mine t so that u(t) = 0.
-6, -4, 0, 1
Let b(k) be the second derivative of -80*k + 9/4*k**5 - 5*k**2 - 5/6*k**4 - 15/2*k**3 + 0 + 2/3*k**6. Solve b(p) = 0.
-2, -1, -1/4, 1
Let y = 2/73 + 929/730. Let c = 6/5 + y. Solve -10 + c*x**3 + 45/2*x - 15*x**2 = 0 for x.
1, 4
Let n = -129625 + 129625. What is a in 18*a**2 - 108*a + 39/2*a**4 + n + 3/2*a**5 + 69*a**3 = 0?
-6, -2, 0, 1
Let r(m) be the second derivative of 63/40*m**5 + 1/28*m**7 - 18*m**2 + 7/4*m**4 - 2*m + 2/5*m**6 - 5*m**3 - 55. Find q such that r(q) = 0.
-3, -2, 1
Let n be (318/1325)/((3/25)/(19/95)). Find y, given that -8 - 24/5*y - n*y**2 = 0.
-10, -2
Let z(i) be the first derivative of -1/225*i**6 - 25 + 14*i - 1/90*i**4 + 0*i**2 + 0*i**3 - 1/75*i**5. Let x(o) be the first derivative of z(o). Factor x(s).
-2*s**2*(s + 1)**2/15
Let q(j) be the first derivative of -j**5/25 + 3*j**4/5 + j**3 - 13*j**2/5 - 2005. Factor q(l).
-l*(l - 13)*(l - 1)*(l + 2)/5
Let f(b) = -b**3 + 20*b**2 - 75*b + 2. Let w(g) = 2*g**3 - 46*g**2 - 45*g - 57. Let o be w(24). Let k be f(o). Factor -39/2*a**k - 3/2*a**4 - 9*a**3 - 18*a - 6.
-3*(a + 1)**2*(a + 2)**2/2
Let a(h) = 3*h**2 + 954*h + 31924. Let f be a(-280). Suppose 10/3*p**3 + 0*p**2 + 0 + 0*p - 1/6*p**f = 0. What is p?
0, 20
Let o(u) be the third derivative of -u**5/60 + 865*u**4/24 + 433*u**3/3 + 5816*u**2. Suppose o(w) = 0. Calculate w.
-1, 866
Factor 0 - 1/4*w**3 + 7/4*w**2 - 3/2*w.
-w*(w - 6)*(w - 1)/4
Let q(d) be the second derivative of -d**4/32 + 1519*d**3/16 + 4563*d**2/8 - 3*d + 2397. Determine n, given that q(n) = 0.
-2, 1521
Let z(a) = a**3 - 2*a**2 - 5*a + 3. Let j(t) = t**2 + 14*t + 17. Let l be j(-13). Let s be z(l). Factor 15*p - 20*p**2 + s*p**2 + 0*p.
-5*p*(p - 3)
Let n be (12 - (-9 + 25484/1449)) + (-2)/(-14). Find t such that n + 56/9*t**3 + 2/3*t**4 + 18*t**2 + 16*t = 0.
-4, -1, -1/3
Solve 2/19*j**4 + 100/19*j**3 + 0 + 462/19*j**2 + 540/19*j = 0 for j.
-45, -3, -2, 0
Let a be (-77)/2*(22 - -4). Let g = a + 5006/5. Suppose 3/5*y + g*y**4 + 1/5*y**3 - y**2 + 0 = 0. What is y?
-3, 0, 1
Let g(q) be the first derivative of -q**5 + 45*q**4/2 - 60*q**3 - 405*q**2 + 2025*q - 8744. Suppose g(p) = 0. Calculate p.
-3, 3, 15
Let v be (10/(-3))/(2/(-6)). Factor v + 27*d - 75*d**4 + 0*d**3 + 76*d**4 + 25*d**2 + 9*d**3.
(d + 1)**2*(d + 2)*(d + 5)
Suppose -l + p + 29 = -21, -l = -5*p - 42. What is w in -119*w**5 + 448*w**4 + 235*w**5 + 140*w**5 + 50*w**3 + 190*w**3 + l*w**2 + 4*w = 0?
-1, -1/4, 0
Suppose 167*p = 175*p - 8. Let o be p/2 + (-3)/(-6). Factor 1/2*r - 1/2*r**3 - o - 1/2*r**4 + 3/2*r**2.
-(r - 1)**2*(r + 1)*(r + 2)/2
Let c(i) = 14*i**2 + 282*i + 1716. Let a(z) = 41*z**2 + 841*z + 5146. Let f(x) = -4*a(x) + 11*c(x). Factor f(m).
-2*(m + 14)*(5*m + 61)
Let r(j) be the first derivative of 4*j**5 - 24*j**4 - 20*j**3 + 236*j**2 + 96*j - 68. Solve r(i) = 0.
-2, -1/5, 3, 4
Let i(a) be the second derivative of 3*a**2 - 11/6*a**3 - 1/30*a**6 - 2*a + 1/4*a**4 + 6 + 3/20*a**5. Solve i(w) = 0.
-2, 1, 3
Let d = 2782217/15 - 185481. Factor -2/15 + 4/15*x**2 + 2/15*x + 2/15*x**5 - d*x**4 - 4/15*x**3.
2*(x - 1)**3*(x + 1)**2/15
Let f(j) = -205*j**3 - 4720*j**2 - 11835*j - 40. Let z(v) = 16*v**3 + 363*v**2 + 911*v + 3. Let i(s) = -3*f(s) - 40*z(s). Determine p, given that i(p) = 0.
-11, -17/5, 0
Factor -83/2*v - 1/2*v**2 - 365.
-(v + 10)*(v + 73)/2
Let w(d) be the third derivative of -d**5/15 - 35*d**4/6 - 44*d**3 + 13*d**2 - 6*d. Factor w(o).
-4*(o + 2)*(o + 33)
Factor 247*i + 35*i**3 + 225*i**2 + 15320 - 37*i - 15520.
5*(i + 2)*(i + 5)*(7*i - 4)
Suppose -15*i = -10*i. Suppose i*q - 5*c = 4*q - 15, -5*q - c = -3. What is m in -1/3*m**3 + q + 0*m + m**2 = 0?
0, 3
Let h(x) be the second derivative of x**5/10 - 31*x**4/3 + 395*x**3/3 - 550*x**2 + 3*x - 613. Factor h(m).
2*(m - 55)*(m - 5)*(m - 2)
Let g(q) = -2*q**2 + 1768*q + 12474. Let h be g(-7). Factor -11/5*o**2 + h + 1/5*o.
-o*(11*o - 1)/5
Let 24 - 3/4*n**3 - 24*n**2 + 3/4*n = 0. Calculate n.
-32, -1, 1
Let a(y) be the second derivative of y**5/5 + 55*y**4/3 + 104*y**3/3 - 216*y**2 + 14*y - 88. Suppose a(m) = 0. Calculate m.
-54, -2, 1
Let q be (14942/2 - 3)*18/9. Suppose q + 11209 = 9*t. Factor t*w**2 + 0*w**3 - 2909*w**2 - 4*w**3.
-4*w**2*(w + 1)
Let z be 2 + (-8)/5 - 2/5. Suppose -2*s + 0 + 52 = z. Factor -19*c - 3*c - 113 - 79 - 3*c**2 - s*c.
-3*(c + 8)**2
Let c(a) = -3*a**3 + 39*a**2 - 63*a - 33. Let j be c(11). Factor j - 2*y + 3/2*y**3 - 1/2*y**4 + 0*y**2.
-y*(y - 2)**2*(y + 1)/2
Let u(f) be the third derivative of -f**5/30 + 17*f**4/12 - 14*f**3 + 46*f**2 + 2. Factor u(m).
-2*(m - 14)*(m - 3)
Determine g so that 4*g**2 + 11/3*g**3 - 15/2*g + 0*g**4 - 1/6*g**5 + 0 = 0.
-3, 0, 1, 5
Suppose 17 = w + 5*i - 20, 0 = 6*w + 2*i - 26. Determine a so that 13/3*a - 4/3*a**w - 3 = 0.
1, 9/4
Find u such that 1182/7*u**2 + 234/7 + 1406/7*u + 10/7*u**3 = 0.
-117, -1, -1/5
Factor 0 + 1875/2*l - 1/2*l**2.
-l*(l - 1875)/2
Suppose -13*j = -90 - 14. Factor 24*p - 24 + 3*p**2 - 32 + 13*p**2 + j*p**2 - 22*p**2.
2*(p - 2)*(p + 14)
Suppose q = -2*b, 3*b = -5*q + 6*q + 5. Let x be (2 + q)*((-7 - -4) + 4). Suppose 1/4*d**2 - 1/4*d**4 + 0*d + 0 + x*d**3 = 0. Calculate d.
-1, 0, 1
Let w(f) be the second derivative of f**4/12 - 17*f**3/6 + 15*f**2 - 1465*f. What is q in w(q) = 0?
2, 15
Let d be 6/(-198)*418/(-380). Let z(r) be the third derivative of -d*r**6 + 0*r**3 + 0*r**4 - 8/105*r**7 + 0*r**5 + 0*r + 0 + 2*r**2. Factor z(i).
-4*i**3*(4*i + 1)
Let b(u) be the first derivative of u**5/20 - 3*u**4/4 - 27*u**3/2 + u**2/2 + 32*u + 171. Let o(q) be the second derivative of b(q). Factor o(l).
3*(l - 9)*(l + 3)
Suppose 31*y - 19*y = 24. Let q(t) be the first derivative of -8*t**y - 4/15*t**5 - 2*t**4 - 52/9*t**3 - 16/3*t - 11. Factor q(j).
-4*(j + 1)**2*(j + 2)**2/3
Factor 2341159*k - 739 - 3*k**2 - 2340325*k + 2419.
-3*(k - 280)*(k + 2)
Let i(o) be the second derivative of o**4/84 - 67*o**3/42 + 561*o**2/7 + 2587*o - 1. Factor i(z).
(z - 34)*(z - 33)/7
Let t(x) be the second derivative of 0*x**2 + 4/25*x**6 + 1/42*x**7 - 2 + 127*x + 0*x**3 + 0*x**4 - 1/20*x**5. Factor t(h).
h**3*(h + 5)*(5*h - 1)/5
Let o(w) be the first derivative of -2*w**5/15 + 3*w**4/2 + 32*w**3/3 + 52*w**2/3 + 197. Factor o(v).
-2*v*(v - 13)*(v + 2)**2/3
Suppose -i + 4*i = 15, -2*i + 32 = 2*k. Suppose k*d - 5*d - 12 = 0. Find b, given that -4*b**2 + 6*b**2 + 3*b**d = 0.
0
Let d(j) = 9*j - 70. Suppose -5*u = 5*n - 60, 0 = -5*u + n + 3*n + 24. Let g be d(u). Factor -2/5 - 2/5*z**g + 4/5*z.
-2*(z - 1)**2/5
Factor 5/4*x**4 + 0 - 5/4*x**2 + 85/2*x - 85/2*x**3.
5*x*(x - 34)*(x - 1)*(x + 1)/4
Suppose -2*i + 345 = -7*i. Let s = i - -71. Determine z, given that 4*z + 7*z**3 - 4*z**s - 5*z**3 - 2*z = 0.
0, 1
Let -1/7*k**2 + 577/7*k + 1158/7 = 0. Calculate k.
-2, 579
Let g(m) = 5*m**4 + 70*m**3 - 2*m**2 - 118*m - 6. Let o(u) = -u**4 - 7*u**3 + u**2 + u + 1. Let j(c) = -g(c) - 6*o(c). Factor j(k).
k*(k - 28)*(k - 2)*(k + 2)
Suppose -3*v = -2*y - 17, 8*v - 3*v = -5*y - 55. Let h be (1/(-12))/(y/260). Factor -7/6*z**4 - 1/3 - 9/2*z**2 + h*z + 23/6*z**3.
-(z - 1)**3*(7*z - 2)/6
Let s = 9 + -6. Suppose 14*x = 16*x + 2, -r - 3*x - 1 = 0. Factor -2*n**4 + r*n**2 + n**3 - 3*n**s + 2*n**3.
-2*n**2*(n - 1)*(n + 1)
Let h(q) be the third derivative of q**8/84 - q**7/70 - 5*q**6/24 + q**5/6 + 3*q**4/2 + 4*q**3/3 + 55*q**2. Find v such that h(v) = 0.
-2, -1, -1/4, 2
Let g(d) be the third derivative of -d**8/3696 + d**7/42 - 43*d**6/220 + 101*d**5/165 - 25*d**4/33 + 1477*d**2. Let g(q) = 0. What is q?
0, 1, 2, 50
Suppose 754*x - 5068800 = 314*x - 884*x - 788*x. Factor -80*w - x - 2/3*w**2.
-2*(w + 60)**2/3
Let q(c) be the second derivative of c**6/10 - 39*c**5/5 - 107*c**4/4 - 27*c**3 + 1013*c. Factor q(n).
3*n*(n - 54)*(n + 1)**2
Let g(n) be the third derivative of -n**6/60 + 49*n**5/30 - 685*n**2. Factor g(t).
-2*t**2*(t - 49)
Let w be 0 + (5 - 1) + -2. Let j = 27/148 + 5/74. Find t, given that -j*t**w - 1/2*t + 0 = 0.
-2, 0
Let n(x) be the third derivative of -x**8/1176 + 23*x**7/735 - 11*x**6/140 - 191*x**5/210 + 17*x**4/42 + 8*x**3 - x**2 - 174*x. Find o, given that n(o) = 0.
-2, -1, 1, 4, 21
Let m = 80 + 344. Let t = m - 420. What is d in 0 + 1/6*d**5 + 3/2*d**3 + 1/3*d + 7/6*d**2 + 5/6*d**t = 0?
-2, -1, 0
Suppose -4*m**5 - 176/3*m**4 + 320*m**2 - 172*m**3 - 256/3*m + 