t g(m) = m**2 + m. Let b(c) = -2*c**2 + 2*c. Let w(t) = -b(t) - 4*g(t). Factor w(a).
-2*a*(a + 3)
Let y(m) be the second derivative of -m**7/126 + m**6/90 + m**5/60 - m**4/36 + 5*m. Suppose y(p) = 0. What is p?
-1, 0, 1
Let f(q) be the second derivative of -1/4*q**4 - 9/2*q**2 + 0 - 2*q**3 + q. Factor f(g).
-3*(g + 1)*(g + 3)
Let v be ((-9)/27)/((-2)/18). Let t(i) be the first derivative of -3/5*i**5 + 0*i**2 - v + 1/3*i**6 + 0*i**3 + 1/4*i**4 + 0*i. Determine o so that t(o) = 0.
0, 1/2, 1
Suppose 0 = -5*v - g + 15, 4*v - 2*v - 2*g - 6 = 0. Factor 2*p**5 + 0 - v*p**3 - 2*p**4 + 4*p**2 - 2 + 2*p - p**3.
2*(p - 1)**3*(p + 1)**2
Let h be (-2)/2*2*(-291)/970. Find i, given that 3/5*i**2 - 3/5 - 3/5*i**3 + h*i = 0.
-1, 1
Let z(s) be the third derivative of -s**5/180 - s**4/72 - 2*s**2. Determine h so that z(h) = 0.
-1, 0
Let b(t) = -11*t**3 + t**2 - 5*t - 5. Let d(f) = -5*f**3 + f**2 - 2*f - 2. Let r(i) = 2*b(i) - 5*d(i). Factor r(v).
3*v**2*(v - 1)
Suppose 0*r + 4*r = 2*r. Factor 4/7*w**3 - 6/7*w**2 + r*w + 2/7.
2*(w - 1)**2*(2*w + 1)/7
Let f(m) = -m. Let s be f(-4). Let k = -4 + s. Factor 2 + k*i - 5*i**2 + 3*i + 0.
-(i - 1)*(5*i + 2)
Let o = 943 - 3759/4. Let -3*f + o*f**2 + 1/4*f**4 - 3/2*f**3 + 1 = 0. Calculate f.
1, 2
Let g(p) be the third derivative of -3/10*p**5 - 11/105*p**7 + 0*p + 0*p**3 + 0 + 1/6*p**4 - p**2 + 1/56*p**8 + 1/4*p**6. Factor g(l).
2*l*(l - 1)**3*(3*l - 2)
Factor -3/7*a + 4/7*a**2 - 18/7 + 1/7*a**3.
(a - 2)*(a + 3)**2/7
Suppose 12 = 5*v - 2*v. Let q(h) = 2*h - 5. Let a be q(v). Factor 2*t**4 + 10*t**5 - 4*t**3 + 2*t**a - 8*t**5 - 2*t**2.
2*t**2*(t - 1)*(t + 1)**2
Let q(d) be the second derivative of -d**4/60 + d**3/6 - 3*d**2/5 - 10*d. Factor q(x).
-(x - 3)*(x - 2)/5
Let u = -38 + 41. Let -2/7*g - 2/7*g**5 + 0*g**4 + 0*g**2 + 4/7*g**u + 0 = 0. What is g?
-1, 0, 1
Let w(q) be the third derivative of q**9/20160 - q**8/3360 - q**7/1680 + q**6/120 + q**5/20 + 3*q**2. Let b(t) be the third derivative of w(t). Factor b(z).
3*(z - 2)*(z - 1)*(z + 1)
Factor 9*x - 9*x + 7*x**3 - 4*x**3 - 18*x**2.
3*x**2*(x - 6)
Determine a so that 0 - 2/3*a - 2/9*a**2 = 0.
-3, 0
Factor -2/5*u**2 + 4/5*u**3 + 0*u - 2/5*u**4 + 0.
-2*u**2*(u - 1)**2/5
Let c = 8 + -38/5. Let a be (-2 + 2)/(-2 - 0). Solve -c*b**3 + 0*b + a - 1/5*b**2 - 1/5*b**4 = 0.
-1, 0
Let y be (-1)/(-14) - (-18)/42. Let k(g) be the first derivative of 2 - 2*g + g**2 + 2/3*g**3 - y*g**4. Factor k(h).
-2*(h - 1)**2*(h + 1)
Let h(l) = l**3 - 3*l**2 + 2*l + 3. Let r be h(3). Let i be 0*3/r + 2. Factor 0*f**2 + f**2 + f**4 + 2*f**3 - i*f - 2*f**2.
f*(f - 1)*(f + 1)*(f + 2)
Let f be (-180)/(-351) - (-5)/((-65)/(-2)). Let v(p) be the first derivative of -4*p - p**2 - 2 + f*p**3. Factor v(j).
2*(j - 2)*(j + 1)
Suppose -2/7*b**2 + 6/7*b - 4/7 = 0. What is b?
1, 2
Let p(k) be the second derivative of -k**10/30240 - k**9/7560 - k**8/6720 + k**4/4 + 3*k. Let n(o) be the third derivative of p(o). Factor n(b).
-b**3*(b + 1)**2
Let h(u) be the second derivative of 0*u**2 - 1/42*u**7 - 1/6*u**3 + 1/10*u**5 + 0*u**6 + 0 - 3*u + 0*u**4. Factor h(j).
-j*(j - 1)**2*(j + 1)**2
Let d(t) be the first derivative of -t**7/1960 - t**3/3 + 4. Let k(y) be the third derivative of d(y). Suppose k(i) = 0. What is i?
0
Let b(d) = -3*d**2 + 7*d - 6. Let s(z) = 3*z**2 - 6*z + 6. Let c(k) = -3*b(k) - 2*s(k). Find v, given that c(v) = 0.
1, 2
Let z(f) = 18*f**2 + 5*f - 6. Let o be 5*-1*12/(-10). Let v(l) = -2 + l + 0 + o*l**2 + l. Let y(h) = 7*v(h) - 2*z(h). Let y(k) = 0. What is k?
-1, 1/3
Let f(h) = -h. Let t(g) = -5*g**2 - 7*g. Let p(s) = 2*f(s) - t(s). Solve p(w) = 0.
-1, 0
Let r be (22 + 2)/(3/4). Suppose -4*t - r = -f, 3*t - t - 38 = -4*f. Factor -2 - 2*c - 2*c**2 - 8*c - f*c**2 + 6.
-2*(c + 1)*(7*c - 2)
Factor 4/3*i**2 + 4/3*i - 4/3 - 4/3*i**3.
-4*(i - 1)**2*(i + 1)/3
Let u = -28 + 169/6. Let l(a) be the second derivative of 0 + 1/15*a**6 - 3*a + 0*a**2 + u*a**3 + 0*a**5 - 1/6*a**4 - 1/42*a**7. Suppose l(j) = 0. What is j?
-1, 0, 1
Let q be (-6 - (-6 - 5)) + -3. Factor 0*y**q - 1/3*y**3 + 0 + 1/3*y.
-y*(y - 1)*(y + 1)/3
Let f be (-1)/((-12)/9) - (-46)/24. Find z such that 2/3*z + 0 + f*z**2 = 0.
-1/4, 0
Let k(v) be the third derivative of -v**8/504 - v**7/630 - 2*v**2. Find m, given that k(m) = 0.
-1/2, 0
Factor 4 + 4*c**2 + 22/3*c + 2/3*c**3.
2*(c + 1)*(c + 2)*(c + 3)/3
Let z = 386 + -382. Solve 2/5*d**z - 2/5*d**2 + 2/5*d + 0 - 2/5*d**3 = 0 for d.
-1, 0, 1
Let h(t) = 2*t + 5. Let q be h(0). Let i(y) be the third derivative of 1/6*y**3 + 0*y + 0 + 2*y**2 + 27/80*y**q - 3/8*y**4. Factor i(b).
(9*b - 2)**2/4
Let n(g) be the second derivative of -g**6/60 + 3*g**5/10 - 23*g**4/12 + 5*g**3 - 25*g**2/4 - 43*g + 2. Determine h so that n(h) = 0.
1, 5
Solve -9*j**5 - 2*j**3 + 11*j**5 + 4*j**3 + 4*j**4 = 0.
-1, 0
Let d(k) = -k**5 - 4*k**3 + 6*k**2 + 5*k. Let z be (0 - 11)/(-1 - -2). Let p(n) = -2*n**5 - 7*n**3 + 11*n**2 + 9*n. Let j(f) = z*d(f) + 6*p(f). Factor j(o).
-o*(o - 1)**2*(o + 1)**2
Let t be (6/24)/((-2)/(-4)). Factor -t*w**3 - 1/2*w + 0 - w**2.
-w*(w + 1)**2/2
Let n(f) be the third derivative of -f**6/780 + f**5/195 - f**4/156 - 8*f**2. Factor n(y).
-2*y*(y - 1)**2/13
Factor 4*f + 12 - 20/3*f**2 + 4/3*f**3.
4*(f - 3)**2*(f + 1)/3
Suppose 3*o - 3 = -o + 5*f, 14 = 5*o + 4*f. Let a(p) be the first derivative of 2/7*p**o - 2 + 2/7*p**3 - 2/7*p. Solve a(r) = 0 for r.
-1, 1/3
Let x(h) = 5*h**4 + 3*h**3 - 12*h**2 + 8*h + 4. Let l(i) = 10*i**4 + 6*i**3 - 24*i**2 + 17*i + 9. Let m(j) = -4*l(j) + 9*x(j). Let m(s) = 0. Calculate s.
-2, 0, 2/5, 1
Let n(g) be the third derivative of -3*g**2 + 1/12*g**3 - 1/840*g**7 - 5/96*g**4 + 0 + 0*g + 1/80*g**5 + 1/480*g**6. Suppose n(h) = 0. Calculate h.
-2, 1
Let p be ((-6)/(-8))/((-1)/(-4)). Suppose -2*t - 8 = -5*z, p*z - 3*t + 1 = 2*z. Suppose z*g**2 + 2 + 2 - 6*g + 0*g = 0. Calculate g.
1, 2
Let l = 7 - 10. Let z(n) = 9*n**2 + n. Let f(o) = -3*o**2. Let i(u) = l*z(u) - 8*f(u). Factor i(w).
-3*w*(w + 1)
Let n = 233/20 + -58/5. Let t(i) be the third derivative of -3/8*i**4 - n*i**5 + 0*i**3 + 0 + 3*i**2 + 0*i. Find v, given that t(v) = 0.
-3, 0
Let j be -1*5/(10/(-8)). Suppose 74*o**2 + 4*o**3 - 4*o - 2 - 74*o**2 + 2*o**j = 0. Calculate o.
-1, 1
Find j, given that 4*j**2 - 2/7*j**5 - 2/7*j**3 - 8/7*j**4 + 40/7*j + 16/7 = 0.
-2, -1, 2
Determine j, given that 2*j**4 + 5*j**5 + 23*j**3 - 33*j**3 - 2*j**4 + 5*j = 0.
-1, 0, 1
Let j(p) be the second derivative of p**7/63 + 2*p**6/45 - p**4/9 - p**3/9 - 7*p. Factor j(s).
2*s*(s - 1)*(s + 1)**3/3
Let o(l) = -4*l**4 - 5*l**3 - 2*l**2 + 42*l - 17. Let b(x) = 3*x**4 + 3*x**3 + x**2 - 28*x + 11. Let n(d) = -7*b(d) - 5*o(d). Let n(z) = 0. What is z?
-2, 1, 4
Let f(a) = -a**4 + a**3 + a**2 + 1. Let z = -1 - 5. Let q(s) = 4*s**4 - 2*s**3 - 6*s**2 - 4*s - 4. Let l(j) = z*f(j) - q(j). Solve l(v) = 0.
-1, 1
Let l(n) be the first derivative of -n**5/110 + n**4/66 - 2*n - 1. Let x(c) be the first derivative of l(c). Find m such that x(m) = 0.
0, 1
Let m(r) = r**2 - 4*r - 42. Let p be m(-5). Find q, given that -1/5*q**p - 2/5*q**2 + 0 + 0*q = 0.
-2, 0
Suppose 3*o - 4*s + 6*s + 3 = 0, 6 = o + 3*s. Let q be 3 - 1 - (3 + o). Solve g**q + 1 - 3 + 2 + g**3 = 0 for g.
-1, 0
Let d be 2/3 + 332/60 + -6. Let p(z) be the first derivative of 1/10*z**4 + 0*z**3 - d*z**2 - 2 + 0*z. Find w such that p(w) = 0.
-1, 0, 1
Determine r, given that -2 - 1/4*r**2 - 3/2*r = 0.
-4, -2
Let q(p) be the third derivative of 0*p**3 + 0 - 1/180*p**5 + p**2 + 0*p - 1/36*p**4. Factor q(y).
-y*(y + 2)/3
Let m = -701/4 + 176. Solve -7/4*s**4 - m*s**2 + 3*s**3 + 0 - 1/2*s = 0 for s.
-2/7, 0, 1
Let d be (-5)/(-150)*(-6)/(-4). Let n = 23/60 - d. Factor 0*j**2 - 1/3*j**3 + n*j + 0.
-j*(j - 1)*(j + 1)/3
Let s(j) be the first derivative of j**6/360 - j**5/30 + j**4/6 + 2*j**3/3 + 1. Let z(k) be the third derivative of s(k). Factor z(y).
(y - 2)**2
Let n(z) be the first derivative of -4*z**3/21 - 3*z**2/7 - 2*z/7 + 4. Factor n(w).
-2*(w + 1)*(2*w + 1)/7
Factor -4*f**4 - 202*f - 172*f**2 + 1082*f - 71*f**3 - 9*f**3 - 140*f**2 - 484.
-4*(f - 1)**2*(f + 11)**2
Let s be (-26)/13 + (-57)/(-26). Let f = s - -27/130. Factor 4/5 + f*y**2 + 6/5*y.
2*(y + 1)*(y + 2)/5
Let q(z) be the first derivative of -z**4/16 + z**3/12 + z**2/8 + 9*z + 4. Let y(v) be the first derivative of q(v). Factor y(m).
-(m