Factor -47*m**3 + 15*m**3 + 6*m**4 + 8*m**2 + 8*m**4.
2*m**2*(m - 2)*(7*m - 2)
Let v(j) = j**2 + 4*j + 1. Let i be v(-2). Let b be -1 + i - (-10 - -6). Suppose 2/5*r**2 + 2/5*r + b = 0. Calculate r.
-1, 0
Let f(k) = 19*k**4 - 7*k**3 - 31*k**2 - 7*k + 12. Let w(q) = 13*q**4 - 5*q**3 - 21*q**2 - 5*q + 8. Let m(g) = -5*f(g) + 7*w(g). Solve m(l) = 0 for l.
-1, 1
Let 52*y + 2*y**3 + 6*y**2 - 22*y - 26*y = 0. What is y?
-2, -1, 0
Suppose 0 = -5*s - 5, -3*o + 0*o - 2995 = 4*s. Let l = -10953/11 - o. Factor 4/11 - l*y + 10/11*y**2.
2*(y - 1)*(5*y - 2)/11
Let q(t) = -2*t - 4. Let v be q(-3). Find u such that 6*u**2 - 1 - 1 - 8*u**v + 4*u = 0.
1
Let b(j) = 5*j**2 + 32*j + 125. Let u(p) = -4*p**2 - 32*p - 126. Let f(q) = 2*b(q) + 3*u(q). Factor f(c).
-2*(c + 8)**2
Let b(x) be the first derivative of -5/3*x**3 - 3/8*x**4 + 4*x - x**2 - 5. Factor b(v).
-(v + 2)**2*(3*v - 2)/2
Let c(g) = g**4 + g**2 + g - 1. Let z = 25 + -28. Let b(a) = -a**5 - 6*a**4 - 6*a**3 - 6*a**2 - 3*a + 2. Let u(p) = z*b(p) - 6*c(p). Factor u(r).
3*r*(r + 1)**4
Let o(t) = -t**3 - 11*t**2 - 2*t - 12. Let d be o(-11). Let b be (-15)/25 - (-21)/d. Solve b*u**2 + 0*u - 3/2 = 0 for u.
-1, 1
Factor -1/8 + 0*g + 1/8*g**2.
(g - 1)*(g + 1)/8
Let j(v) be the second derivative of v**8/10080 + v**7/3780 + v**4/4 - 3*v. Let k(p) be the third derivative of j(p). Solve k(c) = 0 for c.
-1, 0
Let y(t) be the second derivative of -t**7/98 - 3*t**6/35 - 39*t**5/140 - 3*t**4/7 - 2*t**3/7 - 6*t. Factor y(n).
-3*n*(n + 1)**2*(n + 2)**2/7
Let r = 672/17 + -79/2. Let z = r + 607/170. Find b, given that 8/5*b**4 + 22/5*b**3 - 2/5 + 2/5*b + z*b**2 = 0.
-1, 1/4
Let c(m) = m**2 + m + 1. Let a(b) = -2*b**3 - 8*b**2 - 24*b - 12. Let z(k) = -a(k) + 6*c(k). Determine s so that z(s) = 0.
-3, -1
Find f, given that -8/5*f**5 + 2/5 + 16/5*f**3 - 4/5*f**2 - 8/5*f + 2/5*f**4 = 0.
-1, 1/4, 1
Suppose 0 = 5*g + 7 + 13, -10 = -2*u + 3*g. Let x = 7/5 + u. Determine d, given that -x*d**3 + 0*d**2 + 0 + 2/5*d = 0.
-1, 0, 1
Let v(c) be the first derivative of 21*c**4/4 - 9*c**3 - 18*c**2 + 12*c + 10. Solve v(b) = 0.
-1, 2/7, 2
Suppose 3*i + 15 = c + 2*c, 5*i = 4*c - 21. Factor -4*g + 2*g**5 + 3*g**4 - c*g**2 + 2*g**3 + 3*g**4 + 2*g**2 - 4*g**2.
2*g*(g - 1)*(g + 1)**2*(g + 2)
Let y = -25/9 - -143/45. Factor 2/5*z**2 - 2/5*z + y*z**3 - 2/5.
2*(z - 1)*(z + 1)**2/5
Let m = 131 + -128. Let n(y) = -y**2 - y + 2. Let u be n(0). Let 2*x**2 + 2*x**u + 2*x**2 + m*x**3 + 3*x = 0. What is x?
-1, 0
Let w(s) be the third derivative of -s**8/448 - s**7/140 + s**6/80 + s**5/10 + 7*s**4/32 + s**3/4 - 2*s**2. Solve w(g) = 0 for g.
-1, 2
Let h(l) = 7*l**3 + l**2 + 7*l - 13. Let o(v) = v**3 + v - 2. Let q be ((-468)/30)/(4/(-10)). Let d(b) = q*o(b) - 6*h(b). Solve d(i) = 0.
-1, 0
Suppose 2*u = 7 - 19. Let g(v) = -v**5 - v**3 + v - 1. Let q(k) = 4*k**5 + 3*k**4 + 5*k**3 - 2*k**2 - 6*k + 2. Let d(t) = u*g(t) - 2*q(t). Factor d(x).
-2*(x - 1)*(x + 1)**4
Let -16/7 - 4/7*v**2 + 20/7*v = 0. Calculate v.
1, 4
Let i(r) be the third derivative of r**5/30 + r**4/3 + 4*r**3/3 + 4*r**2. Factor i(c).
2*(c + 2)**2
Let c(a) = a**3 + 6*a**2 - 2*a - 10. Let y be c(-6). Determine n, given that -4/3*n + 0 - 2/3*n**y = 0.
-2, 0
Let a(c) = c**2 - 6*c + 4. Let w be a(5). Let g be (-185)/65 - (w + -2). Determine u, given that g*u**3 + 0 + 0*u**2 - 2/13*u = 0.
-1, 0, 1
Let j(p) be the third derivative of p**5/90 - p**4/9 + 4*p**3/9 - 11*p**2. Factor j(o).
2*(o - 2)**2/3
Let s be (3/4)/(3/48). Let z be (147/s)/(-7) - -2. Factor 1/2*w**3 + 0*w**2 - z - 1/2*w + 1/4*w**4.
(w - 1)*(w + 1)**3/4
Let q(z) be the third derivative of z**8/1176 + 2*z**7/735 - z**5/105 - z**4/84 + 23*z**2 - z. Factor q(j).
2*j*(j - 1)*(j + 1)**3/7
Let d be (6/(-4))/(6/(-1)). Suppose -16 = 4*t - 16. Factor d*i + 1/2*i**2 + t + 1/4*i**3.
i*(i + 1)**2/4
Let u = -93 - -559/6. Let l(i) be the second derivative of 0*i**2 + 0 - u*i**4 + 1/3*i**3 + i. Factor l(s).
-2*s*(s - 1)
Let m = -1 + 3. Factor 2*p**m + 8*p**2 + 2 + 0 + 9*p - 3*p**2.
(p + 1)*(7*p + 2)
Let p be ((-28)/(-36) - 1) + (-29)/(-9). Determine w, given that 0*w - 2/7*w**4 + 4/7*w**p - 2/7*w**2 + 0 = 0.
0, 1
Suppose 4*l = l + 12. Suppose -4*y + l = -8. Find i such that -2 - i**y + 2*i**2 + 3*i - i - i**3 = 0.
-1, 1
Let y = 41 + -34. Let v(z) be the third derivative of 0 + 0*z**5 + z**2 + 2/105*z**y + 0*z**4 + 0*z**6 + 0*z**3 + 1/168*z**8 + 0*z. Solve v(g) = 0 for g.
-2, 0
Let x(d) be the third derivative of -d**7/3780 + d**6/1080 + d**4/8 + 2*d**2. Let l(f) be the second derivative of x(f). Factor l(c).
-2*c*(c - 1)/3
Let i(k) be the first derivative of -k**6/3 + 2*k**4 - 4*k**3/3 - 3*k**2 + 4*k + 17. Suppose i(w) = 0. What is w?
-2, -1, 1
Let x(i) = i**4 - i**3 + i**2 - i. Let y(k) = 2*k**4 - 3*k**3 + 4*k**2 - 3*k. Let z(v) = v - 11. Let m be z(8). Let b(c) = m*x(c) + y(c). Solve b(n) = 0.
-1, 0, 1
Let r(x) be the first derivative of x**3/9 - 2*x**2 + 12*x + 58. Factor r(o).
(o - 6)**2/3
Let k be (0 - 2) + -2 + 1. Let t(g) = -6*g**2 - 4*g + 4. Let u(x) = -5*x**2 - 4*x + 3. Let m(c) = k*t(c) + 4*u(c). Find h, given that m(h) = 0.
-2, 0
Suppose -1 = -y + 3. Let n(z) = -4*z**2 + 7*z + 2. Let x(v) = 4*v**2 - 8*v - 3. Let p(a) = y*n(a) + 3*x(a). Factor p(g).
-(2*g - 1)**2
Let j(f) be the first derivative of f**6/300 + f**5/150 - f**4/30 - 3*f**2/2 - 1. Let t(h) be the second derivative of j(h). Suppose t(u) = 0. Calculate u.
-2, 0, 1
Let v be (-36)/273 + 12/42. Let o be (16/(-78))/(4/(-6)). Factor -o*f + v + 2/13*f**2.
2*(f - 1)**2/13
Let v(c) be the second derivative of c**4/4 + c**3 + 3*c**2/2 + 17*c. Solve v(w) = 0.
-1
Suppose -a + 4 - 42*a**2 - 4*a + 3*a + 0 = 0. Calculate a.
-1/3, 2/7
Solve -8/3*a**2 + 0 + 4*a**3 - 8/3*a**4 + 2/3*a**5 + 2/3*a = 0.
0, 1
Let s(u) be the third derivative of -u**9/15120 - u**8/6720 + u**7/2520 + u**6/720 - u**4/3 - 5*u**2. Let w(l) be the second derivative of s(l). Factor w(f).
-f*(f - 1)*(f + 1)**2
Let w(r) = r**5 - r**3 + r**2 + r. Let q(d) = -5*d**5 - 6*d**4 - 3*d**3 - 5*d**2 - 3*d. Let a(f) = q(f) + 3*w(f). Find g, given that a(g) = 0.
-1, 0
Let d(x) be the first derivative of 2*x**3/3 + x**2 + 5. Factor d(m).
2*m*(m + 1)
Let c(y) = -9*y + 6. Let b be c(2). Let t be (-137)/b - 15/20. Factor t*j**3 - 16/3*j**2 + 32/3 + 2/3*j**5 - 14/3*j**4 - 32/3*j.
2*(j - 2)**4*(j + 1)/3
Let x(k) be the first derivative of k**8/504 - k**6/90 + k**4/36 + 3*k**2/2 - 1. Let m(y) be the second derivative of x(y). Factor m(r).
2*r*(r - 1)**2*(r + 1)**2/3
Let t = 3/11 - -13/33. Determine d, given that 0*d**2 - 1/6*d**5 - 2/3*d**3 - t*d**4 + 0*d + 0 = 0.
-2, 0
Let f(s) be the third derivative of -s**5/60 + 7*s**4/24 + s**3/3 - s**2. Let n be f(7). Find y, given that -4*y**4 + y - y**2 + y**3 - n*y + 5*y**4 = 0.
-1, 0, 1
Factor -8*b - 5 + 1 - 3320*b**2 + 3316*b**2.
-4*(b + 1)**2
Suppose -p + 3 = -0. Solve o**3 - o**2 + o**3 + 4*o + 4*o**2 + p*o**2 = 0 for o.
-2, -1, 0
Suppose -4*i = -8*i + 52. Let t(c) = -9*c**2 + 12*c - 3. Let h(d) = -19*d**2 + 24*d - 5. Let a(w) = i*t(w) - 6*h(w). Factor a(v).
-3*(v - 3)*(v - 1)
Suppose -3*w - 7 = 14. Let q = w + 10. Solve -o**4 - 6*o - 1 - q*o**3 - 12*o**2 - 2*o**4 - 7*o**3 = 0 for o.
-1, -1/3
Suppose -17 = -t - 4*s, 5*t - 42 = 2*t - 3*s. Factor -15*q**3 - 30*q**4 - 13*q**2 - 2*q - t*q**3 + 10*q**4.
-q*(2*q + 1)**2*(5*q + 2)
Factor -3/2*f**3 + 9/2 - 21/2*f + 15/2*f**2.
-3*(f - 3)*(f - 1)**2/2
Let w(y) = -2*y**4 - 4*y**3 - 3*y**2 + 3*y. Let d(p) = 7*p**4 + 15*p**3 + 11*p**2 - 11*p. Let f(x) = -6*d(x) - 22*w(x). Factor f(i).
2*i**3*(i - 1)
Let r(o) be the third derivative of -o**6/110 - o**5/330 - 2*o**2. Factor r(j).
-2*j**2*(6*j + 1)/11
Let u be 6/(-6)*-5 + -2. Find o such that 0*o + 0 - 3/4*o**u + 1/2*o**2 + 1/4*o**4 = 0.
0, 1, 2
Let f(t) = -9*t - 2. Let q be f(-3). Let n be ((-2)/(-8))/(q/120). Suppose -2/5*c**2 - 4/5 + n*c = 0. Calculate c.
1, 2
Let i(q) be the second derivative of -q**7/2520 - q**6/360 - q**5/120 - q**4/72 + q**3/3 + q. Let v(g) be the second derivative of i(g). Factor v(d).
-(d + 1)**3/3
Let -66*q + q**2 + 0 + 32 + 82*q + q**2 = 0. What is q?
-4
Suppose h + 4*k = 7 - 4, -3*h + 3*k + 9 = 0. Let f(y) be the second derivative of 2/45*y**6 - 1/30*y**5 + 0 + 0*y**2 + 0*y**h - 1/18*y**4 - 2*y. Factor f(q).
2*q**2*(q - 1)*(2*q + 1)/3
Let g(f) = -2*f - 16. Let o be g(-12). Let h(z)