 derivative of -29 - 12*v + 3/20*v**5 - 5/4*v**4 - 9/2*v**2 + 7/2*v**3. Let a(o) be the first derivative of u(o). Factor a(g).
3*(g - 3)*(g - 1)**2
Determine s, given that 69/2*s**3 + 1/2*s**2 + 69 - 623/6*s - 1/6*s**4 = 0.
-2, 1, 207
Let k be ((-73472)/12)/(-8) - (-2)/(-6). Suppose -a**2 - 290 - 551 + k*a - 707*a = 0. What is a?
29
Let r be (-1 - 15/(-21)) + (640/35)/8. Let j(a) be the first derivative of 0*a**3 + 8*a**r - 5 + 0*a - 3*a**4 + 4/5*a**5. Determine d so that j(d) = 0.
-1, 0, 2
Let j(x) be the second derivative of x**7/21 - 7*x**6/15 + 2*x**5/5 + 22*x**4/3 - 32*x**3/3 - 64*x**2 + 16*x - 11. Suppose j(v) = 0. Calculate v.
-2, -1, 2, 4
Suppose 0 = 4*p - 4*z - 12, z = 3*p - 0*z - 9. Suppose -8*u + p = -7*u. Factor 2*j**u - 5*j + 0*j**2 + 10*j**2 - j**3 - 6*j**3.
-5*j*(j - 1)**2
Let c be (-160 - -160)*((-11)/((-440)/(-32)) + 9/15). Factor c + 0*t - 1/4*t**2 + 1/8*t**4 - 1/8*t**3.
t**2*(t - 2)*(t + 1)/8
Let h(c) be the first derivative of 3*c**4/4 - 36*c**3 - 741*c**2/2 - 630*c - 6165. Determine d, given that h(d) = 0.
-5, -1, 42
Factor 2/5*x**3 - 344/5 - 76/5*x**2 - 422/5*x.
2*(x - 43)*(x + 1)*(x + 4)/5
Suppose 0 = -2*v + 4 - 14. Let p(y) = -y**3 - 7*y**2 - 10*y + 5. Let t be p(v). Factor 16 - 14*c - 7*c + 4*c**2 + t*c.
4*(c - 2)**2
What is u in -496*u**2 - 480*u - 2/3*u**5 + 0 + 12*u**4 - 10/3*u**3 = 0?
-5, -1, 0, 12
Let m(w) be the first derivative of -363*w**4/4 - 792*w**3 - 1215*w**2/2 - 162*w - 665. Determine j, given that m(j) = 0.
-6, -3/11
Let o = -6445 - -6459. Let g(s) be the third derivative of 1/3*s**3 + 0*s - o*s**2 + 1/72*s**4 - 1/45*s**5 + 0 + 1/360*s**6. Factor g(x).
(x - 3)*(x - 2)*(x + 1)/3
Let t(l) be the first derivative of 62*l**3/27 + 73*l**2/9 + 28*l/3 - 1202. Factor t(r).
2*(r + 1)*(31*r + 42)/9
Let g(v) be the first derivative of 7*v**5/20 + 17*v**4/8 + 3*v**3 + 4*v**2 + 4*v - 96. Let m(z) be the second derivative of g(z). Factor m(w).
3*(w + 2)*(7*w + 3)
Suppose 0 = 5*k + 15, 5*q + 2*k - 6 = q. Let p(n) be the first derivative of -1/8*n**q + 0*n - 10 + 1/32*n**4 + 0*n**2. Factor p(t).
t**2*(t - 3)/8
Let p(d) be the first derivative of 7*d**6/15 - 3*d**5/2 + d**4/3 - 38*d + 24. Let j(m) be the first derivative of p(m). Let j(k) = 0. Calculate k.
0, 1/7, 2
Let b(s) be the first derivative of -5*s**3 + 35*s**2 - 40*s - 1480. Suppose b(n) = 0. Calculate n.
2/3, 4
Let n = 344 + -3439/10. Let r(w) be the first derivative of 1/25*w**5 + 0*w - 1/15*w**3 + n*w**2 - 1/20*w**4 + 3. Factor r(d).
d*(d - 1)**2*(d + 1)/5
Suppose 56*w - 322 = 33*w. Let -1889 + w - 13*x**2 - 14*x**2 + 600*x - 21*x**2 = 0. What is x?
25/4
Let m = -965520113599/441081897322 + -3/631922489. Let l = -5/698 - m. Let 2/11 + 15/11*z - 16/11*z**4 + 23/11*z**2 - l*z**3 = 0. What is z?
-2, -1/4, 1
Solve 1103/2*z + 184 - 9/8*z**3 + 825/2*z**2 = 0.
-2/3, 368
Let b(u) be the third derivative of -61*u**2 + 0 + 0*u + 4*u**3 + 5/6*u**4 - 56/15*u**5. Solve b(n) = 0.
-2/7, 3/8
Let w(t) be the first derivative of -77 - 13 - t**3 - 23 + 75*t + 36*t**2. Let w(x) = 0. Calculate x.
-1, 25
What is s in -189/4*s**3 - 7/4*s**5 - 12 - 13*s**2 + 49*s + 25*s**4 = 0?
-1, 2/7, 1, 2, 12
Suppose 1098/5*q - 108/5 - 400/3*q**4 + 920*q**3 - 756*q**2 = 0. Calculate q.
3/10, 6
Factor 252 - 100*x - 4*x**3 - 430*x**2 + 292*x**2 + 108*x - 11*x**3 - 203*x.
-3*(x + 3)*(x + 7)*(5*x - 4)
Let o be 168/44 - (-10)/55. Solve -30*a**2 - 62*a**4 - 55*a**o + 205*a**3 + 52*a**4 = 0 for a.
0, 2/13, 3
Let p(l) be the first derivative of -4*l**5/5 + 19*l**4 + 188*l**3 + 450*l**2 - 389. Factor p(g).
-4*g*(g - 25)*(g + 3)**2
Let v(y) = -2*y**2 - 34*y + 5. Let j be v(-9). Factor -242 + 94*k - 3*k**2 + 2*k + j.
-3*(k - 31)*(k - 1)
Find t such that 60*t - 15/7*t**4 - 144/7 + 21*t**3 - 408/7*t**2 = 0.
4/5, 1, 2, 6
Suppose 471/4*p - 137*p**2 + p**4 + 159/4*p**3 - 43/2 = 0. Calculate p.
-43, 1/4, 1, 2
Let i(d) be the first derivative of 2*d**5/13 + 4*d**4/13 - 16*d**3/13 - 32*d**2/13 + 32*d/13 + 924. Let i(q) = 0. Calculate q.
-2, 2/5, 2
Factor -4/3*f**2 - 4/3*f**3 + 0*f + 4/3*f**4 + 4/3*f**5 + 0.
4*f**2*(f - 1)*(f + 1)**2/3
Let g(q) be the third derivative of -q**5/15 + 25*q**4/6 + 56*q**3 - 13*q**2 - 34*q. Let g(j) = 0. Calculate j.
-3, 28
Let m(s) be the first derivative of s**4/6 - 62*s**3/3 + 961*s**2 - 147*s + 66. Let w(z) be the first derivative of m(z). What is j in w(j) = 0?
31
Suppose a - 2*k - 710 = -2*a, -3*a = -4*k - 700. Factor -6*r**3 + r**3 + 196 - 16 - a*r + 65*r**2.
-5*(r - 6)**2*(r - 1)
Let d = -2632 + 52643/20. Let g(z) be the first derivative of -3/4*z**3 + 0*z**2 + d*z**5 - 4 - 1/8*z**4 + z. Suppose g(h) = 0. What is h?
-1, 2/3, 2
Let o(a) be the second derivative of -41/18*a**4 + 32/3*a**3 - 12*a**2 + 1/21*a**7 - 113/90*a**5 + 0 - 118*a + 1/9*a**6. Find j such that o(j) = 0.
-3, 2/3, 3
Let r(y) = -y**2 - 5*y + 9. Let b be r(-6). Suppose -3 = b*n - 3. Determine z, given that 4 - 27*z**2 + n*z**3 + 3*z**2 - 14*z**3 - 6*z + 0*z**3 = 0.
-1, 2/7
Let k(i) = -9*i**4 - 143*i**3 + 878*i**2 - 898*i - 1944. Let p(s) = s**4 + 18*s**3 - 110*s**2 + 112*s + 243. Let h(n) = -4*k(n) - 34*p(n). Factor h(r).
2*(r - 9)**2*(r - 3)*(r + 1)
Let p(s) be the third derivative of -3*s**5/160 - 7*s**4/16 + 111*s**3/16 - 7*s**2 - 307*s. Factor p(m).
-3*(m - 3)*(3*m + 37)/8
Let b(r) be the third derivative of 5*r**8/896 - 89*r**7/1680 - 9*r**6/80 - 7*r**5/120 + 1453*r**2. Solve b(q) = 0.
-2/3, -2/5, 0, 7
Let u(t) be the second derivative of t**4/84 - 125*t**3/42 + 62*t**2/7 - 1361*t. Factor u(j).
(j - 124)*(j - 1)/7
Let h(x) be the first derivative of 0*x**3 - 93 + 2/3*x - 2/15*x**5 - 1/3*x**4 + 2/3*x**2. Factor h(w).
-2*(w - 1)*(w + 1)**3/3
Let d be (-13874)/56 - 1*9/(-12). Let r = 249 + d. Factor -9/7*l**r + 1/7*l**3 - 16/7 + 24/7*l.
(l - 4)**2*(l - 1)/7
Let h(p) = -65*p**4 - 350*p**3 + 1275*p**2 - 1330*p + 500. Let g(i) = 9*i**4 + 50*i**3 - 182*i**2 + 190*i - 71. Let y(o) = 15*g(o) + 2*h(o). Factor y(v).
5*(v - 1)**3*(v + 13)
Let f(h) be the second derivative of -h**10/15120 + h**8/1680 - h**6/360 - 73*h**4/6 + 63*h. Let w(x) be the third derivative of f(x). Factor w(g).
-2*g*(g - 1)**2*(g + 1)**2
Let c(a) be the first derivative of a**6/27 - 16*a**5/45 + 5*a**4/6 + 40*a**3/27 - 76*a**2/9 + 32*a/3 - 723. Let c(f) = 0. What is f?
-2, 1, 2, 3, 4
Let b = -17 + 31. Suppose -2*c = -b - 2. Factor 4*p**2 - 120 + c*p + 128 + 7*p - 3*p.
4*(p + 1)*(p + 2)
Suppose -81*w + 3*w**2 - 62557 + 62557 = 0. Calculate w.
0, 27
Let t(o) be the third derivative of -o**7/1365 - 55*o**6/39 - 15125*o**5/13 - 20796875*o**4/39 - 5719140625*o**3/39 + 32*o**2 + 25*o. Let t(r) = 0. What is r?
-275
Let c(v) be the second derivative of -1 - 1/135*v**6 + 0*v**3 - 1/90*v**5 - 83*v + 1/27*v**4 + 0*v**2. Solve c(k) = 0 for k.
-2, 0, 1
Let c(b) = 2*b**2 - 14*b + 4. Let g(s) = s**2 - 17*s + 4. Let q(m) = 3*c(m) - 2*g(m). Solve q(i) = 0.
1
Let k = 2077/244 - 504/61. Suppose 4*h - 36 = -4*r, 6 = -h + 3*r - 1. Factor -k*v**h + 1/2*v**2 + 0 + 1/4*v + 0*v**3 - 1/2*v**4.
-v*(v - 1)*(v + 1)**3/4
Suppose -q = 5*p + 40, 3*q - 3*p - 1027 + 1003 = 0. Let w(v) be the third derivative of 1/330*v**5 + 1/44*v**4 - 28*v**2 - 10/33*v**3 + 0 + q*v. Factor w(y).
2*(y - 2)*(y + 5)/11
Let a(r) be the second derivative of 0*r**2 + 1/6*r**4 - 6*r**3 + 0 + 46*r. Let a(u) = 0. Calculate u.
0, 18
Suppose -80/9*w**2 + 0 + 4/9*w**5 - 10*w**3 + 50/9*w**4 + 56/9*w = 0. Calculate w.
-14, -1, 0, 1/2, 2
Suppose o = 52 - 54. Let d be o + (3300/70)/3. Factor -d*h + 4/7*h**4 + 88/7*h**2 - 32/7*h**3 + 36/7.
4*(h - 3)**2*(h - 1)**2/7
Let n(o) be the first derivative of o**3/12 - 373*o**2/8 - 187*o/2 + 1178. Factor n(l).
(l - 374)*(l + 1)/4
Let l(q) = 5*q**2 + 10*q + 3. Suppose 3 = 3*s + 6. Let z(p) = -1. Suppose -13*u + 25 = 64. Let w(a) = s*l(a) + u*z(a). Solve w(y) = 0.
-2, 0
Let o(x) be the first derivative of 4*x**3/3 - 3*x**2/2 - 61*x + 16. Let q(v) = 12*v**2 - 8*v - 184. Let i(k) = -8*o(k) + 3*q(k). Factor i(l).
4*(l - 4)*(l + 4)
Let d be 840/6768 + (-4)/(-94). Solve -1/2*b**2 - d*b**4 + 5/6*b - 5/6*b**3 + 2/3 = 0.
-4, -1, 1
Suppose -3*p - 2*p + 10 = 0. Find i, given that -10*i**p - 71*i**4 + 61*i**4 - 16*i - 14*i**2 - 44*i**3 - 32*i**2 = 0.
-2, -2/5, 0
Let n = 685 - 313. Let v = 376 - n. Factor -4*y**2 + 16/3*y + 2/3*y**v - 2 + 0*y**3.
2*(y - 1)**3*(y + 3)/3
Find j, given