f v**4/48 - 199*v**3/12 + 39601*v**2/8 + 637*v. Factor w(z).
(z - 199)**2/4
Determine w, given that -28*w**5 + 1488*w - 10986*w**3 + 10030*w**3 + 904*w**4 - 2678*w**2 - 2330*w**2 = 0.
-2, 0, 2/7, 3, 31
Suppose 157*f = -507*f + 2656. Factor 80/7*b**2 - 2/7*b**5 + 20/7*b**f - 50/7*b - 60/7*b**3 + 12/7.
-2*(b - 6)*(b - 1)**4/7
Let k(b) = 18 - 4*b**2 + 15 + 16*b - 7. Let a = -2766 + 2760. Let l(z) = 11*z**2 - 48*z - 76. Let q(c) = a*l(c) - 17*k(c). Factor q(h).
2*(h + 1)*(h + 7)
Find h such that -94/19*h + 20/19 + 96/19*h**2 = 0.
5/16, 2/3
Let u(w) be the second derivative of -32/3*w**3 + 4 + 3/5*w**5 + 1/15*w**6 + 10*w + 0*w**4 + 0*w**2. Factor u(i).
2*i*(i - 2)*(i + 4)**2
Let i(z) be the first derivative of z**6/6 - 59*z**5/5 + 493*z**4/2 - 2950*z**3/3 - 9099*z**2/2 - 5103*z - 3490. Let i(n) = 0. Calculate n.
-1, 7, 27
Let v = -678515/231 + 61687/21. Let g be (-278)/(-33) + (-4)/(-6). Factor -90/11*t - g - v*t**3 - 24/11*t**2.
-2*(t + 2)*(t + 5)**2/11
Solve -19596*j**2 + 26136 + 387/2*j**4 - 5940*j**3 - 792*j - 3/2*j**5 = 0.
-2, 1, 66
Let g = -121 - -124. Suppose -g*n - 2*n**4 + 6*n - 3*n + 4*n**3 = 0. Calculate n.
0, 2
Let r(k) = -2*k**2 + 43*k - 20. Let u be r(21). Suppose 10*n - 91 + u = 0. Suppose -n*i - 3/2*i**2 + 21/2 = 0. Calculate i.
-7, 1
Let 433033*i - 433313*i - 160 + 5*i**5 + 35*i**4 - i**2 - 99*i**2 + 50*i**3 = 0. Calculate i.
-4, -2, -1, 2
Suppose 51/4*o - 51/4*o**3 - 97/4*o**2 + 49/2 - 1/4*o**4 = 0. Calculate o.
-49, -2, -1, 1
Let q be (-3922)/(-28) + 9/21. Let z = -839/6 + q. Factor 10/9*j**2 - 2/9*j**3 - z*j - 2.
-2*(j - 3)**2*(j + 1)/9
Let m(l) be the third derivative of -l**6/840 + 5*l**5/42 - 47*l**4/168 - 7*l**3/3 + 2*l**2 + 4*l - 292. Find v such that m(v) = 0.
-1, 2, 49
Let k = 41 + 19. Suppose -k = -2*c + c. Solve -c*r**2 - 30*r**4 - 20*r - 5*r**5 - 26*r**3 - 38*r**3 - r**3 = 0 for r.
-2, -1, 0
Let c(v) = 374*v**2 - 170*v + 2044. Let z(u) = 841*u**2 - 339*u + 4088. Let y(f) = 9*c(f) - 4*z(f). Let y(w) = 0. Calculate w.
14, 73
Let z(h) be the third derivative of -h**7/385 - 17*h**6/220 - 81*h**5/110 - 115*h**4/44 - 50*h**3/11 + 3*h**2 - 31. What is k in z(k) = 0?
-10, -5, -1
Let u(a) = 4*a**2 - 20*a + 21. Let v(r) = -20*r**2 + 100*r - 104. Let c be 8*(-3 + 1)/(-1). Suppose -13 + 19 = 2*z. Let k(o) = c*u(o) + z*v(o). Factor k(s).
4*(s - 3)*(s - 2)
Let j(x) be the third derivative of -117*x**2 - x + 1/390*x**5 - 1/26*x**4 - 7/39*x**3 + 0. Factor j(u).
2*(u - 7)*(u + 1)/13
Determine x, given that 14*x**2 + 10*x**3 + 472*x**2 - 30*x + 506*x = 0.
-238/5, -1, 0
Let a(j) = j**2 - 2*j. Let i(m) be the second derivative of m**4/12 + 13*m**3/3 + 20*m**2 - 31*m. Let g(h) = 5*a(h) - i(h). Factor g(n).
4*(n - 10)*(n + 1)
Let s(x) be the third derivative of x**10/80640 - x**9/10080 - 59*x**4/6 - x**3/6 + 280*x**2. Let q(g) be the second derivative of s(g). Factor q(z).
3*z**4*(z - 4)/8
Let g(a) = -5*a**2 + 6*a + 84. Let u(f) = 14*f**2 - 19*f - 245. Let s(h) = -11*g(h) - 4*u(h). Factor s(m).
-(m - 14)*(m + 4)
Let g be 16 + 19572/(-1218) + (-178)/(-58). Let h(i) be the first derivative of 0*i**2 + 2/35*i**5 + 0*i**4 - 4/21*i**g - 17 + 2/7*i. Factor h(f).
2*(f - 1)**2*(f + 1)**2/7
Let b(t) be the first derivative of -2*t**5/35 - 52*t**4/7 - 136*t**3/7 - 2349. Factor b(p).
-2*p**2*(p + 2)*(p + 102)/7
Let o(x) be the second derivative of -3*x**7/28 - 19*x**6/30 + 469*x**5/40 + 971*x**4/12 - 155*x**3 - 126*x**2 + 1047*x. Determine n so that o(n) = 0.
-6, -2/9, 1, 7
Let f(m) be the third derivative of -1/210*m**5 + 0*m - 52*m**2 + 0 - 5/21*m**3 + 1/14*m**4. Factor f(l).
-2*(l - 5)*(l - 1)/7
Let g = 226 - 224. Let -9*f**2 + 32*f - 46*f - f**g - 2*f**3 + 26*f = 0. What is f?
-6, 0, 1
Let j(d) be the first derivative of 0*d**2 + 20/3*d**3 - 2/5*d**5 + 0*d - 3/2*d**4 + 87. Factor j(z).
-2*z**2*(z - 2)*(z + 5)
Suppose 0 = -7*l + 22 - 8. Find n, given that 17*n**2 + 20 - 45*n**3 - 125*n + 119*n**2 + 74*n**l = 0.
1/3, 4
Let v(o) be the first derivative of o**5/5 - 19*o**4/4 + 31*o**3/3 + 51*o**2/2 + 785. Factor v(u).
u*(u - 17)*(u - 3)*(u + 1)
Suppose -5*o = -18 + 3. Suppose 9 = o*n + 3. Suppose n + 2*c**4 + 128*c - 4*c**2 - 128*c = 0. Calculate c.
-1, 1
Let j(u) be the third derivative of u**5/120 + 10*u**4/3 - 275*u**3/4 + 8483*u**2. Let j(v) = 0. Calculate v.
-165, 5
Suppose 45 = 5*h + 4*h. Let a = 64 - 383/6. Factor -1/6*w**3 + 0 + 1/6*w**h + 0*w - a*w**2 + 1/6*w**4.
w**2*(w - 1)*(w + 1)**2/6
Let y = 916 - 909. Let u(f) be the third derivative of 0*f**5 + 0 + 0*f**3 + 1/12*f**6 - 25/336*f**8 + 0*f + 1/14*f**y + 0*f**4 + 9*f**2. Factor u(n).
-5*n**3*(n - 1)*(5*n + 2)
Let a(z) be the third derivative of 10*z + 2*z**2 + 0 - 1/12*z**5 - 15*z**3 - 95/24*z**4. Factor a(t).
-5*(t + 1)*(t + 18)
Let s(t) = 5*t**3 - 15*t**2 + 82*t - 242. Let c be s(3). Factor -25/3*l**2 - 5/6 + 25/3*l**3 - 25/6*l**c + 25/6*l + 5/6*l**5.
5*(l - 1)**5/6
Let q(j) be the third derivative of -1/2*j**4 - j**2 + 0*j**3 + 0*j - 11 - 1/30*j**6 + 4/15*j**5. Suppose q(y) = 0. What is y?
0, 1, 3
Let y(l) be the third derivative of -l**8/6720 - l**7/420 - 7*l**6/1440 - 13*l**3/2 + 66*l**2 + 1. Let k(a) be the first derivative of y(a). Factor k(z).
-z**2*(z + 1)*(z + 7)/4
Let u(p) be the first derivative of -2*p**6/9 - 28*p**5/15 + p**4/3 + 28*p**3/9 - 3584. Determine s so that u(s) = 0.
-7, -1, 0, 1
Let z(n) be the second derivative of n**5/30 + 122*n**4/9 + 484*n**3/9 + 154*n. Factor z(w).
2*w*(w + 2)*(w + 242)/3
Solve -945*t**3 + 548*t + 8/3 + 4846/3*t**2 = 0 for t.
-2/7, -2/405, 2
Let m(x) = 122*x - 9. Let p be m(10). Factor 1211 - 5*a**4 - p - 15*a - 25*a**3 - 35*a**2.
-5*a*(a + 1)**2*(a + 3)
Suppose -2 = -173*l + 172*l. Determine o so that -35*o**2 - 8*o + 34*o**l + 9*o = 0.
0, 1
Let u(y) be the second derivative of 8*y**7/21 - 6*y**6/5 - 6*y**5 + 8*y**4/3 + 1530*y. Suppose u(c) = 0. Calculate c.
-2, 0, 1/4, 4
Let y be 9/24*(-52)/(-39). Let g(j) be the first derivative of y*j**4 - 15 + 0*j - 1/2*j**3 + 1/6*j**2 - 1/6*j**5. Find d such that g(d) = 0.
0, 2/5, 1
Determine q, given that 321/7*q + 36/7 - 111/7*q**2 = 0.
-4/37, 3
Let v = -43 + 42. Let f(n) = 10*n**2 + 3*n + 2. Let p be f(v). Factor 75*m + 13*m**3 + p*m**3 + 26*m**3 - 168*m**2 - 9.
3*(m - 3)*(4*m - 1)**2
Let a(t) = -t + 9. Let v be a(5). Let x = 78282 + -78280. Determine m so that -3/5*m - 3/5*m**v - 6/5 + 3/5*m**3 + 9/5*m**x = 0.
-1, 1, 2
Let x be -10 - (11 - 520/24). Let v(q) be the first derivative of 14 + 0*q + q**2 - 17/5*q**5 - 13/3*q**3 + x*q**6 + 6*q**4. Suppose v(r) = 0. What is r?
0, 1/4, 1, 2
Solve -6 - 101/7*q - 11*q**2 - 19/7*q**3 - 1/7*q**4 = 0 for q.
-14, -3, -1
Let j be -11 - 1*(-16 - -5). Let n(t) be the third derivative of -1/75*t**6 + 1/75*t**5 + 0*t + 0 - 3*t**2 + j*t**3 + 2/525*t**7 + 0*t**4. Solve n(c) = 0.
0, 1
Let k be 2/7 - 2/(-42)*-6. Let r be (-4)/(-26) - k - 8/(-117). Factor -2/3*f**2 + 2/9*f - r*f**3 + 2/3.
-2*(f - 1)*(f + 1)*(f + 3)/9
Let o be 1*-1*(-2 + 2). Let a = -5799310/21 - -276158. Determine k so that -2/21*k**5 - 8/21*k**2 + a*k**4 + 8/21*k + o - 2/7*k**3 = 0.
-1, 0, 1, 2
Let c(j) = 11*j**3 - 4*j**2 + 29*j. Let h(t) = 36*t**3 - 12*t**2 + 88*t. Let q(y) = 16*c(y) - 5*h(y). Factor q(b).
-4*b*(b - 2)*(b + 3)
Let g be 2/3 - -10*78/(-36). Let f be (-9 + 0)*7/g. Find b, given that 36*b**2 - 9*b**f + 5*b**4 - 2*b + 25*b**2 - b**5 - 54*b**2 = 0.
0, 1, 2
Suppose -2/3*v**4 - 24 - 154/3*v**2 + 184/3*v + 44/3*v**3 = 0. What is v?
1, 2, 18
Factor 0 - 8/7*j - 2/7*j**3 - 8/7*j**2.
-2*j*(j + 2)**2/7
Let 115/4*q + 2 - 75/4*q**2 = 0. What is q?
-1/15, 8/5
Factor 48 + 2/5*t**2 - 242/5*t.
2*(t - 120)*(t - 1)/5
Let z(i) = -8*i**2 - 9*i + 8. Suppose -5*j + 810 = -0*j. Suppose -10*n + j = -n. Let c(u) = 2*u**2 + 2*u - 2. Let w(k) = n*c(k) + 4*z(k). Solve w(o) = 0 for o.
-1, 1
Let g = -502/9 + 3517/63. Let q(c) be the second derivative of 0*c**4 + 0*c**2 - 2 + 9*c + 0*c**5 + g*c**7 + 0*c**3 - 1/15*c**6. Solve q(t) = 0.
0, 1
Suppose 0 = -50*z + 140662 - 140512. Solve -1/4*p**2 + 1/4*p**z + 0 - 3/2*p = 0.
-2, 0, 3
Let b be 1/((-27)/(-1080)*(-8)/14). Let y be (8/(-20))/(26/b). Factor 2/13*j - 6/13*j**4 - 10/13*j**2 + 0 + y*j**3.
-2*j*(j - 1)**2*(3*j - 1)/13
Let h(o) = -o**2 - 13*o - 25. Let c be h(-10). Let b be (5/(-32))/(c/(-60)). Suppose -9/8 - b*m**2 - 3/8*m**3 - 21/8*m = 0. Calculate m.
-3, -1
Suppos