*5/30 - n**4/6 - 2*n**3/3 + 6*n**2. Let p(k) = -k - 1. Let m(u) = -4*p(u) + x(u). Factor m(w).
2*w**2
Find n such that 35*n**2 - 12*n**2 - 402*n - 16*n**2 - 9*n**2 + 404 = 0.
-202, 1
Let s(u) be the second derivative of -2*u - 4/3*u**3 + 1/3*u**4 - 6*u**2 + 0. Let s(v) = 0. What is v?
-1, 3
What is w in -7*w**2 + 288/5*w + 324/5 + 1/5*w**3 = 0?
-1, 18
Let b be 54/(-225)*50/(-40). Let u(w) be the second derivative of -b*w**5 - 7/18*w**4 - 1/63*w**7 - 2/9*w**3 + 8*w + 0*w**2 - 1/9*w**6 + 0. Solve u(n) = 0.
-2, -1, 0
Suppose 42 = 4*v + 26. Let g(d) = d**5 - 4*d**4 - 6*d**3 + 5*d + 4. Let f(x) = -2*x**5 + 9*x**4 + 13*x**3 - 11*x - 9. Let t(l) = v*f(l) + 9*g(l). Factor t(o).
o*(o - 1)**2*(o + 1)**2
Let d(y) be the first derivative of 4*y**5/35 - 3*y**4/7 - 44*y**3/21 + 6*y**2/7 + 40*y/7 + 152. Find j such that d(j) = 0.
-2, -1, 1, 5
Solve 3/7*v - 2/7 - 1/7*v**2 = 0.
1, 2
Let x = 2 - 6. Let y be -4*(7/2 + x). Factor 12*d**y - 4 - 12*d - 8*d**2 + d**3 - 4 + 11*d**3 + 4*d**4.
4*(d - 1)*(d + 1)**2*(d + 2)
Let v(i) be the third derivative of -i**5/12 - 5*i**4/8 + 10*i**3/3 - 11*i**2 - 4*i. Factor v(c).
-5*(c - 1)*(c + 4)
Let u(f) be the first derivative of -f**3/15 + 13*f**2/10 - 22*f/5 - 311. What is c in u(c) = 0?
2, 11
Let l(q) be the first derivative of 2*q**5/75 - 2*q**3/45 - 73. Determine b so that l(b) = 0.
-1, 0, 1
Determine k so that -44/21*k**2 + 44/21 + 2/21*k - 2/21*k**3 = 0.
-22, -1, 1
Let p = 166 + -162. Suppose -c + x = 1, 6*c = p*c + 3*x - 3. Factor c - 40*n**4 + 100*n**3 + 5*n - 85/2*n**2.
-5*n*(n - 2)*(4*n - 1)**2/2
Factor 11*o**4 - 8*o**4 + 6*o**5 - 7146*o**3 + 7156*o**3 + 2*o**2 + 11*o**4.
2*o**2*(o + 1)**2*(3*o + 1)
Let n(b) be the first derivative of -2*b**3/9 - 157*b**2/3 + 316*b/3 - 808. Solve n(p) = 0.
-158, 1
Let u be -6*4/(-126) - 12/(-84). Let b(y) be the second derivative of 0*y**2 + 0*y**4 - 3/40*y**5 + 0 + 2*y + u*y**3 - 1/60*y**6. Find w such that b(w) = 0.
-2, 0, 1
Suppose -32/5 + 64/5*t - 4/5*t**3 + 2/5*t**4 - 6*t**2 = 0. Calculate t.
-4, 1, 4
Let z(a) be the second derivative of -a**7/4200 + a**6/120 - a**5/8 + a**4/6 - 6*a. Let p(d) be the third derivative of z(d). Factor p(v).
-3*(v - 5)**2/5
Let c be (-8)/(-176) + 441/2156. Factor 0 - 1/4*a**3 + c*a**4 - 1/2*a**2 + 0*a.
a**2*(a - 2)*(a + 1)/4
Let t be (-25 + 16)*((-8)/6 + 1). Factor -t*b - 3/4*b**2 + 0.
-3*b*(b + 4)/4
Let u(q) = 19*q**2 - 253*q + 163. Let j(x) = 5*x**2 - x - 1. Let b(v) = 5*j(v) - u(v). Factor b(o).
2*(o + 42)*(3*o - 2)
Let i(t) = 4 + 3*t**2 - 6*t - 7*t - 9 - 8. Let k be ((-45)/27)/(2/6). Let v(b) = -4*b**2 + 14*b + 14. Let s(a) = k*v(a) - 6*i(a). Suppose s(g) = 0. What is g?
-2
Let r(l) be the first derivative of -l**6/2 + 3*l**5 - 9*l**4/2 - 2*l**3 + 21*l**2/2 - 9*l + 104. Factor r(a).
-3*(a - 3)*(a - 1)**3*(a + 1)
Determine p, given that -282 + 593 - 296 - 50*p + 60*p**2 + 5*p**4 - 30*p**3 = 0.
1, 3
Let z(g) be the first derivative of 4*g**7/63 + 17*g**6/45 + 8*g**5/15 + g**4/6 + 19*g + 32. Let n(p) be the first derivative of z(p). Solve n(d) = 0 for d.
-3, -1, -1/4, 0
Find v, given that -15*v**3 + 9*v**4 - 32*v**2 - v**2 + 14616*v - 14625*v = 0.
-1, -1/3, 0, 3
Factor -24 - 16 - 21*p + 68 + 7*p + 2*p**2 - 16*p.
2*(p - 14)*(p - 1)
Suppose 2*b - 23 = -3*d, b + 3*b - 5*d = -9. Suppose n - 2*c = -b*n + 12, -n + 3*c = -5. Solve n*s + 3*s - 15*s**3 + 7*s - 9*s**4 + 12*s**2 = 0 for s.
-2, -2/3, 0, 1
Let g(a) = a**3 - 10*a**2 + 7*a + 21. Let b be g(9). Suppose 0*w**2 - b*w**5 + 14*w**4 - 21*w**3 + 9*w**2 + w**4 = 0. Calculate w.
0, 1, 3
Let z(i) = -i**2 + 13*i - 18. Let t(c) = c. Let k(n) = 2*t(n) - z(n). Factor k(d).
(d - 9)*(d - 2)
Let z(c) = -56*c**3 - 388*c**2 - 236*c + 674. Let j(u) = -u**4 + u**3 + u**2 + u + 1. Let g(f) = 2*j(f) + z(f). Determine w so that g(w) = 0.
-13, -2, 1
Factor -2*b - 1/3*b**4 + 7/3*b**2 + 0*b**3 + 0.
-b*(b - 2)*(b - 1)*(b + 3)/3
Let l = 1393/523 - -5/1569. Determine h, given that -14/9*h**3 - 34/3*h**2 - l - 112/9*h = 0.
-6, -1, -2/7
Let x(c) be the second derivative of c**7/21 + 52*c**6/225 + 22*c**5/75 - c**4/15 - 11*c**3/45 + 2*c**2/15 - 24*c + 1. Suppose x(p) = 0. Calculate p.
-2, -1, 1/5, 1/3
Let c(h) be the second derivative of 4*h**2 + 0 + 3*h**3 - 11*h + h**4 + 1/10*h**5. Factor c(m).
2*(m + 1)**2*(m + 4)
Let b be ((-270)/4)/(-6 + 10 - 10). Solve 27/2*k + 0 + b*k**2 + 99/4*k**4 - 15/4*k**5 - 183/4*k**3 = 0.
-2/5, 0, 1, 3
Let j(c) be the second derivative of 11*c**4/32 - 9*c**3/16 - 3*c**2/8 + 15*c + 2. Factor j(k).
3*(k - 1)*(11*k + 2)/8
What is b in 4/5 + 72*b**2 + 74/5*b + 162/5*b**3 = 0?
-2, -1/9
Factor 0 - 28/15*l - 2/5*l**2.
-2*l*(3*l + 14)/15
Let b(t) = 2*t**4 + 10*t**2 - 12*t + 4. Let u = 9 + -5. Let q(w) = -w**4 - w**3 - 9*w**2 + 13*w - 5. Let x(k) = u*q(k) + 3*b(k). Factor x(o).
2*(o - 2)*(o - 1)**2*(o + 2)
Factor n**3 - 1/2*n**2 - 1/2*n + 0.
n*(n - 1)*(2*n + 1)/2
Let i(z) be the third derivative of -1/15*z**5 + 0 + z**2 + 0*z**3 - 1/336*z**8 - 12*z - 1/35*z**7 - 3/40*z**6 + 0*z**4. Let i(h) = 0. Calculate h.
-4, -1, 0
Let h(s) = -872*s**3 + 1715*s**2 - 838*s + 1. Let z(w) = 870*w**3 - 1715*w**2 + 840*w. Let c(f) = 5*h(f) + 6*z(f). Solve c(x) = 0 for x.
-1/172, 1
Let l(s) be the third derivative of -s**6/280 + s**5/105 + 13*s**4/42 + 32*s**3/21 - 2*s**2 + 250*s. Factor l(x).
-(x + 2)**2*(3*x - 16)/7
Let f = -445/3 - -150. Let u = -23/21 + f. Factor u*n + 0 + 2/7*n**3 + 6/7*n**2.
2*n*(n + 1)*(n + 2)/7
Let f = 7 - 2. Find x, given that 5*x**5 - 13*x**f + 6*x**5 + 3*x**2 - 2*x - x**4 + 6*x**3 - 4*x**2 = 0.
-2, -1/2, 0, 1
Factor -1280 + 18*s**2 + 137*s**2 + 0 + 240*s + 5*s**3 + 880*s.
5*(s - 1)*(s + 16)**2
Let q = 20/21 + 1/3. Solve -3/7*d**2 + 3/7*d**4 + q*d**3 + 0 - 9/7*d = 0 for d.
-3, -1, 0, 1
Suppose 4*b - 4 = 4*g, 0 = -4*b + g + g + 6. Suppose 4*z = 2*q + 14, -b*z + q = 2*q - 5. Factor 3/2*h**4 - 3/2*h**z + 0 + 0*h - 1/2*h**5 + 1/2*h**2.
-h**2*(h - 1)**3/2
Factor -12*t**2 - 11 + 109 - 21*t - 3*t**3 + 2*t**3.
-(t - 2)*(t + 7)**2
Suppose -4*f + 0 = -12. Factor i + 2*i**f + 0*i**2 + 5*i + 8*i**2 + 2*i.
2*i*(i + 2)**2
Factor -2/9*x**3 - 88/9*x**2 - 350/3*x - 196.
-2*(x + 2)*(x + 21)**2/9
Let c = -21/4 + 181/36. Let b = c - -5/9. Let -b*v**2 + 0*v + 1/3 = 0. What is v?
-1, 1
Let h(p) be the third derivative of 0*p**3 + 1/20*p**5 + 0*p**4 + 0 + 8*p**2 + 0*p. Determine d, given that h(d) = 0.
0
Let v = 1906 + -5716/3. Let t(x) be the first derivative of -11 + 1/9*x**3 - 1/6*x**2 - v*x. Determine y, given that t(y) = 0.
-1, 2
Let w be (-24)/(-35) + (-34 - (-672)/20). Factor -2/21 + 4/21*k + w*k**2.
2*(k + 1)*(3*k - 1)/21
Suppose -29*i + 27*i = 128. Let b = 578/9 + i. Factor -b*q**2 + 0*q + 2/9*q**4 + 0 + 0*q**3.
2*q**2*(q - 1)*(q + 1)/9
Determine k so that 1/4*k**5 + 10 - 41/4*k**2 + 1/4*k**4 - 23/4*k**3 + 11/2*k = 0.
-4, -2, -1, 1, 5
Let p = -134 + 77. Let i = p - -119/2. Let -1/2*b**4 + i*b**3 - b**5 - b**2 + 0 + 0*b = 0. Calculate b.
-2, 0, 1/2, 1
Let l(k) be the third derivative of -k**8/168 + 11*k**7/420 + 19*k**6/240 + k**5/30 + 2*k**2 - 158. Find u, given that l(u) = 0.
-1, -1/4, 0, 4
Let u(z) be the third derivative of -z**6/360 + z**5/40 + z**3/3 - 7*z**2. Let c(w) be the first derivative of u(w). Solve c(r) = 0.
0, 3
Let f(l) = l**3 + 16*l**2 + 27*l - 12. Let g = 78 - 92. Let c be f(g). Determine r, given that -40/7*r - 52/7*r**c - 2*r**3 + 16/7 = 0.
-2, 2/7
Find s, given that -6/11*s**3 + 1/11*s + 0 + 5/11*s**2 = 0.
-1/6, 0, 1
Find g, given that 99*g + 28*g**2 + 101*g + 200*g - 33*g**2 = 0.
0, 80
Suppose -2*x + 65 = 57. Suppose 9*w = 4*w + 30. Factor x*b**2 + w - 5 - 5*b**2.
-(b - 1)*(b + 1)
Let b be 36/160*(5/(-15) - -1). Let f(r) be the second derivative of -6*r**3 + 7*r - 3/2*r**4 - 12*r**2 - b*r**5 + 0. Find l such that f(l) = 0.
-2
Let l(u) be the first derivative of 3*u**5/80 - u**4/2 + 13*u**3/8 - 9*u**2/4 - 32*u + 8. Let n(d) be the first derivative of l(d). Factor n(m).
3*(m - 6)*(m - 1)**2/4
Let p(l) be the first derivative of -4 - 5/12*l**4 + 2/3*l**2 - 1/3*l**3 + 1/18*l**6 + 0*l + 1/5*l**5. Factor p(r).
r*(r - 1)**2*(r + 1)*(r + 4)/3
Let k(j) be the first derivative of 4/7*j**4 - 40/7*j**2 + 4/7*j**3 + 50/7*j - 16 + 2/35*j**5. Factor k(v).
2*(v - 1)**2*(v + 5)**2/7
Suppose -w + 2*o = -4, w = -o - 2*o - 6. Let y(x) be the third derivative of 1/40*x**5 + 1/240*x**6 + 3*x**2 + 1/12*x**3 +