)/(-98)). Let l = w - 63. Find f, given that -4/3*f**3 - 1/3*f**2 + 1/3 + l*f = 0.
-1, -1/4, 1
Let u be (-2)/7 - 1*(-102)/14. Factor u*r - 3*r + r - r + 4*r**2 - 4*r**3 - 4.
-4*(r - 1)**2*(r + 1)
Let j(t) be the first derivative of 1/6*t + 1/30*t**5 - 1/9*t**3 + 1/12*t**2 - 1/12*t**4 + 8 + 1/36*t**6. Factor j(q).
(q - 1)**2*(q + 1)**3/6
Let j(k) be the third derivative of k**6/30 - 7*k**5/15 + 7*k**4/3 - 16*k**3/3 - 9*k**2 + 15*k. Let j(n) = 0. What is n?
1, 2, 4
Let h = 5043/7733 - 75/703. Suppose 0 + 6/11*p**3 - 12/11*p - h*p**2 = 0. Calculate p.
-1, 0, 2
Solve -45 + 4/5*k**3 - 12*k - 1/5*k**4 + 26/5*k**2 = 0.
-3, 5
Let o(f) be the second derivative of 0 + 1/135*f**6 - 1/9*f**2 + 2/27*f**3 + 0*f**4 - 1/45*f**5 - 7*f. Suppose o(j) = 0. What is j?
-1, 1
Let m(q) = -3*q**2 + 25*q + 1. Let x be m(8). Find p such that 11*p**2 + 0*p**2 - 8*p - x - 1 - 9*p**2 = 0.
-1, 5
Solve 9*j - 1166*j**4 + j**3 - 16*j**2 + 1170*j**4 + 3*j - j**5 = 0.
-2, 0, 1, 2, 3
Let g = 100 + -97. Let d(n) be the second derivative of 1/12*n**4 - 1/40*n**5 + 0 - 5*n - 1/12*n**g + 0*n**2. Factor d(p).
-p*(p - 1)**2/2
Solve 36/5*c - 1/5*c**2 - 128/5 = 0 for c.
4, 32
Factor 0 + 2*b + b**3 - 1/2*b**4 + 7/2*b**2.
-b*(b - 4)*(b + 1)**2/2
Let d(l) = -3*l**2 + 49*l - 13. Let i be d(16). Factor -8/7*t**i - 2/7*t - 10/7*t**2 + 0.
-2*t*(t + 1)*(4*t + 1)/7
Let b(a) be the third derivative of -a**6/40 + a**5/10 - 192*a**2. Solve b(g) = 0 for g.
0, 2
Let l(w) be the second derivative of 3*w**5/5 + 197*w**4/4 - 151*w**3/2 - 75*w**2 - 2*w - 17. Factor l(f).
3*(f - 1)*(f + 50)*(4*f + 1)
Let l(r) be the third derivative of r**8/84 - 6*r**7/35 - 23*r**6/15 - 74*r**5/15 - 17*r**4/2 - 26*r**3/3 - 9*r**2. Let l(f) = 0. Calculate f.
-1, 13
Solve -190096/3*f**2 - 82881856/9*f - 2/9*f**4 - 1744/9*f**3 - 4517061152/9 = 0.
-218
Let o = -147 + 152. Let i(h) be the third derivative of 0 + 2*h**2 - 1/504*h**8 + 1/180*h**6 + 0*h**4 - 1/315*h**7 + 0*h + 1/90*h**o + 0*h**3. Factor i(n).
-2*n**2*(n - 1)*(n + 1)**2/3
Determine w so that -6/7*w + 1/7*w**3 + 13/7*w**4 - 13/7*w**2 + 0 + 5/7*w**5 = 0.
-2, -1, -3/5, 0, 1
Let s(z) = z**2 + 6*z - 2. Let i be s(-7). Let g = i - 3. Suppose 4*y**2 - y**g - 6 - 2 - y**2 = 0. What is y?
-2, 2
Let j(f) be the first derivative of f**7/210 + 2*f**6/15 + 8*f**5/5 + 32*f**4/3 - 5*f**3/3 - 7. Let i(u) be the third derivative of j(u). Factor i(p).
4*(p + 4)**3
Let d be (-10)/20*-6 - 39/(-7). Solve -90/7*n + 39/7*n**2 + 27/7 + d*n**3 + 12/7*n**4 = 0.
-3, 1/2
Suppose -6*y + 3*y = 5*f + 11, -3*f = 5*y - 3. Suppose m - y*m + 19*m + 2*m**2 + 20 - 3*m = 0. What is m?
-5, -2
Determine d so that -35/4 - 15/2*d + 5/4*d**2 = 0.
-1, 7
Let u(m) be the first derivative of -9*m**5/10 + 3*m**4/8 + 59*m**3/6 + 37*m**2/4 + 3*m - 278. Find h, given that u(h) = 0.
-2, -1/3, 3
Let z(o) = 8*o**3 + 38*o**2 + 26*o + 12. Let x(k) = 8*k**3 + 39*k**2 + 26*k + 13. Let u(v) = 6*x(v) - 7*z(v). Determine g so that u(g) = 0.
-3, -1/2
Let f(s) = s**2 + 23*s + 12. Let t(g) = -12*g - 6. Let p = 40 - 43. Let m(b) = p*f(b) - 5*t(b). What is i in m(i) = 0?
-2, -1
Let l be (-312)/(-39) - 2/(-4)*-8. Let -6/5*t**3 + 0*t + 0 + 9/5*t**l + 3*t**5 + 0*t**2 = 0. Calculate t.
-1, 0, 2/5
Factor 3/2 + 1/4*c**3 + 11/4*c + 3/2*c**2.
(c + 1)*(c + 2)*(c + 3)/4
Suppose 17*g + 28 = 24*g. Let r = -5 - -9. Factor -3*b**5 + 0*b**5 - 2*b**3 - 3*b**r - 3*b**g - b**3.
-3*b**3*(b + 1)**2
Find n such that -n**2 - n**4 - 42642*n**3 - 7*n + 42649*n**3 + 2*n**4 = 0.
-7, -1, 0, 1
Let c(z) be the second derivative of 1/9*z**3 - 1/54*z**4 + 0 - 2/9*z**2 + 4*z. Suppose c(m) = 0. Calculate m.
1, 2
Let w be (-1 + -20)/(-2 + (-6)/(-5)). Let f = -523/20 + w. Factor -f*u**2 + 1/5*u - 1/10.
-(u - 1)**2/10
Let v(g) be the first derivative of -3*g**5/5 + 39*g**4/4 - 41*g**3 + 141*g**2/2 - 54*g - 262. Factor v(j).
-3*(j - 9)*(j - 2)*(j - 1)**2
What is m in -45*m**3 + 25*m**4 + 5 - 4*m**3 + 165*m**2 - 100*m + 15 - 61*m**3 = 0?
2/5, 1, 2
Factor -4/5*s**3 - 2/5*s**4 + 0*s - 2/5*s**2 + 0.
-2*s**2*(s + 1)**2/5
Let f(x) be the first derivative of 0*x**2 + 17/13*x**4 + 21 + 0*x - 16/39*x**3 - 14/65*x**5 - 4/39*x**6. Find n such that f(n) = 0.
-4, 0, 1/4, 2
Let o(x) be the third derivative of x**5/160 + 9*x**4/64 + 5*x**3/4 - 57*x**2 - 3*x. What is c in o(c) = 0?
-5, -4
Solve -40/3*w + 5/3*w**4 - 5/3*w**2 + 25/3*w**3 - 20/3 - 5/3*w**5 = 0 for w.
-1, 2
Let c(x) be the third derivative of -x**5/60 - x**3/6 - 2*x**2. Let r(z) = 4*z**2 - 3*z + 9. Let f(m) = 5*c(m) + r(m). Find q, given that f(q) = 0.
-4, 1
Suppose 11 + 13 = 2*y. Factor 4*g**2 - y + 3*g**2 - 10*g**2 + 8*g + 4*g.
-3*(g - 2)**2
Let w(i) = -5*i**3 - 10*i**2 - 5*i + 20. Let v = -21 - -30. Let n(q) = -21*q**3 - 39*q**2 - 21*q + 81. Let d(t) = v*w(t) - 2*n(t). Factor d(f).
-3*(f - 1)*(f + 2)*(f + 3)
Let o(c) be the first derivative of -1/5*c**5 + 0*c**2 - 1/3*c**3 + 12 - 1/2*c**4 + 0*c. Factor o(a).
-a**2*(a + 1)**2
Let y be (-477)/(-630) - (21/15 + -2). Let v = 13/7 - y. What is g in -3/2*g**4 + 1/2 - v*g**5 - g**3 + 3/2*g + g**2 = 0?
-1, 1
Let c(k) = k + 7. Let u be c(-7). Suppose -w + 12 = 2*q, -2*w + 4*w + 5*q - 29 = u. Determine i, given that 0*i**w - 4/7 - 6/7*i + 2/7*i**3 = 0.
-1, 2
Suppose -5*h + 189 = -2*f + f, -f - h - 201 = 0. Let a = f + 199. Determine r, given that 0 + 3/2*r**2 + a*r = 0.
0
Let t be (-19)/(-4) - (1/(-4) + 0). Suppose t*a = c + 3*c, -a - c = 0. Solve a*d**3 + 4/5*d**4 + 0 - 2/5*d - 4/5*d**2 + 2/5*d**5 = 0.
-1, 0, 1
Let b(v) be the first derivative of 38/3*v**3 - 24*v + 53 - 3/2*v**4 - 4*v**2. Factor b(p).
-2*(p - 6)*(p - 1)*(3*p + 2)
Let b be (1 - (-9)/(-8))/(18 + -19). Factor b*d**3 + 0*d**2 + 1/4*d**4 + 0*d + 1/8*d**5 + 0.
d**3*(d + 1)**2/8
Let n(l) be the third derivative of l**8/1680 - l**7/630 - l**6/180 - l**5/15 + 5*l**2. Let v(k) be the third derivative of n(k). Factor v(h).
4*(h - 1)*(3*h + 1)
Let c(l) be the third derivative of 3*l**5/35 - 61*l**4/42 - 4*l**3/3 + 10*l**2. Factor c(m).
4*(m - 7)*(9*m + 2)/7
Let s(c) be the third derivative of -1/48*c**4 + 1/240*c**6 + 0 + 0*c + 1/12*c**3 - 8*c**2 - 1/120*c**5. Factor s(m).
(m - 1)**2*(m + 1)/2
Let l(o) be the second derivative of o**4/3 - 60*o**3 + 4050*o**2 + 61*o. Factor l(v).
4*(v - 45)**2
Let v(z) = 30*z + 75. Let n be v(-13). Let k be (-10)/(-45) + (-200)/n. Factor 3/7*h + 3/7*h**4 - k*h**3 + 3/7 - 6/7*h**2 + 3/7*h**5.
3*(h - 1)**2*(h + 1)**3/7
Suppose -2*t = -4*z - 8, 2*t + 238 = 3*z + 246. Suppose -3/10 + 1/5*j**2 - 2/5*j + 2/5*j**3 + 1/10*j**t = 0. What is j?
-3, -1, 1
Let s(a) = 3*a**4 - 216*a**3 - 591*a**2 - 567*a - 165. Let u(t) = -t**4 + 54*t**3 + 148*t**2 + 142*t + 41. Let c(o) = 4*s(o) + 15*u(o). Factor c(z).
-3*(z + 1)**3*(z + 15)
Let f(j) = 4*j**2 - 232*j - 224. Let m(w) = -2*w**2 + 2*w. Let n(l) = -f(l) - 3*m(l). Suppose n(b) = 0. What is b?
-112, -1
Suppose -g - g = -6. Let w = -1/122 + 739/854. Let 4/7*q**2 + 6/7*q - w*q**g - 4/7 = 0. What is q?
-1, 2/3, 1
Suppose -5*i = 38 - 148. Let c = 24 - i. Let -3 - m**c + 0*m + m + m + 2*m = 0. What is m?
1, 3
Let s be (2 + 75/10)*2. Let -4 - 24*o + 7 - 2*o**3 + 27*o**2 + 9*o - s*o**3 + 6*o**4 = 0. What is o?
1/2, 1
Factor 5*l - 832 + 419 - l**2 + 409.
-(l - 4)*(l - 1)
What is n in -122*n**2 + 64*n**2 - 3*n - 6*n - n + 59*n**2 = 0?
0, 10
Let z(i) be the first derivative of -49*i**4/8 + 35*i**3/6 + 13*i**2/4 + i/2 - 375. Factor z(l).
-(l - 1)*(7*l + 1)**2/2
Suppose -21*v = 6*v. Let m(c) be the third derivative of 0*c**3 + 1/40*c**5 - 1/96*c**4 - 4/105*c**7 + v*c + 0*c**6 + 2*c**2 + 0. Let m(k) = 0. What is k?
-1/2, 0, 1/4
Let f = -8733/5 - -1795. Let y = f + -48. Find s, given that 2/5*s**2 + 2/5*s**3 - y - 2/5*s = 0.
-1, 1
Let k(o) be the second derivative of -o**6/210 + 9*o**5/35 - 323*o**4/84 - 6*o**3/7 + 162*o**2/7 + 2*o - 5. Factor k(u).
-(u - 18)**2*(u - 1)*(u + 1)/7
Let d = -28 + 17. Let f be (2 - 3 - d)*2. Factor f - 4*h**2 - 2 - 2.
-4*(h - 2)*(h + 2)
Let d(i) = 40*i**2 - 198*i + 160. Let x(p) = p**3 + p**2 - 1. Let m(v) = d(v) - 2*x(v). Factor m(u).
-2*(u - 9)**2*(u - 1)
Let z be (-7 - (-2492)/208) + -5 - 50/(-40). What is l in -16/13 + z*l**2 - 10/13*l + 10/13*l**3 = 0?
-8/5, -1, 1
Let g(q) = 26*q**2 + q. Let f be g(0). Determine m so that 0 + 3/7*m**3 - 18/7*m**2 + f*m = 0.
0, 6
Let g(i) = 2*i - 9. Let o be g(6). Let s be (4 + -8)*30/(-180). Fact