*8/448 - c**7/140 + c**6/40 + c**5/10 + 17*c**2. Find h such that a(h) = 0.
-2, 0, 2
Suppose 0 = j + 5 - 2, -2*j = -4*w + 22. Suppose 0 = 3*u - 8*u - w*n - 20, -25 = -4*u + 5*n. Factor -h + 3*h + 2*h**2 + u*h**2.
2*h*(h + 1)
Suppose -4*v - 6 = -h + 3*h, 5*v + 2*h = -10. Let a = -2 - v. Find n such that n**2 + 3*n - a*n**2 - 4*n = 0.
-1, 0
Let i = 72/91 + 6/91. Determine b, given that 0 - i*b**3 - 2/7*b**5 - 6/7*b**4 - 2/7*b**2 + 0*b = 0.
-1, 0
Suppose -4*m + 3*m = 2*g - 6, -g = 4*m - 10. Let 10/11*f**g + 6/11*f - 4/11 = 0. Calculate f.
-1, 2/5
Suppose 3*l - 12 = -2*a, -l = -0*l - 3*a - 4. Factor -2 - q**5 + 7*q**2 - 9*q - 8*q**3 + 3*q**4 - 9*q**l - 23*q**2 - 6*q**3.
-(q + 1)**4*(q + 2)
Let l be 0 + 0 - (-1 + 1). Let b(v) be the second derivative of 3/100*v**5 - 1/20*v**4 - 2*v + 1/50*v**6 + 0*v**2 - 1/70*v**7 + 0*v**3 + l. Factor b(j).
-3*j**2*(j - 1)**2*(j + 1)/5
Let c(t) be the first derivative of t**6/27 + 8*t**5/45 + 5*t**4/18 + 4*t**3/27 - 4. Factor c(d).
2*d**2*(d + 1)**2*(d + 2)/9
Suppose 0*k - 2*k = 3*r - 8, -2*k = -r. Let v be 4/70*(6 - k). Factor -2/7*h**4 - 2/7*h**3 + v*h + 0 + 2/7*h**2.
-2*h*(h - 1)*(h + 1)**2/7
Let p(y) = -5*y**2 - 5*y - 11. Let t(l) = -l**2 - l - 2. Let v(s) = 6*p(s) - 33*t(s). Factor v(n).
3*n*(n + 1)
Let q(i) be the first derivative of -3*i**4/16 - i**3/4 + 3*i**2/8 + 3*i/4 - 14. Find m such that q(m) = 0.
-1, 1
Suppose 12*d + 24 + 3/2*d**2 = 0. What is d?
-4
Let y be 0/4 + 2 - -3. Suppose z + y = -j, -5*z + 10 = -0*z - 2*j. Factor z - 1/4*p**3 + 1/4*p**2 - 1/4*p**4 + 1/4*p**5 + 0*p.
p**2*(p - 1)**2*(p + 1)/4
Find h such that 7/2*h**4 + 0 + 6*h**3 - h + 3/2*h**2 = 0.
-1, 0, 2/7
Solve 0*m - 3/8*m**4 + 0 + 0*m**3 + 3/8*m**5 + 0*m**2 = 0 for m.
0, 1
Let o(w) be the third derivative of 9*w**6/40 - 7*w**5/20 - w**4/4 + 19*w**2. Factor o(l).
3*l*(l - 1)*(9*l + 2)
Suppose 16 = -4*b, 3*f = 7*f + 2*b - 4. Factor 11/2*o**2 - 5/4*o - 1/2 - 15/4*o**f.
-(o - 1)*(3*o - 2)*(5*o + 1)/4
Let h(n) = -2*n**2 - 4*n. Let j = -12 + 19. Let o = j - 4. Let t(l) = -6*l**2 - 12*l. Let p(s) = o*t(s) - 8*h(s). Suppose p(r) = 0. Calculate r.
-2, 0
Let x(y) = 8*y**2 - 8. Let j be ((-14)/(-35))/((-2)/(-70)). Let r(s) = s**2 - 1. Let o(a) = j*r(a) - 2*x(a). Let o(c) = 0. What is c?
-1, 1
Let q be (-1)/(-4) + 304/320. Let -8/5*f**2 + q*f + 2/5 = 0. Calculate f.
-1/4, 1
Suppose -j - 2 = -5. Solve 3*t**3 - 3 + 10*t**2 - 5*t**4 - 2 - 3*t**2 - 3*t + j = 0.
-1, -2/5, 1
Let d = 4 + 5. Suppose -d*p = -10*p. Find n such that 1/3*n**2 + p*n - 1/3*n**4 + 0*n**3 + 0 = 0.
-1, 0, 1
Let a be 2/2*(0 + -5). Let q be (-4 - -1) + 1 - a. Factor -2/3*p**q + 0 + 4/3*p**2 - 2/3*p.
-2*p*(p - 1)**2/3
Let d(j) = 8*j**2 - 8*j. Let z(c) = 4*c**2 - 4*c. Let t(o) = 3*d(o) - 7*z(o). Factor t(k).
-4*k*(k - 1)
Let g(x) be the first derivative of 2*x**3/3 + 3*x**2 + 5*x + 5. Let o(z) = -3*z**2 - 6*z - 6. Let v(n) = -6*g(n) - 5*o(n). Factor v(t).
3*t*(t - 2)
Suppose 0 = 2*t - 3*n + 8, 0 = 3*t - 2*t + 5*n - 22. Factor -3/5*i**3 + 9/5*i**t + 3*i + 6/5 - 3/5*i**4.
-3*(i - 2)*(i + 1)**3/5
Let g(w) be the second derivative of w**5/390 - w**4/156 - 2*w**3/39 - 7*w**2/2 + 3*w. Let n(m) be the first derivative of g(m). What is c in n(c) = 0?
-1, 2
Let y(k) be the third derivative of -k**5/15 + 5*k**2. Determine u, given that y(u) = 0.
0
Suppose 0 = -4*i + 8 + 4. Suppose -v = 2 - i. Factor 4 - 4 + v - t**2.
-(t - 1)*(t + 1)
Suppose -5 = -r - 2. Suppose -2*y**3 - 4*y**4 - 2*y + 3*y**5 + 4*y**2 + y**r + y**2 - y**4 = 0. Calculate y.
-1, 0, 2/3, 1
Let s(c) be the second derivative of c**6/105 + c**5/35 - c**4/42 - 2*c**3/21 - 15*c. Solve s(p) = 0 for p.
-2, -1, 0, 1
Determine i so that 1/2*i + 1/2*i**2 + 0 = 0.
-1, 0
Let i(a) = -13*a**2 + 3*a + 5. Let z = 1 + -4. Let x(p) = -7*p**2 + p + 3. Let g(w) = z*i(w) + 5*x(w). Solve g(d) = 0.
0, 1
Factor 0 + 0*z + 2/13*z**3 + 2/13*z**2.
2*z**2*(z + 1)/13
Let t(v) = -v**4 - 4*v**3 - 7*v**2 - 4. Let b = 2 + 2. Let r(h) = -2*h**4 - 11*h**3 - 20*h**2 - 11. Let s(f) = b*r(f) - 11*t(f). Factor s(x).
3*x**2*(x - 1)*(x + 1)
Factor 2/5*c + 12/5*c**3 + 0 + 2/5*c**5 - 8/5*c**2 - 8/5*c**4.
2*c*(c - 1)**4/5
Factor -5*b + 0*b**2 - 3*b**3 - 12 - 15*b**2 - 19*b.
-3*(b + 1)*(b + 2)**2
Let k(a) be the third derivative of 0*a**3 + 0*a**5 + 0*a**4 - 2*a**2 + 1/600*a**6 + 0*a + 0. Suppose k(q) = 0. What is q?
0
Suppose -7*c = -18 + 4. Determine w so that w**c - 1/2*w**3 + 0*w + 0 = 0.
0, 2
Let z(l) be the first derivative of l**6/45 + l**5/10 + l**4/9 + 7*l + 2. Let w(t) be the first derivative of z(t). Let w(o) = 0. What is o?
-2, -1, 0
Let b(h) be the second derivative of h**5/10 - 5*h**4/6 + 8*h**3/3 - 4*h**2 - 6*h. Factor b(t).
2*(t - 2)**2*(t - 1)
Suppose -4*d + 0 + 11 = -t, 0 = -5*d + 2*t + 10. Factor -d*m**2 - 12*m**3 - 51*m**4 - 2*m**5 + 59*m**4 - 2*m + 12*m**2.
-2*m*(m - 1)**4
Factor u**3 + 0*u**2 - 1/2*u**4 + 0*u + 0 - 1/2*u**5.
-u**3*(u - 1)*(u + 2)/2
Let a(q) be the second derivative of -1/24*q**4 - 1/6*q**3 + 1/40*q**5 + 0*q**2 + 2*q + 0. Let a(n) = 0. What is n?
-1, 0, 2
Let h be (-8)/(-12) + (-17)/3. Let p = -5 - h. Suppose 1/3*b**4 + 0*b**2 + 0 + 0*b**3 + p*b = 0. What is b?
0
Let -4/5*x**4 + 0 - 1/5*x**5 + 4/5*x**2 + 4/5*x - 3/5*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let d(t) = -t**2 + 3*t + 4. Let h be d(3). Factor -4 - h*f - 3*f**2 + 0*f**2 + 2*f**2.
-(f + 2)**2
Let w(r) be the third derivative of -4*r**6/15 + 4*r**5/15 + 7*r**4/12 + r**3/3 - 29*r**2. Find f such that w(f) = 0.
-1/4, 1
Suppose 5*n = 58 - 18. Suppose -8*k + n = -4*k. Factor 0 + 1/4*t**k - 1/4*t**4 + 1/4*t - 1/4*t**3.
-t*(t - 1)*(t + 1)**2/4
Let i(l) be the first derivative of -2/5*l**5 - 2 - 1/6*l**6 + 1/2*l**4 + 2*l + 8/3*l**3 + 7/2*l**2. Factor i(h).
-(h - 2)*(h + 1)**4
Let q be (1/(-5))/((-9)/(-15) + -1). Solve 0 + 1/2*g**2 - q*g = 0 for g.
0, 1
Let z(u) be the third derivative of -u**6/840 - u**5/140 - 8*u**2 + 2*u. Factor z(s).
-s**2*(s + 3)/7
Factor 4/13*l**2 + 0*l + 0 + 8/13*l**4 + 2/13*l**5 + 10/13*l**3.
2*l**2*(l + 1)**2*(l + 2)/13
Factor 5*s + 2*s - 2*s**2 - 3*s.
-2*s*(s - 2)
Suppose 60 = 6*u - 3*u. Let x be ((-4)/(-10))/(16/u). Suppose 0*t + t**2 - 1/4 + x*t**3 - 3/4*t**4 - 1/2*t**5 = 0. Calculate t.
-1, 1/2, 1
Let d(j) be the third derivative of -j**7/3780 - j**6/540 + j**4/27 + j**3/3 + 2*j**2. Let t(z) be the first derivative of d(z). Factor t(q).
-2*(q - 1)*(q + 2)**2/9
Suppose 5*a = a + 268. Let d = a - 334/5. Determine g so that 1/5*g**4 - d*g**3 - 3/5*g**2 - 2/5 + g = 0.
-2, 1
Let l(j) = j**2 - j. Let i(u) be the first derivative of -2*u**3/3 + 4*u**2 - 1. Let h(y) = -2*y - 10. Let x be h(-3). Let s(b) = x*l(b) - i(b). Factor s(m).
-2*m*(m + 2)
Let x(y) be the second derivative of 1/25*y**6 - 3*y - 1/5*y**2 + 1/25*y**5 + 0 - 1/15*y**4 + 1/105*y**7 - 1/5*y**3. Let x(v) = 0. Calculate v.
-1, 1
Let v(k) be the first derivative of -6 + 2/21*k**3 - 4/7*k - 1/2*k**2. Factor v(q).
(q - 4)*(2*q + 1)/7
Let z = -388/63 - -58/9. Determine k so that -2/7*k**2 + z*k - 4/7*k**3 + 0 = 0.
-1, 0, 1/2
Let m = 14 - 12. Factor 2/3*u**m - 2/3*u - 4/3.
2*(u - 2)*(u + 1)/3
Let d = -24 + 27. Let b(p) be the second derivative of 1/18*p**4 + 2*p + 0 - 2/3*p**2 - 1/9*p**d. Factor b(k).
2*(k - 2)*(k + 1)/3
Let c(t) be the second derivative of t**5/20 - t**4 + 6*t**3 + 11*t. Suppose c(s) = 0. Calculate s.
0, 6
Factor 0*v + 0 + 1/5*v**2 + 1/5*v**3.
v**2*(v + 1)/5
Suppose 0 = 2*m - 7*m + 10. Factor 2 + 9*x + 3*x**2 - m.
3*x*(x + 3)
Let q(i) be the second derivative of 0*i**2 + 0 - 1/20*i**5 - 3*i - 1/3*i**3 + 1/4*i**4. Let q(l) = 0. What is l?
0, 1, 2
Suppose -u + 5*u = 4*k - 16, 0 = 2*k + u + 4. Let h(z) = z**3 + 6*z**2 - 2*z - 3. Let d be h(-5). Factor -2*q**3 - 16*q**4 + k*q**2 + 0*q**2 - d*q**5.
-2*q**3*(4*q + 1)**2
Let j = 266/65 - 48/13. Factor -2/5*m**3 - 2/5*m**2 + 2/5 + j*m.
-2*(m - 1)*(m + 1)**2/5
Suppose -4 = -3*x + x. Suppose -3*c = -7*c + 8. Factor 0*s + 2*s - c*s**5 - s**4 - 3*s**4 + 4*s**x.
-2*s*(s - 1)*(s + 1)**3
Suppose 5*r - 7*r + 4 = 0. Let q = -2 + 5. Determine z so that 2/3*z - 2/3*z**q + 0 + 0*z**r = 0.
-1, 0, 1
Let c(m) be the first derivative of 5*m**3/18 - 2*m**2/3 - 2*m/3 - 36. Determine r so that c(r) = 0.
-2/5, 2
Let w be (-4 + 4 - -4) + -4. Solve 0*d + 2*d**4 - 1/2*d**2 + 3/2*d**3 + w = 0 for d.
-1, 0, 1/4
Let u(y) be the first derivative of -y**6/27 - 8*y**5/45 - 5*