3 + 366*x**2 - 9*x - 16. Let h(f) = -25*a(f) - 6*k(f). Factor h(t).
-5*(4*t + 1)**2*(13*t - 2)
Let x(w) = -w**2 + 1 + w**2 + w**2. Let l be x(1). Suppose 1/2*m**3 + 3*m**l + 4 + 6*m = 0. What is m?
-2
Let x(n) be the first derivative of 70*n**6 + 365*n**5 + 1135*n**4/2 + 620*n**3/3 + 20*n**2 - 47. Suppose x(u) = 0. Calculate u.
-2, -1/4, -2/21, 0
Let q(p) = -p**3 + 4*p**2 + 7*p + 2. Let o be q(5). Suppose -9*g + 7*g = -o. Find v such that g - 14 - 1 - 6*v + 3*v**2 = 0.
-1, 3
Let r(z) = -z**2 - 6*z - 16. Let l(q) = -5*q**2 - 29*q - 80. Let s(n) = -n**2 - 7*n + 2. Let a be s(-8). Let b(j) = a*l(j) + 33*r(j). Factor b(k).
-3*(k + 4)**2
Let a(q) be the third derivative of -q**6/240 - q**5/120 + 8*q**2. Find g such that a(g) = 0.
-1, 0
Suppose 0 = 3*y + 9, y - 27 = -3*h + 5*y. Suppose 0 = -h*j - 8 + 23. Solve n**j - n + 1/4 - 1/4*n**2 = 0.
-1, 1/4, 1
Let d be (-2)/(0 + -2) + -2. Let r(l) = -l - 1. Let h(s) = 2*s**2 + 4*s + 2. Let n(i) = d*h(i) - 4*r(i). Factor n(j).
-2*(j - 1)*(j + 1)
Let q(f) = -2*f - 2. Let n be q(-2). Let l be n/(-11) + (-2)/(-11). Find j such that 0*j + l + 2/5*j**2 = 0.
0
Let r = -71 + 73. Let q(b) be the first derivative of -3 + 3/7*b**r - 2/21*b**3 - 4/7*b. Factor q(o).
-2*(o - 2)*(o - 1)/7
Factor 10*t + 6*t**3 - 4*t**2 + t**5 - t - 8*t - 4*t**4.
t*(t - 1)**4
Find v, given that 41*v - 65*v**2 + 14*v**2 + 11*v**2 + 4*v**3 + 59*v = 0.
0, 5
Let g = -158/9 + 2215/126. Let l(h) be the second derivative of -g*h**4 + 1/147*h**7 + 0*h**3 + 2*h + 0*h**2 + 3/70*h**5 + 0 - 1/35*h**6. Factor l(j).
2*j**2*(j - 1)**3/7
Let i(s) = 9*s**2 + 3*s - 6. Let j(f) = -17*f**2 - 6*f + 11. Let n be (0 + 6)/(-3 + 1). Let k(c) = n*j(c) - 5*i(c). Find l such that k(l) = 0.
-1, 1/2
Suppose -r + 10 = 2*k, -r + 3*k - 8 = r. Suppose -r*a = -1 - 9. Solve -13*x**5 + 14*x**4 - 31*x**3 + 10*x**4 - 4*x - 24*x**2 + 48*x**a = 0 for x.
-1, -2/5, -2/7, 0, 1
Let q = -23 - -25. Determine r so that r**3 - 5*r**4 + 4*r**4 - 23*r**2 + 23*r**q = 0.
0, 1
Let z(c) = -7*c - 26. Let o be z(-4). Let 3/2*w**4 - 1/2*w**5 + 3/2*w - w**o - w**3 - 1/2 = 0. What is w?
-1, 1
Let r(h) be the second derivative of -h**5/4 - 5*h**4/12 + 12*h. Determine b, given that r(b) = 0.
-1, 0
Let x = 79 + -75. Let v(s) be the second derivative of 3/2*s**2 + 7/15*s**5 - 3*s + 7/3*s**3 + 61/36*s**x + 2/45*s**6 + 0. Let v(p) = 0. Calculate p.
-3, -1/2
Let x(c) = 5*c**2 + 3*c + 4. Let f(r) = 6*r**2 + 4*r + 5. Let w(o) = 4*f(o) - 5*x(o). Determine q, given that w(q) = 0.
0, 1
Let m(n) be the third derivative of 1/420*n**7 - 1/6*n**3 + 1/80*n**6 + 1/120*n**5 - 3*n**2 - 1/16*n**4 + 0*n + 0. Factor m(p).
(p - 1)*(p + 1)**2*(p + 2)/2
Let n = -12 - -17. Let w(h) be the second derivative of 0 - 1/21*h**7 + 0*h**2 + 2*h + 0*h**3 + 1/10*h**n - 1/6*h**4 + 1/15*h**6. Factor w(o).
-2*o**2*(o - 1)**2*(o + 1)
Let z(d) be the second derivative of d**6/6 - d**5/4 - 5*d**4/12 + 5*d**3/6 + 4*d. Factor z(t).
5*t*(t - 1)**2*(t + 1)
Let x(q) be the second derivative of 0 + 1/2*q**2 - 1/30*q**5 - 3*q - 1/9*q**3 - 1/12*q**4 - 1/180*q**6. Let r(p) be the first derivative of x(p). Factor r(s).
-2*(s + 1)**3/3
Suppose 4 = -4*x + 5*x. Factor 4*r + 6*r**3 - r**x + 1 - 2 - 2*r**3 - 6*r**2.
-(r - 1)**4
Let t = -31 + 38. Let r = t + -7. Suppose -3/2*q**2 + 0*q + 0*q**3 + 3/2*q**4 + r = 0. What is q?
-1, 0, 1
Let l(d) = -d**5 + d**3 - d - 1. Let a(q) = -10*q**5 - 2*q**4 + 8*q**3 - 9*q - 9. Let x(z) = -2*a(z) + 18*l(z). Factor x(s).
2*s**3*(s + 1)**2
Let -2/5*p**3 + 4/5 + 2/5*p - 4/5*p**2 = 0. What is p?
-2, -1, 1
Let c(q) = q**4 + 8*q**3 + q**2 + 6. Let n = -1 + 3. Let x(m) = -m**n - 3 - 2*m**4 - 8 - m**2 - 15*m**3. Let h(d) = -11*c(d) - 6*x(d). Factor h(p).
p**2*(p + 1)**2
Suppose 5*z - 7 = -3*y, -z = -6*z + 25. Let d = -6 - y. Solve d*l**3 - 5*l**3 - l**3 + 5*l**2 - l**2 + 2*l**5 = 0.
-2, 0, 1
Let h(a) be the third derivative of 0*a**3 + 0*a**4 + 0 + 1/210*a**7 + 1/120*a**6 - 3*a**2 + 0*a + 0*a**5. Solve h(l) = 0 for l.
-1, 0
Let c(q) = q**2 + 10*q + 4. Let n be c(-9). Let o be (n/3)/(5/(-15)). Find i, given that -2*i - 3*i**3 + 5*i + 3*i**5 + 2*i**3 - o*i**3 = 0.
-1, 0, 1
Let x(v) be the second derivative of v**5/60 + v**4/9 - v**3/18 - 2*v**2/3 - 9*v. Determine w so that x(w) = 0.
-4, -1, 1
Let s = -9 - -9. Factor 0 + s*n + 1/3*n**2.
n**2/3
Let o(w) be the first derivative of -w**3/9 - w**2/6 + 2*w - 9. Solve o(b) = 0 for b.
-3, 2
Let f(g) be the second derivative of 0 + 1/48*g**4 + 8*g + 1/8*g**3 + 1/4*g**2. Factor f(w).
(w + 1)*(w + 2)/4
Factor 0 + 2/9*t**2 + 4/9*t.
2*t*(t + 2)/9
Factor 12*c**5 + c**3 - c**3 + 12*c**4 + 5*c**3 - 2*c**3.
3*c**3*(2*c + 1)**2
Let d = 3 - 1. Let h = 2 - 0. Factor d*j**2 - j**h + 0*j**2.
j**2
Let a(y) be the first derivative of -y**6/180 + y**5/90 + y**2/2 - 4. Let w(k) be the second derivative of a(k). Determine g, given that w(g) = 0.
0, 1
Let u(k) = -7*k**2 - 3. Let b(j) = -20*j**2 - j - 10. Let m(h) = 6*b(h) - 17*u(h). Suppose m(n) = 0. Calculate n.
-3
Let x(z) be the third derivative of z**6/120 - z**5/10 + 3*z**4/8 - 2*z**3/3 - 9*z**2. Let n(t) be the first derivative of x(t). Determine d so that n(d) = 0.
1, 3
Let q(y) = 2*y + 0*y + 2*y - 2*y - 7. Let a be q(6). Determine u, given that -90/7*u**3 - 8*u**4 + 8*u**2 - 8/7*u + 0 + 14*u**a = 0.
-1, 0, 2/7, 1
Let c be -5 + 4/8*6. Let p = 0 - c. Determine i, given that 0*i - 2/7*i**3 + 0*i**p - 2/7*i**4 + 0 = 0.
-1, 0
Suppose -20 = -3*a - 4*z, 0 = -2*a - 5*z - 11 + 36. Suppose a = -0*f - 3*f + 6. Suppose 8*q**2 + 2*q**4 - f*q - 5*q**2 - 5*q**2 + 2*q**3 = 0. Calculate q.
-1, 0, 1
Let t(l) be the first derivative of -l**4/48 + l**2/2 - 5*l - 9. Let m(n) be the first derivative of t(n). Factor m(b).
-(b - 2)*(b + 2)/4
Let i(u) = -u**3 - 6*u**2 - 2*u - 3. Let l be 2/(-9) + 77/63. Let q(h) = -h**2 - 1. Let p(j) = l*i(j) - 3*q(j). Factor p(f).
-f*(f + 1)*(f + 2)
Let r(l) be the first derivative of 7*l**6/9 + 4*l**5/15 - 12. Let r(s) = 0. Calculate s.
-2/7, 0
Let b = 14 + -9. Suppose 4 = -o + b*u - 4, -o = -4*u + 6. Factor -3 - 4*y**4 - o*y + 3 + 2*y**5 + 4*y**2.
2*y*(y - 1)**3*(y + 1)
Suppose -4 = 7*l - 25. What is q in 0*q**l + 0*q + 2/7*q**4 - 2/7*q**2 + 0 = 0?
-1, 0, 1
Factor 0 + 2/9*b**3 + 0*b - 2/9*b**2.
2*b**2*(b - 1)/9
Let x(q) = -q**2 - 2*q - 12. Let s(v) = -2*v**2 - 3*v - 26. Let i(z) = 3*s(z) - 7*x(z). What is g in i(g) = 0?
-3, -2
Let j(q) be the second derivative of -q**7/210 + q**6/40 - q**5/240 - q**4/8 - q**3/6 + q**2 + 2*q. Let k(z) be the first derivative of j(z). Factor k(n).
-(n - 2)**2*(2*n + 1)**2/4
Let r(i) = -3*i**4 + i**3 + i**2 - 2*i - 1. Let o(b) = b**4 + b**3 + b**2 + 1. Let u(j) = -o(j) - r(j). Determine t, given that u(t) = 0.
-1, 0, 1
Suppose -11 = -20*q + 49. Let -2/9*r**q + 0 - 2/3*r**2 - 4/9*r = 0. What is r?
-2, -1, 0
Let d = -3/95 + 407/855. Solve 0 + 2/3*s**5 + 2/9*s + 4/9*s**4 - d*s**2 - 8/9*s**3 = 0.
-1, 0, 1/3, 1
Factor 0 + 0*g - 1/3*g**3 + 1/3*g**2.
-g**2*(g - 1)/3
Factor 12/5 - 16/5*l**3 - 36/5*l**2 + 8*l.
-4*(l - 1)*(l + 3)*(4*l + 1)/5
Let o(z) be the second derivative of z**7/12 + z**6/5 + 3*z**5/40 - z**4/12 - 16*z. Factor o(v).
v**2*(v + 1)**2*(7*v - 2)/2
Suppose 0*a = -a. Let g(m) be the third derivative of m**2 + a*m + 1/180*m**5 + 0 + 0*m**4 + 0*m**3. Suppose g(z) = 0. Calculate z.
0
Let y be (-11)/((-198)/12) + (-19)/30. Let c(l) be the second derivative of -2*l - 1/100*l**5 + 0 + y*l**4 + 0*l**3 - 1/150*l**6 + 0*l**2. Factor c(k).
-k**2*(k - 1)*(k + 2)/5
Let k(m) = 6*m**5 + 4*m**4 - m**3 + m**2. Let u(i) = -7*i**5 - 5*i**4 + i**3 - i**2. Let a(z) = -6*k(z) - 5*u(z). Factor a(g).
-g**2*(g - 1)**2*(g + 1)
Let v be 1 + -1 + -4 + 7. Let k = -1 + v. What is f in -f**2 + f**2 + 0*f**2 + f**3 - 2*f**4 - f + 3*f**k - 1 = 0?
-1, -1/2, 1
Let b = -1005/8 - -126. Let f(r) be the first derivative of -1/24*r**6 - 1/8*r**4 - 1/4*r + b*r**2 - 3 + 3/20*r**5 - 1/6*r**3. Factor f(v).
-(v - 1)**4*(v + 1)/4
Factor 2*b**2 - 8*b + 7 + 7 + 3 - 9.
2*(b - 2)**2
Let k(s) = -23*s**3 + s. Suppose p + 0 = -1. Let d be k(p). Factor -d*b**2 + 20/3*b - 32/3*b**4 + 80/3*b**3 - 2/3.
-2*(b - 1)**2*(4*b - 1)**2/3
Let b = -1 + 7. Let w(x) be the second derivative of -1/30*x**b + 1/4*x**3 - 1/2*x**2 + 1/28*x**7 + 1/6*x**4 + x + 0 - 3/20*x**5. Let w(n) = 0. What is n?
-1, 2/3, 1
Let y(s) be the second derivative of 2*s**7/7 + 7*s**6/10 - 