130*u**4 + 30 + 30*u**3 + 25*u**5 - 2*u**5 - 14*u**5 + 26*u**5 = 0.
-3, -1, 2/7, 1
Let u(p) be the first derivative of 129 - 14*p - 2/9*p**3 + 22/3*p**2. Factor u(q).
-2*(q - 21)*(q - 1)/3
Let v(w) be the third derivative of 289*w**7/945 - 10421*w**6/270 + 376993*w**5/270 - 1226*w**4/3 + 48*w**3 + 1296*w**2 + 2*w. Suppose v(y) = 0. Calculate y.
1/17, 36
Let r(z) = -6*z**3 - z**2 - 5*z - 5. Let k be r(-1). Let a be (k + 25/(-10))*8/10. Factor 39/8*u**a - 3/4*u + 0.
3*u*(13*u - 2)/8
Let w = -72 - -61. Let u(z) = 3*z**3 + 4*z**2 + 15*z - 6. Let g(v) = 8*v**3 + 10*v**2 + 44*v - 18. Let y(m) = w*u(m) + 4*g(m). Find p, given that y(p) = 0.
-6, 1
Suppose 27*u - 296 = -215. Let g(h) be the first derivative of 0*h**2 + 1/24*h**4 - 2 - 2/3*h + 1/6*h**u. Factor g(v).
(v - 1)*(v + 2)**2/6
Find p such that 5066 - 2*p - 87*p**2 - 55*p - 60*p - 2568 - 27*p**3 - 3*p**4 - 2552 = 0.
-3, -2, -1
Let r(d) be the third derivative of d**8/756 + 367*d**7/945 + 2851*d**6/90 + 24479*d**5/270 - 8281*d**4/54 - 105*d**2 + 6*d - 2. Suppose r(b) = 0. Calculate b.
-91, -2, 0, 1/2
Let t(o) be the first derivative of 32/5*o**2 - 4/5*o**4 + 16/5*o**3 - 2/5*o**5 + 23 - 32/5*o. Solve t(v) = 0 for v.
-2, 2/5, 2
Let y = -18 - -34. Let h be 2/(0 - (-4)/y). Find m such that 2 - h*m**2 + 22*m**3 + 22*m**3 + 6*m**4 + 4*m - 67*m**3 + 19*m**3 = 0.
-1, -1/3, 1
Factor 2/13*m**2 - 3332/13*m + 1387778/13.
2*(m - 833)**2/13
Let u(g) be the second derivative of -7*g**5/4 - 895*g**4/4 - 315*g**3 + 380*g**2 - 1732*g. Let u(n) = 0. Calculate n.
-76, -1, 2/7
Factor 17*r**2 + 859*r**3 - 451*r**3 + 21*r**4 - 435*r**3 + 36*r - 137*r**2.
3*r*(r - 3)*(r + 2)*(7*r - 2)
Suppose 190 = -0*n + 3*n + 4*x, 0 = -4*n + 3*x + 270. Find s such that 20*s**3 - 6*s**4 + n*s - 283*s - 103*s + 11*s**4 - 80*s**2 = 0.
-4, 0, 4
Let l(s) be the second derivative of s**5/80 - 5*s**4/16 - 17*s**3/12 - 2*s - 52. Determine k so that l(k) = 0.
-2, 0, 17
Let h be ((-52)/(-26))/((18/(-6))/(-3)). Let -8/13 - 30/13*k**h + 14/13*k**3 - 2/13*k**4 + 2*k = 0. What is k?
1, 4
Suppose 3*o - 21 = 6*a - 9*a, 2*a + 10 = 4*o. Factor -90*t**4 - 91*t**o - 18*t**2 + 183*t**4 + 4*t + 4*t + 24.
2*(t - 2)**2*(t + 1)*(t + 3)
Let s be 735/385 + 1/11. Suppose s*w = 15*w. Factor 9/5*r**2 + w + 6/5*r.
3*r*(3*r + 2)/5
Find l, given that 36*l**5 + 221*l**4 + 99*l**4 + 9610*l**2 + 5425*l**3 + 14*l**5 - 45*l**5 = 0.
-31, -2, 0
Let g(t) = 306*t**2 + 1679*t - 1673. Let p(z) = 141*z**2 + 840*z - 837. Let c(s) = 6*g(s) - 13*p(s). Factor c(x).
3*(x - 281)*(x - 1)
Let d(n) = n**2 + 41*n + 52. Let c be d(-40). Let r be ((-18)/c)/(5/(-10)). Factor 4/3*b - 22/9*b**2 + 8/9*b**r + 2/9*b**4 + 0.
2*b*(b - 1)**2*(b + 6)/9
Let b = 29 - 46. Let p(o) = -o**3 - 18*o**2 - 17*o + 2. Let z be p(b). Suppose 11*m - z + 11*m + 2*m**2 - 22*m = 0. Calculate m.
-1, 1
Let i = 23/49 - 1646/4655. Let a = i - 1/95. Determine q so that -20/19*q + a*q**2 + 50/19 = 0.
5
Let d be (3/(-162))/((-2)/8) + (-26)/5616*-308. Factor -3*x**2 + 0 + 15/2*x**3 - 12*x - d*x**4.
-3*x*(x - 4)*(x - 2)*(x + 1)/2
Suppose 0 = -4*s - 4*t - 4, -7 = 2*s - 3*t + 6*t. Solve -s*i**4 + 4*i**4 + 5*i**3 + 3*i**2 + i**4 - 51*i**5 + 50*i**5 = 0.
-1, 0, 3
Let f(i) be the first derivative of 2*i**5/5 - 951*i**4/2 + 200978*i**3 - 31855013*i**2 - 2255. Let f(h) = 0. What is h?
0, 317
Let p be ((-5)/(225/18))/(1/(-265)). Let n be p/265*30/4. Factor 6/5*q**2 - 3/5*q**5 - 3/5 + 6/5*q**n - 3/5*q - 3/5*q**4.
-3*(q - 1)**2*(q + 1)**3/5
Let r(a) be the first derivative of 507/2*a + 1/2*a**3 + 66 + 39/2*a**2. Factor r(i).
3*(i + 13)**2/2
Let t(v) be the third derivative of v**7/70 + 21*v**6/20 - 3*v**5/20 - 31*v**4/2 + 42*v**3 - 5*v**2 - 191*v. Find u, given that t(u) = 0.
-42, -2, 1
Let l be (45/(-81))/(3750/(-90)). Let z(m) be the third derivative of l*m**5 - 5*m**2 + 0*m + 0 - 1/60*m**4 + 0*m**3 - 1/300*m**6. Factor z(t).
-2*t*(t - 1)**2/5
Let o = -276 - -278. What is p in 6*p + 3*p**2 + 0*p**2 - 4 - 5*p**o = 0?
1, 2
Factor -5/2*n**4 - 335/2*n**3 + 0 - 24025/2*n - 6355/2*n**2.
-5*n*(n + 5)*(n + 31)**2/2
Let 6104/5*m**3 - 2322576/5 - 2334772/5*m**2 - 4/5*m**4 + 4651248/5*m = 0. Calculate m.
1, 762
Find d, given that -d**3 + 135*d**2 - 982*d**2 + 419*d**2 + 4*d**3 - 5*d**3 = 0.
-214, 0
Let s(x) be the first derivative of x**3 - 33*x**2 + 53*x**2 - 11*x**2 + 217 + 15*x. Determine m so that s(m) = 0.
-5, -1
Determine v, given that 0 + 0*v + 375/4*v**2 - 12825/4*v**3 + 146205/4*v**4 - 555579/4*v**5 = 0.
0, 5/57
Let h(f) be the third derivative of 0*f + 0*f**4 + 1/180*f**6 + 24*f**2 + 0*f**3 + 0 + 0*f**5. Factor h(k).
2*k**3/3
Let q = 379/289 - -1968725/2601. Let a = q - 758. Find k such that -2/3*k - a*k**3 - 2 + 10/9*k**2 = 0.
-1, 3
Let v(p) be the second derivative of 0 + 4*p + 0*p**3 - 1/120*p**4 + 1/300*p**5 + 25/2*p**2 + 1/300*p**6. Let m(b) be the first derivative of v(b). Factor m(u).
u*(u + 1)*(2*u - 1)/5
Let h = -181 + 186. Determine v, given that 12*v**h - 44*v**2 + 36*v**2 + 48*v - 152*v**2 - 79*v**4 + 109*v**3 - v**4 + 71*v**3 = 0.
0, 2/3, 1, 2, 3
Solve -5292*y + 2*y**2 + 700983 + 162315 + 7920*y = 0.
-657
Let r(c) be the second derivative of c**5/80 + 41*c**4/16 - 83*c**3/8 + 125*c**2/8 + c - 1815. Factor r(a).
(a - 1)**2*(a + 125)/4
Let x be (-1540)/(-3432) + ((-632)/(-156) - 4). Factor 5/2*k**2 + x*k**3 + 18 - 16*k.
(k - 2)**2*(k + 9)/2
Let t(l) be the third derivative of l**6/660 - 13*l**5/33 + 257*l**4/132 - 128*l**3/33 + 480*l**2. Solve t(m) = 0.
1, 128
Let a(b) be the second derivative of b**5/70 - 142*b**4/21 + 283*b**3/21 - 1137*b + 2. Factor a(h).
2*h*(h - 283)*(h - 1)/7
Let u(h) = h**3 + 44*h**2 + 357*h - 42. Let y be u(-11). Let p(t) be the second derivative of 0 + y*t - 1/4*t**4 - 9/2*t**3 - 12*t**2. Factor p(c).
-3*(c + 1)*(c + 8)
Factor 32 - 52*x - 191*x**2 - 187*x**2 + 112 + 576*x**2 - 194*x**2.
4*(x - 9)*(x - 4)
Factor -27636*b + 5*b**4 - 65*b**2 + 0 + 27696*b + 0.
5*b*(b - 3)*(b - 1)*(b + 4)
Let g = 20629 - 20627. Let -9/4*h**g + 9/4 + 3/8*h**3 - 3/8*h = 0. What is h?
-1, 1, 6
Let i = 40 + -53. Let t(z) = z + 18. Let h be t(i). Factor 1/5*s**3 + 0*s**4 + 0*s**2 + 0*s - 1/5*s**h + 0.
-s**3*(s - 1)*(s + 1)/5
Let m(y) be the first derivative of -y**5/20 - 43*y**4/16 + 233*y**3/12 - 333*y**2/8 + 36*y + 1905. What is h in m(h) = 0?
-48, 1, 3
Let k(i) be the second derivative of i**7/3360 + 8*i**4/3 - 3*i - 3. Let y(g) be the third derivative of k(g). Find h such that y(h) = 0.
0
Factor -108 - 161*p**3 + 358*p**3 - 32*p**2 - 138*p - 199*p**3.
-2*(p + 1)*(p + 6)*(p + 9)
Let v(i) = -1006*i**4 + 4906*i**3 + 758*i**2 + 46*i - 8. Let a(b) = 671*b**4 - 3271*b**3 - 506*b**2 - 30*b + 5. Let k(z) = 8*a(z) + 5*v(z). Factor k(p).
2*p*(p - 5)*(13*p + 1)**2
Let u = -370 - -391. Factor f - u - f**2 + 32*f + 62 + 7*f.
-(f - 41)*(f + 1)
Suppose -26165*i + 3 = -26165*i + 3*m, -4*i = m - 9. Let -105/8 + 27/2*g - 3/8*g**i = 0. Calculate g.
1, 35
Let o = -414 + 420. Factor -4222 + 4225 + 10*j - 3*j**2 + o*j**2.
(j + 3)*(3*j + 1)
Let z(g) = 57*g**3 + g**2 + 6*g - 9. Let x be z(3). Factor 2 - 2 - 18*c**2 - 16 + 1558*c**3 - x*c**3 + 33*c.
(c - 16)*(c - 1)**2
Suppose 2*k = -5*r + 79, -4*k - 2*r - 562 + 600 = 0. Let 3/2*n**4 - 5/6*n**2 - 1/3*n**5 - 5/3*n**3 - 2/3 + k*n = 0. Calculate n.
-1, 1/2, 1, 2
Let 105/2*g - 5/2*g**2 - 135 = 0. Calculate g.
3, 18
Let w(p) be the third derivative of p**7/840 + 23*p**6/240 - 3*p**5/5 + 5*p**4/24 - p**3/6 - 232*p**2. Let y(b) be the second derivative of w(b). Factor y(u).
3*(u - 1)*(u + 24)
Suppose -84*o - 32*o**2 + 3*o**3 - 67*o**2 + 0*o + 18*o**2 = 0. Calculate o.
-1, 0, 28
Let i(m) be the third derivative of 16*m**2 + 0 - 3/560*m**8 - 1/100*m**5 + 0*m + 1/40*m**6 + 0*m**3 + 1/350*m**7 - 1/20*m**4. Suppose i(g) = 0. Calculate g.
-1, -2/3, 0, 1
Let g(l) be the second derivative of 2*l**3 - 7/2*l**2 + 0 - 1/6*l**4 + 14*l. Let d(x) = 5*x**2 - 35*x + 20. Let n(p) = 3*d(p) + 10*g(p). Factor n(b).
-5*(b - 2)*(b - 1)
Let g(n) be the first derivative of 2*n**6 - 856*n**5/15 - 271*n**4 + 3208*n**3/9 + 144*n**2 - 2108. Find t such that g(t) = 0.
-4, -2/9, 0, 1, 27
Let a be (9/2)/(-3)*-2. Let v = -26933 + 26937. Let -p - 4/3*p**2 + p**a + 3/2*p**v - 1/6 = 0. What is p?
-1, -1/3, 1
Let g(r) be the first derivative of 0*r + 1/8*r**3 + 55 + 3/2*r**2. Factor g(d).
3*d*(d + 8)/8
Suppose 5*v - 5 = 0, 4*v + 