a multipl | {
"pile_set_name": "DM Mathematics"
} |
2*j + 3 for r.
7
Solve -2*o + 1589 = -b + 1596, b = 13*o + 18 for b.
5
Solve 0 = 2*a, -2*h + 4*a - 172 + 56 = 2*h for h.
-29
Solve 3*k = 7*y - 2*y - 20, -y + 4 = -k for k.
0
Solve -2*f = -5*y - 37, y + 6928*f = 6933*f - 12 for y.
-7
Solve -4*x = 5*j - 93, 0 = -4*x - 3882*j + 3884*j + 86 for x.
22
Solve -2*p - 46*n = -50*n - 36, -3*n - 7 = p for p.
8
Solve 2*i = 4*h + 18, 0 = 3*i + 315*h - 316*h - 12 for i.
3
Solve 29*n - 32*n - 6 = 0, 4*r - 14 = n for r.
3
Solve 4*m + 1057 = 2*n + 1091, 8*n = 2*m - 10 for m.
9
Solve -31*r = -30*r - 5, r = 3*p - 1 for p.
2
Solve 3*r + 25 = -5*b, 0 = 2*r - 4*b + 47 - 45 for r.
-5
Solve -2*i + 4*b + 32 = 0, 0 = b + 169 - 163 for i.
4
Solve -3*y - 33 = -3*s, -y - 5*s + 138 = 173 for y.
-15
Solve -3*o + 6*o - 12 = 0, 3*d + 4*o = 16 for d.
0
Solve 167*y - 162*y + q = -16, 11*q + 64 = y for y.
-2
Solve -5*q = 20, -468*a = -467*a + 2*q + 5 for a.
3
Solve -6*q + d = 5, 0 = 2*q + 2*d - 4*d for q.
-1
Solve -4*y - p - 64 = -18, -p = -3*y - 31 for y.
-11
Solve -341*q - 92 = -16*d - 340*q, 15*q = 3*d + 42 for d.
6
Solve 0 = -3*u + 9, -3*u + 12 = -14*z + 15*z for z.
3
Solve -4*f + 5 = 5*p, 695*f = p + 694*f + 8 for p.
-3
Solve -i - 5*m - 64 = 0, 3*i - 28*m + 36 = -30*m for i.
-4
Solve 3*v - 15 = -41*b + 44*b, -v - b = 9 for v.
-2
Solve t - 3*x + 7 = -3, -11*t - 3*x = -70 for t.
5
Solve 428*a - 3*h + 16 = 433*a, -a + 7*h + 26 = 0 for a.
5
Solve -13 = -5*f + 4*x - 14, -7 = -f - x for f.
3
Solve 120*q - 4*f + 13 = 123*q, 2*q = -f + 2 for q.
-1
Solve -5*s + 3*k + 40 = -5*s + 28, 2*s = -4*k - 18 for s.
-1
Solve -14*y = 2*o - 72, 3*o + 16 = 4*o + 2*y for o.
8
Solve 16 = -2*p + 6*v, -18*p - 8 = -23*p + 3*v for p.
4
Solve 7*p = 77, b + 32 = 2*p + 13 for b.
3
Solve 23*w + 17 = 27*w + 3*g, -5*g = -w + 33 for w.
8
Solve 3*n - 5*n + 21542 = 21542, -5*l + 20 = -2*n for l.
4
Solve -6670*p = -6668*p - 4, -3*v + 5*p = -56 for v.
22
Solve -5*r = -3*l, -4*l - 35 = 163*r - 158*r for l.
-5
Solve 21*z + 39 = 5*q + 23*z, 0 = q + 3*z - 26 for q.
5
Solve 6*v - v - 45 = 4*x, -3*x = -2*v + 32 for x.
-10
Solve 0 = -r - 9489*s + 9487*s - 14, 7*s = 5*r + 2 for r.
-6
Solve -3*b - 9 = -3*d, -4*b + 523*d - 26 = 526*d for b.
-5
Solve 2*h = -m + 9, 589*m - 591*m = -2 for h.
4
Solve -20 = -4*i - 3*x, -3*x = -4*i + 681 - 685 for i.
2
Solve 3*g + f + 3 = 0, -4*g + 19 = -3*f + 10 for g.
0
Solve 0 = -109*r + 2*i - 97, 0*r + 2*i + 13 = -3*r + 2*r for r.
-1
Solve -3*t + 138 = -8*u + 125, 2*t = 5*u + 8 for t.
-1
Solve -12*s = -10*l - 7*s - 70, l = -4*s + 11 for l.
-5
Solve -3*g + 8 = 2*c, 12 = 4*c - 242*g + 246*g for c.
1
Solve -4*l - 37 = 3*g, -18 = -2730*l + 2731*l - g for l.
-13
Solve -x = -5*c - 7, -11*c = -34*c + 18*c - x - 13 for c.
-2
Solve 963*a - 12 = 960*a, 0 = 13*w + 3*a - 2 - 10 for w.
0
Solve -49*j + 17 = -44*j - 2*p, -5*j - 5*p + 10 = 0 for j.
3
Solve w - 3 = -3*k + 4, 175*w - 174*w = 68*k - 64 for k.
1
Solve 72988*y = 72993*y + 25, t + 5*y + 20 = 0 for t.
5
Solve 828*q - 833*q = -5*o, -2*o = -q - 5 for q.
5
Solve 5*c = -4*i + 40, c + 22778*i - 22783*i + 21 = 0 for c.
4
Solve 2386*u + 28 = 4*k + 2389*u, 5*u = 3*k + 66 for k.
-2
Solve 18 = -2*d - 5*n, 0 = -5*n - 5 - 5 for d.
-4
Solve -4*i + j = 8, 12*i - 26 = 14*i + 5*j for i.
-3
Solve -2*a - 668*z + 670*z = -8, 2*a - 5*z = 23 for a.
-1
Solve 4*o - 180 = 3*b - 143, 5*b + 5*o = -85 for b.
-15
Solve 24 = -4*l, -w + 1173 = -2*l + 1157 for w.
4
Solve 5*b = v + 395 - 454, -4*b = -3*v + 45 for v.
-1
Solve 0 = -3*x + 5*a - 28, 7 = a + 2 for x.
-1
Solve -40*x + 4*u + 204 = 0, 19*x - 43*x + 22*x - 2*u + 8 = 0 for x.
5
Solve 144*s + 17*n + 49 = 139*s, 2*n = -3*s - 13 for s.
-3
Solve 3*w = 5*n + 1, -16 - 2 = -n - 2*w for n.
4
Solve -3*t = -565*l + 566*l + 10, 28 = -2*l + 2*t for l.
-13
Solve -12*c - 5*j = -7*c, -24 = -13*c - 5*j for c.
3
Solve 145 = -w + 5*a, -469*w = -473*w + 2*a - 58 for w.
0
Solve 5*v + 2*h = -10, -161*h = 3*v - 164*h + 27 for v.
-4
Solve -3*l - 116*a = -115*a + 1, 7 = 3*l + 5*a for l.
-1
Solve 4*p - 84*n = 2792, 65 = -2*p - 3*n - 24 for p.
5
Solve 0 = 2*j + 4*u + 1451 - 1429, 0 = 5*j - 2*u + 7 for j.
-3
Solve 5*w + 63*m - 31 = 64*m, -3*w - 5*m + 13 = 0 for w.
6
Solve 4*o = -2*s + 6, 0 = -3*o - 5 + 2 for s.
5
Solve -5*m = 5*t - 15, 55 = 3*t + 5*m + 32 for t.
-4
Solve -6 = 2*q, 815*l - 817*l = 4*q + 50 for l.
-19
Solve 5*c = 4*w + 14, 0 = 23215*c - 23211*c - 5*w - 4 for c.
6
Solve 20*r + 20 = 15*r + 2*i, 2*r - 5*i = -8 for r.
-4
Solve 2*h + 443*x = 441*x, 4*x = 5*h + 18 for h.
-2
Solve -30 = -4*h - 2*u, h - 51 = -2*u - 42 for h.
7
Solve -4*c = -2*i + 22, 251*i - 3*c - 24 = 248*i for i.
5
Solve 4*g - s - 2*s + 231 = 225, -4*s = -2*g + 2 for g.
-3
Solve 34*s = 36*s - 26*t - 58, s - 2*t = -4 for s.
-10
Solve -b + 3*i = 22, 3*b + 3*i = 31 - 1 for b.
2
Solve 5*f - 794*t + 789*t + 25 = 0, 3*t + 17 = -5*f for f.
-4
Solve 3*m + f = 0, -5*m - 20 = -48*f + 43*f for m.
-1
Solve 5*l + 36*g + 29 = 40*g, -4*l + 26 = 5*g for l.
-1
Solve -2*s + 1 = 6*j - 5*j, s - 2*j - 13 = 0 for s.
3
Solve -4*x = 16, -522*x = 5*u - 518*x - 34 for u.
10
Solve v = k + 1, 0 = 2*k - 3*v - 13 + 13 for k.
-3
Solve -8*c + 4*i - 12 = 0, 15*c + 12 = 13*c - 2*i for c.
-3
Solve -5*c - 5*j + 48 = -12, -c - 18 = -2*j for c.
2
Solve -3*r - 199*n + 195*n + 19 = 0, -4*n = -r + 1 for r.
5
Solve -r + 4*h = -13, 84*h = 5*r + 81*h - 31 for r.
5
Solve 1674*t + 40 = 3*x + 1679*t, t - 25 = -4*x for x.
5
Solve -5*p + 25 = -5*s, -s - 3*p - 21094 + 21085 = -5*p for s.
-1
Solve -77*a - 6*n - 22 = -81*a, 0 = -n - 5 for a.
-2
Solve -575*q = -2*m - 578*q + 20, m + 74 = 9*q for m.
-2
Solve 5*j + 2 = 8342*a - 8341*a, 4*j + 3*a = -13 for j.
-1
Solve -2*o - q + 18 = 0, -69*q = 4*o - 65*q - 44 for o.
7
Solve -2*i - 14 = -2*k, 258*k + 4 = 265*k + 2*i for k.
2
Solve 43*y + 10 = 38*y + 4*b, 15*b - 83 = -4*y for y.
2
Solve 4*k = -4*u - 8, -10 = 47*u - 44*u + 5*k for u.
0
Solve 21 = 5*p - v, 5*v + 35 = 58*p - 47*p for p.
5
Solve 12*y - 11*y - 4 = -3*t, 0 = -3*y + 4*t - 40 for y.
-8
Solve -4*r - 3*p + 21 = 0, -14*r + 3*p - 9 = -16*r for r.
6
Solve -d + 2*d = -2*v + 7, 11*d - 103 = 4*v for v.
-1
Solve 4*q = q + p + 72, q = 5*p + 38 for q.
23
Solve 3*o = 6, -5*w + 188 = 3*o + 187 for w.
-1
Solve y + 2*f - 13 = 0, 5*y + 4*f + 5 = 40 for y.
3
Solve -4*h - 110530 + 110536 = 2*t, -3*t - 61 = -8*h for t.
-7
Solve -37*s = 2*x + 72, s + 197*x + 3 = 198*x for s.
-2
Solve 4*h = 2*q, -2*q = -468*h + 465*h - 2 for h.
2
Solve -5*x = -215*k + 218*k - 10, 0 = -x + 2 for k.
0
Solve -214*w - 75 = 4*n - 219*w, 69*n + 3*w = 45 for n.
0
Solve 12184*m + 13 = -2*d + 12181*m, 2*d = 4*m - 6 for d.
-5
Solve -27*p + 30 = -4*y - 25*p, -4*p + 36 = 0 for y.
-3
Solve 2*j = 4*b + 16, -2070*b + 2 = -2*j - 2069*b for j.
-4
Solve -7*g + 34 = l, 8 = 2*l + 10 for g.
5
Solve 5*y - 105 = 0, 5*y - 581 + 470 = 2*c for c.
-3
Solve 3*x - 32*g - 41 = -30*g, x - 10 = -3*g for x.
13
Solve 589*f - 35 = 587*f - 5*t, -3*t = -3*f for f.
5
Solve -3*q + 12 = -2*k, -43*k + 45*k = -4*q + 16 for k.
0
Solve 3*s - 3*k = -6, 115*k - 4 = 2*s + 117*k for s.
-2
Solve 0 = -4*b + 3*f - 3 - 24, -6*b + f - 23 = 0 for b.
-3
Solve -4*p = -0*k + 4*k, -p + 16 = 5*k for k.
4
Solve 8*b + 4*j + 14 = -22, -7 = 3*b - 5*j for b.
-4
Solve -2*r - 7 = x, x = -6*r + 14 - 21 for x.
-7
Solve -5*s = -2*z + 26, 3*z + 12 = -s + 51 for z.
13
Solve -55 = 3*v - 2*n - 38, 3*v = -2*n - 13 for v.
-5
Solve -4*b = -v + 2, -2*b - 2*b = -5*v - 38 for b.
-3
Solve -4*t + u + 25 = 0, -26*t - 3*u + 23 = -24*t for t.
7
Solve 3*k - 5*z - 21 = -4, k = 3*z + 3 for k.
9
Solve 4*u + 19*y - 16*y - 17 = 0, 0 = y - 3 for u.
2
Solve -v = p - 5, 10534*p = -4*v + 10531*p + 16 for v.
1
Solve -3*g = -5*t, 4*t + 22*g + 30*g = 54*g - 2 for t.
-3
Solve -8*c = -5*u + 11 + 4, 0 = -4*c + 3*u - 5 for c.
-5
Solve 44*x - 46*x = -5*r + 75, -4*r + 60 = -2*x for x.
0
Solve 30 = -0*p + 2*p, 2*f = 3796*p - 3800*p + 64 for f.
2
Solve -3*p = 5*x - 15, 17*x - 43 = 14*x + 5*p for x.
6
Solve -4*w = h - 69, -6759*w + 41 = 5*h - 6758*w for h.
5
Solve 0 = -5*z + 4*n - 37, z + 14 = -569*n + 572*n for z.
-5
Solve -14*u + 5 = -12*u + d, -4*u - d + 7 = 0 for u.
1
Solve 0 = -152*z + 157*z - 5*t, 3*t = z - 8 for z.
-4
Solve -2*u + 18 = -2*t, 6607*u + 17 = 6608*u - 3*t for u.
5
Solve m + 10 = -3*n, 5 = 3*n - 3*m + 11 for n.
-3
Solve -4*f + 3*r = 26, -2*f + 56*r = 55*r + 12 for f.
-5
Solve h + 24*f - | {
"pile_set_name": "DM Mathematics"
} |
-3*j = -22*j - 48450000. Round j to the nearest 100000.
-2600000
Suppose 9900000 = 4*i - i. Round i to the nearest 1000000.
3000000
Let u = -0.1221584 - -0.2061761. Let x = u + -0.084. Round x to 6 dps.
0.000018
Let r = -0.103 + 0.15. Let w = -0.04762 + r. What is w rounded to four dps?
-0.0006
Suppose 2*q + 491118 = 4*h + h, 5*q = -4*h + 392868. Suppose 0 = 2*b - 5*b + 414666. Let m = b - h. What is m rounded to the nearest one hundred thousand?
0
Let c = 1157.1265 - 1158. Let r = -0.1405 - c. Let o = r + -0.8. What is o rounded to two decimal places?
-0.07
Let s = -21 + 25. Suppose 7*t - 4*t - 5*u - 327010 = 0, -8 = s*u. What is t rounded to the nearest ten thousand?
110000
Let a = 2.2 - -1.1. Round a to 1 decimal place.
3.3
Suppose w = 3*w. Suppose 0 = o - w*o + 271000. What is o rounded to the nearest 10000?
-270000
Let y = -40810.3810019 - -40806.881. Let p = 3.42 - -0.08. Let w = y + p. Round w to 6 decimal places.
-0.000002
Let z = -4.99757 + 5. Round z to 4 dps.
0.0024
Let q = 0.064 + -27.064. Let j = -27.44 - q. Let o = j - -0.4400082. What is o rounded to six dps?
0.000008
Let l = -134.1908 - -612804.1908. Let s = 612670.7999868 - l. Let j = s + -0.8. What is j rounded to 6 dps?
-0.000013
Suppose 3*h = 4*v + 7*h - 824, 196 = v - 4*h. What is v rounded to the nearest ten?
200
Let n(z) = -6821*z**3 - 3*z**2 - 3*z - 1. Let i be n(4). Let x = 257605 + i. What is x rounded to the nearest 10000?
-180000
Let o = -6864 - -14868. Suppose 0 = -3*i + i - 8, -2*j = i + o. What is j rounded to the nearest 1000?
-4000
Let s = 124.86 - 124.76937. Let p = s + -0.091. Round p to four decimal places.
-0.0004
Let s be (0 + -8)*(5 + -6). Suppose -s = -3*t - 44. Round t to 0 dps.
-12
Let j = -0.02 - -5.02. Let b = -5.00004 + j. What is b rounded to 5 dps?
-0.00004
Let u(b) = b + 4. Let f be u(-8). Let d be (-2)/f*(1 - 1). Suppose t + 620000 = -d*t. Round t to the nearest 100000.
-600000
Let k = -83 - -82.59. Let v = k + 1.59. Round v to 1 dp.
1.2
Let u = 8222.04003 - 8222. Let x = u - 0.04. What is x rounded to 5 dps?
0.00003
Let z = 558253.141 + -558486. Let b = z + 233. Round b to 2 dps.
0.14
Let q be (1 - 1)*(-1 - 0). Let m be (-1 - -1) + 207 + q. Suppose m = t - h + 672, 0 = -4*t + 3*h - 1855. Round t to the nearest one hundred.
-500
Suppose 2*x = 4*t + 171988, -2*t + 0*t = -4*x + 343994. Round x to the nearest 100000.
100000
Let b = 128254642.5718182 + 29.4281818. Let k = b - 128254665.4999949. Let q = 6.5 - k. What is q rounded to 6 dps?
-0.000005
Let o = 91.000375 - 91. What is o rounded to five decimal places?
0.00038
Suppose 2*z - 454002 = 98462. Let v = z - -83768. Round v to the nearest one hundred thousand.
400000
Let v = 52 - 52.0087. What is v rounded to 3 dps?
-0.009
Let k = 3 + -6. Let w be 390*(-10)/k*1600. Round w to the nearest one hundred thousand.
2100000
Let d(j) = 2 - 623*j + 3 - 6. Let t be d(3). What is t rounded to the nearest one hundred?
-1900
Let q(p) = p**2 + 5*p + 6. Let n be q(-4). Suppose 0*m + 12384 = s + 4*m, -5*s + 62008 = -n*m. Round s to the nearest one thousand.
12000
Let g(f) = f**2 + 3*f - 2. Let q be g(-4). Let l be 64996 + q - (-4 + 2). What is l rounded to the nearest ten thousand?
70000
Let y = -138 - -138.00000089. Round y to seven decimal places.
0.0000009
Suppose -6*p + 5057126 = -57342874. Round p to the nearest 1000000.
10000000
Suppose 4*c - 16 = 0, 5 = -5*v + 3*c - 12. Let s(d) = 434307*d**2 - 1 + 423117*d**2 + 552577*d**2. Let n be s(v). Round n to the nearest 100000.
1400000
Let i = 9 + -9.0000061. What is i rounded to six dps?
-0.000006
Let t = 792758 - 785606.82. Let c = t - 7056. Let x = c + -96. What is x rounded to 1 decimal place?
-0.8
Let p = 37 + -77. Let w = p + 147. Round w to the nearest ten.
110
Let w = 8.22616 + -337041.22616. Let g = -337035.799926 - w. Let s = -2.8 - g. Round s to 5 dps.
-0.00007
Let c = 11 + -11. Suppose c = -5*h + 3688935 + 67811065. Round h to the nearest one million.
14000000
Let r = 0.04 - -0.01. Let s = r - 0.050028. Round s to five decimal places.
-0.00003
Let l = -9.8 - 0.18. Let p = -0.6 - 9.4. Let f = l - p. Round f to two dps.
0.02
Let m = -0.139 - -0.1390372. Round m to 6 decimal places.
0.000037
Let t(y) = 37222*y**2 - 2*y - 4. Let c be t(-3). Suppose 3*j + c = -2*j. What is j rounded to the nearest ten thousand?
-70000
Let j be (-1)/2 - 4635/(-6). Round j to the nearest one hundred.
800
Let k = 66123 + -66214.961. Let d = 0.72 + 91.28. Let c = d + k. What is c rounded to 2 decimal places?
0.04
Suppose 5*a + 1 + 3 = q, -2*a = 2*q - 8. Let l be 3900 - (0 + 0 + 0). Suppose q*s - s + l = 0. What is s rounded to the nearest one thousand?
-1000
Let p = 0.9 + -1. Round p to 1 dp.
-0.1
Let g = -109604 + 207604. Round g to the nearest ten thousand.
100000
Let q be (6 + 0)*3/6. Let h be (0 - 5/(-2))*2. Suppose -3*b - 34506 = q*t, 2*b + h*t + 18688 + 4322 = 0. Round b to the nearest one thousand.
-12000
Let y = 11202 - 11201.93729. Let w = y + -0.063. Round w to four decimal places.
-0.0003
Let q = -46 - -45.64. What is q rounded to one dp?
-0.4
Let w = -67.9355 + -0.1645. Let h = w + 63. Let l = h - 1.2. What is l rounded to 0 decimal places?
-6
Let p = 148.183304 + -143.18330395. Let a = 5 - p. What is a rounded to 7 dps?
-0.0000001
Let t = 1084 - 1083.471. What is t rounded to 1 dp?
0.5
Let o = 7.09853 + -7.1. Round o to four dps.
-0.0015
Let l = 40 + -39.999824. Round l to 5 dps.
0.00018
Let n = 76.00000047 + -76. What is n rounded to 7 decimal places?
0.0000005
Suppose 23 = 5*g - k, -4*k - 7 - 9 = -g. Suppose -g*w + 506 = -634. Suppose 2*q - w = -q. What is q rounded to the nearest ten?
100
Let x = 691 + -483. What is x rounded to the nearest 10?
210
Let m(l) = 2*l**2 + 2*l - 2. Let s be m(2). Suppose 3*j = 67 - s. Let v = 14 + j. Round v to the nearest 10.
30
Let d be 4 - (11160013 + -1)/3. Round d to the nearest one hundred thousand.
-3700000
Suppose 4*n + 0*n = 4, 5*a + n - 24121 = 0. Suppose -p = 2*x + 3781 + a, 4*x - 3*p + 17185 = 0. Round x to the nearest 1000.
-4000
Let d = -6733 - -6772.19. Let p = d + -40. What is p rounded to 1 decimal place?
-0.8
Let x = -1592048 - -612048. What is x rounded to the nearest one hundred thousand?
-1000000
Suppose 2*y = -4*q - 2*y, -12 = -q + 5*y. Suppose m = -q*m + 480000. Round m to the nearest 100000.
200000
Let h = -0.19995 + 0.2. What is h rounded to five dps?
0.00005
Let x be 750*(-2 - 188/10). Round x to the nearest 1000.
-16000
Let k be 1/(2/(-10))*4. Let n be 8/(-10) + 4/k. Let i be n + (0 - 2 - -230003). What is i rounded to the nearest 100000?
200000
Let x(t) = t - 2. Let o be x(4). Let w = o - -6. Let m be 6/8 + 2/w. Round m to one decimal place.
1
Let b = 16 + -5. Let s = -3.2 + b. Round s to zero dps.
8
Suppose 0 = -4*g + 78634 + 23226. Suppose -4*w - g = 2135. What is w rounded to the nearest 1000?
-7000
Let s = 3.99848 - 4. Round s to 4 dps.
-0.0015
Let r = 67.1 + -66. What is r rounded to the nearest integer?
1
Let p = -0.05 + -0.02. Let v = p - -0.03. Let s = 0.04002 + v. What is s rounded to five dps?
0.00002
Suppose -2*t = 5*i - 253, -3*t - 97 = -2*i - 8*t. Let r = -30 + i. Suppose -z + 150 - r = 0. What is z rounded to the nearest ten?
130
Let w = 677.593 - 678. What is w rounded to one decimal place?
-0.4
Suppose 3 = -4*y - 3*b, -5*y - 1 = 5*b - 4*b. Suppose -3*k + 8*k - 721895 = y. Let f = -88379 + k. Round f to the nearest 10000.
60000
Suppose 2*k = -b - 452, 5*k - 3*k + 4*b + 440 = 0. Round k to the nearest 10.
-230
Let u = 30.1826613 - 0.182663. Let p = 30 - u. Round p to 6 decimal places.
0.000002
Let s = -3.03 - 175.97. Let g = -179.73 - s. Round g to 1 dp.
-0.7
Let t be 0/(-1) - (-7)/(-1). Let y(c) = 5*c**2 - 5*c + 10. Let p be y(t). What is p rounded to the nearest 100?
300
Let y(j) = 1911*j + 22. Let w be y(-2). Round w to the nearest one thousand.
-4000
Let m = 2417 + -5641. Let t = 46776 - m. What is t rounded to the nearest 100000?
100000
Let i = -37.555 + -21498.445. Let p = i - -21534.59944. Let n = p - -1.4. Round n to four decimal places.
-0.0006
Let w = -775584 - 765551. Let l = 3111135 + w. Round l to the nearest one hundred thousand.
1600000
Let l = -17.09858 + 17.1. Round l to 4 dps.
0.0014
Let s = 0.02 - 0.01999768. Round s to 7 dps.
0.0000023
Let a = -2465212 + 2465206.99 | {
"pile_set_name": "DM Mathematics"
} |
2 - 1/60*s**5 + 0 + 0*s**4. Let j(k) = -43*k. Determine n(j(a)).
-1849*a**2
Let l(v) = v**2. Let k(y) be the first derivative of -5*y**2/2 - 9*y - 8. Calculate k(l(p)).
-5*p**2 - 9
Let d(a) be the second derivative of -35*a**3/6 - 6*a + 6. Let s(v) = -2*v. Determine d(s(w)).
70*w
Let o(l) = -164*l + 57*l + 57*l + 49*l. Let m(n) = -197*n**2. Determine o(m(q)).
197*q**2
Let g(v) be the first derivative of v**3/3 - 3. Let z(h) be the third derivative of -h**5/5 - 10*h**2 - 3. What is g(z(t))?
144*t**4
Let a(s) = 6*s. Let g(c) be the second derivative of -c**6/720 + 5*c**4/4 - 13*c. Let o(u) be the third derivative of g(u). What is a(o(l))?
-6*l
Let h(n) be the first derivative of 5*n**3 - 151. Let v(s) = -12*s. What is v(h(d))?
-180*d**2
Suppose 0 = -5*o - 39 + 159. Let c = 31 - o. Let i(q) = c - 6 - q - 1. Let x(y) = -y. Determine x(i(n)).
n
Let a(g) = 83*g + 11. Let h(u) = 18*u**2. Give h(a(i)).
124002*i**2 + 32868*i + 2178
Let u(o) = 5*o**2. Let s(j) = -25*j + 56 - 31 + 24*j. What is s(u(h))?
-5*h**2 + 25
Let z(y) = y. Let b(h) be the first derivative of 5*h**2 + 6 + 8 - 9*h**2. Calculate b(z(k)).
-8*k
Let d(m) = 948*m. Let c(l) = -l**2 + 30*l - 2. Let n(p) = 4*p**2 - 105*p + 7. Let b(f) = 21*c(f) + 6*n(f). Calculate b(d(g)).
2696112*g**2
Let z(s) = 3*s**2. Let h(c) = 2*c**2 - 5. Let t(x) be the third derivative of x**5/10 - 8*x**3/3 + 30*x**2. Let n(a) = -16*h(a) + 5*t(a). Calculate z(n(v)).
12*v**4
Let m(y) = -5*y. Let q(p) be the second derivative of -2*p**3 - p + 23. Give m(q(h)).
60*h
Let c(s) = 186*s - 1 - 188*s + 1. Let p(x) = -x - 300. What is c(p(i))?
2*i + 600
Let m(z) = -13*z. Let d(n) = 37*n**2 + 5*n + 5. Let r(l) = l + 1. Let j(f) = d(f) - 5*r(f). Give m(j(o)).
-481*o**2
Let i(t) = 11*t**2. Let w(h) = 551 - 551 + 18*h**2. What is w(i(b))?
2178*b**4
Let j(i) = -32*i + 32. Let y(w) = 2. Let u(s) = j(s) - 16*y(s). Let z(t) = -4*t**2. What is z(u(q))?
-4096*q**2
Let s(x) = -2*x. Let m(d) = 22679*d. What is s(m(l))?
-45358*l
Let t(p) = -47694732*p**2 - 2*p + 2*p + 47694740*p**2. Let w(j) = -2*j + j + 3*j. Give w(t(h)).
16*h**2
Suppose 4*q + 28 = 2*v, 2 = 3*v + 2*q + 2*q. Let n(x) = 7*x - x + 2*x - v*x. Let h(r) = -4*r. Calculate h(n(c)).
-8*c
Let l(q) = -q. Let w(r) be the third derivative of -79*r**5/30 + 11*r**2 - 6*r. What is l(w(s))?
158*s**2
Let r(k) be the first derivative of 0*k**2 + 0*k**3 - 5/4*k**4 + 5*k + 8. Let b(v) be the first derivative of r(v). Let l(h) = -2*h**2. Calculate l(b(g)).
-450*g**4
Let r(l) = l**2 + 804*l. Let t(h) = 7*h**2. Give r(t(x)).
49*x**4 + 5628*x**2
Let l(d) = -d**2. Let z(g) = 336034*g. Calculate z(l(b)).
-336034*b**2
Let w(l) = -15*l**2 - 4*l. Let p(b) = 1649*b**2 + 442*b. Let d(n) = 6*p(n) + 663*w(n). Let c(v) = -6*v**2. Give d(c(q)).
-1836*q**4
Let p(z) be the first derivative of 0*z - 9 + 1/2*z**2. Let j(m) = -24*m**2. What is j(p(n))?
-24*n**2
Let d(j) be the second derivative of j**4/6 - j. Let o(i) be the second derivative of 10*i**4/3 + 5*i + 59. What is o(d(y))?
160*y**4
Let y(q) = -2*q. Let x(l) be the second derivative of 5*l**3/6 - l**2/2 - 14*l + 2. Calculate y(x(g)).
-10*g + 2
Let r(v) = 133*v**2. Let p(u) = 12*u**2. Let s(n) = 56*p(n) - 5*r(n). Let l(b) = -2*b - b + 2*b + 2*b. What is l(s(j))?
7*j**2
Let h(r) = -r. Let t(j) = 2*j. Let n(c) = 3*h(c) + 2*t(c). Let m(g) = 0 + 7*g**2 + 0 - 3*g**2. Give n(m(w)).
4*w**2
Let f(n) = 4*n**2 + 31. Let m(d) = 7*d - 30. Let r(t) = -3*t + 12. Let j(y) = 2*m(y) + 5*r(y). What is f(j(c))?
4*c**2 + 31
Let q(i) = 403*i**2. Let y(o) = 10*o + 3*o - 65*o + 50*o. Calculate y(q(p)).
-806*p**2
Let q(f) = 2*f**2. Let j(x) = -195*x + 85. Let g(w) = 9*w - 40 + 5*w + 34. Let b(l) = 85*g(l) + 6*j(l). Calculate q(b(u)).
800*u**2
Let y(x) = -2*x. Let d be (2 + 4)*(-6)/(-12). Let k(u) = 0*u + d*u - u - 4*u. Determine y(k(r)).
4*r
Let u(z) be the third derivative of z**5/60 - 18*z**2. Let t = 71 - 38. Let a(o) = -33 + 5*o + t. Determine a(u(r)).
5*r**2
Let a(i) be the third derivative of i**6/45 + 13*i**4/24 + 14*i**2. Let o(p) be the second derivative of a(p). Let f(c) = -2*c**2. Determine f(o(g)).
-512*g**2
Let n(t) = -t**2 + 1. Let b(d) = 3*d**2 - 4. Let c = -28 - -29. Let x(k) = c*b(k) + 4*n(k). Let v(m) = 2*m**2. What is x(v(w))?
-4*w**4
Let x(p) = -12*p. Let r(s) = -38*s + 66*s - 30*s. Calculate r(x(d)).
24*d
Let w(j) be the third derivative of j**5/20 + 4*j**2. Let l be 6*1 + (-40)/10. Let t(s) = 9*s + s**l - 9*s - 3*s**2. Determine t(w(v)).
-18*v**4
Let u(h) = -21*h + 59. Let m(w) = -3*w. Calculate u(m(q)).
63*q + 59
Suppose 6 = 4*z - 14. Let i(v) = -9*v - 37 + 37. Let a(o) = 5*o. Let y(l) = z*a(l) + 3*i(l). Let d(c) = -2*c**2. Give d(y(n)).
-8*n**2
Let n(z) = 3*z**2 + z**2 - 2*z**2. Let c be (1 + 0)*(5 - 5). Let i(g) = -g**2 + 1 - 1 + c. Calculate n(i(h)).
2*h**4
Let w(h) = -8*h. Let k(x) = -1092*x**2 + 8. What is k(w(b))?
-69888*b**2 + 8
Let x(q) = -14*q**2 + 6*q**2 + 4*q**2 + 3*q**2. Let o(p) = -p - 101. Calculate o(x(b)).
b**2 - 101
Let w(c) = -c. Let h(n) = -3*n. Let t(j) = -6*h(j) + 17*w(j). Let x(q) = 6*q**2 + 2. Let z(r) = -r**2 + 1. Let a(k) = -x(k) + 2*z(k). Determine t(a(y)).
-8*y**2
Let a(f) = -4*f. Let z(q) = 233*q**2 - q + 52. Calculate z(a(r)).
3728*r**2 + 4*r + 52
Suppose 6 = -4*f + 14. Let x(i) = -i + 2*i + f*i - i. Let p(l) = 3*l**2. Give x(p(y)).
6*y**2
Let w(k) = 4*k - 2. Let i(t) = -9*t**2 + 21*t**2 - 14*t**2. Give i(w(a)).
-32*a**2 + 32*a - 8
Let h(w) = 2*w**2 - w - 1. Let b(q) = -q**2 + q + 1. Let m(g) = 2*b(g) + 2*h(g). Let v(x) = -156*x. Determine v(m(t)).
-312*t**2
Let i(b) = -2*b. Let o(q) be the first derivative of 0*q**2 + 0*q + 18 + 1/3*q**3. What is o(i(f))?
4*f**2
Suppose -5*l = -3*l + 4. Let w = l - -8. Let s(y) = -7*y - w*y + 9*y. Let b(d) = -d**2. Calculate s(b(f)).
4*f**2
Suppose 25 = -0*j + j. Let i(a) = -1 + j*a - 4*a + 1. Let n(m) = 2*m**2. Determine i(n(r)).
42*r**2
Let x(o) = -9*o - 22. Let s be x(-3). Let r(f) be the third derivative of 4*f**2 + 0*f**4 + 0*f**3 - 1/20*f**s + 0 + 0*f. Let y(w) = -2*w**2. Determine y(r(b)).
-18*b**4
Let r(j) = j + 4. Let k(f) = -14*f - 36. Let g(u) = -2*k(u) - 18*r(u). Let n(t) = 8*t. What is g(n(q))?
80*q
Let i(y) = y**2. Let v(h) = 1 + 3*h**2 + 0*h**2 - 5 + 11. Give v(i(w)).
3*w**4 + 7
Let o(y) be the third derivative of y**5/24 + 2*y**3/3 + 15*y**2. Let t(j) be the first derivative of o(j). Let h(x) = 4*x. Calculate t(h(a)).
20*a
Let x(a) = -485*a. Let r(f) = 2*f + 56. Give r(x(s)).
-970*s + 56
Let r(h) be the first derivative of -5*h**2/2 + 726. Let s(m) = 174*m**2. Calculate s(r(n)).
4350*n**2
Let n(h) = 5*h**2. Let g(y) = 4*y**2 - 3. Suppose 4*s = 4*a + 20, 2*s = -0*s + 4. Let x(j) = -12*j**2 + 8. Let r(m) = a*x(m) - 8*g(m). Give r(n(l)).
100*l**4
Let d(z) be the third derivative of -z**5/20 + 361*z**2. Let n(j) = -187*j. Calculate n(d(s)).
561*s**2
Let p(q) = q**2 - 18*q + 18*q. Let l(v) = -97*v**2 + 2382*v - 2382*v. Give l(p(g)).
-97*g**4
Let v(h) = -3*h**2. Let g(n) = 2*n - 8267. What is g(v(q))?
-6*q**2 - 8267
Let f(y) = -y. Let s(c) = -11*c + 2. Let n(v) = 11*v - 3. Let d = 35 + -32. Let j(x) = d*s(x) + 2*n(x). Calculate j(f(p)).
11*p
Let j(o) = -o. Let g(z) be the first derivative of -754*z**3/3 - 62. Calculate g(j(v)).
-754*v**2
Let p(i) = 2*i - 6. Let a be p(6). Let u(m) be the second derivative of a*m - 1/6*m**4 + 0 + 0*m**3 + 0*m**2. Let d(s) = -4*s. Calculate u(d(w)).
-32*w**2
Let i(z) = 48*z**2. Let a(c) = 20*c**2 + 14*c + 14. Let l(n) = 2*n**2 + 2*n + 2. Let r(k) = 2*a(k) - 14*l(k). Give i(r(v)).
6912*v**4
Let x(m) be the first derivative of 15*m**2/2 - m - 464. Let s(z) = -4*z**2. Determine s(x(v)).
-900*v**2 + 120*v - 4
Let f(r) = 2*r. Let w(q) = -5*q - 164. Let i(j) = -2*j - 83. Let n(z) = 9*i(z) - 4*w(z). Calculate f(n(h)).
4*h - 182
Let z(p) be the third derivative of -p**5/60 - 21*p**2. Let n(b) be the third derivative of 0 - b**2 + 0*b**4 + 0*b**3 - 1/30*b**5 + 0*b. Give n(z(g)).
-2*g**4
Let d(r) = r**2. Let l be ((-4)/(16/6))/((-3)/8). Let b(x) = x + 2*x - l*x. What is b(d(h))?
-h**2
Let s(b) = -2*b - 1182. Let p(a) = -580*a. Give s(p(k)).
1160*k - 1182
Let z(b) = 5*b**2. Let v(a) = 9*a + 7. Let y(p) = 4*p + 10. Let t(m) = -m + 1. Let q(c) = 4*t(c) - y(c). Let f(h) = -7*q(h) - 6*v(h). What is f(z(u))?
10*u**2
Let q(n) = 2*n**2. Suppose -18*z + 69 - 69 = | {
"pile_set_name": "DM Mathematics"
} |
= 454.0711 + -0.0711. Let v = -454.00253 + m. What is v rounded to 4 dps?
-0.0025
Let y = 621 + -327. Let t = 294.000091 - y. Round t to six decimal places.
0.000091
Suppose z - 203788007 = -4*y, 1195*z - 1196*z = -y + 50946993. Round y to the nearest 1000000.
51000000
Let y = 13938934131 + -13938934260.99999426. Let f = -130 - y. What is f rounded to seven dps?
-0.0000057
Let j = 0.86 + -0.9365. Let m = 0.075721 + j. What is m rounded to 4 decimal places?
-0.0008
Let d be -4 + 0/((1 - 2) + 0). Let h be -2 + 8/d*-705. Let l be (-3)/((-3)/2) + h/11. Round l to the nearest one hundred.
100
Let m(y) = 2709*y**2 - 53*y - 12. Let h be m(24). What is h rounded to the nearest one hundred thousand?
1600000
Let m = -2971 - 19004. Round m to the nearest 10000.
-20000
Let u(r) = 2*r + 42. Let h be u(-20). Suppose 5*c = -f + 4, f - h*c = -0*f + 4. Let z be 3*(-1278004)/(-18) - f/6. What is z rounded to the nearest 10000?
210000
Let r = 6082 + -6081.2574. Round r to two dps.
0.74
Let a(g) = 42*g**3 - 27*g**2 - 183*g + 10. Let l be a(20). What is l rounded to the nearest 1000?
322000
Let d = -193 - -433. Suppose d = 9*w - 2424. Suppose 3*a + 4*z + 148 = a, -4*a - z = w. What is a rounded to the nearest 10?
-70
Suppose -68132 - 60247 = -3*y - 3*o, -3*y + 128397 = -3*o. Suppose -13*x + 8*x + y = -2*n, -3*n - 42794 = -5*x. Round x to the nearest 1000.
9000
Let j(h) = 49640*h**2 + 1. Let r be j(1). Let g(b) = -44790*b + 271. Let q be g(-3). Let y = q - r. Round y to the nearest 10000.
90000
Let w(g) = 17490*g - 11. Let i be w(2). Let f = i - 17769. What is f rounded to the nearest one thousand?
17000
Let d = -0.09205 + 0.09211383. What is d rounded to 5 dps?
0.00006
Let b = -1411.9601 - -1766.96445. Let i = -355 + b. Round i to four decimal places.
0.0044
Let k = -214.9008587 - 0.1043413. Let i = k + 215. What is i rounded to three dps?
-0.005
Let o = -496.8845 + -0.0155. Let i = -496.87253 - o. Round i to 3 dps.
0.027
Let i = -1.026 - 2523.574. Round i to the nearest 100.
-2500
Let c = -33 + 38. Suppose -3*w = -c*w - p + 1099996, -2*p = 2*w - 1099992. What is w rounded to the nearest 1000000?
1000000
Let w = 0.18 + -1.96. Let x = w + 0.12. Let b = -3 - x. Round b to 1 dp.
-1.3
Let v = 24642.5833 + -24641. Round v to two dps.
1.58
Let k = 0.634 + -0.97. Let f = k + 0.335999707. Round f to 7 dps.
-0.0000003
Let u = -2451.29925 + -1.51075. Let s = u + 2405. Let k = -48 - s. Round k to one dp.
-0.2
Let r = -262 + 59. Let y = 202.999997 + r. What is y rounded to 4 dps?
0
Let b(l) = 11*l**3 - 6*l**2 - 10*l - 10. Let k(h) = -h**3 - 4*h**2 + 10*h. Let d be k(2). Let c be b(d). What is c rounded to the nearest 1000?
-1000
Let v = 98.4601591 - 0.0395591. Let m = -0.0206 + v. What is m rounded to the nearest ten?
100
Let s = 31.79 - 32. Let o = 0.191 + s. Let m = 0.01926 + o. Round m to 4 decimal places.
0.0003
Let n(z) = -123 + z**2 - 113 - z + 218. Let y be n(-4). Let u be (506/55)/(y/50). Round u to the nearest 10.
230
Let v(l) = 14966*l + 454. Let i be v(-14). What is i rounded to the nearest 1000?
-209000
Let k = -281.122 + -0.878. Let s = -281.999513 - k. What is s rounded to 5 dps?
0.00049
Let t = 340764 + -122274. What is t rounded to the nearest ten thousand?
220000
Let o = -0.328 + 0.111. Let n = 1.753 - o. Let z = n - 0.07. Round z to the nearest integer.
2
Let m = -147447147.60000005 - -147447136. Let a = 11.6 + m. What is a rounded to 6 dps?
0
Let n = 2342838 + -291338. Round n to the nearest one hundred thousand.
2100000
Let k = 17506.999963584 + -17507. Round k to 6 decimal places.
-0.000036
Let a = -91425870395.400000239 + 91425870449. Let f = -53.6 + a. Round f to 7 dps.
-0.0000002
Let n = 1719079842.0000282 - 1719079581. Let j = -125 + -136. Let a = n + j. What is a rounded to 6 decimal places?
0.000028
Let h = -12407.9987803 + 12408. Round h to three decimal places.
0.001
Let v = 64 + -54. Let w be v/30 - (-56)/3. Let a(h) = h**2 - 26*h - 19. Let j be a(w). Round j to the nearest 10.
-150
Let f(g) = -426408*g - 80. Let b be f(-4). Suppose -6*v - 874448 - b = 0. Round v to the nearest one hundred thousand.
-400000
Let w = -25.31 - -2.31. Let k = 3883644 - 3883620.999882. Let v = k + w. Round v to five decimal places.
0.00012
Let y = -0.1504304827 - 79.6495783873. Let p = -79.8 - y. What is p rounded to 6 dps?
0.000009
Suppose -19 = -5*r + 1. Suppose 0 = 4*p - h - 181595, 93405 - 275010 = -r*p - h. What is p rounded to the nearest ten thousand?
50000
Let r = -1.3 - -5.8. Let t = 240 + -244.528. Let l = r + t. Round l to two decimal places.
-0.03
Suppose -3*i - 3558004 = -t, 15*i - 4744020 = 19*i - 5*t. Round i to the nearest 100000.
-1200000
Let u = -244.506 - -241.9. Let c = u - -9.779. What is c rounded to zero decimal places?
7
Let w be (-50115)/(-2)*(((-1455688)/(-39))/(-4) - 2). What is w rounded to the nearest 1000000?
-234000000
Suppose 2*y = -3*y - j - 585, -5*y + 5*j = 615. Let i = y + 123. Suppose 4*x + 658 = 2*p, -2*p - i*x = -103 - 528. What is p rounded to the nearest ten?
320
Suppose -111*c - 1374834 = 10331115. What is c rounded to the nearest 10000?
-110000
Let k = 116.69499929689 - 116.695. Round k to seven dps.
-0.0000007
Suppose 85*y - 6758804 = 4*f + 83*y, -4*y + 3379408 = -2*f. Round f to the nearest 10000.
-1690000
Let s = -596003 - 124357. What is s rounded to the nearest one hundred thousand?
-700000
Suppose -h = 1 - 5. Let k be 37/7 + h/(-14). Let t(j) = j**3 - 4*j**2 - 5*j - 6. Let q be t(k). What is q rounded to the nearest 10?
-10
Let q = 3423 - 3422.8552. What is q rounded to two dps?
0.14
Let l = -0.963 + 6.239. Let c = l - 5.4. Let j = c + -0.046. Round j to one dp.
-0.2
Let i = -105168493 - -105155848.1587. Let m = i - -12644. Let f = -0.85 - m. Round f to two decimal places.
-0.01
Let r = 5138 - 5138.18175. Round r to two dps.
-0.18
Let b = -100 + 99.945. Let h = b + 23.055. Let g = 22.999999926 - h. What is g rounded to 7 decimal places?
-0.0000001
Let k = 7.928 - 8.127874. Let i = 0.2 + k. Round i to 5 dps.
0.00013
Let n(t) = -8*t + 28. Let l be n(3). Suppose -l*j + i - 64240247 = -2*i, 3*j = 4*i - 48180194. Let z = 35560058 + j. What is z rounded to the nearest 1000000?
20000000
Let z = -15340.438 + 15321. Let r = z - 184.292. Let u = r + 207. Round u to zero decimal places.
3
Let v = -26528.9999966995 - -26529. Round v to seven dps.
0.0000033
Let p be 0/12 - (-42)/(-1). Let i be (28/p)/(2/(-81)). Suppose 23*l = i*l + 84. Round l to the nearest ten.
-20
Let g = 111.8 - 117.63. Let m = g + 10.3. What is m rounded to the nearest integer?
4
Let b = -145 + 144.993. Let t = b - -0.00700536. Round t to six dps.
0.000005
Suppose 7*t = 3*t + 4*y + 101304, -2*t - 2*y = -50624. Round t to the nearest one thousand.
25000
Let z be -4 + 9 - 1/(-2)*0. Suppose z*f - 36096964 = -118596964. Round f to the nearest one million.
-17000000
Let m = -190.3699969469 - -190.37. Round m to 7 decimal places.
0.0000031
Let f = -8597055.841 + 8597075.140999505. Let s = -0.6539 - 18.6461. Let i = f + s. Round i to 7 dps.
-0.0000005
Let v = 0.4361392995 + 863.5637211005. Let l = 864 - v. Round l to five dps.
0.00014
Suppose -z = 2*n - 477102, -5*z + 266011 + 2119493 = 4*n. What is z rounded to the nearest one hundred thousand?
500000
Let j = 188 - 155. Suppose 36*p = j*p - 16200. Round p to the nearest 100.
-5400
Let n = 223 - 223.0004365. What is n rounded to 4 decimal places?
-0.0004
Let z = 41516 - 41498.007. What is z rounded to 1 decimal place?
18
Suppose -2*h = 5 + 1, 5*y - 32 = 4*h. Suppose 0 = 10*j + y*j + 333200. What is j rounded to the nearest one thousand?
-24000
Let n = -135.707 - 0.293. Let g = 532 + n. Let l = g + -395.999807. Round l to five decimal places.
0.00019
Suppose -8 = 3*q - 2. Let y be (-10)/(((-4)/(-22))/(q - -1)). Let n = -1025 + y. What is n rounded to the nearest one hundred?
-1000
Let v = -5176486.251 + 5176752.2509843. Let f = v + -266. Round f to 5 dps.
-0.00002
Let n = -0.057727 - -0.0549277. Round n to 4 dps.
-0.0028
Suppose 2*a - 7 = -4*p + 5, 4*p + 3*a = 10. Suppose -3*u = p*c - 572799994, -c - 20*u + 143200004 = -22*u. Round c to the nearest one million.
143000000
Let l(u) = -5*u**3 + 17*u**2 - 11*u - 270. Let x be l(30). What is x rounded to the nearest ten thousand?
-120000
Let a be (-1)/(-14)*4 + 356/28 | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from iiifwiffwi. What is prob of sequence fiwf?
1/84
Two letters picked without replacement from pkpmpqqqemqppku. Give prob of sequence qp.
2/21
What is prob of sequence cnsb when four letters picked without replacement from {n: 3, t: 1, s: 2, b: 6, c: 1, w: 2}?
1/910
Three letters picked without replacement from {g: 2, j: 2}. Give prob of sequence gjg.
1/6
Two letters picked without replacement from lldkkkkud. What is prob of sequence lu?
1/36
Four letters picked without replacement from vdavvavvvadvaaaavaa. Give prob of sequence daad.
1/646
What is prob of sequence clvf when four letters picked without replacement from clfcvvv?
1/140
Two letters picked without replacement from pnnnnnnnnnnn. What is prob of sequence np?
1/12
Three letters picked without replacement from ikiqaiooiqkqoooiaaa. What is prob of sequence qqq?
1/969
Calculate prob of sequence wwww when four letters picked without replacement from {u: 1, w: 14}.
11/15
Four letters picked without replacement from ymmblqbyllbqllyyqml. What is prob of sequence lqyy?
3/1292
What is prob of sequence on when two letters picked without replacement from {l: 1, o: 4, n: 1, v: 1, s: 4}?
2/55
Calculate prob of sequence ath when three letters picked without replacement from tthatnncnttnhnathtnn.
7/1140
Four letters picked without replacement from pioxccow. What is prob of sequence wxpo?
1/840
What is prob of sequence xkkk when four letters picked without replacement from kxxkkkk?
1/7
Three letters picked without replacement from zzzzzoozzo. Give prob of sequence ooo.
1/120
Two letters picked without replacement from gcgbiacaccgczgc. Give prob of sequence bg.
2/105
What is prob of sequence llpp when four letters picked without replacement from {l: 2, p: 9}?
1/55
Calculate prob of sequence wswy when four letters picked without replacement from ysccyscccsyscwywwc.
1/765
Calculate prob of sequence ry when two letters picked without replacement from {j: 2, y: 1, m: 3, s: 6, r: 3, v: 5}.
3/380
Calculate prob of sequence uay when three letters picked without replacement from uaaaaauaay.
7/360
Calculate prob of sequence bdrc when four letters picked without replacement from {d: 2, r: 1, b: 2, c: 11, v: 3}.
11/23256
What is prob of sequence yy when two letters picked without replacement from {y: 2, q: 1, l: 1, u: 2}?
1/15
Calculate prob of sequence qq when two letters picked without replacement from {q: 3, k: 2, z: 2, n: 13}.
3/190
Four letters picked without replacement from {s: 13, a: 1, r: 3}. Give prob of sequence rras.
13/9520
Three letters picked without replacement from kfssswwwffddswdf. What is prob of sequence ssk?
1/280
Four letters picked without replacement from {d: 1, y: 7, z: 5, b: 1, r: 1, l: 5}. Give prob of sequence rbdl.
1/23256
Four letters picked without replacement from ubuuuuubuuuuububuu. What is prob of sequence uubu?
91/765
Calculate prob of sequence nt when two letters picked without replacement from {t: 2, n: 16}.
16/153
What is prob of sequence hm when two letters picked without replacement from {b: 11, h: 3, m: 4}?
2/51
Four letters picked without replacement from {y: 5, s: 14}. What is prob of sequence ysyy?
35/3876
Two letters picked without replacement from uomo. What is prob of sequence uo?
1/6
What is prob of sequence io when two letters picked without replacement from {i: 3, k: 11, v: 1, o: 1, s: 2}?
1/102
Two letters picked without replacement from kpkf. What is prob of sequence pk?
1/6
What is prob of sequence uj when two letters picked without replacement from {v: 1, u: 1, q: 10, j: 2, x: 2, o: 3}?
1/171
Two letters picked without replacement from zazuaozxoaaaoon. What is prob of sequence oa?
2/21
What is prob of sequence wwgh when four letters picked without replacement from wwccwcwgwcccchww?
1/1040
What is prob of sequence jwhw when four letters picked without replacement from {h: 1, j: 1, k: 1, w: 9}?
1/165
Two letters picked without replacement from {e: 12, a: 1}. What is prob of sequence ea?
1/13
Four letters picked without replacement from {h: 2, y: 4, a: 4, e: 2}. Give prob of sequence ahhe.
2/1485
Two letters picked without replacement from {o: 1, s: 1, r: 2}. What is prob of sequence os?
1/12
What is prob of sequence bli when three letters picked without replacement from bilb?
1/12
Two letters picked without replacement from {c: 1, x: 3, n: 5, k: 2, g: 8, l: 1}. What is prob of sequence gx?
6/95
Three letters picked without replacement from ccwwcgcmmxxgwcg. Give prob of sequence cxc.
4/273
Calculate prob of sequence eel when three letters picked without replacement from eeeeeleeele.
8/55
What is prob of sequence tju when three letters picked without replacement from {j: 6, t: 5, u: 2}?
5/143
Three letters picked without replacement from {p: 2, r: 9, k: 3, q: 4}. Give prob of sequence pkk.
1/408
Calculate prob of sequence ii when two letters picked without replacement from {f: 9, i: 9}.
4/17
What is prob of sequence yttt when four letters picked without replacement from {t: 7, h: 3, w: 2, y: 7}?
245/15504
Four letters picked without replacement from ffgf. Give prob of sequence fgff.
1/4
What is prob of sequence dyle when four letters picked without replacement from yeeyllpepddyydlpplp?
1/646
What is prob of sequence ew when two letters picked without replacement from {z: 1, m: 2, e: 5, b: 5, w: 5}?
25/306
Two letters picked without replacement from evbevb. What is prob of sequence be?
2/15
What is prob of sequence kobk when four letters picked without replacement from {o: 1, k: 9, b: 1, f: 1}?
1/165
Two letters picked without replacement from {a: 1, j: 5, g: 5}. Give prob of sequence ja.
1/22
What is prob of sequence gvvv when four letters picked without replacement from {v: 7, h: 5, g: 8}?
14/969
Calculate prob of sequence ull when three letters picked without replacement from uuuluuuulu.
1/45
Three letters picked without replacement from {a: 5, f: 5, z: 4, b: 1, u: 1, r: 1}. Give prob of sequence zuz.
1/340
Two letters picked without replacement from {m: 6, z: 1, c: 3, r: 4}. What is prob of sequence cz?
3/182
What is prob of sequence eey when three letters picked without replacement from eyeeeeeeeeeeeyeeey?
35/272
Three letters picked without replacement from lciiacccr. What is prob of sequence ccc?
1/21
Three letters picked without replacement from {c: 3, y: 9}. What is prob of sequence ccy?
9/220
Calculate prob of sequence tgye when four letters picked without replacement from {t: 2, y: 1, e: 1, g: 1}.
1/60
What is prob of sequence jo when two letters picked without replacement from {o: 3, j: 2, b: 3}?
3/28
Four letters picked without replacement from nnccccc. What is prob of sequence ncnc?
1/21
What is prob of sequence eelm when four letters picked without replacement from lmieaeam?
1/420
Four letters picked without replacement from {m: 4, x: 3, g: 4, j: 3, i: 6}. What is prob of sequence igmi?
4/969
Two letters picked without replacement from ffnnff. What is prob of sequence nf?
4/15
Calculate prob of sequence mm when two letters picked without replacement from qqqqbqqbmqm.
1/55
Four letters picked without replacement from {n: 7}. What is prob of sequence nnnn?
1
Four letters picked without replacement from ctctttc. What is prob of sequence cctc?
1/35
Calculate prob of sequence uzuu when four letters picked without replacement from {u: 1, c: 1, w: 1, t: 5, x: 1, z: 3}.
0
Three letters picked without replacement from hbbnnnnnnnnnnn. Give prob of sequence bnh.
11/1092
Two letters picked without replacement from {d: 1, c: 3, m: 1}. Give prob of sequence mc.
3/20
Three letters picked without replacement from ozhdnofzddnon. Give prob of sequence nof.
3/572
What is prob of sequence ffzf when four letters picked without replacement from {f: 6, z: 13}?
65/3876
What is prob of sequence cec when three letters picked without replacement from {c: 11, e: 3}?
55/364
Three letters picked without replacement from ifgifngfgg. Give prob of sequence fgg.
1/20
Four letters picked without replacement from {i: 5, q: 2}. What is prob of sequence qqii?
1/21
What is prob of sequence iquq when four letters picked without replacement from ziiqqu?
1/90
Calculate prob of sequence xa when two letters picked without replacement from {x: 2, g: 4, a: 1}.
| {
"pile_set_name": "DM Mathematics"
} |
-10/7 (b) x (c) 56
a
Let n be (-30)/4*1276/(-290). Suppose -n*y = -28*y - 5, z + y - 3 = 0. Let c = -0.3 - -0.5. What is the closest to -1 in z, -1/5, c?
-1/5
Let l be (-8)/(-4)*(-16)/26*59. Let x = l + 51712/715. Let o = x - -1/11. What is the closest to 1/4 in o, -4, 0.1?
0.1
Let f be 4485/12650 - (-5)/110. What is the nearest to f in -2/35, 4/3, 5, -1/9?
-2/35
Let g(t) = t**3 + 3*t**2 - 5*t + 2. Let i be g(2). Let r be i/48 + (-3)/(-20). What is the closest to 0 in 3, 0, r?
0
Let n = -860.5 - -861. What is the nearest to -4/9 in 2/7, n, -2/3?
-2/3
Let p = -1 + -1. Let g = -3697 - -3696. Which is the nearest to g? (a) p (b) 1/10 (c) 5
a
Let r = 0.207 + 12.143. Let o = -0.65 - r. Which is the closest to o? (a) 3 (b) -0.3 (c) -1/3
c
Let v = 1163606/291 - 11996/3. Which is the closest to 1? (a) v (b) 37 (c) -1/3
a
Let b = 370.35 - 370. Let y = -0.15 - b. What is the nearest to -2.9 in -2/9, 2, y?
y
Suppose -4084 + 3904 = -45*q. What is the closest to 0.3 in -0.2, q, 0.5, -7?
0.5
Let k be (6/(-4) + -2)*-2 + -15. Which is the closest to 3? (a) -7 (b) k (c) 0
c
Let s = 0.191 + 4.809. What is the nearest to -75 in s, 4, 1/2?
1/2
Let r = 598 + -598.5. Suppose 1099 = -3*f + 1114. What is the closest to f in 2/7, r, -11?
2/7
Let k = -6.162 - -6.262. Which is the nearest to -2/11? (a) -1/132 (b) -3 (c) k
a
Let v = 37 + -36.963. Let y = 431.863 - 432. Let i = v + y. What is the nearest to i in 0.5, 0.4, -1?
0.4
Let j = -45.083 + 45.183. Let b = 3 + -2.8. Let t = 0.2 - b. What is the nearest to 0 in 6, t, j?
t
Let z = -1.2 - 2.8. Let u be (-8 - 320/(-45))*(-168)/2240. Which is the nearest to 2/5? (a) z (b) -0.4 (c) -2/19 (d) u
d
Let h be (-20)/16 - (0 + -2). Let v(n) = n**3 - 10*n**2 - 2*n - 14. Let g be v(9). Let i = g + 1245/11. Which is the closest to h? (a) -5 (b) 2/17 (c) i
c
Let x = 119 - 143. Let o = x - -23.9. Suppose -2*k + 1 - 3 = 0. Which is the nearest to o? (a) 4 (b) 3 (c) k
c
Let j = 1.7 - 1.7. Let q = 0.42841 - 0.12841. Which is the closest to j? (a) -4 (b) 5 (c) -1.8 (d) q
d
Let x = 0.95 + -6.95. Let u = x + 2. What is the closest to 1/5 in u, -3, 3/4?
3/4
Suppose -28 + 94 = -11*h. Let t be 118/h + (12 + -23 - -12). What is the closest to 1 in -3, -4, 2, t?
2
Let i = -3337.4 + 3324.4. Which is the nearest to -1? (a) 0.04 (b) -0.3 (c) i (d) 0
b
Let a = -18.364 + 13.364. What is the closest to 2 in 0.1, a, -0.0591, 2?
2
Let w = 17163/68620 + -2/17155. Which is the nearest to 0? (a) -1 (b) 2 (c) w (d) -9.58
c
Let u = -26 + 25. Let r = u + -4. Let y = 22.21 + -18.21. What is the closest to 2 in y, r, -2/7?
y
Let s = 81.2 - -19.8. Let h = s + -101.47. Let u = 0.57 + h. Which is the closest to u? (a) 0.3 (b) -3 (c) 1/10
c
Let h = 3984 - 621509/156. Let u = h + -89/468. What is the closest to 2 in 2/17, u, -1/7, -2?
2/17
Let t = -840 - -836. What is the nearest to 0 in t, -10/11, -1?
-10/11
Let u = -0.5 + 0. Let s = 1.5 + u. Let t = -89066.04 - -89066. Which is the nearest to s? (a) 2 (b) t (c) -5
a
Let u be (-2 - -1)/(7/(-161)). Let z = -111/5 + u. Let r = 4717.1 + -4717. Which is the nearest to r? (a) -3 (b) z (c) -5
b
Let l = -41595 + 41593.5. Let u = -33/2 - -16. Which is the closest to u? (a) l (b) -0.5 (c) -4
b
Let s = -208 + 204. Let u = -290 - -288. Which is the closest to u? (a) 0.2 (b) s (c) 1/3
b
Let u(k) = -k**3 - k**2 - 36. Let i be u(0). Let b be (-5)/20 + 15/i. Suppose 4*n = -3*w - 8 - 0, n + 2 = 4*w. What is the closest to n in b, -0.3, 4?
b
Let f be 2562/(-210) + (1 - -11). Which is the nearest to 0? (a) -1 (b) f (c) -2 (d) -4
b
Let k be (247/247)/((-2)/(-4)). Let g = -2261/8 - -283. Which is the nearest to -2? (a) g (b) 0.1 (c) -0.4 (d) k
c
Let q = 14 + -18. Let o be q/(8/18*-3). Suppose -5*h + 8 = 2*s, -o*h + 24 - 8 = 4*s. What is the closest to -0.1 in h, -0.3, 1/2?
h
Let k = 58.96 - 59.6. Let o = -0.64 - k. What is the closest to -1/2 in -2/5, o, 1?
-2/5
Suppose -3*z + 453 = 3*i, 0 = -2*i + z + 243 + 44. Suppose 9*n + 128 = i. Suppose -3*p + 8 = -28. What is the closest to -1 in p, n, -1?
-1
Suppose 0 = 30*l + 199 - 79. What is the closest to -0.2 in -1/117, 2, l?
-1/117
Let k = 16902/7 - 2415. What is the closest to 10 in k, -1/8, 7, -3?
7
Let u = -2291/4 + 16033/28. Which is the closest to u? (a) -2 (b) 2/17 (c) -1/3 (d) 3
c
Let w = -9125 + 9126. Which is the nearest to w? (a) 5/26 (b) -2/3 (c) -1/3
a
Let r be (-8)/2 - 92/(-24). Let y = 32.96 - 32.86. Which is the nearest to y? (a) -2 (b) 14 (c) r
c
Let d = 22234 - 22222. Let f be ((-12)/4)/(9/2). What is the nearest to f in d, 1, -5?
1
Let l = 2.5 - 3. Let w = -6186/53 - -55780/477. Which is the closest to 1? (a) w (b) l (c) 1 (d) -4
c
Let x = -5.8 - -5.77. Let n = 4510.3 + -4510. What is the closest to 1 in x, 2, n, -4?
n
Let b be -8 - ((-15)/20 - 77/44) - -9. What is the nearest to 0.6 in 2, b, 0.2?
0.2
Let u be (2 + 5)/(0 - -5). Which is the nearest to u? (a) -2/13 (b) -2 (c) -1 (d) 3/8
d
Let s = -6736/39 - -2254/13. What is the nearest to -3/11 in -4, -0.5, s?
-0.5
Let u = -0.21 + 0.11. Let t = 3320.7 + -3321. Which is the closest to u? (a) t (b) 43 (c) 0
c
Let i = -1.9 - 0.1. Let o = 413010/7 + -59001. Which is the closest to 0.05? (a) o (b) -1/6 (c) i (d) -0.3
b
Let m = 0.98 + 197.02. Let o = 197.5 - m. What is the nearest to 0.1 in 5, -59, o?
o
Let o = 8 + -7.7. Let g = 11.5 - 12. Let z = 1971 - 13799/7. Which is the closest to -2/3? (a) z (b) o (c) g
c
Let v be 1 + (658/56 - 11). What is the closest to v in 4, 5, 0.4?
0.4
Let r be (153/(-119))/((-20)/(-21)) - (-6)/8. What is the nearest to -11 in 1, 2/7, r?
r
Let y = 1.41 + 0.59. Suppose -27 + 7 = -5*o - 5*w, -20 = -o - 5*w. Suppose 6*g - 7*g = o. What is the closest to -6 in -1, g, y?
-1
Let v be 4/(-5)*1/2. Suppose 21048 - 21532 = -242*y. Which is the closest to 3? (a) y (b) v (c) -3
a
Let x = -177 - -1235/7. Let t = -183 - -190.9. Let v = t - 8. Which is the closest to x? (a) -2/15 (b) -1/5 (c) v
b
Let x = -13308 + 13297. Let q = -0.38 + -0.12. What is the nearest to 1 in x, -2, q?
q
Let t be 1*3*((-3)/(-2) - 168/108). Which is the closest to 0.1? (a) t (b) 2/3 (c) -0.96
a
Let m = 3.2704 - 0.2704. Which is the nearest to 367? (a) 3/5 (b) -5 (c) m
c
Let p = 281/5 - 56. Let g be (-2)/(-6)*(9 - 0). Let x be g + -1 - (-40)/(-18). What is the closest to x in 0, p, -4/5?
0
Let x = 10774 - 10776. Let f be (-2)/(-4) + (-30)/44. What is the nearest to -0.4 in -5, x, f?
f
Suppose 3*b + 4*z - 4 = 0, z - 3033 + 3039 = b. Let j = 10.3 + -0.3. What is the closest to 2/11 in 1/6, j, b?
1/6
Let g = -235/22 - -112/11. Let k = 5.9 + -9.8. Let c = k + -0.1. What is the closest to g in -1/3, c, -0.1?
-1/3
Let w be (2/(-15))/((-50)/45 - -1). Suppose -f = -3*b - 124, b - 556 = -3*f - 2*f. Let q = f - 558/5. What is the nearest to q in w, -4, 4?
w
Let r = -3.93 + -0.07. Let n = 3545 + -3546. Which is the closest to 7? (a) 0 (b) 2 (c) r (d) n
b
Let u = -1673.5 - -1674. Which is the closest to 3/16? (a) 1.1 (b) u (c) 1/6
c
Let p = -231 + 129. Let c = p + 103. Let g = 371/24 - 46/3. What is the nearest to c in 5, g, -5/6?
g
Suppose 0 = 13*d - 12*d. Suppose j - 19 = 5*f - d*f, 3*j + 11 = -2*f. Let g = -84 + 84.3. Which is the closest to -10? (a) 5/2 (b) g (c) j
c
Let f = -6.1 + 5.854. Let s = f + -0.154. What is the closest to -2/7 in 10, -0.3, s?
-0.3
Let l = 3294.5 - 3299.5. Which is the closest to 5? (a) l (b) -70 (c) -4
c
Let g(w) = w**2 + 11*w + 25. Let d be g(-8). Let u be (3/6*(3 - 3))/d. What is the closest to -2 in -21, u, -0.1?
-0.1
Let t be 12/(-1) - (-37)/3. Let i = -59.2 - -59. Which is the nearest to t? (a) 0.06 (b) i (c) 12
a
Let f = 431.289 - 431. Let u = f - 0.089. What is the nearest to 1/3 in -0.3, -25, u?
u
Let j be (-15)/35*(-182)/156. Let p be 1 - -5 - 3/3. Let y be (-10)/6*2/p. What is the closest to 3 in y, 1, j?
1
Let k = 2/43 - 133/86. Let d be 2/(-19) - (4164/513 + -8). Which is the nearest to -7? (a) d (b) -5 (c) k
b
Let q = 1994 + -1989. Which is the nearest to -0.5? (a) -2/5 (b) 2/7 (c) q (d) -1/2
d
Let t = -5.4 + 5. Let x = -0.152 + -125.848. Let c = x - -125.9. What is the nearest to c in -2, t, -4?
t
Let c = 30443/286 + -1173/11. What is the closest to c in 5, -0.1, 1/3, -3?
- | {
"pile_set_name": "DM Mathematics"
} |
m(r) composite?
True
Let k be -4*(2 + (2 - 5)). Suppose 0 = -k*g - x + 70 + 266, 4*g - 324 = -4*x. Is g prime?
False
Suppose r + r - 4*u = 16, -13 = -r - 3*u. Is r a prime number?
False
Suppose 0 = -3*f - 5*h + 188, -4*h = 15 + 5. Is f a composite number?
False
Let w(n) be the first derivative of 22*n**2 - 7*n + 4. Is w(4) prime?
False
Let h = 14 - 9. Let z(u) = -u**2 + 8*u + 7. Is z(h) a prime number?
False
Let n(q) = 97*q**2 - 4*q - 1. Is n(2) a prime number?
True
Suppose -9*u + 9654 = -10857. Is u a composite number?
True
Let o be (-1 - (-2 + 4)) + -115. Let a = o - -371. Is a a composite number?
True
Suppose -7*y = -8*y + 307. Is y a prime number?
True
Suppose -4*m + 336 = m - k, 200 = 3*m + k. Is m a composite number?
False
Let t(q) = 2*q**3 + 4*q**2 - q - 4. Let n be t(-3). Let p(a) = 5*a**2 + 2*a + 3. Let y be p(-3). Let r = n + y. Is r a prime number?
True
Suppose 3*k - 3074 = -3*h - 53, -5*h = 4*k - 5037. Is h a prime number?
True
Let z(m) be the third derivative of 0*m + 2*m**2 + 5/12*m**4 + 0 - 1/60*m**5 + 1/2*m**3. Is z(8) a prime number?
True
Let x = 471 - 124. Suppose 6*g - 2*g = -h + 82, 3*g = 4*h - x. Is h a composite number?
True
Is (-4)/(-14) + -2315*2/(-14) prime?
True
Suppose 1 + 20 = 3*l. Suppose 0 = 3*p - l*p + 212. Is p a composite number?
False
Let v be 62 - 5 - (-4)/2. Let h = v + -24. Is h prime?
False
Let w = 4 - 4. Suppose 3*q + 0*q - 18 = w. Is 99/(-6)*(-4)/q prime?
True
Suppose 0 = m - 2*m + 3. Suppose g = 2*g - m. Suppose 115 = g*v - 4*b, -3*b - 49 = -5*v + 139. Is v a prime number?
True
Let z be (-259)/35 + (-2)/(-5). Let l(d) = -d**3 - 4*d**2 + 2*d. Is l(z) prime?
False
Let y = 5 + -3. Suppose -r = 4*g + 2*r + 6, 0 = y*g + 5*r + 10. Suppose 2*q = a - g*a - 305, -5*a - 5*q + 1495 = 0. Is a prime?
False
Let z = -3 + 1. Let i = z + 5. Suppose 2*h = -i*h + 95. Is h a prime number?
True
Let l(f) = f**3 + 7*f**2 + f + 7. Suppose 4*k + 33 - 9 = 0. Is l(k) a composite number?
False
Suppose 2*d - 558 = 424. Is d composite?
False
Let u be 4/10 + 14/(-10). Is 42 + u + -6 + 4 a prime number?
False
Let h = 1107 + -640. Is h a prime number?
True
Let a(s) = 215*s - 7. Is a(4) prime?
True
Let q(z) = z**3 + z**2 + 8*z - 6. Let w be q(-7). Is (-9)/15 + w/(-10) composite?
True
Suppose 0 = -2*m + 3 + 7. Suppose -3*a - b + 99 = -502, m*a - 991 = b. Is a a prime number?
True
Let a(w) = -w - 2. Let m be a(-4). Let x = m - -1. Suppose 85 = x*l + 16. Is l a prime number?
True
Suppose 2*d = 4*d + 20. Let t = 77 - d. Is t a composite number?
True
Let i(f) = -15*f**3 - 8*f**2 - 10*f - 19. Is i(-5) composite?
True
Let g = 1 + -5. Let q(t) = t**3 + 8*t**2 + 7*t - 7. Let s(o) = 3*o**3 + 24*o**2 + 20*o - 21. Let j(r) = g*s(r) + 11*q(r). Is j(-8) prime?
True
Let x = 151 + -86. Suppose -5*k + 1 = -4. Is (-2 + k)/((-1)/x) composite?
True
Suppose z + 144 = 2*y, -5*y - 4*z = -10 - 337. Suppose -3*x + 4*x - y = 0. Is x composite?
False
Suppose -618 = -10*c + 7*c. Is c a prime number?
False
Let b(k) be the first derivative of -17*k**4 - 2*k**3/3 + k + 1. Is b(-1) a composite number?
False
Is ((-6861)/12)/(1 - 20/16) a prime number?
True
Let k(t) = -t**3 - 6*t**2 + 3. Let p be k(-6). Suppose 0 = x + p*x - i + 46, 21 = -x + 5*i. Is 138/(-6)*x/1 prime?
False
Let h = 0 + 2. Is (1/3)/(h/4518) composite?
True
Is -2 - 2*(-2043)/6 a prime number?
False
Is 1*213/(-6)*-2 prime?
True
Let j(v) = -v**2 + 3*v + 4. Let m be j(3). Suppose d + m = r, 3*d - 4*r + 16 = -0*d. Suppose d = 3*z - 3*y - 549, 3*y + 11 = -z + 210. Is z prime?
False
Let x be 4/(3/((-12)/8)). Is (3855/(-30))/(x/4) composite?
False
Let d be 1/(0 + (-3)/(-201)). Suppose a - d = -0*a. Is a a prime number?
True
Suppose r - 110 = 3*r. Let f = 96 + r. Suppose 4*p = 19 + f. Is p composite?
True
Let h(w) = -w**3 - 7*w**2 + 8*w + 2. Let f be h(-8). Let q be (-5 - -5)/(f + 0). Is 92 - (3 - q)/3 a prime number?
False
Let g(a) = 25*a - 61. Is g(16) a prime number?
False
Let n(b) be the third derivative of -b**4/24 + b**3/6 - b**2. Suppose -4*f = -5*h + 15, -f = -2*h - 0*h. Is n(f) prime?
True
Let a = -10 - -5. Suppose -4*j = -3*h - 2*j + 31, 4 = 4*j. Let t = a + h. Is t a prime number?
False
Suppose 3*w - 112 = 4*m + 8*w, 0 = -m + 4*w - 7. Let l = 44 - m. Is l composite?
False
Let b = -96 - -138. Suppose w = -b + 125. Is w prime?
True
Let q = 0 - 2. Let r be (72/10)/(q/10). Let t = r + 62. Is t prime?
False
Suppose -7*r + 3*r = -8, -65 = -3*n + 5*r. Suppose 0 = c + 3*g - n, 5*c + g + 2*g - 149 = 0. Is c a prime number?
True
Let d(m) = -m - 8 - m + 2. Let t be d(-4). Suppose 5*j = -t*f + 267, 3*f = j + 4*f - 54. Is j prime?
True
Let z(m) = -8*m + 3. Suppose -5*l - 4*i + 30 = 0, -l = -4*i - i - 6. Let n = 2 - l. Is z(n) prime?
False
Suppose 5*a - m = 3*m + 4895, 0 = -a + 3*m + 979. Is a a composite number?
True
Suppose -c = 4 + 3. Let k(x) = -x + 2. Is k(c) a prime number?
False
Suppose 8 = -y + 3*y. Suppose 0 = 5*n + y*j - 95, -3*n - 2*j = 2*n - 95. Is n a prime number?
True
Let s(b) be the first derivative of -3*b**2 + 7*b + 6. Is s(-12) composite?
False
Suppose a = -5*d + 33, 0 = -4*d - 5*a - 11 + 50. Is d a composite number?
True
Suppose y + 61 = -d + 4*y, 3*y + 6 = 0. Is (-1)/(1/d + 0) a composite number?
False
Let n be (16/24)/(1/3). Suppose -y + f + 60 = 0, n + 6 = -4*f. Is y a prime number?
False
Suppose r + 956 = 3*m - 0*r, -5*m - 5*r + 1600 = 0. Is m prime?
False
Let c = 135 + 272. Is c a composite number?
True
Let g(r) be the second derivative of 5*r**4/12 - 7*r**2/2 + 5*r. Is g(5) a composite number?
True
Suppose -5*h + 0*v - 4*v = -301, 5*h - 293 = -2*v. Is h prime?
False
Let f(v) = 3*v**2 - 7*v - 6. Let l(z) = z - 1. Let s be l(-4). Let c be f(s). Let a = -61 + c. Is a composite?
False
Is ((-399)/(-9))/((-6)/(-18)) composite?
True
Suppose 20 = 4*m - 0*m, 5*m - 980 = -5*d. Is d a composite number?
False
Let r(h) = h**3 + 5*h**2 - h + 7. Let c be r(-5). Is (-113)/(-3) - 8/c a composite number?
False
Let s(h) = 2*h + 1. Let x be s(4). Suppose -x + 3 = 2*n. Is n - 7/((-21)/318) a composite number?
False
Suppose -4*u + 11820 = -2*a, 4*u + 4*a - 2937 = 3*u. Is u a prime number?
True
Let s(i) = 2*i**2 + 1. Let v be (-3)/(-2)*8/6. Suppose 3*l + 6 = u, -v*l + 5*l = 4*u + 3. Is s(u) composite?
False
Suppose -519 = -2*x + 295. Is x a composite number?
True
Suppose 4*a + 4*v - 40 = 0, -2*a + 20 = 4*v - 3*v. Is a a composite number?
True
Let b(a) = -9 - 11*a - 8*a - 11*a - 4*a. Is b(-8) a composite number?
False
Let p(k) = 3*k**2 - 7*k + 9. Suppose -16 = l - 3*l. Is p(l) composite?
True
Let o(f) = 31*f - 14. Is o(7) a prime number?
False
Suppose 29 = 5*k - 4*n, n + 4 - 13 = -2*k. Suppose 20 = k*v, 0 = -5*j - 6*v + 2*v - 4. Let c = j + 8. Is c a prime number?
False
Let p(j) = j**3 + 4*j**2 + 4*j + 2. Let v be p(-2). Let k(b) = 16*b - 1. Is k(v) prime?
True
Suppose -5*q + q = -120. Let g be (-9)/(-15) - 54/15. Is q/(0 + -1 - g) composite?
True
Suppose 4*i = i + 9. Suppose 4*q - i*u = q + 153, 205 = 5*q + 5*u. Is q composite?
True
Suppose 1464 = 2*d + 4*g, -2*d + 2*g - 475 = -1945. Is d a prime number?
False
Let m = -3 - -6. Suppose i - m*t - 5 = -6*t, 0 = 4*t - 4. Suppose 171 + 224 = 3*n - 2*g, i*g + 133 = n. Is n prime?
True
Let b = -403 - -857. Is b prime?
False
Suppose -4*m + 790 = -206. Is m composite?
True
Let l(m) = m**3 + 12*m**2 + 5. Let x be 168/(-32) - (-6)/(-8). Is l(x) a prime number?
False
Let f(n) = 4*n + 10. Let b(g) = 3*g + 10. Let m(v) = 3*b(v) - 2*f(v). Let s be m(-11). Is (22 + 1)/s*-5 a composite number?
True
Let f be 3 - 3/(-3) - 2. Suppose 3*m + f*k = -0*m - 148, -2*m + 5*k = 105. Is (m/(-6) + -1)*3 prime?
False
Let z(y) = -y**2 - 14*y - 12. Let r = 2 - 1. Let b(s) = -9*s**3. Let k be b(r). Is z(k) prime?
False
Let t be (-8212)/(-10)*20/8. Suppose 12 = 5*q - t. Is q composite?
True
Suppose 5*o = 4*z - 646, 0*z - o - 162 = -z. Let k = z + -95. Is k a prime number?
False
Suppose 13*p - v = 9*p + 12315, 2*v - 3081 = -p. Is p a composite number?
False
Suppose -4*s + 1067 = -3*s. Is s a composite number?
True
Let s(z) = 6*z**2 + z - 1. Suppose -f + 3 = -0*f. Suppose 5 = 2*r + f*r. Is s(r) prime?
False
Let b(z) = -36*z**3 + 2*z**2 - 4*z + 5. Is b(-4) composite?
False
Let h be (-1)/(12/(-9))*4. Let d(f) = 0*f**3 - 7*f - 3*f**3 - 6*f**2 + f**3 - h + f**3. Is d(-7) prime?
False
Let l be -4 | {
"pile_set_name": "DM Mathematics"
} |
*c**4 - 13875*c**3 - 15168*c**2 + 28620*c = 0. What is c?
-2, 0, 1, 53, 90
Let -2*a**4 - 724*a**3 - 66456*a**2 - 2354508*a - 29066310 = 0. Calculate a.
-245, -39
What is y in -y**5 + 3304*y**4 + 6624*y**3 - 39654*y**2 - 59535*y + 89262 = 0?
-3, 1, 3, 3306
Solve -196*v**4 + 45948*v**3 + 213680*v**2 + 110832*v + 15296 = 0 for v.
-4, -2/7, 239
Factor -a**4 - 12*a**3 - 36*a**2 - 32*a.
-a*(a + 2)**2*(a + 8)
Determine j so that -3*j**2/2 - 106044*j + 212091/2 = 0.
-70697, 1
What is x in -3*x**3 + 54555*x**2 - 54546*x - 109104 = 0?
-1, 2, 18184
Find y, given that 2*y**4/5 + 1236*y**3/5 + 9722*y**2/5 - 4632*y + 2440 = 0.
-610, -10, 1
Let -10*k**5/11 + 178*k**4/11 + 486*k**3/11 - 850*k**2/11 - 1388*k/11 - 240/11 = 0. Calculate k.
-3, -1, -1/5, 2, 20
Factor 2*z**3/19 + 74*z**2/19 + 140*z/19.
2*z*(z + 2)*(z + 35)/19
Suppose -3*o**2 + 78*o - 432 = 0. What is o?
8, 18
Factor 2*t**2/3 + 36*t - 124544/3.
2*(t - 224)*(t + 278)/3
Factor 1726*p**2/5 - 17256*p/5 - 8.
2*(p - 10)*(863*p + 2)/5
What is m in -48*m**4/7 + 45116*m**3/7 - 41310*m**2/7 - 5636*m/7 + 1878/7 = 0?
-1/4, 1/6, 1, 939
Find b such that -b**2/2 + 94*b - 720 = 0.
8, 180
Solve -n**4/6 - n**3/3 + 338*n**2/3 + n/3 - 225/2 = 0.
-27, -1, 1, 25
Suppose 3*i**2 - 684*i + 2688 = 0. Calculate i.
4, 224
Factor 4*c**2 - 148896*c + 446652.
4*(c - 37221)*(c - 3)
Determine j so that 2*j**4/3 + 14*j**3/15 - 86*j**2/15 - 42*j/5 - 12/5 = 0.
-3, -1, -2/5, 3
Let 4*c**3 - 391314*c**2 - 978306*c - 391324 = 0. What is c?
-2, -1/2, 97831
Factor 3*l**3/2 + 5163*l**2/2.
3*l**2*(l + 1721)/2
Suppose -m**4/5 + 158*m**3/5 + 3108*m**2/5 + 10504*m/5 + 9856/5 = 0. What is m?
-14, -2, 176
Let f**3/5 + 806*f**2/5 - 807*f/5 = 0. Calculate f.
-807, 0, 1
What is b in 2*b**2 + 1092*b - 6624 = 0?
-552, 6
Factor 6*t**2 - 868353*t/2 - 217089/2.
3*(t - 72363)*(4*t + 1)/2
Let h**2/9 + 10006*h/9 + 199720/9 = 0. What is h?
-9986, -20
Suppose -2*c**5/7 - 1892*c**4/7 + 22956*c**3/7 - 34768*c**2/7 - 38278*c + 40236 = 0. Calculate c.
-958, -3, 1, 7
Find c such that -3*c**2 - 73062*c - 444837987 = 0.
-12177
Factor -58*x**3 + 71984*x**2 - 22302594*x - 20053332.
-2*(x - 621)**2*(29*x + 26)
Find a, given that -2*a**3 - 904*a**2 - 111370*a - 2033900 = 0.
-215, -22
Determine m, given that -4*m**5 - 16*m**4 + 16*m**3 + 136*m**2 + 180*m + 72 = 0.
-3, -2, -1, 3
Factor 2*o**3 - 294248*o**2 + 10823324160*o - 43288588800.
2*(o - 73560)**2*(o - 4)
Determine z so that 21*z**2 + 293*z + 82 = 0.
-41/3, -2/7
Suppose 3*d**2 - 1923174*d + 308216519523 = 0. Calculate d.
320529
Suppose -16*p**5 + 128*p**4 - 372*p**3 + 468*p**2 - 216*p = 0. What is p?
0, 3/2, 2, 3
Factor 4*d**2 + 205528*d + 2640109924.
4*(d + 25691)**2
Suppose -15*i**4/7 - 258*i**3/7 - 516*i**2/7 + 4002*i/7 + 117 = 0. What is i?
-13, -7, -1/5, 3
Solve -3*j**3 - 456*j**2 + 17196*j - 86112 = 0 for j.
-184, 6, 26
Factor 2*s**2/9 + 50*s + 2200/9.
2*(s + 5)*(s + 220)/9
Find w such that -3*w**3/5 - 798*w**2/5 - 2259*w = 0.
-251, -15, 0
Factor -x**3 - 298*x**2 + 301*x + 598.
-(x - 2)*(x + 1)*(x + 299)
Factor z**4/3 - 416*z**3/3 + 410*z**2 + 3712*z/3 + 2065/3.
(z - 413)*(z - 5)*(z + 1)**2/3
Factor 2*t**2/9 + 2746*t/9 + 1520.
2*(t + 5)*(t + 1368)/9
Solve -3*x**3 + 468*x**2 - 3573*x + 3108 = 0 for x.
1, 7, 148
Find d, given that 2*d**2/3 + 228232*d/3 + 6511230728/3 = 0.
-57058
Suppose -2045*h**3 - 77785*h**2 - 741095*h - 27075 = 0. Calculate h.
-19, -15/409
Factor -4*i**4/3 - 12992*i**3 - 94984504*i**2/3 - 63284032*i - 94906564/3.
-4*(i + 1)**2*(i + 4871)**2/3
Factor -25*l**2 - 55135*l - 121594729/4.
-(10*l + 11027)**2/4
Factor -3*w**3/2 + 4993683*w**2/2 - 1039037494440*w + 1039034997600.
-3*(w - 832280)**2*(w - 1)/2
Factor -5*y**4 - 780*y**3 + 785*y**2.
-5*y**2*(y - 1)*(y + 157)
Determine p so that p**5 + 97*p**4 + 1719*p**3 - 5749*p**2 + 5948*p - 2016 = 0.
-72, -28, 1
Factor -u**2/9 - 21367*u + 384610/9.
-(u - 2)*(u + 192305)/9
Suppose -28*x**4 - 496*x**3 + 1936*x**2 + 12928*x - 3840 = 0. Calculate x.
-20, -4, 2/7, 6
Determine w, given that -5*w**2/2 - 35850*w - 215055/2 = 0.
-14337, -3
Find y, given that -3*y**2 + 10263*y + 113256 = 0.
-11, 3432
Determine i, given that i**2/3 - 16558*i/3 + 68541841/3 = 0.
8279
Let u**2 + 461*u + 28950 = 0. What is u?
-386, -75
What is n in 2*n**2/7 - 702*n/7 - 121412/7 = 0?
-127, 478
Determine m, given that 3*m**2 - 18261*m - 54810 = 0.
-3, 6090
Solve 1323*h**5 - 8802*h**4 - 34959*h**3 + 227082*h**2 + 82476*h + 1080 = 0 for h.
-5, -1/3, -2/147, 6
Suppose -3*q**5 + 63*q**4 + 768*q**3 + 1260*q**2 = 0. What is q?
-7, -2, 0, 30
Let -2*k**3/3 - 148*k**2/3 + 374*k - 324 = 0. What is k?
-81, 1, 6
Suppose -o**4/2 + 3*o**3 + 4151*o**2/2 - 10398*o + 8320 = 0. What is o?
-64, 1, 4, 65
Factor -5*b**4 - 535165*b**3 - 14319811275*b**2 + 14320346445*b.
-5*b*(b - 1)*(b + 53517)**2
Solve 5*w**3 - 30030*w**2 - 6598155*w - 356063900 = 0 for w.
-107, 6220
Suppose -d**5/3 + 4*d**4 + 44*d**3 - 458*d**2/3 + 159*d - 54 = 0. What is d?
-9, 1, 18
Factor 500*g**3 - 102300*g**2 + 5526045*g - 29581470.
5*(g - 6)*(10*g - 993)**2
Solve -i**5/3 - 38*i**4/3 - 39*i**3 + 632*i**2/3 - 476*i/3 = 0.
-34, -7, 0, 1, 2
Factor 10*k**3 + 358*k**2 - 460*k - 592.
2*(k - 2)*(k + 37)*(5*k + 4)
Find s, given that -2*s**3/11 + 32030*s**2/11 - 96076*s/11 + 64048/11 = 0.
1, 2, 16012
Suppose 3*w**3 + 35202*w**2 - 70413*w + 35208 = 0. What is w?
-11736, 1
Find f such that 8*f**3 - 37364*f**2 + 2376952*f - 1179136 = 0.
1/2, 64, 4606
Factor 3*k**2/8 - 9*k/8 - 15/4.
3*(k - 5)*(k + 2)/8
Factor -2*p**3/3 - 10472*p**2/3 + 10478*p.
-2*p*(p - 3)*(p + 5239)/3
Determine m so that 2*m**2 - 98*m - 8460 = 0.
-45, 94
Suppose 4*x**3 + 1416*x**2 + 162288*x + 6069728 = 0. What is x?
-158, -98
Find k, given that 2*k**5 - 8*k**4 - 14*k**3 + 44*k**2 + 48*k = 0.
-2, -1, 0, 3, 4
Find k such that -5*k**2 + 80*k + 960 = 0.
-8, 24
Solve 2*k**2/5 - 938*k - 18920 = 0.
-20, 2365
Let -y**3/3 - 3284*y**2 + 6569*y - 9854/3 = 0. What is y?
-9854, 1
Let -2*i**3 - 78*i**2 - 982*i - 3978 = 0. What is i?
-17, -13, -9
Find k such that -2*k**4 - 74*k**3 - 226*k**2 + 1226*k - 924 = 0.
-33, -7, 1, 2
Suppose -2*y**2 - 588004*y - 43218588002 = 0. What is y?
-147001
Factor -r**3/2 + 7259*r**2/2 - 29015*r/2 - 36275/2.
-(r - 7255)*(r - 5)*(r + 1)/2
What is t in -32*t**5/17 - 5680*t**4/17 - 142738*t**3/17 - 450848*t**2/17 - 444936*t/17 - 138528/17 = 0?
-148, -26, -2, -3/4
Solve -2*x**5/11 + 186*x**4/11 + 1602*x**3/11 + 1558*x**2/11 - 1296*x - 29088/11 = 0 for x.
-4, -3, 3, 101
Find l such that 2*l**3/3 + 476*l**2/3 + 27824*l/3 + 17920 = 0.
-140, -96, -2
Factor -2*o**4 + 1770*o**3 + 10668*o**2 + 21368*o + 14256.
-2*(o - 891)*(o + 2)**3
Factor -3*z**3 - 1674*z**2 - 13221*z - 11550.
-3*(z + 1)*(z + 7)*(z + 550)
Solve -9*v**5/2 - 3*v**4/2 + 12293*v**3/2 + 187051*v**2/2 + 116508*v + 37926 = 0.
-21, -2/3, 43
Factor -h**3/3 + 241*h**2 - 47880*h + 1520532.
-(h - 342)**2*(h - 39)/3
Factor h**3/3 - 1112*h**2/3 - 2611*h.
h*(h - 1119)*(h + 7)/3
Suppose 3*o**3 - 13182*o**2 + 14506755*o - 57816300 = 0. What is o?
4, 2195
Factor -4*t**3 + 1700*t**2 + 36*t - 15300.
-4*(t - 425)*(t - 3)*(t + 3)
Factor m**4 - 391*m**3 - 393*m**2 + 391*m + 392.
(m - 392)*(m - 1)*(m + 1)**2
Factor m**4/4 + 31*m**3/4 + 55*m**2 - 63*m.
m*(m - 1)*(m + 14)*(m + 18)/4
Factor -5*y**2 + 113480*y + 454000.
-5*(y - 22700)*(y + 4)
Suppose -2*c**3 - 7724*c**2 - 69282*c + 277416 = 0. Calculate c.
-3853, -12, 3
Factor m**2/2 + 287229*m/2 + 143614.
(m + 1)*(m + 287228)/2
What is g in -5*g**5 - 45*g**4 + 715*g**3 + 345*g**2 - 4490*g - 4080 = 0?
-17, -2, -1, 3, 8
Factor 18*f**5 + 7716*f**4 + 821738*f**3 - 1105960*f**2 + 369800*f.
2*f*(f + 215)**2*(3*f - 2)**2
Factor 54675*r**4/7 - 143370*r**3/7 + 90747*r**2/7 + 4248*r/7 + 48/7.
3*(3*r - 4)**2*(45*r + 1)**2/7
Find n such that 4*n**4 - 4720*n**3 + 14124*n**2 = 0.
0, 3, 1177
Solve f**4 + 505*f**3 - 6686*f**2 + 24828*f - 18648 = 0.
-518, 1, 6
Let 2*t**4/11 + 130*t**3/11 + 1366*t**2/11 - 3130*t/11 + 1632/11 = 0. Calculate t.
-51, -16, 1
Factor 3*f**2 + 1005*f - 7182.
3*(f - 7)*(f + 342)
What is q in -2*q**2/19 + 6436*q/19 - 6434/19 = 0?
1, 3217
Factor -5*w**4 + 38*w**3 - 49*w**2 - 92*w.
-w*(w - 4)*(w + 1)*(5*w - 23)
Let -4*t**4 + 60*t**3 - 68*t**2 - 1692*t + 3240 = 0. What is t?
-5, 2, 9
Suppose b**5/3 - b**4/3 - 11*b**3/3 + 3*b**2 + 6*b = 0. What is b?
-3, -1, 0, 2, 3
Sol | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from {e: 2, x: 1, z: 1, t: 3, m: 4}?
1/55
Calculate prob of picking 1 s, 1 l, and 2 e when four letters picked without replacement from ulelieiiisief.
6/715
Four letters picked without replacement from {y: 6, c: 6}. Give prob of picking 4 c.
1/33
What is prob of picking 4 t when four letters picked without replacement from ttttt?
1
Two letters picked without replacement from {g: 2, j: 2, c: 1}. What is prob of picking 1 j and 1 g?
2/5
What is prob of picking 3 t and 1 i when four letters picked without replacement from {t: 4, i: 8, r: 2, w: 2}?
8/455
What is prob of picking 1 o, 1 p, and 2 x when four letters picked without replacement from {k: 3, l: 3, g: 1, o: 3, x: 2, p: 2}?
6/1001
Three letters picked without replacement from {t: 1, h: 2, a: 1, b: 4, s: 2}. What is prob of picking 1 h, 1 a, and 1 s?
1/30
Four letters picked without replacement from {r: 2, t: 2, m: 1, v: 3, a: 1, w: 3}. Give prob of picking 1 t and 3 v.
2/495
What is prob of picking 2 u when two letters picked without replacement from pvpuupp?
1/21
Calculate prob of picking 1 p, 1 h, and 1 c when three letters picked without replacement from jhpjmmcjijpmmi.
1/182
Calculate prob of picking 1 y and 3 p when four letters picked without replacement from wwaaaaawapppay.
1/1001
What is prob of picking 4 g when four letters picked without replacement from {g: 3, v: 4, e: 6, a: 1}?
0
Two letters picked without replacement from {i: 1, t: 4, q: 3, b: 5}. Give prob of picking 1 q and 1 t.
2/13
What is prob of picking 1 f, 1 w, and 1 p when three letters picked without replacement from {n: 1, f: 1, p: 2, w: 3}?
6/35
Calculate prob of picking 1 x and 2 d when three letters picked without replacement from wyxpkkkydxxdy.
3/286
Four letters picked without replacement from {b: 4, x: 2, u: 2, t: 4}. What is prob of picking 1 u and 3 b?
8/495
Calculate prob of picking 1 b, 1 h, and 1 k when three letters picked without replacement from bkkkh.
3/10
Three letters picked without replacement from tdjdeljeejtjjldj. Give prob of picking 1 t and 2 l.
1/280
Three letters picked without replacement from nnhhhhnnnnhhhn. What is prob of picking 1 n and 2 h?
21/52
Three letters picked without replacement from kfkfffffffkfff. Give prob of picking 3 k.
1/364
What is prob of picking 4 j when four letters picked without replacement from jjjjjjj?
1
What is prob of picking 2 w and 2 b when four letters picked without replacement from blwllalbllwl?
1/495
What is prob of picking 1 q and 1 u when two letters picked without replacement from sqgqyusyqyqquyq?
4/35
Calculate prob of picking 4 t when four letters picked without replacement from {t: 5}.
1
Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 7, f: 1, e: 5, q: 1, v: 2}.
7/60
What is prob of picking 1 a and 2 t when three letters picked without replacement from {b: 2, a: 10, t: 3, h: 4}?
10/323
Four letters picked without replacement from {u: 2, p: 7, j: 2}. What is prob of picking 2 j and 2 p?
7/110
Three letters picked without replacement from miiimmiirmmmm. Give prob of picking 3 m.
35/286
Two letters picked without replacement from {v: 2, u: 2, o: 4, y: 2}. What is prob of picking 1 y and 1 v?
4/45
Two letters picked without replacement from ccjcggccgcccccjccccc. What is prob of picking 2 g?
3/190
What is prob of picking 2 g when two letters picked without replacement from {g: 3}?
1
Calculate prob of picking 2 i when two letters picked without replacement from lilllillllll.
1/66
Three letters picked without replacement from vkrkdjvdkakdk. Give prob of picking 2 j and 1 r.
0
Calculate prob of picking 3 j when three letters picked without replacement from {j: 9}.
1
Two letters picked without replacement from {x: 1, c: 5, q: 2, a: 9, s: 1}. Give prob of picking 1 a and 1 x.
1/17
What is prob of picking 2 f and 2 u when four letters picked without replacement from {f: 2, o: 3, u: 3, r: 5}?
3/715
Four letters picked without replacement from vvyyvvvvyv. Give prob of picking 1 v and 3 y.
1/30
Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {z: 7, j: 12}.
84/323
Two letters picked without replacement from {c: 1, p: 2, y: 2}. What is prob of picking 1 y and 1 c?
1/5
Four letters picked without replacement from {u: 6, n: 2}. Give prob of picking 2 u and 2 n.
3/14
What is prob of picking 4 l when four letters picked without replacement from {d: 4, l: 4, e: 1, v: 1}?
1/210
Two letters picked without replacement from {x: 3, e: 1, h: 6, o: 2, c: 1, g: 2}. What is prob of picking 1 x and 1 h?
6/35
Three letters picked without replacement from {k: 1, v: 1, y: 10, a: 3, x: 2}. Give prob of picking 1 v, 1 x, and 1 a.
3/340
Three letters picked without replacement from ppppp. What is prob of picking 3 p?
1
Three letters picked without replacement from {u: 2, b: 2, c: 1, w: 6}. Give prob of picking 1 u, 1 b, and 1 c.
4/165
Two letters picked without replacement from {x: 1, q: 1, o: 2, j: 4}. What is prob of picking 1 j and 1 x?
1/7
Three letters picked without replacement from cwrrnven. Give prob of picking 1 v and 2 n.
1/56
What is prob of picking 3 u when three letters picked without replacement from ntnfut?
0
Calculate prob of picking 2 j, 1 w, and 1 p when four letters picked without replacement from {j: 2, w: 4, p: 3, i: 3, f: 4}.
3/455
What is prob of picking 1 t, 1 l, and 2 d when four letters picked without replacement from {t: 1, d: 3, l: 5, u: 1, s: 2, c: 3}?
1/91
Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, x: 2}.
1/10
Three letters picked without replacement from {t: 1, l: 6, c: 4}. What is prob of picking 1 l and 2 c?
12/55
Four letters picked without replacement from xwwxxttt. What is prob of picking 2 t and 2 w?
3/70
Calculate prob of picking 1 m and 1 q when two letters picked without replacement from mmq.
2/3
Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 2, w: 3, o: 3, b: 1, h: 1}.
1/120
Four letters picked without replacement from {v: 4, c: 2, m: 2}. What is prob of picking 1 v, 2 m, and 1 c?
4/35
Calculate prob of picking 2 y when two letters picked without replacement from {b: 18, y: 2}.
1/190
Four letters picked without replacement from ytyhtyshssthhhssdh. Give prob of picking 1 d and 3 y.
1/3060
What is prob of picking 4 j when four letters picked without replacement from {j: 10}?
1
Three letters picked without replacement from {z: 3, e: 2, r: 5, m: 5}. Give prob of picking 2 r and 1 m.
10/91
What is prob of picking 4 l when four letters picked without replacement from slssllsslslss?
1/143
Calculate prob of picking 2 t and 2 z when four letters picked without replacement from gtztz.
1/5
What is prob of picking 1 e and 1 c when two letters picked without replacement from yceceececcemmeem?
7/24
Calculate prob of picking 1 y, 1 b, and 2 m when four letters picked without replacement from yymmybyyymybbbyy.
27/455
Calculate prob of picking 1 e and 2 h when three letters picked without replacement from yyuuyhhyyyueyyyy.
1/560
What is prob of picking 1 u and 1 f when two letters picked without replacement from gfuuuubgfg?
8/45
Calculate prob of picking 1 w and 2 x when three letters picked without replacement from xxwwfwwwwxxlfxxxxxf.
72/323
Four letters picked without replacement from {o: 3, a: 3, f: 3, p: 4}. Give prob of picking 1 p, 1 a, and 2 f.
36/715
What is prob of picking 1 p and 1 g when two letters picked without replacement from actcpgtfffftf?
1/78
What is prob of picking 1 x and 1 n when two letters picked without replacement from {w: 1, s: 2, q: 1, n: 2, x: 4}?
8/45
What is prob of picking 3 p when three letters picked without replacement from {g: 2, p: 11}?
15/26
What is prob of picking 1 h and 1 o when two letters picked without replacement from gggohgoggoggo?
2/39
What is prob of picking 1 q and 2 p when three letters picked without replacement from {p: 4, q: 6}?
3/10
Three letters picked without replacement from ggggghaaggaagaggg. What is prob of picking 1 h, 1 a, and 1 g?
11/136
What is prob of picking 1 t, 1 s, 1 d, and 1 c when four letters picked without replacement from {q: 1, s: 2, d: 1, n: 4, t: 4, c: 2}?
16/1001
Two letters picked without repl | {
"pile_set_name": "DM Mathematics"
} |
- 0 - 0) + 5/(-15)?
2/3
Evaluate (-1 - 0) + (3 - 3) + 6.
5
What is the value of ((-9)/(-6))/((-8)/(-16))?
3
Calculate 46/42 - (13 + -12).
2/21
What is ((-1)/3)/(13/(-195))?
5
Evaluate 10 + 136/(-14) - 0.
2/7
What is 8 + -11 - (-9)/4?
-3/4
(8/(-24)*3)/7
-1/7
Evaluate 2/(-2) - (-11)/((-33)/(-12)).
3
What is (-2)/(8/6)*6/(-72)?
1/8
Evaluate 71/(-119) + (-12)/102.
-5/7
Evaluate 0 + (-10 - (1 + -2)) + 4.
-5
What is (-24)/(-36)*9/(-42)?
-1/7
Evaluate (-153)/24 - (10 + -16)*1.
-3/8
Calculate (4 - 2) + 2/(40/(-45)).
-1/4
Evaluate -46 + 31 - (2 - 11).
-6
Calculate ((-164)/(-287))/(3/(42/(-4))).
-2
What is the value of 4*(103/(-34) - -3)?
-2/17
(-8 + (3 - 0))*(-2)/45
2/9
Calculate -42*66/(-540) - 4/30.
5
Calculate (-8)/(-44) + (-35)/11 - 0.
-3
What is (2/(-14))/(340/595)?
-1/4
Calculate 5 - ((-99)/36 + 7).
3/4
What is ((-171)/54 + 3)*-1?
1/6
What is the value of (-244)/(-378) + 84/(-1134)?
4/7
Calculate (-8)/(-10)*(-4 - -2 - 3).
-4
What is the value of -2*(-1 - (-1 + 2))?
4
What is 14/(-21) - ((-30)/(-9) + -3)?
-1
What is the value of (-1)/(-1)*-1 + 1 + 1?
1
Calculate (-14)/168 + (-22)/24.
-1
What is ((-64)/480)/(3/5)?
-2/9
Calculate (-114)/6 + 8 + 5.
-6
-7 + 3/(1 + 18/(-30))
1/2
Evaluate 24/(-28) + 14 + -13.
1/7
What is the value of (3/15)/((-165)/50 - -3)?
-2/3
What is (2 + 38/(-18))/(2/(-6))?
1/3
What is the value of -3 + 2 - (7 + -12)?
4
What is the value of -20 + 11 + (576/8)/8?
0
(-7 - -4) + 5/(10/8)
1
Evaluate -6 + 7 - 1 - 2/(-8).
1/4
Evaluate (14 - 17) + 2 + -1.
-2
What is ((-21)/12)/7*-12?
3
Calculate 3/30 - (-1)/2.
3/5
((-615)/82)/(5/(-4))
6
((-57)/(-76))/(30/8)
1/5
What is the value of (1 - (-35)/28)/(-6)?
-3/8
Calculate (-2)/(-4)*(-22 + 23).
1/2
Calculate (-21)/(-55) + (-120)/660.
1/5
What is the value of (-12)/(-8)*(320/45)/8?
4/3
Calculate (-4)/6*(3 + (-72)/21).
2/7
What is 3/2*4/15?
2/5
What is the value of ((-1)/((-7)/(-2)))/(30/42)?
-2/5
What is the value of (4/72)/(1/4)?
2/9
(-170)/(-68)*2/5
1
Evaluate (8/(-2) + -2)/(-2 - 0).
3
What is the value of (2 + -3)*(-3 - -7)?
-4
((4 + -3)*1)/(-1)
-1
4 - 5 - (-6)/(-2)
-4
What is (3/12)/(3/(-4))*4?
-4/3
(-23)/(-18) - (-2 - (-80)/45)
3/2
(3/(-9))/((-1)/6)
2
Evaluate -2*2/(-6)*(22 - 20).
4/3
What is (10/(-15) - -4)*(-6)/(-4)?
5
What is the value of (1 - 1) + (-3)/(-3) + -7?
-6
What is (170/102)/(5/6)?
2
Evaluate 3 + 0/((-10)/(-5)).
3
Calculate (-10)/(70/(-3)) + 45/140.
3/4
(-28)/42*-2*6/4
2
Calculate 6/(-9)*(-15)/(-10).
-1
What is the value of (-175)/21 - -8 - (3 + -4)?
2/3
What is ((-2)/8)/((-52)/1456)?
7
((-5)/50)/((-10)/(-40))
-2/5
(-45)/(-63)*1*(-6)/(-15)
2/7
(7/21*3)/(-1*6)
-1/6
(0/2)/((-78)/(-39)) - 7
-7
Evaluate (-77)/42 - (1 + (-15)/18).
-2
What is the value of 1 - (-12 - (-24)/4)?
7
What is the value of 11/6 + (-52)/39?
1/2
Calculate 24/(-60) - (-84)/285.
-2/19
(8/(-48))/((-12)/120)
5/3
Evaluate (-360)/(-270)*(-30)/(-4).
10
Evaluate (-16)/48 + 1/3.
0
What is the value of 15/(5 + 0) + -5?
-2
Calculate 3/(-42)*20/5.
-2/7
What is 94/(-18) + (-354)/(-1593)?
-5
(9 - -4 - 10) + -1
2
Calculate 2 + 1/(21/6)*14.
6
Evaluate (-1)/(16 + 2) + (-8)/(-36).
1/6
What is the value of (2 + 5/(-10))/(1/2)?
3
-2 + 3/2 + (-48)/(-288)
-1/3
What is -16 + 6 + 7 + 2?
-1
Calculate 3 + -2 + 25/(-10).
-3/2
What is the value of (-2 + (-50)/(-24))/((-13)/26)?
-1/6
((-2)/(-44))/(4/66*3)
1/4
What is the value of 5/10*(-85)/34?
-5/4
Calculate 2*(-9)/21*2/4.
-3/7
Calculate (4/9)/(13/234).
8
What is ((-15)/(-2))/((-27)/(-18))?
5
(12/3)/(-24)*0
0
Calculate ((-2)/6)/(8/32*1).
-4/3
What is the value of 21/(-12) + (-3 - 36/(-8))?
-1/4
What is 7/(-9)*(16 + (-2596)/154)?
2/3
What is 34/51 - 110/(-15)?
8
Calculate 1/(-45) + 16/(-720)*9.
-2/9
Evaluate 27/(-12) + (-12)/(-13 - -7).
-1/4
What is (1856/(-348))/((-4)/(-6))?
-8
Calculate (-2)/5 - (-177)/30 - 5.
1/2
Calculate 1 + (5 - 8)*(-2)/(-3).
-1
What is the value of (-34)/(-7) + (-4)/14 - 5?
-3/7
Evaluate (-6)/2 + (6 - 0) + -4.
-1
Calculate -136 - -155 - 26/2.
6
Calculate (-5 + 17/3)*-9.
-6
Evaluate 2 - -1 - -5 - 6.
2
(-12)/(-10)*(-260)/(-858)
4/11
Calculate 8/52 - (-1040)/(-169).
-6
What is the value of (-14)/(-10) + 1*21/(-14)?
-1/10
What is 3/((-144)/(-4))*-3?
-1/4
What is the value of 28/(-126) - 40/(-18)?
2
(-5 + 9)*(-2 + 1)
-4
Evaluate (2/(-10))/(228/(-5700)).
5
Evaluate (-4)/3 + 1 - (9 + -9).
-1/3
What is the value of (-44)/(-66) + 14/6 + -1?
2
What is the value of 22/55*5/6?
1/3
((-3)/3 - -1)/(0 + 2)
0
Evaluate (-3 - 2) + 27/(-10)*-2.
2/5
What is 2 + (-3)/(-6) - 11/2?
-3
What is (-1)/(5/(-3) - (8 + -12))?
-3/7
What is the value of (3 + 12/(-6))*7?
7
Evaluate (4 - (-2 + 1))*1.
5
What is the value of (-4)/(-600)*5*-3?
-1/10
Calculate (15/(-6))/((-13)/(-26)).
-5
What is 9/30*12/9?
2/5
What is (4*42/280)/((-3)/(-4))?
4/5
Evaluate 12*((-160)/(-15))/16.
8
2 + (-1 - (2 - 4))
3
What is (-21)/70*(-5)/1?
3/2
(-1)/5*(-70)/42
1/3
What is the value of 56/(-14)*28/16?
-7
What is ((-4)/12)/((-3)/27)?
3
Evaluate (-558)/(-126) + (-12)/(-21).
5
What is the value of 60/(-40)*(-4)/(-2)?
-3
Evaluate 64/(-1584) - 4/(-18).
2/11
((-28)/42)/(2*(-1)/3)
1
(-3 - 16/(-6))/(2/12)
-2
What is (-37)/((-222)/(-12)) + 5/3?
-1/3
What is the value of (-1 - (-96)/15) + 2/(-5)?
5
What is the value of ((-22)/66)/((-2)/6)?
1
Evaluate (45/60)/((-1)/16*-2).
6
Calculate 2/(-18)*(-1 + 10/(-2)).
2/3
Evaluate 3/(-75)*(11 - 6).
-1/5
Calculate 1 + -4 + 12/(5 + -1).
0
What is the value of 16/(-28) + 104/182?
0
Evaluate 2 + 3*40/(-66).
2/11
Evaluate 1 + (1 - -2) - 493/119.
-1/7
(20/450)/(5/(-30)*2)
-2/15
(-4 + (-84)/(-18))/((-1)/3)
-2
What is the value of (21/(-28))/(81/144)?
-4/3
(-147)/(-105) - (2 + 0)
-3/5
((-9)/297)/(-3 + (-52)/(-18))
3/11
What is the value of (40/(-720))/(-3*(-2)/24)?
-2/9
What is (-216)/(-36) - (0 + 1)?
5
Calculate 8 - 30/5*1/2.
5
(-1 - (-1)/5)/((-7)/35)
4
9 + -12 + 12/(-12)
-4
Calculate (14/(-7) - -6)/(18/3).
2/3
(-9)/(-18)*-2*5
-5
What is the value of ((-23)/5 - -4)/((-12)/40)?
2
What is the value of (-4 + 35/10)*(-4)/7?
2/7
(-12 + 10 - -2)/(-1 + 3)
0
Evaluate -2*1 + 13 + -9.
2
Evaluate -2*((-45)/10)/(-1).
-9
Calculate ((-12)/14)/(-1) + (-435)/(-203).
3
22/(-33)*((-18)/8)/(-3)
-1/2
What is (9/63)/((-3)/(-42))?
2
Calculate 154/(-792) + 3 + 70/(-24).
-1/9
What is 2/(98/(-21))*(-3)/(-3)?
-3/7
Calculate (-10)/3*(-6)/(-5).
-4
What is ((-45)/(-225))/(2/45)*-2?
-9
Evaluate 16/(-6) + (-3204)/(-1242).
-2/23
0 + -5 + (-323)/(-51)
4/3
Calculate 75/30 + (-54)/20.
-1/5
What is ((-7)/(-1))/(-1) + 4615/715?
-6/11
What is the value of (-21)/18 - (-2 + 1)?
-1/6
Calculate -17 - -3 - (-11 - -1).
-4
Evaluate 17/(-4) + 3/12.
-4
Calculate (-16)/20*(-40)/112.
2/7
What is the value of (-2 + 1)/(-3 - -2)*-1?
-1
What is the value of (303/3131)/(6/4)?
2/31
Calculate (2/(-2) - 28/(-14)) + -5.
-4
Evaluate ((-2)/80)/(-7*(-6)/105).
-1/16
What is 3/(-10)*-4*67/134?
3/5
Calculate (-9 + -5 + 14)/5.
0
Evaluate (-4)/(-20)*10/3.
2/3
What is the value of ((-1)/(-14))/(194/(-24) - -8)?
-6/7
Calculate ((-6)/(-4))/((-45)/60).
-2
(-3)/(-2)*(-10)/6*2
-5
Calculate 5/2*32/20.
4
What is ((-5)/10*3 - -1)*0?
0
Evaluate 378/70 - 18/(-30).
6
Calculate (-84)/(-16)*(-18)/(-63).
3/2
What is ((-7)/42)/(5/10)?
-1/3
(-273)/182 - ((-18)/4 - 0)
3
What is the value of (-10)/4 - 1062/236?
-7
((-8 - -10) + -6)*1
-4
(-4)/6 + (-22)/(-24)
1/4
Evaluate (-540)/(-75) + -8 - 34/(-5).
6
What is ((-3)/(-87))/(2 - (-10)/(-4))?
-2/29
Calculate 1 + -1 - 1/(9 - 3).
-1/6
Calculate -4*(3 - 220/72).
2/9
What is (-16)/(-28) + (-1590)/210?
-7
Evaluate (1/(-2))/(2*40/32).
-1/5
Evaluate (-2)/8 + 132/16 - 4.
4
2 + ((-6 - 0) + 0)/(-2)
5
What is 0/(-5 - (-4)/2)?
0
What is the value of (-1)/(-3) - (4 + 14/(-3))?
1
What is the value of 188/(-141)*(-9)/2?
6
Calculate 22/6 - (2 - -2).
-1/3
What is 4 - 90/(-24) - 7?
3/4
What is (6/60*-5)/((-6)/72)?
6
What is the value of ((-27)/6)/(12/8)?
-3
Calculate (3 - 30/5)*-1.
3
6/(-57) - ((-60)/95)/6
0
What is 34/(-340) + 81/10?
8
Calculate -1*(-6)/45 + 232/60.
4
Evaluate (-1240)/240 - (-10)/2.
-1/6
Calculate 6 - 9 - (11 - 7).
-7
Calculate (-5)/(-2)*(88/(-11))/(-40).
1/2
What is 69/46*(-4)/3?
-2
1/((4/(-3))/4)
-3
3 + (6/5)/(3/(-25))
-7
Evaluate 1/(-21)*4/2.
-2/21
Evaluate 19/(-38) - (-1)/6.
-1/3
What is (-190)/40 - 5/(4 + -5)?
1/4
What is 1/(3/1 - (-56)/(-20))?
5
What is 21/(-35)*4/3?
-4/5
What is (-324)/(-96) + 3/(-8)?
3
What is the value o | {
"pile_set_name": "DM Mathematics"
} |
without replacement from aaarccrccyygsrycyc?
15/272
Three letters picked without replacement from jjrrrjygooorryoj. What is prob of picking 1 j, 1 r, and 1 g?
1/28
Three letters picked without replacement from errriiilerm. Give prob of picking 1 r, 1 m, and 1 e.
8/165
Two letters picked without replacement from {o: 5, n: 3, z: 1, q: 2, r: 5}. Give prob of picking 1 o and 1 q.
1/12
Calculate prob of picking 1 k and 3 c when four letters picked without replacement from cnnksxkkcnxnck.
4/1001
Four letters picked without replacement from {h: 6, e: 3, q: 6}. Give prob of picking 4 q.
1/91
Four letters picked without replacement from {q: 3, k: 4, f: 1, h: 1, d: 2}. What is prob of picking 1 d, 1 k, and 2 q?
4/55
Four letters picked without replacement from pazaassnznhazza. What is prob of picking 1 h, 1 p, and 2 z?
2/455
Four letters picked without replacement from nvnvqvvvnnvnqvqvn. What is prob of picking 3 n and 1 q?
3/119
Three letters picked without replacement from {j: 2, s: 1, x: 3, i: 2, m: 4}. Give prob of picking 1 j and 2 x.
3/110
Calculate prob of picking 2 t, 1 v, and 1 d when four letters picked without replacement from {v: 4, t: 3, d: 2}.
4/21
Calculate prob of picking 2 q when two letters picked without replacement from {g: 1, q: 11}.
5/6
Four letters picked without replacement from {q: 2, m: 1, y: 1, a: 1, h: 1, d: 2}. What is prob of picking 1 y, 2 d, and 1 h?
1/70
Four letters picked without replacement from {f: 4, x: 2, i: 1}. Give prob of picking 4 i.
0
Calculate prob of picking 2 z and 1 s when three letters picked without replacement from szztszsz.
9/28
Three letters picked without replacement from rdrdddddddrddd. Give prob of picking 3 d.
165/364
Two letters picked without replacement from thzshrvhvrrt. What is prob of picking 2 h?
1/22
Three letters picked without replacement from {u: 6, i: 4}. What is prob of picking 3 i?
1/30
Three letters picked without replacement from vhhvqwhvwqv. What is prob of picking 1 v and 2 h?
4/55
Two letters picked without replacement from {w: 5, m: 14}. Give prob of picking 2 m.
91/171
Two letters picked without replacement from bvyvb. Give prob of picking 2 b.
1/10
Four letters picked without replacement from {q: 1, a: 1, e: 2, k: 1, n: 2}. Give prob of picking 1 a, 1 n, and 2 e.
2/35
Calculate prob of picking 2 t when two letters picked without replacement from {j: 5, t: 3}.
3/28
Two letters picked without replacement from {k: 1, n: 2}. Give prob of picking 1 k and 1 n.
2/3
Three letters picked without replacement from cnnnnnnnnnnn. What is prob of picking 2 n and 1 c?
1/4
Three letters picked without replacement from {b: 1, k: 4, m: 3, r: 2, i: 2}. Give prob of picking 1 b, 1 k, and 1 m.
3/55
What is prob of picking 2 t when two letters picked without replacement from tlttttttttttlltltt?
91/153
Calculate prob of picking 3 q when three letters picked without replacement from {v: 13, q: 5}.
5/408
Calculate prob of picking 2 p when two letters picked without replacement from {p: 9, o: 5}.
36/91
Three letters picked without replacement from {m: 3, g: 4}. What is prob of picking 3 g?
4/35
Two letters picked without replacement from kddhzakada. Give prob of picking 2 d.
1/15
Calculate prob of picking 3 e when three letters picked without replacement from eeeeeebeeeebe.
15/26
Three letters picked without replacement from spsypsj. Give prob of picking 1 j, 1 y, and 1 s.
3/35
Two letters picked without replacement from pspqqppqqqp. Give prob of picking 1 s and 1 p.
1/11
Three letters picked without replacement from {l: 2, b: 4, j: 1}. Give prob of picking 1 b, 1 l, and 1 j.
8/35
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {f: 6, i: 4, b: 7}.
21/68
Calculate prob of picking 1 x and 1 d when two letters picked without replacement from gddgddgxggggd.
5/78
What is prob of picking 2 k and 2 c when four letters picked without replacement from bjkcjmdkc?
1/126
Calculate prob of picking 1 g, 1 u, and 2 t when four letters picked without replacement from ppgputxttnnt.
2/165
Three letters picked without replacement from {x: 2, e: 9, c: 2}. What is prob of picking 1 e and 2 c?
9/286
Four letters picked without replacement from {r: 11, q: 1, o: 2, u: 2}. Give prob of picking 2 u and 2 o.
1/1820
Calculate prob of picking 2 l and 1 x when three letters picked without replacement from xllxlxlxlxlx.
9/22
Calculate prob of picking 2 y and 2 p when four letters picked without replacement from {p: 5, y: 3, j: 4}.
2/33
Four letters picked without replacement from {c: 3, a: 15}. What is prob of picking 3 a and 1 c?
91/204
Calculate prob of picking 3 r when three letters picked without replacement from rrrrrhrh.
5/14
Three letters picked without replacement from uufvwuqfufau. Give prob of picking 2 u and 1 w.
1/22
Four letters picked without replacement from {y: 3, m: 4, o: 11}. What is prob of picking 4 o?
11/102
Four letters picked without replacement from {f: 3, h: 2, z: 4, m: 6}. What is prob of picking 2 z and 2 f?
6/455
Four letters picked without replacement from {z: 1, r: 4, a: 5, p: 1, b: 5}. Give prob of picking 2 a and 2 r.
3/91
Calculate prob of picking 2 h and 2 a when four letters picked without replacement from {a: 2, h: 6}.
3/14
Three letters picked without replacement from {z: 7, h: 1, p: 2, a: 2, v: 1, k: 1}. What is prob of picking 1 v and 2 a?
1/364
Calculate prob of picking 3 n when three letters picked without replacement from nnnn.
1
What is prob of picking 2 p when two letters picked without replacement from olopopplyoyop?
1/13
What is prob of picking 1 g, 1 t, and 1 l when three letters picked without replacement from {g: 3, t: 1, l: 11}?
33/455
What is prob of picking 1 g and 1 x when two letters picked without replacement from ujuvuuxg?
1/28
Two letters picked without replacement from {w: 2, g: 16}. What is prob of picking 1 g and 1 w?
32/153
Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, a: 6, q: 5}.
2/35
Calculate prob of picking 2 m when two letters picked without replacement from {g: 3, f: 2, m: 2, h: 3, v: 10}.
1/190
Two letters picked without replacement from {o: 4, v: 2}. Give prob of picking 2 o.
2/5
Calculate prob of picking 2 b when two letters picked without replacement from dbbbbbbdbbbbbbbbbb.
40/51
Three letters picked without replacement from sszazsszznqis. Give prob of picking 1 q and 2 z.
3/143
Four letters picked without replacement from wfkkfkkkp. Give prob of picking 3 p and 1 k.
0
What is prob of picking 1 e and 1 a when two letters picked without replacement from befbofwwawf?
1/55
Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {m: 2, a: 5, u: 3}.
1/40
Two letters picked without replacement from {c: 3, n: 13}. What is prob of picking 2 c?
1/40
Four letters picked without replacement from eedgqtgzzdddzz. Give prob of picking 1 g, 2 z, and 1 e.
24/1001
What is prob of picking 2 z when two letters picked without replacement from {z: 11, j: 1}?
5/6
Three letters picked without replacement from {n: 1, a: 1, d: 2, c: 1}. What is prob of picking 1 d, 1 a, and 1 n?
1/5
What is prob of picking 1 v, 1 q, and 1 k when three letters picked without replacement from {k: 7, q: 3, v: 9}?
63/323
What is prob of picking 3 c and 1 t when four letters picked without replacement from {y: 4, c: 4, p: 7, u: 1, t: 3}?
1/323
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from owqxgfx.
1/21
What is prob of picking 1 f and 3 q when four letters picked without replacement from fqqqqqqfqq?
8/15
Two letters picked without replacement from wrojro. What is prob of picking 1 o and 1 r?
4/15
What is prob of picking 2 v and 2 w when four letters picked without replacement from {v: 4, w: 6}?
3/7
Three letters picked without replacement from {c: 3, f: 3, b: 1, r: 2, y: 2, a: 7}. Give prob of picking 1 a and 2 r.
7/816
What is prob of picking 1 e and 1 s when two letters picked without replacement from bsseb?
1/5
Four letters picked without replacement from {b: 1, h: 1, n: 2, f: 1, w: 1, c: 1}. What is prob of picking 1 b, 2 c, and 1 h?
0
Three letters picked without replacement from {b: 1, h: 1, p: 3, j: 1, c: 1}. Give prob of picking 2 p and 1 h.
3/ | {
"pile_set_name": "DM Mathematics"
} |
-20. Let a be (-3)/r + (-110)/(-6). Suppose 2 = -2*o + a. What is the highest common divisor of 64 and o?
8
Suppose t = -t + 52. Let b = -14 - -8. Let r = b + t. Calculate the highest common factor of r and 5.
5
Let q be 2 - (-1 + -2 + -1). Suppose -n - 2*n = -q. Suppose -16 - n = -2*u. What is the highest common factor of u and 81?
9
Let x(j) = -5*j + 7. Let y be x(-6). Suppose -5*d - 2 = -y. Suppose -a + 15 = -2*k - 6, -5*a + 105 = 2*k. Calculate the highest common factor of d and a.
7
Let n = 5 - -10. Suppose -5*i - 2*s = -s - 182, -120 = -3*i + 3*s. Let u = i - -8. What is the greatest common factor of n and u?
15
Let v(c) = 4*c**2 + 1. Let u be v(-1). Suppose -2*k = -u*k - 99. Let w = -21 - k. Calculate the greatest common factor of 84 and w.
12
Let v = -5 + 7. Calculate the highest common divisor of v and 2.
2
Let g(i) = -13*i + 4. Let w(h) = -7*h + 2. Let p(c) = -6*g(c) + 11*w(c). Let y be p(3). What is the highest common divisor of y and 9?
1
Suppose -3*u = -7*u + 56. What is the highest common factor of u and 21?
7
Suppose 3*g + 0 = 27. Calculate the highest common factor of 3 and g.
3
Suppose 2*u = 10 + 6. Let a = 77 + -42. Suppose 5*v - 5*m = a, -3*v + 4 = -4*m - 12. What is the greatest common factor of v and u?
4
Let s = 3 - 1. Suppose 5*l = s*l + 57. Let o be (3/(-1))/(9/(-456)). What is the highest common factor of o and l?
19
Suppose 5*m + 13 = 38. Calculate the greatest common factor of 20 and m.
5
Let u be (-15)/(-6)*2/1. Let x be (4/3)/(3/45). Calculate the greatest common factor of u and x.
5
Let z(n) = 12*n**2 + 5*n - 3. Let d be z(3). What is the highest common divisor of d and 30?
30
Let k = -76 - -39. Let i = 102 + k. Calculate the greatest common factor of 13 and i.
13
Let a(g) = -g**3 - 6*g**2 - 9*g - 3. Let l be a(-5). What is the greatest common factor of 17 and l?
17
Suppose -x = -17 - 1. Calculate the greatest common factor of x and 9.
9
Let x be 6/(-15) + 98/(-5). Let f be (-2)/3 - x/3. Let t be 18/(-30)*(-30)/9. Calculate the highest common factor of t and f.
2
Suppose 5*i = s + 122, 5*s = -i - 3*i + 86. Suppose -5*y - 35 = -4*q + 3*q, 25 = 5*y. Calculate the highest common factor of i and q.
12
Let i(f) = f**3 - 8*f**2 - 9*f + 1. Suppose -3*q = -8*q + 45. Let p be i(q). What is the highest common divisor of p and 1?
1
Let p = -109 - -174. Let q(s) = s + 27. Let d be q(-14). Calculate the greatest common factor of p and d.
13
Let k(d) = 2*d**3 - d**2 - 5*d - 2. Let z be k(4). Suppose j - y - 17 = -j, -21 = -3*j + 3*y. Calculate the greatest common divisor of j and z.
10
Suppose -2*s = 2*s - o - 40, o = -5*s + 59. Let h = 142 + -65. What is the greatest common divisor of s and h?
11
Let t(p) = p**2 + p + 160. Let s be t(0). Suppose -5*l = -l - s. What is the greatest common factor of l and 10?
10
Let u(h) = h**2 - 4*h + 2. Let w be u(4). Calculate the highest common divisor of w and 5.
1
Suppose 3*f = 2*z + 70 - 214, 0 = 5*z + 3*f - 381. Calculate the greatest common divisor of 15 and z.
15
Let l(x) = -x**2 + 0 + 0 + 6*x**2 + x**3 + 6. Suppose z + 1 + 4 = 0. Let o be l(z). What is the highest common factor of 6 and o?
6
Let f = -46 + 49. What is the greatest common divisor of f and 1?
1
Let h = 8 + -1. Let w(r) = 2*r**2 - 8*r + 4. Let a be w(5). Calculate the greatest common factor of a and h.
7
Suppose -3*n = -12 - 15. Suppose 0 = 2*r - f - 19, r + 0*r - 32 = -4*f. Suppose -t = t - r. Calculate the greatest common factor of n and t.
3
Suppose 7*q - 4*q - 60 = 3*j, -3*q = 4*j - 46. What is the highest common divisor of 198 and q?
18
Let g = 11 - 18. Let a = 20 + g. Calculate the greatest common factor of 13 and a.
13
Suppose -22 = -5*n - 7. Let j be n/(-5) - 1908/(-30). What is the highest common factor of j and 7?
7
Let j be 1/(-1)*(-12 - -2). Let a = j - 17. Let r = a + 16. What is the greatest common factor of 99 and r?
9
Let t(n) = n**3 + 6*n**2 + 2*n - 9. Let m be t(-4). What is the highest common divisor of 135 and m?
15
Let x be (-5 + 1)/(2/(-12)). Suppose 44 = 2*l + 2*l - 5*u, l - 10 = u. Suppose -15 = -l*k + k. What is the greatest common factor of x and k?
3
Suppose -4*h + 165 = 4*p - 271, h = -5*p + 557. What is the greatest common divisor of 14 and p?
14
Let k be -26 - (-12)/4 - -2. Let r be (-6)/(-9) + (-217)/k. Calculate the greatest common factor of r and 121.
11
Let x be 39 - 13 - (-1)/1. What is the greatest common factor of x and 18?
9
Let z(q) = -q + 9. Let o be z(6). Suppose -323 + 125 = -o*y. Calculate the highest common factor of y and 6.
6
Let j(z) = -z + 22. Let y be j(12). Suppose -2*b - 2*l + 26 = 0, 6*l = b + 4*l - y. Calculate the highest common factor of 18 and b.
6
Suppose 0 = 3*c - 71 - 46. What is the greatest common factor of c and 39?
39
Suppose -6*m - 6 = -8*m. Suppose 4*a = j + 39, 12 = -3*j - j. What is the greatest common divisor of a and m?
3
Let m be -2 - (-1 - 1) - -15. Calculate the greatest common factor of 5 and m.
5
Suppose -2*r + 20 = 2*r. Suppose -2*j + 6 = 0, 0*z + r*j = -3*z + 33. What is the greatest common factor of z and 18?
6
Let l(w) be the third derivative of -w**4/8 + w**3/3 - 3*w**2. Let v be l(-3). What is the greatest common factor of v and 44?
11
Suppose c - 12 = -4*o, 3*o - c - 8 - 8 = 0. What is the greatest common divisor of o and 1?
1
Suppose 0*t - 3*t + 27 = 0. Calculate the greatest common factor of t and 9.
9
Suppose -6 = 3*r - 3*g - 3, r = -g - 5. Let o be (-1 - r - 3) + 6. What is the highest common factor of 20 and o?
5
Suppose -3*r + 424 = 154. What is the highest common factor of 10 and r?
10
Suppose 5*v - 2*v = -492. Let j = -114 - v. Calculate the highest common factor of 10 and j.
10
Let t(n) = -135*n**3 + n**2 - 1. Let r be t(-1). Suppose i - 11 = -2*h - 2*h, 4*h = -4. What is the greatest common factor of r and i?
15
Let m be (20/(-12))/(1/(-3)). Let i(n) = -n**3 + 6*n**2 + n - 1. Let o be i(6). Calculate the greatest common factor of m and o.
5
Let x(z) = 9*z**3 + z**2 + z - 1. Let g be x(1). Suppose 100 = t + 3*t. Let l = t + -5. Calculate the greatest common factor of g and l.
10
Let f(o) = 17*o**3 - 2*o**2 + 2*o - 4. Let r be f(2). What is the greatest common factor of 16 and r?
16
Suppose 5*n = 10 + 5. Calculate the highest common divisor of 6 and n.
3
Let s be (-2)/6 + (-24)/(-18). Calculate the greatest common divisor of s and 2.
1
Let v be 52 - (-2 + (1 - -1)). Suppose 2*o - 4*o + v = 0. Suppose 0*i + 5*t = 3*i - 66, i - 3*t - o = 0. What is the greatest common divisor of i and 136?
17
Let b(i) = -3*i - 5. Let m be b(-20). What is the greatest common divisor of 11 and m?
11
Suppose 10 = 3*f + 1. Suppose 25 = -5*i + 40. Calculate the highest common factor of i and f.
3
Let w be (-1 - 0) + (-58)/(-2). Calculate the greatest common factor of w and 70.
14
Let g(y) = -y**2 + 7*y - 9. Let o be g(4). Suppose 87 = 5*d + 4*p, -o*p + p = -d + 9. Calculate the greatest common factor of d and 6.
3
Let z be -3 + (-2 + 2 - 0). Let p = z + 11. What is the greatest common factor of p and 40?
8
Suppose 0 = 5*g - 25, v + 100 = 6*v + 2*g. What is the greatest common divisor of 198 and v?
18
Suppose 0 = 4*x + 5*p + 6, 3*x - 1 - 8 = 3*p. Let m(n) = n**3 + 13*n**2 + 11*n - 11. Let f be m(-12). What is the highest common divisor of x and f?
1
Suppose 2*h + 0*h = -2*d + 6, -7 = -d + 3*h. Suppose 8*a = d*a + 180. What is the greatest common factor of 9 and a?
9
Let g be 1*-27*(-2 + 1). Suppose 3*t + 4*i - 14 = t, -g = -5*t - 2*i. What is the highest common divisor of t and 45?
5
Let s(l) = -23*l - 1. Let t be s(-1). Calculate the greatest common divisor of t and 88.
22
Suppose -3*h + 2*j - j = -8, -5*h + 14 = -j. Let s = -15 - -18. Suppose s + 3 = 3*v. Calculate the greatest common factor of v and h.
1
Suppose 0*t + 52 = 3*c + t, 3*c - 3*t = 36. Let p = 29 + -21. Calculate the highest common factor of c and p.
8
Let m(a) = a**2 - a. Let g be m(-3). Let w = g + -30. Let f = 41 + w. What is the greatest common divisor of 184 and f?
23
Let p(j) = 20*j**2 - j - 1. Let a be p(-1). Let x be ((-10)/8)/(1/(-80)). Let w be x - (0 + 0/(-4)). What is the highest common divisor of a and w?
20
Let y(n) = -5*n**2 - 2*n + 1. Let x = 7 - 9. Let u be y(x). Let h = u - -78. What is the highest common factor of h and 7?
7
Suppose -4*c = -2*y - y - 21, -5*c = -y - 29. | {
"pile_set_name": "DM Mathematics"
} |
2, 17
Let v = 67 + -84. Let s(n) = -19*n + 91. What are the prime factors of s(v)?
2, 3, 23
Let q(c) be the first derivative of c**3 - 2*c**2 - 10*c + 98. Let w(l) = 5*l**2 + l + 1. Let v be w(-1). List the prime factors of q(v).
3, 5
Let c be (-7)/(-14)*(61 + -1). Suppose i = -c + 134. List the prime factors of i.
2, 13
Suppose -2*z + y = -6, -5*y = 4*z - 1 + 3. Suppose -4*m + v + 1053 = 0, 528 = 10*m - 8*m - z*v. What are the prime factors of m?
263
Let l(i) = 2*i**3 + 2*i**2 - 1. Let a(w) = -50*w**3 + w**2 + 5*w + 3. Let c(r) = a(r) + l(r). What are the prime factors of c(-2)?
2, 97
Suppose 30 = -5*s + p + p, 2*s + 2*p - 2 = 0. Let r(k) = 22*k**2 - 7*k - 7. What are the prime factors of r(s)?
373
Suppose -255*x = -437*x + 5119478. List the prime factors of x.
23, 1223
Let w be 90/(-3 + -89*(-4)/116). Suppose -13*p = 4*q - 18*p - 1026, 5*p - w = -5*q. What are the prime factors of q?
7, 37
Suppose 0 = -2*o - f + 37218, 229*f - 224*f = -o + 18591. List the prime factors of o.
37, 503
Let q = 19525 - 7610. What are the prime factors of q?
5, 2383
Let v be (-20)/(-8)*((-65)/25 - -5). List the prime factors of v + (-290)/1*54/(-12).
3, 19, 23
Suppose a - 5*h + 6 = 3, -3*a + 4*h + 2 = 0. Suppose 9*k = k + 3296. Suppose 5*j - b = 579, -a*b - 75 + k = 3*j. List the prime factors of j.
5, 23
Let w be (222/8 - -1)/((-17)/136). Let h = w - -394. What are the prime factors of h?
2, 41
Let o(f) = f**2 + 4*f + 18. Let i = 155 - 122. Suppose 2*h + i = 13. What are the prime factors of o(h)?
2, 3, 13
Suppose 2*u + 1509 = n, 2*n - 22 = -2*u + 3026. Suppose 8*t - n = -583. What are the prime factors of t?
3, 13
Let t = -12139 + 12836. What are the prime factors of t?
17, 41
Suppose -21*d = 2*q - 19*d - 41950, 104839 = 5*q - 4*d. List the prime factors of q.
67, 313
Let f = 23 - 24. Let h be (-2)/(-3)*(-117)/(-6) - f. Suppose 5*k = 4*n - 361, -3*n + 280 = 4*k - h. What are the prime factors of n?
2, 47
Let d = -11618 - -12710. What are the prime factors of d?
2, 3, 7, 13
Let y(i) = -1 + 5 - 9*i**2 + 1 + 18*i + i**3. Let o be y(6). Suppose -512 = -5*j + n, 0*j - 4*n = -o*j + 518. What are the prime factors of j?
2, 3, 17
Suppose 347*f - 377640 = 307*f. List the prime factors of f.
3, 1049
Suppose 29*c + 1861125 = 102*c + 32*c. What are the prime factors of c?
5, 709
What are the prime factors of -14 + 1 + 6 + 13375?
2, 3, 557
What are the prime factors of 4211*(-1 - (-8)/6) - 3436/(-10308)?
2, 3, 13
Let s be (-3)/((-4)/(-37496)*-3). Suppose 0 = -22*g + s + 636. What are the prime factors of g?
5, 7, 13
Suppose -35*d + 152911 = -190713 + 49834. List the prime factors of d.
2, 3, 1399
Let l = 46 - 44. List the prime factors of ((-1)/2)/((7 + l)/(-11988)).
2, 3, 37
Suppose -2*d - 5*x = -139, -333 = -2*d - 2*d + x. Suppose -16*a + 12*a + 8 = 4*m, 3*a = m + 10. Let r = d + m. What are the prime factors of r?
3
What are the prime factors of (0 + 816)*(3 + (-13)/26)?
2, 3, 5, 17
Suppose -2*o = -5*o + 246. Let z = 128 - o. Suppose -z*x = -44*x - 200. What are the prime factors of x?
2, 5
Let n = 381 + -385. What are the prime factors of ((-3505)/(-20))/(-1)*n?
701
Let w = 417 - 278. Let j = 117 + w. List the prime factors of j.
2
Let n be 48412/42 - 1/(-3). Let k = n - 813. List the prime factors of k.
2, 5, 17
Let j be (-2 + 0)/((-2)/36). Suppose -a + j = 3*a. Suppose -a*n + 680 = -n. List the prime factors of n.
5, 17
Suppose 0 = 5*a - 35240 - 18360. What are the prime factors of (4 - 1)/(4/(a/30))?
2, 67
Let b be 3/(3/15 + (-2)/60). Let u = 32 - 29. Suppose -y - 2*t + 69 + b = 0, -2*y - u*t = -170. List the prime factors of y.
79
Let d(f) = 2*f**2 + 11*f - 1188. What are the prime factors of d(78)?
2, 3, 1973
What are the prime factors of (15*(-8 + 10))/((-20)/(-12410))?
3, 5, 17, 73
Let k = -10 - -13. Let u be (-87)/(-3) - (k - 3 - 3). Suppose u*a - 318 = 30*a. What are the prime factors of a?
3, 53
Let k(s) = 2*s + 1. Let a(y) = y + 1. Let h(b) = 4*b + 6. Let z(m) = 14*a(m) - 2*h(m). Let f(g) = -16*k(g) + 5*z(g). What are the prime factors of f(-12)?
2, 3
Let h be 34/85 + (-1286)/(-10). Suppose -4*u + 211 = -h. List the prime factors of u.
5, 17
Let l = 14 - 23. Let f(i) = -i**2 - 5*i + 20. Let a be f(l). Let c(b) = -b**2 - 21*b - 8. What are the prime factors of c(a)?
2, 3
What are the prime factors of 732/((-28)/(48832/(-48)))?
2, 61, 109
Let r(s) = 3043*s - 4639. What are the prime factors of r(9)?
2, 11, 47
Let u(d) = 5*d**3 - 49*d**2 - 9*d + 7. Let z be u(10). List the prime factors of 28*z*(2 + -1).
2, 7, 17
Let f(o) = -5*o - 11. Let y be f(-3). Suppose -5*r = 4*c - 1054, 839 = y*r + 13*c - 14*c. Let d = -121 + r. List the prime factors of d.
89
Let g = 64 + -56. Suppose -2*v - g = -2, 0 = -x + 2*v + 183. Suppose x = -11*a + 14*a. What are the prime factors of a?
59
Let z be 5/(30/(-112))*30/(-20). Let l be -2*3/2 + 97. Let g = z + l. What are the prime factors of g?
2, 61
Let x(q) = -q**2 + 45*q - 263. Let y be x(7). Let c(g) = -g + 3. Let h be c(0). Suppose -l = -y*l - o + 27, -l + h*o = -3. What are the prime factors of l?
2, 3
Let h = 9280 + 9542. What are the prime factors of h?
2, 3, 3137
Let v(r) = 365*r - 19. Let f be v(-9). Let q be f/36 - 2/9. Let o = q - -196. What are the prime factors of o?
2, 13
Let t(u) = 21*u**2 - 45*u + 509. What are the prime factors of t(54)?
5, 11863
Suppose -80*z = -37*z - 59*z + 91216. What are the prime factors of z?
5701
List the prime factors of (-48)/3 + 18 + (0 - -1895 - -1).
2, 13, 73
Let g be (-2 + -2)/(-2) - (3 - 2). List the prime factors of (1 + 3 + -3)*(g - -120).
11
Let n = 29789 - 16388. List the prime factors of n.
3, 1489
Let q be 2 - (2 + -4 + 1). Let p(x) = 2*x**2 - 7*x + 8. Let j be p(q). Suppose -s - 958 = -j*i + 2*s, 0 = -5*i + 5*s + 960. What are the prime factors of i?
191
List the prime factors of (14/(-2))/(0 + 1 + 5120/(-5116)).
7, 1279
Suppose 0 = -v + 5*c + 83, -2*c + 247 = 8*v - 627. What are the prime factors of v?
2, 3
Let r(p) = -p**2 + 18*p + 7. Let h(y) = -y**2 - y - 2. Let k be h(-7). Let o = -36 - k. List the prime factors of r(o).
3, 29
Let z = -26 + -8. Let g = z - -154. What are the prime factors of g?
2, 3, 5
Suppose 0 = -2*v + 42 + 70. Suppose -v*x + 53*x = -819. What are the prime factors of x?
3, 7, 13
Let g(j) = 316*j + 485. What are the prime factors of g(21)?
7121
Suppose t = 3*t - 4. Suppose -6873*v + 44 = -6862*v. Suppose t*c = -v*b + 36, -3*c + b + 22 = -b. What are the prime factors of c?
2, 5
Let z = 27545 - -11272. What are the prime factors of z?
3, 19, 227
Let f be 4/(8/14) + (-8)/2. Suppose f*n - 8*n = -45. Suppose -n*i + 1349 - 26 = 0. List the prime factors of i.
3, 7
Suppose -638 = -4*l + 2*l. Let t = l - 151. List the prime factors of t.
2, 3, 7
Let w(p) = -2*p**3 + 10*p**2 + 2*p - 5. Suppose 0 = 8*k - 16*k + 40. Let j be w(k). Let m(i) = i**3 - 3*i**2 - 6*i + 8. What are the prime factors of m(j)?
2, 7
Let a(x) = -3*x**2 - 3*x + 2. Let l = -32 - -33. Let i be a(l). Let d(m) = m + 37. List the prime factors of d(i).
3, 11
Suppose -v - 32 = -5*j - 0*j, 3*v = 5*j - 56. Let x(k) = k**3 + 12*k**2 - 10*k + 26. Let g be x(v). Let a = g - 2. List the prime factors of a.
2, 3
Let f(w) = w + 10. Let z be f(-4). Suppose 0 = -5*n - 4*p + 156, 2*p + 100 = 3*n + z*p. Suppose -3*u = k - n, k + 3*u = -u + 23. List the prime factors of k.
43
Suppose 0 = -33*x + 215384 + 160561 - 54921. List the prime factors of x.
2, 19
Let x(q) = 2*q**2 - 78. Let l = -22 - 3. What are the prime factors of x(l)?
2, 293
Suppose -5*j - 519 = -2*h, 4*h + j = 3*h + 263. Suppose 0 = 2*s - h - 26. What are the prime factors of s?
2, 3
Let z(w) = -69*w - 144. Let r(j) = 141*j + 287. Let a(g) = -3*r(g) - 5*z(g). What are the prime factors of a(-10)?
3, 71
Suppose 7*s - 47 = -5. What are the prime factors of s/(6 + 640/(-107))?
3, 107
Suppose -4*d = -1 - 11, 23 = -5*s + d. Let y(j) = 11 - 24*j**2 + 34*j**2 - 2*j**3 + 6*j + j**3. What are the prime factors of y(s)?
211
Let z = -35 - 29. Let o = z - -66. Suppose -5*t = -2*h + 282, 5*h + t = o*t + 659. What are the prime factors of h?
131
Let u(o) = -7*o + 74. Let k be u(-14). Let v = 425 + k. What are the prime factors of v?
3, 199
Let y be 49/2*(6/(-3) + 4). Let r = y - 47. Suppose -7*t + 45 = r*t. What are the prime factors of t?
5
List the prime | {
"pile_set_name": "DM Mathematics"
} |
q**2 wrt q.
144*q
Let q(p) be the second derivative of 5*p**5/4 - p**4/4 - 579*p**2/2 - 2*p + 83. Differentiate q(m) with respect to m.
75*m**2 - 6*m
Let y(g) be the third derivative of -257*g**5/30 - 81*g**4/8 - 310*g**2 - g. What is the second derivative of y(z) wrt z?
-1028
Let i(o) be the first derivative of 24*o**3 + 200*o + 84. What is the derivative of i(v) wrt v?
144*v
Let j(m) = m**3 + 8*m**2 + 16*m + 19. Let u be j(-5). Differentiate -3*w**2 - u*w**2 + 34 + 3*w**2 - 3*w**2 wrt w.
-34*w
Suppose 0 = -2*c + 1336 + 2374. What is the third derivative of 0*q - 2*q**2 - 34*q**3 - c - 5*q + 1855 wrt q?
-204
Let g = 278/3 - 92. Let s(y) be the second derivative of 0 + 0*y**5 - g*y**3 + 2/15*y**6 + 0*y**4 + 0*y**2 + 2*y. What is the second derivative of s(b) wrt b?
48*b**2
Let c(v) be the second derivative of 53*v**3 + 431*v**2 + 669*v. What is the first derivative of c(a) wrt a?
318
What is the derivative of 38 - 6*y - 8*y - 14*y**2 - 8*y**2 + 13*y wrt y?
-44*y - 1
Suppose 2*q + n + n - 4 = 0, 4*q = 3*n + 8. Let f = q - 3. Let u(p) = -6*p + 7. Let b(w) = 1. Let o(m) = f*u(m) + 2*b(m). Differentiate o(h) with respect to h.
6
Suppose 0 = 4*q + 21 - 65. Find the second derivative of q*u + 2*u**4 + 3*u**4 - 4*u**4 wrt u.
12*u**2
Let t(b) be the first derivative of 1/3*b**3 + 7*b + 0*b**2 - 6. What is the first derivative of t(n) wrt n?
2*n
Suppose 0 = 8*y - 5*y - 15, -4*r + y = -119. Let l = -24 + r. Find the third derivative of -5*m**2 - 3*m**2 + l*m**2 + 2*m**5 wrt m.
120*m**2
Let c be 0/(((-6)/4)/(3/8)). Let a(y) be the second derivative of 0 - 7/20*y**5 - 2*y**2 + y + 0*y**4 + c*y**3. Differentiate a(q) with respect to q.
-21*q**2
Find the third derivative of 234*r**6 - 3*r - 86*r**6 + 3*r + 136*r**6 + 291*r**2 wrt r.
34080*r**3
Differentiate -124 + 74 - 21 + 176*v**2 - 336 with respect to v.
352*v
Let z(u) = u - 4 - 1 - 4*u + 2*u. Let b be z(-13). What is the second derivative of -2*o**2 + b*o**4 - 5*o + 2*o**2 - 5*o**4 wrt o?
36*o**2
Let a(l) = 5*l**3 - 7*l**2 - 59*l. Let x(u) = -81*u**3 + 111*u**2 + 942*u. Let i(c) = 33*a(c) + 2*x(c). Find the second derivative of i(w) wrt w.
18*w - 18
What is the second derivative of 3*q**4 - 58*q**3 - 5*q**4 + 52*q + 36*q**3 wrt q?
-24*q**2 - 132*q
What is the first derivative of 26*k**2 + 21*k**2 + 2*k**4 + 19*k**2 - 76*k - 66*k**2 - 170 wrt k?
8*k**3 - 76
Let h(n) = 271*n**4 + 11*n**3 - 2*n + 130. Let g(s) = 136*s**4 + 6*s**3 - s + 65. Let l(q) = 11*g(q) - 6*h(q). Find the first derivative of l(y) wrt y.
-520*y**3 + 1
What is the first derivative of 144 + 1166*q**3 + 242 - 897*q**3 wrt q?
807*q**2
Find the third derivative of 0*n**3 + 17399 - 173*n**5 - 17387 + 0*n**3 + 6*n**2 wrt n.
-10380*n**2
Let z(i) be the third derivative of -139*i**9/252 - i**5/60 + 65*i**3/2 - 3*i**2 + 53*i. Find the third derivative of z(v) wrt v.
-33360*v**3
Suppose -3*o + 96 = -o. What is the first derivative of -23*d + 10 + o*d - 7*d wrt d?
18
Let v be ((2 - 0) + -1)*(-41 - -46). Let k = 1 + 8. What is the third derivative of -9*f**5 + 3*f**2 + f**6 + k*f**v wrt f?
120*f**3
Let k(l) be the second derivative of -l**5/20 - 20*l**3/3 - 86*l**2 - 3*l - 89. Differentiate k(d) with respect to d.
-3*d**2 - 40
Let o(y) be the third derivative of -9*y**4/4 + 241*y**3/6 - 15*y**2. Differentiate o(n) wrt n.
-54
Suppose 47*a = 51*a - 12. Find the third derivative of 11*q**4 - 17*q**3 + 11*q**3 + 6*q**a - 23*q**2 wrt q.
264*q
Find the third derivative of 24*w**6 + 227*w**6 + 31*w**2 - 56*w**2 - 37*w**6 wrt w.
25680*w**3
Let n be (24/36)/(3 - (-15)/(-6)). Let v(h) be the first derivative of 0*h + 1/4*h**4 + n*h**3 + 0*h**2 + 5. Find the third derivative of v(x) wrt x.
6
Let i(p) = p**2 - 2*p + 1. Let c(u) = -74*u**2 + 13*u - 200. Let h(b) = c(b) + 6*i(b). Differentiate h(j) with respect to j.
-136*j + 1
What is the third derivative of -1137 - 13*j + 3*j**2 - 46*j**4 - j**6 + 1137 wrt j?
-120*j**3 - 1104*j
Let h(s) = 88*s**3 + s**2. Let r be h(-1). Let o be 5/(5/r)*-1. Find the third derivative of -o + d**2 + d**4 + 87 wrt d.
24*d
Suppose f = 8*f - 259. What is the second derivative of 34*n - f*n**4 + 102*n**4 - 36*n**4 wrt n?
348*n**2
Let x(w) be the second derivative of -289*w**4/6 + 119*w**2/2 - 242*w. Differentiate x(t) with respect to t.
-1156*t
Let c(z) be the third derivative of -6*z**2 - 1/24*z**4 + 1/21*z**7 + 0*z**6 + 0*z + 0*z**5 + 0 + 0*z**3. Find the second derivative of c(o) wrt o.
120*o**2
Suppose 7*b - d = 4*b + 1, 12 = -4*b + 4*d. Differentiate -9*o**2 + 19 - 6*o + 8*o - b*o wrt o.
-18*o
Let x(t) = 132*t**2 - 11*t + 48. Let d(a) = -66*a**2 + 6*a - 25. Let r(f) = -11*d(f) - 6*x(f). What is the first derivative of r(l) wrt l?
-132*l
Let c(s) be the second derivative of 4*s**5/5 - s**4/4 + 63*s**3/2 + 89*s. What is the second derivative of c(t) wrt t?
96*t - 6
Let q(r) = -r**2 + 7*r. Let f(i) be the second derivative of -i**3/6 + i. Let p(x) = 6*f(x) + q(x). What is the second derivative of p(j) wrt j?
-2
What is the derivative of 120*u**2 + 10 - 185 - 228*u**2 + 115*u**2 wrt u?
14*u
Let a(z) be the second derivative of 6*z**5/5 - 55*z**4/3 - 286*z. What is the third derivative of a(f) wrt f?
144
Let v(t) = -10*t**6 - 12*t**5 + 45*t**3 - 400*t**2 + 6*t - 6. Let w(b) = -2*b**5 + b - 1. Let d(u) = v(u) - 6*w(u). Find the third derivative of d(s) wrt s.
-1200*s**3 + 270
Suppose -4*h + 7*h - g = 10, 0 = 4*h - 4*g - 16. Find the second derivative of -11*s**4 - 6*s**h + 6*s**3 - 4*s**4 - 2*s wrt s.
-180*s**2
Let o be (8/4)/(6/39). Find the second derivative of m**3 + 195*m - 202*m - o*m**3 wrt m.
-72*m
Let v(h) be the first derivative of 7*h**4/4 - 11*h**2 + 226*h - 53. Differentiate v(t) wrt t.
21*t**2 - 22
Let m(t) be the third derivative of -7*t**5/30 - 47*t**3/6 + 52*t**2. Find the first derivative of m(g) wrt g.
-28*g
Let f = 46 + -27. Let r = f - 15. Find the second derivative of -3*i + 8*i**5 + 5*i - r*i + 3*i wrt i.
160*i**3
Let y be 104/(-416) - 2/(-8). Let x(t) be the third derivative of 0*t**3 + 5/24*t**4 + 0 + y*t - 2/15*t**5 - 8*t**2. Find the second derivative of x(j) wrt j.
-16
Suppose -36 - 80 = -4*i. Find the third derivative of -7*k**6 - 8*k**2 + i*k**2 + 21*k**6 wrt k.
1680*k**3
What is the third derivative of 36*i**2 + 38*i**4 + 129*i**2 + 29*i**4 + 188*i**2 - 35*i**2 wrt i?
1608*i
Let c(l) be the first derivative of 36*l**5/5 - 17*l + 61. Find the first derivative of c(p) wrt p.
144*p**3
Let s be ((0 - -1) + -6)*-1. Suppose s*b = 2*f - 2 - 16, 3*b = -6. Find the second derivative of -3*h + f*h - 4*h + 4*h**3 wrt h.
24*h
Let l(q) be the first derivative of 2*q**3/3 + 55*q**2/2 + 64*q + 67. Differentiate l(b) wrt b.
4*b + 55
Suppose 5*g = 3*l - 5, -2*l + 2*g = -3*g. Find the second derivative of 26*k - 9*k - 398*k**l + 408*k**5 wrt k.
200*k**3
What is the third derivative of 360*y**2 + y**3 + 11*y**5 - 3*y**4 - 75*y**5 - 159*y**2 + 3*y**4 wrt y?
-3840*y**2 + 6
What is the third derivative of 125*s**3 + 128*s**2 - 30639*s + 30639*s wrt s?
750
Let x = -26 - -28. Let w be x - 16/(-2 - 2). Find the third derivative of 4*s**2 + 5*s**2 - 10*s**w - 2*s**2 wrt s.
-1200*s**3
Find the first derivative of -700*n - 209*n - 407 + 359*n - 414 wrt n.
-550
Let u(g) be the third derivative of 17/120*g**6 + 0 + 8*g**2 + 0*g + 7/12*g**5 + 0*g**3 + 0*g**4. Find the third derivative of u(y) wrt y.
102
Let d(l) = -71*l**3 + l**2 - 32*l - 22. Let x(y) = -24*y**3 - 11*y - 7. Let r(k) = 6*d(k) - 17*x(k). Find the second derivative of r(u) wrt u.
-108*u + 12
Let m(j) = 9*j**3 + j**2 + j - 1. Let r be m(1). Let s = 13 - r. What is the second derivative of -7*k**3 + 3*k**3 + 7*k - s*k - k wrt k?
-24*k
Let q(f) be the first derivative of -1/4*f**4 + 12 + 0*f + 0*f**3 + 7*f**2. Find the second derivative of q(b) wrt b.
-6*b
Let r = 2 - -4. Suppose 3*v - r*v + 9 = 0. Differentiate 2*b + v - 2*b - 12*b**2 + 7*b**2 wrt b.
-10*b
Suppose -16 = -4*b + 4. Suppose 9*t - 24 = b*t. What is the third derivative of -d**6 - 4*d**6 - d**2 - d**2 + d**t wrt d?
-480*d**3
Let v(n) be the first derivative of 34 + 4*n**5 + 0*n**6 + 0*n + 0*n**2 - 34/3*n**3 + 2/7*n**7 + 0*n**4. Find the third derivative of v(i) wrt i.
240*i**3 + 480*i
Let q(m) be the second derivative of -81*m**8/56 + m**4/6 + 41*m**3/3 + 80*m. What is the third derivative of q(s) wrt s?
- | {
"pile_set_name": "DM Mathematics"
} |
, 5*j - 122 = -3*d + 164. Is d a multiple of 23?
True
Suppose 8*m + 40 = 4*m + 3*j, 0 = m - 2*j + 10. Let y = 12 + m. Suppose y*l - 80 = 82. Does 17 divide l?
False
Let r(c) = c**2 - 2*c + 4. Let p be r(-6). Suppose 24 = -54*t + p*t. Let y = 52 + t. Is 20 a factor of y?
True
Let y(i) = 3*i**2 - 11*i - 34. Is y(-17) a multiple of 51?
True
Suppose 4*s + 302 + 430 = 0. Let a = -55 - s. Is a a multiple of 9?
False
Suppose -15*f + 420 = -0*f. Does 28 divide f?
True
Let w(j) = 144*j**2 + j + 46. Is 52 a factor of w(-5)?
False
Suppose -9 = -0*y + 3*y. Let h be (-4760)/(-42) + 4/y. Suppose 48 = 4*x - h. Is x a multiple of 40?
True
Let k(u) = -u**2 - 7*u + 8. Let v be k(3). Suppose 4*c = -h - 176, -h = -2*h. Let x = v - c. Is 7 a factor of x?
False
Let n = -614 - -754. Is n a multiple of 20?
True
Let a(b) = 93*b - 2. Let d be a(-4). Is d/(-18) + 6/27 a multiple of 7?
True
Suppose -w - 4*f + 18 = 0, -f = -w - 6*f + 19. Suppose -2*n - 4 = x + 7, 2*x - w = 5*n. Is -82*(n/(-8))/(-1) a multiple of 12?
False
Let z be -1*21/7 + 91*1. Let m = 104 - z. Does 3 divide m?
False
Suppose 0 = 4*q - h - 17, 5*q = -2*h + h + 28. Suppose 0 = -5*w - v + 14, 5*w - 17 = q*v - 3*v. Is (w/(-6))/(2/(-100)) a multiple of 12?
False
Let p = 48 + 638. Let r = -472 + p. Is r a multiple of 48?
False
Let p = -607 + 617. Let z be (-52)/(-14) + (-4)/(-14). Suppose l = -4*l + z*a + 10, 5*a - p = -5*l. Does 2 divide l?
True
Let n be (-4)/10 - (3591/(-35))/9. Does 3 divide 36 - (10 - n)/((-2)/6)?
True
Let o be ((-6)/4)/(24/(-80)). Suppose 0 = 2*n - 3*n + o*s + 18, 0 = n - 4*s - 15. Suppose -7*y = -n*y - 52. Does 6 divide y?
False
Let z(q) = -5*q**2 + 34*q + 31. Let n(x) = x**2 + x + 1. Let c(l) = 4*n(l) + z(l). Is 18 a factor of c(24)?
False
Let t(k) = 92*k**2 + 20*k - 80. Is t(4) a multiple of 46?
True
Let b(y) = 14*y**3 - y**2 - 2*y - 5. Is 24 a factor of b(3)?
False
Let o(c) = 5*c**2 - 3*c - 7. Let j(a) = -2*a - 8. Let g be j(-7). Does 14 divide o(g)?
False
Let t be 7 - (-306)/(-42) - (-10000)/14. Suppose -647 = -4*x - c, 0 = 3*x + 2*c - t + 225. Is x a multiple of 23?
True
Let y = -202 + 291. Is 3 a factor of y?
False
Let f(x) = 9*x**2 + 2. Suppose 45 - 20 = 5*q. Does 37 divide f(q)?
False
Suppose 33 = 5*t - 7. Suppose 0 = -t*m - 5 + 205. Does 25 divide m?
True
Let b(l) = 189*l - 91. Is 5 a factor of b(3)?
False
Let a(h) = 9*h + 42. Let y be a(-4). Is 24 a factor of 1407/6 + 0 + 9/y?
False
Let j = -218 + 367. Is j a multiple of 74?
False
Let n = 162 + -52. Suppose -2*c = 40 + 108. Let b = c + n. Does 11 divide b?
False
Let o(y) = -218*y + 5. Is o(-11) a multiple of 29?
False
Does 48 divide ((-40)/15)/((-14)/18543)?
False
Suppose 5*a - 9*a = 12. Is 20 a factor of (-4)/(-10) - (1188/10)/a?
True
Let f(l) = 5*l**2 + 51*l - 90. Is 18 a factor of f(-24)?
True
Let w = -31 - -51. Suppose -1147 = 14*m - 51*m. Let r = w + m. Is r a multiple of 17?
True
Suppose -3*h + 16 = 2*j + h, 0 = -2*h + 4. Suppose 0 = j*o + 28 + 36. Let i = 72 + o. Is i a multiple of 8?
True
Let k = -10 - 8. Does 17 divide ((-34)/(-3))/2*(k + 33)?
True
Is (6/18 + 4/6)*84 a multiple of 11?
False
Suppose -v + 0*v + 2 = 0. Let f be v/(-4)*(4 + -2). Is 10 a factor of (f - -4)*(16 - 3)?
False
Let g(h) = h**3 + 2*h**2 - h + 6. Let t be g(-6). Let q be t*3/9*-3. Let c = q + -68. Is 13 a factor of c?
False
Let p = 12 - 0. Suppose -6*l - p = -10*l. Suppose l*f + f = 40. Does 5 divide f?
True
Let w(i) = -i**2 + i + 2. Let t = -11 + 13. Let a be w(t). Suppose -4*v + 0*p - 3*p + 228 = a, -212 = -4*v + p. Is 19 a factor of v?
False
Let v = -130 - -131. Is 7 a factor of (-11 + v)*(3 + -7)?
False
Suppose 3*x + 2*p - 100 = 0, x - 40 = p - 0. Suppose 0*k = -4*k + 4*n + x, -5*n = -4*k + 34. Is 3 a factor of (-2)/(-4)*(1 + k)?
True
Let p(h) = -6*h - 3*h**2 - 14 + 5*h**2 - 10. Is 21 a factor of p(-6)?
True
Let v = 72 - 66. Is 36 a factor of ((-48)/(-8))/(v/80)?
False
Let i(c) = c**2 + 2*c - 24. Let f be i(-6). Suppose -4*n + 2*n + 5*z = -57, 2*n + z - 27 = f. Is 7 a factor of n?
False
Suppose 3*x = -3*n - 0 + 15, 5*n - 13 = -x. Suppose -215 = -3*w + 2*j, 0*w - n*w + 4*j = -130. Is 15 a factor of w?
True
Suppose -12*n + 15288 = 9*n. Is 9 a factor of n?
False
Suppose 5*z = -5*l + 20, 3*z = 2*l - 2 - 1. Suppose -p + z = -2*k + 148, -2*k = -3*p - 141. Is k/27 + (-4)/(-18) a multiple of 2?
False
Suppose -x + 2*q = -471, x - 11*q = -8*q + 468. Is x a multiple of 9?
True
Let v = 303 + -237. Does 11 divide v?
True
Let r = 655 + -381. Suppose 4*w = x + 277, -4*w + x + x + r = 0. Is 14 a factor of w?
True
Suppose n = l - 297, -752 = -5*l - 4*n + 688. Is l a multiple of 6?
False
Suppose 0 = -7*y + 14*y - 1827. Suppose 465 = 4*c + l - 565, 2*l = -c + y. Is 53 a factor of c?
False
Suppose t - 5*z - 74 = 0, -25 = -t + 2*z + 43. Let l = t - 22. Suppose 0 = 5*k + 2*j - 47, -2*k + 8*j = 3*j - l. Is k a multiple of 11?
True
Let p(h) be the first derivative of -3*h**2/2 + h - 4. Let t be p(1). Is 13 + t/(2/1) a multiple of 12?
True
Suppose -2*c = -y - 4*c + 3, 7 = y + 4*c. Is -15*4/(-12) - y even?
True
Let d be ((24/(-5))/(-2))/((-6)/30). Let b(i) = i**2 + 8*i - 24. Is b(d) a multiple of 8?
True
Let x = -109 + 733. Is 15 a factor of x?
False
Suppose -3*y - 6 - 9 = 0. Let k(p) = -p - 5. Let g be k(y). Suppose m - 4*b - 15 = 0, -3*m + 2*b = -g*m - 45. Does 5 divide m?
True
Let z(a) = -a**2 + 10*a - 16. Let g be z(7). Suppose -v - g = -4*i, -5*i + 7 + 9 = 2*v. Let k = 1 + v. Is 4 a factor of k?
True
Let k(d) = 3*d + 3. Suppose -36 = -8*n + 5*n. Is k(n) a multiple of 8?
False
Let u = 6082 + -4241. Is 62 a factor of u?
False
Suppose -6*u + 12 = -78. Does 11 divide 357/9 - (-5)/u?
False
Suppose -2*g + 14 = -0*g. Suppose 0 = -5*d + 9*d. Let j = g - d. Is 6 a factor of j?
False
Let f(i) = i**3 - 1. Let h(a) = 5*a**3 - 14*a**2 - 28*a + 3. Let p(w) = -6*f(w) + h(w). Does 19 divide p(-12)?
True
Let f(i) = i**2 - 6*i - 7. Let r be f(7). Suppose -5*d = -r*d - 15. Suppose 24 = d*m - 108. Does 5 divide m?
False
Let m = 1737 + 908. Does 60 divide m?
False
Suppose -4*w + 40 = -2*s, -4*w + 35 = -w - 4*s. Suppose -w = -5*x + 2*x. Suppose -n + 21 = -4*r, 0 = x*n - 2*r + 14 - 67. Is n a multiple of 7?
False
Let o(g) = -234*g + 27. Is 22 a factor of o(-2)?
False
Let j = 161 - -322. Does 23 divide j?
True
Suppose 0 = -2*o + 5 - 29. Does 4 divide o/(-20) - 74/(-10)?
True
Let f(p) = -3*p**2 + 5*p - 17. Let k(o) = -2*o**2 + 6*o - 16. Let h(g) = -4*f(g) + 5*k(g). Is h(-8) even?
True
Suppose 2*d + 2*d - 5*f = 32, -32 = -4*d + 4*f. Let r be (-6)/(-2)*105/63. Suppose r*v - 43 = -d. Is v a multiple of 7?
True
Let i = 496 + -556. Let f be (2*5)/1 - 1. Is 4 a factor of (i/f)/(2/(-6))?
True
Let v(j) = 756*j**2 - 11*j - 11. Is 12 a factor of v(-1)?
True
Suppose 0*w - 2*w = -4*p - 40, 0 = w - p - 17. Suppose -333 = -w*l + 11*l. Is 19 a factor of l?
False
Let l be (4/3)/((-4)/12). Let x be -3 - (-2)/l*-2. Is 3 a factor of 52/8 - x/(-4)?
True
Let c = -3821 - -6569. Is c a multiple of 12?
True
Let c(l) = 7*l**2 - 33*l + 33. Is 13 a factor of c(10)?
True
Is 2 a factor of (3 - 122/4)*20/(-25)?
True
Let m(k) = 2*k**3 + 114*k**2 + 107*k - 95. Is 5 a factor of m(-56)?
True
Let d(u) = -3*u + 27. Does 2 divide d(-30)?
False
Suppose 5*v + 36 = 5*m - 1104, -684 = -3*m + v. Does 12 divide m?
True
Suppose -7 = 2*s - 3, 3*n + 2*s - 188 = 0. Suppose n = y - 4*x, 17 = 5*y - 4*x - 223. Does 11 divide y?
True
Suppose d - 2 = 12. Is (-162)/36*d/(-3) a multiple of 7?
True
Suppose 0 = 5*d - 43 - 122. Let h = -26 + d. Does 3 divide h?
False
Suppose -6*l + 5*l + b = 58, 4*l + 222 = 2*b. Suppose -t + 5 = 5*h + 110, -5*h = -20. Let i = l - t. Is i a multiple of 18?
True
Let d = -40 - -61. Let o = d - -99. Is o a multiple of 12?
True
Let c = 2565 + -1913. Is 22 a factor of c?
False
Let y(r) = r**3 - 5*r**2 - 9*r - 5. Let m be y(8). Suppose -3*u = 4*t - m, 3*t + 78 = 2*u - 27. Does 15 divide u?
True
Let j be (-544)/8 - (0 - -3). Let a = j + 77. Does 6 divide a?
True
Let c(k) = 5*k + 146. Does 18 divide c(-22)?
True
Suppose -5*h = t + 2*t + 660, 4*t = 20. Let b = -65 - h. Is 9 a factor of b?
False
Let x be 4/(-14) - 120/21. Let o(w) = -w**2 + 24*w - 13. Let l(v) = v - 1. Let m(a) = x*l(a) + o(a). Does 12 divide m(7)?
False
Let d(g) = 46*g**2 + g. Let p be d(-1). Suppose 3*u = 2*t - 30 - 50, t = -u + p. Is 17 a factor o | {
"pile_set_name": "DM Mathematics"
} |
-1 - (-1 + -79)?
True
Suppose 0*o - 17 = 2*o - 5*v, 0 = -3*o - v + 17. Suppose 5*s - 1 = 9. Suppose 2*i + 8 = o*a, 2*i + s*a - 7 = 3*a. Does 2 divide i?
True
Is -66*(-4*1 - (-11 - 159/(-6))) a multiple of 11?
True
Let v be (-153 - (3 + -10))*2/(-4). Suppose -o + v = 9. Is 16 a factor of o?
True
Let d(b) = 13*b + 1. Let u(o) = -1 + 6*o - 19*o + 6*o. Let s(c) = 6*d(c) + 11*u(c). Is s(9) a multiple of 2?
True
Suppose 2*u + 12*b - 113482 = 15*b, -283705 = -5*u - b. Does 25 divide u?
False
Does 209 divide -11*(-1 - 810 - 48/8)?
True
Suppose 0 = -2*t - f + 8033, 3*t + f - 2644 = 9405. Is t a multiple of 10?
False
Suppose -t + 4491 = 9*r - 4*r, -4*t = -4*r - 17964. Is t a multiple of 3?
True
Let m be (-10)/1*1060/(-8). Let v = m + -805. Does 20 divide v?
True
Let o = 88 - 75. Suppose -14*q = -o*q - 33. Does 19 divide (253/q)/(3/18)?
False
Let j(a) = a**2 - 5*a - 9. Let m be j(-7). Suppose 0*q + 3*q - 3*i = m, -2*q = 4*i - 80. Suppose -5*d - 52 = -n + q, -188 = -2*n - 2*d. Is 16 a factor of n?
False
Let q(y) = -48*y**3 - 8*y**2 + 2*y + 18. Does 21 divide q(-5)?
False
Let t(g) = -3*g - 22. Let x be t(-11). Suppose 8*b - x*b - 30 = 0. Does 28 divide (-24)/b*(4 - 590/(-15))?
False
Let u(t) = -t**3 + 9*t**2 + 2*t + 4. Let r be 5 - (-1 - (4 - 5))/1. Let w be u(r). Is 73/3*w/19 a multiple of 42?
False
Let b be ((-15)/7)/(6/(-42)). Suppose -417 = -b*t + 3468. Is t a multiple of 44?
False
Suppose 57 + 19 = h + 4*g, 2*h - 4*g - 212 = 0. Is 26 a factor of 3/4 + 37368/h?
True
Let j = -17 + 21. Let r be 0*j/12*-3. Suppose -3*t + 2*t + 136 = r. Is t a multiple of 30?
False
Does 17 divide (-9476700)/(-434) + ((-1)/5 - 85/(-175))?
False
Let h(b) = 141*b + 3043. Is h(12) a multiple of 5?
True
Let u = 131 - 39. Suppose -u*o + 104*o = 4140. Is o a multiple of 23?
True
Let y = -83 - 14. Let m = -82 - y. Is (((-9)/2)/(-3))/(m/520) a multiple of 18?
False
Suppose 3*h + 4031 = o - 1720, -o + 5*h = -5757. Is o a multiple of 66?
True
Suppose 20 = 5*h - 4*o + 6*o, 5*o + 16 = 4*h. Suppose -h*x + 297 = 5*x. Is x a multiple of 7?
False
Suppose -226 = -2*z + c, -10*z + 13*z - 3*c - 339 = 0. Suppose x - 2*x - g = -z, -2*g = 4*x - 452. Is 4 a factor of x?
False
Let v be 186 - (8 - 0)*19/76. Suppose 4*u - v = -2*m, 14*m + 180 = 4*u + 18*m. Does 7 divide u?
False
Does 22 divide (-16 + 6 - -48020)*4/8?
False
Let v(o) = o**3 - 3*o**2 + 2*o. Let u be v(2). Suppose m - 7*m = u. Suppose m*h + 48 = 3*h. Is h a multiple of 12?
False
Let y(r) = -5 + 24*r + 4 - 19. Does 4 divide y(2)?
True
Suppose 225214 - 401283 = -170*f + 355521. Does 53 divide f?
True
Let s(w) = -12*w + 53 - 45 + 0*w**2 - 4*w**2 + 0*w + w**3. Let p be s(9). Let l = -164 + p. Is 47 a factor of l?
True
Let o(b) = 6*b + 33. Let g be o(-6). Let j be -32 + (-4 + -5)/g. Let n = 40 - j. Does 17 divide n?
False
Suppose -5*n + n + 155 = 3*j, -5*n = 3*j - 160. Let y = j + -40. Suppose 67 = d - y. Is d a multiple of 9?
True
Let n be (-1)/(3/(-288)) - (-2 + 3). Suppose -n = -w - 5*u, 465 = 4*w + 2*u + u. Suppose 0 = -p + 15 + w. Does 19 divide p?
False
Suppose 11*r = 7*r + 4. Let f be r + 32/4 + -4. Does 5 divide 28/6*(f + -4 - -2)?
False
Suppose -4*p + 33*s + 17892 = 29*s, 4*p = 2*s + 17886. Is p a multiple of 52?
False
Let j(s) be the third derivative of 13*s**5/2 - 13*s**4/12 - 4*s**3 + 40*s**2 + s. Is 21 a factor of j(-1)?
False
Let a(r) = 134*r**2 - 130*r - 37. Is 25 a factor of a(13)?
False
Let m(j) = j**2 + 10*j + 20. Let p be m(-8). Suppose -3*v - 5*z - 196 = -p*v, -2*v - 3*z = -392. Let x = v + -112. Does 14 divide x?
True
Let d(a) = 662*a + 78. Let n be d(10). Suppose 23*s - n + 1178 = 0. Is 40 a factor of s?
True
Suppose -z = -2*t + 8, t - 4*t + 4*z = -7. Suppose -v - 1 = -t. Let r = v + 6. Is 10 a factor of r?
True
Let g(r) = 25*r**3 - 91*r**2 + 268*r - 384. Let z(w) = -9*w**3 + 30*w**2 - 90*w + 128. Let b(c) = 4*g(c) + 11*z(c). Is 8 a factor of b(32)?
True
Let a = -91 + 91. Suppose -2*o + 4676 = 4*k, -4*o + a*o - 5858 = -5*k. Does 20 divide k?
False
Let v = 2380 - 2250. Does 8 divide v?
False
Let z = -68 - -136. Suppose 30 + z = 7*m. Is 2/m + (-1740)/(-70) a multiple of 3?
False
Let g(t) = t**3 + 10*t**2 + 15*t + 3. Let m be g(-8). Suppose m*d - 7*d = 380. Does 2 divide d?
False
Let y(p) = 19*p**3 + 4*p**2 - 2*p - 8. Let u be y(3). Suppose 3*i - 1073 = -4*q, -i = 2*q - 0*q - u. Does 28 divide q?
False
Suppose 5*a + 2*d = 13, -5*a - 3*d - 4 + 16 = 0. Suppose -5*p + 912 = 2*k, -5*k - a*p + 2404 - 105 = 0. Is k a multiple of 4?
False
Suppose a + 5*p = 275, -5*p + 575 = 15*a - 13*a. Does 6 divide a?
True
Let j = -90 + 117. Suppose j = 8*a - 7*a. Suppose -a*v + 15*v = -1020. Does 5 divide v?
True
Let p be (259/2 - -1)*36/54. Let n(b) = -b**2 + 2*b**2 + 100 - 18*b - b - p. Is 5 a factor of n(21)?
True
Suppose -37315 = -5*b - 2*w, -4*w = 2*b - 10915 - 3995. Is 46 a factor of b?
False
Does 21 divide ((-435)/(-30) - 15)*(2 + -15080)?
True
Suppose 5*t = 7*t - 4. Let x be ((0/3)/(7/(-7)))/(-2). Suppose -t*p - 4 = x, p + 131 = m - 2*p. Is 26 a factor of m?
False
Let w = 26731 + -9054. Does 11 divide w?
True
Let d(u) = -u**3 - 33*u**2 + 21*u + 53. Does 95 divide d(-44)?
True
Is (-11153)/(-3) + 26/(-39) a multiple of 9?
True
Suppose -8*s - 6 = -3*s + 3*a, -3*a - 6 = -5*s. Let n(i) = -i**2 + 32*i - 54. Let p be n(14). Suppose -p = -s*l - 6*l. Is 18 a factor of l?
False
Suppose -2614 - 2377 = 7*v. Let q be v/3 - ((-24)/9 - -3). Let z = q + 466. Does 12 divide z?
True
Let c = -2777 - -5172. Does 66 divide c?
False
Suppose 3*h - 3*z = -0*z + 786, 3*h = -3*z + 768. Let b = h - 39. Does 44 divide b?
True
Suppose 11 = -2*d - 19. Let s(c) = -3*c**2 + 45*c + 24. Let j(p) = 5*p**2 - 67*p - 37. Let i(k) = -5*j(k) - 8*s(k). Is 11 a factor of i(d)?
True
Let w(a) = -17*a - 24. Suppose -15*j = -13*j + 14. Let t be w(j). Suppose y - 66 = -5*u, 0 = 5*y - 3*u - 179 - t. Does 10 divide y?
False
Let k be 1*(-2 + -1) + 5. Let g be (-312)/182 - k/7. Let s(m) = 21*m**2 + 3*m + 3. Is s(g) a multiple of 27?
True
Let a = -20 + 9947. Is 8 a factor of a?
False
Let c = -11 + 15. Suppose 0 = t + c*t + 15. Does 36 divide (-437 + -1)/t + -2?
True
Suppose -3*s + 0 = 9, 2*u - 430 = 4*s. Suppose 6*f + u = 2*r + 3*f, -3*f = -3*r + 312. Is r a multiple of 13?
False
Let b(a) = a**2 + 19*a + 7. Let z be b(-19). Let n(j) = j**3 - 3*j**2 - 26*j + 7. Is 2 a factor of n(z)?
False
Let z = -591 - -593. Suppose -4*j = -3*a + a + 1080, z*a - 3*j = 1078. Is a a multiple of 67?
True
Let d(r) = r**3 + 3*r**2 - 10*r + 11. Let i be d(-6). Let b = i + 52. Suppose -119 = 14*w - b*w. Is 42 a factor of w?
False
Let w(n) = -2*n**3 + 59*n**2 + 42*n - 88. Is w(30) a multiple of 47?
False
Let x = -516 + 524. Suppose -4*z - 5*u = -1549, 2*z - 770 = 4*u - x*u. Does 23 divide z?
True
Let q(f) = 300*f + 17. Let h(a) = a + 2. Let x(d) = 2*h(d) - q(d). Does 48 divide x(-2)?
False
Suppose 4*o = -10 + 30. Let b be 7*(-7)/((-294)/12). Suppose -11 = -b*f + o. Does 8 divide f?
True
Does 3 divide (3 + (-18)/56 + (-6)/14)*4036?
True
Suppose 5*q = 3*n + 29339, 5*q + 3*n - 30118 + 797 = 0. Suppose 0 = -30*m - 826 + q. Is 24 a factor of m?
True
Does 9 divide (9360/(-1365))/(2 - 4664/2331)?
True
Let c(j) = 9*j - 2*j**2 + 54 + 4*j**3 - 28 - 24. Is c(3) a multiple of 7?
True
Does 7 divide 10/5 + -6 + -3 + 3913?
True
Suppose 162107 = 11*n - 39963. Is 22 a factor of n?
True
Suppose -w - 3*w + 6 = -5*q, -16 = 2*q - 5*w. Suppose -q*j = -3*n + j + 945, 2*n - 5*j = 630. Is 7 a factor of n?
True
Let p(w) = 49*w**3 - 4*w**2 + 43*w - 218. Does 68 divide p(5)?
False
Let s = -8554 - -8858. Is 4 a factor of s?
True
Suppose 2*u + 4*u = -7*u - 260. Let a(t) = 17 + 9 + 2*t + 38. Is a(u) even?
True
Let x = -443 - -452. Is 15 a factor of x - (-6)/((-24)/(-3964))?
False
Let m = -2307 + 2412. Is 5 a factor of m?
True
Let g(d) = 7*d**2 - 8*d - 2. Let v(k) = -6*k**2 + 9*k + 3. Let u(a) = a + 11. Let n be u(-5). Let r(o) = n*v(o) + 5*g(o). Is 18 a factor of r(9)?
False
Let q = 6417 + -5700. Is 8 a factor of q?
False
Let j = 2674 - -3653. Does 82 divide j?
False
Suppose 0 = p - 0*p - 3*m - 16, -3*p - 3*m = -96. Suppose -p*d - 20 = -33*d. Suppose 0 = 2*u + d*w - 0*w - 156, -w = 5*u - 417. Is u a multiple of 9?
False
Let y be 6 - (2 - 3/(-4 + 1)). Is 22 a factor of 6 + (-141)/(y/(-3))?
False
Let b(c) = 16*c + 852. Suppose 5*y - 20 | {
"pile_set_name": "DM Mathematics"
} |
l**5/16 + 13*l**4/6 + l**2/2 - 15*l - 5. Let z(i) be the third derivative of k(i). Factor z(y).
-(y - 45)**2/6
Suppose 0*z = 2*z - x - 3, -5*x = 3*z - 24. Suppose 3*o - 13 = -2*m, z*o - o = 6. Suppose -26 - 28 + 42 + 8*t + 4*t**m = 0. What is t?
-3, 1
Let a = 883 - 871. Let u be 7/28 - ((-27)/a + 2). Let -5/4*f**2 - 3/4*f**3 + u*f + 0 = 0. Calculate f.
-2, 0, 1/3
Let g(k) be the third derivative of -k**7/2520 - k**6/1080 - 9*k**3 + 80*k**2. Let w(c) be the first derivative of g(c). Factor w(q).
-q**2*(q + 1)/3
Suppose 393*h + 223 = 9262. Let v(a) be the second derivative of -1/2*a**4 - 1/14*a**7 - 3*a**2 + 0 + 5/2*a**3 + 2/5*a**6 - 3/5*a**5 - h*a. Factor v(z).
-3*(z - 2)*(z - 1)**3*(z + 1)
Let x = 890 + -1741/2. Let r = 79/4 - x. Factor 1/2 + r*p - 1/4*p**2.
-(p - 2)*(p + 1)/4
Let b(y) be the third derivative of -y**7/210 - y**6/5 - 17*y**5/15 + 10*y**4 + 18*y**2 - 4*y + 3. Suppose b(w) = 0. What is w?
-20, -6, 0, 2
Let f(l) = l**3 + 26*l**2 + 88*l + 3. Let v be f(-22). Factor -914 - 908 + 1802 + 5*y**v + 5*y**2 - 20*y.
5*(y - 2)*(y + 1)*(y + 2)
Let k(z) = -2*z**3 + z**2 - 1. Let c(r) = -87*r**3 + 123*r**2 + 68*r + 3. Suppose 0 = -23*w + 25*w - 10. Let s(p) = w*k(p) - c(p). Factor s(q).
(q - 2)*(7*q + 2)*(11*q + 2)
Let -88*w - 1128*w**2 + 90*w**4 + 113*w - 730*w - 735*w - 36*w**3 + 3*w**5 = 0. What is w?
-30, -2, 0, 4
Let t(s) be the third derivative of s**8/392 - 39*s**7/490 + 181*s**6/280 - 139*s**5/140 - 33*s**4/8 + 65*s**3/7 + 2*s**2 - 4660*s. Solve t(q) = 0 for q.
-1, 1/2, 2, 5, 13
What is q in -11245*q + 2505*q**2 - 879*q**3 + 4265*q**2 + 1690 + 23*q**4 + 7*q**4 + 34*q**3 = 0?
1/6, 2, 13
Let p(f) be the third derivative of f**7/735 - 9*f**6/140 - 76*f**5/105 - 3*f**4 - 128*f**3/21 - 8*f**2 + 302*f. Let p(r) = 0. What is r?
-2, -1, 32
Let h(r) be the first derivative of 14/15*r**3 - 16 + 72/5*r + 1/20*r**4 + 6*r**2. Determine j, given that h(j) = 0.
-6, -2
Find r such that -101*r + 273 + 251 - 29*r**2 + 435 + r**3 - 36*r - 794 = 0.
-5, 1, 33
Let v(x) be the second derivative of 15*x + 0*x**4 + 0*x**2 - 1/75*x**6 + 0*x**3 + 1/25*x**5 + 0. Suppose v(g) = 0. Calculate g.
0, 2
Let o(q) = -q**2 + 1. Let w(m) = -2*m. Let s(b) = 3*b**2 - 21*b - 22. Let n(u) = s(u) - 5*w(u). Let y(l) = n(l) + 4*o(l). Factor y(r).
-(r + 2)*(r + 9)
What is u in -17/5*u + 17/5*u**3 - 4/5*u**4 + 4/5 + 0*u**2 = 0?
-1, 1/4, 1, 4
Let a(m) = 13140*m**2 + 633*m - 25. Let k(x) = 8760*x**2 + 438*x - 17. Let n(c) = 5*a(c) - 7*k(c). Suppose n(j) = 0. Calculate j.
-1/20, 2/73
Let k = -74 - -76. Suppose -15 = -k*t - 11. Factor 2*s**2 + 10*s**t - 18*s - 27*s**2.
-3*s*(5*s + 6)
Let o(t) = -2*t**4 - t**2 - 2*t + 2. Let w(p) = -24*p**4 + 1110*p**3 + 799*p**2 - 330*p + 10. Let u(v) = 5*o(v) - w(v). Determine i so that u(i) = 0.
-1, 0, 2/7, 80
Let h = 16393/15 + -3278/3. Determine n so that -168/5*n - 7056/5 - h*n**2 = 0.
-84
Let q(u) be the second derivative of u**5/20 + 13*u**4/12 + 20*u**3/3 + 470*u + 2. Determine p, given that q(p) = 0.
-8, -5, 0
Let n(j) = -9*j**2 - 521*j - 496. Let m(c) = 55*c**2 + 3130*c + 2975. Let f(y) = 4*m(y) + 25*n(y). Suppose f(a) = 0. What is a?
-100, -1
Let x(z) be the third derivative of z**6/300 + z**5/10 - 231*z**4/20 + 4477*z**3/15 + 15*z**2 - 37. Factor x(t).
2*(t - 11)**2*(t + 37)/5
Let l(t) be the second derivative of t**5/130 + 23*t**4/39 + 349*t**3/39 - 396*t**2/13 - 2342*t. Suppose l(v) = 0. What is v?
-36, -11, 1
Let y(v) be the first derivative of 4*v**5/5 + 4*v**4 - 52*v**3/3 - 56*v**2 + 240*v + 1253. Factor y(s).
4*(s - 2)**2*(s + 3)*(s + 5)
Let n = -5 - -3. Let i be ((-2)/(-6)*n)/((-6)/819). Solve 22*w**3 - 72*w**2 + 91 + 10*w**5 - i - 54*w**4 + 78*w**3 + 16*w = 0 for w.
0, 2/5, 1, 2
Let h(m) be the first derivative of 4*m - 12 + 1/12*m**4 - 1/6*m**2 - 4/3*m**3. Find j, given that h(j) = 0.
-1, 1, 12
Let v(b) be the second derivative of -44*b**3 - 87*b - 3/100*b**5 + 0 - 43/20*b**4 + 726/5*b**2. Factor v(z).
-3*(z - 1)*(z + 22)**2/5
What is y in -177/5 + 53/10*y + 1/10*y**2 = 0?
-59, 6
Let f be (12/1200)/((-15)/(-25)). Let o(b) be the third derivative of -f*b**5 + 3*b**2 + 1/2*b**3 + 0*b + 1/12*b**4 + 0. Find d such that o(d) = 0.
-1, 3
Let w(n) be the third derivative of -1/10*n**5 - 1/6*n**4 - 1/30*n**6 - 1/210*n**7 - 1/6*n**3 + 0*n - 35 - 2*n**2. Factor w(h).
-(h + 1)**4
Let a(q) = 6*q**3 + 185*q**2 + 1115*q + 962. Let c(o) = -3*o**3 - 93*o**2 - 558*o - 480. Let i(h) = 6*a(h) + 13*c(h). Factor i(t).
-3*(t + 1)*(t + 6)*(t + 26)
Let x(z) be the first derivative of 22*z**2 + z**4 + 78 - 28/3*z**3 - 20*z. Find l such that x(l) = 0.
1, 5
Let n(u) be the third derivative of -8*u**2 + 0 - 1/390*u**5 - 19/13*u**3 + 29/78*u**4 - 2*u. Factor n(l).
-2*(l - 57)*(l - 1)/13
Let t be -17 + (10/8 - (-148274)/8568). Factor -2/9*j**2 + t*j - 8/3.
-2*(j - 4)*(j - 3)/9
Let j(s) be the second derivative of 3*s**5/40 + 17*s**4/8 - 16*s**3 - 60*s**2 - 2*s - 128. Factor j(k).
3*(k - 4)*(k + 1)*(k + 20)/2
Let v(k) = k**2 - 14*k + 16. Let f be v(13). Let r(h) = h + 1. Let n be r(-1). Factor -4*b - 6*b**4 + 9*b**2 - 3*b**4 + f*b**3 + n*b**3 + b.
-3*b*(b - 1)*(b + 1)*(3*b - 1)
Let q(z) be the first derivative of 5/12*z**4 - 52 + 47/9*z**3 - 20/3*z - 16/3*z**2. Let q(w) = 0. What is w?
-10, -2/5, 1
Let m be (-1)/((-14)/(-882)) + 63. Find k such that 0 - 3/2*k**3 + 0*k**2 + m*k**4 + 3/2*k**5 + 0*k = 0.
-1, 0, 1
Suppose 218*r = 211*r + 14. Solve 16*y - y**2 - 33 - 13*y - 3 + 4*y**r = 0.
-4, 3
Let y(i) = 60*i**2 - 200*i - 660. Let o(z) = -49*z**2 + 200*z + 657. Let m(k) = 5*o(k) + 4*y(k). Determine w, given that m(w) = 0.
-3, 43
Let z(n) be the second derivative of 5/2*n**3 + 3*n**2 + n**4 + 190*n + 0 + 3/20*n**5. Factor z(y).
3*(y + 1)**2*(y + 2)
Let g(l) be the second derivative of 0*l**2 - 13*l + 2/135*l**6 + 1/27*l**4 + 4/45*l**5 - 4/9*l**3 + 0. Determine o, given that g(o) = 0.
-3, -2, 0, 1
Let i(u) be the third derivative of -u**7/840 + u**6/24 - 53*u**5/240 - 85*u**4/48 - 4*u**3 + 2*u**2 - 6*u - 7. Factor i(w).
-(w - 16)*(w - 6)*(w + 1)**2/4
Let x(k) be the third derivative of -k**6/120 + k**5/30 - k**4/8 - k**3 + 64*k**2. Let u(d) = d**2 + d. Let h(f) = -40*u(f) + 5*x(f). Find l such that h(l) = 0.
-3, -2, -1
Let v = 6098425/3 + -2032807. Determine a so that 4/3 - v*a**2 + 2/3*a**3 - 2/3*a = 0.
-1, 1, 2
Let l be (37 - (-9)/(-9))/2. Suppose -l = -4*d + 54. Solve -162/13*o**4 + 0 - d*o**3 - 80/13*o**2 - 8/13*o = 0.
-1, -2/9, 0
Let v = 14/35965 - -14372/35965. Suppose 2*a + 44/5*a**2 - 28/5 - v*a**5 - 16/5*a**4 - 8/5*a**3 = 0. What is a?
-7, -2, -1, 1
Let h(a) be the third derivative of a**6/240 + a**5/15 + a**4/3 - 4*a**2 + 74. Solve h(b) = 0 for b.
-4, 0
Suppose 3*m - 4*o + 46 = 0, -18 = 3*m - 16*o + 19*o. Let g be 1/((-84)/(-56) - m/(-16)). Factor -4/7*x**4 + 0 + 0*x + 0*x**2 - g*x**3.
-4*x**3*(x + 2)/7
Let g be (0 + 6/(-5))/(-73 - 83880/(-1152)). Solve g*s - 64/5 + 4/5*s**3 + 28/5*s**2 = 0.
-4, 1
Suppose 3244*i + s - 5 = 3239*i, -4*s = -i - 20. Let n(j) be the first derivative of i*j**2 - 64/3*j**3 - 8*j**4 + 0*j - 45 - 4/5*j**5. Factor n(y).
-4*y**2*(y + 4)**2
Suppose 0 = 5*p - 5*t + 10, 25 = 5*p + 7*t - 5*t. Let g(y) = 5*y**2 + 100*y + 2595. Let x(o) = 2*o**2 - o - 3. Let n(m) = p*g(m) - 6*x(m). Factor n(v).
3*(v + 51)**2
Suppose -168*m**2 + 5*m**3 + 7*m**3 - 14*m**3 + 168 + 701*m - 699*m = 0. Calculate m.
-84, -1, 1
Let q(r) be the third derivative of -r**5/12 - 1435*r**4/24 - 475*r**3 - 1651*r**2. Factor q(x).
-5*(x + 2)*(x + 285)
Let v be 1342/(-198) - -10 - 2/9. Let g(r) be the third derivative of -5/6*r**v + 0*r + 0 - 1/300*r**5 + 9*r**2 - 1/12*r**4. Factor g(k).
-(k + 5)**2/5
Let o(u) be the first derivative of -u**4/26 + 298*u**3/39 + 1240*u**2/13 + 5024*u/13 + 3747. Factor o(l).
-2*(l - 157)*(l + 4)**2/13
Let w be ((-8)/(-6))/(6*1/63). Let d be 12/w - ((-36)/(-42))/(-3). Find j such that -2/7*j**2 - d + 10/7*j = 0.
1, 4
Let t(y) be the first derivative of y**8/1890 - 19*y**7/1260 + 7*y**6/54 - 49*y**5/540 - 30*y**3 - 99. Let g(c) be the third derivative of t(c). Factor g(w).
2*w*(w - 7)**2*(4*w - 1)/9
Let i = 31 - 29. Let -32*m - 6*m**4 - 26*m**3 - 22*m**2 - 2*m**3 - 8 - 21*m**2 - 3*m**i = 0. What is m?
-2, -1, -2/3
Suppose -3*j + 3*n - 6 = 0, -2*j + n = j - 2. What is a in 7*a - a**j - 4*a + 6*a**2 + 0*a**2 = 0?
-3/5, 0
Let m(l) be the secon | {
"pile_set_name": "DM Mathematics"
} |
8) - (sqrt(108) + 1 + -1)**2))*-2.
-208 + 12*sqrt(3)
Simplify (2*(0 + sqrt(475) + (sqrt(475) - (5 + 1 + sqrt(475)))))**2.
-240*sqrt(19) + 2044
Simplify 2*(-5*sqrt(85)/((sqrt(5) + sqrt(25)/sqrt(5))*6))**2.
425/72
Simplify (3*(sqrt(192) - (4 + sqrt(192) + -1 + sqrt(192))))**2 - (sqrt(3)*-1*3 + (sqrt(24)*-1)/sqrt(8) + 4).
436*sqrt(3) + 1805
Simplify (sqrt(128) + ((sqrt(128) - (sqrt(128) - (sqrt(128) - 2*sqrt(128)*3 - sqrt(128))))**2 - sqrt(128)) - sqrt(128) - 6*(sqrt(128) + 3)**2) + -1.
-296*sqrt(2) + 3785
Simplify 5 + (5 + 3 + sqrt(117) - (sqrt(13) + 2 + -4 + 4*-1*sqrt(13) + sqrt(13))**2).
-43 - 5*sqrt(13)
Simplify -2 + -1*sqrt(147) + sqrt(147) - (5 + (sqrt(6)/sqrt(72))**2).
-85/12
Simplify (6*((sqrt(104) - (sqrt(104) + (sqrt(104) - -1*sqrt(104))))*-4)/(sqrt(72)*5)*-3)**2.
29952/25
Simplify (-1*(-2*sqrt(104)*-1 - sqrt(104))/(-1*sqrt(800)))**2.
13/100
Simplify ((sqrt(234) - (sqrt(234) - sqrt(234)*-2))/(4*sqrt(162)))**2.
13/36
Simplify (-3 + sqrt(567)*-1)**2 + 2*(1 + sqrt(567) - sqrt(567))**2.
54*sqrt(7) + 578
Simplify 5 + (sqrt(192) + -1 + 2 - sqrt(192) - (-3*(0 + sqrt(192)) - sqrt(192)))**2.
64*sqrt(3) + 3078
Simplify -6*((sqrt(1700)*-4)**2 + sqrt(1700)) + -2 + (sqrt(17) - (sqrt(136)/(sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)) + sqrt(17))).
-163202 - 181*sqrt(17)/3
Simplify 2 + (1*(sqrt(252) - (sqrt(252) + -3))*1)**2.
11
Simplify ((2*1*sqrt(1216))**2 - (sqrt(1216) - (-1 + (sqrt(1216) - (-3 + sqrt(1216)))))) + 0.
-8*sqrt(19) + 4866
Simplify (-6*(sqrt(684)*2 + 0 + (sqrt(684) + 0)*-1)*-4)**2.
393984
Simplify 3 + 1 + (5 + (5 + (sqrt(325) - (-1*sqrt(325) + sqrt(325))))**2)*2.
100*sqrt(13) + 714
Simplify (sqrt(156)*-4*-3)/((2*sqrt(24))/sqrt(2)).
6*sqrt(13)
Simplify ((sqrt(153) - (sqrt(153) + sqrt(153)*-2 + -4)) + -4 + (sqrt(153) - (sqrt(153) + -1 + 5)) + 6*((sqrt(153) - sqrt(153)*2) + sqrt(153)))**2*4.
-192*sqrt(17) + 2512
Simplify (2*(4 + (sqrt(153) + (sqrt(153) + 1 + -3*sqrt(153) + sqrt(153) - sqrt(153)))*1 + -1))**2.
-96*sqrt(17) + 676
Simplify -2 + (sqrt(77) - 2*sqrt(77))/sqrt(7) - ((sqrt(11)*2*3)**2 + 0).
-398 - sqrt(11)
Simplify (sqrt(2057) - -1*sqrt(2057)*-3) + sqrt(2057)*-3*-5.
143*sqrt(17)
Simplify ((sqrt(1980) + -4*sqrt(1980))*-2 + sqrt(1980))/((sqrt(30) + 2*sqrt(1920))/sqrt(6)).
42*sqrt(11)/17
Simplify (1*(sqrt(147)*2*5 - (-1 + sqrt(147) + 2)) + 4 + 3)**2.
756*sqrt(3) + 11943
Simplify (sqrt(40)/(-1*-2*sqrt(10)))/((sqrt(288) - sqrt(288)*4)*-5).
sqrt(2)/360
Simplify (sqrt(468) - (sqrt(468) + sqrt(468) + 2))**2 + -5 + ((sqrt(26) - (2*sqrt(130))/sqrt(5)) + sqrt(26))/sqrt(2).
24*sqrt(13) + 467
Simplify -1*(sqrt(100)/sqrt(5))/sqrt(10) - sqrt(18)/(sqrt(9)*2)*-4.
sqrt(2)
Simplify -2*(sqrt(1300)*1 + 3)*6 + -2.
-120*sqrt(13) - 38
Simplify sqrt(30)/(sqrt(36)/(-3*sqrt(6))) - (3 + sqrt(5)*4)*-3.
9 + 9*sqrt(5)
Simplify ((sqrt(17) + ((-1*sqrt(17) + 3)**2 - sqrt(17)) - sqrt(170)/(sqrt(10)*1)) + ((sqrt(153)*2)/sqrt(9) + 4 + sqrt(17)*-1)**2)*2.
2*sqrt(17) + 118
Simplify 4 + (sqrt(2) - (sqrt(18)/(sqrt(45)/sqrt(5)))**2) + 0 + sqrt(162) + sqrt(18) + -4.
-2 + 13*sqrt(2)
Simplify (6*(-1 + sqrt(320)))**2 - sqrt(35)/(sqrt(1008)*3).
-20737*sqrt(5)/36 + 11556
Simplify (sqrt(50) - (sqrt(50) - sqrt(800))*-5)/(sqrt(20)/sqrt(2)*4)*4.
-14*sqrt(5)
Simplify 1*(-2 + -1 + sqrt(208) + -3 + (-3*sqrt(1053))**2).
4*sqrt(13) + 9471
Simplify 6*((sqrt(76) + sqrt(76)*5)*-3 + sqrt(76))/(-4*sqrt(484)).
51*sqrt(19)/22
Simplify 2 + -5*(3 + -6*(1 + sqrt(2) + sqrt(2))) + -4.
13 + 60*sqrt(2)
Simplify ((sqrt(20) - (-2*sqrt(80)/sqrt(4) - sqrt(20)))*6)/(sqrt(110)/(sqrt(1100) + 1*sqrt(1100))).
480*sqrt(2)
Simplify (1 + -6*(sqrt(112) + -1 + sqrt(112))*1)**2.
-672*sqrt(7) + 16177
Simplify (-4 + (0 + 2*sqrt(245) - (1 + -2*sqrt(245))))**2 + 1 + 2.
-280*sqrt(5) + 3948
Simplify (((sqrt(378) + (sqrt(378) - ((sqrt(378)*-3 - sqrt(378)) + sqrt(378))) + sqrt(378))*5 - sqrt(378) - sqrt(378))/(-3*sqrt(6)*-2))**2.
1372
Simplify ((sqrt(300) + sqrt(300)*2)*5 + sqrt(300) - (-2*(-1 + sqrt(300)) + sqrt(300)))**2*3.
-2040*sqrt(3) + 260112
Simplify (sqrt(475) - (-1 + sqrt(475))**2 - sqrt(171)*-3) + (((-1*sqrt(931))**2 - sqrt(931)) + sqrt(19) - (-5 + sqrt(19) + -1 - sqrt(19))) + 3.
18*sqrt(19) + 464
Simplify (sqrt(126)/(-2*sqrt(7)))/((sqrt(72)/sqrt(2))/sqrt(4)).
-sqrt(2)/2
Simplify sqrt(500)/sqrt(160) + sqrt(800) + 0 + sqrt(800) + -3 + 5.
2 + 165*sqrt(2)/4
Simplify 2*(-2 + (sqrt(75)*-2)**2)*6.
3576
Simplify 5*sqrt(5)*-1*5 - (sqrt(4860) - sqrt(4860)*2)/sqrt(12).
-16*sqrt(5)
Simplify ((sqrt(567) - (sqrt(567) - -2*sqrt(567) - sqrt(567))*-4 - sqrt(567)) + sqrt(567))/(-6*sqrt(144) + sqrt(9)*-2*5).
-27*sqrt(7)/34
Simplify 0 + 4 + 2 + sqrt(68) + (sqrt(68) - (-1 + sqrt(68) + -2)).
2*sqrt(17) + 9
Simplify (sqrt(99) + (5*(sqrt(99) + sqrt(99)*2) - sqrt(99)))/(sqrt(441) + sqrt(441)*-3) + 1.
-15*sqrt(11)/14 + 1
Simplify 2*((sqrt(162)/sqrt(3))/sqrt(2) + -4 + -2).
-12 + 6*sqrt(3)
Simplify (1*(2*sqrt(2240) - sqrt(2240)))/(sqrt(605)*1 + -1*sqrt(245) + sqrt(245)) + 4.
8*sqrt(7)/11 + 4
Simplify 5*(3 + 2*(sqrt(162) - 3*sqrt(162)))**2.
-1080*sqrt(2) + 13005
Simplify (-1 + -1 + sqrt(275) + sqrt(275) + -1 + 2*sqrt(275) + 4)**2.
40*sqrt(11) + 4401
Simplify ((sqrt(1815)*-2*3)/(sqrt(147)*1*-5))**2.
4356/245
Simplify 2*sqrt(304)*3*-4 - ((sqrt(304) + 0 + sqrt(304) + 1)**2 + 1*sqrt(304)*-6).
-1217 - 88*sqrt(19)
Simplify 4*(sqrt(76) - (sqrt(76) + sqrt(76) + 1*sqrt(76)*-1))/((1*sqrt(24))/sqrt(6)).
0
Simplify (sqrt(27)*1)/sqrt(9) - (sqrt(432) + sqrt(432) + -1 + sqrt(432)) - (((sqrt(243)*1 + sqrt(243))*-3)**2 + sqrt(243) + (-1 + sqrt(243) - sqrt(243)) + -4).
-8742 - 44*sqrt(3)
Simplify -1 + (sqrt(6)/sqrt(2))**2 + sqrt(3) + 4 + (sqrt(108) - sqrt(108)*-1)**2 + -2.
sqrt(3) + 436
Simplify (4*(sqrt(108) - (sqrt(108)*-3 + sqrt(108)))/sqrt(6))/(-6*2*sqrt(36)).
-sqrt(2)/2
Simplify (-1*(-5*(-3 + sqrt(1584)) + -2 + 1))**2*2.
-3360*sqrt(11) + 79592
Simplify (-4*(-3 + -1 + sqrt(539) + sqrt(539))*-4)**2.
-28672*sqrt(11) + 556032
Simplify (sqrt(3) + 6*(sqrt(6)/sqrt(2) - sqrt(3)) + sqrt(33)/(sqrt(66)/sqrt(6)))**2 + (sqrt(3) + sqrt(108) + -1 + (-2*sqrt(3) + 5 - sqrt(3)))**2.
32*sqrt(3) + 76
Simplify (sqrt(1584)*2*-2 + 2 + sqrt(1584)*-2)**2*4.
-1152*sqrt(11) + 228112
Simplify 0 + (sqrt(45))**2 - 2*-1*sqrt(5) - (((sqrt(225)/sqrt(5))**2 - sqrt(5)) + -1).
1 + 3*sqrt(5)
Simplify (6*(sqrt(875) - 1*sqrt(875)*3)/(sqrt(448) - (-6*sqrt(448)*2 - sqrt(448))))**2.
1125/784
Simplify ((sqrt(209)*-2 + sqrt(209) + sqrt(209))*4 - (sqrt(209) + sqrt(209)*-1*1))/((sqrt(11) - 2*sqrt(11))*1*2).
0
Simplify ((-1 + 2*sqrt(288) + 4*-1*sqrt(288))**2 - (sqrt(288)*-2*-1 + -1))*2.
48*sqrt(2) + 2308
Simplify (sqrt(637)*-4)**2 + -5 + 6*(-3 + sqrt(637))**2.
-252*sqrt(13) + 14063
Simplify (((sqrt(3) - sqrt(108)) + sqrt(3))*-5 + (-2 + sqrt(21)/sqrt(7) - sqrt(3)))*-1.
-20*sqrt(3) + 2
Simplify ((sqrt(114)*-2*-2)/(sqrt(6) + (sqrt(6) - sqrt(54)*-5))*2)**2.
1216/289
Simplify ((sqrt(44) + sqrt(484)/(-1*sqrt(11)))*-4)/(sqrt(400)*-2*4).
0
Simplify (1*(sqrt(2299) + 1 + sqrt(2299)*3) + 1)**2.
176*sqrt(19) + 36788
Simplify (-1 + sqrt(63)*2 + (sqrt(126)/sqrt(2))/sqrt(9))*6*3.
-18 + 126*sqrt(7)
Simplify -2 + -3 + 2*(sqrt(17) - sqrt(17)*1) + sqrt(17) + ((sqrt(2057)*-3)**2 - sqrt(2057) - sqrt(17)) + -3.
-11*sqrt(17) + 18505
Simplify -1 + 2*((-1*sqrt(1008) - sqrt(7)) + 1*sqrt(567))*4.
-32*sqrt(7) - 1
Simplify 5 + -3*((sqrt(2736) + -2)*-6 - (3 + -1*sqrt(2736))**2).
8204
Simplify ((-1 + 2 + sqrt(1872))*-5 - (-1 + sqrt(1872) + 0 + -5))**2.
-144*sqrt(13) + 67393
Simplify ((sqrt(272) + 2)*6 + (3 + sqrt(85)/sqrt(5) + sqrt(17) - sqrt(17) - (sqrt(153) + -1)))**2.
704*sqrt(17) + 8484
Simplify (2*sqrt(3240) + -1*sqrt(1440))/(6*1*sqrt(72)).
2*sqrt(5)/3
Simplify (2*(sqrt(1100) + -1)*-5 + 1 + 2)**2.
-2600*sqrt(11) + 110169
Simplify (sqrt(84)*5)/((sqrt(252)/sqrt(4))/sqrt(9)).
10*sqrt(3)
Simplify (sqrt(252)/(sqrt(7)*1))/sqrt(12) + ((sqrt(243) + 1)*2)**2.
73*sqrt(3) + 976
Simplify ((2*sqrt(120))/sqrt(4) + 4*(sqrt(30)*1 + sqrt(30)))/((sqrt(42)/(sqrt(7)*1) + sqrt(6))*5).
sqrt(5)
Simplify (-3*(sqrt(85) - 2*sqrt(85)*-3))/(4*sqrt(500)*-2).
21*sqrt(17)/80
Simplify ((sqrt(2057) + (2*sqrt(2057) + -1 - sqrt(2057)))*1 - (((sqrt(2057)*-2*5 - sqrt(2057)) + sqrt(2057) - sqrt(2057)) + 1))**2.
-572*sqrt(17) + 347637
Simplify -6*((sqrt(130)*-1 + sqrt(130))*-1)/(sqrt(1210) - sqrt(1210)*-3).
0
Simplify (2*sqrt(1573) + 3)**2 - 1*((sqrt(1573) + 1)**2 | {
"pile_set_name": "DM Mathematics"
} |
be u(7). Let j = 5 - i. Let l(n) = -n**3 + 13*n**2 - n + 17. What is the lowest common multiple of l(13) and j?
8
Let m be (-4)/10 - 473/5. Let c = -12221/3 + 4068. Find the common denominator of (0 + -3)/((-35)/m) and c.
21
Let j be 2 + (-18 - -14) + (-1798)/(-887). Let o = j + -79375/15966. Calculate the common denominator of o and -56/9.
18
Suppose -2*z - 164 = 2*z. Let s = z - -71. Let x(m) = -m**3 + 7*m**2 - 8*m - 7. Calculate the lowest common multiple of x(5) and s.
30
Let m = -377 - -594. Let k = -187 + m. What is the smallest common multiple of 4 and k?
60
Suppose -68*z = -44*z - 13824. What is the lowest common multiple of z and 32?
576
Let k(f) = f**3 - 55*f**2 + 6*f - 327. Calculate the lowest common multiple of k(55) and 927.
927
Let b be (16/(-24))/(3/(-18)). Suppose b*m = 8*m - 12. Suppose 3 + 16 = m*j + h, 4*h - 28 = -4*j. Calculate the least common multiple of 10 and j.
30
Find the common denominator of (1 + 150/12)*(-6)/(-381) and 31/6.
762
Let n = -273 + 238. What is the common denominator of 33/97 and (-20)/n*(-1 + 94/(-8))?
679
Suppose 2*m + 23 = 5*h, -2*h + 3 = -5*m - 2. What is the smallest common multiple of m and ((-4)/(-3))/(10/105)?
14
Let x = -7864 + 7894. Calculate the least common multiple of 1620 and x.
1620
Let f = -4871/46332 - -25/324. Calculate the common denominator of 151/234 and f.
2574
Let m be (-2)/(-5) - (-48)/(-20). Let n(v) = -3*v**3 - 4*v**2 - 3*v - 2. Suppose -10 = 4*z - 46. What is the smallest common multiple of n(m) and z?
36
Let g = -7044 + 7074. Let m(c) = -c**3 - 7*c**2 + 9*c + 11. Let q be m(-8). Calculate the lowest common multiple of q/(2 - (-9)/(-5)) and g.
30
Let f = 4115/6128 - -54/383. Calculate the common denominator of -27/556 and f.
2224
Let z = 48702 - 7013039/144. Calculate the common denominator of z and 125/192.
576
Suppose 80*j - 77*j = -180. Calculate the common denominator of (-5)/(j/8) + (-909)/(-540) and 2*(-1 - 22/8).
20
Suppose 8*p = 3*p - 3*b - 35, -3*p = -3*b - 3. Suppose -1010 - 740 = 25*v. Calculate the common denominator of -5/4 and (-102)/p*v/(-42).
4
Let r = -10819/380 - -426/19. Let c = 40 - 26. Find the common denominator of r and ((-1)/(-2))/(c/(-142)).
140
Suppose 130*b + 576 = 142*b. Calculate the smallest common multiple of b and 684.
2736
Let s(o) = 4*o**2 - 2. Suppose 7*p = 4*p - 3. Let j be s(p). Suppose 4*n + j*g - 90 = 0, -4*n + n + 57 = 5*g. What is the lowest common multiple of n and 18?
72
What is the lowest common multiple of 9 - -21 - (-32 + 10) and 70?
1820
Suppose -1356 = -4*x - 3*b, 2*b + b = 2*x - 696. Calculate the least common multiple of x and 108.
2052
Suppose -240*k + 1163820 = -2*k. Calculate the smallest common multiple of k and 16.
39120
Suppose 0*g - 6*g = 12. Let f be (5 - g) + 0*(-4)/12. Calculate the common denominator of ((-204)/(-30) - f) + (-994)/80 and -11/38.
152
Suppose 4*t = -20, t - 3*t = -4*g - 38. Let o(w) = 2*w**3 + 16*w**2 + 3*w + 26. What is the lowest common multiple of o(-8) and (-7)/(-3) + (-8)/g?
6
Let b be (-10)/(-4)*(-16)/(-40). Find the common denominator of -23/2 and 12/((-25056)/(-60))*(-11)/b.
174
Calculate the lowest common multiple of (0 - 6) + (64736/(-17))/(-28) and 520.
520
What is the lowest common multiple of (-5414 + -2)*(-16)/64 and 20?
13540
Let h be 14/(3/((-9)/2)). Let l = -19 - h. Let z(v) = -v**2 - 11*v - 29. What is the smallest common multiple of z(-6) and l?
2
Suppose -6*a + 11*a - 3*u = -7, -2*u = -2*a - 6. Suppose 0 = -21*w + 22*w + 2*i - 35, 0 = -2*w + 2*i + 100. What is the smallest common multiple of a and w?
45
Let h = -167 + 5373/32. What is the common denominator of 11/1576 and h?
6304
Let p be 2034/(-14) - (-2)/7. Suppose 0 = -53*d + 65*d + 1344. Let c = d - p. What is the smallest common multiple of 3 and c?
33
Let y(l) = -l**2 + 16*l - 32. Let x be y(13). Calculate the lowest common multiple of -5 + 10 - x - -22 and 35.
140
Let h = -1095/1729 - -53/266. What is the common denominator of h and 103/416?
2912
Let u be 14/(-5)*5*3. Suppose 291 - 189 = 2*c. Let h = u + c. Calculate the lowest common multiple of 7 and h.
63
Suppose -28*t = 10*t - 570. What is the least common multiple of t and (-4)/(-10) + 365/25?
15
Let l = -17 - -19. Find the common denominator of (21/(-84))/(18/(-848)) + -5 and (-4)/(((-312)/(-76))/l).
117
Let j(i) = 4*i**2 - i + 2. Let q be j(-8). What is the lowest common multiple of 1 and (-68)/(-510) - q/(-30)?
9
Let h(u) = -u**3 + 14*u**2 + 36*u - 24. Suppose 3*s - 19 - 2 = -3*y, -5*s - 45 = -5*y. Calculate the least common multiple of y and h(16).
40
Suppose 37*h - 5*h + 5824 = 0. Calculate the common denominator of 430/h - (4 - 7) and 53/91.
91
Let m(n) = -10*n**2 - 17*n**2 + 22*n**2 + 3 + 34*n + 8. Calculate the lowest common multiple of 12 and m(7).
12
Let t(p) = -2*p**3 + 14*p**2 - 17*p - 8. Let w be t(6). What is the common denominator of ((-3)/(-36))/(1/29) and (2/264)/(w/(-6042))?
132
Let k = -9856066737758 - -32570121595992890341/3304576. Let d = -2/25817 + k. Find the common denominator of d and 87/28.
896
Suppose 3*d = 2*d + 5*v + 50, 4*v - 248 = -4*d. Find the common denominator of -6 + 3 - (-666)/d and 4/8 + (-62)/(-3).
30
Suppose -200 = -y - 9*y. Let u = -19 + 14. What is the lowest common multiple of (-1)/(7 + -3 + u) and y?
20
Suppose -4*p + 2*h = 14, -2*p + 11 + 0 = 5*h. Let y(g) = 7*g**2 + 5*g + 4. What is the lowest common multiple of 4 and y(p)?
44
Let l(p) = 18*p + 1988. What is the smallest common multiple of l(35) and 2?
2618
Find the common denominator of -53/992 and 2/12 - (-26709)/(-33408).
3968
Let n = 24 - 11. Let a = 5367 - 5365. Calculate the smallest common multiple of n and a.
26
Let k = 96 + -63. What is the least common multiple of (-16)/88 - (-336)/k and 9 + -1*2/2?
40
Calculate the lowest common multiple of (256/96)/((4 - 3 - -1)/54) and 120.
360
Suppose -198 = -2*a + 4*s, 0 = -3*a - 3*s + 563 - 212. Calculate the smallest common multiple of a and 296.
888
Let p = 1666 - 1665. Calculate the lowest common multiple of p and 1252.
1252
Let o be (14/12)/(-7) + 464377/(-2610). Let m = o + 2696/15. What is the common denominator of 29/5 and m?
45
Let h = -123/95255 - 7925217/1165540180. Find the common denominator of h and 57/14.
12236
Suppose 209*n + 16435 = 92238 + 13649. Suppose 0 = 3*d, q - 3*d = 4 - 1. Calculate the least common multiple of n and q.
1284
Let c(q) = q**3 + 20*q**2 - 2*q - 25. Let r(y) = -6*y - 87. Calculate the least common multiple of c(-20) and r(-18).
105
Let h = -2218113/1144 - -26752314311/13676520. Let i = h - -2/3985. What is the common denominator of i and 67/92?
276
Suppose 3035 = 5*p + 3*z - 4225, -4*p + 4*z + 5776 = 0. What is the least common multiple of 1610 and p?
14490
What is the least common multiple of 445 and ((-735)/(-63))/(5/15)?
3115
Suppose 28241 = -29*p + 31692. What is the lowest common multiple of p and 204?
1428
Suppose 0*f + f - 216 = 2*c, -f + 5*c = -231. Let q = f + -194. Calculate the lowest common multiple of (-19)/(-1) + 1 + 1 and q.
84
Let c = 2599 + -2595. Suppose -3*m - 9 = 4*x + 30, 12 = -4*x. Let b(t) = -t + 7. What is the least common multiple of c and b(m)?
16
Suppose -1328*h = -1330*h - 212 + 1172. Calculate the least common multiple of 40 and h.
480
Let d(c) = -150*c + 5913. Calculate the smallest common multiple of 18 and d(27).
3726
Let k be (-3718)/(-15) - (-10)/75 - -2. Find the common denominator of -11/34 and (4450/k)/(14/(-5)).
238
Let j(d) = -3*d + 42. Let t be j(13). Suppose -t*l + 12 - 3 = 0. Let r = -12 + 28. Calculate the lowest common multiple of l and r.
48
Suppose -3*i + b + 3310 = 0, -b + 6 = 1. Let f = 5506/5 - i. Find the common denominator of 2/(441/(-129) - -3) and f.
45
Let l = -1/6921 + -671317/138420. Calculate the common denominator of l and (-63)/(-155)*150/60.
620
Let j(l) = l**2 - 34*l - 46. Let y be j(-14). Let a = y + -3761/6. What is the common denominator of -54/5 and a?
30
Let b = -7349/8020 + -2/6015. Let z be 1/10*200270/(-20). Let q = z - -1006. Calculate the common denominator of b and q.
60
Let a = 18 + -4. Let b = 20 - a. What is the lowest common multiple of b and ((-4)/(-5))/(58/1595)?
66
Let a(s) = -s**3 - 7*s**2 - 2*s - 10. Let m be a(-7). What is the common denominator of (15/(-126))/(31/8 - m) and 59/63?
63
Let x = -73 - -73. | {
"pile_set_name": "DM Mathematics"
} |
Let m(v) = d*s(v) + t*p(v). Determine m(4).
4
Let d(r) = -r**3 - 2*r**2 - 2*r. Let b(s) = -s - 4. Let q be b(-6). Let m = 5 - q. Let l = -5 + m. What is d(l)?
4
Let u(k) be the first derivative of k**3/3 - 7*k**2/2 - 6*k - 160. Let m be 5 - (0 + 0 - 1). What is u(m)?
-12
Let j(f) = 2*f**2 + 2*f + 3. Let h be j(-2). Let c be 4/6*9/3. Let z(v) = 1 + h + c - v. Calculate z(5).
5
Let l(k) = -9*k + 4. Let u(j) = -5*j + 2. Let b(f) = -3*l(f) + 5*u(f). Let g = -4 + 7. Determine b(g).
4
Let x(n) be the first derivative of -1/4*n**4 + 0*n**2 - 5/3*n**3 + 4 + 4*n. What is x(-5)?
4
Let y(t) = 199*t**3 - 198*t**3 - 3 + 4 + 2*t + t**2 + 0. Suppose -5*z + 4*p - 24 = -z, -p = -4. Calculate y(z).
-7
Let f(l) = -6*l - 7. Let i be f(-2). Let h(g) = -g**2 + 5*g + 1. What is h(i)?
1
Suppose 0 = 3*w - w + 8. Let d(q) = 2*q**2 + 7*q + 6. Determine d(w).
10
Let l(o) = 4*o**2 - 4*o - 2. Let p(a) = -11*a**2 + 11*a + 6. Let c be 1*(-12)/(-10)*5. Let i(u) = c*p(u) + 17*l(u). Suppose 2*b - 6 = -2. Give i(b).
6
Let r(h) = 9 - 1 - 7 - 7*h. Let o(k) = -k**3 - k**2 + k - 1. Let f be o(1). Let n(q) = -29*q + 5. Let w(s) = f*n(s) + 9*r(s). Calculate w(1).
-6
Let b(y) = 5*y + 2. Suppose 0 = 2*r + u - 6, -3*r + 20 = -4*u. Suppose -7 - 1 = r*i. Give b(i).
-8
Let d(q) = 6. Let v(g) = g + 13. Let z(y) = 5*d(y) - 2*v(y). Calculate z(5).
-6
Let x(d) be the third derivative of -d**4/24 - 13*d**3/6 - 7*d**2. What is x(0)?
-13
Let m(g) = 4*g**3 + 3*g**2 - 14*g**3 + 11*g**3 + 1 - 2. Let j be m(-3). Let q(p) = 10*p + 1. Calculate q(j).
-9
Suppose 6*n = 5*n - 1. Let d(v) = -6*v**2 - v. Give d(n).
-5
Suppose q + 40 = -7*q. Let a(m) = -m**2 - 5*m + 6. What is a(q)?
6
Let v be (-8)/(-16)*(1 + -1). Suppose a + 0*a = i + 2, 5 = a. Let y = v - i. Let l(d) = d**3 + 5*d**2 + 4*d. Determine l(y).
6
Let l(f) = -2*f - 3. Let p be (5/15)/((-2)/(-30)). Let i(y) = 3*y + y - 3*y + p. Let q be i(-7). Determine l(q).
1
Let v be (-1 + 12 + -2)*2. Suppose -u - 5*y = -v, 2*y = 4*u - 2*y + 48. Let o = u - -8. Let s(n) = -2*n. What is s(o)?
-2
Let c(n) = -2*n - 13. Let m be c(-9). Let t(r) = -2 - 4*r + m*r - 1. Suppose l = -0*l + 3. What is t(l)?
0
Suppose -5 = -a, -a = c - 0*c - 9. Let h = 5 - c. Let b(o) = 2*o**3 + o**2 - o + 1. Calculate b(h).
3
Let j(s) be the third derivative of s**7/360 + s**6/720 - s**4/12 - 2*s**2. Let r(p) be the second derivative of j(p). What is r(-1)?
6
Let s(r) = 3*r**2 + 1. Let z be (-2)/8 - 10/(-8). Let a be s(z). Let m(p) = 5*p**2 + 2*p - p**3 - 6*p + 3 + 3. Calculate m(a).
6
Let y = 13 + -4. Let h(x) = -3*x**3 - 3*x**2 + 6*x + 8. Let z(m) = -13*m**3 - 11*m**2 + 23*m + 32. Let a(i) = y*h(i) - 2*z(i). Give a(-6).
-4
Let c(t) be the third derivative of -1/8*t**4 - 1/30*t**5 + 0 - t**2 + 0*t**3 + 0*t. What is c(-2)?
-2
Let m(j) = -j**2 - 6 + 4*j - 12*j + 1 + 0. Determine m(-7).
2
Let b(p) = 4*p - 4 + 4*p + 2*p - 5*p. Give b(3).
11
Let i(y) = -1 + 0*y**2 + 5*y + 3*y**2 - 12*y**3 + 11*y**3. Give i(4).
3
Let y = 12 - 11. Let g(w) = -5 - w + 1 + y + 4. Calculate g(6).
-5
Let v be ((-2)/(-5))/(5/25). Let o(y) = -2 + y**v + 3*y + 0 + 2*y + 0*y. Calculate o(-3).
-8
Let f(t) = -t**2 + 7*t - 5. Let a(o) = -3*o**2 + 22*o - 16. Let g(b) = 2*a(b) - 7*f(b). Let l = -10 - -20. Let z = l + -6. Give g(z).
-1
Let n(f) = 3*f**2 - 4*f + 2. Suppose -3*r + 1 + 5 = 0. What is n(r)?
6
Let s(v) be the third derivative of 0 + 0*v**3 + v**2 - 7/24*v**4 + 0*v. Calculate s(1).
-7
Let w(o) be the second derivative of o**5/4 - o**4/12 - o**3/6 + o**2/2 - 5*o. Let m(k) = k**2 - k + 1. Let l be m(-2). Suppose l = 5*q + 2. Give w(q).
4
Let k(m) = -6*m - 4. Let x(i) = 7*i + 4. Let d(t) = t**2 - 14*t - 10. Let b be d(15). Let y(z) = b*x(z) + 6*k(z). Let g be 2 - (-1 + -1 + 1). Give y(g).
-7
Let f(d) = 2*d + 3. Let l be (-4)/(-3) - 2/(-3). Let y be (7 + -11)/(l*1). Calculate f(y).
-1
Let w(x) = x**3 - x + 1. Suppose -4*z - 3 = 4*s - 23, 5*z - 5*s = -15. Determine w(z).
1
Let c be (2/4)/(12/(-24)). Let n(b) be the third derivative of 3*b**6/40 + b**5/60 + b**4/12 + b**3/6 - b**2. What is n(c)?
-9
Let y(k) be the third derivative of k**6/120 - k**4/12 + k**3/3 + k**2. Let o be 6/4*(2 - -2). Suppose d - 3*z = -4 - o, 0 = 5*z - 20. Give y(d).
6
Let n(z) be the third derivative of -5*z**4/8 + z**3/6 - 8*z**2. Give n(-1).
16
Let j(h) = -h**2 - 5*h + 5. Suppose -14 = -53*l + 55*l. Give j(l).
-9
Let p(f) = -f + 5*f**3 - 8*f**2 - 4*f**3 + 6*f**2. Calculate p(2).
-2
Let s(i) = i + 1. Suppose 2*x - 16 = 2. Let b = 10 - x. Give s(b).
2
Let y be 7 + (-3 - (3 + -1)). Let h(c) = 4*c**3 - 2*c**2 - 1. Determine h(y).
23
Suppose 0*h + 2*h + 18 = 2*o, 2*h = o - 13. Suppose -3*m = -2*m + x - 8, -o*x + 25 = 0. Let j(p) = p**3 - 2*p**2 - 4*p + 2. What is j(m)?
-1
Let r(p) be the first derivative of p**2/2 - 5*p + 6. Determine r(0).
-5
Let j(d) = d**3 + 2*d**2 - 3*d + 4. Let g = 4 + -7. Let a be j(g). Let w(t) = t**3 - 5*t**2 + 5*t - 4. What is w(a)?
0
Let n(f) be the third derivative of f**5/60 + f**4/8 - f**3/2 - f**2. Suppose 0*j + 45 = 3*j. Let y be (-3)/j + 38/(-10). What is n(y)?
1
Suppose 0 = 3*x + 6, -5*q - 3*x + 0 = -4. Let y(i) be the third derivative of i**6/120 - i**5/60 + i**4/24 - i**3/6 - i**2. Calculate y(q).
5
Let t(w) = w + 10. Let n(p) = 4*p**2 - 10*p + 1. Let j(a) = -5*a**2 - 1 - 5*a + 5*a + 11*a. Let r(l) = 5*j(l) + 6*n(l). Let b be r(-6). Determine t(b).
5
Let x = 19 - 21. Let y(u) = 2*u**3 - u**2 + 4*u + 3. Give y(x).
-25
Let b(y) = -2 + y**2 + y - 2*y + 0*y**2. Let s(j) = -2*j**3 - j**2 + j + 2. Let n be s(-1). Let p be (1/n)/((-7)/(-42)). Give b(p).
4
Let t(d) = 3*d - 1. Let v be (-4)/(-3)*(20 - 14). Let w(q) = q - 11. Let k be w(v). Determine t(k).
-10
Let i(p) = -p**3 + 4*p**2 + 4*p + 2. Let q be (4/12)/(3/45). What is i(q)?
-3
Let z = 17 + -12. Let f(v) be the first derivative of -v**2 + 2. Give f(z).
-10
Suppose -2*n = -3*n - 5, -n - 6 = a. Let g(r) = 2 + 1 - 9*r**3 - 4. Determine g(a).
8
Let n be (-24)/(-6) - (0 + 1). Let x(f) = f**3 - f**2 - 4*f + 1. Calculate x(n).
7
Let y be (-3)/(-2) + (-3)/(-6). Let d(f) = 3*f**3 + 4*f - 3. Let b(r) = r**3 - r + 1. Let z(i) = y*b(i) + d(i). Determine z(1).
6
Let v(a) = a - 10. Let k be 3*(-6)/18*7. Determine v(k).
-17
Let s(c) = 52 - 53 - 4*c + 12*c. Determine s(-2).
-17
Let j(i) = 6 - 5*i - 12 + 2 + 6 + i**2. Determine j(3).
-4
Let n(j) = j**3 - j**2 + j + 2. Let m be n(0). Let z(u) = 9 - u**2 - 5*u - 2*u**m - 2 + 4*u**2. Determine z(5).
7
Suppose -4*p = -5*p + 6. Let b(j) = j**2 + j - 1. Let k(n) = -2*n**2 - 8*n + 7. Let d(i) = p*b(i) + k(i). Calculate d(1).
3
Suppose -3*x + 3 = -0*x. Let v be 0/3*(x - 0). Suppose -t - 2*l + 4*l = 0, v = -t - 4*l. Let c(i) = i**3 + i**2 - 5. What is c(t)?
-5
Let v(a) = -3*a. Let t(j) = 4*j. Let p(l) = 4*t(l) + 5*v(l). Let u(y) = 7. Let q(w) = -p(w) + u(w). Determine q(6).
1
Suppose 0 = h - 1 - 1. Let r(g) be the second derivative of g**4/12 + g**3/3 - 3*g**2/2 + g. What is r(h)?
5
Suppose -5*n - 15 = -4*s, s = -2*n - n - 9. Let x(f) = f - 7. Determine x(s).
-7
Let a(t) = -7*t**2 + 1. Let x = -17 - -31. Let r = x + -20. Let h be r/9 + (-2)/6. Calculate a(h).
-6
Let u(r) = 6*r**3 - r**2 - 5*r + 1. Let t(m) = -7*m**3 + m**2 + 6*m - 1. Let a(p) = -5*t(p) - 6*u(p). Let c = -71 - -72. What is a(c)?
-1
Let b(z) be the third derivative of -z**7/2520 - z**6/720 - z**5/60 - 5*z**2. Let q(m) be the third derivative of b(m). Give q(-3).
5
Let z(d) = 2*d - 3. Let c(b) = 10*b - 16. Let a(r) = -2*c(r) + 11*z(r). Determine a(6).
11
Let b be (2/(-1))/(4/2). Let q be (1 - 1)/2 - -1. Let z(d) = -q + 2 - 3*d + d. Give z(b).
3
Let v(p) = -p + 2. Suppose 3*w - 12 = 18. Let q = w - 7. What is v(q)?
-1
Suppose 0 = -4*i + 6*i - 6. Suppose -4 - 11 = i*q. Let m(t) = -t**2 - 9*t + 6. Let f(o) = -2*o**2 - 17*o + 12. Let d(a) = -4*f(a) + 7*m(a). What is d(q)?
-6
Suppose -4*y = -0*a + 5*a - 27, 0 = -y - a + 6. Let t(o) = -o**3 + 4*o**2 - 2. Calculate t(y).
7
Suppose 0 = 3*h - 8 - 1. Let m(w) = 6 + 2*w + 4 - h*w - 2. Calculate m(4).
4
Let o(a) = 2 + 2*a + 0*a**3 + a**3 + 6*a**2 + 0*a**2. Calculate o(-6).
-10
Let j(u) = 5*u - 2. Let g(b) = 2 + b**3 + 2 + 7*b**2 - 8*b - 3 + 2. Let z be g(-8). Calculate j(z).
13
Let d(a) = a**3 + 2*a**2 + 3*a + 2. Let k be -3 + 0 + 6 + -5. Give d(k).
-4
Let h(g) = 3*g + 6. Let l(q) = -4*q - 6. Let c(t) = 7*h(t) + 6*l(t). Determine c | {
"pile_set_name": "DM Mathematics"
} |
have the same value?
False
Let m be 60/525 + (-6)/15. Which is smaller: -2/965 or m?
m
Suppose g + 2*v - 8 = 0, 2*g = 4*v + 9 + 23. Let m be -2 + -8 + g/(4 - 1). Which is smaller: m or -4?
m
Let u = 0.23 - 0.63. Let a = 0.25 + u. Let k = a - -0.05. Is -0.16 bigger than k?
False
Suppose 3*b - 2*h - 15 = 0, -b + 0*h + h = -5. Suppose -b*c = -10*c - 55. Suppose 0 = 74*s + 16*s + 20 + 1060. Which is bigger: s or c?
c
Let y be -1*1*(-15 + (9 - -6)). Are -5/41 and y nonequal?
True
Let v = -1 + 0. Let c = 193/6 - 319/10. Which is smaller: v or c?
v
Let s be 9/6*(-8)/30. Let r be 6/4*(-1010)/(-15). Let j = r + -809/8. Which is smaller: j or s?
s
Let o be (1 - 1) + 2/6. Suppose -25 = -2*i + 4*r - 43, 0 = -2*i - r + 7. Are i and o equal?
False
Let s = 11.25 - 11.35. Which is bigger: -0.0357 or s?
-0.0357
Let s(g) = -g**2 - 6*g - 2. Let o be s(-5). Let c = -160/3 - -337/6. Let j = o - c. Which is smaller: j or 1?
j
Let b = 8 + -49. Suppose 29*w - 69*w - 785 = 895. Which is bigger: w or b?
b
Suppose 2*w = 3*l - 22, -3*w = 2*l + 47 - 14. Which is greater: -41/4 or w?
-41/4
Let d = -3 + 3. Let r(c) be the second derivative of c**3/6 + 3*c**2 + 8*c. Let s be r(d). Which is smaller: 0 or s?
0
Let l(u) = -34*u - 576. Let o be l(-17). Is -726 at most o?
True
Let v = -20 + 20. Suppose v = -3*j + 2*o - 10, 0 = 4*j - 2*o - 2 + 14. Let s be 0/(2 + j + -2). Does s = -4/9?
False
Suppose -2*o = -6*o + 180. Suppose 0 = 5*t + 25, 0*t = -n + 3*t + o. Let l be 3/2 - 33/n. Which is smaller: l or -6/11?
-6/11
Suppose -3*u + 209 = 5*g, 4*g - 276 = -4*u - 0*u. Suppose w + w - 32 = -2*f, 5*w + f - u = 0. Are 68/5 and w equal?
False
Let c(f) = -f**2 - 7*f**2 + 6*f - 31 + 3*f**2 + f**3 - 7*f. Let s be c(6). Which is bigger: s or -30/17?
s
Let i = -130 + 130. Is i > -6/451?
True
Let q be (-3)/(-1)*(-18)/16659. Which is smaller: -1 or q?
-1
Suppose -20 = -6*o - 8. Suppose o*u + 30 = -2*g - 20, -65 = 3*u + g. Is -19 equal to u?
False
Let s(y) = -y**3 - 8*y**2 + 3*y + 65. Let o be s(-7). Are o and -3 unequal?
True
Suppose 13*o = 11*o + 18. Suppose 4*k - 25 = 7. Which is greater: o or k?
o
Let h(p) = -p**3 - 36*p**2 + 5*p - 100. Let w be h(-36). Is -280 at least w?
True
Suppose -62*h = -60*h. Let j(d) = d. Let o be j(0). Is h smaller than o?
False
Let k = -41 - -32. Let r = 32 - 20. Let c = r + -22. Is k < c?
False
Let o(q) = -11*q + 17. Let g(m) = -5*m + 8. Let t(c) = -13*g(c) + 6*o(c). Let v = -35 + 40. Let y be t(v). Which is smaller: -8 or y?
-8
Let c be ((-9)/12)/((-1)/12). Suppose c = 2*p + 25. Let q be 2*(28/p + 3). Which is smaller: -2/3 or q?
q
Let m = 348 - 522. Is m >= -176?
True
Let s = 205004/98187 - 4/4269. Which is smaller: s or 1?
1
Suppose 3*y + 36 = 4*y. Let a be y/16 + (-2)/8. Which is smaller: a or 2/3?
2/3
Suppose 4*u = -u + 15. Suppose -5*i - 3 = -4*l, 4*i - 17 = u. Suppose 0 = -2*r + l*r - 30. Is 6 at least as big as r?
True
Let s = 4/25 - -1/25. Let w = 20.72 + -20. Let n = w + 0.28. Do s and n have the same value?
False
Suppose -3*a = 3*t, 4*t - 2 = 2*a + 5*t. Let x be a*2/((-36)/(-15)). Is x bigger than -2?
True
Let a = 17 + -8. Let d be ((-3)/(-6))/(1/20*1/1). Which is smaller: a or d?
a
Let k be (-14)/54*-3*-127. Let j = -99 - k. Suppose -7*p + 12*p = 0. Do p and j have the same value?
False
Suppose 4 = -4*m - 0*m. Suppose 13*r + 280 = -22*r. Let i be m/((-1)/3) + r. Which is greater: -7 or i?
i
Let p = 0 - 7. Let c = -7.1 - p. Let g be (-4)/(-16) - 15/28. Which is smaller: c or g?
g
Suppose a + 0 = -2, -3*h - 38 = 4*a. Let k be (-2)/(-5) - 2/h. Let c = -4/5 + k. Which is smaller: c or -1?
-1
Suppose 10*o - 24 = 6*o. Let v be (-1)/(-3)*o + 198/(-98). Which is bigger: 0 or v?
0
Suppose -315 = -17*u + 25. Which is bigger: 31 or u?
31
Let u(m) = 2*m + 3. Let b be u(-4). Let d = b - -9. Suppose 3*c - 2*c - d = 0. Is 5 less than or equal to c?
False
Let z be 6*(-7 + 30200/4314). Is -1 at most as big as z?
True
Let p be -28 - -28 - ((-1)/1 + 0). Which is greater: -67/5 or p?
p
Suppose 2*o + 140 = 5*r, 5*o - 84 = -4*r + r. Suppose 0 = -3*u + 2*s - s + 9, u = 5*s + 3. Let p be (r/(-147))/(2/u). Which is smaller: 5 or p?
p
Suppose -5*r = 3 - 13. Suppose r*h + 84 = 6*h. Let s = h - 20. Which is smaller: s or 2/3?
2/3
Let g(f) = -f**2 + 5*f - 3. Let n be g(2). Let o be n/5 + 306/90. Suppose 4*y + o*i = 2 + 6, y - 8 = 2*i. Is 4 >= y?
True
Let u be 8/6*3 + 7. Suppose 5*q + 8 = -3*j + 1, 3*q - 5*j = -u. Let s = q + -2. Which is bigger: s or -3?
-3
Let w be 0 + ((-8)/6 - -1). Suppose -4*t + m = 3*m - 22, -3*t + 15 = m. Let y be 12/36*6/t. Which is smaller: y or w?
w
Let r(d) = -d - 112. Let h be r(0). Let j = h + 112. Let u = 31/6 + -17/3. Is j bigger than u?
True
Let b = -63254 - -949879/15. Let p = 71 - b. Is p bigger than 0?
False
Let o(q) = -4 - 14*q - 1 + 4*q - q**2. Let j be o(-8). Suppose j = 4*x + 2*z + 1, 6 = x + 4*z. Is 2 at least as big as x?
True
Let d(o) = o**3 + o**2 + 1. Let m be d(-1). Let a = 73/14 - 5. Do a and m have different values?
True
Let g = 402 + -403. Which is smaller: g or 4?
g
Suppose 9 = x + 7. Suppose 2*j + 22 = -3*u, x*j - 4*u = -5*u - 14. Which is bigger: -6 or j?
j
Let r = -6 - -9. Suppose 5*o - 4*q - 13 + 5 = 0, o - 4*q = -8. Suppose o*a = 3*d + 20, r*a - 6*a + 26 = -5*d. Which is smaller: 0 or a?
0
Suppose 0 = v + 5 - 2. Let c be v/3*-7*-1. Let i be -1*5 - (c + 8). Is i <= -7?
False
Let u = 0 + 3. Let i = -7 - -8. Which is smaller: i or u?
i
Let r = 464 + -505. Which is bigger: r or -35?
-35
Suppose -2*o - 2*u = 4, 2*u = 2*o + 43 - 39. Is o bigger than -105?
True
Let w be (3 - 0/(-1)) + 4160/(-8). Which is smaller: w or -516?
w
Suppose -1 = 3*c + 2. Let w be -4 + (3 - -15) + 2. Suppose -u + w = 3*u. Are c and u equal?
False
Let t(f) = -8*f + 16. Let d be t(-2). Let a = d - -12. Is a not equal to 43?
True
Let p be (4 - (8 - 3))/(114/12). Which is smaller: p or -2/21?
p
Let x = -30/91 + 4/91. Let r = 0.03 + -0.05. Which is smaller: x or r?
x
Suppose 25 = -5*n + 15. Let d(q) = -q**3 + 3*q**2 - q - 2. Suppose 0*z + 2 = -z - 5*h, -z - 2*h + 1 = 0. Let u be d(z). Is n at least as big as u?
True
Let x = 14 - 10. Suppose 3*i + 2*i = -2*z + 10, -x*z = i - 20. Are i and 2/53 equal?
False
Suppose -191*c - 35070 = -212*c. Which is greater: 1669 or c?
c
Let k = 182 + 72. Is k at least 254?
True
Let o be (-77)/66*9/(-14). Let c be (-3 - -5) + (-174)/70. Let q = c + 2/7. Which is smaller: o or q?
q
Suppose 6*b - 225 = 33. Let m = b + -53. Let n = 0.1 - -0.9. Are m and n nonequal?
True
Let m(l) = -l - 4. Let q be m(5). Suppose 4*w - 58 = -170. Let s be (-3 - -2)/(136/w - -5). Are s and q equal?
False
Let m = 5 + -5. Let l = -72 + 72.1. Which is smaller: m or l?
m
Let f = -85/28 - -11/4. Suppose 39 + 6 = 5*w. Suppose -j - w = l + l, -5*j = -5*l. Which is bigger: l or f?
f
Let h be 71960/336 - 8/(-6). Which is smaller: 216 or h?
h
Suppose -4*d + 22 = 14. Let x be 21/(-14)*d/(-33). Is x > 1?
False
Let x be 15/3 + -1*1. Suppose 4 = -y + 5*y - x*l, -4*y + 2 = -5*l. Suppose -y = 5*f - 8*f. Is f <= -1?
False
Suppose -3*t = 5*c - 3*c - 12, -2*t = 5*c - 8. Let q(z) = 4*z - 39. Let h be q(10). Is h greater than c?
True
Let m = 108.1 + -108. Is m not equal to -3/5?
True
Suppose 25 = 32*p - 27*p. Let f(c) = -c**2 + 9*c - 11. Let v be f(8). Let l be (p + 4 + v)/(-1). Which is smaller: l or -7?
-7
Let v be 10*-2*(-4)/20. Suppose 60 = -v*s - s. Let i = s - -13. Is -5/3 at most i?
True
Let f(c) = c**3 - 8*c**2 + 10*c + 20. Let n be f(6). Is -3 smaller than n?
True
Let j be (-87)/27 - 2/(-9). Let f be 100/36 + -2 + -1. Which is smaller: f or j?
j
Let z = 3.84 + -1.84. Do 30 and z have different values?
True
Let r(v) = 2*v + 1. Let b(o) = o**2 - 5*o + 5. Let i be b(4). Let u be r(i). Let q be 1 - 0*u/(-6). Which is smaller: q or -1/11?
-1/11
Suppose 4*a + x + 2*x = 5, x - 5 = -2*a. Let s be (-44 - -40) + (1 + -1 - -5). Is a > s?
True
Suppose 0 = x - 4*x - 18. Let l = -3 - x. Suppose 2*o - 3*o - 17 = 4*v, l*o - v - 1 = 0. Which is bigger: -4 or o?
o
Let m = 144 - 149.95. Let r = 0.6 - 0.55. Let v = r - m. Which is greater: v or 1/4?
v
Let v = -71 - -102. Let y = -36 + v. Do -2 and y have the same value?
False
Let l be ((-906)/(-8))/(1/4). Let f = l + -887/2. Is 9 equal to f?
False
Suppose 2*r = 3*p + 39 - 47, -3*p + 2 = 4*r. Let a be (-7)/4 - 2/8. Do p and a have t | {
"pile_set_name": "DM Mathematics"
} |
Suppose 2*b - 2*c = 2764, 3*b + 3*c + 1372 = 4*b. Is b composite?
True
Let c be (-20)/(-5) - 0/(-1). Suppose -3*i + 2357 = n + 3*n, -3*n + 1759 = c*i. Suppose t + 2*t = -3*g + 363, g = 5*t - n. Is t composite?
True
Let f(r) = 2*r + 7. Let x be f(-5). Let p be x*1*4/3. Is -1 - 1 - (-4 + p) a composite number?
True
Suppose 4*t + 12 = 2*t - 3*y, -3*t = 3*y + 12. Is t + 3 + 1 + 145 prime?
True
Let g(h) = -h**2 - 4*h + 2. Let q be g(-3). Suppose 3*v = q*v - 50. Is v a composite number?
True
Let p = 75 + 14. Is p a composite number?
False
Let d(v) = -v**3 - 7*v**2 - 9*v - 10. Suppose -3*x + 6 - 27 = 0. Is d(x) prime?
True
Suppose -5 = m - 17. Let q be (336/2)/((-8)/m). Let b = q - -379. Is b composite?
False
Suppose 585 = 3*p + 3*h, 2*h = 3*p - 383 - 182. Is p prime?
True
Let w(t) be the second derivative of 5*t**4/12 + t**3/2 + t**2/2 + 2*t. Let o be w(-2). Is 536/10 + (-9)/o prime?
True
Suppose 5*j + 54 = -2*v + 1349, 3*v - 1880 = 5*j. Suppose a = -4*a + v. Suppose -3*y - 5*l + a = 0, -2*y - 4*l = 3*y - 229. Is y composite?
True
Is 7/21*(-54)/(-2) composite?
True
Let g = 49 + 3. Is g/5 + (-4)/10 a prime number?
False
Suppose 4*l = a - 653 - 354, -4*a - 5*l = -3944. Is a a composite number?
False
Let v(r) = -2*r - 12. Let u be v(-8). Suppose a - 23 = -u*h, -2*h = 2*h - 20. Suppose -2*c - 3*n - 14 = -165, 226 = a*c + 5*n. Is c a composite number?
True
Suppose 5*v + 2*z = 17, -v + 4*z + 2 = v. Suppose 4*r = -3*a + 185, -r + 232 = 4*r + v*a. Is r a prime number?
True
Suppose 2*y = 2*l + 66, -y + 17 = 5*l - 34. Let t be y - (-2 - (-4 - -1)). Suppose -2*n = -n - t. Is n prime?
False
Is (1*-1262)/2*-1 a composite number?
False
Let n be 61/7 - (-4)/14. Let k be (-15)/n + (-2)/(-3). Is k + 21 + 0 + 1 a prime number?
False
Suppose c = -c - 5*z + 15234, -5*c - 2*z + 38043 = 0. Is c a composite number?
False
Let u = 696 - 483. Suppose 3*d - 222 - u = 0. Is d composite?
True
Suppose 4*i + 3*f = -21, -i = 3*i - f + 41. Let s(g) be the third derivative of -5*g**4/24 + 5*g**3/3 + 2*g**2. Is s(i) prime?
False
Let m(l) = -l + 11. Let i be m(6). Suppose i*y = 390 - 100. Is y a prime number?
False
Let y(n) be the third derivative of 121*n**5/60 + n**4/24 - n**3/6 + n**2. Is y(1) prime?
False
Let t(c) = -9*c**2 + c + 4. Let p be t(3). Let k = -141 - -250. Let u = k + p. Is u prime?
False
Suppose -2*a - 1 = -11. Suppose 4*v - 4*x - 31 = 209, 0 = -x + a. Is v composite?
True
Is 1873 + ((-9)/(45/(-10)) - 1) a prime number?
False
Let x = -459 - -832. Is x composite?
False
Is 62/(-341) - 7405/(-11) composite?
False
Let v(k) = 2*k**2 - 5*k. Let d be v(4). Suppose -d - 183 = -3*l. Is l prime?
False
Is (-22)/121 - (-7286)/22 a prime number?
True
Let n(q) be the second derivative of -7*q**4/6 + 7*q**3/6 - 9*q**2/2 + 2*q. Let v(g) = 9*g**2 - 5*g + 6. Let l(d) = 5*n(d) + 8*v(d). Is l(8) a prime number?
False
Suppose -21 - 191 = -4*o. Is o a composite number?
False
Let y = -7 - -10. Let o be (2/6)/(y/(-9)). Is (-25)/((-2)/1 - o) a prime number?
False
Let m = -2125 + 3102. Is m composite?
False
Let j(g) = g**3 + 8*g**2 + 7*g + 2. Let f be j(-7). Let u(y) = 40*y**2 + 1. Is u(f) prime?
False
Let y(d) be the second derivative of 25*d**4/4 - d**3/6 - 4*d. Is y(1) prime?
False
Let p = 4 - -1. Suppose 0 = -p*c + 20, c = -2*t - c + 14. Suppose 2*i + t = 101. Is i a composite number?
True
Let k(n) be the third derivative of 17*n**5/60 + 5*n**4/24 + n**3/6 + 3*n**2. Is k(-4) composite?
True
Suppose -4*t + 5*t = 162. Suppose w + t = 481. Is w composite?
True
Is 4 - ((-1)/1 - 6) a prime number?
True
Suppose -3*a + 132 = -a. Let r be 2*(-1 - (-3 - 0)). Suppose -j = -r*j + a. Is j a composite number?
True
Let q be (6/4)/((-33)/(-88)). Suppose 1665 - 149 = q*u. Is u a composite number?
False
Let y(t) = -3*t**3 - t**2 - 4*t - 3. Let s(i) = -i + 4. Let d be s(6). Let x be y(d). Let n = -12 + x. Is n composite?
False
Let y(w) = -w + 1. Let b be y(-7). Let q(j) = -j**3 + 8*j**2 + 9*j - 7. Is q(b) a composite number?
True
Let b = -37 - -91. Let f = 103 - b. Is f composite?
True
Let f be -1*(-3 + 0) + 2. Suppose 2*t - 161 = -f*m, 3 = -2*t - 1. Is m prime?
False
Let l(d) = 61*d - 3. Is l(5) composite?
True
Let b(u) = u**3 + 4*u**2. Let k be b(-4). Suppose k = 2*i + 3*i - 30. Suppose -4*q = -2*d + i*d - 16, q = d + 2. Is q prime?
True
Suppose 6*g - 4*g - 514 = 0. Is g composite?
False
Let x be (-1 + -23)*-42 + -3. Suppose 3*q - 3*l - x = -0*q, 0 = -q - 5*l + 347. Is q prime?
True
Let l = 5 + -3. Suppose l*z = z + 58. Is z prime?
False
Let q be (5 - 1)*58/8. Suppose 0 = -3*i + 12 + 9. Let b = q - i. Is b composite?
True
Let i = -2 + 4. Let b be i/(-1) + (4 - 2). Suppose b*u = -4*j - 3*u + 691, -661 = -4*j + 3*u. Is j a prime number?
False
Let g be (-1 - 4)*(-142)/5. Suppose c = -n + 3*n - g, 2*n = 3*c + 142. Is n a composite number?
False
Suppose -5*c + 3368 = 2*r, -3*c + 2*c + 4*r + 678 = 0. Is c a prime number?
False
Let m = -5 + 0. Let j(w) = 3*w**2 + 4*w - 6. Is j(m) composite?
True
Let z(m) = m + 9. Let x be z(-8). Suppose -5*l + 9 + x = 0. Suppose 0 = l*q - 2 - 4. Is q composite?
False
Suppose 0 = -4*x + n + 622, n = -5*x - 37 + 819. Let r = 319 - x. Is r a composite number?
False
Let x(p) = -2*p + 1561. Is x(0) a composite number?
True
Let q(l) = -17*l**2 + 4*l + 3. Let u(j) = 18*j**2 - 4*j - 3. Let b(f) = -6*q(f) - 5*u(f). Is b(-2) composite?
False
Suppose -2*o = -291 - 155. Is o a composite number?
False
Let q = 654 - 283. Is q prime?
False
Let h(r) = r**2 + 10*r - 4. Suppose -n = 3*n - 28. Is h(n) composite?
True
Suppose 0 = 4*p - 2074 + 430. Is p a composite number?
True
Suppose 37 = -s + 114. Is s prime?
False
Let n(z) = z**3 + 6*z**2 + 5*z - 3. Let s be n(-5). Let u(w) = -w**3 - 3*w**2 + 3*w + 4. Let k be u(s). Let o = k + 120. Is o a composite number?
True
Suppose -3*n - 2*n = 3*p + 10, 2*n + 10 = 0. Suppose 4*t - 205 = 3*s, -s - 340 + 92 = -p*t. Is t a composite number?
True
Let i = 0 - 41. Let k = 1 - i. Let h = 68 - k. Is h prime?
False
Suppose 4768 = 5*r + 2*x - 2007, 0 = -2*r + 2*x + 2724. Is r a composite number?
True
Let w = 70 - -41. Is w a prime number?
False
Let b(i) = 43*i - 2. Suppose -2*g + g + 5*y = 12, -4*g - 2*y = -18. Is b(g) prime?
True
Suppose 0*x + x = -2*f - 178, 5*x = -5*f - 440. Let h = 11 - 24. Let q = h - f. Is q prime?
False
Let j(p) be the third derivative of -3*p**4/2 + 2*p**3/3 - 3*p**2. Let t be j(3). Let n = t + 199. Is n composite?
True
Is (35196/(-8))/(-7)*(-2)/(-3) prime?
True
Let d = 100 + 103. Is d composite?
True
Suppose -2274 - 1651 = -5*m. Is m composite?
True
Suppose 2*f - f - 3*r - 178 = 0, 5*f - 5*r = 850. Is f a prime number?
False
Suppose 0 = -0*d + d - 26. Let p be ((-2)/(-6))/(2/(-6)). Is p + d + -2 - 2 a prime number?
False
Let u(p) = 4*p**3 - p + 1. Suppose -a = 2 - 3. Let f be u(a). Suppose 0 = -3*y - 2*v + f + 47, 4*y - 4*v - 48 = 0. Is y prime?
False
Let o(q) = 691*q**2 - 7*q - 3. Is o(2) composite?
True
Let n(d) = 6*d - 4 + 3*d**2 - 4*d**2 + 3*d. Suppose -4*q = -4*k + 40, -2*k = -5*k + q + 22. Is n(k) composite?
True
Let w = -3 + 52. Is w a prime number?
False
Suppose 0 = -4*h + 12, -4*d - 4*h + 2*h + 78 = 0. Let p = 33 - d. Is p a composite number?
True
Is ((-53)/(-5))/((-9)/(-45)) prime?
True
Suppose -335 = -2*t + 1023. Is t a composite number?
True
Suppose -185 = -j + 356. Is j a composite number?
False
Let a(y) = 483*y + 1. Suppose -4*o - 4*v = -12, 2*o - 2*v = 3 - 5. Let z be a(o). Suppose s = 5*s - z. Is s prime?
False
Suppose -4*j - 3*g + 2*g = 2034, 2*j - 4*g + 1008 = 0. Is j/6*(-30)/20 composite?
False
Let t(o) = 19*o**3 - 5*o**2 + 3*o + 2. Is t(3) prime?
True
Let j(o) = -4*o**2 + 0*o**2 - o**2 + o**3 + 3*o - 2*o**2 - 11. Is j(8) composite?
True
Let x be (2 + -1)*(3 + -1). Suppose 0 = v + 2*v - 9. Suppose -10 + 51 = v*d + x*n, 2*n + 11 = d. Is d a prime number?
True
Let h(s) = s**2 + 2*s - 2. Is h(-5) prime?
True
Suppose 3*i = -0*i - 9. Is 2/i + 202/6 a composite number?
True
Let k be (-183)/(-6) - (-1)/2. Suppose 0 = 3*b + k - 376. Is b prime?
False
Let m(c) = -c**3 - 6*c**2 + 6*c. Let p(r) = -r + 1. Let t(q) = -m(q) + 2*p(q). Let f = 2 + -9. Is t(f) prime?
False
Let h(a) = 2*a**2 - a - 1. Suppose -1 = m + 3*r, m - r = -0*r - 1. Let n be h(m). Suppose 3*g + 6 = 0, n*b + 4*g + g - 28 = 0. Is b a composite number?
False
Supp | {
"pile_set_name": "DM Mathematics"
} |
rue
Suppose 10 = -5*w + 30. Suppose w*h + 0*p = -5*p - 3, 6 = -2*h - 4*p. Suppose -2056 = -h*i - 37. Is i a prime number?
True
Let a = -39 + 60. Is (-5222)/a*(-9)/6 a prime number?
True
Let o = -4190 - -5951. Is o a prime number?
False
Let f = 1074 - 40. Let k = f - 590. Let g = -317 + k. Is g composite?
False
Let t(a) = -a**3 + 18*a**2 - 32. Let b(x) = x + 1. Let g(s) = -5*b(s) - t(s). Is g(19) composite?
False
Suppose -t = -5*t - 28. Let d be t/((-84)/(-16))*-6. Is (-1735)/(-20) - (-2)/d composite?
True
Suppose 5*c - 11959 = 8906. Suppose -g = -4*g + c. Is g composite?
True
Let q(g) = -1062*g**3 + 3*g + 2. Let n(z) = z**2 - 15*z + 8. Let p be n(13). Let m be (6/p)/((-1)/(-3)). Is q(m) a composite number?
False
Let d = -34 - -37. Suppose d*n - 27 = 1158. Is n a prime number?
False
Suppose 5*j - 4*v = -7346 + 18325, -v + 6601 = 3*j. Is j a composite number?
True
Let x be (2*4/(-24))/((-2)/(-5178)). Let p = -532 - x. Is p a prime number?
True
Suppose -184133 = -5*x - a + 106513, -3*x + 5*a = -174382. Is x composite?
False
Suppose -2*i + 10 = -2*a - 4*i, 2*i + 10 = 0. Suppose a = -s - s - 8. Is 94 - 6*s/8 a composite number?
False
Let m = 142 + 779. Is (m/6)/((-2)/(-12)) prime?
False
Let b be 2021/3 - 4/6. Let s = b + 540. Is s prime?
True
Let a(v) = -4*v**2 + 3*v**2 + 10*v - 18*v - 3. Let s be a(-6). Is -3*((-375)/s + 2) a prime number?
False
Let c(l) = 8*l - 5. Let y(i) = -i**3 + 5*i**2 + 3. Let z be y(5). Is c(z) prime?
True
Is (16/(-40) - 26/10) + 3610 a prime number?
True
Let u = 64 + -68. Is (7/2 + u)*-2246 a prime number?
True
Let y(m) be the second derivative of 47*m**3/6 - 2*m**2 + 3*m. Is y(1) composite?
False
Let v(k) = -k**2 - 20*k - 68. Let y be v(-15). Let h(l) = 115*l + 4. Is h(y) prime?
True
Is (1741/(-3))/(5/(-15)) a composite number?
False
Let c = -3 - 4. Let s be 0 - c/((-21)/(-6)). Suppose 5*f - 2*k + 5*k - 1835 = 0, f + s*k - 367 = 0. Is f a composite number?
False
Let d = 696 - 161. Suppose -5*b - d = -3*p, -3*p = -2*p - b - 181. Suppose 0 = -u + 5*x + p, -x - 406 = 4*u - 6*u. Is u a composite number?
True
Let r(m) = -m**3 - 6*m**2 - 5*m + 5. Let b be r(-5). Suppose b*h - 6475 = -865. Suppose -h = -2*a - 460. Is a composite?
False
Let y be (2/(-2))/(14/(-112)). Let i be 26/y - (-30)/40. Suppose 0*v - 3*v = i*l - 1022, v = -2*l + 512. Is l a prime number?
True
Let f(q) = q**2 - 3*q + 2. Let x be f(3). Suppose -5*v + 57 = -x*v. Is v a prime number?
True
Suppose -41271 - 16303 = -11*v. Is v a composite number?
True
Let r be 6*-1*(-208)/(-12). Let u = r - -523. Is u a prime number?
True
Let r(s) = 14*s**3 + 4*s**2 - 11*s - 15. Is r(11) a prime number?
False
Let x(m) = 2435*m**2 + 3*m + 2. Let j be x(-1). Suppose j = 3*l - 3233. Is l prime?
True
Let a(t) = -t**3 - t + 6 - 8*t**3 + 8 + 10*t + 15*t**2. Let p(g) = 5*g**3 - 8*g**2 - 5*g - 7. Let w(r) = -4*a(r) - 7*p(r). Is w(6) a composite number?
False
Let x(g) = 3*g**2 - 3*g + 33. Let s be 114/15 - 1 - (-6)/15. Is x(s) a composite number?
True
Let a = -73 + 107. Suppose 25*i + 2637 = a*i. Is i a composite number?
False
Suppose -5*j + j = -8. Suppose 67 = x - 0*b - 2*b, -j*x + 5*b + 138 = 0. Is x prime?
True
Suppose 0 = -6*b - 7869 + 25023. Suppose b + 3949 = 8*a. Is a a prime number?
False
Let g(q) = 5*q**2 + q + 13. Let u = 43 - 47. Is g(u) a composite number?
False
Let k be (-343)/(1 - 10/9). Suppose k = 4*y - 357. Suppose y = 8*c - 5*c. Is c composite?
True
Suppose 0 = 2*w - 7 + 5. Is -1 + w + 12 + 167 a prime number?
True
Let x be (-12)/(-20) + (-3927)/(-5). Suppose 0*v + 3*v = -5*y - 7, -3*v = 3*y + 9. Is x/v*(-2)/3 prime?
True
Is 8/16*(-1086414)/(-3) a composite number?
True
Suppose -2*s + 4*s = -1344. Let d = 1996 + s. Suppose i = 5*i - d. Is i a composite number?
False
Let x(i) = -i**2 + 2*i + 2. Let a(u) = 14*u**2 - 7*u - 8. Let o(h) = a(h) + 3*x(h). Suppose r + 2*z = -4*r + 21, 0 = -z + 3. Is o(r) composite?
True
Suppose 4*w - 4*u = -3*u - 22, 0 = w - 3*u. Let k be (27/(-12))/(w/(-16)). Is ((-68)/8)/(1/k) prime?
False
Suppose 5*z + 1590 = 4*s, -4*z = 3*s + 843 + 460. Let m = z - -455. Is m composite?
True
Let x = -16 - -56. Suppose -3*r - x = p, -3*p = -r - 6 - 14. Is r/(-21)*690/4 a prime number?
False
Let u(n) = -25*n + 148. Let o be u(6). Suppose 2*b + 2*b + 96 = 0. Let y = o - b. Is y composite?
True
Let r(t) = -t**3 - 4*t**2 + 4*t - 2. Let h be r(-5). Is -5*46*h/(-18)*3 composite?
True
Let w(m) = 2*m + 6. Suppose 4*f - 40 = -u + 5*u, 2*u = 3*f - 29. Let r be w(f). Let y = r + -11. Is y composite?
False
Is 6 + (-9 - -2) + (-584)/(-1) a prime number?
False
Let f = 3 - 0. Suppose -2*p - 18 = 5*k - 73, -3*k + f*p + 33 = 0. Is k/(-22) + 490/4 a prime number?
False
Suppose u + u - 110 = 0. Let v(f) = f**3 + 5*f**2 + 7*f + 1. Let w be v(-4). Is (-3068)/(-10) - w/u a composite number?
False
Let d(a) be the second derivative of 3*a**5/10 - a**4/12 + a**3/3 - a**2/2 + a. Let h be d(1). Is (-3)/h + 1014/4 composite?
True
Let s(k) = 2*k**2 - 8*k + 5. Is s(8) a prime number?
False
Let a(r) = -27*r + 2. Let c(y) = -y**3 - 8*y**2 + y + 5. Let g be c(-8). Let m be a(g). Is 1/1*(-4 + m) a composite number?
False
Let g(w) be the first derivative of -9*w**4/4 - 5*w**3/3 + w - 9. Is g(-2) a composite number?
False
Let g(l) = 63*l + 22. Let i be (4/((-64)/(-12)))/(1/4). Is g(i) composite?
False
Let z be (-3 + 5)/(2/(-1)) - 55. Let y = 507 + z. Is y composite?
True
Let b(a) = 16*a**2 - a + 5. Let d be b(-12). Suppose -13*n + 2*n + d = 0. Is n prime?
True
Let q = -32 + -89. Let a(s) = 13*s - 56. Let h be a(6). Is (-6970)/(-22) - h/q a prime number?
True
Suppose -3749 = 6*b - 31067. Is b a prime number?
False
Suppose 2*c = 5*b + 8 - 2, 0 = -5*c + 5*b. Let a(q) = 2*q + 3. Let m be a(c). Is (4/(-8))/(m/154) a composite number?
True
Suppose -y + l = -3*l + 97, -y + l - 106 = 0. Let a(h) = h**3 + 3*h**2 - h - 6. Let q be a(6). Let w = q + y. Is w prime?
False
Let n = -84080 + 148759. Is n a composite number?
False
Let s(f) be the first derivative of 1539*f**2/2 - 17*f + 3. Let q(w) = -513*w + 6. Let g(r) = -11*q(r) - 4*s(r). Is g(-1) a composite number?
True
Suppose -2*v + 16825 + 7549 = 0. Is v composite?
True
Let t(b) = 15*b**2 - 28*b - 23. Is t(-16) a composite number?
True
Let o(x) = 101*x**2 + 3*x - 3. Let a be o(3). Let y = -36 + a. Is y composite?
True
Suppose -w + 223 + 56 = 0. Let h = 278 + w. Is h a prime number?
True
Let v be (-2)/((4 - 0)/(-5392)). Is v/40 + (-2)/5 composite?
False
Let b(j) = -15*j - 153*j + 14*j + 15 + 8*j. Is b(-11) composite?
False
Let c(m) be the second derivative of -1057*m**3/6 - 3*m**2/2 + 17*m. Is c(-2) prime?
True
Suppose 0*m + 8*m + 24792 = 0. Let s = 6506 + m. Is s a composite number?
False
Let q be (-2 - -4169) + -4 + 3. Suppose 7*b - q = 2*b - 3*p, -4*p = -5*b + 4187. Is b a prime number?
False
Let x(k) be the third derivative of k**4/24 + 11*k**3/6 + k**2. Let o be x(-8). Suppose 5*y - 2*y = 5*r - 277, 4*y + 175 = o*r. Is r a prime number?
True
Let y = -13246 - -62225. Is y prime?
False
Is (-229796)/(-6) - (-16)/(-48) composite?
False
Let d = 19 + -17. Suppose p + d*s = -3*p + 3154, 4*p + s = 3151. Is p a prime number?
True
Let z = 2837 + -18. Is z a prime number?
True
Let q = 2270 - 1197. Is q a composite number?
True
Is (157/2)/(109/218) a composite number?
False
Let f(b) = 3*b**3 + b**2 - 2*b + 10. Let s be f(-7). Let z = 1635 + s. Is z prime?
False
Is (-33 - 3)/6 + (3 - -104746) composite?
False
Suppose 91*f + 3 = 92*f. Suppose -f*r = -1533 + 540. Is r a composite number?
False
Let d(i) = 40*i + 15. Let b(r) = 7*r**2 + 6*r + 7. Let f(t) = -t**2 + 1. Let k(p) = b(p) + 6*f(p). Let j be k(-6). Is d(j) prime?
False
Let d(a) be the first derivative of 3/2*a**2 + a - 2 + 7/3*a**3. Is d(5) a prime number?
True
Let x be (-12)/54 + (-32)/18. Let v be x - (0/(-2) + -48). Is 4 + (8*v - -1) a composite number?
False
Suppose -5*k = 5*i - 405, -2*i + 0*i = 4*k - 322. Suppose -715 + k = -t. Is t prime?
False
Let u be -2 - (-12)/4 - -3. Suppose -u*y - 3*p + 1 = 5, -y = -5*p - 22. Suppose 2*q = -y*h + 3*q + 73, -195 = -5*h + 5*q. Is h composite?
True
Suppose 0 = -2*h - 2*h + 48. Suppose -h*n + 11*n = -457. Is n a composite number?
False
Let a(z) = -z**2 + 14*z - 12. Suppose 4*j + 2*g - 3 = 33, j + 2*g - 6 = 0. Let m be a(j). Suppose 2*t = m + 10. Is t a prime | {
"pile_set_name": "DM Mathematics"
} |
232?
False
Is 20278907 a multiple of 245?
False
Is 123942920 a multiple of 5?
True
Does 9 divide 4728940?
False
Does 15165 divide 1163916142?
False
Is 738360720 a multiple of 1840?
True
Is 7910 a factor of 1217504318?
False
Is 11090964 a multiple of 77?
False
Is 811178929 a multiple of 8218?
False
Is 1128130385 a multiple of 165?
False
Is 36 a factor of 1960598486?
False
Is 1640469118 a multiple of 604?
False
Is 27255090 a multiple of 3?
True
Does 1339 divide 4533989239?
True
Does 10 divide 1131260982?
False
Is 272749176 a multiple of 87?
True
Is 2 a factor of 3330337?
False
Is 45335778 a multiple of 117?
False
Does 11 divide 9250538?
True
Is 171605112 a multiple of 4218?
True
Does 29 divide 4040887042?
False
Does 392 divide 1230181156?
False
Is 310 a factor of 1140591517?
False
Is 15 a factor of 1084279911?
False
Is 5713070 a multiple of 1120?
False
Does 668 divide 456294971?
False
Is 35410544 a multiple of 160?
False
Is 10802 a factor of 2970994060?
False
Does 134 divide 472632447?
False
Is 200 a factor of 1966600?
True
Is 3 a factor of 184238181?
True
Does 40 divide 705282640?
True
Does 79 divide 7022992?
False
Is 73428632 a multiple of 4?
True
Is 830 a factor of 702641480?
True
Does 16 divide 584225616?
True
Is 60549339 a multiple of 453?
True
Is 467 a factor of 8777925?
False
Does 6 divide 62194068?
True
Is 10427065 a multiple of 24?
False
Is 38160639 a multiple of 991?
False
Is 32104537 a multiple of 210?
False
Does 319 divide 24880459?
False
Is 11175840 a multiple of 48?
True
Is 39 a factor of 154786632?
True
Is 5491935 a multiple of 765?
True
Does 455 divide 264996095?
True
Is 212285875 a multiple of 125?
True
Is 837 a factor of 110717057?
False
Is 8 a factor of 506169271?
False
Is 12362 a factor of 6377246750?
True
Does 742 divide 1038383738?
True
Does 42 divide 19364730?
True
Is 20116173 a multiple of 10?
False
Does 4315 divide 331860975?
False
Does 11 divide 4580884?
True
Does 129 divide 439740360?
True
Does 417 divide 260416083?
True
Is 20259789 a multiple of 682?
False
Is 9 a factor of 1256436?
True
Does 81 divide 4210268535?
False
Is 506 a factor of 10712526?
True
Is 757443714 a multiple of 59?
False
Is 366873661 a multiple of 131?
False
Is 58011331 a multiple of 586?
False
Is 33 a factor of 150469782?
False
Is 140 a factor of 13938962?
False
Is 533 a factor of 81909128?
False
Is 1503125744 a multiple of 2806?
False
Is 120657538 a multiple of 12?
False
Does 480 divide 525929233?
False
Does 44 divide 42550772?
True
Is 326751440 a multiple of 944?
True
Is 67 a factor of 72010595?
True
Is 115 a factor of 33008821?
False
Is 5 a factor of 3008690?
True
Does 56 divide 2189176?
False
Is 105073249 a multiple of 19?
True
Is 520647827 a multiple of 11144?
False
Does 544 divide 148626861?
False
Is 216140791 a multiple of 62?
False
Is 55779516 a multiple of 684?
True
Does 3840 divide 36514560?
True
Is 236775630 a multiple of 50?
False
Is 99727903 a multiple of 8?
False
Does 28 divide 74204256?
True
Is 1087 a factor of 251125262?
True
Is 46 a factor of 327367050?
True
Is 197 a factor of 2448584905?
True
Does 2 divide 119567280?
True
Does 4230 divide 499876020?
True
Is 2172455 a multiple of 320?
False
Is 73539030 a multiple of 258?
True
Is 50 a factor of 228248?
False
Is 30417656 a multiple of 4?
True
Is 235 a factor of 65422008?
False
Is 1633936872 a multiple of 888?
True
Does 181 divide 54699710?
False
Is 716 a factor of 672620233?
False
Is 31 a factor of 3298905331?
True
Is 22 a factor of 2831144536?
True
Is 2023 a factor of 2121099316?
True
Is 142787519 a multiple of 2077?
True
Does 1090 divide 46503760?
True
Is 13 a factor of 72183527?
True
Is 10 a factor of 1737581160?
True
Does 21 divide 86817927?
True
Is 1771 a factor of 775209204?
True
Is 1044471819 a multiple of 50?
False
Is 52 a factor of 110415041?
False
Does 199 divide 529034648?
False
Does 561 divide 55163130?
True
Is 937933031 a multiple of 508?
False
Does 92 divide 24306651?
False
Is 411 a factor of 445931398?
False
Does 18 divide 179422056?
True
Is 66 a factor of 21431652?
True
Is 12 a factor of 5011088591?
False
Is 129248705 a multiple of 17?
True
Is 636 a factor of 1202335104?
True
Is 40549412 a multiple of 4586?
True
Is 700441958 a multiple of 24?
False
Does 80 divide 656964720?
True
Does 18 divide 25106846?
False
Does 566 divide 1269895712?
True
Is 87130413 a multiple of 501?
True
Does 1329 divide 21035412?
True
Does 1016 divide 386412000?
False
Is 80211060 a multiple of 134?
True
Does 320 divide 651794261?
False
Is 99 a factor of 35122019?
False
Is 291586248 a multiple of 49?
False
Is 2606 a factor of 487613872?
True
Is 587 a factor of 4836293?
True
Is 1763 a factor of 599935015?
False
Is 61 a factor of 40632153?
False
Does 336 divide 2392656?
True
Does 527 divide 144840317?
False
Does 2109 divide 829170288?
False
Does 247 divide 96569837?
True
Is 52 a factor of 69870701?
False
Is 757382604 a multiple of 33?
True
Does 315 divide 675438750?
True
Does 9 divide 2742186040?
False
Is 132204394 a multiple of 37?
False
Is 29766470 a multiple of 10?
True
Is 203 a factor of 876882747?
False
Is 977 a factor of 3478676611?
False
Is 264 a factor of 230008416?
True
Does 1308 divide 221374248?
False
Does 14 divide 1630074124?
True
Is 31 a factor of 1744618?
True
Is 122 a factor of 329610895?
False
Does 11 divide 2683163152?
False
Is 194370456 a multiple of 57?
True
Is 41851999 a multiple of 434?
False
Does 15 divide 361605?
True
Does 12 divide 6765500?
False
Does 8 divide 9556692?
False
Does 28 divide 174125?
False
Does 548 divide 66549120?
True
Is 8921073 a multiple of 357?
True
Does 336 divide 1333580976?
True
Is 45473046 a multiple of 56?
False
Is 43256298 a multiple of 9?
False
Does 19 divide 231512404?
False
Is 2541 a factor of 703630851?
True
Does 23 divide 7268144?
False
Is 12415400 a multiple of 20?
True
Is 3298688 a multiple of 688?
False
Is 834 a factor of 849785952?
True
Is 1477822539 a multiple of 2997?
False
Is 7270979641 a multiple of 8101?
True
Is 275551468 a multiple of 2?
True
Is 10728381 a multiple of 1100?
False
Is 361744376 a multiple of 63?
False
Is 1338413334 a multiple of 43?
False
Is 1671680 a multiple of 40?
True
Is 5039594 a multiple of 243?
False
Is 796256064 a multiple of 272?
True
Is 402237524 a multiple of 52?
True
Is 2317550675 a multiple of 97?
True
Is 2872 a factor of 143364496?
True
Does 480 divide 190857149?
False
Does 1338 divide 9156923?
False
Is 2309797476 a multiple of 1519?
True
Is 19 a factor of 23152089?
True
Does 5109 divide 1476158697?
True
Does 2422 divide 206126223?
False
Is 9200790 a multiple of 111?
True
Is 50 a factor of 21129950?
True
Is 140 a factor of 1064421558?
False
Is 443888536 a multiple of 56?
True
Does 974 divide 1395746913?
False
Is 271 a factor of 3363802676?
True
Does 99 divide 3929647124?
False
Is 177 a factor of 1038317490?
False
Does 1540 divide 247072936?
False
Is 562 a factor of 624787764?
True
Is 168382802 a multiple of 533?
False
Does 17 divide 74827775?
False
Is 98456520 a multiple of 1445?
True
Is 100294084 a multiple of 1292?
True
Is 130 a factor of 52331240?
True
Does 2172 divide 120339660?
True
Does 207 divide 39730271?
False
Is 941 a factor of 147849507?
False
Is 293928523 a multiple of 7?
True
Is 3 a factor of 2024415?
True
Is 75314894 a multiple of 229?
True
Does 1998 divide 128410692?
False
Is 111 a factor of 12930794?
False
Does 31 divide 271381595?
True
Is 436768888 a multiple of 86?
True
Does 14 divide 1168849441?
False
Is 188 a factor of 302097528?
False
Does 118 divide 1371054744?
True
Does 60 divide 444431424?
False
Does 111 divide 5200119156?
False
Is 17 a factor of 22989814?
True
Is 104 a factor of 1324099608?
True
Does 6 divide 36314863?
False
Is 177390841 a multiple of 4898?
False
Does 1671 divide 123692433?
True
Is 40 a factor of 84474224?
False
Is 154848343 a multiple of 13?
True
Is 59 a factor of 40102536?
True
Does 16 divide 226372668?
False
Does 89 divide 1216719?
True
Does 1882 divide 1524943196?
True
Is 27 a factor of 746655305?
False
Does 350 divide 2512037150?
True
Is 63 a factor of 363333422?
False
Does 24 divide 89643816?
True
Is 23 a factor of 2808852?
True
Does 365 divide 17959986?
False
Is 197 a factor of 62189157?
True
Is 97 a factor of 77307623?
False
Is 1385177 a multiple of 36 | {
"pile_set_name": "DM Mathematics"
} |
e second derivative of -4/3*a**4 - a**t + a + 2*a**3 + 0. Determine i, given that m(i) = 0.
1/4, 1/2
Let a(j) be the third derivative of j**5/390 - j**4/39 + 4*j**3/39 - j**2. Factor a(w).
2*(w - 2)**2/13
Let v(u) be the second derivative of u**5/90 - 2*u**4/27 + 5*u**3/27 - 2*u**2/9 + 14*u. Determine x so that v(x) = 0.
1, 2
Suppose 3*q = 5*x - 91, 5*q - 21 - 14 = -x. Suppose -5*m + 57 = 2*r, 0 = 2*m + 2*m - x. Factor -29*n - 216*n**3 - 216*n**2 - r - 81*n**4 - 63*n - 4*n.
-(3*n + 2)**4
Factor -88*x**2 - x**3 - 3*x**3 + 3*x**3 + 82*x**2 - 9*x.
-x*(x + 3)**2
Let h(l) be the second derivative of l**4/6 - 11*l**3/9 + 2*l**2 + 20*l. Factor h(d).
2*(d - 3)*(3*d - 2)/3
Factor -21/2*p + 3/2*p**3 + 9 + 0*p**2.
3*(p - 2)*(p - 1)*(p + 3)/2
Let w(z) = z**3 + z**2 + 2*z. Let i(f) = f**2 + f. Let u(x) = -10*i(x) + 5*w(x). Find q, given that u(q) = 0.
0, 1
Factor -2/3*n**3 + 2*n**2 + 0 + 0*n.
-2*n**2*(n - 3)/3
Let b(n) = n**5 + n**4 + 11*n**3 + 11*n**2. Let t(i) = -3*i**5 - 4*i**4 - 33*i**3 - 32*i**2. Let a(l) = 17*b(l) + 6*t(l). Factor a(k).
-k**2*(k + 1)**2*(k + 5)
Let h(m) be the first derivative of -1 + 0*m + 0*m**3 + 1/20*m**4 - 1/10*m**2. Factor h(o).
o*(o - 1)*(o + 1)/5
Let w(l) be the first derivative of l**7/1260 + l**6/360 - l**4/72 - l**3/36 + l**2/2 + 6. Let h(a) be the second derivative of w(a). Solve h(r) = 0.
-1, 1
Let k(j) = 6*j**4 - 9*j**3 - 3*j**2 + 6*j. Let q(f) = -5*f**4 + 8*f**3 + 2*f**2 - 6*f + 1. Let i(x) = -2*k(x) - 3*q(x). Determine u so that i(u) = 0.
-1, 1
Let r(t) be the first derivative of -3*t**4/2 - 2*t**3 + 17*t**2 + 20*t - 4. Let x(n) = n**3 + n**2 - 7*n - 4. Let u(m) = -3*r(m) - 14*x(m). Factor u(b).
4*(b - 1)*(b + 1)**2
Let p be ((-3)/(9/(-6)))/(-2). Let z be (-18)/45*25*p. Find x, given that -26*x**2 - z*x**4 + 82/3*x**3 - 4/3 + 10*x = 0.
1/3, 2/5, 1
Suppose 2*g + 2*g = 12. Let a be ((-18)/g)/(-3)*1. Solve -5*x**3 + 4*x + 0*x**4 + 4 + x**5 + 4*x + x**a - x**4 = 0 for x.
-1, 2
Let q be 10*(-8)/(-30) - (2 + 0). Factor -v - q - 1/3*v**2.
-(v + 1)*(v + 2)/3
Let t(b) be the second derivative of b**8/26880 + b**7/10080 - b**6/1440 + b**4/12 + 7*b. Let u(v) be the third derivative of t(v). Solve u(y) = 0.
-2, 0, 1
Let j(k) be the third derivative of -k**5/210 - k**4/28 - 2*k**3/21 - k**2. Factor j(a).
-2*(a + 1)*(a + 2)/7
Let a(q) = q**3 - 4*q**2 + 6*q - 5. Let m be a(3). Factor 0*h**2 + 0*h + 0 - 1/4*h**3 - 1/4*h**m.
-h**3*(h + 1)/4
Let t(g) = 3*g - 22. Let u be t(8). Let d(x) be the third derivative of 0 + 0*x**3 - 1/330*x**5 + 0*x - 4*x**u - 1/66*x**4. Factor d(l).
-2*l*(l + 2)/11
Factor -2*g**2 - 4/5*g**3 + 0 + 6/5*g.
-2*g*(g + 3)*(2*g - 1)/5
Let l(a) be the second derivative of a**8/2240 + a**7/560 + a**6/480 - a**4/3 + 4*a. Let t(c) be the third derivative of l(c). Factor t(s).
3*s*(s + 1)*(2*s + 1)/2
Let b(c) = -2*c. Let x be b(6). Let h be x/(-21)*(-2)/(-4). Factor 2/7*k**2 + 0*k + 0 + h*k**3.
2*k**2*(k + 1)/7
Let x(s) be the second derivative of s**5/160 + 2*s - 62. Find z, given that x(z) = 0.
0
Let c(u) = -13*u**2 - 25*u - 19. Let q(p) = 6*p**2 + 12*p + 9. Suppose 3*h = -2*h - n - 32, -3*h - 33 = -4*n. Let l(y) = h*q(y) - 3*c(y). Solve l(k) = 0 for k.
-2, -1
Let o be 4*3/((-18)/(-3)). Let s(x) be the second derivative of 0*x**3 + 1/10*x**5 + 0*x**2 - 1/24*x**4 - o*x + 0. Factor s(p).
p**2*(4*p - 1)/2
Let p(a) = 4*a**2 - a. Let w(m) = -7*m**2 + 2*m. Let v(t) = 5*p(t) + 3*w(t). Factor v(s).
-s*(s - 1)
Let d = 117 - 113. Let f(v) be the second derivative of 0*v**3 + v + 3/70*v**5 + 1/42*v**d + 0 - 4/105*v**6 + 0*v**2. Determine t, given that f(t) = 0.
-1/4, 0, 1
Let q(p) be the second derivative of -5*p**4/12 + 5*p**3/2 + 10*p**2 + 6*p. Find g such that q(g) = 0.
-1, 4
Let c = 1862/3 + -633. Let j = c + 13. Suppose j - p + 1/3*p**2 = 0. What is p?
1, 2
Let a(x) be the second derivative of x**4/12 - x**3/6 - 10*x. Let o be a(0). Let o - 2/5*k**2 + 4/5*k = 0. Calculate k.
0, 2
Suppose 1 - 3*x + 0*x**2 + x - 2*x**2 + 3*x**2 = 0. What is x?
1
Let z be 2/7 - 188/(-28). Factor 7*d - d**4 - z*d - d**3.
-d**3*(d + 1)
Let n(k) = 9*k**2 - 12*k - 11. Let u(o) = 28*o**2 - 36*o - 32. Let m(h) = 16*n(h) - 5*u(h). Factor m(f).
4*(f - 4)*(f + 1)
Let h = -1/35 - -59/840. Let t(u) be the first derivative of 0*u - 1/20*u**5 + 2 - 1/16*u**4 + 0*u**2 + 1/12*u**3 + h*u**6. Determine a, given that t(a) = 0.
-1, 0, 1
Let b = -191 + 958/5. Factor -4/5 + 4/5*g**3 - 4/5*g + b*g**2 + 1/5*g**4.
(g - 1)*(g + 1)*(g + 2)**2/5
Let v(h) = -6*h + 3*h - h. Let c(j) = -j**2 - j. Let s(z) = -2*c(z) + v(z). Factor s(n).
2*n*(n - 1)
Let f(y) be the third derivative of 0*y**4 + 0 - 1/2*y**3 + 0*y + 1/20*y**5 - 3*y**2. Factor f(z).
3*(z - 1)*(z + 1)
Let k be 6 + 1/(4/(-12)). Let d be ((-1)/(-9)*k)/1. Factor -d*q**4 + 2/3*q**3 + 0*q**2 - 2/3*q + 1/3.
-(q - 1)**3*(q + 1)/3
Suppose -7*u + 18 = -u. Let 1/3 - b**2 - 2/3*b**u + 0*b = 0. What is b?
-1, 1/2
Factor 18*t + 3*t**2 - 11*t**2 + 5*t**2.
-3*t*(t - 6)
Let j(q) be the first derivative of q**7/21 - q**6/15 + 2*q + 1. Let w(p) be the first derivative of j(p). Let w(f) = 0. Calculate f.
0, 1
Let j(q) = 7*q - 10. Let l be j(3). Suppose l = 4*v + 3. Factor -1/2*t**v + 0 - 1/4*t**3 - 1/4*t.
-t*(t + 1)**2/4
Let q(t) be the first derivative of -98*t**5/15 + 7*t**4/3 + 32*t**3/3 - 14*t**2/3 + 2*t/3 + 7. Find s such that q(s) = 0.
-1, 1/7, 1
Let i = 136/3 - 45. Let v = 294 + -292. Let 2/3*k + i + 1/3*k**v = 0. Calculate k.
-1
Suppose 0 = -2*l - 2*l. Let s = -3 + 5. Factor l*o + 1/4*o**s - 1/4.
(o - 1)*(o + 1)/4
Suppose 8/5 - 4*i**2 + 12/5*i = 0. What is i?
-2/5, 1
Let r(h) be the first derivative of 1/2*h**4 - h**2 - 2/9*h**3 + 2/3*h + 1. Determine w so that r(w) = 0.
-1, 1/3, 1
Let s be (-186)/31*1*2/(-42). Factor s*x + 0 + 2/7*x**2.
2*x*(x + 1)/7
Let i(k) = k**2 + k - 4. Let a be i(-3). Find f such that 4*f**4 - 2*f**4 - 2*f**a + f - 2*f + 0*f + f**5 = 0.
-1, 0, 1
Let c(z) be the second derivative of z**5/20 + z**4/12 - z**3/6 - z**2/2 + 64*z. Solve c(d) = 0.
-1, 1
Suppose -q = 2*m - 6, -q = 4*m + 4*q - 18. Suppose -m*s + 2 = -2. Factor s + 1/2*d**2 - 2*d.
(d - 2)**2/2
Let s(v) be the first derivative of v**6/2 + 6*v**5/5 - 2*v**3 - 3*v**2/2 - 9. Factor s(n).
3*n*(n - 1)*(n + 1)**3
Let u(l) be the second derivative of -l**4/54 + 8*l. Factor u(n).
-2*n**2/9
Let 1 - 3/4*c**2 - 1/8*c**3 + 1/2*c + 1/8*c**4 = 0. Calculate c.
-2, -1, 2
Suppose 0 = 4*o - 3*j - 3, -3*o + 4*j = j. Suppose -2*b - o = k, -4*k + 18 = -2*k - 4*b. Factor -4 + 15*p**2 + k*p**2 - 54*p + 58 - 2*p**3.
-2*(p - 3)**3
Solve 5*n**3 + 2*n**4 - 8*n**2 + 4 - 4*n + 4*n**4 - 2*n**4 - 4*n**5 + 3*n**3 = 0 for n.
-1, 1
Let j(m) = -m**2 - 10*m + 13. Let w be j(-11). What is r in 6/5*r + 1/5*r**w + 16/5*r**4 - 24/5*r**3 + 1/5 = 0?
-1/4, 1
Let n be 2 - (0 + 3) - -5. Let -7*y**2 - 2*y + 4*y**4 + 3*y**n - 6*y**3 - 4*y**5 + 12*y**3 = 0. Calculate y.
-1, -1/4, 0, 1, 2
Let k(i) = -2*i**2 - 2*i - 1. Let b(m) = -m**2 + m - 1. Let n(g) = -b(g) + k(g). Factor n(o).
-o*(o + 3)
Let -2/7*g**4 - 8/7*g**3 + 0 - 4/7*g - 10/7*g**2 = 0. Calculate g.
-2, -1, 0
Let p(r) = -4*r**2 - 17*r. Let z(m) = -12*m**2 - 50*m. Let b(a) = 14*p(a) - 5*z(a). Find h such that b(h) = 0.
-3, 0
Let n be 2/8 + -4 + 4. Let c(m) be the second derivative of 1/40*m**5 - 1/12*m**3 + 0 - 1/24*m**4 + n*m**2 - m. Find f, given that c(f) = 0.
-1, 1
Let d(x) be the third derivative of 0*x + 1/210*x**5 - 1/28*x**4 + 3*x**2 + 2/21*x**3 + 0. Solve d(a) = 0.
1, 2
Let f(h) be the first derivative of -h**8/672 - h**7/105 - h**6/40 - h**5/30 - h**4/48 - h**2/2 + 2. Let g(p) be the second derivative of f(p). Factor g(c).
-c*(c + 1)**4/2
Let z(j) be the first derivative of j**3/9 - j**2/3 + j/3 - 8. Factor z(c).
(c - 1)**2/3
Suppose h + 0*h = 0. Suppose -k + h + 1 = m, 2*k - 4 = -3*m. Factor -2/9*t**m + 0 + 0*t + 0*t**3 + 2/9*t**4.
2*t**2*(t - 1)*(t + 1)/9
Let n(k) be the third derivative of -k**7/70 + k**6/40 + k**5/20 - k**4/8 - 23*k**2. Factor n(d).
-3*d*(d - 1)**2*(d + 1)
Let f(o) = o**2 - 6*o**2 + 2 + o**3 - 2*o**2. Let c be f(7). Find y such that 8*y**3 + 0*y**3 + 7*y**c + y - y**2 = 0.
-1/2, -1/4, 0
Factor w - 2*w + 4*w + 2*w - 3*w**2 - 2.
-(w - 1)*(3*w - 2)
Let g(x) = 7*x**4 + 3*x**3 - 4*x**2 + 6*x - 6. Let j(f) = -15*f**4 - 7*f**3 + 9*f**2 - 13*f + 13. Let a(t) = -13*g(t) - 6*j(t). Determine i so that a(i) = 0. | {
"pile_set_name": "DM Mathematics"
} |
ing 1 y, 1 r, and 1 l.
1/12
What is prob of picking 2 s when two letters picked without replacement from {r: 5, s: 3}?
3/28
Four letters picked without replacement from {n: 13, h: 1, j: 1, x: 2, t: 1, o: 2}. Give prob of picking 2 x and 2 n.
26/1615
What is prob of picking 1 s and 3 u when four letters picked without replacement from uusus?
2/5
Two letters picked without replacement from {u: 17, r: 2}. Give prob of picking 2 u.
136/171
Two letters picked without replacement from crrrlrcarrra. What is prob of picking 2 a?
1/66
Calculate prob of picking 3 e and 1 b when four letters picked without replacement from {e: 2, b: 3, u: 4}.
0
What is prob of picking 1 e, 1 a, and 1 v when three letters picked without replacement from evvddeddvdedefaadf?
1/34
What is prob of picking 2 i and 2 k when four letters picked without replacement from {i: 4, k: 3}?
18/35
Two letters picked without replacement from {j: 5, c: 3, f: 5}. What is prob of picking 1 f and 1 j?
25/78
Calculate prob of picking 2 r when two letters picked without replacement from rrnnr.
3/10
Two letters picked without replacement from {e: 2, r: 9, h: 8}. Give prob of picking 1 e and 1 h.
16/171
Two letters picked without replacement from nkzsj. What is prob of picking 1 k and 1 s?
1/10
Calculate prob of picking 3 g when three letters picked without replacement from llgllglggg.
1/12
What is prob of picking 1 r and 2 z when three letters picked without replacement from {r: 2, z: 7}?
1/2
What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, r: 1, q: 3, g: 1}?
2/7
Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {z: 1, u: 2, o: 1, p: 5}.
1/18
What is prob of picking 2 y and 2 d when four letters picked without replacement from {d: 3, e: 4, y: 3, h: 3}?
9/715
What is prob of picking 2 x and 1 r when three letters picked without replacement from xrxxrxrxrr?
5/12
Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, e: 3, b: 8}.
1/12
Three letters picked without replacement from {c: 2, k: 1, l: 2, e: 2, q: 1}. Give prob of picking 1 c, 1 l, and 1 q.
1/14
What is prob of picking 1 f and 1 b when two letters picked without replacement from xaxfabbxxb?
1/15
What is prob of picking 1 m, 1 l, 1 j, and 1 d when four letters picked without replacement from {l: 1, d: 2, m: 7, j: 6, y: 3}?
7/323
Calculate prob of picking 1 y and 1 t when two letters picked without replacement from dqqqutyq.
1/28
What is prob of picking 2 l when two letters picked without replacement from {v: 1, b: 6, l: 6, u: 6}?
5/57
What is prob of picking 1 z and 1 g when two letters picked without replacement from {a: 1, b: 1, g: 1, l: 2, i: 1, z: 1}?
1/21
Two letters picked without replacement from zwzzszzws. Give prob of picking 2 w.
1/36
What is prob of picking 1 l and 2 u when three letters picked without replacement from byuybubebgybglbbb?
1/680
Two letters picked without replacement from rpnnp. What is prob of picking 2 n?
1/10
Four letters picked without replacement from rdrrrdrrrr. What is prob of picking 2 r and 2 d?
2/15
Calculate prob of picking 1 z and 1 m when two letters picked without replacement from mmzzmzmzzzzzmmzzzz.
8/17
Four letters picked without replacement from hsshshhh. What is prob of picking 3 s and 1 h?
1/14
Two letters picked without replacement from jjnrjrujunjjjnjn. Give prob of picking 1 j and 1 u.
2/15
Calculate prob of picking 1 m and 2 d when three letters picked without replacement from {m: 1, p: 2, d: 1}.
0
Two letters picked without replacement from nknkknnnkookkkoo. What is prob of picking 2 k?
7/40
Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjwjjjjjjww.
13/20
Two letters picked without replacement from eheleelf. What is prob of picking 1 e and 1 f?
1/7
Two letters picked without replacement from {c: 1, w: 2, t: 2, e: 2, u: 1}. What is prob of picking 1 t and 1 e?
1/7
Calculate prob of picking 3 k when three letters picked without replacement from {g: 12, v: 1, k: 3}.
1/560
Three letters picked without replacement from {w: 1, o: 1, r: 5, b: 2, n: 1}. What is prob of picking 1 o, 1 b, and 1 n?
1/60
Three letters picked without replacement from hhfk. Give prob of picking 2 h and 1 k.
1/4
What is prob of picking 1 x and 3 t when four letters picked without replacement from {t: 7, b: 4, x: 3}?
15/143
Four letters picked without replacement from cixlkcckcccxcxxx. Give prob of picking 1 k and 3 x.
1/91
Four letters picked without replacement from {x: 2, a: 1, j: 1, t: 3}. What is prob of picking 1 t, 2 x, and 1 j?
3/35
What is prob of picking 1 z and 3 y when four letters picked without replacement from {z: 6, y: 7}?
42/143
Two letters picked without replacement from lbljojjjzoljjll. Give prob of picking 2 j.
1/7
Three letters picked without replacement from {h: 1, e: 1, a: 1, s: 1, k: 2, v: 1}. What is prob of picking 1 v, 1 h, and 1 k?
2/35
Four letters picked without replacement from {p: 6, i: 7}. What is prob of picking 2 i and 2 p?
63/143
What is prob of picking 1 h and 1 r when two letters picked without replacement from rrhhhr?
3/5
Calculate prob of picking 1 j and 1 l when two letters picked without replacement from lllvvlvvlvvvlrjrvj.
4/51
Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 1, b: 1, i: 2, j: 1}.
1/5
What is prob of picking 1 l and 1 y when two letters picked without replacement from yftol?
1/10
Two letters picked without replacement from fvaxawn. Give prob of picking 1 n and 1 w.
1/21
Three letters picked without replacement from {f: 1, n: 2, g: 1, m: 1, s: 1, e: 1}. Give prob of picking 1 f, 1 m, and 1 n.
2/35
Three letters picked without replacement from akkkkkkakpkpakkapk. Give prob of picking 1 a and 2 p.
1/68
What is prob of picking 1 z and 3 e when four letters picked without replacement from zzzzeeezzze?
14/165
What is prob of picking 2 r and 1 s when three letters picked without replacement from ssrrs?
3/10
Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {r: 2, m: 3, y: 6, e: 2}.
15/143
Three letters picked without replacement from vgoeoggbebebvvgo. What is prob of picking 1 g and 2 o?
3/140
Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {l: 5, w: 15}.
5/38
Three letters picked without replacement from {r: 1, w: 1, e: 2, v: 4}. What is prob of picking 1 r, 1 e, and 1 w?
1/28
What is prob of picking 2 w and 2 d when four letters picked without replacement from eppddddbawawaaa?
2/455
Two letters picked without replacement from ssssppssspsmsss. Give prob of picking 1 s and 1 p.
11/35
Two letters picked without replacement from {k: 5, j: 3, i: 3, m: 1, x: 1, v: 5}. Give prob of picking 1 j and 1 k.
5/51
Calculate prob of picking 4 l when four letters picked without replacement from {a: 7, l: 5}.
1/99
What is prob of picking 2 o and 1 g when three letters picked without replacement from xxgdddloxxuxdxu?
0
What is prob of picking 1 x, 1 k, and 1 m when three letters picked without replacement from {k: 1, q: 5, m: 4, x: 1, w: 9}?
1/285
Three letters picked without replacement from xsssxxssssxx. Give prob of picking 2 x and 1 s.
7/22
Two letters picked without replacement from rruprpurrrpur. What is prob of picking 1 p and 1 r?
7/26
Calculate prob of picking 1 j, 1 u, 1 d, and 1 t when four letters picked without replacement from {t: 2, j: 1, d: 1, u: 1}.
2/5
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ttxotooxooxoo.
7/26
Four letters picked without replacement from {y: 8, t: 1, q: 4, l: 2}. What is prob of picking 2 q and 2 y?
8/65
What is prob of picking 1 r and 1 n when two letters picked without replacement from {l: 1, r: 1, d: 2, p: 1, k: 1, n: 1}?
1/21
What is prob of picking 1 r and 3 b when four letters picked without replacement from {r: 1, b: 17}?
2/9
What is prob of picking 2 z and 1 c when three letters picked without replacement from xiiiziiiczzhihzx?
3/280
What is prob of picking 1 f, 2 j, and 1 a when four letters picked without replacement from {a: 1, f: 3, l: 1, m: 2, j: 4, i: 1}?
2/55
Four letters picked without replacement from {c: 2, m: 2, s: | {
"pile_set_name": "DM Mathematics"
} |
s.
5
Solve 57 - 9 = 5*d - 11*d for d.
-8
Solve -14*g + 57*g - 13*g - 330 = 0 for g.
11
Solve 51*h + 36 = 164 - 791 for h.
-13
Solve 79*f = -75*f + 374 + 704 for f.
7
Solve 0 = -1293*z + 1282*z + 66 for z.
6
Solve 271 = 113*j - 83 - 663 for j.
9
Solve -102*j = -474 - 138 for j.
6
Solve 17*z - 80 - 72 + 50 = 0 for z.
6
Solve -134 + 311 = 47*j - 340 for j.
11
Solve -16*a - 590 = -430 for a.
-10
Solve -491*l = -475*l - 16 for l.
1
Solve 8*t - 4550 = -4542 for t.
1
Solve 145 + 707 = 144*x - 444 for x.
9
Solve 162*a + 30 = 164*a for a.
15
Solve 498*k + 600 = 598*k for k.
6
Solve -165*d - 38*d + 1854 = -100*d for d.
18
Solve 45*t = 75078 - 76113 for t.
-23
Solve 18*p - 135 + 365 = -184 for p.
-23
Solve 9*f + 241*f - 750 = 0 for f.
3
Solve 355*k - 1929 + 342 = 188 for k.
5
Solve -58 + 1303 = 83*m for m.
15
Solve -111 = -48*f + 273 for f.
8
Solve 108*c = 17 - 71 - 54 for c.
-1
Solve 0 = 15*l + 678*l + 13860 for l.
-20
Solve 3263 = 7*l + 3354 for l.
-13
Solve 565 - 279 = -55*v - 88*v for v.
-2
Solve -n + 126 - 48 = 5*n for n.
13
Solve -4189*x + 4185*x + 28 = 0 for x.
7
Solve 396*j + 112*j - 13808 = -355*j for j.
16
Solve 8*n - 3*n = 52 - 37 for n.
3
Solve 4*j = 76 - 96 for j.
-5
Solve 34*b - 76 = 65 - 141 for b.
0
Solve 306*u - 1064 = 382*u for u.
-14
Solve 666*i + 11173 = -2813 for i.
-21
Solve 4063 - 3489 = 82*q for q.
7
Solve -13*j + 8803 = 95*j + 9019 for j.
-2
Solve 0 = -298*g - 149 - 6340 + 827 for g.
-19
Solve 19*h - 40 + 271 = -73 for h.
-16
Solve -8*t + 6*t + 275 = 23*t for t.
11
Solve 16*a + 10900 - 10804 = 0 for a.
-6
Solve -4*x - 66 = 10*x - 8*x for x.
-11
Solve -335*x = -662*x + 303*x - 48 for x.
-2
Solve -31*q - 39*q = 910 for q.
-13
Solve -24*k - 1 + 547 = 15*k for k.
14
Solve 115*x + 435 = 144*x for x.
15
Solve -9*y - 19*y - 265 = -97 for y.
-6
Solve 1 + 1 = -v - 6 for v.
-8
Solve -19 + 785 = -76*t - 70 for t.
-11
Solve -n - 176 + 350 = 177 for n.
-3
Solve -12*k - 6 = -4 + 22 for k.
-2
Solve -69*t + 31 = -38 for t.
1
Solve 0 = -322*l + 284*l + 5 - 499 for l.
-13
Solve -282*c + 1536 = -620*c + 274*c for c.
-24
Solve -19675*g = -19680*g + 120 for g.
24
Solve 3802 - 3912 = -22*x for x.
5
Solve -35*n + 52 + 68 = -20 for n.
4
Solve -6*b = 11*b - b - b for b.
0
Solve -78 = -44*s + 122*s for s.
-1
Solve 0 = 37*n + 194 + 250 for n.
-12
Solve 228 = -20*i + 3*i - 21*i for i.
-6
Solve 2338*q = 2326*q - 120 for q.
-10
Solve 2*n + 508 = -12*n + 382 for n.
-9
Solve 14*r + 80*r + 188 = 0 for r.
-2
Solve 193*n - 10 = 393*n - 201*n for n.
10
Solve 2589 = 55*n + 128*n - 1071 for n.
20
Solve 3183 = -33*c + 2226 for c.
-29
Solve 45*f + 21 = -204 for f.
-5
Solve 8217 + 3933 = 301*w + 185*w for w.
25
Solve 850*f + 726 = 15176 for f.
17
Solve -3599 = -14*m - 3529 for m.
5
Solve -76*o + 113 + 101 = -242 for o.
6
Solve -41*g + 392 + 433 = -405 for g.
30
Solve -49978*n = -49964*n + 126 for n.
-9
Solve -16*y - 26*y - 4 = -466 for y.
11
Solve 0 = -42*d + 523 + 23 for d.
13
Solve -645*s - 37851 = 576*s for s.
-31
Solve 144*u - 173*u - 348 = 0 for u.
-12
Solve -40*n = 8*n - 30*n - 90 for n.
5
Solve 11*g = -52*g - 1220 + 23 for g.
-19
Solve -32 = -66*b + 166 for b.
3
Solve 0 = -17578*p + 17666*p + 117 - 469 for p.
4
Solve 2279*h - 745*h = -33748 for h.
-22
Solve 21*a = 18*a + 24 for a.
8
Solve -4*x + 775 - 679 = 0 for x.
24
Solve 311*w = 2911 + 1754 for w.
15
Solve -281*x + 93*x + 2068 = 0 for x.
11
Solve 2700 + 6732 = 393*b for b.
24
Solve 16*k - 709 = -853 for k.
-9
Solve 147*u + 264 = 191*u for u.
6
Solve 0 = -403*n + 568 + 641 for n.
3
Solve -1843 = -858*i + 2447 for i.
5
Solve 1528*k = 1337*k - 1910 for k.
-10
Solve -256*i + 37 = -281*i - 13 for i.
-2
Solve 668 + 88 = 63*b for b.
12
Solve -362 = 74*k - 1472 for k.
15
Solve -13*t = 10*t - 16*t + 8*t for t.
0
Solve -5022 - 893 = 49*n + 1134*n for n.
-5
Solve 30*z - 73539 + 72639 = 0 for z.
30
Solve 8491 + 17759 = -750*v for v.
-35
Solve 47*n = 111*n + 22*n - 258 for n.
3
Solve -6*z = 73*z + 62*z + 705 for z.
-5
Solve 51*f = -11 + 317 for f.
6
Solve 56*p - 31*p + 53*p - 702 = 0 for p.
9
Solve 33 = 13*o + 7 for o.
2
Solve 0 = 3*y - 77*y - 483 + 1445 for y.
13
Solve -937 + 209 = 104*d for d.
-7
Solve 23*w - 115*w - 644 = 0 for w.
-7
Solve -174*m + 196*m = 176 for m.
8
Solve 4*d + 8 - 53 = 3 for d.
12
Solve 160*w - 192 = 154 + 454 for w.
5
Solve 0 = 24*l - 754 + 562 for l.
8
Solve -39*z + 216 + 160 = -131 for z.
13
Solve -1503*t + 522*t + 2820 + 5028 = 0 for t.
8
Solve 10*y + 233 - 73 = 0 for y.
-16
Solve -49*i - 44 = 290 + 401 for i.
-15
Solve 0 = -35*p + 1706*p + 31326 - 1248 for p.
-18
Solve h = 58*h - 218 + 47 for h.
3
Solve -93 = -6*c - 159 for c.
-11
Solve 42*q - 8 - 7 = 27 for q.
1
Solve 7884*s - 82 = 7925*s for s.
-2
Solve 313*v - 885*v = -5720 for v.
10
Solve -18*r + 183*r = 23*r for r.
0
Solve -24*l + 127298 = 127394 for l.
-4
Solve 389 + 227 = -37*j + 61 for j.
-15
Solve -156*x - 226 = 710 for x.
-6
Solve -12239*f - 121 = -12250*f for f.
11
Solve -9*s - 184 + 274 = 0 for s.
10
Solve -419*j - 5060 = 87*j for j.
-10
Solve -163*w + 828 = -209*w for w.
-18
Solve 0 = 1612*z - 1328*z - 3408 for z.
12
Solve -77128 + 75768 = 40*y for y.
-34
Solve 76*g + 14 = -15*g - 168 for g.
-2
Solve 0 = 18*l + 15*l - 14*l - 323 for l.
17
Solve 0 = -18*t - 24*t + 249 + 381 for t.
15
Solve 21*q = -143*q - 1218 - 1078 for q.
-14
Solve -5369*o + 5342*o = -297 for o.
11
Solve 0 = -107*w + 138*w + 620 for w.
-20
Solve -1090*q = -1062*q - 7 + 35 for q.
-1
Solve -m + 15*m + 196 - 224 = 0 for m.
2
Solve 227 = -28*y - 249 for y.
-17
Solve -1616*z = 10288 + 7488 for z.
-11
Solve 440 = -30444*l + 30532*l for l.
5
Solve 186*g + 1389 - 87 = 0 for g.
-7
Solve 0 = 2*k - 674 + 678 for k.
-2
Solve -2621 = -161*c - 206 for c.
15
Solve 5105*x = 5152*x + 987 for x.
-21
Solve 1634 + 342 = 217*a - 65*a for a.
13
Solve 168*z = 1191 - 183 for z.
6
Solve -9*x + 913 = 74*x for x.
11
Solve 24*a = -6*a + 5*a - 150 for a.
-6
Solve -18013*s + 18032*s - 86 = -580 for s.
-26
Solve 1390*g - 1383*g = 42 + 21 for g.
9
Solve 81*d = -3*d + 18*d + 264 for d.
4
Solve -879 = -175*s - 967 - 3237 for s.
-19
Solve -w - 424 = -11*w - 43*w for w.
8
Solve -5824 = -1222*u + 450*u + 564*u for u.
28
Solve -184*k + 1656 = -1278 + 726 for k.
12
Solve -351*w + 169*w = -180*w - 12 for w.
6
Solve 2058 = -5128*y + 5030*y for y.
-21
Solve 4183 = 1053*z - 7400 for z.
11
Solve 306*l + 674*l + 19049 = -2511 for l.
-22
Solve 12*y + 5872 - 5704 = 0 for y.
-14
Solve 27*m - 77*m + 2442 = 2542 for m.
-2
Solve -330*g + 80 = -670*g + 332*g for g.
-10
Solve -28708*o = -28685*o - 345 for o.
15
Solve -325*m + 1497 = -35*m + 6427 for m.
-17
Solve -7*b + 463*b - 6564 + 636 = 0 for b.
13
Solve 11*k + 549 + 544 = 1082 for k.
-1
Solve -121*f + 386*f - 5035 = 0 for f.
19
Solve 7696 = -24*z + 7360 for z.
-14
Solve -8232 = -96*l - 6984 for l.
13
Solve 11327 = 58*s + 10399 for s.
16
Solve -684*x + 372*x = -335*x - 253 for x.
-11
Solve -164*b = 220*b + 198*b - 4656 for b.
8
Solve 45*l + 70*l - 20 = 210 for l.
2
Solve 239*q - 1772 = -338 for q.
6
Solve -56*r - 280 = 220 - 52 for r.
-8
Solve 34*m = -83*m - 138*m + 3570 for m.
14
Solve -35*l + 34*l - 234 = 25*l for l.
-9
Solve 93*m + 70 = 37*m + 46*m for m.
-7
Solve 3*l + 280 = 3*l - 35*l for l.
-8
Solve 218*m = 377 + 640 + 73 for m.
5
Solve -24*t - 65 = -11*t - 8*t for t.
-13
Solve -129*n - 1394 - 1890 = -446 for n.
-22
Solve -36 = -51*p + 65 - 152 for p.
-1
Solve -48*l + 553 - 58 + 609 = 0 for l.
23
Solve -631*v = 8252 + 4999 for v.
-21
Solve -2*r = -213 + 191 for r.
11
Solve 43*l = -5*l - 56*l - 832 for l.
-8
Solve -109*a - 4401 + 19257 = 510*a for a.
24
Solve -4*b - 3270 = -3206 for b.
-16
Solve 12*t = 11754 - 11850 for t.
-8
Solve -3*f - 9*f + 583 = -65*f for f.
-11
Solve -13*h = 65*h + 126 + 732 for h.
-11
Solve 929*h + 2880 = 1089*h for h.
18
Solve -45*g - 104 = 7*g - 0 for g.
-2
Solve 20*l + 208 = -2*l - 4*l for l.
-8
Solve -142*m + 17*m = 99*m - 6048 for m.
27
Solve 6*a + 105*a + 14*a = -250 for a.
-2
Solve -82*v = -756*v - 8867 - 5287 for v.
-21
Solve -16*n + 41 = -7 for n.
3
Solve 429*w - 556 + 3307 + 2397 = 0 for w.
-12
Solve 0 = 420*v - 57*v + 7623 for v.
-21
Solve -648*t + 652*t = 40 for t.
10
Solve -30*d + 60 = -10*d for d.
3
Solve -48 = -2498*h + 2492*h for h.
8
Solve 167*y = 27*y + 1820 for y.
13
Solve -22*m - 162 - 53 - 5 = 0 for m.
-10
S | {
"pile_set_name": "DM Mathematics"
} |
n?
14
Let q be (3/(6/119))/((-2)/(-4)). What is the highest common divisor of 17 and q?
17
Let o(l) = l. Let f be o(7). Let c = -15 + 22. Calculate the highest common factor of f and c.
7
Suppose -4*s - 6 - 4 = n, 2*n - 4*s = 16. Let l be 249/13 + n/(-13). What is the highest common divisor of l and 19?
19
Let l(d) = -d**3 - 2*d**2 + 3*d. Let z be l(-5). Suppose 8*j = 3*j + z. Suppose -7*t + 2*t + 60 = 0. What is the highest common divisor of t and j?
12
Let c be (-1)/4 - 41/(-4). Let h = -57 + 167. What is the greatest common factor of h and c?
10
Let i(v) = v**3 + 26. Let l be i(0). Calculate the highest common divisor of l and 286.
26
Let g(f) = f - 33. Let s be g(42). Let k(t) = 3*t. Let b be k(3). What is the greatest common factor of b and s?
9
Let v(x) = -25*x - 1. Let i(h) = h**2 - 4*h + 2. Let g be i(3). Let o be v(g). Calculate the greatest common divisor of 16 and o.
8
Suppose -10*p + 13*p - 72 = 0. Calculate the greatest common factor of p and 60.
12
Let k(j) = 21*j + 1. Let h be k(1). Suppose -322 + 58 = -6*o. What is the greatest common factor of h and o?
22
Let c = 736 - 516. What is the highest common divisor of 20 and c?
20
Suppose -2*r + 55 = -6*c + c, 2*r - 57 = 3*c. What is the greatest common divisor of r and 10?
10
Suppose 4*m + 0 = -4. Let w be (m - 1) + 64/2. Let u = w - 2. What is the greatest common factor of u and 70?
14
Let u be 0 + -6 + -2 + 1. Let i = -4 - u. Suppose x + 24 = i*x. Calculate the highest common divisor of 18 and x.
6
Let a be -7*6/(-3)*1. Suppose a = -5*d + 74. Let c(p) = 11*p + 1. Let q be c(1). Calculate the highest common factor of d and q.
12
Let h = 217 - 87. Suppose 2*i = 5*a - h, -2*i - 9 + 75 = 2*a. Calculate the greatest common factor of 42 and a.
14
Let h(t) = -t**2 - 3*t + 4. Let z = -3 + 0. Let d be h(z). Suppose f + d*f - 236 = 4*m, -241 = -5*f - m. Calculate the greatest common factor of f and 16.
16
Let g be (-24)/(-14) - (-4)/14. Suppose -g*c = 2*r - 40, -c - 3*r - 2 = -32. Calculate the highest common divisor of 5 and c.
5
Let d(m) = 2*m**2 + 11*m + 23. Let x be d(-7). Calculate the greatest common divisor of 11 and x.
11
Let x be 1 - (-2 + 0) - 10. Let l = x + 5. Let h be (1 - 1) + (-144)/l. What is the greatest common factor of 12 and h?
12
Let n = 27 + -22. What is the greatest common factor of 2 and n?
1
Let h(m) = m**3 + 10*m**2 - 5*m - 2. Let r be h(-10). Calculate the greatest common factor of r and 32.
16
Suppose -w - 115 = -4*x, -3*x + 2*w - w + 86 = 0. Suppose -4*c + 3*d + x = -2*c, 4*d - 1 = -3*c. Calculate the highest common divisor of c and 28.
7
Let a(y) be the first derivative of 3*y**2/2 - 2. Let f be a(1). Let b be (f - -100) + -1 + 3. What is the highest common divisor of 15 and b?
15
Let n = -5 - -35. Suppose -3*z + 10 = 5*f, 4*f - f - 17 = -4*z. Suppose -10 = -z*q + n. What is the highest common factor of 64 and q?
8
Suppose -3*p + 4*o + 22 + 2 = 0, 4*p - 32 = o. Suppose 22 = -2*g - p. Let z be g/2*20/(-25). What is the greatest common divisor of z and 54?
6
Let c = 2373 - -229. Let l = c - 1556. Let d be l/10 + (-8)/(-20). Calculate the highest common divisor of 15 and d.
15
Let k(v) be the second derivative of -v**3/2 - v**2/2 + 3*v. Let u be k(-1). Suppose -225 = -3*o - u*o. Calculate the highest common factor of o and 5.
5
Let p(j) = 2*j + 9. Suppose 2*m + m = 18. Let q be p(m). What is the greatest common factor of 3 and q?
3
Let u(i) = -1 + 1 + 5 - 9*i. Let r be u(-5). Let g(m) = -m**3 - 14*m**2 + 20. Let v be g(-14). What is the greatest common divisor of v and r?
10
Suppose k + 5 = 6*k. Let u be (-1)/3 - 13/(-3). Calculate the greatest common factor of k and u.
1
Let t be (-1)/(-3 - -2) - (-4 + -23). What is the greatest common divisor of 196 and t?
28
Let d(y) = 2*y**2 + 3*y + 2. Let v be d(-6). Suppose 3*s = 2*s + 8. What is the highest common factor of s and v?
8
Let v = 42 - -30. Calculate the greatest common factor of v and 8.
8
Let n be (-2)/(-5) + (-746)/(-10). Suppose -33 - n = -3*t. What is the greatest common divisor of 9 and t?
9
Let u be (-3)/(5 - 2)*-2. Suppose 2*h + 11 = 5*i, 0 = u*h - h + i - 5. Suppose -3*b + h*b + 160 = 0. Calculate the greatest common factor of b and 20.
20
Suppose 5*s = 82 + 118. What is the highest common divisor of 10 and s?
10
Let a = 14 - 8. Calculate the highest common divisor of a and 6.
6
Let m(g) = g**3 + 3*g**2 - 4*g - 3. Let d be m(-3). Calculate the greatest common factor of 18 and d.
9
Let s be 0 - (-3 + 5 - 71). Suppose 0 = y - s + 6. Suppose t - 4*n + 14 - 37 = 0, 16 = 4*t + 3*n. What is the greatest common factor of t and y?
7
Suppose 12 = -s + 20. What is the greatest common factor of 8 and s?
8
Suppose 0 = 3*t - 325 - 377. Suppose 3*d + 78 = 6*d. What is the highest common divisor of d and t?
26
Let o be 753/18 + 4/24. What is the greatest common factor of 6 and o?
6
Let d = -298 - -421. Suppose 0 = -5*s - d + 318. Calculate the greatest common factor of 13 and s.
13
Let d(l) = -26*l**2 - 2*l + 1. Let u be d(1). Let x = u - -117. What is the greatest common factor of 36 and x?
18
Let n = -72 - -212. Calculate the greatest common divisor of n and 28.
28
Let g = 41 + -26. Let m(l) = 2*l - 4. Let q be m(7). Let h = 0 + q. Calculate the greatest common divisor of h and g.
5
Suppose -2*q - 7 = -q. Let g = q + 12. What is the greatest common divisor of g and 15?
5
Let v be 1926/15 + 4/(-10). Suppose -4*y - 178 = -2*a + 806, 0 = -3*y + 3*a - 738. Let d be 8/(-20) + y/(-15). What is the greatest common factor of v and d?
16
Suppose -3*h = -4 + 22. Let i = 10 + h. Let n be (-3)/((9/10)/(-3)). What is the highest common factor of n and i?
2
Let s = 173 - 83. Suppose 387 = 3*u + s. What is the greatest common divisor of u and 11?
11
Suppose -5*z + 250 = -155. Suppose -2*d - k + 36 = 2*d, 2*d = 3*k + 18. What is the greatest common factor of d and z?
9
Let a = 31 - 57. Suppose -5*t + 230 = 25. Let v = t + a. What is the highest common divisor of v and 60?
15
Suppose d - 8*d = -280. What is the highest common divisor of d and 1?
1
Let w(o) = -5*o. Let r be 1/(2 - (-2 - -3)). Let n be w(r). Let k(q) = -q**3 - 5*q**2 - 7*q - 5. Let t be k(n). Calculate the highest common divisor of t and 6.
6
Let h be (-2)/(2 - 280/135). What is the greatest common divisor of 3 and h?
3
Suppose 5*t = -2*a + 123, -4*t + 114 = -a + 26. Let f be (8 + 14)*(-46)/(-4). What is the highest common divisor of f and t?
23
Suppose -15 = -11*y + 6*y. What is the highest common divisor of 12 and y?
3
Let f = 13 - 13. Suppose f*a + 160 = 2*a. What is the highest common divisor of 8 and a?
8
Let w = 25 + 119. What is the greatest common factor of w and 18?
18
Let b = -32 + 228. Let o be (56/(-3))/(22/(-33)). What is the greatest common divisor of b and o?
28
Suppose -5*s - b + 2*b + 15 = 0, 0 = -5*s - 3*b + 15. Calculate the highest common factor of s and 6.
3
Let t = 24 + -16. Calculate the greatest common divisor of 16 and t.
8
Let g(s) = -s**3 - 3*s**2 - s + 1. Let k be g(-3). Let r be (k/(-6))/(6/9). Let b = 7 - r. What is the highest common factor of 56 and b?
8
Suppose 806 = 9*v + 77. What is the greatest common factor of 54 and v?
27
Let o(c) = 15*c**2 - 2*c - 4. Let u be o(-2). Calculate the greatest common factor of u and 20.
20
Suppose 4*p - 5 + 1 = 0, -3*p + 291 = 4*c. Let w = 27 + -9. Suppose -4*y = -2*y - w. Calculate the highest common factor of y and c.
9
Suppose -2*u + 4*c + 50 = 0, 2*u = -0*u - 3*c + 36. Let g = -13 + u. Let o be 22*1 - (-2)/(-1). Calculate the highest common factor of o and g.
4
Suppose -9*p + 24 = -p. What is the greatest common divisor of 39 and p?
3
Let z be 10/(-35)*(-81 - 3)/3. Calculate the highest common divisor of z and 24.
8
Suppose 2 = 4*t - 6. Suppose 3*v - 1 = 2. Let k be v/t + 34/4. What is the greatest common factor of k and 9?
9
Suppose -10*w + w = -117. Calculate the greatest common factor of w and 91.
13
Suppose 0 = 5*f + j - 5, 0 = -4*f - 3*j - j + 4. Calculate the highest common divisor of f and 3.
1
Let l(v) = v + 22. Let k be l(-10). Calculate the highest common factor of 48 and k.
12
Let d(y) = 15*y - 234. Let f be d(16). Let r be ((-6)/(-8))/((-2)/(-112)). Calculate the greatest common factor of f and r.
6
Let l = -10 + -14. Let p be (5/15)/((-1)/l). Calculate the greatest common divisor | {
"pile_set_name": "DM Mathematics"
} |
ose -n*c = -3*c - 23. Suppose 5*k = -3*d + 16, 5*d = -4*k - 5 + c. Is 2 a factor of k?
True
Suppose 2*t = -2*t + 8. Suppose 0 = -2*q + t*o - 6*o, 5*q + 4*o = 0. Suppose 2*b - 2 = -q, 0 = -y - b + 4. Is 3 a factor of y?
True
Suppose -202 = -5*f + 143. Is 16 a factor of f?
False
Let y = 251 + -119. Is y a multiple of 33?
True
Let r(y) = -y**3 + 6*y**2 + 8*y - 3. Let x be r(7). Let w be (-6)/x*(-40)/(-6). Let m = 14 + w. Does 4 divide m?
True
Let t(s) = -s**2 - 8*s + 10. Let x(v) = 4*v - 5. Let l(g) = -3*t(g) - 5*x(g). Let y be l(5). Let z = y + -58. Is 16 a factor of z?
True
Let x(k) = -k**2 - 29*k + 36. Is 17 a factor of x(-21)?
True
Suppose 2*c + 3 = 3*c. Suppose 0 = -c*w + 7*w - 116. Does 14 divide w?
False
Let n(m) = 2*m**2 + 2*m + 14. Is 18 a factor of n(-5)?
True
Suppose -6*q + 146 = -64. Does 7 divide q?
True
Let g(p) = 98*p + 1. Let d be g(-2). Let w = -325 - d. Let m = -91 - w. Is 14 a factor of m?
False
Suppose -4*d = -0*d + 4*u - 20, 0 = -2*d - 4*u + 20. Suppose 4*c - 100 = -c - 4*i, d = 5*i - 25. Does 4 divide c?
True
Let c(w) = w**2 + w. Let k(j) = 6*j**2 + 4*j - 1. Let t(z) = -5*c(z) + k(z). Let s be t(0). Does 6 divide 13 - (6/2 + s)?
False
Let r be 12/15*(-15)/(-6). Suppose r*u = -2*l - 2*u + 18, -4*l + u + 45 = 0. Does 3 divide l?
False
Let t = 17 - 26. Let o = -5 - t. Suppose -2*y - 16 = -o*y. Is y a multiple of 6?
False
Suppose -2*r = 5*r + 133. Let v = r - -86. Is v a multiple of 18?
False
Let m = 3 + -8. Let u = 13 + m. Is u even?
True
Let m = 16 - -6. Suppose 0*c + 10 = 5*c. Suppose -c*t + m = -2*h, -t + 2*t + 3*h + 9 = 0. Is 4 a factor of t?
False
Let u be (2 + -1)/(2/6). Let a be -1 - (-47 - (u + -1)). Suppose -4*z + a = -28. Is z a multiple of 12?
False
Let z(r) = 2*r**2 - 7*r + 10. Is z(7) a multiple of 16?
False
Suppose 2*x + 6 = -x. Let m be x*3*3/(-6). Suppose m = g - 5. Does 4 divide g?
True
Let x = -11 - -7. Is 2418/54 - x/18 a multiple of 12?
False
Suppose 125 = -3*l + 389. Is l a multiple of 15?
False
Let y(p) be the third derivative of p**5/60 - p**4/4 + 5*p**3/6 + p**2. Let w be y(5). Suppose 2*r - 106 + 18 = w. Is 13 a factor of r?
False
Is 25 a factor of (-4)/1 - 432/(-8)?
True
Suppose 4*q + 1591 = -4*o - q, -o = 2*q + 394. Is 13 a factor of (-12)/(-16) + o/(-16)?
True
Let l(b) = 0 + 5*b + 2*b**2 - 1 - 2*b. Suppose -9*o + 15 = -4*o. Is 10 a factor of l(o)?
False
Let m(c) = -9*c - 34. Is m(-14) a multiple of 19?
False
Let s = -50 - -9. Suppose -n + 4*n - 207 = 0. Let v = n + s. Does 14 divide v?
True
Let t(b) = 14*b + 2. Let f be t(7). Let x = f + -54. Suppose 0 = 4*r - x + 14. Is r a multiple of 7?
False
Let w(y) = -y**2 - 6*y + 9. Let p be w(-7). Suppose -5*x - 6 = -p*h, -4*h - x + 7 + 5 = 0. Suppose -h*j + 2*j = -4. Is 2 a factor of j?
True
Let f(q) = 17*q - 1. Let m be f(1). Suppose 2*l - m = -0*l. Is 8 a factor of l?
True
Suppose r + 172 = -3*r. Let v = r + 73. Is 7 a factor of v?
False
Suppose k - 4*k - 116 = -q, -4*q = k - 425. Let y = q + -65. Does 14 divide y?
True
Let s = 66 + -36. Does 6 divide s?
True
Let m(a) = -a**3 - 4*a**2 - 5*a + 1. Is 11 a factor of m(-6)?
False
Suppose 0 = 2*n + 3*n + 105. Does 4 divide ((-4)/(-3))/(-2)*n?
False
Suppose 2*w - 126 = -0*w. Is 9 a factor of w?
True
Let u(k) = -6*k + 18. Let w(b) = -7*b + 19. Let i(g) = 6*u(g) - 5*w(g). Let q = -1 + 1. Is 8 a factor of i(q)?
False
Suppose s = 4*q - 35, -3*q + 2*s + 10 = -2*s. Let g = -23 - q. Is 9 a factor of (1*-2)/(6/g)?
False
Let g = -44 + 78. Suppose -3*m + 5*y + g + 59 = 0, 5*m - 183 = -y. Does 12 divide m?
True
Let u(a) = -10*a + 3 + 8 + a**2 + 2. Suppose 4*q - 39 = -3*t, 3*q + q - 3*t - 33 = 0. Is u(q) a multiple of 4?
True
Let v be 6/8 + (-3)/(-12). Let d = v + 8. Suppose 0 = k - 0*k - d. Does 9 divide k?
True
Let v = 16 + 9. Is 4 a factor of ((-10)/v)/(1/(-10))?
True
Suppose -4*x - 2*v = -20, -5*v + 4*v = -2. Suppose -63 = x*s + 57. Does 13 divide (-12)/s - (-256)/10?
True
Suppose -5*r + 117 - 42 = 0. Suppose -s + r + 13 = 0. Is s a multiple of 7?
True
Suppose -3*a + 170 = 2*a. Is a a multiple of 17?
True
Let k(j) = -4*j + 5. Suppose m + 5 = -1. Let p(u) = -8*u + 11. Let r(h) = m*p(h) + 14*k(h). Is 19 a factor of r(-6)?
False
Let f = 56 + -26. Is 15 a factor of f?
True
Let u(j) = 3*j**2 - 3*j + 1. Let d(v) = 2 - 2*v**2 + v**2 + 5*v - 2*v - 2*v. Let o be d(0). Is 7 a factor of u(o)?
True
Let p(u) = -u**3 - 2*u**2 + 2*u + 3. Let n be p(-6). Suppose 5*s = 5*r - n, 6*r - s - 123 = r. Is 9 a factor of r?
False
Let k = 186 - 125. Let i = k + -35. Is 13 a factor of i?
True
Suppose 0 = 5*n + 2*g - 3187, -2*n - 2*g = -0*n - 1276. Is 19 a factor of n/14 - 6/4?
False
Suppose -4*n + 2*g + 292 = -2*g, g + 142 = 2*n. Is 23 a factor of n?
True
Suppose 2*z + 29 - 87 = 0. Does 29 divide z?
True
Let j be 7 + 5/(10/(-4)). Suppose j*t - 4*t - 13 = 0. Is 13 a factor of t?
True
Suppose -60 = -5*b + 2*o, -5*o = b + 4*b - 60. Let y(u) = u**2 - 9*u - 14. Is 6 a factor of y(b)?
False
Let x(w) = w**3 - 6*w**2 + 6*w - 7. Let r be x(6). Let l = -15 + r. Is l a multiple of 7?
True
Let n(b) = -b**2 + 7*b - 1. Let y be n(6). Let s(a) = 7*a**2 - a - 8. Let z(l) = 6*l**2 - 2*l - 7. Let p(h) = 5*s(h) - 6*z(h). Is p(y) a multiple of 6?
True
Let v(s) = -s - 11. Let l be v(-9). Let b = l - -15. Let m = b - 8. Is m a multiple of 3?
False
Let d(s) = s + 11. Suppose -2*q - 9 = -3*q. Let c be d(q). Suppose 4*n + 4*w = 76, -w + c = -6*w. Does 12 divide n?
False
Let o be (1 + 0)/((-3)/(-9)). Let u(n) = n**2 - n - 1. Let k(s) = -s**2 + s + 1. Let l(x) = -6*k(x) - 5*u(x). Is l(o) a multiple of 2?
False
Let k(x) = 7*x**2 + x - 5. Is k(-3) a multiple of 24?
False
Let h(n) be the second derivative of -n**8/6720 + n**7/420 - n**6/180 - n**5/60 + n**4/6 + 2*n. Let y(f) be the third derivative of h(f). Does 13 divide y(4)?
False
Let v(d) = -d. Let w be v(-6). Let z(r) = 10*r + 11. Is z(w) a multiple of 20?
False
Suppose -20 = -3*a - 2*a. Suppose 4*y + a = 6*y. Let z(q) = 14*q - 2. Is z(y) a multiple of 13?
True
Let h(z) = -z**2 + 5*z + 6. Let y be h(6). Let p = -64 + 159. Suppose 7*w - 2*w - p = y. Does 19 divide w?
True
Let c(w) = w**3 + 4*w**2. Let x be c(-4). Let b = x + 5. Does 5 divide b?
True
Let k = -11 - -38. Let w = k + -12. Is 15 a factor of w?
True
Suppose x - 156 = -44. Suppose 3*l - x = -l. Is 14 a factor of l?
True
Let k = 1 + -9. Let v = k + 12. Suppose -f = v*t - t - 17, 3*f - 3 = 3*t. Is 2 a factor of t?
True
Let q(c) = -2*c**3 - 5*c**2 - 3*c. Let n be q(-3). Is 12 a factor of 6/n - (-107)/3?
True
Suppose 2 = -2*n + 8. Suppose x = -n*x. Suppose x = -0*y + 4*y - 44. Does 5 divide y?
False
Suppose 5*h - 2*h - 3 = 0. Let r be 3 - ((h - -1) + -3). Suppose -5*z + 38 = -r*z. Is z a multiple of 17?
False
Suppose 4*z + 3*o - 296 = 0, 2*z - 4*o - 148 = o. Is 14 a factor of z?
False
Let h(k) be the second derivative of k**4/12 + k**3/6 + 9*k**2/2 + 2*k. Suppose 0 = -5*g - 0*g. Is 9 a factor of h(g)?
True
Is 7 a factor of (28/8 + 0)*10?
True
Let i(o) = -o**3 - 5*o**2 - 2*o - 1. Let b be ((-9)/(-4))/(3/8). Suppose -b*r = -2*r + 20. Is i(r) a multiple of 3?
True
Let v = 11 - 8. Suppose 33 = v*p - 0*p. Is p a multiple of 3?
False
Suppose 5*u = i - 12, -3*u = -2*i + 5*i - 72. Suppose 0 = -c + i - 5. Is 17 a factor of c?
True
Suppose 2*u = 7*u - 35. Is 4 a factor of u?
False
Let g be (-2 + (-20)/(-8))*1062. Suppose 7*r - 43 = g. Is r a multiple of 20?
False
Let r be ((-32)/6)/((-4)/6). Let w = r + -2. Is w a multiple of 3?
True
Let z = 1 + 3. Let u = 0 + z. Suppose 4*h - 4*o = -h + 90, 4*h - 68 = u*o. Does 8 divide h?
False
Let p be (-3)/((-27)/(-12) + -3). Let l(k) = 4*k - 6. Does 5 divide l(p)?
True
Suppose 7*r = 39 + 185. Does 8 divide r?
True
Let g(b) = 2*b**2 - 2*b. Suppose -4*t = -0*d + 5*d + 22, -17 = 3*t + 4*d. Does 12 divide g(t)?
True
Is 99/6*(-8)/(-6) a multiple of 8?
False
Is 3/3*1*57 + 3 a multiple of 20?
True
Suppose 4*t = -2*w + 6*w - 236, 3*w - 4*t = 176. Suppose 0 = -4*d - 3*s + 26, 3*d + 4*s - 9 = 14. Suppose -15 = -d*q + w. Does 15 divide q?
True
Is 29 a factor of -4 + (3 - -4) + 113?
True
Let f = 49 - 28. Suppose f = l - 4. Does 10 divide l?
False
Suppose -3*y + 7*b + 129 = 2*b, -4*y - 4*b = -172. Let n = y + -24. Does 6 divide n?
False
Suppose -4*l - y = -173 - 54, -2*y + 230 = 4*l. Let g = -17 + l. Is 21 a factor of g?
False
Let r = -49 - -131 | {
"pile_set_name": "DM Mathematics"
} |
397/31)
Simplify (q*q*q/(q**(-2)*q)*q/q**(2/3)*q)**(2/39)/((q**(2/11)*q*q)/q**(1/8))**(25/4) assuming q is positive.
q**(-518161/41184)
Simplify ((s/(s**(2/3)*s))**(-10/9)/((s*(s/(s/s**(5/4))*s*s)/s)/(s/s**(-1))))/(s**(2/3)*s**(-1/4)/s*(s**6/s)/(s**3/s)) assuming s is positive.
s**(-79/27)
Simplify (x**0)**(-1/43)/(x/(x*x*(x*(x*x**(2/5))/x)/x*x))**1*(x**(2/7))**(-31)*x**(-5/3)*x*x**(-1/6) assuming x is positive.
x**(-1531/210)
Simplify (((u/u**0)/u**3)/(u/u**(3/7)*u*u**(-2)*u))/((u*u*(u**(-4)/u)/u)**(-31))**(1/4) assuming u is positive.
u**(-235/7)
Simplify ((k**(-2)/k)**47/(k/k**(-5))**(3/4))**(4/23) assuming k is positive.
k**(-582/23)
Simplify (((c/c**2*c*c)/c)**(-21)*c**(-8)*((c/(c**13*c*c)*c)/c)/c)**(2/3) assuming c is positive.
c**(-46/3)
Simplify (((m**(-1/9)*m*m)/m*m*m)/(m/((m*m**(-3/7)/m*m)/m)))/(m**(1/27)/m*m)**28 assuming m is positive.
m**(80/189)
Simplify ((o**1/o)**(1/61)/(o**1)**(2/35))/((o**1)**(3/25)*o*o**4/o*o**(-7/4)) assuming o is positive.
o**(-1699/700)
Simplify ((y/y**(-2/17))**(-26)/((y*y*y**20)/y**(-15)))**(2/3) assuming y is positive.
y**(-2246/51)
Simplify ((b/(b/b**(3/4)))/(b/(b**(-6/19)*b)*b)*(b/b**23*b)/(b/b**7))**(2/5) assuming b is positive.
b**(-1183/190)
Simplify (k**37*k*k)**30*k**(-26)/(k**15/k) assuming k is positive.
k**1130
Simplify (((i**(-9/2)/i**(1/8))/(i**13/(i*i**(1/11))))**(2/41))**(-1/44) assuming i is positive.
i**(1455/79376)
Simplify ((p**(6/7)*p*p*p**(-9)*p*(p**(-2))**(-46))**31)**(-5) assuming p is positive.
p**(-94240/7)
Simplify ((u*u/(u/(u**(2/9)/u)))**(-46)/(u**(-1/4))**(-7))/((u/u**8)/(u/(((u**3*u)/u)/u))*(u*u**(-7)/u)/u**4) assuming u is positive.
u**(181/36)
Simplify (((((a/(a*a*a**(-1))*a*a)/a*a)/a)/a**(-15))/(a**(5/2)*a**(-6)))**8 assuming a is positive.
a**156
Simplify (w**(-3/2)/(w*w**0/w)*(w/((w**(-1)/w)/w)*w)/(w/(w/(w/(w/((w**(6/7)*w)/w)*w)))))/(w**2/(w*w**(-6)*w)*(w*w**(-1/2)/w)**(1/20)) assuming w is positive.
w**(-653/280)
Simplify (i/(((i*i**(-3/4))/i*i)/i)*i*i**(-1/20))/(i**(2/3))**(-40) assuming i is positive.
i**(881/30)
Simplify ((v*v/v**(-2/7))/v)**(-49)*v/v**(2/15)*(v**(-8)*v)/v*(v*v**(-9)*v**3)**(-7/13) assuming v is positive.
v**(-13151/195)
Simplify ((f/(f/(f/f**4))*f*f*f*f**(-1/5)*f*f*f**(-1/3)*f**3)**11)**(-48) assuming f is positive.
f**(-11792/5)
Simplify (((((n**(9/4)/n)/n)**(-13/4))**(-1/12))**(1/7))**(-9/4) assuming n is positive.
n**(-39/1792)
Simplify x*x**(-2/17)*x/x**26*x*((x*x**(-12))/x)**9 assuming x is positive.
x**(-2229/17)
Simplify (u*u/u**2*u*u**6)/(u*u/u**1*u*u*u**3*u)*((u**(-3)/u)/(u**5/u*u))**(-20) assuming u is positive.
u**180
Simplify ((t**(2/3)*(((t**(-13/3)/t)/t)/t)/t)/(t/t**7)**(-20))**(-2/5) assuming t is positive.
t**(766/15)
Simplify (((r/(r/(r/r**19*r)))/r)/(r**(-7/6)/r)*(r**(-2))**(-36))**43 assuming r is positive.
r**(14491/6)
Simplify ((q*q**(-1)*q*q)/q**(-4))**2*q**4/q*(q**(2/5)*q)/q*((q/(q**2*q))/q)/(q*q*q**(-6)*q*q) assuming q is positive.
q**(72/5)
Simplify ((u/u**(-1/3))/u)**0*(u*u/u**(-2/19)*u*u)/(u*u*u**7)*u**(-1)*u*u**(-3)*(u*u**(2/3)/u)**(-38) assuming u is positive.
u**(-1894/57)
Simplify ((g**(-42))**(-16/9)/(g**(25/4))**48)**(2/33) assuming g is positive.
g**(-1352/99)
Simplify (((n*n**(1/8))/n**(2/7))/(n**0*n*n*(n*n/(n*((n/n**(-5))/n)/n*n*n))/n*n))/((n**0)**(-1/15)/(n**6/n**(3/5))) assuming n is positive.
n**(2587/280)
Simplify (u**(-2/31)*u)/u**7*(u/u**39)/u**31 assuming u is positive.
u**(-2327/31)
Simplify ((((x**0/x)/x)/x)/(x*x**8*x))**(-14)/(((x*x**7/x)/x**(-1/7))/(x**1*x*x)**(6/5)) assuming x is positive.
x**(6246/35)
Simplify ((q**(-1/3))**(-2/3))**19/(((q**(-2/5)/q)/q*q*q*q)/q**(-6)*(q**(-1/6)*q*q)/q**(3/4)) assuming q is positive.
q**(-623/180)
Simplify (p**(-1/4)*p**(-2/7)*p**(1/9)/p**(-4/7))/((p*p/p**6)/p**(-2/11))**(-20/3) assuming p is positive.
p**(-70153/2772)
Simplify ((((t**20)**36)**(-16))**(-6/13))**11 assuming t is positive.
t**(760320/13)
Simplify ((f**(-2/7))**(4/15))**(-14/9)*f**(-5)/f**(-2/9)*f**(-1/6)/(f*f**0*f*f) assuming f is positive.
f**(-2113/270)
Simplify ((h*h*h/h**(2/7))/h**(-6)*h**(2/17)/h**2)/((h/(h**(6/11)*h*h))/(h*h/(h**(3/5)/h)))**(-26) assuming h is positive.
h**(-626683/6545)
Simplify ((i*i*i**1)**(-30))**34/((i**(-2/3))**(-38)/(i**3/i*i*i**(-3)*i)) assuming i is positive.
i**(-9253/3)
Simplify ((t*t/t**1)**(-2/17))**9*t/((t*t**(-3/5)*t*t*t*t*t)/t)*t*t**(2/7)*(t**0)**(3/22) assuming t is positive.
t**(-1888/595)
Simplify (d**(-2/21)*d*d*d*d**(7/2)*d*(d**(2/21))**42)**(2/45) assuming d is positive.
d**(479/945)
Simplify (((f**(1/3)*f*f*f**(2/13))/(f**6*f/f**(-5)))**(-3/5))**(-28) assuming f is positive.
f**(-10388/65)
Simplify ((p*p**(1/4)*p)/p**(-2/17)*(p*p**6*p)/p*p*p/((p**(-1/29)*p)/p))**(-9) assuming p is positive.
p**(-202365/1972)
Simplify ((h/(h/(h*h**(-2/9))))**(8/7)/(h**25*h*h**(-10/13)*h))**8 assuming h is positive.
h**(-23720/117)
Simplify ((((b*(b*b/(b/(b**5/b*b)))/b)/(b**(-3/4)*b))**(-2/45))**(-12/11))**(19/3) assuming b is positive.
b**(874/495)
Simplify ((m/(m*((m**9*m*m*m)/m)/m*m))/m*m/(m/(m*m*m**(-15)))*m**(-10)*m**17)**(-2/49) assuming m is positive.
m**(36/49)
Simplify (r**(1/16)*r**(-1/3)*(r*r**0)/(r**(4/3)*r))/((r**(-5)*r/(r/r**(-1/2)))/((r/r**(-2))/r**(-1/6))) assuming r is positive.
r**(113/16)
Simplify (z/(z/(z**16/z)*z)*z*z*z*z/(((z*z/(z/((z/(z**1/z)*z)/z))*z)/z)/z)*(z*z/((z/(z*z**(1/2)*z)*z)/z))**(-45))**(-21/5) assuming z is positive.
z**(5901/10)
Simplify ((l**(-3/4)/l*l*l*l/(l/(l/(l*l/(l*l/l**(4/7))))))/(l**3*(((l*l**(-5))/l*l)/l)/l))/((l/(l/((l/(l*l**4*l))/l*l))*l)/l**6)**(-11) assuming l is positive.
l**(-2977/28)
Simplify ((k*k*k**(4/9)*k)**22)**(-5/4)/(k**(-4)*k**(3/7)*(k**(2/5)/k)/k**3) assuming k is positive.
k**(-55157/630)
Simplify (f**(-1/4))**(15/4)/(f*f**(-1/3))**(-2/5)*(f*f**0*f)**(2/39)/(f**(-1))**(-39) assuming f is positive.
f**(-41151/1040)
Simplify ((w/w**(3/8)*w**(-14/11)*w)**(-3))**(-47) assuming w is positive.
w**(4371/88)
Simplify ((z*z/((z*z**(5/2)*z)/z)*z)/(z**(2/37)*z))**(1/61)/((z**(-4)*z**(5/6))/(z**(-5/7)/((z**(-2/7)*z)/z))) assuming z is positive.
z**(128570/47397)
Simplify (((p**(4/3))**(3/2)*(p/(p*p/(p/(p*p/p**(2/7))))*p)**(-15))**(-2/63))**(-26) assuming p is positive.
p**(4628/441)
Simplify (o/o**(-5)*o)**(-38)*o**(-1/14)/o**37 assuming o is positive.
o**(-4243/14)
Simplify ((y**(-2/3)*y)**(4/7)/((y*y/(y/((y**3*y*y)/y))*y*y)/(y**(-2)*y*y)))/((y**(-2/13)/(y/(y**(1/6)/y)))/(y*y/(y*y**2)*y*y**(-1/7))) assuming y is positive.
y**(-2711/546)
Simplify (z**(-1)*z)**(-6/13)*(z/((z**2/z)/z))/z**(-1/8)*(z*z*z**0*z)**(-2/31)/((z*z*(z*z/z**(-7)*z)/z)/(z/(z*z**(-2)*z))) assuming z is positive.
z**(-2249/248)
Simplify (((d**(-12))**28)**(-12/5))**(4/17) assuming d is positive.
d**(16128/85)
Simplify (n*n/(n/(n**(6/7)/n)*n)*(n*n/(n/((n**(-1/4)*n)/n))*n)/n*(n**(-2/17)*n)/n**0)**(3/28) assuming n is positive.
n**(2127/13328)
Simplify (k**(25/6)/k)/(k**19/k)*k/((k**(-22)/k)/k)*k*k**(-24)*k assuming k is positive.
k**(-71/6)
Simplify (g**(1/18)/g**(3/16)*(g**3*g)**19)**13 assuming g is positive.
g**(142025/144)
Simplify ((i*i**(-14/9)*i**(-8))/(i/(i/(i**(-4/13)/i)*i)*(((((((((i**(1/6)/i)/i)/i)/i)/i)/i)/i)/i)/i)/i*i))**(-2/29) assuming i is positive.
i**(-605/3393)
Simplify ((k*k/k**(-2/71))/k*(((((k/(((k**(-36)/k)/k)/k)*k)/k)/k)/k)/k)/k*k**(-10/7)/(k*k**(2/3)*k))**41 assuming k is positive.
k**(2013223/1491)
Simplify (w**(3/22))**(2/7)/((w*w*w**(5/6)*w)/(w/(w/(w*w*w/w**(-13/3)*w)))) assuming w is positive.
w**(699/154)
Simplify (((h*(h*h**(-10)*h)/h*h)/((h/h**(-13))/h))/(h*h*h*h*h**6*h*h*h/(h/(h*h*h**7/h*h*h)*h)))**11 assuming h is positive.
h**(-451)
Simplify (n**(3/8)/(n*(n*n**(-1/10))/n)*(n**(-6)*n)**32)**(3/13) assuming n is positive.
n**(-19263/520)
Simplify ((j**0)**(30/13))**(-1/5)*(((j*j*j**(1/4))/j)/((((j**1*j*j)/j)/j)/j))**(-6/23) assuming j is positive.
j**(-15/46)
Simplify ((d**(-18)*d*d**(-8)*d)/(d*d*d**(-1/17)*d**(-6/5)/d))**(-4/21) assuming d is positive.
d**(8072/1785)
Simplify ((w**1)**(-2/23))**(2/23)*((w*(w*w*w**(1/6)/w)/w*w*w)/w*(w/(w*w**(-1/13)/w*w))/w)**(-3/8) assuming w is positive.
w**(-52145/110032)
Simplify ((m**5*m)/((m/(m*m**(-1)))/m)*m**(-4)/m**(-6))/((m*m/((m*(m/(m/m**(2/3)))/m)/m)*m)/((m**(-4)*m)/m))**(-11/3) assuming m is positive.
m**(314/9)
Simplify (i*i**(11/4)*i/((i/i**(5/3))/i))/(i/i**(-5)*i/((i**5*i) | {
"pile_set_name": "DM Mathematics"
} |
*i)*(3*i + 0*i - i) + (3 + 0 - 2)*(-7*i**2 - 6*i**2 + 4*i**2) in the form h*i + k + y*i**2 and give y.
-13
Express (17 - 33 + 4*c - c**2 + 18)*(0*c**2 - c**2 + 2*c**2) + (-2*c**3 + 10*c**3 - 6*c**3)*(0*c - 3*c + 2*c) as w + t*c**3 + y*c**4 + a*c + n*c**2 and give a.
0
Rearrange -r**2 + r**2 - 3*r**2 + (-2*r - 1 + 1)*(-r + 0*r + 3*r) - 2*r**2 + 4*r**2 - r**2 + 3*r**2 + r**2 - 3*r**2 to k*r + f*r**2 + w and give k.
0
Express -n**4 - 6*n**2 + 2*n**2 + 1 + 0*n**2 + 2*n**2 as f + g*n + s*n**4 + j*n**3 + c*n**2 and give s.
-1
Express (0*l + l - 2*l)*(l - 5*l + 2*l) + 2*l**2 + l - l - 2*l**2 + 2*l**2 + 3*l**2 in the form h*l**2 + n + w*l and give h.
7
Express -2*o**3 - 10 + 23 - 17 + 4*o**4 in the form i*o + p*o**4 + v*o**3 + g + d*o**2 and give g.
-4
Rearrange -2*a + 8*a - 43*a - 10*a to s + v*a and give v.
-47
Express (j + 3*j - 2*j)*(-1 + 2 - 2) + j - j + 3*j + (-5 + 6 - 5)*(2*j - 3*j + 2*j) in the form m*j + u and give m.
-3
Rearrange (0*p - 3*p + 2*p)*(-6*p**3 + 3*p**3 + p**3) + 2*p**4 - p + p + 0*p**2 + 5*p**2 - 7*p**4 - 3*p**2 to i*p**2 + w + l*p**3 + y*p + r*p**4 and give r.
-3
Express 22*m**2 + 21*m**2 + 64*m**2 in the form i*m**2 + b + t*m and give i.
107
Express (0*a**2 - 2*a**2 + a**2)*(-9 - 4 - 5) in the form y*a**2 + v*a + l and give y.
18
Express (4*v**4 - 3*v**4 + 0*v**4)*(191 - 86 - 82) + (-3*v + 3*v + v**2)*(0*v**2 + 0*v**2 + 2*v**2) in the form k*v**4 + h*v**3 + r + b*v + c*v**2 and give k.
25
Rearrange 188*k - 89 + 89 to the form u + j*k and give j.
188
Express a - 13 - 15 + 8 in the form p*a + u and give p.
1
Express 4*d**2 - 3 - 1 + 3*d**4 - 4*d**2 - 2*d**3 as b*d**2 + n*d + o*d**3 + f + x*d**4 and give x.
3
Express -2*h - 18*h - 4*h - 8*h in the form w*h + r and give w.
-32
Rearrange -3 + 3 - g**2 + (-2 - 3*g**2 + 2)*(-1 - 1 + 1) + ((g - 4*g + g)*(-4 - 1 + 6) - 5*g + 6*g + 30*g)*(g - g - g) to u*g + m*g**2 + i and give m.
-27
Rearrange h + 2*h + 2*h + (-2 + 1 - 1)*(-2 + 2 + 3*h) + 4*h - 5*h + 0*h + (-3*h + 6*h - 4*h)*(-1 + 0 + 2) - 2*h + 3*h - 3*h to the form u + p*h and give p.
-5
Express -1784*h - 1 - 2 + 1782*h as o + a*h and give a.
-2
Express -7*m + 4*m + 0*m as u + s*m and give s.
-3
Express -63*p**4 - 1 + 65*p**4 + 4*p**2 - 3*p**2 + 3*p**3 in the form c*p + q*p**3 + r + m*p**2 + v*p**4 and give m.
1
Rearrange -6 + 4 + 0*d**4 + 2*d**4 - 3*d to m + b*d**2 + n*d**4 + k*d + v*d**3 and give k.
-3
Express -c**3 + 4*c**4 - 2*c**4 - 2 + 2*c**3 as g + m*c + l*c**2 + i*c**3 + p*c**4 and give p.
2
Express (4*h - 8*h**2 - 4*h)*(-2*h**2 + 3*h - 3*h - 4*h) in the form x*h**3 + f*h + t + v*h**4 + s*h**2 and give v.
16
Rearrange (0*q + 0*q + 2*q**2)*(3 + 3*q - 3)*(1 + 1 + 3)*((1 + 4 - 7)*(-1 - 1 + 0) + 1 - 4 + 2) to the form p*q**3 + o*q**2 + d*q + h and give p.
90
Rearrange -3*b + 31*b**2 + 2 + 3*b - 46*b**2 to the form s*b + k*b**2 + i and give k.
-15
Rearrange v**3 + 6 - 2 - 5*v**3 - 9 to the form p + s*v**2 + h*v**3 + l*v and give p.
-5
Express -2 + 351*o + 3*o**2 + 3*o**4 - 354*o + o**2 - 2*o**4 as t*o**3 + x*o**2 + v + a*o**4 + w*o and give x.
4
Rearrange (-19*n**3 + 91*n**2 - 91*n**2)*(7*n - 6 + 6) + (2*n - 2*n**2 - 2*n)*(4*n**2 - 3*n**2 + 0*n**2) to w*n**3 + c*n**4 + i*n**2 + s + q*n and give c.
-135
Rearrange -4*t**2 - 4*t**3 + 2*t**2 - 14*t + 5*t**3 + 12*t to w*t + o*t**2 + p + q*t**3 and give o.
-2
Rearrange -28 + 28 - 11*i**2 to n + r*i**2 + t*i and give r.
-11
Express -6*i + 348 - 348 as m + o*i and give o.
-6
Express (55 + 14 + 11 - 32)*(0*k**4 - 4*k**4 + 2*k**4) as i*k**4 + o + j*k**3 + g*k**2 + z*k and give i.
-96
Express (0*s - s - 5*s)*(0*s - 5*s + 0*s + 6*s) as r + w*s + i*s**2 and give i.
-6
Rearrange ((0 + 1 - 3)*(2 + 2*k - 2) - 5*k + 5*k - k)*(2 + 2 + 0 + (1 + 1 - 1)*(-3 + 3 - 2) - 3 - 3 + 4 + 2 - 2 + 1 + 0 - 1 - 1) to b*k + n and give b.
5
Rearrange -4*t**2 - t**3 + 2 + 3*t**4 + 0*t**3 + 5*t**2 + t**2 to u*t + z*t**2 + a*t**3 + k*t**4 + g and give z.
2
Express -3*y**2 - 11 + 2*y**4 - 2*y**4 - y - 3*y**4 - 2*y**3 + y**2 as m*y + a*y**3 + c*y**4 + l*y**2 + n and give a.
-2
Rearrange 285 - 285 + 21*c to the form l + w*c and give l.
0
Express (-15 + 25 - 14)*(i + 3*i - i) in the form b*i + o and give o.
0
Rearrange (-1 - 2*k + 1)*(-2 + 28 + 6)*(4*k**2 - 1 + 1) to the form a*k**2 + l*k**3 + t + y*k and give l.
-256
Rearrange -50*t + 11*t - 51*t - 25*t to the form h*t + q and give h.
-115
Rearrange -17 + 21 + 7 + 2*j to h + a*j and give a.
2
Rearrange (-a**2 - 2*a**2 + a**2)*(-2 + 2 - 2*a**2) + a**4 + 15720*a**2 - 15720*a**2 + 31*a - 2 to the form w*a**2 + t*a**4 + v*a**3 + k + n*a and give t.
5
Express ((-2 + 3 + 0)*(-1 - 2 + 1) - 2 - 1 + 1 - 1 - 2 + 2)*(-2*g + 2 - 2)*(-5*g + 2 - 2) as z*g + b*g**2 + h and give b.
-50
Rearrange (0 + 2 - 5)*(-12*u - 47 + 47) to the form w*u + z and give z.
0
Express -4*g - 3*g**2 + g - 4*g + 4*g in the form b*g + w + j*g**2 and give j.
-3
Rearrange -4*d - 8 - 2*d + 11*d + 4*d - 4*d + d + (0 + 0 + 3*d)*(2 + 1 - 1) to h + u*d and give u.
12
Express 2*c**3 - 3*c + 3*c + (0*c - 5*c + 4*c)*(-2 - 2*c**2 + 2) + 5*c**3 + 0*c**3 - 3*c**3 - 2*c**3 - 3*c**3 - 2*c**3 as d*c + n*c**2 + w*c**3 + m and give w.
-1
Rearrange 1 - 1 - 2 + i**4 - 4*i**4 + 3*i**2 to the form m*i**2 + c*i**4 + b*i**3 + o*i + r and give c.
-3
Rearrange 2*s + 26 + 5*s - 28 to v + b*s and give b.
7
Rearrange (-t**3 + 0*t + 0*t)*(-8 - 20 - 104) to b*t**2 + i + h*t + a*t**3 and give b.
0
Rearrange 139 + 2*h**2 + 16*h - 139 to s*h**2 + p*h + r and give s.
2
Rearrange x**2 - 3*x**2 - 2*x**2 + (3*x - 2*x - 2*x)*(0*x + 2*x - x) + 10 - 4*x**2 - 10 to the form f + i*x + k*x**2 and give k.
-9
Express 2*j - 7*j + 2*j + 2*j - 2*j + 2*j + (1 - 1 - 2)*(-3 - 2*j + 3) + (2 - 2 + 2)*(-2 + j + 2) - 3*j + 2 - 2 as t + m*j and give m.
2
Express (3 + 0 - 1)*(-v - 5 + 6 - 2) - v + 0 + 0 in the form q*v + u and give u.
-2
Express 2*n + 12*n - 74*n as d*n + j and give d.
-60
Express -586 + 64*r**3 + 588 - 12*r**3 in the form y + a*r**2 + p*r + q*r**3 and give q.
52
Rearrange 45*s - 45*s - s**4 + 2*s**3 + 3*s**2 to the form w + h*s**4 + d*s + c*s**3 + f*s**2 and give c.
2
Rearrange -32*t - 6 + 1 + 2 to o*t + q and give q.
-3
Rearrange (3*m**3 - m**3 - 3*m**3)*(2 - 2 + m) + 17*m**4 + 12*m**4 - 46*m**4 to the form g*m**2 + i*m**3 + p*m + j*m**4 + t and give j.
-18
Rearrange m**3 - 4*m**2 + 4*m**2 - 297*m - 23*m**3 + 297*m + (3 + m - 3)*(-2*m + 2*m**2 + 2*m) to c*m**2 + a*m**3 + p + b*m and give a.
-20
Express -l**2 + l**2 + l**4 + 3*l - 3*l - 3*l**4 + (-5*l**3 + l**2 - l**2)*(-l + 6*l + 0*l) in the form n*l**4 + s + k*l + j*l**2 + r*l**3 and give n.
-27
Rearrange ((-2*t + 2*t - t)*(-5*t**2 - 4*t**2 - 13*t**2) - 3*t**3 - 2*t**3 + 4*t**3)*(-3*t - 2 + 1 + 2*t) to s*t**4 + n + c*t + r*t**2 + x*t**3 and give x.
-21
Rearrange -3 - 4*d**3 - 162*d**2 + 162*d**2 to p*d + o*d**3 + l + w*d**2 and give w.
0
Express -6*u**3 + 2*u**3 + 5*u**3 - 2*u**3 + 5*u**3 - 4*u**3 + (0 + u + 0)*(4*u**2 + 0*u**2 - 5*u**2) + 47 - 47 - u**3 as z*u**3 + c*u + q + d*u**2 and give z.
-2
Rearrange (-2*a**4 - a + a)*(0 + 1 + 1) - 47*a**4 - 5 + 3 + 42*a**4 to the form g*a + q*a**3 + l*a**4 + v + z*a**2 and give v.
-2
Express -v + 54*v + 6 - 4 in the form r*v + c and give r.
53
Rearrange -7*s + 3*s - 29*s to the form t*s + d and give t.
-33
Express -22*u - 3*u**2 + 5*u**2 + 1 + 12*u + 2*u**3 as t*u**2 + q*u + p + i*u**3 and give t.
2
Express 5 - 4 + 0 - 35*g in the form i + k*g and give k.
-35
Express -s + 3*s + 719*s**4 - 714*s**4 + 4 in the form x + l*s + b*s**4 + i*s**3 + c*s**2 and give b.
5
Rearrange (-1 - 2 + 2)*(-1 + 4 - 15 + (1 - 1 + 1)*(-3 - 4 + 5) + 3 + 1 - 2)*(0 + 2*r + 0) to the form v + q*r and give q.
24
Rearrange (-2*r**2 + 4*r**2 + 0*r**2)*(-1 + 3 + 0)*(0 + 1 + 1)*(-r + 5*r + 2*r) to q + j*r**3 + d*r + u*r**2 and give j.
48
Rearrange 0*x**2 - 3*x**2 - 3*x + 2*x**3 + 6*x**2 - x**2 to the form z*x**2 + m*x + l + r*x**3 and give m.
-3
Express -4*o**2 + 14*o - 9*o**2 - 12*o**2 + 27*o**2 in the form u*o + w*o**2 + h and give u.
14
Express -3*x + 3*x - 32*x**2 - 1 - x**3 + 33*x**2 in the form g*x**2 + q*x**3 + k*x + y and give k.
0
Rearrange 0 + 5*g - 2 + 3 - g**3 to the form v + c*g**3 + q*g**2 + a*g and give c.
-1
Rearrange 0*i - 4 + 8*i + 3 + 5 to y*i + x and give y.
8
Express -2*t - 8 - t + 6 - t + 0 + 0 + (t - t + 2*t)*(0 - 2 + 0) + 0*t + 2*t - t in the form f*t + c an | {
"pile_set_name": "DM Mathematics"
} |
, 0*p = -4*p + c + 19. Suppose 4*j - 4*q = 32, j + 3*q = -2*j + p. Let o(z) = -j - z + 5. Let d(w) = 2*w**2. Determine o(d(g)).
-2*g**2
Let x(v) = -62*v. Let y(i) = 4*i. Determine y(x(a)).
-248*a
Let n(o) = o**2. Let c = -3 + 6. Let m(p) = 3*p - 5*p + c*p. Give n(m(r)).
r**2
Let f(z) = 1. Let m(b) = 3*b - 9. Let s(o) = -1. Let y(n) = -m(n) + 18*s(n). Let v(x) = 9*f(x) + y(x). Let h(p) = 3*p. Determine h(v(t)).
-9*t
Let f(j) = j. Let z(i) = -2*i**2 + 5*i. Let n(w) = -3*w**2 + 6*w. Let o(g) = 5*n(g) - 6*z(g). Determine f(o(c)).
-3*c**2
Let z(g) be the second derivative of g**3/6 + 4*g. Let x(l) = -80*l**2. Determine x(z(c)).
-80*c**2
Let y(m) = -2*m. Let q(a) = a + 2*a - 5*a + 0*a. What is q(y(v))?
4*v
Let p(i) be the first derivative of i**6/180 + 4*i**3/3 - 1. Let x(m) be the third derivative of p(m). Let t(g) = 3*g. Determine x(t(y)).
18*y**2
Let w(l) = 2*l. Let k = 50 + -50. Let j(d) be the second derivative of -d - 2/3*d**3 + k*d**2 + 0. Give w(j(t)).
-8*t
Let f(s) be the third derivative of s**5/30 - 6*s**2. Let v(w) = 0*w + 2*w + 0*w + w. Calculate v(f(i)).
6*i**2
Let o(m) = -13*m**2. Let c(z) = -z**3 + 8*z**2 - 5*z - 9. Let w be c(7). Let n(v) = -v + w*v - 3*v + v. Determine o(n(l)).
-52*l**2
Let s(u) = 10*u. Let c(w) = 3*w + 2. Let k(v) = -10*v - 7. Let r(a) = 7*c(a) + 2*k(a). What is r(s(n))?
10*n
Let o(j) = -j**2. Let r(z) = 2971*z**2. Calculate o(r(w)).
-8826841*w**4
Let h(a) = -2*a**2 + 2*a + 2. Let z(o) = -o**2 - o - 1. Let r(f) = -h(f) - 2*z(f). Let j(c) = -2*c. What is j(r(k))?
-8*k**2
Let z(a) = -4*a**2. Let y(w) = -16*w. What is y(z(s))?
64*s**2
Let m(s) = s. Let i(w) = -16*w + 2. Let q(x) = 33*x - 5. Let t(d) = -5*i(d) - 2*q(d). Give t(m(u)).
14*u
Let k(f) be the second derivative of f**4/12 + f. Let j(o) = -2*o. Let w(n) = n. Let a(u) = 6*j(u) + 11*w(u). What is a(k(g))?
-g**2
Let r(u) = 3*u. Let l(w) = 791*w**2. Give r(l(j)).
2373*j**2
Let h(p) be the third derivative of -p**4/12 + p**2. Let l(c) = -77*c. What is l(h(n))?
154*n
Let m(r) = -153 + 74 - 3*r**2 + 79. Let q(w) = 5 + 2*w**2 + 12*w - 1 + 8. Let x(c) = -c**2 - 5*c - 5. Let y(p) = 5*q(p) + 12*x(p). What is m(y(b))?
-12*b**4
Let o(b) = -b. Let n(k) be the third derivative of -k**6/120 + k**3/2 - 2*k**2. Let q(i) be the first derivative of n(i). What is q(o(z))?
-3*z**2
Let h(w) = -w. Let p(i) be the third derivative of 0*i**3 + 0 - 6*i**2 + 0*i - 1/4*i**4. Give h(p(b)).
6*b
Let d(p) = -2*p. Let l(s) be the second derivative of s**6/720 - 5*s**4/12 + 5*s. Let g(t) be the third derivative of l(t). Give d(g(m)).
-2*m
Let n(l) = 30*l. Let m(h) = -73*h**2. Calculate m(n(s)).
-65700*s**2
Let t(l) = 2*l**2. Let o(w) = 2*w**2 - w - 2. Let c be o(3). Let x(j) = j - 6*j + c*j - 5*j. Give t(x(i)).
18*i**2
Let y(a) = 2. Let o(t) = 4*t + 15. Let d(g) = 5*g + 16. Let u(f) = 5*d(f) - 6*o(f). Let q(v) = 2*u(v) + 10*y(v). Let l(k) = -2*k. Calculate l(q(n)).
-4*n
Let o(n) = -n. Let t(j) = 1. Let v(w) = -4*w**2 - 6. Let f(q) = 6*t(q) + v(q). Calculate o(f(i)).
4*i**2
Let p(x) = x + 8. Let b be p(-8). Let t(n) = -n + 4*n + b*n. Let v(q) = 4*q - 2*q - 3*q. What is v(t(h))?
-3*h
Suppose 0 = 4*o - 20 - 32. Suppose -3*v + 21 = 3*p, 5*v = -3*p + o + 12. Let d(q) = 0*q**2 + 2*q**v - 5*q**2. Let b(m) = m**2. What is b(d(l))?
9*l**4
Let k = 145 - 89. Let r(b) = -2*b - 5. Let g(u) = 21*u + 56. Let x(i) = k*r(i) + 5*g(i). Let y(s) = 2*s**2. Give y(x(a)).
98*a**2
Let v(a) = -2*a**2 + 3. Let b(n) = -45*n**2 + 65. Let f(k) = 6*b(k) - 130*v(k). Let w(r) = -3*r. Determine f(w(x)).
-90*x**2
Let j(u) be the third derivative of u**6/90 + u**3/6 + 3*u**2. Let w(a) be the first derivative of j(a). Let d(b) = -b**2. Give d(w(i)).
-16*i**4
Let d(a) = 2*a. Let o(q) be the third derivative of -q**5/60 + 11*q**3/6 + 37*q**2. Give d(o(m)).
-2*m**2 + 22
Let l(h) = h**2. Let x(o) = 3*o - 18. Let v(i) be the first derivative of i**2/2 - 5*i + 2. Let d(b) = 18*v(b) - 5*x(b). Calculate l(d(j)).
9*j**2
Let c(k) = 4*k**2 + 2*k - 2. Let b(d) = d - 1. Let u(t) = 2*b(t) - c(t). Let i(y) be the second derivative of y**4/6 + y. What is i(u(x))?
32*x**4
Let u(m) = m**2. Let k(p) be the second derivative of 13*p**3/6 - 34*p. What is k(u(o))?
13*o**2
Let d(q) = 5*q**2. Let s(h) = -968*h. Calculate s(d(p)).
-4840*p**2
Let s(m) = -10*m. Let a(l) = 2*l - 1. Let h(x) = -5*x**2 - 12*x + 6. Let b(i) = -6*a(i) - h(i). Determine b(s(f)).
500*f**2
Let i(c) = -7*c**2. Let a(n) = 22*n**2. Determine a(i(g)).
1078*g**4
Let h(p) be the third derivative of -p**7/280 - p**4/12 + 8*p**2. Let m(d) be the second derivative of h(d). Let c(q) = -q. Determine c(m(j)).
9*j**2
Let l(o) = -o**2 - 2*o. Let x(p) = -6 + 3 + 3 - p. Let w(q) = l(q) - 2*x(q). Let v(y) = -3*y**2. Determine v(w(n)).
-3*n**4
Let x(z) = -z**2. Let v(w) = 68*w. Calculate x(v(d)).
-4624*d**2
Let p(h) = -5*h**2 - 21*h + 0*h**2 + 21*h. Let z(u) = u. Determine z(p(d)).
-5*d**2
Let p(i) = 6*i**2. Let v(z) = 2*z. What is p(v(b))?
24*b**2
Let b(r) = 2*r. Let f(x) = -x**3 + 9*x**2 + x - 7. Let p be f(9). Let k(h) = 0*h - h**p + 0*h. What is k(b(g))?
-4*g**2
Let w(u) = 13*u**2. Let z(v) = -13*v. What is z(w(l))?
-169*l**2
Let c(t) = 2*t. Let u = 38/3 + -67/6. Let d(j) be the first derivative of u*j**2 + 1 + 0*j. Determine c(d(b)).
6*b
Let v(s) = -227*s**2. Let q(g) = -14*g**2. Give q(v(x)).
-721406*x**4
Let o(h) = -4*h. Let c(y) = 189*y. Determine o(c(w)).
-756*w
Let l(y) = -3*y**2 + 2*y - 2. Let p(q) = 12*q**2 - 9*q + 9. Let b(z) = -9*l(z) - 2*p(z). Let f(x) be the second derivative of -x**3/3 - 4*x. Determine f(b(k)).
-6*k**2
Let w(y) = 404*y. Let m(l) = -l**2. Give m(w(o)).
-163216*o**2
Let s(i) be the first derivative of i**5/60 + i**2/2 + 1. Let w(g) be the second derivative of s(g). Let o(m) = m**2 + m**2 - 3*m**2. Calculate w(o(y)).
y**4
Let s(f) = -31 + 31 - f. Let v(q) = q. Calculate v(s(o)).
-o
Let g(d) = -4*d. Let h = 10 + -16. Let u(j) = -3*j**2 + 2. Let n(f) = 10*f**2 - 7. Let s(o) = h*n(o) - 21*u(o). What is s(g(k))?
48*k**2
Let i(t) = -t. Suppose 4 = 3*m + l, 3*l - 2 = -2*m + 2*l. Let a(p) = -3*p - 2*p + m*p. What is i(a(u))?
3*u
Let g(j) be the second derivative of -j - 1/2*j**3 + 0 + 0*j**2. Let l(h) be the third derivative of -h**5/30 + 20*h**2. Determine g(l(k)).
6*k**2
Let w(o) = 24*o**2 - o. Let b(c) be the second derivative of c**3/6 - 2*c - 21. Determine b(w(l)).
24*l**2 - l
Let f(l) = -7*l**2. Let m(r) = -11*r**2. Calculate f(m(v)).
-847*v**4
Let h(d) = 14*d**2. Let n = -22 - -26. Let r(u) = n*u**2 + 0*u**2 - 3*u**2. What is r(h(v))?
196*v**4
Let l(r) = -3*r**2 - 12*r. Let g(u) = -u. Suppose 0 = -5*o, 0*k = 2*k - 3*o - 2. Let a(q) = k*l(q) - 12*g(q). Let t(m) = -m**2. What is t(a(b))?
-9*b**4
Let u(d) = -17*d. Let t(m) = 3*m**2. Give t(u(x)).
867*x**2
Let b(i) = i**2. Let q(v) = 3 + 14*v**2 - 3. Determine b(q(r)).
196*r**4
Let n(t) = t**2. Let p(s) = 1812*s. Determine n(p(w)).
3283344*w**2
Let c(i) = -i**2. Let m(n) = 11*n + 2*n + 5*n - 5*n + 13 + 2*n**2. Let v(p) = p**2 + 6*p + 6. Let x(l) = -6*m(l) + 13*v(l). What is x(c(w))?
w**4
Let b(o) = -2*o. Let y(n) be the first derivative of -2*n**3/3 - 6. Calculate b(y(l)).
4*l**2
Let p(c) = -126*c**2. Let a(z) = 51*z**2. Calculate p(a(b)).
-327726*b**4
Let g(s) = -7*s. Let w(x) = 1152*x. Calculate w(g(n)).
-8064*n
Let u(t) = 5*t**2. Suppose -6*x = -3*x - 21. Let l(m) = 7*m + 4*m**2 - 5*m**2 - x*m. Determine u(l(v)).
5*v**4
Let v(c) = -2*c**2. Let l(j) = -146*j. Calculate l(v(w)).
292*w**2
Let k(x) = 1 + 12*x**2 - 32*x**2 - 1. Let b(j) = -2*j. What is k(b(w))?
-80*w**2
Let z(c) = -4*c**2. Let v(d) = -4*d**2. Let g(b) = -2*b**2. Let t = 3 + 0. Let m(q) = t*v(q) - 5*g(q). Give m(z(l)).
-32*l**4
Let a(y) = -y. Let p(t) = -3*t. Let c(m) = -7*a(m) + 3*p(m). Let u(o) = 10*o**2. Calculate u(c(z)).
40*z**2
Let k(z) = -4*z - 3. Let y(x) = x - 2. Let d(q) = 2*q - 3. Let m(l) = -3*d(l) + 5*y(l). Let b(g) = -k(g) + 3*m(g). Let c(o) = -2*o. What is b(c(a))?
-2*a
Let b(y) = 2*y**2. Let p(r) = -49*r. Let x(m) = -2*m + 0*m - 2*m. Let v(s) = 3*p(s) - 35*x(s). What is v(b(d))?
-14*d**2
Let t(y) = -2*y**2. Let o = 7105/24 - 296. Let f(r) be the third derivative of -o*r**4 + r**2 + 0*r + 0*r**3 + 0. What is t(f(m))?
-2*m**2
Let n(v) = 54*v**2. Let f(z) = 2*z - 20. Calculate f(n(y)).
108*y**2 - 20
Let n(i) = 13*i**2 - 11*i**2 - 4*i**2. | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from tytttyttty. What is prob of sequence ttyt?
1/8
Two letters picked without replacement from {z: 2, i: 1, c: 8, k: 5}. Give prob of sequence zz.
1/120
What is prob of sequence wdww when four letters picked without replacement from {y: 1, d: 2, w: 7}?
1/12
Two letters picked without replacement from qxtqqxqtttqtqxqtq. What is prob of sequence qx?
3/34
What is prob of sequence aaa when three letters picked without replacement from {i: 3, a: 3}?
1/20
Calculate prob of sequence aga when three letters picked without replacement from ahyggaaa.
1/14
Three letters picked without replacement from zzhyyyzzyzzzyzzzyy. What is prob of sequence yzh?
35/2448
What is prob of sequence ljj when three letters picked without replacement from llljljll?
1/28
Four letters picked without replacement from bkkbkkbkkdkbkbbbbbd. Give prob of sequence bbdd.
1/646
Three letters picked without replacement from uucucucccucuxc. Give prob of sequence uxc.
1/52
What is prob of sequence yk when two letters picked without replacement from yqpppdkdkkpypp?
3/91
What is prob of sequence kqkk when four letters picked without replacement from {q: 6, k: 6}?
2/33
What is prob of sequence jxx when three letters picked without replacement from {x: 7, j: 1, t: 2, i: 3, k: 4}?
7/680
Four letters picked without replacement from {r: 4, b: 7, p: 3}. Give prob of sequence bbrp.
3/143
Three letters picked without replacement from wwwggwugwgwgwgw. Give prob of sequence wwg.
8/65
What is prob of sequence wmaa when four letters picked without replacement from {m: 1, w: 1, a: 2}?
1/12
Calculate prob of sequence gxgs when four letters picked without replacement from {g: 3, x: 1, s: 11}.
11/5460
Four letters picked without replacement from {p: 3, m: 6, a: 8}. Give prob of sequence mpmp.
3/952
Four letters picked without replacement from yllyyyylyyyyyl. Give prob of sequence llyy.
45/1001
Four letters picked without replacement from {b: 1, i: 2, a: 1, x: 2, j: 1, o: 1}. Give prob of sequence iaxo.
1/420
Four letters picked without replacement from {v: 1, u: 1, z: 4, x: 2}. What is prob of sequence zzvu?
1/140
Two letters picked without replacement from {l: 1, i: 2, x: 1, h: 1}. Give prob of sequence ih.
1/10
What is prob of sequence ees when three letters picked without replacement from jeeejsejessejjjjje?
7/272
Two letters picked without replacement from {k: 1, o: 1, a: 3}. Give prob of sequence aa.
3/10
Four letters picked without replacement from {j: 4, h: 3}. Give prob of sequence hjhh.
1/35
Three letters picked without replacement from bbbcmppbphpwcpbp. What is prob of sequence bmb?
1/168
What is prob of sequence xx when two letters picked without replacement from {x: 8, r: 2, f: 2}?
14/33
Two letters picked without replacement from pghga. What is prob of sequence ag?
1/10
Calculate prob of sequence bwmb when four letters picked without replacement from {k: 1, b: 1, m: 2, w: 1}.
0
What is prob of sequence ysj when three letters picked without replacement from {e: 1, s: 4, y: 4, j: 3, g: 7}?
8/969
Calculate prob of sequence ddek when four letters picked without replacement from efdedukeehhehhhhu.
1/5712
Four letters picked without replacement from dtvtssivtjvtddvtvst. Give prob of sequence tijd.
1/5168
Four letters picked without replacement from {t: 6, n: 1, z: 1, d: 2, u: 3}. What is prob of sequence zznu?
0
Calculate prob of sequence oo when two letters picked without replacement from {r: 7, s: 6, o: 4}.
3/68
What is prob of sequence azj when three letters picked without replacement from rzjzjrajrjz?
2/165
Three letters picked without replacement from ltekj. What is prob of sequence kjl?
1/60
Four letters picked without replacement from {k: 2, f: 1, r: 1, b: 1, s: 2, g: 1}. What is prob of sequence fgbk?
1/840
Three letters picked without replacement from {m: 1, w: 1, c: 2, b: 1}. Give prob of sequence cbw.
1/30
What is prob of sequence ff when two letters picked without replacement from {h: 1, i: 4, d: 2, z: 4, w: 2, f: 7}?
21/190
What is prob of sequence pj when two letters picked without replacement from jpjgpg?
2/15
Four letters picked without replacement from ylrerrrllylullller. Give prob of sequence leyl.
7/2295
Three letters picked without replacement from eeemeeeeeeeeemeeem. Give prob of sequence mem.
5/272
Calculate prob of sequence kmk when three letters picked without replacement from bkvkkkkmk.
5/84
Two letters picked without replacement from {g: 1, p: 3, m: 3}. What is prob of sequence pg?
1/14
Calculate prob of sequence kmkk when four letters picked without replacement from {m: 4, s: 4, k: 3, r: 3}.
1/1001
Three letters picked without replacement from {r: 16, a: 4}. Give prob of sequence raa.
8/285
What is prob of sequence noj when three letters picked without replacement from ojjnj?
1/20
Four letters picked without replacement from {g: 5, e: 5, c: 2}. Give prob of sequence egcg.
5/297
Calculate prob of sequence vxvx when four letters picked without replacement from xlvvx.
1/30
Two letters picked without replacement from {i: 4}. Give prob of sequence ii.
1
Two letters picked without replacement from povvrrxb. What is prob of sequence pb?
1/56
Four letters picked without replacement from {e: 4, t: 6, d: 3}. Give prob of sequence deet.
9/715
What is prob of sequence kbf when three letters picked without replacement from {c: 4, b: 1, f: 1, k: 1, i: 2}?
1/504
Calculate prob of sequence jh when two letters picked without replacement from {u: 2, w: 1, h: 1, f: 4, j: 1}.
1/72
Calculate prob of sequence zb when two letters picked without replacement from {m: 2, r: 5, b: 1, w: 1, z: 11}.
11/380
What is prob of sequence ffk when three letters picked without replacement from buffkubbb?
1/252
Three letters picked without replacement from kwkkkwwkkwwk. Give prob of sequence kkw.
7/44
Calculate prob of sequence npyn when four letters picked without replacement from isininnpspyrypsiinis.
1/1615
What is prob of sequence ngga when four letters picked without replacement from {n: 5, g: 3, a: 1}?
5/504
What is prob of sequence qrt when three letters picked without replacement from ccrcqcqqqltcctcqq?
1/340
Calculate prob of sequence sd when two letters picked without replacement from {s: 1, z: 1, d: 1, g: 8, c: 6}.
1/272
Two letters picked without replacement from qqqhqqhqqhq. Give prob of sequence qh.
12/55
Three letters picked without replacement from {q: 4, v: 4, o: 2}. Give prob of sequence ovv.
1/30
Calculate prob of sequence ggig when four letters picked without replacement from iiigg.
0
Calculate prob of sequence cm when two letters picked without replacement from nmmnczxw.
1/28
What is prob of sequence ndnd when four letters picked without replacement from adnnaaiddnada?
3/715
Four letters picked without replacement from {w: 9, g: 10}. What is prob of sequence wggw?
45/646
Calculate prob of sequence ffff when four letters picked without replacement from {f: 9}.
1
Three letters picked without replacement from {m: 3}. Give prob of sequence mmm.
1
Two letters picked without replacement from {u: 5, k: 5, h: 8}. Give prob of sequence hh.
28/153
Three letters picked without replacement from faafaxxlxaf. What is prob of sequence xlx?
1/165
Calculate prob of sequence fkpf when four letters picked without replacement from fpkp.
0
What is prob of sequence ccc when three letters picked without replacement from {b: 12, e: 1, c: 6}?
20/969
Three letters picked without replacement from {s: 11, e: 4, i: 3}. What is prob of sequence ess?
55/612
What is prob of sequence qmj when three letters picked without replacement from {m: 2, q: 1, x: 1, o: 4, j: 4, f: 2}?
1/273
Calculate prob of sequence jyq when three letters picked without replacement from {t: 5, j: 3, q: 4, y: 4}.
1/70
Calculate prob of sequence hnh when three letters picked without replacement from {q: 2, n: 1, h: 3, x: 4}.
1/120
Two letters picked without replacement from {e: 1, h: 1, t: 3, f: 1, m: 6}. What is prob of sequence fe?
1/132
Calculate prob of sequence hq when two letters picked without replacement from xddqdxhxdddhxqhhqqq.
10/171
Two letters picked without replacement from {n: 6, o: 1, u: 3, g: 3, y: 4, v: 1}. Give prob of sequence ou.
1/102
Two letters picked without replacement from {g: 1, h: 1, f | {
"pile_set_name": "DM Mathematics"
} |
13 + 12 = 5*k, u = -3*y + o*k for y.
5
Let r = -4 + 18. Suppose r*b + 6 = 16*b. Solve -5*j + 30 = b*w, j = -j - 4*w + 26 for j.
3
Let z(f) = -15*f**3 + 4*f**2 + 4*f. Let q be z(-1). Suppose 4*k = -12, -5*u + 9 = 2*k - 0*k. Solve -3*n - q = u*b, -20 = -b + 2*b + 4*n for b.
0
Suppose -31 - 7 = v. Let p = -35 - v. Suppose -3*j = -4*n, -j = p*j - 16. Solve 2*b = -5*m - 2, 0 = b + 4*b - n*m - 26 for b.
4
Suppose 0 = -21*a + 840 - 189. Solve -4*m - a = 5*s, -4*m - 7 = -0*m - 3*s for m.
-4
Let h be ((-10)/(-8))/((-375)/(-600)). Solve 0 = 4*x - 2*a + 16 + h, -3*x = 2*a - 4 for x.
-2
Let c = 609 + -606. Solve j = -c*s - 6, -6 = 5*s - 0*s + 3*j for s.
-3
Let s = -2544 - -2546. Solve 3*u - u - 21 = -3*f, 4 = -s*u + 2*f for u.
3
Suppose -3*p + c = -10, 5*c - 20 = -4*p + 8*c. Suppose -4*g = -3*d - 64, -2*d = -p*g - 0*d + 32. Solve -g = -3*t - 0*i - 2*i, 8 = 4*i for t.
4
Let p = 107 + -101. Suppose p*m = -m + 14. Solve -3*w = -8*j + 4*j + 15, 0 = 4*j + m*w + 10 for j.
0
Let a(i) be the first derivative of i**4/4 + i**3/3 - 3*i**2/2 + 4*i - 7. Let p be a(0). Solve 20 = 5*x, -3 = -y - 2*x + p for y.
-1
Suppose 3*o + 34 - 129 = r, -o = 2*r - 27. Suppose 5*b - o = 3*m, -4*b + 3*m = -9 - 14. Solve -2*t + n = -3*t + b, 3*t - 5*n + 16 = 0 for t.
3
Suppose -11 = -3*j + 4. Suppose g = 3*r + 32, -5*g - r = -50 - 126. Suppose -j*a - g = -10*a. Solve 0 = 4*t + 3*d - 0*d - 23, -a = -t - 2*d for t.
5
Let l be (-2)/7 - (-37)/7. Let t be (-5)/(-2)*(-32)/(-10). Suppose t*m = 2*m + 24. Solve -3*f - 5 = -l*f - d, -24 = -3*f + m*d for f.
4
Suppose 45 = 16*h - 35. Solve 0*q - h = -2*q - 3*r, 0 = 5*q - 2*r - 22 for q.
4
Suppose 5*t = 2*u + 16, -t - 5*u = -0 - 14. Solve -5*k + 32 = 3*v - 2, -2*v + 26 = t*k for v.
3
Let z(q) = -q**2 + 37*q - 184. Let t be z(31). Solve -5*f = a - 3, -3*a - t*f - 4 = -0*a for a.
-2
Let r(n) = 22*n + 5. Let x be r(0). Solve x*c + 10 = -3*y, -c - 2*y + 2 = 4 for c.
-2
Let k = 8 + -7. Suppose -5*t + 9 = -k. Suppose 6 = c + t*c. Solve -2*p - 3*p + 17 = 3*l, -c*p + 5 = 3*l for l.
-1
Let r = 33 + 1. Suppose 0 = 2*m + 5*g + 8 - r, -g + 19 = 5*m. Solve 2*a + m = -u - 0, 2*a - 9 = -5*u for u.
3
Let y(j) = 28*j + 1. Let u be y(3). Let w = -84 + u. Solve -2*p = -i + w - 4, -2*p = 2*i + 6 for p.
0
Let g be 6/4*4/3. Suppose 0 = -12*k - 20*k. Suppose 5 = g*h - 3*p, k*h - p = h - 5. Solve t - 3*f = 5, -h*f - 9 = -f for t.
-4
Let w(k) = 15*k - 42. Let x be w(3). Suppose -2*h - h + 12 = 0. Suppose 2*a - 55 = -x*n, -2*n + 6 = -h. Solve -d + a = -4*z + 3*d, 5*z = 4*d - 25 for z.
-5
Let f be (20/(-18))/5 + 580/180. Solve -f*m = -2*n - 5*m + 2, 0 = -n + 2*m - 11 for n.
-3
Suppose 2*a = 5*y + 13, -2*a = 2*a + y - 15. Suppose a*o = -28 + 4. Let h be (3 + o)*(-3)/1. Solve -h = i + 2*u - 0, 4*i + u = -15 for i.
-3
Let s(v) = -2*v - 26. Let q be s(-15). Solve 2*m - 14 = -q*u, 0*u + u + 10 = -5*m for u.
5
Suppose 4*l = -5 - 11. Let r = 4 - l. Suppose 4*d - r = h + 7, -5 = -h. Solve -z + 3*j - 1 = 0, 2*z - d*j = -1 - 1 for z.
-1
Let x be (-32)/24*(-4 - (-15)/6). Solve -3*z - 15 = 4*l, 0*z + 5*l = x*z - 13 for z.
-1
Let u = -57 + 81. Suppose 5*v = -f - 6, -3*f + 4*v = f - u. Solve 2*i - 4 = f*l - 2*l, -4*i = l + 12 for i.
-2
Suppose -23 = -5*h - 3. Solve 4 = 5*i - h*c, -2*i + 2 = i - 2*c for i.
0
Let s = 11 - 8. Let u = -5 + 5. Suppose u = -4*p - 5*o + 10 + 50, 24 = 2*p + o. Solve p = -2*g - 2*g - s*w, -g - 6 = -w for g.
-4
Suppose -301*m + 307*m - 96 = 0. Solve -t = -3*c - 11, -6*c + c + 4*t - m = 0 for c.
-4
Let k be -2*1*2/(-2). Suppose -5*n - c + 11 = 0, 4*n + 4*c + 10 = k*n. Let h be 118/6 + 69/(-9) + 8. Solve -p - p - n*o - h = 0, -o = -p for p.
-4
Let b(j) = 2*j**2 - 34*j + 64. Let k be b(15). Solve 0 = k*o + p - 1 + 7, 2*p + 3 = o for o.
-1
Let s be -4 - (0 - (-38)/1). Let i = -40 - s. Solve i*m = 5*n - 7 - 3, n = -3*m + 2 for n.
2
Let v(m) = -2*m**2 + 10*m + 51. Let l be v(8). Solve -l*q - 5*n + 10 = 0, -19 = 2*q - 4*n - 33 for q.
5
Let n = 916 - 876. Solve -3*i + n = -5*r, 2*i - 4*r - 30 = -0 for i.
5
Let h be (432/(-12))/6 + (-8)/(-1). Solve 3*w - 2*w + 5 = n, -2*w = 2*n - h for w.
-2
Let i = 263 - 258. Solve 5*v + 3*g + 7 = 0, v - 2*v - i = -3*g for v.
-2
Suppose -7*g + 28 = -3*g. Suppose -2*s + 8*s = 42. Let p = s - g. Solve 4*f - 2*f + 4*z = 6, -z + 2 = p for f.
-1
Let j(h) = h + 39. Let p be j(-39). Solve p = k + 5*o + 7 - 34, 4*k = 4*o - 12 for k.
2
Suppose 3*l = 4*p - 48 - 131, -5*l - 289 = -2*p. Let a = l - -60. Solve 0 = -4*y - 0*f - f + 5, a*f = 2*y - 13 for y.
2
Let d(u) = 2*u + 10. Let t be d(-4). Solve 2*l = 2*i - 2, 4*l - t*l = i + 2 for l.
3
Let y be -6 - (-16)/(-12)*-6. Solve 4*k = -d + 15, 11*k = 6*k - y*d + 21 for k.
3
Suppose 2*d - 67 = -4*t - 25, 2*t + 12 = 2*d. Suppose -31 = -o - d. Solve 0 = -5*c + o, 5*b - c - 11 - 10 = 0 for b.
5
Let c = -30 - -44. Let d be (8/(-4) + 1 + 2)*-69. Let p = -64 - d. Solve 3*j - j - c = 5*l, -19 = p*j + l for j.
-3
Let o = -15 + 16. Let c be o/((-5)/(-30)*(-3)/(-2)). Solve -c*z = -3*t + 4*t - 8, -2*t = -z + 11 for z.
3
Let p = 187 - 183. Solve -2*q + 0*i - p = -2*i, -2*q = i - 2 for q.
0
Suppose 16*w + 62 = 18*w. Suppose 4 = -b, -3*i + 2*b = -2*b - w. Let f be 2/6 + (-22)/(-6). Solve -i*m - 3*r - 2 - 15 = 0, -5*m = f*r + 16 for m.
-4
Suppose 27 = -2*a + 33. Solve 5*o - i = -4, a*i + 20 = -3*o + 8*i for o.
0
Let t = -13 - -16. Suppose 0 = t*s - s - 5*k + 1, 4*k - 6 = -s. Suppose -l + 9 = s*l. Solve -27 = -l*b + 4*x, -5*x - 6 = -3*x for b.
5
Let x be 2*4 + -3 + 1. Let y be ((-2)/x)/(4/(-36)). Suppose -y*m - 2*m + 15 = 0. Solve m = -2*n - b - 1, n = -2*b + 1 for n.
-3
Suppose 0 = 18*y - 27 - 27. Solve -2*m - 2*w + 2 = w, -y*m = -3*w - 3 for m.
1
Let k = -57 - -120. Suppose -r = 2*r - k. Suppose -4*x + r = 5. Solve -x*l + 9*l = -20, -9 = -w + 3*l for w.
-3
Suppose -4*z = -4*x + 88, -5*x = -4*z + 49 - 161. Let y = -11 + 11. Suppose y = -7*n - 2*n + 3*n. Solve -2*c + 18 = 3*c - h, 4*c - 4*h - x = n for c.
3
Suppose 5*o = -5*n - 10, -3*o + 17 = -4*n - 12. Solve -4*f + 2*p = 3*p - 11, -o*p - 35 = -5*f for f.
4
Let h = -66 + 66. Solve 2*t - 4*c + 4 = h, -2*c + 4 = -3*t + 2 for t.
0
Suppose 2*c + 63 = 9*c. Suppose -2*u + c*u = 35. Let b be (-8 - -1 - -2)/(-1). Solve -u*s + 4 = -4*f, 0 = -0*f + 5*f - b*s for f.
4
Suppose 12*k = 5*k. Solve 3*b - 2*j - j + 3 = k, -4*j = b + 1 for b.
-1
Let i(p) = -p**3 - 13*p**2 - 14*p - 9. Suppose -k = 4*t + 46, 2*t + 4*k - 2 = -18. Let j be i(t). Solve f = 4*n - 0*f - j, 0 = n + 4*f - 25 for n.
5
Let y be (5/(-2))/((-3)/(-6)). Let u(o) = -o - 2. Let l be u(y). Suppose 0 = -2*n + 2, -46*n = 5*v - 45*n - 16. Solve 2*d + l*z - v = -1, 5*z = 3*d - 22 for d.
4
Suppose 1 = -4*q + 21. Suppose 2*w + 18 = 3*v + q*w, v - 2*w = 0. Solve 4 - 5 = f + v*c, 2 = 2*f + 4*c for f.
3
Let a be (-8)/((-2 - 0)*1). Solve 5*f - 2 = -h, -a*f + 4*h + 13 = -3 for f.
1
Suppose 4*r - 4*p + 20 = 0, 4*r - 6*p + 22 = -3*p. Let c = -3 - r. Solve -5*m = u + 20, 0 = -u + 5*u + m + c for u.
0
Let p(z) = 0*z - 9*z + 2*z + 6*z - 2. Let g = 6 + -13. Let t be p(g). Solve -3*d - t*l + 8 = -0*d, 0 = 5*d + 2*l - 7 for d.
1
Suppose 5*q - 4*q = 2*y + 27, 0 = 3*q + 3. Let o be (y + 15)*(-1 + 3). Solve -o*g + 4*g + 2*c + 8 = 0, -c = 5 for g.
1
Let o be 45/(25/5) + -4. Let d = 30 - 25. Solve 2*u + j - 4 = o*j, 18 = d*u - 2*j for u.
4
Let r(k) = 4*k. Let o be r(1). Solve 3*c + s = 3*s - o, c + 2 = s for c.
0
Suppose 0 = -8*b + 33 + 7. Solve -18 = b*i - p, 0 - 10 = 2*i + p for i.
-4
Let k be 2 - (-9)/7 - (-6)/(-21). Solve 6*z + 2 = y + 9*z, -k*z = -4*y - 22 for y.
-4
Suppose -13*j + 119 = -12*j. Let d = j - 119. Solve d*y = y + 5, -22 = -r + 5*y for r.
-3
Let y(d) = -d**3 - 2*d**2 - 2*d. Let p be y(-1). Suppose -3*c + 3 = -x, -2*x - 3 = -4*c + p. Solve 2*f = -2*f - 3*w - 12, 2*f - w - 4 = x for f.
0
Suppose 0 = 2*h - 15*h + 39. Solve j - h*m = 1, -3*j - 13 = 2*j + 3*m for j.
-2
Suppose -a - 35 = 6*a. Let u be 0/5 - (a - -1). Solve -u*f - 21 = q, -q + 8 = -4*f - 3 for f.
-4
Suppose -9*u + 16 = -7*u. Let c = u + -9. Let n = 1 - c. Solve n*p - 11 = -3*m, -m - 4*p = p - 21 for m.
1
Suppose y + 2*t = -2, 5*y - 4*t + 3 = -21. Let g = y + -2. Let o be 2/4 - 27/g. Solve -12 = -2*n - m, 0*n - 4*m = o*n - 36 for n.
4
Let c be 0 - -4*(-2)/(-2). Suppose -4*q = -7*q, c*q = -2*b + 68. Solve -5*j + b = -5*u + 4, -u = -2*j + 10 for j.
4
Let a be 3 + (- | {
"pile_set_name": "DM Mathematics"
} |
**3 - 24
Collect the terms in -8*l**2 - 20*l**2 - 694*l + 32*l**2 + 693*l.
4*l**2 - l
Collect the terms in 28602*r**3 - 3*r**2 + 3*r**2 + 22817*r**3.
51419*r**3
Collect the terms in -333*j**2 + 75*j**2 - 650*j**2 - 938*j**2.
-1846*j**2
Collect the terms in 882*k - 198*k**2 - 5*k**3 + 6*k**3 + 198*k**2.
k**3 + 882*k
Collect the terms in -131 + 513 - 125 - 121 - 2*l**3 - 136.
-2*l**3
Collect the terms in 2631*n + 2626*n - 5254*n.
3*n
Collect the terms in 4*p**3 + 178849*p**2 + 14*p**3 - 178849*p**2 - 15*p**3.
3*p**3
Collect the terms in -3 + 26 - 85 + 0*z**2 - 3*z**2 + 0*z**2.
-3*z**2 - 62
Collect the terms in -10 - 10 - 189*p**2 + 196*p**2.
7*p**2 - 20
Collect the terms in 35505 - 35505 - 10*n**3.
-10*n**3
Collect the terms in 8*s**2 - 46*s**2 - 30*s**2 + 113*s**2 + 154*s**2.
199*s**2
Collect the terms in -2*v**3 + 34869*v - 17397*v - 17472*v.
-2*v**3
Collect the terms in 39 + 4 - 741*a**2 - 43.
-741*a**2
Collect the terms in 126*p**2 - 428 + 428.
126*p**2
Collect the terms in -2 - 1 - 4 + 0 - 2 + 9*b.
9*b - 9
Collect the terms in -9*a**2 + 1137052*a**3 + 9*a**2 - 1137057*a**3.
-5*a**3
Collect the terms in -226*n**3 + 13 - 16 + 3.
-226*n**3
Collect the terms in -15*d + 16*d + 187*d - 101*d.
87*d
Collect the terms in d**2 - 230*d**3 - d**2 - 5*d**2 + 2.
-230*d**3 - 5*d**2 + 2
Collect the terms in -1848*v + 1105*v + 738*v.
-5*v
Collect the terms in 30 - 2*j**2 + 4*j - 23 - 7.
-2*j**2 + 4*j
Collect the terms in 2263 - 6773 + 9*b + 2244 + 2266.
9*b
Collect the terms in 277*m**2 + 357*m**2 - 631*m**2.
3*m**2
Collect the terms in -98*o**3 - 19*o + 4*o + o**3 + 16*o.
-97*o**3 + o
Collect the terms in -356*y - 594*y**3 + 356*y.
-594*y**3
Collect the terms in 0*n**2 + 9*n**3 - n**2 - 2*n**2 + 52*n.
9*n**3 - 3*n**2 + 52*n
Collect the terms in 14*z**2 - 1 + 3*z - 3*z + 41*z**2 - 30*z**2.
25*z**2 - 1
Collect the terms in 19*k**3 - 2*k**3 + 4*k**3 - 74*k**3.
-53*k**3
Collect the terms in -2528*a - 1544*a + 700*a.
-3372*a
Collect the terms in 2354841940 - 7*o**2 + 8*o**2 - 2354841940.
o**2
Collect the terms in 105*j**3 - 9*j**3 + 63*j**3.
159*j**3
Collect the terms in -8*m + m**2 + 11*m + 5*m.
m**2 + 8*m
Collect the terms in 443 - 443 + 5*t**3 + 0.
5*t**3
Collect the terms in 0*k**3 + 1427*k - 2*k**3 + 1151*k.
-2*k**3 + 2578*k
Collect the terms in -46*t - 16*t**3 + 7*t**3 + 12*t**3.
3*t**3 - 46*t
Collect the terms in 498*i**2 - 988*i**2 + 490*i**2 + 6*i**3 - 7*i.
6*i**3 - 7*i
Collect the terms in -9458*u + 36 - 36.
-9458*u
Collect the terms in -402 - 224*t + 402.
-224*t
Collect the terms in 40 + 39 - 79 - 6*f + 9*f - f.
2*f
Collect the terms in -58*x**2 - 63*x**2 - 12*x**3 - 49*x**2 + 170*x**2.
-12*x**3
Collect the terms in -x**3 - 50*x + 233*x + 443*x.
-x**3 + 626*x
Collect the terms in -1 - 1071*n**3 + 4 - 3 + 29*n**3.
-1042*n**3
Collect the terms in 4*a**2 + 72*a + 22*a - 5*a + 2.
4*a**2 + 89*a + 2
Collect the terms in -14*k**3 + 1 + 24*k**3 - 7*k**3 - 72*k.
3*k**3 - 72*k + 1
Collect the terms in 82*s**3 + 204*s**2 + 208*s**2 - 86*s**3 + 209*s**2 - 621*s**2.
-4*s**3
Collect the terms in 873*m + 895*m - 1765*m.
3*m
Collect the terms in 2350*f**2 - 2335*f**2 + 258 + 260 - 518.
15*f**2
Collect the terms in 27215 - 3*p - 27215 + 3*p - 29*p**2.
-29*p**2
Collect the terms in -482*b - 466*b + 202*b.
-746*b
Collect the terms in -2033*z**3 - 2034*z**3 + 4070*z**3.
3*z**3
Collect the terms in -27 - 9*h - 4*h + 39.
-13*h + 12
Collect the terms in -189*d - 188*d + 557*d - 182*d.
-2*d
Collect the terms in -5*q**2 + q**2 + 12*q**3 + 4*q**2 - 10*q**3.
2*q**3
Collect the terms in k - 1078891285 + 1078891285.
k
Collect the terms in -12*y - 51*y + 6*y.
-57*y
Collect the terms in -97*o**2 + 31*o**2 + 35*o**2 + 19*o**2.
-12*o**2
Collect the terms in -148723*p + 49576*p + 49578*p + 49565*p.
-4*p
Collect the terms in 5169*z + 5182*z + 5156*z - 15508*z.
-z
Collect the terms in -873347*x + 873347*x + 11*x**3.
11*x**3
Collect the terms in -k - 277 - 259 + 536.
-k
Collect the terms in -437*t**2 - 10 - 14*t**2 + 10.
-451*t**2
Collect the terms in 5 + 0*l + 0*l - 60855*l**3 + 60557*l**3.
-298*l**3 + 5
Collect the terms in -13*f + 4216 + 17*f + 11*f**2 - 4216 + 18*f.
11*f**2 + 22*f
Collect the terms in -8351*t + 16644*t - 8316*t.
-23*t
Collect the terms in 23*w**2 - 15*w**2 - 4*w**2 - 4*w**2 + 16*w**3.
16*w**3
Collect the terms in -2*k**3 + 24635793*k - 24635793*k.
-2*k**3
Collect the terms in p + 575272*p**2 - 575241*p**2 - p.
31*p**2
Collect the terms in -4*s**3 + 1364*s**2 - 1365*s**2 + 11*s**3.
7*s**3 - s**2
Collect the terms in 0*z**2 - 5*z**2 - 6*z**2 - 5*z**2 - 4*z - 6*z**2 + 27*z**2.
5*z**2 - 4*z
Collect the terms in -152*k**3 - 153*k**3 + 605*k**3 - 155*k**3 - 149*k**3.
-4*k**3
Collect the terms in -1874*z**3 + 1028*z**3 + 862*z**3.
16*z**3
Collect the terms in -168*y + 81*y + 247*y**2 + 87*y - 269*y**2.
-22*y**2
Collect the terms in 219*g**2 - 11*g + 13*g - 4*g - 650*g**2.
-431*g**2 - 2*g
Collect the terms in -12*h - 8*h - 15*h + 50*h + 2*h**2 - 15*h.
2*h**2
Collect the terms in 19867*v + 28173*v + 43241*v.
91281*v
Collect the terms in 35148*g**2 + 45748*g**2 - 10837*g**2.
70059*g**2
Collect the terms in 59*w**2 + 53*w**2 + w - w - 114*w**2.
-2*w**2
Collect the terms in -13435*o**2 - 13430*o**2 + 26867*o**2.
2*o**2
Collect the terms in 1 + 17*g**3 - 1 + 27*g**3.
44*g**3
Collect the terms in -17*q + 19*q + 24*q - 49*q + 26*q.
3*q
Collect the terms in -4 + 0 + 0 + 31*c - 5*c.
26*c - 4
Collect the terms in 7*p**3 - 28*p**2 + 28*p**2 + 380*p**3.
387*p**3
Collect the terms in 96*c - 328*c - c**2 + 49*c + 93*c + 90*c.
-c**2
Collect the terms in -4274*b**2 - 4296*b**2 + 8572*b**2.
2*b**2
Collect the terms in 8*u**2 - 4*u**2 + 306*u + 4*u**2 + 3*u**2 + 7.
11*u**2 + 306*u + 7
Collect the terms in 1 + 59*y + 2170*y**2 - 59*y.
2170*y**2 + 1
Collect the terms in -277933*k**3 + 555889*k**3 - 277958*k**3.
-2*k**3
Collect the terms in 44*r**3 + 5490 - 220*r**3 - 5490.
-176*r**3
Collect the terms in -13*d**2 + 142 - 142.
-13*d**2
Collect the terms in -10891*k - 350 + 350 + 10893*k.
2*k
Collect the terms in 262*q - 1921*q - 584*q.
-2243*q
Collect the terms in -9*s + 3*s - 2*s + 8*s - 31*s**3.
-31*s**3
Collect the terms in 15*f**2 + 1283 + 1172 - 2455.
15*f**2
Collect the terms in -26*x + 10*x + 6*x - 34*x**2 + 7*x + 3*x.
-34*x**2
Collect the terms in -307*j + 185*j + 125*j.
3*j
Collect the terms in 18*v**3 - 671261*v + 671261*v.
18*v**3
Collect the terms in 43 - 1964*m**2 - 43 - 5733*m**2.
-7697*m**2
Collect the terms in 29*o**2 - 75*o**3 + 41*o**3 - 125*o**3.
-159*o**3 + 29*o**2
Collect the terms in -60*s + 143*s - 5 + 5 - 36*s - 36*s.
11*s
Collect the terms in -2*a - 718*a**3 + 5*a**3 - 863*a**3 + 2*a.
-1576*a**3
Collect the terms in 94835*n**3 + 3 - 6 + 3.
94835*n**3
Collect the terms in 0*s + 6*s - 3*s - 5 + s.
4*s - 5
Collect the terms in -39*t - 2*t - 3 + 72*t - 30*t.
t - 3
Collect the terms in -6 + 6 - 378*s**3 - 1 - 2.
-378*s**3 - 3
Collect the terms in 6*p - 51*p + 12*p + 11*p + 15*p.
-7*p
Collect the terms in 23*s + 31*s + 53*s + 201*s.
308*s
Collect the terms in -87*u**2 - 26*u**2 - 2 - 16*u**2 + 0.
-129*u**2 - 2
Collect the terms in -14*p - 12*p + 21*p - p.
-6*p
Collect the terms in 161*h**2 - 58*h**2 - 55*h**2 - 58*h**2.
-10*h**2
Collect the terms in -22*s**2 + 28*s**2 + 14*s**2 - 27*s**2.
-7*s**2
Collect the terms in 32*z**2 + 8*z - 7 + 35 - 2.
32*z**2 + 8*z + 26
Collect the terms in -4*n**3 + 3350*n + 2*n**2 + 176*n + 6*n**3.
2*n**3 + 2*n**2 + 3526*n
Collect the terms in -1449 + 2891 - 1442 + 15*q.
15*q
Collect the terms in 1 - 1193*y - 1 + 1309*y.
116*y
Collect the terms in -18251*c + 7407*c - 58989*c - 22592*c.
-92425*c
Collect the terms in -133*i**2 - 127*i**2 + 513*i**2 - 127*i**2 - 128*i**2.
-2*i**2
Collect the terms in 17*l + 5*l + 5*l - 9*l - 3.
18*l - 3
Collect the terms in -26*j + 62*j + j**3 + 34*j**3 - 37*j.
35*j**3 - j
Collect the terms in -6*a**3 + 0*a**3 + a**3 + 230 + 4*a**3.
-a**3 + 230
Collect the terms in 2*h**2 + 30 + 12 - 42.
2*h**2
Collect the terms in -9108*c - 14388*c - 23064*c.
-46560*c
Collect the terms in 0 - 3*w + 8 + w - 4*w - 5.
-6*w + 3
Collect the terms in -1 - 11*f**2 + 302*f - 302*f.
-11*f**2 - 1
Collect the terms in 8541 - 4269 - 4272 - 6*q**2.
-6*q**2
Collect the terms in -7 + 480*t**2 - 4 - 9 + 20.
480*t**2
Collect the terms in 1931*v* | {
"pile_set_name": "DM Mathematics"
} |
67929, -367368, -366807?
-366246
What is next in 95, 527, 1221, 2123, 3179, 4335, 5537, 6731?
7863
What is next in 46419995, 92839999, 139260003, 185680007, 232100011?
278520015
What comes next: 48335, 96741, 145225, 193817, 242547, 291445, 340541, 389865?
439447
What is the next term in 3879, 30569, 103023, 244125, 476759?
823809
What comes next: 11200, 11757, 12314, 12871?
13428
What comes next: 1920223, 7680900, 17282027, 30723604, 48005631, 69128108, 94091035?
122894412
What is the next term in -514770, -1029532, -1544296, -2059062, -2573830, -3088600?
-3603372
What is next in -7551, -13934, -20317?
-26700
What comes next: 44, -42, -382, -1108, -2352?
-4246
What comes next: 15050, 60163, 135350, 240611, 375946?
541355
What is the next term in 8637, 33836, 75763, 134412, 209777?
301852
What is the next term in -11203, -11196, -11189, -11182, -11175, -11168?
-11161
What is next in -972, -3701, -8362, -14955, -23480?
-33937
What is next in 98415035, 98415032, 98415029, 98415026?
98415023
What comes next: -1025640, -2051296, -3076958, -4102626, -5128300, -6153980?
-7179666
What is the next term in 1621, 1335, 993, 601, 165, -309, -815?
-1347
What is next in -481, -3060, -9803, -22732, -43869?
-75236
What comes next: -116194, -232387, -348580, -464773, -580966, -697159?
-813352
What comes next: 227429, 454851, 682273, 909695?
1137117
What is next in 422, 647, 1334, 2711, 5006?
8447
What comes next: 16881523, 16881519, 16881513, 16881505, 16881495, 16881483, 16881469?
16881453
What is next in -9470, -4129, 1212, 6553, 11894, 17235?
22576
What comes next: 75, -45, -313, -783, -1509, -2545, -3945?
-5763
What comes next: -2080359, -2080362, -2080373, -2080398, -2080443, -2080514, -2080617, -2080758?
-2080943
What comes next: 46460, 185942, 418412, 743870, 1162316?
1673750
What is next in 13941, 13980, 14037, 14112, 14205, 14316, 14445?
14592
What is next in -36607, -73237, -109861, -146479, -183091, -219697, -256297?
-292891
What is the next term in 511699189, 511699187, 511699185, 511699183?
511699181
What comes next: 53401, 52641, 51881, 51121?
50361
What is the next term in 3311, 6556, 9725, 12818, 15835?
18776
What comes next: -270578, -541134, -811704, -1082294, -1352910?
-1623558
What is next in 12192, 24937, 37684, 50433?
63184
What is the next term in -9151, -9144, -9151, -9172, -9207, -9256?
-9319
What comes next: -84079, -168355, -252829, -337501, -422371, -507439?
-592705
What is the next term in 35028, 34953, 34812, 34599, 34308?
33933
What is next in 2464, 10331, 23420, 41731, 65264?
94019
What comes next: -30537, -61118, -91687, -122238, -152765, -183262, -213723?
-244142
What is the next term in 6594, 13014, 19200, 25152, 30870, 36354?
41604
What is the next term in -1858, -3684, -5496, -7294?
-9078
What comes next: 44383, 41512, 38641?
35770
What comes next: 112466858, 224933715, 337400572, 449867429, 562334286?
674801143
What comes next: 13783, 27791, 41799, 55807, 69815, 83823?
97831
What is next in -34865, -139197, -312995, -556259?
-868989
What is the next term in 5191, 20382, 45727, 81226, 126879, 182686, 248647?
324762
What is next in 76794, 76815, 76860, 76935, 77046, 77199?
77400
What is the next term in 12254, 17597, 22940?
28283
What is next in 5105, 40579, 136843, 324287, 633301, 1094275, 1737599, 2593663?
3692857
What is the next term in -1167, -9690, -32927, -78240, -152991, -264542?
-420255
What comes next: 4092, 15546, 34350, 60504?
94008
What comes next: -502, -536, -526, -472, -374?
-232
What comes next: 2022, 4126, 7662, 12636, 19054, 26922?
36246
What is next in -1086, -711, -318, 99, 546?
1029
What comes next: -412079, -412051, -412023, -411995, -411967, -411939?
-411911
What comes next: 5678, 11370, 17052, 22712, 28338, 33918?
39440
What is next in 11849, 23670, 35439, 47138, 58749, 70254, 81635?
92874
What is the next term in 15157, 30179, 45055, 59779, 74345, 88747, 102979, 117035?
130909
What comes next: -76503, -76481, -76459, -76437?
-76415
What is the next term in 1362, 4919, 9864, 15393, 20702?
24987
What is the next term in 4012494, 4012425, 4012318, 4012179, 4012014, 4011829?
4011630
What is the next term in 2006323009, 2006323017, 2006323039, 2006323081, 2006323149, 2006323249, 2006323387, 2006323569?
2006323801
What is the next term in 18348351, 18348352, 18348353, 18348354, 18348355, 18348356?
18348357
What comes next: -19537462, -19537461, -19537460?
-19537459
What comes next: 800771, 3203431, 7207863, 12814067, 20022043, 28831791, 39243311?
51256603
What is next in -64163, -132418, -200673, -268928, -337183?
-405438
What is next in -255853, -511697, -767543, -1023391, -1279241, -1535093, -1790947?
-2046803
What is the next term in -23091563, -46183126, -69274689, -92366252?
-115457815
What comes next: -28063, -28244, -28425, -28606, -28787?
-28968
What is next in 5923, 11873, 17821, 23767, 29711?
35653
What is next in 182845397, 182845391, 182845387, 182845385, 182845385?
182845387
What is the next term in 109885, 220119, 330703, 441637, 552921, 664555?
776539
What comes next: -52975, -423673, -1429795, -3389053, -6619159?
-11437825
What is the next term in -3121011, -3121063, -3121117, -3121173, -3121231, -3121291, -3121353?
-3121417
What is the next term in -3355, -3414, -3511, -3640, -3795, -3970?
-4159
What is the next term in 9883, 10162, 10441, 10720?
10999
What is next in -2330, -4221, -9316, -19217, -35526, -59845?
-93776
What is the next term in -4582030, -18328206, -41238500, -73312912, -114551442, -164954090?
-224520856
What is next in -13492, -26595, -48432, -79003, -118308, -166347?
-223120
What comes next: -14494, -14383, -14190, -13915, -13558, -13119, -12598?
-11995
What is the next term in 131465, 262815, 394165, 525515, 656865?
788215
What is next in -72044, -65816, -59588, -53360, -47132?
-40904
What is next in -6421, -7930, -9439?
-10948
What comes next: 10713, 21265, 31655, 41883, 51949, 61853, 71595?
81175
What is next in 332, 7515, 19486, 36245, 57792, 84127, 115250?
151161
What is the next term in -212793, -212961, -213131, -213303?
-213477
What is the next term in -9540, -7818, -4946, -924?
4248
What is next in 210, 783, 1764, 3153?
4950
What is next in 119510, 239125, 358740?
478355
What is next in -406696, -813403, -1220122, -1626853, -2033596, -2440351, -2847118?
-3253897
What comes next: 6069, 6142, 6237, 6366, 6541, 6774?
7077
What is the next term in -25843, -103329, -232443, -413185?
-645555
What is next in 24900, 51690, 78464, 105216, 131940, 158630?
185280
What is the next term in -424117, -3392904, -11451061, -27143278, -53014245, -91608652, -145471189, -217146546?
-309179413
What is the next term in 1954, 3729, 5452, 7123?
8742
What is next in -607446, -607490, -607534?
-607578
What is the next term in -1820350, -1820395, -1820462, -1820563, -1820710, -1820915, -1821190, -1821547?
-1821998
What comes next: -9597, 202, 16541, 39426, 68863, 104858, 147417, 196546?
252251
What comes next: -152702, -305427, -458158, -610895, -763638, -916387?
-1069142
What is the next term in -3590426, -3590431, -3590436?
-3590441
What comes next: -1914, -15821, -53558, -127035, -248162, -428849, -681006, -1016543?
-1447370
What is next in -106259, -105767, -104947, -103799, -102323, -100519?
-98387
What comes next: -201667, -201686, -201705?
-201724
What is next in 693826, 1387853, 2082074, 2776489, 3471098, 4165901, 4860898?
5556089
What is next in 1438582, 1438591, 1438600?
1438609
What comes next: 9205, 37046, 83439, 148384, 231881?
333930
What is next in 98202, 98234, 98266, 98298, 98330, 98362?
98394
What is the next term in 756189, 1512374, 2268559, 3024744, 3780929, 4537114?
5293299
What is the next term in 27443, 25409, 23373, 21335, 19295?
17253
What is the next term in 31848, 63754, 95720, 127746?
159832
What comes next: 256, 525, 754, 955, 1140, 1321?
1510
What is next in 920584, 1841163, 2761742, 3682321, 4602900, 5523479?
6444058
What is the next term in 30715487, 30715488, 30715489, 30715490, 30715491?
30715492
What is next in 8469, 14168, 19867, 25566?
31265
What is next in -281, -1270, -2915, -5216, -8173, -11786, -16055?
-20980
What comes next: 4433, 4474, 4577, 4742, 4969, 5258, 5609?
6022
What is the next term in -11160, -11083, -11006, -10929, -10852, -10775 | {
"pile_set_name": "DM Mathematics"
} |
1966?
18
What is the greatest common factor of 325 and 13520?
65
Calculate the greatest common divisor of 5 and 10005.
5
Calculate the highest common factor of 336 and 126.
42
Calculate the greatest common factor of 5053 and 3097.
163
Calculate the greatest common divisor of 14 and 343.
7
Calculate the highest common factor of 17 and 646.
17
Calculate the greatest common divisor of 111 and 148.
37
Calculate the highest common divisor of 63 and 1785.
21
Calculate the greatest common factor of 1526 and 210.
14
Calculate the greatest common divisor of 176 and 198.
22
What is the greatest common divisor of 15962 and 138?
46
What is the greatest common factor of 8 and 60?
4
What is the highest common divisor of 1464 and 48?
24
What is the greatest common divisor of 3634 and 368?
46
What is the highest common divisor of 248 and 1612?
124
What is the highest common factor of 20 and 620?
20
What is the highest common divisor of 7 and 1841?
7
What is the highest common divisor of 24 and 36?
12
Calculate the greatest common divisor of 80 and 64.
16
Calculate the greatest common factor of 3 and 27.
3
What is the highest common divisor of 12 and 5316?
12
What is the greatest common divisor of 135 and 27?
27
Calculate the highest common factor of 3 and 192.
3
Calculate the greatest common factor of 8 and 11.
1
What is the highest common divisor of 16 and 1328?
16
What is the highest common factor of 1 and 102?
1
What is the highest common factor of 2970 and 440?
110
What is the greatest common factor of 32 and 40?
8
Calculate the greatest common divisor of 16 and 576.
16
Calculate the highest common divisor of 6 and 38.
2
Calculate the greatest common factor of 60 and 12.
12
What is the greatest common factor of 45 and 23070?
15
What is the greatest common divisor of 27 and 8397?
27
What is the highest common divisor of 113 and 2825?
113
What is the greatest common factor of 46 and 4094?
46
Calculate the greatest common divisor of 9 and 10593.
9
What is the highest common factor of 7 and 15736?
7
What is the greatest common factor of 22 and 16?
2
Calculate the greatest common factor of 380 and 280.
20
Calculate the highest common factor of 621 and 46.
23
What is the highest common divisor of 476 and 980?
28
Calculate the greatest common factor of 1221 and 148.
37
Calculate the greatest common factor of 19 and 3781.
19
What is the greatest common factor of 280 and 1855?
35
What is the highest common divisor of 288 and 40?
8
Calculate the highest common factor of 18 and 606.
6
What is the highest common divisor of 2599 and 23?
23
What is the highest common factor of 6 and 722?
2
Calculate the greatest common factor of 8 and 293.
1
What is the highest common divisor of 36 and 72?
36
What is the greatest common factor of 416 and 4394?
26
What is the greatest common divisor of 265 and 1643?
53
What is the greatest common factor of 6862 and 292?
146
What is the highest common factor of 27944 and 112?
56
Calculate the greatest common factor of 200 and 1300.
100
Calculate the greatest common factor of 418 and 308.
22
Calculate the highest common factor of 697 and 17.
17
What is the greatest common factor of 10 and 5630?
10
What is the greatest common factor of 16 and 7184?
16
Calculate the greatest common factor of 1966 and 6.
2
Calculate the greatest common factor of 2320 and 2088.
232
Calculate the highest common divisor of 6688 and 266.
38
Calculate the highest common factor of 21888 and 128.
128
Calculate the highest common factor of 16299 and 18.
9
What is the greatest common factor of 1275 and 300?
75
Calculate the highest common divisor of 2233 and 3828.
319
Calculate the highest common factor of 1311 and 276.
69
What is the greatest common factor of 1362 and 42?
6
Calculate the highest common divisor of 134 and 14.
2
Calculate the greatest common divisor of 480 and 40.
40
What is the highest common factor of 390 and 90?
30
Calculate the greatest common divisor of 4 and 150.
2
What is the highest common factor of 56 and 136?
8
What is the greatest common factor of 10 and 7?
1
What is the greatest common divisor of 510 and 340?
170
What is the highest common divisor of 133 and 21?
7
Calculate the highest common factor of 518 and 222.
74
What is the greatest common divisor of 7110 and 36?
18
What is the highest common divisor of 19840 and 124?
124
What is the greatest common divisor of 616 and 1628?
44
What is the greatest common factor of 84 and 4740?
12
Calculate the greatest common factor of 40 and 64.
8
Calculate the highest common divisor of 84 and 324.
12
What is the highest common factor of 63 and 1449?
63
Calculate the highest common divisor of 115 and 621.
23
Calculate the highest common divisor of 143 and 11.
11
What is the greatest common factor of 34257 and 57?
57
Calculate the highest common divisor of 58 and 8.
2
Calculate the highest common divisor of 4598 and 38.
38
Calculate the greatest common factor of 124 and 310.
62
Calculate the highest common divisor of 224 and 7112.
56
What is the greatest common factor of 161 and 46?
23
Calculate the greatest common factor of 95 and 76.
19
Calculate the greatest common divisor of 242 and 88.
22
Calculate the highest common divisor of 6 and 22.
2
What is the highest common divisor of 44 and 319?
11
Calculate the greatest common divisor of 23760 and 27.
27
Calculate the highest common divisor of 64 and 512.
64
What is the highest common factor of 1903 and 99?
11
Calculate the greatest common divisor of 30 and 3090.
30
Calculate the highest common factor of 9617 and 177.
59
Calculate the greatest common divisor of 12606 and 44.
22
Calculate the highest common factor of 103 and 6901.
103
Calculate the highest common factor of 275 and 400.
25
What is the greatest common factor of 999 and 27?
27
What is the highest common factor of 220 and 27610?
110
What is the greatest common divisor of 5476 and 148?
148
Calculate the greatest common divisor of 10714 and 11.
11
Calculate the highest common factor of 140 and 6370.
70
What is the highest common divisor of 104 and 16?
8
Calculate the highest common factor of 232 and 40.
8
Calculate the highest common factor of 299 and 115.
23
Calculate the greatest common factor of 334 and 7181.
167
What is the highest common factor of 124 and 1426?
62
Calculate the greatest common factor of 244 and 1403.
61
What is the highest common divisor of 16 and 664?
8
Calculate the highest common divisor of 184 and 23.
23
Calculate the highest common divisor of 25 and 175.
25
Calculate the greatest common factor of 176 and 7172.
44
What is the greatest common factor of 98 and 637?
49
What is the highest common factor of 141 and 893?
47
Calculate the highest common factor of 144 and 656.
16
What is the highest common factor of 145 and 5?
5
Calculate the greatest common factor of 30 and 1630.
10
Calculate the greatest common factor of 121 and 11.
11
What is the greatest common divisor of 214 and 749?
107
Calculate the greatest common factor of 370 and 10.
10
What is the greatest common divisor of 20 and 4?
4
Calculate the highest common factor of 176 and 55.
11
Calculate the greatest common divisor of 13 and 299.
13
Calculate the greatest common divisor of 635 and 3048.
127
What is the highest common factor of 264 and 858?
66
Calculate the greatest common factor of 10760 and 40.
40
What is the highest common divisor of 72 and 4056?
24
Calculate the highest common factor of 36 and 108.
36
Calculate the highest common divisor of 207 and 18.
9
What is the greatest common divisor of 108 and 24?
12
Calculate the greatest common factor of 889 and 7.
7
What is the greatest common factor of 55 and 35?
5
Calculate the highest common factor of 87 and 8758.
29
Calculate the greatest common factor of 102 and 986.
34
Calculate the highest common divisor of 420 and 270.
30
What is the greatest common factor of 182 and 56?
14
Calculate the greatest common factor of 533 and 41.
41
What is the greatest common factor of 276 and 192?
12
What is the greatest common factor of 34 and 3?
1
What is the greatest common divisor of 60 and 12?
12
What is the highest common factor of 72 and 7824?
24
What is the greatest common divisor of 1431 and 53?
53
Calculate the highest common factor of 1900 and 100.
100 | {
"pile_set_name": "DM Mathematics"
} |
pose -8*z + 309 = 197. Does 6 divide z?
False
Let u be -1 + (96 - (0 + -3)). Suppose -6*y - u = -242. Does 12 divide y?
True
Let o(x) be the first derivative of 4 + 1/4*x**4 - 13*x - 13/2*x**2 + 10/3*x**3. Is o(-11) a multiple of 3?
True
Let r be ((-36)/(-42))/((-3)/(-14)). Suppose -3*k + r = -59. Suppose 4*i - 99 = -4*l + i, -l + 3*i = -k. Does 6 divide l?
True
Let r(y) = -y - 2. Let u be r(-6). Suppose -3*a - u*g = -6, -2*g - 3 = -4*a + 5. Is 1490/25 + a/5 a multiple of 19?
False
Let j(s) = s**3 + 5*s**2 + 12. Let l be j(-9). Let k be l/20 + 3/5. Does 8 divide 106/6 - 5/k?
False
Let h(j) = j + 23. Let x = -41 - -36. Is h(x) a multiple of 3?
True
Let r = 152 + -147. Suppose 0*j - 5*t = -r*j + 745, 3*j - 487 = -5*t. Does 22 divide j?
True
Let g = 788 - 759. Is 7 a factor of g?
False
Let i(f) = -f**3 - 3*f**2 + 5*f + 7. Suppose s + 3*y - 15 = 0, -5*s - 2*y - y = -27. Suppose 0*d + 4*r - 1 = -s*d, -d + r = 9. Is 11 a factor of i(d)?
False
Suppose 7 + 56 = a. Does 21 divide a?
True
Let k = -32 + 33. Let o = k + 9. Is 2 a factor of o?
True
Let w(j) = 5*j + 3. Let t be w(-3). Let b(x) = -8*x + 5 - 14 - 4. Is b(t) a multiple of 25?
False
Suppose 18*x - 79 = 11. Let o = 7 + 0. Suppose 3*g + x*a + 124 = o*g, -a + 4 = 0. Does 12 divide g?
True
Let q be (-7)/((-14)/(-4)) + 5. Let l(m) = 1 + 1 - 3 + m**q + 3*m. Is 5 a factor of l(2)?
False
Let w(z) = 67*z**2 + 6*z - 4. Is 13 a factor of w(6)?
True
Let x = 85 + -78. Let s(b) = -b**3 + 9*b**2 - 4*b - 8. Is 17 a factor of s(x)?
False
Let x(v) = v**2 - 11*v - 12. Let a be x(11). Let i be (15/(-6))/((-2)/a). Is ((-190)/i)/((-3)/(-18)) a multiple of 14?
False
Is (-979)/(-5) + 44/220 a multiple of 28?
True
Let k = -602 + 922. Is 10 a factor of k?
True
Suppose -12061 = -3*p - z, -2*p - 2*z - 4218 = -12260. Is 14 a factor of p?
False
Let y be (-11)/(-66) + (-1211)/(-6). Suppose -4*o = -h - y, h - 2*h + 257 = 5*o. Does 15 divide o?
False
Suppose 6*y - 15*y = -3186. Is 23 a factor of y?
False
Let a(y) = 11*y**2 + 6*y + 13*y**3 - 2 - 19*y**3 + 7*y**3. Is a(-9) a multiple of 23?
False
Let w = 38 - -106. Is 9 a factor of w?
True
Let s = -8 - 4. Let f = 28 + s. Suppose 4 = 2*k + 2*w - 40, -f = -4*w. Is 4 a factor of k?
False
Suppose -11 = -6*x + 7. Is ((-21)/(-3))/(x/6) a multiple of 10?
False
Let f(j) = -j**2 - 7*j + 2. Let k be f(-7). Suppose k*p + 1495 = 4*q - p, 0 = 2*q + 2*p - 730. Does 51 divide q?
False
Let h = 303 + 156. Is h a multiple of 16?
False
Let k(a) = -2*a + 14. Let u be k(6). Suppose 2*d - 105 = 3*z - d, -u*d = -3*z - 101. Let j = 2 - z. Is j a multiple of 10?
False
Let c(g) = g + 22. Let h(f) = f**3 + 3*f**2 - 2*f - 2. Let n be h(-4). Does 3 divide c(n)?
True
Let z = -111 + 159. Is 48 a factor of z?
True
Let q = 266 + -138. Suppose -5*t - 8 = -9*t. Suppose -q = -t*u - 4*f, -2*u - f + 167 = u. Is u a multiple of 10?
False
Let v be (4/7)/((-12)/(-42)). Suppose v*c - 6*c = 4*b + 8, -4*b + 17 = -c. Let i = 7 + b. Is i a multiple of 5?
True
Suppose -3*u - 548 = -t, -32*u + 16 = -28*u. Is 4 a factor of t?
True
Suppose -8*x + 15*x - 1967 = 0. Is 4 a factor of x?
False
Is (-22 - -13)/(2/176*-6) a multiple of 12?
True
Let p = 4 + 2. Suppose -184 = p*i - 1282. Suppose g = 4*o - i, 2*g - 84 = -2*o - 0*o. Does 15 divide o?
True
Let s(v) = -2*v - 4. Let a be s(0). Let c be 0 - 2*4/a. Suppose c*q + 49 = 143. Is 8 a factor of q?
False
Let r(y) = -2*y**3 - 5*y**2 - y - 2. Let u be 3/(-7) - (-322)/(-49) - -3. Is 50 a factor of r(u)?
True
Suppose -10961 = -15*w + 3544. Does 12 divide w?
False
Suppose 1315 = r + 4*r. Suppose -3*w + 4*c + r = 5*c, -3*w + 3*c = -267. Is 11 a factor of w?
True
Let s = -40 + 10. Let v = s + 91. Is 12 a factor of v?
False
Let f be ((-10)/(-30))/((-2)/(-30)). Suppose 5*m + 6 = -i + 30, -2*m + 5*i - 12 = 0. Suppose -g - 41 = -4*w, -w - g = -m - f. Does 5 divide w?
True
Let d = -64 - 3. Let o = d + 130. Does 21 divide o?
True
Suppose -n = 3*w - 2026, -4*w = -15*n + 19*n - 8096. Is n a multiple of 5?
False
Let a = 49 - 31. Let g be 1202/18 - (-4)/a. Let d = g + -6. Is 12 a factor of d?
False
Let h(d) = 12*d - 2. Let s(g) = g + 12. Let f be s(-14). Let x be f - -6 - (-2 - -2). Does 15 divide h(x)?
False
Let l = 8 - 2. Does 13 divide 2/l - 4/(36/(-1401))?
True
Suppose -12 = y - 17. Let g(i) = -3*i**2 + 18*i - 27. Let u(t) = 2*t**2 - 9*t + 13. Let d(s) = y*u(s) + 3*g(s). Is 27 a factor of d(-14)?
True
Let n(h) = 9*h**2 - 22*h + 4. Let q(b) = -5*b**2 - b**2 - 2 + 11*b + b**2. Let z(c) = -4*n(c) - 7*q(c). Is 14 a factor of z(5)?
True
Suppose -3*g + 2*h = -h - 2388, 2*g - 5*h = 1604. Is 22 a factor of g?
True
Suppose -5*t = 5, 0 = 4*p - p + t + 115. Let b(u) = -5*u. Let n be b(3). Is (p + 2)*10/n a multiple of 6?
True
Suppose 3 = j - 1. Suppose -j*s + 361 = -175. Does 21 divide s?
False
Let q be 2/(-9) - 2/(-9). Let m be 2 - (0 + (q - 0)). Suppose -m*t = t - 84. Is t a multiple of 14?
True
Suppose 4*k - 5*w = 2042, 2*w - 1030 = -7*k + 5*k. Is 27 a factor of k?
True
Suppose 2*o = 3*r - 550, 143*o - 146*o = 3*r - 555. Does 13 divide r?
False
Let l = 8 + -17. Let d be 18/8 + 2/(-8). Is 18 a factor of (-627)/l + d/6?
False
Suppose -169 = -6*y + 515. Is y a multiple of 57?
True
Let z(c) = 31*c + 9. Let f(k) = 93*k + 25. Let w(l) = 4*f(l) - 11*z(l). Is 10 a factor of w(1)?
False
Suppose -8*g + 20445 - 5533 = 0. Is 16 a factor of g?
False
Let c(z) = -3*z + 17*z + 88*z + 5. Let h be c(2). Suppose h = 5*a - p, -2*a - 128 = -5*a - 2*p. Does 7 divide a?
True
Let k be (-15)/10 - 1/(-2). Let x be (k/(-2))/(6/72). Is (x/24)/(2/328) a multiple of 17?
False
Suppose 0 = 3*c - 8*y + 5*y - 936, -5*y + 300 = c. Is c a multiple of 5?
True
Let k(g) = -g**3 - 7*g**2 + 10*g + 9. Let p be k(-9). Let s = -58 + p. Suppose -5*h = -s - 27. Does 7 divide h?
False
Let o be 562 + -2 + 0 - 5. Suppose 15*f - 12*f = o. Does 31 divide f?
False
Let f(p) = -p**2 + 9*p - 9. Let q be f(9). Let g = -2 - q. Suppose -s + 4 = -g. Is 3 a factor of s?
False
Let v(g) = 31*g**2 - 2*g + 6. Is 15 a factor of v(-4)?
True
Let q = -58 - -185. Suppose -5*o - q = -y, 3*y - o - 61 - 250 = 0. Does 34 divide y?
True
Suppose 8708 = 48*m - 700. Is 9 a factor of m?
False
Let x(a) = 80*a**2 - 2*a + 6. Let z be x(-3). Suppose -9*u + 3*u + z = 0. Is u a multiple of 26?
False
Let x be ((-4)/(-6))/(4/366). Suppose 0 = 12*z - 87 + 279. Let y = x + z. Is y a multiple of 16?
False
Suppose 4869*k = 4867*k + 1410. Does 16 divide k?
False
Let u(p) be the second derivative of -p**3/2 - 2*p**2 + p. Let n be u(-15). Suppose -3*l - 11 = -n. Does 7 divide l?
False
Is -118*(1 - (0 - -4)) a multiple of 6?
True
Suppose -4*a + 17 = -x, 5*a + 2*x + 3 - 8 = 0. Suppose -i = -2*i. Suppose -3*s - 5*t = -8*s + 235, -2*s + a*t + 99 = i. Is s a multiple of 21?
True
Let r = -8 - -10. Suppose 4*n + 22 = c + 2, -r*c - 4*n = -28. Does 8 divide c?
True
Let f(p) = 4 + 5*p**3 - 10 - 4*p**3 + 9*p - 8*p**2. Let u be (-8)/(-6) - 238/(-42). Is 2 a factor of f(u)?
True
Let p = 33 - 9. Suppose 10 = 5*x, 0*b - x + p = 2*b. Let m = 7 + b. Is m a multiple of 4?
False
Suppose 3*g = n - 495, -3*g + 1175 = 3*n - 262. Is 21 a factor of n?
True
Suppose 2*j + 4*l = -0*j + 14, 0 = 4*j - 4*l - 16. Let s be (237 + j)*1/2. Let d = s - 32. Is 12 a factor of d?
False
Let v(t) = t**2 + 8*t + 13. Let i be v(-5). Let r be (1/i)/(2/(-72)). Let w = 61 - r. Is 11 a factor of w?
False
Suppose -12 = 3*l - 3*r - 36, 5*l - r = 24. Does 12 divide l/1*40/5?
False
Let l = -5 + 5. Suppose -u + 6*u - 25 = l. Suppose -u*f - a + 14 = 0, 4*f = 3*a + 4 - 8. Does 2 divide f?
True
Suppose 73*i - 20812 = 62*i. Is 21 a factor of i?
False
Suppose -30*p = -24*p - 16464. Is p a multiple of 56?
True
Let l = -315 + 357. Is 9 a factor of l?
False
Does 13 divide 2/(-12) - (-1)/6*5461?
True
Let j(u) = 13*u + u**2 - 3*u + 2*u - 32. Is j(-16) a multiple of 6?
False
Let o = -37 - -37. Suppose 0 = -o*t + t - 4*x - 119, 2*x = -2. Is t a multiple of 20?
False
Let c(d) = -36*d + 44. Let t(f) = -f - 1. Let r(m) = c(m) + 3*t(m). Does 38 divide r(-4)?
False
Let x = 289 + 357. Is x a multiple of 19?
True
Let n = -1280 + 1854. Is 19 a factor of n?
False
Let u = -22 - -62. Let g = 118 - u. Does 14 divide g?
False
Let m = -705 - -952. Does 13 divide m?
True
Let i(s) = -s**3 + 4*s**2 + 3*s + 7. Let b be i(5). Let d be b/(-9)*(6 - -9). Let j(m) = 3*m - 9. | {
"pile_set_name": "DM Mathematics"
} |
Calculate the greatest common factor of 89564448 and 336.
48
Calculate the highest common factor of 30315 and 195849.
141
Calculate the greatest common factor of 21238210 and 889.
889
Calculate the highest common divisor of 1920 and 86157120.
960
What is the greatest common divisor of 19812 and 4221516?
156
Calculate the greatest common factor of 126 and 156002224.
14
What is the greatest common factor of 273309 and 4421874?
699
Calculate the highest common factor of 45 and 80723985.
15
What is the highest common factor of 52493771 and 341?
11
What is the highest common factor of 18800 and 15531200?
400
Calculate the greatest common divisor of 1035775015 and 25190.
12595
Calculate the highest common factor of 5252 and 133276.
52
Calculate the greatest common divisor of 2986155 and 720.
45
Calculate the highest common factor of 3258382 and 7018.
58
Calculate the greatest common factor of 61740 and 10860.
60
Calculate the highest common factor of 330437 and 1386752.
5417
Calculate the greatest common divisor of 88437 and 93603.
123
What is the greatest common divisor of 214179 and 441?
147
What is the greatest common divisor of 154328 and 11918?
202
Calculate the highest common factor of 1035747 and 437.
19
What is the greatest common divisor of 557613 and 651?
21
What is the greatest common factor of 1593 and 10625841?
531
What is the highest common divisor of 20 and 39632380?
20
What is the greatest common factor of 23817 and 60548418?
1401
Calculate the highest common divisor of 526 and 228554627.
263
What is the greatest common factor of 1238195 and 175525?
595
What is the highest common factor of 42 and 51467241?
21
Calculate the greatest common divisor of 90 and 9322758.
18
What is the greatest common divisor of 18161 and 2067676?
13
What is the greatest common factor of 1540812750 and 150?
150
What is the greatest common factor of 289650 and 800?
50
What is the greatest common factor of 13824 and 974808?
216
Calculate the greatest common factor of 64692 and 12624.
12
Calculate the highest common factor of 256 and 112541056.
128
What is the highest common divisor of 2645 and 77203525?
115
What is the highest common factor of 225316 and 1820?
364
Calculate the highest common factor of 1105914 and 722.
38
What is the greatest common divisor of 3433507 and 5486327?
3311
What is the greatest common factor of 41 and 153561154?
41
What is the greatest common factor of 10815 and 11248321?
721
What is the greatest common factor of 238411 and 4933799?
569
What is the highest common divisor of 112432311 and 63?
9
Calculate the highest common divisor of 359 and 30512.
1
Calculate the greatest common factor of 26 and 4661215.
13
Calculate the greatest common factor of 242609620 and 20.
20
Calculate the greatest common divisor of 17760 and 3098565.
555
Calculate the highest common factor of 30707744 and 96.
32
What is the highest common divisor of 2400691 and 823?
823
Calculate the greatest common factor of 140 and 35432110.
70
What is the highest common factor of 11122 and 209326?
166
What is the highest common divisor of 26742552 and 72?
24
What is the greatest common divisor of 670 and 677262?
2
What is the greatest common factor of 1219708 and 11836930?
4802
Calculate the greatest common factor of 884 and 10837684.
52
Calculate the greatest common factor of 3516 and 30252.
12
Calculate the highest common factor of 69 and 1262560137.
69
Calculate the greatest common divisor of 867 and 110123739.
867
What is the greatest common factor of 17 and 5272108?
17
Calculate the highest common divisor of 110231 and 107498.
911
What is the highest common factor of 2988846 and 26?
2
Calculate the greatest common factor of 18810912 and 20064.
1824
Calculate the highest common factor of 2920 and 807863260.
1460
What is the highest common factor of 102847704 and 72?
24
What is the highest common divisor of 8562402 and 216?
54
Calculate the greatest common divisor of 143757622 and 10932.
1822
What is the greatest common divisor of 1260735 and 2625?
105
Calculate the highest common factor of 28749353 and 58.
29
What is the highest common divisor of 65324460 and 10480?
2620
Calculate the highest common divisor of 150830122 and 10116.
562
Calculate the highest common divisor of 71148 and 7018.
242
Calculate the highest common divisor of 2016 and 31818.
6
What is the highest common factor of 422 and 306583?
211
Calculate the greatest common divisor of 16526331 and 27.
9
Calculate the highest common factor of 923303 and 9802544.
8629
Calculate the highest common factor of 236878 and 7956.
34
What is the greatest common divisor of 65380 and 3528652?
1868
Calculate the highest common divisor of 180091816 and 1592.
1592
Calculate the highest common divisor of 4176684 and 72.
36
What is the greatest common factor of 847970 and 3078?
38
Calculate the greatest common divisor of 95653 and 10909108.
2333
What is the greatest common factor of 412 and 71950959?
103
Calculate the greatest common divisor of 46197 and 34113918.
5133
Calculate the greatest common divisor of 22544562 and 402.
402
What is the greatest common factor of 255707 and 4699?
37
Calculate the highest common factor of 397782 and 347886.
1386
Calculate the greatest common divisor of 1506821390 and 1220.
610
Calculate the greatest common divisor of 398831794 and 258.
86
What is the highest common divisor of 628401 and 20677?
899
Calculate the greatest common factor of 9966894 and 49.
49
Calculate the highest common factor of 743766 and 2257626.
6582
What is the highest common factor of 22781 and 121429?
209
What is the highest common factor of 230 and 930005?
115
Calculate the highest common factor of 359945073 and 27.
27
What is the highest common divisor of 54332 and 1272008?
3196
What is the greatest common factor of 61768 and 7364?
28
What is the highest common factor of 186 and 15728160?
186
Calculate the highest common factor of 448544 and 352.
32
What is the highest common factor of 63953508 and 24?
12
Calculate the greatest common factor of 237682175 and 75.
25
What is the highest common factor of 4421759 and 6731?
127
What is the greatest common divisor of 1080528 and 48?
48
What is the greatest common factor of 103611171 and 2726?
1363
What is the greatest common factor of 755067869 and 34?
17
Calculate the greatest common divisor of 31842 and 762120.
522
What is the highest common divisor of 205 and 2309403925?
205
What is the highest common factor of 950690 and 3811?
103
Calculate the highest common factor of 1254 and 1498134.
66
What is the greatest common factor of 1221 and 586377?
33
What is the greatest common factor of 6 and 1502934?
6
Calculate the highest common divisor of 4599370 and 10.
10
What is the highest common divisor of 25920 and 3508920?
3240
Calculate the highest common divisor of 1462858 and 3557282.
5398
Calculate the greatest common divisor of 27690 and 130026.
78
What is the highest common divisor of 42775 and 416875?
725
What is the greatest common factor of 233327501 and 55?
11
What is the greatest common factor of 5166 and 20917638?
126
What is the greatest common factor of 152 and 16863272?
8
Calculate the greatest common factor of 68834374 and 28.
14
What is the greatest common divisor of 35866783 and 31142?
677
What is the greatest common factor of 47627 and 108020?
491
Calculate the highest common factor of 2756 and 182338.
26
Calculate the greatest common factor of 6985703 and 943.
41
What is the greatest common factor of 22 and 265606?
22
Calculate the greatest common factor of 55680975 and 25.
25
Calculate the greatest common factor of 289609 and 1240016.
4079
What is the greatest common divisor of 63729 and 62371?
97
Calculate the greatest common factor of 310838 and 194821.
2189
Calculate the greatest common factor of 235611 and 5918682.
1671
Calculate the highest common factor of 176690 and 6070.
10
What is the greatest common factor of 618403728 and 16?
16
Calculate the highest common factor of 36 and 20799063.
9
What is the greatest common factor of 3182 and 670588?
74
What is the greatest common factor of 258636 and 11436?
12
Calculate the greatest common factor of 711264 and 837.
93
What is the highest common divisor of 1232 and 2471056?
112
What is the gre | {
"pile_set_name": "DM Mathematics"
} |
90). Let m be d/(-2)*(-8)/3. Suppose 3*z + 2 = 26. Solve 3*t = v - 3 + 12, -m*v + z = -t for t.
4
Suppose -5*f = -s - 28, 3*f = -0*s + 3*s + 12. Let i = -218 - -220. Solve -d = 3, i*y + f*d + 17 = d for y.
-1
Let m(i) = 7*i + 135. Let x be m(-19). Solve -5*a + x*d = 29, -11 = 3*a + 4*d - 4 for a.
-5
Let i(m) = -20*m**2 + 239*m + 14. Let r be i(12). Solve 0 = 2*h + 2*h - 4*x, 3*h - r*x = -5 for h.
-5
Suppose 8*h - 2*h = 0. Suppose -2*d + 10 = 0, 5*d + 4 - 23 = x. Suppose 4*a - 6*r - x = -4*r, 0 = 5*a - 2*r - 9. Solve -c = -2*t - 3 - 1, -a*c = h for t.
-2
Let m = -842 + 846. Solve 19 + 0 = m*p + d, -5*p + d + 17 = 0 for p.
4
Let g = 119 - 110. Suppose -6 = -g*d + 7*d. Solve 0 = p + q + d - 0, 4*p - 18 = 2*q for p.
2
Suppose 0*k - 16 = -3*k + 4*i, -3*i + 6 = 0. Suppose -5*b - g = -96, 0 = b + 2*g - 20 + k. Solve 0*c = -5*o + 3*c, 5*o = -c - b for o.
-3
Let y be 10/2*2/5. Suppose 4*v - 12 = 5*z, z + 0*v = -y*v + 6. Suppose -7*b = j - 4*b, -3*j + b + 10 = 0. Solve z = h + 4*x - j, 0 = 4*x for h.
3
Let n be -5*1/((-15)/21). Let m(a) = a + 3. Let r be m(n). Let b = 10 - r. Solve -2*h - 3*f + 2 = 0, b*f + 4*f = 8 for h.
-2
Let k = 1260 - 1242. Suppose -5*g = -5*o - 5, -4*g + 25 = -2*o + 5*o. Suppose o*s = 16 + 5. Solve -3*x = -3*y + k, 0 = 2*x + s*y - 4*y - 8 for x.
-2
Suppose m + 5*t - 4 = 4*t, -2*m - 4*t = -10. Suppose -m*c = -2*d + 18, -7*c - 25 = -3*d - 3*c. Solve -3*w + 6*w = -n + 1, 0 = 3*w - d for n.
-2
Let u be (7 - 0)*(-9)/((-126)/8). Let j = -4 - -4. Let d = 4 + j. Solve -4*k = u*y - 9*k + 17, -5 = 3*y + d*k for y.
-3
Let r = -6 - -24. Suppose 0 = z + 5*b - r, 3*z - 2*b = b. Let p be 7/(28/(-12)) + 4. Solve 0 = -z*q - 2*l - 1 - p, 0 = -q + 2*l - 6 for q.
-2
Let n = 17 + -11. Suppose 4*o = n*o - 52. Solve 0 = 3*z - 5*j - 7, 5*z = -5*j + o - 1 for z.
4
Suppose 0 = -6*z + 4*z + 56. Let m = -18 + z. Solve -n - 5*b = 12, -m = -2*n + 5*b - 4 for n.
-2
Let z = -1 - -4. Suppose -268*o = -206 - 330. Solve q - 3 = -5*l, 2*q + 5 = -o*l + z*l for q.
-2
Let u = -1269 + 1272. Solve -c + 0*c + 12 = -u*v, -c = -4*v - 16 for v.
-4
Let j = -9 + 20. Let q = j + -9. Suppose -m = -q*m + 3. Solve 10 = d + m*d + 5*n, 2*d = -2*n + 6 for d.
5
Suppose 8 = -3*m + 5*m. Suppose -2*u - 2 = -2*d, -3 = m*u + 3*d - 34. Solve u*p + 8 = -0*q + q, 2*p = q - 2 for q.
-4
Let k be (-32)/(-12) - (-1)/3. Suppose 5*a + a = 12. Suppose 8 = -2*v, a*v = -0*r - 3*r + 19. Solve -4*o = 5*m - 10, -r = -0*o - k*o - 3*m for o.
5
Let j(w) = w**2 + w - 8. Let d be j(-8). Suppose 0*g = -3*g + d. Suppose 3*o = -o + g. Solve l - 3 = -2*l, -22 = -o*i - 2*l for i.
5
Suppose 3*x = -2*m + 15, 0 = 5*m - x + 6*x - 25. Suppose 2*t = -m*t + 8. Solve o = t*j + 2*o - 21, -3*j + 2*o + 2 = 0 for j.
4
Suppose 19*d - 288 = 3*d. Solve 4*j + d = -2*g, -5*g = -5*j - 7 + 22 for j.
-2
Let i(r) be the second derivative of -r**3/2 - 7*r**2 - 5*r. Let d be i(-5). Solve 0 + d = 2*j + f, 0 = 3*j - 5*f - 21 for j.
2
Suppose 2*z - 13 = -3*h, z + 2*h = h + 6. Let s = 2 - 0. Solve 0 = -f - z*b - 20, s*f + b + 13 = -0*b for f.
-5
Suppose -5*z + 4*a = -22, 33*z = 29*z - 5*a - 7. Solve 0 = 4*i - 20, -x + z*i - 8 + 0 = 0 for x.
2
Let z = 43 - 21. Let h(f) = 5*f - 8. Let y be h(6). Let c = z - y. Solve -4*u = 3*o + 7, -3*u + 2*u - 1 = c for o.
-1
Let f(s) = -s**3 + 8*s**2 - 14*s + 15. Let w be f(6). Solve v - 5*v - w*z = 29, -4*v + z - 17 = 0 for v.
-5
Suppose -9*f + 11 = -34. Let r be 2/(-6) + 30/9. Solve p + 2*p = i - 12, r*p + 12 = -f*i for p.
-4
Let z = -8 - -13. Suppose 9*c - 2*c = 112. Let k(w) = w**2 - w + 4. Let p be k(0). Solve -c = -p*m - 2*j, -z*m - 8 = -5*j + 2 for m.
2
Let c = 1883 - 1870. Solve -z + 4*d - 9 = c, -4*z - 2*d = -2 for z.
-2
Let r be ((-2)/4)/((-4)/24). Let y = 529 - 525. Solve 3*i + 3 = -r*h, 2*i + 1 + y = h for i.
-2
Suppose -588*x = -608*x + 100. Solve -m - g = 1, 5*m + x = -2*g + 7*g for m.
-1
Let o be 36/4 - 0 - 6. Solve -4*b - 10 = -2*i, i - o*b - 25 = 3*i for i.
-5
Let h(j) = -11*j**2 + 73*j + 31. Let o be h(7). Solve 0 = -2*n + 3*w + 20, -3*w - 24 = -o*n - 0*w for n.
4
Suppose 6*p + 12 = 10*p. Solve -4*k + 5*o - 5 = -p*k, k = -5*o + 5 for k.
0
Suppose -19*j - 15*j = -102. Solve 4*y = 5*k + 24, -5*k + 4 = -j*y + 27 for y.
1
Let p = -18 + 17. Let s = p - -16. Solve -5*u + 5*k + s + 5 = 0, u - 4 = -5*k for u.
4
Let c(s) = -s**2 + 5*s + 29. Let h be c(8). Solve -4*z + 2*l = -2*z + 2, -h*z + 3*l = 5 for z.
-1
Let w be (9*(-2)/(-8))/((-1)/4). Let u = 30 + w. Solve -2*i + 4*o = -20, -i = -4*o + 3 - u for i.
2
Let d be (-1)/6*-4 - (-152)/(-3). Let h = d - -50. Solve h*j = 2*j - 5*x - 29, 0 = j + 2*x + 8 for j.
2
Let t(m) = m**3 - 47*m**2 + 134*m - 85. Let s be t(44). Solve l = 5*z + 1, 4*z + s*l - 3 = -z for z.
0
Let f(h) = -28*h - 1. Suppose -3*n = -4*s + 2, 3*s - n + 2 = 1. Let a be f(s). Let r be (-1 + 5)*a/36. Solve g + r*m + 6 = 0, -m - 12 = -g + 2*m for g.
3
Suppose -3*y + 19*g = 14*g - 22, 5*y - 50 = -5*g. Solve -t + 4*u = u - y, -2*t = 5*u + 4 for t.
3
Suppose 2*l = -3*s - 2 + 4, -31 = -4*s + 3*l. Suppose -o = 3 + 2. Let n = 5 + o. Solve s*p + 4 = -c, 2*p + n - 8 = -3*c for p.
-2
Let w(j) = -4*j - 16. Let z be w(-4). Suppose p - 13 - 14 = z. Solve 3*o - p = u - 5*u, u + 5*o - 28 = 0 for u.
3
Suppose -264 = -10*x - 42*x - 4. Let p(w) = -w**3 + 4*w**2 + 3. Let s be p(4). Solve x*q = -g - s, 4*q - 4*g + 18 = 6 for q.
-1
Let m(z) = 3*z + 2. Let f(t) = -16*t - 10. Let c(b) = -2*f(b) - 11*m(b). Let s be c(-5). Solve -14 = -s*d + 4*n, -5*d - 25 = 2*n + n for d.
-2
Let y be (-7 - (-1 + 0)) + 8/8. Let d(r) = r**2 + 3*r - 5. Let h be d(y). Solve 3 = -3*g + 3*i, 2*i + h = g - 2*i for g.
-3
Let s = -962 - -966. Solve 5*m = 3*m + s*q + 6, 0 = m - 5*q - 15 for m.
-5
Suppose -15*v + 7*v = -24. Solve 4*u = -16, -3*u - 29 = v*a + 2*u for a.
-3
Let l = -616 + 618. Solve 0 = 5*m - z + 10, l*m + 2*m + 4*z + 32 = 0 for m.
-3
Suppose -5*w + 2*w = 12. Let r be 2*-1 - w/2. Suppose -3*g + 3*z = 6, -g + 4*z = 79 - 62. Solve r = -g*b + 2*a + 8 - 3, b - 3 = 2*a for b.
1
Suppose -m - 4 = -3*o - 2*m, 4*o - 18 = 5*m. Solve 2*i = -o*f, -2*f + 2*i = 2*f - 12 for f.
2
Let o = -251 + 255. Solve 0 = -b - j + 2, o*j = 3*b + 5*j for b.
-1
Let l(p) = -5*p - 22. Let o be l(-7). Let d = -13 + o. Suppose d = -3*m + 31 + 5. Solve -3*k - 8 = -5*a, k = 4*k - m for a.
4
Let u be 36/2 + (12 - 15). Let g be u/9 - 2 - (-10)/3. Solve 3*w = -4*y - 10, -y = 2*w - g*w - 1 for y.
-1
Let t = -267 - -282. Solve -4*j = -3*s - t, 4*s = -5*j - 0*j + 11 for s.
-1
Let q(c) = c**2 - 8*c + 12. Let m be q(7). Suppose -44 - 6 = -m*b. Solve 2*o - 3*z + b = 0, 3*o - z + 5 = -3 for o.
-2
Let w(o) = 2*o**3 + 8*o**2 + 5*o + 25. Let k be w(-4). Solve 0 = 5*n + 4*z + 17, -21 = n - k*z - 6 for n.
-5
Let z = -13 + 36. Suppose -4*a - z = -y, 3*y - 7 = -a - 3. Solve g - 15 = -y*f - 0*g, 0 = -5*g for f.
5
Let b(v) = -32*v + 24. Let x be b(-3). Let l = 146 - x. Solve -y + 4 = -0*y - 3*w, 4*y + 2*w = -l for y.
-5
Let m be 1/2 - ((-756)/8)/(-9). Let u be (-3)/(0 - (-15)/m). Solve 5*k - 3*z = -8*z - 25, 5*k - 3 = u*z for k.
-1
Let f be 1/(-1) - 1 - -3. Let i be (30/24)/(f/12). Let g = 8 + i. Solve 2*a + g = -3*h, -7*a - 15 = -2*a - h for a.
-4
Suppose -d - 48 = -13*d. Suppose 2*k + 6 = -d*t, 13 = -5*t - 2. Solve 0 = -3*z + 4*x + 18 + 5, 17 = k*z - x for z.
5
Suppose 2*w + 110 = 12*w. Let u = w + -8. Solve 3*i - 4*q = -3*q + u, -4*i + q = -4 for i.
1
Let a be 22/(-77) - (-79)/7. Suppose -20 = a*s - 16*s. Suppose -2*u = -s*h + 48, 3*u = -4*h + 13 + 15. Solve -m + l + h = 3*m, -5*l - 2 = 4*m for m.
2
Let j(z) = -z**2 + 6*z + 11. Suppose 2*l - 3*u - 16 - 1 = 0, -3*l - 4*u + 17 = 0. Let o be j(l). Solve 16 = o*g + 7*n - 2*n, 0 = 3*n for g.
4
Suppose 2*f = 2*g + 2, 4*f + 3*g - 22 = 10. Solve -5*v + 4 = -2*y, 4 = f*y - 3*y - v for y.
3
Let v(z) = -2*z**2 + 2*z + 60. Let f be v(0). Suppose -10 = f*x - 65*x. Solve 2*a = -2*a - g - 11, a - 6 = -x*g for a.
-4
Suppose 7*c = 9*c - 6. Let t be (-8)/(c + 69/(-21)). Solve -4*z = -4*n + t, -3*n = 3*z + z + 14 for z.
-5
Let x be (1 - 1)*2/(-6). Let k(p) = p**2 - 8*p + 9. Let l be k(6). Let u be (-42)/(-10) + l/15. Solve 4*r + h - 10 = x, r + 0*h + u*h - 10 = 0 for r.
2
Suppose g = 6*g + 25, 3*g = d - 15. Suppose 2*z - 2*h = d, -5*z + 30 = -0*h + 5*h. Solve 0 = -2*t - z*m - 17, 3*m = t - 2*m - 11 for t.
-4
Suppose 5*h = 20, u - 4*u = -3* | {
"pile_set_name": "DM Mathematics"
} |
-2/15
a
Which is the nearest to -1/15? (a) 0.4 (b) 0.2 (c) 0.5 (d) -2
b
Which is the closest to -0.1? (a) 1/2 (b) 0.09 (c) 7
b
What is the closest to 1 in 0, 1.9, 0.4?
0.4
What is the closest to 0 in 1111, -4, 0.1, 3?
0.1
Which is the nearest to -1/4? (a) -2.78 (b) 4 (c) -3
a
Which is the closest to 0? (a) -3/4 (b) -2/9 (c) 0.4 (d) 3
b
Which is the closest to 8? (a) -1 (b) 2/11 (c) -0.3 (d) 0.4
d
What is the closest to 1 in -1/5, -14, -0.4?
-1/5
What is the nearest to 0 in -0.15, 4/5, 4, -5?
-0.15
What is the closest to -0.1 in -5, -4.4, -0.3, 0.4?
-0.3
What is the nearest to 0.099 in -1/4, 3, 2/21, 0.1?
0.1
Which is the closest to 3? (a) 0.6 (b) 1 (c) -2/3 (d) -4
b
Which is the closest to 2/5? (a) 1 (b) 4 (c) -0.3 (d) 2
a
Which is the nearest to 1? (a) -5 (b) -38 (c) -1 (d) -0.4
d
Which is the nearest to 2/9? (a) -1 (b) -2/449 (c) -3
b
Which is the nearest to 1? (a) 0.25 (b) -0.3 (c) -1/11 (d) -1/4
a
Which is the closest to 2? (a) 0.4 (b) -2/5 (c) 0
a
Which is the nearest to 1? (a) -6/7 (b) 0.4 (c) -1 (d) -2/5
b
What is the nearest to -1/4 in 0.4, 22, 1/7, -0.2?
-0.2
What is the closest to 2/7 in -2/19, -2/7, 5/2, 0.5?
0.5
What is the closest to -15 in -5, -2, 3/14?
-5
Which is the nearest to -1.6? (a) 0 (b) 2/9 (c) 8
a
What is the closest to 0.2 in -1.1, -1/5, 3/4?
-1/5
What is the closest to 2/17 in 2, 3, 1/5, 0?
1/5
Which is the closest to 285? (a) 17 (b) -0.2 (c) -4
a
Which is the closest to 0? (a) 0.034 (b) -0.5 (c) 4 (d) -2/3
a
Which is the closest to 0? (a) 6 (b) -3/23 (c) -7
b
Which is the nearest to -1.6? (a) -0.3 (b) -0.4 (c) -2/7
b
Which is the nearest to -0.1? (a) 1 (b) -2.7 (c) 0.4 (d) -5
c
What is the closest to -5 in 1/3, -2, 2/11, -1?
-2
What is the closest to 11 in 1, -2, -7/4, -4?
1
What is the nearest to 0.1 in -3/4, 1, -1, -0.2?
-0.2
Which is the nearest to 0? (a) 134 (b) -4/3 (c) 0.2
c
Which is the closest to 2/5? (a) -0.1 (b) -11/34 (c) -2/13
a
Which is the nearest to -0.2? (a) -0.12 (b) 5 (c) 2/13 (d) 0.4
a
What is the nearest to 0.123 in -2/11, 0.5, 2?
-2/11
What is the closest to 4 in 0.4, -0.3, 0.3, -3/2?
0.4
Which is the closest to 2/9? (a) -3/4 (b) -2 (c) -0.1 (d) 1/2
d
What is the closest to 0.1 in -38, -0.1, 0, 2/15?
2/15
Which is the closest to -4.4? (a) -1/2 (b) -4 (c) -0.2 (d) 1/3
b
What is the nearest to 3 in 4, -2, -1?
4
What is the nearest to 65 in -0.4, -2/7, -10?
-2/7
Which is the nearest to 1/4? (a) -4 (b) 1 (c) 2/5 (d) 0
c
Which is the closest to -8? (a) -5 (b) -2/3 (c) -0.3 (d) 0.3
a
What is the closest to 3 in -0.3, 8, -0.05?
-0.05
What is the closest to 1.8 in -2/5, 6, 1?
1
What is the closest to 1/4 in -3, -2/1551, -1, 5?
-2/1551
What is the nearest to -0.1 in -0.3, 5, -2, 3?
-0.3
Which is the nearest to -4? (a) 14 (b) 2 (c) 3
b
What is the closest to 0 in -0.5, -0.01, -0.1?
-0.01
What is the nearest to 1 in 0, 137, -14?
0
Which is the closest to 1/2? (a) -2/7 (b) -5 (c) 2 (d) -0.3
a
Which is the nearest to 4? (a) -0.1 (b) -3/4 (c) 3 (d) 2
c
What is the nearest to -1 in 2, 2.5, -2, -2/13?
-2/13
What is the nearest to -2/25 in 1, -0.11, 2, 2/3?
-0.11
What is the closest to 0 in 0.5, -14, -0.17?
-0.17
What is the closest to 0 in -282, -0.3, -1/3?
-0.3
What is the nearest to -1 in 1, 0.1, -3/94?
-3/94
What is the closest to -2/9 in 0.4, -0.3, -2/19, -2?
-0.3
Which is the closest to 2? (a) 0.4 (b) 5 (c) 0 (d) -4/7
a
What is the closest to 1 in -83, 0, -2, 5?
0
Which is the closest to 0.2? (a) 3/8 (b) -1678 (c) -3
a
What is the closest to 12 in -0.2, 0.2, -4?
0.2
Which is the closest to -4? (a) 5 (b) -8/9 (c) 4 (d) -0.2
b
What is the nearest to -1 in -0.16, 1/5, 3/8?
-0.16
What is the closest to -0.05 in 5, 1, -0.08?
-0.08
Which is the closest to -9? (a) 0 (b) -9 (c) -2/7
b
What is the nearest to 0.1 in -0.02, -3/7, -82, -3?
-0.02
Which is the nearest to -1/43? (a) -3/2 (b) -2 (c) -0.3
c
Which is the nearest to -21? (a) -5 (b) 11/2 (c) -7 (d) 0.1
c
Which is the closest to -0.08? (a) -0.4 (b) -3/19 (c) 0.4 (d) 5/6
b
What is the closest to -0.4 in 0.2, 2/3, -41?
0.2
Which is the nearest to -0.2? (a) -8 (b) -2 (c) 3/8 (d) -0.06
d
Which is the closest to 0.1? (a) -4 (b) -0.3 (c) 0.3 (d) 3
c
Which is the closest to -0.1? (a) -0.5 (b) -4 (c) 0.34
a
Which is the nearest to 3? (a) -2/7 (b) 3 (c) 1/19
b
Which is the closest to -1/5? (a) 32 (b) 4 (c) 5
b
Which is the nearest to -0.1? (a) -2.5 (b) -4 (c) 1 (d) -3
c
Which is the closest to -0.4? (a) -2 (b) 9 (c) 1/3
c
Which is the nearest to 0.2? (a) -5 (b) 0.1 (c) 0 (d) 1.5
b
What is the closest to -0.1 in 0, -213, -1/3?
0
Which is the nearest to 2/3? (a) -3 (b) 0.3 (c) -439
b
Which is the nearest to -1? (a) -1 (b) -26 (c) 3/4
a
What is the nearest to 4 in 106/5, 4, -1/9?
4
Which is the nearest to -13? (a) 2/15 (b) 2/211 (c) 0.3
b
What is the nearest to -0.1 in 3, -15, -1/3?
-1/3
Which is the nearest to -1? (a) 0 (b) 0.13 (c) -0.3
c
Which is the closest to -30? (a) -31 (b) 0.2 (c) 2
a
Which is the nearest to 1? (a) -0.4 (b) -13 (c) -2/13
c
What is the nearest to -1 in 2.4, 5, -5/4, 0.3?
-5/4
What is the nearest to 1 in -8, 7/5, -2, -4?
7/5
Which is the closest to -2/3? (a) -2/3 (b) 16 (c) 5 (d) -4
a
Which is the closest to 2? (a) -1/3 (b) 0.2 (c) -1/2
b
What is the closest to 12 in -1/3, -2, 5, -1/5?
5
Which is the closest to 1? (a) 2 (b) 0.4 (c) 1.9
b
What is the closest to -3 in -3/5, 48, 1.3?
-3/5
Which is the nearest to -1633? (a) -1/4 (b) 5 (c) 0
a
What is the nearest to -1 in -13, -5, -0.05, -0.01?
-0.05
Which is the nearest to -27? (a) -1.3 (b) -5 (c) -2
b
Which is the closest to 1? (a) -1/102 (b) 0.1 (c) 1/2
c
Which is the nearest to 0.1? (a) -0.5 (b) 3/5 (c) 2/23 (d) 1/4
c
Which is the nearest to -1/3? (a) 0 (b) 1 (c) 0.2 (d) -2/5
d
What is the nearest to -0.1 in -1/6, 2.1, 1, 2/7?
-1/6
Which is the closest to -0.3? (a) 0 (b) 3 (c) -1/4 (d) -1
c
Which is the nearest to -19? (a) 2/9 (b) -0.9 (c) 3/2 (d) -2/21
b
Which is the closest to -5? (a) 0.2 (b) 2/13 (c) -4 (d) -4/3
c
Which is the nearest to 0? (a) 22/5 (b) 2/13 (c) -0.4 (d) 1/2
b
Which is the nearest to -1/9? (a) 1/3 (b) -0.1 (c) 5 (d) -0.6
b
What is the nearest to 1 in 1/11, 65, 0?
1/11
Which is the nearest to -1? (a) 1/17 (b) -0.2 (c) 0.3
b
Which is the nearest to -1? (a) -2 (b) -7 (c) 2/7 (d) 1/7
a
Which is the nearest to -4? (a) 4/5 (b) -2/3 (c) -37
b
What is the nearest to -14 in 1/3, -1, -4, -2/3?
-4
What is the closest to 23 in -0.4, 0.2, 1, -3?
1
Which is the nearest to 0.4? (a) 0.2 (b) -4 (c) 2/19 (d) 5
a
What is the closest to -18 in 6, 1, 2?
1
What is the closest to -2/3 in 1/3, 2/11, -56, 2/3?
2/11
Which is the nearest to -3/32? (a) -0.3 (b) -1/2 (c) 4 (d) -0.2
d
What is the closest to 0.7 in 3, -0.1, 1, 1/3?
1
Which is the closest to -2/5? (a) -1 (b) 0.62 (c) 4 (d) -9
a
Which is the nearest to 2? (a) 5 (b) 0.878 (c) 4
b
Which is the nearest to -0.1? (a) -9 (b) 0.6 (c) -4 (d) -1/5
d
Which is the closest to -1/3? (a) -0.1 (b) -3/19 (c) 4/3 (d) 0
b
Which is the closest to 23? (a) -5 (b) -54 (c) -1
c
What is the nearest to 1/8 in 7/9, 0.2, 16?
0.2
Which is the nearest to -0.3? (a) -63 (b) -0.8 (c) 0.3
b
Which is the closest to 0.1? (a) 1/4 (b) -35 (c) -0.3
a
What is the nearest to -15 in 5, 1/3, -1/2?
-1/2
What is the closest to 1/4 in 0.3, 3, -46?
0.3
What is the closest to 0.1 in -9, 0.3, -2/3, 0.1?
0.1
What is the nearest to 2 in 10, -2, -3, 2?
2
Which is the nearest to 1? (a) 2 (b) 42.6 (c) -4
a
Which is the nearest to -1? (a) 3 (b) 0.3 (c) -30
b
Which is the nearest to 1? (a) -24 (b) 0 (c) 5
b
What is the closest to 1/5 in 1/4, -1/2, -2, -5?
1/4
Which is the nearest to -0.34? (a) -0.2 (b) -1 (c) 0.08
a
What is the closest to 0 in -3, 0, 9, -2?
0
Which is the nearest to 3? (a) 0 (b) 0.5 (c) -4.7 (d) 2
d
What is the closest to -0.1 in 2/21, 2/3, 24?
2/21
Which is the nearest to -1? (a) -23 (b) 0 (c) 1 (d) -5
b
Which is the closest to 19? (a) -2/9 (b) 0 (c) 0.01
c
What is the nearest to 1 in -18, 1, -1/4, -7/2?
1
What is the closest to 1 in -0.1, -1, -2, 0.3?
0.3
What is the nearest to 1 in -1, -2, -0.05, - | {
"pile_set_name": "DM Mathematics"
} |
). What is x rounded to the nearest ten thousand?
50000
Let s = 49935.0323 + -49932. What is s rounded to 1 decimal place?
3
Let x be 8776998*1/(1 - 0) - (1447 - 1449). Round x to the nearest one hundred thousand.
8800000
Let p = -7747904403678498.3999261 + 7747904849718225. Let b = p - 446039052.6. Let v = b - 674. Round v to 6 decimal places.
0.000074
Let c = 5504.66 - 5411. What is c rounded to the nearest integer?
94
Let v = -40261.9432 + 48.5432. Let h = -40213.33500165 - v. Let p = h + -0.065. What is p rounded to six dps?
-0.000002
Let r = -0.05318 - 6.98482. Round r to the nearest integer.
-7
Let t = 6894280 + -4123885. Suppose 12*k = 17*k + t. Let y = -304079 - k. Round y to the nearest ten thousand.
250000
Let b = -10015724318 - -10015307474.9843. Let k = 416816 + b. Let u = 27 + k. What is u rounded to three decimal places?
-0.016
Suppose 0 = -11*o + 29 + 37. Let w be o/(-30) - 35999998/10. What is w rounded to the nearest 1000000?
-4000000
Let i = 7589598034.6118 - -1510145.3882. Let r = i + -7591108173.209999433. Let v = -6.79 + r. What is v rounded to 7 decimal places?
0.0000006
Let v = 12132.83 + -12053. Let q = -80 + v. Let a = 0.1666 + q. Round a to 3 dps.
-0.003
Let t = -315.7596 + -0.2804. What is t rounded to the nearest integer?
-316
Suppose 0 = 5*t + 5*k - 15080595, -1645791 = 2*t - 3*k - 7678014. Suppose -6*q - t = 86826. Let a = q + 1057157. Round a to the nearest one hundred thousand.
500000
Let a = -0.2456 + 0.282. What is a rounded to one decimal place?
0
Suppose -p - t = -1124126, 248*p + 6*t + 5620564 = 253*p. What is p rounded to the nearest 100000?
1100000
Let y = -21.724 - -67.116. What is y rounded to the nearest ten?
50
Let u = -4111532 - -4111533.852791. Let b = 1.854 - u. What is b rounded to 5 dps?
0.00121
Let m = 34 - 33.974. Let k = m + 54.974. Let l = k - 54.9999927. Round l to 6 decimal places.
0.000007
Let n = -786.94 + 803. Let w = n + -11.29. Let b = w + -0.37. Round b to the nearest integer.
4
Let q be 4 - -2*(-1)/1. Let a be q/6 + 3766/6. Let o = -448 + a. What is o rounded to the nearest 10?
180
Let k = -12498.23436 + 12498. What is k rounded to two decimal places?
-0.23
Let w = 26681 + 11341. Let x be (87/6)/(3/w). Suppose -b - 81227 - x = 0. Round b to the nearest 10000.
-270000
Suppose -5*g - 11*g - 331546 + 56826 = 0. What is g rounded to the nearest 10000?
-20000
Let b = 6211999.80905 + -6212443. Let w = -0.00905 + b. Round w to the nearest 10.
-440
Let b = 3.433 + -0.563. Let z = -145.87 + b. Let u = 142.07 + z. What is u rounded to the nearest integer?
-1
Let l be -40 - (-1)/(4 - 5/1). Let t be ((-51650)/1)/(1 + l/40). What is t rounded to the nearest one hundred thousand?
2100000
Let s = 2.44 - 17.04. Let v = s - -14.60512. Round v to four dps.
0.0051
Let r(n) = 2640*n. Let i be r(5). Let m be i/(((-21)/(-1610))/(-1)). What is m rounded to the nearest 100000?
-1000000
Let s(t) = -5*t**3 - 6*t**2 - t + 66. Let m be (792/126)/((-6)/(-21)). Let w be s(m). What is w rounded to the nearest 1000?
-56000
Let q = 0.486306609 - 0.4863. Round q to seven dps.
0.0000066
Let u = -22151.21 + 22020. Round u to the nearest 10.
-130
Let u be (71/213)/((2 + 0)/(-6)). Let m be 72/36 + (-1452 - u). What is m rounded to the nearest one hundred?
-1400
Let b(s) = -14*s - 19. Let u(o) = 3*o + 4. Let a(n) = 2*b(n) + 11*u(n). Suppose -192 = -7*r - 52. Let d be a(r). Round d to the nearest 10.
110
Suppose -b - 2*f - 175607 = -542192, -2*f - 1466360 = -4*b. Let t = -206511 - b. What is t rounded to the nearest 100000?
-600000
Let c = 90 - 167. Let n = -77.14 - c. Let s = n + 0.14176. What is s rounded to 4 dps?
0.0018
Let j = -2807.2605 + 2903.85. Let l = j - -0.0105. What is l rounded to the nearest integer?
97
Let a = -3673.361161 - -3673.4. What is a rounded to 3 dps?
0.039
Let p(o) = 2*o**3 - 51*o**2 + 109*o - 180. Let y be p(-39). Round y to the nearest one hundred thousand.
-200000
Let t = 1123.596915 + -1123.6. Round t to four decimal places.
-0.0031
Suppose 66*a - 527175 = -69*a. What is a rounded to the nearest 1000?
4000
Let y = -17.5222 - -15.132. Round y to 1 dp.
-2.4
Let t = -134.2431942 + 172.14318776. Let v = t - 37.9. What is v rounded to six dps?
-0.000006
Let w = -0.33 - -0.445. Let f = -208.585 + 215.6. Let j = f - w. What is j rounded to the nearest ten?
10
Suppose -3*s = -16863898 - 6836090. Let z be 0/(30/6) - 6/(-1). Let o be z/15 - s/(-10). Round o to the nearest one hundred thousand.
800000
Let b = 239605 + -239503.347. Let a = 102 - b. Round a to the nearest integer.
0
Let u = -127.45034 + 127.29. Round u to two dps.
-0.16
Let j = -672.391 - -198.20952. Let s = 0.08148 + j. What is s rounded to the nearest 10?
-470
Let k(c) = 15 - 16 + 10 - 2*c. Let f be k(3). Suppose -f*d + 8 - 2 = 0, -11100010 = 3*a - 5*d. Round a to the nearest 1000000.
-4000000
Let y = -27219045.260347429 - -1048160.260343279. Let z = y + 26170867.3. Let j = z + 17.7. Round j to 6 decimal places.
-0.000004
Let i = -0.55124 + -0.14676. What is i rounded to 0 decimal places?
-1
Let m be ((-3)/(1 + 5))/((-3)/16440). Let t be m/1 + 0/(-5 - 0). Suppose -z - z + t = 0. Round z to the nearest 100.
1400
Suppose 0*b = 2*b + 3627772. Let q be (-1)/((-5)/(22069433 - 3)). Let n = q + b. What is n rounded to the nearest 1000000?
3000000
Let l = -2432.3378 + 2403.28. Let i = 28.38 - -0.62. Let h = i + l. Round h to 2 dps.
-0.06
Let p = 67.437 + -135.863. Let i = -0.074 + p. Round i to the nearest ten.
-70
Let h = -0.041 - -229.041. Let s = 236.35 - h. Round s to 0 dps.
7
Let t = 2457.94076 - 2458. What is t rounded to 3 decimal places?
-0.059
Let h = 0.08586 + -367.98586. Round h to the nearest ten.
-370
Let g = 51 + -60.2. Let r = -58.98 + g. Let k = 68 + r. Round k to the nearest integer.
0
Let b = 27626.000057588 - 27626. What is b rounded to five decimal places?
0.00006
Let h = 56.5 - 56.499992253. Round h to six decimal places.
0.000008
Let v = 2.4 - -3.6. Let p = v - -24. Let z = -29.996 + p. What is z rounded to two decimal places?
0
Let j = -22.922 - -22.76041. Round j to three decimal places.
-0.162
Let r = 6228.957655 - 6229. What is r rounded to 3 dps?
-0.042
Let d = -143.004 + 139.52. What is d rounded to 0 dps?
-3
Let m = -0.35 + 0.23. Let v = m - -0.1200026. What is v rounded to 7 decimal places?
0.0000026
Let f be (-10)/(-4)*(-21)/(420/(-32)). Suppose 291784 = 4*o + 4*v + 2291764, -f*v + 20 = 0. Round o to the nearest one hundred thousand.
-500000
Let y = 2768.42544 - 2768. Let a = -0.431 + y. What is a rounded to 4 dps?
-0.0056
Suppose 83597589 + 145321911 = 45*l. Round l to the nearest 100000.
5100000
Let v = -147.16 - -165.662. Round v to the nearest integer.
19
Suppose 3*z = z + 12. Let g(i) = -14845*i**3 - 3*i**2 + 5*i - 12. Let b be g(-4). Suppose 0 = 5*f - z*f + b. What is f rounded to the nearest 100000?
1000000
Let h = 300 - 169. Let n = -203 + h. Let x = -72.00000067 - n. What is x rounded to seven decimal places?
-0.0000007
Let g = -43.0693 + 42.73. Round g to two dps.
-0.34
Let f = 73 + -235. Let y = f - -161.9819. What is y rounded to 3 decimal places?
-0.018
Let g = 7674393869 + -7674393849.000000335. Let s = g + -20. Round s to 7 dps.
-0.0000003
Let v(q) = -2*q**2 + q + 134. Let f be v(0). Suppose f*k = 137*k - 189000. What is k rounded to the nearest 10000?
60000
Let f = 14.716 - -2.694. Let p = 0.41 - f. Let s = p + 17.00000082. What is s rounded to seven dps?
0.0000008
Let p(j) = -7*j**3 - 4*j - 7. Let g be p(-5). Let c = 978 + g. Suppose -2*h + c = -70334. Round h to the nearest 1000.
36000
Let a be 11552128/(-280) + (-4)/10. Let f be (-7 - a - 1)*4. Round f to the nearest 10000.
170000
Let h = 9828 + -9990.95. What is h rounded to the nearest ten?
-160
Let h = -120563877971163368 + 120563876540641038.09999763. Let j = h + 1430522338. Let c = 8.1 - j. Round c to seven dps.
0.0000024
Let j = 0.035215475 + -0.03522. Round j to six decimal places.
-0.000005
Suppose 318 = 4*g - 3*k, 0*g + 3*k - 87 = -g. Suppose 5*j + g = 6. Let b be (4/6)/(2/j). Round b to the nearest integer.
-5
Let o = 35 + -32. Suppose -104 = -f + o*s, -3*s = -3*f + 419 - 83. Let k be f/30 - (-46)/345. What is k rounded to the nearest 10?
0
Let n = -0.63500437 - -0.639399. Let t = 0.0044 - n. What is t rounded to 7 decimal places? | {
"pile_set_name": "DM Mathematics"
} |
w**2 - 9*w. Suppose r(k) = 0. What is k?
-3, 1
Let w(y) be the third derivative of -25*y**6/42 + 10*y**5/7 - 10*y**4/7 + 16*y**3/21 + 4*y**2. Find t, given that w(t) = 0.
2/5
Let i(q) be the second derivative of -1/21*q**7 + 1/5*q**5 + 7*q + 0 + 1/9*q**4 - 1/3*q**3 - 1/3*q**2 - 1/45*q**6. Find t such that i(t) = 0.
-1, -1/3, 1
Let p(h) be the first derivative of -h**5/120 + h**4/12 - h**3/3 - 2*h**2 + 4. Let k(m) be the second derivative of p(m). Factor k(j).
-(j - 2)**2/2
Factor -3/5*i**3 + 1/5*i**5 + 0 - 1/5*i**4 + 2/5*i + 1/5*i**2.
i*(i - 2)*(i - 1)*(i + 1)**2/5
Factor 1 + 4*t**2 + 3 - 2*t**3 - 16 + 10*t + 0*t.
-2*(t - 3)*(t - 1)*(t + 2)
Suppose 2*t + 2 = 4*y - 2, 5*y = -3*t + 16. Factor -1/2*w**4 + 0 - 1/4*w**3 + 1/4*w + 1/2*w**y.
-w*(w - 1)*(w + 1)*(2*w + 1)/4
Suppose -s - 2*p - 13 = -6*s, 2*p - 8 = -2*s. Let t(h) = h - 1. Let l be t(1). Suppose l*y + s - 3*y**2 + 0 - 3*y + 3 = 0. Calculate y.
-2, 1
Find d such that d**4 + d**3 - 2*d**2 + 1 - 1/2*d**5 - 1/2*d = 0.
-1, 1, 2
Let a(s) be the second derivative of s**5/110 - 7*s**4/66 + s**3/3 - 5*s**2/11 - 35*s. Factor a(y).
2*(y - 5)*(y - 1)**2/11
Let p = -13 + 93/7. Factor 4/7*h**4 + 2/7*h**3 + 0*h**2 + p*h**5 + 0*h + 0.
2*h**3*(h + 1)**2/7
Let r(t) = -4*t**3 - 10*t**2 + 2*t + 10. Let u(p) = 4*p**3 + 11*p**2 - p - 11. Let b(x) = -3*r(x) - 2*u(x). Factor b(z).
4*(z - 1)*(z + 1)*(z + 2)
Let b be (-16)/(-64)*1*0/(-1). Factor 0 + b*m**2 + 0*m - m**4 - 1/2*m**5 - 1/2*m**3.
-m**3*(m + 1)**2/2
Let u = -9839/30 + 328. Let f(p) be the second derivative of -1/5*p**2 - u*p**3 + 0 + 1/20*p**4 + p. Solve f(h) = 0.
-2/3, 1
Let a(q) be the third derivative of q**7/30 + q**6/60 + 4*q**2. Find r, given that a(r) = 0.
-2/7, 0
Let p(j) be the first derivative of -14*j**3/9 - 5*j**2/3 + 4*j/3 - 6. Solve p(g) = 0.
-1, 2/7
Suppose 0*f + 3*z = -f - 10, -2*f + 5*z + 35 = 0. Suppose -9 - 11 = -f*p. Find a such that a**5 - 3*a**p + 3*a + 1 + a**2 + a**2 + 2*a**3 - 6*a = 0.
-1, 1
Suppose 2*l = -m - 10, m + 2*m - 10 = 2*l. Suppose k - 6*k = -10. Factor 2/5*y + 2/5*y**k - 2/5*y**3 + m - 2/5*y**4.
-2*y*(y - 1)*(y + 1)**2/5
Let t(k) = -4*k**2 - 5*k + 5. Let z(i) = 9*i**2 + 10*i - 9. Let g(n) = 5*t(n) + 3*z(n). Solve g(c) = 0.
-1, 2/7
Find b, given that -3/5 - 3/5*b**2 - 6/5*b = 0.
-1
Suppose 8 = d - 7. Suppose -4*v - q + 17 = v, 3*v = q + d. Find a, given that 0 - 1/4*a**v + 1/4*a**3 - 1/4*a + 1/4*a**2 = 0.
-1, 0, 1
Let n(b) be the second derivative of -b**4 - 4*b**3/3 - 9*b**2 - 4*b. Let d(a) = -3*a**2 + 4*a**2 - 3 - 2 + 6. Let o(m) = -10*d(m) - n(m). Factor o(i).
2*(i + 2)**2
Let j(d) be the third derivative of -1/150*d**5 + 2*d**2 + 0 + 0*d + 1/60*d**4 + 0*d**3. Solve j(a) = 0 for a.
0, 1
Let t = 10 - 5. Suppose 2*k + 9 = t*k. Factor -2/3*i**k + 1/3 + 2/3*i + 0*i**2 - 1/3*i**4.
-(i - 1)*(i + 1)**3/3
Let z(v) be the third derivative of -v**8/40320 + v**7/15120 + v**4/12 - 2*v**2. Let h(o) be the second derivative of z(o). Let h(q) = 0. Calculate q.
0, 1
Let f(n) be the second derivative of -3*n**5/140 - n**4/21 + n**3/42 + n**2/7 - 8*n. Factor f(u).
-(u + 1)**2*(3*u - 2)/7
Let f(r) be the first derivative of -r**3 - 15*r**2/2 - 12*r - 2. Factor f(m).
-3*(m + 1)*(m + 4)
Let z(v) be the first derivative of v**7/105 + v**6/20 + v**5/15 - 2*v**2 + 1. Let a(l) be the second derivative of z(l). Factor a(t).
2*t**2*(t + 1)*(t + 2)
Let b(g) = g + 6. Let q be b(-4). Let p(i) be the first derivative of -1/12*i**3 + 3/16*i**4 + 0*i**q + 0*i + 1/24*i**6 - 3/20*i**5 - 1. Factor p(h).
h**2*(h - 1)**3/4
Let o(g) be the first derivative of 2*g**3/9 - 7. What is y in o(y) = 0?
0
Let k(r) = 4*r**2 + r. Let h(x) = -x**2. Let o(f) = 5*h(f) + k(f). Let b be o(1). Find v such that 1/3*v + b*v**2 + 0 - 1/3*v**3 = 0.
-1, 0, 1
Let j(w) = w**2 - 10*w - 6. Let v be j(11). Let a(q) be the second derivative of 3/70*q**v + 4/7*q**2 + 4/7*q**3 + 11/42*q**4 - 2*q + 0. Solve a(i) = 0 for i.
-2, -1, -2/3
Let k(l) be the first derivative of 1/5*l**5 - 6 + 1/2*l**4 + 1/3*l**3 + 0*l**2 + 0*l. Find o such that k(o) = 0.
-1, 0
Suppose 4*v + 0*v - 16 = 2*s, 5*v - 26 = 4*s. Find g such that 18/13*g**5 + 0*g - 8/13*g**v + 0 - 42/13*g**4 + 32/13*g**3 = 0.
0, 2/3, 1
Let l be (84/(-15))/2*1. Let g = 33/10 + l. Solve -1/4*v**3 - 1/4*v + g*v**2 + 0 = 0.
0, 1
Let -4/5*z - 16/5*z**2 + 0 - 4*z**3 - 8/5*z**4 = 0. Calculate z.
-1, -1/2, 0
Suppose 14*j + 0*j = 0. Factor j + 1/3*u**2 - 2/3*u.
u*(u - 2)/3
Let l(k) be the third derivative of 2*k**7/35 + k**6/6 - 28*k**5/15 + 2*k**4/3 + 32*k**3/3 + k**2. What is o in l(o) = 0?
-4, -2/3, 1, 2
Suppose -2*n = -n. Suppose n = -d + 2. Determine w, given that -2*w**2 - w**2 + w + d*w**2 = 0.
0, 1
Let x(t) be the first derivative of -t**3/15 + t**2/10 + 2*t/5 - 10. Let x(y) = 0. Calculate y.
-1, 2
Let d(z) be the first derivative of 3/5*z**5 - 1 - 1/2*z**4 + z**2 + 0*z - z**3. Factor d(k).
k*(k - 1)*(k + 1)*(3*k - 2)
Let c(r) be the first derivative of 2*r**3/45 + r**2/15 - 4*r/15 + 20. Factor c(f).
2*(f - 1)*(f + 2)/15
Let t(v) = v**3 - 9*v**2 + 20*v - 8. Let b be t(6). Factor 3/4*w**b + 0*w**2 - 3/4*w**3 + 0 + 0*w.
3*w**3*(w - 1)/4
Suppose 2*r = z + 12, 3*r + 5*z - 10 = -5. Let k(c) be the second derivative of -1/60*c**r + 0 - 2*c + 0*c**2 + 1/12*c**4 - 1/9*c**3. Factor k(j).
-j*(j - 2)*(j - 1)/3
Factor 4*d - 16 + 16*d**2 - 52*d**3 + 95*d**3 - 47*d**3.
-4*(d - 4)*(d - 1)*(d + 1)
Let k(t) = 85*t**3 - 173*t**2 + 115*t - 5. Let g(q) = 21*q**3 - 43*q**2 + 29*q - 1. Let h(y) = 22*g(y) - 6*k(y). Suppose h(p) = 0. Calculate p.
1/4, 2/3, 1
Let i = 3 - 1. Let m be 90/(-24) - (-9 - -5). Factor -1/2*r**4 + m*r**5 + 0 + 0*r**i + 1/4*r**3 + 0*r.
r**3*(r - 1)**2/4
Let l(m) be the second derivative of -m**6/10 + 3*m**5/20 + m**4/2 - 31*m. Factor l(v).
-3*v**2*(v - 2)*(v + 1)
Let m be 8/480*65 + 9/(-12). Suppose 0*x**3 + 2/3*x**4 - 2/3*x**2 - 1/3*x + 0 + m*x**5 = 0. Calculate x.
-1, 0, 1
Let h(w) = -3*w**4 - 11*w**3 + 9*w**2. Let f(u) = u**4 + 5*u**3 - 4*u**2. Let k(n) = 15*f(n) + 6*h(n). Let k(q) = 0. Calculate q.
0, 1, 2
Determine i so that -9*i**4 - 9*i + 15*i**2 + 29*i**5 + 15*i**3 + 37*i**5 - 6 - 72*i**5 = 0.
-2, -1, -1/2, 1
Factor 20/7*u + 18/7*u**2 + 8/7 + 1/7*u**4 + u**3.
(u + 1)*(u + 2)**3/7
Let w(h) be the first derivative of h**8/3360 + h**7/560 + h**6/360 - h**3/3 + 3. Let j(c) be the third derivative of w(c). Factor j(z).
z**2*(z + 1)*(z + 2)/2
Let q(m) be the second derivative of m**4/12 - m**3 + 9*m**2/2 - 15*m. Let q(h) = 0. What is h?
3
Suppose f - 11 = -5*h, -8 = -2*h + 2*f - 6*f. Factor 5 - 1 + 4 + 3*y**2 + 9*y - h.
3*(y + 1)*(y + 2)
Find c, given that -4/3*c**2 - 4*c**3 + 8/3*c + 0 = 0.
-1, 0, 2/3
Let c be 0 + 5/(-3)*-3. What is u in u**3 + 0*u**2 - u - 1 + 0 - 4*u**2 + c*u**2 = 0?
-1, 1
Factor 0 + 1/2*o**2 + 3/2*o.
o*(o + 3)/2
Let d be (-7)/(-3) - (-9)/(-27). Find s such that 9*s**d - 11*s**2 + 4*s**4 + 2*s**2 + 4*s**5 = 0.
-1, 0
Let j(y) be the first derivative of -8*y**5/5 + 5*y**4 - 16*y**3/3 + 2*y**2 + 5. Factor j(i).
-4*i*(i - 1)**2*(2*i - 1)
Let y(z) be the second derivative of z**7/14 - 3*z**6/5 + 9*z**5/5 - 2*z**4 + z. Factor y(v).
3*v**2*(v - 2)**3
Let j be (3 + (-7)/2)*-42. Let z be 16/56 + 8/j. Factor -z*g**3 - 4/3*g**2 + 0 - 2/3*g.
-2*g*(g + 1)**2/3
Let y(r) = r**5 + 6*r**4 - r**3 - 3*r**2 + 3*r + 6. Let k(p) = 2*p**5 + 6*p**4 - 2*p**3 - 2*p**2 + 4*p + 8. Let a(o) = 3*k(o) - 4*y(o). Factor a(c).
2*c**2*(c - 3)*(c - 1)*(c + 1)
Suppose -3*k + i + 7 = 0, 2*k + 3*i = -2*i - 18. Let u be 2/((-4)/(-6))*k. Factor -4*n**3 - n**3 + 3*n - 3*n**3 + 5*n**u - 3*n**2 + 3.
-3*(n - 1)*(n + 1)**2
Let p(i) be the first derivative of 3*i**5/80 + i**4/4 + 5*i**3/8 + 3*i**2/4 - 7*i - 2. Let q(h) be the first derivative of p(h). Factor q(s).
3*(s + 1)**2*(s + 2)/4
Let k(p) be the first derivative of p**5/3 + 5*p**4/6 - 5*p**2/3 - 5*p/3 - 20. Let k(t) = 0. Calculate t.
-1, 1
Suppose 0*a**3 + a**3 - 3*a**3 - a + 3*a = 0. What is a?
-1, 0, 1
Let h(i) = i**2 - i. Let v be h(2). Let j**5 + 6*j - 2*j**5 - 4*j**2 + 6*j**4 + 0 - v - 4*j**3 - j**5 = 0. What is j?
-1, 1
Let -30*d + 38 - 68 + 105 + 3*d**2 = 0. What is d?
5
Let t be 1 + (-2 - -2 - -16). Let d(n) = -11*n**2 + 11*n. Let z(p) = -2*p**2 - 2*p**2 - 9*p**2 + 9*p**2 + 4*p. Let q(s) = t*z(s) - 6*d(s). Factor q(c).
-2*c*(c - 1)
Let m(q) be the first derivative of -q**5/30 - q**4/6 + | {
"pile_set_name": "DM Mathematics"
} |
Let u(k) = -k**3 - 2*k**2 - 5*k + 1. Determine -g(o) + 5*u(o).
-2*o**3 - 217*o - 2
Let h(o) = -5832*o - 157. Let m(l) = 2916*l + 94. What is 3*h(b) + 5*m(b)?
-2916*b - 1
Let x(o) = 96*o**3 - 16*o**2 - 25*o + 16. Let i(a) = 48*a**3 - 9*a**2 - 15*a + 8. Determine 5*i(m) - 3*x(m).
-48*m**3 + 3*m**2 - 8
Let z(x) = 317*x + 5. Let t(d) = -3*d. What is -3*t(h) - z(h)?
-308*h - 5
Let z(o) = -279*o - 81. Let u(t) = 11*t + 1. Let i(a) = -3*a. Let c(n) = 5*i(n) + 2*u(n). Determine -162*c(v) - 4*z(v).
-18*v
Let g(b) = -4. Let r(n) be the second derivative of n**3/6 - 3*n + 409. Determine -g(o) - 5*r(o).
-5*o + 4
Let u(c) = -236*c - 2. Let h(t) = -159*t - 1. Give -7*h(y) + 5*u(y).
-67*y - 3
Let w(a) = a**3 - a + 1. Let d(p) = 4*p**3 - 6*p + 5. Suppose 7*i - 6*i + 258 = 3*m, 343 = 4*m - i. Let s be 75/m + 10/85. What is s*d(j) - 5*w(j)?
-j**3 - j
Let k(r) = 2*r**2 + 16*r - 207. Let d(x) = 10*x**2 + 69*x - 924. Let b(l) = -2*d(l) + 9*k(l). Suppose -2*z = -7*z + 30. Let p(s) = -s + 1. Give z*p(u) + b(u).
-2*u**2 - 9
Let x(k) = -182*k - 28. Let q = -6032 + 6004. Let f(j) = -33*j - 5. Calculate q*f(a) + 5*x(a).
14*a
Let v(t) = -t + 2. Let x(m) = -2*m**2 - 11*m + 25. Let a(j) = 10*j - 58. Let y be a(6). Let u be x(y). Let h(b) = -2*b + 2. Determine u*h(l) + 4*v(l).
6*l - 2
Let q(c) = -244036*c**2 + 209*c - 3135. Let r(m) = 4693*m**2 - 4*m + 60. Calculate -4*q(n) - 209*r(n).
-4693*n**2
Let t(d) = 9*d**3 + 4*d**2 - 16*d - 157. Let l(h) = -15*h**3 - 7*h**2 + 29*h + 316. Determine 4*l(b) + 7*t(b).
3*b**3 + 4*b + 165
Let k(u) = 6*u. Let w be 53/(8745/352) - 4/30. Let b(c) be the third derivative of 0 + 4*c**w + 7/24*c**4 + 0*c + 0*c**3. Give -3*b(i) + 4*k(i).
3*i
Let c(g) = -2*g**2. Let q(m) = -254*m**2 + 2*m - 12. What is -3*c(f) - q(f)?
260*f**2 - 2*f + 12
Let u(r) = -5241*r**3 + 18*r**2 - 6*r - 2. Let l(w) = 5241*w**3 - 15*w**2 + 5*w + 2. What is -6*l(o) - 5*u(o)?
-5241*o**3 - 2
Let q(h) = 6*h**2 + 11*h + 14*h**3 - 9*h**3 + 14 + 5*h**2. Let t(j) = -1283*j**3 + 566*j**3 - 2*j - 3 - 2*j**2 + 716*j**3. Calculate 2*q(u) + 11*t(u).
-u**3 - 5
Let p(h) = 18 - 7*h + 19 - 41 - 2*h**2. Let y(j) = -6*j**2 - 22*j - 13. Suppose 4 = -v, -4*k - 4*v = 123 - 79. Give k*p(a) + 2*y(a).
2*a**2 + 5*a + 2
Let a(d) = 152*d - 5. Let k(p) = 154*p - 7. Determine 6*a(x) - 5*k(x).
142*x + 5
Let f(i) = 25783*i - 190. Let x(t) = 2149*t - 16. Calculate -8*f(g) + 95*x(g).
-2109*g
Let j(z) = 1. Let y(p) = p - 1. Let t(v) = -v + 40. Let g be t(0). Let w = g - 38. Let b(s) = s**3 - 4*s**2 - 4*s - 2. Let x be b(5). What is w*y(o) + x*j(o)?
2*o + 1
Suppose -13*t = -14*t - 20*t - 105. Let o(j) = 2*j**3 + 4*j**2 - 5*j + 18. Let y(u) = -u**2 + u - 1. Determine t*y(h) - o(h).
-2*h**3 + h**2 - 13
Let i = 290 + -290. Suppose i = -5*z - 23 - 27. Let x(n) = -n - 1. Let c(s) = 2*s + 4. Calculate z*x(m) - 3*c(m).
4*m - 2
Let y(a) = -3*a**3 + 2*a**2 - 6*a + 3. Let m(j) = -7*j**3 + 5*j**2 - 13*j + 6. Give -2*m(q) + 5*y(q).
-q**3 - 4*q + 3
Let l(f) = 20*f + 2. Let s(x) = -267*x + 106 + 15 + 737*x + 790*x - 61*x. Determine -242*l(r) + 4*s(r).
-44*r
Suppose 7*n = 24*n + 510. Let i be 5*(3 - (-102)/n). Let r(m) = 5*m**3 + 2*m**2 - 2*m - 2. Let x(g) = -14*g**3 - 7*g**2 + 7*g + 7. What is i*x(c) - 7*r(c)?
-7*c**3
Let x(u) = -155*u - 196*u - 145*u - 140*u + 639*u + u**3 + 3. Let z be 3/(1 - (0 + 2)). Let h(w) = w**3 + 2*w**3 - 8 - 6*w**3 - 9*w. What is z*h(y) - 8*x(y)?
y**3 + 3*y
Let j = 78 - 138. Let v = -63 - j. Let q(p) = -p**2 + 5*p - 3. Let r = 2 + 12. Let c(b) = -4*b**2 + 24*b - 14. Determine r*q(l) + v*c(l).
-2*l**2 - 2*l
Let k(v) = 266*v + 308. Let m(q) = 7*q + 8. Let i(g) = 2*k(g) - 77*m(g). Let b(w) be the first derivative of 35*w**2/2 + 4. Calculate 2*b(n) + 11*i(n).
-7*n
Let g(u) = 9*u**2 - 4*u + 2. Let c(a) = 3*a**2 + 2*a - 1. Determine 5*c(f) + 3*g(f).
42*f**2 - 2*f + 1
Let c(x) = -10*x**3 - 7*x**2 - 7*x - 1225. Let a(o) = 21*o**3 + 15*o**2 + 15*o + 2454. Give -7*a(k) - 15*c(k).
3*k**3 + 1197
Suppose -g - 4*g = -25. Let d(r) = r - 4. Let n(l) = 2*l - 9. Let f = -13494 - -13492. Give f*n(u) + g*d(u).
u - 2
Let q(w) = -5712*w + 213. Let u(t) = -22848*t + 817. Calculate -23*q(z) + 6*u(z).
-5712*z + 3
Suppose -2*p - 2 = 0, 2*c + 3*p - 5*p + 4 = 0. Let h(v) = -88 - 8*v + 2*v - 85 + 168. Let y(q) = -5*q - 4. What is c*y(b) + 2*h(b)?
3*b + 2
Let a(v) = -3*v + 1. Let r(q) = -7*q**2 + 284*q + 4. Let m(g) = -g**2 + 49*g. Let c(k) = -6*m(k) + r(k). Determine -14*a(p) + 4*c(p).
-4*p**2 + 2*p + 2
Let h(r) = 7*r**2 + 6*r - 7. Let p(a) = -6 - 3*a - 5*a**2 + 8*a - 8*a**2 + 19*a**2. Give -4*h(m) + 5*p(m).
2*m**2 + m - 2
Suppose 973 = 7*i - 630. Let f = 231 - i. Let q(w) = -w**2 + w - 1. Let t(h) = 8*h**2 - 7*h + 7. Give f*t(o) + 14*q(o).
2*o**2
Let z(b) = -23*b**3 + 6*b**2. Let t be (-68)/102 - (4 - 106/6). Let x(s) = -45*s**3 + 13*s**2. Determine t*z(l) - 6*x(l).
-29*l**3
Let h(c) = -c**2 + 4*c - 9. Let n be ((-4)/14 - (-4336)/(-112)) + -1. Let p = -43 - n. Let z(k) = k**2 - 2*k + 5. Calculate p*h(u) - 5*z(u).
-2*u**2 - 2*u + 2
Let n(j) = -417*j. Let c(v) = 2501*v + 2. Determine 2*c(a) + 13*n(a).
-419*a + 4
Let p(l) = -722*l**2 - 190*l - 950. Let v(q) = 2*q**2 - q - 5. Determine -2*p(d) + 380*v(d).
2204*d**2
Let k(b) be the first derivative of -5*b**2/2 + 4*b + 13. Let f = 36 + -29. Let j(p) = 9*p + 1 + 2 - 9 - 1. Calculate f*k(w) + 4*j(w).
w
Let s(a) = 6*a - 3. Let g(r) = -2258*r + 36. What is -5*g(w) - 60*s(w)?
10930*w
Let x(l) = 81*l + 52. Let p(b) = -54*b - 36. Give 7*p(i) + 5*x(i).
27*i + 8
Let k(r) = -5*r**2 - r. Let o(l) = -7*l**2 - 9*l. Let c(d) = -95*d**2 - 120*d. Let a(n) = -3*c(n) + 40*o(n). Calculate -4*a(p) - 5*k(p).
5*p**2 + 5*p
Let i(l) be the first derivative of -6*l**2 + 314236. Let q(o) be the second derivative of o**3/6 + o. Calculate -i(a) - 8*q(a).
4*a
Let t(n) = -n**2 + 3*n - 1. Let o be t(1). Let v(c) = -1. Let r(i) = -6*i - i - 60 - 63 - 43 + 173. What is o*r(h) + 6*v(h)?
-7*h + 1
Let v(q) = 18*q + q**2 - 3*q**2 - 9 - 21*q + 7. Let z(i) = -i**2 - 2*i - 1. Give 3*v(y) - 4*z(y).
-2*y**2 - y - 2
Let t(m) = -2*m**3 - 165*m**2 + 3*m - 6. Let g(n) = -2*n**3 - 165*n**2 + 3*n - 4. Determine 4*g(a) - 3*t(a).
-2*a**3 - 165*a**2 + 3*a + 2
Let v(m) = 2*m**2 - 3*m + 6. Let r(h) = -2592 + 1424 + 2*h**2 - 13*h + 6*h**2 + 1192. Determine 2*r(c) - 9*v(c).
-2*c**2 + c - 6
Let l(v) = -7*v**3. Let p(s) be the second derivative of 2*s**5/5 - s**3/6 - 599*s. What is -5*l(y) - 4*p(y)?
3*y**3 + 4*y
Let c(a) = -3*a - 2 + 3 - 4. Let s(b) = 5*b**2 - 350*b - 350. Let r be s(-1). Let f(v) = -v**3 + 5*v + 5. Calculate r*c(q) + 3*f(q).
-3*q**3
Let b(t) = 219*t**3 + 7*t**2 + 14*t + 153. Let v(p) = -71*p**3 - 2*p**2 - 4*p - 51. Give -2*b(q) - 7*v(q).
59*q**3 + 51
Let l(a) = -3*a + 13. Let t(s) = s - 7. Let h = -362 + 368. Determine h*l(n) + 11*t(n).
-7*n + 1
Let r(v) = 19*v - 4. Let m(g) = -89 - 161 - 75*g + 265. Determine -6*m(c) - 22*r(c).
32*c - 2
Let i(p) = -166*p**2 - 5*p - 851. Let l(t) = -72*t**2 - 2*t - 427. What is -2*i(s) + 5*l(s)?
-28*s**2 - 433
Let d(z) = 2*z**3 + z**2 + 2*z + 297. Let h(b) = 8*b**3 + 4*b**2 + 9*b + 1189. What is -9*d(u) + 2*h(u)?
-2*u**3 - u**2 - 295
Let g(k) = -3. Let w(y) = 4*y + 168. Determine -6*g(l) - w(l).
-4*l - 150
Let u = -64058 - -64064. Let j(r) = -r + 1. Let g(v) = -7*v + 5. Let w(y) = g(y) - 6*j(y). Let q(a) = 5*a + 5. Determine u*w(l) + q(l).
-l - 1
Let h(l) = -21*l**2 + 10*l - 5. Let k(q) = -5 - 897*q + 4*q**2 - 897*q + 1792*q + 4 + 2. Suppose 3*g + 17 = x, 2*x - 3*g - 28 = -0*x. Determine x*k(w) + 2*h(w).
2*w**2 - 2*w + 1
Let b(j) = -5*j**2 + 9 - 11*j + 3*j + 2*j + 11*j - 5. Let l(f) = f**2 - f - 1. Determine -b(n) - 4*l(n).
n**2 - n
Let d(x) = -x**2 - x. Let r = 178 + -171. Let k(i) = 7*i**2 + 2*i + 2 - i**3 - 2*i. Let c be k(r). Let h(n) = n**2 + n. What is c*h(u) + 3*d(u)?
-u**2 - u
Let y(g) = 779 + 15*g + 787 - 1559. Let b(z) = -8*z - 4. Let v = -9 - -6. Calculate v*y(t) - 5*b(t).
-5*t - 1
Let r(b) = -478*b + 16738. Let i be r(35). Let w(s) = -15*s + 11. Let m(p) = -40*p + 19. Let u(k) = -10*k + 5. Let f(l) = 2*m(l) - 9*u(l). Give i*f(j) + 5*w(j).
5*j - 1
Let x(l) = -783*l**2 + 3*l - 59. Let i(h) = 783*h**2 - 2*h + 39. What is 3*i(n) + 2*x(n)?
783*n**2 - 1
Let g(f) = -10*f - 198. Let k(b) = -27*b - 593. Give 8*g(u) - 3*k(u).
u + 195
Let n(d) = -d**2. Let x(h) be the third der | {
"pile_set_name": "DM Mathematics"
} |
What is v rounded to 2 dps?
0.31
Let y = -45250.3403 - -45247. What is y rounded to 1 decimal place?
-3.3
Let x = -0.74 - -119.74. Let k = 118.9978 - x. What is k rounded to three dps?
-0.002
Let y = -85995 - -51565. What is y rounded to the nearest one thousand?
-34000
Let z = 5.1073 + 36786.8927. Let r = z + -36794.2359. Let j = 2.22 + r. Round j to 3 dps.
-0.016
Let y = 23.1507264 - 55.15073. Let r = y - -32. What is r rounded to five dps?
0
Let w = 126.5 - 126.474698. What is w rounded to three decimal places?
0.025
Suppose -4*h - 88 - 96 = 0. Let u = h + 88. Suppose -110 = -o + i + u, -i - 3 = 0. Round o to the nearest ten.
150
Let h = -206 - -200.66. Let j = 5.339977 + h. What is j rounded to four decimal places?
0
Let k = 34 + -34. Suppose -f - 4*w - 6120008 = k, -4*f - 4*w + 24479992 = -8*f. What is f rounded to the nearest 100000?
-6100000
Suppose q + 5*m - m - 40 = 0, -5*m - 202 = -4*q. Suppose 46*u - q*u = 19600. Round u to the nearest 1000.
-10000
Let m = -217.9 + 47.9. Let t = m + 169.9997909. Round t to 5 decimal places.
-0.00021
Let o(b) = -3*b**2 - 26*b - 11. Let r be o(-9). Let m(w) = -2*w**3 - 23*w**2 + 14*w + 30. Let d be m(r). Round d to the nearest one hundred.
6600
Suppose 9604 = 18*d - 25388. Suppose 191*v = 197*v - d. What is v rounded to the nearest 10?
320
Let c = 1140121013 + -1140118204.995228. Let f = -2808 + c. What is f rounded to 3 decimal places?
0.005
Let k be 25300/(((-135)/(-70500))/9). What is k rounded to the nearest one million?
119000000
Suppose -2500*c + 2489*c - 304150 = 0. Round c to the nearest 10000.
-30000
Let a = -4327 + 3978.92. What is a rounded to the nearest ten?
-350
Suppose -19*b + 46 = 4*b. Suppose -w - 2*m = -6, -2*m + 10 = w + w. Suppose -3*q + 440 = -q + b*p, -220 = -q - w*p. Round q to the nearest one hundred.
200
Let c be -132 - (1 - 0) - 2. Let n be (-2)/9 + 15*(-20)/c. Let a be (((-244)/5)/1)/(n/50). What is a rounded to the nearest one hundred?
-1200
Let x be 3/4 - (-5 + (-1525)/4). Let h be (-1)/((-12)/x)*(2 - -2). Suppose -5*t - 25 = 0, 3*t = -a + t + h. Round a to the nearest 10.
140
Let w = -3301 + 3295.073. Let d = -6.48 - w. What is d rounded to one decimal place?
-0.6
Let w = 0.76873 - 0.768667363. What is w rounded to 7 dps?
0.0000626
Let z = -1832 - -1682.8. Let s = -140 - z. Round s to the nearest ten.
10
Let g = -36.3 - -272.3. Let p = g + -250.88. What is p rounded to the nearest integer?
-15
Suppose 2*p + 15*n = 10*n - 6, 5*n = 3*p - 41. Suppose p*x + 1120 = -0*x. What is x rounded to the nearest 10?
-160
Suppose 4*o - 474028 = -4*p + p, p - 2*o = 158026. Suppose -14856 + p = 12*c. Round c to the nearest 1000.
12000
Let w = -5652 + -337. Let g = w + 3949. What is g rounded to the nearest 100?
-2000
Let y be -2*((-431473)/14 + -3*(-12)/18). What is y rounded to the nearest 1000?
62000
Let r(k) = -2946*k**2 + 186*k - 148. Let p be r(-41). Round p to the nearest one million.
-5000000
Let l = -3057 + 3057.0056. What is l rounded to one dp?
0
Let d be (-4 + 5)/1 + 0 + 32. Let u = d + -30. Suppose 4*i - 3*q = 148, u*i = 2*q - 7*q + 140. What is i rounded to the nearest 100?
0
Let u(i) = 3*i - 92. Let g be u(32). Let d(l) = 166010*l - 40. Let q be d(g). Round q to the nearest one hundred thousand.
700000
Let j = -0.319 - 1.322. Let p = j + 1.62. What is p rounded to 2 decimal places?
-0.02
Let r = -3.3724 - -3.409509. What is r rounded to 4 dps?
0.0371
Let r = -277 + 99. Let k = 17618285.99923 - 17618108. Let c = r + k. What is c rounded to four decimal places?
-0.0008
Let n = -15.2 - -1.2. Let d = -11.2 - n. Let j = 2.8044 - d. Round j to three dps.
0.004
Let z(a) = 3083*a**2 + 148 + 9070*a**2 - 18*a - 10*a + 5166*a**2. Let k be z(18). Round k to the nearest one million.
6000000
Let h = 223 - 40. Let n = h - 182.927. Let u = n - 0.0729874. Round u to six decimal places.
0.000013
Let q = 6.5 - -37.5. Let m = -48.43 + q. Round m to the nearest integer.
-4
Let w be (3 + -6)/(1 - 2). Suppose 4*c - 14877 = -3*f, 5*f + 1471 - 26266 = 3*c. Suppose w*i - 2404959 + f = 0. What is i rounded to the nearest 1000000?
1000000
Let i = 105.003 + -105. Let m = i + 2.557. What is m rounded to zero dps?
3
Let o = 40572 + -40571.999881211. Round o to six dps.
0.000119
Let o = 39 - 44. Let k be (-1)/(o/(-30)*1*-2). Let i be -25*(-3 - 3)*490/k. What is i rounded to the nearest ten thousand?
20000
Let q = 4022 + -4018.034. Let w = -4 + q. What is w rounded to two dps?
-0.03
Let r = 1.193814 + -1.2125. Round r to four decimal places.
-0.0187
Let n = 23104.9969212 + -23105. What is n rounded to four decimal places?
-0.0031
Let x = 0.177 - -0.7328. What is x rounded to 2 dps?
0.91
Let t = 117.705 + -118. Let z = 0.39 + t. Let h = z - 0.0950328. What is h rounded to 6 decimal places?
-0.000033
Let v be ((-4)/(-9))/(-9*14/(-567)). Suppose -v*k + 4*f + 20060000 = 0, -9*k + 13*k = f + 40120000. What is k rounded to the nearest 1000000?
10000000
Let z = 0.284 - 175.284. Let s = -175.377 - z. Round s to one decimal place.
-0.4
Suppose 4*y = f + 108518, -f + 16*y - 108508 = 17*y. Round f to the nearest ten thousand.
-110000
Let d(l) = 128960*l**2 - 3*l + 75. Suppose -4*q = 4*i - 116, 3*i - 67 = -6*q + 8*q. Let t be d(i). Round t to the nearest one million.
81000000
Let z(a) = 176703*a**2 - 6*a + 14. Let n be z(5). Let j = -9077559 + n. What is j rounded to the nearest 1000000?
-5000000
Let k = -755 - -1348. Let p = -572 - k. Let u = 1165.000529 + p. What is u rounded to 4 decimal places?
0.0005
Let b = 12.8 + 3.9. Let l = b - 16.6871. What is l rounded to three decimal places?
0.013
Suppose -125*u - 496079 + 3946717 = -1129362. Round u to the nearest one thousand.
37000
Let n = 4938 - 4937.99973374. What is n rounded to five decimal places?
0.00027
Let z = 86 - 86.149. Let g = -0.1339 - z. Round g to three dps.
0.015
Let o = -365309.113 - -374440.8. Let a = 9128 - o. Round a to 1 dp.
-3.7
Let u(w) = -13724*w**2 + 5*w + 111. Let f = -413 + 390. Let a be u(f). What is a rounded to the nearest one hundred thousand?
-7300000
Let y = -119.6864 + -0.5936. Round y to 0 decimal places.
-120
Let a = 10505 - 5321.1. What is a rounded to the nearest 100?
5200
Let n = 10566232 - 10566231.3799691. Let j = -13431.62 - -13431. Let p = j + n. What is p rounded to six dps?
0.000031
Let o = 1285.682977 + -1286. Let v = -0.3153 - o. What is v rounded to four dps?
0.0017
Let g = 43137.5501 - 43133. What is g rounded to 0 decimal places?
5
Let k = 107 + -35. Let s = k + -71.44. Let x = -0.56084 + s. What is x rounded to four decimal places?
-0.0008
Let l = 0.0425 + 16.0075. Let i = l + -3.15. What is i rounded to the nearest ten?
10
Let v = 7285.8 - 7260.7996. Let n = -1.6 + -23.4. Let j = v + n. What is j rounded to four dps?
0.0004
Let s = -832 + 1278. Let a = 257 - s. Let k = a + 188.99803. Round k to four decimal places.
-0.002
Let r = -2 + 1. Let k = -297.4 + 299. Let h = r + k. What is h rounded to zero decimal places?
1
Let l = 244 - -359.5. What is l rounded to the nearest ten?
600
Let q = -28082 + 28089.9008. What is q rounded to the nearest integer?
8
Let w(c) = -41 + 10 - 8 + 67*c - 18. Let v be w(9). Round v to the nearest 10.
550
Let f(c) = 533*c**3 - 4*c**2 + 3*c - 9. Let d be f(8). Let o = d + 714935. Let w = 1497590 - o. What is w rounded to the nearest one hundred thousand?
500000
Let s be -2140*9/((-135)/(-24762)). Let b = 1922713 + s. Let y be (3 - 0 - (4 + 0)) + b. What is y rounded to the nearest one hundred thousand?
-1600000
Let z(u) = 8122*u**2 + 6*u + 4. Let n be z(-11). What is n rounded to the nearest 100000?
1000000
Let a = -343.551 - 0.449. Let z = a + 342.22. What is z rounded to the nearest integer?
-2
Let z = 379.9 + -42.9. Let t = z + -344.68. What is t rounded to 0 dps?
-8
Let u = 36880 + -36715.9713. Let y = 164 - u. What is y rounded to three decimal places?
-0.029
Let h = -506 + 972.4. Let u = h + -421. Round u to the nearest ten.
50
Let r = -1406.001185 + 1406. What is r rounded to four decimal places?
-0.0012
Let u = 203 - 350. Let n = u + 147.000208. What is n rounded to 5 decimal places?
0.00021
Let h = 2062.95739 + -0.35739. What is h rounded to the nearest 1000?
2000
Suppose 3*i - 32 = 3*o + 7*i, 0 = 4*o - 5*i + 53. Let n be 410*((-4)/(-22) + o/(-55)). Suppose -30*z + n = -32*z. Wh | {
"pile_set_name": "DM Mathematics"
} |
- x. Calculate h(n).
-7
Suppose -2*d - d = -3483. Let y(o) = -3 + d*o - 1162*o + 3 - 1. Determine y(-5).
4
Let g(r) = r**2 - 23*r + 26. Let h(v) = v**3 + 107*v**2 + 206*v - 398. Let s be h(-105). Calculate g(s).
4
Suppose -20*k + 34 = -3*k. Suppose n = -3*y - 6, 0 = 2*n - 5*n - 4*y + 2. Let r(l) = -13*l**k + 122*l - 120*l - 1 - n*l**2. Calculate r(1).
-18
Let g(j) = j - 1. Suppose -8 = 4*d + v, -d + 8 = -5*d - 5*v. Let u(x) = -9*x. Let q(t) = d*g(t) + u(t). Give q(1).
-9
Let r(f) = -2*f - 1. Suppose 5 = -2*g + 17. Suppose -10 = -g*p + 8. Give r(p).
-7
Let l = 3203 - 3196. Let k(g) = g**3 - 8*g**2 + 6*g - 12. Determine k(l).
-19
Suppose 2*f - 9 - 3 = 0. Let g(c) = 0*c - 3*c - f*c + 4*c. Let y be -1*((-171)/133 - 2/(-7)). What is g(y)?
-5
Let c(o) = -4*o**2 - 26*o + 16. Let m be c(-7). Let v be (m + 22)*2/(-12)*2. Let p(f) = f + 13. Calculate p(v).
5
Let l(s) = s + 6. Let f be l(-5). Let m(o) = -6*o + f - o**2 - 2 + 3*o. Suppose -20*i = -55*i - 35. What is m(i)?
1
Let j(v) = 11*v + 80. Let c(n) = -3*n**2 + 367*n + 993. Let a be c(125). Calculate j(a).
3
Let b = -20 + 23. Suppose -4*w + 0*j + 19 = -j, -b*w + 8 = -2*j. Let p(h) = -h**3 + 0*h - 3*h - 4*h - w*h**2 - 4. What is p(-4)?
-8
Suppose 0*r + 4*o + 3 = -r, -r + 4*o + 29 = 0. Let m(s) = 9 - 6 - 7 - r - s. Calculate m(-6).
-11
Let d(y) = y. Let i(n) = 11*n. Let r(p) = 6*d(p) - i(p). Let j(g) = g**2 - 52*g - 2806. Let z be j(-33). What is r(z)?
5
Let l be ((-90)/(-40))/(1/(-12)). Let d be 6/4*(-684)/l. Let b(g) = -46 + 5*g + 2*g**3 - g**3 + 7*g**2 + d. What is b(-6)?
-2
Let x = -28 - -41. Let h(z) = 2*z - 23. Let l be h(x). Let n(k) = -k - 4*k**2 + 3 + 36*k**3 + 37*k**l - 74*k**3. Calculate n(-3).
-3
Let w(o) = -174*o + 697. Let m be w(4). Let g(h) be the second derivative of -7*h**4/6 - h**3/6 + 4*h. Calculate g(m).
-15
Let p(v) be the second derivative of 17*v**3/6 + 137*v**2/2 - 5412*v. Give p(-8).
1
Let y(q) = -25*q + 28. Let b be 735/1225 - 4/30*-3. What is y(b)?
3
Suppose 4*l + 2*a - 12 = 0, 0 = -3*l - 0*a - 5*a + 16. Let y(o) = -o**2 - 8*o + 13. What is y(l)?
-7
Let r = -186595 - -186605. Let g(a) be the second derivative of -a**3/2 + 13*a**2/2 - a. Calculate g(r).
-17
Let l(r) = -8 - 2*r + 2*r + 2 - r. Suppose 3*o + 4*t - 6*t + 1775 = 0, 5*o = 2*t - 2965. Let k = -601 - o. What is l(k)?
0
Let s(w) = w**3 + 4*w**2 + 12*w + 19. Suppose -122 = 303*k - 242*k. What is s(k)?
3
Let i = 10 - -45. Suppose -8*t - 1 = i. Let s(k) = -1 + 6*k + k**2 - 6 - 1. Calculate s(t).
-1
Let i(r) = 146*r + 2. Let w(q) = 448*q + 7. Let u(p) = 3*i(p) - w(p). Let o be 3*2 - (5 + -3). Suppose -t - 3*t = o. What is u(t)?
9
Let s(c) = 4*c**2 + 43*c - 20. Let o(g) = -4*g**2 - 42*g + 18. Let j(b) = 4*o(b) + 3*s(b). Let u be j(-10). Let x(a) = 2*a - 2. What is x(u)?
2
Let x = 9494 - 9500. Let h(r) = r + 4. What is h(x)?
-2
Suppose -5*f - 3*a + 2*a - 21 = 0, 0 = -3*f + 3*a - 27. Let m(q) be the second derivative of 2*q**3/3 + 10*q**2 + 161*q. Give m(f).
0
Suppose 195 = 318*h + 306*h - 637*h. Let b(z) = -2*z**3 - 31*z**2 - 19*z - 51. Give b(h).
9
Let m be 20/(-8 + -4 + 14). Let g(x) be the first derivative of 1/2*x**2 - 1/3*x**3 + m + x. Determine g(2).
-1
Let c(h) = 3*h**3 + h**2 - h. Let m be c(1). Suppose 0 = -y + 6*y - q + 32, 4*y + 30 = m*q. Let d(k) = -k**3 - 6*k**2 - k - 5. What is d(y)?
1
Let m(b) be the third derivative of -b**5/60 + 7*b**4/24 + 4*b**3/3 - 6*b**2 - 25*b - 9. Suppose -3 = 2*i - 19. Calculate m(i).
0
Suppose -2*w + v - 1 = -2*v, -w + v - 1 = 0. Let n(f) = -f**3 - f**2 + f - 1. Let s(c) = c**3 - 2*c**2 - 5*c - 1. Let z(g) = w*n(g) - s(g). Determine z(-4).
-9
Let f(t) be the first derivative of t**3/3 - 5*t**2 - 28*t + 1028. Give f(9).
-37
Suppose 0 = -87*r + 77*r + 30. Let k(f) = -4*f**2 + 5*f**2 + 0*f + 13 - 2*f**2 - r*f - 2. Calculate k(-5).
1
Let i(s) = 3*s - 10. Let u(k) = -19*k + 19. Let j(y) = -6*i(y) - u(y). Calculate j(-10).
31
Let u(m) = m**2 + 18*m - 23. Let f = 223 - 233. Let c be -38*(15/50)/((-6)/f). Calculate u(c).
-4
Let o(n) = -2*n - 1. Let j be -9*1 - 112/(-14). Let y(v) = v + 2. Let s(t) = j*y(t) - 4*o(t). Calculate s(-5).
-33
Let i be (14 - 15)*((-3)/12)/((-2)/48). Suppose 13 = -f + 4*c, -4*f - 2*c + 1 = -37. Let m(n) = -f*n + n - 3*n - 8 - n**2. Determine m(i).
10
Let w(r) = -8*r**2 - 6*r**2 + 23*r**2 - 5*r**2 - r**2 - 15 - 10*r. Give w(8).
97
Let l(j) = -2*j + 1. Let k be 3/1*(-2)/(-2). Suppose -k*m + 2*o + 33 = -91, -89 = -3*m - 5*o. Suppose 6 = -m*p + 40*p. What is l(p)?
-5
Suppose 10*r - 139 + 89 = 0. Suppose 3*o - 21 = -r*x + 2*x, 0 = -x + 5*o - 11. Let j(p) = -2*p**2 + 8*p + 2. Determine j(x).
2
Let c(t) = -10*t**2 - 43*t - 13. Let s(a) = -3*a**2 - 14*a - 4. Let w(k) = -2*c(k) + 7*s(k). Suppose 4*o + 76 = 28. Determine w(o).
-2
Let t(b) = -2*b**3 - 5*b**2 - 31*b + 6. Let y(v) = -5*v**3 - 14*v**2 - 98*v + 20. Let k(f) = 8*t(f) - 3*y(f). Give k(-6).
0
Suppose 4 = 5*w + 3*o, 0 = -4*w + o + 11 - 1. Let f(c) = 3 - 221*c + 5*c**w + 0*c**3 + 223*c - 6 - 2*c**3. Give f(4).
-43
Suppose -3*v - 1902 = -4*a, 3*a = -33*v + 37*v + 2529. Let l = v + 632. Let h(f) = -16*f. Give h(l).
-32
Let a(f) be the third derivative of f**6/120 - f**5/20 - f**4/12 - 2*f**3/3 - f**2. Suppose -621*y + 1386 = -1098. Give a(y).
4
Let a(i) = i**3 - 6*i**2 + 28*i - 23. Let s(m) = -2*m**3 + 12*m**2 - 59*m + 47. Let j(h) = -15*a(h) - 7*s(h). Give j(7).
-82
Let q(g) = 11*g - 128. Let k be q(12). Suppose -k*c + 2 = 2*u, -2*c + 3*u = 45 - 66. Let z(x) = x**2 + x - 4. Calculate z(c).
8
Let d(z) = z**2 + 17*z + 33. Suppose -2238 = -33*a - 2700. Determine d(a).
-9
Let w(o) = o**2 - o - 1. Let a(y) = y + 4. Let n be a(2). Let v(p) = -2*p**2 + 14*p - 8. Let j be v(n). Calculate w(j).
11
Let u(l) = -117*l**2 + 116*l - 670. Let j(x) = 19*x**2 - 19*x + 109. Let d(r) = 37*j(r) + 6*u(r). Suppose -3*y = -7*y + 2*c + 14, -y + 9 = 5*c. Give d(y).
1
Let v(i) = 3*i**3 + 9*i**2 + 16*i + 9. Let z(l) = 7*l**3 + 18*l**2 + 32*l + 17. Let q(a) = 5*v(a) - 2*z(a). Give q(-7).
-3
Let h(v) = 4*v + 11. Suppose -4*f - 6*a + 2*a = 76, 3*f - 7*a = -7. Calculate h(f).
-45
Let m(r) = -r**2 + 11*r + 8. Suppose 2*n = 4 - 0, 4*d = -5*n + 2. Let y(g) = 3 - 5 + g**2 - 9*g - 3 - 2. Let x(h) = d*m(h) - 3*y(h). What is x(6)?
-1
Let d = -908 - -910. Let y(c) = 1355 + 4*c**2 - 15*c**d + c**3 - 1341 - 27*c. Calculate y(13).
1
Suppose 20*t = z + 3*z + 144, 0 = 3*z + 2*t - 11. Let v(k) = 26*k - 16. Let c(d) = 9*d - 5. Let l(w) = 16*c(w) - 5*v(w). Calculate l(z).
-14
Let q = 8 + -5. Let z(o) = -o**3 - q + 6*o - 14*o + 4 - 19 + 13 - 10*o**2. Calculate z(-9).
-14
Let l(u) = 2*u**2 - 33*u - 29. Let h(t) = -5*t**2 + 67*t + 58. Let a(r) = 4*h(r) + 9*l(r). Determine a(-13).
10
Let u(d) be the first derivative of d**7/120 - d**6/360 - d**5/120 - d**4/24 - 35*d**3/3 - d**2/2 - 32. Let f(p) be the third derivative of u(p). What is f(-1)?
-8
Suppose -2*r + 3 - 5 = -4*f, -12 = -4*f + 4*r. Let c(y) = -4*y - 11. Give c(f).
-3
Suppose 0 = w + v - 6, -2*w + 20 = 5*v - v. Let j(g) = 8*g + w*g**2 + 4 - g + g - 5*g. Give j(-2).
6
Suppose 63*i = -2022 + 1959. Let l(m) be the first derivative of 13*m**5/120 - m**4/24 - m**3/3 + 1. Let r(s) be the third derivative of l(s). What is r(i)?
-14
Suppose 519*w + 168 = 518*w. Let d = -171 - w. Let m(o) = 2*o**3 + 4*o**2 - 2*o - 4. What is m(d)?
-16
Let r(h) = -2*h - 4. Let i(y) = 357*y - 1419. Let b be i(4). Determine r(b).
-22
Let p(u) = -35*u. Let a(z) = -9*z. Let q(c) = 15*a(c) - 4*p(c). Let t(g) = -g**3 - 6*g**2 - 4*g - 20. Let d be t(-6). Let l be 2*(14/d - 4). Calculate q(l).
-5
Let l be (-11830)/17 - (40/(-68))/(-5). Let p be l/(-88) - ((-9)/(-33))/(-3). Let v(q) = -q**2 + 5*q - 1. Determine v(p).
-25
Let p(z) = z**2 - 10*z - 4. Let k(i) = -i**3 - 16*i**2 + 8. Let t = 159 + -175. Let c be k(t). Determine p(c).
-20
Let x be -5*6/(6 - 12). Suppose 5*d + 0*d = 4*l + x, 0 = -l + 2*d + 1. Let i(j) = -j**2 - 2. Calculate i(l).
-27
Let h(i) = i**3 - 4*i**2 - 2*i + 7. Suppose 0*u = 4*u - 0*u. Suppose -5*l + 2 = 3*o - 17, l + 2*o - 1 = u. What is h(l)?
22
Let d(h) = -h**3 - h + 1. Let x(v) = 5*v**3 - 6*v**2 + v - 15. Let l(b) = 6*d(b) + x(b). Let i(f) = -7*f**2 - f. Let y be i(-1). What is l(y)?
21
Let a(h) = -h**3 - 28*h**2 - 3*h - 78. Let z be (-2)/(-1)*(-101 + 87). Let p be a(z). Let o(k) = k**3 - 7*k**2 + 3*k - 7. Calculate o | {
"pile_set_name": "DM Mathematics"
} |
Give prob of picking 2 f.
3/28
Two letters picked without replacement from ooxzezwoo. Give prob of picking 1 o and 1 x.
1/9
Calculate prob of picking 3 l when three letters picked without replacement from ttttlettlltltt.
1/91
Two letters picked without replacement from ntnunnzququpn. Give prob of picking 1 z and 1 p.
1/78
Two letters picked without replacement from {q: 1, b: 2, j: 1, p: 2, t: 1, h: 1}. Give prob of picking 1 b and 1 j.
1/14
Calculate prob of picking 2 z when two letters picked without replacement from {f: 6, z: 2}.
1/28
Calculate prob of picking 2 i when two letters picked without replacement from iiggig.
1/5
Three letters picked without replacement from ymymmynzyynqqnq. What is prob of picking 2 y and 1 n?
6/91
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {o: 1, t: 1, w: 10, g: 1, y: 1}.
10/91
Four letters picked without replacement from {u: 9, o: 9}. Give prob of picking 1 o and 3 u.
21/85
What is prob of picking 2 c and 1 q when three letters picked without replacement from qqqcqqqqcqq?
3/55
Calculate prob of picking 2 f when two letters picked without replacement from fvfvfvvfvvfvvvffffvf.
9/38
Three letters picked without replacement from voovaa. What is prob of picking 1 a and 2 o?
1/10
Calculate prob of picking 1 l, 1 n, and 1 d when three letters picked without replacement from {d: 5, n: 3, m: 3, i: 3, l: 1}.
3/91
Three letters picked without replacement from {w: 1, e: 2, b: 1, x: 2}. What is prob of picking 1 x, 1 b, and 1 w?
1/10
Three letters picked without replacement from {r: 1, v: 12}. What is prob of picking 3 v?
10/13
Calculate prob of picking 1 m, 2 t, and 1 a when four letters picked without replacement from tmtttatttmmtttt.
11/91
Calculate prob of picking 1 w, 2 o, and 1 m when four letters picked without replacement from {o: 11, m: 1, w: 7}.
385/3876
What is prob of picking 2 p and 1 m when three letters picked without replacement from ppmmmmppmp?
5/12
Calculate prob of picking 1 r and 3 g when four letters picked without replacement from rgrgrggrrrggggrg.
21/65
Three letters picked without replacement from eeeieepeeeieep. What is prob of picking 2 i and 1 e?
5/182
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from rgruqutit.
1/9
Two letters picked without replacement from snk. Give prob of picking 1 k and 1 s.
1/3
What is prob of picking 3 d when three letters picked without replacement from {h: 3, d: 4, n: 1}?
1/14
What is prob of picking 1 g and 1 t when two letters picked without replacement from ttttggtgygg?
5/11
Calculate prob of picking 2 k, 1 w, and 1 d when four letters picked without replacement from wsdssixksskdxssdssk.
3/1292
Four letters picked without replacement from {c: 2, l: 8, w: 2, i: 1, k: 1}. Give prob of picking 1 i, 1 k, 1 w, and 1 c.
4/1001
Calculate prob of picking 1 b and 3 v when four letters picked without replacement from vzbvvbpppbpbb.
1/143
Calculate prob of picking 2 y and 2 f when four letters picked without replacement from {f: 7, y: 2}.
1/6
Calculate prob of picking 1 z and 2 h when three letters picked without replacement from zzzzhh.
1/5
Calculate prob of picking 2 t, 1 v, and 1 q when four letters picked without replacement from ttqqnqnqqqqddtvvq.
12/595
Two letters picked without replacement from kkkkkkkkrekekkrker. Give prob of picking 2 e.
1/51
Calculate prob of picking 2 f when two letters picked without replacement from yyfffffffyffff.
55/91
Calculate prob of picking 1 i and 2 u when three letters picked without replacement from iuuiiviiviiivviiiiiv.
13/1140
What is prob of picking 1 z and 1 u when two letters picked without replacement from onrzmuz?
2/21
Two letters picked without replacement from ggggggg. Give prob of picking 2 g.
1
Four letters picked without replacement from {v: 3, z: 1, s: 5, w: 3}. What is prob of picking 2 w and 2 v?
1/55
What is prob of picking 2 f when two letters picked without replacement from owwwwofoowwwofoowwo?
1/171
Two letters picked without replacement from {l: 1, d: 8, c: 6, v: 3}. Give prob of picking 1 l and 1 d.
8/153
Calculate prob of picking 1 x, 1 i, and 1 b when three letters picked without replacement from {h: 2, i: 1, d: 9, x: 3, o: 3, b: 2}.
1/190
Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 5, l: 4, r: 3}.
10/33
Two letters picked without replacement from xxxuuuxxxxuu. Give prob of picking 1 x and 1 u.
35/66
Calculate prob of picking 1 e and 2 p when three letters picked without replacement from {p: 2, n: 3, c: 3, h: 1, u: 3, e: 1}.
1/286
What is prob of picking 2 x when two letters picked without replacement from xlxlxlxlllxl?
5/33
Two letters picked without replacement from gledegdeleg. What is prob of picking 2 e?
6/55
Two letters picked without replacement from kqixhqhqiimk. Give prob of picking 2 q.
1/22
What is prob of picking 1 j and 1 o when two letters picked without replacement from {m: 4, g: 1, j: 4, o: 1, r: 1, x: 1}?
2/33
Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 3, p: 1, x: 1}.
3/10
Two letters picked without replacement from {j: 9, y: 3}. Give prob of picking 1 y and 1 j.
9/22
Two letters picked without replacement from {i: 5, u: 3, n: 1, q: 4, c: 5}. What is prob of picking 1 u and 1 c?
5/51
What is prob of picking 2 u and 2 o when four letters picked without replacement from uoouuuuuuuu?
6/55
What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmmmmmmhm?
13/15
What is prob of picking 1 d and 3 x when four letters picked without replacement from xxxdxxxdx?
5/9
What is prob of picking 2 a when two letters picked without replacement from aajajaaa?
15/28
Calculate prob of picking 2 n when two letters picked without replacement from nnn.
1
Two letters picked without replacement from {y: 6, g: 2, p: 3, n: 1}. What is prob of picking 2 p?
1/22
Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {r: 1, l: 3, q: 5, v: 1, e: 1}.
3/11
What is prob of picking 1 y and 2 p when three letters picked without replacement from apaapapy?
3/56
Two letters picked without replacement from {s: 4, k: 14}. Give prob of picking 2 s.
2/51
What is prob of picking 3 f when three letters picked without replacement from {f: 3, o: 1, a: 1, u: 1, r: 1}?
1/35
Two letters picked without replacement from {v: 4, c: 2, z: 1, j: 1, h: 1}. Give prob of picking 1 h and 1 j.
1/36
Two letters picked without replacement from {k: 7, g: 4}. What is prob of picking 2 k?
21/55
What is prob of picking 1 j and 2 r when three letters picked without replacement from {r: 3, j: 2}?
3/5
Four letters picked without replacement from {m: 4}. What is prob of picking 4 m?
1
Three letters picked without replacement from {x: 2, p: 3, h: 4}. What is prob of picking 1 p and 2 h?
3/14
What is prob of picking 2 q, 1 g, and 1 t when four letters picked without replacement from ggfqtq?
2/15
Two letters picked without replacement from {i: 12, m: 7}. Give prob of picking 1 i and 1 m.
28/57
Calculate prob of picking 2 j when two letters picked without replacement from {c: 1, f: 3, b: 5, n: 3, y: 1, j: 4}.
3/68
Three letters picked without replacement from {r: 13, l: 5}. Give prob of picking 1 r and 2 l.
65/408
Two letters picked without replacement from ytjxz. What is prob of picking 1 y and 1 x?
1/10
What is prob of picking 1 q, 1 r, 1 l, and 1 g when four letters picked without replacement from grdrgqrgqzlql?
54/715
Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {s: 1, u: 1, n: 1, g: 2, x: 2, e: 2}.
1/18
Calculate prob of picking 2 p and 1 l when three letters picked without replacement from plvmlplzlpzlzmmmpmpl.
1/19
What is prob of picking 1 z and 3 a when four letters picked without replacement from {z: 7, t: 2, a: 4}?
28/715
What is prob of picking 1 c and 1 p when two letters picked without replacement from {h: 1, c: 2, e: 1, s: 1, p: 1, b: 1}?
2/21
Three letters picked without replacement from zmmzmzojzzzzomom. What is prob of picking 2 o and 1 z?
3/80
Calculate prob of picking 1 x, 1 y, 1 e, and 1 v when four letters picked without replacement from {u: 1, v: 1, x: 1, y: 1, e: 1}.
1/5
T | {
"pile_set_name": "DM Mathematics"
} |
160
Calculate the smallest common multiple of 2359 and 147.
49539
What is the lowest common multiple of 396 and 2?
396
Find the common denominator of -95/16 and -103/253782.
2030256
Calculate the common denominator of 29/34538 and 89/20.
345380
Find the common denominator of -59/352680 and 101/12.
352680
Calculate the common denominator of 151/684 and -113/38760.
116280
Find the common denominator of 149/5016 and -21/364496.
1093488
What is the lowest common multiple of 11 and 3095?
34045
What is the smallest common multiple of 6365 and 209?
70015
Find the common denominator of -119/600 and 97/8400.
8400
What is the common denominator of 81/392470 and -43/117?
3532230
What is the common denominator of -29/1482 and 127/46566?
884754
Calculate the common denominator of -23/7 and -29/37577.
263039
Calculate the common denominator of -41/108 and 88/6795.
81540
Calculate the smallest common multiple of 4 and 2675.
10700
What is the smallest common multiple of 110 and 4081?
40810
Calculate the common denominator of 11/107439 and -37/9.
322317
What is the lowest common multiple of 191 and 230346?
230346
Calculate the lowest common multiple of 18699 and 11382.
261786
Calculate the common denominator of -13/4830 and 47/66010.
198030
Find the common denominator of 50/653 and -49/653.
653
What is the common denominator of -23/231 and -69/156002?
468006
What is the common denominator of -11/374904 and -181/1249680?
3749040
Calculate the least common multiple of 1258906 and 88.
5035624
What is the smallest common multiple of 56832 and 4096?
454656
Calculate the lowest common multiple of 4730 and 7568.
37840
Calculate the least common multiple of 91312 and 449536.
5843968
What is the common denominator of -39/1725125 and 167/30?
10350750
Find the common denominator of -6/5 and 34/15979.
79895
Find the common denominator of -23/369945 and 97/42.
5179230
Find the common denominator of -21/559 and -119/104490.
1358370
Calculate the least common multiple of 40 and 810204.
8102040
What is the lowest common multiple of 9047 and 7?
63329
What is the least common multiple of 12 and 40262?
241572
Calculate the common denominator of 69/32 and 55/367304.
1469216
Calculate the lowest common multiple of 33489 and 61.
33489
Calculate the common denominator of -27/20 and 131/4290.
8580
Calculate the smallest common multiple of 46 and 3844.
88412
What is the smallest common multiple of 1040 and 3920?
50960
What is the common denominator of 41/1130 and 69/24634?
123170
Calculate the lowest common multiple of 2304 and 68352.
205056
Calculate the least common multiple of 260 and 12558.
125580
What is the smallest common multiple of 122996 and 10778?
2090932
What is the lowest common multiple of 137292 and 15?
686460
Find the common denominator of -185/8736 and 81/22.
96096
Calculate the lowest common multiple of 25 and 4149.
103725
Find the common denominator of -67/152 and 6/779.
6232
What is the least common multiple of 3894 and 18408?
202488
What is the common denominator of 81/22802 and 83/18?
205218
Find the common denominator of 63/8 and 149/20406.
81624
Find the common denominator of -77/14302 and -7/848.
6064048
Calculate the least common multiple of 56612 and 38.
1075628
What is the common denominator of -17/132 and -29/18516?
203676
Calculate the least common multiple of 483582 and 16378.
9188058
Calculate the common denominator of 69/19580 and -71/13706.
137060
Find the common denominator of 61/15526 and 27/22180.
155260
What is the common denominator of 61/600460 and -37/4?
600460
What is the smallest common multiple of 288 and 3282?
157536
What is the smallest common multiple of 330 and 68442?
342210
What is the lowest common multiple of 61 and 99269?
6055409
What is the least common multiple of 56 and 7504?
7504
Calculate the lowest common multiple of 175 and 115.
4025
What is the smallest common multiple of 2420 and 660?
7260
What is the common denominator of 41/1772 and 115/10632?
10632
What is the lowest common multiple of 4774 and 18662?
205282
What is the lowest common multiple of 288 and 247671?
7925472
What is the common denominator of -45/578 and -27/2678?
773942
What is the common denominator of 67/145607 and 109/66?
873642
Calculate the lowest common multiple of 8895 and 234.
693810
What is the lowest common multiple of 18438 and 4829?
202818
What is the smallest common multiple of 13794 and 9196?
27588
Find the common denominator of -89/132 and 43/94158.
2071476
What is the lowest common multiple of 6924 and 14?
48468
What is the common denominator of 44/29263 and 29/19?
555997
Calculate the common denominator of -67/1330 and -73/33250.
33250
What is the common denominator of -58/495 and 39/67?
33165
Find the common denominator of -38/2667 and 11/246507.
1725549
What is the common denominator of 109/4410 and -89/5580?
273420
What is the smallest common multiple of 22437 and 11?
246807
Calculate the lowest common multiple of 530 and 2410.
127730
Calculate the smallest common multiple of 460 and 300.
6900
What is the common denominator of 21/3608 and 55/112?
50512
Calculate the least common multiple of 36 and 120780.
120780
Find the common denominator of -19/1888110 and -139/23310.
1888110
Calculate the common denominator of -79/28188 and 56/12069.
4200012
Calculate the lowest common multiple of 36 and 22340.
201060
Calculate the common denominator of 91/192 and 38/729.
46656
What is the common denominator of 24/254939 and 23/8?
2039512
Calculate the lowest common multiple of 1710 and 1368.
6840
Find the common denominator of -101/9020 and -97/7216.
36080
Calculate the smallest common multiple of 483 and 13.
6279
What is the least common multiple of 6525 and 59450?
535050
What is the common denominator of 137/8268 and -43/378261?
1513044
Calculate the smallest common multiple of 67 and 1921.
128707
What is the lowest common multiple of 108 and 900?
2700
Find the common denominator of 103/152508 and 39/749831.
8997972
What is the least common multiple of 52650 and 16848?
421200
What is the least common multiple of 1350 and 8370?
41850
What is the lowest common multiple of 4624 and 15028?
60112
Calculate the smallest common multiple of 9557 and 171.
86013
Calculate the least common multiple of 66479 and 75976.
531832
What is the smallest common multiple of 177536 and 13870?
887680
What is the least common multiple of 33 and 7416?
81576
Find the common denominator of -111/2570 and 69/20.
5140
What is the smallest common multiple of 12023 and 1093?
12023
What is the common denominator of 83/42820 and -49/6423?
128460
What is the common denominator of -47/16626 and -48/13855?
83130
What is the common denominator of -35/1149 and -83/12639?
12639
Calculate the common denominator of 30/17653 and 23/1390.
176530
What is the smallest common multiple of 31244 and 2044?
218708
What is the common denominator of 39/6814 and 89/26?
88582
Calculate the common denominator of 67/384384 and -10/81081.
10378368
What is the common denominator of -3/1225 and 66/95?
23275
Calculate the common denominator of -37/82506 and 145/165012.
165012
What is the common denominator of -35/52272 and -61/144?
52272
What is the least common multiple of 5423 and 5390?
2657270
Calculate the lowest common multiple of 2420 and 12100.
12100
Calculate the lowest common multiple of 12 and 2532.
2532
Calculate the common denominator of -41/1380 and -71/180.
4140
Calculate the common denominator of -17/506 and -63/4378.
100694
What is the common denominator of 77/72 and -121/715266?
2861064
What is the least common multiple of 554760 and 335?
554760
Find the common denominator of 38/32495 and -4/45493.
227465
Find the common denominator of 83/8925 and -73/476.
35700
Find the common denominator of -79/341616 and -125/12.
341616
Calculate the smallest common multiple of 5040 and 4455.
498960
What is the lowest common multiple of 18 and 88382?
795438
Find the common denominator of 54/565 and -13/527145.
527145
Calculate the common denominator of 101/14574 and -59/630.
218610
Find the common denominator of 41/960 and -139/72384.
361920
What is the common denominator of 11/2819 and -59/44?
124036
Find the common denominator of -89/156132 and -25/36.
156132
What is the least common multiple of 72996 | {
"pile_set_name": "DM Mathematics"
} |
+ z + 4*s = j, t*s - 15 = -4*z. Calculate the remainder when 11 is divided by z.
5
Let l = -9 + 14. Let r(s) = 8*s + 2. What is the remainder when r(l) is divided by 15?
12
Suppose 0 = 4*i - 3*g - 51, 4*g - 70 = -5*i - 14. What is the remainder when 23 is divided by i?
11
Suppose 3*k + 5*b + 28 = 5*k, 0 = 3*k + b - 42. What is the remainder when (-4)/(-8) + (-154)/(-4) is divided by k?
11
Let y(v) = 27*v + 1. Let p be y(1). Let j = -17 + 30. Let t = p - j. Calculate the remainder when 28 is divided by t.
13
What is the remainder when (-4)/(8/(-63))*2 is divided by 22?
19
Suppose -3*f + 27 = o - 80, -2*f = -o - 68. What is the remainder when f is divided by (-11 - -26) + -4 + 1?
11
Suppose 5*v = 5*a + 70, -4*a - 3 = 5. What is the remainder when v is divided by 8?
4
Suppose -3*m + 5*y + 2 + 0 = 0, m + 3 = -2*y. Let o(s) = -24*s. Suppose w + 0 = 13. What is the remainder when o(m) is divided by w?
11
Let t = 40 + -25. What is the remainder when t is divided by 4?
3
What is the remainder when 18 is divided by 5 + (-3 - 4) - (2 + -10)?
0
Let s = -67 - -98. What is the remainder when s is divided by 11?
9
Suppose 3*f + 111 = -2*q, -2*f - f - 126 = -3*q. Let h = f - -58. What is the remainder when h is divided by 11?
8
Let r = -27 - -42. Let m = r + -6. Let f(t) = -t + 27. Calculate the remainder when f(11) is divided by m.
7
Let y be 427/(-13) - 2/13. Let o = -16 - y. What is the remainder when 67 is divided by o?
16
Let h(p) = -24*p - 4. Let n be h(-3). Suppose 4*q - 36 = n. Calculate the remainder when q is divided by (-4 + 7)/((-6)/(-28)).
12
Let k = 7 - 5. Suppose -2*h + 0*h - 3*f + 17 = 0, -10 = -h - f. What is the remainder when (-112)/(-3) - k/6 is divided by h?
11
Let g(r) = 2*r**2 + r - 3. What is the remainder when g(-5) is divided by 15?
12
Suppose -5*l - 17 = 2*z, -3*l = -4*z - 7*l - 16. What is the remainder when 28 is divided by (-29 + 14)/(1*z)?
13
Suppose -n + 2*o = -o - 48, 0 = 5*n + 2*o - 257. What is the remainder when n is divided by 11?
7
Let b = 5 + -3. Let d(u) = 4*u - 1. Calculate the remainder when 20 is divided by d(b).
6
Suppose -2*n = -n, 3*n = 3*s - 123. What is the remainder when s is divided by 11?
8
Suppose -2*l + 12 = n + 2*n, -l + 5 = n. Suppose -4*z = -n*z - 5*d - 23, 2*z - 21 = 3*d. What is the remainder when z is divided by 5?
4
Let c be 39/4 - 2/(-8). Let q be 3 - 3/((-6)/(-16)). Let g = q + c. What is the remainder when g is divided by 3?
2
Let j(l) = -65*l**3 - l**2 + l + 1. Let w(u) = -29*u - 6. Let r be w(-4). Suppose -i + r = 4*i. Calculate the remainder when j(-1) is divided by i.
20
Let k = 2 - 1. Suppose 2*g - 10 = 24. What is the remainder when ((0 - -2) + 47)*k is divided by g?
15
Suppose -5*d + 2*d = -186. Let f(o) = -o**3 - o + 16. Let x be 0/(3/(-6)*2). What is the remainder when d is divided by f(x)?
14
Suppose 11 = 3*u + 26, -2*p + 2*u - 52 = 0. Let f = p + 75. Suppose 0 = -0*r - 4*r + f. Calculate the remainder when 43 is divided by r.
10
Suppose 6 = -5*d + 71. Calculate the remainder when 35 is divided by d.
9
Let z = -2 - 0. Let l = 0 + 29. Calculate the remainder when l is divided by (-6)/z*60/18.
9
Suppose 5*l + 23 = 3*a - 6, a + 17 = -5*l. Suppose a*s + 4 = 61. What is the remainder when s is divided by 5?
4
Let w(i) = i**2 - i + 22. Suppose 4*d + d - 430 = 0. Calculate the remainder when d is divided by w(0).
20
Let r(w) = -w**3 + 6*w**2 + w. Let v be r(6). Let b = 1 + v. Suppose 2*h - 18 = 20. Calculate the remainder when h is divided by b.
5
Let d(w) = -w + 2. Let h be d(8). What is the remainder when (8/h)/2*-15 is divided by 6?
4
Suppose 0 = -a - m - 0*m + 4, 0 = a - 5*m - 10. What is the remainder when a is divided by -3*(1/(3/6) - 3)?
2
Suppose 2*y - 5 + 3 = 0. Let t be y + (3 - 2 - -1). Suppose -4*i = -t*i - 22. What is the remainder when 65 is divided by i?
21
Suppose -2*g - 3*g = -95. Calculate the remainder when g is divided by 3.
1
Let v(u) = -u**3 - 4*u**2 + u - 1. Suppose r + 0 + 5 = 0. Let q be v(r). Let o = q + -13. Calculate the remainder when o is divided by 4.
2
Calculate the remainder when 42 is divided by (-1)/(-2)*(9 - -37).
19
Let c(y) = -2*y**3 - y**2 + y. Suppose 2*m = -0*m + 6. Suppose -4*f - 4*j + 2 = 6, -m = f - j. Calculate the remainder when 29 is divided by c(f).
9
Suppose -30*w = -25*w - 80. What is the remainder when 62 is divided by w?
14
Let l = 11 - 7. Suppose l*y = 5*u + 68, 0*y + 3*y = u + 51. What is the remainder when 65 is divided by y?
14
Let r(w) = 17*w**2 - 1. Let s = -24 + 17. Let x(h) = h**3 + 8*h**2 + 8*h + 8. Let p be x(s). Calculate the remainder when r(p) is divided by 6.
4
Suppose -3*g - w - 9 = 2*w, -13 = g - w. Let j = 15 + g. Suppose 2*z - 8 = -c - z, -2*z = -5*c + 108. Calculate the remainder when c is divided by j.
6
Suppose -t - 3*y + 2*y + 35 = 0, 20 = -5*y. Calculate the remainder when t is divided by 21.
18
Let a(w) = -15*w + 57. Let t(q) = -7*q + 28. Let v(n) = -3*a(n) + 7*t(n). Calculate the remainder when v(-11) is divided by 18.
15
Suppose 0 = 17*r - 12*r - 90. Let w(v) = 18*v - 2. Suppose -s + 3 = -0*s. Calculate the remainder when w(s) is divided by r.
16
Suppose -d = -2*d + 11. Let u(n) = n**3 + 7*n**2 + 3*n + 13. Calculate the remainder when u(-6) is divided by d.
9
Suppose 6*c + 35 = 119. Calculate the remainder when 52 is divided by c.
10
Let k(b) = b**3 - b**2 + 6. What is the remainder when k(0) is divided by ((-342)/(-24))/3 + 3/(-4)?
2
Let v(f) = f**3 + 2*f**2 + f + 1. Let d be ((-3)/((-6)/(-2)))/(-1). Let c be (3 - 2) + 2 - d. Calculate the remainder when v(c) is divided by 7.
5
Let w = -5 - -11. What is the remainder when w/4 + 2/4 is divided by 2*((-6)/4)/(-3)?
0
Let w(h) = h**2 + h - 12. Calculate the remainder when w(-5) is divided by 5.
3
Let m(d) = -3*d - 7. Let f be m(-5). Calculate the remainder when f/4*(-75)/(-6) is divided by 13.
12
Suppose 6 + 14 = -4*b, -14 = h + 5*b. Suppose -4*n - 5*m + 5 = 0, -h = -5*n - 2*m + 8. Let t = -9 + 18. Calculate the remainder when t is divided by n.
4
What is the remainder when 7 is divided by 2/6 - (-14)/3?
2
Suppose -4*w - 160 = -5*m - 0*w, -2*m = -w - 64. Suppose 115*b - 132 = 104*b. What is the remainder when m is divided by b?
8
Let b(h) = -2*h - 4. What is the remainder when b(-7) is divided by 4?
2
Let p = -19 + 38. Let j = 10 - 11. Calculate the remainder when (-6)/3 - j - -37 is divided by p.
17
Calculate the remainder when (-459 - -1)/(-2 + 4 + -4) is divided by 21.
19
Calculate the remainder when ((-8)/10)/((-22)/275) is divided by 3.
1
Suppose 0 = m - 3*m + 2*a + 34, -m + 2*a + 22 = 0. What is the remainder when m is divided by 7?
5
Suppose 5*k = 5*i + 65, -i + 6*i = k - 29. What is the remainder when ((-100)/12)/(3/(-9)) is divided by k?
7
What is the remainder when 53 is divided by -1 - ((-1)/1 - 14)?
11
Let q = 110 - 37. What is the remainder when q is divided by 25?
23
Let w(j) = 10*j - 4. Let a be (-2)/9 + (-94)/(-18). Calculate the remainder when w(a) is divided by 16.
14
Let h(l) be the first derivative of -l**4 - 3*l**2/2 - 3*l - 2. Calculate the remainder when h(-2) is divided by 18.
17
Let g = 27 + -5. Calculate the remainder when 85 is divided by g.
19
Suppose -3*o = z - 0*z - 20, -50 = -5*o - 5*z. What is the remainder when ((-72)/(-15))/((-9)/(-30)) is divided by o?
1
Suppose 5*o - m - 48 = -5*m, -5*o - m = -42. What is the remainder when 28 is divided by o?
4
Let b(q) = -21*q**3 + 2*q**2 + 3*q + 2. What is the remainder when 41 is divided by b(-1)?
19
Let h(c) = 3*c + c - c + 0*c + 4. Suppose 0*r - g + 14 = 2*r, -25 = -r - 5*g. Calculate the remainder when h(r) is divided by 10.
9
Let y be (-2)/((-2)/2) + -2. Let a(s) = s + 46. Suppose 5*k - 5*i - 38 = 52, 0 = 5*i + 10. Calculate the remainder when a(y) is divided by k.
14
Let u(v) = -v + 8. Let b be u(8). Suppose l + 2*j - 6 = b, l + 4*j + 30 = 2*l. Calculate the remainder when 39 is divided by l.
11
Suppose o = -2*r - 35 + 189, -3*o = 3*r - 228. What is the remainder when r is divided by 16?
14
Let g(n) = n**2 + 5*n + 3. Let y be g(-5). Let u = -58 + 80. What is the remainder when u is divided by (y/(-3))/((-1)/12)?
10
Let h = 7 + 5. What is the remainder when 46 is divided by h?
10
Suppose 5*z - 3*k = 104, 3*z - 2*k - 27 = 36. Calculate the remainder when z is divided by ((-2 + 3)*-11)/(-1 | {
"pile_set_name": "DM Mathematics"
} |
b) o (c) 6/11
a
Let s = -1815 - -1817. Which is the nearest to s? (a) -1/4 (b) 1/8 (c) 2/3 (d) -4/7
c
Let q = -17 - -39. Let c = 44 - q. Let u = 23 - c. What is the nearest to -1 in u, 0.2, 4?
0.2
Let p = 22.8629 - -0.0371. Let w = 23 - p. Let k be (0 - 1/3)*-2. What is the nearest to w in -2/9, k, 1/2?
-2/9
Let y = 2 + -0.3. Let f = y + 1.3. Which is the closest to -2/7? (a) f (b) 0.4 (c) -2
b
Let i = -202 + 197. Let j = -1101/7 + 157. Which is the nearest to 4? (a) j (b) i (c) 0.2
c
Let x = 61 - 91. Let n be 4/x + 4/3. Let u = 2 - 3. What is the nearest to -1 in u, -0.3, n?
u
Let l = -7.1 + 7. Let g = 25.7 + -25. Let u = -0.5 + g. Which is the nearest to -3/7? (a) u (b) -0.2 (c) l
b
Let y be (-7 + 4)*((-952)/(-96) - 10). Which is the nearest to 2/3? (a) y (b) 61 (c) 2/13
a
Suppose -21*i + 3*i = -72. What is the nearest to -1 in -4, i, -1.8?
-1.8
Let r = -16/21 - -17/7. Which is the nearest to -0.2? (a) -5 (b) -0.1 (c) r
b
Let h be (-5)/(1 + 0) + 2. Let g = -1386 - -1387. Which is the nearest to -8? (a) g (b) h (c) -5
c
Let g = 29 - 36. Let l = 5 + -5.1. What is the nearest to l in -0.4, -5, g?
-0.4
Let m = -0.02 - -7.02. Which is the nearest to m? (a) -1 (b) -2/23 (c) 2/3
c
Suppose -4*k + 40 = 20, 0 = -5*l + 3*k + 5. What is the nearest to 8 in l, -0.5, -1?
l
Let j = -5 - -4. Let f be 8/32 + j/2. What is the nearest to -14 in 1/8, f, -3/4?
-3/4
Let h be 3 - 35/(-25) - 4. What is the closest to -1/4 in 2, -2/5, h?
-2/5
Let c = 1.1 - 5.1. Let k = -8/77 + -2/11. Suppose 0 = -p - m - m - 1, p + 15 = 5*m. What is the closest to k in -3, p, c?
-3
Let k = -122 + 121. Which is the closest to k? (a) 1/3 (b) 5 (c) -0.2
c
Let c be (-5 + 6)*(0 - -3). Suppose -27 - 3 = 6*p. Let y = p - -16/3. What is the closest to y in c, 2, 14?
2
Let g = -0.31 - -0.3. Which is the nearest to 0.1? (a) g (b) -0.1 (c) 0.1
c
Let g be 96/(-528) + 42/110. Let u = 3.05 - 0.05. Let o = -103 - -205/2. What is the nearest to o in g, 2/7, u?
g
Let l = -65 - -62. Which is the closest to 0? (a) 5 (b) 0.5 (c) l
b
Suppose 536 = p + x - 4*x, -3*p + 5*x = -1588. Let l = -9901/19 + p. Which is the nearest to 0? (a) -7 (b) l (c) 0.4
b
Let d = 1 + -0.7. Let f = -51 - 10. Let n = -64 - f. What is the closest to 1/2 in -5, n, d?
d
Let w = -22 + 12. Let l = w + -1. Let j be (-9)/(-15) + l/10. Which is the closest to j? (a) -3 (b) -2/9 (c) -4
b
Let z = -253 + 252. Which is the closest to -2/7? (a) -5 (b) -3 (c) -4 (d) z
d
Let d = -10/191 + 512/2483. What is the nearest to -4 in 1/6, -5, d?
-5
Let d = 713.2 + -713. Which is the closest to -31? (a) 0.5 (b) d (c) -2
c
Suppose -17 = -4*t + x, t - 20 = -3*t + 4*x. Let d be 795/165 - 12/(-66). What is the nearest to -1/4 in t, 9, d?
t
Let v be 40/(-45) + (-11)/99. What is the closest to v in -3/19, 0.3, -9?
-3/19
Let t = -2404 + 2405. What is the nearest to -1/60 in -2/7, 2, t?
-2/7
Let t be ((-4)/(-28))/((-6)/(-84)). Which is the closest to t? (a) -1 (b) 0 (c) -0.1
b
Let y = 0.22 - 0.2. Let g = -31.9 + 36.88. Let k = y + g. Which is the closest to -2/5? (a) -0.1 (b) 6 (c) k
a
Let l = -13 + 13.36. Let v = -0.06 + l. Suppose 23*t + 0*t - 23 = 0. Which is the closest to t? (a) v (b) 0.1 (c) 0.4
c
Let c = 19.7 + -20. Let r = 182 + -1636/9. What is the nearest to -1 in r, 1, c?
c
Let p = 0.678 - 0.278. Let d = -292/1391 - -6/107. Which is the closest to -1/4? (a) p (b) d (c) 6/5
b
Let p = 1376 + -1376.4. What is the nearest to -1/4 in 0.03, 3, p, 7?
p
Let f = 254/7 - 36. Let t = 34 - 33.95. What is the nearest to f in -3, t, 2/15?
2/15
Let q = 417.09 + -414. Let b = 3 - q. Let t = -0.01 + b. What is the nearest to 3 in 0.5, t, -3/4?
0.5
Suppose -11*a = -56 + 1. Let y(s) = s**3 - 4*s**2 - 6*s + 2. Let h be y(a). What is the nearest to h in 2, -0.4, 2/9?
-0.4
Suppose 2*m - 5 = -0*q + q, -4*q = 3*m + 20. Let o = -3.35 - -1.35. Which is the closest to 0.1? (a) o (b) m (c) 0.3
b
Let k = -112.9 - -112.4. Which is the nearest to -1? (a) 2/3 (b) -4/9 (c) k (d) -3
c
Suppose -3*h = -4*p + 6*p - 52, -2*p = 2*h - 38. Let o be (-4)/h - (-17)/84. Which is the nearest to -0.2? (a) o (b) -2 (c) -0.06
a
Let a = 1784/3 + -595. What is the closest to 0.4 in a, 15, 4, 5?
a
Let r = -14.9 + 12. Let k = r - -2.4. What is the nearest to 0 in k, -0.1, 3?
-0.1
Let r = 2.6 - 3. Let w = 1699 - 1699.02. Which is the nearest to 1? (a) w (b) r (c) 0
c
Let i = -0.024 - -0.024. What is the closest to i in 3, -0.2, 0?
0
Suppose 0 + 5 = -5*t, 4*o - t = 5. Which is the closest to 20? (a) -0.4 (b) o (c) 3/5
b
Let z(f) = 10*f**3 + f**2 + 2*f - 2. Let t be z(1). Which is the closest to -0.2? (a) -0.3 (b) 5 (c) t
a
Let g = -57 - -57.39. Let r = 0.09 - g. Let t = 5 + -8. Which is the closest to 1? (a) -0.2 (b) r (c) t
a
Let s = 114 - 113.8. Let r be (-14)/20 + (-2)/(-10). What is the closest to 0.1 in s, 4/7, r?
s
Let m = -0.04 + 0.04. Let q = 406 - 2012/5. What is the nearest to q in -2, -0.5, m?
m
Let m = 444 + -439. Which is the closest to 0.1? (a) 1.5 (b) m (c) -15 (d) -0.4
d
Let t = -19.38 + 19.8. What is the closest to 1 in t, 4, -5?
t
Let x = 5/24 - 7/8. Let q be (7*13/(-91))/((16/(-20))/(-2)). Which is the nearest to x? (a) -2 (b) q (c) -9
a
Suppose -2*r + 0*r - 8 = -3*w, w + r = 6. Let s(o) = -1 + 3*o + 10 - w. Let g be s(0). Which is the nearest to 2? (a) g (b) 0.3 (c) -2/3
b
Let l = -0.2 + -0.2. Let q = -1.57 + 67.57. Let u = 64 - q. Which is the nearest to 1? (a) l (b) 0.1 (c) u
b
Let l be (6 - -1)*13/26 - 3. Which is the closest to -0.1? (a) l (b) -4 (c) 18/5
a
Let j = 27.6 - 39. Let v = 11.1 + j. Which is the nearest to v? (a) -1 (b) -5 (c) 4
a
Let x be (32 - (-864)/(-27)) + (-18)/(-5) + -2. Let n = 0.1 - 0.1. Let j = 0.1 + n. Which is the nearest to j? (a) 0.2 (b) -0.4 (c) x
a
Let n = 8 + -8.01. Let s = 2.01 + n. Let u = 79 + -238/3. Which is the closest to s? (a) -3/2 (b) 0.4 (c) u
b
Let g = -20.3 - -20.3. What is the closest to -0.2 in 0.06, 2, g?
g
Let j = -10 + 12. Let y = -1.12 - -0.71. Let x = 0.11 + y. What is the closest to 0 in j, -4, x?
x
Suppose -2*g - d - 9 = 2*g, -g + d = -4. Let q = -180 + 20. Let z be (8/q)/(4/(-10)). What is the closest to g in 0.3, z, -1/4?
-1/4
Let h = 1 + -4. Let d be (-24)/(-63) - (-2)/h. Let v be (3 - 154/14) + 3. Which is the closest to 1? (a) d (b) 0.3 (c) v
b
Let v = 305 + -1523/5. Which is the closest to v? (a) 1/7 (b) 0.5 (c) -2/13
b
Let z = 1 + 2. Let l be 1341/(-298) - (2 + -6). What is the nearest to l in -2/11, -1, z?
-2/11
Let t = 527 - 526.7. Which is the closest to -17? (a) t (b) 0.03 (c) 4
b
Let z = 25 - 30.8. Let w = -5.5 - z. Which is the nearest to -1? (a) w (b) -2/7 (c) 5
b
Let z = 0.7 - 0.2. Let w(n) = -n**3 + 15*n**2 - 14*n + 7. Let d be w(14). Let g be 18/4*d/21. What is the closest to -1/3 in g, z, 0?
0
Let r = 9 + -25. Let l = -16.4 - r. Which is the closest to 1? (a) -0.5 (b) l (c) -2/19
c
Let t = 284 - 287. Let d = 38 - 192/5. What is the nearest to t in -4/3, 0.3, d?
-4/3
Let r = -1886.99 - -1887. What is the closest to -5/8 in -3, r, -1?
-1
Let g = -7.3 + 7. Let m = 6 + -14. Let j = 32 - 32.1. Which is the nearest to j? (a) m (b) g (c) 0.2
b
Let l = 557/5 + -109. What is the closest to 1 in -2, l, 0.2?
0.2
Let u = -0.19 + 0.09. Suppose -48 + 10 = 4*y - 2*q, -4*y - 5*q - 73 = 0. Let g be (-1)/(-4)*y/(-9). Which is the nearest to -1/2? (a) u (b) 3/2 (c) g
a
Let v = 49 - 51.5. Let i = -2.6 - v. Which is the nearest to i? (a) 10 (b) 4 (c) 0.2
c
Let f(w) = -w**3 + w**2 - 4*w + 3. Let a be f(2). Let r = -6 - a. Suppose 0 = -t + 4*i, -r*t + 0*t - 3*i - 15 = 0. What is the closest to 1/4 in -0.2, -2, t?
-0.2
Let x = -4.9 - -145.9. Let g = x - 140.98. Which is the nearest to 0? (a) g (b) 3 (c) 1
a
Let g = 230 + -231. What is the closest to g in 2/3, -0.06, -0.01?
-0.06
Let s = -42.289 - 0.211. Let r = s - -43. Let z = -4.3 - -0.3. What is the nearest to -1/3 in z, r, -0.3?
-0.3
Let d = 3 - 5. Suppose 56*m - 96 = 72. Let q be 3/(-2)*(-40)/105. What is the nearest to -0.1 in q, m, d?
q
Let z = 0.06 - 9.06. Let h = -8.6 - z. What is the closest to -1 in -1, h, -2?
-1
Let g = -0.6 + 0.6. Let h(n) = n + 14. Let c be h(-18). Let w be (-17)/14 - 8/28. What is the closest to g in 0.2, c, w?
0.2
| {
"pile_set_name": "DM Mathematics"
} |
hen two letters picked without replacement from xwwwzzzzxwwzzwzzww.
64/153
Four letters picked without replacement from {f: 2, y: 2, u: 1}. What is prob of picking 4 u?
0
What is prob of picking 1 p, 1 h, and 1 l when three letters picked without replacement from pppplaphhhphlplapplp?
8/57
Four letters picked without replacement from {c: 1, m: 2, z: 4, e: 2}. Give prob of picking 2 e and 2 z.
1/21
Calculate prob of picking 1 q and 2 d when three letters picked without replacement from {q: 1, d: 3}.
3/4
Four letters picked without replacement from {g: 4, w: 7}. Give prob of picking 4 w.
7/66
What is prob of picking 4 g when four letters picked without replacement from {a: 4, g: 6}?
1/14
What is prob of picking 1 a and 1 p when two letters picked without replacement from apvpprvprprrapa?
6/35
Two letters picked without replacement from puuuggpupmp. What is prob of picking 1 m and 1 g?
2/55
What is prob of picking 1 j and 1 a when two letters picked without replacement from {j: 4, x: 2, d: 1, p: 2, a: 3}?
2/11
What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 14, r: 5}?
455/969
Three letters picked without replacement from cmcmaccaaammmaaa. Give prob of picking 3 c.
1/140
What is prob of picking 1 c and 1 y when two letters picked without replacement from flufolyyulcy?
1/22
Calculate prob of picking 1 e, 1 k, and 1 z when three letters picked without replacement from {m: 4, k: 3, d: 1, e: 1, z: 2}.
2/55
Two letters picked without replacement from {l: 4, j: 5, q: 1, p: 1, g: 1, v: 1}. Give prob of picking 1 j and 1 l.
10/39
What is prob of picking 3 e and 1 s when four letters picked without replacement from eeeeeseeees?
28/55
Calculate prob of picking 3 k when three letters picked without replacement from {k: 7, a: 2, p: 7}.
1/16
Three letters picked without replacement from {z: 2, r: 6}. What is prob of picking 1 r and 2 z?
3/28
What is prob of picking 1 f and 2 i when three letters picked without replacement from iifiddffdidfdf?
15/182
Two letters picked without replacement from ddddddddddyddddddddy. What is prob of picking 2 d?
153/190
What is prob of picking 2 h when two letters picked without replacement from zhhuhzuuuzu?
3/55
Three letters picked without replacement from {f: 3, w: 2, r: 2, j: 2}. Give prob of picking 1 r, 1 w, and 1 f.
1/7
Four letters picked without replacement from {f: 3, b: 4, a: 2, v: 1, d: 2, j: 2}. What is prob of picking 1 f, 1 d, 1 j, and 1 a?
24/1001
Three letters picked without replacement from {b: 5, h: 2, y: 6, p: 5, u: 1}. Give prob of picking 1 u, 1 y, and 1 b.
10/323
Four letters picked without replacement from {m: 2, l: 1, g: 1, z: 1, n: 2}. Give prob of picking 1 g, 1 z, and 2 n.
1/35
Four letters picked without replacement from gpphpgpgpgg. What is prob of picking 3 g and 1 p?
5/33
Three letters picked without replacement from huhtutluhttwhwn. What is prob of picking 1 n and 2 w?
1/455
Two letters picked without replacement from eejjytty. Give prob of picking 1 y and 1 t.
1/7
What is prob of picking 1 b, 2 z, and 1 s when four letters picked without replacement from bzzsse?
2/15
What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 1, q: 3}?
1/2
Three letters picked without replacement from {t: 4, a: 2, f: 8}. Give prob of picking 3 t.
1/91
What is prob of picking 1 h, 1 m, and 1 y when three letters picked without replacement from {y: 3, h: 4, m: 3, q: 3, f: 3}?
9/140
Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, f: 7, i: 1, s: 3}.
1/22
Three letters picked without replacement from {s: 2, k: 3, x: 5}. What is prob of picking 2 s and 1 x?
1/24
What is prob of picking 1 m and 1 h when two letters picked without replacement from {g: 1, m: 1, h: 1}?
1/3
What is prob of picking 1 d, 1 s, and 1 p when three letters picked without replacement from sdkddspssdksddkddd?
15/272
Calculate prob of picking 1 e and 1 i when two letters picked without replacement from ekkwwiwkkkqwwww.
1/105
Three letters picked without replacement from {k: 9, i: 5}. What is prob of picking 1 i and 2 k?
45/91
Two letters picked without replacement from {x: 1, g: 2, b: 1, d: 3, n: 3, h: 1}. What is prob of picking 1 n and 1 d?
9/55
Two letters picked without replacement from {q: 6, w: 1, r: 2, o: 2, l: 5, j: 1}. Give prob of picking 1 q and 1 j.
3/68
Two letters picked without replacement from {s: 1, i: 3, d: 3, y: 3, m: 4, v: 1}. What is prob of picking 2 y?
1/35
Calculate prob of picking 2 t when two letters picked without replacement from ttte.
1/2
Three letters picked without replacement from {b: 3, k: 4, l: 4, o: 5, u: 3}. What is prob of picking 1 o, 1 l, and 1 u?
20/323
Four letters picked without replacement from ciissiciicci. Give prob of picking 2 s and 2 i.
1/33
Four letters picked without replacement from krkrjkrjr. What is prob of picking 3 r and 1 j?
4/63
Three letters picked without replacement from {y: 18, f: 1}. Give prob of picking 1 f and 2 y.
3/19
What is prob of picking 1 u, 1 m, and 2 e when four letters picked without replacement from {m: 4, u: 11, e: 3}?
11/255
Two letters picked without replacement from roiomoooomoixiimo. What is prob of picking 2 i?
3/68
Calculate prob of picking 2 k when two letters picked without replacement from kkggggkggkkgg.
5/39
Two letters picked without replacement from {f: 3, n: 13}. Give prob of picking 2 f.
1/40
Calculate prob of picking 2 f, 1 g, and 1 u when four letters picked without replacement from {f: 7, t: 1, b: 2, g: 3, u: 3, k: 2}.
21/340
Calculate prob of picking 1 k and 2 p when three letters picked without replacement from {p: 4, k: 2, x: 2, n: 1}.
1/7
Four letters picked without replacement from aaccccccccccaccccccc. What is prob of picking 3 c and 1 a?
8/19
Three letters picked without replacement from {p: 6, t: 2}. What is prob of picking 2 p and 1 t?
15/28
Calculate prob of picking 3 j and 1 f when four letters picked without replacement from zfehjfffjjezefffw.
1/340
Calculate prob of picking 1 u, 2 r, and 1 j when four letters picked without replacement from {r: 2, w: 1, u: 1, s: 1, j: 2}.
2/35
Two letters picked without replacement from qqtnqqttqqttqqqqt. What is prob of picking 2 t?
15/136
What is prob of picking 2 y and 1 w when three letters picked without replacement from wwykyiwykyyyxwk?
12/91
Two letters picked without replacement from fdmfmuozuozozfzm. What is prob of picking 1 f and 1 u?
1/20
Three letters picked without replacement from ncnncfbbcbbnncnc. Give prob of picking 2 c and 1 b.
1/14
Calculate prob of picking 1 v and 1 p when two letters picked without replacement from vfpwffvwvqqf.
1/22
Three letters picked without replacement from {q: 1, l: 6, j: 7, u: 3}. What is prob of picking 3 l?
1/34
Two letters picked without replacement from {s: 9, m: 11}. What is prob of picking 2 s?
18/95
Three letters picked without replacement from {p: 3, r: 9, i: 7}. What is prob of picking 2 i and 1 p?
21/323
Four letters picked without replacement from kpkkkppppkpkkpppkkpp. What is prob of picking 4 k?
42/1615
Calculate prob of picking 2 a and 2 v when four letters picked without replacement from avaavaaaa.
1/6
Calculate prob of picking 1 n, 2 f, and 1 y when four letters picked without replacement from {f: 2, y: 2, m: 4, b: 1, n: 5}.
10/1001
Calculate prob of picking 1 v and 1 a when two letters picked without replacement from yvayayvaaaviyvcyava.
35/171
Calculate prob of picking 2 j when two letters picked without replacement from {y: 2, j: 1, m: 1, p: 1}.
0
Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, l: 2, g: 3, z: 6, o: 5}.
1/153
What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 4, p: 1, g: 4, l: 5, n: 5}?
20/171
Calculate prob of picking 1 x, 1 h, and 1 t when three letters picked without replacement from {l: 1, h: 1, x: 4, o: 4, d: 2, t: 2}.
2/91
What is prob of picking 3 t when three letters picked without replacement from {p: 3, y: 4, d: 1, t: 5, i: 5}?
5/408
Four letters picked without replacement from {q: 3, m: 3, x: 2}. Give prob of picking 1 m and 3 q.
3/70
Calculate prob of picking 2 l when two letters picked without replacement from wllllllw.
15/28 | {
"pile_set_name": "DM Mathematics"
} |
-35) - -44
7
What is (9 + -16 - (11 - -9 - 16)) + -61?
-72
24 + -6 + (-7 - -12) - -17
40
What is (-15 - (-54 + 18)) + -18 - 11?
-8
What is -54 + -18 + 93 - 18?
3
Evaluate -74 + 0 + (3174 - 3041).
59
Calculate 10 + 3 + -13 + (8 - -3) + 89 - 2.
98
Evaluate (-2 - ((6 - -2) + -1 + (130 - 154))) + -9.
6
75 - (65 + -71) - (-4 - 1) - 4
82
What is 84 + -163 - -90 - (73 + -1)?
-61
-7 + -5 - (-23 + 1 + (1 - -3))
6
Evaluate 11 - 52 - -96 - 10.
45
Evaluate 134 - 195 - (-9 - 21).
-31
Evaluate 45 + -44 + (-3 - (8 - 3 - 4)).
-3
(12 + 14 - (-8 + 18)) + -55
-39
What is the value of 354 + -338 - (-39 - 5)?
60
Evaluate 1 + 7 + -13 + (49 + -11 - 18) + 11.
26
81 - (12 - (67 - 82))
54
16 + (-68 - (-26 - -12)) + -5
-43
What is the value of (92 - -57) + -194 - -97?
52
59 + -23 + -110 + 211 + -15 + 0
122
21 + -7 - (-12 - (-53 + -2))
-29
Calculate -8 - (7 - 8 - 6) - (-32 + -14).
45
Evaluate -25 - -21 - ((-3 - -2) + -27 + -19).
43
39 + 85 + -43 + -52
29
Evaluate (80 - 14) + 32 - (23 - -2 - 0).
73
What is (-37 - 3) + 236 + -252 + -22?
-78
Evaluate -32 - (-578 + 621 + (-40 - 0)).
-35
Evaluate 0 - (14 - ((-34 - -17) + 22)).
-9
What is the value of 6 + -3 - (85 - (19 - (5 - (-1 - 1))))?
-70
What is the value of 2575 - 2455 - (-5 + -4 + 22)?
107
Calculate (3 + -10 - 4) + (-26 - (-94 - -46)).
11
Calculate 5 + (0 - 12 - (23 - 32)) + -55 + -4.
-57
What is -484 - -449 - (107 + -16)?
-126
What is the value of 440 - 425 - (52 - 0) - (-1 + 10) - -8?
-38
What is the value of 4 + -2 + (-101 - -101) + -24?
-22
Calculate (80 - -9 - 38) + -54.
-3
Calculate (-36 - (19 - 31)) + 81.
57
What is -827 - -875 - (118 + 1)?
-71
What is the value of 10 + (-16 - 4) + -34 + 55 + -14?
-3
What is (-18 - -2) + (-2 - -2 - (-80 - -100))?
-36
Calculate (11 - 3 - 29 - -9) + 67.
55
-5 + 78 + (7 - (61 + -31))
50
Calculate -115 + 0 - (5164 - 5202).
-77
Calculate -97 - (-5 + -57 - -21).
-56
Evaluate -29 + 25 + 5 + -9 - (0 + 3 - 11).
0
-111 - 0 - (-17 - -17) - (-1445 + 1451)
-117
1 + -13 + (65 - 82) + 48
19
What is -40 + 51 + (14 - 58) + 11?
-22
Evaluate 25 + 3 + -47 + 66.
47
What is the value of (56 - 58 - (-5 - -2)) + -35 + -26?
-60
What is the value of -3 + -8 + 0 + 0 + 4 + -9?
-16
Evaluate 129 + -161 + -111 + 147.
4
Calculate (18 - (20 + 7)) + -1 + 17 + 0 + -28.
-21
What is the value of -413 + 380 - ((-7 - -5) + 14)?
-45
What is the value of 55 + -4 + -10 + (-2 - -15) + -4?
50
Calculate 37 - 0 - (-331 + 157 + 164).
47
Calculate 45 - (16 + 40) - 45.
-56
Calculate (-56 - -102) + -36 + -2.
8
What is the value of -6 + (-17 - (-5 - -8 - -37))?
-63
What is -5 + 20 + ((17 - 5) + -16 - 52)?
-41
Evaluate -5 + -88 - (36 - (-7 + 34)).
-102
Calculate 2 + -35 + -6 - (86 + -45 - 63).
-17
What is -22 + -1 - (-11 + 15 + -9 + 10)?
-28
What is (5 - -48) + (-3 - (-5 + -3) - (6 + -1))?
53
Evaluate -3 - (97 - 85) - (3 + -1 - -15).
-32
Evaluate (-9 - -57 - 13) + -19 - 58.
-42
Calculate (0 - ((8 + 5 - -35) + -1)) + 1 + -13.
-59
What is -87 + (-6 - -5) - (7 + (-28 - (-9 + -7)))?
-83
Evaluate 32 - 0 - (-306 + 272).
66
What is -53 - (-139 - (-19 - -14))?
81
Calculate (-3 - 0) + (71 - 37) + -51.
-20
What is the value of (-42 + 3 - -16) + 48 + 43?
68
What is the value of 0 + -4 + -111 + 109 + -31 - -10?
-27
684 + -824 - (-20 + (-26 + 23 - (0 - 8)))
-125
What is -112 + (-106 - -204) + 46?
32
Evaluate 61 - (-8 - -1 - (497 + -513)).
52
What is the value of -50 + 188 + -152 + (1 - (1 - 28))?
14
What is the value of -8 + 11 - (-1184 + 1145)?
42
-3 + 2 - (356 + -374)
17
What is the value of (100 - 86) + (-51 - 5) + 9 + 2?
-31
Evaluate 43 + -6 + 2 + -18 + 40.
61
(-55 + 43 - -34) + -10 - 42
-30
Calculate (-36 - -91) + 4 + -23.
36
Calculate (2 - 9 - -15) + 5 - (-45 - -100).
-42
Calculate -12 + 34 + -3 + -16 + 4.
7
Calculate -84 + 81 - (-2 + (9 - 2 - -35)).
-43
What is -3 + -65 - (-183 - -162) - -34?
-13
Evaluate 24 - 11 - -9 - (-16 - -17).
21
What is the value of (-11582 - -11597) + (1 + -33 - -2)?
-15
Calculate 1 + (50 - 77) - -21.
-5
Calculate 273 + -264 - (-2 + (-13 - -56)).
-32
What is the value of 136 + (-13 + -24 - 91)?
8
What is the value of 27 - (93 - (-27 - 42))?
-135
-7 + -13 + 26 - (20 + -28) - 20
-6
What is 32 - 18 - (-54 + -17 + -6 + 18) - -11?
84
Calculate (3 + -26 + -3 + 10 - -7) + 8.
-1
Calculate (-4 - -10) + -14 - 33.
-41
What is 13 - (1 - 3 - (7 - 1) - (7010 - 6948))?
83
24 + -82 + 71 - (-1 - 118)
132
What is the value of -23 + 4 + -2 - (-2 - 8)?
-11
Evaluate -18 - -9 - -11 - (-35 + -3 + -12).
52
Evaluate 142 + (-36 - (62 + -21)).
65
Evaluate 45 + -57 + (-36 - -78).
30
What is 15 + 6 - 0 - (165 - 95)?
-49
What is the value of -1 + -1 - (33 + 11 + -125 - (11 + 10))?
100
What is the value of 5 + (3 - 7 - -9 - -3) - (145 - 61)?
-71
6 + (-14 - (-17 + -15) - 55)
-31
What is the value of 85 + -92 + -1 + 87 + (5 - 5)?
79
Calculate (-4 + 3 - -12) + (-220 - -226).
17
Evaluate -27 + -17 + 10 + 44 - 75.
-65
Evaluate 85 + (557 + -569 - (-1 + -3)).
77
Evaluate -28 + 4 - (-78 + -1 - -86).
-31
Calculate 6 + (-21 - -18) - ((-17 - 106) + 17).
109
Calculate 55 + -21 + -22 + (1 + 21 - 4).
30
Evaluate 12 + 0 - (135 - 145) - (-1 - -4).
19
Calculate -89 - (83 + -118 + 47).
-101
0 + -6 + (62 - (52 + 9))
-5
-26 - ((-10 - (-3 + 0 - -4)) + 18)
-33
Evaluate (-3 + -21 - 0 - -24) + -29.
-29
(2 + -71 + -1 - 0) + (36 + -50 - -25)
-59
What is the value of (1 + 4 + 8 - 5) + (8 - (-48 - -203))?
-139
Calculate (-687 - -694) + (-11 - (-1 + -1)) + 20 + -3.
15
Evaluate (-7 - ((-3 - -1) + 22)) + -6 + (4 - -1).
-28
Calculate (-1 - -30) + -381 + 359 + 99 + 3.
109
Calculate -38 + 26 - (5 - -3) - 9 - 9.
-38
Calculate (-15 - (-20 - (-28 + 12))) + 6.
-5
What is the value of (65 - -2) + -3 - (-8 - (4 - 3))?
73
What is (84 - 98) + -43 + 49?
-8
What is -28 - 0 - (-40 - (-31 + 21) - -34)?
-32
Evaluate (-9 - 14) + 35 - 42.
-30
Calculate -13 + ((-18 - -4) + 24 - (-2 + 4)).
-5
What is the value of 255 + -49 - 124 - 111?
-29
Calculate -95 - (-204 - -95) - (0 + 3).
11
What is 7 + -21 + 20 + (33 - -5 - 7)?
37
What is the value of 55 - (-75 + 33 + 64)?
33
What is -10 + -2 - (-12 + 2) - -35?
33
Calculate (27 - 1) + (78 - 128).
-24
3 - 6 - 8 - (32 + (-52 - -16) + -2)
-5
Evaluate (67 - (12 + 11 + -22)) + (29 - 38).
57
Evaluate -4 + -1 - (-63 + (0 + -3 - -25) - 19).
55
-51 + (8 - -12) - -21
-10
-3 + 9 - (15 + 51 + 1 + -10)
-51
What is 10 - 16 - (73 - 99)?
20
What is the value of (81 - 1) + -160 + 17 + 124?
61
Evaluate -22 + 23 + 14 + -17 + 11.
9
What is 7 + (-44 - 18) + -5 + (5 - -5)?
-50
Calculate ((-55 - -67) + -15 + -2 - (7 - -1)) + 111.
98
Calculate 51 + -38 + -63 - -1.
-49
Evaluate 0 + 19 + -26 + -10 + 27 + (-1 - -99).
108
(-35 - (-10 - 0)) + -203 + 200
-28
Calculate (77 + -69 - -3) + (-4 - -3).
10
109 - 14 - (-9 + -14 + (14 + 5 - 10))
109
Evaluate 35 + (-25 - -82 - 34) + -23.
35
What is the value of 5 + -16 - (-7 + -8 + 3) - 43?
-42
(18 - 1) + (82 - 91) - 12
-4
What is -11 - (-27 + -3 + (13 - -8) + -4)?
2
What is 34 + -16 + -13 + 0 + (-9 - 6)?
-10
Calculate 332 + -432 + (-12 - -137).
25
What is -58 + (-52 - 51 - -53)?
-108
Evaluate 29 - (15 - (28 + -45)).
-3
Calculate 3 - (-5 + 13 + -32) - -48.
75
What is the value of 15 - ((281 - 287) + -4 + 19)?
6
(149 - 77) + -76 + (2 - (-39 - -1))
36
What is (-1 - (3 + -6) - -3) + (-331 - -328) + 32?
34
26 + -7 + (-105 - -52)
-34
What is (8 - 12) + (-27 + (8 - 6 - 15) - 2)?
-46
Calculate 4 - 14 - (-5 + (-5 - -8) - (-1 + 9)).
0
Evaluate (5122 - 5207) + 67 + -1.
-19
2 + (-11 - -2) + (-98 - -1)
-104
What is the value of -1 + 2 - -1 - -48 - (91 - -325 - 412)?
46
Evaluate -201 - (-39 + -12) - (-32 - 2).
-116
Evaluate -14 - 17 - (7 - (4 - 3 - (-4 + 0))).
-33
Evaluate (68 - 24) + 3 + -85.
-38
What is 4 + 14 - (22 + -16 + 42)?
-30
What is -14 + 37 + (36 - (-49 + 59))?
49
Evaluate -60 + 70 - (-61 - -7).
64
What is the value of -4 - (-10 + 9 - (-8 - 4))?
-15
-4 + 102 - 16 - (129 + -84)
37
Calculate -12 + (-24 - -11 - -10) + -26 + 3.
-38
Calculate 91 - ((-5 - (-15 + 0)) + -105 + 98).
88
Evaluate -21 - (63 + -11 + (-5 - 7)).
-61
Evaluate (16 + (-18 - -7) - 11) + 20.
14
What is 21 + -21 + 83 - 7?
76
What is 60 + (-19 - (126 + -234))?
149
Calculate -1 - -20 - (207 + -161 - -12).
-39
What is (-4 - (13 + -25 + 12) - 0) + (55 - -8)?
59
What is the value of 1 - -1 - -31 - (18 + -42 + 8 + 26)?
23
Evaluate (-82 - 1) + (5036 - 4936).
17
What is the value | {
"pile_set_name": "DM Mathematics"
} |
r**2 + 2*r**2 - r**3 - 3*r**2 - 3 + 3*r. What is the lowest common multiple of f(-4) and 9?
9
Let g(c) be the third derivative of c**4/8 - 7*c**3/6 - 2*c**2. Let f(v) = -v**3 + v**2 - v - 1. What is the lowest common multiple of f(-1) and g(7)?
14
Let p(w) = -w + 2. Let d be p(5). Let z = 1324 + -7901/6. What is the common denominator of d/(-9) - 94/(-132) and z?
66
Let t be 110/168 - (-6)/(-9). Let w = t - -25/84. Calculate the common denominator of -51/10 and w.
70
Let n = 24 + -23. What is the least common multiple of n and (6/(-5))/((-6)/40)?
8
Let q(m) = -m + 1. Let i(u) = 2*u - 3. Let j(b) = i(b) + q(b). What is the least common multiple of 6 and j(3)?
6
Let w be (-28)/(-6)*(3 - 9). Let t be 3/(9/(-12) + 0). Calculate the common denominator of 1/t*(-1 - w) and 79/20.
20
Let w(n) = -n + 7. Let q be w(0). Suppose q + 1 = 4*g. What is the least common multiple of 14 and g?
14
Suppose 7*s = 4*s + 96. Find the common denominator of -2*(114/8 - -1) and 14/(-35)*(-1010)/s.
8
Suppose 5*l = -25, 0 = -w + l + l + 940. Suppose 7*z + 5*h + w = 2*z, 0 = 3*z + 4*h + 554. What is the common denominator of 2/40*(-8 - z) and 83/4?
20
Let t = -693555277601268 + 703265114869802591/1014. Let p = 62507004 - t. Let w = -126/169 - p. Find the common denominator of w and -62/3.
6
Calculate the least common multiple of (15/2)/(15/10) and 32.
160
Suppose -3 = 11*t - 14. Let i = 9 + -5. Suppose -3*s + 2*o + 4 = -0, 0 = -4*s - i*o + 32. Calculate the least common multiple of t and s.
4
Suppose 4*l = 2*m + 2*l - 42, 5*l = -4*m + 39. Let k = -4 + 22. Calculate the least common multiple of k and m.
144
Calculate the least common multiple of -4 - ((-4 - 0) + -8) and 2.
8
Suppose -4*j - 3 = -51. Suppose 2*r - r = j. Calculate the least common multiple of r and 14.
84
Let u = 10 - 13. Calculate the common denominator of 61/u - 1/(-3) and 95/8.
8
Let k = -27 + 31. What is the smallest common multiple of 4 and k?
4
Let n = -97777/14 - -6990. What is the common denominator of n and 63/148?
1036
Let o = 48 + -41. What is the smallest common multiple of 3 and o?
21
Let g = 7 - -1. Suppose -2 = 2*u - g. Calculate the least common multiple of u and 4.
12
Suppose -5*o + 1355 = -5*q, -7*q + 3*q = 2*o - 512. Find the common denominator of o/12 + (-4 - -2) and 63/22.
66
Let q(g) = g**2 - 18*g + 33. What is the least common multiple of q(16) and 2?
2
Let d = 16 + -22. Let m be 0 + -2 + d + -1. Let h = m + 23. What is the smallest common multiple of 20 and h?
140
Let m be 13990/(-140)*(-2)/62. Let t = 5/62 - m. What is the common denominator of -7/8 and t?
56
Let t = -20397/160 - -626/5. Calculate the common denominator of t and 61/6.
96
Suppose g = -4*g - 5*d - 10, -g + 10 = -3*d. Calculate the lowest common multiple of g and 11.
11
Calculate the common denominator of ((-398)/(-36) - 1) + -4 and -19/20.
180
Let a(k) = -k**3 + 9*k**2 + 5*k - 11. Let z = 7709/670 - 2/335. Find the common denominator of a(9) and z.
2
Let a(s) = s**3 + 6*s**2 + 2. Suppose 0 = -3*y - 18. Let r(m) = -m**2 + 7*m - 5. What is the least common multiple of r(6) and a(y)?
2
Let b(v) = -v**2 + 6*v - 2. What is the smallest common multiple of 18 and b(2)?
18
Suppose j - 7 = 2. What is the lowest common multiple of 5 and j?
45
Suppose 5*w + 50 = -4*m, -3*w + 2*m - 23 = 3*m. What is the common denominator of 94/w*(-7)/(-21) and (-94)/8 - (-2 + 4)?
36
Let i be 4 - ((-1)/1 + 4). Suppose 4*r = u - 4*u + i, -4*r - 5*u = -7. Calculate the common denominator of 9/7 and r.
7
Suppose 11 = -4*b - h, 2*h = -b + 7*h - 29. Let i(t) = -5*t - t + 5*t**2 + 3 - 5 - 6*t**2. What is the lowest common multiple of 5 and i(b)?
30
Let l = -1 + 3. Suppose l*u - 16 = u. What is the least common multiple of 20 and u?
80
Let k = 4523 - 63411/14. Let i be (-2)/9 + (-5280047)/(-198). Let x = i - 26662. Calculate the common denominator of x and k.
154
Let k = -2 - -6. Suppose 0 = -k*t - 3*u + 17, -2*t + 3*u = -0*t + 5. What is the lowest common multiple of t and 10?
10
Let j = 2/721 - -9355/6489. What is the common denominator of 2/(-7) + (-201)/56 and j?
72
Let z = 11 - 4. Calculate the lowest common multiple of 1 and z.
7
Let l = -551/286 + -11/13. Let d be (412/22)/((-68)/(-49)). Let s = d - -1/187. Find the common denominator of l and s.
22
Find the common denominator of ((-12)/(-160))/((-3)/206) and 107/18.
180
Let y = -4 - 4. Let a(x) = x**3 + 8*x**2. Let g be a(y). Let z = 9 + g. Calculate the least common multiple of z and 4.
36
Suppose -2*s = -17 - 7. Calculate the least common multiple of s and 4.
12
Let l be (-8)/(-24)*(-1 - -1). Suppose 2*z = -l*z + 14. What is the lowest common multiple of z and 3?
21
Suppose -4*s + 4*f + 32 = 0, 4*s + 2*f = 12 + 8. What is the smallest common multiple of 4 and s?
12
What is the common denominator of 162/(-30) + -4 - 2 and 47/4?
20
Let s be 7 - (-3 + 1 + 0). Suppose 0*g - 30 = 3*h + 3*g, 3*g = 6. What is the smallest common multiple of 16/h*s/(-2) and 8?
24
Suppose 21 - 3 = 3*o. What is the least common multiple of 1 and (-2)/((0 + -3)/o)?
4
Let k = -12791/18 - -3127/9. Let s = k + 17339/48. Calculate the common denominator of 19/6 and s.
48
Let q(l) = -l + 10. Let p be q(8). Suppose v - 6 = -p*v. Suppose -v*k = 2*k - 24. Calculate the least common multiple of k and 1.
6
Let w = -927/16 - -12689/240. Find the common denominator of -18/5 and w.
15
Let y = 195603/16 - 12221. Find the common denominator of y and (6/20)/((-12)/214).
80
Let u be ((-813)/30)/((-1018)/(-111)). Let t = u - -5/1018. Let w = -277/210 + -648/35. What is the common denominator of t and w?
60
Let q = 5 - 1. Suppose q*l = -4*j + 2*j + 18, -3*l + 3*j + 9 = 0. What is the smallest common multiple of l and 6?
12
Suppose 13 - 49 = -3*c. Suppose -4*l = -l - 3. What is the least common multiple of c and 5/l - (-5 - -8)?
12
Find the common denominator of ((-515)/(-15))/(-1 + 3) and -19.
6
Let m(b) = b**2 + 2*b. Let q be m(-2). Suppose 0 = 2*x - q - 8. Let z(y) = y**2 - 3*y. What is the smallest common multiple of z(6) and x?
36
Suppose 13 = 4*k + 5. Suppose -5*c + k*c = 3. Calculate the common denominator of c/3 + (-668)/48 and -27/16.
16
Suppose 0*j - 20 = -2*j. Calculate the smallest common multiple of 10 and j.
10
Let o = -1148/3 - -377. What is the common denominator of o and 46/11?
33
Let n = -697/462 - -2/231. Calculate the common denominator of n and -17/7.
14
Suppose 4*v - h - 11 = 0, 2*v = -v - 3*h - 3. Suppose -v*q + 49 = -5*u + 127, u = 5*q + 11. Calculate the common denominator of u/18*117/(-6) and -39/10.
30
Suppose 10*n - 13*n = -30. Calculate the smallest common multiple of n and 5.
10
Let j = -13 + 19. What is the smallest common multiple of j and (-2 + 12)/(0 - -1)?
30
Let c = 14 - 8. Calculate the least common multiple of c and 4.
12
Suppose -k - 3 = -0*k. Let m = -3 - 6. What is the lowest common multiple of -1 - (-1)/(k/m) and 20?
20
Let d = 1797 + -23199/13. Let l = 973/52 - d. Find the common denominator of l and -15/8.
8
Let b(v) = 3*v**2 + 8*v + 5. Let j be b(-8). Let h = 2407/18 - j. What is the common denominator of h and 133/18?
18
Let m = -40 - -41. What is the lowest common multiple of 1 and m?
1
Suppose -w - 5*m = -0*w - 22, -5*w + 54 = -3*m. What is the lowest common multiple of w and 14?
84
Let x be -4 + 0 + 2 + 4. Find the common denominator of 5/22 and (x + (-197)/(-8))/(-3).
88
Let n = -58 + 80. Calculate the least common multiple of n and 4.
44
Let n = -38 - 28. Let o = -106 - n. What is the least common multiple of 2 and o/(-6) + 2/(-3)?
6
Let d(a) be the second derivative of -a**3/2 - 3*a**2/2 + a. Calculate the lowest common multiple of d(-7) and 10.
90
Let y be ((0/(-2))/(-1))/(-2). Suppose -4359 = 3*z + 3*m, y = -5*z - 5*m + 2*m - 7259. Let h = z - -20289/14. What is the common denominator of -99/10 and h?
70
Let p = -6300 + 37951/6. Find the common denominator of 71/8 and p.
24
What is the smallest common multiple of 9 and 18/(5/6 - (-2)/12)?
18
Let p be (15/21)/(2/(-886)). Let t = p - -26195/84. What is the common denominator of -67/8 and t?
24
Suppose 1 + 8 = y. What is the smallest common multiple of y and 3?
9
Let u = 27 + -32. Let l(v) be the first derivative of -v**3/3 - 3*v**2 + v - 1. What is the least common multiple of l(u) and 2?
6
Let c = 328 + -601. Let l be -3 + c/(-5 + 2). | {
"pile_set_name": "DM Mathematics"
} |
are the prime factors of 1105?
5, 13, 17
List the prime factors of 63919.
41, 1559
What are the prime factors of 28852?
2, 7213
What are the prime factors of 4607?
17, 271
What are the prime factors of 109536?
2, 3, 7, 163
List the prime factors of 500.
2, 5
What are the prime factors of 12196?
2, 3049
List the prime factors of 433.
433
What are the prime factors of 3000?
2, 3, 5
What are the prime factors of 2072?
2, 7, 37
List the prime factors of 746.
2, 373
What are the prime factors of 1275?
3, 5, 17
What are the prime factors of 11927?
11927
List the prime factors of 52417.
23, 43, 53
What are the prime factors of 2406?
2, 3, 401
What are the prime factors of 594?
2, 3, 11
What are the prime factors of 9005?
5, 1801
List the prime factors of 1739.
37, 47
List the prime factors of 25989.
3, 8663
What are the prime factors of 695?
5, 139
List the prime factors of 84400.
2, 5, 211
List the prime factors of 113342.
2, 56671
What are the prime factors of 149467?
137, 1091
What are the prime factors of 47?
47
List the prime factors of 15875.
5, 127
What are the prime factors of 2409?
3, 11, 73
List the prime factors of 8824.
2, 1103
What are the prime factors of 26400?
2, 3, 5, 11
What are the prime factors of 2491?
47, 53
List the prime factors of 81430.
2, 5, 17, 479
List the prime factors of 67100.
2, 5, 11, 61
List the prime factors of 899.
29, 31
List the prime factors of 35934.
2, 3, 53, 113
What are the prime factors of 2015?
5, 13, 31
List the prime factors of 848.
2, 53
What are the prime factors of 59631?
3, 11, 13, 139
List the prime factors of 5515.
5, 1103
List the prime factors of 2859.
3, 953
List the prime factors of 1161.
3, 43
What are the prime factors of 38913?
3, 7, 17, 109
What are the prime factors of 1586?
2, 13, 61
List the prime factors of 46775.
5, 1871
List the prime factors of 32443.
32443
List the prime factors of 4441.
4441
List the prime factors of 65016.
2, 3, 7, 43
What are the prime factors of 14454?
2, 3, 11, 73
What are the prime factors of 841?
29
List the prime factors of 9045.
3, 5, 67
What are the prime factors of 3153?
3, 1051
List the prime factors of 966.
2, 3, 7, 23
What are the prime factors of 413?
7, 59
List the prime factors of 818.
2, 409
List the prime factors of 6397.
6397
What are the prime factors of 64090?
2, 5, 13, 17, 29
List the prime factors of 14024.
2, 1753
What are the prime factors of 2302?
2, 1151
What are the prime factors of 44884?
2, 7, 229
What are the prime factors of 21429?
3, 2381
List the prime factors of 16375.
5, 131
What are the prime factors of 26828?
2, 19, 353
List the prime factors of 9396.
2, 3, 29
What are the prime factors of 15504?
2, 3, 17, 19
List the prime factors of 3152.
2, 197
What are the prime factors of 599?
599
What are the prime factors of 14472?
2, 3, 67
What are the prime factors of 4092?
2, 3, 11, 31
What are the prime factors of 1739?
37, 47
What are the prime factors of 484?
2, 11
List the prime factors of 3296.
2, 103
List the prime factors of 767.
13, 59
List the prime factors of 862.
2, 431
List the prime factors of 4192.
2, 131
What are the prime factors of 88823?
7, 12689
List the prime factors of 1623.
3, 541
List the prime factors of 4985.
5, 997
List the prime factors of 1539.
3, 19
What are the prime factors of 3094?
2, 7, 13, 17
What are the prime factors of 11085?
3, 5, 739
List the prime factors of 9955.
5, 11, 181
List the prime factors of 50206.
2, 13, 1931
What are the prime factors of 7019?
7019
What are the prime factors of 1227?
3, 409
What are the prime factors of 364?
2, 7, 13
List the prime factors of 575.
5, 23
What are the prime factors of 2885?
5, 577
What are the prime factors of 2514?
2, 3, 419
What are the prime factors of 500?
2, 5
What are the prime factors of 14287?
7, 13, 157
List the prime factors of 2838.
2, 3, 11, 43
List the prime factors of 55773.
3, 6197
List the prime factors of 40623.
3, 11, 1231
What are the prime factors of 4118?
2, 29, 71
List the prime factors of 8519.
7, 1217
List the prime factors of 76.
2, 19
What are the prime factors of 685?
5, 137
List the prime factors of 4534.
2, 2267
What are the prime factors of 1556?
2, 389
List the prime factors of 970.
2, 5, 97
What are the prime factors of 870?
2, 3, 5, 29
List the prime factors of 18434.
2, 13, 709
List the prime factors of 2373.
3, 7, 113
What are the prime factors of 9328?
2, 11, 53
What are the prime factors of 11588?
2, 2897
What are the prime factors of 13892?
2, 23, 151
What are the prime factors of 5569?
5569
What are the prime factors of 12203?
12203
List the prime factors of 1472.
2, 23
List the prime factors of 818.
2, 409
List the prime factors of 3084.
2, 3, 257
What are the prime factors of 3247?
17, 191
List the prime factors of 30663.
3, 3407
List the prime factors of 1401.
3, 467
What are the prime factors of 1083?
3, 19
List the prime factors of 18245.
5, 41, 89
What are the prime factors of 221?
13, 17
List the prime factors of 645.
3, 5, 43
What are the prime factors of 1404?
2, 3, 13
List the prime factors of 1435.
5, 7, 41
What are the prime factors of 5929?
7, 11
List the prime factors of 1311.
3, 19, 23
List the prime factors of 698.
2, 349
List the prime factors of 2209.
47
List the prime factors of 1783.
1783
What are the prime factors of 60675?
3, 5, 809
What are the prime factors of 920?
2, 5, 23
What are the prime factors of 1452?
2, 3, 11
List the prime factors of 404.
2, 101
What are the prime factors of 16292?
2, 4073
List the prime factors of 7.
7
List the prime factors of 8902.
2, 4451
What are the prime factors of 431?
431
What are the prime factors of 4669?
7, 23, 29
List the prime factors of 2465.
5, 17, 29
What are the prime factors of 39375?
3, 5, 7
List the prime factors of 1091.
1091
List the prime factors of 149165.
5, 29833
List the prime factors of 8030.
2, 5, 11, 73
List the prime factors of 4581.
3, 509
What are the prime factors of 3229?
3229
What are the prime factors of 4367?
11, 397
What are the prime factors of 4665?
3, 5, 311
What are the prime factors of 16815?
3, 5, 19, 59
What are the prime factors of 19507?
19507
List the prime factors of 25422.
2, 3, 19, 223
What are the prime factors of 23043?
3, 7681
List the prime factors of 78690.
2, 3, 5, 43, 61
List the prime factors of 12018.
2, 3, 2003
What are the prime factors of 2025?
3, 5
List the prime factors of 12770.
2, 5, 1277
List the prime factors of 665.
5, 7, 19
What are the prime factors of 43342?
2, 13, 1667
What are the prime factors of 2936?
2, 367
List the prime factors of 12027.
3, 19, 211
List the prime factors of 710.
2, 5, 71
What are the prime factors of 68?
2, 17
List the prime factors of 62964.
2, 3, 11, 53
List the prime factors of 1112.
2, 139
List the prime factors of 1038.
2, 3, 173
List the prime factors of 2069.
2069
What are the prime factors of 6411?
3, 2137
List the prime factors of 417.
3, 139
What are the prime factors of 5623?
5623
List the prime factors of 4601.
43, 107
What are the prime factors of 1443?
3, 13, 37
What are the prime factors of 56783?
56783
What are the prime factors of 13245?
3, 5, 883
List the prime factors of 1798.
2, 29, 31
List the prime factors of 11776.
2, 23
List the prime factors of 11791.
13, 907
List the prime factors of 109426.
2, 54713
What are the prime factors of 121889?
121889
What are the prime factors of 25480?
2, 5, 7, 13
What are the prime factors of 487?
487
What are the prime factors of 22855?
5, 7, 653
List the prime factors of 36889.
37, 997
List the prime factors of 1059.
3, 353
List the prime factors of 5679.
3, 631
What are the prime factors of 3006?
2, 3, 167
What are the prime factors of 16514?
2, 23, 359
What are the prime factors of 135?
3, 5
What are the prime factors of 766?
2, 383
List the prime factors of 47204.
2, 11801
List the prime factors of 9632.
2, 7, 43
What are the prime factors of 1065?
3, 5, 71
What are the prime factors of 2031?
3, 677
What are the prime factors of 118283?
11, 10753
What are the prime factors of 91002?
2, 3, 29, 523
List the prime factors of 933.
3, 311
List the prime factors of 966.
2, 3, 7, 23
What are the prime factors of 67?
67
What are the prime factors of 43393?
7, 6199
List the prime factors of 115622.
2, 13, 4447 | {
"pile_set_name": "DM Mathematics"
} |
ncreasing order.
-2/3, k, m
Let a be 15/2 + 14 + 198/(-12). Let r = -6 + 4. Sort r, a, 2 in descending order.
a, 2, r
Let m be ((12/(-14))/((-19)/(-399)))/1. Let t = m - -16. Let w = 0 + 1. Put t, 3, w in descending order.
3, w, t
Let f = 2732 + -2731.7. Sort 3, 4, -157, f in increasing order.
-157, f, 3, 4
Let l = 806 + -791. Let i be 3*(l/(-9) + 1). Sort -6, i, 3, 2 in ascending order.
-6, i, 2, 3
Let y = -3308 + 3304. Let x be (-4 - -1) + (2 - 1). Let r be (4/(-4))/(x/10). Put 4, y, r in increasing order.
y, 4, r
Let b(n) = -n**3 + 16*n**2 + 29*n - 231. Let u be b(17). Sort 2, 1, -2, u in descending order.
2, 1, -2, u
Suppose -35 = 25*f - 26*f. Let t be ((f/7)/(-10))/((-6)/(-4)). Let v = -2 + -2. Sort -6, v, t in decreasing order.
t, v, -6
Let t be 3*(8/66)/2. Suppose 0 = -339*q - 385 + 1968 + 112. Put t, -4, q in increasing order.
-4, t, q
Let k = 2341/516 - 55/12. Suppose -4*i = -44*g + 47*g + 27, -3*g - 18 = i. Put g, -3, k in decreasing order.
k, -3, g
Suppose 0 = -2*v + 9*v + 3276. Let s = 913/2 + v. Let l = s + 12. Sort -5/4, l, -0.3.
-5/4, -0.3, l
Let t = 11.8 - -9.3. Let c = 21 - t. Put c, -1, 0 in descending order.
0, c, -1
Let k = 0.10006 + -4.86106. Let p = -0.239 + k. Sort -1/3, p, 1 in increasing order.
p, -1/3, 1
Suppose 0 = -4*p + 2 + 2. Let c(u) = -u**2 - 24*u - 116. Let q be c(-16). Suppose 4*l = 0, -3*a + 15 = -9*l + q*l. Put -3, p, a in decreasing order.
a, p, -3
Let n = 21.076 - 20.3. Let u = 1.29 - n. Let x = u - 0.014. Sort -2, 0.4, x, 1/14 in descending order.
x, 0.4, 1/14, -2
Let a = 17.29 - 22.29. Suppose -k - k = 2. Sort k, 7, a, 2 in descending order.
7, 2, k, a
Let w be (-23 - 4) + 20806/515. Put -4/3, -3, 4/5, w in decreasing order.
w, 4/5, -4/3, -3
Let s = 1661.1 + -1657.1. Let a = 47.58 + -0.58. Let c = a + -47.38. Put c, 0.2, s, 0 in decreasing order.
s, 0.2, 0, c
Let a = 1398/7 - 200. Let o = -19/2 - -12. Put a, o, 12 in ascending order.
a, o, 12
Let r(s) = -s + 1. Let f be r(0). Suppose d - 3*g - 125 = -3*d, 3*d = 3*g + 93. Suppose -50 = -6*x - d. Sort 0, x, 5, f.
0, f, x, 5
Let k(g) = -2*g**2 + 6*g - 4. Let i be k(4). Let w be -3 - (i/6 + (-6)/(-3)). Put w, -2, 2, -6 in decreasing order.
2, -2, w, -6
Let s = -7 + 11. Let o be 23 + 15/(-60)*68. Sort s, -14, o.
-14, s, o
Let x(r) = 14*r + 163. Let o be x(-12). Put o, 3, 2, -58, 5 in increasing order.
-58, o, 2, 3, 5
Let w be 10 - 11 - (6 + (6 - 13)). Sort 55, -1, 3, w, -4 in ascending order.
-4, -1, w, 3, 55
Let g = -4642.6 + 4643. Sort -0.1, 1, g, -2, -0.01.
-2, -0.1, -0.01, g, 1
Let m be ((-8)/(-10))/(2/(-10)). Let q = -7738 - -7742. Put 0, q, m, 3 in descending order.
q, 3, 0, m
Let l = -40.31 + 217.31. Sort 4, -5, 0, -0.5, l.
-5, -0.5, 0, 4, l
Let m = -2.1 + 2. Let a = 72 - 73. Let h = 5.44 + -5.04. Put a, -0.01, m, h in ascending order.
a, m, -0.01, h
Let b = 9.012 - 8.012. Put -0.2, -2/7, 0, -1/4, b in descending order.
b, 0, -0.2, -1/4, -2/7
Suppose -o + 5 = -x, 2*x + 10 = -11*o + 6*o. Let p = -83 - -81. Put o, p, -7 in decreasing order.
o, p, -7
Let b be -4 + (-7)/91 + 81067/39858*2. Sort 2/5, 3, b, -4, 5 in ascending order.
-4, b, 2/5, 3, 5
Let c = -2 + 2.8. Let r = -0.66261 - -0.64261. Put r, 2/7, -1/2, c in increasing order.
-1/2, r, 2/7, c
Let z(v) = 26*v**2 - 205*v - 24. Let j be z(8). Sort -551, j, 5.
-551, j, 5
Let k be 2990/70 + 2/7. Let l be 0/k - 1/(8/3). Sort 0.4, l, -9/7.
-9/7, l, 0.4
Suppose -6*o = 51*o + 145 + 26. Sort -4, -455, -5, o in decreasing order.
o, -4, -5, -455
Let v = 200 - 1601/8. Let m = -14.968 - -15. Let w = m + 0.068. Sort v, 2/7, w in ascending order.
v, w, 2/7
Suppose 2*v + 37 = -5*b, 79 = 3*v - 8*v + b. Let i = v - -29. Suppose 3*s + 5 = 3*m - i, -5 = -m. Put s, 0.3, 2 in descending order.
2, 0.3, s
Let c = -3838 + 3838. Sort 33, -2, c, 3, -4 in decreasing order.
33, 3, c, -2, -4
Suppose r + 16 = 5*x, 242*r - 246*r + 5*x = 4. Put 2, -4, r, 7 in increasing order.
-4, 2, r, 7
Let z = -1.7 - 1.3. Let r = 2 + z. Let n be -2*(-3)/(-8) - -1. Put -5, r, n in decreasing order.
n, r, -5
Let h be (-2 + -2 + 2)*131/(-1310). Let n = -6.3 + 1.3. Let m = -4/5 + 1/5. Sort h, n, m.
n, m, h
Let b = -1352 + 1356. Sort 3, -10, b in descending order.
b, 3, -10
Let z(o) = 14 + 5 - 3*o**2 - 46*o + 0*o**2 - 10*o. Let j be z(-19). Let u(f) = -f - 1. Let q be u(-5). Sort q, j, 5, -2 in increasing order.
-2, j, q, 5
Suppose 0 = -200*n - 171 + 11 - 40. Put n, -113, -2, -0.5 in ascending order.
-113, -2, n, -0.5
Let i = 387 - 392. Suppose c = 1 - 0. Let w = -4 + 8. Put w, c, i, -2 in descending order.
w, c, -2, i
Let f = 762569/8379 + -4446/49. Let x = f - 1/19. Sort x, 7, 0.06 in descending order.
7, x, 0.06
Suppose -7*j + 10*j + 5*n = -9, -3*j - 9 = -n. Sort j, 27, -17 in descending order.
27, j, -17
Let y be (4/(-8))/((-6)/4 - (-9 - -8)). Sort 4, -0.4, y, 2/13, -376 in decreasing order.
4, y, 2/13, -0.4, -376
Let x = 3618.1 - 3658. Put 0.02, -3, x in increasing order.
x, -3, 0.02
Let y be (3 - 162/12)/((-12)/(-32)). Let n(g) = 4*g + 134. Let r be n(y). Put 0, r, -3 in ascending order.
-3, 0, r
Let p = -7798 + 7802. Let g be ((-40)/(-15))/(1/3). Suppose -x + g = -4*i + 2*i, 21 = -5*i + 2*x. Put i, p, -0.3 in increasing order.
i, -0.3, p
Let a = 2 - -2. Let y = -878.0379 + 878. Let g = y - 0.2621. Sort 1, g, -2, a.
-2, g, 1, a
Let l be 2 + -8 + 19 + -17. Let q = -15 - -14. Let n = -4 + q. Put n, l, 2 in descending order.
2, l, n
Suppose -9*j - j = 3*j. Suppose j = -2*r, -r = -4*s - 4*r. Suppose s = -19*t + 3*t + 64. Sort t, 19, 1, -4 in increasing order.
-4, 1, t, 19
Let w = 127083.4 - 127083. Let x = -9 - -14. Put -0.03, 0.1, w, x in descending order.
x, w, 0.1, -0.03
Let b = -0.5 - 0.5. Let w = 109.78 - -0.22. Let r = w - 115. Put -13, r, -1/3, b in decreasing order.
-1/3, b, r, -13
Suppose 4*y + 4*q = -8 - 4, -2*q = 2. Let h be y - (42/35)/((-8)/(-20)). Let w be ((-1)/(-2))/(2/(-10)). Sort w, 0, h in descending order.
0, w, h
Let p(u) be the third derivative of u**5/60 + u**4/6 + u**3 + u**2 + 8*u. Let g be p(-3). Put g, 9, 0, 4 in decreasing order.
9, 4, g, 0
Suppose h = -5*j - 26, -4*h + 0*h = j + 9. Suppose 962 + 585 = 91*s. Put 3, h, s in decreasing order.
s, 3, h
Let v = 19505 + -19504. Let x(a) = a**3 + 7*a**2 + 2*a - 1. Let u be x(-7). Let d = 11 + u. Sort d, 3, v, -1.
d, -1, v, 3
Let f = 7240 - 7486. Put f, -0.1, 0.3, 4 in descending order.
4, 0.3, -0.1, f
Let v be ((-15)/(-25))/(114/(-95)). Put -1.2, 1/37, v in decreasing order.
1/37, v, -1.2
Let d be 6/117*(-4)/20. Let r = 47/1755 - d. Let k = r - -8/27. Sort 3, 2, k.
k, 2, 3
Suppose -55*u + 52*u + 107 = j, -2*u + 34 = -4*j. Put -3, 6/125, u in ascending order.
-3, 6/125, u
Let a = -159 + 158.384. Let h = 0.284 - a. Sort -0.4, h, 0.5, -3 in descending order.
h, 0.5, -0.4, -3
Let x be (-110)/(-11) + (-9)/3. Put 1/2, 0, 0.2, x, 4 in ascending order.
0, 0.2, 1/2, 4, x
Let h = -620 + 355. Let g = h - -272. Sort 1/12, 3, g.
1/12, 3, g
Suppose 4*z + 5*q = -51, -1462*q + 1464*q = -3*z - 26. Sort z, 5067, -5 in decreasing order.
5067, z, -5
Suppose -27 = 5*s + 5*i - 9*i, -s - 15 = 4*i. Let v be (1 + 3 + s)/((-15)/(-10)). Sort v, -2/11, 0.4.
v, -2/11, 0.4
Let v(m) = 2*m**2 - 2*m. Let p(d) = d**3 - 11*d**2 + 31*d + 9. Let w(k) = -p(k) + v(k). Let c be w(10). Put -2, -3, -5, c in increasing order.
c, -5, -3, -2
Suppose 3*b = 3, -y + 9 = -2*b + 7. Put -5, 13, y, 1, -14 in ascending order.
-14, -5, 1, y, 13
Let d be 12/18*(-975)/(-50). Let o be 0/(-2 + (0 - 0)). Sort o, 1, d in ascending order.
o, 1, d
Let j be 50/(-6)*(22464/(-160))/39. Sort 7, -1, j, -4.
-4, -1, 7, j
Let o be 8/14*(64 + -46)/(-36). Suppose 5*l = -3*j - 32, -20 = -l + 5*l + j. Put o, -0.3, l, -6 in ascending order.
-6, l, -0.3, o
Let j(r) = r**3 - 2*r**2 + 3*r - 3. Let u be j(2). Suppose u*n - 41 = -5*a + 70, 5*a + 2*n = 114. Suppose -7*f + f = a. Put -11, -1, f in descending order.
-1, f, -11
Suppose 2*b - 8*b = -p - 89, -5*b + 228 = -3*p. Sort 3, p, 1/4, 3/7 in decreasing order.
3, 3/7, 1/4, p
Let p be (40/(-12))/((-2)/(-3)). Suppose 6*u - 261 = u - 241. Put u, p, -14, -2 in decreasing order.
u, -2, p, -14
Let i(h) = -h**3 + 12*h**2 - 29*h + 8. Let f be i(3). Put 5, -4, -111, f in descending order.
5, f, -4, -111
Let r be (-32)/(-6) - 2/(-3). Suppose 43*b - 42*b - 1743 = -3*z, 2*z = -5*b + 1162. Suppose -573*d = -z*d. P | {
"pile_set_name": "DM Mathematics"
} |
)/21)/((2750/(-525))/110)?
54
What is the value of ((-6)/8)/(111*(-88)/(-468864))?
-36
156/61750*(-380)/(-60)
2/125
What is (-14)/(((-892)/(-669))/(12/3))?
-42
Evaluate (16/(-2))/(((-3124)/(-88))/(-71)).
16
Evaluate (-5)/(-15)*507/(-2197).
-1/13
Calculate 203/(-8729)*(-1849)/(-2).
-43/2
Evaluate (-9)/(-450)*((-405)/18)/(-3)*-5.
-3/4
3*31/4464*-9
-3/16
What is (-1960)/28*146/4380?
-7/3
Calculate (2*(-4)/6)/(324316/8513295).
-35
What is ((-864)/32)/108*112?
-28
What is 42/(-35)*159/(-2385)?
2/25
What is the value of ((-4)/(20/(-7))*5)/(((-451)/121)/41)?
-77
Calculate (61/551745*216)/(12/(-30)).
-4/67
Calculate 10*((-1254)/2926)/(5/14).
-12
Evaluate 24/40*320/(-6336).
-1/33
((-4)/(-96)*2)/(1/(-5)*(-3650)/(-584))
-1/15
What is the value of ((-140)/200*10)/((-98)/14)?
1
Evaluate ((4340/(-1767))/28)/((-10)/24).
4/19
What is (-5)/(-70)*7*66/77?
3/7
What is the value of (7/(-21))/(((-4)/410)/(((-396)/(-15))/(-22)))?
-41
(264/7700)/((-243)/(-675))
2/21
Calculate 6*(-12)/(-3)*72/(-1536)*2.
-9/4
What is (10/32*(-7880)/(-4925))/(-1)?
-1/2
What is 55/(-1584)*9*(-8)/170?
1/68
Calculate (64267448/948)/(-398)*6/14.
-73
((-4)/42)/((-12490)/2754045)
21
What is (-45)/15*(-594)/(-162)?
-11
What is (-1892)/(-4730)*(-15)/(-4)*74/3?
37
What is ((-1)/4)/(-157*(-63)/(-504))?
2/157
What is 36/(288/280)*(-16)/42*18/(-12)?
20
((-86)/(-12))/(18/45*-5)*(-3576)/298
43
What is (3*65/78)/((28/2)/((-32)/8))?
-5/7
Calculate 1/(-28)*(-24)/(-10)*(-15140)/(-13626).
-2/21
What is (91/143)/(78/(-286))*-15?
35
Evaluate ((-12)/(-7))/((-1052898)/57134).
-4/43
What is the value of (1*5*((-12)/(-12))/(12/(-6)))/11?
-5/22
(((56/1)/(-14))/(-2))/((-26)/3)
-3/13
Evaluate (-32)/(-12)*54/(-24)*-39*25/50.
117
((-36)/300)/(861/(-50225))
7
(((-7)/56)/((-11)/22))/((-156)/48)
-1/13
What is 12*(((-3850)/25)/(-22))/(6/((-2)/1))?
-28
What is the value of (((-4)/966)/(1/(-35)))/((-10)/(-12))?
4/23
Evaluate (32*78/(-9984))/(5/(-620)).
31
What is 126/((-1050)/(-25))*32/(-36)?
-8/3
What is 15/20*22592/4942?
24/7
What is (-72)/(((-6)/13)/(240/780))?
48
What is the value of ((-60)/540)/(29/(812/28))?
-1/9
Evaluate 19/(19/4)*13/(-21450)*11.
-2/75
Calculate 18*-20*34/(-1700).
36/5
What is 2425/27742*52/325?
2/143
(174*10/60)/(3/(-42)*7)
-58
What is 801/(-15219)*76/(-4)?
1
What is (3/(-26))/(-2*(-129)/(-516))?
3/13
Calculate 11/3674*(29/203)/(1/28).
2/167
Calculate 3*(10/(-2))/(40/20)*(-13362)/(-3537).
-85/3
What is (60/24)/((-28)/(27664/130))?
-19
Evaluate ((-116332)/2540)/(-229)*(1/20)/(14/(-8)).
-1/175
What is ((212/(-11130))/((-36)/21))/(3/(-6))?
-1/45
What is the value of (((-1398)/3029)/(8/(-520)))/((-3)/24*-2)?
120
(396/(-15))/((-47652)/97470)
54
Evaluate (-8)/(-3)*(-15)/(-88)*186/155.
6/11
What is the value of (-2580)/1806*(-14)/(-30)?
-2/3
Evaluate ((8*-38)/4)/(-84*(-54)/1134).
-19
What is the value of 0/(-25*(-1104)/1200)?
0
What is the value of 506/460*120/55*-5*4/3?
-16
((-1850)/75*198/(-2442))/(4/138)
69
Evaluate 7/13*128/(-224)*26.
-8
Evaluate (1450/19575)/(14/(-13419)).
-71
(61198/5789)/(14/(-49))
-37
((-343)/(-42))/7*(-2160)/(-301140)
2/239
What is (-72)/54*(-1053)/117?
12
Calculate (8/(-12)*(495/35)/(-11))/(158/7189).
39
Calculate (-140)/28*7*(12/4)/3.
-35
What is the value of ((1612/182)/(-31))/(2*2/44)?
-22/7
Calculate ((-588)/(-1274))/((-721)/13390).
-60/7
What is the value of (394/(-2364))/(1/(-24)*10)?
2/5
What is ((-203)/(-49))/(((-348)/203)/(-12))?
29
What is the value of 32*14/(-784)*6/(-3)*(-10)/40?
-2/7
Evaluate (18/(-75))/(12/40)*(-2395)/(-13891).
-4/29
What is ((-10)/(-2))/(364/392*(-98)/(-364))?
20
What is the value of (52/(-78)*-1)/((-1152)/108)?
-1/16
Calculate (-21)/126*(-279)/124*(-1)/(3/(-488)).
61
Calculate (112/20*790/(-948))/((-30)/(-9)*1).
-7/5
What is the value of ((-2604)/11067)/((-28)/(-238))?
-2
1*(-3)/(-9)*(-434)/31*3/2
-7
Calculate (-100)/(1/((-12)/1)*-24).
-50
124550/(-22419)*(-54)/510
10/17
Evaluate (12072/503)/((-70)/(5/1)).
-12/7
What is the value of 6260/(-78876)*-27*8/60?
2/7
What is the value of (-2)/(44/18)*41140/(-24684)?
15/11
What is the value of ((-4875)/(-165))/(-25)*2490/1079?
-30/11
What is the value of ((-40)/(-1152))/(((-66)/110)/(6/(-100)*4))?
1/72
Evaluate ((-200)/(-75))/((112/42)/(-8)).
-8
Calculate (4860/(-1458))/(20/66).
-11
What is ((-28)/(-136))/((-57)/(28101/(-116)))?
7/8
What is (23/(-69))/((-378)/162)?
1/7
What is (-1714)/(-4285)*(-15)/(-63)?
2/21
Evaluate ((-6)/4)/(((-27)/(-5))/((-414)/3450)).
1/30
What is (-61)/((-11529)/(-54))*2?
-4/7
Evaluate 16/((-6720)/(-75))*3*4/45.
1/21
((-3)/(-8))/(2784/341504)
46
What is -2*(-2071)/(-436)*-10?
95
Evaluate (96/300*-35)/(((-2112)/560)/33).
98
Evaluate (-5)/3*(749/321)/((-5)/(-45)).
-35
((-9)/((-189)/196))/(35/(-1350)*-15)
24
What is the value of 32/(-20)*160/(-60)*30/8?
16
What is 25/((-384375)/100)*((-99)/(-22))/(-3)?
2/205
(-5)/9*215109/(-637360)
3/16
Calculate ((6/(-1*2))/((-9816)/(-22086)))/3.
-9/4
(20/5)/((345/23)/(-240))
-64
What is the value of (6552/156)/((2/(-3))/(-1))*54/(-81)?
-42
(-42)/15*1740/(-43848)
1/9
(-3)/(-3*(-1113)/(-63))
3/53
Calculate 11816/2954*37/(-4).
-37
(-6)/(-18)*6726/(-59)*2*3/(-12)
19
((-3)/(-14))/(((-6060)/(-1056))/(-101)*6/15)
-66/7
-15*402/1675*(-4)/6
12/5
What is ((7/(-28))/((-3)/12))/(33/1056)?
32
Evaluate ((65/(-6))/(-65))/(221/(-78)*2).
-1/34
(10/(-7))/(((-14)/(-56))/((-2)/(192/21)))
5/4
What is the value of (3/(-20)*8)/(((-570)/(-975))/(-19))?
39
2/18*(-6)/8*(1782/(-33))/(-54)
-1/12
Evaluate ((-30)/(-84))/(((-4970)/1456)/(-71)).
52/7
Calculate (-2)/4*(-75)/25*60.
90
Evaluate (-630)/(-4212)*9*20/(-50)*2.
-14/13
1/((105/455)/(5/(-65))*(-1)/(-93))
-31
What is the value of 80/(-16)*(4/(-5))/(10*(-5)/(-500))?
40
Evaluate (47476/(-10043))/((-12)/33).
13
Calculate ((-12)/(-15))/(358/3385785*-78).
-97
Calculate (30240/(-6912))/((-10)/(-36))*-4.
63
Evaluate 40/50*10230/248.
33
(2205/4900)/((-126)/(-24))
3/35
What is ((-25)/((-2975)/34))/(14/2303)?
47
Evaluate (7/((-294)/35))/(20120/(-1006)).
1/24
Evaluate ((105/1050)/((-9)/15))/(4/(-1272)).
53
Evaluate 4/5*-1*32472/28864.
-9/10
(-3090)/(-824)*3/(-171)*4
-5/19
(-4150)/830*(-14)/(-4)*2*-1
35
Calculate 390/15*1*(-1)/4*(-204)/(-51).
-26
Evaluate (((-6)/4)/3)/(((-84)/(-462)*-110)/4).
1/10
((-1270)/(-1270))/((-44)/(-2))
1/22
(((-35)/((-875)/30))/((-15)/(-3700)*1))/4
74
What is the value of 3/(-3)*(104*95/152)/((-25)/(-20))?
-52
What is the value of ((131535/(-74))/237)/(10/(-84))?
63
Evaluate ((-55)/(-20))/((-4)/(-24))*(-234)/(-351).
11
Evaluate (((-6042)/(-265))/(-19)*(-15)/(-7))/(1/21).
-54
What is (3/(-3)*(0/(-5))/(-6))/((-78)/39)?
0
(6/(-28)*-34)/((-49224)/28714)
-17/4
Evaluate ((774/19866)/((-12)/14))/(-1*(-5)/(-180)).
18/11
What is the value of ((-8268)/2067)/((-6)/(-20)*8/15)?
-25
Calculate 30/8*((-234)/65)/(-18).
3/4
Evaluate 129/((-126)/(-12)*7*(-34)/119).
-43/7
What is the value of 6*4/(-18)*((-1848441)/(-356))/161?
-43
What is the value of ((-13)/26)/((258/336)/43)?
-28
(((-840)/(-800))/((-14)/(-24)))/(78/360*3)
36/13
Evaluate ((((-24)/3)/(80/(-48)))/((-4)/10))/10.
-6/5
Calculate (((-413)/(-49))/((162/63)/6))/(6/(-36)).
-118
What is the value of 180/3045*3799/524?
3/7
Calculate 9770/(-3908)*((-216)/(-10))/(-6).
9
What is the value of 45*17/255*12?
36
What is (102971/(-242))/(138/(-36))?
111
Calculate (6/(18/6))/(142/(14200/375)).
8/15
Evaluate 168/100*(-22005)/(-10269).
18/5
What is (-6)/((-90)/(-3810)*(-1)/2)*(-54)/216?
-127
Calculate (240/420)/(((19/(665/(-30)))/2)/7).
-28/3
What is the value of 61854/(-99918)*(-18)/(-52)?
-3/14
Calculate -13*((-33060)/(-377))/38.
-30
Calculate 60/185*(-43)/((-2967)/23).
4/37
What is (-25)/10*(-20)/(-75)*(-1)/(-2)*-2?
2/3
((-561)/(-12))/(-11)*16*230/(-184)
85
What is the value of ((-784)/(-24))/(-14)*-12*(-3)/12*1?
-7
(120/90*(-13)/(-4))/(((-598)/390)/(-23))
65
((8/(-36))/2*2)/((19065/(-279))/205)
2/3
What is (44/(-3828))/(3/(144/(-8)))?
2/29
(7/(-56))/((-21)/((-504)/(-165)))
1/55
Evaluate 9/144*-28*2*24/(-4).
21
What is (3816/1507320)/((-1)/10)?
-2/79
(-1352600)/(-20289)*((-27)/12)/3
-50
(-2456)/(-2149)*(-4725)/(-100)
54
Evaluate (((-2)/(-10))/((-212)/530))/(33/2574).
-39
Evaluate (28/(-4032)*-24)/((-2)/((-1392)/4)).
29
What is the value of (182/182)/((-6)/(-2))*(-108)/40?
-9/10
Calculate ((12600/98)/(-45))/(198/63).
-10/11
What is 3825/(-200600)*24/54?
-1/118
-363*658/(-41 | {
"pile_set_name": "DM Mathematics"
} |
reds digit of 502?
5
What is the units digit of 571?
1
What is the units digit of 2844?
4
What is the thousands digit of 19816?
9
What is the units digit of 723?
3
What is the hundreds digit of 12537?
5
What is the thousands digit of 6895?
6
What is the thousands digit of 143704?
3
What is the hundreds digit of 29544?
5
What is the thousands digit of 3918?
3
What is the tens digit of 55602?
0
What is the units digit of 1066?
6
What is the tens digit of 774?
7
What is the hundreds digit of 31713?
7
What is the units digit of 3821?
1
What is the hundreds digit of 1043?
0
What is the units digit of 754?
4
What is the hundreds digit of 17419?
4
What is the tens digit of 40?
4
What is the tens digit of 10133?
3
What is the units digit of 3137?
7
What is the units digit of 275?
5
What is the thousands digit of 116906?
6
What is the tens digit of 458?
5
What is the units digit of 9885?
5
What is the hundreds digit of 1139?
1
What is the tens digit of 157?
5
What is the hundreds digit of 6456?
4
What is the tens digit of 51371?
7
What is the thousands digit of 29401?
9
What is the hundreds digit of 1213?
2
What is the tens digit of 1894?
9
What is the hundreds digit of 179?
1
What is the tens digit of 524?
2
What is the thousands digit of 1777?
1
What is the ten thousands digit of 27844?
2
What is the tens digit of 6274?
7
What is the tens digit of 899?
9
What is the hundreds digit of 23390?
3
What is the tens digit of 1289?
8
What is the ten thousands digit of 60822?
6
What is the units digit of 343?
3
What is the hundreds digit of 2019?
0
What is the thousands digit of 10792?
0
What is the tens digit of 3884?
8
What is the ten thousands digit of 60918?
6
What is the hundreds digit of 801?
8
What is the units digit of 3?
3
What is the units digit of 1184?
4
What is the units digit of 6875?
5
What is the hundreds digit of 4250?
2
What is the hundreds digit of 6022?
0
What is the units digit of 3953?
3
What is the tens digit of 169355?
5
What is the tens digit of 115800?
0
What is the tens digit of 2325?
2
What is the units digit of 298?
8
What is the hundreds digit of 5799?
7
What is the tens digit of 44923?
2
What is the units digit of 17409?
9
What is the units digit of 4140?
0
What is the units digit of 9?
9
What is the ten thousands digit of 76283?
7
What is the ten thousands digit of 14449?
1
What is the units digit of 1889?
9
What is the hundreds digit of 14490?
4
What is the hundreds digit of 18473?
4
What is the hundreds digit of 2000?
0
What is the units digit of 31?
1
What is the thousands digit of 10047?
0
What is the hundreds digit of 285?
2
What is the tens digit of 483?
8
What is the hundreds digit of 3772?
7
What is the tens digit of 30948?
4
What is the units digit of 3901?
1
What is the hundreds digit of 2105?
1
What is the thousands digit of 13539?
3
What is the thousands digit of 8825?
8
What is the tens digit of 8330?
3
What is the hundreds digit of 933?
9
What is the units digit of 400?
0
What is the tens digit of 1696?
9
What is the units digit of 10102?
2
What is the tens digit of 48?
4
What is the units digit of 985?
5
What is the hundreds digit of 651?
6
What is the thousands digit of 1093?
1
What is the thousands digit of 117314?
7
What is the thousands digit of 1402?
1
What is the units digit of 12209?
9
What is the thousands digit of 45308?
5
What is the hundreds digit of 1696?
6
What is the tens digit of 1169?
6
What is the tens digit of 3493?
9
What is the tens digit of 16109?
0
What is the hundreds digit of 21068?
0
What is the units digit of 2603?
3
What is the units digit of 754?
4
What is the thousands digit of 37693?
7
What is the units digit of 4370?
0
What is the tens digit of 47767?
6
What is the tens digit of 52677?
7
What is the units digit of 332?
2
What is the units digit of 6726?
6
What is the units digit of 12543?
3
What is the hundreds digit of 57308?
3
What is the hundreds digit of 56965?
9
What is the thousands digit of 1288?
1
What is the hundreds digit of 7953?
9
What is the thousands digit of 24087?
4
What is the tens digit of 3972?
7
What is the units digit of 671?
1
What is the hundreds digit of 1109?
1
What is the thousands digit of 2889?
2
What is the units digit of 45607?
7
What is the hundreds digit of 92886?
8
What is the hundreds digit of 20637?
6
What is the units digit of 1658?
8
What is the thousands digit of 1865?
1
What is the tens digit of 26176?
7
What is the ten thousands digit of 101851?
0
What is the tens digit of 1101?
0
What is the hundreds digit of 846?
8
What is the tens digit of 4352?
5
What is the hundreds digit of 2119?
1
What is the thousands digit of 6237?
6
What is the tens digit of 157846?
4
What is the units digit of 5036?
6
What is the units digit of 24130?
0
What is the units digit of 162?
2
What is the hundreds digit of 25960?
9
What is the hundreds digit of 5756?
7
What is the thousands digit of 3182?
3
What is the units digit of 7067?
7
What is the thousands digit of 9424?
9
What is the hundreds digit of 2019?
0
What is the hundreds digit of 1272?
2
What is the hundreds digit of 9506?
5
What is the thousands digit of 3549?
3
What is the tens digit of 20436?
3
What is the thousands digit of 30032?
0
What is the hundreds digit of 810?
8
What is the tens digit of 2485?
8
What is the thousands digit of 4126?
4
What is the tens digit of 19509?
0
What is the hundreds digit of 1707?
7
What is the units digit of 488?
8
What is the tens digit of 1288?
8
What is the units digit of 38027?
7
What is the tens digit of 1466?
6
What is the tens digit of 1478?
7
What is the units digit of 1934?
4
What is the ten thousands digit of 90466?
9
What is the ten thousands digit of 14512?
1
What is the hundreds digit of 19802?
8
What is the units digit of 26278?
8
What is the tens digit of 1106?
0
What is the thousands digit of 38487?
8
What is the tens digit of 2917?
1
What is the hundreds digit of 23374?
3
What is the units digit of 7?
7
What is the units digit of 3127?
7
What is the thousands digit of 17687?
7
What is the units digit of 1445?
5
What is the tens digit of 1615?
1
What is the hundreds digit of 1543?
5
What is the thousands digit of 1107?
1
What is the tens digit of 57893?
9
What is the tens digit of 12420?
2
What is the tens digit of 393?
9
What is the tens digit of 387?
8
What is the thousands digit of 4141?
4
What is the units digit of 1809?
9
What is the tens digit of 92454?
5
What is the units digit of 7267?
7
What is the hundreds digit of 890?
8
What is the tens digit of 72891?
9
What is the hundreds digit of 13712?
7
What is the tens digit of 545?
4
What is the units digit of 751?
1
What is the units digit of 1537?
7
What is the units digit of 9462?
2
What is the hundreds digit of 1151?
1
What is the hundreds digit of 3884?
8
What is the hundreds digit of 13449?
4
What is the tens digit of 18533?
3
What is the hundred thousands digit of 133876?
1
What is the hundreds digit of 5844?
8
What is the units digit of 3238?
8
What is the ten thousands digit of 85167?
8
What is the units digit of 1019?
9
What is the hundreds digit of 33999?
9
What is the tens digit of 2516?
1
What is the hundreds digit of 214?
2
What is the tens digit of 45928?
2
What is the units digit of 8155?
5
What is the tens digit of 4065?
6
What is the tens digit of 6006?
0
What is the tens digit of 21124?
2
What is the tens digit of 37001?
0
What is the hundreds digit of 7146?
1
What is the hundreds digit of 9111?
1
What is the tens digit of 21213?
1
What is the thousands digit of 12832?
2
What is the hundreds digit of 862?
8
What is the units digit of 1513?
3
What is the tens digit of 152?
5
What is the tens digit of 1373?
7
What is the units digit of 2676?
6
What is the tens digit of 486?
8
What is the hundreds digit of 4473?
4
What is the thousands digit of 2097?
2
What is the ten thousands digit of 19433?
1
What is the tens digit of 80?
8
What is the units digit of 993?
3
What is the units digit of 3630?
0
What is the tens digit of 1632?
3
What is the thousands digit of 1138?
1
What is the units digit of 7822?
2
What is the units digit of 4847?
7
What is the tens digit of 5092?
9
What is the units digit of 12166?
6
What is the units digit of 187243?
3
What is the hundred thousands digit of 1763 | {
"pile_set_name": "DM Mathematics"
} |
).
953
Let g = -7235 + 14629. List the prime factors of g.
2, 3697
Let m(b) = 147*b**2 - 18*b + 72. What are the prime factors of m(-10)?
2, 3, 7, 89
Let u = 144 + -88. Suppose 4*h - u = 488. List the prime factors of h.
2, 17
Suppose r - 158 = 22. Let x = -256 + 159. Let j = r + x. What are the prime factors of j?
83
Let p = 15955 + -7793. List the prime factors of p.
2, 7, 11, 53
What are the prime factors of 2029*(45/(-180))/(1/(-12))?
3, 2029
Suppose 3*x - 4*l - 23 = -7, 0 = 3*l + 12. Suppose 6*n = 2*n + 20, x = 3*y - n - 250. Let j = -27 + y. List the prime factors of j.
2, 29
Suppose 0*l = 12*l + 60. List the prime factors of 832 + 5 + 7 - l.
3, 283
Let f = -92 + 94. Suppose 4*d - 11*m - 732 = -15*m, -d + 195 = -f*m. List the prime factors of d.
11, 17
Suppose -2*w + y = -21, -3*w - 5*y + 44 = -4*y. Suppose -4*l - 5*x - w = 0, 4*l + 2 = x - 5. List the prime factors of 8/l*(-51)/34.
2, 3
Let d(o) = 14*o + 189 + 12*o + 14*o - 16*o + 10*o. List the prime factors of d(17).
13, 59
Let h(l) = -l**3 - 25*l**2 + 24*l - 48. Suppose 3*q + 42 = -36. Let o be h(q). Suppose -19*r + 195 = -o*r. List the prime factors of r.
13
Let p(g) = 92*g**3 - g**2 - 2*g + 3. Let n be p(1). Suppose 74 - n = -3*s. Suppose -2*l = 2*h - s*h + 240, 0 = -4*h - l + 228. List the prime factors of h.
2, 29
List the prime factors of -2*2 + (-272928)/(-8 - 4).
2, 3, 5, 379
What are the prime factors of 937 + -12 - 1/1*5?
2, 5, 23
Let w(t) be the first derivative of -t**4/4 - 3*t**3 + 10*t**2 + 38. Let p be w(-10). Let l = p - -150. List the prime factors of l.
2, 5
Let q(k) = -k**2 + 5*k + 9. Let i be q(7). Let r(m) = -m**2 - 10*m - 13. Let z be r(i). List the prime factors of ((-261)/z)/(12/(-128)).
2, 29
List the prime factors of -50143*((-1)/(1*(-5)/(-40)) + 7).
41, 1223
List the prime factors of 528128/7 - (144/21 + -6).
2, 7, 17, 317
Suppose 8*a + a = 0. Suppose 27*z - 31*z + 4 = a. Let j = 212 - z. What are the prime factors of j?
211
Let z(l) = 118*l - 594. List the prime factors of z(13).
2, 5, 47
Suppose 36 = 3*n - 27. Suppose -n*u = -15*u. Suppose 3*x - 106 - 185 = u. List the prime factors of x.
97
Let b(f) = 5*f - 25. Let v be b(5). Suppose 3*x - 4*x + 92 = v. Suppose o + 3*m - 41 = x, -2*o + 263 = 5*m. List the prime factors of o.
2, 31
Let p = -48870 + 89548. What are the prime factors of p?
2, 11, 43
What are the prime factors of ((-12)/(-14))/(345/27056050)?
2, 5, 3361
Suppose 0 = 4*z + 10*u - 12*u - 40096, -5*u = -9*z + 90214. What are the prime factors of z?
2, 3, 557
Suppose -5*b = -5*u - 60, 0 = -b - 4*b - 5*u + 60. What are the prime factors of b/(-6)*(-5)/(5/68)?
2, 17
Let p be 62/217 + (-9)/7. List the prime factors of (-5 - -179)*(p - (-8)/6).
2, 29
Let h(q) = 24*q**2 - 9*q + 26. Let s be h(-6). Suppose 3*t - 1531 = s. List the prime factors of t.
3, 5, 11
What are the prime factors of 13082/2 + (-15 - -5)?
3, 7, 311
Let p be 0 + ((-1)/(-3) - 4736/(-111)). Suppose 0 = -p*v + 62*v - 24073. List the prime factors of v.
7, 181
Suppose a + 7*m - 11*m = 0, -2*a = -m - 7. Suppose u + 922 = 4*b - 550, 4*b + a*u = 1452. What are the prime factors of b?
367
Suppose -b + 9445 - 671 - 289 = 0. What are the prime factors of b?
5, 1697
Let m(z) = -z**3 - 29*z**2 + 4. Let f be m(-29). Suppose v + f*b + 22 - 354 = 0, -5*v + 1580 = 4*b. List the prime factors of v.
2, 3, 13
Suppose 0 = -123*u + 109*u + 438060. List the prime factors of u.
2, 3, 5, 7, 149
Let u = 98 - 94. Suppose 2*t - 418 = -u*w, 0*w + 2*w - 207 = t. List the prime factors of w.
2, 13
Suppose -95842 = -2*w + 97952 - 32034. What are the prime factors of w?
2, 3, 5, 337
Let m = 0 - 7. Let h be 0 + (-4120)/(-14) - (-2)/m. Suppose -z + 157 = 3*x, -2*z + 2*x + 2*x = -h. What are the prime factors of z?
151
Suppose 3*n + 3*j = -j + 11, 5*n - 4*j = 29. Suppose -n*q - 4 - 1 = 0. What are the prime factors of (6/4)/(q/50*-5)?
3, 5
Let p = 9406 - 4821. What are the prime factors of p?
5, 7, 131
Let o(q) = q**2 - 9*q + 16. Let s be o(7). Suppose 4*k - c - 20 = 0, -s*c = -k + 3*c + 5. Suppose -3*b = 15, -b = -n + k*n - 1051. List the prime factors of n.
2, 3, 11
Suppose -19*v = -258753 + 32045. What are the prime factors of v?
2, 19, 157
Let g = 2 + 0. Suppose 2*i = g*f - 350 + 24, 5*i - 775 = -5*f. Let d = f - 86. What are the prime factors of d?
73
What are the prime factors of (-6 + (-841720)/(-60))/(4/6)?
2, 13, 809
Suppose i = -6*y + y, -3*y = -3*i. Suppose y = 4*p + 5*x - 1046, p + 4*x - 227 - 40 = 0. Let a = -127 + p. List the prime factors of a.
2, 3, 11
Suppose 3*x = x - 4, 2*x + 22 = 2*h. List the prime factors of 1600/h + (-16)/(-72).
2, 89
Let q = -39881 - -63142. List the prime factors of q.
7, 3323
Suppose 7 = 4*v - 1, 3*x - 4*v + 1508 = 0. Let k = -324 - x. Suppose 3*q - k = 4*j, 0 = 4*q - j + 4*j - 218. List the prime factors of q.
2, 7
What are the prime factors of (6/21 + (-17710)/245)*119/(-2)?
2, 3, 7, 17
Let v(k) = k**3 - 59*k**2 + 70*k - 253. List the prime factors of v(60).
7547
Let v be (-4)/8 - 327/(-6). Let h = v - 50. Suppose 5*i + h*p - 350 = -p, 0 = -3*i + 3*p + 180. What are the prime factors of i?
5, 13
Let z(r) = -184*r**2 - 9*r - r**3 + 39 - 36 + 198*r**2. Suppose -2*i + 31 = 3*f, -2*f + 3 = -f. What are the prime factors of z(i)?
3, 89
Let h(i) = 39*i**3 - 6*i**2 + 10*i - 142. What are the prime factors of h(7)?
3, 4337
Let q = 10860 - 10628. List the prime factors of q.
2, 29
Let r be (-6)/14 + 54/126. Suppose -2*n - 4*l - 50 = l, n + 5*l + 35 = r. Let v = n - -146. What are the prime factors of v?
131
Let l = -1829 + 4674. Let c = -1993 + l. What are the prime factors of c?
2, 3, 71
Let z(i) = 12*i + 31. Suppose 15 = -3*n, o - 21 = -o - 5*n. What are the prime factors of z(o)?
307
Let j be -1*(1 + 3 + -1049) + 2. Suppose -5*k + j = -263. What are the prime factors of k?
2, 131
Suppose -10 = -5*o + 5, -2*q = 4*o - 742. Suppose 13*y - q = 2872. List the prime factors of y.
3, 83
Let y(h) = -h**3 + 50*h**2 - 495*h - 143. What are the prime factors of y(31)?
17, 163
List the prime factors of 1/4 + ((-250185)/(-60) - -12).
2, 3, 17, 41
Let h = 532 + -525. Suppose -389 = -h*w + 3251. What are the prime factors of w?
2, 5, 13
Let y be 2/(-8)*-28 + -7. Suppose t - 669 - 205 = y. What are the prime factors of t?
2, 19, 23
Let i = 415 - 277. Suppose 2*g + 2*u - 336 = 0, 3*g + u - 374 = i. What are the prime factors of g?
2, 43
Let v = -108334 - -169882. What are the prime factors of v?
2, 3, 23, 223
Suppose -55*b - 87803 = -226246 - 115602. What are the prime factors of b?
31, 149
Let m = 36 + 50. Suppose -5*f + 25 = 0, 191 = -2*n + 6*n + 3*f. Let t = m - n. List the prime factors of t.
2, 3, 7
Let f be 1 + -4 - (-5 + 2). Suppose -5*i + 2*g - 80 = f, -5*i + 5*g - 115 = -20. Let q(s) = -3*s - 28. List the prime factors of q(i).
2, 7
Let q = 285 - 140. Let v = q - 101. List the prime factors of v.
2, 11
Suppose -6*o = 83*o - 1161272. List the prime factors of o.
2, 7, 233
Let v be (-3)/4 - (14166/24 - -9). Let r = 1542 + v. What are the prime factors of r?
2, 3, 157
Let i = 1061 + 8579. What are the prime factors of i?
2, 5, 241
Let n(o) = o**2 - 7*o - 34. Let z be n(10). Let i be (2/(-4))/(2/z). Suppose -4*m - i = -41. What are the prime factors of m?
2, 5
Suppose 16507 = 84*c - 36917. What are the prime factors of c?
2, 3, 53
Suppose -104*b + 2904910 - 360533 = -2764615. List the prime factors of b.
2, 3, 709
Suppose -4*l = 2*x - 20, -2*x = -5*x + 4*l. Let s be 1*(1*42 + x) + -4. Let o = 271 - s. What are the prime factors of o?
229
Let z(n) = n**3 + 2*n**2 - 8*n + 9. Let t = 146 - 142. What are the prime factors of z(t)?
73
What are the prime factors of 490/105*7332/7?
2, 13, 47
Let a(t) = 64*t**2 + 40*t - 661. List the prime factors of a(13).
5, 7, 61
Suppose -20*n + 23*n - 279 = 0. Suppose -f = 3*k - 101, 2*f = -4*k + 43 + n. What are the prime factors of k?
3, 11
Suppose -4*l = 5*p - 209, l + 3*p = 4*p + 59. Suppose g = -6*g + l. Let s(u) = u**3 - 6*u**2 - 6*u + 2. What are the prime factors of s(g)?
2, 41
Let l(m) = m**2 - 7*m - 8. Let z be l(-4). Suppose -n = 2*t, -4*n + 15 = -2*n - t. List the prime factors of 2436/z - -2*1/n.
2, 17
Let a(f) = f**3 + 17*f**2 - 5*f - 28. Suppose 293*v = 288*v - 85. List the prime factors of a(v).
3, 19
Suppose -4*a - 5*r + 98337 + 358 = 0, 4 | {
"pile_set_name": "DM Mathematics"
} |
)?
True
Let n be 1*3 - 5/5. Let c(d) = 5*d + 2*d - d**2 - 7 + n*d**2 - 5*d. Is 7 a factor of c(-6)?
False
Suppose 0 = 4*d + d - 0*d. Suppose d = 2*m - 5*k - 29, 0 = 3*m + 5*k - 2*k + 9. Suppose -2*a + 272 = m*a. Is 5 a factor of a?
False
Suppose 12*f = -2924 + 15692. Does 38 divide f?
True
Suppose -5*g + 94 = 79. Suppose g*l + l - 48 = 0. Suppose 3*d = 4*h + 50, 2*h + l = 2. Is d a multiple of 10?
True
Let l(i) = -27*i - 60. Let j be l(-18). Let k = -188 + j. Is 17 a factor of k?
True
Let m be (-10*1)/((-15)/120). Suppose 0 = -81*w + m*w + 315. Is 21 a factor of w?
True
Let m = 548 - 431. Let a = 649 - m. Is a a multiple of 37?
False
Let u(s) = 9*s - 9. Let k be u(1). Suppose 9*h - 52 + 7 = k. Suppose -3*c + 32 = h*w, -w = -2*w + 2*c + 9. Is w even?
False
Let h be (-2 + 3)/(2/(-8)*-2). Let g(f) = 6*f**2 - 2*f + 6. Let j be g(6). Suppose w = -t + j, h*t + t = -5*w + 634. Does 16 divide t?
True
Let l(g) = 8*g**2 + 25*g - 19. Let d be l(-6). Let w = d - 71. Is 12 a factor of w?
True
Does 62 divide 4 + (0 - 0) + -509*(-21 + 7)?
True
Suppose -1213 = p - 10613. Does 200 divide p?
True
Suppose 4*f - 289 = -k, 235 = 3*k - 4*f - 616. Suppose k = 6*d - 45. Does 38 divide d?
False
Let u be (2/18)/((-6)/(-54)). Let f(a) = 6*a**2 + 2*a. Let s be f(u). Let p(r) = -r**3 + 9*r**2 - 8*r + 12. Does 12 divide p(s)?
True
Let s be 4479 + 0/(3 + -5 + 4). Is 33/44 - s/(-12) a multiple of 17?
True
Let b be (4/6)/(14/(-21)). Let m(f) = -308*f + 7. Is 4 a factor of m(b)?
False
Suppose -69*j = -71*j - 2. Is 40 a factor of (j + 2/(-4))*28308/(-63)?
False
Let d(m) = -2*m**3 - 2*m**2 + 8*m + 4. Let w be d(-3). Let c be -3 - ((-1106)/10 - w/40). Suppose 21*r = 22*r - c. Is 27 a factor of r?
True
Suppose -59*j + 12 = -65*j. Is 58 a factor of (-2084)/(-12) - j/6?
True
Let k be (1326/85)/(-2 - (-111)/60). Let s = -19 - k. Does 2 divide s?
False
Let r(h) = 154*h**2 + 201*h - 8. Is r(6) a multiple of 10?
False
Is 17 a factor of 3/(-7) - (-422224)/28?
True
Does 21 divide -108*(1 - 4655/57)?
False
Let y be (1*33)/(1/(16/6)). Let g = 52 - y. Is (-9*g/8)/((-2)/(-4)) a multiple of 24?
False
Let f = 53529 + -36788. Does 101 divide f?
False
Suppose s - 2264 = -s + 1468. Does 6 divide s?
True
Let k(t) be the third derivative of t**5/120 + 43*t**4/24 + 15*t**3/2 - 37*t**2. Let h(x) be the first derivative of k(x). Does 9 divide h(11)?
True
Let j be 4/(-38) - 996/(-76). Let s(q) = -22*q + 21. Let d(c) = -c**2 - 23*c + 22. Let g(o) = -2*d(o) + 3*s(o). Is g(j) a multiple of 27?
False
Let o be 2100/(-55) - (-10)/55. Let b = -72 - o. Is (-4)/b + 11182/34 a multiple of 13?
False
Let u = -56 - -50. Does 7 divide (-1)/(-3) - u/((-72)/(-1004))?
True
Suppose 78*u - 79*u = -16*q + 86012, -3*q - 4*u = -16144. Is q a multiple of 28?
True
Suppose 0 = -4*l + 8*l - k - 22, 13 = 3*l + k. Suppose -l*v + 0*v - 74 = -3*f, -3*f - 4*v + 65 = 0. Suppose 43 = i - f. Does 5 divide i?
False
Suppose -7*g + 50837 = -21963. Is g a multiple of 26?
True
Let c(i) = 160*i**2 - 479*i + 2367. Is c(5) even?
True
Suppose -1394 = -h + 3*q, 49*q + 4192 = 3*h + 45*q. Suppose 4*n = -2*s + 18, -3*s + 33 = 4*n - 6*s. Suppose -h = -8*m - n*m. Is 25 a factor of m?
True
Suppose -2*s - 2472 = -6*s. Let n = s - 363. Is 20 a factor of n?
False
Does 83 divide 2324/((-34)/(-6) - (-350)/(-70))?
True
Let p(h) = -h**2 - 11*h + 26. Let k be p(-8). Is 25 a factor of k*(-4 - 0)*(1 + -2)?
True
Let p = -493 + 493. Is 11 a factor of (-22 - p)/((9 + -11)/74)?
True
Let m be (-2)/(-1)*1 + 0 - 12. Let i be m/(-20) - (-761)/2. Let b = i + -206. Is b a multiple of 26?
False
Let b = -7417 + 7617. Is b a multiple of 20?
True
Let n = 79 - 68. Let c(m) = -m**2 + 18*m + 13. Is 10 a factor of c(n)?
True
Let k = -1541 - -902. Let l = k - -1299. Does 15 divide l?
True
Let x = -20999 - -40293. Is 34 a factor of x?
False
Suppose 369520 = 5679*f - 5656*f + 85079. Does 13 divide f?
False
Let l(k) = 11*k**2 + 55*k - 378. Does 7 divide l(8)?
False
Let m = -18293 - -37091. Does 13 divide m?
True
Suppose -2*p = p - 6, p = -z + 23492. Suppose -z = -19*d - 11*d. Is d a multiple of 11?
False
Suppose 4*k + 2*v - 121476 = 0, -55550 = 5*k - 3*v - 207417. Is 66 a factor of k?
False
Suppose 164816 = 23*o + 43*o - 215344. Is o a multiple of 18?
True
Let n(v) = -11*v - 62. Let g(t) = -20*t - 123. Let a(s) = -3*g(s) + 5*n(s). Let j be a(-11). Suppose -j*q = -8*q + 100. Is q a multiple of 5?
True
Let b(c) = -c**3 - 6*c**2 - 2*c + 7. Let m be b(-5). Let d(s) = s**3 + 8*s**2 + s + 16. Let a be d(m). Is (a - -1)/(2/8) a multiple of 12?
True
Let h = -384 - -390. Is 69 a factor of h/6*7 + 782?
False
Let p(r) = -r**3 - 2*r**2 + 5*r - 2. Let u be (-182)/35 + 4/20. Is p(u) a multiple of 6?
True
Let j(c) = 5*c - 23. Let l be j(21). Let m = l - 96. Does 49 divide (98/8)/(m/(-56))?
True
Suppose 2*y - 5596 = -2*b, 2*y = 4*b - 0*y - 11174. Does 5 divide b?
True
Let c = -323 + 645. Suppose 5*o = 1357 - c. Is 23 a factor of o?
True
Suppose q = -2*q - 0*q. Suppose q = -5*n + 989 - 139. Is (33/(-55))/(168/n + -1) a multiple of 5?
False
Let w be (3 + -205)/(6/57). Let d = -1002 - w. Is d a multiple of 61?
False
Let k = 15 - 31. Let w be -8*(12/k)/3. Suppose 0 = f + 3, -w*q + f = 3*f - 82. Is q a multiple of 16?
False
Let t = 52 - 50. Suppose -3*d + t*d = 3*s - 67, 3 = 3*s. Suppose 0 = 5*c - 356 - d. Does 12 divide c?
True
Let g = -24194 + 24638. Is g a multiple of 37?
True
Let b(t) = -t**3 - t**2 - t + 1. Let q(w) = 4*w**3 - 19*w**2 - 22*w + 34. Let j(a) = -3*b(a) - q(a). Let g be j(23). Does 22 divide 2/g - (-1580)/18?
True
Suppose 2*d + 4*u = 14, -8*u = 5*d - 9*u - 24. Suppose d*w = 3*t + 1930, 2*t + 16 - 26 = 0. Is 10 a factor of w?
False
Let x(b) be the second derivative of b**6/144 + 7*b**5/30 - 4*b**4/3 + 5*b. Let h(f) be the third derivative of x(f). Is h(12) a multiple of 16?
False
Suppose 7*c + 15 = 43. Does 39 divide (1 - 1055/(-20))*c?
False
Let m(i) = -11*i - 33. Let w be (-6 - 27/(-3))*(-46)/6. Does 22 divide m(w)?
True
Suppose -3*h + 7*h + 12 = -3*m, 3*h = -9. Suppose -3*k - k + 20 = 0. Suppose -b + 5 = 3, m = -k*v - 2*b + 764. Is 19 a factor of v?
True
Let g be ((-3)/(-4) - (-17693)/52) + 0. Let r = g - 265. Is r a multiple of 76?
True
Does 36 divide (8350/8)/((-17)/(-680)*5)?
False
Does 6 divide 59370/(-9)*93/(-155)?
False
Let k(c) = 364*c**2 + 26*c - 75. Is k(2) a multiple of 2?
False
Let g be 4/(-5) - (-20)/25. Suppose g = 3*b + 127 - 175. Is b a multiple of 4?
True
Let m be 2 + 1512 - (-2 + 5). Suppose m + 833 = 4*x + 2*l, -3*x - 2*l + 1759 = 0. Does 13 divide x?
True
Let l be 4/(-10)*(-245)/14. Suppose 0 = -l*p + 1241 + 1629. Is p a multiple of 45?
False
Let a(j) = 2*j**3 + 3*j**2 - 9. Let w be a(3). Let l = w - 54. Is 3 a factor of l?
True
Does 11 divide (-32)/2 + 2251550/245?
True
Suppose 0 = -3*n - 679 + 685. Suppose -4*s + d = -2250, n*d = 4*s + 960 - 3212. Does 61 divide s?
False
Let y = 73 + -85. Let c(a) = a**3 + 12*a**2 - 3*a - 18. Let r be c(y). Let d = -11 + r. Is 4 a factor of d?
False
Let x be 2*(10/6)/(4/6). Suppose -k + 12 = -x*k. Is 6 a factor of (k + 39)*6/8?
False
Suppose -2*v + 5*o = -6992, 11*o = 4*v + 8*o - 13956. Does 57 divide v?
False
Let t = -3931 + 4111. Is 4 a factor of t?
True
Let k(s) = -989*s - 3. Let i be k(-1). Suppose -2*o = -19*o + i. Does 3 divide o?
False
Let t(n) = -n**3 - 6*n**2 - 5*n + 4. Let r be -5*(10/(-65) - 45/(-39)). Let m be t(r). Suppose m*q - 3*q = 71. Is 19 a factor of q?
False
Suppose -6*v - 1430 = -16*v. Suppose 28 + v = b. Is b a multiple of 4?
False
Suppose 64 = 3*r + r. Let q be -3*r/(-12) - 2. Suppose -q*o + 0*o + 156 = 0. Does 18 divide o?
False
Is -10494*(20/(-15) - (0 + -1)) a multiple of 22?
True
Suppose -2604 = d + 2*v, -2*d + 4*v - 5232 = -0*v. Let w be d/(-35) - (-9)/21. Is 6 a factor of 3 + (-6 - -2) + -2 + w?
True
Is 7/(28/(-12))*-909 + -1 + 4 a multiple of 65?
True
Let l = -148 - -158. Is 24 a factor of (-1955)/l*(6 + -8)?
False
Let b = 18672 - 6785. Is b a multiple of 47?
False
Let o be (129/6)/(4/8). Let h = -39 + o. Suppose -4*m + 196 = 4*b, 5*m + h*b + 0*b - 246 = 0. Is m a multiple of 18?
False
Let t(n) = 2*n**2 - 53*n. Let v be t(-12). Let p = v - 352. Does 14 divide p?
False
Let f(a) = -7*a - 13. Let u be f(-2). Does 21 divide ((-2 - 3) + 4)/u*-439?
False
Let p be (-18)/15 + ((-6)/(-15))/2. Is 6*9/54*(7 | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from {f: 5, b: 1, k: 5, w: 7, l: 1}?
1/171
Three letters picked without replacement from {q: 10, c: 2, b: 4, s: 1, y: 1}. What is prob of picking 2 b and 1 s?
1/136
Four letters picked without replacement from xnncnmnxnnnnnnnxcxn. What is prob of picking 1 m, 2 x, and 1 n?
6/323
Two letters picked without replacement from {s: 2, j: 7, a: 1}. What is prob of picking 1 s and 1 a?
2/45
Three letters picked without replacement from jzjjzjjjzjj. What is prob of picking 3 j?
56/165
Two letters picked without replacement from {h: 3, p: 4}. Give prob of picking 2 h.
1/7
What is prob of picking 2 n and 1 e when three letters picked without replacement from {e: 1, n: 3}?
3/4
Four letters picked without replacement from awagbgbbbweababeab. Give prob of picking 2 a and 2 w.
1/306
Two letters picked without replacement from {v: 1, m: 2, t: 1, p: 4, f: 1}. What is prob of picking 2 p?
1/6
What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 1, g: 5, z: 12, s: 1}?
5/171
Four letters picked without replacement from {m: 2, n: 6}. Give prob of picking 4 n.
3/14
Calculate prob of picking 1 h and 1 p when two letters picked without replacement from nuuppnnpnnunppnhunpp.
7/190
Calculate prob of picking 4 j when four letters picked without replacement from wjwjwjjjwwwwjwjw.
1/52
What is prob of picking 2 o when two letters picked without replacement from oopclccmmvpmvlm?
1/105
What is prob of picking 1 s, 1 b, and 1 j when three letters picked without replacement from jbsjsjbjbbjjssj?
16/65
Calculate prob of picking 2 i and 2 t when four letters picked without replacement from iitttiitiitiitit.
27/65
Three letters picked without replacement from mcxcxxccxxmx. What is prob of picking 3 x?
1/11
Two letters picked without replacement from {b: 1, z: 10, x: 6}. What is prob of picking 1 x and 1 z?
15/34
Two letters picked without replacement from lyyyppllylpylyllp. What is prob of picking 1 y and 1 p?
3/17
Two letters picked without replacement from {y: 14, b: 2, q: 2, c: 1}. What is prob of picking 1 c and 1 y?
14/171
Calculate prob of picking 2 p, 1 d, and 1 k when four letters picked without replacement from {p: 2, d: 9, k: 1, z: 2}.
9/1001
Two letters picked without replacement from {b: 2, s: 2, o: 1, w: 4}. What is prob of picking 1 w and 1 s?
2/9
What is prob of picking 2 f and 1 e when three letters picked without replacement from ffeeeefeeefeeefeef?
15/68
Three letters picked without replacement from javvnnnajevjnnaaannn. What is prob of picking 2 a and 1 j?
1/38
Three letters picked without replacement from {t: 1, e: 5, p: 1, q: 2, s: 1}. Give prob of picking 3 e.
1/12
Calculate prob of picking 3 d when three letters picked without replacement from {v: 2, d: 3}.
1/10
Calculate prob of picking 2 z when two letters picked without replacement from jjzjazj.
1/21
Four letters picked without replacement from {d: 13, m: 6}. What is prob of picking 4 d?
715/3876
Three letters picked without replacement from {u: 3, g: 1}. What is prob of picking 1 g and 2 u?
3/4
Calculate prob of picking 1 b, 1 c, and 1 v when three letters picked without replacement from {v: 3, i: 2, q: 2, o: 4, c: 1, b: 3}.
9/455
Two letters picked without replacement from {f: 3, p: 3, w: 1, m: 1, l: 2, z: 9}. Give prob of picking 1 p and 1 l.
2/57
What is prob of picking 2 f and 1 x when three letters picked without replacement from {x: 2, f: 4}?
3/5
Three letters picked without replacement from kid. Give prob of picking 1 d and 2 i.
0
What is prob of picking 3 z when three letters picked without replacement from zzzgzgzzzzzzzzzzgzzz?
34/57
Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {x: 2, j: 6}.
3/28
Two letters picked without replacement from dddodddooddd. Give prob of picking 1 d and 1 o.
9/22
Three letters picked without replacement from pbpvpebbbsptp. Give prob of picking 1 e and 2 v.
0
Three letters picked without replacement from {j: 2, m: 5, w: 5, b: 7}. What is prob of picking 2 w and 1 m?
50/969
Calculate prob of picking 1 v, 2 d, and 1 w when four letters picked without replacement from {w: 2, d: 2, v: 4}.
4/35
Three letters picked without replacement from {s: 1, z: 1, u: 3, b: 1, q: 3, t: 2}. What is prob of picking 1 u and 2 q?
3/55
Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnnn.
1
Four letters picked without replacement from {u: 2, q: 9}. Give prob of picking 1 u and 3 q.
28/55
Calculate prob of picking 2 x and 1 s when three letters picked without replacement from {s: 1, h: 1, x: 5, j: 1, e: 2}.
1/12
Four letters picked without replacement from {s: 2, f: 5}. What is prob of picking 4 f?
1/7
Four letters picked without replacement from {x: 1, g: 2, m: 2, k: 6}. Give prob of picking 1 x and 3 k.
2/33
Two letters picked without replacement from {y: 2, g: 3, m: 3}. Give prob of picking 1 g and 1 m.
9/28
Four letters picked without replacement from aaaaaaxraraaaraarraa. What is prob of picking 1 x, 1 a, and 2 r?
28/969
What is prob of picking 1 j, 1 c, and 1 t when three letters picked without replacement from tjwwcj?
1/10
Four letters picked without replacement from uuuuuumuuuuumum. What is prob of picking 3 u and 1 m?
44/91
Two letters picked without replacement from {e: 3, o: 2, u: 1, c: 3, b: 2, t: 3}. What is prob of picking 1 b and 1 u?
2/91
Calculate prob of picking 3 g when three letters picked without replacement from {g: 12, t: 3}.
44/91
Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 15, f: 5}.
15/38
What is prob of picking 1 r and 1 s when two letters picked without replacement from rwsswwwqssrusrqssw?
7/51
Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {y: 2, d: 1, z: 2, r: 2, u: 1, s: 1}.
1/9
Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {m: 3, g: 1, z: 6, u: 2, t: 6}.
15/136
Calculate prob of picking 3 e when three letters picked without replacement from eeeee.
1
Two letters picked without replacement from gogoo. What is prob of picking 2 o?
3/10
Two letters picked without replacement from {d: 2, o: 9}. Give prob of picking 2 o.
36/55
Calculate prob of picking 1 u, 1 z, and 1 d when three letters picked without replacement from mputdmztzmmmddmmm.
3/340
Calculate prob of picking 2 r and 2 v when four letters picked without replacement from tvtudnunvvuvvtvtrn.
0
Four letters picked without replacement from {f: 3, y: 6, g: 1, e: 3, z: 1}. What is prob of picking 1 e, 1 g, 1 y, and 1 z?
18/1001
What is prob of picking 1 p and 2 s when three letters picked without replacement from rxxpxxxlxllslxxsx?
1/680
Four letters picked without replacement from yyyyy. Give prob of picking 4 y.
1
Calculate prob of picking 2 j when two letters picked without replacement from {e: 1, c: 1, j: 18}.
153/190
Calculate prob of picking 2 u, 1 o, and 1 m when four letters picked without replacement from {u: 2, m: 1, o: 1, v: 1}.
1/5
Calculate prob of picking 2 p, 1 d, and 1 s when four letters picked without replacement from aladppppapsssapps.
3/85
What is prob of picking 2 t and 2 i when four letters picked without replacement from ridtitiidiiiddidddii?
3/323
Calculate prob of picking 2 u and 1 k when three letters picked without replacement from {i: 2, k: 4, u: 3}.
1/7
What is prob of picking 1 q and 2 a when three letters picked without replacement from {a: 2, c: 3, q: 3}?
3/56
Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {q: 1, o: 1, a: 1}.
1/3
Three letters picked without replacement from gvddgodgggvdddovde. Give prob of picking 3 g.
5/408
Two letters picked without replacement from {i: 5, u: 1, v: 1, q: 13}. What is prob of picking 1 i and 1 v?
1/38
Three letters picked without replacement from nbkckky. Give prob of picking 1 c, 1 k, and 1 b.
3/35
Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {p: 1, j: 12, b: 2, z: 2, q: 3}.
11/95
Three letters picked without replacement from ptttpttge. Give prob of picking 1 t, 1 g, and 1 e.
5/84
What is prob of picking 1 s and 1 c when two letters picked without replacement from {s: 1, j: 1, f | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of -2 + 13 + 0 - 5*g**3 + 13*g**3. Let b(x) = -x. Determine b(t(h)).
-24*h**2
Let r(z) = -z**2 + 7*z + 13. Let c be r(9). Let u = 1 - c. Let s(v) = 3 - v**2 + 3 - u. Let b(j) = 7*j. Determine s(b(x)).
-49*x**2
Let n(v) = -9809*v. Let l(k) = -7*k**2 - 3. Give n(l(x)).
68663*x**2 + 29427
Let u(q) = q**2. Let v(m) = 48*m**2 + 518*m. What is v(u(t))?
48*t**4 + 518*t**2
Let j(x) be the second derivative of 6*x**3 - 273*x. Let f(q) = -2*q**2. Give f(j(u)).
-2592*u**2
Let z(p) = -p + 1. Let b(o) = 12*o - 1. Suppose -3*c - 8 = -2*d - 4, c = -2*d + 4. Let n(r) = d*b(r) + 2*z(r). Let m(q) = q. Determine n(m(k)).
22*k
Let u be (4/(-9))/((-42)/189). Let r(s) = -3*s**2 + 3*s**2 - 4*s**2 + u*s**2. Let o(f) = -3*f**2. Determine r(o(z)).
-18*z**4
Let l(m) be the second derivative of -m**3/3 + 3*m**2/2 - 2*m. Let p(s) = 3*s - 2. Let y(k) = -2*l(k) - 3*p(k). Let w(v) = 3*v**2. Give y(w(c)).
-15*c**2
Let f(v) be the second derivative of v**4/3 - 57*v. Let y(c) be the first derivative of 2*c**2 + 2. Determine f(y(p)).
64*p**2
Let o(k) = 10*k**2 + 7*k - 21. Let p(l) = 3*l**2 + 2*l - 6. Let z(r) = -2*o(r) + 7*p(r). Let h(t) = -10*t**2 - 2*t. Determine z(h(i)).
100*i**4 + 40*i**3 + 4*i**2
Let x(h) = -4*h. Let u(d) = -3*d - 20054. Calculate u(x(w)).
12*w - 20054
Let j(h) = h - 5. Let i(w) be the first derivative of -w**3/3 - 169. What is i(j(o))?
-o**2 + 10*o - 25
Let k(o) = -2*o**2. Let i = 34 + -17. Let l(x) = 17*x + 38*x**2 - i*x. What is k(l(j))?
-2888*j**4
Let w(h) = 6*h. Let t(v) = 258*v - 15. Give w(t(d)).
1548*d - 90
Let w(y) be the first derivative of y**4/6 + 5*y + 8. Let b(p) be the first derivative of w(p). Let c(j) = 8*j. Give b(c(z)).
128*z**2
Let x(k) = 30746*k**2. Let i(p) = -2*p. Determine x(i(f)).
122984*f**2
Let j(d) = d. Let z(m) = -44*m - 51*m - 32*m - 56*m. Give j(z(f)).
-183*f
Let t(n) = 4*n**2. Let z(g) = 2*g**2 - 643385. Determine z(t(l)).
32*l**4 - 643385
Let w(p) = -7*p. Let a(x) = 188*x + 3. Let k(u) = 1. Let y(o) = -a(o) + 4*k(o). What is w(y(i))?
1316*i - 7
Let c be ((-8)/(-10))/((-12)/30). Let l(d) = d - 1. Let t(f) = f**2 - 7*f + 7. Let h(v) = c*t(v) - 14*l(v). Let n(q) = -5*q**2 + 15 - 15. What is n(h(m))?
-20*m**4
Let a(p) = 29*p**2 - 3*p + 15. Let i(g) = 260*g**2 - 26*g + 130. Let v(x) = 26*a(x) - 3*i(x). Let o(k) = -6*k**2. Calculate o(v(y)).
-4056*y**4
Let v(q) = 2*q**2. Let h(d) be the third derivative of -17*d**7/2520 + 7*d**4/12 - 19*d**2. Let k(b) be the second derivative of h(b). Determine k(v(p)).
-68*p**4
Let q(m) = 2*m. Let g = -23 - -25. Let t(f) = -15*f**2 + 4*f**g - 6*f**2. Give q(t(p)).
-34*p**2
Let y(w) = -2*w**2 + 3*w + 1. Let d(h) = h**2 - 3*h - 1. Let k(n) = -d(n) - y(n). Let g(s) = 534*s. Give k(g(r)).
285156*r**2
Let z(f) be the second derivative of -f**4/12 - f. Let m(h) = 135*h**2 - 10*h**2 - 50*h**2 - 10*h**2. Give z(m(t)).
-4225*t**4
Let f(z) = -553*z. Let b(v) = -4800*v. What is b(f(q))?
2654400*q
Let u(h) be the third derivative of h**5/12 + 4*h**2 - 29*h. Let z(a) be the first derivative of -7*a**2 - 2. Give z(u(k)).
-70*k**2
Let s(z) = z + 94. Let i(p) = 11*p**2 - 52*p. What is s(i(w))?
11*w**2 - 52*w + 94
Let u(t) be the first derivative of 37*t**2 + 6. Let l(h) be the third derivative of h**4/24 + 33*h**2. Calculate u(l(v)).
74*v
Let r(z) = -3*z. Let j(c) = -3108*c**2 - 2*c. What is j(r(u))?
-27972*u**2 + 6*u
Let b(z) = -983115*z**2. Let o(f) = 3*f**2. Calculate o(b(d)).
2899545309675*d**4
Let u(w) = 51*w**2. Let h(k) = 64*k**2. What is u(h(c))?
208896*c**4
Let a(l) = 2*l**2. Suppose -3*o + 33 = -57. Suppose 3*k + o = 6*k. Let h(v) = -4*v**2 - k*v + 6*v + 4*v. What is h(a(i))?
-16*i**4
Let q(y) = -166*y**2. Let b(g) = 3*g**2 - 7. Calculate b(q(a)).
82668*a**4 - 7
Let q(k) = -2*k**2 + 34. Let u(i) = -22*i**2 + 5. Let z(r) = 34*r**2 - 8. Let l(v) = 8*u(v) + 5*z(v). Determine q(l(s)).
-72*s**4 + 34
Let v(o) = -3*o. Let q(h) be the first derivative of 37 - 1/2*h**2 + 0*h. Give q(v(l)).
3*l
Let i(f) = 22*f - 21*f + 4*f. Let q(b) = 4*b. Calculate i(q(m)).
20*m
Let c(h) = -45*h**2. Let i(w) = -34*w + 3. Determine i(c(t)).
1530*t**2 + 3
Let s(t) = -47*t. Let o(n) = 3451*n - 3 - 3449*n + 3. Determine o(s(q)).
-94*q
Let m(a) = a. Let q be (3/(12/(-16)))/(-4). Let j(f) = 1 - q - 3*f. Give m(j(k)).
-3*k
Let o(q) = -4*q. Let t(f) = 10*f. Let c(h) = 12*o(h) + 5*t(h). Let b(r) = 28*r. Determine b(c(v)).
56*v
Let x = 20 + -15. Suppose 5*n + 5*b - 226 - 119 = 0, -3*n + 231 = -x*b. Let f(h) = 72 - h - n. Let m(u) = -5*u**2. Determine m(f(a)).
-5*a**2
Let o(t) be the second derivative of 0 + 1/6*t**3 + 14*t + 0*t**2. Let j(r) = 4*r**2. Calculate o(j(m)).
4*m**2
Let q(j) = -10686*j. Let n(y) = 2*y**2. Give q(n(t)).
-21372*t**2
Let r(q) = -q. Let p(n) = 15*n**2 + 24*n + 27. Give p(r(i)).
15*i**2 - 24*i + 27
Let r(a) = -3*a**2. Let q(x) = 10*x. Give q(r(d)).
-30*d**2
Let c(y) = 2. Let m(q) = 8*q - 64. Let j(l) = 32*c(l) + m(l). Let v(t) = -7*t. Determine v(j(p)).
-56*p
Let y(u) = 7*u**2. Let b(d) = -5*d - 348 + 176 + 12*d + 176. Give b(y(s)).
49*s**2 + 4
Let l(d) = -176*d - 1. Let m(f) = 1016*f**2 + 1. Give l(m(s)).
-178816*s**2 - 177
Suppose 0 = 8*a - 72 + 40. Let r(x) be the second derivative of a*x + 0*x**2 + 0 - 1/6*x**3. Let h(k) = -2*k**2. What is h(r(y))?
-2*y**2
Let m = 55 + -5. Let u(q) = 26*q + 25*q - m*q. Let l(h) = -3*h. Calculate u(l(f)).
-3*f
Let s(l) = 3*l**2. Let g(w) = -9*w**2 - 21*w + 10. Let y(o) = 2*o**2 + o - 2. Let a(r) = -g(r) - 5*y(r). Calculate a(s(u)).
-9*u**4 + 48*u**2
Let i(g) = 119272*g**2. Let o(t) = -2*t. Determine o(i(u)).
-238544*u**2
Let a(k) = -548*k. Let t(l) = 2*l + 0*l + 10*l - 7*l - 4*l. Calculate t(a(i)).
-548*i
Let t(g) = -19*g. Let b(c) be the third derivative of -23*c**4/24 + 2*c**2 + 16*c. What is t(b(l))?
437*l
Let b(z) = -7*z - 54. Let r(h) = -18*h**2. Determine r(b(w)).
-882*w**2 - 13608*w - 52488
Let d(o) = -13*o**2 - 14. Let r(k) = -629*k**2. What is d(r(l))?
-5143333*l**4 - 14
Let j(k) = -k - 68. Let a(g) = 86*g**2 + g + 1. Give j(a(q)).
-86*q**2 - q - 69
Let u(n) = n. Let a(m) = -52*m - 3. Let s(r) = -6811*r - 392. Let w(o) = 392*a(o) - 3*s(o). What is u(w(p))?
49*p
Let b(y) = -5*y**2. Let p = -15 + 16. Let o(d) be the first derivative of -2 + 4*d**3 + 4*d**3 - p - 9*d**3. What is o(b(n))?
-75*n**4
Let y(r) = -r**2. Let j(g) = 626871*g. What is y(j(i))?
-392967250641*i**2
Suppose 28*v + 3 = 25*v. Let u be v/((-22)/(-6) - 4). Let o(h) = 4*h + u*h - 5*h. Let l(w) = 8*w. Give l(o(m)).
16*m
Let b(m) = -m**2. Suppose 2*o - 2*f + 2 = 0, 6*o - f - 7 = o. Let k(i) = 4*i**o - 8 + 8 + 14*i**2. Determine k(b(c)).
18*c**4
Let r(f) = -9908*f. Let z(n) = 3*n**2 - 47. Give z(r(g)).
294505392*g**2 - 47
Let q(x) be the first derivative of -883*x**2/2 + 559. Let k(a) = -2*a. Determine q(k(c)).
1766*c
Let p(l) = -2*l**3 - l**2 - l - 2. Let m be p(-2). Let f be (-3)/((-9)/(-39))*-1. Let q(t) = 13*t - f*t + m*t. Let h(k) = 2*k**2. Determine q(h(w)).
24*w**2
Let o be (-1 - 2)/(3/(-10)). Let j(k) = 1 - 17*k - o*k + 29*k + 1. Let i(y) = 2*y**2. What is j(i(c))?
4*c**2 + 2
Let t(o) = -2808*o**2 + 27*o - 108. Let s(h) = 216*h**2 - 2*h + 8. Let m(x) = 27*s(x) + 2*t(x). Let y(u) = 2*u**2. Give m(y(l)).
864*l**4
Let y(o) = -2*o**2. Let d(u) = u + 16*u - 5*u. Let k(c) = 23*c. Suppose 3*z - 211 = -229. Let p(q) = z*k(q) + 10*d(q). What is p(y(h))?
36*h**2
Let n(p) = -3*p. Let f(b) = 42*b - 16*b + 62*b - 9*b. Determine f(n(x)).
-237*x
Let v(i) be the second derivative of 13*i**3/6 - 8*i. Let d(w) = 2*w**2 - 12*w**2 + w**2 + 6*w**2. What is d(v(s))?
-507*s**2
Let g(x) = -x**2. Let b(z) = -84115*z**2. Determine b(g(m)).
-84115*m**4
Let o(u) = -565*u**2. Let c(d) = 94*d + 1. Determine c(o(s)).
-53110*s**2 + 1
Suppose 14*p - 13*p = g + 5, -2*g = -5*p + 25. Let o(m) be the third derivative of 1/24*m**4 + 0 + 0*m + g*m**3 - 10*m**2. Let j(y) = 4*y**2. Give o(j(k)).
4*k**2
Let q(v) = 19*v. Let f(c) = -25*c**2 + 49*c**2 - 27*c**2. What is q(f(w))?
-57*w**2
Let z(l) = 8682*l - 3. Let s(k) = k**2. Calculate s(z(f)).
75377124*f**2 - 52092*f + 9
Let y(f) = -118*f**2. Let m(c) = -c**2 + 118*c + 5. Calculate m(y(j)).
-13924*j**4 - 13924*j**2 + 5
Let f(u) be the second derivative of 0*u**2 + 0 - u + 3/2*u**3. Let x(t) = t**2. Determine x(f(l)).
81*l**2
Let y(j) = 27*j**2. Let u(o) be the third deriva | {
"pile_set_name": "DM Mathematics"
} |
rivative of -p**5/2 - 7*p**4/12 - 7*p**3/6 + 7*p**2/2 + p - 19. What is 4*f(i) + 14*r(i)?
2*i**3
Let r(l) = l - 1. Let g(o) = 70*o**2 - 83*o + 83. Let n(t) = g(t) - 2*r(t). Let i(x) = 5*x**2 - 6*x + 6. Determine -85*i(f) + 6*n(f).
-5*f**2
Let z(v) = 4*v + 2. Suppose 3*a = -2*k + 2 + 11, -2*a + 12 = 2*k. Let n be 2 + 1 + (-1)/1. Let o be (-5)/3 + n/(-6). Let c(f) = 2*f + 1. Give k*c(q) + o*z(q).
2*q + 1
Let i(c) = 88*c**3 + 110*c**2. Let h(o) = o**3 + o**2. Calculate -110*h(k) + i(k).
-22*k**3
Let m(j) = 20*j**2 + 10*j - 24. Let p(o) = -4*o**2 - 2*o + 5. Determine -3*m(h) - 14*p(h).
-4*h**2 - 2*h + 2
Let j(n) be the second derivative of n**5/4 + n**4/12 - 4*n**2 - n. Suppose -30 = 2*x + 3*x. Let k(u) = 4*u**3 + u**2 - 7. What is x*k(b) + 5*j(b)?
b**3 - b**2 + 2
Let l(o) = 7*o**2. Let t(v) = -99*v**2. Calculate -55*l(p) - 4*t(p).
11*p**2
Let y(b) = -b**2 - 4*b + 4. Suppose -4*w + 6*w = 18. Suppose 3*z - 4 = -2*v + v, -4*v - z = -16. Let j(p) = 3*p**2 + 9*p - 9. Give v*j(u) + w*y(u).
3*u**2
Let s(x) be the first derivative of -2*x**3/3 - x**2 + x - 2. Let t(c) = c - 1. Suppose 0 - 1 = -f + 5*a, -3*a + 1 = f. Calculate f*s(z) + 2*t(z).
-2*z**2 - 1
Let x(h) be the third derivative of h**4/24 - h**3/3 - 52*h**2. Let z(f) = -1. Give -3*x(k) + 4*z(k).
-3*k + 2
Let w(c) = 8*c + 11. Let d be (-4)/(-6) - (-16)/3. Let t(p) = 7*p + 10. Let h(k) = d*t(k) - 5*w(k). Let y(a) = -1. What is h(m) + 5*y(m)?
2*m
Let l(a) = -a - 1. Let d be l(-3). Suppose -d*i + i + 2 = 0. Let q(z) = -2*z + 1. Suppose -5*f + 0*f + 10 = 0. Let m(v) = v - 1. Determine f*q(w) + i*m(w).
-2*w
Let l(q) = -4*q + 1. Let i(f) = 8*f - 1. Calculate 6*i(r) + 11*l(r).
4*r + 5
Let f(s) = 4*s - 110. Let a be f(26). Let h(d) be the third derivative of d**4/6 + d**3 - d**2. Let u(m) = -m - 1. What is a*u(p) - h(p)?
2*p
Let m(x) be the third derivative of x**5/15 + 5*x**4/24 - x**3/2 - 2*x**2. Let h(r) = -5*r**2 - 6*r + 4. Give 5*h(l) + 6*m(l).
-l**2 + 2
Let x(c) = -29*c**3 - 13*c**2 + 13*c. Let y(r) = 7*r**3 + 3*r**2 - 3*r. What is -6*x(n) - 26*y(n)?
-8*n**3
Let u(j) = -5*j - 8. Let o(q) = 6*q + 9. Determine 4*o(d) + 5*u(d).
-d - 4
Let q(m) = -17*m**3 + 13*m + 9. Let z(c) = 4*c**3 - 3*c - 2. Let i be ((-9)/(-18))/(1/(-4)). Calculate i*q(t) - 9*z(t).
-2*t**3 + t
Let r(d) = -3*d - 6. Let q(a) = -a + 2*a + 3 - 2. Let w = 10 - 11. What is w*r(s) - 5*q(s)?
-2*s + 1
Let s(p) = p - 3. Let z(i) = -4 + 2 - 3 + 4. Give -2*s(a) + 9*z(a).
-2*a - 3
Let u(j) = 27*j**2 + 36*j - 36. Let d(g) = -g**2 - g + 1. Give -36*d(i) - u(i).
9*i**2
Let w(x) = 5. Suppose 6 = -3*f - 6. Let b(o) = -o + 6. Give f*w(l) + 3*b(l).
-3*l - 2
Let c(l) = l**3 + l**2 - l - 1. Let u(i) = -i**2 + 3*i + 1. Let n be 1/((-3)/15) + 4. Calculate n*c(o) - u(o).
-o**3 - 2*o
Let y(x) be the first derivative of 2*x**3 - 11. Let h = 5 - 10. Let w = 0 - -1. Let u(i) = i**2. Give h*u(b) + w*y(b).
b**2
Let d(i) = -i. Let j(p) = -12*p + 14. Let c(h) = 4*h - 5. Let k(q) = 17*c(q) + 6*j(q). Calculate 6*d(l) - k(l).
-2*l + 1
Let y(c) = 2*c + 4. Let b = -11 + 18. Suppose 6*x - 4*s + 28 = 2*x, -x + 4*s = b. Let g = 6 - 11. Let h(p) = -3*p - 6. Give g*h(t) + x*y(t).
t + 2
Let j(k) = -k**2. Let w(m) = -20*m + 14. Let s(b) be the third derivative of 7*b**4/24 - 5*b**3/6 - 2*b**2. Let r(v) = 17*s(v) + 6*w(v). What is j(y) - 2*r(y)?
-y**2 + 2*y + 2
Let g(s) = 4*s**2 - 6*s + 7. Let u(y) = -7*y**2 + 11*y - 13. Calculate 11*g(t) + 6*u(t).
2*t**2 - 1
Let n(w) = -5*w**3 - 8*w + 6. Let v(l) = l**2 - 9*l + 6. Let q be v(9). Let o(g) = -6*g + 4*g**3 + 7*g - 5 + 6*g. What is q*o(k) + 5*n(k)?
-k**3 + 2*k
Let p(x) = -x**3 - 4*x**2 - 5*x + 4. Let y(a) = 2*a**3 + 11*a**2 + 15*a - 11. Calculate 11*p(k) + 4*y(k).
-3*k**3 + 5*k
Let v(m) = 1. Let k(d) = 30*d**2 + 15. Determine k(t) - 15*v(t).
30*t**2
Let b(w) = 11*w - 4*w - 6*w - 3 + 2. Let h(v) = -2*v + 1. Determine -3*b(u) - 2*h(u).
u + 1
Let b be (-2 - 2)*(1 - 0). Let w(d) = 2*d**3 + d**2 - 4*d + 4. Let m(f) = 2*f**3 + f**2 - 5*f + 5. Give b*m(z) + 5*w(z).
2*z**3 + z**2
Let c(f) = -4*f - 1. Suppose -2*m - 2 - 4 = 0. Let p(v) = -27*v - 17. Let t(y) = -13*y - 8. Let x(i) = 6*p(i) - 13*t(i). What is m*x(o) - 5*c(o)?
-o - 1
Let f(c) = 2*c**3 + 7*c**2 - 7*c + 4. Let g be (6/14)/((-5)/(-35)). Let o(i) = -i**3 - 3*i**2 + 3*i - 2. What is g*f(u) + 7*o(u)?
-u**3 - 2
Let y(h) = 57*h**3 - 11*h**2 - 11*h - 11. Let k(w) = 19*w**3 - 4*w**2 - 4*w - 4. Give 11*k(n) - 4*y(n).
-19*n**3
Let d(x) = -x - 1. Let a(j) = -5*j - 8. Let n(b) = 6*b. Let v be n(2). Suppose 3*s + v = -6. Suppose 2*q - 3 = -q. Give q*a(u) + s*d(u).
u - 2
Let s(n) = -2*n**2 - n - 1. Let t(y) = 3*y**2 - y**2 - 2 - 6*y**2 - 2*y. Let d = -184 + 197. Let h(v) = -2*v**2 - v. Let o be h(-2). What is d*s(m) + o*t(m)?
-2*m**2 - m - 1
Let d(h) = -4*h**2 + 1. Suppose 1 = -2*k - 5. Let t(y) = -3*y**2 - y. Determine k*t(f) + 2*d(f).
f**2 + 3*f + 2
Let u(m) = 2*m**2 - 2. Let j(p) be the third derivative of -2*p**5/15 + 3*p**3/2 + 6*p**2. Calculate -2*j(t) - 9*u(t).
-2*t**2
Let l(i) = 2*i**3 + 6*i**2 - 4*i - 2. Let x(p) = -3*p - p + 2*p + p + p**2 - 1. Suppose 0*d + 3*d + 7 = -4*q, 5*d = q + 19. Give q*x(c) + l(c).
2*c**3 + 2*c**2 + 2
Let b(s) = 41*s**3 + 6*s - 6. Let x(r) = -575*r**3 - 85*r + 85. Determine 85*b(m) + 6*x(m).
35*m**3
Let d(n) be the second derivative of -4*n**3/3 - 7*n**2 - n. Let p(u) = 1. Let f(i) = d(i) + 8*p(i). Let b(c) = 7*c + 5. Determine 7*b(t) + 6*f(t).
t - 1
Let c(b) = -9*b**3 + 3*b - 2. Let s(o) = 4*o**3 - o + 1. Let k = 3 - 0. Determine k*c(h) + 7*s(h).
h**3 + 2*h + 1
Suppose 4*u - 21 + 5 = 0. Suppose u*t - 3*o = 6 - 17, -4*o = 3*t - 23. Let z(j) = j + 1. Let g(d) = 5*d + 3. Give t*g(p) - 4*z(p).
p - 1
Let p(h) = -3*h**3 + 2*h**2 + 2*h - 1. Let t(f) be the second derivative of -7*f**5/20 + f**4/3 + 5*f**3/6 - f**2 + 6*f. Determine 5*p(x) - 2*t(x).
-x**3 + 2*x**2 - 1
Let t(r) = -r**3 + 3*r**2 - r + 4. Let w(o) = 2*o**3 - 7*o**2 + 3*o - 9. Give 9*t(k) + 4*w(k).
-k**3 - k**2 + 3*k
Let q(z) = 2*z. Let c(v) = -v. Suppose -5*t = 6 - 31. Let a = 3 + 0. Let m be (-1 + 2)/(a/24). Calculate m*c(k) + t*q(k).
2*k
Let j(h) = -3*h - 2. Let i(m) = 55*m + 42. Let v(l) = 138*l + 105. Let r(t) = 12*i(t) - 5*v(t). Determine -21*j(q) + 2*r(q).
3*q
Let q(s) = -3*s**2 - 4*s - 2. Let j(g) = g**3 - 5*g**2 - 7*g - 4. Give -3*j(l) + 5*q(l).
-3*l**3 + l + 2
Let w = -1 + 4. Let o(u) = -3*u + 3. Let t(b) = -13*b + 13. Let k(m) = 9*m - 9. Let d(r) = 7*k(r) + 5*t(r). Calculate w*o(y) - 4*d(y).
-y + 1
Let b(u) = 5*u**2 + 3 - 5 - 2*u + u. Let n(o) = 6*o**2 - 2*o - 2. Give -4*b(r) + 3*n(r).
-2*r**2 - 2*r + 2
Let z(u) be the second derivative of -u**3/3 - 7*u**2/2 - 7*u. Let y(q) = 3*q + 8. What is 3*y(i) + 4*z(i)?
i - 4
Let z be ((-12)/(-4))/(6/4). Let a(f) = -2 + 1 + 2 + z*f**2 + 0 + 5*f. Let s(p) = p**2 + 2*p. What is -2*a(t) + 5*s(t)?
t**2 - 2
Let u(b) = 8*b**2 - 1. Let m(t) = -7*t**2 + 1. Determine -7*m(f) - 6*u(f).
f**2 - 1
Let b(o) = -o**3 - o**2 + o - 1. Let i be b(-2). Let j(y) = -y**2 - 2*y - 1. Let f(k) = k + 1. Determine i*j(v) + 2*f(v).
-v**2 + 1
Let m(s) = 1. Let f = -7 - -10. Suppose 3 = f*g - 3. Let c(o) = -o + 3. Give g*c(z) - 6*m(z).
-2*z
Let x(a) = -7*a**2 + 7*a + 4. Let c(z) = -6*z**2 + 6*z + 3. Give 5*c(s) - 4*x(s).
-2*s**2 + 2*s - 1
Let j(c) be the first derivative of -3*c**4/4 + c**3 + c**2 + 2*c - 8. Let x(b) = -b**3 + b**2 + b + 1. Determine -j(n) + 2*x(n).
n**3 - n**2
Suppose 4 = 5*q - 41. Let v(w) = w**2 + 4*w - 4. Let o(g) = -2*g**2 - 9*g + 9. Suppose -11*x = -14*x - 63. Let b = -17 - x. Give b*o(u) + q*v(u).
u**2
Let b(j) = 6*j - 19. Let l(y) = 4*y - 13. Let r = 26 - 33. Calculate r*l(c) + 5*b(c).
2*c - 4
Let r(o) = 8*o**2 + 2. Let j(u) be the first derivative of -23*u**3/3 - 6*u - 5. Calculate -6*j(a) - 17*r(a).
2*a**2 + 2
Let g(u) = 6*u**2 - 5*u. Let x(v) = 6*v**2 - 3*v - 2. Let o be x(3). Suppose o = -5*h + 8. Let l(k) = -9*k**2 + 7*k. Determine h*g(m) - 5*l(m).
3*m**2
Let j(t) = -3*t**2 + 2. Let g(l) = 40*l + 12*l**2 - 3 - 6 - 39*l. Give 2*g(s) + 9*j(s).
-3*s**2 + 2*s
Let u(d) = 3*d**2. Let b(h) be the first derivative of 2*h**3/3 + 2. Calculate 7*b(g) - 5*u(g).
-g**2
Let c(k) be the third derivative of -k**4/24 + k**3/6 - 22*k**2. Let j(x) = x - 14. Let h be j(11). Let g(m) = 3*m**3 - 3*m + 3. Determine h*c(o) + g(o).
3*o**3
Let m(r) = r**2 - 5*r - 5. Let | {
"pile_set_name": "DM Mathematics"
} |
, u?
-1
Let g = 0.6 + -0.5. Let j be (1*-1)/(7 + -8). Let i be (27/15)/(-3)*j. Which is the second smallest value? (a) g (b) i (c) -3
b
Let n = -0.8 + 0. Let s = n - -0.4. Let f = 6 + -8. What is the smallest value in s, f, 0?
f
Let q be (6/46)/(20/(-8)). Let h = q + -128/1955. Let y = 3 + -3.4. What is the third biggest value in -2, h, y?
-2
Let l = -34 - -33. Which is the fourth smallest value? (a) 2 (b) -11 (c) 0.1 (d) l
a
Let n = 5 - 6. Let j = n + 1.5. What is the biggest value in -0.2, j, 0.1?
j
Let x = 2.01 + -1.9. Let h = 0.14 - x. Which is the second smallest value? (a) h (b) 3 (c) 0.4
c
Let l = 108 - 93.2. Let u = 15 - l. Which is the smallest value? (a) 9 (b) u (c) -0.2
c
Let i = 12.45 + -12. Let b = 34.05 - 34. Let g = i - b. What is the second biggest value in 2, 1, g?
1
Let z be (-8)/(-2) + 2 + -2. Let i = -0.2 - 0.5. Let n = -3.3 + i. What is the smallest value in z, 1, n?
n
Let t = 44 - 30. Let o = t - 14.2. What is the second biggest value in 0.2, -3, o?
o
Let a be (-21)/52 + (-2)/(-56)*7. Let q(m) = -m + 3. Let p be q(0). What is the second smallest value in p, a, 5?
p
Suppose -5*w + 0*w = -15. Which is the biggest value? (a) w (b) 6 (c) -0.4
b
Let o be (2/6)/((-8)/12). Let l = 6.1 - 1.1. What is the smallest value in -3, o, l?
-3
Let f(v) = -v**3 - 2*v**2 + 5*v + 4. Let q be f(-3). Let g be 1*(3/2 - 2). Let w = 29 + -28.7. Which is the second biggest value? (a) w (b) q (c) g
c
Let i = -0.514 + 0.114. Which is the third smallest value? (a) -0.3 (b) i (c) -2 (d) -2/11
a
Let p = -0.45 - -0.05. Let b be 6 - 2/(-6)*0. Let t be 2 - (b/21 - -2). What is the third biggest value in t, 2, p?
p
Let n = 12 - 17. Which is the third smallest value? (a) 5 (b) -2/5 (c) n
a
Let w = -1.1 + -1.3. Let z = -7.6 + w. Let f = -8 - z. Which is the smallest value? (a) f (b) 4/7 (c) -1/3
c
Let w be (-1)/(-12)*45/10. What is the fourth biggest value in -5/3, 3, -4/7, w?
-5/3
Let q = 7 - 4. Let w(n) = n**3 + n - 3. Let v be w(0). Which is the second biggest value? (a) q (b) 1/2 (c) v
b
Let m = 0.56 - 0.27. Let a = -0.01 - m. What is the biggest value in -1/7, 2/5, a?
2/5
Let u(d) = d**2 + 11*d + 8. Let w be u(-10). What is the second biggest value in 1/7, -4, w?
w
Let m be (0 - (-3)/(-5))*(-15)/18. Which is the third biggest value? (a) 5 (b) 11 (c) m
c
Let l = -4.03 + 0.03. Let j = 9 + l. Which is the biggest value? (a) j (b) -1 (c) 0
a
Let w = -6 + 5.7. Which is the second biggest value? (a) w (b) 3 (c) 2/3
c
Let l = -6.2 + 6.6. Which is the fourth biggest value? (a) 3 (b) -1/3 (c) l (d) 20
b
Let q be (-9)/(-24)*6 + -2. Let w = 4 - 3.5. Which is the smallest value? (a) 0 (b) q (c) w
a
Suppose 3*l = -2*p + 8*l - 15, p + 10 = 3*l. Let r be (-2)/30 + 2/p. What is the second smallest value in -3, r, -0.4?
-0.4
Let o = 1.9 - 1.8. Which is the biggest value? (a) 0.2 (b) o (c) 1/3 (d) 0
c
Suppose 8*o - 2*o = 0. Which is the third biggest value? (a) 4 (b) o (c) -2
c
Let l = -1449/40 + 957473/26280. Let t = 1/73 + l. Let m be 2/4 + 5/(-6). Which is the second biggest value? (a) -4 (b) t (c) m
c
Let w = 262/15 - 81497/4665. Let i = 615/2177 - w. Let f = 0.01 + -4.01. Which is the second smallest value? (a) f (b) 1 (c) i
c
Let i = -16 + 24. Which is the third smallest value? (a) -0.2 (b) 5 (c) i
c
Let x = -12.1 + 12.1. Which is the second biggest value? (a) -15 (b) x (c) 0.2 (d) 5
c
Let j = 33 + -131/4. What is the second biggest value in 0.4, j, -4?
j
Let f be 4 + -4 + 3 + -23. Let i be 10/14*8/f. Which is the second biggest value? (a) i (b) 5 (c) -0.4
a
Let m be 2/(-8) - 169/156. What is the third smallest value in 6, m, 5?
6
Let l(p) = -p + 8. Let j be l(4). What is the third biggest value in -0.3, j, 0.2?
-0.3
Let j be 24 + -25 - (-1 + -3 + 1). Let m = -30/19 + 155/38. Which is the smallest value? (a) 6/11 (b) m (c) j
a
Let k = -7 + 0. Which is the second smallest value? (a) 5 (b) k (c) -1
c
Let y = 0.6 - 0.4. Let x = 6 + -11. Let u = x + 8. Which is the second smallest value? (a) 2 (b) u (c) y
a
Let i be ((-1*2)/(-2))/(-9). Let f = -13/36 - i. Let o = 5.12 + -0.12. Which is the smallest value? (a) o (b) -0.1 (c) f
c
Let p = -3 - -2.8. Let j = -0.3 - p. Suppose 8 = 3*w + 17. What is the biggest value in w, j, 3?
3
Let s be (-2)/(-3)*1/(-2). Let y be (2/(-7))/((-10)/3545). Let d = y - 101. Which is the second smallest value? (a) -1/2 (b) d (c) s
c
Let u = 0.09 + 4.91. Let i = -1 - -7. Let d be (2/(-2))/(3/i). What is the second smallest value in -3/5, d, u?
-3/5
Let p = 8 - 14. Let d = p + 7. Which is the second smallest value? (a) d (b) 0.2 (c) -4/3
b
Suppose -4*m = -3*q - 2 - 17, -7 = 2*q + 3*m. What is the second biggest value in q, 9, 2?
2
Let s = -2/15 + 11/45. Which is the third smallest value? (a) 3 (b) s (c) -0.08
a
Let f be (-28)/(-21)*(-1)/10. Let m = 25/12 - 7/4. Which is the second smallest value? (a) m (b) f (c) 2/9
c
Let x = 4.864 + 0.136. What is the smallest value in x, 0.2, 3, -0.2?
-0.2
Let n = -47 - -36.6. Let x = n - -2. Let i = x + 8. What is the smallest value in -0.1, i, 2?
i
Let w be ((-3)/12*0)/2. Let m = 8 - 13. Which is the second smallest value? (a) w (b) m (c) -0.5
c
Let n = -1.4 - -1.5. Which is the second biggest value? (a) 2/3 (b) 1/2 (c) n
b
Let h = 0.26 - -0.04. Let m = 0 + h. What is the second biggest value in m, -2, 2?
m
Let g = 1/2 + 5/6. Let q = 2 + 0. Which is the smallest value? (a) 4 (b) q (c) g
c
Let o = 35 + -41.2. Let j = -0.16 + -5.84. Let x = j - o. Which is the smallest value? (a) x (b) -1/5 (c) -5
c
Let p = -4/13 + 45/104. Let l = 6.7 + 0.3. Let m = 3 - l. What is the third smallest value in -2/7, p, m?
p
Let h = 1 - 1.3. Which is the second smallest value? (a) -1 (b) h (c) -3
a
Let i(f) = -f**3 + 6*f**2 - f + 6. Let k be i(6). Suppose -4*t + 0*t + 8 = 0. Which is the third biggest value? (a) 0.2 (b) k (c) t
b
Let y be (10/4 - -2)/3. Let q = -0.35 + 0.45. Which is the second biggest value? (a) y (b) -0.5 (c) q
c
Let u be 4 - 2 - (-7)/(-4). What is the biggest value in u, 0.3, -2/9?
0.3
Let p be ((-10)/16)/(1/(-4)). Let a(u) = -u**2 - 9*u. Let w be a(-9). What is the second biggest value in -5, w, p?
w
Let i = 1.1 + 5.6. Let r = 7 - i. Let v = -8 - -6. Which is the third biggest value? (a) v (b) 2 (c) r
a
Let w = -0.9 + -0.1. Let p = -27572610661/4009 + 6877678. Let i = p + -1/211. Which is the third smallest value? (a) i (b) w (c) -1/4
a
Let v = 5 - 2. Let l = v + -2. Let s = l - -2. What is the biggest value in s, 0, -0.4?
s
Let l = 1.8 - 0.4. Let f = -1.5 + l. Which is the second smallest value? (a) f (b) -4 (c) 5/4
a
Let b be (-5)/15*(3 - 0). Let u be (b/2)/(4/(-32)). Let s = 648/5 + -130. What is the third biggest value in 5/3, s, u?
s
Let t(i) = i + 13. Let s be t(-11). Suppose 3*k + 23 - 5 = 5*o, 2*k - 4 = -s*o. What is the biggest value in 0.4, -0.5, o?
o
Let f = 10 + -10.1. Let r = f - 3.9. Which is the second smallest value? (a) 2/11 (b) r (c) -2/9
c
Suppose -4*l + 2*o = 2, -l - 4*o - 7 = 7. Let u = 3 + -7. Which is the third biggest value? (a) -10 (b) u (c) l
a
Let n = -0.06 - -0.36. Let y be -2*4/(-24) - 1. What is the second smallest value in n, y, 2?
n
Let o = -988 - -983.89. Let f = -0.11 - o. Let i = f - 4.4. What is the third biggest value in -1/9, i, 4/5?
i
Let q = -118 + 943/8. What is the second biggest value in -4, q, 2/3, 0.1?
0.1
Let g = 0.01 + -0.41. Let o = -3.4 - -1.4. Which is the second smallest value? (a) o (b) g (c) 0.3
b
Let o = -11 - -21. Let b be (-6)/o - (-6)/10. Suppose 0*u = -2*u + n - 12, b = 5*n - 20. What is the second smallest value in 4, u, -3?
-3
Let b be 30/(-27)*6/15. Let r(s) be the second derivative of s**3/6 - 11*s**2/2 + 2*s. Let k be r(11). What is the smallest value in b, 1/3, k?
b
Suppose 0 = -2*m + 7*o - 8*o + 1, 4*o + 12 = 0. Let w = -0.6 - 4.4. What is the third biggest value in w, 1/4, m?
w
Let p be (18/(-27))/(2/3). Let i = -1 + 0. Let k be i/4 + 57/(-12). What is the biggest value in p, 5, k?
5
Let o = 2.05 - 0.05. Let r = 52.2 + -52. What is the third smallest value in 3, o, r?
3
Let h be (-4)/4 + (-2)/(-1). Let f be (h - -1)/(1 + -2). What is the second smallest value in 3/2, f, 0.3?
0.3
Let z(s) = -s**2 - 7*s - 6. Le | {
"pile_set_name": "DM Mathematics"
} |
**2 - 21*l
Expand 21*t**3 - 13*t**3 + 43*t**3 + (1 - 1 - t)*(3*t**2 + 0*t**2 - 5*t**2) - t**3 - 4*t**3 + 3*t**3 - t**2 + t**3 + t**2.
52*t**3
Expand (-3*w + 2*w - w)*(-2058 + 2058 - 140*w)*(0*w**3 + 2*w**3 + 0*w**3).
560*w**5
Expand (4*k + 3*k - 5*k)*(-3 + 3 - 1) + 0*k + 0*k - 2*k + (-9 - 8 - 51)*(-2*k + 0 + 0).
132*k
Expand 8 - 8 + x**3 + (2*x + 6*x**2 - 2*x)*(2*x - 4*x - x).
-17*x**3
Expand (-10821 + 96*n**3 + 10821)*(-3*n + 2*n**2 + n + n).
192*n**5 - 96*n**4
Expand (18 + 4 - 6)*(0 + 0 - v)*(1 - 1 + 4*v**2)*(-2 + 2 - v).
64*v**4
Expand (0*u - 2*u + 4*u)*(-5 + u + 5)*(3 - 4 - 3) + (-3*u**2 + 0 + 0)*(0 + 0 - 2) - 9 - 10*u**2 + 9.
-12*u**2
Expand (-b - b + 3*b)*(1 - 709*b**2 + 3 - 2 - 2).
-709*b**3
Expand (-w**2 - 8*w**2 + 4*w**2)*(24*w - 54*w + 27*w).
15*w**3
Expand (3 + 2 - 4 - 4*a)*(-8 + 1 - 3 + (-5 + 2 + 1)*(0 + 1 - 2)).
32*a - 8
Expand 3 - 3 - 2*n + (1 + 0 + 0)*(-1 - 8 + 4)*(-12*n - 4*n + n).
73*n
Expand (8*j - 27*j - 8*j)*(-4*j + j + 30*j).
-729*j**2
Expand 2*b**4 - 2*b**4 - b**4 + (-1 + 4 + 3)*(-4*b**4 + 3*b**4 - b**4).
-13*b**4
Expand (1 + 0 + 3*h - 2*h)*(-2 - 3*h**3 - h**3 + 6*h**3) + (h**3 - 2*h**4 - h**3)*(-6 + 1 - 7).
26*h**4 + 2*h**3 - 2*h - 2
Expand (2219 - 2219 + 180*z - 4*z + 2*z + z + (z - z + z)*(3 + 0 - 5) + 3*z - z - 4*z - 4*z - z + 3*z)*(z**2 - 2*z**2 - 3*z**2).
-692*z**3
Expand (-1 - 2*h + 1)*(1 + 2*h - 1) + 4*h**2 + 3 - 3 + (3*h - h - h)*(-2*h - 1 + 1) - 3*h + 3*h + 3*h**2.
h**2
Expand ((3*j + 3 - 3)*(-2*j**3 - 2*j**3 + 6*j**3) + (2*j**3 - 4*j**3 + 4*j**3)*(-2*j + 4*j - 3*j))*(j + 2*j - 2*j).
4*j**5
Expand (-2 - 3 + 4 + (-2 + 6 - 3)*(1 - 3 + 1)*(-11 - 11 - 4))*(-6*o + 18*o + 17*o).
725*o
Expand (0*b + 2*b - b)*(2*b + 0*b - 114*b - 6*b).
-118*b**2
Expand (0 - 2*y**2 + 0)*(3 + 1 - 2) + y**2 + 0*y + y - 2*y + (-3*y + 4*y - 3*y)*(10 - 82 - 43)*(-2*y - 2*y + 6*y).
457*y**2 - y
Expand (-1 + 48*i**2 - 27*i**2 - 4*i**2)*(3*i**3 + 4*i**3 - 5*i**3).
34*i**5 - 2*i**3
Expand (-4*i**2 + 35*i**2 + 2*i**2)*(0*i**2 + 0*i**2 + 2*i**2).
66*i**4
Expand -5*v**5 - 21*v**5 + 3*v**5 + v**5 - v**5 - v**5 + (-4*v**3 + 2*v**3 + 4*v**3)*(-2*v**2 + 0*v**2 + 0*v**2) + 3*v + 3*v**5 - 4*v**5 - v**5.
-30*v**5 + 3*v
Expand -2*a**3 + 0*a**3 + 5*a**3 + 2*a**2 - 2*a**3 - 2*a**2 + (a + 2 - 2)*(-2*a**2 - 3 + 3) - 23 + 24 - a**3 + 10*a**3.
8*a**3 + 1
Expand (15*a - 6*a + 6*a + (-2 + 1 - 1)*(-a + 2*a + 2*a) + a + a - 3*a)*(4 + 4 - 5).
24*a
Expand 183 - 76 + 10*n - 78 + n + 2 - 2 + (1 - 1 - 1)*(-4*n + 4*n + 2*n).
9*n + 29
Expand (5*m + 4*m + 15*m)*(-m**2 - m - 19 + 19).
-24*m**3 - 24*m**2
Expand (1 - 1 + d)*(-d**3 + 415*d**2 - 47 + 2*d**4 - 415*d**2).
2*d**5 - d**4 - 47*d
Expand (-4*w**3 - 4*w**2 + 4*w**2)*(-5*w - 3*w + 4*w) + ((-2 + 2 + w)*(0 + 1 + 1) - 3*w + 0*w + 2*w)*(-w**3 + 4 - 4).
15*w**4
Expand (l + l**3 - l)*(-10*l + 12*l - 10*l) + l**4 - 7*l**3 + 0*l**3 + 4*l**3.
-7*l**4 - 3*l**3
Expand (-44*s**3 + 111*s**3 + 346*s**3)*(-3 + 3 - 2)*(3 + 2 - 3).
-1652*s**3
Expand -61*j - 56*j - 184*j + 2 - 2 - j + 2*j + 2 - 2 + (j + 4*j - 3*j)*(-6 + 2 + 2) - 3*j - 3*j + 7*j.
-303*j
Expand (-1 - 3*r + 1)*(3*r - r - r)*(15 - 2*r - 15).
6*r**3
Expand (-37 + 91 - 21)*(-2*a - 1 + 1) - 4*a + 2 - 2.
-70*a
Expand (v + 3*v - 8*v)*(0 - 3 - 1)*((-2 + 3 - 2)*(2 + 0 - 3) - 5 - 1 - 6).
-176*v
Expand (0*x**2 + 2*x**2 - 4*x**2 + (-2 + 2 - x**2)*(-1 - 2 + 4) - 1 + 1 + 2*x**2 - x + x**2 + x + x - x + 4*x**2)*(5*x**2 - 2*x**2 - x**2).
8*x**4
Expand (-x + 0*x - 3*x)*(-326 + 16 - 96)*(2*x**2 - 2*x**2 - x**2)*(4*x - x - 2*x).
-1624*x**4
Expand 3*t**2 - 4*t**2 - t**2 + 4*t**2 - 3*t**2 + 0*t**2 + (-4 + 4 - 2*t)*(t - 4*t + t) - 1 + 21*t**2 - 17*t**2 + 0.
7*t**2 - 1
Expand (-1 - m + 1)*(-144*m**2 + 144*m**2 + 64*m**3).
-64*m**4
Expand (25 - 104 - 28 - 71)*(3*u**4 - u**4 + 0*u**4).
-356*u**4
Expand (-3*w + 6*w + 0*w)*(35*w**3 + 2*w**3 + 16*w**3) + (-2*w + 2*w + 2*w)*(-5*w**3 + 5*w**3 - w**3).
157*w**4
Expand -3 + 3 - 2*l + (7 + 3 + 88)*(l - 5*l + 2*l).
-198*l
Expand (-161*d**3 + 1295*d**2 - 1295*d**2)*((-2 - 1 + 1)*(3 - 3 + 2*d) - 2*d + 1 - 1).
966*d**4
Expand (0 + 2 + 1)*(3 - 1 - 7)*(1 - 4 + 0)*((0 + 1 + 0)*(5*t - 4*t + t) - 4*t - 2*t + 3*t).
-45*t
Expand -27*w**3 - 33*w**3 + 62*w**3 + (-2*w + 3*w - 3*w)*(-8*w**2 - 2*w**2 + 6*w**2).
10*w**3
Expand (2*a**2 - 4*a + 4*a)*(2 - 1 - 2) + (4*a - 4*a - a)*(2*a + 0*a - 3*a) - 7*a**2 - 6*a**2 + 30*a**2.
16*a**2
Expand -4 + 4 - 2*g + (-2*g - 2 + 2)*(2 + 1 - 1) + 2*g - 2*g + g + (-1 - 1 + 3)*(-3 - 2*g + 3) + 13*g - 4*g + 0*g.
2*g
Expand (0*z - 2*z + 3*z)*(23 - 36 + 20 + 32).
39*z
Expand -q + 1217 - 36*q - 1213 + (-4 + 3 - 1)*(3*q + q - 2*q).
-41*q + 4
Expand (-5*n + 0*n - 13*n)*(3 - 2 - 2)*(8*n + 0 + 0).
144*n**2
Expand (-3 - 1 - 2)*((2*p - 3*p + 2*p)*(-8 + 3 - 1) + (-1 + 2 + 0)*(-p + 2*p + 0*p)*(-1 - 1 + 3)).
30*p
Expand (-2 + 2 - 2*o)*(0 - 1 + 10)*(-1 + 3 + 0)*(-1 + 1 + 2*o + (-1 - 5 + 5)*(0*o - 3*o + 0*o)).
-180*o**2
Expand (-103 + 103 - 23*h)*(3 + 3 - 5) + 2*h - 2*h + 4*h + 1 - 1 + h - 3 + 3 + 2*h + (-2 + 6 - 3)*(-3*h + 5*h - h) + 2*h - 5*h + 4*h + 4 - 4 + h.
-13*h
Expand (-c - c + 4*c + 7 - 7 + c + 0*c + c + c + (2 - 2 - 3)*(-c - 1 + 1))*(0 + 2*c + 0).
16*c**2
Expand (-4*j - 1 + 1)*(-7*j - j - 3*j)*(5*j**2 - 126*j + 126*j).
220*j**4
Expand (2*u**5 + 0*u**5 + 0*u**5)*((-4 + 3 + 0)*(6 - 3 - 1) + 513 + 96 + 33).
1280*u**5
Expand (2 - 4 - 1)*(187*l - 431*l - 2*l).
738*l
Expand (2 - 2 - 1)*(-295*v + 211*v + 309*v).
-225*v
Expand (-2*d**2 + 3*d**2 - 2*d**2 + (-3 - 2 + 3)*(d**2 + 3*d**2 - 5*d**2) - 27*d + 6*d**2 + 27*d + (-6*d**2 + 4*d**2 + 13*d**2)*(3 + 1 - 5))*(-2 - d + 2).
4*d**3
Expand (-2*y - y + 10*y + 1)*(-2*y**2 + y**2 - y**2)*(5 - 3 + 0)*(-1 + 2 + 3).
-112*y**3 - 16*y**2
Expand (1 + 0 + 0)*(-3 - 2*v + 10 + 1) + (0*v - 2*v + v)*(1 - 4 + 2)*(0 + 3 - 5).
-4*v + 8
Expand k**2 + 4*k**2 - 3*k**2 + (5*k + k - 5*k)*(-k + 3*k + 5*k) - 2*k**2 - 5 + 5.
7*k**2
Expand ((-4 + 3 + 2)*(3 + 0 - 4) + 2 + 2 - 2)*(75*v**2 - v + 27*v**2 + 17*v**2).
119*v**2 - v
Expand 3 + 5*d**4 - 3 + (2*d**2 + 2 - 2)*(-d**2 + 0*d**2 + 3*d**2) + 4*d**4 - 6*d**4 + 6*d**4.
13*d**4
Expand n - n + n**3 + (2*n - 2*n**2 - 2*n)*(3*n - n + 0*n) - 3*n**3 - 10*n**3 - 39*n**3 + (-1 + 1 + n**2)*(1 + 2*n - 1).
-53*n**3
Expand (35 + 45*n - 35)*(-23 + 2 + 8).
-585*n
Expand (-1 + 1 + 4 + (-2 - 1 + 1)*(2 - 3 - 1))*(-8*x + 11*x - 8*x).
-40*x
Expand (-4 - 3 + 6)*(2*d**2 - 4*d**2 - d**2)*(99 + 114 - 280)*(-4 + 1 + 2)*(d**3 + 2*d**3 - d**3).
402*d**5
Expand (-3 - 2*c + 4 + 1)*(-2*c - c - 2*c) - 3*c - 3*c**2 + 3*c.
7*c**2 - 10*c
Expand (-1 + 1 - 2*c**2)*(-9*c + 15*c + 1 - 17*c).
22*c**3 - 2*c**2
Expand (-1 + 2 - 2)*(0*g + 9*g - 2*g)*(-123 + 123 + 80*g**2).
-560*g**3
Expand -2*m**3 + 3*m**3 + m**3 + (-2*m - 5*m + 6*m)*(m**2 + 0*m**2 + 0*m**2) + m**3 - 4*m**3 + 5*m**3 + (-2*m**2 + 5*m**2 + 4*m**2)*(0*m + m + m).
17*m**3
Expand (j + 0*j + 5*j)*(-j + 4 - 4) - 2*j**2 - 2*j**2 + j**2 - 5*j**2.
-14*j**2
Expand (3 - l - 3)*(964 - 16*l - 964) + (-2*l - l + 2*l)*(l - 6*l + 4*l) + 1 + l**2 - 1 + 5*l**2 - l**2 - 2*l**2.
20*l**2
Expand 502 + a**3 - 2*a**4 - 502 + (3*a**3 + 3*a**3 - 4*a**3)*(-4*a + 3*a - 3*a).
-10*a**4 + a**3
Expand ((13*h + 10*h - 20*h)*(-2 - 1 + 1) + h + 2 + 0 - 3*h)*(-136*h + 136*h - 12*h**2)*(-2 + 1 + 0).
-96*h**3 + 24*h**2
Expand 6*v - 4*v - v + 2*v - 3 + 3 + (0*v - 3*v + v)*(1 - 7 + 4) + (10*v + 7*v - 7*v)*(-2 - 1 + 5).
27*v
Expand -10*h**4 - 3*h**4 + 20*h**4 + 0 + 0 - h**4 + (-5*h + 5*h + 2*h)*(-2 - h**3 + 2).
4*h**4
Expand (-2*d + 2 - 2 + (-4 + 0 + 3)*(1 - 1 + d) - 2*d + 0*d - 2*d + 3 + d - 3)*(30*d - 15*d + 33*d) + 0*d**2 - d**2 + 0*d**2.
-289*d**2
Expand (3*a + 3*a**4 - 3*a)*(-84*a + 234*a - 32*a + 1486*a).
4812*a**5
Expand (-18*m + 18*m - m**3)*((2 - 2 - 7)*(0*m**2 + 5*m**2 - 4*m**2) + m**2 - m**2 + m**2).
6*m**5
Expand -113*v**2 - 39 - 4*v**3 + 108 - 69 - v**3 + v - v + 4*v**3 - 3*v**3 + v**3 + (-3*v**2 + 2*v**2 + 0*v**2)*(2*v - 4*v + v).
-2*v**3 - 113*v**2
Expand (-8*l**3 - 8*l**3 + 7*l**3)*(1 + 2 - 2) + l - 2*l**3 - l + (-2*l**3 + 3*l**3 - 4*l**3)*(2 + 1 - 1) + 2 - 2*l**3 - 2.
-19*l**3
Expand (-19*s**2 + 7*s**5 + 2*s**3 + 19*s**2)*(1 + 2 + 6 + 3 + 1 - 3 + (-1 + 1 - 2)*(-5 + 2 + 1) + 0 - 3 + 1).
84*s**5 + 24*s**3
Expand (0*f + 4*f - 5*f)*(-f + f + f) - 3 + 3 + 3*f**2 + (-152*f - 286*f + 65*f)*(5*f - 5*f - 2*f).
748*f**2
Expand 3*s + 4*s**5 - 5*s**5 + 0*s**5 + (-2*s**4 + 3*s**2 - 3*s**2)* | {
"pile_set_name": "DM Mathematics"
} |
Suppose -392*k - 67003543 = -263821814 - 62582633. Is k a prime number?
False
Suppose 0 = 10*w + 5348 + 43842. Let g = 7638 + w. Is g a composite number?
False
Let z be (-15020)/3 - 2/(-3). Suppose 5*f = 5*a - 10, f = 19*a - 14*a + 10. Is (z/f)/((-10)/(-25)) prime?
True
Suppose -12*r - 24*r = -2687004. Is r composite?
True
Let a = 158 + -140. Is (-1 - a/(-15))*(30 + 38555) prime?
True
Let q(m) be the first derivative of 73*m**5/60 - 7*m**4/24 + 46*m**3/3 - 46. Let f(i) be the third derivative of q(i). Is f(19) prime?
True
Let q = -55 - -62. Suppose -q + 15 = 2*t. Is (-2)/(1/(-822)*t) a composite number?
True
Let b be -4 + (-260)/(-70) - 12/7. Let x(p) = 62*p**2 - 3*p. Is x(b) composite?
True
Suppose 4*w + 2114 + 4542 = 3*f, -f + 4997 = -3*w. Let c = w - -2516. Is c a prime number?
False
Let c(z) = -33685*z - 1054. Is c(-9) prime?
True
Let z(m) = 68*m**2 - 14*m - 34. Let v be z(-10). Suppose 0 = 5*y + y - v. Is y composite?
False
Suppose 18 = -27*r + 24*r, -5*h + 35737 = 3*r. Is h a composite number?
False
Suppose -3*n + 6*q = -142605, 1093 + 46477 = n + 3*q. Is n composite?
True
Let r(o) = o**2 - 8*o + 9. Let x be r(7). Suppose -6*l = -2*l + 3*m + 24, -x = -2*l - 5*m. Let h(b) = -b**3 - 7*b**2 + 8*b - 16. Is h(l) a composite number?
True
Let w be (259/(-14))/((-3)/198). Suppose 27*c - 16*c = w. Is c composite?
True
Suppose -p + 109 - 111 = -2*s, -p = s - 4. Let f be -1 - (1*-1153 + 0). Suppose q = s*v - q - 2264, -v - 3*q + f = 0. Is v a prime number?
False
Suppose 0 = -5*w + w + 2232980. Suppose 172039 - w = -34*m. Is m composite?
True
Let o = 5902 - 9000. Let i = o + 7089. Is i composite?
True
Suppose -428*f = -429*f - 2*m + 1161, -f + 5*m = -1182. Is f composite?
True
Let g(q) = -q**3 + 8*q**2 + 32*q + 16. Let f be g(11). Suppose -l = f*n - 71973, -5*n = -8*n + 5*l + 43195. Is n a composite number?
True
Suppose -3*q - 16436 = -y, -17*y + 65789 = -13*y + 3*q. Suppose 4*m + 20*v = 15*v + y, -4*m + 16405 = -3*v. Is m prime?
False
Suppose 5*k - 176018 = -z + 106643, 282661 = z - 2*k. Is z composite?
False
Let b be -4 + (-28342)/(-2) - 5. Let k = b + -9925. Is k a composite number?
True
Let t be (-3 + (-48)/(-20))/(8/(-24280)). Let h = t + -1070. Is h a composite number?
False
Suppose -281 + 31 = -10*v. Suppose 0 = -v*l + 130538 + 226487. Is l composite?
False
Suppose 86 - 10 = 4*l. Let d(h) = -h**3 - 8*h**2 + 10*h + 32. Let y be d(-9). Suppose -y*q + 2356 = -l*q. Is q a composite number?
True
Suppose 4872 = 2*y + 4*g, 0 = 4*y - 5*g - 11365 + 1634. Suppose 5*x - 5*h - y = 4*x, 0 = 2*x - 3*h - 4861. Is x a composite number?
True
Let x be (20/(-72) - 4/18)*-10. Suppose 0 = -3*m, -5*a + x*m = -2*a - 18. Suppose 11*b - a*b - 3515 = 0. Is b prime?
False
Let j(i) = -i**3 + 91*i**2 + 211*i + 61. Is j(40) prime?
False
Let m(b) = -27*b**3 - 18*b**2 + 36*b + 80. Is m(-19) a composite number?
False
Let h(p) be the first derivative of -3*p - 39/2*p**4 - 1 + 2/3*p**3 - 3/2*p**2. Is h(-2) a prime number?
False
Let o = -4304 - -24897. Is o a composite number?
False
Suppose 4*v - 4 + 2 = -i, 3*v = 2*i - 4. Is 266208/120 - i/5 prime?
False
Let y(f) = -445*f - 102. Let z be y(-28). Suppose -10*v = -z + 2178. Is v composite?
True
Suppose y - 80536 = 5*o, -20 + 24 = -4*o. Is y prime?
False
Suppose -5*k - p = -60, -6*p + 2*p = 0. Suppose k*r - 4*r = 8. Let h(m) = 308*m**2 + 2*m - 1. Is h(r) a composite number?
True
Suppose -28 = -6*x - x. Suppose -x*l = 2*l - 35778. Is l prime?
False
Is ((-10)/(-80))/(4/226144) prime?
False
Let t = -47235 - -110822. Is t composite?
False
Suppose -2*f = 3*f - 5545. Let y = 21 - f. Let z = y + 1561. Is z a prime number?
False
Let w be (-9*20/75)/(6/(-20)). Is 2094/w - (-5)/20 a composite number?
True
Let r(j) = 104*j - 2. Let t(x) = 106*x - 3. Let f(i) = 4*r(i) - 3*t(i). Let m = -9 - -13. Is f(m) composite?
True
Let u = 20 + -36. Let p(r) = -r**3 - 14*r**2 - 23*r + 9. Is p(u) prime?
False
Let o = -255600 + 454109. Is o composite?
True
Suppose -14*n + 172 + 136 = 0. Suppose 3*h - 8 - n = 0. Suppose 11802 = h*y - 15868. Is y composite?
False
Let x(t) = -t**2 + 9*t - 9. Let v be x(7). Suppose 0 = s - v*s + 24. Suppose -s*k = -k - 4075. Is k composite?
True
Is (1/(-3))/(-2*(-8)/(-3764496)) a composite number?
False
Suppose 68*c - 3423981 = 2718255. Is c a composite number?
True
Let p(q) = q**2 + 3*q - 7. Let h be p(-5). Suppose -y = -0 - h. Is (-5)/15 + 1039/y composite?
True
Let w(m) = m**2 + 4*m + 2*m + 1203619 - 1203639. Let d be 2*(1 - (-11)/(-2)). Is w(d) a composite number?
False
Let t(q) = 192*q**2 + 267*q - 358. Is t(-41) composite?
False
Suppose -5*r - x + 10 = 0, 2*r + 3*x = 6 - 2. Suppose -r*y - 5 = -9. Suppose -2*t + 825 = g - 0*t, 4*t = y*g - 1634. Is g composite?
False
Let u(n) = n**2 + 16*n - 6. Let d be -13 - ((-4)/(-6))/((-2)/(-6)). Let p be u(d). Let b(a) = -a + 32. Is b(p) composite?
False
Is (6 - 12)/24*-8 + 128529 prime?
False
Let w(b) = -b**3 - 8*b**2 - 8*b - 9. Let j be w(-7). Let g(z) = z. Let h be g(j). Is (-2)/5 + (567/5 - h) composite?
True
Suppose 3*l - 6*b + 4*b - 5 = 0, -4*l + 18 = 3*b. Suppose -3*r + 1450 = 3*h + 379, h - l*r = 365. Is h prime?
True
Suppose -169*i - 8 = -173*i. Suppose i*s + 8*j = 6*j + 8228, -4*j = -5*s + 20543. Is s prime?
True
Let q = -270 - -491. Suppose -q = -8*j - 5*j. Suppose 7*u + 20990 = j*u. Is u a prime number?
True
Suppose -y + 3*y + 1509896 = 4*u, -377441 = -u - 5*y. Is u a composite number?
False
Let i(m) = m**2 + 8*m + 21. Let f be i(-6). Suppose -f*z + 13*z - 716 = 0. Is z prime?
True
Let c(z) = -406*z**3 + 2*z**2 + 9*z + 7. Let a(f) = 203*f**3 - f**2 - 4*f - 3. Let g(s) = -5*a(s) - 2*c(s). Let m be (4/6)/((-2)/3). Is g(m) composite?
True
Suppose 3*b + 0 - 3 = 0, -a - 5*b + 1 = 0. Suppose 0 = -0*x - x. Is -2*(1/a*326 + x) composite?
False
Let x = -4045 + 1710. Let d = 3522 + x. Is d a prime number?
True
Let d = 235 - 220. Is 11274 + (-4 + 3)/((-3)/d) a composite number?
False
Suppose 0 = 2*v + 3*c + 179, -3*v - 2*c - 266 = 3*c. Let q = v + 49. Let i = 85 + q. Is i a composite number?
False
Let y = 642 + -1742. Let j = 1989 + y. Is j composite?
True
Let y(l) be the third derivative of 1/60*l**5 - 7/6*l**3 + 0*l + 1/3*l**4 + 0 - 14*l**2. Is y(-10) prime?
True
Suppose 30*x = 45 + 75. Suppose x*i - 6*s = -5*s + 3654, 4*i - 3646 = 5*s. Is i prime?
False
Let d(h) = -245*h + 362. Let l(i) = -i**3 - 8*i**2 + 9*i - 2. Let v be l(-9). Let r(j) = -49*j + 72. Let x(k) = v*d(k) + 11*r(k). Is x(-21) prime?
True
Suppose 2*n - 5 = 5. Suppose 32*p - 55308 = -12*p. Suppose 3*i - 1006 = -4*x - 0*i, n*x = -4*i + p. Is x a composite number?
True
Let l be -145 + (-2 - -5) + -2. Let m be (l/(-21))/((-2)/(-112)). Suppose -3*o - 3*q + 590 = -622, -o + m = 5*q. Is o a composite number?
False
Let v = 62681 - 29182. Is v a composite number?
True
Let o(n) = -106*n + 21. Let g be o(10). Let y = g - -10388. Is y a prime number?
True
Let r = -52972 + 107893. Is r prime?
False
Let u = 63370 - -219037. Is u a composite number?
False
Let q(v) = -324*v - 169*v + 16*v - 25. Let n be q(-9). Is 1/(-2*(-2)/n) a prime number?
False
Let o be (-26)/195 + (-92)/(-15). Suppose 8*v - o*v - 12 = 0. Suppose 5*g = 0, -8*g = 2*a - v*g - 466. Is a prime?
True
Let b(x) = 5229*x**2 - 234*x - 911. Is b(-4) a prime number?
True
Let k(r) = -288*r - 79. Suppose 0 = 5*j + 63 - 38. Is k(j) composite?
False
Let x be (-565)/(-2)*7912/(-230). Let a = 17921 + x. Is a prime?
False
Suppose 3*t + 94*t = 17262799. Is t composite?
False
Suppose -5*x + 3*c - 23761 = 0, -x + c + 9500 = -3*x. Let o = x - -7492. Is o prime?
True
Let l(j) = 64*j**2 - 32*j + 4231. Is l(-69) a prime number?
False
Let u(k) = -k**3 - 16*k**2 - 3*k + 17. Let y(m) = m**3 + 18*m**2 - 16*m + 39. Let x be y(-19). Is u(x) composite?
False
Suppose 2*x = 4*y + 140, 4*x + 2*y + 3*y = 215. Suppose 5*k = -42*o + 40*o + 224, 3*k - 141 = o. Suppose -2*i + x = -k. Is i composite?
False
Let p be -7 + 0 + -16 + 2. Is (-2 - p)*(-472)/(-8) a composite number?
True
Suppose t = -2*c - 0*t + 47, c - 10 = -5*t. Suppose 2*b - 7*b + c = 0. Suppose -1701 = -4*j - b*v, -829 - 448 = -3*j - 4*v. Is j composite?
False
Suppose 126*f - 35*f = 1969877. Is f a composite number?
False
Let i(a) = a**3 + 22*a**2 + 34*a + 13. Let p be i(-17). Suppose -20*t = -4*t - p. Is t a composite number?
True
| {
"pile_set_name": "DM Mathematics"
} |
78*c + 348 = 0. Calculate c.
-6, -1, 3, 29
Let 10*i**2/13 - 866*i/13 - 348/13 = 0. What is i?
-2/5, 87
Factor 5*x**4 - 55*x**3 - 585*x**2 + 1315*x - 680.
5*(x - 17)*(x - 1)**2*(x + 8)
What is b in -b**5/9 + 4*b**3/9 - 2*b**2/9 - b/3 + 2/9 = 0?
-2, -1, 1
Determine g, given that -28*g**4 - 328*g**3 - 548*g**2 + 1192*g - 288 = 0.
-9, -4, 2/7, 1
Determine j, given that -j**4/7 + 3*j**3/7 + 12*j**2/7 - 20*j/7 - 48/7 = 0.
-2, 3, 4
Factor -2*r**2 + 6*r - 4.
-2*(r - 2)*(r - 1)
Let 5*s**5/6 - 55*s**4/6 + 205*s**3/6 - 305*s**2/6 + 25*s = 0. Calculate s.
0, 1, 2, 3, 5
Factor -2*c**3/5 + 2*c**2/5 + 112*c/5 + 288/5.
-2*(c - 9)*(c + 4)**2/5
Factor -2*g**3 - 214*g**2.
-2*g**2*(g + 107)
Factor -q**3/5 + 68*q**2/5 + 4*q/5 - 272/5.
-(q - 68)*(q - 2)*(q + 2)/5
Factor -2*t**4/7 + 64*t**3/7 - 96*t**2 + 2304*t/7.
-2*t*(t - 12)**2*(t - 8)/7
Factor -a**4 + 59*a**3 - 1003*a**2 + 3861*a - 2916.
-(a - 27)**2*(a - 4)*(a - 1)
Factor a**4/8 + 3*a**3 + 33*a**2/4 + 8*a + 21/8.
(a + 1)**3*(a + 21)/8
Determine t, given that -t**5/3 + 29*t**4/3 + 35*t**3 - 293*t**2/3 + 160*t/3 = 0.
-5, 0, 1, 32
Factor k**3/5 + 4*k**2 - 43*k/5 + 22/5.
(k - 1)**2*(k + 22)/5
Factor -2*z**5/9 - 10*z**4/9 - 4*z**3/3.
-2*z**3*(z + 2)*(z + 3)/9
Find o, given that 3*o**2 - 249*o + 246 = 0.
1, 82
Factor -3*h**3 - 90*h**2 + 408*h.
-3*h*(h - 4)*(h + 34)
What is q in 136497879*q**4 - 407199555*q**3 - 6869394*q**2 - 38532*q - 72 = 0?
-2/357, 3
Let 3*w**5/8 - 3*w**4/8 - 27*w**3/8 + 39*w**2/8 + 3*w - 9/2 = 0. What is w?
-3, -1, 1, 2
Let -3*v**3/5 - 54*v**2/5 + 57*v/5 = 0. Calculate v.
-19, 0, 1
Let -5*a**4 - 3520*a**3 - 929280*a**2 - 109035520*a - 4797562880 = 0. What is a?
-176
Factor 2*g**2/19 - 2676*g/19 + 895122/19.
2*(g - 669)**2/19
Factor -8*h**3/5 + 26*h**2/5 - 22*h/5 + 4/5.
-2*(h - 2)*(h - 1)*(4*h - 1)/5
What is p in 3*p**5 + 51*p**4 + 234*p**3 + 42*p**2 - 1005*p + 675 = 0?
-9, -5, 1
Factor a**3 + 15*a**2 + 48*a + 44.
(a + 2)**2*(a + 11)
Solve -128*m**3 + 864*m**2 - 1944*m + 1458 = 0.
9/4
Factor -2*v**4/3 + 86*v**3/3 - 322*v**2 + 294*v.
-2*v*(v - 21)**2*(v - 1)/3
Solve -55*h**4 - 450*h**3 + 140*h**2 + 1800*h + 320 = 0 for h.
-8, -2, -2/11, 2
Factor -2*s**3/9 + 868*s**2/3 - 94178*s.
-2*s*(s - 651)**2/9
What is u in 3*u**2 + 177*u + 174 = 0?
-58, -1
Find i such that 2*i**3/3 + 166*i**2 + 10736*i + 148840/3 = 0.
-122, -5
Factor l**2 + 2*l - 8.
(l - 2)*(l + 4)
Factor -2*j**3/5 + 24*j**2 - 360*j.
-2*j*(j - 30)**2/5
Factor -2*i**3/3 - 166*i**2 + 334*i - 502/3.
-2*(i - 1)**2*(i + 251)/3
Solve w**4/3 - 14*w**3/3 + 4*w**2 + 14*w/3 - 13/3 = 0 for w.
-1, 1, 13
Determine k so that 5*k**2 - 665*k + 1950 = 0.
3, 130
Factor 2*p**2/7 - 2936*p/7 + 2934/7.
2*(p - 1467)*(p - 1)/7
Factor 2*n**4 - 48*n**3 + 286*n**2 + 48*n - 288.
2*(n - 12)**2*(n - 1)*(n + 1)
Determine f so that -f**4/6 - 19*f**3/3 = 0.
-38, 0
Suppose -2*n**5/11 - 8*n**4/11 + 32*n**3/11 + 4*n**2 - 30*n/11 - 36/11 = 0. What is n?
-6, -1, 1, 3
Find n such that -9*n**5/8 - 11*n**4/8 + 25*n**3/8 + 15*n**2/8 - 2*n - 1/2 = 0.
-2, -1, -2/9, 1
Find m such that -4*m**2 - 76*m + 80 = 0.
-20, 1
Suppose -3*h**3 + 6*h**2 + 15*h - 18 = 0. Calculate h.
-2, 1, 3
Suppose 3*j**5 - 12*j**4 - 9*j**3 + 66*j**2 - 12*j - 72 = 0. Calculate j.
-2, -1, 2, 3
Solve 2*q**2/17 + 18248*q/17 + 41623688/17 = 0 for q.
-4562
Determine v, given that 4*v**4 - 24*v**3 - 364*v**2 - 1104*v - 1008 = 0.
-3, -2, 14
Factor 81*j**4 - 927*j**3 - 572*j**2 + 388*j - 48.
(j - 12)*(j + 1)*(9*j - 2)**2
Factor 47*c**2/6 + 15*c/2 - 1/3.
(c + 1)*(47*c - 2)/6
Factor 2*o**2/5 + 74*o/5 + 108.
2*(o + 10)*(o + 27)/5
Suppose 2*l**2/5 + 968*l/5 + 966/5 = 0. Calculate l.
-483, -1
Find j such that 3*j**5/2 + 9*j**4/2 - 27*j**3/2 - 81*j**2/2 = 0.
-3, 0, 3
Factor 4*i**2 + 1448*i.
4*i*(i + 362)
Solve q**2/3 + 91*q/3 - 92/3 = 0 for q.
-92, 1
Solve -g**4/3 + 10*g**3 - 29*g**2/3 = 0 for g.
0, 1, 29
What is g in 5*g**4 - 55*g**3 + 225*g**2 - 405*g + 270 = 0?
2, 3
Factor -5*l**4 - 20*l**3 + 25*l**2.
-5*l**2*(l - 1)*(l + 5)
Factor -j**2/3 + 1544*j/3 - 595984/3.
-(j - 772)**2/3
Find g such that 3*g**5 + 33*g**4 + 60*g**3 - 96*g**2 = 0.
-8, -4, 0, 1
Let -4*l**4 - 9*l**3 + 2*l**2 + 9*l + 2 = 0. What is l?
-2, -1, -1/4, 1
Suppose -4*n**4/7 + 8*n**3/7 + 16*n**2/7 - 8*n/7 - 12/7 = 0. What is n?
-1, 1, 3
Solve -4*q**4/9 - 14*q**3/9 - 14*q**2/9 - 4*q/9 = 0 for q.
-2, -1, -1/2, 0
Factor -3*k**2 + 16740*k - 23352300.
-3*(k - 2790)**2
Factor 5*v**3 + 335*v**2 + 970*v + 640.
5*(v + 1)*(v + 2)*(v + 64)
Factor t**3/8 + 855*t**2/8 + 243675*t/8 + 23149125/8.
(t + 285)**3/8
Let q**4 + 7*q**3 - 14*q**2 - 48*q = 0. What is q?
-8, -2, 0, 3
Determine d, given that 3*d**4 - 36*d**3 - 177*d**2 - 234*d - 96 = 0.
-2, -1, 16
Factor g**2/5 + 12*g/5 - 64/5.
(g - 4)*(g + 16)/5
Determine b, given that 4*b**5/3 - 32*b**4 + 548*b**3/3 + 280*b**2/3 - 496*b - 1120/3 = 0.
-1, 2, 10, 14
Find s, given that 48*s**3 + 2472*s**2 + 1227*s + 153 = 0.
-51, -1/4
Find o such that -o**5/2 + 5*o**4 + 23*o**3/2 - 68*o**2 + 14*o + 88 = 0.
-4, -1, 2, 11
Factor -5*y**2 - 2585*y + 5190.
-5*(y - 2)*(y + 519)
Solve 25*u**5 - 195*u**4 - 56*u**3 + 132*u**2 - 32*u = 0.
-1, 0, 2/5, 8
Solve 2*d**2 - 242*d = 0.
0, 121
Factor 5*l**3 + 30*l**2 - 585*l + 1350.
5*(l - 6)*(l - 3)*(l + 15)
Factor -2*z**2/3 - 44*z/3.
-2*z*(z + 22)/3
Solve 8*t**4 + 356*t**3/5 + 276*t**2/5 - 104*t/5 - 64/5 = 0.
-8, -1, -2/5, 1/2
Find p such that 38*p**4/7 - 110*p**3/7 - 12*p**2/7 + 152*p/7 + 16/7 = 0.
-1, -2/19, 2
Factor 2*m**3/5 + 38*m**2/5 - 284*m/5 + 80.
2*(m - 4)*(m - 2)*(m + 25)/5
Suppose -2*d**3/5 + 14*d**2/5 + 28*d/5 - 96/5 = 0. Calculate d.
-3, 2, 8
Let 4*y**5 + 88*y**4 - 108*y**3 - 8064*y**2 + 6480*y + 129600 = 0. Calculate y.
-15, -4, 6
Solve -2*u**3 - 136*u**2 - 2016*u + 10368 = 0.
-36, 4
Solve -12*k**4 + 4*k**3 + 68*k**2 + 76*k + 24 = 0.
-1, -2/3, 3
Factor -2*x**4 + 198*x**3 - 4594*x**2 - 15198*x - 10404.
-2*(x - 51)**2*(x + 1)*(x + 2)
Find d, given that -2*d**5/3 + 2*d**4/3 + 10*d**3/3 - 2*d**2/3 - 16*d/3 - 8/3 = 0.
-1, 2
Suppose z**3/4 + 395*z**2/4 + 197*z/2 = 0. What is z?
-394, -1, 0
Suppose o**4 + 3*o**3 - 10*o**2 - 24*o = 0. Calculate o.
-4, -2, 0, 3
Factor 3*v**3 + 393*v**2 + 13440*v + 36864.
3*(v + 3)*(v + 64)**2
Let 3*b**5 + 6*b**4 - 33*b**3 - 24*b**2 + 60*b + 48 = 0. What is b?
-4, -1, 2
Factor 3*w**3/4 + 45*w**2/4 + 189*w/4 + 243/4.
3*(w + 3)**2*(w + 9)/4
Factor -4*g**4 + 72*g**3 - 404*g**2 + 720*g.
-4*g*(g - 9)*(g - 5)*(g - 4)
Suppose -5*l**3 + 35*l**2 = 0. What is l?
0, 7
Factor 5*o**5 + 5*o**4 - 60*o**3 - 140*o**2 - 80*o.
5*o*(o - 4)*(o + 1)*(o + 2)**2
Determine k so that -15*k**5/4 + 123*k**4/2 + 459*k**3/4 - 231*k**2/2 - 111*k + 54 = 0.
-2, -1, 2/5, 1, 18
Let -4*j**3 - 64*j**2 - 276*j - 360 = 0. Calculate j.
-10, -3
Find s such that -s**3/8 - 103*s**2/8 - 203*s/8 - 101/8 = 0.
-101, -1
Factor 3*i**2/5 - 16182*i/5 + 21821427/5.
3*(i - 2697)**2/5
Factor 4*o**5 - 92*o**4 + 88*o**3.
4*o**3*(o - 22)*(o - 1)
Let l**3/9 - 10*l**2/9 - 32*l/3 = 0. What is l?
-6, 0, 16
Factor -5*a**2 - 420*a - 4615.
-5*(a + 13)*(a + 71)
Factor -w**2/2 - 2*w.
-w*(w + 4)/2
Find a such that -2*a**4/17 - 24*a**3/17 - 104*a**2/17 - 192*a/17 - 128/17 = 0.
-4, -2
Suppose -5*m**3 + 435*m**2 - 9240*m - 9680 = 0. Calculate m.
-1, 44
Let -g**5/6 - 11*g**4/6 + 25*g**3/6 - 13*g**2/6 = 0. What is g?
-13, 0, 1
Factor s**5/4 + 83*s**4 - 167*s**3 + s**2/2 + 667*s/4 - 167/2.
(s - 1)**3*(s + 1)*(s + 334)/4
Find v, given that 5*v**4 - 505*v**3 + 4690*v**2 - 12860*v + 10920 = 0.
2, 6, 91
Determine f, given that 2*f**2/9 - 53*f/9 + 26/9 = 0.
1/2, 26
Factor 2*f**3 + 43*f**2 + 18*f - 63.
(f - 1)*(f + 21)*(2*f + 3)
Factor 5*u**4 - 15*u**2 + 10*u.
5*u*(u - 1)**2*(u + 2)
Let 3*i**5 - 12*i**4 + 48*i**2 - 48*i = 0. What is i?
-2, 0, 2
Find r such that -4*r**2 + 9*r - 2 = 0.
1/4, 2
Factor 343*x**4/4 - 34349*x**3/4 - 14805*x**2/2 - 2119*x - 202.
(x - 101)*(7*x + 2)**3/4
Suppose -n**3/4 - 3*n**2/4 - n/2 = 0. What is n?
-2, -1, 0
Factor u**3 - 16*u**2 - 19*u + 34.
(u - 17)*(u - 1)*(u + 2)
Determine o so that -3*o**5 + 408*o**4 - 18219*o**3 + 254334*o**2 + 564972*o + 292008 = 0.
-1, 46
Factor 3*h**2 + 27*h + 42.
3*(h + 2)*(h + 7)
Factor q**2/2 - 228*q - 457/2.
(q - 457)*(q + 1)/2
Find d such that 2*d**3 - 4*d**2 - 26*d - 20 = 0.
-2, -1, 5
Factor 4*o**4 - 564*o**3 + 552*o**2 + 1120*o.
4*o*(o - 140)*(o - 2)*(o + 1)
Suppose 5*m**4/3 + 5*m**3 | {
"pile_set_name": "DM Mathematics"
} |
et c(n) be the third derivative of -1/60*n**5 + 0*n + 14*n**2 + 0 + 0*n**3 + 1/6*n**4. Give c(p).
0
Let u = 153 + -217. Let q = -58 - u. Let d(s) = 14 - 9 - 3*s**3 + 2*s**2 + 4*s**2 + 2*s**3 + q*s. Give d(7).
-2
Let k(s) = s**2 + 3*s. Let c(u) = -u. Let p be c(-5). Suppose p*j - 3*j = 18. Suppose -3*l - j = -4*b, 3*l + 5 = 5*b - 4. Calculate k(l).
0
Let l(d) = 2*d + 46. Suppose -w - 78 = 2*w - 9. Calculate l(w).
0
Let m(r) = 66*r**3 - 4*r**2 - 4*r - 9. Let x(p) = -7*p**3 + p**2 + p + 2. Let n(w) = m(w) + 4*x(w). Give n(-1).
-39
Let q(s) = -s**2 + 15*s - 340661 + 681461 - 340583. Calculate q(-9).
1
Let t(h) = -h**3 + 3*h**2 - 6*h + 9. Let l(u) = 5*u**3 - 13*u**2 + 30*u - 47. Let f(x) = -2*l(x) - 11*t(x). Let i be 5/2 - 21/(-6). Calculate f(i).
-5
Let g(h) = h**2 + h - 2. Suppose -54 = n - 72. Suppose 6*i = -0 + n. What is g(i)?
10
Let g(c) = 29 - 3*c - 4*c**2 - 19*c**2 + 143*c**3 - 144*c**3 + 12*c**2. Determine g(-10).
-41
Let z(x) = -6*x + 6. Suppose 163 + 17 = -18*l. Calculate z(l).
66
Let r(j) = 5*j**2 + 9*j - 8. Let u(g) = 4*g**2 + 8*g - 7. Let q(x) = -6*r(x) + 7*u(x). Let b be (-3)/18*-4*(-2 - -14). Let t = b - 6. Calculate q(t).
-5
Let g be -2 - (18/(-27) + (-3)/9). Let f(w) = 24*w + 17. What is f(g)?
-7
Let p be 180/(-300)*20/(-36). Let q(o) be the first derivative of 5/2*o**2 - p*o**3 + 0*o - 1. Calculate q(5).
0
Let w(f) = 2731 - 695*f - 2970 + 691*f. Give w(-49).
-43
Suppose -d + 3 = -0. Let o(s) be the first derivative of -s**2/2 + 3*s - 6049. Calculate o(d).
0
Suppose 3*g = -4*d - 15, -209*g = -207*g - 3*d + 10. Let x(q) = -q + 1. Let c(a) = 3*a + 8. Let b(n) = -c(n) + 2*x(n). What is b(g)?
19
Let r be 4*22 - (-68)/17. Let z = r + -89. Let v(i) = -i - 4. What is v(z)?
-7
Let m be (-12)/8*-2 + 47. Suppose 8*g = 13*g - m. Let a(n) = -9*n - 2*n - g + 6*n + 4*n. Calculate a(-7).
-3
Let b(i) = -i**2 + 5*i + 3. Suppose 15*u = 230 + 430. Let t = 51 - u. Calculate b(t).
-11
Let p(m) be the second derivative of m**5/30 - m**4/24 + m**3/2 + 100*m**2 + 228*m. Let k(b) be the first derivative of p(b). Calculate k(3).
18
Let q = 127 - 60. Suppose -j = -2*a - q - 0, 2*j - 3*a = 139. Let s = 81 - j. Let l(f) = f**2 - 3*f - 4. Give l(s).
0
Suppose 0 = -67*y - 1215 - 259. Let t(z) = z**3 + 21*z**2 - 23*z - 22. Calculate t(y).
0
Let y(q) = -26*q - 1. Let n = 72 + 39. Let m = n - 112. Give y(m).
25
Suppose 0 = 3*b - 8*b + 40. Let k(j) be the third derivative of j**4/8 - 11*j**3/6 + 4*j**2 + 177. Give k(b).
13
Let z(g) = -1 - 2 + 803*g + 800*g + 41*g**3 - 1606*g. What is z(-1)?
-41
Let l(p) = 5*p + 1928 + 1940 - 3807. Calculate l(-10).
11
Let f(k) = k**2 + 10*k - 14. Let p be (-4 + 2)/(3*(-3)/18). Let s(y) = 4*y - 27. Let r be s(p). What is f(r)?
-3
Let z(t) = t**3 - 3*t**2 - 3*t + 2. Let q(n) = -5*n + 27. Let g be q(-5). Let l = 52 - g. Suppose 4*w = -l*w + 8. Calculate z(w).
-8
Let j(b) = b**2 + 13*b + 2. Suppose 0 = 5*s + y - 0*y - 793, 310 = 2*s + 4*y. Let v = s - 170. Give j(v).
-20
Let s(m) = 6*m + 3. Suppose -587 = 9*n + 1213. Let r = n + 196. What is s(r)?
-21
Let s(o) be the second derivative of -o**6/360 - o**5/40 + o**4/8 - 15*o**3/2 - o + 8. Let i(a) be the second derivative of s(a). What is i(-4)?
-1
Let l(s) = -s**3 - 7*s**2 + 13*s + 20. Let w be l(-8). Let k be (-2)/w*4 - (-14)/(-35). Let u(o) = o**2 - 5. Calculate u(k).
-5
Let d(f) = 5*f**2 + 12*f + 15. Let m be (-4)/6 + 20/(-15). Let i(n) = -12*n**2 - 23*n - 30. Let v(b) = m*i(b) - 5*d(b). Calculate v(-11).
18
Let h(f) = 4*f**2 + f**2 - f**3 - 3*f - 1 - 2. Suppose 101*c - 227 - 27 = 49. Determine h(c).
6
Suppose 0 = 14714*p - 14711*p - 3*h - 15, 5*p + 4*h = -56. Let c(g) be the first derivative of g**3/3 + g**2/2 - 5*g - 1. Calculate c(p).
7
Let f(i) = 2*i**2 - 6*i - 5. Let v be 6/(-8) + (-2145)/(-156). Let p be 5/1 + (13 - v). What is f(p)?
15
Suppose -c - 5*r - 33 = -0*c, 4*c - 5*r = -7. Let g = -2 - c. Let s(p) = p**2 + 2 - 8*p + 21*p - 21*p + 3*p. Calculate s(g).
8
Let h(n) = -25*n + 115. Let c be 7/(175/(-10))*-10. What is h(c)?
15
Let l(f) = 335 - 746 + 404 - 5*f. Give l(4).
-27
Let m(a) = a**3 - 2*a**2 - 2. Let j(w) = -w**2 + w - 7. Let c(g) = g - 6. Let z be c(6). Let o be j(z). Let u be ((-21)/(-9))/o*-6. Determine m(u).
-2
Let z(t) = 2*t**2 + 9*t - 13. Suppose -8*m - 39 = l, 0 = l + 3*m - 43 + 62. Give z(l).
22
Let j = 4 + -8. Let a be ((-24)/(-20))/((16/(-10))/(-4)). Let u(r) = -a*r - 4*r**2 + 2 - r**2 + 4*r**2 - 6. Calculate u(j).
-8
Let n(u) = -u**2 - u - 2. Let c(t) = -t**2 + 2*t - 1. Let v be c(0). Let b be ((-4)/(-3) + v)*(3 - 3). Suppose b = 3*p + 27 - 21. What is n(p)?
-4
Let x(c) = c**2 - 3*c - 9. Let o(z) = z**2 - 12*z + 40. Let g be o(7). Let l be x(g). Let m(r) = 10*r**3 - r**2. Calculate m(l).
9
Suppose 3*d = -r - 7, -2*r + 6*d - 2*d + 6 = 0. Suppose 3*n = -3, -2*p + 7*p + 4*n - 6 = 0. Let c(j) = 3*j - 6*j + 6*j**2 + 0 + p*j - 1. What is c(r)?
6
Suppose -b = 5, -4*b - 112 = -3*w - 41. Suppose -20*d - 21 = -w*d. Let s(v) = -v**3 - 6*v**2 + 7*v - 5. Determine s(d).
-5
Let h = -17 + 20. Suppose -r = -p - 7, 3*p = -0 + h. Let d(v) = 2*v**2 + 10*v + 2. Let j(q) = 5*q**2 + 21*q + 3. Let u(a) = 7*d(a) - 3*j(a). Calculate u(r).
-3
Let p(t) be the first derivative of -3*t**2/2 - 3*t - 1. Suppose 49*y = 2*z + 53*y + 48, 2*z - 3*y = 22. Determine p(z).
9
Let r(x) = x**3 + 6*x**2 + 3*x - 3. Let l(t) = -7 + 2*t**3 - 6*t**2 + 16*t**2 + 2 + t**2 + 4*t. Let f(z) = -3*l(z) + 5*r(z). Determine f(-4).
4
Let o(c) = -c**2 + 7*c + 6. Suppose -4*r + 3 = -r, 0 = g - 2*r - 65. Let t = 76 - g. Give o(t).
-12
Let d(o) = 197 + 3*o - 386 + 197. Determine d(-4).
-4
Let y(w) = w**3 - 4*w**2 + w - 7. Let n = 2813 - 2808. Give y(n).
23
Let h = 15186 + -15193. Let j(p) = -26*p - 194. Determine j(h).
-12
Let f(k) = 7*k**2 - 15*k + 3. Let u(x) = -11*x**2 + 23*x - 4. Let d(j) = -8*f(j) - 5*u(j). Suppose 5*c + h = 3*h + 19, 4*c - 3*h - 18 = 0. Calculate d(c).
2
Let o(l) = 71*l + 31. Let n be o(10). Suppose 0 = 739*z - n*z - 4. Let j(c) = c**3 + 3*c**2 + 4*c + 5. Give j(z).
1
Let w(n) = 7*n + 8. Suppose 10*r = -6*r + 112. Let k(s) = -10*s - 11. Let d(x) = r*w(x) + 5*k(x). Let j = -12 + 5. Determine d(j).
8
Let h(y) be the third derivative of y**6/60 + y**5/60 - 7*y**4/24 - 3*y**3/2 + 1473*y**2. Determine h(-2).
-7
Let p(d) = -d**2 + 14*d - 2. Suppose 9*l - 304 = 13*l. Let h be l/(-6) - (-8 - 52/(-6)). What is p(h)?
22
Suppose -82*i + 98*i - 80 = 0. Suppose -2*g = 2*g, -i*g = 5*f - 20. Let x(d) = -d**2 + 2*d + 5. What is x(f)?
-3
Let b(y) be the third derivative of 3*y**4/8 + y**3/3 - 172*y**2 - 10. Give b(-7).
-61
Suppose 0 = -5*j - 106 + 91. Let h(g) = -g**3 + 2*g + 2. Let k(n) = -2*n**2 + n - 1. Let z(a) = j*k(a) + h(a). What is z(5)?
25
Let h be (1 + -1)/6 + (-4 - -48). Let m(r) = -53*r**3 + 10*r**2 + h*r + 52*r**3 - 31*r - 15. Give m(11).
7
Let h(g) = g**2 - 38*g - 62. Let f(p) = -7*p**2 + 229*p + 367. Let l(q) = -2*f(q) - 13*h(q). Give l(-34).
4
Suppose 96*y - 87*y - 18 = 0. Let i(p) = -y*p + p + 7*p - 10. Give i(4).
14
Let x(t) = -13*t**3 + 6*t**2 - 15*t + 19. Let y(n) = -31*n**3 + 15*n**2 - 37*n + 46. Let q(z) = 12*x(z) - 5*y(z). Determine q(-5).
23
Let k(l) = -14*l**2 + 4*l + 143. Let u(f) = 14*f**2 - 3*f - 95. Let i(h) = -2*k(h) - 3*u(h). What is i(1)?
-14
Let x(d) = d**3 + 13*d**2 + 10*d + 19. Let t(o) = -271*o - 5704. Let v be t(-21). What is x(v)?
-111
Let s = -5786 - -5793. Let g(r) = r**3 - 8*r**2 + 4*r + 16. Give g(s).
-5
Let v = -3 + 6. Let d(i) = -4 + 12*i**2 + i**v + 5*i**2 - 6*i**2 - 8*i + 17*i. Give d(-10).
6
Let i(o) = -o**2 + 40*o + 1565. Let t be i(-24). Let p(x) = x**2 - 22*x - 205. Calculate p(t).
-2
Let t(z) be the first derivative of -z**4/4 + 7*z**3/3 - z**2/2 - 17*z + 2413. Calculate t(7).
-24
Let g(a) be the second derivative of -a**5/20 - a**4/24 - a**3/3 + 5*a**2 - 8*a - 5. Let d(r) be the second derivative of g(r). Calculate d(-1).
5
Let c = 6800 + -6807. Let p(r) = 3*r**2 + 19*r - 16. Calculate p(c).
-2
Let l(n) = -n**2 - 8*n - 11. Let d be (-9)/((-14)/((-280)/30)). What is l(d)?
1
Let d(f) be the second derivative of f**6/120 - f**5/60 + f**4/24 - 5*f**3/3 + 91*f**2 + 141*f. Let u(w) be the first derivative of d(w). Determine u(0).
-10
Let b(k) = -6*k**3 + k. Suppose 3*d + 12 = -3*h, 0*h - 4*d = h + 13. Calculate b(h).
5
Let m(g) be the first derivative of 184 - | {
"pile_set_name": "DM Mathematics"
} |
and -701 nonequal?
True
Is -1 less than or equal to -40/27?
False
Which is bigger: 0 or 6/3499?
6/3499
Do 2/4437 and -1 have different values?
True
Is 7191 greater than or equal to 7192?
False
Which is smaller: -6285 or -1/4?
-6285
Which is smaller: 7.54 or -4?
-4
Which is bigger: -10/39 or 0?
0
Which is bigger: -287 or -295?
-287
Which is smaller: -864 or -862?
-864
Is 1 less than or equal to -7/22?
False
Is 0 bigger than 3/241?
False
Is -0.103 greater than or equal to -1?
True
Is 1/106 at least -0.2?
True
Which is bigger: 345 or 1033/3?
345
Is -42 greater than -1601/37?
True
Is 9394 at least -0.2?
True
Is 1 not equal to 3437?
True
Are 0 and -3/175 unequal?
True
Is -33 less than or equal to 11?
True
Which is smaller: -2/1479 or -1?
-1
Is -0.1 <= -213?
False
Which is smaller: 1/2 or 7/484?
7/484
Is -706/3 <= -235?
True
Do 2/2045 and -1 have the same value?
False
Which is smaller: 0.1 or 5/3?
0.1
Which is greater: 1 or 6/4489?
1
Which is smaller: 20/243 or 0?
0
Which is smaller: 27/65 or 0?
0
Which is bigger: -4/7 or 0?
0
Which is greater: 3783 or 3784?
3784
Are -4 and 0.35 unequal?
True
Is -695 < 0.3?
True
Which is greater: -8229 or -8227?
-8227
Is 835 at least as big as 835?
True
Is -4/41 at least 0.13?
False
Are 676 and 671 unequal?
True
Is 7 < 22/3?
True
Do 2/5105 and 1 have the same value?
False
Are -231/13 and 5 unequal?
True
Is 132 bigger than 179?
False
Is 678 != 12888/19?
True
Which is smaller: 439 or 430?
430
Which is bigger: -1 or 1/1328?
1/1328
Which is smaller: 1369 or 1374?
1369
Is -121 < -55?
True
Which is smaller: 8 or 788/101?
788/101
Which is bigger: -1/15447 or -1?
-1/15447
Is -87 equal to -85?
False
Which is smaller: 18671/5 or 3734?
3734
Is 1 <= -10/3627?
False
Are -2436 and -2439 equal?
False
Which is bigger: 18 or 0.032?
18
Which is bigger: 249 or -5?
249
Which is greater: 5519 or 11037/2?
5519
Which is greater: -243 or -2664/11?
-2664/11
Are 2/415 and 1 unequal?
True
Are 2668 and 2673 equal?
False
Does 1 = 42/337?
False
Is 67/18 not equal to 5?
True
Which is bigger: -840 or -843?
-840
Is -1/2746 greater than or equal to 1?
False
Are -2 and -1/105 equal?
False
Is 18/115 at most as big as -3?
False
Do -1 and 1/3 have the same value?
False
Which is greater: 0 or -1/1098?
0
Which is bigger: 1453 or 1455?
1455
Is 0.448 != -2?
True
Is 2/7 smaller than 26.6?
True
Which is smaller: 36 or 110/3?
36
Which is smaller: -108.8 or -2?
-108.8
Is -1/31 bigger than 0.3?
False
Is -58 > 18/7?
False
Does 33/89 = 0?
False
Are -200 and -204 equal?
False
Which is smaller: 303 or -1/3?
-1/3
Is 492 at least as big as 494?
False
Which is bigger: -5 or -15/4?
-15/4
Is -2/831 <= -1?
False
Is -25/2 smaller than 5.85?
True
Which is greater: -3429/26 or -133?
-3429/26
Do -641 and -646 have the same value?
False
Which is greater: 40 or 41?
41
Is 448 >= 449?
False
Which is smaller: 282 or 284?
282
Which is bigger: 45/22 or 3?
3
Which is greater: -388 or -389?
-388
Which is greater: 0 or -88/357?
0
Which is smaller: 1921 or 1922?
1921
Which is bigger: -223 or -222?
-222
Which is bigger: 11526 or 11527?
11527
Is 196 greater than or equal to 108?
True
Is -8.18 > -0.4?
False
Is 53/178 at most 1?
True
Which is smaller: 318 or 296?
296
Which is smaller: 8 or 62/9?
62/9
Is -1 <= 2/619?
True
Which is greater: 315 or 316?
316
Is 115 >= 116?
False
Is 1 greater than 19/27?
True
Do 1/3 and 5.1 have different values?
True
Which is smaller: -2 or 1.705?
-2
Which is greater: 1576 or 1575?
1576
Which is greater: 251 or 250?
251
Which is bigger: 1 or 379?
379
Is -2898 >= -2909?
True
Are -182 and -233 equal?
False
Are 1 and 12 nonequal?
True
Which is greater: -5 or -5/63?
-5/63
Is 1 smaller than -62/135?
False
Is 3324 at most 3324?
True
Which is greater: 1/732 or 0?
1/732
Which is smaller: -11 or -1.08?
-11
Is -1 smaller than 6/709?
True
Is 83 at least as big as 1/4?
True
Which is greater: -1920 or -1921?
-1920
Is 10572 <= 10575?
True
Which is bigger: -3/1517 or 0?
0
Which is greater: 8 or 12/11?
8
Is -142 at most as big as -2?
True
Do 12/19 and 1 have the same value?
False
Which is smaller: -1595 or -7978/5?
-7978/5
Is 0.3 less than 3457?
True
Is 11.176 > 2?
True
Which is greater: 0 or 5/819?
5/819
Do -2/1055 and 1 have the same value?
False
Is 112 less than 117?
True
Is -50 at least as big as -1.7?
False
Which is smaller: -32 or -10?
-32
Is 9 != -14.8?
True
Is -1078 at most as big as -1079?
False
Which is smaller: -3 or 0?
-3
Which is greater: 1/19818 or 0?
1/19818
Is 3085 at least 3085?
True
Is -16/17 > 2/23?
False
Is 1602 bigger than 1601?
True
Which is bigger: 1883 or 1/3?
1883
Which is smaller: 0 or 8/49?
0
Is 14 at most as big as -0.6?
False
Is 6645 equal to 6649?
False
Is 2/19 equal to -2.2?
False
Which is greater: -6/31 or -1?
-6/31
Which is smaller: -759 or -760?
-760
Is 121 not equal to 113?
True
Is 9 less than or equal to 1/7?
False
Is -1858 at most as big as -1858?
True
Is 180 at most as big as 0.2?
False
Which is bigger: -40/271 or 0?
0
Is -21 < -157/7?
False
Does -1 = -4/159?
False
Is -1 <= 3/38?
True
Do 663 and 663 have different values?
False
Which is greater: -3 or -23/8?
-23/8
Is 4/281 at least 1?
False
Which is bigger: 0 or -14/33?
0
Which is smaller: 7.146 or 3?
3
Which is smaller: -156/11 or -14?
-156/11
Is -185.6 at least -5?
False
Which is bigger: -21 or 5?
5
Which is smaller: -258 or -257?
-258
Which is smaller: -196/5 or -39?
-196/5
Which is greater: -8 or 40?
40
Is 579 bigger than 581?
False
Which is smaller: 74 or 2626/35?
74
Are -0.2 and -508 non-equal?
True
Is -201 less than -190?
True
Which is smaller: 29 or 89/3?
29
Which is bigger: -1 or -38/891?
-38/891
Which is greater: -86 or -0.78?
-0.78
Is 12428 smaller than 12428?
False
Do -58 and -55 have the same value?
False
Do -17716 and -17716 have different values?
False
Is -0.0222 not equal to 2/5?
True
Which is smaller: -1 or -4/7493?
-1
Which is greater: 1 or 1/3206?
1
Is -1260 less than or equal to -1261?
False
Which is smaller: 3019 or 3016?
3016
Is -2215/6 at least as big as -369?
False
Is -128 > -32?
False
Which is bigger: 0.1 or -0.44?
0.1
Do 18 and 0.1 have the same value?
False
Which is bigger: 72 or 26?
72
Do 37.4 and -19 have the same value?
False
Are -3612 and -3611 nonequal?
True
Which is smaller: -11.3 or 0.1?
-11.3
Which is smaller: -111 or -110?
-111
Which is smaller: 93 or 9?
9
Is -11 greater than -0.29?
False
Which is greater: 184 or 190?
190
Are 58 and 58 equal?
True
Which is greater: 225.3 or -0.3?
225.3
Is 35172 at most 0.1?
False
Is 3 less than 30/19?
False
Which is bigger: -3.74 or 2?
2
Is -2 > -4038?
True
Is 17 less than or equal to -1/2?
False
Which is bigger: -244 or -241?
-241
Which is smaller: -2/1867 or 1?
-2/1867
Which is bigger: -137 or -134?
-134
Do 160 and 1/2 have different values?
True
Is -19 smaller than -73/4?
True
Is 2/719 != -1?
True
Do 0.1 and 185/3 have different values?
True
Which is bigger: -2389 or -2391?
-2389
Is 4928 less than 4928?
False
Is 79 not equal to 121?
True
Are 0 and -2/5265 equal?
False
Which is bigger: 57 or 53?
57
Which is smaller: -6 or -33/5?
-33/5
Which is bigger: -4/235 or 1?
1
Is 2/157 greater than 0?
True
Which is bigger: -5/26 or 1?
1
Is 149 greater than 1195/8?
False
Which is smaller: -8/5 or -0.181?
-8/5
Is 3463 equal to 2/5?
False
Which is smaller: -1 or -2/2007?
-1
Which is smaller: 8/1239 or 1?
8/1239
Which is greater: -161 or -122?
-122
Is -11136 at most as big as -11136?
True
Which is smaller: -330 or -331?
-331
Is -35977 greater than or equal to -35977?
True
Which is smaller: -4 or -41/10?
-41/10
Is -82 != -77?
True
Do 34 and 61 have different values?
True
Which is greater: 0 or -3/16?
0
Is 96 equal to 96?
True
Which is smaller: 218 or 174?
174
Is -83 greater than 3?
False
Is 0 bigger than -0.1151?
True
Is 1 > -79/540?
True
Which is smaller: -181/14 or -12?
-181/14
Which is bigger: 0.2 or -74?
0.2
Which is smaller: 0.04 or -0.6?
-0.6
Is -4/2893 less than -1?
False
Is 252 less than -8?
False
Which is smaller: -53 or -55?
-55
Which is greater: 0.06357 or -4?
0.06357
Which is smaller: -0.0249 or 2.5?
-0.0249
Is 1 greater than 3/5?
True
Which is bigger: -1 or 4/9?
4/9
Which is bigger: 12 or 30.4?
30.4
Is 1 >= 1/136?
True
Is 0.4 smaller than -25?
False
Which is greater: -1 or 1/1274?
1/1274
Is -1493 at least -1495?
True | {
"pile_set_name": "DM Mathematics"
} |
of 168 and 48.
24
Calculate the highest common divisor of 468 and 99.
9
What is the highest common factor of 180 and 22740?
60
What is the greatest common factor of 6905 and 10?
5
What is the highest common factor of 252 and 1116?
36
What is the greatest common divisor of 28 and 232?
4
What is the greatest common divisor of 3552 and 9324?
444
What is the highest common factor of 128 and 16?
16
Calculate the greatest common factor of 172 and 11438.
86
Calculate the highest common divisor of 117 and 1989.
117
Calculate the highest common divisor of 24497 and 187.
187
What is the greatest common divisor of 473 and 176?
11
Calculate the greatest common factor of 99 and 189.
9
Calculate the greatest common divisor of 12 and 948.
12
What is the highest common factor of 11858 and 726?
242
What is the greatest common divisor of 182 and 442?
26
What is the highest common factor of 27 and 1251?
9
What is the highest common divisor of 11 and 473?
11
What is the greatest common factor of 7 and 8?
1
Calculate the highest common divisor of 2 and 22.
2
What is the greatest common divisor of 1230 and 150?
30
Calculate the greatest common factor of 7340 and 20.
20
Calculate the greatest common divisor of 168 and 108.
12
Calculate the highest common factor of 532 and 49.
7
Calculate the highest common factor of 1428 and 1764.
84
Calculate the highest common factor of 187 and 495.
11
What is the highest common divisor of 27 and 675?
27
Calculate the greatest common divisor of 135 and 621.
27
Calculate the highest common factor of 187 and 22.
11
Calculate the highest common divisor of 12 and 184.
4
Calculate the greatest common divisor of 682 and 62.
62
What is the highest common factor of 220 and 484?
44
What is the highest common factor of 19 and 9671?
19
What is the greatest common factor of 380 and 17860?
380
Calculate the greatest common factor of 90 and 745.
5
What is the highest common divisor of 3 and 213?
3
What is the greatest common factor of 136 and 3094?
34
What is the highest common divisor of 133 and 21?
7
Calculate the greatest common divisor of 323 and 34.
17
Calculate the highest common divisor of 70 and 112.
14
What is the highest common factor of 378 and 14?
14
Calculate the highest common factor of 116 and 2552.
116
What is the highest common divisor of 28 and 112?
28
What is the greatest common divisor of 21583 and 382?
191
Calculate the greatest common factor of 10 and 14830.
10
Calculate the highest common factor of 13 and 107159.
13
Calculate the greatest common factor of 9204 and 156.
156
What is the greatest common factor of 98 and 210?
14
What is the highest common divisor of 826 and 1062?
118
What is the highest common divisor of 64 and 112?
16
What is the highest common factor of 48 and 1704?
24
Calculate the highest common divisor of 5394 and 124.
62
What is the highest common factor of 17 and 2227?
17
What is the highest common factor of 10 and 290?
10
Calculate the greatest common factor of 12 and 636.
12
What is the highest common divisor of 185 and 37?
37
Calculate the greatest common divisor of 5494 and 268.
134
Calculate the greatest common factor of 17 and 37757.
17
What is the highest common factor of 1165 and 5?
5
What is the greatest common divisor of 22 and 54?
2
Calculate the greatest common divisor of 245 and 385.
35
Calculate the highest common divisor of 60 and 5070.
30
What is the greatest common factor of 44 and 308?
44
What is the greatest common divisor of 642 and 30?
6
Calculate the highest common divisor of 53 and 212.
53
Calculate the greatest common factor of 1665 and 63.
9
Calculate the greatest common divisor of 368 and 322.
46
What is the highest common divisor of 2325 and 186?
93
What is the greatest common factor of 2059 and 568?
71
Calculate the highest common factor of 154 and 140.
14
Calculate the highest common divisor of 1118 and 78.
26
What is the highest common factor of 68 and 20434?
34
What is the greatest common factor of 10 and 19210?
10
What is the greatest common factor of 100 and 64?
4
Calculate the greatest common factor of 108 and 432.
108
What is the highest common divisor of 1095 and 15?
15
Calculate the highest common divisor of 105 and 30.
15
Calculate the highest common divisor of 324 and 4.
4
What is the greatest common factor of 726 and 462?
66
What is the highest common factor of 735 and 70?
35
What is the highest common divisor of 20 and 54?
2
What is the greatest common factor of 1135 and 20?
5
What is the highest common factor of 21 and 174?
3
What is the highest common divisor of 20 and 680?
20
Calculate the highest common divisor of 29136 and 36.
12
What is the highest common divisor of 49 and 28?
7
Calculate the greatest common factor of 923 and 1937.
13
Calculate the greatest common factor of 2342 and 6.
2
Calculate the highest common divisor of 16 and 36.
4
Calculate the highest common divisor of 67 and 2.
1
Calculate the highest common factor of 45 and 153.
9
What is the greatest common factor of 70 and 50?
10
Calculate the highest common factor of 621 and 759.
69
What is the greatest common factor of 96 and 2592?
96
Calculate the greatest common divisor of 144 and 72.
72
Calculate the highest common divisor of 402 and 12.
6
What is the highest common factor of 11663 and 763?
109
What is the highest common factor of 2 and 4?
2
What is the greatest common factor of 120 and 25720?
40
Calculate the greatest common divisor of 186 and 14.
2
Calculate the highest common divisor of 51 and 119.
17
What is the greatest common factor of 114 and 494?
38
What is the highest common factor of 2444 and 564?
188
What is the greatest common divisor of 885 and 60?
15
Calculate the greatest common factor of 616 and 33.
11
Calculate the greatest common divisor of 1838 and 4.
2
What is the greatest common divisor of 107 and 146269?
107
What is the greatest common factor of 84949 and 19?
19
Calculate the greatest common divisor of 31 and 837.
31
Calculate the highest common factor of 1311 and 138.
69
Calculate the highest common factor of 10 and 450.
10
What is the highest common divisor of 30 and 13060?
10
What is the highest common divisor of 20 and 52?
4
Calculate the greatest common divisor of 36 and 207.
9
Calculate the greatest common divisor of 225 and 25.
25
Calculate the highest common factor of 34 and 221.
17
Calculate the greatest common divisor of 203 and 493.
29
Calculate the highest common divisor of 19 and 2185.
19
What is the highest common factor of 20 and 820?
20
Calculate the greatest common factor of 2955 and 30.
15
What is the greatest common factor of 15 and 2630?
5
Calculate the greatest common divisor of 80 and 880.
80
What is the highest common factor of 558 and 36?
18
What is the highest common factor of 11704 and 112?
56
Calculate the highest common factor of 144 and 192.
48
What is the greatest common divisor of 570 and 690?
30
Calculate the highest common divisor of 90 and 4770.
90
Calculate the greatest common factor of 32 and 264.
8
What is the greatest common divisor of 69 and 92?
23
Calculate the highest common factor of 40975 and 275.
275
Calculate the highest common factor of 496 and 1116.
124
Calculate the greatest common divisor of 1406 and 2280.
38
Calculate the greatest common factor of 2912 and 65.
13
Calculate the greatest common factor of 280 and 180.
20
Calculate the highest common divisor of 27 and 4572.
9
What is the highest common divisor of 144 and 828?
36
Calculate the greatest common factor of 3887 and 2392.
299
Calculate the greatest common divisor of 2368 and 64.
64
Calculate the greatest common divisor of 2619 and 27.
27
Calculate the highest common divisor of 15 and 57.
3
What is the greatest common factor of 348 and 12?
12
What is the highest common factor of 285 and 1900?
95
Calculate the greatest common factor of 49 and 3283.
49
Calculate the highest common factor of 86 and 129.
43
Calculate the highest common divisor of 220 and 22.
22
Calculate the greatest common divisor of 7 and 175.
7
What is the highest common factor of 18 and 270?
18
Calculate the greatest common divisor of 21 and 5901.
21
Calculate the greatest common divisor of 4 and 5636.
4
What is the highest common divisor of 1 and 3?
1
Calculate the greatest common diviso | {
"pile_set_name": "DM Mathematics"
} |
t(5)
Simplify (sqrt(300) + -2*sqrt(300)*2)/(-2*(1*sqrt(64) - sqrt(4))).
5*sqrt(3)/2
Simplify 6*(sqrt(162)/(sqrt(6)*2 + sqrt(6)) + (-6*((sqrt(27) - 1*sqrt(27)) + sqrt(27)))**2)*-1.
-5832 - 6*sqrt(3)
Simplify 3 + (4*(0 + sqrt(288)) + sqrt(288) + 2 + 5)**2 + -3.
840*sqrt(2) + 7249
Simplify ((sqrt(220)/(sqrt(5) - sqrt(20)/(sqrt(4)*-2)))/(sqrt(16)/((sqrt(40)*1)/sqrt(10))))**2.
44/9
Simplify -2 + sqrt(11) + 1 - (sqrt(11) + 0)*3 - ((sqrt(275) + 1 + sqrt(275) - sqrt(275))**2 + (1*sqrt(396))**2).
-673 - 12*sqrt(11)
Simplify ((sqrt(972)*-3*2)/((sqrt(5324)*3 + sqrt(44) + sqrt(44))/sqrt(11)))**2.
8748/1225
Simplify 5*((sqrt(68)*3 + 5 + (-1 + sqrt(68) + 5 - sqrt(68)))*-4)**2.
8640*sqrt(17) + 55440
Simplify (sqrt(60)/sqrt(5) - (0 + sqrt(3) + 3)) + -5*((sqrt(27)/sqrt(9) - sqrt(3))*-2)**2.
-3 + sqrt(3)
Simplify (1 + sqrt(700) + -2 + sqrt(700) - (3*(-1 + sqrt(700) + sqrt(700)) - sqrt(700)))**2 + -2.
-120*sqrt(7) + 6302
Simplify (-3*sqrt(133)*2)/(3*sqrt(7)*-3) + -5.
-5 + 2*sqrt(19)/3
Simplify -4*-3*(2 + sqrt(7) + 1 - (2*sqrt(35)/sqrt(5))**2).
-300 + 12*sqrt(7)
Simplify -6*(((sqrt(7260) - ((-2*1*sqrt(7260) - sqrt(7260)) + sqrt(7260) - sqrt(7260)) - sqrt(7260)) + sqrt(7260))/(sqrt(432) - sqrt(432)*-2*-1))**2.
-4840/3
Simplify (sqrt(171)/(sqrt(3)*5))/(sqrt(240)/sqrt(5)).
sqrt(19)/20
Simplify 0 + -5 + -5*sqrt(1053) + 5 + -3.
-45*sqrt(13) - 3
Simplify ((sqrt(22)*3*-6*-2)/(sqrt(12)/(-6*((sqrt(6) - sqrt(294)) + sqrt(6)))))**2.
12830400
Simplify (-3 + sqrt(2448) + sqrt(2448) + 3 + (sqrt(17) - sqrt(187)/sqrt(176)))**2.
166617/16
Simplify (-2*sqrt(1300) + 0)*-6 + (5*(sqrt(1872) + -2 + -3))**2.
-2880*sqrt(13) + 47425
Simplify -5 + ((-2*(sqrt(190) - (sqrt(190) + (-2*sqrt(190) - sqrt(190))))*1)/(sqrt(250)*-1 - sqrt(10) - -1*sqrt(1000)))**2.
151/4
Simplify -6*(sqrt(11) - (sqrt(11) + 2))*4 + (-3 + (sqrt(1584) + 2 - sqrt(1584)) - sqrt(1584)).
-12*sqrt(11) + 47
Simplify -5 + (sqrt(104) - 2*(sqrt(104) - (sqrt(104) - 2*sqrt(104))))/(sqrt(200)*4).
-5 - 3*sqrt(13)/20
Simplify sqrt(11) + (-5*(1 + sqrt(11)))**2 + (sqrt(55)/(sqrt(5) - sqrt(180)) - sqrt(11)) - (sqrt(539)*-2*5 + 1).
299 + 599*sqrt(11)/5
Simplify -3*((sqrt(1584) + sqrt(1584) + 0 + (-1 + sqrt(11))*4)**2 + -2).
-25914 + 672*sqrt(11)
Simplify -5 + (-1*(4 + sqrt(272)*-1 + 4))**2.
-64*sqrt(17) + 331
Simplify ((3*((-2*sqrt(1539) - sqrt(1539))*-1 + sqrt(1539)))**2 + -3)*-5.
-1108065
Simplify sqrt(6)/(sqrt(12)/(sqrt(16)/sqrt(4))) - (-1*-2*sqrt(242))**2.
-968 + sqrt(2)
Simplify (sqrt(1700) - (sqrt(1700) - 6*-2*sqrt(1700) - sqrt(1700)))**2 + 0 + sqrt(187)/sqrt(275).
sqrt(17)/5 + 205700
Simplify ((1*sqrt(91) - sqrt(91))*4)/sqrt(7) + (3*sqrt(130)*-5)/sqrt(10).
-15*sqrt(13)
Simplify ((sqrt(140) - 4*2*sqrt(140))/sqrt(10))/(sqrt(242)*-1*-5).
-7*sqrt(7)/55
Simplify (-1*(sqrt(187) - (sqrt(187) - (-2*sqrt(187) + sqrt(187))*1)))/((sqrt(11) - -5*(sqrt(44) + sqrt(11))) + (sqrt(121)*1)/sqrt(11)).
sqrt(17)/17
Simplify (2*(sqrt(190) - 2*sqrt(190)) + -3*-2*sqrt(190))/(sqrt(70)/((sqrt(336)/sqrt(8))/sqrt(6))).
4*sqrt(19)
Simplify -1 + 1 + ((-1*sqrt(5))**2 - sqrt(5))*-4 - ((sqrt(100)/(sqrt(30)/sqrt(3)))/(sqrt(2)*1*3))**2.
-185/9 + 4*sqrt(5)
Simplify ((sqrt(5) - (sqrt(60)/(sqrt(12)*-2))**2) + sqrt(5))*-4*5 - (-2*sqrt(500) + sqrt(180)*4).
-44*sqrt(5) + 25
Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + (sqrt(77) + (sqrt(77) - -1*sqrt(77))*-1 - sqrt(77)))) - sqrt(77)*-1*-5)/(sqrt(132)/(sqrt(540)/sqrt(5))))**2.
252
Simplify (2*2*sqrt(30)/(sqrt(18)/(sqrt(15)/sqrt(5))))**2.
80
Simplify -5*((-4 + -1*sqrt(1216) - sqrt(1216)) + 1)*-3.
-240*sqrt(19) - 45
Simplify (-5 + sqrt(252) + sqrt(7) - (sqrt(35)*4)/sqrt(5))*2.
-10 + 6*sqrt(7)
Simplify (sqrt(200) - (5 + 2*sqrt(200))**2) + (-1*sqrt(200) + 0)**2 - (4 + sqrt(288) + ((1 + sqrt(1800))**2 - sqrt(18))).
-2430 - 259*sqrt(2)
Simplify (5*(sqrt(20) + -5) - sqrt(45)/((2*sqrt(54))/sqrt(6)))*-6.
-57*sqrt(5) + 150
Simplify ((sqrt(3087) - 1*sqrt(3087))*5)/(sqrt(18)/(sqrt(32) - sqrt(2)) - (sqrt(9) + 1*sqrt(9)*-1)).
0
Simplify (-5*-5*(((sqrt(3) + sqrt(3) + -1)*4 - sqrt(27)/(sqrt(18)/sqrt(2))) + 4 + 2 + sqrt(108) + sqrt(108)))**2.
47500*sqrt(3) + 679375
Simplify -4 + 5 + 4 + (1*sqrt(288))**2 + -4.
289
Simplify (-4 + (sqrt(720) + 5)*6 + -1 + -4*sqrt(720))**2.
1200*sqrt(5) + 3505
Simplify (((2 + (sqrt(252) - (sqrt(252) + -1)) - 3*-1*sqrt(252)) + 4 + 1 + sqrt(252) + -2)*5)**2.
7200*sqrt(7) + 101700
Simplify ((sqrt(72)/sqrt(2) + sqrt(36))*-4)/(sqrt(120)/(sqrt(10) - sqrt(360))).
40*sqrt(3)
Simplify -6*(-4*sqrt(18)*1)**2 - (-3 + (2*sqrt(216) - sqrt(216))/sqrt(12)).
-1725 - 3*sqrt(2)
Simplify (3 + 0 + sqrt(192) + sqrt(192) - sqrt(192)*1*-1) + (2*sqrt(192))**2*5*-3.
-11517 + 24*sqrt(3)
Simplify ((sqrt(242) + 2 + 0 - sqrt(242))**2 - (-5*(sqrt(242) - (1 + sqrt(242) - sqrt(242))) - sqrt(242)))*3.
-3 + 198*sqrt(2)
Simplify (3 + -1*sqrt(68) + sqrt(51)/sqrt(3) + 2 + (1 + sqrt(1377))*3 + -1)**2.
364*sqrt(17) + 11541
Simplify (6*2*sqrt(11)*-4)**2 - -4*(0 + (sqrt(11) - (sqrt(275) + sqrt(11) - sqrt(11))**2)).
4*sqrt(11) + 24244
Simplify -3 + -5 + (5*(sqrt(847) + (4*(sqrt(847) + -2 + sqrt(847)) - sqrt(847))))**2 + -3.
-35200*sqrt(7) + 1356789
Simplify (-1 + -1*sqrt(7) + sqrt(7) + 3 - sqrt(14)/(sqrt(6)/(sqrt(3) + (sqrt(147) - sqrt(3))) - sqrt(2)))**2.
14*sqrt(7)/3 + 487/36
Simplify 1 + ((-1*sqrt(110) - sqrt(110))*3 - (sqrt(110) - 1*sqrt(110)*3))/(sqrt(360) + (sqrt(360) - (-4*(sqrt(360) - -2*sqrt(360)) + sqrt(360)))).
-2*sqrt(11)/39 + 1
Simplify ((sqrt(143)*-4 + sqrt(143))*-4*2)/(sqrt(132)/(-1*sqrt(432))).
-144*sqrt(13)
Simplify (sqrt(60)/(1*(sqrt(108) - sqrt(12) - sqrt(12))) + sqrt(640)/sqrt(8) + 4)**2.
40*sqrt(5) + 141
Simplify (-2*(sqrt(187)*-2 + sqrt(187) - sqrt(187)))/(2*sqrt(33)/sqrt(3)) + -5.
-5 + 2*sqrt(17)
Simplify 1 + -5 + (sqrt(19) + (sqrt(76) - sqrt(19))*5 + sqrt(209)/(2*sqrt(11)) + (-2*sqrt(95)*-5)/sqrt(5))**2.
20675/4
Simplify -3 + (1 + sqrt(99)*-1 + 2 - ((sqrt(99) - (sqrt(99)*2 + 4)) + (sqrt(99) - (-2 + sqrt(99) + -1 + sqrt(99)))**2 + sqrt(99))).
-104 + 15*sqrt(11)
Simplify ((-4 + sqrt(1800) + 1)*-5)**2*1.
-4500*sqrt(2) + 45225
Simplify ((sqrt(160)*6)/sqrt(10))/(sqrt(8) - (sqrt(24)/sqrt(3) + sqrt(8))*1).
-6*sqrt(2)
Simplify -3 + sqrt(162)*1*-3 + 3.
-27*sqrt(2)
Simplify (1 + (0 + -1*sqrt(1088) - (-1*sqrt(1088) + -2))**2)*-1.
-5
Simplify 2 + ((sqrt(76) - (2*sqrt(76) + sqrt(76) + sqrt(76)))*-4)/(sqrt(28)/sqrt(112) - sqrt(4)) + -1 + 1.
-16*sqrt(19) + 2
Simplify ((sqrt(228)*-1)/sqrt(12)*-2 - -1*(5 + sqrt(57)/sqrt(3)))**2.
30*sqrt(19) + 196
Simplify (sqrt(704)*4 + 0)**2 - (-3*sqrt(704)*6)**2.
-216832
Simplify 5 + (-1*sqrt(500) + (sqrt(5) - (sqrt(5) - 2*sqrt(320))))*3 + 5.
10 + 18*sqrt(5)
Simplify ((-2*(sqrt(1100) + -1 + sqrt(1100)) - sqrt(77)/(-4*(sqrt(7) + sqrt(28))))*6)**2.
-5748*sqrt(11) + 2524427/4
Simplify (-4*2*sqrt(117) + sqrt(117)*-2*-5)/(sqrt(81)/(sqrt(9) - (sqrt(36) + sqrt(9))) + sqrt(36)/sqrt(4)*-2).
-4*sqrt(13)/5
Simplify (1*sqrt(704) + -3)**2 + (sqrt(77)/(sqrt(28) - sqrt(7)))**2 + -2 + 4.
-48*sqrt(11) + 726
Simplify -6*(-2*sqrt(2736)*4)**2 - ((sqrt(57)/sqrt(3)*-1)**2 - (sqrt(152)/sqrt(2) + sqrt(19))).
-1050643 + 3*sqrt(19)
Simplify (((sqrt(150)/sqrt(3))/sqrt(5)*4)/((sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200)*3 + sqrt(200) + sqrt(200))*2))**2.
1/405
Simplify -2 + (sqrt(300) + (sqrt(300) - 1*sqrt(300) - sqrt(300)))**2*3 + 3 + (sqrt(300) - (sqrt(300) + 3)).
-2
Simplify -4*(2 + 4*1*sqrt(192)*6)**2.
-442384 - 3072*sqrt(3)
Simplify 0 + (1 + -1*sqrt(17) + sqrt(17))*-2 + 3.
1
Simplify (((sqrt(143)*-2)/sqrt(11) - sqrt(13) - ((sqrt(26)/sqrt(2))**2 + 3)) + ((sqrt(1300) + 0)*5 - sqrt(1300)))*4.
-64 + 148*sqrt(13)
Simplify sqrt(15)/(sqrt(500)*3 + sqrt(500)) + sqrt(36)/(sqrt(12) - (sqrt(12) + -4*sqrt(12)))*3.
31*sqrt(3)/40
Simplify ((sqrt(2304)*2)/((sqrt(24)*-4)/sqrt(2) - sqrt(12)))**2.
768/25
Simplify (sqrt(567) + 1 + 3 - (sqrt(567) + (sqrt(567) + 2)**2)*-3)*5*3.
2160*sqrt(7) + 25755
Simplify (-5*(sqrt(117)*2 + sqrt(117)) - (sqrt(117) + (-1*sqrt(117)*3 - sqrt(117))))/((sqrt(9) + sqrt(1089)*-2)*-6)*3.
-2*sqrt(13)/7
Simplify ((sqrt(22)/sqrt(2)*-3 - sqrt(11))*-5 + -3)**2*3.
-360*sqrt(11) + 13227
Simplify (6*sqrt(56)*1*4)/((sqrt(56) - (3*sqrt(3584) - sqrt(3584)))/sqrt(7)).
-8*sqrt(7)/5
Simplify (((sqrt(240)*2 + sqrt(240) + sqrt(240) - sqrt(240)) + sqrt(240))/sqrt(4))/(2*sqrt(432)).
sqrt(5)/3
Simplify 5 + (sqrt(77) + 4*(( | {
"pile_set_name": "DM Mathematics"
} |
*4/12 - 19*g**3/6 - 31*g**2 - 79*g. Is s(-10) a multiple of 4?
True
Suppose 0 = 12*r - 356 - 28. Suppose 35*b - 61 = r*b + 2*y, y = 4*b - 88. Is b a multiple of 3?
False
Let g(r) = -31*r**2 + 2*r - 4. Let w = -16 + 18. Let t be g(w). Is (4/(-4))/((-2)/t*-1) a multiple of 10?
False
Let w = 1241 - 781. Suppose -2131 = -3*g - 2*h, -2*g + 970 + w = -h. Is 23 a factor of g?
True
Let a be (-1 + 11)/(3 + (-1 - 0)). Suppose 0 = -a*l - 2*l + 35. Suppose -l*d = -478 + 158. Is 8 a factor of d?
True
Is (1240624/55)/28*(-30)/(4/(-2)) a multiple of 106?
True
Let m(x) = x**3 + 3*x**2 + x - 17. Let i be m(6). Let r = i - 78. Does 47 divide r?
True
Suppose -110*j + 107*j + 1088 = 2*a, 1456 = 4*j + 4*a. Does 30 divide j?
True
Suppose 0 = -10*w + 36*w - 20436. Let q(d) = -d**3 + 11*d**2 - 8*d - 13. Let g be q(10). Suppose z - g*z = -w. Does 18 divide z?
False
Suppose 10*o = 1702 + 31798. Suppose 892 + o = 14*k. Is 5 a factor of k?
False
Suppose -7*j + 13*j = 0. Let k = 5 + j. Suppose 0 = 3*m - 65 + k. Is m a multiple of 5?
True
Suppose -4*s + 8524 = 2*j, 54*j - 52*j - 8559 = s. Is 15 a factor of j?
False
Let i(t) = -56*t + 89. Let v be i(-9). Let y = -321 + v. Is y a multiple of 34?
True
Let q(t) = -3*t**3 - 35*t**2 - 267*t - 12. Is 12 a factor of q(-12)?
True
Let u(v) = 120*v**2 - 23*v - 82. Let w = 421 - 424. Is 15 a factor of u(w)?
False
Let j = -303 + 441. Suppose y - 129 = j. Suppose -7*k + 2*k = 4*a - y, -114 = -2*a + 4*k. Is a a multiple of 9?
True
Let v(u) = u**2 - u - 8. Let i(g) = 2*g**2 - 10*g + 5. Let l be i(4). Let c be v(l). Suppose 5*a + c*o - 233 = 0, -7*o + 187 = 4*a - 4*o. Does 7 divide a?
True
Suppose k - 316*i = -315*i + 10615, k + 3*i - 10595 = 0. Is k a multiple of 27?
False
Let s(w) = 2*w + 15. Let o be s(-6). Suppose x + 3*l - o = -x, -2*x + l = -15. Does 13 divide 311/x + 7/42?
True
Let i = -68 - -418. Let p(o) = -o**2 + 6*o + 4. Let n be p(6). Suppose n*q - 585 = 5*z, 80 = 3*q - 2*z - i. Does 28 divide q?
True
Let p = -11416 - -23138. Is 15 a factor of p?
False
Let c = 792 + -376. Suppose -5*x + 2*x = 2*u - c, -5*u = -4*x + 524. Is x a multiple of 16?
False
Suppose 0 = -13*z + 117, 3*y - 32052 = 18*z - 23*z. Is y a multiple of 8?
False
Let k(r) = 170*r + 2624. Is 42 a factor of k(-10)?
True
Let g(h) = h**2 + h - 3. Let o be g(2). Let d be (-2 - -2) + -1 + o. Suppose -276 = -3*z + d*j, z = 3*j + 89 - 4. Is z a multiple of 12?
False
Suppose -5*k + 2*x = -3*x - 10, 11 = 5*k - 4*x. Suppose -3*n + 2*m = -163, 2*m - k*m + 263 = 5*n. Suppose -n = 8*h - 893. Does 21 divide h?
True
Let p(i) = i**3 - 110*i**2 + 95*i - 258. Is 98 a factor of p(110)?
True
Let u = 250 - 252. Is 56 a factor of u - 11/((-55)/1130)?
True
Suppose 900 + 6247 = 8*s - 2853. Does 10 divide s?
True
Suppose -74*b + 79*b = 60. Suppose -7*z + b*z + 60 = 0. Does 4 divide (z/(-10))/(-6*5/(-375))?
False
Let u be -6 + 26/4 - (-2308)/(-8). Let z = u + 1013. Is z a multiple of 13?
False
Suppose 5*t = -10*t. Suppose 8*o - 31 - 9 = t. Suppose -o*j - 8 = -j, -248 = -4*w - 4*j. Is 5 a factor of w?
False
Let n(l) be the second derivative of 4*l**4/3 - 2*l**3 - 3*l**2/2 - 3*l. Let i(s) = -67*s - 270. Let j be i(-4). Is 23 a factor of n(j)?
False
Suppose 13*r = 18*r - 1100. Let z = -145 + r. Does 3 divide z?
True
Suppose -13*z + 90511 = -25410. Suppose 20567 = 39*g - z. Does 47 divide g?
False
Suppose 14*c + 25 = 9*c. Let r(t) = -39*t - 14. Is 22 a factor of r(c)?
False
Let w(q) = -9*q**3 + 14*q**3 - 11 + 12*q - 20*q - 3*q**2 - 6*q**3 - q. Let a = -4 - 1. Is 42 a factor of w(a)?
True
Let x = 192 - 57. Let i = 347 - x. Is i a multiple of 15?
False
Let t(d) = -d**2 - 5*d + 2. Let s be 2/5 - (-156)/(-15). Let h be t(s). Let g = 52 + h. Is g a multiple of 2?
True
Let y(h) be the first derivative of 3*h**2/2 - 2*h + 8. Is 5 a factor of y(11)?
False
Suppose 4*d - 12 = -2*f, f + 3 = -d + 4. Suppose -c = -d*c + 980. Is 49 a factor of c?
True
Let y(j) = -346*j**2 - 17*j - 16. Let s be y(-1). Let m = 386 + 114. Let p = s + m. Is p a multiple of 31?
True
Suppose -4*y + a + 159 = 0, 0 = 4*y + y - 3*a - 197. Let k = y - 24. Is (k/6)/(-6*6/(-432)) a multiple of 8?
True
Let c be (-4 - 550/(-125))/((-2)/(-755)). Let u(i) = -i**3 + 4*i**2 - 2. Let q be u(2). Suppose -q*y = -565 + c. Does 23 divide y?
True
Suppose 3*n + 264 = 9*n. Suppose 0 = -6*i + n*i - 11438. Is 43 a factor of i?
True
Suppose 371 = d + 3*c, 0*d + d + c = 375. Let w(o) = -o**3 + 10*o**2 - 14*o + 8. Let q be w(11). Let m = q + d. Is 48 a factor of m?
False
Let r(t) = -2*t**3 - 24*t**2 + 145*t. Does 5 divide r(-25)?
True
Let l = 21474 + -13794. Does 16 divide l?
True
Let p = 3855 - 2514. Is 79 a factor of p?
False
Let p be (-10 + 9)*1*-3. Suppose -p*c + 2 = 8. Does 23 divide (1 + -8)/(c/12)?
False
Let r = 232 + -52. Suppose 3*l - 213 = -5*p, -3*p + 5*l = -83 - 38. Suppose -p*n - r = -43*n. Is 45 a factor of n?
True
Let p(x) = 151*x + 843. Is p(46) a multiple of 7?
False
Let w(d) = 23*d**2 + 2*d + 2. Let q be w(-8). Suppose h = -y + 618, 1647 + q = 5*h + 2*y. Is 18 a factor of h?
False
Suppose 5*y = -0*k - 4*k - 26, -5*k - 12 = -4*y. Let u be (77/14)/(((-1)/k)/1). Suppose u - 69 = -x. Is 27 a factor of x?
False
Is 47 a factor of (6834/(-459))/((-4)/18)?
False
Suppose 301*u - 279*u = 8822. Is 16 a factor of u?
False
Suppose -5*g + 1505 + 515 = 0. Let p = g + -276. Is p a multiple of 32?
True
Let g(q) = 3*q**2 - 31*q + 193. Let i be g(6). Suppose -119*b + 2604 = -i*b. Is 34 a factor of b?
False
Let u = -37 - -25. Let t(r) = r**2 + 12*r + 17. Let z be t(u). Let l(o) = o**2 - 14*o + 20. Is 13 a factor of l(z)?
False
Suppose 1403*g - 1390*g - 169 = 0. Suppose -5*f + 72 + 33 = 0. Suppose g*c + 928 = f*c. Does 22 divide c?
False
Let u = 460 + -458. Suppose -2*n + u*l + 706 = 0, 0 = -5*n - 0*n - 5*l + 1755. Is n a multiple of 44?
True
Let l(h) = -8*h - 56. Let u be l(-8). Suppose x = -u + 10, 4*b - 116 = 4*x. Does 2 divide b?
False
Suppose 5*s = -5*n + 6*n + 24, -5*n - 28 = -2*s. Let r be 4/(n/327) - -2. Let t = r - -484. Is t a multiple of 9?
False
Suppose j = -28 + 32. Suppose 2*s - 114 = -j*u, 7*u - 4*u - 4*s - 102 = 0. Is u a multiple of 18?
False
Suppose -5*j = 4*o + 235 - 3365, 0 = -2*j - 5*o + 1252. Let d = -402 + j. Is 25 a factor of d?
False
Let x(s) = 2*s**2 - 6*s + 4. Let g be x(4). Suppose -8*m = m - 369. Let l = m - g. Is l a multiple of 29?
True
Let o be (-30)/(-75) - (-63)/5. Let l = -8 + o. Suppose -2*q = 4*b - 280, 4*b - 388 + 94 = l*q. Is 17 a factor of b?
False
Suppose -4*x + 5*x = w + 38, -x = 2*w + 76. Let y = w + 37. Does 5 divide 2/((-4)/6) + (-15)/y?
False
Suppose -26 = -8*y - 2. Suppose -z = -5*f - 2 - 12, -2*z + y*f = -14. Is 49 a factor of 2066/14 + z/(-7)?
True
Let h be (11442/27 - 0) + 8/36. Suppose 2*u + 2*u - 134 = -t, u - h = -3*t. Is 11 a factor of t?
False
Let x(m) = m**2 - 3*m - 16. Suppose -18 = -y - 7. Let b = y - 4. Does 12 divide x(b)?
True
Let s(z) = z**3 + 3*z**2 - 5*z - 6. Let l be s(-4). Let r = l - 30. Let h = -2 - r. Is h a multiple of 10?
True
Suppose 6*u - 15 = 15. Suppose -4*b = -b + u*v - 80, 2*v = -4*b + 130. Does 35 divide b?
True
Let m(f) = f**3 + 11*f**2 - 12*f - 1. Let q be -1*(-52)/(-4) + 1. Let o be m(q). Does 12 divide (o/(-2))/((-2)/(-120))?
False
Let x(h) = -5*h**3 - h**2 + 28*h - 12. Does 14 divide x(-5)?
True
Let h(w) = -39*w - 15*w**2 + 7*w**3 + 371 - 16*w**2 - 382 - 8*w**3. Is 20 a factor of h(-30)?
False
Let w = 996 + -282. Is (6/(-4))/((-17)/w) a multiple of 21?
True
Let i(k) = 22*k**2 + 32*k + 33 - 14*k**2 - 9*k**2. Is 28 a factor of i(27)?
True
Let v = -13257 + 30490. Is 35 a factor of v?
False
Let d be 355/(-7) + 5/7 + -1. Let l = d - -43. Let i = l - -48. Is i a multiple of 20?
True
Let p = 67 + -64. Does 34 divide 226 - (-3 - -12)*p/(-9)?
False
Let k(g) = g**3 - 6*g**2 - 16*g + 4. Let m be k(8). Suppose -3*b + 572 = m*w, -w - 3*b + 205 = 53. Is w a multiple of 7?
True
Let d be 24/6 + 1014 + -2. Suppose 0 = 3*g + x - 1512, -2*x - d = g - 3*g. Is g a multiple of 13?
False
Suppose -2 = 2*l, -2392 = -3*q - 2*l + 222. Does 2 divide q?
True
Let z = -36 - -39. Suppose -z*t - t = -12. Suppose -s - 221 = -t*h + s, -4*h + 308 = 4*s. Is 14 a factor of h?
False
Let a = -3 - -4. Let g(z) = -36*z - 304. Let h be g(-9). Is a + -2 + (-15)/h*-28 a multiple of 5?
True
Let m(u) = -u**3 + 42*u**2 | {
"pile_set_name": "DM Mathematics"
} |
1*o**2 - 4*o**2 wrt o.
-48
Let s = 34 + -32. Find the third derivative of 65*r**6 - 46*r**6 - 15*r**s - 2*r + 2*r wrt r.
2280*r**3
Suppose 0 = -5*g + 15, -4*g + 9*g = -3*s + 69. Suppose -18 = -20*c + s*c. Find the second derivative of -137 - c*m + 2*m + 8*m**4 + 137 wrt m.
96*m**2
Let m(i) be the second derivative of 0 - 6*i - 3/4*i**4 + 0*i**3 + 7*i**2. Differentiate m(n) with respect to n.
-18*n
Let x(t) be the first derivative of -67*t**6/3 - 101*t**3/3 - 123. What is the third derivative of x(u) wrt u?
-8040*u**2
Let b be 2/5 + 3/5. Let v be 15/(-6)*(-3 + b). Find the third derivative of 4*g**5 - 4*g**v - 8*g**2 - 2*g**5 + 3*g**2 wrt g.
-120*g**2
Find the first derivative of -19*r**2 + 25 + r**2 - 72*r**2 - 27*r**2 wrt r.
-234*r
Let i(y) be the third derivative of 59*y**7/210 + y**4/24 - 36*y**2 - y. What is the second derivative of i(k) wrt k?
708*k**2
Let x(a) = 20*a**4 + 10*a**3 - 5*a**2 - 5*a - 8. Let b(c) = 2*c**3 - c**2 - 1. Let o(j) = 5*b(j) - x(j). Find the second derivative of o(l) wrt l.
-240*l**2
Let i = 0 - -2. Let s(b) = b + 18. Let j be s(-12). Differentiate 13*h**i - j*h**2 + 0 + 3 wrt h.
14*h
Let o(d) be the first derivative of d**6/6 - 17*d**3 + 187*d**2/2 - 6. What is the second derivative of o(a) wrt a?
20*a**3 - 102
Let l = -108 + 114. Find the first derivative of -l + 17 - 3 - 11*a**2 wrt a.
-22*a
Let z(x) be the first derivative of -x**3/3 + 9*x**2 - 34*x + 57. What is the first derivative of z(t) wrt t?
-2*t + 18
Let v(c) = -c**4 + c. Let h(r) = -2*r. Let d(x) = -26*x. Let u(q) = d(q) - 6*h(q). Let s(y) = u(y) - 2*v(y). Find the second derivative of s(m) wrt m.
24*m**2
Let n(l) be the second derivative of -l**7/840 - 11*l**5/120 + 5*l**4/3 + 29*l. Let u(a) be the third derivative of n(a). What is the derivative of u(v) wrt v?
-6*v
Suppose -2*g = -s - 21, 3*s + 4 + 5 = 0. Differentiate 12*v**4 - 5 + g*v**4 - 14*v**3 + 14*v**3 with respect to v.
84*v**3
Suppose -b + 2 = -0*b. Find the third derivative of 3*h**2 - b*h**2 - 13*h**2 + 7*h**6 + 4*h**6 wrt h.
1320*h**3
Let l(v) be the third derivative of -23*v**7/105 + 45*v**5/4 + 971*v**2. Find the third derivative of l(s) wrt s.
-1104*s
Let f = 49 + -44. Let w(d) = -16*d - 39. Let a(q) = 11*q + 26. Let r(j) = f*w(j) + 7*a(j). Find the first derivative of r(s) wrt s.
-3
Let s = 3 - 0. Let p(c) be the first derivative of -13/5*c**5 + 0*c**2 + 0*c**4 + 3 + 0*c**s - c. What is the derivative of p(j) wrt j?
-52*j**3
Let r(y) = -94*y**2 - 12*y - 4. Let p(x) = -2*x**2 + 1. Let z(j) = -2*p(j) - r(j). Find the second derivative of z(t) wrt t.
196
Let x(o) = -11*o**4 + 4*o**3 + o**2 + 41. Let r(j) = 21*j**4 - 7*j**3 - 2*j**2 - 83. Let m(l) = -6*r(l) - 10*x(l). What is the third derivative of m(s) wrt s?
-384*s + 12
Let g(t) = t**4 - 70*t**3 - 258*t**2 + 5*t - 11. Let i(f) = -f**4 - f**2 - f + 2. Let o(b) = -g(b) - 5*i(b). Find the third derivative of o(d) wrt d.
96*d + 420
Differentiate 186 + 6*l**2 + 8*l + 79 - 5*l**2 wrt l.
2*l + 8
Let d be 5*(192 - 3) - 3. Differentiate -22 - 38*r**3 - d*r + 942*r wrt r.
-114*r**2
Let c = 35 + -14. Suppose c*a = 16*a + 20. Find the first derivative of 2*o**3 - o**3 - a*o**4 + 2 - o**3 wrt o.
-16*o**3
Let b be 0/(-3) + (-6)/(-2). Suppose 0 = 5*f - b*s - 19, -5*f - 3*s - 3 + 4 = 0. Find the third derivative of 5*r**f + 0*r**2 - 3*r**4 + 6*r**4 wrt r.
72*r
Let k(q) = -2*q**3. Let p(d) = 198*d**3 - 243*d. Let i(a) = 5*k(a) - p(a). What is the second derivative of i(b) wrt b?
-1248*b
Let y = -40 - -73. Find the first derivative of 2*h**3 - 3*h + 2*h**3 + 10 + 2*h**3 - y wrt h.
18*h**2 - 3
Let w(s) = s**4 - s**3 + s**2 + s + 1. Let r(a) = -a**4 + 18*a**3 - 13*a**2 - 6*a - 2. Let b(c) = -r(c) - 6*w(c). Find the third derivative of b(y) wrt y.
-120*y - 72
Let m(v) = 116*v + 143. Let b(x) = -29*x - 36. Let w(p) = p**2 - 6*p - 25. Let j be w(8). Let a(h) = j*b(h) - 2*m(h). Find the first derivative of a(q) wrt q.
29
Find the second derivative of 349 - b + 335 - 721 - 831*b**2 + 120*b**2 wrt b.
-1422
Let a = 5 - 3. Find the third derivative of -1702 + 1702 - 12*t**3 + 7*t**2 + 16*t**a wrt t.
-72
Let u(x) = -50*x**3 - 21*x**2 + 3*x + 3. Let d(r) = 49*r**3 + 19*r**2 - 4*r - 4. Let w(h) = -3*d(h) - 4*u(h). What is the third derivative of w(v) wrt v?
318
Let q = 8 + -9. Let u = q + 3. Find the second derivative of 4*w**u + 9*w - 12*w**2 - 4*w wrt w.
-16
Let k(w) be the third derivative of -w**7/560 + w**6/720 - 3*w**5/20 + w**2. Let i(n) be the third derivative of k(n). Find the first derivative of i(p) wrt p.
-9
Let f = 90 - 70. What is the first derivative of 102 - 3*s - 131 + f*s wrt s?
17
Suppose 4 = 4*u - 8. What is the third derivative of -96 + 4*m**2 + 96 + 2*m**u wrt m?
12
Find the second derivative of -35*s**3 + 2*s + 176 + 39*s**3 + 6*s**4 + 0*s wrt s.
72*s**2 + 24*s
Let p = 53 + -53. Find the first derivative of -26*w**2 + p + 4*w**2 + 27 wrt w.
-44*w
Let r(o) = -3*o**2 + 28*o - 58. Let v be r(6). Let f(l) be the first derivative of 7 + 8/3*l**3 + 0*l + 4*l**v. What is the second derivative of f(d) wrt d?
16
Let k(y) be the second derivative of 107*y**5/10 - 103*y**2 + 66*y + 1. What is the derivative of k(h) wrt h?
642*h**2
Let v(q) be the first derivative of -2 - 9*q + 12*q - 4*q**4 + 17 + 12*q. Differentiate v(z) wrt z.
-48*z**2
Suppose 25*y = 21*y + 12. What is the third derivative of -3*a**y - 2*a**2 - 9*a**3 + 0*a**3 + 26*a**2 wrt a?
-72
Let i(o) be the third derivative of 0*o + 11*o**2 + 0*o**4 + 0*o**5 + 1/42*o**7 + 0 + 0*o**6 + 13/6*o**3. Differentiate i(g) with respect to g.
20*g**3
Let v(a) be the third derivative of -a**8/84 - a**6/20 - 47*a**5/60 - 39*a**2. Find the third derivative of v(u) wrt u.
-240*u**2 - 36
Suppose -3*j - 16 = -4*y, 3*j = 5*j. Find the second derivative of 3*l + 3*l + 2*l + 2*l**5 - y*l**5 wrt l.
-40*l**3
Let g(m) = -61*m**3 + 3*m**2 + 48*m + 3. Let n(a) = -183*a**3 + 8*a**2 + 144*a + 8. Let t(r) = -8*g(r) + 3*n(r). What is the second derivative of t(w) wrt w?
-366*w
Let a(m) = -199*m**2 - 16*m - 371. Let p(t) = 4*t + 1. Let k(c) = -a(c) - 4*p(c). What is the derivative of k(j) wrt j?
398*j
Let s(o) = 2*o**3 + 1. Let r(u) = 188*u**3 + 3*u**2 - 14*u - 3. Let k(w) = -r(w) - 3*s(w). What is the third derivative of k(b) wrt b?
-1164
Differentiate 39 - 15 - 98*x**2 - 17 - 19 with respect to x.
-196*x
What is the second derivative of -4 + 7 + 4*o - 7 - 23*o**2 + 2*o**3 wrt o?
12*o - 46
Suppose -5*f = 9 + 16, 11 = 3*b - f. Find the second derivative of b - 7*t**5 - 4*t - 6*t + 12*t - 6*t wrt t.
-140*t**3
Let x(p) = -324*p**2 + 7*p + 293. Let y(u) = 163*u**2 - 3*u - 146. Let q(v) = -3*x(v) - 7*y(v). What is the derivative of q(z) wrt z?
-338*z
Let f(j) be the third derivative of -67*j**7/70 - 5*j**4/8 + 7*j**3/2 - 835*j**2. What is the second derivative of f(k) wrt k?
-2412*k**2
Let f(j) be the first derivative of -j**7/7 + 139*j**5/5 + 13*j**3/3 + 2*j**2 + 96. Find the third derivative of f(n) wrt n.
-120*n**3 + 3336*n
What is the second derivative of 6 + 1443*h**3 - 4*h**4 + 84*h - 7 - 1423*h**3 wrt h?
-48*h**2 + 120*h
Let v(t) be the first derivative of -413*t**2/2 - 214*t + 414. What is the first derivative of v(j) wrt j?
-413
Find the first derivative of 27 + 7*n**2 + 10*n**2 + 11*n**2 wrt n.
56*n
Suppose -14 - 4 = -3*a. What is the third derivative of 0 - y**a + 25*y**2 - 19*y**2 + 0 wrt y?
-120*y**3
Let o be -4*3/6 - -5. Let b(f) = f + 9. Let c be b(-6). Differentiate 1 + 13*v**4 - o*v**4 + c wrt v.
40*v**3
Let a(p) be the second derivative of p**8/6720 - p**6/360 - p**4 + 8*p. Let z(f) be the third derivative of a(f). Find the second derivative of z(m) wrt m.
6*m
Let r = 18 + 2. Suppose 4*m - 4 = 5*p + r, -2*p + 41 = 3*m. What is the derivative of 3*x**3 - 2 - 11*x**2 + m*x**2 - 2 wrt x?
9*x**2
Let o(x) = 893*x**3 - 9*x**2 - 2*x + 49. Let a(v) = -892*v**3 + 12*v**2 + 2*v - 48. Let u(j) = -3*a(j) - 4*o(j). What is the second derivative of u(f) wrt f?
-5376*f
What is the third derivative of 233*k**2 + k**6 + 20*k**6 + 2*k**4 + k**6 + 140*k**6 + 6*k**6 wrt k?
20160*k**3 + 48*k
Let x = -106 + 108. Suppose -3*w + 7*w = 0. Differentiate x + 14*j - 1 + w - 3 wrt j.
14
Let x(h) be the first derivative of -5*h**8/28 + 11*h**4/12 + 10*h - 5. Let v(b) be the first derivative of x(b). Find the third derivative of v(m) wrt | {
"pile_set_name": "DM Mathematics"
} |
+ 3*t - 3*i + 14 = 0, -4*i = -2*t - 2. Suppose -t*c = -17*c + 996. What are the prime factors of c?
83
Let o(f) = 16*f**2 + 24*f + 139. What are the prime factors of o(-7)?
5, 151
Let z = -210 + 372. Suppose 0 = -3*r + 6*r - z. What are the prime factors of r?
2, 3
Let t(a) = -a**3 - 9*a**2 - 10*a - 12. Let z be t(-8). Suppose -2*j + 7*j - 865 = 5*u, -z*j = -u - 164. List the prime factors of u/(-5) - (-5)/(-25).
5, 7
Let m = 1359 + -494. List the prime factors of m.
5, 173
Let b(h) = -247*h**3 - h**2 + h + 2. List the prime factors of b(-1).
13, 19
Let m(t) = -2*t - 5. Let n be m(-5). What are the prime factors of (-1 + 3)/(n - (-1096)/(-220))?
2, 5, 11
Let d(n) = -n**2 - 1. Let f(i) = -4 + 13*i**2 - 4*i - 16*i**2 + 3*i + 0*i. Let z(r) = 2*d(r) - f(r). List the prime factors of z(0).
2
Let c be 1 + -78 + -1*1. Let s = -38 + 1. Let v = s - c. What are the prime factors of v?
41
Suppose 15610 = 14*c + 21*c. What are the prime factors of c?
2, 223
Suppose -46*c - 32*c + 84942 = 0. What are the prime factors of c?
3, 11
Let h(d) = 93*d + 8. List the prime factors of h(1).
101
What are the prime factors of 33/(-55)*-15 + 3314?
3323
Let x be (531/28 - (-24)/32)*-7. What are the prime factors of x/(-5)*(-4)/((-32)/20)?
3, 23
Let b(g) = 1. Let n(l) = -l**2 + l - 2. Let f(c) = 2*b(c) + 3*n(c). Let w be f(2). What are the prime factors of (36/w + 3)*-30?
2, 3
Let c(x) = -x**2 + x + 5. Let p be c(4). Let s(o) = 2*o**2 + 8*o + 5. Let y be s(p). Suppose -4*q = y - 151. List the prime factors of q.
2, 13
Let o(f) = -4*f**2 - 201*f + 47. What are the prime factors of o(-31)?
2, 1217
Suppose a = -3*o + 242, o + 254 - 1266 = -4*a. Let p = a + -135. What are the prime factors of p?
7, 17
Suppose 0 = -8*n - 10240 + 44544. What are the prime factors of n?
2, 67
Let c = -1212 - -2280. What are the prime factors of c?
2, 3, 89
Let b be 540 + (0 - 2)*1. Suppose -x + b = 5*f + 143, 0 = -4*f - 5*x + 337. What are the prime factors of f?
2, 3, 13
Suppose -384 = -11*x + 3*x. Let a = x - 36. List the prime factors of a.
2, 3
Let g(b) = -83*b - 110. What are the prime factors of g(-5)?
5, 61
Let m be (-9)/(-4 - 44/(-12)). Let d = m - 9. Suppose 120 + d = 3*b. List the prime factors of b.
2, 23
Let i = 45 - -10. Let r(x) = -14*x + 6. Let v be r(2). List the prime factors of (-268)/v - 10/i.
2, 3
Suppose 3679 = m + 5*u, -3*m - 10*u = -13*u - 11091. What are the prime factors of m?
2, 1847
Let v = 549 + -1058. Let d = -286 - v. What are the prime factors of d?
223
Let z(w) = 72*w - 77. List the prime factors of z(4).
211
Suppose 11*i + 4*a - 8705 = 6*i, 3*i + 5*a = 5210. What are the prime factors of i?
5, 349
Let u = -673 - -1860. List the prime factors of u.
1187
Let c = 107 - 14. Let b = 33 + c. What are the prime factors of b?
2, 3, 7
Let b = 590 - 166. List the prime factors of b.
2, 53
Let z be ((-180)/(-12))/(2/2). Let s(a) = -a**2 + 15*a + 17. List the prime factors of s(z).
17
Suppose -2*j - m + 3711 = -0*m, 0 = 5*j - m - 9288. List the prime factors of j.
3, 619
What are the prime factors of 70/(-21)*9093/(-14)?
5, 433
Let b(d) = d + 31*d**2 + 8*d - 7*d. List the prime factors of b(-1).
29
Let b = 2 + 16. Suppose -3*z + 2 + b = -5*y, 3*z + 5*y = -20. Suppose -w - 5*t - 4 = -15, 3*t + 12 = z. List the prime factors of w.
31
Let z be -2 + 700/9 - 12/(-54). Let v = -64 + z. List the prime factors of v.
2, 3
List the prime factors of 5 + 0 + 0 + 5 + 2231.
3, 83
Let i be 1*2*(-6)/12. Let v = 10 + i. Let z = -4 + v. What are the prime factors of z?
5
What are the prime factors of 489/(-16)*-12*4?
3, 163
What are the prime factors of (-2)/24 - (-26024)/96?
271
Let a = 8082 + -4447. List the prime factors of a.
5, 727
List the prime factors of (-186 - -2)/8*49/(-1).
7, 23
Suppose 2*t - 5*b - 64 = 0, -100 = -t - 3*t + 3*b. What are the prime factors of (t/33)/((-4)/(-426))?
71
Suppose 15*k = 12*k + 30. Suppose -4*s + 2*s = 0. Suppose s = -t - 0*t + k. List the prime factors of t.
2, 5
Let o = -13 - -7. Let l(c) = -c**3 - 3*c**2 - c + 9. Let q(n) = -2*n**3 - 7*n**2 - 3*n + 19. Let i(p) = o*q(p) + 13*l(p). List the prime factors of i(4).
7
Let a = 630 - 444. Let b = a + -42. List the prime factors of b.
2, 3
Suppose 0 = -6*o - 0*o + 12. Let f(p) = -5*p - 8. Let g be f(-7). Suppose t - g = -o*t. List the prime factors of t.
3
Let v(s) = 7*s + 1. Let z(i) = 8*i. Let r(a) = -2*v(a) + 3*z(a). What are the prime factors of r(5)?
2, 3
Let k(s) = -2*s + 16. Let j be k(12). Let f be 2451/4 + 6/j. What are the prime factors of (-12)/20 - f/(-20)?
2, 3, 5
Let q = -198 + 1132. List the prime factors of q.
2, 467
Let z(f) be the second derivative of -f**4/12 - f**3 - 9*f**2/2 - 6*f. Let m be z(-6). List the prime factors of m*((-38)/6 - -3).
2, 3, 5
Let w = 2743 - 1310. List the prime factors of w.
1433
Let j(u) = u**3 + 20*u**2 - 26*u + 110. What are the prime factors of j(-21)?
5, 43
Let j = -10 + 30. Let f be (-6)/(-15) - (-92)/j. Suppose f*p - 4*p - 53 = -5*y, -4*y + 3*p = -31. What are the prime factors of y?
2, 5
Suppose -2*i = 4*u - 22, 2*i - 4*i - 2*u = -14. Let q be -2 + 8 - (i - 1). Let d = 12 + q. What are the prime factors of d?
2
Suppose p - 566 = -s, 15 = -5*s - 0. List the prime factors of p.
569
Let q(o) = -79*o**3 + o**2 - o + 3. List the prime factors of q(-2).
641
Let t(i) = -17*i + 44. Let j(q) = q**3 + 10*q**2 + 9*q - 7. Let m be j(-9). What are the prime factors of t(m)?
163
Let j(h) = -24 + 7*h - 7*h + 7*h. List the prime factors of j(10).
2, 23
List the prime factors of -7 - -11 - 1400/(-1 + -1).
2, 11
Let n = 7 - 9. Let r be (1/n)/(2/(-4)). Let q = r + 7. What are the prime factors of q?
2
Let i = 619 + -423. Let q = i + -121. List the prime factors of q.
3, 5
What are the prime factors of (-4)/38 + 15510/57?
2, 17
Suppose 0 = 6*w - 15*w + 9810. List the prime factors of w.
2, 5, 109
Let k(r) be the second derivative of -r**5/20 - r**4/4 + 4*r**3/3 - 9*r**2/2 - 12*r. What are the prime factors of k(-7)?
131
Let c = -94 + 63. Suppose -4*j = -95 - 197. Let u = c + j. What are the prime factors of u?
2, 3, 7
Suppose -2530 = 187*i - 189*i. What are the prime factors of i?
5, 11, 23
Let w(g) = 7*g**2 + 6*g + 2. Let d be w(-2). Suppose 2*f + 8 = 0, 2*b + 0*f + f - d = 0. Let m = 22 - b. List the prime factors of m.
11
What are the prime factors of ((-540)/25)/(-2)*(-100)/(-6)?
2, 3, 5
Let x = 32 + -25. Let m(s) = 8*s**2 - x*s**2 - 2*s**2 + 6*s + 7. List the prime factors of m(5).
2, 3
Let y(l) = l**3 + 14*l - 2. Let h = -6 + 4. Let b(v) = -4*v**3 + v**2 - 42*v + 7. Let r(f) = h*b(f) - 7*y(f). List the prime factors of r(6).
2, 3, 5
Let n(s) = s**2 - 7*s - 8. Let f be n(8). Let k = 7 - f. Suppose 0 = 2*m - 5 - k. What are the prime factors of m?
2, 3
Suppose -9*a + 382 = 1408. Let t = a + 261. List the prime factors of t.
3, 7
Let p(d) = -6*d**2 + 1. Let b(g) = -5*g**2. Let v(q) = 7*b(q) - 6*p(q). List the prime factors of v(4).
2, 5
Let h(z) = z**2 + 8*z + 5. Let m be h(-9). Suppose -15 - 45 = 5*d. Let k = m - d. What are the prime factors of k?
2, 13
Suppose 3*y - 5*c = -y - 2, -5*y + 5*c = 0. Let j be 182/21 - y/(-6). Suppose -5*a + 62 = 2*p, -93 = -3*p - j*a + 4*a. What are the prime factors of p?
31
Let m(z) = 19*z - 156. Let a be m(8). Let b(x) = x**2 + x + 0*x**2 - 4 + 0*x**2. List the prime factors of b(a).
2
Let y(c) be the second derivative of c**4/4 - c**3/6 + c**2 - 4*c. List the prime factors of y(2).
2, 3
Suppose 0 = -2*f + 7*f. Let d = f + 7. Let a = d + 19. List the prime factors of a.
2, 13
Let x = 57 - 40. Suppose 10*l - 507 = -x. What are the prime factors of l?
7
Suppose -2*k + 85 = k + m, 0 = -4*k - m + 114. Let b = k + -1. Suppose 0 = 4*y - v - b - 14, -5*y + 5*v = -60. What are the prime factors of y?
2, 5
Let y be (7/(-3))/(3/(-9)). Suppose 0 = i - 1 - y. What are the prime factors of i?
2
Let d = 701 - 468. What are the prime factors of d?
233
Suppose -4*x = 5*w - 7192, -5753 = -4*w - 0*x - 3*x. Suppose 11*h - w = -435. List the prime factors of h.
7, 13
Suppose g - 2163 = -2*g + 3*q, -2*q = -4*g + 2894. Suppose -543 = -4*r + 5*d + 398, -3*d = 3*r - g. What are the prime factors of r?
239
Suppose 3*x = -3*h + 3, -2*x + 4*h = -0*x - 20. Let i(b) = 4*b**2 + x - 5 + 1 + b. List the prime factors of i(3).
3, 13
Suppose -3*i = -4*v, 2*v + 2 = | {
"pile_set_name": "DM Mathematics"
} |
olve 0 = 4*v - z + 44, -10 = 14*v - 15*v - 5*z for v.
-10
Solve -3*n = -n + 8, -8*n - 24 = 2*h - 4*n for h.
-4
Solve -5*l + 5*z = -5160 + 5140, -2*l + 12 = -4*z for l.
2
Solve -7*m - 77 = 5*c - 11, 0 = c + 5*m + 60 for c.
5
Solve 4 = 2*q + 3*v, 76*q + 2*v = 80*q + 24 for q.
-4
Solve 2*z + 4 = 2*g, -9 + 15 = -14*g - 3*z for g.
0
Solve 3*b - 2*f + 9 = 0, 185*f = 2*b + 189*f + 22 for b.
-5
Solve 0 = -4*z - 4*n - 72, -4*z + 813*n = 809*n + 96 for z.
-21
Solve -4*y - 2*a - 48 = -26, -3*y - 3*a - 21 = 0 for y.
-4
Solve 5 = 5*p - 2*b, 12*b + 36 = -16*p + 8*b for p.
-1
Solve 3*r + 39 = 3*p, -2*r - 34 = -p - 2*p for r.
-5
Solve 3*z - 8 = -326*q + 320*q - 20, 4*z + 2*q = -16 for z.
-4
Solve -2*t + 5*t + 56 = 2*z + 37, -z = -5 for t.
-3
Solve -k - k = -5*x - 40, 5*x - 7*k + 65 = 0 for x.
-6
Solve -3*i = -4*u - 47, 3412*u - 3410*u + 25 = 3*i for i.
1
Solve 0 = -3*m + b + 8, 245 = -4*m + b + 254 for m.
1
Solve 7*q + s - 20 = 9*q + 7*s, -12*s = -2*q + 52 for q.
2
Solve -5*i - 4 = 2*p, 18*p - 25 - 37 = 4*i for i.
-2
Solve -4*y + 19 = p, -44*y + 24 = 4*p - 41*y for p.
3
Solve -16418*i + 5*m + 112 = -16421*i, -5*i - 5*m - 120 = 0 for i.
-4
Solve -2*c = -g - 1, 510*c - 1 = -2*g + 513*c for g.
5
Solve -5*k = -141*v + 137*v - 54, -4*k + 70 = -30*v for v.
-1
Solve -4*p - 28 = 0, 5*i + 1 = -755*p + 757*p for i.
-3
Solve 4*d + 18 = 3*y, 3*y + 4*d + 6180 = 6150 for y.
-2
Solve -12 = -2*d - 2*x, -5*x = -1353*d + 1348*d + 70 for d.
10
Solve 0 = 2*p + 10, 459*c - 463*c = 3*p + 7 for c.
2
Solve -w - 13 = 2*o, -22 = 3*o + 835*w - 833*w for o.
-4
Solve -2*k - z - 10 - 2 = 0, 87*k + z = 87*k for k.
-6
Solve 4*n + 2*s - 20 = 0, -4*s + 7*s + 1 - 31 = 0 for n.
0
Solve 0 = -4*w - 2*l - 14, 112*w - 111*w = l - 8 for w.
-5
Solve -19*b + 16*b + 26 = -2*s, -4*b = 4*s + 12 for s.
-7
Solve t = -5*n - 8, 787*t + 4*n = 784*t - 2 for t.
2
Solve 4*l + 104*k = 99*k - 18, 2*l + 3*k = -12 for l.
3
Solve -5000*m + 5001*m + l + 5 = 0, -2*m = -5*l - 18 for m.
-1
Solve -3*z + 4*h = -20, -3*h - 146 = -76 - 73 for z.
8
Solve -4*k + 104 = -2*l + 76, 4*k = 4*l + 40 for l.
-6
Solve -10*q + r = -9*q - 3, r = -5*q - 9 for q.
-1
Solve 73*l - 5*v + 55 = 70*l, 5*l + 1 = -3*v for l.
-5
Solve -8*k = -2*w + 88, -4*k - 26 - 18 = 0 for w.
0
Solve 2*s + 5*n = -8, 5*s = 3617*n - 3616*n - 20 for s.
-4
Solve 0 = -4*y + 4, 652*y - 328*y + 8 = -2*b + 328*y for b.
-2
Solve -27*v = 113 - 13 + 8, 2*v - 8 = 2*r - 0*r for r.
-8
Solve -54 = 2*u + 112*i - 106*i, 2*u + 2*i = -34 for u.
-12
Solve 2*a + h = 9, 5*a - 2054 + 2026 = -3*h for a.
-1
Solve 21*y - 5*r - 73 = 27*y, 3*r = -2*y - 39 for y.
-3
Solve 8 = 4*r - 2*j, -2*r + 54 = -4*j + 38 for r.
0
Solve 8*n - 13*q = 12*n - 25, 11 = 2*n + 5*q for n.
3
Solve -5*x - 2*z = 24, 3*x - 103 = -4*z - 151 for x.
0
Solve -3*v - 4*g = -33, -465*v = -470*v - 2*g + 27 for v.
3
Solve 18 = 2*n + 24*o - 28*o, -3*o + 25 = 4*n for n.
7
Solve -28 = -6*z + 5*f, -4*f - 79 = -5*z - 55 for z.
8
Solve -3*h = -3*n - 33, -4*h + 20*n = 17*n - 40 for h.
7
Solve -2*w + j = 5, 11 = -5*w - 13*j + 16*j for w.
-4
Solve -4*p = q - 9, 0 = -4*p + 5*q - 9*q + 24 for p.
1
Solve 0 = -3*h - 2 - 19, g + 9*h - 4*h + 37 = 0 for g.
-2
Solve -2*l - 8 = 3*j, 3*j + 41 = l + 27 for j.
-4
Solve 0 = -3*f - 39*s + 38*s - 6, 0 = -4*f - 4*s for f.
-3
Solve 13 = b - 4*j, 3*j + 13 = -5*b - 37 for b.
-7
Solve -50*t = -f - 54*t + 9, 2*f - 6 = 4*t for f.
5
Solve 0 = -5*m + 4*i - 46, 6*i - 48 = -13*m + 10*m for m.
-2
Solve 7*r - 5*r = 6, 453*r - 450*r = 9*t + 81 for t.
-8
Solve 0 = -180*v + 181*v - 3*a + 9, 3*a - 18 = 2*v for v.
-9
Solve 2*u = -4*y + 40, 0 = -42*y + 43*y - 3*u + 4 for y.
8
Solve -4*f - g = 70, -4*g = 8*f - 6*g + 148 for f.
-18
Solve 1246*a = 1250*a - 5*n + 50, 5*a + 55 = 5*n for a.
-5
Solve 0 = -3*x + 3*j - 3, 69*j - 14 = 4*x + 70*j for x.
-3
Solve 3*w + 4*h + 17 = 0, 5*w + 2*h + 19 = -0*w for w.
-3
Solve 3*w = -3*p + 6, -16*w + 5*p = -8*w - 81 for w.
7
Solve 113*x + 12 = -2*f + 117*x, 8*x - 40 = 0 for f.
4
Solve -3*y - 5*a + 530 - 554 = 0, 5*y + 12 = a for y.
-3
Solve -621*z - 3*t - 44 = -617*z, -106 = 18*z + 2*t for z.
-5
Solve 13 = -11*g + 3*j, 2*g - 2*j = -j - 6 for g.
1
Solve -3*k + 1950*h = 1947*h + 9, -2*k - h = 21 for k.
-8
Solve -2*w + 323 = 5*r + 312, -2*w = -r - 5 for w.
3
Solve -r + 4 = 5*x, 5*x + 98*r - 8 = 101*r for x.
1
Solve -5*q = -4*x - 41, 11 = 3*q - 2*x - 8 for q.
-3
Solve -1 = -4*i - a, -8949*i + 5*a - 23 = -8951*i for i.
-1
Solve -9*d = 3*i - 12, -5*d - i = 17555 - 17569 for d.
5
Solve 4*i = 32*n - 35*n - 2, -3*n + 2 = 2*i for n.
2
Solve -12*t - s - 17 = 0, s + 154 - 311 = -2*t - 164 for t.
-1
Solve 8 = -2*x, p + 21*x - 23*x = 9 for p.
1
Solve 5*q = -1171*i + 1172*i + 9, 0 = 5*i - 2*q + 22 for i.
-4
Solve 9433*z - 6 = s + 9435*z, -4*s + 2*z - 4 = 0 for s.
-2
Solve 2*v + 4*w = -6, 293*v + 4*w = 293*v - 16 for v.
5
Solve 42668*v - 4*s = 42666*v + 18, -2*v - v = 3*s for v.
3
Solve 6779 - 6742 = h + 3*o, -11 = -h - o for h.
-2
Solve -q + 2*p = -4, 3*q - 2245*p = -2244*p - 3 for q.
-2
Solve -79*c + 80*c + 5*i - 19 = 0, -3*c + 24 = 4*i for c.
4
Solve 3*w = -5*q + 30, -122*w + 127*w = q + 22 for w.
5
Solve -2*m = 7*d + 88, -54*m + 3*d + 47 = -53*m for m.
5
Solve -x - 15*k - 1 = -14*k, -5*x - 22*k + 29 = 0 for x.
-3
Solve g - 86*h = -81*h - 4, -4*g + 3*h = 16 for g.
-4
Solve 584*d + 3*a + 31 = 588*d, 14 = -4*d - 6*a for d.
4
Solve -21 = -22*p + 19*p + 3*f, 0 = 3*p - f - 25 for p.
9
Solve -5*a - 2*i = -47, 8*i + 8 + 46 = 2*a for a.
11
Solve 3*a = -26270*w + 26267*w + 3, -a = 2*w - 4 for w.
3
Solve 2365*l - 2364*l - 4*t = -11, 3*l - 7 = 2*t for l.
5
Solve 8 = m - 4*n, 4*m + 68*n - 8 = 72*n for m.
0
Solve -704 = 5*f + o - 740, 0 = 2*o + 8 for f.
8
Solve 4*u = -16, 3*u = 2673*q - 2677*q - 4 for q.
2
Solve -18426*s + 18423*s = 3*o + 69, 0 = 3*o + s + 21 for o.
1
Solve -210*x + 206*x + 24 = -5*v, x - 5*v = 21 for x.
1
Solve 9*p - 4*p + 35 = 0, -2*i = -118*p + 117*p + 1 for i.
-4
Solve -i = -9*v - 49, -271*i + 2*v = -268*i - 22 for i.
4
Solve 3*u - 15 = -3*i, -429*i + 25 = -424*i + 3*u for i.
5
Solve -5*d - 87 = -27*u, -d = 2*u - 4 + 14 for u.
1
Solve -s = -g - 8, -262*g + 264*g - 3*s = -17 for g.
-7
Solve -4*h + 38 + 1 = 3*s, 0 = -s + 5 for h.
6
Solve -69 + 34 = -5*w, 0 = 4*y - 2*w + 34 for y.
-5
Solve z + 27*v - 12 = 32*v, 3*z + 3*v - 18 = 0 for z.
7
Solve 5*k - l - 1 = 0, -29*l + 238 = k + 121 for k.
1
Solve 2*u - 30*l = -34*l - 16, -2*l - 8 = 5*u for u.
0
Solve 0 = -2*q - 2*o - 0*o - 34, 11*q - 5*o = -139 for q.
-14
Solve 4*z + 636*y - 632*y = 28, -3*y = 2*z - 11 for z.
10
Solve 4*d = -29*t + 30*t, 0 = -4*t - 16 for d.
-1
Solve 3*b + 3*l + 4802 = 4823, 4*l = -5*b + 33 for b.
5
Solve 1 = -t, -40*z - 52 = -88*z + 4*t for z.
1
Solve 2*z + 4 = 3*d, 26*d = 23*d - 5*z + 11 for d.
2
Solve 56 = 52*r - 42*r + 2*m, 5*r - 32 = m for r.
6
Solve -4*z + 4 = 239*b - 237*b, -3*b = 5*z - 4 for z.
2
Solve -2*n + 198 = 3*p + 200, 0 = p for n.
-1
Solve m - 6 = 4*x, -7*m + 2*x = -4*m + 12 for m.
-6
Solve 3*b + 4*z = 15, z + 281 = 284 for b.
1
Solve -2*v - 33*j = -36*j + 9, 12 = -4*v + 4*j for v.
0
Solve -67*g + 3*a = -69*g + 19, 2*g - 5*a + 53 = 0 for g.
-4
Solve -367*a = -362*a - 5*s + 20, 24*a - 19 = s for a.
1
Solve -2*d + 4*u + 20 = 0, -d + 141*u - 18 = 143*u for d.
-4
Solve 5*s = -5*f + 25, -969*f = 2*s - 977*f + 10 for s.
3
Solve 193*m + 11 = x + 191*m, -11*x + 4*m = -13 for x.
-1
Solve n - 2*t - 92 = -104, -3*n - 2*t - 4 = 0 for n.
-4
Solve -5*g = 4*s - 10, 3*g - 2*s + 32 = 38 for g.
2
Solve 3*p = -3*b + 18, 3*b + 17*p = 6*b + 2 for b.
5
Solve -d - q = 13, -7*d + 2*q + 32 = -3*d for d.
1
Solve 0 = 35*q - 30*q + r - 16, -5*q - 3*r = -8 for q.
4
Solve 9 = 2*r + 3*m, 67*m - 65*m - 6 = -5*r for r.
0
Solve 134*o - 136*o + t = 14, 5*o - 2*t = -33 for o.
-5
Solve 3*p + 3*g + 165 = 132, 2*g - 34 = 5*p for p.
-8
Solve -3*v = -5*s + 4, 2*v - 8 = 263*s - 265*s for s.
2
Solve -5*c - 5*k = -5, -2*c - 211 + 203 = -3*k for c.
-1
Solve -4*b = -50*k - 258, 498*k + 27 = b + 493*k for b.
2
Solve r = v - 3, 0 = -3*v + 4*r - 6 + 14 for v.
4
Solve -86*y + 89*y - 2*q = 0, y = q + 1 for y.
-2
Solve -963*p + 34 = -7*a - 958*p, -3*a - 3*p = -6 for a.
-2
Solve -19*t + v = -18*t + 1, 16 = 8*t - 2*v for t.
3
Solve 50*z - 4*g + 13 = 55*z, 0 = -8*z - 2*g + 34 for z.
5
Solve 5*y = -2*b + 107, -19 = 2854*b - 2852*b - y for b.
1
Solve -414*c - 1 | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of 13*w**5/5 + 14*w**2 + 2. What is the second derivative of c(l) wrt l?
156*l**2
Let w(t) = 29*t**2 + 5*t + 17. Let c(q) = -29*q**2 - 4*q - 18. Let s(k) = 5*c(k) + 4*w(k). What is the derivative of s(a) wrt a?
-58*a
Suppose -b = 2*b. What is the third derivative of 4*l**2 + 1 + b - 1 + l**3 wrt l?
6
Let k(c) = 16*c**4 + 3*c**3 - 3*c**2 + 19. Let v(j) = -j**4 - j**3 + j**2. Let m(o) = -k(o) - 3*v(o). What is the derivative of m(s) wrt s?
-52*s**3
Let r(p) = -3*p**2 + p. Let j(h) = 5*h**2 + 3*h - 3*h - 2*h. Let i(o) = -6*j(o) - 11*r(o). What is the second derivative of i(q) wrt q?
6
Suppose -5*y + 44 = 14. Let a(u) = -u**3 - u**2. Let d be -2*(-3)/2*-1. Let f(v) = -3*v**3 - 2*v**2 - 1. Let x(r) = d*f(r) + y*a(r). Differentiate x(p) wrt p.
9*p**2
Let p(s) = 2*s - 12. Suppose x + 32 = 5*x. Let f be p(x). Find the third derivative of 0*i**2 - 6*i**2 + f*i**2 + 2*i**4 wrt i.
48*i
Let y be 30/(-225)*-5*1. Let t(x) be the first derivative of 4*x + 0*x**2 + y*x**3 + 2. What is the first derivative of t(f) wrt f?
4*f
Let y(v) be the first derivative of 2*v**6/3 - 16*v**3/3 - 1. What is the third derivative of y(q) wrt q?
240*q**2
Suppose -14 = -3*m - 2. Let a(p) be the second derivative of 0 + 0*p**2 - 1/4*p**m + p - 1/2*p**3. What is the second derivative of a(k) wrt k?
-6
Let x(s) = -s**2 + 7*s - 8. Let j be x(5). What is the derivative of 0*c - 10*c - 3 + j*c + 4 wrt c?
-8
Let m(s) = s**3 - 9*s**2 + 4*s - 34. Let d be m(9). Let p(l) = -l - 4. Let r be p(-6). What is the second derivative of 1 + r*y - 1 + 6*y**2 - 3*y**d wrt y?
6
Let c(q) = -7*q**3 - 3*q**2 - 6*q. Let s(h) = -7*h**3 - 2*h**2 - 5*h. Let x(u) = -2*c(u) + 3*s(u). What is the second derivative of x(n) wrt n?
-42*n
Let t(l) be the third derivative of 3*l**8/112 - 19*l**4/12 - 21*l**2. What is the second derivative of t(f) wrt f?
180*f**3
Let d be (5/1 - -2) + 1. What is the third derivative of 0*n**3 + 0*n**3 - 4*n**4 - n**2 + d*n**4 wrt n?
96*n
Let b(a) be the second derivative of 11*a**8/56 + 4*a**4/3 - 16*a. What is the third derivative of b(h) wrt h?
1320*h**3
Let t(c) = 2*c**4 + 6*c**3 - 2*c**2 - 6*c. Let i(k) = k**3 - k**2 - k. Let b(u) = 6*i(u) - t(u). Find the third derivative of b(f) wrt f.
-48*f
Let j be (-4)/(-18) - (-387)/81. Let u(s) be the second derivative of 0*s**4 - 1/10*s**j - 2*s + 0 + 0*s**3 + s**2. What is the derivative of u(y) wrt y?
-6*y**2
Suppose 4*f - 20 = -f. Find the second derivative of 16 - 16 + 4*d - 3*d**f wrt d.
-36*d**2
Let s(q) = -q**3 - q - 1. Let n(t) be the first derivative of -5*t**4/4 - 3*t**2/2 - t - 4. Let w(x) = n(x) - s(x). What is the second derivative of w(j) wrt j?
-24*j
Let w(k) be the third derivative of 0*k + 1/30*k**5 + 3*k**2 + 0*k**3 - 1/120*k**6 + 0 + 0*k**4. What is the third derivative of w(j) wrt j?
-6
Let j(c) = -10*c + 9. Let a(v) = -13 + 1 + 22 - 11*v. Let x(k) = 5*a(k) - 6*j(k). Differentiate x(w) with respect to w.
5
Let j(q) = 2*q - 3. Let y be j(4). Suppose 0*s + 5*b + 17 = 2*s, -y*s + 3*b = -14. What is the first derivative of g**3 + s - 3*g**3 - 2 wrt g?
-6*g**2
Let f(g) = -6*g**4 + 3*g**3 + 2*g + 3. Let l(b) = b**3 + b + 1. Let w(r) = -f(r) + 3*l(r). Find the second derivative of w(y) wrt y.
72*y**2
Suppose q + 2*q = -15. Let a be (-4)/10 - 12/q. Find the third derivative of -g**6 + g**6 - 2*g**6 + g**a wrt g.
-240*g**3
Let b(w) = w - 9. Let g(a) = 0 - 3 - 5 + 3. Let f = 13 - 8. Let v(n) = f*g(n) - 3*b(n). Differentiate v(p) wrt p.
-3
Find the second derivative of -648*q + 627*q + 20*q**4 + 41*q**4 wrt q.
732*q**2
Let r(c) = 3*c**3 - 17*c**2 - 8*c. Let v(o) = 3*o + 6*o**2 + 34 - 34 - o**3. Let y(i) = 3*r(i) + 8*v(i). Find the third derivative of y(l) wrt l.
6
Let u(l) = -11*l**4 - 4*l**3 + 7*l - 4. Let c(h) = -11*h**4 - 5*h**3 + 7*h - 5. Let z(s) = 4*c(s) - 5*u(s). What is the second derivative of z(n) wrt n?
132*n**2
Let b(c) be the second derivative of c**5/4 - c**3 + 10*c. Find the second derivative of b(f) wrt f.
30*f
Let b(t) be the first derivative of t**3 - 3*t**2/2 - 38*t + 60. What is the first derivative of b(v) wrt v?
6*v - 3
Let u(n) = -7*n**3 - 3*n**2 - 2*n - 3. Let w(m) = -m**2 - 1. Let s(r) = u(r) - 3*w(r). Find the second derivative of s(y) wrt y.
-42*y
Let d(y) be the second derivative of -2*y**4/3 + 5*y**3/2 - y. Find the second derivative of d(t) wrt t.
-16
Let z(f) be the first derivative of -7*f**4/4 + 16*f**2 + 10. What is the second derivative of z(u) wrt u?
-42*u
Let a = -3 - -4. Let b be a/(-5) + (-80)/(-25). Find the second derivative of 2*x**b + 54 - 54 + 2*x wrt x.
12*x
What is the third derivative of -5*j**5 - 3*j**6 + 25*j**6 - 6*j**2 + 5*j**5 wrt j?
2640*j**3
What is the first derivative of -2*j**4 - 812*j**3 - 30 + 812*j**3 wrt j?
-8*j**3
Suppose 0 = -4*p + 2 + 6. What is the second derivative of 0*r**5 + 0*r**2 + 0*r**p - 3*r**5 + 2*r wrt r?
-60*r**3
Let d(g) be the second derivative of -11*g**8/56 + 3*g**4/4 - 10*g. Find the third derivative of d(h) wrt h.
-1320*h**3
Let b(n) = -10*n - 15. Let c(p) = -15*p - 23. Let j(w) = -8*b(w) + 5*c(w). Find the first derivative of j(a) wrt a.
5
Let c(i) be the second derivative of -i**7/1260 + i**5/120 - i**4/6 - i. Let t(v) be the third derivative of c(v). Find the first derivative of t(d) wrt d.
-4*d
Suppose 5*b = -3*x + 68, -24 = -3*x + x + 2*b. Suppose 5*r + s - 9 = x, -s = r - 5. Find the third derivative of q**2 + q**r - 2*q**5 + 0*q**2 wrt q.
-60*q**2
Let t(v) = -48*v - 32. Let p(j) = -2. Let a(i) = -6*p(i) + t(i). Differentiate a(z) wrt z.
-48
Let v(h) be the third derivative of -h**4/24 - 2*h**2. Let y be v(-3). What is the first derivative of y*z - z + 2 - z wrt z?
1
Differentiate 29 - 42*f**2 + 74*f**2 + f**4 - 34*f**2 with respect to f.
4*f**3 - 4*f
Let l(n) = -n - 2. Let h(o) = o**2 + 9*o + 10. Let q be h(-7). Let p be l(q). What is the second derivative of -5*g - g**p + 4*g + 0*g**2 wrt g?
-2
Let v(k) = k**2 - 2*k - 4. Let a be v(3). Let y = 0 - a. Differentiate -3*o**2 + 7*o**2 - y - 2*o**2 with respect to o.
4*o
Differentiate -70*j - 51 - 28 + 6 wrt j.
-70
Let v(b) be the third derivative of b**8/84 - b**4/6 + 10*b**2. What is the second derivative of v(u) wrt u?
80*u**3
Let f(h) = h**4 - h**3 - h + 1. Let r(y) = 6*y**5 - 6*y**4 + 6*y**3 + 8*y**2 + 6*y - 6. Let w(t) = -6*f(t) - r(t). Find the third derivative of w(l) wrt l.
-360*l**2
Suppose 4*a = -4*b + 12, -4*b + 7 = a - 2*a. Suppose 4*d - 7 = 1. What is the second derivative of -d*p**5 + 0*p**5 + 4*p**5 - b*p wrt p?
40*p**3
Let y(c) be the second derivative of c**7/3 + 11*c**3/3 - 7*c. Find the second derivative of y(s) wrt s.
280*s**3
What is the third derivative of -3*s**2 + 9*s**2 - s**2 - 4*s**5 wrt s?
-240*s**2
Let l(p) = 15*p**4 - 3*p**3 - 12*p - 3. Let z(i) = -104*i**4 + 20*i**3 + 84*i + 20. Let u(d) = 20*l(d) + 3*z(d). What is the second derivative of u(b) wrt b?
-144*b**2
Let b(f) = -34*f + 28. Let o(c) = 11*c - 9. Let k(v) = 2*b(v) + 7*o(v). Differentiate k(p) wrt p.
9
Let l(c) be the second derivative of -4*c**4/3 + 47*c**3/6 - c. What is the second derivative of l(s) wrt s?
-32
Suppose -2*k = 2*w + 2, 2*w + w - 5*k - 21 = 0. Find the third derivative of -6*o**2 - 3*o**3 + 1 - 1 + 0*o**w wrt o.
-18
Let h(i) = i - 3. Let p be h(7). What is the second derivative of -4*y**4 - 3*y**p - 4*y + 8*y**4 wrt y?
12*y**2
Let o(l) be the first derivative of 3*l - 2/5*l**5 + 0*l**2 + 0*l**3 - 1 + 0*l**4. Differentiate o(u) wrt u.
-8*u**3
Let l(p) be the second derivative of -3*p**4/4 - 2*p**3/3 + p**2 + 6*p. Let x(o) = o**2 + o + 1. Let y(s) = -l(s) - 4*x(s). Differentiate y(g) wrt g.
10*g
Let f(i) be the first derivative of -3/2*i**2 + 0*i + 1/3*i**3 + 1/60*i**5 + 0*i**4 + 2. Let m(n) be the second derivative of f(n). Differentiate m(c) wrt c.
2*c
Suppose -4*k = 4*h + 12, 2 = 4*k - h - 6. Let g = 1 + k. What is the first derivative of 0 + g + 0*i**3 - i**3 wrt i?
-3*i**2
Suppose -4*p - i + 4*i + 3 = 0, -4*i = -4*p. What is the third derivative of x**2 - 9*x**p - 2*x**2 + 9*x**3 + 5*x**6 wrt x?
600*x**3
Let z(a) = -32*a**3 + 4*a**2 + 17*a - 4. Let j(m) = -32*m**3 + 3*m**2 + 16*m - 3. Let o(h) = -4*j(h) + 3*z(h). Find the second derivative of o(q) wrt q.
192*q
Find the third derivative of 35 - 11*p**2 - 35 - 38*p**6 wrt p.
-4560*p**3
Let m(d) = 17*d**4 + 6*d**3 + 6 | {
"pile_set_name": "DM Mathematics"
} |
0. Let u(x) = 2 + 5 - 4 + x + r. Let a be u(-3). Solve -5*i + 5 + 0 = a for i.
1
Let k(s) be the second derivative of -s**5/20 + s**4/3 + s**3/3 - 3*s**2 - 3*s. Let w be k(4). Suppose w*b = b + 11. Solve -5 + b = -3*m for m.
-2
Let t(o) = 2*o - 3. Let m be t(4). Solve 0 = 3*l + 2*l + m for l.
-1
Let y be (-27)/(-21) - 2/7. Let j be -2 + 1 + y + 2. Solve j*t + 3*t - 5 = 0 for t.
1
Suppose 0 = -2*c - 2*c + 16. Solve -c*k + 2*k = 0 for k.
0
Let a = 0 - 0. Let p(i) = i - 5. Let j be p(5). Let b = j + a. Solve -15 = 5*y - b for y.
-3
Let f(w) = w + 6. Let t be f(-3). Let m = -41 - -57. Suppose -t*y + y = -m. Solve 3 - y = -d for d.
5
Let p be ((-5)/2)/((-5)/10). Solve 3 = -p*s - 12 for s.
-3
Let l(v) = v**2 - 7*v. Let s be l(7). Let y = 2 + s. Solve 0 = -y*c - 6 for c.
-3
Let k be (0 - 6)*(-1)/2. Let j(t) = t**2 + 3. Let o be j(0). Let p be (2 - 3/o) + 5. Solve k = -m + p for m.
3
Let w = 14 + -3. Let p = -3 + w. Solve -4*m = -p*m - 16 for m.
-4
Let r(j) = 2*j**3 - 29*j**2 + 14*j + 4. Let a be r(14). Solve a + 1 = 5*l for l.
1
Let k be (-60)/(-14) + 1/((-14)/4). Solve k*d - 2*d = 0 for d.
0
Suppose 0 = d + 2, -5*t = 2*d + 2*d - 2. Suppose 4*q = t*q. Suppose -4*x + 40 = 4*l, 3*x - 5 = -0*l + 2*l. Solve -3*g + l*g + 8 = q for g.
-4
Suppose -18*u = 5*s - 17*u - 3, 0 = 4*s + 5*u + 6. Solve -t = -s - 3 for t.
4
Let j(o) = -o**2 + 11*o - 5. Let t be j(6). Solve 9*d - t = 4*d for d.
5
Let l(w) = w**2 + 10*w + 7. Let p be l(-10). Let g = p + -5. Solve 3*t - 10 = -g*t for t.
2
Let k be (-4)/(-12) + (-224)/6. Let l = -20 - k. Solve -l = 5*r + 3 for r.
-4
Let z = -41 + 47. Solve -j = -z*j - 20 for j.
-4
Suppose 2*m = -0 - 0. Solve 5*f + 10 - 25 = m for f.
3
Suppose -h + 3*p - p = 0, -3*p = 3*h + 27. Let g be 0*(3/h - -1). Let c = 7 + -2. Solve g = c*v - 3 - 2 for v.
1
Suppose -2*k + 8 = -5*c - 0*c, -5*c - 17 = -3*k. Suppose 4*z - z = k. Solve z = v + 4 for v.
-1
Let j(b) = b**2 + 18*b - 63. Let z be j(-21). Let o(y) = -y + 15. Let q be o(0). Solve z = -2*l - l + q for l.
5
Let o = 30 - 25. Solve 0 = 2*x - x - o for x.
5
Suppose 5*c = 2*r - 9, 0*c - 5*c = 4*r - 3. Let a be (6/(-8))/(r/(-24)). Solve 3*u - 3 - a = 0 for u.
4
Suppose 3*a - 29 = -k - 2*a, 5*k = -3*a + 35. Solve 0 = -f + 5*f + k for f.
-1
Let d = -4 - -6. Let l = -37 + 39. Solve l*f = -4 - d for f.
-3
Let s(y) = y**2 - 2*y + 2. Let m(x) = 2*x**2 - 5*x + 4. Let d(f) = -2*m(f) + 5*s(f). Let i be d(0). Solve -i*g = -1 - 7 for g.
4
Let l be 9*((-13)/(-3) + -4). Solve 5 + 1 = l*z for z.
2
Let x(i) = -i**3 - 4*i**2 - i + 6. Let c be x(-3). Solve 2*y + y - 3 = c for y.
1
Suppose -4*l = -3*l - 2. Solve -8 - 2 = l*b for b.
-5
Let x(w) = -w**3 + 2*w**2 + 5*w - 4. Let h be x(3). Solve -3*t = 1 + h for t.
-1
Suppose -6*h + 66 = 5*h. Solve -h = 5*x - 21 for x.
3
Let v = 9 - 7. Suppose v*u = -0*u + 24. Suppose z = 5*z - u. Solve -2*n - 15 = z*n for n.
-3
Let x be (-20)/8*(-16)/10. Suppose u + 21 = x*w, -2*w + 2*u = -0*u - 18. Let o be (-46)/(-10) + w/10. Solve 10*q + 5 = o*q for q.
-1
Let o(c) = -8*c**3 - c - 2. Let u be o(-1). Solve 0 = -n - u + 5 for n.
-2
Suppose 0 = 2*y - y. Suppose n = -y*n. Let p = -4 - -6. Solve p*q = -n*q for q.
0
Let h(s) = s + 1. Let i be h(-1). Suppose -2*t + 0 = -8. Let j = 12 + -8. Solve -j + i = t*l for l.
-1
Let z(y) = -2*y + 6. Let h be z(5). Let t = 6 + h. Let a(f) = f**2 + 4*f + 1. Let x be a(-5). Solve -x*n + t*n = 0 for n.
0
Let c(z) = 5*z - 1. Let q be (1/(-3))/(1/(-3)). Let x be c(q). Solve l + x = -0*l for l.
-4
Suppose 0 = -3*z - 10 + 28. Solve -4*q + 6 = -z for q.
3
Let x(o) = 3*o + 53. Let i be x(-15). Solve 5*b + i = -12 for b.
-4
Suppose 0 = 2*d + 10 - 46. Solve -4*a + 2 = d for a.
-4
Suppose -3*h + 0*h = 5*q + 9, 0 = 4*q - 3*h - 9. Solve q = 4*b - 6 - 2 for b.
2
Let m(h) be the first derivative of h**2/2 + 6*h + 2. Let n be m(-3). Let p be (-1 + n)/(2/4). Solve x - p*x - 12 = 0 for x.
-4
Suppose 3*c - 24 = -9. Suppose -c*l + 23 = 3*m, 5*l - 10 = 3*m + 7. Let a = -1 + l. Solve -a*w = -w for w.
0
Let d be (-7)/(-14)*0/1. Solve d = z - 2 - 2 for z.
4
Suppose 0 = -9*o + 14*o - 370. Let f be o/14 - (-4)/(-14). Solve -2*i + f = -3*i for i.
-5
Suppose 0*q = -3*q + 15. Let v = 7 - q. Let z(w) = w**2 - 2. Let o be z(v). Solve -2*c - o = -c for c.
-2
Suppose 0 = -5*g - x + 9, -5*g + 5*x + 4 = -11. Let s(c) = c**2 - g*c**2 + 3*c**2 + c - 2 + 1. Let t be s(2). Solve 4*k = -t + 1 for k.
-2
Let d(g) = g + 2. Let c be (-22)/(-8) + 3/12. Let l be d(c). Solve -4*s = 7 + l for s.
-3
Let c be (-2)/(1/((-6)/4)). Let x(k) = -15*k + 1. Let d be x(-1). Suppose d = -c*g + 5*o, 3*g - 2*o + 1 = -0*o. Solve -i - g*i = 0 for i.
0
Suppose r + 0 = -5*k + 8, 4*k = 8. Let m(d) = d**2 + 2*d + 3. Let o be m(r). Solve -2 = o*g + 4 for g.
-2
Let l(t) = -7*t - 10. Let j be l(-3). Solve -j = -2*v - 1 for v.
5
Suppose 0 = -11*d + 8*d + 6. Solve -d = 2*g + 8 for g.
-5
Suppose 5*r - 8*r = -3. Suppose 5*y - 3*k - 51 = 0, -r = y + 5*k - 0. Solve y = -2*w + 3 for w.
-3
Let n be (-1)/(-5) - 62/10. Let g = -3 - n. Let t be 3*g*4/18. Solve 2 = -t*z - 0 for z.
-1
Let b = -47 + 49. Solve -4 = b*u - 0*u for u.
-2
Let u be 1*-1 + (-14 - -15). Let c be -2 - -4 - 0 - 4. Let j be (6 - 0) + c/1. Solve -16 = -u*g + j*g for g.
-4
Let g(i) = 3*i**2 - 2*i - 1. Let p(h) = 2*h**2 - h - 1. Let l be p(-1). Let u = -3 + l. Let v be g(u). Solve 3*z - v*z = 0 for z.
0
Suppose -4*i = i - 15. Suppose r + i = 6. Solve 3 = -0*n + r*n for n.
1
Let z(k) be the first derivative of -k**3/3 + 2*k**2 + 4*k - 5. Let s = -1 + 5. Let a be z(s). Solve -5*p + a - 24 = 0 for p.
-4
Let k(l) = 6*l. Let h be k(3). Solve 2 + h = -5*g for g.
-4
Suppose -2*x - 44 = -4*j - 16, -2*x - 8 = 0. Let b(o) = -2*o**2 + 5*o - 3. Let z be b(1). Solve z = -j*g + 5 + 5 for g.
2
Let z = 110 - 106. Solve -15 = -z*w + 7*w for w.
-5
Let j(a) = -a**2 - a + 10. Let x be j(-3). Solve -5*l = -x*l + 1 for l.
-1
Suppose -5*m - 4 = -9*m. Solve 0 = -t - m - 1 for t.
-2
Let j(v) = -2*v**3 - 2*v - 1. Let s be j(-1). Suppose -s*a + 6 + 0 = 0. Solve a*m + 8 = -0*m for m.
-4
Suppose 9*h = 3*h + 48. Solve -4*k - h - 4 = 0 for k.
-3
Let v = -53 + 58. Solve a = v*a for a.
0
Let r(x) = x**2 - 3*x + 1. Let f be r(4). Suppose -5*l - 4*z + f = -2*z, -2*l + 1 = z. Solve -g + 2 = -l for g.
5
Suppose -5*o = 46 - 21. Let w = o + 13. Suppose 4*g - w = 0, 5*y + 9*g - 4*g - 25 = 0. Solve 0 = y*n - 12 for n.
4
Let a = -23 + 25. Solve a = b - 1 for b.
3
Suppose -24 + 104 = 4*r - 5*g, 2*r - 40 = 2*g. Suppose -3*y - r = -8*y. Solve -i = y*i + 15 for i.
-3
Let j(p) = -p**2 + 11*p - 5. Let y be j(10). Solve -y*c + 24 + 1 = 0 for c.
5
Let t be (-12*(-8)/(-12))/(-2). Solve 2*q = t*q + 4 for q.
-2
Suppose -q - 25 = -6*q, 0 = l + 5*q - 30. Solve -3*o + 7 = -l for o.
4
Let z be (-1 - -21)*(-6)/(-8). Let j(i) = -i + 19. Let w be j(z). Solve -10 - 6 = -w*h for h.
4
Let c be (-5)/7 + (-2)/7. Let h = 4 + -2. Let b = c + h. Solve 2*t - b = t for t.
1
Let k = 17 - -3. Suppose 0 = 2*t + 1 + 1. Let r(w) = -4*w + 1. Let n be r(t). Solve k = n*v - v for v.
5
Suppose -5*z + 25 = -20. Suppose 2*m = 3*t - 4, 4*t - z + 3 = 3*m. Solve -2*u + 5*u + 12 = t for u.
-4
Let k(i) = i**2 + 6*i + 1. Let z be k(-7). Suppose r - 4 + 1 = 0. Solve 0 = r*n + 17 - z for n.
-3
Suppose 5*d + 10 = 60. Solve 5*u + d = -0 for u.
-2
Let h = -61 + 67. Solve h = -2*t - t for t.
-2
Suppose 121 - 1 = 5*v. Suppose 3*y - 3*z = 22 + 5, -3*y + 2*z + v = 0. Solve -y*g = -3*g - 3 for g.
1
Let r = -13 - -18. Solve 2*w = -r - 1 for w.
-3
Suppose 36 = -0*w + 4*w. Let d = w - 4. Solve -2*i = 3*i + d for i.
-1
Let o be 45/27 + (-1)/(-3). Solve 7*d = o*d + 20 for d.
4
Let m(j) = -j + 8. Let w be m(5). Solve w*d + 9 = 24 for d.
5
Let u(v) = -v + 16. Let f be u(-7). Let g = -23 + f. Solve g = -b - b for b.
0
Suppose -20 = -3*d + 2*d - 4*w, 4*d = -2*w + 10. Let h(v) = v**3 - 7*v**2 + 5. Let m be h(7). Let q = -2 + m. Solve d = q*l - 0*l + 6 for l.
-2
Let o = -14 + 19. Solve -5*y + 0*y = -o for y.
1
Suppose d = 5*q - 3 - 5, 3*d - 2*q - 2 = 0. Suppose 0*s + 8 = 4*s + 4*c, 5*c - 4 = -d*s. Solve 17 - s = -3*h for h.
-5
Let k(n) = n**3 + 4*n**2 - 7*n - 6. Let i be k(-4). Let h be (-16)/88 + 70/i. Solve h*o - 2 = 2*o for o.
2
Suppose 4 = -3*v + 4*a, 2 = a + a. Let d = 1 + 5. Suppose q = 2*q - d. Solve -2*j = -v*j + q for j.
-3
Let i(p) = -p**3 + 6*p**2 + p - 1. | {
"pile_set_name": "DM Mathematics"
} |
**4 - 15*x**3 + 693*x**2 + 398494*x wrt x?
24*x**2 - 90*x + 1386
What is the third derivative of 48628*c**3*u**3 - 123*c**3*u**2 - 46*c**3 wrt u?
291768*c**3
Differentiate -5*c**2*q**3 + 6*c**2 + 7639*c*k + 22*k*q**3 - 1567*k + 9*q**2 with respect to c.
-10*c*q**3 + 12*c + 7639*k
Find the second derivative of 46*d**3 - 14009*d**2 - 287317*d.
276*d - 28018
Differentiate 8934*h**2 + 133*h - 1613986 with respect to h.
17868*h + 133
Find the first derivative of 2215*t**4 - 4*t**3 - 7*t**2 + 136868 wrt t.
8860*t**3 - 12*t**2 - 14*t
Find the first derivative of -71829*s**3 + 88683 wrt s.
-215487*s**2
What is the second derivative of -50*a**3 - 7*a**2 - 19224*a wrt a?
-300*a - 14
Find the first derivative of 2*s**3 - 16971*s**2 + 505281 wrt s.
6*s**2 - 33942*s
What is the second derivative of 1650273*x**3 + 104859*x + 3?
9901638*x
Find the third derivative of -4864*w**6 + 104*w**2 + 10*w.
-583680*w**3
What is the derivative of -37203*l*y - 514834*l wrt y?
-37203*l
Find the second derivative of -r**3 - 77869*r**2 + r - 12730 wrt r.
-6*r - 155738
Differentiate -138*t**4 + 3*t**2 - 83*t - 320537.
-552*t**3 + 6*t - 83
What is the third derivative of 95439*q**3 + 60260*q**2 - 1 wrt q?
572634
What is the third derivative of 3*g**6 - 90*g**5 - 33*g**3*o - 4398*g**2 - o wrt g?
360*g**3 - 5400*g**2 - 198*o
Find the first derivative of r**4 + r**2 + 204*r - 1522269 wrt r.
4*r**3 + 2*r + 204
What is the second derivative of -g**5*t + 5037*g**5 + 5473*g*t - 4 wrt g?
-20*g**3*t + 100740*g**3
Find the third derivative of 935263*x**3 + 1001899*x**2.
5611578
What is the third derivative of 2136883*f**3 + 139*f**2 - f + 173 wrt f?
12821298
What is the third derivative of -2843587*s**3 + 1686*s**2 + 240*s + 2 wrt s?
-17061522
Find the second derivative of v**5 + 17*v**4 + 6239*v**3 - 346425*v wrt v.
20*v**3 + 204*v**2 + 37434*v
What is the first derivative of -49*p**3 + 274*p - 510548?
-147*p**2 + 274
What is the derivative of 4*v**2*w**2 + 39*v**2*w - v*w**2 - v + 3*w**2 - 254*w - 1 wrt v?
8*v*w**2 + 78*v*w - w**2 - 1
Differentiate 25*a*d*g - 3*a*d + a*g*i + 1842*a*i - 316*d*i - 6*g*i wrt d.
25*a*g - 3*a - 316*i
Differentiate -32*d**3 + 142*d + 19969 with respect to d.
-96*d**2 + 142
Find the third derivative of 2*a**5 + 6*a**4 - 607*a**3 + a**2 - 838*a - 3 wrt a.
120*a**2 + 144*a - 3642
Differentiate 410658*n**2 - 218580 wrt n.
821316*n
What is the second derivative of 2536690*a**4 + 539*a + 519?
30440280*a**2
Find the second derivative of 4*a*s**5 - 12350*a*s**3 - 180*a*s + 55*a wrt s.
80*a*s**3 - 74100*a*s
What is the third derivative of -90*m**6 - 124*m**3 + 4964920*m**2?
-10800*m**3 - 744
Find the second derivative of -693*f**2*p**2 - 10*f**2*p + f*p**2 + 15597*p**2 wrt f.
-1386*p**2 - 20*p
Find the third derivative of 95900*u**3 + 43*u**2 + 2405*u + 2.
575400
Find the second derivative of -1064*n**2*o**3*x - 16*n**2*o**2*x - 8*n*o**3 - n*o**2*x + 893*o**3 wrt n.
-2128*o**3*x - 32*o**2*x
Find the second derivative of 63170*h**2*x**3 + h**2*x + 3*h*x**3 + 7*h*x**2 - 9*h + 86*x**3 + 1 wrt h.
126340*x**3 + 2*x
Differentiate -4*y**2 - 2979*y + 32370 with respect to y.
-8*y - 2979
Find the third derivative of -114753*o**3 + 4*o**2 - o - 5291 wrt o.
-688518
What is the first derivative of 206*j*r**2 - 3*j*r + 6*j - 297468*r**2 wrt j?
206*r**2 - 3*r + 6
Find the third derivative of -220765*b**4 + b**3 - 3336*b**2 - 22 wrt b.
-5298360*b + 6
What is the third derivative of -113*i*t**4 - 34*i*t**3 + 4*i*t**2 - i*t + 8*i + 195*t**2 wrt t?
-2712*i*t - 204*i
What is the third derivative of -2014563*x**3 + x**2 - 4008*x + 40 wrt x?
-12087378
What is the derivative of 1920477*x**3 + 857574 wrt x?
5761431*x**2
Find the second derivative of -10*g*l**3*n**2 - g*l*n**2 - 5*g*l*n - 7*l**3 + 203*l**2*n + 3*l*n**2 + 8*n**2 wrt n.
-20*g*l**3 - 2*g*l + 6*l + 16
Find the second derivative of 503*y**4 + y**3 + y + 903.
6036*y**2 + 6*y
Differentiate 20*q**4 - 219*q**3 - 29808.
80*q**3 - 657*q**2
What is the third derivative of 37*c**2*g**3 - 104*c**2*g**2 + 3*c**2 + 39*c*g**3 + 5*c*g**2 - g**2 wrt g?
222*c**2 + 234*c
What is the second derivative of 2286851*u**3 - 2694179*u?
13721106*u
What is the second derivative of 761*o**3 + 12*o**2 - 21456*o?
4566*o + 24
What is the third derivative of 10*i*x**3*y**3 + 402*i*x**3*y**2 + 5*i*x**3 + 3*i*x**2 - 6*i*x*y**2 - 1493*i*y + 9*x**2*y**3 wrt x?
60*i*y**3 + 2412*i*y**2 + 30*i
Find the second derivative of -g**4 + 1977*g**2 - 24100*g wrt g.
-12*g**2 + 3954
Find the second derivative of 952*b**3*y + 35*b**2*p**2*y + 7170*b*p**2*y - 2*b*p*y + 41*b*y wrt b.
5712*b*y + 70*p**2*y
Differentiate -2*c*i*q*u + 6*c*i*u + 2*c*i + 1599*c*q - 395*c - 43*i*q*u + 2*i*u - 71*i + 1 wrt q.
-2*c*i*u + 1599*c - 43*i*u
What is the second derivative of 24*w**4 - 3008*w**3 - 5*w - 2175 wrt w?
288*w**2 - 18048*w
What is the second derivative of 65924*r**2 - 290*r + 87 wrt r?
131848
Find the first derivative of -446788*x**2 + 12975 wrt x.
-893576*x
Find the first derivative of 19*i**3*x**2 - 104*i**3 - 2*x**2 - 28761 wrt i.
57*i**2*x**2 - 312*i**2
What is the second derivative of -551*b**3 - 25*b**2 + 19629*b + 2?
-3306*b - 50
Differentiate -3*b**4*y + 2*b**4 + 637*b**2*y - 2*y + 4752 with respect to b.
-12*b**3*y + 8*b**3 + 1274*b*y
What is the third derivative of 371560*m**6 + 3*m**2 + 2*m + 2370 wrt m?
44587200*m**3
What is the first derivative of 7*h**2 + 1750*h - 14199 wrt h?
14*h + 1750
What is the third derivative of 24*g**4 + 328*g**3 - 99903*g**2?
576*g + 1968
Find the second derivative of -2*i**4 - 18*i**2*k*t - 96*i**2*t + 2*i**2 - i*k*t - 353*i*t + 2*i - 20*k wrt i.
-24*i**2 - 36*k*t - 192*t + 4
Find the second derivative of r**4 + 5580*r**2 + 21824*r wrt r.
12*r**2 + 11160
Find the second derivative of 1010*p**2*q + 28*p**2 - 145*p*q + 121*q + 2 wrt p.
2020*q + 56
Find the second derivative of -23*i**2*r**2 + 3*i**2*r - i**2 - 2*i*r**2 + 4*i*r - 24*i + 15*r**2 - 51 wrt r.
-46*i**2 - 4*i + 30
What is the third derivative of -u**4 - 16320*u**3 + 97*u**2 + 47 wrt u?
-24*u - 97920
What is the third derivative of 64496*s**3*x**3 - 146*s**3*x**2 + 278*s**2*x**2 - s wrt x?
386976*s**3
Find the third derivative of -3*c**4 + 3779*c**3 + 3*c**2 - 4*c - 1156.
-72*c + 22674
What is the derivative of 38455*v - 5740?
38455
What is the derivative of 58*j**4 - 540*j**2 - 54073 wrt j?
232*j**3 - 1080*j
What is the first derivative of 66*h*n - 6583*h + 8*n**4 wrt n?
66*h + 32*n**3
Find the second derivative of -673*o*s**2 - 68*o*s - 270*o + 64*s**2 - 1 wrt s.
-1346*o + 128
Find the second derivative of -43*a**5 - 68*a**4 + 40*a**3 + 42350*a - 2.
-860*a**3 - 816*a**2 + 240*a
What is the first derivative of -40782*c**3 - 131268?
-122346*c**2
What is the second derivative of 8*r**3*x**2 - 18543*r**3*x - 2*r*x**2 - 50*r*x - 2*r + 36*x - 4 wrt r?
48*r*x**2 - 111258*r*x
Differentiate -1097*q*s**2 - 110*q*s - 14*s**2 - 21*s - 167 wrt q.
-1097*s**2 - 110*s
Find the third derivative of 23554*j*m**3 + j*m**2 - 2*m**3 + 115*m**2 - 2 wrt m.
141324*j - 12
Find the second derivative of y**5 + 2187*y**3 + 71094*y wrt y.
20*y**3 + 13122*y
What is the second derivative of 28*b**2*l*s*t + 5*b**2*l*s - 2*b**2*l*t + 17*b*l*s + 2*b*l + 36*l*s*t - l*t + t wrt b?
56*l*s*t + 10*l*s - 4*l*t
What is the second derivative of 92552*f**2*p**4 - 9*f**2*p**2 - 99198*f**2 - 3*p wrt p?
1110624*f**2*p**2 - 18*f**2
What is the second derivative of 5132491*t**2 - 5244822*t?
10264982
What is the third derivative of -6*h**3*u**5 - 6726*h**3*u**4 + 116*h**3*u**2 - 3*h**3*u - h**2*u**2 - 34*h*u**2 wrt u?
-360*h**3*u**2 - 161424*h**3*u
What is the third derivative of -139405*k**3 + 930877*k**2?
-836430
What is the third derivative of -3860*k**2*s**3 - 2*k**2*s**2 + 134*k**2*s + 296*k**2 + 5*s**6 wrt s?
-23160*k**2 + 600*s**3
Find the second derivative of 4*g**2*s**3 + 1711*g**2*s**2 + 2*g**2*s - 98928*g + 2*s**3 wrt g.
8*s**3 + 3422*s**2 + 4*s
What is the first derivative of -c**2*m - 60268*c*t - 66*m*t - 3*m + 15*t wrt c?
-2*c*m - 60268*t
Find the first derivative of -12456*x**2 + 16252.
-24912*x
Find the second derivative of -p**5 - 134516*p**4*s - 203968*p*s + 2*p wrt p.
-20*p**3 - 1614192*p**2*s
What is the second derivative of 7*w**3 + 50402*w**2 - 982849*w?
42*w + 100804
What is the third derivative of -8 | {
"pile_set_name": "DM Mathematics"
} |
replacement from nfiifniieiefmefnmee. What is prob of sequence nen?
5/969
Three letters picked without replacement from {u: 3, l: 2, y: 2, b: 4}. What is prob of sequence ylb?
8/495
Three letters picked without replacement from oobbb. Give prob of sequence bbo.
1/5
Two letters picked without replacement from {f: 2, m: 10, y: 1, t: 1, a: 2}. What is prob of sequence mt?
1/24
Calculate prob of sequence rrd when three letters picked without replacement from bdobzrbroozooo.
1/1092
Calculate prob of sequence ttk when three letters picked without replacement from ttttttktkktkkt.
15/91
Calculate prob of sequence gckk when four letters picked without replacement from khhgcahgqqkc.
1/1485
What is prob of sequence wb when two letters picked without replacement from ggxbwmwmjgwmbjm?
1/35
Two letters picked without replacement from ekkeehltthtkmhm. What is prob of sequence tm?
1/35
What is prob of sequence qzl when three letters picked without replacement from {q: 2, n: 2, l: 1, z: 1}?
1/60
Calculate prob of sequence pbob when four letters picked without replacement from {d: 1, b: 4, o: 2, p: 4}.
2/165
Three letters picked without replacement from gaglabagaaaamlffal. What is prob of sequence lgg?
1/272
Calculate prob of sequence uunr when four letters picked without replacement from {r: 2, n: 4, u: 4}.
2/105
Calculate prob of sequence wu when two letters picked without replacement from {u: 2, i: 1, q: 1, w: 2}.
2/15
Three letters picked without replacement from {r: 3, c: 2}. What is prob of sequence rrc?
1/5
Four letters picked without replacement from bzgbb. Give prob of sequence bbzg.
1/20
Three letters picked without replacement from aqqrgrggggqrrgrqqga. What is prob of sequence rqa?
25/2907
Four letters picked without replacement from oeoedgxoxogoj. What is prob of sequence xgej?
1/2145
Two letters picked without replacement from yjnlllnnjjnnnnjjln. Give prob of sequence jy.
5/306
Calculate prob of sequence vvjz when four letters picked without replacement from {j: 2, z: 4, v: 8}.
8/429
Three letters picked without replacement from ejjjpjrjjejjjddrhj. What is prob of sequence rep?
1/1224
Two letters picked without replacement from ucvzztcau. Give prob of sequence za.
1/36
Two letters picked without replacement from rrhorhhzrrhzoorrrrh. Give prob of sequence oo.
1/57
Four letters picked without replacement from fzzzqqfzzqq. What is prob of sequence zzfz?
1/66
Four letters picked without replacement from {n: 5, p: 1, z: 1, s: 1, d: 1, h: 4}. What is prob of sequence zpdn?
1/3432
What is prob of sequence zzk when three letters picked without replacement from {k: 12, z: 3}?
12/455
Calculate prob of sequence yyf when three letters picked without replacement from {f: 2, y: 6}.
5/28
Calculate prob of sequence nz when two letters picked without replacement from iwjjzznnnn.
4/45
Four letters picked without replacement from {o: 6, e: 13}. Give prob of sequence oeoo.
65/3876
What is prob of sequence ov when two letters picked without replacement from vovtvopvpvmvpoot?
1/10
Calculate prob of sequence uvxu when four letters picked without replacement from {x: 5, l: 1, v: 5, h: 3, u: 4}.
5/1224
Two letters picked without replacement from {n: 7, t: 1, x: 2, v: 2}. Give prob of sequence tv.
1/66
Calculate prob of sequence kky when three letters picked without replacement from {v: 1, e: 1, k: 3, y: 3, g: 2}.
1/40
Two letters picked without replacement from ahpldpd. What is prob of sequence ad?
1/21
What is prob of sequence wx when two letters picked without replacement from {n: 1, w: 1, g: 1, x: 2, i: 2, z: 1}?
1/28
What is prob of sequence nl when two letters picked without replacement from llinliixninillin?
1/12
Three letters picked without replacement from {n: 17, d: 1}. Give prob of sequence nnn.
5/6
Four letters picked without replacement from cwwcw. Give prob of sequence ccww.
1/10
Two letters picked without replacement from yfiyjjbyyfjiifjsy. Give prob of sequence ys.
5/272
Calculate prob of sequence sds when three letters picked without replacement from ssddssssdssdsdss.
55/336
Four letters picked without replacement from bbebpeskbeb. What is prob of sequence ekeb?
1/264
Three letters picked without replacement from lcllcbbexeecxlllllec. Give prob of sequence llb.
14/855
What is prob of sequence ymym when four letters picked without replacement from {y: 7, m: 2}?
1/36
Calculate prob of sequence oooo when four letters picked without replacement from ooooototo.
5/18
What is prob of sequence zz when two letters picked without replacement from ssezzhyr?
1/28
What is prob of sequence gt when two letters picked without replacement from gwwyyvtywyg?
1/55
What is prob of sequence nh when two letters picked without replacement from vydwhhn?
1/21
Three letters picked without replacement from egggggggggeegggggg. Give prob of sequence gee.
5/272
What is prob of sequence bs when two letters picked without replacement from ssbxxxxsbssb?
5/44
Three letters picked without replacement from zzzzhzhz. What is prob of sequence zzh?
5/28
Three letters picked without replacement from {h: 2, f: 3, a: 3}. Give prob of sequence faf.
3/56
What is prob of sequence gv when two letters picked without replacement from {v: 2, g: 1, c: 1}?
1/6
Four letters picked without replacement from {f: 6, m: 2, x: 4}. Give prob of sequence xmfx.
2/165
What is prob of sequence ttgt when four letters picked without replacement from {t: 7, g: 5}?
35/396
What is prob of sequence dh when two letters picked without replacement from dhbhdl?
2/15
Calculate prob of sequence qncs when four letters picked without replacement from ssususqqnqcss.
3/2860
What is prob of sequence rrsr when four letters picked without replacement from {s: 2, r: 11}?
3/26
Three letters picked without replacement from rdmrzdzge. What is prob of sequence red?
1/126
Three letters picked without replacement from {r: 1, o: 1, u: 2}. What is prob of sequence ruo?
1/12
Two letters picked without replacement from osssllssassssloa. What is prob of sequence so?
3/40
What is prob of sequence wr when two letters picked without replacement from {w: 5, r: 3, s: 1}?
5/24
Two letters picked without replacement from csucsbcuccscu. What is prob of sequence uc?
3/26
Calculate prob of sequence dac when three letters picked without replacement from {c: 1, a: 1, t: 5, h: 5, d: 8}.
1/855
Three letters picked without replacement from htttttiiuhuaahiut. What is prob of sequence ahi?
3/680
Three letters picked without replacement from mmmmmmmmmmdm. Give prob of sequence mmm.
3/4
Three letters picked without replacement from {k: 8, g: 3, w: 1, u: 3, c: 2, v: 1}. What is prob of sequence ugc?
1/272
Calculate prob of sequence wg when two letters picked without replacement from {x: 13, g: 4, w: 3}.
3/95
Calculate prob of sequence pxp when three letters picked without replacement from wyppaxe.
1/105
Calculate prob of sequence hq when two letters picked without replacement from hjhjjjdjjqdjmj.
1/91
Three letters picked without replacement from {q: 1, f: 1, s: 1, o: 2}. Give prob of sequence foq.
1/30
Calculate prob of sequence llo when three letters picked without replacement from lllsgossgsl.
2/165
Calculate prob of sequence us when two letters picked without replacement from ebbkswus.
1/28
Two letters picked without replacement from {d: 1, o: 1, g: 7, n: 8}. What is prob of sequence do?
1/272
Calculate prob of sequence wtld when four letters picked without replacement from {l: 2, w: 2, t: 1, d: 4}.
1/189
What is prob of sequence ey when two letters picked without replacement from {e: 2, y: 1, d: 2, l: 1, a: 2, f: 1}?
1/36
What is prob of sequence fe when two letters picked without replacement from {f: 1, e: 4, x: 1, m: 1, j: 1, q: 5}?
1/39
What is prob of sequence vf when two letters picked without replacement from {v: 1, b: 1, f: 1}?
1/6
Two letters picked without replacement from dddfedeeedffefd. What is prob of sequence ff?
2/35
Three letters picked without replacement from {i: 10, w: 4, h: 2}. What is prob of sequence hhi?
1/168
Calculate prob of sequence hh when two letters picked without replacement from {h: 3, m: 5}.
3/28
Three letters picked without replacement from {d: 1, c: 3, z: 5, y: 1}. What is prob of sequence ycc?
1/120
Calculate prob of sequen | {
"pile_set_name": "DM Mathematics"
} |
the units digit of s(-3)?
6
Suppose 11*l = -7*l + 486. What is the units digit of l?
7
Let x(b) = -b**3 + 9*b**2 + 14*b - 9. What is the tens digit of x(9)?
1
Let j = 42 + -13. What is the tens digit of 3/(3/j) - -1?
3
Suppose -4*w = 5*k + 3, 2*w + 3 = 5*k + 3*w. Let d = 10 - 7. Suppose -k = d*p - 7. What is the units digit of p?
2
Let d = 7 + 0. Let h(n) = n + 5. What is the tens digit of h(d)?
1
Suppose -b + 2*i + 3*i = 59, 5*i = -5*b - 145. Let w = b + 56. What is the tens digit of w?
2
Let a(l) = 0*l**2 + 4 + 1 - 3 - l**2 - 5*l. Let s be a(-5). Suppose -7 = -s*k + 15. What is the tens digit of k?
1
Suppose 2 = 3*h - 61. What is the tens digit of h?
2
Suppose -b = b. Suppose b = o - 1 - 3. Suppose y = 5*y - o. What is the units digit of y?
1
Suppose 3*n - 6*n + 15 = 0, 2*n = 5*g - 165. What is the units digit of g?
5
Let y(a) = -a**3 - 5*a**2 - 5*a + 1. Suppose -q - 7 = g, 3*g = -g + 4*q - 4. What is the units digit of y(g)?
5
Let o(v) = -2*v**3 + 2*v**2 + 3*v - 2. Let c be o(3). Let k = 59 + c. What is the units digit of k?
0
Let a = -6 + 11. What is the units digit of a?
5
Let o be 60/(-27) + 2/9. Let a be 0*((-6)/(-3) + -1). What is the units digit of 9 - (o + 1 + a)?
0
Suppose -49 - 7 = 4*a. What is the units digit of (15/(-6))/(1/a)?
5
Suppose -n + 5 = -0*n. Suppose o - 2 - n = 0. Suppose z + o = h + 4*z, h + 4*z = 8. What is the units digit of h?
4
Let w(o) be the second derivative of o**3/2 + 7*o**2 - o. What is the units digit of w(8)?
8
Suppose -q - q + 2*o = -18, -2*q + 6 = 2*o. Let s = q - -4. What is the units digit of s?
0
Let o(p) be the first derivative of -19*p**4/4 + p**2/2 - 1. Let q be o(-1). Suppose -b - b + q = 0. What is the units digit of b?
9
Suppose -2*z + 48 = -3*g, 0 = -2*z - 4*g + 20. Suppose 5*m = -3*h - 65, -3*h - 2*m - z - 53 = 0. What is the tens digit of 154/10 - (-10)/h?
1
Suppose -p + 19 = 2*i, -3*p - 20 = -5*p + 5*i. Let z = -6 - -3. Let q = z + p. What is the tens digit of q?
1
Suppose 9 = m + 2*c, 6*m + 3*c = 3*m + 30. What is the units digit of m?
1
Suppose 3*q + 16 = 103. What is the tens digit of q?
2
Let x be 2/(-4)*7*-2. Suppose 2*w = x*w - 50. What is the tens digit of w?
1
Let t = -15 - -21. Suppose 6 = 2*i - t. What is the units digit of i?
6
Suppose -80 = 5*b - 10*b. What is the tens digit of b?
1
Let u(q) = 9*q - 1. Suppose a + a - 38 = 0. Suppose 4*z + 4 = -2*b, z + a = -0*z - 5*b. What is the units digit of u(z)?
8
Suppose -5*s + 25 = 5. Suppose -3*i = -6*t + 2*t - 55, s = -t. What is the tens digit of i?
1
Let p = 16 - 16. Let s be (2 + 2)/(0 + 2). Suppose p = a - 1 - s. What is the units digit of a?
3
Let l(f) = 22*f - 11. What is the tens digit of l(5)?
9
Suppose -4*t = -7*j + 2*j + 625, 5*j - 620 = 3*t. What is the hundreds digit of j?
1
Suppose 0 = -2*j - j + 195. What is the units digit of j?
5
Let r be 1/(-5) + 486/30. Let m = 0 + r. What is the tens digit of m?
1
What is the units digit of (-2)/(16/20 + 604/(-730))?
3
What is the units digit of (-68)/(-12) - 3/(-9)?
6
What is the tens digit of 3 - 763/(-4) - 5/(-20)?
9
Let d(a) = -a**2 + 7*a - 2. Let v be d(6). Suppose -v*q + 51 = -13. What is the tens digit of q?
1
Let o(p) = -p**3 + 7*p**2 + 8*p - 7. What is the units digit of o(7)?
9
Suppose -m = 2*m - 6. Suppose 0*i - 2*v - 6 = i, -m*i + 23 = -3*v. What is the units digit of i?
4
What is the tens digit of 4/(-10) + 1491/15?
9
Let u = -3 - -17. What is the tens digit of u?
1
Let g(m) = -m + 6. Let r = -2 + 2. Suppose 7 = 3*p - r*p - 4*s, 6 = 3*s. What is the units digit of g(p)?
1
What is the units digit of 215/2 - 7/14?
7
Suppose -2 = -t - 0*t. Suppose 2*p - 10 = t. What is the units digit of p?
6
Let z(n) = 3*n - 25. Let r be z(11). What is the tens digit of r/10*(10 + 20)?
2
Suppose 7*o = 2*o + z + 27, 5*z - 33 = -3*o. What is the tens digit of 50/4 - (-3)/o?
1
Suppose 16 = 3*o + x, 2*x + 0*x - 2 = 0. Suppose 24*d - 18 = 22*d. Let n = d - o. What is the units digit of n?
4
Suppose 5*t - 138 = 92. What is the tens digit of t?
4
Let g = 19 + -9. Suppose 3*u - 14 = f + 5*u, -f + 4*u = -g. What is the units digit of ((-2)/f*3)/1?
1
Let a(h) = -5*h + 5. Let t(c) = -9*c + 9. Let n(p) = 7*a(p) - 4*t(p). Let r be n(5). Suppose -2*l = -r - 2. What is the units digit of l?
3
Suppose -2*b = -4*b - 10. Let n(o) = -o**2 - 7*o - 5. What is the units digit of n(b)?
5
Let w(y) = y - 5. Suppose 0 = 3*r + 2*t - 29, 3*r - t = 6*r - 25. Let s be w(r). Suppose s*m - 6 + 0 = 0, -2*d = 5*m - 57. What is the units digit of d?
1
Suppose -4*y + 2*n + 21 = -43, y + 4*n + 2 = 0. Suppose c + 11 = y. What is the units digit of c?
3
Suppose -4*p + 43 = 3. What is the units digit of p?
0
Let g be (-8)/2 + 1 + 2. What is the units digit of 15 - g - (-5 + 4)?
7
Suppose 8 = 3*z + 5*y, z = -y + 2*y. What is the units digit of z?
1
Let c be 21 + -3 - (-9)/(-3). Suppose -3*d = -v + c, 0 = -3*v - 7*d + 4*d + 69. What is the units digit of v?
1
Let f(q) = q + 9. Let s be f(-9). Let p = s + 0. What is the units digit of 2*(6/3 - p)?
4
Let y(j) be the first derivative of 2 + 8*j - 1/2*j**2. What is the units digit of y(4)?
4
Let x(q) = q**3 - 3*q**2 + 3*q - 2. Let i be x(2). Let u be (-2 - -3)/((-1)/(-4)). Suppose p - u = -i*p. What is the units digit of p?
4
What is the tens digit of 22/(-99) - 7242/(-27)?
6
Suppose 8*c - 4605 = -7*c. What is the hundreds digit of c?
3
Let z(j) = -4*j + 130. What is the hundreds digit of z(0)?
1
Let p(s) = s**3 + 8*s**2 - 9*s + 5. Let x be p(-8). Let n = x - 32. What is the units digit of n?
5
Let a(k) = k**2 - k + 2 - 2*k - 2*k. Let g be a(3). Let z = g + 7. What is the units digit of z?
3
Let u(v) be the second derivative of v**3/3 - 3*v**2/2 - 2*v. What is the units digit of u(5)?
7
Suppose -5*w + 71 = 4*h, -3 - 7 = 2*w. Suppose -h = -a - 0*a. What is the units digit of a?
4
Suppose 5*j = 7 + 3. Suppose 0 = 4*y + 4*f - 8, -j*y + 10 = 3*f + 2*f. Suppose y = i + 3*i - 20. What is the units digit of i?
5
Let m = 149 + 19. Suppose 3*z = 5*p - 86, -4*z - m = 3*p + p. Let i = -25 - z. What is the units digit of i?
2
Let r(j) = -2*j**3 - 4*j**2 + j - 3. Let y(o) = o**3 - o**2 + 1. Let k(d) = -r(d) - y(d). Let g = 1 + -6. What is the units digit of k(g)?
7
Let l = 749 + -529. What is the units digit of l?
0
Suppose -4*q + 3*q + 2*t + 12 = 0, 0 = 2*q + 5*t - 6. Suppose 2*p = -2*p + q. What is the units digit of p?
2
Let q(t) = -1 + 4 - 3 - t. What is the units digit of q(-1)?
1
Suppose 0 = -2*k + 18 - 2. What is the units digit of k?
8
Let j(o) = 24*o**3 + o. Let y be j(1). Let z = y - 6. Let f = z - 13. What is the units digit of f?
6
Let u = -243 - -356. What is the tens digit of u?
1
What is the tens digit of 3740/99 + (-2)/(-9)?
3
What is the tens digit of (-56)/(2/(-6)*3)?
5
Let l = 8 + -3. Suppose 3*k - 5*h + 8 = k, l*k = -5*h + 50. What is the units digit of (-3)/k*0 + 2?
2
What is the units digit of ((-36)/(-8))/(5/70)?
3
Suppose -2*c - 3*r = -4*c + 7, 4*c = 4*r + 16. Let j = 16 + c. What is the units digit of j?
1
Suppose 0 = -2*c - 16 - 4. What is the tens digit of c/(-3)*9/3?
1
Let u be 3/3 + 0 + 1. Let l(x) = -2*x - u*x + 4 + 3*x. What is the units digit of l(0)?
4
Suppose -5*j + 8 = -17. Suppose 82 = j*g + 17. What is the units digit of g?
3
Suppose 3*q = 3*o - 24, -3*o = -4*q - 23 - 5. Let s be -3*(0 - (-2)/(-6)). Suppose -o*t = -y - 8, -5*t - s = -y - 12. What is the units digit of y?
4
Let o = -1 + 4. What is the units digit of o?
3
Let d be (-1)/(-1 - 4/(-6)). Suppose 0 = 4*k - 7*k + 6. Suppose -d*s - k*i = -33, -s - 15 = -3*s + i. What is the units digit of s?
9
Suppose -5 = 3*k - 5*c, 2*k - 5*c = -0*k. What is the units digit of 20/8*(-16)/k?
8
Let w = 5 + -1. Suppose -7*r = -w*r - 63. What is the units digit of r?
1
Suppose 3*b - 4*l - 128 = 0, -b + 57 - 1 = 2*l. What is the units digit of b?
8
Let z be (0 - 12)/(-1) + -2. Let a be (10/25)/(2/z). Suppose a*f - f - 4 = 0. What is the units digit of f?
4
Suppose 62 = 3*u - 10. Let h = u + -14. What is the tens digit of h?
1
Let n(b) = b**2 - 5*b + 1. Let l be n(5). Suppose -l = 3*m + 2*a, -5*m - 1 = 4*a - 0*a. What is the units digit of 2/(-2) - 2/m?
1
What is the units digit of (6/(-3))/((-1)/16)?
2
Suppose -2*v - 4*h + 2 = 0, 2 = -4*h + 2*h. Suppose -3*m - 9 = -5*w, 0 = v*m - 5*m + 4. Suppose -a + 30 = 2*a + t, 0 = | {
"pile_set_name": "DM Mathematics"
} |
of 6132, 12266, 18402, 24540?
q**2 + 6131*q
What is the n'th term of -744127, -1488255, -2232383, -2976511, -3720639, -4464767?
-744128*n + 1
What is the n'th term of -8888, -17783, -26680, -35579, -44480, -53383, -62288?
-n**2 - 8892*n + 5
What is the y'th term of 308, 1498, 3482, 6260, 9832, 14198?
397*y**2 - y - 88
What is the h'th term of 5227, 6099, 6971, 7843, 8715?
872*h + 4355
What is the a'th term of -208, -1040, -3300, -7702, -14960, -25788, -40900, -61010?
-119*a**3 + a - 90
What is the p'th term of 23031, 23032, 23033, 23034, 23035, 23036?
p + 23030
What is the y'th term of 2028, 10302, 32758, 76488, 148584?
1182*y**3 - y**2 + 3*y + 844
What is the g'th term of 35, 26, -5, -70, -181, -350, -589, -910?
-2*g**3 + g**2 + 2*g + 34
What is the k'th term of -1976, -3942, -5904, -7862, -9816, -11766?
2*k**2 - 1972*k - 6
What is the i'th term of -806, -3741, -8634, -15479, -24270?
i**3 - 985*i**2 + 13*i + 165
What is the h'th term of -91, -317, -693, -1225, -1919, -2781, -3817, -5033?
-h**3 - 69*h**2 - 12*h - 9
What is the y'th term of 33, 174, 547, 1266, 2445, 4198, 6639?
19*y**3 + 2*y**2 + 2*y + 10
What is the v'th term of -36412, -72823, -109234, -145645, -182056, -218467?
-36411*v - 1
What is the x'th term of 671, 662, 653, 644, 635, 626?
-9*x + 680
What is the m'th term of -58, -126, -254, -442, -690?
-30*m**2 + 22*m - 50
What is the z'th term of 21164, 42300, 63436?
21136*z + 28
What is the m'th term of -202, -696, -1486, -2572?
-148*m**2 - 50*m - 4
What is the f'th term of -1382, -1380, -1380, -1382, -1386, -1392, -1400?
-f**2 + 5*f - 1386
What is the l'th term of -2, -14, -4, 46, 154?
3*l**3 - 7*l**2 - 12*l + 14
What is the r'th term of -268, -112, 140, 482, 908, 1412?
-r**3 + 54*r**2 + r - 322
What is the d'th term of -455, -517, -553, -563, -547, -505, -437?
13*d**2 - 101*d - 367
What is the q'th term of 9312, 9325, 9348, 9381?
5*q**2 - 2*q + 9309
What is the g'th term of -452, -860, -1252, -1622, -1964, -2272?
g**3 + 2*g**2 - 421*g - 34
What is the z'th term of 1033, 4037, 9043, 16051, 25061?
1001*z**2 + z + 31
What is the v'th term of 367, 334, 313, 310, 331, 382, 469, 598?
v**3 - 40*v + 406
What is the q'th term of -104, -87, -56, -11, 48, 121?
7*q**2 - 4*q - 107
What is the l'th term of -3864, -3825, -3786, -3747, -3708?
39*l - 3903
What is the a'th term of 341, 1453, 3335, 5987, 9409, 13601, 18563?
385*a**2 - 43*a - 1
What is the h'th term of 7015, 28065, 63151, 112273, 175431, 252625, 343855?
7018*h**2 - 4*h + 1
What is the q'th term of 2528477, 2528476, 2528475?
-q + 2528478
What is the r'th term of -396, -364, -332?
32*r - 428
What is the b'th term of -1059, -8507, -28737, -68139, -133103, -230019, -365277?
-1065*b**3 - b**2 + 10*b - 3
What is the m'th term of -264, -268, -262, -240, -196, -124, -18, 128?
m**3 - m**2 - 8*m - 256
What is the k'th term of 129, 195, 199, 141, 21?
-31*k**2 + 159*k + 1
What is the u'th term of -641, -5248, -17751, -42098, -82237, -142116, -225683, -336886?
-658*u**3 - u + 18
What is the n'th term of 46, 109, 150, 163, 142, 81, -26?
-n**3 - 5*n**2 + 85*n - 33
What is the o'th term of -250, -465, -658, -829, -978, -1105, -1210?
11*o**2 - 248*o - 13
What is the o'th term of -348884, -697773, -1046662, -1395551, -1744440, -2093329?
-348889*o + 5
What is the t'th term of -1309, -1332, -1355, -1378, -1401?
-23*t - 1286
What is the j'th term of -244, -1298, -4188, -9832, -19148, -33054, -52468, -78308?
-153*j**3 + 17*j - 108
What is the m'th term of -314739, -629480, -944221?
-314741*m + 2
What is the b'th term of 242044, 242043, 242042, 242041?
-b + 242045
What is the j'th term of 39218, 39215, 39212, 39209, 39206, 39203?
-3*j + 39221
What is the h'th term of -26314, -52630, -78946, -105262?
-26316*h + 2
What is the g'th term of -90, -246, -402?
-156*g + 66
What is the l'th term of 57, 194, 447, 822, 1325, 1962, 2739, 3662?
l**3 + 52*l**2 - 26*l + 30
What is the n'th term of 540647, 2162570, 4865769, 8650238, 13515971, 19462962?
-n**3 + 540644*n**2 - 2*n + 6
What is the x'th term of 59, 133, 231, 365, 547, 789?
2*x**3 + 60*x - 3
What is the a'th term of -179, -320, -415, -464, -467?
23*a**2 - 210*a + 8
What is the m'th term of 1086, 1882, 2678, 3474, 4270, 5066?
796*m + 290
What is the v'th term of 84123, 84175, 84227, 84279?
52*v + 84071
What is the w'th term of -518, -515, -492, -437, -338, -183, 40?
2*w**3 - 2*w**2 - 5*w - 513
What is the w'th term of 561, 673, 785, 897, 1009, 1121?
112*w + 449
What is the f'th term of 186, 424, 694, 990, 1306, 1636, 1974, 2314?
-f**3 + 22*f**2 + 179*f - 14
What is the c'th term of -1185, -2520, -4745, -7860, -11865, -16760?
-445*c**2 - 740
What is the d'th term of -371, -720, -1073, -1430, -1791, -2156, -2525?
-2*d**2 - 343*d - 26
What is the p'th term of -302, -2475, -8400, -19961, -39042?
-314*p**3 + 8*p**2 + p + 3
What is the s'th term of -24749, -24748, -24761, -24794, -24853, -24944, -25073?
-s**3 - s**2 + 11*s - 24758
What is the r'th term of 107, 169, 295, 503, 811?
3*r**3 + 14*r**2 - r + 91
What is the i'th term of -11780, -23568, -35356, -47144, -58932?
-11788*i + 8
What is the r'th term of -780, -3106, -6982, -12408?
-775*r**2 - r - 4
What is the q'th term of 343415, 343414, 343413, 343412, 343411?
-q + 343416
What is the w'th term of 13620, 13617, 13614?
-3*w + 13623
What is the x'th term of 113, 837, 2797, 6611, 12897, 22273, 35357?
103*x**3 + 3*x + 7
What is the a'th term of 23773, 23769, 23767, 23767, 23769, 23773?
a**2 - 7*a + 23779
What is the p'th term of 914, 1834, 2748, 3656?
-3*p**2 + 929*p - 12
What is the t'th term of -62, -23, 70, 241, 514?
4*t**3 + 3*t**2 + 2*t - 71
What is the y'th term of 18802, 18883, 19018, 19207, 19450?
27*y**2 + 18775
What is the m'th term of -261, -300, -365, -456, -573, -716, -885?
-13*m**2 - 248
What is the a'th term of -15153, -15138, -15099, -15024, -14901, -14718, -14463, -14124?
2*a**3 + a - 15156
What is the c'th term of -5733, -11469, -17205?
-5736*c + 3
What is the w'th term of 677, 1515, 2333, 3119, 3861?
-2*w**3 + 2*w**2 + 846*w - 169
What is the g'th term of 864, 1625, 2390, 3159, 3932, 4709?
2*g**2 + 755*g + 107
What is the s'th term of 23867, 23869, 23871, 23873, 23875?
2*s + 23865
What is the b'th term of 2204, 2194, 2170, 2126, 2056, 1954?
-b**3 - b**2 + 2206
What is the q'th term of -25, -47, -81, -127, -185?
-6*q**2 - 4*q - 15
What is the p'th term of 85339, 170680, 256021, 341362, 426703, 512044?
85341*p - 2
What is the h'th term of -4537, -4538, -4541, -4546?
-h**2 + 2*h - 4538
What is the k'th term of -346, -1360, -3050, -5416?
-338*k**2 - 8
What is the b'th term of -646648, -646646, -646644, -646642, -646640?
2*b - 646650
What is the r'th term of 40014, 40013, 40012?
-r + 40015
What is the f'th term of 5294, 21202, 47718, 84842, 132574?
5304*f**2 - 4*f - 6
What is the w'th term of 93067, 93069, 93071?
2*w + 93065
What is the y'th term of -39466, -157796, -355014, -631120, -986114, -1419996, -1932766?
-39444*y**2 + 2*y - 24
What is the g'th term of 166, 366, 608, 898, 1242, 1646?
g**3 + 15*g**2 + 148*g + 2
What is the n'th term of -17160, -17141, -17086, -16977, -16796, -16525, -16146, -15641?
3*n**3 - 2*n - 17161
What is the r'th term of -3377, -3396, -3415?
-19*r - 3358
What is the n'th term of 829, 812, 785, 748, 701?
-5*n**2 - 2*n + 836
What is the g'th term of 4708, 4681, 4652, 4621, 4588, 4553?
-g**2 - 24*g + 4733
What is the s'th term of -3791, -3847, -3931, -4037, -4159, -4291?
s**3 - 20*s**2 - 3*s - 3769
What is the s'th term of -265, -536, -817, -1108, -1409, -1720, -2041?
-5*s**2 - 256*s - 4
What is the k'th term of -8107, -8120, -8133, -8146, -8159, -8172?
-13*k - 8094
What is the j'th term of -2894, -2897, -2894, -2879, -2846?
j**3 - 3*j**2 - j - 2891
What is the p'th term of 266, 380, 686, 1280, 2258?
16*p**3 + 2*p + 248
What is the d'th term of -52491, -52488, -52481, -52470, -52455, -52436, -52413?
2*d**2 - 3*d - 52490
What is the h'th term of -20618, -20705, -20800, -20909, -21038, -21193?
-h**3 + 2*h**2 - 86*h - 20533
What is the l'th term of -22983, -45979, -68979, -91983, -114991, -138003, -161019?
-2*l**2 - 22990*l + 9
What is the s'th term of 431, 931, 1765, 2933, 4435, 6271?
167*s**2 - s + 265
What is the d'th term of -4827, -9688, -14547, -19404, -24259, -29112?
d** | {
"pile_set_name": "DM Mathematics"
} |
nd.
2390000
What is -10.835507 rounded to 2 dps?
-10.84
What is 1021.8911 rounded to 0 dps?
1022
What is -15.11079 rounded to 1 decimal place?
-15.1
What is 490.64906 rounded to the nearest integer?
491
Round 168828 to the nearest one thousand.
169000
What is -0.000017956 rounded to 5 decimal places?
-0.00002
Round 221373.91 to the nearest 1000.
221000
What is 0.1071151 rounded to three dps?
0.107
What is -325701 rounded to the nearest 1000?
-326000
Round 0.000752185 to five decimal places.
0.00075
What is -38.004145 rounded to 1 dp?
-38
What is -0.000547382 rounded to five dps?
-0.00055
What is -0.00056426 rounded to 6 decimal places?
-0.000564
Round 1448582.16 to the nearest 100000.
1400000
Round 0.00047707 to four decimal places.
0.0005
What is 421.067 rounded to the nearest 100?
400
What is 1.6145591 rounded to 0 decimal places?
2
What is -0.007368197 rounded to five decimal places?
-0.00737
Round 21.714342 to 0 decimal places.
22
What is -0.004174558 rounded to 5 dps?
-0.00417
Round 16.55989 to the nearest integer.
17
What is -6.85054 rounded to zero dps?
-7
What is -0.00292721 rounded to 6 dps?
-0.002927
What is 13884500 rounded to the nearest 100000?
13900000
What is -4635.037 rounded to the nearest integer?
-4635
Round 0.00000015593 to 7 dps.
0.0000002
What is -1702.946 rounded to zero decimal places?
-1703
What is -16858.13 rounded to the nearest 1000?
-17000
Round -5.19495 to one dp.
-5.2
Round -0.000004592691 to 6 dps.
-0.000005
What is -54228.23 rounded to the nearest one thousand?
-54000
Round -0.4716717 to 3 decimal places.
-0.472
Round 0.000097138 to four dps.
0.0001
Round -24967.77 to the nearest 100.
-25000
Round 0.0006397925 to 3 decimal places.
0.001
Round -96018.4 to the nearest ten thousand.
-100000
Round -19.39177 to one decimal place.
-19.4
What is -0.2114779 rounded to 3 dps?
-0.211
Round -50371950 to the nearest 10000.
-50370000
Round 4081.66 to the nearest one hundred.
4100
What is -0.03293263 rounded to 5 decimal places?
-0.03293
What is -69502 rounded to the nearest 10000?
-70000
What is -1172.005 rounded to the nearest one hundred?
-1200
What is -7878.63 rounded to the nearest integer?
-7879
Round -9.5938 to the nearest integer.
-10
Round -50.28523 to one decimal place.
-50.3
Round -274516.7 to the nearest 100000.
-300000
What is 33407000 rounded to the nearest 100000?
33400000
What is -1101260 rounded to the nearest 1000000?
-1000000
What is -59527.81 rounded to the nearest 10000?
-60000
Round 0.000936457 to four dps.
0.0009
Round -7.41387 to 0 dps.
-7
What is 0.0004713755 rounded to 4 decimal places?
0.0005
What is 0.32933095 rounded to two dps?
0.33
What is 0.5455382 rounded to four dps?
0.5455
Round 17.4508 to the nearest integer.
17
What is 14885.6 rounded to the nearest 10?
14890
Round 24395970 to the nearest one hundred thousand.
24400000
Round -9920.05 to the nearest one thousand.
-10000
Round 2092660 to the nearest 100000.
2100000
What is -45465948 rounded to the nearest 10000?
-45470000
What is -4.89399 rounded to 0 decimal places?
-5
Round 6012.764 to the nearest 100.
6000
Round 0.0000024303 to six dps.
0.000002
Round -10108164 to the nearest ten thousand.
-10110000
Round -0.01767612 to 4 dps.
-0.0177
What is 2194.11 rounded to the nearest one hundred?
2200
What is 0.0349394 rounded to four decimal places?
0.0349
What is 148.68616 rounded to the nearest ten?
150
What is 0.000612196 rounded to 4 decimal places?
0.0006
What is 0.000003944892 rounded to seven dps?
0.0000039
Round -0.1524534 to 1 decimal place.
-0.2
Round -0.00007385 to five decimal places.
-0.00007
What is -20661150 rounded to the nearest 1000000?
-21000000
What is -282980.7 rounded to the nearest ten thousand?
-280000
What is 2802800 rounded to the nearest one hundred thousand?
2800000
What is -20811810 rounded to the nearest one million?
-21000000
What is 0.269651 rounded to 1 decimal place?
0.3
What is 4236.787 rounded to the nearest one thousand?
4000
What is -0.000001880068 rounded to seven decimal places?
-0.0000019
Round -5398.0706 to the nearest 1000.
-5000
What is 40860065 rounded to the nearest ten thousand?
40860000
Round 0.00001136325 to 6 decimal places.
0.000011
What is -6159530 rounded to the nearest 1000000?
-6000000
Round 1592.8538 to the nearest 10.
1590
Round -0.000067649436 to six dps.
-0.000068
Round -0.02830275 to 5 dps.
-0.0283
Round 5299 to the nearest ten thousand.
10000
Round -0.0000223478 to 7 decimal places.
-0.0000223
Round 0.00087721 to six dps.
0.000877
What is 3210722700 rounded to the nearest one million?
3211000000
Round 0.0000776578 to 5 decimal places.
0.00008
What is -0.013375465 rounded to 3 dps?
-0.013
Round -0.01577568 to 3 dps.
-0.016
Round -0.0652253 to two dps.
-0.07
What is 288141 rounded to the nearest 100000?
300000
What is 0.57184 rounded to 1 decimal place?
0.6
What is -1.50715468 rounded to 4 decimal places?
-1.5072
What is 13.31166 rounded to 1 decimal place?
13.3
What is 10006561 rounded to the nearest one million?
10000000
What is 0.304977 rounded to three decimal places?
0.305
Round -669804000 to the nearest 1000000.
-670000000
Round -0.0673579 to four decimal places.
-0.0674
What is 184.1353 rounded to 0 decimal places?
184
What is 2016737.9 rounded to the nearest 1000?
2017000
What is -85752489 rounded to the nearest 1000000?
-86000000
Round 515232000 to the nearest 1000000.
515000000
What is 374763 rounded to the nearest ten thousand?
370000
What is -195900.6 rounded to the nearest one hundred thousand?
-200000
Round -0.0796026 to 4 decimal places.
-0.0796
What is 0.330495 rounded to 2 dps?
0.33
What is 305.9318 rounded to the nearest ten?
310
Round 0.004332542 to 4 dps.
0.0043
Round 0.0000820416 to 6 dps.
0.000082
What is 7164.8 rounded to the nearest one thousand?
7000
What is -4217810 rounded to the nearest 10000?
-4220000
Round -0.163341 to three dps.
-0.163
What is 60.06484 rounded to two decimal places?
60.06
What is 746113 rounded to the nearest one thousand?
746000
Round 1259.453 to the nearest ten.
1260
Round 3497516 to the nearest one hundred thousand.
3500000
What is -0.000170242 rounded to 6 decimal places?
-0.00017
What is 14.257199 rounded to two dps?
14.26
Round -0.00000041095 to 6 dps.
0
Round 0.0226725 to four decimal places.
0.0227
What is -0.2344721 rounded to three dps?
-0.234
Round 0.17106696 to 4 dps.
0.1711
Round -3.3669206 to 3 decimal places.
-3.367
Round 10.61131 to 1 decimal place.
10.6
What is 58601.4 rounded to the nearest 100?
58600
Round 674323 to the nearest one thousand.
674000
Round -4796534 to the nearest 100000.
-4800000
Round 68079.202 to the nearest ten thousand.
70000
Round 0.0025901379 to five dps.
0.00259
What is 214.71321 rounded to the nearest ten?
210
What is -0.000825632 rounded to 5 decimal places?
-0.00083
What is 158625 rounded to the nearest 100?
158600
What is 234470200 rounded to the nearest 1000000?
234000000
Round -9.29 to the nearest 10.
-10
What is -81871460 rounded to the nearest one hundred thousand?
-81900000
Round 0.205858 to 2 dps.
0.21
Round -0.869554 to three dps.
-0.87
Round 14342.71 to the nearest 1000.
14000
What is -0.3326 rounded to two decimal places?
-0.33
Round 0.000221703 to six dps.
0.000222
Round 543402820 to the nearest 100000.
543400000
What is 3994.19 rounded to the nearest 100?
4000
What is 70.4181 rounded to the nearest ten?
70
What is -0.249624 rounded to one dp?
-0.2
Round 0.000001272277 to 7 dps.
0.0000013
What is 1718.179 rounded to 0 decimal places?
1718
Round -1212660 to the nearest 1000.
-1213000
What is 0.000021511761 rounded to 6 decimal places?
0.000022
Round 441.29239 to 1 dp.
441.3
Round -14755695 to the nearest one hundred thousand.
-14800000
Round -45.8587 to the nearest integer.
-46
What is 0.00001119272 rounded to six dps?
0.000011
Round -5.322468 to 0 decimal places.
-5
What is 0.01168679 rounded to 4 dps?
0.0117
Round -7166.43 to the nearest one hundred.
-7200
What is -0.00002192946 rounded to six dps?
-0.000022
Round 0.0000094513 to 6 decimal places.
0.000009
Round -7.667254 to the nearest integer.
-8
What is -0.0000136105 rounded to 7 dps?
-0.0000136
Round 0.00027065039 to 5 decimal places.
0.00027
Round -13.23926 to the nearest integer.
-13
What is 0.04201843 rounded to two dps?
0.04 | {
"pile_set_name": "DM Mathematics"
} |
5*k + 16, 3*y - 4*k + 12 = l. Is y at least -2?
False
Suppose 3*h + 4*d = -7, -5 = 2*h + d + 3. Is -50/9 != h?
True
Let b = -0.3 + 1.3. Let o = -2 - -1. Let s = o + b. Which is bigger: -1/9 or s?
s
Let s be (-6)/27 + 83893/(-144). Let y = s + 583. Let c = y + 9/16. Is 1 bigger than c?
True
Let c = -118 - -943/8. Which is smaller: c or 1?
c
Let i be 1/(-5) + 2/10. Suppose -3*f = -5*j + 5, i = 4*f - 0*j + 5*j - 5. Is f greater than or equal to 1/3?
False
Let s be (16/(-28))/((-40)/28). Which is bigger: 0 or s?
s
Let v = 1/8 + -23/56. Let g be 4/(-14) - 4/(-14). Which is smaller: g or v?
v
Let a(i) = i**3 - 6*i**2 + 5*i. Let g be a(5). Suppose g*o = -3*o. Let k = 187 + -188. Are o and k equal?
False
Let y be (-58)/(-3 - 33/(-6)). Let i = -797/35 - y. Which is smaller: 0 or i?
0
Let z = 3 - 4.6. Let j = z - 6.3. Let w = j - -8. Which is bigger: -2 or w?
w
Let m be 1/(-1 - 1)*0. Do m and -1/6 have the same value?
False
Let s(z) = -z + 6. Let j be s(0). Suppose j*o - 10 = o. Which is greater: o or -4?
o
Suppose 4*l = 5*l + 2. Let x be ((-28)/(-10) + l)/2. Is -1 less than x?
True
Let w be ((-10)/28)/5*6. Is -1 equal to w?
False
Let x be -2*(-2)/(-4) - 1. Let p be (-76)/(-24) + -2 - 2. Which is bigger: p or x?
p
Let t = 54 + -49. Which is smaller: t or 8?
t
Let l be 4*3/4 + 1. Suppose 2*s = -2 + l. Is -1/10 != s?
True
Let p(g) = -g**2 + 12*g - 10. Let d be p(11). Suppose h + 3 = 1. Let w be (d + 0)*-2 - h. Which is smaller: 1/3 or w?
w
Let z be 1 + 9*2/(-14). Let c be 2/(-6) - (-80)/15. Let d(v) = v**2 - 4*v - 6. Let s be d(c). Which is smaller: z or s?
s
Let j(n) = n**2 + 13*n + 10. Let f be j(-12). Is f > -5?
True
Suppose d + 40 + 46 = 0. Let z = d - -260/3. Let m = 2 - 4. Is z < m?
False
Let u(z) = z**3 + 5*z**2 + 6*z. Let i be u(-3). Is i > 2/3?
False
Let i = -11 - -11. Let o(x) = x**3 + x + 2. Let n be o(i). Which is smaller: 3 or n?
n
Let f be (-4*1/(-4) - 1)*-1. Do f and -1 have different values?
True
Let p(x) = 2*x**2 + 4*x + 4. Let o be p(-2). Which is smaller: 3 or o?
3
Suppose -10*v = -8*v. Which is greater: v or -4/7?
v
Suppose -10*b = -8*b. Is 6/5 less than b?
False
Let c be 3/(-5) - (-34)/(-10). Which is bigger: -3 or c?
-3
Let r(k) = -k - 2. Suppose -3*a - a - 4 = 0. Let c = a - 2. Let u be r(c). Does -2/9 = u?
False
Let i be (2 - (-12)/(-9)) + -1. Which is greater: 4 or i?
4
Let n(p) = 2*p**3 + 2*p**2 - p - 2. Let k be n(-2). Let a be k/(-5) - (-1 - -3). Let d = -57 + 57. Which is smaller: a or d?
a
Suppose -10 - 6 = -4*b. Suppose b*s + 0*s - 4 = 0. Let r = s + -1. Is 0 bigger than r?
False
Let p(y) = -y**3 - 2*y - 1. Let r be p(-1). Let k be 0/(3*(-1)/(-3)). Is r smaller than k?
False
Let m = -0.14 + 0. Let u = 5.14 + m. Are -0.3 and u equal?
False
Suppose 8 = g + 23. Let t be ((-246)/4)/(g/(-20)). Let d = 244/3 + t. Which is bigger: -2/7 or d?
-2/7
Suppose 5*t = 4*x + 10, t - 4 = -t + 3*x. Suppose 0 = 2*b + 2 - 6. Do b and t have the same value?
True
Suppose 0 = 35*h - 34*h + 126. Let t be (-10)/4*h/35. Which is smaller: t or -1?
-1
Let r be (-5 + 31/6)*9/22. Is 0 smaller than r?
True
Let h = 1 + -2. Let l = h + 6. Is 1 < l?
True
Suppose -n + 3*s - 33 = -4*n, 3*s - 49 = -5*n. Let a = n - 6. Suppose u = a*i + i + 2, -5*i + 20 = 3*u. Is 1 bigger than i?
False
Let x be (0 + -4)*(1 - 0). Let q be (-16)/(-10)*(-10)/x. Does q = 4?
True
Let b be 1/14*(-10 + 16). Is 1 greater than b?
True
Let k(q) = q + 2. Let p be k(-10). Does p = -9?
False
Let t = 2 + 3. Suppose 5*g - 5 = t. Let l be (-16)/(-12)*3/2. Are g and l nonequal?
False
Let v = 254 - 109. Let z = -721/5 + v. Which is smaller: 0 or z?
0
Let z = -2.6 - 0.4. Let m = z + 3. Let i = -1 - m. Are i and -1 unequal?
False
Suppose -4*p - 16 = 0, 2*p = -k - p - 8. Let y be 5/(-2*(-2)/k). Let n = y + -4. Is 2/9 >= n?
False
Let l = 36 + -40. Let d be (-6 - -2 - l)/1. Let m be -1 + 2 - 9/8. Is m less than or equal to d?
True
Suppose -2*x + 1 = -2*p + 77, 2*p + 5*x = 62. Let t be p/27 - (0 + 1). Let y be 1*2 + -5 + 4. Which is greater: y or t?
y
Suppose -17*g - 3 = -14*g. Which is smaller: g or 2/65?
g
Let d = 3.1 - 2.8. Which is smaller: d or 1?
d
Let j(p) = -3*p + 3. Let o(r) = 4*r - 4. Let w(n) = -5*j(n) - 4*o(n). Suppose 4*v + 4 = -0. Let k be w(v). Is 1 less than k?
True
Let v(n) = n - 5. Let d be v(0). Let k = d + 5. Suppose 4*w + 15 = 5*x, 5*w - 3*x = -k*x - 9. Which is smaller: w or -2?
-2
Let b be ((-12)/(-15) - 1)*1. Let g = -3/10 + b. Does -2 = g?
False
Suppose 5 + 11 = -4*v. Let k be -2*(2/v - 1). Which is bigger: k or 11/4?
k
Suppose -9*g + 4*g = 0. Suppose 5*y - 100 = -g*y. Suppose 2*v - 5*z - 20 = 5, y = -5*v - 4*z. Is 0 at most as big as v?
True
Let u = 36.16 - 15.2. Let t = u + -20. Let s = t + 0.04. Is s bigger than 4?
False
Suppose 0 = -2*k - 2*p - 12, 3*p + 23 = 2*k - 2*p. Let u = k + 3. Is 3/5 less than u?
True
Let h be ((-3)/27)/((-3)/18). Which is smaller: -5 or h?
-5
Suppose 0 = 7*z + 1 + 6. Let j be (60/21)/(-4) - -1. Is j at most as big as z?
False
Let y = 0.79 - 0.09. Let n = y - -0.3. Let o = 2 + -2.2. Is n <= o?
False
Let v = -0.29 + -0.01. Let o = 1.3 + v. Is -1/5 less than o?
True
Let o = -1.2 + 1. Let u be (-14)/(-49) - 2/56. Which is smaller: u or o?
o
Let n(w) be the third derivative of -w**4/12 + w**3/6 + 2*w**2. Let b be n(8). Is b bigger than -15?
False
Let w(q) = -q**2 - 7*q + 12. Let u be w(-9). Let c be (-138)/36 - u/4. Is -3 bigger than c?
False
Let u = 0 - 0. Let p = 0.07 + -0.27. Let m = u - p. Which is smaller: -2/5 or m?
-2/5
Let y(w) = -w - 2. Let v be y(-6). Suppose -4*c = v*z + 16, 14 = -4*c - 2*z + 6. Which is greater: 2 or c?
2
Suppose 0 = 4*o - 0*o - 4. Let v be (1 - o) + 2/(-3). Is 2/3 < v?
False
Let f be ((-4)/24)/((-2)/(-6)). Let c = f - 1/6. Let l = 0 + -1. Which is smaller: l or c?
l
Let t = 202 + -1619/8. Let i(z) = 2*z - 10. Let g be i(7). Suppose g*j = j. Which is smaller: t or j?
t
Let k be 0 + (-2)/(24/(-9)). Let g = 3 + -2. Is k not equal to g?
True
Let w = 8 - 3. Suppose -w*c = -0*c. Is -1 > c?
False
Suppose 0*y - 2*y + 19 = 5*c, 3*y = -4*c + 11. Which is greater: c or 22/5?
c
Let l = 155/4 - 38. Let b = -5/4 + l. Which is bigger: 0 or b?
0
Let g be ((-1)/130)/(3 + 10/(-4)). Which is smaller: g or 1?
g
Suppose -4*p + 2*p = -4. Suppose 3*b + 0 = 2*u - 5, 3*b - 15 = -3*u. Is b at least p?
False
Let t be (-7 - -11) + -1 + 1. Suppose 0 = -y - y + 4. Suppose 0 = -y*q - t, 0 = 5*g - 0*g + 2*q + 9. Is -2/29 at least g?
True
Let l = 98 - 99. Is -1 less than or equal to l?
True
Let b be (2/(-6))/((-1)/(-3)). Let u be (9/15)/(b/(-5)). Is u >= 3?
True
Suppose 8*f = 3*f + 10. Suppose -f*o + 4*o - 10 = 0. Suppose 4*z = -5*n + 5 + 2, -n + o = -z. Is 2 bigger than n?
False
Suppose 1 = 10*r - 9*r. Which is bigger: r or -1?
r
Let d be 1*((-8)/(-11) + 0). Let k = 208 + -9151/44. Let t = d + k. Which is smaller: 1 or t?
t
Let b(y) = y + 7. Let q be b(-6). Let g be (q/(-2))/(1/2). Let a = 0 + g. Which is smaller: 2 or a?
a
Let q = -121/17 - -30579/4301. Is q less than -1?
False
Let w = 8.5 + 0.5. Let v = 0.06 + 9.94. Let g = w - v. Which is smaller: g or 4/5?
g
Let i = 30 - 25. Let v be 1*((-2)/3 - -1). Is i > v?
True
Let i be (-14)/20 - 2/(-10). Let s = -6.22 - -3.2. Let g = s + 0.02. Which is greater: g or i?
i
Suppose 0 = -0*h - 2*h. Suppose h = x - 4 - 3. Is -1 >= x?
False
Let n = -38/3 + 377/30. Suppose -3*i + 12 = 5*y, -4*y = 3*i - 9*y + 18. Is i less than n?
True
Let k = 17 + -17. Suppose -l = -k*l. Is l at least 1?
False
Let d = -1/4 + -1/12. Is d not equal to -7?
True
Suppose 0 = -2*l + k - 9, 4*k = -0*k + 20. Which is bigger: -1 or l?
-1
Let b be 150/9*8/16. Which is bigger: b or 8?
b
Let i(h) be the second derivative of -h**4/4 + h**3/3 - h**2 - h. Let x be i(4). Let r be 122/x - (0 + -3). Is r > 0?
True
Let c(i) = 2*i**2 + i. Let d be c(1). Suppose 1 = -d*o + 7. Let l be (3 + -3)/(0 - o). Do 1/2 and l have different values?
True
Let s(o) = o**3 - 7*o**2 - 9*o + 8. Let b be s(8). Suppose 5 + 7 = -3*f. Let d = 3 + f. Which is smaller: d or b?
d
Let r(c) = 5*c**3 - 3*c**2 + 7*c. Let k(u) = -14*u**3 + 9*u**2 - 20*u. Let s(x) = -6*k(x) - 17*r(x). Let a be s(-3). Is -3 bigger than a?
False
Let z(t) = 2*t + 2. Let k be z(-7). Let x = k + 11. Which is smaller: 2/25 or x?
x
Let v = -8 - -9. Let u = -9 + 7. Which is smaller: u or v?
u
Let o = 36 | {
"pile_set_name": "DM Mathematics"
} |
What comes next: 189580, 189569, 189558, 189547, 189536, 189525?
189514
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943562
What is next in 2375, 2553, 2731, 2909, 3087, 3265?
3443
What is next in -10847, -21619, -32391, -43163?
-53935
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-75492
What is the next term in 3204, 6417, 9632, 12849, 16068?
19289
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-168230
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82527
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25078
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320903
What is the next term in 65011, 65053, 65083, 65095, 65083?
65041
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4711
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-14837
What is the next term in -3172, -3190, -3238, -3328, -3472, -3682?
-3970
What comes next: 126, 296, 498, 738, 1022?
1356
What is next in -45, -12, 25, 54, 63, 40, -27, -150?
-341
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-6568
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-5761
What is the next term in 595972, 1191932, 1787880, 2383810, 2979716?
3575592
What is next in -38, 281, 820, 1585, 2582?
3817
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-3106
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434964
What is next in 779, 668, 577, 500, 431, 364, 293, 212?
115
What comes next: -7650, -7635, -7610, -7575, -7530?
-7475
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22240
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385164
What is the next term in -1126, -2298, -3470, -4642, -5814?
-6986
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14133
What is the next term in 544, 478, 368, 214, 16?
-226
What is the next term in -27024, -54201, -81392, -108603, -135840?
-163109
What is next in 23127, 23128, 23129?
23130
What is next in -2080, -4167, -6252, -8329, -10392, -12435, -14452?
-16437
What is next in 700, 633, 560, 481, 396, 305?
208
What is the next term in -10, -93, -176, -259, -342, -425?
-508
What is next in 2197485, 2197488, 2197491, 2197494, 2197497?
2197500
What is the next term in -738546, -738548, -738550, -738552, -738554?
-738556
What is the next term in 92450, 92449, 92448, 92447, 92446?
92445
What comes next: -7573, -15141, -22709, -30277?
-37845
What is next in -1255, -1261, -1269, -1279, -1291?
-1305
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4070
What is the next term in -91201, -91196, -91189, -91180, -91169?
-91156
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-28160
What is the next term in 3148231, 3148233, 3148235, 3148237, 3148239, 3148241?
3148243
What is next in -1689, -3360, -5013, -6642, -8241, -9804, -11325, -12798?
-14217
What is next in -4573, -4585, -4603, -4627?
-4657
What comes next: 632960, 1265921, 1898882, 2531843, 3164804, 3797765?
4430726
What is the next term in 36249, 36252, 36259, 36270, 36285?
36304
What comes next: 86770, 86782, 86794?
86806
What comes next: 208, 345, 720, 1453, 2664, 4473?
7000
What is next in 229, 396, 675, 1066, 1569, 2184, 2911?
3750
What comes next: -388675, -388681, -388697, -388729, -388783, -388865, -388981, -389137?
-389339
What is the next term in -299, -240, -127, 46, 285, 596, 985?
1458
What is next in 8756, 17469, 26182?
34895
What is next in 26192, 26193, 26194, 26195, 26196, 26197?
26198
What comes next: 3574, 3565, 3556, 3547, 3538, 3529?
3520
What is next in 17, 69, 153, 269?
417
What is the next term in -101272, -101244, -101216, -101188?
-101160
What is the next term in 290, 272, 268, 278, 302, 340, 392?
458
What is the next term in -307, -1076, -2301, -3982?
-6119
What is the next term in -38141, -38023, -37905, -37787, -37669?
-37551
What is next in -1050, -1062, -1084, -1116, -1158, -1210?
-1272
What is the next term in 19, 123, 311, 583, 939, 1379, 1903?
2511
What is the next term in -2902, -5776, -8650, -11524?
-14398
What is next in 5598, 11196, 16792, 22386, 27978, 33568, 39156?
44742
What comes next: -59, -555, -1883, -4457, -8691, -14999, -23795?
-35493
What comes next: 490, 2042, 4630, 8254?
12914
What comes next: -1068, -872, -554, -120, 424, 1072, 1818, 2656?
3580
What is next in 1739, 3497, 5241, 6965, 8663, 10329?
11957
What comes next: -17378, -17404, -17432, -17462, -17494?
-17528
What is next in 2468, 2359, 2254, 2153?
2056
What is the next term in 3505, 6992, 10489, 14002, 17537, 21100?
24697
What is next in 2279818, 2279817, 2279816?
2279815
What comes next: 56044, 56042, 56042, 56044?
56048
What is the next term in -89, -343, -729, -1241, -1873?
-2619
What is next in 419, 3319, 11169, 26441, 51607, 89139?
141509
What is next in 249, 335, 421?
507
What comes next: -3375, -3345, -3303, -3249, -3183, -3105?
-3015
What is the next term in 1989869, 1989869, 1989867, 1989863, 1989857, 1989849, 1989839?
1989827
What is the next term in -2959, -5920, -8887, -11860, -14839, -17824, -20815?
-23812
What comes next: 716, 641, 442, 59, -568, -1499, -2794?
-4513
What is next in 4354, 8150, 11946?
15742
What is next in -1986, -1988, -1990, -1992?
-1994
What is next in 1537, 3110, 4681, 6250, 7817, 9382?
10945
What is next in 26206, 26229, 26274, 26353, 26478, 26661, 26914, 27249?
27678
What comes next: -138, -246, -354, -462, -570, -678?
-786
What is next in 554, 2227, 5022, 8945, 14002, 20199, 27542, 36037?
45690
What is next in 3246, 6499, 9752, 13005, 16258?
19511
What comes next: -60064, -60042, -60020?
-59998
What comes next: -1396, -1393, -1390?
-1387
What comes next: -76979, -153960, -230943, -307928, -384915?
-461904
What is the next term in 100294, 200588, 300886, 401188, 501494, 601804?
702118
What is the next term in -7903, -7898, -7891, -7882, -7871?
-7858
What is the next term in -323, -266, -209, -152?
-95
What comes next: 2508, 5004, 7502, 10002, 12504, 15008, 17514?
20022
What is the next term in -3518, -3647, -3776?
-3905
What comes next: -5220, -10440, -15660, -20880, -26100, -31320?
-36540
What comes next: 529, 580, 657, 760, 889, 1044?
1225
What comes next: 39, 900, 3657, 9390, 19179, 34104, 55245, 83682?
120495
What comes next: -1147, -1232, -1343, -1492, -1691, -1952?
-2287
What is the next term in -27571, -27566, -27561, -27556?
-27551
What is next in -10087, -40330, -90733, -161296, -252019, -362902, -493945?
-645148
What comes next: -552, -729, -1022, -1431, -1956, -2597, -3354?
-4227
What is next in -33041, -33040, -33039, -33038, -33037, -33036?
-33035
What is next in -119, -301, -589, -1037, -1699?
-2629
What is next in -18175, -72716, -163619, -290884, -454511?
-654500
What comes next: -6149783, -6149791, -6149811, -6149849, -6149911, -6150003, -6150131, -6150301?
-6150519
What is next in -107, -136, -197, -302, -463?
-692
What comes next: -1356, -2684, -4012?
-5340
What is the next term in 589, 2365, 5329, 9481, 14821, 21349, 29065?
37969
What is next in 2111, 2051, 1977, 1889?
1787
What is the next term in 273, 2218, 7519, 17856, 34909, 60358, 95883, 143164?
203881
What is next in 247, 99, -45, -185, -321?
-453
What is next in 203972, 407944, 611916, 815888?
1019860
What comes next: -198, -250, -338, -468, -646, -878?
-1170
What comes next: -44, -333, -1112, -2627, -5124?
-8849
What is next in -460, -534, -606, -676, -744, -810?
-874
What comes next: -1247810, -2495618, -3743426, -4991234, -6239042, -7486850?
-8734658
What is next in 80, -482, -1044, -1606?
-2168
What is next in 540, 1078, 1674, 2358, 3160, 4110?
5238
What comes next: 1350, 5381, 12104, 21519?
33626
What comes next: -143140, -286254, -429370, -572488, -715608, -858730?
-1001854
What comes next: -307342, -307343, -307344, -307345?
-307346
What is the next term in -3790, -3808, -3826?
-3844
What comes next: 356744, 1426986, 3210722, 5707952, 8918676?
12842894
What is the next term in 6126, 6265, 6392, 6501, 6586?
6641
What is the next term in -1939, -3874, -5803, -7726, -9643?
-11554
What comes next: 604, 1112, 1610, 2092, 2552, 2984?
3382
What comes next: 502, 1051, 1600, 2149?
2698
What is next in -7629, -30599, -68885, -122481, -191381, -275579, -375069?
-489845
What is next in -899, -930, -987, -1076, -1203, -1374, -1595?
-1872
What comes | {
"pile_set_name": "DM Mathematics"
} |
-2). Let v(d) = -n*d**2 + 2 - 2. Let i(m) = -16*m**2 + 4*m**2 + 10*m**2. Determine i(v(u)).
-8*u**4
Let r(m) = -11 - 626*m + 3 + 623*m + 2 - 11. Let a(d) = -2*d**2. Calculate r(a(j)).
6*j**2 - 17
Let m be -1 - (14/(-8))/((-5)/20). Let h(g) = -4*g. Let l(q) = -6*q. Let b(i) = m*h(i) + 5*l(i). Let o(p) = -4*p + 1. Calculate o(b(d)).
-8*d + 1
Let l(w) = 2*w**2. Let x(s) be the second derivative of -s**3/3 - 21*s**2 + 111*s - 2. Determine l(x(f)).
8*f**2 + 336*f + 3528
Let d(a) = -179*a**2. Let j(t) be the third derivative of -t**4/8 + 588*t**2. Give j(d(o)).
537*o**2
Let p(q) be the second derivative of q**4/12 - 7*q + 15. Let u(j) = -7*j**2 + 44. Give p(u(m)).
49*m**4 - 616*m**2 + 1936
Let y(k) = -2*k. Let w(l) = -62*l**2 - 8*l + 8. Let m(u) = 61*u**2 + 6*u - 6. Let x(h) = 4*m(h) + 3*w(h). Give y(x(j)).
-116*j**2
Let l(w) = 89*w - 2. Let y(f) = -1630*f**2. What is l(y(m))?
-145070*m**2 - 2
Let f(j) = 148*j**2 + 6*j. Let h(s) = -2*s**2 + 2. Give f(h(c)).
592*c**4 - 1196*c**2 + 604
Let i(k) = k + k + 2*k - 2*k. Let y(d) = -d - 13. Let x be y(0). Let j(g) = -7*g - 6. Let c(n) = 15*n + 13. Let f(l) = x*j(l) - 6*c(l). What is f(i(m))?
2*m
Let g(z) = -2*z**2. Let f(y) = -8 + 11 + 46*y - 21*y - 21*y. Give g(f(r)).
-32*r**2 - 48*r - 18
Let u(j) = 9074*j. Let d(b) = -61*b. Give u(d(m)).
-553514*m
Let f(b) = -3*b - 12. Let o(z) = 12*z + 10. Determine o(f(t)).
-36*t - 134
Let c(x) = 5*x. Let l(n) be the first derivative of 13 - 12 + 9 + n**3. Give l(c(a)).
75*a**2
Let a(d) = 12*d. Let k(g) = -g**3 - 7*g**2 + 10*g + 20. Let j be k(-8). Let z(o) = 4*o + 3*o - 2*o - j*o. Determine z(a(r)).
12*r
Let l(g) = -24*g + 11*g + 10*g. Let s(j) = j - 7*j + 7*j. Give s(l(n)).
-3*n
Let y(i) be the second derivative of i**6/120 - i**4/6 - 17*i. Let w(a) be the third derivative of y(a). Let d(k) = -2*k. What is d(w(h))?
-12*h
Let c(b) = 2*b**2. Let i(r) = 79*r**2 + 400. Calculate i(c(n)).
316*n**4 + 400
Let u(n) = -3*n**2 - 5*n**2 + 25*n**2 - 21*n**2. Let l(o) = 9*o**2 + o**2 - o**2. Determine l(u(w)).
144*w**4
Let o(l) = 35*l. Let x(i) be the second derivative of -i**3/6 - 306*i. Give x(o(k)).
-35*k
Let f(d) = d - 5. Let b(y) = 2*y**2 - 17*y. Calculate f(b(n)).
2*n**2 - 17*n - 5
Let h(j) = 5*j**2 - 11*j**2 + 11*j**2. Let t(k) = 2*k**2. Determine h(t(o)).
20*o**4
Let s(g) be the third derivative of 7/60*g**5 + 0*g**3 - 2*g**2 + 0*g**4 + 7 + 0*g. Let a(i) = 6*i**2. What is a(s(n))?
294*n**4
Let v(k) = k. Let o(q) = 579 + 5*q + 584 - 1172. Calculate o(v(s)).
5*s - 9
Let x(w) = 4*w**2 + 3*w**2 - 4*w**2. Suppose 2*b - 4*b + 2*y + 2 = 0, b - 4*y = -2. Let p(k) = 2*k**2 + 4*k**2 - 4*k**b + 0*k**2. What is x(p(r))?
12*r**4
Let g(r) = -6*r - 5. Let t(j) = 5*j + 4. Let c(h) = h**2 + h - 7. Let z be c(-4). Let k(b) = z*t(b) + 4*g(b). Let i(d) = -4*d**2. Determine k(i(m)).
-4*m**2
Let m(o) = 21*o. Let y(f) = -3753*f. Give y(m(h)).
-78813*h
Let g(t) = -515*t + 10. Let n(m) = -5*m. Calculate n(g(h)).
2575*h - 50
Let k(a) = -40*a + 0 + 0 - 37*a + 85*a. Let n(u) = -5*u. Determine k(n(x)).
-40*x
Let j be 1/((-2)/(-5) + (-105)/450). Let u(v) = -j*v + 7*v - 4*v. Let p(i) = -3*i**2. Give p(u(h)).
-27*h**2
Let d(p) = 2*p. Let k(w) = -5292*w + 5. What is d(k(j))?
-10584*j + 10
Let z(c) = 13*c - 2. Let a(t) be the second derivative of -t**7/2520 + 37*t**4/12 + 41*t. Let o(b) be the third derivative of a(b). Give z(o(j)).
-13*j**2 - 2
Let r(j) be the first derivative of j**2/2 + 4. Let n(t) = -6*t**2. Let s(z) = 5*z**2. Suppose 8*p = 5*p + 6. Let k(g) = p*n(g) + 3*s(g). Determine r(k(l)).
3*l**2
Let a(o) = 3*o - 1. Let f(j) = -j + 1626. What is a(f(s))?
-3*s + 4877
Let a(b) = 3*b**2. Let o(j) = j**2 - j. Let i be o(1). Suppose 0 = -s + 3, i*r - 4*r = -2*s - 1194. Let y(n) = -r + 300 - 2*n. Give a(y(u)).
12*u**2
Let l(x) = 5*x**2 - 3*x - 3. Let g(p) = 36*p**2 - 20*p - 20. Let y(j) = 3*g(j) - 20*l(j). Let h(b) = 3*b**2. Determine y(h(c)).
72*c**4
Let a(r) = 2*r. Let z(o) be the second derivative of -2*o + 0 + 1/6*o**3 + 0*o**2. Calculate a(z(l)).
2*l
Let k(d) = 10*d**2 + 5*d**2 - 7*d**2 + 12*d**2. Let g(s) = 2*s**2. What is g(k(n))?
800*n**4
Let l(u) be the second derivative of -5*u**4/24 + u**2/2 - 5*u. Let s(v) be the first derivative of l(v). Let k(w) = 3*w**2 - w**2 + 18 - 18. What is k(s(i))?
50*i**2
Let u(g) = g. Let b(l) = -l**2 + l - 1. Let i be (57/(-6) + 2)*(-24)/30. Let n(h) = -7*h**2 + 6*h - 6. Let p(a) = i*b(a) - n(a). Give p(u(s)).
s**2
Let z(u) = u. Let j(x) = -x + 11. Let w(l) = l**3 - 10*l**2 + l - 8. Let g be w(10). Let h(y) = 4*y - 6 - g*y - y. Let c(m) = -11*h(m) - 6*j(m). Give z(c(v)).
-5*v
Let k be ((-116)/(-6))/(2/(-3)). Let s = 31 + k. Let i(b) = -b**2 + b**s - 2*b**2. Let w(g) = -3*g. Calculate i(w(h)).
-18*h**2
Let r(d) = 144 - d**2 - 144. Let a(f) be the first derivative of -f**4/8 - f**2/2 + 1. Let n(s) be the second derivative of a(s). Calculate n(r(y)).
3*y**2
Let h(l) be the second derivative of l**3/3 - l. Let m(c) = 3 - 10*c - 158*c**2 - 3 + 0*c + 161*c**2. Give h(m(x)).
6*x**2 - 20*x
Let d(l) = 14*l + 10. Let f(y) = -20*y - 14. Let g(p) = -7*d(p) - 5*f(p). Let i(o) = -10*o. Calculate i(g(s)).
-20*s
Let p(a) = -a + 4. Let i(u) = -u + 5. Let k(g) = g**3 + 7*g**2 + 11*g + 1. Let c be k(-5). Let v(r) = c*i(r) + 5*p(r). Let o(h) = -h - 10. What is o(v(z))?
z - 10
Let h(n) be the second derivative of 5*n**3/6 + n + 111. Let y(t) = 102*t. Give h(y(p)).
510*p
Let b(u) = -135*u**2 - 2*u - 106. Let z(t) = 2*t**2. Calculate b(z(p)).
-540*p**4 - 4*p**2 - 106
Let p(i) = -6*i**2. Suppose -2*f = -267 + 229. Let n(b) = 21 + b**2 + f - 40. Calculate n(p(t)).
36*t**4
Let l(n) = -n + 100. Let x(s) = 51*s - 2. What is x(l(q))?
-51*q + 5098
Let v(t) = -t. Let j(f) = 1870*f - 2. Give j(v(m)).
-1870*m - 2
Let y(k) = k**2. Let b(v) be the second derivative of 0*v**2 - 13*v - 7/3*v**3 + 0. What is y(b(p))?
196*p**2
Let v(g) = 5*g. Let l(b) = -108492*b. Calculate l(v(m)).
-542460*m
Let v(x) be the first derivative of 5*x**2/2 - 66. Let i(u) = 6*u**2. Let b(z) = z**2. Let s(o) = -33*b(o) + 6*i(o). Determine v(s(r)).
15*r**2
Let v(i) = -i**2 + 15*i + 5. Let x(q) = -65*q. Calculate v(x(r)).
-4225*r**2 - 975*r + 5
Let d(k) = -26*k**2. Let x(h) be the third derivative of -h**5/5 - h**2 - 7*h. Give d(x(s)).
-3744*s**4
Let b(q) = 2*q. Let f(o) be the first derivative of 3*o**5/40 - 4*o**3 - 6. Let h(j) be the third derivative of f(j). What is h(b(k))?
18*k
Let m(a) = a. Let s(z) = 8*z. Let g(n) = n + 6. Let b be g(-7). Let r = -12 - -18. Let c(l) = b*s(l) + r*m(l). Let y(o) = o**2. Determine c(y(h)).
-2*h**2
Let n(m) = 66*m - 9. Let g(a) = -34*a + 4. Let l(s) = 10*g(s) + 4*n(s). Let w(h) = 2*h. What is l(w(b))?
-152*b + 4
Let m(v) be the second derivative of -v**4/12 - 273*v - 1. Let q(c) = -2*c - 81. Give q(m(a)).
2*a**2 - 81
Let c(o) = -5*o + 7. Let q(u) = u - 1. Let i(b) = c(b) + 2*q(b). Let x(j) be the second derivative of j**4/12 - 267*j. Give x(i(r)).
9*r**2 - 30*r + 25
Let y(m) = 10*m. Let v(d) be the first derivative of 27*d**3 + 609. Give y(v(t)).
810*t**2
Suppose 6*w = 3*w + 51. Let y = 17 - w. Let h(n) = 0*n + y - n + 0. Let z(l) = -8*l. Give z(h(p)).
8*p
Let o(s) = -18*s**2. Let l be (-1 + 0 + 1)/(-1). Let y(q) = -q + q + q + l. What is o(y(p))?
-18*p**2
Let s(o) = 2*o**2. Let y = -6 - -2. Let b be y/6 + 179/3. Let v(u) = -b*u + 59*u - 4*u**2. Determine s(v(x)).
32*x**4
Let w(v) = -v - 2*v - v - 3*v. Let l(t) be the first derivative of -2*t**3/3 + 3*t**2/2 + 4. Let a(n) = -n. Let q(b) = -3*a(b) - l(b). Give q(w(o)).
98*o**2
Let z(u) = -55*u. Let r(g) = -7*g**2 + 143*g - 1. Determine r(z(d)).
-21175*d**2 - 7865*d - 1
Let q(a) = -6*a**2. Let g = -24 - -32. Let s(c) = 3*c - 8*c + g*c. What is q(s(u))?
-54*u**2
Let n(y) = -6*y + 3*y + 2*y. Let c(g) = 5*g - 6*g + 6*g. Determine c(n(p)).
-5*p
Let p(u) = 2*u**2. Let l(y) = -8*y**2 + 25*y. Let d(r) = -8*r - 26. Let o be d(-4). Let k(x) = -x**2 - x. Let z(t) = o*k(t) - l(t). What is p(z(q))?
8*q**4 - 248*q**3 + 1922*q**2
Let j(m) = 5778*m**2 - 1. Let y(n) = -104*n**2. Give j(y(p)).
62494848*p**4 - 1
Let a(c) = 34*c. Let u(r) = 102926*r. Give u(a(p)).
3499484*p
Suppose 9 = y + 2*y. Let a(v) = -3 + y - 2*v. Let u(c) be the first derivative of 2*c**2 + 148. Determine u(a(d)).
-8*d
Let w(h) = -2*h. Let a(j) = 2*j**2 + j + 1. Let q be a(-1). L | {
"pile_set_name": "DM Mathematics"
} |
i) = 4*m(i) + 3*o(i). What is j(f(l))?
-90*l**2
Let h(r) = 6*r + 0*r + 14*r - r. Let n(s) = 17*s. Let k(d) = -1 - 280*d + 276*d + 1. Let u(j) = -12*k(j) - 3*n(j). Calculate u(h(t)).
-57*t
Let u(z) = -7*z**3 - 4*z**2 - 6*z - 10. Let w be u(-3). Let i(d) = 156*d**2 + w*d**2 - 313*d**2. Let n(x) = -63*x. Determine n(i(q)).
-252*q**2
Let l(g) = 53*g**2 - 1292 + 2926 + 69*g**2 - 1634. Let z(y) = 2*y**2 + 48*y. Calculate z(l(d)).
29768*d**4 + 5856*d**2
Let f(w) = -922990*w + 45. Let m(t) = 2*t**2. Calculate f(m(z)).
-1845980*z**2 + 45
Let m(n) = 375680*n**2 + 2*n. Let a(y) = y + 80. What is a(m(u))?
375680*u**2 + 2*u + 80
Let s(i) = -6185*i - 6184*i + 12367*i. Let z(q) be the third derivative of 2*q**2 + 0*q + 0 + 0*q**3 - 11/24*q**4. Calculate s(z(d)).
22*d
Let u(q) be the second derivative of -11*q**4/12 - 7401*q. Let s(c) = -199*c**2. Determine u(s(k)).
-435611*k**4
Let r(v) = 675*v**2. Let c(k) = -713606*k**2. Give r(c(n)).
343732628184300*n**4
Let p(m) = -6*m - 1. Let a(t) = -t**2 + 21*t - 3. Let i(z) = 2*z**2 - 56*z + 8. Let l(n) = -8*a(n) - 3*i(n). Determine l(p(d)).
72*d**2 + 24*d + 2
Let u(y) = -4*y - 28316. Let x(h) = 17*h - 3. Calculate u(x(a)).
-68*a - 28304
Let g(t) = 12*t**2 + 10*t - 15. Let k(i) = 13*i**2 + 12*i - 18. Let x(m) = -6*g(m) + 5*k(m). Let v(o) = -167*o**2. What is x(v(a))?
-195223*a**4
Let a(b) be the first derivative of b**2 - 1. Let d be ((-17 - -13)*2/(-4))/1. Let j(p) = 10*p**d - 6*p**2 + 19*p**2. Give a(j(n)).
46*n**2
Let u(g) = 72*g**2. Let b be 13/(325/20)*5/2. Let k(c) = 0*c - 8*c + 8*c - 5*c**2 + 3*c**b. What is u(k(j))?
288*j**4
Let c(q) = -3*q**2. Let l(v) be the first derivative of 19*v**6/180 + 17*v**3/3 - v + 152. Let u(n) be the third derivative of l(n). What is c(u(s))?
-4332*s**4
Let p(k) = 9*k. Let i be (-28)/12*3 + 54. Let m(n) = -i*n - 5 + 5 + 25*n. What is p(m(g))?
-198*g
Let b(p) = -2039*p**2. Let h(q) = -3*q - 2. Let a(v) = 28*v + 18. Let k(z) = -2*a(z) - 18*h(z). Calculate b(k(y)).
-8156*y**2
Let f(k) be the first derivative of -k**3/3 - k**2 + 1. Let l(b) = -3*b**2 - 8*b. Let v(g) = -4*f(g) + l(g). Let x(q) = 5*q**2. Calculate x(v(p)).
5*p**4
Let n(v) = -3*v**2. Let u(y) be the first derivative of 17*y**4/12 + 17*y - 60. Let l(h) be the first derivative of u(h). What is l(n(c))?
153*c**4
Let u(x) = 6*x**2. Let z(q) = -6*q + 46 - 14 - 20 - 13. Give z(u(y)).
-36*y**2 - 1
Let s(g) = -19*g + 9. Suppose 2*a = 3*u - 8, -5*u = -0*u + 2*a - 8. Let d(f) = -20*f + 7. Let y(c) = u*s(c) - 3*d(c). Let q(w) = 2*w**2. Give q(y(b)).
968*b**2 - 264*b + 18
Let r(p) = 44230*p**2 + 44220*p**2 - 88411*p**2. Let o(z) = -2*z - 19. Calculate r(o(h)).
156*h**2 + 2964*h + 14079
Let i(y) = 51*y**2 - 67*y. Let p(h) be the first derivative of -h**2 - 7303. Determine i(p(d)).
204*d**2 + 134*d
Let b(q) = 42*q - 384976. Let p(u) = 4*u**2. What is b(p(r))?
168*r**2 - 384976
Let a(d) = 98*d. Let m(g) = -368*g**2 + 36*g + 18. Let b(s) = -21*s**2 + 2*s + 1. Let h(v) = 36*b(v) - 2*m(v). Give h(a(r)).
-192080*r**2
Let b(y) = y**3 + 14*y**2 - 5*y - 12. Let p be b(-13). Let s(u) = -222 + p - 5*u. Let k(z) be the second derivative of 5*z**4/6 + 6*z. Determine k(s(x)).
250*x**2
Let l(c) be the second derivative of -2/3*c**3 + 8*c + 0 + 0*c**2. Let n(g) = 27*g**2. Let a(m) = -5*m**2. Let j(o) = -11*a(o) - 2*n(o). What is j(l(i))?
16*i**2
Let q(m) = 4244*m**2. Let x(j) = -84*j. Calculate q(x(a)).
29945664*a**2
Let r(z) = -2*z**2. Let g(q) = 2514*q - 4756225 + 4756225. Calculate g(r(c)).
-5028*c**2
Let f(y) = -116*y**2 + 6*y. Let c(t) = -13*t**2 - 3*t + 3. Let d(m) = 56*m**2 + 13*m - 13. Let b(s) = -26*c(s) - 6*d(s). Determine f(b(r)).
-464*r**4 + 12*r**2
Let l(m) = m**2 - 84*m. Let d(y) = -42*y. Let u(q) = -4*d(q) + 2*l(q). Let g(c) = -4*c + 19. Calculate g(u(v)).
-8*v**2 + 19
Let b(f) = -4*f + 14*f - f. Let v(l) = 12*l + 12. Let p(j) = -37*j - 42. Let z(c) = -2*p(c) - 7*v(c). Calculate b(z(m)).
-90*m
Let b(x) = 69*x. Let y(k) be the second derivative of k**4/24 - 25*k**2/2 - 90*k. Let r(l) be the first derivative of y(l). Give b(r(a)).
69*a
Let u(n) be the first derivative of -3*n**3 + 1588. Let k(p) = 28*p**2 - p. Give k(u(w)).
2268*w**4 + 9*w**2
Let f(p) = 96*p. Let g(a) be the third derivative of -20*a**2 + 0*a + 3 - 1/30*a**5 + 0*a**4 + 0*a**3. Calculate f(g(m)).
-192*m**2
Let g(l) = l - 4*l + 2*l. Let v(c) = c**2 + 18*c + 37. Let u be v(-19). Let s(r) = 232*r + 56. Let i(m) = -21*m - 5. Let o(z) = u*i(z) + 5*s(z). Give g(o(y)).
16*y
Let z = -276 + 271. Let l(r) = -r**2 - 5*r + 10. Let b(k) = -k + 2. Let f(a) = z*b(a) + l(a). Let c(j) = 8*j - 4. What is f(c(x))?
-64*x**2 + 64*x - 16
Let h(j) = 8*j**2. Let v(f) be the third derivative of 53*f**4/8 + 2*f**2 + 1653. Give v(h(a)).
1272*a**2
Let c(q) = -2*q**2 - 9*q + 48. Let i(k) = k**2 + 3*k - 16. Let d(y) = -c(y) - 3*i(y). Let a(v) = -6693*v. What is a(d(z))?
6693*z**2
Let m(a) = 3*a + 14. Let z(l) = 6*l**2 - 175562*l + 175562*l. What is m(z(j))?
18*j**2 + 14
Let l(y) = -321257160*y. Let c(f) = 2*f. What is c(l(g))?
-642514320*g
Let t(f) = -17*f. Let m(c) be the second derivative of 37*c**3/6 + 2*c**2 + 4599*c. Calculate m(t(j)).
-629*j + 4
Let o(a) = -6*a**2 - 288*a. Let m(i) = -687*i + 1. What is o(m(y))?
-2831814*y**2 + 206100*y - 294
Let r(l) = 2*l + 14760102. Let w(m) = -m**2. Calculate r(w(g)).
-2*g**2 + 14760102
Let s(n) = -33*n**2 + 21*n - 42. Let u(k) = -3*k**2 + 2*k - 4. Let i(r) = 6*s(r) - 63*u(r). Let b(m) = 5*m**2 - 5*m. Determine b(i(q)).
405*q**4 + 45*q**2
Let j(c) = 11872*c**2. Let w(d) = 317*d - 1. What is w(j(f))?
3763424*f**2 - 1
Let z(t) = 17702*t. Let s(j) = -930*j**2. Give s(z(x)).
-291425547720*x**2
Let a(n) be the second derivative of 0*n**3 + 2*n + 3/4*n**4 + 0 + 0*n**2. Let q(c) be the third derivative of -c**5/30 + 4*c**2 + 17*c - 2. Determine a(q(h)).
36*h**4
Let p(h) = -2*h**2. Let x(l) = 3*l - 1. Let i(t) = -59*t - 9*t - 2*t + 3. Let d(u) = -i(u) - 3*x(u). What is p(d(g))?
-7442*g**2
Let g(b) = -2*b**2 + b**2 + 4*b**2 + b**2. Let m(o) = 21*o**2 + 53*o + 34. Let l(r) = -10*r**2 - 25*r - 16. Let n(i) = -17*l(i) - 8*m(i). What is n(g(a))?
32*a**4 + 4*a**2
Let b(x) be the first derivative of -17*x**2/2 + 8735. Let h(i) = -26*i**2 + 3. What is h(b(o))?
-7514*o**2 + 3
Let w(t) = 69*t**2. Let v(c) be the second derivative of -c**3/6 + 83*c - 1. Calculate v(w(b)).
-69*b**2
Let v(i) = -933*i + 1919*i - 981*i. Let d(z) = -1936*z**2. Give d(v(t)).
-48400*t**2
Let c(l) = -3*l. Let z(u) be the third derivative of -u**5/60 - 109*u**3 + 16*u**2 + 9*u - 1. Give z(c(x)).
-9*x**2 - 654
Suppose -u + z = -z - 332, -4*z = -5*u + 1660. Let l(d) = 2*d - 332 - d + u. Let m(j) be the first derivative of -2*j**3 + 2. What is l(m(w))?
-6*w**2
Let g(n) be the first derivative of 25*n**2/2 - 299. Let v(y) = 10*y**2 - 2*y. What is g(v(x))?
250*x**2 - 50*x
Let a(d) be the first derivative of -280*d**2 + d + 853. Let p(t) = -2*t. What is p(a(y))?
1120*y - 2
Let p(u) = 207 - 69 - 103*u - 65 - 72. Let f(v) = -15*v**2. Calculate p(f(t)).
1545*t**2 + 1
Let k(z) = 148*z**2. Let s(p) = 2*p - 2. Let u(w) = -2*w**2 + 10*w - 10. Let n(x) = 15*s(x) - 3*u(x). What is n(k(a))?
131424*a**4
Let q(g) = -g. Suppose w - 14 - 9 = 0. Suppose 8*s = 6*s + 5*u + 36, -3*s - 3*u + 33 = 0. Let n(d) = -s + 10*d - 10 + w. Calculate q(n(i)).
-10*i
Let l(r) be the first derivative of -r**3/6 + 27*r - 20. Let h(o) be the first derivative of l(o). Let v(b) = -78*b. Calculate h(v(i)).
78*i
Let p(r) be the third derivative of 2*r**5/15 + r**3 - 5395*r**2. Let b(x) = -14*x**2. Determine p(b(h)).
1568*h**4 + 6
Let w(r) = 18*r. Suppose 2*d - 10 = 5*q, 0 = -2*q - 0*q - 5*d + 25. Let c be (2 + 4)/(-2 + (q - -3)). Let l(f) = 2*f + 3*f - c*f. Give l(w(m)).
-18*m
Let r(q) = 19*q**2. Let w(j) = -27777*j + 15. What is w(r(s))?
-527763*s**2 + 15
Let x(d) = -4688708*d**2. Let l(j) = -81*j**2. What is x(l(i))?
-30762613188*i**4
Let b(j) be the third derivative of 7*j**5/60 - 1449*j**2. Let l(v) be the first derivative of -1 - 2*v**2 + v**3 + 2*v**2. What is l(b(y))?
147*y**4
Let b(m) = -m. Let z(n) = 24*n - 17419217. Give b(z(v)).
-24*v + 17419217
Let u(l) = -9*l**2 - 45*l - 3. Let j(s) = 3*s**2 - 15*s - 1. Let q(w) = 6*j(w) - 2*u(w). Let n(z) = z**2. Calculate n(q(a)).
1296*a**4
Let t(h) = -1781*h - 65. Let n(l) = -81*l - 3. Let | {
"pile_set_name": "DM Mathematics"
} |
1)?
-3
Let f be (((-405)/(-25))/9)/((-16)/20 - -1). Let y(z) = -2*z**2 + 14*z + 17. Determine y(f).
-19
Let i(c) = -16*c - 230. Let b(y) = -17*y - 234. Let q(k) = 4*b(k) - 5*i(k). What is q(-18)?
-2
Let x(d) = 69*d**2 - d - 2. Let y(h) = 25*h**2 - 1. Let l(c) = 4*x(c) - 11*y(c). Suppose 2*k + 0*r = 4*r + 6, 0 = -4*r. Determine l(k).
0
Let o(m) = -7*m**2 + 27*m - 114. Let i(g) = 3*g**2 - 14*g + 45. Let r(b) = 5*i(b) + 2*o(b). Give r(16).
-3
Let f(c) = -1484*c - 336. Let q(a) = 31*a + 7. Let u(w) = -6*f(w) - 287*q(w). Determine u(-2).
-7
Let k(n) be the second derivative of 1/2*n**2 + 3*n - 18 + 5/3*n**3. Determine k(1).
11
Let c(m) = 22*m**2 - 21*m + 4320 - 4284 - 21*m**2 + 31*m. Calculate c(-7).
15
Let u = -6759 - -6771. Let v(p) = 16*p - 189. What is v(u)?
3
Let z(o) = 16*o + 84. Suppose 55*f - 1464 = -1794. Give z(f).
-12
Let n(h) = -h**2 + 137*h + 286. Let a be n(-2). Let k(v) = v - 42. What is k(a)?
-34
Let h(g) = 7 - g - 2*g - 8 - g**2. Let b(d) = 3*d**2 + 10*d + 3. Let v(q) = 3*b(q) + 8*h(q). Let i be v(-6). Let z(u) = 4*u**2 - u + 1. Give z(i).
4
Let f(l) be the second derivative of -l**4/12 - 5*l**3/6 + 7*l**2/2 - 6*l - 37. Give f(-7).
-7
Suppose 0 = -4*i - 3*w - 32, 0 = 29*i - 28*i + w + 7. Let m(r) = 6 - 3*r + 11*r**2 + 2*r + r**3 + 3*r. What is m(i)?
-16
Let v(q) = 195352 - 5*q**2 + 8*q + 2*q - 195380 + 17*q. Give v(1).
-6
Let t(j) = -3*j**3 - 24*j**2 - 12*j - 13. Let f(r) = 2*r**3 + 14*r**2 + 6*r + 6. Let v(l) = 5*f(l) + 3*t(l). Calculate v(4).
-1
Let g(r) = -5*r + 2. Let h = -3359 - -3350. Give g(h).
47
Let x(q) be the third derivative of 1/12*q**5 - 1/2*q**3 + 0 + 0*q - 188*q**2 + 1/120*q**6 + 1/24*q**4. Calculate x(-5).
-8
Let o be ((-9)/(-15) - 1)/((-4)/(-20)). Let q = 11 - 8. Let f(u) = -q*u + u - u + 2*u. Calculate f(o).
2
Let z be (47 + 5)*(-51)/(-12). Let x(u) = 69*u**2 + 77*u**2 + 11 - z*u**2 + 76*u**2 + 9*u. Give x(-7).
-3
Let l(b) = -b + 1. Let q = -22 + 18. Let x(y) be the first derivative of -3*y**2/2 + 11*y + 65. Let i(k) = q*l(k) + x(k). Calculate i(-5).
2
Let s be 2/((-4)/(-2)) - -7. Let u(g) = -s*g**2 + 0*g - g**3 - 22*g + 23*g + 5. Give u(-8).
-3
Let f = 21 - 14. Let b(g) = -5*g - 28. Let n be b(-6). Let u(k) = 1 + k**n - 1 + 0 - 6*k - 3. What is u(f)?
4
Suppose -4*g - 787 = 4*c - 7*g, 757 = -4*c - 3*g. Let z = c - -182. Let t(s) = -s**3 - 11*s**2 - 3. What is t(z)?
-3
Let z(a) = 2*a - 8. Let r be (2 + 1 - 1/(-7))/((-20)/(-70)). Determine z(r).
14
Let r(w) = w - 1. Let l(k) = 2*k - 1. Let o be -1 - -7 - (1 + 4). Let h(s) = o*r(s) + 2*l(s). What is h(6)?
27
Let t(d) = -4308 + 2153 + 2154 - 2*d**3. Suppose 0 = s - 4*m + 11, s + 4*s + 3*m = 14. Let b(v) = -v**2. Let z be b(s). What is t(z)?
1
Let m(b) = b**2 - b + 18. Let y = -175 + 179. Let o be 2/(2 - 0)*(-6 + 9). Suppose 0*x = o*v + 5*x, -x = y*v. Determine m(v).
18
Let h(t) = -9*t + 13. Let n(m) = 7*m - 12. Let y(j) = 4*h(j) + 5*n(j). Suppose 2*l - 2*d = -l - 29, 2*l - 5*d + 34 = 0. Calculate y(l).
-1
Suppose -89*f - 37*f - 659 = -911. Let c(w) = 87*w - 172. Give c(f).
2
Let m be (1 - 5) + 22 + -3. Suppose m*k - 10*k = 5*b + 50, -3*k = -5*b - 42. Let t(d) be the first derivative of d**2/2 + 6*d - 1. What is t(b)?
0
Let b(m) = -254*m + 20 - 250*m - 248*m + 755*m. Give b(-4).
8
Let m = 116491 - 116488. Let h(n) be the first derivative of 3*n**2/2 - 5*n - 1. Calculate h(m).
4
Let q = 214 + -189. Let p(j) = -j**2 + 27*j - 63. Determine p(q).
-13
Suppose 5*a - 9 - 16 = -2*s, 0 = 3*a - 3*s + 6. Let t(l) = -7*l**2 + 2 + 2 + a*l**3 + 5 - 2*l**3 - 7*l. Let u(g) = g**2 - 2*g - 16. Let j be u(6). Give t(j).
17
Let z(a) = 256 - 14*a - 186 - 482 - 529. Calculate z(-67).
-3
Let c(s) = 30*s - 93. Let w be c(3). Suppose 3 = -3*z + 21. Let d(q) = z*q + 2*q + 4 - 4*q. Determine d(w).
-8
Let v(y) be the first derivative of -y**4/4 + 8*y**3/3 - 5*y**2 - 10*y + 916. Give v(6).
2
Let n(u) = 10*u**3 - 2*u**2 + 1. Let s(d) = 39*d**3 - 8*d**2 + 4. Let w(r) = 9*n(r) - 2*s(r). Let g = -207 + 208. What is w(g)?
11
Let h(p) = 21*p + 6. Let v(x) = 2*x. Let s(d) = -3*h(d) + 30*v(d). What is s(-4)?
-6
Let c(q) = q**3 + q**2 + q. Let f = -3646 + 3645. What is c(f)?
-1
Let k(g) = 15*g - 77. Let c(z) = 44*z - 210. Let h(m) = 3*c(m) - 10*k(m). What is h(7)?
14
Let r be -2 + (-3 - -6) + -7. Let f be r/(-4) - (-12)/24. Let c(q) = -q**3 + 2*q**2 + 3*q - q + 0*q. Calculate c(f).
4
Let c(i) = 14*i + 62. Suppose 50*u = 45*u - 20. Let v be c(u). Let r(q) = 0*q + q - 4 - 3. Determine r(v).
-1
Let u(k) = k**3 - 16*k**2 - 17*k - 8. Suppose -38 = -2*y - i, -11*y + 71 = -8*y + 5*i. What is u(y)?
-8
Let z(i) = -2*i**2 + 8*i - 12. Let r(j) = -152*j + 1979. Let q be r(13). What is z(q)?
-6
Let v = -1 - -1. Let f(l) be the third derivative of l**6/120 - l**5/60 + l**4/24 - 4*l**3/3 - 3*l**2 - 604. Calculate f(v).
-8
Let t(c) = 11*c - 76. Let g(o) = 32*o - 217. Let p(k) = -6*g(k) + 17*t(k). Give p(3).
-5
Let n(p) = -2*p**2 + 13*p - 9. Let s be n(3). Let b(a) = a - 10 - 1 + 9. Give b(s).
10
Let j(k) = k + 13. Suppose -2*p + 5*p + 45 = -2*m, p = 3*m + 40. Let d be (0 - 6/m)*(-60)/(-2). Let q be 12*(-8)/d + (2 - 1). Give j(q).
6
Let a(h) = -21*h**3 + 47*h**3 - 27*h**3. Let f = -3 - -3. Suppose f = -3*w - 2 + 5. Calculate a(w).
-1
Let m = 144 - 322. Let q = -125 - m. Let i = q - 58. Let d(k) = -3*k - 5. Determine d(i).
10
Suppose -5*n + 87 = 5*l + 32, -15*n + 75 = 0. Let g(w) = w + 1. Let r(i) = i. Let z(x) = -2*g(x) + 3*r(x). Give z(l).
4
Let x = 9 + 2. Let h(z) = -605236 - 10*z + 2*z**2 - z**2 + 605230. Determine h(x).
5
Let j(x) = 8*x - 1. Let k = -47 + 19. Let n = -24 - k. Suppose 5 + n = -9*p. Calculate j(p).
-9
Let u(o) = 27*o**2 + 9*o. Let c(b) = b**2 - 2*b. Let q(y) = 4*c(y) + u(y). Let r be (-14)/(-12) - (-3)/(-18). Give q(r).
32
Let p = 322 - 311. Let h(c) = 18*c - 1 - p*c + 20*c - 2*c. Give h(1).
24
Let d(b) = b**2 + 6*b + 4. Let g(t) = t**2 + t - 4. Let f be g(-3). Let s(z) = 49*z - 37*z + 0 - z**3 - 6 + 11*z**f. Let v be s(12). What is d(v)?
4
Let n(t) = -t**3 - 7*t**2 + 4*t + 3. Let x(k) = k**3 + 11*k**2 - 6*k - 2. Let g(i) = 4*n(i) + 3*x(i). Let s be ((-3)/(-3))/(1/5). Determine g(s).
-4
Let x(h) = -h**3 + 20*h**2 - 36*h - 9. Let o be x(18). Let w(a) = 3*a**2 - 5*a + 2. Let i(b) = 13*b**2 - 19*b + 10. Let v(y) = o*w(y) + 2*i(y). Calculate v(8).
-6
Let o(a) = -a**2 - 9*a + 101. Let t(v) = -v + 12. Let s(k) = 2*o(k) - 17*t(k). Calculate s(-1).
-3
Suppose -3*f = 2*f - 40. Let t be (4/(-8)*-6 - -2) + 0. Let w(x) = 3*x + 21. Let z(i) = -2*i - 14. Let s(d) = f*z(d) + t*w(d). What is s(-5)?
-2
Let l(y) = y - 3. Let u be 82/5 + -4*(-4)/(-40). Suppose -x + 6*x = -h + u, 4*x = -5*h - 4. Let i(w) = w**3 - 2*w**2 - 7*w + 4. Let r be i(x). Give l(r).
5
Suppose 5*g = 3*x - 58, 0 = -5*g - 178 + 138. Let h(y) = y**3 - 4*y**2 - 3*y - 17. Determine h(x).
37
Let b(t) = t + 8. Suppose 3*i - 160 = i - 3*j, 2*i + 2*j = 164. Suppose -u - i = -6*u + 2*h, -2*u = -2*h - 32. Let m be u/(-45) + 48/(-5). Calculate b(m).
-2
Let j(l) = l - 2. Suppose -3*d - 623 = -626. Suppose 12 = 4*y - 4*g, -5*y - 5*g + 2*g - d = 0. What is j(y)?
-1
Let l = 2677 - 2677. Let c(g) = -2*g**2 - 4*g - 2. Calculate c(l).
-2
Let t(x) = x**2 - 30*x + 35. Let i be t(28). Let j be i/6*(-16)/28. Let k(f) = f - 1. Let q(y) = 7*y - 5. Let a(w) = 6*k(w) - q(w). Give a(j).
-3
Let k(y) be the first derivative of y**4/4 - 2*y**3 - 4*y**2 + 2*y - 129. Suppose 0 = -s + 15 - 1. Let c be (21 - 23)*s/(-4). Determine k(c).
-5
Let c(x) = -3948 + 3919 + x**2 - 8*x + 4*x. Give c(9).
16
Let t(r) = 17*r + 252. Let n(j) = 52*j + 745. Let v(y) = -3*n(y) + 8*t(y). What is v(-11)?
1
Let w(z) = z + 17 + 14 + 26 - 53. Let p = 4 - 2. Suppose -p*d = -3*d - 7. What is w(d)?
-3
Let r(x) = x**3 + 2*x**2 - x + 7. Let y be ((-6)/(-5))/((-16)/28*(-28)/(-40)). Determine r(y).
1
Let x(j) = 9*j + 1. Suppose 25*q = 22*q - 462. Let v = q + 152. What is x(v)?
-17
Let d(h) = 21*h**2 + 524*h - 29. Let n be d(-25). Let k(a) = -34*a - 133. Give k(n).
3
Let i(p) be the third derivative of p**5/60 + p**3/3 + 9*p**2. Suppose -12 - 91 - 11 = -38*l. Give i(l).
11
Let u(p) = 2*p - 12. Suppose 5*t - 7 = -12. Let w(n) = -4. Let s(a) = t*u(a) + 6*w(a). Determine s(-11).
10
Suppose 5*g = -2*d - 173, 17 = -d - 5*g - 82. Let q = -888 - -817. Let u = d - q. Let k(l) = -l**3 - 5*l**2 - 3*l + 1. Calculate k(u) | {
"pile_set_name": "DM Mathematics"
} |
f 10777?
13, 829
What are the prime factors of 1130?
2, 5, 113
List the prime factors of 12939.
3, 19, 227
What are the prime factors of 20282?
2, 10141
List the prime factors of 1743.
3, 7, 83
What are the prime factors of 1759?
1759
List the prime factors of 15549.
3, 71, 73
What are the prime factors of 6964?
2, 1741
What are the prime factors of 1289?
1289
List the prime factors of 2088.
2, 3, 29
What are the prime factors of 59211?
3, 17, 43
List the prime factors of 102683.
7, 14669
List the prime factors of 136025.
5, 5441
List the prime factors of 8934.
2, 3, 1489
List the prime factors of 742.
2, 7, 53
List the prime factors of 2472.
2, 3, 103
List the prime factors of 15087.
3, 47, 107
What are the prime factors of 565?
5, 113
What are the prime factors of 1959?
3, 653
List the prime factors of 129347.
129347
List the prime factors of 578.
2, 17
What are the prime factors of 17235?
3, 5, 383
What are the prime factors of 91388?
2, 11, 31, 67
List the prime factors of 18936.
2, 3, 263
What are the prime factors of 119196?
2, 3, 7, 11, 43
What are the prime factors of 16134?
2, 3, 2689
List the prime factors of 2458.
2, 1229
What are the prime factors of 6790?
2, 5, 7, 97
List the prime factors of 10889.
10889
List the prime factors of 7771.
19, 409
What are the prime factors of 18508?
2, 7, 661
What are the prime factors of 91904?
2, 359
List the prime factors of 10143.
3, 7, 23
What are the prime factors of 983?
983
What are the prime factors of 3561?
3, 1187
What are the prime factors of 1286?
2, 643
List the prime factors of 14057.
14057
What are the prime factors of 413?
7, 59
What are the prime factors of 2282?
2, 7, 163
List the prime factors of 87278.
2, 17, 151
What are the prime factors of 77268?
2, 3, 47, 137
What are the prime factors of 5242?
2, 2621
List the prime factors of 525.
3, 5, 7
What are the prime factors of 44842?
2, 7, 3203
What are the prime factors of 1079?
13, 83
What are the prime factors of 43465?
5, 8693
What are the prime factors of 24249?
3, 59, 137
What are the prime factors of 1052?
2, 263
List the prime factors of 501.
3, 167
What are the prime factors of 34256?
2, 2141
What are the prime factors of 2124?
2, 3, 59
List the prime factors of 4.
2
What are the prime factors of 3376?
2, 211
List the prime factors of 1774.
2, 887
List the prime factors of 27519.
3, 9173
List the prime factors of 2174.
2, 1087
What are the prime factors of 23177?
7, 11, 43
What are the prime factors of 1635?
3, 5, 109
List the prime factors of 4821.
3, 1607
What are the prime factors of 59221?
59221
List the prime factors of 13168.
2, 823
List the prime factors of 2647.
2647
What are the prime factors of 57452?
2, 53, 271
List the prime factors of 1226.
2, 613
List the prime factors of 21965.
5, 23, 191
What are the prime factors of 24940?
2, 5, 29, 43
What are the prime factors of 45197?
45197
List the prime factors of 8883.
3, 7, 47
List the prime factors of 1311.
3, 19, 23
List the prime factors of 39523.
11, 3593
What are the prime factors of 32859?
3, 1217
What are the prime factors of 2101?
11, 191
What are the prime factors of 90996?
2, 3, 7583
What are the prime factors of 6157?
47, 131
What are the prime factors of 1159?
19, 61
What are the prime factors of 3352?
2, 419
What are the prime factors of 1479?
3, 17, 29
List the prime factors of 4061.
31, 131
List the prime factors of 9122.
2, 4561
What are the prime factors of 767?
13, 59
List the prime factors of 12896.
2, 13, 31
What are the prime factors of 15425?
5, 617
List the prime factors of 93.
3, 31
What are the prime factors of 787?
787
List the prime factors of 69790.
2, 5, 7, 997
What are the prime factors of 23534?
2, 7, 41
What are the prime factors of 2138?
2, 1069
List the prime factors of 51257.
51257
List the prime factors of 15777.
3, 1753
What are the prime factors of 1749?
3, 11, 53
What are the prime factors of 1307?
1307
List the prime factors of 8770.
2, 5, 877
List the prime factors of 10929.
3, 3643
What are the prime factors of 21?
3, 7
What are the prime factors of 298?
2, 149
What are the prime factors of 8042?
2, 4021
List the prime factors of 1970.
2, 5, 197
What are the prime factors of 20454?
2, 3, 7, 487
List the prime factors of 24285.
3, 5, 1619
List the prime factors of 2843.
2843
List the prime factors of 365.
5, 73
What are the prime factors of 26738?
2, 29, 461
What are the prime factors of 1939?
7, 277
List the prime factors of 46698.
2, 3, 43, 181
List the prime factors of 79224.
2, 3, 3301
What are the prime factors of 6663?
3, 2221
What are the prime factors of 2031?
3, 677
List the prime factors of 1650.
2, 3, 5, 11
What are the prime factors of 450?
2, 3, 5
What are the prime factors of 4953?
3, 13, 127
List the prime factors of 14662.
2, 7331
What are the prime factors of 317?
317
List the prime factors of 3826.
2, 1913
List the prime factors of 5253.
3, 17, 103
What are the prime factors of 650?
2, 5, 13
List the prime factors of 5237.
5237
What are the prime factors of 21122?
2, 59, 179
What are the prime factors of 1850?
2, 5, 37
List the prime factors of 1368.
2, 3, 19
What are the prime factors of 1409?
1409
List the prime factors of 40716.
2, 3, 13, 29
List the prime factors of 4349.
4349
List the prime factors of 1287.
3, 11, 13
List the prime factors of 2371.
2371
What are the prime factors of 1614?
2, 3, 269
List the prime factors of 128.
2
What are the prime factors of 1602?
2, 3, 89
List the prime factors of 110217.
3, 36739
List the prime factors of 554.
2, 277
List the prime factors of 15949.
41, 389
List the prime factors of 150836.
2, 7, 5387
List the prime factors of 1061.
1061
What are the prime factors of 75891?
3, 41, 617
What are the prime factors of 1362?
2, 3, 227
List the prime factors of 25509.
3, 11, 773
What are the prime factors of 41959?
41959
What are the prime factors of 4370?
2, 5, 19, 23
List the prime factors of 9.
3
List the prime factors of 2220.
2, 3, 5, 37
What are the prime factors of 9614?
2, 11, 19, 23
What are the prime factors of 32409?
3, 13, 277
List the prime factors of 4800.
2, 3, 5
What are the prime factors of 1695?
3, 5, 113
What are the prime factors of 1782?
2, 3, 11
List the prime factors of 24961.
109, 229
List the prime factors of 4616.
2, 577
What are the prime factors of 1298?
2, 11, 59
What are the prime factors of 598?
2, 13, 23
List the prime factors of 2199.
3, 733
What are the prime factors of 2085?
3, 5, 139
What are the prime factors of 934?
2, 467
List the prime factors of 79.
79
What are the prime factors of 462?
2, 3, 7, 11
What are the prime factors of 101533?
101533
List the prime factors of 1959.
3, 653
List the prime factors of 8590.
2, 5, 859
What are the prime factors of 25995?
3, 5, 1733
List the prime factors of 29482.
2, 14741
List the prime factors of 13966.
2, 6983
List the prime factors of 61817.
7, 8831
What are the prime factors of 301?
7, 43
List the prime factors of 20693.
20693
List the prime factors of 86252.
2, 21563
List the prime factors of 14986.
2, 59, 127
List the prime factors of 1565.
5, 313
List the prime factors of 1504.
2, 47
What are the prime factors of 46266?
2, 3, 11, 701
What are the prime factors of 17344?
2, 271
List the prime factors of 1475.
5, 59
List the prime factors of 3193.
31, 103
What are the prime factors of 2167?
11, 197
List the prime factors of 135137.
337, 401
What are the prime factors of 2720?
2, 5, 17
What are the prime factors of 11532?
2, 3, 31
List the prime factors of 23262.
2, 3, 3877
List the prime factors of 6855.
3, 5, 457
What are the prime factors of 18140?
2, 5, 907
What are the prime factors of 16372?
2, 4093
List the prime factors of 7916.
2, 1979
List the prime factors of 655.
5, 131
List the prime factors of 833.
7, 17
List the prime factors of 36544.
2, 571
What are the prime factors of 12512?
2, 17, 23
What are the prime factors of 3168?
2, 3, 11
What are the prime factors of 1770?
2, 3, 5, 59
List the prime factors of 3781.
19, 199
List the prime factors of 21547.
29, 743
What are the prime factors of 908?
2, 227
What are the prime factors of 583?
11, 53
List the prime factors of 527.
17, 31
List the prime factors of 94.
2, 47
What are the prime factors of 488?
2, 61
List the prime | {
"pile_set_name": "DM Mathematics"
} |
rivative of -a**4/12 + 11*a + 6. Let t(i) be the first derivative of m(i). Let r(s) = 7*s**2. Calculate r(t(k)).
7*k**4
Let c(g) = -7*g. Let u(m) = -21*m + 2816. Determine u(c(j)).
147*j + 2816
Let h(y) = -y - 4. Let s(i) = -i - 9. Let r(d) = 9*h(d) - 4*s(d). Let a(q) = 5*q + 0*q - 2*q. Give a(r(p)).
-15*p
Let n(h) = -2*h**2. Let j(v) = 210611*v**2. Calculate n(j(k)).
-88713986642*k**4
Let z(q) = 67*q + 25. Let m(p) = -16*p - 6. Let w(f) = -25*m(f) - 6*z(f). Let h(b) = 119*b. Determine h(w(j)).
-238*j
Let w(c) = -98*c**2. Let q(r) = 20*r + 25*r + 22*r - 68*r. Calculate w(q(x)).
-98*x**2
Let f(a) = -19*a**2. Let h(d) = 2364*d. Determine h(f(q)).
-44916*q**2
Let v(t) = 4*t - 3*t - 3*t. Let y(h) be the first derivative of 12*h**2 + 567. Give v(y(p)).
-48*p
Let c(s) = -44*s + 6. Let o(w) = -11*w**2 + 26*w**2 - 14*w**2 - 3*w**2. Determine o(c(t)).
-3872*t**2 + 1056*t - 72
Let m(g) be the second derivative of 7*g**3/3 + 475*g. Let x(f) = 14*f. Calculate m(x(z)).
196*z
Let r(o) = o**2. Let j(m) = -2*m - 2. Let s(t) = 6*t + 25. Let a(k) = 2*j(k) + s(k). Give r(a(v)).
4*v**2 + 84*v + 441
Let a(i) = -7110*i - 4*i**2 + 0*i**2 + 7110*i + 5*i**2. Let g(x) = 554*x**2. What is a(g(r))?
306916*r**4
Let m(q) = -4*q. Let i(d) = -d**2 - 101*d. Determine i(m(z)).
-16*z**2 + 404*z
Let t(m) = -9357 + 9*m**2 + 9357. Let j(l) = 4*l. Determine t(j(v)).
144*v**2
Let s = 5 - -6. Let z(y) = s - 2*y**2 + 6*y**2 - 11. Let v(p) = p - 5. Let k(u) = u - 3. Let n(x) = 5*k(x) - 3*v(x). What is n(z(q))?
8*q**2
Let y(v) = v**2. Let l(f) be the first derivative of 0*f - 38/3*f**3 + 0*f**2 - 35. Calculate l(y(u)).
-38*u**4
Let x(c) = -214*c**2. Let l(u) = 2*u**2 + u. Let d(w) = 12*w**2 + 5*w. Let t(v) = -d(v) + 5*l(v). Calculate x(t(k)).
-856*k**4
Let b(a) = -3*a**2 + 92*a. Let j(c) = -12*c**2. Determine b(j(o)).
-432*o**4 - 1104*o**2
Let u(l) = -2*l. Let k(s) = -129*s**2 + 157*s. What is u(k(a))?
258*a**2 - 314*a
Let p(i) = 22*i + i + 12*i. Let l(r) be the third derivative of -r**6/360 + 11*r**3/2 + 34*r**2. Let g(t) be the first derivative of l(t). Calculate p(g(k)).
-35*k**2
Let f(t) = -3*t. Let q(w) = 4*w**2 - 10*w. Let k(a) = a**2 - 3*a. Let o(b) = -20*k(b) + 6*q(b). Give o(f(g)).
36*g**2
Let g(k) = -96*k. Let y(l) = 23698*l. Give y(g(f)).
-2275008*f
Let j(b) = 3*b**2 - 68. Let k(m) = -m**2 + 24. Let y(a) = 6*j(a) + 17*k(a). Let i(c) = 20*c**2. Calculate i(y(s)).
20*s**4
Let p(g) = g**2. Let u(y) be the second derivative of -185*y**4/12 + 9*y - 19. Give u(p(a)).
-185*a**4
Let r(i) = -120*i**2. Let u(q) = 438*q**2. Determine r(u(y)).
-23021280*y**4
Let m(o) be the first derivative of 0 - 2 - o**3 + 1 + 5. Let y(q) = 6*q**2. Let f(x) = -2*x**2. Let a(u) = 17*f(u) + 6*y(u). Determine m(a(b)).
-12*b**4
Let j(g) = 16*g**2 + 16*g - 17. Let o be j(-7). Let r(q) = -655 + 2*q + o. Let h(b) = 5*b - 5. Determine h(r(u)).
10*u - 5
Let x(t) be the first derivative of 2*t**3 + 1. Let a(j) = -j**2 - 14*j - 6. Let s be a(-7). Let u(b) = -43*b + s*b - b**2. Determine u(x(m)).
-36*m**4
Let q(y) = 727*y - 7. Let r(a) = a. Give q(r(p)).
727*p - 7
Let d(y) = 562*y**2 + 6. Let p(v) = -3*v. Calculate p(d(t)).
-1686*t**2 - 18
Let m(x) = -3*x. Let v(j) = j**2 + 1. Let b(q) = -18*q**2 - 7. Let f(y) = 2*b(y) + 14*v(y). Give m(f(c)).
66*c**2
Let j(r) = -1047*r - 9. Let f(l) = 7326*l + 66. Let u(q) = -3*f(q) - 22*j(q). Let t(z) = z. Determine t(u(w)).
1056*w
Let t(b) = -b**3 - 3*b**2 + 5*b - 4. Let x be t(2). Let d(u) = 4*u - 7. Let g(z) = -z + 2. Let k(c) = x*g(c) - 4*d(c). Let o(a) = -8*a. Calculate k(o(y)).
16*y
Let r(j) = -144*j. Let t(d) = -5*d**2 - 4*d + 4. Let q(b) = 11*b**2 + 9*b - 9. Let m(h) = -4*q(h) - 9*t(h). Give m(r(k)).
20736*k**2
Let j(a) = -a. Let w be -1*(-42)/7 - 1. Let l(z) be the first derivative of 0*z - 3/2*z**2 - w. Calculate j(l(s)).
3*s
Let k(l) = -3*l**2. Let m(x) = x + 1. Let z be (1/3)/((-2)/(-6)). Let o(q) = q + 153*q**2 + 2*q - 155*q**2 + 3. Let f(g) = z*o(g) - 3*m(g). Calculate f(k(r)).
-18*r**4
Let c(v) be the second derivative of 13*v**3/6 - 36*v. Let i(a) = 7*a**2. What is i(c(h))?
1183*h**2
Let t(c) = -1461*c. Let m(b) = -71*b**2 + 2. Determine t(m(f)).
103731*f**2 - 2922
Let v(o) = 4590 - 4590 - 3*o**2. Let f(q) = 36*q**2. Calculate f(v(j)).
324*j**4
Let f(w) = 9*w**2 - 2. Let r(m) = -2573*m. Calculate r(f(g)).
-23157*g**2 + 5146
Let w(d) = 704*d**2 + 47*d. Let f(j) = -j. What is f(w(x))?
-704*x**2 - 47*x
Let d(t) = -8*t. Let g(o) = -282650*o. What is g(d(r))?
2261200*r
Let m(p) = -2077*p. Let j(x) = 9*x. What is j(m(c))?
-18693*c
Let y(i) = -5*i. Let t(o) = o. Let j be (0 - (-12)/(-4))*1. Let h(d) = j*y(d) - 3*t(d). Let q(c) = -3*c**2. Give q(h(u)).
-432*u**2
Let f(r) = -13*r**2. Let j(l) be the second derivative of l**4/6 + 13*l**2 - 9*l. Let z(o) be the first derivative of j(o). What is f(z(m))?
-208*m**2
Let v(m) = 470*m + 473*m - 1420*m + 475*m. Let o(i) be the third derivative of -7*i**4/12 + 3*i**2. What is v(o(b))?
28*b
Let r(b) = -121*b + 1. Let m(a) be the third derivative of -3*a**5/20 - a**2 - 475. Calculate r(m(s)).
1089*s**2 + 1
Let y(z) = -2*z. Let s(r) = -5*r - 12. Let h be s(-6). Let u(p) = 2 - 16*p**2 + h*p**2 - 2. Give u(y(n)).
8*n**2
Let f(n) = 4*n**2. Let o(v) be the second derivative of v**3/2 - 4*v**2 - 7*v. Give o(f(p)).
12*p**2 - 8
Let b(q) = -q. Let j be (-3)/(-15) - 42/(-15). Let d(w) = -4*w. Let l(t) = j*d(t) - 14*b(t). Let p(r) = 19 - 19 - 3*r. Give l(p(s)).
-6*s
Let z(j) be the second derivative of 13*j**4/12 - j**3 + 660*j. Let m(h) = -h**2. Give m(z(y)).
-169*y**4 + 156*y**3 - 36*y**2
Let y(u) = u + 9 + 0*u - 9. Let z be (8/10)/(2/5). Let c(s) = 32 - z*s - 32. What is c(y(j))?
-2*j
Let t(l) = -126*l**2. Let o(y) = -347*y - 11. Calculate o(t(d)).
43722*d**2 - 11
Let m(z) = 0 + 9*z - 12*z + 0. Let a(p) be the first derivative of -p**5/60 - 2*p**3/3 - 2. Let q(w) be the third derivative of a(w). Calculate q(m(t)).
6*t
Let m(b) = -13*b**2. Let d(w) = -3540*w. Determine m(d(g)).
-162910800*g**2
Let h(j) be the first derivative of -5 + 0*j**2 + 1/24*j**5 + 0*j**4 + j**3 + 0*j. Let m(k) be the third derivative of h(k). Let x(n) = 3*n. Calculate x(m(q)).
15*q
Let a(l) be the first derivative of 24 + 1/2*l**2 + 0*l. Let q(s) = -4*s. Give q(a(p)).
-4*p
Let b(x) be the first derivative of -5*x**2 + 3 + 4*x**2 + 8 - 5*x**2. Let u(a) = -3*a**2. Determine b(u(j)).
36*j**2
Let w(g) = g**2. Let f = 18 + -12. Let p(a) = -5*a - f*a - 5*a + 15*a. Determine w(p(c)).
c**2
Let i(n) = 11*n + 4*n - 36*n + 9*n + 11*n. Let v(z) = -6*z + 7. Calculate i(v(h)).
6*h - 7
Let l(q) = -187*q. Let h(c) = -32194*c**2. What is h(l(s))?
-1125791986*s**2
Let j(z) = -5*z**2 - 10*z + 5. Let i(f) = 28*f**2 + 48*f - 24. Let b(a) = 5*i(a) + 24*j(a). Let p(d) = 18*d**2. Calculate p(b(r)).
7200*r**4
Let v(u) = -u**2 - 2. Let r(c) = -4*c**2 - 6. Let k(f) = -2*r(f) + 6*v(f). Let j(m) = 133*m**2. Determine k(j(z)).
35378*z**4
Let h(t) = 3*t. Let f(w) be the second derivative of 0*w**3 + 0*w**2 - 5/6*w**4 + 0 + 15*w. Calculate h(f(c)).
-30*c**2
Let q(s) = -s**2. Suppose 17*a = 9*a + 64. Let p(o) = 6*o - a*o - 5*o. What is q(p(k))?
-49*k**2
Let u(l) be the first derivative of 2*l**3/3 - 61. Let r(m) = -16*m**2. Calculate u(r(w)).
512*w**4
Let d(k) = 5274*k + 1. Let v(f) = -2*f**2. Calculate v(d(q)).
-55630152*q**2 - 21096*q - 2
Let a(v) be the second derivative of -2*v**3/3 + v + 5. Let i(t) = -85*t. Give a(i(g)).
340*g
Let r(g) = -5*g - 52. Let d(f) = -f - 13. Let l(o) = 9*d(o) - 2*r(o). Let s(v) = -v**2. Give s(l(x)).
-x**2 + 26*x - 169
Let j(v) = v**2 - 2*v + 2. Let l(h) = 2*h**2 - 5*h + 5. Let z(k) = 5*j(k) - 2*l(k). Let w(g) = -21*g**2. Determine w(z(b)).
-21*b**4
Let j(z) = -41*z**2. Let t(i) = 7*i + i - 8*i - 4*i**2. Calculate t(j(a)).
-6724*a**4
Let q(o) = -2*o. Let l(v) = -v**2 + 10 - 13 - 2*v**2 - 37. Determine l(q(g)).
-12*g**2 - 40
Let n(m) = 6564*m - 1. Let l(a) = -2*a. Determine l(n(d)).
-13128*d + 2
Let q(t) = 48*t**2 + 26*t**2 - 175*t**2 + 38*t**2 - 205*t**2. Let w(a) = -2*a. Give w(q(l)).
536*l**2
Let g = -6 - -11. Let q(o) = g*o**2 - 4*o**2 + 6*o**2. Let d(v) be the third derivative of v**5/30 + 481*v**2. Give d(q(h)).
98*h**4
Let u(a) = 14*a**2. Let s(n) = -2196*n**2 - n. Calculate s(u(l)).
-430416*l**4 - 14*l**2
Let t(h) = h. Let n(i) = 424*i + 20. Let g(z) = -14 | {
"pile_set_name": "DM Mathematics"
} |
+ 9*x**4 - 24 + 24 to q*x**4 + g*x + v*x**2 + l*x**3 + b and give q.
10
Express 4*t**2 + 18*t**2 + 31*t**2 + 87*t**2 in the form y*t**2 + j + k*t and give y.
140
Express (1 - 1 + b)*(7 + 7 + 5)*(0*b**2 + 0*b**2 + b**2) in the form d + r*b**3 + q*b + c*b**2 and give r.
19
Express -6 - 54*n**2 + 29 + 53*n**2 - 2*n**4 as r + j*n**4 + y*n**2 + f*n + c*n**3 and give r.
23
Express 19*j + 1 + j + 45*j in the form d + b*j and give b.
65
Express -3*p**2 - 60 + 60 - 13*p**3 + 3*p**3 in the form o*p + q*p**3 + u + n*p**2 and give q.
-10
Express 0*y + y + 69 + 95 - 221 as j + b*y and give b.
1
Express (25 + 8*d**3 - 25)*(-11 + 11 - d + (4 + 2 - 4)*(5 - 5 + 2*d)) as i*d**3 + k*d**2 + m + f*d**4 + l*d and give f.
24
Express u + 2*u + 2*u - 2*u as v + n*u and give v.
0
Rearrange (-2*r + r + 0*r)*(-5 + 3 + 3)*(-43*r**2 - 54*r**2 + 10*r**2) to the form h + g*r**2 + d*r**3 + f*r and give d.
87
Rearrange (4*o + o - 3*o)*((-3 + 4 + 1)*(1 + 0 - 2) - 3 - 2 + 4) - 3*o + 1 - 1 + (o + 3 - 3)*(-4 + 1 + 1) to the form r*o + f and give r.
-11
Rearrange -1 + 1 - 2*d + (3*d - 2*d + 0*d)*(2 - 3 - 2) to w + t*d and give t.
-5
Rearrange -36*r + 33*r + 2*r**4 + 0*r**2 + 2*r**2 + 2*r**4 + 3*r**3 to the form b + c*r + v*r**4 + m*r**3 + u*r**2 and give v.
4
Rearrange 2*i**2 + i + 10*i**2 - i to k*i**2 + a + n*i and give k.
12
Express 5*y**4 + 0*y**4 + 10*y**4 + (-2*y + 2*y - 2*y**3)*(2 - 2*y - 2) + y - y + y**4 as n*y**2 + z + p*y**4 + v*y**3 + b*y and give p.
20
Express (1 - 2 + 2 - 15*x)*(-4 - 1 + 1) as p*x + t and give t.
-4
Rearrange -2 - w + 2*w**3 - 4*w**3 - 3*w**3 + w**3 to the form k*w + d*w**3 + p*w**2 + v and give d.
-4
Rearrange -y + 6*y + 0*y + (y - y + 2*y)*(-6 + 4 + 3) to the form f*y + p and give f.
7
Rearrange -3*m + 2*m - 3*m**2 + m to p + r*m**2 + y*m and give r.
-3
Rearrange -13*b + 1 + 2*b**3 + 8*b + 0 + 3 to the form g*b + k*b**3 + r + p*b**2 and give r.
4
Express 3 - 3*x**2 + 9*x**3 + 3*x - 1 - 3*x in the form v*x + d + r*x**2 + q*x**3 and give r.
-3
Express 0*u - 53*u**2 - u + 19*u**2 in the form l*u**2 + a + s*u and give s.
-1
Rearrange (5*w**2 + 0*w**2 - 3*w**2)*(39*w - 70*w + 30*w + 91) to the form z + h*w + n*w**2 + p*w**3 and give z.
0
Express a - 4*a + a + (0*a + 0*a - 2*a)*(-6 + 3 - 9) in the form j*a + o and give j.
22
Express -4*z + 18*z + 1 - 1 as h + j*z and give j.
14
Express (-4*z + 4*z + z)*(2 - 3 + 0 + 3 - 5 + 3 + (-2 + 0 + 3)*(2 - 3 - 1) + 2 + 0 - 1) in the form i*z + y and give i.
-1
Express (0 + 0 + 2*b + 6*b - b + b + (-2*b + 5 - 5)*(-3 + 1 + 1))*(0*b**3 + 0*b**3 + 2*b**3) in the form c*b**3 + l + v*b**4 + k*b**2 + q*b and give v.
20
Rearrange (2*s - 6*s - 7*s)*(-5 + 1 + 0) - s - 1 + 1 + (-s + 1 - 1)*(-1 - 2 + 1) + 4*s - s - 2*s to the form h + n*s and give n.
46
Rearrange 3*o + 0*o + 137 - 139 to w*o + p and give w.
3
Express (2*l**2 + 3 - 3)*(-1 - l**2 + 1) - 104*l**4 - 81*l**4 + 68*l**4 in the form u*l**3 + n*l + v*l**2 + a + p*l**4 and give a.
0
Express 4*y - 3*y - 2*y**2 + y + y as f*y**2 + x + n*y and give n.
3
Rearrange (0*r - 7*r + 2*r)*(-1 - 16*r + 7*r - 2) to k*r**2 + z*r + j and give z.
15
Express -3*b + 4*b + 11*b**2 - 2*b - 4*b**2 + 2 as a + z*b + j*b**2 and give z.
-1
Rearrange -112*s + 4*s**3 - s**3 + 2*s**2 + 109*s to the form b + w*s + d*s**2 + o*s**3 and give d.
2
Express 3 - n**2 - 23*n + n**2 - 4*n**3 + 24*n + n**4 as k*n + w + l*n**3 + p*n**2 + m*n**4 and give k.
1
Express 139*i + 26 - 54 + 28 as j + k*i and give k.
139
Express -2*o**3 - 3*o**3 + o**3 + 0*o + 1 - 2*o**2 + 7*o as i*o**3 + v*o**2 + w*o + t and give v.
-2
Express (6 - 4 - r - 1)*(0 + 0 + 2)*(0 + 0 + r) as p + b*r**2 + m*r and give b.
-2
Rearrange (-s - 73 + 73)*(-s**2 - 2*s**2 + s**2) to the form q*s**2 + o*s**3 + u*s + j and give o.
2
Rearrange (-f**2 + 0*f + 0*f)*(4 - 5 - 2)*(-2 + 3 + 0)*((3 + 1 - 5)*(-4 + 4 + 1) + 1 - 3 - 3) to the form i + k*f**2 + d*f and give k.
-18
Express 4*v - 2*v**3 - 2*v**4 + 0*v**4 + 0*v**4 + 4*v**3 in the form c + y*v**2 + r*v + q*v**3 + n*v**4 and give n.
-2
Rearrange (3 - 2 + 3)*(-3*q + 4*q + 2*q) + 0*q + 0*q + q + q - q - q + (2*q - 6*q + 2*q)*(2 - 4 + 4) to the form u + o*q and give o.
8
Express (2*c + 2*c - 3*c)*(0 + c + 0) + 3*c**2 + 3*c - 3*c + 3736*c - 95*c**2 - 3736*c in the form p*c + d + q*c**2 and give q.
-91
Express (-31*t + 25*t - 11*t)*(0*t + 0*t + 2*t**3) + 2 + t**4 - 2 as u*t + z*t**3 + i*t**2 + q + y*t**4 and give z.
0
Express 247*s - 247*s - 11*s**3 + 0*s**3 - 2*s**2 as d*s + g*s**2 + f + a*s**3 and give a.
-11
Express v - v + 2*v + (-2 + 1 + 2)*(-5*v + 5 + 7*v - 9) in the form g + a*v and give a.
4
Express -2 - 9*w + 3*w + 2 in the form l*w + a and give l.
-6
Express -3 - 3*x - x**2 - 10*x**4 + x + 7*x**4 in the form f + v*x + c*x**4 + y*x**2 + m*x**3 and give f.
-3
Express -13*g - 70*g - 17*g - 45*g in the form o*g + n and give n.
0
Rearrange (-t + 0*t + 0*t)*(-7 + 2 + 4 - 3*t) to the form p*t**2 + a + g*t and give a.
0
Express (2*w + 0*w - 4*w)*(7*w**3 + 59*w**3 - 10*w**3) in the form d*w**2 + p*w**3 + o + k*w**4 + l*w and give k.
-112
Express -6*c**2 + 0*c**3 - c**3 + 2*c**2 - 1 + 0*c**2 as s*c + y*c**3 + z + q*c**2 and give z.
-1
Express 3*g**3 - 2*g - 9*g**3 - 3*g**3 + 4*g - 2*g**4 as h + v*g**4 + r*g**3 + o*g**2 + z*g and give v.
-2
Rearrange 66*r + 0 + 0 - 70*r to the form d*r + u and give d.
-4
Express -r - 227*r**2 + r**3 - 7*r + 227*r**2 as p + m*r**2 + y*r + b*r**3 and give m.
0
Express (7 + 15*k - 4 - 16*k)*(-4 + 1 + 1)*(-1 + 1 + 1) in the form z*k + q and give z.
2
Express -2*r + r + 2*r - 4 + 4 - 2*r + (2*r + 1 - 1)*(1 + 3 - 6) + (-10*r + 20*r - 8*r)*(0 - 1 + 2) in the form p*r + t and give p.
-3
Rearrange (-2 + 0 - 2)*(5 - 6 - 1)*(3*h - 3*h + 2 + 2*h) to the form a + w*h and give w.
16
Express -3*m - 2*m + 3*m + (26 + 11*m - 26)*(0 - 1 - 2)*(-5 + 5 - 4) + 4*m - 3*m + m in the form a + f*m and give f.
132
Express 2*g**3 + 2*g**3 + 2 - 4*g**3 + 3*g**3 as s + v*g + p*g**2 + l*g**3 and give s.
2
Express 0*f**2 + 7 - 7 + 2*f**2 in the form a*f**2 + z*f + i and give a.
2
Rearrange -73 + 23 + 1125*o**2 - 1123*o**2 to j*o + w + i*o**2 and give i.
2
Express -47*i**3 + 9*i + 3*i - 13*i in the form a*i + p + z*i**2 + o*i**3 and give a.
-1
Express (4*h + h - 4*h)*(h + h + 1 - 3*h) as m + k*h**2 + j*h and give j.
1
Express -8*p**2 + 3*p**2 + 4*p**2 + 10 in the form y*p**2 + c*p + g and give g.
10
Express (-225*t - 128*t - 173*t)*(0*t**2 - t**2 + 2*t**2) in the form y*t**3 + g*t**2 + a + u*t and give y.
-526
Rearrange 4*s**4 - 3 - 2*s**3 - 3 + 1 + 6 to the form f*s**3 + n*s + u*s**2 + b*s**4 + o and give o.
1
Rearrange 7*c**2 - 5*c**3 - 4*c - 13*c**2 + 4*c to a*c**3 + o*c + p + k*c**2 and give a.
-5
Rearrange (0 + 2*q + 0)*(0 + 4 + 1) + (3*q - q - 3*q)*(3 + 1 + 1) to n*q + l and give n.
5
Rearrange -578*w + 4 + 531*w - 4 to the form v*w + b and give b.
0
Express -4*s**3 - 10 + 8 + 5 in the form k*s**2 + o + u*s**3 + x*s and give o.
3
Rearrange (4 + 0 - 1)*(-3*z**3 + 2*z**3 + 3*z**3) + (z**3 - 2*z**3 + 2*z**3)*(0 + 0 - 2) to the form w*z**2 + h + y*z + t*z**3 and give w.
0
Rearrange 25*u - 124 + 124 to the form v + t*u and give t.
25
Express -9*p**2 + 12 + 6 - 18 as t*p**2 + d + v*p and give t.
-9
Express (-384*t - 37*t**2 + 384*t)*(-5 + 5 - 2*t) in the form m + a*t**2 + q*t**3 + c*t and give q.
74
Express 8*a**3 + 11*a + 24*a**2 - 10*a - 21*a**2 in the form o*a**3 + l*a**2 + j + n*a and give l.
3
Express 2*p**3 + 2 - 2*p - 12*p**4 + 11*p**4 + 0*p**4 + 5*p**2 - 3*p**2 as g*p**3 + s*p**2 + i*p + r + n*p**4 and give i.
-2
Rearrange 3522*f**3 - 3520*f**3 + 20*f - 1 + 0 to w*f**3 + r + y*f**2 + j*f and give r.
-1
Rearrange 13*q**2 + 4 - 3 - 12*q**2 - q**4 + 1 + q**3 to p + u*q**4 + z*q**3 + y*q + s*q**2 and give p.
2
Express 1 - 1 - 20*p in the form n + v*p and give v.
-20
Rearrange -1 - 2*q + 1 + (0 - 2 - 5)*(2*q + 2*q - 5*q) + 3*q - 3*q + q to o + k*q and give k.
6
Rearrange 2*r - 2*r + 274*r**2 - 278*r**2 to the form u*r**2 + x + p*r and give p.
0
Rearrange 4 - 4 + 18*z**2 to k + g*z + w*z**2 and give w.
18
Rearrange 4*p**2 + 2*p - 13*p**3 + 0*p - 2*p**2 to o*p**3 + g*p + n*p**2 + a and give a.
0
Rearrange (3*m - 3*m - 2*m**2)*(66*m - 66*m + 2*m**2) to u + c*m**4 + h*m**3 + d*m + s*m**2 and give c.
-4
Express -17*p + 17*p + 13*p + 28*p in the form o*p + d and give o.
41
Rearrange 10*m**2 + 5*m**2 - 9 | {
"pile_set_name": "DM Mathematics"
} |
*p + 39, -26 = 2*o + 2*p for o.
-13
Solve -643*z + 644*z = -j + 11, -5*j = -4*z + 17 for z.
8
Solve 5*j + 25 = 10*b, -130 = -2*b - j - 135 for b.
0
Solve 0*h - 22 = 2*h + 64*c - 68*c, 0 = 5*c - 15 for h.
-5
Solve -2*d + 15 = -5*q, -176*q = -180*q + d - 12 for q.
-3
Solve 8 = o + 3*k, 5*k = 479*o - 476*o - 10 for o.
5
Solve q + 3 = -w, 35*w - 9 = 37*w + q for w.
-6
Solve -4*i = 20, -4*h - 31*i - 14 = -33*i for h.
-6
Solve 7*x - 115 = -2*r - 90, r = -2*x + 8 for r.
2
Solve 0 = -4*k + 353*d - 350*d - 20, 25 = -5*k - 3*d for k.
-5
Solve 1964*r - 1965*r = -3*j + 22, 5*j = -13*r + 110 for j.
9
Solve 4 = 4*b + 4*k, 25*b - 26*b = -k - 1 for b.
1
Solve 5*m - 10 - 28 = 2*c, -c = 4 for m.
6
Solve 28*x = -j + 25*x + 4, 5*j - 6 = -x for j.
1
Solve 3*w - 5*h = 10, -1307*w = -1298*w - 3*h + 30 for w.
-5
Solve -3*p + 28*l - 33*l = 16, -3*p + 34 = -5*l for p.
3
Solve 0 = 4*t + 15*u - 18*u - 4, -3 = -3*t + 4*u for t.
1
Solve -3*z = 3*l + 15, 5*z + 36*l - 38*l + 11 = 0 for z.
-3
Solve 14 = -0*h - 7*h, -h - 50 + 25 = 5*k - 53 for k.
6
Solve -2*b - 5*j = -74, j - 660 + 641 = b for b.
-3
Solve -4 - 1 = -3*l - u + 4, 3*l + 4*u = 0 for l.
4
Solve c - b - 1 = 0, 23*c + 28*b = 18*c + 5 for c.
1
Solve 5*r + d = -717 + 730, -3*r + 4*d - 6 = 0 for r.
2
Solve 4*c - 29 = z, -11*c + 15 = -9*c - z for c.
7
Solve 20 = 2*f - 4*x + 22, 61 = 5*f + 12*x for f.
5
Solve -5*i = -3*w - 7, -2214*i + 2218*i = 4*w + 4 for w.
1
Solve -k = -v + 54 - 59, 4*k + 5*v - 11 = 0 for k.
4
Solve 4 + 4 = 4*x, 4131*x = -4*s + 4132*x + 14 for s.
4
Solve -4*f + 1 = -4*z - 0*f - 3, -2*z = -4*f + 14 for z.
5
Solve -4*p - 90*k - 2 = -89*k, 0*k - 6 = 4*p + 3*k for p.
0
Solve 4*x - 20 = 0, 5*n - 9*n + 5*x = 37 for n.
-3
Solve 3*m + 30 = -5*f, 13 - 1 = -2*f for m.
0
Solve 4 = -872*k + 873*k + 4*g, g = -2*k - 6 for k.
-4
Solve 818*t - 814*t + 3*v = -5, 2*v + 2 = -3*t for t.
4
Solve 4*f = -4*n, 4*n - 365*f + 368*f - 5 = 0 for n.
5
Solve 4*m + 31 - 19 = 0, -69*p + 2*m = -71*p - 8 for p.
-1
Solve 2*f - 28 = 31*h - 35*h, 5*h - 33 = -2*f for h.
5
Solve 4*b = -4*u + 48, 10*u = 3*b - 590 + 736 for u.
14
Solve 2*m = -5*u - 189, -4678*u + 66 = -4680*u + 4*m for u.
-37
Solve 0 = -3*a - 2*s + 25, 3*s + 1561 = 2*a + 1566 for a.
5
Solve -18*p = 2*a + 92, 303*a = 302*a - 5*p - 26 for a.
-1
Solve 2*r + 32 = y + 4*y, -15 = -3*r - 3*y for r.
-1
Solve 20 = -10*o + 3*o + 3*o, -k = -2*o - 9 for k.
-1
Solve 9*z + 45 = 5*a, -9*z - 2*a - 10 = -7*z for z.
-5
Solve 4*i + 12 = -6*z - 52, 5*i + 69 = -2*z for z.
-2
Solve 15*c + 2 = 14*c, 3*c = -k - c - 7 for k.
1
Solve -2*y - 40 = 4*x, 9*x - 5*x - 10 = 3*y for y.
-10
Solve 2*y - 6 - 2 = 0, -3*y - 143 + 103 = 4*j for j.
-13
Solve 9 = 3*z - 11*k, -2*z + 6 = -0*z + k for z.
3
Solve 0 = f - 283*g + 285*g - 13, 25 = -5*f + 41*g - 36*g for f.
1
Solve 5*q + 3*o = -2, 14 = -3*q - 9*o + 4*o for q.
2
Solve 0 = 2*y - z + 4, -3*y + 4*z - 236 + 225 = 0 for y.
-1
Solve 4*k + 18 - 10 = -y, 7*k = -2*y - 14 for k.
-2
Solve s = 315*r - 309*r - 13, -2*s + 3*r = 8 for s.
-1
Solve 4*i = -21*x + 20*x + 47, -i = x - 11 for i.
12
Solve -5*w + t + 5621 = 5643, 4*t - 12 = w for w.
-4
Solve -b + 21 = 3*b + 5*v, 4*v = 4*b + 6 + 18 for b.
-1
Solve -5*k + 5*r - 29595 = -29630, 3*r = 4*k - 33 for k.
12
Solve 5*w = -3*r - 1, -5*r = -9*r + 2*w + 16 for r.
3
Solve n - 7*n - 24 = -2*z, 4*z = 3*z for n.
-4
Solve 4*d = -4*f + 16, 0 = 67*f - 63*f + 2*d - 6 for f.
-1
Solve 7*a - 3*j + 16 = 2*a, 50*j - 48*j + 21 = -3*a for a.
-5
Solve -2*x = -r + 5, -29*x + 3*r - 6 = -26*x for x.
-3
Solve 3*l + 68*k = 69*k - 13, -2*k + 24 = 10 for l.
-2
Solve -466 = -3*q + 4*x - 437, 13*q + x = 144 for q.
11
Solve i - 2*g = 18, -1 = 3*i - 4*g - 41 for i.
4
Solve 0 = -g - x + 13, -4*x + 947 - 892 = 5*g for g.
3
Solve -4*n - 20 = -z, -4*z + 32 = -19*n + 15*n for n.
-4
Solve -4*o + 50*g - 74 = 51*g, 3*o + 55 = -g for o.
-19
Solve 0 = -2*r + k + 12, 0 = -34*r + 42*r - 6*k - 52 for r.
5
Solve 12*g + 2*y = 152, -3*g - 5 + 29 = -3*y for g.
12
Solve -3*l - 791 = 3*s - 764, s + 2*l = -11 for s.
-7
Solve -28*f + 115 = -3*t, 66*f + 5*t + 17 = 69*f for f.
4
Solve -18 = -5*f - 4*z, -2358*z = -5*f - 2354*z + 2 for f.
2
Solve 80*h - 77*h - 101 = 49*k, 2*k + h = -3 for k.
-2
Solve 0 = 5*u + 4*c + 14, 0 = -4*u + 4*c + 15 + 17 for u.
2
Solve 6 = 4*k + 6*a, 0*a + 1 = a - 2 for k.
-3
Solve -22*o = 3*f - 21*o + 32, 2*o + 96 = -14*f for f.
-4
Solve 0 = 3*u + 127*n - 123*n + 36, 4*u = 3*n - 73 for u.
-16
Solve k = -3*k + 4, -3*u - 25 = -64*k + 42*k for u.
-1
Solve 4*y = -16, 360*i + 3*y = 362*i - 10 for i.
-1
Solve 7 = 3*n + 5*m, -482*n - 52 = -486*n + 4*m for n.
9
Solve 6509*u - 6 = 6514*u - 3*b, -22*u = -b + 63 for u.
-3
Solve -5*y = -p + 29, -p + 38 = -4*y + 14 for p.
4
Solve -4*j - 7 = 5*n, 3*n - 2*j + 10 = n for n.
-3
Solve -2*a - 14 = 5*c, -54*c = -49*c + 4*a + 18 for c.
-2
Solve x = r - 15, x - 155 + 176 = -5*r for r.
-1
Solve -1148*f + 1147*f - 5*v = -13, -f = 22*v - 47 for f.
3
Solve -3 = 3*p - 3*s, 1069*p - 12 = 1073*p + 4*s for p.
-2
Solve 50 = -5*g + 5*b, -323*g + 321*g = 5*b - 78 for g.
4
Solve -3*x + 5*s + 48 = 0, 44 = -x - 2195*s + 2190*s for x.
1
Solve 3*s - 2*q = 30, -11542*s + 11540*s - 8*q - 64 = 0 for s.
4
Solve 0*j + 16 = -3*c - 5*j, 6*c = -j - 56 + 42 for c.
-2
Solve -2*c - 3*h + 2 = 0, 461*c - 2*h - 29 = 458*c for c.
7
Solve -687 = 3*k + 3*r - 684, 8 = -2*r for k.
3
Solve -551*q = -3*i - 549*q + 14, -i = -q - 6 for i.
2
Solve -4*x - 3*v = -12, -99 = x + 5*v - 119 for x.
0
Solve 0 = -4*n + 8*f - 7*f - 7, -4*n - 4 = -4*f for n.
-2
Solve -400*j + 396*j - 24 = 4*g, j = 5*g for j.
-5
Solve p + d = -32, 96*d + 89 = -7*p + 94*d for p.
-5
Solve -5*i + 460*r = 462*r - 4, 0 = -i + 2*r - 28 for i.
-4
Solve -12*k + 7*k + 3*o = -5, 0 = -k + 2*o + 1 for k.
1
Solve -2*o + 50 = 863*z - 857*z, -2*o = -20 for z.
5
Solve -4*i = 24488*j - 24491*j - 21, 2*j + 12 = 2*i for j.
-3
Solve 0 = -3*s - 72, -22*d + 25*d = -4*s - 102 for d.
-2
Solve 426*h - 2*a - 8 = 424*h, 0 = -h + 3*a + 2 for h.
5
Solve -5*i - 4*v = 44 - 36, -47*i + 3*v = 197 for i.
-4
Solve 22 = -5*h + 7*k, 0 = 35*h - 33*h - 3*k + 9 for h.
-3
Solve -5*g - 3*b = 37, g + 39*b - 61 = 42*b for g.
4
Solve -3*y = 3*m - 30 + 21, -3*y - 7*m + 17 = 0 for y.
1
Solve -4*q = -8, -34*g + 32*g = -5*q - 4 for g.
7
Solve -43 = 3*h + 140*a - 136*a, 0 = -2*h + 4*a + 18 for h.
-5
Solve g + 376 = -5*u + 448, 0 = -5*g + 6*u - 105 for g.
-3
Solve 5*k - 44*j + 39*j - 25 = 0, 5*j + 7 = -k for k.
3
Solve 2*g = -2*p - 16, 0 = p - 4*g + 77 - 69 for p.
-8
Solve 3*s + 33 = 5*n, -5*s + 151*n - 152*n + 29 = 0 for s.
4
Solve 4*d + 30803 - 30819 = 0, 3*s - 87 = -3*d for s.
25
Solve 3*q + 13 = 1, 25*q = 4*v - 124 for v.
6
Solve 2*h - 26 = -2*i, 20*i = -5*h + 17*i + 49 for h.
5
Solve j + 346*a = 347*a + 7, -10 = -5*a for j.
9
Solve 5*y - 75 = 4*f - 94, -11*y = -3*f + 7 for y.
1
Solve 9*j + 5*k - 27 = 0, -3080*j = -3086*j - k + 18 for j.
3
Solve 4*g = -b + 5, -455*g = -457*g + 17*b + 55 for g.
2
Solve -10*p - 35 = -5*y, -5*p + 2*p + 5*y - 7 = 0 for p.
-4
Solve 15 = -5*d, 3*v + 24 = -24*d + 26*d for v.
-10
Solve 1001*d - 12 = -4*o + 1005*d, 2*o = -3*d + 1 for o.
2
Solve 0*c - 2*c = 3*i + 2, 5*i - 111 = -5*c - 111 for c.
2
Solve -7*q = -6*q, -5*x + 46 = 6*q - q + 16 for x.
6
Solve -3*r - 4*b + 1183 = 1210, -b - 23 = 4*r for r.
-5
Solve 2*g = -3*w + 4, 0 = 2*w - g - 1 + 3 for w.
0
Solve -29*b + 4*p = -25*b + 16, 4*b = -2*p - 10 for b.
-3
Solve -4*j = -4*d, 53*j - 29*j + 2 = 25*j - 3*d - 2 for j.
-2
Solve 0 = 12*w - 4*k - 48, 350*w + 2*k + 18 = 354*w for w.
3
Solve -3*o - 1634*k + 1639*k = -15, -o - k = -5*k - 19 for o.
-5
Solve 2756*i - 2755*i - 36 = 40*q, 4*q = 4*i + 12 for q.
-1
Solve -2*l = 9358*o - 9361*o - 19, l = -3*o - 4 for l.
5
Solve -16*d - 4*q - 16 = 0, 3*d + 4*q + 0*q = -16 for d.
0
Solve 115*d - 118*d = w - 4, 0 = -5*d for w.
4
Solve 6*u - 5*g + 1 = 0, 0 = 3*u - g - 2*g for u.
-1
Solve 5*t - 40 = 5*f, -93*t + 92*t + 4*f = -17 for t.
5
Solve 4*v + 68*t = 70*t + 18, 9 = v - 5*t for v.
4
Solve 2*s + 4*m + 8 = -2*s, 578 = 4*s - 7*m + 542 for s.
2
Solve -3*v + 9*p - 7*p - 2 = 0, -5*p - 18 = 4*v for v.
-2
Solve 5*z + d - 4395 + 4382 = 0, 3*d = 5*z - 21 for z.
3
Solve 2*o + 4*b - 34 = 0, o = -5*b - 946 + 960 for o.
19
Solve x + 43*l + 40*l + 6 = 81*l, -3*x = -l - 10 for x.
2
Solve -20 = -5*b - 3*x, 6*b - 5*b - x - 4 = 0 for b.
4
S | {
"pile_set_name": "DM Mathematics"
} |
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