5*u - 24 = 6. Suppose -3*y**3 - 7*y - 2*y**4 + 7*y + y**5 + y**3 - u + y + 4*y**2 = 0. Calculate y.
-1, 1, 2
Factor 338*a**4 + 18*a**2 - 6*a - 12*a**3 - 336*a**4 - 2*a.
2*a*(a - 4)*(a - 1)**2
Let b(o) be the first derivative of o**3/3 + 5*o**2 + 9*o + 136. Determine v, given that b(v) = 0.
-9, -1
Let s be (0/(-6) - 0)*9/(-18). Suppose 6/7*n**3 - 2/7*n**2 + s*n + 2/7*n**5 + 0 - 6/7*n**4 = 0. Calculate n.
0, 1
Let 31*l**2 + 54/5*l - 3/5*l**3 - 104/5 = 0. Calculate l.
-1, 2/3, 52
Let w(d) be the third derivative of -d**6/15 + d**4/6 + d**3/3 + 13*d**2. Let f(b) = b**4 - 33*b**3 + b**2 + 15*b + 7. Let j(u) = 2*f(u) - 9*w(u). Factor j(n).
2*(n - 1)*(n + 1)**2*(n + 2)
Suppose -10*p + 13 + 7 = 0. Factor -2*t + 5*t + 0*t**p - t**3 + 2*t**2.
-t*(t - 3)*(t + 1)
Let c(v) be the third derivative of 0*v + 5/12*v**4 + 2/3*v**3 + 1/15*v**5 + 0 - 30*v**2. Factor c(k).
2*(k + 2)*(2*k + 1)
Let u(c) be the second derivative of -c**7/42 + c**6/10 + c**5/20 - 7*c**4/12 + 2*c**2 + 118*c. Find r, given that u(r) = 0.
-1, 1, 2
Let j(v) be the third derivative of 0*v + 0 - 1/60*v**6 + 1/4*v**4 - 9*v**2 + 0*v**3 - 1/15*v**5. Find a such that j(a) = 0.
-3, 0, 1
Let n(p) be the third derivative of p**8/1344 + p**7/168 + p**6/48 + p**5/24 - 5*p**4/8 - 4*p**2. Let k(o) be the second derivative of n(o). Factor k(m).
5*(m + 1)**3
What is u in -56*u - 5791*u**4 + 56*u + 5785*u**4 + 3*u**3 = 0?
0, 1/2
Let h(x) be the third derivative of -x**7/735 - x**6/42 - 2*x**5/35 + 6*x**4/7 + 136*x**2. Factor h(k).
-2*k*(k - 2)*(k + 6)**2/7
Let d be (2/(-24))/((-5)/(-120)*-9). Determine k so that 0 + d*k**4 - 2/9*k - 2/9*k**2 + 2/9*k**3 = 0.
-1, 0, 1
Let t(g) be the first derivative of g**6/40 + 7*g**5/100 - g**4/5 - 2*g**3/5 - 11*g**2/2 - 24. Let a(z) be the second derivative of t(z). Factor a(i).
3*(i - 1)*(i + 2)*(5*i + 2)/5
What is v in 2*v + 17/2*v**2 - 5/2*v**5 - 2 - 13/2*v**4 + 1/2*v**3 = 0?
-2, -1, 2/5, 1
Let n be ((-4)/10)/((-88)/132). Factor -48/5 - n*m**2 + 24/5*m.
-3*(m - 4)**2/5
Let h = -16561 + 248417/15. Determine g, given that -2/3*g + 8/15 + h*g**2 = 0.
1, 4
Let s(t) be the first derivative of -t**7/4200 - t**6/360 - t**5/100 + t**3 - 13. Let m(h) be the third derivative of s(h). Suppose m(n) = 0. What is n?
-3, -2, 0
Let -9/2*j**3 + 1/2*j**4 + 27/2*j**2 - 31/2*j + 6 = 0. Calculate j.
1, 3, 4
Let d = 62/5 + -7. Let g(w) be the first derivative of -3 + 0*w**2 + 0*w - d*w**5 - w**3 + 39/8*w**4. Factor g(z).
-3*z**2*(2*z - 1)*(9*z - 2)/2
Let n(f) be the third derivative of 1/330*f**5 + 0 + 12/11*f**3 - 1/11*f**4 + 0*f - 2*f**2. What is p in n(p) = 0?
6
Let k be (-3)/11 - (23 + 12029/(-506)). Suppose -k*t + 1 - 1/2*t**2 = 0. What is t?
-2, 1
Let h(a) be the third derivative of -a**7/1050 + a**6/225 + 7*a**5/150 + 2*a**4/15 + 6*a**3 - 47*a**2. Let v(t) be the first derivative of h(t). Factor v(u).
-4*(u - 4)*(u + 1)**2/5
Suppose 460*v**4 + 14*v**5 + 1 - 1 + 530*v**4 + 2*v**3 - 16*v - 60*v**2 - 930*v**4 = 0. Calculate v.
-4, -1, -2/7, 0, 1
Let w(k) be the second derivative of -1/12*k**4 - 1/30*k**5 + 4/9*k**3 - 12*k - 2/3*k**2 + 1/90*k**6 + 0. Solve w(j) = 0.
-2, 1, 2
Let w(y) = 62*y**3 - 61*y**3 + 4 - 3. Let x(z) = 3*z**3 + z**2 - z + 1. Let t(r) = -4*w(r) + 2*x(r). Solve t(j) = 0 for j.
-1, 1
Let l(j) = 6*j**2 + 46*j - 9. Let y(a) = -3*a**2 - 23*a + 4. Let q(f) = -4*l(f) - 7*y(f). What is h in q(h) = 0?
-8, 1/3
Factor -1/2*f**3 - 1/2*f**2 + 1/6*f**4 - 1 + 11/6*f.
(f - 3)*(f - 1)**2*(f + 2)/6
Let u(o) = -395*o**2 - 550*o - 110. Let f(l) be the first derivative of 6*l**3 + 25*l**2/2 + 5*l - 14. Let z(b) = 45*f(b) + 2*u(b). Factor z(v).
5*(v + 1)*(4*v + 1)
Let p(b) be the first derivative of b**4/22 - 16*b**3/33 + 60. Solve p(o) = 0.
0, 8
Let a = 297 - -54. Let g = a - 351. Factor 3/7*n**3 - 3/7*n**2 + g*n + 0.
3*n**2*(n - 1)/7
Let m(t) be the third derivative of 0*t**6 + 0*t - 2/165*t**5 + 1/1848*t**8 + 0*t**3 + 1/385*t**7 + 0*t**4 + 22*t**2 + 0. Let m(s) = 0. Calculate s.
-2, 0, 1
What is w in -2/5*w**5 - 252/5*w**3 + 0 + 686/5*w - 8*w**4 - 392/5*w**2 = 0?
-7, 0, 1
Suppose -8*u = -6*u. Let i(k) be the first derivative of 1/12*k**3 - k + u*k**2 + 4. What is d in i(d) = 0?
-2, 2
Let x(f) = 3*f**2 - 34*f - 47. Let l(u) = u - 1. Let o(j) = -5*l(j) + x(j). Let o(m) = 0. Calculate m.
-1, 14
Suppose 5 + 8*x + 12 - 62*x**2 - 1 - 90*x**3 - 22*x**2 = 0. What is x?
-2/3, 2/5
Suppose 3 = 3*w - f, -4*w - 4*f + 16 + 4 = 0. Suppose -w*a - j = j, 12 = 5*a - j. Factor 3*m**a - 4*m**2 + 0*m**2 + 0*m + m + 1 - m**3.
-(m - 1)*(m + 1)**2
Let y(k) = -4*k**3 + 11*k**2 + 3*k + 3. Let d = -92 + 95. Let f(q) = 4*q**3 - 12*q**2 - 4*q - 4. Let n(p) = d*f(p) + 4*y(p). Factor n(c).
-4*c**2*(c - 2)
Suppose -442 = -9*s + 22*s. Let m be (-3)/(-10) - 17/s. Solve 2/5*y**2 - m - 2/5*y = 0.
-1, 2
Let k(w) be the first derivative of 2/3*w**4 + 4 - 5/3*w**3 - 1/10*w**5 - 6*w + 2*w**2. Let g(a) be the first derivative of k(a). Factor g(t).
-2*(t - 2)*(t - 1)**2
What is q in 0 + 84/5*q - 172/5*q**2 + 92/5*q**3 - 4/5*q**4 = 0?
0, 1, 21
Let v(t) be the first derivative of 4/3*t**3 - 13 + 4*t**2 - t**4 + 0*t. Let v(y) = 0. Calculate y.
-1, 0, 2
Let c(h) = -h**3 - 8*h**2 + 4*h + 5. Let d(f) be the second derivative of f**5/10 + 2*f**4 - 2*f**3 - 7*f**2 - 40*f. Let x(i) = -10*c(i) - 3*d(i). Factor x(v).
4*(v - 1)*(v + 1)*(v + 2)
Suppose 4 = -4*b, 5*b + 15 = 2*h - 0*h. Let n(g) = -3*g - 2 + 0*g - 6*g**2 + h*g**3 + 0*g. Let a(y) = -y**3 + y**2 + y. Let m(i) = -6*a(i) - n(i). Factor m(k).
(k - 1)**2*(k + 2)
Let t(v) = 3*v**3 - v + 1. Let l be t(2). Factor 5*a**4 + 2*a**3 + l*a**2 - 38*a**2 + 10*a**4 - 2*a.
a*(a - 1)*(a + 1)*(15*a + 2)
Let d be 436/22 - (-38)/209. Factor d - n**3 - n - 55 + 13 + 16 + 4*n**2.
-(n - 3)*(n - 2)*(n + 1)
Let y(b) be the first derivative of -2 - 1/3*b**4 - 6*b - 2*b**2 - 4/3*b**3. Let c(q) be the first derivative of y(q). Factor c(o).
-4*(o + 1)**2
Let s = 260 + -256. Let c(a) be the second derivative of 0 + 1/12*a**3 - 1/24*a**s - 3*a + 0*a**2. Let c(o) = 0. What is o?
0, 1
Let c be (0 + -1)/(1/(-3) + 0). Suppose -f = -2*n - c*n, 0 = 5*f - 4*n. Solve f*u - 2/9*u**2 + 0 = 0.
0
Let j be (0 + 4)*117/234. Solve -5*o**3 + 8/3 + j*o - 59/3*o**2 = 0.
-4, -1/3, 2/5
Let m = 4/1093 - -43684/9837. Factor 4/9*d**2 - m*d + 100/9.
4*(d - 5)**2/9
Let q(g) = -15*g**3 + 4*g**2 + 66*g - 21. Let u(y) = -5*y**3 + y**2 + 23*y - 7. Let c(x) = -6*q(x) + 17*u(x). Determine w, given that c(w) = 0.
-1, 1, 7/5
Suppose 8/7*n**3 + 2/7*n**2 + 0 - 12/7*n + 2/7*n**4 = 0. What is n?
-3, -2, 0, 1
Let y(f) be the first derivative of 2*f**5/15 + 3*f**4/2 + 10*f**3/3 + 7*f**2/3 - 618. What is m in y(m) = 0?
-7, -1, 0
Let z = 101 - 96. Let r(a) = -2*a**2 + a**2 + 5*a**2. Let w(h) = 2*h**2. Let v(c) = z*w(c) - 3*r(c). Suppose v(f) = 0. What is f?
0
Let a(u) be the third derivative of -u**8/588 - 12*u**7/245 - 27*u**6/70 - u**2 - 2*u. Factor a(c).
-4*c**3*(c + 9)**2/7
Let v be 0/25*2/4. Solve -5*i**3 - i**5 + 0 + v*i + 9/2*i**4 + 3/2*i**2 = 0 for i.
0, 1/2, 1, 3
Suppose 12*j - 63 = 5*j. Suppose -j*a = -3*a. Suppose a*i + 0*i**2 + 1/4*i**3 + 0 + 1/8*i**5 - 3/8*i**4 = 0. What is i?
0, 1, 2
Let s(x) be the second derivative of 0 - 3/140*x**5 - 1/210*x**6 + 0*x**2 - 5*x + 0*x**3 + 0*x**4. Factor s(k).
-k**3*(k + 3)/7
Let h = -179599/100 - -1796. Let z(t) be the second derivative of 1/30*t**4 - 1/30*t**3 + 0 + 0*t**2 - 4*t - h*t**5. Find v such that z(v) = 0.
0, 1
Suppose 5*b - 5*p + 35 = 0, -6*b + b - 67 = 3*p. Let c = b + 11. Factor -9/4*y + c - 1/4*y**3 + 3/2*y**2.
-y*(y - 3)**2/4
Suppose -17 = -3*x + 1. Suppose -c**2 - 12 + 8*c - x + 2 = 0. What is c?
4
Let c(r) be the first derivative of 9 + 0*r - 1/2*r**4 - 1/2*r**3 - 1/6*r**5 - 1/6*r**2. Factor c(a).
-a*(a + 1)**2*(5*a + 2)/6
Let g be (-1)/3 + (8 - (-121)/(-33)). Let x(k) be the first derivative of -1/2*k**g - k**2 + 0*k + 4/3*k**3 - 3. Factor x(i).
-2*i*(i - 1)**2
Suppose -10*q + 83 = 33. Suppose 6/7*c**4 + 4/7*c**q + 0*c + 0 + 0*c**3 - 2/7*c**2 = 0. Calculate c.
-1, 0, 1/2
Let n(o) be the first derivative of -2*o**3/3 - 11*o**2 - 60*o + 491. Factor n(k).
-2*(k + 5)*(k + 6)
Let g(z) be the third derivative of 0*z**5 + 0*z**6 - 4*z**2 + 0*z**4 + 1/3*z**3 + 0 + 0*z + 1/2940*z**7. Let f(q) be the first derivative of g(q). Factor f(j).
2*j**3/7
Let g(s) be the second derivative of 1