h*s**2 + 0 = 0. Calculate s.
0, 1
Let x(c) = c**2 - c + 2. Let p be x(3). Let y = p - 8. Find u, given that u**2 + y*u + 2*u - 1 - 2*u**2 = 0.
1
Let f be 2 + 5 + 1 + -2. Let u(i) be the third derivative of 0 - 1/24*i**4 + 1/120*i**f + 0*i**3 + 0*i**5 + 0*i + 2*i**2. Factor u(k).
k*(k - 1)*(k + 1)
Factor 0*j - 2*j - 25*j**2 + 27*j**2.
2*j*(j - 1)
Find y, given that -7 - 5 - 4*y**2 - 24*y - 7 - 17 = 0.
-3
Let g be -5 + 27/12 - -3. Factor -1/4*t + g*t**2 - 1/2.
(t - 2)*(t + 1)/4
Find d such that 18*d**3 - 6*d**3 + d**2 - 11*d**3 = 0.
-1, 0
Let -13 - 12 - 5*v**2 + 10 + 20*v = 0. What is v?
1, 3
Let d be 4/(4800/(-4796)) + 4. Let b(i) be the third derivative of -d*i**5 + 0*i**4 + 0 + i**2 + 0*i + 0*i**3 + 1/600*i**6. Factor b(v).
v**2*(v - 1)/5
Let p(u) = -u**3 + 7*u**2 - 6. Let r be p(7). Let t = r - -9. Solve 7*c - t*c**2 - 2 - 4*c**2 + 2*c**2 = 0 for c.
2/5, 1
Let k(v) = -3*v**3 + 2*v**2 + v. Let i(c) = c**3 - c**2. Let m(w) = -6*i(w) - k(w). Factor m(u).
-u*(u - 1)*(3*u - 1)
Suppose 2/3*n**4 + 0*n**2 + 0 + 2*n**3 - 8/3*n = 0. Calculate n.
-2, 0, 1
Suppose a + 12 = -3*a. Let i be (-8)/a - 2/3. Find y, given that 7*y**i - 4*y**3 + 1 + 2*y + 2*y**4 - 11*y**2 + 1 + 2*y**5 = 0.
-1, 1
Let g(o) be the second derivative of -o**9/10584 + o**8/2940 - o**7/2940 + o**3/3 + 3*o. Let q(c) be the second derivative of g(c). What is u in q(u) = 0?
0, 1
Let q = 34 - 15. Solve q*i + 4*i**2 + 4*i - 11*i + 20*i + 64 = 0.
-4
Let w(x) be the third derivative of x**7/1995 + x**6/570 + x**5/570 + 4*x**2. What is v in w(v) = 0?
-1, 0
Let q = -8 - -12. Let v be 2/(-7) + q/14. Factor v - 1/4*d**3 + 1/4*d**2 + 0*d.
-d**2*(d - 1)/4
Let c be (1 - -1)/((-8)/(-12)*6). Solve o + 1/2*o**2 + c = 0 for o.
-1
Suppose 0 = -2*o + 7*o + 25, -5*o - 25 = r. Suppose 3 = 4*h - 9. Factor r*v**h - 2 + 2 - v**3 + v**4.
v**3*(v - 1)
Let s be 6/(-36)*(-32)/2. Let c be (-5)/(-2)*8/30. Factor -c*p**2 - s*p - 8/3.
-2*(p + 2)**2/3
Let j(f) be the third derivative of f**5/90 - f**4/18 + 9*f**2. Factor j(s).
2*s*(s - 2)/3
Let n be (-4)/(-18) - (-24)/(-108). Let 2/11 - 4/11*y**2 + 0*y + 2/11*y**4 + n*y**3 = 0. Calculate y.
-1, 1
Find f, given that -108/7 - 24/7*f**2 - 144/7*f + 4/7*f**4 + 16/7*f**3 = 0.
-3, -1, 3
Let x(l) be the third derivative of 11*l**6/40 - 57*l**5/20 + 27*l**4/4 - 4*l**3 + 3*l**2. Factor x(i).
3*(i - 4)*(i - 1)*(11*i - 2)
Let v(l) be the third derivative of l**6/60 - l**5/6 + 7*l**4/12 - l**3 + 6*l**2. Solve v(q) = 0.
1, 3
Let l(y) be the third derivative of -y**6/120 + y**5/30 + 21*y**2. Factor l(b).
-b**2*(b - 2)
Let u(p) be the third derivative of 0*p + 1/16*p**4 - 2*p**2 + 0 + 0*p**3 - 1/40*p**5. Factor u(m).
-3*m*(m - 1)/2
Suppose 2/7*h**2 - 10/7 + 8/7*h = 0. Calculate h.
-5, 1
Let t be (26/52)/((-2)/(-20)). Factor -2/11*w**3 + 0*w**4 + 2/11*w**t + 0*w**2 + 0 + 0*w.
2*w**3*(w - 1)*(w + 1)/11
Factor 2*t**3 + 2*t**4 - 2 + 4*t**2 - 8*t**3 + 2.
2*t**2*(t - 2)*(t - 1)
Factor -4/9*n - 2/9*n**4 - 8/9*n**3 + 0 - 10/9*n**2.
-2*n*(n + 1)**2*(n + 2)/9
Let k(t) = -8*t**4 + 31*t**3 - 5*t**2 - 15*t - 3. Let z(n) = -8*n**4 + 32*n**3 - 4*n**2 - 16*n - 4. Let u(y) = -4*k(y) + 3*z(y). Factor u(w).
4*w*(w - 3)*(w - 1)*(2*w + 1)
Let c(v) be the second derivative of -7*v**6/30 + 23*v**5/20 - 9*v**4/4 + 13*v**3/6 - v**2 + 33*v. Find x such that c(x) = 0.
2/7, 1
Factor 0 - 4/3*g**3 - 2/9*g**4 + 0*g - 2*g**2.
-2*g**2*(g + 3)**2/9
Let y(l) = l**2 - l - 6. Let j(k) = 1. Suppose 0 = 3*a - b, 3*a + 3*b = 6*b. Let z be (-2 + a)*(-3)/6. Let h(m) = z*y(m) + 6*j(m). Let h(n) = 0. What is n?
0, 1
Let j(a) = a**3 - 4*a**2 + 5*a - 4. Let d be j(3). Factor u**2 + 6*u - u**2 + d*u**2 + 4.
2*(u + 1)*(u + 2)
Let x(b) be the third derivative of -2*b**5/75 + 17*b**4/60 - 4*b**3/15 - 8*b**2. Factor x(r).
-2*(r - 4)*(4*r - 1)/5
Let u(b) be the third derivative of b**9/1260 - b**8/400 + b**7/700 + b**6/600 - b**3/6 + 8*b**2. Let v(q) be the first derivative of u(q). Factor v(k).
3*k**2*(k - 1)**2*(4*k + 1)/5
Let k(m) be the second derivative of -m**6/15 - 9*m**5/5 - 97*m**4/6 - 48*m**3 - 64*m**2 - 11*m. Factor k(d).
-2*(d + 1)**2*(d + 8)**2
Let v(l) be the second derivative of 1/3*l**4 + 1/3*l**3 + 0*l**2 + 0 - 3*l - 3/10*l**5. Solve v(u) = 0.
-1/3, 0, 1
Suppose 1/4*k**2 + 0*k + 0 - 1/4*k**4 + 0*k**3 = 0. Calculate k.
-1, 0, 1
Let n be (-4)/(-22) - ((-82)/33 + 2). Factor -4/3*z**2 + 2/3*z + n*z**3 + 0.
2*z*(z - 1)**2/3
Let s be (1/5)/((-8)/(-180)). Factor s*u**2 + 5/2*u**4 + 0 + u + 6*u**3.
u*(u + 1)**2*(5*u + 2)/2
Let n(x) = 5*x**5 - 2*x**4 - 17*x**3 - 12*x**2 + 2. Let a(g) = g**4 + g**3 + g**2 - 1. Let p(w) = -2*a(w) - n(w). Suppose p(b) = 0. Calculate b.
-1, 0, 2
Let p(u) be the third derivative of -u**6/420 - 3*u**5/70 - 9*u**4/28 - 9*u**3/7 + 6*u**2. Determine h, given that p(h) = 0.
-3
Let n(c) be the first derivative of -c**5/30 - c**4/6 - c**3/3 + 5*c**2/2 - 4. Let a(y) be the second derivative of n(y). Factor a(s).
-2*(s + 1)**2
Factor 0 + 6*i - 2/3*i**2.
-2*i*(i - 9)/3
Let b = 11 - 8. Let m be b*(-1)/1 + 6. Find j, given that -1 - j - j**2 + 3*j**3 + 2 - 2*j**m = 0.
-1, 1
Suppose 5*a - 15 = 20. Suppose 0 = -4*p - 3*m + 4*m + 22, -a = -p + m. Solve -5/2*k**p - 1 - 5*k**2 + 9/2*k - 2*k**3 + 6*k**4 = 0.
-1, 2/5, 1
Let d = 22 + -18. Let b(i) be the third derivative of -1/24*i**3 - i**2 + 0*i + 1/32*i**d - 1/80*i**5 + 0 + 1/480*i**6. Suppose b(z) = 0. Calculate z.
1
Let w = 24 + -95/4. Let l = -20 + 81/4. What is n in -l*n**2 - 1/2*n - w = 0?
-1
Let r(i) = i**2 + 3*i + 3. Let f(n) = -2*n - 2. Let u(c) = -6*f(c) - 4*r(c). Factor u(z).
-4*z**2
Suppose 5*y - 4 = 16. Suppose 4/3*x + 2*x**3 - 10/3*x**5 + 0 - 14/3*x**2 + 14/3*x**y = 0. What is x?
-1, 0, 2/5, 1
Suppose 22/3*q + 1/3*q**2 + 121/3 = 0. What is q?
-11
Let q(w) be the third derivative of -1/60*w**6 - 1/3*w**3 - 1/4*w**4 + 3*w**2 + 0 + 0*w - 1/10*w**5. Factor q(g).
-2*(g + 1)**3
Factor 20*v**3 - 45 - 13*v**3 - 12*v**3 - 35*v**2 - 75*v.
-5*(v + 1)*(v + 3)**2
Factor 2 + 3*j**3 + 0*j - 5 - 3*j - 67*j**2 + 70*j**2.
3*(j - 1)*(j + 1)**2
Suppose 5*o = -4*x + 30, 4*o - 16 - 7 = -3*x. Let j be (o/12)/((-6)/(-24)). Solve 1/3*y**4 - j*y**3 + 1/3*y**2 + 0 + 0*y = 0.
0, 1
Factor 0*j**2 - 1/7*j**4 + 2/7*j + 1/7 - 2/7*j**3.
-(j - 1)*(j + 1)**3/7
Factor 0 + 4/7*l**2 - 2/7*l + 6/7*l**3.
2*l*(l + 1)*(3*l - 1)/7
Let w(o) be the first derivative of -2*o**5/85 + 2*o**4/17 - 10*o**3/51 + 2*o**2/17 - 31. Factor w(d).
-2*d*(d - 2)*(d - 1)**2/17
Let f = -30 + 49. Suppose 13 = 3*u - m, 3*u + m = -m + f. Factor -5*o**2 + 2*o**3 + 4*o**2 - u*o**2 + 4*o.
2*o*(o - 2)*(o - 1)
Let t be 3/(-6*1/(-16)). Suppose 2*q - t = -4. Solve q*k - k**3 - 3*k + 6*k**2 - 8*k**2 = 0 for k.
-1, 0
Let n(l) be the first derivative of -2/5*l**5 - l - 1/12*l**3 + 2 - 1/3*l**4 + 0*l**2. Let p(h) be the first derivative of n(h). Factor p(s).
-s*(4*s + 1)**2/2
Suppose 5*d = 3*d + 12. Factor -l - l**2 + l - d*l - 2*l**2.
-3*l*(l + 2)
Let x = 14 - 10. Solve -x*z**3 - 2*z**3 + 7*z**3 - 2*z + 4*z**2 - 3*z**2 = 0.
-2, 0, 1
Suppose -7*n + 0 + 21 = 0. Let j(k) be the second derivative of -5/9*k**n - 1/30*k**5 + 0 + 4*k + 2/3*k**2 + 2/9*k**4. Let j(i) = 0. Calculate i.
1, 2
Let z(c) be the second derivative of -c**4/30 - 2*c**3/15 + 8*c**2/5 + 6*c - 1. Solve z(f) = 0 for f.
-4, 2
Let t(d) = -5*d**2 + 19*d + 19. Let f(q) be the first derivative of q**3/3 - 5*q**2/2 - 5*q + 4. Let n(h) = 26*f(h) + 6*t(h). Determine u, given that n(u) = 0.
-2
Let b(r) be the first derivative of -2 + 0*r**2 + 2/3*r**3 - 2*r. Determine o, given that b(o) = 0.
-1, 1
Let m(s) be the second derivative of 7*s**5/50 - 23*s**4/30 + 2*s**3/5 + 2*s. Factor m(v).
2*v*(v - 3)*(7*v - 2)/5
Let w(x) be the third derivative of -x**7/840 - x**6/180 - x**5/120 + x**3/6 - x**2. Let f(q) be the first derivative of w(q). Determine n, given that f(n) = 0.
-1, 0
Let y be 1/((-5)/3 - -2). Find z such that -4*z**2 - y*z + 8*z**2 + 2*z = 0.
0, 1/4
Let z(t) be the third derivative of -1/36*t**4 - 3*t**2 + 0*t**3 + 0*t + 1/180*t**5 + 0. Solve z(x) = 0 for x.
0, 2
Let x = -18371/32 + 574. Let o = x + 265/96. Factor -2/3*k**4 + 8/3*k**3 - 2/3 + o*k - 4*k**2.
-2*(k - 1)**4/3
Let p(h) be the third derivative of 81*h**6/40 - 117*h**5/20 + 5*h**4 - 2*h**3 + 3*h**2. Factor p(k).
3*(k - 1)*(9*k - 2)**2
What is q in 2/5*q**3 + 8/5*q**2 + 2*q + 4/5 = 0?
-2, -1
Let h(b) be