the third derivative of p**8/10080 - p**7/1260 - p**6/45 - 5*p**5/6 + p**3/2 - 37*p**2 + 2. Let f(n) be the third derivative of l(n). Factor f(s).
2*(s - 4)*(s + 2)
Let p be ((-8752)/100)/((-3)/15). Let i = -437 + p. Factor 0*o**4 + 0 + 1/5*o**5 - 8/5*o**2 - i*o - 6/5*o**3.
o*(o - 3)*(o + 1)**3/5
Let t(i) be the third derivative of 0*i - 89*i**2 - 5/8*i**4 + 0 - 1/20*i**5 + 7*i**3. Solve t(x) = 0.
-7, 2
Let m(i) = 4*i + 135. Let v be m(-31). Solve -v - 8 - 4*k**3 + 3 + 4*k - 12 + 28*k**2 = 0 for k.
-1, 1, 7
Let l(q) be the first derivative of -q**6/12 - 23*q**5/5 - 215*q**4/4 + 1126*q**3/3 - 3025*q**2/4 + 625*q - 1353. Suppose l(b) = 0. Calculate b.
-25, 1, 2
Let h be ((-46)/3)/(1238/246 + -5). Let b = h - -472. Factor 1/2*c**4 + c + 0*c**2 - b - c**3.
(c - 1)**3*(c + 1)/2
Let b be 6*((-2 + 1)*-1 - -2). Suppose 5*j - b = -j. Factor 3*w - w + 29 - 29 - 2*w**j.
-2*w*(w - 1)*(w + 1)
Determine s so that -50/23*s**3 + 10/23*s**2 + 52/23*s - 32/23 + 22/23*s**4 - 2/23*s**5 = 0.
-1, 1, 2, 8
Let n(j) = 3*j + 30 - 23 + 41 + j**3 - 9*j**2 - j. Let y be n(8). Solve 4/7*l**2 + 0*l + 8/7*l**4 - 2/7*l**5 - 10/7*l**3 + y = 0 for l.
0, 1, 2
Let -1568*g - 50*g**4 - 7*g**5 + 1533*g**2 + 2855*g**2 - 1675*g**3 - 800 + 121*g**2 + 286*g**4 - 695*g**2 = 0. Calculate g.
-2/7, 1, 4, 25
Factor -222 - 1826 + 19*w**2 + 98*w - 29*w**2 + 8*w**2 + 30*w.
-2*(w - 32)**2
Let k(z) be the second derivative of -z**5/100 + 13*z**4/5 + 21*z**3/2 + 79*z**2/5 + 842*z + 2. Determine p so that k(p) = 0.
-1, 158
Let -5538/7*q - 675/7*q**4 - 3870/7*q**3 - 1521/7 - 7212/7*q**2 = 0. Calculate q.
-3, -1, -13/15
Let o(l) be the third derivative of -l**6/30 + 1141*l**5/15 + 4567*l**4/24 + 571*l**3/3 + 187*l**2 + 5. Factor o(j).
-(j - 1142)*(2*j + 1)**2
Let q(p) be the second derivative of p**5/2 + 23*p**4/6 + 32*p**3/3 + 12*p**2 - 1189*p. Suppose q(j) = 0. What is j?
-2, -3/5
Let v(u) be the second derivative of 1/72*u**4 + 7/36*u**3 + 136*u + 0 + 0*u**2. Determine s so that v(s) = 0.
-7, 0
Let q be (-15)/((21/(-140))/(10/250*5)). Determine t so that -q*t + 300 + 1/3*t**2 = 0.
30
Let w be 5/(-8)*(2*156/(-40) + (8 - 1)). Let g(q) = q + 1. Let s be g(-1). Factor 1/4*n**4 + w*n**3 + s*n + 0 - 3/4*n**2.
n**2*(n - 1)*(n + 3)/4
Let j(s) be the first derivative of -s**5/20 + 39*s**4/16 - 25*s**3/4 + 37*s**2/8 + 39. Factor j(g).
-g*(g - 37)*(g - 1)**2/4
Let a(d) be the third derivative of d**7/70 + 3*d**6/20 + 11*d**5/20 + 3*d**4/4 - 180*d**2 + 8*d. Factor a(f).
3*f*(f + 1)*(f + 2)*(f + 3)
Let l = -5/152 - -319/456. Let d(k) be the second derivative of -l*k**3 + 5/6*k**4 + 1/15*k**6 + 12*k + 0*k**2 + 0 - 2/5*k**5. Find a such that d(a) = 0.
0, 1, 2
Factor 1/3*l**2 - 89/3 - 88/3*l.
(l - 89)*(l + 1)/3
Suppose 180*b + 514*b - 2082 = 0. Factor -2/3*j**2 + 0 + 4/5*j + 2/15*j**b.
2*j*(j - 3)*(j - 2)/15
Suppose 6 = x + 3, 0 = 5*n + 5*x - 25. Factor -115*w - 4*w**2 + 61*w + 60*w - n*w**3.
-2*w*(w - 1)*(w + 3)
Let j(c) be the third derivative of c**7/525 + 2*c**6/25 - 151*c**5/150 - 29*c**4/10 + 1224*c**2 + 1. Determine h, given that j(h) = 0.
-29, -1, 0, 6
Let y(z) be the second derivative of -z**6/15 - 38*z**5/5 + 13*z**4 + 76*z**3/3 - 77*z**2 + 3226*z. Factor y(m).
-2*(m - 1)**2*(m + 1)*(m + 77)
Let j(r) = r**3 - 9*r**2 + 1024*r - 9214. Let g be j(9). Determine a so that -8/3*a**4 + 64/3*a + 64/9*a**g + 128/9 - 4/9*a**5 - 32/9*a**3 = 0.
-2, 2
Factor 0 + 1/5*p**2 - 72/5*p.
p*(p - 72)/5
Let k(p) be the first derivative of -2*p**3/9 - 70*p**2/3 + 96*p - 9845. Factor k(t).
-2*(t - 2)*(t + 72)/3
Let y = 475442 - 475442. Let y*g - 4/7*g**2 + 36/7 = 0. What is g?
-3, 3
Let g = -323298 + 323301. Suppose 529/8 + 253/2*x - 11/2*x**g + 1/8*x**4 + 219/4*x**2 = 0. Calculate x.
-1, 23
Let n(l) be the third derivative of 79*l**2 - 13/8*l**4 + 1/20*l**5 + 0 + 6*l**3 + 0*l. Factor n(i).
3*(i - 12)*(i - 1)
Let r(t) be the second derivative of t**4/3 + 1466*t**3/3 - 1468*t**2 - 859*t - 2. Determine s, given that r(s) = 0.
-734, 1
Let b(l) be the first derivative of -5*l**4/4 + 2705*l**3 - 3296715*l**2/2 + 3288605*l - 80. Factor b(j).
-5*(j - 811)**2*(j - 1)
Suppose 31*y - 1420 = 36*y. Let r = y + 569/2. Find i such that 1/2*i + 0 + 1/4*i**2 - r*i**3 - 1/4*i**4 = 0.
-2, -1, 0, 1
Let h(u) = 58*u**3 - 6*u**2 - 3. Let a be h(-3). Let q = a - -1625. Find m such that 8/3*m**3 + 10/3*m**4 + 0 + 2/3*m**5 + 0*m + 0*m**q = 0.
-4, -1, 0
Let i(d) be the second derivative of d**7/504 - d**6/18 + d**5/2 - 20*d**4/9 - 43*d**3/2 + 226*d. Let p(x) be the second derivative of i(x). Factor p(g).
5*(g - 8)*(g - 2)**2/3
Let z be 15*((-70)/15 + 5). Let i be 2/(-5) + 135/25. Solve -i*w + 4*w**2 - 13 + 2*w - z*w + 1 = 0.
-1, 3
Suppose 2*n + 41 = 117*t - 112*t, 5*n = -3*t - 56. Determine a, given that 3/2*a**5 + 27/2*a**t - 3*a + 0 - 7/2*a**2 - 17/2*a**4 = 0.
-1/3, 0, 1, 2, 3
Let q = 898/31 - -54221/62. Let o = q - 902. Determine b so that 0 + 0*b - o*b**4 + 1/2*b**2 + b**3 = 0.
-1/3, 0, 1
Let w(l) be the third derivative of -l**8/84 - 10*l**7/21 + 83*l**6/30 - 31*l**5/15 - 41*l**4/3 + 112*l**3/3 - l**2 - 857*l. Let w(m) = 0. Calculate m.
-28, -1, 1, 2
Let d be (-1 + -1)*(-828)/3864. Solve -6/7*m + 9/7*m**2 + 0*m**3 + 0 - d*m**4 = 0.
-2, 0, 1
Let v be (-19 - -2)*-1 - (-19 + 24). Suppose -12*a**2 - 91*a + 31*a - 35*a**4 + 120*a**3 - a**2 - v*a**2 = 0. Calculate a.
-4/7, 0, 1, 3
Factor -568/3*n - 2/3*n**2 - 376.
-2*(n + 2)*(n + 282)/3
Factor -15*g**3 + 803*g - 17*g**4 + 20*g**4 - 30 - 752*g - 9*g**2.
3*(g - 5)*(g - 1)**2*(g + 2)
Let -11/7*z**3 - 20/7*z**2 - 6/7 + 37/7*z = 0. Calculate z.
-3, 2/11, 1
Let k be 298/(-5) + 58/(-145). Let y be (-1)/k*58 - (-2)/10. Let -1/2*n**3 - 2/3 + y*n**2 + 0*n = 0. What is n?
-2/3, 1, 2
Let x be 141/(-611)*(-1)/7. Let f = 137/1365 + x. What is r in -4/15*r**2 + 0 + 4/15*r**4 - f*r**5 + 0*r**3 + 2/15*r = 0?
-1, 0, 1
Let x(w) be the first derivative of w**3/12 + 63*w**2/2 - 127*w - 4090. Suppose x(d) = 0. Calculate d.
-254, 2
Suppose -4*k - 6*p = 30, -26 = 626*k - 623*k + 5*p. Factor -29/3*i**2 - 196/3 - 224/3*i - 1/3*i**k.
-(i + 1)*(i + 14)**2/3
Factor 441/2*a - 87/2*a**2 + 3/2*a**3 - 621/2.
3*(a - 23)*(a - 3)**2/2
Let r(m) be the first derivative of -m**4/10 + 302*m**3/5 - 360*m**2 + 3592*m/5 + 2854. Factor r(x).
-2*(x - 449)*(x - 2)**2/5
Suppose 0 = 8*d - 5*d - 9. Suppose 3*h = -5*i + 34 + 15, 2*h = 2*i - 26. Factor -4*r**3 - 16*r**d + i*r**2 - 2*r**4 + 7*r**4 + 9*r**2.
5*r**2*(r - 2)**2
Let m = -1930 - -1929. Let q(d) = -75*d - 55*d**3 + 1 - 13 - 63*d**2 - 59*d**2. Let g(h) = h**2 + 1. Let k(u) = m*q(u) - 2*g(u). Factor k(i).
5*(i + 1)**2*(11*i + 2)
Let p(a) = -2*a**2 - 208*a - 2044. Let i be p(-93). Let m(w) be the second derivative of 1/66*w**3 - 1/132*w**4 + 0 + 7*w + 0*w**i. Factor m(d).
-d*(d - 1)/11
Let c = -356 + 355. Let i be c/5 - 1472/(-960). Solve -2/3*n**3 + 0 - 2/3*n + i*n**2 = 0 for n.
0, 1
Let r be ((-37)/(8436/12))/(16/(-152)). Factor -r*c**4 - 24*c**2 + 15/2*c**3 + 0 - 32*c.
-c*(c - 8)**2*(c + 1)/2
Let h(q) = 6*q + 6. Let a(m) = m**2 - 1. Let c = 19 - 20. Suppose -7 + 10 = 3*d, -4*p - 8 = 4*d. Let s(w) = c*h(w) + p*a(w). Solve s(y) = 0 for y.
-1
Let i(p) be the first derivative of -26/9*p + 1/27*p**3 + 25/18*p**2 + 88. Let i(y) = 0. Calculate y.
-26, 1
Let v(x) be the second derivative of 1 - 26/11*x**2 - 1/22*x**4 - 29/33*x**3 - 33*x. Factor v(w).
-2*(w + 1)*(3*w + 26)/11
Let h(q) be the first derivative of 125*q**6/6 - 195*q**5 + 2595*q**4/4 - 2765*q**3/3 + 600*q**2 - 180*q + 597. What is u in h(u) = 0?
2/5, 1, 3
Let q(t) be the third derivative of t**7/840 + t**6/120 - 2*t**5/15 + t**4/2 + 34*t**3/3 - 4*t**2 + 26*t. Let z(r) be the first derivative of q(r). Factor z(j).
(j - 2)*(j - 1)*(j + 6)
Let x(i) be the third derivative of -25*i**8/84 - 79*i**7/42 - 17*i**6/8 + 49*i**5/6 + 95*i**4/6 - 20*i**3 + 2488*i**2. Let x(y) = 0. What is y?
-2, -6/5, 1/4, 1
Let c be (-4 + 7 - 2) + 2. Suppose -c*p = 3*f - 6, -3*f - 14 - 1 = -4*p. What is u in 4*u**4 - 7*u**p - 10*u**2 + 2*u**2 + 3*u**3 = 0?
-1, 0, 2
Let z(s) be the second derivative of -s**7/13860 + 7*s**6/990 - 61*s**4/12 - 71*s + 1. Let x(y) be the third derivative of z(y). Factor x(g).
-2*g*(g - 28)/11
Let m(x) be the first derivative of x**4 - 2096*x**3/3 + 136234*x**2 + 553352*x + 2784. Factor m(v).
4*(v - 263)**2*(v + 2)
Let h(j) be the secon