+ x*b**3 - 2/5*b**2 = 0.
-1, 0, 1
Suppose -j = 2*j - 12. Suppose -4 = -j*h, -2*y - 5*h = -0*y - 19. Factor y*l**4 - 2*l**3 + 14*l**5 + 3*l**4 - 2*l**3.
2*l**3*(l + 1)*(7*l - 2)
Let h(m) be the third derivative of -m**7/840 - m**6/120 - m**5/40 - 5*m**4/24 - 5*m**2. Let p(d) be the second derivative of h(d). Suppose p(g) = 0. What is g?
-1
Factor -1/5*m**2 - 1/5*m + 1/5*m**3 + 1/5.
(m - 1)**2*(m + 1)/5
Let o(a) be the second derivative of 1/21*a**3 - 1/42*a**4 + 0 + 2/7*a**2 + 2*a. Factor o(r).
-2*(r - 2)*(r + 1)/7
Let q(o) = 2*o**2 - 4*o - 11. Let z(j) = -j**3 - 5*j**2 + 7*j + 1. Let v be z(-6). Let d(m) = 3*m**2 - 9*m - 21. Let w(i) = v*d(i) + 9*q(i). Factor w(b).
3*(b + 1)*(b + 2)
Let b be 1/(-4) - 9/(-4). Let z(j) = -j - 4. Let n be z(-5). Find q such that -3*q**2 + 2*q**4 + b - q**3 - q - n + 2*q**3 = 0.
-1, 1/2, 1
Let l = 5 - 2. Let 0*t**4 + 3*t**3 + 3*t**4 + 3*t**5 - l*t**2 - 6*t**5 = 0. What is t?
-1, 0, 1
Let x = 11 - 8. Suppose 3*t**3 + 2 + 6*t - 2*t**x + 4*t**2 - t = 0. What is t?
-2, -1
Let f be ((-2)/96)/((-3)/6). Let c(o) be the third derivative of -1/210*o**7 + 0*o**3 - 1/20*o**5 + 0 - f*o**4 + 0*o + 2*o**2 - 1/40*o**6. Factor c(l).
-l*(l + 1)**3
Let z(f) be the second derivative of -5*f**7/42 - f**6/2 - 3*f**5/4 - 5*f**4/12 - 17*f. Suppose z(s) = 0. Calculate s.
-1, 0
Let n(d) be the second derivative of 5*d + 0 + 0*d**2 + 3/2*d**3 - 1/4*d**4. Factor n(t).
-3*t*(t - 3)
Let w(t) be the third derivative of t**6/120 - t**5/48 - 7*t**4/96 + t**3/12 - 6*t**2. Factor w(n).
(n - 2)*(n + 1)*(4*n - 1)/4
Let p(c) be the first derivative of 294*c**3/13 + 84*c**2/13 + 8*c/13 - 15. Solve p(d) = 0.
-2/21
Let q = 554/75 + -168/25. Factor 8/3 - 4/3*t + 1/3*t**3 - q*t**2.
(t - 2)**2*(t + 2)/3
Solve -2/19*s**3 + 4/19 - 4/19*s**2 + 2/19*s = 0 for s.
-2, -1, 1
Let s(g) be the first derivative of 14*g**3/3 + 2*g**2 - 2*g + 1. Let m(p) = 9*p**2 + 3*p - 1. Let y(n) = 8*m(n) - 5*s(n). Factor y(u).
2*(u + 1)**2
Factor -28 + 16*y**3 + 8*y**2 + 36 - 11*y**4 - 5*y**4 - 19*y + 4*y**5 - y.
4*(y - 2)*(y - 1)**3*(y + 1)
Let u(d) be the second derivative of 2*d**7/21 - 2*d**6/15 - d**5/5 + d**4/3 + 30*d. What is n in u(n) = 0?
-1, 0, 1
Let c(a) = -a**2 - 1. Let m(p) = p**3 - 13*p**2 - 2*p + 7. Let h(v) = 5*c(v) - m(v). Let x be h(8). Solve 2/3*s**3 - 2/3*s + 1/3 + 0*s**2 - 1/3*s**x = 0.
-1, 1
Let j(c) be the second derivative of -4/13*c**2 - c - 4/39*c**3 + 0 - 1/78*c**4. Factor j(o).
-2*(o + 2)**2/13
Let r(a) = -a - 12. Let o be r(-14). Let 1/4*y**o - 1/2*y + 1/4 = 0. Calculate y.
1
What is q in 16*q + 5*q**2 - 9*q**2 - 8 + 12*q - 8*q**2 = 0?
1/3, 2
Factor 0*a**4 + 1/3*a**3 - 1/3*a**5 + 0*a + 0 + 0*a**2.
-a**3*(a - 1)*(a + 1)/3
What is g in -4/5*g**5 + 5*g**3 + 0 - 6/5*g**2 + 0*g - 3/5*g**4 = 0?
-3, 0, 1/4, 2
Factor 4/3*k + 4/3*k**3 + 2*k**2 + 1/3*k**4 + 1/3.
(k + 1)**4/3
Let v(j) be the second derivative of j**7/2520 - j**5/120 - j**4/36 - j**3/2 - j. Let h(f) be the second derivative of v(f). Solve h(o) = 0 for o.
-1, 2
Let s(h) be the second derivative of -10*h**7/21 + 5*h**6/6 + 3*h**5/4 - 25*h**4/12 + 5*h**3/6 - 2*h + 8. Solve s(y) = 0 for y.
-1, 0, 1/4, 1
Solve 2/5*u**4 + 1/5*u**3 + 0 + 0*u + 1/5*u**5 + 0*u**2 = 0 for u.
-1, 0
Factor 127*g**2 - 65*g**2 + 16*g - 66*g**2.
-4*g*(g - 4)
Factor -3*p**3 + p**4 + 0*p**4 - 2*p**4 + p**5 + 0*p**3 + 2*p + p**2.
p*(p - 2)*(p - 1)*(p + 1)**2
Let s(f) be the third derivative of f**7/70 + f**6/60 - f**5/20 - f**4/12 + 5*f**2. Suppose s(r) = 0. What is r?
-1, -2/3, 0, 1
Let d(x) be the third derivative of x**9/120960 - x**5/30 - 2*x**2. Let o(b) be the third derivative of d(b). Suppose o(c) = 0. What is c?
0
Let s(h) be the first derivative of -h**7/231 - h**6/33 - 9*h**5/110 - 7*h**4/66 - 2*h**3/33 + 3*h - 4. Let q(w) be the first derivative of s(w). Factor q(f).
-2*f*(f + 1)**3*(f + 2)/11
Let p(m) be the first derivative of 2*m**3/15 + 4*m**2/5 + 14. Factor p(z).
2*z*(z + 4)/5
Let k(f) = -129*f**3 - 369*f**2 - 351*f - 111. Let w(s) = 8*s**3 + 23*s**2 + 22*s + 7. Let t(r) = 2*k(r) + 33*w(r). What is h in t(h) = 0?
-3/2, -1
Let x(n) = 8*n**4 + 2*n**3 - 12*n**2 - 6*n + 4. Let o = -18 + 20. Let s(q) = -8*q**4 - q**3 + 12*q**2 + 7*q - 4. Let t(g) = o*s(g) + 3*x(g). Factor t(h).
4*(h - 1)*(h + 1)**2*(2*h - 1)
Let b(c) be the third derivative of -1/735*c**7 - 1/21*c**3 - 1/84*c**4 - 4*c**2 + 0*c + 1/105*c**5 + 1/210*c**6 + 0 - 1/1176*c**8. Find n such that b(n) = 0.
-1, 1
Let p be -44 + (-2 - 10/(-2)). Let n = p + 206/5. Determine b so that -n + 1/5*b**4 + 2/5*b - 2/5*b**3 + 0*b**2 = 0.
-1, 1
Let a = -1051/9 - -117. Find f such that -a*f**5 + 2/3*f**4 - 2/9 - 4/9*f**2 - 4/9*f**3 + 2/3*f = 0.
-1, 1
Let b(m) be the second derivative of -m**6/105 - m**5/70 + m**4/42 + m**3/21 + 2*m. Factor b(y).
-2*y*(y - 1)*(y + 1)**2/7
Let y(x) = -2*x - 2. Let z be y(0). Let s be (-2)/(-12) - 1/z. Determine q so that -s*q**2 + 0*q + 0 + 2/3*q**3 = 0.
0, 1
Suppose 0 = 5*z + 2*l - 7, 3*z - 5*l - 42 + 13 = 0. Let j(w) be the first derivative of 2/21*w**z + 1 + 0*w + 1/7*w**2. Factor j(s).
2*s*(s + 1)/7
Let c(r) be the first derivative of 3 - 1/30*r**5 - 1/2*r**2 + 1/4*r**4 - 2/3*r**3 + 0*r. Let g(s) be the second derivative of c(s). Find f such that g(f) = 0.
1, 2
Let u(t) be the first derivative of -5*t**3/6 + 5*t**2/2 - 4. Factor u(j).
-5*j*(j - 2)/2
Let n(u) be the second derivative of -u**5/90 + u**4/18 - 2*u**3/27 + 35*u. Determine g so that n(g) = 0.
0, 1, 2
Let l(b) = -2*b**5 + 12*b**4 + 2*b**3 - 12*b**2 - 14*b - 14. Let g(f) = f**4 - f**2 - f - 1. Let w(m) = -28*g(m) + 2*l(m). Find p such that w(p) = 0.
-1, 0, 1
Let q(g) = g**4 + 4*g**2 - 12*g - 3. Let d(a) = -a**4 - a**3 - 3*a**2 + 13*a + 4. Let c(x) = 5*d(x) + 6*q(x). Determine t, given that c(t) = 0.
1, 2
Suppose -63/5*u**2 - 24/5*u + 12/5 = 0. What is u?
-2/3, 2/7
Let v(z) be the first derivative of -z**4/16 + z**3/4 - z**2/4 + 3. Solve v(j) = 0.
0, 1, 2
Factor 7/3*a**3 + 23/3*a**2 + 20/3*a + 4/3.
(a + 1)*(a + 2)*(7*a + 2)/3
Suppose 3*h - 8*h = 0. Let x(w) be the first derivative of h*w + 1/9*w**2 - 2/27*w**3 + 2. Factor x(b).
-2*b*(b - 1)/9
Determine t so that -6*t**4 + 7*t**3 + 16*t + 13*t**3 + 2*t**4 - 32*t**2 = 0.
0, 1, 2
Let q(n) = -n**3 - 6*n. Let s(t) = t**2. Let h(k) = -3*q(k) - 15*s(k). Factor h(z).
3*z*(z - 3)*(z - 2)
Let u be (2/6)/((-6)/(-108)). Let x = -4 + u. Find t such that t**3 + 0*t - 4*t**3 - x*t**2 + 6*t - t**2 = 0.
-2, 0, 1
Let s be (6 + (-170)/35)*2/8. What is n in s*n**2 + 0 + 4/7*n - 6/7*n**4 - 8/7*n**3 = 0?
-1, 0, 2/3
Let a(t) = 4*t**2 + 0*t - 6*t**2 - 7*t**2 + 2*t + 10*t**3. Let u(h) = h**3. Let o(q) = -a(q) + 3*u(q). What is r in o(r) = 0?
0, 2/7, 1
Let r be (-16)/14 - (-6)/42. Let f = r - -3. Suppose 1/5*h**f - 1/5 + 0*h = 0. What is h?
-1, 1
Factor 4/9*t**4 - 2/9*t + 2/9*t**5 + 0 + 0*t**3 - 4/9*t**2.
2*t*(t - 1)*(t + 1)**3/9
Factor 0 - 1/2*h**2 + 0*h + 3/2*h**3.
h**2*(3*h - 1)/2
Let t(x) = -4*x**4 - 2*x**3 - 2*x**2 + 8*x + 6. Let o(l) = -5*l**4 - 2*l**3 - 2*l**2 + 9*l + 7. Let c(a) = 6*o(a) - 7*t(a). Factor c(p).
-2*p*(p - 1)**2*(p + 1)
Let y(l) be the second derivative of -2/15*l**3 + 0 - 1/30*l**4 - 1/5*l**2 + 3*l. Let y(s) = 0. Calculate s.
-1
Factor 90*o - 247*o**2 - 5*o**4 + 287*o**2 - 16*o**3 + 45 + 6*o**3.
-5*(o - 3)*(o + 1)**2*(o + 3)
Let r = 154 - 150. Solve 0*q**3 - 1/4*q + 1/2*q**r - 1/2*q**2 + 0 + 1/4*q**5 = 0.
-1, 0, 1
Let p = 261/518 + -1/259. Let -5/4*j**2 - j + p*j**3 + 3/4 = 0. Calculate j.
-1, 1/2, 3
Let b(i) be the first derivative of i**9/19656 - i**7/1820 - i**6/1170 + i**3 - 5. Let k(d) be the third derivative of b(d). Factor k(m).
2*m**2*(m - 2)*(m + 1)**2/13
Let s(j) be the third derivative of j**7/45 - j**6/20 - j**5/18 + j**4/4 - 2*j**3/9 - 15*j**2. Find u, given that s(u) = 0.
-1, 2/7, 1
Let a be (36/(-15))/(2/(-15)). Factor -p**2 + 3*p**2 + 12*p - a - 4*p**2.
-2*(p - 3)**2
Let i(f) be the third derivative of 1/420*f**7 - 1/80*f**6 + 0*f**3 + 0 - 1/48*f**4 + 3*f**2 + 1/40*f**5 + 0*f. Solve i(m) = 0.
0, 1
Let q be 48/(-36)*9/(-2). Let f(o) be the third derivative of 1/8*o**4 + 2*o**2 - 1/40*o**q + 1/2*o**3 + 0 - 1/20*o**5 + 0*o. Solve f(p) = 0 for p.
-1, 1
Let r(y) be the second derivative of -y**6/120 - y**5/20 - 7*y**3/6 + 3*y. Let j(c) be the second derivative of r(c). Suppose j(w) = 0. Calculate w.
-2, 0
Let c be 4/(-4 