4*j. Let h(x) = 0. What is x?
-1, 0, 1
Let 4/15*z**2 - 2/15*z**5 + 4/15 + 2/3*z - 8/15*z**3 - 8/15*z**4 = 0. Calculate z.
-2, -1, 1
Suppose 13*d = -12*d + 4*d. Find q such that 4/3*q + 10/3*q**2 + 2*q**3 + d = 0.
-1, -2/3, 0
Let p(d) be the third derivative of d**7/420 - d**6/45 + d**5/15 + d**3/3 + 2*d**2. Let a(t) be the first derivative of p(t). Factor a(n).
2*n*(n - 2)**2
Suppose 17*v - 5*v + v = 0. Let f(q) be the first derivative of -8/15*q**5 + v*q + 1/12*q**2 - 1/2*q**3 + q**4 + 3. Factor f(k).
-k*(k - 1)*(4*k - 1)**2/6
Let y(z) be the third derivative of -z**7/1050 + z**6/300 - z**5/300 + 28*z**2. Factor y(h).
-h**2*(h - 1)**2/5
Let z = 182/531 + 6/59. Let b be (-24)/(-10) - (-2)/(-5). Let 0 + z*c - 2/9*c**b = 0. Calculate c.
0, 2
Let c(z) = z**2 + 2*z. Suppose 3*i + 6 = 2*n, -4*i = -0*i + 5*n + 8. Let x be c(i). Let x*y + 0 - 1/3*y**2 = 0. What is y?
0
Let q(t) be the first derivative of -12*t**5/25 + t**4/5 + 12*t**3/5 + 6*t**2/5 - 8*t/5 - 64. Determine k so that q(k) = 0.
-1, 1/3, 2
Let k(p) be the first derivative of 4*p**3/3 + 4*p**2 - 12*p + 13. Solve k(w) = 0 for w.
-3, 1
Suppose -4*h = -h - 15. Let g(l) be the second derivative of -1/20*l**h + l + 1/6*l**3 + 0*l**2 + 0*l**4 + 0. Find b such that g(b) = 0.
-1, 0, 1
Let w(k) = k**2 + 4*k - 2. Let a(c) be the second derivative of -c**4/12 - 5*c. Let n(h) = -3*a(h) - w(h). Factor n(g).
2*(g - 1)**2
Let v(s) = s**4 + s**3 - s**2 + s - 1. Let t(x) = 7*x**4 - 18*x**3 + 13*x**2 + 2*x - 2. Let a(h) = t(h) - 2*v(h). Factor a(w).
5*w**2*(w - 3)*(w - 1)
Let r(u) = -3*u**2 - 3*u - 2. Let g(k) = 8*k**2 + 8*k + 6. Let a(d) = -4*g(d) - 11*r(d). Solve a(o) = 0 for o.
-2, 1
Suppose 51*n**4 - 107*n**4 + 4*n**5 + 12*n**3 + 16*n**2 + 40*n**4 - 16*n = 0. What is n?
-1, 0, 1, 2
Let g(i) = -i - 7. Let h be g(6). Let f = -9 - h. Determine o so that -2*o**f + 18/7*o + 4/7 + 10/7*o**2 - 18/7*o**3 = 0.
-1, -2/7, 1
Let b(j) be the second derivative of j**5/5 + j**4/3 + j. What is g in b(g) = 0?
-1, 0
Let y be -1 + 0 + 3/9*5. Find p, given that 0 - 2/3*p + y*p**2 = 0.
0, 1
Suppose -m = -3*m + 4*x + 20, m = -x + 4. Let s be 56/36 - 4/m. Let 0 + 2/9*d**3 + 8/9*d**2 + s*d = 0. What is d?
-2, 0
Let n(h) = 11*h**4 + 50*h**3 + 114*h**2 - 56*h - 131. Let v(c) = c**4 - c**2 - c - 1. Let w(s) = n(s) - 6*v(s). Factor w(r).
5*(r - 1)*(r + 1)*(r + 5)**2
Let b(k) be the second derivative of -k**10/30240 - k**9/15120 + k**8/6720 + k**7/2520 - k**4/4 - 3*k. Let m(u) be the third derivative of b(u). Factor m(x).
-x**2*(x - 1)*(x + 1)**2
Factor 3/2*p**2 + 27/2 - 9*p.
3*(p - 3)**2/2
Let y = 1492/5 + -297. Determine k, given that -2/5 + y*k - 3/5*k**2 = 0.
1/3, 2
Let x(t) = -4*t**2 - 2*t + 3. Let f = -4 + 7. Let r(j) = 9*j**2 + 5*j - 7. Let h(w) = f*r(w) + 7*x(w). Find o such that h(o) = 0.
0, 1
Let s(c) be the first derivative of -25*c**6/2 + 57*c**5 - 171*c**4/2 + 52*c**3 - 12*c**2 + 6. Determine k, given that s(k) = 0.
0, 2/5, 1, 2
Factor -5 + 6*f + 48*f - 5*f**2 - 14*f - 30*f**2.
-5*(f - 1)*(7*f - 1)
Determine g, given that -4/11*g**2 + 6/11*g**4 - 2/11 + 8/11*g - 8/11*g**3 = 0.
-1, 1/3, 1
Let f = 15/7 + -38/21. Find a, given that -1/3*a**2 + 0 + 2/3*a**3 + f*a**4 + 0*a - 2/3*a**5 = 0.
-1, 0, 1/2, 1
Suppose -3*t**2 + 14*t - 6 + t - 6 = 0. Calculate t.
1, 4
Let d = -5 + 11. Let n(u) be the first derivative of 0*u**2 + 0*u - 1/18*u**4 + 1/27*u**d - 2/45*u**5 + 2/27*u**3 - 1. Factor n(y).
2*y**2*(y - 1)**2*(y + 1)/9
Let f(x) be the third derivative of -1/9*x**3 - 5/36*x**4 - 2/45*x**5 + 0*x + 4*x**2 + 0. Let f(d) = 0. What is d?
-1, -1/4
Let t(j) be the second derivative of j**5/20 - j**4/4 + j**3/2 - j. Let r be t(2). Solve 2*n - r*n**2 + 3*n**2 - 3*n**2 = 0.
0, 1
Let q(i) be the first derivative of -i**4/38 - 8*i**3/57 - 4*i**2/19 - 20. Suppose q(j) = 0. What is j?
-2, 0
Let s(p) be the first derivative of -p**6/6 + p**5/5 + 5*p**4/4 + p**3 + 47. Factor s(m).
-m**2*(m - 3)*(m + 1)**2
Let u(b) be the first derivative of -b**6/15 - 8*b**5/25 - 3*b**4/5 - 8*b**3/15 - b**2/5 + 5. Suppose u(v) = 0. Calculate v.
-1, 0
Factor -3*t**2 + 5*t - 4*t + 4*t - 6 + 4*t.
-3*(t - 2)*(t - 1)
Suppose -4*r - 3*z + 131 = 0, 2*r - 3*r - 5*z + 37 = 0. Solve -6*u**3 - r*u**5 + 0 + 1/2*u**2 + 24*u**4 + 0*u = 0 for u.
0, 1/4
Let r(h) be the third derivative of 4*h**2 + 3/2*h**3 + 0 - 1/4*h**4 + 0*h + 1/60*h**5. Factor r(w).
(w - 3)**2
Let u be (-2568)/(-40) + (-2)/10. Determine h, given that 73*h**3 - 32*h**3 - 4*h + 27*h**3 - u*h**5 + 0*h = 0.
-1, -1/4, 0, 1/4, 1
Let s be -9 - (3 + -1)/(-1). Let r(u) = 3*u**3 + 5*u**2 - 3*u. Let m = 9 - 4. Let d(z) = 4*z**3 + 7*z**2 - 4*z. Let b(j) = m*d(j) + s*r(j). Factor b(w).
-w*(w - 1)*(w + 1)
Let x(d) = -d**2 - 6*d - 1. Let o be x(-5). Suppose 3*j + c - 4*c - 12 = 0, 16 = -o*c. Suppose -1/2 + 19/4*h**3 - 9/4*h + 3*h**4 + j*h**2 = 0. Calculate h.
-1, -1/4, 2/3
Let x(z) be the second derivative of -2*z**5 - 2/5*z**6 + 0 - 6*z - 4*z**3 - 2*z**2 - 4*z**4. Factor x(k).
-4*(k + 1)**3*(3*k + 1)
Let c(v) be the first derivative of -v**6/27 - 4*v**5/45 + 29. Let c(k) = 0. Calculate k.
-2, 0
Let x(i) = -i**2 + 6*i + 20. Let b be x(8). Factor 2/5*q + 17/5*q**b + 11/5*q**2 + 0 + 21/5*q**3 + q**5.
q*(q + 1)**3*(5*q + 2)/5
Let o(q) be the second derivative of 5*q + 3/8*q**4 - 7/12*q**3 - 1/2*q**2 + 0. Find g such that o(g) = 0.
-2/9, 1
Let i be (-6)/9*(-96)/128. Factor i*m**3 - 1/4*m**4 - 1/4*m**2 + 0 + 0*m.
-m**2*(m - 1)**2/4
Suppose 20*r - 15 = 15*r. Let t(s) be the third derivative of 17/21*s**5 + 55/84*s**6 - 8/21*s**r + 0 + 2*s**2 + 1/21*s**4 + 0*s. Suppose t(v) = 0. Calculate v.
-2/5, 2/11
Let s(v) = -v - 10. Let a be s(0). Let b be a/(-2) + 0/2. Determine y so that -y**5 + 0*y**4 + y**4 + 2*y**b = 0.
-1, 0
Let v be (0/1)/(1 - 3). Let p be (v + 4)*2/4. Factor b**3 + 3*b**2 - p*b - 3*b**3 + 4*b**2 - 3*b**2.
-2*b*(b - 1)**2
Let d(v) be the first derivative of -5*v**3/3 + 6. Factor d(l).
-5*l**2
Determine f, given that -2/15*f**2 - 2/5*f + 0 = 0.
-3, 0
Let p(i) = 19*i**2 + 29*i + 15. Let h(f) = 10*f**2 + 15*f + 8. Let j(a) = 11*h(a) - 6*p(a). Factor j(k).
-(k + 2)*(4*k + 1)
Let x(l) = -l**2 - 3*l + 4. Let y be x(-3). Suppose -o + 4*o**4 + 0*o**2 + o + 2*o - 2*o**5 - y*o**2 = 0. What is o?
-1, 0, 1
Let m(p) = -2*p**2 + 6. Let q(f) = -f**2 + f + 4*f - 5 + 1. Let d be q(5). Let z(y) = 2*y**2 - 7. Let r(h) = d*z(h) - 5*m(h). Factor r(c).
2*(c - 1)*(c + 1)
Let u(o) be the first derivative of o**6/160 + o**5/40 - 3*o**4/32 + o**2 + 2. Let m(i) be the second derivative of u(i). Factor m(t).
3*t*(t - 1)*(t + 3)/4
Let -2*x**2 + 14*x - 14*x + 8 = 0. Calculate x.
-2, 2
Let l be (-48)/100*(-40)/9 + -2. Let h(z) be the first derivative of l*z**3 - 1/5*z**2 - 2/25*z**5 + 1/10*z**4 + 1 + 0*z. Find k such that h(k) = 0.
-1, 0, 1
Let n(q) = 3*q**2 + q - 1. Suppose -2*y = 4*h - 18, 0 = 4*y - 3*h + 2*h. Let g be n(y). Solve -2/7*f**g + 2/7*f**2 + 2/7*f - 2/7 = 0 for f.
-1, 1
Let j be (2 - 33/6)*-4. Let h = -11 + j. Solve 1/2*k**2 - 1/4*k**5 + 1/4 - 3/4*k**4 - 1/2*k**h + 3/4*k = 0 for k.
-1, 1
Let v = 85 - 80. Let z(x) be the second derivative of -1/15*x**6 + 3/10*x**v + 0*x**2 + 1/3*x**3 - 1/2*x**4 + 4*x + 0. Factor z(c).
-2*c*(c - 1)**3
Let i(v) be the second derivative of v**8/26880 + v**7/10080 - v**6/2880 - v**5/480 + v**4/6 + v. Let q(n) be the third derivative of i(n). Factor q(u).
(u - 1)*(u + 1)**2/4
Let p(s) = -s**3 - 5*s**2 - 3. Let i(t) = -3*t**3 - 11*t**2 - 7. Let v(b) = -3*i(b) + 7*p(b). Factor v(d).
2*d**2*(d - 1)
Let g be (-3 - -8) + (-159)/33. Factor g*i**3 - 2/11*i + 0 + 0*i**2.
2*i*(i - 1)*(i + 1)/11
Let d(i) be the first derivative of -4*i**5/15 + 2*i**4 - 44*i**3/9 + 4*i**2 - 18. Factor d(x).
-4*x*(x - 3)*(x - 2)*(x - 1)/3
Suppose 0 = 3*p - 0*p. Factor p*z**2 + 3*z + 9*z**2 - 2 + 0*z**2 - 3*z**3 - 7.
-3*(z - 3)*(z - 1)*(z + 1)
Solve 0 + 0*v + 0*v**3 - 2/7*v**4 + 2/7*v**2 = 0 for v.
-1, 0, 1
Let p = -446624/1659 - -1887/7. Let w = p - 2/79. Determine a so that -w + 2/3*a**2 + 0*a**3 - 1/3*a**4 + 0*a = 0.
-1, 1
Let x(y) = y**3 - 1. Let p(u) = -u**3 + 12*u**2 - 8*u - 3. Let h = 9 + -8. Let n(b) = h*p(b) - 3*x(b). Let n(r) = 0. What is r?
0, 1, 2
Suppose 2*s = -5*y, -2*y - s + 0*s - 1 = 0. Suppose -v + 0*v**3 + 0 - 3/2*v**y + 1/2*v**4 = 0. Calculate v.
-1, 0, 2
Factor -1/4*u**2 - 4 + 2*u.
-(u - 4)**2/4
Let d = 76 - 