0/882 - 7). Let s = 9/49 - k. Suppose -s*j**3 + 0 + 2/9*j**2 + 4/9*j = 0. What is j?
-1, 0, 2
Find g such that 16*g**5 + 20/3*g**2 + 2/3 - 15*g**3 - 40/3*g**4 + 5*g = 0.
-2/3, -1/4, 1
Let v(l) be the third derivative of -l**8/1680 + 8*l**7/525 - 21*l**6/200 + 23*l**5/75 - 11*l**4/30 - 7137*l**2. Let v(z) = 0. Calculate z.
0, 1, 2, 11
Let z(r) = -r**3 + 12*r**2 + 3*r - 29. Suppose -o + 4*v + 76 = 4*o, 4*v = -16. Let t be z(o). Solve -60*j**2 - 197 - 5*j**3 - 240*j + t - 130 = 0.
-4
Let o(y) be the second derivative of 2*y**6/15 - 8*y**5/5 - 41*y**4/3 + 152*y**3 - 360*y**2 + 66*y + 3. Find m, given that o(m) = 0.
-6, 1, 3, 10
Let m(y) be the third derivative of 0*y**4 - 4*y**2 - 1/3*y**3 + 1/300*y**5 + 0 + 1/1800*y**6 + 0*y. Let f(r) be the first derivative of m(r). Factor f(v).
v*(v + 2)/5
Let x(o) be the third derivative of -o**6/60 - o**5/15 + 469*o**4/4 - 6468*o**3 - 3100*o**2. Determine u, given that x(u) = 0.
-44, 21
Let t(z) be the second derivative of z**5/50 + 16*z**4/5 - 499*z**3/15 + 606*z**2/5 + 8862*z. Factor t(k).
2*(k - 3)*(k - 2)*(k + 101)/5
Let v(k) be the first derivative of 2*k**5/25 - 7*k**4/10 + 2*k**3 - 13*k**2/5 + 8*k/5 - 88. Factor v(l).
2*(l - 4)*(l - 1)**3/5
Let u be ((12192/(-127))/(9/(-2)))/6. Let -u + 4/9*q**2 - 28/9*q = 0. What is q?
-1, 8
Let c = 3675 - 3670. Let j be (2 + -1 - -1) + 52. Factor j*p - 900 + 95*p - c*p**2 - 29*p + p**2.
-4*(p - 15)**2
Factor 4/9*p**3 - 160/9 - 56/3*p**2 + 36*p.
4*(p - 40)*(p - 1)**2/9
Let b be (-61)/(-1342) + (-410)/(-660). Factor -1/6*r**3 - 1/6*r**2 + b + 2/3*r.
-(r - 2)*(r + 1)*(r + 2)/6
Let y(i) = 10*i**3 - 798*i**2 + 11492*i + 41059. Let j(o) = -2*o**3 + 158*o**2 - 2298*o - 8212. Let p(h) = -11*j(h) - 2*y(h). Factor p(w).
2*(w - 37)**2*(w + 3)
Factor 1/2*n**2 + 0 + 9/2*n.
n*(n + 9)/2
Let n = 2/160419 - -91666/160419. Determine x, given that n*x**4 + 0 - 36/7*x**2 + 12/7*x**3 + 20/7*x = 0.
-5, 0, 1
Let a(j) = j**3 - 15*j**2 - 1040*j - 1064. Let m be a(41). Suppose 2/7*p**4 - 22/7*p - 18/7*p**m - 2/7*p**3 - 8/7 = 0. Calculate p.
-1, 4
Let z(f) be the third derivative of 2*f**6/105 + 5*f**5/21 + 7*f**4/6 + 20*f**3/7 + 8*f**2 + 2*f + 34. Factor z(m).
4*(m + 2)*(m + 3)*(4*m + 5)/7
Let b = -99 + 107. Let s be b/10*(-8)/((-16)/5). Let -8/3 + 2/3*x**s + 0*x = 0. Calculate x.
-2, 2
Suppose -26*m = -22*m - 4*q - 8, 2*q = 5*m - 19. Suppose -k = k + m*k. Factor k - i**3 + 4/3*i + 0*i**2 + 1/3*i**4.
i*(i - 2)**2*(i + 1)/3
Let h(f) be the second derivative of 0 + 0*f**2 - 4/15*f**3 + 1/60*f**4 - f. Determine b, given that h(b) = 0.
0, 8
Let b be (-26 + (-628)/312*-13)*(0 + 2). Suppose -7/3*p - 2/3*p**2 + 5/3*p**4 + 2*p**3 - 1 + b*p**5 = 0. Calculate p.
-3, -1, 1
Let c(x) be the first derivative of -x**7/7140 + x**6/612 - x**5/255 + 224*x**3/3 + 128. Let h(t) be the third derivative of c(t). Determine k so that h(k) = 0.
0, 1, 4
Let i(q) be the third derivative of -165*q**2 - 53/60*q**5 - 6*q**3 + 0*q + 0 - 19/6*q**4 - 7/60*q**6 - 1/210*q**7. Factor i(n).
-(n + 1)*(n + 2)**2*(n + 9)
Suppose -d = -y - 10, 11 = -y + 82*d - 80*d. Let a be y/54*18/(-3). Suppose -a + 1/2*o + 1/2*o**2 = 0. Calculate o.
-2, 1
Let k(i) be the first derivative of i**6/9 + 2*i**5/15 - 13*i**4/6 - 50*i**3/9 - 4*i**2 - 1410. Determine t so that k(t) = 0.
-3, -1, 0, 4
Let h(i) be the first derivative of -i**6/24 - 9*i**5/10 - 25*i**4/4 - 21*i**3/2 + 245*i**2/8 - 5793. Let h(j) = 0. What is j?
-7, -5, 0, 1
Let k(g) = -g**3 - g + 1. Let p = 28 - 45. Let m = p - -16. Let y(s) = -4*s**3 - 8*s + 3. Let j(c) = m*y(c) + 5*k(c). Factor j(w).
-(w - 2)*(w + 1)**2
Let t be (-900)/(-90) + (0 - 4) + -6. Let m(q) be the third derivative of 0 + 16/3*q**3 + t*q - 2*q**4 - 31*q**2 + 3/10*q**5. Find f such that m(f) = 0.
4/3
Factor 346 + 67 + 68 - 6*q**2 + 5 + 0 - 315*q.
-3*(q + 54)*(2*q - 3)
Let s(a) = -a**2 - 32*a - 243. Let j be s(-19). Let q(k) be the first derivative of -2*k**2 - 8/3*k**3 - k**j + 23 + 0*k. Factor q(c).
-4*c*(c + 1)**2
Let j(i) = -i**2 - 368*i + 144. Let k(g) = -4*g**2 - 367*g + 146. Let r(w) = 4*j(w) - 3*k(w). Solve r(m) = 0.
3/8, 46
Let g(k) = 92 + 10*k**2 + 34*k + 19 - 56 + 11*k + 5*k. Let u(m) = 25*m - 4*m**2 + 0*m + 9*m**2 + 27. Let n(d) = -3*g(d) + 5*u(d). Determine h so that n(h) = 0.
-3, -2
Let u(m) = m**3 + 5*m**2 + 4*m + 4. Suppose 2*h - 64 = 18*h. Let f be u(h). Suppose 54*p**2 - 32*p - 583*p**2 - f + 0 - 60*p = 0. What is p?
-2/23
Suppose -2*y + 19 + 17 = 0. Let k be ((y/5)/(-3))/(28/(-630)). Let k + 30*h + 7 + 5*h**2 + 11 = 0. What is h?
-3
Factor 0 + 3/7*a**3 + 0*a + 306/7*a**2.
3*a**2*(a + 102)/7
Let c(i) be the third derivative of -i**8/112 + 3*i**7/35 + 63*i**6/40 - 98*i**5/5 + 3*i**2 + 251*i. Factor c(o).
-3*o**2*(o - 7)**2*(o + 8)
Suppose -630 - 400 = -515*h. Factor -1/2*m - 9/4*m**3 + 0 - 1/4*m**5 - 5/4*m**4 - 7/4*m**h.
-m*(m + 1)**3*(m + 2)/4
Suppose 63*l = 35*l. Let n(j) be the third derivative of 1/60*j**5 + 19*j**2 + l*j**6 + 0*j + 0 + 0*j**3 + 1/672*j**8 - 1/210*j**7 - 1/48*j**4. Factor n(q).
q*(q - 1)**3*(q + 1)/2
Let z(x) be the second derivative of x**5/10 + 298*x**4/3 - 1195*x**3/3 + 598*x**2 - 5793*x. Let z(m) = 0. What is m?
-598, 1
Let d(m) be the first derivative of 100 + 6/5*m**2 + 16/5*m + 2/15*m**3. Factor d(a).
2*(a + 2)*(a + 4)/5
Let i = 106 - -309. Let c = -413 + i. Solve -6/13*v**c - 2/13 - 6/13*v - 2/13*v**3 = 0.
-1
Let s be (-11921)/(-15015) - (-18)/66. Factor -s*k - 2/15*k**4 + 2/5 + 0*k**3 + 4/5*k**2.
-2*(k - 1)**3*(k + 3)/15
Let b = 1032 - 2059/2. Let 5*r + b*r**2 - 15/2 = 0. Calculate r.
-3, 1
Let o(q) = -2*q**3 - q**2 - q + 1. Let b(k) = -k**4 + 13*k**3 + 10*k**2 + 4*k - 4. Let z(x) = -5*b(x) - 20*o(x). Factor z(v).
5*v**2*(v - 6)*(v + 1)
Factor -607 + 13*s**2 - 323 - 33*s**2 + 15*s**2 - 475*s.
-5*(s + 2)*(s + 93)
Let j(s) be the second derivative of s**7/63 - 3*s**6/5 - 29*s**5/30 + 3*s**4/2 + 28*s**3/9 - 716*s. Let j(v) = 0. What is v?
-1, 0, 1, 28
Let k(r) = -39 + 34 + 179 + 2*r + 2*r. Let f be k(-43). Factor -2/7*i**3 + 18/7*i**f + 32/7 - 48/7*i.
-2*(i - 4)**2*(i - 1)/7
Determine o, given that 519*o**4 - 24*o**3 + 27*o**3 - 779*o**5 + 1241*o**5 - 54*o**2 = 0.
-1, -9/22, 0, 2/7
Let k(d) be the first derivative of d**6/450 - d**5/150 + 26*d**3/3 + 13. Let t(c) be the third derivative of k(c). Determine b, given that t(b) = 0.
0, 1
Let j(s) = -2*s**3 + 8*s**2 - 8*s + 3. Let g(r) = 158*r + 0 - 2 - 150*r - 8*r**2 + 2*r**3. Let l(z) = 6*g(z) + 4*j(z). Factor l(p).
4*p*(p - 2)**2
Suppose 5*k = f + 48, 4*k = -f + 12 + 30. Suppose 6*y - 9*y - 2*a - k = 0, -4*y + 3*a + 15 = 0. Factor y*v + 1/3*v**3 + 1/6*v**4 - 1/2*v**2 + 0.
v**2*(v - 1)*(v + 3)/6
Let n(a) = -4*a**2 + 4*a - 3. Let d be n(0). Let k be ((-1400)/(-672))/(d/(-12)). Factor k*i**3 + 30*i**2 - 13*i + 4/3.
(i + 4)*(5*i - 1)**2/3
Let k(i) = -i + 3*i**2 + 0*i + 493 - 4*i**2 - 493. Let n(c) = c**2 + 3*c**2 + 10*c + 129 - 129. Let u(p) = -15*k(p) - 5*n(p). Solve u(w) = 0.
-7, 0
Let m(h) be the first derivative of 3/2*h**2 + 3/4*h**4 + 99 + 2*h**3 + 0*h. Factor m(o).
3*o*(o + 1)**2
Let u be (12/20)/(3/(-30)*-2). Factor 40*j + 17*j**2 + 7*j**2 - 55*j - 42 - u*j**3.
-3*(j - 7)*(j - 2)*(j + 1)
Suppose -5*f = w + 209, 2*f + 103 = w + 18. Let t be (-141)/(-231) + f/98. Factor -48/11*d - t*d**3 + 32/11 + 18/11*d**2.
-2*(d - 4)**2*(d - 1)/11
Let r be (-5)/((-110)/4) + 4978/209. Let l(o) = -10*o + 240. Let p be l(r). Factor 1/2*g**2 + 0*g**3 + p - 1/6*g**4 + 1/3*g.
-g*(g - 2)*(g + 1)**2/6
Factor -144*q + 144*q**3 - 121815*q**4 + 3*q**2 - 121808*q**4 + 243620*q**4.
-3*q*(q - 48)*(q - 1)*(q + 1)
Suppose 5*t = 26 - 6. Find h such that -65*h**3 + 6*h + 15*h**2 + 6 - 7*h**5 + 40*h**t + 6*h + 5*h**2 - 6 = 0.
-2/7, 0, 1, 2, 3
Suppose 19 + 11 = 6*t. Let w = 8 - t. Suppose 4 + w + 4 - 3*l - l**3 - 2 - 5*l**2 = 0. Calculate l.
-3, 1
Let f be -10*3/(-6) - 2. Factor 2 - 2*z + 8*z**5 - 19*z**4 - 13*z**5 - 17*z**2 + z + z**5 - 2*z**2 - 31*z**f.
-(z + 1)**3*(z + 2)*(4*z - 1)
Let z be (224/2304*6)/(2 - 18/16). Suppose z + 2/3*g**2 + 4/3*g = 0. What is g?
-1
Let h(w) = -38*w**3 - w**2 - 2*w - 2. Let s be h(-1). Let c = -33 + s. Factor -z**3 - z - 35*z**2 + 2 - 2*z + 33*z**2 + c*z.
-(z - 1)*(z + 1)*(z + 2)
Let w = 2396 - 2387. Let s(j) be the first derivative of -4/19*j + 1/19*j**2 + 2/19*j**3 + w. Factor s(d).
2*(d + 1)*(3*d - 2)/19
Let t(b) be