*n + 2*n. Let w = -38 + n. Factor 0*r**3 + w*r**2 - 3*r**2 - 3 - r**3 - 3*r + 2.
-(r + 1)**3
Suppose -848*s + 2654 + 2162 = 356*s. Find k, given that 16/3*k**s - 26/3*k**3 + 0 + 4*k**2 - 2/3*k**5 + 0*k = 0.
0, 1, 6
Let f(g) be the first derivative of 1/24*g**4 + 13/6*g**2 + 100 + 0*g - 3/2*g**3. Factor f(k).
k*(k - 26)*(k - 1)/6
Let k(g) be the second derivative of -g**4/114 + 556*g**3/57 - 1108*g**2/19 + 1475*g. Factor k(x).
-2*(x - 554)*(x - 2)/19
Let w(q) be the second derivative of -q**5/150 + 2*q**4/15 - 4*q**3/5 - 43*q**2/2 - q. Let u(y) be the first derivative of w(y). Find g such that u(g) = 0.
2, 6
Factor -67/3*c**3 - 4*c + 88/3*c**2 + 0 + 13/3*c**4.
c*(c - 3)*(c - 2)*(13*c - 2)/3
Let x(r) be the first derivative of r**7/1680 + 13*r**6/1440 - r**5/60 - 7*r**4/96 - 41*r**3 - 90. Let w(l) be the third derivative of x(l). Factor w(h).
(h - 1)*(h + 7)*(2*h + 1)/4
Factor 253/8 - 503/4*x**3 + 757/4*x**2 - 1011/8*x + 1/8*x**5 + 249/8*x**4.
(x - 1)**4*(x + 253)/8
Let w be 6 - 3 - 5/((-15)/1164). Factor -850*g + w*g - 5*g**2 + 424*g + 40.
-5*(g - 1)*(g + 8)
Factor -4*w**2 + w**2 + 6*w**2 - 16*w + w**2.
4*w*(w - 4)
Let b be (4/50)/(-85*(-2)/2980). Let s = b - 1/425. Solve s*w**4 + 1/5*w**2 - 8/5 - 6*w**3 + 6*w = 0.
-1, 2/7, 1, 4
Let j(o) be the third derivative of 0*o - 1/180*o**5 - 1/18*o**4 + 3*o**2 + 1/18*o**3 + 0 + 1/90*o**6. Suppose j(v) = 0. Calculate v.
-1, 1/4, 1
Let r(o) = -2*o + 37. Let y be r(5). Factor -y*q**4 + 64*q + 16*q**4 + 128*q**2 + 33*q**4 - q**5 + 84*q**3 + 3*q**5.
2*q*(q + 1)*(q + 2)*(q + 4)**2
Let w(r) be the third derivative of r**8/84 - 2*r**7/3 + 173*r**6/15 - 1432*r**5/15 + 1264*r**4/3 - 2816*r**3/3 + r**2 + r + 203. Factor w(a).
4*(a - 22)*(a - 4)**3*(a - 1)
Let k(t) be the second derivative of 4*t**2 - 17/12*t**3 + 1/24*t**4 + 14 - 2*t. Factor k(j).
(j - 16)*(j - 1)/2
What is b in 0 - 18*b**2 + 0*b - 1/2*b**4 - 6*b**3 = 0?
-6, 0
Let x(g) = -g**2 - 20*g - 59. Let n be x(-16). Let j(l) = 2*l - 1. Let f(c) = c**3 + 3*c**2 + 19*c - 7. Let v(a) = n*f(a) - 40*j(a). Factor v(u).
5*(u + 1)**3
Factor 230*a**5 + 47*a**3 + 12*a**4 - 34*a**2 - 36*a + 224*a**5 + 40 - 453*a**5 - 30*a**3.
(a - 1)**2*(a + 2)**2*(a + 10)
Let n(v) = 6*v**2 - 1. Let z(g) = -3*g**3 - 492*g**2 - 987*g - 493. Let p(c) = -n(c) + z(c). Factor p(y).
-3*(y + 1)**2*(y + 164)
Let q(v) = -v**3 - 22*v**2 - 13*v + 27. Let x(l) = 2*l**3 + 46*l**2 + 26*l - 53. Let n(k) = -14*q(k) - 6*x(k). Let n(g) = 0. What is g?
-15, -2, 1
Let f(j) be the second derivative of 17/15*j**4 - 48*j + 12/25*j**5 + 23/15*j**3 + 8/75*j**6 + 6/5*j**2 + 1/105*j**7 + 2. Factor f(o).
2*(o + 1)**3*(o + 2)*(o + 3)/5
Let j(m) = m**4 - 110*m**3 - 672*m**2 - 3. Let w(y) = 110*y**3 + 672*y**2 + 2. Let l(k) = -2*j(k) - 3*w(k). Solve l(v) = 0 for v.
-48, -7, 0
Let c(a) = a**3 + 54*a**2 + 31*a - 1158. Let l be c(-53). Let w(h) be the third derivative of 0 - h**3 + 0*h + 1/30*h**5 + l*h**2 - 1/6*h**4. Factor w(d).
2*(d - 3)*(d + 1)
Let q = -15341/3 + 5170. Let n = q - 667/12. Factor 3/4*c**4 + n - 3/2*c**2 + 0*c + 0*c**3.
3*(c - 1)**2*(c + 1)**2/4
Suppose -1 = -g - 2. Let j be 1/((-2)/(-4)) - g. Suppose -10*b**j - 5*b**4 + 495*b - 5*b**2 - 495*b = 0. What is b?
-1, 0
Let c(y) be the second derivative of -y**4/36 + 2*y**3/3 - 6*y**2 + 233*y + 2. Factor c(s).
-(s - 6)**2/3
Let -4*f**3 - f**4 - 25*f + 85*f**2 - f**4 + 68*f**2 + 5*f - 127*f**2 = 0. Calculate f.
-5, 0, 1, 2
Let x be (-2)/(-7)*420/60. Let u(q) be the second derivative of 15*q + 1/6*q**4 + 0*q**3 + 0*q**x + 0 - 1/20*q**5. Factor u(b).
-b**2*(b - 2)
Find g such that -3/5*g**2 + 1869/5 + 1866/5*g = 0.
-1, 623
Suppose -7/3*u**4 + 472/3*u + 92/3*u**3 - 20 - 377/3*u**2 = 0. Calculate u.
1/7, 2, 5, 6
Let j = -659 - -666. Let c be 6/(60/34) - 21/j. Factor -4/5*o - c*o**2 - 2/5.
-2*(o + 1)**2/5
Let q(h) = -h**2 - 66*h + 14789. Let y be q(-159). Factor 8/5*i - 8/5*i**3 + y*i**2 - 2.
-2*(i - 1)*(i + 1)*(4*i - 5)/5
Let u(m) = -m**2 + 8*m + 50. Let z be u(12). Suppose 4*s = p - z, 10 = -12*p + 17*p + 4*s. Factor 0 - 2/7*l + 2/7*l**p.
2*l*(l - 1)/7
Let s(i) be the first derivative of i**6/180 + i**5/60 + 260*i**3/3 - 194. Let u(v) be the third derivative of s(v). Let u(g) = 0. Calculate g.
-1, 0
Suppose 0 = 7*o - 9*o - 3*h - 11, -5*h = 35. Let g(d) be the second derivative of -7*d + 1/9*d**3 + 0*d**2 - 1/9*d**4 + 1/30*d**o + 0. Factor g(t).
2*t*(t - 1)**2/3
Let m(a) be the second derivative of 0 - 20/3*a**2 - 6*a**3 - 5/9*a**4 - 109*a. Factor m(l).
-4*(l + 5)*(5*l + 2)/3
Let r(i) be the first derivative of 2*i**3/9 - 794*i**2 + 945654*i + 1502. Factor r(d).
2*(d - 1191)**2/3
Let k(p) be the first derivative of p**5/10 - 65*p**4 + 173*p**3/2 + 14478. Factor k(d).
d**2*(d - 519)*(d - 1)/2
Let r(h) be the third derivative of 0 + 5/48*h**4 + 0*h - 2/15*h**5 + 1/672*h**8 + 66*h**2 + 3/40*h**6 - 2/105*h**7 + 0*h**3. Let r(u) = 0. What is u?
0, 1, 5
Factor 3643 - 111*x**3 + 9192504*x + 3*x**4 + 1368*x**2 + 1061 - 9198468*x.
3*(x - 14)**2*(x - 8)*(x - 1)
Factor -1/2*d**2 + 0 + 0*d - 97/4*d**3.
-d**2*(97*d + 2)/4
Solve -16*n**2 - 17*n + 49 + 21*n - 15 - 19*n = 0.
-2, 17/16
Let m(u) be the first derivative of 15 + 0*u + 5/2*u**2 + 35*u**3. Factor m(z).
5*z*(21*z + 1)
Let m(f) be the third derivative of f**6/30 + 2*f**5/3 + 23*f**4/6 + 28*f**3/3 + f**2 - 128. Find a, given that m(a) = 0.
-7, -2, -1
Let -14/19*x**3 - 10/19*x**4 + 256/19*x**2 - 136/19*x - 96/19 = 0. What is x?
-6, -2/5, 1, 4
Let a(k) = k**4 - 56*k**3 + 251*k**2 - 436*k + 240. Let l(r) = r**4 - r**3 + r**2 - r. Suppose 2 - 14 = -12*v. Let g(q) = v*a(q) + 4*l(q). Factor g(n).
5*(n - 4)**2*(n - 3)*(n - 1)
Factor 0 + 3/7*g**3 + 0*g + 6/7*g**2.
3*g**2*(g + 2)/7
Let h(d) be the first derivative of 2*d**5/5 - 20*d**4 + 1184*d**3/3 - 3840*d**2 + 18432*d - 408. Factor h(f).
2*(f - 12)**2*(f - 8)**2
Let d(w) be the second derivative of w**4/18 + 7604*w**3/9 + 14455204*w**2/3 + 10296*w. Factor d(f).
2*(f + 3802)**2/3
Let p be (4/(-5))/(0 - (-4)/(-50)). Suppose -3*l**2 + 37 + 11*l + 0*l**2 - 35*l - p = 0. What is l?
-9, 1
Suppose -37*d + 39*d = -6. Let q be (-20)/(-6) + d/9. Solve 3*t**2 - 2*t + q*t + 183 + t**3 - 186 - 2*t**3 = 0.
-1, 1, 3
Let p = 190 + -944/5. Let j be -3 - 72/50*7*10/(-28). Solve -3/5*d + j*d**2 - p = 0 for d.
-1, 2
Suppose 417*s = 410*s + 14. Factor -5*p**5 - 15*p - 50*p**s - 25*p**3 + 9*p**3 - 19 + 19 - 44*p**3 - 30*p**4.
-5*p*(p + 1)**3*(p + 3)
Suppose 0 = -195*y + 668*y - 1313 - 106. Factor -82/3*t**y + 0 - 10/3*t**4 - 176/3*t**2 - 32/3*t.
-2*t*(t + 4)**2*(5*t + 1)/3
Determine p so that -4*p**2 + 2/9*p**3 + 16 - 8/9*p = 0.
-2, 2, 18
Suppose 30*f - 166 - 44 = 0. Let o be (2064/300 - f)*(-20)/18. Factor -o*d**2 + 8/15*d + 0.
-2*d*(d - 4)/15
Let x(y) be the third derivative of -131 - 19/120*y**5 - 2*y**2 + 0*y + 1/240*y**6 + 0*y**4 + 0*y**3. Determine g so that x(g) = 0.
0, 19
Suppose 2*z + 3*k = 46, 5*k - 7 - 23 = -z. Let s be 127/z - (2 - (-48)/(-20)). What is x in -s*x + 27/2 - 9*x**2 + 1/2*x**3 + 3/2*x**4 + 1/4*x**5 = 0?
-3, 1, 2
Let b(n) be the second derivative of -9/4*n**2 - 13/18*n**3 + n - 105 + 1/72*n**4. Factor b(x).
(x - 27)*(x + 1)/6
Let r(q) = -10*q**3 - 100*q**2 - 580*q - 800. Let z(d) = -11*d**3 - 100*d**2 - 579*d - 798. Let f(v) = -6*r(v) + 5*z(v). Factor f(y).
5*(y + 2)*(y + 9)**2
Let d(n) be the third derivative of -n**2 + 0*n**4 + 1/120*n**5 - 32*n + 0 - 1/12*n**3. Determine c so that d(c) = 0.
-1, 1
Determine i so that -61/4*i**4 + 36*i - 5/4*i**5 - 47*i**3 + 3*i**2 + 0 = 0.
-6, -1, 0, 4/5
Let q(s) be the second derivative of -s**6/10 - 3*s**5/5 + 5*s**4/4 - 274*s. What is y in q(y) = 0?
-5, 0, 1
Let o be (-172)/12 - (-28)/(-42). Let q be o/75*10/(-7). Factor q*l**2 + 4*l + 14.
2*(l + 7)**2/7
Let p(h) be the second derivative of -1/9*h**4 + 0 + 4/3*h**3 + 0*h**2 - 100*h. Factor p(y).
-4*y*(y - 6)/3
Suppose 303*q - 411*q = -249*q. Find t, given that -3/2*t**3 + 27/2*t**2 - 21*t + q = 0.
0, 2, 7
Suppose 27*z + 1983 = -z + 2487. Let u(k) be the first derivative of -z + 256/15*k**3 + 36/5*k - 96/5*k**2. Factor u(o).
4*(8*o - 3)**2/5
Let n = 3166 - 12663/4. Let f be (10/(-24))/(3/((-9)/5)). Determine r so that n - 1/4*r**2 - f*r**3 + 1/4*r = 0.
-1, 1
Determine x, given that -4025 + 25*x**2 + 4025 - 10*x**3 - 15*x = 0.
0, 1, 3/2
Let q = -63 + 90. What is o in 0*o**2 - o**