*(d + 2)/5
Let l(v) be the second derivative of 3*v**5/4 - 5*v**4/12 - 20*v**3/3 - 10*v**2 - 49*v + 1. Solve l(y) = 0.
-1, -2/3, 2
Let t(d) be the second derivative of 49*d**6/150 + 21*d**5/100 - 2*d**4/5 + 2*d**3/15 + 21*d. Solve t(u) = 0 for u.
-1, 0, 2/7
Determine y so that 24/5*y + 36/5 + 3/5*y**2 = 0.
-6, -2
Let t(d) be the third derivative of d**6/320 + 3*d**5/160 - 9*d**4/32 + d**2 + 18. Factor t(k).
3*k*(k - 3)*(k + 6)/8
Let o(m) = -5*m - 75. Let t be o(-16). Suppose -4*n - 5*s + 12 = 0, 7*n - t*n - 6 = -s. Determine v so that -6/13*v**4 + 0 + 2/13*v - 2/13*v**n + 6/13*v**2 = 0.
-1, -1/3, 0, 1
Let t(w) = -w**3 + 5*w**2 + 14*w. Let v be t(6). Let q be ((-1)/(-6))/(4/(v/4)). Factor -q*j + 0 - 1/2*j**2.
-j*(j + 1)/2
Let k(y) be the second derivative of -y**3/6 - y**2/2 - 13*y. Let f be k(-3). Solve -1/3*j**3 + 1/2*j**4 - 1/6*j**5 - 1/6 - 1/3*j**f + 1/2*j = 0.
-1, 1
Let h be (-31)/372 + ((-6)/60)/(12/(-10)). Find j, given that 2/9*j**3 + h - 2/9*j**5 + 0*j - 2/9*j**2 + 2/9*j**4 = 0.
-1, 0, 1
Let p = 730/51 + -232/17. Let -1/3*j**2 + p*j + 0 - 1/3*j**3 = 0. What is j?
-2, 0, 1
Let p(b) be the third derivative of b**5/90 - b**4/12 - 6*b**3 - 2*b**2 - 171. Let p(g) = 0. What is g?
-6, 9
Let o(v) be the third derivative of v**8/448 + v**7/280 - v**6/160 - v**5/80 + 89*v**2 + 1. Factor o(k).
3*k**2*(k - 1)*(k + 1)**2/4
Suppose -38*c - 11*c + 99 = -48. Solve 4/3 + c*k + 5/3*k**2 = 0 for k.
-1, -4/5
Suppose 38*o - 40*o + 4*i + 12 = 0, 0 = -2*o - i - 3. Determine g so that 16/5*g**3 - 8/5*g**2 - 2*g**4 + o*g + 2/5*g**5 + 0 = 0.
0, 1, 2
Let n(z) be the second derivative of -3*z**5/40 - 11*z**4/8 - 17*z**3/2 - 18*z**2 - 62*z. Factor n(x).
-3*(x + 1)*(x + 4)*(x + 6)/2
Let r(f) be the first derivative of -f**6/13 - 22*f**5/65 - 5*f**4/26 + 2*f**3/13 + 85. Solve r(a) = 0.
-3, -1, 0, 1/3
Let i = 4531 + -58897/13. Determine x so that -i*x + 2/13*x**2 - 8/13 = 0.
-1, 4
Suppose 52 = 65*v - 78. Let g(o) be the first derivative of -1/4*o**4 + 0*o - 5 - 2/3*o**3 - 1/2*o**v. Factor g(h).
-h*(h + 1)**2
Suppose 0 = 5*a + 4*v - 60 + 51, -4*a + 32 = -3*v. Find u, given that -2/5*u**a - 96/5*u - 112/5*u**2 - 18/5*u**4 - 64/5*u**3 - 32/5 = 0.
-2, -1
Suppose 112/5*k - 4/5*k**2 + 0 = 0. Calculate k.
0, 28
Let z = 0 + 6. Suppose 11*m + z = 28. Factor o**3 - 1/3*o**m + 0 + 0*o.
o**2*(3*o - 1)/3
Let r(a) be the second derivative of -a**5/10 + 68*a**4/3 - 4624*a**3/3 + 240*a + 2. Find x, given that r(x) = 0.
0, 68
Let z(c) be the first derivative of 2*c**6 + 44*c**5/5 + 6*c**4 - 125. Determine r, given that z(r) = 0.
-3, -2/3, 0
Suppose 30*a + 3*a**2 + 37 + 37 + 7 - 8 - 1 = 0. Calculate a.
-6, -4
Let b = -333 - -341. Let k(w) be the first derivative of w**3 - b - 6*w - 3/2*w**2. Factor k(g).
3*(g - 2)*(g + 1)
Let v(z) be the first derivative of 4 - 8/5*z**2 + 0*z - 4/3*z**3 - 1/5*z**4. Factor v(c).
-4*c*(c + 1)*(c + 4)/5
Suppose -5*l + 0*l + 10 = 0. Let p(z) = -z**2 + 11*z + 7. Let r be p(5). Determine j, given that 37*j**3 - j - 2*j**4 + j**5 + 2*j**l - r*j**3 = 0.
-1, 0, 1
Let a(r) = -14*r**3 - 22*r**2 + 64*r + 50. Let g(d) = -2*d**3 - 3*d**2 + 9*d + 7. Let b = -57 - -63. Let i(w) = b*a(w) - 44*g(w). Factor i(j).
4*(j - 2)*(j + 1)**2
Let z(r) be the first derivative of 11 - 12*r + 8*r**2 - 4/3*r**3. Factor z(d).
-4*(d - 3)*(d - 1)
Find s, given that 0*s**2 + 0 + 0*s + 1/3*s**4 - 2/3*s**3 = 0.
0, 2
Suppose 12 = 2*a + 2*a. Suppose 12 = a*c - 0*c. Determine d, given that 2*d**2 + 12*d**c - 12*d**3 - d**5 + 2*d**2 - d**5 - 2*d**5 = 0.
0, 1
What is b in 55*b**3 - b**2 - 57*b**3 - b**2 - 2*b**2 + 2*b + 4 = 0?
-2, -1, 1
Let v(s) = s**4 - 2*s**3 + s**2. Let j(c) = -7*c**4 + 7*c**3 - 15*c**2 - 7*c - 2. Let d(w) = -j(w) - 6*v(w). Factor d(q).
(q + 1)**3*(q + 2)
Let u(n) = -5*n**3 - 5*n**2 + 10. Let d(l) = 2*l**2 + 3*l - 4*l**2 + l**2 - 2*l. Let a(b) = -5*d(b) - u(b). Determine s so that a(s) = 0.
-2, -1, 1
Suppose -2*q + 198 = 63*q + q. Let 5/3*g + 10/3*g**2 - 5/3*g**q - 10/3 = 0. What is g?
-1, 1, 2
Let r be 18/(-105)*((-130)/(-15) - 11). Factor r*y**2 - 6/5 - 4/5*y.
2*(y - 3)*(y + 1)/5
Suppose -o + 8 = 3. Suppose 0 = 4*s + o*w - 53, -17 - 5 = -2*s + 2*w. Factor -2*r**2 + r**2 - 3*r**2 - 8 + s*r.
-4*(r - 2)*(r - 1)
Let n(b) be the first derivative of b**4/2 + 16*b**3/3 + 5*b**2 - 100*b + 160. Factor n(j).
2*(j - 2)*(j + 5)**2
Factor 164/3*x + 8 - 8*x**3 + 116/3*x**2.
-4*(x - 6)*(x + 1)*(6*x + 1)/3
Suppose 8*t = -9*t + 51. Let b(a) be the second derivative of -5/36*a**4 + 0*a**2 + 5*a + 1/9*a**t + 0 + 1/20*a**5. Factor b(j).
j*(j - 1)*(3*j - 2)/3
Factor -5 - 3/2*u + 1/2*u**2.
(u - 5)*(u + 2)/2
Let b(x) be the first derivative of -x**5/4 + 75*x**4/16 - 20*x**3 - 40*x**2 - 111. Suppose b(f) = 0. What is f?
-1, 0, 8
Let o(f) = -8*f**3 - 12*f**2 - 14*f. Let p(s) = -7*s**3 - 12*s**2 - 13*s. Let t(v) = -4*o(v) + 5*p(v). Solve t(z) = 0 for z.
-3, -1, 0
Let l(o) = -o**2 + 2*o + 15. Let p be l(-3). Factor 0 + 0*v**3 + 0*v**2 + 2/7*v**4 + p*v.
2*v**4/7
Let m(b) be the second derivative of 0 - 19*b + 0*b**2 - 1/18*b**3 + 1/60*b**5 + 1/90*b**6 - 1/36*b**4. Factor m(x).
x*(x - 1)*(x + 1)**2/3
Suppose 25 = 31*t + 25. Let d(a) be the second derivative of t + 0*a**2 - 2/3*a**3 - 3*a + 1/6*a**4. Find r, given that d(r) = 0.
0, 2
Let n(f) be the third derivative of f**5/150 - f**4/4 - 76*f**3/15 + 2*f**2 + 33. Factor n(q).
2*(q - 19)*(q + 4)/5
Let b(w) = -20*w**3 + 127*w**2 - 64*w - 53. Let p(d) = 60*d**3 - 380*d**2 + 192*d + 160. Let t(m) = -16*b(m) - 5*p(m). Suppose t(f) = 0. Calculate f.
-2/5, 1, 6
Let w be 2*-2 - (-77)/7. Suppose 35*k + w = 7. Factor k - 1/7*h**2 + 0*h.
-h**2/7
Let z(n) be the second derivative of -n**5/70 - 5*n**4/21 - 17*n**3/21 - 8*n**2/7 - n - 3. Factor z(d).
-2*(d + 1)**2*(d + 8)/7
Let m(g) = 2*g**2 - g - 231. Let x be m(11). Let d(s) be the first derivative of 1/2*s**6 + x*s - 6/5*s**5 + 0*s**3 + 3/4*s**4 + 0*s**2 + 7. Factor d(h).
3*h**3*(h - 1)**2
Let k be 1 + -20 - 126/(-4). Suppose 0 - k*x - 5/2*x**2 = 0. What is x?
-5, 0
Let x = 69 - 48. Solve -72*k**2 - x*k**5 - 7*k**3 - 38*k**3 - 21*k**3 + 90*k**4 - 18 + 87*k = 0.
-1, 2/7, 1, 3
Determine j, given that -1414 + 2*j**2 + 3*j**2 + 18*j - 138*j + 1529 = 0.
1, 23
Let k(z) be the third derivative of -11*z**6/6 - 122*z**5/15 - 10*z**4/3 + 16*z**3/3 - 22*z**2. Suppose k(t) = 0. What is t?
-2, -2/5, 2/11
Let n(u) = -4*u**3 - u**2 - 2*u - 1. Let y be n(-1). Factor -3*z**4 + 145*z**3 + z**y - 6*z + 4 - 139*z**3 - 2*z**2.
-2*(z - 2)*(z - 1)**2*(z + 1)
Let r(i) be the third derivative of -i**6/60 + 13*i**5/6 + 11*i**4/2 + 129*i**2 - 2*i. Suppose r(w) = 0. What is w?
-1, 0, 66
Let y(t) be the second derivative of -t**4/90 + t**3/5 + 22*t**2/15 + 5*t - 9. Factor y(l).
-2*(l - 11)*(l + 2)/15
Factor -3/2 + 1/2*k**2 + k.
(k - 1)*(k + 3)/2
Let c be 8 - (-4)/(12/(-9)). Suppose -2*w + 5*h + 2 = -c, 2*h = -5*w + 3. Determine q so that q + w + 1/4*q**2 = 0.
-2
Let x be -22*(-4)/(-8)*-1. Suppose -4*j = -x - 1. Factor 3*s - 4*s - 5*s - j*s**2 - 3.
-3*(s + 1)**2
Suppose -3*z + 2*p = -17, -6*p = -5*z - p + 35. Factor 39*s**2 + 20*s + 43*s**2 - 5*s**z - 67*s**2.
-5*s*(s - 4)*(s + 1)
Let g(x) be the first derivative of -20*x + 120*x**2 + 1775/4*x**4 - 335*x**3 + 19 - 279*x**5 + 135/2*x**6. Let g(q) = 0. What is q?
2/9, 1
Let m(l) be the first derivative of l**3 + 3*l**2/2 - 126*l + 756. Solve m(i) = 0 for i.
-7, 6
Find y such that -1826 + 84*y**2 + 4359 - 312*y - 14701 - 86*y**2 = 0.
-78
Suppose 0 - 147/2*j**4 - 798*j**3 - 1287/2*j**2 - 135*j = 0. Calculate j.
-10, -3/7, 0
Let s(x) be the second derivative of -5*x**7/42 + 31*x**6/6 - 223*x**5/4 - 1435*x**4/12 + 560*x**3/3 + 640*x**2 - 110*x + 1. Let s(w) = 0. Calculate w.
-1, 1, 16
Factor 68 + 66*l - 610*l**2 + 1214*l**2 - 606*l**2.
-2*(l - 34)*(l + 1)
Let i(h) be the first derivative of 0*h + 8 + 2/25*h**5 + 0*h**2 + 0*h**4 - 8/15*h**3. Factor i(b).
2*b**2*(b - 2)*(b + 2)/5
Let h = 151 - 148. Let b be 1/(-10)*(3 - (2 + h)). Determine q so that -1/5*q**5 - 2/5*q**2 + b + 2/5*q**3 - 1/5*q + 1/5*q**4 = 0.
-1, 1
Let d(i) be the third derivative of 0*i**3 - 13/15*i**5 + 0*i + 0 - 1/3*i**4 - 17*i**2. Factor d(o).
-4*o*(13*o + 2)
Let w(p) be the first derivative of -2*p**3/21 - p**2 - 24*p/7 + 22. Factor w(t).
-2*(t + 3)*(t + 4)/7
Let l(k) = 2*k**4 + k**3 + 2*k**2 + 1. Let d(x) = -2*x**4 - 2*x*