+ 8/(-14) + -27. Let s be 9 + (-3)/(t/(-85)). Factor -1/8*r - 1/2 + s*r**2 + 1/8*r**3.
(r - 1)*(r + 1)*(r + 4)/8
Let o = 173025/8939 - 90/1277. Suppose 3/7*m**3 + 129/7 + 261/7*m + o*m**2 = 0. Calculate m.
-43, -1
Let s = -81 + 85. Find w, given that -16*w**3 - 7*w**4 + w**s + 48*w + 8*w**2 - 36 + 2*w**4 = 0.
-3, 1
Let p(h) = 255*h**3 + 15*h**2. Let f(a) = -15*a**3 - a**2. Let y be 65/(-390) + 211/6. Let j(n) = y*f(n) + 2*p(n). Factor j(g).
-5*g**2*(3*g + 1)
Let w(p) be the first derivative of -p**4/2 + 56*p**3 - 165*p**2 + 164*p - 723. Factor w(c).
-2*(c - 82)*(c - 1)**2
Let q(j) be the third derivative of 3*j**8/112 - 11*j**7/7 + 87*j**6/20 + 2*j**5 - 177*j**4/8 + 35*j**3 - 2627*j**2 + 2*j. Determine y, given that q(y) = 0.
-1, 2/3, 1, 35
Let q be -14*(3 - 5)/4. Let o(u) = u**2 + 3*u - 40. Let c be o(q). Factor 11 + 12*r - c + 3*r**2 + 4.
3*(r - 1)*(r + 5)
Let u(n) = 3*n**3 + 29*n**2 + 220*n + 2323. Let w be u(-10). Determine g so that -529 - 1/4*g**2 + w*g = 0.
46
Let x(o) be the first derivative of o**4/14 - 76*o**3/21 - 323*o**2/7 + 720*o/7 + 13297. Suppose x(j) = 0. Calculate j.
-8, 1, 45
Factor 18 + 2*o - 8/3*o**2.
-2*(o - 3)*(4*o + 9)/3
Let -1/2*r**3 + 3*r**2 + 20*r + 0 = 0. Calculate r.
-4, 0, 10
Factor -30*q**2 + 66*q - 584*q + 390*q**2 + 5*q**3 - 302*q + 40*q**2.
5*q*(q - 2)*(q + 82)
Factor 133*v**3 - 55*v**2 - 40*v + 100 + 131*v**3 - 402*v**3 + 133*v**3.
-5*(v - 1)*(v + 2)*(v + 10)
Let n(b) be the third derivative of -b**8/5760 - b**7/315 - b**6/40 - 19*b**5/12 - 99*b**2. Let h(o) be the third derivative of n(o). Factor h(r).
-(r + 2)*(7*r + 18)/2
Determine w so that -w + 19/4*w**3 + 16 - 1/4*w**4 - 12*w**2 = 0.
-1, 2, 16
Let z(c) = -51*c**3 + 2*c**2 + 2*c. Let h be z(-1). Solve h*n**3 + 4*n**5 + 6*n - 61*n**3 - n + n**5 = 0.
-1, 0, 1
Let v(k) = k**2 + 788*k - 3084. Let c(j) = 40*j**2 + 32310*j - 126450. Let t(a) = 6*c(a) - 245*v(a). Factor t(z).
-5*(z - 156)*(z - 4)
Let z(j) be the third derivative of 2*j**7/105 + 11*j**6/6 - 56*j**5/15 - 2*j**2 + 70*j + 28. What is t in z(t) = 0?
-56, 0, 1
Let 2/9*d**2 + 4512008/9 - 6008/9*d = 0. Calculate d.
1502
Suppose -9*a - 1365 - 4539 = 0. Let z = a + 659. Solve 0 - 16/7*f**2 - 4/7*f**5 + 0*f**z + 12/7*f**4 + 0*f = 0 for f.
-1, 0, 2
Let x(o) be the second derivative of -o**5/70 + o**4/42 + o**3/21 - o**2/7 + 1493*o. Factor x(b).
-2*(b - 1)**2*(b + 1)/7
Suppose 9*x = -115*x + 248. Let n(q) be the second derivative of -10/3*q**3 - 13*q + 5/12*q**4 + 0 + 10*q**x. Factor n(a).
5*(a - 2)**2
Let g(f) = 4*f**3 - 16*f**2 + 8*f + 2. Let m(r) = -8*r**3 + 32*r**2 - 14*r - 5. Let s = 291 + -293. Let q(i) = s*m(i) - 5*g(i). Suppose q(n) = 0. What is n?
0, 1, 3
Determine a, given that -3*a**5 - a**5 - 112*a**2 - 302*a**4 - 52*a**3 + 182*a**4 - 246*a**3 + 70*a**3 = 0.
-28, -1, 0
Solve -v**4 - 400*v - 180*v**2 - 13*v**3 - 120*v**3 + 109*v**3 = 0 for v.
-10, -4, 0
Let c(m) = -17*m**4 - 24*m**3 - 46*m**2 + 33*m - 9. Let j(i) = -8*i**4 - 12*i**3 - 20*i**2 + 16*i - 4. Let x(f) = -4*c(f) + 9*j(f). Factor x(v).
-4*v*(v - 1)*(v + 1)*(v + 3)
Let i(b) be the third derivative of -b**5/150 - 11*b**4/10 + 67*b**3/15 + 197*b**2 + 7. Solve i(o) = 0 for o.
-67, 1
Let m(f) = f**3 - 10*f**2 - 122*f + 55. Let u be m(17). Factor -15*h + 0 - 138/5*h**3 + 36*h**2 - 3/5*h**5 + 36/5*h**u.
-3*h*(h - 5)**2*(h - 1)**2/5
Let i(p) be the first derivative of p**6/12 - 17*p**5/10 - 117*p**4/8 + 149*p**3/6 + 29*p**2 - 66*p + 5343. Determine o so that i(o) = 0.
-6, -1, 1, 22
Suppose 5*d - 3121 = 3*p, 0*d + d = -p + 621. Factor 608*w**2 - d*w**2 + 4*w + 2*w - 9*w**3.
-3*w*(w + 2)*(3*w - 1)
Let h(f) be the first derivative of f**5 + 265*f**4/4 + 1125*f**3 - 3645*f**2/2 + 1063. Suppose h(o) = 0. Calculate o.
-27, 0, 1
Let p(v) be the first derivative of v**4/26 + 8*v**3/3 - 229*v**2/13 - 560*v/13 - 8010. Factor p(l).
2*(l - 5)*(l + 1)*(l + 56)/13
Determine a, given that -44234*a + 22072*a - 344 + 2*a**2 + 21994*a = 0.
-2, 86
Let p(h) be the first derivative of 17 + 1/3*h**3 - 26*h + 25/2*h**2. Factor p(x).
(x - 1)*(x + 26)
Let k = 7797 - 7793. Let b(v) be the third derivative of 0 - 4/3*v**3 + 2/15*v**5 + 1/6*v**k - 1/30*v**6 + 0*v + 23*v**2. Factor b(f).
-4*(f - 2)*(f - 1)*(f + 1)
Let t(x) = 178*x**2 + 930*x - 13. Let n(i) = 182*i**2 + 936*i - 12. Let l(z) = -6*n(z) + 4*t(z). Factor l(u).
-4*(u + 5)*(95*u - 1)
Let h be 22/(-44)*(-6)/1. Factor 46*c**2 + 248*c + 2*c**2 - 2*c**h - 293*c - c**3.
-3*c*(c - 15)*(c - 1)
Let s be 46/(-250)*5/2 - 9/(-18). Let n(y) be the second derivative of s*y**5 + 3*y - 54/5*y**2 + 18/5*y**3 + 0 - 3/5*y**4. Factor n(c).
4*(c - 3)**3/5
Determine s, given that -183*s + 30960 - 3*s**2 + 30273 - 60657 = 0.
-64, 3
Let b(j) be the second derivative of -19/3*j**4 + 12*j**2 + 0 + 40*j + 6/5*j**5 + 2/3*j**3. Factor b(m).
4*(m - 3)*(2*m + 1)*(3*m - 2)
Suppose 0 = -5*k + 5*i + 235, 0*k = 3*k + 4*i - 120. Determine p, given that k*p**3 - 5*p + 15 - 6*p**2 - 9*p**2 - 39*p**3 = 0.
-1, 1, 3
Let f = -2 - -5. Suppose 288*r + 92*r = -67*r + 894. Suppose -35/4*x**f + 15*x - 45/4*x**r + 5 = 0. Calculate x.
-2, -2/7, 1
Let y(k) be the second derivative of k**4/24 - 1468*k**3/3 + 2155024*k**2 + 4236*k. Factor y(s).
(s - 2936)**2/2
Factor 982077*c + 1972098 - 2528*c**2 + c**3 - 521*c**2 + 1065*c**2.
(c - 993)**2*(c + 2)
Suppose -17*b + 41*b + 720 = 0. Let p be ((-8)/(-3))/(-4)*10/b. Factor p*r - 2/9*r**5 + 0*r**3 + 4/9*r**2 - 4/9*r**4 + 0.
-2*r*(r - 1)*(r + 1)**3/9
Let -262/5*h - 1/5*h**2 - 17161/5 = 0. Calculate h.
-131
Let y = -369 - -7013/19. Let r = 9288/87875 + -2/4625. Factor y*i + r*i**2 - 4/19.
2*(i - 1)*(i + 2)/19
Let r(h) = -h**2 + 35*h + 2. Let i be r(35). Suppose -5*s + d + 5 = 0, 0 = 2*s - d + 6*d - 2. Find w, given that -1 - 21*w**2 + 2 - w + 20*w**i + s = 0.
-2, 1
Let w(k) be the first derivative of 105 + 2/33*k**3 + 2/11*k + 2/11*k**2. Factor w(l).
2*(l + 1)**2/11
Determine v, given that 1452 + 225*v**5 + 12*v**2 - 746*v + 153*v + 305*v - 224*v**5 + 154*v**3 - 24*v**4 - 1307*v = 0.
-3, 1, 4, 11
Find u, given that 5/4*u + 1/4*u**2 - 63/2 = 0.
-14, 9
Let p be (0 + 7)*-8*(-5)/70. Let -6*k**3 + 58*k**5 + 5*k**4 - p*k**3 - 53*k**5 = 0. What is k?
-2, 0, 1
Let f(h) be the third derivative of -5*h**8/336 - 5*h**7/21 - h**6/4 + 8*h**5/3 + 235*h**4/24 + 15*h**3 - 173*h**2 + 2*h. Let f(t) = 0. Calculate t.
-9, -1, 2
Let r be ((-363)/45)/(-1) - (-19 + 837/31). Let s(m) be the first derivative of 0*m - r*m**3 + 2/15*m**6 + 3/10*m**4 - 9/25*m**5 - 4 + 0*m**2. Factor s(f).
f**2*(f - 1)**2*(4*f - 1)/5
Let z(w) = -21*w - 61. Let l = 823 - 826. Let g be z(l). Determine p, given that 9/4*p - 3/4*p**g - 1/4*p**3 + 27/4 = 0.
-3, 3
Suppose -5*o = 6*x - x, o - 4 = x. Let r be 1 + (0/x - (-12)/4). Factor -7*z**2 - 8*z**2 - 6*z - 3*z**r - 34*z**3 + 22*z**3.
-3*z*(z + 1)**2*(z + 2)
Suppose -3*k = -87 + 12. Determine z, given that -92*z**3 + 112*z**2 + 6591 - k*z**2 - 1521*z + 89*z**3 + 30*z**2 = 0.
13
Let c(b) be the third derivative of -b**5/12 + 3055*b**4/12 - 1866605*b**3/6 + b**2 + 65. Let c(h) = 0. Calculate h.
611
Let v(i) be the third derivative of i**7/8820 - i**6/630 - 8*i**5/105 - 17*i**4/4 - 130*i**2. Let x(d) be the second derivative of v(d). Factor x(c).
2*(c - 8)*(c + 4)/7
Let f(h) = -2*h**3 - 14*h**2 - 45*h - 82. Let c be f(-4). Factor 1/9*d - 1/9*d**3 + 1/3 - 1/3*d**c.
-(d - 1)*(d + 1)*(d + 3)/9
Suppose -4*z = 11 - 47. Let y be 5/((-2)/z + (-343)/(-126)). Factor 2*w + 8*w - 42 - 5*w**y + 57.
-5*(w - 3)*(w + 1)
Suppose -l + 3*g = -3, 2*l - 4*l + 2*g + 6 = 0. Suppose -20*j**l + 36 - 111*j - 14*j**3 + 46*j**3 - 86*j**2 - 49*j**2 = 0. What is j?
-1, 1/4, 12
Let s be 46/(-483) + 868/882. Find a, given that 0 + 8/3*a**2 + 4/9*a**5 - 20/9*a**3 + 0*a - s*a**4 = 0.
-2, 0, 1, 3
Let j(y) = -y**2 - 197*y - 579. Let s be j(-3). Let a(h) be the third derivative of 19*h**2 + 0 + 8/21*h**s - 1/105*h**5 + 0*h**4 + 0*h. Factor a(x).
-4*(x - 2)*(x + 2)/7
Let u(v) be the third derivative of -v**6/30 + v**5/3 + 13*v**4/6 + 14*v**3/3 - v**2 + 2520*v + 2. Determine i, given that u(i) = 0.
-1, 7
Let a(m) = -5*m**4 - 17*m**3 + 329*m**2 + 350*m + 6. Let u(s) = -5*s**4 - 18*s**3 + 331*s**2 + 350*s + 4. Let t(c) = -2*a(c) + 3*u(c). Factor t(k).
-5*k*(k - 7)*(k + 1)*(k + 10)
Let v(a) be the second derivative of 0 + 27/2*a**2 - 1/60*a**5 - 27/2*a**3 + 