 -2*a + 4*a - 2, 0 = -3*n - 3*a + 3. Let c(l) = -3*l - 4. Let x be c(-2). Suppose 3*s + n*s**3 + s**5 - x*s - 2*s**3 = 0. What is s?
-1, 0, 1
Let o be (2 + -3)/(2/4). Let l be (-27)/(-15) - o/10. Find u, given that -3*u**4 + u**4 + 6*u**l - 10*u + 0*u**3 + 4 + 2*u**3 = 0.
-2, 1
Factor -n**2 + 66 - n**4 - n**3 + 2*n**4 + n**5 - 66.
n**2*(n - 1)*(n + 1)**2
Let c = 602/111 - 10/111. Factor c*k**3 + 2/3*k + 11/3*k**2 + 0 + 7/3*k**4.
k*(k + 1)**2*(7*k + 2)/3
Let j(k) be the first derivative of -3*k**4/28 + 9*k**2/14 + 6*k/7 + 16. Suppose j(p) = 0. What is p?
-1, 2
Let 0 + 9*j**2 + 2*j + 9/4*j**5 + 39/4*j**4 + 29/2*j**3 = 0. What is j?
-2, -1, -2/3, 0
What is s in 0*s + 0 - 2/11*s**4 - 6/11*s**3 - 4/11*s**2 = 0?
-2, -1, 0
Let h(q) be the second derivative of 2*q**6/15 + 2*q**5 + 12*q**4 + 36*q**3 + 54*q**2 + 16*q. Factor h(l).
4*(l + 1)*(l + 3)**3
Suppose -5*n + 4*x = -4 - 15, -5*n + x + 16 = 0. Suppose 4*o - 8*o**n + 10/3*o**2 + 2/3 = 0. Calculate o.
-1/3, -1/4, 1
Let u(l) be the first derivative of -4*l**5/5 - l**4 + 4*l**3/3 + 2*l**2 + 1. Determine q so that u(q) = 0.
-1, 0, 1
Let j(a) = -10*a**4 - 7*a**3 + 3*a**2 - 3*a. Let c(i) = -i**3 + i**2 - i. Let y(m) = 3*c(m) - j(m). Factor y(u).
2*u**3*(5*u + 2)
Let t(w) be the third derivative of -1/180*w**6 - 3*w**2 + 0 + 0*w**4 - 1/3*w**3 - 1/60*w**5 + 0*w. Let v(x) be the first derivative of t(x). Factor v(f).
-2*f*(f + 1)
Let a = -84/97 - -3096/2231. Let p = a + -1/46. Factor 3/2*s**2 + 3/2*s + 1/2*s**3 + p.
(s + 1)**3/2
Let j(n) be the third derivative of 25*n**8/336 - 2*n**7/21 - 71*n**6/120 + 11*n**5/6 - 13*n**4/6 + 4*n**3/3 + 4*n**2. Find h such that j(h) = 0.
-2, 2/5, 1
Let r = 18 - 16. Let z(x) be the third derivative of -2*x**r + 0*x + 1/54*x**4 - 1/540*x**6 + 0 + 0*x**3 - 1/270*x**5. Find a, given that z(a) = 0.
-2, 0, 1
Suppose 6*m - 8 - 4 = 0. Solve 0*d + 0 - 1/2*d**3 - 1/2*d**m = 0.
-1, 0
Let q be (-1)/(-2*1/4). Let d = 4 - q. Factor -1 + 3*y - 2*y**3 - 3*y**4 + 1 + 1 - y**5 + d*y**2.
-(y - 1)*(y + 1)**4
Let d(c) be the second derivative of -3/14*c**2 + 0*c**3 + 0 + 5*c + 0*c**5 - 1/70*c**6 + 1/14*c**4. Factor d(w).
-3*(w - 1)**2*(w + 1)**2/7
Let p = -59/120 - -8/15. Let u(a) be the third derivative of 0*a - a**2 + 1/6*a**3 - p*a**4 + 0 - 1/30*a**5. What is x in u(x) = 0?
-1, 1/2
Suppose -i - 24 = i. Let h be ((-3)/(-9))/((-2)/i). Determine y, given that -y + 4 + y**h - 4 = 0.
0, 1
Let j be 5/((-70)/13) + 3/2. Find k such that 6/7*k - j - 2/7*k**2 = 0.
1, 2
Let a(b) be the third derivative of 0*b + 1/96*b**5 + 0 + 0*b**3 + 1/96*b**4 + 4*b**2. Suppose a(c) = 0. What is c?
-2/5, 0
Suppose 7*z = 4*z - 12, -5*z = 2*m + 6. Let h(a) = a - 3. Let u be h(m). What is i in -6*i**4 + 4*i**5 + 2*i**3 + i**5 - i**u = 0?
0, 2/5, 1
Let f be -2 + (10 - 1) + -4 - 0. Determine k so that -6/7 - 3/7*k**f + 3/7*k + 6/7*k**2 = 0.
-1, 1, 2
Let p be 3/3 - -4 - 0. Let c(i) be the first derivative of -5/4*i**4 + 2/3*i**6 + 1/2*i**2 - 3/5*i**p + i**3 + 0*i - 2. Factor c(y).
y*(y - 1)**2*(y + 1)*(4*y + 1)
Suppose -17*y**2 + 17*y**2 - y + y**3 = 0. What is y?
-1, 0, 1
Factor 0*l**2 + 0 - 3/2*l - 3/2*l**5 + 0*l**4 + 3*l**3.
-3*l*(l - 1)**2*(l + 1)**2/2
Let x(n) = 3*n**5 - 5*n**4 - 6*n**3 + 5*n**2 - 2*n. Let b(s) = -3*s**5 + 6*s**4 + 6*s**3 - 6*s**2 + 3*s. Let k(a) = 5*b(a) + 6*x(a). Factor k(z).
3*z*(z - 1)**2*(z + 1)**2
Let v = 66 - 131/2. Factor 1/2*o + v*o**4 - 1/2*o**2 - 1/2*o**3 + 0.
o*(o - 1)**2*(o + 1)/2
Suppose 5*o = 26 + 29. Let f(k) = k - 9. Let z be f(o). Let 0*y**z - 4/3*y**3 + 2/3*y**4 - 2/3 + 4/3*y = 0. What is y?
-1, 1
Let -18*c**2 + 12*c**3 - 3 + 10*c + 6*c - 3*c**4 - 4*c = 0. What is c?
1
Let f = 4665/2 - 2290. Let d = f + -41. Find m, given that 1 + d*m + 1/2*m**2 = 0.
-2, -1
Let d(s) be the first derivative of -s**4/6 - 2*s**3/3 - 2*s**2/3 + 3. Factor d(b).
-2*b*(b + 1)*(b + 2)/3
Suppose 4*t**3 - 7*t + 3*t - 2*t**2 - 5*t**3 + 3*t**3 = 0. What is t?
-1, 0, 2
Let m(q) be the third derivative of q**5/100 - q**3/10 + 12*q**2. Determine s, given that m(s) = 0.
-1, 1
Let y(m) be the first derivative of -1/3*m**2 + 0*m + 4 + 1/3*m**4 + 2/9*m**3. Suppose y(f) = 0. Calculate f.
-1, 0, 1/2
Let v(d) be the second derivative of -d**4/78 - 2*d**3/39 - d**2/13 + 8*d + 2. Factor v(y).
-2*(y + 1)**2/13
Let l = -13 + 21. Factor 5*w**2 - 32*w + l*w - 4*w**2 + 9*w**3 - 4*w**2 - 12.
3*(w - 2)*(w + 1)*(3*w + 2)
Suppose 7 - 1 = 3*q. Solve 3*o + 3*o**2 - 4*o**q - 2*o = 0 for o.
0, 1
Suppose -30 = -3*q + 9. Suppose -5*i**2 - 23*i**2 - 4*i + q*i**3 - 62*i**3 = 0. What is i?
-2/7, 0
Let t(m) be the first derivative of -7/5*m**3 - 17/20*m**4 - 1/5*m**5 + 6 - 11/10*m**2 - 2/5*m. Suppose t(d) = 0. Calculate d.
-1, -2/5
Factor 32*b**4 + 18*b**2 + 4 + 35*b**4 + 14*b + 10*b**3 - 65*b**4.
2*(b + 1)**3*(b + 2)
Let u(b) be the first derivative of -b**5/30 + b**4/12 - b**3/18 - 15. Solve u(i) = 0 for i.
0, 1
Let v be 10 + 2 + (-4 - 0). Suppose 0*p = -n - 4*p + 7, 3*n = p + v. Factor -2*b**4 - 4*b**n - 4*b**5 + 0*b**3 + 4*b**2 + 2*b - 2 + 6*b**5.
2*(b - 1)**3*(b + 1)**2
Let w(m) be the first derivative of m**5/70 + m**4/21 + 2*m - 4. Let c(d) be the first derivative of w(d). Factor c(a).
2*a**2*(a + 2)/7
Let m(i) be the first derivative of -i**4/12 - 2*i**3/9 - i**2/6 + 9. Factor m(p).
-p*(p + 1)**2/3
Let t be (2 + -5)/(-3) + 1. Solve 6*v**3 - 9*v**2 + t*v + 3*v**2 + 2 - 4*v**2 = 0.
-1/3, 1
Let f(r) = 0 - 1 + 9*r - 7*r + r**2. Let x(w) = -2*w**2 - 5*w + 2. Let p(u) = -5*f(u) - 2*x(u). Factor p(m).
-(m - 1)*(m + 1)
Let z(w) be the first derivative of 1/10*w**4 - 4/15*w**3 + 2/25*w**5 - 3 + 0*w + 0*w**2. Factor z(b).
2*b**2*(b - 1)*(b + 2)/5
Let i(b) = -3*b**2 + 3*b + 13. Let h(n) = -2*n**2 + 4*n + 12. Let v(q) = 5*h(q) - 4*i(q). Factor v(w).
2*(w + 2)**2
Let -3*m**3 + 2*m**2 + m**2 + 3*m - 3*m**2 = 0. Calculate m.
-1, 0, 1
Let h(p) be the third derivative of -p**8/3360 + p**7/1050 - p**5/300 + p**4/240 + 3*p**2. Find g, given that h(g) = 0.
-1, 0, 1
Let w(p) = -7*p**4 - p**3 + 4*p + 4. Let x(s) = -8*s**4 - 2*s**3 + 5*s + 5. Let n(m) = 5*w(m) - 4*x(m). Factor n(g).
-3*g**3*(g - 1)
Let i(t) = -t**2 + 3*t + 2. Let b be i(2). Let r = -5 - -10. Let a(s) = -s**2 + 1. Let x(y) = y**2 - 1. Let w(u) = b*a(u) + r*x(u). Solve w(m) = 0.
-1, 1
Let x(y) be the third derivative of -y**6/780 + y**5/78 - y**4/26 + 29*y**2. Factor x(a).
-2*a*(a - 3)*(a - 2)/13
Suppose 0 = 3*b - 2 + 11, 4*v = -b + 9. What is m in -5*m + 3*m + 3*m + 2*m + v*m**2 = 0?
-1, 0
Let s be 3/(-3) - (-3)/1. Determine y, given that s - 20*y**2 - 2 + 4 - 16*y = 0.
-1, 1/5
Suppose 2*k + 6 = 5*k. Factor 6*c**k - 5/2*c**3 - 2*c + 0.
-c*(c - 2)*(5*c - 2)/2
Let a(n) = 6*n**2 - 8*n + 8. Let j(o) = -4*o**2 + 5*o - 5. Let v(q) = 5*a(q) + 8*j(q). Suppose v(g) = 0. Calculate g.
0
Let p(q) be the first derivative of q**3/21 - 5*q**2/14 + 4*q/7 + 20. Let p(z) = 0. What is z?
1, 4
Let o(q) = 31*q + 1. Let h(g) = -6*g. Let d(t) = -11*h(t) - 2*o(t). Let i be d(3). Suppose -i - 2*l + 4*l**2 + 10 - 2*l**3 = 0. Calculate l.
0, 1
Let q = -217 - -1087/5. Factor -16/5 + q*t**3 - 8/5*t + 4/5*t**2.
2*(t - 2)*(t + 2)**2/5
Let i(o) be the third derivative of -o**5/60 - o**4/4 - 3*o**3/2 - 15*o**2. Solve i(m) = 0 for m.
-3
Let s(m) be the second derivative of m**5/90 + 2*m**4/27 - 11*m**3/27 + 2*m**2/3 + 22*m. Find g, given that s(g) = 0.
-6, 1
Let j = -12 + 18. Suppose 4*u + 5*r = 36, -3*u + 32 + j = r. Find c, given that c**4 - 4*c**4 + 3*c**3 - c**2 - u*c**5 + 15*c**5 = 0.
0, 1
Let f(g) be the first derivative of -3/4*g**4 + 15/2*g**2 - g**3 - 3 - 9*g. Let f(o) = 0. Calculate o.
-3, 1
Let r(h) be the second derivative of -h**7/2520 - h**6/540 - h**5/360 - h**3/3 - 3*h. Let u(l) be the second derivative of r(l). Factor u(v).
-v*(v + 1)**2/3
Suppose -2*l + 15 = 9. Let o(s) be the second derivative of 0*s**2 + 0 - 3/4*s**5 - 1/4*s**4 + 0*s**l - s. Factor o(d).
-3*d**2*(5*d + 1)
Let f = 1115/7 - 159. Let v = -20 - -23. Factor f*k**4 + 0*k**2 - 4/7*k + 4/7*k**v - 2/7.
2*(k - 1)*(k + 1)**3/7
Let r be ((-2)/(-7))/(4/56). Let h be (-42)/r*(-3)/18. Suppose -3/4*w**4 - 1/4*w - 5/4*w**2 - h*w**3 + 0 = 0. What is w?
-1, -1/3, 0
Let y(t) be the third derivative of 0 + 1/420*t**6 + 3*t**2 + 1/105*t**5 + 0*t - 1/735*t**7 + 0*t**4 + 0*t**3. Factor y(f).
-2*f**2*(f - 2)*(f + 1)/7
Let u(t) be the third derivative of t*