2/7*u - 10/7*u**3 - 11/7*u**4 - 2/7*u**5 = 0.
-3, -1, 1/2, 1
Suppose -1428 = -22*l - 20*l. Let b = 34 - l. Factor b*y - 10/7*y**3 + 2/7*y**5 + 6/7*y**2 + 0 + 2/7*y**4.
2*y**2*(y - 1)**2*(y + 3)/7
Let y(v) = -4*v - 158. Let j be y(-41). Factor 8644*x**4 + 9*x**2 - 8641*x**4 - 15*x + j*x**3 - 12 + 9*x**3.
3*(x - 1)*(x + 1)**2*(x + 4)
Let k = -96817 - -871354/9. Find a, given that -8/9*a**4 - k*a**5 - 2/3 - 23/9*a - 8/3*a**3 - 34/9*a**2 = 0.
-3, -2, -1
Suppose 0 = 4*m + 3*g - 30, 2*m = 11*g - 6*g - 24. Let v(i) be the second derivative of -7*i - 25/12*i**4 + 5/6*i**m + 0*i**2 + 0. Factor v(y).
-5*y*(5*y - 1)
Let y = 510 - 513. Let g(c) = 4*c**2 + 23*c - 6. Let h(q) = -12*q**2 - 72*q + 16. Let j(l) = y*h(l) - 8*g(l). Factor j(v).
4*v*(v + 8)
Let g(v) be the first derivative of -3*v**5/5 - 87*v**4/2 - 221*v**3 - 408*v**2 - 324*v - 1590. Factor g(d).
-3*(d + 1)**2*(d + 2)*(d + 54)
Let x(g) = g**3 - 111*g**2 - 536*g - 8. Let f(n) = -n**3 + 221*n**2 + 1071*n + 18. Let r(q) = -4*f(q) - 9*x(q). Factor r(s).
-5*s*(s - 27)*(s + 4)
Let l = 1811 + -1811. Let a(p) be the second derivative of l - 1/120*p**6 + 3/40*p**5 - 1/2*p**2 - 14*p - 13/48*p**4 + 1/2*p**3. What is f in a(f) = 0?
1, 2
Let w(q) be the first derivative of q**5/10 + q**4 + 3*q**3 + 153*q - 58. Let g(n) be the first derivative of w(n). Factor g(b).
2*b*(b + 3)**2
Let p(c) be the third derivative of -1/1176*c**8 + 0*c - 1/210*c**5 + 0*c**3 + 1/420*c**6 + 7 + 1/735*c**7 + 0*c**4 + 6*c**2. Suppose p(l) = 0. What is l?
-1, 0, 1
Let k(m) = 30*m**5 - 52*m**4 + 74*m**3 - 26*m**2 + 13*m. Let p(r) = -7*r**5 + 13*r**4 - 18*r**3 + 6*r**2 - 3*r. Let i(z) = 6*k(z) + 26*p(z). Factor i(o).
-2*o**3*(o - 12)*(o - 1)
Let k(q) be the third derivative of -q**5/120 - 175*q**4/48 + 89*q**3/2 - 8*q**2 - 110*q. Factor k(n).
-(n - 3)*(n + 178)/2
Let s = 132695 - 132495. Factor -s*o**4 + 0 + 8*o + 180*o**3 + 125/2*o**5 - 64*o**2.
o*(o - 2)*(5*o - 2)**3/2
Determine b so that 114688 - 2565*b**3 + 320*b**2 + 5050*b**3 - 2481*b**3 - 13312*b = 0.
-112, 16
Let b(r) be the third derivative of 0 - 1/240*r**6 + 0*r - 105*r**2 - 1/2*r**3 + 1/20*r**5 + 1/48*r**4. Factor b(p).
-(p - 6)*(p - 1)*(p + 1)/2
Let f(p) be the third derivative of p**6/60 + 11*p**5/15 + 35*p**4/4 + p**2 + 44*p + 22. Factor f(t).
2*t*(t + 7)*(t + 15)
Factor -2/7*n**2 + 0 + 268/7*n.
-2*n*(n - 134)/7
Let p be 1/(-2) + 165/(-6) + 5. Let u be 12 + p - (-8 + -3). Solve 2*v - 1/2*v**2 + u = 0.
0, 4
Let d(a) be the third derivative of -a**6/720 - 161*a**5/36 - 161603*a**4/36 + 324818*a**3/9 - 5294*a**2 + 2*a. Factor d(c).
-(c - 2)*(c + 806)**2/6
Let w be 600/80*(-8)/10. Let z be -2*w/(-108)*-12. Determine l so that 4/3*l**4 - z*l + 4/3*l**3 + 8/3 - 4*l**2 = 0.
-2, -1, 1
Suppose 52 = 3*m + 5*h, 1396*m - 1397*m = -2*h + 12. Let 0 - 36/5*r**3 - 32/5*r + 2/5*r**m + 66/5*r**2 = 0. What is r?
0, 1, 16
Let u be 38*7/14 + -8. Factor 96*m - u*m**2 + 48*m + 104 - 15*m**2 - 44*m + 22*m**2.
-4*(m - 26)*(m + 1)
Let w(j) be the second derivative of j**6/1260 + j**5/12 + 17*j**4/42 - 29*j**3/6 - j**2 + 28*j - 3. Let h(k) be the second derivative of w(k). Factor h(s).
2*(s + 1)*(s + 34)/7
Let v(f) = -5*f + 2. Let o be v(10). Let a = o - -103. Determine g so that 9*g - 4*g**2 + 9*g**3 + 21*g + a*g**2 = 0.
-5, -2/3, 0
Let y(l) be the second derivative of -l**6/36 - 25*l**5/12 + 65*l**4/6 - 395*l**3/18 + 265*l**2/12 + 3*l - 50. Factor y(z).
-5*(z - 1)**3*(z + 53)/6
Let f(g) = 4*g**3 + 9*g**2 + 8*g + 3. Let v(w) = -2*w**3 - w**2 - 2*w**2 + w**3 - 2*w**2 + 4*w**2 - 1. Let r(j) = -f(j) - 3*v(j). Factor r(n).
-n*(n + 2)*(n + 4)
Let i(u) = -2*u**3 - 20*u**2 + 25*u + 36. Let w be i(-11). Factor -19*v**w - 50*v + 5*v**2 + 16*v**3 + 2*v**3 + 9*v**3 + v**4.
v*(v - 2)*(v + 5)**2
Let f(h) be the third derivative of h**5/12 + 55*h**4/8 + 350*h**3/3 + 1758*h**2. What is z in f(z) = 0?
-28, -5
Let r be ((-30)/(-8))/(4 + 16 + -11). Let a(s) be the first derivative of -s**2 + 8 + s - 1/16*s**4 + r*s**3. Determine v so that a(v) = 0.
1, 2
Let p = -309 - -311. Let -7*u**2 - 4*u**2 - 8*u**p - 124 + 15*u**2 + 128*u = 0. What is u?
1, 31
Let f(h) be the second derivative of -17/15*h**5 - 2/63*h**7 - 4/3*h**3 + 0*h**2 + 17/9*h**4 + 14/45*h**6 + 0 - 38*h. Let f(i) = 0. What is i?
0, 1, 2, 3
Suppose 52 - 37 = 3*j. Factor -317*b**3 + 387*b**3 + 13 - 173 - j*b**5 + 106*b**2 + 34*b**2 - 5*b**4 - 40*b.
-5*(b - 4)*(b - 1)*(b + 2)**3
Let n(v) = 21*v**2 + 345*v - 2002. Let j(o) = -40*o**2 - 685*o + 4005. Let f(h) = -8*j(h) - 15*n(h). Factor f(a).
5*(a - 6)*(a + 67)
Let x(k) be the second derivative of -k**6/960 + k**5/40 - 7*k**4/64 + 23*k**3/6 - 17*k. Let p(g) be the second derivative of x(g). Factor p(o).
-3*(o - 7)*(o - 1)/8
Let c = 80 + -102. Let b be (c/30 - 3/(-9))*-20. Find u such that 5*u**2 - u**5 + 3*u**2 - u**3 + b*u**3 - 2*u**2 = 0.
-2, -1, 0, 3
Let y(w) = -w**3 + 7*w**2 + 7*w - 148. Let v be y(-4). Let a be 3 + 20/(-30) + (-1)/3. Suppose j**2 + 1/2*j**3 - a*j + v - 1/4*j**4 = 0. Calculate j.
-2, 0, 2
Let g(m) be the first derivative of m**4/6 - 136*m**3/9 + 836*m**2/3 + 23104*m/3 - 2697. Find l, given that g(l) = 0.
-8, 38
Let z be (12/(-18))/((-8)/9*3). Let x(b) be the first derivative of -z*b**4 + 0*b + 1/5*b**5 - 3/2*b**2 - 5/3*b**3 + 15. Let x(c) = 0. What is c?
-1, 0, 3
Factor 4*l**4 + 96 - 29*l - 85755*l**2 + 32*l**3 + 85775*l**2 - 123*l.
4*(l - 1)**2*(l + 4)*(l + 6)
Let c be ((-4)/3*(-27)/(-153))/((-78)/663). Find z, given that c*z + z**2 - 8/3 - 1/3*z**3 = 0.
-2, 1, 4
Let z(r) be the second derivative of -4/45*r**5 + 1/189*r**7 - 2/135*r**6 + 4/9*r**2 - 4 + 2*r - 1/27*r**4 + 7/27*r**3. Solve z(y) = 0 for y.
-1, 1, 4
Let o = -1568 - -1574. Suppose 0 = 4*v + 2*f - 20, v + f + o = 3*v. Solve 27/4*n**2 + 1/4*n**v + 27/4*n + 0 + 9/4*n**3 = 0.
-3, 0
Let j be (-2 - 0)*(-55 - 371/(-7)). Solve 108 + 342*d + 3/4*d**5 + 81/4*d**j + 1515/4*d**2 + 657/4*d**3 = 0.
-12, -1
Let p(k) be the first derivative of k**3/4 - 1821*k**2/2 + 1105347*k - 3395. Let p(h) = 0. What is h?
1214
Let i(u) be the second derivative of u**4/24 + 52*u**3/3 + u - 79. Solve i(s) = 0 for s.
-208, 0
Factor 20*b**2 - 1/3*b**4 + 58/3*b - 59/3 - 58/3*b**3.
-(b - 1)**2*(b + 1)*(b + 59)/3
Suppose -i - 2336 = 2*l, -3518 = 3*l - 0*i + 5*i. Let y = -1166 - l. Determine f, given that 2/9*f**4 + 2*f**3 + 16/9*f**2 + y*f + 0 = 0.
-8, -1, 0
Find u, given that -51 - 145/3*u + 1/3*u**3 + 3*u**2 = 0.
-17, -1, 9
Let m be (-48)/80 - 36/(-10). Factor 21532 + m*a**2 + 2*a**2 - 7*a**2 - 21558 - 28*a.
-2*(a + 1)*(a + 13)
Let g(q) be the third derivative of -q**7/1470 + 23*q**6/280 - 223*q**5/70 + 592*q**4/21 + 1024*q**3/7 + 2*q**2 - 1824. Solve g(a) = 0.
-1, 6, 32
Suppose -121*h + 798 + 291 = 0. Let c(p) be the second derivative of -1/5*p**6 + 0*p**2 - 7/10*p**5 + 0*p**4 + 0 - h*p + 4/3*p**3. Factor c(z).
-2*z*(z + 1)*(z + 2)*(3*z - 2)
Let a(h) = 33*h**2 + 4625*h + 1030. Let z(o) = 65*o**2 + 9253*o + 2062. Let p(n) = 7*a(n) - 3*z(n). Factor p(s).
4*(s + 128)*(9*s + 2)
Let f = -59 - -64. Suppose 3*o = -f*o + 40. Determine u so that o*u**2 - 846*u - 3 - 3*u**3 + 849*u - 2*u**2 = 0.
-1, 1
Determine o, given that 9*o**2 + 1/4*o**3 - 651/4*o + 1225/2 = 0.
-50, 7
Let b(f) be the third derivative of -7/10*f**5 + 0*f + 3*f**4 + 9/2*f**3 + 20*f**2 - 2/5*f**6 - 3/70*f**7 + 1. Suppose b(r) = 0. What is r?
-3, -1/3, 1
Let f be (1*(-5 + 8))/(-3)*4/(-1). Let r(t) be the second derivative of 5/12*t**f + 25*t**2 + 0 - 35/6*t**3 + 24*t. Factor r(o).
5*(o - 5)*(o - 2)
Suppose 54/13*r**4 - 192/13*r + 802/13*r**2 + 414/13*r**3 + 2/13*r**5 - 1080/13 = 0. Calculate r.
-15, -9, -2, 1
Factor 223/4*m - 1/4*m**3 + 0 + 111/2*m**2.
-m*(m - 223)*(m + 1)/4
Let j(v) be the third derivative of -3*v**4/8 - 9*v**3 - 60*v**2. Let q be j(-6). Suppose 0*g + 6/5*g**3 - 4/5*g**2 - 2/5*g**5 + 0 + q*g**4 = 0. Calculate g.
-2, 0, 1
Let y(k) be the third derivative of -1295/156*k**4 - 139*k**2 - 1/780*k**6 + 0*k - 1369/39*k**3 + 73/390*k**5 + 0. Determine i, given that y(i) = 0.
-1, 37
What is b in -22441*b**2 - 41*b**4 + 8*b**5 - 45*b**3 - 11*b**5 + 22819*b**2 - 25*b**4 = 0?
-21, -3, 0, 2
Suppose 4*f - 285*p - 4 = -284*p, -f + 3*p + 12 = 0. Factor 3/7*o - 1/7*o**3 + 2/7 + f*o**2.
-(o - 2)*(o + 1)**2/7
Let v be (1 + 16)/(-6 - (-7 - 0)). Factor 3 - 13*p**3 - 4*p - 15 + v*p + 5 + p**2 + 6*p**