(-30)). Suppose q = w*h - 2*q - 23, 6 = 2*h - 2*q. Factor -h*u**4 - 4*u**2 + 18*u**3 - 2*u**3 + 0*u**2.
-u**2*(u - 2)*(7*u - 2)
Suppose -2*j + 67 = -5*q, -3*j + 8*j + 3*q - 90 = 0. Suppose 5*m = 5*u + 20, -4*m - j + 29 = 4*u. Factor 5/4*k**2 - 3/4*k - 1/4*k**4 + 0 - 1/4*k**m.
-k*(k - 1)**2*(k + 3)/4
Let x = 390127/6 + -64717. Let c = -304 + x. Find i, given that 3/2 + 7/6*i**2 - 5/2*i - c*i**3 = 0.
1, 3
Let f be 27/(-36) + 879/(-108). Let a = 104/9 + f. Determine x so that 0 + 4/3*x**5 + 16/3*x - 4*x**3 - 16/3*x**2 + a*x**4 = 0.
-2, 0, 1
Suppose 153*f**2 - 69*f**3 - 81/2*f**4 - 225/2 + 141/2*f - 3/2*f**5 = 0. Calculate f.
-25, -3, -1, 1
Let r(b) be the second derivative of -369/10*b**5 + 0 - 301/10*b**6 - 19*b**4 - 84*b - 7*b**7 - 4*b**3 + 0*b**2. What is m in r(m) = 0?
-2, -1/2, -2/7, 0
What is c in 13/2*c**4 + 91/4*c - 71/2*c**2 - 23*c**3 + 1/4*c**5 + 29 = 0?
-29, -1, 1, 4
Let a(z) be the second derivative of -159*z + 8*z**3 - 48*z**2 + 0 - 5/8*z**4 + 3/160*z**5. Factor a(l).
3*(l - 8)**2*(l - 4)/8
Let q(z) be the second derivative of -z**5/4 + 80*z**4/3 + 910*z**3 + 6676*z. Factor q(n).
-5*n*(n - 78)*(n + 14)
Let m(l) be the second derivative of 4/3*l**3 + 21/5*l**5 + 2*l - 11 - 49/60*l**6 + 0*l**2 + 9/2*l**4. Determine r so that m(r) = 0.
-2/7, 0, 4
Let f(i) be the third derivative of i**5/12 + 425*i**4/24 - 890*i**3/3 + 11*i**2 + 4*i + 17. Factor f(v).
5*(v - 4)*(v + 89)
Let x(c) = -50*c**3 - 950*c**2 - 20865*c + 65. Let z(h) = -3*h**3 - 59*h**2 - 1304*h + 4. Let a(f) = 4*x(f) - 65*z(f). Factor a(n).
-5*n*(n - 20)*(n + 13)
Let t(a) be the second derivative of 3/10*a**5 + 1/20*a**6 + 0*a**2 + 5/8*a**4 + 1/2*a**3 - 39 + 2*a. Factor t(u).
3*u*(u + 1)**2*(u + 2)/2
Let l(r) be the first derivative of r**6/6 + 6*r**5/5 - 113*r**4/6 + 28*r**3 - r**2/2 - 2*r + 43. Let x(o) be the second derivative of l(o). Factor x(v).
4*(v - 3)*(v + 7)*(5*v - 2)
Factor 154*c**3 - c**5 - 141*c**3 - 69*c**2 - 45*c**2 - 24*c**4 - 114*c**3.
-c**2*(c + 2)*(c + 3)*(c + 19)
Let u = 1030072/5 + -206014. Find n, given that u*n + 0*n**2 + 2/5*n**5 + 0 - 4/5*n**3 + 0*n**4 = 0.
-1, 0, 1
Factor -603*b**2 + 363609*b + 1/3*b**3 - 73085409.
(b - 603)**3/3
Let j = -5/2593 - -2623/15558. Factor -1/6 + 0*u + j*u**2.
(u - 1)*(u + 1)/6
Let p(t) be the third derivative of t**8/672 - 13*t**7/420 - 3*t**6/40 + 13*t**5/30 + 7*t**4/6 - 122*t**2 - 2*t + 3. Suppose p(o) = 0. Calculate o.
-2, -1, 0, 2, 14
Let p(s) be the first derivative of 5*s**6/12 - s**5/2 - 45*s**4/8 - 55*s**3/6 - 5*s**2 + 13205. Factor p(g).
5*g*(g - 4)*(g + 1)**3/2
Let y(g) be the third derivative of g**5/75 + 14*g**4/15 + 46*g**3/3 + 17*g**2. Find f, given that y(f) = 0.
-23, -5
Let t(p) be the second derivative of 1/20*p**5 - 3 + 1/12*p**4 + 4*p**2 + 2*p - 5/3*p**3. Factor t(o).
(o - 2)*(o - 1)*(o + 4)
Let x(j) = -13*j**4 + 12*j**3 + 192*j**2 + 252*j + 44. Let m(u) = u**4 + u**3 - 2*u**2 + u + 1. Let v(f) = -4*m(f) - x(f). Factor v(i).
(i - 6)*(i + 2)**2*(9*i + 2)
Let n = 297 - 300. Let f be (-15)/(-45)*((-45)/4)/n. Factor 5/4*p**2 + f*p**4 - 15/4*p + 15/4*p**3 - 5/2.
5*(p - 1)*(p + 1)**2*(p + 2)/4
Let f be -30*(30/36 + -1). Suppose -f*m = -3*m - 4*o - 10, 4*m - o - 13 = 0. Factor 0 + 2/5*s - s**4 - 7/5*s**2 + 1/5*s**5 + 9/5*s**m.
s*(s - 2)*(s - 1)**3/5
Let o(m) = 14*m - 99. Let h be o(8). Factor -24*d - 38*d - h - 17 + 41*d - 3*d**2.
-3*(d + 2)*(d + 5)
Let b(s) be the third derivative of s**5/15 - s**4/8 - 17*s**3/6 + 3257*s**2. Let f(n) = -n**2 + 3 + 5 + 2*n - n**2. Let a(h) = -2*b(h) - 5*f(h). Factor a(d).
2*(d - 3)*(d + 1)
Suppose -8 + 458 = -10*x. Let n = x + 45. Factor -7/4*v**4 - 4*v**3 - 11/4*v**2 - 1/2*v + n.
-v*(v + 1)**2*(7*v + 2)/4
Let l be (-1)/(-6)*(-205)/(-164). Let z(a) be the second derivative of 14*a - 1/12*a**4 + 0 + l*a**3 - 1/4*a**2 + 1/80*a**5. What is j in z(j) = 0?
1, 2
Let o(h) be the first derivative of -18/7*h**2 - 1/21*h**4 - 26*h + 15 + 4/7*h**3. Let v(u) be the first derivative of o(u). Determine a, given that v(a) = 0.
3
Suppose -429189 - 797729 - 802010 = -131*n. Factor -2/11*x**3 - 24*x**2 - 1056*x - n.
-2*(x + 44)**3/11
Let d be (-1)/(-1)*0/82. Let f(h) be the third derivative of d + 3/20*h**4 - 29*h**2 - 2/75*h**5 + 0*h - 2/15*h**3. Factor f(z).
-2*(z - 2)*(4*z - 1)/5
Suppose 3*a - 100 = 5*c, 2*a + 29 - 95 = 3*c. Suppose 2*o + a - 38 = 0. Solve -1 + o*f + 8*f**2 - 6*f**2 - 5 = 0 for f.
-3, 1
Let o(m) be the third derivative of m**7/210 - m**6/16 + 7*m**5/120 - 1054*m**2 - 2*m - 1. Factor o(f).
f**2*(f - 7)*(2*f - 1)/2
Let m be 2090/12 + 72/(-108). Let v = 174 - m. Factor -1/4*q**3 - v*q**2 + 0 + 1/2*q**4 + 1/4*q.
q*(q - 1)*(q + 1)*(2*q - 1)/4
Suppose -r - 27 = -4*r. Suppose m + r = 2*t + 21, -2*t = -5*m + 44. Factor 4*f**2 - m*f**4 - 4*f**5 + 0*f**2 + 4*f + 2*f**2 + 2*f**2.
-4*f*(f - 1)*(f + 1)**3
Let i be 1 - (2/6)/((-24)/216). Let y(m) be the second derivative of 0*m**2 - 1/54*m**i + 0 - 2/27*m**3 - 25*m. Factor y(n).
-2*n*(n + 2)/9
Find a, given that 66 + 169 - 141 + 2*a**2 + 82*a + 266 = 0.
-36, -5
Let t(w) = -3*w**3 + 0*w**3 + 750 - 718 - 16*w**2 + 2*w**3 - 13*w. Let k be t(-15). Factor 3*v - 15*v**3 - 5*v**3 + v + 16*v**k.
-4*v*(v - 1)*(5*v + 1)
Factor -1/3*j**2 - 32 + 20/3*j.
-(j - 12)*(j - 8)/3
Let x(i) be the second derivative of 23*i + 30*i**2 - 35/6*i**3 + 5/12*i**4 + 0. What is l in x(l) = 0?
3, 4
Suppose 448 - 163 = 3*y. Determine m so that -44 - 580*m**2 + 70*m**2 + 440*m - 36 - y*m**2 = 0.
4/11
Let q be (-35)/(245/(-6))*(-224)/(-36). Find j such that -q + 2*j + 1/3*j**2 = 0.
-8, 2
Let k be (117/30 + -3)*1210/726. Factor -3/2 - k*y**2 - 4*y + y**3.
(y - 3)*(y + 1)*(2*y + 1)/2
Let c be (60/(-75))/(2/(-1585)) - 9. Let q(w) be the first derivative of 375/2*w**2 + 5/4*w**4 + c*w - 17 + 25*w**3. Factor q(y).
5*(y + 5)**3
Let m(r) = 10*r**3 + 111*r**2 - 353*r. Let h(z) = 6*z**3 + 58*z**2 - 176*z. Let o(g) = -7*h(g) + 4*m(g). Find f, given that o(f) = 0.
0, 9, 10
Let o(r) be the second derivative of r**5/120 + 13*r**4/9 - 35*r**3/12 + 2*r - 2276. Determine q so that o(q) = 0.
-105, 0, 1
Let m = -293466 - -293466. Factor m*a**3 + 0*a**2 - 1/2*a**5 + 0*a + 15/2*a**4 + 0.
-a**4*(a - 15)/2
Let o(m) be the third derivative of m**8/84 - 34*m**7/35 + 33*m**6/10 - 49*m**5/15 - 2*m**2 - 82*m. Let o(n) = 0. What is n?
0, 1, 49
Let a(u) be the first derivative of 2*u**3/45 + u**2/3 - 44*u/5 - 5824. Find t, given that a(t) = 0.
-11, 6
Let w(p) be the first derivative of p**5/540 - p**4/72 - p**3/3 - 130*p**2 - 239. Let z(c) be the second derivative of w(c). Factor z(q).
(q - 6)*(q + 3)/9
Let s(p) be the third derivative of -p**5/15 + 50*p**4 + 602*p**3/3 + 835*p**2. Suppose s(r) = 0. Calculate r.
-1, 301
Let s(k) be the first derivative of 21*k**4/10 + 88*k**3/15 - 164*k**2/5 - 32*k/5 + 1131. Factor s(n).
2*(n - 2)*(n + 4)*(21*n + 2)/5
Let v(y) be the first derivative of 0*y - 51/2*y**2 - y**3 + 37. Find u, given that v(u) = 0.
-17, 0
Let c(r) be the first derivative of 5*r**3/3 - 2385*r**2 - 9560*r - 10500. Factor c(x).
5*(x - 956)*(x + 2)
Let z(m) be the second derivative of m**6/150 - 2*m**5/25 - 71*m**4/60 + 13*m**3/5 + 90*m - 4. Let z(r) = 0. Calculate r.
-6, 0, 1, 13
Let f(z) be the second derivative of 1/4*z**4 + 31*z - 1/4*z**2 - 5/12*z**3 + 0. Factor f(l).
(l - 1)*(6*l + 1)/2
Let z be ((-2)/8 - (-37777)/10508) + -2. Let y = -60/71 + z. Let 0*t + y - 1/2*t**2 = 0. Calculate t.
-1, 1
Let p(a) = -a**3 + 4*a**2 - 4*a. Let g(c) = -2*c**3 + 946*c**2 - 220900*c - 445568. Let r(w) = 3*g(w) - 3*p(w). Factor r(m).
-3*(m - 472)**2*(m + 2)
Let s(v) = 1526*v - 3047. Let x be s(2). Let m(k) be the first derivative of 0*k**2 + 4/3*k**6 + 48 + 0*k**3 + 0*k + 28/5*k**x + 3*k**4. Factor m(f).
4*f**3*(f + 3)*(2*f + 1)
Factor -197720*y**2 + 16*y + 168 + 197722*y**2 + 22*y.
2*(y + 7)*(y + 12)
Let w(u) be the second derivative of -u**6/40 - 7*u**5/20 - 11*u**4/8 - 5*u**3/2 + 66*u**2 - 63*u - 1. Let o(h) be the first derivative of w(h). Solve o(d) = 0.
-5, -1
Let s(y) be the second derivative of y**6/120 + 9*y**5/20 + 349*y**4/48 + 99*y**3/4 + 35*y**2 - 1770*y. Factor s(v).
(v + 1)**2*(v + 14)*(v + 20)/4
Find x such that 150 + 4*x**2 + 582226*x - 582379*x - x**2 = 0.
1, 50
Let c(k) = 6*k**2 - 48*k - 256. Let t(y) be the second derivative of y**4/12 - 5*y**3/3 - 51*y**2/2 + 2*y + 11. Let j(i) = 6