*(2*y + 1)/7
Let f = -28 - -38. Factor -10*r - 4 - 10*r - 5*r**4 + 19 + 20*r**3 - f*r**2.
-5*(r - 3)*(r - 1)**2*(r + 1)
Suppose -3*q + 3 = 5*u - 3, -2*u - 6 = -3*q. Let g(k) be the first derivative of 4/3*k**3 + 0*k + 8 + k**q + 1/2*k**4. Factor g(x).
2*x*(x + 1)**2
Let p be (-4)/(-18)*(5508/(-374))/(-18). Find t, given that 10/11 - p*t**2 + 8/11*t = 0.
-1, 5
Let p be 14/(-720)*(-1)/(98/21). Let q(v) be the third derivative of 0*v + 0 + p*v**5 + 1/840*v**7 + 0*v**3 - v**2 - 1/240*v**6 + 0*v**4. Factor q(m).
m**2*(m - 1)**2/4
Let b = 484/7 - 69. Suppose -1/7 - 1/7*z**3 + b*z**2 + 1/7*z = 0. What is z?
-1, 1
Let f = 57 - 47. Suppose 4*d + d - f = 0. Factor -6/13*m**d + 4/13 - 2/13*m.
-2*(m + 1)*(3*m - 2)/13
Suppose -20719*d = -20706*d - 65. Find w, given that 1/3*w**d + 0 + 2*w**3 + 40/3*w**2 + 25/3*w - 8/3*w**4 = 0.
-1, 0, 5
Let m(r) = 23*r**2 + 22*r - 17. Let q(o) = -6*o**2 - o. Let n(s) = -m(s) - 4*q(s). Factor n(d).
(d - 17)*(d - 1)
Let g(t) be the first derivative of -t**5/20 - t**4/2 - 533. Determine w, given that g(w) = 0.
-8, 0
Suppose -11/9*x**2 - 1/9*x**3 + 0 - 10/9*x = 0. What is x?
-10, -1, 0
Suppose -145 = -7*q + 135. Let c be 25/2*64/q. Factor -4*u**3 + c*u - 12*u**2 - 20*u.
-4*u**2*(u + 3)
Let x(z) be the first derivative of 0*z - 1/5*z**5 + z**4 - 5/3*z**3 - 13 + z**2. Factor x(i).
-i*(i - 2)*(i - 1)**2
Let 1/5 + 31/5*x**4 + 28/5*x**5 - 2/5*x - 26/5*x**3 - 32/5*x**2 = 0. Calculate x.
-1, -1/4, 1/7, 1
Solve 100/7*g + 1250/7 + 2/7*g**2 = 0.
-25
Let o = -23 + 28. Suppose 4*x - 2 = 3*d - o, -4*x + 32 = 4*d. Factor 0 - 4*z**x + 8*z**4 + 1/2*z**2 + 0*z.
z**2*(4*z - 1)**2/2
Let p(d) be the first derivative of 34/3*d**3 + 5*d**2 - 4*d - 12 - 10*d**4. Solve p(q) = 0 for q.
-2/5, 1/4, 1
Let l(q) be the first derivative of q**6/210 + q**5/105 - q**4/42 - 2*q**3/21 + 6*q**2 - 2. Let w(x) be the second derivative of l(x). Factor w(i).
4*(i - 1)*(i + 1)**2/7
Let z(t) be the third derivative of 0*t + 2*t**2 - 1/90*t**6 + 0 + 10/9*t**3 - 11/18*t**4 + 7/45*t**5. Let z(a) = 0. What is a?
1, 5
Let b(u) be the third derivative of -4/21*u**3 + 0 + 1/140*u**6 + 8*u**2 + 1/30*u**5 + 0*u**4 + 0*u. Factor b(d).
2*(d + 1)*(d + 2)*(3*d - 2)/7
Let q be ((-510)/1955)/((-6)/69). Find x such that 0*x**q + 0 + 0*x + 3/7*x**4 - 3/7*x**2 = 0.
-1, 0, 1
Suppose 0 = -k + 2*k - 12. Suppose 2*v - k + 2 = 0. Determine u so that -5*u**3 - v*u**3 - 6*u**5 + 4*u**2 + 4*u**5 + 0*u**3 + 8*u**4 = 0.
0, 1, 2
Factor 7*d**4 - 5*d**3 - 3051*d**2 + 20*d + 3031*d**2 - 2*d**4.
5*d*(d - 2)*(d - 1)*(d + 2)
Let a(o) be the second derivative of -14*o + 0*o**2 + 0 + 5/12*o**4 + 1/4*o**5 - 5/3*o**3. Let a(v) = 0. Calculate v.
-2, 0, 1
Suppose 2*r + 4*r = 96. Suppose 4*n**2 + 2 + r*n + 11 + 0 - 1 = 0. What is n?
-3, -1
Suppose -4*w = -w - 2*h + 1, 16 = 2*w + 2*h. Let u = 10 + -5. Find t, given that u*t**4 - 7*t**4 + 6*t**4 + 18*t**2 + 2 - 14*t**w - 10*t = 0.
1/2, 1
Let c(y) be the third derivative of 0 - 1/8*y**4 - 5*y**2 - 1/30*y**5 + 0*y - 1/6*y**3. Suppose c(v) = 0. What is v?
-1, -1/2
Suppose q + 4*k + 0*k - 100 = 0, -3*k = -12. Suppose -q*f = -81*f. Determine l, given that f*l**2 + 2/7*l**3 + 0 - 2/7*l = 0.
-1, 0, 1
Let k(n) be the first derivative of n**5/25 - n**4/5 + 4*n**3/15 - 108. What is p in k(p) = 0?
0, 2
Let b = 49/148 - 3/37. Let f(l) be the first derivative of 3/8*l**2 + 4 - b*l**3 + 0*l. Factor f(d).
-3*d*(d - 1)/4
Let p(z) be the third derivative of 0*z - 1/3*z**3 + 0 + 5/24*z**4 - 1/15*z**5 + 1/120*z**6 - 14*z**2. Find u, given that p(u) = 0.
1, 2
Let c(n) be the third derivative of 1/135*n**5 + 0*n**3 + 0*n + 0 + 24*n**2 - 1/540*n**6 - 1/108*n**4. Factor c(l).
-2*l*(l - 1)**2/9
Let u = 293 - 436. Let p = -143 - u. Suppose p*i**2 + 0*i + 0 - 1/6*i**4 + 1/3*i**3 = 0. What is i?
0, 2
Solve 3/4*g**4 + 48*g - 15/2*g**3 - 3*g**2 + 3/8*g**5 - 48 = 0.
-4, 2
Suppose 5*w = 2*w + 33. Suppose 2*z = -3*z + 10. Factor -4*f + 2 - 6*f**z + f**2 - 7*f**3 + w*f**3 + 3*f**2.
2*(f - 1)*(f + 1)*(2*f - 1)
Let r(u) be the first derivative of u**6/135 - u**4/54 + 12*u + 2. Let m(v) be the first derivative of r(v). Solve m(x) = 0 for x.
-1, 0, 1
Suppose -9 = 484*p - 487*p. Factor 1/6*r**4 + 4/3*r**2 - 3/2 - r + r**p.
(r - 1)*(r + 1)*(r + 3)**2/6
Let j(h) be the first derivative of h**4/10 - 22*h**3/15 - 16*h**2/5 + 128*h + 582. What is r in j(r) = 0?
-5, 8
Let q(v) be the second derivative of -1/5*v**6 + 1/42*v**7 + 0*v**4 + 0*v**3 - 5*v + 0*v**5 - 1 + 0*v**2. Factor q(m).
m**4*(m - 6)
Let f(s) be the second derivative of 0 + 1/3*s**4 - 2*s**2 + 6*s - 1/5*s**5 + 2/3*s**3. Suppose f(l) = 0. Calculate l.
-1, 1
Let d = -31360 + 125443/4. Factor 7/4*n - 1/2 - 1/2*n**2 - d*n**3.
-(n - 1)*(n + 2)*(3*n - 1)/4
Let o(u) be the first derivative of 4*u**5/5 - 7*u**4 - 292*u**3/3 - 130*u**2 + 636. Solve o(a) = 0.
-5, -1, 0, 13
Let y(f) = -4*f**3 + 4*f**2 + 2. Let i = 90 + -93. Let k(n) = -n**4 - 4*n**3 + 5*n**2 + 3. Let c(z) = i*y(z) + 2*k(z). Factor c(l).
-2*l**2*(l - 1)**2
Let m(s) = s**3 + s**2 - s - 1. Let q(k) = -5*k**4 - 42*k**3 - 7*k**2 + 417*k - 363. Let b(y) = -3*m(y) + q(y). Factor b(f).
-5*(f - 2)*(f - 1)*(f + 6)**2
Suppose 209*h - 220*h = 0. Factor 3/7*l**2 + h + 3/7*l.
3*l*(l + 1)/7
Let -130/11*i**3 - 2*i**4 + 16/11*i - 164/11*i**2 + 0 = 0. What is i?
-4, -2, 0, 1/11
Suppose -267/7*n + 30*n**4 - 921/7*n**3 + 960/7*n**2 + 18/7 = 0. What is n?
1/10, 2/7, 1, 3
Let c = -13 - -12. Let o be (7 + -1)*c/(-2). Suppose -14*j**2 + j**3 - 8*j + 5*j**2 - o + 17*j + 2*j**3 = 0. What is j?
1
Let s be 4/(-18)*-3 - (-35)/15. Factor 2*u**3 - 3*u - 2*u + 5 + 7*u**3 - 5*u**2 - 4*u**s.
5*(u - 1)**2*(u + 1)
Let c be (2 - 0) + ((-210)/(-75) - 4). Let -4/5*w + c - w**3 - 13/5*w**2 = 0. What is w?
-2, -1, 2/5
Find k, given that 25*k - 76*k**2 - 2*k**3 - 3*k**3 + 96*k**2 = 0.
-1, 0, 5
Let q(i) be the second derivative of 0*i**5 - 1/120*i**6 + 1/24*i**4 - 1/8*i**2 + 0*i**3 + 0 + 11*i. Solve q(c) = 0.
-1, 1
Let b(q) be the first derivative of -q**3/15 + 23*q**2/10 + 24*q/5 + 46. What is w in b(w) = 0?
-1, 24
Factor -7/4*k**3 + 0 - 1/4*k + 3/4*k**4 + 5/4*k**2.
k*(k - 1)**2*(3*k - 1)/4
Let u = 93 + -91. Let i(l) be the first derivative of 0*l - 2/35*l**5 + 0*l**3 + 1/14*l**4 - 1 + 0*l**u. Factor i(z).
-2*z**3*(z - 1)/7
Let k(m) be the second derivative of 1/40*m**6 + 3/8*m**2 - 3/40*m**5 + 1/56*m**7 - 3*m + 1/8*m**3 - 6 - 1/8*m**4. Factor k(a).
3*(a - 1)**2*(a + 1)**3/4
Let f(a) be the first derivative of a**5/120 - a**4/8 - 7*a**3/12 - 9*a**2 - 26. Let l(c) be the second derivative of f(c). Factor l(p).
(p - 7)*(p + 1)/2
Let d(b) = b**3 + 12*b**2 + 22*b - 43. Let l be d(-9). Factor 2/3*c**3 - 16/3*c**l + 32/3*c + 0.
2*c*(c - 4)**2/3
Let x(u) = -37*u**3 - 44*u**2 - 193*u - 144. Let v(q) = 105*q**3 + 133*q**2 + 578*q + 431. Let p(f) = -6*v(f) - 17*x(f). Factor p(o).
-(o + 1)*(o + 3)*(o + 46)
Let m(z) be the third derivative of z**5/20 - 7*z**4 + 392*z**3 + 20*z**2 + 3. Suppose m(w) = 0. Calculate w.
28
Let s(d) = -3*d**3 + 3*d**2 + 15*d + 9. Let i(q) = -5*q**3 + 4*q**2 + 23*q + 14. Suppose -5*x + 2 = 42. Let a(h) = x*s(h) + 5*i(h). Factor a(f).
-(f + 1)**2*(f + 2)
Suppose 5/4*z**4 - 40 + 5/2*z**3 - 50*z - 15*z**2 = 0. Calculate z.
-2, 4
Let n(d) be the second derivative of -d**4/9 + d**3/3 - d**2/3 + 44*d. Factor n(y).
-2*(y - 1)*(2*y - 1)/3
Suppose 10*s + 6018 = 6018. Factor -3/5*y**5 + s + 0*y + 1/5*y**3 + 4/5*y**4 - 2/5*y**2.
-y**2*(y - 1)**2*(3*y + 2)/5
Suppose 2*o - 14 = -4. Suppose 0 = 5*f + 5, o*f = u + 2*u - 11. Factor 1/4*i + i**u - 3/4.
(i + 1)*(4*i - 3)/4
Suppose 14 = 4*u - 2*z, -5*u + 187*z = 190*z - 34. Let q(w) be the first derivative of 0*w**2 + 0*w - 2/35*w**5 - u - 2/21*w**3 - 1/7*w**4. Factor q(x).
-2*x**2*(x + 1)**2/7
Let j be (-2)/12*(53 - 55). Suppose j*x**2 - 1/3*x**4 + 1/3*x**3 + 0 - 1/3*x = 0. What is x?
-1, 0, 1
Let l(y) = -4*y**2 - 176*y - 640. Let j be l(-40). Factor 0 + j*w**3 - 1/4*w**4 + 0*w - 1/4*w**5 + 0*w**2.
-w**4*(w + 1)/4
Let o(u) be the third derivative of -u**6/90 - 7*u**5/45 + 22*u**4/9 - 2*u**2 - 298*u. Let o(b) = 0. What is b?
-11, 0, 4
Let d be (-3 - 0) + (-9834)/(-30). Let p = 326 - d. Find r such that 9/5*r + 3/5*r**2 + p = 0.
-2, -1
Let p be (14/(-6))/(1015/(-870)). Solve -2/3 + 1/3*h**p - 1/3*h = 0.
-1, 2
Let n(c) = c**3 + 39*c**2 - 49*c - 358. Let g be n(-40). Find i suc