= 3*c**4 + 10*c**3 + 8*c**2 - 7*c - 7. Let w(a) = q*u(a) - 6*d(a). Factor w(r).
-r**2*(r - 1)*(4*r + 1)
Let 4/7 + 16/7*n + 16/7*n**3 + 24/7*n**2 + 4/7*n**4 = 0. Calculate n.
-1
Let j = 4/21 - -1/7. Let l(u) be the first derivative of 0*u + 2/3*u**4 - 3 + j*u**2 + 8/9*u**3. Determine m so that l(m) = 0.
-1/2, 0
Let o(a) be the first derivative of 2*a + 1/3*a**3 + 3/2*a**2 - 3. What is r in o(r) = 0?
-2, -1
Let z(w) be the third derivative of -5*w**8/168 + w**7/14 + 3*w**6/8 + w**5/12 - 5*w**4/8 + 6*w**2. What is c in z(c) = 0?
-1, 0, 1/2, 3
Let a be 18/4*(-4)/(-6). Suppose -2*z = -6*z + 8. Factor 0 - 1/4*b**a + 1/4*b + 0*b**z.
-b*(b - 1)*(b + 1)/4
Let j be 1 - (-6)/(-10) - 98/(-245). Factor 4/5*w**3 + 0 - j*w + 2/5*w**2 - 2/5*w**4.
-2*w*(w - 2)*(w - 1)*(w + 1)/5
Let b(p) be the second derivative of 2*p**7/21 - 2*p**6/3 + 6*p**5/5 + 2*p**4/3 - 14*p**3/3 + 6*p**2 - 16*p. Factor b(y).
4*(y - 3)*(y - 1)**3*(y + 1)
Let g(x) be the second derivative of -x**5/25 + 4*x**4/15 - 2*x**3/5 + 20*x. Factor g(p).
-4*p*(p - 3)*(p - 1)/5
Let v(u) be the third derivative of -u**5/240 + 7*u**4/96 - u**3/4 + 28*u**2. Factor v(x).
-(x - 6)*(x - 1)/4
Let m(q) = -q. Let x(u) = -u**2 - 2*u + 2. Let c = 5 - 4. Let f(i) = c*x(i) - m(i). Determine d, given that f(d) = 0.
-2, 1
Factor 1/2*u**3 - 3/2*u + 1 + 0*u**2.
(u - 1)**2*(u + 2)/2
Suppose r - 13 = 5*i - 1, i = 4*r - 10. Let x = -24/73 + 946/657. Factor 14/9*y**r + x*y - 4/9.
2*(y + 1)*(7*y - 2)/9
Suppose 2/13*r**2 - 2/13*r**4 + 0 + 2/13*r - 2/13*r**3 = 0. What is r?
-1, 0, 1
Let t(i) = 2*i + 4. Let g be t(-2). Suppose g = -3*v + 5*m, 0*m = v - 2*m. Factor v + 8/7*d + 8/7*d**2 + 2/7*d**3.
2*d*(d + 2)**2/7
Factor 48/5*c**2 + 33/5*c + 21/5*c**3 + 6/5.
3*(c + 1)**2*(7*c + 2)/5
Let 2/13*x**2 + 0 - 8/13*x = 0. Calculate x.
0, 4
Let c(y) = 3*y**2 - 5*y + 2. Let w(g) = g**2 - 2*g + 1. Let h(b) = -2*c(b) + 5*w(b). Let h(q) = 0. What is q?
-1, 1
Let f(t) be the third derivative of t**9/15120 + t**8/6720 - t**7/2520 - t**6/720 - t**4/6 - 3*t**2. Let x(c) be the second derivative of f(c). Solve x(r) = 0.
-1, 0, 1
Let z(w) = 5*w**2 + 9*w + 10. Let n be z(-7). Let u = -957/5 + n. Factor 2/5*d + 1/5 - u*d**2.
-(d - 1)*(3*d + 1)/5
Let n(b) = b. Let o be n(2). Let g(q) be the first derivative of -1/12*q**3 + 0*q + o + 1/4*q**2. Factor g(h).
-h*(h - 2)/4
Let f(q) be the second derivative of -q**6/240 - q**5/160 + q**4/96 + q**3/48 - 9*q. Let f(m) = 0. What is m?
-1, 0, 1
Factor 0*b**2 - 1/4*b**5 - 1/2*b**3 + 0*b - 3/4*b**4 + 0.
-b**3*(b + 1)*(b + 2)/4
Let k(v) = 2*v**4 + 7*v**3 - 7*v**2 - 2*v + 13. Let b = 6 - 12. Let q(i) = -i**4 - 3*i**3 + 3*i**2 + i - 6. Let w(u) = b*k(u) - 13*q(u). Factor w(l).
l*(l - 1)**3
What is h in 4*h + 23*h**4 - 40*h**2 + 16*h + 5*h**3 - 8*h**4 = 0?
-2, 0, 2/3, 1
Let g(j) = -j**3 - 7*j**2 - 4*j + 15. Let n be g(-6). Factor 1/4*p + 1/2*p**2 + 0 + 1/4*p**n.
p*(p + 1)**2/4
Let a(d) = 20*d**5 + 11*d**4 + 8*d**3 - 8*d**2 + 8*d - 8. Let z(w) = 13*w**5 + 7*w**4 + 5*w**3 - 5*w**2 + 5*w - 5. Let h(y) = -5*a(y) + 8*z(y). Factor h(n).
n**4*(4*n + 1)
Let v = 26 - 23. Find y such that -2/3*y**v + 4/9 + 2/3*y - 2/9*y**4 - 2/9*y**2 = 0.
-2, -1, 1
Let c(b) be the third derivative of -b**8/1344 + 11*b**7/840 - 7*b**6/96 + 5*b**5/48 - 43*b**2. Factor c(m).
-m**2*(m - 5)**2*(m - 1)/4
Let b(j) be the first derivative of -j**3/2 + 9*j**2/2 - 27*j/2 - 21. Factor b(q).
-3*(q - 3)**2/2
Let n(l) be the first derivative of 5*l**3/3 - 35*l**2/2 + 30*l + 31. Solve n(i) = 0.
1, 6
Let m be -1 + 0 + (-150)/(-140). Let f(b) be the first derivative of 0*b + m*b**4 - 1 - 2/7*b**3 + 2/7*b**2. Factor f(l).
2*l*(l - 2)*(l - 1)/7
Let x(t) be the second derivative of -7*t**5/90 + 5*t**4/9 - 8*t**3/27 + 4*t. Factor x(l).
-2*l*(l - 4)*(7*l - 2)/9
Let r = -1 + 3. Factor -2*d**4 - 2*d**3 + 0*d**4 + 2*d**r + 0*d**2 + 2*d.
-2*d*(d - 1)*(d + 1)**2
Let k(x) be the first derivative of -1/30*x**6 + 0*x + 4 + 0*x**2 - 1/15*x**3 - 3/25*x**5 - 3/20*x**4. Determine w, given that k(w) = 0.
-1, 0
Let n(f) be the second derivative of f**6/80 - 3*f**5/160 - 3*f**4/32 + 5*f**3/16 - 3*f**2/8 - 13*f. Suppose n(o) = 0. What is o?
-2, 1
Suppose 4*p + 0 = 20. Suppose j = p - 2. Let -2 + 2*q - 4*q**3 + 6*q**2 - 2*q**2 + 5*q**5 - 2*q**4 - j*q**5 = 0. What is q?
-1, 1
Let f(z) be the second derivative of -z**8/1680 + z**7/280 - z**6/120 + z**5/120 - z**3 + 5*z. Let m(l) be the second derivative of f(l). Factor m(d).
-d*(d - 1)**3
Suppose -31*h + 2 + 91 = 0. Factor 3*b**2 + 3/2*b - 3 - 3/2*b**h.
-3*(b - 2)*(b - 1)*(b + 1)/2
Suppose 5*l - 32 = -d + 4*d, -2*d = 8. Let m(c) be the first derivative of -1/12*c**l + 0*c - 1/9*c**3 + 1/6*c**2 + 1/15*c**5 + 2. Factor m(q).
q*(q - 1)**2*(q + 1)/3
Solve 20*n**2 + 8 + 20*n + 5/2*n**4 + 1/4*n**5 + 10*n**3 = 0 for n.
-2
Let i = 36 + -32. Suppose 4/5*p**2 + 0 + 6/5*p**3 + 0*p + 2/5*p**i = 0. What is p?
-2, -1, 0
Let c(g) be the second derivative of g**5/4 - 5*g**4/4 + 5*g**3/3 + 3*g. Factor c(f).
5*f*(f - 2)*(f - 1)
What is x in -4/5*x**5 + 6/5*x**3 + 0 + 2/5*x**4 + 0*x**2 + 0*x = 0?
-1, 0, 3/2
Let k(w) be the second derivative of 1/8*w**4 + 0*w**2 + 3/20*w**6 - 1/28*w**7 + 0*w**3 - 3*w - 9/40*w**5 + 0. Determine y so that k(y) = 0.
0, 1
Let b(o) be the first derivative of 4*o**5 - 9*o**4 - 88*o**3/3 + 72*o**2 + 32*o + 30. Solve b(s) = 0.
-2, -1/5, 2
Let f(t) = -7*t**3 + 16*t**2 - 11*t + 6. Let p(h) = -8*h**3 + 17*h**2 - 10*h + 6. Let r(b) = 5*f(b) - 4*p(b). Factor r(l).
-3*(l - 2)*(l - 1)**2
Let s(z) be the third derivative of -1/150*z**6 + 0*z - 1/75*z**5 + 1/840*z**8 + 0 + 1/15*z**3 + 1/525*z**7 + 1/60*z**4 + z**2. Factor s(c).
2*(c - 1)**2*(c + 1)**3/5
Suppose 2*y + 22 = 26. Let -4/11 + 14/11*n**4 - 18/11*n + 18/11*n**3 - 10/11*n**y = 0. What is n?
-1, -2/7, 1
Let v(w) be the first derivative of -w**5/15 - w**4/3 + 3*w**2 + 2. Let d(r) be the second derivative of v(r). What is t in d(t) = 0?
-2, 0
Suppose -b + 7 = 2*n, 5 = -3*n + 3*b + 2. Suppose -1/5 + 0*c + 1/5*c**n = 0. What is c?
-1, 1
Let a(i) = 6*i**3 + 9*i**2. Let p(o) = -5*o**3 - 8*o**2. Let t(m) = -6*a(m) - 7*p(m). Solve t(r) = 0 for r.
0, 2
Let q = -2 + 2. Suppose 16 = 2*w - 3*z, 6*w + 2*z = 2*w. Let -o**3 + q*o**w + 0*o**2 = 0. What is o?
0
Let q(j) = 1 - 1 + 2*j**2 + 3*j. Let d be q(-2). Find b, given that 0 + 1/3*b**3 + 0*b**d - 1/3*b = 0.
-1, 0, 1
Let n(g) = g - 1. Let o be n(-3). Let x = o - -9. Suppose -9*b**4 - 2*b**x + 5*b**5 - 4*b**2 + 9*b**3 + b**2 = 0. Calculate b.
0, 1
Suppose 0 = 4*h - 8, -3*n - 3*h = 2*h - 16. Suppose 5*f = -0 + 10. Let -n*v**4 + 4*v**4 - f*v**2 + 0*v**2 = 0. What is v?
-1, 0, 1
Find f, given that -3/2*f**2 + 3/2*f**3 + 3/2 - 3/2*f = 0.
-1, 1
Let l(g) be the third derivative of -g**7/1365 - g**6/390 + g**5/390 + g**4/78 + 10*g**2. Determine y so that l(y) = 0.
-2, -1, 0, 1
Determine m, given that 28/5*m - 8/5*m**2 - 8/5 - 12/5*m**3 = 0.
-2, 1/3, 1
Let y(m) = -m**4 - 4*m**2 + 5*m. Suppose 0 = -4*i + 4. Let d(f) = f**2 - f. Let v(a) = i*y(a) + 5*d(a). Solve v(w) = 0.
-1, 0, 1
Factor 2 + 0*m**3 + 9*m**2 + m**3 - 11*m**2 - m.
(m - 2)*(m - 1)*(m + 1)
Let t(y) = 2*y**5 - 12*y**4 - 2*y**3 + 10*y**2 + 2. Let l(n) = 2*n**5 - 11*n**4 - n**3 + 9*n**2 - n + 2. Let c(r) = -6*l(r) + 5*t(r). Factor c(j).
-2*(j - 1)**4*(j + 1)
Let l(f) be the first derivative of 5*f**4/4 - 10*f**3/3 + 5*f**2/2 - 25. Factor l(g).
5*g*(g - 1)**2
Let x(s) = 3*s - 9. Let z be x(3). Solve 2/5*r**3 + 0*r - 2/5*r**5 + z + 2/5*r**4 - 2/5*r**2 = 0 for r.
-1, 0, 1
Let h be 1*(8 + -7)*(-2 + 2). Factor 0*a - 2/5*a**5 + h + 0*a**2 + 0*a**3 - 2/5*a**4.
-2*a**4*(a + 1)/5
Suppose 3*g = 3*v + 37 + 32, g = -2. Let y = -74/3 - v. Find m such that 0 + 1/3*m**5 + 0*m - 1/3*m**4 + 1/3*m**2 - y*m**3 = 0.
-1, 0, 1
Let l(g) be the second derivative of -5*g**7/42 - 11*g**6/30 - 39*g**5/100 - 3*g**4/20 - 10*g. Determine k, given that l(k) = 0.
-1, -3/5, 0
Let f(n) be the first derivative of -n**4/2 + 2*n**3/3 + 7*n**2/4 + n - 9. Suppose f(c) = 0. What is c?
-1/2, 2
Suppose 0 = 2*u + 2 - 8. Find c, given that -3*c**u + 6*c**2 - 18 + 18 = 0.
0, 2
Let w(l) be the first derivative of 4*l**5/15 - 2*l**4/3 - 16*l**3/9 + 4*l**2/3 + 4*l + 2. Solve w(o) = 0.
-1, 1, 3
Let x(b) = 5*b**2 + 7*b - 6. Let j(r) = 2 - 13*r - 11*r**2 + 7 - 2*r + 4. Let f(i) = 6*j(i) + 13*x(i). Find z, given that f(z) = 0.
0, 1
Let