**2 - 4*t + 8. Suppose -2*w = 2, -2*w + 1 = r - 0*r. Let a(b) = r*z(b) + 24*k(b). Factor a(o).
3*o*(o + 1)*(o + 2)*(9*o - 2)
Let v(i) = -i - 1. Let h(s) be the first derivative of 2*s**3/3 - s**2/2 + s + 1. Let o(a) = -h(a) - v(a). Find k such that o(k) = 0.
0, 1
Let p(h) = 2*h**3 + h**2 + 2*h - 3. Let s be p(1). Let 1/6*n**4 - 1/2*n**3 - 1/6*n + 1/2*n**s + 0 = 0. Calculate n.
0, 1
Factor 4/5*y**2 + 0 - 2/5*y**3 + 0*y.
-2*y**2*(y - 2)/5
Let z = -34 - -28. Let a be 6 + -2 - (-20)/z. Find s, given that 0*s**2 + a*s - 2/3*s**3 + 0 = 0.
-1, 0, 1
Let v(g) be the first derivative of g + 1/3*g**3 + 4 - g**2. Determine o, given that v(o) = 0.
1
Let q(l) be the first derivative of 3*l**4/4 - 3*l**2/2 + 15. Factor q(x).
3*x*(x - 1)*(x + 1)
Let v = 22 - 20. Let u(t) = -15*t**4 - 10*t**3 - 7*t**2 - 12*t. Let y(z) = -z**4 - z**3 - z**2 - z. Let i(a) = v*u(a) - 22*y(a). Solve i(s) = 0 for s.
-1, 0, 1/4, 1
Let d be 18/20 + 3/(-6). Let c(x) be the first derivative of d*x - 2/5*x**2 + 2 + 2/15*x**3. Factor c(f).
2*(f - 1)**2/5
Suppose 0*z - 4*k = z - 14, -3 = -k. Let p(m) be the second derivative of -3*m + 0*m**z - 1/12*m**4 + 0 - 1/12*m**3 - 1/40*m**5. Let p(s) = 0. Calculate s.
-1, 0
Solve 0 + 4/5*l + 6/5*l**2 - 6/5*l**3 - 4/5*l**4 = 0 for l.
-2, -1/2, 0, 1
Let x(n) be the third derivative of n**7/140 - n**6/80 - n**5/40 + n**4/16 - 4*n**2. Factor x(b).
3*b*(b - 1)**2*(b + 1)/2
Let l = 22 + -20. Suppose 0*i + 0 - 1/3*i**3 - 1/3*i**l = 0. Calculate i.
-1, 0
Let h(y) be the first derivative of -7/3*y**3 - 2*y + 9/2*y**2 + 1. Factor h(r).
-(r - 1)*(7*r - 2)
Let o = -141/2 - -69. Let s = -1 - o. Find c, given that -s*c**3 - 3/2*c**2 - 1/2 - 3/2*c = 0.
-1
Factor 4*d - 790 + 790 - 4*d**2.
-4*d*(d - 1)
Factor 2/7 - 1/7*k**2 - 1/7*k.
-(k - 1)*(k + 2)/7
Let w(d) be the second derivative of -d**4/30 + d**2/5 - 2*d. Suppose w(k) = 0. Calculate k.
-1, 1
Let c(g) be the first derivative of g**4 + 8*g**3/3 - 14*g**2 + 16*g - 6. Factor c(v).
4*(v - 1)**2*(v + 4)
Let o(r) be the second derivative of r**4/21 + 8*r**3/21 + 8*r**2/7 + 2*r. Determine n so that o(n) = 0.
-2
Let g(w) = -6*w**2 + 84*w - 301. Let h(c) = -3*c**2 + 42*c - 151. Let a(k) = -4*g(k) + 7*h(k). Let a(t) = 0. What is t?
7
Let s(q) = q - 21. Let d be s(12). Let k be ((-7)/d)/(16/32). Factor -8/3*f - 8/9 + k*f**2.
2*(f - 2)*(7*f + 2)/9
Let r be 1 - (45/21)/3. Let g = r + 3/14. Factor -5/2*k + 1 + 1/2*k**3 + 3/2*k**2 - g*k**4.
-(k - 1)**3*(k + 2)/2
Suppose -8*q**2 - 5*q + 6*q - 3*q + 10*q**2 = 0. Calculate q.
0, 1
Let u(i) be the first derivative of -4*i**3 - 4*i**2 + 4*i + 5. Suppose u(p) = 0. Calculate p.
-1, 1/3
Let o be (-2)/(-4)*0 - 0. Suppose -q + 0*q + 4 = o. Find r such that -10*r**5 - 4*r**4 + 7*r**4 + 3*r**4 + q*r**3 = 0.
-2/5, 0, 1
Factor 2/3*r**3 + 2/9*r + 0 + 2*r**4 - 10/9*r**2.
2*r*(r + 1)*(3*r - 1)**2/9
Let 2/17*t**3 + 0 + 2/17*t**2 - 4/17*t = 0. Calculate t.
-2, 0, 1
Solve 8/7 - 20/7*m + 12/7*m**2 = 0.
2/3, 1
Determine w so that -8/3*w**2 - 5/3*w**3 + 0*w + 0 = 0.
-8/5, 0
Let z(s) = -5*s**2 - 19*s + 25. Let u(n) = 3*n**2 + 9*n - 12. Let h(j) = 13*u(j) + 6*z(j). Find v such that h(v) = 0.
-1, 2/3
Let d(n) = 5 - 4 + 3 - 3. Let c(w) = 3*w**3 - 5*w**2 - 2*w - 2. Let g(j) = c(j) + 2*d(j). Suppose g(q) = 0. Calculate q.
-1/3, 0, 2
Let z(p) = p**2 - 5*p + 3. Let i = 25 - 20. Let c be z(i). Solve 2/7*v - 2/7*v**5 - 4/7*v**2 + 0*v**c + 0 + 4/7*v**4 = 0.
-1, 0, 1
Let r(v) be the first derivative of v**3/3 + 3*v**2 + 9*v - 13. Factor r(q).
(q + 3)**2
Let b(h) = 162*h**2 - 72*h + 4. Let y(a) be the second derivative of -a**2/2 + a. Let u(r) = -b(r) + 4*y(r). Solve u(t) = 0.
2/9
Suppose -5*r - 5 = -6*r. Let u(d) be the first derivative of -2*d - 6*d**3 - 7/2*d**4 - r*d**2 - 4/5*d**5 - 2. Find j, given that u(j) = 0.
-1, -1/2
Let x(h) be the third derivative of -h**8/72 + 44*h**7/315 - 103*h**6/180 + 11*h**5/9 - 13*h**4/9 + 8*h**3/9 + 29*h**2. Let x(t) = 0. Calculate t.
2/7, 1, 2
Let q(s) be the third derivative of -5*s**8/336 - s**7/120 + 31*s**6/480 + s**5/48 - 11*s**4/96 + s**3/12 + 11*s**2. Determine u so that q(u) = 0.
-1, 1/4, 2/5, 1
Let 0*x - 5/3*x**2 + 0 - 5/3*x**3 = 0. Calculate x.
-1, 0
Let s(l) be the third derivative of -4*l**2 + 1/60*l**4 - 2/45*l**3 + 0*l + 0 - 1/450*l**5. Factor s(o).
-2*(o - 2)*(o - 1)/15
Suppose 5/4*m**5 + 0 + 0*m**2 - 5/2*m**3 + 0*m - 5/4*m**4 = 0. Calculate m.
-1, 0, 2
Factor 2/3*n**2 - 1/3*n + 0 - 1/3*n**3.
-n*(n - 1)**2/3
Let p(d) = -2*d**2 + 24*d + 5. Let c be p(12). Solve -5/2*i**c + 5*i**2 - 4*i**4 + 2*i**3 + 1/2*i - 1 = 0.
-1, 2/5, 1
Let s = 15 - 10. What is y in 5*y - 4*y**5 - 4*y**2 + 2*y**s - 3*y + 4*y**4 = 0?
-1, 0, 1
What is f in -15*f - f - 24*f**3 + 4 + 7*f**4 + 43*f**2 - 8*f - 6*f**3 = 0?
2/7, 1, 2
Determine j, given that 0*j + 0 - 1/3*j**3 + 0*j**2 = 0.
0
Let f = 16 - 16. Let n(k) be the third derivative of -2*k**2 + 1/3*k**3 + 1/30*k**5 + 0 - 1/6*k**4 + f*k. Determine v, given that n(v) = 0.
1
Let g(u) = -3*u**2 + u - 4. Let s be g(-2). Let y be 4/s*-24 + -3. Let 5/3*z**2 + 0 - y*z**3 + 2/3*z = 0. What is z?
-2/7, 0, 1
Let w = 36 - 32. Let d(f) be the third derivative of 1/120*f**w + 1/15*f**3 - f**2 - 1/300*f**5 + 0 + 0*f. Factor d(h).
-(h - 2)*(h + 1)/5
Let m = -10 - -20. Let h(d) = -d + 14. Let j be h(m). Let 3 - 2*u**4 - 2 - 2*u**2 + 3*u**j = 0. What is u?
-1, 1
Suppose 0 = 4*w - 8. Suppose 0 = -w*v - 2*m, 2*m + 0 = 4*v - 12. Factor 8/5*a + v*a**3 + 26/5*a**2 - 8/5.
2*(a + 1)*(a + 2)*(5*a - 2)/5
Let i = -48 - -51. Find j such that 0*j - 2/9*j**2 + 0 - 2/9*j**i = 0.
-1, 0
Let t(o) = 20*o**3 - 135*o**2 + 360*o - 80. Let u(s) = -s**2. Let p(q) = t(q) + 30*u(q). Factor p(f).
5*(f - 4)**2*(4*f - 1)
Let z(w) be the first derivative of 0*w**2 - 1 - w - 1/60*w**4 + 0*w**3. Let m(u) be the first derivative of z(u). Let m(r) = 0. What is r?
0
Let z(s) be the third derivative of s**5/240 - s**4/96 - s**3/12 - 9*s**2. Factor z(v).
(v - 2)*(v + 1)/4
Factor -8/3*q**2 - 26/9*q**3 + 0 - 8/9*q - 2/9*q**5 - 4/3*q**4.
-2*q*(q + 1)**2*(q + 2)**2/9
Factor -6*r - r**3 - 31*r**2 + 5*r + 33*r**2.
-r*(r - 1)**2
What is j in 2/11*j**2 - 10/11*j + 0 = 0?
0, 5
Let x = 6 - 3. Let z(i) be the third derivative of -1/24*i**4 + 0*i**x - 1/20*i**5 + i**2 - 1/40*i**6 + 0*i - 1/210*i**7 + 0. Factor z(j).
-j*(j + 1)**3
Let r(o) = -o + 8 + o + 2*o - 6 - 4*o**2. Let a(f) = 15*f**2 - 7*f - 8. Let w(z) = -6*a(z) - 22*r(z). Find m such that w(m) = 0.
-2, 1
Let k(l) be the first derivative of 0*l**3 - 3*l - 3 - 1/12*l**4 + 0*l**2. Let i(y) be the first derivative of k(y). Factor i(g).
-g**2
Let z be (-1)/(-6) - ((-52)/(-24) + -2). Factor -1/5*c**2 + z - 1/5*c + 1/5*c**3 + 1/5*c**4.
c*(c - 1)*(c + 1)**2/5
Let q(w) = 190*w**2 - 2215*w + 8695. Let j(s) = -7*s**2 + 82*s - 322. Let f(k) = -55*j(k) - 2*q(k). Find b such that f(b) = 0.
8
What is y in -5/7*y + 1/7*y**2 + 4/7 = 0?
1, 4
Let x be (2 - 3)*30/(-5). Suppose x*f - 4*f = 6. Solve -2*q**f + 2/5 + 2*q + 6/5*q**2 - 8/5*q**4 = 0.
-1, -1/4, 1
Suppose -90*o**2 + 0*o**3 - 3*o**3 + 415*o - 1080 + 8*o**3 + 125*o = 0. Calculate o.
6
Let l(t) be the third derivative of -t**8/30240 + t**7/7560 - 3*t**5/20 + 10*t**2. Let r(c) be the third derivative of l(c). Factor r(s).
-2*s*(s - 1)/3
Let z = -40 - -40. Find a, given that 2/7*a**3 + z - 4/7*a - 2/7*a**2 = 0.
-1, 0, 2
Let a = -23 - -34. Suppose 7*f + 12 = a*f. Factor 0*c**2 - 1/2*c + 1/2*c**f + 0.
c*(c - 1)*(c + 1)/2
Let n(g) = 14*g**2 - 23*g - 1. Let h(z) = 42*z**2 - 68*z - 2. Let s(x) = -5*h(x) + 14*n(x). What is c in s(c) = 0?
2/7, 1
Let z be 5*4/6 + -3. Solve 2/3*g**4 + 0 + 0*g + g**3 + z*g**2 = 0.
-1, -1/2, 0
Factor -15/4*n**2 + 3/4*n**3 - 3/4*n + 15/4.
3*(n - 5)*(n - 1)*(n + 1)/4
Let z(s) be the third derivative of 1/36*s**4 + 0*s**5 + 0 + 0*s + 0*s**3 + 5*s**2 - 1/180*s**6. Factor z(g).
-2*g*(g - 1)*(g + 1)/3
Factor -2*c**2 - 8*c**2 - c - 5*c**3 - 7*c + 3*c.
-5*c*(c + 1)**2
Let z = -4 - -5. Let a be (-5)/(-6) + z/(-6). Determine b so that 0*b**2 - a*b**3 + 0 + 0*b + 0*b**4 + 2/3*b**5 = 0.
-1, 0, 1
Let d(i) be the third derivative of i**6/60 - i**5/30 - 5*i**4/12 - i**3 + 8*i**2. Determine m, given that d(m) = 0.
-1, 3
Let h(u) = -u**3 - 2*u**2 + 22*u + 59. Let x be h(-3). Suppose 0 - 3*t - 3/2*t**x = 0. What is t?
-2, 0
Let k = -5 - -9. Solve -3*s**4 + 1 - 7*s**2 + k*s**4 + 5*s**2 = 0 for s.
-1,