*y + 1)/5
Let o(k) = -k**2. Let j(f) = 8*f**2 - 3*f + 5. Let y(c) = -15*c**2 + 5*c - 9. Let w(n) = -11*j(n) - 6*y(n). Let p(i) = -2*o(i) + w(i). Factor p(u).
(u + 1)*(4*u - 1)
Let b(o) be the second derivative of -o**4/42 + 3*o**3/7 + 22*o**2/7 - 24*o. Factor b(m).
-2*(m - 11)*(m + 2)/7
Let d be (-16)/(-20) + 30/25. Let z(r) be the second derivative of -2/9*r**3 + 0*r**d - 1/6*r**4 + 8*r + 0 - 1/30*r**5. Factor z(b).
-2*b*(b + 1)*(b + 2)/3
Let w = 2129/866 - -18/433. Determine z, given that 5/2*z**5 - 5/2*z**2 + 0 - 5/2*z**3 + w*z**4 + 0*z = 0.
-1, 0, 1
Suppose 5*n + 0*l - 2*l - 16 = 0, n - 4*l = -4. Let m(s) be the first derivative of 0*s - s**3 - 3/4*s**n + 0*s**2 - 7. Solve m(a) = 0.
-1, 0
Let q(t) be the third derivative of 0*t**3 + 0 - 4*t**2 - 1/150*t**6 + 0*t + 0*t**4 + 1/525*t**7 + 1/150*t**5. Factor q(k).
2*k**2*(k - 1)**2/5
Suppose -2*m - 26 = -4*v - v, 4*m - v = -70. Let u = -16 - m. Factor 0 - 6/5*x**3 - 2/5*x - 8/5*x**u.
-2*x*(x + 1)*(3*x + 1)/5
Solve 32*s**3 + 60*s**2 + 3*s**5 + 20*s + 30*s**4 + 0*s**5 + 33*s**3 + 2*s**5 + 0*s**5 = 0.
-2, -1, 0
Let j be (-30)/4*10/(-15). Let 0*g**j - 12*g**3 - 8*g**2 + 9*g**5 - 5*g**5 = 0. What is g?
-1, 0, 2
Suppose 15*g = -2034 + 17379. Let p be 3 + g/(-385) + (-1)/7. Suppose -2/5*d**3 + 0*d - 1/5*d**2 - p*d**4 + 0 = 0. Calculate d.
-1, 0
Factor 15 + 25 + 54*j**2 - 189*j**2 - 170*j + 90*j**2.
-5*(j + 4)*(9*j - 2)
Let o be 490/9 - (-1 + 16 + (-7467)/513). Find u, given that -o*u**4 + 244/3*u**2 + 16/3 + 136/3*u - 78*u**3 = 0.
-2, -2/9, 1
Suppose g = 6*g - 15. Suppose -3*p + 30 = -b + 5*b, -3*p = g*b - 27. Let -16*m**4 + 3*m**2 + 9*m**4 + p*m - 6*m**3 + 4*m**4 = 0. What is m?
-2, -1, 0, 1
Let k(p) be the first derivative of -p**6/6 - 2*p**5/5 + p**4/2 + 4*p**3/3 - p**2/2 - 2*p + 125. Solve k(z) = 0 for z.
-2, -1, 1
Let u(r) be the second derivative of -r**6/15 - 3*r**5/10 - r**4/3 - 43*r. Solve u(f) = 0 for f.
-2, -1, 0
Let f(c) = -5*c**4 - 6*c**3 + 64*c**2 + 24*c - 36. Let k(m) = 3*m**4 + 6*m**3 - 63*m**2 - 24*m + 36. Let n(r) = 6*f(r) + 5*k(r). Solve n(i) = 0 for i.
-2, -1, 3/5, 2
Find f, given that -12/7 - 2/7*f**2 - 10/7*f = 0.
-3, -2
Suppose 5*r + 0*r = 4*z - 10, 4*z = -2*r - 4. Let o be z/(-4*(-2 - (-22)/8)). Factor -1/3*g**4 + o - 4/3*g**2 + 0*g - 4/3*g**3.
-g**2*(g + 2)**2/3
Let d(o) be the first derivative of -1/21*o**3 - 9/7*o - 3/7*o**2 + 7. Let d(n) = 0. What is n?
-3
Factor 2/5*d**2 - 6/5 - 4/5*d.
2*(d - 3)*(d + 1)/5
Let a(l) be the third derivative of -l**8/42 + l**7/35 + 13*l**6/60 - l**5/30 - 3*l**4/4 - 2*l**3/3 - l**2 - 47*l. Solve a(q) = 0 for q.
-1, -1/4, 1, 2
Let t(d) be the second derivative of -2/15*d**6 + 0*d**2 + 0 + 12*d + 3/5*d**5 - 2*d**3 + 1/3*d**4. Solve t(r) = 0 for r.
-1, 0, 1, 3
Suppose 7*g**2 - 51*g**3 - 2*g**4 + 28*g + 5*g**2 + 3*g**4 + 36*g**3 = 0. Calculate g.
-1, 0, 2, 14
Determine q so that -18/5*q + 28/5 + 2/5*q**2 = 0.
2, 7
Suppose -21 = 3*n - 33. Suppose 48*q + 719*q**2 - 36*q**3 + 10*q**5 + 19*q**n - 613*q**2 + 146*q**3 + 8 + 35*q**4 = 0. What is q?
-2, -1, -2/5
Let h(t) = -t**3 - 14*t**2 - 8*t + 19. Let a be h(-13). Let d be 9/6*(a/(-30) + -1). Let d + 0*g**4 + 2/5*g**5 - 8/5*g**3 - 4/5*g**2 + 6/5*g = 0. What is g?
-1, 1, 2
Let p(s) be the third derivative of s**6/180 + s**5/45 - 5*s**4/36 - 2*s**3/3 - 2*s**2 - 33*s. Factor p(g).
2*(g - 2)*(g + 1)*(g + 3)/3
Let -2 + 4/3*b + 2/3*b**2 = 0. What is b?
-3, 1
Suppose -2*y - 28 = -5*m, 5*y = 3*m - 2*m - 1. Let i(f) = -5*f + 32. Let a be i(m). Factor 4/9 + 8/9*t**a + 2/9*t**3 + 10/9*t.
2*(t + 1)**2*(t + 2)/9
Suppose 224 = 5*d - 16. Let q be d/(-27) + 1 + 1. Determine p so that 4/9*p**2 + 0 + q*p = 0.
-1/2, 0
Let c = 83473/4 - 20866. Let -15/8*m - 3/8*m**2 - c = 0. Calculate m.
-3, -2
Let h(p) = -3*p**3 + 4*p**2 + 4*p + 3. Let o be h(-2). Factor o*n**3 + n**2 - 15*n**4 - 15*n - 90 + 20*n**4 + 64*n**2.
5*(n - 1)*(n + 2)*(n + 3)**2
Let u = 20825 - 20822. Factor 0 + 1/6*g**2 - 1/6*g**u + 1/3*g.
-g*(g - 2)*(g + 1)/6
Suppose -82*q - 26 + 190 = 0. Determine r, given that 0 - 6/5*r**5 - 16/5*r**q + 0*r + 4*r**4 - 8/5*r**3 = 0.
-2/3, 0, 2
Factor -66 - 909*s**2 + 906*s**2 + 14*s + 25*s.
-3*(s - 11)*(s - 2)
Let p = -1591/9 + 177. Let c(k) be the first derivative of 2/15*k**5 + 0*k - p*k**2 + 6 + 1/27*k**6 - 2/9*k**3 + 1/18*k**4. Determine w so that c(w) = 0.
-2, -1, 0, 1
Let y be (-1 + -2 + -1)*2. Let c = y + 12. Find q such that 2*q**3 - 3*q**c + 12*q + 13*q**3 - 3*q**2 - 21*q**2 = 0.
0, 1, 2
Let w be 10 - (1 + 6 - 3). Factor 5*p**5 - 1456*p**3 + 1421*p**3 - w*p**4 + 16*p**4 + 20*p**2.
5*p**2*(p - 1)**2*(p + 4)
Suppose 9*w - 15*w + 12 = 0. Let c(v) be the first derivative of -w - 16*v**2 - 28/5*v**5 - 3/5*v**6 - 20*v**4 + 64/5*v - 32*v**3. Factor c(s).
-2*(s + 2)**4*(9*s - 2)/5
Suppose 1/4*k - 1/8*k**4 + 3/8*k**3 - 1/8*k**5 + 0 + 5/8*k**2 = 0. Calculate k.
-1, 0, 2
Let m(g) be the second derivative of -g**4/21 + 20*g**3/21 - 50*g**2/7 - 77*g. Factor m(h).
-4*(h - 5)**2/7
Factor -135/7*q - 66/7 - 6/7*q**2.
-3*(q + 22)*(2*q + 1)/7
Factor -13/2*u**2 + 2*u**3 - 13/2*u + 2.
(u - 4)*(u + 1)*(4*u - 1)/2
Let k(p) = p**3 + 7*p**2 - p - 5. Suppose -g + 25 = t - 4*t, t = 3*g - 19. Let x be k(t). Solve -5*i**3 - 3*i**3 + 6*i**3 + x*i**2 = 0.
0, 1
Let k = 498888/35 - 14256. Let s = 20/7 + k. Factor -s*z + 0 + 14/5*z**2 + 2*z**4 - 2/5*z**5 - 18/5*z**3.
-2*z*(z - 2)*(z - 1)**3/5
Let h(r) be the first derivative of -r**4/4 + r**3 - 3*r**2/2 - 2*r - 14. Let t(i) be the first derivative of h(i). Factor t(u).
-3*(u - 1)**2
Let q(s) = s**3 + s**2 + 3*s + 1. Let x(u) = 5*u**3 + 126*u**2 + 3852*u + 7204. Let l(c) = -4*q(c) + x(c). Factor l(g).
(g + 2)*(g + 60)**2
Let g(f) = 6*f**4 - 51*f**3 - 6*f**2 + 30*f - 21. Let c(o) = o**4 - 10*o**3 - o**2 + 6*o - 4. Let r(y) = 21*c(y) - 4*g(y). Solve r(m) = 0 for m.
-2, -1, 0, 1
Let s(y) be the third derivative of y**8/33600 - y**7/4200 - 11*y**4/24 + 16*y**2. Let i(d) be the second derivative of s(d). Factor i(v).
v**2*(v - 3)/5
Let g(r) be the first derivative of 10*r**3/27 + 2*r**2/9 + 35. Factor g(w).
2*w*(5*w + 2)/9
Let q(z) be the third derivative of z**8/10080 + z**7/2520 + 5*z**5/12 - 7*z**2. Let g(h) be the third derivative of q(h). Factor g(j).
2*j*(j + 1)
Let t be 560/(-210)*(-2)/24. Determine g so that 0 + 4/9*g**3 + 0*g + 0*g**2 + t*g**5 - 2/3*g**4 = 0.
0, 1, 2
Let j(q) = q**3 - q**2 - q - 1. Let k(f) = 6*f**3 + 58*f**2 - 6*f - 66. Let r(s) = 4*j(s) - k(s). Factor r(i).
-2*(i - 1)*(i + 1)*(i + 31)
Determine s so that -46*s**2 - 8117*s + 4091*s + 4056*s + 5*s**3 + 11*s**2 = 0.
0, 1, 6
Let j(i) be the first derivative of 33*i**5 + 155*i**4/2 + 175*i**3/3 + 15*i**2 + 350. Solve j(o) = 0.
-1, -6/11, -1/3, 0
Suppose 4/5*f**2 - 12/5 - 8/5*f = 0. Calculate f.
-1, 3
Let y(i) = -i - 16. Let k be y(-11). Let l = 8 + k. Factor 3*p**2 + 3*p**2 + 6*p**3 + 4*p**2 - 7*p**2 + l*p**4.
3*p**2*(p + 1)**2
Let r(x) be the first derivative of -29 + 2/15*x**2 - 2/15*x - 2/45*x**3. Solve r(c) = 0 for c.
1
Let a(n) be the second derivative of 3/20*n**5 + 0*n**3 + 0*n**2 + 0 - 8*n + 1/14*n**7 + 1/5*n**6 + 0*n**4. Factor a(v).
3*v**3*(v + 1)**2
Let s(f) be the third derivative of -f**7/105 - 4*f**6/15 + 17*f**5/30 - 3*f**2 - 14. Factor s(u).
-2*u**2*(u - 1)*(u + 17)
Let y = -54191/19 - -2853. Solve 0*x**2 + 0 + 0*x - 2/19*x**3 - 32/19*x**5 + y*x**4 = 0 for x.
0, 1/4
Suppose -5*w + 22 = -5*f - 33, 2*f = w - 22. Let v(b) = -b - 10. Let a be v(f). Find h, given that -1/2*h - h**2 + a + 1/2*h**3 = 0.
-1, 1, 2
Let h be 6/(-8) + (-18)/(-24). Suppose k = -h*k + 4. Factor 9*t**2 + 3*t**4 + 0*t**4 + 0*t**3 - k*t**3 - 3*t - 5*t**3.
3*t*(t - 1)**3
Let k = -19 + 37. Let j(y) = y**2 + y + 1. Let s(u) = -21*u**2 - 12*u - 21. Let t(f) = k*j(f) + s(f). Factor t(q).
-3*(q - 1)**2
Suppose h + 24 - 4 = 3*z, -3*z + 3*h + 30 = 0. Factor -2*g + 4*g - z*g**3 + 3*g.
-5*g*(g - 1)*(g + 1)
Suppose 2*m = -62 + 454. Suppose -9*u + m = -119. Find w such that -u*w**3 + 3*w**5 - 5*w**4 + 3*w**2 + 32*w**3 + 2*w**4 = 0.
-1, 0, 1
Let y(k) = -28*k**3 - 28*k**2 - 8*k - 8. Let v(g) = 10*g**3 + 9*g**2 + 3*g + 3. Let d(c) = 8*v(c) + 3*y(c). Factor d(i).
-4*i**2*(i + 3)
Let f(p) = 20*p**3 - 460*p**2 - 231*p - 25. Let l(i) = -59*i**3 + 1379*i**2 + 693*i + 76. Let d(t) = -11*f(t) - 4*l(t). Let d(w) = 0. Calculate w.
-1/4, 29
Suppose -3*a - 23 = -29. Find