+ 5*z(m). Factor k(q).
2*(q + 2)**2
Let b(s) be the first derivative of -7*s**6/3 + 2*s**5 + 9*s**4/2 - 10*s**3/3 - 2*s**2 + 9. Suppose b(h) = 0. Calculate h.
-1, -2/7, 0, 1
Let q = 5807 + -23093/4. Let v = 34 - q. Factor 1/4*s**2 - 1/2 - v*s.
(s - 2)*(s + 1)/4
Suppose -6 = -6*c - 6. Solve c + 0*z**3 + 1/3*z**4 - 1/3*z**2 - 1/6*z**5 + 1/6*z = 0 for z.
-1, 0, 1
Let j(y) be the second derivative of y**6/6 - 5*y**4/12 + 15*y. Suppose j(d) = 0. What is d?
-1, 0, 1
Factor 0*o**3 + 0*o + 1/3*o**2 - 1/3*o**4 + 0.
-o**2*(o - 1)*(o + 1)/3
Let f(k) = -4*k - 4*k**2 + 3*k**2 + 3*k. Let w(n) = -10*n**2 - 14*n. Let l(q) = -12*f(q) + w(q). Factor l(c).
2*c*(c - 1)
Let g(p) be the first derivative of p**6/12 + p**5/10 - p**4/4 - p**3/3 + p**2/4 + p/2 - 1. Suppose g(c) = 0. What is c?
-1, 1
Let z be 4/22 - 124/(-44). Suppose z*f = 4*f - 3. Factor 1/4*i**5 + 1/4 + 1/4*i**4 + 1/4*i - 1/2*i**2 - 1/2*i**f.
(i - 1)**2*(i + 1)**3/4
Let -1/2*h**2 + 1/2*h + 3 = 0. Calculate h.
-2, 3
Suppose -3 = 3*w + 6, 0 = 5*x - 4*w - 22. Suppose -x*f + 10 = m - 4*f, -m = -4*f - 18. Determine t so that 4*t**3 + 0*t**2 - m*t**2 - 6*t**3 = 0.
-1, 0
Suppose -10 = 2*c - 7*c. Let o = c - -2. Let s**3 + 0 - 1/2*s**o - 1/2*s**2 + 0*s = 0. Calculate s.
0, 1
Suppose -3*t + 0*p + 5 = p, -4*t = 5*p - 25. Let m(s) be the first derivative of 4/21*s**3 + t*s - 1/7*s**2 + 1 - 1/14*s**4. Factor m(v).
-2*v*(v - 1)**2/7
Factor 8/3*c**2 - 2/3*c**5 - 4/3*c**4 - 8/3*c + 0 + 2*c**3.
-2*c*(c - 1)**2*(c + 2)**2/3
Let g(a) be the second derivative of 5/8*a**3 + 0 + 1/8*a**2 + 7*a + 25/16*a**4 + 25/16*a**5. Let g(v) = 0. What is v?
-1/5
Let w(k) = 4*k**4 - 19*k**3 + 45*k**2 - 32*k + 8. Let t(y) = 4*y**4 - 18*y**3 + 46*y**2 - 32*y + 8. Let j(i) = -3*t(i) + 4*w(i). Factor j(g).
2*(g - 2)**2*(g - 1)*(2*g - 1)
Let h = -1581 - -4699/3. Let b = -14 - h. Factor 2/3*l - 2/3*l**4 - b*l**3 + 0 + 2/3*l**2.
-2*l*(l - 1)*(l + 1)**2/3
Suppose -3*b - 2 - 3/2*b**2 - 1/4*b**3 = 0. What is b?
-2
Let c = 12 + -8. Let q(z) be the second derivative of 2*z**2 + 7/3*z**3 + 0 + 1/2*z**5 + 3*z + 3/2*z**c + 1/15*z**6. Let q(b) = 0. Calculate b.
-2, -1
Find q, given that 27*q**5 - 8*q**2 + 4*q**5 + 6*q**5 + 53*q**5 - 34*q**4 - 48*q**3 = 0.
-2/5, -2/9, 0, 1
Let y(n) be the first derivative of 0*n + 1/4*n**2 - 1/6*n**3 + 6. Factor y(c).
-c*(c - 1)/2
Let w(s) be the third derivative of -s**5/240 + s**4/24 - 13*s**2. Solve w(m) = 0.
0, 4
Let n = 1415/9 + -157. Determine d so that 2/9*d**2 - n - 8/9*d**3 + 8/9*d = 0.
-1, 1/4, 1
Let j(y) = -3*y**3 + 24*y**2 - 21*y - 5. Let b(o) = 5*o**3 - 36*o**2 + 31*o + 7. Let g(r) = -5*b(r) - 7*j(r). Factor g(k).
-4*k*(k - 2)*(k - 1)
Let o(i) = 0*i - 5*i + 3*i + i - 1. Let r be o(-3). Solve 1/3*x**r + 0 + 0*x + 2/3*x**3 + 1/3*x**4 = 0.
-1, 0
Let v(n) = 20*n**4 + 105*n**3 + 70*n**2 + 15*n - 15. Let s(i) = -3*i**4 - 15*i**3 - 10*i**2 - 2*i + 2. Let j(b) = -15*s(b) - 2*v(b). Factor j(u).
5*u**2*(u + 1)*(u + 2)
Let l = -32 + 32. Let z(j) be the third derivative of 0 + 0*j**3 + 1/420*j**7 + l*j - 1/120*j**6 + 2*j**2 + 1/120*j**5 + 0*j**4. Factor z(b).
b**2*(b - 1)**2/2
Let t = 3 + -3. Let u be (12/42)/(1 + 6/(-8)). Find w such that t - u*w**3 + 0*w + 6/7*w**4 + 2/7*w**2 = 0.
0, 1/3, 1
Let b(g) be the second derivative of g**7/84 + g**6/20 - g**5/8 - 9*g**4/8 - 8*g**3/3 - 3*g**2 - 32*g. Find l, given that b(l) = 0.
-2, -1, 3
Factor 5*n - 5/3*n**2 + 20/3.
-5*(n - 4)*(n + 1)/3
Let l(d) be the first derivative of 11 + 0*d**2 - 2/9*d**3 + 0*d + 2/15*d**5 - 1/18*d**6 + 1/12*d**4. Determine m, given that l(m) = 0.
-1, 0, 1, 2
Let r(d) = -d**2 - 5*d - 4. Let x(u) = -u - 1. Let w(n) = r(n) - 3*x(n). Solve w(l) = 0.
-1
Let h(x) be the third derivative of -x**8/1848 - x**7/1155 + x**6/330 + x**5/165 - x**4/132 - x**3/33 + 3*x**2. Solve h(z) = 0.
-1, 1
Let f(m) be the second derivative of 3*m**5/160 - 3*m**4/32 + m**3/8 - 31*m. Solve f(y) = 0 for y.
0, 1, 2
Let h(s) be the second derivative of s**7/420 - s**6/240 - 3*s**2/2 + s. Let u(z) be the first derivative of h(z). Find d, given that u(d) = 0.
0, 1
Let l(q) be the second derivative of 1/3*q**4 + 0*q**2 + 2/3*q**3 + 4*q + 0. Determine w, given that l(w) = 0.
-1, 0
Let f be (-45)/(-25) - (-4)/20. Factor -8/3*j - 8/9 - 26/9*j**f - 2/9*j**4 - 4/3*j**3.
-2*(j + 1)**2*(j + 2)**2/9
Let g be 6/9 - 10/(-3). Let w = -4 - -6. Factor -2*r - 3*r**2 + 1 + g*r**w + 0.
(r - 1)**2
Let i(j) be the second derivative of -j**4/102 - 14*j. Factor i(q).
-2*q**2/17
Let 50/3 - 20/3*a + 2/3*a**2 = 0. What is a?
5
Let x(b) = -14*b - 23. Let i be x(-2). Let y(l) be the second derivative of 0 - l + 1/3*l**3 + 1/3*l**4 + 0*l**2 + 1/10*l**i. Suppose y(k) = 0. What is k?
-1, 0
Let x be ((-5 + 3)*-2)/(-1). Let j = x + 7. Find v such that v**2 + 0*v**2 + 3*v**3 - 3*v**4 + 5*v**2 - 3*v**2 - j*v = 0.
-1, 0, 1
Let i(v) = -v**2 - 7*v + 10. Let b be i(-8). Let c be (b - 5/(-4)) + -3. Determine y so that 0 + 1/4*y - c*y**2 = 0.
0, 1
Let l(v) be the second derivative of v**5/40 + v**4/8 + v**3/6 + 4*v. Factor l(x).
x*(x + 1)*(x + 2)/2
Let x(p) be the third derivative of -5*p**8/1344 + 5*p**7/168 - 7*p**6/96 + p**5/16 - p**2 - 7*p. Solve x(q) = 0 for q.
0, 1, 3
Let b(q) be the second derivative of 1/21*q**4 + 0*q**2 + 0 + 1/70*q**5 + 2*q + 0*q**3. Solve b(u) = 0.
-2, 0
Let f be 4 + ((-70)/20 - 2/4). Let o(i) be the second derivative of 2/27*i**3 + 1/135*i**6 - 1/45*i**5 + 0*i**2 + 2*i - 1/54*i**4 + f. Factor o(b).
2*b*(b - 2)*(b - 1)*(b + 1)/9
Suppose 0 = -2*k - 3*k + 20. Determine s so that -s**2 - s + k*s**2 - 4*s**2 = 0.
-1, 0
Let t(m) be the second derivative of m**4/4 - m**3/2 + 3*m**2/8 - 15*m. Find d such that t(d) = 0.
1/2
Let l(p) = -2*p**2 - p + 6. Let r be l(0). Let y be (r/15)/((-4)/(-20)). Factor -2/3 + 2*f - 2*f**y + 2/3*f**3.
2*(f - 1)**3/3
Let o(q) be the third derivative of -q**8/168 + q**7/105 + 5*q**2. What is a in o(a) = 0?
0, 1
Let j(o) = -o**3 - 4*o**2 - 11*o + 16. Let y(l) = -2*l**3 - 13*l**2 - 32*l + 47. Let p(s) = -17*j(s) + 6*y(s). What is d in p(d) = 0?
-1, 1, 2
Let s = -107 - -107. Let t(o) be the third derivative of s*o + 0*o**4 + 1/350*o**7 + 1/25*o**5 + 0*o**3 + 1/50*o**6 + 0 - 2*o**2. Determine l so that t(l) = 0.
-2, 0
Let f(l) be the first derivative of -l**5/15 + l**4/3 + l**3/9 - 2*l**2/3 - 7. Factor f(h).
-h*(h - 4)*(h - 1)*(h + 1)/3
Let u(c) be the first derivative of c**8/1680 + c**7/1050 - c**6/600 - c**5/300 - c**2/2 - 2. Let i(k) be the second derivative of u(k). Solve i(o) = 0 for o.
-1, 0, 1
Let d(a) = -a**2 + 2*a + 4. Let g(n) = n**3 - 10*n**2 - n + 10. Let x be g(10). Let u be d(x). Factor 1/3*f**2 + 0 - 1/3*f + 1/3*f**3 - 1/3*f**u.
-f*(f - 1)**2*(f + 1)/3
Let s(x) = -3*x**4 - 5*x**3 + 8*x**2 + 11. Let k(m) = m**4 + 2*m**3 - 3*m**2 - 4. Let d(b) = 11*k(b) + 4*s(b). Factor d(l).
-l**2*(l - 1)**2
Suppose -w - 5*v - 7 = 0, w - 3*v - 3 = -2. Let f be -3 + (1 - w/1). Factor 0 - 2/3*c**3 + 2/3*c + f*c**2.
-2*c*(c - 1)*(c + 1)/3
Let i(b) be the first derivative of -b**6/33 + 2*b**5/55 + 3*b**4/11 - 28*b**3/33 + b**2 - 6*b/11 - 10. Factor i(y).
-2*(y - 1)**4*(y + 3)/11
Let g = -37 - -19. Let q = -18 - g. Determine f so that -24/5*f**3 - 128/5*f**5 + 0*f + 96/5*f**4 + 2/5*f**2 + q = 0.
0, 1/4
Let w(q) be the third derivative of 0*q**3 + 0*q + 4*q**2 + 1/120*q**5 - 1/24*q**4 + 0 + 1/240*q**6. Find j such that w(j) = 0.
-2, 0, 1
Let h(l) be the second derivative of l**5/20 - l**4/4 + l**3/2 - l**2/2 - 8*l. Solve h(d) = 0 for d.
1
Let o(s) be the third derivative of s**7/630 + s**6/360 - s**5/180 - s**4/72 - 8*s**2. Factor o(z).
z*(z - 1)*(z + 1)**2/3
Let g = 14 + -14. Let j(f) be the third derivative of -f**2 + g*f**3 + 0 - 1/24*f**4 - 1/60*f**6 + 0*f - 1/20*f**5. Suppose j(l) = 0. Calculate l.
-1, -1/2, 0
Let y = 147/121 + 64242/605. Let m = -107 + y. Factor m*r**2 - 4/5 + 2/5*r.
2*(r - 1)*(r + 2)/5
Let y(s) = 6*s**4 - 5*s**3 + 3*s**2 + 5*s + 1. Let m(d) = 18*d**4 - 16*d**3 + 8*d**2 + 16*d + 2. Let h(v) = 5*m(v) - 14*y(v). Factor h(z).
2*(z - 1)**2*(z + 1)*(3*z - 2)
Let h(t) be the third derivative of -t**8/840 - t**7/210 - t**6/180 - t**3/6 - t**2. Let j(x) be the first derivative of h(x). Factor j(l).
-2*l**2*(l + 1)**2
Let i = -1 + 7. Suppose 2 = -2*g + i. Suppose 2*r**3 - 2*r - 4*r**3 - 5*r**2 + r**g = 0. Calculate r.
-1, 0
Let -4*n + 14*n**2 - 25 + 51 - 26 = 0. 