 14)*(n + 9)/5
Let n(r) be the third derivative of -74*r**2 - 1/180*r**6 + 0 + 0*r**3 + 0*r**4 + 0*r + 0*r**5 + 1/945*r**7. Factor n(q).
2*q**3*(q - 3)/9
Let l(v) = -v**4 - 2*v**3 - v**2 - v - 1. Let m(z) = 12*z**5 + 30*z**4 + 24*z**3 + 6*z**2 - 10*z - 10. Let k(s) = -10*l(s) + m(s). Solve k(t) = 0 for t.
-4/3, -1, 0
Let b(y) = y - 1. Suppose 2*c = 94 + 164. Let p(m) = -m + 130*m**2 + c*m**2 - 7 - 260*m**2. Let u(z) = 3*b(z) - p(z). Factor u(a).
(a + 2)**2
Let h = -504890 - -504892. Determine u, given that 0*u**h + 0 - 2/5*u**4 + 2/5*u**3 + 0*u = 0.
0, 1
Suppose 15*g - 9 = 36. Factor 457*b**3 - 917*b**3 - b**5 - 15*b**4 + 460*b**g.
-b**4*(b + 15)
Solve -144/5*j + 0 + 6/5*j**4 + 12*j**2 + 78/5*j**3 = 0 for j.
-12, -2, 0, 1
Let a(c) = 2*c + 58. Let t be a(-5). Let i be ((-10)/t)/((-305)/244). Factor 0*m - 1/6*m**4 + 0*m**2 + 0 - i*m**3.
-m**3*(m + 1)/6
Let p = -41 + 46. Suppose -5*t**4 - 45*t**2 + p - 1 + 12*t - 4 - 32*t - 30*t**3 = 0. What is t?
-4, -1, 0
Suppose -2399 - 5*o**3 + 66*o**4 + 4419*o - 63*o**4 - 1641*o**2 + 194*o**3 - 1435 = 0. Calculate o.
-71, 2, 3
Let a(l) be the first derivative of 3*l**4/4 - 24*l**3 + 225*l**2/2 + 300*l - 771. Factor a(z).
3*(z - 20)*(z - 5)*(z + 1)
Let y(m) be the second derivative of m**4/10 + 211*m**3/5 - 636*m**2/5 + 1586*m. Factor y(b).
6*(b - 1)*(b + 212)/5
Let j(r) be the second derivative of 7*r**5/5 - 34*r**4 + 122*r**3 - 176*r**2 + 138*r. Factor j(c).
4*(c - 1)**2*(7*c - 88)
Suppose -5*c - 3*r = r + 2717, 0 = -3*c + 4*r - 1611. Let m = 1083/2 + c. Suppose 2*a - 2 - m*a**2 = 0. Calculate a.
2
Let c = -3666 - -3678. Let q(a) be the first derivative of 7/18*a**4 + 0*a + 2/9*a**5 + 0*a**2 + c + 4/27*a**3. Let q(g) = 0. Calculate g.
-1, -2/5, 0
Determine h so that -9*h**4 - 432/7*h + 3/7*h**5 + 0 + 249/7*h**3 - 117/7*h**2 = 0.
-1, 0, 3, 16
Let y(w) be the first derivative of -6/5*w**2 - 16/5*w - 35 + 2/5*w**3 + 1/10*w**4. Let y(j) = 0. Calculate j.
-4, -1, 2
Suppose -3*d**5 - 207/4*d - 27/2 - 21*d**4 - 78*d**2 - 231/4*d**3 = 0. What is d?
-2, -3/2, -1
Let u(a) be the second derivative of a**4/5 - 649*a**3/15 - 109*a**2 + 2265*a. Factor u(m).
2*(m - 109)*(6*m + 5)/5
Factor -1/6*c**3 + 3/2*c**2 - 10/3 + 2*c.
-(c - 10)*(c - 1)*(c + 2)/6
Let c(i) be the second derivative of i**5/5 - 8*i**4/3 + 10*i**3/3 + 100*i**2 + 60*i + 1. Suppose c(j) = 0. What is j?
-2, 5
Let p be 16/(-24)*24/(-32) + 11/2. Let f(q) be the first derivative of 0*q**2 + 0*q - 4/35*q**5 - 1/7*q**4 + 2/21*q**p - 23 + 4/21*q**3. Factor f(a).
4*a**2*(a - 1)**2*(a + 1)/7
Determine x so that 0 + 180/7*x - 3/7*x**2 - 180/7*x**3 + 3/7*x**4 = 0.
-1, 0, 1, 60
Let d(h) be the third derivative of 512000/3*h**3 - 77*h**2 + 0 - 1600*h**4 - 1/60*h**6 + 0*h + 8*h**5. Factor d(o).
-2*(o - 80)**3
Let q(t) be the first derivative of 21*t**4/4 + 144*t**3 + 609*t**2/2 - 342*t - 4029. Find s, given that q(s) = 0.
-19, -2, 3/7
Let b be -3*(12/36 + (-2)/3). Suppose 3*y = -2*x + 13, 4*y - 3 = 4*x + b. Determine m, given that 57/8*m + 27/8 + 3/4*m**x = 0.
-9, -1/2
Let u(j) = -4*j - 6. Let n be u(-2). Let 0*p**2 + 4*p**2 + 24 + 26*p - 2*p**3 + 3*p**n - 7*p**2 = 0. What is p?
-3, -1, 4
Determine w so that 72/13*w**2 - 72/13*w**4 + 0 + 74/13*w - 76/13*w**3 + 2/13*w**5 = 0.
-1, 0, 1, 37
Factor -70*o**2 + o - 3*o**3 + 7*o + 55*o**2 + 12*o + 52*o.
-3*o*(o - 3)*(o + 8)
Determine a so that 51984/5 + 1/5*a**2 + 456/5*a = 0.
-228
Let w(r) be the second derivative of -3*r**5/20 + 5*r**4/2 - 25*r**3/2 - 121*r - 7. Find h such that w(h) = 0.
0, 5
Let q be 360/50 + (12 - 18). Factor -2/5*y**4 - q*y**2 + 0*y + 8/5*y**3 + 0.
-2*y**2*(y - 3)*(y - 1)/5
Let w = 2321/23775 + 24/317. Let x(c) be the third derivative of -2/75*c**6 + 0 + 13/30*c**4 - w*c**5 + 8/15*c**3 + 0*c + 19*c**2. Factor x(d).
-4*(d - 1)*(d + 4)*(4*d + 1)/5
Suppose -29 + 3 = -2105*l + 2095*l + 4. Factor -3/2 + 9/2*n + 3/2*n**l - 9/2*n**2.
3*(n - 1)**3/2
Let y = -172 - 209. Let x = y + 385. Find b, given that -1/4*b**x + 17/4*b + 7/4*b**3 - 17/4*b**2 - 3/2 = 0.
1, 2, 3
Suppose 0 = -8*m + 32. Factor 21*y**2 + 2*y**3 + 12*y - 14*y**4 - 8*y**4 + 19*y**4 + m*y**3.
-3*y*(y - 4)*(y + 1)**2
Let j(h) be the first derivative of 81*h**4 - 656*h**3/3 + 170*h**2 - 8*h + 509. Factor j(o).
4*(o - 1)**2*(81*o - 2)
Let s(k) = -k**3 + 7*k**2 + 8*k + 3. Let i be s(8). Let b = 122 - 90. Solve 75*c**2 + 3*c**i - b*c**2 + 24 + 36*c - 25*c**2 = 0 for c.
-2
Let d be (4365/810)/((-2)/(-3)) - 8. Let i(m) be the second derivative of 3/20*m**5 + 1/42*m**7 + 0 - 1/10*m**6 + 0*m**2 + 14*m - d*m**4 + 0*m**3. Factor i(p).
p**2*(p - 1)**3
Let k be (-1048)/75 - (14 + -28). Let d(y) be the first derivative of -1/15*y**2 + 0*y + k*y**5 + 1/30*y**4 - 2/45*y**3 + 12. Determine p so that d(p) = 0.
-1, 0, 1
Let i(n) = 14*n**5 - n**4 - 50*n**3 - 6*n**2 + 36*n - 10. Let k(h) = -5*h**5 + 17*h**3 + 2*h**2 - 12*h + 4. Let c(b) = 6*i(b) + 17*k(b). Factor c(f).
-(f - 1)*(f + 1)*(f + 2)**3
Let o be (-8)/(-3)*(-87)/(-58). Suppose 30*s**4 - 4*s**5 - 4*s - 12*s**3 - 14*s**o + 20*s - 17*s**2 + s**2 = 0. Calculate s.
-1, 0, 1, 2
Let r(t) = -t**3 - 4*t**2 - t + 1. Let q(h) = h**4 + 68*h**3 + 692*h**2 + 2257*h - 17. Let z(m) = -4*q(m) - 68*r(m). Factor z(u).
-4*u*(u + 8)**2*(u + 35)
Let v be -2 + (0 - 42)*4/(-8). Suppose -2*g - v = -23. Factor -11*d**3 + d**3 - 4*d - 2*d**4 + 14*d**3 + 2*d**g.
-2*d*(d - 2)*(d - 1)*(d + 1)
Let n be 6/(-57) + (-18798)/(-4579). Factor n*b + 2/7*b**2 + 26/7.
2*(b + 1)*(b + 13)/7
Let p(h) be the third derivative of -h**8/5600 - h**7/1400 + 3*h**6/400 - 11*h**4/12 - 68*h**2. Let b(u) be the second derivative of p(u). Factor b(k).
-3*k*(k + 3)*(2*k - 3)/5
Let t(x) be the third derivative of -1/140*x**5 + 2*x**2 + 0 - 1/7*x**4 - 8/7*x**3 - 41*x. Factor t(k).
-3*(k + 4)**2/7
Let o(c) be the second derivative of -c**4/4 + 324*c**3 - 157464*c**2 + 1104*c. Determine w so that o(w) = 0.
324
Let -6735690*w**3 + 330494*w**2 - 2583511*w**4 - 823875*w**5 + 563256*w**2 + 101416*w**2 + 729 - 2245664*w**4 - 46899*w = 0. Calculate w.
-3, 3/65
Let q(n) be the third derivative of -13/300*n**5 - 1/15*n**3 + 0 + 0*n + 1/150*n**6 + 11/120*n**4 + 59*n**2. Factor q(m).
(m - 2)*(m - 1)*(4*m - 1)/5
Let k(h) be the first derivative of -9*h - 3/4*h**2 + 1/2*h**3 - 65. Solve k(c) = 0.
-2, 3
Suppose 0 = 87*l + 3614*l + 848*l. Factor 0*z - 3/2*z**3 + 0*z**2 + l + 1/2*z**4.
z**3*(z - 3)/2
Let p(y) be the second derivative of -y**8/420 - 8*y**7/525 + 2*y**6/25 + 25*y**2/2 - 29*y. Let w(u) be the first derivative of p(u). Factor w(n).
-4*n**3*(n - 2)*(n + 6)/5
Let u = -3906 - -3924. Let i(j) be the first derivative of 4/3*j**3 + 32*j - 20 + u*j**2. Factor i(v).
4*(v + 1)*(v + 8)
Find n, given that 2/5*n**3 + 2/5*n**2 - 8/5 - 8/5*n = 0.
-2, -1, 2
Factor -3*u**2 + 1/4*u**3 - 27/4*u - 7/2.
(u - 14)*(u + 1)**2/4
Let s = 563662/5 - 112556. Suppose -84/5*d - s - 2/5*d**2 = 0. What is d?
-21
Suppose -5320 + 1252 = -4*d. Let z = d + -1015. Let -1/3*m**z - m + 4/3 = 0. Calculate m.
-4, 1
Let v(k) be the first derivative of 5*k**6/3 - 81*k**5 - 125*k**4/2 + 1825*k**3/3 + 420*k**2 - 820*k + 5971. What is h in v(h) = 0?
-2, -1, 1/2, 2, 41
Let h be ((-60)/(-8))/15*(2 + 2). Determine l, given that h - l**2 - 2 + 110*l - 101*l = 0.
0, 9
Let c(m) be the third derivative of -m**10/15120 - m**9/756 + 81*m**4/8 - 102*m**2 - 2. Let j(u) be the second derivative of c(u). Determine r so that j(r) = 0.
-10, 0
Let w = 454 - 466. Let m be w/(-21) + 7/(147/(-12)). Let 31/4*f**2 + m - 3/2*f - 1/4*f**4 + f**5 - 7*f**3 = 0. Calculate f.
-3, 0, 1/4, 1, 2
Suppose 12*f - 2464 = 8*f. Let -k**2 + 36 - f*k**3 + 626*k**3 - k**2 - 2*k**4 - 42*k = 0. What is k?
-2, 1, 3
Let k(g) be the first derivative of 35 + 3*g**2 - 6*g + 2/9*g**3 - 1/6*g**4. Solve k(m) = 0 for m.
-3, 1, 3
Let q(k) be the first derivative of k**6/2 - 294*k**5/5 + 213*k**4 + 98*k**3 - 855*k**2/2 + 2772. Find v, given that q(v) = 0.
-1, 0, 1, 3, 95
Let k be (2 - 7/(-7)) + -2 + (-1)/3. Let y(q) be the second derivative of k*q**4 - 4/15*q**3 + 0 - 6*q + 0*q**2 - 1/2*q**5. Factor y(m).
-2*m*(5*m - 2)**2/5
Let r be 0 - (-4)/(-24) - 723/(-18). Determine j so that -4445*j - r + 4480*j + j**4 - 35*j**3 - 6*j**4 + 45*j**2 = 0.
-8, -1, 1
Suppose -3*f - 3*y = 2 - 5, f = 5*y + 19. Let n = -24695/3 + 8237. Determine l so that -4/3*l**2 + f*l**3 - 32/3