 in 1/4*m**3 + 0 + 0*m + 0*m**2 + q*m**4 = 0?
-1, 0
Suppose 11 = 2*q + 3. Let z(b) = -10*b**4 - 4*b**3 + 6*b**2. Let v(y) = -51*y**4 - 21*y**3 + 30*y**2. Let c(s) = q*v(s) - 22*z(s). Solve c(m) = 0 for m.
-1, 0, 3/4
Suppose -174193*u + 174171*u = -66. Solve 0 + 1/4*t**4 - 1/4*t - 1/4*t**2 + 1/4*t**u = 0 for t.
-1, 0, 1
Let y(h) be the first derivative of -10*h - 35/6*h**3 - 23/2*h**2 + 1/24*h**6 + 1/10*h**5 - 17/16*h**4 - 43. Factor y(s).
(s - 5)*(s + 1)*(s + 2)**3/4
Suppose -3*k = -9, 5*z + 2*k - 5*k = 3591. Let r be (0 + (-1)/3)*z/(-1200). Factor -1/5*s**2 - r*s + 2/5.
-(s - 1)*(s + 2)/5
Suppose 5*q - 71 = 39. Suppose 25 = k + q. What is x in 0*x**3 - 4*x**5 + 3*x**3 - 8*x**k + x**3 - 8*x**4 = 0?
-1, 0
Let r(a) = 6*a**2 + 49*a + 51. Let y be r(-7). Let u(d) be the second derivative of -d - 1/18*d**3 - 1/30*d**5 + 1/3*d**y - 5/36*d**4 + 0. Factor u(s).
-(s + 1)*(s + 2)*(2*s - 1)/3
Let g be 45 + -36 + 13/(455/(-294)). Suppose 0 = -2*h + 1 + 3. Determine c so that g*c - 2/5 - 1/5*c**h = 0.
1, 2
Let t = 2934/31 + -25910/279. Determine l so that 64/9 + 52/9*l**2 - t*l**4 + 2/9*l**5 - 128/9*l + 26/9*l**3 = 0.
-2, 1, 4
Let i be 20/4 - 0/(-4). Let r(x) = -x. Let l(s) = 5*s**2 + 45*s + 60. Let p(k) = i*r(k) + l(k). Suppose p(d) = 0. Calculate d.
-6, -2
Let h(b) be the second derivative of -b**5/110 - 146*b**4/33 - 637*b**3 + 43218*b**2/11 + b - 353. Determine l so that h(l) = 0.
-147, 2
Let u(b) be the third derivative of -19*b**2 + 0*b - 1/16*b**4 + 0 - 1/240*b**5 + 2/3*b**3. Let u(j) = 0. What is j?
-8, 2
Let r(f) be the first derivative of -5*f**4/4 + 160*f**3/3 - 1345*f**2/2 + 1190*f - 806. Factor r(k).
-5*(k - 17)*(k - 14)*(k - 1)
Let g(i) = -8*i**4 + 60*i**3 - 236*i**2 + 424*i - 240. Let v(o) = -41*o**4 + 301*o**3 - 1179*o**2 + 2122*o - 1196. Let l(w) = -21*g(w) + 4*v(w). Factor l(m).
4*(m - 8)*(m - 2)**3
Let n be -4*(-4)/(-16)*-864. Suppose -5*q**5 + 10*q**3 + 864*q**2 - 5*q - n*q**2 = 0. What is q?
-1, 0, 1
Solve 17*h**4 - 81*h**2 - h**5 - 3*h**4 - 6*h - 49*h**3 + 6*h + 117*h**2 = 0 for h.
0, 1, 4, 9
Let x = -50 - -56. Let h = 38 + x. Determine m, given that 312*m + 36 - 179*m**3 - 132*m**3 + 621*m**2 + h*m**3 + 24*m**3 = 0.
-2/9, 3
Let z(h) be the first derivative of 148*h**2 + 4*h**3 + 84*h + 44 - 18 - 20*h**2 - 15. Let z(a) = 0. Calculate a.
-21, -1/3
Let g(j) be the second derivative of -j**8/1680 - 4*j**7/315 + j**6/20 - 6*j**4 - 41*j. Let d(w) be the third derivative of g(w). Suppose d(i) = 0. Calculate i.
-9, 0, 1
Let y = 135 + -127. Determine k, given that -y*k**3 + 80*k + 17*k**3 - 16*k + 28*k**2 - 256 - 7*k**3 = 0.
-8, 2
Factor 0*i - 17826*i**2 + 17937*i**2 + 0*i - 3*i**3.
-3*i**2*(i - 37)
Let t(y) be the second derivative of y**5/80 - 16*y**4/3 + 509*y**3/24 - 127*y**2/4 + 11105*y. Find d such that t(d) = 0.
1, 254
Let s(y) = 1306*y**2 - 6*y - 6. Let x be s(-7). Suppose x = 10*a + 21680. Suppose a - 10*i - 4235 - 5*i**3 + 15*i**2 = 0. Calculate i.
0, 1, 2
Let b = 36971 - 36968. Let a(q) be the first derivative of 48/7*q + 12/7*q**2 + 1/7*q**b - 49. Let a(i) = 0. What is i?
-4
Let g(n) = -n**2 + 1. Let k(c) = 12*c**2 + 232*c - 10. Let l(m) = -10*g(m) - k(m). Factor l(p).
-2*p*(p + 116)
Suppose 10*c - 13*c = -27. Determine r so that -r - 17*r**2 - 4*r + 2*r**2 + c + 1 = 0.
-1, 2/3
Let a(y) be the third derivative of -21*y**2 + 1/150*y**5 + 1/24*y**4 - 1/1800*y**6 + 0*y + 3/2*y**3 + 0. Let r(p) be the first derivative of a(p). Factor r(i).
-(i - 5)*(i + 1)/5
Let -24/13 + 12/13*z**2 - 2/13*z**3 - 10/13*z = 0. Calculate z.
-1, 3, 4
Suppose -577 + 557 = 5*m. Let b be ((-12)/m - 2) + (11 - 10). Solve 2/3*a**4 + 0*a - b*a**2 - 4/3*a**3 + 0 = 0.
-1, 0, 3
Let h(f) be the first derivative of -5/3*f**3 - 2420*f + 110*f**2 - 1. Let h(g) = 0. What is g?
22
Let n be (-10)/(-4)*316/2765*(-42)/(-15). Determine b so that -4/5 + n*b - 1/5*b**2 = 0.
2
Let k(f) be the second derivative of -f**6/15 - f**5/10 + 28*f**4/3 - 48*f**3 + 6281*f. Factor k(z).
-2*z*(z - 4)**2*(z + 9)
Suppose 5016 = 288*a - 2218 - 2270. Factor -363/2 - a*h - 3/2*h**2.
-3*(h + 11)**2/2
Factor 25*l**2 - 914 + 457 - 16*l + 457 - 10*l + l**3.
l*(l - 1)*(l + 26)
Let h(d) be the second derivative of -49/20*d**2 + 7/30*d**3 - 1/120*d**4 + 0 + 31*d. Find w, given that h(w) = 0.
7
Let h = 61 - 11. Let t be (-172)/(-14) - 68/238. Suppose -2*a - t - 273*a**3 - 133*a**4 - 161*a**4 + h*a + 81*a**2 = 0. Calculate a.
-1, -1/2, 2/7
Let d(v) be the third derivative of v**5/120 + 13*v**4/48 - 17*v**3/3 + 5211*v**2. Suppose d(t) = 0. Calculate t.
-17, 4
Let s(j) be the third derivative of 0 + 0*j**5 + 3/35*j**7 - 1/168*j**8 - 7/30*j**6 + 0*j**3 + 0*j + 237*j**2 + 0*j**4. Determine n, given that s(n) = 0.
0, 2, 7
Let g(k) be the second derivative of k**7/210 - 14*k**6/75 + 109*k**5/50 - 13*k**4/3 - 169*k**3/10 + 3694*k. Suppose g(p) = 0. What is p?
-1, 0, 3, 13
Let k(q) = 10*q**3 + 126*q**2 + 222*q + 64. Let n(h) = -2*h**3 - 25*h**2 - 44*h - 12. Let f(d) = -3*k(d) - 14*n(d). Factor f(u).
-2*(u + 1)**2*(u + 12)
Let t(f) be the second derivative of -f**4/12 + 4*f**3 - 72*f**2 - 1946*f. Determine r so that t(r) = 0.
12
Let u = 80 + -65. Suppose -5*n + p + 7 = -16, u = -5*p. Factor -f**2 + 0*f**2 - 3*f**n - f**2 + 8*f**2 - 3*f**3.
-3*f**2*(f - 1)*(f + 2)
Let w = -115 - -118. Factor 94*j**2 + 7*j**3 - 99*j**2 - 4*j**3 + 2*j**w.
5*j**2*(j - 1)
Let c(s) be the third derivative of -s**8/252 - 16*s**7/105 - 52*s**6/45 - 178*s**5/45 - 15*s**4/2 - 76*s**3/9 - 4*s**2 - 8. Solve c(a) = 0.
-19, -2, -1
Suppose 14463896*l**5 + 4553*l + 60*l**4 - 14463897*l**5 - 1047 + 1386*l**2 - 952*l**3 - 3999 = 0. What is l?
-2, 1, 3, 29
Let f(i) be the third derivative of i**5/15 - 4*i**4/3 - 130*i**3/3 + 7*i**2 - 17. Find u, given that f(u) = 0.
-5, 13
Let z be 6 + (6 - (3 + 4)). Suppose 49 - 39 = z*g. Factor 0 + 2/3*c - 1/6*c**g.
-c*(c - 4)/6
Let f(t) be the third derivative of t**5/30 + 1697*t**4/28 + 1454*t**3/21 - 127*t**2 - 1. Suppose f(r) = 0. Calculate r.
-727, -2/7
Let p be 12 + -4 - (-2 - -2). Suppose 0 = q + 3*d - p, -2*d = -q + 2*d - 6. Factor -3*x**q - 27 - 7*x - x - 10*x + 0*x.
-3*(x + 3)**2
Let i be -3 - (-1)/(-2)*(-23 + -15). Suppose -i*a = 9*a - 50. Factor 4*f**3 + 0 + f + 17/2*f**a.
f*(f + 2)*(8*f + 1)/2
Let c = -212 + 214. Factor 2*o**c - 39*o**2 - 22 + 30*o**2 + 79*o.
-(o - 11)*(7*o - 2)
Let r = 473/780 + -1/156. Let d = -119102 + 119102. Factor d + 3/5*c**2 - r*c.
3*c*(c - 1)/5
Let 76*w**4 - 4*w**5 - 219*w**2 + 653*w**2 - 1072*w**2 - 814*w**2 - 220*w**3 = 0. Calculate w.
-3, 0, 11
Let i(w) be the first derivative of w**4/2 + 4*w**3/3 - 7*w**2/2 + w + 87. Let r(l) = l**3 + 2*l**2 - 4*l + 1. Let y(o) = -3*i(o) + 5*r(o). Factor y(s).
-(s - 1)*(s + 1)*(s + 2)
Suppose 7 = -2*y + 2*d + 25, 0 = -2*y - 5*d + 39. Let k(g) = -5*g - 1. Let b be k(-3). Factor -38*h**2 - 2*h**3 + b*h**5 - 24*h - 8 + 16*h**2 - y*h**5 + 6*h**4.
2*(h - 2)*(h + 1)**3*(h + 2)
Let r(s) be the first derivative of 6*s**7/35 + 19*s**6/15 + 7*s**5/3 + s**4 - 107*s**2/2 + 42. Let v(m) be the second derivative of r(m). Factor v(y).
4*y*(y + 1)*(y + 3)*(9*y + 2)
Let i(o) be the third derivative of -o**5/510 - 329*o**4/51 - 432964*o**3/51 - 1822*o**2. Suppose i(j) = 0. Calculate j.
-658
Suppose -3/7*n**4 + 225/7*n**2 - 300/7*n - 1500/7 - 6/7*n**3 = 0. Calculate n.
-10, -2, 5
Suppose -41*s + 32 = -50. Suppose -6 - 10 = -4*n. Factor 8/7*r**3 - 4/7*r + 0*r**s + 0*r**n + 0 - 4/7*r**5.
-4*r*(r - 1)**2*(r + 1)**2/7
Factor -494/5*k**3 - 1014/5*k**2 - 2/5*k**5 + 0*k + 0 - 58/5*k**4.
-2*k**2*(k + 3)*(k + 13)**2/5
Let i(a) be the second derivative of -a**6/10 + 459*a**5/10 - 24013*a**4/4 + 46206*a**3 - 136806*a**2 - 204*a. Factor i(w).
-3*(w - 151)**2*(w - 2)**2
Let s(i) be the first derivative of -5*i**3/3 + 285*i**2/2 + 925. Factor s(w).
-5*w*(w - 57)
Let k(s) be the third derivative of -1/48*s**4 - 1/40*s**5 - 1/80*s**6 + 0*s**3 - 1/420*s**7 + 0 + s - 78*s**2. Solve k(n) = 0.
-1, 0
Suppose -4092*u + 4603*u = 1022. Factor 1/3*d**u + 1/3*d - 10.
(d - 5)*(d + 6)/3
Suppose 87*k + 103 + 71 = 0. Let q be (84 + -82)*k/(-22). Let 4/11*x**2 + 0 - q*x**3 + 0*x - 6/11*x**4 = 0. Calculate x.
-1, 0, 2/3
Let n(d) be the first derivative of d**6/165 + d**5/22 - 13*d**4/66 + 7*d**3/33 + 91*d - 75. Let i(o) be the first derivative of n(o). Factor i(u).
2*u*(u - 1)**2*