econd derivative of 3/5*n**5 - 2*n**3 + 13*n + 2 + 2/15*n**6 + 0*n**2 - 1/3*n**4. Factor b(m).
4*m*(m - 1)*(m + 1)*(m + 3)
Let g be (69306/6864 - 10) + 4/(-26). Let a = 113/440 + g. What is q in 1/5*q**2 + a*q - 6/5 = 0?
-3, 2
Let p(g) be the third derivative of g**7/560 - 29*g**6/480 - 403*g**5/480 - 271*g**4/96 - 25*g**3/6 - 2*g**2 + 313*g. Find m such that p(m) = 0.
-4, -1, -2/3, 25
Let a(n) = 796*n**2 + 106*n. Let x(t) = -289*t**2 - 35*t. Let w(k) = 4*a(k) + 11*x(k). Factor w(h).
h*(5*h + 39)
Factor 0 - 10/7*r**4 - 4/7*r**3 - 6/7*r**5 + 0*r + 0*r**2.
-2*r**3*(r + 1)*(3*r + 2)/7
Let l(m) be the second derivative of m**7/21 - 7*m**6/15 + 9*m**5/5 - 10*m**4/3 + 8*m**3/3 + 830*m. What is x in l(x) = 0?
0, 1, 2
Let 3*b - 3*b + 230*b**3 - 1522*b**5 + 1517*b**5 - 15*b**4 + 240*b**2 = 0. Calculate b.
-8, -1, 0, 6
Let x = -51 + 48. Let k be (-1 - x)*2 + 1. Factor -3*u**3 + 2 + k*u - 7*u - u**2 - u - u**4 + 6*u.
-(u - 1)*(u + 1)**2*(u + 2)
Suppose 1047 - 1069 = -2*p. Solve 5 + 2*u**2 - 18 + p = 0.
-1, 1
Let t be (-4 + 2)*(-5 + (-39999 - -4)). Factor 3200000 - 444343*o + t*o**2 + 100*o**4 - 4000*o**3 - 4*o**5 - 5*o**5 + 8*o**5 - 355657*o.
-(o - 20)**5
Suppose 7*a = 5*h - 3*h + 23, -h = 4*a - 26. What is u in 1/5*u**4 - u**2 - u**3 + 4/5 + 4/5*u + 1/5*u**a = 0?
-2, -1, 1, 2
Let u(h) = h + 21. Let q be u(3). Find g, given that 9*g**2 - 60*g - 900 + q*g**2 - 34*g**2 = 0.
-30
Let t be (71/994)/(1/(-4) + 165/420). Let t*c**5 + 8*c**4 - c**3 + 1/2*c + 8 - 16*c**2 = 0. What is c?
-16, -1, 1
Suppose 4*n - 4*j - 24 = 0, 4*n + 0*j + 3*j - 38 = 0. Suppose -7*f = -n*f + 2. Determine z, given that 3*z - 2*z**f + 234 + 7*z**2 + 57*z - 54 = 0.
-6
Let k be 28 - -234*16/(-144). Factor 8/3*m + 2/9*m**k + 22/9.
2*(m + 1)*(m + 11)/9
Let q(g) be the third derivative of g**5/270 + 77*g**4/216 - 13*g**3/18 - 11800*g**2. Suppose q(l) = 0. Calculate l.
-39, 1/2
Determine k, given that -32/7*k + 4/7*k**2 + 48/7 = 0.
2, 6
Let z(f) = -51*f**4 + 132*f**3 + 690*f**2 - 28164*f - 308655. Let m(x) = 9*x**4 - x**3 - x**2 + x. Let t(o) = 6*m(o) + z(o). Factor t(s).
3*(s - 15)*(s + 19)**3
Factor 870*b + 3/2*b**2 + 126150.
3*(b + 290)**2/2
Suppose 18*u = -959 + 1013. Let q(t) be the third derivative of 0*t + 1/150*t**5 - 1/30*t**4 + 0 + 0*t**u - 15*t**2. Factor q(o).
2*o*(o - 2)/5
Let m(k) = k**3 - 1. Let u(p) = 4*p**2 - 40. Let s be u(0). Let t(z) = z**4 + 6*z**3 + z**2 - 8. Let x = 11 - 6. Let q(n) = s*m(n) + x*t(n). Factor q(g).
5*g**2*(g - 1)**2
Let b(q) be the first derivative of q**3/18 - 10*q**2 + 448*q/3 - 3588. Suppose b(o) = 0. What is o?
8, 112
Let q(c) be the third derivative of c**8/420 - 64*c**7/525 + 29*c**6/50 + 4*c**5/75 - 58*c**4/15 + c**2 + 10*c - 42. Suppose q(j) = 0. Calculate j.
-1, 0, 2, 29
Let t = 726456 - 726453. Solve 16/3*m**2 + 0*m - 4*m**t + 0 + 2/3*m**4 = 0.
0, 2, 4
Let t = 162 - 116. Factor 3*f - t*f**2 + 7*f + 51*f**2.
5*f*(f + 2)
Let w be (-64 + -8)*(-5)/15*3. Suppose 30*n = 42*n - w. Factor -n + 15/2*b - 3/2*b**2.
-3*(b - 4)*(b - 1)/2
Factor -8698*p - 7931*p + 5*p**2 + 5832000 + 5829*p.
5*(p - 1080)**2
Let w = 1/225 + 67/1800. Let i(h) be the third derivative of 1/240*h**5 - w*h**3 + 0 - 3*h**2 + 0*h**4 + 0*h. Factor i(k).
(k - 1)*(k + 1)/4
Let t(v) be the third derivative of v**5/20 + v**3/6 - v**2. Let a = 136 + -130. Let u(c) = -c**2 - 1. Let x(d) = a*u(d) + 3*t(d). Factor x(r).
3*(r - 1)*(r + 1)
Determine s so that 2/3*s**2 + 692/3*s + 230 = 0.
-345, -1
Let r be 125 + (-1)/(36/(-8) - -5). Suppose 34*t = -7*t + r. Find s such that 1/4*s**t + 6*s - 4 - 9/4*s**2 = 0.
1, 4
Let w(v) be the second derivative of v**4/30 + 37*v**3/3 - 186*v**2/5 - 1501*v. Let w(p) = 0. Calculate p.
-186, 1
Let l = 967 - 964. Let v be 142/9 + 2/9. Factor 12*p**5 - p**l + 24*p**2 - 6 - 15*p**3 - v*p**4 + 4*p - 2 + 0*p**3.
4*(p - 1)**3*(p + 1)*(3*p + 2)
Let a be (-28)/(-4) + -4 - 0. Factor -383*p - 14*p**a - 3*p**4 - 64 + 215*p - 80 - 73*p**2 + 2*p**4.
-(p + 3)**2*(p + 4)**2
Let r(o) be the second derivative of -o**7/735 + 2*o**6/105 - 55*o**2/2 - o + 77. Let w(j) be the first derivative of r(j). What is p in w(p) = 0?
0, 8
Let n(f) be the second derivative of -3*f**7/70 - f**6/20 + 3*f**5/5 + f**4 - 3*f**2 + f - 14. Let x(o) be the first derivative of n(o). Factor x(j).
-3*j*(j - 2)*(j + 2)*(3*j + 2)
Suppose -10*f + 96 = 14*f. Suppose 6 = 4*l + 2*j, -4*l + 3*j + 9 = f*j. Factor 20/3*z**2 + 4/3*z**l + 25/3*z + 0.
z*(2*z + 5)**2/3
Determine l so that -3/7*l**3 - 90/7*l**2 + 36 - 159/7*l = 0.
-28, -3, 1
Let v(i) be the third derivative of -i**6/72 + i**5 - 115*i**4/24 + 107*i**3/3 + 214*i**2. Let r(t) be the first derivative of v(t). Factor r(g).
-5*(g - 23)*(g - 1)
Suppose 8*g - 28 = -12. Solve -482*v**2 + 974*v**2 - 490*v**g = 0 for v.
0
What is g in 0 + 16/3*g**3 + 16/3*g**2 + 0*g + 4/3*g**4 = 0?
-2, 0
Let s = -70 - -283/4. Let v be 6/20 + (-3393)/(-1740). Factor v + s*d - 9/4*d**2 - 3/4*d**3.
-3*(d - 1)*(d + 1)*(d + 3)/4
Let x(y) = -24961*y + 274571. Let p be x(11). Factor 0 - 8/7*t**3 + p*t - 32/7*t**2 + 4/7*t**4.
4*t**2*(t - 4)*(t + 2)/7
Let d = 92021 - 644135/7. Factor -300/7*x**3 - 1800/7*x + d*x**4 + 2019/7*x**2 + 432/7.
3*(x - 12)**2*(2*x - 1)**2/7
Let b(i) be the first derivative of -4*i**3/3 + 1282*i**2 + 2572. Suppose b(n) = 0. Calculate n.
0, 641
Let o(m) be the second derivative of -m**6/150 + 7*m**5/100 + 7*m**4/20 - 9*m**3/10 - 1479*m. Factor o(z).
-z*(z - 9)*(z - 1)*(z + 3)/5
Let 262/11*v**2 - 792 + 768*v + 2/11*v**3 = 0. Calculate v.
-66, 1
Let d be (27/(-18) - (-455)/(-182))*3/(-4). Factor -8/3*o + 4*o**2 - 16/3 + 2/3*o**4 + 10/3*o**d.
2*(o - 1)*(o + 2)**3/3
Let c(m) be the first derivative of m**4/12 + 112*m**3/9 - 115*m**2/2 + 5928. Factor c(w).
w*(w - 3)*(w + 115)/3
Let o = 494 + -381. Let p = o - 108. Suppose -16/3 + 1/3*n**4 - 8/3*n + 8/3*n**3 + p*n**2 = 0. Calculate n.
-4, -1, 1
Let i = -62457/85034 - 2/2501. Let h = 319/306 - i. Factor 4/3*x**2 + 4/9*x**4 + h*x - 16/9 - 16/9*x**3.
4*(x - 2)**2*(x - 1)*(x + 1)/9
Let c be ((3 + -3)/(-2))/(-17 - -23). Let b(j) be the second derivative of -26*j - 11/4*j**4 - 3/10*j**5 - 6*j**3 + 27/2*j**2 + c. Factor b(n).
-3*(n + 3)**2*(2*n - 1)
Factor 994242 + 5*v**2 + 3445*v + 24453282 + 15427*v - 1423204 + 3048*v.
5*(v + 2192)**2
Let a(x) be the third derivative of -x**8/1680 - 67*x**7/1050 + 47*x**6/200 + 199*x**5/300 - 137*x**4/30 + 46*x**3/5 - 584*x**2. Suppose a(n) = 0. What is n?
-69, -2, 1, 2
Let h(m) be the first derivative of m**4/18 + 680*m**3/27 + 3173*m**2 - 12996*m + 8454. Factor h(t).
2*(t - 2)*(t + 171)**2/9
Let q(w) be the second derivative of w**5/60 + 11*w**4/6 - 2*w**3/9 - 44*w**2 + 3154*w + 2. Solve q(n) = 0.
-66, -2, 2
Let 1/6*p**5 - 16/3*p**2 + 1/3*p**3 + 0 + 4/3*p**4 + 7/2*p = 0. What is p?
-7, -3, 0, 1
Suppose -5*v - 45 = 0, 0 = 2*u + 143*v - 148*v - 49. Let l(o) be the first derivative of 0*o - 28 + 2/27*o**3 + 0*o**u - 1/18*o**4. Factor l(i).
-2*i**2*(i - 1)/9
Let x(o) be the first derivative of 2/15*o**3 + 0*o - 38 + 3/5*o**2. Factor x(q).
2*q*(q + 3)/5
Let r(x) = 6*x**4 - 15*x**3 + 15*x**2 + 3*x. Let z = 90 - 93. Let o(w) = 7*w**4 - 14*w**3 + 15*w**2 + 4*w. Let d(k) = z*o(k) + 4*r(k). Factor d(m).
3*m**2*(m - 5)*(m - 1)
Determine w, given that 142/3*w**3 + 32256*w - 2208*w**2 + 73728 - 1/3*w**4 = 0.
-2, 48
Solve -334*s**4 + 208*s**3 - 1006*s**2 + 454*s**4 - 126*s**4 + 580*s = 0 for s.
0, 2/3, 5, 29
Let u = 2407 + -1456. Solve 966*k**4 + 20*k - k**2 + k**2 - u*k**4 - 35*k**3 = 0.
-2/3, 0, 1, 2
Find c such that 110 - 445*c - 69*c**2 + 25*c**3 + 159*c**2 - 331*c**2 - 289*c**2 = 0.
-1, 1/5, 22
Let g(v) = -120*v**2 - 90*v - 25. Suppose 64*b - 58*b - 18 = 0. Let n(j) = -15*j**2 - 11*j - 3. Let m(u) = b*g(u) - 25*n(u). Factor m(t).
5*t*(3*t + 1)
Solve -9 - 117649/4*s**2 - 1029*s = 0.
-6/343
Let y(q) be the first derivative of -q**3/36 - 133*q**2/24 + 45*q/2 + 820. Factor y(n).
-(n - 2)*(n + 135)/12
Suppose 63 = 6*d - 99. Let u(r) = r - 27. Let i be u(d). Factor i*m + 1/4*m**2 - 1/4.
(m - 1)*(m + 1)/4
Let m(f) be the second derivative of f**6/90 + 5*f**5/6 + 757*f**4/36 + 550*f**3/3 + 726*f**2 + 2813*f. Factor m(c).
(c + 3)**2*(c + 22)**2/3
Let r(a) be the second derivative of -4 - a + 0*a**2 - 7/66*a**4 - 2/11*a**3. Factor r(u).
-2*u*(7*u + 6)/11
Factor -239/3*u + 482/3 - 1/3*u**2.
-(u - 2)*(u 