 derivative of -r**6/39 + 75*r**4/26 + 500*r**3/39 + 3091. Determine a, given that y(a) = 0.
-5, 0, 10
Let n(s) be the third derivative of -2*s**4 + 0*s**3 - 10*s + 2*s**2 + 0 + 1/20*s**5. Determine z so that n(z) = 0.
0, 16
Factor 76/15*j**2 - 602/15*j + 392/5 - 2/15*j**3.
-2*(j - 28)*(j - 7)*(j - 3)/15
What is w in -68*w**3 + 197*w - 1656 + 51*w**3 + w**4 - 4*w**4 - 209*w + 1242*w**2 - 388*w**3 = 0?
-138, -1, 2
Let x(r) = 2*r**2 + 245*r - 120. Let q be x(-123). Let f(k) be the first derivative of -270*k**2 + 40*k + 16 - 3645/4*k**4 + 810*k**q. Factor f(b).
-5*(9*b - 2)**3
Let z be ((2 - -1) + -4)/(7/(-14)). Factor -x - 13*x - 2 - 3*x**z + 2*x + 2 - 9.
-3*(x + 1)*(x + 3)
Let f = 478 + -473. Solve -10*p - 8 - f*p + 0*p - 4*p**2 - p + 4*p = 0 for p.
-2, -1
Suppose 3*r - 3*a = 87, 5*r + 148 = 10*r - 2*a. Let g(w) = -5*w**3 - 20*w**2 + 15*w. Let k(p) = p. Let b(h) = r*k(h) - g(h). Suppose b(f) = 0. Calculate f.
-3, -1, 0
What is b in -2/3*b**2 - 240 + 44*b = 0?
6, 60
Let f(h) be the third derivative of -h**5/15 + 77*h**4/6 + 1216*h**2. Factor f(w).
-4*w*(w - 77)
Let w(g) be the third derivative of -3*g**6/20 + 5*g**5 + 1547*g**4/48 + 931*g**3/12 - 4405*g**2. Factor w(j).
-(j - 19)*(6*j + 7)**2/2
Let k be (-22)/110*(803/(-77) + (-6)/(-14)). Factor -16/7*p + 24/7 - 10/7*p**k + 2/7*p**3.
2*(p - 6)*(p - 1)*(p + 2)/7
Determine y, given that -20/3*y**3 + 452/3*y**2 - 160 - 1016/3*y = 0.
-2/5, 3, 20
Solve 8*i**3 + 4/9*i**2 + 0 - 4/9*i**4 - 8*i = 0.
-1, 0, 1, 18
Let u(j) be the third derivative of -j**7/525 - 181*j**6/300 + 143*j**2 + 4*j. Factor u(w).
-2*w**3*(w + 181)/5
Let v(s) = -5*s**3 + 7009*s**2 - 27940*s + 27785. Let n(d) = 10*d**3 - 14015*d**2 + 55880*d - 55615. Let i(h) = -3*n(h) - 5*v(h). Solve i(g) = 0 for g.
2, 1396
Factor 0 + 1/2*v**3 + 9/2*v + 3*v**2.
v*(v + 3)**2/2
Suppose -x + 2 = 3*m, -2*m - 2*x + 22 - 18 = 0. Let n(o) = -2*o + 1. Let j be n(-5). Factor 8*f**2 + m*f + 12*f - j*f**2.
-3*f*(f - 4)
Let c(i) be the third derivative of i**7/1365 + 3*i**6/260 + 7*i**5/130 + 19*i**4/156 + 2*i**3/13 - 147*i**2. Factor c(p).
2*(p + 1)**3*(p + 6)/13
Suppose 7*m - 35 = -21. Determine z so that -4335*z - 133*z**m - 5*z**3 + 190*z**2 - 14921 + 198*z**2 + 39486 = 0.
17
Let h(l) = 38*l**3 + 3383*l**2 + 1434783*l - 2883222. Let p(t) = -17*t**3 - 1692*t**2 - 717393*t + 1441610. Let n(g) = 4*h(g) + 9*p(g). Factor n(c).
-(c - 2)*(c + 849)**2
Factor -30*n**2 - 12*n**2 + 252004 + 56*n**2 - 10*n**2 - 2008*n.
4*(n - 251)**2
Suppose -4*f + 1557 - 1561 = 3*p, -f - 2*p = 6. Factor -8*z**f + 5*z**3 + 5/3*z + 0 + 4/3*z**4.
z*(z - 1)*(z + 5)*(4*z - 1)/3
Let i be (-420)/252*9/(-5). Let n(a) be the third derivative of 1/180*a**5 - i*a**2 + 1/72*a**4 + 0 + 0*a**3 + 0*a. Factor n(r).
r*(r + 1)/3
Let g(j) be the second derivative of -48*j - 1/6*j**4 - 14/3*j**3 + 24*j**2 + 0. Let h(v) = -v**2 - 19*v + 32. Let x(t) = 5*g(t) - 8*h(t). Factor x(n).
-2*(n - 4)*(n - 2)
Suppose -9*o + 314 = 134. Find p, given that -5*p**3 + 27 + 135*p - o*p**2 + 42*p**3 + 33*p**2 + 4*p**4 + 104*p**2 = 0.
-3, -1/4
Let c(p) = p**2 + 6*p - 249. Let d be c(12). Let t = d + 135/4. Factor 0 - 9/4*s**3 - t*s - 9/4*s**2 - 3/4*s**4.
-3*s*(s + 1)**3/4
Let w be (-1)/4 - (8 + (-840)/32). What is t in 54*t**3 - 4*t**5 + 5*t**5 - 14*t**3 + 54*t**2 + 33*t**4 - 20*t**4 - w*t**2 = 0?
-9, -2, 0
Let a(i) be the first derivative of -4*i**5/5 + 888*i**4 - 262848*i**3 + 446. Factor a(m).
-4*m**2*(m - 444)**2
Let m(c) = -5*c**3 - 98*c**2 - 348*c + 6. Let j(r) = -12*r**3 - 296*r**2 - 1044*r + 16. Let a(b) = 3*j(b) - 8*m(b). Solve a(d) = 0 for d.
-3, 0, 29
Let k(j) = -2*j**3 + 6*j**2 - 4*j - 1. Let v(i) = 1. Let a be (-297)/(-132) + 2/(-8). Let n(l) = a*k(l) + 2*v(l). Find b, given that n(b) = 0.
0, 1, 2
Suppose 48 = 2*v + 40. Suppose v*r = 4*m + 16, 7*m - 16 = 11*m. Find h, given that 0*h - 1/2*h**4 + r + h**3 + 0*h**2 = 0.
0, 2
Let v be ((-11)/(22/(-6)))/1. Factor -25*m**4 - 25*m + 89*m**3 + 22*m - 45*m**2 + 13*m - 29*m**v.
-5*m*(m - 1)**2*(5*m - 2)
Let l(n) = 20*n**2 + 18*n**3 - 9*n**3 + 0 - 7*n**3 + 6. Let p(j) = 3*j**3 + 38*j**2 + 11. Let b(o) = 11*l(o) - 6*p(o). Let b(w) = 0. Calculate w.
0, 2
Let h(v) = 2*v**3 - 243*v**2 + 1273*v - 1050. Let l(b) = 5*b**3 - 485*b**2 + 2550*b - 2100. Let d(w) = -5*h(w) + 3*l(w). Determine f so that d(f) = 0.
1, 5, 42
Let y(g) be the first derivative of -g**3/5 - 222*g**2/5 + 447*g/5 + 1350. Suppose y(v) = 0. What is v?
-149, 1
Factor 354502*s**2 + 19*s - 2 + 16 + s**3 + 3*s**3 - 5*s**3 - 354498*s**2.
-(s - 7)*(s + 1)*(s + 2)
Let b = -50056 - -547540/11. Let n = b - -281. Factor -2/11*x**2 - n*x**3 + 0 + 0*x - 13/11*x**4.
-x**2*(x + 1)*(13*x + 2)/11
Let x(s) be the third derivative of 19*s**6/120 - s**5/20 - 67*s**3/6 + 72*s**2. Let c(i) be the first derivative of x(i). Factor c(m).
3*m*(19*m - 2)
Suppose -40*g + 1 = -125*g + 1. Let o(d) be the third derivative of -18*d**2 + g + 1/15*d**3 + 7/300*d**5 + 0*d + 3/40*d**4. Suppose o(s) = 0. Calculate s.
-1, -2/7
Let x be (-561)/(-153) + 1/(-3) - (-4)/6. Let g(s) be the third derivative of 0*s - 1/15*s**x + 1/75*s**5 + 0 - 27*s**2 + 2/15*s**3. Factor g(d).
4*(d - 1)**2/5
Let m(a) be the second derivative of -a**6/6 + 3*a**5/4 + 25*a**4/12 - 5*a**3/2 - 10*a**2 + 4*a - 250. Factor m(q).
-5*(q - 4)*(q - 1)*(q + 1)**2
Suppose 20*d - 22*d = h + 7, -d + 4 = 3*h. Let f be 6 - -1 - h/1. Factor 98/3 + 34/3*y**f - 322/3*y - 188/3*y**3 + 380/3*y**2 - 2/3*y**5.
-2*(y - 7)**2*(y - 1)**3/3
Let f be (-2958)/3944 + (99/(-12))/(-3). Find s such that 3/2*s - 3/4*s**f + 6 = 0.
-2, 4
Let v be 58/145 - 3/20. Let a(l) be the first derivative of -3/8*l - 3/16*l**2 - 24 - 1/16*l**6 - 3/40*l**5 + 3/16*l**4 + v*l**3. Factor a(n).
-3*(n - 1)**2*(n + 1)**3/8
Let i(z) = -3*z**3 - 627*z**2 + 15*z + 639. Let x(d) = 2*d**3 + 630*d**2 - 12*d - 640. Let v(a) = 5*i(a) + 6*x(a). What is y in v(y) = 0?
-1, 1, 215
Let a(h) be the first derivative of -h**4/2 + 46*h**3/3 - 22*h**2 - 1404. What is y in a(y) = 0?
0, 1, 22
Let g(n) = n**2 - n - 1. Let j(z) = 12 - 87*z**2 + 28 - 53 - 12*z + 18. Let c = 1 - 2. Let b(p) = c*j(p) - 6*g(p). Solve b(q) = 0 for q.
-1/9
Let u = -163 - -165. Factor 4*n - 4*n**3 + 54*n**u + 48*n**2 - 44 - 58*n**2.
-4*(n - 11)*(n - 1)*(n + 1)
Let p(h) be the second derivative of -h**6/10 - 15*h**5/2 + 213*h**4/4 - 81*h**3 + 4995*h. Let p(j) = 0. Calculate j.
-54, 0, 1, 3
Let t(v) be the third derivative of -v**5/45 - 50*v**4/3 - 198*v**3 - 5*v**2 - 2*v - 122. What is r in t(r) = 0?
-297, -3
Let a(i) be the third derivative of -i**8/112 + 29*i**7/35 - 417*i**6/20 - 20*i**5 + 5539*i**4/8 + 2523*i**3 + 1179*i**2. Find o such that a(o) = 0.
-2, -1, 3, 29
Let g be -14*((-12)/8*3800/798 - -7). Solve 0 - 96/5*r + 4/5*r**g = 0.
0, 24
Let y = 8901/464 - 2637/464. Let l = 136 + -73. Factor -y*q**4 + l*q**2 - 27/2*q**3 - 50*q + 12.
-(q + 3)*(3*q - 2)**3/2
Let t(l) = -9*l**5 - 15*l**4 + 84*l**2 + 78*l. Let z(f) = -f**5 + f**4 + f**3 + f. Let j(g) = t(g) - 6*z(g). Find r, given that j(r) = 0.
-6, -2, -1, 0, 2
Determine o, given that -1/7*o**5 - 4331/7*o**3 + 54872/7 - 54758/7*o**2 - 114/7*o**4 + 4332/7*o = 0.
-38, -1, 1
Let d(h) be the second derivative of 2*h**7/21 + 6*h**6 + 144*h**5 + 1800*h**4 + 12960*h**3 + 54432*h**2 + 211*h + 3. Factor d(f).
4*(f + 6)**4*(f + 21)
Suppose 8*a - 22 = 10*a. Let i = -9 - a. Determine w so that 26*w**i - 34*w**2 - 4*w + 4*w**4 + 4*w**3 - 2*w**4 + 6 = 0.
-3, -1, 1
Suppose 45 = 11*s - 2*s. Suppose 4*k + s*v = 18, k = 3*k - v - 2. Factor i**2 - 4*i**2 + i**2 - i**k + 3*i + i**3 - 1.
(i - 1)**3
Find k such that -43/5*k**3 - 1/10*k**4 + 0 - 17/2*k**2 + 0*k = 0.
-85, -1, 0
Find t such that -59/4*t + 141 + 1/4*t**2 = 0.
12, 47
Let l(u) be the third derivative of u**5/35 - 65*u**4/84 - 11*u**3/21 - 1374*u**2 + 2*u. Factor l(b).
2*(b - 11)*(6*b + 1)/7
Let p = -20 + 25. Suppose -5*a = -4*t - 29, 4*t + t - p = -2*a. Factor a + f**3 + 8 - 13.
f**3
Let k(r) be the third derivative of r**8/6720 - r**7/336 + r**6/60 + 77*r**5/60 + r**2 - 4*r. Let j(w) be the third derivative of k(w). Let j(m) = 0. What is m?
1, 4
Let l = -251/6 + 2537/60. Let k(y) be the second derivative of l*y**5 - 3/2*y**3 + 9*y - 1/4*y**4 + 0 + 3/2*y**2. Factor k(h).
3*(h - 1)*(h + 1)*(3*h - 1)
Let f(d) be the third derivative of 0*d**3 + 12*d**2 + 1/56*d**8 + 0*d - 1 