= 0. What is k?
-2, -1, 0
Let n be 3*6/(-27)*(11 + -14). Factor 25*f - 2*f**2 + 0*f**2 - 3*f**n + 2*f**4 - 6*f**3 - f - 3*f**2.
2*f*(f - 3)*(f - 2)*(f + 2)
Let a(k) be the second derivative of k**7/1680 + k**6/1440 - k**5/480 - 17*k**3/3 + 2*k + 3. Let o(u) be the second derivative of a(u). Solve o(z) = 0.
-1, 0, 1/2
Let n(f) = -4*f**5 - 16*f**4 - 26*f**3 - 10*f**2 + 4. Let m(i) = 5*i**5 + 17*i**4 + 28*i**3 + 10*i**2 - 6. Let o(h) = -2*m(h) - 3*n(h). Factor o(p).
2*p**2*(p + 1)**2*(p + 5)
Let h(w) = -12*w**2 - 135*w + 111. Let y be h(-12). Factor -13/2*t + 1/2*t**4 - 3 - 7/2*t**2 + 1/2*t**y.
(t - 3)*(t + 1)**2*(t + 2)/2
Let j be (-6)/18*-9 + 1 + -2. Let f = -1075 + 13983/13. Factor -6/13 - 2/13*g**j + f*g.
-2*(g - 3)*(g - 1)/13
Solve 221*a - 48841/2 - 1/2*a**2 = 0 for a.
221
Let s(w) be the third derivative of 3/8*w**4 - 5*w**2 - 2 - 13/360*w**5 - 2/9*w**3 + 0*w. Suppose s(n) = 0. What is n?
2/13, 4
Suppose o + 4*x = -2, -2*o + 19*x + 16 = 22*x. Let d be (-2)/12*(-28)/o. Factor -r**3 + r - 1/3*r**4 + 2/3 - d*r**2.
-(r - 1)*(r + 1)**2*(r + 2)/3
Let l(q) be the first derivative of q**4/6 + 7*q**3/3 - 8*q**2 - 39*q - 1. Let n(f) be the first derivative of l(f). Factor n(j).
2*(j - 1)*(j + 8)
Factor -21*p**2 + 87/2 + 93/4*p - 3/4*p**3.
-3*(p - 2)*(p + 1)*(p + 29)/4
Let x(a) = -2*a**2 + 19*a + 37. Let j be x(11). Factor 39*v**3 + 19*v**2 + 761*v**j + v**2 + 5*v**5 - 736*v**4 + v**3.
5*v**2*(v + 1)*(v + 2)**2
Let l(x) be the second derivative of -x**4/4 + 362*x**3 - 196566*x**2 + 11*x - 63. Find a, given that l(a) = 0.
362
Let l(o) be the third derivative of 0*o + 19*o**2 + 5/3*o**3 + 0 - 5/24*o**4 - 1/12*o**5. Factor l(a).
-5*(a - 1)*(a + 2)
Factor -70*c - 17*c**2 + 1348*c + 20*c**2.
3*c*(c + 426)
Let c(v) = -33*v**5 - 15*v**4 + 144*v**3 - 204*v**2 + 108*v + 24. Let u(t) = -3*t**5 + 2*t**4 + t + 2. Let n(j) = -c(j) + 12*u(j). What is d in n(d) = 0?
0, 1, 2, 8
Let n(v) be the first derivative of 0*v - 5/21*v**6 - 9/2*v**4 - 18/7*v**3 + 0*v**2 - 17 - 66/35*v**5. Determine z so that n(z) = 0.
-3, -3/5, 0
Let t = -1722 - -1930. Let o be 371/(-49) + 7 + t/70. Factor 0*n + 0*n**2 - o*n**4 - 4/5*n**3 + 0 - 8/5*n**5.
-4*n**3*(n + 1)*(2*n + 1)/5
Let a(i) = -24*i**3 + 719*i**2 - 1841*i - 486. Let p(u) = 70*u**3 - 2156*u**2 + 5522*u + 1444. Let v(f) = 8*a(f) + 3*p(f). Factor v(l).
2*(l - 37)*(l - 3)*(9*l + 2)
Let v(y) be the first derivative of -2*y**5/65 - 17*y**4/13 + 2*y**3/13 + 100*y**2/13 - 136*y/13 - 866. Find r, given that v(r) = 0.
-34, -2, 1
Suppose 4*w = 3*w - 6. Let j be (2/w)/(2/(-6)). Factor 95*y**2 - j + 8*y**3 + 2*y**4 + 25 - 6 - 99*y**2 - 24*y.
2*(y - 1)**2*(y + 3)**2
Let n(j) be the first derivative of -j**6/4 - 7*j**5/20 + 23*j**4/16 + 7*j**3/3 + j**2/2 - 1070. Suppose n(v) = 0. What is v?
-2, -1, -1/6, 0, 2
Let j(v) be the second derivative of -10/3*v**3 + 5*v - 4/3*v**4 + 1/15*v**5 + 0 + 0*v**2 - 1/720*v**6. Let x(m) be the second derivative of j(m). Factor x(o).
-(o - 8)**2/2
Let g(d) = 7*d + 25. Let p be g(-6). Let i = 20 + p. Factor 6*m - 6 + 6*m**4 + 11*m**2 + 18*m**2 - 23*m**2 - 14*m**i + 2.
2*(m - 1)**3*(3*m + 2)
Factor -165*c**4 - c**5 - 25922*c**2 + 137*c**4 - 54*c**4 - 50413*c - 25975*c - 2343*c**3 - 52728.
-(c + 1)*(c + 3)*(c + 26)**3
Suppose 6 = -n, -2*a - 30*n + 32*n + 24 = 0. Let q(x) be the first derivative of a - 2/3*x**3 + 1/8*x**4 + x**2 + 0*x. Factor q(b).
b*(b - 2)**2/2
Let s be (2 - 2)/(34 - 30). Let a(m) be the first derivative of 0*m**2 + s*m + 7 + 1/36*m**4 + 0*m**3. Determine b so that a(b) = 0.
0
Let s(o) = -28*o**4 - 1155*o**3 + 298*o**2 + 8*o + 8. Let v(m) = -55*m**4 - 2310*m**3 + 595*m**2 + 15*m + 15. Let y(n) = -15*s(n) + 8*v(n). Factor y(k).
-5*k**2*(k + 58)*(4*k - 1)
Find i such that -1310*i**2 - 15*i**3 - 117*i**3 + 2536*i**2 - 1343*i**2 + 516 + 528*i - 3*i**4 = 0.
-43, -2, -1, 2
Let f(o) = 5248 + 377*o - 1192 - 138*o**2 - 54*o + 144*o**2. Let m(n) = -2*n**2 - 108*n - 1352. Let p(c) = -4*f(c) - 11*m(c). Determine l, given that p(l) = 0.
-26
Suppose 9*d - 53 = 5*d + 5*f, 0 = -4*d - f + 47. Determine o, given that 618*o + 146 + 155 + o**2 - 341*o - 311*o - d = 0.
17
Suppose 4*t - 33 = -3*n, -3*n + 21 = 2*n + t. Let p(q) be the second derivative of 0 - 1/12*q**4 - 20*q + 1/4*q**2 + 1/12*q**n. Factor p(k).
-(k - 1)*(2*k + 1)/2
Solve -524*p**2 - 4*p**3 + 71320 - 70796 + 4*p - 5*p + 5*p = 0.
-131, -1, 1
Let k(s) be the second derivative of 0 - 1/3*s**3 - 1/900*s**6 + 1/10*s**4 - 15*s + 0*s**2 + 1/60*s**5. Let j(h) be the second derivative of k(h). Factor j(v).
-2*(v - 6)*(v + 1)/5
Let a(m) be the first derivative of 2*m**6/3 + 36*m**5/5 + 25*m**4 + 20*m**3 - 52*m**2 - 96*m + 1749. Let a(p) = 0. Calculate p.
-4, -3, -2, -1, 1
Let z(s) = -50*s**3 + 46*s**2 - 510*s + 1254. Let q(m) = 23*m**3 - 23*m**2 + 256*m - 628. Let y(v) = 13*q(v) + 6*z(v). Find l such that y(l) = 0.
-32, 4, 5
Let u(d) be the first derivative of d**4/12 - d**3/3 + d**2/2 + 13*d - 43. Let c(a) be the first derivative of u(a). Let c(j) = 0. Calculate j.
1
Let d = -105014 - -105018. Let h be (-4)/(-6) - (2 - 2). Let -8/3*i**2 - h + 2/3*i**d - 7/3*i + 1/3*i**5 - 2/3*i**3 = 0. What is i?
-1, 2
Let 331*s**2 - 840*s - 36*s**4 + 4*s**5 + 7*s**3 + 457*s**2 + 410 - 211*s**3 - 122 = 0. What is s?
-6, 1, 12
Suppose 0 = -12*u + 18*u - 48. Factor -2422*o - 16*o**2 - u*o**5 - 28*o**5 + 48*o**4 + 8*o**3 + 2418*o.
-4*o*(o - 1)**2*(3*o + 1)**2
Let o = -305 - -295. Let x(t) = 22*t + 222. Let f be x(o). Factor 8/7*d - 2/7*d**f + 0.
-2*d*(d - 4)/7
Let p(u) be the third derivative of u**7/7560 - u**6/180 + u**5/10 + 29*u**4/12 - 60*u**2. Let z(j) be the second derivative of p(j). Factor z(s).
(s - 6)**2/3
Let b(v) be the second derivative of -v**6/60 - 7*v**5/40 - 2*v**4/3 - v**3 - 1901*v. Let b(g) = 0. Calculate g.
-3, -2, 0
Let d be 4/(-6)*(1626/(-4878))/((3 - 1)/18). Let -2 - 3*o**d + 9/2*o + 1/2*o**3 = 0. Calculate o.
1, 4
Let z be (-2)/(-40)*200*18/432. Let c(h) be the first derivative of -8/9*h**3 + 0*h + z*h**4 + 25 + 2/3*h**2 - 1/15*h**5. Solve c(d) = 0.
0, 1, 2
Let -50*a**3 - 490*a + 5/2*a**4 - 1715/2 + 315*a**2 = 0. What is a?
-1, 7
Let d(i) be the first derivative of i**6/90 + 11*i**5/30 + 5*i**4/3 + 7*i**3/3 + 2*i + 88. Let g(s) be the third derivative of d(s). Factor g(o).
4*(o + 1)*(o + 10)
Let f be 42*45/36*2/3. Let c = f + -27. Find s, given that 0*s**2 - 12*s - 6*s**2 + c*s + 0*s**3 - 2*s**3 = 0.
-2, -1, 0
Factor -22/25*q**2 - 624/25 - 596/25*q.
-2*(q + 26)*(11*q + 12)/25
Factor -8/7*n + 4/7*n**3 + 0 - 4/7*n**2.
4*n*(n - 2)*(n + 1)/7
Let g be (-79)/3 + (-4)/6. Let m be g/63 + (-34)/(-14). Solve -2*u**2 + 6*u**2 + 24 - 6*u**3 - 27 + 5*u**m = 0 for u.
-1/2, 1
Suppose 37*v - 45*v = -24*v + 32. Let g(p) be the first derivative of 115/8*p**v - 15/4*p - 50/3*p**3 - 6 - 5*p**4. Find l such that g(l) = 0.
-3, 1/4
Let c(m) be the second derivative of m**5/4 + 1225*m**4/4 + 112240*m**3 - 338560*m**2 + m - 94. Suppose c(f) = 0. Calculate f.
-368, 1
Let t(g) be the first derivative of 4*g**3/3 - 6*g**2 - 112*g - 282. Let t(k) = 0. What is k?
-4, 7
Let d(r) = -2*r**2 - 88*r - 166. Let y be d(-42). Let o(c) be the first derivative of -3 - y*c**3 - 1/2*c**4 + 0*c - 2*c**2. Find u, given that o(u) = 0.
-2, -1, 0
Let u = 406/13 + -1205/39. Let a(s) be the first derivative of -8/45*s**3 + 1/30*s**4 + u*s**2 - 4/15*s - 28. Factor a(t).
2*(t - 2)*(t - 1)**2/15
Suppose 4*w - 23 = 3*v + 141, 0 = -2*v - w - 113. Let u be -4*(-2)/28 + (-12)/v. Factor 0 + 1/4*d + 0*d**3 - 1/4*d**5 + u*d**2 - 1/2*d**4.
-d*(d - 1)*(d + 1)**3/4
Factor 451 + 2*n**2 + 1065 + 927 - 363 + 139*n - 415*n.
2*(n - 130)*(n - 8)
Let c = -145 - -145. Let z be (c + (1 - 6))/((-1)/2). Let -z*f**5 + 25*f**5 - 35*f**3 - 25*f**4 + 18*f - 20 + 45*f**2 + 2*f = 0. Calculate f.
-1, 2/3, 1, 2
Let b be (425/20)/17 - (-150)/8. Suppose 4 = t + q, -t - 5*q - b = -10*q. Factor 1/6*v**2 - 2/3 + t*v.
(v - 2)*(v + 2)/6
Let s(j) be the second derivative of -4*j**6/45 + 62*j**5/15 - 529*j**4/18 + 26*j**3 + 5462*j. Determine f so that s(f) = 0.
0, 1/2, 9/2, 26
Factor -2/5*t**3 - 38*t + 68/5*t**2 + 124/5.
-2*(t - 31)*(t - 2)*(t - 1)/5
Factor 62*v**2 + 792 + 170*v**2 - 470*v - 84*v - 20*v**3 - 226*v.
-4*(v - 3)*(v - 2)*(5*v - 33)
Let w(d) = -d**3 + d**2 - 1. Let q(o) = -22*o**3 + 16 + 3813*o - 16*o**2 - 3785*o - 2*o**3. Let