 a - 1/5*a**6 + 1/2*a**3 + 0 + 1/2*a**4 - 1/14*a**7. What is z in i(z) = 0?
-1, 0, 1
Let z = 15 - 13. What is n in 9*n + 20*n**z - 12 + 16*n**2 + 4 + 19*n = 0?
-1, 2/9
Factor 2/5 + 6/5*x + 2/5*x**3 + 6/5*x**2.
2*(x + 1)**3/5
Let 14*n - 35*n + n**2 + 24*n = 0. Calculate n.
-3, 0
Let d = 2 - 0. Determine w so that 0*w + 0*w - 3*w + 2 + w**d + 6*w = 0.
-2, -1
Suppose 0*m = 4*m - 8. Suppose -2*w**3 - 12*w**m + w + w + 8*w**4 + 4*w**2 = 0. Calculate w.
-1, 0, 1/4, 1
Let c(r) = 8*r**2 + 11*r - 2*r - 4*r**2 - 5. Let p(w) = 2*w**2 + 5*w - 3. Let v(k) = 3*c(k) - 5*p(k). Determine x so that v(x) = 0.
-1, 0
Let f(z) be the second derivative of -z**4/4 - 3*z**3/2 + 6*z**2 - z. Find q such that f(q) = 0.
-4, 1
Let i(y) be the first derivative of -1/9*y**3 + 2/3*y + 3 + 1/6*y**2. Factor i(h).
-(h - 2)*(h + 1)/3
Let t = 9/19 - -1/38. Suppose t - 11/4*s**2 - 9/4*s = 0. What is s?
-1, 2/11
Let u(f) be the first derivative of 0*f**2 - 7/10*f**4 - 1/5*f**6 - 4/15*f**3 + 2 - 16/25*f**5 + 0*f. Determine q so that u(q) = 0.
-1, -2/3, 0
Let b(q) be the second derivative of q**8/560 + q**7/280 - q**6/120 - q**5/40 + 5*q**3/6 - 4*q. Let u(i) be the second derivative of b(i). Factor u(j).
3*j*(j - 1)*(j + 1)**2
Let s(t) be the second derivative of -t**4/54 + t**2/9 - 19*t. Let s(v) = 0. Calculate v.
-1, 1
Let u(h) = h**4 - 4*h**3 + 4*h**2 + 3. Let z(j) = -4*j**4 + 16*j**3 - 16*j**2 - 11. Let b(s) = -22*u(s) - 6*z(s). What is y in b(y) = 0?
0, 2
Suppose 3*r + 4*j + 2 = 0, -2*j = 2*r - 6*j - 12. Solve 1/2*p**r + 0 + 0*p = 0 for p.
0
Let c(q) be the second derivative of -q**4/4 + q**3 - 3*q**2/2 + 2*q. Factor c(u).
-3*(u - 1)**2
Solve -15/7*h**3 - 3/7*h**2 + 24/7*h + 3/7*h**5 - 12/7 + 3/7*h**4 = 0.
-2, 1
Suppose 3 = 2*s - 3. Factor -9*j - 6*j - 1 + 4 + s - 21*j**2.
-3*(j + 1)*(7*j - 2)
Let p = 16 + 0. Let r(v) be the first derivative of -27/2*v**4 + 36*v**3 - 36*v**2 + 2 + p*v. Factor r(a).
-2*(3*a - 2)**3
Let u = -2 - -4. Let f be (-4)/2 - (0 - 2). Suppose 2*x**2 + f*x**3 - 2*x**5 + u*x**3 + 0*x**5 - 2*x**4 = 0. Calculate x.
-1, 0, 1
Let q be 5/20 + (-126)/8. Let w = -15 - q. Determine f so that w + f**2 - 5/4*f - 1/4*f**3 = 0.
1, 2
Let s be (273/14)/13 + 1/2. Determine k so that 2/7*k**s - 4/7 + 2/7*k = 0.
-2, 1
Let h(n) = -2*n**2 + n**2 + 0*n - n. Let m(r) = -5*r**2 - 6*r - 1. Let b(u) = 6*h(u) - m(u). Factor b(o).
-(o - 1)*(o + 1)
Let t(d) be the second derivative of d**7/1470 + d**6/420 + d**5/420 + d**2 + 3*d. Let q(f) be the first derivative of t(f). Factor q(c).
c**2*(c + 1)**2/7
Determine t so that 3 - 9*t + 10*t + 9*t**2 - 10*t - 3*t**3 = 0.
1
Let v(h) be the first derivative of -5*h**3/9 + 20*h**2/3 - 35*h/3 - 41. Suppose v(c) = 0. Calculate c.
1, 7
Let d = -9 + 13. Let k(n) be the second derivative of 0*n**d + 0*n**3 - 1/20*n**5 + 0 + 2*n + 0*n**2 - 1/30*n**6. Let k(y) = 0. What is y?
-1, 0
Suppose 0*l + 2*l = 3*l. Let y(c) be the first derivative of -1/5*c**5 + 0*c**3 + 2 + 0*c + 0*c**2 + l*c**4 + 1/6*c**6. Factor y(f).
f**4*(f - 1)
Let r(m) = 7*m**2 + 6*m - 1. Let z(t) be the third derivative of -13*t**5/60 - 11*t**4/24 + t**3/3 + 5*t**2. Let c(x) = -10*r(x) - 6*z(x). Factor c(p).
2*(p + 1)*(4*p - 1)
Suppose -g = -2*g. Let o(z) be the first derivative of 0*z**2 - 1/5*z**5 - 2 + g*z + 1/4*z**4 + 0*z**3. Determine x so that o(x) = 0.
0, 1
Find f, given that 3/2*f**4 + 9/4*f - 3/4 - 9/4*f**3 - 3/4*f**2 = 0.
-1, 1/2, 1
Let v be ((-30)/(-35))/((-12)/(-56)). Find s such that 0 - 1/3*s**v - 1/3*s**2 + 0*s - 2/3*s**3 = 0.
-1, 0
Let y be (-3)/((-6)/(-12) - 5). Let d be (4/(-6))/(4/(-10)). Factor -4/3 - y*m - 1/2*m**3 + d*m**2.
-(m - 2)**2*(3*m + 2)/6
Suppose 0 = -5*z + 10 + 20. Find s such that 2*s**2 + 6 - z = 0.
0
Let v be (0 + -2)*-1 + 0. Suppose -3*c = v*s + 5, -5*c - 25 = -10. Factor -s*o**3 + o**2 - 2*o**4 - 2*o**2 + o**4.
-o**2*(o + 1)**2
Let b(f) be the third derivative of -3*f**7/350 - f**6/20 - 37*f**5/300 - f**4/6 - 2*f**3/15 + f**2. Solve b(i) = 0 for i.
-1, -2/3
Let f(j) = 2*j**5 - 2*j**4 + 2*j**2 + 2. Let r(x) = 6*x**5 - 6*x**4 + 7*x**2 + 7. Let q(c) = -14*f(c) + 4*r(c). Factor q(a).
-4*a**4*(a - 1)
Let b be 357/(-90) - (-7 - -3). Let s(y) be the third derivative of 0*y + 0*y**3 - b*y**5 + 0 + 1/12*y**4 - y**2. Let s(a) = 0. What is a?
0, 1
Let r be 5/14 - 7/21. Let w(t) be the third derivative of -1/420*t**6 + 0*t + 0*t**3 + r*t**4 + 0 - 1/210*t**5 - t**2. Solve w(g) = 0.
-2, 0, 1
Suppose 0 = h - 4 + 1. Factor -1 - 20*m**3 + 19*m**h + 1.
-m**3
Let k(n) be the first derivative of 1/12*n**4 + 2 + 2/3*n**3 + 2*n**2 - 2*n. Let i(m) be the first derivative of k(m). Suppose i(x) = 0. Calculate x.
-2
Let c be ((-2)/4)/((-5)/20). Factor -1/2*y**5 + 0*y + 0 - 1/2*y**4 + 1/2*y**c + 1/2*y**3.
-y**2*(y - 1)*(y + 1)**2/2
Suppose 5*r - 3 = 2. What is n in r - 9*n + 3 - 22*n**2 - 8*n**3 - n = 0?
-2, -1, 1/4
Let o(k) be the first derivative of -k**4/36 + k**3/9 + k**2/2 - k + 6. Let s(h) be the first derivative of o(h). Factor s(n).
-(n - 3)*(n + 1)/3
Suppose 2*i + 4 = -2*i + 2*y, 5*y = -4*i + 10. Let s = 32 + -63/2. Determine q, given that i + 1/2*q**2 + s*q = 0.
-1, 0
Suppose 0 = c - 2*u - 8, u + 16 = 3*c - u. Let f(b) be the second derivative of 1/6*b**c + 3*b + 0 - 4/3*b**3 + 4*b**2. Suppose f(x) = 0. Calculate x.
2
Suppose 0 = 4*z - 12, -2*z - 6 = -4*m. Let l(u) be the first derivative of 0*u + 3 - 3/2*u**4 + 4/3*u**m + 8/15*u**5 - 1/3*u**2. Find f such that l(f) = 0.
0, 1/4, 1
Let i = -55 + 27. Let p be (-18)/6 - 108/i. Factor -2/7*g**2 - 4/7 - p*g.
-2*(g + 1)*(g + 2)/7
Factor -6*b**4 + 6*b**4 + 4*b**5 + 8*b**2 - 4*b - 2*b**4 - 6*b**4.
4*b*(b - 1)**3*(b + 1)
Let x(w) be the first derivative of -1/5*w**5 + 3 + 0*w + 0*w**3 + 0*w**4 + 0*w**2 + 1/6*w**6. Factor x(z).
z**4*(z - 1)
Let j(i) = -i**5 + 7*i**4 - 43*i**3 + 93*i**2 - 92*i + 40. Let f(h) = -h**5 + 8*h**4 - 44*h**3 + 94*h**2 - 93*h + 39. Let z(a) = 4*f(a) - 3*j(a). Factor z(u).
-(u - 3)**2*(u - 2)**2*(u - 1)
Let d(b) be the first derivative of 196/15*b**5 - 9 - 40/3*b**2 - 4/3*b**3 + 16/3*b + 70/3*b**4. Find w such that d(w) = 0.
-1, 2/7
Let z(w) be the first derivative of w**2 - 1/2*w**4 - 2/3*w**3 + 2*w + 3. Factor z(a).
-2*(a - 1)*(a + 1)**2
Let z(n) = 5*n**2 - 70*n + 241. Let s(w) = 20*w**2 - 280*w + 965. Let o(d) = -4*s(d) + 15*z(d). Solve o(f) = 0 for f.
7
Let r(m) = -m + 8. Let c be r(6). Let v(g) be the second derivative of 0*g**c + 2*g + 0 + 3/10*g**5 + 1/6*g**4 - 2/3*g**3. Factor v(a).
2*a*(a + 1)*(3*a - 2)
Let j(x) = 3*x**2 - 27*x - 26. Let g(z) = -6*z**2 + 54*z + 51. Let i(h) = 4*g(h) + 9*j(h). Factor i(a).
3*(a - 10)*(a + 1)
Let d(z) be the first derivative of 3*z**5/10 - 12. Factor d(v).
3*v**4/2
Let k(n) be the second derivative of n**6/45 - n**5/30 - n**4/18 + n**3/9 + 5*n. Factor k(z).
2*z*(z - 1)**2*(z + 1)/3
Let v(q) be the second derivative of q**4/4 - 6*q**2 + 6*q. Solve v(k) = 0 for k.
-2, 2
Let f be -3 - -5*4/4. Let 0*j + j - f*j + 3*j**2 - j - 1 = 0. Calculate j.
-1/3, 1
Let x be 0*((-20)/8 + 3). Let u be (-5)/(-100) + 9/12. Factor -u*t + 2/5*t**2 + x.
2*t*(t - 2)/5
Let r = 8 - 4. Suppose -2*k + 6*j - 4 = 2*j, 0 = -r*k - 2*j + 12. Factor 4*u**2 + k*u - 5*u**2 - 2*u**2 + 4*u - 3.
-3*(u - 1)**2
Let o(p) be the third derivative of -p**5/20 + p**4/4 + 3*p**2 + 1. Suppose o(u) = 0. Calculate u.
0, 2
Let x = -2 - 3. Let q be x/10 - 1/(-2). Factor 2/3 + 0*w**3 - 4/3*w**2 + 2/3*w**4 + q*w.
2*(w - 1)**2*(w + 1)**2/3
Suppose -11 = -3*j - 2. Let k(x) be the first derivative of -1 - 1/6*x**4 + 1/3*x**2 + 0*x + 0*x**j. Suppose k(t) = 0. Calculate t.
-1, 0, 1
Let n(j) = 5*j**3 - 34*j**2 + 25*j + 250. Let c(b) = -5*b**3 + 35*b**2 - 25*b - 250. Let f(x) = 6*c(x) + 5*n(x). Factor f(a).
-5*(a - 5)**2*(a + 2)
Let l(g) be the third derivative of -g**6/40 + g**5/20 + g**4/4 + 3*g**2. Factor l(r).
-3*r*(r - 2)*(r + 1)
Let k(o) be the second derivative of -1/30*o**6 - 1/20*o**5 + 5/6*o**3 + o**2 + 0 + 1/4*o**4 - 10*o. Factor k(v).
-(v - 2)*(v + 1)**3
Determine y so that 0*y - 2/11*y**4 + 0 - 4/11*y**3 + 2/11*y**5 + 0*y**2 = 0.
-1, 0, 2
Factor 0 - 2/5*b**2 + 4/5*b.
-2*b*(b - 2)/5
Suppose 0*n = n. Let g(s) be the second derivative of 1/25*s**5 + 0*s**2 + n - s + 0*s**3 - 1/75*s**6 - 1/30*s**4. Factor g(w).
-2*w**2*(w - 1)**2/5
Let y be ((-5)/(-75))/(3/10). Let m(d) be the first derivative of -1/3*d**2 +