2/9, 5
Let m = 45/26 - 173/130. Factor -3/5 - q - m*q**2.
-(q + 1)*(2*q + 3)/5
Let c(b) = b**2 - 3*b + 11. Let d = 100 + -56. Let l(h) = 1. Let m(n) = d*l(n) - 4*c(n). Factor m(u).
-4*u*(u - 3)
Let z(g) = g**2 - 4*g + 9. Let t(c) = 4*c**2 - 15*c + 36. Suppose 2*h + 2*h + 4 = -2*r, -3*r + 4 = h. Let f(d) = r*t(d) - 9*z(d). Factor f(i).
-(i - 3)**2
Let n = 12865/13 + -989. Let r = 896/247 - 66/19. Determine s so that r*s**2 + 8/13*s + n = 0.
-2
Let i = -25 - -25. Let d be (9 - 26/2)/(-1 + -5). Determine u, given that -d*u**3 + 4/3*u**2 - 2/3*u + i = 0.
0, 1
Let r(h) be the second derivative of h**4/12 - h**3/3 - 12*h**2 + 102*h - 1. Factor r(a).
(a - 6)*(a + 4)
Let c = 23/28 + -13/84. Let 0*f + c*f**3 + 0 + 1/3*f**2 + 1/3*f**4 = 0. Calculate f.
-1, 0
Let j(m) be the first derivative of -14*m**3/3 - 61*m**2 + 36*m + 81. Find u such that j(u) = 0.
-9, 2/7
Suppose -2233 = 4*a - 15*a. Factor -a*k**2 + 223*k**2 + 30 + 29*k + 26*k - 5*k**3.
-5*(k - 6)*(k + 1)**2
Let g = 362 - 360. Let h(v) be the second derivative of 1/7*v**3 + 0 - v + 9/7*v**g + 1/70*v**5 - 5/42*v**4. Factor h(k).
2*(k - 3)**2*(k + 1)/7
Let k be 42/55 + 88/(-220). Let u be ((-1)/2)/((-1)/6). Find s, given that -k - 8/11*s**2 - 10/11*s - 2/11*s**u = 0.
-2, -1
Let c(i) be the second derivative of 12*i + 0*i**2 - 1/6*i**3 - 1/3*i**4 + 0 - 1/15*i**6 - 1/4*i**5. Suppose c(w) = 0. What is w?
-1, -1/2, 0
Let m(q) be the third derivative of q**9/7560 - q**7/1260 + 9*q**4/8 - 20*q**2. Let t(z) be the second derivative of m(z). Factor t(o).
2*o**2*(o - 1)*(o + 1)
Let h(c) = -30*c**3 - c**4 + 3 - 24*c**2 + 78*c**2 + 14 + 4 - 50*c. Let r(m) = -30*m**3 + 55*m**2 - 50*m + 20. Let q(y) = -5*h(y) + 6*r(y). Factor q(j).
5*(j - 3)*(j - 1)**3
Let v(u) = u**3 - 8*u**2 + 7*u + 3. Let k be v(7). Let x be (-9)/(-2)*2/k. Let -m**2 + 3*m**3 - 2*m**2 + m**4 + 0*m**x + 2*m**4 - 3*m**5 = 0. Calculate m.
-1, 0, 1
Suppose -5/6*u + 1 - 1/6*u**2 = 0. What is u?
-6, 1
Let w be (-1242)/(-45)*(-15)/(-8). Let s(f) be the first derivative of 0*f - 42*f**5 - 25/2*f**6 - 28*f**3 - 1 - 6*f**2 - w*f**4. Factor s(k).
-3*k*(k + 1)**2*(5*k + 2)**2
Factor 4/5*d**2 + 96 - 248/5*d.
4*(d - 60)*(d - 2)/5
Let l(w) be the second derivative of -23*w + 0*w**3 + 0*w**4 + 0*w**2 + 9/140*w**5 - 1/70*w**6 + 0. Factor l(z).
-3*z**3*(z - 3)/7
Let s = -949 - -85411/90. Let t(x) be the third derivative of -s*x**5 + 0*x - 1/9*x**3 + 1/18*x**4 + 2*x**2 + 0. Let t(p) = 0. Calculate p.
1
Let y = 1/23507 + 1245841/705210. Let t = y + -1/6. Let -4/5*w + 0 - 26/5*w**3 + 22/5*w**2 + t*w**4 = 0. What is w?
0, 1/4, 1, 2
Let l(i) be the second derivative of -i + 0*i**2 + 1/10*i**5 + 2/3*i**3 + 0 - 1/2*i**4. Factor l(w).
2*w*(w - 2)*(w - 1)
Let a be 2 - (128/(-18))/(-4). Suppose -67*g + 17*g = 37*g. Factor g*m - a*m**2 + 2/9.
-2*(m - 1)*(m + 1)/9
Let d(t) = -8*t**3 - 22*t**2 + 6. Let v(a) = -a**3 + 1. Let g(s) = d(s) - 6*v(s). Solve g(m) = 0 for m.
-11, 0
Factor -33/4*a**2 - 255/4*a + 289/4 - 1/4*a**3.
-(a - 1)*(a + 17)**2/4
Let f = -44 + 46. Factor 4*u**4 + 3*u**2 - 5*u**2 + 12*u - 4 + 6*u**f - 4 - 12*u**3.
4*(u - 2)*(u - 1)**2*(u + 1)
Let x = -32 + 162/5. Factor -x*d**2 - 8/5*d - 8/5.
-2*(d + 2)**2/5
Let v(y) = -3*y**2 - 77*y. Let n(x) = x**2 + 34*x. Let w(m) = -7*n(m) - 4*v(m). Solve w(q) = 0 for q.
-14, 0
Let v(s) be the first derivative of 19 - 30*s - 2/5*s**3 + 6*s**2. Let v(y) = 0. Calculate y.
5
Let k(t) = 2*t**2 - t - 3. Let x be k(2). Let c(n) be the first derivative of 0*n + 0*n**4 + 0*n**2 + 2 - 1/6*n**x + 1/10*n**5. Let c(v) = 0. Calculate v.
-1, 0, 1
Let i(w) be the second derivative of 58/9*w**3 + 4/15*w**5 - 7/3*w**4 + 0 - 4*w**2 - 35*w. Determine r, given that i(r) = 0.
1/4, 2, 3
Let q(p) be the third derivative of 0*p - 1/12*p**4 - 4*p**2 + 1/480*p**5 + 0 + 5/12*p**3 + 1/960*p**6. Solve q(o) = 0 for o.
-5, 2
Let b = -1 + 1. Suppose 3*g + g - 16 = b. Solve -3*j**4 - 24*j**5 - 33*j**3 + 3*j + 33*j**4 + 9*j**4 + 15*j**g = 0 for j.
-1/4, 0, 1/2, 1
Let s be (-15)/(-90) + 7/6. Let x(k) be the first derivative of -2 + 0*k - s*k**3 - k**2 - 1/2*k**4. Factor x(y).
-2*y*(y + 1)**2
Let y(i) = -10*i + 12 + 24*i**2 - 12*i**2 - 11*i**2. Let w be y(9). Let -7*x**2 + 2*x**w + 5*x**2 + 0*x**3 = 0. Calculate x.
0, 1
Let i(s) be the first derivative of s**5/30 + 2*s**4/3 + 16*s**3/3 - 5*s**2/2 - 6. Let j(r) be the second derivative of i(r). Find t such that j(t) = 0.
-4
Suppose i = 4*m - 169, 0*m + 36 = m + i. Suppose 2*s = 10, m = 4*b - 3*s - 104. Solve -2*w**2 + 46*w - w**2 + 39*w**4 - b*w - 15*w**5 - 27*w**3 = 0.
-2/5, 0, 1
Let u(b) be the first derivative of -b**4/26 - 6*b**3/13 + 21*b**2/13 - 22*b/13 - 174. Find t, given that u(t) = 0.
-11, 1
Let f(y) = y**3 - 18*y**2 + 31*y + 19. Let g be f(16). Solve 1/6*a + 0 - 2/3*a**g - 1/2*a**2 = 0 for a.
-1, 0, 1/4
Let t = -127/3 - -638/15. Let 1/5*z**3 + 0*z + 0 + t*z**2 = 0. Calculate z.
-1, 0
Let f(j) be the second derivative of j**9/3780 - j**7/1050 + 5*j**3/6 - 4*j. Let t(l) be the second derivative of f(l). Solve t(m) = 0.
-1, 0, 1
Let i(d) be the second derivative of -d**7/294 + d**6/70 - 3*d**5/140 + d**4/84 - 3*d - 1. Solve i(w) = 0.
0, 1
Let b(r) be the second derivative of r**6/180 - r**5/20 + 11*r**4/72 - r**3/6 + 80*r + 1. Factor b(m).
m*(m - 3)*(m - 2)*(m - 1)/6
Let m be 63 - (-3 + 2 + -2). Let y = 121 - m. Factor g**3 + y*g + 2*g - 40 + 4*g**3 + 3*g - 30*g**2.
5*(g - 2)**3
Suppose 5173 + 9*k + 133*k - 10216 + 104*k - 3*k**2 = 0. What is k?
41
Let a(s) be the third derivative of -s**5/30 - 11*s**4/6 + 104*s**3/3 - 3*s**2 - s. Factor a(o).
-2*(o - 4)*(o + 26)
Suppose 0 = 6*o - 4*o - 34. Factor 11*n**4 + n**2 - 44*n - o*n**3 + 46*n + 3*n**4.
n*(n - 1)*(2*n - 1)*(7*n + 2)
Let i = 1860 + -1860. Let f(y) be the third derivative of i*y**3 - 1/75*y**5 + 0*y**7 + 2*y**2 + 0 + 1/840*y**8 + 0*y**4 + 0*y - 1/100*y**6. Factor f(l).
2*l**2*(l - 2)*(l + 1)**2/5
Solve -544/11*v**3 + 1832/11*v**2 - 2/11*v**5 - 2496/11*v + 58/11*v**4 + 1152/11 = 0.
1, 2, 12
Let h(b) be the second derivative of -12*b + 4/21*b**4 - 1/35*b**5 - 2/7*b**3 + 0 + 0*b**2. Factor h(m).
-4*m*(m - 3)*(m - 1)/7
Let g be (0/2)/(-32 + 33). Let v(t) be the third derivative of 1/54*t**4 + 0*t - 2*t**2 + g + 1/270*t**5 + 1/27*t**3. Factor v(y).
2*(y + 1)**2/9
Let k = -275 - -465. Find i such that 19*i**2 + 69 - k - 22*i - 20*i**2 = 0.
-11
Factor 59*z**2 + 3*z**3 - 99*z + 11*z**2 - 46*z**2.
3*z*(z - 3)*(z + 11)
Let g(a) be the first derivative of 4*a**5/35 - 25*a**4/14 + 8*a**3/7 + 403. Let g(n) = 0. Calculate n.
0, 1/2, 12
Let z(g) = 10*g**4 + 16*g**3 - 30*g**2 - 3*g + 22. Let a(m) = -5*m**4 - 9*m**3 + 15*m**2 + 2*m - 12. Let p(u) = 5*a(u) + 3*z(u). Suppose p(b) = 0. What is b?
-2, -3/5, 1
Let a be 16 + ((-3344)/110 - -15). Find x such that 3/5*x**2 - a*x + 0 = 0.
0, 1
Let u be (7 - -17)*(194/(-198) - -1). Let q = 1/66 + u. Determine c, given that -3/2*c + 2 - q*c**2 = 0.
-4, 1
Let y(p) = p + 2. Let x be y(0). Suppose 20*z = 45 + 35. Factor -7*i**2 - 8*i**3 - i**z - 8*i**2 - 9 - 24*i - 7*i**x.
-(i + 1)**2*(i + 3)**2
What is d in 171/4*d + 3/4*d**2 + 165/2 = 0?
-55, -2
Solve 28*o + 37*o - 66*o + 3*o**2 - 3 + o**3 = 0 for o.
-3, -1, 1
Let w(c) be the first derivative of c**4/8 + 5*c**3/6 - c**2/4 - 5*c/2 - 54. Let w(q) = 0. What is q?
-5, -1, 1
Let m(l) be the third derivative of -2*l**7/525 + 13*l**6/75 - 520*l**2. What is u in m(u) = 0?
0, 26
Suppose -353*f + 355*f + 2*u = 18, 0 = 5*u - 35. Suppose -1024/5 - 48/5*z**f + 384/5*z + 2/5*z**3 = 0. What is z?
8
Let b(v) be the third derivative of v**7/2100 - v**6/450 + 9*v**3/2 - v**2. Let c(q) be the first derivative of b(q). Solve c(j) = 0 for j.
0, 2
Let u(q) be the third derivative of -q**7/630 - 7*q**6/360 + q**5/15 + 22*q**4/9 + 160*q**3/9 + 238*q**2 + 2*q. Solve u(g) = 0 for g.
-4, 5
Let l be 3*-6*(-3)/27. Suppose 0 = y - 2*q + 5, y - q - l*q = -9. Determine w so that 11*w - w**2 + w**4 - 5*w - 5*w - w**y = 0.
-1, 0, 1
Let r(n) = -n - 8. Let q be r(-8). Find b such that 239 + b**3 - 239 + q*b - b = 0.
-1, 0, 1
Let k(t) be the second derivative of -4/3*t**2 + 0 - 1/18*t**4 - 12*t + 4/9*t**3. Factor k(n).
-2*(n - 2)**2/3
Let t(z) = 4*z**2 - 63*z - 635. Let i be t(-7). Suppose 0 - 10/7*q**5 + 0*q - i*q**4 - 4/7*q**3 + 0*q**2 = 0. Calculate q.
-1, -2/5, 0
Let q be (585/24 - (-9)/(-24))*8/114. F