et h be l(10). Let s = h - -14. Solve 0 - 1/6*g**3 - 1/6*g**s + 1/6*g**2 + 1/6*g = 0.
-1, 0, 1
Factor -16*y + 67*y - 23*y + 3*y**2 - 25*y.
3*y*(y + 1)
Let a(i) = 5*i - 6. Let p be a(6). Suppose 0*u + 4*y = 4*u, -4*u = 4*y + p. Let t(b) = b**2 + b + 4. Let o(c) = c + 1. Let w(l) = u*o(l) + t(l). Factor w(z).
(z - 1)**2
Let s(o) be the second derivative of 2*o**5/35 - 73*o**4/42 + 114*o**3/7 - 81*o**2/7 - 4*o. Factor s(p).
2*(p - 9)**2*(4*p - 1)/7
Let l = -11/26 + 683/78. Let f = l + -7. Factor -26/3*q - f - 6*q**3 - 16*q**2.
-2*(q + 2)*(3*q + 1)**2/3
Suppose -3*x + 20 = -13. Let s(a) = 4*a**2 + 34*a + 30. Let b(k) = -k**2 - 7*k - 6. Let l(u) = x*b(u) + 2*s(u). Factor l(v).
-3*(v + 1)*(v + 2)
Factor 15*f + 2*f**2 - 7*f - 6*f**2.
-4*f*(f - 2)
Let a(h) be the second derivative of -h**10/90720 + h**9/15120 - h**8/6720 + h**7/7560 - h**4/4 - 7*h. Let o(y) be the third derivative of a(y). Factor o(s).
-s**2*(s - 1)**3/3
Let g(s) = 5*s**4 + 12*s**3 - 17*s**2 - 4*s + 4. Let p(z) = 2*z**4 + 4*z**3 - 6*z**2 - z + 1. Let u(y) = -3*g(y) + 8*p(y). Solve u(w) = 0.
-1, 1, 2
Suppose 0 = -3*p - p - 2*l + 6, 40 = 5*p - 4*l. Suppose -p*f + 10 = f. Factor -n**4 - 4*n**2 + n + 0*n**4 - n**3 + 5*n**f.
-n*(n - 1)*(n + 1)**2
Let n(h) be the first derivative of 4*h**5/5 - 7*h**4/4 - 5*h**3/3 + 3*h**2 - 2. Find s such that n(s) = 0.
-1, 0, 3/4, 2
Suppose 5*a - 25 = -5*o, a - 4*o + 3*o = 1. Let m(p) be the first derivative of -1/4*p + 1/12*p**a - 3 + 0*p**2. Factor m(g).
(g - 1)*(g + 1)/4
Let v(b) = 9*b**3 + 119*b**2 + 171*b + 59. Let f(n) = 4*n**3 + 60*n**2 + 86*n + 30. Let l(d) = -11*f(d) + 6*v(d). Find p such that l(p) = 0.
-3, -2, -2/5
Let a(y) be the first derivative of -y**3/21 + y**2/14 + 2*y/7 - 4. Find q, given that a(q) = 0.
-1, 2
Determine w so that 0*w + 0 - 2/5*w**4 + 0*w**2 + 2/5*w**3 = 0.
0, 1
Let z(h) be the third derivative of -h**8/80640 + h**7/3360 - h**6/320 + h**5/15 + h**2. Let x(r) be the third derivative of z(r). Suppose x(m) = 0. What is m?
3
Let j(c) be the third derivative of -c**6/180 + c**5/60 - c**3/2 + 4*c**2. Let i(n) be the first derivative of j(n). Factor i(g).
-2*g*(g - 1)
Suppose 112 = 2*z - 246. Let k = 1255/7 - z. Factor -2/7*n**2 + 0 - k*n.
-2*n*(n + 1)/7
Let l(h) = -h + 5. Let f be l(6). Let b be (20 - 17)/((-1)/f). Find s, given that -13/5*s**2 - 4/5 + 6/5*s**b + 12/5*s - 1/5*s**4 = 0.
1, 2
Let l be 39/91*(-8)/(-12). Solve -l*d + 0 + 2/7*d**2 = 0.
0, 1
Let y(l) be the first derivative of -4*l**5/5 + 5*l**4 - 32*l**3/3 + 8*l**2 - 10. Find s, given that y(s) = 0.
0, 1, 2
Let r = 49 + -47. Factor 1/3*a**r - 1/3 + 0*a.
(a - 1)*(a + 1)/3
Let k = -15 - -11. Let v = 9 + k. Factor u - 2*u**3 + 3*u**3 - 3*u**3 + u**v.
u*(u - 1)**2*(u + 1)**2
Factor 60*z**3 - 64*z**3 - 22*z**2 - 16 - 36*z - 2*z**2.
-4*(z + 1)**2*(z + 4)
Let y(x) = -15*x**3 + x**2 + 4*x - 6. Let n(g) = -210*g**3 + 15*g**2 + 55*g - 85. Let a(d) = -6*n(d) + 85*y(d). What is v in a(v) = 0?
-1, 0, 2/3
Let t(r) be the second derivative of 0*r**4 + r + 0*r**6 + 0*r**5 + 0 + r**2 + 1/210*r**7 + 0*r**3. Let y(w) be the first derivative of t(w). Factor y(v).
v**4
Let y(x) = -4*x**3 - 36*x**2 - 5*x - 10. Let i(r) = 12*r**3 + 108*r**2 + 14*r + 28. Let n(g) = -5*i(g) - 14*y(g). Factor n(k).
-4*k**2*(k + 9)
Factor 2 - 4*m + 4*m**3 - 2.
4*m*(m - 1)*(m + 1)
Suppose 2/5*q + 8/5*q**5 + 6*q**3 + 0 + 14/5*q**2 + 26/5*q**4 = 0. What is q?
-1, -1/4, 0
Let x(u) be the third derivative of -u**6/540 + u**5/180 + u**4/18 + u**3/6 + u**2. Let z(y) be the first derivative of x(y). Factor z(w).
-2*(w - 2)*(w + 1)/3
Suppose -v = 2*v + 54. Let j = v + 18. Factor 0*n + j + 2/3*n**2.
2*n**2/3
Let r(d) = 2*d**3 + 2*d**2 - 12*d + 8. Let i(o) = -o - 3*o + 4*o + o**2 - o**3. Let c(f) = 2*i(f) - r(f). What is x in c(x) = 0?
-2, 1
Let d(z) be the third derivative of -z**8/13440 + z**7/2520 - z**4/24 - z**2. Let f(a) be the second derivative of d(a). Suppose f(h) = 0. Calculate h.
0, 2
Factor 0 + 0*f - 4/9*f**2 - 2/3*f**3 - 2/9*f**4.
-2*f**2*(f + 1)*(f + 2)/9
Let c(s) be the third derivative of -2*s**7/315 + s**5/15 - s**4/9 - 2*s**2 + 2. Solve c(l) = 0 for l.
-2, 0, 1
What is k in 6*k + 4*k**2 + 2 + 1 - k**2 = 0?
-1
Let w(i) be the third derivative of i**8/336 - i**7/210 - i**6/40 + i**5/60 + i**4/12 - 5*i**2. Factor w(k).
k*(k - 2)*(k - 1)*(k + 1)**2
Suppose -q + 7 = j + 2, -2*q + 10 = -2*j. Suppose -6*o**2 - 1 + j*o + 10*o - 3 = 0. Calculate o.
2/3, 1
Let f(b) be the second derivative of b**6/45 - 7*b**5/120 + b**4/36 + b**3/36 - 10*b. Factor f(r).
r*(r - 1)**2*(4*r + 1)/6
Determine j so that -4/7*j**2 + 4/7 + 2/7*j**3 - 2/7*j = 0.
-1, 1, 2
Let w(t) = 2*t**2 - 37*t - 152. Let r(p) = 3*p**2 - 75*p - 303. Let i(x) = 5*r(x) - 9*w(x). Determine m so that i(m) = 0.
-7
Let m(u) = 2*u**3 + 1 + 3*u**2 + 6*u - 3 + 1. Let l(z) = 7*z**2 + 10*z**3 + 12*z + 0 - 6*z**3 - 1. Let g(i) = -3*l(i) + 5*m(i). Suppose g(j) = 0. What is j?
-1
Let p be 3/2*(-24)/(-9). Suppose 7 - 19 = -p*c. Factor 0 + 0*w**4 - 2/7*w**5 - 2/7*w + 0*w**2 + 4/7*w**c.
-2*w*(w - 1)**2*(w + 1)**2/7
Let c be (-14)/84 - 26/(-12). Solve 0 + 1/5*x + 1/5*x**c = 0 for x.
-1, 0
Determine g so that 6*g + 1 - 6*g**3 + 13/4*g**4 - 17/4*g**2 = 0.
-1, -2/13, 1, 2
Let m(x) be the first derivative of x**9/12096 - x**8/3360 + x**6/720 - x**5/480 + x**3 - 10. Let g(l) be the third derivative of m(l). Factor g(b).
b*(b - 1)**3*(b + 1)/4
Let q(t) = 19*t**3 + 108*t**2 + 72*t - 48. Let l(y) = -9*y**3 - 54*y**2 - 36*y + 24. Let u(r) = -11*l(r) - 6*q(r). Factor u(p).
-3*(p + 2)**2*(5*p - 2)
Let t(b) be the second derivative of b**4/6 - b**3 - 11*b. Solve t(m) = 0.
0, 3
Let r be (-18*(-2)/123)/(-1). Let o = r - -745/164. Let 3*k**5 - o*k**4 + 1/4*k + 0 - 1/4*k**3 + 5/4*k**2 = 0. Calculate k.
-1/3, -1/4, 0, 1
Find x such that 0 + 0*x + 2/7*x**2 = 0.
0
Let c(q) be the first derivative of -2*q**3/21 + 3*q**2/7 - 16. Find v, given that c(v) = 0.
0, 3
Determine j, given that 0 + 0*j**4 + 0*j - 1/5*j**5 + 3/5*j**3 + 2/5*j**2 = 0.
-1, 0, 2
Suppose -4 = 3*h + 8. Let m be 20/8 + (-2)/h. Suppose -1/2*f**2 - 1/4*f**5 + 3/4*f**4 + 3/4*f - 1/4 - 1/2*f**m = 0. What is f?
-1, 1
Let q be 2/(-7) - 437/(-966). Solve q*c**3 - 1/3 - 1/2*c + 0*c**2 = 0 for c.
-1, 2
Let d(b) = 6*b**5 - 4*b**4 - 6*b**3 + 2*b - 2. Let z(s) = 7*s**5 - 4*s**4 - 5*s**3 + 3*s - 3. Let n(h) = -3*d(h) + 2*z(h). Factor n(c).
-4*c**3*(c - 2)*(c + 1)
Let x = -176/3 + 59. Solve 1/3 + 2/3*t + x*t**2 = 0.
-1
Let g(v) be the third derivative of v**8/60480 - v**7/2520 + v**6/240 + v**5/15 + 4*v**2. Let c(p) be the third derivative of g(p). Factor c(q).
(q - 3)**2/3
Suppose 2*y + 40 = 10*y. Factor -1/4*v**y + 0 + 1/2*v**2 + 1/4*v - 1/2*v**4 + 0*v**3.
-v*(v - 1)*(v + 1)**3/4
Let t(d) = 7*d**2 - 15*d - 2. Let f(a) = a**2 - a. Let i(c) = 6*f(c) - t(c). Let q be i(9). Let 3*r**2 + r + 0*r - 2*r**q + 0*r = 0. What is r?
-1, 0
Let o(n) = -5*n**2 + 3*n + 5. Let h(s) = -6*s**2 + 4*s + 4. Let m(a) = -3*h(a) + 2*o(a). Find v such that m(v) = 0.
-1/4, 1
Let v(l) = 14*l**3 + 9*l**2 - 5*l. Let t(o) = -15*o**3 - 10*o**2 + 5*o. Let y(f) = -4*t(f) - 5*v(f). Factor y(x).
-5*x*(x + 1)*(2*x - 1)
Suppose 4*i + 3 - 11 = 0. Factor 3*n - 7*n + 2*n + i*n**2.
2*n*(n - 1)
Let n = 73 - 71. Let z(d) be the first derivative of 0*d**n - 1 + 0*d + 2/5*d**5 + 0*d**3 + 0*d**4. Factor z(k).
2*k**4
Let j(q) be the second derivative of 0*q**5 - 1/147*q**7 - 1/21*q**4 + 0 + 3*q + 0*q**2 + 2/105*q**6 + 1/21*q**3. Factor j(a).
-2*a*(a - 1)**3*(a + 1)/7
Let g = -15 + 17. Let i be g/11 + (-16)/(-33). Find h such that i*h - 1/3 - 1/3*h**2 = 0.
1
Suppose 44*z = 40*z + 24. Let q(l) be the first derivative of -1/12*l**3 + 3/16*l**4 + 1/24*l**z + 0*l - 3/20*l**5 + 0*l**2 + 1. Factor q(y).
y**2*(y - 1)**3/4
Let w(c) = -6*c**3 + 3*c - 3. Let o be w(2). Let u = o + 136/3. Factor y**2 - 2/3 + u*y.
(y + 1)*(3*y - 2)/3
Let v(f) = 2*f**5 - 14*f**3 + 4*f**2 + 8. Let n be (-36)/(-28) + 4/(-14). Let p(w) = -w**3 + 1. Let z(k) = n*v(k) - 8*p(k). Factor z(b).
2*b**2*(b - 1)**2*(b + 2)
Let v(y) = -6*y**2 - 10*y - 1. Let b(f) = f**2 - f - 1. Let q(i) = b(i) + v(i). Factor q(m).
-(m + 2)*(5*m + 1)
Suppose -60 = 5*o + 3*b, 3*o + 0*b - 4*b = -36. Let m = 14 + o. Factor -4/7*a**4 + 0 + 2/7*a - 2/7*a**5 + 4/7*a**m + 0*a**3.
-2*a*(a - 1)*(a + 1)**3/7
Factor 3*n - 47*n**3 + 0*n**5 + 41*n**3 - n