4*j**3 + 2232036*j = 0.
996
Let j = -74573 + 74576. Find w, given that 0 + 2/3*w**j + 16/3*w + 4*w**2 = 0.
-4, -2, 0
Suppose -5*i = -4*a + 37, -1048*i + 1051*i + 18 = a. Factor 13/3*l**2 - 7/3 + 8/3*l - 2/3*l**a.
-(l - 7)*(l + 1)*(2*l - 1)/3
Determine w so that -2/3 + 124/3*w**2 - 122/3*w = 0.
-1/62, 1
Suppose 3*y - 60 = -2*f, -4*y + 89 = 3*f + y. Factor -229*k + 355*k - 193*k - 35*k**2 - k**3 - f.
-(k + 1)**2*(k + 33)
Let l(z) be the third derivative of 9/40*z**5 + 1/140*z**7 + 4*z**2 + 1/2*z**3 + 0 - 7/16*z**4 + 3*z - 1/16*z**6. Factor l(g).
3*(g - 2)*(g - 1)**3/2
Suppose -16*k = -13*k - 12. Determine b so that -1 - 40*b + 3*b**3 - 3*b**k + 37*b + 9*b**2 - 5 = 0.
-1, 1, 2
Factor -934*g - 1/2*g**2 - 436178.
-(g + 934)**2/2
Let r = -112818/5 - -22566. Factor 1/5*i**2 + 0 - r*i.
i*(i - 12)/5
Let z(k) be the first derivative of 3*k**5/20 + 69*k**4/2 + 2526*k**3 + 56580*k**2 + 504300*k + 6503. Factor z(i).
3*(i + 10)**2*(i + 82)**2/4
Let 238/3*h - 52/3 - 10/3*h**4 + 154/3*h**3 - 110*h**2 = 0. Calculate h.
2/5, 1, 13
Let 685584/5 + 3312/5*i + 4/5*i**2 = 0. Calculate i.
-414
Suppose -3*x - 5 = -3*t - 20, 0 = x - 2*t - 6. Let 264 + 2*n**2 - 3*n**2 + 15*n - 244 - x*n**2 = 0. What is n?
-1, 4
Let a(r) be the third derivative of -r**7/14 - 29*r**6/45 - 37*r**5/30 + r**4 + 47*r**3/6 + 7*r**2 - 3*r. Let m(h) be the first derivative of a(h). Factor m(o).
-4*(o + 1)*(o + 3)*(15*o - 2)
Let d be 2*-804*(88/(-12) + 4). Factor d*n**2 + 11520 - 1140*n**3 + 7*n**5 - 12480*n + 120*n**4 - 11*n**5 + n**5 - 2*n**5.
-5*(n - 6)**2*(n - 4)**3
Let b(x) be the third derivative of x**5/20 + 57*x**4 + 25992*x**3 + 205*x**2. Factor b(d).
3*(d + 228)**2
Let m = -8490/37 - -14/111. Let c = 240 + m. Solve c + 24*o**2 + 80/3*o + 4/3*o**4 + 28/3*o**3 = 0.
-2, -1
Let f(y) be the first derivative of y**4/20 - 11*y**3/15 - 13*y**2/5 - 2048. Suppose f(q) = 0. Calculate q.
-2, 0, 13
Let t(p) be the second derivative of p**6/240 + p**5/60 - 40*p**2 + p + 6. Let z(q) be the first derivative of t(q). Suppose z(h) = 0. What is h?
-2, 0
Let t be (420/(-63))/((-95)/57). Let u(r) be the first derivative of -17/2*r**3 + 6*r - 3/2*r**5 - 27/4*r**t + 0*r**2 + 28. What is w in u(w) = 0?
-2, -1, 2/5
Let q(h) = 2845*h**3 - 2195*h**2 + 405*h. Let y(t) be the first derivative of 79*t**4 - 244*t**3/3 + 45*t**2/2 - 222. Let k(f) = -4*q(f) + 35*y(f). Factor k(d).
-5*d*(8*d - 3)**2
Let o(f) be the third derivative of -f**8/336 + 17*f**7/70 - 119*f**6/60 + 31*f**5/5 - 23*f**4/3 + 1970*f**2. Let o(r) = 0. What is r?
0, 1, 2, 46
Factor -26/3*d**4 + 2/3*d**5 + 0 - 90*d**2 + 42*d**3 + 72*d.
2*d*(d - 4)*(d - 3)**3/3
Let b be 45 - (-16764)/(-352) - -3. Factor -27/2*o + 0 - b*o**3 + 9/2*o**2.
-3*o*(o - 6)**2/8
Let i = -196131 - -196134. Solve -160/11*d**2 - 46/11*d**4 - 168/11*d**i + 0 + 128/11*d - 4/11*d**5 = 0 for d.
-4, 0, 1/2
Determine t so that -270 - 3*t**3 - 4*t**4 + 926951*t**2 - 926882*t**2 + t**4 - 9*t = 0.
-5, -2, 3
Find b such that 72768*b - 3*b**2 - 67665*b - 47 - 5053 = 0.
1, 1700
Let s be 1946/(-2982) - 2/(-3). Let t = 413/923 + s. Determine a so that t*a**3 - 6/13*a**5 + 2/13*a**2 + 0*a + 0 - 2/13*a**4 = 0.
-1, -1/3, 0, 1
Let g = -4399 + 4399. Let p(w) be the third derivative of 7/40*w**6 + 30*w**2 - 19/20*w**5 + g - 3/4*w**4 + 0*w**3 + 0*w. Factor p(k).
3*k*(k - 3)*(7*k + 2)
Let o(f) = 151*f**2 + 32512*f + 1797188. Let n(g) = -603*g**2 - 130047*g - 7188762. Let c(h) = -4*n(h) - 15*o(h). Determine i so that c(i) = 0.
-774/7
Let h(w) be the first derivative of -2*w**6/3 + 16*w**5/5 + 610*w**4 - 30112*w**3/3 + 26430*w**2 - 25200*w - 5392. Solve h(r) = 0.
-28, 1, 15
Let q be ((-20)/25 + 0)/((-3)/(-75)). Let p = -20 - q. Suppose 3/2*f**5 + 3/2*f**4 + p*f**2 + 0 + 0*f - 3*f**3 = 0. Calculate f.
-2, 0, 1
Let a(k) be the second derivative of k**4/3 - 802*k**3/3 - 804*k**2 - 123*k + 3. Determine p so that a(p) = 0.
-1, 402
Find m, given that -80*m**3 + 42 - 160 - 182 - 1096*m**2 - 1285*m + 31*m**2 = 0.
-12, -1, -5/16
Let q(v) = 1869*v + 1899. Let k(l) = l**2 + 1880*l + 1899. Let z(w) = 3*k(w) - 2*q(w). Determine f so that z(f) = 0.
-633, -1
Let x(y) be the second derivative of -y**7/14 + 141*y**6/10 + 1287*y**5/20 + 431*y**4/4 + 72*y**3 - 8*y - 227. Factor x(q).
-3*q*(q - 144)*(q + 1)**3
Let a(m) = 4*m**3 - 249*m**2 + 67*m - 310. Let f be a(62). Let b(y) be the first derivative of -47 + 0*y - 1/10*y**5 + 0*y**2 - 1/8*y**4 + f*y**3. Factor b(g).
-g**3*(g + 1)/2
Suppose 66 = 284*o - 786. Let x = 10 - 6. Suppose 4/3*v**4 - x*v + 8/3*v**5 + 44/3*v**2 - 44/3*v**o + 0 = 0. What is v?
-3, 0, 1/2, 1
Let b = 3041 + -3035. Let a(s) be the third derivative of 0 + 5/4*s**5 + 0*s + 0*s**3 - 16*s**2 - 7/24*s**b + 1/42*s**7 - 15/8*s**4. Factor a(k).
5*k*(k - 3)**2*(k - 1)
Let g(p) = 8*p - p - 1 - 5*p + 4. Let w be g(0). Factor 8*b**3 + 12*b**3 + w*b**2 - 9*b + 5 - 23*b**3 + 4*b**3.
(b - 1)**2*(b + 5)
Suppose 5*q = -4*n + 33, -3 = 5*n - 13. Let t be 15915/2340 + 3 - 2/39. Find b, given that t*b**2 + 12*b - 51/4*b**4 + 3 - 15/4*b**q - 33/4*b**3 = 0.
-2, -1, -2/5, 1
Let s = -10376 + 10385. Let a(z) be the first derivative of 0*z + 1/25*z**5 - 1/15*z**3 - s + 0*z**2 + 0*z**4. What is w in a(w) = 0?
-1, 0, 1
Suppose -j - 1903 = j - 1907. Determine f so that -15/2*f**j + 33/2*f**3 + 0 + 0*f + 3/2*f**5 - 21/2*f**4 = 0.
0, 1, 5
Let o be ((-9)/12)/((-4)/16). Let f(z) be the first derivative of 0*z + 9*z - z**o - 6*z**2 - 18*z - 12. Let f(c) = 0. What is c?
-3, -1
Let j = -178 - -177. Let q be (-14)/(-4) - (1 - j). Determine k so that 0 + 3/4*k**3 + 3/4*k + q*k**2 = 0.
-1, 0
Let g(c) = 12*c**2 - 2896*c + 2876. Let d(s) = 2*s**2 - s - 3. Let p(z) = 4*d(z) - g(z). Factor p(l).
-4*(l - 722)*(l - 1)
Let u(o) be the first derivative of -o**7/2940 - o**6/252 - o**5/105 + o**3/3 + 7*o**2 + 165. Let j(b) be the third derivative of u(b). Solve j(h) = 0 for h.
-4, -1, 0
Let t(a) be the first derivative of -a**3/6 - 7*a**2/4 + 319*a - 1047. Suppose t(b) = 0. What is b?
-29, 22
Let o = 336 - 333. Suppose 4*w = o*b + 14, 0 = b - 114*w + 112*w + 8. Factor 0*m - 1/5*m**b + 0.
-m**2/5
Let o be 13/7 + -2 - -6*(-1479)/(-17136). Let x(w) be the second derivative of o*w**5 + 0*w**2 + 0 + 0*w**3 + 35*w - 5/12*w**4 - 1/12*w**6. Factor x(j).
-5*j**2*(j - 2)*(j - 1)/2
Let g = -43 - -35. Let l be ((-3)/(-2) - 0)/((-6)/g). Factor 3*j**3 + 6*j**3 - 9*j + 0*j**3 - 6*j**3 + 6*j**l.
3*j*(j - 1)*(j + 3)
Let b(f) = 14*f**3 + 590*f**2 - 2374. Let m(l) = 6*l**3 - 2*l**2 + 4*l + 1. Let i(r) = b(r) - 2*m(r). Factor i(g).
2*(g - 2)*(g + 2)*(g + 297)
Let u(j) be the second derivative of 7*j + 30*j**2 - 125/6*j**3 - 1/4*j**5 + 35/6*j**4 - 1. Let u(b) = 0. Calculate b.
1, 12
Let b(a) be the second derivative of -a**7/126 + 38*a**6/45 - 1589*a**5/60 + 2773*a**4/18 - 368*a**3 + 432*a**2 - 859*a. Determine k, given that b(k) = 0.
1, 2, 36
Suppose -a = 7, 28 = 4*t - 38*a + 34*a. Let s(y) be the first derivative of 8/15*y**5 - 14 + y**4 + 0*y + t*y**2 - 8/9*y**3. Find d, given that s(d) = 0.
-2, 0, 1/2
Let z(p) be the third derivative of p**6/240 + p**5/15 - p**4/12 - 8*p**3/3 + 748*p**2. Solve z(g) = 0.
-8, -2, 2
Let g(d) = 5*d**2 + 285*d - 305. Let m(n) = -69 + 71*n - 20*n**2 - n**2 + 11*n**2 + 11*n**2 - 7. Let c(j) = 4*g(j) - 15*m(j). Find x such that c(x) = 0.
-16, 1
Factor 0 - 2/5*m**2 + 66*m.
-2*m*(m - 165)/5
Let p(l) be the first derivative of 2*l**3/21 + 852*l**2/7 + 362952*l/7 - 574. Factor p(h).
2*(h + 426)**2/7
Let q be -22*((-41162)/3146 + 13). Factor 28/13*l**4 + 0*l - 50/13*l**3 - 2/13*l**5 + q*l**2 + 0.
-2*l**2*(l - 12)*(l - 1)**2/13
Factor -1600/7*l**2 + 0 + 2/7*l**5 + 0*l + 640/7*l**3 + 76/7*l**4.
2*l**2*(l - 2)*(l + 20)**2/7
Let d = 6081 - 6077. Let h(w) be the third derivative of -18*w**2 + 0*w**d + 0*w**3 + 2/15*w**5 - 1/30*w**6 + 0*w + 0. Factor h(u).
-4*u**2*(u - 2)
Factor 2/11*x**2 - 486/11 - 36/11*x.
2*(x - 27)*(x + 9)/11
Let m(h) = -2*h**3 + h**2 + 2*h - 3. Let y(n) = -n**4 - 3*n**3 - 2*n**2 + 32*n + 6. Let c(p) = -2*m(p) - y(p). Factor c(a).
a*(a - 2)*(a + 3)*(a + 6)
Let d be (2/12)/((-4)/9*8/(-32)). Let x(i) = 7*i - 41. Let o be x(6). Solve -d*r - 1/2*r**2 - o = 0.
-2, -1
Let p be -3*20*(-47)/94. What is h in -8*h + 48 + 21*h**2 - 10*h**2 + p*h - 9*h**2 = 0?
-8, -3
Let c be (3/(-27))/(10/(-1980)*-22) + 70/56. Find x such that 1/2*x**2 + 3/