) be the third derivative of s(a). Factor t(q).
-2*(q - 4)*(q - 1)*(q + 2)
Factor 2/5*j**2 - 1128/5 + 176/5*j.
2*(j - 6)*(j + 94)/5
Let u(r) be the third derivative of -r**7/525 - 17*r**6/300 - 16*r**5/25 - 52*r**4/15 - 128*r**3/15 + r**2 + 24*r - 3. Suppose u(a) = 0. Calculate a.
-8, -4, -1
Let d(x) be the third derivative of -x**8/3864 + x**7/805 + x**6/690 - 2*x**5/115 + 2*x**4/69 - 50*x**2 + 4. Solve d(a) = 0.
-2, 0, 1, 2
Let a(j) be the first derivative of -5*j**9/3024 + j**8/28 - 11*j**7/168 + 110*j**3/3 + 160. Let l(m) be the third derivative of a(m). Solve l(o) = 0 for o.
0, 1, 11
Suppose -5*o + 1512 = o. Let 16 - o*d**2 + 235*d**2 + 256*d + 141*d**2 = 0. What is d?
-2, -2/31
Let u(c) be the second derivative of c**6/15 + 17*c**5/5 + 125*c**4/6 + 152*c**3/3 + 60*c**2 - 579*c. Factor u(k).
2*(k + 1)**2*(k + 2)*(k + 30)
Let u(w) be the first derivative of 0*w**2 + 3/7*w - 150 - 1/7*w**3. Factor u(y).
-3*(y - 1)*(y + 1)/7
Let s(g) be the third derivative of -g**7/70 - 53*g**6/20 - 2997*g**5/20 - 2295*g**4/2 + 15606*g**3 + 72*g**2 + 23*g. Determine z, given that s(z) = 0.
-51, -6, 2
Let o be (-133)/(-42)*7 - (-2)/(-12). Factor -43*x**2 - 30*x + 22*x**2 + 69*x**2 + 4 - o*x**3.
-2*(x - 1)**2*(11*x - 2)
Let z(v) be the third derivative of v**8/18 - 26*v**7/315 - 71*v**6/90 - 47*v**5/45 - v**4/6 - 3739*v**2. Solve z(k) = 0.
-1, -1/14, 0, 3
Suppose -5*f + 3*f - 2*m + 20 = 0, 26 = 4*f - 3*m. What is c in -24 - 36 + 129*c**3 - 231*c**2 - 33*c**4 + 11 - 3 + 192*c - f + 3*c**5 = 0?
1, 2, 5
Let s(h) = -h**3 + 8*h**2 + 2*h + 66. Let b be s(8). Suppose b*w = 29*w. Suppose 1/5*p + w - 1/5*p**2 = 0. What is p?
0, 1
Suppose 5*c + 2 = k + 25, 6 = -2*k. Suppose -c*w + 11 = 3. Let -u**3 - 4*u**3 - 3*u**2 + w*u - u**3 + u**3 = 0. Calculate u.
-1, 0, 2/5
Let x be 19/((-228)/(-90)) - (-1)/(-2). Solve x*u + 13*u - 47*u**2 + 4*u + 20*u**2 + 3*u**3 = 0 for u.
0, 1, 8
Determine p, given that 1/3*p**2 - 92/3 + 44/3*p = 0.
-46, 2
Suppose -774*d = -773*d - 4. Suppose -d*n - 12 = -3*r + 10, 0 = -5*r + 3*n + 22. Suppose 2*g**5 + 18/7*g**4 - 4/7*g - 18/7*g**r + 0 - 10/7*g**3 = 0. What is g?
-1, -2/7, 0, 1
Let c(t) be the first derivative of 88*t**3/39 - 389*t**2/13 + 70*t/13 - 1727. Factor c(r).
2*(4*r - 35)*(11*r - 1)/13
Let n(k) be the first derivative of 3140*k**3/3 + 1574*k**2 + 8*k + 2473. Find j such that n(j) = 0.
-1, -2/785
Let l = -38 - -66. Let d = 30 - l. Find c such that -4*c**2 + 16 - 3*c + 6*c + 11*c - d*c = 0.
-1, 4
Let u(b) = -b**3 + 9*b**2 + 35*b + 15. Let r be u(12). Factor 53*c**4 - 9*c**2 + 52*c**4 - r*c**3 + 3*c**5 - 96*c**4.
3*c**2*(c - 1)*(c + 1)*(c + 3)
Suppose 2*v = v - 4*v. Suppose v = p - 2 - 33. Let -17*n**2 - 15*n**2 - 3*n**3 + p*n**2 = 0. Calculate n.
0, 1
Let i(h) be the third derivative of -h**8/100800 + h**6/3600 + 61*h**5/30 + 125*h**2. Let a(t) be the third derivative of i(t). Factor a(z).
-(z - 1)*(z + 1)/5
Let d(b) = -14*b**3 - 24*b**2 + 30*b + 4. Let p(q) = 12*q**3 + 23*q**2 - 29*q - 10. Let v(t) = -5*d(t) - 6*p(t). Solve v(s) = 0.
-10, -1, 2
Let t(p) be the first derivative of 0*p - 1/3*p**3 - 5 + 2/3*p**2 + 1/24*p**4. Factor t(i).
i*(i - 4)*(i - 2)/6
Let x(r) = -r**2 - 912*r - 36537. Let q be x(-42). Find y, given that -441/5 + 1406/5*y**2 - 128/5*y**q - 168*y + 3/5*y**4 = 0.
-1/3, 1, 21
Let v be (-175)/21 - -4 - (1 - ((-20)/5 + 11)). Factor -v*a**2 + 4 + 2/3*a + 1/6*a**4 - 1/6*a**3.
(a - 3)*(a - 2)*(a + 2)**2/6
Let d(p) be the first derivative of 8*p**2 - 4/3*p**3 + 0*p - 1/2*p**4 - 189. Solve d(a) = 0.
-4, 0, 2
Let m(i) be the third derivative of -i**5/240 + 7*i**4/96 - i**3/4 + 2*i**2 - 658*i. Let m(x) = 0. Calculate x.
1, 6
Determine d so that -140/11 - 271/11*d - 122/11*d**2 + 9/11*d**3 = 0.
-1, 140/9
Let l be (-301)/(-49) + -6 + (10 - 5). Factor -39/7*h - 3/7*h**2 - l.
-3*(h + 1)*(h + 12)/7
Let x(c) = -21*c - 642. Let g be x(-31). Let f be (-4)/(-6)*3*1. Factor -6*w**4 - 9*w**5 - w**5 + 11*w**5 + g*w - 2 - 16*w**f + 14*w**3.
(w - 2)*(w - 1)**4
Solve -2/5*u**2 + 0*u + 140*u**3 + 0 = 0.
0, 1/350
Solve 48*j**2 - 51*j**2 - 4800 + 7*j**2 - 352*j = 0 for j.
-12, 100
Let v(s) be the second derivative of 0*s**2 + 3*s + 0*s**3 + 3/160*s**5 - 3/32*s**4 - 7. Factor v(z).
3*z**2*(z - 3)/8
Factor 32 + 61819581*z**2 - 1 + 30*z - 61819582*z**2.
-(z - 31)*(z + 1)
Let v(y) be the third derivative of 1/5*y**7 - 36*y**3 - 61*y**2 + 0*y + 15/2*y**4 - 2 - 59/40*y**6 - 1/112*y**8 + 29/10*y**5. Suppose v(b) = 0. What is b?
-1, 1, 2, 6
Factor 642*s**3 - 1520*s**2 - 239*s**5 + 771*s**5 + 800*s + 76*s**4 - 530*s**5.
2*s*(s - 1)**2*(s + 20)**2
Let v(u) be the third derivative of -1/240*u**5 + 0*u + 0 - 134*u**2 + 14/3*u**3 + 1/480*u**6 - 5/12*u**4. Factor v(d).
(d - 4)**2*(d + 7)/4
Let k = -279684 - -1398421/5. Determine o so that -14/5 + o + k*o**2 = 0.
-7, 2
Let m(t) be the second derivative of -t**5/10 + 404*t**4 - 652864*t**3 + 527514112*t**2 - 2273*t. Solve m(h) = 0 for h.
808
Let y(v) = 5*v**2 - v. Let l(h) = -2*h**3 - 851*h**2 - 915*h. Let s(t) = l(t) - 11*y(t). Find j, given that s(j) = 0.
-452, -1, 0
Suppose -143137 + 143197 = 30*u. Let z(o) be the second derivative of 7/39*o**3 + 6/13*o**u - 27*o + 1/78*o**4 + 0. Let z(i) = 0. What is i?
-6, -1
Let q(x) be the second derivative of -9*x**6/10 + 504*x**5/5 + 227*x**4 + 152*x**3 - 4310*x. Factor q(k).
-3*k*(k - 76)*(3*k + 2)**2
Let g(s) = -12356*s - 24710. Let r be g(-2). Find v such that -28/11 + 2/11*v**4 + 26/11*v**r + 18/11*v - 18/11*v**3 = 0.
-1, 1, 2, 7
Determine f, given that 404/5*f**2 - 128/5*f + 128/5*f**3 - 402/5 - 2/5*f**4 = 0.
-3, -1, 1, 67
Factor -25*t**2 + 1/3*t**4 - 6*t**3 + 588 + 1708/3*t.
(t - 14)**2*(t + 1)*(t + 9)/3
Let c(b) = 19*b**2 + 65*b - 110. Let k(l) = -15*l**2 - 65*l + 110. Let q(x) = 5*c(x) + 6*k(x). Factor q(y).
5*(y - 11)*(y - 2)
Let w(b) = b**2 + 21*b + 33. Let n be w(-15). Let t = n - -89. Suppose -t - 20*j**2 + 12*j**2 - 2*j**3 - 40*j - 8*j**2 = 0. What is j?
-4, -2
Suppose 105 = 8*m - 327. Factor -m + 54 - 15*p**2 + 14*p + p**3.
p*(p - 14)*(p - 1)
Let g(x) be the third derivative of -x**6/120 + 31*x**5/90 - 1105*x**4/216 + 338*x**3/9 - 112*x**2. Factor g(p).
-(p - 12)*(3*p - 13)**2/9
Let q(c) be the first derivative of -c**3/3 - 63*c**2 - 248*c - 1184. Solve q(r) = 0 for r.
-124, -2
Let u = 6696 + -6690. Factor -2/3*l**2 + 20/3 - u*l.
-2*(l - 1)*(l + 10)/3
Let n = -923 + 927. Let w be 14/(-42)*1/(n/(-3)). Factor -6 - 7*v - 5/2*v**2 - w*v**3.
-(v + 2)**2*(v + 6)/4
Let r = 60740 + -60738. Suppose -1/7*f**r - 2*f - 7 = 0. Calculate f.
-7
Let h be (3/((-27)/6))/(7/(-42)). Let w(c) be the first derivative of 0*c - 1/5*c**2 + h + 2/15*c**3. Factor w(u).
2*u*(u - 1)/5
Let c(z) be the third derivative of z**7/3360 - z**6/360 - z**5/40 + 19*z**3/3 - z**2 + 80*z. Let g(o) be the first derivative of c(o). Factor g(b).
b*(b - 6)*(b + 2)/4
Let v(i) be the third derivative of -i**7/8820 + 5*i**6/504 - 2*i**5/35 + 11*i**4/3 - 8*i**2 + 4*i. Let o(t) be the second derivative of v(t). Factor o(p).
-2*(p - 24)*(p - 1)/7
Let h(o) = 520*o + 520. Let a(t) = -5*t**2 - 163*t + 260 + 209*t + 6*t**2 + 215*t. Let j(i) = 5*a(i) - 2*h(i). Factor j(y).
5*(y + 1)*(y + 52)
Let g be (-124)/(-32)*(-7958)/299. Let s = 415/4 + g. Factor 6/13*v + s - 2/13*v**2.
-2*(v - 4)*(v + 1)/13
Let i(t) = -7*t**2 + 14*t + 483. Let p(a) = -4*a**2 + 7*a + 242. Let y(l) = -3*i(l) + 5*p(l). Let v be y(20). Factor 3/2*x**2 + v*x + 147/2.
3*(x + 7)**2/2
Suppose -4*n = 0, n = 3*i - n - 12. Let v = -1715 + 1717. Find f such that -4*f**v - 4*f - f**2 + i + 6*f**2 = 0.
2
Let h = 67908 + -271631/4. Let 1/2*o**3 - 1 - 2*o + h*o**4 - 3/4*o**2 = 0. Calculate o.
-2, -1, 2
Factor -34*o**2 + 2*o**3 + 2*o**5 + 24 - 44*o + 0*o**5 + 20 - 127 + 10*o**4 + 67.
2*(o - 2)*(o + 1)**3*(o + 4)
Suppose 5*t + 5*d = -7 - 8, -d = 5. Suppose t*q - 60 = 38. Suppose q*k**2 + 46*k**3 - 32*k**2 - 57*k**2 + 8*k - 14*k**4 = 0. What is k?
0, 2/7, 1, 2
Let s be (-3)/(-14) + (4/(-49))/(1080/(-3780)). Let -1/4*k**4 + s*k**2 - 3/4*k**3 + 3*k + 2 = 0. Calculate k.
-2, -1, 2
Let r(p) be the third derivative of -69*p**2 - 1/30*p**6 + 0*p + 2/105*p**7 + 0*p**5 + 0*p**3 + 0 + 0*p**4. Factor r(h).
4*h**3*(h - 1)
Let z(a) be the third derivative of -a**7/7560 + 2*a**6/135 + a**4/24 + 13*a**3/3 + 15*a**2 + 4. Let m(l) be the second derivative of z(l). Fa