/10)/(2/4). Factor m*c**2 - 2*c - 3*c**4 + 15 + 2*c**q - 15.
-c*(c - 1)**2*(c + 2)
Let d = 378 - 375. Factor 2*o**3 - o**3 - 9*o**3 + d*o**3.
-5*o**3
Let d(m) be the second derivative of -m**4/15 + 112*m**3/15 - 416*m**2/5 - 2*m - 44. Factor d(n).
-4*(n - 52)*(n - 4)/5
Let c(f) = 10*f - 19. Let b be c(4). Let m be b/5 - (9 + (-36)/6). Solve 6/5*n**3 + 3/5 + 3/5*n**5 - 9/5*n**4 + m*n**2 - 9/5*n = 0.
-1, 1
Let i(a) be the second derivative of a**4/48 + 116*a**3/3 + 26912*a**2 + 2005*a. Factor i(s).
(s + 464)**2/4
Factor -195 + 243/2*r - 3/2*r**3 - 9*r**2.
-3*(r - 5)*(r - 2)*(r + 13)/2
Factor 4/7*g**3 - 104/7 + 104/7*g**2 - 4/7*g.
4*(g - 1)*(g + 1)*(g + 26)/7
Let z(y) be the first derivative of -y**3/33 + 529*y**2/11 + 1059*y/11 + 7582. Factor z(j).
-(j - 1059)*(j + 1)/11
Let y be 1956/180 - (326/(-4401) - (1 - 74/270)). Factor -55*l - y*l**2 + 50/3.
-5*(l + 5)*(7*l - 2)/3
Let d(o) = -730*o - 2916. Let v be d(-4). Let t(j) be the second derivative of 2/35*j**5 - 1/7*j**v + 0 + 2/7*j**2 - 5*j + 0*j**3. Factor t(i).
4*(i - 1)**2*(2*i + 1)/7
Let a(c) be the second derivative of c**5/5 - 11*c**4 + 232*c**3/3 - 69*c. Factor a(m).
4*m*(m - 29)*(m - 4)
Let s(x) be the second derivative of -1/80*x**5 - 5/4*x**4 + 10 - 75/2*x**3 + 0*x**2 - 6*x. Find q, given that s(q) = 0.
-30, 0
Solve 81*r**2 - 150*r + 109464*r**3 + 72 - 3*r**4 - 109464*r**3 = 0 for r.
-6, 1, 4
Let r(b) = -b**2 + 6*b + 56. Let x be r(9). Factor -71*a - 59*a + x*a + 25 - 1093*a**4 + 1122*a**4 - a**5 + 154*a**2 - 106*a**3.
-(a - 25)*(a - 1)**4
Factor 9/4*u**2 + 0 + 1/4*u**5 + 0*u + 7/4*u**4 + 15/4*u**3.
u**2*(u + 1)*(u + 3)**2/4
Suppose 3*b - 31 = -5*x, 0*x - 41 = -3*b + 5*x. Determine j, given that -3*j**3 - b*j**5 - 2*j + 17*j**5 - 7*j**4 - 69*j**2 + 76*j**2 = 0.
-1, 0, 2/5, 1
Let k(f) = f**2 - 17*f - 15. Let j be k(18). What is a in 3*a**3 + 30*a - j*a**2 - 3*a**5 - 62*a + 3*a**4 + 32*a = 0?
-1, 0, 1
Determine q so that -28/19*q + 2/19*q**2 + 98/19 = 0.
7
Let 20*a**2 - 164*a**3 - 748*a**2 + 3033*a**5 + 882*a + 8*a**4 - 3031*a**5 = 0. What is a?
-7, 0, 1, 9
Let b(p) be the second derivative of -p**4/72 - 18*p**3 - 8748*p**2 - 25*p - 17. Factor b(u).
-(u + 324)**2/6
Let k(m) be the second derivative of -3/5*m**5 + m - 2/15*m**6 - 1/3*m**4 + 12 + 2*m**3 + 4*m**2. Factor k(x).
-4*(x - 1)*(x + 1)**2*(x + 2)
Suppose 5*t = 5*u + 20, 5*t + u = -0*u + 8. What is z in 28*z**3 + 32*z**3 - 57*z**3 + 18*z + 21*z**t = 0?
-6, -1, 0
Suppose -349 = 15*u - 514. Let z(v) be the second derivative of 7/18*v**4 + 0*v**2 + 1/6*v**5 - u*v + 0 + 2/9*v**3. Suppose z(l) = 0. Calculate l.
-1, -2/5, 0
Let b = 451 - 664. Let d = -211 - b. Solve -2/7*u**3 + 0*u**d + 0*u + 0 = 0.
0
Let p(j) = 108*j - 14. Suppose -r + 3*o - 5 = 0, 0 = 2*r - 3*r - 2*o + 10. Let k be p(r). Factor -h**2 - 418 - h**2 - h**3 + k.
-h**2*(h + 2)
Let n(m) = 5*m**2 + 5*m + 6. Let h(g) = 14*g**2 + 11*g + 12. Let o = -124 + 122. Let k(r) = o*h(r) + 5*n(r). Factor k(s).
-3*(s - 2)*(s + 1)
Let o(d) be the third derivative of 24*d**2 - 1/2*d**4 + 0*d + 0*d**5 + 0*d**3 + 0 + 1/40*d**6. Let o(a) = 0. Calculate a.
-2, 0, 2
Let q(h) be the first derivative of -5/2*h**3 + 1/4*h**5 + 1/24*h**6 - 25 + 5/2*h**2 - 5/24*h**4 + 0*h. Let f(k) be the second derivative of q(k). Factor f(n).
5*(n - 1)*(n + 1)*(n + 3)
Let a(m) = 324*m**2 + 19*m - 71. Let y(b) = -19*b**2 + b + 2. Let u(j) = 2*a(j) + 34*y(j). Factor u(r).
2*(r - 1)*(r + 37)
Let y(s) be the first derivative of -4*s**4 + 12*s + 8*s**2 - 33 - 4/5*s**5 - 8/3*s**3. Factor y(v).
-4*(v - 1)*(v + 1)**2*(v + 3)
Let l(t) = -15*t + 55. Let o be l(-4). Factor 4*u**3 + 0*u**3 + 50 - 8*u**3 + 50*u**2 - 11*u**3 + o*u.
-5*(u - 5)*(u + 1)*(3*u + 2)
Let j be 39*(4/7)/(313 + -312). Find q such that j*q**2 + 34/7*q**3 + 2/7*q**4 + 64/7*q - 256/7 = 0.
-8, -2, 1
Let k(g) be the first derivative of -g**8/4200 - g**7/525 - g**6/225 + 79*g**3/3 + 159. Let a(o) be the third derivative of k(o). Factor a(i).
-2*i**2*(i + 2)**2/5
Suppose 12*r + 10*r = -132. Let f(d) = -9*d**2 - 90*d + 582. Let s(v) = 7*v**2 + 89*v - 583. Let t(b) = r*s(b) - 5*f(b). Find j, given that t(j) = 0.
14
Let h(t) be the second derivative of -1/10*t**6 - 3/2*t**2 + 1/2*t**4 + 7*t + 0*t**5 + 0*t**3 - 1. Let h(u) = 0. Calculate u.
-1, 1
Let k(l) be the second derivative of 21*l**5/80 + 23*l**4/24 + l**3/3 - 719*l. Factor k(i).
i*(i + 2)*(21*i + 4)/4
Factor -179*f**4 + 201601/5 - 120781*f + 120422*f**2 - 39782*f**3 - 1/5*f**5.
-(f - 1)**3*(f + 449)**2/5
Let r(q) be the first derivative of 3*q**4/2 - 3440*q**3/3 - 1149*q**2 + 1148*q - 642. Suppose r(d) = 0. Calculate d.
-1, 1/3, 574
Let f(z) be the first derivative of z**6/7 + 3*z**5/7 - 10*z**3/7 - 15*z**2/7 - 9*z/7 + 726. Factor f(j).
3*(j + 1)**4*(2*j - 3)/7
Suppose 2*u - 114 = 2*k - 80, 0 = -2*u + 5*k + 79. Find n, given that 1/2*n**3 - 21/2*n**u + 0*n + 0 = 0.
0, 21
Let z = 21 - -93. Suppose -4*p + 5*o + 64 + z = 0, -2*o = -4. Factor -p*m**3 - 14*m**2 - 56*m**2 - 8 + 52*m - 2*m**3.
-(m + 2)*(7*m - 2)**2
Let w(p) be the first derivative of -p**6/480 - 3*p**5/20 - 9*p**4/2 + 26*p**3/3 - 97. Let b(i) be the third derivative of w(i). Solve b(f) = 0.
-12
Let t(a) = a**2 + 14*a + 3. Let q be t(-14). Let f(s) = -s**2 - 17*s + 62. Let r be f(-20). Solve 7*n - 2*n**q + 5*n**3 - 2 + r*n - 12*n**2 + 2*n**3 = 0.
2/5, 1
Let v(o) be the first derivative of -2*o**3/21 - 482*o**2 - 813134*o + 3415. Factor v(z).
-2*(z + 1687)**2/7
Let a(o) be the second derivative of 0 + 29*o + 5832/7*o**2 + 1/21*o**4 - 72/7*o**3. Factor a(g).
4*(g - 54)**2/7
Factor -213*v + 20*v**2 - 10*v**2 + 39*v - 2*v**2 - 9*v**2 + 712.
-(v - 4)*(v + 178)
Let b be 240/(-3080)*22/(-4). Let z(t) be the first derivative of b*t**2 - 4/21*t**3 - 1/21*t**6 - 2/7*t + 6/35*t**5 - 1/7*t**4 + 13. Factor z(v).
-2*(v - 1)**4*(v + 1)/7
Let l = -68 + 70. Factor l*k**4 - 413*k + k**5 + 205*k - 2*k**2 + 207*k.
k*(k - 1)*(k + 1)**3
Factor -129*o + 132 - 7*o**2 + 10*o**2 + 43*o - 124*o + 75.
3*(o - 69)*(o - 1)
Let f(j) = 41*j**2 + 247*j - 30. Let x(o) = -41*o**2 - 227*o + 32. Let u(g) = -7*f(g) - 6*x(g). Factor u(c).
-(c + 9)*(41*c - 2)
Let u(g) be the first derivative of -308 - 145*g + 5/3*g**3 + 70*g**2. What is r in u(r) = 0?
-29, 1
Let b(o) = 2*o**2 + 1. Let d(h) = 4*h**2 - 9*h**2 + 36*h**3 - 8*h**2 + 124*h + 16 + 85*h**2. Let u(c) = -24*b(c) - d(c). Factor u(a).
-4*(a + 1)*(3*a + 2)*(3*a + 5)
Factor 6/11*n**3 - 78/11*n**2 + 30*n - 450/11.
6*(n - 5)**2*(n - 3)/11
Let w be 325/105 - 20/315*(-87)/(-58). Factor -h**2 + 0 - 1/2*h**w + 3/2*h.
-h*(h - 1)*(h + 3)/2
Factor 38/3*i**3 + 0*i + 1/6*i**2 + 722/3*i**4 + 0.
i**2*(38*i + 1)**2/6
Let z be (2 - 10/12)*((-7711)/(-77) - 99). Find w, given that -40/3*w + z*w**2 - 44/3 = 0.
-1, 11
Solve -233/3*f**2 + 1/3*f**3 + 12971/3*f + 70805/3 = 0.
-5, 119
Let m = -106 + 110. Let l(r) be the third derivative of -1/48*r**5 + 0*r + 35/96*r**m + 0 - 5/4*r**3 - 19*r**2. Factor l(h).
-5*(h - 6)*(h - 1)/4
Let b = -150 + 152. Determine o so that -4 + 70*o**4 + 4 - 10*o**b + 4*o**3 + 11*o**3 = 0.
-1/2, 0, 2/7
Determine y, given that -52/5*y**4 + 48/5 - 2/5*y**5 - 96/5*y**3 + 4/5*y**2 + 98/5*y = 0.
-24, -1, 1
Let g(n) be the third derivative of -n**7/840 + 199*n**6/480 - 2211*n**5/40 + 25047*n**4/8 - 11979*n**3 - 3*n**2 + 247*n. Factor g(p).
-(p - 66)**3*(p - 1)/4
Factor 1112*r**2 + 71 - 220*r - 1116*r**2 - 495.
-4*(r + 2)*(r + 53)
Let d(p) = p**3 - 46*p**2 + 2. Let g be d(46). Solve -4846*h + 20*h**2 + g*h**3 + 4862*h - 2*h**4 + 0*h**3 = 0.
-2, -1, 0, 4
Let i be (-91)/(-455) + (-11)/5 + 45/(0 + 9). Solve -5/4*l**i + 125/4*l - 30*l**2 + 0 = 0 for l.
-25, 0, 1
Let x(p) be the first derivative of 109/10*p**2 - 18/5*p - 11 - 56/5*p**3 + 9/20*p**4. Determine j, given that x(j) = 0.
1/3, 18
Factor -17539*i + 18997*i - 86 + 43 + 335 - 10*i**2.
-2*(i - 146)*(5*i + 1)
Factor -1364*n - 595 + 95 + 18*n**2 + 196.
2*(n - 76)*(9*n + 2)
Suppose -2*a = -4*o - 10, -4*o + 4*a - 25 = -a. Suppose -17*h - 5 + 56 = o. Let -y + 1/3 + y**2 - 1/3*y**h = 0. Calculate y.
1
Let m(o) = -19*o**4 + 2*o**3 - 21*o**2 - 45. Let x(q) = -2*q**4 - q**3 + q**2 - 5. Let b(y) = -2*m(y) + 18*x(y). Factor b(t).
2*t**2*(t - 6)*(t - 5)
Let n(g) be the first derivative of -2 - 32/15*g**3 - 1/5*g**4 + 18/5*g**2 + 0*g. What is p in n(p) = 0?
-9, 0, 1
Let q(s) be the second deriva