*n/(n/((n*n*(n*n/(n*n**(3/13)))/n)/n)*n)))/(n**(-2/21)/n**(-17)) assuming n is positive.
n**(-9923/546)
Simplify q**(-5/14)/(q/(q**38/q*q))*(q*q/(q*q*q/(((q**(6/7)*q)/q)/q)))**(-39) assuming q is positive.
q**(1137/14)
Simplify (((b*b**6/b*b*b*b*b)/b)/(b/(b/(b*(b*b/(b/(b*b**(-2/9))))/b)*b)))/(b*b**3*b)**(-25) assuming b is positive.
b**(1199/9)
Simplify (a*a**(2/39))/(((a/a**(-15))/a)/a)*a**(3/11)*a**(3/10)*a assuming a is positive.
a**(-48803/4290)
Simplify ((w**(-6)/(w/(w*w*w*w**(1/4))))/((w*w/(w/(w/(w**(-2)*w)*w)*w))/(w*(w/w**(-2/19))/w)))**17 assuming w is positive.
w**(-7293/76)
Simplify (f/f**13*f/f**(-6)*(f/(f*(f*f/((((((f*f*f/(f*f**(-4))*f*f)/f*f)/f)/f)/f*f)/f))/f))**29)**(-49) assuming f is positive.
f**(-5439)
Simplify m**(-2/13)*m**13*m*m*(m**1*m)**(-43) assuming m is positive.
m**(-925/13)
Simplify ((z**3)**(-2/9)*(z*z**(-3/10))/z**(-1/11))**(-12/5) assuming z is positive.
z**(-82/275)
Simplify (z/z**6*z/(z/(z**(-4)/z)*z)*(z**1)**(-6))**(3/7) assuming z is positive.
z**(-51/7)
Simplify (q**(4/11)*q**4)/(q/(q/(q**(-2/23)/q)*q))**(-3) assuming q is positive.
q**(-480/253)
Simplify (g*g**(1/6)*g)/(g**(-11)*g)*(g**3)**(-24) assuming g is positive.
g**(-359/6)
Simplify (t/t**(1/6))**(2/35)*(t**(-8/7))**(-1/20) assuming t is positive.
t**(11/105)
Simplify (v**(-1)/(v*v**(-3/17)))/(v**20)**(-3) assuming v is positive.
v**(989/17)
Simplify (t**(-12)/t**(-13))/(t/t**(-3))**(-2/15) assuming t is positive.
t**(23/15)
Simplify ((c**(2/5)*c)/(c*c/((((c/(c**(-6)*c))/c)/c)/c))*c/(c/(c*c**(-4)))*c*c/c**4)**(12/11) assuming c is positive.
c**(-156/55)
Simplify (v**(-12))**(-20)/((v*v**(-5/4))/v)**(35/6) assuming v is positive.
v**(5935/24)
Simplify (t/t**13)**32*t**(2/3)/(t/t**(-3/8)) assuming t is positive.
t**(-9233/24)
Simplify (l*l**(-2/37))**(-35/3)*l**(1/10)*l*l*l/((l*l**(-15)/l)/l) assuming l is positive.
l**(8951/1110)
Simplify (s*s/(s**(1/6)/s)*s/(s/s**(-8/5)))**2 assuming s is positive.
s**(37/15)
Simplify ((c*(c/(c*c*c**(2/3)*c))/c)**(-2/83)*c**4*c**6)**(-6) assuming c is positive.
c**(-5012/83)
Simplify y**(-15)*y/y**(-3)*y**(-3/8)/y**14 assuming y is positive.
y**(-203/8)
Simplify ((v*v*(v*v**(-24/7)/v)/v*v)/(v**(-22)/v*v*v))**(-31) assuming v is positive.
v**(-4247/7)
Simplify (x**(2/21)*(x/(x*(x/x**(-14))/x)*x)/x)/((x**(-1/19)*x)/x**(-14)) assuming x is positive.
x**(-11512/399)
Simplify (p*p*p**(-1/2))**38/(p**2*p**(-2/29)) assuming p is positive.
p**(1597/29)
Simplify ((w*w*w/(w*w**(-28)/w))/(w/(w/(w**(-1/2)/w))))**(-1/65) assuming w is positive.
1/sqrt(w)
Simplify (q/((q*q**8*q*q)/q))**36/(q/(((q/(q*q/(q*q**(-5)*q)))/q)/q))**(-39) assuming q is positive.
q**(-51)
Simplify (a**(-6)/a)**(-3)/(a/(a**(-1/7)*a*a)*a*a**(-2/9)) assuming a is positive.
a**(1328/63)
Simplify (k**23*k/(k/(k*k**(-9/4))*k))/(k**(1/11))**(1/58) assuming k is positive.
k**(26475/1276)
Simplify (m/(m*(m*(m**(4/9)/m*m)/m)/m)*m)/m**(-12)*(m*((m/(m/((m/(m**0*m)*m)/m)))/m)/m)/(m/m**(-1/21)) assuming m is positive.
m**(725/63)
Simplify ((g*g/(g**(2/13)/g)*g)/(g**(6/11)*g*g))/(g**2)**3 assuming g is positive.
g**(-672/143)
Simplify (k*(k*k**2*k)/k)/(k/(k**(-9/4)*k))*((k**(-23)*k*k)/k)/k**(-1/3) assuming k is positive.
k**(-239/12)
Simplify (i*i*i**3)**(6/13)*i**7*i*i**(-4) assuming i is positive.
i**(82/13)
Simplify (i**(-6/7))**(1/2)/((i**(1/9)/i)/((i**(3/20)/i)/i)) assuming i is positive.
i**(-1751/1260)
Simplify ((r**(1/30)*r)**(1/15))**4 assuming r is positive.
r**(62/225)
Simplify x**(-4/11)/(x/x**(-2/73))*x*x**12*x/(x**(-27)*x*x) assuming x is positive.
x**(30200/803)
Simplify (t/t**(-8/7))/(t*(t*t/t**(-19))/t)*(t*t**(-13)/t)/(t*(t**26*t)/t*t*t) assuming t is positive.
t**(-426/7)
Simplify (a**(4/5)/a**(-23))**8 assuming a is positive.
a**(952/5)
Simplify (((o/(o**(-3)*o*o)*o)/o)/o)**30/(o**28*o*o**(-2/63)*o) assuming o is positive.
o**(2/63)
Simplify (u*u/u**(-5/8))**23*(u**(-4))**(5/9) assuming u is positive.
u**(4187/72)
Simplify (q/(q*q**41))/(q*q**(-4/25)*q)*(q**(-12)/q*q)**(-2/3) assuming q is positive.
q**(-871/25)
Simplify (((x*((x**(-10)/x*x)/x)/x)/x)/x**(1/11))/((x*x**(1/2))/(x**9*x)) assuming x is positive.
x**(-79/22)
Simplify i**(2/5)/(i/(i/(i*i**(2/37))*i))*(i*i/(i/(i**(-17/5)*i*i)))**(1/68) assuming i is positive.
i**(2139/6290)
Simplify ((q**(1/10)*q)/q**(5/3))/(q**(2/77)*q**(-2/39)) assuming q is positive.
q**(-5419/10010)
Simplify (r*r**(-3/4)*r)**(-39)/(r**(-26)/(r*r*r*r/(r/(r/((r*r/(r**22*r))/r)))*r)) assuming r is positive.
r**(17/4)
Simplify (b*b*b**(-5)*b)**(6/11)/(b**(9/7)*(b*(b*(b*b/b**(1/20))/b*b*b)/b)/b) assuming b is positive.
b**(-8203/1540)
Simplify (s/((s/(s/s**10*s))/s)*s)**(-2/45)*(s*s/(s/(s/s**(-7))*s))/s**(-20) assuming s is positive.
s**(424/15)
Simplify ((((j**(-5/7)*j)/j*j)/j)/j**(-3))/(j*j*j**(2/11)/j)**13 assuming j is positive.
j**(-1007/77)
Simplify ((((s/(s*s**1*s))/s)**(-3/16))**(-45))**(-2/3) assuming s is positive.
s**(135/8)
Simplify g**(-11)/g*g**(-26)*(g*g**(1/6))**19 assuming g is positive.
g**(-95/6)
Simplify (g**(3/2)/(g**(-2/23)/g))/(g**(-1/8)/g**(-7/4)) assuming g is positive.
g**(177/184)
Simplify (l**(3/7))**(-14)*l**(-17)*(l**(-2/3)*l)/l assuming l is positive.
l**(-71/3)
Simplify (x**(-9)/((x*x/x**(-1/7)*x)/x*x))/((x/(x**(-16)/x))/x**2) assuming x is positive.
x**(-197/7)
Simplify ((s**(-1/2))**(-15/7)/(s*s**(-2/7)*s*(s*s*s**(-2/21)/s*s)/s*s))**(6/7) assuming s is positive.
s**(-107/49)
Simplify (k**(3/11)*k*k**25*k)**40 assuming k is positive.
k**(12000/11)
Simplify x**16*x**17*(x/x**(-3/11))**(2/79) assuming x is positive.
x**(28705/869)
Simplify (u*u**11*u)/((u*u**(-15)/u)/u)*u/u**(-5/6)*u/(u*u*u**(-7/5))*u assuming u is positive.
u**(967/30)
Simplify ((s**(-3)/s)/s*s)**(-4)/((s/(s*s**(-13)/s*s))/s*s**13/s) assuming s is positive.
s**(-8)
Simplify ((f*f*f*f**22)/(f*f**(1/2)))/(f*f*f/(f*(f/f**(-1/48))/f)*f*f*f**(-5/14)*f*f) assuming f is positive.
f**(6007/336)
Simplify ((p/(p**(4/7)/p)*p**(-2/5))/(p/p**(2/13))**(-3))**(-8) assuming p is positive.
p**(-12984/455)
Simplify ((k**(-2/9)/(k*(k**(-3)*k)/k))**(-25))**21 assuming k is positive.
k**(-2800/3)
Simplify (((i**(-3/7)*i)/(i/(i**(-3/2)/i)))**(2/31))**(1/7) assuming i is positive.
i**(-41/1519)
Simplify (a**(-3/19)*a**(4/7)/a)/(a/(a**(-2/25)*a)*a*a**(-14)) assuming a is positive.
a**(41009/3325)
Simplify x/(x/x**16)*((x*x**(1/2))/x)/x*x*x/(x*x/x**(-6/5))*x*x**13 assuming x is positive.
x**(283/10)
Simplify ((m/(m/(m*m*m*m*m**(-11)*m*m*m)))**(-1/15))**(-4/5) assuming m is positive.
m**(-16/75)
Simplify ((l*l/(l**(-24)/l))/l)**(-6/23)/(l**(-8/15)/l**(-2/9)) assuming l is positive.
l**(-6698/1035)
Simplify ((h*h**9*h*h/((h*h**(-3/7))/h))/(((h*h**(-9)*h)/h)/(h*h**(-7))))**(2/49) assuming h is positive.
h**(202/343)
Simplify (p**1/(p/p**(-34)))/(p**(2/5)*p*p/((((p/p**29*p)/p)/p)/p)*p*p) assuming p is positive.
p**(-342/5)
Simplify (m**(1/5))**(-38)/(m**19/(m/(m**(-6)/m))) assuming m is positive.
m**(-93/5)
Simplify (w/(w**(2/75)*w))**24/(w*w**9*w*w/w**(-2/13)) assuming w is positive.
w**(-4158/325)
Simplify ((m**(2/5)/m)**47*(m*m*m**(2/9)*m)**(-6/7))**(-33) assuming m is positive.
m**(35761/35)
Simplify ((j**(-13)/j)**(-6/25))**(3/37) assuming j is positive.
j**(252/925)
Simplify (s/s**(2/29))**(-1/21)*s**(-24)*s/(s/(s/s**(-17)))*s assuming s is positive.
s**(-1024/203)
Simplify ((c/(c/(c*c**(-15)*c*c)))/c)/c**(3/16)*(c/(c*c*c**(3/11)*c)*c)/((c**(-3/7)/c)/c) assuming c is positive.
c**(-14823/1232)
Simplify c/((c*c**10)/c*c)*c*(c*c**(-2/9)*c*c*c)/c*(c/((c**28*c*c)/c))/c**(-1/23) assuming c is positive.
c**(-7075/207)
Simplify f**(-11/3)*f**(2/23)*f**(-12)/f**(1/30) assuming f is positive.
f**(-3591/230)
Simplify n/((n*n/n**(-8/3))/n)*n*n*n/(n*n*n*n/n**(8/7)*n)*n*(n/n**(-1/2))/(n/(n**(-2)/n)) assuming n is positive.
n**(-211/42)
Simplify (n**(2/3))**(-36)*(n/(n**5/n)*n)/(n*n**(2/5)) assuming n is positive.
n**(-137/5)
Simplify ((n*n*n**0)**(2/75)*(n*n/(n*n**6))/n*n**5)**(4/15) assuming n is positive.
n**(-284/1125)
Simplify (((i**(2/23)/i)/i*i)**16)**(6/11) assuming i is positive.
i**(-2016/253)
Simplify (h*h/(h/((h*h**(2/9)*h*h)/h)))**47/(h**(3/19)/(h*h/h**(4/3))) assuming h is positive.
h**(25984/171)
Simplify ((h*(h/(h**(-1/2)/h)*h)/h)/h**(-2)*(h/(h**(-1)/h))/(h**(-1)*h))**38 assuming h is positive.
h**323
Simplify (j**(-5)/j*j*j**(-1/6))/((j/(j*j**


scending order.
5, c, 0
Suppose -26*a + 24*a = 28. Let b(t) = -48*t + 1. Let f be b(-1). Let w be (-1)/2 + f/a. Sort 3, -3, w in decreasing order.
3, -3, w
Suppose 2*h - 4 = 0, 4*h - 13 = 2*z - 1. Let d be z + (174/34 - 3). Sort d, -5, 0.5 in descending order.
0.5, d, -5
Let o be -3 + -4 - (-4 + 1). Sort -1, 1, o in descending order.
1, -1, o
Let k(y) = y**3 - y**2 + 1. Let t be k(2). Suppose -5*p + 5 = 10. Let b be 3*2*p/2. Sort 0.5, t, b.
b, 0.5, t
Suppose -2*v + 3*v + 2 = 0. Let i be v + (2/1)/1. Put -3, i, 3 in descending order.
3, i, -3
Let z be ((-8)/(-10))/(8/(-20)). Put -0.4, z, -0.06 in increasing order.
z, -0.4, -0.06
Let o(h) = -2*h + 1. Let c be o(-1). Suppose -4*n + c*n - 4 = 0. Suppose -5*g - s + 4*s + 20 = 0, 0 = g - 3*s - 16. Put g, 0, n in increasing order.
n, 0, g
Let w = -0.1 + 1.1. Let g = w - -2. Let q be 17/((-17)/2) + 11/6. Sort q, -0.4, g in increasing order.
-0.4, q, g
Suppose -2*t - 2*u = 12, -t - 5*u = t + 27. Let a(g) = 2*g - 12. Let o be a(6). Put t, 5, o in decreasing order.
5, o, t
Let l(v) = -4*v**2 - 211*v + 55. Let g be l(-53). Let n(a) = -2*a**2 - a - 3 + a**3 + 2*a - 4*a. Let s be n(3). Put -4, g, s in descending order.
g, s, -4
Let r = -0.068 + 0.008. Let i = 487.94 + -493. Let v = r - i. Put -4, -3, v in descending order.
v, -3, -4
Let r = 24 - -1. Suppose 7*w - 2*w = -r. Put w, -4, 0 in decreasing order.
0, -4, w
Let t = 11 + -12.8. Let b = 0.8 + t. Let y = 0 + b. Put 4, y, -2 in descending order.
4, y, -2
Let r(v) = -2*v - 17. Let f be r(-7). Let y be 10/(-4)*14/7. Let b = y - -4. Put 1, b, f in increasing order.
f, b, 1
Let m = 19 - 18.9. Put m, -2/9, 2 in decreasing order.
2, m, -2/9
Let r(k) = -k + 5. Let y be r(5). Suppose 0*z - 6 = s - 3*z, -4 = -2*z. Let l be 0 - ((2 - y) + s). Put l, 5, 2 in ascending order.
l, 2, 5
Suppose -y + 2*x + 36 = 0, -y + 88 = 2*y - x. Suppose 3*u + 2*t + 16 = 0, u = 5*u + 4*t + y. Let s be (-6)/5*(-20)/(-6). Put u, -3, s in descending order.
u, -3, s
Let b be (-16)/6*9/(-6). Let f(x) = x - 2. Let c be f(-2). Let a be ((-28)/(-42))/(2/(-15)). Sort c, a, b in decreasing order.
b, c, a
Let d(b) = b**2 - 13. Let k be d(-4). Put k, 2, 1 in descending order.
k, 2, 1
Let y = -17 - -17.26. Let k = -0.06 + y. Sort -4/3, k, 1/3 in ascending order.
-4/3, k, 1/3
Let t = -11 + 13. Put t, 14, -4 in decreasing order.
14, t, -4
Let w be (-4)/(-14) + 182/49. Put w, 2, 0 in descending order.
w, 2, 0
Let y = -0.34 + -4.66. Put -4, y, 0.17 in decreasing order.
0.17, -4, y
Suppose -v = 9*v - v. Let q be (-6)/(-8) + 2/8. Put v, q, -3 in increasing order.
-3, v, q
Let z = -32 + 55. Let f = 21 - z. Put 0.4, 2/3, f in descending order.
2/3, 0.4, f
Suppose -6 + 16 = -2*o. Sort o, -1, 4 in increasing order.
o, -1, 4
Let p be (-8)/(-7) - (2 + -1). Let m = -2.5 + 3. Let n = m + -0.6. Sort 2, n, p in decreasing order.
2, p, n
Suppose 0 = -2*k + 2*n - 9 - 5, -2*k - 3*n - 4 = 0. Sort 3, k, -2/21, 0 in decreasing order.
3, 0, -2/21, k
Suppose f - 3*f + 14 = 5*i, -3*i - f + 8 = 0. Let x(h) = 3*h. Let j be x(1). Put i, j, -3 in increasing order.
-3, i, j
Suppose 5*q - 5*l = -18 + 3, 2*q = -5*l + 22. Suppose 0 = -0*x + x - 28. Suppose -4*t = 16, -3*t = 5*w - t + x. Put w, -3/2, q in decreasing order.
q, -3/2, w
Let d = 2.5 + -1.8. Let b = 0.3 + d. Put -5, 0, b in descending order.
b, 0, -5
Suppose -2 = -3*n + 1. Let t = n + 0. Let i(b) = -b**3 + 5. Let w be i(0). Put w, t, -2 in descending order.
w, t, -2
Suppose 29 = 4*c - 3*v + 6, -2*c = 4*v + 16. Suppose 0 = -n + c + 1. Put n, -3, 0 in decreasing order.
n, 0, -3
Let a = 3 - 7. Put 5, a, -0.2 in descending order.
5, -0.2, a
Let k = -2.22 - -2.62. Let c be -2*2/(-8)*2. Sort 4, k, c.
k, c, 4
Let o(a) = -a**2 - 9*a - 5. Let i be o(-8). Suppose f = -3*f + 4, -2*f - 7 = -i*j. Let h = 0 + -3. Put 0, j, h in ascending order.
h, 0, j
Suppose 9*j = 15*j - 12. Sort 83, 5, -3, j in ascending order.
-3, j, 5, 83
Suppose 2*n - 4*n - 3*n = 0. Let v be (-24)/124*(-1)/3. Let i = -109/248 + v. Sort -3, n, i.
-3, i, n
Let n = -1.6 + 2. Let r = 0.7 + -0.2. Let w = 0.2 - r. Put n, w, -0.4 in decreasing order.
n, w, -0.4
Suppose s - 2*s + 4 = 0. Suppose 4*b + 0*b = 20, -s*h - b + 21 = 0. Sort h, -1/2, -0.3 in decreasing order.
h, -0.3, -1/2
Let d = -1 - 0. Let m = 24 - 21. Let f(r) = r**3 - 8*r**2 + 6*r + 4. Let x be f(7). Sort d, x, m.
x, d, m
Let g be (-2 - (-5 + 3)) + 2 + -5. Put g, -1, -5, 4 in decreasing order.
4, -1, g, -5
Let m = -3 + 1. Let a = 13 + -9. Suppose a*n + 2 = -18. Sort 3, m, n in ascending order.
n, m, 3
Let f be (-1 - 8/(-6))/((-40)/(-1440)). Put f, -2, 3, -3 in increasing order.
-3, -2, 3, f
Let w(k) = k**3 - 6*k**2 + 4*k + 4. Let n be w(5). Let h(d) = -d**3 + 1 + 1 + 4*d**2 - 2*d**2 + 3*d. Let x be h(3). Put 4, n, x in ascending order.
n, x, 4
Suppose -2*g - 3 = -3*g. Put g, -4, 0 in decreasing order.
g, 0, -4
Let i = 68 + -69. Sort -3, 11, i, 2 in increasing order.
-3, i, 2, 11
Let i be 0/((-4)/((-16)/4)). Sort 6, i, 4.
i, 4, 6
Suppose -t - 3*t = -5*z + 26, -t + 6 = 5*z. Sort t, 5, 4.
t, 4, 5
Let u = -4 + 1. Sort -4/5, 2/17, u in decreasing order.
2/17, -4/5, u
Let c = 0 + -5. Sort c, -2, 4 in descending order.
4, -2, c
Let j = 3 + -4. Let t = -1 - j. Suppose -3*q - 10 + 4 = t. Put q, -1, -5 in descending order.
-1, q, -5
Suppose -2*p + 24 = -4*h, -3*h - h = -p + 22. Let n = -104/693 - 2/63. Let b = 2 - 3. Put n, h, b in descending order.
n, b, h
Suppose 0 = -3*h - 3 + 9. Suppose -3*d - 1 = h. Suppose -z - 4*z = 0. Sort -3, z, d in ascending order.
-3, d, z
Let p = -0.14 + -0.86. Put -1/4, p, 1 in decreasing order.
1, -1/4, p
Let n be (0 - 3)/((-9)/(-2)). Let h = 2.2 - 0.5. Let b = h + 2.3. Sort n, 0.1, b.
n, 0.1, b
Suppose -6*b = -b + t + 29, -5*b + 3*t = 13. Let v be 0/(-5) - 4*-1. Let h = 4 + -1. Sort v, h, b in descending order.
v, h, b
Suppose -2*i = -5*d + 8, 4*i - 6 = -0*d - d. Suppose 5*n - 10 = n + 2*v, -d = -2*n + 2*v. Sort n, 3, -0.3 in descending order.
n, 3, -0.3
Suppose -9*f - 12 = -7*f. Let c = -7 - f. Sort c, -3, -5 in ascending order.
-5, -3, c
Let y(d) = d - 11. Let v be y(11). Sort 6, v, 3.
v, 3, 6
Let n = 3/34 - -59/102. Put n, 0.4, 4 in decreasing order.
4, n, 0.4
Let p = 12 + -16. Let q(z) = -2*z - 4. Let v be q(p). Sort -4, -1, v.
-4, -1, v
Let r = -5 - -7. Let q be r - ((-39)/15)/(-1). Put 1, 0.4, q in decreasing order.
1, 0.4, q
Suppose 3*g = -0*o - o - 2, o + 2*g = 0. Suppose -y = -5*d + 20, 39 - 4 = 5*d - 4*y. Suppose 0 = 4*z - d*z + 3. Sort 1, o, z in descending order.
o, 1, z
Let g(a) = a**3 - 6*a**2 + a - 7. Let h be g(6). Suppose 0 = n + t + 4, -n - 2*n = 2*t + 12. Let w be 10/6 + -1 + 4/(-6). Put h, n, w in increasing order.
n, h, w
Let k = -50 - -50. Put k, -0.5, -0.4, 3/5 in descending order.
3/5, k, -0.4, -0.5
Suppose 4*o - 7*o = -3*p, 4*p - 6 = -2*o. Sort -3, 5, 2, p.
-3, p, 2, 5
Let y(q) = q**3 - 2*q**2 - 3*q + 2. Let k be y(2). Let j = -3 + 2. Let c = -1 - j. Sort k, c, 2/9 in decreasing order.
2/9, c, k
Let q = 9.11 - 0.11. Let p = -11 + q. Sort p, 1/3, -3.
-3, p, 1/3
Suppose 3*m + h = 7*m - 41, m - 19 = 2*h. Sort m, -2, -3 in ascending order.
-3, -2, m
Suppose 0 = -t - 2*t - 3*r - 69, -5 = t - 5*r. Let c be 8/t*(-10)/4. Put -4, c, -5 in decreasing order.
c, -4, -5
Let a = 0.1 + 0.4. Let g = 0.1 - a. Let n be (-24)/(-15) + -2 - -1. Put g, n, -2 in decreasing order.
n, g, -2
Suppose -10*j + 2*j - 40 = 0. Put j, -2/5, 4 in increasing order.
j, -2/5, 4
Suppose -5*a = 5*t + 20, -3 = 2*a - t - 1. Let c = 15 - 10. Put c, a, 4 in descending order.
c, 4, a
Let x be 35/(-14)*(-8)/5. Suppose -4*g - 11 = h, -2*g - h + 21 = -6*g. Sort x, g, -5.
-5, g, x
Let o be 2/((-1)/4*2). Suppose 4*t - 5*a - 8 - 3 = 0, -t + 2*a = -5. Sort t, -5, o in decreasing order.
t, o, -5
Let v = -0.2 - -2.2. Let d = 549 + -546. Put v, d, -2 in decreasing order.
d, v, -2
Let m = 2.2 - 1.8. Let c = 0.3 + 4.7. Sort m, c, -3.
-3, m, c
Suppose 6 = -o - o. Put -2, -1, o in decreasing order.
-1, -2, o
Let v = 9 + -7. Let z = -3 + v. Let g = 0.2 + -0.3. Put z, -0.5, g in ascending order.
z, -0.5, g
Suppose -k - 3*k = 5*t + 14, 4*t = -2*k - 10. Put 1, t, 5 in increasing order.
t, 1, 5
Let l = -39 - -37. Sort l, -1, -4.
-4, l, -1
Let t be 1/((-66)/68 - -1). Suppose -t = 5*l - 9. Let u(b) = b**2 - 15*b + 19. Let i be u(14). Sort i, l, 2 in descending ord


) = 4*i + 1. Calculate the smallest common multiple of w and o(2).
855
Let k = -10427/5 - -5130029/2460. Calculate the common denominator of k and -103/36.
1476
What is the common denominator of 13/136 and (-400)/(-700) - (-293)/(-2142)?
1224
Let b = 110567/10 - 11060. Let l(o) = -657*o. Let j be l(-1). Let z = j + -6601/10. Calculate the common denominator of z and b.
10
Suppose -4*c = y - 96, 37 - 13 = c - 2*y. Calculate the smallest common multiple of c and 699/(-466)*(1 - 27).
312
Suppose -1248 = -u - 19*u - 6*u. What is the smallest common multiple of u and 408?
816
Let l = -42784 + 1240894/29. Let g = 2817/203 - l. Find the common denominator of g and -44/7.
7
Calculate the smallest common multiple of 17/136 + 17157/24 and 143.
715
Let c = 16 + -7. Suppose -2*o = -5*q - 83, 269*o - 2*q - 152 = 266*o. Suppose o*l + 161 = 1133. What is the least common multiple of l and c?
18
Suppose -440*z = -5*g - 436*z + 594, 438 = 4*g + 3*z. What is the least common multiple of g and 40?
2280
Let c = -5638 - -5797. What is the lowest common multiple of 51 and c?
2703
Suppose 7524 = 140*z - 83*z. Suppose -4*y + 0*f - 5*f = 151, 5 = f. Let p = z + y. Calculate the smallest common multiple of 4 and p.
88
Find the common denominator of (-58)/(-12) + -15*10/(-25) and -49/16.
48
Suppose -4355*g - 39060 = -4390*g. Calculate the smallest common multiple of g and 6.
1116
Let d = 1495965/28 + -53433. Let l = d + 1669/252. What is the common denominator of -73/74 and l?
666
Let g = 29 + -25. Find the common denominator of 6/g + (-5)/(-1920)*6 and 13/8.
64
Let h(a) = a**3 + 5*a**2 - 3*a. Suppose -6*o - 28 = 2. What is the least common multiple of 2 and h(o)?
30
Let z(r) = -r**2 + 30*r + 582. Calculate the least common multiple of 2 and z(31).
1102
Let m(v) = -v. Let n(f) = -126*f + 27. Let y(h) = -3*m(h) - n(h). Calculate the lowest common multiple of y(3) and 20.
360
Let v = -253/8 + 1115/24. Let t = -36482 + 1824167/50. Calculate the common denominator of t and v.
150
What is the common denominator of -49/2256 and 1381112/(-6154368) + (-6)/(-22)?
2256
Let g(l) = 59*l**2 - l. Let n be g(1). Suppose j - 73 = -n. Calculate the smallest common multiple of j and 40.
120
Let t = 9263/5572 - 232/597. Let q = -10729/1352 - 32/169. What is the common denominator of q and t?
168
Let c be ((-324628)/(-390))/((-1710688)/(-2154)). Let w = -2/267295 + c. Calculate the common denominator of w and -95/24.
312
What is the common denominator of 97/410 and 309/206 - 154/30?
1230
Let i = 4 - 1. Let p(l) = -l**2 - 2588*l + 28613. What is the least common multiple of p(11) and i?
24
Let y = 37826/3 + -13027. Let s = 412 + y. What is the common denominator of 6/15*(-8)/((-672)/(-707)) and s?
30
Let p = 231 - 1239. Calculate the lowest common multiple of 44 and (10/(-20))/(((-8)/(-4))/p).
2772
Let s = -183917/33 - -5572. Let c be 6/12 + (-745)/46. Let d = c - -8821/414. Find the common denominator of s and d.
198
Let a = -50389156099/100 - -503879420. Let c = a - -12140. What is the common denominator of 89/24 and c?
600
Let a = 1540 + -1036. Let s = a - 502. What is the least common multiple of s and (-3)/6 - (-147)/2?
146
Let t = 638 + -91871/144. Find the common denominator of t and 19/4152.
24912
Suppose 2*y - 3*f = f - 148, 0 = 3*y + 5*f + 277. Find the common denominator of ((-2)/y)/((-30)/660) and -17/93.
651
Let o = 1708459/4228 - -31826/755. Let w = o + -4437/10. Calculate the common denominator of w and -5/119.
476
Let x = 7097/64 - 221/2. What is the common denominator of x and -33/304?
1216
What is the common denominator of (14/(-54))/(3/(-18)) and (-105)/(-105) - 391/572*2?
2574
Let i be -2*(-1 + (-12)/(-8)). Suppose 2*t - 84 = 4*t. What is the common denominator of ((-10)/11)/1 + i and t?
11
Let n be (-768)/45 + 6/(-2). Let r = 20 + n. Calculate the common denominator of -67/20 and r.
60
Find the common denominator of 131/1602 and ((-3)/1602)/((-46)/207*(-57)/(-10)).
30438
Suppose 250 = 2*q + 5*v, 9*q + v = 13*q - 522. Calculate the lowest common multiple of 13 and q.
130
Calculate the common denominator of -41/1010 and (2 + -1)/((-2)/(-4) + 34983/(-276)).
1010
What is the common denominator of 9/27 + 5/(-72)*-44 and 111/34090?
306810
Let j = 3360 + -2093284/623. What is the common denominator of 19/89 and j?
623
Let l = 10742/3 - 2234285/624. Find the common denominator of l and 113/200.
5200
Suppose 0 = 4*j - 186 - 310. Let p = 130 - j. What is the lowest common multiple of p and 80?
240
Let u = 173 + -103. Let y = 76 - u. Let a(t) = 2*t**2 - 19*t - 2. Calculate the least common multiple of y and a(10).
24
Let u(l) = -l**2 - 12*l - 7. Let r be u(-11). Let z(t) = t**2 - 9*t + 22. Let p be z(r). Find the common denominator of -57/20 and 0 + p - (-476)/(-72).
180
Suppose 8*p + 3078 = 46*p. What is the smallest common multiple of 12 and p?
324
Let y = -6/196763 + 1491055/41910519. Calculate the common denominator of -103/112 and y.
23856
Suppose -3*i = 43 - 1879. Let z = 622 - i. What is the least common multiple of z and 63?
630
Suppose 3721*q - 3717*q = 1220. What is the lowest common multiple of q and 5?
305
What is the common denominator of ((-31)/(-558))/(10/(-1734)) + 7 and (-12)/(-42) - 446/(-252)?
90
Let w = 233 + -131. Let m = 33 + w. What is the lowest common multiple of 9 and m?
135
Let h be (-20)/(-6) + (-24)/(-36). Let g = -411 + 435. Calculate the smallest common multiple of g and ((-40)/3)/(h/(-6)).
120
Let d = -9 + 69. Suppose -2*p = 2*v - 74, -d = -4*p + 5*v + 43. Calculate the smallest common multiple of p and 152.
608
Let z(i) = -4*i + 6. Suppose 0 = -5*t + 4*n + 53, 38*n - 1136 + 352 = -4*t. What is the lowest common multiple of z(-6) and t?
150
Let x = -950522 - -5722519/6. Let u = x - 3239. Let h = -2/16307 - 1483925/97842. What is the common denominator of u and h?
6
Let t(r) = -r**2 - 7*r + 19. Let m be t(-9). Find the common denominator of -5/12 and (1/48)/(m + (-596)/584).
72
Let z = 6851/11480 + -536/205. What is the common denominator of -155/84 and z?
168
Suppose 3*g - 3 = 0, 5*c + 118*g - 122*g = 5636. What is the smallest common multiple of c and 188?
1128
Let f = 801/5 + -31114/195. Let n = -1913599/750 + -4213/375. Let p = n + 2553. What is the common denominator of p and f?
390
Let v(z) = 2*z**2 - 4*z - 9 - 23 + 17 - 3. Suppose 3*s + 4 = 2*t + 70, -s + 21 = -t. What is the least common multiple of s and v(6)?
120
Let v = 58 + -128. Let m = -10 + 17. What is the common denominator of 152/v + (-12)/(-3) and m?
35
Suppose 3126 = 6*b - 1914. Calculate the common denominator of -113/10 and 45/b*692/(-144).
3360
What is the lowest common multiple of 885 and (1062/(-10))/((-6)/140)?
12390
Find the common denominator of -17/64 and 32/112 + 174/(-392).
3136
Calculate the least common multiple of 386/(-579) + (-12448)/(-6) and 610.
10370
Let r = 172 - 167. Suppose -7 = -5*t + 13, -2*o - 2*t + 26 = 0. Suppose o = 5*n - 2*n. Calculate the lowest common multiple of n and r.
15
Let z = -15717 + 94301/6. Let m = -7573/90 - -739/9. What is the common denominator of z and m?
30
Let o = 85292527/468775440 + -2/651077. Find the common denominator of o and 17/456.
13680
Suppose -114 + 45 = -2*k - 5*i, -5*k - 2*i = -204. Suppose -58 = -6*f + 14. What is the smallest common multiple of f and k?
84
Let n(g) = -3*g + 80. Let p be n(0). Let u = -2 + p. Let z = u + -71. What is the least common multiple of z and 3?
21
Suppose 12*a + 1 = 2 + 23. Calculate the smallest common multiple of (-330)/(-9) - 2/3 and a.
36
Suppose -186 = -5*a + z - 2*z, 3*a + 2*z = 106. Suppose 4*u - 8 + 39 = 5*h, -3*u = 5*h - a. What is the least common multiple of 112 and h?
112
Calculate the least common multiple of 24 and ((-1)/2)/((-2356815)/(-112230) - 21).
29928
Let w = -10156 - -202997/20. Let j = 16437/10 - 1637. What is the common denominator of j and w?
20
Let m(h) = 2*h**2 - 353*h - 2166. What is the smallest common multiple of (-246)/(-30) - (-4)/(-20) and m(-6)?
24
Let u = -23533 + 41653409/1770. What is the common denominator of u and -79/90?
5310
Let t = -5238 - -5262. Calculate the lowest common multiple of 1008 and t.
1008
Let l be (41/(-6))/(60/130940). Let o = -14905 - l. Find the common denominator of o and -1 + -2 + -3 + (-948)/(-104).
234
Let m = -2849260771/4609 -


 l?
-265856, 1/2
Let 3*v**2/2 - 18810*v + 187950 = 0. Calculate v.
10, 12530
Factor 2*n**2/7 - 5958124*n/7 + 5958122/7.
2*(n - 2979061)*(n - 1)/7
Let -x**4/3 - 78*x**3 - 1515*x**2 - 15404*x/3 - 4828 = 0. What is x?
-213, -17, -2
Solve 46*d**4 - 15460*d**3 + 1080642*d**2 - 93852*d = 0.
0, 2/23, 99, 237
Suppose -3*c**5 - 137550*c**4 - 2101992672*c**3 - 10702622205810*c**2 + 53935870972275*c + 1885516128738000 = 0. Calculate c.
-15285, -11, 16
Suppose -2*f**2 - 184718*f + 355492140 = 0. Calculate f.
-94245, 1886
Solve 5*x**5 - 66635*x**4 + 399490*x**3 + 1864970*x**2 - 399495*x - 1798335 = 0.
-3, -1, 1, 9, 13321
Factor 5*z**2 - 999999390*z + 49999939000018605.
5*(z - 99999939)**2
Let 2*o**2/13 - 2092*o/13 - 271200 = 0. Calculate o.
-904, 1950
What is g in -3*g**4 + 127530*g**3 - 43890633*g**2 - 44273238*g + 88036344 = 0?
-2, 1, 348, 42163
Suppose 34*x**5/9 + 18118*x**4/9 - 8378*x**3 - 118846*x**2/9 + 197576*x/9 - 7160/3 = 0. What is x?
-537, -2, 2/17, 1, 5
Factor -4*j**4 + 143376*j**3.
-4*j**3*(j - 35844)
Let -13*d**5 + 23106*d**4 - 215923*d**3 + 401406*d**2 - 123760*d = 0. Calculate d.
0, 5/13, 2, 7, 1768
Suppose -6*o**4/23 + 4732*o**3/23 - 230054*o**2/23 + 1168328*o/23 - 29480 = 0. Calculate o.
2/3, 5, 46, 737
Suppose b**5 + 513*b**4 - 101008*b**3 + 591564*b**2 - 783216*b = 0. Calculate b.
-666, 0, 2, 4, 147
Factor h**2/7 + 541655300*h/7 + 73347616004522500/7.
(h + 270827650)**2/7
Determine k so that 2*k**5/5 - 1212*k**4/5 + 225522*k**3/5 - 12887792*k**2/5 + 277444992*k/5 - 402564096 = 0.
19, 40, 264
Solve -5*a**3 + 11520*a**2 - 8681985*a + 2149492410 = 0.
663, 978
Factor 11148825744*s**2 - 211176*s + 1.
(105588*s - 1)**2
Solve -q**2/4 + 440313*q - 193875537969 = 0.
880626
Determine a so that 4*a**5/9 + 116*a**4 - 16060*a**3/9 - 182548*a**2/9 - 95480*a/3 + 484000/9 = 0.
-275, -5, -4, 1, 22
Suppose 3*d**3/5 - 123*d**2/5 + 1584*d/5 - 1296 = 0. Calculate d.
9, 12, 20
What is o in o**3/2 + 16418*o**2 + 164155*o/2 = 0?
-32831, -5, 0
Factor -4*i**3/7 + 11308*i**2/7 - 67740*i/7 + 14508.
-4*(i - 2821)*(i - 3)**2/7
Determine v so that 2*v**5 - 1474*v**4 + 24674*v**3 - 140094*v**2 + 298332*v - 181440 = 0.
1, 3, 6, 7, 720
Factor -v**2/2 + 3531*v/2 + 17705.
-(v - 3541)*(v + 10)/2
Factor -r**2 + 218040*r - 3706391.
-(r - 218023)*(r - 17)
Solve -3*x**3/7 - 18221184*x**2/7 = 0.
-6073728, 0
Find y such that 3*y**3 - 6804*y**2 + 40311*y + 916110 = 0.
-9, 15, 2262
Factor 3*f**3 - 111963*f**2 + 1141697937*f - 1766839100625.
3*(f - 17723)**2*(f - 1875)
Find v such that -2*v**2 - 19765284*v = 0.
-9882642, 0
Suppose -204*i**3/5 - 4021256*i**2/5 + 19953644*i/5 + 157736 = 0. Calculate i.
-19717, -2/51, 5
Factor -9*b**2/4 + 700500*b + 467001.
-3*(b - 311334)*(3*b + 2)/4
Determine l so that -49*l**3/5 - 54908*l**2 + 313808*l/5 - 89664/5 = 0.
-5604, 4/7
Find v, given that v**2/4 + 8037894*v + 64607739955236 = 0.
-16075788
Factor -f**2/5 + 5598756*f/5 - 7836517186884/5.
-(f - 2799378)**2/5
Let 22*s**5/3 - 2006*s**4/3 + 50590*s**3/3 - 220090*s**2/3 + 201068*s/3 - 29584/3 = 0. Calculate s.
2/11, 1, 4, 43
Solve -2*l**2/7 - 1534*l/7 - 31976 = 0 for l.
-571, -196
Factor -3*j**2/5 + 1734732*j/5 - 1734717.
-3*(j - 578239)*(j - 5)/5
Suppose 14*i**4/15 - 2246*i**3/5 + 234936*i**2/5 - 12975208*i/15 + 1216608/5 = 0. What is i?
2/7, 23, 116, 342
Determine f, given that -6*f**4 + 17822384*f**3 + 47526394*f**2 + 17822404*f - 11881600 = 0.
-2, -1, 1/3, 2970400
Determine u, given that -14*u**5 + 1648*u**4 + 16110*u**3 + 50360*u**2 + 55784*u + 12192 = 0.
-4, -3, -2, -2/7, 127
Find c, given that -c**3 + 331364*c**2 + 994101*c = 0.
-3, 0, 331367
What is a in 2*a**5 + 5683*a**4 - 5359128*a**3 - 8051473*a**2 - 2840*a + 2683824 = 0?
-3588, -1, 1/2, 748
Factor -4*v**2 + 411268032*v - 10571337134072064.
-4*(v - 51408504)**2
Determine u so that 2*u**2 - 15834*u + 473220 = 0.
30, 7887
Suppose -g**4/2 + 991*g**3 - 17634*g**2 - 82444*g - 86416 = 0. Calculate g.
-2, 22, 1964
Suppose 9715*z**3 + 447175*z**2 + 13110*z = 0. What is z?
-46, -57/1943, 0
Let 6*v**4/7 - 426*v**3/7 - 4938*v**2 + 4998*v = 0. Calculate v.
-49, 0, 1, 119
Let -2*a**4/7 + 2956*a**3/7 - 1434962*a**2/7 + 36181440*a - 2097446400 = 0. Calculate a.
144, 595
Find q, given that -2*q**4/13 + 61228*q**3/13 - 474790506*q**2/13 + 94301288360*q/13 + 190502228600/13 = 0.
-2, 206, 15205
Find n, given that -5*n**2 - 752890*n - 2258625 = 0.
-150575, -3
Factor k**3/5 + 36236*k**2/5 - 36237*k/5.
k*(k - 1)*(k + 36237)/5
Solve -w**3/5 + 18041*w**2/5 + 469573*w/5 + 3053323/5 = 0 for w.
-13, 18067
Factor 2*p**2/9 - 5862886*p/9 + 5862880/3.
2*(p - 2931440)*(p - 3)/9
What is b in b**4 + 17286998*b**3 + 99613444808664*b**2 + 191335379701613127712*b + 382670360949585316736 = 0?
-5762332, -2
Factor -d**2/2 - 25531*d/2 - 1094135.
-(d + 86)*(d + 25445)/2
Factor u**3/3 - 3063*u**2 + 6633626*u/3 + 4434672.
(u - 8399)*(u - 792)*(u + 2)/3
Factor -3*w**2 - 1324680*w + 7948188.
-3*(w - 6)*(w + 441566)
Let -4*i**5/7 - 1084*i**4/7 + 35704*i**3/7 - 17888*i**2 = 0. Calculate i.
-301, 0, 4, 26
Determine r, given that 2*r**3 - 3426*r**2 - 238260*r - 462800 = 0.
-65, -2, 1780
Determine w so that -2*w**2/5 + 784766*w/5 = 0.
0, 392383
Factor -2*s**3 - 15188*s**2 + 810018*s - 4312908.
-2*(s - 47)*(s - 6)*(s + 7647)
Let 3*j**3 + 33225*j**2 - 66462*j = 0. What is j?
-11077, 0, 2
Let -2*x**5/21 - 26*x**4/3 + 159070*x**3/21 - 317210*x**2/21 - 22724*x/3 + 317392/21 = 0. What is x?
-332, -1, 1, 2, 239
Suppose -v**3/3 + 2117*v**2/3 + 34640*v = 0. Calculate v.
-48, 0, 2165
Determine r, given that -4*r**3 + 18700*r**2 - 2024576*r - 8397760 = 0.
-4, 115, 4564
Factor w**2/9 + 3235*w/3 - 5705116/9.
(w - 556)*(w + 10261)/9
Let -1934*y**2 - 73507*y - 570 = 0. What is y?
-38, -15/1934
What is i in -369569196700707*i**2/5 + 399567132*i - 540 = 0?
30/11099087
What is v in 279*v**4/8 + 30409*v**3/8 - 471061*v**2/4 - 241321*v/2 + 871 = 0?
-134, -1, 2/279, 26
Determine q so that -4*q**4 - 5774788*q**3 - 2084235041020*q**2 + 18758583129924*q = 0.
-721853, 0, 9
Suppose -2*r**4/11 - 158*r**3/11 + 11048*r**2/11 + 148352*r/11 + 407040/11 = 0. What is r?
-120, -8, -4, 53
Factor -143*j**3 - 200483*j**2 - 70266137*j + 1474203.
-(j + 701)**2*(143*j - 3)
Suppose -6*s**5 - 281500*s**4 + 656866*s**3 - 8*s**2 - 375352*s = 0. What is s?
-46919, -2/3, 0, 1, 2
Solve 2*d**3/9 + 84*d**2 - 10022*d/3 + 267260/9 = 0.
-415, 14, 23
Let 3*v**2 + 2194674*v + 21946440 = 0. Calculate v.
-731548, -10
Determine w so that -4*w**5/5 + 1564*w**4/5 - 106564*w**3/5 - 306092*w**2/5 + 5958008*w/5 + 6155968/5 = 0.
-8, -1, 7, 91, 302
Solve 3*v**3/2 + 177159*v**2 + 708618*v + 708612 = 0.
-118102, -2
Suppose y**5/2 + 11*y**4 + 109*y**3/2 - 356*y**2 - 3872*y - 8960 = 0. What is y?
-8, -5, 7
Factor d**2/4 - 56743*d/4 - 85119/2.
(d - 56746)*(d + 3)/4
Let 2*f**3/11 - 437606*f**2/11 + 160835872*f/11 - 14790670720/11 = 0. Calculate f.
184, 218435
Factor -5*u**3 + 1625*u**2 + 251870*u + 497200.
-5*(u - 440)*(u + 2)*(u + 113)
Solve -40695*q**2 - 103324565*q + 101560 = 0 for q.
-2539, 8/8139
Solve 3*g**2/5 + 16435158*g/5 - 98611056/5 = 0.
-5478392, 6
Factor -t**2 - 234283*t.
-t*(t + 234283)
Let -20*o**4 + 5632*o**3 - 349164*o**2 + 205232*o + 138320 = 0. Calculate o.
-2/5, 1, 91, 190
Find n such that -2*n**2/5 - 8216*n/5 - 7009782/5 = 0.
-2899, -1209
Solve 4*d**2/3 - 146459*d/3 + 36614 = 0 for d.
3/4, 36614
Find p such that 15*p**4 + 392301*p**3 - 1412577*p**2 - 2589573*p - 784710 = 0.
-26157, -1, -2/5, 5
Determine o so that 4*o**4 - 44152*o**3 + 131664*o**2 + 8347320*o - 53630100 = 0.
-15, 9, 11035
What is k in 33*k**4 + 1488*k**3 - 21381*k**2 + 58236*k + 5472 = 0?
-57, -1/11, 4, 8
Factor -2*o**2/7 + 229910*o/7 + 229912/7.
-2*(o - 114956)*(o + 1)/7
Let 2*o**5/3 + 8536*o**4/3 - 380522*o**3/3 - 4597384*o**2/3 - 1137720*o + 2794176 = 0. What is o?
-4312, -9, -2, 1, 54
Let 11*m**5 + 1519*m**4/2 - 9985*m**3/2 - 12007*m**2/2 - 525*m/2 = 0. What is m?
-75, -1, -1/22, 0, 7
Determine o, given that 2*o**5 + 182*o**4 + 4566*o**3 + 19834*o**2 + 30208*o + 14760 = 0.
-45, -41, -2, -1
Factor -2*w**2/15 - 345966*w/5.
-2*w*(w + 518949)/15
Find a such that -12*a**4/5 + 1161927*a**3/5 + 3195402*a**2/5 - 232380*a - 1161960 = 0.
-2, 5/4, 96830
Let 3*n**2 - 98372859*n + 98372856 = 0. What is n?
1, 32790952
What is w in -2*w**5/11 - 940*w**4/11 - 105912*w**3/1


 + 3*o - o)*(-3*o - 2*o + 3*o) - o**2 - 4*o**2 + 4*o**2 - 22*o**2 - 5*o**2 + 12*o**2 to the form a*o**2 + h + n*o and give a.
-18
Rearrange 47*f**4 + 51*f**4 + 1 - 24*f**4 - f**2 + 246*f - 246*f to the form v*f**2 + u*f**4 + r*f**3 + p*f + m and give u.
74
Express -4*w**4 + w + 515*w**3 + 3*w**2 - 1 + 4*w**2 - 519*w**3 - 5*w**2 as b*w**2 + y*w**4 + l*w + g + c*w**3 and give c.
-4
Rearrange (7 - 21*d - 7)*(0 + 4 - 2)*(4 - 1 - 2) to the form g*d + u and give g.
-42
Rearrange (207*g**2 - 128*g**2 + 204*g**2)*(-6 + 3 + 1)*(2*g - 4*g + g) to l + n*g + s*g**3 + v*g**2 and give n.
0
Rearrange j**4 + 20*j**2 + 2 - 3*j**4 - 20*j**2 + 10*j - j**4 + 2*j**3 to r*j**4 + q*j**3 + m*j + g + h*j**2 and give q.
2
Rearrange 191 + 46*y - 386 + 216 - 6*y + 0*y to l*y + x and give l.
40
Express (0 + 5 + 3)*(4*t**2 - 4*t**2 + t**2)*(109*t - 56*t - 56*t) as m*t**3 + q*t**2 + j + l*t and give l.
0
Express (-6 + 2 + 1)*(14*v**2 - 8*v**2 + 5 - 9*v**2) as w*v**2 + u*v + t and give u.
0
Rearrange (n - n - 2*n)*(-1209 + 609 + 604 + 162*n**2) to the form g + f*n**3 + i*n**2 + k*n and give k.
-8
Express -7*q + 3 - 9*q + 34*q - 5*q in the form a*q + b and give a.
13
Express -123*y**3 + 2 - 2*y**4 + 245*y**3 + 94*y - 19*y - 122*y**3 as o + f*y**2 + k*y + z*y**3 + w*y**4 and give f.
0
Express -6 + 6*q**2 + 33*q**3 + 0*q**2 - 27*q**3 + 9 as z*q + y + g*q**3 + h*q**2 and give y.
3
Rearrange 1270 - 1349*l - 638 - 632 to the form f + q*l and give q.
-1349
Rearrange (15*d + 5057 - 5057)*(5 - 5 + 2)*(32*d**2 + 21*d**2 - 14*d**2) to c + h*d + q*d**2 + v*d**3 and give v.
1170
Express -27 + 168 - 2*g**2 - 32 - 46 - 40 in the form t*g**2 + v + b*g and give v.
23
Rearrange 16*w**3 - 30*w**2 + 9*w**2 + 11*w**2 + 8*w**2 - 2 to the form q*w**2 + s*w**3 + l*w + g and give q.
-2
Express (6*h + 2 + 1 - 2)*((-2 + 2 - 1)*(-3*h + 6*h - 4*h) + 2*h + 36 - 36 + 2*h - 3*h + 2*h) as a + k*h + q*h**2 and give a.
0
Express (13 - 13 - 6*g)*(4 - 4 - 8*g**2 - 13*g**2) in the form u + h*g + v*g**2 + w*g**3 and give w.
126
Express (34 - 5 + 97)*(4 + 0 - 5)*(-p + p - p) in the form d + h*p and give h.
126
Express -4 + d - 3 + 6 - 3*d**3 - 22*d**4 + d**3 in the form u*d**3 + q*d + h + w*d**2 + v*d**4 and give q.
1
Express (-30 - 5*a + 30)*(6*a - 3*a - 4*a) - 2*a**2 + 5*a**2 - 2*a**2 - 153*a**2 + 80*a**2 + 64*a**2 - 18*a in the form h + p*a**2 + l*a and give l.
-18
Express -a**2 + 2*a - 4*a - 228*a**4 + a**3 - a + 216*a**4 as j*a**2 + y*a + w*a**4 + i + h*a**3 and give j.
-1
Express (4*p**2 + p**2 - 2*p**2)*(-1 - 14 - 1) + 1 + 3*p**2 + 2*p**2 - 2*p**2 as y*p + i + s*p**2 and give s.
-45
Express r**4 + 3*r**4 - 3*r**4 - 4*r**4 - 3*r + 37*r**3 in the form k*r**3 + t*r + n*r**2 + o + g*r**4 and give t.
-3
Rearrange (2 - 1 + 0)*(-5399*w**4 - 819*w + 819*w - 1691*w**4) to the form f*w**4 + x*w**2 + d + n*w**3 + t*w and give f.
-7090
Rearrange (1 - 1 + 2*q)*(0*q + q + 2*q) + 0*q**2 + q**2 - 2*q**2 - 98*q**2 + 36*q**2 + 48*q**2 to the form g*q + z + d*q**2 and give d.
-9
Express (-463 + 188 + 227)*(-2*w - 3*w + 6*w) as x + t*w and give t.
-48
Rearrange 2*p - 69 - 3*p + 3*p - 146 + p to the form h*p + u and give h.
3
Rearrange -14 - 13*z + 5*z + 20 - 13*z to p + s*z and give s.
-21
Rearrange -143*n - 128*n + 396*n to the form p*n + r and give p.
125
Express 6*s - 8*s + 4*s**3 - 2*s**2 - 7*s**3 - 8 in the form z + h*s**3 + r*s**2 + c*s and give r.
-2
Rearrange (5577 - 429 + 4417 + 3243)*(2*l**3 + l**3 - l**3)*(2*l + 0*l + 0*l) to c*l**3 + m*l**2 + n*l + b*l**4 + o and give b.
51232
Express 9 + 16 - 932*q + 20 - 45 in the form i + u*q and give u.
-932
Rearrange (-2*t**3 + t**3 - t**2 + 0*t**2)*(-3 + 2 + 0)*(7 + 4 + 22 + t) to k*t**4 + h + w*t + q*t**3 + u*t**2 and give q.
34
Express (-35*l + 16*l - 106*l)*(7 + 1 + 4) in the form z*l + k and give z.
-1500
Rearrange (-4*o + 5*o - 3*o)*(2*o + 0 + 0) - 12 + 12 + o**2 + 0*o**2 + 4*o**2 - 3*o**2 to the form b*o + x + k*o**2 and give k.
-2
Rearrange 2*z**4 - 33*z**3 + 39*z**3 - 4*z**4 - 12*z**3 - 6 to the form v*z**4 + k + d*z**3 + f*z + r*z**2 and give k.
-6
Rearrange (876 + 810 - 205 - 20)*(2*g + 3*g - 3*g) to the form p*g + s and give p.
2922
Express -354*t**3 - 37*t**4 + 354*t**3 + (-4 - 1 + 4)*(2*t**4 - 10*t**4 - t**4) in the form v + i*t**3 + j*t**4 + r*t**2 + q*t and give j.
-28
Express 13*v + 13*v - 27*v + (-3*v - 3*v + 7*v)*(-2 + 5 + 20) as j*v + d and give j.
22
Express (4*g + 2*g - 8*g)*((-3 + 3 - 3)*(2 + 4 - 3) - 1 + 0 + 3) + (-2 + 3 + 0)*(13*g - 3*g - 2*g) in the form w*g + p and give w.
22
Rearrange -95*z**2 - 32*z**3 - z - 96*z**2 + 192*z**2 to x*z**3 + r*z + d + y*z**2 and give x.
-32
Rearrange a**4 + 2*a - 8 + 9 + 0*a - a**3 + a**3 + 2*a**3 to the form y*a**4 + o*a + r*a**2 + h + b*a**3 and give b.
2
Express -229*w**2 - 74*w**2 - 97*w**2 + 76*w**2 - 4*w**2 in the form p*w**2 + h + q*w and give p.
-328
Rearrange -2*j**3 - 14*j - 251 - 3*j**3 + 4*j**2 + 251 + j**3 to u*j + o*j**2 + q*j**3 + f and give u.
-14
Rearrange n + n - 4*n + (16 - 13 + 11)*(1 - 1 - 2)*(2 - 2 + n) to y*n + c and give c.
0
Express -3*h**2 + 5*h**2 - h**2 + (-8*h**2 + 16*h**2 + 34*h**2)*(1 - 2 - 2) + 9*h - 9*h - 3*h**2 in the form n*h**2 + r + a*h and give n.
-128
Rearrange -126*d**2 - 49*d**2 + 39*d**2 + 2 - 2 to the form s*d**2 + x*d + f and give s.
-136
Express -2537*i + 2538*i - 79 - 3*i**2 + 5*i**2 as o + w*i + x*i**2 and give x.
2
Rearrange 48 + 23 - 71 + 1345*n + (1 - n - 1)*(-2 - 2 + 6) to r*n + b and give r.
1343
Express -147*y**2 + 89*y**2 - 336*y**2 as q + v*y + o*y**2 and give o.
-394
Rearrange (1726 + 275*f - 1726)*(-2 + 1 - 3) to the form j + c*f and give c.
-1100
Express 9 + 3*q**2 - 5*q**2 + 320*q**4 + 13 - 321*q**4 - 6*q as k + u*q**3 + t*q**2 + z*q + g*q**4 and give k.
22
Rearrange (9 - 24 + 36)*(j**2 - 4*j**2 - 2*j**2)*(2*j - 3*j + 5*j) to s*j + m*j**3 + a + x*j**2 and give m.
-420
Express -7 - 4*k**2 + 15 - 5 - 1 - 167*k**3 as o + f*k + i*k**3 + s*k**2 and give s.
-4
Rearrange 402*u**2 - 1001*u**2 - 3*u**3 + 510*u**2 to m*u + v*u**3 + j + r*u**2 and give v.
-3
Express m**3 - m**2 + 4*m**2 - 5*m**2 + (-428*m - 20*m**2 + 428*m)*(m - m + 2*m) as g*m + f*m**3 + z*m**2 + n and give z.
-2
Express 2*a - 28*a**3 - 7 - 1 + 7*a**3 + 26*a**3 + a**2 in the form f*a**3 + l*a + h + t*a**2 and give l.
2
Express (p + 6*p - 4*p - 1)*(3 - 2 + 2)*(-29*p - 6*p - 9*p) in the form q*p**2 + s + i*p and give q.
-396
Express (-4*n + 3*n + 2*n)*(35 + 9 - 5)*(6*n + 2*n + n - 2) as t*n + y + u*n**2 and give t.
-78
Rearrange (3*b + 8*b + 12 - 2*b)*((-2 + 5 - 5)*(0 + 1 - 3) + 2 + 2 - 3 + 1 - 3 + 1)*(-1 - 4 + 3) to the form u*b + d and give u.
-72
Express ((-2 + 1 + 2)*(-2*n + 0*n + 0*n) + 2*n - 2*n - n)*(-8*n + 6*n + 0*n)*(2 - 5 + 2 + (3 + 0 + 0)*(-2 + 3 + 1)) as d*n + v*n**2 + p and give v.
30
Express -u**4 + 5 - 23*u**2 + 2*u**4 - 22 + 10 + 10 as m*u + i*u**3 + z + y*u**4 + g*u**2 and give g.
-23
Express 2316*j + 215*j**2 + 743*j**2 - 2318*j as p*j**2 + u*j + g and give u.
-2
Express 1 + 32*m - 49*m - 90*m as b + r*m and give r.
-107
Rearrange (11*x**4 - 46*x**4 - 26*x**4)*(7 - 2 - 3 + (-5 + 0 + 3)*(-1 + 4 - 1)) to y*x**4 + l*x**3 + r*x + k*x**2 + s and give y.
122
Rearrange -4*v - 2*v**4 - 26*v**2 + 3*v + 3*v**4 + 2*v**3 - 6 + 34*v**2 + 0 to b*v**3 + j*v + r + m*v**4 + u*v**2 and give m.
1
Express -341*z - 4406 + 4406 as n + h*z and give n.
0
Rearrange -9*y**2 - 3*y - 13*y + 4*y + 3*y + 6*y to o*y + x*y**2 + r and give o.
-3
Express 14*v**2 - 206*v**2 - 51*v**2 - 81*v**2 - 224*v**2 as o + r*v + j*v**2 and give j.
-548
Express ((18 + 2 - 7)*(2 + 2 - 5) - 142 + 68 + 71)*(4*l - 3*l + l) in the form a*l + i and give a.
-32
Rearrange -2 + 4*q**2 - 11*q**2 - 23*q**2 to the form y*q + p*q**2 + i and give p.
-30
Express -28*x**2 - 2*x**3 + 156 + x - 4*x - 157 + x**4 in the form h*x**3 + a + o*x**2 + f*x + t*x**4 and give h.
-2
Express (2*p + 2*p + 3*p)*((0 + 2 + 0)*(4*p + 0*p - 2*p) + (3 - p - 3)*(-1 + 0 + 2)) in the form m*p + c*p**2 + z and give m.
0
Rearrange -12 - 871*a + 1 + 3 - 1 + 8 to the form g*a + p and give g.
-871
Rearrange 5*m + 4 + 0*m + 3 - 4*m to f + h*m and give f.
7
Express (9 + 11 + 15)*(26*f + 30*f - 4*f) as x*f + p and give x.
1820
Rearrange (7 + 1 - 2)*(-3*g + 3*g + 2*g + (0*g - g + 2*g)*(0 + 0 + 4)) to the form c + a*g and give a.
36
Rearrange (4 + 10 + 1)*(0 - 4 + 2)*(-2*t**2 +


 Let l = w + x. What is l rounded to the nearest 1000000?
4000000
Let h = 794164 + -794146.999825. Let d = -17 + h. What is d rounded to 5 dps?
0.00018
Let h = 126 + -126.162. Let n = h + -98.838. Let m = n - -99.0000073. What is m rounded to 6 decimal places?
0.000007
Let u = 796.0383 + -796. What is u rounded to three dps?
0.038
Let j = -81.104 + -261730.896. Let b = j - -261802.99954. Let q = -9 - b. Round q to four dps.
0.0005
Let q be ((-1485)/(-2) + 2)*2. Suppose 5689 = -v + q. Round v to the nearest one thousand.
-4000
Let l = -2883026907098201 + 2883026882708410.49000089. Let h = -24389791 - l. Let s = -0.49 - h. Round s to 7 decimal places.
0.0000009
Let t = -1.52 + 1.52000087. What is t rounded to 7 dps?
0.0000009
Let a = -11.13 + 11. Let q = -0.06 - a. Round q to 1 dp.
0.1
Suppose u + k - 292 = -4*k, -902 = -3*u - 2*k. What is u rounded to the nearest one hundred?
300
Let b(p) = 233*p**3 + 10*p**2 + 8*p. Let y be b(8). What is y rounded to the nearest ten thousand?
120000
Let d = 0.1 + 0. Let t = 35250 + -35250.099995. Let g = d + t. Round g to 5 decimal places.
0.00001
Let g = 0.39 - 0.58. Let z = 0.06 + g. Round z to one dp.
-0.1
Let j be 3/18*-3*8 - 1158. Round j to the nearest 100.
-1200
Let s = -44 + 65. Let m = 22.8 - s. Let y = 1.7999916 - m. What is y rounded to six dps?
-0.000008
Suppose 25 = 2*z + 3*z. Suppose 0 = -s - 2*f - 196372 - 43628, 0 = z*s - 4*f + 1200000. What is s rounded to the nearest one hundred thousand?
-200000
Let m(a) = 848*a**2 + 8*a + 84. Let t be m(-9). Round t to the nearest 10000.
70000
Suppose 2*v - 4*v = -4. Let c(f) = 4150001*f - 2. Let z be c(v). Round z to the nearest one million.
8000000
Let v = 114.4 + -100. Round v to zero decimal places.
14
Let y = 11 - 15.8. Let s = 3 + -1.1. Let w = s + y. Round w to the nearest integer.
-3
Suppose -5*m + 3967 - 467 = 0. Suppose -2*x - 3*x - m = 0. Round x to the nearest 100.
-100
Let j = 0.53 - -4.07. Let i = 16.8 - j. What is i rounded to zero dps?
12
Let j = -5978544389.99999973 - -5978544348. Let n = 42 + j. Round n to seven dps.
0.0000003
Let u = -11 + 10.854. Round u to 2 decimal places.
-0.15
Suppose -x - 67624 - 46376 = 0. Round x to the nearest ten thousand.
-110000
Let t = -748 + 513. Let d = 234.999831 + t. Round d to five dps.
-0.00017
Let p = -0.200224 - -0.2. What is p rounded to five decimal places?
-0.00022
Suppose 2*l - 4*l = -4*k - 4, -2*l = 5*k + 5. Suppose -6*y + 2*y - 16 = l, n - 4*y + 14984 = 0. Round n to the nearest ten thousand.
-20000
Let q = 4007968303.00000094 + -4007968252. Let m = q + -51. Round m to seven dps.
0.0000009
Let l = -3 - -3. Let v be (l + 490)/(3/(-600)). What is v rounded to the nearest ten thousand?
-100000
Let f = 108.00196 - 108. Round f to four dps.
0.002
Let h = -62.6574559 + 348303756.6574559. Let d = 348303683.69999894 - h. Let z = d - -10.3. What is z rounded to seven dps?
-0.0000011
Let h = 187.8231983 + -187.7132. Let a = h + -0.11. Round a to six dps.
-0.000002
Let x = 0.13 - -2.87. Let a = -2.7 + x. Round a to one decimal place.
0.3
Let h(n) = -n**3 - 2*n**2 + 2. Let z be h(-2). Suppose -4 = 4*d + 4*x, -z*x - 4 = 2*x. Suppose 0*g - 2*g + 48000 = d. Round g to the nearest ten thousand.
20000
Let d = -34.0000063 - -34. What is d rounded to 6 dps?
-0.000006
Let p(a) be the first derivative of -7*a**2/2 + 7*a - 4. Let h be p(5). What is h rounded to the nearest ten?
-30
Suppose -m = -4*k + 1 - 6, -m - 9 = 3*k. Let a be ((-4)/3)/(k/3). Let j be 300000*((-336)/(-9) - a). Round j to the nearest 1000000.
11000000
Let y = 0.0881 - 0.0881381. What is y rounded to five dps?
-0.00004
Let k = 120 - 119.524. Let v = k + 0.064. What is v rounded to one decimal place?
0.5
Let q be 0 + 2 - (-1540001 - 2). Suppose -g + 1 = -0*g, -2*v + 5*g - q = 0. Round v to the nearest 100000.
-800000
Let a(k) = -5199*k**3 + 19*k**2 - 3*k - 16. Let q be a(-16). Round q to the nearest 1000000.
21000000
Let n = 14.5 - 2.4. Let x = -0.982 - 10.548. Let h = x + n. Round h to 1 decimal place.
0.6
Let m = -261791 - -1361791. Round m to the nearest one million.
1000000
Let f = -0.03766 - -0.035. Round f to 3 decimal places.
-0.003
Let a(f) = 13*f**2 - 3*f - 5. Let q be a(-5). Let i = -1835 + q. What is i rounded to the nearest one thousand?
-2000
Let j = 1 + 3. Let n = 4.5 - j. Let q = -0.4999925 + n. Round q to six dps.
0.000008
Let k = 17 + 0. Let b = -16.999895 + k. Round b to five decimal places.
0.00011
Suppose -n = -5*c + 3*c - 4, 3*c + 9 = 3*n. Let v = 5 + c. Suppose 1474 = v*x - 3*x - 4*k, 2*k + 2 = 0. Round x to the nearest one hundred.
1500
Let m = -20594 + 66094. Round m to the nearest 10000.
50000
Let a(g) = 2*g - 3. Let h be a(3). Suppose -v = h*v. Let n be (v + (-158)/4)*2. Round n to the nearest ten.
-80
Let j(a) = -a**3 - 4*a**2 + 6*a + 7. Let c be j(-5). Suppose 3*i + 15 = -3*h, c*h = -i + 3*i + 10. Let l be -4*(28 - 2) + h. Round l to the nearest 10.
-100
Let u = 5.1 + -5.99. Let m = u + 0.8974. Round m to three decimal places.
0.007
Let w = 2.3 + -4.1. What is w rounded to one decimal place?
-1.8
Let z = -12.4 + 14. Let n = 1.596 - z. Round n to two decimal places.
0
Let f(h) = 406*h**2 + h + 9. Let p be f(-3). Round p to the nearest one hundred.
3700
Suppose 0 = 3*l - 2015222 - 3384778. Round l to the nearest one million.
2000000
Suppose 13291580 = -3*v - 12460072. Let h = 2983884 + v. What is h rounded to the nearest one million?
-6000000
Let d be 19501 + (1 - 0)/(-1). Let v be (-800)/(39003/d + -2). Round v to the nearest one million.
-5000000
Let g = 14 - 23. Let o = 3 + g. Let h = o + 6.00000024. What is h rounded to seven dps?
0.0000002
Let g(u) = 12448*u**2 - 6*u + 6. Let d = -16 + 9. Let z be g(d). Round z to the nearest one hundred thousand.
600000
Let j(c) = -1023*c**3 - 6*c**2 + 7*c - 10. Let p be j(5). Round p to the nearest ten thousand.
-130000
Let k = 29 - 104. Let d = -76.64 - k. What is d rounded to 1 dp?
-1.6
Let l = 564689189 - 564689213.9999987. Let x = l + 25. Round x to six decimal places.
0.000001
Let u = -404.854 - -0.854. Let o = u + 161. Let t = o - -242.999899. Round t to five decimal places.
-0.0001
Let k(a) = 6979*a**2 - 4*a + 1. Let z be k(3). What is z rounded to the nearest 1000?
63000
Suppose -2*z + 36156 = -6*z. Let k be (19039/(-2))/((-1)/(-2)). Let c = z - k. What is c rounded to the nearest 10000?
10000
Let g = -89.99999941 - -90. What is g rounded to 7 decimal places?
0.0000006
Let i = -5.449 - -0.049. What is i rounded to zero decimal places?
-5
Let r = -37.1459332 - -0.1454032. Let j = -0.064 - -37.064. Let g = j + r. Round g to four dps.
-0.0005
Let w = 0.85 + -0.456. Let r = -0.44 + w. What is r rounded to 2 dps?
-0.05
Let k = -70 - -70.00106. What is k rounded to 4 dps?
0.0011
Let x(m) = -3*m. Let l be (-3)/(-3)*-1*1. Let a be x(l). Suppose 3*n - a*t = 71994, -8 = -5*t + 2. Round n to the nearest ten thousand.
20000
Let d = -16 - -9. Let u = d + 6.995. Round u to two dps.
-0.01
Let a = -0.652 + 0.7. Let k = a - 0. What is k rounded to two dps?
0.05
Let f = 4 + -4. Suppose f = 2*a - 5*h - 16, 3*h - 7*h = 8. Suppose -a*i = -0*i - 27. Round i to zero decimal places.
9
Let c(p) = 3 + 818*p - 5 + 0. Let y be c(-11). What is y rounded to the nearest 10000?
-10000
Let f = -100 + 60. Let n = f - -100. Let c = n + -60.0051. Round c to three decimal places.
-0.005
Let q = 3 - 2. Let v = 5 - q. Let m = v + -4.00003. Round m to four dps.
0
Let c(r) = 102*r - 2. Let q be c(1). What is q rounded to the nearest one thousand?
0
Let x = -9 + 5. Let c = 4.000058 + x. What is c rounded to 5 dps?
0.00006
Suppose 2*b - 4*m = -18, 0*b - m - 27 = 3*b. Let f be -186*(6000/b)/4. What is f rounded to the nearest 10000?
30000
Let d be (-2 + -10)/((-2)/228533). Let w = d + -5971198. What is w rounded to the nearest 1000000?
-5000000
Let i = 11338.93 + -11279. Let l = -12.97 - i. Let w = l - -69. Round w to the nearest integer.
-4
Let u = -17 + 24. Let x = 9.5 + -23.2. Let c = u + x. What is c rounded to 0 decimal places?
-7
Let q = 5 + 1. Suppose 4*h - 4*k - 20 = 0, -17 = h - q*h + k. Suppose 0 = 3*o + h*v - 27, 4*o + 0*v + v - 27 = 0. Round o to the nearest 10.
10
Suppose -2*b = -y - 3*y + 28, -3*b - 33 = -5*y. Let f(m) = m + 11. Let h be f(0). Suppose -h = d + y. What is d rounded to the nearest 100?


/3
Let s = 16 + -8. What is b in 7*b**3 - 3*b**3 + s*b**4 - 3*b**2 - 2*b**4 + b**2 = 0?
-1, 0, 1/3
Let a(k) be the third derivative of k**5/300 - 13*k**4/120 + 2*k**3/5 + k**2 + 184. Factor a(f).
(f - 12)*(f - 1)/5
Let b(s) = 6*s**2 + 322*s - 322. Let q(i) = -19*i**2 - 969*i + 967. Let d(z) = -7*b(z) - 2*q(z). Solve d(m) = 0.
-80, 1
Let t = 347 + -345. Let r(u) be the first derivative of -u**t - 1/2*u**4 + 0*u + 8 - 4/3*u**3. Let r(k) = 0. Calculate k.
-1, 0
Let s = -877 + 886. Let a(z) be the first derivative of -3/4*z**4 + s*z - 21/2*z**2 - 6 - 17/3*z**3. Find o such that a(o) = 0.
-3, 1/3
Let a(q) = 17*q**2 - 242*q + 1521. Let s(d) = -6*d**2 + 81*d - 507. Let u = -7 - -4. Let z(g) = u*a(g) - 8*s(g). Factor z(t).
-3*(t - 13)**2
Let l(y) = -2*y**2 - 2*y + 27. Let i be l(-4). Let b(h) be the first derivative of 1/3*h**i + 0*h - 2 - 1/4*h**4 + 0*h**2. Find r, given that b(r) = 0.
0, 1
Factor 3/2*h**2 - 1/2*h**4 + 0*h**3 - h + 0.
-h*(h - 1)**2*(h + 2)/2
Let g(c) be the third derivative of -37*c**2 + 0 + 0*c + 1/12*c**5 + 35/6*c**3 + 5/3*c**4. Let g(u) = 0. What is u?
-7, -1
Suppose 2*m = -23*k + 25*k - 10, -4*k = -3*m - 17. Solve 4/7*w**k + 8/7*w + 0 = 0.
-2, 0
Let s(b) be the third derivative of b**6/420 + b**5/15 + 25*b**4/84 + 4*b**3/7 - b**2 + 7. Determine l so that s(l) = 0.
-12, -1
Let l(c) = c**3 - c**2 - c + 1. Suppose 10*k - 2 - 178 = 0. Let p(i) = -i**4 - 6*i**2 + 16*i - 9. Let z(u) = k*l(u) + 2*p(u). Find b such that z(b) = 0.
0, 1, 7
Let i(g) be the first derivative of -g**6/15 - 58*g**5/25 - 27*g**4/10 + 58*g**3/15 + 28*g**2/5 + 258. Find b, given that i(b) = 0.
-28, -1, 0, 1
Let n(o) be the second derivative of 3*o**6/2 - 3*o**5 - 40*o**4/3 + 40*o**3 - 40*o**2 - 3*o + 12. Factor n(m).
5*(m - 2)*(m + 2)*(3*m - 2)**2
Let s be 260/78*(3 - (-27)/(-15)). Let c(q) be the second derivative of 3/34*q**s + 1/17*q**2 + 2*q + 2/255*q**6 - 5/51*q**3 + 0 - 7/170*q**5. Factor c(r).
2*(r - 1)**3*(2*r - 1)/17
Let u(d) be the first derivative of 2*d**3/3 + 8*d**2/5 + 6*d/5 + 125. Factor u(b).
2*(b + 1)*(5*b + 3)/5
Let u(v) be the first derivative of 2*v**5/25 - 156*v**4/5 + 48044*v**3/15 + 48984*v**2/5 + 49298*v/5 - 294. Factor u(z).
2*(z - 157)**2*(z + 1)**2/5
Let u be (-8)/(-3)*(0 + 9/30). Let h be 3 + (-33)/22*1*2. Let h - 2/5*d**2 + u*d = 0. What is d?
0, 2
Let d = 660 + -29698/45. Let y(h) be the first derivative of 3 - d*h**3 + 0*h + 0*h**2. Let y(i) = 0. Calculate i.
0
Suppose 3*o - 2 = 4. Factor -4 - 5*s**2 - 8*s - 2*s**3 - s**2 + o*s**4 + 18*s.
2*(s - 1)**3*(s + 2)
Suppose 3*a = 5*a - 8. Suppose -n = -a + 2. Factor -4*l - 2*l**3 - 14*l**n + 0*l - 8*l**3.
-2*l*(l + 1)*(5*l + 2)
Factor 0 - 5/6*w**2 + 5/2*w.
-5*w*(w - 3)/6
Let d = -20 - -20. Let h be (4 + -3)*(d - -4). Factor -8*f**3 - 3*f**2 + 4*f - f**2 - 4*f**4 - 2*f**h + 6*f**2.
-2*f*(f + 1)**2*(3*f - 2)
Let j(z) be the second derivative of z**9/75600 - z**8/16800 - z**7/12600 + z**6/1800 - 17*z**4/12 + 4*z. Let n(h) be the third derivative of j(h). Factor n(o).
o*(o - 2)*(o - 1)*(o + 1)/5
Let u(p) = -2*p**2 + 6*p - 1. Let l be u(4). Let k be (4/(-3))/(6/l). Let d**3 - 3*d**3 + d + k*d**2 - 2 + d**3 + 0*d = 0. What is d?
-1, 1, 2
Let w(k) be the third derivative of -k**6/2160 - k**5/144 + 31*k**3/6 + 25*k**2. Let n(z) be the first derivative of w(z). Factor n(d).
-d*(d + 5)/6
Let n be (-1)/15*3*(-80)/24. Suppose 0 = -p + 4*g + 12, -3*g - 2 = 4. Find s such that 0*s**2 - 4/3*s + n*s**p - 2/3 + 4/3*s**3 = 0.
-1, 1
Suppose 21*r = 19*r. Suppose r = -4*z + z + 33. Factor 5*x**3 + 14 - 5 - 15*x**2 + z.
5*(x - 2)**2*(x + 1)
Let o(g) be the second derivative of g**6/210 - 11*g**5/105 + 4*g**4/7 + 24*g**3/7 - 9*g**2/2 - 9*g. Let x(i) be the first derivative of o(i). Factor x(a).
4*(a - 6)**2*(a + 1)/7
Suppose -8 = -4*l + 3*d, -14 = -l - l - d. Let y(n) be the first derivative of 5*n**3 - 15/2*n**2 + l*n - 5/4*n**4 - 6. Factor y(h).
-5*(h - 1)**3
Suppose -599 = -5*b - 164. Factor -15 + 89*a + 71*a + b*a - 272*a - 5*a**2 + 5*a**3.
5*(a - 3)*(a + 1)**2
Let q be (-103)/(-7) + (3 - 6). Let j = 185/14 - q. Factor j*l**3 + 1 + 7/2*l + 4*l**2.
(l + 1)**2*(3*l + 2)/2
Let z(b) be the third derivative of -b**5/54 + 4*b**4/27 - b**3/9 + 23*b**2. Determine s, given that z(s) = 0.
1/5, 3
Let f(k) be the third derivative of -7/240*k**6 + 0*k**3 - 43*k**2 - 1/4*k**4 - 1 + 0*k + 11/30*k**5. Factor f(x).
-x*(x - 6)*(7*x - 2)/2
Let p = -20814/5 - -4163. What is n in 3/5 - 3/5*n**2 + p*n - 1/5*n**3 = 0?
-3, -1, 1
Let p(r) be the third derivative of r**6/360 + 19*r**5/90 + 40*r**4/9 - 400*r**3/9 - 85*r**2. Factor p(h).
(h - 2)*(h + 20)**2/3
Let q(k) be the second derivative of -k**5/20 + k**4/3 + k**3 - 3*k**2/2 - k. Let t be q(5). Factor -3/5*p**3 + 3/5*p**t + 3/5*p + 0 - 3/5*p**4.
-3*p*(p - 1)*(p + 1)**2/5
Suppose -42*c**5 - 800*c**2 - 527*c**2 + 16*c**4 + 128 + 463*c**2 + 456*c**3 + 160*c - 24*c**3 + 80*c**3 = 0. What is c?
-4, -2/7, 2/3, 2
Suppose 3*z**2 + 4/3*z**3 + 1/6*z**4 + 5/6 + 8/3*z = 0. What is z?
-5, -1
Suppose 0*p + l - 8 = 3*p, -5*l = p - 8. Let g be 1/(p/(-60)) + -1. Determine r so that 36 + 5*r + 0*r**2 + 4*r**2 - g*r = 0.
3
Let p(w) be the third derivative of w**6/30 - 73*w**5/60 + 3*w**4/4 + 81*w**2. Factor p(y).
y*(y - 18)*(4*y - 1)
Let a be (4/(-286))/((-167)/1837). Factor 6/13*c**2 + 0 + 2/13*c + 6/13*c**3 + a*c**4.
2*c*(c + 1)**3/13
Suppose -9*i + 677 + 403 = 0. Factor 10*a**4 - 5*a**5 + 5*a**4 + 100*a**2 - i*a**2.
-5*a**2*(a - 2)**2*(a + 1)
Let p = -3563/9 - -396. Let w(f) be the second derivative of 2/45*f**6 + 0*f**2 + 0*f**5 - p*f**4 + 0*f**3 + 0 - 2*f. Factor w(l).
4*l**2*(l - 1)*(l + 1)/3
Find l such that 51/2*l**2 - 3 - 39/2*l**3 + 39/2*l - 45/2*l**4 = 0.
-1, 2/15, 1
Let c(n) = n**3 + 5*n**2 + n - 3. Let s(z) = z**2 - 1. Let x be (-16)/(-3) - 4/(-6). Let k be x/(-4) - 132/(-8). Let t(l) = k*s(l) - 5*c(l). Solve t(o) = 0.
-1, 0
Let t = 7745/3 + -2581. Determine x, given that 0*x - t + 1/6*x**2 = 0.
-2, 2
Let f(r) = -13*r**3 - 2*r**2 - r + 2. Let l be f(1). Let p be (-8)/l - (-100)/70. Solve 6*m**4 - 7*m**p + 9*m**2 + 2*m**5 - 6*m**3 - 4*m**5 = 0.
0, 1
Let 86/5*x**2 + 6/5*x**3 + 107/5*x + 39/5 - 13/5*x**4 - 1/5*x**5 = 0. Calculate x.
-13, -1, 3
Let i(a) be the second derivative of a**5/100 - 7*a**4/60 + 4*a**3/15 + 8*a**2/5 + 80*a. Factor i(d).
(d - 4)**2*(d + 1)/5
Let b = -16 - -23. Factor 10 - 3*i**2 - 11 + b + 3*i.
-3*(i - 2)*(i + 1)
Let z(c) be the second derivative of -3*c**5/20 + 13*c**4/4 - 6*c**3 + 97*c. Determine r, given that z(r) = 0.
0, 1, 12
Solve q**2 + 82 + 5*q**3 - q**4 - 8*q - 38 - q**5 + 0*q + 0*q**2 - 40 = 0.
-2, 1
Suppose -39/5*b + 3/5*b**2 + 36/5 = 0. What is b?
1, 12
Let d(o) = -5*o**5 - 4*o**4 + 6*o**3 - 8*o**2 - o. Let l(q) = -q**5 - q**4 + q**3 - q**2. Let u(p) = -d(p) + 6*l(p). Find k such that u(k) = 0.
-1, 0, 1
Suppose -4 = -4*l, -h + 4*l - l + 7 = 0. Let g = 12 - h. Factor -g*v**2 - 4*v**2 + 4*v**2 + v - v**5 + 2*v**4 + 0*v**5.
-v*(v - 1)**3*(v + 1)
Let t(x) = x - 3. Let z be t(5). Suppose -z*y**2 - 2*y**5 + 7*y**3 + 6*y**3 + 2*y**4 + y**3 - 12*y = 0. What is y?
-2, -1, 0, 1, 3
Let g(z) be the first derivative of -4 + 0*z**2 + 0*z - 4/3*z**3 - 4/15*z**5 - 4/3*z**4. Solve g(s) = 0 for s.
-3, -1, 0
Let b(x) be the second derivative of x**6/80 + 3*x**5/80 - 2*x + 23. Determine g, given that b(g) = 0.
-2, 0
Factor -2*u + 29 - 4*u**2 - 7 - 16.
-2*(u - 1)*(2*u + 3)
Let h(q) = q**4 - 4*q**3 + 4*q**2 - 11*q - 11. Let a(b) = -4*b + 6. Let p(l) = -3*l + 5. Let i(k) = 4*a(k) - 5*p(k). Let r(v) = 4*h(v) - 44*i(v). Factor r(g).
4*g**2*(g - 2)**2
Let d = 89 + -79. Let s be ((-8)/9)/(d/(-45)). Determine b so that -1/3*b**2 - 1/6*b**5 + 0*b + 0 + 1/3*b**s + 1/6*b**3 = 0.
-1, 0, 1, 2
Find r such that 99/5*r**2 + 9*r**4 + 0 - 141/5*r**3 + 0*r - 3/5*r**5 = 0.
0, 1, 3, 11
Let s(i) = i**2 - 14*i + 18. Let x be s(12). Let a(u) = -u**3 - 3*u**2 + 4. Let h(z) = 2*z**3 + 6*z**2 - 8. Let t(q) = x*h(q) - 10*a(q). Factor t(w).
-2*(w - 1)*(w + 2)**2
Let m(f) be the first derivative of 2*f**6/27 - 7*f**5/45 - f**4/6 + 7*f**3/27 + f**2/9 - 40. Let m(h) = 0. What is h?
-1, -1/4, 0, 1, 2
Suppose -100 = -19*t + 14. Let u(p) be the second derivative of 1/24*p**4 + 0*p**3 - 1/20*p**5 + 0*p**2 + 0 - 5*p + 1/60*p**t. Factor u(z).
z**2*(z - 1)**2/2
Let p = 100/91 - -6425/364. Factor -15/2*w - 3/


a composite number?
False
Suppose 24*n - 20*n = 5524. Is n prime?
True
Let l(y) = 420*y**2 - 17*y - 5. Is l(6) a composite number?
False
Suppose -3*d + 134 = 5*z, d - 116 = -d + 2*z. Let k(l) = -l**2 + 3. Let n be k(0). Suppose n*f = 2*a + d, -5*f + 93 = -3*a + 2*a. Is f composite?
False
Let d be (0 - 1)*(-3)/(-3). Let l be 4*d/12*-15. Suppose 0 = 5*g - l*x - 110, -2*g - 3*x = x - 26. Is g prime?
True
Suppose -4*t + 4*u = -u - 15, 4*t + 5*u - 65 = 0. Is 2136/t + 9/(225/10) composite?
True
Let v(z) = z**2 + 12*z + 10. Let y be v(-11). Let r(p) = 22*p**2 + p + 2. Let w(o) = -21*o**2 - o - 3. Let u(x) = 3*r(x) + 2*w(x). Is u(y) composite?
False
Let m be 5/15*-3 - -4. Suppose p + 4*u = -m*p, -4*p + 2*u = 0. Suppose -5*f + s - 817 = -4710, 4*f + 2*s - 3120 = p. Is f composite?
True
Let c be ((-1)/(-1))/(8/40). Suppose 0*d + d - c*k = 201, -d - 4*k + 219 = 0. Is d a prime number?
True
Is 0 - ((8 - 4) + -1050) prime?
False
Let s = 105564 + -60527. Is s prime?
False
Suppose 0 = -128*u + 113*u + 6195. Is u a prime number?
False
Let g be 8/(-44) + 96/44. Suppose 0*c - 4 = -g*c. Suppose 2*o + c*y + y = 65, y + 151 = 4*o. Is o composite?
False
Let p(u) = 39*u**3 - 4*u**2 - 2*u - 4. Let v(c) = -c**3 + c**2 + 1. Let r(g) = -p(g) - 3*v(g). Let w be r(2). Is w/(-2) + 6/(-12) composite?
False
Suppose 0 = n - 4*m - 200, 419 = 5*n + 3*m - 581. Let v = 457 - n. Is v prime?
True
Let g = 330 + -694. Let x = -618 - g. Is x*2*(-4)/8 a composite number?
True
Is 1588 - (-6 - -7)*-6 composite?
True
Let f(u) be the third derivative of -u**6/120 - 7*u**5/30 - 7*u**4/6 - u**3/2 - 7*u**2. Let q be f(-20). Suppose 0 = -3*c + q - 938. Is c composite?
False
Let h(x) = x - 2. Let n be h(3). Is n/(2 - 219/111) a composite number?
False
Let p(z) be the second derivative of z**5/2 + 13*z**4/12 - 11*z**3/3 - 2*z**2 + 46*z. Is p(9) a composite number?
True
Let q(g) be the third derivative of 34*g**5/5 + g**4/24 - g**3/3 - 200*g**2. Let c(h) = -2*h - 1. Let x be c(-1). Is q(x) composite?
True
Let o(l) = -9 - 4*l**2 + 3*l**2 - 41*l + 8. Is o(-20) a composite number?
False
Let x be (-8)/(-12) + (-22)/6. Is (x + -1 - 0) + 207 composite?
True
Is ((-13931)/(-2))/((-168)/(-16) + -10) composite?
False
Let g(i) = i**2 - 14*i - 16. Let s be g(15). Is 142 + -11 + 1*s + 1 a prime number?
True
Suppose -n - 993 = -4*w, -3987 = 4*n - w - 0*w. Let v = -383 - n. Is v a composite number?
True
Let h be (7 + -3)/2 + 2. Suppose -2*o + h*l = 8, -l - 4 = 1. Is (-4)/o - 635/(-7) a composite number?
True
Is (-2)/3*981*-1 - -1 a prime number?
False
Let t(x) = -x**3 - 5*x**2 + 9*x + 3. Let h be 1/6 - ((-43)/(-6) + 3). Is t(h) a prime number?
False
Is (648851/(-14))/((-2)/4) a prime number?
True
Let h = 7079 - 3438. Is h prime?
False
Let l = 1830 - -5173. Is l a composite number?
True
Let k = -18036 - -36875. Is k a prime number?
True
Suppose -5 = 3*q - 11. Suppose -6*n + q*n + 2524 = 0. Is n prime?
True
Let o be (-2 - -8)/(0 - -2). Let y = 1 - o. Let g(l) = -124*l - 1. Is g(y) composite?
True
Let d(n) = n. Let w be d(0). Suppose 2*s - 2 - 4 = w. Suppose s*i = -0*i + 66. Is i prime?
False
Suppose -s + 2 = 0, 4*s + 17793 = 2*k - 29045. Is k composite?
True
Let q(g) = 2*g - 16. Suppose x - 7 = 2. Let t be q(x). Suppose 2*l - 5*f = 611, t*l + 2*f - 601 = 5*f. Is l a prime number?
True
Suppose s + 2*t = -6, 0 = -5*s - 3*t - 2*t - 5. Let o(f) = -2*f + s - 7*f - 2*f. Is o(-5) a prime number?
True
Let j = 385 - 228. Suppose -j - 470 = -3*l. Is l a composite number?
True
Suppose -5*i = -267 - 8. Suppose -5*j - 20 + i = 0. Let p = 15 + j. Is p a prime number?
False
Let k = 4192 + -2870. Is 2/4 - (-1)/(4/k) a composite number?
False
Let y(x) = -x**3 + 36*x**2 - 31*x + 21. Is y(-26) a prime number?
False
Let l = 921 - 255. Let k = 775 + l. Is k a composite number?
True
Let n = 6479 - -6122. Is n prime?
True
Let u(f) = -80*f**3 + 12*f**2 + 6*f - 3. Is u(-5) prime?
True
Let r = 142 + 6145. Is r prime?
True
Suppose -5*h + 2*z = -2235, -894 = -2*h - 8*z + 3*z. Is h prime?
False
Let t(s) = -s**2. Let c(n) = -26*n**2 + n + 17. Let o(p) = -c(p) + 5*t(p). Is o(8) composite?
False
Suppose f - 39490 = -3*p, -f + 3*p + 19879 + 19605 = 0. Is f composite?
True
Let y(f) = -91*f - 2. Let h be y(-3). Suppose q + 0*n = n - 170, -4*q - 712 = 4*n. Let t = q + h. Is t a prime number?
True
Suppose 0 = 3*w - 7 - 5. Suppose m - 3*m - 5 = 5*x, w*m - 3 = 3*x. Is (-251 + -3 + 5)/x a composite number?
True
Let t(d) = -2*d + 9. Let u be t(5). Is 6 + -7 - (u - 259) prime?
False
Suppose 6*a + 77465 = 11*a. Is a prime?
True
Let g(n) = -2*n**3 + 2*n**2 + 3*n + 8. Suppose 15*y - 17*y - 14 = 0. Is g(y) a composite number?
True
Let r(c) = -4*c**3 - 27*c**2 - 11*c + 11. Is r(-8) a prime number?
True
Suppose -i = -5*m + 6 - 25, -2*m = 6. Suppose -4*z - 503 + 3208 = 3*y, 4*z = i*y - 3560. Is y composite?
True
Let n = -5508 - -13674. Suppose -n = -15*c + 9*c. Is c a prime number?
True
Let y be 1 - 0 - (2 - 1538). Suppose -d - 2*u = -511, y = 2*d + d + 5*u. Is d prime?
False
Let a(t) = 4*t**2 + 19*t + 17. Suppose 5*p + 10 = 4*p. Let o = -2 + p. Is a(o) composite?
True
Let b(q) be the third derivative of -97*q**4/24 + q**2. Let d = -212 - -211. Is b(d) prime?
True
Let w(c) = -c**2 - 9*c + 11. Let f be w(-10). Suppose 1 = 2*y - 1, y - f = 4*a. Suppose a*m + 293 = z - 3*m, -5*m = 5*z - 1425. Is z prime?
False
Let r(p) = 2*p**3 + 4*p**2 + 4*p + 2. Let n be (8/(-12))/((-2)/(-6)). Let i be r(n). Is 2/(-16)*i*8 composite?
True
Suppose -20 + 28 = 4*o. Suppose -2*z + 40 = o*u, -5*z + 5*u + 29 = -61. Is z composite?
False
Suppose y + 209 = -3*s + 1036, 0 = -3*y - 5*s + 2473. Is y composite?
False
Let l = -43 + 37. Let a(m) = -6*m**3 + 6*m**2 + 4*m - 11. Is a(l) prime?
False
Suppose 0 = -8*m + 3*m + 4520. Let a = m + -39. Is a prime?
False
Let m be 665/105*3*1. Suppose 0 = 18*f - m*f + 123. Is f a composite number?
True
Suppose 0 = 5*s - 197 - 24888. Is s composite?
True
Suppose 2*z + 24 - 30 = 0, 23387 = v - 4*z. Is v a prime number?
True
Suppose -j + 3 = -0. Suppose 253 = -2*y + j*y. Is y composite?
True
Let q(u) = -7*u + 37. Let s be q(7). Is (-8872)/s - 3/9 a prime number?
True
Let l = -4 + -11. Let z(r) = -2*r - 25. Let p be z(l). Suppose -4*f - 231 = -k, -5*f + 48 = -p*k + 1278. Is k prime?
True
Let h(c) = 2*c**3 - 11*c**2 + 12*c - 12. Is h(7) composite?
True
Let w(b) = 10*b + 3. Let n(h) = h - 1. Let p(f) = -4*n(f) - w(f). Let g be p(-5). Suppose 4*k + q - 3 = 74, g = 4*k - 5*q. Is k a prime number?
True
Let h(w) = -w**3 + 14*w**2 - 13*w + 2. Let z be h(13). Suppose -z*y - 4*v = -3194, -v - 464 = -y + 1142. Is y a composite number?
True
Suppose 3*s - 5*k = 9794, 4*s + k = -2*k + 13107. Is s composite?
True
Suppose q = 4*b - 2718, 699 = 3*b - 4*q - 1346. Is b a prime number?
False
Let x(g) = -5*g**3 - g**2 + 2*g - 3. Let y = -17 + 12. Is x(y) a prime number?
True
Suppose 5*u + 8 = v, 2*v + 4*u + 9 = 3*v. Suppose 10*p + 1341 = v*p. Is p prime?
False
Suppose 2*v + z = -1639, -22 - 3 = 5*z. Is 16/(-32)*(v + -1) a composite number?
False
Let o = 14319 + 18530. Is o a prime number?
False
Let w(t) = 6*t**3 + 8*t**2 + t + 7. Let g = -40 - -46. Is w(g) composite?
False
Let a = -6367 - -11336. Is a a prime number?
True
Let o(a) = 17*a**2 - 8*a + 7. Let b(u) = -16*u**2 + 8*u - 8. Let x(t) = 2*b(t) + 3*o(t). Let v = 3 + 3. Is x(v) composite?
False
Suppose 4*x + 2*k - 574 = 0, 6 + 9 = -3*k. Suppose x = p - 132. Is p prime?
False
Let b(s) = 83*s - 36. Is b(10) composite?
True
Let s(r) be the second derivative of r**4/6 + r**3/6 + 371*r**2/2 + 28*r. Is s(0) prime?
False
Let l(j) = j**2 + 2*j - 5. Let a be l(-4). Suppose 2*s = s - 3, a*c + s - 3258 = 0. Is c a prime number?
True
Is (2 + 1)*(-936743)/(-177) prime?
True
Suppose 26 = s - 4*g, 0*s - g = 2*s - 7. Let j be (1 - s)*(-6)/10. Suppose 4*o + 4*z - 2128 = 0, j*o = -4*z + 836 + 757. Is o prime?
False
Let l(r) = 2*r**3 - 23*r - 1 - 9 - 4*r**2 - 1 + 26*r. Suppose 28 = 4*j + 4. Is l(j) composite?
True
Let s be (36 - 27) + 8/2. Is 1129/s + (-18)/(-117) a prime number?
False
Let l(f) = 16*f + 42. Let s(u) = -11*u - 28. Let x(v) = 5*l(v) + 7*s(v). Let b be x(-6). Is 1897/9 - b/18 a prime number?
True
Let y = 47 + -47. Suppose -3*p + 4440 = -m, 0*p - p - 4*m + 1493 = y. Is p a prime number?
True
Let z = -3 + 8. Let f be (2283 -


ond derivative of -182712*s**2 + 126485*s?
-365424
Find the second derivative of -11*f*t**2 + 5*f*t - 4310*t**2 - 129*t + 12 wrt t.
-22*f - 8620
What is the third derivative of 7*t**3*z**5 - 260326*t**3*z**4 + 2*t**3*z**2 - 3*t**3*z + 9*t**2*z**2 - t**2 - 5*z wrt z?
420*t**3*z**2 - 6247824*t**3*z
Find the second derivative of 6723*w**2*z**2 + 8*w**2 + 3*w*z**2 + 6802*z**2 wrt w.
13446*z**2 + 16
What is the third derivative of 33574*p**6 + 3*p**5*s**2 + 11*p**2*s**2 + 2*p**2*s + 46*p**2 + 3*p*s**2 wrt p?
4028880*p**3 + 180*p**2*s**2
Find the first derivative of -2*d*l**3 - 7429*d*l**2 - 102*l**3 + l**2 + 4*l wrt d.
-2*l**3 - 7429*l**2
What is the second derivative of -1028245*w**3 + 2*w**2 + 1192595*w wrt w?
-6169470*w + 4
Find the second derivative of -122163*x**5 + 3*x - 43521 wrt x.
-2443260*x**3
Differentiate -282640*c**3*n*p - 10*c**3 + 54*c*p - 2*n*p - n + 129*p wrt n.
-282640*c**3*p - 2*p - 1
Find the third derivative of -39475*c*y**3 + 5*c*y**2 + c*y - 703*y wrt y.
-236850*c
Find the first derivative of 1885392*i*n*u**3 + 2*i*o**3*u - 4*n*o**2*u**3 - 52682*o**3*u**2 - o*u**3 wrt i.
1885392*n*u**3 + 2*o**3*u
Find the second derivative of -324*r**4 - 80*r**3 + 3*r**2*t - 414*r*t - 145 wrt r.
-3888*r**2 - 480*r + 6*t
What is the derivative of 54379*c + 35032 wrt c?
54379
What is the derivative of 53*s**3*t*w + 22*s**3*w + 95451*s**3 + 45*s**2*t - 2*t*w - 6*t - 2*w wrt t?
53*s**3*w + 45*s**2 - 2*w - 6
What is the second derivative of -5946*b**2*g**3 + b*g**3 + 2*b*g**2 + 8*b + 6*g**3 - 855*g wrt b?
-11892*g**3
Find the second derivative of 110429*f**2 - 820*f - 102.
220858
Find the third derivative of -21076*c*w*z**3 + 99*c*w*z + c*z**3 - c*z**2 + 7*w*z**2 - w*z - z**2 wrt z.
-126456*c*w + 6*c
Find the first derivative of 54308*d**3 - 58518 wrt d.
162924*d**2
Find the third derivative of -2*n*u*x**3 - 2*n*u*x - 15*n*u - 2*n*x**3 - n*x**2 - 3*n*x - 26140*x**3 - 8*x wrt x.
-12*n*u - 12*n - 156840
Find the second derivative of -k**2*w - 632115*k**2 - 204795*k*w - 2*k wrt k.
-2*w - 1264230
Find the second derivative of 527*a**2*o**2 - 6*a**2*o - 4*a*o**2 + 73*o wrt o.
1054*a**2 - 8*a
What is the second derivative of 127323*h**2 - 37039*h?
254646
What is the third derivative of 95258*j**6 + 110306*j**2?
11430960*j**3
Find the second derivative of -3901*t**4*u**2 + 9*t**2*u**2 + t*u**2 + 522*t*u + u**2 + 6*u + 16 wrt t.
-46812*t**2*u**2 + 18*u**2
What is the second derivative of -153*d**2*r**2 + 3*d**2 - 72*d*r**2 + 55*d*r + 4*r wrt r?
-306*d**2 - 144*d
Find the third derivative of -743766*h**5 - 1425373*h**2 wrt h.
-44625960*h**2
What is the second derivative of 2*d*f**3*o**2 - 3*d*f**2*o - 2*d*f - 4*d*o**2 + 969*d - 837*f**3*o wrt f?
12*d*f*o**2 - 6*d*o - 5022*f*o
What is the derivative of -4641*l**2*u + 111*l*u**2 + 1178243*u**2 wrt l?
-9282*l*u + 111*u**2
Find the third derivative of 8*p**4*q**2 - 2524*p**4*q - 3*p**4 + 175460*p**2*q**2 wrt p.
192*p*q**2 - 60576*p*q - 72*p
What is the derivative of -2*f**4 + 301489*f**3 + 91511?
-8*f**3 + 904467*f**2
Differentiate -a**3*m**2 - 5*a**3*m*z + 48*a**3*m - 36*a**3*z - 52*a**3 + 32*m**2*z with respect to z.
-5*a**3*m - 36*a**3 + 32*m**2
Differentiate -f*m - 388891*f + 48*m - 6114 wrt f.
-m - 388891
Find the first derivative of -114769*p + 47008.
-114769
What is the derivative of -10*d**3 - 104*d**2 - 3*d - 2061 wrt d?
-30*d**2 - 208*d - 3
What is the first derivative of 5*m*t - 4421124*m - 20*t**3 - 2701*t**2 wrt t?
5*m - 60*t**2 - 5402*t
Find the second derivative of 2550039*j**3 + 2*j**2 + 3477267*j.
15300234*j + 4
Find the third derivative of 60328*i**4 - i**2 - 3650*i + 11 wrt i.
1447872*i
What is the third derivative of 10*s**4 - 1973*s**3 + 552*s**2 - 14*s + 1 wrt s?
240*s - 11838
What is the second derivative of 6701*f**4*i**3 + 4*f**4 - 37*f*i**3 - 8*f*i - i - 4 wrt f?
80412*f**2*i**3 + 48*f**2
Find the second derivative of 125*d**4 - d**3 - 2870*d**2 - 2929243*d.
1500*d**2 - 6*d - 5740
What is the derivative of 7705*a*k*o + 2*a*o*r + a*o - 31*a + 3*k*o*r - 88*o*r - 2*o wrt k?
7705*a*o + 3*o*r
What is the third derivative of 3189*w**6 + 6022*w**2?
382680*w**3
What is the derivative of -49013*d**4 + 2*d + 78140?
-196052*d**3 + 2
What is the first derivative of 2*c**2*o**3 + 6972*c**2*o**2 + 17*c**2 - 1864649*o**3 wrt c?
4*c*o**3 + 13944*c*o**2 + 34*c
Find the first derivative of -8*q**4 + 2*q**2 - 2876*q - 30429 wrt q.
-32*q**3 + 4*q - 2876
What is the derivative of -5*l*m + 1041*l + 41975*m - 2 wrt l?
-5*m + 1041
What is the third derivative of 8*h**3*v**2*z**3 + 2*h**3*v**2*z + 3496*h**2*v**2*z**3 + 4*h*v*z**2 + 28*v**2*z**2 + 8 wrt z?
48*h**3*v**2 + 20976*h**2*v**2
What is the derivative of -16*t**2*v**2 + 19*t**2*v - 4*t*v**3 + 2*v**3 + 14*v**2 + 68*v wrt t?
-32*t*v**2 + 38*t*v - 4*v**3
What is the third derivative of 125848*j**3*o**2 + 151*j**2*o**2 + 236*o**2 wrt j?
755088*o**2
Differentiate -21*h**3*j**2 - 1113*h**3*j + 3*h**3 + 9848*h**2 + 2*h + 2*j**2 + 5 with respect to j.
-42*h**3*j - 1113*h**3 + 4*j
Find the third derivative of -1433*a**6 - 516*a**3 - 1472734*a**2 wrt a.
-171960*a**3 - 3096
What is the second derivative of -35839*b**3 - 15*b**2 + 951353*b?
-215034*b - 30
Find the third derivative of -20*r**4 + 12814*r**3 + 94823*r**2 + 2*r + 2.
-480*r + 76884
What is the second derivative of 3326*v**3*w**2 + 12*v**3*w + 12*v**2 - 2*v + 8*w**2 wrt w?
6652*v**3 + 16
Differentiate 14*b**4 + 1313*b**3 + 7*b*f + 40654*f wrt b.
56*b**3 + 3939*b**2 + 7*f
What is the first derivative of -214*a*c**2*q**3 + 387*a*c**2*q**2 - 518*a*q + 2*a + 25*q**3 wrt c?
-428*a*c*q**3 + 774*a*c*q**2
Find the third derivative of -4550791*c**3 - 2166486*c**2.
-27304746
What is the third derivative of 12552*g**4*m - 4*g**4 - g**3*m + 2*g**3 + 2*g**2*m + 94*g*m - g + 59*m wrt g?
301248*g*m - 96*g - 6*m + 12
Find the first derivative of 3*j**4 + 737*j**3 + 2*j**2 - 198249 wrt j.
12*j**3 + 2211*j**2 + 4*j
What is the third derivative of -b*f**3 + 33054*b*f**2 - 7*b*f + 29374*f**6 wrt f?
-6*b + 3524880*f**3
What is the first derivative of -3*i**3 + i**2 + 62553*i - 4772?
-9*i**2 + 2*i + 62553
What is the third derivative of 2*h**3*l**3 + 2*h**3 - 54*h**2*l**3 - 5763*h**2*l**2 + 6*h*l**3 + 3*h*l**2 - 5*l**3 - 2*l**2 wrt l?
12*h**3 - 324*h**2 + 36*h - 30
Find the third derivative of -11147*i**3*l + 2*i**3 - 209*i**2*l - 180*i**2 wrt i.
-66882*l + 12
Find the third derivative of 1633639*d**5 - d**4 + 2070711*d**2.
98018340*d**2 - 24*d
What is the second derivative of 3244977*r**2 + 716*r + 313 wrt r?
6489954
Differentiate -133484*t**4 + 2*t - 1582665 with respect to t.
-533936*t**3 + 2
Find the second derivative of -66*i*u**2 + 2*i*u + 3*u**2 - 64*u - 60 wrt u.
-132*i + 6
Differentiate -719*f**3*t**2 - 4*f*t**2 - 55*f - 3*t**2 - 480869 wrt f.
-2157*f**2*t**2 - 4*t**2 - 55
What is the third derivative of -2*j**2*s**3 - 79*j**2 - 110*j*s**2 - 2*j*s - 523953*s**3 + 2 wrt s?
-12*j**2 - 3143718
What is the derivative of -661283*g**2 - 1281723?
-1322566*g
Find the second derivative of -9966*x**4 + 3*x**3 - 2*x**2 - 4091*x - 5 wrt x.
-119592*x**2 + 18*x - 4
Differentiate 101412*d**2 - 299106.
202824*d
Find the second derivative of o**4 - 2531*o**3 - 6*o + 3614 wrt o.
12*o**2 - 15186*o
What is the derivative of -2*i**2*v + 178*i**2 + 3*i*v + 52*i - 96684*v wrt i?
-4*i*v + 356*i + 3*v + 52
What is the third derivative of -93*b**3*j**2*y - 3*b**3*y + b**2*j**2*y + b**2*y + 1436*b*j**2*y - 2*b*j**2 wrt b?
-558*j**2*y - 18*y
Differentiate -j**2*v**2 - 22310*j**2 - 191206*v**3 with respect to v.
-2*j**2*v - 573618*v**2
Find the second derivative of 27*h**3*j**3 + 10*h**3*j**2 + h**3*j + 1589*h**3 - 6*j**3 + 2*j wrt j.
162*h**3*j + 20*h**3 - 36*j
What is the second derivative of 2*c**4 - 13259*c**3 - 2*c**2 - 3*c - 7497 wrt c?
24*c**2 - 79554*c - 4
What is the second derivative of -21980*d**3*p**2 + d*p**2 - 455*d*p - 4*p**2 wrt d?
-131880*d*p**2
What is the derivative of 8*t**4 + 11*t**2 - 68*t + 14211?
32*t**3 + 22*t - 68
Find the second derivative of -w**3 - 5660*w**2 - 42291*w wrt w.
-6*w - 11320
Find the third derivative of 179759*z**6 + 2*z**2 - 16*z + 34.
21571080*z**3
Find the second derivative of 502*g**4 + g**3 + 4*g**2 - 28899*g wrt g.
6024*g**2 + 6*g + 8
Find the first derivative of 12367*q*t - q*z**2 + q - 6*t*


 390.
-1/130
Divide -5 by 400.
-1/80
Calculate 234 divided by 117.
2
Divide 1668 by 4.
417
Calculate 1 divided by -8198.
-1/8198
What is -1079 divided by 3?
-1079/3
Divide -893 by 19.
-47
89 divided by -6
-89/6
Calculate 32718 divided by -3.
-10906
Divide -142 by -6.
71/3
-4636 divided by -4
1159
Divide 690 by 345.
2
Calculate -1148 divided by 11.
-1148/11
-49120 divided by 4
-12280
-13 divided by -48
13/48
Divide 0 by 4205.
0
Calculate -318 divided by 2.
-159
Calculate -24 divided by -53.
24/53
What is 20 divided by 587?
20/587
Calculate -82 divided by 50.
-41/25
Calculate -5412 divided by 132.
-41
What is -5 divided by -359?
5/359
What is 0 divided by -9230?
0
Calculate 14 divided by -2.
-7
115 divided by -1
-115
-13 divided by 6
-13/6
Calculate 181 divided by -1.
-181
-56 divided by 5
-56/5
What is 45265 divided by 11?
4115
What is 237 divided by 50?
237/50
Divide 359 by 2.
359/2
Divide -25 by 10.
-5/2
What is -58 divided by 9?
-58/9
-66 divided by 6
-11
Calculate -11006 divided by 1.
-11006
Calculate -1132 divided by -6.
566/3
-4670 divided by 934
-5
What is -981 divided by 3?
-327
-1844 divided by 5
-1844/5
Divide 1311 by 3.
437
-496 divided by 4
-124
Divide 3 by 665.
3/665
Divide 220 by 4.
55
What is 30510 divided by 3?
10170
Calculate -1260 divided by -630.
2
What is 11 divided by -108?
-11/108
2403 divided by -9
-267
Divide -4959 by 29.
-171
Divide 114 by 57.
2
-340 divided by 10
-34
Calculate 4 divided by -2.
-2
What is -1722 divided by 14?
-123
What is -4 divided by 35?
-4/35
What is 776 divided by -194?
-4
Divide -1980 by 1.
-1980
Divide 336 by -2.
-168
Calculate 1768 divided by -104.
-17
Divide -6488 by -811.
8
What is 13130 divided by -2626?
-5
Calculate -2344 divided by -293.
8
Divide 421 by 1.
421
Divide 1954 by 2.
977
Calculate -2 divided by -2509.
2/2509
What is -40 divided by -7?
40/7
What is -125 divided by 23?
-125/23
-35 divided by -35
1
-91 divided by 91
-1
Calculate -5130 divided by -15.
342
What is -1890 divided by 2?
-945
9484 divided by 6
4742/3
Calculate -2 divided by 23.
-2/23
Divide -4 by 44.
-1/11
Divide -6734 by -1.
6734
What is -3 divided by 331?
-3/331
-196 divided by 2
-98
-5 divided by 844
-5/844
What is 0 divided by -128?
0
What is -97 divided by 2?
-97/2
-245 divided by -4
245/4
What is 316 divided by 6?
158/3
Divide 2360 by -8.
-295
62 divided by -4
-31/2
What is 9503 divided by -1?
-9503
-13 divided by 68
-13/68
What is 252 divided by -6?
-42
Calculate 12 divided by 1995.
4/665
Calculate 11050 divided by -2210.
-5
-2 divided by 75
-2/75
What is -174 divided by 58?
-3
Divide 8 by -36.
-2/9
What is 96 divided by -2?
-48
What is -505 divided by -505?
1
What is -52 divided by 6?
-26/3
-72 divided by 1
-72
Calculate -240 divided by 5.
-48
Divide -248 by 31.
-8
Divide 254 by -2.
-127
Calculate 4 divided by -801.
-4/801
What is -2385 divided by 477?
-5
550 divided by 110
5
-3 divided by -31
3/31
Divide 16 by -38.
-8/19
Divide -5190 by 5.
-1038
What is -4 divided by -2376?
1/594
What is -16372 divided by -6?
8186/3
What is 21 divided by 41?
21/41
5 divided by -15
-1/3
Calculate -320 divided by 64.
-5
Divide -5 by -4.
5/4
-1 divided by 158
-1/158
What is 2 divided by 1?
2
-751 divided by -4
751/4
-273 divided by 12
-91/4
Calculate -54 divided by -2.
27
220 divided by 10
22
Divide -79 by -5.
79/5
-81 divided by -97
81/97
-2 divided by -459
2/459
10 divided by 362
5/181
Calculate -1506 divided by 6.
-251
Calculate -465 divided by 93.
-5
Calculate -24 divided by -4.
6
Calculate 2 divided by -20.
-1/10
-56 divided by -6
28/3
0 divided by -4
0
160 divided by 2
80
Calculate 7 divided by 100.
7/100
-1640 divided by 410
-4
What is 2838 divided by 1419?
2
Calculate 2223 divided by 57.
39
10023 divided by -3341
-3
Calculate -1742 divided by 2.
-871
-1 divided by -152
1/152
Calculate 2 divided by -120.
-1/60
Divide 3 by -174.
-1/58
-3 divided by 11
-3/11
1295 divided by -5
-259
Divide -12559 by 5.
-12559/5
What is 38 divided by -32?
-19/16
What is 12 divided by 1?
12
What is 390 divided by 6?
65
Divide -11115 by -15.
741
Divide 643 by -3.
-643/3
-9 divided by 7
-9/7
Calculate 2 divided by -1284.
-1/642
Divide 10973 by 2.
10973/2
Calculate 874 divided by -2.
-437
What is 15 divided by -114?
-5/38
Calculate 0 divided by 829.
0
Divide 1085 by -155.
-7
Calculate 804 divided by -6.
-134
Calculate 177 divided by 4.
177/4
171 divided by -13
-171/13
Calculate 250 divided by 5.
50
703 divided by -11
-703/11
Divide -1972 by 3.
-1972/3
-2 divided by 39
-2/39
What is 49 divided by -6?
-49/6
Divide -1 by -30.
1/30
Divide 2 by 519.
2/519
What is 6400 divided by -4?
-1600
Divide 17920 by 512.
35
Calculate 2303 divided by 47.
49
Divide 380 by 5.
76
-2074 divided by 17
-122
What is 225 divided by -15?
-15
What is -5140 divided by -5?
1028
-804 divided by 201
-4
-5 divided by 2
-5/2
4 divided by -59
-4/59
Calculate 2482 divided by -34.
-73
Calculate 4780 divided by -478.
-10
What is -5 divided by -5?
1
Calculate 2 divided by 57.
2/57
What is 434 divided by -31?
-14
-361 divided by 6
-361/6
Divide 2 by -58.
-1/29
Calculate -622 divided by 311.
-2
Divide -7 by -298.
7/298
Calculate 1518 divided by 46.
33
Divide -482 by -2.
241
Calculate 349 divided by -3.
-349/3
What is 0 divided by -817?
0
2068 divided by 47
44
-2430 divided by 243
-10
Divide -468 by -13.
36
378 divided by -27
-14
Calculate 56 divided by -3.
-56/3
Calculate -364 divided by 7.
-52
Divide -58 by 6.
-29/3
432 divided by 36
12
3340 divided by 668
5
Divide -127 by 2.
-127/2
Divide -11 by 1.
-11
Divide 47 by -1.
-47
Calculate 20095 divided by -5.
-4019
Divide -5 by 55.
-1/11
4862 divided by -6
-2431/3
What is -3276 divided by 42?
-78
Divide 0 by 489.
0
What is 4944 divided by -6?
-824
340 divided by -68
-5
Calculate -4 divided by 21.
-4/21
What is -867 divided by -3?
289
12 divided by -1283
-12/1283
Calculate 1943 divided by -1943.
-1
What is 25861 divided by 2?
25861/2
Divide -232 by -2.
116
Calculate -5 divided by 679.
-5/679
75 divided by 100
3/4
Divide 0 by -59.
0
-145295 divided by 5
-29059
Divide 4 by 1692.
1/423
-3 divided by 93
-1/31
What is 228 divided by -57?
-4
34 divided by -4
-17/2
-498 divided by 4
-249/2
Calculate 118 divided by 118.
1
What is 148 divided by 74?
2
-3490 divided by -10
349
480 divided by 32
15
-2 divided by -70
1/35
Calculate 5 divided by -31.
-5/31
What is 20 divided by 7?
20/7
57 divided by -2
-57/2
-754 divided by 6
-377/3
Divide 546 by -5.
-546/5
Divide 28 by 2.
14
Divide -2 by -163.
2/163
What is -242 divided by -5?
242/5
Calculate -4888 divided by 2444.
-2
608 divided by -14
-304/7
What is -168 divided by 24?
-7
What is 4 divided by -189?
-4/189
-1211 divided by -3
1211/3
Calculate -6052 divided by -34.
178
Divide 1 by -5825.
-1/5825
3180 divided by -3
-1060
-2920 divided by 4
-730
What is 45 divided by -81?
-5/9
34 divided by 4
17/2
10 divided by 35
2/7
691 divided by 17
691/17
Calculate 457 divided by 3.
457/3
Calculate 15 divided by 2.
15/2
Divide 0 by 1291.
0
Divide 9 by -6.
-3/2
What is -120 divided by -10?
12
Divide 2443 by 3.
2443/3
What is 28 divided by -9?
-28/9
Divide 612 by 14.
306/7
Divide -202 by -4.
101/2
What is 89 divided by 35?
89/35
Divide 4301 by -6.
-4301/6
What is -2 divided by 366?
-1/183
-133 divided by -7
19
What is -6 divided by 13?
-6/13
73 divided by -220
-73/220
Calculate -12702 divided by 6351.
-2
-9384 divided by -4
2346
Divide -7 by 36.
-7/36
Calculate 306 divided by 3.
102
Divide 1 by 214.
1/214
-3 divided by -35
3/35
Divide 3 by -7.
-3/7
Divide 0 by -172.
0
What is 4 divided by -11?
-4/11
Calculate -5 divided by -894.
5/894
What is -736 divided by -6?
368/3
What is 10 divided by 2?
5
What is -13 divided by -1?
13
100 divided by 2
50
Calculate -84 divided by -14.
6
-372 divided by 5
-372/5
392 divided by -98
-4
What is -4 divided by 307?
-4/307
296 divided by 296
1
Divide -195 by -5.
39
What is -50 divided by 4?
-25/2
Divide 697 by -6.
-697/6
-29226 divided by -3
9742
Divide 1 by -53.
-1/53
What is 1056 divided by 8?
132
Divide 8788 by -2197.
-4
Calculate 1616 divided by 8.
202
3 divided by -293
-3/293
Divide -7 by -12.
7/12
-3804 divided by -6
634
What is 8 divided by 49?
8/49
What is -12 divided by 1?
-12
Calculate 32 divided by -24.
-4/3
Calculate 8181 divided by 1.
8181
Calculate -30884 divided by 4.
-7721


Suppose 5*u - 4*n - 63 = q, 2*u + 2*n = -2*n + 42. Calculate the common denominator of -45/8 and 873/u*1/(-6).
40
Let t be 4 + -2 + 2 + 2. Let l = -3 + t. What is the least common multiple of l and 8?
24
Let m = -35120/13 + 5309/2. Let w = m - -7/13. Find the common denominator of w and 43.
2
Find the common denominator of 95/6 and ((-9)/15)/((-4)/(-44)).
30
Let f be ((-1643)/(-376))/(18/(-8)). Let j = f + 5/94. Let b = 628 + -4409/7. Find the common denominator of j and b.
63
Suppose -2*s - 5 = -5*l, 2*l - 2 = 8. Let x be (0 + (-2)/5)*-10. Suppose -32 = -x*o + 2*o. What is the least common multiple of s and o?
80
Let b(m) = m + 3. Calculate the lowest common multiple of b(4) and 21.
21
Let z be -55*((-4)/5)/2. Suppose 5*m - z = -x, -6 = -x - 2*x. What is the lowest common multiple of 7 and m?
28
Suppose 0 = i + 3*i - 40. Calculate the smallest common multiple of (-2)/(-3) - 84/(-9) and i.
10
Let c be 9/27 - (-15168584059)/126. Let l = c + -120384764. Let i = 5794/7 - l. Find the common denominator of i and -17/4.
36
Suppose -3*o - 82 = -h, -2*h = 4*o + 18 + 88. Let u = -19 - o. What is the lowest common multiple of u and 22?
88
Find the common denominator of -53/5 and 19/950*(-505)/(-6).
60
Let u = -2531 - -27871/11. Find the common denominator of 21/2 and u.
22
Suppose -21*n = -11 - 73. What is the lowest common multiple of 14 and n?
28
Let d = 571296744 - 5902638044005/10332. Let k = -5/1148 - d. Calculate the common denominator of 1/3*0 + 58/(-3) and k.
9
Find the common denominator of 2 + ((-51)/6 - 2) and -113/12.
12
Suppose 5*v - 6 = 3*v. Find the common denominator of (-196)/36 + (-1)/v and 61/2.
18
Let m = 1364/3 - 5201/12. Suppose -3*r + 6*r + y = -40, 5*r + 2*y = -68. Find the common denominator of m and (6/4)/(r/(-101)).
8
Let g(q) be the first derivative of -3*q**3 - 5*q**2/2 + 4*q + 2. Let b be g(-4). What is the common denominator of (-722)/b - 4/6 and 67/14?
140
Suppose -7 = a - 23. What is the least common multiple of 52 and a?
208
Find the common denominator of (-3)/(-42)*(-81)/(-6) and 131/24.
168
Let f = -221/512 - 2551529/1536. Let o = 1652 + f. Find the common denominator of 7/2 and o.
12
Suppose 2*y - 30 = -5*x - 2*y, 3*y = -3*x + 21. What is the lowest common multiple of x and 2?
2
Let u = 122660/49609 + 3/2611. Let c = 1059/190 - u. Calculate the common denominator of 8/44 - 942/220 and c.
10
Let l = 13 + -9. What is the smallest common multiple of 2 and 1*l/(-4)*-1?
2
Calculate the least common multiple of (-100 - 0)/((-24)/12) and 6.
150
Let y(w) = w**3 + 11*w**2 + 8. Let o be y(-11). Suppose 3*b - 34 - o = 0. What is the lowest common multiple of b and 18?
126
Calculate the least common multiple of (20/15)/((-6)/(-45)) and 6.
30
Let c(u) = u**3 + u**2 + 19. Let h be c(0). Suppose h = 2*z - 3*p, -3*z + p = -3*p - 28. Calculate the least common multiple of z and 10.
40
Let v be ((-210)/(-27))/((-6)/261). Let z = v - -667/2. Calculate the common denominator of 2/3*(-137)/4 and z.
6
Suppose -5*h + 8 = -22. Let b = h + 0. What is the lowest common multiple of b and 5?
30
Let g(m) = 15*m**3 + 1. Calculate the smallest common multiple of g(1) and 16.
16
Let j = 1911/290 - 252/29. Calculate the common denominator of j and (170/(-28) - 1)/3.
70
Find the common denominator of 16/21 and (-66)/15*35/(-4).
42
Calculate the common denominator of 13/(-4) - 3/12 and 8/24 - (-283)/(-12).
4
Suppose 5*h - 3*b - 6 = -2, -4*b + 8 = 0. Suppose -4*m = h*x - 32, 26 = 3*m - 2*x + 4*x. What is the lowest common multiple of 8 and m?
24
Let b = -26 - -46. What is the smallest common multiple of b and ((-20)/(-14))/(54/378)?
20
Let d(f) = f + 20. What is the lowest common multiple of d(-9) and 16?
176
Let w(s) = -s**3 + 5*s**2 + 2*s + 2. Suppose 0*k = 4*c + 2*k - 78, 5*c - k = 115. Calculate the least common multiple of c and w(5).
132
Let f be 0/2 - 2*-2. Let x(h) = -h**2 + 6*h - 4. Calculate the smallest common multiple of x(f) and 1.
4
Let w be (5/(-10))/(2/24). Let u = 2 + w. What is the common denominator of ((-5)/(-14))/(u/40) and 61/8?
56
Let z = 45/7 - 235/42. Calculate the common denominator of z and -75/4.
12
Let u(w) = -w**3 - 6*w**2 + 8. What is the smallest common multiple of 3 and u(-6)?
24
Suppose 6 = -2*m, -z + m = -2*z - 31797. Let i = z - -572443/18. Calculate the common denominator of i and 17/20.
180
Suppose 0 = -0*s - 4*s + 16. Suppose -2*j = -3*d - d, j - 4*d + s = 0. Suppose j*h = 3*h + 4. What is the lowest common multiple of h and 22?
44
Let p = 913180 + -9116833/10. Let q = p - 1495. Calculate the common denominator of -50/9 and q.
90
Suppose 0*m - 4*m - 192 = 0. Suppose 2*s - 60 = 4*s. Find the common denominator of 0 - 1 - 66/s and m.
5
Suppose -4*g = 3*q + 107, g + 2*g - 5*q = -44. Calculate the lowest common multiple of 4 and g/(-5) - 4/(-10).
20
Suppose 4*c - c = 3. Let l = -3 - c. Calculate the least common multiple of 11 and (-105)/(-12) + (-1)/l.
99
What is the lowest common multiple of 96/(-2)*11/(-33) and 8?
16
Let u = -3522609/200 + 17613. Find the common denominator of u and 47/8.
200
Let v(i) = -6*i - 12. Calculate the least common multiple of 24 and v(-5).
72
Suppose 3*r = 5*r - 24. Let k(h) = 2*h**2 + 4*h + 2. Let v be k(-2). Suppose 22 = 4*g - v. What is the lowest common multiple of r and g?
12
Let d = -6/61 + 3013/244. Find the common denominator of d and 25/16.
16
Suppose 5*w - 4*q = 23, -2*q = 2*w + 1 - 3. Let z = 8 + -3. Suppose -z*v = -y - 2*v + 14, -3*y + 9 = 2*v. What is the smallest common multiple of y and w?
15
What is the common denominator of (-2)/4 - (-106)/24 and 37/24?
24
What is the common denominator of (-8)/28 + 66/280 and -65/18?
180
Let b be (-6)/3 + -3 + 1. Let c = 4 + b. Suppose c*f - 16 = -2*f. Calculate the lowest common multiple of f and 3.
24
Suppose -32 = -4*w - 8. What is the common denominator of (2 + (-9)/w)*85 and -29/4?
4
Let k = 137427/16 + -8585. What is the common denominator of k and -101/26?
208
Let j = 119/40 + -21/40. What is the common denominator of j and (53/12)/(4/6)?
40
Let x = 4539/602 - 57/43. What is the common denominator of x and 1/26?
182
Let n(x) = -x - 3. Let b be n(-6). Suppose -r + b = 2. Suppose j = r + 7. Calculate the least common multiple of 20 and j.
40
Let r = -3561/2 - -21445/12. Calculate the common denominator of r and -65/8.
24
Let a = -92131/36 + -536959/180. Let q = a + 5550. Let c = 17031 - 204503/12. Find the common denominator of q and c.
60
Suppose -52 = 111*a - 112*a. Calculate the least common multiple of 10 and a.
260
Let h be 4764/55 - (4 + -4). Let b = h - 429/5. What is the common denominator of (6/27)/((-4)/321) and b?
66
Suppose -24 = -4*l + 4*m, 2*l + 4*m = -m + 33. What is the least common multiple of 4 and l?
36
Let z = 15 + 31. What is the lowest common multiple of z and 4?
92
Let w(b) = -b**3 + 6*b**2 + 8*b - 3. Let h be w(7). What is the lowest common multiple of 4 and (-272)/(-80) - h/10?
12
What is the common denominator of 28/98 - (-776)/(-70) and 47/5?
5
Let s(r) = 48*r - 8. Let d be s(6). Suppose -2*q = 2*q + d. Calculate the common denominator of 50/11 and 18/42 - 691/q.
110
Let p(c) = -c - 5*c + 2*c + c - 6. Suppose -3*y - 30 = 2*y. Calculate the lowest common multiple of 6 and p(y).
12
Let q be 0 - (-10*1 - -1). Suppose -h - 4*w - 6 = -3*h, 3*w = -3*h + q. Calculate the smallest common multiple of 35/h + (-8)/12 and 10.
110
What is the common denominator of 5/10*(-178)/(-8) and -1 - (0 - (-102)/14)?
56
Find the common denominator of 49/20 and (206/(-120))/((-6)/18).
20
Suppose -3*w - 5*o + 22 = -0*o, -5*w + 3*o = -82. Let k = -16 + 36. What is the least common multiple of k and w?
140
Let l be (-12)/(-27)*3*6. Calculate the common denominator of 1 + -1 - (-57)/15 and -4 - ((-125)/l)/1.
40
Let y = 9181 + -183573/20. Let s = 61/30 - -7/15. Find the common denominator of s and y.
20
Let l = 13594402 + -598053923/44. Let j = l - -213/11. Let a = j - 2298. Calculate the common denominator of a and -11/8.
8
Let n = -46 + 54. Calculate the smallest common multiple of 10 and n.
40
Calculate the common denominator of -34 and 1/(-3) + (-475)/(-165).
11
Calculate the common denominator of (3 + (-60)/(-32))*176/36 and -1/5.
30
Let h be 4/((-10)/6 - -1). Let i = h + -4. Find the common denominator of 63/30 - (-4)/i and


ommon multiple of 27 and 87.
783
Calculate the common denominator of 93/280 and 73/15.
840
Calculate the lowest common multiple of 28 and 105.
420
Calculate the least common multiple of 160 and 320.
320
What is the smallest common multiple of 9 and 45?
45
Calculate the least common multiple of 2 and 116.
116
What is the lowest common multiple of 1431 and 1749?
15741
Find the common denominator of -79/20 and 9/445.
1780
Calculate the common denominator of 93/2200 and -57/4400.
4400
Find the common denominator of -7/36 and 121/114.
684
Find the common denominator of 71/2088 and -133/36.
2088
What is the least common multiple of 1699 and 6?
10194
Find the common denominator of -81/8 and -42/5.
40
What is the least common multiple of 87 and 8?
696
Find the common denominator of 49/60 and -121/730.
4380
What is the common denominator of -65/34 and 41/1142?
19414
What is the smallest common multiple of 3 and 15?
15
What is the common denominator of -41/168 and 41/140?
840
What is the common denominator of 3/10 and 77/13894?
69470
What is the least common multiple of 70 and 70?
70
Calculate the least common multiple of 270 and 4095.
24570
Calculate the least common multiple of 258 and 228.
9804
Find the common denominator of 47/20 and 115/5516.
27580
Find the common denominator of -73/10 and -57/2.
10
Calculate the least common multiple of 104 and 12.
312
What is the smallest common multiple of 549 and 90?
5490
What is the least common multiple of 13 and 52?
52
Find the common denominator of 7/184 and -9/5.
920
Find the common denominator of 113/880 and 123/880.
880
Calculate the lowest common multiple of 4692 and 816.
18768
What is the common denominator of -41/108 and -113/20?
540
What is the smallest common multiple of 112 and 80?
560
Find the common denominator of 9/79 and 53/11.
869
Find the common denominator of -103/54 and 11/183.
3294
What is the common denominator of 85/16 and 57/407?
6512
What is the common denominator of 4/45 and 77/470?
4230
Find the common denominator of 49/690 and -14/115.
690
What is the least common multiple of 354 and 3?
354
Find the common denominator of -44/179 and 29/5.
895
What is the smallest common multiple of 3128 and 20?
15640
What is the common denominator of 45/142 and -1/880?
62480
Calculate the common denominator of -79/298 and -57/26.
3874
What is the common denominator of -103/126 and -161/30?
630
Calculate the least common multiple of 2760 and 920.
2760
Calculate the smallest common multiple of 472 and 4012.
8024
What is the common denominator of -43/748 and 14/9?
6732
What is the lowest common multiple of 14 and 466?
3262
What is the common denominator of -85/42 and -44/19287?
270018
What is the lowest common multiple of 12 and 24?
24
Calculate the common denominator of 11/28 and -59/10.
140
What is the smallest common multiple of 2 and 114?
114
What is the common denominator of 125/24 and 77/237?
1896
What is the lowest common multiple of 252 and 112?
1008
What is the common denominator of -55/4 and 69/496?
496
What is the smallest common multiple of 11380 and 10?
11380
Calculate the common denominator of 57/514 and 29/5.
2570
Calculate the common denominator of 91/50 and 43/35.
350
What is the least common multiple of 5 and 634?
3170
What is the least common multiple of 396 and 4?
396
What is the least common multiple of 18 and 54?
54
What is the common denominator of -39/605 and -8/187?
10285
What is the common denominator of -101/8 and 97/142?
568
What is the least common multiple of 27 and 51?
459
What is the smallest common multiple of 14 and 4514?
31598
Calculate the lowest common multiple of 16 and 5224.
10448
What is the common denominator of 37/410 and 24/205?
410
Calculate the smallest common multiple of 2 and 634.
634
What is the common denominator of 117/224 and -27/448?
448
What is the common denominator of 113/20 and 19/48?
240
What is the lowest common multiple of 981 and 981?
981
Calculate the least common multiple of 180 and 36.
180
What is the common denominator of 10/21219 and 8/5?
106095
What is the common denominator of 113/1792 and 53/2304?
16128
Calculate the lowest common multiple of 138 and 30.
690
Calculate the smallest common multiple of 2205 and 882.
4410
Calculate the lowest common multiple of 15 and 5.
15
Calculate the common denominator of 65/12 and 79/56.
168
Calculate the smallest common multiple of 60 and 1494.
14940
Find the common denominator of 57/14 and 139/6.
42
What is the common denominator of 33/365 and 31/292?
1460
What is the least common multiple of 34 and 18?
306
What is the smallest common multiple of 48 and 39?
624
Calculate the common denominator of -38/259 and -37/7.
259
What is the lowest common multiple of 496 and 8?
496
What is the common denominator of 43/64 and -71/64?
64
Calculate the smallest common multiple of 13890 and 5093.
152790
What is the common denominator of -69/1750 and 89/60?
10500
What is the common denominator of -37/268 and -85/28?
1876
What is the least common multiple of 11 and 1871?
20581
What is the common denominator of -9/5390 and 26/5?
5390
Calculate the least common multiple of 154 and 56.
616
Calculate the common denominator of -137/36 and 61/40.
360
Find the common denominator of -19/7 and 5/1943.
13601
Calculate the lowest common multiple of 578 and 3.
1734
Find the common denominator of -63/16 and -85/36.
144
What is the common denominator of -67/207 and 5/243?
5589
What is the lowest common multiple of 30 and 30?
30
What is the common denominator of 56/45 and 143/36?
180
What is the lowest common multiple of 176 and 220?
880
What is the common denominator of -41/152 and -23/114?
456
Calculate the common denominator of 89/4 and -21/34.
68
Calculate the common denominator of -53/986 and 23/638.
10846
What is the common denominator of -43/1638 and -26/35?
8190
Find the common denominator of -65/654 and -111/1090.
3270
Calculate the lowest common multiple of 2 and 199.
398
What is the lowest common multiple of 345 and 75?
1725
Calculate the common denominator of 139/18 and -41/1065.
6390
Find the common denominator of 43/272 and 75/5024.
85408
What is the smallest common multiple of 469 and 14?
938
Calculate the lowest common multiple of 10 and 1006.
5030
Find the common denominator of 5/672 and -67/48.
672
What is the lowest common multiple of 1323 and 14742?
103194
What is the common denominator of 69/44 and 119/40?
440
Calculate the common denominator of -127/3650 and -93/16.
29200
Calculate the lowest common multiple of 462 and 726.
5082
Calculate the common denominator of -83/8 and 29/36.
72
Calculate the least common multiple of 42 and 3.
42
What is the common denominator of 95/172 and -51/3698?
7396
What is the common denominator of 115/18 and 1/198?
198
Find the common denominator of 64/1485 and 11/1215.
13365
What is the lowest common multiple of 205 and 3854?
19270
Calculate the common denominator of -23/2 and 141/280.
280
Calculate the lowest common multiple of 828 and 36.
828
Find the common denominator of 143/48 and -151/36.
144
What is the common denominator of -5/23 and -17/23?
23
What is the common denominator of 53/136 and -113/80?
1360
Find the common denominator of 153/770 and 47/280.
3080
What is the lowest common multiple of 2204 and 6?
6612
Calculate the common denominator of 41/140 and -67/20.
140
What is the least common multiple of 51 and 12?
204
What is the lowest common multiple of 2113 and 9?
19017
Calculate the least common multiple of 1 and 7.
7
Calculate the common denominator of -19/17334 and 65/63.
121338
Calculate the smallest common multiple of 9 and 364.
3276
Find the common denominator of 35/2 and 77/68.
68
Calculate the least common multiple of 135 and 110.
2970
What is the least common multiple of 560 and 800?
5600
Calculate the least common multiple of 668 and 1670.
3340
Find the common denominator of -79/22 and -51/92.
1012
Calculate the smallest common multiple of 10 and 394.
1970
Find the common denominator of 85/572 and 97/18.
5148
Calculate the common denominator of 59/100 and -67/600.
600
What is the smallest common multiple of 60 and 240?
240
What is the lowest common multiple of 322 and 14?
322
Calculate the least common multiple of 5816 and 2908.
5816
Calculate the sma