4))/(10/u). Factor -3/5*a - k*a**3 - 1/5 - 3/5*a**2.
-(a + 1)**3/5
Let n(k) = -k**3 + 16*k**2 - 15*k. Let f = 42 + -27. Let a be n(f). Determine w so that 2*w**2 + 2/5*w + a = 0.
-1/5, 0
Let c(d) be the first derivative of -2*d**5/5 - 3*d**4/2 + 2*d**3/3 + 3*d**2 + 4. Determine b, given that c(b) = 0.
-3, -1, 0, 1
Suppose -2*j - 12 = j. Let m = j - -7. Factor -6*p**2 + p**2 + 3*p**2 + 7*p**m.
p**2*(7*p - 2)
Suppose -7 = -2*a - 7. Factor -2*d**5 + 0*d - 1/2*d**3 + a*d**2 - 5/2*d**4 + 0.
-d**3*(d + 1)*(4*d + 1)/2
Let i = 49/286 - 2/429. Suppose 1/6*s**3 + 5/6*s**2 - 1/2*s**4 - 1/3 - i*s = 0. Calculate s.
-1, -2/3, 1
Let c(q) = 3*q**3 - q**2 - 4*q + 4. Let v(j) = 1 - j - 3*j**2 + 2*j**2 + j**3 + j**2. Let b(l) = 3*c(l) - 12*v(l). Let b(y) = 0. Calculate y.
-1, 0
Let u(o) be the second derivative of -o**5/45 + o**4/72 + 3*o**2/2 + 2*o. Let m(l) be the first derivative of u(l). Factor m(y).
-y*(4*y - 1)/3
Let x(b) be the second derivative of b**6/120 - b**5/20 + b**4/8 - b**3/2 - 4*b. Let h(c) be the second derivative of x(c). Suppose h(q) = 0. Calculate q.
1
Let j(f) = -f**3 - 9*f**2 - 9*f + 4. Let l be j(-8). Suppose -t = 3*t - l. Determine q so that -8/7*q**2 + 0 - 8/7*q**t + 0*q - 2/7*q**4 = 0.
-2, 0
Solve 0*r**2 + 0*r**3 - 2/13*r**5 - 2/13*r**4 + 0 + 0*r = 0 for r.
-1, 0
Let r(z) = z**2 - 7*z + 8. Let p be r(6). Let n = 4 - p. Find h such that -h**2 + 4*h - n*h + 4*h**2 = 0.
-2/3, 0
Let f(v) be the second derivative of -v**5/60 + v**4/18 - v**3/18 - 30*v. Factor f(h).
-h*(h - 1)**2/3
Let j(n) be the first derivative of 0*n**2 + 0*n + 0*n**3 - 1/12*n**4 + 1. Suppose j(o) = 0. What is o?
0
Let c be 1*-3 - ((-848)/(-80) + -14). Factor -2/5*n**3 + 0*n**2 + 0 + c*n.
-2*n*(n - 1)*(n + 1)/5
Suppose 4*w - 2*p + 46 = -94, -w + 2*p = 32. Let t be (-15)/w - 2/(-8). Factor 0 - 4/3*d**3 - 2/3*d**4 - t*d**2 + 0*d.
-2*d**2*(d + 1)**2/3
Suppose 7*n = -2*b + 2*n + 19, -3*b + 5*n - 9 = 0. Suppose 0 = -3*t - k, b*t + 0*k = -2*k. Determine c so that -4/5 + 2/5*c**3 - 6/5*c + t*c**2 = 0.
-1, 2
Suppose g + r = 18, -9*g + 86 = -4*g + 4*r. Let j be 11/g - 3/6. Suppose 0*l**4 + j*l**5 + 2/7*l + 0 - 4/7*l**3 + 0*l**2 = 0. What is l?
-1, 0, 1
Let n(f) be the first derivative of 9*f**4/4 - 2*f**3 - 21*f**2/2 - 6*f + 11. Determine q, given that n(q) = 0.
-1, -1/3, 2
Let d(x) = 3*x - 30. Let p be d(10). Determine l, given that -1/4*l**2 + p - 1/4*l**3 + 0*l = 0.
-1, 0
Factor 4/5*y**2 + 2/5*y**3 - 4/5 - 2/5*y.
2*(y - 1)*(y + 1)*(y + 2)/5
Let h be 75/18 - (-3)/(-30)*5. Let o(z) = -z**3 - 4*z**2 + 5*z. Let i be o(-5). Let -4/3*n**5 + i*n + 0 - 5/3*n**3 - h*n**4 + 2/3*n**2 = 0. Calculate n.
-2, -1, 0, 1/4
Factor -5*j**3 - 4*j**2 - 3*j**3 + 10*j**3.
2*j**2*(j - 2)
Let s(q) = -30*q**4 + 10*q**3 + 78*q**2 + 34*q. Let r(l) = 30*l**4 - 9*l**3 - 79*l**2 - 34*l + 1. Let i(a) = -4*r(a) - 5*s(a). Let i(m) = 0. What is m?
-1, -1/3, -1/5, 2
Factor -75/2 - 15*l - 3/2*l**2.
-3*(l + 5)**2/2
Let j(r) be the first derivative of -r**6/9 + r**4 - 16*r**3/9 + r**2 - 7. Factor j(x).
-2*x*(x - 1)**3*(x + 3)/3
Let j(k) be the first derivative of 4 + 5/9*k**3 + 2/3*k - 7/6*k**2. Solve j(n) = 0 for n.
2/5, 1
What is q in -13*q + 37*q - 18*q - 3*q**4 - 6*q**3 + 3*q**2 = 0?
-2, -1, 0, 1
Let m(c) be the second derivative of c + 0*c**2 - 1/147*c**7 + 2/105*c**6 + 0 - 1/21*c**4 + 0*c**5 + 1/21*c**3. Factor m(y).
-2*y*(y - 1)**3*(y + 1)/7
Let h(b) be the third derivative of 1/210*b**7 + 0*b - 1/48*b**4 + 0*b**3 + 1/30*b**5 - 3*b**2 - 1/48*b**6 + 0. What is o in h(o) = 0?
0, 1/2, 1
Factor -2*d**2 + 4/3*d**3 + 4/3*d - 1/3 - 1/3*d**4.
-(d - 1)**4/3
Let r = -34 - -20. Let x(d) = -6*d**2 - 8*d + 14. Let o(j) = 2*j**2 + 3*j - 5. Let l(c) = r*o(c) - 5*x(c). Let l(s) = 0. Calculate s.
0, 1
Suppose 3*q + 1 = 1. Find j, given that 0 + q*j + 0*j**2 - 2/5*j**4 + 2/5*j**3 = 0.
0, 1
Let q be 7/(-6)*(-15)/70. Factor 1/4*y + q*y**3 - 1/2*y**2 + 0.
y*(y - 1)**2/4
Let o(j) be the third derivative of -j**6/840 - j**5/210 - j**4/168 + 13*j**2. Find f such that o(f) = 0.
-1, 0
Let w(t) be the first derivative of 2*t**3/3 - 8*t - 8. What is s in w(s) = 0?
-2, 2
Let z(q) be the first derivative of -q**5 + 25*q**4/4 - 40*q**3/3 + 10*q**2 + 10. Find p such that z(p) = 0.
0, 1, 2
Let w(t) = 9*t**2 - 70*t + 45. Let o(b) = 3*b**2 - 23*b + 15. Let z(c) = -7*o(c) + 2*w(c). Let u(g) = g - 1. Let a(d) = 15*u(d) - z(d). Factor a(q).
3*q*(q - 2)
Let u(q) = -3*q**4 - 7*q**3 - 11*q**2 - 8*q + 4. Let p(w) = w**4 + 3*w**3 + 5*w**2 + 3*w - 2. Let i(m) = 15*p(m) + 6*u(m). Solve i(x) = 0 for x.
-1, 1, 2
Let f(i) = i. Let y be f(3). Suppose 5*d = 2*d + 6. Factor -5*g**2 + 2*g**2 + g**d + 2*g**y.
2*g**2*(g - 1)
Let y(v) be the first derivative of 1/16*v**4 - 1 + 1/12*v**3 + 0*v + 0*v**2. Factor y(a).
a**2*(a + 1)/4
Let q(d) = 5*d**4 + 5*d**3 - 4*d**2 - 6*d - 7. Let w(p) = -p**4 + p + 1. Let g(y) = 2*q(y) + 14*w(y). Let g(z) = 0. Calculate z.
0, 1/2, 1
Let t(k) be the first derivative of 5/9*k**3 + 0*k - 1/4*k**4 - 1/6*k**2 - 1/3*k**5 - 6 + 2/9*k**6. Solve t(h) = 0.
-1, 0, 1/4, 1
Let q = -10 - -13. Let p be (3*-1)/(-6) + 1. Solve -p*y**q + 1/2*y**2 + y + 0 = 0.
-2/3, 0, 1
Let r(a) be the third derivative of a**8/336 - a**7/210 - a**6/60 + a**5/30 + a**4/24 - a**3/6 - 9*a**2. What is g in r(g) = 0?
-1, 1
Let o(a) be the first derivative of -a**3/5 - 3*a**2 - 15*a - 3. What is d in o(d) = 0?
-5
Let z(x) = -7*x**2 + 8*x - 3. Let a(o) = -6*o**2 + 8*o - 4. Let d(q) = 5*a(q) - 4*z(q). Suppose d(r) = 0. What is r?
2
Let w be (-3 - -7) + (3/(-3) - 0). Let n(a) be the second derivative of 0 + 0*a**2 + 1/36*a**4 - w*a + 1/18*a**3. Factor n(o).
o*(o + 1)/3
Let r(a) = a**2 + 3*a + 2. Let v be r(-4). What is c in -2*c**4 + 2*c - 13*c**3 - 4 + 0 - 20*c**3 + 31*c**3 + v*c**2 = 0?
-2, -1, 1
Suppose -8/3 + 2/3*b**3 + 0*b + 2*b**2 = 0. Calculate b.
-2, 1
Let c be 81/15 - (-4)/(-10). Suppose -13 = -c*y + 7. What is d in -y*d**3 - d + d + 4*d + 2 - 2*d**4 = 0?
-1, 1
Let y = 2/9 + 5/18. Suppose y*r - 5/4*r**2 + 0 = 0. What is r?
0, 2/5
Suppose 658 = -a + 3*a. Let p = a + -971/3. Factor -32/3*z**3 - 2/3 - p*z**2 + 14/3*z.
-2*(z + 1)*(4*z - 1)**2/3
Let a(h) be the second derivative of h**4/54 + 2*h**3/27 + h**2/9 + 8*h. Factor a(d).
2*(d + 1)**2/9
Suppose -14*h + 13*h = 0. Find x, given that -2*x + 5*x**2 + 3*x**3 + 0*x + h*x = 0.
-2, 0, 1/3
Let d = 9 - 5. Let f be 9/((-9)/(-3)) + -3. Suppose 0*g + f + 1/3*g**5 + 1/3*g**3 + 0*g**2 - 2/3*g**d = 0. What is g?
0, 1
Suppose -2*c + 4 = -0. Factor 20 - 3*a**2 - c*a - 20 - a**3.
-a*(a + 1)*(a + 2)
Let l(r) be the third derivative of 4*r**7/35 + 3*r**6/20 + r**5/20 - 10*r**2. Factor l(x).
3*x**2*(2*x + 1)*(4*x + 1)
Suppose 0 = 3*k + 2*k. Find z such that z**2 + k*z**2 + 0*z**2 - z**3 = 0.
0, 1
Let f = 35/12 - 9/4. Factor -f*o**3 - 4*o**4 + 11/3*o**2 + 1/3 + 8/3*o**5 - 2*o.
(o - 1)*(o + 1)*(2*o - 1)**3/3
Let i = -1 - -4. Let u(f) be the first derivative of 0*f + 1 - 1/12*f**4 - 2/9*f**i + 0*f**2. Suppose u(x) = 0. What is x?
-2, 0
Let x(n) be the second derivative of -n**6/1440 - n**5/120 - n**4/32 + n**3/6 - 7*n. Let z(r) be the second derivative of x(r). Let z(y) = 0. Calculate y.
-3, -1
Determine f, given that -8/5 - 4/5*f**3 + 12/5*f + 0*f**2 = 0.
-2, 1
Let i(l) be the first derivative of l**6/150 + l**5/50 - l**3/15 - l**2/10 + 5*l + 4. Let j(k) be the first derivative of i(k). Find m, given that j(m) = 0.
-1, 1
Factor 15*a**3 - 40*a**3 + 58*a**2 - 23*a**2 - 15*a + 3*a**4 + 2*a**4.
5*a*(a - 3)*(a - 1)**2
Let b be (-24)/18*(1 - -2). Let l be 18/b*(-4)/6. Factor 9*t - 8*t + 2 - 3*t**2 + t**2 - t**l.
-(t - 1)*(t + 1)*(t + 2)
Let q(v) = 4*v**3 - 6*v**2 + 2*v + 2. Let z(h) = -h**4 + h**3 + h**2 - h - 1. Let f(s) = q(s) + 2*z(s). Let f(a) = 0. Calculate a.
0, 1, 2
Let u(i) = 0 + 4*i + 6*i - 4 - 11*i. Let x be u(-4). Suppose x + 1/4*j**2 - 1/4*j = 0. Calculate j.
0, 1
Let d(h) be the second derivative of -h**8/1176 + 2*h**7/735 - h**6/420 + 3*h**2/2 - 2*h. Let o(p) be the first derivative of d(p). Factor o(s).
-2*s**3*(s - 1)**2/7
Let r(a) be the first derivative of 9/4*a**4 - 3*a**2 - 8 + 3*a**3 + 0*a - 21/5*a**5 + 3/2*a**6. Factor r(g).
3*g*(g - 1)**3*(3*g + 2)
Let g = 46 - 42. Solve -h**2 + 1/5*h**3 + 3/5*h**g + 2/5 - 1/5*h = 0.
-1, 2/3, 1
Let u be 14/24 - 1/4. Suppose 2 = 11*m + 2. Factor u*x + 2/3*x**2 + m + 1/3*x**3.
x*(x