actor -39/7*r**2 - 12/7*r**3 + 96/7*r - 45/7.
-3*(r - 1)*(r + 5)*(4*r - 3)/7
Let u(i) = -i**3 + 3*i**2 + 2*i - 5. Let r be u(3). Suppose 5*h - 16 = -r. Factor 6*o - 118*o**h + 0*o + 115*o**3 + 3*o**2.
-3*o*(o - 2)*(o + 1)
Suppose 0 = -68*a - 15841 + 15977. Find v such that -2*v**4 + 0 + 18/5*v**3 - 6/5*v**a - 2/5*v = 0.
-1/5, 0, 1
Let n(o) be the second derivative of 7*o**4/12 + 3*o**3/2 + o**2 - 49*o - 2. Determine v so that n(v) = 0.
-1, -2/7
Let l(w) be the first derivative of 2*w**3/15 - 2*w**2/5 + 2*w/5 - 30. Solve l(d) = 0 for d.
1
Let r be (-572)/(-132) + 4/(12/(-9)). Suppose 1/6*f - 2/3 + r*f**2 - 1/3*f**3 + 1/6*f**5 - 2/3*f**4 = 0. Calculate f.
-1, 1, 4
Let d(z) be the second derivative of -z**6/120 + z**5/8 - 25*z**4/48 - 172*z. Factor d(b).
-b**2*(b - 5)**2/4
What is x in -11/9*x**3 + 0*x + 2/9*x**2 + 0 - 7/9*x**5 + 16/9*x**4 = 0?
0, 2/7, 1
Let v be 616/40 + (-4)/10. Let u = v - 15. Suppose -2*x**2 + 0*x + 2 + u*x = 0. Calculate x.
-1, 1
Let c(v) be the first derivative of v**6/72 + v**5/8 - 5*v**4/6 + 10*v**3/3 + 9. Let b(a) be the third derivative of c(a). Solve b(j) = 0.
-4, 1
Let p(v) be the first derivative of 0*v**3 + 1/22*v**4 - 29 - 4/11*v - 3/11*v**2. Factor p(h).
2*(h - 2)*(h + 1)**2/11
Let r(x) = x**3 + 12*x**2 + 18*x + 5. Let f be r(-11). Let a be (16/f)/((-4)/8). Factor 0 + 0*c + 0*c**2 - 2/9*c**3 - 2/9*c**5 + a*c**4.
-2*c**3*(c - 1)**2/9
Let o(r) be the first derivative of -r**7/1960 + r**6/120 - 3*r**5/56 + 9*r**4/56 + 11*r**3/3 - 24. Let m(b) be the third derivative of o(b). Factor m(h).
-3*(h - 3)**2*(h - 1)/7
Let k(t) be the second derivative of -3*t**5/40 + 7*t**3/4 + 9*t**2/2 + 32*t - 2. Factor k(x).
-3*(x - 3)*(x + 1)*(x + 2)/2
Let b(w) = -2*w**2 - 20*w - 8. Let x(l) = -2*l. Let m(f) = -2*b(f) + 12*x(f). Factor m(h).
4*(h + 2)**2
Find j such that 10/3*j**4 - 8 + 26/3*j**2 + 56/3*j - 44/3*j**3 = 0.
-1, 2/5, 2, 3
Suppose -o = 4*o. Suppose r - 6*r + 40 = o. Let -2*c**2 - 2*c**2 + 8*c**2 - r*c = 0. Calculate c.
0, 2
Let t(l) be the third derivative of -l**5/300 - 11*l**4/120 + 13*l**3/15 + 63*l**2. Suppose t(k) = 0. What is k?
-13, 2
Let j = 3 - 0. What is f in 8*f**5 - 3*f**4 + 0*f**j - 7*f**5 - f**3 + 4*f**3 - f**2 = 0?
0, 1
Let a(i) be the second derivative of 0 + 1/16*i**4 + 75/8*i**2 + 30*i - 5/4*i**3. Factor a(k).
3*(k - 5)**2/4
Let l(t) = -t**3 - 6*t**2 + 7*t + 2. Let c be l(-7). Let g be 0/(-114) - (0 - 0). Determine f so that g*f + 0 - 8/3*f**4 - 2*f**3 + 0*f**c - 2/3*f**5 = 0.
-3, -1, 0
Let y(i) be the first derivative of 4/3*i**3 + 0*i + 14 + 8*i**4 + 0*i**2 + 64/5*i**5. Determine k, given that y(k) = 0.
-1/4, 0
Let m(a) be the third derivative of a**5/72 - 20*a**3/9 + 89*a**2. Factor m(n).
5*(n - 4)*(n + 4)/6
Let t(r) be the third derivative of -r**4/24 + r**3/3 + r**2. Let j be t(-2). Factor -12*k**2 + 2*k**2 - 3*k + 3*k**j + 3*k**3 + 7*k**2.
3*k*(k - 1)*(k + 1)**2
Let c be ((-3)/9)/(1/1)*6. Let t be c/4*(-24)/15. Factor -2/5*a**2 + t - 2/5*a.
-2*(a - 1)*(a + 2)/5
Factor -268/21 + 178/7*i - 88/7*i**2 - 2/21*i**3.
-2*(i - 1)**2*(i + 134)/21
Let v(q) be the second derivative of q**7/336 + q**6/60 - 59*q**5/160 + 89*q**4/48 - 53*q**3/12 + 11*q**2/2 + 10*q - 22. Factor v(z).
(z - 2)**3*(z - 1)*(z + 11)/8
Let j(q) be the first derivative of -q**4/9 - 4*q**3/9 - 2*q**2/3 - 10*q + 3. Let l(n) be the first derivative of j(n). Find v such that l(v) = 0.
-1
Let f be 8*147/28*4/18. Factor -8 - f*x**2 - 92/3*x.
-4*(x + 3)*(7*x + 2)/3
Let x(d) = d**3 + 17*d**2 - d - 14. Let m be x(-17). Let z(q) be the first derivative of -2/3*q**m + 2 + 1/2*q**2 - 4/5*q**5 - 7/4*q**4 + 0*q. Factor z(t).
-t*(t + 1)**2*(4*t - 1)
Factor -5*w**2 - 5*w**3 + 33 - 22502*w + 22547*w + 12.
-5*(w - 3)*(w + 1)*(w + 3)
Let u = -300 + 902/3. Solve -4/3 - 2/3*p + u*p**2 = 0.
-1, 2
Let r(t) = 5*t - 23. Let k be r(5). Solve 116*x**2 - 58*x**k + 3*x**4 - 61*x**2 = 0.
-1, 0, 1
Let n(s) be the first derivative of s**7/35 + 4*s**6/25 + 3*s**5/10 + s**4/5 - 30*s + 32. Let l(f) be the first derivative of n(f). Factor l(v).
6*v**2*(v + 1)**2*(v + 2)/5
Let u(b) = 30*b**2 + 33*b - 56. Let m(o) = 55*o**2 + 64*o - 113. Let n(c) = -4*m(c) + 7*u(c). Let n(w) = 0. What is w?
-4, 3/2
Suppose 4 - 1 = t. Determine a so that -65*a**3 + 8*a + 21*a**2 + 135*a**t + 0*a + 27*a**2 = 0.
-2/5, -2/7, 0
Suppose -87/7*i + 30/7 - 3*i**3 + 81/7*i**2 - 3/7*i**4 = 0. Calculate i.
-10, 1
Let y(f) be the second derivative of f**4/2 - 5*f**3/4 + 3*f**2/4 + 2*f + 6. Let y(a) = 0. What is a?
1/4, 1
Let c(a) be the second derivative of -1/16*a**4 + 0 + 4*a + 0*a**2 - 1/6*a**3 + 1/80*a**5. Let c(p) = 0. Calculate p.
-1, 0, 4
Let d(u) = u**3 - 5*u**2 + 4*u - 10. Let n be d(4). Let o be ((-35)/(-15))/7 + 2/n. Factor o*c + 4/5*c**2 + 0.
2*c*(6*c + 1)/15
Let h(w) be the third derivative of 0 - 1/30*w**5 + 43*w**2 - 1/12*w**4 + 2/3*w**3 + 0*w. Suppose h(a) = 0. What is a?
-2, 1
Factor 3 + 0*p**2 + 8*p + 18*p + 12*p**2 + 1.
2*(p + 2)*(6*p + 1)
Let r(z) = z**2 - 6*z + 8. Let o(d) = -d**2 + 6*d - 8. Let q(j) = -2*o(j) - 3*r(j). Factor q(a).
-(a - 4)*(a - 2)
Determine m so that -1 - 1/6*m**4 + 1/6*m**3 + 7/6*m**2 - 1/6*m = 0.
-2, -1, 1, 3
Let r = 67 - 65. What is s in s - 46*s**r - 10*s + 12 + 43*s**2 = 0?
-4, 1
Factor 18/5*f**3 + 18*f**2 + 30*f + 50/3.
2*(3*f + 5)**3/15
Let g = -1506 + 13556/9. Factor 0*c**3 + 4/9*c**2 - g*c**5 + 0 - 4/9*c**4 + 2/9*c.
-2*c*(c - 1)*(c + 1)**3/9
Suppose -n = -3*h - 12, -4*h + 7*h = 3*n - 42. Suppose 5*x - 4*b - 26 = 0, -n*x + 11*x + 5*b = -28. Factor 2/7*t**x - 4/7*t - 6/7.
2*(t - 3)*(t + 1)/7
Let k(s) be the third derivative of -s**5/180 + s**4/24 + 2*s**3/9 - s**2 + 30. Determine w, given that k(w) = 0.
-1, 4
Let o(b) be the third derivative of b**8/1008 + b**7/105 - b**6/120 - b**5/9 - b**4/6 - 119*b**2. Suppose o(f) = 0. What is f?
-6, -1, 0, 2
Let z(r) be the first derivative of 0*r**4 + 0*r - 6 + 0*r**2 + 7/3*r**3 - 1/360*r**6 + 1/60*r**5. Let s(g) be the third derivative of z(g). Factor s(k).
-k*(k - 2)
Let h(g) = -g**2 + g. Let w(n) be the first derivative of -2*n**3/3 - 3*n**2 - 6*n - 2. Let y(z) = -h(z) + w(z). Factor y(d).
-(d + 1)*(d + 6)
Let k(p) be the first derivative of p**6/21 - 3*p**4/14 - 4*p**3/21 + 60. Factor k(d).
2*d**2*(d - 2)*(d + 1)**2/7
Suppose 23*u = 35*u - 48. Let g(a) be the third derivative of 3/8*a**u + 0 + 4*a**2 + 0*a + 1/40*a**6 - 1/4*a**5 + 9/2*a**3. Find x such that g(x) = 0.
-1, 3
Let g = -38309 - -38309. Factor g + q - 7/6*q**2.
-q*(7*q - 6)/6
Let r(v) be the third derivative of v**8/1008 + v**7/315 - v**6/10 + 43*v**5/90 - 77*v**4/72 + 4*v**3/3 - 8*v**2 + 3*v. Let r(u) = 0. What is u?
-8, 1, 3
Let j be (-24)/(-10) + 3*(-2)/15. Factor -3*b**4 + 4*b**5 + 6*b**4 - 4*b**j + 2*b**5 - 7*b**5.
-b**2*(b - 2)**2*(b + 1)
Let p(g) = g**2 - 41*g + 2. Let z be p(41). Let f(k) be the second derivative of 0 - 1/3*k**4 - 4/3*k**3 + 0*k**z - 3*k. Factor f(s).
-4*s*(s + 2)
Let o(z) be the third derivative of -z**5/10 + 11*z**4/40 - z**3/10 - 32*z**2. Determine v, given that o(v) = 0.
1/10, 1
Let x(p) be the first derivative of -1/40*p**5 + 0*p**4 - 7 + 1/12*p**3 + 0*p**2 - 4*p. Let r(m) be the first derivative of x(m). Find b such that r(b) = 0.
-1, 0, 1
Let d = 1279/6 + -213. Let j(n) be the second derivative of 0*n**2 + 6*n + 0 + d*n**3 + 81/80*n**5 - 3/4*n**4. Factor j(t).
t*(9*t - 2)**2/4
Let l(j) be the second derivative of -j**7/168 - j**6/72 - 2*j**4/3 + 5*j. Let r(i) be the third derivative of l(i). Determine n, given that r(n) = 0.
-2/3, 0
Suppose 2*q = -2*v + 4, 3*q = 7*q - 5*v - 17. Factor -3 - 9*p**2 - 4*p + 3*p**3 + q*p + 10*p.
3*(p - 1)**3
Let h(r) be the third derivative of r**5/210 + 5*r**4/84 - 2*r**3/7 - 31*r**2. Factor h(z).
2*(z - 1)*(z + 6)/7
Let k(x) be the second derivative of 7*x**5/40 + 23*x**4/24 + x**3/2 - 10*x - 27. Solve k(w) = 0.
-3, -2/7, 0
Let w(v) = 4*v**3 - 2*v**2 - 6*v + 3. Let i = -31 + 35. Let f(j) = -5*j**3 + 2*j**2 + 7*j - 4. Let h(o) = i*w(o) + 3*f(o). Find z, given that h(z) = 0.
-1, 0, 3
Let k(n) = -n**2 - 13*n - 16. Let d be k(-11). Suppose 0*o = 3*o - d. Factor h**2 + 2*h + o*h + 0*h - 5*h.
h*(h - 1)
Factor -2*n**4 + 132*n**2 - 124*n + 132*n**3 + 2*n**4 + 4*n**4 + 105*n**3 + 40 - 289*n**3.
4*(n - 10)*(n - 1)**3
Let t(l) = 18*l**2 - 13*l + 37. Let v(f) = -14*f**2 + 14*f - 36. Let n(d) = -3*t(d