 2)
Suppose v = 2*b, -4*b - 105 = 2*v - 129. Let r(l) be the third derivative of 16*l**2 + 0 - 7/64*l**4 - 3/160*l**5 - 1/8*l**b + 0*l. Let r(d) = 0. Calculate d.
-2, -1/3
Let v(i) be the first derivative of -i**3/5 + 279*i**2/5 - 1104*i/5 + 1282. Factor v(l).
-3*(l - 184)*(l - 2)/5
Let n = -6656 - -6674. Let d(i) be the third derivative of 3/80*i**5 + 1/160*i**6 + n*i**2 + 0 + 0*i + 3/32*i**4 + 1/8*i**3. Factor d(f).
3*(f + 1)**3/4
Let y(i) be the second derivative of -3*i + 85/4*i**2 - 5 - 415/24*i**3 - 25/48*i**4. Factor y(w).
-5*(w + 17)*(5*w - 2)/4
What is s in -1/3*s**3 - 71288/3*s + 71824/3 - 535/3*s**2 = 0?
-268, 1
Factor 6391*w**2 + 64 - 372 + 312*w - 6395*w**2.
-4*(w - 77)*(w - 1)
Let l(s) be the first derivative of -18*s**5/25 - 27*s**4/10 + 164*s**3/15 + 208*s**2/5 + 192*s/5 + 727. Solve l(p) = 0.
-4, -4/3, -2/3, 3
Let d(s) be the first derivative of -52 + 1/6*s**2 - 2/9*s**3 + 0*s + 1/12*s**4. Factor d(q).
q*(q - 1)**2/3
Let g be ((-65)/297 + (-88)/(-484))*-4. Let u(r) be the second derivative of 1/90*r**5 - 2/27*r**4 + g*r**3 + 5*r + 0*r**2 + 0. Suppose u(o) = 0. What is o?
0, 2
Factor -6875/9*a - 1750/9*a**2 - 50/3*a**3 + 1/9*a**5 - 3125/3 + 5/9*a**4.
(a - 15)*(a + 5)**4/9
Let x(f) be the second derivative of f**5/2 - 307*f**4/6 + 7592*f**3/5 + 24336*f**2/5 - 2958*f - 1. Solve x(y) = 0.
-1, 156/5
Let a = 6 - 2. Factor -4*g**3 + 1344*g**2 - 4*g**4 + 2*g - 1336*g**2 + 14*g + 2*g**a.
-2*g*(g - 2)*(g + 2)**2
Let j = -11 + 3. Let x(k) = -k**4 + 4*k**2 - 3*k. Let g(s) = 3*s**4 + s**4 + 8*s - 261*s**2 + 249*s**2. Let t(a) = j*x(a) - 3*g(a). Suppose t(z) = 0. What is z?
-1, 0, 1
Let p(g) be the first derivative of -5*g**3/3 + 165*g**2/2 + 740*g - 1633. Factor p(m).
-5*(m - 37)*(m + 4)
Let a be (((-2)/4)/((-32)/(-512)))/(-2*5). Let q(w) be the first derivative of 1/3*w**6 - a*w**5 - w**2 + 0*w - 1 + 0*w**4 + 4/3*w**3. Factor q(g).
2*g*(g - 1)**3*(g + 1)
Suppose 3*a = -3*j + 66, 5*j + 72 = 3*a + 2*j. Factor 13*s**2 - 13*s - a*s - 12*s**2 - 5*s**2 - 72.
-4*(s + 3)*(s + 6)
Let w = -5/42 - -13/21. Solve w - 1/2*v - 1/2*v**2 + 1/2*v**3 = 0 for v.
-1, 1
Factor 7/2*x**2 - 25/3*x - 12 - 1/6*x**3.
-(x - 18)*(x - 4)*(x + 1)/6
Let v(d) be the first derivative of 94 - 1/9*d**3 + 7/3*d**2 - 13/3*d. Suppose v(t) = 0. Calculate t.
1, 13
Let i(z) be the first derivative of 2*z**5/5 - 2506*z**4 + 6280036*z**3 - 7868885108*z**2 + 4929856520162*z + 2889. Solve i(k) = 0.
1253
Suppose -5*m = -2*n - 4, 11*n = 10*n + 3*m - 4. Suppose 4*b = -u, -2*b = -9*u + n*u. What is l in u*l + 0*l**2 + 0 + 4/5*l**4 + 2/5*l**3 = 0?
-1/2, 0
Let t(z) = -z**2 + 32*z + 21. Let u(r) = 10*r**2 - 350*r - 230. Suppose -140 = -27*o + 22. Let c(h) = o*u(h) + 65*t(h). Factor c(i).
-5*(i + 1)*(i + 3)
Suppose -4*s = 3*s. Suppose s = -5*t + 6 + 9. Factor 3 + t*p**2 + 6*p + 4*p**2 - 4*p**2 - 12.
3*(p - 1)*(p + 3)
Let h(w) be the third derivative of -2*w**7/105 - 83*w**6/30 - 145*w**5 - 14297*w**4/6 + 195112*w**3/3 - 685*w**2. Suppose h(r) = 0. What is r?
-29, 4
Let 76*q**2 - 13 - 25*q - 141 + 139*q - q**3 - 35*q = 0. What is q?
-2, 1, 77
Let u(x) = -42*x**2 + 5828*x + 4239880. Let m(r) = -115*r**2 + 17483*r + 12719638. Let t(v) = -4*m(v) + 11*u(v). Suppose t(q) = 0. What is q?
-1456
Let h(k) be the second derivative of k**6/14 + 69*k**5/140 + 5*k**4/7 - 6*k**3/7 + 15*k + 4. Solve h(j) = 0.
-3, -2, 0, 2/5
Suppose -5*a = 3*t - 4*t - 176, 5*a = 2*t + 172. Let d(b) = -45*b + 272. Let f be d(6). Find v, given that -36 - 5*v + 5*v**f + a = 0.
0, 1
Let y be ((-2)/(-4))/((-1)/(-18)). Suppose -3*s = -p + 17, -3*p + 6*p - 3*s = 21. Solve y*t**p - 4*t**2 - 23*t**3 + 28*t**3 = 0.
-1, 0
Let i = 4610 + -4605. Suppose 0 = n - 2. Factor -i*p**n - 24 - 30*p - 12 + 6 - 15.
-5*(p + 3)**2
Factor -4*d**2 + 2848*d - 4015*d - 4096576 + 5300*d + 3963*d.
-4*(d - 1012)**2
Let y(f) = 135*f**2 - 889*f + 125. Let b(c) = -15*c**2 + 100*c - 14. Let i(x) = -57*b(x) - 6*y(x). Factor i(h).
3*(h - 8)*(15*h - 2)
Suppose 124 = 20*d - 36. Let 40*g**3 + 17*g - 18*g**3 + d + 21*g - 18*g**3 + 25*g**2 = 0. Calculate g.
-4, -2, -1/4
Let t(k) be the first derivative of 2*k**3/3 - 35*k**2 + 528*k - 5140. Factor t(m).
2*(m - 24)*(m - 11)
Let v = 1149 + -1136. Let p be -3 + v - (-1081)/(-115). Suppose 6/5*r**3 + 0 - p*r**4 + 0*r + 9/5*r**2 = 0. Calculate r.
-1, 0, 3
Determine v so that 9 - 189/8*v - v**2 = 0.
-24, 3/8
Let b(g) = 2*g - 14. Let l be b(5). Let h be l/22 + 0 - 8/(-44). Find v such that -1/10*v**4 + 0*v + 0 + 0*v**2 - 1/10*v**5 + h*v**3 = 0.
-1, 0
Let m(n) = 4*n**2 - n + 5. Let y(o) = -4*o**2 - 4. Let w = 41 + -28. Let d = w + -17. Let k(i) = d*m(i) - 5*y(i). Find p such that k(p) = 0.
-1, 0
Let n(c) be the first derivative of -c**6/6 - 26*c**5/5 + 3*c**4/2 + 148*c**3/3 - 205*c**2/2 + 78*c - 878. Factor n(v).
-(v - 1)**3*(v + 3)*(v + 26)
Let y(g) be the first derivative of 6/5*g - 3/2*g**2 - 11/5*g**3 + 140 - 3/5*g**4. Factor y(h).
-3*(h + 1)*(h + 2)*(4*h - 1)/5
Let m(s) be the second derivative of 7*s**6/5 - 411*s**5/20 - 193*s**4/4 + 33*s**3 + 5723*s. Let m(p) = 0. Calculate p.
-3/2, 0, 2/7, 11
Let y = -4955/824 - -658/103. Factor -y*b**3 + 0 - 3/8*b**4 + 3/8*b**2 + 3/8*b.
-3*b*(b - 1)*(b + 1)**2/8
Suppose 3*h + h + 11*h = -2*h + 6*h. Factor -1/7 + 1/7*p**2 + h*p.
(p - 1)*(p + 1)/7
Let r(w) be the third derivative of -w**6/900 + 21*w**5/25 + w**4/180 - 42*w**3/5 - 4511*w**2. Suppose r(q) = 0. Calculate q.
-1, 1, 378
Let r(o) = -598*o - 21. Let h be r(-5). Suppose -3*g + 3353 - h = 0. Solve -2/3*v**3 + 1024/3 + 16*v**2 - g*v = 0.
8
Let g be (2760/45)/((-2)/(-3)). Suppose h = -2*k + 38, 3*h + h - 4*k = g. Suppose 295 + h*j - 95 + 2*j**2 + 3*j + 9*j = 0. Calculate j.
-10
Factor -4798*c**2 + 5755201*c - 13806727199/6 + 4/3*c**3.
(2*c - 2399)**3/6
Let j(a) be the second derivative of -a**6/1800 + a**5/300 + a**4/15 + a**3/3 - 81*a**2/2 + 3*a - 3. Let f(o) be the second derivative of j(o). Factor f(q).
-(q - 4)*(q + 2)/5
Let d(c) = c**3 - 30*c**2 - 138*c + 12. Let b be d(34). Let n be (2/(-5))/(b/280). Factor 24*k**n - 15/2*k - 27*k**3 + 0 + 12*k**4 - 3/2*k**5.
-3*k*(k - 5)*(k - 1)**3/2
Let k(v) be the first derivative of 0*v - 9/5*v**5 - 9/4*v**4 + 1/2*v**6 + 100 + 11*v**3 - 9*v**2. Factor k(g).
3*g*(g - 3)*(g - 1)**2*(g + 2)
Suppose 0 = 31*v - 33*v - 14. Let k be v/(-6) + 86/(-129). Let 3/8*h**2 - 1/2*h + 1/8*h**4 - k + 1/2*h**3 = 0. Calculate h.
-2, -1, 1
Solve 80 - 5008*d**5 - 200003*d - 63437*d**5 + 200243*d + 77805*d**4 - 4680*d**2 - 5000*d**3 = 0.
-2/13, 2/9, 1
Let l(v) be the first derivative of -4*v**3/3 + 23*v**2/2 - 15*v + 606. Solve l(p) = 0 for p.
3/4, 5
Let r(y) be the second derivative of y**7/28 - y**6/2 - 9*y**5/20 + 13*y**4/2 + 77*y**3/4 + 45*y**2/2 + 1922*y. Solve r(d) = 0 for d.
-1, 3, 10
Let z(h) be the first derivative of h**4/15 - 34*h**3/15 - 76*h**2/5 - 113*h + 35. Let x(r) be the first derivative of z(r). Factor x(c).
4*(c - 19)*(c + 2)/5
Let l(w) = 8*w - 13. Let b be l(0). Let r be (8/6)/((234/(-27))/b). Factor 2*m**r + 4*m**3 + 7*m**4 - 4*m + 2*m**4 - 11*m**4.
-2*m*(m - 2)*(m - 1)*(m + 1)
Let o(t) = -5*t + 188. Let s be o(34). Find x such that 12*x**3 + 3*x**3 - 36*x - s*x**2 - 24 - 18*x**3 = 0.
-2
Let c(o) be the second derivative of -5/12*o**4 + 25/2*o**2 - o - 25 + 10/3*o**3. Factor c(y).
-5*(y - 5)*(y + 1)
Let j(p) be the first derivative of 5*p**3/3 + 190*p**2 - 1185*p + 210. Determine h so that j(h) = 0.
-79, 3
Let u(o) be the first derivative of o**7/420 - o**6/240 + o**2/2 + 10*o - 6. Let i(h) be the second derivative of u(h). Suppose i(n) = 0. Calculate n.
0, 1
Let c(o) be the third derivative of o**7/420 + 5*o**6/48 + 69*o**5/40 + 189*o**4/16 - 4327*o**2. Factor c(f).
f*(f + 7)*(f + 9)**2/2
Let g be (1/(-13))/((-274)/32058) - 118/14. Factor -g - 2/7*l + 2/7*l**2.
2*(l - 2)*(l + 1)/7
Let t(h) be the third derivative of -1/60*h**6 + 0*h**4 + 0*h + 163*h**2 + 0*h**3 + 0 - 2/55*h**5. Determine m so that t(m) = 0.
-12/11, 0
Let n = 4705 - 8501. Let c = 7735/2 + n. Factor c*l - 121/2 - 23/2*l**2 + 1/2*l**3.
(l - 11)**2*(l - 1)/2
Let f = 383 - 223. Let y = 160 - f. Suppose 2/21*g**2 + 0*g + y = 0. What is g?
0
Determine n, given that -251*n - 31*n - 36*n - 86*n**2 + 0*n**3 + 273 - 507 - 2*n**3 = 0.
-39, -3, -1
Let u(a) be the first derivative of 3*a**4/4 - 51*a**3/7 + 3*a**2 + 639. Determine