i**3 - 34/3*i**4 - 38/3*i**2 - 20/9*i = 0.
-5, -1, -2/7, 0
Let x(y) be the third derivative of y**6/100 - 221*y**5/150 - 53*y**4/6 - 152*y**3/15 - y**2 - 860*y. Factor x(q).
2*(q - 76)*(q + 2)*(3*q + 1)/5
Let k be 135/270 + (-5)/30. Determine g so that -2/3*g + 0 + k*g**3 - 1/3*g**2 = 0.
-1, 0, 2
Factor -2/11*u**3 - 62/11*u - 42/11 - 2*u**2.
-2*(u + 1)*(u + 3)*(u + 7)/11
Let x(s) be the second derivative of s**7/126 - 11*s**6/90 + 3*s**5/10 - 323*s. Factor x(u).
u**3*(u - 9)*(u - 2)/3
Suppose 21 + 119 = 5*a. Factor -10*n - 48 - 3*n**2 - a*n + 62*n.
-3*(n - 4)**2
Solve 51*o**3 + 188/3*o**2 + 37/3*o + 2/3 = 0.
-1, -2/17, -1/9
Solve -31/3*z**2 + 25/3*z**3 + 0 + 2*z = 0 for z.
0, 6/25, 1
Suppose -y + 2 + 13 = 0. Let k(t) = -t + 20. Let r be k(y). Solve 2/3*f**r - 20/3*f**2 + 20/3*f**3 - 10/3*f**4 + 10/3*f - 2/3 = 0.
1
Let x(d) be the third derivative of -d**5/20 - 35*d**4/12 - 23*d**3/6 + 248*d**2. Suppose x(k) = 0. Calculate k.
-23, -1/3
Factor -74*o - o**2 - 17*o**2 + 390 - 12*o**2 + 3*o**3 - 73*o.
3*(o - 13)*(o - 2)*(o + 5)
Determine w, given that 5*w**4 - 75*w**2 - 80 - 96*w - 28*w + 10*w**3 - 36*w = 0.
-4, -1, 4
Suppose 2*v = -2*f - 4, 9*v = 13*v - f - 22. Suppose -2/3 - 2*y**3 + 3/2*y**v - 5/6*y**2 + 2*y = 0. What is y?
-1, 2/3, 1
Let q = 17183/16 + -17147/16. Factor -3/4*x**5 - 3*x**2 - 3*x + 3/2*x**4 + q*x**3 + 0.
-3*x*(x - 2)**2*(x + 1)**2/4
Let y(b) = 404*b**2 + 130*b - 36. Let t(a) = 115*a**2 + 37*a - 10. Let w(l) = -36*t(l) + 10*y(l). Factor w(d).
-4*d*(25*d + 8)
Let o(m) = 75*m**3 - 1674*m**2 - 3519*m - 1770. Let f(q) = 11*q**3 - 239*q**2 - 503*q - 253. Let n(t) = -27*f(t) + 4*o(t). Solve n(g) = 0 for g.
-1, 83
Let 13/5*q**4 - 1/5*q**5 + 48/5 - 136/5*q + 139/5*q**2 - 63/5*q**3 = 0. Calculate q.
1, 3, 4
Suppose -u - 16 = -2*f, 2*u = -u + 12. Let w(k) be the second derivative of 1/4*k**3 + 5/16*k**4 + 0 - f*k + 0*k**2 - 21/80*k**5. Suppose w(o) = 0. Calculate o.
-2/7, 0, 1
Let v = 119/87 + -1/29. Suppose -3*k - 1 = 4*z, 0 = 41*z - 44*z - 3*k - 3. Solve v - 16/3*u + 7/3*u**z = 0.
2/7, 2
Let f(d) be the first derivative of 2*d**3/15 - 11*d**2/5 + 56*d/5 + 399. Factor f(p).
2*(p - 7)*(p - 4)/5
Let d(s) be the first derivative of s**5/40 - 19*s**4/32 + 113*s**3/24 - 161*s**2/16 - 147*s/4 - 858. Factor d(r).
(r - 7)**2*(r - 6)*(r + 1)/8
Find p such that 81*p**2 - 1066 + 51*p + 5*p - 79*p**2 = 0.
-41, 13
Suppose 10*b - 10962244 = 3447626. Determine r, given that b - 269707 - 86622*r - 126338*r - 440*r**3 + 14520*r**2 + 5*r**4 = 0.
22
Let d(t) be the first derivative of 4*t**5/5 - 5*t**4 - 92*t**3 + 658*t**2 + 1568*t + 2031. Factor d(c).
4*(c - 7)**2*(c + 1)*(c + 8)
Let i(m) be the second derivative of 2/105*m**7 - 4/75*m**6 + 4/15*m**4 - 3/25*m**5 + 8/15*m**3 + 0*m**2 + 0 - 44*m. Factor i(l).
4*l*(l - 2)**2*(l + 1)**2/5
Let f be 28/40*(-14)/6*(-104)/1274. Factor 2/3 - f*p**2 - 8/15*p.
-2*(p - 1)*(p + 5)/15
Let c = 411416 + -411414. Solve 15*h**c - 9/2*h**3 - 9 - 3/2*h = 0.
-2/3, 1, 3
Let d = 40 + -47. Let g(n) = -n**3 - 5*n**2 + 8*n - 5. Let w be g(d). Solve a**4 - 41*a**3 + w*a**3 + 3*a**2 - 2*a**2 - 2*a + 4*a**2 = 0.
0, 1, 2
Let a(y) be the second derivative of y**6/180 + 19*y**5/30 + 361*y**4/12 + 7*y**3/2 + 24*y - 2. Let m(z) be the second derivative of a(z). Factor m(n).
2*(n + 19)**2
Let r(y) be the third derivative of 15*y**3 + 25/8*y**4 - 45 - y**2 - 7/12*y**5 - 1/8*y**6 + 0*y + 1/42*y**7. Factor r(z).
5*(z - 3)**2*(z + 1)*(z + 2)
Let v(f) be the third derivative of 0 - 1/20*f**5 + 0*f**3 + 0*f - 1/8*f**4 + 121*f**2. Factor v(y).
-3*y*(y + 1)
Let a = -558 - -474. Let p = a - -84. Suppose 1/3*n**4 + p + 0*n**3 + 2/3*n - n**2 = 0. What is n?
-2, 0, 1
Factor -18*d**2 - 1428*d - 75495 - 94437 - 10*d**2 + 41*d**2 - 16*d**2.
-3*(d + 238)**2
Let q(j) = 4*j**2 + 86*j - 43. Let a be q(-22). Let t(g) = g**2 - g. Let k(y) = 8*y - 12. Let f(h) = a*k(h) - 2*t(h). Let f(v) = 0. Calculate v.
2, 3
Solve -1/10*n**3 - 2370963/10*n + 702595369/10 + 2667/10*n**2 = 0 for n.
889
Suppose -6/5*j**2 - 436/5 + 262*j = 0. What is j?
1/3, 218
Suppose -5*w + 6 = -204. Let o = w - 40. Suppose 4 - 37*a**2 - 3*a**o - 16*a**5 - 60*a**4 - 14*a**3 - 66*a**3 = 0. Calculate a.
-1, 1/4
Let w(j) be the first derivative of -14*j**2 + 1/3*j**3 - 109 + 27*j. Factor w(x).
(x - 27)*(x - 1)
Let f(p) be the third derivative of 0*p**3 + 1/30*p**6 - 1/210*p**7 + 1/12*p**4 - 68*p**2 - 1/12*p**5 + 0*p + 0. Factor f(g).
-g*(g - 2)*(g - 1)**2
Let p = -84 + 162. Determine x so that -22*x**2 + 6*x**2 + 10*x**2 + 9*x**2 + 507 + p*x = 0.
-13
Suppose c - 52 = -5*y, -2*y + 935 - 907 = 4*c. Factor -30*f**c - 1/2*f**5 - 6*f**4 - 25/2*f + 0 - 23*f**3.
-f*(f + 1)**2*(f + 5)**2/2
Let v = 170652 - 682341/4. Factor -3*m**3 - 363/4 - 759/2*m - v*m**2.
-3*(m + 11)**2*(4*m + 1)/4
Let k(c) = c**3 - 7*c**2 - 28*c - 17. Let s be k(10). Factor g**5 + 540*g**3 + 0*g**4 - 6*g**4 + 3*g - 10*g**2 - 528*g**s.
g*(g - 3)*(g - 1)**3
Let s(q) be the second derivative of -1/7*q**4 + 16*q + 9/7*q**2 - 1/14*q**3 - 3/140*q**5 + 0. What is r in s(r) = 0?
-3, -2, 1
Suppose 0 = 10*p - 35*p + 100. Factor -j**4 - 4*j**3 + 4*j + 31*j**p - 8 - 34*j**4 + 12*j**2.
-4*(j - 1)**2*(j + 1)*(j + 2)
Let -1331*r**4 + 168 + 450*r**2 + 676*r**4 + 700*r**4 + 669*r**3 - 1332*r = 0. What is r?
-14, -2, 2/15, 1
Suppose -30 = -8*y + 2. Suppose 2*v + 8 = -y*f, -7*v = 3*f - 10*v - 12. Factor -2/7*l**2 + f - 2/7*l.
-2*l*(l + 1)/7
Determine r, given that -164/13*r + 48/13 + 2*r**4 - 114/13*r**3 - 2/13*r**5 + 206/13*r**2 = 0.
1, 4, 6
Determine r, given that -2*r**2 - 188224 + 188104 + 14*r**2 - 172*r = 0.
-2/3, 15
Let r(n) be the first derivative of 5*n**3/12 - 2465*n**2/8 + 615*n + 1881. Factor r(k).
5*(k - 492)*(k - 1)/4
Let z(n) = n**4 + 5*n**3 + n**2 - n - 1. Let g(c) = -20*c**4 - 95*c**3 - 65*c**2 - 5*c + 60. Let u(k) = g(k) + 25*z(k). Factor u(o).
5*(o - 1)**2*(o + 1)*(o + 7)
Determine u, given that -432/7 - 216/7*u - 1/7*u**3 - 27/7*u**2 = 0.
-12, -3
Let p(j) = j**2 + 2. Let c(f) = 5*f**2 - 13*f + 9. Let v(h) = 5*c(h) - 30*p(h). Let m(z) = -7*z**2 - 98*z - 24. Let d(x) = -5*m(x) + 8*v(x). Factor d(i).
-5*i*(i + 6)
Let a = 2968/1861 + 38366873/24193. Let x = -1587 + a. Determine j so that x*j + 0 - 2/13*j**2 = 0.
0, 3
Let t(s) be the second derivative of -7/10*s**5 + 7/30*s**6 + 1/6*s**4 - 9 - 9/2*s**2 + s - 1/42*s**7 + 5/2*s**3. Factor t(k).
-(k - 3)**2*(k - 1)**2*(k + 1)
Factor 69744*j - 3*j**4 - 1612*j**3 + 84909*j - 67037*j + 432*j**3 - j**4 - 86432*j**2.
-4*j*(j - 1)*(j + 148)**2
Let p be ((-869)/(-33) - 25)*3/10 - 0. Let 2/5*y + 0 - p*y**2 = 0. Calculate y.
0, 1
Factor 8000*v**2 + 0*v**4 + 12757 - 970*v**3 - 12757 - 16160*v - 5*v**4.
-5*v*(v - 4)**2*(v + 202)
Suppose -330*z**2 - 805 + 55*z**2 - 10*z**3 - 1781242*z + 1780172*z = 0. Calculate z.
-23, -7/2, -1
What is a in 8/5*a - 4/5*a**2 + 252/5 = 0?
-7, 9
Suppose 28*j - 165*m + 160*m = 46, 0 = -5*j - 3*m + 16. What is w in -9/2*w**j - 2*w**3 + 0*w + 27/4 - 1/4*w**4 = 0?
-3, 1
Let a(i) be the third derivative of -i**6/60 - 43*i**5/30 - 355*i**4/12 - 275*i**3 - 23*i**2 + 93*i. Factor a(b).
-2*(b + 5)**2*(b + 33)
Let c(j) be the first derivative of -j**3 + 72*j**2 - 1783. Factor c(d).
-3*d*(d - 48)
Let q(x) = -x**3 + 12*x**2 + 17*x - 28. Let v be q(13). Find o, given that 12 + 49 - 11 + v - 5*o**2 - 100*o + 31 = 0.
-21, 1
Let n be ((-18)/162)/(12308/(-765) + 16). Determine y so that -n*y**4 + 0*y**3 - 5*y - 15 + 45/4*y**2 = 0.
-3, -1, 2
Let z(y) = -4*y**3 + 24*y**2 - 63*y - 200. Let f = 5 + -39. Let k(o) = -23*o**3 + 142*o**2 - 377*o - 1200. Let t(i) = f*z(i) + 6*k(i). Solve t(c) = 0.
-2, 10
Let o(q) be the third derivative of 1/630*q**6 + 1/6*q**3 + 0*q + 1/210*q**5 - 25*q**2 + 0*q**4 + 0. Let z(g) be the first derivative of o(g). Factor z(p).
4*p*(p + 1)/7
Let g = -3848 + 3848. Let n(d) be the second derivative of -5*d + g*d**3 + 0 - 1/4*d**4 + 3/2*d**2. Factor n(a).
-3*(a - 1)*(a + 1)
Let v(z) be the third derivative of -z**6/180 + 7*z**4/36 - 2*z**3/3 - 1182*z**2 - 2*z - 2. Factor v(l).
-2*(l - 2)*(l - 1)*(l + 3)/3
Let u be 0 + ((-8)/10 - (-6)/(-90)*-12). Let w(s) be the second derivative of u*s**2 + 0 - 1/2*s**5 - 1/2*s**4 + 2/3*s**3 - 3*s. Factor w(h).
-2*h*(h + 1)*(5*h - 2)
Let o(d) be the first derivative of -1/21*d**6 - 1/7*d**2 - 8/21*d**3 + 4/35*d**5 - 40 + 4/7*d + 1/7*d