 1/10*o**4 + 0*o**3 + 0*o**2 + 17*o + 0*o**a - 1/70*o**7 + 9/100*o**5. Factor c(m).
-3*m**2*(m - 1)**2*(m + 2)/5
Factor -18/11*j**4 + 2/11*j**5 + 0 - 32/11*j**2 + 0*j + 48/11*j**3.
2*j**2*(j - 4)**2*(j - 1)/11
Let u be 214/1*(-8)/((-128)/(-56)). Let k = u + 3781/5. Determine d, given that 2/5*d**3 + k + 16/5*d**2 + 42/5*d = 0.
-3, -2
Suppose h - 5*l = 34, -208*h - 26 = -210*h + 3*l. Let 0*v**3 + 2/9*v**h - 4/3*v - 14/9*v**2 + 0 = 0. What is v?
-2, -1, 0, 3
Suppose 3*k + 23 - 62 = 0. Suppose 5*i = -4*y + k, 5*i - i - 3*y + 2 = 0. Factor i + 20*f - 17 - 4*f**2 + 0.
-4*(f - 4)*(f - 1)
Let 1 + 219*y**3 - 267*y**3 + 4*y**4 + 48*y - 4*y**2 - 1 = 0. What is y?
-1, 0, 1, 12
Let n(y) = -y**3 - 21*y**2 - 51*y - 247. Let q be n(-19). Let 4/9*s**2 - 2/9*s**4 + 0*s - 2/9*s**3 + q = 0. Calculate s.
-2, 0, 1
Let h(f) be the second derivative of 104/11*f**3 - 193/66*f**4 + 0 + 13/55*f**5 - 1/165*f**6 + 161*f - 144/11*f**2. Factor h(x).
-2*(x - 12)**2*(x - 1)**2/11
Factor 7467947 + o**2 + 10383*o + 4*o**2 + 1797*o - 50327.
5*(o + 1218)**2
Let k(n) = 6*n**2 - 5456*n + 3726462. Let b(g) = -13*g**2 + 10911*g - 7452927. Let m(y) = -4*b(y) - 9*k(y). Suppose m(r) = 0. Calculate r.
1365
Factor -13*r - 49*r - r**3 - r**3 + 25*r**2 - 89*r**2 + 124 + 4*r.
-2*(r - 1)*(r + 2)*(r + 31)
Suppose 5*w = 5*i, 12*w - 7*w + i = 30. Suppose -145*v**5 + 278*v**5 + 263*v**4 - 5422*v**3 - 7770*v**2 + 307*v**4 - 1764*v - 147*v**w = 0. Calculate v.
-1, -2/7, 0, 21
Let v be 41/2 + 35/(-70). Factor -6*n**2 + n**2 - 24 + v*n - n**2 + 2*n**2.
-4*(n - 3)*(n - 2)
Suppose 3*u - 2*u = 2*h + 6, 6 = u - h. Let c be (20/u)/((-84)/(-126)). Find f such that 0 - 1/12*f**c + 0*f - 1/12*f**3 + 0*f**2 - 1/6*f**4 = 0.
-1, 0
Let s(r) = -r**3 - 17*r**2 + 38*r + 40. Let i be 1/((-8)/52 + (-75)/(-741)). Let c be s(i). Solve 48*a**2 + 0 - 32/3*a - c*a**3 - 100/3*a**4 = 0 for a.
-2, 0, 2/5
Let -21/2*k + 1/2*k**2 + 54 = 0. Calculate k.
9, 12
Let g be ((-40)/45)/((-1232)/3564). Let z(m) = -m**3 - 3*m**2 - m. Let r be z(-3). Factor -57/7*y - g + r*y**2.
3*(y - 3)*(7*y + 2)/7
Let l(x) be the second derivative of 3*x**5/20 - 35*x**4/4 + 116*x**3 - 648*x**2 - 516*x. Find c, given that l(c) = 0.
4, 27
Let -96/5*l**2 + 192 - 78/5*l**3 + 2/5*l**4 + 616/5*l = 0. Calculate l.
-2, 3, 40
Factor -16/3*x**2 - 2/3*x**3 + 160/3 + 56/3*x.
-2*(x - 4)*(x + 2)*(x + 10)/3
Let k(x) be the first derivative of 14*x**2 - 12*x + x**4 - 20/3*x**3 - 21. Find b such that k(b) = 0.
1, 3
Let m(f) = -f**3 - f**2 - 8*f. Let w(l) = 400685*l**3 + 403217*l**2 + 2504*l + 4. Let t(d) = -4*m(d) + w(d). Solve t(q) = 0 for q.
-1, -2/633
Let m(n) = -174*n - 3480. Let l be m(-20). Let v(k) be the third derivative of l*k**5 + 1/28*k**4 + 0 + 2/21*k**3 - 23*k**2 - 1/420*k**6 + 0*k. Factor v(d).
-2*(d - 2)*(d + 1)**2/7
Let -496/5 - 1/5*z**2 + 50*z = 0. What is z?
2, 248
Suppose 352/3*t**3 - 4/3*t**4 + 1832/3*t + 484*t**2 + 736/3 = 0. What is t?
-2, -1, 92
Let z(y) be the second derivative of -y**7/14 + 3*y**6/5 - 39*y**5/20 + 3*y**4 - 2*y**3 - 574*y + 2. Determine p so that z(p) = 0.
0, 1, 2
Let u(c) = -6*c**2 - 4*c + 9*c**4 - 11*c**3 + 8*c**3 - 4*c**4 - 3. Let i(r) = -3*r**4 + 4*r**3 + 7*r**2 + 4*r + 2. Let x(k) = 3*i(k) + 2*u(k). Factor x(g).
g*(g + 1)**2*(g + 4)
Solve -v**3 + 484*v**2 + 805*v + 833*v - 1638*v = 0.
0, 484
Suppose 5*b = 4*b + 2. Let 5*v**5 + 14*v + 17*v**b - 119*v + 90 + 24*v**3 - 40*v**4 - 67*v**2 + 76*v**3 = 0. Calculate v.
-1, 1, 2, 3
Let i(h) be the second derivative of -h**5/5 + 5*h**4 - 94*h**3/3 + 66*h**2 - 4667*h. Factor i(m).
-4*(m - 11)*(m - 3)*(m - 1)
Let w(h) be the second derivative of h**6/10 - 12*h**5/5 + 15*h**4/4 - 1161*h. Suppose w(q) = 0. Calculate q.
0, 1, 15
Let n(b) be the third derivative of b**5/390 - 25*b**4/78 + 37*b**3/3 - 20*b**2 - 139*b. Factor n(m).
2*(m - 37)*(m - 13)/13
Let u be 8/((816/80 - 10)/((-2)/(-20))). Suppose -6/7*k**3 + 3/7 + 0*k**2 - 3/7*k**u + 6/7*k = 0. Calculate k.
-1, 1
Let x = 1627739/3 - 542579. Factor 0 - x*z**4 + 10/3*z**3 - 14/3*z**2 + 2*z.
-2*z*(z - 3)*(z - 1)**2/3
Let f = -586902 - -4108330/7. Let -4/7*u**2 + 2/7*u**3 + f - 8/7*u = 0. What is u?
-2, 2
Let s(v) be the second derivative of -1/78*v**4 + 0 + 74*v + 0*v**2 + 1/195*v**6 - 1/39*v**3 + 1/130*v**5. Suppose s(i) = 0. Calculate i.
-1, 0, 1
Factor -636/11 + 206/11*f + 2/11*f**2.
2*(f - 3)*(f + 106)/11
Let s(k) be the first derivative of k**6/27 - 26*k**5/45 + 19*k**4/18 + 290*k**3/27 + 176*k**2/9 + 128*k/9 + 1256. Determine z, given that s(z) = 0.
-1, 8
Let w(y) = -3*y**2 - 4*y + 46. Let d be w(-5). Let g be d/(-15) + (287/(-70) - -4). What is r in -1/2 - r - g*r**2 = 0?
-1
Let m(p) = -p + 11. Let z be m(10). Determine h, given that -5/3*h + 7/9*h**2 - 1/9*h**3 + z = 0.
1, 3
Suppose -280*x**3 + 845*x**3 - 286*x**3 - 280*x**3 - x**4 + 6*x**2 = 0. Calculate x.
-3, 0, 2
Let k(i) = i**3 + 5*i**2 - 3. Suppose 0 = -4*j - 3*n - 0*n + 5, -3*j + 4*n = -35. Let a(v) = -v**3 - 9*v**2 + 5. Let t(d) = j*k(d) + 3*a(d). Factor t(f).
2*f**2*(f - 1)
Suppose -102956 = -4*n + i - 102956, -n + i - 9 = 0. Factor 7/4*x**4 - 1/4*x**5 - x + 0 - 15/4*x**n + 13/4*x**2.
-x*(x - 4)*(x - 1)**3/4
Factor 536/3*l**3 + 5639216/3*l + 1/3*l**4 + 31862*l**2 - 5735339/3.
(l - 1)*(l + 179)**3/3
Suppose -90 = 316*u - 331*u. Suppose 12 = -8*c + 11*c - 4*o, -c - 2*o - u = 0. Factor 0*h - 2/7*h**4 + c*h**2 + 0 - 2/7*h**3.
-2*h**3*(h + 1)/7
Let b(a) be the second derivative of -a**6/90 - 19*a**5/60 - 16*a**4/9 - 10*a**3/3 + 3*a - 643. Factor b(o).
-o*(o + 2)**2*(o + 15)/3
Let a = 735 + -729. Factor -a - 12 - 8*h + h**2 - 15.
(h - 11)*(h + 3)
Let c = 670 - 630. Suppose c*u**2 + 0*u**3 + 180 - 8*u**2 + 3*u**2 + 20*u**2 + 5*u**3 + 180*u = 0. Calculate u.
-6, -3, -2
Let 95/2*k**4 + 365/2*k + 275*k**2 + 91/2 + 185*k**3 + 1/2*k**5 = 0. Calculate k.
-91, -1
Suppose 4*t + 2*j - 32 = -2*j, t = -5*j + 24. Factor -12*x - 132*x + 2*x**5 - 26*x**t + 86*x**3 + 162*x**2 - 192*x**2.
2*x*(x - 8)*(x - 3)**2*(x + 1)
Let t(k) = 8*k**3 + 114*k + 115*k + 51*k - 383 + 113*k**2. Let d(p) = -4*p**3 - 56*p**2 - 140*p + 192. Let j(g) = 9*d(g) + 4*t(g). Factor j(q).
-4*(q - 1)*(q + 7)**2
Let n(o) = 218*o - 1744. Let v be n(8). Let j(w) be the first derivative of -17 - 1/3*w**2 + v*w - 2/9*w**3. Find h such that j(h) = 0.
-1, 0
Let z(f) be the third derivative of -1/96*f**8 + 0*f + 1/16*f**6 - 7/12*f**4 + 0 - 11/24*f**5 + f**3 + 23/420*f**7 - 175*f**2. Solve z(j) = 0 for j.
-1, 2/7, 2, 3
Factor 10 + 50 + 66*a**2 + 123*a + 945*a**3 - 310*a**3 - 318*a**3 - 314*a**3.
3*(a + 1)**2*(a + 20)
Let x be ((-3)/(-4))/(0 - 5/(-40)). Let -18*l**3 + 2*l**2 - 14*l**2 + x*l**3 + 14*l**3 = 0. What is l?
0, 6
Let p(u) be the first derivative of -u**5/150 - 13*u**4/30 - 169*u**3/15 + 87*u**2/2 + 87. Let z(q) be the second derivative of p(q). Factor z(a).
-2*(a + 13)**2/5
Let l(j) be the second derivative of 97 + 2*j + 375/8*j**2 - 1/16*j**5 - 275/24*j**3 + 65/48*j**4. Let l(o) = 0. Calculate o.
3, 5
Let m(l) be the third derivative of -l**5/300 - l**4/10 + 14*l**3/15 - 2063*l**2. Let m(j) = 0. What is j?
-14, 2
Let w(i) be the second derivative of i**6/120 - 9*i**5/8 - 97*i**4/48 + 91*i**3/4 + 8927*i. Factor w(n).
n*(n - 91)*(n - 2)*(n + 3)/4
Let p(m) be the first derivative of -2*m**3/27 - 28*m**2/9 + 62*m/3 + 158. Factor p(r).
-2*(r - 3)*(r + 31)/9
Let i(k) be the first derivative of 50*k**6/21 + 8*k**5 - 1331*k**4/7 - 24368*k**3/21 - 8440*k**2/7 - 3200*k/7 + 4531. Let i(v) = 0. What is v?
-5, -2/5, 8
Let i(r) = -r**4 - 234*r**3 - 2808*r**2 - 9290*r - 6670. Let a(z) = 116*z**3 + 1404*z**2 + 4644*z + 3338. Let x(k) = -5*a(k) - 2*i(k). Factor x(m).
2*(m - 67)*(m + 1)*(m + 5)**2
Let b(o) = -7*o**3 + 15*o**2 + 67*o + 105. Let u(k) = 2*k**3 - 2*k**2 - k - 7. Let m(a) = b(a) + 3*u(a). Factor m(i).
-(i - 14)*(i + 2)*(i + 3)
Factor -2/5*x**2 - 464/5 + 236/5*x.
-2*(x - 116)*(x - 2)/5
Let s be -5*24/(-5) + -2. Find f such that -2*f**3 + 5 + 14 - 15*f**2 - 4 - s*f = 0.
-5, -3, 1/2
Let k(d) be the second derivative of -3*d**5 + 163*d**4/4 - 172*d**3 + 72*d**2 + 1863*d + 1. Let k(j) = 0. Calculate j.
3/20, 4
Let g(k) be the first derivative of -1/4*k**3 - 61 + 27/4*k - 3*k**2. Determine r so that g(r) = 0.
-9, 1
Let l be (78/76 - 1)*154/(-22). Let k = 325/114 + l. Let 14/3*v**2 - 16/3*v**4 - 2/3*v**3 - k*v**5 + 2/3 + 10/3*v 