) = f(d) + 2*l(d). Factor z(x).
-x*(x + 1)*(x + 2)*(x + 11)
Let p = -144 - -147. Factor 9*o + o**3 + p*o**2 - 3*o - 16*o.
o*(o - 2)*(o + 5)
Let j(l) be the third derivative of 0*l**4 + 0*l**5 + 1/360*l**6 + 0*l**7 - 1/1008*l**8 + 0 + 0*l**3 - 17*l**2 + 0*l. Factor j(m).
-m**3*(m - 1)*(m + 1)/3
Let c = -939/14 + 403/6. Let -2/21*d**2 + c*d + 4/21 = 0. What is d?
-1, 2
Factor -28/5*x**4 - 64/5*x - 76/5*x**3 - 20*x**2 - 4/5*x**5 - 16/5.
-4*(x + 1)**3*(x + 2)**2/5
Let r(b) = -38*b + 1180. Let x be r(31). Let -1/4*j**5 - 5/8*j**4 + 0 + 1/4*j**x + 0*j - 1/8*j**3 = 0. Calculate j.
-2, -1, 0, 1/2
Suppose 7 = f - 5*y, 4*f - 5*y + 39 = -8. Let k be (38/20 + -2)*f/1. Determine o, given that 0 + 9/5*o**3 + 3/5*o + k*o**2 + 3/5*o**4 = 0.
-1, 0
Let w(k) be the third derivative of 0*k - 1/15*k**5 - 1/3*k**4 + 0 - k**2 - 2/3*k**3. Factor w(x).
-4*(x + 1)**2
Let t = 26 - 31. Let r be ((-1)/(-10))/(t/((-320)/12)). What is c in -2/5*c**2 + r + 0*c - 2/15*c**3 = 0?
-2, 1
Suppose -5*z = -5*y - 3*z - 62, 3*y + 38 = 2*z. Let d be (-2*(-15)/y)/(-2). Factor 3/4*g**3 + 1/4 + 7/4*g**2 + d*g.
(g + 1)**2*(3*g + 1)/4
Let x(i) = -95*i + 410. Let a(p) = -4*p + 468 - 59 - 90*p + p**2. Let o(u) = 5*a(u) - 4*x(u). Factor o(l).
5*(l - 9)**2
Let w(y) = y**4 - y**3 - y. Let o(d) = 0*d + 6*d**2 + 0*d + 10*d**3 - 3*d - 8 - 3*d. Let r(v) = -o(v) - 2*w(v). Solve r(u) = 0.
-2, -1, 1
Let u(p) be the second derivative of p**6/1440 - p**5/160 - 59*p**3/6 - p + 45. Let f(s) be the second derivative of u(s). Determine k so that f(k) = 0.
0, 3
Find a, given that 4*a**2 - 99365 + 1824*a + 376613 - a**2 = 0.
-304
Let y(o) = -9*o**3 + 18*o**2 - 36*o + 18. Let g = -79 + 85. Let h(f) = -10*f**3 + 18*f**2 - 36*f + 17. Let j(l) = g*h(l) - 7*y(l). Factor j(d).
3*(d - 2)**3
Let q(r) be the first derivative of 2*r**5/15 + r**4 + 26*r**3/9 + 4*r**2 + 8*r/3 - 107. Factor q(b).
2*(b + 1)**2*(b + 2)**2/3
Suppose y + 28 = 4*x + 5*y, -4*y - 60 = -4*x. Suppose 4 = x*t - 9*t. Suppose -1/2*g + 3/4*g**t - 3/4*g**4 + 1/4*g**5 + 1/4*g**3 + 0 = 0. Calculate g.
-1, 0, 1, 2
Suppose 3*j + 0 - 3 = 0. Let k(s) = 5*s**2 + 6*s + 1. Let x(p) = p + 1. Let u(d) = j*k(d) + 4*x(d). Determine l so that u(l) = 0.
-1
Let l(f) be the third derivative of -f**9/241920 + f**7/6720 + f**6/1440 + 2*f**5/15 - 3*f**2. Let x(p) be the third derivative of l(p). Factor x(g).
-(g - 2)*(g + 1)**2/4
Let t be ((-5)/((-25)/(-2)))/(144/(-495)). Let o = -39/40 + t. Factor -o*b - 3/5*b**2 + 0 - 1/5*b**3.
-b*(b + 1)*(b + 2)/5
Suppose 0 = 17*k + 203 - 288. Let h(t) be the third derivative of -5/168*t**4 - 1/840*t**6 + 0 + 0*t - 1/21*t**3 - 1/105*t**k + 9*t**2. Factor h(p).
-(p + 1)**2*(p + 2)/7
Find q such that 24/7*q - 1/7*q**4 - 16/7 - 1/7*q**2 - 6/7*q**3 = 0.
-4, 1
Let a be 0 - 1 - 6/(-4). Let d = 2831 + -2831. Factor a*m**2 + 0*m + d.
m**2/2
Let l be -7 + 1035/425*2. Let p = -9/17 - l. Factor -6/5 - 2/5*o**2 + p*o.
-2*(o - 3)*(o - 1)/5
Suppose 88 = 30*g - 32. Let n(u) be the first derivative of 11 + 2/7*u + 16/21*u**3 - 1/42*u**6 - 9/14*u**2 + 6/35*u**5 - 1/2*u**g. Factor n(o).
-(o - 2)*(o - 1)**4/7
Suppose 3*y + 4*i = 19, 0 = y - 2*y - 5*i + 10. Suppose 3*f + 0*f + 9 = -4*l, -y*f = l + 15. Factor l + 10/7*p**2 - 4/7*p + 2/7*p**4 - 8/7*p**3.
2*p*(p - 2)*(p - 1)**2/7
Let j(x) be the third derivative of 3*x**2 + 0 + 0*x**3 + 1/12*x**5 - 5/24*x**4 + 0*x. Let b(c) = c**2 - c. Let f(s) = 9*b(s) - 2*j(s). Factor f(r).
-r*(r - 1)
Let c(d) be the first derivative of 3*d**5/5 + 11*d**4/8 + 2*d**3/3 - d**2/4 - 229. Factor c(h).
h*(h + 1)**2*(6*h - 1)/2
Let n(g) = g**2 - 9*g - 5. Let w = 12 - 2. Let c be n(w). Solve -c*x - 3 + 6 + 3*x**2 + 3 - 4*x = 0.
1, 2
Let k(z) be the first derivative of -3/16*z**2 + 3/32*z**4 - 6 - 1/2*z + 5/24*z**3 - 1/40*z**5. Factor k(b).
-(b - 4)*(b - 1)*(b + 1)**2/8
Let p(n) be the second derivative of -n**7/8820 - n**6/360 + 2*n**5/105 + 2*n**4/3 - 9*n. Let m(l) be the third derivative of p(l). Factor m(v).
-2*(v - 1)*(v + 8)/7
Let c(g) = -g**2 - 47*g + 152. Let l be c(-50). Let m(y) be the first derivative of 1/5*y**5 - y**4 + y**3 - 4*y + 2*y**l + 7. Factor m(u).
(u - 2)**2*(u - 1)*(u + 1)
Let s(p) = -p**2 - 4*p + 62. Let a be s(6). Factor 4/5 + 6/5*j + 2/5*j**a.
2*(j + 1)*(j + 2)/5
Let l(c) be the second derivative of c**7/280 - c**6/160 - 16*c**2 + 6*c. Let n(y) be the first derivative of l(y). Suppose n(u) = 0. What is u?
0, 1
Let v = -41203/4 + 10301. Factor -1/4*z**4 + v*z**3 + 0*z + 0 + 1/4*z**2 - 1/4*z**5.
-z**2*(z - 1)*(z + 1)**2/4
Let w be 136/10 + 44/(-11). Let x = w - 124/15. Factor -2/3*k**2 - 2/3 - x*k.
-2*(k + 1)**2/3
Suppose 4*v - 4 + 0 = 0. Suppose 5*f - 5*j + 11 = v, 0 = 2*f + j - 8. Factor 2*q**2 - 2/3*q**3 - f*q + 2/3.
-2*(q - 1)**3/3
Let z(l) be the second derivative of l**6/80 - 3*l**4/16 - l**3/2 - 9*l**2/16 - l - 508. Factor z(t).
3*(t - 3)*(t + 1)**3/8
Solve -231/2*y**2 + 17787/4*y + 0 + 3/4*y**3 = 0 for y.
0, 77
Let t(m) be the first derivative of -m**6/180 - m**5/15 - m**4/4 + 37*m**3/3 - 2. Let b(i) be the third derivative of t(i). What is j in b(j) = 0?
-3, -1
Let p(u) be the third derivative of 1/8*u**3 + 1/1344*u**8 + 0*u - 28*u**2 - 1/840*u**7 + 5/96*u**4 + 0 - 1/120*u**5 - 1/80*u**6. Find r, given that p(r) = 0.
-1, 1, 3
Let u(o) = -20*o**3 + 10*o**2 - 18*o + 54. Let a(k) = 7*k**3 - 3*k**2 + 6*k - 20. Let s(i) = -17*a(i) - 6*u(i). Factor s(q).
(q - 8)*(q - 2)*(q + 1)
Let o(i) be the first derivative of 1 - 6*i**4 - 32*i**3 + 0*i - 64*i**2 - 2/5*i**5. Let o(r) = 0. What is r?
-4, 0
Factor -1020 - u**2 + 39*u + 1020 + 4*u**2.
3*u*(u + 13)
Let j(n) = 7*n**2 + 5*n**2 - 12 - 11*n**2 + 15*n. Let q be j(-16). Solve 4 + 4*y + 12*y**4 - 6*y**q - 2*y**3 - 10*y**2 - 2*y = 0.
-1, -2/3, 1
Let k be 1/6 + (-803)/(-438). Find r such that 0*r**k - 2/3*r + 1/6*r**4 + 0 + 1/2*r**3 = 0.
-2, 0, 1
Let j(t) be the third derivative of t**7/280 + 3*t**6/80 + t**5/80 - 3*t**4/4 + 2*t**3 + 2*t**2 - 1. Factor j(p).
3*(p - 1)**2*(p + 4)**2/4
Let t(l) be the first derivative of l**7/14 - l**6/5 - 3*l**5/5 + l**4/2 + 3*l**3/2 + 16*l - 40. Let q(x) be the first derivative of t(x). Factor q(h).
3*h*(h - 3)*(h - 1)*(h + 1)**2
Factor 2*a**2 + 271/2*a - 34.
(a + 68)*(4*a - 1)/2
Let -1/4*d**5 + 3/2*d**4 + 0 + 3*d**2 - d - 13/4*d**3 = 0. What is d?
0, 1, 2
Let n(g) be the first derivative of 32/5*g**3 + 17 + 3/4*g**4 + 111/10*g**2 + 6*g. Factor n(w).
3*(w + 1)*(w + 5)*(5*w + 2)/5
Let o = -198 - -596. Let c = o + -1984/5. Solve 3/5*s + 0*s**3 - c*s**4 + 6/5*s**2 - 3/5*s**5 + 0 = 0 for s.
-1, 0, 1
Let r(i) be the first derivative of i**3/3 - 11*i**2 + 85*i + 19. Let t be r(17). Factor t - 2/9*w - 2/3*w**2.
-2*w*(3*w + 1)/9
Let k(g) be the first derivative of -1/120*g**4 - 1/150*g**6 + 0*g - 1/2*g**2 - 1/60*g**5 + 3 + 0*g**3. Let c(p) be the second derivative of k(p). Factor c(v).
-v*(v + 1)*(4*v + 1)/5
Let r = 1027/9486 + 3/1054. Find y, given that -1/9*y**4 + r*y**2 + 0 + 1/9*y**3 - 1/9*y = 0.
-1, 0, 1
Suppose -4*o + 70 = 22. Let i = o + 31. What is j in 4*j + 14*j**3 + 6*j**3 + 0*j**3 + 4 - i*j**2 = 0?
-1/4, 2/5, 2
Let u(t) = t**3 - 37*t**2 - 79*t + 42. Suppose 0 = -y - 8*y + 351. Let q be u(y). What is a in 3/5*a - 3/5*a**q + 0*a**2 + 0 = 0?
-1, 0, 1
Let z(l) be the second derivative of l**6/20 - 21*l**5/40 + 9*l**4/4 - 5*l**3 + 6*l**2 + 51*l. Determine k so that z(k) = 0.
1, 2
Factor -36*n - 126412*n**3 + 0*n**4 + 3*n**2 + 126388*n**3 + 55*n**2 + 2*n**4.
2*n*(n - 9)*(n - 2)*(n - 1)
Factor -3/2*j**2 - 9/2 - 15/2*j + 3/2*j**3.
3*(j - 3)*(j + 1)**2/2
Let a(o) be the first derivative of 2*o**3/45 + 22*o**2/15 + 38*o/5 + 344. Factor a(i).
2*(i + 3)*(i + 19)/15
Let f(m) = m + 17. Let r be f(-13). Suppose -g + 3*h + 38 + r = 0, -3*g + 104 = 2*h. Determine t so that -g*t + 6*t**3 + 34*t - 2*t**5 - 2*t**3 = 0.
-1, 0, 1
Let i(u) = -u**3 - u**2 - 2. Let b be i(-2). Let k(d) be the second derivative of 3/2*d**b - 5*d - d**3 + 1/4*d**4 + 0. Factor k(c).
3*(c - 1)**2
Let j be 2/(-18)*-3 - (-165)/(-9). Let q be -4 - (-3 + 46/j). Factor -2/9 - 4/9*p + q*p**2 - 8/9*p**3.
-2*(p - 1)**2*(4*p + 1)/9
Let z(h) be the first derivative of 1/8*h**3 + 9/16*h**2 - 18 - 3/2*h. Factor z(s).
3*(s - 1)*(s + 4)/8
Let g(y) be the third derivative of -y**7/1890 + y**6/1080 - 2*y**2 + 72*y. Factor g(s).
-s**3*(s - 1)/9
Let n(d) be the third derivative of 0*d 