*i**3 + 0*i + 1/10*i**o + 0*i**2. Factor x(q).
2*q**2*(q - 1)/5
Let j = 1 - -1. Factor 2*q**5 - 9 - j*q**3 + 9.
2*q**3*(q - 1)*(q + 1)
Suppose -8*g + 15 = -3*g. Factor 3*n**2 + 3*n**5 + 23*n**4 - 2*n**3 - n**g - 26*n**4.
3*n**2*(n - 1)**2*(n + 1)
Solve -3*b - 3/2*b**2 - 3/2 = 0 for b.
-1
Let l(k) = -7*k + 2. Let y(r) = -8*r + 2. Let t(f) = 3*l(f) - 2*y(f). Let v be t(-4). Factor 2*h**3 + v*h + 12*h**3 - 5 - 32*h**2 + 1.
2*(h - 1)**2*(7*h - 2)
Let y(i) = -9*i**2 + 17*i - 3. Let t(u) = u**2 - u - 1. Let s(a) = 5*t(a) + y(a). Solve s(j) = 0 for j.
1, 2
Let m be 4/2 + 4*1. Suppose -o - o = -m. Factor 0*b + 0*b**2 - 3/5*b**5 + 3/5*b**4 + 0*b**o + 0.
-3*b**4*(b - 1)/5
Suppose 0 - 3*m + 6 + 0*m - 2*m**2 - m = 0. Calculate m.
-3, 1
Suppose -3*u = 3*j + 33, 5*j - 3*u + 0*u + 15 = 0. Let x = 9 + j. Find p such that 1/4 + 1/4*p**x - 1/4*p - 1/4*p**2 = 0.
-1, 1
Factor -14/11*d**2 + 16/11*d + 2/11*d**3 + 32/11.
2*(d - 4)**2*(d + 1)/11
Suppose -4*d - c = -10, -4*d + d + c = -4. Determine r, given that -16*r**d - r**4 + 4*r**4 + r**4 = 0.
-2, 0, 2
Factor 3*t**3 - 19*t**2 - 32 - 3*t**3 + t**3 - 49 + 99*t.
(t - 9)**2*(t - 1)
Let v(p) be the second derivative of p**5/5 - 4*p**4/3 + 10*p**3/3 - 4*p**2 - 10*p. Factor v(l).
4*(l - 2)*(l - 1)**2
Let o(s) = -s - 5. Let k be o(0). Let i be 30/8 + (k - -2). Factor i*b + 1/4*b**3 - 1/4 - 3/4*b**2.
(b - 1)**3/4
Let f(x) be the first derivative of x**8/5040 - x**7/504 + x**6/120 - 7*x**5/360 + x**4/36 - x**3/3 - 1. Let d(t) be the third derivative of f(t). Factor d(z).
(z - 2)*(z - 1)**3/3
Let m(x) be the second derivative of 2/15*x**6 - 3*x + 1/8*x**2 + 1/48*x**4 + 0 + 3/10*x**5 - 1/4*x**3. Factor m(u).
(u + 1)**2*(4*u - 1)**2/4
Let n(x) be the second derivative of 0 + 1/6*x**4 - 6*x + 0*x**2 + 0*x**3 - 1/10*x**5. Factor n(v).
-2*v**2*(v - 1)
Factor -3/8*s + 3/8*s**2 - 3/4.
3*(s - 2)*(s + 1)/8
Let m = -50 - -54. What is v in 2/9*v**2 + 0*v - 2/3*v**3 + 0 + 2/3*v**m - 2/9*v**5 = 0?
0, 1
Let l(k) = k + 6. Let x be l(-6). Let a = 2 - x. Find o, given that -3*o**2 + 14*o**3 - 6*o**4 + 0*o - 7*o**2 + a*o = 0.
0, 1/3, 1
Determine s so that 28*s**2 + s - 5*s + 12*s = 0.
-2/7, 0
Let m(v) be the second derivative of -v**6/30 + v**5/5 - v**4/4 - 2*v**3/3 + 2*v**2 + 22*v. Find h, given that m(h) = 0.
-1, 1, 2
Suppose -2*v + 5*a = 5, -4*v + 16*a - 18*a + 2 = 0. Factor v*j**2 + 0 - 2/17*j**3 + 0*j - 2/17*j**4.
-2*j**3*(j + 1)/17
Let n(t) be the first derivative of -t**5/20 - t**4/16 + 3*t**3/8 - t**2/4 - t + 5. Let y(p) be the first derivative of n(p). Factor y(a).
-(a - 1)*(a + 2)*(4*a - 1)/4
Suppose 20*w**3 - 21*w**3 - 13*w + 3 - 8*w**2 - 9 = 0. Calculate w.
-6, -1
Factor 3*f**4 + 2*f**4 - 211 + 201 - 15*f**2 + 25*f - 5*f**3.
5*(f - 1)**3*(f + 2)
Factor 0*z - 2/9*z**2 + 0.
-2*z**2/9
Let r(b) be the second derivative of -b + 0 - 1/6*b**4 + 0*b**2 + 1/3*b**3. Factor r(c).
-2*c*(c - 1)
Let f(t) be the first derivative of -t**4/26 - 24*t**3/13 - 432*t**2/13 - 3456*t/13 - 45. Determine a, given that f(a) = 0.
-12
Let n = -355/4 - -89. Factor 1/4*c**2 + 1/2*c + n.
(c + 1)**2/4
Let k(z) = -z + 11. Let d be k(9). Suppose 11 = 3*l + d. Let 2*t**3 + 2*t + 1/2*t**4 + 1/2 + l*t**2 = 0. Calculate t.
-1
Determine w so that -2800*w**3 + 8*w + 2816*w**3 + 2*w**4 + 2*w**4 + 20*w**2 = 0.
-2, -1, 0
Let g(d) = d**4 - 11*d**3 - 19*d**2 - 11*d - 4. Let v(j) = -2*j**4 + 28*j**3 + 48*j**2 + 28*j + 10. Let i(p) = -12*g(p) - 5*v(p). Factor i(b).
-2*(b + 1)**4
Let n(q) be the first derivative of -2*q**7/105 + q**5/15 + 7*q**2/2 - 6. Let u(j) be the second derivative of n(j). Find d such that u(d) = 0.
-1, 0, 1
Let v be 9/4 + 1/(-4). Suppose 5*c = v*c + 12. Factor 4*z**3 + 2*z - 2*z**3 - c*z.
2*z*(z - 1)*(z + 1)
Factor -3/5*c**2 + 2/5*c**3 + 1/5*c**4 + 4/5 - 4/5*c.
(c - 1)**2*(c + 2)**2/5
Let o = -393 + 393. Factor o + 1/5*q**4 - 1/5*q**5 + 0*q**3 + 0*q**2 + 0*q.
-q**4*(q - 1)/5
Let j = 457 + -32903/72. Let o(q) be the third derivative of -3*q**2 + 1/90*q**7 + 0 + j*q**6 + 0*q**4 + 0*q**3 + 1/336*q**8 + 1/180*q**5 + 0*q. Factor o(u).
u**2*(u + 1)**2*(3*u + 1)/3
Let g be ((-21)/49)/(4/14). Let t = -1 - g. Find u, given that 0 + 1/2*u + t*u**3 + u**2 = 0.
-1, 0
Let p be (10/3)/5*12/16. Suppose -3/4*g**4 + 0 + 1/4*g**2 + g**3 - p*g = 0. What is g?
-2/3, 0, 1
Let d be 0 - (-275)/(-70) - -4. Let g(l) be the first derivative of 2/7*l - 1 - 3/7*l**2 + 2/7*l**3 - d*l**4. Suppose g(v) = 0. Calculate v.
1
Let z = -75 + 379/5. Suppose 0 = 2*j - 0 - 4. Factor 14/5*p + 8/5*p**j - z.
2*(p + 2)*(4*p - 1)/5
Suppose -5*f - 2 = 8. Let c be 1 + 2 - f - -2. Factor -l**4 + 6*l**3 - 2*l - c*l - l**4 + l.
-2*l*(l - 2)**2*(l + 1)
Let t = -59/3 - -20. Let b(y) be the third derivative of 1/210*y**7 - 1/8*y**4 + 0 - t*y**3 + 1/40*y**6 + 1/60*y**5 + 2*y**2 + 0*y. Factor b(j).
(j - 1)*(j + 1)**2*(j + 2)
Let m = 721/129 - 11/43. Determine v so that -56/3*v - m - 49/3*v**2 = 0.
-4/7
Let p(g) be the second derivative of g**7/168 - g**5/40 + g**3/24 + g. Solve p(j) = 0.
-1, 0, 1
Let a(y) be the third derivative of -y**10/201600 + y**9/40320 - y**7/3360 + y**6/960 - y**5/12 + 5*y**2. Let w(l) be the third derivative of a(l). Factor w(c).
-3*(c - 1)**3*(c + 1)/4
What is s in 2*s**5 + 4*s**2 - s**4 + 5*s**4 + 8*s**4 - 4*s**4 + 10*s**3 = 0?
-2, -1, 0
Suppose 5*v = 2*v + 6. Let i be 3/(-12)*(3 - 9). Factor 1/2 + 3/2*a + 1/2*a**3 + i*a**v.
(a + 1)**3/2
Suppose 4*d = 0, 0 = -2*y + 5*y - 5*d. Let p be (3/18)/(1/3). Factor 0*b**3 + y*b**2 - 1/2*b**5 + 0 + p*b**4 + 0*b.
-b**4*(b - 1)/2
Let l(a) be the first derivative of -a**5/30 + 5*a**4/24 - a**3/2 + 7*a**2/12 - a/3 - 24. Factor l(y).
-(y - 2)*(y - 1)**3/6
Let x(l) be the second derivative of -l**8/168 + l**7/105 + l**6/60 - l**5/30 - l**2 - 2*l. Let b(o) be the first derivative of x(o). Let b(u) = 0. What is u?
-1, 0, 1
Let q(h) be the third derivative of h**5/150 + h**4/30 + h**3/15 + 9*h**2. Determine g, given that q(g) = 0.
-1
Let z(i) be the second derivative of 1/6*i**3 + 0*i**2 - 1/10*i**5 - 1/12*i**4 - 3*i + 0. Factor z(r).
-r*(r + 1)*(2*r - 1)
Suppose -2*t + 4*q + 8 = -3*t, 2*q = -2*t - 10. Let p be ((-4)/t - 0) + 1. Determine u, given that 1/4*u**p + 0*u - 1/4*u**3 + 0 = 0.
0, 1
Let d(o) = 2*o**2 - 15*o - 8. Let f be d(8). Let x(k) be the third derivative of 0*k + 0 + f*k**3 + 1/48*k**4 - 2*k**2 + 1/120*k**5. Let x(r) = 0. What is r?
-1, 0
Let v(n) be the third derivative of n**5/15 + n**4/12 - n**3/3 + 2*n**2. Determine d so that v(d) = 0.
-1, 1/2
Let u(d) be the third derivative of -d**9/151200 + d**7/12600 - d**5/60 - 2*d**2. Let n(j) be the third derivative of u(j). Factor n(w).
-2*w*(w - 1)*(w + 1)/5
Let y(p) be the third derivative of p**6/180 + p**5/30 - 2*p**3/3 - 7*p**2. Let z(n) be the first derivative of y(n). Find d, given that z(d) = 0.
-2, 0
Suppose 0*x = -5*x + 4*d + 14, -2*x = -4*d - 8. What is z in -x*z**4 + z**3 + 1 - 1 = 0?
0, 1/2
Let p = -93 + 93. Let m(n) be the third derivative of 0 + p*n**3 + 4*n**2 + 1/90*n**5 - 1/36*n**4 + 0*n. Factor m(g).
2*g*(g - 1)/3
Let h(l) be the second derivative of 0 + 1/6*l**3 + 1/4*l**2 + 3*l + 1/24*l**4. Factor h(n).
(n + 1)**2/2
Let s(g) = -g**3 + 4*g**2 + 4*g + 2. Let m be s(5). Let z = m - -7. Factor -2*a**2 + z*a**2 - a - 3*a**2.
-a*(a + 1)
Suppose -2*y = -5*j + 1 + 14, 0 = j - 2*y - 3. Let 0 + 3/5*u**2 + 3/5*u**j + 0*u = 0. Calculate u.
-1, 0
Let y = 30/17 + -40/119. Factor -2/7 - 8/7*t**2 + y*t.
-2*(t - 1)*(4*t - 1)/7
Let z(d) be the first derivative of 3*d**4/4 - d**3 - 3*d**2/2 + 3*d + 24. Factor z(h).
3*(h - 1)**2*(h + 1)
Let c be (-1)/(-6)*(-18)/30*-5. Suppose 0 + 7/4*s**5 + c*s**2 + 3/4*s**3 + 0*s - 3*s**4 = 0. What is s?
-2/7, 0, 1
Let w(t) be the first derivative of 2 + 3/5*t**2 - 3/5*t - 1/5*t**3. Solve w(o) = 0 for o.
1
Let y be 1/(-5) - ((-428)/40 - -10). Factor -y*v + 0*v**3 - 1/4*v**4 + 3/4*v**2 + 0.
-v*(v - 1)**2*(v + 2)/4
Let v(o) be the third derivative of -o**8/336 - o**7/210 + o**6/120 + o**5/60 - 8*o**2. Determine j so that v(j) = 0.
-1, 0, 1
Let l(n) be the second derivative of 1/15*n**6 + 0 + 8*n + 3/10*n**5 + 0*n**2 - 5/6*n**4 + 2/3*n**3 - 1/21*n**7. Let l(k) = 0. What is k?
-2, 0, 1
Let h be -18 + (-4 - -2) + -1. Let l = -13 - h. Factor -3*g + 7 + 3*g - l + g**2.
(g - 1)*(g + 1)
Suppose -v = v + 4*x, -x = -5*v. Let u(s) be the second derivative of -s + 