 + 11*w - 9. Let k be a(6). Let g = k - -232. Determine v so that g + 3/4*v**2 - 3/2*v - 1/8*v**3 = 0.
2
Let l(t) be the first derivative of t**3/2 - 67*t**2/2 - 45*t/2 - 1629. Solve l(h) = 0.
-1/3, 45
Factor 198*a - 8/5*a**2 - 738/5.
-2*(a - 123)*(4*a - 3)/5
Let t(h) = -8*h**5 + 34*h**3 + 78*h**2 + 4*h - 12. Let z(v) = 7*v**5 - v**4 - 36*v**3 - 76*v**2 - 8*v + 10. Let g(o) = 5*t(o) + 6*z(o). Factor g(a).
2*a*(a - 7)*(a + 1)**2*(a + 2)
Let u = 5891180/2291009 + -2/327287. What is f in 0 - 2/7*f**2 - u*f = 0?
-9, 0
Let c(d) = -d**3 - 43*d**2 - 161*d + 93. Let i be c(-40). Suppose -1723*h = -i*h + 20. What is o in -3/7*o**4 + 3/7*o + 0 - 3/7*o**3 + 3/7*o**h = 0?
-1, 0, 1
Let s(z) be the first derivative of -3/70*z**5 + 1/70*z**6 - 30*z + 0*z**2 + 0*z**3 - 7 - 3/28*z**4. Let i(m) be the first derivative of s(m). Factor i(x).
3*x**2*(x - 3)*(x + 1)/7
Let y(f) be the second derivative of f**5/5 + 2*f**4/3 - 10*f**3 + 5709*f. Determine r, given that y(r) = 0.
-5, 0, 3
Suppose -610*h - 20325 = -21545. Determine b, given that 6/5*b**h + 2/5*b**3 + 0 + 4/5*b = 0.
-2, -1, 0
Suppose 43 - 6 = 4*u - 3*v, 0 = 5*u + 5*v - 55. Find p, given that -2*p**4 - 2*p + 12*p**3 + 5*p**2 - 4*p**2 + p**2 - u*p**3 = 0.
-1, 0, 1
Factor -2124/7*i + 540/7*i**2 + 2112/7 - 3/7*i**3.
-3*(i - 176)*(i - 2)**2/7
Let w(i) be the first derivative of -44*i**2 + 1/3*i**3 + 1936*i - 19. Let w(y) = 0. Calculate y.
44
Factor 22*s - 1/7*s**2 + 960/7.
-(s - 160)*(s + 6)/7
Let c(s) be the first derivative of -1/4*s**3 + 72 + 21/2*s**2 - 147*s. Factor c(r).
-3*(r - 14)**2/4
Let t(p) = -p**2 + p - 1. Let y(n) = 146*n**2 - 11*n + 6. Suppose 0 = 56*i - 52*i + 24. Let c(b) = i*t(b) - y(b). Solve c(o) = 0 for o.
0, 1/28
Let m(r) be the second derivative of 8 - 33/40*r**5 + 7/2*r**3 + 15*r - 29/24*r**4 - 1/15*r**6 + 0*r**2. Factor m(l).
-l*(l + 2)*(l + 7)*(4*l - 3)/2
Find a, given that 158*a**2 + 95*a**3 - 715*a - 25*a**3 - 30 - 33*a**2 + a**3 + 49*a**3 = 0.
-3, -1/24, 2
Let m(x) be the first derivative of -4*x**5/5 + 44*x**3/3 - 36*x**2 + 32*x - 139. Solve m(u) = 0 for u.
-4, 1, 2
Let a be (-63)/(-84) + (-2 - (-51)/12). Determine c, given that -28 + 4*c**2 + 14 - a*c**2 + 13 = 0.
-1, 1
Let t be (-1)/((-2)/8) - (-7 + -284). Let n = t + -196. Suppose d**3 - 2*d**3 + 4*d**2 + n*d**4 - 98*d**4 - 10*d**2 = 0. What is d?
-2, 0, 3
Find w such that -3 + 53/2*w**2 - 57/2*w**3 - 7/2*w + 13/2*w**4 + 2*w**5 = 0.
-6, -1/4, 1
Let s(w) be the first derivative of 3*w**4/32 - 11*w**3/4 + 309*w**2/16 + 189*w/4 - 2880. Let s(a) = 0. What is a?
-1, 9, 14
Let p be 191/45 + 3933/(-1035). Factor p*r**3 + 16/3*r**2 + 0 + 16*r.
4*r*(r + 6)**2/9
Let i(r) be the third derivative of -1/100*r**6 + 12/5*r**3 + 42*r**2 - 1/525*r**7 + 17/20*r**4 + 13/150*r**5 + 0 + 0*r. Find d such that i(d) = 0.
-3, -1, 4
Let d be 4 - (((-43)/215)/((-12)/(-255)) + 8). Factor -d*p**2 + 1 + 3/4*p.
-(p - 4)*(p + 1)/4
Let t = 626/153 - -9722/765. Solve -24/5*d**3 + 66/5*d - 12/5 + 96/5*d**4 - t*d**2 - 42/5*d**5 = 0 for d.
-1, 2/7, 1
Let n(t) = -19*t + 232. Let h be n(12). Factor 28*q**2 + 5*q**h - 13*q**2 + 2839*q + 35*q**3 + 25*q**2 - 2919*q.
5*q*(q - 1)*(q + 4)**2
Let r(f) be the second derivative of -11/16*f**4 - 5/12*f**3 + 5 - 13/30*f**6 + 1/16*f**7 + 1/2*f**2 - 5*f + 161/160*f**5. Suppose r(u) = 0. Calculate u.
-1/3, 2/7, 1, 2
Let q(h) be the third derivative of h**5/90 - 71*h**4/36 + 268*h**3/9 - 4*h**2 + 296*h + 1. Factor q(o).
2*(o - 67)*(o - 4)/3
Let y(v) be the first derivative of -v**5/160 + 37*v**4/64 - 9*v**3/4 - 167*v**2/2 - 76. Let i(z) be the second derivative of y(z). Factor i(t).
-3*(t - 36)*(t - 1)/8
Let m(b) be the third derivative of b**6/780 + 103*b**5/390 + 2891*b**4/156 + 12005*b**3/39 + 6425*b**2. Let m(h) = 0. Calculate h.
-49, -5
Let z(u) be the first derivative of -u**7/105 - u**6/18 + u**5/10 + u**4/9 - 4*u**2 - u + 35. Let r(m) be the second derivative of z(m). Solve r(v) = 0 for v.
-4, -1/3, 0, 1
Let v(w) = -32*w + 3362. Let r be v(105). Let u(b) be the first derivative of -40 + 0*b - 1/8*b**3 + 0*b**r. Determine p so that u(p) = 0.
0
Let u(t) be the second derivative of 3 - 1/16*t**5 - 5/8*t**2 - 5/16*t**4 + 3*t - 5/8*t**3. Factor u(o).
-5*(o + 1)**3/4
Suppose -12 + 12 = -630*p. Let 2/13 - 2/13*g**2 + p*g = 0. Calculate g.
-1, 1
Let d(u) be the third derivative of 2*u**7/175 - 617*u**6/900 + 47*u**5/150 + 49*u**4/9 + 68*u**3/15 - u**2 + 1313. Solve d(o) = 0.
-1, -2/9, 3/2, 34
Let a = 533381 + -533379. What is z in 144/7 - 248/7*z**3 + 604/7*z**a - 512/7*z + 12/7*z**4 = 0?
2/3, 1, 18
Let x(o) be the third derivative of o**6/480 - 19*o**5/240 + 19*o**4/24 + 4*o**3 + 15*o**2 + 2*o + 45. Factor x(l).
(l - 12)*(l - 8)*(l + 1)/4
Let f(h) be the second derivative of -h**4/6 + 34*h**3/3 + 387*h**2 - h - 4822. Solve f(t) = 0.
-9, 43
Let y(w) = w**2 - 9*w - 88. Suppose -397*l + 405*l - 120 = 0. Let x be y(l). Factor -3/5*h**4 + x*h**3 + 2/5*h + 0 - 9/5*h**2.
-h*(h - 2)*(h - 1)*(3*h - 1)/5
Let a(d) be the second derivative of d**7/168 - d**6/12 - 21*d**5/40 + 6*d**4 + 459*d**3/8 + 729*d**2/4 + 6317*d. Let a(s) = 0. What is s?
-3, -2, 9
Let t(l) be the second derivative of 1/24*l**3 + 1/48*l**4 + 4 + 0*l**2 - 6*l. Let t(r) = 0. What is r?
-1, 0
Let x be 6/(-5) - -2 - (-16412)/7460. Determine g so that 0*g + 2/19*g**4 + 0*g**2 + 0 + 8/19*g**x = 0.
-4, 0
Let z = -142 + 146. Suppose -6*m**5 - 8*m**z + m**3 - 12*m**5 + 12*m**3 + 5*m**3 - 15*m**2 + 23*m**4 = 0. Calculate m.
-1, 0, 5/6, 1
Let r be 16/40 + (-6 - 219/(-15)). Let t be (r/(-4))/(273/48 - 7). Find w such that t*w - 3/7*w**2 + 12/7 - 3/7*w**3 = 0.
-2, -1, 2
Let j(u) = 9*u**3 - 9*u**2 - 81*u + 98. Let v(s) = 904*s**3 + 11*s - 907*s**3 + 3*s**2 - 33 + 16*s. Let p(w) = 6*j(w) + 17*v(w). Let p(q) = 0. Calculate q.
-3, 1, 3
Let h(k) be the third derivative of -k**5/30 - 8*k**4/3 + 68*k**3/3 - 462*k**2. Factor h(c).
-2*(c - 2)*(c + 34)
Let n = 635 + -635. Suppose 16 = 8*l - n. Factor 135*w - 5 - 3645/4*w**l.
-5*(27*w - 2)**2/4
Let p(l) be the first derivative of -l**6/51 + 72*l**5/85 - 65*l**4/17 + 40*l**3/17 + 131*l**2/17 - 192*l/17 + 2001. What is r in p(r) = 0?
-1, 1, 3, 32
Let p = -146 + 101. Let n = -41 - p. Factor n*z**2 - 7*z - 3*z + 4 + 2*z.
4*(z - 1)**2
Let n = 8554/45 + -1610/9. Let i(q) be the second derivative of 0 + 6*q + 32/15*q**6 - 38/3*q**3 + 4*q**2 - n*q**5 + 19*q**4. Determine k, given that i(k) = 0.
1/4, 1, 2
Let f be ((-6)/(-2) + -2)/(14/1106). Let -5*v**5 + 68*v**2 + 12*v + 100*v - 12*v**3 + v**5 - 20*v**4 - 31 + f = 0. Calculate v.
-3, -2, -1, 2
Factor -40/7*s - 4/7*s**2 + 1500/7.
-4*(s - 15)*(s + 25)/7
What is g in -3*g**2 - 2422*g - 443*g - 845883 + 755*g - 1076*g = 0?
-531
Let t(i) be the first derivative of -14/3*i**6 + 0*i**2 + 4*i**5 - 72 + 16*i**4 + 0*i + 16/3*i**3. Solve t(r) = 0 for r.
-1, -2/7, 0, 2
Suppose 8*x + 13 - 37 = 0. Factor q + 92*q**2 - 86*q**2 - q - 6 - 3*q + 3*q**x.
3*(q - 1)*(q + 1)*(q + 2)
Let z(d) = -30*d + 30. Let u be z(-9). Determine n so that u*n**2 - 2*n**3 + 302*n**2 - 596*n**2 = 0.
0, 3
Let v(m) = 20*m**2 - 15*m + 10. Let h(f) be the third derivative of 3*f**5/20 - f**4/3 + 5*f**3/6 - 20*f**2. Let r(y) = 5*h(y) - 2*v(y). Factor r(w).
5*(w - 1)**2
Factor -98/9*m**2 + 64/3 + 2/9*m**3 + 92/9*m.
2*(m - 48)*(m - 2)*(m + 1)/9
Let x(i) be the third derivative of -i**7/168 + i**6/6 - 13*i**5/16 - 4*i**2 + 20*i. Let x(n) = 0. Calculate n.
0, 3, 13
Let u(n) be the first derivative of -n**4/4 - 20*n**3/3 + n**2/2 + 20*n + 2832. Factor u(d).
-(d - 1)*(d + 1)*(d + 20)
Let f be (50/3)/(2/4). Let n = -83142 - -83152. Suppose -f*g**2 + n*g - 35/6*g**3 + 0 = 0. Calculate g.
-6, 0, 2/7
Let a = 647 + -644. Let d(t) be the first derivative of 5145/2*t**6 - 400*t**a + 1680*t**4 - 2 - 3332*t**5 + 40*t**2 + 0*t. Factor d(q).
5*q*(7*q - 2)**3*(9*q - 2)
Suppose -u = 10*u - 132. Find v such that -2*v**3 + 12*v**2 - 3*v**5 - u*v**4 + 16017*v - 4*v**3 - 16008*v = 0.
-3, -1, 0, 1
Let n(h) be the second derivative of -1/15*h**4 - 48*h - 2*h**3 - 28/5*h**2 - 1. Factor n(l).
-4*(l + 1)*(l + 14)/5
Let f(n) = -n**3 - 11*n**2 + 7*n + 77. Let i be f(-11). Let o(s) be the second derivative of 0*s**4 - 1/110*s**5 + 2/11*s**2 + i + 1/11*s**3 - 9*s. Factor o(y).
-2*(y - 2)*(y + 1)**2/11
Factor 145/3*v + 91/3*v**2 - 14 + 4/3*v**3.
(v + 2)*(v + 21)*(4*v - 1)/