, 0, 1/4
Let q(m) be the third derivative of 0*m**3 - 3*m + 1/24*m**5 + 0 + 1/24*m**4 - 1/84*m**7 + 1/96*m**8 - 35*m**2 - 3/80*m**6. Find r such that q(r) = 0.
-1, -2/7, 0, 1
Let b be 13/3 + 8/12. Suppose -5*k - 4*c = -8, c = b*k - 4 + 6. Solve 0 - 9/8*q**2 + 15/8*q**3 - 3/8*q**5 + k*q - 3/8*q**4 = 0.
-3, 0, 1
Let w(x) = 4*x. Let j be w(1). Suppose -j*c = -5*q - 0*q + 13, -5*c + 2*q + 5 = 0. Factor -10*l**5 - 9*l**4 + 58*l + 2*l**2 - 21*l**4 - 54*l - 18*l**c + 4*l**4.
-2*l*(l + 1)**3*(5*l - 2)
Let s(j) be the first derivative of 2*j**5/35 + 2*j**4 + 442*j**3/21 + 338*j**2/7 - 583. Factor s(x).
2*x*(x + 2)*(x + 13)**2/7
Let n = 244126 - 243838. Factor -1/2*z**2 + 24*z - n.
-(z - 24)**2/2
Let n(j) = 24*j**2 - 20*j - 45. Let s(l) = l**3 + l**2 + l + 1. Let i(u) = -n(u) + s(u). Let v be i(22). Factor -6*w**2 - 21*w + 2*w**2 - w + v + 2*w.
-4*(w - 1)*(w + 6)
Let w(l) be the first derivative of -3*l**4/4 - 80*l**3 - 231*l**2/2 + 474*l + 2732. Factor w(z).
-3*(z - 1)*(z + 2)*(z + 79)
Let w(u) = -2*u**3 - u**2 + 3. Let m be w(-2). Suppose m*n - 30*n + 15*n + 5*n**2 = 0. What is n?
0
Solve 188*d**2 - 52/3*d - 4/3*d**4 - 560/3 + 52/3*d**3 = 0 for d.
-7, -1, 1, 20
Find j such that 0 + 0*j**3 - 4/7*j**2 - 2/7*j**5 + 2/7*j + 4/7*j**4 = 0.
-1, 0, 1
Let m(d) be the first derivative of -4/5*d**5 + 20/3*d**3 + 0*d - 18 + 2/3*d**6 - 4*d**2 - 3*d**4. Determine t so that m(t) = 0.
-2, 0, 1
What is w in 9*w**2 - 420224 + 6144*w - 13*w**2 - 1939072 = 0?
768
Suppose 16*x + 22 - 126 = -40. Let j(h) be the first derivative of 0*h + 1/2*h**6 - 3*h**2 + 25 + 3*h**3 + 3/4*h**x - 9/5*h**5. Factor j(o).
3*o*(o - 2)*(o - 1)**2*(o + 1)
Let k = -418792/5 + 83760. Factor 0 + k*c**2 + 8/5*c + 2/5*c**3.
2*c*(c + 2)**2/5
Suppose 0 = -0*y - 2*y + k - 24, y - 2*k + 18 = 0. Let d be (16/y)/(4/(-10)). Factor 0*z**d + z**2 - 46*z**3 + 38*z**3 + 2*z + 5*z**4.
z*(z - 1)**2*(5*z + 2)
Let p be 3239/6 + 117/54 + -2. Suppose 5*x**4 + 90*x**3 - 417*x + 1142*x + p*x**2 + 355*x = 0. What is x?
-6, 0
Suppose 35*x - 36*x + 35 = 0. Suppose 0 = -32*z - x + 99. Factor -7/3*p + 4 + 1/3*p**z.
(p - 4)*(p - 3)/3
Factor -4*q**5 + 1042*q**2 + 145*q**4 + 313*q**2 - q**5 - 375*q**2 - 1120*q**3.
-5*q**2*(q - 14)**2*(q - 1)
Suppose -9*v + 21*v + 144 = 0. Let k(s) = 3*s**2 + 32*s - 46. Let a be k(v). Factor -33/5*h**a + 24*h**3 + 0 - 6/5*h.
3*h*(5*h - 2)*(8*h + 1)/5
Let k(r) = 27*r**2 - 55*r + 28. Let t(c) = -54*c**2 + 109*c - 55. Let g = -258 - -253. Let n(a) = g*k(a) - 2*t(a). Factor n(h).
-3*(h - 1)*(9*h - 10)
Determine z, given that -25*z**2 + 52*z**2 + 872*z + 30399 + 5857 + 11268 - 23*z**2 = 0.
-109
Let q(d) = -3211*d - 38529. Let y be q(-12). Suppose -35/6*m**y + 5 + 25*m**2 - 145/6*m = 0. What is m?
2/7, 1, 3
Let d(w) = 2*w - 1. Suppose 0 = -6*u - 57 - 3. Let y(f) = f**2 - 13*f + 2. Let m(a) = u*d(a) - 5*y(a). What is r in m(r) = 0?
0, 9
Suppose -64*x + 227 - 67 = -32. Let -1/2*u**x - u**2 + 3 + 5/2*u = 0. Calculate u.
-3, -1, 2
Let k = -15246 - -45748/3. Factor 2/3*y**4 - 4*y - k*y**2 + 0 + 4/3*y**3.
2*y*(y - 2)*(y + 1)*(y + 3)/3
Let w(v) be the third derivative of v**6/960 + 83*v**5/160 - 167*v**4/64 + 251*v**3/48 + 3*v**2 + 7*v - 13. Find f such that w(f) = 0.
-251, 1
Let c = 216935 - 1952405/9. Determine r so that -2/3*r**3 + 2/3*r + 2/9*r**4 - c*r**2 + 8/9 = 0.
-1, 1, 4
Let c be 23 + (-3)/(-3 + 4). Suppose -4 = -n + c. Factor 34 - 15*g - 28 - n + 3*g**2.
3*(g - 6)*(g + 1)
Let 36*h**3 + 89*h - 1948480*h**2 + 1949636*h**2 + 39*h = 0. Calculate h.
-32, -1/9, 0
Let k be 957/45 - (4 - 405/75). Factor 12*q**2 - k*q - 8/3.
4*(q - 2)*(9*q + 1)/3
Let b = -108/18365 - -183974/55095. Factor -32/9*v + 2/9*v**2 + b.
2*(v - 15)*(v - 1)/9
Let i(j) be the first derivative of -2*j**3/45 + 43*j**2/15 + 376*j/15 + 1316. Factor i(u).
-2*(u - 47)*(u + 4)/15
Let w(j) = -4*j**2 + 1192*j + 90000. Let v(t) = t**2 + t. Let z(o) = 8*v(o) + w(o). Determine s so that z(s) = 0.
-150
Let q = 13837/10 - 13831/10. Factor 0 - q*c**3 + 6*c + 27/5*c**2.
-3*c*(c - 10)*(c + 1)/5
Let p(g) be the third derivative of g**5/30 + 17*g**4/2 + 752*g**3/3 + 1039*g**2 - 2*g - 2. Factor p(r).
2*(r + 8)*(r + 94)
Let d be (-110)/(-24) + (2783/(-276) - -10). Solve 15*a**2 + 9/2 - d*a**3 + 3/4*a**5 - 3/2*a**4 - 57/4*a = 0 for a.
-3, 1, 2
Let r be 154/420 + 16/100*10/12. Find u, given that -r*u**2 + 7*u + 0 = 0.
0, 14
Suppose 5 = 8*n - 11. What is p in 45*p + 5 + 5*p**n + 116 - 21 = 0?
-5, -4
Let n(i) = 869*i - 11. Let s be n(1). Factor 96*o**3 + 1777*o - 15*o - 322*o - 3*o**4 - s*o**2 - 675.
-3*(o - 15)**2*(o - 1)**2
Suppose 5*b - 10 = -0. Suppose 3*x - 21 = -5*y - 2, -3*y + 2*x = 0. Factor 7*h**2 - 3*h**b - 7*h**y - h**2 + 16*h.
-4*h*(h - 4)
Let h = 471 - 475. Let o be h/(-1 - -3) + (-150)/(-25). Factor -3/4*s + 0*s**3 + 9/8*s**2 - 3/8*s**o + 0.
-3*s*(s - 1)**2*(s + 2)/8
Let i(q) be the third derivative of 0*q + 83/42*q**4 - 6889/21*q**3 - 62*q**2 + 0 - 1/210*q**5. Factor i(c).
-2*(c - 83)**2/7
Factor 1225043/3 + 1156670/3*m**2 + 2415739/3*m - 1/3*m**5 - 33706/3*m**3 + 319/3*m**4.
-(m - 107)**3*(m + 1)**2/3
Let o = -50316 - -138318682/2749. Let v = 49468/19243 - o. Factor v - 12/7*d**2 + 3/7*d + 3/7*d**3.
3*(d - 3)*(d - 2)*(d + 1)/7
Let t = -5977 + 5977. Let u(x) be the third derivative of 1/35*x**7 + t - 28*x**2 - 1/40*x**6 + 0*x**3 + 0*x**5 + 0*x - 1/112*x**8 + 0*x**4. Factor u(l).
-3*l**3*(l - 1)**2
Find k, given that 0 + 124/5*k + 2/15*k**2 = 0.
-186, 0
Let b be 1/(-2) + 15/6 + 0. Factor -5*c**4 + b*c**2 - 5*c**3 + 4*c + 3*c + 13*c + 18*c**2.
-5*c*(c - 2)*(c + 1)*(c + 2)
Let l be ((-3)/18)/(16/(-96)). Let n be (l + (-3)/4)*24/12. Factor -n*d - 1/2*d**3 - d**2 + 0.
-d*(d + 1)**2/2
Let h(c) be the second derivative of -1/36*c**4 + 3*c - c**2 - 7/18*c**3 + 7. Factor h(z).
-(z + 1)*(z + 6)/3
Let r(l) be the second derivative of l**4/4 - 17*l**3 - 333*l**2/2 - 73*l - 4. What is k in r(k) = 0?
-3, 37
Let r be -5 + 12 + (105/(-108) - 6). Let j(h) be the third derivative of r*h**4 - 1/18*h**3 + 0 - 1/180*h**5 + 0*h + 16*h**2. Factor j(v).
-(v - 1)**2/3
Let g be (2/4 + (-2)/4)/((-1132)/(-566)). Suppose 4/13*s**3 + 0*s + g + 0*s**2 - 6/13*s**4 = 0. What is s?
0, 2/3
Let a(l) be the first derivative of 2/15*l**5 + 1/45*l**6 + 13 + 0*l + 4/9*l**3 - 5/2*l**2 - 5/12*l**4. Let f(h) be the second derivative of a(h). Factor f(m).
2*(m + 4)*(2*m - 1)**2/3
Let l(z) be the second derivative of -z**6/15 - 17*z**5/5 + 71*z**4/6 - 12*z**3 - 370*z. Determine w so that l(w) = 0.
-36, 0, 1
Let c(y) be the third derivative of y**5/180 - 187*y**4/36 + 373*y**3/18 - 809*y**2. Suppose c(f) = 0. What is f?
1, 373
Let k(x) be the third derivative of x**7/3780 + 13*x**6/1620 + 71*x**3/6 - 6*x**2 - 5*x. Let r(m) be the first derivative of k(m). Factor r(f).
2*f**2*(f + 13)/9
Suppose -928/5 - 926/5*a + 2/5*a**2 = 0. What is a?
-1, 464
Let c(j) be the second derivative of -5*j**7/14 + 31*j**6/3 - 61*j**5 + 410*j**4/3 - 320*j**3/3 + 52*j. Find v such that c(v) = 0.
0, 2/3, 2, 16
Let j(r) = -16*r**3 - 66*r**2 + 150*r - 118. Let h(o) = 5*o**3 + 21*o**2 - 50*o + 39. Let g(q) = -10*h(q) - 3*j(q). Factor g(z).
-2*(z - 2)*(z - 1)*(z + 9)
Let m(r) = 21*r**3 + 5*r**2 + 13*r - 13. Let t = -80 - -86. Let j(g) = -10*g**3 - 2*g**2 - 6*g + 6. Let d(u) = t*m(u) + 13*j(u). Find i, given that d(i) = 0.
0, 1
Let a(n) = 2*n**3 + 2*n**2 - 2*n. Let b(x) = 12*x**3 - 133*x**2 - 302*x - 149. Let s(t) = -4*a(t) + b(t). Solve s(v) = 0.
-1, 149/4
Let a = 483262 + -480126. Factor -224/3*n**3 + 1229312/3 + a*n**2 + 2/3*n**4 - 175616/3*n.
2*(n - 28)**4/3
Let b(k) be the third derivative of 5*k**8/21 + 76*k**7/21 + 529*k**6/24 + 835*k**5/12 + 3055*k**4/24 + 845*k**3/6 - 2*k**2 + 292. Factor b(o).
5*(o + 1)**3*(4*o + 13)**2
Let r(k) = -11*k**2 + 26*k - 14. Let n(u) = -9*u**2 + 22*u - 13. Let l(j) = 10*n(j) - 8*r(j). Factor l(o).
-2*(o - 3)**2
Suppose -110 = -4*x - 102, 0*u - 2*u + x = -6. Suppose -1/3*i**3 + 11/9*i + 2/3 - 1/9*i**u + 1/3*i**2 = 0. Calculate i.
-3, -1, 2
Let r(x) = -x**2 - 37*x + 59. Let d(b) = -88 + 56*b + 179*b**2 - 355*b**2 + 178*b**2. Let g(j) = 5*d(j) + 8*r(j). Factor g(i).
2*(i - 4)**2
Let k be (17/(-272) + (-365)/(-80))*(-12)/(-27). Factor 6/5*v**3 - 16*v**k + 238/5*v + 196/5.
2*(v - 7)**2*(3*v + 2)/5
Let v(k) be the first derivative of 8/3*k**3 - 7/2*k**2 + 22 - 1/4*k**4 + 0*k. Fac