*(w + 3)*(w + 9)/4
Solve -152*d - 1/2*d**2 - 302 = 0 for d.
-302, -2
Let r(v) be the first derivative of v**4/10 - 788*v**3/15 + 7840*v**2 - 153664*v/5 + 1410. Determine u, given that r(u) = 0.
2, 196
Solve -280/3*r - 2/9*r**2 - 9800 = 0.
-210
Let n(w) = 6*w**3 - 84*w**2 - 518*w - 654. Let f(b) = -7*b**3 + 82*b**2 + 519*b + 657. Let u(h) = -2*f(h) - 3*n(h). Solve u(y) = 0 for y.
-3, -2, 27
Factor 1250/7*p**2 - 2502/7*p + 4/7.
2*(p - 2)*(625*p - 1)/7
Let a(j) be the first derivative of -j**5/15 - 951*j**4/4 - 301467*j**3 - 286695117*j**2/2 + 558. Find h, given that a(h) = 0.
-951, 0
Let u(f) = -3*f**2 + 32*f - 289. Let t(n) = -7*n**2 + 63*n - 578. Let z(q) = -q**3 - 6*q**2 - 2*q + 5. Let i be z(-5). Let x(a) = i*u(a) + 4*t(a). Factor x(p).
2*(p - 17)**2
Suppose 5430 = 3449*x - 3208 - 1709. Suppose 109/6*a**x + 0*a + 1/3*a**2 + 0 = 0. What is a?
-2/109, 0
Solve 144/5*g**3 + 54/5 + 189/5*g + 36/5*g**4 + 3/5*g**5 + 246/5*g**2 = 0 for g.
-6, -3, -1
Let -29*h**5 + 142*h**5 - 653*h**3 - 787*h**4 - 81*h**5 - 2*h**2 - 67*h**3 + 60*h - 149*h**4 = 0. Calculate h.
-1/2, 0, 1/4, 30
Let z(p) = p**2 + p + 10. Let d(i) = i**4 + 19*i**3 + 94*i**2 + 146*i - 40. Let c(v) = 2*d(v) + 22*z(v). Suppose c(g) = 0. What is g?
-10, -7, -1
Let p(n) be the first derivative of 0*n**2 + 0*n + 0*n**3 - 91 - 5/4*n**4 - n**5. Determine b so that p(b) = 0.
-1, 0
Let r be ((-2583)/42)/(5 + (-40)/5) + 2. Factor -42*x + 6 - r*x**2.
-3*(x + 2)*(15*x - 2)/2
Find q, given that -3/2*q**3 + 105 - 6*q**2 + 93/2*q = 0.
-7, -2, 5
Let s = -142 + 187. Let g be 28/(-16)*(-7 - (-207)/s). Factor -2/5*v**2 - g*v - 2.
-(v + 10)*(2*v + 1)/5
Let g(r) = r**2. Let z = 8 + 4. Let b(f) = 5*f**2 + 3*f + 2. Suppose 8*l = -7 - 17. Let o(k) = l*b(k) + z*g(k). Let o(t) = 0. What is t?
-2, -1
Factor -951/4*d + 0 - 3/4*d**2.
-3*d*(d + 317)/4
Let t = -455755 + 5925103/13. Factor 2/13*i**5 + 80/13*i**3 - 864/13*i - t*i**2 + 28/13*i**4 + 1728/13.
2*(i - 2)**2*(i + 6)**3/13
Suppose 3*f - 56 = -y - 165, -f = -4*y + 45. Let i = 39 + f. Factor -5*u**4 - 5*u**3 + 43 - 2*u**2 + 5*u + 7*u**i - 43.
-5*u*(u - 1)*(u + 1)**2
Determine k so that 494*k**2 - 223*k**2 + 44*k**3 + 50 + 969*k**2 - 19*k**3 - 499*k = 0.
-50, 1/5
Let x be (2/((-240)/228) + 15/6)/((-13)/(-65)). Factor 0*a**2 - 2/19*a**4 + 20/19*a**x + 0 + 0*a.
-2*a**3*(a - 10)/19
Let j(a) be the second derivative of 2/3*a**2 + 1/135*a**6 - 135*a + 1/10*a**5 + 7/18*a**4 + 19/27*a**3 + 2. Find p such that j(p) = 0.
-6, -1
Suppose 122*p + 499 - 532 = 1553. Let s(x) be the second derivative of 4/5*x**2 + 2/5*x**3 - 8/15*x**4 + p*x + 0 + 3/25*x**5. Let s(u) = 0. Calculate u.
-1/3, 1, 2
Let a = -39288 + 39290. Let q(x) be the third derivative of 1/60*x**5 + 0 + 0*x + 45*x**a + 0*x**3 + 1/12*x**4. Solve q(d) = 0 for d.
-2, 0
Find x such that 804/5*x**2 - 4/5*x**4 + 272/5 + 812/5*x + 52*x**3 = 0.
-1, 68
Let i(m) be the first derivative of 7*m**5/10 - m**4/6 - 81*m - 30. Let k(y) be the first derivative of i(y). Factor k(t).
2*t**2*(7*t - 1)
Suppose 0 = 4*l - 5*m + 67, 1393*l - 5*m + 79 = 1395*l. Find g such that 0 - 12/5*g**l + 12/5*g**4 - 8/5*g + 4/5*g**3 + 4/5*g**5 = 0.
-2, -1, 0, 1
Factor 2/7*d**2 + 100 - 702/7*d.
2*(d - 350)*(d - 1)/7
Let m be (52/10 - 5)*6290/6919. Determine z so that 6/11*z - 14/11*z**2 + 0 - m*z**4 + 10/11*z**3 = 0.
0, 1, 3
Let a = -1 - -1. Let u be (-539)/44044*26 + (-2)/(-4). Find o such that 4/11*o + u*o**2 + a = 0.
-2, 0
Find r such that -13/9*r**3 - 70/9 + 1/9*r**4 + 5*r**2 - 11/9*r = 0.
-1, 2, 5, 7
Suppose 235*i = 231*i + 8. What is j in 27*j**2 - 19 + 9*j**i - 5 - 18*j**3 - 15*j**3 + 23*j**3 + 22*j = 0?
-1, 3/5, 4
Let u = 150 + -142. Let h(i) be the third derivative of 0*i + 0*i**7 + 5/2*i**4 - 1/84*i**u + 4/3*i**5 + 8/3*i**3 + 0 + 1/3*i**6 + 32*i**2. Factor h(p).
-4*(p - 4)*(p + 1)**4
Let l be 47 - 1 - (-3 + 1). Suppose 31*t - 161 = -6. Solve -2*m - 4*m**2 + 0*m**2 + 4*m**3 + l - 2*m**t - 46 + 2*m**4 = 0.
-1, 1
Let x(v) be the second derivative of v**6/120 + 179*v**5/80 + 3139*v**4/48 + 5307*v**3/8 + 1620*v**2 + 662*v - 2. Factor x(w).
(w + 1)*(w + 9)**2*(w + 160)/4
Let p = 13906/5 + -13904/5. Factor 0 - 1/5*q**5 - q**3 + 4/5*q**4 + p*q**2 + 0*q.
-q**2*(q - 2)*(q - 1)**2/5
Let h = 31 + -31. Let v be (-368)/64 + 6 + (-3)/44. Solve 2/11*g**4 - 6/11*g**3 + h - v*g**2 + 2/11*g**5 + 4/11*g = 0.
-2, -1, 0, 1
Let p(j) be the second derivative of -j**7/252 - j**6/30 + 17*j**5/60 - 7*j**4/9 + 13*j**3/12 - 5*j**2/6 - 3801*j. Factor p(c).
-(c - 1)**4*(c + 10)/6
Let y be (-128)/9 - (-1 + 14/18). Let d be y/70 + (-111)/(-5). Solve -d*q + 5*q**3 + 0*q**3 - 6*q**3 + 8*q**2 + 16 + 2*q = 0 for q.
2, 4
Let o = 9596/3 + -3188. Let d(r) be the third derivative of o*r**3 + 1/60*r**5 + 0 + 0*r - 2/3*r**4 + 4*r**2. Factor d(p).
(p - 8)**2
Let y(d) = -2*d - 30*d**3 + 1 + 0*d + 16*d**3 + 0*d + 16*d**3. Let u(b) = 20*b**3 + 200*b**2 + 372*b + 200. Let h(g) = -u(g) + 8*y(g). Factor h(j).
-4*(j + 1)**2*(j + 48)
Let h(x) be the second derivative of 0*x**3 + 55*x - 16/9*x**2 + 1/54*x**4 - 1. Factor h(m).
2*(m - 4)*(m + 4)/9
Let c(r) be the third derivative of -4/15*r**4 - 12*r**2 + 0*r - 3/50*r**5 - 3 + 4/15*r**3. Factor c(d).
-2*(d + 2)*(9*d - 2)/5
Factor 31744/7*n + 10592/7*n**3 - 4536*n**2 - 4/7*n**4 - 10580/7.
-4*(n - 2645)*(n - 1)**3/7
Let c be (-22)/(-77)*-1 - 23/(-7). Find u, given that 10*u**c - 20*u**5 + 10*u**5 + 8*u**5 - 2*u**3 = 0.
-2, 0, 2
Let y = -50 - -55. Suppose 5*r = -5*q - y, 0 = -2*q - 82*r + 85*r + 13. Solve 9/5*l**q - 9/5*l**4 - 3/5*l**5 - 3/5*l**3 + 6/5*l + 0 = 0 for l.
-2, -1, 0, 1
Let s(d) be the second derivative of -d**4/9 - 308*d**3/9 - 302*d**2 + 1149*d - 1. Determine o so that s(o) = 0.
-151, -3
Factor -100*f**2 + 265*f**2 + 2*f - 89 - 2*f**3 - 43 - 33*f**2.
-2*(f - 66)*(f - 1)*(f + 1)
Let w(d) be the first derivative of 5*d**2/2 + 32*d + 8. Let m be w(-6). Suppose -4*j**2 - 2 - 2*j + 0 - 6*j - m = 0. What is j?
-1
Let z(k) be the third derivative of -1/35*k**5 + 0*k - 37/84*k**4 + 0 - 2/7*k**3 + 43*k**2. Suppose z(s) = 0. What is s?
-6, -1/6
Factor -228/7*d + 2/7*d**3 + 0 - 226/7*d**2.
2*d*(d - 114)*(d + 1)/7
Let h = -57/406 + 3419/1218. Let -17/6 - h*z + 1/6*z**2 = 0. What is z?
-1, 17
Let q = -100899/2 + 706299/14. Find a such that 9/7*a + q*a**4 - 9/7*a**3 - 33/7*a**2 + 30/7 = 0.
-2, -1, 1, 5
Solve -2/3*l**5 + 0 - 32/3*l**2 + 2/3*l**3 + 8/3*l**4 + 8*l = 0 for l.
-2, 0, 1, 2, 3
Suppose 5*o = -2*a + 23, -9*a + 2 = -11*a. Factor 4*s**o - 4*s**4 + 7128*s + 16*s**2 - 16*s**3 - 7128*s.
4*s**2*(s - 2)*(s - 1)*(s + 2)
Let v(y) be the first derivative of -y**5/40 + y**4/24 + y**3/12 - y**2/4 - 4*y - 58. Let g(x) be the first derivative of v(x). What is s in g(s) = 0?
-1, 1
Suppose 0 = -w - 4*i + 426, -3*w - i + 1424 = 168. Suppose 1172 - w = 2*s. What is g in 12*g**2 + 385 - s + 4*g**2 + 4*g**3 + 20*g = 0?
-2, -1
Let n(r) be the first derivative of -r**7/630 + r**6/24 + 15*r**2/2 - 180. Let s(o) be the second derivative of n(o). Factor s(d).
-d**3*(d - 15)/3
Suppose -142*z + 244 - 16 = -56. Let u(k) be the third derivative of -23*k**z + 0 - 1/15*k**5 + 0*k - 1/3*k**4 + 0*k**3. Factor u(g).
-4*g*(g + 2)
Let x(q) be the first derivative of -3*q**5/40 - 51*q**4/16 + 13*q**3/4 + 126*q - 65. Let h(v) be the first derivative of x(v). Factor h(b).
-3*b*(b + 26)*(2*b - 1)/4
Let r(a) = 45*a**2 + 3585*a + 3225. Let s(y) = -5*y**2 - 398*y - 357. Let q(d) = -4*r(d) - 35*s(d). Solve q(o) = 0 for o.
-81, -1
Let o(g) be the second derivative of -g**4/12 + 91*g**3/3 + 935*g**2/2 + 3*g - 25. Factor o(w).
-(w - 187)*(w + 5)
Let u(r) be the third derivative of 5 - 1/40*r**5 + 0*r - 9/8*r**4 - 5*r**2 - 81/4*r**3. Factor u(z).
-3*(z + 9)**2/2
Let b = 117 - 107. Suppose 3*k**4 + 25*k**5 + b*k**5 - 6*k**3 - 32*k**5 = 0. Calculate k.
-2, 0, 1
Let f(c) be the third derivative of -11/12*c**4 - 1/30*c**5 + 0*c**3 - c**2 + 5*c + 0. Solve f(a) = 0 for a.
-11, 0
Suppose 52*l = 57*l - 420. Determine g so that -117 + 117 - 32*g**3 - l*g - 72*g**2 - 164*g**2 = 0.
-7, -3/8, 0
Let 0 - 38/3*v - 1/3*v**2 = 0. What is v?
-38, 0
Suppose 0 = -13*n + 707 - 265. Let o be (-546)/(-595) + (n/(-5) - -6). Factor 2/17*y**3 + 0*y**2 + 0 - o*y.
2*y*(y - 1)*(y + 1)/17
Determine n so that 0 + 17/9*n**2 - 1/9*n**3 + 20/3*n = 0.
-3, 0, 20
Let q be (4/(20/(-15)))/(2/(-1212)). Let i = q + -12723