*2.
-(n - 1)*(3*n - 1)*(69*n - 1)
Suppose -672*i + 698*i = -534*i - 1818*i. Factor 4/9*t + 32/9*t**3 + 22/9*t**2 + 14/9*t**4 + i.
2*t*(t + 1)**2*(7*t + 2)/9
Suppose 0 = -69*m - 141 + 693. Let w be -28*(-13)/(-52)*m/(-14). Solve -43/5*k**2 + 71/5*k**w - 7*k**5 - 11/5*k**3 + 8/5 + 2*k = 0 for k.
-4/7, -2/5, 1
Let k(s) be the third derivative of -s**6/300 + 29*s**5/150 + 31*s**4/30 + 1720*s**2. Factor k(g).
-2*g*(g - 31)*(g + 2)/5
Let j(x) be the first derivative of 1/10*x**4 + 0*x + 0*x**2 + 6/25*x**5 + 0*x**3 + 163. Factor j(d).
2*d**3*(3*d + 1)/5
Factor -102*h - 241*h + 22*h + 360*h**2 - 34*h - 5*h**3.
-5*h*(h - 71)*(h - 1)
Let u be (-49 + 47)/((-22)/55) + -3. Factor 0 - 1/2*n - 1/2*n**u.
-n*(n + 1)/2
Let t(u) be the first derivative of -u**8/5040 + u**7/1260 - u**3/3 - 6*u**2 + 16. Let w(n) be the third derivative of t(n). Determine z, given that w(z) = 0.
0, 2
Let h(w) be the third derivative of w**5/54 - 242*w**4/27 - 388*w**3/27 - 761*w**2. Factor h(n).
2*(n - 194)*(5*n + 2)/9
Let d(a) = 175*a + 22*a**2 - 344 + 9*a**3 + 644 - 2*a**3. Let p(t) = t**3 - 2*t**2 + t. Let f(c) = -d(c) + 5*p(c). Factor f(m).
-2*(m + 5)**2*(m + 6)
Let j(w) be the first derivative of 0*w - 3*w**5 + 5/6*w**6 - 160 + 0*w**2 + 0*w**3 + 5/2*w**4. Let j(u) = 0. Calculate u.
0, 1, 2
Let -5*w**5 + 515*w**4 - 450*w**4 - 179*w**3 + 69*w**3 = 0. What is w?
0, 2, 11
Let r(l) be the second derivative of 1/70*l**5 + 34*l + 0*l**2 - 1 + 1/14*l**4 + 2/21*l**3. Factor r(p).
2*p*(p + 1)*(p + 2)/7
Let a(c) be the first derivative of -4/5*c**5 + 22 + 8*c**2 - 32/3*c**3 + 0*c + 5*c**4. Determine l so that a(l) = 0.
0, 1, 2
Suppose 929 = 3*z - 2*x - 0*x, -4*z = -5*x - 1234. Solve 3*j - 113*j**4 + 21*j**3 + j + z*j**4 - 149*j**4 - 24*j**2 = 0.
-1, 0, 2/7
Let l(k) be the second derivative of k**7/231 - 94*k**6/33 + 54753*k**5/110 + 55460*k**4/33 + 55696*k**3/33 + 384*k. Factor l(b).
2*b*(b - 236)**2*(b + 1)**2/11
Let b(g) = 2*g**2 - g + 1. Let f(q) = 4*q**3 + 398*q**2 + 12157*q + 115203. Let z(a) = -3*b(a) + f(a). Factor z(m).
4*(m + 18)*(m + 40)**2
Factor 693*u - 1 + 977*u - 5*u**2 + 1 - 230*u.
-5*u*(u - 288)
Solve 400*d - 1996/5 - 4/5*d**2 = 0.
1, 499
Factor 4*h**2 - 8549*h + 8849*h - 1 - 1 + 2.
4*h*(h + 75)
Let v = -461939/60 + 7699. Let x(d) be the third derivative of 0 + 19*d**2 + 0*d - 1/60*d**4 + 4/75*d**5 - 2/15*d**3 - v*d**6. Determine b, given that x(b) = 0.
-2/5, 1
Let x(q) be the first derivative of -q**4/10 - 14*q**3/15 + 28*q**2/5 - 8*q - 4313. Suppose x(i) = 0. Calculate i.
-10, 1, 2
Find m, given that 1019*m**2 - m**3 - 143345*m - 62119*m - 260100 - 53616*m = 0.
-1, 510
Let z(s) = -5*s**3 - 36*s**2 + 59*s + 90. Suppose 42*k = -11 - 157. Let g(h) = 15*h**3 + 109*h**2 - 176*h - 270. Let r(t) = k*g(t) - 11*z(t). Factor r(j).
-5*(j - 2)*(j + 1)*(j + 9)
Let g(a) be the third derivative of -a**5/15 + 149*a**4/6 - 480*a**3 + 11*a**2 - 140. Factor g(u).
-4*(u - 144)*(u - 5)
Let b(u) be the third derivative of -u**5/12 - 565*u**4/24 - 1090*u**3/3 + 1998*u**2. What is r in b(r) = 0?
-109, -4
Solve -1/2*u**4 - 19/2*u**3 + 114*u**2 + 224 - 328*u = 0.
-28, 1, 4
Let g(r) = r**4 - 2*r**3 - r**2 - r - 1. Let a(d) = -2*d**4 - 41*d**3 + 94*d**2 - 42*d + 3. Let x(h) = a(h) + 3*g(h). What is i in x(i) = 0?
0, 1, 45
Let a(j) = -j + 12. Let s(b) = -b**2 - 853*b + 843. Let k(z) = -3*a(z) - 3*s(z). Let k(c) = 0. What is c?
-855, 1
Factor -1701/5*p**2 - 339 - 3393/5*p - 3/5*p**3.
-3*(p + 1)**2*(p + 565)/5
Suppose z + 3*v - 29 = 0, 1 - 6 = -v. Suppose 5*h = -c + 35 + z, 2*c - 8 = -h. Solve 6 - 21*w**2 + h + 17*w**2 = 0 for w.
-2, 2
Let m(n) be the first derivative of n**3/4 - 585*n**2/4 - 1210. Find p such that m(p) = 0.
0, 390
Factor 168 + 1678/5*h + 836/5*h**2 - 2/5*h**3.
-2*(h - 420)*(h + 1)**2/5
Let a be (10/(-20))/((-1)/16). Suppose -12*h + a = -8*h. Factor 239*y**4 + 0*y**h - 24*y**3 + 3*y**2 + 6*y - 224*y**4.
3*y*(y - 1)**2*(5*y + 2)
Let i(v) be the first derivative of -113 + 24*v + 58*v**2 - 10*v**4 - 28/3*v**3. Suppose i(j) = 0. What is j?
-2, -1/5, 3/2
Let p = 162263 + -162261. Let f = -1/33 - -79/429. Factor f*o**p - 4/13*o + 2/13.
2*(o - 1)**2/13
Let c = 305893 - 2141219/7. Solve -c - 914/7*n**3 - 304/7*n - 304/7*n**4 - 32/7*n**5 - 914/7*n**2 = 0.
-4, -1, -1/4
Let 135*l**3 + 38617 - 38617 - 5*l**4 + 145*l + 285*l**2 = 0. What is l?
-1, 0, 29
Let z be (24/(-11) + 42/231)*2. Let q(i) = -3*i**2 + 35*i - 56. Let a(n) = -2*n - 1. Let u(p) = z*a(p) - q(p). Factor u(o).
3*(o - 5)*(o - 4)
Suppose 18 = 5*z + 8. Suppose 3*l - 21 = -3*w, -l - 3*w = -0*w - 15. What is t in z*t**2 + 4*t**4 - 5*t**2 - l*t**4 - t + 2*t - t**3 + 2 = 0?
-1, 1, 2
Suppose 0 = -6*t + 4*t + 6. Let m = -7358 + 7360. Let w**t + 2*w**2 + 4*w - 4*w - 5*w**2 + m*w = 0. What is w?
0, 1, 2
Let s(c) be the second derivative of 1/32*c**4 + 0 + 27/16*c**2 - 124*c - 5/8*c**3. Suppose s(j) = 0. What is j?
1, 9
Suppose u = -4*u - 4*c + 144, 100 = 3*u - c. Suppose 5*l - 4*m - 144 = 0, 0 = 5*l + m - 107 - u. What is v in -l + 11 + 4*v**2 + v**2 - 15*v - 33 = 0?
-2, 5
Let g be -1 - 18/(-20) - (-4130)/26550. Let z(h) be the second derivative of g*h**4 + 1/135*h**6 - 2*h + 1/30*h**5 + 0*h**2 + 0 + 1/27*h**3. Factor z(k).
2*k*(k + 1)**3/9
Let i be (3*(-31)/(527/34))/(1 + -4). Solve -3*s**3 + 0 - 3/5*s**4 + 27/5*s - 9/5*s**i = 0.
-3, 0, 1
Let y(z) be the third derivative of z**9/7560 + z**8/3360 - 29*z**4/24 - 63*z**2. Let x(u) be the second derivative of y(u). What is r in x(r) = 0?
-1, 0
Let h(p) = -p**5 - 7*p**4 - 6*p**3 - 2*p**2 - 2. Let t(a) = 1 + 82*a**3 - 83*a**3 - 2*a**4 - a**2 + 3*a**4. Let u(w) = h(w) + 2*t(w). What is z in u(z) = 0?
-2, -1, 0
Let n(m) be the third derivative of m**7/210 + m**6/24 - 19*m**5/60 - 29*m**4/24 + 7*m**3 + 1123*m**2. What is d in n(d) = 0?
-7, -2, 1, 3
Suppose 5*d = 2*g - 119, -5*g + 0*g + d = -309. Let v = -59 + g. Factor -263*m**2 - 64*m**3 + 39*m**2 - v*m**4 - m**4 - 32*m**2.
-4*m**2*(m + 8)**2
Let m(z) be the first derivative of -z**4/4 - 15*z**3/2 + 24*z**2 - 40*z - 35. Let b(l) be the first derivative of m(l). Let b(k) = 0. Calculate k.
-16, 1
Suppose 5*d = 9*d + 4*c - 188, 3*d + 2*c = 140. Suppose -d = -18*j + 98. Factor 12*i + j*i**2 + 9/2.
(4*i + 3)**2/2
Let m(h) = -5*h**4 + 60*h**3 - 199*h**2 + 168. Let l(f) = 7*f**4 - 84*f**3 + 279*f**2 - f - 235. Let o(s) = -12*l(s) - 17*m(s). Suppose o(d) = 0. What is d?
-1, 1, 6
Solve -35*j**2 + 67/2*j + 69 + 1/2*j**3 = 0.
-1, 2, 69
Let s(a) be the third derivative of -a**6/40 + 897*a**5/10 - 268203*a**4/2 + 106923596*a**3 - 2*a**2 + 96*a. Let s(r) = 0. Calculate r.
598
Let a be 4 + -7 + (4 - (-21720)/(-154)). Let u = a + 1542/11. Solve u*l**3 - 2/7*l**2 - 3/7*l + 0 = 0.
-1, 0, 3
Let k(i) = 6*i + 1. Let z be k(8). Suppose -61*w - 72 + 194 = 0. Factor -z*o**w - 71*o**2 + 5*o**4 + 10*o + 105*o**2.
5*o*(o - 1)**2*(o + 2)
Solve -451/3*m**2 + 1/3*m**3 - 16875 + 17025*m = 0 for m.
1, 225
Let j be (-7160)/(-15)*(-40)/(-320) + -22. Solve h**4 + 64/3*h**3 - j*h**2 + 0 + 46/3*h = 0 for h.
-23, 0, 2/3, 1
Suppose 2 = 241*z - 240*z. Let 5*f + 17*f - f**z - 18*f - 3 = 0. What is f?
1, 3
Suppose -28 = 4*i - 6*i. Find z, given that -5 + 11*z + 4*z**2 - 9*z + i*z + 21 = 0.
-2
Let c = -161 + 163. Find f such that -6784*f**2 + c*f + f + 6783*f**2 = 0.
0, 3
Let j = 1661556 + -4984666/3. Factor 4/3*w**3 + 0 + 2/3*w**4 - j*w**2 - 4/3*w.
2*w*(w - 1)*(w + 1)*(w + 2)/3
Let u(o) = o**2 - o - 2. Suppose -7*i = -4*i + 6. Let w be u(i). Factor 0*c**5 + 4*c**5 + 4*c**4 + 4 + w*c - 22*c**2 - 8*c**3 + 14*c**2.
4*(c - 1)**2*(c + 1)**3
Let v(j) = -40*j**5 - 35*j**4 + 42*j**3 + 38*j**2 + j - 1. Let t(p) = 2*p**5 - p**4 - 4*p**3 - 2*p**2 - p + 1. Let q(g) = t(g) + v(g). What is o in q(o) = 0?
-1, -18/19, 0, 1
Let j be ((-4161)/(-323) - 10) + 6/51. Let l = 9 - 5. Suppose l*s**2 + 15*s + 13*s**3 - 16*s**j - s**2 + 9 = 0. Calculate s.
-1, 3
Let f(u) be the first derivative of -u**3 + 1/2*u**2 + 2*u + 27. Factor f(z).
-(z - 1)*(3*z + 2)
Let n(u) be the first derivative of u**4/2 - 10*u**3 - 16*u**2 + 1346. Factor n(p).
2*p*(p - 16)*(p + 1)
Let k = -2515836/5 - -503168. Factor 3/5*h**2 - 1/5*h**3 - 12/5 + k*h.
-(h - 3)*(h - 2)*(h + 2)/5
Let o(t) be the first derivative of t**4/2 - 98*t**3/3 - 101*t**2 - 102*t + 7403. Let o(c) = 0. Calculate c.
-1, 51
Determine p so that 702 + 728*p**2 - 702 -