4 + 0*j - 3/7*j**5 - 9000/7*j**3 + 0. Factor x(u).
2*(u - 30)**3/7
Solve -86487102/17*p**4 + 124*p - 2/17 - 741312/17*p**2 + 87226308/17*p**3 = 0 for p.
1/351, 1
Solve -91*w - 313*w + 45*w**4 + 684 - 1821*w**2 + 399*w**3 - 481*w - 606*w = 0 for w.
-12, -1, 1/3, 19/5
Let r(d) be the second derivative of 10*d**7/147 - 62*d**6/105 + 71*d**5/35 - 73*d**4/21 + 64*d**3/21 - 8*d**2/7 - 1045*d. Solve r(a) = 0 for a.
1/5, 1, 2
Let u(d) be the first derivative of -28*d**5/5 - 271*d**4 + 340*d**3/3 + 542*d**2 - 312*d + 2144. Solve u(k) = 0 for k.
-39, -1, 2/7, 1
Let p be 0/(9/((-36)/(-8))). Suppose 0 = 2*k + 2*u - 6 - 2, -k - 2*u + 4 = p. Solve 30*c**k - 3*c**2 + 19*c**5 + c**3 - 4*c**3 - 18*c**5 - 25*c**5 = 0.
-1/4, 0, 1/2, 1
Let p = 7583/60 - 505/4. Let d = 897/4 - 13423/60. Factor d*o - 2/15 + 8/15*o**3 - p*o**4 - 4/5*o**2.
-2*(o - 1)**4/15
Let l = -1621/10 + 813/5. Let f(i) be the first derivative of -12/5*i**5 - 3*i**4 + 15/2*i**2 - l*i**6 + 9 + 6*i + 2*i**3. Factor f(c).
-3*(c - 1)*(c + 1)**3*(c + 2)
Suppose -4*h + 35 = -5*z - 13, -h - 4*z + 12 = 0. Let o be (h/10 - 1) + (-30)/400. Find c such that -o*c**2 - 1/8*c + 0 = 0.
-1, 0
Factor 1/3*q**3 + 0 - 50/3*q**2 + 16*q + 1/3*q**4.
q*(q - 6)*(q - 1)*(q + 8)/3
Let m(y) = -4*y**3 - 22*y**2 - 2*y + 10. Let i(q) = 5*q**3 + 21*q**2 + 4*q - 8. Let r(a) = 3*i(a) + 2*m(a). Suppose r(c) = 0. Calculate c.
-2, -1, 2/7
Suppose -4*s + 2/15*s**2 - 62/15 = 0. Calculate s.
-1, 31
Let q = -253944 + 507891/2. Solve q*a**2 - 3/2*a**5 - 3/2*a**4 + 3/2*a**3 + 0*a + 0 = 0 for a.
-1, 0, 1
Let y(u) be the third derivative of u**6/840 + 27*u**5/280 + 13*u**4/28 + 157*u**3/6 + 74*u**2 + u. Let r(j) be the first derivative of y(j). Solve r(a) = 0.
-26, -1
Let y(i) = -2*i**3 - 14*i**2 + 16*i. Let b be -15 - (0 + -7) - -3. Let v(l) = -3*l**3 - 13*l**2 + 16*l. Let h(k) = b*y(k) + 4*v(k). Factor h(d).
-2*d*(d - 8)*(d - 1)
Let y(u) be the third derivative of u**7/210 + 883*u**6/30 + 779689*u**5/10 + 688465387*u**4/6 + 607914936721*u**3/6 + 3648*u**2. Determine g so that y(g) = 0.
-883
Let t(o) be the second derivative of -o**4/6 - 47*o**3/3 + 48*o**2 - 104*o - 5. Factor t(g).
-2*(g - 1)*(g + 48)
Let a = 443 + -287. Suppose a = w + 2*w. Factor -10 - 4 - 4 + 2 - 12*x**2 + w*x.
-4*(x - 4)*(3*x - 1)
Let v(u) be the first derivative of -u**4/2 + 56*u**3/3 - 53*u**2 + 52*u + 551. Solve v(w) = 0.
1, 26
Let r be (-9)/(-54) - 143/(-6). Let t be r/(-18)*(-12)/8. Factor -i**3 - 14*i**5 - 27*i**4 + i**5 + i**5 - 3*i**t - 17*i**3.
-3*i**2*(i + 1)**2*(4*i + 1)
Let x(p) be the first derivative of -2*p**4 + 32/3*p**3 - 4/5*p**5 + 0*p + 0*p**2 + 46. Factor x(w).
-4*w**2*(w - 2)*(w + 4)
Let q(x) = -67*x - 27 + 15*x**3 - 6*x**3 + 37*x**2 + 298*x - 9*x**3 + x**3. Let j be q(-29). Find r, given that -1/4*r**j + 0*r + 1 = 0.
-2, 2
Let i be (-25)/6*4634/(-1655). Let t(j) be the first derivative of -10*j + i*j**3 - 25/2*j**2 - 16. Solve t(d) = 0.
-2/7, 1
Let i(a) be the first derivative of 2/15*a**3 + 61 - 14/5*a + 6/5*a**2. Determine f so that i(f) = 0.
-7, 1
Let i be (-709*(4 - 5))/1. Let v = i + -707. Suppose 2/9*g**5 - 2/9*g**4 + 0*g + 0 + 0*g**v - 4/9*g**3 = 0. What is g?
-1, 0, 2
Let b(y) be the third derivative of -y**7/15 + 19*y**6/60 - 4*y**5/15 - y**4/3 + 2*y**2 + 3*y. Factor b(k).
-2*k*(k - 2)*(k - 1)*(7*k + 2)
Let v = 54 - 363/7. Let d be (34/22 - -2) + (4410/(-539))/15. Let -3*m**2 - 6/7*m - v*m**d + 0 = 0. Calculate m.
-1, -2/5, 0
Let y(l) be the second derivative of 1/6*l**3 + 11*l + 3 - 1/36*l**4 + 5/3*l**2. Factor y(o).
-(o - 5)*(o + 2)/3
Let z = 17252/15 + -3442/3. Factor -z*b + 6/5*b**2 - 12/5.
2*(b - 3)*(3*b + 2)/5
Let i(u) be the third derivative of -u**7/735 + 69*u**6/140 + 209*u**5/210 - 69*u**4/28 - 208*u**3/21 - 6610*u**2. Find d such that i(d) = 0.
-1, 1, 208
Let g(l) be the first derivative of l**3 + 111*l**2 - 456*l + 1204. Factor g(o).
3*(o - 2)*(o + 76)
Let c(z) be the second derivative of -1/15*z**6 + 3*z + 0*z**2 + 0 + 1/6*z**7 + 5/3*z**4 - 21/20*z**5 - 2/3*z**3. Let c(x) = 0. What is x?
-2, 0, 2/7, 1
Let c(p) be the first derivative of -136 + 8/27*p**3 - 1/18*p**4 - 8/9*p + 1/9*p**2. Let c(l) = 0. What is l?
-1, 1, 4
Let k(m) be the first derivative of -m**6/4 - 11*m**5/30 + 17*m**4/12 + 22*m**3/9 + 2*m**2/3 + 4556. Determine q so that k(q) = 0.
-2, -1, -2/9, 0, 2
Let y(d) be the third derivative of d**8/392 + 23*d**7/245 + 163*d**6/140 + 361*d**5/70 + 80*d**4/7 + 100*d**3/7 + 1116*d**2. Find w such that y(w) = 0.
-10, -1
Let h(c) be the third derivative of c**5/360 - 49*c**4/16 + 110*c**3/9 + 3054*c**2. Factor h(i).
(i - 440)*(i - 1)/6
Let l be (2/2)/(10 + (16 - (-204)/(-8))). Let v(w) be the second derivative of 0 + 1/30*w**4 - 1/15*w**3 - 2/5*w**l - 20*w. Find c, given that v(c) = 0.
-1, 2
Let q = 8811 + -58245/7. Let i = 492 - q. Factor -18/7*k**2 - 12/7*k - i*k**3 - 3/7*k**4 - 3/7.
-3*(k + 1)**4/7
Factor 54/5*y**2 - 152 + 2/5*y**3 + 264/5*y.
2*(y - 2)*(y + 10)*(y + 19)/5
Suppose 3*x - 4*p = 9, 4*x - 2*p - 1063 = -1051. Let j(m) be the first derivative of -1/9*m**x + 7/6*m**2 + 8 - 10/3*m. Suppose j(u) = 0. What is u?
2, 5
Find p, given that 53/7*p**2 - 52/7*p**3 - 1/7*p**4 + 0 + 0*p = 0.
-53, 0, 1
Let n = -490 - -514. Suppose -158*y**2 + 14*y**4 - n*y**5 + 1 - 43*y**5 - 112*y + 77*y**5 - 66*y**3 - 25 = 0. What is y?
-2, -1, -2/5, 3
Let g = 2377/732 + -193/61. Let c(w) be the first derivative of 0*w + 38 - g*w**4 - 1/2*w**2 - 4/9*w**3. Solve c(z) = 0.
-3, -1, 0
Let w(c) be the first derivative of c**6/6 - c**5/5 - 3*c**4/4 + c**3/3 + c**2 + 1377. Determine a, given that w(a) = 0.
-1, 0, 1, 2
Suppose 1044*u + 3132*u**4 - 264 - 561*u**3 + 3154*u**4 + 774*u**2 - 6313*u**4 = 0. Calculate u.
-22, -1, 2/9, 2
Factor 256*q - 3 + q**2 - 134*q - 165*q + 123.
(q - 40)*(q - 3)
Suppose 23 = -54*l + 136 - 5. Solve -5/4*d - 1/4*d**l - 3/2 = 0 for d.
-3, -2
Suppose 5*w + 63*y - 86*y - 293 = 0, -4*y = 2*w + 28. Find d such that -7/2*d**2 - 1/2*d**3 - 6 - w*d = 0.
-3, -2
Solve 356 - 1631 - 581 + 116*f**3 + 48*f**2 - 5056*f + 4*f**4 - 8*f**4 + 3728*f = 0 for f.
-2, 4, 29
Let x(n) be the third derivative of -49*n**6/240 + 3311*n**5/120 - 235*n**4/6 + 67*n**3/3 + 2089*n**2. Factor x(d).
-(d - 67)*(7*d - 2)**2/2
Let b(g) be the third derivative of 6*g**2 + 4*g**3 - 7/30*g**5 - 1/3*g**4 - 1/60*g**6 + 0 - g. Factor b(m).
-2*(m - 1)*(m + 2)*(m + 6)
Let c(o) = -o**3 + 4*o**2 + 3*o. Let d be c(-3). Suppose 18*u - d = -18. Factor -96*r + r**4 + 72*r**2 + 31*r**3 + 48 - 55*r**3 + u*r**4.
3*(r - 2)**4
Solve -2*v**5 - 2*v**2 + 156*v - 82*v**3 + 28*v**2 - 122*v**3 + 56*v**2 + 50*v**3 - 82*v**4 = 0 for v.
-39, -2, -1, 0, 1
Suppose -1441*g - 272 = -3*y - 1442*g, 5*y + 5*g = 460. Factor -168*j + 392/5*j**2 + y.
2*(14*j - 15)**2/5
Let n(l) be the third derivative of -l**7/42 - 115*l**6/6 - 8425*l**5/2 + 675625*l**4/6 - 6903125*l**3/6 + 62*l**2 - 6. What is x in n(x) = 0?
-235, 5
Factor -x**3 - 88*x**2 + 8*x**3 - 25*x**3 + 10*x**3 + 4*x**3 - 444*x - 360.
-4*(x + 1)*(x + 6)*(x + 15)
Let a be (-2)/4*(282/12 - 22)/((-9)/24). Solve -16*y - 6*y**3 + 8/3 + 43/6*y**4 - 88/3*y**a + 5/2*y**5 = 0.
-2, -1, 2/15, 2
Solve 1527/8*w - 3/2*w**3 + 153/4 + 1209/8*w**2 = 0.
-1, -1/4, 102
Let n(d) = -52*d**2 + 366*d - 6. Let o be n(7). Let m(p) be the first derivative of -p**4 - 4*p**3 - 6 - o*p + 4/5*p**5 + 10*p**2. Factor m(a).
4*(a - 1)**3*(a + 2)
Let d(m) be the second derivative of -13/3*m**4 - 16*m + 3*m**5 - 4/3*m**3 + 0*m**2 - 2. Suppose d(z) = 0. Calculate z.
-2/15, 0, 1
Let d = 214 + -210. Factor -4*y**d + 7*y**2 - 3*y**3 + 7*y**2 + y**5 - 2786*y + 2778*y.
y*(y - 4)*(y - 1)**2*(y + 2)
Factor 0 - 2/7*o**3 - 298/7*o**2 - 1160/7*o.
-2*o*(o + 4)*(o + 145)/7
Let s = 1249 - 1242. Suppose 4*l - 2 = -s*m + 5*m, 4*l = 3*m + 17. Factor 1/4*f**3 + 3/4*f**l + 3/4*f + 1/4.
(f + 1)**3/4
Let c(x) be the third derivative of -3/100*x**6 + 2/525*x**7 - 11/75*x**5 + 8/5*x**3 - 10*x**2 + 0*x + 3 + 1/15*x**4 + 1/840*x**8. Factor c(s).
2*(s - 3)*(s - 1)*(s + 2)**3/5
Let m(d) be the first derivative of -d**5/15 - 11*d**4/12 - 26*d**3/9 - 8*d**2/3 + 210. Factor m(w).
-w*(w + 1)*(w + 2)*(w + 8)/3
Solve 33*o**2 + 72*o + 36 - 7/3*o**4 - 17/3*o**3 + 1/3*o**5 = 0.
-3, -1, 6
Let 4*s**3 - 53*s - 9*s**3 + s**4 + 134*s + 2*s**2 - 73*s = 0. Calculate s.
-1, 0, 2, 4
Let n = -2590 - -2592. Let j(