84*o**3/9 - 64*o**2 + 2762*o. What is f in b(f) = 0?
-4, -2, 6, 8
Let j be (3 + -8 - -13) + -5. Let r be ((-11)/4 + j)*(-288)/(-66). Suppose 0 + r*y**3 - 2/11*y**4 - 18/11*y**2 + 0*y = 0. Calculate y.
0, 3
Factor -6/5 - 3/5*i**3 + 16/5*i**2 + 13/5*i.
-(i - 6)*(i + 1)*(3*i - 1)/5
Let j(k) be the first derivative of -2*k**6/3 - 24*k**5/5 + 79*k**4 - 640*k**3/3 - 72*k**2 + 832*k + 1482. Determine o, given that j(o) = 0.
-13, -1, 2, 4
Suppose -16*j + 4 + 44 = 0. What is v in 2*v**4 - j + 6 + 2*v**2 + 21 - 32*v - 4*v**4 + 8*v**3 = 0?
-2, 1, 2, 3
Suppose -178*p + 3906 = 17*p - 1164. Let q(w) be the first derivative of -2/65*w**5 + 0*w - 2/13*w**3 - 2/13*w**4 + 0*w**2 - p. Factor q(y).
-2*y**2*(y + 1)*(y + 3)/13
Let i(x) be the second derivative of x**5/80 - 11*x**4/32 - 49*x**2 + 156*x. Let j(o) be the first derivative of i(o). Let j(g) = 0. What is g?
0, 11
Let f(a) = a**5 - a**3 + a**2 - a. Let w be (-5)/(25/(-2)) - 8/(-5). Let u(z) = 3*z**5 + 2*z**4 - 3*z**3 - 2*z. Let q(j) = w*f(j) - u(j). Factor q(d).
-d**2*(d - 1)*(d + 1)*(d + 2)
Let b(q) be the third derivative of q**8/42 - 62*q**7/21 + 23713*q**6/240 + 403*q**5/4 + 507*q**4/16 - 24*q**2 - 9*q + 1. Find f such that b(f) = 0.
-1/4, 0, 39
Suppose 0 = 9*q - 38 - 7. Suppose -q = -4*s + 35. Let b**3 - s*b + 27*b + 6*b**2 - 13*b - b**2 = 0. Calculate b.
-4, -1, 0
Let x be (-2)/39*(-12*(-24)/432 - 5). Factor -22/9*u**2 - 10 + x*u**3 + 26/3*u.
2*(u - 5)*(u - 3)**2/9
Suppose q + 41 + 88 = 5*m, -m + 17 = 2*q. Factor -22 + 23 + 29 + 23 + m*w - 7 + w**2.
(w + 2)*(w + 23)
Let n(c) be the first derivative of 10 + 0*c + 7/2*c**4 + 1/5*c**5 + 20*c**2 + 44/3*c**3. Factor n(o).
o*(o + 2)**2*(o + 10)
Let b(h) = -8*h**3 + 252*h**2 - 72*h - 1044. Let d(f) = 15*f**3 - 506*f**2 + 122*f + 2087. Let z(p) = 7*b(p) + 4*d(p). Factor z(m).
4*(m - 65)*(m - 2)*(m + 2)
Let p(t) = t + 6. Let z be p(-2). Suppose -z*h = -5 - 15. Factor 4*c**2 + h*c + c**3 + 14*c**3 + 11*c**2 + 5*c**4.
5*c*(c + 1)**3
Find q, given that 53/2*q**4 + 0 - 702*q**3 + 2809/4*q - 53/2*q**2 - 1/4*q**5 = 0.
-1, 0, 1, 53
Let w = 138 - 108. Factor -w*f - 6*f**2 - 6*f**2 + 15*f + 3*f**3.
3*f*(f - 5)*(f + 1)
Let p(m) be the first derivative of -3*m**4/4 + 11*m**3 + 189*m**2 - 644. Solve p(q) = 0 for q.
-7, 0, 18
Let u(f) = -7*f - 68. Let q be u(-10). Factor -10*l**2 - 15 - 3*l**3 - 7*l**2 - 2*l**2 - 33*l - q*l**2.
-3*(l + 1)**2*(l + 5)
Suppose 472*k - 1247*k = 378*k + 811*k. Factor k - 66/23*r + 2/23*r**2.
2*r*(r - 33)/23
Let z(y) be the second derivative of -y**6/105 - y**5/70 + 8*y**4/21 - 20*y**3/21 + 98*y + 3. Factor z(j).
-2*j*(j - 2)**2*(j + 5)/7
Let w(z) be the second derivative of z**4/12 + 167*z**3/6 + 83*z**2 + 2236*z. Let w(t) = 0. Calculate t.
-166, -1
Let h(z) = z**2 + z - 4. Let r(f) = -8*f**2 + 368*f - 352. Let g(l) = -4*h(l) - r(l). Solve g(c) = 0 for c.
1, 92
Let q(p) be the first derivative of -p**5/40 + 7*p**4/8 - 6*p**3 - 53*p**2/2 + 100. Let a(l) be the second derivative of q(l). Solve a(g) = 0 for g.
2, 12
Let b(v) be the third derivative of -v**5/60 + 155*v**4/12 - 103*v**3/2 + 1669*v**2. Find a, given that b(a) = 0.
1, 309
Let k(s) = -s**2 - 8*s - 56. Let l be k(-17). Let d be 2/19 - 396/l. Let -3/2*q + 9/2 + 1/8*q**d = 0. Calculate q.
6
What is t in 76/3*t**2 + 2/3*t**3 + 192 + 134*t = 0?
-32, -3
Determine v, given that -1/3*v**3 + 24*v - 7*v**2 + 0 = 0.
-24, 0, 3
Determine o, given that 93/5*o**2 + 84/5*o - 3/5*o**4 + 6/5*o**3 + 0 = 0.
-4, -1, 0, 7
Suppose 0 = 46*v - 54*v + 16. Factor 5*a**4 - a**4 + 184*a**3 + 2304 + 2063*a**2 - 4416*a - 139*a**v + 0*a**4.
4*(a - 1)**2*(a + 24)**2
Suppose 2 = -o - 0*o + 2*y, -2*o + 2*y = -2. Suppose 10*q - o*q - 12 = 0. Factor -3 + q*x - 1/3*x**2.
-(x - 3)**2/3
Let h(n) be the second derivative of -n**5/120 + 5*n**4/24 - 31*n**3/18 + 4*n**2 - n - 1073. Find a, given that h(a) = 0.
1, 6, 8
Let d = 1247 - 660. Let h = d - 585. Factor 6/5 - 2/5*b**3 + 2*b + 2/5*b**h.
-2*(b - 3)*(b + 1)**2/5
Let i(f) be the third derivative of -f**8/672 - f**7/7 - 479*f**6/120 - 29*f**5/2 - 841*f**4/48 + 3*f**2 - 29. Factor i(p).
-p*(p + 1)**2*(p + 29)**2/2
Let a = -156 - -179. Factor -a*b - 3*b**2 - 19*b + 36*b.
-3*b*(b + 2)
Suppose 42*a**3 + 0*a**3 - 2 - 447*a + 47 + 94*a**2 + 281*a**2 - 15*a**3 = 0. What is a?
-15, 1/9, 1
Suppose 189*u = 188*u + 2. Let g(k) be the second derivative of 2/15*k**6 + 0*k**u + 25*k + 0 + 0*k**3 - 2/5*k**5 + 2/7*k**7 + 0*k**4. Factor g(z).
4*z**3*(z + 1)*(3*z - 2)
Let b be (13 - (1 - 4))/(3/(-72)). Let i = 386 + b. Let 2/3*s + 4/3*s**i - 2/3*s**3 - 4/3 = 0. What is s?
-1, 1, 2
Determine p so that -4 - 60*p**2 + 31*p**3 + 61/4*p**4 - 124*p = 0.
-2, -2/61, 2
Let k(b) be the second derivative of 1/18*b**4 - 1/27*b**3 - 2*b - 12 + 0*b**2. Factor k(o).
2*o*(3*o - 1)/9
Factor 219*o**2 - 38861*o + 106*o**3 + 231*o**2 - 5154*o**4 + 5156*o**4 - 12389*o - 687500.
2*(o - 22)*(o + 25)**3
Let d(k) be the third derivative of 2*k**7/105 + k**6/3 + 3*k**5/5 - k**2 + 678*k. What is z in d(z) = 0?
-9, -1, 0
Let o(u) = 177*u - 27. Let g be o(-4). Let h be g/(-175)*4/6. Solve 8/5*i + 32/5*i**2 + 0 + 24/5*i**5 - 10*i**4 - h*i**3 = 0.
-2/3, -1/4, 0, 1, 2
Find q such that -452/5 - 6/5*q**2 - 226/5*q**3 + 682/5*q + 2/5*q**4 = 0.
-2, 1, 113
Let l(q) be the first derivative of 2*q**4/3 - 4*q**3/9 - 14*q**2/3 + 8*q - 865. Factor l(c).
4*(c - 1)*(c + 2)*(2*c - 3)/3
Let x(u) = 4*u**2 + 8*u. Suppose 124 = 5*b + 9. Let o = -21 + b. Let v(a) = -21*a**2 - 40*a. Let j(f) = o*v(f) + 11*x(f). Factor j(t).
2*t*(t + 4)
Let j(f) be the second derivative of -f**6/6 + 39*f**5/4 + 635*f**4/12 - 65*f**3/2 - 315*f**2 + 318*f. Suppose j(q) = 0. What is q?
-3, -1, 1, 42
Let n be 382*(44/12)/((-2)/(-3)). Factor 4*q**2 + 11*q - 2037 - 79*q + n.
4*(q - 16)*(q - 1)
Find n such that 6/7*n**2 + n**4 - 23/7*n**3 + 0 + 0*n = 0.
0, 2/7, 3
Let 4*v + 1 + 15/4*v**4 - 19/4*v**2 + 27/4*v**5 - 43/4*v**3 = 0. Calculate v.
-1, -2/9, 2/3, 1
Suppose 88 = -0*w + 11*w. Let k = 44 + -30. Factor -8*o**3 - 6*o - 4*o + k*o - 4 - 4*o**4 + 4*o**5 + w*o**2.
4*(o - 1)**3*(o + 1)**2
Suppose -5*d = 4*h - 316, -83 - 329 = -5*h - 2*d. Let m be (-6)/(-9)*h/98. Factor 0 - 1/7*j**3 + m*j**2 - 4/7*j.
-j*(j - 2)**2/7
Let j(z) = -z**2. Suppose 6*n + 60 = 2*n. Let t = 33 + n. Let m(b) = -10*b**2 + 12*b - 36. Let q(u) = t*j(u) - 2*m(u). Solve q(v) = 0.
6
Let s(v) be the third derivative of -v**8/120960 - v**7/10080 - 19*v**5/20 + 4*v**2 - 8*v. Let x(t) be the third derivative of s(t). Factor x(i).
-i*(i + 3)/6
Let z(n) be the first derivative of 2*n**5/25 - 2*n**4 + 74*n**3/15 - 18*n**2/5 + 744. Factor z(p).
2*p*(p - 18)*(p - 1)**2/5
Let c be 25/9 - 6/(-27). Let b be ((-12)/(-2))/((-6)/(-4)) + 121. Factor -64*f**3 - b*f - 66*f**3 + 125*f**c - 50*f**2.
-5*f*(f + 5)**2
Let x be (-79 + 79)/(234/(-39)). What is m in -54/19*m**2 + x + 4/19*m = 0?
0, 2/27
Let w(a) = -2*a**3 + 52*a**2 - 218*a + 302. Let v = -386 + 388. Let i(r) = 5*r**3 - 156*r**2 + 653*r - 907. Let d(l) = v*i(l) + 7*w(l). Factor d(z).
-4*(z - 5)**2*(z - 3)
Find v such that -3*v + 53*v + 23*v - 95*v**2 + 5*v**3 + 97*v = 0.
0, 2, 17
Let m = -5645/159 + 1917/53. Suppose -24 - m*t**2 - 74/3*t = 0. Calculate t.
-36, -1
Let t(y) = y**4 - y**2 - y. Let d(p) = -2*p**4 - 6*p**3 + 10*p**2 + 2*p. Let n(m) = -d(m) - 4*t(m). Factor n(z).
-2*z*(z - 1)**3
Let t(u) = -10*u - 198. Let z be t(-20). Factor -5195 + 4*g**3 - 4454 - 4751 + 14880*g - 484*g**z.
4*(g - 60)**2*(g - 1)
Let d(f) = -f**2 - 2. Let o = -302 - -303. Let l(h) = h**2 - 6*h - 49. Let i(y) = o*l(y) - 2*d(y). Solve i(q) = 0 for q.
-3, 5
Suppose -4*u - 3*p + 47 = 0, u + 510 = 4*p + 460. Let j = 4 - 4. Determine a so that 4/11*a**u + j*a + 0 + 2/11*a**3 = 0.
-2, 0
Let h(l) = -9*l**3 - 12*l**2 - 105*l - 90. Let t(u) = 25*u**3 + 37*u**2 + 316*u + 270. Suppose 177 - 211 = 2*r. Let m(f) = r*h(f) - 6*t(f). Factor m(s).
3*(s - 10)*(s + 1)*(s + 3)
Let b be 1*(-21 + (-1792)/(-84)). Suppose -10/3*o + b*o**2 + 0 = 0. Calculate o.
0, 10
Let r = -213641/27 + 7913. Let c(u) be the third derivative of 1/135*u**5 + 0*u + 0 - r*u**3 + 2/27*u**4 + 12*u**2. Factor c(m).
4*(m - 1)*(m + 5)/9
Let s(t) be the first derivative of 0*t - 1/12*t**4 + 1/15*t**5 + 15 + 0*t**2 - 2/9*t**3. Find y such that s(y) = 0.
-1, 0, 2
Let g(v) = -3*v + 15. Let s be g(-4). Factor s*z**3 + 92 - 3*z**5 -