*6 + 0*k. Solve l(d) = 0 for d.
-2/7, 0
Let t(n) = -24*n**4 + 2*n**3 + 13*n**2 + 9*n + 22. Let i(d) = -13*d**4 + d**3 + 7*d**2 + 5*d + 12. Let p(b) = -11*i(b) + 6*t(b). Factor p(o).
-o*(o - 1)**2*(o + 1)
Let t(p) be the first derivative of 11 + 2/9*p**2 + 1/6*p**4 + 10/27*p**3 + 0*p. Factor t(o).
2*o*(o + 1)*(3*o + 2)/9
Suppose -2*t = -60 - 6. Factor -2*s**4 + 3*s**3 - 25*s**5 - 7*s**4 + 12 + t*s**2 + 36*s + 22*s**5.
-3*(s - 2)*(s + 1)**3*(s + 2)
Let c(s) = -2*s**4 + 2*s**2 + 4. Let m(b) = -3*b**4 + b**3 + 2*b**2 + 5. Let j = 13 - 17. Let a(l) = j*m(l) + 5*c(l). Suppose a(v) = 0. Calculate v.
0, 1
Let h(d) be the second derivative of d**4/6 + d**3/3 - 56*d**2 + 698*d. Solve h(n) = 0.
-8, 7
Let u(f) be the second derivative of -2*f**7/63 - 22*f**6/45 + 4*f + 1. Factor u(r).
-4*r**4*(r + 11)/3
Let w = 797/1530 - 16/765. Let m = 10 + -8. Factor -w*k**m - 2*k + 0.
-k*(k + 4)/2
Let j(h) be the third derivative of h**6/600 + h**5/50 - 11*h**3/6 - 12*h**2. Let o(w) be the first derivative of j(w). Factor o(v).
3*v*(v + 4)/5
Let a(g) be the first derivative of -9*g**7/70 - 11*g**6/40 - g**5/10 + 5*g**2/2 + 1. Let v(x) be the second derivative of a(x). Factor v(k).
-3*k**2*(k + 1)*(9*k + 2)
Let q = 1500 - 1500. Factor q + 5/4*p**2 + 5/2*p.
5*p*(p + 2)/4
Let u(c) be the first derivative of -5*c + 18 - 10/3*c**3 + 5/2*c**4 + 5/6*c**6 + 3*c**5 - 15/2*c**2. Factor u(o).
5*(o - 1)*(o + 1)**4
Let m(w) = w**2 + 8*w + 1. Let k be m(-9). Suppose 3*l = k*l - 483. Factor l*v**2 - 12 + 24*v - 75*v**5 - 110*v**4 - 8*v**4 - 57*v**3 - 47*v**4.
-3*(v + 1)**3*(5*v - 2)**2
Let i(r) be the second derivative of -r**5/5 + r**4 + 4*r**3 - 16*r**2 - 4*r - 53. Factor i(o).
-4*(o - 4)*(o - 1)*(o + 2)
Let k be (-10*60/400)/(((-6)/2)/1). Factor 2/3*l - k - 1/6*l**2.
-(l - 3)*(l - 1)/6
Suppose -12*b - 15 = -15*b. Suppose b*x + 2*q = 9, 0 = -3*x + 5*x + 3*q + 3. Factor 81*y + 6 + 729/2*y**2 + 2187/4*y**x.
3*(9*y + 2)**3/4
Let a(l) be the first derivative of l**5/15 - 7*l**4/3 + 98*l**3/3 + 17*l**2 - 18. Let t(i) be the second derivative of a(i). What is d in t(d) = 0?
7
Let -55/6 + 215/6*m + 10/3*m**2 = 0. What is m?
-11, 1/4
Let x(g) = 5*g - 7. Let d be x(3). Solve 103*j**3 + j**2 - d*j - 105*j**3 + 7*j**2 = 0.
0, 2
Let k(f) be the first derivative of 7*f**6/18 - 4*f**5/5 - 25*f**4/12 + 50*f**3/9 - 2*f**2 - 8*f/3 + 77. What is m in k(m) = 0?
-2, -2/7, 1, 2
Let v(g) = -4*g + 74. Let f be v(18). Factor -4/5*y**f + 0 + 4/5*y.
-4*y*(y - 1)/5
Let u(w) be the first derivative of 4*w**3/3 + 8*w**2 + 16*w + 99. Factor u(n).
4*(n + 2)**2
Let w = 11 + -6. Suppose -5 = w*h - 30. Suppose 4*b**4 - 8*b**3 - 5*b**2 + 8*b**5 + 4*b + 4 - 4*b**2 - 4*b**h + b**2 = 0. What is b?
-1, 1
Let 6*m**2 - 40/3 - 8*m + 2/3*m**3 = 0. What is m?
-10, -1, 2
Let f(i) = 3*i**2 - i + 4. Let x(t) = -7*t**2 + 2*t - 9. Let m(w) = w**2 + 7*w + 5. Let p be m(-5). Let y = p + 1. Let z(b) = y*x(b) - 9*f(b). Factor z(h).
h*(h + 1)
Let h(n) be the second derivative of -1/40*n**6 - 1/4*n**4 + 6*n**2 + 0 - 10*n + 3/20*n**5 + 0*n**3. Let z(c) be the first derivative of h(c). Factor z(i).
-3*i*(i - 2)*(i - 1)
Let q(j) be the first derivative of -3/2*j**3 + 3*j**2 - 7*j + 0*j**4 + 3/20*j**5 - 11. Let l(c) be the first derivative of q(c). Find w, given that l(w) = 0.
-2, 1
Let m(v) be the second derivative of v**4/36 + 22*v**3/9 - 46*v**2/3 - 400*v. Suppose m(t) = 0. Calculate t.
-46, 2
Suppose -j - d = -3*d - 163, d + 164 = j. Let f = -161 + j. Let 3/4*i**2 + 1 + 1/2*i**3 - 1/4*i**f - 2*i = 0. What is i?
-2, 1, 2
Let n(t) be the second derivative of 0 + 1/42*t**4 + 0*t**3 - 4/7*t**2 - 12*t. Find p such that n(p) = 0.
-2, 2
Let 1/8 + 1/8*s**2 + 1/4*s = 0. Calculate s.
-1
Let m(a) be the first derivative of 16/5*a - 4/5*a**2 + 1/15*a**3 + 19. Let m(r) = 0. Calculate r.
4
Let d(w) be the second derivative of -w**6/285 - 6*w**5/95 - 23*w**4/57 - 20*w**3/19 - 25*w**2/19 - 112*w - 2. Factor d(i).
-2*(i + 1)**2*(i + 5)**2/19
Let q(w) be the third derivative of -1/165*w**6 + 0 + 13/132*w**4 + 0*w - 4/33*w**3 + 13/330*w**5 - 43*w**2. Solve q(v) = 0 for v.
-1, 1/4, 4
Let d(x) = 7*x**3 - 23*x**2 - 7*x + 23. Let a(j) = j**2 - 5 - 2 - j + j**3 + 6 + 0*j**2. Let h(t) = 4*a(t) - d(t). Let h(w) = 0. What is w?
-1, 1, 9
Let w(f) be the first derivative of 2*f**3/5 + 48*f**2/5 + 168*f/5 - 225. Find j such that w(j) = 0.
-14, -2
Let z(r) be the third derivative of -41*r**8/560 - 39*r**7/350 + r**6/100 + 80*r**2. Determine y, given that z(y) = 0.
-1, 0, 2/41
Let b(z) = 56*z - 52. Let w be b(1). Factor 0*p**2 + 0 + 0*p - 3/2*p**w + p**3.
-p**3*(3*p - 2)/2
Factor 8*x**2 - 24*x - 23*x**2 - x**3 - 20 + 0*x + 6*x**2.
-(x + 2)**2*(x + 5)
Let 3*v**4 - 56/3*v + 172/3*v**2 - 46*v**3 + 0 = 0. Calculate v.
0, 2/3, 14
Determine a, given that -3/7*a**5 + 0 + 0*a - 4560/7*a**3 + 4332/7*a**2 + 33*a**4 = 0.
0, 1, 38
Let v = 399 - 231. Let n = 171 - v. Factor -1/3*u**n - 1/3*u**4 + 0 + 0*u + 0*u**2.
-u**3*(u + 1)/3
Let w(m) = -m**5 - m**4. Let l(i) be the first derivative of 4*i**6/3 + 4*i**5/5 - i**4/2 + 2*i**3/3 + 56. Let n(t) = l(t) + 6*w(t). Factor n(b).
2*b**2*(b - 1)**2*(b + 1)
Let g = 81299/2 - 40649. Find b such that 0 + 3/2*b**2 + 2*b - g*b**3 = 0.
-1, 0, 4
Suppose 1 = 4*f - 7. Let r be f + 13 + -1 + -2. Find d such that -15*d**4 + 0*d + r*d**2 - 8*d - 2*d - 8*d + 3 + 18*d**3 = 0.
-1, 1/5, 1
Let y = 5 + 5. Suppose -3*m + y + 2 = 0. Find o such that o**m - o**2 + 3*o**3 + 3*o**3 - o**5 - 5*o**3 = 0.
-1, 0, 1
Let g(v) be the first derivative of 2*v**3/27 - 42*v**2 + 7938*v - 768. Let g(s) = 0. What is s?
189
Let b(x) be the first derivative of -48*x**2 - 4*x**3 - 18 - 256*x - 1/8*x**4. Factor b(y).
-(y + 8)**3/2
Determine v so that -26/11*v**4 - 30/11*v**3 - 8/11*v**5 - 14/11*v**2 - 2/11*v + 0 = 0.
-1, -1/4, 0
Let s be (-2)/3*9*5/(-1260). Let r(c) be the third derivative of -1/21*c**3 - 2*c**2 - 1/210*c**5 + 0 + 0*c - s*c**4. Factor r(y).
-2*(y + 1)**2/7
Let t be 15*(0 - -4)*(-10)/(-32). Determine b so that 15*b - t*b**2 - 3 = 0.
2/5
Let r(l) = 10*l**3 - 26*l**2 - 16*l + 4. Let y(a) = -8*a**3 + 25*a**2 + 18*a - 3. Let i(z) = -3*r(z) - 4*y(z). Find w, given that i(w) = 0.
-1, 0, 12
Let y be 1/6 - 170/(-60). Let -88*f**2 - 60*f**5 + 147*f**4 - 55*f**4 + 24*f**y + 18*f + 18*f - 4 = 0. Calculate f.
-1, 1/5, 1/3, 1
Let a(d) = d**2 - 8*d + 7. Let w be a(7). Suppose w*o = -o. Let -4*z**3 + 2*z**3 - 6*z**2 + 9*z + o*z - z**3 = 0. What is z?
-3, 0, 1
Let p(h) be the first derivative of h**4/6 + 38*h**3/9 + 50*h**2/3 + 64*h/3 + 381. Solve p(g) = 0 for g.
-16, -2, -1
Let 0 - 4/5*v**2 - 24/5*v**3 + 4/5*v**4 + 24/5*v = 0. Calculate v.
-1, 0, 1, 6
Let i(v) = -1 + 2 + 0. Let j(f) = -f - 2. Let w(z) = -2*i(z) - j(z). Let r(d) = -d**2 - 3*d. Let n(t) = 3*r(t) + 6*w(t). Determine p so that n(p) = 0.
-1, 0
Factor -1/7*f**2 + 39/7 - 10/7*f.
-(f - 3)*(f + 13)/7
Let w = -22 + 24. Factor 15*k + 7*k**w - 2*k**2 + 23*k - 18*k + 20.
5*(k + 2)**2
Let a = 4 - -4. Factor -4*m**4 + a*m**3 - m**4 + m**4.
-4*m**3*(m - 2)
Let u(d) be the second derivative of -4*d - 1/8*d**3 + 0 + 1/4*d**2 + 1/48*d**4. Let u(s) = 0. What is s?
1, 2
Suppose -20 = -14*j + 12*j. Factor -j*h**2 - 7*h**4 + h**3 + 5 - h**3 + 12*h**4.
5*(h - 1)**2*(h + 1)**2
Let c(y) = y**2 + 4*y + 6. Let z be c(-8). Let v = 65 - z. Factor 27*m - 9*m**2 - 5*m**3 - v + 5*m**3 + m**3.
(m - 3)**3
Let m(a) = 8*a + 35. Let j be m(-4). Let o(d) be the first derivative of -9/2*d**2 + 0*d + 3*d**4 - 4 - d**j. Solve o(f) = 0.
-3/4, 0, 1
Let k = 76 + -30. Let j = -44 + k. Factor 0*y**j + 1/2*y - 3*y**3 + 0 + 4*y**4 - 3/2*y**5.
-y*(y - 1)**3*(3*y + 1)/2
Let w(u) be the first derivative of u**6/2 + 9*u**5/5 + 3*u**4/4 - 3*u**3 - 3*u**2 + 16. Let w(l) = 0. What is l?
-2, -1, 0, 1
Let x(k) be the second derivative of 5*k**4/36 + 5*k**3/3 + 15*k**2/2 + 54*k. Factor x(l).
5*(l + 3)**2/3
Let c(w) be the third derivative of -w**6/1320 + w**5/110 - w**4/24 + w**3/11 - 304*w**2. Let c(n) = 0. What is n?
1, 2, 3
Let c(q) = 1437*q + 7185. Let x be c(-5). Factor x - 4/9*k**2 + 2/3*k**3 + 0*k**4 - 2/9*k**5 + 0*k.
-2*k**2*(k - 1)**2*(k + 2)/9
Determine p, given that 1/3*p**5 + p + 2/3 - 4/3*p**3 - 2/3*p**2 + 0*p**4 = 0.
-1, 1, 2
Let k(v) be the first derivative of -4*v**5/5 - 12*v**4 - 172*v**3/3 - 120*v**2 - 112*v - 48. Determine s so that k(s) = 0.