) = -a**3 - 52*a**2 - 96*a + 202. Let q be v(-50). Factor 39/5*j + 18/5 - 3*j**q.
-3*(j - 3)*(5*j + 2)/5
Let t be 1/(4/(-6))*372/(-9). What is k in -33*k**2 - 38 + 9*k**4 - k**5 + 21*k**3 - 18*k + t - 2*k**5 = 0?
-2, -1, 1, 4
Let i = -794 - -802. Suppose -5*p = -r - 15, 4*p - i*r = -7*r + 12. Factor 1/3*y**p - y**2 + 0*y + 4/3.
(y - 2)**2*(y + 1)/3
Let 3/4*m**3 + 0 + 3/2*m**2 + m + 1/8*m**4 = 0. What is m?
-2, 0
Factor 1585*d**2 - 411 + 213 + 51*d - 1588*d**2.
-3*(d - 11)*(d - 6)
Let g(u) be the first derivative of -u**4/6 - 2*u**3/3 + 69*u + 19. Let p(z) be the first derivative of g(z). Solve p(q) = 0.
-2, 0
Let r(w) be the second derivative of -5*w**5/3 + 10*w**4/3 - 8*w**3/3 - 41*w**2 + 58*w. Let f(k) be the first derivative of r(k). Factor f(d).
-4*(5*d - 2)**2
Let q be (1/(-50))/((-115)/1150). Find u, given that 0 + q*u**2 + 0*u = 0.
0
Suppose -20234*k - 958 = -20713*k. Let b = 10 + -7. Find p such that -3/5*p - 3/5 + 3/5*p**b + 3/5*p**k = 0.
-1, 1
Let q(n) be the second derivative of 0 - 1/12*n**4 - 2*n**2 - 55*n + 2/3*n**3. Suppose q(w) = 0. Calculate w.
2
Let a(q) = -q**3 - 4*q**2 + 11. Let s be a(-5). Let t = -33 + s. Factor -m**2 - 6*m**3 + 2*m - 4 + 4*m**3 + 5 + 0*m**t.
-(m - 1)*(m + 1)*(2*m + 1)
Let t = -5981 + 5988. Let x(s) be the second derivative of 0 - 1/42*s**t - 1/4*s**4 - 8*s + 0*s**3 - 1/30*s**6 + 0*s**2 + 1/4*s**5. Factor x(i).
-i**2*(i - 1)**2*(i + 3)
Factor 0*w**2 - 186 + 135 + 654*w - 3*w**2 + 545 + 85*w.
-(w - 247)*(3*w + 2)
Suppose -6*t - 27 = -15*t. Determine q so that -4*q**4 + 48*q**3 - 62*q**t + 12 - 34*q + 6*q**4 + 34*q**2 = 0.
1, 2, 3
Let y be 9/(-24) + (-189)/(-56). Solve y*h**2 + 2888*h - 25*h**2 + 3*h**3 - 130*h**2 - 2*h**3 + h**3 = 0.
0, 38
Let h(u) be the first derivative of 27 - 198*u**2 + 324*u - u**4 + 76/3*u**3. Factor h(l).
-4*(l - 9)**2*(l - 1)
Suppose 4*p = -0*k - 2*k + 12, -k + 12 = 4*p. Let j be 22/((-330)/(-75)) - (15 + -10). Determine v so that 3/8*v**p + j - 3/4*v**2 + 3/8*v = 0.
0, 1
Let h(b) be the second derivative of -27*b**5/20 - 129*b**4/4 - 308*b**3 - 1470*b**2 - 164*b - 2. Determine s so that h(s) = 0.
-5, -14/3
Let d = -44 + 47. Let j be ((-36)/(-15))/(12/40). Let 2*k**d - 22*k**2 - j*k + 10*k**2 - 6*k**3 = 0. What is k?
-2, -1, 0
Suppose -2*m - z - 14 = 3*z, -2*m - 2*z = 4. Suppose -2*q = 4*k + 10, -m*q + 2*q - 13 = 4*k. Solve -12*c**2 - 8 + 20*c**4 + 5*c - 21*c - 12*c + 28*c**q = 0.
-1, -2/5, 1
Let p(n) be the third derivative of 0*n + 0*n**5 - 2*n**2 + 0*n**4 - 1 + 1/168*n**8 + 0*n**7 + 0*n**3 - 1/60*n**6. Factor p(y).
2*y**3*(y - 1)*(y + 1)
Let d(y) = -279*y**3 - 513*y**2 - 253*y + 1. Let f(o) = 4*o**3 - 2*o**2 + 1. Let h(x) = -d(x) - 4*f(x). Find b such that h(b) = 0.
-1, 5/263
Let s = 686 - 677. Let c be 4 - (s/((-45)/(-380)))/22. Factor c*g**2 - 2/11*g**4 - 4/11*g**3 - 8/11 + 8/11*g.
-2*(g - 1)**2*(g + 2)**2/11
Let -54*p**2 - 93 - 1982*p - 2064*p - 1918*p + 5347*p - 1060*p = 0. Calculate p.
-31, -1/18
Suppose -782/11*r**2 + 32/11*r**4 + 0 - 1552/11*r**3 - 98/11*r = 0. What is r?
-1/4, 0, 49
Let d(t) be the third derivative of t**6/24 - t**5/12 - 55*t**4/12 + 100*t**3/3 - 6953*t**2 + t. Factor d(x).
5*(x - 4)*(x - 2)*(x + 5)
Suppose 5*k - 28 = 4*j, 5*k = -9*j + 60 + 7. Factor 32/5 + 16*n + 4*n**j + 2/5*n**4 + 66/5*n**2.
2*(n + 1)**2*(n + 4)**2/5
Let t(k) be the third derivative of -1/90*k**6 + 2/3*k**3 - k**2 - 7/18*k**4 + 1/9*k**5 + 0 + 21*k. Factor t(g).
-4*(g - 3)*(g - 1)**2/3
Factor 8/3 - 2/9*v**3 + 2/9*v - 8/3*v**2.
-2*(v - 1)*(v + 1)*(v + 12)/9
Let -9/2 + 5*i**2 - 1/2*i**4 - 4*i + 4*i**3 = 0. Calculate i.
-1, 1, 9
Let x(z) be the second derivative of -18*z + 1 + 5/36*z**3 + 1/72*z**4 + 1/2*z**2. Factor x(l).
(l + 2)*(l + 3)/6
Suppose 6*g + 715 = 9*g - 2*r, g - 225 = -2*r. Let t be ((-22)/(-3))/(g/6204). Factor -88/5*p + 2/5 + t*p**2.
2*(22*p - 1)**2/5
Let t(c) = -344 - 13*c**2 + 344 + 79*c**2. Let z be t(-1). Find q such that 5*q**4 + z*q**2 - 10*q**3 - 5 + 10*q - 66*q**2 = 0.
-1, 1
Let q(k) = -10*k**2 - 1974*k - 6. Let o(g) = -23*g**2 - 3951*g - 14. Let n(f) = 3*o(f) - 7*q(f). Factor n(u).
u*(u + 1965)
Factor -94*p**3 - 320*p**3 + 410*p**3 - 612*p + 216*p**2.
-4*p*(p - 51)*(p - 3)
Suppose 1/2*f**4 + 441/2*f**2 - 221 + 223/2*f**3 - 223/2*f = 0. What is f?
-221, -2, -1, 1
Let t = -2747/10 - -4319/10. Let s = t - 157. Factor 2/5*m**2 + s*m + 0 - 1/5*m**5 + 0*m**3 - 2/5*m**4.
-m*(m - 1)*(m + 1)**3/5
Let 179/3*j - j**2 - 118/3 = 0. Calculate j.
2/3, 59
Let s = 792 + -790. Let j be 0 + (-1)/(-8) + (-7137)/(-2808). Determine r so that -1/6*r**s - 32/3 + j*r = 0.
8
Factor -3166*q**2 + 6316*q**2 + 685*q - 3155*q**2 - 3300.
-5*(q - 132)*(q - 5)
Find c such that -1/7*c**2 + 605/7 + 116/7*c = 0.
-5, 121
Factor o**4 + 3330*o**3 + 120 - 20*o**2 - 495 - 3326*o**3 - 35*o**2 - 75*o**2 + 500*o.
(o - 5)**2*(o - 1)*(o + 15)
Let j(s) be the second derivative of -s**4/3 + 224*s**3 - 670*s**2 + 495*s. Factor j(l).
-4*(l - 335)*(l - 1)
Let d(r) = -2*r**2 - r - 1. Let t be 4/(-6)*5/10*3. Let y(l) = 8*l**2 + 18*l - 18. Let u(b) = t*y(b) - 2*d(b). Factor u(n).
-4*(n - 1)*(n + 5)
Let h(t) be the second derivative of -t**6/20 - 21*t**5/20 + 15*t**4/8 + 26*t - 7. Factor h(m).
-3*m**2*(m - 1)*(m + 15)/2
Let l be (-73)/(-4)*((19 - 9) + -6). Factor l*u**3 - 34*u**2 + 5*u**4 - u**2 + 5*u**2 + 0*u**2.
u**2*(u + 15)*(5*u - 2)
Let k(z) be the first derivative of 4*z**3/3 + 2244*z**2 + 1258884*z - 134. Factor k(s).
4*(s + 561)**2
Suppose -5*a = -173 - 542. Suppose -134 + a = 3*n. Factor 33 + 72*p - 173*p - n*p**2 + 71*p.
-3*(p - 1)*(p + 11)
Let a(r) be the third derivative of r**8/84 - 22*r**7/105 - 2*r**6/15 + 44*r**5/15 + 3078*r**2. Solve a(l) = 0.
-2, 0, 2, 11
Let d(u) be the first derivative of 2*u**3/15 - 531*u**2/5 + 212*u - 1076. Factor d(q).
2*(q - 530)*(q - 1)/5
Let v = -234 - -174. Let t be 1/(18/8) - v/270. Factor -2/3*g**2 + t*g + 0.
-2*g*(g - 1)/3
Let w(l) be the third derivative of -29*l**4/24 - 29*l**3/3 + 33*l**2 - 2*l. Let u be w(-2). Suppose 0 + u*k + 2/11*k**2 + 2/11*k**3 = 0. What is k?
-1, 0
Let l(u) be the second derivative of u**6/120 - 41*u**5/40 + 79*u**4/48 + 27*u**3/4 + 1664*u + 2. Determine i, given that l(i) = 0.
-1, 0, 2, 81
Suppose -46 = -4*m - 38. Solve 20*k + 4*k**m - 53 + 111 - 42 = 0.
-4, -1
Let m(d) be the third derivative of -d**8/840 - 83*d**7/1050 - 503*d**6/300 - 553*d**5/75 + 489*d**4/5 - 864*d**3/5 + 2696*d**2. Determine v so that m(v) = 0.
-18, -8, 1/2, 2
Let u(s) be the second derivative of s**7/70 + s**6/10 - 69*s**5/100 + 11*s**4/20 + 11*s**3/5 - 24*s**2/5 - 2*s - 908. Suppose u(m) = 0. Calculate m.
-8, -1, 1, 2
Let t(k) be the second derivative of -k**7/2 - 57*k**6/10 - 69*k**5/5 - 3*k**4 + 236*k. Suppose t(d) = 0. Calculate d.
-6, -2, -1/7, 0
Let m(p) = -2*p**3 - 81*p**2 + 212*p - 48. Let g be m(-43). Suppose g = 7*j + 20*j. Factor 3/5*l**4 + 12/5*l**j + 3 - 18/5*l**2 - 12/5*l.
3*(l - 1)**2*(l + 1)*(l + 5)/5
Factor 3*j**4 - 10932*j - 866*j**2 - 165*j**3 + 3530*j**2 + 4725*j - 7185*j.
3*j*(j - 31)*(j - 12)**2
Let z(y) = y**3 + 11*y**2 + 19*y + 5. Let s be z(-9). Let m(o) = 2*o**2 + 9*o + 9. Let g(n) = -n**2 - 5*n - 4. Let q(r) = s*m(r) - 9*g(r). Solve q(a) = 0 for a.
-9, 0
Let z(x) = -19*x**2 - 261*x - 2312. Let m = -592 + 598. Let o(l) = 5*l**2 + 65*l + 578. Let h(j) = m*z(j) + 22*o(j). Factor h(b).
-4*(b + 17)**2
Let w(i) = i**3 + 13*i**2 - i + 19. Let n be w(-13). Let l = n + -30. Factor -q**2 + 0*q**3 - 2*q**3 + 2*q - 4*q - 3*q**l.
-2*q*(q + 1)**2
Let p(c) be the third derivative of 1/1260*c**7 + 0*c**4 + 54*c**2 + 0*c**3 + 0 + 0*c - 1/504*c**8 + 1/180*c**6 - 1/360*c**5. Let p(v) = 0. Calculate v.
-1, 0, 1/4, 1
Let t be 10/(-385)*-854 + -22. Factor -t*y**3 + 0 - 12/11*y**2 - 16/11*y.
-2*y*(y + 2)*(y + 4)/11
Let n(w) be the second derivative of -24*w + 0*w**3 - 1/660*w**6 + 1/66*w**5 - 11/2*w**2 + 0 - 1/33*w**4. Let d(q) be the first derivative of n(q). Factor d(p).
-2*p*(p - 4)*(p - 1)/11
Suppose -3*v - 38803*i = -38805*i - 8, 3*i = -5*v + 7. Solve -p**v + 3*p - 9/4 = 0.
3/2
Let y be (-1128)/(-72) - 4/6. Suppose y*u**3 - 26*u**2 + 28*u**4 - 583 + 1166 - 585 - 15*u = 0. What is u?
-1, -2/7, -1/4, 1
Let v(x) = -x**2 + 588*x - 11907. Let n be v(21). Let 1/2*s**4 + n + 0*s + 0*s**2 + 1/2*s**5 - s**3 = 0. What is s?
-2, 0, 1
Factor -44/3 - 1/6*l**2 + 23/3*l.
-