y**3 - 2/11*y**2 = 0?
-1, 0, 1
Find o such that 8/11*o + 2/11*o**2 + 8/11 = 0.
-2
Let g(m) = -3*m**2 + 2*m + 6. Let n(v) = -v**2 + v + 1. Let a(k) = -2*g(k) + 4*n(k). Factor a(i).
2*(i - 2)*(i + 2)
Let q(l) be the first derivative of 4*l**3/3 + 14*l**2 + 24*l + 19. Let q(s) = 0. Calculate s.
-6, -1
Let t(a) be the second derivative of a**8/1512 - a**6/540 + 5*a**2 - 10*a. Let l(m) be the first derivative of t(m). Solve l(f) = 0 for f.
-1, 0, 1
Let q(d) = 21*d**2 + 126*d + 189. Let z(b) = 3*b**2 + 18*b + 27. Let p(y) = -2*q(y) + 15*z(y). What is o in p(o) = 0?
-3
Solve 2*w + 6*w**2 + 6*w**3 + 26 - 26 + 2*w**4 = 0.
-1, 0
Factor -36*a**2 + 12*a**4 - 16*a + 3*a**5 + 15*a**3 + 43*a - 21*a**3.
3*a*(a - 1)**2*(a + 3)**2
Let m(a) be the first derivative of a**7/42 + a**6/15 - a**4/6 - a**3/6 - a + 4. Let r(w) be the first derivative of m(w). Suppose r(j) = 0. Calculate j.
-1, 0, 1
Let j(k) = -3*k**5 + 18*k**4 - 15*k**3 + 6*k + 6. Let m(q) = 6*q**5 - 37*q**4 + 30*q**3 + q**2 - 13*q - 13. Let n(c) = -13*j(c) - 6*m(c). Factor n(d).
3*d**2*(d - 2)*(d - 1)**2
Let a(x) = -x**4 - x**2 - x - 1. Let h(f) = 16*f**4 + 24*f**3 + 12*f**2 + 12*f + 12. Let z(d) = 12*a(d) + h(d). Factor z(i).
4*i**3*(i + 6)
Suppose 0 = -4*j - j + 125. Let q = 25 - j. Factor q*c**2 + 0 + 0*c + 2/9*c**4 + 2/9*c**3.
2*c**3*(c + 1)/9
Determine v so that 2/11 + 2/11*v**2 + 4/11*v = 0.
-1
Suppose -4*x = -5*p - 12, 4*p - 9 = -p - 3*x. Solve p - 2/9*w + 2/9*w**2 = 0 for w.
0, 1
Let g(j) = 2*j**3 + 2*j**2 - j. Let b be g(1). Let h = b - 1. Let -h*m**3 - 2*m**5 + 0*m**3 - m**4 + 5*m**4 = 0. Calculate m.
0, 1
Factor -2 - 2 + 3*d**2 - 6*d + d**2 + 4*d**3 + 2*d.
4*(d - 1)*(d + 1)**2
Let h = 8 + -11. Let g(u) = -8*u**2 - 8*u. Let o(i) = -7*i**2 - 8*i - 1. Let x(l) = h*g(l) + 4*o(l). Determine b, given that x(b) = 0.
-1
Let g be (-45)/12*5/100. Let d = 41/48 + g. Factor d*x + 0 + 2/3*x**2.
2*x*(x + 1)/3
Let p(t) = t**3 + 20*t**2 - 20*t + 24. Let k be p(-21). Let c = 7 + -7. Find q, given that 2/7*q**k + 2/7*q**4 + c*q**2 + 0 + 0*q = 0.
-1, 0
Let s(c) be the third derivative of c**8/6720 + c**7/840 + c**6/240 + c**5/120 + c**4/8 - 3*c**2. Let f(a) be the second derivative of s(a). Factor f(g).
(g + 1)**3
Let r(i) be the third derivative of i**5/330 - i**4/33 + 4*i**3/33 - 24*i**2 - 2. Determine u, given that r(u) = 0.
2
Find u such that -4*u + u**2 + 4/3 + 5/3*u**3 = 0.
-2, 2/5, 1
Let x(m) be the second derivative of -m**7/21 - m**6/15 - 9*m. Let x(o) = 0. Calculate o.
-1, 0
Suppose 3*r - 12 = 3. Let s(d) = 2*d - 6. Let i be s(r). Determine j, given that 3*j**3 + 3*j**3 - 2*j - 3*j + 3*j - 4*j**i = 0.
-1/2, 0, 1
Let q be (2 + 17/(-8))*-1. Let t(x) be the first derivative of 1/4*x**2 - 2 + 1/3*x**3 + 0*x + q*x**4. Factor t(n).
n*(n + 1)**2/2
Let i(y) be the first derivative of -y**5/5 - 3*y**4/4 - 2*y**3/3 + 7. Factor i(o).
-o**2*(o + 1)*(o + 2)
Factor 6*x**3 + 2*x + x**2 + 2*x**4 + 5*x**2 + 0*x.
2*x*(x + 1)**3
Let o(v) = 9*v**4 - 4*v**2 + 5. Let d(n) = -5*n + 5*n - 4*n**4 + 2*n**2 - 2. Let u(i) = -5*d(i) - 2*o(i). Factor u(y).
2*y**2*(y - 1)*(y + 1)
Let w(d) = d**2 + 3*d - 38. Let v be w(-8). Solve 2/3*g**v + 0 + 0*g = 0 for g.
0
Let t(w) = -2*w**2 + 5*w**2 - 4*w**2. Suppose -4 = -y - 9, 5*g + 3*y = 0. Let a(b) = -2*b**2 - 4*b + 4. Let x(c) = g*t(c) - a(c). Factor x(p).
-(p - 2)**2
Let x(t) be the first derivative of -4*t**3/3 + 2*t**2 + 24*t + 19. Factor x(o).
-4*(o - 3)*(o + 2)
Let t be 3*(-12)/9*-4. Let l be 12/70 - t/(-40). Factor 0*f - l*f**4 + 0 + 0*f**2 + 6/7*f**5 - 2/7*f**3.
2*f**3*(f - 1)*(3*f + 1)/7
Let k be 0 - 2 - (-2 + 0). Suppose k = -4*p + 2*l - l + 9, 2*p - 12 = -2*l. Solve -p*f**2 - 3*f**2 + 3*f**2 = 0 for f.
0
Let u(j) = -j**2 - j. Let k(l) = -6*l**2 + 8*l - 10. Let o(n) = k(n) - 4*u(n). Determine b so that o(b) = 0.
1, 5
Let v(g) = -g - 4. Let p be 0/(1 + -4) + -4. Let m be v(p). Factor 2 + 2*j**4 - 4*j**2 + m + 0.
2*(j - 1)**2*(j + 1)**2
Let d(t) be the third derivative of t**5/240 - t**4/24 + t**3/6 + 22*t**2. Factor d(f).
(f - 2)**2/4
Let s be (15/2)/(1 - -2). Let b = 186 - 185. Factor g**2 + b + s*g.
(g + 2)*(2*g + 1)/2
Let n(a) = -3*a**2 - a - 2. Let p(k) = 2*k**2 - 4*k + 5. Let y be p(2). Let h(w) = -7*w**2 - 2*w - 5. Let f(t) = y*n(t) - 2*h(t). What is q in f(q) = 0?
-1, 0
Let x = -103 + 181. Let c be 2/7 + x/168. Factor -1/4 - c*n**2 + 3/4*n + 1/4*n**3.
(n - 1)**3/4
Let z be (-14)/(-49) - (-12)/7. Find k, given that 1/2*k**z + 0*k + 0 - 1/2*k**3 = 0.
0, 1
Suppose -i + 0*i = 0. Let c(z) be the first derivative of 1/2*z**2 + i*z - 1/2*z**6 + 4/5*z**5 + 1/2*z**4 + 2 - 4/3*z**3. Suppose c(x) = 0. What is x?
-1, 0, 1/3, 1
Let o(w) be the first derivative of -w**4 - 12*w**3 - 54*w**2 - 108*w + 15. Suppose o(x) = 0. Calculate x.
-3
Suppose 53 = -4*z - 35. Let v be (3 - z/(-4))*-2. Factor 0 + 0*g**2 + 2/5*g**3 + 0*g**4 - 1/5*g - 1/5*g**v.
-g*(g - 1)**2*(g + 1)**2/5
Suppose 12 = 5*g + 2. Let d(p) = p**2 - 2*p + 2. Let a be d(g). Let 6 + 9*q - 14 - 3*q**3 + a = 0. Calculate q.
-2, 1
Let h be 2/((-28)/(-73)) + 10/35. Factor h*x + 5/2*x**4 + 21/2*x**2 + 17/2*x**3 + 1.
(x + 1)**3*(5*x + 2)/2
Let 2 + 0*w + w + w**2 - 2 - 2 = 0. Calculate w.
-2, 1
Let f = -284 - -1992/7. Determine x, given that 8/7*x**2 + 2*x**5 + 2*x - f - 4/7*x**4 - 4*x**3 = 0.
-1, 2/7, 1
Let v = 11 + -31/3. Let h(r) be the second derivative of -r + 0 + 1/3*r**3 - v*r**2 - 1/18*r**4. Solve h(i) = 0.
1, 2
Suppose -n = n + 8. Let h be n/10 + 144/60. Solve 0 + 0*p + 2/3*p**5 - 2/3*p**2 + 2*p**3 - h*p**4 = 0 for p.
0, 1
Find m, given that 0*m - 1/6*m**3 + 1/6*m**2 + 0 = 0.
0, 1
Let l = -127/21 + 19/3. Factor -l*z**2 - 8/7*z - 8/7.
-2*(z + 2)**2/7
Let c be (-1)/24*20/(-5). Let h(s) be the third derivative of 1/120*s**5 + 0 + c*s**3 - 1/16*s**4 - s**2 + 0*s. What is k in h(k) = 0?
1, 2
Let r(m) be the first derivative of m**7/189 - m**5/90 - 3*m + 1. Let q(y) be the first derivative of r(y). Factor q(h).
2*h**3*(h - 1)*(h + 1)/9
What is l in 0 + 8/5*l - 2/5*l**4 + 14/5*l**2 + 4/5*l**3 = 0?
-1, 0, 4
Let j(t) = 2*t - 24. Let g be j(13). Suppose 2/5*z**g + 0*z - 2/5 = 0. Calculate z.
-1, 1
Suppose 2*s + 0*i = -3*i - 2, 2*i = 4*s - 12. Let t(k) be the first derivative of 0*k**4 + 1/25*k**5 + 0*k + 0*k**2 + s - 1/15*k**3. Factor t(c).
c**2*(c - 1)*(c + 1)/5
Let t(y) be the second derivative of -y**4/84 + 5*y**3/21 - 25*y**2/14 + 7*y. Factor t(w).
-(w - 5)**2/7
Let h = 13 + -18. Let q be ((-2)/h)/((-2)/(-10)). Find p such that -2 + 4*p**2 - p - 3*p**q + 2*p = 0.
-2, 1
Let k = 491/3 + -163. Let -4/3*r**3 + 0*r - k*r**4 - 2/3*r**2 + 0 = 0. Calculate r.
-1, 0
Let s(h) be the first derivative of h**4/6 - 26*h**3/27 + 2*h**2/9 + 16*h/9 + 19. Let s(m) = 0. What is m?
-2/3, 1, 4
Let u(t) be the first derivative of 24*t**6 - 24*t**5 - 23*t**4/4 + 20*t**3/3 + 2*t**2 + 7. Factor u(n).
n*(3*n - 2)**2*(4*n + 1)**2
Let l = 1458 - 1458. Solve 4*j - 4/3*j**3 - 8/3 + l*j**2 = 0.
-2, 1
Factor -o**3 - 142*o**5 - o + o + 141*o**5 - 2*o**4.
-o**3*(o + 1)**2
Let x(b) be the first derivative of -4*b**3/15 + 8*b**2/5 + 9. Factor x(y).
-4*y*(y - 4)/5
Let y(k) be the third derivative of 4*k**5/25 + k**4 + 5*k**3/2 + 17*k**2. Factor y(a).
3*(4*a + 5)**2/5
Let c = 0 + 10. Let p = -5 + c. Factor 0*k**2 + 2/7*k + 0*k**4 + 0 - 4/7*k**3 + 2/7*k**p.
2*k*(k - 1)**2*(k + 1)**2/7
Let v(t) be the second derivative of -3/40*t**6 + 1/2*t**3 + 0 + 0*t**2 - t**4 + t + 39/80*t**5. Factor v(f).
-3*f*(f - 2)**2*(3*f - 1)/4
Let m(o) be the third derivative of 0*o - 1/12*o**4 + 1/30*o**5 + 0 - 2/3*o**3 + o**2. Determine n, given that m(n) = 0.
-1, 2
Suppose 2/11*i**4 + 0 + 6/11*i**3 + 2/11*i + 6/11*i**2 = 0. Calculate i.
-1, 0
Find w such that -4/11*w + 0 - 6/11*w**4 - 4/11*w**3 + 14/11*w**2 = 0.
-2, 0, 1/3, 1
Let p(u) be the first derivative of -u**3/12 + u**2/8 + 3*u/2 + 17. Factor p(j).
-(j - 3)*(j + 2)/4
Factor 8*z - 6*z + 2 - 2 + 2*z**2.
2*z*(z + 1)
Let v(n) = 3*n**3 - 12*n**2 + 15*n - 6. Let x(j) = -6*j**3 + 24*j**2 - 30*j + 12. Suppose 3*r - 25 = 8*r. Let m(p) = r*v(p) - 3*x(p). Factor m(c).
3*(c - 2)*(c - 1)**2
Let f = -743/24 - -31. Let o(j) be the second derivative of -3/80*j**5 + 1/8*j**3 + 2*j + 1/4*j**2 - f*j**4 + 0. Solve o(m) = 0.
-1, -2/3, 1
Let n(a) be the second derivative of -8/9*a**2 - 4/27*a**3 + 5/27*a**4 + 1/189*a**7 + 5*a - 4/135*a**6 + 1/90*a**5