 - 3*q**5 - 37*q**2 + 4*q**5 + 5*q**3 = 0. What is q?
0, 1, 2
Let v be (0 + (-8)/(-14))/((-15)/(-35)). Find q, given that 0*q + v*q**2 + 2/3*q**3 - 4/3*q**4 + 0 - 2/3*q**5 = 0.
-2, -1, 0, 1
Let v(p) = -p**2 - p - 1. Let q(k) = k**2 + 4*k + 1. Let t(y) = y**3 + y**2 - y + 1. Let x be t(-2). Let l(c) = x*q(c) - 2*v(c). Solve l(o) = 0.
1
Let f(y) be the third derivative of 1/6*y**3 - 1/336*y**8 + 0*y - 1/60*y**6 + 1/8*y**4 + 0 - 1/70*y**7 + 1/30*y**5 - 4*y**2. Find g, given that f(g) = 0.
-1, 1
Let k(r) be the first derivative of 1/3*r**3 + 0*r + 1/2*r**2 + 6. Factor k(o).
o*(o + 1)
Let a(x) = 11*x**2 - 3*x - 1. Let b(d) = -6*d**2 + 2*d. Let n be ((-14)/(-4))/(3/(-6)). Let c(k) = n*b(k) - 4*a(k). Factor c(h).
-2*(h - 1)*(h + 2)
Suppose -63*w = -62*w. Let t(q) be the third derivative of 0*q + 1/24*q**4 - 1/210*q**7 + w - 1/20*q**5 + 3*q**2 + 1/40*q**6 + 0*q**3. Solve t(m) = 0 for m.
0, 1
Let k(w) be the first derivative of w**4/10 - 3*w**2/5 + 4*w/5 + 7. Solve k(b) = 0.
-2, 1
Let d = -10 + 14. Let n be ((-2)/d)/((-45)/36). Solve 0*q**2 + 2/5*q + 0 - n*q**3 = 0.
-1, 0, 1
Suppose 1/9*f**4 + 4/9 + 2/3*f**3 + 13/9*f**2 + 4/3*f = 0. What is f?
-2, -1
Let y(z) be the third derivative of -z**5/15 + z**4/2 - 4*z**3/3 - 4*z**2. Suppose y(k) = 0. Calculate k.
1, 2
Let f = 1906/3 + -24862/39. Let z = f - -110/39. Factor 4/3 + z*m**3 + 0*m**2 - 2*m.
2*(m - 1)**2*(m + 2)/3
Let q(a) be the second derivative of a**7/42 - a**5/20 - 15*a. Factor q(b).
b**3*(b - 1)*(b + 1)
Let x(o) be the second derivative of 6*o**2 + 25/4*o**4 + 10*o**3 + o + 0. Solve x(s) = 0.
-2/5
Factor -1/8*c**2 + 0 - 11/8*c.
-c*(c + 11)/8
Let j be 7 - -9*1/(-3). Let c(t) be the first derivative of 0*t**2 + 0*t + 2/3*t**3 + 1/3*t**6 - 2/5*t**5 - 3 - 1/2*t**j. Factor c(o).
2*o**2*(o - 1)**2*(o + 1)
What is g in 2 + 3/2*g**2 + 3*g + 1/4*g**3 = 0?
-2
Find m, given that 7*m**2 - 30*m - 2 + 2 + 18*m**2 + 5 = 0.
1/5, 1
Factor 2/13*w**4 - 8/13*w**3 + 12/13*w**2 - 8/13*w + 2/13.
2*(w - 1)**4/13
Let u(t) be the second derivative of 0*t**3 + 0 - 7/90*t**6 - 4*t + 1/9*t**4 - 1/5*t**5 + 0*t**2. Solve u(g) = 0.
-2, 0, 2/7
Suppose v + 14 = 4*r, -4 = 11*v - 9*v - 2*r. Factor 0 + 1/3*b + 1/3*b**v.
b*(b + 1)/3
Let m be 0/2 + (-14)/(-1). Let f be (-28)/(-49)*m/20. Factor -18/5*d**3 - f - 14/5*d - 6*d**2.
-2*(d + 1)*(3*d + 1)**2/5
Let h(t) be the third derivative of -t**10/30240 - t**9/5040 - t**8/2240 - t**7/2520 - t**4/12 + 2*t**2. Let f(o) be the second derivative of h(o). Factor f(r).
-r**2*(r + 1)**3
Let n be 1 - 4/(8/(-6)). Suppose -5*l = -n*l - 5*q - 20, 0 = l + 2*q + 8. Factor -4*i**3 + 6*i**3 + 2*i**4 + l*i**4 - 4*i**4.
-2*i**3*(i - 1)
Let t(v) = -v**2 + v. Let m(b) = -4*b**2 + 2*b + 2. Let y(n) = -2*m(n) + 12*t(n). Let y(q) = 0. What is q?
1
Let h(c) be the second derivative of -1/27*c**3 - c**2 + 0 - 2/135*c**5 - c + 5/108*c**4. Let u(m) be the first derivative of h(m). Factor u(a).
-2*(a - 1)*(4*a - 1)/9
Let k(g) be the first derivative of g**6/75 - g**4/15 + g**2/5 - 6*g - 2. Let w(z) be the first derivative of k(z). Find c, given that w(c) = 0.
-1, 1
Find v such that -4/3*v**2 + 8/3*v + 0 - 4*v**3 = 0.
-1, 0, 2/3
What is m in -2*m - 8*m**3 + 6*m - 39*m**5 + 43*m**5 = 0?
-1, 0, 1
Let x(z) be the second derivative of 0 - 1/72*z**4 + 0*z**3 - 5*z + 1/120*z**5 + 0*z**2. Factor x(m).
m**2*(m - 1)/6
Let c(x) be the first derivative of x**5/390 + x**4/39 + 4*x**3/39 - x**2/2 + 6. Let q(u) be the second derivative of c(u). Find k such that q(k) = 0.
-2
Factor -46*b**3 - 2*b**2 + 11*b**3 + 16*b**3 + 17*b**3.
-2*b**2*(b + 1)
Suppose -3 = -f, -3*f - 12 = -5*d - 2*f. Determine p so that 0*p - 3/2*p**2 + 0*p**d + 3/4 + 3/4*p**4 = 0.
-1, 1
Let q be 26/(-42) + (-10)/(-15). Let m(h) be the second derivative of 0*h**3 + 0 + 0*h**2 + 1/15*h**6 - q*h**7 + 1/10*h**5 - 1/6*h**4 - 2*h. Factor m(d).
-2*d**2*(d - 1)**2*(d + 1)
Let r(p) be the second derivative of 2*p - 2/15*p**3 - 1/30*p**4 - 1/5*p**2 + 0. Factor r(u).
-2*(u + 1)**2/5
Let d be (11/(-286))/(4/(-48)). Solve -8/13*r - 2/13*r**2 - d = 0.
-3, -1
Let m(w) = w**2 + w. Let r(q) = q. Let l(u) = 3*m(u) - 4*r(u). What is h in l(h) = 0?
0, 1/3
Let i(s) be the third derivative of -1/90*s**5 + 1/9*s**4 + 0*s + 6*s**2 + 0 - 1/3*s**3. Factor i(u).
-2*(u - 3)*(u - 1)/3
Let g(i) be the first derivative of 1 - 2/5*i**5 + 1/6*i**6 + 1/4*i**4 + 0*i**3 + 0*i + 0*i**2. Suppose g(v) = 0. Calculate v.
0, 1
Let q(m) = -3*m**3 - 10*m**2 + 9*m - 1. Let x(k) = -k**3 - k + 1. Let d = 10 + -9. Let y(p) = d*q(p) - 5*x(p). Factor y(f).
2*(f - 3)*(f - 1)**2
Suppose -10 + 16 = 3*x. Suppose -x*v + 0*v + 10 = 0. Find y, given that -2/3*y**v + 8/3*y**2 - 2/3*y + 0 - 4*y**3 + 8/3*y**4 = 0.
0, 1
Let z(l) be the second derivative of -l**7/210 - l**6/96 - l**5/240 - l**2/2 + 3*l. Let t(v) be the first derivative of z(v). Factor t(h).
-h**2*(h + 1)*(4*h + 1)/4
Let d be (-38)/(-8) - (-2)/8. Let n(a) be the third derivative of -a**2 - 1/210*a**7 + 0*a**3 + 0 + 1/60*a**d + 1/120*a**6 - 1/24*a**4 + 0*a. Factor n(l).
-l*(l - 1)**2*(l + 1)
Let c(g) be the first derivative of -g**2/2 - 5*g + 4. Let w be c(-10). Factor 0*n**2 + 1/5*n**w - 2/5*n**3 + 0*n**4 + 1/5*n + 0.
n*(n - 1)**2*(n + 1)**2/5
Let z(b) be the second derivative of -7*b - 1/4*b**4 + 3/7*b**2 + 5/14*b**3 + 0. Factor z(o).
-3*(o - 1)*(7*o + 2)/7
Suppose 0 = -11*x + 6*x + 20. Suppose 2*i**2 - i**3 - 8*i + x*i - 2*i**4 + 5*i**3 = 0. What is i?
-1, 0, 1, 2
Let w(i) be the second derivative of -i**5/190 + i**4/114 + i**3/57 - i**2/19 + 2*i. Solve w(s) = 0.
-1, 1
Let y(a) = a**2 - 11*a - 12. Let o be y(12). Factor 6*m**3 + o + 0*m + 3/2*m**2.
3*m**2*(4*m + 1)/2
Suppose -5*a - 1 = -11. Suppose 0 = 2*u + 2 - 6. Suppose -a + 4*h + 0*h - h**2 - h**u = 0. What is h?
1
Let j = 1003/6 - 167. Find u such that 1/6*u + 1/6*u**2 - 1/6 - j*u**3 = 0.
-1, 1
Let m(l) be the second derivative of -l**5/90 + l**4/54 + l. Factor m(x).
-2*x**2*(x - 1)/9
Let z(p) be the first derivative of p**4/30 - 8*p**3/45 - 7. Factor z(f).
2*f**2*(f - 4)/15
Suppose 41*d**2 - 240*d - 60*d**2 - 255*d**2 - 196*d**3 - 230*d**2 - 32 = 0. What is d?
-2, -2/7
Let w(g) be the second derivative of -g**5/4 - 5*g**4/6 - 14*g. Let w(m) = 0. Calculate m.
-2, 0
Let j(a) be the first derivative of 4 + 0*a**2 + 1/18*a**6 + 0*a**4 + 0*a**3 + 0*a + 1/15*a**5. Factor j(b).
b**4*(b + 1)/3
Let h = 4/51 + -1/51. Let m = 27/119 + h. Factor 2/7*d**2 - 4/7*d + m.
2*(d - 1)**2/7
Let x(a) be the second derivative of 2/135*a**6 + 0*a**3 + 0*a**4 + 0*a**5 + 0*a**2 - 1/27*a**7 + 0 - 2*a. Factor x(u).
-2*u**4*(7*u - 2)/9
Let r(s) be the first derivative of 1 + 1/24*s**3 + 0*s**2 - 1/48*s**4 - s. Let p(l) be the first derivative of r(l). Find d such that p(d) = 0.
0, 1
Let i(q) = q**2 - 3*q - 1. Let m be i(4). Let -8 + m - 13 + 18*p**4 + 28*p**2 - 24*p + 2 + 54*p**3 = 0. Calculate p.
-2, -1, -2/3, 2/3
Let p(b) be the second derivative of -3*b**5/20 + b**4/4 + b**3 + 9*b. Factor p(h).
-3*h*(h - 2)*(h + 1)
Let p(v) be the second derivative of -v**6/120 - v**5/20 - 5*v**4/48 - v**3/12 - 4*v. Factor p(t).
-t*(t + 1)**2*(t + 2)/4
Let j be (-512)/(-168) - 1*3. Let x = j - -9/7. Find c such that 2*c**3 - 2*c + x - 4/3*c**2 = 0.
-1, 2/3, 1
Let c be 3/(-2)*2 - -6. Let -3*w**4 - 6*w**2 + 4*w**4 + 8*w + w**4 + 8 - 4*w**c = 0. What is w?
-1, 2
Factor 2*k**2 - 60*k**2 - 4*k**4 - 14*k**2 + 32*k**3 + 108.
-4*(k - 3)**3*(k + 1)
Let s(v) = -2*v**2 + v + 4. Let z(x) = 3*x**2 - 3*x - 8. Let m(y) = -5*s(y) - 3*z(y). Factor m(r).
(r + 2)**2
Let s be 3/6*1*4. Factor -3*d + 0*d - d**5 + 4*d**3 + s*d**2 - 2 + 0*d**2 + 0*d.
-(d - 2)*(d - 1)*(d + 1)**3
Let w(z) = -5*z**3 + 8*z**2 + 9*z. Let s(g) = g**2 + g. Let a(y) = 6*s(y) - w(y). Factor a(q).
q*(q - 1)*(5*q + 3)
Let b(i) be the third derivative of -i**9/7560 + i**4/24 - 3*i**2. Let c(p) be the second derivative of b(p). Suppose c(y) = 0. What is y?
0
Suppose 0*z - z = -4. Suppose -z*s**2 - 4*s**5 + 6*s**5 + 2*s + 4*s**4 - 4*s = 0. What is s?
-1, 0, 1
Let v be -10*4/(-60)*(-9)/(-2). Suppose 4/11*i**v + 10/11*i**4 - 10/11*i**2 - 4/11*i + 0 = 0. What is i?
-1, -2/5, 0, 1
Let h(a) = 10*a. Let z(g) = g**2 + 1. Let t(x) = -h(x) + 5*z(x). Let t(i) = 0. Calculate i.
1
Suppose -5*n = -4*n + 4. Let h(x) = -28*x**2 + 8*x + 4. Let i(y) = -29*y**2 + 9*y + 5. Let b(c) = n*i(c) + 5*h(c). Facto