h + 0 - 2*h**2 = 0. What is h?
-2, -1, 0
Let u(y) be the second derivative of 14*y**7/3 + 238*y**6/15 + 67*y**5/5 - 23*y**4/3 - 32*y**3/3 + 8*y**2 - 10*y. Factor u(o).
4*(o + 1)**3*(7*o - 2)**2
Suppose -c = 3*c. Determine x, given that c*x**2 - 2/3 + 2/3*x**4 + 4/3*x**3 - 4/3*x = 0.
-1, 1
Let o = 641/5 - 1898/15. Factor -o*s**2 + 1/3*s**4 - 1/3*s**5 + 2/3*s + s**3 + 0.
-s*(s - 1)**3*(s + 2)/3
Let l(f) be the second derivative of 1/105*f**6 + 2/35*f**5 + 0 + 4/21*f**3 + 5*f + 1/7*f**4 + 1/7*f**2. Factor l(x).
2*(x + 1)**4/7
Let u be 2/(-4)*((-1 - -1) + 0). Let d(g) be the first derivative of u*g - 2*g**2 - 2/3*g**3 + 2. Factor d(p).
-2*p*(p + 2)
Let z(n) = n**2. Suppose 1 = c - 2*c. Let j(y) = 2 + 3 + 3 - 4 + 14*y. Let s(b) = c*j(b) - 6*z(b). Factor s(o).
-2*(o + 2)*(3*o + 1)
Factor 0*n**2 - 3/2 + 3/2*n**4 - 3*n + 3*n**3.
3*(n - 1)*(n + 1)**3/2
Suppose -12*y - 2 = -26. Factor -x**y + 1/2 - 7/4*x.
-(x + 2)*(4*x - 1)/4
Let r(c) be the third derivative of -c**7/7560 + c**6/720 - c**5/180 - c**4/4 - c**2. Let z(y) be the second derivative of r(y). Solve z(w) = 0 for w.
1, 2
Let q = 2 - 6. Let n be (-14)/(-6) + q/(-6). Factor -2*k**3 + 3*k**2 + k**n + 2*k - 4*k.
-k*(k - 2)*(k - 1)
Let w(a) be the first derivative of -2/3*a**3 + 0*a**4 + 0*a + 2 + 0*a**2 + 0*a**5 + 1/900*a**6. Let f(h) be the third derivative of w(h). Factor f(c).
2*c**2/5
Let m be 8 + 0/(-1 - -2). Suppose 2*y - 6*y + m = 0. Determine h, given that -2*h**2 - y*h**3 - 1 + 7/2*h = 0.
-2, 1/2
Suppose 4*j - 3*j - 4*j = 0. Factor 0*v**3 + 2/3 - 4/3*v**2 + j*v + 2/3*v**4.
2*(v - 1)**2*(v + 1)**2/3
Let d(o) be the first derivative of o**6/40 - 3*o**5/80 - o**4/16 + o**3/8 + 2*o + 2. Let x(g) be the first derivative of d(g). Factor x(i).
3*i*(i - 1)**2*(i + 1)/4
Let m(j) be the second derivative of j**4/72 + j**3/18 - j**2/4 - 11*j. Factor m(k).
(k - 1)*(k + 3)/6
Let w(t) be the second derivative of -t**6/10 - 7*t**5/20 + 2*t**3/3 + 2*t - 8. Find a, given that w(a) = 0.
-2, -1, 0, 2/3
Let f = 10 + 0. Let v = f + -7. Solve 3*m**2 + 13*m - 3*m + 9 + v + 2*m = 0 for m.
-2
Suppose 3*t - 3 = -4*w + 9, -4*t - w = -29. Factor -4 - t*l**3 + 4 + 6*l**2 + 5*l - 3*l.
-2*l*(l - 1)*(4*l + 1)
Let g be ((-15)/6)/((-40)/32). What is k in -6/7*k**g - 4/7*k + 2/7 = 0?
-1, 1/3
Suppose -4*x + 5*h + 0*h = -745, 4*h = -20. Let p be (18/x)/(1/12). Find s such that -8/5 + p*s**2 - 2/5*s**3 + 0*s = 0.
-1, 2
Let f be 28/(-16) - 12/(-3). Determine z, given that -15/4*z**2 + f*z + 3/4*z**3 + 27/4 = 0.
-1, 3
Let w = 6 - 4. Suppose -5*c + 8*y - 4*y = -18, -w*y = -3*c + 10. Solve r**5 - r**c + r**4 + 0*r**2 + 0*r**5 - r**3 = 0.
-1, 0, 1
Find r such that 0*r + 4/3*r**3 - 1/3*r**4 - 4/3*r**5 + 1/3*r**2 + 0 = 0.
-1, -1/4, 0, 1
Let u(v) be the second derivative of -v**6/60 + v**5/10 - v**4/4 + v**3/3 - v**2/4 - 17*v. Let u(q) = 0. What is q?
1
Let h(t) = -7*t**3 + 7*t**2 - 4*t + 4. Let r(s) = 36*s**3 - 36*s**2 + 21*s - 21. Let q(u) = -21*h(u) - 4*r(u). Factor q(c).
3*c**2*(c - 1)
Suppose -8*y = -5*y. Suppose -g - 4*r = 5, 4 = -2*r - y*r. Factor 1/2*x**g + 0 - 1/2*x**2 + 0*x.
x**2*(x - 1)/2
Factor 1/8*m**5 + 1/4*m**3 + 0*m + 3/8*m**4 + 0*m**2 + 0.
m**3*(m + 1)*(m + 2)/8
Let r be ((-15)/(-8))/3 - 1/4. Let b(i) be the first derivative of -3 + 1/6*i**3 + 1/4*i**6 + 0*i**2 - 1/10*i**5 - r*i**4 + 0*i. Suppose b(m) = 0. Calculate m.
-1, 0, 1/3, 1
Let t(y) be the third derivative of y**9/4032 - y**8/2240 - y**7/140 - y**6/60 + y**5/10 + 8*y**2. Let f(n) be the third derivative of t(n). Factor f(o).
3*(o - 2)*(o + 1)*(5*o + 2)
Let m(d) = 2*d**3 - 9*d**2 - 6*d + 3. Let x(y) = 5*y**3 - 26*y**2 - 19*y + 8. Let t(o) = 8*m(o) - 3*x(o). What is b in t(b) = 0?
-3, 0
Determine z so that 2/9*z**2 + 0 + 4/9*z**3 + 0*z - 2/3*z**4 = 0.
-1/3, 0, 1
Let t be 4/(-12) - 26/(-6). Let g be 15/50*t/6. Factor 1/5*w + 0 - g*w**2.
-w*(w - 1)/5
Suppose -10*b = -8*b. Let x = 0 - b. Determine o so that x + 4/9*o**3 + 0*o + 2/9*o**4 + 2/9*o**2 = 0.
-1, 0
Suppose -2*b + 5 = -1. Suppose k = 6*k - 20. Factor 2*t**3 - t + 3*t**3 - k*t**b.
t*(t - 1)*(t + 1)
Let c = 18 - 19. Let j be -4 - (-1 + (-4 - c)). Let j + 2*t**3 + 2/3*t + 8/3*t**2 = 0. What is t?
-1, -1/3, 0
Let r(a) be the second derivative of 2*a**6/25 + 3*a**5/20 + a**4/20 - 14*a. Find j, given that r(j) = 0.
-1, -1/4, 0
Let y(i) be the first derivative of 10*i**3 - 1 + 15/2*i**2 + 15/2*i**4 + 1/2*i**6 + 3*i**5 + 3*i. Factor y(c).
3*(c + 1)**5
Suppose -3*a + a = 6*a. Let k(n) be the second derivative of 1/10*n**5 + n + 0*n**2 + a*n**3 - 1/27*n**4 + 0. Factor k(q).
2*q**2*(9*q - 2)/9
Suppose 2 = 2*d - 2*z, -3*d - 4*z = -d - 20. Find m such that d*m - 9*m - 8 - 18*m**2 - 15*m - 2*m**4 - 7*m**3 + m**4 = 0.
-2, -1
Let u(r) be the second derivative of r**6/30 - r**5/20 - r**4/4 + r**3/6 + r**2 - 5*r. Suppose u(z) = 0. What is z?
-1, 1, 2
Let g be 0 - -2 - -1*(0 + -2). What is k in g - 1/3*k + 1/3*k**2 = 0?
0, 1
Let k(f) = 4*f**5 + 4*f**4 - 6*f**3 + 9*f**2 - f + 5. Let u(n) be the first derivative of n**6/6 + n**3/3 + n - 3. Let j(m) = -2*k(m) + 10*u(m). Factor j(z).
2*z*(z - 1)**4
Let b = 123 - 487/4. Factor -9/2*a**2 - b*a**3 + 2 - 3*a.
-(a + 2)**2*(5*a - 2)/4
Let h = 28 - 6. Let j = h + -39/2. Find v, given that 6*v**4 - 6*v**2 - 9/2*v**5 + j*v**3 + 0 + 2*v = 0.
-1, 0, 2/3, 1
Let g be 3*1/3*4. Suppose -5*q + 12 + 8 = 0. Factor -g + 3*l**3 + 4 - q*l**2 + 2 - l.
(l - 1)**2*(3*l + 2)
Suppose z + 5 = -i - 0, i = 4*z + 20. Suppose i*p**3 + 0*p + 2/9*p**5 - 2/9*p**4 + 0 + 0*p**2 = 0. Calculate p.
0, 1
Let t(n) be the first derivative of -3 - 2/5*n**5 - n**2 - 2*n**3 + 0*n - 3/2*n**4. Solve t(f) = 0.
-1, 0
Suppose 20*p - 19*p - 2 = 0. Let t(g) be the first derivative of 2/9*g**3 + 0*g + 1/9*g**6 - 1/6*g**4 + 1 - 2/15*g**5 + 0*g**p. Factor t(n).
2*n**2*(n - 1)**2*(n + 1)/3
Let d = 21 + -22. Let a be (-9)/(d - 6 - -4). Let -1/3*t - t**a + t**2 + 0 + 1/3*t**4 = 0. Calculate t.
0, 1
Let d(c) be the second derivative of c**6/240 + 11*c**5/160 + 35*c**4/96 + 25*c**3/48 + 32*c. Solve d(r) = 0 for r.
-5, -1, 0
Let w(g) be the first derivative of g**6/360 - g**4/72 - 5*g**2/2 - 5. Let f(s) be the second derivative of w(s). Let f(l) = 0. What is l?
-1, 0, 1
Let a(c) be the first derivative of -1 + 0*c + 2*c**3 + 0*c**2 + 3/4*c**4. Solve a(r) = 0.
-2, 0
Factor 4/5*d**2 - 1/5 - 3/5*d.
(d - 1)*(4*d + 1)/5
Let j = 53/116 + -6/29. Let d be (-26)/(-40) + 14/(-35). Factor d + 0*g - j*g**2.
-(g - 1)*(g + 1)/4
Let q(a) = 2*a**3 + 4*a**2 + a - 1. Let f(p) = -11*p**3 - 23*p**2 - 6*p + 6. Let u(k) = -6*f(k) - 34*q(k). Factor u(d).
-2*(d - 1)**2*(d + 1)
Let t(l) be the second derivative of l**8/26880 + l**7/5040 + l**6/2880 - l**4/12 + 3*l. Let u(b) be the third derivative of t(b). Determine c so that u(c) = 0.
-1, 0
Let s(z) be the third derivative of 2/3*z**3 + 1/4*z**4 + 1/30*z**5 + 0 - 2*z**2 + 0*z. Determine u, given that s(u) = 0.
-2, -1
Suppose -2*a + 4*x = -64, 2*a + 2*x + 7 - 65 = 0. Let 16*k - a*k + 15*k - k**3 = 0. What is k?
-1, 0, 1
Let b(z) = 3*z**4 + 24*z**3 + 45*z**2 + 36*z + 9. Let n(u) = 3*u**4 + 25*u**3 + 45*u**2 + 35*u + 8. Let h(g) = 4*b(g) - 3*n(g). Factor h(f).
3*(f + 1)**3*(f + 4)
What is v in -2/17*v**2 + 10/17*v - 8/17 = 0?
1, 4
Let h(u) be the third derivative of u**5/15 + 5*u**4/24 + u**3/6 + 19*u**2. Factor h(i).
(i + 1)*(4*i + 1)
Suppose 24*u - 29*u = -10. Let m(v) be the second derivative of -3*v + 0 - 1/2*v**3 + 5/12*v**4 - v**u. Determine y, given that m(y) = 0.
-2/5, 1
Factor -3 + 1/2*y**2 + 1/2*y.
(y - 2)*(y + 3)/2
Let a(f) be the second derivative of f**4/3 + 2*f**3/3 - 4*f**2 - 11*f. Factor a(w).
4*(w - 1)*(w + 2)
Let w = -12 + 15. Let y(j) be the second derivative of 4/5*j**2 - 21/10*j**4 - 4/15*j**w - 3*j + 0. Factor y(x).
-2*(7*x + 2)*(9*x - 2)/5
Suppose 2*p - 1 = s + 2, -5*s + 12 = -p. Determine j, given that -16*j + p - 4*j**3 + 5 + 2*j**3 + 10*j**2 = 0.
1, 2
Let b(q) be the third derivative of -q**5/12 + 5*q**4/12 - 7*q**2. Find s, given that b(s) = 0.
0, 2
Factor -2/3*a**2 - 32/3 + 16/3*a.
-2*(a - 4)**2/3
Let x(p) be the first derivative of -5*p**6/6 - 7*p**5 - 45*p**4/2 - 110*p**3/3 - 65*p**2/2 - 15*p - 2. Factor x(u).
-5*(u + 1)**4*(u + 3)
Let r = -509 + 512. Factor -2/3*h**r + 4/3*h**2 + 2/3*h - 4/3.
-2*(h - 2)*(h - 1)*(h + 1)/3
Let g be 9/4 - 2/8. Let c(r) be the second derivative of 0*