**2 + 1/3*w**3 + p*w - 2/3.
(w - 2)*(w - 1)**2/3
Suppose 37*f - 12328 = 2694. Let d = -5276/13 + f. Factor 8/13*t**2 + 0 + d*t.
2*t*(4*t + 1)/13
Suppose 2*w - 8 = 3*b, 3*w - 277 = 3*b - 265. Let z(x) be the third derivative of 0 - 28*x**2 - 81/20*x**5 + 0*x + 9/2*x**w - 2*x**3. Let z(d) = 0. What is d?
2/9
Let c(x) be the second derivative of 19*x**7/63 - 109*x**6/45 + 13*x**5/6 + 25*x**4/18 + 12*x + 454. Determine r so that c(r) = 0.
-5/19, 0, 1, 5
Let 18*d**2 + 994/13*d - 466/13*d**3 + 204/13 + 90/13*d**4 = 0. What is d?
-1, -2/9, 3, 17/5
Let c(x) = -8*x**3 - 40*x**2 - 4*x + 38. Let z(b) = -21*b**3 - 80*b**2 - 9*b + 75. Let p(h) = 10*c(h) - 4*z(h). Find k, given that p(k) = 0.
-1, 1, 20
Let l(h) = 6*h**4 + 12*h**3 + 264*h**2 + 279*h + 42. Let a(o) = -o**4 - 2*o**3 - 53*o**2 - 56*o - 8. Let d(n) = 21*a(n) + 4*l(n). Factor d(j).
3*j*(j - 4)*(j + 1)*(j + 5)
Let h(w) = 40*w**2 - 38*w + 3. Let q(s) = 294*s**2 - 266*s + 22. Let z(p) = -22*h(p) + 3*q(p). Factor z(y).
2*y*(y + 19)
Let u = -76 - -79. Suppose 12*c - 16*c = -u*n, -5*c = n. Factor n*t + 0 - 1/5*t**3 - 1/5*t**4 + 2/5*t**2.
-t**2*(t - 1)*(t + 2)/5
Let x = 4929 - 4923. Let p(g) = 5*g**4 - 2*g**2 + 3*g. Let i(m) = -7*m**4 + 12*m**2 - 17*m - 15*m**4 - 7*m**4. Let k(a) = x*i(a) + 34*p(a). Solve k(c) = 0.
-1, 0, 1
Let u(v) be the first derivative of 3*v**4/20 + 1317*v**3/5 + 1734489*v**2/10 + 253813557*v/5 + 1546. Factor u(f).
3*(f + 439)**3/5
Let q(n) = 70*n**3 - 343*n**2 + 38*n. Let u(a) = 22*a**3 - 114*a**2 + 12*a. Let y(d) = -6*q(d) + 19*u(d). Find m such that y(m) = 0.
-54, 0
Factor -1346*v**3 - 40527*v**2 + 404*v**4 + 2*v**5 + 21340*v**3 + 20808*v - 681*v**2.
2*v*(v - 1)**2*(v + 102)**2
Let u(i) = 2*i**2 - 4*i - 38. Let b be u(6). Find j such that 3*j**2 - j**2 - 8*j + b*j + 3*j**2 - 3*j**3 = 0.
-1/3, 0, 2
Suppose 2*d - 14 = 3*c, 0 = -3*d - 3*c - 2*c + 2. Let q(j) be the first derivative of -1/2*j**d + 10/7*j**2 + 40 + 17/21*j**3 + 4/7*j. Let q(l) = 0. What is l?
-1/2, -2/7, 2
Let m be (-777)/(-35)*45/27. Suppose 0 = -m*b - 26*b + 11*b. Determine f, given that b*f**2 + 0*f - 34/9*f**5 + 0*f**3 - 4/9*f**4 + 0 = 0.
-2/17, 0
Suppose -w + 4*r = -5 - 37, -4*r = 20. Suppose 4*x - 24*d + w*d - 2 = 0, -4*d = 4. Factor 0*l + 6/5*l**3 + 3/5*l**2 + 3/5*l**4 + x.
3*l**2*(l + 1)**2/5
Let z be (-32)/(-3840)*((-92)/(-24) + -3). Let b(v) be the second derivative of 0 + 1/18*v**3 - z*v**4 + 16*v + 5/24*v**2. Find y, given that b(y) = 0.
-1, 5
Suppose -5*c - 4*h = -131240, 0*c + 5*c - 131235 = -3*h. Suppose c + 149*u + 104*u + 57*u - 18*u + 4*u**2 + 356*u = 0. What is u?
-81
Let k(l) be the second derivative of -4 - 7*l + 1/165*l**6 + 0*l**3 + 1/110*l**5 + 0*l**4 + 0*l**2. Factor k(h).
2*h**3*(h + 1)/11
Let c be (-84945)/25*2*7/42. Let s = 1135 + c. Let 8/5*r + 6/5*r**3 + s*r**2 + 0 + 1/5*r**4 = 0. What is r?
-2, 0
Let w = -1924/7 + 7717/28. Suppose -m = 2*m - 6. Factor -3/2 + w*v**m + 3/4*v.
3*(v - 1)*(v + 2)/4
Let h(u) = 6*u**3 + 35*u**2 + 19*u. Let f = 1488 - 1483. Let k(q) = -29*q + 59*q**2 - 182*q**2 - 21*q**3 - 37*q. Let i(b) = f*k(b) + 18*h(b). Factor i(g).
3*g*(g + 1)*(g + 4)
Suppose 0 = -p + 8965*o - 8969*o + 31, 0 = 2*p - 4*o - 86. Factor p*m**2 + 147/2*m + 36 + 3/2*m**3.
3*(m + 1)**2*(m + 24)/2
Let q(w) be the third derivative of w**6/200 + w**5/50 - 31*w**4/40 + 14*w**3/5 - 11*w**2 - 52. Factor q(f).
3*(f - 4)*(f - 1)*(f + 7)/5
Let n be 25/(10500/(-96)) + 4 + (-26)/7. Let c(h) be the first derivative of n*h**5 + 0*h**3 + 0*h + 0*h**2 - 1/42*h**6 - 35 - 1/28*h**4. Factor c(b).
-b**3*(b - 1)**2/7
Let k = 680442 + -680439. Let 1/4*u**k + 21/2*u**2 + 120*u + 200 = 0. Calculate u.
-20, -2
Let i be (-3)/(-1) - (3 + -4). Factor 11*g**i + 8087 - 27208*g**2 + 4332*g - 4*g**5 - 36*g**4 - 203*g**4 + 19349 - 4328*g**3.
-4*(g - 1)*(g + 1)*(g + 19)**3
Let y(i) = 190*i**3 - 306*i**2 - 710*i + 1086. Let b(o) = 22*o**3 - 34*o**2 - 79*o + 121. Let n(q) = -52*b(q) + 6*y(q). Factor n(v).
-4*(v - 1)*(v + 4)*(v + 14)
Suppose 31*y - 5*h = 29*y + 30, h = -3*y + 11. Let i(l) be the second derivative of -3/4*l**y + 0*l**3 + 0*l**2 + 1/6*l**6 + 0 + 5/6*l**4 + 7*l. Factor i(t).
5*t**2*(t - 2)*(t - 1)
Let i(l) = 16*l**2 + 80*l - 348. Let k(x) = 15*x**2 + 69*x - 349. Let m(g) = 11*i(g) - 12*k(g). Factor m(f).
-4*(f - 18)*(f + 5)
Let k(i) be the second derivative of i**6/135 - 28*i**5/15 + 392*i**4/3 - 1072*i. Suppose k(h) = 0. Calculate h.
0, 84
Factor 71/7*u + 3/7*u**2 + 46/7 - 23/7*u**3 - 1/7*u**4.
-(u - 2)*(u + 1)**2*(u + 23)/7
Let n(a) = -65*a**2 - 1317*a + 85812. Let f(g) = -55*g**2 - 1316*g + 85811. Let c(d) = -7*f(d) + 6*n(d). Solve c(t) = 0 for t.
131
Let h(i) be the third derivative of 0*i**3 + 92*i**2 + 0*i - 3/4*i**4 + 0 + 3/20*i**6 - 1/70*i**7 + 1/20*i**5. Factor h(t).
-3*t*(t - 6)*(t - 1)*(t + 1)
Let t(x) be the third derivative of 0*x + 132*x**2 + 0*x**4 - 2/105*x**7 + 0 - 1/30*x**6 + 1/84*x**8 + 0*x**3 + 1/15*x**5. Factor t(w).
4*w**2*(w - 1)**2*(w + 1)
Let s(n) be the third derivative of n**7/3780 - n**6/1620 - 9*n**3/2 + 7*n**2 + 4. Let p(d) be the first derivative of s(d). Factor p(w).
2*w**2*(w - 1)/9
Let r(t) be the first derivative of 8/9*t**3 + 1/90*t**5 + 1/4*t**4 + 19*t**2 - 6 + 0*t. Let w(a) be the second derivative of r(a). Find n such that w(n) = 0.
-8, -1
Let k = -3/5197 - -5224/46773. Let y(x) be the first derivative of -4 + k*x**4 + 2/9*x - 2/9*x**2 - 2/45*x**5 + 0*x**3. Find s, given that y(s) = 0.
-1, 1
Let d = -960395/3 + 320132. Factor d*m**5 + 0*m - 1/3*m**3 - m**4 + m**2 + 0.
m**2*(m - 3)*(m - 1)*(m + 1)/3
Let v(l) = -l**3 + l**2 - l. Let q be (-6)/(-8) - (-146)/8. Let i(u) = -10*u - q*u + 14*u - 8*u**3 + 2*u**2 - 4. Let k(n) = -3*i(n) + 21*v(n). Factor k(x).
3*(x + 1)*(x + 2)**2
Solve 768 + 0*o**4 + 1/3*o**5 - 976*o - 56*o**3 + 1216/3*o**2 = 0.
-16, 2, 6
Let z be ((-406140)/(-50284))/(6/91). Factor z - 15*t**2 + 105/4*t + 5/4*t**3.
5*(t - 7)**2*(t + 2)/4
Determine v so that 27/4*v**2 + 3/4*v**3 - 1155/4 - 171/4*v = 0.
-11, -5, 7
Suppose 37*j + 6 + 0 = 6. Let b(s) be the third derivative of 0*s + 0 + j*s**5 - 1/330*s**6 + 1/66*s**4 - 1/1155*s**7 + 21*s**2 + 1/33*s**3. Factor b(x).
-2*(x - 1)*(x + 1)**3/11
Let l = -245314 + 490633/2. Factor -l*p**2 + 0 - 3*p - 1/2*p**3.
-p*(p + 2)*(p + 3)/2
Let a(j) = 4*j**2 + 36*j - 36. Let i be a(1). Let t be (-11)/i + 6 + -2. Solve m**2 + t*m + 1/4 = 0 for m.
-1, -1/4
Let -1/5*m**2 + 12/5*m + 17 = 0. What is m?
-5, 17
Let s(j) be the first derivative of -3*j**4/16 - 23*j**3/4 - 93*j**2/4 - 30*j - 782. Factor s(f).
-3*(f + 1)*(f + 2)*(f + 20)/4
Let y = -485281 - -485281. Factor y*r + 2/7*r**4 + 0 + 0*r**2 + 6/7*r**3.
2*r**3*(r + 3)/7
Solve 3*k - 1/3*k**2 + 0 = 0.
0, 9
Suppose -2*x = -2 - 6, -31*h - 2*x + 20 = -27*h. Factor -1024/7*b - 4/7*b**5 + 512/7 - 304/7*b**h + 800/7*b**2 + 8*b**4.
-4*(b - 4)**2*(b - 2)**3/7
Let j(k) = 2*k**2 - 140*k - 1963. Let q be j(-12). Solve 0 + 2/5*s**q + 0*s + 8/5*s**3 - 8/5*s**4 + 0*s**2 = 0.
0, 2
Let z(w) be the first derivative of 5*w**6/24 + w**5/10 - 11*w**4/16 - 2*w**3/3 - 3435. Suppose z(u) = 0. What is u?
-1, 0, 8/5
Let u(a) = 7*a - 130. Let k be u(16). Let j be 6/(-25)*10/k. Let 0 - 4/15*w + 2/5*w**2 - j*w**3 = 0. Calculate w.
0, 1, 2
Let x(o) = -284*o + 15620. Let z be x(55). Factor 22/15*v + z + 2/15*v**2.
2*v*(v + 11)/15
Let q = 5 - 7. Let j(i) = -i**2 + i - 1. Let a(c) = -2*c**2 - 2*c + 2. Suppose -31*h = -36*h - 5. Let k(u) = h*a(u) + q*j(u). Find m, given that k(m) = 0.
0
Let -399/2*v + 30*v**2 - 3/2*v**3 + 441 = 0. What is v?
6, 7
Let t = -23 + 42. Let w = 23 - t. Determine a, given that 13*a**2 - 10*a**3 - w*a**2 + 3*a**4 - 2*a**4 + 16*a**2 = 0.
0, 5
Factor -165*v - 124/3 + 4/3*v**2.
(v - 124)*(4*v + 1)/3
Let g(v) be the first derivative of -v**4/26 - 734*v**3/13 - 23184*v**2 + 1828224*v/13 + 2391. Find u such that g(u) = 0.
-552, 3
Let i(o) be the third derivative of -o**8/672 - 5*o**7/84 - 23*o**6/48 + 101*o**5/24 - 35*o**4/3 + 49*o**3/3 + 5*o**2 - 31*o. Find t, given that i(t) = 0.
-14, 1
Let b(h) be the third derivative of 5*h**8/1008 + 73*h**7/280 - 781*h**6/1440 + h**5/20 + 17*h**4/72 + 3*h**2 + 371*h. Determine d so that b(d) = 0.
-34, -1/4, 0, 2/5, 1
Let j = -2903567/2 - -1453201. Factor 1377*p**2 - 375/4*p**5 + 2475/4*p**4 + 0 - 486*p - j*p**3.
-3*p*(p - 3)*(5*p - 6)**3/4
Suppose 27*t + 50 = 6