irst derivative of -1/9*l**3 + l**2 + 0*l + u. Factor f(a).
-a*(a - 6)/3
Suppose 46787405/3*u**3 + 437812253326805/6*u - 15295/6*u**4 + 1/6*u**5 - 267853536585339299/6 - 143122671895/3*u**2 = 0. What is u?
3059
Suppose -2*y + 8 = 2*h, 0 = -h + 3*y + 11 - 23. Let l(x) be the second derivative of 0*x**3 - 5/12*x**4 + h*x**2 - 8*x - 1/8*x**5 + 0. Factor l(q).
-5*q**2*(q + 2)/2
Suppose -l + 56 = c, -l - 3*c + 0*c = -48. Let i be l/12*(0 - -3). Factor 3*a**3 - 33*a**2 - 3*a**3 + 6 + 12*a**3 + i*a + 0*a**3.
3*(a - 2)*(a - 1)*(4*a + 1)
Let w be ((-350)/(-21))/10 + (-12)/18. Let t be (w/(-3))/(98/(-490)). Factor 2/3*s**2 - 11/3*s + t.
(s - 5)*(2*s - 1)/3
Let q(r) = -121*r - 602. Let t be q(-5). Let v(j) be the third derivative of 0 + 7/30*j**6 - 7/6*j**4 + 4/3*j**t - 16*j**2 + 0*j - 2/15*j**5. Factor v(m).
4*(m - 1)*(m + 1)*(7*m - 2)
Let b(v) = -v**3 + 262*v**2 + 534*v - 1582. Let x be b(264). Factor -7/4*g + 3/2 + 1/4*g**x.
(g - 6)*(g - 1)/4
Let j(p) = -5*p**4 + p**3 + 3*p - 1. Let m(k) = 41*k**4 - 397*k**3 - 2358*k**2 - 4756*k - 3152. Let r(d) = 8*j(d) + m(d). Factor r(s).
(s - 395)*(s + 2)**3
Let v(r) be the second derivative of r**4/72 - 61*r**3/18 - 64*r**2 - 843*r + 2. Let v(f) = 0. Calculate f.
-6, 128
Let s = -14433 + 14437. Let r(w) be the first derivative of -w**5 + 20*w**2 - 5/2*w**s + 20*w + 5*w**3 + 23. Factor r(c).
-5*(c - 2)*(c + 1)**2*(c + 2)
Suppose -192*q - 85*q = 0. Let f(y) be the second derivative of -1/2*y**2 + 1/100*y**5 + 36*y + 11/30*y**3 - 7/60*y**4 + q. Factor f(k).
(k - 5)*(k - 1)**2/5
Let q(a) be the third derivative of a**8/336 - 3*a**7/70 - 19*a**6/120 + 101*a**5/60 - 19*a**4/4 + 20*a**3/3 - 1292*a**2. Suppose q(s) = 0. Calculate s.
-4, 1, 10
Let p be ((-12)/(-110))/((-2814)/(-18760)). Factor 2/11*s**3 + 0 + p*s - 8/11*s**2.
2*s*(s - 2)**2/11
Let x(r) be the third derivative of -r**2 + 1/42*r**7 + 0*r - 5/12*r**6 + r**5 + 1 + 0*r**3 + 15*r**4. Factor x(d).
5*d*(d - 6)**2*(d + 2)
Suppose 4*x + 995*w - 999*w - 76 = 0, 0 = -4*x + 3*w + 61. Suppose 108*c**2 + 54*c**3 + 9*c**x + 0 + 1/2*c**5 + 0*c = 0. Calculate c.
-6, 0
Let u(h) = -13*h + 112. Let q be u(6). Suppose -q*y + 106 = -98. Factor -25/2*f**2 - 125/2*f**3 + 20*f + y.
-(5*f - 3)*(5*f + 2)**2/2
Factor 53792/3 + 328/3*j + 1/6*j**2.
(j + 328)**2/6
Suppose -13*q - 25 + 77 = 0. Factor -94 + 367*n + 53*n - 80*n**2 - q*n**3 + 5*n**3 - 626 + 4*n**3.
5*(n - 6)**2*(n - 4)
Let 546*m**3 - 90 - 1545/2*m**2 - 147/2*m**4 - 582*m = 0. What is m?
-2/7, 3, 5
Suppose 0 = 6*s + 8*s + 252. Let y be 3/s*(-12 - -9). Factor 9/4*i**2 + 7/4*i - y.
(i + 1)*(9*i - 2)/4
Let w be ((-304)/(-152))/((-195)/(-24) - (-9)/24). Factor 10/17*v - 8/17*v**2 + 2/17*v**3 - w.
2*(v - 2)*(v - 1)**2/17
Let u be (-178)/(-16) - (2574/14586 + 368/34). Find h, given that -1/4*h**2 + 1/8 + 1/8*h**4 - 1/4*h**3 + 1/8*h**5 + u*h = 0.
-1, 1
Let b be -29 - 645/(-20) - (-2)/(-16)*2. Let z(s) be the first derivative of 4/3*s**2 + 4/9*s**b - 1/3*s**4 + 0*s - 4. Factor z(n).
-4*n*(n - 2)*(n + 1)/3
Let w(y) be the first derivative of -5046/7*y**3 + 189 - 146334/7*y**2 - 3/35*y**5 - 2121843/7*y - 87/7*y**4. Factor w(s).
-3*(s + 29)**4/7
Determine f, given that 0 - 396/5*f - 36/5*f**4 + 60*f**2 + 9/5*f**3 + 3/5*f**5 = 0.
-3, 0, 2, 11
Suppose 15*o - 8*o - 112 = 0. Let 24*a**2 + 24 - 13*a**2 + 46 - 65*a - o*a**2 = 0. What is a?
-14, 1
Let x(p) be the third derivative of -2*p**7/105 + 14*p**6/15 - 97*p**5/15 + 3*p**4 + 96*p**3 + 4*p**2 + 289. Let x(z) = 0. What is z?
-1, 2, 3, 24
Let u(t) = -t + 1. Let p(m) = 5*m**2 + 89*m + 96. Let y(c) = -c - 11. Let l be y(-10). Let v(k) = l*p(k) + 6*u(k). Factor v(i).
-5*(i + 1)*(i + 18)
Let y be (2 - 3)/((-2)/8) + 131/(-33). Let s(d) be the second derivative of 1/11*d**2 + y*d**3 + 5*d - 5/66*d**4 + 0 + 3/110*d**5. Suppose s(c) = 0. What is c?
-1/3, 1
Let s(f) be the second derivative of -f**5/130 + 17*f**4/26 - 168*f**3/13 + 108*f**2 - 29*f + 27. Factor s(t).
-2*(t - 39)*(t - 6)**2/13
Let r = -118 + 124. Factor -5*a**4 + 628*a**3 - 7*a**4 - 613*a**3 - r*a**2 + a**5 + 2*a**5.
3*a**2*(a - 2)*(a - 1)**2
Suppose 6*y - 271 = 479. Let -y*j**2 + 13 - 109*j + 89 - 491*j - 822 = 0. Calculate j.
-12/5
Let o(c) = 10*c**4 - 64*c**3 + 20*c**2 + 38*c - 14. Let a(g) = 2*g**4 - 13*g**3 + 4*g**2 + 7*g - 3. Let f(d) = 28*a(d) - 6*o(d). Factor f(t).
-4*t*(t - 4)*(t - 2)*(t + 1)
Let v(x) = 7*x - 309. Let d be v(44). Let f be (2 - (-5)/(-15)) + 1/d. Factor -1/3*q - f + 1/3*q**2.
(q - 2)*(q + 1)/3
Let c(o) be the third derivative of -o**8/2016 - 11*o**7/315 - 35*o**6/48 - 49*o**5/20 + 3255*o**2. Determine u so that c(u) = 0.
-21, -2, 0
Let g(q) be the second derivative of -q**4/3 + 88*q**3/3 + 1770*q**2 + 4*q - 520. Factor g(k).
-4*(k - 59)*(k + 15)
Suppose -3300*t + 17 = -3297*t - l, -4*t - l - 3 = 0. Suppose 8/7*k**3 - 6/7*k**t - 2/7*k**4 - 8/7*k + 8/7 = 0. What is k?
-1, 1, 2
Suppose 0 = 106*d - 128*d. Let i be d + -1 + (-100)/210*-3. Factor 1/7*v**4 + 0 + 0*v**2 - 4/7*v + i*v**3.
v*(v - 1)*(v + 2)**2/7
Let p be (2/3)/(-4 + (-62)/(-15)). Suppose -i**2 + 8*i**3 - 16*i**3 + p*i**2 + 9*i**3 = 0. What is i?
-4, 0
Let a(l) = 9*l**4 - 89*l**3 - 12*l**2 + 255*l - 173. Let m(d) = d**4 - d**3 - d - 1. Let v(w) = a(w) - 5*m(w). What is y in v(y) = 0?
-2, 1, 21
Let x(h) be the second derivative of -h**6/30 - 7*h**5/15 - 5*h**4/2 - 6*h**3 - 63*h**2/2 + 3*h + 22. Let k(c) be the first derivative of x(c). Factor k(a).
-4*(a + 1)*(a + 3)**2
Factor 43 - 28*n - 2*n**2 - 19 + 50*n.
-2*(n - 12)*(n + 1)
Suppose -h - 256 + 235 = -4*l, -l = -2*h - 14. Let a(p) be the first derivative of 1/3*p**3 - 11 + 5/2*p**2 + l*p. Solve a(x) = 0.
-4, -1
Let s = -119 - -134. Suppose 0 = 14*o - s*o + 2. Determine d, given that -o + 8 - 6*d + 37*d**2 - 36*d**2 + 3 = 0.
3
Let l = 566 - 555. Let y be (-10)/l*-3*1/3. Let y*d - 12/11 - 2/11*d**2 = 0. What is d?
2, 3
Let m(c) be the third derivative of c**6/360 - 137*c**5/90 - 551*c**4/72 - 46*c**3/3 - 1588*c**2. Factor m(s).
(s - 276)*(s + 1)**2/3
Let l(d) = -54*d**2 + 149*d - 16. Let x(u) = 112*u**2 - 297*u + 36. Let f(v) = 5*l(v) + 3*x(v). Factor f(y).
2*(y - 2)*(33*y - 7)
Let c(k) be the third derivative of 0*k**4 + 12/5*k**5 + 0*k + 0*k**3 + 122*k**2 + 2/105*k**7 - 2/3*k**6 + 0. Find q such that c(q) = 0.
0, 2, 18
Let y(z) be the second derivative of -2 + 1/6*z**4 + 1/27*z**6 + 2/27*z**3 + 0*z**2 - 88*z + 2/15*z**5. Factor y(p).
2*p*(p + 1)**2*(5*p + 2)/9
Let d(z) be the second derivative of -18*z - 13/2*z**3 - 2 + 20*z**2 - 1/12*z**4. Factor d(f).
-(f - 1)*(f + 40)
Let a(h) be the third derivative of 2 + 7/12*h**5 - 5/336*h**8 - 1/14*h**7 + 0*h + 0*h**4 - 7*h**2 + 1/24*h**6 - 10/3*h**3. Determine g so that a(g) = 0.
-2, -1, 1
Let b = -243 - -246. Factor -10*s**2 - 3*s**3 + 22*s**b + 24 - 17*s**3 - 16*s.
2*(s - 6)*(s - 1)*(s + 2)
Solve -5*q**4 + 1087*q**3 + 1011*q**3 + 1035*q**3 - 3221*q**3 - 208*q**2 + q**5 = 0 for q.
-4, 0, 13
Let b(z) = 15361*z**2 - 496*z + 1. Let l(s) = 76800*s**2 - 2480*s + 4. Let c(h) = -16*b(h) + 3*l(h). Find d such that c(d) = 0.
1/62
Let x(a) be the third derivative of -13*a**5/30 + 19*a**4/6 - 8*a**3 - 3*a**2 + 4*a. Suppose x(g) = 0. Calculate g.
12/13, 2
Let m(l) be the first derivative of l**3/7 + 2283*l**2/7 + 1737363*l/7 + 1007. Factor m(r).
3*(r + 761)**2/7
Suppose 153/4*h - 285/4*h**2 + 21/2 = 0. What is h?
-1/5, 14/19
Let i(m) be the second derivative of -219*m - 3/20*m**5 - 95/16*m**4 + 54*m**2 + 0 - 69*m**3. Factor i(a).
-3*(a + 12)**2*(4*a - 1)/4
Let n(r) be the first derivative of -r**4/7 - 268*r**3/21 - 132*r**2/7 - 5519. Factor n(y).
-4*y*(y + 1)*(y + 66)/7
Let j = 146 + -141. Find o, given that -j*o - 9*o - 2*o**2 + 17*o - o = 0.
0, 1
Let i be 276/(-3450)*(2 + -212). Factor 3/5*x**2 + i*x + 588/5.
3*(x + 14)**2/5
Let t(l) = 18*l - 29. Let p be t(2). Let b(d) = -4*d**2 + 29*d - 5. Let w be b(p). Factor -1/3*q**3 - 4/3*q**w + 4/3 + 1/3*q.
-(q - 1)*(q + 1)*(q + 4)/3
Let f(m) = -m**3 + 17*m**2 + 18*m - 62. Let w(x) be the second derivative of 3*x**4/2 + 7*x**3/2 - 63*x**2/2 - 207*x. Let t(p) = 3*f(p) - 2*w(p). Factor t(j).
-3*(j - 5)*(j - 2)*(j + 2)
Let a be ((-6)/(-12))/(2/24). What is q in 4*q - 2941*q**3 + 18 + 2*q**4 + a - 3*q**5 + 4*q**5 + 2932*q**3 - 22*q**2 = 0?
-2, 1, 3
Determine k so that 4/3*k**2 + 11*k + 65/3 = 0.
-5, -13/4
Let u(r) = 2*r**2 + 4