) be the third derivative of -1/240*h**5 - 1/24*h**4 - 1/6*h**3 + 0 - 8*h**2 + 0*h. Factor o(q).
-(q + 2)**2/4
Let k = 75 - 71. Factor -21 - 22*f**3 - 34 + 50*f - 5*f**k + 60*f**2 - 28*f**3.
-5*(f - 1)**2*(f + 1)*(f + 11)
Let p(m) be the second derivative of m**5/130 + 11*m**4/39 + 41*m**3/39 + 20*m**2/13 + 4*m - 23. Factor p(t).
2*(t + 1)**2*(t + 20)/13
Suppose 42*m - 2*m + 2*m**4 + 121*m**3 + 36*m**2 + 16 - 107*m**3 = 0. What is m?
-2, -1
Let l(k) be the third derivative of k**6/225 + 209*k**5/450 + 689*k**4/45 + 676*k**3/45 - 5*k**2 - 5*k. Solve l(f) = 0 for f.
-26, -1/4
Let i(x) = 34*x - 5098. Let t be i(150). Determine j, given that -16/5 + 12/5*j - 2/5*j**t = 0.
2, 4
Let g be (13 + 5160/(-396))*((0 - -3) + -9). Factor g*j**2 + 2/11*j + 0.
2*j*(j + 1)/11
Let g(j) be the third derivative of j**6/30 - j**5/3 - j**4 - 14*j**2 + 1. Factor g(z).
4*z*(z - 6)*(z + 1)
Let r(q) = q + 1. Let g(w) = 15*w**3 - 6*w**2 + 6*w + 6. Let h = -12 - -21. Suppose 4*l = -a - 17, h = -5*a - l - 0*l. Let y(s) = a*g(s) + 6*r(s). Factor y(d).
-3*d**2*(5*d - 2)
Suppose 4*p = 3*v + 26, -10*p - 24 = 3*v - 13*p. Let l be (-136)/2160*v + (-4)/(-18). Find f, given that 6/5 + 3/5*f**3 - 6/5*f**2 - l*f = 0.
-1, 1, 2
Let b(l) be the third derivative of 49*l**6/40 + 1099*l**5/20 - 80*l**4 + 46*l**3 + l**2 + 87*l. Factor b(z).
3*(z + 23)*(7*z - 2)**2
Let z(m) = -5*m**4 - 25*m**3 - 15*m**2 + 10. Let g(j) = j**3 - j**2 - 2. Let w(q) = 5*g(q) + z(q). Determine v so that w(v) = 0.
-2, 0
Let z(h) be the first derivative of -5*h**3/3 - 10*h**2 + 105*h + 371. Determine x, given that z(x) = 0.
-7, 3
Let j be 3/(12/28) - 1. Suppose -j = -2*l - l. Factor -l*y**2 + 50 - y**2 - 38.
-3*(y - 2)*(y + 2)
Suppose 0*g - 1024 = -4*g. Let x be 22/(-88)*g/(-10). Factor -16/5*k + 2/5*k**2 + x.
2*(k - 4)**2/5
Factor 4/9*h**2 - 944/9*h + 55696/9.
4*(h - 118)**2/9
Let b(n) be the second derivative of -n**6/5 + 17*n**5/10 + 16*n**4/3 - 28*n**3/3 + 9*n + 2. Factor b(g).
-2*g*(g - 7)*(g + 2)*(3*g - 2)
Let y = -27/1591 - -12971/14319. Factor 8/9*w**3 + 0*w**2 + 0*w + 0 + y*w**4 - 2/3*w**5.
-2*w**3*(w - 2)*(3*w + 2)/9
Let g(h) be the third derivative of 1/945*h**7 - 1/108*h**4 - 8*h**2 + 0*h + 0 + 1/90*h**5 - 1/180*h**6 + 0*h**3. Factor g(y).
2*y*(y - 1)**3/9
Let d(w) = -w**3 - 11*w**2 - 22*w + 19. Let o(t) = 2*t + 30. Let r be o(-19). Let l be d(r). Let -2/11*a - 2/11*a**l + 0 + 4/11*a**2 = 0. Calculate a.
0, 1
Let l(x) be the first derivative of x**6/2 - 3*x**5/5 - 9*x**4/2 + 4*x**3 + 12*x**2 + 100. Suppose l(a) = 0. Calculate a.
-2, -1, 0, 2
Let y = 8 - -13. Let -28*i + 18 - y + 49*i**2 + 7 = 0. Calculate i.
2/7
Let h(r) = -51*r + 51. Let d be h(1). Factor -2/3*q + q**2 + 0 + d*q**3 - 1/3*q**4.
-q*(q - 1)**2*(q + 2)/3
Let k(r) = 13*r - 63. Let y be k(5). Let q be (-4)/(-6) + (-1)/6. Determine p so that 0 - 1/2*p - q*p**3 + p**y = 0.
0, 1
Let b = -957 - -960. Let f(o) be the third derivative of 0*o**4 + 0 - 7*o**2 - 1/140*o**7 + 1/672*o**8 + 1/80*o**6 + 0*o**b + 0*o - 1/120*o**5. Factor f(j).
j**2*(j - 1)**3/2
Suppose 352 = -f + 5*f. Let n = f - 527/6. What is z in n*z**5 - 1/6*z + 0 + 1/3*z**2 - 1/3*z**4 + 0*z**3 = 0?
-1, 0, 1
Suppose -9/2*u + 3 - 5/6*u**2 = 0. Calculate u.
-6, 3/5
Let s = 138 - 141. Let z be (-4)/(-12) - s/(-9). Let 0*j**2 + z*j + 0 + 1/5*j**5 - 2/5*j**4 + 1/5*j**3 = 0. What is j?
0, 1
Let a(w) be the second derivative of -w**7/4410 + w**6/1260 + w**5/105 + 2*w**4/3 - 2*w. Let u(s) be the third derivative of a(s). Factor u(k).
-4*(k - 2)*(k + 1)/7
Suppose 15 = -3*v, -3*v = 4*m - 0*v + 7. Factor 10*g + m + 44*g**2 - 36*g**2 + 0.
2*(g + 1)*(4*g + 1)
Let p = -344 - -3100/9. Let u(b) be the first derivative of -3 + 2/27*b**3 + p*b - 1/3*b**2. Factor u(h).
2*(h - 2)*(h - 1)/9
Let u(x) be the third derivative of -x**6/200 + 27*x**5/10 - 3645*x**4/8 + 243*x**2 + 2*x. Factor u(b).
-3*b*(b - 135)**2/5
Let t be (4 - 0) + 0 + -4. Let d(u) be the first derivative of 0*u**2 + 11/12*u**4 - 2/9*u**3 - 4 - 16/15*u**5 + t*u + 7/18*u**6. Factor d(b).
b**2*(b - 1)**2*(7*b - 2)/3
What is d in 241 - 185 - d**2 + 76*d - 11*d**2 = 0?
-2/3, 7
Let z be ((-48)/(-3))/((-702)/(-27)). Suppose 6/13 - z*w + 2/13*w**2 = 0. Calculate w.
1, 3
Let p(f) be the first derivative of -f**4 + 140*f**3/3 - 704*f**2 + 3072*f + 275. Factor p(r).
-4*(r - 16)**2*(r - 3)
Factor 36 + 676*z**2 - 678*z**2 - 5*z + 39*z.
-2*(z - 18)*(z + 1)
What is v in -24/5 + 22/5*v**2 + 4*v + 1/5*v**5 - 21/5*v**3 + 2/5*v**4 = 0?
-6, -1, 1, 2
Let f(v) be the third derivative of v**5/20 + 25*v**4/4 + 625*v**3/2 - 80*v**2. Find y, given that f(y) = 0.
-25
Suppose 33 = -2*v - 5*u, 2*v + 18 = -u + 5. Let s be 336/(-198)*(-6)/v - -4. Solve -50*g**3 + s*g + 8/11 - 250/11*g**5 - 142/11*g**2 - 650/11*g**4 = 0.
-1, -2/5, 1/5
Let r(y) be the third derivative of -y**5/30 + 121*y**4/3 - 58564*y**3/3 + 138*y**2 + 3. Factor r(q).
-2*(q - 242)**2
Determine k so that 0 + 1/10*k**5 + 1/10*k**2 - 7/10*k**3 + 3/5*k - 1/10*k**4 = 0.
-2, -1, 0, 1, 3
Factor -2/15*z**2 - 374/15 + 376/15*z.
-2*(z - 187)*(z - 1)/15
Factor -9/2*g + 2 + g**2.
(g - 4)*(2*g - 1)/2
Let d(n) be the third derivative of -n**5/120 + 3*n**4/16 - 2*n**3/3 + 58*n**2. Find x such that d(x) = 0.
1, 8
Let g(t) = 12*t - 70. Let m be g(6). Let -5 - 12*z**m + 6*z**4 - 11*z**5 - 9*z**3 + 5 + 12*z + 14*z**5 = 0. What is z?
-2, 0, 1
Let g(o) = -3*o**2 - 3*o + 10. Let q be g(-2). Let f(v) be the third derivative of v**2 + 0*v**3 + 0*v + 0*v**q + 1/120*v**6 + 0 - 1/60*v**5. Factor f(n).
n**2*(n - 1)
Find o such that 3 + 45*o**4 - 48*o**2 - 9/2*o - 33*o**3 + 75/2*o**5 = 0.
-1, -2/5, 1/5, 1
Let w = 70/31 - 4039/155. Let v = w - -24. What is u in -2/5*u + 1/5 + 0*u**2 + 2/5*u**3 - v*u**4 = 0?
-1, 1
Let c be 7/1 + -4 + 6 + -1. Solve -c + 3*t + 0 - t + 8*t - 2*t**2 = 0 for t.
1, 4
Let w(m) be the first derivative of -m**3/5 + 102*m**2/5 - 3468*m/5 - 818. Suppose w(g) = 0. What is g?
34
Let x(r) be the third derivative of 1/350*r**7 + 0*r**3 - 33*r**2 - 1/100*r**6 + 0*r + 3/20*r**4 + 0 - 1/20*r**5. Factor x(d).
3*d*(d - 3)*(d - 1)*(d + 2)/5
Let x(d) = -d**3 - 20*d**2 - 56*d - 80. Let m be x(-17). Let t(a) be the first derivative of -9/20*a**4 + 3/25*a**5 + 0*a + 0*a**2 - m + 2/5*a**3. Factor t(s).
3*s**2*(s - 2)*(s - 1)/5
Let w(x) = -5*x**3 + 2*x + 1. Let s be w(-1). Determine v, given that -50*v - 8*v**3 + 13*v**2 - 20*v**s + 58*v + 7*v**2 = 0.
-1, -2/5, 0, 1
Let z(f) be the third derivative of 5*f**2 + 0 + 0*f + 1/3*f**3 + 1/60*f**5 + 1/72*f**6 + 1/120*f**4. Let g(q) be the first derivative of z(q). Factor g(o).
(5*o + 1)**2/5
Let b = 31 - 16. Factor -3*a**2 + 1 - 9 + a**3 - b*a + 2*a**3 - 1.
3*(a - 3)*(a + 1)**2
Let n be 3 - 7/(7/8). Let v = n - -5. Factor 24 + v*a**3 + 3*a - 3*a**3 + 6*a**2 - 30.
-3*(a - 2)*(a - 1)*(a + 1)
Let v(d) be the second derivative of d**5/5 - 10*d**4/3 + 64*d**3/3 - 64*d**2 + 10*d - 4. Solve v(q) = 0.
2, 4
Let n = -3 + 3. Suppose -4*p = -n*p - 20. Solve 3*w**2 - p*w**2 + w**2 + 6*w - 9 = 0.
3
Let h(o) = 30*o**2 - 3264*o - 221980. Let q(l) = 11*l**2 - 1088*l - 73994. Let y(z) = 5*h(z) - 14*q(z). Suppose y(v) = 0. What is v?
-136
Suppose -t + 2*u - 2 = -3*t, -5*t + 1 = u. Factor 0*b**2 - 4*b**2 + 7*b**2 + t*b**2 - b**3.
-b**2*(b - 3)
Suppose 3*k + 12*k - k - 112 = 0. Factor 2 + 7/2*d**2 - k*d.
(d - 2)*(7*d - 2)/2
Let f(l) be the third derivative of l**10/453600 - l**9/90720 + l**8/60480 - 9*l**5/20 - 41*l**2. Let o(n) be the third derivative of f(n). Factor o(g).
g**2*(g - 1)**2/3
Let f = 2/1497 + 493/4491. Let y(x) be the first derivative of 0*x + 1/24*x**4 + 10 - 1/4*x**2 - f*x**3. Factor y(s).
s*(s - 3)*(s + 1)/6
Let l(i) be the third derivative of -i**6/1020 - i**5/170 + 5*i**4/102 + 226*i**2. Solve l(j) = 0.
-5, 0, 2
Let i be (-9)/21*161/(-276). Factor 5/4*o**3 + 3/2*o**2 + i*o**4 + 0*o + 0.
o**2*(o + 2)*(o + 3)/4
Suppose 0 = 7*u - 9 - 5. Factor 32*q + 14*q - 6*q**u + q**2 - 180 + 14*q.
-5*(q - 6)**2
Let t = 4439 + -4439. Find d, given that 0*d + 3/7*d**2 + 6/7*d**3 + 3/7*d**4 + t = 0.
-1, 0
Let j = 348/119 - 40/17. Solve -2/7*z + j*z**2 + 0 - 2/7*z**3 = 0 for z.
0, 1
Let d be (-6)/4*20/(-15)*1. Suppose -4*r = -5*s + 5, -13*s + 11*s + d*r = 0. Let -75/2*h**s + 345/4*h**4 - 147/2*h**2 + 21/4*h**3 + 39*h - 6 = 0. What is h?
-1, 2/5, 1/2, 2
Let r(s) be the second derivative of -s**3/2