2589 - 82585. Factor -2/3*o**3 + 10/3*o + 4/3*o**2 - p.
-2*(o - 3)*(o - 1)*(o + 2)/3
Factor -178/9 - 2/9*d**2 - 20*d.
-2*(d + 1)*(d + 89)/9
Let r(s) be the third derivative of s**5/150 - 151*s**4/15 - 449*s**2. Determine k, given that r(k) = 0.
0, 604
Let g(i) be the first derivative of 3*i**4/20 + 57*i**3/5 - 177*i**2/5 + 8255. Factor g(t).
3*t*(t - 2)*(t + 59)/5
Let b(q) be the third derivative of q**7/2520 + q**6/720 - 33*q**4/8 + 8*q**2 - 7. Let n(z) be the second derivative of b(z). Suppose n(h) = 0. What is h?
-1, 0
Let v(u) = 62*u**2 - 3*u**3 - 3*u**3 - 598*u + 1998 + 0*u**2 + 0*u**3. Let a(r) = 20*r**3 - 187*r**2 + 1793*r - 5993. Let l(z) = -2*a(z) - 7*v(z). Factor l(s).
2*(s - 10)**3
Let y(d) be the first derivative of -10 + 1/9*d**4 - 6*d - 14/3*d**2 + 4/3*d**3. Let u(i) be the first derivative of y(i). Factor u(o).
4*(o - 1)*(o + 7)/3
Let l = -810 + 814. Suppose -l*j - 128 + 140 = 0. Factor -1/5*g**j - 8/5 + 2/5*g**2 + 4/5*g.
-(g - 2)**2*(g + 2)/5
Suppose -4*k - 99*y + 2 = -97*y, 3*k + 5*y = -9. Let f(w) be the first derivative of -17/40*w**4 - 3/20*w**k - 1/10*w + 28 + 1/2*w**3 + 3/25*w**5. Factor f(c).
(c - 1)**3*(6*c + 1)/10
Let z = -69/2260 + 16/339. Let d(h) be the third derivative of 0 + 20*h**2 + 0*h + h**3 - 1/10*h**5 - 1/12*h**4 + z*h**6. Factor d(q).
2*(q - 3)*(q - 1)*(q + 1)
Let u(l) be the second derivative of l**4/6 + 48*l**3 + 560*l**2 + 664*l. Solve u(v) = 0 for v.
-140, -4
Let f be (-1)/(-4) - 11/(-4). Let k(x) be the third derivative of 8*x**2 + 0*x**4 - 8/3*x**f + 0*x + 1/5*x**5 + 0 + 1/30*x**6. Solve k(l) = 0.
-2, 1
Determine k so that -50*k**3 + 304*k**2 + 30*k**3 + 8*k**3 + 16*k**4 - 228*k - 58*k**3 + 40 - 62*k**3 = 0.
1/4, 1, 2, 5
Let k(m) = -15*m**4 - 9*m**3 + 48*m**2 - 96. Let x(r) = 23*r**4 + 14*r**3 - 69*r**2 + 144. Let t(a) = -14*k(a) - 9*x(a). Let t(q) = 0. Calculate q.
-4, -1, 1, 4
Suppose 4*u - 25*u**3 - 36536*u**2 + 193*u + 23*u + 20*u + 36816*u**2 = 0. Calculate u.
-4/5, 0, 12
Let g(x) = 5*x**2 + 8236*x + 5655373. Let y(t) = -36*t**2 - 57651*t - 39587604. Let n(k) = 15*g(k) + 2*y(k). Factor n(l).
3*(l + 1373)**2
Let g(u) be the third derivative of 0 - 55*u**2 - 1/32*u**4 + 0*u**3 - 9/896*u**8 + 0*u + 7/160*u**5 - 1/80*u**7 + 11/320*u**6. Find v, given that g(v) = 0.
-1, 0, 2/9, 1
Let n(l) be the third derivative of l**5/60 + 280*l**4/3 + 627200*l**3/3 + 12382*l**2. Solve n(a) = 0 for a.
-1120
Let n(m) = -65*m**3 - 234*m**2. Let c(u) = -380*u**3 - 1405*u**2. Let j(g) = -6*c(g) + 35*n(g). Factor j(h).
5*h**2*(h + 48)
Let z be (-12)/(-9) - ((-12)/(-9))/(-60 - -61). Factor z + 2/3*v**4 - 20/3*v**3 + 0*v - 22/3*v**2.
2*v**2*(v - 11)*(v + 1)/3
Let k(u) = -79*u + 23. Let y be k(5). Let d = -370 - y. Factor 2/3*n - 2/3*n**3 + 1/3*n**4 - 1/3 + 0*n**d.
(n - 1)**3*(n + 1)/3
Suppose -4*a + 0*q + 29 = -3*q, 3 = a - 5*q. Let n(h) = h**2 - 89*h - 964. Let i be n(99). Suppose i - 22 + 12 - a*o**2 - 4*o**3 + 8 + 20*o = 0. Calculate o.
-3, -1, 2
Let w(v) be the third derivative of v**6/60 - 41*v**5/30 + 19*v**4/6 + 80*v**3/3 + 6713*v**2. Factor w(m).
2*(m - 40)*(m - 2)*(m + 1)
Let h(k) be the second derivative of -k**4/6 - 250*k**3/3 + 759*k**2 + 4*k + 411. Find x such that h(x) = 0.
-253, 3
Let l be -15*(36/(-27) + 1). Suppose -3*b - 11 = -l*t - 2*b, 0 = -2*b - 2. Suppose -1/7*c**4 - 8/7*c**3 - 24/7*c**t - 32/7*c - 16/7 = 0. Calculate c.
-2
Let b(t) be the first derivative of -t**6/3 - 4*t**5/5 + 7*t**4/2 + 40*t**3/3 + 12*t**2 - 583. Suppose b(k) = 0. What is k?
-2, -1, 0, 3
Let m(z) = 2*z + 14. Let k be m(-5). Let c(q) = -2*q**3 - q**2 - q - 1. Let x(w) = -11*w**3 + 4*w**2 - 20*w - 30. Let g(t) = k*x(t) - 20*c(t). Factor g(d).
-4*(d - 5)**2*(d + 1)
Let f = 236 - 233. Solve t + 21*t**3 - 57*t**3 + 31*t**f - 4*t**2 = 0.
-1, 0, 1/5
Let l(n) = 4*n**3 + 8*n**2 - 2*n - 6. Suppose 0 = -22*x + 6*x - 16. Let f(w) = -w**3 - 2*w**2 - w. Let c(t) = x*l(t) - 3*f(t). Factor c(b).
-(b - 2)*(b + 1)*(b + 3)
Let m(c) = -2*c**2 + 13*c + 12. Let q(o) = -33 - 28 - o**2 + 62 - o. Let l(s) = -m(s) - 3*q(s). Solve l(d) = 0.
-1, 3
Let f(d) be the third derivative of -d**5/330 + 3*d**4/22 - 17*d**3/33 + 779*d**2 + d. Factor f(u).
-2*(u - 17)*(u - 1)/11
Let k(p) be the second derivative of p**4/30 - 937*p**3/15 + 63*p - 29. Factor k(q).
2*q*(q - 937)/5
Let f be (-2)/(-7) - 416*47/(-42112). Suppose 3/4*r**3 + 1/4*r**4 + 1 - 5/4*r**2 - f*r = 0. Calculate r.
-4, -1, 1
What is k in -2*k + 29344*k**3 - 2*k**2 - 29334*k**3 + 5*k**2 + 24*k**2 + 16*k = 0?
-2, -7/10, 0
Let t(h) = -2*h**3 + 15*h**2 - 3*h + 2. Let k be t(7). Let z be k/(-5) + -5 + 11. Suppose -1/2*j**5 + 0*j + 0*j**2 + z*j**3 + 0 + 1/2*j**4 = 0. What is j?
0, 1
Let m(b) be the second derivative of -b**4/16 + 163*b**3/8 + 4241*b. Factor m(f).
-3*f*(f - 163)/4
Let a(m) = -4*m**2 - 2*m + 14. Let j be (-21)/9 - 16/(-12). Let o(f) = -f**2 - f + 2. Let u(p) = j*a(p) + 6*o(p). Let u(y) = 0. What is y?
-1
Suppose 65*j - 11 = 509. Find h, given that j*h + 522 + 522 - 4*h**3 + 4*h**2 - 1044 = 0.
-1, 0, 2
Let z be 0/(-2) - (0 + -3). Suppose 4*k - 12 + 2 = -v, 4 = z*k - v. Let -1/7 + 2/7*u**k + 1/7*u = 0. Calculate u.
-1, 1/2
Let j(b) = -4*b + 3. Let u be j(0). Factor g**4 - 15*g**3 - 9*g**3 - 9*g + 5*g + 27*g**u.
g*(g - 1)*(g + 2)**2
Let i(n) be the second derivative of n**7/840 - n**6/48 + 3*n**5/20 - 29*n**4/12 - 41*n. Let k(b) be the third derivative of i(b). Factor k(u).
3*(u - 3)*(u - 2)
Let z be 152/57*21/4. Solve 65*r - 28*r - z*r**3 + 3*r**5 - 18*r**2 - 1 + 6 - 14*r - 12*r + 13*r**4 = 0.
-5, -1, -1/3, 1
Let p(x) be the second derivative of -x**6/40 - x**5/20 + x**4/8 + x**3/2 + 35*x**2/2 - 11*x. Let q(t) be the first derivative of p(t). Solve q(i) = 0 for i.
-1, 1
Find p such that -112/3*p**2 - 472/3*p**3 + 0 + 52*p**4 + 0*p + 18*p**5 = 0.
-14/3, -2/9, 0, 2
Suppose 2*l + 4*j + 2 + 4 = 0, -14 = -2*l + j. Let p = -115391 + 115391. Factor -1/2*v**l + 0*v**2 + p + 5/6*v**4 + 0*v - 1/3*v**3.
-v**3*(v - 1)*(3*v - 2)/6
Find w, given that -2/23*w**4 - 132/23*w - 54/23 - 104/23*w**2 - 28/23*w**3 = 0.
-9, -3, -1
Let k(f) be the third derivative of 1/40*f**6 + 9/20*f**5 - 12*f**2 + 7/2*f**3 - 1 + 0*f + 15/8*f**4. Suppose k(t) = 0. Calculate t.
-7, -1
Let l(y) be the third derivative of 1/10*y**6 + 0*y**5 + 2*y + 0*y**3 + 0 + 1/112*y**8 + 13*y**2 + 0*y**4 - 2/35*y**7. Suppose l(t) = 0. What is t?
0, 2
Let d(v) = v**3 + 2*v**2 + 15*v - 1. Let g(q) = 6*q**3 + 537*q**2 - 15475*q + 116369. Let n(r) = 11*d(r) - g(r). Let n(j) = 0. Calculate j.
11, 46
Let f(s) = 9*s - 177. Let v be f(20). Suppose 2*o + o = 6. What is u in 18/19*u**o - 44/19*u**v + 16/19*u**4 - 4/19 + 14/19*u = 0?
-1/2, 1/4, 1, 2
Let p = 376/209 - -28/19. Factor 0*x + 0 + 6/11*x**5 + 48/11*x**2 + p*x**4 + 72/11*x**3.
6*x**2*(x + 2)**3/11
Let r be 196*(-2)/(-18) - (-3671 - -3689). Find t such that -2/3*t**4 + 4/3 - 6*t**2 + r*t**3 + 14/9*t = 0.
-1/3, 1, 2, 3
Let d be (-30 + 1)*80/(-1160). What is j in 2/19*j**d + 32/19 + 16/19*j = 0?
-4
Let j be 206/70 - (556/70 - 8). Let z(r) be the first derivative of -2/3*r**2 + 1/9*r**j - 5/3*r - 16. Let z(p) = 0. Calculate p.
-1, 5
Let k(g) be the third derivative of g**6/360 + 271*g**5/180 + 2055*g**4/8 + 2025*g**3/2 - 78*g**2 - 9. Factor k(q).
(q + 1)*(q + 135)**2/3
Find u such that 2685619/3*u + 139*u**3 - 19321*u**2 - 1/3*u**4 + 0 = 0.
0, 139
Determine x so that -361*x**2 - 1260 + 721*x**2 - 165*x - 365*x**2 = 0.
-21, -12
Let u be (365328/(-816914))/(3/(-7)). Solve -24/23*y**4 + 0 + 22/23*y**3 - 14/23*y**5 - 8/23*y + u*y**2 = 0.
-2, -1, 0, 2/7, 1
Let d(j) = 4*j**3 + 6*j**2 + 21*j - 16. Let q(t) = t**3 + 2*t**2 + 7*t - 4. Let y(x) = 2*d(x) - 7*q(x). Suppose y(p) = 0. What is p?
-1, 4
Let p(t) = t**3 - t. Let m(o) = -891 + 9*o**3 + 2*o**2 + 891 - 5*o - 5*o**3. Let v(d) = -2*m(d) + 10*p(d). What is f in v(f) = 0?
0, 2
Let z(d) be the third derivative of 5/24*d**4 + 7*d**2 - 13*d + 0 + 5/3*d**3 - 1/12*d**5. What is u in z(u) = 0?
-1, 2
Find v, given that -641 - 620*v + 512 + 441 + 304*v**2 + 4*v**3 = 0.
-78, 1
Let r be 1 + (-142)/(-10) + (-2)/10. Factor -4*u**2 + r - 4 + 5.
-4*(u - 2)*(u + 2)
Let y be (-32)/40*10/(-4). Factor -54*h + 8*h**2 - 2*h**3 - 6 - 9*h**2 - 10*h**y - 19*h**2 - 20.
-2*(h + 1)**2*(h + 13)
Let r(t) = -t**3 + 40*t**2 - 41*t + 91. Let n be r(39). Suppose n = 5*d + 13. Factor 4/7*m*