0.
-1/2, 0
Let b(a) = 4*a**4 - 8*a**3 - 7*a**2 + 7. Let d(t) = 3*t**4 - 7*t**3 - 6*t**2 + 6. Let g(i) = -6*b(i) + 7*d(i). Factor g(z).
-z**3*(3*z + 1)
Factor -3/2*u**3 + 3/2*u**2 + 3/2*u - 3/2*u**4 + 0.
-3*u*(u - 1)*(u + 1)**2/2
Factor -4/7*x**3 + 4/7*x**2 + 8/7*x + 0.
-4*x*(x - 2)*(x + 1)/7
Let a(y) be the first derivative of 5 + 0*y**2 + 0*y - 3/5*y**5 + 3/2*y**4 - y**3. Solve a(m) = 0.
0, 1
Let f be 2*9/6*(-1)/(-2). Let o(x) be the first derivative of 0*x**2 - 2 + 2/3*x**3 - f*x**4 + 0*x + 6/5*x**5 - 1/3*x**6. Factor o(k).
-2*k**2*(k - 1)**3
Let q(d) be the second derivative of d**7/10080 - d**6/720 + d**5/160 + 2*d**4/3 - 6*d. Let v(n) be the third derivative of q(n). Factor v(k).
(k - 3)*(k - 1)/4
Suppose -2*t - 2*t + 16 = 0. Solve 0 - 2*l**2 - 4 + 8*l - t = 0 for l.
2
Let x(t) be the second derivative of -t**5/90 - t**4/12 - 2*t**3/9 - t**2 - t. Let o(v) be the first derivative of x(v). Find l, given that o(l) = 0.
-2, -1
Let x(o) be the first derivative of -2/7*o**2 + 6/7*o - 6 - 2/21*o**3. Solve x(a) = 0.
-3, 1
Let a be ((-42)/175)/(3/(-10)). Let i = 33/85 - -1/85. Factor -i*q**4 - 4/5*q + a*q**3 + 2/5 + 0*q**2.
-2*(q - 1)**3*(q + 1)/5
Let b(q) be the third derivative of -5*q**8/588 + 64*q**7/735 - 26*q**6/105 - 2*q**5/15 + 19*q**4/14 - 12*q**3/7 - 10*q**2. What is s in b(s) = 0?
-1, 2/5, 1, 3
Let b be (7/(-35))/(2/(-8)). Determine j so that 0 + 2/5*j**3 - 2/5*j**2 - b*j = 0.
-1, 0, 2
Let u = -1/145 - -148/435. Find d such that 0*d + 1/3*d**3 - u*d**4 - 1/3*d**5 + 0 + 1/3*d**2 = 0.
-1, 0, 1
Factor 20/9 - 4/9*w**2 - 16/9*w.
-4*(w - 1)*(w + 5)/9
Let u(z) be the second derivative of 0 - 3/10*z**5 + 3/10*z**6 - 3*z - 1/14*z**7 - 3/2*z**2 + 3/2*z**3 - 1/2*z**4. Determine d, given that u(d) = 0.
-1, 1
Suppose -3*d + 37 - 25 = 0. Let w**2 - 1/2*w**d - 1/2*w**5 + w**3 - 1/2 - 1/2*w = 0. Calculate w.
-1, 1
Let f(s) be the first derivative of s**6/30 - s**5/10 - 7*s + 3. Let p(o) be the first derivative of f(o). Factor p(c).
c**3*(c - 2)
Suppose h + 16 = 5*x, 5 = -3*h + 2. Let f(b) be the first derivative of 6*b - x - 2*b**2 + 2/9*b**3. Suppose f(i) = 0. What is i?
3
Suppose 32*a - 8 - 9/2*a**4 - 44*a**2 + 24*a**3 = 0. What is a?
2/3, 2
Let f(u) be the first derivative of u**6/60 - 2*u**5/15 - u**4/4 - u**3/3 - 5. Let c(k) be the third derivative of f(k). Find o such that c(o) = 0.
-1/3, 3
Let w(r) = -23*r**3 + 9*r**2 - 5. Let m(o) = 22*o**3 - 8*o**2 + 4. Let n be -3*(-1)/(-3)*-5. Let c(i) = n*m(i) + 4*w(i). Suppose c(j) = 0. What is j?
0, 2/9
Let l be 19/95 + 29/5. Let d(m) be the first derivative of 2*m**2 + 2/3*m**l - 2/5*m**5 - 3 - 2*m - 2*m**4 + 4/3*m**3. Let d(y) = 0. Calculate y.
-1, 1/2, 1
Suppose -6*f + 10 + 2 = 0. Let l(m) be the first derivative of 9/22*m**4 + 0*m - 4/55*m**5 - 1/11*m**6 - 3 + 0*m**3 - 4/11*m**f. Find g such that l(g) = 0.
-2, -2/3, 0, 1
Suppose 5*n + 4*a + 80 = 0, -3*a = 3*n + 9 + 36. Let h be (-36)/n + (-4)/(-20). Solve 8/3*d**4 + 1/3*d**3 + 16/3*d**5 + 0*d**h + 0 + 0*d = 0.
-1/4, 0
Let v(k) = k**3 + 7*k**2 + 9*k + 21. Let o be v(-6). Factor 1/5*t**2 + 1/5*t**5 + 0 - 1/5*t**4 + 0*t - 1/5*t**o.
t**2*(t - 1)**2*(t + 1)/5
Let p = -101 + 102. Solve -3/2*c + 1/2*c**2 + p = 0.
1, 2
Let u = 2788/985 + -6/197. Determine m, given that 18/5*m**3 - u*m**4 + 4/5 + 2*m**2 - 18/5*m = 0.
-1, 2/7, 1
Let g(v) = 8*v**2 - 8*v. Let m(n) = -3*n**2 + 3*n. Let w(s) = -s**3 - 3*s**2 - 4. Let o be w(-3). Let k(h) = o*g(h) - 11*m(h). Factor k(j).
j*(j - 1)
Let 9/2*m - 3/2*m**2 - 3 = 0. What is m?
1, 2
Suppose 0 = -4*o + 11 - 3. Let q(z) be the third derivative of 0 + 1/27*z**3 + 1/540*z**6 + 1/90*z**5 + 0*z + 1/36*z**4 - 2*z**o. Factor q(f).
2*(f + 1)**3/9
Let j = -77 - -771/10. Let u(l) be the first derivative of j*l**5 + 1/4*l**4 - 1 - 1/2*l + 0*l**3 - 1/2*l**2. Factor u(i).
(i - 1)*(i + 1)**3/2
Let f(j) be the third derivative of j**8/1848 + j**7/1155 - j**6/220 - j**5/66 - j**4/66 - j**2. Factor f(a).
2*a*(a - 2)*(a + 1)**3/11
Let f = 41 - 39. Determine q, given that 1/3*q**f + 0 + 2/3*q - 1/3*q**3 = 0.
-1, 0, 2
Let m be 1/((2 - -1)/3). Suppose -5*z - 3 + m = 2*v, 0 = -4*z + 5*v + 5. Solve 0*w**3 + z - 2/7*w**4 + 0*w + 0*w**2 = 0 for w.
0
Let z(m) = -3*m - 30. Let p be z(-10). Solve p*q + 1/6*q**4 + 1/6*q**2 - 1/3*q**3 + 0 = 0 for q.
0, 1
Factor 22 + 2*y**3 - 7*y - 24 + 5*y + y**2 + y**2.
2*(y - 1)*(y + 1)**2
Let m(t) = t**2 + 7*t + 2. Let s(j) = -5*j**2 - 29*j - 9. Let w(x) = 9*m(x) + 2*s(x). Let a be w(4). Factor 0*f + 0 + 2/3*f**2 + 0*f**3 - 2/3*f**a.
-2*f**2*(f - 1)*(f + 1)/3
Factor 11*y + 9/4*y**3 + 1/4*y**4 + 6 + 15/2*y**2.
(y + 2)**3*(y + 3)/4
Suppose 5*y + 7 = -8, -a = 5*y + 13. Let d(f) be the second derivative of 0*f**4 - 1/120*f**6 + f + 0 + 0*f**3 - 1/80*f**5 + 0*f**a. Factor d(x).
-x**3*(x + 1)/4
Suppose -4*l + 7*l - 15 = 0. Let n = -17 - -19. Determine r so that -54*r**3 - 14*r**l - 36*r**4 - 17*r**n - 10*r**4 - 9*r**2 - 4*r = 0.
-1, -2/7, 0
Let c be 78/112 - 1/8. Factor -2/7*x**2 + 6/7*x - c.
-2*(x - 2)*(x - 1)/7
Let u(k) = 7*k**2 - 4*k + 9. Let o(g) = -3*g**2 + 2*g - 4. Let i(v) = 9*o(v) + 4*u(v). Find w, given that i(w) = 0.
-2, 0
Let g(b) = -8*b**3 + 2*b - 6. Let k(s) = -s**3 - 1. Suppose -2*j = 4 + 8. Let p(d) = -d**2 + 6*d + 1. Let x be p(6). Let c(v) = j*k(v) + x*g(v). Solve c(n) = 0.
-1, 0, 1
Suppose -k - 2 + 7 = 0. Let y = k - 3. Let y*x - 2*x**3 + 9*x**2 - 9*x**2 = 0. Calculate x.
-1, 0, 1
Let a(t) be the second derivative of t**7/105 - t**6/60 + t**2/2 - 3*t. Let h(y) be the first derivative of a(y). Suppose h(q) = 0. What is q?
0, 1
Let r(c) be the first derivative of c**6/9 - c**4/3 + c**2/3 + 5. Factor r(o).
2*o*(o - 1)**2*(o + 1)**2/3
Factor 0*x**3 + 0 + 1/5*x**5 + 0*x**2 + 0*x**4 + 0*x.
x**5/5
Let g(y) be the first derivative of -21*y**5/5 - 27*y**4/4 - 2*y**3 + 10. Factor g(x).
-3*x**2*(x + 1)*(7*x + 2)
Let j(n) be the first derivative of -n**4/10 + 2*n**3/15 + 2*n**2/5 + 2. Find d such that j(d) = 0.
-1, 0, 2
Let q be 16/12 - (1 + 0). Let p(h) be the third derivative of h**2 + 1/105*h**7 + 0 - 1/15*h**6 + 1/5*h**5 - 1/3*h**4 + 0*h + q*h**3. Factor p(a).
2*(a - 1)**4
Let y be 3/(-12) + (-58)/(-8). Find d, given that d**4 + 7 - d**2 - y = 0.
-1, 0, 1
Let o(b) be the first derivative of b**3/6 - 5. Determine v so that o(v) = 0.
0
Let n(f) be the first derivative of -4*f**3/27 + f**2/9 + 2*f/9 - 7. Factor n(r).
-2*(r - 1)*(2*r + 1)/9
Find b, given that -381*b**2 + 353*b**2 - 8 - 64*b - 8 = 0.
-2, -2/7
Let h be 215030/75 - (-2)/(-5). Let s = h - 2736. Factor 56*k**3 - 8/3 - s*k**4 - 8*k + 94/3*k**2.
-2*(2*k - 1)**2*(7*k + 2)**2/3
Let f(d) be the first derivative of -d**7/280 - d**6/30 - d**5/8 - d**4/4 + d**3 + 6. Let n(m) be the third derivative of f(m). Factor n(y).
-3*(y + 1)**2*(y + 2)
Let w(z) be the third derivative of z**8/448 + 13*z**7/840 + 17*z**6/480 + z**5/80 - z**4/12 - z**3/6 - 27*z**2. Factor w(k).
(k + 1)**3*(k + 2)*(3*k - 2)/4
Suppose 3*g + 18 - 3 = 0. Let c be (0 - 1)*(3 + g). Factor -1/3*b**4 + 0 + 1/3*b**c + 0*b + 0*b**3.
-b**2*(b - 1)*(b + 1)/3
Factor -162 - 25*f**4 - 381*f - 1188*f**2 - 167*f**4 + 1110*f + 816*f**3.
-3*(f - 2)*(4*f - 3)**3
Let o(r) be the second derivative of -r**7/189 - r**6/135 + r**5/90 + r**4/54 - 3*r. Solve o(a) = 0 for a.
-1, 0, 1
Let r be (24/(-20))/((-3)/(-80)). Let a be (-2)/8 - 8/r. Suppose 0*z - z**2 - 49/4*z**5 - 8*z**3 - 77/4*z**4 + a = 0. What is z?
-1, -2/7, 0
Let d(b) = b**3 + 3*b**2 + 2*b + 3. Let v be d(-2). Let h = -6 - -9. Solve 4*j**h + j**2 + j**v + 2*j**3 + j**4 - 5*j**3 = 0.
-1, 0
Factor -3/7*y**2 + 0*y + 0.
-3*y**2/7
Let h(g) = -g**2 - 1. Let j(k) = -8*k**2 - 18*k - 29. Let y(m) = -5*h(m) + j(m). Suppose y(f) = 0. Calculate f.
-4, -2
Suppose -3*p + 3 = 0, -5*o - 6*p + 2*p + 24 = 0. Suppose o = 5*y - 6. Factor 1/3 + 1/3*l**y + 2/3*l.
(l + 1)**2/3
Let z be 19/(-76) - 2/(-8). Suppose 3*j = 4 + 2. Let z*t - 1/4 + 1/4*t**j = 0. What is t?
-1, 1
Let k be 28/60 - (-1 + 78/90). Factor -3/5 - k*z**3 - 9/5*z**2 - 9/5*z.
-3*(z + 1)**3/5
Factor 0 - 6/5*p**2 + 6/5*p**4 + 0*p**3 - 3/5*p + 3/5*p**5.
3*p*(p - 1)*(p + 1)**3/5
Let i = -197 + 395/2. Factor -3/4*z**3 + 1/2 - i*z**2 + 3/4*z.
-(z - 1)*(z + 1)*(3*z + 2)/4
Let h(a) be the third derivative of -a**8/30240 + a**5/20 - 2*a**2. Let o(p) be the third derivative of h(p). Factor o(r).
-2*r**2/3
Suppose n - 1