 6/5*m + b*m**2 + x = 0. What is m?
-2, -1
Let w be ((-2)/(-6)*-1)/((-56)/1680). Let q(b) be the second derivative of 5/12*b**4 + 0 + 0*b**3 - 24*b - w*b**2. Let q(d) = 0. What is d?
-2, 2
Let t(u) be the second derivative of -u**5 - 55*u**4/12 - 5*u**3 - u + 153. Factor t(n).
-5*n*(n + 2)*(4*n + 3)
Let k(z) be the third derivative of -z**5/390 - 53*z**4/26 + 1615*z**3/39 + 2612*z**2. Factor k(s).
-2*(s - 5)*(s + 323)/13
Let d be ((-16)/4)/(4 + -5 - 1). Let -478*y + 427*y**2 + 2*y - 582*y**d - 392 + 8*y**4 + 707*y**2 - 124*y**3 = 0. Calculate y.
-1/2, 2, 7
Let o = -27 - -24. Let q = 3 + -4. Let d(n) = -n**3. Let u(v) = 24*v**3 - 57*v**2 + 24*v + 12. Let g(p) = o*d(p) + q*u(p). Factor g(l).
-3*(l - 2)*(l - 1)*(7*l + 2)
Let z(b) = b**2 - 1. Suppose -3*h + 2*w - 4*w + 19 = 0, 5*h - 5 = 2*w. Suppose -h + 4 = n. Let v(g) = 7*g**2 - g - 8. Let x(c) = n*v(c) - 6*z(c). Factor x(l).
(l - 2)*(l + 1)
Suppose -27 = -22*a + 61. Factor -17*t**3 + 4*t**a - 23*t**2 - 175*t - 70*t**2 - 98 - 9*t**4 + 4*t**4.
-(t + 1)*(t + 2)*(t + 7)**2
Factor -1/3 - 32*i**2 + 28/3*i.
-(4*i - 1)*(24*i - 1)/3
Let p(n) = n**2 - 31*n - 63. Let j be p(33). Let u be 10/(-18)*(-24)/40. Factor -u*s**j + 1/3*s + 2/3 - 2/3*s**2.
-(s - 1)*(s + 1)*(s + 2)/3
Let g(o) be the second derivative of -101*o - 1/10*o**3 - 6/5*o**2 + 3/100*o**5 + 1/5*o**4 + 0. Determine z so that g(z) = 0.
-4, -1, 1
Let w be (141/36 + -4)/(2 - 204/96). Let 64/3 - 112/3*f - w*f**3 - 31/3*f**2 = 0. Calculate f.
-8, 1/2
Suppose 18*j**3 - 57*j + 9/2*j**2 + 36 - 3/2*j**4 = 0. What is j?
-2, 1, 12
Let k(d) be the first derivative of -d**4/72 + 5*d**3/36 - d**2/2 - 22*d + 63. Let m(s) be the first derivative of k(s). Factor m(l).
-(l - 3)*(l - 2)/6
Let 0 - 1/8*n**3 - 791/8*n - 99*n**2 = 0. Calculate n.
-791, -1, 0
Suppose -v + 10 = 2*p, -4*v + 17 = -7. Let k(h) be the first derivative of 8/13*h**p - 2/39*h**3 - 32/13*h + 25. Factor k(d).
-2*(d - 4)**2/13
Suppose 5*z + 4*o = 73, 4*o - 5*o = -4*z + 71. Factor -6*x**4 + z*x**3 - x**2 + 21*x**3 - 14*x - 7*x**2 - 10*x.
-2*x*(x - 6)*(x - 1)*(3*x + 2)
Let p = 136700 + -683498/5. Factor -2/5*b**4 - p*b**3 + 0 + 4/5*b**2 + 0*b.
-2*b**2*(b - 1)*(b + 2)/5
Let w(o) be the second derivative of 169*o**5/100 - 91*o**4/3 + 265*o**3/6 - 25*o**2 + 1080*o. Factor w(j).
(j - 10)*(13*j - 5)**2/5
Let u(i) = i**3 - 23*i - 8. Let k be u(5). Factor -262*b - 7 + 274*b - 4*b**k + 79.
-4*(b - 6)*(b + 3)
Let l = 31 - 18. Let g be (-10 + (6 - -5))/(1/3). Suppose -u**g - l*u + 3*u + 10*u - 4*u**4 = 0. What is u?
-1/4, 0
Let r(k) be the second derivative of -k + 1/21*k**3 + 2/7*k**2 + 41 - 1/42*k**4. Factor r(z).
-2*(z - 2)*(z + 1)/7
Suppose 162*u - 155*u - 63 = 0. Factor -215*j**2 - u - 14 + j + 23 - 6*j.
-5*j*(43*j + 1)
Let r(i) = 3*i**5 + 12*i**4 + 3*i**3 - 2. Suppose -24 = -5*d - 14. Let h(q) = -35*q**5 - 145*q**4 - 35*q**3 + 25. Let n(m) = d*h(m) + 25*r(m). Factor n(t).
5*t**3*(t + 1)**2
Suppose 2*b - 546 = 4*n - 3*b, -3*n = -4*b + 410. Let u = 246 + n. Factor 265 + 390 + 129 + u*g + 4*g**2.
4*(g + 14)**2
Let c be 110/5 - (-40 - -27). Let h(f) be the first derivative of -24*f - 14*f**2 - c - 4/3*f**3. Factor h(l).
-4*(l + 1)*(l + 6)
Let h(o) be the third derivative of -o**5/15 + 5*o**4/6 - 8*o**3/3 - 1521*o**2. Suppose h(b) = 0. What is b?
1, 4
Let w be ((-1)/(-1) - -137)*7252/38073. Determine h, given that 4232/7 + 2/7*h**2 + w*h = 0.
-46
Factor 7*i**4 + 255792*i + 871525*i**2 + 3*i**4 - 7005*i**3 - 3*i**4 + 5*i**4 + 149891*i**2.
3*i*(i - 292)**2*(4*i + 1)
Let s(t) = t**3 - 13*t**2 - 15*t + 23. Let a be s(14). Suppose 5*r - 19 = -a. What is g in -2*g - r*g**3 + 23*g + 18 - g**3 = 0?
-2, -1, 3
Let o(h) be the first derivative of -3*h**4/16 + 41*h**3/4 - 453*h**2/4 + 336*h - 9452. Factor o(b).
-3*(b - 32)*(b - 7)*(b - 2)/4
Let n(y) = 27*y**2 - 125*y + 44. Let c = -1947 - -1944. Let h = 11 - 3. Let w(f) = 9*f**2 - 42*f + 15. Let q(b) = c*n(b) + h*w(b). Factor q(g).
-3*(g - 4)*(3*g - 1)
Let n be (-10 - -1) + 0/(-72) - 56/(-6). Let 0 + 1/2*k - 1/6*k**5 + 2/3*k**2 - n*k**3 - 2/3*k**4 = 0. Calculate k.
-3, -1, 0, 1
Suppose -155*q + 125*q + 90 = 0. Let t(i) be the first derivative of 32/5*i**5 + 2/3*i**6 + 32*i - 11 + 25*i**4 + 152/3*i**q + 56*i**2. Factor t(m).
4*(m + 1)**2*(m + 2)**3
Factor 730371 + 128*z**2 + 20*z**4 + z**5 + 45*z - 730371 - 20*z**2 + 82*z**3.
z*(z + 1)**2*(z + 3)*(z + 15)
Let v(k) be the third derivative of -k**8/840 - 2*k**7/105 - 2*k**6/75 + k**5/15 + 3*k**4/20 - 3*k**2 - 159. Suppose v(j) = 0. What is j?
-9, -1, 0, 1
Let i(y) = y**4 + 13*y**3 - y**2 - y + 1. Let a(u) = -6*u**4 - 30*u**3 + 446*u**2 + 1318*u - 4314. Let k(q) = a(q) + 2*i(q). Suppose k(w) = 0. Calculate w.
-7, 2, 11
Suppose 259482 - 259482 = 10*i. Suppose 2/3*k**2 + i + 2/3*k**3 - 4/3*k = 0. What is k?
-2, 0, 1
Find r such that -5594*r**2 + 152*r**4 + 2698*r**2 + 2744*r**2 - 4*r**5 + 4*r**3 = 0.
-1, 0, 1, 38
Suppose 18 = 2*b - 2*s, -5*b + s = -7*b + 3. Suppose -5*c = 4*l - 2*l - 17, 0 = 5*c - l - 29. Factor b*y**2 - c + 471*y + 4*y**3 + 1 - 475*y.
4*(y - 1)*(y + 1)**2
Let t(a) = -8*a**4 - 103*a**3 - 90*a**2 + 103*a + 92. Let k(j) = -17*j**4 - 207*j**3 - 180*j**2 + 207*j + 183. Let r(h) = -3*k(h) + 7*t(h). Factor r(x).
-5*(x - 1)*(x + 1)**2*(x + 19)
Let s be 4770/450765*81/2. Determine j, given that -66/7 - 60/7*j**2 - 129/7*j + s*j**3 = 0.
-1, 22
Let y = -4910 - -44194/9. Let o(s) be the second derivative of 4*s**2 + 1/54*s**4 - y*s**3 + 0 + 7*s. Suppose o(u) = 0. What is u?
6
Let v(i) be the first derivative of -i**7/105 - 2*i**6/75 + i**4/15 + i**3/15 - 49*i - 30. Let u(a) be the first derivative of v(a). Let u(r) = 0. What is r?
-1, 0, 1
Let u(d) = -d**3 - d**2 - d + 1. Let t(a) be the first derivative of 7*a**4/4 - a**3 - a**2/2 - 9*a + 3. Let l(m) = -2*t(m) - 18*u(m). Let l(j) = 0. What is j?
-5, -1, 0
Let l(q) = -41*q**2 - 460*q + 426. Let w(b) = -11*b**2 - 115*b + 106. Let x(v) = -4*l(v) + 15*w(v). Factor x(i).
-(i - 114)*(i - 1)
Let z be (2 + 52/(-21))*60/(-50). Factor -4/7 + 0*r + z*r**2.
4*(r - 1)*(r + 1)/7
Let z(w) be the second derivative of -1/420*w**7 + 3 + 4/75*w**6 + 91/60*w**4 - 15*w - 81/200*w**5 - 47/15*w**3 + 18/5*w**2. Factor z(g).
-(g - 9)*(g - 2)**3*(g - 1)/10
Let c be 4575/(-610)*(-16)/30. Factor -64/5*z**3 - 4096/5*z + 768/5*z**2 + 8192/5 + 2/5*z**c.
2*(z - 8)**4/5
Let x be (-1)/2 - (-20 + 53)*2/(-12). Let p(s) be the first derivative of 9 + 25/6*s**3 + 0*s + 1/10*s**x + 5/4*s**4 + 0*s**2. Factor p(c).
c**2*(c + 5)**2/2
Suppose 0 = -15*m - 5*m + 20. Let z be m + (-54)/(-36)*(-8)/18. Factor -z*a**4 - 2/3 - 1/3*a + a**2 + 1/3*a**3.
-(a - 2)*(a - 1)*(a + 1)**2/3
Suppose -q + 16 = 2*m, -4*q + 1233 - 1190 = m. Suppose -46*c + 36/5 + 22/5*c**m + 172/5*c**2 = 0. What is c?
-9, 2/11, 1
Solve -4569/5*w**2 + 122/5*w**3 - 1/5*w**4 + 51728/5*w - 179776/5 = 0.
8, 53
Let f(t) be the first derivative of -5/6*t - 2/9*t**3 + 7/4*t**2 - 10. Factor f(o).
-(o - 5)*(4*o - 1)/6
Factor 0 + 15/7*w - 16/7*w**2 + 1/7*w**3.
w*(w - 15)*(w - 1)/7
Let i = 5125484/9 - 569492. Factor 104/9*y**2 + 4/9*y**4 + 20/9 + 4/9*y**5 - i*y**3 - 76/9*y.
4*(y - 1)**4*(y + 5)/9
Let r(d) be the third derivative of 64*d**7/1575 - 668*d**6/75 - 1006*d**5/75 - 1511*d**4/180 - 14*d**3/5 - 143*d**2 + 5. Factor r(t).
2*(t - 126)*(4*t + 1)**3/15
Suppose 2 = -2*j, 4*j = 2*m - 0*m + 42. Let x = m + 27. Factor -6*b**3 - b**2 - b**x + 14*b**2 + 4 + 2*b**4 + 2*b - 14*b.
(b - 2)**2*(b - 1)**2
Let i(v) be the second derivative of v**4/42 + 52*v**3/21 + 100*v**2/7 + 1963*v. What is x in i(x) = 0?
-50, -2
Factor 8/11*q - 280/11 + 2/11*q**2.
2*(q - 10)*(q + 14)/11
Let u(w) be the second derivative of 37/8*w**3 - 1/8*w**4 - 4 - 27/4*w**2 + 15*w. Solve u(f) = 0 for f.
1/2, 18
Suppose -4170*v - 248*v + 1323 = -7513. Determine l so that -4805/4 - 5/4*l**v + 155/2*l = 0.
31
Let l(q) = -435*q - 868. Let u be l(-2). Let p(a) be the first derivative of -a - 5/16*a**4 - 1/4*a**3 + 34 + 3/2*a**u. Factor p(g).
-(g - 1)*(g + 2)*(5*g - 2)/4
Find s such that 173614 - 798088 - s**2 - 4590*s - 1131201 - 2*s**2 = 0.
-765
What is n in 50*n**5 - 64*n**2 - 58*n**5 - 3*n - 19*n + 52*n**3 - 22*n + 76*n**4 + 40 - 52*n**2 = 0?
-1, 1/2, 1, 10
Let u be (99/33)/(21/(-40))*42/(-105). Let 2*i**2 - 40/7 - u*i + 6/7*i**3 = 0. What is i?
-2, 5/3
Let c(m) = 13*m**3 + 23*m**2 - 49*m +