 - 1)**2*(t + 1)
Factor 0*m + 4/3*m**2 + 4/3*m**4 + 10/3*m**3 + 0.
2*m**2*(m + 2)*(2*m + 1)/3
Suppose -41 = -5*m - 11. Solve -6*f**2 - m*f**2 - 2*f**3 + 5*f**3 + f + 8*f**2 = 0.
0, 1/3, 1
Let g(x) = 2*x**2 - 5. Let d(t) = 2*t**2 - 4. Let p(a) = -6*d(a) + 4*g(a). Suppose p(h) = 0. Calculate h.
-1, 1
Let k(f) = 4*f - 5*f - 5*f + 4*f - 6*f**2. Let w(s) = -11*s**2 - 4*s. Let b(a) = 7*k(a) - 4*w(a). Factor b(x).
2*x*(x + 1)
Let z = -3 + 14. Let g = z + -8. Suppose 2*v**2 + v - 3 - 2 + g - v**2 = 0. Calculate v.
-2, 1
Suppose 4*s - 13*k = -15*k + 6, -2*s = -5*k - 33. Let 2/5*q**2 + 0 + 2/5*q**s - 4/5*q**3 + 0*q = 0. What is q?
0, 1
Let c(b) = -2*b - 5. Let g be c(-5). Suppose -5*a - n + g = 0, 7*a - 3*a = -3*n - 7. Determine k so that -2*k - k**3 + k + a*k = 0.
-1, 0, 1
Suppose 2*y + 0*k = 3*k - 2, -5*y - 4*k = -18. Factor 1 - 2*q**3 + 0*q**4 - q + 4*q - q**5 - 3*q**4 + 2*q**y.
-(q - 1)*(q + 1)**4
Factor -q**2 + 11*q + 3 - 27*q + 18*q.
-(q - 3)*(q + 1)
Suppose 4*l - 3*n - 16 = -n, l + 5*n - 4 = 0. Let w(c) be the first derivative of -2 + 1/8*c**l + 0*c - 1/4*c**2 + 0*c**3. Factor w(b).
b*(b - 1)*(b + 1)/2
Let p be (1 - -8)/(-3) + 0. Let g be (-15)/10*p/18. Factor -g*d**2 + 0 - 1/4*d.
-d*(d + 1)/4
Let j(n) be the third derivative of -n**8/1512 + n**7/945 + n**6/180 - n**5/54 + n**4/54 - 7*n**2. Factor j(s).
-2*s*(s - 1)**3*(s + 2)/9
Let l(x) = x**3 + 7*x**2 + x - 2. Let r be l(-7). Let b = 9 + r. Let 2/5*t**3 + 0*t + b + 0*t**2 = 0. What is t?
0
Suppose -3*l = -6*l + 36. Suppose l = 2*c + 2*c. Determine y, given that -3 + 3 + y**c - y**2 = 0.
0, 1
Let p(n) = 8*n**3 - 13*n**2 + 7*n - 7. Let s(w) = 8*w**3 - 12*w**2 + 6*w - 8. Let f be (-5)/3*(7 - 10). Let i(l) = f*s(l) - 6*p(l). Solve i(x) = 0 for x.
1/4, 1
Let o be (-9 - -12) + -2 + -3 + 2. Factor 0*l - 1/3*l**3 + o + 1/3*l**2.
-l**2*(l - 1)/3
Let u(a) = 7*a**2 + 5*a - 8. Let i(n) = -6*n**2 - 4*n + 8. Let v(m) = 5*i(m) + 4*u(m). Find j such that v(j) = 0.
-2, 2
Suppose 6*x = 4*x + 8. Suppose 3*g**2 - 3*g**5 - 12*g**2 + 8*g - 2*g + 9*g**x - 3*g**3 = 0. Calculate g.
-1, 0, 1, 2
Let s(g) be the second derivative of -5*g**4/12 + 5*g**3/2 - 5*g**2 - 50*g + 2. Factor s(y).
-5*(y - 2)*(y - 1)
Let j = -382/15 - -129/5. Factor 0 - 1/3*c - c**3 + c**2 + j*c**4.
c*(c - 1)**3/3
Let a(x) be the second derivative of -3*x**2 + 0 + 4*x - 1/2*x**3 + 1/4*x**4. Suppose a(m) = 0. What is m?
-1, 2
Let o(f) be the second derivative of -f**5/4 - 15*f**4/4 - 25*f**3/2 + 125*f**2/2 + 19*f. Find s such that o(s) = 0.
-5, 1
Let p be (-1 - 0) + (-24)/(-8). Suppose 0*m**4 - 4/7 - 8/7*m**3 + 6/7*m + 4/7*m**p + 2/7*m**5 = 0. Calculate m.
-2, -1, 1
Factor 12/7 - 4/7*x**2 + 8/7*x.
-4*(x - 3)*(x + 1)/7
Suppose -26 - 10 = -9*v. Suppose 2/5*u**3 - 1/5*u**v + 1/5*u**2 - 2/5*u + 0 = 0. What is u?
-1, 0, 1, 2
Let i(w) be the third derivative of w**7/8820 - w**6/1260 - w**5/140 + w**4/3 - 8*w**2. Let t(m) be the second derivative of i(m). Find d, given that t(d) = 0.
-1, 3
Let y(d) be the first derivative of 4*d**5/15 - 7*d**4/6 + 2*d**3/3 - 13. What is t in y(t) = 0?
0, 1/2, 3
Let b(u) = u**3 - 3*u**2 + 0*u + 0 + 2*u - 4. Let w be b(3). Factor 6 - w - 3 - k**2.
-(k - 1)*(k + 1)
Let z = -61 - -88. Factor -z + o**2 - 4*o**2 - 3*o - 15*o.
-3*(o + 3)**2
Solve -60*q - 1125*q**3 + 8/3 + 450*q**2 = 0.
2/15
Let n(f) = 12*f**4 + 11*f**3 + 11*f**2 - 11*f - 11. Let s(h) = -h**4 - h**3 - h**2 + h + 1. Let j(z) = -2*n(z) - 22*s(z). Factor j(y).
-2*y**4
Let c(g) be the second derivative of -g**5/210 - g**4/42 - g**3/21 - 3*g**2/2 - 4*g. Let p(d) be the first derivative of c(d). Factor p(s).
-2*(s + 1)**2/7
Let c(k) be the second derivative of k**4/30 + k**3/15 - 2*k**2/5 - 5*k. Factor c(n).
2*(n - 1)*(n + 2)/5
Determine x, given that -3 - 5*x**3 + 10*x**2 + 2 + 1 + 15*x = 0.
-1, 0, 3
Let r be (-8)/(-3)*6/4. Find u, given that -u**4 - r*u**3 + 3*u**3 - 2*u + 1 + 3*u**3 = 0.
-1, 1
Factor -4/7*d - 2/7*d**3 + 6/7*d**2 + 0.
-2*d*(d - 2)*(d - 1)/7
Factor -2/13*o**2 + 2/13*o**3 + 2/13*o**4 - 2/13*o**5 + 0 + 0*o.
-2*o**2*(o - 1)**2*(o + 1)/13
Let t(r) be the first derivative of -3*r**4 + 2*r**3/3 + 7. Suppose t(c) = 0. What is c?
0, 1/6
Suppose -3 = 3*j - 12. Determine u so that -3*u**3 + 0*u**j + u**3 = 0.
0
Factor 0 + 0*z + 2/3*z**5 - 10/3*z**3 + 2*z**2 + 2/3*z**4.
2*z**2*(z - 1)**2*(z + 3)/3
Let g(o) = o**2 + 9*o + 2. Let z be g(-10). Suppose r = -3*r - 3*a + z, -2*r + 5*a = 20. Find t, given that 0 + 1/4*t**2 + r*t = 0.
0
Let n(q) = q**4 + q**2 - q - 1. Let r(y) = -6*y**4 - 3*y**3 + 24*y**2 - 30*y + 15. Let o(m) = 3*n(m) + r(m). Suppose o(k) = 0. Calculate k.
-4, 1
Suppose -35 + 0*b**3 + 35 - 4*b**3 = 0. What is b?
0
Suppose 6*p = p. Let l be -3*3/(-18) + p. Factor -l - v - 1/2*v**2.
-(v + 1)**2/2
Let y(d) = 6*d**3 - 5*d**2 - 18*d - 17. Let c(w) = -3*w**3 + 2*w**2 + 9*w + 8. Let r(p) = 5*c(p) + 2*y(p). Suppose r(l) = 0. Calculate l.
-1, 2
Let m = -14 + 5. Let q be 58/18 + 2/m. Let -3/4*x**2 - 3/4*x - 1/4*x**q - 1/4 = 0. Calculate x.
-1
Factor -1/2*g**2 - 1/2*g + 0.
-g*(g + 1)/2
Let k(y) be the third derivative of -y**7/2940 + y**6/1260 - y**3/2 - 3*y**2. Let t(z) be the first derivative of k(z). Let t(l) = 0. Calculate l.
0, 1
Let v(k) be the third derivative of -2/135*k**5 + 5/108*k**4 + 0 - 2*k**2 + 1/540*k**6 + 0*k - 2/27*k**3. Factor v(q).
2*(q - 2)*(q - 1)**2/9
Let t(y) be the first derivative of -4/3*y**3 - 3 + 0*y**4 + 4/5*y**5 + 0*y**2 + 0*y. Find i, given that t(i) = 0.
-1, 0, 1
Suppose -5*i - b + 5 + 15 = 0, -5*i + 20 = -3*b. Factor -1/4*t**i + 3/4*t**3 - 3/4*t**2 + 1/4*t + 0.
-t*(t - 1)**3/4
Let s(d) be the first derivative of -2*d**3/15 - 4*d**2/5 - 8*d/5 + 1. Let s(y) = 0. Calculate y.
-2
Let u(r) be the second derivative of r**8/126 + 31*r**7/945 + r**6/20 + r**5/30 + r**4/108 - r**2 + r. Let m(c) be the first derivative of u(c). Solve m(f) = 0.
-1, -1/3, -1/4, 0
Let f(v) = -6*v**4 + 6*v**3 - 45*v**2 + 75*v - 51. Let p(x) = x**4 + 0 - 4*x**2 - x**3 - 3*x + 10 + 13*x**2 - 12*x. Let m(c) = -4*f(c) - 21*p(c). Factor m(j).
3*(j - 1)**3*(j + 2)
Let 0*g**3 + 3/8 - 3/4*g**2 + 0*g + 3/8*g**4 = 0. Calculate g.
-1, 1
Let u(f) = -f**2 - f + 1. Let j(y) = 7*y**2 + 7*y - 6. Let z(s) = -j(s) - 6*u(s). Suppose z(w) = 0. Calculate w.
-1, 0
Let x be (8/(-48))/(3/(12/(-1))). Solve -2/3*u**3 + 2/3*u**4 + 0 - 2/3*u**2 + x*u = 0 for u.
-1, 0, 1
Let f = 70 - 66. Let v(h) be the first derivative of 3*h - h**3 + 3/4*h**f - 4 - 3/2*h**2. Let v(k) = 0. Calculate k.
-1, 1
Factor -11*h - 9*h - 4*h**4 - h**3 + 12*h**2 + 5*h**3 + 4 + 4.
-4*(h - 1)**3*(h + 2)
Let p = 13 + -8. Let m(k) be the third derivative of 1/300*k**6 - 1/15*k**3 - 1/50*k**p + 1/20*k**4 + 2*k**2 + 0 + 0*k. Find q, given that m(q) = 0.
1
Let i(u) be the first derivative of 4*u**5 + 15*u**4/4 - 5*u**3/3 - 4. Let i(h) = 0. What is h?
-1, 0, 1/4
Suppose 4*f + 2*n - 10 = -0*n, 2*n = f. Suppose -f*b + b = 0. Determine s, given that b + 4*s**3 + 4*s**2 - 2*s**4 - s - 4*s + 3*s - 2*s**5 - 2 = 0.
-1, 1
Factor -1/3 - 1/6*o**4 + 5/6*o**3 - 3/2*o**2 + 7/6*o.
-(o - 2)*(o - 1)**3/6
Let k be ((-6)/2 + 220/70)*2. Factor k + 4/7*l + 2/7*l**2.
2*(l + 1)**2/7
Let c(u) be the first derivative of -u**5/20 + u**4/4 - 2*u**2 + 4*u + 18. Factor c(a).
-(a - 2)**3*(a + 2)/4
Suppose 0 = -k + 2*k. Let b(u) be the second derivative of -1/12*u**3 + 1/40*u**5 + 0*u**4 + 0*u**2 - 2*u + k. Find y such that b(y) = 0.
-1, 0, 1
Factor 6/5 + 3/5*w - 3/5*w**2.
-3*(w - 2)*(w + 1)/5
Let o(j) be the second derivative of -1/180*j**5 - 1/12*j**4 + j**2 - 1/2*j**3 + 0 + 3*j. Let t(p) be the first derivative of o(p). Factor t(n).
-(n + 3)**2/3
Let m = 4 - 5. Let x = m + 5. What is y in x*y**3 - 2*y**3 - 4*y**4 + 2*y**5 + 4*y - 4*y = 0?
0, 1
Suppose 4*g + 4 = 3*p + 2*p, 0 = -4*g - 4*p + 32. Suppose j - g*j = 0. What is a in -2*a**2 + j*a + 2*a + 2 - 2*a = 0?
-1, 1
Determine i, given that 6*i**2 + 0 - 3/2*i**3 - 6*i = 0.
0, 2
Let l(b) = -4*b**2 + 2*b. Let s(d) = -15*d**2 + 8*d. Let y(g) = -26*l(g) + 6*s(g). Factor y(v).
2*v*(7*v - 2)
Suppose 0*p = -p. Let w(c) be the third derivative of 0*c - 2*c**2 + 0*c**3 - 1/210*c**7 + 0 + p*c**5 + 1/48*c**4 - 1/80*c**6. Suppose w(j) = 0. What is j?
-1, 0, 1/2
Let z(w) = -3*w**3 + 15*w**2 - 12*w + 15. Let b(r) = r**2 - r + 1. Let n be (-3 + 0 - -2)*-1. Let q(l) = n*z(l) - 15*b(l). Find t, given that q(t) = 