1, 0, 2
Suppose -10*y - 5*y**2 + 1 + 5 + 5*y + 4 = 0. What is y?
-2, 1
Let h = 10 + -2. Factor h + 0*c**2 + 32*c + 20*c**2 - 6*c**2.
2*(c + 2)*(7*c + 2)
Suppose 0 = 5*m - 3*r - 1 - 0, -4*r + 2 = -5*m. Solve 2*p + p**2 + 4*p**m - 3*p**2 = 0 for p.
-1, 0
Let l(p) = 16*p**2 + 7*p - 23. Let j(t) = 4*t**2 + 2*t - 6. Let u(k) = -9*j(k) + 2*l(k). Factor u(r).
-4*(r - 1)*(r + 2)
Let k be 4 + -3 + 10/(-14). Factor 2/7*b**2 + k*b**3 + 0 + 0*b.
2*b**2*(b + 1)/7
Let l be 3/15 + 122/(-10). Let x be (-4)/12 + (-10)/l. Solve x*r**2 - 1/2*r**3 - 1/2 + 1/2*r = 0 for r.
-1, 1
Let v(k) = 45*k**3 + 145*k**2 - 45*k - 35. Let s(u) = -5*u**3 - 16*u**2 + 5*u + 4. Let x(g) = 55*s(g) + 6*v(g). Factor x(q).
-5*(q - 1)*(q + 1)*(q + 2)
Let h(x) be the second derivative of -x**6/1620 + x**5/270 - x**4/108 + x**3/6 - 4*x. Let g(b) be the second derivative of h(b). Factor g(f).
-2*(f - 1)**2/9
Let x(q) be the second derivative of q**8/112 + q**7/42 - q**6/120 - q**5/12 - q**4/12 - q**2 + 2*q. Let k(a) be the first derivative of x(a). Factor k(y).
y*(y - 1)*(y + 1)**2*(3*y + 2)
Let v be (-3 - 1 - -4)/4. Solve 2/3 + v*h - 2/3*h**2 = 0.
-1, 1
Let -3*r**3 + 7*r**3 + r**3 - 10 - 15*r = 0. Calculate r.
-1, 2
Factor -5/7*i**2 + 1/7 + 4/7*i.
-(i - 1)*(5*i + 1)/7
Let z be ((-18)/18)/((-4)/8). Factor 0*u - 1/2 + 1/2*u**z.
(u - 1)*(u + 1)/2
Let m = -167/2 + 85. Factor -3/2*t + 1/2*t**2 - 1 + m*t**3 + 1/2*t**4.
(t - 1)*(t + 1)**2*(t + 2)/2
Factor -s**2 - 6 - s**2 + s - 6*s - 3*s.
-2*(s + 1)*(s + 3)
Let f(b) be the first derivative of -5*b**6/6 - 5*b**5 - 10*b**4 - 20*b**3/3 - 27. Factor f(q).
-5*q**2*(q + 1)*(q + 2)**2
Let f(n) be the second derivative of n**6/120 - n**5/40 - n**4/12 + n**3/3 + 8*n. Factor f(q).
q*(q - 2)**2*(q + 2)/4
Let k(c) be the first derivative of -2 + 4/3*c**3 + 0*c + 1/2*c**4 + c**2. Factor k(v).
2*v*(v + 1)**2
Let z(t) be the first derivative of -t**4/10 - 2*t**3/15 + 2*t**2/5 - 38. Let z(k) = 0. What is k?
-2, 0, 1
Let c(h) = 0 + h**2 + 11 + 0 + 10*h. Let j be c(-9). Factor 4*s**2 - 2 + s**4 + 0*s**j - 3*s**4 + 0*s**2.
-2*(s - 1)**2*(s + 1)**2
Suppose 0 = -x + 2 - 8. Let p = x - -10. Factor -2*j + 0*j**4 - 2*j**2 + p*j + 4*j**2 - 2*j**3 - 2*j**4.
-2*j*(j - 1)*(j + 1)**2
Let o(b) be the second derivative of -b**4/4 + b**3 + b. Factor o(a).
-3*a*(a - 2)
Let f(k) = -7*k**3 - 15*k**2 - 5*k - 3. Let x(l) = -13*l**3 - 29*l**2 - 11*l - 5. Let y(s) = 5*f(s) - 3*x(s). Determine d so that y(d) = 0.
-2, -1, 0
Let f(n) be the second derivative of 5*n**4/12 + 20*n**3 + 360*n**2 + 44*n. Factor f(j).
5*(j + 12)**2
Let k = -9764/17 + 574. Let u = 107/34 - k. Suppose -u*j**4 + j + 7/2*j**2 - j**3 + 0 = 0. What is j?
-1, -2/7, 0, 1
Let b(u) be the third derivative of 0*u**4 - 1/20*u**5 - 4*u**2 + 0 + 0*u + 0*u**3 - 1/40*u**6. Factor b(q).
-3*q**2*(q + 1)
Let s(h) = h**3 - 8*h**2 - h + 4. Let w = -3 + 6. Let y(o) be the first derivative of -3*o**3 + 3*o + 9. Let c(l) = w*s(l) - 2*y(l). Factor c(m).
3*(m - 2)*(m - 1)*(m + 1)
Let g(c) be the second derivative of c**4/48 - c**3/6 + 2*c. Determine f so that g(f) = 0.
0, 4
Let d(q) be the first derivative of q**5/30 - q**4/3 + 4*q**3/3 - q**2/2 - 2. Let n(m) be the second derivative of d(m). Factor n(b).
2*(b - 2)**2
Let u be (18/144)/(12/32). Factor -2/3*i + 1/3*i**2 + u*i**3 + 0.
i*(i - 1)*(i + 2)/3
Suppose -1/8*w**3 + 1/8*w - 3/8 + 3/8*w**2 = 0. Calculate w.
-1, 1, 3
Suppose 15 + 39 = -2*f. Let z be (-3 - 33/f) + 2. Solve 4/9*t + 0 + z*t**3 + 2/3*t**2 = 0.
-2, -1, 0
Let c(s) = -s - 12. Let h be c(-12). Suppose 0 = -d - h*d + 2. What is y in y + 0 + y - 2 + 1 - y**d = 0?
1
Let t be 6/3 + 0 + 0. Let h(v) = v - 5. Let d be h(7). Solve -12 + t*b**d - 4*b**2 + 8*b + 4 = 0 for b.
2
Let j = -44 - -47. Let z be (-3)/(-6) + 2/12. Determine n so that 1/3*n**2 + 1/3*n**4 - z*n**j + 0 + 0*n = 0.
0, 1
Let g = -32/9 - -38/9. Factor -g*v + v**2 - 1/3.
(v - 1)*(3*v + 1)/3
Suppose 3*s + 2*o - 4 = 0, 3*s - s - o = -2. Let a(c) be the third derivative of 1/120*c**6 + 0*c + s*c**3 + 1/36*c**4 - 7/180*c**5 + 0 + 2*c**2. Factor a(i).
i*(i - 2)*(3*i - 1)/3
Let o(w) be the third derivative of -w**6/240 + w**5/24 - w**4/6 + w**3/3 - 2*w**2. Solve o(b) = 0.
1, 2
Let d be 3/3 + 299/39. Factor -d*n**3 - 8/3*n**4 - 10*n**2 - 14/3*n - 2/3.
-2*(n + 1)**3*(4*n + 1)/3
Suppose 2*j = o + 18, 3*o + 41 = 5*j - 6. Factor 2*f + j*f**2 + 44 - 44.
f*(7*f + 2)
Factor -2*r**4 + 8*r**3 - 2*r**4 + 3*r**4 + 4*r - 10*r**2 - r**4.
-2*r*(r - 2)*(r - 1)**2
Let j = 757/176 + -63/16. Let p = 111/308 + -5/28. Let 0 + 0*a + p*a**4 + 6/11*a**3 + j*a**2 = 0. Calculate a.
-2, -1, 0
Factor 0*o**2 + 6/7*o - 4/7 - 2/7*o**3.
-2*(o - 1)**2*(o + 2)/7
Suppose 1 = 2*b + 2*y + 3, 2*y = 4*b - 20. Factor -4*r**2 + 3*r**2 - 3*r + 7*r**2 - 3*r**b.
-3*r*(r - 1)**2
Let q = 2 + 1. Find n, given that -n**2 + 2*n**q - 8*n - 5*n**2 - 4*n**3 - 2*n**2 = 0.
-2, 0
Let y(h) be the third derivative of h**8/1008 - h**6/180 + h**4/72 - 4*h**2. Suppose y(c) = 0. Calculate c.
-1, 0, 1
Let -2 - 3*m**2 - 5*m - 4*m - 3 - 1 = 0. What is m?
-2, -1
Let v(p) = -3*p**3 - 6*p**2 + 3*p + 6. Let x(u) = -15*u**3 - 30*u**2 + 15*u + 30. Let d(y) = -11*v(y) + 2*x(y). Solve d(t) = 0.
-2, -1, 1
Suppose 4*v - 51 - 13 = -2*r, -5*v + 87 = -r. Let q = 31 - v. Factor -1/2*f - 1 + q*f**2.
(4*f + 1)*(7*f - 2)/2
Factor -b**5 - b**2 - 2*b**2 + b**4 + 3*b**2.
-b**4*(b - 1)
Let g(t) be the first derivative of -8/15*t**3 + 1/10*t**4 + 1 - 4/5*t + t**2. Let g(p) = 0. What is p?
1, 2
Suppose 0*l + 6 = 3*l. Suppose l*y = -2*y + 12. What is d in -y - 4*d - 1 + 4*d**2 - 3*d**2 + 8 = 0?
2
Let z(l) be the second derivative of 0*l**2 + 0 + 0*l**4 + 0*l**3 + l + 1/10*l**5 - 1/15*l**6. Factor z(d).
-2*d**3*(d - 1)
Let j(t) = -t**3 + t + 0*t**3 + 2 - 3 - t**2. Let p(l) = 14*l**3 + 7*l**2 - 10*l + 11. Let k(z) = 22*j(z) + 2*p(z). Suppose k(i) = 0. What is i?
0, 1/3, 1
Let r(q) be the first derivative of q + 9/4*q**2 - 9/8*q**4 + 5/6*q**3 - 7/10*q**5 - 1. Solve r(f) = 0 for f.
-1, -2/7, 1
Factor -9 - 3*o**2 - 3*o**3 + 7 + o**4 + 3*o + 4*o**2.
(o - 2)*(o - 1)**2*(o + 1)
Determine v so that 0*v + 1/8*v**2 + 0 + 1/8*v**3 = 0.
-1, 0
Let d(r) be the second derivative of r**4/6 + 2*r**3/3 + r**2 - 5*r. Factor d(b).
2*(b + 1)**2
Suppose -5*s + 3*m = -2*m + 85, -4*m - 58 = 5*s. Let u(t) = -t**2 - 15*t - 14. Let r be u(s). Factor 2/9*k**5 + 2/9*k**3 + 0*k + r + 0*k**2 + 4/9*k**4.
2*k**3*(k + 1)**2/9
Let h(s) = s**4 - s**3 - s**2 + s + 1. Let g(x) = -4*x**4 + 2*x**3 + 8*x**2 - 6*x - 5. Let q be ((-2)/4)/((-6)/(-12)). Let k(f) = q*g(f) - 5*h(f). Factor k(o).
-o*(o - 1)**3
Factor 10*y**2 - 16*y + 6*y**3 - 32 - 64 - 4*y**3.
2*(y - 3)*(y + 4)**2
Let w be (-2)/(-3 + (0 - 1)). Factor 2 - 2*v + w*v**2.
(v - 2)**2/2
Let z be (1/(-4))/(5/20). Let d be (z - -3)*(4 + -2). Find j, given that -2/5*j**5 - 2/5*j + 4/5*j**2 - 2/5 + 4/5*j**3 - 2/5*j**d = 0.
-1, 1
Suppose -5*k + 9 = -11, -4*h = -5*k + 12. Factor 7/3*t**4 - 2/3*t + 11/3*t**h + 0 - 16/3*t**3.
t*(t - 1)**2*(7*t - 2)/3
Factor -6/7 - 3/7*y**2 - 9/7*y.
-3*(y + 1)*(y + 2)/7
Let b(n) = 6*n + 1. Let p be b(4). Let g be 10/12*10/p. Determine k, given that -2/3*k + g*k**2 + 1/3 = 0.
1
Let d be (-1930)/(-4) + 5/(-10). Let c = d - 4334/9. Solve -2/9*h + 0 - c*h**4 + 4/9*h**2 + 0*h**3 + 2/9*h**5 = 0 for h.
-1, 0, 1
Let z = -4/37 + 157/1110. Let x(h) be the third derivative of 2/9*h**4 + 2*h**2 + 4/9*h**3 + 0 + z*h**5 + 0*h. Factor x(a).
2*(a + 2)*(3*a + 2)/3
Let v be (210/20 - 10)*0. Factor 0*l**3 + 2/11*l**2 - 2/11*l**4 + 0 + v*l.
-2*l**2*(l - 1)*(l + 1)/11
Factor 48/5*n + 18/5*n**2 + 32/5 + 2/5*n**3.
2*(n + 1)*(n + 4)**2/5
Let n(v) be the second derivative of v**5/70 + 8*v. Factor n(z).
2*z**3/7
Factor g - 1/2*g**2 + 0.
-g*(g - 2)/2
Solve 0 + 4/7*k**3 - 2/7*k**2 + 0*k = 0.
0, 1/2
Let o(u) be the first derivative of 42*u**2 - 24*u - 22*u**3 - 3 + 15/4*u**4. Determine c, given that o(c) = 0.
2/5, 2
Suppose -72 = 2*t - 6*t. Suppose -d + t = 2*d. Let m(o) = -o**3 + o**2 + o + 1. Let g(x) = -4*x**3 + 5*x**2 + 2*x + 3. Let l(r) = d*m(r) - 2*g(r). Factor l(c).
2*c*(c - 1)**2
Let p be ((-2)/12)/(2 - 68/33). Factor p*j**4 + 1/4*j**2 + 9/4*j**3 + j**5 - 1/4*j + 0.
j*(j + 1)**3*(4*j - 1)/4
Let d(s) be the second derivative of 2/9*s**3 + 0*s**2 + 1/12*s**5 - 3*s + 1/3*s**4 + 0. Suppose d(g) = 0. What is g?
-2, -2/5, 0
Factor 2*n**3 + 3