2.
-4*(w - 2)*(w + 560)
Let l(r) be the third derivative of 2*r**7/315 + 2279*r**6/90 + 192533*r**5/5 + 48966885*r**4/2 + 194331324*r**3 - 6*r**2 + 34*r. Factor l(k).
4*(k + 2)*(k + 759)**3/3
Factor -381/4*j**4 + 221892*j + 3/4*j**5 - 206763 + 16617/4*j**3 - 268755/4*j**2.
3*(j - 41)**3*(j - 2)**2/4
Let f be (-78)/104 + (-419)/(-556). Let o = 1109/834 + f. Let o*t**3 + 288 + 144*t + 24*t**2 = 0. Calculate t.
-6
Let h(p) be the second derivative of 6 + 1/130*p**5 + 0*p**2 - 2/39*p**3 - 1/78*p**4 - 2*p. What is f in h(f) = 0?
-1, 0, 2
Let u(c) be the first derivative of 0*c + 0*c**2 - 1/66*c**6 + 123 + 0*c**3 + 0*c**4 - 2/55*c**5. Factor u(p).
-p**4*(p + 2)/11
Let y(b) be the second derivative of 3*b**5/2 + 325*b**4/12 - 485*b**3/6 - 390*b**2 + b + 1352. Factor y(m).
5*(m + 1)*(m + 12)*(6*m - 13)
Let l(a) = -35*a**3 - 7*a**2 + 38*a + 4. Suppose -1 + 16 = -5*w. Let v(t) = -420*t**3 - 85*t**2 + 455*t + 50. Let h(r) = w*v(r) + 35*l(r). Factor h(m).
5*(m - 1)*(m + 1)*(7*m + 2)
Let q(m) be the third derivative of 1/2688*m**8 + 0 + 3/64*m**4 + 1/30*m**5 + 1/24*m**3 + 1/280*m**7 + 59*m**2 + 7/480*m**6 + 0*m. Suppose q(f) = 0. What is f?
-2, -1
Let j(w) be the second derivative of -2*w**6/15 - 2*w**5 + 44*w**4/3 + 176*w**3 + 576*w**2 + 8852*w. Find t, given that j(t) = 0.
-12, -2, 6
Let r(i) be the third derivative of i**7/70 + 3*i**6/40 - 5*i**5/4 + 21*i**4/8 + 8024*i**2. What is b in r(b) = 0?
-7, 0, 1, 3
Let n(p) be the first derivative of p**4/2 - 16*p**3/3 - 5*p**2 + 168*p + 8854. Factor n(u).
2*(u - 7)*(u - 4)*(u + 3)
Let p be (3/6)/(3/162). Suppose 4*s + 0*s = 8. Factor -25*v**2 - p*v**s + 47*v**2.
-5*v**2
Let v(p) be the third derivative of 5/336*p**8 - 5/12*p**6 + 0 + 1/42*p**7 + 0*p + 0*p**3 + 2/3*p**5 - 65*p**2 + 0*p**4. Find z, given that v(z) = 0.
-4, 0, 1, 2
Let j = -97026 - -97028. Factor j*f**2 - 5/2*f + 1/2.
(f - 1)*(4*f - 1)/2
Let q(i) = -16*i**2 + 4027*i - 35. Let a(o) = 54*o**2 - 14095*o + 119. Let n(d) = 5*a(d) + 17*q(d). Factor n(b).
-2*b*(b + 1008)
Factor 1/5*p**2 + 4205 - 58*p.
(p - 145)**2/5
Suppose 40*d = 35*d + 820. Suppose -74*y = 8*y - d. Factor -128/5 + 32/5*j - 2/5*j**y.
-2*(j - 8)**2/5
Let i be -2 + 15/(120/(-64)). Let f be (i/12)/((-75)/12). Factor 2/15*w**2 + f*w - 4/15.
2*(w - 1)*(w + 2)/15
Let r(h) be the first derivative of -h**6/15 + 368*h**5/25 - 1765*h**4/2 + 66604*h**3/15 - 8172*h**2 + 6480*h + 6719. Solve r(w) = 0 for w.
1, 2, 90
Let -22781250/7 - 1350/7*b**2 - 2/7*b**3 - 303750/7*b = 0. What is b?
-225
Let r(m) be the second derivative of m**4/3 + 28*m**3/3 + 80*m**2 + 2*m + 145. Factor r(b).
4*(b + 4)*(b + 10)
Let h(m) be the third derivative of 0*m**5 + 13/60*m**6 - 56*m**2 + 0*m**4 + 0*m**3 + 0 - 1/105*m**7 + 0*m. Suppose h(r) = 0. What is r?
0, 13
Solve 40*w + 1493*w**5 + 87*w**4 + 1478*w**5 + 21*w**4 - 20*w**3 - 108*w**2 - 2991*w**5 = 0.
-1, 0, 2/5, 1, 5
Let a(c) be the third derivative of 1/204*c**6 - 7/255*c**5 + 0 + 0*c**3 + 143*c**2 + 3/68*c**4 + 0*c. Factor a(q).
2*q*(q - 1)*(5*q - 9)/17
Factor -8/5*l**4 + 0*l + 2/5*l**5 + 2*l**3 + 0 - 4/5*l**2.
2*l**2*(l - 2)*(l - 1)**2/5
Let l be -3 - ((-7 - 1) + -2 + 3). Let -33*f**3 + 3*f**l + 61 + 59 - 1343*f - 26*f**2 + 1139*f + 152*f**2 = 0. What is f?
2, 5
Let w(h) = -3*h**4 + 10*h**3 - 72*h**2 + 136*h - 98. Let t(a) = -4*a**4 + 8*a**3 - 74*a**2 + 136*a - 99. Let x(q) = -2*t(q) + 3*w(q). Factor x(i).
-(i - 6)*(i - 4)*(i - 2)**2
Determine c so that 74/3*c**2 + 2*c**3 - 80/3*c + 0 = 0.
-40/3, 0, 1
Let i(n) be the second derivative of -1/60*n**6 - 155/12*n**3 - 143*n - 49/40*n**5 + 0 + 13*n**2 + 51/8*n**4. Determine d so that i(d) = 0.
-52, 1
Let x(o) be the second derivative of 3*o**5/80 + 157*o**4/16 + 229*o**3/4 - 231*o**2 - 2*o + 715. Suppose x(j) = 0. Calculate j.
-154, -4, 1
Suppose 0 = -5*f + 6 - 6. Suppose 8*x - 5 - 11 = f. Factor -12*p**x - 8 + 0*p**2 + 2*p + 10*p + 2*p**3 + 6*p.
2*(p - 4)*(p - 1)**2
Let i(x) be the third derivative of 11*x**8/504 + x**7/63 - 11*x**6/180 - x**5/18 - 100*x**2 + 2*x. Solve i(q) = 0 for q.
-1, -5/11, 0, 1
Let s be 8/6 - (-84)/(-63). Suppose -3*z - 35*z + 76 = s. Suppose 50/9 + 2/9*w**z + 20/9*w = 0. Calculate w.
-5
Factor -49*t**2 - 56 + 423*t - 2*t**3 - 321*t + 70*t**2.
-(t - 14)*(t + 4)*(2*t - 1)
Let d(s) be the third derivative of -s**7/210 - s**6/12 - 7*s**5/20 + 5*s**4/3 + 50*s**3/3 + 2*s**2 + 121. Factor d(k).
-(k - 2)*(k + 2)*(k + 5)**2
Let x(q) = -2*q**3 - 198*q**2 + 580*q + 88. Let p(n) = 2*n**2 + 2*n - 22. Let z(m) = -4*p(m) - x(m). Factor z(b).
2*b*(b - 3)*(b + 98)
Let j(t) = 4*t**2 - 34*t - 12. Let k(x) = -5*x**2 + 46*x + 16. Let n(r) = 4*j(r) + 3*k(r). Factor n(o).
o*(o + 2)
Factor 2/7*y**3 - 626/7*y**2 + 48670/7*y + 49298/7.
2*(y - 157)**2*(y + 1)/7
Suppose 200*g**2 + 35*g**3 + 689*g - 1447*g + 698*g = 0. What is g?
-6, 0, 2/7
Let b(r) = -23*r**3 + 11*r**2 - 73*r. Suppose -33 = 5*n + 32. Let d(i) = 11*i**3 - 7*i**2 + 36*i. Let w(g) = n*d(g) - 6*b(g). Determine x, given that w(x) = 0.
0, 2, 3
Let u = 100 - 140. Let s(b) be the second derivative of -b**4/12 + b**2/2 - 36*b + 6. Let a(q) = q**3 + 8*q**2 - 8. Let o(i) = u*s(i) - 5*a(i). Factor o(d).
-5*d**3
Let k(d) be the third derivative of 8*d**7/35 + d**6/6 - d**4/12 - d**3/3 - 3*d**2 - 11. Let x(a) = -a**4 - a**2 - a - 1. Let s(r) = k(r) - 2*x(r). Factor s(z).
2*z**2*(5*z + 1)**2
Let b(p) = 4*p**4 + p**3 + 2*p**2 + p + 1. Let s(k) = -13*k**4 - 2*k**3 + 16*k**2 - 2*k - 2. Let v(o) = 2*b(o) + s(o). Factor v(c).
-5*c**2*(c - 2)*(c + 2)
Factor -8664*c**4 + 0 + 910/3*c**2 + 4/3*c + 17176*c**3.
-2*c*(c - 2)*(114*c + 1)**2/3
Suppose -101*v - 802 + 2721 = 0. Let g(m) be the first derivative of -1/2*m**2 - v + 0*m - 1/6*m**3. Factor g(h).
-h*(h + 2)/2
Let i(d) be the third derivative of d**5/180 + 23*d**4/144 + 5*d**3/6 - d**2 - 382*d. Factor i(l).
(l + 10)*(2*l + 3)/6
Let h = 837/35 + -827/35. Factor 0 - h*f**3 + 2/7*f + 0*f**2.
-2*f*(f - 1)*(f + 1)/7
Let x(k) be the second derivative of -64 + 2*k**2 - 2*k + 25/12*k**4 + 7/30*k**6 - 1/42*k**7 - 8/3*k**3 - 19/20*k**5. Factor x(m).
-(m - 2)**2*(m - 1)**3
Let w(o) be the third derivative of 0*o + 1/12*o**6 + 0*o**3 - 78*o**2 - 4/15*o**5 - 1/105*o**7 + 1/3*o**4 + 0. Factor w(z).
-2*z*(z - 2)**2*(z - 1)
Let z(k) be the second derivative of 229*k + 0*k**2 + 37/5*k**5 + 0 - 3*k**6 - 2*k**4 + 0*k**3 + 11/42*k**7. Solve z(l) = 0 for l.
0, 2/11, 2, 6
Let c(g) be the third derivative of 115*g**2 + 2*g**6 - 5/14*g**7 + 0*g - 8*g**4 - 8*g**3 - 6/5*g**5 + 0. Factor c(l).
-3*(l - 2)**2*(5*l + 2)**2
Let a(s) be the second derivative of 15/2*s**2 + 0 + 9/20*s**5 + 18*s - s**3 + 7/8*s**4. Let k(p) be the first derivative of a(p). Factor k(y).
3*(y + 1)*(9*y - 2)
Let f(p) be the third derivative of p**8/140 - 136*p**7/525 + 31*p**6/150 + 98*p**5/25 - 86*p**4/15 - 176*p**3/15 + 587*p**2. Find w, given that f(w) = 0.
-2, -1/3, 1, 2, 22
Let u(a) = -13*a**2 - 127*a. Let i(s) = -30*s**2 - 255*s. Let k(q) = -2*i(q) + 5*u(q). Find j, given that k(j) = 0.
-25, 0
Suppose s + 7 + 46 = 4*w, -3*w + 2*s + 36 = 0. Factor 0*g + 2914*g**3 - 4 - 16*g**2 - w*g - 2920*g**3.
-2*(g + 1)**2*(3*g + 2)
Let i = -1501/2 + 753. Let n(a) be the second derivative of 0 - i*a**2 - 5/4*a**4 - 1/4*a**5 - 5/2*a**3 + 12*a. Factor n(c).
-5*(c + 1)**3
Let m be (-1)/5 + (-149)/5. Let g = 36 + m. Find y, given that 10*y + g*y - 3*y**2 - y**2 = 0.
0, 4
Let q(c) = -c**3 + 4*c**2 - 36*c + 403. Let t be q(7). Let y(p) be the first derivative of 23 - 2/15*p**5 - 2*p**3 + p**t + 0*p**2 + 0*p. Factor y(f).
-2*f**2*(f - 3)**2/3
Let h = -683/344 - -2231/344. Let -h - 21/4*g - 5/4*g**2 = 0. What is g?
-3, -6/5
Factor 2304/7 + 288/7*n + 0*n**2 - 2/21*n**3.
-2*(n - 24)*(n + 12)**2/21
Suppose -2*o - 7*m = -4*m - 10, 5*o = -4*m + 18. Let r be 480/(-280)*(-14)/4. Factor -15/4*f**o - 3 + r*f + 3/4*f**3.
3*(f - 2)**2*(f - 1)/4
Suppose 3*c - 395 = -2*m, -5*c + 504 = -c - 3*m. Let d = c - 899/7. Factor 10/7*z + d + 2/7*z**3 + 8/7*z**2.
2*(z + 1)**2*(z + 2)/7
Find v, given that 3*v**3 - 285962*v**2 + 286016*v**2 - 2*v**3 = 0.
-54, 0
Let u(i) = i**3 + 240*i**2 + 4*i + 4. Let q(l) = -2*l**3 - 479*l**2 - 7*l - 7. Let s(h) = 4*q(h) + 7*u(h). Find a, given that s(a) = 0.
-236, 0
Let z(o) be the first derivative of o**6/3 + 4*o**5 + 29*o**4/2 + 40*o**3/3 + 10421. Factor z(u).
2*u**2*(u + 1)*(u 