What is a?
-1, 0, 1
Let t = 5 + -2. Solve 0*v + v + t*v**2 + 8*v + 6 = 0.
-2, -1
Let h(a) be the third derivative of -a**8/588 + 4*a**7/735 - 2*a**5/105 + a**4/42 + 41*a**2. Solve h(q) = 0.
-1, 0, 1
Let v(w) = -3*w**3 - 2*w**2 - 7*w + 4. Let z(a) = 9*a**3 + 7*a**2 + 20*a - 11. Let q(n) = -11*v(n) - 4*z(n). Factor q(k).
-3*k*(k + 1)**2
Let g = -495 - -2484/5. Find b, given that 1/5*b**5 + g*b - 2/5 - 16/5*b**2 + 14/5*b**3 - 6/5*b**4 = 0.
1, 2
Let n(i) be the third derivative of i**6/40 + i**5/10 + i**2. Factor n(s).
3*s**2*(s + 2)
Factor -48 + 54 + 21*v**3 + 0*v**2 + 48*v**2 + 33*v.
3*(v + 1)**2*(7*v + 2)
Let r = -29 + 29. Let q(x) be the third derivative of r - 3*x**2 + 0*x**3 + 1/120*x**6 + 0*x + 1/30*x**5 + 1/24*x**4. Solve q(b) = 0.
-1, 0
Let o(v) be the second derivative of v**7/231 + 2*v**6/165 + v**5/110 - 4*v. Factor o(z).
2*z**3*(z + 1)**2/11
Let v be -1 + -4 + 2 - -4. Suppose -v - 2*d + d**4 + 3*d + 2*d**3 - 3*d = 0. What is d?
-1, 1
Suppose 16 = 3*p - 2*b - 3, -4*b = -p + 23. Factor 9*s**2 + 0 + 27/2*s**p + 3/2*s.
3*s*(3*s + 1)**2/2
Let s(a) be the first derivative of a**5/20 - 2*a**4/9 + a**3/6 + a**2/3 + 6*a - 7. Let v(w) be the first derivative of s(w). Let v(i) = 0. What is i?
-1/3, 1, 2
Let k = -9 - -13. Let l(v) = -v**3 + 5*v**2 - 5*v + 6. Let r be l(k). Factor r*c**2 + 2*c**3 - 2 + 0*c**3 - 2*c + 0.
2*(c - 1)*(c + 1)**2
Let t = 88 + -85. Let x(k) be the first derivative of 0*k**2 + 0*k - 3/10*k**4 - 3 - 2/15*k**t - 4/25*k**5. Factor x(r).
-2*r**2*(r + 1)*(2*r + 1)/5
Let y(w) be the third derivative of -w**5/20 - 5*w**4/8 - 3*w**3 - 34*w**2. Factor y(u).
-3*(u + 2)*(u + 3)
Suppose 3*v = 4*v - 1. Suppose y - v = 2. Suppose 2*u**2 - 6*u + y*u + 3*u**3 - 3 + u**2 = 0. What is u?
-1, 1
Suppose 46 = 4*y + 6. Factor -9*r + 3*r**4 - r + y*r - 3*r**2.
3*r**2*(r - 1)*(r + 1)
Solve -3 + 12*i + 2*i**2 - 12*i**2 - 10*i**2 + 2*i**2 - 3*i**4 + 12*i**3 = 0.
1
Let r(p) be the second derivative of -1/13*p**2 + 0*p**3 + 6*p + 0 + 1/78*p**4. Factor r(x).
2*(x - 1)*(x + 1)/13
Let s(x) be the first derivative of 2 + 0*x - 1/3*x**3 - 1/2*x**2. Suppose s(o) = 0. What is o?
-1, 0
Let g(s) = -9*s**4 + 30*s**3 - 21*s**2. Let a(t) = t**3 - t. Let u(v) = 6*a(v) - g(v). Factor u(w).
3*w*(w - 1)**2*(3*w - 2)
Let o be -1 - -2 - (-1 + 0). Solve 5*v - 5*v**2 + 2*v**o - 4*v**2 + 2 = 0 for v.
-2/7, 1
Let g be 60/(-35)*(-42)/3. Let 0*d - 2*d - 2*d - 36*d**3 + 16*d**4 + g*d**2 = 0. Calculate d.
0, 1/4, 1
Suppose -3*p + 2*m + 10 = 0, -2 - 4 = -5*p - 2*m. Suppose p*r + r = 9. Factor 22*q + 4*q**r + q**5 - 3*q**5 - 24*q.
-2*q*(q - 1)**2*(q + 1)**2
Let g(c) be the first derivative of 5/6*c**6 + 0*c - 1/3*c**3 - 1 + 9/4*c**4 + 13/5*c**5 - c**2. Solve g(j) = 0 for j.
-1, 0, 2/5
Factor -1/3*y**2 - 2*y - 5/3.
-(y + 1)*(y + 5)/3
Factor 0*w - 1/2*w**5 + 1/2*w**4 - 1/2*w**2 + 0 + 1/2*w**3.
-w**2*(w - 1)**2*(w + 1)/2
Let p(b) be the first derivative of 3*b**5/10 - 3*b**4/2 + 2*b**3 + 14. Determine l, given that p(l) = 0.
0, 2
Let y = 14 - 8. Factor y*k**3 - 6*k**5 - k**4 - 4*k**2 - 3*k**4 + 7*k**5 + k.
k*(k - 1)**4
Let h be ((-10)/(-24))/((-15)/(-24)). Factor 0 - 2*l**2 - 2/3*l**4 - 2*l**3 - h*l.
-2*l*(l + 1)**3/3
Let w(t) = -3*t**2 - 70*t - 19. Let b be w(-23). Let 0 + 0*u + 3/4*u**2 - 3/4*u**b + 3/4*u**5 - 3/4*u**3 = 0. Calculate u.
-1, 0, 1
What is v in -6*v**4 + 15*v**4 - 7*v**2 + 4*v**3 + 22*v**2 + 17*v**3 + 3*v = 0?
-1, -1/3, 0
Suppose 11*u = 2*i + 15*u, -10 = -4*i + 2*u. Find f, given that 2/9*f**i - 2/9*f - 4/9 = 0.
-1, 2
Let z = 8643393/130 + -66488. Let o = 1/26 - z. Solve o*b + 4/5*b**2 + 2/5*b**3 + 0 = 0 for b.
-1, 0
Let 0 + 8/7*g - 16/7*g**2 + 6/7*g**3 - 2/7*g**5 + 4/7*g**4 = 0. Calculate g.
-2, 0, 1, 2
Let w(z) be the third derivative of -z**6/180 + z**5/30 + z**4/4 + 5*z**3/9 + 28*z**2. Factor w(v).
-2*(v - 5)*(v + 1)**2/3
Let g(b) = -2*b**2 - 5*b + 7. Let j(c) = -3*c**2 - 8*c + 11. Let f(o) = -8*g(o) + 5*j(o). Let f(h) = 0. Calculate h.
-1, 1
Let h = 157 - 157. Factor 6/7*q**2 - 4/7*q - 2/7*q**4 + h + 0*q**3.
-2*q*(q - 1)**2*(q + 2)/7
Let f be ((-4222)/(-36))/((-1)/(-2)). Let n = 235 - f. Factor -2/9*w**4 + 0*w**2 + 0 - 2/9*w**5 + n*w**3 + 0*w.
-2*w**3*(w - 1)*(w + 2)/9
Let c = 457/3 + -152. Let b(z) be the first derivative of 3 - c*z**2 - 10/27*z**3 + 4/9*z. Factor b(h).
-2*(h + 1)*(5*h - 2)/9
Factor -43*d - 4*d**2 + 32 + 19*d + 32*d.
-4*(d - 4)*(d + 2)
Let s be 16/24*(2 + 1). Factor -2*m**3 + s*m + 0 - 11 + 9 + 2*m**2.
-2*(m - 1)**2*(m + 1)
Let y**2 + 0 + 2/3*y + 0*y**3 - 1/3*y**4 = 0. Calculate y.
-1, 0, 2
Let o(t) = t**2 - t + 4. Let g(w) = 2*w**2 - w + 8. Let s(j) = -3*g(j) + 7*o(j). Solve s(f) = 0 for f.
2
Let q be 8/(-10)*(-10)/4. Let u be (-4 + 17/4)*8. Factor 2*h**3 - 3*h**3 - h**3 + q*h**u.
-2*h**2*(h - 1)
Let w(v) be the third derivative of -v**6/60 + 4*v**2. Suppose w(n) = 0. What is n?
0
Let y(i) = -i**2 - 6*i + 2. Let d be y(-6). Suppose k + d = 2*n - k, -4*k - 4 = -n. Suppose n + 0*r - 2/5*r**2 = 0. What is r?
0
Let g(t) = -4*t**4 + 3*t**3 - 4*t**2 + 2. Let z(a) = -a**4 - a**2 + a. Let i(k) = g(k) - 3*z(k). Let i(w) = 0. What is w?
-1, 1, 2
Suppose 0 = 2*r + 2*p - 8, 0 = -2*r + 3*r - 3*p. Let i be 10/r - (3 - 0). Let 2/3*x + i*x**2 + 1/3 = 0. What is x?
-1
Suppose 0 = -4*d + 20, 2*n - 3*d = -9 - 2. Let s be -1 - n/((-2)/5). Determine g so that 2*g**3 - 14*g - 5*g**2 - g**5 - 11*g**3 + 5*g**s + 12*g**2 + 12*g = 0.
0, 1, 2
Let v(u) be the second derivative of -u + 0 + 0*u**2 + 1/50*u**5 + 2/15*u**3 + 1/10*u**4. Factor v(l).
2*l*(l + 1)*(l + 2)/5
Determine k, given that 2/7*k**2 + 2/7*k**3 - 2/7*k**4 + 0 - 2/7*k = 0.
-1, 0, 1
Suppose 2*d + 4*m - 3 = -3*d, 4*m = 5*d - 27. Factor -7/2*c**d + c + 0 - 5/2*c**2.
-c*(c + 1)*(7*c - 2)/2
Let n = 1221/1400 - 3/200. What is l in 0 + 0*l**2 - 4/7*l**3 - 10/7*l**4 + 0*l - n*l**5 = 0?
-1, -2/3, 0
Let t be 6/(-3) - (-131 + 0). What is c in -28 + 0*c**3 - t + 144*c - 36*c**2 - 35 + 3*c**3 = 0?
4
Let z(c) be the second derivative of -c**5/100 - c**4/10 - 4*c**3/15 + 2*c. Factor z(w).
-w*(w + 2)*(w + 4)/5
Let l(d) be the second derivative of 0 + 1/3*d**3 + 4*d + 0*d**2 + 1/6*d**4. Factor l(c).
2*c*(c + 1)
Let d = -3344 + 765778/229. Let w = d - -1822/1145. Factor 2/5*x**2 + 0 + w*x**3 + 8/5*x**4 + 0*x.
2*x**2*(2*x + 1)**2/5
Factor 2/5*x**2 + 2/5 + 4/5*x.
2*(x + 1)**2/5
Let j(u) be the first derivative of -2*u**5/25 + u**4/5 - 2*u**3/15 - 9. Determine t, given that j(t) = 0.
0, 1
Let d(r) be the first derivative of r**6/3 + 8*r**5/5 + r**4/2 - 4*r**3 - 33. Factor d(a).
2*a**2*(a - 1)*(a + 2)*(a + 3)
Let z(b) = -3*b**2 - b - 2. Let h(m) = -m**2 - m - 1. Suppose -v - v = -8. Let g(u) = v*h(u) - z(u). Factor g(j).
-(j + 1)*(j + 2)
Let t = 500 - 4498/9. Factor 2/9*s**3 + 2/9*s**2 - 2/9*s - t.
2*(s - 1)*(s + 1)**2/9
Let j(f) be the third derivative of 1/30*f**5 - 1/105*f**7 - 2*f**2 - 1/60*f**6 + 0*f + 0 + 0*f**3 + 1/12*f**4. What is o in j(o) = 0?
-1, 0, 1
Let g = 211/86 - -2/43. Find o such that 2*o**2 + 1/2*o**3 + g*o + 1 = 0.
-2, -1
What is a in -17*a + 12*a + 5*a**3 + 10*a**2 + 10*a = 0?
-1, 0
Factor 1/4*i**4 - 3*i + 0 + 4*i**2 - 7/4*i**3.
i*(i - 3)*(i - 2)**2/4
Let u(x) be the first derivative of -5*x**3/3 - 55*x**2/2 - 50*x - 43. Factor u(d).
-5*(d + 1)*(d + 10)
Let w be 1/(-4) + (-15)/(-12). Factor a**3 + w - 2*a**3 + 2*a**2 - 2*a - 3 + 3*a**3.
2*(a - 1)*(a + 1)**2
What is c in -2*c + 0*c + 5 - 4 + c**2 = 0?
1
Suppose 2*n + 6 - 4 = -3*w, 2*n + 6 = -4*w. Let q(c) be the second derivative of 0 + 0*c**2 - 1/12*c**4 + 1/12*c**3 + 2*c + 1/40*c**n. Factor q(r).
r*(r - 1)**2/2
Let p(f) = f**3 + f + 1. Let l(z) = 6*z**2 - 4*z + 4. Let r(y) = l(y) - 2*p(y). Let r(x) = 0. Calculate x.
1
Let r be (-265)/(-175) + (-5)/((-70)/4). Let k(l) be the first derivative of -18/5*l**2 - 12/5*l - r*l**3 - 1. Find c such that k(c) = 0.
-2/3
Let p(i) be the second derivative of -5*i**7/42 + 2*i**6/3 - i**5 - 5*i**4/6 + 25*i**3/6 - 5*i**2 + 6*i. Factor p(a).
-5*(a - 2)*(a - 1)**3*(a + 1)
Let v = -1069 - -9589/9. Let r = -2/9 - v. Determine x, given that r*x**5 + 0 - 22/3*x**2 + 4/3*x + 14*x**3 - 34/3*x**4 = 0.
0, 2/5, 1
Let i be (-2)/(3*6/(-36)). Let z(g) be the second derivative of 1/60*g**i - 1/10*g**2 - 1/100*g**5 + 0 + 3*g + 1/30*g**3. Suppose z(t) = 0. What is t?
-1, 1
Let a(v) = -2*v + v**2 - 4 + 0*v + 1. Let l(c) = 4*c**2 - 9*