 0 = 0.
-1, 0, 1
Suppose 5*l + 48 = 18. Let h = l - -6. Find i, given that h + 1/4*i**3 + 0*i + 0*i**2 = 0.
0
Let h(x) = -x**3 + 8*x**2. Let a(t) = -t**3 - 8*t**2 - 2*t - 8. Let l be a(-8). Let n be h(l). Factor 1/3*v**2 + 0*v - 1/3*v**3 + n.
-v**2*(v - 1)/3
Let a = -3 - -3. Suppose n + a - 4 = 0. Let -2/5*r**2 + 2/5*r**n + 2/5*r**3 + 0 - 2/5*r = 0. What is r?
-1, 0, 1
Let l(h) be the second derivative of -5*h**4/3 + 65*h**3/6 - 15*h**2/2 - 24*h. Factor l(v).
-5*(v - 3)*(4*v - 1)
Let d be (5/10)/((-10)/16 + 1). Factor 0 + d*w + 2*w**2 - 2/3*w**4 + 0*w**3.
-2*w*(w - 2)*(w + 1)**2/3
Suppose 0 - 1/3*b**4 + 1/3*b**2 + 0*b**3 + 1/6*b - 1/6*b**5 = 0. Calculate b.
-1, 0, 1
Solve -27*x**3 + 6*x**3 + x + 8*x**3 + 12*x**3 = 0 for x.
-1, 0, 1
Factor 0 - 1/3*l**3 + 0*l**2 + 1/3*l.
-l*(l - 1)*(l + 1)/3
Let y = 19 + -17. Let 15*v**4 - 12*v**2 + 36*v**2 - 3*v**4 + 4 + 28*v**3 + 18*v + 8*v**y + 2*v**5 = 0. Calculate v.
-2, -1
Find z such that 1/6*z**3 - 1/3*z - 1/6*z**2 + 0 = 0.
-1, 0, 2
Let f = -35 - -68. Let z = 133/4 - f. Suppose -1/4*x + z*x**3 - 1/4*x**2 + 1/4 = 0. Calculate x.
-1, 1
Let x = -3 - -3. Suppose 3*i - 16 = -i. Factor x + 0*f - 1/4*f**5 + 1/4*f**3 + 1/4*f**2 - 1/4*f**i.
-f**2*(f - 1)*(f + 1)**2/4
Suppose o - 2*h + 1 = 0, 2*o - 12 = -5*h + 2*h. Find x such that 4/3*x**5 + 4/3*x - 2/3*x**2 + 1/3*x**4 - 8/3*x**o + 1/3 = 0.
-1, -1/4, 1
Suppose -3 + 1 = w - 5*f, 0 = -3*w - 3*f + 12. Let v(r) be the first derivative of 0*r**2 + 0*r + 2/27*r**w - 1. Solve v(b) = 0.
0
Let d = -3 + 6. Let a(b) be the first derivative of 0*b + 0*b**2 - 1 + 1/2*b**4 - 2/3*b**d. Factor a(t).
2*t**2*(t - 1)
Let f(a) be the first derivative of a**4/18 + 13*a**3/27 + 5*a**2/18 - 2*a/3 - 39. Find j, given that f(j) = 0.
-6, -1, 1/2
Suppose 0 = -7*g + 4*g + 30. Let b be 2 + ((-32)/g - -2). Find c, given that -2/5*c**2 - b + 6/5*c = 0.
1, 2
Let m(q) = 7*q - 21. Let t be m(3). Let f(x) be the first derivative of 1/6*x**3 + t*x**2 + 0*x - 1. Factor f(j).
j**2/2
Suppose 0*n = -4*n + 16. Let c(g) be the third derivative of 1/105*g**7 + 1/24*g**6 + 0*g**3 + g**2 + 1/15*g**5 + 0 + 0*g + 1/24*g**n. Factor c(x).
x*(x + 1)**2*(2*x + 1)
Let u(a) be the second derivative of 0 - 1/60*a**4 + 3*a + 1/2*a**2 - 2/15*a**3 + 1/150*a**5. Let o(j) be the first derivative of u(j). What is v in o(v) = 0?
-1, 2
Let z(b) be the second derivative of b**5/140 + b**4/56 + 2*b**2 - 7*b. Let s(v) be the first derivative of z(v). Solve s(h) = 0 for h.
-1, 0
Let q(g) be the second derivative of g**4/21 - 8*g**2/7 + 7*g. Find x such that q(x) = 0.
-2, 2
Factor 0 - 2/7*d**2 + 3/7*d - 1/7*d**3.
-d*(d - 1)*(d + 3)/7
Factor -2*a**3 - 48/7 - 8/7*a + 44/7*a**2.
-2*(a - 2)**2*(7*a + 6)/7
Suppose 5*u = -4*k, -3*u - 8 = 3*k - 5. Suppose u*v - 6 = v. Find t such that -2*t**3 + 4*t**2 + t - 10*t**v - 3*t + 6*t**4 + 4*t**5 = 0.
-1, -1/2, 0, 1
Let n be (17119/(-76))/(10/8). Let s = 181 + n. Suppose 2/5*i**4 + 4/5*i - 2/5 + 0*i**2 - s*i**3 = 0. Calculate i.
-1, 1
Find y such that -14/3*y**4 - 16/3*y**3 - 4/3*y**5 + 4/3*y - 4/3*y**2 + 2/3 = 0.
-1, 1/2
Let g = 4 + -2. Factor t**5 - t - 2*t**4 + 2*t**2 + 4*t - g*t**5 - 2*t.
-t*(t - 1)*(t + 1)**3
Let h(o) = -o. Let x be h(0). Let y be x + (-20)/(-8) - 2. What is j in -y*j**3 + 0 + 0*j - 1/2*j**2 = 0?
-1, 0
Let k(t) be the second derivative of t**10/60480 + t**9/30240 - t**8/13440 - t**7/5040 - t**4/12 - t. Let i(p) be the third derivative of k(p). Factor i(b).
b**2*(b - 1)*(b + 1)**2/2
Let t(m) be the second derivative of m**5/70 + m**4/21 + m**3/21 - 30*m. Factor t(b).
2*b*(b + 1)**2/7
Let a = 2 + 0. Determine r, given that 22*r**2 - r - 3*r - 4*r**a = 0.
0, 2/9
Let x(d) be the second derivative of 0*d**2 + 7/135*d**6 - 8/45*d**5 + 0 - 2/27*d**3 - 6*d + 11/54*d**4. Determine s so that x(s) = 0.
0, 2/7, 1
Let w = -18 - -20. Let n(t) be the second derivative of -3*t - 3/4*t**w + 1/2*t**3 + 0 - 1/8*t**4. What is s in n(s) = 0?
1
Let q(d) be the first derivative of -16/5*d + 52/15*d**3 + 12/5*d**2 - 24/25*d**5 + 1/3*d**6 - 5 - 11/10*d**4. Find h such that q(h) = 0.
-1, 2/5, 2
Let l(r) be the second derivative of 5*r**7/42 + r**6/2 - r**5/4 - 5*r**4/4 - 24*r. Suppose l(t) = 0. What is t?
-3, -1, 0, 1
Find z such that -2*z - 4/3*z**2 - 2/9*z**3 - 8/9 = 0.
-4, -1
Let i be (-23)/(-1 - 0/(-2)). Suppose f + f = -2*y + 8, 0 = 2*f - 3*y - i. Factor f*w**3 + 7*w**2 + 17*w**3 + 2 + 12*w + 8*w**4 + 19*w**2.
2*(w + 1)**2*(2*w + 1)**2
Suppose 5*c + 6*i + 16 = 2*i, -2*c + i + 4 = 0. Find d, given that 2/3*d**3 + c*d - 1/3*d**4 + 0 - 1/3*d**2 = 0.
0, 1
Let h(o) be the first derivative of o**3/3 - 6*o**2 + 36*o - 12. Let h(x) = 0. Calculate x.
6
Let p be 6*2/(-63)*6/(-4). Determine x, given that 0*x**2 + 0 - p*x**3 + 0*x = 0.
0
Suppose 0 = -3*n - 4*o - 20 + 2, -4*n = -4*o - 4. Let k = n - -2. Factor k*c + 0 - 2/7*c**2.
-2*c**2/7
Suppose 0 = 3*v - 2*l - 3, -5*l - 4 = -3*v - 1. Suppose v = -3*b + 7. Let -b*u**4 - 2*u + 0 - 5*u**5 + 3*u**5 - 2 + 4*u**2 + 4*u**3 = 0. Calculate u.
-1, 1
Let f(u) be the first derivative of u**4/18 + 4*u**3/27 - 9. Find d, given that f(d) = 0.
-2, 0
Let b(c) be the first derivative of 2/7*c - 2/7*c**2 + 2/21*c**3 + 3. Determine v, given that b(v) = 0.
1
Let x = -8/3 - -3. Factor 0*u**3 + x*u**5 + 2/3*u**4 + 0 - 2/3*u**2 - 1/3*u.
u*(u - 1)*(u + 1)**3/3
Let d(y) = y**3. Let h(o) = -2*o**4 - 28*o**3 - 18*o**2. Let f(a) = -8*d(a) - h(a). Factor f(g).
2*g**2*(g + 1)*(g + 9)
Let t = 238 - 1159/5. Let s(f) be the second derivative of 4*f**2 - 7/6*f**4 + 3*f**6 + 20/3*f**3 - t*f**5 - f + 0. Let s(i) = 0. Calculate i.
-2/5, -2/9, 1
Factor -2/13*l**3 + 0*l**2 + 2/13*l + 0.
-2*l*(l - 1)*(l + 1)/13
Let p = 18/19 - 88/133. Factor -p*f + 0 + 2/7*f**3 + 0*f**2.
2*f*(f - 1)*(f + 1)/7
Let w(p) = -p**2 + 9*p + 138. Let a be w(17). Let n = -62/15 + 24/5. Let n*b**a - 1/3 - 1/3*b - 1/3*b**4 - 1/3*b**5 + 2/3*b**3 = 0. What is b?
-1, 1
Factor a - 16 - 4*a**2 + 3*a**2 + 7*a.
-(a - 4)**2
Let f(q) = -3*q**4 + 30*q**3 - 75*q**2 + 2*q. Let m(k) = -3*k**4 + 30*k**3 - 75*k**2 + 3*k. Let l(r) = -3*f(r) + 2*m(r). Suppose l(x) = 0. What is x?
0, 5
Let h(x) be the third derivative of -x**6/660 + x**5/330 + x**4/66 - 9*x**2. Factor h(f).
-2*f*(f - 2)*(f + 1)/11
Let p(c) be the third derivative of 0 - 1/150*c**5 + 1/20*c**4 + 0*c - 5*c**2 - 2/15*c**3. Determine s so that p(s) = 0.
1, 2
Let p(i) be the first derivative of i**4/18 + 18. Solve p(s) = 0 for s.
0
Let g(v) = -11*v**2 - 3*v. Let d = -18 - -25. Let z(c) = -5*c**2 - c. Let s(q) = d*z(q) - 3*g(q). Factor s(x).
-2*x*(x - 1)
Factor 2*t + 30*t**3 - 9*t**4 - 6*t**3 + 0*t**4 - 13*t**2.
-t*(t - 2)*(3*t - 1)**2
Let v(u) be the first derivative of 4 + 3/8*u**2 + 0*u + 3/20*u**5 - 1/4*u**3 - 3/16*u**4. Factor v(p).
3*p*(p - 1)**2*(p + 1)/4
Let x(u) be the first derivative of 0*u**5 - 1/2*u**6 - 5 + 0*u**2 + 3/4*u**4 + 0*u**3 + 0*u. Factor x(h).
-3*h**3*(h - 1)*(h + 1)
Let k(p) = 2*p**5 + 10*p**4 + 2*p**3 - 6*p**2 - 4*p + 6. Let b(c) = c**4 + c**3 - c**2 - c + 1. Let h(a) = 20*b(a) - 2*k(a). Let h(w) = 0. Calculate w.
-2, -1, 1
Let z be (6 - 0)/(3/2). Let -4*l**2 + 0*l**z + l**4 - 8*l**3 + 9*l**5 + 2*l**4 = 0. What is l?
-2/3, 0, 1
Let x(v) = 6*v**4 + 9*v**3 + 5*v**2 - 3*v + 5. Let l(z) = -24*z**4 - 36*z**3 - 21*z**2 + 12*z - 21. Let d(w) = -5*l(w) - 21*x(w). Let d(f) = 0. What is f?
-1, 0, 1/2
Let j = 199 - 59. Let z = -275/2 + j. What is o in 2*o**3 + z*o**2 + 0 + 1/2*o = 0?
-1, -1/4, 0
Let r(a) = -a**2 + 2*a - 3. Let i be r(3). Let w = -3 - i. Factor -2*o**2 + 0*o**3 - 2*o**w - 10*o**2 - 24*o - 16.
-2*(o + 2)**3
Let g be (-6)/(-16)*26/39. Determine d, given that -1/4*d**2 + 1/2 - g*d = 0.
-2, 1
Factor 1/4*x**5 + 1/4*x**2 + 3/4*x**3 + 3/4*x**4 + 0*x + 0.
x**2*(x + 1)**3/4
Let q be (2/7)/(3/21). Factor -1/2*r**q + 1 - 1/2*r.
-(r - 1)*(r + 2)/2
Let b(a) be the third derivative of a**7/1680 + a**6/720 - a**5/240 - a**4/48 - 2*a**3/3 - 5*a**2. Let y(v) be the first derivative of b(v). Factor y(c).
(c - 1)*(c + 1)**2/2
Suppose -1/2*a + 1/2*a**3 - 3*a**2 + 3 = 0. Calculate a.
-1, 1, 6
Let x = 8 - 5. Find n such that 5*n - 11*n**4 + 20*n**5 - x*n - 37*n**4 - 15*n**2 + 41*n**3 = 0.
0, 2/5, 1/2, 1
Let o be (2/(-3))/((-6)/63). Factor -15*t + o*t - t**2 + 3*t**2 + 8.
2*(t - 2)**2
Let k(z) be the first derivative of 1 - 8/9*z + 2/27*z**3 + 0*z**2. Factor k(u).