1 - 8*t**6/3 - 152*t**5/5 - 544*t**4/3 - 608*t**3 - 1152*t**2 - 920*t. What is s in p(s) = 0?
-6, -4, -2
Suppose -15*z + 61*z + 23828 = 0. Let v be z/(-140) + 30/100. Solve 4/5*o**2 - 2/5*o**3 + 0 - 2/5*o**v + 0*o = 0 for o.
-2, 0, 1
Suppose 11*d = 14*d - 9. Suppose d*s + 5*b = 37, -5 + 32 = 3*s + 3*b. Factor 43*v**5 + 219*v**3 + 129*v**2 + 5*v**5 + 3 + 168*v**s - 222*v + 255*v.
3*(v + 1)**3*(4*v + 1)**2
Let b be 291/485*(-750)/(-16). Factor 15/4*p - 1/8*p**2 - b.
-(p - 15)**2/8
Let o(r) be the first derivative of 2*r**3/3 + 272*r**2 + 542*r - 1789. Factor o(w).
2*(w + 1)*(w + 271)
Let n be (-1250)/6*(-39 - -55 - 1772/110). What is v in -3584/11*v + 8880/11*v**2 - 7200/11*v**3 - n*v**4 + 480/11 = 0?
-30, 2/5
Let w(f) = 50*f**3 - 220*f**2 + 226*f - 4. Let c(y) = -98*y**3 + 441*y**2 - 453*y + 6. Let r(u) = -4*c(u) - 10*w(u). Factor r(b).
-4*(b - 2)**2*(27*b - 1)
What is s in -886832*s**2 + 93*s + 17*s - 5*s**3 + 886737*s**2 + 200 = 0?
-20, -1, 2
Let o = 13 - -21. Let i be (17/o)/((-2)/(-20)). Factor 69*t**2 - 15*t**4 + 131*t**3 - 164*t**3 + 12*t**i - 38*t + 6 - t.
3*(t - 1)**3*(t + 2)*(4*t - 1)
Suppose -25*z + 532 + 3668 = 0. Suppose -1 + z*i - 86*i - 84*i - i**2 = 0. Calculate i.
-1
Suppose 2*t - 8 + 4 = 0. Suppose 0*j + 4*j - 32 = -t*h, 0 = -3*j + 5*h + 24. What is k in 291*k - 299*k + 12*k**3 + 10*k**4 - j*k**2 + 2*k**2 = 0?
-1, 0, 4/5
Let t(u) = -u**2 - 502*u + 36857. Let q be t(65). What is h in 125/4 + 115/2*h**q - 15*h**3 - 75*h + 5/4*h**4 = 0?
1, 5
Let a = 119337/4 + -1545237/52. Let q = a + -118. Find f such that 4/13 - 2/13*f**2 + q*f = 0.
-1, 2
Factor -4*o**5 + 7*o**4 - 1267561*o**2 + 1267541*o**2 - 6*o**3 + 5*o**5 - 12*o + 3*o**3 - o**4.
o*(o - 2)*(o + 1)**2*(o + 6)
Let o(g) be the first derivative of -g**7/280 - g**6/60 - g**5/40 + 20*g**3/3 - g + 65. Let u(b) be the third derivative of o(b). Factor u(a).
-3*a*(a + 1)**2
Let n be 9 + -2*(-5 - 819/(-90)). Suppose -19*j + 41 = 3. Factor n*q + 0 - 12/5*q**j.
-4*q*(3*q - 1)/5
Let n = 342387/7 - 48912. Factor n*k**2 - 27/7 - 24/7*k.
3*(k - 9)*(k + 1)/7
Let z(k) be the first derivative of 2*k**3/9 + 52*k**2/3 + 1352*k/3 - 1295. Factor z(u).
2*(u + 26)**2/3
Let h(m) = 4*m. Let r(g) = 19*g + 68. Let x(b) = 6*h(b) - r(b). Let s be x(14). What is f in 2*f**2 + 1/2*f**4 + 0 + 0*f - s*f**3 = 0?
0, 2
Let h be (-2076)/(-26) + (-14)/(-91). Suppose -4*v = -h + 68. Factor 1/6*w**v + 2/3 + w**2 + 3/2*w.
(w + 1)**2*(w + 4)/6
Let c(n) = -3*n**2 + 278*n - 4. Let h(l) = -8*l**2 + 841*l - 11. Let r(t) = 11*c(t) - 4*h(t). Factor r(w).
-w*(w + 306)
Let u(n) be the first derivative of -285/2*n**3 - 1/10*n**5 - 49/8*n**4 - 6075/4*n**2 - 15 - 6750*n. What is d in u(d) = 0?
-15, -4
Factor -3*c**4 + 18*c**2 + 196*c + 210*c**3 - 646*c + 174*c**2 + 12*c**3 + 39*c**2.
-3*c*(c - 75)*(c - 1)*(c + 2)
Let m(b) = b**4 + 356*b**3 + 1068*b**2 + 1064*b + 339. Let g(o) = -15*o**4 - 5339*o**3 - 16020*o**2 - 15959*o - 5077. Let j(w) = -6*g(w) - 93*m(w). Factor j(l).
-3*(l + 1)**3*(l + 355)
Suppose -2/7*d**2 + 492*d - 211806 = 0. What is d?
861
Suppose -p = -n - 3*n - 18, -3*n + 159 = 5*p. Solve -13*y**3 + 50 + 80*y**2 - 160*y - 17*y**4 - 8*y**4 + 33*y**3 + 5*y**5 + p = 0 for y.
-2, 1, 2
Let w = -329 + 332. Find k such that 2*k**4 - 2*k**2 + 2*k**5 - 2*k**4 + 2*k**4 - 2*k**w + 0*k**4 = 0.
-1, 0, 1
Let r = 418 + -380. Find j, given that -r*j**2 - 4*j + 32 + 4*j**4 + 14*j**2 - 7*j**3 + 20*j + 3*j**3 = 0.
-2, -1, 2
Let a(d) be the first derivative of d**3/3 + 597*d**2/2 - 598*d - 2424. Factor a(z).
(z - 1)*(z + 598)
Let f = 63968 - 63966. Let 0 + 0*i**2 - 5/2*i**4 - f*i**3 - 1/2*i**5 + 0*i = 0. What is i?
-4, -1, 0
Let i(b) be the second derivative of b**7/168 + b**6/12 + 13*b**5/80 - b**4/2 - 779*b. Factor i(r).
r**2*(r - 1)*(r + 3)*(r + 8)/4
Let i(l) be the third derivative of 0 + 0*l + 1/32*l**4 - 1/80*l**5 - 92*l**2 + 3/4*l**3. Factor i(q).
-3*(q - 3)*(q + 2)/4
Let h be (-28218)/8060*1 - -3. Let m = -2/2015 - h. Factor 1/2 + m*c**2 + c**3 - c**4 - 5/4*c + 1/4*c**5.
(c - 2)*(c - 1)**3*(c + 1)/4
Let z = 555 - 517. Let -314*w - z*w**2 + 3*w**4 + 226*w + 5*w**4 + 24 + 22*w**3 = 0. What is w?
-3, -2, 1/4, 2
Suppose -2*c + 90 = 80. Let x(b) = b**3 - 4*b**2 - 3*b + 1. Let r be x(c). Factor -15*d + 25 - 9*d**2 - r*d**2 + 11*d**2 - d**3.
-(d - 1)*(d + 5)**2
Let w(b) = -5*b**3 + 290*b**2 - 239*b - 67. Let t(l) = -2*l**2 - 1. Let o(i) = 7*t(i) - w(i). Determine n, given that o(n) = 0.
-1/5, 1, 60
Let b(d) be the second derivative of 5 + 26*d + 0*d**4 - 1/5*d**2 + 1/100*d**5 - 1/10*d**3. Factor b(w).
(w - 2)*(w + 1)**2/5
Factor -64*b**2 - 144/5*b**3 + 0*b - 1/5*b**5 - 21/5*b**4 + 0.
-b**2*(b + 5)*(b + 8)**2/5
Let a(f) = 37*f**3 - 9*f**2 + 12. Suppose 3*o - o - 17 = h, 25 = -5*h. Let b(k) = -13*k**3 + 3*k**2 - 4. Let n(z) = o*a(z) + 17*b(z). Find s such that n(s) = 0.
-1, 2
Solve 267*y**2 - 202*y**3 + 800*y**3 + 14*y**5 - 221*y + 2000 - 379*y - 12*y**5 - 60*y**4 - 2207*y**2 = 0 for y.
-1, 1, 10
Let u(w) be the third derivative of w**7/70 - 5*w**6/8 + 69*w**5/10 - 27*w**4 - 33*w**2 + 14*w. Factor u(i).
3*i*(i - 18)*(i - 4)*(i - 3)
Let u(j) be the second derivative of -49*j**6/150 + 21*j**5/50 - 9*j**4/40 + 5*j**3/6 - 3*j**2/2 - 74*j. Let o(y) be the second derivative of u(y). Factor o(r).
-3*(14*r - 3)**2/5
Let k be ((-24)/176)/(48/(-176)). Let y = 79 + -75. Factor k*u**3 - u**2 + y - 2*u.
(u - 2)**2*(u + 2)/2
Let v(g) be the first derivative of g**5 + 135*g**4/4 + 685*g**3/3 - 3075*g**2/2 + 2250*g + 1265. Determine c so that v(c) = 0.
-15, 1, 2
Suppose 2*f - 27 = 5*x, 4*f - 40 = 4*x - 4. Let o be (-2)/(f/9) - -45. Factor 5*l + 32*l - o*l**3 - 95*l**2 + 7*l**3 - 7*l.
-5*l*(l + 3)*(7*l - 2)
Suppose 0*p + 20 = 4*f + 2*p, -5*f - 8 = -3*p. Let r(t) be the second derivative of 0 + 1/15*t**4 + 2/5*t**f - 4/15*t**3 - 15*t. Factor r(b).
4*(b - 1)**2/5
Let g(x) = -x**2 - 26*x - 5. Let b be g(-31). Let u be 22*(-3)/(-12)*b/(-440). Let -1/6*j + 1/3 - 1/6*j**u = 0. What is j?
-2, 1
Let a(k) be the third derivative of k**5/15 + 83*k**4 + 41334*k**3 + 2*k**2 - 855. Find m such that a(m) = 0.
-249
Let k(w) be the first derivative of -9 - 17/10*w**2 - 3/20*w**4 - 6/5*w - w**3 + 1/25*w**5. Find o, given that k(o) = 0.
-1, 6
Factor 69921/2*h + 1/6*h**3 - 208849/6 - 305/2*h**2.
(h - 457)**2*(h - 1)/6
Let z = 482 + -480. Factor -81 - 27*g**2 + 92*g - 7 - g**2 + 24*g**z.
-4*(g - 22)*(g - 1)
Factor 164/11 - 1/11*x**2 - 163/11*x.
-(x - 1)*(x + 164)/11
Let f = 250901 - 250898. Suppose -w - 1/2*w**4 + 1/2 + w**f + 0*w**2 = 0. Calculate w.
-1, 1
Let i(s) = s**3 + 13*s**2 + 42*s + 14. Let y be i(-5). Factor 2*g**y + 424*g**3 - 211*g**3 - 297*g**3 + 1222*g + 714*g + 792*g**2.
2*g*(g - 22)**2*(g + 2)
Let s = -89777/14 + 44983/7. Factor -291/4*l**2 - 108*l - s*l**3 - 48 - 3/4*l**4.
-3*(l + 1)**2*(l + 8)**2/4
Suppose 4/9*p**3 - 592/9 - 44/3*p**2 - 64*p = 0. What is p?
-2, 37
Suppose 3*u + 24 = -3*p, -3*p + 3*u = -263 + 221. Solve -n**2 + 1/2*n**5 + 0 + n**4 + 4*n - 9/2*n**p = 0 for n.
-4, -1, 0, 1, 2
Let c(q) be the second derivative of 1/72*q**4 + 19/18*q**3 + 108*q - 13/4*q**2 + 0. Determine f so that c(f) = 0.
-39, 1
Let h(x) = 12*x**3 + x**2 - 8*x + 7. Let s be h(4). What is w in -2*w**3 + 733 + s + 114*w**2 + 452 - w**3 - 1188*w = 0?
2, 18
Let f be (-260)/91 + 3 + 11972/(-14). Let p = f - -860. Let 6*o**3 + 112/11*o**4 + 0 + 8/11*o - 56/11*o**2 + 32/11*o**p = 0. What is o?
-2, 0, 1/4
Let z(p) be the second derivative of p**5/20 - 3*p**4/2 - 13*p**3/2 - 10*p**2 + 4840*p. Solve z(v) = 0 for v.
-1, 20
Let w = -1560486/7 + 222927. Factor -9/7*q**2 - 12/7*q - w.
-3*(q + 1)*(3*q + 1)/7
Let q be (36/(-12))/(120/(-8)). Let t(f) be the second derivative of 4*f - 1/3*f**4 + 0*f**3 + 0*f**2 - 1/30*f**6 - q*f**5 + 0. Solve t(o) = 0.
-2, 0
Let f(s) be the first derivative of s**6/10 + 18*s**5/25 + 9*s**4/5 + 2*s**3 + 9*s**2/10 + 598. Factor f(a).
3*a*(a + 1)**3*(a + 3)/5
Let q(d) = -10*d - 2. Let j be q(-4). Let a be -3 + (-524)/(-28) + (-4)/(-14). Determine f, given that 39*f + j*f + a*f**3 - 85*f - 28*f**2 = 0.
-1/4, 0, 2
Factor 141*q - 5*q**2 + 238 - 6*q**2 + 3*q**2 - 161*q + 6*q**2.
-2*(q - 7)*(q + 17)
Let k(s) = 16*s**4 - 24*s**3 - 4*s**2 + 36*s + 4. Let v(i) = 13*i**4 - 26*i**3 - 4*i**2 + 35*i + 3. Let u(z) = 3*k(z) - 4*v(z). Solve u(l) = 0 for l.
-1, 0, 1, 8
Let n(u