ive of 3*c**4/4 - 94*c**3 + 8667*c**2/2 - 87480*c + 5037. Factor t(g).
3*(g - 40)*(g - 27)**2
Let v be (5 - (-195)/9) + 45/(-27). Suppose 2*n + 2*l = 5*l + 21, -5*n + 2*l = -v. What is h in 0 + 0*h - 10/3*h**n - 2/3*h**2 = 0?
-1/5, 0
Let v(x) be the first derivative of -2*x**3/3 - 4478*x**2 - 10026242*x + 8486. Factor v(s).
-2*(s + 2239)**2
Let x(k) be the second derivative of -5*k**4/12 + 80*k**3 - 475*k**2/2 - 2*k + 91. Factor x(z).
-5*(z - 95)*(z - 1)
Suppose -4*y + 3*y = 12*y - 3*y. Let i = 91 + -1181/13. Factor -i*g**2 + y + 2/13*g.
-2*g*(g - 1)/13
Let a be 282210/207 + -8 + 2 + 8. Factor 256*r - a + 1/3*r**3 - 16*r**2.
(r - 16)**3/3
Let r(d) be the first derivative of 21/8*d**2 - 3/8*d**4 + 1/24*d**6 - 3/20*d**5 - 118 + 9/4*d + 5/6*d**3. Factor r(v).
(v - 3)**2*(v + 1)**3/4
Let u(h) = -2*h + 62. Let m be u(37). Let v be (143/39)/((-22)/m). Find o, given that -10/3*o**v - 2*o**4 - 14/3*o**3 + 0 - 2/3*o = 0.
-1, -1/3, 0
Let n = 922 + -927. Let p be (-3)/(-3)*0/(n - -14). Suppose 0*v**3 + 1/8*v**4 + 0*v - 1/8*v**2 + p = 0. Calculate v.
-1, 0, 1
Let d = 4331/13407 + 46/4469. Determine p so that -1/3*p**2 + 1/3 + d*p**3 - 1/3*p = 0.
-1, 1
Let u = -89 - -126. Suppose u = 2*n + 9. Let -36*l + 22*l**3 + 10 - 6*l**2 - l**3 + n - 3*l**5 + 0*l**2 = 0. Calculate l.
-2, 1, 2
Let -202*b + 76*b + 67*b + 103*b - 7*b**2 + 11*b**2 = 0. What is b?
-11, 0
Factor -119293 + 1642*j**2 + 6884*j**2 + 84011*j**3 - 83984*j**3 + 672132*j - 30491.
3*(j + 158)**2*(9*j - 2)
Suppose 3*d + 1 - 14 = 2*p, 5*d - 24 = p. Factor -14*m + 20 + d*m**2 + 43*m - 26*m - 28*m.
5*(m - 4)*(m - 1)
Let j(c) be the first derivative of c**4/48 + 7*c**3/24 + 3*c**2/4 - 84*c - 83. Let t(v) be the first derivative of j(v). Factor t(b).
(b + 1)*(b + 6)/4
Let i(v) be the first derivative of 5*v**5/6 - 5845*v**4/24 + 2332*v**3/9 - 233*v**2/3 - 597. Suppose i(r) = 0. Calculate r.
0, 2/5, 233
Let 2208/5*u + 258/5*u**4 - 4512/5 - 2211/5*u**3 + 3/5*u**5 + 4254/5*u**2 = 0. Calculate u.
-94, -1, 1, 4
Let q(a) = 17*a**3 - 101*a**2 - 168*a + 128. Let m(g) = -15*g**3 + 102*g**2 + 168*g - 135. Let f(b) = 4*m(b) + 3*q(b). Solve f(c) = 0.
-2, 2/3, 13
Suppose -503*o + 4*h + 14 = -504*o, 5*h + 22 = o. Let t(x) be the second derivative of 2/9*x**3 + 0 - 4/3*x**o + 23*x - 1/72*x**4. Let t(j) = 0. What is j?
4
Let r(v) be the first derivative of v**6/2 - 396*v**5/5 + 19395*v**4/4 - 142082*v**3 + 2007882*v**2 - 13333896*v + 11056. Factor r(h).
3*(h - 38)**3*(h - 9)**2
Find n such that -21*n**2 + 7449*n - 7725*n + 2*n**3 - 113*n**2 = 0.
-2, 0, 69
Determine q so that 10/3*q + 77 - 1/3*q**2 = 0.
-11, 21
Let m(i) be the first derivative of -8*i + 9/2*i**4 + 57 - 20*i**3 - 23*i**2. Let m(f) = 0. What is f?
-1/3, 4
Let 102*j**4 - 1248*j + 763*j**3 + 1336 + 16 + 483*j**3 + 543494*j**2 + 2*j**5 - 544948*j**2 = 0. What is j?
-26, -1, 1
Let q(m) be the third derivative of m**5/270 + 155*m**4/54 + 557*m**2. Solve q(u) = 0.
-310, 0
Find t such that -783 + 444 + 16*t**3 + 2*t**4 + 1235 - 800*t - 114*t**2 = 0.
-8, 1, 7
Let f = 5045 - 5040. Let j(x) be the second derivative of -1/24*x**3 + 1/80*x**f - 1/16*x**2 + 0*x**4 + 0 + 1/240*x**6 + 20*x. Factor j(h).
(h - 1)*(h + 1)**3/8
Let p(j) be the first derivative of -1/9*j**4 - 16/9*j + 2/9*j**2 + 8 + 16/27*j**3. Factor p(s).
-4*(s - 4)*(s - 1)*(s + 1)/9
Let m(a) be the first derivative of -16928*a**6/27 + 94208*a**5/45 - 14797*a**4/9 - 18722*a**3/27 + 7616*a**2/9 - 2048*a/9 - 7100. What is g in m(g) = 0?
-1/2, 1/4, 32/23
Let m be (-1)/2*0/(-13 + (-195)/(-13)). Let s(h) be the first derivative of m*h + 0*h**2 + 1/4*h**3 - 26 + 1/16*h**4. Determine i, given that s(i) = 0.
-3, 0
Let u(z) be the second derivative of -z**4/42 + 4*z**3/7 + 45*z**2/7 + 60*z + 2. Factor u(w).
-2*(w - 15)*(w + 3)/7
Factor -6*x**2 - 1400/9 + 2/9*x**3 + 160/3*x.
2*(x - 10)**2*(x - 7)/9
Let q(f) = f**2 + 12*f + 21. Let z be q(-6). Let k(o) = -3*o - 45. Let i be k(z). Factor -21 + h**3 - h**5 + i*h**3 + 21.
-h**3*(h - 1)*(h + 1)
Let n = 167/84 - 5/21. Let x(i) be the first derivative of 9/16*i**4 + n*i**3 + 1 + 15/8*i**2 + 3/4*i. Suppose x(w) = 0. Calculate w.
-1, -1/3
Let l(x) be the second derivative of -x**6/1080 + 7*x**5/360 + x**4/4 - 7*x**3/2 + x**2 - 4*x. Let y(t) be the second derivative of l(t). Factor y(z).
-(z - 9)*(z + 2)/3
Let h(q) = -32*q - 64. Let x be h(-2). Let y be (x + (-12)/(-15))*(-120)/(-408). Let y*m + 0 - 38/17*m**2 = 0. What is m?
0, 2/19
Factor -42*v + 0 - 2/3*v**4 + 122/3*v**2 + 2*v**3.
-2*v*(v - 9)*(v - 1)*(v + 7)/3
Suppose -5*a + 17 = 7. Factor -7*g**3 - 5*g**3 - 6*g**a - 14*g**3 + 29*g**3.
3*g**2*(g - 2)
Let i be 0 - 8/((-24)/6). Factor 4*n**i - 4 + 1 + n**2 - 2*n**2.
3*(n - 1)*(n + 1)
Let l(i) = 1599*i**2 - 6397*i + 7. Let d be l(4). Find m, given that -8*m**2 - 4*m**4 - 1/2*m**5 - 9*m**d + 0 - 5/2*m = 0.
-5, -1, 0
Let s(r) = -r**3 + 6*r**2 + 5*r - 14. Let t(m) be the first derivative of m**4/2 - 6*m**3 - 13*m**2/2 + 40*m + 124. Let b(x) = 11*s(x) + 4*t(x). Factor b(u).
-3*(u - 1)*(u + 1)*(u + 2)
Factor 1483*r**3 - 9*r - 1479*r**3 + 3*r**2 + 3*r**2 + 5*r - 8 + 2*r**2.
4*(r - 1)*(r + 1)*(r + 2)
Let h be 24 - (-693)/(-21) - -19. Let y(p) be the first derivative of -h*p**2 + 100*p + 1/3*p**3 + 37. Determine g so that y(g) = 0.
10
Factor 18*r + 5*r - 2*r**3 - 130 + 40*r + 4*r**2 + 9*r - 14.
-2*(r - 6)*(r - 2)*(r + 6)
Let z(p) = -2*p**3 - 1481*p**2 - 250632*p - 5. Let c(j) = -3*j**3 - 2215*j**2 - 375948*j - 7. Let u(l) = -5*c(l) + 7*z(l). Factor u(b).
b*(b + 354)**2
Let h(f) be the first derivative of -2*f**5/15 + 61*f**4/3 + 1256*f**3/9 + 886*f**2/3 + 254*f + 2470. Solve h(q) = 0 for q.
-3, -1, 127
Let d(z) = -2 + 261*z**2 - z + 264*z**2 - 522*z**2. Let o be d(-1). Factor -16/5*y + 2/5*y**o + 32/5.
2*(y - 4)**2/5
Let l(y) be the second derivative of -y**6/90 - 313*y**5/60 - 2054*y**4/3 - 1352*y**3 - 555*y. Determine p so that l(p) = 0.
-156, -1, 0
Let h(o) be the first derivative of -5/3*o**3 - 30*o + 79 - 25/2*o**2. Solve h(l) = 0.
-3, -2
Suppose -6*v = -5*w - v + 195, -2*w - 4*v + 60 = 0. Let n be (12/w)/(1/513). Solve n - 171 + 5*h**3 = 0.
0
Let f(k) be the first derivative of -161 - 1/44*k**4 + 5/33*k**3 + 13/22*k**2 + 7/11*k. Factor f(j).
-(j - 7)*(j + 1)**2/11
Suppose -8 = n + 5*w, -2969*n + 8 = -2964*n + w. Factor 1/2*c**n + 8*c + 10 - 1/2*c**3.
-(c - 5)*(c + 2)**2/2
Let d be (12/(-10))/((-7)/((-70)/(-4))). Suppose d*p - 69 = -3*a, -3*a + 2*p + 4 = -50. Determine j, given that 2*j**3 - 15*j + a*j - 13*j = 0.
-2, 0, 2
Factor 8424/5*r**2 + 2/5*r**4 - 228/5*r**3 - 355914/5 - 18252*r.
2*(r - 39)**3*(r + 3)/5
Factor 2/3*l**2 - 2/9*l**3 + 2/9*l - 2/3.
-2*(l - 3)*(l - 1)*(l + 1)/9
Factor -138/7*f**2 - 2/7*f**4 + 0*f + 0 - 20*f**3.
-2*f**2*(f + 1)*(f + 69)/7
Factor 2/15*c**4 - 24/5*c**3 + 0*c - 152/15*c**2 + 0.
2*c**2*(c - 38)*(c + 2)/15
Suppose 1/4*j**5 + 0 + 39/2*j + 117/4*j**3 + 21/4*j**4 + 175/4*j**2 = 0. What is j?
-13, -6, -1, 0
Let m be (12/30)/((-3)/45). Let s be m/(-14) + (-22)/(-14). Determine p so that -93*p + 4 - 2 + 101*p + 6*p**s = 0.
-1, -1/3
Suppose 371/5*t - 746/5 + 3/5*t**3 + 224*t**2 = 0. Calculate t.
-373, -1, 2/3
Suppose -33659 + 33687 = 14*t. Factor 112/9*i - 2/9*i**t - 1568/9.
-2*(i - 28)**2/9
Suppose 0 = 7*a + 143 - 59. Let m be (2 + a)*(-2)/12. Solve 5/3*k**2 - m*k**4 - 2/3*k**3 + 0 + 2/3*k = 0 for k.
-1, -2/5, 0, 1
Let c be (-3990)/(-25935) - (-37)/13. Factor -8/19*u + 2/19*u**c + 2/19*u**2 - 8/19.
2*(u - 2)*(u + 1)*(u + 2)/19
Let b be -29 - 895/(-10) - 55. Suppose -8*j**4 + 2*j**3 - b*j + 1 + 7*j**2 + 7/2*j**5 = 0. Calculate j.
-1, 2/7, 1
Let t be (-140)/(-15)*9/(-7) - -14. Suppose 20/3*n + 44*n**t - 8/3 = 0. What is n?
-1/3, 2/11
Let w(v) be the second derivative of 0*v**3 - 1/4*v**5 + 0 + 80*v**2 - 5/2*v**4 - 116*v. Let w(d) = 0. Calculate d.
-4, 2
Let v be 5/((-10)/(-12)) + -9*(-8)/(-12). Let g(w) be the third derivative of 1/60*w**5 - 3/4*w**3 - 1/480*w**6 - 30*w**2 + 1/32*w**4 + 0 + v*w. Factor g(f).
-(f - 3)**2*(f + 2)/4
Factor 183*b**2 - 2614*b - 58*b**2 - 5*b**3 + 1855*b + 1879*b.
-5*b*(b - 32)*(b + 7)
Let u = -32/3 - -12. Let v be ((-74)/(-18) - (273 - 261)) + (-81)/(-9). Factor -v*p - u - 2/9*p**2.
-2*(p + 2)*(p + 3)/9
Factor -6*o**3 - 6 + 8*o**4 + 27*o**2 - 34*o - 9*o**2 - 33*o**2 + 10*o**2 - 37*o**2.
2*(o - 3)*(o + 1)**2*(4*o + 1)
Let j b