 x?
-2/3, -1/37
Let f be (-13)/377*0*-1. Factor f - 2/9*t**3 + 0*t + 8/3*t**2.
-2*t**2*(t - 12)/9
Let r(f) = 3*f**3 - f - 2. Let o(z) = -14*z**3 - 13*z**2 + 45*z + 10. Let k(y) = 3*o(y) + 15*r(y). Suppose k(t) = 0. What is t?
0, 5, 8
Let v(u) be the second derivative of 5*u**7/189 + 43*u**6/135 - 169*u**5/90 + 73*u**4/54 + 164*u**3/27 - 116*u**2/9 - 4*u + 209. Let v(q) = 0. Calculate q.
-58/5, -1, 1, 2
Let x(s) be the third derivative of s**8/2016 + s**7/420 - s**6/80 - 3*s**5/40 + 30*s**2 + 8*s. Factor x(b).
b**2*(b - 3)*(b + 3)**2/6
Let j(d) be the first derivative of -1/9*d**3 - 30 + 0*d**4 - 22*d**2 + 0*d + 1/360*d**5. Let g(m) be the second derivative of j(m). Factor g(n).
(n - 2)*(n + 2)/6
Let c = -213 + 213. Let u be ((-5)/30)/(4 - (-49)/(-12)). Suppose c + 2/3*h + 2/3*h**3 - 4/3*h**u = 0. What is h?
0, 1
Let o(f) = -f**3 - 2*f**2 - 3. Let i(x) = 6*x**3 + 37*x**2 + 37*x - 14. Let v(r) = -i(r) - 4*o(r). Factor v(g).
-(g + 2)*(g + 13)*(2*g - 1)
Factor 3/2*d**2 - 129/2*d + 285.
3*(d - 38)*(d - 5)/2
Suppose -2*g + 2 = 0, 2*d + 4*g + 8 = 20. Factor -6*o**2 - 24 + 12*o**3 - 8*o**4 - o**4 + 17*o**d - 40*o - 6*o**4.
2*(o - 2)*(o + 1)**2*(o + 6)
Let j = 23899 - 23899. Let p(n) be the first derivative of 1/4*n**6 - 18 + j*n + 0*n**2 + 1/6*n**3 - 3/8*n**4 - 1/10*n**5. Determine s, given that p(s) = 0.
-1, 0, 1/3, 1
Determine x so that 22/13*x**2 - 18/13*x**3 + 42/13 + 82/13*x = 0.
-1, -7/9, 3
Let n(q) be the third derivative of q**5/240 + 443*q**4/24 + 196249*q**3/6 - q**2 + q - 70. Factor n(x).
(x + 886)**2/4
Determine a so that 19*a + 34*a**2 + a**4 + 8*a**4 - 28*a**3 - 12*a**4 + 41*a + a**4 = 0.
-15, -1, 0, 2
Let x(m) be the second derivative of -m**4/2 - 110*m**3/3 - 107*m**2 + 6697*m. Determine j so that x(j) = 0.
-107/3, -1
Determine h so that -12/7*h**4 + 4/7*h**5 - 32/7*h - 8/7*h**3 + 0 + 48/7*h**2 = 0.
-2, 0, 1, 2
Let n(y) be the first derivative of -y**6/90 - y**5/6 - y**4 - y**3/3 + 33*y - 50. Let u(a) be the third derivative of n(a). Suppose u(i) = 0. Calculate i.
-3, -2
Let a(b) be the first derivative of -b**5/10 - 3*b**4/8 + b**3 + 31*b**2/2 - 29. Let h(t) be the second derivative of a(t). Let h(i) = 0. What is i?
-2, 1/2
Suppose 4*u = -5*u + 27. Let x = 2274/2849 + 24/407. Find t, given that -6/7 + x*t**2 - 3/7*t**u + 3/7*t = 0.
-1, 1, 2
Let a(p) be the second derivative of 0*p**3 + 0*p**2 + 1/170*p**5 + 32*p + 2 + 7/51*p**4. Determine h, given that a(h) = 0.
-14, 0
Let c(h) be the second derivative of -1/5*h**6 + 81/80*h**5 - 1/14*h**7 + 79/16*h**4 + 9/2*h**2 + 38*h + 7*h**3 + 0. What is j in c(j) = 0?
-2, -1/2, 3
Let t be 733 + (-2)/(-2)*-2. Let z = t + -2192/3. Solve 0 + z*a**2 + 1/3*a = 0 for a.
-1, 0
Let m(c) = -c**3 - 9*c**2 + 8*c - 18. Let j be m(-10). Factor -19*h - 3*h**4 + 7*h - 9*h**j + 12*h**3 + 7 + 5.
-3*(h - 2)**2*(h - 1)*(h + 1)
Factor -45/2 - 81/4*y + 5/2*y**2 + 1/4*y**3.
(y - 6)*(y + 1)*(y + 15)/4
Let w(n) be the first derivative of -3*n**4/32 + 157*n**3/4 - 4680*n**2 + 18252*n - 3576. Factor w(m).
-3*(m - 156)**2*(m - 2)/8
Let o(r) be the second derivative of -r**4/4 - 37*r**3/18 - 14*r**2/3 - 2*r + 545. Factor o(u).
-(u + 1)*(9*u + 28)/3
Suppose -20 = a - 3*o - 16, -4*o + 12 = 2*a. Let v be (-25)/(-40)*14/5. Factor 1/4*s**a + v + 2*s.
(s + 1)*(s + 7)/4
Let j = 460 - 206. Solve 115*o**2 + 5*o**4 + 114*o**2 - j*o**2 + 20 = 0.
-2, -1, 1, 2
Factor -l**3 + 16*l**2 - 50 + 638 + 24*l**2 - 82*l**2 + 551*l + 4*l**2.
-(l - 12)*(l + 1)*(l + 49)
Determine w, given that 4/3*w**3 + 0 + 5/3*w**2 - 1/3*w**4 + 0*w = 0.
-1, 0, 5
Factor 5*n**2 + 274*n - 120*n - 39*n - 120.
5*(n - 1)*(n + 24)
Let n = 72 + -48. Let q be 80/n*2*(-3)/(-4). Solve 15*o**5 - 36*o**2 + q + 7*o**3 - 37*o**3 + 5*o**4 + 15*o + 26*o**2 = 0.
-1, -1/3, 1
Suppose 7 = -z - 2*r, 3*z - 2 = -z - 2*r. Factor 8*t**z - 5*t**3 + 2*t**3 + 5*t**5 - 10*t**4.
5*t**3*(t - 1)**2
Let a(q) be the third derivative of q**8/784 + 3*q**7/490 - q**6/28 + q**5/70 + 9*q**4/56 - 5*q**3/14 - 2*q**2 + 1074. Factor a(x).
3*(x - 1)**3*(x + 1)*(x + 5)/7
Suppose -356*r - 223*r + 965305*r**2 - 964729*r**2 + 3*r**3 = 0. What is r?
-193, 0, 1
Let y = -11 - 45. Let r be (-632)/y + (-4)/(-14) - 3. Factor -12/7*f**3 + 12/7 - r*f + 51/7*f**2.
-3*(f - 2)**2*(4*f - 1)/7
Let l(o) be the second derivative of -182*o**6/3 + 928*o**5/5 - 613*o**4/3 + 304*o**3/3 - 24*o**2 - 2*o + 275. Find k such that l(k) = 0.
2/13, 2/7, 3/5, 1
Suppose -3*p = -4*q + 3389 - 3452, 0 = -53*p + 3*q + 301. Suppose 0 - 2/3*i**4 + 1/3*i**p + 0*i + 0*i**3 + 0*i**2 = 0. Calculate i.
0, 2
Let m(y) = 2*y - 5. Let h be m(5). Let s(a) = a**2 - 9*a + 22. Let g be s(h). Factor -3*d**3 + 6*d**2 - 6*d**g + 4*d**2 + 4*d**4 - 5*d**3.
4*d**2*(d - 1)**2
Factor 1369*j + 2*j**2 - 821*j - 940*j + 2*j**2 + 9604.
4*(j - 49)**2
Suppose 5*u + g = 430, 2*u + g - 138 - 37 = 0. Let m = 90 - u. Solve 4*x**3 - 5*x**5 + 0*x**5 + x**m = 0.
-1, 0, 1
Let s(k) be the third derivative of -k**5/120 + 79*k**4/48 - 187*k**3/3 - 4459*k**2 + 1. Let s(j) = 0. What is j?
11, 68
Let a = -265/8 - -1549/40. Let w(o) = 3*o**2 + 4088*o + 4088. Let d be w(-1). Suppose -a*q**d + 36/5*q**2 - 8/5*q + 0 = 0. What is q?
0, 2/7, 1
Suppose i + 3*i = -3*h - 104, -h - 2*i - 32 = 0. Let x = h - -42. Factor 0*z + 2*z + 1 + 0*z + 0*z**2 + z**x.
(z + 1)**2
Let v(f) be the first derivative of f**6/420 + f**5/42 + f**4/14 + 67*f**2 + 87. Let j(i) be the second derivative of v(i). Factor j(z).
2*z*(z + 2)*(z + 3)/7
Find x such that 15*x**3 - 28*x - 16*x - 5 - 31*x + 2*x**4 - 22 - 35*x**2 = 0.
-9, -1, -1/2, 3
Suppose -21 = 36*m - 43*m. Suppose m*z + 427 = 454. Solve 3/5*h**3 + 21/5 + 27/5*h**2 + z*h = 0 for h.
-7, -1
Let k(j) be the first derivative of 5 - 1/720*j**6 + 0*j**3 + 6*j**2 + 0*j + 0*j**5 + 1/144*j**4. Let n(u) be the second derivative of k(u). Factor n(t).
-t*(t - 1)*(t + 1)/6
Suppose 27 = 63*j - 60*j. Suppose -6*o = -3*o - j. Determine t, given that -30*t**2 - 5 - 1246*t + 0 + 1195*t - o*t**3 - 19 = 0.
-8, -1
Solve -10324*j**2 - 116*j**3 + 11092*j**2 - 265*j - 4*j**4 + 32121*j + 0*j**4 + 30976 = 0.
-22, -1, 16
Let j(u) be the second derivative of -u**4/4 - 2*u**3 + 351*u**2/2 - 4429*u. Find a such that j(a) = 0.
-13, 9
Let r = -168299145277/3514 - -47893895. Let u = 2/1757 + r. Factor 0 + u*x**4 + 3*x + 11/2*x**2 + 3*x**3.
x*(x + 1)*(x + 2)*(x + 3)/2
Let a(t) = 13*t**2 - 9*t + 56. Let v(r) = 24*r**2 - 16*r + 104. Let c(h) = -13*a(h) + 7*v(h). Factor c(k).
-k*(k - 5)
Let n(u) be the second derivative of -1/18*u**3 - 1/108*u**4 + 3 - 11*u + u**2. Find k such that n(k) = 0.
-6, 3
Suppose 3*y - 11 = 2*y - 5*b, -b = y - 7. Let k be 3/(-6) + 195/y. Factor 12*v - 21*v**4 - v**5 - 28*v**2 + k*v**3 + 5*v**5 + 3*v**4 - 2.
2*(v - 1)**4*(2*v - 1)
Let l be (-40)/(2400/(-495)) + (-6 - 1). Let h(v) be the second derivative of -16*v + 25/6*v**3 - 5/6*v**4 + 5*v**2 - l*v**5 + 0. Find a such that h(a) = 0.
-1, -2/5, 1
Factor 1800*j + 60667 + 141833 - 547*j**2 + 551*j**2.
4*(j + 225)**2
Let x = -1 + 6. Let o be (-18)/(-15)*x/3. Determine v, given that -196 + 14*v + 17*v + 0*v**o - 4*v**2 + 25*v = 0.
7
Factor 55*s + 5/2*s**2 - 100 - 5/2*s**3.
-5*(s - 4)*(s - 2)*(s + 5)/2
Let t(s) be the second derivative of -1/6*s**4 + 0*s**2 + 71*s - 1/70*s**5 + 0 - 10/21*s**3. Factor t(w).
-2*w*(w + 2)*(w + 5)/7
Let z(h) = -15*h - 137. Let o be z(-10). Let j be (2 - 101/51)/(o/156). Determine c so that 0 + 0*c - 14/17*c**4 + 10/17*c**5 + 0*c**2 + j*c**3 = 0.
0, 2/5, 1
Suppose 61*r**5 + 25*r**4 - 111*r**5 - 25*r**2 + 55*r**5 + 12*r**3 - 20*r + 3*r**3 = 0. What is r?
-4, -1, 0, 1
Let k(z) be the second derivative of -5*z**4/12 - 295*z**3/6 - 145*z**2 + z - 63. Factor k(g).
-5*(g + 1)*(g + 58)
Let s(j) be the second derivative of 0*j**2 + 1/4*j**3 - 1/16*j**4 - 20 + 1/40*j**6 + 5*j - 3/40*j**5. Factor s(f).
3*f*(f - 2)*(f - 1)*(f + 1)/4
Let w be (156/(-936))/((-9)/(108/(-32)) - 3). Determine s so that 0 + 0*s + 1/4*s**2 + 1/4*s**4 + w*s**3 = 0.
-1, 0
Let u(l) be the first derivative of l**5/20 - l**4 + 8*l**3 + 3*l**2/2 - 57*l + 179. Let f(n) be the second derivative of u(n). Suppose f(z) = 0. Calculate z.
4
Let i(u) be the third derivative of -u**7/1050 - 98*u**6/75 - 19208*u**5/25 - 3764768*u**4/15 - 737894528*u**3/15 - 7*u**2 + 9*u. Factor i(g).
-(g + 196)**4/5
Suppose -44 = 4*g - 108. Solve 246*a**3 - 100*