Suppose 5*d + 4*n - 74 + 90 = 0, 0 = -2*d - 9*n - 36. Let s(j) be the second derivative of -8*j + 0*j**3 - 1/22*j**4 + d - 1/110*j**5 + 0*j**2. Factor s(z).
-2*z**2*(z + 3)/11
Let h = 977 + -3022/3. Let o = 49 + h. Solve 50/3*q**3 - 16/3*q**4 + o*q - 76/3*q**2 - 16/3 + 2/3*q**5 = 0.
1, 2
Let o be -2 + 7/(-1) - (1 + -5). Let h be ((-217)/(-112) + o)*-4. Find c, given that -7*c**4 + 0*c**2 + c**3 + 0*c + h*c**5 + 0 = 0.
0, 2/7
Let l be (1 - (-1)/4)/((-32)/(-128)). Solve -5*c**2 + 27*c + l*c**4 + 40*c**3 - 37*c - 30*c = 0.
-8, -1, 0, 1
Let g be (-33)/(-3) + (-4 - 2). Find u, given that 137*u**4 - 4*u**g - 176*u**4 + 13*u**3 + 10*u**2 - 11*u - 3 + 21*u**3 + 13*u**5 = 0.
-1/3, 1, 3
Let y(a) be the second derivative of a**6/40 - 27*a**5/40 + 79*a**4/16 + 9*a**3/4 - 30*a**2 - 972*a + 2. Find i, given that y(i) = 0.
-1, 1, 8, 10
Let h = -846332 + 846337. Suppose 10/3*y**h + 0 + 5/3*y**3 + 2*y**2 + 0*y - 7*y**4 = 0. What is y?
-2/5, 0, 1, 3/2
Let s(a) be the second derivative of -a**4/15 - 241*a**3/15 - 24*a**2 + 977*a. Factor s(n).
-2*(n + 120)*(2*n + 1)/5
Determine m, given that 102/11*m**3 + 64/11 - 192/11*m - 14/11*m**4 - 140/11*m**2 = 0.
-1, 2/7, 4
Let g = -107160 + 107164. Factor -1/2*a**2 - 4*a**3 + 0 + g*a + 1/2*a**4.
a*(a - 8)*(a - 1)*(a + 1)/2
Let n(p) be the second derivative of -9/2*p**3 + 3/20*p**5 - 1/4*p**4 + 27/2*p**2 + 0 + 99*p. Suppose n(l) = 0. Calculate l.
-3, 1, 3
What is d in -2*d**5 + 1472/3*d**3 - 284/3*d**2 - 1466/3*d - 196 + 872/3*d**4 = 0?
-1, -2/3, 1, 147
Let u be ((-140)/(-21))/(4/12). Factor u*a - 495*a**2 - 170*a + 640*a**2 + 45*a**3 - 40.
5*(a - 1)*(a + 4)*(9*a + 2)
Let q(w) = -76*w - 850. Let l be q(-11). Let a be ((-90)/(-60))/(l/(-8) - 1). Let -3/4*y**a + 0*y - y**3 + 0 = 0. Calculate y.
-3/4, 0
Find x, given that -276*x**4 + 4512*x**5 + 12278*x**3 + 4511*x**5 + 6766*x**3 - 13539*x**5 + 4517*x**5 = 0.
0, 138
Let h be (5 - 21)*(-1125)/600. Solve 2/3*x**2 - 12*x + h = 0 for x.
3, 15
Factor 7029*y**3 + 108*y + 7036*y**3 - 14061*y**3 + 108 + 36*y**2.
4*(y + 3)**3
Let p(h) = -15*h**2 + 1770*h - 70690. Let b(f) = -f**2 + 128*f - 5049. Let z(m) = 85*b(m) - 6*p(m). Factor z(d).
5*(d - 15)*(d + 67)
Let r(u) = u**2 - 3*u + 3. Let s be r(3). Factor -200 - g + 34*g**s + 26*g**3 - 61*g**3 + 18*g**2 - 59*g.
-(g - 10)**2*(g + 2)
Let z(t) be the first derivative of -4*t**3/3 + 2508*t**2 + 5020*t - 5926. Solve z(q) = 0 for q.
-1, 1255
Let u = -134 - -138. Suppose -9*p + 10 = -u*p. Solve 2 - 2*o**p - 2*o - 3*o - 6 + o**3 - 2*o = 0 for o.
-1, 4
Let n(c) = c**3 + c**2 + c. Suppose 10*y + 0*y = -20. Let m be 3/((-6)/4) - y*7. Let a(r) = 10*r**3 + 12*r. Let j(q) = m*n(q) - a(q). Factor j(u).
2*u**2*(u + 6)
Let b(k) be the third derivative of -k**7/1260 - k**6/9 - 20*k**5/3 + 19*k**4/8 + 89*k**2. Let f(c) be the second derivative of b(c). Solve f(h) = 0.
-20
Factor -1/5*l**2 - 27/5*l + 0.
-l*(l + 27)/5
Suppose -10*s = 191 - 393 + 202. Determine x so that -4/9*x**3 - 4/9*x**2 + s + 0*x = 0.
-1, 0
Let a(h) be the first derivative of h**4/4 + 3402*h**3 + 17360406*h**2 + 39373400808*h + 1490. What is y in a(y) = 0?
-3402
Let m(u) = -60*u**3 - 856*u**2 - 3194*u - 819. Let p(w) = -30*w**3 - 428*w**2 - 1600*w - 413. Let r(h) = -3*m(h) + 5*p(h). Factor r(v).
2*(v + 7)**2*(15*v + 4)
Let y(q) = 12*q**2 - 422*q + 3475. Let j = -112 + 119. Let u(s) = -8*s**2 + 282*s - 2317. Let b(h) = j*u(h) + 5*y(h). Factor b(r).
4*(r - 17)**2
Let u(a) be the second derivative of -a**8/840 + a**6/150 - a**4/60 + 33*a**2/2 - 5*a. Let m(o) be the first derivative of u(o). Factor m(l).
-2*l*(l - 1)**2*(l + 1)**2/5
Suppose -8*l = l + 6*l. Determine z, given that 57*z + 837 + 76*z + 3*z**2 - 927 + l*z**2 = 0.
-45, 2/3
Let i be ((-20)/8)/(5/(-3)). Let j(r) be the second derivative of r**3 + 0 - i*r**2 - r - 1/4*r**4. Determine u, given that j(u) = 0.
1
Find m such that -11*m**2 + 21*m**3 - 62*m**2 + 15*m**3 - 54 + 2 + 108*m - 18*m**3 - m**4 = 0.
1, 2, 13
Let 19/9 + 115/9*r + 2/3*r**2 = 0. Calculate r.
-19, -1/6
Let r(g) = -g**3 + 17*g**2 + 40*g - 35. Let c be r(19). Factor -75*z**3 - 34*z**2 + 48*z + 318*z**c - 182*z**2.
3*z*(9*z - 4)**2
Let a = 943957/7582 + 1/3791. Let k = -123 + a. Factor 0 + k*r**3 + 0*r**2 - 3/2*r**4 + 0*r.
-3*r**3*(r - 1)/2
Let c = -39 - -29. Let d = -5 - c. Suppose -3*b**3 + 7*b**3 - d*b + 2*b**3 - b**3 = 0. Calculate b.
-1, 0, 1
Let n = 536 + -534. Factor 2*k**n - 7*k + 92 + 3*k + 3*k - 7*k - 86.
2*(k - 3)*(k - 1)
Let m be 762/635 - 27/(-15). What is u in 408/5*u + 15*u**m + 144/5 + 69*u**2 = 0?
-3, -4/5
Let s = -831 - -846. Suppose -s*b - 23*b = -14*b. Factor 2/3*a**3 - 4/3 + b*a**2 - 2*a.
2*(a - 2)*(a + 1)**2/3
Let k(i) be the first derivative of 111/7*i**2 + 1/7*i**3 + 4107/7*i - 136. Factor k(a).
3*(a + 37)**2/7
Let g be 109 - 113 - 56/(-11). Let d be 235*(-6)/1320 + ((-10)/(-8) - 0). Factor -10/11 - g*i - d*i**2.
-2*(i + 1)*(i + 5)/11
Let h(d) be the first derivative of -d**3/18 + 301*d**2/2 - 271803*d/2 - 1199. Suppose h(q) = 0. What is q?
903
Let -82/9*p**3 + 32*p**2 + 6*p + 4/9*p**4 - 96 = 0. What is p?
-3/2, 3, 16
Let d(l) be the first derivative of -2*l**6/9 - 3*l**5 + 281*l**4/12 - 121*l**3/3 + 83*l**2/6 + 16*l - 2480. Find y such that d(y) = 0.
-16, -1/4, 1, 3
Let z(i) be the third derivative of -132*i**2 - 289/3*i**4 + 0*i**3 + 0*i - 1/60*i**6 + 0 - 34/15*i**5. Factor z(m).
-2*m*(m + 34)**2
Let m(u) = -5*u**4 - 65*u**3 - 115*u**2 - 35*u. Let f(t) = -t**4 - 2*t**3 - t**2 + 2*t. Let b(s) = 10*f(s) - m(s). Solve b(a) = 0 for a.
-1, 0, 11
Let -1042/7*f**2 + 82/7*f**4 + 960/7 + 8*f - 54/7*f**3 - 2/7*f**5 = 0. What is f?
-3, -1, 1, 4, 40
Suppose l = 2*j - 10, l - 5 = -j - 0*j. Factor -2*i**5 - 3*i**4 + 151*i**3 + 5*i**j - 157*i**3 + 0*i**5.
3*i**3*(i - 2)*(i + 1)
Determine j, given that 14/3*j**5 - 32/3*j**3 + 0*j + 0 - 8/3*j**2 - 10/3*j**4 = 0.
-1, -2/7, 0, 2
Let f = -633 + 625. Let k be ((-28)/(-105)*6)/(f/(-10)). Let -11/9*y + 7/9*y**k + 4/9 = 0. What is y?
4/7, 1
Let q(s) be the first derivative of -2/3*s**3 - 39/20*s**5 - 11/6*s**4 + 7 + 0*s - 7*s**2. Let j(v) be the second derivative of q(v). Solve j(u) = 0.
-2/9, -2/13
Let l(b) be the second derivative of b**6/50 - 53*b**5/25 + 60*b**4 + 864*b**3/5 - 111*b + 15. Factor l(m).
m*(m - 36)**2*(3*m + 4)/5
Let m(b) = -b - 9. Let d(x) = -x**2 - 2*x - 1. Let u be d(-4). Let c be m(u). Factor c*j + 1/4*j**3 + 0*j**2 - 1/4*j**5 + 0 + 0*j**4.
-j**3*(j - 1)*(j + 1)/4
Let w = 914 + -1849. Let a = 2813/3 + w. Factor 8/3*z + 2/3*z**2 + a.
2*(z + 2)**2/3
What is f in 688*f**3 - 14*f - 24 - 22*f + 6*f**2 - 667*f**3 - 3*f**5 = 0?
-2, -1, 2
Factor -396*z + 2*z**2 + 49 + 288 + 57.
2*(z - 197)*(z - 1)
Find k such that 210*k**3 - 1316*k - 3712183*k**4 + 450 + 280*k**2 + 3712093*k**4 + 461*k + 5*k**5 = 0.
-2, 1, 3, 15
Let j(a) be the third derivative of -a**6/60 - 33*a**5/10 - 216*a**4 - 2304*a**3 - 3395*a**2. Suppose j(c) = 0. What is c?
-48, -3
Let q(l) be the second derivative of -1/21*l**4 + 0*l**3 + 1/28*l**5 + 25*l - 1/210*l**6 + 0 + 0*l**2. Factor q(f).
-f**2*(f - 4)*(f - 1)/7
Let w(b) be the third derivative of 0 - 7/10*b**4 + 8*b**2 - 7*b + 0*b**3 - 1/75*b**5. Determine f so that w(f) = 0.
-21, 0
Let o(b) = 10*b - 36. Let i be o(4). Solve 55*x - 3 + 45 - 247*x + 36*x**i + 22 - 128*x**3 + 224*x**2 - 4*x**5 = 0.
1, 2
Factor 128/9 + 2/9*m**4 + 194/9*m**2 + 4*m**3 + 32*m.
2*(m + 1)**2*(m + 8)**2/9
Let b(o) be the first derivative of 3*o**5/5 + 21*o**4 + 209*o**3 + 363*o**2 - 1440*o + 11747. Solve b(j) = 0 for j.
-16, -10, -3, 1
Let m(i) be the first derivative of 8/3*i**2 - 2/15*i**5 + 0*i + 4/3*i**3 - 1/2*i**4 - 30. Suppose m(h) = 0. What is h?
-4, -1, 0, 2
Let q(b) be the third derivative of b**7/5670 - 2*b**6/405 + 7*b**5/270 + 55*b**4/12 - 11*b**2 + 2. Let a(r) be the second derivative of q(r). Factor a(j).
4*(j - 7)*(j - 1)/9
Let t = 6389 + -6385. Let y(b) be the first derivative of -1/9*b**3 + 1/12*b**t + 0*b**2 + 0*b + 1/15*b**5 - 1/18*b**6 + 7. What is q in y(q) = 0?
-1, 0, 1
Factor -22*m + 47*m**2 - 64*m - m**3 - 635 + 459 - 42*m.
-(m - 44)*(m - 4)*(m + 1)
Let b(u) = -u**4 + u**3 - u**2 - u. Let k(n) = 4*n**4 + 226*n**3 + 668*n**2 - 6*n - 888. Let v(r) = -2*b(r) - k(r). Solve v(p) = 0.
-111, -2, 1
Let f(g) be the second derivative of g**7/70 - 6*g**6/25 + 3*g**5/20 + 89*g**4/10 + 144*g**3/