 + 23*r + 88.
-4*(r - 11)*(r + 2)
Let x(t) be the third derivative of t**6/600 - 3*t**5/20 + 11*t**4/30 - 2*t**2 - 2096. Factor x(b).
b*(b - 44)*(b - 1)/5
Suppose 203*b**3 - 177 + 111*b - 418*b**3 + 214*b**3 - 55*b**2 + 122*b = 0. Calculate b.
-59, 1, 3
Let w(p) be the second derivative of 2/15*p**3 - 32 - 1/30*p**4 - p + 3/5*p**2. Factor w(f).
-2*(f - 3)*(f + 1)/5
Let t be -69 - (16608/(-120) + 67). Let v = 487/110 + -3/110. Suppose -t - 2/5*s**3 + v*s - 8/5*s**2 = 0. What is s?
-6, 1
Let h(t) be the third derivative of t**8/3696 + t**7/4620 - t**6/792 - t**5/660 + 9*t**3 + 50*t**2. Let r(y) be the first derivative of h(y). Factor r(n).
n*(n - 1)*(n + 1)*(5*n + 2)/11
Suppose -16 + 14 = -s. Let p be 85/10 - (s + 1) - 3. Let d**5 - p*d**2 + 5*d**3 + 0*d + 1/4 - 15/4*d**4 = 0. What is d?
-1/4, 1
Suppose 2154*k = 1940*k + 856. Factor 0 + 0*u + 4/9*u**k - 8/3*u**2 + 20/9*u**3.
4*u**2*(u - 1)*(u + 6)/9
Factor -15 + 3/4*b**2 + 179/4*b.
(b + 60)*(3*b - 1)/4
Let r = 292971/11 + -26619. Solve r*i - 36/11*i**2 + 0 + 2/11*i**3 = 0 for i.
0, 9
Let y be (-51)/(-21) - 6/14. Let c(t) = 220*t**2 + 1650*t + 475. Let m(j) = 13*j**2 + 97*j + 28. Let q(o) = y*c(o) - 35*m(o). Suppose q(a) = 0. What is a?
-6, -1/3
Suppose 0 = -16*z - 2*z - 576. Let k be (1 + 3/(-12))/((-40)/z). Factor -12/5*t**2 + 0 + k*t**3 + 0*t.
3*t**2*(t - 4)/5
Suppose -3*c = c - 12, c = -2*t + 3. Let x be 43 - 1120/21 - -12. Factor 1/3*j**5 - x*j**2 + t + 5/3*j**4 + 2*j - 7/3*j**3.
j*(j - 1)**2*(j + 1)*(j + 6)/3
Let p(d) be the second derivative of -5*d**7/42 + 191*d**6/6 - 9403*d**5/4 + 135365*d**4/12 - 66740*d**3/3 + 22090*d**2 + 2102*d. Factor p(i).
-5*(i - 94)**2*(i - 1)**3
Suppose -2*k = -4*n - 0*n, 4*k = -n. Factor -5*d**4 - d**5 - 10*d**2 + 18*d**2 + 18 - 33*d + 3*d**4 + k*d**4 + 10*d**3.
-(d - 2)*(d - 1)**2*(d + 3)**2
Let x(b) be the first derivative of 9*b**5/5 - 357*b**4/20 + 251*b**3/5 - 483*b**2/10 + 18*b - 1173. Find q, given that x(q) = 0.
1/3, 3/5, 2, 5
Let -404*f + 792 + 2090*f + 108*f**3 + 1188*f**2 - 248*f**2 + 5*f**4 + 59*f**2 - 2*f**4 = 0. What is f?
-22, -12, -1
Let l(q) be the second derivative of -2*q**6/15 + 976*q**5/5 + 3024*q. Solve l(m) = 0.
0, 976
Let r(b) be the second derivative of -b**6/60 - b**5/10 - 22*b**2 - 16*b - 1. Let c(d) be the first derivative of r(d). Factor c(m).
-2*m**2*(m + 3)
Let y(l) = 136*l - 276*l + 139*l + l**3. Let s(g) = 3*g**4 + 30*g**3 + 30*g**2 + 3*g. Let t(r) = s(r) + 3*y(r). Suppose t(a) = 0. Calculate a.
-10, -1, 0
Let o(m) be the first derivative of -124 + 9/8*m**4 - 33/4*m**2 - 45/2*m + 7/2*m**3. Factor o(l).
3*(l + 1)*(l + 3)*(3*l - 5)/2
Let j(o) = o. Let g(x) = 9*x - 17. Let i(f) = -g(f) + 6*j(f). Let z be i(2). Factor -z*t**3 - 2*t + 5*t**2 + 10*t**3 - 3*t + t**2.
-t*(t - 5)*(t - 1)
Let q = -571876/35 - -81698/5. Let -800/7 - q*j**2 - 80/7*j = 0. What is j?
-20
Let u(r) = r**3 - r**2 + 1. Let a(x) = 5*x**4 - 9*x**3 - x**2 + 5*x - 4. Suppose -3*t = -2*t, 4 = z + 4*t. Let i(o) = z*u(o) + a(o). Factor i(m).
5*m*(m - 1)**2*(m + 1)
Let r = 1109 - 1106. Let p(x) be the second derivative of 0 + 0*x**2 + 1/12*x**4 + 18*x + 1/20*x**5 + 0*x**r. Factor p(k).
k**2*(k + 1)
Let s(q) be the first derivative of -q**6/10 + 63*q**5/20 - 30*q**4 + 50*q**3 - 77*q - 49. Let l(x) be the first derivative of s(x). Factor l(u).
-3*u*(u - 10)**2*(u - 1)
Suppose 28*q - 456 = -10*q. Let l(n) be the first derivative of -75/4*n - q + 15/4*n**2 - 1/4*n**3. Factor l(h).
-3*(h - 5)**2/4
What is d in 102*d**2 - 135/2 + 2*d**5 - 5/2*d**4 + 9*d - 43*d**3 = 0?
-5, -3/4, 1, 3
Let u(x) = x - 2. Let v be u(-3). Let w be -1 - (-10)/v - -28. Suppose 8*r + 11 + 1 + 7*r - 2 - w*r**2 = 0. Calculate r.
-2/5, 1
Suppose 32*f = 56*f - 48. Factor 14*i**f - i - i - 1601 + 1585.
2*(i + 1)*(7*i - 8)
Let y be (-289 - -3)*3/6. Let q = y + 143. Factor 2/7*w**4 + 0*w + q + 2/7*w**2 + 4/7*w**3.
2*w**2*(w + 1)**2/7
Suppose -141*c + 138*c = -2*r + 9, -3*c + 21 = 3*r. Let k(l) be the first derivative of 3/4*l**4 + 18*l**2 + 24*l + 4 + r*l**3. Factor k(f).
3*(f + 2)**3
Factor 868/3*q - 428 - 4/3*q**3 + 140*q**2.
-4*(q - 107)*(q - 1)*(q + 3)/3
Let x = -39/12703 - -51163/114327. Determine u so that 2/9*u**3 + 10/9*u**2 + x*u - 16/9 = 0.
-4, -2, 1
Let d = 70 - 68. Factor 70*y**4 - 86*y**4 - 8*y**d - 20*y**3 - 5*y**5 + y**5.
-4*y**2*(y + 1)**2*(y + 2)
Let i(r) be the second derivative of -1/5*r**3 + 16 - r - 3/100*r**5 + 0*r**2 + 3/20*r**4. Factor i(d).
-3*d*(d - 2)*(d - 1)/5
Let b(d) = d**3 - 11*d**2 - 14*d + 26. Let w be b(12). Let 4*y - 65*y**w + 57 + 11 + y - 5*y**3 - 7 + 4 = 0. Calculate y.
-13, -1, 1
Let s = -137 - -147. Let -144*z**2 + 4*z**4 + s*z**3 + 26*z**3 - 7*z**4 + 192*z = 0. Calculate z.
0, 4
Let l be -96 + (-2 - 8/8). Let d be (154/l)/(-3 + 1 + 0). Factor -8/9*z - 4/9 - d*z**3 + 19/9*z**2.
-(z - 2)*(z - 1)*(7*z + 2)/9
Factor 5/4*y + 3/2 - 1/4*y**2.
-(y - 6)*(y + 1)/4
Let t(a) = -a**3 + a**2 - 2*a + 2. Let u be t(0). Factor u*l**2 + 34*l**2 - 57*l + 17*l**2 + l**2 + 18 - 15*l**3.
-3*(l - 2)*(l - 1)*(5*l - 3)
Suppose -293 = 78*j - 761. Suppose a + 4*t = -6, -2*a + 34*t = 39*t + j. Determine x so that 12/5*x + 2/5*x**2 + a = 0.
-5, -1
Let j(r) = 23*r - 136. Let s be j(6). Suppose -64*y**2 + 65 - 24*y + 66*y**s - 22 + 29 = 0. What is y?
6
Solve -106872 + 285*s - 108126 + 211623 + 10*s**2 = 0.
-75/2, 9
Factor 268*t**2 - 5*t**3 + 9*t**3 + 3532*t + 700*t + 18800 - 72*t.
4*(t + 10)**2*(t + 47)
Let p = -1/1733 - -1766/57189. Let l(z) be the third derivative of 1/330*z**5 + 0 - 1/165*z**6 + p*z**4 - 1/33*z**3 - 13*z**2 + 0*z. What is b in l(b) = 0?
-1, 1/4, 1
Let y be -7*(-1)/(-7)*2559/(-51) - 1*-7. Factor 0 + 2/17*v**5 - 52/17*v**4 - y*v**2 - 1458/17*v + 432/17*v**3.
2*v*(v - 9)**3*(v + 1)/17
Let d = -6/2027 - 62777/20270. Let j = -13/5 - d. Suppose j*x**2 - 11/4*x + 5/4 = 0. Calculate x.
1/2, 5
Let a(y) be the first derivative of -5*y**4/14 - 8*y**3/3 + 467*y**2/7 - 52*y - 675. Suppose a(p) = 0. Calculate p.
-13, 2/5, 7
Factor -11552/11*h + 0 - 2/11*h**3 - 304/11*h**2.
-2*h*(h + 76)**2/11
Let g(j) = j**3 - 3*j**2 + 3. Let f be g(3). Suppose 2*v - 14 = 5*t - 38, -33 = -3*t - 5*v. Factor 0*l**2 - 6*l - 819*l**f - t*l**2 - 2 + 817*l**3.
-2*(l + 1)**3
Let s(y) = -14*y - 430. Let b be s(-31). Let i(o) be the third derivative of 0*o**3 + 0*o - 1/420*o**7 + 0 - 5*o**2 + 0*o**b + 0*o**6 + 0*o**5. Factor i(g).
-g**4/2
Let y be 8 + ((-3958)/(-11) - (-21 + 7)). Suppose 558/11*t + 108/11 - y*t**5 - 48*t**2 - 6498/11*t**3 - 9720/11*t**4 = 0. What is t?
-1, -3/10, 2/7
Factor -435*s + 25/3*s**3 + 23*s**2 - 450 + 1/3*s**4.
(s - 6)*(s + 1)*(s + 15)**2/3
Let u(v) = -v**2 - 52*v - 1232. Let d(i) = -4*i**2 - 256*i - 6160. Let k(z) = -5*d(z) + 24*u(z). Factor k(a).
-4*(a - 22)*(a + 14)
Let g(o) be the third derivative of o**5/690 - 37*o**4/92 - 20*o**3/3 - 3590*o**2. Factor g(d).
2*(d - 115)*(d + 4)/23
Suppose 15249 - 3603 = 3882*p. Determine u, given that -300/11 - 2/11*u**p + 8/11*u**2 + 70/11*u = 0.
-6, 5
Let u = -923 - -925. Let k(r) be the first derivative of 4/5*r**5 + 0*r**2 - 27 + 4/3*r**3 + 0*r + u*r**4. Suppose k(w) = 0. Calculate w.
-1, 0
Let r = -1873621 - -1873623. Determine o, given that 4/11*o**3 + 8/11 - 24/11*o - 6/11*o**4 + 18/11*o**r = 0.
-2, 2/3, 1
Suppose 6*l = -l + 343. Let u = -46 + l. Factor 0*d**3 + 10*d**2 + 5*d + 3*d**3 + 2*d**u.
5*d*(d + 1)**2
Suppose 482*a = -832*a - 1025 + 6281. Factor -3370*r**3 - 2/5*r**5 + 281216/5 + 316/5*r**a + 313976/5*r**2 - 578656/5*r.
-2*(r - 52)**3*(r - 1)**2/5
Let l(z) = 3*z**3 + 1312*z**2 - 421205*z + 837214. Let m(a) = -a**3 - 4*a**2 + 2*a + 1. Let k(c) = -l(c) - 4*m(c). Find d such that k(d) = 0.
2, 647
Let o(x) be the third derivative of 2*x**2 - 9 - 1/480*x**6 + 1/96*x**4 - 1/24*x**3 + 1/240*x**5 + 0*x. Factor o(r).
-(r - 1)**2*(r + 1)/4
Let l = -5/6 + 4/3. Let u = 1199/36 - 595/18. Factor l*z - 3/4 + u*z**2.
(z - 1)*(z + 3)/4
Let w be (931/399)/(-1 - (-17)/18). Let h be ((-10)/45 - w/108)*9. Find p, given that -3/8*p + 3/4*p**3 + h - 3/8*p**5 + 3/2*p**4 - 3*p**2 = 0.
-1, 1, 4
Let o(s) = -3*s**3 - 134*s**2 - 605*s + 749. Let g(p) = -p**3 - 45*p**2 - 202*p + 250. Let v(r) = -7*g(r) + 2*o(r). Factor v(w).
(w - 1)*(w + 6)*(w + 42)
Let z(p) be the first derivative of p**5/36 - 5*p**4/12 + 5*p**3/2 + 47*p**2/2 - 1. Let a(q) be the second derivativ