actor -19*b**2 + 3 - 4*b + 3 + 7*b**2 + 10*b**2.
-2*(b - 1)*(b + 3)
Let t(p) = -p**4 - 23*p**3 - 36*p**2 + 52*p. Let s(f) = -24*f**3 - 36*f**2 + 54*f. Let j(n) = 4*s(n) - 3*t(n). Factor j(y).
3*y*(y - 10)*(y - 1)*(y + 2)
Suppose -d = -4*k - 18, 30 = 5*d - 6*k + k. Let q be d/(-20) + (-3)/(-18)*3. Factor q*y**2 + 2/5 - 4/5*y.
2*(y - 1)**2/5
Let a(i) = 10*i - 32. Let b be a(14). Determine p so that 8*p - b*p**5 - 276*p**4 - 77*p**3 - 28*p**2 + p**3 + 480*p**4 = 0.
-1/3, 0, 2/9, 1
Let w = 857 - 46. Factor -2*d - w*d**2 - 8*d**3 + d + 817*d**2.
-d*(2*d - 1)*(4*d - 1)
Let s(v) = 305*v**2 + 1055*v + 1605. Let u(k) = 14*k**2 + 48*k + 73. Let i(m) = 3*s(m) - 65*u(m). Solve i(q) = 0 for q.
-7, -2
Let r(t) be the first derivative of -t**4/96 - t**3/48 - 6*t + 7. Let x(s) be the first derivative of r(s). Solve x(i) = 0 for i.
-1, 0
Suppose -l + 97 = 96. Factor -3*a**2 - 23 + 10*a - 20*a - 8*a - l.
-3*(a + 2)*(a + 4)
Let p(o) be the second derivative of -o**5/45 - 25*o**4/3 - 1250*o**3 - 93750*o**2 + 276*o. Factor p(v).
-4*(v + 75)**3/9
Let i be (828/(-161))/(6/28). Let d be ((-43)/387)/(2/i - 0). Find j such that 0 - d*j**3 + 4*j**2 + 0*j = 0.
0, 3
Let h be (192 - 184)/(6*2/4). What is y in h*y - 32/3 - 1/6*y**2 = 0?
8
Let m(h) be the first derivative of 12 - h**3 + 3/10*h**5 + 3/4*h**4 - 3/4*h**2 - 1/4*h**6 + 3/2*h. Factor m(q).
-3*(q - 1)**3*(q + 1)**2/2
Factor 2/9*v**4 + 200 + 28/9*v**3 - 280/3*v - 22/9*v**2.
2*(v - 3)**2*(v + 10)**2/9
Let r be (44/330)/(64/10). Let a(b) be the second derivative of -9/8*b**2 + 0 - 1/4*b**3 - r*b**4 + 7*b. Let a(g) = 0. Calculate g.
-3
Factor 0*f - 3/5*f**2 + 19/5*f**3 - 6/5*f**4 + 0.
-f**2*(f - 3)*(6*f - 1)/5
Let t(o) be the third derivative of o**7/90 + 13*o**6/180 + 3*o**5/20 + o**4/18 - 2*o**3/9 - 144*o**2. Find f, given that t(f) = 0.
-2, -1, 2/7
Suppose -2*u - c - 38 = 16, -3*c = -2*u - 70. Let j = u + 31. Factor 0 - 6/5*l**j - 4/5*l - 2/5*l**3.
-2*l*(l + 1)*(l + 2)/5
Factor -35 + 5/2*a**2 - 25/2*a.
5*(a - 7)*(a + 2)/2
Suppose 0 = -3*i - 5*d - 493, -5*i + 2*i - 497 = d. Let s = i - -833/5. Solve -2/5*o**2 + 6/5*o**3 + 1/5 - s*o + 1/5*o**4 - 3/5*o**5 = 0 for o.
-1, 1/3, 1
Let l = -363 - -365. Let y(t) be the first derivative of 5 + 16/13*t - 12/13*t**l - 1/26*t**4 + 4/13*t**3. Solve y(d) = 0.
2
Let y(q) be the first derivative of 0*q**2 - 3/16*q**4 - 3/4*q**3 + 6 + 3*q. Let y(a) = 0. Calculate a.
-2, 1
Suppose 5*a + h = 4*a + 33, h = 3*a - 95. Factor -72*p + 29*p**4 - 65*p**4 + a*p**4 - 84*p**2 - 32*p**3.
-4*p*(p + 2)*(p + 3)**2
Let m = 400 + -395. Let n(p) be the second derivative of 0*p**2 - p**3 - 3*p + 0 + 7/4*p**4 + 27/20*p**m. Solve n(k) = 0.
-1, 0, 2/9
Let n = 20338/8445 + -14/1689. Factor 6/5 + n*t**2 + 27/5*t.
3*(t + 2)*(4*t + 1)/5
Let x(f) be the second derivative of -f**7/105 - f**6/75 + 3*f**5/50 + f**4/30 - 2*f**3/15 - 15*f + 4. Suppose x(z) = 0. Calculate z.
-2, -1, 0, 1
Let x(w) be the third derivative of 1/896*w**8 + 0 + 7/160*w**5 + 1/32*w**4 + 29*w**2 + 0*w + 9/320*w**6 + 1/112*w**7 + 0*w**3. Determine u so that x(u) = 0.
-2, -1, 0
Let o(m) = 20*m - 108. Let q be o(11). Let u be q/(-20) - 42/(-7). Determine t so that -2/5*t**2 + 0 + u*t**3 - 4/5*t = 0.
-1, 0, 2
Let i be (3927/(-68))/(-77) - (-202)/72. Factor -18 - 2/9*v**4 - 92/9*v**2 - 32*v + i*v**3.
-2*(v - 9)**2*(v + 1)**2/9
Let l(u) be the second derivative of -u**4/108 - 7*u**3/54 + 114*u. Factor l(r).
-r*(r + 7)/9
Find t such that -120/7*t - 1800/7 - 2/7*t**2 = 0.
-30
Factor 55*m - 15*m**3 - 21*m - m**4 + 9*m**2 - 57*m**2 + 30*m.
-m*(m - 1)*(m + 8)**2
Let n(z) = z - 3. Let k be n(10). Let c be 3*20/6 + -4. Factor -7*y**4 + k*y**2 + 5*y**2 + 6*y**3 - 14*y**4 + 9*y**2 - c*y.
-3*y*(y - 1)*(y + 1)*(7*y - 2)
Solve 5/3*o**3 + 0*o + 1/3*o**4 + 4/3*o**2 + 0 = 0 for o.
-4, -1, 0
Let d(y) be the third derivative of -4*y**2 + 0*y**4 + 1/560*y**7 + 0 + 0*y**6 + 0*y**5 - 1/2*y**3 + 0*y. Let k(q) be the first derivative of d(q). Factor k(f).
3*f**3/2
Let g(c) be the third derivative of -10*c**2 + 0 - 1/10*c**5 + 0*c - 11/16*c**4 + 3/4*c**3. Suppose g(m) = 0. What is m?
-3, 1/4
Let n(w) be the third derivative of -w**8/336 - 11*w**7/840 - w**6/480 + 13*w**5/240 + 5*w**4/96 - w**3/12 + w**2. Solve n(h) = 0.
-2, -1, 1/4, 1
Factor m - 22*m + 3*m + 6*m + 4*m**2.
4*m*(m - 3)
Let o = -67 - -70. Factor -6/5*k**2 - 12/5 - 3/5*k**o + 21/5*k.
-3*(k - 1)**2*(k + 4)/5
Let b(t) be the first derivative of t**5/20 + 7*t**4/8 + t**3 - 7*t**2/4 - 13*t/4 + 38. Let b(q) = 0. Calculate q.
-13, -1, 1
Let m(l) = -3*l - 9. Let q(b) = 10*b + 26. Let s(h) = 14*m(h) + 4*q(h). Let p be s(-11). Factor p*o + 4/3*o**3 + 0*o**2 + 0 - 22/3*o**4 + 28/3*o**5.
2*o**3*(2*o - 1)*(7*o - 2)/3
Solve -41*h**2 + 24*h**3 - 432*h + 1296 - 49*h**2 + 4*h**4 + 43*h**2 - 61*h**2 = 0.
-6, 3
Suppose 5*r - 732 = -4*m, 3*m = 4*r - m - 564. Factor 2*u**3 - 2*u**4 + r*u**2 + 0*u**5 - 142*u**2 - 2*u**5.
-2*u**2*(u - 1)*(u + 1)**2
Let l(v) = 99*v**2 - 741*v + 150. Let d(q) = 20*q**2 - 148*q + 30. Let j(h) = 24*d(h) - 5*l(h). What is x in j(x) = 0?
1/5, 10
Let w(p) be the second derivative of -p**7/504 + p**6/144 + p**5/4 - 5*p**4/4 + 21*p. Let c(z) be the third derivative of w(z). Find y such that c(y) = 0.
-2, 3
Suppose -33*s + 39*s - 720 = 0. Let o = 120 - s. Let 0 + 4/7*b**4 + o*b**2 + 0*b**3 + 0*b = 0. Calculate b.
0
Suppose -6*x - x = -5*x. Let u(w) be the third derivative of x*w**3 + 1/20*w**5 + 0*w + 7*w**2 + 1/8*w**4 + 0. Suppose u(r) = 0. What is r?
-1, 0
Suppose 0 = 9*v - 13*v - c + 34, -8 = -2*v + 4*c. Let l be v/50*(-5)/2*-7. Find d such that l*d**2 - 4/5 - 7/5*d - 3/5*d**3 = 0.
-1/3, 1, 4
Let f(n) = n**2 + n**3 + 3 + 2 - 2*n**2 + n. Let s be f(0). Factor -y**4 - y**3 - 3*y**2 + 8*y**2 - 4*y**2 + 0*y**3 + y**s.
y**2*(y - 1)**2*(y + 1)
Suppose -369920/11*n - 2/11*n**5 - 142/11*n**4 - 982600/11 - 3974/11*n**3 - 54706/11*n**2 = 0. Calculate n.
-17, -10
Let h(j) be the third derivative of j**6/42 - 22*j**5/5 + 1794*j**4/7 - 8464*j**3/21 - 7*j**2 - 13*j. Solve h(t) = 0 for t.
2/5, 46
Suppose 0 = 40*q - 90 + 10. Determine l so that -3/2*l**4 + 0*l + 3/2*l**3 + 0 + 3/2*l**q - 3/2*l**5 = 0.
-1, 0, 1
Let a be (((-56)/(-10))/14)/((-130)/(-25) + -4). Suppose a*m**2 + 13/6*m**3 + 4*m**4 + 0 + 3/2*m**5 + 0*m = 0. What is m?
-2, -1/3, 0
Let k = 605 + -605. Let s(b) be the third derivative of 0*b**5 + k + 0*b - 1/10*b**7 - 1/20*b**6 - 7*b**2 + 0*b**3 + 0*b**4. Determine z, given that s(z) = 0.
-2/7, 0
Let x = 18 + -3. Factor 0*g**2 + 12*g**5 + 5*g**4 - x*g**5 + 0*g**4 - g**2 - g**3.
-g**2*(g - 1)**2*(3*g + 1)
Let h(w) be the second derivative of w**7/126 + 7*w**6/90 - w**5/30 - 23*w**4/18 + 65*w**3/18 - 25*w**2/6 - 2*w + 166. Find f, given that h(f) = 0.
-5, 1
Let u(r) be the third derivative of r**5/240 - r**4/24 - 2*r**2 + 37*r. Suppose u(w) = 0. Calculate w.
0, 4
Determine h so that 10*h**2 - 9*h**5 - 12*h**4 + 75*h - 72*h + 2*h**2 + 6*h**3 = 0.
-1, -1/3, 0, 1
Let l = 4/6427 - -96389/25708. Let l*q**2 - 3*q**4 - 9/4*q**3 + 9/4*q - 3/4 = 0. Calculate q.
-1, 1/4, 1
Let n be 8*(15/4 - 3). Let x = n - 3. Determine u so that -u + x*u**2 - u - u**2 + 0*u = 0.
0, 1
Suppose -2/13*s**2 + 8/13*s - 8/13 = 0. Calculate s.
2
Let n(u) be the first derivative of -5/3*u**3 + 5*u**4 - 10*u**2 + 5*u + 12. Factor n(w).
5*(w - 1)*(w + 1)*(4*w - 1)
Suppose 0 - 34/11*w**3 - 80/11*w**2 + 24/11*w + 70/11*w**4 = 0. Calculate w.
-1, 0, 2/7, 6/5
Determine g so that -3/4*g**5 + 3*g**3 + 96 + 9/2*g**4 + 0*g - 42*g**2 = 0.
-2, 2, 4
Factor -25/6 + 38/3*f - 1/2*f**2.
-(f - 25)*(3*f - 1)/6
Let j = 23 - -2. Let d(p) = 39*p - 1 - j*p - p**2 - 15*p. Let i(v) = -16*v**2 - 14*v - 9. Let g(b) = -44*d(b) + 4*i(b). Find w such that g(w) = 0.
-1, 2/5
Let q(z) be the first derivative of z**4/3 + 32*z**3/9 - 22*z**2/3 - 24*z - 205. Let q(v) = 0. Calculate v.
-9, -1, 2
Let i(u) be the first derivative of -26 - 8*u**2 + 0*u + 1/2*u**4 - 4/3*u**3. Suppose i(z) = 0. What is z?
-2, 0, 4
Let n(l) be the first derivative of 0*l**4 + 1/7*l**7 + 5 + 0*l**3 + 0*l**5 + 3*l + 0*l**2 - 1/10*l**6. Let m(v) be the first derivative of n(v). Factor m(d).
3*d**4*(2*d - 1)
Solve 40 - 49*p**4 - 22*p**4 - 30*p**2 + 114*p**3 + 46*p**4 - 29*p**3 - 100*p = 0 for p.
-1, 2/5, 2
Let x(u) = -10*u**2 - u - 4*u - 18*u + 9 - 10*u. Let w(j) = j**2. Let h be 2/(8/4) + 1. Let a(r) 