 15*a - 2*a**2 = 0 for a.
0
Let d = 334/35 - 64/7. Suppose 0 = -6*a + 2*a + 16. Let -2/5*m**3 - 4/5*m**a + 0*m - d*m**5 + 0 + 0*m**2 = 0. Calculate m.
-1, 0
Let q(a) = -a**4 - a**3 + a - 1. Let l(t) = -8*t**5 - 21*t**4 - 25*t**3 - 14*t**2 - 7*t + 5. Let b(x) = l(x) + 5*q(x). Suppose b(u) = 0. Calculate u.
-1, -1/4, 0
Let 3*r + 3/2*r**2 + 3/2 = 0. Calculate r.
-1
Let z(m) = -3*m**2 + 42*m - 141. Let k(p) = 9*p**2 - 126*p + 424. Let s(h) = -6*k(h) - 17*z(h). Factor s(f).
-3*(f - 7)**2
Factor -48*x**2 + 125*x + 8*x**3 - 2*x**2 - 3*x**3.
5*x*(x - 5)**2
Suppose 6 = -3*j, -4*d - 2 = 2*j - 10. Let 0 - 16/3*a**d - a**5 - 13/3*a**4 + 0*a - 4/3*a**2 = 0. What is a?
-2, -1/3, 0
Let w = -395 + 2769/7. Let -1/7*g**2 - w - 4/7*g = 0. What is g?
-2
Let i(k) = -11*k**5 + 11*k**4 - 2*k**3 + 2*k**2 - 11*k + 11. Let p(r) = -4*r**5 + 4*r**4 - r**3 + r**2 - 4*r + 4. Let a(y) = 3*i(y) - 8*p(y). Factor a(x).
-(x - 1)**3*(x + 1)**2
Suppose -l - 10 = -3*w, 3*w = w - 2*l - 4. Let 2*s**2 + s**2 - s**2 - w*s**4 + 0*s**2 = 0. What is s?
-1, 0, 1
Let j(p) be the second derivative of p**8/5040 - p**7/1260 + p**5/180 - p**4/72 + p**3/6 - 2*p. Let q(s) be the second derivative of j(s). Solve q(m) = 0.
-1, 1
Let -2/11*n + 0 + 4/11*n**2 = 0. What is n?
0, 1/2
Let l(x) be the third derivative of x**8/784 + 3*x**7/245 + x**6/20 + 4*x**5/35 + 9*x**4/56 + x**3/7 + 17*x**2. Suppose l(s) = 0. What is s?
-2, -1
Let h(x) be the third derivative of -x**6/120 + x**5/15 + 5*x**4/24 + 4*x**2. Let l be h(5). Factor -1/5*w**3 + l - 1/5*w - 2/5*w**2.
-w*(w + 1)**2/5
Let a(n) = -n**3 - 4*n**2 + 3*n - 2. Let t(b) = b**3 + 3*b**2 - 3*b + 1. Let p(f) = -3*a(f) - 4*t(f). Factor p(h).
-(h - 2)*(h + 1)**2
Let s(z) be the second derivative of z**3/6 - 2*z. Let q be s(2). Solve -1/2 + 1/2*b - 1/2*b**3 + 1/2*b**q = 0.
-1, 1
Solve 147/4*a**3 - 3*a + 1029/8*a**4 - 21/2*a**2 + 0 = 0.
-2/7, 0, 2/7
Let a(v) = -3*v - 29. Let c be a(-12). Let t(h) be the third derivative of h**2 + 0 - 1/18*h**3 + 0*h**4 - 1/630*h**c + 0*h**6 + 1/90*h**5 + 0*h. Factor t(g).
-(g - 1)**2*(g + 1)**2/3
Let c(j) = 3*j**2 + 10*j - 13. Let k(l) = l**2 - 1. Let t(v) = -c(v) + 5*k(v). Suppose t(o) = 0. What is o?
1, 4
Suppose 26 = 2*v + 22. Let k(i) be the second derivative of 1/6*i**4 - 4/3*i**3 + 4*i**2 + 0 + v*i. Factor k(u).
2*(u - 2)**2
Let x be -1 - (-14 + (-2)/(-2)). Suppose 4*b - 29 = -2*a + 9*b, -10 = 2*b. Solve a*m**2 + 2 + 17 - 1 + x*m = 0.
-3
Let l(m) be the first derivative of m**4/8 - m**3/2 + 2*m - 10. Factor l(b).
(b - 2)**2*(b + 1)/2
Let m = 11 + -10. Suppose 2*z - 14 = 2*y, -4*y - m = 5*z - 9. Determine o, given that 4/5*o - 4/5*o**3 - 2/5*o**z + 2/5 + 0*o**2 = 0.
-1, 1
Let n(k) = -3*k**2 - 12*k + 18. Let q(w) = -2*w**2 - 13. Let c(j) = -j**2 - 6. Let g(s) = 13*c(s) - 6*q(s). Let h(f) = 5*g(f) - n(f). Factor h(z).
-2*(z - 3)**2
Let w(p) be the second derivative of p**6/135 - p**4/18 + 2*p**3/27 - 6*p. Let w(n) = 0. What is n?
-2, 0, 1
Let n = 126 - 124. Factor 2/3 + 1/3*v**3 - 2/3*v - 1/2*v**n + 1/6*v**4.
(v - 1)**2*(v + 2)**2/6
Let c(p) be the first derivative of 0*p + 0*p**4 - 1/2*p**2 - 2/5*p**5 + 3 + 2/3*p**3 + 1/6*p**6. Factor c(b).
b*(b - 1)**3*(b + 1)
Factor -3/5*p**3 + 0 + 3/5*p**2 + 0*p.
-3*p**2*(p - 1)/5
Let z(c) be the first derivative of -c**2/2 - 5*c + 1. Let j be z(-9). Let 2*k**3 + k + k**2 + k**4 - 2*k**j - 3*k**3 = 0. What is k?
-1, 0, 1
Let w(z) be the first derivative of 1/2*z**4 - 2/3*z**3 + 0*z + 0*z**2 + 2. Suppose w(d) = 0. Calculate d.
0, 1
Find j, given that 14/11*j**3 - 2/11*j**4 - 16/11 - 36/11*j**2 + 40/11*j = 0.
1, 2
Factor 14*f**2 - 22*f + 26*f**2 + 18*f**3 - 45 + 12*f**3 - 8*f + 5*f**4.
5*(f - 1)*(f + 1)*(f + 3)**2
Let k = -9 - -12. Suppose -7*n = -k*n - 8. Factor -1/4*i + 0 + 1/4*i**n.
i*(i - 1)/4
Let n(c) be the third derivative of c**6/300 + c**5/50 + c**4/30 + 4*c**2. Factor n(t).
2*t*(t + 1)*(t + 2)/5
Let r(u) be the second derivative of u**5/110 - u**4/66 - 2*u**3/33 + 16*u. Find j, given that r(j) = 0.
-1, 0, 2
Let i(f) = 4 + 3*f + 6*f**2 + f**3 - 7 - 4*f - 3. Let p be i(-6). Suppose 33/4*c**2 - 25/2*c**3 + 21/4*c**4 - 1 + p*c = 0. What is c?
-2/7, 2/3, 1
Let o(d) be the third derivative of d**7/420 - d**6/20 + 9*d**5/20 - 9*d**4/4 + d**3/6 - 5*d**2. Let i(y) be the first derivative of o(y). Solve i(c) = 0.
3
Let i = -124 - -624/5. Let g(m) = 2*m + 11. Let p be g(-4). Let 1/5*n - i*n**2 + 0 + 3/5*n**p = 0. Calculate n.
0, 1/3, 1
Let -4/5 + 16/5*g**3 - 4/5*g**4 + 16/5*g - 24/5*g**2 = 0. Calculate g.
1
Let z(b) be the second derivative of b**6/6 - b**5 + 25*b**4/12 - 5*b**3/3 + 5*b. Find q, given that z(q) = 0.
0, 1, 2
Let l(a) = a**2 + 18*a - 40. Let t be l(-20). Solve 2/7*d**5 + 0*d**4 + 0*d**2 + t + 0*d - 2/7*d**3 = 0 for d.
-1, 0, 1
Suppose 5*c + 4 = 4. Factor 3/2*s**2 + 3/2*s**3 + c - 3*s.
3*s*(s - 1)*(s + 2)/2
Let n(x) = -20*x**5 + 10*x**4 + 6*x**3 - 8*x**2 - 2*x. Let m(f) = -f**5 + f**4 + f**3. Let i(v) = 36*m(v) - 2*n(v). Solve i(q) = 0.
-1, 0
Let s(r) be the first derivative of -2*r**5/5 + 3*r**4/2 - 2*r**3/3 - 3*r**2 + 4*r - 2. Factor s(f).
-2*(f - 2)*(f - 1)**2*(f + 1)
Suppose 2*m + 18 = 5*c, -2*m - 4*c - 36 = -0*m. Let n be ((-44)/(-77))/((-4)/m). Solve -2/3 - 2/3*u + 2/3*u**3 + 2/3*u**n = 0 for u.
-1, 1
Let s(w) be the third derivative of 0*w**4 + 0*w**3 + 1/300*w**5 + 0 + 0*w + w**2. Factor s(a).
a**2/5
Let x be (-1 + 1)/(-4) - -2. Let c = x - 2. Factor c*j + 0 - 2/5*j**2.
-2*j**2/5
Let s(n) be the second derivative of 1/35*n**5 + 0 - n + 0*n**2 - 1/105*n**6 + 0*n**3 - 1/42*n**4. What is w in s(w) = 0?
0, 1
Let l(k) = 6*k**2 - 20*k - 2. Suppose -4*b + 12 = -2*b. Let s(v) = 6*v**2 - 19*v - 1. Let i(t) = b*s(t) - 5*l(t). Determine a, given that i(a) = 0.
1/3, 2
Let j(l) = -3*l**4 + 2*l**3 + 3*l**2 - 7*l. Let y(h) = 5*h**4 - 3*h**3 - 5*h**2 + 11*h. Let n(f) = -8*j(f) - 5*y(f). Factor n(p).
-p*(p - 1)*(p + 1)**2
Let y(g) be the second derivative of -1/10*g**5 + 0*g**3 + 0 - 1/3*g**4 + 4*g + 1/15*g**6 + 0*g**2. Factor y(v).
2*v**2*(v - 2)*(v + 1)
Let s(i) be the first derivative of -i**4/12 - 2*i**3 - 18*i**2 - 72*i + 35. Factor s(m).
-(m + 6)**3/3
Suppose 2/9 + 2/3*h**2 - 2/9*h**3 - 2/3*h = 0. What is h?
1
Let t(b) = -b**4 - 6*b**3 + 2*b + 1. Let x(s) = -2*s**4 - 6*s**3 + s + 2. Let f(z) = -5*t(z) + 4*x(z). Determine i, given that f(i) = 0.
-1, 1
Let q(f) = -6*f**3 + 6*f**2 + 3*f - 3. Let a(z) = 11*z**3 - 11*z**2 - 7*z + 5. Let n(l) = 3*a(l) + 5*q(l). Factor n(r).
3*r*(r - 2)*(r + 1)
Let f(d) be the first derivative of -d**3/9 - d**2/6 + 7. Determine x so that f(x) = 0.
-1, 0
Let l(v) be the first derivative of -32*v**6/15 + 112*v**5/25 - 3*v**4 + 13*v**3/15 - v**2/10 + 11. Factor l(g).
-g*(g - 1)*(4*g - 1)**3/5
What is z in 1/4*z**2 + 0 + 0*z - 1/4*z**3 = 0?
0, 1
Suppose 245/3*r + 25*r**3 + 105*r**2 + 5/3*r**4 + 0 = 0. What is r?
-7, -1, 0
Suppose -3*h - 2 = -20. Let n(g) be the third derivative of 0*g + 0*g**4 + 0*g**3 + 1/20*g**5 - 1/40*g**h - g**2 + 0. Factor n(w).
-3*w**2*(w - 1)
Factor 5 + i**3 + 2*i**2 - 3*i**4 + i**5 + 14*i - 17*i + i**3 - 4.
(i - 1)**4*(i + 1)
Let a(q) = -q + 18. Let r be a(16). Let g(x) be the first derivative of 0*x + 2/3*x**3 - x**r - 1. Factor g(j).
2*j*(j - 1)
Suppose -4*w + 2*w = 0. Let m = 1 - 0. Factor m + w*c - c + c**2 + 3*c.
(c + 1)**2
Let k(z) be the first derivative of -3*z**3 - 21*z**2/2 - 6*z - 1. Suppose k(f) = 0. What is f?
-2, -1/3
Solve -151*c - 15*c**3 + 151*c + 5*c**2 - 20*c**4 = 0 for c.
-1, 0, 1/4
Let l(d) = d**2 - 10*d - 10. Let g be l(11). Suppose 4*i - g = 15. Suppose 4/7*a**3 - 4/7*a - 2/7 + 8/7*a**2 - 6/7*a**i = 0. What is a?
-1, -1/3, 1
Let w(m) be the second derivative of 0*m**2 + 0 - 3/70*m**5 - 1/105*m**6 - 1/21*m**3 - 1/14*m**4 - 5*m. Let w(a) = 0. Calculate a.
-1, 0
Let y = 11 - 20. Let b be 4/9*y/(-6). Factor 0 + 0*u - b*u**4 + 0*u**2 + 2/3*u**3.
-2*u**3*(u - 1)/3
Factor -2/5*r**5 - 2/5*r + 4/5*r**2 + 4/5*r**3 - 2/5 - 2/5*r**4.
-2*(r - 1)**2*(r + 1)**3/5
Let f(o) be the second derivative of -o**7/210 + o**6/75 - o**5/100 + 11*o. Factor f(v).
-v**3*(v - 1)**2/5
Let q(r) be the first derivative of r**5/90 - 2*r**4/27 - 5*r + 11. Let g(h) be the first derivative of q(h). Factor g(f).
2*f**2*(f - 4)/9
Let f(b) be the third derivative of -b**10/60480 + b**9/7560 - b**8/3360 - b**4/4 - 5*b**2. Let o(p) be the seco