*7/1260 - 7*d**3/6 + 4*d. Let u(p) be the second derivative of m(p). Let u(w) = 0. Calculate w.
-2/5, 0
Suppose -5*g + 0*g = -30. Let t(p) be the first derivative of -2/3*p**3 - 1/2*p**2 + 0*p + 0*p**4 - 1 + 1/6*p**g + 2/5*p**5. Suppose t(c) = 0. Calculate c.
-1, 0, 1
Let a(x) = -5*x**2 - 5*x. Let p(k) = 6*k**2 + 4*k. Let d(j) = -5*a(j) - 4*p(j). Determine f so that d(f) = 0.
-9, 0
Let v(f) be the third derivative of -f**5/36 + 5*f**4/9 - 40*f**3/9 - 8*f**2. Solve v(i) = 0.
4
Suppose -3*c**2 + 7*c**2 + 262*c**4 - 266*c**4 + 2*c**3 - 2*c**5 = 0. What is c?
-2, -1, 0, 1
Let q(a) be the first derivative of 4*a**3/3 - a + 3. Let o be q(1). Find r, given that -5 + 7 + o*r + r**3 - 2*r**3 = 0.
-1, 2
Let l(x) be the third derivative of x**5/12 + 185*x**4/72 + 10*x**3/3 - 35*x**2. Let l(q) = 0. What is q?
-12, -1/3
Factor 3*w**2 - w**2 + w**2.
3*w**2
Let 5*m**2 - 43 + 43 + 15*m = 0. Calculate m.
-3, 0
Let w(f) be the first derivative of 1/3*f**3 - f**2 + 3 + f. Factor w(x).
(x - 1)**2
Factor -2/9*y**2 + 4/9*y - 2/9.
-2*(y - 1)**2/9
Let h = 63 - 58. Let b(k) be the first derivative of -1/10*k**h - 3/8*k**4 - 1/2*k**3 + 0*k + 2 - 1/4*k**2. Factor b(d).
-d*(d + 1)**3/2
Find f, given that f**3 - f + 3/4*f**2 + 1/4*f**4 - 1 = 0.
-2, -1, 1
Let s(z) = -z + 11. Let c be s(7). Factor 2*w**3 + 5*w**2 + 2*w**3 + 4*w + w**2 - 2*w**4 + 3*w**c + 1.
(w + 1)**4
Suppose 9*t - 4*t = 15. Solve 3*g**2 - 77 - t*g + 77 = 0 for g.
0, 1
Let a be 17/17*(-1 + 1). Let j(q) be the first derivative of 0*q**3 - 1/12*q**4 - 8/9*q**6 - 2 + 0*q**2 - 8/15*q**5 + a*q. Determine z so that j(z) = 0.
-1/4, 0
Suppose 2/11*o**2 - 6/11*o**3 + 16/11*o + 8/11 = 0. What is o?
-1, -2/3, 2
Let i(h) be the third derivative of h**6/72 - 5*h**5/18 + 20*h**4/9 - 80*h**3/9 - 20*h**2. Factor i(f).
5*(f - 4)**2*(f - 2)/3
Let t(r) = -r**2 - 2*r + 10. Let q be t(-4). Factor -1/5 + 4/5*m + m**q.
(m + 1)*(5*m - 1)/5
Let a(g) be the second derivative of g**8/30240 + g**7/11340 + g**4/6 + 2*g. Let n(s) be the third derivative of a(s). Factor n(f).
2*f**2*(f + 1)/9
Let o(p) be the first derivative of 23/12*p**4 + 8/3*p - 2 - 4/15*p**5 + 10/3*p**2 - 14/3*p**3. Determine w, given that o(w) = 0.
-1/4, 2
Suppose 3*f = -2*q + 2, f + q = -3 + 4. Let t(r) be the second derivative of 0 - 1/6*r**4 + 1/10*r**5 + f*r**2 + 0*r**3 - 2*r. Find m, given that t(m) = 0.
0, 1
Let o(x) be the first derivative of 2/21*x**3 + 10 - 4/7*x**2 + 8/7*x. Factor o(g).
2*(g - 2)**2/7
Let h(p) be the first derivative of p**5/70 + p**4/14 + p**3/7 + p**2/7 + 4*p + 2. Let d(g) be the first derivative of h(g). Factor d(i).
2*(i + 1)**3/7
Solve 2*b**3 - 362*b**5 - 4*b + 6*b**4 + 183*b**5 - 6*b**2 + 181*b**5 = 0.
-2, -1, 0, 1
Let n(c) = -c**5 - c**4 - 23*c**3 + 11*c**2 + 7*c + 7. Let x(v) = 8*v**3 - 4*v**2 - 2*v - 2. Let z(f) = 4*n(f) + 14*x(f). Determine s, given that z(s) = 0.
-3, 0, 1
Let w be 3/(5/((-5)/2) - -4). Suppose -3*g - 10 = -7*g + 2*n, -4*g + 5*n = -1. Determine i, given that 3/2*i - 9/4*i**2 - w*i**3 + 9/4*i**g + 0 = 0.
-1, 0, 2/3, 1
Let b(v) be the second derivative of -v**4/42 + 2*v**3/21 + 3*v**2/7 + 4*v. Find z, given that b(z) = 0.
-1, 3
Let d(z) be the third derivative of -z**5/570 + z**4/57 - 22*z**2 + z. Suppose d(w) = 0. What is w?
0, 4
Let p be -6*(6 + (-20)/3). Factor 5/4*k**2 + 0 - 1/2*k + k**p + 11/4*k**3.
k*(k + 1)*(k + 2)*(4*k - 1)/4
Let l be 2/9 + 0 - 4/(-9). Let -l*d**3 - 2/3*d**2 + 0*d + 0 = 0. What is d?
-1, 0
Let l(o) be the first derivative of 5*o**6/6 + o**5 - 5*o**4/4 - 5*o**3/3 + 5. Determine a, given that l(a) = 0.
-1, 0, 1
Solve -11/2*j**2 + 1 - 9/2*j = 0.
-1, 2/11
Let x(p) be the first derivative of 0*p**2 + 7 + 1/15*p**6 + 0*p + 0*p**4 - 4/25*p**5 + 0*p**3. Factor x(f).
2*f**4*(f - 2)/5
Suppose -2*a + 12 = a. Suppose -2*l = -4*l + a. Let 4*r**3 + 2*r**4 + 4*r**l - 4*r**2 + 2*r**2 = 0. What is r?
-1, 0
Let a(o) = 6*o**4 - 19*o**3 - 7*o**2 + 19*o - 13. Let u(g) = -2*g**4 + 6*g**3 + 2*g**2 - 6*g + 4. Let r(p) = -2*a(p) - 7*u(p). Factor r(q).
2*(q - 1)**3*(q + 1)
Let g(w) be the third derivative of w**8/4200 + w**7/2100 - w**6/900 - w**5/300 + 5*w**3/6 - w**2. Let u(c) be the first derivative of g(c). Factor u(b).
2*b*(b - 1)*(b + 1)**2/5
Let b(y) = -y + 18. Let j be b(12). Solve -j*g + 2*g**2 - 6*g + 9 - g**2 + 2*g**2 = 0.
1, 3
Solve -4 - 5*d**4 + 5*d**2 + 5*d - 8 + 12 - 5*d**3 = 0.
-1, 0, 1
Suppose -5*j + 3 = -12, 4*l - 17 = -3*j. Let h(z) be the second derivative of 1/24*z**4 + 0*z**3 + 0 + 0*z**l - z. Factor h(q).
q**2/2
Let s(f) be the second derivative of f**5 + 14*f**4/3 + 88*f**3/15 + 16*f**2/5 - 31*f. Factor s(n).
4*(n + 2)*(5*n + 2)**2/5
Let 2 + 2*n**2 + 2*n + 2 - 8 = 0. Calculate n.
-2, 1
Factor -4 + 4*n - 2*n**3 - 2*n**3 - 42*n**2 + 46*n**2.
-4*(n - 1)**2*(n + 1)
Let p be 76/(-19)*(-1)/2. Let g = 1 + p. Factor 2/5*d**g + 4/5 + 8/5*d**2 + 2*d.
2*(d + 1)**2*(d + 2)/5
Let t(i) be the second derivative of -i**5/10 - 7*i**4/18 + 4*i**2/3 + 7*i. Solve t(j) = 0.
-2, -1, 2/3
Let d(y) = y. Let r(c) = 4*c**3 - 13*c**2 + 17*c - 2. Let f(k) = -6*d(k) + r(k). Solve f(v) = 0.
1/4, 1, 2
Suppose 4*q = -c + 4*c + 15, -3*q = -3*c - 12. Factor -2*r**2 + 3*r**2 + 1 + r - q*r.
(r - 1)**2
Suppose -3*d + 17 = -0*s + s, -d + 5*s = 5. Suppose 3*h - 6 = -d*u, 4*u + 3*h - 9 = 2*h. Factor 6*y**2 - 3*y**2 - 4*y**u - y**2 + 2*y**4.
2*y**2*(y - 1)**2
Let k(z) be the second derivative of -z**4/20 + 11*z**3/10 + 5*z - 7. Solve k(a) = 0.
0, 11
Let j(h) = 5*h**4 - 55*h**3 + 15*h**2 + 245*h + 155. Let c(n) = 3*n**4 - 28*n**3 + 7*n**2 + 122*n + 78. Let u(w) = -5*c(w) + 2*j(w). Factor u(y).
-5*(y - 4)**2*(y + 1)**2
Let h = -856 - -856. Factor 14/3*w**2 + h - 8/3*w**3 + 4/3*w.
-2*w*(w - 2)*(4*w + 1)/3
Let g(j) be the third derivative of -j**8/168 - j**7/42 - j**6/60 + j**5/15 + j**4/6 + j**3/6 - 15*j**2. Determine q so that g(q) = 0.
-1, -1/2, 1
Let q be (-1)/4 + 252/48. Solve 4 + 3*g**2 + g**2 - q*g**2 - 2*g - g**2 = 0.
-2, 1
Suppose 0 = 7*r - 14*r + 28. Let c(h) = 2*h**2 - 4*h + 2. Let n be c(2). Let 0*b**n + 0*b**2 + 3*b**2 + 16 - 12*b - r = 0. What is b?
2
Let s(o) = 7*o + 4. Let x(z) = -6*z - 4. Let v(h) = -5*s(h) - 6*x(h). Let t be v(0). Find k, given that 0*k**2 + 0*k + 2*k - 4*k**2 + t - 2*k**3 = 0.
-2, -1, 1
Suppose -5*b + 2*u = -31, 0 = -4*b + b - 5*u. Let n(r) = b*r**2 - 6 + r**2 + 3*r + r + r. Let t(o) = 5*o**2 + 4*o - 5. Let v(x) = 4*n(x) - 5*t(x). Factor v(a).
-(a - 1)*(a + 1)
Let o(f) be the third derivative of 0*f - 6*f**2 + 0*f**3 + 0*f**4 + 0 - 1/210*f**5. Find n such that o(n) = 0.
0
Let r(m) be the second derivative of 0*m**2 - 9/20*m**5 - 9/2*m**3 - 3*m + 0 - 9/4*m**4 - 1/30*m**6. Factor r(q).
-q*(q + 3)**3
Suppose 2*g - t - 47 + 129 = 0, -16 = -4*t. Let v be 0 - (3 + g/12). What is y in 1/2*y - 1/4 - v*y**2 = 0?
1
Suppose 0 = 5*s + 5*b, -2*s + 2*b - 9 = -7*s. Find v, given that 1/3*v**4 - 1/3*v**2 + 0*v**s + 0*v + 0 = 0.
-1, 0, 1
Let c(k) be the second derivative of 0*k**4 + 0 + 1/42*k**7 + 1/15*k**6 + 1/20*k**5 + 0*k**3 + 0*k**2 + 2*k. Solve c(y) = 0 for y.
-1, 0
Let w(d) be the first derivative of 2*d**6/5 + 27*d**5/25 + 9*d**4/10 + d**3/5 + 4. Factor w(h).
3*h**2*(h + 1)**2*(4*h + 1)/5
Let o be 24/(-16) + 6/4. Let n(r) be the third derivative of 0*r**3 + 0*r**5 + 1/210*r**7 + 1/120*r**6 - 3*r**2 + 0 + o*r**4 + 0*r. Factor n(f).
f**3*(f + 1)
Let k(t) = -4*t - 1. Let i be k(-1). Suppose -18*f**3 - 40*f**2 - 21*f**3 - 15*f - 7*f**5 + 3*f**3 - 14*f**i - 30*f**4 - 2 = 0. Calculate f.
-1, -2/7
Let p(u) be the second derivative of 1/50*u**6 + 7*u + 0*u**4 + 3/100*u**5 + 0*u**3 + 0 + 0*u**2. Determine d so that p(d) = 0.
-1, 0
Let i = 9 + -3. Let p(o) be the third derivative of 1/15*o**5 - o**2 + 0*o**3 + 0*o + 1/20*o**i + 0 - 1/12*o**4. Factor p(n).
2*n*(n + 1)*(3*n - 1)
Suppose -27 = -4*l - k, 5*l = 3*l - 4*k + 24. Let n be 1/(((-2)/l)/(-1)). Factor -g**2 + 2*g**3 + 0*g**n + 0*g**2 - g**3.
g**2*(g - 1)
Let w(r) = 2*r**4 + 2*r**3 - 2*r**2 - 9*r. Let t(x) = -x**4 - x**3 + x**2 + 5*x. Let q(b) = -7*t(b) - 4*w(b). Factor q(z).
-z*(z - 1)*(z + 1)**2
Let c(l) = -2*l**3 + 13*l**2 - 8*l - 3. Let i(g) = -7*g**3 + 38*g**2 - 23*g - 8. Let q(j) = -8*c(j) + 3*i(j). Factor q(d).
-5*d*(d - 1)**2
Let x(a) be the second derivative of -a**8/3360 - a**7/1260 + a**6/360 + a**5/60 + 5*a**4/12 + 6*a. Let y(v) be the third derivativ