3.
2*n**2*(n + 23)
Let b = -134 - -142. Suppose 2*a = 7*a - 55. Factor -b*m + 9*m + a*m + 14 - 2*m**2.
-2*(m - 7)*(m + 1)
Let r(i) be the second derivative of -i**7/105 + 13*i**6/75 - 9*i**5/25 - 16*i**4/3 - 128*i**3/15 - i - 834. Find t, given that r(t) = 0.
-2, -1, 0, 8
Let h(v) = -2*v**2 + 3*v + 37. Let x be h(5). Let p be (-3)/6*(-12)/x. Let 0 + 2/5*a**p + 1/5*a**4 - 1/5*a**2 - 2/5*a = 0. What is a?
-2, -1, 0, 1
Let d = 621 + -607. Let b(s) be the third derivative of d*s**2 + 0*s + 0*s**5 + 0*s**6 - 1/504*s**8 + 1/315*s**7 + 0*s**4 + 0 + 0*s**3. Solve b(o) = 0 for o.
0, 1
Suppose 4*m = 4, -1 = -3*v + 4*m + 4. Let n(d) = 8*d**2 + d - 51. Let t(c) = -6*c**2 + 54. Let p(s) = v*t(s) + 2*n(s). Factor p(x).
-2*(x - 6)*(x + 5)
Let p(w) = 4*w**3 - 27*w**2 + 15*w + 25. Let l(n) = -5*n**3 + 31*n**2 - 16*n - 24. Let c(s) = -3*l(s) - 4*p(s). Factor c(o).
-(o - 14)*(o - 2)*(o + 1)
Let l = -135824 + 679174/5. Factor 6*o**2 - l + 3/5*o**3 + 21/5*o.
3*(o - 1)*(o + 2)*(o + 9)/5
Let c(j) be the second derivative of j**10/6048 + j**9/432 + j**8/336 - j**7/42 - 3*j**4 - j**3/6 + 24*j. Let l(m) be the third derivative of c(m). Factor l(h).
5*h**2*(h - 1)*(h + 2)*(h + 6)
Let i(w) be the first derivative of 2*w**3/39 - 14*w**2 + 1274*w - 1023. Factor i(g).
2*(g - 91)**2/13
Let n(u) = -u**2 + 44*u - 484. Let f(k) = 5*k**2 - 220*k + 2420. Let y be (-5 - 0)/((-55)/(-22)). Let c(h) = y*f(h) - 11*n(h). What is j in c(j) = 0?
22
Suppose -24 - 11 = -7*q. Suppose q*s - 1442 - 1798 = 0. Factor -112*d**2 + 4*d + 1330*d**3 + 12*d - 1294*d**3 + s*d**4.
4*d*(2*d + 1)*(9*d - 2)**2
Factor 1304*w + 576*w + 2390*w - 5*w**2 + 386087 - 1297732.
-5*(w - 427)**2
Let w(s) be the first derivative of -s**3/27 - 53*s**2/9 + 3557. Solve w(g) = 0 for g.
-106, 0
Let g be (-120)/70*42/(-4). Factor 8*o**3 + 9*o**2 + 4*o**4 - g*o**4 + 2*o**2 + 15*o**4 - 20*o.
o*(o - 1)*(o + 4)*(o + 5)
Suppose -305*h + 360*h = -1119*h + 3522. Factor 1/9*b**h + 0 + 5/9*b**2 - 1/9*b**4 + 1/3*b.
-b*(b - 3)*(b + 1)**2/9
Let w = -22627/3 + 7543. Let f(y) be the second derivative of 0 - 36*y + 0*y**2 - w*y**3 - 1/4*y**4. Factor f(x).
-x*(3*x + 4)
Let w(d) = -d**3 - 765*d**2 + 1870*d. Let s(a) = -765*a**2 + 1950*a. Let o(u) = 4*s(u) - 5*w(u). Find c such that o(c) = 0.
-155, 0, 2
Let t(f) be the second derivative of f**6/105 - 3*f**5/35 - 6*f**4/7 - 40*f**3/21 + 10*f + 6. Factor t(l).
2*l*(l - 10)*(l + 2)**2/7
Let j be (34/(-42))/(397/(-2382)). Find a, given that -j*a**2 + 16/7*a**3 - 2/7 + 20/7*a = 0.
1/8, 1
Let t(p) be the second derivative of -7 - 2*p - 1/3*p**5 - 1/18*p**4 + 0*p**3 + 0*p**2. Let t(h) = 0. Calculate h.
-1/10, 0
Factor 69*k**2 - 13616100 + 78*k**2 - 315*k**2 + 14760*k + 83*k**2 + 81*k**2.
-4*(k - 1845)**2
Let u be 14 + (-1032)/72 - ((-109)/12 - 1). Let j(n) be the first derivative of -11/2*n**3 + u*n**2 - 3*n + 12. Factor j(c).
-3*(c - 1)*(11*c - 2)/2
Let v(x) = -x**2 - 11*x - 18. Suppose 5*w = -0 + 5, -5*w - 13 = 3*n. Let c be v(n). Factor -18*o - 3/4*o**4 - c + 9/2*o**3 - 3/4*o**2.
-3*(o - 4)**2*(o + 1)**2/4
Let r = -530947/4 - -132737. Find s, given that r*s**2 - 7/4 - 3/2*s = 0.
-1, 7
Let n(m) be the first derivative of -2*m**3/27 - 3*m**2 - 100*m/9 + 694. Factor n(c).
-2*(c + 2)*(c + 25)/9
Let o be -2532 - -2543 - 11/1. Factor o - 10/7*r - 1/7*r**2.
-r*(r + 10)/7
Let n(h) be the first derivative of 2209/2*h + 1/6*h**3 - 162 - 47/2*h**2. Factor n(i).
(i - 47)**2/2
Let y(r) be the first derivative of r**4/2 - 22*r**3/3 - r**2 + 22*r - 62. Find w, given that y(w) = 0.
-1, 1, 11
Solve 150*u**5 - 257581*u - 27*u**3 + 56*u**2 - 2*u**4 - 149*u**5 + 257661*u = 0 for u.
-5, -1, 0, 4
Suppose -7*i + 23 = -3*g, 10 = -4*i - 2*g + 12. Let c(u) be the second derivative of -1/34*u**4 - u - 2/51*u**3 + 0 + 0*u**i. Factor c(z).
-2*z*(3*z + 2)/17
Let o = -2054051/4 + 513514. Solve f - o + 1/4*f**2 = 0.
-5, 1
Suppose 0 = 8*b - r - 27, 73*b + 6 = 74*b - r. Let a(m) be the first derivative of 0*m - 31 - m**4 + 8/5*m**5 + 0*m**2 + 2/3*m**6 - 8/3*m**b. Solve a(z) = 0.
-2, -1, 0, 1
Factor 108 - 127*g + 110 + 84*g**2 + 102 + 107 - 417.
(7*g - 10)*(12*g - 1)
Let y(k) = -7*k**3 + 28*k**2 + 184*k + 182. Let w(q) = -6*q**3 + 30*q**2 + 182*q + 181. Let l(g) = -6*w(g) + 5*y(g). Factor l(m).
(m - 44)*(m + 2)**2
Suppose -4*i = 8*n + 20, 29 = 34*i - 31*i - 5*n. Let k(b) be the first derivative of 19 + 0*b + 16/27*b**i - 2/9*b**2. Find m, given that k(m) = 0.
0, 1/4
Let z(k) be the first derivative of 2*k**5/75 + 133*k**4/30 + 264*k**3 + 90992*k**2/15 + 170368*k/15 - 931. Factor z(f).
2*(f + 1)*(f + 44)**3/15
Let s(k) be the third derivative of -k**8/112 - k**7/5 - 6*k**6/5 + 11*k**5/10 + 161*k**4/8 - 60*k**3 + 189*k**2 - k + 1. Let s(x) = 0. Calculate x.
-8, -5, -3, 1
Find q such that 1772/15*q**2 + 2/15*q**4 - 728*q - 104/15*q**3 + 1470 = 0.
5, 21
Let -2/11*z**2 + 288/11*z - 26 = 0. Calculate z.
1, 143
Let r(f) = -2*f**3. Let l be (-2)/(-5) + (-15)/((-300)/(-88)). Let i(y) = -13*y**3 - 2*y**2 - 4*y + 8. Let t(x) = l*i(x) + 28*r(x). Factor t(z).
-4*(z - 2)**2*(z + 2)
Let u(j) be the first derivative of 24/7*j + 2/21*j**3 - j**2 - 96. Factor u(t).
2*(t - 4)*(t - 3)/7
Let t(v) be the first derivative of -147*v**5/40 + 371*v**4/8 - 50*v**3 + 21*v**2 + 51*v + 2. Let k(a) be the first derivative of t(a). Factor k(x).
-3*(x - 7)*(7*x - 2)**2/2
Let l(w) be the second derivative of 33275*w**7/21 + 14036*w**6/3 + 3696*w**5/5 + 664*w**4/15 + 16*w**3/15 + 2896*w. Solve l(g) = 0 for g.
-2, -2/55, 0
Factor 70/9*r**2 - 38/9*r**3 + 0 - 34/9*r + 2/9*r**4.
2*r*(r - 17)*(r - 1)**2/9
Let h be (-10 - -14)*(1207/(-51) + 24)*1/2. Factor 10/3*g**2 + 0 - h*g**3 + 4*g.
-2*g*(g - 6)*(g + 1)/3
Let v(r) be the second derivative of -2*r**6/25 - 56*r**5/25 - 278*r**4/15 - 96*r**3/5 + 162*r**2/5 - 3353*r. Solve v(d) = 0.
-9, -1, 1/3
Solve 6*w**3 - 39*w + 7*w**2 + 77*w**2 + 92*w - 8*w**3 + 123*w = 0 for w.
-2, 0, 44
Let p(s) be the first derivative of s**6/6 - 24*s**5/5 + 33*s**4/2 - 64*s**3/3 + 21*s**2/2 - 5631. Factor p(a).
a*(a - 21)*(a - 1)**3
Let w(k) be the first derivative of -k**9/1008 + k**8/140 - 3*k**7/280 + 6*k**3 - k**2 + 15. Let l(i) be the third derivative of w(i). Factor l(z).
-3*z**3*(z - 3)*(z - 1)
Let z(g) be the second derivative of -g**5/60 - 47*g**4/36 - 40*g**3 - 594*g**2 + 5*g + 54. Factor z(r).
-(r + 11)*(r + 18)**2/3
Let a(k) = -k**3 - k**2 - 1. Let w(g) be the second derivative of -7*g**5/20 - g**4/2 - g**3/6 - 5*g**2 + 3*g - 2. Let h(f) = -40*a(f) + 5*w(f). Factor h(t).
5*(t - 1)*(t + 1)*(t + 2)
Factor 154*r - 46*r + 3*r**4 + 71*r**3 + 142209*r**2 + 0*r**4 + 43*r**3 - 141990*r**2.
3*r*(r + 1)**2*(r + 36)
Suppose -5*q + 34 = -4*t - 62, 2*t + 48 = -3*q. Let g(d) = 4*d**2 + 25*d + 8. Let a(x) = -x. Let o(n) = t*a(n) + 3*g(n). Solve o(j) = 0.
-8, -1/4
Let p(x) be the first derivative of -3*x**2/2 - 57*x + 22. Let v be p(-27). Find y such that -6*y**3 - v*y**2 + 2*y**3 - y - 12*y - 7*y = 0.
-5, -1, 0
Let l(z) be the second derivative of -z**4/36 - 11*z**3/9 - 20*z**2/3 - 1150*z. Factor l(p).
-(p + 2)*(p + 20)/3
Let z(d) be the second derivative of 83*d**4/8 - 333*d**3/4 + 3*d**2 + 507*d - 10. Solve z(p) = 0 for p.
1/83, 4
Let d(n) be the first derivative of 0*n - 22/3*n**3 - 1/4*n**4 + 23/2*n**2 - 17. Factor d(c).
-c*(c - 1)*(c + 23)
Let b(i) = 2*i**2 + 12*i + 36. Let f(w) = -2*w**2 + w. Let d(j) = -5*j - 11. Let h be d(-2). Let v(x) = h*b(x) - 2*f(x). Factor v(q).
2*(q - 9)*(q + 2)
Let w = -28560 - -28560. Find k such that -9/4*k + w + 3/2*k**2 - 1/4*k**3 = 0.
0, 3
Suppose 22 = 2*p + 3*m, 2*p - p + 15 = 5*m. Let -313 - p*g**4 + 480*g + 0*g**4 - 7 - 165*g**2 - 95*g**2 + 60*g**3 = 0. What is g?
2, 4
Suppose -11*a = 3*j - 43, -4*j = -385*a + 389*a - 36. Factor 8/9*l + 0 + 0*l**a - 2/9*l**3.
-2*l*(l - 2)*(l + 2)/9
Let l(b) = 154*b - 6156. Let h be l(40). Factor 222/5*z**2 + 169/5 + 364/5*z + 1/5*z**h + 28/5*z**3.
(z + 1)**2*(z + 13)**2/5
Let f(j) be the first derivative of j**3/9 + 90*j**2 - 541*j/3 + 5627. Factor f(i).
(i - 1)*(i + 541)/3
Let o = -2/2579115 + 225268763/1719410. Let w = o + -773/6. Find l such that 10/11 + w*l**2 - 2/11*l**4 + 4/11*l**3 + 28/11*l = 0.
-1, 5
Suppose 0 = 15*a - 11*a - 12. Let l be 57/12 - (a + -8 - -9). Find u, given that -u**2 - l*u - 1/4*u**3 + 0 = 0.
-3, -1, 0
Let w(l) be the first derivative of l**6