 that 2/9*o**a - 4/9 - 2/9*o = 0.
-1, 2
Let m(l) be the third derivative of 1/40*l**6 - 1/112*l**8 - 1/70*l**7 - 19*l**2 + 1/20*l**5 + 0*l + 0*l**3 + 0*l**4 + 0. Let m(x) = 0. What is x?
-1, 0, 1
Let -3/2 - 5/2*n**2 - 1/2*n**3 - 7/2*n = 0. What is n?
-3, -1
Factor 3/4*v**5 + 3/2*v**3 + 3/4 + 3/2*v**2 - 9/4*v - 9/4*v**4.
3*(v - 1)**4*(v + 1)/4
Suppose -47 - 25*c**2 - 31 - 35*c**3 + 220*c + 16 + 2 = 0. Calculate c.
-3, 2/7, 2
Factor -23898*l**2 + 2*l**3 + 20 + 24005*l**2 - 17*l**3 - 164*l.
-(l - 5)*(l - 2)*(15*l - 2)
Let b = 15452/13923 + 2/1547. Find w, given that 14/9*w**3 + 2/9*w + 0 - b*w**2 - 2/3*w**4 = 0.
0, 1/3, 1
Let w(z) = z**2 + z + 1. Suppose j = 2 + 5. Let h(i) = -1 + 5*i**2 - j*i**2 + 2*i - 1 - 3*i. Let y(x) = -3*h(x) - 5*w(x). Factor y(p).
(p - 1)**2
Let g(a) be the third derivative of a**9/40320 + a**8/3360 + a**7/1120 - a**5/2 - a**2. Let x(o) be the third derivative of g(o). Factor x(z).
3*z*(z + 1)*(z + 3)/2
Let c(z) be the third derivative of 0*z**3 + 2*z**2 + 0*z + 1/264*z**4 + 0 + 1/660*z**5. Solve c(j) = 0.
-1, 0
Determine q, given that -10/3*q**2 - 7/3*q + 3*q**3 + 8/3 = 0.
-8/9, 1
Suppose -20 = 4*t, 3*y = 9*t - 13*t - 14. Let a(g) be the second derivative of 4/3*g**3 - 10*g - 1/3*g**4 + 0 - 2*g**y. Solve a(n) = 0.
1
Let z(g) be the second derivative of -4/3*g**3 + 13*g + 3/2*g**2 - 1/4*g**4 + 2/15*g**6 + 0 + 3/5*g**5. Let z(p) = 0. What is p?
-3, -1, 1/2
Let j(k) = 6*k - 46. Let y be j(8). Let f(c) be the first derivative of -2/33*c**3 - 2/11*c**y + 0*c + 2. Factor f(p).
-2*p*(p + 2)/11
Let d = 184 + -181. Let p(l) be the first derivative of 1 + 2/3*l + 1/3*l**2 - 2/9*l**d - 1/6*l**4. Factor p(y).
-2*(y - 1)*(y + 1)**2/3
Let x(s) be the third derivative of s**6/80 - 13*s**5/40 - s**2 + 28*s. Solve x(l) = 0 for l.
0, 13
Let j = 72 + -74. Let p be j/6*0/(-13). Suppose 1/4*r + 1/4*r**2 + p = 0. What is r?
-1, 0
Let w = 1129/24 + -47. Let b(l) be the second derivative of l + 1/4*l**2 + w*l**4 + 0 + 1/6*l**3. Factor b(a).
(a + 1)**2/2
Let u(y) = -5*y**4 - 35*y**3 - 91*y**2 - 88*y - 27. Let k(w) = 10*w**4 + 70*w**3 + 180*w**2 + 175*w + 55. Let b(j) = 3*k(j) + 5*u(j). Factor b(g).
5*(g + 1)**2*(g + 2)*(g + 3)
Let m(p) = 5*p + 0*p**3 - 7*p**2 + p**3 + 4*p**2 + 1 - 2. Let b be m(2). Factor 8*j**2 - 6*j - 13*j**b + 14*j**5 - j + 3 - 2*j**4 - 2*j**3 - 1.
(j - 1)**4*(j + 2)
Let i(u) be the first derivative of u**6/30 + 2*u**5/25 - u**4/10 - 4*u**3/15 + u**2/10 + 2*u/5 + 43. What is w in i(w) = 0?
-2, -1, 1
Let l(x) be the second derivative of 7/45*x**6 - 13/15*x**5 + 0 + 0*x**2 + 0*x**3 - 4/9*x**4 - 6*x. Factor l(f).
2*f**2*(f - 4)*(7*f + 2)/3
Suppose 652 - 76 = r. What is q in -r*q**3 - 40*q**4 + 15*q**5 - 6*q**2 - 4*q**2 + 611*q**3 = 0?
0, 2/3, 1
Suppose 5 = -5*k + 4*r, 3*k + 1 = -r + 15. Factor 2/5*t**2 + 1/5*t**k - 2/5 - 1/5*t.
(t - 1)*(t + 1)*(t + 2)/5
Let s(c) = -22*c**2 + 155*c - 5. Let j be s(7). Let 2/5*k**j + 4/5 - 6/5*k = 0. What is k?
1, 2
Suppose 0 = -2*t - p + 11 - 1, -3*t - 7 = -4*p. Suppose 4 = 5*w - t*w. Factor 3*z**3 + 6*z**2 - z**5 - 8*z + 10*z - z**w - z**4.
-z*(z - 2)*(z + 1)**3
Let j(z) be the third derivative of 3*z**5/80 + 5*z**4/8 + 25*z**3/6 + 3*z**2 - 37. Determine m so that j(m) = 0.
-10/3
Suppose -536/17*g - 152/17 - 14/17*g**2 = 0. What is g?
-38, -2/7
Let c = 886 - 883. Factor -1/4*w**c + 1/4*w**2 + 0 + 1/2*w.
-w*(w - 2)*(w + 1)/4
Let o(x) = x**3 - 3*x**2 + 2*x - 2. Let f be o(2). Let j be f*((-8)/(-12) - 1). What is y in 4/3 - j*y**2 + 2/3*y = 0?
-1, 2
Let j = 1427 - 15695/11. Let 0 - 2/11*i**5 - j*i**3 + 4/11*i**4 + 0*i + 0*i**2 = 0. Calculate i.
0, 1
Let o(y) = -16*y**2 + 3*y + 7. Let a(j) = 7*j**2 - j - 3. Let h(b) = -7*a(b) - 3*o(b). Determine t, given that h(t) = 0.
-2, 0
Let y(w) = 11*w**3 - 24*w**2 - 129*w. Let k(u) = -75*u**3 + 170*u**2 + 905*u. Let f(c) = -3*k(c) - 20*y(c). Solve f(s) = 0 for s.
-3, 0, 9
Let q = 248 + -245. Let g(j) be the third derivative of -1/300*j**6 - 3*j**2 + 0*j**q + 0*j**4 - 1/525*j**7 + 0*j + 0*j**5 + 0. Suppose g(o) = 0. Calculate o.
-1, 0
Let m = -95 - -99. Let w be ((-51)/(-6) - m)*(-6)/(-9). Find y such that -27/7*y**2 + 6/7 + w*y = 0.
-2/9, 1
Let t be (-2704)/56 + (-10)/14 + 1. Let o be -2*2/(-16) - 84/t. Solve 2/7*n**o + 0 - 4/7*n = 0.
0, 2
Let c(n) = n - 7. Let u be c(7). Suppose -4*x - 3 + 131 = u. Factor 19*l**2 - 13*l**2 - 8*l**3 - 22*l**2 + 4*l**4 + x*l.
4*l*(l - 2)**2*(l + 2)
Let x = 56 + -53. Determine d so that 22*d**2 - 6 + x*d**3 + 17*d**2 - 24*d**3 - 9*d - 3*d**2 = 0.
-2/7, 1
Let j(q) be the third derivative of -3/16*q**4 + 0*q + 1/16*q**5 - 1/160*q**6 + 0 + 14*q**2 + 0*q**3. Factor j(t).
-3*t*(t - 3)*(t - 2)/4
Let 0 - 4/5*x**3 + 84/5*x**2 - 152/5*x = 0. Calculate x.
0, 2, 19
Let p(u) = 7*u**2 + 2*u. Let y(d) be the third derivative of -d**5/10 - d**4/12 - 4*d**2. Let m be 14/(-3) + 12/18. Let z(k) = m*p(k) - 5*y(k). Factor z(j).
2*j*(j + 1)
Let s(w) be the first derivative of w**6/150 + w**5/25 + w**4/10 + 2*w**3/15 + w**2/10 + 7*w - 5. Let p(v) be the first derivative of s(v). Factor p(o).
(o + 1)**4/5
Let h(x) be the third derivative of 3/40*x**5 + 3/8*x**3 + 0*x + 0 + 1/4*x**4 - 1/280*x**7 + 0*x**6 + 32*x**2. Let h(w) = 0. Calculate w.
-1, 3
Let z(q) be the third derivative of q**10/529200 - q**8/23520 + q**7/8820 - 7*q**5/20 - 15*q**2. Let t(y) be the third derivative of z(y). Factor t(j).
2*j*(j - 1)**2*(j + 2)/7
Let b be ((-1)/3*(-17 + 17))/(-2). Let t(m) be the third derivative of 0 - 1/33*m**3 + 4*m**2 + b*m + 1/330*m**5 + 0*m**4. Factor t(c).
2*(c - 1)*(c + 1)/11
Factor 19*t**2 - 1 + 2*t**3 + 1 + 9*t**2.
2*t**2*(t + 14)
Let x(t) be the first derivative of 2*t**6/15 - 9*t**5/5 + 29*t**4/3 - 26*t**3 + 36*t**2 - 40*t + 43. Let l(y) be the first derivative of x(y). Factor l(d).
4*(d - 3)**2*(d - 2)*(d - 1)
Let x(c) = 4*c**4 + 7*c**3 - 3*c + 2. Let i(n) = -4*n**4 - 7*n**3 + n**2 + 4*n - 3. Let y = -14 + 10. Let r(t) = y*i(t) - 6*x(t). Factor r(o).
-2*o*(o + 1)**2*(4*o - 1)
Let q(g) = 20*g**4 + 220*g**3 + 510*g**2 - 15*g - 15. Let w(y) = -5*y**4 - 55*y**3 - 128*y**2 + 4*y + 4. Let r(b) = 4*q(b) + 15*w(b). Let r(k) = 0. What is k?
-8, -3, 0
Suppose 0 = 7*v + 71 - 85. Let s(b) be the first derivative of 10/21*b**3 - 12/7*b**v + 8/7*b - 11. Factor s(l).
2*(l - 2)*(5*l - 2)/7
Factor 2*g - 4*g + g - 10*g**2 + 7*g + 13*g**2.
3*g*(g + 2)
Suppose 95*t = 108*t. Let i(p) be the second derivative of -1/3*p**2 + 2/27*p**3 + p + 1/54*p**4 + t. Factor i(f).
2*(f - 1)*(f + 3)/9
Let j = -53 + 55. Factor -146 + 47*g + 26*g**j + 2 + g - 30*g**2.
-4*(g - 6)**2
Let s(r) = 5*r**4 - 356*r**3 + 6475*r**2 + 6845*r. Let w(i) = -65*i**4 + 4625*i**3 - 84175*i**2 - 88985*i. Let b(c) = -40*s(c) - 3*w(c). Factor b(m).
-5*m*(m - 37)**2*(m + 1)
Let t = 18721/60 - 312. Let z(b) be the third derivative of 0*b - 1/24*b**4 + 0*b**3 + t*b**5 + 1/120*b**6 - 5*b**2 - 1/210*b**7 + 0. Factor z(h).
-h*(h - 1)**2*(h + 1)
Factor -30*j - 64 - 120*j**2 + 158*j + 408*j**2 + 160*j**3 + 10*j**4 + 18*j**4.
4*(j + 2)**3*(7*j - 2)
Let n = 1016 - 1011. Factor 0*f**4 - 2/11*f**3 + 0*f**2 + 0 + 0*f + 2/11*f**n.
2*f**3*(f - 1)*(f + 1)/11
Factor -16/5*j + 0*j**3 + 6/5 - 2/5*j**4 + 12/5*j**2.
-2*(j - 1)**3*(j + 3)/5
Let j = 25/4 - 6. Let u(v) be the first derivative of -3 + 1/3*v**3 + 0*v + 1/15*v**5 + 1/6*v**2 + j*v**4. Factor u(y).
y*(y + 1)**3/3
Let j(p) be the first derivative of p**5/5 + 9*p**4/4 + 23*p**3/3 + 3*p**2/2 - 36*p + 161. Factor j(s).
(s - 1)*(s + 3)**2*(s + 4)
Let w = 21 + -19. Suppose r + w = 1, -4*s = r - 19. Factor -7*z - 15*z**3 + 7*z**4 + 13*z**2 - z**s + 0*z + 3*z.
-z*(z - 4)*(z - 1)**3
Let d(m) be the first derivative of 1/4*m**4 - 11/5*m**5 + 3*m**3 + 21 - m**6 - 2*m + 1/2*m**2. Suppose d(j) = 0. Calculate j.
-1, 1/2, 2/3
Let y be (40/2)/(-4) - 3. Let s(z) = -7*z**4 + 9*z**3 - 4*z + 2. Let c(g) = -11*g**4 + 14*g**3 - 6*g + 3. Let j(b) = y*s(b) + 5*c(b). Let j(h) = 0. Calculate h.
-1, 1
Let u = 69 - 73. Let p be 3/20 + (-1)/u. Factor -r - p + 3/5*r**2.
(r - 2)*(3*r + 1)/5
Suppose 2*t + 3*m - 20 = -m, -4*t + 40 = -2*m. Suppose t = -6*f + 22. Solve -1/5*p + 1/5*p**f + 1/5*p**3 - 1/5 = 0 for p.
-1, 1
Let p(r) = 6*r - 8. Let t be p(4). Let x = 33/2 - t. Suppose 6*f - 3*f**2 + x*f**3 - 4 = 0. What is f?
2
Let w = 103958/951 + 6/317. Let g = -109 + w. Factor -g + 2/3*c - 1/3*c**2.
