51). Let u*k**2 + 3/2*k**5 - 5/2*k**4 - 19/2*k**3 - 6 + 8*k = 0. What is k?
-2, -1, 2/3, 1, 3
Let b(n) be the third derivative of -n**7/2520 + n**6/540 + n**5/90 - n**4/9 + 233*n**3/6 - 251*n**2. Let t(z) be the first derivative of b(z). Factor t(f).
-(f - 2)**2*(f + 2)/3
Let p = -3/67610 + 4867977/1284590. Determine w, given that -120/19*w - 50/19*w**2 - p = 0.
-6/5
Let v(g) = 2*g**3 + 16*g**2 + 4*g + 11. Let n be v(-8). Let l be n/6*(-6)/(-63)*-6. What is k in -3/4*k**3 + 3/8*k**l + 3/2*k - 9/8 = 0?
-3/2, 1
Let y(g) = -16*g + 644. Let h be y(39). Let t be (64/h - 4) + 5 + -4. Factor -t*k**4 + 6/5*k**3 - 1/5*k**5 + 3/5 - 2/5*k**2 - k.
-(k - 1)**3*(k + 1)*(k + 3)/5
Let d(r) = -5384*r + 10770. Let k be d(2). Determine q, given that 0 + 10/13*q + 2/13*q**k = 0.
-5, 0
Let m = -286433/3 - -95479. Factor 4*y + 0 - m*y**3 + 8/3*y**2.
-4*y*(y - 3)*(y + 1)/3
Let j(m) be the first derivative of m**4 - 884*m**3/3 - 2*m**2 + 884*m + 15121. Factor j(k).
4*(k - 221)*(k - 1)*(k + 1)
Suppose 73*f - 4 = 71*f. Let h be -5 - (-1 - 405/35)/f. Factor 6/7*m + 1/7*m**2 + h.
(m + 3)**2/7
Let d = 72008 - 360032/5. Factor -6/5*m**2 + d*m - 2/5*m**3 + 24/5.
-2*(m - 2)*(m + 2)*(m + 3)/5
Let c = -1472/835 - -48113594/27293645. Let z = 4183986/817175 + c. Factor z + 2/25*g**2 + 32/25*g.
2*(g + 8)**2/25
Let d be (-4)/(-78)*((-1220)/(-1098) - (-608)/36). Find s, given that -6/13*s**2 + 16/13 - d*s + 2/13*s**3 = 0.
-2, 1, 4
Suppose -c = -28 + 29. Let i be c - (6*(-1)/2 - 1). Factor 22*p**2 - p - p**3 + 2*p**i - 18*p**2 - 4*p.
p*(p - 1)*(p + 5)
Let c = 3181/136 - 6143/408. Factor -5/3*y**2 - c + 10*y.
-5*(y - 5)*(y - 1)/3
Let k(z) be the second derivative of -1/30*z**4 + 1 - 4*z + 8/3*z**3 - 80*z**2. Factor k(v).
-2*(v - 20)**2/5
Let g(c) = -10*c**3 - 9*c**2 + 4*c + 11*c**3 - 6*c + 12 - 17*c. Let a be g(12). Factor a*s**3 + 340*s**2 - 3*s**5 + 5*s**5 + 36*s**4 + 92*s**2.
2*s**2*(s + 6)**3
Let s(c) be the first derivative of 29 + 2/3*c**6 + 4/5*c**5 + 4*c - 8/3*c**3 - 2*c**4 + 2*c**2. Factor s(z).
4*(z - 1)**2*(z + 1)**3
Let d be (-660)/(-6930) - 1948/(-126). Factor 56/9*i - 8/9 - 50/9*i**4 + d*i**3 - 46/3*i**2.
-2*(i - 1)**2*(5*i - 2)**2/9
Let h(o) = -o**3 + 5*o**2 + 8*o - 4. Let i be h(6). Suppose 18 + 12 = 15*u. Find q, given that 2*q - q - i*q - 9*q**u + q = 0.
-2/3, 0
Let w(a) be the second derivative of -6/5*a**3 + 42*a - 2*a**2 + 1/25*a**5 + 0 - 1/5*a**4. Factor w(c).
4*(c - 5)*(c + 1)**2/5
Let q(d) be the second derivative of 0*d**3 + 15/2*d**2 - 1/330*d**5 + 0 + 14*d - 1/132*d**4. Let p(t) be the first derivative of q(t). Factor p(h).
-2*h*(h + 1)/11
Suppose -l = 19 - 16. Let z be 5 + (4/(-5 - l) - 3). Solve z*p - 2/3*p**3 + 8/9*p**2 + 0 - 2/9*p**4 = 0 for p.
-4, 0, 1
Suppose -2326*f**2 - 6287*f**4 + 3105*f**3 - 393*f**5 - 1953*f**4 + 22*f**5 - 154*f**5 - 320 - 2580*f + 10886*f**2 = 0. What is f?
-16, -1, -2/21, 2/5, 1
Suppose 0 = 1028*y - 2053*y + 1030*y - 10. Factor 5/3*d + 1/3*d**y - 2.
(d - 1)*(d + 6)/3
Let v(q) be the second derivative of -q**5/35 - 341*q**4/21 + 228*q**3/7 - 3852*q. Factor v(s).
-4*s*(s - 1)*(s + 342)/7
Let q(l) be the third derivative of -25*l**6/24 - 73*l**5/24 + 5*l**4/12 - 161*l**3/6 - 109*l**2. Let d(r) be the first derivative of q(r). Factor d(h).
-5*(h + 1)*(75*h - 2)
Let x be 24*((-6)/(-30) + (-2)/((-300)/70)). Let u(s) be the first derivative of x*s**2 + 4/3*s**3 - 21 + 0*s. Factor u(q).
4*q*(q + 8)
Let k(s) be the third derivative of 0*s**6 + 1/12*s**4 + 1/15*s**5 + 0*s + 0*s**3 - 2/105*s**7 + 6*s**2 - 1/168*s**8 + 6. Factor k(o).
-2*o*(o - 1)*(o + 1)**3
Suppose 0 = -506*w - 504*w + 1032*w - 66. Let g(s) be the first derivative of 49 - 6*s + 5/2*s**2 + 1/3*s**w. Factor g(m).
(m - 1)*(m + 6)
Let k(v) be the second derivative of 0 - 72*v**2 - v**4 - 3/4*v**5 + 1/10*v**6 + 211*v + 22*v**3. Let k(m) = 0. What is m?
-3, 2, 4
Suppose -6*g + 780 = 20*g. Suppose -13 + 31*a**4 + g*a**3 - 17 + 38*a**4 - 2*a**5 + 40*a**2 - 3*a**5 - 25*a - 79*a**4 = 0. Calculate a.
-3, -1, 1, 2
Let x(i) be the first derivative of 8 + 2/39*i**3 + 50/13*i**2 + 1250/13*i. Solve x(a) = 0.
-25
Let z be (-1)/((7 + -8)/2). Factor 58 + 53*c + 6904 - 289*c + z*c**2.
2*(c - 59)**2
Let h(g) be the third derivative of -g**5/240 + 3*g**4/32 - g**3/3 - 886*g**2. Solve h(t) = 0 for t.
1, 8
Factor 20*p + 21/2*p**2 + 1/4*p**3 + 0.
p*(p + 2)*(p + 40)/4
Suppose -136*h + 133*h = -135120. Factor h - 45040 - 4*t + t**2 + 29*t.
t*(t + 25)
Let d(x) = 3*x**3 + 15*x**2 + x - 2. Let i be d(-5). Let k be 2/(1 - i) - 91/364. Factor k - 3/5*v**3 - 147/5*v + 42/5*v**2.
-3*v*(v - 7)**2/5
Let l = -1106 - -1100. Let c be ((-2)/(-15))/(6/l - -2). Find p, given that c*p - 8/15 + 8/15*p**2 - 2/15*p**3 = 0.
-1, 1, 4
Let m = -124964/740925 - -1/8325. Let r = 14/445 - m. Determine k so that -1/5*k**2 - r*k + 0 = 0.
-1, 0
Let s = 474 + -458. Determine m so that 4*m**2 - 23 + s*m + 3 + 20 = 0.
-4, 0
Let k(d) be the third derivative of -d**6/840 - 5*d**5/42 - 13*d**4/8 - 66*d**3/7 + 436*d**2. Factor k(z).
-(z + 3)**2*(z + 44)/7
Let f(b) be the first derivative of -20/7*b + 8/21*b**3 + 3/14*b**4 - 26 - 9/7*b**2. Suppose f(u) = 0. Calculate u.
-2, -1, 5/3
Let a(k) be the second derivative of 3/20*k**5 + 2*k**3 + 3*k**4 - 1/10*k**6 - 5 - 21*k - 24*k**2. Find r such that a(r) = 0.
-2, 1, 4
Let r(v) be the first derivative of -v**4/18 - 14*v**3 - 2945*v**2/3 + 18050*v/9 + 758. Factor r(s).
-2*(s - 1)*(s + 95)**2/9
Let n(s) be the third derivative of -s**6/80 - 3*s**5/2 - 657*s**4/16 - 299*s**3/2 + s**2 - 629*s. Let n(m) = 0. Calculate m.
-46, -13, -1
Let v(x) be the third derivative of x**5/60 + x**4 + 21*x**3/2 - 319*x**2. Factor v(g).
(g + 3)*(g + 21)
Let b be (-9)/(-21) - ((-544)/(-56))/4. Let w be 6 - 18*b/(-9). Find d such that 0 + 1/2*d**5 - 2662*d**w + 14641/2*d - 22*d**4 + 363*d**3 = 0.
0, 11
Let b(d) be the first derivative of -d**5/20 + 3*d**4/8 - 5*d**3/12 + 225. Factor b(i).
-i**2*(i - 5)*(i - 1)/4
Let c(y) be the third derivative of y**8/672 - 11*y**7/420 + 5*y**6/48 - y**5/24 - 13*y**4/24 + 4*y**3/3 - 3608*y**2. Determine x so that c(x) = 0.
-1, 1, 2, 8
Let w(y) = -y**3 - y**2 + 57*y. Let f(p) = -4*p**4 - 405*p**3 + 3*p**2 - 171*p. Let r(n) = -f(n) - 3*w(n). Find c, given that r(c) = 0.
-102, 0
Factor 1/5*k**2 + 24*k + 351/5.
(k + 3)*(k + 117)/5
Let p(r) be the third derivative of -1/220*r**6 + 1/66*r**4 + 0 + r + 1/330*r**5 + 7*r**2 + 0*r**3. Suppose p(q) = 0. Calculate q.
-2/3, 0, 1
Suppose 0 = -4*k - 2 + 10. Suppose 2 + k = 2*v. Determine f, given that -f**2 + 10*f**4 + f + 6*f**5 + f**2 - v*f**3 - 5*f - 10*f**2 = 0.
-1, -2/3, 0, 1
Suppose 10*v = 18 - 18. Suppose 4*c - 2*t - 14 + 2 = v, 0 = 3*c - 4*t - 14. Factor 8/5*u + 2/5*u**3 + 0 + 2*u**c.
2*u*(u + 1)*(u + 4)/5
Let h(j) be the second derivative of j**4/24 + 2417*j**3/6 + 5841889*j**2/4 - 1361*j + 1. Let h(o) = 0. What is o?
-2417
Let p = 4033/2 - 36295/18. Let b(q) be the second derivative of -2/3*q**2 + 14*q + p*q**4 - 1/9*q**3 + 0 + 1/30*q**5. Determine m so that b(m) = 0.
-2, -1, 1
Let f(y) be the first derivative of -y**6/2 - 9*y**5/5 + 3*y**4/2 + 12*y**3 + 12*y**2 + 1148. What is v in f(v) = 0?
-2, -1, 0, 2
Let m(q) = q**2 - 12*q. Suppose 4*y + 6 = c - 10, -2*c + y = -4. Let i be m(c). Find z such that 5/3*z - 5/6*z**2 + i = 0.
0, 2
Let v(s) = 22*s**2 + 41*s + 13. Let q be v(-6). Factor 6*l - 8 + 2*l**4 - 3*l**4 - q*l**3 + 553*l**3 + 10*l**2 - l**4.
-2*(l - 1)**2*(l + 1)*(l + 4)
Let c = -47495 + 47499. Solve -56/5 + 4/5*i**2 - c*i = 0 for i.
-2, 7
Let u(d) be the third derivative of 1/2352*d**8 + 0*d + 2*d**2 - 22 + 0*d**4 + 1/120*d**6 - 1/140*d**5 + 0*d**3 - 1/294*d**7. Let u(v) = 0. What is v?
0, 1, 3
Let a(y) = -12*y**2 - 116*y + 136. Suppose -3*l + 16 = 5*u, -1 + 11 = 2*u. Let i(n) = 4*n**2 + 38*n - 45. Let v(g) = l*a(g) - 8*i(g). Factor v(k).
4*(k - 1)*(k + 12)
Let u(c) be the first derivative of 65*c**3/9 + 55*c**2/3 + 15*c + 3527. Factor u(x).
5*(x + 1)*(13*x + 9)/3
Let m(o) = -14*o - 11. Let p(j) = 84*j + 65. Let v(y) = -34*m(y) - 6*p(y). Let b be v(-2). Factor -b*n**2 - 8 + 40*n**2 - 4*n**3 + 12*n.
-4*(n - 1)**2*(n + 2)
Let c(t) be the second derivative of 2/33*t**3 + 3/110*t**5 - 2*t + 34 + 0*t**2 + 5/66*t**4. Factor c(v).
2*v*(v + 1)*(3*v + 2)/11
Factor -1593*i**2 + 1929*i**2 - 4*i**4 + 2720*i - 1830 - 4570 - 40*i**3.
-