ppose 31*j = 6*j - 25. Let w be j*6 + -2 + (-164)/(-10). Factor 98/15 - w*s + 2*s**2 - 2/15*s**3.
-2*(s - 7)**2*(s - 1)/15
Suppose -84 = 5*d + d. Let g = d - -16. Factor 3*z**2 + g*z**2 - 40*z + 20 + 25*z**3 + 19*z**5 - 5*z**4 - 24*z**5.
-5*(z - 1)**3*(z + 2)**2
Let q(c) be the second derivative of 11*c - 51/5*c**2 + 1/50*c**5 - 3 - 13/30*c**4 - 13/3*c**3. Suppose q(h) = 0. What is h?
-3, -1, 17
Let f be (92*12/16)/(3/(-4)). Let w = -89 - f. Find p such that -4*p**5 - 11*p**3 + 4*p**3 + w*p**3 + 12*p**4 + 8*p - 12*p**2 = 0.
-1, 0, 1, 2
Let l(s) = -4*s + 21. Let b be l(4). Let i(m) = m**2 - m + 1. Let a(p) = 2*p**3 + 21*p**2 + 25*p - 53. Let k(j) = b*i(j) + a(j). Solve k(v) = 0.
-12, -2, 1
Let g be (3/(-9))/(2/(-18)). Suppose -b - h = -g, -3*b = -b + 4*h - 8. Find x, given that -86 + 45*x**b - 18*x**4 - 99 + 15*x**3 + 173 = 0.
-1, -2/3, 1/2, 2
Let 500*x**2 - 4*x**4 + 96*x + 6*x - 424*x**2 + 9*x + 9*x = 0. Calculate x.
-3, -2, 0, 5
Suppose 17*y - 24*y = -280. Let d(o) = 65*o**2 - 4*o - 3. Let c(f) = 845*f**2 - 55*f - 40. Let x(h) = y*d(h) - 3*c(h). Suppose x(b) = 0. Calculate b.
-1/13, 0
Suppose -8*g - k - 5 = -11*g, -4*k = -16. Factor -169*w + 17328 - 39*w - 248*w + g*w**2.
3*(w - 76)**2
Let m(l) be the third derivative of l**5/105 + 81*l**4 + 275562*l**3 + 3510*l**2. Factor m(h).
4*(h + 1701)**2/7
Suppose 5*r - 8*r - 5*v + 2227 = 0, -1484 = -2*r - 4*v. Let 13669*w + r*w**2 + 4*w**3 + 1194614 - 241302 + 32459*w = 0. What is w?
-62
Let p = 2/19933 - -418589/39866. Find j such that -15/2*j**4 + 0 + 3/2*j + 2*j**5 + p*j**3 - 13/2*j**2 = 0.
0, 3/4, 1
Solve -172*h + 53105*h**2 - 91 - 349 + 4*h**3 - 53073*h**2 = 0 for h.
-11, -2, 5
Let z(c) be the first derivative of -c**4/3 + 4*c**3/3 + 392*c**2/3 + 256*c + 6959. Let z(l) = 0. What is l?
-12, -1, 16
Let v be ((-54)/(-405))/((-3)/(-63)). Factor -2/5*l**3 - 8/5*l**2 + v*l + 4.
-2*(l - 2)*(l + 1)*(l + 5)/5
Let n = -93310/209 - -8500/19. Factor 16/11*l**2 + 0 + 2/11*l**4 + 8/11*l + n*l**3.
2*l*(l + 1)*(l + 2)**2/11
Let v(f) be the second derivative of 9*f**5/20 - 19*f**4/2 + 77*f**3/2 + 45*f**2 - 554*f + 1. Factor v(n).
3*(n - 10)*(n - 3)*(3*n + 1)
Suppose -495*k**2 - 566 - 3368*k + 2*k**3 + 2606 + 8653*k - 7*k**3 - 3735*k = 0. What is k?
-102, -1, 4
Suppose -9/2*s + 4*s**2 + 0 - 1/2*s**5 - 4*s**4 + 5*s**3 = 0. What is s?
-9, -1, 0, 1
Let w(l) be the second derivative of 3*l**5/20 + 43*l**4/4 + 83*l**3/2 + 123*l**2/2 - 19*l + 8. Factor w(s).
3*(s + 1)**2*(s + 41)
Let t(a) be the first derivative of -a**8/112 + a**6/4 - 9*a**4/8 - 26*a**2 + 34. Let q(m) be the second derivative of t(m). Solve q(j) = 0 for j.
-3, -1, 0, 1, 3
Let s = 8949608/24765 + -1400/1651. Suppose 2/15*v**2 + s - 208/15*v = 0. Calculate v.
52
Let q(v) be the second derivative of -151*v + 0 + 625/16*v**2 + 25/24*v**3 + 1/96*v**4. Factor q(s).
(s + 25)**2/8
Let w(g) = -g**3 + g. Let u = 252 - 247. Let f(z) = 0*z**2 + 3*z**3 - 2*z + z**2 - z - 1. Let j(h) = u*f(h) + 10*w(h). Find y, given that j(y) = 0.
-1, 1
Let k(x) be the second derivative of 34 + 5*x - 7/10*x**2 - 11/15*x**3 - 1/10*x**5 - 2/5*x**4 - 1/150*x**6. Factor k(a).
-(a + 1)**3*(a + 7)/5
Let d(a) be the third derivative of 0*a**4 + 0*a**3 + 2 - 1/30*a**5 + 1/168*a**8 + 0*a + 1/20*a**6 - 1/35*a**7 - 11*a**2. Factor d(g).
2*g**2*(g - 1)**3
Let w(h) be the second derivative of 3*h**7/14 - 7*h**6/5 - 6*h**5/5 + 7*h**4/2 + 5*h**3/2 + 2936*h + 1. Determine r so that w(r) = 0.
-1, -1/3, 0, 1, 5
Let h = -4492/9 - -1498/3. Let b(u) be the first derivative of h*u**6 + 4/15*u**5 - 16 - 16/3*u + 16/3*u**2 - 5/3*u**4 - 4/9*u**3. Suppose b(x) = 0. What is x?
-2, 1
Let t(g) be the first derivative of 3*g**5/20 - 3*g**4/4 - 9*g**3/2 - 15*g**2/2 - 35*g - 61. Let j(k) be the first derivative of t(k). Factor j(f).
3*(f - 5)*(f + 1)**2
Let y be (-130)/(-14) + 3 - (-38)/(-133). Let w(o) be the first derivative of 3/20*o**4 - 3/10*o**2 + y + 3/25*o**5 - 1/5*o**3 + 0*o. Factor w(s).
3*s*(s - 1)*(s + 1)**2/5
Factor 5*h**3 - 118*h**4 - 33 + 80*h + 11*h**3 - 4*h**2 - 58*h**2 + 117*h**4.
-(h - 11)*(h - 3)*(h - 1)**2
Let g(c) be the first derivative of -c**4/3 - 152*c**3/9 - 74*c**2/3 + 937. Solve g(n) = 0 for n.
-37, -1, 0
Let o(u) be the first derivative of -u**7/1680 + u**6/120 + 3*u**5/20 + 5*u**4/6 + 38*u**3/3 + 26. Let n(p) be the third derivative of o(p). Factor n(k).
-(k - 10)*(k + 2)**2/2
Factor 258/7*t**2 + 3402 + 1242*t + 2/7*t**3.
2*(t + 3)*(t + 63)**2/7
Let b(u) be the third derivative of 0 - 59/300*u**5 - 19/40*u**4 - 3/5*u**3 - 1/350*u**7 + 2*u**2 - 23/600*u**6 + 14*u. Determine y so that b(y) = 0.
-3, -1, -2/3
Let n = -414 + 417. Let r be n - 25/6 - -2. Solve -5/2*x**3 - r*x**4 + 0 + 0*x - 5/3*x**2 = 0 for x.
-2, -1, 0
Let n(j) be the second derivative of 2*j**6/15 + 2*j**5/5 - 5*j**4 + 8*j**3/3 + 40*j**2 + 2*j + 290. Factor n(a).
4*(a - 2)**2*(a + 1)*(a + 5)
Let 7/2*g**3 + 1/2*g**4 - 13/2*g**2 - 12 - 43/2*g = 0. Calculate g.
-8, -1, 3
Let p(q) be the second derivative of -7/20*q**5 - q**3 + 0 + 3*q**2 + 9/8*q**4 - 12*q. Let w(a) be the first derivative of p(a). Factor w(x).
-3*(x - 1)*(7*x - 2)
Let n = -662 + 656. Let f be 1/(-10 - n)*-1. Factor 1/4 + f*q - 1/4*q**3 - 1/4*q**2.
-(q - 1)*(q + 1)**2/4
Let u(j) = 14*j**2 + 142*j + 11. Let a be u(-10). Let n(w) = 2*w + 22. Let m be n(a). Factor 2/7*h**2 - 1/7*h**m + 0*h - 1/7 + 0*h**3.
-(h - 1)**2*(h + 1)**2/7
Let 91/8*r + 31/8*r**2 - 3/4 = 0. What is r?
-3, 2/31
Let n(a) be the second derivative of -a**4/18 - 121*a**3/9 - 238*a**2/3 - 1208*a. Determine z so that n(z) = 0.
-119, -2
Let y(u) be the second derivative of 2*u**6/15 + 178*u**5/5 - 364*u**4 + 4400*u**3/3 - 2944*u**2 - 5513*u. Solve y(k) = 0.
-184, 2
Let i = -949 - -85. Let z be ((-3)/(-44))/((-81)/i). What is l in -z - 130/11*l**2 - 72/11*l = 0?
-2/5, -2/13
Suppose 0 = -7*w + 3*i + 15, -2*w - 3*i = 2203 - 2188. Solve 0 - 1/4*d**4 + 1/2*d**3 + w*d - 1/4*d**2 = 0.
0, 1
Find h, given that -15/2*h**3 - 15/2*h**5 - 710*h**2 - 360 + 95*h**4 + 990*h = 0.
-3, 2/3, 1, 2, 12
Let t = -929 - -934. Let v(k) be the third derivative of -25/9*k**3 + 9*k**2 + 5/18*k**4 + 0 - 1/90*k**t + 0*k. Factor v(n).
-2*(n - 5)**2/3
What is s in 0 + 837/2*s + 3/2*s**2 = 0?
-279, 0
Let v(x) be the third derivative of 4*x**4 - 10/3*x**3 + 0 + 183*x**2 + 0*x + 2/35*x**7 - 2*x**5 + 4/15*x**6. Solve v(t) = 0.
-5, 1/3, 1
What is r in 3248/3*r - 496 + 644*r**2 - 32/3*r**3 = 0?
-2, 3/8, 62
Let s(y) be the first derivative of -y**4/16 - 329*y**3/4 - 30381*y**2 + 61009*y - 2196. Factor s(r).
-(r - 1)*(r + 494)**2/4
Let j = 1543 + -1552. Let w be 63/(-189)*(42/j + 2). Solve 34/9*i**3 - 4/9 - w*i**4 - 16/3*i**2 + 26/9*i = 0 for i.
1/4, 1, 2
Let c(w) be the first derivative of 2/33*w**3 - 325 + 47/11*w**2 + 0*w. Solve c(v) = 0.
-47, 0
Let r(b) = 17*b - 9. Suppose -3*v + 18 - 36 = 0. Let p(w) = w**2 - 68*w + 37. Let a(z) = v*p(z) - 26*r(z). Factor a(c).
-2*(c + 6)*(3*c - 1)
Determine j, given that 0*j - 5*j**3 + 0 + 15/4*j**4 + 5/4*j**2 = 0.
0, 1/3, 1
Let o(t) be the first derivative of t**6/24 + 33*t**5/10 + 1089*t**4/16 - 487. Let o(w) = 0. What is w?
-33, 0
Suppose -2*h - 4 - 30 = 5*k, 3*k = -3*h - 24. Let p be (k - 2 - -4) + 7. Factor 14/9*w - 2/3*w**2 + 2/9*w**4 - 2/3*w**p + 4/3.
2*(w - 3)*(w - 2)*(w + 1)**2/9
Let s(u) be the first derivative of 1/9*u**2 - 2/9*u**5 - 2/3*u**3 + 4/9*u - 55 - 13/18*u**4. Suppose s(o) = 0. Calculate o.
-1, 2/5
Let q(a) be the second derivative of a**8/1008 + 31*a**7/504 + 5*a**6/36 + 2*a**3 - 3*a**2 + 203*a. Let b(n) be the second derivative of q(n). Factor b(l).
5*l**2*(l + 1)*(l + 30)/3
Let q be (10*-1)/(288/(-8256)). Let y = q - 286. Determine i, given that -2/3*i**2 + 0 + 4/3*i + y*i**4 - 4/3*i**3 = 0.
-1, 0, 1, 2
Let d(j) be the first derivative of 5/4*j**4 - 6 - 10*j + 0*j**3 - 15/2*j**2. Factor d(q).
5*(q - 2)*(q + 1)**2
Let k(f) be the second derivative of f**7/294 - 3*f**6/70 + 23*f**5/140 - f**4/28 - 6*f**3/7 - 1631*f. Factor k(l).
l*(l - 4)*(l - 3)**2*(l + 1)/7
Let n = -3110 + 3110. Let h(a) be the second derivative of 4*a + 0*a**2 + n + 1/54*a**4 - 1/135*a**6 - 1/27*a**3 + 1/90*a**5. Factor h(l).
-2*l*(l - 1)**2*(l + 1)/9
Let g = 355 + -231. Factor 344 + 16 + j**2 + g - 44*j.
(j - 22)**2
Let r(v) be the second derivative of 23*v**4/48 - 2*v**3 + v**2/2 - v - 231. Factor 