.
-1, 0, 1, 2
Suppose 3*t = t - 3*h + 10, 4 = 4*t - 2*h. Factor -1/6*f**3 - 1/3 + 1/6*f + 1/3*f**t.
-(f - 2)*(f - 1)*(f + 1)/6
Let r be 2 + 21 - (-5 - -1). Suppose -22*s = -r*s. Factor 0 + 0*t + 2/9*t**3 + s*t**2.
2*t**3/9
Let r(a) = -5*a**4 - 5*a**3 + 2*a**2 + 2*a + 3. Let f(j) = 4*j**4 + 4*j**3 - 2*j**2 - 2*j - 2. Let t(l) = 3*f(l) + 2*r(l). Find k, given that t(k) = 0.
-1, 0, 1
Let a(u) = u**3 + u**2 + 2. Let h be a(0). Factor -3/2*x**h - 3/2*x**4 + 0 + 3*x**3 + 0*x.
-3*x**2*(x - 1)**2/2
Factor 980 - 228*j + 5*j**2 + 445*j - 357*j.
5*(j - 14)**2
Find t, given that 5/4*t**4 + 1/4*t**5 + 0 - 3/2*t**3 + 0*t + 0*t**2 = 0.
-6, 0, 1
Let t be (4/16*-6*-1)/6. Let q(g) be the first derivative of -2 + t*g**2 - 1/6*g**3 + g. Let q(d) = 0. What is d?
-1, 2
Let u = -5 + 5. Let z = -113/3 - -38. Factor t**3 - z*t**4 + 1/3*t + u - t**2.
-t*(t - 1)**3/3
Let p(z) be the second derivative of z**4/9 - z**3/6 - z**2/6 + 5*z. Solve p(w) = 0.
-1/4, 1
Let g(r) be the second derivative of 0 - 2/3*r**3 - 1/12*r**4 + 0*r**2 + 2*r - 1/60*r**5 - 1/720*r**6. Let t(c) be the second derivative of g(c). Factor t(a).
-(a + 2)**2/2
Let i(h) be the second derivative of -h**4 + 2*h**3 - 3*h**2/2 - 5*h. Find y, given that i(y) = 0.
1/2
Let d = -62/3 - -827/40. Let t(c) be the third derivative of 0 - 1/6*c**3 - d*c**6 - c**2 + 0*c + 1/24*c**4 + 1/60*c**5. Suppose t(b) = 0. Calculate b.
-1, 1
Find m such that 7/4*m**4 - 1/2 + 9/4*m - 9/4*m**3 - 5/4*m**2 = 0.
-1, 2/7, 1
Let d(p) be the first derivative of 1/10*p**4 + 2 + 8/5*p + 8/5*p**2 + 2/3*p**3. Factor d(m).
2*(m + 1)*(m + 2)**2/5
Let 18*s**2 + 30*s**2 - 3 - 28*s**3 - 12*s - 5 = 0. Calculate s.
-2/7, 1
Let m = 25 - 25. Let i be 84/8*(-2)/(-12). Solve 1/2*z - i*z**2 + m = 0.
0, 2/7
Let u be 2 - (-4)/20 - 2. Find g, given that -1/5*g - 1/5 + u*g**2 + 1/5*g**3 = 0.
-1, 1
Solve -k + 3*k - 28*k**2 + 25*k**2 = 0 for k.
0, 2/3
Let j(q) be the first derivative of -q**5/5 - q**4/4 + 3*q**3 - 11*q**2/2 + 4*q - 16. Find p such that j(p) = 0.
-4, 1
Let j(n) be the third derivative of -2/105*n**5 + 0*n + 0*n**3 + 1/21*n**4 + 1/420*n**6 + 0 + 3*n**2. Factor j(c).
2*c*(c - 2)**2/7
Let j(h) be the third derivative of -h**5/42 - 13*h**4/84 + 2*h**3/7 - h**2. Factor j(r).
-2*(r + 3)*(5*r - 2)/7
Let c(w) be the third derivative of -5*w**8/1008 - 4*w**7/315 + w**6/90 + w**5/18 + w**4/72 - w**3/9 - 12*w**2. Suppose c(s) = 0. Calculate s.
-1, 2/5, 1
Let x be (-4)/14 - (-2)/7. Suppose x = -5*i - 2*v + 2, i - v - 2 = 4. Suppose -1/4*t - 1/4*t**i + 1/2 = 0. Calculate t.
-2, 1
Let w = 361 + -2523/7. Find u, given that 2/7*u**2 + 2/7 - w*u = 0.
1
Factor 44*r - 14 + 4 + 5*r**2 - 39*r.
5*(r - 1)*(r + 2)
Let a = 86/21 - 10/7. Let -8/3 - a*i - 2/3*i**2 = 0. Calculate i.
-2
Let i = -6 - -11. Let t(g) = -g**3 - 4*g**2 + 6*g + 7. Let u be t(-5). Let -3 + 2*z**u - 3*z + 2*z**3 + 4*z**5 - 3*z**4 + 4 - 3*z**i = 0. Calculate z.
-1, 1
Let c(q) be the third derivative of -q**5/20 - q**4/4 - q**3/2 - 18*q**2. Determine w, given that c(w) = 0.
-1
Let h = 19 - 19. Solve h*f + 4*f - 8 + 3*f**2 + f**2 = 0.
-2, 1
Let q be ((-2)/8)/(20/(-40)). Solve 1/2*z**2 - q - 1/4*z**3 + 1/4*z = 0.
-1, 1, 2
Let r(u) be the first derivative of 17*u**6/6 - 19*u**5/5 - 8*u**4 + 4*u**3/3 + 65. Find a, given that r(a) = 0.
-1, 0, 2/17, 2
Let u(g) be the third derivative of 0 + 0*g**5 + 1/150*g**6 + 0*g**4 - 1/84*g**8 - 1/525*g**7 + 0*g + 0*g**3 - 5*g**2. Factor u(f).
-2*f**3*(2*f + 1)*(5*f - 2)/5
Let y(i) be the third derivative of -i**7/350 + i**6/100 - i**5/100 + 10*i**2. Factor y(w).
-3*w**2*(w - 1)**2/5
Determine y, given that 0 - 35/2*y**2 + 53/2*y**3 - 7*y**4 + 3*y = 0.
0, 2/7, 1/2, 3
Let x(y) = -2*y**2 - 20*y + 6. Let l(k) = k**2 + 7*k - 2. Suppose 0 = g - 0 - 3. Let n(c) = g*x(c) + 8*l(c). Factor n(i).
2*(i - 1)**2
Let h = 110 + -107. Let k(z) be the first derivative of 9/4*z**4 + z**3 + 0*z - h*z**2 - 3. Determine o, given that k(o) = 0.
-1, 0, 2/3
Let m(n) be the second derivative of 0*n**4 + 1/30*n**5 + 0 - 1/3*n**3 - 3/2*n**2 + 3*n. Let i(y) be the first derivative of m(y). Find u such that i(u) = 0.
-1, 1
Suppose -5*a + 11 = 31. Let v(z) = 5*z**2 - 3*z - 2. Let y(g) = -g**2 + g. Let m = -2 - -1. Let r(l) = a*y(l) + m*v(l). Let r(k) = 0. Calculate k.
-2, 1
Let i(p) = -3*p**2 - 4*p - 3. Let j(r) = 12*r**2 + 15*r + 12. Let t be 18/(-45) - 8/5. Let x(b) = t*j(b) - 9*i(b). Find n such that x(n) = 0.
-1
Let o(r) be the third derivative of r**6/1440 + r**5/160 + r**4/48 + r**3/6 + r**2. Let i(w) be the first derivative of o(w). Solve i(d) = 0.
-2, -1
Suppose 0 = -5*y + 4*z + 4, -3*z = -5*y - 0*z + 3. Let x(q) be the third derivative of 0*q + y*q**4 + 0 - q**2 + 0*q**3 - 1/30*q**6 - 1/60*q**5. Factor x(t).
-t**2*(4*t + 1)
Factor -3/4*b**4 + 3/2*b**3 + 0 + 3/4*b**2 - 3/2*b.
-3*b*(b - 2)*(b - 1)*(b + 1)/4
Let a be 2*-1 + 24/6. Factor 4*g + 4 + 2*g**2 - g**a + 0*g.
(g + 2)**2
Suppose -3*i - 2 = -l, -2*l + 8 = -3*i + 1. Let k(a) be the first derivative of 1/2*a**2 - 1/3*a**3 - i + 0*a. Find y, given that k(y) = 0.
0, 1
Let g(a) be the second derivative of -a**6/12 + a**5/4 - 5*a**3/6 + 5*a**2/4 - 8*a. Factor g(n).
-5*(n - 1)**3*(n + 1)/2
Let y(g) be the second derivative of -2*g**4/3 + g**3 + g**2 + 5*g. Find r, given that y(r) = 0.
-1/4, 1
Factor 2/19*w**2 + 6/19 - 8/19*w.
2*(w - 3)*(w - 1)/19
Let t be (-1)/(-5) - (-9)/5. Factor 2 - 6 - t*u**4 + 3 - 1 + 4*u**2.
-2*(u - 1)**2*(u + 1)**2
Let i(d) = -d + 2. Let u be i(0). Determine l, given that 6 + 4 - 9 + 3*l**u + 2 - 6*l = 0.
1
Let s(t) = 7*t**5 - 11*t**4 + t**3 + 3*t**2 - 3*t. Let a(x) = x**5 - x**4 - x**3 + x**2 - x. Let u(w) = -3*a(w) + s(w). Factor u(o).
4*o**3*(o - 1)**2
Let w(z) be the first derivative of -9*z**5/20 + 5*z**4/4 - z**3/2 - 3*z**2/2 + 4*z + 3. Let y(s) be the first derivative of w(s). Factor y(h).
-3*(h - 1)**2*(3*h + 1)
Let c(o) be the second derivative of o**6/240 - o**4/24 - 2*o. Factor c(v).
v**2*(v - 2)*(v + 2)/8
Let h(v) = 6*v**2 + 19*v + 23. Let z(c) = 9*c**2 + 29*c + 34. Suppose 4*t - t = -15. Let n(i) = t*z(i) + 7*h(i). Suppose n(j) = 0. What is j?
-3, -1
Let z = -123 - -863/7. Factor 0 - 2/7*j**2 - z*j.
-2*j*(j + 1)/7
Let z(m) = -12*m**2 - 11*m + 23*m**2 + 12 - 12*m**2. Let b be z(-12). Factor 0 + b*u - 2/3*u**3 - 2/3*u**2.
-2*u**2*(u + 1)/3
Let o(c) = 20*c**3 + 120*c**2 - 6*c - 134. Let d(p) = 4*p**3 + 24*p**2 - p - 27. Let x(a) = -14*d(a) + 3*o(a). Factor x(g).
4*(g - 1)*(g + 1)*(g + 6)
Let d(r) = r**2 + 7*r + 6. Let k be d(-6). Factor k*n - 2/7*n**3 + 6/7*n**4 + 0 + 8/7*n**5 + 0*n**2.
2*n**3*(n + 1)*(4*n - 1)/7
Let x(q) = 2*q**2 - 6*q + 4*q - 6*q - q**3 - 7 + 8*q**2. Let j be x(9). Solve -1/4 - 1/4*d + 1/4*d**j + 1/4*d**3 = 0.
-1, 1
Factor -1/3 - 1/2*f**4 + 17/6*f**2 + 2/3*f**5 - 13/6*f**3 - 1/2*f.
(f - 1)**3*(f + 2)*(4*f + 1)/6
Let h(b) be the third derivative of b**7/420 + b**6/160 - b**4/96 - 20*b**2. Factor h(r).
r*(r + 1)**2*(2*r - 1)/4
Factor -8/5 + 2/5*o**2 - 6/5*o.
2*(o - 4)*(o + 1)/5
Let f = 32 - 28. Let 0 + a**2 + a**f + a**3 - a - 2*a**2 + 0 = 0. What is a?
-1, 0, 1
Let g be 0/(-2) + 3 + 0. Suppose -g = 2*n - 9. Factor 1/5*j**4 + 0*j - 2/5*j**2 + 1/5 + 0*j**n.
(j - 1)**2*(j + 1)**2/5
Let n(f) be the first derivative of -3*f - 21/8*f**4 - 5 + f**3 + 21/4*f**2. Solve n(q) = 0 for q.
-1, 2/7, 1
Suppose 0*m - 2 = -m. Let y be ((-6)/8)/((-15)/10). Solve -m*u + 3/2*u**2 + y = 0 for u.
1/3, 1
Let q(d) be the third derivative of -d**9/7560 + d**7/2100 - d**3/6 + d**2. Let z(y) be the first derivative of q(y). Factor z(i).
-2*i**3*(i - 1)*(i + 1)/5
Let p be (-4 - -6 - 3 - -2) + 1. Suppose 0*y - 1/7*y**5 + 1/7*y**4 + 1/7*y**3 + 0 - 1/7*y**p = 0. What is y?
-1, 0, 1
Factor -26*l + 29*l + 48*l + 129*l**2 + 84*l**3 + 6.
3*(l + 1)*(4*l + 1)*(7*l + 2)
Let 16/3*u**2 - 2/3*u - 77/6*u**3 + 49/6*u**4 + 0 = 0. What is u?
0, 2/7, 1
Let v(d) be the third derivative of d**5/150 + d**4/60 - 2*d**3/15 + 5*d**2. Factor v(i).
2*(i - 1)*(i + 2)/5
Let z(m) = 4*m**4 - 49*m**3 + 45*m**2. Let v(a) = -a**4 + 10*a**3 - 9*a**2. Let r(h) = 11*v(h) + 2*z(h). Factor r(w).
-3*w**2*(w - 3)*(w - 1)
Let z(y) = y**3 - y**2. Let a(m) = 21*m**3 - 15*m**2. Let j(l) = -a(l) + 18*z(l). What is k in j(k) = 0?
-1, 0
Let w(i) be the second derivative of i**5/5 + 2*i**4/3 - 2*i**3 + 3*i. Let w(m) = 0. Calculate m.
-3, 0, 1
Let a = 798/5 + -