 d.
-1, 4
Let g = 67/2 + -33. Let q be 0 + 0 + 5 + -3. Suppose 0 + g*h**q - 1/2*h = 0. What is h?
0, 1
Let t(s) = s - 2. Let m = 0 + 5. Let q be t(m). Factor 9*g**3 + 0*g**2 - 2*g**2 - g + 0*g**2 - 10*g**q.
-g*(g + 1)**2
Factor -7/2*g**2 + 3/4*g**3 + 5*g - 2.
(g - 2)**2*(3*g - 2)/4
What is l in -4 + 2 - 2*l**3 + 0*l**3 + 10 - 6*l**2 = 0?
-2, 1
Let n = -5 + 4. Let u = 3 - n. Suppose 27*k**3 - 6*k**4 + 18*k**u + 2*k + 13*k**2 - 4*k**3 = 0. What is k?
-1, -2/3, -1/4, 0
Let n = 5/27 - -19/189. Factor n*t**2 - 2/7 + 0*t.
2*(t - 1)*(t + 1)/7
Let j(s) be the first derivative of -s**3/6 + 3*s**2/4 - s - 5. Let j(m) = 0. What is m?
1, 2
Let w(m) = m**3 - 9*m**2 - 4*m**3 + 2 - 2*m**2 + m**3 + 2*m. Let s(j) = -j**3 - 5*j**2 + j + 1. Let l(b) = 9*s(b) - 4*w(b). Suppose l(u) = 0. What is u?
-1, 1
Let r(g) be the third derivative of 0*g - 1/96*g**4 + 1/480*g**6 - 1/420*g**7 + 0 + 0*g**3 - 2*g**2 + 1/120*g**5. Determine i so that r(i) = 0.
-1, 0, 1/2, 1
Let n(v) be the second derivative of -v**4/12 - 7*v**3/24 + v**2/4 + 12*v. Factor n(m).
-(m + 2)*(4*m - 1)/4
Let f(z) = 3*z**4 + 6*z**3 + 18*z**2 - 15*z - 21. Let d(c) = -c**4 - 3*c**3 - 9*c**2 + 7*c + 10. Let o(m) = 9*d(m) + 4*f(m). Let o(l) = 0. Calculate l.
-1, 1, 2
Let v be -3 + 3 + (-32)/20 + 2. Factor -1/5*l**4 + 2/5*l + 0*l**2 + 1/5 - v*l**3.
-(l - 1)*(l + 1)**3/5
Factor 2*g**2 + 2/3*g + 0.
2*g*(3*g + 1)/3
Let i(d) = 15*d**4 + 21*d**3 + 12*d**2 + 6*d. Let l(b) = 31*b**4 + 43*b**3 + 23*b**2 + 11*b. Let t(j) = 11*i(j) - 6*l(j). Factor t(n).
-3*n**2*(n + 1)*(7*n + 2)
Solve -5*b**3 - 3*b**5 - b**4 + 3*b**4 - 2*b + 5*b**2 - 7*b**4 + 10*b**3 = 0.
-2, -1, 0, 1/3, 1
Let h(f) be the third derivative of -5*f**6/96 - f**5/48 + f**4/6 - f**3/6 + 2*f**2 - 8. Factor h(c).
-(c + 1)*(5*c - 2)**2/4
Let v(l) = l**4 + l**2 + l + 1. Let d(m) = -10*m**4 - 3*m**3 - 20*m**2 + 16*m - 11. Let u(t) = -4*d(t) - 44*v(t). Factor u(g).
-4*g*(g - 3)**2*(g + 3)
What is m in 13*m**2 - 6 - 27*m + 27*m**3 - 7*m**2 - 12*m**2 + 12*m**4 = 0?
-2, -1, -1/4, 1
Let f = -3/14 - -43/70. Suppose f*y + 12/5*y**3 + 0 + 9/5*y**2 + y**4 = 0. What is y?
-1, -2/5, 0
Let b be 2/13 - 2444/(-1690). Let f be 7/5 - (0 + 1). Let -2/5*l**2 - b*l**3 + 8/5*l**5 + 0*l + 0 + f*l**4 = 0. Calculate l.
-1, -1/4, 0, 1
Let l(s) be the second derivative of s**9/60480 - s**8/8960 + s**7/5040 + s**4/6 + 4*s. Let q(v) be the third derivative of l(v). Solve q(b) = 0 for b.
0, 1, 2
Suppose 5*o + 4*u = 2*u - 4, -4*u + 10 = o. Let c be (1 + o)*1/(-5). Solve 0 - 1/5*k**2 - c*k = 0 for k.
-1, 0
Let u(z) be the second derivative of -z**5/20 + 5*z**4/12 - 4*z**3/3 + 2*z**2 - 25*z. Suppose u(g) = 0. What is g?
1, 2
Let h(k) = 8*k**2 + 6*k**2 + 2 - k + 10*k**2 - 23*k**2. Let b be h(1). Factor 15/4*i**b - 27/4 + 3/4*i**3 + 9/4*i.
3*(i - 1)*(i + 3)**2/4
Let -2/11*y**5 - 48/11*y**3 - 16/11*y**4 - 68/11*y**2 - 12/11 - 46/11*y = 0. Calculate y.
-3, -2, -1
Let t = 0 + 2. Find x, given that -3*x**4 + t*x**3 + x**2 - x + 2*x**4 + 4*x**3 - 5*x**3 = 0.
-1, 0, 1
Let z(b) be the second derivative of -5*b**7/21 - 8*b**6/15 - b**5/10 + b**4/3 + 6*b. Determine j so that z(j) = 0.
-1, 0, 2/5
Let v(f) be the first derivative of 5*f**3/3 + 5*f**2/2 - 7. Factor v(c).
5*c*(c + 1)
Let n(l) = -l**3 + 5*l**2 + 9*l - 8. Let j be n(7). Let w = j - -173/4. Factor -1/4*v**2 - w*v**3 + 1/4*v + 1/4.
-(v - 1)*(v + 1)**2/4
Suppose -g + 1/3*g**2 + 2/3 = 0. What is g?
1, 2
Let t(b) = -b**2 - b + 1. Let i(z) = 6. Let p(r) = -5. Let h(w) = -3*i(w) - 4*p(w). Let n(o) = -h(o) + 2*t(o). Factor n(y).
-2*y*(y + 1)
Let f(q) be the third derivative of -2*q**2 + 0*q + 1/8*q**4 + 0 - 1/10*q**5 + 1/2*q**3. Factor f(l).
-3*(l - 1)*(2*l + 1)
Let x(g) be the first derivative of -g**6/6 - 3*g**5/5 + g**4/2 + 4*g**3 + 4*g**2 + 5. Determine h, given that x(h) = 0.
-2, -1, 0, 2
Let x(h) be the first derivative of -7*h**5/15 - 19*h**4/12 - 8*h**3/9 + 2*h**2/3 - 12. What is t in x(t) = 0?
-2, -1, 0, 2/7
Let v(q) = -3*q**3 + 3*q**2 - 6*q - 4. Let r(m) = -7*m**3 + 7*m**2 - 13*m - 9. Let y(b) = 4*r(b) - 9*v(b). Factor y(h).
-h*(h - 2)*(h + 1)
Let w(y) be the second derivative of -7*y**5/30 + y**4/9 + 7*y**3/9 - 2*y**2/3 + y. Find v, given that w(v) = 0.
-1, 2/7, 1
Factor 0 - 2/7*o**3 + 6/7*o**2 - 4/7*o.
-2*o*(o - 2)*(o - 1)/7
Let j(m) be the third derivative of -m**7/150 + 3*m**6/200 + m**5/25 - m**4/30 + 14*m**2. Suppose j(n) = 0. What is n?
-1, 0, 2/7, 2
Let j(n) = 2*n**3 - 3*n**2 + n + 3. Let p = -3 - -7. Let r(c) = 3*c**3 - 4*c**2 + c + 4. Let w(q) = p*j(q) - 3*r(q). Factor w(f).
-f*(f - 1)*(f + 1)
Let v(d) be the first derivative of 2*d**4 + 46*d**3/15 + d**2/5 - 4*d/5 + 14. Let v(u) = 0. Calculate u.
-1, -2/5, 1/4
Suppose -o + u - 3 = 2, 3*o + 18 = 4*u. Let k be (-2 - -9)*(-2)/o. Factor h**5 - 2 + 3 - k*h + 8*h**2 - 2*h**4 + 1 - 2*h**3.
(h - 1)**4*(h + 2)
Let a be ((-2)/(-10))/(9/15). Let x(b) be the second derivative of 1/2*b**4 + 1/15*b**6 + 0 + 3/10*b**5 + a*b**3 - 2*b + 0*b**2. Let x(g) = 0. Calculate g.
-1, 0
Let h be (-11)/(-7) - (-15)/35. Determine i so that -4*i + 2*i + 5*i**2 - 3*i**h = 0.
0, 1
Let w(p) be the first derivative of 4*p**5/15 + p**4 + 4*p**3/3 + 2*p**2/3 + 5. Solve w(o) = 0 for o.
-1, 0
Let w(x) be the first derivative of 5*x**4/4 - 5*x**3/3 - 5*x**2/2 + 5*x + 23. Suppose w(m) = 0. Calculate m.
-1, 1
Let g(j) = -2*j**4 + 20*j**3 - 34*j**2 + 28*j - 8. Let p(c) = -3*c**4 + 40*c**3 - 67*c**2 + 56*c - 16. Let n(w) = -5*g(w) + 2*p(w). Find q, given that n(q) = 0.
1, 2
Let y(n) = -n**3 - 4*n**2 + 5. Let k be y(-4). Solve -6*b**3 - 3*b + 12*b**4 - 12*b**3 - 3*b**5 + 7*b**2 + k*b**2 = 0.
0, 1
Let l be 3/18*9/3. Let n(j) be the first derivative of -2*j - 1 + 2/3*j**3 - j**2 + l*j**4. Factor n(w).
2*(w - 1)*(w + 1)**2
Let t(y) be the first derivative of y**6/27 + 2*y**5/9 + y**4/2 + 14*y**3/27 + 2*y**2/9 - 42. Suppose t(b) = 0. Calculate b.
-2, -1, 0
Let u(r) be the second derivative of -r**7/21 + r**5/10 + 3*r. Factor u(g).
-2*g**3*(g - 1)*(g + 1)
Let v(y) = -y + 5. Let f be v(-10). Factor -4*t**4 - 2*t**3 + 2*t + 15 + 4*t**2 - f.
-2*t*(t - 1)*(t + 1)*(2*t + 1)
Let q(j) = -j**3 + j - 1. Let p = -12 + 10. Let u(f) = f**3 + 3*f**2 - 4*f + 2. Let d(z) = p*u(z) - 4*q(z). Find k such that d(k) = 0.
0, 1, 2
Let y = 98 - 98. Let g(w) be the third derivative of 0*w + 0*w**4 + 1/90*w**5 + y*w**3 + 0 - w**2. Factor g(d).
2*d**2/3
Suppose -v + 3 = -4*b, 16*v + 5*b + 3 = 17*v. Find t, given that 10/3*t**4 - 32/3 - 56/3*t**v - 32/3*t + 32*t**2 = 0.
-2/5, 2
Let q = -19 - -35. Let b(m) be the first derivative of q*m**2 + 343/3*m**6 - 352/3*m**3 + 0*m - 392*m**5 - 3 + 336*m**4. Factor b(i).
2*i*(i - 2)*(7*i - 2)**3
Let f be (-4 - -1)/((-1)/1). Determine w, given that -1 - w + 0*w**f + 2*w**3 - 3*w + w**4 + 2*w = 0.
-1, 1
Let l(a) be the first derivative of a**4/24 + a**3/6 - 4*a - 9. Let o(b) be the first derivative of l(b). Factor o(m).
m*(m + 2)/2
Let r be (-4)/(-2) - (3 + 4). Let y(c) = 5*c**3 + 4*c**2 + 5*c - 6. Let n(w) = 4*w**3 + 3*w**2 + 4*w - 5. Let d(m) = r*y(m) + 6*n(m). Let d(u) = 0. What is u?
-1, 0
Let y(v) be the third derivative of v**8/672 - v**7/210 - v**6/240 + v**5/60 - v**2 + 10*v. Factor y(d).
d**2*(d - 2)*(d - 1)*(d + 1)/2
Let c(f) be the third derivative of 0 + 0*f + 3*f**2 - 1/300*f**5 + 1/40*f**4 - 1/15*f**3. Factor c(g).
-(g - 2)*(g - 1)/5
Let l(b) = b**3 + 2*b**2 - 2*b + 5. Let p be l(-3). Factor 0 - 2/3*a - 2*a**3 + 2/3*a**4 + p*a**2.
2*a*(a - 1)**3/3
Suppose q = -3*q + 8. Suppose q*i - 105 = -1. Factor 16/7*r + i*r**3 - 136/7*r**2 + 0 - 42*r**4.
-2*r*(3*r - 2)*(7*r - 2)**2/7
Solve -2/3 + 0*l**2 + 2/3*l**4 - 4/3*l + 4/3*l**3 = 0 for l.
-1, 1
Let j = 17 + -7. Suppose -3*h + j - 4 = 0. Let 3 + 2*t**h - t**2 + 6*t + 2*t**2 = 0. What is t?
-1
Let w = -7 - -7. Let m(o) be the second derivative of 0*o**3 + 1/55*o**5 + 0*o**2 - o + w + 1/66*o**4 + 1/165*o**6. Find r, given that m(r) = 0.
-1, 0
Determine u so that 0 - 2/5*u**3 - 2/5*u - 4/5*u**2 = 0.
-1, 0
Let j = -95/4 - -24. Let c = -81 - -325/4. Factor -j*i - 3/4*i**3 + c*i**4 + 3/4*i**2 + 0.
i*(i - 1)**3/4
What is d in -6*d**2 + 3*d**3 + 10*d + 2 + 20*d**2 + 3*d**3 = 0?
-1, -1/3
Let z(w) = 3*w**5 - 15*w**4 + 25*w**3 - 17*w**2 + 5*w + 1. Let i(r) = r**5 - r**4 - r**3 + r**2 - r - 1. Let o(a) = i(a) + z(a). Find b, given that o(b) = 0.
0, 1
Let i(n) be the 