 that -19*z - 20*z**2 - 21*z**2 - 22*z**2 + z**3 + 86*z**2 - 21*z**2 - 20 = 0.
-5, -1, 4
Let r(x) be the first derivative of -x**3/21 + 111*x**2/7 - 661. Factor r(q).
-q*(q - 222)/7
Let l(r) be the third derivative of r**6/1200 + 11*r**5/300 - r**4/5 + 171*r**2 + 5*r. Find o, given that l(o) = 0.
-24, 0, 2
Let y(r) be the second derivative of -1/7*r**2 + 1/21*r**4 - 2 + 64*r + 1/21*r**3 - 1/35*r**5 + 1/147*r**7 - 1/105*r**6. Factor y(z).
2*(z - 1)**3*(z + 1)**2/7
Let z be (-6)/(-3)*(2 - 1). Solve -30 - 2*f**3 + 12*f - z*f**3 + 38 = 0.
-1, 2
Let d(m) be the first derivative of 3*m**4/28 - 5*m**3/7 + 6*m**2/7 - 1116. Factor d(p).
3*p*(p - 4)*(p - 1)/7
Suppose 0 = 8*m - 11*m + 132. Let h = -40 + m. Solve -8*p**h - 8 - 4*p**5 + 0*p**4 + 0*p**3 - 18*p**2 + 8*p**3 + 34*p**2 - 4*p = 0.
-2, -1, 1
Let a(n) be the first derivative of -2/21*n**3 - 6728/7*n + 116/7*n**2 + 85. Factor a(t).
-2*(t - 58)**2/7
Suppose 0*l - 4*l - 4*s - 56 = 0, l - 3*s = 2. Let a be (-90)/(-144)*(-4)/l. Factor 3/4 + 1/4*y**2 + 5/4*y - a*y**3.
-(y - 3)*(y + 1)**2/4
Let b(m) be the second derivative of 21 + 2/5*m**3 - 4/5*m**2 + m + 1/100*m**5 - 1/10*m**4. Factor b(l).
(l - 2)**3/5
Let g be (-140)/(-75) + (-4)/(-30). Factor -31*v**2 + 27*v**g - 65*v**2 + 46*v + 3*v**3 - 63 + 83*v.
3*(v - 21)*(v - 1)**2
Let g(p) be the first derivative of -p**3/15 - 323*p**2/5 + 647*p/5 - 4922. Solve g(n) = 0 for n.
-647, 1
Let f = -939907/24 - -39163. Let m(d) be the third derivative of 1/15*d**5 - 11 - f*d**4 + 1/6*d**3 - d**2 + 0*d. Factor m(g).
(g - 1)*(4*g - 1)
Let g = -170015 + 1190191/7. Factor g*i**2 + 12/7*i**3 + 12/7 + 86/7*i.
2*(i + 1)*(i + 6)*(6*i + 1)/7
Let m(u) = -u**2 + 6*u. Let w be m(5). Let x = -73 + 87. Suppose 12*f**w + 6*f**3 - x*f**5 - 2*f - 2*f**3 = 0. Calculate f.
-1, 0, 1
Suppose 2*s - 4*q - 4 = 0, -5*s + 15 = -3*q - 2*q. Factor 5*y**3 - 4*y + 90*y**2 - 46*y**2 - 47*y**2 + 3*y**s - y**5.
-y*(y - 4)*(y - 1)*(y + 1)**2
Factor 9*k**2 + 119*k + 85*k + 5*k**2 - 13*k**2 - 2376 - 5*k**2.
-4*(k - 33)*(k - 18)
Factor 20*v**2 + 22358*v**3 + 1001 + 302*v - 241 - 22360*v**3.
-2*(v - 19)*(v + 4)*(v + 5)
Determine r, given that -4*r + 6/5*r**5 - 66/5*r**2 - 14/5*r**4 - 66/5*r**3 + 0 = 0.
-1, -2/3, 0, 5
Let m(l) = -2*l**3 - 50*l**2 - 94*l + 6. Let k be m(-23). Determine q, given that -24*q**3 - 10*q - k*q**2 - 38*q - 11*q - 4*q**4 - 16 + 11*q = 0.
-2, -1
Let b(j) be the second derivative of 1/126*j**7 + 7/30*j**5 + 5*j + 1/2*j**3 + 1/15*j**6 + 4/9*j**4 + 1/3*j**2 - 5. Suppose b(r) = 0. What is r?
-2, -1
Let t(m) = -6*m**3 - 59*m**2 - 126*m - 97. Let w(h) = 30 + 3*h**3 - 2*h + 18 + 65*h + 30*h**2. Let a(b) = -6*t(b) - 11*w(b). Find r such that a(r) = 0.
-3, -2
Let b(p) be the second derivative of 9*p**5/5 - 65*p**4/3 - 116*p**3/3 + 32*p**2 + 5847*p. Factor b(k).
4*(k - 8)*(k + 1)*(9*k - 2)
Suppose 2 - 2 = 10*s. Let b = -397 + 399. Determine x so that -4/7*x + 2/7*x**b + s = 0.
0, 2
Let d(r) = -2*r**2 - 46*r - 4. Let g(z) = -2*z**2 - 45*z - 5. Let u(h) = -6*h**2 - 7*h - 6. Let j be u(-1). Let i(p) = j*d(p) + 4*g(p). Solve i(c) = 0.
-25, 0
Let m be (8*5/(-380)*1)/(58/(-19) + 3). Let -4/3*h**m - 10/3*h + 2 = 0. Calculate h.
-3, 1/2
Suppose 2*j - 18*f + 14*f = 4, 4*f = -3*j + 16. Suppose 1/9*k**j - 7/9*k**2 - 3*k + 1/3*k**3 - 2 = 0. Calculate k.
-3, -2, -1, 3
Let f be 429/88 + (-22)/(484/(-66)). Factor f + 3/8*r**2 + 15/4*r.
3*(r + 3)*(r + 7)/8
Factor 119895*a**2 + 640*a - 239786*a**2 + 119896*a**2.
5*a*(a + 128)
Suppose 11*a - 3*a = -4*a + 24. Let n(b) be the third derivative of 0*b + 1/9*b**3 + 1/72*b**5 + 1/18*b**4 + 1/720*b**6 + b**a + 0. Let n(i) = 0. Calculate i.
-2, -1
Let b(n) = -67*n - 731. Let r be b(-12). Let x be r/255 - (212/(-30) + 7). Factor -10/17 - 18/17*q - x*q**2 + 2/17*q**3.
2*(q - 5)*(q + 1)**2/17
Let j be 12/(-27) + 348/54. Let h(b) be the first derivative of -j - 1/2*b**4 + 0*b - 2*b**2 + 2*b**3. Let h(y) = 0. Calculate y.
0, 1, 2
Let s(f) = -f**2 + 134*f + 968. Suppose 0 = 2*j + i - 2, 2*j - 4*i - 7 + 5 = 0. Let x(d) = -d**2 - d - 2. Let o(r) = j*s(r) - 6*x(r). Factor o(m).
5*(m + 14)**2
Let c be 66907/88 + 1/((-55)/10). Let v = -760 + c. What is b in v*b**2 + 1/8 + 1/4*b = 0?
-1
Let j(v) be the second derivative of -v**5/70 + 313*v**4/14 - 97969*v**3/7 + 30664297*v**2/7 - 1818*v. Factor j(a).
-2*(a - 313)**3/7
Let n(d) = -55*d**2 - 327*d - 332. Let a(p) = 256*p**2 + 1636*p + 1660. Let f(k) = -3*a(k) - 14*n(k). Factor f(y).
2*(y - 166)*(y + 1)
Solve -8*k**5 - 7/9*k**4 + 155/9*k**3 - 2 + 25/9*k**2 - 83/9*k = 0.
-1, -2/9, 1, 9/8
Let h(d) be the second derivative of -d**5/140 + 17*d**4/84 + 52*d**3/7 + 522*d**2/7 + 51*d + 3. Solve h(i) = 0 for i.
-6, 29
Let b = -25 - -48. Let q = b - 21. Factor 314*w + w**q - 622*w + 304*w + 3.
(w - 3)*(w - 1)
Let b(u) = -19*u**3 - 8925*u**2 - 13*u + 13. Let d(h) = 9*h**3 + 4446*h**2 + 6*h - 6. Let m(l) = 6*b(l) + 13*d(l). Solve m(g) = 0.
-1416, 0
Let o be (-24)/10*(-120)/36. Suppose -1 - o = -3*l. Let -v**2 - 4*v - v**2 + l*v**2 + 0*v**2 = 0. Calculate v.
0, 4
Suppose -10 = -2*a + 2*y - 2, 5*y = 3*a - 22. Let v be (a + (-5)/(-2))/(27/36). Factor -3/2*p + 3/2*p**v - 3.
3*(p - 2)*(p + 1)/2
What is a in 1010*a**2 - 508*a**2 + 6*a**3 - 499*a**2 + 3*a**4 = 0?
-1, 0
Let c be ((-4)/6)/((-290)/(-30) + -10). Let 2/9*n**c + 0 + 0*n = 0. What is n?
0
Let m(j) be the third derivative of 0 - 79*j**2 + 1/420*j**6 - 1/28*j**4 + 0*j**5 - 2/21*j**3 + 0*j. Factor m(z).
2*(z - 2)*(z + 1)**2/7
Let f be (-690 + 712 - 146/8)/((-1)/(-33)). Determine a so that -339/4*a - 57/4 - f*a**2 + 27/4*a**3 = 0.
-1/3, 19
Suppose -4*s = -2*s - 8. Let k be (8/6)/(4 + 70/(-21)). Factor 7*a + 3*a - 4*a**3 + k*a**s - 2 - a - 5*a.
2*(a - 1)**3*(a + 1)
Let d be ((-7)/((-35)/(-54)))/(298/745). Let a(t) = t**2 + 48*t + 569. Let k be a(d). Factor 1/2*u**3 + 0 + 0*u**k - 1/8*u**5 + 3/8*u**4 + 0*u.
-u**3*(u - 4)*(u + 1)/8
Suppose 0 = 2*n + 5*l - 581, 0 = -5*l + 6 + 9. Factor -n*m + 44*m**3 + 10*m**2 + 87*m + 120 + 7*m**2 + 15*m**2.
4*(m - 1)**2*(11*m + 30)
Let l(d) be the third derivative of -d**5/100 + 53*d**4/20 - 309*d**3/10 + 190*d**2 + 4*d. What is v in l(v) = 0?
3, 103
Let g be -1*(2 - (-9249)/(-2085)). Let d = g + -5/139. Determine z, given that -6/5*z + 18/5*z**3 - 21/5*z**2 - d*z**5 + 0 + 21/5*z**4 = 0.
-1, -1/4, 0, 1, 2
Let z(a) = 65*a**5 + 36*a**4 + 396*a**3 + 668*a**2 + 309*a - 6. Let r(v) = -11*v**5 - v**3 + v + 1. Let t(h) = 30*r(h) + 5*z(h). Solve t(s) = 0 for s.
-7, -1, 0, 45
Let y(n) be the third derivative of -1/6*n**5 + 0*n + 0*n**4 + 1/24*n**6 + 0*n**3 + 0 + 127*n**2. Suppose y(b) = 0. Calculate b.
0, 2
Let o(n) be the second derivative of n**6/85 - 19*n**5/170 + 7*n**4/34 - 5*n**3/51 + 2869*n. Suppose o(g) = 0. Calculate g.
0, 1/3, 1, 5
Let 2/3*b + 2/9*b**2 - 12 = 0. What is b?
-9, 6
Suppose -844*j - 120 = -852*j. Suppose -16 = -2*y - 3*o, j*o = 19*o - 16. Suppose -2/5*r**3 - 4/5*r + 0 + 6/5*r**y = 0. Calculate r.
0, 1, 2
Factor 3387*r**4 + 448*r**2 - 1128*r**4 - 1130*r**4 - 481*r - 100*r**3 + 17*r - 1133*r**4.
-4*r*(r - 2)**2*(r + 29)
Suppose -4*v = 3*u - 11, 4*v - 20 = -2*u - 6. Find t such that 5*t**v - 95*t**3 - 3*t**4 + 280*t**3 - 96*t**3 - 91*t**3 = 0.
-2/5, 0, 1
Let d = 772898 - 17776652/23. Factor -d*i**2 - 6/23*i + 0.
-2*i*(i + 3)/23
Let d(i) = i**3 + 6*i**2 - 8*i - 3. Let m be d(-7). Let w be m/(1/(-1)) + (67 - 60). Factor -3/8*g**5 - 15/8*g**w + 0*g + 3/2*g**4 + 3/4*g**2 + 0.
-3*g**2*(g - 2)*(g - 1)**2/8
Suppose 15 = -3*x - c, x - 2*c + 7 = 2. Let v(h) = 4*h**2 - h + 1. Let n(d) = 46 + 3*d**2 - 46. Let k(j) = x*n(j) + 4*v(j). Factor k(l).
(l - 2)**2
Let d(f) be the second derivative of -1/80*f**5 + 148*f + 1/24*f**3 - 13/8*f**2 + 13/48*f**4 + 0. What is k in d(k) = 0?
-1, 1, 13
Factor 45/4 - z**2 - 237/8*z.
-(z + 30)*(8*z - 3)/8
Let n be 33 + -21 + 16/60*-10. Factor 20/3*k**2 - n*k + 4 - 4/3*k**3.
-4*(k - 3)*(k - 1)**2/3
Let v(t) = -64*t + 692. Let z(j) = -j**2 - 7*j + 1. Let w(g) = v(g) + 4*z(g). Factor w(n).
-4*(n - 6)*(n + 29)
Let p(y) = -17*y**2 - 814*y + 165661. Let l(b) = 31*b**2 + 1628*b - 331320. Let x(j) = -6*l(j) - 11*p(j). Factor x(s).
(s - 407)**2
Let i(h) be the second derivative of h**5/130 - 17*h**4/78 + 28*h**3/13 - 108*h**2/13 - 284*h + 2. Factor i(j).
2*(j - 9)*(j - 6)*(j - 2)/13
Let r(h) be the third derivative of 9*h**8/56 - 48