4, 0, 1
Let s = -4 + -16. Let p be (-38)/(-40) - (-4)/s. Factor 3/4*m**3 - 1/4*m**2 + 0 - p*m**4 + 1/4*m**5 + 0*m.
m**2*(m - 1)**3/4
Let w be ((-22)/8 + 3)/(-1). Let q = 1/4 - w. Let 0 + 0*y - q*y**2 = 0. What is y?
0
Let l = -8 + 8. Let -1/2*b**3 + 0*b - b**2 + l = 0. Calculate b.
-2, 0
Suppose -6*d - 5*l = -4*d - 13, 4*d + 5*l - 21 = 0. Determine a, given that d*a**2 - 4*a - 2*a**2 + 21 - 21 = 0.
0, 2
Suppose -2*v = 4*t - 7*v + 12, 3*t = 2*v - 2. Suppose a**2 - t*a**3 + 4*a**3 + 0*a**2 - 2*a**4 + 3*a**4 = 0. Calculate a.
-1, 0
Let q(a) be the first derivative of 0*a**3 + 1 + 0*a**2 - 1/10*a**4 - 4/25*a**5 - 1/15*a**6 + 0*a. Factor q(c).
-2*c**3*(c + 1)**2/5
Suppose -y + 0 = -6. Suppose 4*z = y + 14. Solve -2*v**4 + v**z - v**2 - v**4 - v**3 + 4*v**3 = 0 for v.
0, 1
Solve 11/6*c**4 + 1/3*c + 0 + 7/6*c**3 - 3/2*c**5 - 11/6*c**2 = 0 for c.
-1, 0, 2/9, 1
Let u be 624/130 - (0 + 0). Determine y so that -2/5*y**4 - 108/5*y**2 + u*y**3 - 162/5 + 216/5*y = 0.
3
Let a be 102/44 - 24/(-132). Suppose 0 = -2*h + 7*h - 5. Suppose -2*t**2 - 1/2*t**3 - a*t - h = 0. Calculate t.
-2, -1
Let b(w) be the third derivative of -w**8/26880 - w**7/20160 + w**6/1440 - w**5/30 - 4*w**2. Let o(l) be the third derivative of b(l). Let o(k) = 0. What is k?
-1, 2/3
Let p(i) be the first derivative of i**5/10 - i**4/3 - 28*i**3/9 - 8*i**2/3 + 8*i + 14. Factor p(m).
(m - 6)*(m + 2)**2*(3*m - 2)/6
Let x be 26/39 + 4/(-15). Determine u, given that u**2 + 7/5*u + x = 0.
-1, -2/5
Let l(m) be the third derivative of 1/3*m**3 - 1/24*m**4 - 5*m**2 + 1/120*m**6 - 1/30*m**5 + 0*m + 0. Factor l(c).
(c - 2)*(c - 1)*(c + 1)
Solve 2/17*p**3 - 2/17 + 2/17*p**2 - 2/17*p = 0 for p.
-1, 1
Let i = 159/70 + -15/14. Factor 0 - 2/5*k + 4/5*k**2 + i*k**3.
2*k*(k + 1)*(3*k - 1)/5
Let f be (-2)/8 - (-21)/4. Let m be 5 + f/(10/(-6)). Factor r + r**m + r**3 + 2*r**2 - r**2.
r*(r + 1)**2
Let h be ((-6)/(-27))/(-3 - (-62)/18). Let q = 1 + -1. Determine a so that -1/2*a**4 + 0 + 0*a + q*a**3 + h*a**2 = 0.
-1, 0, 1
Let p be ((-4)/6)/(3/9). Let z(f) = f**2 + 4*f + 2. Let b(a) = 7 + 20*a + 0*a**2 + 5*a**2 + 2. Let k(n) = p*b(n) + 11*z(n). Factor k(v).
(v + 2)**2
Factor -2*j**2 + 8*j + 1/6*j**3 - 32/3.
(j - 4)**3/6
Factor 5/3*c - 10/3 + 5/3*c**2.
5*(c - 1)*(c + 2)/3
Let l(p) = -5*p**3 + 4*p**2 - p + 2. Let i(o) = 6*o**3 - 3*o**2 - 3. Let b(z) = 2*i(z) + 3*l(z). Factor b(q).
-3*q*(q - 1)**2
Let v(f) be the first derivative of 0*f + 1/48*f**4 + 0*f**2 + 1 + 1/3*f**3 - 1/120*f**5 + 1/720*f**6. Let j(h) be the third derivative of v(h). Factor j(l).
(l - 1)**2/2
Let u(k) be the first derivative of -k**5/100 - k**4/12 - 4*k**3/15 - 2*k**2/5 + k + 10. Let z(f) be the first derivative of u(f). Let z(g) = 0. What is g?
-2, -1
Let z(q) be the third derivative of 1/180*q**5 - 1/360*q**6 + 1/72*q**4 - 8*q**2 - 1/630*q**7 + 0*q**3 + 0 + 0*q. Factor z(c).
-c*(c - 1)*(c + 1)**2/3
Suppose -3*r - 2*r + 30 = 0. Let h be r/10 + 7/5. Let -a**3 + 3*a - 2*a**2 - h + 4 - 2*a = 0. What is a?
-2, -1, 1
Let q(y) = y**3 + 8*y**2 - y - 5. Let l be q(-8). Suppose -4*d**2 - 6*d**3 + 3*d**4 - 5*d**l - d**3 + 16*d**2 = 0. Calculate d.
0, 2
Let z(t) be the second derivative of t**6/140 - t**5/70 + t**4/84 - t**3/2 + 2*t. Let h(s) be the second derivative of z(s). Determine d so that h(d) = 0.
1/3
Let a = -8 - -16. Factor a*o**3 - 10 + 10 + 2*o**2.
2*o**2*(4*o + 1)
Suppose -3*z = -3*p + 15, 5*p = 5*z - 3*z + 19. Suppose -2*r = p*r. Factor 1/4*u**2 + r + 1/2*u**3 + 1/4*u**4 + 0*u.
u**2*(u + 1)**2/4
Let x(w) be the second derivative of 3/2*w**4 - 8/5*w**3 - 1/2*w**5 + 2*w + 0 + 4/5*w**2. Solve x(m) = 0.
2/5, 1
Let f(z) = z**2 + 7. Let l(v) = -v**2 - v - 8. Let i(t) = -5*f(t) - 4*l(t). Let g be i(3). Factor g - 2*j**3 - 1/2*j + 5/2*j**2.
-j*(j - 1)*(4*j - 1)/2
Let n(c) = 25*c**2 - 25*c - 9. Let y(s) = 6*s**2 - 6*s - 2. Suppose -5*t + 51 = 3*d, -3*d + 4*d + 7 = t. Let g(u) = t*y(u) - 2*n(u). Factor g(w).
4*w*(w - 1)
Let c = -7 - -15. Let i = -4 + c. Suppose 2*t**i + 5 - 5 + 2*t**3 = 0. What is t?
-1, 0
Let r(w) = -6*w**4 + 25*w**3 - 6*w**2 + 13*w - 13. Let h(a) = 3*a**4 - 12*a**3 + 3*a**2 - 6*a + 6. Let q(p) = -13*h(p) - 6*r(p). Factor q(d).
-3*d**2*(d - 1)**2
Let c be (-49)/3*6/2. Let n be (-4)/(-14) + (-231)/c. Factor 3*q - 6*q**3 + 2*q - 6*q + 2*q**4 - 2*q**2 + 5*q + 2*q**n.
2*q*(q - 1)**2*(q + 1)*(q + 2)
Let d = 0 - -4. Factor 2*g**d + 10*g**3 - 5*g**3 + g**5 - 4*g**3.
g**3*(g + 1)**2
Let v(s) be the first derivative of 4/21*s**3 + 64/7*s + 1 - 16/7*s**2. Suppose v(y) = 0. What is y?
4
Let n(g) be the third derivative of -g**6/40 - g**5/2 - 17*g**4/8 - 4*g**3 + 3*g**2. Factor n(h).
-3*(h + 1)**2*(h + 8)
Let y(x) be the second derivative of -x**7/56 + x**6/15 - x**5/20 - x**4/8 + 7*x**3/24 - x**2/4 + 4*x. Find b, given that y(b) = 0.
-1, 2/3, 1
Let f(g) = -g**3 - 8*g**2 + 35*g - 36. Let z(b) = b**3 + 9*b**2 - 36*b + 36. Let l(i) = 4*f(i) + 3*z(i). Factor l(v).
-(v - 2)**2*(v + 9)
Let b(h) be the third derivative of 1/42*h**4 + 0*h + h**2 + 0 - 1/70*h**5 + 0*h**3 + 1/420*h**6. Let b(u) = 0. What is u?
0, 1, 2
Let q(r) be the first derivative of 10*r**3/9 + 2*r**2 + 2*r/3 + 21. Suppose q(j) = 0. Calculate j.
-1, -1/5
Let l(y) be the first derivative of 2*y**5/55 + y**4/11 - 8*y**3/33 - 8*y**2/11 + 1. Determine m so that l(m) = 0.
-2, 0, 2
Let j(t) be the first derivative of -t**5/30 + 7*t**4/24 - 5*t**3/6 + 13*t**2/12 - 2*t/3 + 22. Determine o so that j(o) = 0.
1, 4
Let h(z) be the third derivative of z**7/105 + z**6/20 + z**5/10 + z**4/12 - 14*z**2. Factor h(l).
2*l*(l + 1)**3
What is c in -3*c**2 + 9*c + 4*c - 14*c = 0?
-1/3, 0
Let m(y) = 11*y**3 - 9*y**2 + 16*y. Let i(d) = 12*d**3 - 8*d**2 + 17*d. Let n(r) = 6*i(r) - 7*m(r). Factor n(h).
-5*h*(h - 2)*(h - 1)
Suppose 0 = 5*c + 25, 5*c - 2*c + 19 = -4*w. Let h be 3 - (-38)/14*w. Determine q, given that 0 + h*q + 2/7*q**3 - 4/7*q**2 = 0.
0, 1
Factor -2/9*l**3 - 10/9*l**2 - 2/3 - 14/9*l.
-2*(l + 1)**2*(l + 3)/9
Let p = 1 + 5. Let c be (15/(-7))/((-3)/p). Suppose 0 - c*v**3 - 18/7*v**2 - 4/7*v - 22/7*v**4 - 6/7*v**5 = 0. Calculate v.
-1, -2/3, 0
Factor 3/5*b**2 - 1/5*b**4 + 0*b - 2/5*b**3 + 0.
-b**2*(b - 1)*(b + 3)/5
Find d, given that 0 + 1/3*d**5 + 0*d**2 + 0*d + 4/3*d**3 - 4/3*d**4 = 0.
0, 2
Let n(p) = -p**2 + 15*p - 12. Let d be n(12). Let k be 16/d - 4/(-3). Let 3/4*q**k + 5/4*q + 1/2 = 0. What is q?
-1, -2/3
Factor 2/3*s**2 - 14/9*s + 4/9.
2*(s - 2)*(3*s - 1)/9
Let i(t) = -t - 1. Let z(k) be the second derivative of k**4/4 - 3*k**3 - 9*k**2 + k. Let u(a) = 18*i(a) - z(a). Factor u(w).
-3*w**2
Let o(d) = d**2 + 3*d + 10. Let l be o(-4). Suppose -2*k - 12 = -4*q, -k - 4*q + l = -q. Suppose -4/3*j - 3*j**3 + 4*j**k + 0 = 0. What is j?
0, 2/3
Let b(o) be the first derivative of 0*o + 1/5*o**2 - 7 + 2/15*o**3. Let b(t) = 0. Calculate t.
-1, 0
Let -2*w**4 - 655*w**3 - 2*w**5 + 3*w**5 + 2*w**2 + 654*w**3 = 0. Calculate w.
-1, 0, 1, 2
Let n(q) be the second derivative of 2*q + 1/80*q**5 - 1/8*q**3 + 0*q**4 + 0 - 1/4*q**2. Factor n(x).
(x - 2)*(x + 1)**2/4
Let c(o) be the first derivative of o**8/2520 + o**7/1260 - o**6/540 - o**5/180 + 2*o**3/3 - 2. Let k(m) be the third derivative of c(m). Factor k(h).
2*h*(h - 1)*(h + 1)**2/3
Let o(c) = 19*c**3 - 43*c**2 + 23*c - 13. Let i(r) = -3*r**3 + 7*r**2 - 4*r + 2. Let m(w) = -39*i(w) - 6*o(w). What is j in m(j) = 0?
0, 2, 3
Let k(w) be the first derivative of w**6/36 - w**4/8 + w**3/9 + 11. Factor k(r).
r**2*(r - 1)**2*(r + 2)/6
Suppose -2*v - 13 = -3*j - v, 5*v + 23 = j. Let f(i) be the second derivative of 1/6*i**j - 1/2*i**2 + 0 - 1/48*i**4 + 2*i. Factor f(q).
-(q - 2)**2/4
Let y(c) be the third derivative of 1/8*c**4 + 1/20*c**5 + 0*c + 0 + 5*c**2 - c**3. Let y(p) = 0. Calculate p.
-2, 1
Let v(h) be the third derivative of -h**8/672 - h**7/420 + h**6/120 + h**5/60 - h**4/48 - h**3/12 - 7*h**2. Let v(a) = 0. What is a?
-1, 1
Let f(r) be the first derivative of -2*r**3/11 + 3*r**2/11 + 12*r/11 - 4. Factor f(l).
-6*(l - 2)*(l + 1)/11
Solve -4/5*z**4 - 8/5*z + 0 - 16/5*z**3 - 4*z**2 = 0.
-2, -1, 0
Let d(y) = -y**3 - y + 1. Let v(a) = -12*a**3 + 12*a**2 + 20*a - 16. Let s(x) = 4*d(x) + v(x). Let s(c) = 0. Calculate c.
-1, 3/4, 1
Let o be -3*(1 - (-10)/(-6)). Factor o + 3*v**2 - 4 - v + 5*v - 5*v**2.
-2*(v - 1)**2
Factor -8*h**2 - 2 + 2 - h**3 + 650*