 + 2*q**2 + 6*q - 3*q**2 + 2 = 0. What is q?
-1, 2
Let t(w) = -3*w**4 - 12*w**3 - 16*w**2 + 12*w + 5. Let g(h) = -h**4 - 4*h**3 - 5*h**2 + 4*h + 2. Let u(c) = 14*g(c) - 4*t(c). Let u(i) = 0. Calculate i.
-2, -1, 1
Let q = 252 - 249. Suppose 4/5*t**q + 2/5 + 0*t**2 - 2/5*t**4 - 4/5*t = 0. Calculate t.
-1, 1
Let q be ((-6)/(-85))/(55/275). Factor q*c**2 - 2/17*c**4 + 0*c**3 - 4/17*c + 0.
-2*c*(c - 1)**2*(c + 2)/17
Let r = -3 - -5. Let -10/11*u**r + 0*u + 0*u**3 + 8/11*u**4 + 2/11 = 0. Calculate u.
-1, -1/2, 1/2, 1
Find s such that -1/3*s**2 - 8/3*s - 16/3 = 0.
-4
Suppose j = -f - 0*f + 2, 5*f + 14 = 3*j. What is o in 1/2*o**5 + 2/3*o**j - o**2 - 1/3 + 4/3*o**4 - 7/6*o = 0?
-1, -2/3, 1
Suppose 0 = -x + 3*a + 12 + 2, -3*a = 9. Let z = -10 - -13. Factor 3 - l**4 - x*l - 8*l**2 - z + l - 5*l**3.
-l*(l + 1)*(l + 2)**2
Suppose -4*s = -5*k + 12, -3*s - 2*k = -0*s - 14. Let y(t) be the second derivative of 0*t**s - 1/42*t**4 - t + 0*t**3 + 0. Solve y(c) = 0 for c.
0
Factor 12*m**5 + 2*m**3 - 9*m - 28*m**4 - m**3 - 11*m + 24*m**2 + 4 + 7*m**3.
4*(m - 1)**3*(m + 1)*(3*m - 1)
Let c(s) be the first derivative of -5*s**6/3 + 7*s**5 - 45*s**4/4 + 25*s**3/3 - 5*s**2/2 - 5. Factor c(o).
-5*o*(o - 1)**3*(2*o - 1)
Let i(b) be the first derivative of 2 - 1/240*b**5 + 3/2*b**2 - 1/32*b**4 - 1/12*b**3 + 0*b. Let m(h) be the second derivative of i(h). Factor m(v).
-(v + 1)*(v + 2)/4
Let n(g) be the first derivative of -g**4/16 + 3*g**2/8 - g/2 + 8. Find r, given that n(r) = 0.
-2, 1
Let r(z) be the third derivative of -z**5/150 + z**4/30 - z**3/15 + 16*z**2 + 2*z. Find d, given that r(d) = 0.
1
Let k(v) be the first derivative of 5 - 3/10*v**2 + 0*v - 2/5*v**3 + 6/25*v**5 + 1/10*v**6 + 0*v**4. Factor k(d).
3*d*(d - 1)*(d + 1)**3/5
Let i = 1/12 - -1/6. Let y = 37/70 - 1/35. Factor -i*h**2 + y + 1/4*h.
-(h - 2)*(h + 1)/4
Let i(k) be the second derivative of 0 + 1/75*k**6 + 0*k**4 - 1/5*k**2 + 5*k - 2/15*k**3 + 1/25*k**5. Factor i(c).
2*(c - 1)*(c + 1)**3/5
Suppose 4 + 2 = 2*z. Suppose 2*m + 3 = n, 4*m + z = n - 0*n. Factor 1/2*r**2 + 0*r + m.
r**2/2
Suppose -3*z = z + 4, 2*h + 5*z = 3. Let y(c) be the second derivative of 2/9*c**3 + c + 1/18*c**h + 1/3*c**2 + 0. Factor y(l).
2*(l + 1)**2/3
Let x = -56 + 59. Let o(t) be the first derivative of -2 + 2/21*t**x + 2/7*t**2 + 2/7*t. Factor o(k).
2*(k + 1)**2/7
Suppose -4 = -g + 4. Suppose 7*m - 3*m - g = 0. Factor f**m - 1/2*f**3 + 0 + 3/2*f**5 + 0*f - 2*f**4.
f**2*(f - 1)**2*(3*f + 2)/2
Determine i so that 0*i**3 + 0*i - 4/5 - 9/5*i**4 + 13/5*i**2 = 0.
-1, -2/3, 2/3, 1
Let n be 67/(-5) + (-4)/(-10). Let l = n - -15. Let 9/5*i**4 + 0 - 7/5*i**5 - 2/5*i**3 + 0*i + 0*i**l = 0. What is i?
0, 2/7, 1
Let m = -4 + 11. Factor z**2 + m*z**2 + 35*z**3 + 14*z**4 - 3*z**3.
2*z**2*(z + 2)*(7*z + 2)
Let k be ((-3)/(-6))/((-3)/(21/(-14))). Solve -1/4*u**2 - k*u**3 + 1/4*u + 0 + 1/4*u**4 = 0.
-1, 0, 1
Let x(t) be the third derivative of t**5/15 + t**4/6 - 6*t**2. Factor x(o).
4*o*(o + 1)
Factor f**4 - 14*f**2 - 4*f**3 - 14*f**2 + 32*f**2.
f**2*(f - 2)**2
Let s(n) be the second derivative of -n**7/231 + n**6/165 - 2*n. Factor s(v).
-2*v**4*(v - 1)/11
Let l be 2/(-2 + (-2)/12*-28). Factor 0 - 3*d**3 + 0*d - l*d**2 - 9/4*d**4.
-3*d**2*(d + 1)*(3*d + 1)/4
Factor -12*t + 4 - 3*t - 12*t**2 - 6 - 4 - 3*t**3.
-3*(t + 1)**2*(t + 2)
Suppose 5*c**4 - 3*c**2 - 5*c**2 + 3*c**2 = 0. Calculate c.
-1, 0, 1
Let x(b) be the second derivative of b**4/6 + 5*b**3/3 + 4*b**2 + 6*b. Let g(j) = 6*j**2 + 31*j + 24. Let l(u) = -4*g(u) + 14*x(u). Suppose l(i) = 0. What is i?
-2
What is r in 12*r**3 + 6*r - 21*r**2 - 10*r**3 + 22*r**3 - 9*r**4 = 0?
0, 2/3, 1
Let o be (7 + -1)/(10/(-8)*-4). Solve -4/5*w**2 - 2/5 - o*w = 0.
-1, -1/2
Let z be (-4)/(-28) + (-26)/(-14). Let c(t) be the third derivative of 0 - 1/30*t**5 - 4/3*t**3 + 3*t**z + 1/3*t**4 + 0*t. Determine i so that c(i) = 0.
2
Let f = -548/9 + 61. Let x(s) be the first derivative of 1/9*s**4 + 2/45*s**5 - 1 + 2/9*s - 4/27*s**3 - 1/27*s**6 - f*s**2. Factor x(z).
-2*(z - 1)**3*(z + 1)**2/9
Let a be ((-5)/25)/(26/5)*-4. Factor -a + 0*l + 2/13*l**2.
2*(l - 1)*(l + 1)/13
Let q(l) = 7*l**2 + 7*l. Let u(c) be the second derivative of -c**4/4 - c**3/2 - c. Let t(a) = -2*q(a) - 5*u(a). Solve t(d) = 0 for d.
-1, 0
Let y(q) be the first derivative of -q**3 - 3*q**2/2 + 6*q - 1. Let y(x) = 0. What is x?
-2, 1
What is b in 6*b**4 + b - 2*b**2 - b**5 + 92*b**3 - 92*b**3 - 4*b**4 = 0?
-1, 0, 1
Find p such that 10*p**2 + 6*p + 5*p**4 - 11*p + 5*p**3 - 15*p**2 = 0.
-1, 0, 1
Let i(u) be the second derivative of u**3 + 0 + 2*u + 0*u**2 + 1/4*u**4. Find t, given that i(t) = 0.
-2, 0
Let u(x) be the first derivative of -8*x**3/27 + 5*x**2/9 + 2*x - 19. Factor u(t).
-2*(t + 1)*(4*t - 9)/9
Let c(i) be the third derivative of i**6/120 + i**5/15 + i**4/24 - i**3 - 2*i**2 - 9. Solve c(q) = 0 for q.
-3, -2, 1
Let z(i) be the second derivative of i**8/20160 - i**4/4 + i. Let s(a) be the third derivative of z(a). Factor s(u).
u**3/3
Let o(p) be the first derivative of -1/16*p**4 - 1/120*p**6 - 1/24*p**3 - p + 2 - 3/80*p**5 + 0*p**2. Let v(u) be the first derivative of o(u). Factor v(s).
-s*(s + 1)**3/4
Let x(j) be the second derivative of j**6/48 - 3*j**5/40 + j**4/16 + j**3/12 - 3*j**2/16 - 5*j. Solve x(a) = 0 for a.
-3/5, 1
Let u(p) be the first derivative of p**4/4 + 4*p**3/3 + 5*p**2/2 + 2*p - 3. Factor u(y).
(y + 1)**2*(y + 2)
Suppose 0 = -2*t + t. Suppose t = -n + 2*n. Determine p so that 15*p**2 + 12 - 8*p - 3*p**3 + 7*p + n - 23*p = 0.
1, 2
Let h = -429 - -432. Suppose 4/3*z - 2/3 + 1/6*z**h - 5/6*z**2 = 0. Calculate z.
1, 2
Let v be (-2)/(((-6)/21)/(3/7)). Factor 4/3 + 6*m**v - 32/3*m**2 + 10/3*m.
2*(m - 1)**2*(9*m + 2)/3
Let f be -4 + 555/27 + -1. Let n = 783 - 7039/9. Factor -2/3*x**2 - f*x**3 + 98/9*x**4 + n + 40/9*x.
2*(x - 1)**2*(7*x + 2)**2/9
Let n = -7 + 10. Factor 9*j**5 + 3*j**4 - 6*j**n - 46*j**2 + 46*j**2.
3*j**3*(j + 1)*(3*j - 2)
Let k(f) be the first derivative of -1/12*f**3 - f + 1/2*f**2 - 3. Determine b so that k(b) = 0.
2
Let p(u) be the second derivative of -u**6/20 + 3*u**5/20 - 3*u. What is t in p(t) = 0?
0, 2
Let a(p) = 7*p**3 - 10*p**2 + p + 6. Suppose 5 - 20 = -5*q. Let u(l) = -6*l**3 + 9*l**2 - 6. Let t(b) = q*a(b) + 4*u(b). Determine h, given that t(h) = 0.
-1, 1, 2
Let y(s) be the first derivative of -s**4/20 - s**3/5 - s**2/5 + 8. Suppose y(h) = 0. Calculate h.
-2, -1, 0
Let n = -8 + 7. Let l be n*(28/(-16) - -1). What is z in -3*z**3 + 3 - l*z**4 + 3*z - 9/4*z**2 = 0?
-2, -1, 1
Let s(g) = 2*g**3 - 3*g**2 - g + 2. Let t be s(3). Suppose -4*a + t = 6. Factor -n**4 + 0*n**2 - a*n**3 - n - 3*n**2 + 2*n**3.
-n*(n + 1)**3
Let x(i) = -2*i + 0*i**2 + i**3 + 5*i**2 + 0*i**2 - 7. Let r be x(-5). Find j, given that 1/2*j**2 - 1/2*j - 1/6*j**r + 1/6 = 0.
1
Let y(a) be the second derivative of -a**7/28 - a**6/10 + a**4/4 + a**3/4 + 5*a. Factor y(r).
-3*r*(r - 1)*(r + 1)**3/2
Let k(g) be the third derivative of -1/120*g**6 + 0*g + 0 + 0*g**4 + 5*g**2 + 0*g**5 + 0*g**3. Factor k(b).
-b**3
Let p(d) be the second derivative of 0*d**2 + d + 0 + 0*d**3 + 0*d**4 - 1/147*d**7 - 2/105*d**6 - 1/70*d**5. Find f such that p(f) = 0.
-1, 0
Let p be ((-51)/68)/((-9)/3). Find b such that p*b + 0 - 1/4*b**2 = 0.
0, 1
Let r(k) = -k**2 + 5*k - 2. Let t be r(3). Suppose -2*z - t = 5*c - 10, 5*z - 15 = 4*c. Factor 0 + 1/4*j**2 - 1/4*j**z + 0*j.
-j**2*(j - 1)/4
Suppose 10*t - 11*t = -6. Let o be 92/80 + t/(-15). Let 1 - y - o*y**2 = 0. Calculate y.
-2, 2/3
Let p = 9 - 9. Let i be (p/(-1) - 2) + 4. Solve -2*k**i + 8/3*k**3 - 2/3*k + 0 = 0.
-1/4, 0, 1
Let c be (-3 - -3 - -1)*0. Factor 2*s**2 + 2*s + c*s + 2*s + 2.
2*(s + 1)**2
Factor -2*s**2 - 3*s**2 + 14*s + 10*s - 9*s.
-5*s*(s - 3)
Let o(k) = k**2 - 5*k - 5. Let j be o(6). Let g be (-2)/(-4 - -2) + j. Solve -1 + q**2 + g*q - q + 2 - 3*q = 0.
1
Let k(i) be the first derivative of 2*i**3/3 + 3*i**2/2 - 1. Let j be k(-2). Factor -2*v + j*v**2 + 4 - v**2 - 2*v.
(v - 2)**2
Suppose -3*k = -5*d - 5*k + 8, 0 = 5*k - 20. Let b(t) be the first derivative of -4 + 1/3*t**6 + 1/4*t**2 - 1/3*t**3 - 3/8*t**4 + 2/5*t**5 + d*t. Factor b(a).
a*(a + 1)**2*(2*a - 1)**2/2
Let 5*x**4 + 4*x + 4*x**5 - x**4 + 11*x**2 - 8*x**3 + 4 - 19*x**2 = 0. What is x?
-1, 1
Let n be (18/10)/((-92)/(-20) + -4). Factor -