) = 0. Calculate s.
-5, -1, -1/2
Let s(m) be the second derivative of -m**6/960 + m**5/80 - 3*m**4/64 - m**3/6 + 19*m**2 - 7*m. Let g(q) be the second derivative of s(q). Factor g(p).
-3*(p - 3)*(p - 1)/8
Let t(p) be the second derivative of -p**4/4 + 17*p**3 + 828*p**2 - 6*p + 232. Suppose t(z) = 0. What is z?
-12, 46
Let y(w) be the third derivative of w**6/480 - 49*w**5/240 + 13*w**4/2 - 24*w**3 + 482*w**2. Factor y(n).
(n - 24)**2*(n - 1)/4
Let w(v) be the second derivative of 3*v**5/40 + 51*v**4/2 + 2601*v**3 + 5*v + 43. Let w(d) = 0. Calculate d.
-102, 0
Let a = 273810 + -1916630/7. Solve a*i - 184/7*i**2 + 0 + 18/7*i**3 = 0 for i.
0, 2/9, 10
Factor 4*n**2 - 275*n - 29 + 237 - 24*n**2 + 62 + 25*n**2.
5*(n - 54)*(n - 1)
Let l(h) = 2*h**2 + 3*h. Let a(x) = -12*x**2 + 58*x + 22. Let p(k) = -a(k) + 10*l(k). Factor p(i).
2*(2*i + 1)*(8*i - 11)
Determine g, given that 0 - 1/9*g**2 + 127/9*g = 0.
0, 127
Let p(a) be the first derivative of a**6/4 + 33*a**5/10 + 117*a**4/8 + 41*a**3/2 - 24*a**2 - 90*a + 984. Suppose p(m) = 0. Calculate m.
-5, -3, -2, 1
Let z(b) be the second derivative of 3/20*b**5 + 1/4*b**4 - 1/30*b**6 + 3*b**2 - 11/6*b**3 - 43 - 2*b. Factor z(t).
-(t - 3)*(t - 1)**2*(t + 2)
Let i(w) be the second derivative of w**5/70 + 31*w**4/21 - 128*w**3/21 + 1037*w - 2. Suppose i(b) = 0. Calculate b.
-64, 0, 2
Let z(g) be the second derivative of -g**6/120 - 3*g**5/40 + 29*g**4/16 - 8*g**3/3 - 39*g**2/2 - 11*g - 348. What is l in z(l) = 0?
-13, -1, 2, 6
Let l(j) be the third derivative of j**7/175 + 4*j**6/75 + j**5/50 - 23*j**4/30 + 8*j**3/5 + 109*j**2 + j. Suppose l(s) = 0. Calculate s.
-4, -3, 2/3, 1
Let h(n) be the second derivative of -4/5*n**2 + 1/35*n**7 + 33/50*n**5 + 23/30*n**4 + 17/75*n**6 - 2*n + 36 + 0*n**3. Find j, given that h(j) = 0.
-2, -1, 1/3
Suppose -51 = -5*g - 36. Factor -13*v**2 + 17*v - 185*v**3 + 187*v**g + 5 + 7.
(v - 4)*(v - 3)*(2*v + 1)
Let a(k) = -k**2 - 96*k - 1213. Let q be a(-81). Solve -2/5*w**q - 1352/5 + 104/5*w = 0 for w.
26
Let g be 1/4 - 1595/(-116). Factor -j + 92 - 5 - 27*j**2 - g*j - 45.
-3*(j - 1)*(9*j + 14)
Let h(m) = 955*m**2 - 570*m - 43625. Let p(c) = 44*c**2 - 26*c - 1983. Let w(z) = 3*h(z) - 65*p(z). Suppose w(j) = 0. What is j?
-18, 22
Suppose -u = -4*v - 65, -381 = -5*u + 3*v - 90. Let a be u/3 + -15 - (-14)/(-4). Factor a*i**3 + 1/6*i**4 + 0*i + 1/3*i**2 + 0.
i**2*(i + 1)*(i + 2)/6
Let o(w) be the second derivative of 0 - 33*w - 1/30*w**4 + 12/5*w**2 + 4/15*w**3. Factor o(c).
-2*(c - 6)*(c + 2)/5
Determine l, given that -1209/5*l**2 - 1/5*l**3 + 2421/5*l - 1211/5 = 0.
-1211, 1
Suppose t + 87237 = 3*s - 0*t, 116303 = 4*s + 3*t. Factor 10*i**4 + s + 5*i**3 - 29078 + 5*i**5.
5*i**3*(i + 1)**2
Let b be 3 - 1 - (0 - (-3 + 4)). Find o, given that -12*o + 32*o**3 - 32*o**2 - 28*o**b - 9*o - 15*o = 0.
-1, 0, 9
Solve -2*t**3 + 296 - 6044*t**2 + 442*t + 6189*t**2 + t**3 = 0.
-2, -1, 148
Let c(l) be the first derivative of 0*l + 25/3*l**3 - 135 + 10*l**2 - 5*l**5 - 15/4*l**4 - 5/6*l**6. Suppose c(n) = 0. Calculate n.
-4, -1, 0, 1
Suppose -68 = 5*s - 213. Suppose 21*q**3 - 18*q**2 - 12*q**4 - 8*q**2 + s*q**2 - 21*q + 9 = 0. What is q?
-1, 3/4, 1
Let l = 12952/9 + -12400/9. Suppose 80/3*m - 34*m**4 + 6*m**5 + 20/3*m**3 + l*m**2 + 0 = 0. Calculate m.
-2/3, 0, 2, 5
Suppose w - 633 + 630 = 0. Suppose -181*l**2 + 28*l**2 - 15 - 3*l**5 - 93*l**w - 11 + 5 - 120*l - 27*l**4 - 15 = 0. What is l?
-3, -2, -1
Let d(s) be the third derivative of -10*s**2 - 3 + 0*s**3 + 1/660*s**6 + 0*s + 0*s**4 - 1/165*s**5 + 1/1155*s**7. Let d(k) = 0. Calculate k.
-2, 0, 1
Let p(d) be the third derivative of 11/40*d**5 + 0*d - 7/8*d**4 + 9/448*d**8 + d**3 + 0 + 19/160*d**6 - 238*d**2 - 3/28*d**7. Let p(c) = 0. Calculate c.
-1, 2/3, 1, 2
Suppose -4*d = 3*s - s + 164, 5*d + 85 = -s. Let a = -78 - s. Factor g**3 - 13*g**2 + g**a + 4*g**3 - 40*g - 23*g**2.
5*g*(g - 8)*(g + 1)
Solve -240/7*n**4 + 2/7*n**5 + 716/7*n**2 + 0 - 6/7*n**3 + 480/7*n = 0.
-1, 0, 2, 120
Let x(k) = 3*k**3 + 5*k**2 + 2. Let i(q) = -2*q - 2. Let v(h) = 97*h + 3 + 105*h - 199*h. Let y(t) = -7*i(t) - 5*v(t). Let m(a) = 5*x(a) + 10*y(a). Factor m(c).
5*c*(c + 2)*(3*c - 1)
Let o = 197587 + -2568629/13. Factor -20/13 - o*l**2 + 14/13*l.
-2*(l - 5)*(l - 2)/13
Let j(f) be the second derivative of 2*f**6/15 + 12*f**5/5 + 7*f**4 - 196*f**3/3 - 177*f + 8. Factor j(k).
4*k*(k - 2)*(k + 7)**2
Let f = -253 - -256. Factor -12*r + 0*r**2 - 135 - 153 - f*r**2 + 276.
-3*(r + 2)**2
Let b(c) be the third derivative of -c**9/30240 - c**8/2880 + c**6/80 - 19*c**5/30 - c**4/24 + 65*c**2. Let w(z) be the third derivative of b(z). Factor w(n).
-(n - 1)*(n + 3)*(2*n + 3)
Let k(w) be the second derivative of -w**7/2520 + w**6/216 - w**5/45 + w**4/18 - 52*w**3/3 + 5*w. Let f(q) be the second derivative of k(q). Factor f(i).
-(i - 2)**2*(i - 1)/3
Suppose 0 = 14011*i - 12770*i. Factor 2/3*t + 1/3*t**4 + 5/3*t**2 + i + 4/3*t**3.
t*(t + 1)**2*(t + 2)/3
Let f(w) be the third derivative of 0*w**5 - 2/315*w**7 + 0 + 139*w**2 + 0*w**4 + 0*w + 0*w**3 + 2/45*w**6. Factor f(v).
-4*v**3*(v - 4)/3
Let m = 2/24253 - -48500/72759. Solve -4/3*y**2 + 0 - 2*y + m*y**3 = 0 for y.
-1, 0, 3
Let i be (18 - (-13 + 456/16))/((-50)/(-8)). Factor -44/5*w + i*w**3 - 42/5*w**2 + 0.
2*w*(w - 22)*(w + 1)/5
Let v be (-43*46/(-7912))/(1/8). Factor 0*o + 8/3*o**4 + 0 - 1/3*o**v + 3/2*o**5 + 5/6*o**3.
o**2*(o + 1)**2*(9*o - 2)/6
Let v(o) be the second derivative of 5*o**4/12 + 95*o**3/6 - 2*o - 484. Factor v(c).
5*c*(c + 19)
Let f(k) be the third derivative of 147*k**6/20 - 623*k**5/20 + 20*k**4 - 11*k**3/2 - 1290*k**2. Factor f(x).
3*(6*x - 11)*(7*x - 1)**2
Let m be (-1 - -2) + -1 + (1 - -2). What is w in 297 - 12*w**2 - 3*w**3 - 570 - m*w + 291 = 0?
-3, -2, 1
Let g(x) be the first derivative of 2*x**3/15 + 12*x**2/5 + 72*x/5 - 6383. Factor g(s).
2*(s + 6)**2/5
Let f(l) = 7*l**3 - 19*l**2 - 101*l - 45. Let i(q) = -6*q**3 + 19*q**2 + 99*q + 49. Let o(u) = 5*f(u) + 6*i(u). What is z in o(z) = 0?
-3, -1, 23
Let j = -3347 + 50207/15. Let r(o) be the second derivative of o**4 - 4*o + j*o**6 + 0 - 3/5*o**5 - 2/3*o**3 + 0*o**2. Factor r(f).
4*f*(f - 1)**3
Suppose -5*a + 42 = 4*i, 30*a - 24*a - 5*i + 28 = 0. Find w, given that -31250/7 - 2/7*w**3 - 150/7*w**a - 3750/7*w = 0.
-25
Let o(w) be the first derivative of 3/20*w**4 - 1/25*w**5 + 150 - 2/5*w**2 + 0*w**3 + 0*w. Suppose o(d) = 0. Calculate d.
-1, 0, 2
Let r(m) be the second derivative of m**7/4 + 47*m**6/20 + 189*m**5/40 + 13*m**4/8 - 5*m**3/2 - 10896*m. Let r(g) = 0. Calculate g.
-5, -1, 0, 2/7
Let n = -2482220/9 + 275808. Factor 2/9*v**2 + n + 10/3*v.
2*(v + 2)*(v + 13)/9
Let w be (-1)/5 + (-88)/(-40). Factor -222*f**2 - 16 + 96*f**2 + 176*f + 42*f**w.
-4*(f - 2)*(21*f - 2)
Let p = -62 + 64. Suppose -3*y = -p*o + 6*o - 100, 12 = 3*y. Let 60*t**4 + 24*t**3 + 8*t + 40*t**2 + 30*t**3 + 18*t**5 - 2*t**3 + o*t**3 = 0. Calculate t.
-1, -2/3, 0
Let y(v) be the second derivative of -1 + 0*v**2 + 21/4*v**5 + 250/3*v**3 - 50*v**4 - 1/6*v**6 - 9*v. Factor y(h).
-5*h*(h - 10)**2*(h - 1)
Let u be -3*(-57)/378 - 18/63. Factor 0 - 33*k**3 + 4*k**4 + 108*k**2 - 243/2*k - u*k**5.
-k*(k - 9)**2*(k - 3)**2/6
Let a(i) be the first derivative of 30*i**3 - 357*i**2/2 + 57*i - 2214. Find n, given that a(n) = 0.
1/6, 19/5
Let h(n) = -7*n**2 - 554*n + 25390. Let p(x) = -19*x**2 - 1109*x + 50779. Let b = -278 - -276. Let q(g) = b*p(g) + 5*h(g). Factor q(f).
3*(f - 92)**2
Let v(r) be the first derivative of r**7/1260 + r**6/270 - r**5/12 - 170*r**3/3 + 79. Let b(c) be the third derivative of v(c). Solve b(k) = 0 for k.
-5, 0, 3
Suppose 1198 + 491 = 4*j + 5*u, j + u - 423 = 0. Factor -423*q**2 - 3 - 69*q - 69 + j*q**2.
3*(q - 24)*(q + 1)
Let z(h) be the first derivative of -26 + 16*h**2 - 36*h + 4/3*h**3. Factor z(o).
4*(o - 1)*(o + 9)
Let p(z) be the first derivative of 0*z - z**3 + 3/5*z**5 - 4 + 1/2*z**6 - 3/4*z**4 + 0*z**2. Factor p(m).
3*m**2*(m - 1)*(m + 1)**2
Let 2574/7*n**2 + 444/7*n + 507*n**3 + 24/7 - 6591/7*n**4 = 0. What is n?
-2/13, 1
Suppose 4*n - 93 = 31. Suppose 3*s**2 + 3 - 32*s**3 - 36*s**4 + 32*s**4 - 3 - n*s**2 = 0. What is s?
-7, -1, 0
Factor 3*j**2 + 342*j**2 - 1635*j - 20 + 65*j**2.
5*(j - 4)*(82*j + 1)
Let k(q) = -2*q**2 - q - 8. Let v(b) = -7*b**2 - 69*b + 268. Let y(u)