) = -s**3 + 123*s**2 + 3722*s - 3846. Let q(z) = -2*z**3 + 2*z - 2. Let n(k) = -j(k) + q(k). Factor n(o).
-(o - 1)*(o + 62)**2
Let h(c) be the second derivative of 0*c**3 + 1/5*c**5 + 0*c**2 + 1/4*c**4 + 116*c + 1/30*c**6 + 0. Factor h(d).
d**2*(d + 1)*(d + 3)
Suppose -2*g + 495 - 491 = 0. Let b = 7 - 1. Factor -24*h - 28*h**2 + 26*h**g + b*h**2.
4*h*(h - 6)
Let l(q) = -33*q + 92 + 6*q + 115 + 5*q - 12*q. Let g be l(6). Suppose -1/3*w + 0 - w**g - 1/3*w**4 - w**2 = 0. What is w?
-1, 0
Let p(v) be the third derivative of -35*v**3 + 205/24*v**4 + 1/12*v**5 + 0*v - 248*v**2 + 0. Factor p(f).
5*(f - 1)*(f + 42)
Let w = 93 + -91. Let z(k) = 3*k + 26. Let f be z(-8). Factor -8*r + 0*r + f*r**2 + 0*r**2 + 2*r**w.
4*r*(r - 2)
Let z(s) be the third derivative of 0*s + 5/6*s**6 + 56*s**2 + 0*s**3 - 5/336*s**8 + 0*s**4 + 1/21*s**7 + 0 + 2*s**5. Determine a, given that z(a) = 0.
-2, 0, 6
Let g(n) be the third derivative of 17*n**5/720 - 23*n**4/288 + n**3/12 - 10*n**2 + 14. Factor g(p).
(p - 1)*(17*p - 6)/12
Let o be (-200)/(-14) - (-1 + 5). Let i be (-406)/(-49) - (-24)/(-3). What is p in -26/7*p - 96/7*p**2 - i - o*p**3 = 0?
-1, -1/6
Let q(v) be the first derivative of -v**3 - 873*v**2 - 254043*v - 560. Factor q(s).
-3*(s + 291)**2
Suppose 77*m + 336 = 84*m. Find o such that 13*o - 64*o**4 - 5*o**5 + m*o**2 - 7*o**5 + 33*o + 40*o - 56*o**3 - 18*o + 16 = 0.
-4, -1, -1/3, 1
Let q(r) be the second derivative of -30*r**6 - 123*r**5 + 176*r**4/3 - 8*r**3 + 152*r + 6. Factor q(s).
-4*s*(s + 3)*(15*s - 2)**2
Let x(f) be the first derivative of -49*f**6/3 - 119*f**5/10 + 213*f**4/4 - 112*f**3/3 + 8*f**2 - 3363. Determine k, given that x(k) = 0.
-2, 0, 1/4, 4/7
Let f(c) be the first derivative of c**5/270 - 5*c**4/27 - 44*c**3/27 + c**2 + 27*c - 73. Let l(k) be the second derivative of f(k). Factor l(z).
2*(z - 22)*(z + 2)/9
Let y(x) be the second derivative of 1681*x**5/60 + 574*x**4/3 + 110*x**3/3 + 8*x**2/3 + 1048*x. Factor y(k).
(k + 4)*(41*k + 2)**2/3
Let f be 23/(-12 + 2156/168) + 3 + -17. Factor 8 + 4/5*h**3 + 32/5*h**2 + f*h.
4*(h + 1)*(h + 2)*(h + 5)/5
Let k(v) be the first derivative of -4*v**5/5 + 17*v**4 - 188*v**3/3 - 130*v**2 + 8495. Find r, given that k(r) = 0.
-1, 0, 5, 13
Let p be (-880)/390*143/(-110). Factor -106/15*u + p - 2/3*u**2.
-2*(u + 11)*(5*u - 2)/15
Let s(f) = 6*f**2 - 21*f + 13. Let h(t) = -t**2 + 1. Let q(x) = -7*x**2 + 20*x - 13. Let v(z) = h(z) - q(z). Let l(j) = 6*s(j) - 5*v(j). Factor l(n).
2*(n - 4)*(3*n - 1)
Let p(x) = 106*x**3 - 3*x**2 + 2*x + 15. Let y be p(0). Suppose 25/2*l**2 + y*l + 0 + 5/2*l**3 = 0. What is l?
-3, -2, 0
Suppose -12 = -3*t - 3*g - 54, -5*t + 3*g - 102 = 0. Let f be 15*(-33)/(-110)*t/(-8). Suppose 1/8*i**2 + 9/4*i + f = 0. What is i?
-9
Let o(k) be the first derivative of 11/27*k**3 + 30*k + 2/9*k**2 + 2/9*k**4 + 36. Let b(n) be the first derivative of o(n). Factor b(p).
2*(3*p + 2)*(4*p + 1)/9
Solve 175232/13 - 1184/13*z + 2/13*z**2 = 0.
296
Suppose 51 = 4*w - 3*g, -2*g + 5 = 7. Factor t - 4*t + 3*t**5 - 3*t + 6*t**3 - w*t**4 + 12*t**2 - 3*t.
3*t*(t - 3)*(t - 1)**2*(t + 1)
Factor -24/13*q - 2/13*q**2 + 90/13.
-2*(q - 3)*(q + 15)/13
Let j(s) be the second derivative of s**6/80 + 21*s**5/8 + 3243*s**4/16 + 24299*s**3/4 - 311469*s**2/16 + 7*s - 31. Factor j(i).
3*(i - 1)*(i + 47)**3/8
Let l(s) = -s**3 - 12*s**2 - 16*s. Let v = -9 + 16. Let j(m) = 32*m + 2*m**3 + 23*m**2 - 22*m + 22*m. Let r(u) = v*l(u) + 4*j(u). Factor r(g).
g*(g + 4)**2
Let p(k) = -94*k**2 - 163*k + 545. Let c(y) = 18*y**2 - y - 1. Let d(u) = -5*c(u) - p(u). Factor d(o).
4*(o - 3)*(o + 45)
Let r(x) be the first derivative of -x**4/60 - 2*x**3/15 - 3*x**2/10 - 19*x - 20. Let t(v) be the first derivative of r(v). Determine s so that t(s) = 0.
-3, -1
Suppose 6/7*i**3 - 12/7 - 22/7*i + 2/7*i**4 - 6/7*i**2 = 0. What is i?
-3, -1, 2
Suppose 49*w + 380 = -382*w + 1673. Solve 35*p - 8 - 47/2*p**2 - 7/2*p**w = 0.
-8, 2/7, 1
Let o(j) be the first derivative of 27*j**5/80 - 29*j**4/16 + 3*j**3 - 3*j**2/2 + 94*j - 128. Let n(w) be the first derivative of o(w). Factor n(y).
3*(y - 2)*(y - 1)*(9*y - 2)/4
Let m(v) be the first derivative of -2*v**3/3 + 27*v**2 - 830. Let m(x) = 0. What is x?
0, 27
Let h(z) be the third derivative of z**6/204 + 3*z**5/85 - z**4/3 + 8*z**3/17 - 2072*z**2. What is t in h(t) = 0?
-6, 2/5, 2
Let f(c) = c**3 + 12*c**2 - 2*c + 12. Let y be f(-12). Factor 38*m + 3*m**2 + y*m + 16*m + 0*m**2.
3*m*(m + 30)
Find g such that -357*g**2 - 42*g**5 + 80*g**5 + 10353*g**2 - 41*g**5 - 3003*g**3 + 246*g**4 = 0.
0, 7, 68
Factor -5/2*s**2 - 480 - 70*s.
-5*(s + 12)*(s + 16)/2
Let i(d) be the third derivative of -d**5/450 + 143*d**4/180 + 16*d**3/5 - 10444*d**2. Suppose i(y) = 0. What is y?
-1, 144
Let i(p) = -15*p**4 + 125*p**3 - 155*p**2 - 475*p + 805. Let h(a) = -37*a**4 + 312*a**3 - 388*a**2 - 1188*a + 2012. Let z(x) = -5*h(x) + 12*i(x). Factor z(c).
5*(c - 10)*(c - 2)**2*(c + 2)
Let r(d) be the second derivative of 0 + 7/90*d**6 - 17/36*d**4 - 4/15*d**5 + 1/3*d**3 + 0*d**2 + 9*d. Solve r(j) = 0.
-1, 0, 2/7, 3
Let i(m) be the second derivative of -m**5/40 - 11*m**4/4 + 67*m**3/12 + 4296*m. Find c such that i(c) = 0.
-67, 0, 1
Let o(y) be the third derivative of -1/195*y**5 - 98*y**2 + 0*y + 0*y**4 + 0 + 1/780*y**6 + 1/1365*y**7 + 0*y**3. What is u in o(u) = 0?
-2, 0, 1
Suppose 60 = 4*m - g, 3*g + 54 = 6*m - 3*m. Let z be 4/m - 40/(-7). Factor 15*n**2 + z*n**2 - 4*n**2 + 3*n**3 - 5*n**2.
3*n**2*(n + 4)
Let j = 722 + -644. Let a = j - 153/2. Suppose -2*v + a + 1/2*v**2 = 0. Calculate v.
1, 3
Factor -1/8*f**4 - 157/8*f**2 - 153/4 - 25/8*f**3 - 375/8*f.
-(f + 2)*(f + 3)**2*(f + 17)/8
Let d(j) be the third derivative of j**9/90720 - j**7/1080 + j**6/180 - 17*j**5/60 - 39*j**2. Let v(w) be the third derivative of d(w). Factor v(b).
2*(b - 2)*(b - 1)*(b + 3)/3
Find o such that 2048672/11*o - 682112/11 - 7010/11*o**2 + 6/11*o**3 = 0.
1/3, 584
Let l(r) be the third derivative of r**9/272160 - r**8/30240 - r**7/5670 - 53*r**5/60 + r**2 - 7. Let m(j) be the third derivative of l(j). Factor m(w).
2*w*(w - 4)*(w + 1)/9
Let s(o) be the second derivative of o**4/90 - 74*o**3/15 + 872*o**2/15 - 7156*o. Find q, given that s(q) = 0.
4, 218
Let n(l) = -l**2 + 58*l - 312. Suppose -x = -0*x - 6. Let p be n(x). Let 0 - 2/3*a**5 + 2*a**3 + 0*a + 4/3*a**2 + p*a**4 = 0. What is a?
-1, 0, 2
Factor 5*h - 1822*h**2 - 1820*h**2 - 1806*h**2 + 5463*h**2 + h**3 - 195 + 6*h.
(h - 3)*(h + 5)*(h + 13)
Let k(m) be the third derivative of m**5/180 + 29*m**4/36 - 124*m**3/9 - 3990*m**2. Factor k(g).
(g - 4)*(g + 62)/3
Factor 54/13 - 2/13*l**2 + 4*l.
-2*(l - 27)*(l + 1)/13
Let v be (-96)/(-50) - ((-6)/50)/(141/94). Factor -2/3*l**4 + 2/3*l**v - l**3 + 1/6*l**5 + 5/6*l + 0.
l*(l - 5)*(l - 1)*(l + 1)**2/6
Factor 350 - 296*f**4 + 1354*f**3 + 304*f - 250 + 28*f**5 + 380 - 1400*f**2 - 310*f**3.
4*(f - 5)*(f - 2)**3*(7*f + 3)
Suppose -5*h + 0 + 65 = 0. Let z(n) = n**3 + 74*n**2 - 74*n + 79. Let w be z(-75). Factor -13*c**w - 8*c**2 - h*c**4 - 6*c**3 - 10*c**4 + 38*c**4.
2*c**2*(c - 4)*(c + 1)
Let m(p) = -10*p**3 - 10*p**2 - 8*p + 6. Let a(d) = 8*d**3 + 3*d**2 + 9*d - 7. Let t(y) = 2*a(y) + 3*m(y). Factor t(v).
-2*(v + 1)**2*(7*v - 2)
Let p(n) be the second derivative of 11*n**6/540 - 7*n**5/60 - n**4/18 + n**3/2 - 22*n. Let f(s) be the second derivative of p(s). Factor f(o).
2*(o - 2)*(11*o + 1)/3
Let r be (-1)/6 - 21/(-132) - 3/(-33). Let k(o) be the second derivative of 0 + 14*o - 1/5*o**2 - r*o**3 + 7/120*o**4 + 1/100*o**5. Factor k(x).
(x - 1)*(x + 4)*(2*x + 1)/10
Factor -3008/3*d**2 - 13824/5 + 160*d**3 + 8192/3*d - 2/15*d**5 - 26/3*d**4.
-2*(d - 4)**4*(d + 81)/15
Factor -r**3 + 23740*r - 8*r**3 - 1540*r + 191660 + 14*r**3 - 705*r**2.
5*(r - 74)**2*(r + 7)
Let d(m) be the second derivative of -m**6/210 + m**5/28 + 11*m**4/42 - 4*m**3/3 + 442*m + 3. Factor d(a).
-a*(a - 7)*(a - 2)*(a + 4)/7
Let p be (4 - -2)/3 + 0 + (-5 - -5). Let o(r) be the first derivative of -1/2*r + 1/6*r**3 + 0*r**p + 16. Factor o(n).
(n - 1)*(n + 1)/2
Let m(q) be the second derivative of q**6/24 - 125*q**4/24 - 79*q**2 + 50*q. Let l(k) be the first derivative of m(k). Factor l(s).
5*s*(s - 5)*(s + 5)
Let i = 294299 - 294296. Factor -22/3*j**i + 0 - 2/3*j**4 - 20/3*j**2 + 0*j.
-2*j**2*(j + 1)*(j + 10)/