be the third derivative of -1/210*k**7 + 0*k + 12*k**2 - 1/40*k**6 + 7/60*k**5 - 3*k**3 + 5/8*k**4 + l. Factor x(a).
-(a - 2)*(a - 1)*(a + 3)**2
Suppose -10*i = -5*i - 30. Let h = 606 - 538. Let 128 - 69 + 2*f**2 + i*f - h - 3*f**2 = 0. Calculate f.
3
Suppose -5 = 8*l - 9*l. Let i = l + -3. Factor 46*v + 50*v**i - 11 + 5 + 2.
2*(v + 1)*(25*v - 2)
Find c such that -117*c - 3*c**5 - 479 - 12*c**4 + 390*c**2 + 101 + 912239*c**3 - 912119*c**3 = 0.
-7, -3, -1, 1, 6
Let p = 5385 - 5379. Let c(a) be the second derivative of 0*a**2 - 1/30*a**p + 1/3*a**3 + 1/12*a**4 + 0 - 42*a + 1/42*a**7 - 3/20*a**5. Factor c(o).
o*(o - 2)*(o - 1)*(o + 1)**2
Suppose -3*r = 24, 4*m - 3*r - 396 = -360. Factor 2/3*y**m - 20/9*y - 26/9*y**2 + 0.
2*y*(y - 5)*(3*y + 2)/9
Let k(o) = -2*o**2 - 286*o - 9536. Let n be k(-53). Factor -2/9*m**n - 2*m**3 + 0 - 6*m - 6*m**2.
-2*m*(m + 3)**3/9
Let j(x) = 2*x + 23. Let m be j(-9). Let l be 6/m*(-3)/((-54)/12). Solve l*v**5 + 0*v + 0*v**4 - 4/5*v**3 + 0*v**2 + 0 = 0 for v.
-1, 0, 1
Let y = 10 + -9. Let v be (7 - 5) + 0 + y. Let -2*g - 4*g**3 + g**5 + g**3 + 3*g**4 - 3*g**2 + 4*g**v = 0. What is g?
-2, -1, 0, 1
Suppose -d - 4*y + 11 = 0, -2*d + 4*y - 2 = -0*y. Suppose z = -d*z + 24. Factor z*n**3 + 24*n**2 - 16*n**3 - 48*n + 7*n**3.
-3*n*(n - 4)**2
Let g(r) be the first derivative of r**5/150 - r**4/15 + 4*r**3/15 - 3*r**2/2 - 8*r - 88. Let h(i) be the second derivative of g(i). Factor h(u).
2*(u - 2)**2/5
Let m be ((-3)/(((-1080)/(-32))/15))/(6/(-8)). Determine f so that -m*f**2 + 4/9*f + 4/9*f**4 + 0 - 1/9*f**3 = 0.
-2, 0, 1/4, 2
Suppose 3*q + 4*o + 492 = 0, -4*q + 9*o = 13*o + 660. Let r be (-10)/(-40) - 30/q. Factor r*z**3 + 0 + 0*z - 6/7*z**2.
3*z**2*(z - 2)/7
Let y(f) = -12*f**2 - 18*f + 79. Let x(m) = -5*m**2 - 7*m + 40. Let o(d) = -15*x(d) + 6*y(d). What is t in o(t) = 0?
-6, 7
Let l(s) be the first derivative of 0*s**3 + 0*s**2 + 3/5*s**5 - 55 - 1/2*s**4 + 0*s - 1/6*s**6. Let l(x) = 0. Calculate x.
0, 1, 2
Let g(s) be the second derivative of s**7/399 - 16*s**6/95 + 39*s**5/19 + 2596*s**4/57 - 3789*s**3/19 + 5832*s**2/19 + 3*s - 1324. Find d, given that g(d) = 0.
-8, 1, 27
Factor 16/5*k**4 - 48/5*k**2 + 0 + 4/5*k**5 - 8/5*k**3 + 36/5*k.
4*k*(k - 1)**2*(k + 3)**2/5
Let v be 1/((-126)/94) + (-13248)/(-14904). Let -4/7 - v*k**3 - 8/7*k - 5/7*k**2 = 0. What is k?
-2, -1
Suppose 6*s + 7*s = -s. Suppose s = 66*r - 63*r - 72. Factor r*n**2 + 9*n**4 - 6*n**4 - 5*n**2 + 8*n**2 - 18*n**3.
3*n**2*(n - 3)**2
Suppose -241*x - 19596 + 21042 = 0. Solve -x*j**3 + 0 - 24/5*j**2 + 3/5*j**5 + 0*j - 3/5*j**4 = 0 for j.
-2, -1, 0, 4
Determine z, given that 4/3*z**4 - 5/2*z + 1/6*z**5 + 7/3*z**3 - 4/3*z**2 + 0 = 0.
-5, -3, -1, 0, 1
Factor 316/3*c + 1/3*c**2 + 105.
(c + 1)*(c + 315)/3
Suppose 40 - 29/3*x**3 + 1/3*x**4 - 34/3*x**2 + 116/3*x = 0. Calculate x.
-2, -1, 2, 30
Factor 27 - 38*a**2 - 1242*a - 253*a**2 + 9*a**3 + 66*a**3 + 712*a + 719*a.
3*(a - 3)*(a - 1)*(25*a + 3)
Let z = 2174/105 + -144/7. Let g be ((-108)/42)/((-8)/(1344/90)). Factor z*b**2 + g + 8/5*b.
2*(b + 6)**2/15
Suppose 11*g - 26 = 7. Determine k so that -7 - 20*k + 112*k - 37 + 3*k**3 - 52*k**2 + k**g = 0.
1, 11
Let v = 10 - 8. Suppose -5 = -v*t + 1. Factor 206*s**4 - 207*s**4 + 4*s**5 + 4*s**t - 6*s**3 - 3*s**5.
s**3*(s - 2)*(s + 1)
Let k(v) be the third derivative of -3*v**7/65 + 359*v**6/65 - 1627*v**5/390 - 57*v**4/26 + 136*v**3/39 - 658*v**2 - 2*v. Suppose k(i) = 0. What is i?
-2/7, 1/3, 68
Let s(w) = -13*w**2 + 33*w - 38. Let t(d) = -8*d**2 + 34*d - 38. Suppose -314*y + 42 = -321*y. Let g(p) = y*t(p) + 4*s(p). Factor g(f).
-4*(f - 1)*(f + 19)
Let k(u) = 35*u**3 - 150*u**2 - 185*u - 85. Let p(i) = -49*i**3 + 148*i**2 + 185*i + 90. Let o(s) = -6*k(s) - 5*p(s). Solve o(x) = 0 for x.
-3, -1, -4/7
Let s(i) be the first derivative of -1/3*i**4 + 2 + 3*i**2 + 19*i - 5/3*i**3. Let d(b) be the first derivative of s(b). Find l such that d(l) = 0.
-3, 1/2
Suppose -2*j = s, -4*j + 5*s - s = -0*j. Let x(g) be the third derivative of -1/30*g**5 + 0 + 11*g**2 - 1/6*g**4 + j*g**3 + 0*g. Solve x(m) = 0.
-2, 0
Let t(l) be the second derivative of -l**7/42 + l**6/15 + 3*l**5/20 - 48*l + 4. Factor t(u).
-u**3*(u - 3)*(u + 1)
Let c be 6*(6/(-9))/(-2). Suppose -44 + v**2 - v**2 - v**2 + 48*v - 3*v**c = 0. What is v?
1, 11
Let x(v) = v**2 + 5*v - 7. Let a be x(4). Find t, given that -90 + 155*t**2 - 6*t**4 + a*t**4 + 10*t**4 - 185*t**3 + 285*t + 2*t**4 = 0.
-1, 2/7, 3
Let z be (24/(-3) + 9)*266/(-825). Let b = 3/275 - z. Find w such that -2/3*w - 1/3*w**4 + 5/3*w**2 + 0 - w**3 + b*w**5 = 0.
-2, 0, 1
Suppose 5*i + 4*u = 1181, -5*u = 2*i - 290 - 179. What is n in -n**2 - 61*n + 4418 - 256*n + 3*n**2 + i*n - 108*n = 0?
47
Determine p so that 436 + 16*p**2 - 20 - 5*p**3 + 24*p**2 + 144 + 542*p - 162*p = 0.
-4, -2, 14
Let k(w) = w**3 + 62*w**2 - 261*w + 189. Let x(g) = -3*g**3 - 185*g**2 + 779*g - 567. Let c(t) = 8*k(t) + 3*x(t). Factor c(a).
-(a - 3)*(a - 1)*(a + 63)
Let v = 1329/2636 + -11/2636. Factor v*f**3 + 0 + 0*f + 2*f**2.
f**2*(f + 4)/2
Let z(i) = -20*i**3 - 189*i**2 - 151*i + 349. Let t(u) = 4*u**3 + 38*u**2 + 30*u - 70. Let o(f) = 11*t(f) + 2*z(f). Suppose o(w) = 0. Calculate w.
-9, -2, 1
Let h(a) = -10*a**3 + 45*a**2 - 25*a. Let f(i) = i**2 + 70*i - i**3 - 37*i + 2*i**2 - 33*i. Let n(k) = -5*f(k) + h(k). Factor n(z).
-5*z*(z - 5)*(z - 1)
Let y be 4*(32 - (-12298)/(-387) - (-44)/126). What is c in -94/7*c - y + 12/7*c**2 = 0?
-1/6, 8
Let 351*i**5 + 226*i**3 + 43*i**5 - 57*i**2 - 55*i**2 - 116*i**4 - 392*i**5 = 0. Calculate i.
0, 1, 56
Let u(b) be the second derivative of b**5/180 - 43*b**4/36 + 1849*b**3/18 + 181*b**2/2 + 182*b. Let c(y) be the first derivative of u(y). Factor c(n).
(n - 43)**2/3
Let l(a) be the first derivative of 5*a**4/2 - 652*a**3/3 + 26569*a**2/5 - 9228. Factor l(u).
2*u*(5*u - 163)**2/5
Let t(a) be the second derivative of -a**6/6 - 17*a**5/4 + 15*a**4/2 + 4145*a. Factor t(r).
-5*r**2*(r - 1)*(r + 18)
Let b(q) = 4*q**3 + 3*q**2 - 3*q - 1. Suppose 40*l = 36*l + 4. Let v be b(l). Suppose -2/11*k**v + 0*k + 14/11*k**2 + 0 = 0. What is k?
0, 7
Suppose -3*c - 14 = -693*t + 692*t, 0 = -5*t + c + 14. Factor 4/3*g**t - 2/3*g**5 - 10/3*g**3 + 0 + 0*g + 8/3*g**4.
-2*g**2*(g - 2)*(g - 1)**2/3
Let p be ((7 - (2 + 9))/12)/(1/(-6)). Let s be (-16)/(-12)*3 + (3 - 7). What is z in 4/15*z + 2/5*z**p + 2/5*z**4 + s - 16/15*z**3 = 0?
-1/3, 0, 1, 2
Let m(u) = 18*u + 185. Let w be m(-10). Let l = -4 + 9. Solve -7*x + 0 + l*x**2 - x - 2*x + w = 0.
1
Let h(u) be the second derivative of u**7/280 + u**6/6 + 37*u**5/40 + 9*u**4/4 - 145*u**3/6 - 100*u. Let z(l) be the second derivative of h(l). Factor z(q).
3*(q + 1)**2*(q + 18)
Let q be (4620/(-112) - -42)/((-27)/(-12)). Factor -1/6*t**2 + 1/2*t - q.
-(t - 2)*(t - 1)/6
Let x(w) be the third derivative of w**8/1008 + 17*w**7/630 - 13*w**6/120 - 17*w**5/180 + 19*w**4/36 - 1859*w**2. Find r such that x(r) = 0.
-19, -1, 0, 1, 2
Let l(k) = -9*k**4 + 56*k**3 + 73*k**2 - 137*k - 34. Let c(d) = 2*d**4 - 14*d**3 - 18*d**2 + 34*d + 8. Let z(w) = -17*c(w) - 4*l(w). Factor z(n).
2*n*(n - 1)*(n + 3)*(n + 5)
Let u(t) be the first derivative of 5/24*t**4 + 0*t**3 - 5/3*t - 5/4*t**2 + 35. Factor u(d).
5*(d - 2)*(d + 1)**2/6
Suppose -11477*q = -10060*q. Factor 0*b**2 + 58/7*b**4 + q*b + 0 - 12/7*b**3.
2*b**3*(29*b - 6)/7
Let q be 0/(-4)*((-3)/(-15) + 16/20). Find v such that q*v**3 + 16/13*v + 12/13*v**2 + 6/13 - 2/13*v**4 = 0.
-1, 3
Let r(s) be the second derivative of -s**6/195 + 17*s**5/65 - 197*s**4/78 + 200*s**3/39 + 432*s**2/13 - 3*s + 245. What is y in r(y) = 0?
-1, 4, 27
Find c such that 60 + 72 + 29 + 66*c - 25 - c**2 = 0.
-2, 68
Let g(m) be the first derivative of -m**3/3 - 11*m**2/2 - 4*m - 693. Let w(q) = 2*q + 0*q - 3*q + 1. Let x(f) = -g(f) + 3*w(f). Determine j so that x(j) = 0.
-7, -1
Let m = -310/233 - -2249/1165. Suppose -m*k**2 + 72/5*k - 432/5 = 0. What is k?
12
Let h(t) be the first derivative of -t**7/7560 + 7*t**6/3240 - t**5/270 - t**4/18 - 251*t**3/3 - 99. Let k(w) be the third derivative of h(w). Solve k(j) = 0.
-1, 2, 6
Let v = 767026 - 767022. What is q in 5/4*q**5 + 0 - 3/2*q - 3/4*q**v - 25/4*q**2 - 27/4*q**3 = 0?
-1, -2/5, 0, 3
Let c be (-1312)/32 + 5229/126. Factor c*f**2 - 7/2*f + 3.
(f - 6)*(f - 1)/2
Suppose 246/5 + 2/5