*2 - s + 1 - 4*h = 0. Calculate h.
0, 1
Let q = 587813/96 - 6123. Let j(v) be the second derivative of 0 + 1/4*v**2 + q*v**4 + 1/6*v**3 + 1/160*v**5 - 7*v. Factor j(a).
(a + 1)*(a + 2)**2/8
Let g(j) = -9*j**2 + 6*j**2 + 5*j + 8 + 3*j**2 - 3*j**2. Let u be g(-1). Factor 0*o + u - 2/15*o**2.
-2*o**2/15
Find a, given that 9756/5*a**4 + 98281/5*a**3 + 66966*a**2 + 200 + 7260*a + 324/5*a**5 = 0.
-10, -1/18
Let b(u) be the second derivative of -u**6/540 - u**5/135 + u**4/108 + 2*u**3/27 + 24*u**2 - 61*u. Let o(z) be the first derivative of b(z). Factor o(j).
-2*(j - 1)*(j + 1)*(j + 2)/9
Let c(l) = 52*l**3 + 325*l**2 + 1219*l + 1680. Let a(w) = -5*w**3 - 32*w**2 - 122*w - 168. Let v(x) = 42*a(x) + 4*c(x). Determine n, given that v(n) = 0.
-14, -6, -2
Let y(j) = -j**2 - 1. Let d(t) be the third derivative of t**6/20 + t**5/10 - 5*t**4/8 + 3*t**3/2 + 10*t**2 + 4*t. Let z(q) = d(q) + 3*y(q). Factor z(k).
3*(k - 1)*(k + 2)*(2*k - 1)
Let p(j) = 7*j**2 - 42*j - 32. Let x(n) = -n**2 - 2*n + 4. Let r(g) = -3*p(g) - 24*x(g). Factor r(h).
3*h*(h + 58)
Let g(o) be the third derivative of -2*o**3 + 1/5*o**5 + 1/40*o**6 - 1/8*o**4 + 0 + 37*o**2 + 0*o. Find m, given that g(m) = 0.
-4, -1, 1
Factor 973*s - 306*s - s**2 - 359*s - 307.
-(s - 307)*(s - 1)
Let m = 9668 - 5180. Determine q so that -2450 + m*q - 399*q**2 + 998 + 64*q**3 - 55*q**3 = 0.
1/3, 22
Let o(g) be the third derivative of g**7/135 + g**6/60 - 286*g**5/135 + 11*g**4/3 + 160*g**3/27 - 13*g**2 - 79*g. Determine m, given that o(m) = 0.
-10, -2/7, 1, 8
Let u = -1639/7 - -262247/1120. Let k(h) be the third derivative of 9*h**2 + 0*h - 1/160*h**5 - 1/8*h**3 - 5/64*h**4 + u*h**6 + 0. Factor k(y).
3*(y - 2)*(y + 1)*(2*y + 1)/8
Let g(f) be the second derivative of f**5/20 + 16*f**4/9 + 319*f**3/18 - 121*f**2/3 + 6346*f + 2. Factor g(o).
(o + 11)**2*(3*o - 2)/3
Let p(u) = 36*u**3 - 3860*u**2 - 3814*u + 7694. Let x(g) = 8*g**3 - 772*g**2 - 763*g + 1539. Let b(v) = 3*p(v) - 14*x(v). Find c, given that b(c) = 0.
-192, -2, 1
Suppose 0 = -11330*q + 11326*q + 2*o + 46, -2*o = 5*q + 1. What is u in -123/5*u**4 - 6*u**q + 132/5*u**2 - 36/5*u + 0 - 51/5*u**3 = 0?
-3, -2, 0, 2/5, 1/2
Let k(m) = 12*m**3 + 69*m**2 - 67*m - 21. Let f(h) = 11*h**3 + 67*h**2 - 66*h - 18. Let s(v) = -7*f(v) + 6*k(v). Factor s(r).
-5*r*(r - 1)*(r + 12)
Suppose -20922*a + 20927*a - 55 = 5*q, 5*a + 4*q + 17 = 0. Suppose 1/3*g**5 - 2/3*g**2 + 4*g - 7/3*g**a + 0*g**4 + 8/3 = 0. Calculate g.
-2, -1, 2
Let h(n) = -55*n**3 - 330*n**2 - 650*n - 315. Let s(a) = 14*a**3 + 83*a**2 + 162*a + 81. Let v(c) = -9*h(c) - 35*s(c). Factor v(w).
5*w*(w + 4)*(w + 9)
Suppose 288 = 47*d - 23*d. Suppose 4*z - d = -6*x + 3*x, 0 = z - 2*x - 3. Factor 4/5*t + 0 + 1/5*t**z + 4/5*t**2.
t*(t + 2)**2/5
Let b(t) = t + 41. Let m be b(-22). Let h = 21 - m. Let 20*g + 24*g**2 - 47*g**h + 27*g**2 - 24 = 0. What is g?
-6, 1
Suppose 4*j + 4*j = 96. Factor 2 - 2*n**2 + 9 - 29 - 12 - j + 44*n.
-2*(n - 21)*(n - 1)
Solve -18/11*b**3 - 296/11*b + 224/11 + 128/11*b**2 = 0.
2, 28/9
Find b, given that -4005*b**4 + 4006*b**4 + 8*b**3 - 4*b**2 + 25*b**2 + 8 + 22*b = 0.
-4, -2, -1
Let a = 353983/5 + -70785. Factor -a*r + 841/5 + 1/5*r**2.
(r - 29)**2/5
Let g(b) be the first derivative of -4*b**2 - 3 + 1/6*b**4 + 1/10*b**5 + 8*b - 4/3*b**3. Let f(n) be the first derivative of g(n). Suppose f(i) = 0. What is i?
-2, -1, 2
Let d(n) = 5*n**3 + 70*n**2 - 2*n - 24. Let h be d(-14). Let x(l) be the first derivative of 3/2*l**2 + h*l - 1/3*l**3 + 21. Factor x(f).
-(f - 4)*(f + 1)
Let t(k) be the first derivative of 3*k**5/80 - k**4/16 - k**3/2 + 3*k**2/2 + 13*k - 54. Let f(c) be the first derivative of t(c). Solve f(g) = 0.
-2, 1, 2
Suppose 317 = 94*x - 59. Let d(y) be the first derivative of -15*y**3 + 0*y + 3*y**2 + 75/4*y**x + 45. Factor d(g).
3*g*(5*g - 2)*(5*g - 1)
Let f(r) = -13*r**3 + 8*r**2 + 7*r - 14. Let x(g) = -2*g**3 + g - 1. Let v = -136 + 135. Let z(t) = v*f(t) + 6*x(t). Factor z(n).
(n - 8)*(n - 1)*(n + 1)
Let r(z) be the third derivative of -1/30*z**5 - 2*z**2 + 0*z + 3 + 1/40*z**6 - 1/105*z**7 + 1/48*z**4 + 0*z**3 + 1/672*z**8. Solve r(w) = 0 for w.
0, 1
Factor 304*i - 54*i**2 + 2556*i + 24*i**2 + 25*i**2 - 408980.
-5*(i - 286)**2
Let q(j) be the second derivative of j**5/70 - 11*j**4/21 - 25*j**3/21 + 46*j**2/7 - 19*j + 7. Factor q(h).
2*(h - 23)*(h - 1)*(h + 2)/7
Let v be -35*1*10/(-25). Suppose i = 4*q + v, 5*q + 19 = -i + 3*i. Let -36*w**5 - 13*w**2 + 21*w**4 + 33*w**3 - 11*w**i + 3*w + 3*w**2 = 0. Calculate w.
-1, 0, 1/4, 1/3, 1
Let k be -1*62*(-2)/28. Let d = -1502324 + 1502332. Let d*q**2 + k*q + 4/7 - 16/7*q**3 = 0. Calculate q.
-1/4, 4
Let o(c) = c**3 + c - 1. Let p(y) = 7*y**2 - 3*y**2 + 3*y - 1 - y**2 + 0 + 2*y**3. Let m(l) = o(l) - p(l). Determine i so that m(i) = 0.
-2, -1, 0
Let x(w) be the third derivative of -w**8/336 + 254*w**7/105 + w**6/120 - 127*w**5/15 - 5399*w**2. Let x(v) = 0. Calculate v.
-1, 0, 1, 508
Determine n so that -61/2*n**2 - 74*n + 110*n**3 + 25/2*n**4 - 18 = 0.
-9, -2/5, 1
Let m(c) be the second derivative of -1/18*c**3 + 1/24*c**4 + 0*c**2 + 15 - 1/180*c**6 + 0*c**5 + c. Factor m(j).
-j*(j - 1)**2*(j + 2)/6
Let u = 12508 + -17803. Let g be u/(-20) - (2 - (-18)/(-8)). Find d such that 129*d**2 - d**4 + 136*d**2 + d**3 - g*d**2 = 0.
0, 1
Let x = 99 - 93. Let c be (0 - 315/x)*(-4)/6. Determine d, given that 0*d**5 - 30*d**4 - 14*d**5 - 4*d**5 - 16*d + c*d**3 + 24*d**2 - 7*d**3 = 0.
-2, -1, 0, 2/3
Let g(v) be the third derivative of 1/160*v**6 + 0*v**3 + 2*v**2 + 1/280*v**7 + 0*v**4 + 0*v**5 - 49*v + 0. Factor g(k).
3*k**3*(k + 1)/4
Let m = -895 + 898. Let x be (-804)/(-15) - (-4)/10. Factor x - 13*p**3 + 7*p**3 + 18*p**2 + p**3 + m*p**3 - 54*p.
-2*(p - 3)**3
Suppose -47/5*x - 3/5*x**3 - 32/5*x**2 - 18/5 = 0. Calculate x.
-9, -1, -2/3
Let x(q) be the second derivative of -q**7/2 + 3*q**6 + 1257*q**5/20 - 75*q**4/2 - 206*q**3 + 180*q**2 - 1538*q. Let x(v) = 0. Calculate v.
-6, -1, 2/7, 1, 10
Suppose -598*u + 536 = -154*u - 352. Factor 128/3*d - 44 + 4/3*d**u.
4*(d - 1)*(d + 33)/3
Let o(b) be the first derivative of b**3/6 - 59*b**2/4 + 414*b - 4319. Factor o(l).
(l - 36)*(l - 23)/2
Let l(d) be the first derivative of d**3/5 - 81*d**2/10 - 84*d/5 + 413. What is v in l(v) = 0?
-1, 28
Suppose 4788*u - 187*u**2 + 8836 + u**3 + 5713*u - 2330*u + 477*u = 0. Calculate u.
-1, 94
Let m(j) = 20*j**2 - 16*j. Let s(l) be the third derivative of l**5/10 + l**4/24 + 260*l**2. Let u(r) = -m(r) + 4*s(r). What is a in u(a) = 0?
-5, 0
Let s(w) be the first derivative of 75*w**4 - 140 - 6*w**5 + 1/6*w**6 - 1152*w - 1160/3*w**3 + 960*w**2. Factor s(u).
(u - 12)**2*(u - 2)**3
Let i(z) be the second derivative of 18/11*z**2 + 1/55*z**5 + 0 + 25*z + 17/66*z**4 + z**3. Factor i(u).
2*(u + 1)*(u + 6)*(2*u + 3)/11
Let g(n) be the second derivative of 60*n + 1/30*n**5 + 11*n**3 + 0 + 19/18*n**4 + 27*n**2. Factor g(m).
2*(m + 1)*(m + 9)**2/3
Let c(x) be the second derivative of x**7/42 + 4*x**6/15 - 3*x**5/10 - 10*x**4/3 + 61*x**3/6 - 12*x**2 + 90*x - 3. Factor c(l).
(l - 1)**3*(l + 3)*(l + 8)
Let s(g) be the third derivative of -g**8/2688 + g**7/560 + 19*g**6/480 - 2*g**5/5 + 7*g**4/6 - 109*g**2 - 5. Suppose s(o) = 0. Calculate o.
-7, 0, 2, 4
Let r = -23001/184 - -125. Let i = 277/184 + r. Let -9/2*n - i*n**2 + 6 = 0. What is n?
-4, 1
Let v = 1147 + -1147. Let b be 5060/2760 - (2/6 + v). Find i, given that i + 0*i**3 + 1/2*i**4 + 0 - b*i**2 = 0.
-2, 0, 1
Let d(n) be the second derivative of 1/60*n**6 + 118*n + 0*n**2 + 4/3*n**3 + 1/5*n**5 + 0 + 5/6*n**4. Solve d(h) = 0 for h.
-4, -2, 0
Suppose -5*z = 4*b - 59, 196*z - 191*z = 4*b + 51. Let s(p) be the first derivative of 0*p - 1/2*p**2 - 1/2*p**3 - z. Solve s(a) = 0.
-2/3, 0
Suppose 71*c**4 - 2*c**4 - 27 + 129*c**3 + 77*c**3 + 130*c**3 + 438*c**2 + 144*c = 0. What is c?
-3, -1, 3/23
Let t(x) = x - 7 + x**2 + 7 - 4. Let p be t(-3). Factor -3*v + 15*v**3 + 0*v**3 + 8*v**p - 5*v**2 + 9*v**4.
3*v*(v + 1)**2*(3*v - 1)
Factor -4*a**2 + 64*a - 11*a**4 + 16*a**2 - 395*a**3 - 64 + 381*a**3 + 13*a**4.
2*(a - 4)**2*(a - 1)*(a + 2)
Suppose -y + 3*q = -3*y + 122, 0 = -2*q - 4. Let r = y - 60. Factor 13*d**3 - 5*d**2 + 0*d**2 - 10*d**3 + 2*d + d**r - d**5.
-d*(d - 1)**3*(d + 2)
Solve -5*w**3 - 3425*w**2 - 108 + 123*w + 2*w**3 + 3413*w**2