Factor v**m - 2*v**w + 4*v**3 - 3*v**3.
-v**3*(v - 1)
Let n(g) = g**2 - 7*g + 3. Let b(c) = -8*c**2 + 62*c - 28. Let s(o) = -6*b(o) - 52*n(o). Factor s(v).
-4*(v - 1)*(v + 3)
Let u(y) = -y**4 + 0 + 4*y**5 - 2 + 3*y**4. Let j(l) = -5*l**5 - l**4 + l**3 + 3. Let k(m) = -2*j(m) - 3*u(m). Factor k(w).
-2*w**3*(w + 1)**2
Suppose -6*p + 16 = -p + 4*r, 5*p - 4 = -r. Let y(i) be the first derivative of 8/3*i**3 + i**2 + p*i + 3/2*i**4 - 1. Find b, given that y(b) = 0.
-1, -1/3, 0
Let m(d) = 2*d**4 + 4*d**3 - 12*d**2 - 16*d - 2. Let q(c) = c**2 + c. Let x(o) = -m(o) - 12*q(o). Solve x(g) = 0.
-1, 1
Let s be 2 + -4 + (-8)/(-2). Let z(v) be the third derivative of 0 - 1/24*v**4 + 1/30*v**5 + 0*v + 0*v**3 - v**s - 1/120*v**6. What is g in z(g) = 0?
0, 1
Suppose -9*i + 12 = -15. Let k(m) be the first derivative of -1 - 6*m**2 - 18*m - 2/3*m**i. Factor k(d).
-2*(d + 3)**2
Let m(t) = -t**3 + 12*t**2 + 3*t - 5. Let r be m(12). Solve 3*i**2 - 4 - 15 + 15*i + r = 0 for i.
-4, -1
Find j, given that 2/5 - 1/5*j**3 + 4/5*j**2 - j = 0.
1, 2
Factor -1/5 + 1/5*t**3 - 3/5*t**2 + 3/5*t.
(t - 1)**3/5
Let o(t) = -9*t**2 + 9. Let b(r) = -6*r**2 + 6. Let y(f) = 7*b(f) - 5*o(f). Determine x so that y(x) = 0.
-1, 1
Let j(w) = -w**2 + 6*w. Let a be j(5). Suppose 0 = a*g + 1 - 16. Determine q, given that g*q - 23*q**4 - q + 27*q**3 + 7*q**5 - 6*q**2 - 7*q**2 = 0.
0, 2/7, 1
Let j(y) be the third derivative of -y**6/18 - y**5/45 + 5*y**4/18 + 2*y**3/9 + 13*y**2. Find l, given that j(l) = 0.
-1, -1/5, 1
Let q(o) be the third derivative of 3*o**2 + 0*o**5 + 1/3*o**3 - 1/30*o**6 - 1/105*o**7 + 0 + 0*o + 1/6*o**4. Factor q(t).
-2*(t - 1)*(t + 1)**3
Let m = -21 + 24. Let 6*o**m - 3*o**3 + 12 + 24*o + 15*o**2 + 0*o**3 = 0. What is o?
-2, -1
Let u = 103/3 - 34. Let t(p) be the first derivative of -1/9*p**6 + 3 + 0*p**4 + 4/15*p**5 - 4/9*p**3 + u*p**2 + 0*p. Suppose t(i) = 0. What is i?
-1, 0, 1
Determine x, given that 3*x**5 + 0*x**5 + 12*x**2 + 15*x**4 - 13*x**3 + 37*x**3 = 0.
-2, -1, 0
Let a = 63 - 61. Let 1/3*z**a + 1/3 + 2/3*z = 0. What is z?
-1
Let l(z) be the third derivative of z**6/60 + z**5/15 - 7*z**4/12 + 4*z**3/3 - 17*z**2. Determine j, given that l(j) = 0.
-4, 1
Let m(i) be the first derivative of 5*i**9/4536 + i**8/630 - i**7/1260 + i**3 + 4. Let o(d) be the third derivative of m(d). Solve o(y) = 0.
-1, 0, 1/5
What is d in -8/3*d**3 + 4/3 - 4*d**4 + 4*d + 8/3*d**2 - 4/3*d**5 = 0?
-1, 1
Let c(w) be the first derivative of 3*w**5/5 + 3*w**4 + 5*w**3 + 3*w**2 - 12. Factor c(z).
3*z*(z + 1)**2*(z + 2)
Let a(s) be the second derivative of -s**3 + 0 + 1/10*s**5 + 7*s + 1/3*s**4 + 0*s**2. Factor a(b).
2*b*(b - 1)*(b + 3)
Let j(q) = -q**2 + 35*q - 11. Let n(x) = x**3 + 2*x**2 + 2*x. Let l be n(-2). Let w(u) = -12*u + 4. Let o(s) = l*j(s) - 11*w(s). Factor o(y).
4*y*(y - 2)
Let k = -18 + 21. Let s(l) be the first derivative of 1/20*l**5 + 5/16*l**4 + 1/2*l + 7/8*l**2 + 3/4*l**k - 1. Solve s(j) = 0.
-2, -1
Let a = 6 + -2. Factor 3*m**4 + 2*m**3 - 3*m**3 - m**5 - m**a - 4*m**4.
-m**3*(m + 1)**2
Let p be -15 - -15 - (-50)/2. Let z = -23 + p. Factor 0 - 1/3*t + 0*t**z + 1/3*t**3.
t*(t - 1)*(t + 1)/3
Let j(m) = m**2. Let t(z) = 3*z**3 - 35*z**2. Let v(h) = -2*j(h) - t(h). Solve v(f) = 0 for f.
0, 11
Let f be (16/(-7) - -2)/((-3)/7). Solve 0 + f*c - 2/3*c**2 = 0 for c.
0, 1
Suppose -4/17*j**2 - 14/17*j**3 + 0 + 0*j + 14/17*j**5 + 4/17*j**4 = 0. What is j?
-1, -2/7, 0, 1
Let t(z) be the first derivative of 2/3*z**4 + 0*z + 0*z**2 + 4/15*z**5 + 2 + 4/9*z**3. Find g, given that t(g) = 0.
-1, 0
Let i be -4*(-2)/12*3. Determine m, given that 0*m**3 + 2*m**3 - 7*m**i - 2 + 0*m + 6*m + m**2 = 0.
1
Let z be 2/7 + 437/161. Let q(v) be the first derivative of -2*v**5 + 0*v + 8/3*v**3 - z*v**4 - 1/3*v**6 + 2 + 8*v**2. Factor q(c).
-2*c*(c - 1)*(c + 2)**3
Suppose 4*y - 52 = -4*w, -5*w - y = -0*w - 61. Let h be 27/w - 1/4. Let -5*p + 4*p - 4*p**2 + 3*p**h = 0. Calculate p.
-1, 0
Let i(k) = 2*k**3 + 6*k**2 + 6*k + 2. Let v = 21 - 19. Let t(a) = 5*a**3 + 17*a**2 + 19*a + 7. Let d(l) = v*t(l) - 7*i(l). Factor d(n).
-4*n*(n + 1)**2
Let w = 472/5 + -94. Let t(o) be the first derivative of w*o**5 + 0*o - 5/6*o**6 - 2 + 15/4*o**4 - 2*o**2 + 4/3*o**3. Let t(p) = 0. Calculate p.
-1, 0, 2/5, 2
Let u(h) = h**3 - h**2 + h. Suppose -2*s - 1 = 5. Let y(l) = 4*l**3 - 4*l**2 + 6*l. Let q(j) = s*y(j) + 14*u(j). Factor q(b).
2*b*(b - 2)*(b + 1)
Let h(w) be the third derivative of 0 + 3*w**2 - 1/420*w**6 + 0*w**5 + 0*w + 0*w**4 + 0*w**3. Factor h(j).
-2*j**3/7
Let l(i) be the first derivative of -4 - 9/4*i - 1/12*i**3 + 3/4*i**2. Solve l(s) = 0 for s.
3
Let m(a) be the second derivative of a**7/6300 - a**5/300 - a**4/12 + 7*a. Let j(d) be the third derivative of m(d). Determine i, given that j(i) = 0.
-1, 1
Let b(m) be the second derivative of -5*m**7/42 + m**5/2 - 5*m**3/6 - 9*m. Suppose b(g) = 0. Calculate g.
-1, 0, 1
Suppose 16 = 4*o - 5*k, 0*o + k - 4 = -o. Factor 2/7*b**o - 2/7*b + 0 + 2/7*b**3 - 2/7*b**2.
2*b*(b - 1)*(b + 1)**2/7
Suppose 3*b + 9 = -2*k + 5, -4*k - 26 = -3*b. Factor 1/2*z + 0 - 1/2*z**b.
-z*(z - 1)/2
Let o be 72/15*2/3. Factor 2/5*g**2 - 7/5*g**5 - 11/5*g**3 + o*g**4 + 0 + 0*g.
-g**2*(g - 1)**2*(7*g - 2)/5
Let y(a) = -a + 9. Let s be y(7). Suppose -s*z - z = -15. Solve 1/2*l**z + 2*l**2 + 0 + 3*l**3 + 1/2*l + 2*l**4 = 0 for l.
-1, 0
Let i(w) be the first derivative of 3*w**5/5 - w**3 - 13. Solve i(f) = 0.
-1, 0, 1
Let j(p) be the third derivative of -3*p**5/20 + p**4/8 + p**3 + 3*p**2. Factor j(t).
-3*(t - 1)*(3*t + 2)
Let d(j) be the third derivative of j**5/30 - j**4/3 + 4*j**3/3 - 3*j**2. Factor d(v).
2*(v - 2)**2
Find h, given that 1/3*h**3 - 1/3*h - 2/3 + 2/3*h**2 = 0.
-2, -1, 1
Factor -2*o**2 - 2*o**5 + o**4 + 0*o**2 + 2*o**3 - 3*o**4 + 4*o**2.
-2*o**2*(o - 1)*(o + 1)**2
Find w, given that -6*w**3 - w**4 - 6*w**4 + 4 + 5*w + 5*w**4 + w - 2*w**2 = 0.
-2, -1, 1
Let k(w) be the second derivative of w**5/10 - 2*w**4/3 + w**3 + 18*w. Solve k(m) = 0 for m.
0, 1, 3
Let x(g) = -g**5 - 11*g**4 + 11*g**3 + g**2 - 7*g + 1. Let f(t) = -4*t**5 - 34*t**4 + 34*t**3 + 2*t**2 - 20*t + 2. Let q(v) = 6*f(v) - 20*x(v). Factor q(l).
-4*(l - 2)*(l - 1)**3*(l + 1)
Let k(z) be the first derivative of -1/12*z**3 - 8 + 0*z**2 + 0*z. Determine w, given that k(w) = 0.
0
Let f(u) = -9*u**4 + 13*u**3 - 9*u**2. Let i(l) = -44*l**4 + 64*l**3 - 44*l**2. Let k(g) = -24*f(g) + 5*i(g). Let k(c) = 0. Calculate c.
0, 1
Factor -18/17*d - 10/17*d**3 + 4/17 + 24/17*d**2.
-2*(d - 1)**2*(5*d - 2)/17
Let i = 223 - 13379/60. Let r(l) be the third derivative of -1/12*l**4 + 0*l - 2*l**2 + 0 - 1/30*l**5 + i*l**6 + 1/3*l**3. Determine z, given that r(z) = 0.
-1, 1
Let f(k) be the second derivative of -k**4/102 - 23*k. Suppose f(q) = 0. What is q?
0
Factor 0*p**2 + 3/7 - 6/7*p**3 + 6/7*p - 3/7*p**4.
-3*(p - 1)*(p + 1)**3/7
Determine w, given that -4*w + 5/2*w**2 + 2 - 1/2*w**3 = 0.
1, 2
Let s(b) be the first derivative of -2 + 0*b**3 + 0*b**2 + 3/4*b**4 + 0*b. Factor s(r).
3*r**3
Determine f so that -4/5*f - 2/5*f**2 + 2/5*f**3 + 0 = 0.
-1, 0, 2
Let h(g) be the first derivative of -2/9*g**3 - 7 + 0*g**2 + 0*g. Find j such that h(j) = 0.
0
Factor 0 - 4/3*c**2 - 2/3*c**3 + 0*c.
-2*c**2*(c + 2)/3
Let m(w) = -w**2 + 4*w + 4. Let d be m(5). Let h be (d/2)/((-7)/42). Suppose 250*n**h - 2 - 15*n**2 - 49*n**2 - 52*n**2 - 34*n**2 + 30*n = 0. What is n?
1/5
Let h(k) be the third derivative of 0*k - 1/60*k**6 + 0*k**3 - k**2 + 0*k**4 + 1/30*k**5 + 0. Factor h(j).
-2*j**2*(j - 1)
Let i(x) be the third derivative of -x**7/420 + x**6/120 + 7*x**5/120 - 5*x**4/12 + x**3 - 78*x**2. Let i(g) = 0. Calculate g.
-3, 1, 2
Let n(h) = -8*h**3 + 48*h**2 - 79*h + 25. Let a(u) = 4*u**3 - 24*u**2 + 39*u - 13. Let l(y) = -7*a(y) - 3*n(y). Factor l(w).
-4*(w - 4)*(w - 1)**2
Let q(p) be the first derivative of 4/21*p**3 - 1/14*p**4 - 1/7*p**2 + 0*p - 1. Factor q(a).
-2*a*(a - 1)**2/7
Factor 15*n - 5 - 27 - 4*n**3 - 27*n**2 - 63*n + 3*n**2.
-4*(n + 2)**3
What is g in 82*g**2 - 2*g**3 + 5 - 84*g**2 + 2*g - 5 + 2*g**4 = 0?
-1, 0, 1
Let h(b) be the first derivative of -2*b**5/55 + 2*b**3/11 - 2*b**2/11 + 19. Let h(m) = 0. Calculate m.
-2, 0, 1
Let d(h) be the third derivative of -h**6/1260 + h**5/420 - h**3/6 + h**2. Let x(k) be the first derivative of d(k). Determin