2. Let g be m(-6). Let x be ((-8)/(-10))/2 - g/30. Suppose -125 - 15*n**x - n**3 - 43*n - 24*n - 10*n + 2*n = 0. Calculate n.
-5
Let d(y) = 281*y**2 - 1227*y + 1210. Let c(p) = 51*p**2 - 245*p + 242. Let m(v) = 11*c(v) - 2*d(v). Let m(s) = 0. What is s?
-242, 1
Suppose 0 = 33*g + 27*g - 720. Let d be (g - (-24)/8)/1. Let -d*c - 51/4*c**2 - 3 - 3*c**3 = 0. What is c?
-2, -1/4
Let l(j) be the second derivative of j**4/4 + 70*j**3/3 - 47*j**2/2 - 2*j + 46. Let f be l(-47). Find d, given that 2/5*d**2 + 0 - 2/5*d**3 + f*d = 0.
0, 1
Solve -15638/3*c**2 + 8912/3*c - 424 + 98/3*c**3 = 0 for c.
2/7, 159
Let m be ((-9523)/(-623))/((-24)/14) + 9. Let p(l) be the second derivative of -2/3*l**3 + 2*l**2 + 0 + m*l**4 - 30*l. Factor p(f).
(f - 2)**2
Let l = 1321455 - 7928321/6. Suppose -l*h**2 + 1/6*h**5 + 220*h - 25/6*h**3 - 150 + 13/6*h**4 = 0. What is h?
-10, 1, 3
Let l = 59 - 54. Suppose 0*q + l*q = 10. Factor 9*z**4 + 6*z**2 + 5*z**2 - 8*z**q - 3*z**5 - 9*z**3.
-3*z**2*(z - 1)**3
Let v(n) be the second derivative of 0*n**2 - 1/20*n**5 + 20*n - 5/48*n**4 - 1/12*n**3 + 0 - 1/120*n**6. Solve v(f) = 0 for f.
-2, -1, 0
Suppose 342*n**4 - 79210 - n**5 - 13372*n**3 - 106988*n**2 - 91579*n - 13274*n + 7261*n - n**5 - 74890*n = 0. What is n?
-5, -1, 89
Let k be (-305)/366*120/(-50). Factor 1/4*t**k + 676 - 26*t.
(t - 52)**2/4
Let -392*b + 2/3*b**4 + 552 - 458/3*b**2 - 8*b**3 = 0. What is b?
-6, 1, 23
Suppose -219*p + 215*p + 20 = 0. Let f be p*(6 + 196/(-35)). Factor 1/2*x + 5/2*x**2 + 0 + f*x**3.
x*(x + 1)*(4*x + 1)/2
Let m(i) be the second derivative of 8*i**5/45 - 20*i**4/27 - 527*i**3/27 + 578*i**2/3 - 6*i - 111. Let m(z) = 0. What is z?
-6, 17/4
Let n(i) be the second derivative of 3*i**5/80 + 19*i**4/16 + 2*i**3 - 27*i**2/2 + 2*i + 2622. Factor n(g).
3*(g - 1)*(g + 2)*(g + 18)/4
Let i(s) be the third derivative of 0*s + 121/2*s**4 - 28*s**2 + 0 + 1/30*s**6 - 11/5*s**5 - 2662/3*s**3. Find t such that i(t) = 0.
11
Let u = 10861/906 - 97/302. Solve -5/3*h**3 + u*h**2 + 40/3*h + 0 = 0 for h.
-1, 0, 8
Let k = -8110/21 + -2150/7. Let g = -684 - k. Suppose -7*r + 22/3*r**4 + r**5 + 50/3*r**3 + g*r**2 - 6 = 0. Calculate r.
-3, -1, 2/3
Solve 20*i**5 - 670571*i**2 + 69664*i**3 + 78608 + 58302*i + 52674*i + 86317*i**4 - 88360*i**4 - 125709*i**2 = 0.
-1/4, 2/5, 34
Let u(w) be the second derivative of -5 - 7/108*w**4 + 7/18*w**2 - 1/180*w**5 - 5*w + 1/54*w**3. Solve u(y) = 0 for y.
-7, -1, 1
Let o be ((-2)/2)/(51/27 + -2). Find h, given that 6*h**2 + 22*h**2 - o*h**2 - 10*h - 4*h**2 = 0.
0, 2/3
Let s = -733/15 + 11776/105. Let w = s + -1765/28. Solve -3/4*c + 0 + w*c**2 = 0 for c.
0, 3
Suppose -2*r + 5*r - 12 = 0. Suppose -r*p + 12 = 4*n, -2*p = 4*n - 14 - 2. Factor 84*h**5 + 91*h**n - 5*h - 180*h**5 + 6*h**3 + 4*h**3.
-5*h*(h - 1)**2*(h + 1)**2
Let k(v) be the second derivative of 43*v + 2 - 10/3*v**2 - 1/9*v**4 + 4/3*v**3. Factor k(y).
-4*(y - 5)*(y - 1)/3
Let a(j) be the third derivative of 99*j**5/20 - 97*j**4/96 - j**3/24 + 4762*j**2. Factor a(u).
(11*u - 1)*(108*u + 1)/4
Factor -29384*n + 3423*n**2 + 315*n**3 + 4002*n**2 - 15991*n + 3*n**4.
3*n*(n - 5)*(n + 55)**2
Let s be 24/52*12181/22488. Suppose -20 - 14*l - s*l**3 - 13/4*l**2 = 0. Calculate l.
-5, -4
Let w(t) be the second derivative of -t**4/3 - 118*t**3/3 - 116*t**2 + 8260*t. Factor w(f).
-4*(f + 1)*(f + 58)
Solve 7319*c - 10*c**3 - 6791*c + 11*c**2 - 216 + 14*c**2 + 9*c**2 = 0.
-6, 2/5, 9
Let u be 15/(-6) + 147/14. Suppose -2*r + u = 4. Find x such that 0 - 2/5*x**r - 4/5*x = 0.
-2, 0
Solve -17*z**4 - 4*z**5 - 3724*z - 2856*z**2 - 7*z**4 + 832*z**3 + 16*z**3 = 0.
-19, -1, 0, 7
Factor -5480*q - 5710*q + 5*q**2 + 13540*q + 2345.
5*(q + 1)*(q + 469)
Let h(x) = x**3 + 9*x**2 + 632*x + 7196. Let l be h(-11). Let 1/2*u**l - 2*u + 2 = 0. Calculate u.
2
Let u(j) be the third derivative of -j**5/330 - 41*j**4/44 + 1298*j**2. Let u(a) = 0. Calculate a.
-123, 0
Let z = 2197/276 + -671/92. Let n(s) = -5*s - 3. Let x be n(-7). Let z*m**3 + x*m - 8*m**2 - 128/3 = 0. Calculate m.
4
Suppose -3*k = 4*d - 66, 45 = -15*k - 55*d + 60*d. Factor 36/5*f - 2/5*f**k + 0.
-2*f*(f - 18)/5
Factor 0 + 2/9*w**3 - 2/9*w**4 + 0*w + 0*w**2.
-2*w**3*(w - 1)/9
Let x = -33564 - -33567. Factor -1940/13*j**2 + 2/13*j**5 + 70/13*j**4 - 722/13 + 2090/13*j + 500/13*j**x.
2*(j - 1)**3*(j + 19)**2/13
Let w(x) be the third derivative of -x**5/15 + 2*x**4/3 + 176*x**2. What is h in w(h) = 0?
0, 4
Let a = 477586/45 + -10613. Let l(m) be the second derivative of 1/30*m**5 - 8*m + 0*m**2 - 1/9*m**3 - 1/18*m**4 + a*m**6 + 0. Solve l(j) = 0 for j.
-1, 0, 1
Let u(d) be the first derivative of 5*d**4/4 + 230*d**3/3 - 1025*d**2/2 - 1250*d + 2111. Factor u(v).
5*(v - 5)*(v + 1)*(v + 50)
Let a(w) be the second derivative of -w**8/13440 + w**7/1260 + w**6/288 - 13*w**4/12 - w**2/2 - 11*w. Let x(f) be the third derivative of a(f). Factor x(r).
-r*(r - 5)*(r + 1)/2
Let c(p) be the second derivative of -p**4/60 - 32*p**3/5 - 4608*p**2/5 - 2850*p. Factor c(x).
-(x + 96)**2/5
Let f(h) = h**2 + h. Let r(v) = -57*v. Let a = 285 + -284. Let s(l) = a*r(l) + 3*f(l). Factor s(k).
3*k*(k - 18)
Let h = -853 + 1573. Let y be h/(-864) + (-133)/(-30). Suppose 0 - 66/5*w**4 - 6*w**2 - y*w**5 - 4/5*w - 74/5*w**3 = 0. What is w?
-2, -1, -1/3, 0
Let -208/5*l**3 + 6/5*l**2 - 8/5*l**4 + 52/5 + 158/5*l = 0. What is l?
-26, -1/2, 1
Let c(g) be the second derivative of g**4/12 + 557*g**3 + 2792241*g**2/2 + 55*g - 25. Solve c(b) = 0.
-1671
Factor -452*w**2 - 15 - 926*w + 4*w**3 - 1 + 306*w + 148*w**3.
4*(w - 4)*(w + 1)*(38*w + 1)
Let z(l) = -23*l - 25. Let w be z(-2). Factor -63 - w*p**2 + 23*p + 12*p**2 + 12*p**2 + 37*p.
3*(p - 1)*(p + 21)
Let y be -8 + ((-78)/(-6) - 5). Let b(l) be the first derivative of -1/5*l**2 + 2/15*l**3 - 8 + y*l. Determine p, given that b(p) = 0.
0, 1
Let d(o) be the first derivative of -o**6/3 + 6*o**5/5 + 9*o**4/2 + 10*o**3/3 + 323. Factor d(n).
-2*n**2*(n - 5)*(n + 1)**2
Let q(r) be the first derivative of -2048*r**3 + 1216*r**2 - 722*r/3 - 3769. Suppose q(z) = 0. Calculate z.
19/96
Find k, given that 1236*k - 561*k**4 + 247 + 593 - 567*k**4 + 594*k**2 + 87*k**3 + 1125*k**4 = 0.
-2, 35
Let c be (-222)/(-18) - 3*(-2)/(-18). Suppose -3*u + s - c = -2*s, 0 = 5*u - 3*s + 12. Factor u + 4/3*l**2 - 4/3*l**4 + 0*l + 0*l**3.
-4*l**2*(l - 1)*(l + 1)/3
Let s be ((-7)/(-63))/(((-10)/(-12))/5). Let f(l) be the second derivative of 1/10*l**5 + 0 - 1/15*l**6 + 0*l**2 + s*l**4 - 13*l - 4/3*l**3. Solve f(j) = 0.
-2, 0, 1, 2
Let j = 369 - 367. Suppose -490*n - 10738 - 215*n**2 - 552*n**j + 18*n**3 + 10656 + 41*n**2 = 0. What is n?
-1/3, 41
Let g(s) be the first derivative of 3/4*s**2 + s**3 - 245 - 3/8*s**4 - 3*s. Find n, given that g(n) = 0.
-1, 1, 2
Let g(z) be the third derivative of 0 - 12*z - 1/15*z**4 + 1/150*z**5 + 0*z**3 + 4*z**2. Let g(u) = 0. What is u?
0, 4
Let a(y) be the first derivative of y**4/6 + 976*y**3/9 + 973*y**2/3 + 324*y + 92. Factor a(p).
2*(p + 1)**2*(p + 486)/3
Let b(o) be the third derivative of o**6/600 - 7*o**5/200 - o**4/5 + 49*o**3/2 + 37*o**2 - 2. Let s(m) be the first derivative of b(m). Factor s(g).
3*(g - 8)*(g + 1)/5
Let h be (-18)/4*((-175)/45 + 3). Suppose h*x - a - 16 = a, -4 = 2*a. Determine m, given that 0*m + 0 + m**4 + 4/3*m**x - 4/3*m**2 = 0.
-2, 0, 2/3
Let m be 12/(-342) - (-28)/798. Let d(k) be the second derivative of m - 13*k - 1/5*k**2 - 7/30*k**3 + 1/15*k**4. Factor d(f).
(f - 2)*(4*f + 1)/5
Let r = -7382/365 - -1564/73. Suppose 0*z + 3/5*z**5 - r*z**4 - 3*z**3 + 0 + 18/5*z**2 = 0. Calculate z.
-2, 0, 1, 3
Suppose 4*u = -3*r + 19, -u + 53 - 44 = 5*r. Let m(v) be the first derivative of 75/4*v**u - 5*v**3 - 12*v - 24*v**2 - 14. Find w such that m(w) = 0.
-2/5, 1
Let c(k) be the second derivative of k**5/4 - 25*k**4/12 - 65*k**3/6 - 35*k**2/2 + 2895*k. Factor c(q).
5*(q - 7)*(q + 1)**2
Let u(p) = 177*p**4 + 403*p**3 - 628*p**2 - 30*p. Let s(t) = -71*t**4 - 161*t**3 + 250*t**2 + 12*t. Let f(z) = -13*s(z) - 5*u(z). Suppose f(l) = 0. What is l?
-3, -1/19, 0, 1
Suppose 2*q - 4*c - 2 = -0, 0 = c - 2. Suppose -j - 142 = -q*z, -3*z - 2*j = j - 96. What is a in -3*a**2 + 9 + 41*a - 14*a**3 + 3 - 7*a - z*a**2 = 0?
-3, -2/7, 1
Let r(w) = -22*w**4 + 50*w**3 - 154*w**2 + 186*w - 6. Let o(v) = 3*v**4 - v**3 - v**2 + v + 1. Let a(f) 