19*c**3 - 2168*c**2 - 390958*c - 1153377. Let t(l) = 7*l**3 - 723*l**2 - 130320*l - 384456. Let x(n) = 4*b(n) - 11*t(n). Let x(u) = 0. What is u?
-358, -3
Let w be (-50*13/780)/((-15)/24). Let y be (3/15)/((-3)/(-5)). Factor -y*t**2 + w + 0*t.
-(t - 2)*(t + 2)/3
Let i(d) be the third derivative of d**8/504 - d**7/45 + 11*d**6/180 + 7*d**5/90 - d**4/3 + 2738*d**2. Suppose i(m) = 0. What is m?
-1, 0, 1, 3, 4
Suppose 0 = 48*n + 40 - 184. Let z(r) be the first derivative of -16 + 0*r - 2/21*r**n + 4/7*r**2. Factor z(a).
-2*a*(a - 4)/7
Factor 2886025*l**3 + 28*l - 2886024*l**3 + 19*l**2 + 20*l.
l*(l + 3)*(l + 16)
Let u(j) be the third derivative of 5/12*j**5 + 141*j**2 + 0*j - 5/3*j**4 + 10/3*j**3 - 1/24*j**6 + 0. Factor u(s).
-5*(s - 2)**2*(s - 1)
Let 125*o + 305/3*o**2 - 750 + 1/3*o**4 + 11*o**3 = 0. Calculate o.
-15, -5, 2
Let h(m) be the first derivative of 15*m**4/4 + 1390*m**3/9 + 1195*m**2/6 - 50*m + 1290. Find q such that h(q) = 0.
-30, -1, 1/9
Suppose -4*a = -4, -4*a - 8 = -0*z - 4*z. Solve -p**z + 75*p - 45*p - p**2 - 30*p = 0.
-1, 0
Let f be (4 - 31)/((-87 + 2)/17). Factor 24/5*a**2 - f*a**4 + 0 - 12/5*a + 9/5*a**3.
-3*a*(a + 1)*(3*a - 2)**2/5
Let k(c) be the second derivative of -6*c - 1/48*c**6 + 1/3*c**4 + 0*c**2 + 3/80*c**5 - 1/336*c**7 - 2/3*c**3 - 9. Determine l so that k(l) = 0.
-4, 0, 1, 2
Suppose 0 = -2*j + 2*g + 2434, -4*j - 20*g + 4848 = -19*g. Let a = j - 20615/17. Factor a*m**3 + 14/17*m**5 - 4/17*m**2 + 0 + 24/17*m**4 + 0*m.
2*m**2*(m + 1)**2*(7*m - 2)/17
Let x(q) be the third derivative of 1/180*q**6 - 4*q**3 + 0*q + 29*q**2 + 0*q**4 + 1/30*q**5 + 0. Let c(t) be the first derivative of x(t). Factor c(v).
2*v*(v + 2)
Suppose 24*y = 7*y + 34. Let 0*s**y - 7*s**2 + 8*s**2 + 3*s**2 = 0. What is s?
0
Suppose -2*x**3 - 11368*x - 74*x**2 - 11560*x - 648 + 22208*x = 0. What is x?
-18, -1
Let g(x) be the third derivative of 2*x**7/105 + 617*x**6/15 - 1236*x**5/5 + 1855*x**4/3 - 2474*x**3/3 + 5*x**2 - 2*x + 147. Factor g(s).
4*(s - 1)**3*(s + 1237)
Let y(u) = u**2 + 2*u + 6. Let b(n) = 242*n**2 + 14484*n + 214227. Let v(o) = -b(o) - 3*y(o). Solve v(t) = 0 for t.
-207/7
Let f = 513762 - 513739. Factor -1/2*i**2 + 47/2 + f*i.
-(i - 47)*(i + 1)/2
Suppose 6*f + 2*f - 80 = 0. Suppose -f*x + 40 + 0 = 0. Let -12*r**3 - 6*r**4 + 4 + r**4 - 4*r**2 + r**4 + x + 12*r = 0. What is r?
-2, -1, 1
Suppose -38*g = -20*g - 54. Factor 81*q**2 - 1275*q - 442*q**3 + 437*q**g - 246*q**2 + 1445.
-5*(q - 1)*(q + 17)**2
Let s(y) = -30*y**3 + 94*y**2 + 158*y - 20. Let w(p) = -29*p**3 + 95*p**2 + 149*p - 20. Let x(f) = 5*s(f) - 6*w(f). Factor x(r).
4*(r - 5)*(r + 1)*(6*r - 1)
Let y(v) be the second derivative of -v**4/6 + 173*v**3/3 - 172*v**2 - 944*v. Find c, given that y(c) = 0.
1, 172
Let -289/2 + 8*i**2 - 1/4*i**3 - 221/4*i = 0. What is i?
-2, 17
Let t = -5566299/91 - -428487/7. Suppose -2/13*y**3 - 192/13*y - 44/13*y**2 + t = 0. What is y?
-12, 2
Find d, given that 17279595*d**2 - 17279590*d**2 + 1886*d + 502445 + 1284*d = 0.
-317
Suppose -h + 20 - 9 = 0. Let q = 26 - h. Find p such that -5*p**4 + 10 - 23*p - 5*p**3 + q*p**2 - 8*p + 56*p = 0.
-1, 2
Let n(s) = -19*s**5 + 20*s**4 + 136*s**3 - 238*s**2 + 71*s + 6. Let w(p) = p**4 - 3*p**2 - p - 3. Let a(o) = -n(o) + 4*w(o). Solve a(f) = 0 for f.
-3, -3/19, 1, 2
Let c = 19213/4 - 96057/20. Let o(l) be the first derivative of c*l**2 - 43 - 2/15*l**3 + 0*l. Factor o(n).
-2*n*(n - 2)/5
Let u = 59 + -252. Let k = u + 197. Solve 2/15*r**3 + 0 - 8/15*r**5 - 2/5*r**k + 0*r**2 + 0*r = 0.
-1, 0, 1/4
Factor -2675*l + 346*l**2 - 140*l**3 - 365*l + 2560 + 316*l**2 + 32*l**4 - 27*l**4 + 478*l**2.
5*(l - 16)*(l - 8)*(l - 2)**2
Let r(z) be the second derivative of -3*z**2 + 23/72*z**4 + 4*z - 9 - 7/180*z**6 - 7/40*z**5 + 1/252*z**7 + 10/9*z**3. Let r(y) = 0. What is y?
-2, 1, 9
Factor -1/9*o**3 - 4/9*o**2 + 0 - 1/3*o.
-o*(o + 1)*(o + 3)/9
Let a(u) be the third derivative of -u**5/40 - 227*u**4/16 + 57*u**3 + 2*u**2 - 79*u. Determine t, given that a(t) = 0.
-228, 1
Let z(u) be the first derivative of u**6/3 - 80*u**5 + 9997*u**4/2 + 1204*u**3/3 - 30400*u**2 + 40000*u + 1660. Let z(p) = 0. What is p?
-2, 1, 100
Suppose 3*h - m - 4624 = 0, -4*h - 1037 = -m - 7203. Factor 60*s**2 + h*s - 3*s**3 + 1849*s - 3691*s.
-3*s*(s - 10)**2
Determine b so that 1/6*b**4 - 58/3*b**3 + 1367/3*b**2 + 33075/2 + 6090*b = 0.
-5, 63
Let v(f) = f**3 + 80*f**2 - 153*f - 20. Let t be v(2). Factor 3/2 + 1/2*h**3 + 5/2*h**t + 7/2*h.
(h + 1)**2*(h + 3)/2
Let p = -1/382 - -767/1146. Let c be (0/3)/((-1)/(-2)*6). Find b, given that -p*b**2 + c - 4/3*b = 0.
-2, 0
Factor -62614 - 4*g**3 - 2304*g - 408*g**2 + 125227 - 62613.
-4*g*(g + 6)*(g + 96)
Let l = -60 + 184/3. Let f(v) = 3*v**3 - 13*v**2 + 52*v - 184. Let m be f(4). Suppose -16/3*n**3 - l - m*n - 12*n**2 = 0. Calculate n.
-1, -1/4
Let z(d) be the first derivative of d**3/18 + 7*d**2/4 - 11*d/3 + 6292. Factor z(t).
(t - 1)*(t + 22)/6
Let t(b) be the third derivative of -341*b**2 + 1/12*b**6 + 0 - 80/3*b**3 - b**5 - 25/3*b**4 + 1/42*b**7 + 0*b. Factor t(x).
5*(x - 4)*(x + 2)**3
Suppose -129/2*b**3 - 972 + 1/6*b**5 - 4/3*b**4 - 513*b**2 - 1422*b = 0. What is b?
-6, -1, 27
Factor 228*m**3 - 6056*m + 40823*m - 804*m**2 - 7860*m**2 - 1138*m + 76115*m - 2*m**4.
-2*m*(m - 38)**3
Let j = 48446/5 - 9688. Factor -3/5*i**3 + 0 - j*i + 9/5*i**2.
-3*i*(i - 2)*(i - 1)/5
Let m = 243 - 336. Let k be ((-4)/(-14))/(m/(-186)). Suppose -4/7*n**5 - 8/7*n**2 + k*n**3 + 8/7*n**4 + 0 + 0*n = 0. Calculate n.
-1, 0, 1, 2
Let a(x) be the second derivative of 1/15*x**5 - 40/3*x**2 + 1 + 69*x + 22/9*x**3 + 8/9*x**4. Factor a(f).
4*(f - 1)*(f + 4)*(f + 5)/3
Let l(q) be the second derivative of q**6/30 - 33*q**5/20 + 143*q**4/6 - 32*q**3 - 256*q**2 + 1480*q. Factor l(v).
(v - 16)**2*(v - 2)*(v + 1)
Let c be 0/(12 + -8) - -3. Suppose -14*i + 45 = c. Factor -i*p**2 + 27/5 - 9/5*p - 3/5*p**3.
-3*(p - 1)*(p + 3)**2/5
Let l(s) = 11*s**2 + 17*s + 10. Let t(i) = 2*i**2 + 2*i. Let y = -75 - -74. Let k(o) = y*l(o) + 5*t(o). Factor k(w).
-(w + 2)*(w + 5)
Let b(a) be the third derivative of 9*a**6/40 + 14*a**5/15 + a**4/6 - 1780*a**2. Factor b(p).
p*(p + 2)*(27*p + 2)
Let m(i) be the first derivative of -i**3 + 1740*i**2 - 1009200*i - 2327. Suppose m(l) = 0. What is l?
580
Let h(l) be the third derivative of l**5/60 + 17*l**4/2 + l**2 + 218*l. Factor h(t).
t*(t + 204)
Let j = 996319/37948 - 46/9487. Factor 3/4*u**2 - j - 3/2*u.
3*(u - 7)*(u + 5)/4
Let l(h) = -h**2 + 848*h - 5887. Let f be l(7). Factor 2/21*s**2 - 6/7 + f*s.
2*(s - 3)*(s + 3)/21
Let v be (1870/275 + -6)*(-2 - (-57)/21). Factor 6/7*y**3 + 20/7 - v*y**2 - 22/7*y.
2*(y - 1)*(y + 2)*(3*y - 5)/7
Let u(r) = 17*r**2 + 117*r - 406. Let b(t) = 5*t**2 + 39*t - 134. Let o(l) = -21*b(l) + 6*u(l). Factor o(f).
-3*(f - 3)*(f + 42)
Let 108*l - 180*l**2 - 4568*l**4 + 9094*l**4 - 4496*l**4 + 39*l**3 + 3*l**5 = 0. Calculate l.
-6, 0, 1
Let j(x) be the second derivative of -25/3*x**4 - 96*x**2 + 1/378*x**7 - 6 - 56*x**3 - 17/135*x**6 + 361/180*x**5 - 25*x. Factor j(g).
(g - 12)**3*(g + 1)**2/9
Let f(q) be the first derivative of -q**3 + 195*q**2 + 173. Solve f(v) = 0 for v.
0, 130
Let l(m) be the third derivative of 0*m**3 + 1/150*m**6 + 0*m**5 + 0 + 0*m - 213*m**2 - 1/30*m**4. Suppose l(f) = 0. What is f?
-1, 0, 1
Let i(b) = -b + 9. Let z be i(4). Let x(j) = -22*j + 5. Let q be x(0). Determine w so that -9*w**2 + q*w**4 + 3*w**2 - w + z*w**3 - 4*w + w**2 = 0.
-1, 0, 1
Let z(f) be the first derivative of 7*f**6/12 - 3*f**5 - 41*f**4/8 + 14*f**3 - 5*f**2 + 3786. Suppose z(l) = 0. What is l?
-2, 0, 2/7, 1, 5
Determine h so that -46*h - 22*h + 73*h - 184 - 89*h + 4*h**2 = 0.
-2, 23
Let q(s) be the third derivative of 2 + s**2 + 1/2*s**4 + 1/30*s**6 + 4/15*s**5 + 0*s**3 + 0*s. Factor q(p).
4*p*(p + 1)*(p + 3)
Factor 2/13*i**3 + 12271056/13*i - 12280968/13 + 9910/13*i**2.
2*(i - 1)*(i + 2478)**2/13
Let w(b) be the first derivative of 4*b**3/9 - 166*b**2/3 + 1433. Factor w(f).
4*f*(f - 83)/3
Let n(w) = 2*w**3 - 18*w**2 + 44*w - 36. Let y(m) = m - 1. Let b be ((-6)/(-10))/(15/(-75)) + -1. Let l(s) = b*y(s) - n(s). Suppose l(j) = 0. Calculate j.
2, 5
Let a = -6932534613/5309381 + -1/758483. Let c = a - -1308. Determine w so that -72/7*w**3 + 97/7*w**2 - 36/7*w + 4/7 + c*w**4 = 0.
1/4, 2
Let l(k) b