 + 16. Let p(x) be the third derivative of m(x). Factor p(f).
-2*f*(f - 2)/7
Let g be 5 + -30 + 20 + 150/26. Factor -2*d**2 + 8/13 + g*d**3 + 8/13*d.
2*(d - 2)*(d - 1)*(5*d + 2)/13
Let y be 17176/(-22035) + 4/5 + 2/15. Suppose 8/13*t**3 - y*t**2 - 8/13*t + 2/13 = 0. What is t?
-1, 1/4, 1
Let a(z) = -6*z**4 + 76*z**3 + 954*z**2 + 1680*z + 784. Let b(v) = v**4 + v**3 + v**2 + 2. Let u(y) = -a(y) - 8*b(y). Determine g so that u(g) = 0.
-20, -1
Let i = -12648 - -12648. Suppose -d**3 + i*d + 0*d**2 + 0 + 1/5*d**4 = 0. What is d?
0, 5
Let z(p) be the second derivative of p**6/30 + 26*p**5/5 + 306*p**4 + 23120*p**3/3 + 39304*p**2 + 901*p. Suppose z(i) = 0. Calculate i.
-34, -2
Let o(p) be the third derivative of -p**5/30 - 2*p**4 + 25*p**3/3 - 171*p**2. Determine g so that o(g) = 0.
-25, 1
Let i = -4072/70035 - -2/2001. Let p = 41/105 + i. Factor -2/3 - a - p*a**2.
-(a + 1)*(a + 2)/3
Suppose -8/7*d**5 + 24/7*d**4 + 0 - 2/7*d**3 - 24/7*d**2 - 8/7*d = 0. What is d?
-1/2, 0, 2
Let p(c) be the second derivative of -15*c**7/7 - 29*c**6/5 + 307*c**5/10 - 241*c**4/6 + 74*c**3/3 - 8*c**2 + c + 182. Solve p(t) = 0 for t.
-4, 1/3, 2/5, 1
Let a = 2543/12 + -632/3. Find j such that 1/4*j**2 + 1 + a*j = 0.
-4, -1
Let k be (21/35*15)/3. Let w = 73/39 + -8/39. Factor -2/3*g - 4/3*g**k + 0 + 1/3*g**4 + w*g**2.
g*(g - 2)*(g - 1)**2/3
Let m = 24 + -26. Let x be m/6 + 221/51. Factor 33*i**3 - 6*i**3 + 21*i**x + 6*i**2 + 0*i**2.
3*i**2*(i + 1)*(7*i + 2)
Factor 5/2*t**4 - 5/2*t**2 + 0 - 5/2*t + 5/2*t**3.
5*t*(t - 1)*(t + 1)**2/2
Let x = 1078/3 - 18347/51. Let b = 199/153 + x. Find a such that 10/9*a**4 + 0 + 8/9*a - 26/9*a**3 + b*a**2 = 0.
-2/5, 0, 1, 2
Solve 45*c**5 + 168*c**4 + 7*c**3 - 68*c**4 + 13*c**3 = 0.
-2, -2/9, 0
Suppose 0 = 5*c + 4*v - 5, -5*c + 10 = -v - 20. Let d(f) = f**2 - 3*f - 4. Let b be d(c). Solve 6*u - b*u - 5*u**2 - u**2 - 3*u**3 = 0.
-2, 0
Let p(u) be the first derivative of u**6/360 - u**5/24 + u**4/6 - 7*u**3 - 27. Let i(r) be the third derivative of p(r). Let i(h) = 0. Calculate h.
1, 4
Suppose -2*t = 4*i - 108, 0*i = -2*t + 2*i + 126. Solve -45 + 25 - 38*d**2 - 17*d**2 + 5*d**5 - t*d + 15*d**4 - 5*d**3 = 0 for d.
-2, -1, 2
Let m(f) be the third derivative of -f**6/240 + 7*f**5/120 - f**4/3 + f**3 + 2*f**2 + 17*f. Factor m(a).
-(a - 3)*(a - 2)**2/2
Let j(x) be the first derivative of x**4/48 + 5*x**3/12 + 2*x**2 - 16*x/3 - 79. Solve j(d) = 0 for d.
-8, 1
Let -5/2*w**2 + 22*w - 7/2*w**3 - 6 = 0. Calculate w.
-3, 2/7, 2
Let j = -1599 + 1601. Let i(p) be the first derivative of -5/3*p**3 - 80*p + 20*p**j + 11. What is m in i(m) = 0?
4
Let h(g) be the second derivative of -g**6/60 - 11*g**5/40 - 43*g**4/24 - 23*g**3/4 - 9*g**2 + 16*g. Suppose h(o) = 0. Calculate o.
-4, -3, -1
Let a(r) be the third derivative of r**8/48 + 31*r**7/210 + 32*r**6/105 - 2*r**5/105 - 10*r**4/21 + 8*r**3/21 + 74*r**2 - 2. Let a(g) = 0. Calculate g.
-2, -1, 2/7
Factor 4*o**4 - 625*o + 609*o - 31*o**2 + 32 - 3*o**3 + 7*o**3 + 7*o**2.
4*(o - 2)*(o - 1)*(o + 2)**2
Let p(c) = -12*c**4 + 22*c**3 + 12*c**2 - 12*c. Let g = -111 - -110. Let q(n) = -n**4 + n**3 + n**2. Let v(j) = g*p(j) + 10*q(j). Solve v(x) = 0 for x.
-1, 0, 1, 6
Let s(g) be the second derivative of g**4/30 + 92*g**3/15 + 2116*g**2/5 + 250*g. Solve s(f) = 0 for f.
-46
Let u(j) be the first derivative of 12/19*j**2 - 26/57*j**3 - 2/95*j**5 + 12 + 3/19*j**4 - 8/19*j. Factor u(f).
-2*(f - 2)**2*(f - 1)**2/19
Let r(k) be the third derivative of k**7/5460 + 11*k**6/4680 - k**5/195 - 3*k**4/8 - 19*k**2. Let g(v) be the second derivative of r(v). Factor g(o).
2*(o + 4)*(3*o - 1)/13
Let m be (-160)/440 + 380/77. Factor 2/7*f**2 + m - 16/7*f.
2*(f - 4)**2/7
Let g(p) be the third derivative of -2*p**6/15 + 7*p**5/5 - 3*p**4 - 18*p**3 - 2*p**2 + 1. Factor g(f).
-4*(f - 3)**2*(4*f + 3)
Let j(t) = -3*t. Let f be j(-1). Factor 2*z**2 - 21 - 18 + 4*z**f + 39 + 2*z**4.
2*z**2*(z + 1)**2
Let y(u) be the first derivative of -u**4/9 + 8*u**2/3 - 17*u - 8. Let f(k) be the first derivative of y(k). Find a such that f(a) = 0.
-2, 2
Suppose 46*j + 82*j = -7*j + 405. Find x such that -1/9*x - 1/9*x**5 + 2/9*x**j + 0 + 0*x**4 + 0*x**2 = 0.
-1, 0, 1
Let z(i) be the second derivative of -i**4/16 - 5*i**3/8 - 9*i**2/4 + 2*i + 19. Find s such that z(s) = 0.
-3, -2
Let l be (-2245)/(-8082) + (1 - (-14)/(-18)). Factor 3/2*u**2 + 0*u + 0 + l*u**3.
u**2*(u + 3)/2
Factor 7/3 + 5/6*v - 1/6*v**2.
-(v - 7)*(v + 2)/6
Let x(z) be the second derivative of -z**7/315 - z**6/180 + z**5/90 + z**4/36 + z**2/2 + 10*z. Let k(m) be the first derivative of x(m). Factor k(w).
-2*w*(w - 1)*(w + 1)**2/3
Let y be 88/(-72) - 1*(-6)/27. Let s be (33/(-24))/(1/(-4)) + y. Solve 3*a + s + 1/2*a**2 = 0 for a.
-3
Factor 4/7*v + 2/7*v**2 + 2/7.
2*(v + 1)**2/7
Let z(c) be the third derivative of -2/1995*c**7 - 10*c**2 + 1/228*c**6 + 0*c + 0 + 1/95*c**5 - 5/57*c**4 + 8/57*c**3. Suppose z(u) = 0. What is u?
-2, 1/2, 2
Suppose 0 = -52*p - 29*p + 162. What is z in 0 - 4/7*z**p + 10/7*z**4 + 0*z - 6/7*z**3 = 0?
-2/5, 0, 1
Let x be (59/59)/((-4)/(-11)). Let i(n) be the first derivative of -3/2*n - 3/10*n**5 - 1/36*n**6 - x*n**2 - 5/4*n**4 - 23/9*n**3 + 7. Factor i(y).
-(y + 1)**3*(y + 3)**2/6
Let r be (41/164)/((-3)/(-24)). Factor 4/5*z**4 - 4/5*z**r + 0*z**3 + 0 + 0*z.
4*z**2*(z - 1)*(z + 1)/5
Let h(x) be the first derivative of 169*x**4/3 - 52*x**3/9 + x**2/6 - 61. Find d, given that h(d) = 0.
0, 1/26
Let n(s) be the second derivative of 19*s**6/240 - 37*s**5/160 + 17*s**4/96 + s**3/48 + s - 21. Factor n(z).
z*(z - 1)**2*(19*z + 1)/8
Suppose 0 = -5*j - 0*l + 3*l + 20, 3*j = -5*l + 12. Let p = 6 + 2. Factor 0*d**2 + 5*d**2 - p*d**3 + 8*d - 12*d**j + 7*d**2.
-4*d*(d - 1)*(d + 1)*(3*d + 2)
Let q(r) be the second derivative of -r**7/140 - 23*r**6/300 - r**5/20 + r**4/4 + 13*r**3/60 - 7*r**2/20 + 5*r - 1. Determine z, given that q(z) = 0.
-7, -1, 1/3, 1
Let a be 0 + -1*(-297)/45. Find k, given that a*k - 6/5 - 42/5*k**2 = 0.
2/7, 1/2
Suppose -9*z + 191*z**2 + 190*z**2 - 384*z**2 = 0. What is z?
-3, 0
Let t(n) = n**3 + 6*n**2 + 294*n + 2109. Let g be t(-7). Solve 0 + 1/2*z**g - 2*z = 0.
0, 4
Let f(m) be the second derivative of 5*m**7/42 + m**6 - 7*m**5/4 - 18*m. What is z in f(z) = 0?
-7, 0, 1
Let r(z) = -35 + 64*z**2 + 0*z + 3*z - 63*z**2. Let k be r(5). Factor -1/3*d**2 + 0 + 1/3*d**4 + 1/3*d**3 - 1/3*d**k + 0*d.
-d**2*(d - 1)**2*(d + 1)/3
Let a(f) be the second derivative of f**6/30 - f**4/2 - 4*f**3/3 - 3*f**2/2 - 25*f - 1. Factor a(z).
(z - 3)*(z + 1)**3
Let b(y) = -2*y**3 - 14*y**2 + 52*y - 52. Let r(u) = 4*u**3 + 30*u**2 - 105*u + 103. Let z(i) = -9*b(i) - 4*r(i). Factor z(g).
2*(g - 2)**2*(g + 7)
Let h(p) be the third derivative of -p**5/420 + 2*p**4/3 - 224*p**3/3 + 66*p**2. Factor h(j).
-(j - 56)**2/7
Factor 0 - 6/11*l**5 + 2/11*l + 0*l**2 - 16/11*l**4 - 12/11*l**3.
-2*l*(l + 1)**3*(3*l - 1)/11
Let -21*i**4 - 3/4*i**5 + 0 - 432*i - 183*i**3 - 504*i**2 = 0. What is i?
-12, -2, 0
Let l(o) = -o**2 - 5*o + 66. Let s be l(-11). Let u(v) be the third derivative of -1/75*v**5 + s*v**3 + 3*v**2 + 0 + 1/300*v**6 + 1/60*v**4 + 0*v. Factor u(b).
2*b*(b - 1)**2/5
Let o(z) be the first derivative of z**5/60 + z**4/24 - z**3/3 + 7*z**2/2 - 12. Let b(v) be the second derivative of o(v). Factor b(h).
(h - 1)*(h + 2)
Let z be 6 - 1 - 9360/13. Let m be (156/z)/(6/(-20)). Factor -16/11*k**2 + m*k + 0 + 10/11*k**3 - 2/11*k**4.
-2*k*(k - 2)**2*(k - 1)/11
Suppose -2*f + 14 = 2*v, -2*v + 1023 - 1013 = 0. Determine m, given that -9/7 - 3/7*m**f + 12/7*m = 0.
1, 3
Find q such that 21/2*q**2 - 1/2*q**3 - 60*q + 50 = 0.
1, 10
Suppose 4*v = -4*s - 16, -5*s = 362*v - 360*v + 8. Factor -1/4*n**2 - n + s.
-n*(n + 4)/4
Let o(d) be the third derivative of -338/3*d**3 + 0 - 1/15*d**5 + 12*d**2 + 13/3*d**4 + 0*d. Find m such that o(m) = 0.
13
Factor -14*b**3 - 77 + 20 - 13*b**3 - 33*b**2 + 31 + 27 - 5*b.
-(b + 1)*(3*b + 1)*(9*b - 1)
Let o(i) be the second derivative of -i**4/60 + i**3/15 + 7*i**2/2 + 6*i + 12. Factor o(w).
-(w - 7)*(w + 5)/5
Let f(x) = -x**3 - 2*x**2 + 3. Let k be f(-3). Suppose -9 - 1 = -5*u. Determine t so that -2*t - k*t**3 + 3*t**5 + 23*t**u - 31*t**2 - 8*t**4 - 5*t**5 = 0.
-1, 0
Factor 46/7*t**2 - 16/7*t**3 + 24/7 + 2/7*t**4 - 8*t.
2*(t - 3)*(t - 2)**2*(t - 1)/7
Let i(w) be the seco