z + 1)*(z + 2)/8
Factor -28*s**2 + 18*s + 26*s**2 - s**3 + 9*s**2.
-s*(s - 9)*(s + 2)
Let 2*v + 2*v**3 - v**4 + 4*v**4 - 3*v - v**2 - v - 2*v**4 = 0. What is v?
-2, -1, 0, 1
Let g(j) = -j**2 + 4*j. Let u be g(3). Let m be 0*(21/6)/7. Let 3*v**4 + 5*v**3 - v**u + m*v**3 - v**3 = 0. What is v?
-1, 0
Find z, given that 13*z**2 - z**3 + 6*z**2 - 33*z + 12 + 2*z**2 + 4 - 3*z**2 = 0.
1, 16
Suppose 28 = 9*c + 1. Factor -24*t**2 - 18*t**2 + 40*t + 85*t**2 - 35*t**c + 87*t**2.
-5*t*(t - 4)*(7*t + 2)
Factor 4*z + 8/5 + 33/10*z**2 + z**3 + 1/10*z**4.
(z + 1)**2*(z + 4)**2/10
Let s = 25 + -21. Factor -216*k**2 + 432*k + 48*k**3 - 324 + 35*k**4 + 28*k**s - 67*k**4.
-4*(k - 3)**4
Let v = 3165/4 - 791. Let z(y) be the second derivative of 0*y**3 - 11*y + 0 + 1/28*y**7 - v*y**4 - 1/5*y**6 + 0*y**2 + 3/8*y**5. Determine w so that z(w) = 0.
0, 1, 2
Let x(g) be the first derivative of -g**4/32 + 17*g**3/24 - 5*g**2 + 8*g - 38. Suppose x(v) = 0. What is v?
1, 8
Let b(t) be the second derivative of 11*t**5/20 + t**4/4 + 12*t**2 + t - 7. Let c(o) be the first derivative of b(o). Solve c(z) = 0 for z.
-2/11, 0
Let j(l) be the first derivative of l**3/12 + 25*l**2/8 - 13*l/2 - 131. Factor j(h).
(h - 1)*(h + 26)/4
Let l = 197 - 194. Let o(r) be the second derivative of 2/15*r**3 + 1/5*r**2 + 0 + l*r + 1/30*r**4. Factor o(b).
2*(b + 1)**2/5
Suppose z = -13 + 19. Suppose -d + 5*d - 5*t - 8 = 0, -3*t - z = -3*d. Factor 8/11 + 98/11*a**d + 56/11*a.
2*(7*a + 2)**2/11
Let s(z) be the second derivative of -z**4/60 - 79*z**3/5 - 56169*z**2/10 - 87*z + 1. Factor s(o).
-(o + 237)**2/5
Let f be (-4)/(-1)*178/534. Find c such that -8*c**3 - 8*c + f + 44/3*c**2 = 0.
1/3, 1/2, 1
Let k(q) be the third derivative of 0*q**5 + 1/360*q**6 + 0*q**3 + 12*q**2 + 0*q**4 + 0 + 0*q - 1/315*q**7 + 1/1008*q**8. Factor k(m).
m**3*(m - 1)**2/3
Factor 27/2*j + 0 + 3/2*j**4 - 3/2*j**3 - 27/2*j**2.
3*j*(j - 3)*(j - 1)*(j + 3)/2
Let r = -384/115 + 86/23. Factor 2/5*o**3 - r*o**4 + 0*o**2 + 0 + 0*o.
-2*o**3*(o - 1)/5
Let x(i) = i**3 + i**2 - 88*i + 0*i**2 + 88*i. Let w(t) = 3 - 3 - t**2 - t**3 - t**4. Let u(c) = -w(c) - x(c). What is p in u(p) = 0?
0
Solve -18*f - 8/9*f**2 - 40/9 = 0 for f.
-20, -1/4
Let f = 15562 - 15562. Factor 3/4*a**4 - 3/4*a**2 - 1/4*a + f + 1/4*a**3.
a*(a - 1)*(a + 1)*(3*a + 1)/4
Let m(b) be the second derivative of b**4/78 - 4*b**2/13 + 218*b. Factor m(r).
2*(r - 2)*(r + 2)/13
Let -20/3*l**2 + 8/3*l + 2*l**3 + 16/3 = 0. Calculate l.
-2/3, 2
Suppose 4*l + l = 80. Suppose -i = i - l. Determine j, given that 3*j**3 + 5*j**2 - 14*j**2 + i*j - 2*j = 0.
0, 1, 2
Let u(x) be the first derivative of x**3/4 + 129*x**2/8 + 63*x/2 - 35. Find g, given that u(g) = 0.
-42, -1
Let z = 4/2703 - -7196/8109. Solve z + 10/9*k + 2/9*k**2 = 0 for k.
-4, -1
Let h(s) be the second derivative of 0*s**2 - 1/14*s**3 + 10*s + 0 + 1/84*s**4. Let h(g) = 0. Calculate g.
0, 3
Suppose p = 2*p - 27. Suppose -3*l - 5*g - 7 = 0, -l + p = l - 3*g. Determine v, given that 2*v**2 + 4*v**4 - l*v**3 + 5*v**2 - 3*v**2 - v - v**5 = 0.
0, 1
Let j(u) be the second derivative of 7/8*u**3 - 5/16*u**4 + 0 - 5*u + 3/80*u**5 - 9/8*u**2. Factor j(v).
3*(v - 3)*(v - 1)**2/4
Factor -309*z**2 - 27*z - 632 - 46*z - 35*z + 2090 + 311*z**2.
2*(z - 27)**2
Let t(r) = -r - 13. Let g be t(-13). Let n be -3 + (-46)/(-9) - (1 + g). Find i, given that -2/9 - 20/9*i**3 - 10/9*i**4 - 20/9*i**2 - n*i - 2/9*i**5 = 0.
-1
Let b(o) = -o**2 + 9*o. Let v be b(9). Suppose 2*z - k = 5, -z + 21 = 2*z + 3*k. Factor 2*w**2 - 4 + v*w - z*w - w + 3*w.
2*(w - 2)*(w + 1)
Suppose -10*z = -152 + 842. Let m = -339/5 - z. Solve 6/5*q**4 - 2/5*q**5 - m*q**3 + 0*q + 2/5*q**2 + 0 = 0 for q.
0, 1
Let u be (15/25)/(81/60). Let r(i) be the first derivative of -1/6*i**4 + 0*i**2 + u*i**3 + 6 + 0*i. Find g, given that r(g) = 0.
0, 2
Let o = -1 - -15. Suppose i - 7 = 5*x + 19, -i = -2*x - o. Let 5*h**4 + i*h + 1 + 5*h**3 + 5*h**3 + 10*h**2 - h + h**5 = 0. What is h?
-1
Let l(r) be the third derivative of -1/105*r**7 - 5/27*r**4 - 37/270*r**5 + 0*r - 4/27*r**3 + 0 - 1/18*r**6 - 15*r**2. Solve l(m) = 0 for m.
-1, -2/3
Let a = -101 - -103. Let -3*r + 5*r**a + 11*r + 4*r - 2*r = 0. Calculate r.
-2, 0
Let q(w) be the first derivative of w**9/7560 - w**7/1050 + w**5/300 - 10*w**3/3 - 27. Let j(z) be the third derivative of q(z). Factor j(i).
2*i*(i - 1)**2*(i + 1)**2/5
Let f(k) be the third derivative of 5/24*k**3 + 0*k + 0 - 1/16*k**4 - 11*k**2 + 1/240*k**5. Factor f(m).
(m - 5)*(m - 1)/4
Suppose 78 = 33*d + 12. Let -3*x - 11/2*x**d - 3/2*x**3 + 0 = 0. What is x?
-3, -2/3, 0
Let z = -33788/5 - -6758. Solve -1/5*a**5 + 0*a**4 - 3/5*a + 2/5 + 4/5*a**3 - z*a**2 = 0.
-2, -1, 1
Let r(b) = -3*b**5 + 7*b**4 - 11*b**3 + 9*b**2 - 2. Let c(q) = 13*q**5 - 29*q**4 + 45*q**3 - 37*q**2 - q + 9. Let n(t) = 4*c(t) + 18*r(t). Factor n(m).
-2*m*(m - 2)*(m - 1)**3
Solve -32*x**2 - 2/3*x**3 - 512*x - 8192/3 = 0 for x.
-16
Suppose 0 = 2*p - 88 + 80. Let r(x) be the third derivative of 1/16*x**p - 7*x**2 + 1/2*x**3 + 0 + 0*x - 1/40*x**5. Factor r(l).
-3*(l - 2)*(l + 1)/2
Let p(k) = 17*k - 12*k - 7*k**2 + 5 - k**3 + 0*k**3. Let y(i) = -4*i**2 + 2*i + 2. Let o(c) = 2*p(c) - 5*y(c). Let o(n) = 0. What is n?
0, 3
Let f(j) be the first derivative of 2*j**5/25 + 6*j**4/5 + 26*j**3/5 + 28*j**2/5 + 128. Factor f(u).
2*u*(u + 1)*(u + 4)*(u + 7)/5
Factor -1740*t + 2450 - 2*t**3 + 99*t**2 - 816*t - 34*t + 43*t**2.
-2*(t - 35)**2*(t - 1)
Let a = 1106 + -3317/3. Let s(f) be the third derivative of 0 - a*f**5 - 5/3*f**3 + 8*f**2 + 0*f + 25/24*f**4 + 1/24*f**6. Factor s(b).
5*(b - 2)*(b - 1)**2
Let b = -184 - -187. Let p(u) be the first derivative of 3*u**2 + b + 2/3*u**3 + 4*u. Find r such that p(r) = 0.
-2, -1
Let m be (-1184)/(-36)*(-3)/4*-6. Find s, given that -9*s**3 - 142*s**4 + m*s**4 + 3*s**5 + 0*s**5 = 0.
-3, 0, 1
Suppose 5*f - 7 = u, 3*f + 4*u - 6*u = 0. Suppose 0*q = q - 6. Suppose 0*a - 10*a**2 - q*a + 13*a**f = 0. What is a?
0, 2
Let y(u) be the first derivative of 4/11*u - 4/55*u**5 - 1/11*u**4 + 16/33*u**3 - 7/11*u**2 + 1/33*u**6 + 7. Factor y(s).
2*(s - 1)**4*(s + 2)/11
Let p(u) = u + 22. Suppose 0 = 4*r + 20, 5*j + 66 = j + 2*r. Let k be p(j). Let -1/4*c**k - 5/4*c**2 - 7/4*c - 3/4 = 0. What is c?
-3, -1
Let o(f) be the first derivative of -3*f**4/28 - 15*f**3 + 252. Factor o(n).
-3*n**2*(n + 105)/7
Solve -24/17*l**2 - 2/17*l**4 - 6/17 - 20/17*l - 12/17*l**3 = 0.
-3, -1
Factor 64*z - 2*z**2 + 86*z - 44*z + 108.
-2*(z - 54)*(z + 1)
Let u(s) = 3*s**2 + 3*s + 2. Let l be u(-3). Let t be ((-5)/(-3))/(l/15) - 1. Factor 0 + 1/4*g**2 + t*g**3 + 0*g.
g**2*(g + 1)/4
Let t(o) be the second derivative of 2*o**6/15 - 51*o**5/5 + 49*o**4/3 + 34*o**3 - 100*o**2 - o - 143. Factor t(f).
4*(f - 50)*(f - 1)**2*(f + 1)
Let o(y) be the third derivative of -y**5/60 - y**4/12 + 5*y**3/2 - 60*y**2. Solve o(x) = 0 for x.
-5, 3
Let v(s) be the first derivative of 0*s + 3/8*s**4 + 1/10*s**5 + 1/120*s**6 + 1/3*s**3 + 0*s**2 - 5. Let u(h) be the third derivative of v(h). Factor u(m).
3*(m + 1)*(m + 3)
Let m = 90 + -50. Suppose -b + m = b. Solve b*r - 24*r**2 - 4*r - r**4 + 16*r**3 - 4 - 6*r**4 + 3*r**4 = 0.
1
Let c(z) = -6*z + 65. Let q be c(-16). Let n = q - 481/3. Solve n*j**2 + 0 - 2/3*j**4 + 0*j + 0*j**3 = 0.
-1, 0, 1
Determine s so that -16*s**4 + 111*s**3 - 57*s**2 + 0*s**2 - 3*s**5 - 35*s**4 = 0.
-19, 0, 1
Let h(r) be the first derivative of -r**6/120 - r**5/40 - r**4/48 + 22*r + 19. Let d(s) be the first derivative of h(s). Suppose d(k) = 0. What is k?
-1, 0
Let v = -87 + 91. Let i(g) be the second derivative of 0*g**3 - 1/9*g**2 + 1/54*g**v + 0 + 3*g. Solve i(m) = 0.
-1, 1
Let j(p) be the third derivative of -p**7/1050 + 11*p**6/1200 - 7*p**5/200 + p**4/15 - p**3/15 - p**2 + 19. Find c, given that j(c) = 0.
1/2, 1, 2
Let x(r) be the first derivative of -14/33*r**6 - 15 - 9/11*r**4 + 0*r - 2/33*r**3 + 62/55*r**5 + 2/11*r**2. Let x(d) = 0. What is d?
-2/7, 0, 1/2, 1
Let n(s) = 7*s**4 + 23*s**3 - 32*s**2 - 162*s + 156. Let h(r) = r**4 - r**3 - r**2 - r - 2. Let a(q) = -2*h(q) + n(q). Factor a(f).
5*(f - 2)*(f - 1)*(f + 4)**2
Suppose 8/17 - 2/17*x**2 + 0*x = 0. Calculate x.
-2, 2
Let o(q) be the first derivative of q**4/6 - 2*q**3 + 5*q**2 - 14*q/3 - 141. Find b, given that o(b) = 0.
1, 7
Factor -25/3*m**3 + 0*m 