3*(d - 1)*(d + 1)**3
What is n in -4/13*n + 2/13*n**2 + 0 = 0?
0, 2
Suppose o - 1/4*o**5 + 9/4*o**3 + 11/4*o**2 + 1/4*o**4 + 0 = 0. Calculate o.
-1, 0, 4
Let q(n) = -n**2 - 5*n + 4. Let y be (3 - 0) + -2 + 6. Let w(h) = 4*h**2 + 16*h - 13. Let r(s) = y*q(s) + 2*w(s). Find j, given that r(j) = 0.
1, 2
Let h be (-260)/(-450) - (32/18 - 2). Solve -h - 2/5*x**3 - 2*x + 24/5*x**2 - 8/5*x**4 = 0.
-2, -1/4, 1
Let h be -4*1*8/(-16). Let b(k) be the third derivative of 1/60*k**6 + 0*k**4 + 1/105*k**7 + 1/504*k**8 + 0*k + 1/90*k**5 + 0*k**3 + 0 + h*k**2. Factor b(g).
2*g**2*(g + 1)**3/3
Let a = -16 - -16. Let d(o) be the second derivative of 1/48*o**4 - 1/80*o**5 + 1/168*o**7 - 1/120*o**6 + 0*o**3 + 0 + a*o**2 - o. Factor d(f).
f**2*(f - 1)**2*(f + 1)/4
Let b(w) be the second derivative of 3*w - 1/30*w**3 + 0 + 1/100*w**5 - 1/5*w**2 + 1/30*w**4. Find f, given that b(f) = 0.
-2, -1, 1
Let m be 2 - ((-9)/(-2))/(-1 - -4). Factor m*c**2 + 2 + 2*c.
(c + 2)**2/2
Let -10/7*g - 2/7*g**3 - 4/7 - 8/7*g**2 = 0. What is g?
-2, -1
Let w(k) = -7*k**3 - 7*k**2 - k - 1. Let g(p) = p**3 + p**2. Let u(c) = 24*g(c) + 3*w(c). Factor u(o).
3*(o - 1)*(o + 1)**2
Let j(t) be the first derivative of 0*t + 2/3*t**3 + 4*t**2 + 4. Let j(q) = 0. Calculate q.
-4, 0
Factor -2/13*x**3 + 0*x**2 + 0 + 0*x.
-2*x**3/13
Let t(u) = 61*u**3 - 12*u + 5. Let l(x) = 73*x**3 - 36*x + 17 + 109*x**3 - 1. Let o(c) = -10*c. Let j be o(-1). Let y(a) = j*t(a) - 3*l(a). Factor y(m).
2*(2*m + 1)*(4*m - 1)**2
Let p = -19 - -20. Let z(x) be the first derivative of 3*x**2 + 2/5*x**5 + p + 2/3*x**3 - 4*x - 3/2*x**4. Solve z(q) = 0 for q.
-1, 1, 2
Let a(f) be the second derivative of f**7/7 - 3*f**6/10 - 6*f**5/5 + 13*f**4/4 - 6*f**2 - 10*f. Solve a(r) = 0.
-2, -1/2, 1, 2
Let m = 4/5 - -14/5. Let k(p) be the first derivative of 0*p + 0*p**2 + m*p**5 - 7/2*p**4 + 3 - 4/3*p**3. Suppose k(f) = 0. Calculate f.
-2/9, 0, 1
Let w(n) be the first derivative of 1/90*n**6 + 1/6*n**2 + 2*n + 0*n**3 - 2 - 1/18*n**4 + 0*n**5. Let p(m) be the first derivative of w(m). Factor p(t).
(t - 1)**2*(t + 1)**2/3
Suppose 4*c - 2*c - 4*p + 4 = 0, 0 = -c + 4*p - 6. Factor 6*j**c + 4*j**4 - j**4 - 3*j + j - 6*j**3 - j**4.
2*j*(j - 1)**3
Suppose -16/5*y + 4/5 + 4*y**2 - 8/5*y**3 = 0. What is y?
1/2, 1
Let z(h) be the first derivative of 0*h**2 + 1/5*h - 1/15*h**3 - 4. Factor z(q).
-(q - 1)*(q + 1)/5
Let v = -79 + 949/12. Let j(o) be the first derivative of 0*o**2 - v*o**6 - 2 + 1/8*o**4 + 1/6*o**3 + 0*o - 1/10*o**5. Factor j(n).
-n**2*(n - 1)*(n + 1)**2/2
Suppose 1/3*k**4 - 1/6*k**5 - 1/3*k**2 + 0 + 1/6*k + 0*k**3 = 0. Calculate k.
-1, 0, 1
Let l(b) = -2*b**4 + 10*b**3 - 14*b**2 - 6. Let j(o) = 6*o**4 - 30*o**3 + 42*o**2 - o + 17. Let v(f) = -6*j(f) - 17*l(f). Solve v(r) = 0.
0, 1, 3
Let d(u) = 5*u**3 + 5*u**2 + 4*u + 4. Let i(b) = 9*b**3 + 9*b**2 + 7*b + 7. Let g(t) = -7*d(t) + 4*i(t). Solve g(n) = 0 for n.
-1, 0
Suppose -4*c + 2*k - 28 = 0, -k - k = 2*c + 8. Let o = -3 - c. Let o*s**2 - 4*s**3 - s**2 + 3*s**3 - s**2 = 0. What is s?
0, 1
Let x(i) be the first derivative of -i**3 - 15*i**2/2 - 12*i - 2. Let x(p) = 0. Calculate p.
-4, -1
Let m(r) be the second derivative of r**6/15 + 3*r**5/5 + 2*r**4 + 10*r**3/3 + 3*r**2 - 10*r. Determine d, given that m(d) = 0.
-3, -1
Let o(l) = -5*l**3 + l**2 + l - 1. Let m(c) = -6*c**3 + c**2 + c - 1. Let v(k) = 4*m(k) - 5*o(k). Factor v(z).
(z - 1)**2*(z + 1)
Let k = -3/20 + 61/140. Find z, given that k*z**2 + 2/7 + 4/7*z = 0.
-1
Let o(x) be the third derivative of -x**7/420 - x**6/45 - x**5/12 - x**4/6 - 4*x**3/3 + 8*x**2. Let v(z) be the first derivative of o(z). Factor v(w).
-2*(w + 1)**2*(w + 2)
Let k(f) = f**3 - f - 1. Suppose -2*o = 4 - 6. Let y(a) = 3*a**3 - 9*a**2 - 15*a - 9. Let u(g) = o*y(g) - 6*k(g). Determine h so that u(h) = 0.
-1
Let g = -97/9 + 103/9. Solve -g*w - 4/3 + 2/3*w**2 = 0.
-1, 2
Let h(u) be the first derivative of -21*u**5/10 - 19*u**4/8 - 2*u**3/3 - 17. Let h(j) = 0. Calculate j.
-4/7, -1/3, 0
Let k = 3 + -1. Factor -o - o**3 + 0*o + 0*o**3 - o**2 - o**k.
-o*(o + 1)**2
Let z be ((-1)/(-3))/(2/24). Let j be ((1 - -1) + -1)*z. Factor 12*t + 4 + 6 + 20*t**3 - 6*t**j - 24*t**2 - 12.
-2*(t - 1)**3*(3*t - 1)
Let i(h) be the first derivative of -h**4/42 - 4*h**3/21 - 4*h**2/7 - 2*h - 2. Let g(j) be the first derivative of i(j). Let g(p) = 0. What is p?
-2
Let l(x) be the first derivative of -5*x**4/4 - 45*x**3 - 420*x**2 + 980*x + 45. Solve l(i) = 0 for i.
-14, 1
Let a(n) be the third derivative of 1/54*n**4 + 7/270*n**5 + 0*n**3 + 0*n - 1/135*n**6 + 0 - 6*n**2. Determine f, given that a(f) = 0.
-1/4, 0, 2
Let p(t) be the second derivative of -t**7/42 - 2*t**6/15 - t**5/5 + t**4/6 + 5*t**3/6 + t**2 + 6*t. Let p(i) = 0. What is i?
-2, -1, 1
Let r(p) be the third derivative of p**8/28 + 26*p**7/105 + 79*p**6/120 + 4*p**5/5 + 3*p**4/8 + 12*p**2. Solve r(a) = 0 for a.
-3/2, -1, -1/3, 0
Let p = -146/7 - -1759/84. Let r(q) be the second derivative of 1/40*q**5 + 1/12*q**3 - p*q**4 - q + 0*q**2 + 0. Factor r(v).
v*(v - 1)**2/2
Let x be 64/(-248)*(1 - 0). Let z = 125/124 + x. Factor -z*y - 1/4*y**2 - 1/2.
-(y + 1)*(y + 2)/4
Let j(u) be the third derivative of -u**5/15 + 2*u**4/3 - 2*u**3 - 34*u**2. Factor j(q).
-4*(q - 3)*(q - 1)
Determine l, given that l**2 + 35852 + 11*l - 35852 = 0.
-11, 0
Let s(m) = m**3 + 3*m**2 + 2*m + 3. Let h be s(-2). Let j be (-54)/16*4/(-6). Solve t**2 + 21/4*t**4 + j*t**5 + 4*t**h + 0 + 0*t = 0 for t.
-1, -2/3, 0
Suppose v = k - 1, v = 4*k - 3 - 1. Suppose 3*a - 13 = 2*p, v*a - 10 = -2*a + 2*p. Factor o**a - o**2 - 2*o**3 + 3*o**2 - o**4.
-o**2*(o - 1)*(o + 2)
Factor -10*z + 4*z**2 + 16/3 + 2/3*z**3.
2*(z - 1)**2*(z + 8)/3
Let u = -205 + 205. Factor -f**4 + 0*f**3 + f**2 + u - 1/2*f**5 + 1/2*f.
-f*(f - 1)*(f + 1)**3/2
Factor 5/3*t**2 + 10 - 35/3*t.
5*(t - 6)*(t - 1)/3
Let r be (140/(-50))/14*-15. Find h, given that -3*h + 11/4*h**2 - 1 - 7/4*h**4 + 3*h**r = 0.
-1, -2/7, 1, 2
Suppose -7*t + 5*t = -10. Let m(z) be the third derivative of -2*z**2 - 1/330*z**t + 0*z + 0*z**4 + 0 + 1/33*z**3. Suppose m(n) = 0. What is n?
-1, 1
Let r(m) = 7*m**2 - 2*m + 2. Let x be r(-6). Let j = 3460/13 - x. What is i in -2/13*i**4 + 0*i + j*i**5 - 2/13*i**3 + 2/13*i**2 + 0 = 0?
-1, 0, 1
Let l(j) be the third derivative of 0 + 3*j**2 + 0*j**4 + 0*j**3 + 0*j - 1/165*j**5 + 8/1155*j**7 - 5/1848*j**8 - 1/660*j**6. Determine f, given that l(f) = 0.
-2/5, 0, 1
Let u(l) be the third derivative of l**5/120 + l**4/24 + 14*l**2. Factor u(q).
q*(q + 2)/2
Suppose 0 = -2*s + 11 - 1. Suppose -s*q = -2*q. Suppose 0 - 1/2*i + q*i**2 + 1/2*i**3 = 0. What is i?
-1, 0, 1
Let s be 192/(-33) + -3 + 9. Factor -6/11 + s*o**2 - 4/11*o.
2*(o - 3)*(o + 1)/11
Suppose -h = -2*h + 4*m + 14, -m = h - 29. Let j = h - 51/2. Suppose 5/4*u**3 + 0*u - j*u**2 + 0 = 0. What is u?
0, 2/5
Suppose 0 = -0*d + 3*d. Let s(t) be the third derivative of 0*t - 4/9*t**3 + 1/9*t**4 - 1/90*t**5 + d - 2*t**2. What is x in s(x) = 0?
2
Let j be 19472/(-144) + (-2)/(-9). Let y be j/(-12) - (-2 + 2). Let -63/4*q**4 - 33/2*q**3 - 3 + 9*q + y*q**2 = 0. Calculate q.
-1, 2/7, 2/3
Let o(c) be the third derivative of c**8/504 + c**7/315 - c**6/90 - c**5/45 + c**4/36 + c**3/9 + 12*c**2. Solve o(b) = 0 for b.
-1, 1
Let l(d) be the second derivative of -d**4/114 - 2*d**3/19 - 5*d**2/19 - 53*d. Suppose l(w) = 0. Calculate w.
-5, -1
Let r(h) be the first derivative of 2*h**3/9 + 10*h**2/3 + 50*h/3 - 7. Determine u, given that r(u) = 0.
-5
Factor 2/7*g**3 - 2/7*g + 0 + 0*g**2.
2*g*(g - 1)*(g + 1)/7
Let y(l) be the second derivative of l - 1/2*l**3 + 1/12*l**4 + 0 + l**2. Find q, given that y(q) = 0.
1, 2
Let i(y) be the first derivative of 88/9*y**3 + 4/15*y**5 - 8/3*y**4 - 1 + 12*y - 16*y**2. Suppose i(g) = 0. What is g?
1, 3
Suppose 4/3*n**2 + 28/3*n + 8 = 0. What is n?
-6, -1
Let l(x) = -x + 17. Let j(a) = -5*a + 69. Let i(q) = -2*j(q) + 9*l(q). Let b be i(-13). Suppose 0*o + 2/7 - 2/7*o**b = 0. What is o?
-1, 1
Let h(b) = -7*b**2 - 4*b + 5. Let y(l) = -2*l**2. Let c(q) = -2*h(q) + 6*y(q). Factor c(k).
2*(k - 1)*(k + 5)
Find h such that -38*h**3 + 12 + 22*h + 75*h**3 - 35*h**3 + 12*h**2 = 0.
-3, -2, -1
Suppose 24 = -5*c + i, 20 = i + 4*i. Let w(z) = z**3 + 4*z**2 - z - 2. Let r be w(c). Factor -2*h**2 - 4*h**2 + h + 0*h + 2*h**r.
-h*(