 f = -1963510/3891 + 5978227406/11209971. Let h = -2/8643 + f. Let -88/3*a - 32/3 - 1/6*a**5 - 73/6*a**3 - h*a**2 - 7/3*a**4 = 0. What is a?
-4, -1
Let r = -647 - -654. Let y be (-2 + -6)*(14/r)/(-4). Solve 0*q**3 + 4/5*q + 0 + 16/5*q**y - 12/5*q**2 = 0 for q.
-1, 0, 1/2
What is o in -3/2*o**2 - 1350 + 90*o = 0?
30
Let y(r) = 807*r**4 + 4293*r**3 + 3285*r**2 + 663*r - 12. Let t(m) = 324*m**4 + 1717*m**3 + 1314*m**2 + 265*m - 5. Let l(s) = 12*t(s) - 5*y(s). Factor l(b).
-3*b*(b + 5)*(7*b + 3)**2
Solve 1/6*n**2 + 70/3 - 11/2*n = 0 for n.
5, 28
Let q = 59 - 57. Factor -r - 7 + 1 - 12*r**3 + 17*r - 2*r**5 + 10*r**4 - 4*r**2 - q*r.
-2*(r - 3)*(r - 1)**3*(r + 1)
Let z(b) = -6*b**2 - 138*b - 712. Let o(x) = -2*x**2 - 46*x - 234. Let a(g) = -20*o(g) + 6*z(g). Factor a(m).
4*(m + 6)*(m + 17)
Let a be (-9)/(-12) - (-2744)/96. Let k = 185/6 - a. Determine l so that -k*l**2 - 1/2*l**3 + 0 - l = 0.
-2, -1, 0
Let x(q) = 3*q**2 - 266*q + 17693. Let m(k) = -13*k**2 + 1064*k - 70774. Let g(n) = 2*m(n) + 9*x(n). Find b, given that g(b) = 0.
133
Let r = -149 - -153. Solve 336*f**2 - 18 + 28*f**r - 60 + 313*f - 212*f**3 - 178 + 7*f = 0 for f.
-1, 4/7, 4
Factor 24 + 91 - 30*v**2 + 13 + 316*v - 2*v**4 + 276*v**2 + 56*v**3.
-2*(v - 32)*(v + 1)**2*(v + 2)
Let s = 422 - 423. Let p(b) = 1. Let k(h) = -3*h**3 - 318*h**2 - 8427*h + 5. Let j(t) = s*k(t) + 5*p(t). Factor j(x).
3*x*(x + 53)**2
Let i be (-2 - -12)/1 - (-445)/(-45). Let t(v) be the first derivative of 2*v + 7/6*v**2 + i*v**3 - 21. Factor t(z).
(z + 1)*(z + 6)/3
Suppose 5*k = j - 5*j - 10, 0 = -4*j - 20. Let n = -8 - -53. Factor 5*z**3 + 75*z + n + 23*z**2 - z**2 + 13*z**k.
5*(z + 1)*(z + 3)**2
Factor -5760*a - 3/5*a**3 + 55296/5 + 582/5*a**2.
-3*(a - 96)**2*(a - 2)/5
Let y(v) be the first derivative of -2*v**7/105 - v**6/30 + 2*v**5/5 - 15*v**2 + 55. Let p(i) be the second derivative of y(i). Factor p(f).
-4*f**2*(f - 2)*(f + 3)
Factor 196*n - 420*n**2 - 810*n**4 + 806*n**4 + 952 - 279 + 76*n**3 + 2071.
-4*(n - 7)**3*(n + 2)
Let c(n) be the third derivative of n**8/112 + 33*n**7/280 + 19*n**6/40 + 9*n**5/80 - 49*n**4/16 - 3*n**3 - 3*n**2 - 124*n + 4. Suppose c(i) = 0. What is i?
-4, -3, -2, -1/4, 1
Let z = -63124 + 504995/8. Factor -3/2*i - 9/8*i**2 - z.
-3*(i + 1)*(3*i + 1)/8
Solve 3*r**5 - 161*r**4 + 1186*r**3 + 8814 - 825*r**3 + 13965*r**2 + 7650 + 8*r**4 + 1112*r**3 - 31752*r = 0.
-7, 1, 28
Let z(w) be the third derivative of -w**10/15120 + w**8/3360 - 11*w**4/24 - w**3/2 - 2*w**2 + 17*w. Let m(i) be the second derivative of z(i). Factor m(s).
-2*s**3*(s - 1)*(s + 1)
Let c(b) be the second derivative of -2*b**7/105 - b**6/30 - 247*b**2/2 - 71*b. Let s(u) be the first derivative of c(u). Find d, given that s(d) = 0.
-1, 0
Let -177/2*t - 1/4*t**2 + 0 = 0. Calculate t.
-354, 0
Let d(h) be the third derivative of h**7/70 - h**6/4 + 8*h**5/5 - 4*h**4 - 3225*h**2. Factor d(j).
3*j*(j - 4)**2*(j - 2)
Let q be (-10971)/27 + 8 + -1. Let o = q - -402. Factor -o + 4/3*t + 4/3*t**2.
4*(t - 1)*(t + 2)/3
Suppose -5*l + 7 = -23. Suppose 5*k - v - 11 = 0, 0 = -k + l*k - 5*v + 5. Factor -7*q**3 - 8*q**2 - 4 - 3*q**k + 8*q**3 - 13*q + 3*q.
-2*(q + 1)**2*(q + 2)
Suppose -c + 6 = 3*i, -2*c = -7*c. Factor -20*b**2 - 20 - 84*b**2 - 464*b**3 + 80*b + 489*b**3 + 19*b**i.
5*(b - 2)*(b - 1)*(5*b - 2)
Let o(p) be the second derivative of 0 - 5/24*p**3 + 3/40*p**5 + 37*p - 1/168*p**7 + 3/8*p**2 - 1/120*p**6 - 1/24*p**4. Factor o(u).
-(u - 1)**3*(u + 1)*(u + 3)/4
Let b(y) be the first derivative of 9*y**4/16 - 302*y**3/3 + 1465*y**2/8 - 133*y/2 - 2485. Factor b(l).
(l - 133)*(l - 1)*(9*l - 2)/4
Let z = 2 - -7. Let j be (-1)/(-4)*72/z. Solve -5*d**4 - 601*d**2 - 5*d**5 + 606*d**j - d**3 + 6*d**3 = 0 for d.
-1, 0, 1
Let r(w) = -w**3 + w**2 - w. Let h(g) = 2*g**3 - g**2 + 3*g. Let o(l) = -5*h(l) - 15*r(l). Factor o(c).
5*c**2*(c - 2)
Let l(f) be the second derivative of 4 + 0*f**2 - 1/36*f**4 + 6*f - 19/18*f**3. Factor l(o).
-o*(o + 19)/3
Let u = 70 - 60. Let k be 2/u + (-4287)/(-15). Let -8 + 540*a + 60*a**3 - k + 2*a**4 - 111 - 7*a**4 - 270*a**2 = 0. Calculate a.
3
Let m(g) be the first derivative of 0*g + 77 + 2/9*g**3 + g**2. Determine s so that m(s) = 0.
-3, 0
Let p(k) = -17*k - 639. Let s be p(-38). Let b(a) be the first derivative of 0*a - 4/9*a**2 + s - 1/9*a**4 - 4/9*a**3. Factor b(q).
-4*q*(q + 1)*(q + 2)/9
Let -1140*a**2 - 3*a**4 - 81*a**3 - 556*a - 572*a - 213*a**3 + 0*a**4 = 0. Calculate a.
-94, -2, 0
Let c(a) be the first derivative of a**4 + 60*a**3 + 88*a**2 + 245. Factor c(d).
4*d*(d + 1)*(d + 44)
Let w(p) be the second derivative of 2*p**6/15 + 131*p**5/5 - 265*p**4/3 + 266*p**3/3 - 454*p. Find v, given that w(v) = 0.
-133, 0, 1
Suppose 1659 = 30*l + 1569. Let -4/9*r**4 - 4/9*r - 8/9 + 4/9*r**l + 4/3*r**2 = 0. What is r?
-1, 1, 2
Factor -224/3 - 1/3*p**3 - 8*p**2 + 83*p.
-(p - 7)*(p - 1)*(p + 32)/3
Let r(s) be the second derivative of -s**5/60 - 21*s**4/4 - 94*s**3/9 - 1396*s. Factor r(h).
-h*(h + 1)*(h + 188)/3
Let n(z) = 2187*z**2 + 62 - 28*z - 2189*z**2 - 2*z. Let k(h) = -h**2 - 31*h + 61. Let q(m) = 6*k(m) - 5*n(m). Factor q(o).
4*(o - 7)*(o - 2)
Let p(c) be the second derivative of 38*c + 6*c**3 + 3/10*c**6 + 0 - 3/10*c**5 - 6*c**2 - 9/4*c**4. Factor p(l).
3*(l - 1)**2*(l + 2)*(3*l - 2)
Let f(z) be the second derivative of -1/20*z**2 + 0*z**5 - 1/300*z**6 - 99*z + 0*z**3 + 1/60*z**4 + 0. Suppose f(r) = 0. What is r?
-1, 1
Let t be 14*((-1)/(-6))/((-36)/(-108)). Let w(k) be the second derivative of 0 + 3*k**2 + t*k + 13/2*k**3 + 6*k**4 + 27/20*k**5. Factor w(c).
3*(c + 2)*(3*c + 1)**2
Let h(x) = 2*x**3 + 21*x**2 + 9*x + 1. Let a be h(-10). Find o, given that 154*o**3 - 165*o**3 - 2 - 4*o**2 - a*o**2 - 12*o**2 + 3*o**2 - 15*o = 0.
-1, -2/11
Let 28/5*s**3 + 76/5 + 572/5*s + 1079/5*s**2 = 0. What is s?
-38, -2/7, -1/4
Let j be 1/(-4)*27/(-18). Let r(n) be the third derivative of -7/3*n**5 + 15/2*n**4 - 1/42*n**7 + j*n**6 - 40/3*n**3 + 0 + 20*n**2 + 0*n. Factor r(y).
-5*(y - 4)*(y - 2)**2*(y - 1)
Let j = 17721/5 + -53123/15. Let r = -210/11 + 806/33. Let j*n + r + 1/3*n**2 = 0. What is n?
-4
Let g(i) be the third derivative of 3/28*i**4 - 1/70*i**5 - 1/735*i**7 + 0*i + 0*i**3 - 1/84*i**6 + 0 - 181*i**2. Factor g(h).
-2*h*(h - 1)*(h + 3)**2/7
What is a in -2 - 8390*a - 17598025/2*a**2 = 0?
-2/4195
Let o = -6 - -11. Factor 28*i**3 + 82*i**3 - 160*i + 4*i**5 + 4*i**o + 45*i**4 - 3*i**5.
5*i*(i - 1)*(i + 2)*(i + 4)**2
Let z(y) be the third derivative of -y**7/420 - y**6/48 - y**5/60 + y**4/6 - 6*y**2 + 47*y - 1. Find i, given that z(i) = 0.
-4, -2, 0, 1
Let i = 122198 - 977581/8. Find b, given that 1/8*b**2 - i*b + 1/4 = 0.
1, 2
Let h(x) = -2*x**2 - 7*x + 7. Let n = 38 + -42. Let o be h(n). Solve 0*k**o + 4*k**3 - 48*k + 18*k + 26*k = 0 for k.
-1, 0, 1
Let d(n) = -11*n + 21*n**2 + 2*n**3 - 11 - 10*n**2 + 6*n**2. Let a(w) = -w**3 - 9*w**2 + 6*w + 6. Let r = -16 - -10. Let o(y) = r*d(y) - 11*a(y). Factor o(p).
-p**2*(p + 3)
Let q(s) be the second derivative of -10609*s**4/60 + 206*s**3/5 - 18*s**2/5 - 173*s + 4. Factor q(w).
-(103*w - 6)**2/5
Let y(g) be the second derivative of g**7/1400 + g**6/150 + g**5/50 + 22*g**3/3 + g**2/2 - 63*g. Let k(d) be the second derivative of y(d). Factor k(c).
3*c*(c + 2)**2/5
Let l(y) = -2*y**3 - 15*y**2 - 16*y + 3. Let h be l(-6). Let c(s) = -5*s - 41. Let x be c(h). Factor -16/7*w**3 - 2/7*w**x + 0*w + 0*w**2 + 0.
-2*w**3*(w + 8)/7
Let z be (3 - 10) + -58 - (1 + 4). Let a be ((-9)/(-21) + -1)/(25/z). Factor -a*b**3 - 8/5*b - 2/5*b**4 - 2/5 - 12/5*b**2.
-2*(b + 1)**4/5
Let a(j) be the third derivative of 0 + 80/9*j**3 + 0*j + 1/450*j**5 - 3*j**2 - 2/9*j**4. Determine i, given that a(i) = 0.
20
Let r = -57/833 - -63821/7497. Factor r*m**3 + 28/3*m**2 + 4/9 + 4*m + 8/3*m**4.
4*(m + 1)**3*(6*m + 1)/9
Suppose -102 = -2*a + 50. Let n = -74 + a. Let 25*d - 30 + 3*d**n + 7*d**2 - 15*d**2 = 0. What is d?
2, 3
Let c be (-1 - 0) + (1426/161 - (10 - 12/4)). Determine h, given that c*h**2 + 0*h - 2/7*h**3 - 8/7 = 0.
-1, 2
Let v(d) be the second derivative of d**7/420 - d**5/120 - 95*d**2/2 + 10*d - 2. Let a(s) be the first derivative of v(s). Factor a(o).
o**2*(o - 1)*(o + 1)/2
Suppose -6*i + 92 = -100. Suppose 32*t**3 - 602*t**4 + 606*t**4 - i*t - 84*t**2 + 8 + 72 = 0. Calculate t.
-10, -1, 1, 2
