. Determine i so that 18*i**3 - 19*i**3 - 2*i**g + 3*i**2 = 0.
0, 1
Suppose 166*o - 169*o + 6 = 0. Let k(h) = -2*h - 3. Let p be k(-3). Factor 0 + 3/2*j**o + j + 1/2*j**p.
j*(j + 1)*(j + 2)/2
Let p be 3*3/9*2. Factor 3*w + 1 - 2*w - p + w**2 - w**3.
-(w - 1)**2*(w + 1)
Let q = 10 - 8. Factor -2*g**2 + q*g + g**2 - 2*g + 1.
-(g - 1)*(g + 1)
Let g be 20/6*(-8)/(-20). Let o = 193/69 - 3/23. Factor 8/3*z**3 - g - 14/3*z - o*z**2.
2*(z - 2)*(2*z + 1)**2/3
Factor 10/17*p**4 + 10/17*p + 2/17*p**5 + 2/17 + 20/17*p**3 + 20/17*p**2.
2*(p + 1)**5/17
Let p(v) = v**2 - 4. Let x be p(3). Factor 0*b**3 + 8*b**2 + 10*b + 4*b**3 - x*b**3 + 3*b**3 + 4.
2*(b + 1)**2*(b + 2)
Let k(a) = -2*a**3 + 11*a**2 + 3*a + 11. Let c(x) = -x**3 + 5*x**2 + 2*x + 6. Let i(w) = -13*c(w) + 6*k(w). Find q, given that i(q) = 0.
-2, 3
Let i be ((-18)/(-10))/(2/10). Suppose -4*o + i = -z + o, 3 = o. Factor 10*w**4 - 20*w**3 - 5 + 10*w + 1 + 10*w**4 - z*w**5.
-2*(w - 1)**4*(3*w + 2)
Suppose 2*w + w - 3 = 0. Let d(b) = 3*b**3 - 2*b**2 + 1. Let t be d(w). Find l, given that 1/3*l**t - 2/3*l + 1/3 = 0.
1
Let l(n) = n**2 + 4*n - 2. Let z(a) = -4*a + 2. Let g(p) = -2*l(p) - 3*z(p). Factor g(h).
-2*(h - 1)**2
Let f(g) be the first derivative of -8*g**3/9 - 7*g**2/3 + 4*g/3 + 21. What is n in f(n) = 0?
-2, 1/4
Let n(o) be the first derivative of -o**6/24 - o**5/20 + 3*o**4/16 + o**3/12 - o**2/4 + 28. Solve n(t) = 0.
-2, -1, 0, 1
Let r(y) be the first derivative of 3 + 0*y**4 + 0*y**3 - 1/110*y**5 - 1/165*y**6 + 0*y**2 - 2*y. Let i(v) be the first derivative of r(v). Factor i(m).
-2*m**3*(m + 1)/11
Let v(p) be the first derivative of -5*p**5 - 105*p**4/4 - 18*p**3 + 50*p**2 - 24*p - 16. Find f such that v(f) = 0.
-3, -2, 2/5
Let f be (-4 - -4) + 1 + 56. Let p = f - 284/5. Factor 0*u - 2/5*u**3 + 0 - p*u**2 - 1/5*u**4.
-u**2*(u + 1)**2/5
Let h = 29/48 + -5/48. Factor -m + 0*m**2 + h*m**4 - 1/2 + m**3.
(m - 1)*(m + 1)**3/2
Let 72 - 2*t - 14*t - 84 - 4*t**2 = 0. Calculate t.
-3, -1
Let -5*f**4 - 4*f**5 + 3*f**5 - 7*f**3 + 15*f**2 - 14*f**2 + 4 + 8*f = 0. Calculate f.
-2, -1, 1
Let m = -10 + 12. Determine b, given that -m*b**4 + 2 + 2*b + 4*b - 4*b**3 - 4*b + 2*b = 0.
-1, 1
Let y be (2 + -1)*(-18 - -20). Factor 6*p + y + 11/2*p**2 + 3/2*p**3.
(p + 1)*(p + 2)*(3*p + 2)/2
Let 7*l**2 + 6*l + 9*l**2 - 19*l**2 - 3*l = 0. Calculate l.
0, 1
Suppose -88 - 52 = 4*b. Let n be 1*-3 - 119/b. Suppose 6/5*j**2 - 2/5*j**3 - 6/5*j + n = 0. What is j?
1
Let b(r) = -2 + 1 + 5 - r. Let c be b(2). Solve -3*w**c + 2*w**4 - 2*w**3 + 0*w**2 - w**2 = 0.
-1, 0, 2
Let z(m) = 55*m**3 + 210*m**2 + 130*m. Let c(k) = -5*k**3 - 19*k**2 - 12*k. Let w(v) = 65*c(v) + 6*z(v). Let w(q) = 0. Calculate q.
-5, 0
Suppose -2/5*j**2 + 1/5*j**3 + 0*j + 0 = 0. What is j?
0, 2
Factor -10*v**3 - 11*v**3 - 87*v + 90*v**2 + 31 - 13.
-3*(v - 3)*(v - 1)*(7*v - 2)
Suppose 0 = 6*m - 146 + 50. Let u be (12/8)/(54/m). Factor -2/3*d + 2/9*d**2 + u.
2*(d - 2)*(d - 1)/9
Suppose a - 5*b - 11 = -0*a, -5*a = b - 3. Suppose -4*q**2 + q + 1 + 2*q**4 - a + 2*q**2 - q**5 = 0. Calculate q.
-1, 0, 1
Factor 4*d + 2*d - 3*d**4 - 3*d**3 - 48*d**2 + 51*d**2 - 3*d.
-3*d*(d - 1)*(d + 1)**2
Let l(u) = u**3 + u**2 + 35*u + 19. Let b(w) = w**2 - w + 1. Let a(j) = 40*b(j) + 5*l(j). Determine p, given that a(p) = 0.
-3
Suppose 5*w + 16 + 4 = 0, 3*m = 3*w + 36. Let c = -79/3 + 27. Solve c - 2/3*g - 26/3*g**2 + m*g**4 + 2/3*g**3 = 0 for g.
-1, -1/3, 1/4, 1
Let r(w) be the third derivative of -w**7/280 + w**6/60 - w**5/40 - w**3/6 + 5*w**2. Let g(k) be the first derivative of r(k). Suppose g(m) = 0. What is m?
0, 1
Factor -4*f**2 + 6*f**4 + 0*f**3 - 2 - 29*f**5 - 4*f**3 + 6*f + 27*f**5.
-2*(f - 1)**4*(f + 1)
Let k = -6 + 8. Let c = 6 - 4. Find w such that 5 - 2 - 1 - 5*w**k - w - c*w**3 = 0.
-2, -1, 1/2
Let w = -44 + 47. Let l be w/(0/3 - -2). Factor -3*k + 3/2 + l*k**2.
3*(k - 1)**2/2
Let r(w) be the third derivative of w**7/1680 - w**6/720 - w**3/3 + 5*w**2. Let l(i) be the first derivative of r(i). Determine x so that l(x) = 0.
0, 1
Let x = 1/21 - -2/7. Suppose 0 = -5*k + 25 - 5. Solve 0*h**3 + x*h**5 + 0*h + 0 + 0*h**2 - 1/3*h**k = 0.
0, 1
Let r = 3 - 0. Suppose 16 = r*n + 7. Factor -3*j**2 + 1 + j**n + 3 + 0.
(j - 2)**2*(j + 1)
Suppose 3*u + 0*u = 42. Determine h so that u*h**3 - 2*h**2 + 4 - 8*h**4 + 9*h**2 + 5*h**2 - 14*h - 8 = 0.
-1, -1/4, 1, 2
Let z = -11 + 17. Let i(f) be the second derivative of -1/12*f**z + 0*f**3 + 0*f**2 + 3*f + 0 + 1/20*f**5 + 0*f**4. Factor i(u).
-u**3*(5*u - 2)/2
Determine f, given that -12*f**2 + 0*f - 2/3*f**4 + 18 - 16/3*f**3 = 0.
-3, 1
Let g(z) be the third derivative of z**6/45 + z**5/90 - z**2. Let g(o) = 0. What is o?
-1/4, 0
Let d = 38 - 23. Let i = d + -12. What is c in 0 + 2*c**i + 14/5*c**2 + 4/5*c = 0?
-1, -2/5, 0
Let w(j) = j**2 + 9*j + 2. Let r be w(-9). Suppose -11 = -3*t + 4*h, 2*t - 3*t + h + 4 = 0. Factor -3/2*d**3 + 0*d**4 + 0*d**r + 3/4*d**t + 3/4*d + 0.
3*d*(d - 1)**2*(d + 1)**2/4
Suppose 76*n - 73*n = 0. Factor -2/3*r**3 + 0*r**2 + n + 0*r.
-2*r**3/3
Let n = 333/27416 - 1/184. Let x = 291/1043 + n. Factor 4/7*i - x*i**2 - 2/7.
-2*(i - 1)**2/7
Determine t, given that 3/2*t**2 - 9/4*t**3 + 0 + 0*t - 3/2*t**4 = 0.
-2, 0, 1/2
Let z(i) be the second derivative of i**7/63 + 2*i**6/15 + 7*i**5/15 + 8*i**4/9 + i**3 + 2*i**2/3 + 20*i. Factor z(n).
2*(n + 1)**4*(n + 2)/3
Let z(s) be the second derivative of -5*s**7/42 - s**6/2 - 3*s**5/4 - 5*s**4/12 + 7*s. Factor z(c).
-5*c**2*(c + 1)**3
Let p(w) = w**2. Let d(k) = 4*k**2 + 16. Let c(y) = d(y) - 8*p(y). Determine z, given that c(z) = 0.
-2, 2
Let r(z) be the second derivative of -z**7/3150 + z**6/900 + z**5/75 - z**4/12 + 5*z. Let l(i) be the third derivative of r(i). Factor l(b).
-4*(b - 2)*(b + 1)/5
Find c such that -5*c**2 + 1 + 4*c**2 + 3*c**2 - 3 = 0.
-1, 1
Let 4/3*g**2 - 4/3*g - 1/3*g**3 + 0 = 0. Calculate g.
0, 2
Let y(i) be the third derivative of -7/30*i**6 + 0*i**3 - 2/21*i**7 + 2/15*i**5 + 0*i + 0*i**4 - 3*i**2 + 0 + 1/21*i**8. Determine v, given that y(v) = 0.
-1, 0, 1/4, 2
Factor 0*i**2 - 1/8*i + 1/8*i**3 + 0.
i*(i - 1)*(i + 1)/8
Let x(p) = 5*p + 113. Let d be x(-22). Determine r so that 0 + 0*r + 6/7*r**2 + 2/7*r**d = 0.
-3, 0
Let r(l) be the third derivative of 2*l**2 + 1/216*l**8 + 0*l + 0*l**4 + 0 + 11/540*l**6 + 0*l**3 - 16/945*l**7 - 1/135*l**5. Determine k so that r(k) = 0.
0, 2/7, 1
Let n = -619 - -1858/3. Factor 0 - n*d**3 + 0*d + 1/3*d**2.
-d**2*(d - 1)/3
Find b such that b + 1/3*b**4 + 0 - b**3 - 1/3*b**2 = 0.
-1, 0, 1, 3
Let o(p) = -1. Suppose 3*j + 2*k = -2, 5*j + k - 2*k - 14 = 0. Let m(d) = 2*d - 2*d**2 - 3 - d + d**j. Let z(i) = m(i) - 3*o(i). Factor z(r).
-r*(r - 1)
Suppose -12 - 3 = -3*b. Factor -4*j - 8*j**3 - b + 5 + 18*j**2.
-2*j*(j - 2)*(4*j - 1)
Let i = -164 - -168. Factor 0 + 0*h - 3/4*h**2 - 3/2*h**3 - 3/4*h**i.
-3*h**2*(h + 1)**2/4
Let d = 317045/36 + -8806. Let g = d + -5/9. Factor g*w**3 + 1/4*w + 0 - 1/2*w**2.
w*(w - 1)**2/4
Let h be (-1 + (-3)/(-2))*0. Suppose 5*q - 3 = -k - h*k, -2*k - q + 6 = 0. Factor g**2 + 2*g**3 - 4*g**3 + k*g**3.
g**2*(g + 1)
Let d(b) be the second derivative of -b**6/120 - 3*b**5/80 - b**4/16 - b**3/24 + 17*b. Factor d(o).
-o*(o + 1)**3/4
Let f = -1339/2 - -673. Factor 0*r - 11/2*r**3 - f*r**5 - 8*r**4 + 0 - r**2.
-r**2*(r + 1)**2*(7*r + 2)/2
Let h(u) be the third derivative of -1/60*u**6 + 0 + 0*u**4 + 0*u + 4*u**2 + 0*u**3 - 1/15*u**5. Factor h(s).
-2*s**2*(s + 2)
Let o(m) = m**2 - 5*m - 4. Let g(j) = -j - 1. Let y(z) = 4*g(z) - o(z). Suppose y(f) = 0. What is f?
0, 1
Suppose -5*l - 8 = 7, 0 = -h - 2*l + 2. Let c(k) = -15*k**3 + 4*k**2 - 5*k. Let b(r) = 23*r**3 - 6*r**2 + 8*r. Let m(p) = h*c(p) + 5*b(p). Solve m(y) = 0 for y.
0, 2/5
Factor -2*o**2 + 5*o**2 + 0*o**2 + 2*o - 4*o**3 + 5*o**3.
o*(o + 1)*(o + 2)
Factor 10/3 - 8/3*j - 2/3*j**2.
-2*(j - 1)*(j + 5)/3
Factor 3/7 - 6/7*x + 3/7*x**2.
3*(x - 1)**2/7
Let b = -1/207 + 214/1449. Let -2/7*t - 1/7 - b*t**2 = 0. What is t?
-1
Let u(b) be the second derivative of -b**7/35 + b**6/40 + b**5/20 + b**2/2 + 3*b. Let f(x) be the first derivative of u(x). Factor f(v).
-3*v**2*(v - 1)*(2*v + 1)
Let j(t) = t - 12. Let w be j(9). Let i(l) = -l**3 - 3*l**2 + 2. Let h be i(w). Suppose -2*p**3 - p + p**h + p**4 + p = 0. Calculate p.
0, 1
Let a(r) = r**2 + 4*r. Let v be a