3 - k**2/2 - 3*k + 2649. Suppose v(t) = 0. Calculate t.
-3, -1, 1
Let k(r) be the second derivative of -r**5/140 - 10*r**4/21 + 89*r**3/14 - 207*r**2/7 - 781*r. Determine j so that k(j) = 0.
-46, 3
Let c = -41947 + 41983. Suppose 6*r - c - 1/4*r**2 = 0. What is r?
12
Let h = -302 + 304. Let -3*c + 3*c**2 + 2*c**h + 0*c**2 - 8*c**2 = 0. What is c?
-1, 0
Let v(a) = 51*a - 4533. Let r be v(89). Let k(o) be the third derivative of 0*o + 0 - 1/360*o**r - 10*o**2 - 7/24*o**4 + 2/45*o**5 + o**3. Factor k(m).
-(m - 3)**2*(m - 2)/3
Determine a so that 79/6*a - 5/6*a**5 - 6*a**4 + 8 - 37/3*a**3 - 2*a**2 = 0.
-16/5, -3, -1, 1
Factor 1/4*r**5 + 28*r + 46*r**2 + 87/4*r**3 + 4*r**4 + 0.
r*(r + 1)*(r + 4)**2*(r + 7)/4
Let v be (24/(-6))/(966/(-79488)). Determine q, given that -12288/7 - 144/7*q**2 - 3/7*q**3 - v*q = 0.
-16
Suppose -5*d - 42 = 128. Let z = 43 + d. Suppose -40 - z*c**5 + 20 + 24*c**2 + 20 - 30*c**4 - 12*c**3 = 0. What is c?
-2, 0, 2/3
Let m(h) be the second derivative of -h**4/36 + 557*h**3/18 - 278*h**2/3 + 241*h + 1. Factor m(o).
-(o - 556)*(o - 1)/3
Let n(j) = 7*j**2 - 6861*j - 6. Let s(f) = 18*f**2 - 13719*f - 14. Let v(t) = 7*n(t) - 3*s(t). Solve v(x) = 0 for x.
-1374, 0
Let c(a) be the third derivative of -a**6/30 - 4*a**5/15 - a**4/2 + 82*a**2. Suppose c(y) = 0. Calculate y.
-3, -1, 0
Let c be (-3)/48*-386 + 2/(-16). Factor -c*f**4 - 29*f**4 + 22*f**2 + 24*f - 72 + 51*f**4 - 4*f**3.
-2*(f - 2)**2*(f + 3)**2
Factor -139*x**3 - 1480*x**2 - 331*x**3 - 970 + 490*x**4 - x**5 - 4*x**5 + 2435*x.
-5*(x - 97)*(x - 1)**3*(x + 2)
Let g be 3*(-12)/105*(-300)/20. Solve -2/7*p**2 + 2*p + g = 0.
-2, 9
Let g(n) be the third derivative of n**7/1680 - 41*n**6/240 + 297*n**5/16 - 39325*n**4/48 - 166375*n**3/48 - 3368*n**2. Suppose g(u) = 0. What is u?
-1, 55
Let t be (77/42)/((-3377)/(-19341)). Factor t - 5*g + 1/2*g**2.
(g - 7)*(g - 3)/2
Let c(n) be the second derivative of -97/14*n**3 + 2/35*n**6 - 24/35*n**5 - 2*n - 123/28*n**4 - 33/7*n**2 - 6. Determine h so that c(h) = 0.
-2, -1/2, 11
Suppose 0 = -2*q + 2*x + 10, 8*q - 7 = 6*q - x. Suppose -q*n = -9*n. Find r such that 1/4*r**4 + n*r**2 + 0 + 0*r + 3/4*r**3 = 0.
-3, 0
Let 734*p**2 - 48*p**3 + 9 - 352*p - 483 + 2*p**4 - 410*p**2 - 252 = 0. Calculate p.
-1, 3, 11
Let v(k) be the second derivative of 58*k**3 + 76 + 5046*k**2 + 1/4*k**4 + k. Let v(g) = 0. Calculate g.
-58
Let p(a) = 3*a - 34. Let o be p(9). Let z be (-3)/(-12)*4*(-2)/o. Factor -z*l**3 - 6/7*l**2 + 6/7 + 2/7*l.
-2*(l - 1)*(l + 1)*(l + 3)/7
Let l(b) be the second derivative of -b**4/4 - 53*b**3 + 2949*b. Suppose l(u) = 0. What is u?
-106, 0
Let p(i) be the first derivative of -i**6/21 + 1468*i**5/35 - 133953*i**4/14 - 540224*i**3/21 - 135424*i**2/7 - 3245. Factor p(o).
-2*o*(o - 368)**2*(o + 1)**2/7
Let f(r) be the second derivative of -1/3*r**4 + 0*r**3 - 50/21*r**7 - 11/5*r**5 + 0*r**2 + 0 - 14/3*r**6 - 147*r. Factor f(u).
-4*u**2*(u + 1)*(5*u + 1)**2
Let f(q) = 8*q**3 - 65*q**2 + 41*q + 97. Let g(i) = -4*i**2 - 4*i**2 + 5*i - 1674*i**3 + 1675*i**3 + 12. Let k(z) = 6*f(z) - 51*g(z). Factor k(d).
-3*(d - 5)*(d - 2)*(d + 1)
Let i = 46444 + -417944/9. Factor -4/3*h**3 + 4/3 - i*h + 52/9*h**2.
-4*(h - 3)*(h - 1)*(3*h - 1)/9
Let r(b) = 2*b + 63. Let o be r(-27). Let -3*m**5 - 3426 + 9*m**4 + 3*m**2 - o*m**3 + 3426 = 0. Calculate m.
0, 1
Let m be -1 - -1 - 8/(-28). Let a(l) = l**3 - 171*l**2 + 169*l + 3. Let y be a(1). Factor -3/7*o**y + 5/7*o + 1/7*o**4 - m - 1/7*o**3.
(o - 1)**3*(o + 2)/7
Let k be ((-1)/(-2))/((-3)/(-72)). Let p be (-20 - 0)*(-27)/k. Solve -44 - 10*h**2 + 44 + p*h**4 - h**3 + 36*h**3 = 0 for h.
-1, 0, 2/9
Let o(p) be the first derivative of -3/5*p**5 + 6*p**2 - 3/2*p**4 + 3*p**3 - 317 - 12*p. Determine y, given that o(y) = 0.
-2, 1
Let v = 295009 + -885011/3. Solve -16*r - 56/3*r**2 - 3*r**4 - v - 1/3*r**5 - 32/3*r**3 = 0.
-2, -1
Let t(f) be the third derivative of -31/70*f**7 + 28*f**2 - 45/4*f**5 + 2*f + 1/112*f**8 + 0 + 0*f**3 + 0*f**4 + 51/8*f**6. Let t(s) = 0. What is s?
0, 1, 15
Factor 12191 + 22032*t + 2*t**3 + 11424 - 2416*t + 7361 + 356*t**2 - 3424*t.
2*(t + 2)*(t + 88)**2
Let z be (-20)/16 + 9/(-12). Let m(n) = -5*n**2 + 3*n + 12. Let y(v) = -10*v**2 + 5*v + 25. Let f(a) = z*y(a) + 5*m(a). Factor f(k).
-5*(k - 2)*(k + 1)
Let p(l) be the third derivative of -l**2 + 13/42*l**4 + 1/168*l**6 - 137*l + 8/21*l**3 + 8/105*l**5 + 0. Suppose p(u) = 0. Calculate u.
-4, -2, -2/5
Factor 126*t - 64*t**2 + 51*t + 777*t**3 + 16*t - 197*t**4 - 903*t**2 + 193*t + t**5.
t*(t - 193)*(t - 2)*(t - 1)**2
Factor 189/5*d**2 + 16/5 + 111/5*d.
(3*d + 1)*(63*d + 16)/5
Find z such that 716/3 + 118*z - 2/3*z**2 = 0.
-2, 179
Let c(a) = 17*a + 276. Let v be c(-16). Let k = 551/123 - -5/246. Find x, given that 1 + 1/2*x**3 - 3/2*x**v - 9/2*x + k*x**2 = 0.
-2, 1/3, 1
Let a(o) be the first derivative of o**7/735 + o**6/35 + 6*o**5/35 + o**2/2 + 22*o - 1. Let t(p) be the second derivative of a(p). Factor t(z).
2*z**2*(z + 6)**2/7
Find t, given that 4/7*t**4 - 2888/7 - 2876/7*t**3 - 8660/7*t - 1236*t**2 = 0.
-1, 722
Let o(v) = -10*v**4 + 344*v**3 + 700*v**2 + 346*v. Let h(y) = -8*y**4 + 345*y**3 + 699*y**2 + 346*y. Let z(r) = -6*h(r) + 5*o(r). Factor z(s).
-2*s*(s + 1)**2*(s + 173)
Let q(h) = -3*h**2 - 11*h + 40. Let t be q(6). Let x be ((-2)/(-10))/(t/(-1340)). Factor -2/9*c**x - 8/9*c + 10/9.
-2*(c - 1)*(c + 5)/9
Let o(h) be the second derivative of -h**6/10 - 273*h**5/5 + 365*h**4/4 - 1572*h - 2. What is z in o(z) = 0?
-365, 0, 1
Let p(s) be the second derivative of s**4/8 - 543*s**3 + 884547*s**2 - 23*s - 66. What is z in p(z) = 0?
1086
Let v be (4 - 5)*(-470)/940. Factor -v*p**2 - 1/2*p + 6.
-(p - 3)*(p + 4)/2
Suppose -59*c + 4 = -61*c. Let d be 3 - (174/(-90) - c)*9. Factor -d*o - 12/5 - 3/5*o**2.
-3*(o + 2)**2/5
Suppose 2 = -3*w - 5*r, 2*w + 3*w + r - 4 = 0. Let u be w/(3/(-18) + (-34)/(-6)). Let 0*v - 8/11 + u*v**2 = 0. Calculate v.
-2, 2
Let d = 375/752 - -1/752. Let f(j) be the second derivative of 18/5*j**2 - 23/5*j**3 - d*j**5 + 10*j + 0 + 8/3*j**4. Factor f(w).
-2*(w - 2)*(5*w - 3)**2/5
Let a(u) = u - 3. Let o be a(7). Suppose 4*k + 2*q + 98 = 8*k, -12 = o*q. Factor k - 41 + 18 - 4*s**5 - 24*s**3 - 20*s**4.
-4*s**3*(s + 2)*(s + 3)
Let p = -58828 + 58828. Factor 0 - 15/4*t**2 + 29/4*t**3 - 1/4*t**5 - 13/4*t**4 + p*t.
-t**2*(t - 1)**2*(t + 15)/4
Factor 1774 - 7*q**3 + 25*q**2 - q**4 + 67*q - 3527 + 1789.
-(q - 4)*(q + 1)**2*(q + 9)
Let u(o) be the first derivative of o**4 - 4*o**3 - 18*o**2 + 108*o - 4246. Factor u(f).
4*(f - 3)**2*(f + 3)
Let f(s) be the third derivative of s**8/50400 - s**7/3150 + s**6/450 - s**5/12 + s**4/24 + 8*s**2. Let w(u) be the third derivative of f(u). Factor w(h).
2*(h - 2)**2/5
Let i(a) = -3*a**2 - 30*a - 30. Suppose -4*y - 21 = 2*x - 19, -4*x - 5*y + 5 = 0. Let u(c) = -6*c**2 - 62*c - 61. Let v(q) = x*i(q) - 3*u(q). Factor v(b).
3*(b + 1)*(b + 11)
Let s(r) be the third derivative of -4/45*r**5 + 1/1008*r**8 + 61/180*r**6 - 16*r**4 + 0*r - 9 + 512/9*r**3 + 1/30*r**7 + r**2. Factor s(k).
(k - 2)*(k - 1)*(k + 8)**3/3
Let x(v) = 15*v**3 + 9780*v**2 + 2420555*v + 7173660. Let f(a) = -8*a**3 - 4887*a**2 - 1210278*a - 3586833. Let p(l) = 5*f(l) + 3*x(l). Factor p(w).
5*(w + 3)*(w + 489)**2
Let y(l) be the first derivative of l**4/4 - 4*l**3 + 11*l**2/2 + 114. Factor y(v).
v*(v - 11)*(v - 1)
Find z such that 37*z**2 + 0 + 23/4*z**4 + 7/4*z**5 - 81/2*z**3 + 14*z = 0.
-7, -2/7, 0, 2
Let t(x) be the second derivative of 5*x**4/4 + 4*x**3 + 24*x**2/5 - 893*x. Let t(z) = 0. Calculate z.
-4/5
Let k = -670 + 633. Let q be 35 + k - 258/(-9). Factor 5/3*n**2 - 40/3*n + q.
5*(n - 4)**2/3
Find b such that -4*b**2 - 3*b**2 + b**2 + 4*b**2 - 342 + 344*b + 0*b**2 = 0.
1, 171
Let n(a) be the second derivative of 0*a**2 + 1/6*a**4 - 2/15*a**3 - 2/25*a**5 + a - 117 + 1/75*a**6. What is h in n(h) = 0?
0, 1, 2
Let o be (2 - 3 - 6/(-9))*(680 - 687). Factor 1/6*n**3 + 25/6*n + o*n**2 + 2.
(n + 1)**2*(n + 12)/6
Let l(a) be the third derivative of -a**8/84 - 6*a**7/35 - 19*a**6/30 + 3*a**5/5 + 10*a**4/3 - 16*a**2 - 8*a. Suppose l(w) = 0. Calculate w.
-5, -4, -1, 0, 1
Let n(k) = -26*k**2 + 758*k - 1536. Let d(g) = 92*g**2 - 2271*g + 4608. Let j(s) = -2*d(s) - 7*n(s). Factor j(b).
-2*(b - 2)*(b + 384)
Let p be -4*7/(-28) - (-78)/2. Suppo