+ 14. Let f be q(-2). Solve -2/7*y**f - 12/7 - 10/7*y = 0 for y.
-3, -2
Let t be (3 - 4/(-12))/(3/9). Factor 10*n**2 + 14*n + t*n - 20*n.
2*n*(5*n + 2)
Find a, given that 32/7*a**3 - 4*a + 0*a**4 - 24/7 - 4/7*a**5 + 24/7*a**2 = 0.
-2, -1, 1, 3
Factor -194/7 - 28*u - 2/7*u**2.
-2*(u + 1)*(u + 97)/7
Let r(v) be the first derivative of v**8/3360 + v**7/1680 + 11*v**3/3 + 35. Let l(y) be the third derivative of r(y). Factor l(d).
d**3*(d + 1)/2
Suppose -1/11*j**4 - 343/11*j + 0 - 21/11*j**3 - 147/11*j**2 = 0. What is j?
-7, 0
Suppose 4 = 4*d - 4*z, -125*z = -5*d - 123*z + 8. Suppose -2/3 - 2/9*k**d + 8/9*k = 0. What is k?
1, 3
Solve 19 - 3*y**3 + 359*y - 127 - 431*y + 33*y**2 = 0 for y.
-1, 6
Let k(j) be the second derivative of -3*j**5/220 - 5*j**4/33 - 6*j**3/11 - 8*j**2/11 - j + 3. Factor k(z).
-(z + 2)*(z + 4)*(3*z + 2)/11
Let l(o) be the first derivative of o**4/2 - 56*o**3/9 - 20*o**2/3 - 61. Factor l(u).
2*u*(u - 10)*(3*u + 2)/3
Suppose 0 = -5*v + 5, -2*q + 40 = 2*v - 274. Let l be 18/(-108) + 218/q. Determine t so that 32/13 + 2/13*t**2 + l*t = 0.
-4
Let z = -227 - -199. Let b be 140/50*(40/z)/(-5). Factor -1/5*k**2 - 3/5 - b*k.
-(k + 1)*(k + 3)/5
Let f(d) be the first derivative of 2*d**5/5 - 2*d**4 + 10*d**3/3 - 2*d**2 + 452. Factor f(p).
2*p*(p - 2)*(p - 1)**2
Let h = -28 - -57. Let g = h + -29. Suppose -8/5*q**3 + g*q + 2/5*q**4 + 8/5*q**2 + 0 = 0. What is q?
0, 2
Let b be (2 - 40/12)*-3. Let f(l) be the third derivative of b*l**2 + 0*l**3 + 0 + 1/20*l**6 - 3/70*l**7 + 0*l + 0*l**4 + 0*l**5. Let f(k) = 0. What is k?
0, 2/3
Let w = -1 + 11/5. Let c = 463 - 461. Factor -w*g - c*g**2 + 18/5 - 2/5*g**3.
-2*(g - 1)*(g + 3)**2/5
Let n = -53 + 48. Let l(c) = 2*c**2 + c + 2. Let f(g) = -2*g**2 - 2. Let v(a) = n*f(a) - 4*l(a). Solve v(z) = 0.
1
Let o(p) = -7*p**4 - 13*p**3 + 2*p + 4. Let g(x) = -8*x**4 - 12*x**3 + 3*x + 6. Let u(j) = -2*g(j) + 3*o(j). Let u(r) = 0. What is r?
-3, 0
Let m(f) be the second derivative of -2*f**2 - 1/60*f**5 - 4*f - 1/8*f**3 + 0 + 13/96*f**4. Let c(x) be the first derivative of m(x). Factor c(u).
-(u - 3)*(4*u - 1)/4
Let t(s) be the first derivative of s**4/4 - s**3/3 - s + 3. Let h(x) = 28*x**3 - 16*x**2 - 8*x - 24. Let z(v) = h(v) - 20*t(v). Let z(w) = 0. Calculate w.
-1, -1/2, 1
Let d be (2/18)/((-38)/12 + 5). Let m(p) be the third derivative of 0 + 0*p + 2*p**2 + 1/44*p**4 - 1/330*p**5 - d*p**3. Factor m(u).
-2*(u - 2)*(u - 1)/11
Suppose 8*w + 5*w - 39 = 0. Let r(g) be the first derivative of 2/9*g**w + 0*g + 1/3*g**2 - 6. Factor r(j).
2*j*(j + 1)/3
Let m be (4 + (-23)/5)*-10. Let z be m - ((-15)/(-6) - 2/(-4)). Suppose -4/3*i**z - 4/3*i**2 + 4/3 + 4/3*i = 0. What is i?
-1, 1
Let n = 49 + -45. Factor 604*y + 4*y**n - 4*y**3 - 604*y - 4*y**2 + 4*y**5.
4*y**2*(y - 1)*(y + 1)**2
Let n(q) be the second derivative of 5*q**4/66 + 8*q**3/33 + 3*q**2/11 + 8*q + 7. Suppose n(a) = 0. What is a?
-1, -3/5
What is g in 0 + 6*g**5 + 33/2*g**2 + 9/2*g - 21/2*g**3 - 33/2*g**4 = 0?
-1, -1/4, 0, 1, 3
Factor 92*g**2 + 21 + 8*g**2 - 44*g + 13 - 52*g**3 - 53 + 15.
-4*(g - 1)**2*(13*g + 1)
Let p be ((-8)/(-36))/((-4)/18*-3). Let y be 5/9 + (-8)/36. Factor 1/3 - 2/3*k**2 + p*k**4 - 1/3*k + 2/3*k**3 - y*k**5.
-(k - 1)**3*(k + 1)**2/3
Let t(y) be the third derivative of -y**7/70 + 13*y**5/20 + 3*y**4/2 + y**2 + 60. What is h in t(h) = 0?
-3, -1, 0, 4
Suppose 0 = 800*l - 550*l. Solve l - 4/7*w**3 + 0*w**2 + 4/7*w = 0.
-1, 0, 1
Let j(y) be the first derivative of 1/720*y**6 - 1/240*y**5 + 0*y**4 + 1/3*y**3 + 2 + 0*y**2 + 0*y. Let h(r) be the third derivative of j(r). Factor h(d).
d*(d - 1)/2
Let n(s) be the first derivative of s**3/9 + 79*s**2/3 + 6241*s/3 - 32. Let n(f) = 0. Calculate f.
-79
Let a = -1/1136 - -1139/3408. Determine d so that -1/3*d + 0 - a*d**2 = 0.
-1, 0
Determine y, given that -33/2*y**3 - 1/2*y**5 + 5*y**4 + 20*y**2 + 0 - 8*y = 0.
0, 1, 4
Let b(k) = k**3 + 19*k**2 + 25*k + 13. Let d be b(-18). Let c = -113 - d. Factor -9/2*g**2 + g + c + 7/2*g**3.
g*(g - 1)*(7*g - 2)/2
Let o be -1 - -23 - (-128)/(-6). Factor -4/3*z + 0 - o*z**2.
-2*z*(z + 2)/3
Suppose -5*i - 466 = -7*l + 10*l, -5*i - 478 = -l. Let d = 287/3 + i. Factor -2/3 - d*a**2 - 4/3*a.
-2*(a + 1)**2/3
Let j = 3751/1510 + 12/755. What is h in 1/4*h**2 + j*h + 0 = 0?
-10, 0
Let q be -6 - -9 - (-1 - -2). Suppose y + 3 - 8 = 0. Find d, given that -y*d**q + 2*d**3 - 4*d + 11*d**3 - d**2 - 3*d**3 = 0.
-2/5, 0, 1
Let o = -5 + 10. Suppose 4*k + 5 = a, -o*k - 3*a - 2*a + 25 = 0. Suppose k*m - 4*m + 7*m - m**3 + 2*m**2 = 0. What is m?
-1, 0, 3
Let x be (-9 + 32/3)*18/10. Let -1/3*v**2 - 1/3*v**4 - v + v**x + 2/3 = 0. Calculate v.
-1, 1, 2
Find l, given that 36/7*l + 4/7*l**2 + 32/7 = 0.
-8, -1
Let t(w) be the first derivative of -5*w**6/6 - 4*w**5 - 5*w**4 + 10*w**3/3 + 25*w**2/2 + 10*w + 99. Factor t(x).
-5*(x - 1)*(x + 1)**3*(x + 2)
Let o(c) be the first derivative of -c**6/90 - c**5/20 - c**4/12 - c**3/18 - 10*c + 11. Let i(q) be the first derivative of o(q). Solve i(z) = 0.
-1, 0
Let m = 253 - 251. Let c(j) be the third derivative of 0*j + 0*j**3 + 1/40*j**4 + m*j**2 + 0 + 1/300*j**5. Factor c(p).
p*(p + 3)/5
Determine n, given that -3/2*n**2 - 1/4*n**5 + 5/4*n**3 + 1/2*n**4 + 0 + 0*n = 0.
-2, 0, 1, 3
Let d(w) be the third derivative of 0 + 9*w**2 + 0*w - 1/540*w**6 + 0*w**3 - 1/945*w**7 + 1/270*w**5 + 1/108*w**4. Factor d(z).
-2*z*(z - 1)*(z + 1)**2/9
Let u be 3/5*(-7769)/38403. Let i = 3/251 - u. Let -i*v**2 - 2/5*v - 4/15 = 0. What is v?
-2, -1
Let p(f) = -f**2 + 54*f - 53. Let m(h) = -2*h**2 + 54*h - 52. Let x(b) = -3*m(b) + 4*p(b). Factor x(s).
2*(s - 1)*(s + 28)
Let v(s) = 5*s - 26. Let x be v(9). Solve -x*f**2 + 0*f**4 - 30*f**3 + 5*f**4 - 45 + 59*f**2 + 30*f = 0 for f.
-1, 1, 3
Let f(r) be the first derivative of 33/10*r**4 + 4/5*r + 3/5*r**2 - 76/15*r**3 + 32. Solve f(l) = 0 for l.
-2/11, 1/3, 1
Let t = -219 + 222. Determine n, given that 0 + 1/2*n + 1/4*n**2 - 3/4*n**t = 0.
-2/3, 0, 1
Let x(n) be the first derivative of n**6/18 - 3*n**5/5 - 7*n**4/4 - 11*n**3/9 + 98. Factor x(u).
u**2*(u - 11)*(u + 1)**2/3
Suppose 4*f + 27 = 5*k, -3*f = 2*k - 4*k + 15. Factor 112*z**4 + 153*z**k - 9*z**3 - 25*z**2 + 8*z + 85*z**2.
4*z*(2*z + 1)**2*(7*z + 2)
Suppose -26 = -b - 4*q, 101*b = 98*b + 3*q - 12. Factor 0 + v**3 + 0*v**b + 1/2*v**4 + 0*v.
v**3*(v + 2)/2
Let d(m) be the third derivative of -m**7/10080 - m**6/160 - 27*m**5/160 + 2*m**4/3 + 2*m**2 - 16. Let u(v) be the second derivative of d(v). Factor u(l).
-(l + 9)**2/4
Suppose 2/15*a**4 - 4/3*a**3 + 44/15*a + 0 - 26/15*a**2 = 0. What is a?
-2, 0, 1, 11
What is b in 587*b + 2*b**3 + 10*b**2 - 581*b - 2*b**2 = 0?
-3, -1, 0
What is g in 4*g**3 - 19*g**2 - 6*g**3 + 5*g**3 + 61*g**2 = 0?
-14, 0
Let o(d) be the first derivative of -2*d**5/45 + 7*d**4/6 - 40. Suppose o(q) = 0. What is q?
0, 21
Let f = 54 + -50. Factor -4*v**3 + 24*v**3 + f*v**2 + 4*v**2.
4*v**2*(5*v + 2)
Let j be 12/(-3) + 0 + (6 - -1). Let c(k) be the third derivative of 0*k - 2*k**2 + k**4 + 0 - 6*k**j - 1/15*k**5. Factor c(n).
-4*(n - 3)**2
Let i = 2/4371 + 2912/4371. Factor 3*q**4 - 9*q**2 - i*q**3 - 4/3 + 8*q.
(q - 1)**2*(q + 2)*(9*q - 2)/3
Suppose 3*z + 0 = 18. Suppose 6*q - 3*q - z = 0. Factor 39/5*s - 12/5*s**q - 9/5.
-3*(s - 3)*(4*s - 1)/5
Let x = -13831/8 + 1748. Determine q so that 18*q**4 + 3/8 - 33*q**3 - 9/2*q + x*q**2 = 0.
1/4, 1/3, 1
Suppose -b + 2*b = 4*u - 7, -3*u + 14 = b. Suppose 9/4*i**u + 3/4*i**4 - 3/4*i**2 - 3/4*i**5 + 0 - 3/2*i = 0. Calculate i.
-1, 0, 1, 2
Let h(v) be the second derivative of -250*v**7/21 + 28*v**5 - 2*v**4/3 - 10*v**3 + 4*v**2 - 6*v - 8. Solve h(n) = 0.
-1, -2/5, 1/5, 1
Let l(c) be the second derivative of -3*c**5/20 - 19*c**4/4 - 32*c**3 - 90*c**2 + 47*c. Find m such that l(m) = 0.
-15, -2
Let u(x) be the second derivative of x**4/48 - x**3/3 + x - 19. Factor u(k).
k*(k - 8)/4
Determine f, given that 4*f**4 - 14*f**3 + 23*f**3 - 64*f**2 + 15*f**3 = 0.
-8, 0, 2
Let g(f) = -9*f**2 - 4*f - 1. Let a(o) = -22*o**2 - 8*o - 1. Let m(r) = 6*a(r) - 15*g(r). Suppose m(y) = 0. What is y?
-3, -1
Let l(v) be the second derivative of 1/54*v**4 - 5*v - 4/27*v**3 + 0*v**2 + 0. Factor l(k).
2*k*(k - 4)/9
Let l(a) be the second derivative of -a**5/20 - 5*a**4/6 + 5*a**3/3 - 9*a**2/2 - 5*a. Let u be l(-11). What is w in -3*w 