 5*a**4/22 + a**3/33 - 131*a**2. Solve c(s) = 0.
-1/15
Let c(s) be the third derivative of -2*s**7/105 - 4*s**6/15 + s**5/5 + 11*s**4/3 - 32*s**3/3 + 351*s**2. Factor c(f).
-4*(f - 1)**2*(f + 2)*(f + 8)
Let x be (-120)/(-256)*(-318)/75 + 2. Let a(n) be the third derivative of 0 - x*n**5 - 1/32*n**4 + 0*n**3 - 6*n**2 + 0*n. Determine w so that a(w) = 0.
-1, 0
Suppose 5*a = x + 2*x - 6, -3*x = 4*a - 6. Factor 4*j - 3*j + x*j + 3*j**2 - 15*j.
3*j*(j - 4)
Let u be 0/(-1)*(-170)/(-510). Factor 18/7*y**3 + 3/7*y**5 + u + 3/7*y + 12/7*y**2 + 12/7*y**4.
3*y*(y + 1)**4/7
Let i(w) be the third derivative of 1/105*w**7 + 13/30*w**5 + 0 + 0*w - 1/10*w**6 + 4/3*w**3 - 10*w**2 - w**4. Solve i(u) = 0 for u.
1, 2
Suppose v - 100 = 4*d, 3*v - 100 = 4*d - 2*v. Let m = d - -27. Factor 3*z**2 + 8*z - 3*z**m - 2*z**3.
-2*z*(z - 2)*(z + 2)
Let m(k) be the third derivative of -k**5/80 - 7*k**4/16 - 33*k**3/8 - 47*k**2 - 3. Find h, given that m(h) = 0.
-11, -3
Suppose -2*a - a + 120 = 0. Suppose -a*f + 41*f = 2. Find c, given that -105*c**3 + 114*c**3 - 28*c**4 + 6 + 69*c**f + 39*c + c**4 = 0.
-1, -1/3, 2
Solve -c + 13*c + 6*c - 8*c - 4*c**2 + 2*c = 0.
0, 3
Suppose 4*x - 5*o = -5, -2*x - 4*o - 6 = -10. Factor x*f - 1/2*f**2 + 0 - f**3.
-f**2*(2*f + 1)/2
Let n(b) be the first derivative of 3*b**5/5 - 27*b**4/4 + 324. Determine o, given that n(o) = 0.
0, 9
Suppose -4*n**5 + 12*n**4 + 20*n**3 - 7*n - 10*n**2 - 2*n**2 - 9*n = 0. Calculate n.
-1, 0, 1, 4
Find n such that -22/9*n**2 - 2 - 2/9*n**3 - 38/9*n = 0.
-9, -1
Let z be -3 + -1 + 3 + (-1 - -4). Let a be (32 - 29) + (1 - z). Suppose 0*v + 0 + 3/2*v**a + 3/4*v**4 + 9/4*v**3 = 0. What is v?
-2, -1, 0
Let q = 140/6749 - -29228099/87737. Let w = q + -333. Factor -w*s**3 + 0 + 2/13*s**4 - 2/13*s**2 + 2/13*s.
2*s*(s - 1)**2*(s + 1)/13
Let l(q) be the third derivative of 0*q**4 + 1/15*q**5 - 1/105*q**7 + 23*q**2 + 0 + 0*q**6 + 0*q - 1/3*q**3. Determine o so that l(o) = 0.
-1, 1
Let t(a) = -6*a**4 + 21*a**3 - 37*a**2 + 22*a - 6. Let x be ((-9)/2)/(3 + (-18)/8). Let o(r) = r**4 + r + 1. Let i(k) = x*o(k) - 3*t(k). Solve i(f) = 0.
1/4, 1, 2
Let j be (-70)/(-8) - (-30 - 477/(-18)). Factor -7/2*l + 1/4*l**2 + j.
(l - 7)**2/4
Suppose -2*p = 2 - 14. Let f be (-1)/(p/(-8)*(-9)/(-27)). Solve 0 + 2*c**3 - 2*c**2 + 2/3*c - 2/3*c**f = 0.
0, 1
Suppose -63 + 6*v - 1/7*v**2 = 0. What is v?
21
Let d = 6 - 2. Factor 0*n - 4 - 6*n**2 + d*n**3 - 3*n**3 - 2*n + 11*n.
(n - 4)*(n - 1)**2
Let b(d) = 25*d + 525. Let t be b(-21). Factor -2/7*v**5 + 0*v**4 + 2/7*v**3 + t*v + 0*v**2 + 0.
-2*v**3*(v - 1)*(v + 1)/7
Let i(s) be the first derivative of 4 + 0*s**4 + 0*s**2 + s + 0*s**3 + 1/10*s**5. Let l(c) be the first derivative of i(c). Let l(b) = 0. Calculate b.
0
Factor -1594323/4*x**3 - 59049/4*x**2 - 3/4 - 729/4*x.
-3*(81*x + 1)**3/4
Let u(d) be the third derivative of -d**7/840 - d**6/240 + d**5/80 + d**4/12 + d**3/6 - d**2 + 16*d. Let u(o) = 0. What is o?
-2, -1, 2
Let p = -93 - -93. Let u(d) be the second derivative of 1/30*d**6 - 1/10*d**5 + 0*d**3 + 0*d**2 + 6*d + p + 1/12*d**4. What is b in u(b) = 0?
0, 1
Suppose 0 = 2*f + 2*m + 136 - 128, 5*f = 4*m + 34. Solve 25/4*c + 5/4*c**f - 15/2 = 0 for c.
-6, 1
Find t such that 25/6*t**4 + 0 + 35/6*t**2 - 20*t**3 + 5/3*t**5 + 25/3*t = 0.
-5, -1/2, 0, 1, 2
Let b(q) be the second derivative of q**6/180 - 7*q**5/30 + 13*q**4/36 + 7*q**3/9 - 9*q**2/4 - 306*q. Let b(r) = 0. Calculate r.
-1, 1, 27
Let u = -7 + 12. Suppose 3*s - 4 - 7 = -2*z, u*s - 19 = -4*z. Suppose -s - 7*n**2 + 3*n**3 + 2*n + 4*n**2 + 7*n - 6*n**2 = 0. Calculate n.
1
Suppose -7*v = -8*v - 3*g + 12, -38 = -4*v - 2*g. Let z(d) be the first derivative of -3/10*d**2 + v - 2/5*d - 1/15*d**3. Solve z(p) = 0 for p.
-2, -1
Let p(z) = -z**5 - 15*z**4 - 45*z**3 + 77*z**2 + 44*z - 64. Let w(m) = m**3 - m**2 - 2*m. Let i(t) = -3*p(t) + 6*w(t). Find r such that i(r) = 0.
-8, -1, 1
Let h be ((-54)/10)/(2/(50/(-5))). Let f = -188/7 + h. What is q in f*q + 0 + 2/7*q**2 + 1/7*q**3 = 0?
-1, 0
Let c(a) be the second derivative of a**4/108 - 17*a**3/54 + 8*a**2/9 + 3*a - 3. Determine r, given that c(r) = 0.
1, 16
Let k = -650 + 652. Let j(b) be the second derivative of -1/24*b**4 - 1/40*b**5 + 1/84*b**7 + 1/60*b**6 + 0*b**3 + 0 + 0*b**2 + k*b. Factor j(h).
h**2*(h - 1)*(h + 1)**2/2
Let l(a) = -11*a**4 + 32*a**3 - 72*a**2 + 58*a - 28. Let p(o) = o**4 + o + 2. Let u(d) = l(d) + 6*p(d). Suppose u(k) = 0. Calculate k.
2/5, 2
Let r(y) be the second derivative of 5*y**7/14 - 7*y**6/3 + 23*y**5/4 - 20*y**4/3 + 10*y**3/3 + 572*y. Let r(o) = 0. What is o?
0, 2/3, 1, 2
Let a(s) = -4*s**4 - 8*s**3 + 6*s**2 + 8*s + 2. Let q(d) = d**2 + 1. Let b(j) = -3*j**2 - 3. Let m(x) = 3*b(x) + 8*q(x). Let n(y) = -a(y) - 2*m(y). Factor n(c).
4*c*(c - 1)*(c + 1)*(c + 2)
Let q(d) be the first derivative of 0*d**2 + 3/2*d - 1/8*d**3 + 5. Factor q(z).
-3*(z - 2)*(z + 2)/8
Solve -15*h**3 - 5*h**3 - 5*h**4 - 219*h**2 + 204*h**2 = 0.
-3, -1, 0
Let r be 5206/76*((-8)/(-10))/(-2). Let o = 28 + r. Factor 0 - 3/5*g**2 + 6/5*g + o*g**4 - 6/5*g**3.
3*g*(g - 2)*(g - 1)*(g + 1)/5
Let c(s) = -5*s**2 - 4*s. Let m(l) = -4*l + 11*l + 9*l**2 + l. Let o = -97 - -102. Let g(q) = o*c(q) + 3*m(q). Determine k so that g(k) = 0.
-2, 0
Let y be (4/6)/(13/(-39)). Let a = 4 + y. Factor 5*m**2 + 2*m**3 + 0*m**2 - m**2 + a*m + 0*m**2.
2*m*(m + 1)**2
Let b(m) be the first derivative of 0*m**5 + 2 - 1/30*m**6 + 1/12*m**4 - m + 0*m**2 + 0*m**3. Let o(l) be the first derivative of b(l). Factor o(q).
-q**2*(q - 1)*(q + 1)
Let u = 1736 - 1734. Let i(k) be the third derivative of -2/3*k**3 + 0*k + 5/12*k**4 - 6*k**u + 7/30*k**5 + 0. Factor i(t).
2*(t + 1)*(7*t - 2)
Suppose p - 2*r - 7 = 0, 2*r + 4 = -0*r. Suppose 0 = -12*w + p*w. Factor w*x - 1/4*x**3 + 0 + 0*x**2.
-x**3/4
Determine g so that -2/21*g**5 + 4/7 + 22/21*g + 0*g**2 - 20/21*g**3 - 4/7*g**4 = 0.
-3, -2, -1, 1
Suppose -83*m - 244 = -298*m + 93*m. Determine u so that -1/2*u**2 + 1/4*u**3 + m - u = 0.
-2, 2
Let f(w) be the third derivative of w**7/1155 - 29*w**6/660 + 13*w**5/55 + 201*w**2 - 1. Factor f(x).
2*x**2*(x - 26)*(x - 3)/11
Suppose -2*w + 29 = w + 2*y, -2*y = 4*w - 42. Suppose -w*h + 18*h - 10 = 0. Factor 68/7*f**h - 18/7*f**3 - 8*f - 16/7.
-2*(f - 2)**2*(9*f + 2)/7
Determine b so that -76*b**2 - 187 - 5*b**3 + 18*b**4 + 5*b**5 + 167 - 3*b**4 + 21*b**2 - 60*b = 0.
-2, -1, 2
Let y = -33 + 36. Factor -75*v**2 - 25*v**4 - 5 + 5*v**4 - 15*v - 20*v - 65*v**y.
-5*(v + 1)**3*(4*v + 1)
Let h(w) = w**3 + 4*w**2 + 2*w - 1. Let p(i) = 2*i**3 + 5*i**2 + 2*i. Let l(m) = -3*h(m) + 2*p(m). Let b be l(1). Factor 0 - 2/5*n**2 - 2/5*n**3 + b*n.
-2*n**2*(n + 1)/5
Factor 81/4*n + 11/4*n**3 - 1/4*n**4 - 27/2 - 45/4*n**2.
-(n - 3)**3*(n - 2)/4
Let m(f) be the second derivative of f**7/8820 + f**6/840 - f**5/105 - 7*f**4/4 - 21*f. Let o(u) be the third derivative of m(u). Factor o(c).
2*(c - 1)*(c + 4)/7
Let o(a) be the second derivative of -2*a**6/15 + 2*a**5 + 11*a**4/3 + 8*a + 2. What is h in o(h) = 0?
-1, 0, 11
Suppose 282 = 42*c + 72. Factor 4/11*q**2 + 6/11*q + 2/11 - 6/11*q**4 - 2/11*q**c - 4/11*q**3.
-2*(q - 1)*(q + 1)**4/11
Let o(f) be the second derivative of f**6/540 - f**5/90 + f**4/36 - 2*f**3 - 8*f. Let u(h) be the second derivative of o(h). Factor u(v).
2*(v - 1)**2/3
Let d(x) be the first derivative of -x**6/3 + 2*x**5 - 4*x**4 + 8*x**3/3 - 139. Determine k so that d(k) = 0.
0, 1, 2
Suppose 13*k - 15*k = -6. Factor -37*n**3 + 20*n + 78*n**k - 8*n**2 + 24 - 45*n**3.
-4*(n - 2)*(n + 1)*(n + 3)
Let d = 142 + -69. Suppose 0 = -5*o + 2*r + 102 + 80, -2*o = -r - d. Factor -19*w + 0 - 21*w - o*w**2 - 4*w - 8.
-4*(w + 1)*(9*w + 2)
Let o = 57 + -51. Solve -2*r**4 - 164 + 164 + r**4 + 7*r**2 - o*r = 0 for r.
-3, 0, 1, 2
Factor -62*v + 4*v**2 - 240 + 16*v**2 + 96 - 2*v**3 - 48*v + 86*v.
-2*(v - 6)**2*(v + 2)
Let t be 11 + 24/(-120) + (-1832)/190. Solve -t*v + 6/19*v**2 - 8/19 = 0 for v.
-1/3, 4
Suppose 5*w - 17 = -j + 4, -2*j + 4*w = 0. Factor 8*x**4 + 5*x**3 - 2*x**5 - j*x**4 - 3*x**3 - 2*x**2 + 0*x**5.
-2*x**2*(x - 1)**2*(x + 1)
Suppose 0 = 3*p - 37 + 13. What is v in 95*v**4 - 4*v**5 + 4*v**3 + 100*v**4 - p*v**2 - 187*v**4 = 0?
-1, 0, 1, 2
Let r(j) = -15*j**3 + 54*j**2 - 24*j - 20. Let p(m) = -3*m - 1. Let h(g) = 4*p(g) + r(g). Factor h(n).
-3*(n - 2)**2*(5*n + 