d = 0.
-49
Let n(v) be the third derivative of v**5/30 + 269*v**4/3 - 359*v**3 + 3*v**2 - 1326*v + 2. Factor n(o).
2*(o - 1)*(o + 1077)
Let s(w) = 7*w**2 - 4*w - 6. Suppose -j - 1 - 4 = 0. Let v(c) = -4*c**2 - 1 + 3 + 3 + 2*c - 2. Let f(p) = j*v(p) - 3*s(p). Factor f(d).
-(d - 3)*(d + 1)
Let m(r) be the third derivative of -3/2*r**3 + r**2 + 1/20*r**6 + 0 - 7*r + 5/4*r**4 - 9/20*r**5. Solve m(f) = 0.
1/2, 1, 3
Let o = -9415/16 - -9423/16. Determine y so that y**2 - o + 1/2*y = 0.
-1, 1/2
Let a(b) be the third derivative of -5*b**6/6 + 56*b**5/3 - 352*b**4/3 + 1024*b**3/3 - 3*b**2 - 64*b. Suppose a(t) = 0. Calculate t.
8/5, 8
Let u = 193040/124101 + 2/41367. Find v such that 20/9*v**2 + 2/9*v**3 - 4 + u*v = 0.
-9, -2, 1
Factor 0 + 2*l**2 + 28/5*l - 2/5*l**3.
-2*l*(l - 7)*(l + 2)/5
Let n be (18/(-8))/((-12)/704). Factor -40*q**2 + 7 + 15*q**3 - n + 51*q**2 + 134*q**2 + 325*q.
5*(q + 5)**2*(3*q - 1)
Let z be (-7)/(-2)*-22*(-84)/29106. Let z*n**3 - 34/9*n**2 + 34/9 - 2/9*n = 0. Calculate n.
-1, 1, 17
Let y(w) be the second derivative of -3/70*w**5 - 4*w**2 + 0*w**3 - 7*w - 1/42*w**4 + 0. Let n(i) be the first derivative of y(i). Factor n(j).
-2*j*(9*j + 2)/7
Let q be (-140*(-26)/1365)/((-2)/(-3)). Factor -13/5*d**2 + 12/5*d + 6/5*d**3 - 1/5*d**q - 4/5.
-(d - 2)**2*(d - 1)**2/5
Let z be ((-576)/56)/(37/(17612/(-85))). Determine v so that -6912/5 - z*v - 3/5*v**2 = 0.
-48
Let l(b) be the third derivative of -53 - 13/180*b**5 - 1/360*b**6 - 1/6*b**4 + 0*b + 0*b**3 + 2*b**2. Let l(q) = 0. Calculate q.
-12, -1, 0
Let d(u) be the third derivative of -47*u**6/72 - 26*u**5/9 - 335*u**4/72 - 25*u**3/9 + 3*u**2 + 630. Factor d(b).
-5*(b + 1)**2*(47*b + 10)/3
Factor 29/8 - 1/8*y**2 - 7/2*y.
-(y - 1)*(y + 29)/8
Let q(f) be the second derivative of -f**5/20 + 7*f**4/8 - 3*f**3 - 5*f**2/2 - 41*f. Let s(o) be the first derivative of q(o). Factor s(u).
-3*(u - 6)*(u - 1)
Let a be (19 - (-230)/(-10)) + (4 - 0). Suppose 1/2*f**4 + a*f - 1/2*f**5 + 0*f**3 + 0 + 0*f**2 = 0. Calculate f.
0, 1
Let o be (-4)/(-4 - (-7 - -4)). Factor 12*y**3 + 101*y**2 - 16*y - 3*y**5 - y**5 - 117*y**2 + 8*y**o.
-4*y*(y - 2)**2*(y + 1)**2
Let y = -211 + 215. Let i = -1677 - -1680. Let 0 + 0*u**i + 12/11*u**y + 6/11*u**5 + 0*u**2 + 0*u = 0. What is u?
-2, 0
Let i(v) be the first derivative of -3*v**5/5 + 3*v**4 + 7*v**3 - 33*v**2 - 72*v + 1559. Solve i(h) = 0 for h.
-2, -1, 3, 4
Let j(c) = 30*c + 1915. Let x be j(-63). Let a(y) be the first derivative of 0*y - 1/2*y**3 - 1/2*y**2 - x. Let a(o) = 0. Calculate o.
-2/3, 0
Let v(l) be the second derivative of -l + 9/4*l**4 + 12*l**3 + 24*l**2 + 17 + 3/20*l**5. Factor v(y).
3*(y + 1)*(y + 4)**2
Suppose 38*q = 111*q + 52*q - 116 - 134. Factor 12/5 + 2/5*a**q + 14/5*a.
2*(a + 1)*(a + 6)/5
Let v(u) be the second derivative of 0 + 27/8*u**2 - 1/96*u**4 - 206*u + 53/48*u**3. Factor v(p).
-(p - 54)*(p + 1)/8
Let c(v) be the third derivative of -30*v**2 - 1/12*v**6 - 5/336*v**8 + 45*v**3 + 1/7*v**7 + 0*v + 45/8*v**4 + 0 - 3*v**5. Suppose c(n) = 0. Calculate n.
-2, -1, 3
Let s(w) be the first derivative of w**4/8 + 3*w**3 + 33*w**2/4 + 8*w - 1114. Factor s(h).
(h + 1)**2*(h + 16)/2
Suppose 1637*j**2 - 224 + 672*j - 304 - 1784*j**2 + 0*j**3 + 3*j**3 = 0. Calculate j.
1, 4, 44
Let o(j) be the first derivative of j**4/8 - 5*j**3/6 - 39*j**2/2 - 36*j - 898. Let o(x) = 0. Calculate x.
-6, -1, 12
Let v(s) be the first derivative of -s**3/3 - 37*s**2/2 + 360*s - 1360. Find y such that v(y) = 0.
-45, 8
Suppose -4*u + 4 = 0, 2*t + 3*u + 33 - 17 = 19. Solve -8/9*x - 4/3*x**2 - 4/9*x**3 + t = 0 for x.
-2, -1, 0
Let d = -69465/238 + 4101/14. Factor 2/17*y**2 + 16/17*y - d.
2*(y - 1)*(y + 9)/17
Let a(l) = -l**3 + 2*l. Let j(d) be the first derivative of 0*d + 8/3*d**3 + 40 + 5*d**2 - 9/4*d**4. Let m(q) = 5*a(q) - j(q). Find c such that m(c) = 0.
0, 2
Let c = -142213 + 142216. Solve -2/11*p**4 + 8/11*p**2 + 8/11*p + 0 - 2/11*p**c = 0 for p.
-2, -1, 0, 2
Find n, given that 19 + 1/7*n**2 + 134/7*n = 0.
-133, -1
Find k, given that 8 - 1926*k**3 + 1938*k**3 + 16 - 3*k**4 + 9*k**2 - 42*k = 0.
-2, 1, 4
Let p(c) = -3*c**3 + 9*c**2 + 27*c - 84. Let j(v) = 3*v**3 - 9*v**2 - 27*v + 85. Let y(n) = 6*n**2 - 2. Let a be y(-1). Let w(f) = a*p(f) + 3*j(f). Factor w(o).
-3*(o - 3)**2*(o + 3)
Factor -434/3*q + 142/3*q**3 - 4 - 280/3*q**2.
2*(q - 3)*(q + 1)*(71*q + 2)/3
Factor -17/6*r**2 - 1/6*r**3 - 49/2 - 91/6*r.
-(r + 3)*(r + 7)**2/6
Let t(b) = 235*b**3 + 427*b**2 - 224*b - 96. Let d(f) = 352*f**3 + 644*f**2 - 336*f - 144. Let i(u) = 5*d(u) - 8*t(u). Determine n, given that i(n) = 0.
-2, -3/10, 2/3
Let f = -32/145 + 8861/40020. Let s(x) be the third derivative of -1/276*x**4 - 1/690*x**5 - 15*x**2 + 0*x + f*x**6 + 1/69*x**3 + 0. Factor s(z).
2*(z - 1)**2*(z + 1)/23
Let v = -9 - -11. Let b(y) = -4*y + 451*y**2 - 459*y**v - 10 - 14*y. Let j(k) = -k**2 - k. Let n(q) = -b(q) + 6*j(q). What is r in n(r) = 0?
-5, -1
Let a be (-645)/(-150) + (-270)/150. Suppose -2*h - 17*h**2 + 4 - 19/2*h**3 + 4*h**4 + a*h**5 = 0. Calculate h.
-2, -1, 2/5, 2
Let n = 70984247/1207215 + -1/241443. Suppose -n*i**2 - 216/5 + 444/5*i - 3/5*i**4 + 69/5*i**3 = 0. Calculate i.
1, 2, 18
Let z(b) = -b**2 - b**2 + 3*b - 3*b. Let p(u) be the second derivative of -13*u**4/6 - u**3/3 - 2*u**2 + 2*u - 40. Let k(l) = -2*p(l) + 28*z(l). Factor k(a).
-4*(a - 2)*(a + 1)
Let g(o) = -o**3 + 11*o**2 + 24*o - 17. Let v be g(12). Find a such that -2*a**3 + v*a - 300*a**2 + 21*a**3 - 70 + 158*a + a**3 = 0.
1/2, 14
Let a(x) = -4*x**5 - 137*x**4 - 143*x**3 + 5*x**2. Let t(f) = 5*f**5 + 205*f**4 + 214*f**3 - 7*f**2. Let s(w) = 7*a(w) + 5*t(w). Let s(c) = 0. Calculate c.
-1, 0, 23
Suppose 2640*q + 788 - 5580 = 488. Factor -3/7*u**q + 198/7*u - 3267/7.
-3*(u - 33)**2/7
Let g(a) be the second derivative of 46/15*a**3 - 1/15*a**4 + 0 + 48/5*a**2 - 27*a. What is f in g(f) = 0?
-1, 24
Let g(d) be the second derivative of d**5/10 + 104*d**4/27 + 23*d**3/27 + 8406*d. Suppose g(b) = 0. Calculate b.
-23, -1/9, 0
Factor 273*m + 78*m**2 - 289 - 59 - 16768*m**3 + 16765*m**3.
-3*(m - 29)*(m - 1)*(m + 4)
Let d(p) be the third derivative of p**6/420 + 9*p**5/70 + 18*p**4/7 + 180*p**3/7 + 2081*p**2. Find y such that d(y) = 0.
-15, -6
Let v(i) be the first derivative of i**5/120 + i**4/6 + 5*i**3/4 - i**2/2 - 41*i + 245. Let m(p) be the second derivative of v(p). Factor m(q).
(q + 3)*(q + 5)/2
Let w be (24/(-14))/(6 - (-1040)/(-140)). Let v(x) be the second derivative of -1/6*x**4 - 5*x + w*x**3 + 8/5*x**2 + 0. Factor v(a).
-2*(a - 4)*(5*a + 2)/5
Determine o, given that 2/11*o**2 - 1288/11 + 314/11*o = 0.
-161, 4
Let o(n) be the third derivative of -n**5/15 + 29*n**4/6 + 140*n**3 - 11970*n**2. Factor o(v).
-4*(v - 35)*(v + 6)
Suppose j + 15 = -2*u + 21, -u = -3*j - 10. Find w, given that 54*w**2 - 27*w**3 + 12*w - 92*w**u + 95*w**4 + 25 - 97 = 0.
-1, 2, 6
Let i(s) = s**3 - 38*s**2 - 44*s + 197. Let f be i(39). Let v(j) be the first derivative of j + 7 - 2/3*j**f + 1/9*j**3. Factor v(b).
(b - 3)*(b - 1)/3
Suppose -7 = -3*w - 5*z - 6, 0 = -w - 4*z - 9. Factor 10 + w*n - 6 - 7 - 3*n - n**2.
-(n - 3)*(n - 1)
Let o(p) be the second derivative of -6655*p**2 - 4840/3*p**3 + 5/84*p**7 + 235/8*p**5 + 278*p + 0 - 55/24*p**4 - 29/12*p**6. Determine n so that o(n) = 0.
-2, 11
Let n = -21806 + 21809. Suppose -5*j + 85 = -5*k, -3*j + 5*k = 4 - 47. Factor j*l**5 + 6*l**n - 24*l**5 - 5*l + 2*l.
-3*l*(l - 1)**2*(l + 1)**2
Let c(t) = 5*t**2 - 38*t + 128. Let w(n) be the first derivative of -2*n**3/3 + 10*n**2 - 64*n - 66. Let a(v) = 4*c(v) + 9*w(v). What is b in a(b) = 0?
-16, 2
Determine i, given that -261*i**3 + 0 - 1008*i + 117/4*i**4 + 876*i**2 - 3/4*i**5 = 0.
0, 3, 4, 28
Let u = -412 - -415. Let -6*x + 3*x**2 - 4*x + 8*x**3 + 5*x**u + 2*x**3 - 14*x**3 = 0. Calculate x.
-5, 0, 2
Let p = 29647 - 29647. Let c(b) be the second derivative of 0*b**2 + p + 0*b**4 - 4/15*b**5 - 2/63*b**7 - 35*b + 8/45*b**6 + 0*b**3. What is k in c(k) = 0?
0, 2
Let j(t) be the second derivative of -3*t**5/20 + 609*t**4/4 - 92415*t**3/2 - 279075*t**2/2 - 518*t. Factor j(m).
-3*(m - 305)**2*(m + 1)
Let c(d) be the second derivative of -d**4/16 + 365*d**3/8 - 273*d**2/2 - 535*d + 3. Suppose c(b) = 0. Calculate b.
1, 364
Let k(y) be the third derivative of y**8/1848 + 281*y**7/1155 - y