e the first derivative of 0*t**2 + 5/14*t**6 + 0*t + 6/35*t**5 + 0*t**3 + 15 + i*t**4. Factor q(a).
3*a**4*(5*a + 2)/7
Factor -1/8*s**3 - 21/4*s**2 - 10*s + 0.
-s*(s + 2)*(s + 40)/8
Factor 2/3*y**4 + 144150 + 51788/3*y**2 - 632/3*y**3 - 97960*y.
2*(y - 155)**2*(y - 3)**2/3
Let p(l) be the second derivative of l**7/2016 + l**6/1440 - l**5/160 - l**4/12 - 87*l**2 + 96*l. Let t(n) be the third derivative of p(n). Solve t(d) = 0.
-1, 3/5
Let j be ((-91647)/27405)/17 + (-1)/(-5). Let g = j - -1817/3045. Factor -g*s + 3/5*s**3 + 3/5 - 3/5*s**2.
3*(s - 1)**2*(s + 1)/5
Let v(r) be the second derivative of -2*r**7/21 - 14*r**6/15 + 3*r**5/5 + 23*r**4/3 + 28*r**3/3 - r + 960. Find h such that v(h) = 0.
-7, -1, 0, 2
Let c(g) be the second derivative of g**4/21 - 8*g**3/7 - 8*g**2 + 76*g - 1. Factor c(t).
4*(t - 14)*(t + 2)/7
Let a be (-143)/(-2)*128/384. Let f = a - 70/3. Factor 1/2*w + 1/2 - 1/2*w**3 - f*w**2.
-(w - 1)*(w + 1)**2/2
Let q(s) be the third derivative of -s**6/40 - 799*s**5/20 - 1595*s**4/8 - 797*s**3/2 - 1226*s**2. Factor q(p).
-3*(p + 1)**2*(p + 797)
Let b(m) be the second derivative of 0*m**5 - 1/78*m**4 + 0 + 0*m**3 + 0*m**2 + 1/195*m**6 + 60*m. What is t in b(t) = 0?
-1, 0, 1
Suppose 4*t = 6*f + 108, -3*t - 105*f = -104*f + 7. Solve 32/3 + 80/3*k + 2*k**t - 46/3*k**2 = 0.
-1/3, 4
Let o = 703/1468 + 31/1468. Factor 3/2 + 5/2*y**2 - o*y**3 - 7/2*y.
-(y - 3)*(y - 1)**2/2
Let i be (((-1224)/270)/(-34))/((-2)/(-50)). Let w(n) be the third derivative of 25/24*n**4 + 19*n**2 + 0*n + i*n**3 + 1/12*n**5 + 0. Solve w(t) = 0.
-4, -1
Let -16/9*k**2 + 8 - 62/3*k = 0. What is k?
-12, 3/8
Let c(m) be the first derivative of -11/2*m**4 - 16*m + 4/3*m**3 + 106 + 12*m**2 - 1/3*m**6 + 12/5*m**5. Factor c(l).
-2*(l - 2)**3*(l - 1)*(l + 1)
What is d in -124*d**2 - 13328 + 0*d**3 - 529*d - 2*d**3 - 1694*d + 41*d - 114*d = 0?
-34, -14
Let w(q) = -7 + 4 + 4 + q - q**2. Let v(n) = -20*n**2 + 50*n - 45. Let b(y) = v(y) - 25*w(y). What is g in b(g) = 0?
-7, 2
Let v = -364462 - -728933/2. Suppose -37/6*b**2 + 13/6 - v*b + 1/2*b**3 = 0. Calculate b.
-1, 1/3, 13
Let l(x) be the first derivative of -40*x**3/27 + 43*x**2/3 + 154*x/9 - 253. Factor l(w).
-2*(w - 7)*(20*w + 11)/9
Let x(l) = -l**3 - 5*l**2 + 6*l + 8. Let f be x(-6). Solve -f + 20*o - 2*o**2 - 21*o**3 - 5*o**4 + 11*o**4 + 3*o**4 = 0 for o.
-1, 2/3, 2
Let d(p) = -p**2 - 2697*p + 21643. Let l be d(8). Factor -14/13*s**2 - 2/13*s**4 + 0 + 6/13*s + 10/13*s**l.
-2*s*(s - 3)*(s - 1)**2/13
Factor -134/7*b**2 + 2/7*b**4 + 0 + 8/7*b**3 - 20*b.
2*b*(b - 7)*(b + 1)*(b + 10)/7
Let h(r) be the third derivative of r**5/300 + 59*r**4/120 - 2*r**3 - 78*r**2 + 23. Determine x so that h(x) = 0.
-60, 1
Suppose 0*d - 2*d = -5*v + 15, -5*v + 15 = -5*d. Suppose d = -3*b + 4*m + 17 - 0, 4 = -2*m. Factor 1 + 4*j**3 - 6*j**b - j**2 + 4*j + 0*j - 2*j**3.
-(j - 1)*(j + 1)*(4*j + 1)
Let s(r) = -74*r + 592. Let v be s(8). Let f(j) be the third derivative of j**3 + 29*j**2 + v*j**6 + 2/3*j**4 + 1/5*j**5 + 0 - 1/105*j**7 + 0*j. Factor f(d).
-2*(d - 3)*(d + 1)**3
Let p(u) be the second derivative of -u**5/50 + 2*u**4/15 + 13*u**3/3 + 132*u**2/5 - 13*u - 22. Solve p(r) = 0.
-4, -3, 11
Let u be (-56)/63*-18 - (15 + -1). Factor 40/13*z - 48/13 - 2/13*z**3 - 4/13*z**u.
-2*(z - 2)**2*(z + 6)/13
Suppose -31602 - 123634 + 497*d + 2*d**2 - 2073*d - 6*d**2 = 0. What is d?
-197
Find z such that -47/2*z**2 - 117*z + 5/2 = 0.
-5, 1/47
Let p(i) be the third derivative of -i**8/1176 + 2*i**7/105 - 19*i**6/140 + 12*i**5/35 - 13*i**2 + i - 12. Suppose p(k) = 0. What is k?
0, 3, 8
Let j(t) = 52*t**2 + 3556*t - 32. Let y(c) = 8*c**2 + 547*c - 5. Let n(z) = -5*j(z) + 32*y(z). Solve n(f) = 0 for f.
-69, 0
Find k, given that -296*k**2 - 4*k**3 - 9016*k - 11946*k + 24336 + 16126*k = 0.
-39, 4
Let r = 3968/5061 + -198/1687. Factor 16/3*z - 4*z**2 + 0 + r*z**4 - 2*z**3.
2*z*(z - 4)*(z - 1)*(z + 2)/3
Let b(c) be the first derivative of -22*c**3/3 - 243. Let l be b(0). Factor -2*h**3 + 2/3*h**4 - 2/3*h + 2*h**2 + l.
2*h*(h - 1)**3/3
Let a = -30056851/228 - -131829. Let s = -3/76 + a. Suppose s*z - 2/3*z**2 + 0 = 0. What is z?
0, 1
Let n(q) = -9*q**2 + 30811*q - 59351781. Let g(h) = 8*h**2 - 30812*h + 59351748. Let v(w) = 5*g(w) + 4*n(w). Determine u so that v(u) = 0.
3852
Let -115*y - 1532*y + 2084 + 3*y**2 + 1198 = 0. Calculate y.
2, 547
Let i(l) be the first derivative of -l**6/6 - 5*l**5 - 187*l**4/4 - 121*l**3 - 3010. Factor i(w).
-w**2*(w + 3)*(w + 11)**2
Let f = -80 + 84. Let l(s) = -s + 6. Let x be l(f). Find n, given that -3*n**3 + 41*n - 9*n**x - 41*n = 0.
-3, 0
Factor 13324*c**2 - 936*c - 26651*c**2 + 13325*c**2.
-2*c*(c + 468)
Let x be 19/6 + 15/12*22/(-165). Let q(c) be the third derivative of -1/20*c**5 + 0 - 21*c**2 - 3/4*c**4 + 0*c**x + 1/40*c**6 + 0*c. Factor q(z).
3*z*(z - 3)*(z + 2)
Let w(b) = -b**4 - 88*b**3 + 288*b**2 - 297*b + 9. Let x(f) = 22*f**3 - 72*f**2 + 74*f - 2. Let n(i) = -2*w(i) - 9*x(i). Factor n(q).
2*q*(q - 6)*(q - 3)*(q - 2)
Suppose -1502*u = -1507*u, 9*u + 16 = 4*k. Solve -6*n**k + 3/5*n**5 + 48*n - 48*n**2 - 96/5 + 24*n**3 = 0.
2
Let h(u) be the third derivative of u**6/360 - 1517*u**5/90 + 2301289*u**4/72 + 4288*u**2. Find b, given that h(b) = 0.
0, 1517
Let c(d) = d**3 + 60*d**2 - 62*d - 59. Let b be c(-61). Let r(q) be the second derivative of -8/3*q**3 + 0 - 1/2*q**4 - 5*q**b + 13*q. Factor r(v).
-2*(v + 1)*(3*v + 5)
Let o(t) = 2*t + 30. Let j be o(-14). Let c(z) be the first derivative of -1/2*z**2 + z**3 - j*z - 6. Factor c(l).
(l - 1)*(3*l + 2)
Let t(n) be the third derivative of n**5/150 + 11*n**4/20 - 34*n**3/15 + 7*n**2 - 63. Factor t(c).
2*(c - 1)*(c + 34)/5
Let p(n) be the third derivative of n**7/420 + 7*n**6/180 - n**5/60 - 7*n**4/12 - 14*n**3/3 - 23*n**2. Let s(a) be the first derivative of p(a). Factor s(g).
2*(g - 1)*(g + 1)*(g + 7)
Let q(w) be the first derivative of -w**6/9 - 146*w**5/5 - 2184*w**4 - 237952*w**3/9 - 6351. Determine v so that q(v) = 0.
-104, -11, 0
Let q = 1045/4 + -260. Let l = 17/12 - q. Factor 3/2 + l*d**4 + 4*d + 11/3*d**2 + 4/3*d**3.
(d + 1)**2*(d + 3)**2/6
Let b(r) be the first derivative of 64/21*r**3 - 1/7*r**4 + 0*r + 184 - 128/7*r**2. Factor b(z).
-4*z*(z - 8)**2/7
Let r be 191 - 151 - (-1692)/(-45). Factor 16/5*s**3 + r*s**2 + 4/5*s**4 + 0*s + 0.
4*s**2*(s + 1)*(s + 3)/5
Let h(c) be the third derivative of -c**7/735 + c**6/42 + 2*c**5/105 - 34*c**4/21 - 64*c**3/7 - 11*c**2 - 15*c. Suppose h(d) = 0. Calculate d.
-2, 6, 8
Let b(n) = -5*n**2 - 34*n + 52. Let x be b(-8). Determine p, given that 40*p**2 - 108*p**2 - 5*p**3 - 24 - x*p**4 - 68*p - 26*p**3 - 5*p**3 + 8*p**3 = 0.
-3, -2, -1
Suppose 5/2*h**3 - 165*h + 1/2*h**5 - 9/2*h**4 + 100 + 133/2*h**2 = 0. What is h?
-4, 1, 2, 5
Let c = -87/281 + 12371/3653. Suppose -124/13*z**2 - 16/13 - c*z**4 - 72/13*z - 6/13*z**5 - 102/13*z**3 = 0. What is z?
-2, -1, -2/3
Let o be (-176)/53240*55 + (2 - 546/(-99)). Factor -o - 8*c - 2/3*c**2.
-2*(c + 1)*(c + 11)/3
Let g(y) be the first derivative of -2*y**3/21 - 1151*y**2/7 + 108. Determine p, given that g(p) = 0.
-1151, 0
Let c = 227/8 - 2855/104. Let b = -59415 + 772413/13. Factor 32/13*v**2 + c*v**4 + 28/13*v**3 + 2/13*v**5 + b*v + 4/13.
2*(v + 1)**4*(v + 2)/13
Suppose -s - 303*n + 304*n + 192 = 0, -5*n = -4*s + 786. Suppose 349*b**3 - 81/2*b**5 - s*b**2 + 0 + 279/2*b**4 + 20*b = 0. Calculate b.
-2, 0, 2/9, 5
Let p(l) = -10*l**2 - 99*l + 411. Let x(i) = -120*i**2 - 1190*i + 4950. Let h(r) = -25*p(r) + 2*x(r). Factor h(k).
5*(k - 3)*(2*k + 25)
Let l(s) be the second derivative of -s**4/30 - 94*s**3/5 - 281*s**2/5 + 1588*s. Let l(k) = 0. Calculate k.
-281, -1
Suppose 79*g**3 + 224 + 76*g**3 + 5*g**2 + 232*g + 75*g**2 - 153*g**3 - 16*g**2 = 0. What is g?
-28, -2
Suppose 255*q = 256*q + 4. Let z(j) = -15*j**3 - 3. Let n(y) = -y**4 - 14*y**3 - 4. Let h(s) = q*z(s) + 3*n(s). Factor h(f).
-3*f**3*(f - 6)
Suppose 0 = -23*d + 1545 + 870. Determine m, given that 333*m + 4500 + 72*m + 5*m**2 - d*m = 0.
-30
Let k(x) be the second derivative of x**7/147 + 2*x**6/105 - x**5/10 - 4*x**4/21 + 4*x**3/7 + 851*x. Solve k(v) = 0 for v.
-3, -2, 0, 1, 2
Let m be (6/5)/((-693)/(-165)). Let s(k) = -k + 14. Let r be s(11). Factor -2/7*j - m*j**r + 0 + 4/7*j**2.
-2*j*(j - 1)**2/7
Suppose -7 = -5*m - 4*g + 55, -5*g +