n). Factor l(a).
-3*(a - 2)*(a + 1)*(a + 37)
Let n(g) = -2*g**3 - 8*g**2 - g - 1. Let m(x) = 2*x**4 - 44*x**3 + 140*x**2 + 767*x + 575. Let j(q) = -2*m(q) + 2*n(q). Find t, given that j(t) = 0.
-2, -1, 12
Let g(t) = -2*t**4 + 2*t**3 + 79*t**2 - 378*t + 487. Let k(o) = -o**4 + o**3 + 39*o**2 - 189*o + 246. Let j(v) = -6*g(v) + 11*k(v). Factor j(i).
(i - 3)**3*(i + 8)
Let o be -13*(-54)/(-1287)*-11. Let m(x) be the first derivative of 75*x**2 + 6*x**5 - 1/3*x**o - 23 - 37*x**4 - 250*x + 220/3*x**3. Solve m(h) = 0.
-1, 1, 5
Let x be 468 + -465 + 119/15 + -2. Let t(a) be the first derivative of 8/5*a + x*a**3 + 4/5*a**5 + 6*a**2 + 93/20*a**4 - 49. Solve t(j) = 0 for j.
-2, -2/5, -1/4
Let h(f) be the second derivative of f**7/14 + 129*f**6/2 - 1944*f**5/5 + 649*f**4 + 9*f + 440. Factor h(t).
3*t**2*(t - 2)**2*(t + 649)
Let z(p) be the first derivative of p**6/54 - 26*p**5/15 + 371*p**4/36 - 434*p**3/27 - 50*p**2/3 + 584*p/9 - 2931. Solve z(b) = 0.
-1, 2, 73
Let v = 155 - 111. Solve 32 - 55*f - v*f**3 + 39*f**3 - 2 + 30*f**2 = 0 for f.
1, 2, 3
Let u = 156 + -11. Factor -u*t - 30*t**2 + 716 + 751 - 1442.
-5*(t + 5)*(6*t - 1)
Let a(b) be the first derivative of b**6/3 + 2*b**5/5 - 13*b**4/2 - 50*b**3/3 - 12*b**2 - 4028. Let a(m) = 0. Calculate m.
-3, -1, 0, 4
Let i(r) be the first derivative of r**3/6 + 75*r**2/4 + 142*r + 4027. Factor i(p).
(p + 4)*(p + 71)/2
Let l(w) be the first derivative of -w**5/5 + 45*w**4/2 - 704*w**3 + 1936*w**2 - 1317. Factor l(b).
-b*(b - 44)**2*(b - 2)
Let q = 567231 + -567229. Determine w so that 0 + 4/7*w**q + 2/7*w**5 - 2/7*w**3 - 4/7*w**4 + 0*w = 0.
-1, 0, 1, 2
Let d be (0 + 0/(-4))*(119/(-14))/(-17). Let c(b) be the third derivative of d + 1/5*b**5 + 1/180*b**6 + 3*b**4 + 24*b**3 + 0*b - 12*b**2. Factor c(x).
2*(x + 6)**3/3
Let k(g) = -8*g**3 - 11*g**2 - 8*g. Let j = -602 + 597. Suppose 0 = -2*r - 0 - 12. Let c(u) = 9*u**3 + 12*u**2 + 9*u. Let b(p) = j*c(p) + r*k(p). Factor b(y).
3*y*(y + 1)**2
Suppose 2*x + 704 - 718 = -2*c, -17 = -3*x + c. Factor -3/2*n**3 + 15/2*n + 0 + x*n**2.
-3*n*(n - 5)*(n + 1)/2
Let x(j) be the first derivative of 162*j**2 - 12*j**3 + 0*j - 77 + 1/4*j**4. Factor x(u).
u*(u - 18)**2
Let r(o) be the third derivative of o**6/660 - 41*o**5/165 + 411*o**4/44 - 1728*o**3/11 - o**2 - 3666*o. Factor r(s).
2*(s - 64)*(s - 9)**2/11
Let d(y) be the first derivative of -24/13*y**2 + 288/13*y + 2/39*y**3 - 71. Factor d(u).
2*(u - 12)**2/13
Let s = 69 - 72. Let a be (25/(-5) - -4)/(s/6). Solve 87*r**3 + a*r - 41*r**3 + r**2 - 48*r**3 - r**4 = 0 for r.
-2, -1, 0, 1
Let y(j) = 137*j + 274. Let m be y(-2). Let p(t) be the third derivative of -t**2 - 13/6*t**4 + 4/3*t**3 + 0*t + 11/15*t**5 + m. Factor p(b).
4*(b - 1)*(11*b - 2)
Let x(c) be the first derivative of c**4 - 8*c**3 + 18*c**2 + 232. Factor x(k).
4*k*(k - 3)**2
Factor -3/2*g**2 + 1/2*g**4 + 258 - 129*g**3 + 386*g.
(g - 258)*(g - 2)*(g + 1)**2/2
Let y be 4*((-6)/(-3) + (-3)/4). Suppose -i - 4*v - 2 = 0, -y*i - 3 = -3*v - 16. Factor -4*f**2 + f**i + 2*f**2 - f**3 - f**2.
-f**2*(f + 2)
Let g(b) be the second derivative of b**6/6 + 3*b**5/4 - 95*b**4/12 - 145*b**3/2 - 225*b**2 + 354*b - 2. Find n such that g(n) = 0.
-3, -2, 5
Let t(d) = -19 - 8*d + 9*d + 15*d + 18*d**2 + 9*d**2. Let u(s) = -25*s**2 - 15*s + 20. Let r(i) = 5*t(i) + 6*u(i). Determine b so that r(b) = 0.
-5/3, 1
Let a be (-123)/3 - 4*(-4)/(-16). Let v be (-26)/(-12) + 7/a. Factor u - u + 5*u - 5*u**v + 10*u.
-5*u*(u - 3)
Find s, given that 15*s - 490677*s**3 - 294*s + 90*s**2 + 490678*s**3 = 0.
-93, 0, 3
Let y(r) be the second derivative of 4*r**6/15 - r**5/15 - 11*r**4/9 + 2*r**3/9 + 10*r**2/3 + 486*r + 2. Determine c so that y(c) = 0.
-1, -5/6, 1
Let f = -1527123/17 - -89831. Suppose 2/17*j**2 + f - 6/17*j = 0. What is j?
1, 2
Let y be 4/(-2)*120/(-48). Suppose -y*i - 232 = -247. Solve 0 + s**i + 1/4*s**4 + 0*s + 0*s**2 = 0.
-4, 0
Factor 144/7 - 2/7*x**3 - 124/7*x + 30/7*x**2.
-2*(x - 9)*(x - 4)*(x - 2)/7
Find l such that -l**3 - 3877*l - l**3 + 2 + 3879*l - 2*l**2 + 0 = 0.
-1, 1
Suppose 34*x - 25 - 77 = 0. Factor 27*t + x*t**2 - 1005 + 15*t + 1044.
3*(t + 1)*(t + 13)
Solve 736/7 + 2/7*d**2 + 738/7*d = 0.
-368, -1
Find j such that -1/4*j**2 + 107/2*j - 11449/4 = 0.
107
Suppose 85 = -4*x + 101. Let f(d) be the second derivative of 0*d**3 + 0*d**x + 1/210*d**7 + 0*d**2 - 1/50*d**5 - 2*d - 1/150*d**6 + 0. Factor f(i).
i**3*(i - 2)*(i + 1)/5
Determine x so that 4963 + 3124 + x**4 + 85*x**3 - 9585*x - 2256 + 6319 + 1581*x**2 = 0.
-45, 2, 3
Let z(m) be the third derivative of m**6/120 - 53*m**5/30 - 109*m**4/8 + 29*m**2 + 91*m. Let z(i) = 0. What is i?
-3, 0, 109
Let v(c) = -c**4 + c**3 - c**2 - c. Let o(l) = -5*l**3 + 6*l + 9*l**4 + 16*l**4 - l**5 + 3 + 9*l**2 - 15*l**4. Let f(u) = -2*o(u) - 22*v(u). Factor f(r).
2*(r - 1)**3*(r + 1)*(r + 3)
Solve -136/3*c**2 - 250/3*c**5 - 140*c**3 - 16/3*c + 0 - 550/3*c**4 = 0 for c.
-1, -2/5, 0
Find w, given that -11/5*w**2 + 48/5 + 128/5*w = 0.
-4/11, 12
Let b(y) = 78*y**2 + 1918*y - 1921. Let z(n) = -218*n**2 - 5754*n + 5762. Let s(g) = 14*b(g) + 5*z(g). Factor s(p).
2*(p - 958)*(p - 1)
Let y(o) = o**3 - 24*o**2 + 4. Let a be y(24). Let u(h) be the first derivative of -2/3*h**3 + h**2 + a*h + 33. Let u(r) = 0. Calculate r.
-1, 2
Suppose -24 = 5*v - 11*v. Let s(d) = -d + 16. Let u be s(v). Factor -27*g + 6*g**3 - 2*g**3 - u*g**2 + 3*g**2 - 5*g**3 - 27.
-(g + 3)**3
Let z(c) = 2*c**2 - 25*c + 45. Let d be z(21). Find r such that -d*r**2 + 1117*r**2 - 386*r**2 + 42 - 377*r**2 - 9*r**3 + 111*r = 0.
-7, -1/3, 2
Let v(a) be the second derivative of -a**4/36 + 13*a**3/18 - 7*a**2 + 455*a + 3. Factor v(m).
-(m - 7)*(m - 6)/3
Let g(t) be the first derivative of 1/8*t**5 - 1/48*t**6 + 3/16*t**4 + 0*t**3 + 0*t**2 - 53 + 0*t. Factor g(s).
-s**3*(s - 6)*(s + 1)/8
Let q be ((-846)/(-243))/((-28)/525). Let l = q + 131/2. Factor 4/9 + l*h**3 - 10/9*h - 2/9*h**4 + 2/3*h**2.
-2*(h - 1)**3*(h + 2)/9
Let m(i) = i**3 + i - 4. Let w(v) = -43*v**3 + 174*v**2 + 175*v + 12. Let r(u) = -9*m(u) - w(u). Factor r(d).
2*(d - 6)*(d + 1)*(17*d - 2)
Let b(u) = -2*u**3 + 131*u**2 - 100*u + 2279. Let m be b(65). Factor 2/7*d**5 + 38/7*d**3 - 2*d**m + 32/7*d - 8/7 - 50/7*d**2.
2*(d - 2)**2*(d - 1)**3/7
Factor 5*c**4 + 209*c - 35*c**3 - 1102*c + 355*c**2 + 368*c - 40*c**3.
5*c*(c - 7)*(c - 5)*(c - 3)
Let u(p) be the first derivative of -p**4/22 - 178*p**3/33 - 1739*p**2/11 + 22090*p/11 + 5061. Factor u(m).
-2*(m - 5)*(m + 47)**2/11
Let a = 5299/32593 + 57/2963. Factor 0 + 10/11*p**2 - 8/11*p**3 + a*p**4 - 4/11*p.
2*p*(p - 2)*(p - 1)**2/11
Let q(z) = 15*z**3 - 121*z**2 - 32*z + 28. Let r(h) = h**3 - 14*h**2 + h + 2. Let s(i) = 3*q(i) - 24*r(i). Factor s(p).
3*(p - 3)*(p + 2)*(7*p - 2)
Let w(f) = -f**2 + 6*f - 5. Let x be w(4). Let j be 0 - (-8 - x/(3 - 0)). Factor j*p + 6 - 6*p**3 + 0 - 12*p - 15*p**2.
-3*(p + 1)*(p + 2)*(2*p - 1)
Let f(l) = -29*l**2 - 498*l + 391. Suppose -3007*h = -3015*h - 48. Let t(w) = 10*w**2 + 168*w - 130. Let g(o) = h*f(o) - 17*t(o). Solve g(y) = 0.
-34, 1
Let h(t) be the second derivative of -1/34*t**4 - 54*t + 4/17*t**2 - 1/85*t**5 + 0 + 1/255*t**6 + 4/51*t**3. Factor h(u).
2*(u - 2)**2*(u + 1)**2/17
Let x(g) be the second derivative of -7*g**5/15 - 67*g**4/3 - 640*g**3/9 + 72*g**2 + 7395*g. Let x(s) = 0. Calculate s.
-27, -2, 2/7
Factor 1/3*a**2 - 646/3 + 7*a.
(a - 17)*(a + 38)/3
Let t = -47149 + 47149. Solve 3/4*v**3 + 9/4*v**2 - 3/4*v - 9/4*v**4 + t = 0 for v.
-1, 0, 1/3, 1
Suppose 30 = 65*j - 55*j. Factor 27 - 28*k**j + 20*k**4 - 27 + 12*k**2 - 4*k**5.
-4*k**2*(k - 3)*(k - 1)**2
Let w = -431 + 519. Factor -724*o - 39 - 620*o**2 - 30 + 29 - w + 12*o - 36*o**3.
-4*(o + 1)*(o + 16)*(9*o + 2)
Let g(t) be the first derivative of t**4/18 + 40*t**3/27 + 44*t**2/3 + 64*t + 695. Factor g(l).
2*(l + 6)**2*(l + 8)/9
Suppose 34852*p = 34796*p + 168. Determine t, given that -7/2*t**p - 1/4*t**5 - 9/4*t**4 + 17/2*t**2 + 15/4*t - 25/4 = 0.
-5, -1, 1
Let m be -15*16/(-480)*4. Let r(h) be the first derivative of -1/10*h**6 - 19 + 3/5*h**4 - 6/25*h**5 + 2/5*h**3 - 9/10*h**m + 0*h. Let r(l) = 0. Calculate l.
-3, -1, 0, 1
Let v be 4/(-2) + (-161)/(-7). Let n be ((-2)/(-4))/((v/12)/7). What is o in -o + 16*o + 4*o**n + o**2 = 0?
-3, 0
Let w(d) be the second derivative of d**7/56 