5 + 24*p**2. Let a(b) be the third derivative of o(b). Let a(d) = 0. Calculate d.
0, 4
Let 256*a**5 - 367*a**5 + 28737*a**3 + 129735*a**2 + 573*a**4 + 114*a**5 = 0. Calculate a.
-93, -5, 0
Let k(d) = 17*d**2 + 358*d - 144. Let n(h) be the third derivative of 7*h**5/12 + 359*h**4/12 - 48*h**3 + 145*h**2. Let a(w) = 5*k(w) - 2*n(w). Factor a(l).
3*(l + 24)*(5*l - 2)
Let h = 13/11723 - -161519455/35169. Let l = h - 4536. Factor -17*b**2 + 25/3*b**4 + l*b**3 - 28/3 - 116/3*b.
(b - 1)*(b + 7)*(5*b + 2)**2/3
Let b(j) = 7*j**2 - 754*j - 3527. Let u(m) = 3*m**2 - 251*m - 1178. Let a(s) = 4*b(s) - 11*u(s). Solve a(d) = 0 for d.
-46, -5
Let v(t) = 2*t**2 - 7*t. Let p(s) = -18*s**2 - 206*s + 64. Let u(r) = 3*p(r) + 21*v(r). What is m in u(m) = 0?
-64, 1/4
Let x(z) = 2*z**2 - 447*z + 838. Let i(w) = -3*w**2 + 448*w - 852. Let f(j) = -3*i(j) - 2*x(j). Determine v, given that f(v) = 0.
2, 88
Let r(w) be the second derivative of -w**5/100 + 11*w**4/12 + 5*w - 296. Factor r(v).
-v**2*(v - 55)/5
Let g(c) = -c**2 - 13*c - 40. Let y be g(-7). Suppose -5*h - 3 = 5*d + 12, -5*h = -y*d + 29. Let -x**d + x**2 + x**2 + 2*x**2 - 18 - 3*x = 0. What is x?
-2, 3
Let h(v) be the first derivative of 32/7*v**3 + 5/21*v**6 + 16/21*v**2 + 158 + 184/105*v**5 + 0*v + 32/7*v**4. Factor h(r).
2*r*(r + 2)**3*(15*r + 2)/21
Suppose 155 = -5*g - 75. Let t = g + 50. Factor -4*v**2 - v**4 - t*v**3 + 17*v**5 + 6*v**4 - 13*v**5 - v**4.
4*v**2*(v - 1)*(v + 1)**2
Let m(y) be the first derivative of y**6/6 + 32*y**5/5 + 373*y**4/4 + 654*y**3 + 2214*y**2 + 2808*y - 2839. Let m(u) = 0. What is u?
-13, -6, -1
Factor 0 - 23/7*v + 6/7*v**2.
v*(6*v - 23)/7
Let p(c) be the first derivative of 20*c - 116 + 95/3*c**3 - 100*c**2. Factor p(g).
5*(g - 2)*(19*g - 2)
Let u(g) be the third derivative of 1/10*g**6 + 0 + g + 3/10*g**5 + 27/2*g**3 - 1/70*g**7 + 61*g**2 - 9/2*g**4. What is q in u(q) = 0?
-3, 1, 3
Let z(c) be the second derivative of c**8/2184 - c**6/780 + 5*c**2 + 2*c + 9. Let j(r) be the first derivative of z(r). Let j(k) = 0. What is k?
-1, 0, 1
Let h(u) = 2*u**3 + 24*u**2 + 12. Let g be h(-12). Let c be g/5*(1 + 18/12). Factor c*b + 9*b**3 - 6 - 19*b**4 + 3*b**2 - 15*b + 22*b**4.
3*(b - 1)*(b + 1)**2*(b + 2)
Let w = 6184 + -352484/57. Let r(o) be the third derivative of -1/57*o**4 + 0 + w*o**3 + 0*o + 5*o**2 + 1/570*o**5. Factor r(c).
2*(c - 2)**2/19
Let j(w) = -w**3 + 11*w**2 - 26*w + 19. Let x be j(8). Let y(v) be the first derivative of -1/2*v**x - 9/4*v**2 + 0*v + 12. Suppose y(l) = 0. What is l?
-3, 0
Let y(i) = -904*i + 28027. Let q be y(31). Solve -7/4*m**4 + 0 + 5/2*m**2 + 33/4*m**q + 0*m = 0 for m.
-2/7, 0, 5
Solve -46/13*r**2 - 6*r + 126/13 - 2/13*r**3 = 0.
-21, -3, 1
Suppose -131 = -11*a + 463. Suppose 18*m = a*m - 72. Determine s, given that -11/2*s - 3/4*s**3 + m + 17/4*s**2 = 0.
2/3, 1, 4
Suppose 2*h = 61 - 51. Suppose 0 = 3*y + h*m - 29, 4*y = -m + 3 + 30. Factor 2*u - 21*u**2 - 27*u**3 - u**5 - y*u - 2*u**5 + 0*u**5 - 15*u**4.
-3*u*(u + 1)**3*(u + 2)
Let v = -1160 + 608. Let c = 3866/7 + v. Factor 0*w + c*w**2 - 2/7.
2*(w - 1)*(w + 1)/7
Let q = 2/2739 - -156115/10956. Let c(f) = 108*f + 5620. Let a be c(-52). Let 6 - 6*g**a + 21*g + 21/2*g**2 + 15/4*g**5 - q*g**3 = 0. What is g?
-1, -2/5, 2
Let g be 80/36 - ((-123)/54 - 20/(-8)). Let k(o) be the third derivative of 0*o - 2/15*o**3 - 7/150*o**5 + 0 - 3/20*o**4 + 29*o**g. Suppose k(y) = 0. What is y?
-1, -2/7
Suppose 152 = 4*i - 4*l, -4*l - 100 = -5*i + 88. Find n, given that -2*n**3 + 18*n + i - 30 + 12 - 2*n**2 = 0.
-3, -1, 3
Let s(r) be the first derivative of -r**4/14 + 34*r**3/7 - 48*r**2/7 - 200*r/7 - 67. Determine d, given that s(d) = 0.
-1, 2, 50
Let d be ((-798)/16)/7 - -8 - (6 - 3)*-1. Factor 0 - 1/8*t**2 + d*t.
-t*(t - 31)/8
Let d = 4568 - 4565. Let m(l) be the first derivative of -5 - 2/9*l**2 + 0*l - 20/27*l**d - 25/36*l**4. Solve m(a) = 0 for a.
-2/5, 0
Let r(h) be the first derivative of -h**5/30 - 17*h**4/12 + 6*h**2 - 4*h - 58. Let n(a) be the second derivative of r(a). Find v, given that n(v) = 0.
-17, 0
Let w = 64429/6 + -10738. Let x(i) be the first derivative of 0*i**2 - w*i**4 - 14/9*i**3 + 2/5*i**5 + 25 + 8/3*i + 1/9*i**6. Find n such that x(n) = 0.
-2, -1, 1
Let i = 23/28 + -745/924. Let r(v) be the third derivative of 0*v - 22*v**2 + 0 - i*v**4 + 8/33*v**3 - 1/330*v**5. Factor r(g).
-2*(g - 2)*(g + 4)/11
Let j be 4/(-14) + (-90)/(-21). Suppose -10*i + 114 = -j*i. Determine f so that 27*f**2 + f - 12 + i*f + 0 - 34*f**2 + f**4 - 2*f**3 = 0.
-3, 1, 2
Let j = 6/260641 + 66724006/3909615. Determine c so that 4/3*c + 134/15*c**2 + j*c**3 + 166/15*c**4 + 8/5*c**5 + 0 = 0.
-5, -1, -2/3, -1/4, 0
Let f = -1789/254 + 958/127. Factor 0 + 0*s - s**3 + 0*s**2 + f*s**4.
s**3*(s - 2)/2
Let s(f) be the first derivative of -1/4*f**4 + 0*f + 0*f**2 - 177 - 13/3*f**3. Factor s(d).
-d**2*(d + 13)
Factor 16*c**3 - 6*c**4 - 615*c**5 + 611*c**5 + 9*c**4 + 2*c**4 - 32*c**2 + 3*c**4.
-4*c**2*(c - 2)**2*(c + 2)
Let 1/2*o**2 + 16129/2 - 127*o = 0. What is o?
127
Let a(f) = 12*f**3 - 87*f**2 + 138*f + 504. Let y(q) = q**3 + 8*q. Let c(r) = a(r) - 9*y(r). Factor c(z).
3*(z - 28)*(z - 3)*(z + 2)
Let n(k) be the first derivative of 0*k - 2*k**2 + 79 + 1/4*k**4 + 0*k**3. Determine l so that n(l) = 0.
-2, 0, 2
Let x(q) = -5*q**3 + 2*q**2 - 2*q + 1. Let y be x(2). Let c be 3/2 - 23/((-644)/y). Solve 0*f - 9/4*f**2 - c*f**4 - 3/2*f**3 + 0 = 0 for f.
-3, 0
Suppose 158*d**2 + 558 + 1168*d + 1433*d**3 + 1714 - 714*d**3 - 717*d**3 = 0. What is d?
-71, -4
Let l(s) be the second derivative of 15 - 1/72*s**4 - 5/3*s**3 - 4*s - 75*s**2. Determine w so that l(w) = 0.
-30
Let a(h) be the third derivative of 0*h + 7/40*h**6 + 0*h**3 - 144*h**2 + 0 - 1/70*h**7 - 2/5*h**5 - 2*h**4. Factor a(d).
-3*d*(d - 4)**2*(d + 1)
Let j(m) be the first derivative of 9/2*m - 1/12*m**3 + 17/8*m**2 - 99. Factor j(c).
-(c - 18)*(c + 1)/4
Let m(x) be the first derivative of -x**4/3 - 148*x**3/9 - 196*x**2/3 + 544*x/3 - 294. Factor m(r).
-4*(r - 1)*(r + 4)*(r + 34)/3
Let f(t) be the first derivative of -t**3/9 - 36*t**2 - 428*t/3 - 1766. Factor f(j).
-(j + 2)*(j + 214)/3
Let m(p) be the third derivative of -p**6/360 + 26*p**5/45 + 107*p**4/18 + 24*p**3 + 2500*p**2. Let m(g) = 0. Calculate g.
-2, 108
Let u(f) be the second derivative of -f**5/45 + 2*f**4/3 + 26*f**3/9 - 2704*f**2/9 - 14*f - 24. Factor u(t).
-4*(t - 13)**2*(t + 8)/9
Let i be (-1875)/(-72)*18*2/45. Factor 175/6*s + 55/6*s**2 + i + 5/6*s**3.
5*(s + 1)*(s + 5)**2/6
Let v(n) = 6*n**3 + 104*n**2 - 724*n - 27068. Let h(a) = -5*a**3 - 94*a**2 + 725*a + 27061. Let x(w) = -4*h(w) - 3*v(w). Factor x(g).
2*(g - 20)*(g + 26)**2
Let f(b) = 35*b**3 - 90*b**2 - 65*b + 56. Let p(j) = -770*j**3 + 1980*j**2 + 1430*j - 1230. Let n(g) = -45*f(g) - 2*p(g). Factor n(q).
-5*(q - 3)*(q + 1)*(7*q - 4)
Suppose -195 + 518 = 19*q. Let 8 - 4*g**3 + 12*g + g**3 + 6*g**2 - q - 15 = 0. Calculate g.
-2, 2
Let j(f) be the first derivative of 0*f - 8/45*f**3 - 1/15*f**2 + 8/75*f**5 - 53 + 1/30*f**4. Solve j(i) = 0.
-1, -1/4, 0, 1
Let q(i) = i**3 - 5*i**2 + 4. Let k be q(5). Let w be (2/6*(-6)/4)/(14/(-112)). Factor 3*j**3 - 248*j**4 - 4*j + 124*j**k + 123*j**w.
-j*(j - 2)**2*(j + 1)
Let o(z) be the third derivative of -4*z**2 - 15 + 0*z - 1/270*z**5 - 676/27*z**3 + 13/27*z**4. Factor o(a).
-2*(a - 26)**2/9
Let v(j) be the second derivative of -j**7/42 - 7*j**6/72 + j**5/12 + 323*j**3/6 - 2*j + 42. Let h(x) be the second derivative of v(x). Factor h(g).
-5*g*(g + 2)*(4*g - 1)
Let -26 + 215*p**2 + 2*p - 20*p**3 - 13 - 14*p**4 + 3 - 65*p - 85*p**2 + 3*p**5 = 0. Calculate p.
-3, -1/3, 1, 3, 4
Suppose 150 - 305 = -117*k + 196. Let a(w) be the first derivative of -2/65*w**5 + 0*w + 0*w**2 - 10 + 0*w**4 + 0*w**k. Factor a(o).
-2*o**4/13
Suppose -16 = 4*f, -5*s + 17*f + 316 = 4*f + 14*f. Solve 1024/3 + 3*t**2 - s*t = 0.
32/3
Let a(x) = 6*x. Let i be a(13). Factor -5*t + 4*t**2 + i*t + 15*t - 20*t.
4*t*(t + 17)
Let b = -25257 - -25260. Let x(s) be the third derivative of -5*s**b - 4*s**2 + 5/24*s**4 + 0 + 1/12*s**5 + 0*s. Factor x(q).
5*(q - 2)*(q + 3)
Let a be (-4410)/(-1701)*(-27)/(-12). Let b(w) be the second derivative of -5*w**2 + 0 + a*w**3 + 3/4*w**5 + 10*w - 10/3*w**4. What is z in b(z) = 0?
2/3, 1
Let h(s) = -s**5 - s**4 - 4*s**2 -