)
Let u be 325/(-26)*4/(-5). Determine f, given that 0 + 6992*f**3 - 10*f**2 + u - 6997*f**3 + 5*f = 0.
-2, -1, 1
Let y(z) = 24*z**3 - 88*z**2 + 106*z - 52. Let v(u) = -5*u**3 - 11*u - 10*u + 8*u**2 + 10 - 6*u**2 + 16*u**2. Let g(i) = 14*v(i) + 3*y(i). Factor g(n).
2*(n - 2)**3
Let k(r) = -20*r**4 + 155*r**3 + 95*r**2 - 105*r - 150. Let h(a) = a**4 - a**3 + a**2 - a + 1. Let f(c) = -25*h(c) - k(c). Solve f(u) = 0.
-25, -1, 1
Let a(s) = -4*s + 30. Let n be a(-20). Factor -11 - 583*m**4 + n*m**3 + 5*m**5 + 60 + 518*m**4 + 10*m**2 + 6 - 115*m.
5*(m - 11)*(m - 1)**3*(m + 1)
Let b(c) be the first derivative of 2/35*c**5 + 38/21*c**3 - 9/7*c**2 - 11/14*c**4 - 35 + 0*c. Factor b(z).
2*z*(z - 9)*(z - 1)**2/7
Let t be 224/(-447) - ((-102)/12)/17. Let m = 224/447 + t. Solve 2*l**2 - m*l**5 - 3*l**3 + 2*l**4 + 0 - 1/2*l = 0 for l.
0, 1
Suppose 61 + 65 = 3*s. Suppose 2 = 2*r - s. Let -22*i**3 + r*i**4 + 42*i**3 - 4*i - 8*i**2 + 2*i**4 = 0. Calculate i.
-1, -1/3, 0, 1/2
Let h = -1417 - -916. Let p = h - -501. Factor -32/7 + p*k + 1/7*k**3 + 6/7*k**2.
(k - 2)*(k + 4)**2/7
Let y(b) be the second derivative of b**5/45 + 635*b**4/9 + 806450*b**3/9 + 512095750*b**2/9 - 2*b - 35. Factor y(q).
4*(q + 635)**3/9
Factor 219*h**2 - 94*h**3 + 3888 + 44*h**3 + 47*h**3 - 4104*h.
-3*(h - 36)**2*(h - 1)
Let m(q) be the second derivative of q**4/21 - 46*q**3/21 + 152*q**2/7 - 6372*q. Factor m(d).
4*(d - 19)*(d - 4)/7
Let j(m) be the second derivative of 2*m**6/15 + 4*m**5 + 47*m**4/3 - 136*m**3/3 - 7*m - 48. Factor j(i).
4*i*(i - 1)*(i + 4)*(i + 17)
Let l be 10*(6/(-42) + 8/7). Factor 3*v + 5*v**3 - 2*v - v - l*v**2.
5*v**2*(v - 2)
Suppose -3*m - 15 - 57 = 0. Let b be 16/m*(-6)/4. Find r, given that -5*r**3 + 9*r**2 + 3*r**3 - r**2 - 5*r**2 - b = 0.
-1/2, 1
Let f(k) = -k**3 - 8*k**2 + 472*k - 1105. Let n be f(-27). Solve -22/5*c + 0 - 1/5*c**n = 0.
-22, 0
Suppose -2*y**2 + 87*y + 1950*y + 9475 + 419*y - 45884 - 717583 = 0. What is y?
614
Find r such that 4735 - 5*r**2 + 6*r**2 - 4978 + 13*r - 255*r = 0.
-1, 243
Let h(z) be the third derivative of -z**7/42 + 5*z**6/24 - 7*z**5/12 + 5*z**4/8 + 2274*z**2. Let h(m) = 0. Calculate m.
0, 1, 3
Suppose 7*d + 42 - 28 = 0. Let h be 8 + (-3)/(3/d - -3). Let 3 - 30*o**3 - h*o**2 + 53*o**3 + o**5 - 2*o - 25*o**3 + 3*o + 3*o**4 = 0. What is o?
-3, -1, 1
Factor -18*t**3 + 69*t**3 - 16*t**3 + 308*t**2 - 18*t**3 + 632*t - 21*t**3.
-4*t*(t - 79)*(t + 2)
Let 2197*w + 4*w**2 + 4473225 - 3*w**2 - 1107*w + 3140*w = 0. Calculate w.
-2115
Let u(c) be the first derivative of -c**6/40 + 7*c**4/8 + 3*c**3 + 33*c**2/2 - 162. Let a(n) be the second derivative of u(n). What is b in a(b) = 0?
-2, -1, 3
Let k = 262 - 305. Let r be 1/(-4) - (-7)/((-308)/k). Solve -14/11*g**2 + 6/11*g + r = 0 for g.
-4/7, 1
Determine k, given that -64*k**2 - 84 + 995*k**3 - 2037*k**3 + 1004*k**3 - 202*k - 2*k**4 - 90*k**2 = 0.
-14, -3, -1
Let g be ((-6)/30)/((-13)/195). Factor 1 - d**4 - 7*d**3 - 18*d**2 + 4*d**g + 26 + 3*d**3 + 8*d**3.
-(d - 3)**3*(d + 1)
Let z = -66028 + 66032. Let r be (-3)/3*4/(-7). Factor 2/7*c**2 + r*c**3 + 0 - 4/7*c - 2/7*c**z.
-2*c*(c - 2)*(c - 1)*(c + 1)/7
Let o(c) be the third derivative of c**5/210 + 5*c**4/84 + 4*c**3/21 - 2750*c**2. Find x, given that o(x) = 0.
-4, -1
Let n = -86902 + 86905. Determine d so that 20/3*d**n + 20/3*d**2 + 2/3 + 10/3*d**4 + 10/3*d + 2/3*d**5 = 0.
-1
Let x = -69 - -87. Find n, given that -5*n**2 - x*n - 5*n + 10 + 18*n = 0.
-2, 1
Let h = 65/276 - -1/69. Let p = 37/12 + h. What is w in 0 - p*w**3 + 0*w + 4/3*w**2 = 0?
0, 2/5
Suppose 0*o**5 + 0*o**5 - 121*o**2 + 24*o**4 + 184*o**2 - 45*o**2 + 3*o**5 + 39*o**3 = 0. Calculate o.
-6, -1, 0
Suppose 37 - 31 = -3*m. Let g be (-651)/(-49) + m/7. Factor 407*w + 9*w**2 + 84*w**2 - g*w**2 - 7*w + 4*w**3.
4*w*(w + 10)**2
Let h(m) = -m**2 - m. Let p(j) be the second derivative of -j**5/10 + 17*j**4/12 - 17*j**3/6 + 6*j**2 + 74*j. Let x(l) = 5*h(l) + p(l). Let x(n) = 0. What is n?
1, 2, 3
Let l be (-11040)/(-1932)*(-84)/(-285). Let o = -11429 + 217247/19. Solve -2/19*p**5 - 112/19*p**2 - l - 64/19*p**3 - 18/19*p**4 - o*p = 0 for p.
-2, -1
Let k = 5 + 4. Let f(q) = 89*q + 3296. Let m be f(-37). Factor -k*c - 9/2*c**m - 3/4*c**4 - 3 - 39/4*c**2.
-3*(c + 1)**2*(c + 2)**2/4
Let i = 16007 - 16003. Let a(l) be the second derivative of -1/2*l**2 + 0 - 1/12*l**3 + 1/40*l**5 + 30*l + 1/12*l**i. Factor a(r).
(r - 1)*(r + 1)*(r + 2)/2
Let c(t) be the second derivative of t**5/10 - 489*t**4/2 + 239121*t**3 - 116930169*t**2 + 335*t + 2. Factor c(u).
2*(u - 489)**3
Let h(n) be the third derivative of 1/60*n**5 - 1/600*n**6 + 0*n + 0 + 8/15*n**3 + 39*n**2 + 11/60*n**4. Factor h(d).
-(d - 8)*(d + 1)*(d + 2)/5
Let o(g) be the third derivative of g**7/525 + 17*g**6/150 + 34*g**5/15 + 106*g**4/5 + 96*g**3 + 3*g**2 - 284. Find a, given that o(a) = 0.
-20, -6, -2
Let m be -2*(1 - 2 - (-7 + 7)). Solve -4 - 32*v**3 + 20*v**4 - 44*v - 4*v**4 + 52*v**5 - 40*v**5 - 4 - 72*v**m = 0.
-1, -1/3, 2
Solve 1/2*n**4 + 27*n**2 + 335/8*n + 51/8*n**3 + 75/4 = 0.
-5, -2, -3/4
Suppose -51*w - h = -55*w - 1, -5*w = 2*h - 28. Factor 2/15*s**3 + 4/15*s - 2/5*s**w + 0.
2*s*(s - 2)*(s - 1)/15
Let o be (-5)/3 - 11/33 - -81. Let w = o - 86. Let x(h) = -h**4 + 16*h**3 + 4*h. Let y(t) = -t**4 + 31*t**3 + 7*t. Let s(l) = w*x(l) + 4*y(l). Factor s(b).
3*b**3*(b + 4)
Determine j so that 15*j**4 + 0 - 24*j + 45/2*j**3 - 15*j**2 + 3/2*j**5 = 0.
-8, -2, -1, 0, 1
Let v = -2/16687 - -233636/150183. Let 176/9*m**3 - 10/9*m**5 - v*m**4 + 592/9*m**2 + 608/9*m + 160/9 = 0. What is m?
-2, -2/5, 5
Let x be ((-348)/290 + 1)/(-2*4/8). Factor 529/5*g**2 + 46/5*g + x.
(23*g + 1)**2/5
Let h(z) be the second derivative of 7*z**5/10 + 167*z**4/12 + 82*z**3 - 18*z**2 - 121*z - 1. Factor h(n).
(n + 6)**2*(14*n - 1)
Suppose 55*n - 43*n = -1728. Let v be n/16 + 110/12. Factor 1/6*a**4 + 5/6*a - 1/3 - v*a**3 - 1/2*a**2.
(a - 1)**3*(a + 2)/6
Let v = -887 - -898. Suppose r = 3*t, 0 = -v*r + 15*r + 5*t - 17. Suppose -36/5 + 12/5*x**4 + 24/5*x**r - 84/5*x - 8*x**2 - 4/5*x**5 = 0. Calculate x.
-1, 3
Suppose -1000/7 - 2/7*h**5 - 22/7*h**4 + 230/7*h**2 - 38/7*h**3 + 400/7*h = 0. Calculate h.
-5, 2
Suppose -5*y + 5*z = -70, 9*y + 0*y = -5*z + 14. Let l(g) be the first derivative of -24*g**5 + 0*g**2 - 55/6*g**6 - y - 5*g**4 + 0*g**3 + 0*g. Factor l(r).
-5*r**3*(r + 2)*(11*r + 2)
Let u be 4/26 + 13/(3042/1134). Let c(f) be the first derivative of -6*f + 1/2*f**6 - 2*f**3 + 3*f**4 - 15 - 15/2*f**2 + 12/5*f**u. Factor c(o).
3*(o - 1)*(o + 1)**3*(o + 2)
Suppose 8*p = 4*p + 8, 5*w = -5*p + 570. Let i = w - 65. Factor -23*f**3 + 12*f**4 - 43*f**2 + 3*f**3 + i*f**2 + 36*f**5.
4*f**2*(f + 1)*(3*f - 1)**2
Let q = 568 + -562. Let t be q/16 + 235/120. Let -t*h**3 - 4/3*h**4 - 2/3*h**2 + 1/3*h + 0 = 0. What is h?
-1, 0, 1/4
Suppose -60*h + 434*h = 699*h + 1191*h. Factor h - 2/3*v**2 + 16/3*v.
-2*v*(v - 8)/3
Let v = 158080 + -1106558/7. Factor -4/7 - v*l**2 - 6/7*l.
-2*(l + 1)*(l + 2)/7
Let g(v) = 26*v**2 - 55*v + 127. Let c(s) = 9*s**2 - 18*s + 42. Suppose 11*j - 91 = 96. Let w(q) = j*c(q) - 6*g(q). Factor w(h).
-3*(h - 4)**2
Let i = -68600 - -274401/4. Determine l so that i - 1/2*l**3 - 1/4*l**4 + 0*l**2 + 1/2*l = 0.
-1, 1
Let f = 1126340 - 1126338. Factor -454/5*w - 2336/5*w**3 + 128/5*w**4 - 38/5 - 360*w**f.
2*(w - 19)*(4*w + 1)**3/5
Let w = 24 + -21. Suppose 0 = 5*z - 0*z - 2*l - 17, w*l = 12. Let -2*c - 394*c**4 + 394*c**4 - 2*c**z + 4*c**3 = 0. What is c?
-1, 0, 1
Let p(y) = -y**3 - 70*y**2 - 67*y + 138. Let j(t) = -t**3 - 35*t**2 - 32*t + 68. Let u(k) = 11*j(k) - 6*p(k). Solve u(g) = 0 for g.
-2, 1, 8
Let a = 5228698/17 + -307570. Suppose -a*z**2 + 78/17*z + 20/17 = 0. What is z?
-1/4, 10
Let p be (-5)/(-180)*171/228. Let g(w) be the second derivative of -23*w + 0 + 0*w**3 + 1/8*w**2 - p*w**4. Determine q so that g(q) = 0.
-1, 1
Factor -1074*v - 4*v**2 + 121 + 4138*v + 2947.
-4*(v - 767)*(v + 1)
Let u(t) be the second derivative of -1/18*t**4 - 32 + 1/120*t**5 + 1/12*t**3 - 5*t + 0*t**2. Suppose u(x) = 0. Calculate x.
0, 1, 3
Let c(g) be the third derivative of -7*g**6/40 + 1273*g**5/80 + 43*g**4/2 + 23*g**3/2 - 4554*g**2. Solve c(n) = 0 for n.
-2/7, -1/4, 46
Let q(v) = 18*v**2 - 2*v - 1. Let j be q(1). Suppose -j - 13 = -7*a. Factor 2*h**2 + 8*h**2 - 16*h**2 -