*5. Factor v(a).
a**3*(a + 1)*(7*a + 2)/3
Let k(m) = -2*m**3 + 4*m**2 + 29*m - m**4 + 5*m**3 - 34*m + m**5 - 5*m**5. Let j(y) = -5*y**5 + 2*y**3 + 4*y**2 - 5*y. Let n(x) = 3*j(x) - 4*k(x). Factor n(w).
w*(w - 1)**2*(w + 1)*(w + 5)
Let x(r) = r**3 - 10*r**2 - r + 14. Let n(s) = 3*s - 49. Let u be n(15). Let g(w) = -w**2 + 2*w. Let k(t) = u*g(t) + x(t). Determine l, given that k(l) = 0.
-2, 1, 7
Suppose 4*n = -l + 17, -l + 7 + 2 = 2*n. Suppose 2*k + 6085 = -4*u + 6083, k + 5 = -u. Determine h so that -10/3*h**2 + n*h**u - 2/3 - 10/3*h**3 + 10/3*h = 0.
-1, 1/3, 1/2, 1
Factor 1/2*a**4 - 180*a**2 + 23*a**3 - 265/2 + 289*a.
(a - 5)*(a - 1)**2*(a + 53)/2
Let c(u) be the third derivative of 2 - 7/40*u**4 - 1/100*u**5 + u**2 + 0*u - 6/5*u**3. Determine l, given that c(l) = 0.
-4, -3
Let i(l) be the second derivative of l**5/130 + 19*l**4/78 - 89*l**3/39 + 69*l**2/13 - 5005*l. Factor i(h).
2*(h - 3)*(h - 1)*(h + 23)/13
Let c = 108/14143 + 338892/70715. Solve -32/5 + c*b - 4/5*b**2 = 0.
2, 4
Suppose -1970*r + 649*r + 3963 = 0. Factor 12*s**r + 3/2*s**4 - 12*s + 0 - 3/2*s**2.
3*s*(s - 1)*(s + 1)*(s + 8)/2
Let w(d) be the second derivative of -7*d**5/5 + 57*d**4 + 200*d**3/3 + 177*d. Factor w(t).
-4*t*(t - 25)*(7*t + 4)
Let z(n) be the first derivative of -151 - 1/20*n**4 - 4/5*n**3 + 16/5*n + 1/25*n**5 - 2/5*n**2. Factor z(s).
(s - 4)*(s - 1)*(s + 2)**2/5
Let l(d) be the first derivative of -7*d**6/3 + 12*d**5 + 125*d**4/2 + 40*d**3 - 28*d**2 + 1195. Find x such that l(x) = 0.
-2, -1, 0, 2/7, 7
Let t(p) be the first derivative of -p**3/21 - 123*p**2/7 + 247*p/7 - 4125. Factor t(u).
-(u - 1)*(u + 247)/7
Factor -544/3 - 1744/9*v - 110/9*v**2 + 2/9*v**3.
2*(v - 68)*(v + 1)*(v + 12)/9
Let y be (-33)/21 + 3 + 824/(-721). Factor -2/7*g**4 + y*g**2 - 2/7*g**5 - 16/7*g + 8/7 + 10/7*g**3.
-2*(g - 1)**3*(g + 2)**2/7
Solve -302/3*a**3 + 0 - 1460/3*a**2 + 128*a - 8/3*a**4 = 0 for a.
-32, -6, 0, 1/4
Let n be (-12)/((-735)/(-3960) - 1/8). Let g be (9 - -1)*(n/(-15) - 13). Find u, given that -14/5*u**2 - 2/5*u**4 + 0 - g*u**3 - 6/5*u = 0.
-3, -1, 0
Let r(w) = -5*w**3 + 41*w**2 + 401*w + 351. Let o(h) = 37*h**3 - 286*h**2 - 2807*h - 2454. Let x(k) = -2*o(k) - 15*r(k). Suppose x(i) = 0. What is i?
-7, -1, 51
Let s be 3/7 + 55/35. Find a, given that 117 + 5*a**s - 4*a - 14*a - 46*a - 17 + 4*a = 0.
2, 10
Factor -3/2*h**3 - 1291106625/2 - 5130225/2*h - 6795/2*h**2.
-3*(h + 755)**3/2
Suppose 0 = 3*d - 2*r, -2*r - 452 = -d - 456. Let a(o) be the third derivative of -o**4 + 12*o**d + 1/5*o**5 - 1/60*o**6 + 0*o + 8/3*o**3 + 0. Factor a(f).
-2*(f - 2)**3
Suppose 2192*b = 2203*b - 33. Suppose 0 = -3*w - b, -3*w + 3 = t - 4*w. Factor 3/4*f**t - 27/4 + 6*f.
3*(f - 1)*(f + 9)/4
Let r = 275365 - 2202917/8. Factor -r*p**3 + 51/4 + 12*p**2 + 201/8*p.
-3*(p - 34)*(p + 1)**2/8
Let v = -631517 + 631517. Determine q, given that 3/2*q**2 - 5/4*q - 1/4*q**3 + v = 0.
0, 1, 5
Let r = -1193 - -1196. Let t(u) = -u**2 - 9*u. Let n(a) = -a. Let g(y) = 4*y**2 + 31*y. Let k(b) = -g(b) - 3*n(b). Let l(j) = r*k(j) - 10*t(j). Factor l(d).
-2*d*(d - 3)
Let p = 51540 - 51535. Factor -2/13*j**p + 0 - 2/13*j**4 + 2/13*j**3 + 0*j + 2/13*j**2.
-2*j**2*(j - 1)*(j + 1)**2/13
Suppose 93/7*l**3 + 1/7*l**5 - 234/7*l + 23*l**2 + 0 - 3*l**4 = 0. What is l?
-2, 0, 1, 9, 13
Let x(m) = 20*m**4 - 8*m**3 + 10*m**2 - 86*m + 86. Let f(j) = j**4 - j**3 + j**2 - j + 1. Let a(z) = 44*f(z) - 2*x(z). Factor a(v).
4*(v - 4)**2*(v - 1)*(v + 2)
Let l(s) be the third derivative of -2*s**7/105 - 3*s**6/10 + 23*s**5/15 + 3*s**4/2 - 44*s**3/3 + 57*s**2 + 2. Determine d, given that l(d) = 0.
-11, -1, 1, 2
Let o(m) be the first derivative of 2*m**3/3 - 190*m**2 + 1122*m - 539. Factor o(z).
2*(z - 187)*(z - 3)
Solve 32*z**3 - 17*z**3 + 2920 - z**4 - 2920 - 180*z - 29*z**3 + 111*z**2 = 0 for z.
-20, 0, 3
Let w be -12 + -12 + (-28930)/(-1200). Let s(q) be the third derivative of 1/600*q**6 + 0 + 0*q - 1/5*q**3 - 25*q**2 - 2/75*q**5 + w*q**4. Factor s(i).
(i - 6)*(i - 1)**2/5
Let o(u) be the third derivative of -1/70*u**7 + 0*u + 1/3*u**4 + 49*u**2 + 0*u**3 + 1/5*u**5 - 1/336*u**8 + 0 + 1/60*u**6. Solve o(c) = 0 for c.
-2, -1, 0, 2
Let x(h) be the first derivative of h**4/4 + 11*h**3/3 - 38*h**2 + 64*h + 13443. Suppose x(y) = 0. Calculate y.
-16, 1, 4
Let n be (-28)/(-50)*1170/819. Factor -8/5*i**2 + n*i + 0 - 1/5*i**4 + i**3.
-i*(i - 2)**2*(i - 1)/5
Let d(m) = 6*m**2 + 855*m - 5415. Let s(x) = x**2 + 214*x - 1355. Let u(t) = 2*d(t) - 9*s(t). Find j such that u(j) = 0.
7, 65
Let q = 223 + -150. Factor 3*t**2 - 73 - 21*t + q.
3*t*(t - 7)
Let u(t) be the first derivative of 31/28*t**4 + 0*t + 184 - 8/7*t**2 + 8/3*t**3 + 4/35*t**5. Find w, given that u(w) = 0.
-4, 0, 1/4
Let a(b) be the third derivative of -b**8/294 - 41*b**7/735 - 71*b**6/210 - 209*b**5/210 - 31*b**4/21 - 20*b**3/21 + 81*b**2 + 4*b. Let a(q) = 0. Calculate q.
-5, -2, -1, -1/4
Suppose -60*u - 21/2*u**2 - 1/2*u**3 - 50 = 0. Calculate u.
-10, -1
Let r(l) be the second derivative of -l**4/18 + 5*l**3/3 + 16*l**2/3 + 1525*l. Find h, given that r(h) = 0.
-1, 16
Let y(z) = 7*z - 3. Let f be y(1). Let g be -3*(-36)/16 - (-129)/(-172). Determine q, given that -g*q**2 - 1/2*q**5 - 2*q - 13/2*q**3 - 3*q**f + 0 = 0.
-2, -1, 0
Suppose 3*n**2 - 100*n - 1060 - 563*n + 394 = 0. What is n?
-1, 222
Let j be ((-118921)/190)/(2/(-4)) + 7. Let x = 1266 - j. Solve -x*a**2 - 2*a**3 - 24/5*a + 16/5 = 0 for a.
-2, 2/5
Let n = 256398/7 - 36481. Let z = n - 147. Solve 1/7*y + z*y**2 + 0 + 1/7*y**3 = 0.
-1, 0
Factor -240 - 21/5*x**2 - 4206/5*x.
-3*(x + 200)*(7*x + 2)/5
Factor 3*w**2 + 79/6*w + 14/3.
(w + 4)*(18*w + 7)/6
Let p(s) be the first derivative of -2*s**5/5 - 7*s**4 - 8*s**3 + 14*s**2 + 26*s - 498. Suppose p(l) = 0. What is l?
-13, -1, 1
Let j(x) = -2*x - 26. Let v be j(-16). Let l(t) = t**3 - 6*t**2 + t + 3. Let s be l(6). Suppose -v - k**2 - 1 + 0 + s - k = 0. Calculate k.
-2, 1
Let o(w) = w**3 + 27*w**2 - 64*w + 42. Let x(h) = -2*h**3 - 52*h**2 + 126*h - 83. Let p(u) = -11*o(u) - 6*x(u). Suppose p(k) = 0. Calculate k.
-18, 1, 2
Let k(v) be the first derivative of -v**6/6 - 6*v**5/5 - 9*v**4/4 + 4*v**3/3 + 6*v**2 + 485. Factor k(j).
-j*(j - 1)*(j + 2)**2*(j + 3)
Let k(b) = -46*b**3 + 2*b**2 - 2. Let z be k(-1). Suppose -28*r = -z*r. Factor 0 - 1/3*y**5 + r*y**4 + 0*y + 1/3*y**3 + 0*y**2.
-y**3*(y - 1)*(y + 1)/3
Suppose 255 - 169 = -416*w + 2903 + 2175. Determine z so that -100/3 - 4/3*z**3 + w*z**2 - 20*z = 0.
-1, 5
Let o(k) be the first derivative of -4*k**3/3 + 68*k**2 - 672*k - 1189. Factor o(i).
-4*(i - 28)*(i - 6)
Suppose -1152/7 - 24/7*j**4 + 1/7*j**5 + 213/7*j**3 - 866/7*j**2 + 1632/7*j = 0. Calculate j.
2, 3, 8
Let h be (-144)/126*924/(-440). Solve -h*o**2 + 48/5*o + 1/5*o**3 - 64/5 = 0 for o.
4
Let z(t) = 6*t**3 + 3*t**2 - 8*t - 3. Suppose -26*u - 18 = -8*u. Let i(d) = d**3 - d**2 + d + 1. Let q(b) = u*i(b) - z(b). Factor q(l).
-(l - 1)*(l + 1)*(7*l + 2)
Let l be (-2472)/(-24) + 2/2 + -4. Suppose 0 = -5*d + 5*g + l, -4*d - 6*g + 3*g = -45. Factor -4*w**3 + 3*w**2 + 3*w**4 + 9*w + 10*w**3 - d*w**3 - 6.
3*(w - 2)*(w - 1)**2*(w + 1)
Let p be (3 - (-17 - -12) - (5 - 18/(-6))) + 2. Factor 1/2*l**4 - 2*l**p + l - l**3 + 3/2.
(l - 3)*(l - 1)*(l + 1)**2/2
Let s(x) = x**3 - 449*x**2 - 943*x - 463. Let n(c) = 3*c**3 - 1349*c**2 - 2826*c - 1389. Let o(p) = 6*n(p) - 17*s(p). Factor o(b).
(b - 463)*(b + 1)**2
Let d(j) be the first derivative of -5*j**4/4 - 65*j**3/3 + 450*j**2 - 1980*j + 1440. Find q, given that d(q) = 0.
-22, 3, 6
Let o = -408 - -410. Solve 8 + 4 - 12 + 2*l**o + 26*l = 0.
-13, 0
Let n(c) = c**2 + 19*c - 25. Let j = -6 - -9. Let m(r) = r**2 + 12*r - 13. Let q(d) = -d. Let g(w) = -m(w) - 3*q(w). Let b(i) = j*n(i) + 5*g(i). Factor b(a).
-2*(a - 5)*(a - 1)
Suppose -i = -3*b + 2, -4 = -3*i + i - 2*b. Solve -5 - 9*d - 11 - d**2 + 1 + i = 0.
-7, -2
Suppose 3*y + 131160 - 131166 = 0. Factor 1/2*a**3 - 3*a**y - 1/2*a + 3.
(a - 6)*(a - 1)*(a + 1)/2
Let i(d) = -2*d**2 + 28*d - 22. Let y be i(13). Factor 22*z**2 + 3*z**4 + 6*z**3 + 15*z**3 - y*z**2.
3*z**2*(z + 1)*(z + 6)
Suppose 0 = 58*o + 179 - 2093. Let s be (-984)/(-1056) - (-3)/(o/(-2)). Factor -s*k + 1/4*k**2 + 1/2.
(k - 2)*(k - 1)/4
Suppose -7*t - 8 = -2*x - 4*t, -5*t - 14 = -4*x. Let s be x + 2*(-2)/(-4)*-1. Suppose 0 - 1/4*r**3