 - w - 4*w**3 + q*w**3 + 0*w**3.
-w*(w - 1)**2
Factor -74*v + 3*v**3 + 16*v**3 - v**3 + 76*v**2 - 20.
2*(v - 1)*(v + 5)*(9*v + 2)
Let i = -60 - -62. Suppose i*a - 37 + 31 = 0. Factor -2/3*u**a + 0 - 2/3*u - 4/3*u**2.
-2*u*(u + 1)**2/3
Let v = 233 + -695/3. Let q(z) be the first derivative of 0*z**4 + 2*z + 2/5*z**5 - v*z**3 + 0*z**2 - 4. Factor q(b).
2*(b - 1)**2*(b + 1)**2
Let q be (-2)/(-16) + (-21)/168. Let x be (-2)/(-4) - 7/(-2). Solve -f**x + 1/2*f**5 + 0*f + q*f**2 + 1/2*f**3 + 0 = 0 for f.
0, 1
Let u(y) be the first derivative of y**3/15 + 54*y**2/5 + 2916*y/5 - 23. Factor u(c).
(c + 54)**2/5
Let d(r) be the second derivative of r**4/6 - 2*r**3/3 - 3*r**2 + 4*r - 3. Let d(w) = 0. Calculate w.
-1, 3
Let z = -25/207 - -721/828. Find d, given that -z*d + 1/4*d**2 + 0 = 0.
0, 3
Let y(o) be the second derivative of -o**5/150 + o**4/30 + 4*o**3/45 - 117*o. Factor y(d).
-2*d*(d - 4)*(d + 1)/15
Let w(n) = n**3 + 7*n**2 - n + 5. Let i be w(-7). Let -i*q**3 - 4*q - 8 + 13*q**3 + 4 + q**2 = 0. Calculate q.
-2, -1, 2
Let l = 174 - 97. Let r be 4/(-22) - (-245)/l. Determine x, given that -4*x - 9*x**r + 4*x**4 + 6*x + 3*x**3 = 0.
-1/2, 0, 1
Let v be 2/6*((-126)/14 + 18). Let z(q) be the second derivative of 1/3*q**v + 0 - 12*q - 1/15*q**6 + 1/6*q**4 - 1/10*q**5 + 0*q**2. Factor z(u).
-2*u*(u - 1)*(u + 1)**2
Let n(j) be the second derivative of -j**5/15 - 43*j**4/9 + 2*j**3/9 + 86*j**2/3 - 611*j. Factor n(m).
-4*(m - 1)*(m + 1)*(m + 43)/3
Factor -5/4*l + 3/4 + 5/4*l**3 - 3/4*l**2.
(l - 1)*(l + 1)*(5*l - 3)/4
Suppose 5*p + t - 40 = 0, 2*p - t = p + 8. Let d(x) be the first derivative of 0*x - 80/3*x**3 - 5 - 3*x**4 + 98/3*x**6 + 56*x**5 + p*x**2. Factor d(q).
4*q*(q + 1)**2*(7*q - 2)**2
Let b(k) be the first derivative of 15*k**4/4 - 6*k**3 + 5*k**2/2 - 2*k - 16. Let u(a) = 14*a**3 - 18*a**2 + 6*a - 2. Let c(l) = 6*b(l) - 7*u(l). Factor c(y).
-2*(y - 1)**2*(4*y - 1)
Let y(h) be the third derivative of 4/15*h**3 + 1/50*h**5 + 15*h**2 + 0*h + 0 + 1/6*h**4 - 3/200*h**6. Factor y(w).
-(w - 2)*(3*w + 2)**2/5
Let n(k) be the second derivative of k**6/15 - k + 79. Factor n(d).
2*d**4
Find d such that 3/8*d**3 + 24 + 30*d + 51/8*d**2 = 0.
-8, -1
Suppose 2*l - 15 + 11 = 0. Suppose 2*y = 2*h - 4*h - 4, -l*h + 3*y + 16 = 0. Let -2/3*p**3 + 0*p + 1/3*p**4 + 1/3*p**5 + 0 + 0*p**h = 0. Calculate p.
-2, 0, 1
Let h be (6*(-1)/2 - -2) + 13. Let c be -1*3*h/(-216). Factor -1/2*w**3 + 0 - c*w + 1/6*w**4 + 1/2*w**2.
w*(w - 1)**3/6
Suppose -7*u - 4710 = -2*u. Let p be (-1)/(-2) + u/(-12). Factor -294*l**3 + 60*l - p - 22*l**2 + 91 + l**2.
-3*(2*l - 1)*(7*l + 2)**2
Suppose -568 = -3*n + 2*t - 3*t, -5*n + 948 = 2*t. Suppose 4*r - 3*r = n. Factor 191*j**5 - 2*j**3 + 2*j**3 - 3*j**4 - r*j**5.
3*j**4*(j - 1)
Suppose -574*c + 207 + 157 = -1358. Factor -2/3*z**4 + 8/3*z - 8/3 - 4/3*z**c + 2*z**2.
-2*(z - 1)**2*(z + 2)**2/3
Factor 0 + 0*q + 5/3*q**4 + 1/3*q**5 + q**2 + 7/3*q**3.
q**2*(q + 1)**2*(q + 3)/3
Factor -40*j**2 + 85/2*j - 5/2*j**3 + 0.
-5*j*(j - 1)*(j + 17)/2
Factor 5/7*b - 2/7*b**2 + 3/7.
-(b - 3)*(2*b + 1)/7
Suppose -3*b = 2*b - w - 8, -4*w - 13 = -b. Let z(x) be the first derivative of -1/12*x**3 + b - 1/8*x**2 + 1/2*x. Solve z(d) = 0 for d.
-2, 1
Let d(z) be the second derivative of -1/4*z**4 + 0*z**3 + 0*z**2 + 0 - 15*z. What is b in d(b) = 0?
0
Solve -2/7*v**5 + 8/7*v**4 - 4*v**2 - 2/7*v**3 + 40/7*v - 16/7 = 0 for v.
-2, 1, 2
Let b = 13804/5 + -2759. Factor b*p**2 - 3/5*p**3 - 6/5*p + 0.
-3*p*(p - 2)*(p - 1)/5
Let y(a) be the second derivative of -a**4/36 + 12*a**3 + 440*a. Solve y(f) = 0.
0, 216
Suppose -4*o = -4*g + 4, 26*g - 23 = 23*g - 2*o. Let s(z) be the second derivative of 0 - 4/9*z**3 - z + 5/9*z**4 - 2/15*z**g + 0*z**2. Factor s(y).
-4*y*(y - 2)*(2*y - 1)/3
Let c = 1628 + -9767/6. Let -c*i**2 + 0 + 1/3*i = 0. What is i?
0, 2
Let q(h) be the first derivative of -11*h**2 + 19 + 1/3*h**3 + 121*h. Factor q(u).
(u - 11)**2
Let i be (-1161)/86*9/(-162). Let -3/8 + i*r - 3/8*r**2 = 0. What is r?
1
Let h(a) be the second derivative of 0 - 7/120*a**6 + 3/80*a**5 + 7/48*a**4 - 5/168*a**7 + 1/12*a**3 + 0*a**2 - 32*a. Solve h(d) = 0.
-1, -2/5, 0, 1
Suppose 20*x = 66 + 54. Let o(u) be the first derivative of -12*u**3 + 27/4*u**4 + 21/5*u**5 - x*u**2 + 0*u + 6. Suppose o(a) = 0. What is a?
-2, -2/7, 0, 1
Suppose 0 = 3*g - 2*g - 1. Suppose 2*q - 3*y - g = 0, q + 12 = 6*q + 2*y. Solve 9*h - 2*h**q + 2*h**3 - 3*h**5 - 9*h**4 + 8*h**2 + 3 - 5*h**3 - 3*h**3 = 0.
-1, 1
Let g = 1612 - 1604. Let p(h) be the third derivative of 0*h**5 + 0*h**3 + 0*h**6 + 2*h**2 + 0*h - 1/630*h**7 - 1/1008*h**g + 0 + 0*h**4. Factor p(z).
-z**4*(z + 1)/3
Suppose 40 = -4*l + 12*l. Find s, given that -8*s**2 + 27*s - 3*s - l*s + 6 + s**2 = 0.
-2/7, 3
Let b = 34 - 30. Factor -p**3 - 21*p**3 - 7*p**4 + 2*p**b - 9*p**4 - 2*p**5 - 10*p**2.
-2*p**2*(p + 1)**2*(p + 5)
Solve t + 1/5*t**2 + 4/5 = 0.
-4, -1
Let d be 2/(-4) - 2478/336. Let x = -59/8 - d. Let x - 1/2*q**3 - 1/2*q**2 + 1/2*q = 0. What is q?
-1, 1
Let l(c) be the second derivative of -c**4/18 + c**3/3 + 4*c**2/3 + c - 115. Factor l(g).
-2*(g - 4)*(g + 1)/3
Suppose -22 + 14 = -z + 2*u, 0 = -z - 5*u - 6. Factor -8/3*k**2 + 2/3*k**3 - 22/3*k - z.
2*(k - 6)*(k + 1)**2/3
Let q(w) = 120*w**3 + 10*w**2 + 10*w + 55. Let o(s) = -11*s**3 - 78*s**2 - 5 + 42*s**2 - s + 35*s**2. Let y(u) = -65*o(u) - 6*q(u). Solve y(j) = 0 for j.
-1, 1
Suppose 39 = 5*k + 4*o, -3*k + 2*o - o = -20. Factor -4*g**3 - 13*g**2 + 23*g**2 - 7*g**2 - k*g**2 + 4 + 4*g.
-4*(g - 1)*(g + 1)**2
Let t(h) = 2*h - 6. Let c be 40/18 + 2/(-9). Let o(l) = 140 - 440 + 6*l - l**2 + 143 + 138. Let n(f) = c*o(f) - 7*t(f). Suppose n(k) = 0. What is k?
-2, 1
Let k(o) be the first derivative of -4 + 1/150*o**6 - 1/15*o**3 - 4*o - 1/60*o**4 + 1/50*o**5 + 0*o**2. Let x(a) be the first derivative of k(a). Factor x(j).
j*(j - 1)*(j + 1)*(j + 2)/5
Find y, given that -81/7*y**3 + 300*y**2 + 1/7*y**4 - 2128*y - 9408 = 0.
-3, 28
Suppose -186 = -2*f - 91*f. Factor -12/5*m - 2/5*m**f - 18/5.
-2*(m + 3)**2/5
Find t, given that 10/7*t**2 - 2/7*t + 0 - 8/7*t**3 = 0.
0, 1/4, 1
Let q(o) = 4*o**4 - 42*o**3 + 106*o**2 + 50*o - 106. Let k(n) = 8*n**4 - 81*n**3 + 213*n**2 + 101*n - 211. Let m(u) = 2*k(u) - 5*q(u). Solve m(z) = 0.
-1, 1, 3, 9
Let x(o) be the first derivative of o**9/4536 - o**8/2520 - o**7/1260 + o**6/540 + o**3/3 + 5. Let r(t) be the third derivative of x(t). Factor r(l).
2*l**2*(l - 1)**2*(l + 1)/3
Solve -230/3*u - 75 - 5/3*u**2 = 0 for u.
-45, -1
Let j(s) = -8*s**3 + 50*s**2 + 102*s + 12. Let p(m) = 6*m**3 - 51*m**2 - 101*m - 10. Let o(n) = -5*j(n) - 6*p(n). Let o(a) = 0. Calculate a.
-12, -2, 0
Let r(m) be the first derivative of 21*m**5/20 + 11*m**4 + 75*m**3/2 + 27*m**2 - 2*m - 17. Let i(p) be the first derivative of r(p). Solve i(v) = 0.
-3, -2/7
Suppose 0 = 3*v - 3*p - 159, -4*v - 2*p = -7*p - 209. Let t = v - 20. Factor -6*y**2 - 10*y - t*y + 15*y**3 + 24 - 14*y.
3*(y - 2)*(y + 2)*(5*y - 2)
Let l = 7 - 7. Let a(r) be the second derivative of 0*r**4 + 0*r**2 - r + 0*r**3 + l + 1/45*r**6 - 1/30*r**5. Determine o, given that a(o) = 0.
0, 1
Let v = 1413 - 5643/4. Let h(a) be the second derivative of -27/8*a**2 + 1/8*a**5 + 0 + v*a**3 - 9*a - 1/120*a**6 - 3/4*a**4. Find f such that h(f) = 0.
1, 3
Let c(d) be the third derivative of 0*d**3 - 1/30*d**5 + 24*d**2 - 2/3*d**4 + 0*d + 0. Determine a, given that c(a) = 0.
-8, 0
Suppose -4*i - 21 = -9*p + 4*p, 2*p + 5*i = -18. Let r be (1 + 1 - p) + 2. Factor -14*y - 28*y**2 + 7*y**4 - 7*y**3 - 13*y**r + 9*y**4 + 22*y.
4*y*(y - 2)*(y + 1)*(4*y - 1)
Let z(n) be the first derivative of 0*n + n**2 - 5/4*n**4 + n**3 + 14. Factor z(k).
-k*(k - 1)*(5*k + 2)
Let g = 31 - 33. Let b(o) = o**3 + o**2 - o. Let j(p) = -4*p**3 - 3*p**2 + 6*p - 2. Let u(y) = g*j(y) - 6*b(y). Solve u(n) = 0.
-2, 1
Let o(i) = 2*i**5 - 12*i**4 + 52*i**3 - 68*i**2 + 50*i - 12. Let d(l) = l**4 + l**3 + l. Let j(c) = -4*d(c) + o(c). Factor j(p).
2*(p - 3)*(p - 2)*(p - 1)**3
Let z be (-2338)/49 - (-4)/(-14). Let o be (-2 - 2) + 9/((-81)/z). Factor 5/3*s**2 - 7/3*s**3 + 16/3*s + o.
-(s - 2)*(s + 1)*(7*s + 2)/3
Suppose -4/5*p + 0 - 4/5*p**2 = 0. What is p?
-1, 0
Factor 4*b**2 - 3*b**2 + 118*b + 6 + 124*b - 247*b.
(b - 3)*(b - 2)
Suppose -4*w + 5*w = -2*d + 9, 16 = 2*w + 3*d. Let x be (-12)