k**3 - 18/5*k**w - 8 - 48/5*k = 0. What is k?
-5, -2
Let g(l) be the third derivative of -2*l**7/105 + 41*l**6/30 - 8*l**5/3 - 515*l**2 + 2. Solve g(u) = 0.
0, 1, 40
Suppose 0 = -28*l + 30*l - 408. Let y be (14/(-6))/((-238)/l). Factor -22/9*r**y + 26/9*r - 4/9.
-2*(r - 1)*(11*r - 2)/9
Suppose -h - 18 = 3*t - 8*t, -t = -h - 2. Suppose -4*x - 3*j - 43 = -5*x, -2*x + h*j = -86. Solve -7*z - 2*z**3 + 43 + 8*z**2 - x + z = 0.
0, 1, 3
Let t(n) be the second derivative of -n**6/6 - 39*n**5/10 - 61*n**4/4 + 193*n**3/3 - 60*n**2 - 9677*n. Let t(p) = 0. What is p?
-12, -5, 2/5, 1
Let v be (-303)/4*(-1580)/10665 + -11. Factor v*r**3 - 8/3*r + 0 + 22/9*r**2.
2*r*(r - 1)*(r + 12)/9
Let o(y) be the first derivative of -y + 7 - 1/3*y**3 - 2*y**2. Let t(g) = -9*g**2 - 39*g - 9. Let n(s) = 21*o(s) - 2*t(s). Solve n(w) = 0 for w.
-1
Suppose -5*s = -4*q + 50 - 19, 0 = -2*q - 5*s + 23. Factor 29*z - 9 - 2 + 18*z**3 - q - 50*z**2 + 25*z - 2*z**4.
-2*(z - 5)*(z - 2)*(z - 1)**2
Let a(g) be the second derivative of g**7/63 - g**6/9 - 7*g**5/30 + 77*g**4/18 - 46*g**3/3 + 24*g**2 + 678*g - 1. Let a(q) = 0. Calculate q.
-4, 1, 2, 3
Let j(d) be the second derivative of d**5/70 + d**4/42 - 58*d**3/21 - 16*d**2 - 3868*d. Factor j(q).
2*(q - 8)*(q + 2)*(q + 7)/7
Let d = -201709/4 - -50428. Suppose x - 8 = -4*f, -5*f + 4*x + 10 = 3*x. Factor 3/2*q**f + 9/4*q + d.
3*(q + 1)*(2*q + 1)/4
Let r(i) be the first derivative of 9*i**5/40 - 287*i**4/16 + 1136*i**3/3 + 128*i**2 - 4475. Factor r(a).
a*(a - 32)**2*(9*a + 2)/8
Let l(h) be the first derivative of 5/3*h**3 + 405*h - 45*h**2 + 9. Find d, given that l(d) = 0.
9
Let c be 23680/2304*14/525 + 4/(-54). Let i be ((-2)/(-8))/(10/8). Solve -i - c*p**2 - 2/5*p = 0 for p.
-1
Let o = -77 + 79. Factor 5*m - 8493 + 8478 + 7*m + 3*m**o.
3*(m - 1)*(m + 5)
Suppose -89*k + 114*k + 173*k**2 - 150 - 81*k + 2*k**4 + 56*k**3 - 25*k**2 = 0. Calculate k.
-25, -3, -1, 1
Let q(v) = -v**3 - 24*v**2 - 49*v - 35. Let k be q(-22). Let m = k - 75. Let -9/7*l**2 + m + 6/7*l + 3/7*l**4 + 0*l**3 = 0. Calculate l.
-2, 0, 1
Suppose -576 + 1710 = 18*z. Suppose -4 = 61*o - z*o. Factor 2/9*h**3 + 2/3*h - 2/3*h**o - 2/9.
2*(h - 1)**3/9
Determine d, given that -99*d**3 + 188*d + 3 + 176*d**4 + 307*d**3 - 3 + 344*d**3 + 560*d**2 - 4*d**5 = 0.
-1, 0, 47
Suppose 322 = 11*o - 4*o. Let b = o - -23. Find c, given that 69*c**3 + 3*c**5 - b*c**3 - 3*c - 6*c**4 + 6*c**2 = 0.
-1, 0, 1
Factor -376/3 - 178/9*k**2 - 928/9*k + 2/9*k**3.
2*(k - 94)*(k + 2)*(k + 3)/9
Suppose 19*x - 1644 = 1301. Let f be (-93)/x + (-594)/(-40). Let 1 - k - 27/4*k**3 - f*k**2 = 0. Calculate k.
-2, -1/3, 2/9
Let m(h) be the first derivative of -3*h**5/35 - 339*h**4/28 + 229*h**3/7 - 345*h**2/14 - 1297. Suppose m(k) = 0. Calculate k.
-115, 0, 1
Let i(x) be the second derivative of -x**4/20 + 21*x**3/10 + 108*x**2/5 - 747*x. Factor i(u).
-3*(u - 24)*(u + 3)/5
Suppose -17*c = -12*c - 10. Factor -20*m + 8*m + 7*m**2 - m**2 + 8 - c*m**2.
4*(m - 2)*(m - 1)
Let n = 125 + -123. Find l, given that -4*l**2 + 40*l - 862 - l**n + 907 = 0.
-1, 9
Suppose -4*v + 2/5*v**2 - 80 = 0. Calculate v.
-10, 20
Let g = -127144/3 + 42880. Let n = 499 - g. Factor 0 + s**3 + s**2 + 1/3*s**4 + n*s.
s*(s + 1)**3/3
Determine f so that 2/15*f**2 + 655360/3 - 1024/3*f = 0.
1280
Let l(f) be the first derivative of -f**4/28 + 304*f**3/7 - 911*f**2/14 + 3440. Factor l(i).
-i*(i - 911)*(i - 1)/7
Let a = 289 + -293. Let h(l) = 2*l**3 + 70*l**2 - 138*l + 78. Let v(s) = s**2 + 2*s + 3. Let q(u) = a*v(u) + 2*h(u). Factor q(g).
4*(g - 1)**2*(g + 36)
Factor -40*k**2 - 61*k**2 + 2 - 2 + 97*k**2 - 960*k.
-4*k*(k + 240)
Let u(w) = 3*w**2 + 53*w - 138. Let s(h) = -4*h**2 - 54*h + 126. Let y(o) = -2*s(o) - 3*u(o). Factor y(b).
-(b - 3)*(b + 54)
Let g = 9662 + -9644. Let b(i) be the second derivative of 0 + 0*i**2 + g*i + 5/12*i**4 + 5/6*i**3. Find c, given that b(c) = 0.
-1, 0
Let g(d) be the first derivative of -2*d**3/15 - 574*d**2/5 - 164738*d/5 - 1319. Factor g(p).
-2*(p + 287)**2/5
Suppose -105 = -16*k + 295. Let 0*l**3 - 5*l**3 - k*l - 23*l**2 + 70 - 17*l**2 = 0. What is l?
-7, -2, 1
Suppose -3*j + 4 = 4*o, 27*j - 30*j = -4*o + 4. Let u(a) be the second derivative of -a - 4/7*a**2 - 1/21*a**4 - 2/7*a**3 + o. Solve u(r) = 0 for r.
-2, -1
Let o = 25 - -65. Factor 92*l + l**2 - 177*l + o*l.
l*(l + 5)
Suppose 8766*m**3 + 8773*m**3 - 400 - 17543*m**3 - 320*m - 68*m**2 = 0. What is m?
-10, -5, -2
Let u = 104 + -30. Suppose 3*x - 64 - u = 0. Determine v, given that 72*v**2 - 6*v**5 + x*v**3 - 10*v**3 - 4*v**4 + 0*v**5 + 12 + 50*v = 0.
-1, -2/3, 3
Let s(v) be the second derivative of 0 - 4/45*v**5 + 0*v**4 + 0*v**3 + 0*v**2 + 5/189*v**7 + 117*v + 1/45*v**6. Determine m so that s(m) = 0.
-8/5, 0, 1
Let k(y) = -74*y**4 - 2*y**2 - 4*y - 2. Let i(l) = l**5 - 223*l**4 - 7*l**2 - 14*l - 7. Let v(m) = -2*i(m) + 7*k(m). Let v(s) = 0. What is s?
-36, 0
Let p(h) be the first derivative of -h**3 - 9*h**2/2 + 15*h - 3. Let j(f) = -102 + 2*f**2 + 7*f + 183 + f + f**2 - 96. Let a(d) = 3*j(d) + 4*p(d). Factor a(q).
-3*(q - 1)*(q + 5)
Let f(h) be the first derivative of -2/3*h**3 - 104 + 28*h - 13*h**2. Let f(j) = 0. Calculate j.
-14, 1
Let i = 231442/5 + -694301/15. Factor -1/3*g**2 - i*g + 0.
-g*(g + 5)/3
Suppose 4*l = m - 3, 1 = 3*m + 3*l - 8. Suppose 4*i**4 - 52*i**2 - 21 - 130*i + 230*i - 27 - 4*i**m = 0. What is i?
-4, 1, 3
Let g(t) = 4*t - 13. Suppose -4*b = 5*a - 0*a + 9, 1 = 4*b + 3*a. Let x be g(b). Factor 69 + 24*y - 6*y + x*y**2 - 45.
3*(y + 2)*(y + 4)
Let 32*y + 33*y**4 + 28*y - 7*y**2 + y**4 + 267*y**2 + 355*y**3 + 156*y**4 + 35*y**5 = 0. Calculate y.
-2, -1, -3/7, 0
Let z(m) = -15*m**2 + 14*m**2 - 4 + 0*m + 3*m. Let n(v) = v**2 - 4*v + 3. Let y(b) = -4*n(b) - 3*z(b). Determine d, given that y(d) = 0.
0, 7
Let d(l) = -3*l**3 - 69*l**2 - 222*l - 12. Let h(b) = -3*b**3 - 70*b**2 - 218*b - 10. Let n(q) = 5*d(q) - 6*h(q). Factor n(y).
3*y*(y + 3)*(y + 22)
Suppose 58*f = 109*f - 61*f. Factor -2/5*d**3 - 22/5*d**2 + f*d + 0.
-2*d**2*(d + 11)/5
Suppose 2*j = -36 + 42. Suppose 4*b - 97 = 31. Let -29*p - 16*p**2 - 20*p**4 + b*p**j + 4*p**5 + 29*p = 0. What is p?
0, 1, 2
Suppose -25*z - 22 + 94 = -3. Let p(u) be the third derivative of -17*u**2 + 1/735*u**7 + 1/105*u**6 + 0 + 1/42*u**5 + 0*u + 0*u**z + 1/42*u**4. Factor p(q).
2*q*(q + 1)**2*(q + 2)/7
Suppose 5*c - 50 = 0, 46*c - 42 = -u + 42*c. Suppose 12 + 248/3*g - 49/3*g**3 + 413/3*g**u = 0. Calculate g.
-2/7, 9
Let v(q) = -q**4 - 3*q**3 - 4*q**2 + 6*q + 2. Let s(p) = -5*p**4 - 14*p**3 - 16*p**2 + 29*p + 9. Let g(b) = 2*s(b) - 9*v(b). Factor g(a).
-a*(a - 2)*(a + 1)*(a + 2)
Suppose -t - 56 = -5*t. Suppose -t*d - 2 = -30. Factor -l**4 + l**2 + 5*l**d - 2*l**4 - 3.
-3*(l - 1)**2*(l + 1)**2
Suppose 0 = -38*y + 158*y. Let y + 11/2*k**2 - k = 0. What is k?
0, 2/11
What is s in -5*s**3 + 14*s**2 - 12*s**3 + 18*s**3 - 56 + s**3 - 8*s = 0?
-7, -2, 2
Let c(s) be the third derivative of s**8/28 - 4*s**7/15 + 2*s**6/3 - 8*s**5/15 + 586*s**2. Factor c(v).
4*v**2*(v - 2)**2*(3*v - 2)
Let v be ((-20)/1)/(-4) - (30 - 24). Let t be ((-35)/(-315))/((1/(-15))/v). Suppose -t*k**2 + 5*k - 10/3 = 0. Calculate k.
1, 2
Suppose -4*l - 3*r = -23, 10 = 36*r - 34*r. Let j(m) be the second derivative of -1/7*m**4 + 8/7*m**l + 11*m + 1/35*m**5 + 0 + 0*m**3. Solve j(a) = 0.
-1, 2
Let x(j) be the third derivative of j**8/504 - 4*j**7/315 + 7*j**5/45 - 17*j**4/36 + 2*j**3/3 - 246*j**2 - j. Determine u, given that x(u) = 0.
-2, 1, 3
Let g(s) = s**3 - s**2 + s + 4. Let q be g(0). Suppose 4*i = -6*j + 5*j + q, 2*i - 5*j = 24. Factor 4*y**4 + 4*y**3 + 4*y**i - 3 - 4*y - 16*y**2 + 3 + 8.
4*(y - 1)**2*(y + 1)*(y + 2)
Suppose 741 + 540 = 134*t + 75. Suppose -3/2*i**3 + t*i + 0 - 15/2*i**2 = 0. What is i?
-6, 0, 1
Suppose -5*m = 3*c - 21, m - 9 + 8 = c. Suppose -300*w - 1440*w**2 - 912*w - 164*w - 60*w**4 - m*w**5 - 352*w - 444*w**3 = 0. Calculate w.
-6, -4, 0
Find z, given that 80*z**2 + 718 - 5*z**3 - 21 + 143 + 925*z = 0.
-7, -1, 24
Let w be (5 + -1 - 9) + 9. Determine j so that 15*j**3 - 6*j**3 - 15*j**2 + 6*j**3 + 5*j**w - 88*j + 33*j - 30 = 0.
-3, -1, 2
Let i(w) be the third derivative of w**6/960 - w**4/16 - w**3/3 - 973*w**2. Let i(z) = 0. What is z?
-2, 4
Suppose 0 = -3*x + 12, -8*x + 3*x = 5*z - 70. Let k(p) be the first derivati