3 - 127*o**2 + 130*o + 52. Let m(t) = 6*k(t) - 13*y(t). Factor m(z).
(z - 2)*(z + 1)*(z + 128)
Let f(w) be the third derivative of -35*w**8/48 - 8*w**7/7 + 25*w**6/12 + 4*w**5 - 5*w**4/24 - 75*w**2 + 5*w + 2. Let f(n) = 0. What is n?
-1, 0, 1/49, 1
Let s be 1*10 + ((-28)/12)/((-182)/(-468)). Factor 9/2*w**3 + 11/2*w**2 + 7/4*w**s + 13/4*w + 1/4*w**5 + 3/4.
(w + 1)**4*(w + 3)/4
Let y(c) be the second derivative of -3/2*c**3 + 1/10*c**5 + 10*c - 3/2*c**4 - 1/360*c**6 + 0*c**2 + 0. Let f(w) be the second derivative of y(w). Factor f(b).
-(b - 6)**2
Factor 0 - 214*y + 215/2*y**3 + 106*y**2 + 1/2*y**4.
y*(y - 1)*(y + 2)*(y + 214)/2
Let 1/6*j**3 - 50/3*j + 1/2*j**2 + 16 = 0. Calculate j.
-12, 1, 8
Let l be 46927/17535 + 22/(-10). Let v(o) be the first derivative of -37 + 32/7*o - 38/7*o**2 - l*o**3. Suppose v(y) = 0. Calculate y.
-8, 2/5
Let c be (-132)/(-9) + 0 + -4. Let r = 233/11 + -677/33. Factor -c - r*u**2 - 16/3*u.
-2*(u + 4)**2/3
Let g(s) be the first derivative of -3*s**4/4 + 12*s**3 - 135*s**2/2 + 162*s + 848. Factor g(p).
-3*(p - 6)*(p - 3)**2
Suppose -6 = -6*h + 60. Factor 4*r**2 + 2*r**2 - 27*r + 8*r + h*r - r**3.
-r*(r - 4)*(r - 2)
Let l(s) be the third derivative of 1/120*s**5 + 0*s**4 + 0*s**3 + 0*s + 0 + 2*s**2 + 1/840*s**7 - 1/160*s**6. Factor l(h).
h**2*(h - 2)*(h - 1)/4
Let v(y) be the third derivative of 0*y**3 - 4/15*y**5 + 1/84*y**8 - 42*y**2 + 4/15*y**6 + 0*y + 0 - 2/21*y**7 + 0*y**4. Factor v(b).
4*b**2*(b - 2)**2*(b - 1)
Let g = 10/123901 - -3840911/247802. Factor -7*a**4 - 1/2*a**5 + 8 + 16*a**3 - a**2 - g*a.
-(a - 1)**3*(a + 1)*(a + 16)/2
Let l(q) = -q**2 - q + 1. Let t be 3 + (-3)/3 + 3. Let n(c) = 9 - 1379*c**2 + 7*c + 4 + 1354*c**2. Let u(m) = t*l(m) - n(m). Factor u(z).
4*(z - 1)*(5*z + 2)
Let r = 2/1089623 + 30509434/5448115. Solve -2/5*k**2 - 26/5*k + r = 0.
-14, 1
Let i(j) = -17*j + 20. Let d be i(1). Factor 188*z**3 - 22188*z - 229090 - 192*z**d - 88938 - 516*z**2.
-4*(z + 43)**3
Let m = 214561/4 - 53638. Find s, given that 9/4*s - m*s**3 - 15/4*s**2 + 3/4 + 3*s**4 = 0.
-1, -1/4, 1
Let g(b) = 2*b - 7. Let k be g(7). Suppose k*v - 35 = -14. Factor 3*t + 10*t**v + 3*t**3 - 10*t**3 + t**2 - 7*t**2.
3*t*(t - 1)**2
Let z(k) = 7*k**3 + 59*k**2 + 10*k + 21. Let g be z(-7). Let i = 444 - g. Factor 3/7*v**i + 0 + 0*v + 6/7*v**2.
3*v**2*(v + 2)/7
Suppose w = 3*j + 13, 2*w - j - 4*j = 23. Suppose 6*a - 7*a + w = 0. Factor -3*r**2 - a*r - 2 - r**2 + 2*r**2.
-2*(r + 1)**2
Let v = -2446 - -2440. Let a be (-3 + 0)/(v/4). Factor 0 + 3/2*p**3 + 0*p - 2*p**a + 1/2*p**4.
p**2*(p - 1)*(p + 4)/2
Let t = 6/48781 + 1658488/536591. Solve 4/11*g**4 - 16/11*g**2 - 10/11*g**3 + t*g - 12/11 = 0 for g.
-2, 1/2, 1, 3
Suppose 4 = 3*g - 3*v - 2*v, 4*g = -4*v + 48. Suppose -6*i + g = -4*i. Factor t**3 + t**5 + i*t**2 - 3*t**5 + 0*t**5 + 5*t**3.
-2*t**2*(t - 2)*(t + 1)**2
Find t, given that 1/2*t**5 + 0 - 465/2*t**2 - 175*t + 33/2*t**4 - 83/2*t**3 = 0.
-35, -2, -1, 0, 5
Let q(j) be the second derivative of -j**7/42 + 221*j**6/30 - 12099*j**5/20 - 4107*j**4/4 - 7716*j. Suppose q(s) = 0. What is s?
-1, 0, 111
Let d(r) = r**2 + r. Suppose 8*w - 12 = 2*w. Let u(x) = 3*x**3 + 16*x - 6*x**w + 521 + 11*x - 521. Let s(h) = -9*d(h) + u(h). Suppose s(o) = 0. Calculate o.
0, 2, 3
Suppose 22 = -4*n - x, -4*x + 38 = -5*n - 0*n. Let r be n/8*-1 + 36/(-304). What is i in r - 18/19*i**2 + 50/19*i = 0?
-2/9, 3
Let w(h) = -240*h**4 - 310*h**3 + 1385*h**2 - 1345*h + 85. Let m(y) = 17*y**4 + 22*y**3 - 99*y**2 + 96*y - 6. Let t(f) = -85*m(f) - 6*w(f). Factor t(s).
-5*s*(s - 3)*(s - 1)*(s + 6)
Factor -646*g**2 + 978*g**3 + 10 - 848*g**2 - 2*g**5 - 154*g**4 - 7 - 3.
-2*g**2*(g - 3)**2*(g + 83)
Let w(z) be the first derivative of z**3/2 - 615*z**2/2 + 5410. Factor w(o).
3*o*(o - 410)/2
Let r(h) be the second derivative of -3*h**4/10 + 412*h**3/15 + 92*h**2/5 - 8*h - 4. Find y, given that r(y) = 0.
-2/9, 46
Let l(s) = 38*s**3 - 22*s**2 - 80*s + 16. Let g(q) = 15*q**3 - 8*q**2 - 32*q + 6. Let k(j) = 12*g(j) - 5*l(j). Let k(h) = 0. Calculate h.
-1, 2/5, 2
Let j(q) be the first derivative of q**6/30 - q**4/4 + q**3/3 + 51*q + 9. Let a(z) be the first derivative of j(z). Factor a(g).
g*(g - 1)**2*(g + 2)
Let d(m) be the second derivative of m**4/15 - 10*m**3/3 + 923*m. Determine k, given that d(k) = 0.
0, 25
Find j, given that 177*j - 2682/5 + 3/5*j**2 = 0.
-298, 3
Let a(f) be the second derivative of -3*f**5/140 + 30*f**4/7 + f**3/14 - 180*f**2/7 - 7*f - 118. Factor a(c).
-3*(c - 120)*(c - 1)*(c + 1)/7
Let k(y) be the first derivative of y**9/6048 + y**8/840 + y**7/1680 - y**6/120 - 130*y**3/3 - 109. Let n(m) be the third derivative of k(m). Factor n(u).
u**2*(u - 1)*(u + 2)*(u + 3)/2
Let x = 222 - 218. Factor -7*q**5 - 105*q**3 + 60*q**x + 113*q**2 + 2*q**5 - 63*q**2.
-5*q**2*(q - 10)*(q - 1)**2
Let r = 141 + -139. Factor 55 - 6*l**r - 6*l**2 - 32*l + 14*l**2 - 18*l - 7*l**2.
-5*(l - 1)*(l + 11)
Let q(l) = 10*l**2 - 1397*l + 164268. Let z(a) = 3*a**2 - 466*a + 54756. Let f(b) = -2*q(b) + 7*z(b). Find p, given that f(p) = 0.
234
Let b = -816 + 825. Suppose -5*k + 3*v + 19 = 0, 40*v = 37*v - b. Let 0*f**k + 4/3*f**4 + 2*f**3 + 0*f - 2/3*f**5 + 0 = 0. What is f?
-1, 0, 3
Factor 90/7*m**2 + 174/7*m - 21866/7 + 2/7*m**3.
2*(m - 13)*(m + 29)**2/7
Factor 2/7*n**4 - 724/7*n**3 + 66954/7*n**2 - 259192/7*n + 256328/7.
2*(n - 179)**2*(n - 2)**2/7
Suppose -4*s + 3*c = 108, 3*s = -5*c - 49 - 3. Let f be (-27 - s)*(-8)/6. Factor 19*m**4 + 4*m**5 - 3*m**4 - 4*m**3 - 12*m**4 - f*m**2.
4*m**2*(m - 1)*(m + 1)**2
Let g be 2*12 - (-108194)/(-4512). Let q(m) be the second derivative of -5/12*m**3 + 0 - g*m**4 - 25/8*m**2 - 45*m. Factor q(x).
-(x + 5)**2/4
Let n(s) = -36*s + 74. Let m be n(2). Let a(g) be the third derivative of 0*g**3 + 12*g**m + 0 - 1/10*g**6 - 1/4*g**5 + 0*g - 1/8*g**4. Solve a(p) = 0.
-1, -1/4, 0
Let k(m) be the first derivative of -2*m**3/27 + 6*m**2 + 230*m - 7628. Factor k(w).
-2*(w - 69)*(w + 15)/9
Let h be 6 + (12/(-10))/((-10)/(-25)). Suppose h*i**4 - 8*i**4 - 2*i**3 - 8*i**3 = 0. Calculate i.
-2, 0
Let b(m) be the first derivative of -m**6/60 - m**5/10 - m**4/6 + 9*m**2 + 3*m - 18. Let f(q) be the second derivative of b(q). Solve f(d) = 0.
-2, -1, 0
Let k = 182679 - 913392/5. Let 21/5*z**2 - 18/5*z + 0*z**3 - k*z**4 + 0 = 0. Calculate z.
-3, 0, 1, 2
Let t(p) be the second derivative of -p**7/42 - 11*p**6/15 - 51*p**5/20 + 63*p**4/2 - 9*p + 1. Factor t(z).
-z**2*(z - 3)*(z + 7)*(z + 18)
Let d(p) be the first derivative of 52 + 0*p + 1/9*p**4 + 8*p**2 - 16/9*p**3. Factor d(n).
4*n*(n - 6)**2/9
Let k(i) = 10 - 1 + 5*i**2 - 1 + i**3 - 4. Let b be k(-5). What is l in 4*l**b - 5*l**5 - 12*l**4 + l**5 - 4*l + 8*l**3 + 16*l**2 - 8 = 0?
-2, -1, 1
Let m(z) be the first derivative of 238*z**4 + 125 - 224*z - 243*z**4 - 216*z**2 + 104*z**3 + 99. Determine q so that m(q) = 0.
-2/5, 2, 14
Let d be (-1 - -1)/(198 + -200). Let n(a) be the second derivative of -3*a + d - a**2 - 2/3*a**3 - 1/6*a**4. Determine b so that n(b) = 0.
-1
Suppose -j = -3*q - 0 - 5, 4*j - q - 9 = 0. Suppose -5*x - j*x = -147. Let -3*u**4 + 9*u - 6*u - x*u**3 - 4 - 2 - 3*u**5 + 21*u**2 + 9*u**5 = 0. What is u?
-2, -1/2, 1
Suppose 0 = -2*t - 3*u + 10, 11 = 2*t + u + 5. Factor 4*i**3 - 14 - 168*i - i**3 - 9*i**t - 1 + 141*i.
3*(i - 5)*(i + 1)**2
Let 6069/4*z**4 - 2367/2*z**2 + 2805/4*z**3 - 885*z - 150 = 0. What is z?
-10/17, -2/7, 1
Suppose -24 = 2*x + 2*d - 36, x - d = 4. Suppose -24*w - x*w**2 + 31*w**2 - 23*w**2 = 0. Calculate w.
0, 8
Suppose 0 = r - 0 + 3, 5*r + 5475 = 4*u. Let v be (2 - -1)/(u/260). Solve 8/7*c**2 - v + 2*c = 0 for c.
-2, 1/4
Let u(p) be the second derivative of p**5/40 - 7*p**4/12 + 43*p**3/12 - 15*p**2/2 + 14033*p. Factor u(q).
(q - 10)*(q - 3)*(q - 1)/2
Let l(b) = -24*b**2 + 28*b + 20. Let i(w) = -23*w**2 + 22*w + 17. Let x(v) = -6*i(v) + 4*l(v). Suppose x(d) = 0. Calculate d.
-11/21, 1
Let x(b) = -b**2 + 1. Let p = 135 - 132. Let h(c) = 5*c**2 - 242 - 12*c**4 + 8*c**5 + p*c**2 + 238. Let a(u) = -h(u) - 4*x(u). Let a(d) = 0. What is d?
-1/2, 0, 1
Let t(j) be the first derivative of -5/6*j**6 + 55/4*j**4 + 0*j - 5*j**3 + 19 - 25*j**2 + 3*j**5. Suppose t(z) = 0. Calculate z.
-2, -1, 0, 1, 5
Let i(o) be the first derivative of -o**6/135 - o**5/30 + o**4/6 - 5*o**3/27 + 38*o - 85. Let l