*i**4/4 - 175*i**3/2 + 8*i**2 - 20*i - 2. Factor a(b).
3*(b - 175)*(b + 5)/5
Suppose 0 = -20*u + 8*u + 1284. Factor -8*i - 43*i**2 - 3*i**4 + 2*i**4 + u*i**2 - 54*i**2 - i**3.
-i*(i - 2)*(i - 1)*(i + 4)
Suppose 15*k - 132 = -18*k. Suppose 2*q - 4*a = k, -4*q - 7*a = -4*a - 8. Find r such that -2/11*r**3 + 0*r + 0 + 0*r**q = 0.
0
Let c(s) be the second derivative of -1/3*s**4 - 4 - 5*s - 4*s**3 - 10*s**2. Suppose c(y) = 0. What is y?
-5, -1
Let q(z) = -z**2 - 15*z - 10. Let c be q(-14). Suppose 3*w - c*v = -2*w, -5*w = v - 25. Factor n**2 + w - 6 + 4*n**2 - 5*n**3 + n + 4*n**3 - 3*n**4.
-(n - 1)*(n + 1)**2*(3*n - 2)
Let o(y) be the third derivative of y**6/180 + 388*y**5/135 + 16813*y**4/36 + 3698*y**3/3 + 304*y**2 + 5*y. Factor o(p).
2*(p + 129)**2*(3*p + 2)/9
Let a(i) be the third derivative of i**6/24 + 17*i**5/12 + 10*i**4/3 + 87*i**2 - 2*i + 5. Factor a(k).
5*k*(k + 1)*(k + 16)
Let q = 393 - 570. Let m = q - -1609/9. Factor -8/3*b**3 - 4/9*b - 16/9*b**2 - m*b**4 - 4/9*b**5 + 0.
-4*b*(b + 1)**4/9
Suppose 59 - 139 = -16*i. Suppose -4*o**3 + 2*o**i + 2*o**3 + 38*o**4 + 4*o**2 - 42*o**4 = 0. Calculate o.
-1, 0, 1, 2
Factor 0 - 1/5*b**4 + 21/5*b**3 + 0*b - 104/5*b**2.
-b**2*(b - 13)*(b - 8)/5
Let u(w) be the second derivative of 0 + 0*w**2 - 1/20*w**5 + 2/3*w**3 + 0*w**4 + 48*w. Factor u(j).
-j*(j - 2)*(j + 2)
Suppose -6*u + 5 - 17 = 0. Let r be u*(-3)/(-24)*(-184)/115. Suppose -r*q**2 + 6/5*q + 0 = 0. What is q?
0, 3
Suppose 4*v - 42 = 2*s, -v + 7*s + 24 = 11*s. Find z such that 44*z**2 - v*z**3 - 117*z**4 + 73*z**4 - 15*z**5 + 7*z**5 + 20*z = 0.
-5, -1, -1/2, 0, 1
Let t(n) be the second derivative of 3*n**6/5 - 47*n**5/10 - 103*n**4/3 + 16*n**3 - 29*n + 22. Find c, given that t(c) = 0.
-3, 0, 2/9, 8
Let f(c) be the second derivative of c**4/6 + 70*c**3/3 + 884*c. Factor f(s).
2*s*(s + 70)
Let i(j) = j**3 - 3*j**2 - j. Suppose 3*t = 1 + 5. Let g(q) = t*q**2 - 4*q - q**3 + 2*q**3 - 12*q**2 + 3*q**3. Let n(v) = 6*g(v) - 20*i(v). Factor n(a).
4*a*(a - 1)*(a + 1)
Let f(c) = -5. Suppose -5*t = a - 28, 4*a - 12 + 38 = 3*t. Let z(s) = -s**3 + s**2 + 2*s + 6. Let y(u) = t*f(u) + 5*z(u). Let y(j) = 0. What is j?
-1, 0, 2
Factor 10/3*w**3 - 8/3 - 10/3*w + 2*w**2 + 2/3*w**4.
2*(w - 1)*(w + 1)**2*(w + 4)/3
Let i(q) be the second derivative of -q**7/70 + 13*q**6/150 + 31*q**5/100 - 73*q**4/60 - 74*q**3/15 - 6*q**2 - 42*q - 8. Suppose i(o) = 0. Calculate o.
-2, -1, -2/3, 3, 5
Let y(n) = n**2 - 2*n + 1. Let j(u) = 11*u**2 + 376*u - 387. Let v(k) = 2*j(k) - 18*y(k). Suppose v(m) = 0. What is m?
-198, 1
Let o = 8389/16776 - 1/16776. Factor 15/2*f - 7/2 + o*f**3 - 9/2*f**2.
(f - 7)*(f - 1)**2/2
Let h(j) be the second derivative of -j**7/63 + j**6/9 + 13*j**5/30 - 29*j**4/18 - 8*j**3 - 12*j**2 - 2*j + 2096. Solve h(v) = 0 for v.
-2, -1, 3, 6
Let m(b) be the second derivative of -2*b**5/35 + 59*b**4/84 - 101*b**3/42 + 15*b**2/7 - 18*b + 3. Factor m(g).
-(g - 5)*(g - 2)*(8*g - 3)/7
Factor 1/2*h**4 + 12640*h**2 - 25281/2 + 159*h**3 - 159*h.
(h - 1)*(h + 1)*(h + 159)**2/2
Let 2/5*z**2 + 0 + 1202/5*z = 0. What is z?
-601, 0
Solve -8464/5 - 2852/5*t - 4/5*t**3 - 40*t**2 = 0 for t.
-23, -4
Let w be 12 + -2 - (-8 - -16). Factor 96*x + 5*x**w + 93 + 16*x**2 - 18*x**2.
3*(x + 1)*(x + 31)
Suppose 5*h - 3*i - 5 = -14, h + 3*i - 9 = 0. Let y(v) be the first derivative of 3/40*v**5 + h*v + 15/32*v**4 + v**3 + 3/4*v**2 - 9. Factor y(u).
3*u*(u + 1)*(u + 2)**2/8
Let j(g) be the first derivative of -6*g**5/5 + 74*g**4/7 - 10*g**3/21 - 2*g**2 + 777. Determine d so that j(d) = 0.
-2/7, 0, 1/3, 7
Let l(f) = 3*f**3 + 2*f. Let p = -15 - -658. Let q(o) = -p + 21*o**3 + 643 + 15*o. Let b(n) = 15*l(n) - 2*q(n). Factor b(d).
3*d**3
Let q(m) be the second derivative of m**6/120 - 25*m**5/8 + 1743*m**4/4 - 296227*m**3/12 + 571787*m**2/8 - 3*m + 42. Factor q(z).
(z - 83)**3*(z - 1)/4
Determine f so that -1964500*f**2 + 1961776*f**2 + 60*f**3 - 137360 - 30240*f + 200729 + 698679 + 3*f**4 = 0.
-28, 18
Let l(p) be the second derivative of -p**4/30 + 35*p**3/3 + 534*p**2/5 - 4639*p. Factor l(a).
-2*(a - 178)*(a + 3)/5
Let j(t) be the first derivative of -t**6/90 - t**5/105 + 6*t**3 - 2*t + 43. Let s(m) be the third derivative of j(m). What is n in s(n) = 0?
-2/7, 0
Find j such that j**3 + 51468 + 3*j**3 + 312*j**2 - 20364 + 6912*j = 0.
-36, -6
Suppose -3*d - 18 = -2*k - 0*d, -1 = k + d. Factor 3*t**4 - 18*t**3 - t**4 - 24*t**k - 17*t**3 + 65*t**3.
2*t**3*(t + 3)
Let d(n) = -12*n + 45. Let r be d(-2). Suppose 12*y = -21 + r. Factor 0*a + 20/7*a**5 + 16*a**3 + 0 - 88/7*a**y - 32/7*a**2.
4*a**2*(a - 2)**2*(5*a - 2)/7
Let c(d) be the second derivative of d**3 + 1/36*d**4 - 14 + 27/2*d**2 - 3*d. Factor c(j).
(j + 9)**2/3
Let c = -5700 + 5715. Let q(d) = -d**3 + d**2. Let o(a) = 7*a - 11*a**3 + 0 - 4 + 3*a**2 + 5. Let b(x) = c*q(x) + 3*o(x). Determine j so that b(j) = 0.
-1/4, 1
Let o(n) be the third derivative of n**6/480 - n**5/16 - 37*n**4/96 + 17*n**3/8 - 256*n**2 + 1. Factor o(k).
(k - 17)*(k - 1)*(k + 3)/4
Factor 3095*t**3 + 7408*t**2 + 255*t**4 + 3719*t + 3640 - 5*t**5 + 5341*t + 2461*t**2 - 1779*t**2 + 165*t**4.
-5*(t - 91)*(t + 1)*(t + 2)**3
Let g be ((-42)/84 + 141/266)*(-21)/(-6). Determine k so that -12482/19 - 316/19*k - g*k**2 = 0.
-79
Let f(p) be the first derivative of -40*p**3 - 5/6*p**6 - 55/2*p**4 - 8*p**5 - 45/2*p**2 + 0*p + 16. Factor f(l).
-5*l*(l + 1)**2*(l + 3)**2
Let l = 11 + -11. Let c be 7/((-35)/(-60)) + l. Factor -c*m - 105*m**3 - 222*m**2 + 4 + 16 + 6 - 2.
-3*(m + 2)*(5*m + 2)*(7*m - 2)
Let n(o) be the third derivative of -o**8/84 - 26*o**7/35 - 7*o**6 - 406*o**5/15 - 111*o**4/2 - 66*o**3 + 2322*o**2. Factor n(s).
-4*(s + 1)**3*(s + 3)*(s + 33)
Let f(x) = -49*x - 463. Let p be f(-10). Suppose u + 5*r = 7, p - 34 = -4*u + r. Let 1/4*s**u - 3 + 11/4*s = 0. What is s?
-12, 1
Let u(v) = -v**5 + 2*v**4 - v**2 + v + 1. Let m(a) = 515*a**5 - 631*a**4 + 15*a**3 + 113*a**2 - 17*a - 5. Let k(s) = -m(s) - 5*u(s). Find x such that k(x) = 0.
-2/5, 0, 2/17, 1/2, 1
Let z = 11820/3647 + -200/521. What is j in -2/7*j**4 - 12/7*j**3 - 24/7*j**2 - z*j - 6/7 = 0?
-3, -1
Find l, given that -28*l**5 + 2228*l**4 - 19200*l**2 - 221 + 99 + 122 - 43840*l**3 = 0.
-3/7, 0, 40
Let t(g) = -2*g**3 - 28*g**2 + 48*g**2 - 30*g**2 - g - 2*g + 6*g**3 + 3. Let p(d) = d**3 - 10*d**2 - 2*d + 2. Let m(k) = 3*p(k) - 2*t(k). Factor m(v).
-5*v**2*(v + 2)
Suppose -29*x + 2245 = -24*x. Factor -15 - 22*t**2 - 3*t**2 + 454*t**3 - x*t**3 + 35*t.
5*(t - 3)*(t - 1)**2
Let o(m) be the third derivative of -m**6/1440 + m**5/160 + 5*m**4/48 + 161*m**3/6 + 45*m**2 - 2. Let v(r) be the first derivative of o(r). Factor v(y).
-(y - 5)*(y + 2)/4
Determine p, given that 27/4*p**3 - 1027/4*p + 541/2*p**2 - 41/2 = 0.
-41, -2/27, 1
Suppose -h + 6 = 3*w - 2*h, 0 = -5*w + 3*h + 10. Let 60*y**3 + 258*y**4 - 64*y + 268*y**4 - 40*y**w + 4*y**5 - 486*y**4 = 0. Calculate y.
-8, -2, -1, 0, 1
Let c(q) be the first derivative of 2*q**3/57 + 81*q**2/19 + 160*q/19 + 648. Factor c(d).
2*(d + 1)*(d + 80)/19
Let w = -570 + 935. Let i = -362 + w. Factor 0 + 6/7*h**2 + 1/7*h**i + 9/7*h.
h*(h + 3)**2/7
Factor 195*l + 7620*l**2 - 3815*l**2 - 3800*l**2 + 21 + 519.
5*(l + 3)*(l + 36)
Suppose 3*a = 19*g - 23*g + 17883, -2*a + 3*g = -11939. Factor -8*l**2 + 5*l**2 + 1402 - a + 234*l.
-3*(l - 39)**2
Let g(f) = -f**2 - 1038*f + 68609. Let a(z) = 8*z**2 + 9344*z - 617488. Let u(s) = 5*a(s) + 44*g(s). Factor u(x).
-4*(x - 131)**2
Let v(g) be the first derivative of 2*g**5/5 - 9*g**4 + 170*g**3/3 - 72*g**2 - 352*g - 203. Factor v(y).
2*(y - 11)*(y - 4)**2*(y + 1)
Let c(f) = 235*f + 31. Let p be c(11). Suppose p = -6*n + 35634. Factor 5503*w - 2 + 2*w**2 - n*w.
2*(w - 1)*(w + 1)
Let r(g) be the second derivative of 16*g + 1/30*g**5 - 2 + 0*g**3 + 1/18*g**4 + 0*g**2. Factor r(m).
2*m**2*(m + 1)/3
Let z(u) be the first derivative of 3*u**4/4 + 67*u**3 - 207*u**2 - 2158. Factor z(h).
3*h*(h - 2)*(h + 69)
Suppose 0 = 5*x - 84*n + 80*n - 24, 0 = n + 1. Let k(t) be the first derivative of -x*t**3 - 15/2*t**2 - 6*t - 3/4*t**4 - 18. Factor k(o).
-3*(o + 1)**2*(o + 2)
Suppose -52 - 48 = -10*a. Suppose -3*l = -2*z, a*z - 15*z - 5*l + 25 = 0. Factor -4/3*p**z - 2/3*p**4 + 0 - 2/3*p**2 + 0*p.
-2*p**2*(p + 1)**2/3
Let c(h) be the second derivative of -h**5/140 - 689*h*