2*j*(j + 1)*(j + 2)**2/7
Determine z so that 32/9*z + 0*z**2 + 2/9*z**4 - 32/9 - 8/9*z**3 = 0.
-2, 2
Let u(d) = -2*d**4 + 19*d**3 - 7*d**2 - 2*d. Let s(k) = 7*k**4 - 56*k**3 + 20*k**2 + 7*k. Let n(r) = 4*s(r) + 11*u(r). What is o in n(o) = 0?
-1/2, 0, 1, 2
Let c = -2 - -4. Suppose q**2 - 3*q**c - q - q = 0. Calculate q.
-1, 0
Let l be (-6)/10*(-3464)/(-6). Let u = 348 + l. Suppose 2*j**5 + 2*j - 4/5*j**4 - 4*j**3 - 4/5 + u*j**2 = 0. Calculate j.
-1, 2/5, 1
Let b(y) be the third derivative of -2*y**6/15 + 2*y**5/3 + 23*y**4/24 + y**3/2 + 32*y**2. Factor b(w).
-(w - 3)*(4*w + 1)**2
Let d(q) = q**5 - 31*q**4 - 65*q**3 - 24*q**2. Let b(r) = 16*r**4 + 32*r**3 + 12*r**2. Let h(n) = -9*b(n) - 4*d(n). Solve h(t) = 0 for t.
-3, -1, 0
Let o be (16/28)/((-2)/(-7)). Let a be -1 + o + (5 - 4). Let 0 - 18/7*i**a + 4/7*i = 0. What is i?
0, 2/9
Suppose 0 = -5*q + 25, -3*d - 2*q + 21 + 1 = 0. Suppose 0 = 4*u - 12 + d. Determine z, given that 0 + 4 + u*z - 3 + z**2 = 0.
-1
Suppose -4*r = 3*l - 19, -4*l + 2*r + 3 = -3*l. Let v(w) be the third derivative of 0*w**3 + 0*w + 1/90*w**l + 0 + 4*w**2 - 1/36*w**4. Solve v(s) = 0 for s.
0, 1
Let g(y) be the third derivative of -y**8/672 - 37*y**7/1260 - 7*y**6/120 + 13*y**5/180 + 5*y**4/16 + 11*y**3/36 + 32*y**2. Solve g(q) = 0 for q.
-11, -1, -1/3, 1
Let i(d) = 12*d**3 - 8*d**2 - 12*d + 8. Let n(g) = g**3 - g**2 - g + 1. Let u(o) = -i(o) + 16*n(o). Factor u(w).
4*(w - 2)*(w - 1)*(w + 1)
Let l(d) be the first derivative of -3*d**5/5 - 5*d**4/4 - 2*d**3/3 + 3. Find w, given that l(w) = 0.
-1, -2/3, 0
Let i(d) be the first derivative of 13*d**3/12 - 11*d**2/8 - d/2 + 3. Factor i(a).
(a - 1)*(13*a + 2)/4
Let q(b) be the first derivative of -7*b**6/4 + 3*b**5/5 + 21*b**4/4 - 2*b**3 - 21*b**2/4 + 3*b - 31. Find t, given that q(t) = 0.
-1, 2/7, 1
Let r(z) = -z**3 + 6*z**2 - z - 15. Let h be r(5). Factor 0 - 12*b**2 - 42*b**4 + 109/3*b**3 + 4/3*b + 49/3*b**h.
b*(b - 1)**2*(7*b - 2)**2/3
Let n(l) be the second derivative of 2*l**7/63 + 2*l**6/45 - 2*l**5/15 - 2*l**4/9 + 2*l**3/9 + 2*l**2/3 + 8*l. Factor n(v).
4*(v - 1)**2*(v + 1)**3/3
Suppose 5*i - 22 = 23. Factor 36*l**2 - i + l**3 - 21*l**3 + 4*l**4 + 17 - 28*l.
4*(l - 2)*(l - 1)**3
Let w(r) be the third derivative of -r**6/320 + r**5/160 + 16*r**2. Suppose w(u) = 0. Calculate u.
0, 1
Let t = 273/11 - 266/11. Let v = -17/44 + t. Let -1/4*f + v*f**2 + 0 = 0. What is f?
0, 1
Let b(o) = 3*o + 84. Let s be b(-26). Let q(m) be the second derivative of -12*m**2 - s*m**3 - 3/20*m**5 + 0 - 3/2*m**4 - 2*m. What is f in q(f) = 0?
-2
Let w(x) be the first derivative of -2 + 2*x**2 + 0*x - 2/3*x**3. Factor w(c).
-2*c*(c - 2)
Let l(f) be the third derivative of -f**8/336 + f**6/20 - 2*f**5/15 + f**4/8 - 9*f**2. Factor l(b).
-b*(b - 1)**3*(b + 3)
Let i(t) = -21*t**3 - 36*t**2 - 33*t - 15. Let f(s) = s**4 + 41*s**3 + 73*s**2 + 67*s + 29. Let j(v) = -3*f(v) - 5*i(v). Factor j(b).
-3*(b + 1)**2*(b + 2)**2
Let q(f) be the second derivative of -f**7/560 + f**6/80 - f**4/4 - f**3/6 - 4*f. Let s(j) be the second derivative of q(j). Determine m so that s(m) = 0.
-1, 2
Let n(o) be the first derivative of -8*o**6/3 - 8*o**5/5 + 7*o**4/4 - o**3/3 - 3. Factor n(p).
-p**2*(p + 1)*(4*p - 1)**2
Suppose -f + 13 - 12 = 0, v = -3*f + 5. Factor -4/13*c - 6/13*c**v + 0.
-2*c*(3*c + 2)/13
Let r = 2 + -3. Let h(z) = z**3 + 2*z**2 - 1. Let d be h(r). Factor 1/5*x + d + 1/5*x**2.
x*(x + 1)/5
Let z(b) be the second derivative of -b**7/105 + b**6/60 + b**5/10 - b**4/12 - 2*b**3/3 + 7*b**2/2 - 7*b. Let p(o) be the first derivative of z(o). Factor p(i).
-2*(i - 2)*(i - 1)*(i + 1)**2
Let y(l) be the third derivative of -4*l**2 + 0 - 2/3*l**3 + 1/105*l**7 + 0*l + 1/60*l**6 - 1/10*l**5 - 5/12*l**4. Factor y(g).
2*(g - 2)*(g + 1)**3
Suppose m + 2*a - 8 = 4, -49 = -2*m + a. What is o in -8*o**3 + m - 14*o**4 + 7 + 12*o**4 + 32*o + 3 = 0?
-2, 2
Let y be 24/16*(-20)/6. Let k(b) = 2*b**2 + 10*b + 3. Let p be k(y). Determine j so that 9/2*j - 2*j**p + 5*j**2 + 1 - 6*j**4 - 5/2*j**5 = 0.
-1, -2/5, 1
Let f(u) be the first derivative of -1/2*u**4 + 0*u**2 + 3 - 1/15*u**6 - 1/3*u**3 + 2*u - 3/10*u**5. Let k(j) be the first derivative of f(j). Factor k(s).
-2*s*(s + 1)**3
Let g be (48/(-224))/(6/(-8) + 0). Factor 0 - 2/7*x + 2/7*x**2 - g*x**4 + 2/7*x**3.
-2*x*(x - 1)**2*(x + 1)/7
Let b = -8 - -10. Determine c so that c - 7*c**3 - c**2 + 2*c**2 - 3*c**b + 8*c**3 = 0.
0, 1
Suppose 9 = 3*p - 6. Solve 4*z**4 - 3*z + 5*z - 3*z**4 + 4*z**3 + p*z**2 = 0 for z.
-2, -1, 0
Let m(d) = -13*d**3 + 4*d**2 - 9*d + 9. Let u(q) = -18*q. Let h be u(-1). Let s(b) = 3*b**3 - b**2 + 2*b - 2. Let c(k) = h*s(k) + 4*m(k). Factor c(o).
2*o**2*(o - 1)
Let h(j) be the third derivative of 1/1365*j**7 + 0*j**4 + 0*j**3 + 1/780*j**6 - 1/390*j**5 - 4*j**2 + 0 - 1/2184*j**8 + 0*j. Factor h(d).
-2*d**2*(d - 1)**2*(d + 1)/13
Let a = 28 + -15. Suppose 2*d + 4*f = d - 8, 0 = d - 3*f - a. Factor -2*x + 0*x**5 + 7*x**4 - 8*x**2 + 4*x**5 - d*x**3 + 1 + 2*x**3.
(x - 1)*(x + 1)**3*(4*x - 1)
Let t(c) be the first derivative of -c**7/630 + c**6/90 - c**5/45 - c**2 + 1. Let n(i) be the second derivative of t(i). Factor n(f).
-f**2*(f - 2)**2/3
Let u(v) be the second derivative of 4*v + 0*v**2 + 0 - 1/24*v**4 + 1/40*v**5 - 1/6*v**3. Factor u(a).
a*(a - 2)*(a + 1)/2
Let a(s) be the third derivative of s**5/240 - 10*s**2. Factor a(d).
d**2/4
Let y = 22 - 20. Suppose -3*h + 8 - y = 0. Factor 3/5 + 3/5*f**h + 6/5*f.
3*(f + 1)**2/5
Factor 0 - 6/5*u**3 + 0*u + 3/5*u**4 + 3/5*u**2.
3*u**2*(u - 1)**2/5
What is j in 1/7*j**4 + 3/7*j**2 + 4/7*j**3 - 4/7*j - 4/7 = 0?
-2, -1, 1
Solve n**2 + 0*n**2 - 25 - 10*n + 3*n**2 - 5*n**2 = 0.
-5
Let r(x) be the second derivative of x**7/735 - x**6/420 + x**2/2 - x. Let z(l) be the first derivative of r(l). Factor z(t).
2*t**3*(t - 1)/7
Factor -2/5*c**5 + 0*c + 0*c**2 - 18/5*c**3 + 12/5*c**4 + 0.
-2*c**3*(c - 3)**2/5
Let v(x) = -5*x**3 + 5*x**2 - x - 5. Let i = 61 + -43. Suppose 2 = -2*b - i. Let a(s) = -16*s**3 + 16*s**2 - 4*s - 16. Let z(u) = b*v(u) + 3*a(u). Factor z(p).
2*(p - 1)**2*(p + 1)
Let w = 6 - 3. Suppose 0 = -4*k, -o + w*k + 2*k = 0. Let 4*m**2 + 3*m**4 + o*m - 2*m + 2*m**5 - 7*m**4 = 0. Calculate m.
-1, 0, 1
Let c be 95/(-15)*(-9)/5. Let l = -11 + c. Find s such that -2/5*s**4 + 0*s + 0*s**3 + 0 + l*s**2 = 0.
-1, 0, 1
Let w(q) be the first derivative of 0*q + 3/2*q**2 + q**3 - 2. Factor w(b).
3*b*(b + 1)
Let g = -69 + 72. Let h(r) be the first derivative of g - 3/20*r**4 - 3/5*r**5 + 0*r**3 + 0*r + 0*r**2 - 2/5*r**6. Factor h(y).
-3*y**3*(y + 1)*(4*y + 1)/5
Let 2/9*i**2 + 0 - 2/9*i = 0. Calculate i.
0, 1
Let m(v) = -v - 2*v**2 + 4*v + 5 - 7*v**2 + 2*v. Let k(f) = 22*f**2 - 12*f - 12. Let r(p) = 5*k(p) + 12*m(p). Let r(c) = 0. Calculate c.
0
Suppose -k - k = 0. Let h(d) be the third derivative of 0*d**4 + k + 0*d**3 + 1/120*d**5 + 2*d**2 + 0*d. Suppose h(a) = 0. Calculate a.
0
Suppose 0 = 3*b - 24 + 6. Let t(j) be the second derivative of 0*j**2 + 0 + 1/30*j**b + 0*j**4 + 0*j**3 - 2*j + 1/20*j**5. Factor t(m).
m**3*(m + 1)
Let r(k) be the first derivative of -k**4/6 - 4*k**3/3 - 4*k**2 + 3*k + 1. Let o(w) be the first derivative of r(w). Determine u so that o(u) = 0.
-2
Let o be (1 - (-12)/(-9))*-9. Let b = 3 + o. Suppose -4*k**2 + k**2 - 1 + b*k - 6*k**2 = 0. Calculate k.
1/3
Let m be 11/((-495)/(-36)) - 6/(-5). Factor -1 + 0*h + 1/4*h**m.
(h - 2)*(h + 2)/4
Let v(w) be the first derivative of -8*w - 2/3*w**3 - 4*w**2 + 2. Factor v(k).
-2*(k + 2)**2
Let s(n) = -8*n**3 + 79*n**2 - 199*n + 128. Let z(a) = 4*a**3 - 40*a**2 + 100*a - 64. Let b(g) = 4*s(g) + 7*z(g). Factor b(l).
-4*(l - 4)**2*(l - 1)
Let i(x) = -17*x**3 - 7*x**2 + 17*x + 25. Let l(j) = 4*j**3 + 2*j**2 - 4*j - 6. Let o(a) = -2*i(a) - 9*l(a). Factor o(g).
-2*(g - 1)*(g + 1)*(g + 2)
Suppose 3*n - 4*s - 18 = 0, s = -4*n - 1 + 6. Factor 3/2 + 1/6*k**n + k.
(k + 3)**2/6
Let m(s) be the first derivative of -3*s**5/25 + 6*s**3/5 - 12*s**2/5 + 9*s/5 + 12. Factor m(g).
-3*(g - 1)**3*(g + 3)/5
Suppose 5*k = -d - 8, 2*k - 3 = 4*d + 7. Let l be (k - -6) + 6/(-3). Suppose 3*h**2 - 7/3*h**l - 2/3*h + 0 = 0. Calculate h.
0, 2/7, 1
Let j be 25/(-175) + 93/63. Determine d so that j*d + 10/3*d**5 - 22/3*d**2 + 14*d**3 - 34/3*d**4 + 0 = 0.
0, 2/5, 1
Suppose 0 = -3*v + 2*v. Let a(g) be the 