= 11*h**3 - 39*h**2 - 30*h - 45. Let g(u) = 4*f(u) - 9*j(u). Let z be g(16). Factor -4/3*a**z - 1/3 - 4/3*a.
-(2*a + 1)**2/3
Let p be ((-3)/(-7))/((-9)/(-63)). Solve -3*s**5 + 3*s + 2*s**p + 2*s**5 + 0*s - 4*s = 0 for s.
-1, 0, 1
Suppose 3*i - 13 = -5*f, 0*f = -4*f + 2*i + 6. Find s such that -6*s**f + s**4 + 2*s**4 + 3*s**2 = 0.
-1, 0, 1
Let n(x) be the second derivative of -x**4/3 + 2*x**3/3 + x**2 + 2*x. Let z(k) = k**2 - k + 1. Let s(m) = -n(m) - 2*z(m). What is i in s(i) = 0?
-1, 2
Let c = -114 - -465/4. Factor -7/4*y**2 - 1/2 - c*y.
-(y + 1)*(7*y + 2)/4
Suppose 6 = 10*x - 8*x. Let k(n) be the first derivative of 2/3*n**x - 1 - n**2 + 1/2*n**4 - 2*n. Factor k(u).
2*(u - 1)*(u + 1)**2
Let b(f) = 1 + 0*f**4 - f**4 + 4*f + f**3 + 2*f**4 + 4*f**2 - 6. Let k(i) = -i**4 - i**3 - 2*i**2 - 2*i + 3. Let j(h) = 3*b(h) + 5*k(h). Solve j(d) = 0.
-1, 0, 1
Let j be (-10)/6 + 11 + -8. Factor 0 - 2/3*a - 2/3*a**3 - j*a**2.
-2*a*(a + 1)**2/3
Let z(v) be the second derivative of -v**7/1680 + v**6/240 - v**5/80 + v**4/48 + v**3/6 + 3*v. Let f(r) be the second derivative of z(r). Factor f(h).
-(h - 1)**3/2
Suppose 3*w**3 - 3*w**3 + w + 0*w**3 - w**3 = 0. What is w?
-1, 0, 1
What is a in -4/5 + 18/5*a - 14/5*a**2 = 0?
2/7, 1
Let n be 12/(-30) + (-4)/(-10). Find r, given that 1 + n*r**2 - 1 + 5*r**2 - 3*r = 0.
0, 3/5
Let a = 33/5 + -51/10. Factor 9/2*d - 9/2*d**2 - a + 3/2*d**3.
3*(d - 1)**3/2
Let i(y) = 25*y**2 - 3*y + 2. Let p(c) = 4*c - 3 + 0*c - 42*c**2 + 16*c**2. Suppose s = -2 - 2. Let r(v) = s*p(v) - 5*i(v). Factor r(j).
-(3*j + 1)*(7*j - 2)
Let a(g) be the third derivative of -1/132*g**4 + 0 - 1/33*g**3 + 3*g**2 + 0*g + 1/165*g**5. Factor a(b).
2*(b - 1)*(2*b + 1)/11
Let i(x) = 57*x**4 - 105*x**3 - 57*x**2 + 105*x. Let m(d) = 7*d**4 - 13*d**3 - 7*d**2 + 13*d. Let b(h) = -4*i(h) + 33*m(h). Factor b(t).
3*t*(t - 3)*(t - 1)*(t + 1)
Let j(c) be the second derivative of 2*c**6/15 - c**5 + 7*c**4/3 - 2*c**3 + 8*c. Suppose j(w) = 0. Calculate w.
0, 1, 3
Let g be (-28)/(-72)*3/28. Let r(c) be the second derivative of 1/4*c**3 - c - g*c**4 + 0 - 1/2*c**2. Factor r(n).
-(n - 2)*(n - 1)/2
Let q(v) be the second derivative of -3*v**5/100 + v**4/20 + v**3/10 - 3*v**2/10 + 2*v. Find t such that q(t) = 0.
-1, 1
Let x(g) be the first derivative of 3*g**5 - 5*g**4/2 - 20*g**3/3 + 5*g**2 + 5*g - 9. Determine b, given that x(b) = 0.
-1, -1/3, 1
Let a(r) be the third derivative of -r**6/320 - r**5/160 - 41*r**2. Factor a(j).
-3*j**2*(j + 1)/8
Let x = 13/3 - 11/3. Let n = -5/16 + 47/48. Determine z, given that -n*z**3 + x*z + 0*z**2 + 0 = 0.
-1, 0, 1
Find n such that -12 + 4*n - 1/3*n**2 = 0.
6
Let m(n) be the second derivative of 0*n**2 - 1/18*n**3 - 1/36*n**4 + 6*n + 0. Determine x, given that m(x) = 0.
-1, 0
Let o(h) = -h**2 + 2*h - 1. Let v be o(2). Let w(t) = -t**2 - 1. Let c(z) = -6. Let r(n) = v*c(n) + 3*w(n). Factor r(q).
-3*(q - 1)*(q + 1)
Suppose -6 = -5*b - 2*r, 0 = 2*b + 2*r + 3*r + 6. Let k(t) be the second derivative of 1/21*t**4 + t + 1/7*t**3 + 0 + 1/7*t**b. Let k(z) = 0. What is z?
-1, -1/2
Let f = 29 + -50. Let c be 3 - (-3)/(27/f). Factor c*b**3 + 0*b**2 + 0 + 0*b + 2/3*b**4.
2*b**3*(b + 1)/3
Let q(w) be the second derivative of w**6/135 - w**5/45 - 11*w**4/54 + 4*w**3/9 + 4*w**2 + 16*w. Factor q(p).
2*(p - 3)**2*(p + 2)**2/9
Let i be (1 - 1)*(-2)/(-2). Suppose -6*s + s + 10 = i. Factor q**s - 4*q**2 - 3*q**2 + 2 - 4*q.
-2*(q + 1)*(3*q - 1)
Let f(m) = -245*m**4 - 414*m**3 - 101*m**2 + 95*m + 7. Let s(g) = -858*g**4 - 1449*g**3 - 354*g**2 + 333*g + 24. Let i(z) = 18*f(z) - 5*s(z). Solve i(k) = 0.
-1, -1/8, 2/5
Let f be 40/22 - (-8)/44. Find j such that 13*j**4 + j**3 - 4*j**f + 3*j**4 - j**3 - 10*j**5 - 2*j**3 = 0.
-2/5, 0, 1
Let s(a) be the third derivative of -a**6/24 + a**5/12 + 5*a**4/24 - 5*a**3/6 + 8*a**2 - 2*a. Suppose s(z) = 0. What is z?
-1, 1
Let k(x) = 8*x**3 - 16*x**2 + 12*x - 6. Let v(f) = -f**4 - 15*f**3 + 31*f**2 - 23*f + 13. Let j(h) = -5*k(h) - 2*v(h). Solve j(p) = 0.
1, 2
Suppose 23*y = -9*y + 64. Let o = -68/5 - -14. Find z, given that -4/5 + 2/5*z**y + o*z = 0.
-2, 1
Suppose b + 0*b**2 + 1/2 - 1/2*b**4 - b**3 = 0. Calculate b.
-1, 1
Suppose 5*r = 5*c, -3*c = c + 4*r. Let q = -775/7 - -111. Factor c + 2/7*y**5 + 0*y + 6/7*y**4 + 6/7*y**3 + q*y**2.
2*y**2*(y + 1)**3/7
Let k(v) be the second derivative of v**4/6 - 2*v**3/3 - 7*v. Determine m, given that k(m) = 0.
0, 2
Let d(r) be the first derivative of 4*r**5/5 - 9*r**4/7 + 8*r**3/21 - 17. Factor d(s).
4*s**2*(s - 1)*(7*s - 2)/7
Determine o so that o**3 + 15*o**2 - 8*o - 3*o**3 - 23*o**2 = 0.
-2, 0
Determine b, given that -b + 0 + 1/2*b**2 + b**3 - 1/2*b**4 = 0.
-1, 0, 1, 2
Let k(s) be the first derivative of -s**5/10 - 5*s**4/8 - s**3/2 + 5*s**2/4 + 2*s + 11. Factor k(d).
-(d - 1)*(d + 1)**2*(d + 4)/2
Let w(j) be the first derivative of j**3/2 + 2. Find h, given that w(h) = 0.
0
Let n(a) = -8*a**2 + 2*a - 3. Let g(f) = -15*f**2 + 5*f - 5. Let w(p) = 3*g(p) - 5*n(p). What is o in w(o) = 0?
0, 1
Let a(l) be the first derivative of -1/3*l**3 - 1/12*l**4 - 6 + 0*l - 1/3*l**2. Determine b so that a(b) = 0.
-2, -1, 0
Let b(t) = -3*t + 3. Suppose -4*q - 15 = 5. Let x(p) = p**2 - 6*p + 5. Let y(i) = q*b(i) + 3*x(i). Find c, given that y(c) = 0.
0, 1
Let f(y) be the first derivative of 2*y**3/75 + 3*y**2/25 - 8*y/25 - 60. Factor f(k).
2*(k - 1)*(k + 4)/25
Let s be 1*(3 - (-368)/10). Let l = 40 - s. Factor 4/5*b**2 + l*b + 6/5*b**3 + 0 + 4/5*b**4 + 1/5*b**5.
b*(b + 1)**4/5
Suppose 6*b + 6 = 18. Let u(h) be the first derivative of 0*h**3 + 1/9*h**b + 0*h - 2 - 1/18*h**4. Suppose u(x) = 0. Calculate x.
-1, 0, 1
Let f(r) be the first derivative of r**2/2 - 4*r - 1. Let j be f(6). Suppose 2 + 5*o**j - 5*o**2 - 2*o**3 - 6*o + 6*o**2 = 0. Calculate o.
1
Let x(b) be the second derivative of 1/8*b**2 - 1/8*b**3 + 1/16*b**4 + 0 - 1/80*b**5 + 2*b. Factor x(s).
-(s - 1)**3/4
Let i = -1009/4 - -250. Let j = -7/4 - i. Factor j*d - d**2 + 1/2*d**3 + 0.
d*(d - 1)**2/2
Let n be 3/(-4 - (-18)/4). Suppose 0 = 5*a, d - 3 = 2*a - n*a. Factor 3/4*c + 1/4*c**d + 1/4 + 3/4*c**2.
(c + 1)**3/4
Suppose i + i - 60 = 0. Let f be (-1)/3 + i/9. Determine g so that 0*g**3 - 4*g**f + 2*g**3 - g**4 = 0.
-2, 0
Let f(w) = -w**3 - 3*w**2 - 2*w - 6. Let k be f(-3). Factor -1/6*l**4 + 0*l + k*l**3 + 1/3*l**2 - 1/6.
-(l - 1)**2*(l + 1)**2/6
Let s(r) be the third derivative of -r**5/480 + r**4/64 - r**3/24 - 35*r**2. Factor s(g).
-(g - 2)*(g - 1)/8
Let v = -116 - -1046/9. Let n(t) be the first derivative of 2/15*t**5 - v*t**3 + 1/6*t**4 - 1/3*t**2 + 0*t - 1. Let n(s) = 0. Calculate s.
-1, 0, 1
Suppose 0 = 3*l - 4*l + 5. Factor -4*p + 3 + 4*p + 2*p - l*p - 6*p**2 + 3*p**4 - 3*p**5 + 6*p**3.
-3*(p - 1)**3*(p + 1)**2
Let r(l) = 0*l + 0*l**2 + 9*l**3 - 12*l - 5*l**2 + 6 - 4*l**2. Let i(n) = -8*n**3 + 8*n**2 + 11*n - 5. Let s(z) = -6*i(z) - 5*r(z). Factor s(d).
3*d*(d - 2)*(d + 1)
Let q(j) be the first derivative of -j**5/60 - j**4/8 - 3*j**2/2 - 3. Let h(l) be the second derivative of q(l). Factor h(k).
-k*(k + 3)
Let t(b) be the second derivative of -2*b - 2/9*b**4 + 0 + 2/3*b**2 - 7/9*b**3. Factor t(g).
-2*(g + 2)*(4*g - 1)/3
Let h(i) be the third derivative of 0*i + 1/2016*i**8 + 0*i**3 + 1/630*i**7 - 2*i**2 + 0*i**4 + 0*i**5 + 0 + 1/720*i**6. Determine s so that h(s) = 0.
-1, 0
Suppose 0 = 5*h - 5 - 10. Suppose -h*q + 0*q = -12. Suppose 4/3*i**q + 2/3*i**5 - 4/3*i**2 + 0*i**3 + 0 - 2/3*i = 0. What is i?
-1, 0, 1
Solve 2/5*h**3 - 4/5 + 2/5*h**4 - 2*h - 6/5*h**2 = 0 for h.
-1, 2
Suppose m + 4*u = 14, 6*m - 5*u - 20 = m. Let p(v) = v + 7. Let f be p(m). Let 2*r + 6*r**3 + f*r**2 - 3*r**4 + 5*r**4 - 7*r**2 = 0. What is r?
-1, 0
Factor 1/4*o**2 + 3/4*o**5 + 1/4*o**3 - 5/4*o**4 + 0 + 0*o.
o**2*(o - 1)**2*(3*o + 1)/4
Let r(l) be the second derivative of -l**3/2 + l**2/2 + l. Let g be r(-1). Let -u**5 + 0*u**g - 4*u**3 + 3*u**3 - 2*u**4 = 0. Calculate u.
-1, 0
What is k in -3*k**3 - 6*k**3 + 2*k**3 + 6*k**3 - 4*k**2 - 3*k = 0?
-3, -1, 0
Let t(p) be the second derivative of p**4/12 - p**3/2 + p**2 - 3*p. Factor t(m).
(m - 2)*(m - 1)
Suppose -2*y**3 - y - 3*y**4 - 12*y**2 - 2*y + 6 + 8*y**3 + 9*y**4 - 3*y**5 = 0. Calculate y.
-1, 1, 2
Let c(d) be the third derivative of -d**5/45 + d**4/6 + 8*d**3/9 + 4*d**2. Factor c(n).
-4*(n - 4)*(n + 1)/