+ 4*d**3 + 10*d**2 = 0.
0, 1, 4
Let p(g) be the third derivative of -1/12*g**5 + 22*g**2 + 5/24*g**4 + 0 + 0*g + 5/6*g**3 - 1/24*g**6. Factor p(i).
-5*(i - 1)*(i + 1)**2
Let r(x) be the third derivative of 0*x**3 + 47/21*x**7 + 0 + 13/6*x**6 + 25/48*x**8 + 2/3*x**5 + 0*x**4 + 6*x**2 + 0*x. Solve r(m) = 0.
-2, -2/5, -2/7, 0
Let h(j) be the second derivative of 15*j + 9/70*j**7 + 0 - 3/4*j**5 - 14/5*j**3 + 11/50*j**6 - 6/5*j**2 - 51/20*j**4. Find g such that h(g) = 0.
-1, -2/9, 2
Let j(k) = k**2 + k + 1. Let z(q) = -3*q**3 + 18*q**2 - 33*q - 3. Let i(b) = -3*j(b) - z(b). Let i(t) = 0. Calculate t.
0, 2, 5
Let a = -63081/1540 + 833/20. Let o = a + 5/11. Factor 2/7*y**2 + o*y + 8/7.
2*(y + 2)**2/7
Let c = 986/2967 + 1/989. Let f(q) be the third derivative of 8*q**2 + 2/3*q**3 + 0*q + 1/12*q**5 + 0 - c*q**4 - 1/120*q**6. Let f(v) = 0. What is v?
1, 2
Find l such that -l + l - 3*l - 5*l + 26*l**2 - 18*l**3 = 0.
0, 4/9, 1
Let w(h) = -h + 9. Let v be w(9). Let j(k) be the third derivative of 0*k + v - 9/40*k**6 - 13/8*k**4 + k**5 + k**3 + 7*k**2. Factor j(g).
-3*(g - 1)**2*(9*g - 2)
Suppose -31*j - 68 + 161 = 0. Factor 0 - 20/7*k**j + 16/7*k**4 + 4/7*k**2 + 0*k.
4*k**2*(k - 1)*(4*k - 1)/7
Suppose -3*c + 11*c + 48 = 80. Solve 12/7*s**3 + 20/7*s - 2/7*s**c - 6/7 - 24/7*s**2 = 0.
1, 3
Let i(p) be the first derivative of 10 + 0*p - 1/15*p**3 + 0*p**2. Factor i(y).
-y**2/5
Let i be 6 - (-1)/4*-4. Let b(x) be the second derivative of 0*x**2 - 1/16*x**4 + 0 - 9/80*x**i + 1/4*x**3 - 2*x. Solve b(d) = 0 for d.
-1, 0, 2/3
Find a, given that -29*a**3 + 4*a - 16*a**4 + 408*a**2 + 29*a**3 - 368*a**2 - 4*a**5 - 24 = 0.
-3, -2, -1, 1
Let i(f) be the first derivative of 4*f**3/15 - 96*f**2/5 + 2304*f/5 - 436. Find v such that i(v) = 0.
24
Suppose -6*t**3 + 27*t + 5333*t**2 + 153*t**3 - 5459*t**2 = 0. Calculate t.
0, 3/7
Let x(z) be the third derivative of 0*z + 0*z**4 + 1/240*z**6 - 13*z**2 + 0 + 0*z**5 - 1/168*z**7 + 0*z**3. Let x(v) = 0. What is v?
0, 2/5
Let j(g) = g**2 + 14*g - 9. Let a(f) = -f**2 - 26*f + 17. Let z(y) = 3*a(y) + 5*j(y). What is l in z(l) = 0?
1, 3
Let c be (1/7)/((-2)/(-8)). Let y be (12/(-147))/((-12)/42). Determine f, given that 0 + y*f**3 - c*f**2 + 2/7*f = 0.
0, 1
Let p(u) = -4*u**2 + 4*u + 3. Let f(b) = -b. Let j(y) = -5*f(y) - p(y). Factor j(a).
(a + 1)*(4*a - 3)
Let z = -15 - -17. Let m(u) be the second derivative of -5*u + 0 + 1/30*u**4 - 1/5*u**3 + 2/5*u**z. Factor m(y).
2*(y - 2)*(y - 1)/5
Let l(d) be the first derivative of d**6/30 - d**5/5 + 9*d**4/20 - 7*d**3/15 + d**2/5 + 61. Factor l(a).
a*(a - 2)*(a - 1)**3/5
Let y = -15 + 18. Let z be (0 - 12/8)/(y/(-8)). Factor 1/4*a**z - 1/2*a + 1/2*a**3 - 1/4*a**2 + 0.
a*(a - 1)*(a + 1)*(a + 2)/4
Let d be (-1266)/10*2/(-3). Let c = d + -3748/45. Let 0 - 14/9*i**3 + 4/9*i + c*i**2 = 0. What is i?
-2/7, 0, 1
Let p(u) be the third derivative of 0*u + 1/156*u**4 + 0 - 1/195*u**5 + 1/780*u**6 + 0*u**3 - 10*u**2. What is k in p(k) = 0?
0, 1
Let t(j) be the third derivative of 0*j**6 + 1/490*j**7 - 3/140*j**5 + 1/28*j**4 + 0 + 0*j**3 + 0*j - 18*j**2. Factor t(a).
3*a*(a - 1)**2*(a + 2)/7
Let o(j) be the second derivative of j**6/10 - 53*j**5/10 - 215*j**4/36 - 2*j**3 + 59*j. Factor o(p).
p*(p - 36)*(3*p + 1)**2/3
Suppose -17*o + 3*j = -13*o - 12, -4*j - 16 = 0. Factor o + 8/19*r + 2/19*r**4 + 16/19*r**2 + 10/19*r**3.
2*r*(r + 1)*(r + 2)**2/19
Let c(z) be the first derivative of z**6/8 - 21*z**5/20 + 27*z**4/8 - 11*z**3/2 + 39*z**2/8 - 9*z/4 + 83. Factor c(b).
3*(b - 3)*(b - 1)**4/4
Solve -26/23*c + 70/23*c**2 + 2/23 + 98/23*c**3 = 0 for c.
-1, 1/7
Let k be ((-90)/(-12))/(((-36)/(-51))/(-4)). Let n = k - -45. Factor -n*z**4 + 0*z - 5/2*z**5 + 0*z**2 + 0*z**3 + 0.
-5*z**4*(z + 1)/2
Let i(h) be the second derivative of h**6/150 + h**5/25 + h**4/15 - 203*h. Factor i(u).
u**2*(u + 2)**2/5
Suppose -15/4*w + 1/4*w**3 - 7/2*w**2 + 0 = 0. Calculate w.
-1, 0, 15
Suppose -4*h + 4 = -0*n - 4*n, 2*n = -5*h + 19. Factor -4/9*k**n + 0 - 2/9*k**3 - 2/9*k.
-2*k*(k + 1)**2/9
Solve -370*x**2 - 495*x**2 - 224*x**2 + 66*x**3 - x**4 = 0.
0, 33
Let h(j) = j + 17. Let i be h(-14). Let d be 15/(-45) - (-55)/i. Find u such that -64*u**2 - 12*u**3 + d + 48*u**2 + 0*u**4 + 12*u - 2*u**4 = 0.
-3, -1, 1
Let d(b) be the third derivative of -b**6/200 + 9*b**5/20 + 24*b**4/5 + 98*b**3/5 + 245*b**2. Determine a, given that d(a) = 0.
-2, 49
Let s be (-1820)/(-420)*12/39. Find o, given that -4/3*o**2 + 8/3*o + 0 - s*o**3 = 0.
-2, 0, 1
Let z(q) be the second derivative of 3/8*q**5 - 22*q + 3/4*q**2 - 1/5*q**6 - 5/4*q**3 + 0 + 3/8*q**4. Determine d, given that z(d) = 0.
-1, 1/4, 1
Let 202/3 - 2/3*k**2 + 200/3*k = 0. What is k?
-1, 101
Suppose 6*p - p + 60 = 0. Let v = 2 - p. Factor -4*s - v*s**4 + 9*s + 3*s + 46*s**3 + 0*s - 40*s**2.
-2*s*(s - 2)*(s - 1)*(7*s - 2)
Let l(t) be the first derivative of t**9/4536 - t**8/840 + t**7/420 - t**6/540 - t**3/3 - 4. Let g(w) be the third derivative of l(w). Factor g(i).
2*i**2*(i - 1)**3/3
Let t = -6 + 20. Solve -t*o**4 - 10*o - 4 + 18*o**2 + 3*o**3 + 14*o**3 - 4*o**3 - 3*o**3 = 0.
-1, -2/7, 1
Let b(a) be the third derivative of a**5/120 - a**4/24 - 35*a**3/12 - 166*a**2. Factor b(s).
(s - 7)*(s + 5)/2
Let r be (1 - 8/(-6))/(10/180). Let z = 42 - r. Solve 2/7*o**3 + z*o + 0 + 0*o**2 = 0.
0
Find f, given that -21/2*f**3 - 99/2*f**2 - 27/2*f + 0 + 147/2*f**4 = 0.
-3/7, 0, 1
Let z(c) be the second derivative of -c**5/25 - 7*c**4/15 - 22*c**3/15 - 2*c**2 + 150*c. Factor z(t).
-4*(t + 1)**2*(t + 5)/5
Let q be -2 - -1*6/1. Factor 2*v**4 - 7*v + q*v**3 - 2*v - 2*v**2 + 5*v.
2*v*(v - 1)*(v + 1)*(v + 2)
Suppose w - c + 33 = 0, w - 2*c + 6 = -30. Let u be (w/24)/((-1)/4). Factor y - y**4 + 5*y**5 - 2*y**2 - 6*y**u + 3*y**4.
-y*(y - 1)**3*(y + 1)
Let d be (152/(-285))/(2 - (-44)/(-20)). Factor 10/3*h**2 - d*h**3 - 4/3*h + 2/3*h**4 + 0.
2*h*(h - 2)*(h - 1)**2/3
Suppose -o - 6 = -3*l, -5*o = 108*l - 103*l - 30. Factor 3/4*m**5 - 1/4*m + 3/2*m**l + 0*m**2 - 2*m**4 + 0.
m*(m - 1)**3*(3*m + 1)/4
Let b(x) be the third derivative of x**8/72 + 53*x**7/1575 + x**6/90 - 4*x**5/225 + 207*x**2. Find f such that b(f) = 0.
-1, -4/5, 0, 2/7
Determine i, given that -156/7*i**3 - 66/7 - 284/7*i**2 - 2/7*i**5 - 34/7*i**4 - 226/7*i = 0.
-11, -3, -1
Suppose -9 = 3*z - 39. Solve f**5 + f**3 + z*f**5 - 10*f**5 - 2*f**4 + 4*f**4 = 0.
-1, 0
Suppose -h - 4*z = 14, 5 = -5*z - 0. Let q(n) = n**3 + 9*n**2 - 10*n + 7. Let t be q(h). Factor 3*y**3 - 2*y**2 + 4*y**4 + 0*y**4 - t*y**4 + 5*y**2 - 3*y.
-3*y*(y - 1)**2*(y + 1)
Let c be ((-12)/(-4) - -1) + -2. Factor -8*a**c + 27*a**4 - 23*a**4 + 4*a**3 - 2*a + 2*a.
4*a**2*(a - 1)*(a + 2)
Let c(w) be the first derivative of 21*w**5/5 + 45*w**4/4 + 9*w**3 + 3*w**2/2 + 166. Factor c(z).
3*z*(z + 1)**2*(7*z + 1)
Suppose -200 + 170 = -6*g. Let r(m) be the second derivative of 3*m**2 - 9/8*m**4 + 3*m + 0 + 3/5*m**g - 2*m**3 + 1/4*m**6. Find l such that r(l) = 0.
-2, -1, 2/5, 1
Solve 1/5*x - 4/5*x**2 + 2/5*x**4 + 2/5 - 2/5*x**3 + 1/5*x**5 = 0.
-2, -1, 1
Let a be 8*((-266)/(-280))/19. Find x such that -1/5*x**5 - a*x**3 + 2/5*x**2 - 3/5*x**4 + 3/5*x + 1/5 = 0.
-1, 1
Let h(z) be the second derivative of 5*z**4/12 - 5*z**3 + 25*z**2/2 + 11*z + 2. Factor h(k).
5*(k - 5)*(k - 1)
Let v(o) = -o + 17. Suppose 5*x = 2*q - 35, -2*x = -2*q - 4*x + 28. Let p be v(q). What is b in 0*b + 0 + 4/3*b**p = 0?
0
Let m(t) = -8*t**4 + t**3 + 8*t**2 - t + 5. Let q(i) = 12*i**4 - i**3 - 12*i**2 + i - 7. Let k(d) = -7*m(d) - 5*q(d). Factor k(u).
-2*u*(u - 1)*(u + 1)*(2*u + 1)
Let v(i) be the first derivative of -6*i**3 - 9 + 8*i - 12*i**2 + 7/2*i**4. Find c, given that v(c) = 0.
-1, 2/7, 2
Let z(p) be the first derivative of -3*p**5/5 + 3*p**4 - p**3 - 9*p**2 - 5. Let z(j) = 0. What is j?
-1, 0, 2, 3
Factor 30*t**3 + t**5 - 220*t + 100*t - 3*t**5 - 20*t**2 + 144.
-2*(t - 2)**3*(t + 3)**2
Let r(d) be the third derivative of -d**7/525 - d**6/30 - 6*d**5/25 - 14*d**4/15 - 32*d**3/15 - 246*d**2. Determine w so that r(w) = 0.
-4, -2
Let i(k) be the second derivative of -k**7/63 - 11*k**6/45 + 2*k**5/5 - 13*k - 4. Solve i(z) = 0 for z.
-12, 0, 1
Factor -13*q - 15*q**3 + q**4 - 31 + 31 + 27*q**2.
q*(q - 13)*(q - 1)**2
Let z(v) be the third derivative of v**6/72 + 4*v**3/3 + 2*v**2. Let w(g) be the first derivative of z(g). F