Factor g(m).
-3*(m - 1)*(7*m - 2)
Suppose 21 = 8*t - 19. Let r(s) be the second derivative of -49/20*s**t + 4*s**2 + 35/6*s**4 + 0 - 2*s + 26/3*s**3. Factor r(c).
-(c - 2)*(7*c + 2)**2
Let x = 4 + -1. Suppose -3*d + x*k + 3 + 0 = 0, -4*d + 5*k + 5 = 0. Solve 1/3*w**5 + 0*w**2 + d*w**3 + 0*w + 0 - 1/3*w**4 = 0 for w.
0, 1
Let c be ((-11)/(-44) - (-42)/8) + -4. Factor c*h**2 - 1/2*h**4 + 0 - h + 0*h**3.
-h*(h - 1)**2*(h + 2)/2
Factor -18*k - 3 + 3*k + 2*k**3 + 3*k**2 + 12 + k**3.
3*(k - 1)**2*(k + 3)
Let u(d) = -d**3 - 16*d**2 + 14*d - 48. Let m be u(-17). Solve -1/7*j**4 + 1/7*j**2 + 0*j**m + 0*j + 0 = 0 for j.
-1, 0, 1
Let i(a) = a**3 - a**2 + 1. Let m(d) = 14*d**4 - 10*d**2 - 4*d - 4. Let x(l) = -4*i(l) - m(l). Factor x(p).
-2*p*(p - 1)*(p + 1)*(7*p + 2)
Let p(k) be the first derivative of k**6/1080 - k**4/72 + 5*k**3/3 + 4. Let h(s) be the third derivative of p(s). Determine b so that h(b) = 0.
-1, 1
Let p be -2*(-4 + 1 + 2). Let w be 16/(-6)*6/(-4). Solve 1/4*i + 3/4*i**3 - 5/4*i**w + 0 - i**5 + 5/4*i**p = 0.
-1, -1/4, 0, 1
Let p be (6 + (-234)/40)/((-1)/(-8)). Factor p*b + 2/5*b**3 - 6/5*b**2 - 2/5.
2*(b - 1)**3/5
Let w(t) be the second derivative of -t**6/30 + t**5/5 - 5*t**4/12 + t**3/3 - 18*t. Let w(z) = 0. What is z?
0, 1, 2
Let n be (2 + -1 - 2)*-3. Suppose -3 = -3*a, 4*m + n*a = -0*m + 15. Suppose 1 - 2*l**m - 2*l**2 - 4 + 0 + 2*l + 5 = 0. Calculate l.
-1, 1
Let p(l) be the second derivative of l**8/26880 + l**7/2520 + l**6/576 + l**5/240 - l**4/6 - 4*l. Let t(z) be the third derivative of p(z). Factor t(c).
(c + 1)**2*(c + 2)/4
Let s(a) be the first derivative of a**3/7 + 3*a**2/14 + 21. Factor s(j).
3*j*(j + 1)/7
Factor 0*x + 0 - 6/5*x**3 + 3/5*x**2 + 3/5*x**4.
3*x**2*(x - 1)**2/5
Determine t, given that 0*t**4 - 58*t**2 + 10*t**4 + t**4 - 46*t**3 - t**4 + 14*t**5 + 8 - 8*t = 0.
-1, 2/7, 2
Let d(g) = 2*g**2. Let y be d(1). Factor -12*k**3 - 22*k + 2*k**y + 25*k**2 + 4*k + 3.
-3*(k - 1)**2*(4*k - 1)
Let p = -15 + 17. Let d(b) be the first derivative of -2/3*b**3 + 2*b + 0*b**p + 2. Factor d(o).
-2*(o - 1)*(o + 1)
Let s(u) = -2*u**2 + 14*u - 7. Let j be s(6). What is w in 22*w**3 - 32*w**2 + 18*w - 12*w**4 - 5*w**3 - 4 + 2*w**j + 15*w**3 - 4*w**3 = 0?
1, 2
Let l be -1 + 2 + -4 + 5. Suppose 5 + d**l - 5 + 16 - 8*d = 0. Calculate d.
4
Suppose 37*h - 42*h + 30 = 0. Let n(p) be the third derivative of 0 - 1/8*p**4 - p**2 + 1/40*p**h + 0*p + 1/2*p**3 - 1/20*p**5. Factor n(o).
3*(o - 1)**2*(o + 1)
Suppose 16*l - l - 30 = 0. Factor -2/3*y**l - 4/3*y + 0.
-2*y*(y + 2)/3
Suppose -3*l + 45 = -0*l. Determine p, given that l*p**2 - 6*p**3 - 6*p - 6*p**3 - 36*p**4 + 39*p**4 = 0.
0, 1, 2
Factor 4/7 + 6/7*o + 2/7*o**2.
2*(o + 1)*(o + 2)/7
Let o(l) = l**3 + 6*l**2 - 9*l - 10. Let x be o(-7). Factor -1/4*q**x - 1/4*q**5 + 0 + 1/4*q**2 + 1/4*q**3 + 0*q.
-q**2*(q - 1)*(q + 1)**2/4
Let a be 14/(-35) + 128/270. Let c(s) be the first derivative of 0*s**2 + 0*s + a*s**3 - 1. Factor c(f).
2*f**2/9
Let f(n) be the first derivative of n**5/10 - n**4/2 + n**3 - n**2 - n + 1. Let l(r) be the first derivative of f(r). Factor l(k).
2*(k - 1)**3
Let u(q) = q**4 - q**2. Let h(p) = 12*p**5 + 54*p**4 + 48*p**3 - 6*p. Let j(k) = h(k) - 9*u(k). What is a in j(a) = 0?
-2, -1, 0, 1/4
Let l(d) be the third derivative of d**7/70 - 3*d**5/20 - d**4/4 + 22*d**2. Find g such that l(g) = 0.
-1, 0, 2
Let n(h) be the third derivative of h**9/22176 + h**8/27720 - h**7/6930 - h**5/60 - 2*h**2. Let s(g) be the third derivative of n(g). Factor s(j).
2*j*(3*j + 2)*(5*j - 2)/11
Let j = 1436/10995 + 2/733. Let b(l) be the first derivative of 2/9*l**3 + 0*l - 1/18*l**6 + 1/6*l**2 - j*l**5 - 2 + 0*l**4. Solve b(w) = 0.
-1, 0, 1
Let j be ((-8)/2)/4*-15. Let y = j + -13. What is a in 0 - 4/3*a**4 - 2/3*a**5 + 0*a**y + 0*a - 2/3*a**3 = 0?
-1, 0
Let u(y) be the first derivative of 3*y**5/5 + 3*y**4/4 - y**3 - 3*y**2/2 + 12. Solve u(j) = 0 for j.
-1, 0, 1
Let j = 7 + -4. Suppose -4*y + n = -11, j*y - 7 = n + n. Let -5*s**2 + 3 - 4 + y + 3*s = 0. Calculate s.
-2/5, 1
Let i(q) be the first derivative of 2/5*q - 2/5*q**2 + 2/15*q**3 + 3. Factor i(h).
2*(h - 1)**2/5
Suppose -3*n - 175 = 2*n. Let q be 4/n + 4/10. Factor q + 20/7*y**3 + 2/7*y**5 + 10/7*y**4 + 20/7*y**2 + 10/7*y.
2*(y + 1)**5/7
Suppose 0 = 2*w + 2 - 8. Suppose -2*p**3 + p**w + 3 + 3*p - 1 = 0. What is p?
-1, 2
Let h(s) be the third derivative of 1/4*s**4 + 1/20*s**6 - 1/140*s**7 + 0 - 2*s**2 - 1/4*s**3 + 0*s - 3/20*s**5. Determine i so that h(i) = 0.
1
Let v(y) = 3*y**3 + 12*y**2 + 48*y + 66. Let r(c) = 4*c**3 + 12*c**2 + 48*c + 67. Let a(q) = -2*r(q) + 3*v(q). Determine z so that a(z) = 0.
-4
Suppose 3 = l + 7, -2*i - 3*l = 8. Suppose 3*w - 4*w = -i. Factor -1/3 + 1/3*j**w + 0*j.
(j - 1)*(j + 1)/3
Let s = 22 + -18. Factor -2/9*w + 2/9*w**3 + 2/9*w**s - 2/9*w**2 + 0.
2*w*(w - 1)*(w + 1)**2/9
Let s be ((-12)/9)/((-2)/4). Solve -x**4 - 2*x**2 + 0*x + 1/3 + s*x**3 = 0 for x.
-1/3, 1
Let r(y) be the first derivative of y**6/30 - 3*y**5/20 + y**4/12 + y**3/2 - y**2 - 7*y - 3. Let f(o) be the first derivative of r(o). Solve f(v) = 0.
-1, 1, 2
Solve -9/2*k**4 + 0 - 3/2*k**3 + 9/2*k**2 + 3*k - 3/2*k**5 = 0.
-2, -1, 0, 1
Let c(m) = 7*m**4 - 4*m**3 - 4*m**2 - 2*m - 3. Let b(n) = -n**4 + n**2 + n. Let x(y) = 6*b(y) + c(y). Factor x(u).
(u - 3)*(u - 1)**2*(u + 1)
Determine k, given that 4/5*k**2 + 0*k - 2/5*k**4 - 2/5*k**3 + 0 = 0.
-2, 0, 1
Let w be 16/(-12)*4/(-8). Factor 2/3*r**3 - 2/3*r**2 + 0 - w*r**5 + 2/3*r**4 + 0*r.
-2*r**2*(r - 1)**2*(r + 1)/3
Let l be (4/24)/(-3 - (-56)/18). Factor -3/2*a**2 - 1/2*a + 1/2*a**3 + l.
(a - 3)*(a - 1)*(a + 1)/2
Let x be ((-32)/(-6) + -2)*-3. Let y be (-12)/10*x/3. Suppose 1/3*p**3 - 1/3*p - 1/3*p**2 + 0 + 1/3*p**y = 0. What is p?
-1, 0, 1
Let g(d) = d - 5. Let h be g(15). Determine m so that -6*m**5 - m**3 + 8*m**4 + h*m**5 + 5*m**3 = 0.
-1, 0
Let s(l) be the third derivative of 0 - 2*l**4 - 13/15*l**5 - 8/3*l**3 + 3*l**2 - 1/5*l**6 + 0*l - 2/105*l**7. Factor s(g).
-4*(g + 1)**2*(g + 2)**2
Let y(p) be the first derivative of 0*p**3 + 1 - 1/4*p**2 + 1/3*p + 1/24*p**4. Factor y(a).
(a - 1)**2*(a + 2)/6
Let s = 3 + -1. Let u = 14 + -8. Factor -w**4 + 8*w**2 + 5*w**4 + u*w**3 + w**5 - 4*w**s + w.
w*(w + 1)**4
Let 5*u**3 - 51*u**4 - 9*u**2 + 13*u**5 + 15*u**5 - 40*u**5 - 53*u**3 = 0. What is u?
-3, -1, -1/4, 0
Let q(v) = v**2 - 3*v + 4. Let h(x) = -5*x**2 + 15*x - 21. Let u(m) = 2*h(m) + 11*q(m). Factor u(z).
(z - 2)*(z - 1)
Suppose 3*x - 5 = -5*n + 4, 0 = 5*x - 3*n - 15. Determine c, given that -3/2*c**5 + 0 + 3/2*c**4 + 3/2*c**x - 3/2*c**2 + 0*c = 0.
-1, 0, 1
Let u(d) be the second derivative of -3*d**2 + 3/2*d**3 - 1/4*d**4 + 0 + 5*d. Factor u(v).
-3*(v - 2)*(v - 1)
Let l(f) be the first derivative of 5*f**4/4 - 55*f**3/3 + 175*f**2/2 - 125*f - 15. Suppose l(j) = 0. What is j?
1, 5
Factor 2/3*y + 1/3*y**2 + 0.
y*(y + 2)/3
Let r be (3/(-6))/(2/(-8)). Find k such that 2*k**2 - 5*k**2 - 2 + r*k**2 - 3*k = 0.
-2, -1
Let g(a) = -a + 1. Suppose -t + 3 = -1. Let v(j) = -j**5 + j**4 - 4*j + 4. Let q(b) = t*g(b) - v(b). Factor q(m).
m**4*(m - 1)
Suppose -5*t + n = -28, -5*n - 20 = -2*t + t. Suppose -t*i + 5 = -10. Let -4*a**2 + 2*a + a - a**3 + i*a**3 - a = 0. Calculate a.
0, 1
Let a(h) = -h - 2. Let j be a(8). Let w be ((-4)/20)/(4/j). Factor p + 1/2 + w*p**2.
(p + 1)**2/2
Let v be (6/4)/(1/10). Suppose -9*w = -4*w - v. What is y in 0 - y**2 - 1 + y**w + 1 = 0?
0, 1
Let k = 235 - 1194/5. Let y = 22/5 + k. Let 0*d + 3/5*d**2 + 0 - y*d**3 = 0. Calculate d.
0, 1
Find k, given that -2*k**2 + 5*k**3 - 61*k + 5*k**4 - 3*k**2 + k**5 + 55*k = 0.
-3, -2, -1, 0, 1
Suppose -q - 4*q + 10 = 0. Suppose q*o - 12 = -2*o. Let 14/5*g**o + 32/5*g**2 + 4/5 + 22/5*g = 0. What is g?
-1, -2/7
Factor -2*n - 3*n**4 + 5*n + 5*n**2 - 14*n**2 + 13*n**3 - 4*n**3.
-3*n*(n - 1)**3
Let j(s) = -15*s**3 + 17*s**2 - 15*s. Let m(w) = -7*w**3 + 8*w**2 - 7*w. Let u(z) = 6*j(z) - 13*m(z). Factor u(b).
b*(b - 1)**2
Let a(i) = 4*i**4 + 31*i**3 + 67*i**2 + 49*i + 9. Let l(j) = 12*j**4 + 94*j**3 + 201*j**2 + 146*j + 27. Let t(q) = -21*a(q) + 6*l(q). Let t(y) = 0. Calculate y.
-3, -1, -1/4
Let m = -989/3 - -331. Let y = -11 + 15. Suppose m*p - 2/3*p**y + 0*p**2 - 4/3*p**3 + 2/3 = 0. Calculate p.
-1, 1
Suppose -x - 5*p = -10, -5*p + 2*p + 9 = 0. Let o = -