ch that 106*v**3 - 120*v - 142359 + 142359 - 46*v**2 - 108*v**3 = 0.
-20, -3, 0
Let z = -12833/5 - -89846/35. Factor 9/7*s - z*s**2 + 12/7.
-3*(s - 4)*(s + 1)/7
Let z(y) be the third derivative of -y**8/42 - 533*y**7/105 - 219*y**6/20 + 401*y**5/30 + 661*y**4/12 + 44*y**3 - 1094*y**2. Determine a, given that z(a) = 0.
-132, -1, -1/4, 1
Let q(u) be the third derivative of u**9/30240 - u**7/1680 - u**6/720 + 41*u**4/24 - 13*u**2 - 5. Let v(k) be the second derivative of q(k). Factor v(d).
d*(d - 2)*(d + 1)**2/2
Let c = 450 + -445. Let i be (-42)/7*c/(-10). Solve 1/7*p - 5/7*p**5 + 8/7*p**4 + 4/7*p**i + 2/7 - 10/7*p**2 = 0.
-1, -2/5, 1
Factor -681*u**4 - 75*u**3 - 33*u**2 + 678*u**4 + 63*u - 38*u - 373*u + 369*u**2.
-3*u*(u - 2)**2*(u + 29)
Solve 1690/9 - 2/9*i**2 - 328/9*i = 0 for i.
-169, 5
Let o be (-99)/(-54) - 2/(-12). What is r in 0*r**2 - 17*r**2 - 30 + 2*r**4 + 2*r**3 - 3*r**o + 56*r - 10*r**3 = 0?
-3, 1, 5
Let j(v) be the third derivative of -v**7/70 - 4*v**6/5 - 61*v**5/20 - 15*v**4/4 - 6*v**2 + 6. What is s in j(s) = 0?
-30, -1, 0
Let a(t) be the third derivative of -13*t**5/600 - 179*t**4/240 + 16*t**3/5 - 879*t**2. Factor a(o).
-(o - 1)*(13*o + 192)/10
Suppose -26 = -4*o - 2*s, 12314*o - 16 = 12315*o - 2*s. Let 55/3*f + 5/3*f**o - 20 = 0. Calculate f.
-12, 1
Let f(c) = -22*c**4 - 98*c**3 + 173*c**2 + 999*c - 1687. Let q(h) = 29*h**4 + 131*h**3 - 231*h**2 - 1333*h + 2249. Let i(l) = 9*f(l) + 7*q(l). Factor i(a).
5*(a - 2)**2*(a + 4)*(a + 7)
Let a(x) = 32*x**2 + 18*x - 22. Let p be a(5). Let v = 871 - p. Factor -1/2*w**v - 2*w**2 - 3/2*w + 0.
-w*(w + 1)*(w + 3)/2
Let o(n) be the first derivative of -n**5/4 - 125*n**4/12 - 140*n**3 - 360*n**2 - 35*n - 146. Let p(b) be the first derivative of o(b). Factor p(d).
-5*(d + 1)*(d + 12)**2
Let a(n) = -15*n - 33. Let u be a(-11). Let m = 136 - u. What is p in -2*p - 6*p + 20*p**3 + 20*p + 28*p**2 + m*p**4 = 0?
-3, -1, 0
Let p(g) be the second derivative of -g**5/105 + g**4/14 + 20*g**3/21 - 12*g**2 + 25*g. Let m(v) be the first derivative of p(v). Factor m(s).
-4*(s - 5)*(s + 2)/7
Let v(k) be the second derivative of -k**7/1365 - k**6/390 - k**5/390 - 43*k**2/2 - 3*k - 1. Let z(y) be the first derivative of v(y). Factor z(d).
-2*d**2*(d + 1)**2/13
Let m be (-1)/1*(-12)/2. Let f be ((-918)/96 + 10)*(-612)/(-357). Factor 12 + m*y + f*y**2.
3*(y + 4)**2/4
Let t be (-10 - (-12 + 26))*2/6. Let j be t/(-6)*(-954)/(-742). Factor 4/7*c**3 + j*c + 12/7*c**2 + 4/7.
4*(c + 1)**3/7
Let v(z) be the first derivative of -13 + 333/20*z**4 + 0*z**2 - 8/5*z**6 + 0*z + 168/25*z**5 + 9*z**3. Factor v(n).
-3*n**2*(n - 5)*(4*n + 3)**2/5
Suppose 3*u - 2 = -2*m + 7*u, 5*u - 95 = -90. Factor -12/13 - 2/13*f - 2/13*f**m + 8/13*f**2.
-2*(f - 3)*(f - 2)*(f + 1)/13
Let n be (10/8)/((-11)/(-44)). Let 0*b + 3*b - n*b**2 + 10 + 22*b + 16 + 44 = 0. Calculate b.
-2, 7
Let f(t) be the second derivative of t**8/1344 - t**7/168 + t**6/48 - t**5/24 - 9*t**4/4 - 9*t + 2. Let n(a) be the third derivative of f(a). Factor n(j).
5*(j - 1)**3
Let l = 858 + -847. Let o(z) = -5*z**4 + 26*z**3 + 69*z**2 + 71*z. Let c(t) = t**4 - 5*t**3 - 14*t**2 - 14*t. Let v(p) = l*c(p) + 2*o(p). Factor v(g).
g*(g - 6)*(g + 1)*(g + 2)
Let r(y) = y**2 + 87*y + 1136. Let t be r(-16). Let x(j) be the third derivative of 4*j**2 + 0 + 0*j - 1/20*j**5 + t*j**3 - 1/8*j**4. Factor x(m).
-3*m*(m + 1)
Let d(s) = -3*s - 1. Let r(y) = 4*y**2 - 33*y + 5. Let l(u) = 5*u**2 - 36*u + 7. Let b(n) = 3*l(n) - 4*r(n). Let f(h) = b(h) + 6*d(h). Factor f(g).
-(g - 5)*(g - 1)
Suppose -116 - 8 = -44*z + 96. Factor -2/3 - 2/3*s - 2/3*s**4 + 4/3*s**2 + 4/3*s**3 - 2/3*s**z.
-2*(s - 1)**2*(s + 1)**3/3
Let z be (-620)/(-744) - (-13)/2. Let b(x) be the second derivative of 7/10*x**5 - 26*x + 0 - z*x**3 - 8*x**2 + 23/6*x**4. Let b(c) = 0. What is c?
-4, -2/7, 1
Let u(l) be the second derivative of 0 + 361/15*l**2 - 38/45*l**3 + 1/90*l**4 + 201*l. Let u(f) = 0. What is f?
19
Find b, given that -340/3 - 18*b - 2/3*b**2 = 0.
-17, -10
Suppose -82 = 1222*m - 2436*m + 1195*m - 25. Factor -6/5 + 2/5*i**m + 6/5*i**2 - 2/5*i.
2*(i - 1)*(i + 1)*(i + 3)/5
Let g(f) = -f**3 + f**2 - f - 1. Suppose 89 + 11 = -4*r. Let l(b) = 5*b**4 - 25*b**3 + 20*b**2 - 25*b - 25. Let c(d) = r*g(d) + l(d). Factor c(x).
5*x**2*(x - 1)*(x + 1)
Let u(c) = -c**2 - 2*c + 2. Let b be u(0). Suppose -s + 2*s - b = 0. Factor 0 + 2 - 1 - n**3 + 4*n**s + 1 - 5*n.
-(n - 2)*(n - 1)**2
Let q(y) = -26508*y + 53018. Let r be q(2). Factor -32/3*p + 512/3 + 1/6*p**r.
(p - 32)**2/6
Let m(o) = o + 3 - 2*o - 2*o**2 - 8*o + 2*o. Suppose -2 - 7 = 3*d. Let v(t) = -t**2 - t + 1. Let c(u) = d*v(u) + m(u). Factor c(f).
f*(f - 4)
Let g(l) = -l**2 + 19*l - 76. Let o be g(8). Factor -44*v + 67*v**2 + o - 64*v**2 + 59*v.
3*(v + 1)*(v + 4)
Let q(p) be the first derivative of p**6/45 + p**5/5 - 32*p**3/9 + 25*p + 54. Let k(t) be the first derivative of q(t). Factor k(w).
2*w*(w - 2)*(w + 4)**2/3
Suppose -v + 5*t + 17 = 0, -3*v - t - 1 + 4 = 0. Suppose 1003 = v*r - 201. Determine p, given that 122*p - 210 - 9*p**3 - r*p - 330 + 156 + 138*p**2 = 0.
-2/3, 8
Let k(r) = 9*r**2 - 789*r + 15. Let w(g) = -4*g**2 + 394*g - 6. Let o(z) = 2*k(z) + 5*w(z). Factor o(v).
-2*v*(v - 196)
Let m = 704 - 700. Let d be 4/(-14) + 80/35. Find k such that -k**2 - 9*k**3 - d + 5*k**m + 2*k**3 + 8*k + 2*k**5 - 2 - 3*k**5 = 0.
-1, 1, 2
Let j(n) = n**3 - 16*n**2 + 33*n + 251. Let z be j(8). Determine h, given that -46/3*h**2 - 200/9 - 2/9*h**4 - 28/9*h**z - 280/9*h = 0.
-5, -2
Let t be (-27 - -47) + (-192)/28. Determine x, given that t - 2/7*x**2 + 90/7*x = 0.
-1, 46
Let u(j) be the first derivative of -j**3/2 - 159*j**2/2 + 1740*j - 4534. Factor u(t).
-3*(t - 10)*(t + 116)/2
Let n(y) = -y**4 - y**3 + 7*y**2 - y + 2. Let r(t) = t**4 + 8*t**3 - 15*t**2 - 22*t + 16. Let d(w) = -2*n(w) - r(w). What is i in d(i) = 0?
-2, 1, 2, 5
Let t(d) be the third derivative of 9*d**2 - 1/80*d**5 + 5*d + 11/16*d**4 + 0 - 121/8*d**3. Factor t(i).
-3*(i - 11)**2/4
Let y = 23/53217 + 473017/53217. Factor y + 2/9*s**3 - 14/3*s**2 + 4*s.
2*(s - 20)*(s - 2)*(s + 1)/9
Let q = -936884 + 936898. What is a in 46*a**2 + 3 + 41/2*a + 85/2*a**3 + q*a**4 = 0?
-1, -3/4, -2/7
Let l(z) be the first derivative of -2*z**3 - 6*z - 25 + 1/4*z**4 + 11/2*z**2. Solve l(d) = 0.
1, 2, 3
Let -m**3 + 317/4*m**2 - 79/4*m + 0 = 0. Calculate m.
0, 1/4, 79
Let g(s) = -6*s + 122. Let w be g(20). Factor 2*y**3 + 10*y**w + 6*y - 5*y + 10*y - 6*y + 3*y**3.
5*y*(y + 1)**2
Let u(o) = 3*o**2 + 45*o - 1. Let p be u(-15). Let c(h) = 8*h**2 + 8*h + 4. Let l be c(p). Factor -80/7*y**2 - 24/7*y**3 + 4/7*y**5 + 8/7*y**l - 76/7*y - 24/7.
4*(y - 3)*(y + 1)**3*(y + 2)/7
Let v(w) be the second derivative of w**7/840 - w**6/90 + 18*w**3 - 314*w. Let x(f) be the second derivative of v(f). Factor x(m).
m**2*(m - 4)
Suppose 0 = -343*m + 340*m + 12. Factor -1238*v**3 - 36*v**2 + 6*v - 4*v**m + 48 + 10*v + 1214*v**3.
-4*(v - 1)*(v + 2)**2*(v + 3)
Let g(d) = -d**3 - 10*d**2 - 23*d + 6. Suppose -n = 3*l + 15, -n = -5*l + 11 - 44. Let c be g(l). Let -2/7*o**3 + c + 2/7*o**4 + 0*o**2 + 0*o = 0. Calculate o.
0, 1
Let s(o) be the second derivative of o**6/40 - 281*o**5/80 + 31*o**4/8 + o + 1346. Factor s(g).
g**2*(g - 93)*(3*g - 2)/4
Find x such that 44/5*x + 0 + 62/5*x**2 + 16/5*x**3 - 2/5*x**4 = 0.
-2, -1, 0, 11
Suppose -3*m = 277 - 286. Factor -2*r**2 - 9*r + 3*r**2 - 9 + 355*r**3 - 354*r**m + 0*r**2.
(r - 3)*(r + 1)*(r + 3)
Let o(r) be the third derivative of r**6/45 - 71*r**5/90 + 17*r**4/12 - r**2 - 46*r - 16. Factor o(w).
2*w*(w - 17)*(4*w - 3)/3
Let h(l) be the second derivative of 2*l**3 - 4/5*l**5 - 4/15*l**6 - 47*l + 2/3*l**4 + 0*l**2 + 2/21*l**7 + 0. Find j, given that h(j) = 0.
-1, 0, 1, 3
Suppose -8*t + 53*t - 276 + 96 = 0. Factor -12/7*c**2 + 0 + 0*c - 6/7*c**t - 18/7*c**3.
-6*c**2*(c + 1)*(c + 2)/7
Let k = -24 - -28. Solve 66*d**k + 42*d**4 - 10*d**4 - 35*d**5 + 30*d**3 - 3*d**4 = 0.
-2/7, 0, 3
Let l(o) be the first derivative of -o**5/180 - o**4/36 - o**3/18 + o**2/2 + 11*o + 39. Let k(m) be the second derivative of l(m). Factor k(d).
-(d + 1)**2/3
Let j(a) = 14*a**3 + 920*a**2 + 1535*a - 162. Let x(s) = -7*s**3 - 460*s**2 - 767*s + 106. Let z(q) = -6*j(q) - 14*x(q). Factor z(l).
2*(l + 2)*(l + 64)*(7*l - 2)
Factor 257762/9 + 1436/