t**4 - 6*t + 6*t**m - 18 - 24 - 24*t**2 = 0.
-1, 3/5, 1
Suppose o + 4*x - 28 = 0, -4*o - 50*x + 46*x + 28 = 0. Find c, given that -4/5*c**2 - 8/5*c**3 + 4/5*c**4 + o + 8/5*c = 0.
-1, 0, 1, 2
Let y(m) = m**5 - m**2 - m - 1. Let d(v) = -12*v**5 + 8*v**4 - 10*v**3 + 14*v**2 + 10*v + 10. Let q = -21 - -11. Let h(z) = q*y(z) - d(z). Factor h(u).
2*u**2*(u - 2)*(u - 1)**2
Let b(y) = -4*y**2 - 6*y + 1. Let j(p) be the third derivative of p**5/12 + 7*p**4/24 + 16*p**2. Let t(f) = -4*b(f) - 3*j(f). Determine o, given that t(o) = 0.
-4, 1
Let s(u) be the third derivative of u**6/240 + u**5/6 + 13*u**4/48 - 169*u**3/2 - 245*u**2. Factor s(x).
(x - 6)*(x + 13)**2/2
Let t(q) be the second derivative of -q**6/1980 + q**5/220 - 7*q**3/2 - 25*q. Let n(u) be the second derivative of t(u). Factor n(p).
-2*p*(p - 3)/11
Let x be (70/165)/(-7) - 3264/(-1584). What is j in 8 + x*j + 1/8*j**2 = 0?
-8
Let d(j) be the second derivative of j**5/30 + 5*j**4/12 + 4*j**3/3 + 47*j**2/2 - 45*j. Let w(o) be the first derivative of d(o). Factor w(c).
2*(c + 1)*(c + 4)
Suppose 0 = -6*m - 9 + 33. Let z be (3 + 0)*m/6. Factor -1/8*t**3 - 3/8*t**4 + 0 - 1/2*t + t**z.
-t*(t - 1)*(t + 2)*(3*t - 2)/8
Let a(n) be the second derivative of -n**5/90 + 19*n**2/2 + 14*n. Let x(t) be the first derivative of a(t). Solve x(l) = 0.
0
Suppose -12*c = 11*c - 2116. Let o = c - 367/4. Let -1/2 - o*d**3 + 0*d**2 + 3/4*d = 0. What is d?
-2, 1
Suppose 4*a = 9*a - 3*r, -4*a + 2*r = -2. Factor -4/7*m**a + 0 + 4/7*m - 4/7*m**4 + 4/7*m**2.
-4*m*(m - 1)*(m + 1)**2/7
Let n(k) be the first derivative of 1/30*k**6 - 3/25*k**5 + 1/20*k**4 - 1/5*k**2 + 1/5*k**3 + 0*k + 5. Solve n(g) = 0.
-1, 0, 1, 2
Let p(m) be the second derivative of -1/33*m**4 - 1/33*m**3 + 18*m + 0 + 3/11*m**2. Factor p(s).
-2*(s - 1)*(2*s + 3)/11
Let g(z) be the second derivative of -17*z + 1/14*z**4 + 1/7*z**2 + 0 - 1/70*z**5 - 1/7*z**3. Factor g(c).
-2*(c - 1)**3/7
Factor 2/5*g**3 + 0*g - 32/5*g**2 + 0.
2*g**2*(g - 16)/5
Let x(r) be the second derivative of 21*r**5/160 - 89*r**4/32 - 31*r**3/4 - 21*r**2/4 - 13*r - 2. Factor x(a).
3*(a - 14)*(a + 1)*(7*a + 2)/8
Let v be (7 - (-1 + (-7 - -12))) + 1. Let r(m) be the first derivative of 0*m + 0*m**2 + 9 + m**3 - 3/4*m**v. Factor r(g).
-3*g**2*(g - 1)
Let v be 10/(-25) - (-37)/5. Let i(h) = 4*h**2 + 4*h + 6. Let l(z) = -5*z**2 - 4*z - 6. Let b(q) = v*i(q) + 6*l(q). Factor b(g).
-2*(g - 3)*(g + 1)
Let s = -10 - -13. Let -6*g - 2*g - 4*g**2 + 8*g**s + 9 - 5 = 0. What is g?
-1, 1/2, 1
Let q be (-4)/24 - 55/(-150). Let c(i) = -i**3 + 10*i**2 - 9*i + 5. Let t be c(9). Factor 1/5*b**t + 2/5*b**4 + q*b**3 + 0*b**2 + 0*b + 0.
b**3*(b + 1)**2/5
Let g(q) be the second derivative of -q**4/54 + 4*q**3/9 - 11*q**2/9 - 26*q - 5. Suppose g(f) = 0. Calculate f.
1, 11
Let s(d) be the second derivative of -d**8/1344 + d**4/3 - 5*d. Let n(y) be the third derivative of s(y). Let n(i) = 0. Calculate i.
0
Let t(l) = -84 - 3*l**3 - 42*l**2 - 25*l - 110*l + 39*l. Let s(z) = -z**2 + 1. Let m(d) = -12*s(d) + t(d). Let m(j) = 0. What is j?
-4, -2
Let 1465*s**5 - 20*s**3 - 3066*s**5 + 75*s - 120*s**4 + 10 + 110*s**2 + 1546*s**5 = 0. Calculate s.
-1, -2/11, 1
Let c(j) be the third derivative of 1/240*j**6 + 1/360*j**5 + 0*j**3 + 0 + 0*j + 1/2016*j**8 + 0*j**4 - 10*j**2 + 1/420*j**7. Factor c(g).
g**2*(g + 1)**3/6
Factor -4*m**2 + 2*m**2 - 30 + 4*m**2 - m**2 + 29*m.
(m - 1)*(m + 30)
Let k(h) be the second derivative of -h**8/4480 - h**7/840 - h**6/480 - 4*h**4/3 - 18*h. Let p(a) be the third derivative of k(a). Find w such that p(w) = 0.
-1, 0
Let -699*m**2 + 17*m**3 + 692*m**2 - 147*m - m**4 - 6*m**3 = 0. What is m?
-3, 0, 7
Let b(g) be the first derivative of g**6/1080 + g**5/45 + 7*g**4/72 - 6*g**3 + 44. Let a(s) be the third derivative of b(s). Solve a(c) = 0 for c.
-7, -1
Let u = 3 + 0. Let -4*q + 0 + 0 + 0 + 4*q**u = 0. What is q?
-1, 0, 1
Let v be ((-2688)/63)/(-16)*3/2. Solve 0*a + 2/5*a**v - 4/5*a**2 + 2/5*a**3 + 0 = 0.
-2, 0, 1
Let o(v) = 2*v - 3. Let p be o(4). Determine l, given that 2 + p*l - 10*l**2 - 13*l**2 + 26*l**2 = 0.
-1, -2/3
Determine x so that -11*x**2 - 38/7*x + 31/7*x**3 + 61/7*x**4 + x**5 + 16/7 = 0.
-8, -1, 2/7, 1
Suppose -3*l + 6*l + 9 = 0. Let y be (l/9)/(1/(-9)). Factor -64*a - 36*a**3 - 84*a**2 - 5 + y - 14.
-4*(a + 1)*(3*a + 2)**2
Let d(g) be the third derivative of -2*g**7/105 + g**6/30 + 2*g**5/15 + 2*g**2. Solve d(t) = 0.
-1, 0, 2
Solve -84*t**3 - 261*t**2 - 224548*t**5 + 77*t**2 + 224544*t**5 + 96*t**4 = 0.
-1, 0, 2, 23
Let b(j) be the first derivative of -9*j**4/4 - 7*j**3 - 15*j**2/2 - 3*j - 299. Determine d so that b(d) = 0.
-1, -1/3
Let z be (4/14)/(4/28). Find y such that 8*y**z + y + 0*y + 3*y + 4*y**3 = 0.
-1, 0
Let m(t) = 21*t - 14. Let d be m(5). Let c be (-2)/(-7) + 156/d. Factor -2 + 5 + 4*u**c - 4*u - 11.
4*(u - 2)*(u + 1)
Suppose 46 = 13*n - 19. Let i(g) be the second derivative of 1/5*g**2 + 1/300*g**6 - 1/15*g**3 + 0 + 2*g + 1/100*g**n - 1/40*g**4. Find z such that i(z) = 0.
-2, 1
Let w(t) be the second derivative of t**5/90 - 2*t**4/9 - 11*t**3/3 - 18*t**2 - 602*t. Factor w(b).
2*(b - 18)*(b + 3)**2/9
Let r be (-3 + 2/1)/((-5)/4). Let h = 46/45 - r. Find o such that 0 + 2/9*o**3 + h*o**4 - 2/9*o**2 - 2/9*o = 0.
-1, 0, 1
Suppose -26*g = 87*g - 120 - 106. Let 1/2*v - 1/6*v**3 + 0*v**g + 1/3 = 0. Calculate v.
-1, 2
Let h(o) be the second derivative of o**4/12 + 43*o**3/6 + 35*o - 1. Solve h(n) = 0 for n.
-43, 0
Let t(g) be the third derivative of g**7/16380 - g**6/1170 + g**5/195 - 17*g**4/24 - 9*g**2. Let c(b) be the second derivative of t(b). Factor c(r).
2*(r - 2)**2/13
Let -2/9*i**4 + 14/9*i**3 - 28/9*i**2 + 16/9*i + 0 = 0. What is i?
0, 1, 2, 4
Let q(d) be the first derivative of -d**7/4200 - d**6/900 - d**5/600 + d**3 + 41. Let r(m) be the third derivative of q(m). Factor r(w).
-w*(w + 1)**2/5
Let k(v) be the third derivative of 5/108*v**4 - 1/270*v**5 + 0*v + 2/9*v**3 + 0 - 6*v**2. Solve k(y) = 0.
-1, 6
Let j = 9775/11609 - -1/11609. Find o, given that 92/19*o**2 + 14/19*o**4 - 66/19*o**3 - 24/19*o - j = 0.
-2/7, 1, 2
Let t be 15/20*(-2 - -6). Let m**3 + t - 12 + 9 - 2*m**2 = 0. What is m?
0, 2
Let x(b) be the second derivative of b**7/273 + 2*b**6/195 - 2*b**5/65 - b**4/39 + b**3/13 - 7*b - 5. Let x(q) = 0. Calculate q.
-3, -1, 0, 1
Let w(q) be the first derivative of 4*q**3 - 5 - 17/8*q**2 + 1/2*q - 45/16*q**4. Let w(p) = 0. Calculate p.
1/3, 2/5
Let m(f) = f - 17. Let u be m(7). Let h = u - -18. Solve -3 + h*y - 16/3*y**2 = 0 for y.
3/4
Let d(s) be the first derivative of 0*s**2 + 0*s + 11 + 2*s**3 - 1/16*s**4 + 1/240*s**6 + 0*s**5. Let y(x) be the third derivative of d(x). Factor y(b).
3*(b - 1)*(b + 1)/2
Suppose -278 = -72*r - 172 + 182. Factor 13/2*p**2 + 9/8 - 11/4*p**3 - 21/4*p + 3/8*p**r.
(p - 3)**2*(p - 1)*(3*p - 1)/8
Let p(i) = -i**2 + 40. Let c be p(-6). Find f such that -14/11*f**3 + 2/11*f**5 + 24/11*f - 16/11 + 0*f**c + 4/11*f**2 = 0.
-2, 1, 2
Let d = 255/182 + -3/26. What is r in d*r**3 - 3/7*r**4 - 3/7*r**2 + 6/7 - 9/7*r = 0?
-1, 1, 2
Factor 3/2*d - 5/3*d**2 + 0 + 1/6*d**3.
d*(d - 9)*(d - 1)/6
Let i(n) be the second derivative of n**9/3024 + n**8/448 - n**7/126 - 4*n**4/3 + 36*n. Let o(z) be the third derivative of i(z). Factor o(c).
5*c**2*(c - 1)*(c + 4)
Let n(r) = -r**3 + 5*r**2 - 5*r + 8. Let j be n(4). Determine o so that 3*o**4 - 28*o**3 + 6*o**j + 4*o**2 + 40*o**4 = 0.
0, 2/7
Factor -3 - 1 - 6 + 33*b**3 - 2 - 2*b - 78*b**2 + 59*b.
3*(b - 1)**2*(11*b - 4)
Let v(t) be the second derivative of -t**6/90 + 3*t**4/2 - 31*t**3/6 - 28*t. Let x(u) be the second derivative of v(u). Factor x(g).
-4*(g - 3)*(g + 3)
Let w(d) = -d**4 - 3*d**3 - 7*d**2 - 5*d - 4. Let a(z) = -z**2 - z - 1. Let h(c) = -4*a(c) + w(c). Factor h(j).
-j*(j + 1)**3
Let q(o) be the first derivative of o**5/40 - 3*o**4/32 + o**3/8 - o**2/2 - 4. Let i(b) be the second derivative of q(b). Factor i(m).
3*(m - 1)*(2*m - 1)/4
Let q(l) be the second derivative of -1/12*l**4 - 4/3*l**3 + 0 + 1/42*l**7 + 31*l - 2*l**2 + 1/6*l**6 + 7/20*l**5. Solve q(v) = 0 for v.
-2, -1, 1
Suppose 3*n = q + 94, -4*n = 2*q - 6*q - 112. Suppose -10*i + n = -17. Solve -4/11*y + 12/11*y**3 + 0 + 6/11*y**2 - 12/11*y**i - 10/11*y**4 = 0.
-1, 0, 1/2, 2/3
Factor -1492*k + 3*k**3 + 1492*k.
3*k**3
Let c = 24 - 