*u + 4351. Let c(x) = 4*a(x) + 5*n(x). Factor c(d).
(d - 1)*(d + 1)*(d + 66)**2
Let f(o) be the second derivative of o**6/105 - 11*o**5/70 + 15*o**4/14 - 27*o**3/7 + 54*o**2/7 + 1400*o. Factor f(p).
2*(p - 3)**3*(p - 2)/7
Let x be -4 + (-5 - -2 - (-2 + -8)). Solve 42*n**3 - 2*n**4 - 62*n**x - 111 + 111 + 2*n**5 - 16*n**2 = 0 for n.
-2, -1, 0, 4
Suppose 5*u - 22 = -4*a - 0*u, 4*u + 7 = 5*a. Let p be ((-120)/(-16) + -7)/((-6)/(-4)). Let 0 + 2/3*c - 1/3*c**a - p*c**2 = 0. What is c?
-2, 0, 1
Factor 26*u**2 + 0 - 2/3*u**3 - 76/3*u.
-2*u*(u - 38)*(u - 1)/3
Factor 1743*q**2 + 1654*q**2 + 34656 - 87552*q - 7*q**3 - 1111*q**2 - 8*q**3.
-3*(q - 76)**2*(5*q - 2)
Determine x, given that 8 - 22/9*x**2 - 28/9*x + 1/9*x**4 + 7/9*x**3 = 0.
-9, -2, 2
Let q(v) be the first derivative of -v**5/270 - 5*v**4/36 - 3*v**2 + 8*v + 59. Let s(k) be the second derivative of q(k). Factor s(w).
-2*w*(w + 15)/9
Determine n, given that -155235/7*n + 154449/7 + 787/7*n**2 - 1/7*n**3 = 0.
1, 393
Let n(r) be the third derivative of -r**7/1155 + 57*r**6/220 - 7049*r**5/330 - 7453*r**4/44 - 5046*r**3/11 - 1487*r**2. Find g, given that n(g) = 0.
-2, -1, 87
Let q = 19022 - 19019. Let k = 2639/8 - 328. What is i in 39/8*i**2 - 3 - 3/8*i**q + 3/4*i - k*i**4 - 3/8*i**5 = 0?
-4, -2, -1, 1
Let b(z) be the first derivative of 4*z**5 + 195*z**4/4 - 530*z**3/3 + 60*z**2 + 8517. Factor b(n).
5*n*(n - 2)*(n + 12)*(4*n - 1)
Let r(d) be the second derivative of -d**4/16 - 355*d**3/4 + 534*d**2 + 300*d. Factor r(x).
-3*(x - 2)*(x + 712)/4
Let x(r) be the third derivative of -r**6/210 + 8*r**5/15 - 56*r**4/3 - 4210*r**2. Factor x(w).
-4*w*(w - 28)**2/7
Let j(i) = -5*i**2 - 77*i - 22. Let p be j(-15). Let z be (-12)/9*(p/16 - 2). Determine l, given that 4/5*l**z + 1/5*l**5 + 4/5*l**4 + 1/5*l + 0 + 6/5*l**3 = 0.
-1, 0
Let u(z) = 2*z**5 + 8*z**4 + z**2 + z - 1. Let v(p) = -5*p**5 - 13*p**4 + 10*p**3 - 109*p**2 + 130*p - 46. Let b(l) = -6*u(l) - 2*v(l). Factor b(g).
-2*(g - 1)**3*(g + 7)**2
Let q(v) be the first derivative of 2*v**5/55 - 5*v**4/22 - 28*v**3/33 + 2106. Find s, given that q(s) = 0.
-2, 0, 7
Let a(u) be the second derivative of -u**5/40 - u**4/3 - u**3 - 218*u + 4. Suppose a(y) = 0. Calculate y.
-6, -2, 0
Let g(w) be the first derivative of 3/2*w**2 + 0*w**3 + 3/10*w**5 - 3/4*w**4 + 13 - 3/2*w. Factor g(r).
3*(r - 1)**3*(r + 1)/2
Let m(s) be the second derivative of -9/2*s**2 - 29/36*s**3 + s - 1/72*s**4 + 0. Let m(d) = 0. Calculate d.
-27, -2
Factor 0 - 1278/5*f**2 + 2/5*f**3 + 0*f.
2*f**2*(f - 639)/5
Let b(c) be the first derivative of c**5/35 + c**4/14 + 5150. Factor b(f).
f**3*(f + 2)/7
Let m(a) be the third derivative of -a**6/120 + 41*a**5/60 - 5*a**4/3 - 31*a**2. Suppose m(q) = 0. What is q?
0, 1, 40
Let z(o) be the first derivative of 0*o**2 - 1/120*o**4 - 1/60*o**3 + 26 - 20*o. Let c(a) be the first derivative of z(a). Factor c(p).
-p*(p + 1)/10
Let p be (-1 - 2) + 3 + 84/12. Let w be (-46)/(-51) - (p - (-38)/(-6)). Factor 2/17*d**2 - w - 2/17*d.
2*(d - 2)*(d + 1)/17
Factor -154*c + 0 + 2/5*c**2.
2*c*(c - 385)/5
Find j such that 21*j**3 - 103*j**4 - 20*j + 8 - 10*j**2 + 7 - j**3 + 54*j**4 + 44*j**4 = 0.
-1, 1, 3
Let v be (-4 - (7 + -10))/((-4)/28) - 4. Solve -4/3*h**2 + 14/3*h**v + 0 + 40/3*h**4 + 0*h + 22/3*h**5 = 0.
-1, 0, 2/11
Let w(v) be the second derivative of 2/15*v**6 - 2*v - 242*v**2 + 40*v**4 - 80 + 22/5*v**5 - 44/3*v**3. Factor w(s).
4*(s - 1)*(s + 1)*(s + 11)**2
Let i(p) be the second derivative of p**7/112 - 189*p**6/80 + 15381*p**5/80 - 63355*p**4/16 + 589425*p**3/16 - 2838375*p**2/16 + p + 786. Factor i(k).
3*(k - 87)**2*(k - 5)**3/8
Let t(x) be the third derivative of -x**7/140 + 3*x**6/4 - 29*x**5/10 - 360*x**2. Determine b so that t(b) = 0.
0, 2, 58
Let d(r) = -4*r + 4. Let j be d(-11). Suppose -6*v = 10*v - j. Solve -2*t**3 - 5*t**v + 5*t**3 - 2*t + 4*t = 0 for t.
-1, 0, 1
Suppose -u**2 + 10 - 9 - 20*u - 61 - 9*u - 40 = 0. What is u?
-25, -4
Suppose -4 - 146 = -6*t. Let k be (-2)/(-8) + (3 - t/20). Factor 30*r + 2*r**3 - r**2 - 16*r + 3*r**k - 18*r.
2*r*(r - 1)*(r + 2)
Determine f so that -8*f**4 + 2338 - 2122 + 620*f**3 - 33*f**2 + 114*f - 3*f**2 - 92*f**4 - 654*f = 0.
-1, 3/5, 6
Let m(c) be the third derivative of 0*c + 4/35*c**5 - 1/2*c**4 + 40 - c**2 + 20/21*c**3 - 1/210*c**6. Factor m(p).
-4*(p - 10)*(p - 1)**2/7
Let c(w) be the first derivative of w**4/8 - 157*w**3/6 + 3579. Determine a, given that c(a) = 0.
0, 157
Let z be (-1276)/(-220) + (-174)/(-45). Suppose -46/3*k + 11/6*k**3 - 8/3*k**4 + z*k**2 + 4 + 1/2*k**5 = 0. Calculate k.
-2, 1/3, 2, 3
Let p(o) be the third derivative of 2*o**7/35 - 11*o**6/30 - 4*o**5/15 + 212*o**2 + 7*o. Factor p(l).
4*l**2*(l - 4)*(3*l + 1)
Suppose 0 = -6*m + 846 + 72. Let c = m - 109. Factor 19*t + 17*t + 12*t**2 - c*t - 4*t**4.
-4*t*(t - 1)**2*(t + 2)
Let q = -304/13 + 63853/2730. Let b(u) be the second derivative of 1/70*u**5 - 1/84*u**4 + 0*u**2 + 0 + q*u**6 - 1/21*u**3 + 10*u. Factor b(l).
l*(l - 1)*(l + 1)*(l + 2)/7
Let u be ((-1)/2)/(-1160 + 1157). Let u*b**2 + 3/2 + b = 0. Calculate b.
-3
Let m(b) = 275*b - 1097. Let i be m(4). Let c(s) be the first derivative of 0*s**2 + 10/3*s**i + 0*s + 5/4*s**4 + 1. Find o such that c(o) = 0.
-2, 0
Let p(l) = -l**2 - 42*l - 270. Let j be p(-8). Find b such that -8*b**2 + 235*b + 30*b**2 - 19*b**2 - 5*b**3 + 68*b**2 + 120 + 39*b**j = 0.
-1, 24
Let b = -74 - -78. Suppose -z - 3*v - 10 = -0*v, 0 = -v - b. Find r, given that 238*r**3 + 224*r + 16 + 51*r**z - 312*r + 98*r**4 - 15*r**2 = 0.
-2, -1, 2/7
Let h be ((-110)/2 + 55)/12. Determine i so that -4/11*i**5 - 24/11*i**3 + h + 0*i + 18/11*i**4 + 8/11*i**2 = 0.
0, 1/2, 2
Let m(f) be the third derivative of -f**6/780 - 171*f**5/130 + f**4/156 + 171*f**3/13 + 3*f**2 + 7*f + 5. Suppose m(a) = 0. Calculate a.
-513, -1, 1
Let j = -198564 - -198566. Find y, given that 3/4*y + 1/4*y**j - 1 = 0.
-4, 1
Let j = -339158 - -339158. Let v be (-1)/3 + 34/66. Factor -v*i**2 + 0 + j*i - 16/11*i**3 - 32/11*i**4.
-2*i**2*(4*i + 1)**2/11
Suppose 60 = 4*a + 2*q - 50, 0 = -3*q + 3. Let y be (-24)/(-54) + 42/a. Solve -3/7*f**3 + 3/7*f**5 + 0 + 0*f + 9/7*f**4 - 9/7*f**y = 0 for f.
-3, -1, 0, 1
Let t(o) be the first derivative of o**5/150 - o**4/20 - 4*o**3/15 - 2*o**2 + 5*o + 70. Let w(s) be the second derivative of t(s). Factor w(l).
2*(l - 4)*(l + 1)/5
Suppose -4*q - 12 = -4*u, -2*u - 4*q = q + 22. Let o be ((-2 + 5 - 2)*0)/u. Suppose 0*g**2 + o - 2/7*g + 2/7*g**3 = 0. What is g?
-1, 0, 1
Let f(z) be the second derivative of -3*z**5/40 + 17*z**4/4 - 65*z**3/4 + 24*z**2 + 1078*z. What is q in f(q) = 0?
1, 32
Factor -94/3*j**2 + 2/3*j**3 + 182/3*j - 30.
2*(j - 45)*(j - 1)**2/3
Suppose -3*c + 3*q + 12 = q, 3*q = -3*c - 3. Factor g + 1/4*g**5 + 0 + 7/4*g**4 + 13/4*g**c + 15/4*g**3.
g*(g + 1)**3*(g + 4)/4
Let m(k) = 6*k**4 - 23*k**3 + 4*k**2 + 28*k + 5. Let v(b) = -4*b**4 + 24*b**3 - 4*b**2 - 28*b - 4. Let y(w) = -4*m(w) - 5*v(w). Factor y(f).
-4*f*(f - 1)*(f + 1)*(f + 7)
Let n(z) be the first derivative of z**6/4 - z**5/2 - z**4/2 + 2*z**3/3 - 1143. Solve n(u) = 0 for u.
-1, 0, 2/3, 2
Let f be (0 + 4)/(0 - (6 - 8)). Factor 15*c**3 - 20*c**5 + 35*c**5 + 11*c**f + 21*c**3 - 54*c**4 + 13*c**2.
3*c**2*(c - 2)**2*(5*c + 2)
Let d(u) be the third derivative of u**6/8 - 2*u**5/3 - 25*u**4/24 + 5*u**3 - 749*u**2. Solve d(n) = 0.
-1, 2/3, 3
Suppose -3*r + 115 = -4*j - 117, j = -r + 75. Suppose -r = -u - 72. Determine s, given that 8/7 - 2*s**u + 4*s**3 - 8/7*s**5 + 26/7*s**2 - 40/7*s = 0.
-2, 1/4, 1
Let c(w) be the third derivative of w**7/630 + 7*w**6/360 + w**5/15 - w**4/18 - 8*w**3/9 - 25*w**2 - 5. Let c(s) = 0. Calculate s.
-4, -2, 1
Factor 68/3*x**2 - 2/3*x**3 + 6*x - 204.
-2*(x - 34)*(x - 3)*(x + 3)/3
Let h(p) be the first derivative of p**6/240 - 19*p**5/240 + 37*p**4/96 - 7*p**3/12 - p**2 - 8*p - 10. Let k(l) be the second derivative of h(l). Factor k(c).
(c - 7)*(c - 2)*(2*c - 1)/4
Let s(j) = -7*j**2 - 32*j - 69. Let a(d) = 0*d**2 - 3*d - 150 - 154 + 321 + 11*d + 2*d**2. Let o(k) = -22*a(k) - 6*s(k). Factor o(x).
-2*(x - 10)*(x + 2)
Let o be -1 + 6 + (-38 - -35). What is g in 2/5*g**4 + 0 + 32/5*g**o - 14/5*g**3 - 24/5*g = 0?
0, 2, 3
Let k(h) = 350*h + 66153. Let i be k(-189). Factor -99/2*m**2 - 15 - 93/2*m - 39/2*m**i - 3/2*m**4.
-3*(m + 1)**3*(m