1/252*m**8 + 0*m - 4/315*m**7 + 0 - 2/9*m**6 + 230*m**2. Find d such that l(d) = 0.
-2, 4
Suppose 2*f = 3*v + 86 + 60, -87 = -f + 5*v. Let b = 69 - f. Suppose 0*p**3 - 20*p**b + 22*p**2 + 2*p**5 - 2*p**3 - 2*p**4 = 0. Calculate p.
-1, 0, 1
Let p be (-12)/(-2 + 0 + -2). Let n(w) be the first derivative of -11/8*w**p - 9/16*w**2 + 0*w + 22 + 3/8*w**4. Factor n(m).
3*m*(m - 3)*(4*m + 1)/8
Let a(n) = 2*n**2 - 9*n + 11. Let r be a(3). Let w be (-2)/(-4) + 15/6. Factor w - 49*x - 4*x**r + 49*x + x**2.
-3*(x - 1)*(x + 1)
Let m(u) = 30*u**4 - 56*u**3 + 72*u**2 + 280*u - 488. Let w(q) = 11*q**4 - 18*q**3 + 23*q**2 + 93*q - 163. Let c(k) = -3*m(k) + 8*w(k). Factor c(d).
-2*(d - 10)*(d - 2)**2*(d + 2)
Let u(z) = 2*z**2 - 315*z - 653. Let x(j) = 7*j**2 - 941*j - 1960. Let l(f) = -10*u(f) + 3*x(f). Determine g, given that l(g) = 0.
-325, -2
Let z be ((-2)/(-4) + 18/(-4))/(13702/(-41106)). Factor -80/3 + 2/3*j**2 - z*j.
2*(j - 20)*(j + 2)/3
Factor 154/5*b - 34/5*b**3 + 118/5*b**2 + 0 + 2/5*b**4.
2*b*(b - 11)*(b - 7)*(b + 1)/5
Suppose -167*q + 180*q - 4732 = 0. Suppose -q = -12*b - 220. Suppose 0 + 4/3*r + 4*r**3 - 20/3*r**2 + b*r**4 = 0. What is r?
-1, 0, 1/3
Let y(i) be the third derivative of i**5/600 - i**4/240 - 6*i**3/5 + 33*i**2 + 4. Factor y(a).
(a - 9)*(a + 8)/10
Let s(g) = 47*g**3 + 648*g**2 - 1275*g - 19. Let q(b) = -5*b**3 - 72*b**2 + 142*b + 2. Let m(k) = 38*q(k) + 4*s(k). Solve m(i) = 0.
-74, 0, 2
Let l = 13 + -6. Suppose 3 = 8*n - 13. What is t in l*t - 10 + 5*t + 2 - 4*t**n = 0?
1, 2
Let d = 447 + -901/2. Let l = 25/6 + d. Determine t, given that 2/3*t**5 - 2*t + 2*t**4 + 4/3*t**3 - l - 4/3*t**2 = 0.
-1, 1
Let n(t) be the second derivative of 0 + 3/2*t**2 + 34*t + 1/10*t**6 - 1/10*t**5 - 1/2*t**4 + 1/42*t**7 + 1/6*t**3. Let n(a) = 0. What is a?
-3, -1, 1
Let o(x) be the third derivative of 0*x**5 + 0*x**7 + 1/2352*x**8 + 11*x - x**2 + 0*x**4 + 0 + 0*x**3 + 0*x**6. Determine g, given that o(g) = 0.
0
Suppose -4*a - 11 = -5*a - z, 4*z = 4*a - 4. Find f such that 7140*f**4 + 6 + a - 7146*f**4 - 33*f**2 + 27*f**3 = 0.
-1/2, 1, 2
Let r(m) be the second derivative of -11/6*m**4 + 0*m**2 + 4/3*m**3 + 9/10*m**5 + 0 + 200*m - 1/21*m**7 - 1/15*m**6. Factor r(f).
-2*f*(f - 1)**3*(f + 4)
Let j(d) be the first derivative of 4*d**5/45 + d**4/9 - 292*d**3/27 - 290*d**2/9 - 32*d + 3460. Factor j(n).
4*(n - 9)*(n + 1)**2*(n + 8)/9
Suppose 8*p = 11*p + 115*p - 1888. Let b(u) be the first derivative of -28/5*u**5 - p*u - 100/3*u**3 + 32*u**2 + 2/3*u**6 + 19*u**4 + 20. Factor b(t).
4*(t - 2)**2*(t - 1)**3
Let j = 26613088/1376539 - 2/4129617. Factor 1/9*c**3 + 3364/3*c + 195112/9 + j*c**2.
(c + 58)**3/9
Let x be (-6 - (9 - 18))/(-3). Let z be (-210)/(-12) + x + -4. Determine y, given that 15/2*y - 9/2*y**2 + z + 1/2*y**3 = 0.
-1, 5
Let j(b) be the first derivative of 7*b**6/13 + 2*b**5/5 - 111*b**4/13 + 488*b**3/39 - 24*b**2/13 - 64*b/13 + 1937. Solve j(i) = 0 for i.
-4, -2/7, 2/3, 1, 2
Suppose -34*c + 130*c = 480. Let -1/2*i + 0 + 9/4*i**4 + 13/4*i**2 - c*i**3 = 0. Calculate i.
0, 2/9, 1
Let g(s) be the third derivative of s**7/840 + s**6/48 + 11*s**5/80 + 11*s**4/24 + 5*s**3/6 - 37*s**2 + 3. Factor g(r).
(r + 1)*(r + 2)**2*(r + 5)/4
Determine g so that -54/7*g**3 + 264/7*g**2 - 42*g - 36/7 = 0.
-1/9, 2, 3
Let j be (-45520)/25 + (-2)/10. Let b = j - -1824. Factor -486/5 + 162/5*m - 18/5*m**2 + 2/15*m**b.
2*(m - 9)**3/15
Factor -209*x**2 + 85*x**2 + 121*x**2 + 55*x - 532*x.
-3*x*(x + 159)
Let a = -16 - -37. Let m(q) = q**2 - 14*q + 38. Let k be m(a). Factor c**2 + 193*c - 5*c**2 - k*c.
-4*c*(c - 2)
Factor -6*g**2 + 3/2*g**3 - 3 + 15/2*g.
3*(g - 2)*(g - 1)**2/2
Let k(p) be the third derivative of p**5/90 - 287*p**4/36 - 578*p**3/9 - 5*p**2 + p - 16. Factor k(u).
2*(u - 289)*(u + 2)/3
Let z be 0*8*(-19)/304. Let s(n) be the second derivative of z*n**2 + 1/3*n**3 + 31/48*n**4 + 0 - 1/20*n**5 + 43*n. Let s(d) = 0. Calculate d.
-1/4, 0, 8
Suppose 50*g - 139*g = 0. Let b(p) be the third derivative of 1/3*p**3 + 0 - 1/24*p**4 - 1/60*p**5 - 21*p**2 + g*p. Let b(u) = 0. What is u?
-2, 1
Let p(w) be the third derivative of w**6/10 - 436*w**5/3 + 132253*w**4/2 - 175692*w**3 + 1961*w**2. Factor p(s).
4*(s - 363)**2*(3*s - 2)
Let p be (0 - (-2 - -3))/(-1). Let o be -2 + ((-68)/(-20) - p). Factor -3/5*n**3 + 1/5*n**2 + 1/5*n**5 + o*n + 0 - 1/5*n**4.
n*(n - 2)*(n - 1)*(n + 1)**2/5
Let x = 8 - 6. Let f(a) = -2*a + 3*a - 5*a**3 - 4 + 2*a**3 + 4*a**3 + 5. Let g(v) = -v**4 - 2*v**3 - v**2 + 4*v + 3. Let t(y) = x*g(y) - 2*f(y). Factor t(j).
-2*(j - 1)*(j + 1)**2*(j + 2)
Let d(l) = -14*l**2 + 4*l - 10. Let r(m) = 11*m**2 - 4*m + 9. Suppose -15 = 5*o + 5*t + 15, 2 = -o + 3*t. Let k(h) = o*r(h) - 4*d(h). Solve k(c) = 0 for c.
-5, 1
Let g be 18/15*((-1140)/(-24))/19. Let x(v) be the second derivative of 0*v**g + 0 - 1/54*v**4 + 0*v**2 + 31*v. Factor x(t).
-2*t**2/9
Let w(m) be the second derivative of -7*m**5/20 + 22*m**4/3 - 125*m**3/6 + 22*m**2 + 482*m - 3. Determine r, given that w(r) = 0.
4/7, 1, 11
Find n such that 4/3*n**4 - 880/3 + 16/3*n + 220*n**2 - 232/3*n**3 = 0.
-1, 2, 55
Determine o so that -4*o**2 + 12 + 636 - 151 - 1032*o + 539 = 0.
-259, 1
Suppose t + 31 = -3*z + 46, 4*t + 5*z - 25 = 0. Let b be (30 + -27)*(1 + t). Factor 12/7*i**2 - 2/7*i**b + 0 + 0*i.
-2*i**2*(i - 6)/7
Let s(b) be the second derivative of -b**7/21 + b**6/15 + 3*b**5/2 - 5*b**4/6 - 34*b**3/3 + 24*b**2 + 36*b + 8. Suppose s(h) = 0. Calculate h.
-3, -2, 1, 4
Let k(l) be the first derivative of 1/32*l**4 - 13/16*l**2 + 15/8*l - 1/8*l**3 + 8. Factor k(r).
(r - 5)*(r - 1)*(r + 3)/8
Let w(o) be the first derivative of -o**5/25 + 68*o**4/5 + 91*o**3/5 + 812. Factor w(q).
-q**2*(q - 273)*(q + 1)/5
Let l(x) = x**2 + 15*x + 13. Suppose -43*y = -38*y - 5. Let i(b) = -b - 2. Let g(w) = y*l(w) - i(w). Suppose g(h) = 0. What is h?
-15, -1
Let t be 742/106 - (-78)/(-12). Factor 30*h**2 + 600*h + 4000 + t*h**3.
(h + 20)**3/2
Let o be -4 - -3 - (-20220)/1092. Let t = -224/13 + o. Solve -8/7 + 0*x + t*x**2 = 0 for x.
-2, 2
Let -9*c - 5*c**4 - 1101052*c**3 - 1521*c + 775*c**2 + 1101812*c**3 = 0. Calculate c.
-2, 0, 1, 153
Let d(s) = -s + 7. Let j be d(5). Let 34950*p**j + 36*p**3 - 34798*p**2 + 24 + 72*p + 68*p = 0. Calculate p.
-3, -1, -2/9
Let p(f) = -5*f**2 - 20*f - 21. Suppose -8 = -4*d - 4*b, -b = 4*b - 15. Let w(q) = -1. Let c(u) = d*p(u) + 6*w(u). What is z in c(z) = 0?
-3, -1
Let w = 655/117 - -9/26. Let h = w - 31/9. Solve -h*u - 1/2*u**2 - 2 = 0 for u.
-4, -1
Suppose 145*k**3 + 14*k**5 - 80584 - 9*k**5 + 80544 - 215*k**2 - 45*k**4 + 150*k = 0. Calculate k.
1, 2, 4
Let u = -38860 - -77721/2. Factor -1/2*j**3 - u*j + 0 - j**2.
-j*(j + 1)**2/2
Factor -296 - 579 - 168*g + 2*g**2 - 224 + 209.
2*(g - 89)*(g + 5)
Let y(v) be the third derivative of 0 + 26*v**2 - 2*v + 1/450*v**5 + 0*v**3 - 1/180*v**4. Factor y(h).
2*h*(h - 1)/15
Let a = -711 - -715. Let j(m) be the first derivative of -8*m - 10/3*m**6 - 40/3*m**3 + 17 - a*m**4 + 18*m**2 + 48/5*m**5. Find n, given that j(n) = 0.
-1, 2/5, 1
Let i(u) be the third derivative of 0*u**3 - 8/105*u**5 + 13/588*u**8 + 0*u + 1 + 2*u**2 + 0*u**4 + 22/105*u**6 + 20/147*u**7. Factor i(n).
4*n**2*(n + 2)**2*(13*n - 2)/7
Let r(v) be the second derivative of v**6/120 - v**5/15 - v**4/24 + 2*v**3/3 - 47*v**2 + v - 8. Let k(h) be the first derivative of r(h). Factor k(n).
(n - 4)*(n - 1)*(n + 1)
Let c(t) be the third derivative of t**7/105 + 197*t**6/15 + 262*t**5/5 + 3450*t**2. Let c(u) = 0. What is u?
-786, -2, 0
Let q be (383/(-50))/(-1) + (-59)/59. Let v = 1/150 + q. Solve 1/6*l**4 + 11/2*l**2 + 8/3 - 5/3*l**3 - v*l = 0 for l.
1, 4
Let m = 135 - 73. Let u = 64 - m. Let -b**u + 2*b - 2*b - 3*b - 2*b**2 = 0. Calculate b.
-1, 0
Let a(n) be the first derivative of 2*n**3/3 + 19*n**2/3 - 248*n/3 - 4320. What is s in a(s) = 0?
-31/3, 4
Let v(b) be the second derivative of -b**6/90 + 7*b**5/3 - 1225*b**4/6 + 185*b**3/6 - 158*b. Let o(p) be the second derivative of v(p). Factor o(f).
-4*(f - 35)**2
Let d(z) be the second derivative of -1/4*z**2 - 7/120*z**6 - 23/80*z**5 - 9/16*z**4 - 3*z - 13/24*z**3 - 6. Factor d(h).
-(h + 1)**3*(7*h + 2)/4
Suppose -3*b = 6*g + 102, -b + 3*g - 106 + 167 = 0. Find z, given that 4/3 + 1/3*z - 13/6*z**2 - 1/6*z**3 + 5/6*z**b - 1/6*z**5 = 0.
-1, 1, 2, 4
