ative of -s**6/72 + 3*s**5/8 - 5*s**4/3 + 10*s**3/3 - 7*s - 106. Let j(f) be the third derivative of m(f). Factor j(p).
-5*(p - 8)*(p - 1)
Let l(o) be the second derivative of -o**4/3 - 2*o**3 + 56*o**2 + 176*o - 4. Suppose l(k) = 0. Calculate k.
-7, 4
Let l be (-1)/((-6)/(-20) - 60/75). Let n(x) = 12*x**2 - 10*x - 36. Let g(c) = -26*c**2 + 19*c + 72. Let b(f) = l*g(f) + 5*n(f). Factor b(q).
4*(q - 3)*(2*q + 3)
Factor 9*h**4 - 5*h**4 - 224*h**2 + 14028*h + 3204*h**2 + 11482 + 196*h**3 + 6158.
4*(h + 2)*(h + 5)*(h + 21)**2
Let f(p) be the third derivative of p**5/30 - 1255*p**4/6 + 1575025*p**3/3 + p**2 - 12*p + 12. Factor f(r).
2*(r - 1255)**2
Let u(j) be the first derivative of j**4/78 - 8*j**3/39 + 16*j**2/13 - 43*j + 17. Let v(x) be the first derivative of u(x). Find b, given that v(b) = 0.
4
Let f be ((-3880)/(-2328))/((-10)/8)*(-10)/12. Find z such that 4/9*z**2 - 2/3*z + f*z**3 + 0 = 0.
-1, 0, 3/5
Solve 0*c - 2/7*c**3 + 0 + 102/7*c**2 = 0.
0, 51
Let d(x) = -2*x**3 + 10*x**2 + 1. Let z be d(5). Let f be (-1 - -39)*z - -3. Find y, given that 5*y**2 + 0*y**2 + 12*y**3 - f*y + 3*y**2 - 7*y - 32 = 0.
-2, -2/3, 2
Let i(x) be the third derivative of x**5/390 - 71*x**4/52 + 422*x**3/39 + x**2 + 1222. Factor i(k).
2*(k - 211)*(k - 2)/13
Let n(j) be the first derivative of j**4/48 + 59*j**3/12 + 3481*j**2/8 - 66*j + 156. Let c(m) be the first derivative of n(m). Factor c(o).
(o + 59)**2/4
Let k(n) be the first derivative of 2*n**5/5 - 7*n**4 + 16*n**3 + 94*n**2 + 110*n - 606. Solve k(q) = 0 for q.
-1, 5, 11
Let j = -3674 + 5636. Let d = -5885/3 + j. Factor 0*r - d*r**4 + 0*r**3 + 0 + 0*r**2.
-r**4/3
Let x = -1479 + 1483. Let b(h) be the second derivative of -1/10*h**5 + 0*h**2 - 13*h + 0 - 1/2*h**x + 0*h**3. Determine q, given that b(q) = 0.
-3, 0
Let z(g) be the first derivative of -g**3/12 + 2*g**2 + 9*g + 922. Factor z(q).
-(q - 18)*(q + 2)/4
Let s(u) be the second derivative of -u**5/50 - u**4/2 + 15*u**3 - 125*u**2 - 1392*u. Factor s(y).
-2*(y - 5)**2*(y + 25)/5
Let g(v) = -5*v**3 + 27*v**2 + 55*v + 10. Let f be g(7). Let q(d) be the first derivative of -15 + 2/9*d**2 + 2/27*d**f - 2/3*d. Factor q(a).
2*(a - 1)*(a + 3)/9
Let t(n) be the third derivative of 15*n**8/224 + 181*n**7/28 - 377*n**6/48 - 667*n**5/24 + 155*n**4/6 + 305*n**3/3 + 671*n**2 + 3*n. Let t(x) = 0. What is x?
-61, -2/3, 1
Factor -94*w**2 - 3563*w + 4353*w - 1266 - 584 + 2*w**3.
2*(w - 37)*(w - 5)**2
Let t(m) be the second derivative of -7*m**4/66 + 387*m**3/11 + 166*m**2/11 - 3201*m. Factor t(c).
-2*(c - 166)*(7*c + 1)/11
Determine d so that -3*d + 12680*d**2 - 11975*d**2 - 5*d**3 - 9 + 8*d - 696 = 0.
-1, 1, 141
Let d(p) = -174*p + 8178. Let v be d(47). Let b(y) be the second derivative of 3/4*y**4 + v + 3*y**3 + 3/40*y**5 - 22*y + 6*y**2. Find w such that b(w) = 0.
-2
Let p be ((-3)/(-4))/(30 + 150*24/(-128)). Factor 0 - 2/5*i**3 + p*i**4 + 2/5*i - 2/5*i**2.
2*i*(i - 1)**2*(i + 1)/5
Let a(p) be the second derivative of -p**5/450 - p**4/180 + 2*p**3/45 - 37*p**2 - 7*p - 6. Let d(v) be the first derivative of a(v). Factor d(x).
-2*(x - 1)*(x + 2)/15
Let y = -547 + 547. Find g, given that 5*g**4 - 4*g**4 + y*g**3 + 0*g**4 + 83*g - 34 + 3*g**3 - 63*g**2 + 10*g**3 = 0.
-17, 1, 2
Let n(h) be the first derivative of h**6/60 - h**5/10 - h**4/3 + 55*h**2/2 - 88. Let c(m) be the second derivative of n(m). Factor c(a).
2*a*(a - 4)*(a + 1)
Let k be (-6 - 0 - (-110)/22) + 300/225. Find a such that 8/3*a + 0 + k*a**2 = 0.
-8, 0
Let o(k) = k**3 + 9*k**2 + 2*k + 20. Let d be o(-9). Factor n - 5*n**3 - 18090 - 5*n**2 + 18084 - 3*n**4 + 18*n**d.
-(n - 1)**2*(n + 3)*(3*n + 2)
Factor -1/7*y**3 + 4/7*y**2 + 12/7*y + 0.
-y*(y - 6)*(y + 2)/7
Let g(n) be the first derivative of -n**6/42 + 2*n**5/5 - 3*n**4/7 - 184*n**3/21 + 256*n**2/7 - 384*n/7 + 13222. Factor g(t).
-(t - 12)*(t - 2)**3*(t + 4)/7
Let g(k) be the third derivative of 2*k**2 - 2/45*k**5 + 0 + 5/18*k**3 - 1/240*k**6 - 1/48*k**4 - k. Factor g(i).
-(i + 1)*(i + 5)*(3*i - 2)/6
Let x(q) be the second derivative of -q**6/270 + 4*q**5/45 + 101*q**4/108 + 14*q**3/9 - 2*q - 3508. Find b such that x(b) = 0.
-4, -1, 0, 21
Suppose 5*p - 3*p = 72. Let h = 41 - p. What is x in -3*x + 2*x**3 - 3 - h*x**2 + x**3 - x**2 + 9*x**2 = 0?
-1, 1
Let m(h) = -h**3 + 61*h**2 - 425*h + 56. Let w be m(53). Factor -9 + 15/2*b + w*b**2 - 3/2*b**3.
-3*(b - 3)*(b - 1)*(b + 2)/2
What is a in -54*a**2 - 12*a**3 + 1/2*a**5 + 0*a + 0 + 17/2*a**4 = 0?
-18, -2, 0, 3
Let t be 15/12*-2*(-2040)/100. Let g be (-16 - -12)*(3 - t/12). Factor 0 - 2/3*d + 0*d**2 + 4/3*d**3 + 0*d**4 - 2/3*d**g.
-2*d*(d - 1)**2*(d + 1)**2/3
Let a(i) be the third derivative of -i**7/945 + 5*i**6/108 - 4*i**5/45 - 8*i**2 + 71. Factor a(l).
-2*l**2*(l - 24)*(l - 1)/9
Suppose -2*u = -5*u - 5*k + 14, -3*k = 2*u - 8. Let x be (-3)/u + 7 + 17/(-2). Find n, given that x*n**2 - 4/3*n**3 + 4*n - 8/3 = 0.
-2, 1
Factor -15 - 2*a**3 + 14*a**3 - 645*a - 3*a**4 + 633*a + 18*a**2.
-3*(a - 5)*(a - 1)*(a + 1)**2
Let s(c) be the second derivative of -3*c**5/20 - 8*c**4 - 104*c**3 - 576*c**2 + 3299*c. Factor s(u).
-3*(u + 4)**2*(u + 24)
Let g(z) = 8*z**4 + 50*z**3 + 171*z**2 + 363*z + 213. Let x(m) = -10*m**4 - 56*m**3 - 170*m**2 - 364*m - 212. Let y(s) = 4*g(s) + 3*x(s). Factor y(u).
2*(u + 1)*(u + 3)*(u + 6)**2
Let d(r) be the first derivative of -17*r**2/2 + 189*r - 68. Let f be d(11). Suppose -f*b + 3/2 + 1/2*b**2 = 0. Calculate b.
1, 3
Let a(u) = 12*u**2 + 22*u + 10. Let m be a(-3). Factor 14*o**4 + m*o**2 + 233*o**2 - 195*o**3 + o**4 + 24 + 21*o**5 - 98*o - 52*o.
3*(o - 1)**3*(o + 4)*(7*o - 2)
Find g, given that -g**2 - 1520 + 0*g + 7*g + 3232 - 1452 = 0.
-13, 20
Factor -337*g**3 + 118*g**3 + 133*g**3 + 113*g**3 - 72*g**2 - 3*g**4 + 60*g.
-3*g*(g - 5)*(g - 2)**2
Suppose -s + 578 - 594 = -2*u, 2*u - 5*s - 56 = 0. Factor 3/8*t**u - 33/4*t - 9/8*t**2 + 9.
3*(t - 6)*(t - 1)*(t + 4)/8
Let k = 98 - 583/6. Let d be (6 - 8)/((-24)/106) - (7 + 1). Suppose -d*h**2 - k*h + 0 = 0. Calculate h.
-1, 0
Let g(d) be the first derivative of 2*d**6/3 - 28*d**5/5 - 30*d**4 - 16*d**3/3 + 80*d**2 - 2106. Solve g(x) = 0 for x.
-2, 0, 1, 10
Let n(t) be the second derivative of -t**5/40 - t**4/3 - 3*t**3/4 + 9*t**2/2 + 8509*t. Factor n(o).
-(o - 1)*(o + 3)*(o + 6)/2
Let r = -250 - -253. Factor -15*z**4 - 5*z**3 - 19*z**2 + 38*z**2 + 32*z**2 - 4*z - 5*z - 22*z**r.
-3*z*(z - 1)*(z + 3)*(5*z - 1)
Let n(t) be the third derivative of -2*t**7/105 + 7*t**6/30 - 14*t**5/15 + 4*t**4/3 - 6*t**2 - 42. Factor n(u).
-4*u*(u - 4)*(u - 2)*(u - 1)
Let x(s) be the first derivative of s**4/20 + 19*s**3/10 + 27*s**2/5 - 202*s + 64. Let h(a) be the first derivative of x(a). Solve h(d) = 0 for d.
-18, -1
Let v(q) = -q**2 + 4*q + 79. Let x be v(-7). Suppose -1 = -2*t + x*f - 5, -4*t = 2*f - 16. Factor 2/5*y**t + 0 - 18/5*y.
2*y*(y - 9)/5
Suppose 82*h = 79*h - 1017. Let l = h - -347. Factor 7/2*w**3 + l*w**2 + 0 + 2*w.
w*(w + 2)*(7*w + 2)/2
Let i be (-3 - 1)/(13340/(-1610) + (-18)/(-14)). Factor 1/7*v**3 - i*v**2 + 18/7 - 3/7*v.
(v - 3)**2*(v + 2)/7
Let k(y) = 3*y**3 - 46*y**2 - 2. Let l = -635 + 626. Let r(v) = -12*v**3 + 186*v**2 + 9. Let n(x) = l*k(x) - 2*r(x). Factor n(o).
-3*o**2*(o - 14)
Let k(q) = -q**3 + 17*q**2 + 40*q + 4. Let t(y) = -261*y + 380*y + 11 + 52*y**2 - y**3 - y**3. Let h(f) = 11*k(f) - 4*t(f). Factor h(d).
-3*d*(d + 3)*(d + 4)
Let g(h) be the third derivative of -1/300*h**5 + 0*h + 1/10*h**3 + 32*h**2 + 1/60*h**4 + 1. Let g(l) = 0. Calculate l.
-1, 3
Factor 31350*z**2 - 698*z - 802*z + 3012 - 31353*z**2.
-3*(z - 2)*(z + 502)
Suppose 4*u - 848 = -h, -4*u + 2*u + 3*h = -438. Factor -31*z**4 + 65*z**2 - 8281*z**5 + 363*z**3 - 134*z**2 + 65*z**2 + u*z**4 - 4*z.
-z*(7*z + 1)**2*(13*z - 2)**2
Let p be (-3)/9*-2 - (-126)/54. Factor 30 - 2*f - 269*f**p + 23*f - 12*f**2 + 137*f**3 + 129*f**3.
-3*(f - 2)*(f + 1)*(f + 5)
Let a(y) be the third derivative of -2*y**7/105 + 29*y**6/20 - 189*y**5/10 + 491*y**4/6 - 120*y**3 - 9662*y**2. Determine x so that a(x) = 0.
1/2, 2, 5, 36
Let y(i) be the first derivative of i**6/24 - i**5/6 - 9*i**2/2 + 5*i + 291. Let g(o) be the second derivative of y(o). Factor g(d).
5*d**2*(d - 2)
Let r(a) = 5*a + 17. Let f be r(2). Factor 87*u**4 + 15*u**3 + 82*u**4 - 166*u**4 - f*u + 9*u**2.
3*u*(u - 1)*(u + 3)**2
Supp