 -3/4, 1
Let m(i) = 2*i**2 + 230*i + 237*i - 477*i + 8. Let f(h) = -11*h - 4*h - 5*h + 4*h**2 + 16. Let z(v) = -2*f(v) + 5*m(v). Factor z(l).
2*(l - 4)*(l - 1)
Let j(o) = o**3 + 12*o**2 - 791*o - 7359. Let w be j(-9). Let 0*v**2 + 0 + 8/7*v**4 - 10/7*v**w + 2/7*v**5 + 0*v = 0. Calculate v.
-5, 0, 1
Let u(b) be the second derivative of -12/25*b**5 - 44/15*b**4 + 1/105*b**7 - 48/5*b**2 - 73*b - 112/15*b**3 + 0 + 1/75*b**6. Solve u(n) = 0 for n.
-2, -1, 6
Let z(s) be the first derivative of -22/21*s**3 - 26/7*s**2 + 72 + 1/14*s**4 + 0*s. Suppose z(f) = 0. Calculate f.
-2, 0, 13
Suppose 16*g = 29*g - 182. Suppose -80*t + 61 - 5*t**3 - 1 + 20*t**2 - 18*t**2 + g*t**2 + 19*t**2 = 0. What is t?
2, 3
Suppose 0 = -3*h + 3*v + 2229, -2*h - h - 5*v + 2229 = 0. Let q = -739 + h. Factor 2/3*w + 0 - 2/3*w**3 - 1/3*w**q + 1/3*w**2.
-w*(w - 1)*(w + 1)*(w + 2)/3
Let d be ((-28)/(-315))/((-12)/(-6) + 80/(-45)). Determine v so that 3/5*v**2 - d + 1/5*v - 1/5*v**3 - 1/5*v**4 = 0.
-2, -1, 1
Factor -71723 + 2040*w**2 + 77769 - 5*w**3 - 265370 - 160926 - 206025*w.
-5*(w - 205)**2*(w + 2)
What is n in 303/4*n**2 + 1155/2*n + 4719/4 + 3*n**3 = 0?
-11, -13/4
Let b(x) be the first derivative of 1/16*x**4 - 1/8*x**2 + 1/10*x**5 + 77 - 1/4*x**3 + 1/4*x. Determine l, given that b(l) = 0.
-1, 1/2, 1
Suppose 2*q = 7*r - 8, -3*r - 53*q = -57*q + 28. Factor -1/2*p**2 + 0 + p**r + 1/2*p**3 + 0*p.
p**2*(p + 1)*(2*p - 1)/2
Let f be 1844/144 + 3 + -8. Let n = f - 68/9. Factor -1/4 - 1/2*h - n*h**2.
-(h + 1)**2/4
Suppose 62/15*v**3 + 96/5 + 568/15*v - 2/15*v**4 + 344/15*v**2 = 0. What is v?
-2, -1, 36
Let q(l) = l**2 + 17*l + 33. Let h be q(-15). Let -12*b**2 - 88*b + 12*b**4 + 80*b + 0*b**3 + 4*b**h + 4*b**5 = 0. What is b?
-2, -1, 0, 1
Let m(d) be the first derivative of -d**8/15960 - d**7/2660 + d**5/285 + 2*d**3/3 + 16*d**2 + 51. Let o(y) be the third derivative of m(y). Factor o(x).
-2*x*(x - 1)*(x + 2)**2/19
Let -8*r**3 - 154019*r + 4*r**4 - 208*r**2 - 8*r**3 + 153699*r = 0. Calculate r.
-4, -2, 0, 10
Let y(a) be the first derivative of -a**3/7 + 51*a**2/7 + 216*a/7 + 2438. Suppose y(f) = 0. What is f?
-2, 36
Suppose 7*i = -7 + 28. Let z be (-16)/(-3)*i/1. Suppose -z - 3*l**4 + 22*l**4 - 8*l**4 + 12*l**2 - 9*l**4 + 10*l**3 - 8*l = 0. What is l?
-2, 1
Let w(s) be the third derivative of -s**5/100 - 21*s**4/10 + 261*s**3/10 + s**2 + 3918. Determine z, given that w(z) = 0.
-87, 3
Let m(f) be the first derivative of f**5/15 + 419*f**4/12 - 301. Find c, given that m(c) = 0.
-419, 0
Let a(p) be the second derivative of p**4/18 + 26*p**3/9 + 16*p**2 - 278*p - 1. What is u in a(u) = 0?
-24, -2
Factor -239*p**2 + 114*p**2 + 2304 + 285*p**3 - 287*p**3 + 83*p**2 - 672*p + 106*p**2.
-2*(p - 12)**2*(p - 8)
Let p(k) be the first derivative of -k**6/30 - 2*k**5/25 + k**4/10 + 8*k**3/15 + 7*k**2/10 + 2*k/5 + 183. Factor p(o).
-(o - 2)*(o + 1)**4/5
Let m(v) be the third derivative of 8/7*v**6 - 72/7*v**3 - 286/35*v**5 + 0*v - 5/98*v**7 + 1 + 96/7*v**4 - 7*v**2. Determine i, given that m(i) = 0.
2/5, 6
Suppose -13*q + 11602 = -8210. Let h = 4576/3 - q. Find p such that -4/3*p**2 + 4/3*p**4 - 4/3*p**5 + h*p**3 + 0*p + 0 = 0.
-1, 0, 1
Let r = 323/154 - 21/22. Let x(q) = 5208*q**2 - 5211*q + 7. Let c be x(1). Factor 16/7*u**2 - c*u + 16/7*u**3 + r.
4*(u + 2)*(2*u - 1)**2/7
Let f be (((-517629)/12)/(-7))/((-40)/(-64)). Let o = 9898 - f. What is n in -51/5*n**2 - 48*n - o - 3/5*n**3 = 0?
-8, -1
Let r = -87 + 90. Factor 8*c**3 - 6*c**3 - 10*c**2 + 8*c + 0*c**3 + 0*c**r.
2*c*(c - 4)*(c - 1)
Let o(m) be the first derivative of m**3/3 + 3*m**2 + 9*m + 61. Let t(i) = i**2. Let y(k) = o(k) - 4*t(k). Factor y(q).
-3*(q - 3)*(q + 1)
Let o be (-720)/(-88) - 3*6/99. Let 11*y**4 - 5*y**5 - 9*y**2 + o*y + y**4 + y**5 - 4*y**3 - 3*y**2 = 0. What is y?
-1, 0, 1, 2
Let y be (-27)/(-12) + -2 + (-3)/(-20). Let i be 16/9 - (11 + 505/(-45)). Find v such that 3/5 - 1/5*v**i - y*v = 0.
-3, 1
Let i be ((-945)/7)/(6/(-20)). Let m be 3/(-8) - i/(-400). What is y in 15/4*y - m*y**2 - 9/4 - 3/4*y**3 = 0?
-3, 1
Let h be 30 - -198*(-100)/675. Suppose -4*i - 14 = -p, -4*p - 5*i + 5 = -4*i. Factor -8/3*n + h*n**2 + p.
2*(n - 3)*(n - 1)/3
Let l(j) be the second derivative of 4/15*j**3 - 1/210*j**7 - 3/50*j**5 + 1/15*j**4 + 0*j**2 + 0 + 36*j - 1/30*j**6. Find r such that l(r) = 0.
-2, 0, 1
Suppose -9*o - o + 70 = 0. Suppose s - 40 = -o*s. Suppose -37*n**3 + 21*n**5 + 20*n**2 + 25*n**4 - 3*n**3 - 26*n**s = 0. Calculate n.
0, 1, 2
Let r(w) be the third derivative of w**6/105 - 145*w**5/42 + 901*w**4/84 - 60*w**3/7 + 46*w**2 - 25*w - 2. Solve r(y) = 0 for y.
1/4, 1, 180
Factor 744*d**2 + 89*d**3 + 34596*d - 95*d**3 + 10*d**3.
4*d*(d + 93)**2
Let f = 62 + -65. Let s(o) = o**3 + 4*o**2 + 4*o + 6. Let c be s(f). Determine g, given that -5*g**3 + c*g - 3*g - 10*g**2 + 10*g**4 - 5*g**4 = 0.
-1, 0, 2
Factor 63514*s + 1468*s**2 - 47665 + 70438*s + 4*s**3 - 87759.
4*(s - 1)*(s + 184)**2
Let q = 137 - 135. Suppose 5*h = -5*y - 13 + 48, 0 = -3*h + 5*y - 3. Factor -3/4*i**q - 1/2*i + 1/4*i**h + 0*i**3 + 0.
i*(i - 2)*(i + 1)**2/4
Let a(s) be the first derivative of s**5/10 + 31*s**4/8 + 253*s**3/6 + 165*s**2/4 - 225*s + 132. Factor a(w).
(w - 1)*(w + 2)*(w + 15)**2/2
Let r(j) = -j**3 + 36*j**2 + 64*j + 36. Let q(p) = -2*p**3 + 71*p**2 + 129*p + 63. Let v(c) = -4*q(c) + 7*r(c). Solve v(z) = 0.
-2, 0, 34
Suppose 25*o = 135 + 465. Let a be (4/3)/(2/3). Suppose o*i + 87*i**4 - 10*i**3 + 10*i**3 - 9 - 84*i**4 - 18*i**a = 0. What is i?
-3, 1
Suppose -j + 19 = -2*b - 3*b, -4*j + 19 = -b. Suppose -2*c + 112 = 102. Factor -23*f**4 - c*f - f + 9*f**2 + 20*f**j.
-3*f*(f - 1)**2*(f + 2)
Let -974*w**3 - 18400*w**2 - 576 + 43*w**3 + 367*w**3 - 242*w**5 - 1468*w**3 + 2332*w**4 - 6432*w = 0. Calculate w.
-2, -2/11, 6
Let z(s) be the third derivative of s**7/420 - 43*s**6/20 + 16641*s**5/20 - 715563*s**4/4 + 92307627*s**3/4 + 530*s**2. Determine m, given that z(m) = 0.
129
Let s(r) be the first derivative of -r**7/315 + r**6/90 - r**5/90 - 49*r**2 + 40. Let j(g) be the second derivative of s(g). Factor j(q).
-2*q**2*(q - 1)**2/3
Let m(r) = 6*r - 105. Let w be m(-23). Let g be w/10*20/(-12). Determine j, given that 243/2 - 1/6*j**3 - g*j + 9/2*j**2 = 0.
9
Let n = -91539 - -366209/4. Let -25/4*h**3 + 0 - 15/4*h + 3/4*h**4 + n*h**2 = 0. What is h?
0, 1/3, 3, 5
Determine p, given that 2/11*p**3 + 202/11 - 2/11*p - 202/11*p**2 = 0.
-1, 1, 101
Let b(y) = -2*y**2 - 7*y - 3*y + 9 - 5*y. Let w(v) = -10*v**2 - 76*v + 46. Suppose 1527*c - 869 = 1448*c. Let r(q) = c*b(q) - 2*w(q). Factor r(z).
-(z + 7)*(2*z - 1)
Let x = -19234 - -211760/11. Let k = x - 141/22. Determine y so that 3*y + 0 - k*y**2 + 9/2*y**3 = 0.
0, 1/3, 2
Let v(b) = b**5 + b**3 - b**2 + 3*b - 1. Let y(n) = 5*n**5 + 212*n**4 + 653*n**3 + 441*n**2 - 267*n - 255. Let g(c) = -2*v(c) - 2*y(c). What is i in g(i) = 0?
-32, -2, -1, 2/3
Let j = 1853/3714 + 2/1857. What is y in -1/4*y**5 + 1/2*y**3 + 1/2 + 2*y**2 - j*y**4 + 7/4*y = 0?
-1, 2
Let v(k) = -9*k**2 + 6*k - 6. Suppose 18*x = 7*x + 77. Let g(n) = -n**2 + 19*n - 25*n**2 + x - 24. Let s(c) = 6*g(c) - 17*v(c). Suppose s(l) = 0. Calculate l.
0, 4
Suppose 31668*r**3 + 54*r**2 - 31669*r**3 - 4 - 103 - 149*r - 97 = 0. Calculate r.
-1, 4, 51
Let z(n) be the first derivative of n**6/15 + 642*n**5/25 + 34347*n**4/10 + 2450086*n**3/15 + 19. Find p such that z(p) = 0.
-107, 0
Let f(v) be the second derivative of -v**10/10080 + v**9/2520 + 9*v**4/2 + v**2 + 5*v. Let h(r) be the third derivative of f(r). Let h(p) = 0. Calculate p.
0, 2
Let x(s) be the second derivative of -s**4/42 + 92*s**3/3 + 1292*s**2/7 + 75*s + 24. Factor x(u).
-2*(u - 646)*(u + 2)/7
Let y be 4 + -10 + 3 + (-14)/(-2). Let k(j) be the second derivative of 0*j**3 + 0*j**6 + 0*j**2 + 0*j**y + 0 + 17*j - 2/21*j**7 + 4/5*j**5. Factor k(z).
-4*z**3*(z - 2)*(z + 2)
Let a(t) be the first derivative of 1/6*t**4 - 98*t + 7/3*t**2 + 22/9*t**3 + 222. Factor a(p).
2*(p - 3)*(p + 7)**2/3
Factor 3/4*f**2 - 525/2*f + 1047/4.
3*(f - 349)*(f - 1)/4
Find y, given that -340/7*y + 28900/7 + 340/7*y**3 - 1/7*y**4 - 28899/7*y**2 = 0.
-1, 1, 170
Let g(t) = -t**2 + 32*t - 169. Let f be g(25). Let h be -10 + f - (-22 - -15). Factor -34/3*z**4 + 8/3*z**5 + 16/3*z + 56/3*z**h - 44/3*z**2 - 2/3.
2*(z - 1)**4*(4*z - 1)/3
Let 