3/2*x**2 - 3/2 - 15*x**4 - 33/4*x + 3*x**3 + 21/4*x**5 = 0.
-1, -1/7, 1, 2
Factor -4/5*s**2 - 1/5*s**4 + 0 + 0*s - 4/5*s**3.
-s**2*(s + 2)**2/5
Solve -t**3 + 3*t + 2*t - 1 + 3 - 2*t = 0 for t.
-1, 2
Let c be 3/2 - 2/(-4). Suppose w - 1 = -2, 5*w = c*f - 11. Factor -4/3*g**f - 2/3*g**5 + 2*g + 2/3 - 2*g**4 + 4/3*g**2.
-2*(g - 1)*(g + 1)**4/3
Suppose 0*y + 6 = -3*y - 3*l, y - 4 = 2*l. Factor y + 10/7*g**2 - 8/7*g**3 - 4/7*g + 2/7*g**4.
2*g*(g - 2)*(g - 1)**2/7
Let y(p) be the second derivative of p**7/56 + p**6/10 + 9*p**5/40 + p**4/4 + p**3/8 - 7*p. Factor y(s).
3*s*(s + 1)**4/4
Let j be (-16)/(-32)*(3 - -1). Let p(y) be the second derivative of 1/120*y**6 + 0*y**4 - y - 1/12*y**3 + 0 - 1/8*y**j + 1/40*y**5. Solve p(t) = 0.
-1, 1
Let w be (-2 + (-3)/(-2))*-10. Suppose -2*i = 5*j - 20, 5*j - 4*i = -5 - w. Find a such that 1/4*a**4 + 0 + 0*a + 0*a**3 - 1/4*a**j = 0.
-1, 0, 1
Let d(n) be the first derivative of -n**4 - 16*n**3/3 + 6*n**2 + 72*n + 10. Factor d(l).
-4*(l - 2)*(l + 3)**2
Let f(r) be the first derivative of -r**4/38 + 8*r**3/57 - 4*r**2/19 - 11. Factor f(j).
-2*j*(j - 2)**2/19
Let z(x) be the second derivative of x**7/14 - x**6/10 - 9*x**5/5 - x**4 + 8*x**3 - x - 19. Find c, given that z(c) = 0.
-2, 0, 1, 4
Let v(j) be the first derivative of 1/50*j**5 + 0*j**2 - 2/3*j**3 + 1/100*j**6 + 1/60*j**4 - 1 + 0*j. Let q(y) be the third derivative of v(y). Factor q(a).
2*(3*a + 1)**2/5
Let g be -12*3*3/(-27). Factor -x**3 - 1/3*x**2 + x - 1/3*x**g + 2/3.
-(x - 1)*(x + 1)**2*(x + 2)/3
Let t be 6/2 - 3/((-30)/(-14)). Factor t*y + 12/5*y**2 - 16/5 - 2*y**3 + 2/5*y**4.
2*(y - 2)**3*(y + 1)/5
Let j be ((-24)/(-9))/((-2)/(-3)). Suppose j*o + 9 = 7*o. Factor o*k**3 + 2*k**3 - 4*k**3.
k**3
Let w(o) be the second derivative of -o**4/36 + o**3/18 - o. Factor w(p).
-p*(p - 1)/3
Let l(b) be the third derivative of -b**8/672 - b**7/420 + b**6/240 + b**5/120 - 20*b**2. Suppose l(j) = 0. What is j?
-1, 0, 1
Let y(v) be the third derivative of v**8/448 - v**7/140 + v**5/40 - v**4/32 + v**2. Factor y(c).
3*c*(c - 1)**3*(c + 1)/4
Suppose 0 = -5*b + 33 - 3. Find v, given that 2*v - v**4 + 6*v**2 + 0*v**2 + b*v**3 + 3*v**4 = 0.
-1, 0
Let t(i) be the first derivative of -1 - 11/2*i**2 - 16/5*i**5 + 2*i + i**4 + 14/3*i**3 + 7/6*i**6. Solve t(x) = 0.
-1, 2/7, 1
Factor 1/2*q**4 + 0*q + 0 + 0*q**2 + 1/2*q**3.
q**3*(q + 1)/2
Factor -2/15*m**2 + 4/5*m - 6/5.
-2*(m - 3)**2/15
Let x(y) be the first derivative of 0*y**2 + 0*y**4 + 1/6*y**7 - 4*y - 1/6*y**6 - 1/10*y**5 - 4 + 0*y**3. Let f(z) be the first derivative of x(z). Factor f(n).
n**3*(n - 1)*(7*n + 2)
Suppose -16 = -5*l + 3*z, 22*l - z = 18*l + 10. Let q = 2/41 + 33/164. Find m such that 1/4*m + 0 - 1/2*m**l + q*m**3 = 0.
0, 1
Let j = 56 - 54. Factor 3/2*b**j + 3*b**3 + 0*b + 0 + 3/2*b**4.
3*b**2*(b + 1)**2/2
Let h(w) = w**2 + w - 2. Let l be h(1). Let a(i) be the third derivative of -1/150*i**5 + 0*i**3 + l + 0*i + i**2 + 0*i**4. Determine n so that a(n) = 0.
0
Let a(b) be the second derivative of b**7/21 - 2*b**6/15 + b**5/10 + 4*b. Factor a(l).
2*l**3*(l - 1)**2
Let v(s) = -s**2 - 3*s - 4. Let x be v(-2). Let o be (-14)/(-21) + x/6. Factor -o*a**3 + a**2 - a + 1/3.
-(a - 1)**3/3
Solve -1/2*c**5 - c**3 + 3/2*c**4 + 3/2*c - c**2 - 1/2 = 0 for c.
-1, 1
Let s(f) be the third derivative of f**9/20160 + f**8/2240 - f**6/60 - f**5/30 - 3*f**2. Let q(r) be the third derivative of s(r). Factor q(i).
3*(i - 1)*(i + 2)**2
Let z = 104 + -101. Let k(a) be the third derivative of 0 - 1/24*a**4 + 0*a - 1/60*a**5 + 0*a**z - 3*a**2. Let k(r) = 0. What is r?
-1, 0
Let n(j) be the second derivative of -j**8/33600 + j**7/12600 - 7*j**4/12 - 4*j. Let l(c) be the third derivative of n(c). Factor l(m).
-m**2*(m - 1)/5
Let d(m) be the second derivative of -1/40*m**5 - 1/4*m**2 + 1/12*m**3 + 1/24*m**4 + 2*m + 0. Solve d(h) = 0 for h.
-1, 1
Let v(l) be the second derivative of -l**5/55 - l**4/66 + l**3/33 - 2*l. Factor v(a).
-2*a*(a + 1)*(2*a - 1)/11
Let j(v) be the third derivative of -v**6/900 + v**5/100 - v**4/30 + v**3/3 - 3*v**2. Let b(a) be the first derivative of j(a). Solve b(t) = 0 for t.
1, 2
Let m(t) = t + 6. Let l be m(-4). Factor -36*f**2 - f**3 + 36*f**l.
-f**3
Let -2*u + 4 - 2 + 2*u + u**3 - 3*u = 0. What is u?
-2, 1
Let c(t) be the first derivative of -t**4/14 - 2*t**3/7 - 3*t**2/7 - 2*t/7 - 4. Suppose c(g) = 0. What is g?
-1
Let a = 114 + -112. Let -3*c**3 + 6/5 - 27/5*c + 36/5*c**a = 0. Calculate c.
2/5, 1
Let k(r) = 10*r**2 - 25. Let v(w) = 9*w**2 - 24. Let x(b) = 4*k(b) - 5*v(b). Let x(g) = 0. Calculate g.
-2, 2
Let y(h) be the third derivative of -h**6/720 + h**4/48 + h**3/6 + h**2. Let j(i) be the first derivative of y(i). Find q such that j(q) = 0.
-1, 1
Let q be (-1194)/180 + (-2)/10. Let h = -19/3 - q. Factor -h*n**2 + 0*n**3 + 1/2*n**4 - 1/4*n + 0 + 1/4*n**5.
n*(n - 1)*(n + 1)**3/4
Find f, given that f**3 + 7*f**3 - 4*f**2 - 11*f**3 - f = 0.
-1, -1/3, 0
Let q(w) be the first derivative of w**5/30 - 4*w**3/3 - w**2 - 6. Let c(x) be the second derivative of q(x). Factor c(i).
2*(i - 2)*(i + 2)
Let o(p) be the second derivative of p**4/60 - p**3/5 + p**2/2 + 6*p. Factor o(t).
(t - 5)*(t - 1)/5
Let z(n) be the second derivative of -135*n**7/14 - 6*n**6 - n**5 + n. Factor z(k).
-5*k**3*(9*k + 2)**2
Let g be (6/4)/(3/4). Let j = -46 + 48. Solve 0*x**2 + 0*x - g*x**j + 2*x = 0 for x.
0, 1
Let t be ((-30)/(-25))/((-6)/(-15)). Factor 3*z - 4*z**3 + 2*z**4 - z + 0*z - 2*z**2 + 2*z**t.
2*z*(z - 1)**2*(z + 1)
Let y be -4 + 6*-4*(-10)/56. Factor 0 - 2/7*r**3 + 0*r**2 + y*r.
-2*r*(r - 1)*(r + 1)/7
Let p(a) be the first derivative of 2*a**5/5 + 3*a**4/2 + 4*a**3/3 - 17. Factor p(k).
2*k**2*(k + 1)*(k + 2)
Factor -27/5*a**4 + 12*a**2 + 24/5*a + 18/5*a**3 + 0.
-3*a*(a - 2)*(3*a + 2)**2/5
Let v(g) = -35*g**3 + 35*g**2 + 25*g + 15. Let k(q) = 9*q**3 - 9*q**2 - 6*q - 4. Let t(c) = -15*k(c) - 4*v(c). Suppose t(m) = 0. What is m?
-1, 0, 2
Let o = -1217/11 + 111. Suppose -4/11 - 2/11*r - 2/11*r**5 - o*r**4 + 8/11*r**2 + 4/11*r**3 = 0. What is r?
-2, -1, 1
Let u(m) be the third derivative of m**7/420 - m**6/80 + m**5/40 - m**4/48 + 5*m**2. Let u(i) = 0. What is i?
0, 1
Let l be -2*(2 - (-18)/(-4)). Let j(k) be the second derivative of 0*k**2 - 1/70*k**l + 0*k**3 - k - 1/42*k**4 + 0. Determine t, given that j(t) = 0.
-1, 0
Let w = 218/3 - 72. Find p, given that -w*p - 1/3*p**2 + 0 = 0.
-2, 0
Suppose 0 = z + 4*f + 3, 3*f + 38 = z - 5*z. Let w be 1/(21/z - -2). Factor p**3 + w*p - p**2 + 0*p**3 - 13*p.
p*(p - 2)*(p + 1)
Factor -450/7 - 2/7*r**2 + 60/7*r.
-2*(r - 15)**2/7
Let h be (36/(-32))/(3/(-4)). Solve h*k**3 + 0 + 0*k**2 - 3/2*k**5 + 0*k + 0*k**4 = 0 for k.
-1, 0, 1
Suppose 0 = -g + 6*g - 25, 3*c - 2*g = 2. Let b(v) = 4*v**3 + 15*v**2. Let s(y) = -2*y**3 - 8*y**2. Let h(k) = c*b(k) + 7*s(k). Suppose h(f) = 0. Calculate f.
-2, 0
Suppose -4*w + 0*w + 28 = 0. Suppose -8 - w = -3*r. Factor -2*i**4 + 0*i**2 + 2*i**2 + 0*i**4 + 2*i**r - 2*i**3.
2*i**2*(i - 1)**2*(i + 1)
Let l(n) be the first derivative of n**5/20 - n**3/4 + n**2/4 - 1. Let l(q) = 0. What is q?
-2, 0, 1
Let x(h) be the third derivative of h**8/10080 + h**5/20 - 3*h**2. Let i(k) be the third derivative of x(k). Factor i(f).
2*f**2
Let i be (40/(-40))/(2/(-6)). Find g, given that -1/6*g**i + 0 - 1/6*g**4 + 1/6*g**2 + 1/6*g = 0.
-1, 0, 1
Let u(y) = -y**3 - 5*y**2 - 5*y. Let g = 3 - 7. Let z be u(g). What is o in 2*o - 12*o**5 + 22*o**z - 3*o + 3*o - 6*o**3 - 6*o**2 = 0?
-1/2, 0, 1/3, 1
Suppose 0 = -2*l - 1 + 7. Let -4/13*f**2 + 2/13*f**5 + 2/13 + 2/13*f - 4/13*f**l + 2/13*f**4 = 0. Calculate f.
-1, 1
Let k(i) be the second derivative of -i - 1/48*i**4 + 0*i**3 + 0 + 0*i**2. Factor k(o).
-o**2/4
Factor 95/2*q + 15 - 35/2*q**2.
-5*(q - 3)*(7*q + 2)/2
Let y(v) be the first derivative of v**4/13 + 14*v**3/39 + 7*v**2/13 + 4*v/13 - 16. Factor y(w).
2*(w + 1)*(w + 2)*(2*w + 1)/13
Let u = 97/3 + -31. Factor 0 + 0*t**2 - 1/3*t**4 + u*t - t**3.
-t*(t - 1)*(t + 2)**2/3
Suppose -9 = 3*k - 30. Let n = k - 7. Find d, given that -2/11*d**3 + n*d**2 + 2/11*d + 0 = 0.
-1, 0, 1
Let l(r) be the first derivative of 1/12*r**3 - 1/8*r**2 + 4 - 1/2*r. Find j such that l(j) = 0.
-1, 2
Let q(f) = -79*f**3 + 149*f**2 + 299*f + 60. Let s(u) = -39*u**3 + 74*u**2 + 149*u + 30. Let x(c) = -6*q(c) + 1