s) = -15*s - 4*s**2 + 18*s + 0*s**2 + 2. Let h(x) = 5*x**2 - 4*x - 3. Suppose 0*r + 5 = -r. Let p(a) = r*h(a) - 6*d(a). Let p(w) = 0. What is w?
-1, 3
Suppose -8*i = -7*i + 5, 10*r + 4*i - 10 = 0. Solve 5/2*t**4 + 1 - 3/2*t**r + 3/2*t - 7/2*t**2 = 0 for t.
-1, -2/5, 1
Suppose -2*q - 2*n = 10, -5*n - 30 = -5*q - 5. Let w(u) be the third derivative of 27*u**2 + q*u + 0 - 7/80*u**6 + 19/40*u**5 - u**3 - 1/2*u**4. Factor w(a).
-3*(a - 2)*(a - 1)*(7*a + 2)/2
Let n(f) = -f**2 + 38*f - 35. Suppose 187 = 5*k - w, -2*k - 16*w + 15*w + 72 = 0. Let q be n(k). Determine l, given that 0*l + 0 - 3/7*l**q = 0.
0
Let c(y) be the first derivative of 2*y**3/21 - 38*y**2/7 - 48*y - 69. Determine t, given that c(t) = 0.
-4, 42
Let n(p) = 3*p**3 - 180*p**2 + 182*p + 75. Let w(l) = -4*l**3 + 270*l**2 - 273*l - 105. Let y(z) = 7*n(z) + 5*w(z). Factor y(d).
d*(d - 1)*(d + 91)
Factor -2*g**2 - 126 + 100*g - 426 + 354*g - 172 - 620.
-2*(g - 224)*(g - 3)
Let g(y) = 3*y - 78. Let v be g(27). Let o be (-160)/45 + -2 + -2 + 8. Factor -o - 88/9*u**2 - 50/9*u - 14/3*u**v.
-2*(u + 1)**2*(21*u + 2)/9
Let o = -637 + 511. Let l = 129 + o. Factor -3/2*p**2 + p + 0 - p**l + 3/2*p**4.
p*(p - 1)*(p + 1)*(3*p - 2)/2
Factor 9*k**2 + 47/5 - 1/5*k**3 + 93/5*k.
-(k - 47)*(k + 1)**2/5
Let z(n) be the second derivative of 3*n**7/14 + 10*n**6 + 297*n**5/5 + 281*n**4/2 + 321*n**3/2 + 87*n**2 - 5*n - 751. Find c, given that z(c) = 0.
-29, -2, -1, -1/3
Let p(v) be the second derivative of v**5/180 + 1771*v**4/36 + 3136441*v**3/18 + 5554637011*v**2/18 - 36*v + 35. Factor p(k).
(k + 1771)**3/9
Let b be (1300/(-1430))/((-7)/11). Determine v, given that -10/7*v**3 - 8/7 + b*v**2 - 2/7*v**4 + 2/7*v**5 + 8/7*v = 0.
-2, -1, 1, 2
Let l = -337210/11 - -337246/11. Determine n so that 38/11 - 2/11*n**2 + l*n = 0.
-1, 19
Let s(c) = -10 + c + c**2 + 4*c + 8*c**2. Let i(v) = 19*v**2 + 10*v - 20. Let x = -71 - -80. Let b(m) = x*s(m) - 4*i(m). Suppose b(a) = 0. What is a?
-2, 1
Suppose 0 = -t + n + 15, -t - 3 - 7 = 4*n. Suppose a + 2*a - 2*d = 22, 0 = -a - 2*d + t. What is f in 0*f**3 - 40*f + 2*f**3 - 17*f**3 + f**3 - 46*f**2 - a = 0?
-2, -1, -2/7
Let b(i) = 6*i**2 - 3*i. Let m(h) = -134*h**2 + 44*h + 120. Let q(l) = -44*b(l) - 2*m(l). Factor q(x).
4*(x - 4)*(x + 15)
Let o(v) be the third derivative of -v**5/630 - v**4/21 + 253*v**3/63 - 1967*v**2. Factor o(f).
-2*(f - 11)*(f + 23)/21
Let d be 10/40 + 177/12. Let t be ((-9)/d)/((-3)/15). Determine f, given that -t*f**4 - 25*f + 22*f**2 + 4*f**4 - 66 + f + 75 - 8*f**3 = 0.
1, 3
Find u such that 42/5*u**2 + 0 + 3*u**3 + 0*u - 3/5*u**4 = 0.
-2, 0, 7
Let b(o) be the second derivative of -2*o**4 + 0*o**2 + 0 - 1/90*o**6 - 4/15*o**5 + o**3 + 24*o. Let s(w) be the second derivative of b(w). Factor s(k).
-4*(k + 2)*(k + 6)
Let p(q) be the first derivative of q**6/72 - 5*q**5/8 + 35*q**4/12 + 26*q**3/3 - q**2 - 18. Let n(f) be the third derivative of p(f). Factor n(t).
5*(t - 14)*(t - 1)
Let m = 3479 + -417479/120. Let y(a) be the third derivative of -1/24*a**4 + 0*a + 0*a**5 + a**2 + 0 + m*a**6 + 0*a**3. Let y(d) = 0. What is d?
-1, 0, 1
Suppose -840 = 496*h - 2733*h + 5871. Factor -4/5*y + 12/5*y**4 + 4/5*y**2 + 4*y**h + 0.
4*y*(y + 1)**2*(3*y - 1)/5
Let u be 12670/350 - 2*1/10. Let l(k) be the first derivative of -3/4*k**2 + 0*k + 3/20*k**5 - 3/4*k**3 + 0*k**4 + u. Determine y, given that l(y) = 0.
-1, 0, 2
Let y = 215 - 248. Let z be (-4826)/(-1045) + (-6)/y. Factor -48/5 - z*m - 3/5*m**2.
-3*(m + 4)**2/5
Let n = 2575/5154 + 1/2577. Factor 1/2 - n*x**2 + 0*x.
-(x - 1)*(x + 1)/2
Let h = -182167/117 + 20248/13. Find f, given that -2/3*f + 0 + h*f**3 + 13/9*f**2 = 0.
-3, 0, 2/5
Suppose 2/9*f**3 + 0*f + 10/9*f**2 + 0 = 0. What is f?
-5, 0
Let o(r) be the first derivative of -2*r**3/3 + 20*r**2 + 138*r + 765. Determine l, given that o(l) = 0.
-3, 23
Suppose -z = 5*v + 68, 49*z + 52 = -3*v + 54*z. Let m be (-576)/(-672)*v/(-40). Factor -1/10*y**2 - m - 2/5*y.
-(y + 1)*(y + 3)/10
Find b such that 0 + 1/2*b**4 + 45*b + 69/2*b**2 + 8*b**3 = 0.
-10, -3, 0
Let g(z) be the second derivative of z**7/3150 - 17*z**6/900 - 19*z**5/75 + 6*z**4 - z**3/3 - 3*z + 20. Let n(r) be the third derivative of g(r). Factor n(q).
4*(q - 19)*(q + 2)/5
Suppose 281*p + 120 = 286*p. Suppose 27*r - p*r - 12 = 0. Factor -9/5*v**r + 0 - 3/5*v - 3*v**2 - 21/5*v**3.
-3*v*(v + 1)**2*(3*v + 1)/5
Let s = -5/4452 + 1091/636. Factor 16/7*v + 0*v**3 - 2/7*v**4 + s*v**2 + 6/7.
-2*(v - 3)*(v + 1)**3/7
Let r(p) = 4*p + 123. Let l be r(-12). Let z be (l/2)/5 - (-42 - -48). Factor 0 - 3*w - z*w**2.
-3*w*(w + 2)/2
Let r = -709/210 + 107/30. Let q(b) be the second derivative of 0 - 2/21*b**3 + 12/7*b**2 - r*b**4 - 1/35*b**5 + 2*b. What is c in q(c) = 0?
-3, -2, 1
Let x(l) be the third derivative of l**6/280 - 1167*l**5/35 + 907926*l**4/7 - 1883643808*l**3/7 - 6213*l**2. Factor x(q).
3*(q - 1556)**3/7
Solve -11/2*i**2 + 59/4*i + 1/4*i**3 - 19/2 = 0 for i.
1, 2, 19
Let k be 35*(-3)/(-15) - 175/(-7). Suppose -10*h = -2*h - k. Find f, given that -2*f**2 + 0 + 2/7*f**5 + 6/7*f**h + 12/7*f - 6/7*f**3 = 0.
-3, -2, 0, 1
Let k(u) = -2*u - 1. Let v be k(3). Let i(b) = -b**2 + 14. Let h(a) = 2*a**2 - 43. Let d(r) = v*i(r) - 2*h(r). Find p, given that d(p) = 0.
-2, 2
Let f(s) be the third derivative of 0 - 1/480*s**6 - 1/6*s**4 + 0*s + 0*s**3 + 89*s**2 - 1/30*s**5. Let f(x) = 0. Calculate x.
-4, 0
Factor 14/5*b**3 - 72/5*b**2 + 66/5*b - 8/5.
2*(b - 4)*(b - 1)*(7*b - 1)/5
Let o(g) be the first derivative of -3*g**4/16 + 536*g**3/3 + 717*g**2/2 - 716*g - 8613. Let o(s) = 0. Calculate s.
-2, 2/3, 716
Let u be -33 + 1 - 411588/(-12051). Factor u*m + 2/13*m**2 + 98/13.
2*(m + 7)**2/13
Determine a, given that -15*a**3 - 15048/5*a - 411*a**2 - 13068/5 = 0.
-66/5, -1
Let h(m) be the second derivative of m**7/210 + m**6/24 + m**5/10 - 51*m**2/2 - 4*m + 6. Let o(p) be the first derivative of h(p). Factor o(n).
n**2*(n + 2)*(n + 3)
Let v be ((4/12)/((-5)/(-2)))/((-9)/(-27)). Let x be 8/(-6)*(-9)/30. Factor -7/5*c**2 + v*c**3 + 7/5*c - x.
(c - 2)*(c - 1)*(2*c - 1)/5
Let h = -17 - -20. Suppose 14 = -h*b + 5*m, -m = 3*b - 18 + 8. Factor -3/2*d**3 + 0 + 3/2*d**b + 3*d.
-3*d*(d - 2)*(d + 1)/2
Let h(f) be the first derivative of f**5/35 - 41*f**4/21 + 950*f**3/21 - 2166*f**2/7 + 274*f + 123. Let j(s) be the first derivative of h(s). Factor j(p).
4*(p - 19)**2*(p - 3)/7
Let t(p) = -p**3 - 45*p**2 - 88*p - 80. Let a be t(-43). Solve 3*d**5 + 3*d**3 - 275 + 557 - 282 - a*d**4 = 0.
0, 1
Factor -350*j - 679 + 15*j**2 + 29 - 70 + 5*j**3.
5*(j - 8)*(j + 2)*(j + 9)
Let y(l) be the second derivative of -l**5/10 - 2*l**4/3 + 20*l**3/3 + 48*l**2 + l + 505. Factor y(x).
-2*(x - 4)*(x + 2)*(x + 6)
Let c be (21/6 - 5)*-2. Let n(u) be the first derivative of -6*u + u + u**5 + 2*u**2 - c*u**3 + 29 + 2*u**2 - 2*u**4 + 9*u. Solve n(i) = 0.
-1, -2/5, 1, 2
Factor -448*l**3 + 123*l**4 - 23*l**5 + 24*l**5 + 99*l**4 - 224 + 326*l + 121*l + 2*l**2.
(l - 1)**3*(l + 1)*(l + 224)
Let z(o) = 415 + 317 - 96 + 64 + 53*o**2 + 2797*o. Let d(x) = -26*x**2 - 1399*x - 350. Let g(s) = 13*d(s) + 6*z(s). Suppose g(r) = 0. What is r?
-70, -1/4
Let l(m) be the first derivative of m**4/60 - 2*m**3/15 - m**2/2 - 45*m + 68. Let t(w) be the first derivative of l(w). Factor t(v).
(v - 5)*(v + 1)/5
Suppose -33750 + 1125/2*g**2 - 115/2*g**3 + 3375/2*g + 3/2*g**4 = 0. Calculate g.
-20/3, 15
Let t(g) be the third derivative of g**8/504 - 478*g**7/315 - 959*g**6/180 - 16*g**5/3 + 6*g**2 + 212. Factor t(j).
2*j**2*(j - 480)*(j + 1)**2/3
Factor -2/9*g**2 - 628/9*g + 1264/9.
-2*(g - 2)*(g + 316)/9
Let w = -18/16561 - -596322/115927. Factor -3/7*b**4 - w*b**2 + 0 - 18/7*b**3 - 24/7*b.
-3*b*(b + 2)**3/7
Let h = 76188/5 - 15180. Factor 10*r**2 + h - 2/5*r**3 - 336/5*r.
-2*(r - 12)**2*(r - 1)/5
Find h such that 0 - 16/5*h - 156/5*h**3 - 64*h**2 = 0.
-2, -2/39, 0
Factor -32/3*g**3 - 2/9*g**4 + 0 - 94/9*g**2 + 0*g.
-2*g**2*(g + 1)*(g + 47)/9
Let x = 9 - 1626. Let y be 7 - (4/(-30) + x/(-315)). Factor 5/2*a**y + 125/6 + 25/2*a + 1/6*a**3.
(a + 5)**3/6
Let a(f) be the first derivative of -2*f**3/21 - 6*f**2/7 + 320*f/7 - 3834. Factor a(t).
-2*(t - 10)*(t + 16)/7
Factor 904/5*n - 2/5*n**2 - 102152/5.
-2*(n - 226)**2/5
Factor 0*q - 1/2*q**3 - 40*q**2 + 0.
-q**2*(q + 80)/2
Let j(t) = 2*t**2 - 8*t + 