*2 - 3*q**4 - 112*q - 64 - 13*q**3 - 8*q**m + 10*q**4 = 0. Calculate q.
-4, -1
Let r(n) be the first derivative of n**4/36 + 2*n**3/9 + 59*n + 54. Let y(q) be the first derivative of r(q). Suppose y(t) = 0. Calculate t.
-4, 0
Let c(p) be the third derivative of -p**7/105 - p**6/60 + p**5/15 - 3*p**2. Find l such that c(l) = 0.
-2, 0, 1
Let s = -2/68465 + 68471/205395. Factor -1/3*a**3 + s*a - 1/3 + 1/3*a**2.
-(a - 1)**2*(a + 1)/3
Let f = 2364/295 - -11/59. Let p = -7 + f. What is x in p - 3/5*x**2 + 3/5*x = 0?
-1, 2
Let k be 0/4*(60/(-18) + (-6)/(-2)). Factor k + 1/2*d**2 + 3/2*d.
d*(d + 3)/2
Let w be 15 - (21/18 + (-7)/42). Suppose -5 - 10 = -5*o. Solve -16 + 3*x**3 + w + 2*x**2 + x - x**o - 3*x**3 = 0.
-1, 1, 2
Let i(w) = w**3 - 2*w**2 - w + 2. Let v(j) = 49*j**2 + 529*j - 578. Let d(q) = i(q) + v(q). Factor d(h).
(h - 1)*(h + 24)**2
Determine i so that -5*i - 1/2*i**2 - 25/2 = 0.
-5
Let o = 784/27 - 29. Let v(u) be the second derivative of 1/54*u**4 + 0*u**2 + 8*u - o*u**3 + 0. Let v(y) = 0. What is y?
0, 1
Suppose -3/5*s**3 - 621/5*s**2 - 42849/5*s - 985527/5 = 0. What is s?
-69
Suppose 11*u = u + 80. Suppose f = 10*b - 6*b - 6, f + 3*b - u = 0. Determine x, given that 0 + 1/5*x**f - 2/5*x = 0.
0, 2
Suppose -5*m - 2*v - 12 = 5, v = -2*m - 7. Let i(z) = -z + 1. Let w be i(m). What is j in -j**5 + 4*j**2 - 7*j**3 - 4*j**w + 8*j**3 - 4*j**3 + 4*j = 0?
-2, -1, 0, 1
Let r(f) be the third derivative of -f**6/60 - 19*f**5/30 - 28*f**4/3 - 64*f**3 - 2*f**2 - 10. What is h in r(h) = 0?
-8, -3
Let s be (9/(-10) - -1)/(90/360). Factor -2/5*l**2 + 1/5*l - 1/5*l**3 + 0 + s*l**4.
l*(l - 1)*(l + 1)*(2*l - 1)/5
Suppose -3*s - 64 = 2*j, 4*j + 61 = -5*s - 43. Let a be -6*-8*(-4)/s. Factor -6*o + 6 + a*o**2 - 2*o - o - 5*o.
2*(o - 1)*(4*o - 3)
Factor 491 - 974 - l**2 + 18*l + 523.
-(l - 20)*(l + 2)
Solve 16*c**2 - 2*c**2 + 539*c - 545*c - 8*c**3 = 0 for c.
0, 3/4, 1
Let u(i) = -7*i**2 - 99*i - 573. Let j(p) = 6*p**2 + 98*p + 574. Let c(q) = 5*q + 8. Let s be c(-2). Let b(v) = s*u(v) - 3*j(v). Suppose b(o) = 0. Calculate o.
-12
Let g(j) be the first derivative of -j**3/3 - 59*j**2/2 - 114*j - 203. Factor g(v).
-(v + 2)*(v + 57)
Let a = -59 + 62. Factor -16*q**5 + 0*q**3 + 7*q**a - 13*q**3 + 24*q**4 - 3*q**3.
-q**3*(4*q - 3)**2
Let z(c) be the first derivative of c**5/12 + 5*c**4/8 + 5*c**3/3 - 5*c**2 - 13. Let b(w) be the second derivative of z(w). Factor b(q).
5*(q + 1)*(q + 2)
Suppose -136*m + 4 = 17*m + 4. Factor -10/3*f + m - 155/3*f**4 + 45*f**3 + 55/3*f**5 - 25/3*f**2.
5*f*(f - 1)**3*(11*f + 2)/3
Factor 224*l + 4*l**3 - 113 - 69*l**2 - 207 + 17*l**2.
4*(l - 5)*(l - 4)**2
Let b(a) be the first derivative of 5*a**4/4 + 10*a**3 + 25*a**2/2 + 341. Factor b(q).
5*q*(q + 1)*(q + 5)
Let o be -11 - (-10 - 65/26). Suppose -3/2*l**4 + 0 + 9/8*l**5 + o*l**2 - 3/4*l**3 - 3/8*l = 0. What is l?
-1, 0, 1/3, 1
Let -3*m**4 - 92*m**2 - 3*m**5 + 193*m**2 - 12 - 86*m**2 + 15*m**3 - 12*m = 0. What is m?
-2, -1, 1, 2
Factor -116/7*p + 1682/7 + 2/7*p**2.
2*(p - 29)**2/7
Suppose 27 = -38*m + 141. Factor 2/13*x**m - 2/13*x - 2/13*x**2 + 2/13.
2*(x - 1)**2*(x + 1)/13
Let u(x) = 2*x**2 - 35*x - 3. Let o be u(18). Factor 196 - o*h + 5*h**2 - 186 + 0*h**2.
5*(h - 2)*(h - 1)
Suppose -4*c + 47 = 23. Suppose -24 = c*o - 12*o. Suppose 0 - 9/5*k**3 + 12/5*k + 12/5*k**2 + 3/5*k**5 - 6/5*k**o = 0. Calculate k.
-1, 0, 2
Suppose 5*q + 29 = 2*n, -3*n - n - 3*q = -45. Suppose -n + 58*x + 62*x + 2*x**2 - 122*x = 0. What is x?
-2, 3
Let g(z) be the third derivative of z**8/40320 + z**7/1680 + z**6/160 + z**5/60 + 4*z**2. Let v(r) be the third derivative of g(r). Factor v(m).
(m + 3)**2/2
Let d(v) be the second derivative of 1/25*v**5 - 2/5*v**2 - 1/5*v**4 + 7*v + 0 + 2/5*v**3. Determine q, given that d(q) = 0.
1
Let c = 252/13 + -248/13. Let y be (-8)/(-65)*5/2. Factor c*d + 2/13 + 0*d**2 - 2/13*d**4 - y*d**3.
-2*(d - 1)*(d + 1)**3/13
Let i(d) be the first derivative of 29791*d**4/16 - 2883*d**3/2 + 837*d**2/2 - 54*d - 75. Find u, given that i(u) = 0.
6/31
Suppose 3*h = -10 + 85. Factor 17*k**4 + 18*k**4 - 13*k**2 + 3*k**2 + h*k**3.
5*k**2*(k + 1)*(7*k - 2)
Let d(x) be the second derivative of -x**4/6 + 13*x**3/3 - 36*x**2 + 11*x - 5. Let d(k) = 0. What is k?
4, 9
Let 12/7*l**2 - 18/7*l + 2/7*l**5 + 0 - 12/7*l**4 + 16/7*l**3 = 0. What is l?
-1, 0, 1, 3
Let i(d) = -10*d**2 + 5*d + 15. Let r(c) = -9*c**2 + 5*c + 12. Let k(f) = 4*i(f) - 5*r(f). Suppose k(t) = 0. What is t?
0, 1
Let n(h) be the second derivative of h**5/20 - h**4/12 - h**3/3 - 52*h. What is l in n(l) = 0?
-1, 0, 2
Let i(v) be the first derivative of 3 + v**2 + 0*v - 3/4*v**4 - 1/3*v**3 + 1/6*v**6 + 1/5*v**5. Factor i(p).
p*(p - 1)**2*(p + 1)*(p + 2)
Let z(p) = 3*p + 72. Let u(s) = -6*s - 145. Let l(r) = 4*u(r) + 7*z(r). Let w be l(-26). Find g such that -4/3 - 2*g**3 + 2/3*g**w + 2*g + 2/3*g**4 = 0.
-1, 1, 2
Let y be ((-44)/220 + 5/(-100))/((-1)/2). Factor -72 - y*x**2 - 12*x.
-(x + 12)**2/2
Let b(v) = 6*v + 85. Let g be b(0). Let q be -5 - (g/(-25) + -2). Determine x so that -1/5*x**3 + 1/5*x + 2/5*x**2 - q = 0.
-1, 1, 2
Suppose -3*h - 3*c = -6*h + 15, 3 = -c. What is i in 5 + 0*i - 5 - h*i**2 + 4*i - 2 = 0?
1
Let w(n) be the first derivative of 3/4*n**4 - 16/3*n + 23 - 1/15*n**5 + 6*n**2 - 28/9*n**3. Let w(g) = 0. What is g?
1, 2, 4
Let k(b) = -b**3 - b**2 + b. Let u(i) = -5*i**3 - 6*i**2 + 3*i - 2. Let g be (4/3)/(12/54). Let h(f) = g*k(f) - u(f). Factor h(s).
-(s - 2)*(s + 1)**2
Let m = 14 - 36. Let b be (-2 - m/10)/(20/25). Let 1/4*x**3 + 0*x + 0 - b*x**2 = 0. What is x?
0, 1
Let y(f) = f**2 - 12*f - 4. Suppose -22 = -2*o + 4*o. Let w(r) = 3*r**2 - 35*r - 11. Let g(b) = o*y(b) + 4*w(b). Solve g(m) = 0 for m.
0, 8
What is u in 0 + 69/5*u**2 - 6/5*u + 15*u**3 = 0?
-1, 0, 2/25
Let f = -132 - -134. Factor 0 + 1/3*x - 1/3*x**3 + 0*x**f.
-x*(x - 1)*(x + 1)/3
Let g be 416/(-30) - (-364)/26. Find k such that -2/15*k**2 + 4/15*k - g = 0.
1
Let r(p) = 5*p**5 + 14*p**4 + 30*p**3 + 26*p**2 + 5*p. Let y(u) = -14*u**5 - 42*u**4 - 90*u**3 - 78*u**2 - 16*u. Let d(h) = 8*r(h) + 3*y(h). Factor d(k).
-2*k*(k + 1)**3*(k + 4)
Solve -35*v + 5*v**2 - 37*v + 26*v + 9*v - 33*v = 0 for v.
0, 14
Let x(k) = 9*k**4 + 3*k**3 - 12*k**2 + 18*k - 18. Let u(w) = 0 + 1 + w**2 + 0 + 0*w - w + w**3. Let r(b) = -18*u(b) - x(b). Solve r(f) = 0.
-2, -1/3, 0
Let m = 35 - 25. Suppose 40 = 5*v + m. Let -1 + d**4 - v*d**3 + 3*d**2 + 2*d**3 - 1 - 2 + 4*d = 0. Calculate d.
-1, 1, 2
Suppose -3*x = -4*l + 62, -76 = -0*x + 4*x - 4*l. Let m = x + 18. Factor 0*t + 3*t**m - 6*t + 2*t**4 - 9*t**2 - 2*t**4.
3*t*(t - 2)*(t + 1)**2
Let g be (-4 - (-5 - 3)) + 0. Find s, given that g*s**4 - 5*s - 9*s**2 + 4*s**4 + 3*s**4 + 2 - 4*s**4 + 5*s**3 = 0.
-1, 2/7, 1
Let f(v) be the third derivative of 0 + 1/72*v**4 + 14*v**2 + 1/9*v**3 + 0*v - 1/30*v**5. Factor f(r).
-(2*r + 1)*(3*r - 2)/3
Let k = 11/410 - -3/41. Let q(t) be the first derivative of 1/20*t**4 - 5 + 0*t + k*t**2 - 2/15*t**3. Factor q(m).
m*(m - 1)**2/5
Let s(j) be the first derivative of -j**4/16 - j**3/12 + j**2/8 + j/4 - 123. Factor s(n).
-(n - 1)*(n + 1)**2/4
Let z = -2/1947 - -3920/25311. What is j in 0 - 6/13*j**3 + z*j**4 + 0*j**2 + 0*j = 0?
0, 3
Let p(i) be the second derivative of 0 - 1/40*i**6 - 1/12*i**3 + 7/80*i**5 + 0*i**2 - 5/168*i**7 - 12*i + 1/16*i**4. Suppose p(g) = 0. What is g?
-1, 0, 2/5, 1
Let l(q) = q**3 + 24*q**2 + 75*q - 97. Let o be l(-20). Solve 2/25*y**4 + 6/25*y**2 + 0 - 6/25*y**5 + 18/25*y**o - 4/25*y = 0.
-1, 0, 1/3, 2
Factor 1/4*o**4 - o**3 + o - 3/4 + 1/2*o**2.
(o - 3)*(o - 1)**2*(o + 1)/4
Factor -19200/7 - 3/7*g**2 - 480/7*g.
-3*(g + 80)**2/7
Factor -135 - 344*v**3 - 1200*v**2 + 126*v + 75*v**2 - 801*v - 226*v**3 - 55*v**3.
-5*(5*v + 3)**3
Let u be (-4)/(288/(-92)) + (-232)/(-1044). Factor r**2 - 11/4*r + 1/4*r**3 + u.
(r - 1)**2*(r + 6)/4
Suppose 40 - 8 = -16*w. Let i(y) = 6*y**3 + 75*y**2 - 87*y + 29. Let q(b) = 4*b**3 + 38*b**2 - 44*b + 14. Let o(x) = w*i(x) + 5*q(x). Factor o(m).
2*(m + 6)*(2*m - 1)**2
Let s(i) be the first derivative of -i**5/60 + i**4/18 - i**3/18 - 15*i + 8. Let j(h) be the first derivative of s(h). Find l such that j(l) = 0.
0, 1
Let w(p) be the third derivative of -p**6/30 + 2*p**5/15 + 2*p**4/3 - 16*p**3/3 - 148*p**2. Factor w(v).
-4*(v - 2)**2*(v + 2)
Let f be (-