text stringlengths 270 8.19k | meta dict |
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-20539/156)
Simplify b*b**(-10/7)*b**(-1/20)*b**(7/9)/(b/(b*b*b**(17/2)/b*b)) assuming b is positive.
b**(12347/1260)
Simplify ((n/n**10)/(n/n**(6/11)*n))/(n**(-8)*n*n**(1/15)) assuming n is positive.
n**(-581/165)
Simplify ((m/m**(2/7))/(m**(-3/19)*m))**33 assuming m is positive.
m**(-561/133)
Simplify w/(w*w**16)*(w*w/(((w**(-13)*w)/w)/w)*w)/w*w*(w*w**1)/(w*w**7) assuming w is positive.
w**(-5)
Simplify (w**(-4)*w/(w/(((w**(-5)*w*w)/w)/w))*(w*w**3)/(w/(w/w**(-1/7)*w*w)))**(-26) assuming w is positive.
w**(520/7)
Simplify (v*v**(-7/3)/v*v**(-8))/(v**(-3/10)*v/(((v/v**(-5/2))/v*v)/v)) assuming v is positive.
v**(-128/15)
Simplify (r*r**(-6/7))**(2/9)/(r/(r/(r**(-1)*r*r*r*r)))**7 assuming r is positive.
r**(-1321/63)
Simplify (((a/a**(3/8))/a*a)/(a**(10/3)/a))/(a**(4/15)/((a/a**13)/a*a)) assuming a is positive.
a**(-559/40)
Simplify (u*((u/(u/u**(-1)))/u)/u)**(-2/47)*u**(-2/3)*u*u/(u*u**(5/8)*u*u*u)*u assuming u is positive.
u**(-2489/1128)
Simplify (((s**(-10/3)*s)/s)/s**(-3/5))/((s*s*s**(-6)/s*s)/(s*(s/((s/(s/(s/(s*s**(-31)))))/s))/s)) assuming s is positive.
s**(-416/15)
Simplify (z/z**11*z*z**(3/5)*z*z*z)/(z**(-8)*z*z*z**(4/3)) assuming z is positive.
z**(-11/15)
Simplify ((d*d/d**(-2/5)*d)**(1/8)*d**1/(d*d**(-7)*d))**(-22) assuming d is positive.
d**(-2827/20)
Simplify (d/d**11*d**(-5/2)/d)/(d**(2/15)/d*d/d**(-4)) assuming d is positive.
d**(-529/30)
Simplify (x**(6/7)/((x/x**(2/7)*x*x)/x))/(x**(1/3))**(-25) assuming x is positive.
x**(157/21)
Simplify j**(1/8)/((j/(j*j**2*j)*j)/j)*((j**1*j*j)/j)/j*(j/(j/(j*(j/j**7)/j*j))*j)/j assuming j is positive.
j**(-7/8)
Simplify (((o/(o/o**2*o*o))/o*(o/o**3)/o*o)**(-3/5))**(-11/6) assuming o is positive.
o**(-33/10)
Simplify (h/(((((h*h/(h/h**(1/8)))/h*h)/h)/h)/h)*h)/(h*h**(2/17)*h)*(h**(4/5))**(-44) assuming h is positive.
h**(-22741/680)
Simplify (s*s*s*s/((s/(s/(s/(s*s*s**(-7)*s*s)))*s)/s)*s*s**(4/11))/(s*s**(2/13)*s)**(2/31) assuming s is positive.
s**(5429/4433)
Simplify ((y/(y*y**(-11))*y*y)/(y*y**4))/(y**10*y**(-9/7)) assuming y is positive.
y**(-5/7)
Simplify (t/(t*t**(-6)))**(6/13)*(t**1)**(-50) assuming t is positive.
t**(-614/13)
Simplify (r**(-21))**(-1/6)/((r*r/r**(2/17))/r)**(3/7) assuming r is positive.
r**(743/238)
Simplify ((i*i/i**(-7)*i)/i**(-1/4))/(i/(i**(11/3)/i*i)*i**(-1/2)) assuming i is positive.
i**(161/12)
Simplify m**(-23)*m**(11/4)*m*m*m**(-1/5)*m*(m/(m*m/(m*m/(m/((((m**(-1/5)/m)/m)/m)/m)))))/m assuming m is positive.
m**(-453/20)
Simplify ((q**(-2)*q)/q**(-18))/(q**(-16)*q/q**15) assuming q is positive.
q**47
Simplify ((s*s*s*s/(s/(s**1*s)*s)*s)**(-1/18)/((s**(-3)*s*s)/(s/(s**(1/8)*s)*s)))**(2/75) assuming s is positive.
s**(23/540)
Simplify (((x**(1/7)*x)/x)/x**(-6)*(x**(-2/13)*x)/x*x*x*(x**(-7/2)*x)/x)**(-20) assuming x is positive.
x**(-8170/91)
Simplify (d**(-27)/d)/((d*d/(((d/(d**(-2/35)*d))/d)/d*d))/d*d)*((d**28/d)/d)/(d**(-1/2)/d) assuming d is positive.
d**(-241/70)
Simplify (p**(-11))**(-26)*p**(-2)/p*p**(2/31) assuming p is positive.
p**(8775/31)
Simplify (h*(h/((h/(h*h/(h*h/(h**(-2/13)*h)*h))*h)/h))/h)**30/(((h**10/h)/h)/h)**(1/3) assuming h is positive.
h**(-271/39)
Simplify ((q**(-1/9)*q)/(q**0/q)*q**0*q**(-2))**(-22) assuming q is positive.
q**(22/9)
Simplify ((r**3/r)/r)/(r**11/r)*((r*r**(-17))/r)/r**4 assuming r is positive.
r**(-30)
Simplify ((h**(1/2)/h)**(-20)*(h**2*h*h)**(5/6))**27 assuming h is positive.
h**360
Simplify i**(-7)*i*i*i**(-11/4)*i*i**(-8)/(i/(i/(i**(-9)/i))) assuming i is positive.
i**(-19/4)
Simplify (l**(16/9)*l/((l/l**8)/l))/((l*l**(1/21))/l)**(-2/41) assuming l is positive.
l**(27845/2583)
Simplify (u/(u/((u**(-1)*u)/u)*u*u))**30/((u/u**(-4/3))/(u**5/u)) assuming u is positive.
u**(-265/3)
Simplify (((y**6/y)/y**(1/10))**12)**(3/8) assuming y is positive.
y**(441/20)
Simplify ((n*n*n**(-3/8))/(n*n**(-3)))/(n**15/(n**15*n)) assuming n is positive.
n**(37/8)
Simplify k*k/k**(-1/3)*k**(2/11)*(k/((k/k**(2/13))/k))/((k/k**(-1)*k)/k) assuming k is positive.
k**(716/429)
Simplify (((j*j**(-5)/j)/j**(-11))**(6/19))**41 assuming j is positive.
j**(1476/19)
Simplify (((f*((f/((f*f**(2/25))/f))/f*f)/f)/(f*f/((f/f**1*f)/f*f)*f))**(-16))**(-26) assuming f is positive.
f**(-11232/25)
Simplify q*q**22*q/(q*((q/(q**(-24)/q))/q)/q)*q**23*q**19 assuming q is positive.
q**41
Simplify ((y/(y/(y*y**(-2/17)))*(((y/(y/(y/(y/y**(4/7)))))/y)/y)/y)/(y**(-1)*y*y)**(11/3))**(12/11) assuming y is positive.
y**(-7444/1309)
Simplify (m**28*((m*m/(m*(m*m/((m/m**(3/37))/m))/m))/m)/m)/(m*(m**(-17)/m)/m)**38 assuming m is positive.
m**(26267/37)
Simplify ((((((h*(h**(-1/4)/h)/h)/h)/h)/h)/h)/(h*h**(3/8)/h)*((h**(2/7)*h)/h)**(14/11))**42 assuming h is positive.
h**(-9723/44)
Simplify ((m**(3/2)*m)/(m*(m*m**(-14))/m*m))/(m**(-1)*m*m*m/(m/(m/((m*m**32)/m)*m))) assuming m is positive.
m**(87/2)
Simplify (p**(-1/10)*p**(1/4))/(p*p**2)**(9/5) assuming p is positive.
p**(-21/4)
Simplify (i**(-20)/i*i*(i**19*i*i)/i*i)/(i**(-2/17)*i*i/i**(-5)) assuming i is positive.
i**(-100/17)
Simplify ((j**(1/25))**26)**(1/5) assuming j is positive.
j**(26/125)
Simplify n**(-18)/(n*n*n*((n/(n/((n*n**(-28/3)*n*n*n)/n)))/n)/n*n)*(n**(-2/5)*n)/(n/(n**(-6)/n)) assuming n is positive.
n**(-316/15)
Simplify (t/(t/(t/(t/t**24))*t)*((t/t**(-1/11)*t)/t)/t)/((t*t/(t/(t/(t*t**(-5/2))))*t)/t**6) assuming t is positive.
t**(541/22)
Simplify ((c**(-1/3)*c)**(2/9)/(c**(-3/2)*c**(-8)))**(-2/165) assuming c is positive.
c**(-521/4455)
Simplify (l**(7/9)*l**(-2/49))**(-5/2) assuming l is positive.
l**(-1625/882)
Simplify (s/(s*s*s**(-8/3)*s)*s*s/s**(1/14))**(1/14) assuming s is positive.
s**(109/588)
Simplify g**10*g*g*(g/(g/(g**(-5/3)/g)))/g*g*(g*g**(-5)/g*g)**(-3/22) assuming g is positive.
g**(326/33)
Simplify b*b/(b/(b**(3/11)*b))*b**(1/10)*(b*b/b**(-3/2)*b)**(-4/11) assuming b is positive.
b**(81/110)
Simplify ((b*b**(-2/9))**9)**50 assuming b is positive.
b**350
Simplify (j*(j*j**(1/40)/j)/j*j**(-1))/(j*j/(j*j**(-22))*j**(-3/14)/j) assuming j is positive.
j**(-6373/280)
Simplify (((v/(v**9/v))/v)/(v*(((v*v**(1/3))/v)/v)/v))/(v/v**4)**(-31) assuming v is positive.
v**(-301/3)
Simplify (y*y*(y*y/y**(2/17))/y*y*y)**(-9/4)/(y/(y*y/(((y/y**(-4))/y*y)/y*y*y)))**(9/2) assuming y is positive.
y**(-2277/68)
Simplify (i**(1/2)/(i*i*(i**(13/4)*i)/i))/((i/(((i/(i**(-1/2)/i))/i*i)/i))/i**(-1/20)) assuming i is positive.
i**(-43/10)
Simplify l/l**(-3/4)*l**(-10)*l*l**(-2)*l**12 assuming l is positive.
l**(11/4)
Simplify (((p/(p**(-6/13)/p)*p*p)**39)**(-30))**(-2/57) assuming p is positive.
p**(3480/19)
Simplify v**4/(v/(v**(-12)*v))*(v*(v/v**(-2/11))/v*v)**(-13/2) assuming v is positive.
v**(-244/11)
Simplify ((m*m**(-2/13)*m)/m*m*(m**(15/8)*m)/m*m)**(-1/37) assuming m is positive.
m**(-491/3848)
Simplify (((g/(g/(g/g**(-3))))/g)/g**(14/5))/((g/(g**(2/5)*g*g))/g)**(9/4) assuming g is positive.
g**(28/5)
Simplify (u**(1/2))**3/(u**(3/17)/(u*u*u*u**(-1))) assuming u is positive.
u**(113/34)
Simplify (d**(2/17)*d**(-4/7))/(d**(-5))**(-33) assuming d is positive.
d**(-19689/119)
Simplify (y**(-1/9)*y/(y/(y**(1/19)/y)))/(y/y**(3/8))**(-13) assuming y is positive.
y**(9667/1368)
Simplify (b**8/((b/(b/b**(2/19)))/b)*(b*b**(-4/5))/(b/(b/b**5*b)))**(10/11) assuming b is positive.
b**(88/19)
Simplify (f**(-4)*f*f**(2/19))/(f**(-3))**(3/8) assuming f is positive.
f**(-269/152)
Simplify (b**(1/6))**(-2/77)*b*b**(-4)*b**(2/9) assuming b is positive.
b**(-1928/693)
Simplify (b*b**(1/18)*b/(b*b**21))/(b**3*b**10) assuming b is positive.
b**(-593/18)
Simplify (q/(q**(-39)*q)*q**(1/34)*q)**26 assuming q is positive.
q**(17693/17)
Simplify (j*j**(3/4))**(6/11)/((j/j**(1/7)*j)/(j/((j/j**(-15))/j))) assuming j is positive.
j**(-2295/154)
Simplify ((b/(b/(b**(-10)*b))*(b**(-4/5)/b)/b)**(4/11))**(14/11) assuming b is positive.
b**(-3304/605)
Simplify (w/(w*w**(-7)/w))**44*(w*w**23*w)/(w**(-13)/w) assuming w is positive.
w**391
Simplify q**(-8/3)*q*q**8*q/(q*q**(4/5)/q*q)*q*q**12 assuming q is positive.
q**(278/15)
Simplify (a**12/(a/(a/(((a*(a/(a/a**7))/a*a)/a)/a))*a))/(a/a**(-18)*a*a/(a/a**(-16))*a) assuming a is positive.
1
Simplify (n/(n**(-20)/n))/n**(-25)*((n/(n**1/n)*n)/n)**(-2/11) assuming n is positive.
n**(515/11)
Simplify ((k/(k*k/k**(3/4)*k))/(k*k*k**(-31)))**(1/5) assuming k is positive.
k**(111/20)
Simplify ((t**0/t)** | {
"pile_set_name": "DM Mathematics"
} |
+ 28*m - 31 to t*m + q and give t.
-182
Rearrange 243 - 243 + 5*p**3 - 48*p**2 + 48*p**2 + 6*p**3 + (0 + 0 - 2*p**2)*(-p - p + p) to the form w*p**2 + o*p + g + t*p**3 and give t.
13
Rearrange -l**4 + l**3 - 2*l + 58 + 3*l**2 + 61 - 182 + 63 to a*l**4 + x*l + q*l**3 + y*l**2 + w and give q.
1
Express 18 - 18 + 36*y**2 + 48*y**2 as i*y**2 + u*y + l and give i.
84
Express -8*u + 4*u - 1 - 3*u**3 + 4*u**3 + 3*u**2 + 0*u - 3*u**4 as j*u + g*u**2 + h + n*u**4 + v*u**3 and give g.
3
Rearrange -2*v**2 - v**3 + 23*v - 3*v**4 + 0*v**2 - 3*v**3 + 2*v**3 to the form r*v**3 + n*v**4 + y*v + b*v**2 + s and give y.
23
Rearrange (7*l**2 - l**2 - 2*l**2)*(-36*l - 19*l - 39*l) to p*l**2 + x*l + u + w*l**3 and give w.
-376
Rearrange -3*h**2 + 18*h - 5*h**3 - 63*h + 45*h to the form q*h**3 + g*h + b + i*h**2 and give i.
-3
Rearrange 282 + 8*l + 2*l**2 + 15*l + 3*l**3 - 285 to the form f*l**3 + q*l**2 + p + a*l and give a.
23
Express 8*d - 6*d - 42*d**3 - 69*d**3 + 18*d**3 in the form t*d + p*d**2 + j*d**3 + m and give j.
-93
Express 987*z - 2053*z + 844*z as p + q*z and give q.
-222
Express 18*m - 34*m - 27*m - 126*m in the form y*m + g and give y.
-169
Rearrange -366*t - 280*t + 274*t + 1248*t to the form j*t + g and give j.
876
Rearrange (-68*d**3 - 27*d + 27*d)*(-103 + 6*d + 110 - d) to the form q*d**4 + l + i*d + k*d**3 + a*d**2 and give l.
0
Express 31*n + 2 - 2 - 397*n in the form a + u*n and give u.
-366
Express -264*g - 31*g + 10*g + 7*g in the form v*g + m and give v.
-278
Express ((2 + 2 - 2)*(-3*x + 0*x + x) + 2*x - 1 + 1)*(23 + 11 + 16) - 6*x + 3*x + 2*x as o + r*x and give r.
-101
Express -3*d + 2*d + 8*d - 71*d**2 - d - 3*d in the form c*d**2 + n + y*d and give c.
-71
Rearrange (-5*j - 3*j + 3*j)*(41 - 39 + 2*j + 91) to d*j + m + y*j**2 and give y.
-10
Rearrange (-4*k**2 + 2 - 2 + (0 + 1 + 2)*(-k**2 - 3*k**2 + 5*k**2))*(7*k**2 + 5*k**2 - 6*k**2) to the form h + j*k**3 + w*k + s*k**2 + t*k**4 and give h.
0
Express (-180*w + 102*w - 112*w)*(-2 - 2*w**3 + 1 + 3) as b*w**4 + a*w**2 + c*w + o + f*w**3 and give o.
0
Express (-168 + 281 - 135 - 75*k)*(3 + 0 - 1)*(0*k - 2*k + 3*k) in the form j + x*k + g*k**2 and give x.
-44
Express 18*h**2 - 4*h**3 + 2*h**4 - 6*h - 3*h**4 + 28*h**2 - 48*h**2 in the form m*h**2 + w + g*h**4 + z*h + t*h**3 and give t.
-4
Rearrange -263*b**2 - 1042*b**2 - 736*b**2 + 286*b**2 to w*b**2 + f + s*b and give w.
-1755
Rearrange (-3 + 3*q**2 - 14 - q**2)*((8*q - 5*q + 9*q)*(2 - 4 + 1) - 3*q - q + 6*q) to the form f + r*q**3 + z*q**2 + v*q and give r.
-20
Rearrange -674*q - 11776 + q**3 + 11776 to the form x*q**2 + h*q + r*q**3 + u and give r.
1
Express -157 - 145*x - 159 + 27*x + 2*x**2 + 316 as r + d*x + i*x**2 and give d.
-118
Express 448 - 10*a**3 - 489 - 12*a**3 in the form i*a + f + h*a**2 + v*a**3 and give f.
-41
Express (-8*a - a - a - 4*a - a + 0*a - 2*a + 2 - 2 - 3*a + 2*a + 2*a + (2 - 1 + 0)*(4*a + 0*a - 2*a))*(-6*a - a - a) as l + b*a + f*a**2 and give f.
112
Rearrange -1974*l**3 + 1974*l**3 + l**4 + 6 + l + l**2 + 0 to x*l + t + j*l**4 + n*l**2 + f*l**3 and give t.
6
Express (72 - 193 - 73)*(-2*u**2 - 2*u**2 + 3*u**2 + (2*u + 0*u - u)*(-u + u + u) + 0*u**2 - 3*u**2 + 5*u**2) in the form x*u**2 + b*u + h and give x.
-388
Express 6 + 7 + 12*t - 20 + 6 in the form g*t + k and give k.
-1
Express 49*j**2 + 35 - 35 + 117*j**2 in the form c*j**2 + m*j + f and give c.
166
Express (0*r**2 - 2*r**2 + 4*r**2)*(2 - 2 + r) + 2134*r**3 + 33*r**3 + 687*r**3 in the form n*r**2 + f*r**3 + q + a*r and give f.
2856
Rearrange (25*u - 1801 + 1801)*(3 - 4 - 5) to b + s*u and give s.
-150
Rearrange (-2 - 4 + 5)*(-23*h**2 + 67*h - 67*h)*(2 - 5 + 1) to the form u*h**2 + t + o*h and give u.
-46
Rearrange 2*n**2 + 8*n**2 + 10*n**2 - 7*n**2 to the form b + w*n + h*n**2 and give h.
13
Rearrange (2*o - 6*o + 2*o)*(-6229 + 7762 + 7320 + 9190 - 854) to the form u*o + c and give u.
-34378
Express -61*t + 83*t - 128*t + (t + 3*t + 2*t)*(-4 + 2 + 1) as n + m*t and give m.
-112
Rearrange 15*r + 7*r + 19*r + (-5*r - r + 2*r)*(-5 + 2 + 2) to the form k*r + p and give k.
45
Express -1 + 2*h**2 + 160*h - 158*h - 16*h**4 - 2*h**3 + 18*h**4 + 5 as x*h**3 + g*h**4 + m + l*h**2 + d*h and give d.
2
Rearrange (1 - 3 + 3)*(-2*o - 32*o**3 - o**2 + 2*o**2 + 31*o**3) to p + v*o**2 + b*o + u*o**3 and give v.
1
Rearrange -7*h - 453*h**2 - 20*h - 7 + 446*h**2 + 7 to w*h**2 + a + u*h and give w.
-7
Rearrange 11 + 2374*b - 1184*b + b**2 - 1188*b to c*b + s*b**2 + a and give a.
11
Express (3 - x - 3 + x + 4 - 4 - 3*x + 2*x + 0*x + (-x - 2 + 2)*(2 + 2 - 6))*(46 - 25 + 110) as q*x + b and give q.
131
Rearrange 4*s**4 + 6*s - 3 + 5 - 26*s**3 + 29*s**3 to the form c + z*s**4 + i*s**3 + m*s**2 + o*s and give o.
6
Rearrange (-8*t + 16*t - 14*t)*(3 + 16 + 18)*(-3 + 3 + 1) + 0 - 2*t + 0 + (-t - 1 + 1)*(-3 + 2 + 3) to o + v*t and give o.
0
Express -23*w**3 + 5*w**2 - 5*w**3 - 2*w**2 + 189*w + 9*w**3 - 188*w as y*w**3 + l + m*w**2 + h*w and give h.
1
Rearrange -23*w**2 + 531*w**2 - 235*w**2 to i*w**2 + r + j*w and give r.
0
Rearrange 5*w + 7 + 0 + 3 - 5 to l + n*w and give l.
5
Rearrange (4 + 16 + 11)*((-4 + 4 - 2*d)*(3*d + 3*d - 4*d) + (-4*d**2 - d**2 - 2*d**2)*(-2 + 1 + 3)) to z + p*d + s*d**2 and give s.
-558
Rearrange 451*n - 234 + 463 - 229 to p + j*n and give j.
451
Rearrange -a**2 + 4*a**2 - 2*a**2 + (3*a**2 - 7*a**2 + 2*a**2)*(3 - 4 + 3) + (271 - 749 + 390)*(a - a + a**2) to the form i + t*a**2 + j*a and give t.
-91
Rearrange 40 + 25*h**2 - 26 + 4*h**3 + 46 - 23*h**2 to the form y + u*h**2 + o*h + s*h**3 and give y.
60
Express 8856*x**2 + 55*x**3 - 4427*x**2 + x**4 - 4410*x**2 as b*x**3 + f*x**2 + p*x**4 + s*x + l and give p.
1
Rearrange (-1 + 1 - 1)*(j + 0 + 0) - 270*j + 542*j - 270*j + 308 to z*j + o and give z.
1
Rearrange 3 - 252*d - 3 + 87*d to f*d + o and give o.
0
Express ((-5*m + 3*m + m)*(3 - 5 + 3) + 4 - 4 + 2*m)*(-95 - 39*m + 44 + 42*m) in the form k + l*m + a*m**2 and give k.
0
Rearrange -24 + 4*k - 21 + 47 + (-1 - 1 + 3)*(5*k - 5*k + k) - k - 1 + 1 + 0 - 2*k + 0 to f + h*k and give h.
2
Rearrange (2 - f**2 - 2)*(-3 + 0 + 2) + 8049848*f + 1402*f**2 - 8049848*f to i*f + z + c*f**2 and give c.
1403
Rearrange -19*n + 3*n**3 - 47*n + 48*n to the form l*n + a*n**3 + j*n**2 + v and give l.
-18
Express -2*b - 4 - 12*b + 4 + 1 as q*b + r and give r.
1
Rearrange (n + 2*n - n)*((-1 - 3 + 2)*(-3*n + 2*n + 3*n) + 3*n - n - 3*n + 4*n - n - 4*n + (1 - 1 - 2)*(n + 0*n + n)) to the form t*n + x*n**2 + w and give w.
0
Express 12*t**2 - 4 + 1 - 2 - 6 as a*t + g + h*t**2 and give h.
12
Rearrange -10*u**2 + 32*u**2 - 2*u - 23*u**2 + 3 to the form t + f*u + q*u**2 and give f.
-2
Express 3*t**2 + t**2 - 146*t + 43*t + 57*t as u*t**2 + q + z*t and give z.
-46
Express (-4*t**2 - t**2 + 4*t**2)*(-13 - 21 + 844*t**2 + 34) as y*t**4 + r*t + a*t**3 + q*t**2 + n and give y.
-844
Rearrange (-197 + 197 - 35*a**3)*(10*a - 6*a + 10*a) to the form h*a + j + w*a**2 + o*a**3 + b*a**4 and give b.
-490
Express (-4 - 6 + 3)*(-373*v - 1 + 62*v + 39*v) in the form t + n*v and give n.
1904
Express 4*o - 3*o + 620 + 392 - 5 as v*o + c and give v.
1
Express -3*b**2 + 40 + 30*b**2 - 41 - 3*b in the form v*b**2 + k + l*b and give k.
-1
Express 4*u**2 - u**2 + 49 + 47 - 168 as l + q*u + p*u**2 and give l.
-72
Rearrange -121*r + 58*r + 388*r + 891*r to m*r + s and give s.
0
Express -1471*h**2 + 2*h - 2*h - 44*h**2 - 760*h**2 in the form f*h**2 + j + r*h and give f.
-2275
Express -47*d**3 - d**2 - 2*d - 2 + 96*d**3 + 99*d**3 in the form n*d + u*d**2 + y + s*d**3 and give s.
148
Rearrange (-5*m - 6*m - 12*m)*(0 + 0 - 13*m) to x*m**2 + g + w*m and give x.
299
Rearrange -13 + 12 + 18 - 2*o**4 + (2*o + 3*o - 2*o)*(-o**3 + 0*o**3 + 0*o**3) to the form h*o**3 + j*o**4 + a*o + s*o**2 + w and give w.
17
Rearrange 71225*f - 71225*f + 126*f**2 to the form y + c*f + p*f**2 and give p.
126
Rearrange (8 - 293*x + 290*x + 15)*(-5*x**3 + 4*x**3 + 2*x**3) to the form n + a*x**3 + t*x**4 + l*x + b*x**2 and give t.
-3
Express -15 - 10*m**3 + 29*m**3 + 22 + 15 - 17*m**3 as f + s*m**2 + o*m**3 + i*m and give f.
22
Express 1 - 8*v - 15*v + 3739*v**3 - 3731*v**3 as z*v + k + p*v**3 + j*v**2 and give k.
1
Rearrange (0*x - 4*x + 5*x)*(23*x**3 - 86*x**3 + 13*x**3 - 54*x**3) to the form i*x**2 + u + a*x**4 + k*x**3 + s*x and give a.
| {
"pile_set_name": "DM Mathematics"
} |
29)*(q - 1027)/3
Let -5*f**5 + 298205*f**4 - 4460145200*f**3 + 412218350340*f**2 = 0. What is f?
0, 93, 29774
Factor -2*b**3/9 - 868952*b**2/3 - 2606854*b/9.
-2*b*(b + 1)*(b + 1303427)/9
Let 4*b**4 + 106*b**3 - 3232*b**2 + 16574*b + 9108 = 0. What is b?
-46, -1/2, 9, 11
Factor 68*p**4/13 - 496974*p**3/13 + 1210774824*p**2/13 - 983505202848*p/13 + 433663735680/13.
2*(p - 2436)**3*(34*p - 15)/13
Determine w so that -4*w**3 - 5884*w**2 - 1659632*w + 1665520 = 0.
-1090, -382, 1
Factor -116*f**3 - 25117706*f**2 - 1359695804504*f + 70329160536.
-2*(f + 108266)**2*(58*f - 3)
Factor 4*i**2 - 862236960*i + 46465785949377600.
4*(i - 107779620)**2
Determine g, given that -3*g**5 + 8487*g**4 + 3937815*g**3 + 7816161*g**2 - 11762460*g = 0.
-404, -3, 0, 1, 3235
Solve r**4 - 121*r**3 - 3399*r**2 + 79749*r + 266490 = 0 for r.
-35, -3, 18, 141
Solve -3*l**4 + 2337*l**3 + 1198461*l**2 - 9701385*l + 18255150 = 0.
-359, 3, 5, 1130
Factor -d**2 - 771691*d - 2315064.
-(d + 3)*(d + 771688)
Solve -2*j**3 - 64122*j**2 - 555090030*j - 645656066550 = 0.
-15345, -1371
Factor -d**2/3 - 8672*d + 260260/3.
-(d - 10)*(d + 26026)/3
Suppose -4*h**3 - 64640*h**2 - 129268*h - 64632 = 0. Calculate h.
-16158, -1
Factor -2*h**3/5 + 25744*h**2/5 - 5790494*h/5.
-2*h*(h - 12643)*(h - 229)/5
Solve -d**4/10 + 65791*d**3/2 - 3947361*d**2/10 + 2960497*d/2 - 1644715 = 0.
2, 5, 328943
Factor -5*j**3 + 397030*j**2 - 1191055*j + 794030.
-5*(j - 79403)*(j - 2)*(j - 1)
Determine y, given that y**5/6 + 2251*y**4 + 14782603*y**3/2 - 4271444194*y**2/3 - 10239787480*y - 17705647008 = 0.
-6844, -4, -3, 189
Determine u, given that 3*u**2/2 + 205178484*u + 7016368382756376 = 0.
-68392828
Solve 3*r**4 - 11226*r**3 - 964692*r**2 + 2063976*r + 7896864 = 0 for r.
-86, -2, 4, 3826
Factor 3*q**3/5 - 20616*q**2/5 - 41289*q/5 + 61866.
3*(q - 6874)*(q - 3)*(q + 5)/5
Find n, given that n**5/8 + 825971*n**4/4 + 341110742495*n**3/4 - 1364483855739*n**2/2 - 23877728848575*n/8 + 100288500991875/4 = 0.
-825975, -6, 7
Suppose -4096*a**3 + 818048*a**2 - 43188433*a + 230565606 = 0. Calculate a.
6, 6199/64
Solve -n**3/4 - 3049*n**2/4 + 2575825*n/4 - 485494727/4 = 0.
-3767, 359
Solve -5*r**4/3 + 22030*r**3/3 + 955585*r**2/3 + 1408850*r = 0 for r.
-38, -5, 0, 4449
Let p**3 + 25549*p**2 - 383434*p + 664664 = 0. Calculate p.
-25564, 2, 13
Find n, given that -4*n**2 - 5499380*n + 10998776 = 0.
-1374847, 2
Let 457*o**3/2 + 16001*o**2/2 + 63171*o + 828 = 0. Calculate o.
-23, -12, -6/457
Let -j**5/6 - 119*j**4/6 - 1223*j**3/2 - 6303*j**2/2 - 4473*j = 0. What is j?
-71, -42, -3, 0
Solve j**5 + 114*j**4 + 419*j**3 - 13626*j**2 + 13284*j + 164808 = 0 for j.
-109, -14, -3, 6
Solve u**4/3 - 396*u**3 + 117389*u**2/3 + 79846*u = 0.
-2, 0, 111, 1079
Let -14*r**4/25 - 5074*r**3/25 - 301844*r**2/25 - 4081104*r/25 - 756864/5 = 0. Calculate r.
-292, -360/7, -18, -1
Determine x so that 2*x**2/5 - 317198*x/5 + 317196/5 = 0.
1, 158598
Factor 3*k**3/4 + 13871523*k**2 - 55486101*k + 55486104.
3*(k - 2)**2*(k + 18495368)/4
Determine g so that 2*g**4/13 + 30654412*g**3/13 - 91963250*g**2/13 + 61308836*g/13 = 0.
-15327209, 0, 1, 2
Find v such that 2*v**5/13 - 4812*v**4/13 - 204670*v**3/13 - 2353296*v**2/13 - 4111840*v/13 - 1958400/13 = 0.
-20, -1, 2448
Determine a so that 2*a**4/9 + 540542*a**3/9 - 32*a**2/3 - 25945760*a/9 + 69189376/9 = 0.
-270271, -8, 4
Suppose -3*d**5/4 + 2913*d**4/4 + 39330*d**3 + 578217*d**2 + 1864272*d + 1718640 = 0. What is d?
-28, -20, -2, 1023
Factor -2*n**3/15 + 23882*n**2/15 + 670264*n/15.
-2*n*(n - 11969)*(n + 28)/15
Determine d, given that d**5/5 + 191*d**4 + 34719*d**3/5 - 116611*d**2/5 - 138892*d/5 + 451164/5 = 0.
-917, -41, -2, 2, 3
Find y such that -2*y**4/9 - 33172*y**3/9 - 139386514*y**2/9 - 15197989856*y/9 = 0.
-8237, -112, 0
Find x such that 2*x**5/19 - 1144*x**4/19 + 42394*x**3/19 + 88228*x**2/19 + 2352*x = 0.
-1, 0, 42, 532
Find j, given that -12*j**5 - 19816*j**4 - 2850568*j**3 - 142806528*j**2 - 2431820556*j - 794844792 = 0.
-1498, -51, -1/3
Solve 2*c**2 - 824260*c + 41208000 = 0 for c.
50, 412080
Suppose 501*k**4 - 1112217*k**3 + 620598573*k**2 - 3679983495*k - 22058082 = 0. Calculate k.
-1/167, 6, 1107
Suppose s**2/2 - 280664905*s + 78772788898659025/2 = 0. What is s?
280664905
Factor -5*m**4 + 4253780*m**3 - 25522560*m**2 + 51045040*m - 34030000.
-5*(m - 850750)*(m - 2)**3
Factor q**2/3 + 224425*q/3 + 523642.
(q + 7)*(q + 224418)/3
Factor -5*m**2 - 9703625*m + 19407270.
-5*(m - 2)*(m + 1940727)
Solve 3*t**4 + 90*t**3 + 519*t**2 - 2232*t + 1620 = 0.
-18, -15, 1, 2
Determine o so that 332*o**5 - 5256*o**4 + 12052*o**3 + 3512*o**2 - 17040*o - 2912 = 0.
-1, -14/83, 2, 13
Factor 3*r**4 + 221925*r**3 + 4104336429*r**2 + 4104114507*r.
3*r*(r + 1)*(r + 36987)**2
What is x in 5*x**2 - 37215*x - 73143350 = 0?
-1615, 9058
Factor -2*a**2/11 - 140796060*a/11 - 2477941313940450/11.
-2*(a + 35199015)**2/11
Determine p, given that -p**3/2 + 246*p**2 - 23530*p = 0.
0, 130, 362
Find k, given that -2*k**5/13 + 2770*k**4/13 - 909214*k**3/13 - 34698634*k**2/13 - 209387520*k/13 + 244992600/13 = 0.
-27, -9, 1, 710
Let -3*x**3/5 + 2703*x**2/5 + 29040*x - 1054500 = 0. What is x?
-74, 25, 950
Factor 3*o**2 - 9945*o + 7306152.
3*(o - 2216)*(o - 1099)
Determine z, given that -z**3/3 - 16735151*z**2/3 + 33470311*z - 50205471 = 0.
-16735157, 3
Suppose 2*h**2/9 + 92828*h/3 + 2041248 = 0. Calculate h.
-139176, -66
Solve 338*a**4/9 - 99424*a**3/9 + 8189456*a**2/9 - 13660416*a - 31049568 = 0 for a.
-2, 22, 1782/13
Solve 6*t**5 + 13202*t**4 - 22102*t**3 - 180650*t**2 - 189392*t - 44040 = 0 for t.
-2202, -2, -1, -1/3, 5
Let -i**5/3 + 108*i**4 - 710*i**3/3 - 27156*i**2 + 27285*i = 0. Calculate i.
-15, 0, 1, 17, 321
Factor l**3/8 + 29461*l**2/8 + 3607929*l/4.
l*(l + 247)*(l + 29214)/8
Factor -2*q**2/13 - 8662*q/13 - 9256268/13.
-2*(q + 1918)*(q + 2413)/13
Solve x**5/3 + 3617*x**4/3 - 3633*x**3 - 141097*x**2/3 + 300418*x/3 - 50680 = 0 for x.
-3620, -6, 1, 7
Suppose n**5/4 + 135*n**4/4 - 7523*n**3/4 - 15711*n**2/4 + 3761*n/2 + 3894 = 0. Calculate n.
-177, -2, -1, 1, 44
Find k, given that 2*k**3 + 537734*k**2 + 5377190*k + 13442850 = 0.
-268857, -5
Factor -29*s**3 + 364*s**2 - 1401*s + 1710.
-(s - 3)**2*(29*s - 190)
Factor -2*a**3/11 - 284488*a**2 + 3129370*a/11.
-2*a*(a - 1)*(a + 1564685)/11
Determine z so that -2*z**5 - 10294*z**4 - 930472*z**3 - 1778624*z**2 + 3721920*z + 7279200 = 0.
-5055, -90, -2, 2
What is l in -2*l**4/5 - 15394*l**3/5 + 215778*l**2/5 - 200446*l + 308440 = 0?
-7711, 4, 5
Factor -a**3/5 + 4500137*a**2/5 - 1012562100952*a + 5062806004624/5.
-(a - 2250068)**2*(a - 1)/5
Factor -780*x**2 + 30982*x/5 + 1744/5.
-2*(x - 8)*(1950*x + 109)/5
Factor -4*c**3 - 2618544*c**2 - 5237076*c - 2618536.
-4*(c + 1)**2*(c + 654634)
Factor 3*c**3 - 5781*c**2 + 270429*c + 276213.
3*(c - 1879)*(c - 49)*(c + 1)
What is z in -5*z**5 - 146065*z**4 - 19513290*z**3 - 883322440*z**2 - 14075087840*z - 24770655360 = 0?
-29079, -44, -2
Let 3*a**3/4 - 135771*a**2/4 + 543045*a/4 - 407277/4 = 0. What is a?
1, 3, 45253
Factor -4*q**2/7 + 23176*q/7 + 6560660.
-4*(q - 7355)*(q + 1561)/7
Factor -i**2/7 + 5085203*i/7 - 5085202/7.
-(i - 5085202)*(i - 1)/7
Find a such that a**2/2 - 4818892*a + 11610860053832 = 0.
4818892
Find b, given that -b**5/5 - 21608*b**4/5 - 38907833*b**3/5 - 18284763274*b**2/5 + 36686336484*b/5 - 18362643768/5 = 0.
-19678, -966, 1
Find y, given that 2*y**2 - 11525384*y + 16604309543432 = 0.
2881346
Determine a, given that -4*a**4/9 + 634*a**3 + 365938*a**2/9 + 18268*a - 121024 = 0.
-61, -2, 3/2, 1488
What is n in -3*n**2/4 - 55871517*n/2 - 1040542137293763/4 = 0?
-18623839
Find t, given that 4*t**2 - 6452*t - 157152 = 0.
-24, 1637
Suppose g**4 - 698*g**3 + 1392*g**2 = 0. Calculate g.
0, 2, 696
Factor j**2/2 - 1903607*j/2 + 4759005.
(j - 1903602)*(j - 5)/2
Factor x**3/3 - 48865*x**2 + 1758816*x - 15828372.
(x - 146559)*(x - 18)**2/3
Factor 5*u**2 + 29186450*u + 42592443180125.
5*(u + 2918645)**2
Solve 2*k**5/19 + 9032*k**4/19 + 1225556*k**3/19 + 1207496*k**2/19 - 1225558*k/19 - 1216528/19 = 0 for k.
-4376, -139, -1, 1
Factor -t**3/5 - 48714*t**2/5 + 370443*t - 17599472/5.
-(t - 19)**2*(t + 48752)/5
Factor 2*t**2 + 38580564*t + 186057489819762.
2*(t + 9645141)**2
Find g, given that 3*g**3/5 - 2868*g**2 - 433092*g/5 + 184704 = 0.
-32, 2, | {
"pile_set_name": "DM Mathematics"
} |
to -1 in 4, 0.0908, -0.1?
-0.1
What is the closest to 1 in -31, -5, 0.3?
0.3
What is the closest to 0 in -82, 0, 5?
0
Which is the nearest to 30? (a) 0.2 (b) -9 (c) -2 (d) 4
d
What is the nearest to 54 in 5, 1/5, 3/2?
5
Which is the closest to 0? (a) -0.3 (b) 0.5 (c) 3 (d) 5
a
Which is the nearest to 1? (a) -1/3 (b) 0.02 (c) 0.3 (d) -6
c
Which is the nearest to 1.8? (a) -2/319 (b) -4 (c) -1
a
What is the closest to 0.1 in 2/9, -4, -0.05, 0.2?
0.2
What is the nearest to -0.1 in 3, -1, -0.5, -0.12?
-0.12
Which is the closest to -2/5? (a) 2/17 (b) 5 (c) -4 (d) 1
a
Which is the closest to -0.2? (a) 2/17 (b) -0.02 (c) 0.2
b
Which is the nearest to -2? (a) 2/9 (b) -80 (c) -0.4 (d) -0.1
c
What is the nearest to -0.1 in 2/5, 2/17, 7?
2/17
Which is the nearest to -2/3? (a) 55.4 (b) 3/2 (c) 1/4
c
Which is the nearest to 9? (a) -1 (b) -3 (c) 1 (d) 0.05
c
Which is the nearest to -3? (a) 2 (b) -0.5 (c) 3
b
Which is the closest to 0.1? (a) -4/7 (b) 3 (c) -1/3 (d) -6
c
Which is the closest to 5? (a) -10.2 (b) 0 (c) 2
c
Which is the nearest to 8? (a) -28 (b) -3/4 (c) 20/9
c
Which is the closest to -2/5? (a) 6/5 (b) -15 (c) 4/5
c
What is the nearest to 0 in -10, 1/13, 0.4, 0.5?
1/13
Which is the nearest to 1? (a) 1/125 (b) 4 (c) 4/3
c
What is the closest to 0.4 in -9/8, 4, -2/37?
-2/37
What is the closest to -0.2 in -1252, -3, 3?
-3
What is the nearest to 1/2 in 5, -0.58, 0.04?
0.04
Which is the closest to 0.3? (a) 0.1 (b) -0.1 (c) -1 (d) -9
a
What is the nearest to 1 in -0.045, 5, 4?
-0.045
What is the nearest to -2 in -20, 2, -1, -19?
-1
Which is the nearest to -1/7? (a) -3 (b) 16 (c) -2/11 (d) 3/4
c
What is the nearest to 2/5 in 11, 0.014, -0.3?
0.014
Which is the nearest to -0.1? (a) -5 (b) 5 (c) 4/9 (d) 0.06
d
What is the closest to 19 in -4, 5, 0?
5
Which is the closest to 1? (a) 10/9 (b) -2/11 (c) 3/4 (d) -2
a
What is the nearest to -4.3 in -4/9, 2, -5, -0.4?
-5
Which is the closest to 0.1? (a) -4 (b) -0.5 (c) 0.5 (d) -70
c
What is the nearest to 7 in 0, 1/7, -0.02?
1/7
What is the nearest to 0.1 in 4, -4, -47, -5/3?
-5/3
What is the closest to 0.3 in -0.1, 0.3, -14?
0.3
Which is the nearest to 0.05? (a) -3 (b) 0.4 (c) -2/11
c
Which is the nearest to 2? (a) 1/3 (b) 5 (c) -1/5 (d) 2
d
Which is the nearest to -1? (a) 1/3 (b) 1 (c) -15 (d) 0.14
d
What is the closest to 0.1 in -5, 0, 2/7, 1.6?
0
Which is the nearest to 1? (a) -1/3 (b) -5 (c) 1 (d) -192
c
What is the closest to 0.1 in 2, -2/11, -0.5, 1/10?
1/10
Which is the nearest to -5? (a) -1/2 (b) 0.06 (c) 2
a
Which is the nearest to 0.2? (a) 0 (b) -11/5 (c) -0.1
a
What is the closest to -1 in -2/3, -5, 148, -1?
-1
Which is the closest to -0.1? (a) -6 (b) -31 (c) -5
c
What is the closest to 1 in 4, -6, -2/7?
-2/7
Which is the closest to -2/5? (a) 0 (b) 49/3 (c) -0.5
c
What is the nearest to 1/2 in 2/7, 2, -25?
2/7
What is the closest to 53 in -3, 5, 1/6?
5
Which is the closest to 42? (a) 2/13 (b) 1/8 (c) -4 (d) -5
a
What is the closest to 1 in 5, 1, -2/19, -0.5?
1
Which is the nearest to -5/8? (a) 4/9 (b) 0.3 (c) -4 (d) 0
d
What is the closest to -1 in 0.3, -2/3, 1?
-2/3
What is the nearest to -8 in 1.8, -5, 0, -3?
-5
Which is the nearest to -1? (a) 0.2 (b) 3 (c) 13 (d) -1/6
d
What is the nearest to -0.2 in -2/3, -2/7, -2/5, 1?
-2/7
What is the closest to -1 in -2/17, 2, 0.5, -2/19?
-2/17
Which is the nearest to -5? (a) 0.4 (b) -12 (c) -17
a
What is the nearest to 0.1 in 5, -1201, 2?
2
What is the nearest to 1 in 4, 120, -2/13?
-2/13
Which is the closest to 0.1? (a) 1/5 (b) -5 (c) -5803
a
Which is the nearest to 1/3? (a) 2.1 (b) -1 (c) -4 (d) -5
b
Which is the nearest to -0.1? (a) 0.05 (b) 2/13 (c) -0.2
c
What is the closest to 7/3 in -2, -1/3, 1, 0.1?
1
What is the closest to -20 in -0.1, 4, 1/5, 3?
-0.1
Which is the closest to -0.1? (a) -69/2 (b) -2/5 (c) 0.5
b
What is the closest to -2 in 5, -1, 0.4, -0.5?
-1
What is the nearest to -1 in -74, -5, 4/3, 0.3?
0.3
What is the nearest to 81/4 in 3, -3, -0.2?
3
What is the nearest to -1/12 in -24, 0.4, -0.3?
-0.3
Which is the nearest to -0.1? (a) 5/44 (b) -1/12 (c) -3
b
What is the nearest to 100 in -4, -1, -5, 6/11?
6/11
What is the nearest to 0 in -2/3, -928, 1/4?
1/4
Which is the nearest to 1? (a) -0.3 (b) -1.6 (c) -1/2 (d) 1/14
d
Which is the nearest to 4? (a) 3/4 (b) 2.3 (c) -1 (d) -0.4
b
Which is the closest to 4? (a) 69 (b) -2/5 (c) 4/7
c
Which is the nearest to 1? (a) 3/8 (b) -1 (c) 9 (d) -8
a
Which is the closest to 3? (a) 0.6 (b) 30 (c) 1/4
a
Which is the nearest to -417? (a) 1/10 (b) -4 (c) 0.3
b
Which is the nearest to 5/2? (a) -2 (b) -7 (c) -3
a
What is the closest to -2 in 4, -970/3, 3/8?
3/8
What is the closest to -0.2 in 5, 41, 4?
4
What is the nearest to 1/4 in -0.04, -2/5, -25, -1/4?
-0.04
Which is the nearest to 2/7? (a) -0.1 (b) 0.3 (c) 0.12 (d) 1/2
b
Which is the closest to 0.2? (a) 4 (b) 0.2 (c) -5
b
Which is the nearest to -0.1? (a) 0.3 (b) 3 (c) -1 (d) 768
a
Which is the closest to -1? (a) 0.08 (b) 0.05 (c) 0.09 (d) -0.4
d
What is the closest to -0.1 in -3/8, -0.1, 22, -3?
-0.1
Which is the closest to -2? (a) 2/17 (b) 0.39 (c) 2/7
a
What is the closest to -2 in -6, -38, 5?
-6
What is the nearest to 0.06 in 3/5, 0, -1?
0
Which is the closest to 1? (a) 0 (b) -2/15 (c) 0.1 (d) -0.001
c
What is the nearest to -2 in -3, -0.13, -5, 0?
-3
Which is the closest to 96? (a) 1 (b) 0.1 (c) 4/5 (d) -2
a
What is the closest to 0.1 in 3, -0.1, 0?
0
What is the closest to 0.1 in -3/8, -4, 3?
-3/8
Which is the nearest to -1? (a) 4 (b) 0.34 (c) -2/15
c
Which is the closest to 1? (a) 0.05 (b) 33 (c) -7
a
Which is the closest to 0? (a) 2 (b) 0.3 (c) 19 (d) -4
b
Which is the closest to -2? (a) 0.2 (b) 0.5 (c) 2 (d) 4
a
Which is the nearest to 285? (a) -0.5 (b) 5 (c) -2
b
What is the closest to -1 in 4, -4/3, 8, 19?
-4/3
Which is the nearest to -1? (a) 0.1 (b) -0.35 (c) 0
b
What is the nearest to 3/2 in 3, -0.2, 1?
1
What is the closest to -2/11 in -1/8, 27, 0.5?
-1/8
What is the nearest to -1/2 in -1/4, -9/4, -0.8?
-1/4
What is the nearest to -2/5 in 7, 3, 5, -0.2?
-0.2
What is the nearest to 1/5 in -2/11, 2/5, 0.5, -0.4?
2/5
What is the nearest to -2/3 in -4/7, 0.07, 0.174?
-4/7
What is the nearest to 1/4 in -2.5, -2, -3/4?
-3/4
Which is the closest to -12? (a) -4 (b) 5 (c) 2 (d) -2
a
Which is the closest to -1/3? (a) -2 (b) 1 (c) 7.3
b
What is the closest to 0.4 in 1, -0.7, -2.4?
1
What is the closest to 1 in -1/2, 4/7, 274?
4/7
What is the closest to -0.6 in 4, -5, 1/2?
1/2
Which is the closest to -2/3? (a) 1 (b) -1/3 (c) -2/7
b
Which is the closest to 1? (a) 2.1 (b) -3 (c) 0.4 (d) -2/191
c
What is the closest to 0.1 in -0.4, 0.17, 4.1?
0.17
What is the nearest to 6/19 in 35, 1, 4?
1
Which is the closest to -4/13? (a) 0 (b) 5 (c) 74
a
What is the closest to 1 in -5, 0, 40.7?
0
What is the closest to -15 in 7, -0.1, 0.06?
-0.1
What is the nearest to 0.1 in -18, 3, 1, 22?
1
Which is the closest to -1? (a) -0.1 (b) 0.21 (c) 0.02
a
Which is the closest to 2/3? (a) 26/11 (b) 3 (c) -3/7
c
What is the closest to 1/8 in 0, -0.01, 3, 35?
0
What is the nearest to 1 in 2/13, -0.176, -1/3?
2/13
Which is the closest to 452? (a) 1/4 (b) 3 (c) 0.5 (d) -1/2
b
What is the nearest to -1/4 in -4, 0.1, 5, 4?
0.1
What is the closest to 0 in -3, -1, -2/7, -4?
-2/7
What is the nearest to 0.1 in -4, 0.3, -5, 257?
0.3
What is the nearest to 1/2 in 0, 4/9, 4?
4/9
Which is the closest to 1? (a) -197 (b) -1/5 (c) 1/6
c
Which is the closest to -2/9? (a) 2/11 (b) 5 (c) 0 (d) -0.5
c
Which is the nearest to 0.3? (a) 2.44 (b) -3/5 (c) 2
b
What is the closest to -1/2 in 4/7, -0.3, 5, 2/7?
-0.3
What is the nearest to 309/4 in -2/5, 0.2, 1/4?
1/4
What is the nearest to -1 in 0.2, 3/25, -0.1, 44?
-0.1
What is the closest to 1 in 0.4, -1, -1/3, 8?
0.4
Which is the nearest to 2? (a) -1/4 (b) 0 (c) -0.5 (d) -24
b
Which is the closest to -0.1? (a) 0 (b) 5.1 (c) 4 (d) -0.5
a
Which is the nearest to -2/11? (a) -0.1 (b) 5 (c) 2/11
a
What is the closest to 2/3 in 1/6, 0.2, 1, -2.6?
1
Which is the nearest to -0.6? (a) -1/12 (b) 0.3 (c) 31
a
What | {
"pile_set_name": "DM Mathematics"
} |
s of 718?
2, 359
List the prime factors of 15118.
2, 7559
What are the prime factors of 5249?
29, 181
What are the prime factors of 884?
2, 13, 17
List the prime factors of 6030.
2, 3, 5, 67
List the prime factors of 2571.
3, 857
List the prime factors of 38103.
3, 13, 977
What are the prime factors of 6623?
37, 179
List the prime factors of 1705.
5, 11, 31
List the prime factors of 72513.
3, 7, 1151
List the prime factors of 4503.
3, 19, 79
What are the prime factors of 13597?
13597
List the prime factors of 63510.
2, 3, 5, 29, 73
List the prime factors of 30271.
30271
List the prime factors of 14765.
5, 2953
What are the prime factors of 45?
3, 5
What are the prime factors of 71812?
2, 13, 1381
What are the prime factors of 904?
2, 113
What are the prime factors of 2818?
2, 1409
What are the prime factors of 9341?
9341
What are the prime factors of 603?
3, 67
List the prime factors of 31666.
2, 71, 223
List the prime factors of 67861.
79, 859
What are the prime factors of 19661?
19661
List the prime factors of 3689.
7, 17, 31
List the prime factors of 11.
11
List the prime factors of 146.
2, 73
What are the prime factors of 19774?
2, 9887
List the prime factors of 89541.
3, 9949
List the prime factors of 20474.
2, 29, 353
List the prime factors of 2666.
2, 31, 43
What are the prime factors of 8471?
43, 197
What are the prime factors of 21304?
2, 2663
What are the prime factors of 78661?
11, 7151
What are the prime factors of 1292?
2, 17, 19
List the prime factors of 25347.
3, 7, 17, 71
What are the prime factors of 4413?
3, 1471
List the prime factors of 2057.
11, 17
List the prime factors of 23148.
2, 3, 643
List the prime factors of 16748.
2, 53, 79
List the prime factors of 3345.
3, 5, 223
List the prime factors of 3945.
3, 5, 263
List the prime factors of 2799.
3, 311
List the prime factors of 15419.
17, 907
List the prime factors of 971.
971
List the prime factors of 35102.
2, 17551
What are the prime factors of 1206?
2, 3, 67
List the prime factors of 261.
3, 29
List the prime factors of 8074.
2, 11, 367
What are the prime factors of 849?
3, 283
What are the prime factors of 23574?
2, 3, 3929
What are the prime factors of 641?
641
List the prime factors of 2786.
2, 7, 199
List the prime factors of 7557.
3, 11, 229
What are the prime factors of 413?
7, 59
What are the prime factors of 125750?
2, 5, 503
List the prime factors of 119.
7, 17
What are the prime factors of 590?
2, 5, 59
What are the prime factors of 6113?
6113
List the prime factors of 100.
2, 5
What are the prime factors of 720?
2, 3, 5
List the prime factors of 3900.
2, 3, 5, 13
What are the prime factors of 28863?
3, 1069
What are the prime factors of 61100?
2, 5, 13, 47
What are the prime factors of 354?
2, 3, 59
List the prime factors of 37973.
13, 23, 127
What are the prime factors of 139824?
2, 3, 971
What are the prime factors of 1767?
3, 19, 31
List the prime factors of 2140.
2, 5, 107
List the prime factors of 7469.
7, 11, 97
What are the prime factors of 4840?
2, 5, 11
List the prime factors of 14796.
2, 3, 137
What are the prime factors of 12695?
5, 2539
List the prime factors of 1591.
37, 43
What are the prime factors of 14835?
3, 5, 23, 43
List the prime factors of 7131.
3, 2377
List the prime factors of 1521.
3, 13
List the prime factors of 11991.
3, 7, 571
List the prime factors of 97.
97
What are the prime factors of 15521?
11, 17, 83
List the prime factors of 1353.
3, 11, 41
What are the prime factors of 3989?
3989
What are the prime factors of 45346?
2, 7, 41, 79
List the prime factors of 868.
2, 7, 31
List the prime factors of 55143.
3, 11, 557
List the prime factors of 3609.
3, 401
What are the prime factors of 3690?
2, 3, 5, 41
List the prime factors of 6.
2, 3
List the prime factors of 981.
3, 109
What are the prime factors of 30190?
2, 5, 3019
What are the prime factors of 8937?
3, 331
What are the prime factors of 5995?
5, 11, 109
What are the prime factors of 2360?
2, 5, 59
What are the prime factors of 139681?
139681
List the prime factors of 997.
997
List the prime factors of 2143.
2143
What are the prime factors of 9388?
2, 2347
What are the prime factors of 769?
769
List the prime factors of 10019.
43, 233
What are the prime factors of 18954?
2, 3, 13
What are the prime factors of 5645?
5, 1129
What are the prime factors of 28812?
2, 3, 7
List the prime factors of 31400.
2, 5, 157
What are the prime factors of 2351?
2351
List the prime factors of 330.
2, 3, 5, 11
List the prime factors of 18927.
3, 701
List the prime factors of 3422.
2, 29, 59
List the prime factors of 921.
3, 307
List the prime factors of 170.
2, 5, 17
What are the prime factors of 2056?
2, 257
What are the prime factors of 2308?
2, 577
List the prime factors of 2550.
2, 3, 5, 17
List the prime factors of 13024.
2, 11, 37
List the prime factors of 594.
2, 3, 11
List the prime factors of 489.
3, 163
What are the prime factors of 44921?
29, 1549
What are the prime factors of 113?
113
List the prime factors of 2651.
11, 241
List the prime factors of 1800.
2, 3, 5
List the prime factors of 316.
2, 79
List the prime factors of 135.
3, 5
List the prime factors of 3916.
2, 11, 89
What are the prime factors of 33499?
139, 241
What are the prime factors of 1064?
2, 7, 19
What are the prime factors of 1227?
3, 409
List the prime factors of 7362.
2, 3, 409
List the prime factors of 53680.
2, 5, 11, 61
List the prime factors of 2804.
2, 701
What are the prime factors of 28262?
2, 13, 1087
What are the prime factors of 4254?
2, 3, 709
What are the prime factors of 10148?
2, 43, 59
List the prime factors of 788.
2, 197
What are the prime factors of 19747?
7, 13, 31
What are the prime factors of 12039?
3, 4013
What are the prime factors of 1220?
2, 5, 61
List the prime factors of 3721.
61
List the prime factors of 4366.
2, 37, 59
List the prime factors of 26168.
2, 3271
What are the prime factors of 116019?
3, 4297
What are the prime factors of 503?
503
List the prime factors of 8194.
2, 17, 241
List the prime factors of 654.
2, 3, 109
List the prime factors of 7485.
3, 5, 499
List the prime factors of 3015.
3, 5, 67
List the prime factors of 18016.
2, 563
What are the prime factors of 119004?
2, 3, 47, 211
List the prime factors of 2924.
2, 17, 43
List the prime factors of 5905.
5, 1181
List the prime factors of 25397.
109, 233
List the prime factors of 30870.
2, 3, 5, 7
List the prime factors of 18888.
2, 3, 787
List the prime factors of 1051.
1051
What are the prime factors of 1596?
2, 3, 7, 19
What are the prime factors of 4660?
2, 5, 233
List the prime factors of 2285.
5, 457
What are the prime factors of 645?
3, 5, 43
What are the prime factors of 1773?
3, 197
List the prime factors of 20092.
2, 5023
What are the prime factors of 13177?
13177
List the prime factors of 4515.
3, 5, 7, 43
What are the prime factors of 1734?
2, 3, 17
List the prime factors of 1504.
2, 47
What are the prime factors of 5682?
2, 3, 947
What are the prime factors of 110679?
3, 79, 467
List the prime factors of 1315.
5, 263
What are the prime factors of 4693?
13, 19
List the prime factors of 885.
3, 5, 59
List the prime factors of 49690.
2, 5, 4969
List the prime factors of 13733.
31, 443
List the prime factors of 3793.
3793
What are the prime factors of 76054?
2, 11, 3457
List the prime factors of 8731.
8731
List the prime factors of 24069.
3, 71, 113
What are the prime factors of 76464?
2, 3, 59
List the prime factors of 39771.
3, 491
List the prime factors of 1318.
2, 659
What are the prime factors of 1766?
2, 883
List the prime factors of 23.
23
List the prime factors of 19084.
2, 13, 367
What are the prime factors of 1634?
2, 19, 43
List the prime factors of 2097.
3, 233
List the prime factors of 1170.
2, 3, 5, 13
What are the prime factors of 48681?
3, 601
List the prime factors of 14053.
13, 23, 47
What are the prime factors of 26406?
2, 3, 163
List the prime factors of 1975.
5, 79
What are the prime factors of 3504?
2, 3, 73
What are the prime factors of 412?
2, 103
List the prime factors of 2228.
2, 557
List the prime factors of 147475.
5, 17, 347
What are the prime factors of 718?
2, 359
List the prime factors of 1412.
2, 353
What are the prime factors of 5560?
2, 5, 139
What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
7*a**3 in the form p*a**2 + h + z*a**3 + q*a and give z.
1
Rearrange (-2 + 5 - 2)*(2 - v - 2) + (-10*v + 39 - 39)*(2 + 3 - 4) to a*v + r and give a.
-11
Express -63*h - 38*h**2 + 63*h + (-3 + 0 + 2)*(h**2 - 3*h**2 + 3*h**2) + 0*h - 2*h**2 + 0*h as o*h + w*h**2 + f and give w.
-41
Rearrange 0*v**3 - 2*v**3 + 4*v**3 + (-3*v - v**2 + 3*v)*(0*v - v + 2*v) + 3*v**2 + 2*v**3 - 4*v**3 - v**3 to the form x*v**3 + j*v**2 + k + q*v and give j.
3
Rearrange 2 - 2 + 2*g**4 + (-2*g**2 - g**2 + 4*g**2)*(40*g**2 - 87*g**2 - 34*g**2) to m + x*g**3 + y*g**2 + o*g + b*g**4 and give b.
-79
Express -3*m**3 + 2*m**3 + 5*m**2 - 3*m**2 as k*m**3 + v + q*m**2 + a*m and give q.
2
Rearrange 9*a**2 + 1 - 2 - 8*a**2 + a**4 - a - a to z*a**3 + s*a**2 + h*a + x + w*a**4 and give w.
1
Rearrange -2*g**3 - g + 0*g**3 - 2*g**2 + 2 + g to the form f + w*g + y*g**2 + u*g**3 and give f.
2
Express -2*j - 2 + 3*j - 2*j + 0*j as q*j + r and give r.
-2
Rearrange d**4 + 2 + 0*d**4 + d + 12*d**2 - 10*d**2 to b*d**4 + k*d + f + m*d**2 + z*d**3 and give b.
1
Express (-14 + 13 - 29)*(w - 2*w - w) as s*w + u and give s.
60
Express 37*t**2 - t**2 - 318 + 318 in the form u*t + c + l*t**2 and give l.
36
Rearrange ((-n + 2 - 2)*(-3 - 3 + 5) - 7*n + 1 - 1)*(-n**3 - 2*n**3 + 2*n**3) to the form t*n + c*n**3 + q*n**2 + z*n**4 + v and give z.
6
Express 13*i**2 + 7*i**2 - 65*i - 21*i**2 + 2*i**2 in the form y*i + m + l*i**2 and give y.
-65
Rearrange (2 - 3 - 3)*(-6 + 1 - 2)*(-2*v - 3*v + 3*v) to d*v + b and give d.
-56
Rearrange -24*p**2 - 5 + 5 + p**3 to the form q*p**2 + k*p**3 + u*p + l and give k.
1
Rearrange 3*h**4 + 2*h + 3*h - h**4 - 3*h + 7*h**3 to the form m*h**2 + q*h + z*h**4 + o + c*h**3 and give q.
2
Rearrange (-5*k**2 + 5*k**2 - k**2)*(0 - 3 + 0) to the form w + q*k + z*k**2 and give z.
3
Express (4*m + 1 - m + 0*m)*(-3*m - 2*m + 3*m) in the form s + o*m**2 + d*m and give d.
-2
Rearrange -13*t + 35 - 35 - 11*t to x + c*t and give c.
-24
Rearrange -8*o + 5 - 6*o - 12 to u*o + v and give u.
-14
Express -20*a**2 + 54*a**2 - 22*a**2 - 8 - 14*a**2 as i + f*a**2 + n*a and give n.
0
Express (0*n**2 + 8*n + 3*n**2 + 4*n**2)*(n - n + n) in the form k*n + g + v*n**2 + h*n**3 and give g.
0
Rearrange 9*k - 2*k + 2*k + 3*k to q*k + m and give q.
12
Express -17*p - 29*p - 59*p in the form v + d*p and give d.
-105
Express 7 + 8 + 3*l - 4*l - 17 - 11*l**3 in the form b + r*l**2 + z*l**3 + a*l and give z.
-11
Express (17 + 4 + 19)*(-y - 4*y + 3*y)*(-1 - 4 + 2)*(0 - 1 - 1) in the form k + x*y and give x.
-480
Express (157 - 53 + 31)*(t - 1 + 1) as u*t + y and give u.
135
Rearrange (0 - 12 + 3)*(-3*z - 4*z + 5*z) + 3*z + 2*z - 2 - 4*z to the form q*z + x and give x.
-2
Rearrange (-4 + 0 + 2)*(3*g - 3*g + 2*g**2) + (-g + 2*g + 0*g)*(0*g + 3*g - 5*g) to the form w*g + f + p*g**2 and give p.
-6
Express -7*q**2 + 3*q**2 - 3*q**2 - 6*q**2 in the form t*q + g*q**2 + x and give g.
-13
Rearrange (3 - 2 + 2)*(-x + 10 - 10 - 3) to c + v*x and give v.
-3
Express 68*a**2 - 12*a - 35*a**2 - 32*a**2 in the form h*a**2 + g + l*a and give h.
1
Express (-2 + 5 - 5)*(-2*p + 7*p - 2*p)*(-2 - 2 + 2) as b*p + s and give b.
12
Rearrange -2*d - 2*d - d**3 + 2*d**2 - 2*d + 4*d to the form r*d**2 + k + v*d**3 + l*d and give l.
-2
Rearrange 0*f**4 - f**4 + 2*f**3 + 0 - 3 to z*f**2 + w*f**4 + t*f**3 + o*f + v and give v.
-3
Express (-24*t + 2*t + 0*t + (t + t + 0*t)*(-3 + 4 + 1))*(8 - 8 - 2*t) in the form f + k*t**2 + s*t and give k.
36
Rearrange 2*s**4 + 54*s - 3 - 3*s**4 - 57*s to y*s + l + a*s**4 + z*s**3 + d*s**2 and give l.
-3
Rearrange 8*v - 15*v**2 + 9*v**2 + 7*v**2 to p*v + m*v**2 + g and give p.
8
Express -2*w**3 + 2*w**3 + w**4 + (18 + 5*w - 18)*(w - 2*w**3 - w) as q*w + r + f*w**2 + d*w**3 + s*w**4 and give s.
-9
Express 2*m - 5*m**4 - 2*m**4 - 1 + 8*m**4 - 7 - m**2 in the form d*m**3 + u*m**2 + j*m + b*m**4 + g and give b.
1
Express -8*q + 6*q - 7*q in the form o*q + l and give l.
0
Express -3 - 5*d - 23*d + 3 as h*d + y and give h.
-28
Express 99 + 6*w**2 - w**3 - 98 - w**2 as a*w + u + x*w**2 + z*w**3 and give z.
-1
Express -4 + n + 7 - 2 in the form b + o*n and give o.
1
Rearrange -9 - 15 + 24 - 83*o to the form k + n*o and give n.
-83
Rearrange 3*y - 2*y**3 - 6*y**2 + 4*y**2 + y - 3*y to j*y**3 + x*y + v*y**2 + h and give j.
-2
Rearrange 405 - 66*k - 405 to the form a*k + x and give a.
-66
Express -80*x**2 + 14*x - 14*x in the form n*x**2 + a*x + s and give n.
-80
Express (2 + 20*w + 11*w - 21*w)*(5 - 3 - 1) in the form i + y*w and give y.
10
Express (0 + 2 + 1)*(-344 + 344 - 11*j) + (-3*j + j + j)*(-1 + 3 - 1) as c*j + f and give c.
-34
Express (-2*f + f + 2*f)*(-f**2 - 5*f**2 + 3*f**2) + 1 - 1 + 6*f**3 in the form y*f**3 + v + z*f + t*f**2 and give y.
3
Rearrange (r + 3*r - 7*r)*(-1 + 3 - 3) - 1034 - 48*r + 1034 to y*r + w and give y.
-45
Express a**2 + a**3 + 3*a**2 + 0*a**2 - 2 - 3*a**2 + a**4 in the form q*a**2 + j*a**3 + w*a**4 + l*a + x and give w.
1
Rearrange (10*h + 39 - 39)*(-3 - 2*h**3 + 3)*(-1 - 2 + 2)*(-5 - 1 + 1) to i*h**3 + d + k*h + o*h**2 + w*h**4 and give k.
0
Express (6 + 9 - 21)*(-4 + 1 + 2)*(-2 + 2 + 3*v) as t*v + g and give t.
18
Rearrange 43*c + 1 + 2*c**3 - 24*c - 19*c - c**2 to y*c + t + v*c**3 + s*c**2 and give s.
-1
Express 2*k**4 - 5*k**4 + 2*k**4 + 10*k**2 - 6*k**4 - 10*k**2 + (2*k - 3 + 3)*(-4*k + 2*k**3 + 4*k) as b*k**3 + r*k**4 + u + o*k**2 + t*k and give r.
-3
Rearrange (7 - 18 + 9)*(2*c + c - 2*c) to x*c + f and give x.
-2
Express n**3 + 0*n + 0*n + (-n + 1 - 1)*(n**2 - 7*n**2 - n**2) as d*n + u*n**3 + z*n**2 + c and give u.
8
Express 37 - 37 - z + (5*z + 5*z - 3*z)*(2 + 1 - 5) in the form u + y*z and give u.
0
Rearrange 2*d + 24 - 302*d**2 + 304*d**2 - 2*d to h + q*d**2 + v*d and give q.
2
Express (170*m + 20*m**2 - 171*m + 7*m**2)*(4 - 2 + 0) in the form k*m + c*m**2 + j and give c.
54
Rearrange 3 + 2*a**2 - 3 - 5*a - a to the form m*a**2 + y*a + w and give y.
-6
Express (o - 2 + 2)*(2*o + 1 - 1) + 65 - 65 - 161*o**2 as f + z*o + w*o**2 and give w.
-159
Rearrange 448*b**2 - 2*b**3 - 448*b**2 - 3 - 1 - 3*b to the form f*b + v*b**2 + k*b**3 + i and give k.
-2
Express 94*l**3 + 88*l**3 - 173*l**3 + (2*l + l**2 - 2*l)*(1 - 2*l - 1) + 0*l**3 - l**3 - 2*l**3 in the form z*l**2 + w*l + c + m*l**3 and give m.
4
Rearrange -o**2 + 0*o**2 + 2*o**2 + (0 + 3*o + 0)*(0*o + 0*o + 2*o) + (-2 + 0 + 0)*(-4*o**2 + 4*o**2 - 3*o**2) to the form i*o**2 + z*o + f and give i.
13
Express -6 - 3*o + 0 + 9 - 4 - 4*o**2 in the form a + z*o**2 + u*o and give u.
-3
Express (-3 + 3 + 3)*(-11*k**2 - k**3 + 11*k**2)*(k + 0*k - 3*k)*(-2 + 0 - 2) in the form r*k**4 + b*k + u*k**2 + n + a*k**3 and give u.
0
Rearrange (-2*u**2 + 0*u**2 + u**2)*(-u**2 + u**2 - 2*u**2) + (-1 - 2 + 6)*(22*u**4 - 269 + 269) to s*u**2 + d*u**3 + o*u + b*u**4 + k and give b.
68
Express 18*o + 309 - 309 in the form d + g*o and give g.
18
Express -3*m**3 - 3*m**3 + 5*m**3 + ((3 - 5 + 4)*(-3*m + 0*m + 0*m) - 6 - 2*m + 6)*(m**2 - 4*m**2 + 2*m**2) in the form z*m + h + a*m**2 + j*m**3 and give z.
0
Rearrange 29*n - 53*n + 0 + 0 to the form t + g*n and give g.
-24
Express (-1 + 0 + 0)*(0*x**2 + x**2 + 2*x**2)*(-x - x - x)*(-2*x + 2 - 2) as n*x**2 + v*x**4 + y*x**3 + w + d*x and give v.
-18
Express (-3*b + 31*b - 11*b)*(b - 5*b + 5*b) in the form m + s*b + l*b**2 and give l.
17
Rearrange 6*t + 11*t + 15*t - 1 + 5*t to the form z + o*t and give z.
-1
Express (-2 + 1 + 0)*(-4 - 4 + 3)*(0 - 2 + 3)*(-2 + 2 + c**2) in the form j + l*c**2 + t*c and give l.
5
Express 3*d + 4*d - 5*d + (1 - 1 - 1)*(-6*d + 16*d - 31*d) as q + v*d and give v.
23
Rearrange -1 - 220*a**2 + 107*a**2 + 119*a**2 - a to the form k + v*a**2 + x*a and give k.
-1
Rearrange -5*c - 2*c**2 + 2 + c + 7*c - c to the form x*c + p + n*c**2 and give n.
-2
Rearrange (0*b + 0*b + b)*(5*b**3 - 6 + 6) - 5*b**4 + b**4 + 0*b**4 to u*b**2 + v*b + j*b**3 + c + t*b**4 and give t.
1
Express (-9*v - v - 3*v)*(-1 + 3 - 3) as a + g*v and give g.
13
Rearrange ((-y - y + 4*y)*(y**2 + 5 - 5) + 2*y**3 - 4*y**3 + 3*y**3)*(-3*y + 0*y - 4*y) to v*y + w*y**4 + b*y**3 + z*y**2 + m and give w.
-21
Express (-5*w + 4*w + 0*w)*(6*w - 2*w**3 - 6*w - 3*w - 1) as t*w + d + b*w**3 + h*w**2 + u*w**4 and give u.
2
Rearrange (13*v + 12*v - 36*v)*(-2 - 2*v - 3*v + 6*v) to the form s*v**2 + b + n*v and give n.
22
Exp | {
"pile_set_name": "DM Mathematics"
} |
he form j + h*c**2 + w*c and give w.
-1194
Express 49996*n**2 + 43*n - 50039*n**2 + 21*n + 1 in the form j*n**2 + q*n + z and give j.
-43
Rearrange (1 - 2*u - 1)*(-3 + 3 + 1)*((1 + 2 - 1)*(1 + 0 + 2) - 7 + 5 - 5)*(-54 + 54 + 19*u) to the form f*u**2 + d + z*u and give f.
38
Rearrange (-173 - 38*w + 82 + 95)*(w**2 - 7*w**2 + w**2) + (-1 - 5 + 4)*(2*w**3 - w**3 + 0*w**3) to the form d*w**3 + v*w + u + s*w**2 and give d.
188
Rearrange (-181 + 30 - 51 + (-1 + 3 - 1)*(-2 - 1 + 2))*(3*z - 11*z + 3*z) to t*z + d and give t.
1015
Rearrange -104*l**3 + 1709*l**2 - l + 20 - 105*l**3 - 18 + 207*l**3 to the form o*l**3 + j*l**2 + d + n*l and give j.
1709
Rearrange -1027 + 2037 - 1010 - 3253*l to the form i + v*l and give v.
-3253
Express 244*n**4 - 492*n**4 - 25*n**2 + 3*n + 249*n**4 + 3*n**2 - 6 - 2*n**3 as q*n**2 + w*n**4 + z*n**3 + k*n + c and give w.
1
Rearrange (-3 + 0 + 6)*(-2325*d - 1896*d - 6653*d) to the form l + t*d and give t.
-32622
Express (1949*q - 65 + 65 + 1822*q)*(5*q + q + 0*q) as z*q + a + p*q**2 and give p.
22626
Rearrange (0*t - 4*t - 6*t)*(5 - 11 - 11)*(1 + 1 - 1) to the form g*t + r and give g.
170
Rearrange 78 + 64 - 2*l**3 + 114 + 439582*l**2 - 439586*l**2 - 2*l**4 to o*l**4 + z*l + j*l**3 + y + q*l**2 and give o.
-2
Rearrange (-12366 + 12366 - 4*u**2)*(-89*u**2 + 31*u**2 + 30*u**2) to the form o*u + d*u**4 + y + a*u**3 + x*u**2 and give d.
112
Rearrange 27*p**4 - 14*p**4 + 5*p - 3*p - 10*p + 19 - 5*p**2 + 6*p to y*p + m*p**2 + c*p**4 + b + r*p**3 and give b.
19
Rearrange 1 + 2285*a**2 - 2285*a**2 + 425*a**3 to the form n*a**2 + z + g*a**3 + d*a and give g.
425
Rearrange 8*a + 0*a**2 - 5873 + 5836 - 3*a**2 to the form l + p*a + d*a**2 and give d.
-3
Rearrange 1201*z - 2537*z - 3296*z - 2108*z - 2986*z to f*z + q and give f.
-9726
Rearrange (4*y**2 - 10*y + 10*y)*((-16 - 16 - 12)*(-y - y + 0*y) + (5 - 2 + 0)*(0*y + 6*y - 3*y) - y + 1 - 1) to the form k + f*y**3 + d*y + t*y**2 and give f.
384
Rearrange (7 - 4 + 0)*(589*c + 623*c - 1086*c + 9) to the form i*c + r and give i.
378
Express (-o - 2*o + 353 - 351 - 2*o**2 - 29*o**3)*(-2*o + 5*o - 4*o) in the form m*o**2 + s + v*o**4 + u*o**3 + a*o and give v.
29
Express 8*v**2 + 843 + 0*v**2 - 844 - 3*v - 14*v**2 + 16*v**3 in the form j*v**2 + a + t*v + z*v**3 and give z.
16
Rearrange (-15 - 2*i**3 + 15)*(i - 1 + i - 1) + (4*i**2 - 11 + 11)*(-7*i**2 + i**2 + 2*i**2) to the form l*i**2 + g*i + c*i**3 + k*i**4 + r and give c.
4
Express 2*g + 11*g**3 - 214390 - g**2 + 214328 + 4*g**3 in the form y + p*g**3 + n*g**2 + u*g and give n.
-1
Express 5559*x**2 - 11097*x**2 + 5528*x**2 - 26*x**3 + 5*x**4 + 2*x in the form m*x + u + k*x**2 + n*x**4 + j*x**3 and give m.
2
Express -74 - 78 - 73 - 2*x - 73 + 297 + 537*x**2 in the form i*x**2 + p + f*x and give p.
-1
Rearrange (27 - 303 + 20)*(2*b - 2*b - 2*b) + (-12 - 12 - 38)*(-2 + 2 - 2*b) to the form j + g*b and give j.
0
Rearrange -7*k**4 + 4*k**2 - 12*k**4 - 3*k**4 - 672 - 679 + 1348 to the form c + j*k**4 + b*k**3 + z*k + v*k**2 and give v.
4
Express -3*u**4 - 17*u + u**3 + 45 - 64 + 17 - 10*u in the form q*u + n*u**3 + c*u**2 + l*u**4 + f and give l.
-3
Rearrange -15*q + 42*q - 2731 - 10*q - 15*q to the form p + k*q and give k.
2
Rearrange -3 + 304*t + 291*t - 3*t**3 + 78*t to y + w*t**3 + n*t + l*t**2 and give w.
-3
Express (28 - 59 + 130)*(-8 + 8 + 2*c)*(-2 + 4 - 5) in the form y + d*c and give d.
-594
Express (37*y**3 - 10*y**3 + 52*y**3)*(-16*y - 5*y - 19*y) in the form p*y + n*y**3 + b*y**2 + w + t*y**4 and give t.
-3160
Rearrange -2882 + 4*s**2 - 56*s + 1445 + 1432 to the form g*s + a + r*s**2 and give g.
-56
Rearrange (-2*b**2 - 2*b**2 + b**2)*(16 + 9 - 13)*(-5 + 18 + 1) to the form x + l*b + g*b**2 and give g.
-504
Rearrange -23*c - 494 + 21*c + 2*c + 4*c**2 + 0*c to the form t*c + w*c**2 + q and give w.
4
Express (m - 2*m + 0*m)*(196 - 616 + 2324)*(3 + 1 - 3) as z + s*m and give s.
-1904
Express 793*i + 3720*i - 1067*i in the form x*i + c and give x.
3446
Rearrange m**3 - 38 + 38 + (-1 + 2 + 0)*(-2*m**3 - m**2 + m**2) + 45*m**3 + 34*m**3 + 92*m**3 to the form f*m + g*m**2 + w + d*m**3 and give d.
170
Rearrange 120*y**3 - 8*y**3 - 106*y**3 - 70*y**2 - 8*y**3 to the form u + d*y + f*y**3 + r*y**2 and give f.
-2
Rearrange v + 0*v - 2*v + (-32 - 16 - 55)*(12 - 2*v - 16 - 9 - 14) to the form n + l*v and give n.
2781
Rearrange -2*m**2 + 61 + 17 + m**2 - 4844*m - 79 - 411*m to the form b*m**2 + a + s*m and give b.
-1
Rearrange (-3*j**3 + 0*j**3 + j**3)*(46 + 114 - 267)*(9 + 0 + 16) to the form c*j + v*j**3 + x + o*j**2 and give o.
0
Express (0*h + 377 + 23*h - 24*h)*(2*h + h - h - 3*h + 3*h - h + (-1 + 0 + 0)*(1 - 2*h - 1)) as c*h**2 + d*h + k and give c.
-3
Express 141 + 151 + 1338*d**2 - d - 292 in the form x*d + j + w*d**2 and give x.
-1
Rearrange 126*u**2 - 21*u**3 + 7*u**3 - 57*u**3 - 2 - u - 133*u**2 to k + a*u**2 + m*u**3 + d*u and give d.
-1
Rearrange -7076*t + 11391 - 11391 to the form w + u*t and give u.
-7076
Rearrange -2*d + 1 - 1 + (-2*d + 2*d + 2*d)*(-1 + 0 + 0) + 74158 + 286*d - 74158 to the form a + x*d and give x.
282
Rearrange (-845*k + 845*k + 83*k**2)*(-2*k**2 - 76*k**2 + 28*k**2) to the form s*k**2 + f*k**3 + l*k + m*k**4 + n and give m.
-4150
Express (12*t - 12*t + 6*t**2)*(-254 + 507*t + 254)*(3 + 4 + 0) as w + z*t**2 + h*t**3 + d*t and give h.
21294
Rearrange (1142*v - 5068 + 5068)*(2 - 1 + 1)*(v - v + 3*v)*(-2 + 1 + 7) to the form h*v**2 + q + j*v and give h.
41112
Rearrange (-2*d**4 + 0*d + 0*d)*(1380 - 2987 - 2800) - 2*d**4 + 0 + 0 + (-3*d**4 + 2*d**4 - d**4)*(4 + 3 - 5) to k*d**2 + y*d**3 + u*d + o + p*d**4 and give p.
8808
Rearrange -2273207*y**2 + 0 + 130*y - 4 + 2273224*y**2 + 3 to the form l + o*y + b*y**2 and give l.
-1
Rearrange -8*r**2 - r**4 - 1 + 36*r - 9*r**4 - 8*r**4 + 17*r**4 to g*r**3 + l*r + v + j*r**2 + m*r**4 and give v.
-1
Rearrange 325*n**2 - 36 + 666*n**2 - 17*n**2 + 141*n**2 + 39 to the form u*n + v*n**2 + w and give w.
3
Rearrange 0*d - 6 - 4*d - d to y*d + s and give y.
-5
Rearrange -3 + 281*y**2 - 3*y + 9*y - 558*y**2 + 271*y**2 to the form c*y + v + s*y**2 and give v.
-3
Express 2*y**3 - 2 + 2 + (2*y**2 - y**2 - 2*y**2)*(4*y + 5*y - 4*y) - 2*y**3 + 0*y**3 + y**3 + 22*y**3 - y**3 - 3*y**3 as t + c*y + k*y**2 + z*y**3 and give z.
14
Rearrange 9*d**2 - 9523*d - d**2 - d**2 - 6*d**2 - 2*d**2 to k*d**2 + h + m*d and give k.
-1
Rearrange -2*s**3 - 218*s + 37 + 57*s - 2*s**2 + 55*s + 49*s + 52*s to c*s + w*s**2 + m + r*s**3 and give m.
37
Rearrange -q**2 + 707 + 0*q**2 - 674 - q**2 + 0*q**2 - 5*q to the form i*q**2 + s*q + x and give i.
-2
Rearrange -362*u - 2724*u + 6000*u to q + p*u and give p.
2914
Express (r**2 - 5*r**2 + r**2)*(-37*r**2 + 4597*r - 4597*r) + 121*r**2 + r**4 - 121*r**2 + 5 in the form k*r + i*r**3 + n*r**4 + o + z*r**2 and give o.
5
Express 1725*a + 3427*a - 2823*a as r + k*a and give k.
2329
Rearrange 3981*q**3 + 4644*q**3 - 6789*q**3 + q**2 to y + z*q + j*q**3 + r*q**2 and give j.
1836
Rearrange (-29*w + 28*w + 90*w**3 - 25*w**3)*(0 - 5*w + 0) - 24*w + 2*w**4 + 24*w to the form z*w + n*w**2 + b + x*w**4 + j*w**3 and give n.
5
Express (-56 - 70 + 20)*(111 - 111 - 92*w) in the form f + h*w and give h.
9752
Rearrange (2 + 2 - 3)*(1 + 3 - 5)*(s + 54 - 36 - 109) to n*s + q and give q.
91
Rearrange 221 - 413 + 192 + 10691*h to c + f*h and give f.
10691
Express (2*c**2 + 7*c**2 - 6*c**2)*(0 - 5 + 3 + 3*c)*(-130 + 144 + 164) as y*c**3 + b*c + f + p*c**2 and give f.
0
Express -71 + 13*n**3 + 17*n**3 + 2*n**2 + 19*n**3 + 11*n**3 - 62*n**3 as v*n**3 + z*n + t + w*n**2 and give v.
-2
Express (2 - 3 + 0)*(48*r - 886 + 470 + 338)*(2 - 4 + 4) in the form x*r + b and give b.
156
Rearrange (5 - 4 + 1)*(4 - 2*v - 4)*((4*v - 3*v - 2*v)*(-2*v + 4*v + 0*v) - 27*v + 137*v**2 + 140*v**2 - 264*v**2) to l*v**3 + x*v + y*v**2 + g and give y.
108
Express -21*w**4 + w**4 + 2*w**2 - 58*w**3 + 4 + 116*w**3 - 56*w**3 - w**2 in the form b*w**3 + g*w**4 + a*w + o + j*w**2 and give g.
-20
Express 11465*i - 98903 + 98903 as z + y*i and give y.
11465
Rearrange 10496 - 55*n - 17*n + 359*n - 10510 + (-1 + 0 + 2)*(-6*n + 2*n + 3*n) to s*n + g and give s.
286
Rearrange (3 - 2 + 2)*(2 + 7 + 7)*(-41 + 92 - 34)*(5*m + 1 - 3*m + 0)*(-1 + 3 - 1) to the form t*m + p and give t.
1632
Express (p - p - p)*(136 + 544 + 135 | {
"pile_set_name": "DM Mathematics"
} |
57
Let d(l) = -2*l + 2. Calculate the lowest common multiple of 18 and d(-1).
36
Let b = 1 + 0. What is the least common multiple of 4 + 11 + -1 + -3 and b?
11
Let r(p) = p**3 + 13*p**2 + 11*p - 6. What is the smallest common multiple of r(-12) and 3?
6
Let i be 4/8 + 1/(-2). Find the common denominator of 0 + (-411)/30 - -2 and (i - (-33)/72)*14.
60
Suppose 8 = 5*l - 2. Suppose 0 = -5*a - 5*s + 140, -l*a + 0*s + 71 = -s. Find the common denominator of (-2)/(2/122*-18) and a.
9
Let r(h) = -3801*h + 4. Let s be r(5). Let v = -379923/20 - s. What is the common denominator of (-166)/4*1/2 and v?
20
Let p(l) = -5*l + 2. Let v be p(-6). Suppose 4*t = -2*q - 0*t + v, 5*t = -2*q + 37. What is the least common multiple of 6 and q?
6
Calculate the common denominator of (-3)/(-10)*(-689)/(-39) and 27/16.
80
Let o = -18 - -26. Let a(i) = -i**2 + 8*i + 6. Let p be a(6). What is the smallest common multiple of o and (-4)/p + 498/54?
72
Let r(j) be the second derivative of -7*j**5/20 - j**3/6 - j. Calculate the least common multiple of 2 and r(-1).
8
Let w = -5 + 9. Suppose -5*p = w*x - 60, 3*x + 58 = 5*p - 37. Let h = -23 - -31. Calculate the smallest common multiple of p and h.
16
Let w(d) = d**2 + 10*d - 7. Let z be w(-9). Calculate the lowest common multiple of 2 and ((-30)/(-8))/((-6)/z).
10
Let j = -8634 + 86409/10. Let k(i) = 663*i**2 - i - 4. Let v be k(3). Let w = v + -59709/10. Calculate the common denominator of j and w.
10
Find the common denominator of 2 - (1 - (1425/48)/(-5)) and 43/114.
912
Suppose -12 = -3*b - 33. Let f = 16 + b. Calculate the least common multiple of f and 5.
45
Let t = 121033/24 - 5047. Calculate the common denominator of t and 46/33.
264
Suppose d + 0*d - 3*c = 0, 2*c - 22 = -3*d. Calculate the common denominator of 75/22 and 162/32 - d/(-8).
176
Suppose -5*i + 12 = -3*i. Suppose 6 + i = 4*b. Let w = b + -2. What is the least common multiple of w and 6?
6
Calculate the least common multiple of 6/4*(-8)/(-3) and -5 - -3 - 3 - -6.
4
Let y = -4 + 7. Suppose -5*o - 5*c = -54 - 6, 3*o - 5*c - 12 = 0. Calculate the least common multiple of o and y.
9
Suppose 7*h = 2*l + 5*h + 8, -2*l - 3*h = -12. Let p = 86961/10 - 8689. Find the common denominator of p and (-159)/66 - -1 - l.
110
Find the common denominator of -2/7 and 3/(-5) - -1 - (-2580)/550.
77
Let z = 17220424437750217/98704 + -174465314854. Let h = z + -1/6169. What is the common denominator of -97/6 and h?
48
Let d = 7/22 - -46/11. Calculate the common denominator of d and -45/8.
8
Let s be (1 - (-5)/(-3))*3. Calculate the least common multiple of 5 and (-2)/(s - (-6)/4).
20
Let b(s) = -s - 3. Let u be b(-5). Suppose f = u + 2. Calculate the lowest common multiple of 8 and f.
8
Let t = -3184103/531067859 - 1/318577. Let d = t + -148143/36674. What is the common denominator of d and (-2)/6 + (-38)/36?
198
Let g = 40 - 30. What is the lowest common multiple of 14 and g?
70
Let d(n) = n**2 + 2*n - 5. What is the least common multiple of d(-5) and 12?
60
Suppose -4*a = -d + 14, 3*d - 7 = 2*d - 3*a. Calculate the lowest common multiple of 4 and d.
20
What is the common denominator of 91/30 and 178/(-132) - (-6)/198*6?
30
Let t = 93098669/12 + -7748625. Let j = t + -9589. Calculate the common denominator of j and -53/14.
84
Let f = 2 + 3. Suppose -16 = -5*k - 6. What is the lowest common multiple of f and k?
10
Let x(d) = d**2 + 5*d - 6. What is the smallest common multiple of x(-9) and 10?
30
Let o(i) = -i - 7. Suppose -5*q + 0*r = 2*r - 51, 3*q - 3*r = 39. Calculate the least common multiple of o(-9) and q.
22
Calculate the smallest common multiple of 4 and 2/4*-4 + 4.
4
Let d = 14/24035 + 55471/48070. Calculate the common denominator of 5/9 and d.
990
Suppose -1380 = -3*h - h. Let d = 202359/72974 + -1/3317. Calculate the common denominator of (-1 - -1) + h/(-20) and d.
44
Let q be (1 - 2) + (-2 - -5). Let h = -1 + q. What is the least common multiple of h/(-1 + 6/5) and 11?
55
Let u be 9/(-6)*(-2)/(-3). Let q be 3/(((-1)/(-2))/u). What is the common denominator of (-63)/q*(-1)/(-8) and -79/4?
16
Calculate the common denominator of 37/5 and (-9)/6*(-67)/3.
10
Suppose -f - 5 = -1. What is the least common multiple of 14/(-8)*8/(-2) and (-1)/(f/(12 - 4))?
14
Let h = -6 + 12. Let a(r) = -r**2 + 5*r + 8. Let g be a(h). Suppose -10 = g*j - 3*j. Calculate the smallest common multiple of j and 6.
30
Let i = -444464773916/1238974737 + 80/5363527. Let y = i - -557/33. Let a = -52989/154 - y. Find the common denominator of 139/18 and a.
198
Suppose 0 = 5*z - 0*z - 10. What is the least common multiple of z and 4?
4
Let k = -192 + 194. Calculate the smallest common multiple of 40 and k.
40
Let d be -44*(-3 + (-118)/(-26)). Let y = 3655/78 + d. Find the common denominator of y and 57/20.
60
Let v = 2063/8 - 260. Find the common denominator of -2/11 and v.
88
Calculate the lowest common multiple of 10 and ((136/10)/1)/((-14)/(-35)).
170
Let v = 286 + -934/3. Calculate the common denominator of v and 28.
3
Let w(c) = -c**2 + 3*c + 3. Let h be w(3). Let d = h - -1. Calculate the lowest common multiple of (12 - d)*(2 + -1) and 6.
24
Let f(t) = t + 16. Let i be f(-13). Suppose -i*s + 5*c - 79 = 0, -2*s - 5*c = s + 29. What is the lowest common multiple of 8 and (-68)/(-18) - s/81?
8
Let g = 37 + -19. Let o = -11 + -2. Let a = 35 + o. What is the lowest common multiple of a and g?
198
Calculate the common denominator of 122/(-24)*(1 - -1) and 89/14.
42
Let x(h) = h. Let t be x(0). Let m be (t - 5)*(-8)/(-20). Calculate the common denominator of (-43)/3 - (m - -1) and -49/2.
6
Let x(f) = f**3 - 10*f**2 + 11*f - 11. Suppose 0 = -b + 5 + 4. Calculate the least common multiple of x(b) and 3.
21
What is the common denominator of -31/3 and (-3)/12 + (-275)/(-108)?
27
Let j = -69419/18770 - 3/1877. Calculate the common denominator of j and 13/3.
30
Suppose 5*f - 26 - 269 = 0. What is the smallest common multiple of 10 and (-3)/(-9) - f/(-3)?
20
Let v be (-3 - 2) + 2 - -153. Let o be (-4)/14 - v/(-35). Suppose -r + o*r = 42. Calculate the least common multiple of 18 and r.
126
Suppose 60 = 3*k + 2*j, 2*k - 67 = -5*j - 27. Let o be 11 + -2*3/(-6). Let d = k - o. Calculate the least common multiple of d and 4.
8
What is the smallest common multiple of 9 and 5 + -1 + -1 + -2?
9
Let r be (-3)/(-2)*(-1 + 11). Suppose -o = -3*d + 3, -d + 2*o + r = -3*o. Let v(h) = h + 10. What is the least common multiple of 18 and v(d)?
90
Let k = -3400/189794009 - 136085324931553/11500378181346. Let u = k - 2/10099. Find the common denominator of -25/6 and u.
6
Let y = 30 - 17. What is the least common multiple of y and 9?
117
Suppose 5*l = 4*l + 12. Let b = -22 - -11. Let s = b + 25. What is the smallest common multiple of l and s?
84
Suppose -2*p + 13 = p + 5*w, 4*p = 2*w + 26. Suppose 0 = 4*t - 12 - 20. Calculate the lowest common multiple of p and t.
24
Suppose 4*h + 26 = 2*c, 8*c + 4*h = 3*c - 5. Let l = -24 + 31. Calculate the smallest common multiple of l and c.
21
Let i(b) = b**3 - b**2 + 6. Let k = -195 - -204. Calculate the least common multiple of i(0) and k.
18
Let x = 7175/6 - 3632/3. Find the common denominator of -5/6 and x.
6
Suppose 4*n + 27 - 83 = 0. Suppose n = z + z. Calculate the least common multiple of z and 5.
35
Let r = 5/13 - 51/65. What is the common denominator of 23/6 and r?
30
Let d = 8 - 6. Let p(u) = -2*u + 2. Calculate the least common multiple of d and p(-3).
8
Let z be 35/15 + 2/3. Suppose 2*b + 35 = 3*c, z*c - b - 21 = 10. Let y(x) = -2*x. What is the lowest common multiple of y(-1) and c?
18
Let i = 1/288 - -2447/288. What is the common denominator of i and -5/16?
16
Suppose z + 4*v + 4 = 24, 4*v = z + 4. Let w = 0 - -18. What is the smallest common multiple of w and z?
72
Suppose 2*o - 4 = 0, o - 2*o = -4*p + 26. What is the smallest common multiple of p and 3?
21
What is the lowest common multiple of (8/12)/1*6 and 12?
12
Calculate the common denominator of -29/30 and 623/36*(-8)/(-28).
90
Let g = -10660 - -10180302/955. Let n = g - -56337/3820. Calculate the common denominator of n and (0 + -1)*(-146)/36.
36
What is the common denominator of ((-4)/(-64))/(1/(-18)) and 32/9?
72
Suppose 0*t = 2*t - 6. Let j be (-1)/t + (-8)/12. What is the common denominator of -46/9 and 1 + | {
"pile_set_name": "DM Mathematics"
} |
= 0. What is the highest common divisor of a and t?
14
Suppose -55*t = -57*t + 6. Suppose -n + 30 = 2*n. Suppose 3*s - 23 = -l, 4*s = -n*l + 5*l + 16. Calculate the highest common factor of s and t.
3
Let z(h) = 52*h**3 + 2*h - 2. Let d be z(1). Let y = -35 + d. Calculate the highest common divisor of 136 and y.
17
Let g(l) = -l**3 + 29*l**2 + 30*l + 225. Let w be g(24). What is the greatest common divisor of w and 459?
153
Suppose 14*q = 17*q - 27. Let t be 5/(-3)*(q - 57). Let n be (6/(-5))/(((-4)/t)/1). Calculate the greatest common factor of n and 48.
24
Let k be 268 - 18 - (9 + -1). Calculate the greatest common factor of 2200 and k.
22
Suppose 0 = -d + 3, 10*q - 5*d = 7*q - 6. Let k(p) = 2*p**3 - 4*p**2 + 4*p - 8. Let z be k(q). What is the greatest common factor of 297 and z?
11
Let j(w) = 113*w + 854. Let k be j(-7). What is the highest common divisor of 98 and k?
7
Let l be 46 + 5 + (5 - 18). What is the highest common divisor of 133 and l?
19
Let h(z) = -68*z - 3998. Let l be h(-61). Calculate the greatest common factor of l and 84.
6
Let s = 1632 + -306. Let h = -833 + s. Calculate the highest common factor of 17 and h.
17
Let w be (-27)/(6480/(-5728)) + (-8)/(-60). Let d(x) = 8*x**2 - 4*x - 8. Let g be d(6). Calculate the greatest common factor of w and g.
8
Let a = 117 + -107. Suppose a*c = 3*c - 7. Let h be 2/c - (-13 - -14) - -123. Calculate the highest common divisor of 24 and h.
24
Let t be ((-2)/(-4))/(1/168). Let d(r) = 1806*r - 41475. Let b be d(23). What is the greatest common factor of t and b?
21
Suppose -3*y + 75 + 144 = 0. Suppose 0 = -3*r - 4*g + 39, -30 = -4*g - g. Suppose -r*m + y = -27. Calculate the greatest common factor of m and 70.
10
Let m be (394/12)/(33/2178). Calculate the highest common factor of m and 11.
11
Suppose 8*x - 2 = 7*x. Let y(z) = 18*z + 7. Let j be y(x). Let s = j + 12. What is the highest common divisor of 33 and s?
11
Let q(u) = -u**2 + 228*u - 2535. Let h be q(12). What is the highest common divisor of h and 474?
3
Suppose 40*t - 17891 + 4252 - 12881 = 0. Calculate the greatest common factor of 2295 and t.
51
Let r(s) = -51*s - 4865. Let y be r(-96). Let o be 3414/10 + (-4)/10. Calculate the highest common factor of o and y.
31
Let g(a) = 124*a + 7094. Let x be g(-54). Calculate the highest common divisor of 4 and x.
2
Let x be (-3)/6*2 + 49 - (251 + -242). Let q be -3*-1*(1 + 2). Suppose 5*g - z - 56 = q, -z + 26 = 2*g. What is the highest common factor of g and x?
13
Let d(w) = -w**2 - 23*w - 87. Let x be d(-12). Let g = 47 + -20. Let t = x - g. What is the greatest common divisor of t and 90?
18
Suppose -48*m + 10*m - 9*m + 2303 = 0. What is the greatest common factor of m and 3577?
49
Let z = -59 + 102. Suppose -60*p = -85*p + 50. Let x = z - p. What is the greatest common divisor of x and 82?
41
Let r(p) = 2*p**2 + 19*p + 66. Let t be r(-12). Calculate the highest common factor of 4032 and t.
126
Let v be 0 + 33 - (-1 + 2). Let q be (-3 - -121) + 94/(-14) + (-745)/(-1043). Calculate the highest common factor of v and q.
16
Suppose 6*g = g - 2*v - 11, 5*g = -v - 8. Let j be ((-522)/232)/(g/((-48)/(-1))). Calculate the greatest common divisor of j and 36.
36
Suppose -167*d - 778 = -168*d + 4*q, -4*d = -4*q - 3100. What is the highest common factor of 1247 and d?
43
Suppose -5*l = 2*v - 419, -5*v + 155 = 54*l - 52*l. Suppose -4*y = -0*q - 3*q + 51, 0 = y. Calculate the highest common divisor of q and l.
17
Let b = -489 - -688. Let f = -123 + b. Suppose f = 5*w + z, 42 = 3*w + 5*z + 14. What is the highest common factor of 64 and w?
16
Let f = -566 - -1588. What is the highest common divisor of f and 14?
14
Let f(q) = 7*q**3 + q**2 - 2*q + 4. Let g = 78 + -63. Let d be (-2)/(3*(-5)/g). Let r be f(d). What is the greatest common factor of 30 and r?
30
Suppose 4*p - 146 = -2*z - 0*z, 5*z - p - 310 = 0. Let w = 65 - z. Suppose 0 = 10*n - 88 - w. Calculate the highest common divisor of n and 117.
9
Let l = -310 - -370. What is the highest common divisor of l and 5220?
60
Suppose 3*x + 140 = 5*x + 2*w, 0 = 3*w - 12. Suppose 0 = 2764*r - 2713*r - 16830. What is the greatest common factor of r and x?
66
Let n = -8726 + 17094. What is the greatest common factor of n and 32?
16
Let k(i) = -19*i - 13. Suppose 5*q = -4*o - 13, 5*o + 12 - 1 = -q. Let c be k(q). What is the highest common factor of 36 and c?
6
Suppose -1 = -r + 2. Suppose 5*z = q + 126, 5*q = -23*z + 21*z + 18. What is the highest common factor of z and r?
3
Suppose -10 - 18 = -5*s + 2*l, -2*s = 3*l + 4. Suppose -2*h = -5*q - 598, h - s*q - 299 = q. Calculate the highest common divisor of 23 and h.
23
Suppose 0 = 4*l + 3*b - 3051, -385*b + 384*b - 3809 = -5*l. What is the highest common divisor of l and 7366?
254
Let f(w) = 98*w - 1291. Let t be f(18). What is the greatest common factor of t and 297?
11
Suppose 21*j = 28*j + 12*j - 229710. Calculate the highest common divisor of j and 90.
30
Suppose -355*r + 2964 = -359*r + 8608. Calculate the highest common divisor of r and 68.
17
Let c be 6/(-27) - (-5)/(90/832). Suppose -y + c = -g + 5*g, 47 = 5*g - 4*y. Calculate the greatest common divisor of 143 and g.
11
Let g be 27/(-12)*(8/(-20) - (-28)/(-30)). What is the highest common factor of g and 555?
3
Suppose -44*f - 6137 = -61*f. Let s = f - 328. Calculate the highest common divisor of s and 6.
3
Suppose -4*c - 16 = 0, -5*i + 5*c + 1233 = 373. Suppose 39*k = -39*k + 390. Suppose k*h = -i + 243. Calculate the greatest common factor of h and 75.
15
Let k = -445 + 463. Suppose -i = -5*t + 31, 4*t + 2*i + k - 40 = 0. Suppose 14 + 4 = 3*p. Calculate the greatest common divisor of p and t.
6
Let d(q) = 6*q**2 + 2839*q - 17126. Let n be d(6). Let h = 61 - -94. What is the highest common factor of n and h?
31
Suppose 2*z - 953 = -811. What is the greatest common divisor of 11573 and z?
71
Let a = 123 + -123. Suppose a = -3*t - 2*q + 42 + 60, 4*q + 12 = 0. Suppose 41*u = t*u + 35. Calculate the highest common factor of u and 35.
7
Suppose 253*a - 108114 = -31*a + 62*a. Calculate the highest common factor of a and 1.
1
Suppose 153*b = 161*b - 328. Suppose 1533 = 2*q + 5*i, -q = -3*i - 1160 + 366. Calculate the greatest common factor of b and q.
41
Let k be 1274/10 - 2460/1025. Calculate the greatest common divisor of 5500 and k.
125
Let l be 2330 + -2225 - 55/1. Let z = 224 - 94. What is the greatest common divisor of z and l?
10
Let h be (-14)/77 - (-4 - 27336/187). Let l(c) = -10*c. Let k be l(-4). Calculate the highest common divisor of k and h.
10
Let o be 16/20 + ((-1048)/(-40) - 7). Calculate the greatest common factor of o and 160.
20
Let l = 38 - 33. Let w = 4 - l. Let g be (-4 - (3 - -1))/w. What is the greatest common factor of g and 32?
8
Suppose -199 + 269 = 14*q. Let m = 4 - 3. Let v = 4 + m. Calculate the highest common factor of q and v.
5
Let w be (7 - 1)*(-19)/(-57). Suppose -w*o - 362 = -1088. Calculate the highest common divisor of 33 and o.
33
Suppose -354 - 537 = -2364*v + 2355*v. Let l be 2/8 - (-1053)/12. Calculate the greatest common divisor of l and v.
11
Suppose -4*a - 64 = -4*g, 3*g + a - 41 = -3*a. Suppose 105 = 4*r - 3*v, 2*v + v + 15 = r. What is the greatest common divisor of g and r?
15
Let n be ((-3)/((-27)/(-777)))/((-62)/1302). Calculate the highest common divisor of 37 and n.
37
Suppose 0 = 2*z - 60 - 10. Suppose -2*c = -0*c - 62. Let n = c - 21. What is the greatest common divisor of z and n?
5
Let d(s) = 31*s + s**3 + 7 + 7 - 11*s**2 - 3 - 5. Let x be d(10). Suppose 3*r - 74 - 7 = 0. Calculate the greatest common divisor of x and r.
27
Let h(t) = -6*t**2 + 4*t - 8. Let m be h(3). Let i = -53 - m. Let v be (49 - -7) + (i - -1). What is the greatest common divisor of 36 and v?
18
Let m be ((-900)/7)/(8/(-1540)). What is the greatest common factor of m and 22?
22
Let p be -1*1 + 146 + -1. Suppose 9*j = 234*n - 238*n + 137, -5*j - 27 = -n. Calculate the highest common factor of p and n.
16
Suppose -19*y = 8*y - 81. Let c be (-8)/(45/(-54) + y/(-18)). Suppose v + 20 = 76. Calculate the highest common factor of c and v.
8
Let o = 321 - 342. Let t be (98/o)/(2/(-39) - 0). Calculate the greatest common factor of t and 65.
13
Suppose x - 22 = 3*i, 0 = -5*x - 3*i + 145 - 53. Let a = -343 - -666. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
t common multiple of 2 and g.
30
Let g = 470 + -172. Calculate the common denominator of 57/4 and 3/((-96)/g) - -3.
16
Suppose -5*f = 4*c - 560, 3*f + 27*c - 329 = 26*c. Calculate the smallest common multiple of f and 24.
216
Suppose -2*t + 12 + 12 = 0. Let w(p) = -p - 4. Let d be w(0). Let g = d + t. Calculate the lowest common multiple of 6 and g.
24
Suppose -2*h = -h - 28. Suppose v + 0 - 6 = 4*p, -5*v - 2*p + 96 = 0. Let s = h - v. Calculate the lowest common multiple of s and 4.
20
Let y = -1188 - -28553/24. Calculate the common denominator of 53/30 and y.
120
Suppose 3*c = z + 845, -z - 4*c = 3*z + 3332. Calculate the common denominator of -101/56 and (-4)/38 - 1798/z.
616
Let q be 5 - 4 - 369/39. Let g = -29/16876 + 14939407/2413268. Let f = q + g. Calculate the common denominator of f and -64/3.
33
Suppose 0 = y + 1 - 0. Let u = 6 + y. Suppose 5*o - 33 = 2*l, 5*o + 3*l - 4*l = 34. What is the least common multiple of u and o?
35
Let o = -64/11 - -628/55. What is the common denominator of o and 62/5?
5
Let z be 64 + (2/(-2) - 0). Let p be z/14*8/13. Let r = 305/26 + p. Calculate the common denominator of r and -77/6.
6
Let g(o) = o**2 + 5*o + 2. Suppose -10*l = -499 + 399. Calculate the lowest common multiple of l and g(-5).
10
Suppose -5*l = 5*g - 5, g - 3 = -4*l - 4*g. Let s(o) = o**2 - 2*o + 1. Let v be s(3). Suppose 5*c - v = 21. Calculate the least common multiple of c and l.
10
Let c = 7660 + -61203/8. What is the common denominator of 38/(-96)*(-5 + 14) and c?
16
What is the common denominator of (-221)/(-476) + -1 + 4 and 5/28?
28
Let f = 2945/2 + -1428. Let u = 45/23642 - -384406649/236420. Let q = u - 1623. What is the common denominator of f and q?
20
Suppose 0 = 5*n + 8 + 17, 0 = 3*h - 4*n + 124. Let i = 1/220 + 1677/110. What is the common denominator of i and h?
4
Let o(q) = q**3 - 6*q**2 - q + 5. Suppose 4*r = -r + 30. Let d be o(r). What is the smallest common multiple of -4*4/4*d and 14?
28
Let i = 26 - 16. Let x = 99/7 - i. Let o = 2825 - 19722/7. What is the common denominator of x and o?
7
Let n = -2365 - -4825/2. Let i be (20/(-2) - -3) + 3. Find the common denominator of n and ((-536)/240)/(i/10).
12
Let k(b) = -2*b + 14. Suppose -4*f = r + 9, -2*r - r = -5*f + 27. Calculate the lowest common multiple of k(r) and 4.
32
Let a = -130061/14316 + 2/1193. Calculate the common denominator of (65/(-2))/(1 + -3) and a.
12
Let p(t) = -6*t + 130. Suppose w - 3*c = 0, 4*w - c - 22 = -0*w. Calculate the least common multiple of p(20) and w.
30
Let f = -1139 - -1145. Calculate the smallest common multiple of 108 and f.
108
Let f be 22/(-16) - 33/(-88). Find the common denominator of f/(-74)*(-3 - (1 - 5)) and -19/5.
370
Let p = -4/363 - -36703/3630. Find the common denominator of -61/69 and p.
690
Let p(m) = -m**2 - 5*m + 12. Suppose 0 = 19*u - 13*u. Let w = 20 - 10. What is the lowest common multiple of w and p(u)?
60
Let w = 15 + -13. Suppose -3*z = -0*z - 36. Calculate the lowest common multiple of z and 280/105*(0 - (-3)/w).
12
Calculate the common denominator of -62/5 and ((-240)/300)/(3/(45/426)).
355
Let g be ((80/15)/8)/((-2)/(-252)). Let f = 108 - g. Calculate the least common multiple of 9 and f.
72
Let r(x) be the second derivative of x**4/12 + x**3/6 + 3*x**2/2 - x. Let h be r(-3). Calculate the common denominator of -5 + h - 159/12 and 1/3.
12
Let w = 6/1807 + 124551/39754. Find the common denominator of w and (27/(-7))/(26/(-91)).
22
Let w = -12939/2 - -7385. Let r = 943 - w. Find the common denominator of r and (111/(-12))/(3/(-2)).
6
Let l(d) = 88*d - 76. What is the lowest common multiple of 16 and l(4)?
1104
Let i = 14/785 - -66613/6280. What is the common denominator of i and -71/4?
8
Let z(x) = 12*x - 7 + 4 - 11*x - 3. Let a be z(12). What is the least common multiple of 9/(-6)*(-88)/a and 12?
132
Let g = -34/99 + 5/11. Calculate the common denominator of -97/46 and g.
414
Suppose -25*a + 32 = -17*a. What is the lowest common multiple of 108 and a?
108
Let m(y) = 29*y**2 + 87*y - 362. What is the least common multiple of 33 and m(4)?
4950
Let r be 30/(-1024) + -4 - (-12)/3. Let x be (5259/80)/((-288)/55). Let u = x + r. What is the common denominator of u and 113/28?
84
Suppose -i = 2*q - 14, -3*q - 4*i + 0 + 21 = 0. Calculate the smallest common multiple of 24 and q.
168
Let c(r) = -3*r + 8*r - 6*r + 1. Let i = -3 + 5. Find the common denominator of c(i) and 35/9.
9
Suppose 2*x + 8690 = 3*n, -3*n + 3*x + 8683 = 8*x. Let k = n - 63647/22. Calculate the common denominator of k and 25/6.
66
Let s = 23906/693 - 310/9. Find the common denominator of s and 13/28.
308
Let m = 10261/260 - -9/260. Find the common denominator of m and -3/146.
146
Let w = -26551/1578 + -2/263. Find the common denominator of w and 5/(-18)*1/45*18.
18
Calculate the common denominator of -29/4 and 2/5 + (-9686)/(-5510).
76
Suppose -5*z + 40 = -5*g - 0*g, 2*z - 4 = -g. Let w = -27 + 32. Calculate the least common multiple of w and z.
20
Let q = 5515/516 + 8/129. Find the common denominator of (4/30)/(-2 - (-212)/102) and q.
20
Suppose -2*o = 19*l - 24*l + 130, -25 = -5*o. Calculate the least common multiple of 20 and l.
140
Find the common denominator of 67/156 and (-1923)/(-252) + (-6)/(-21).
156
Suppose 6*h = 24 - 12. Let v = -14 - -23. Calculate the smallest common multiple of v and h.
18
Suppose -156 = 7*m - m. Let x = -15 - m. What is the smallest common multiple of 1 and x?
11
Let p be (-1 - -53162) + (-1)/1. Let y be 1/(-7) + p/112. Let s = 490 - y. What is the common denominator of s and -73/6?
6
Let g(m) = 37*m + 94. Calculate the lowest common multiple of 20 and g(-2).
20
Suppose -40 = -3*z - 2*z. Suppose 3*v - 3*g - 28 = -7*g, -4*v + 36 = 4*g. What is the least common multiple of v and z?
8
Suppose -1 + 27 = -n. What is the least common multiple of (-152)/n + (44/(-52) - -1) and 6?
6
Suppose 0 = d - 5*r + 1 + 10, 2*d - 3*r - 6 = 0. Calculate the least common multiple of d and 5.
45
Let b(t) = -2*t**2 + 2*t - 6. Let q be b(-9). What is the common denominator of 23/18 and ((-12)/(-672))/(1/q*-4)?
1008
Let s be 293/60*4*40/256. Let w = s - 29/24. Find the common denominator of w and -73/36.
288
Suppose 3*r - 290 = 5*v, 30*r - 4*v = 34*r - 344. Calculate the smallest common multiple of 90 and r.
90
Let w(b) = -20*b - 172. What is the least common multiple of 16 and w(-9)?
16
Let f(x) = 33*x**3 - x**2 - 7*x + 8. What is the lowest common multiple of f(1) and 2/1 - (1 + -2)?
33
Let p be (112/(-20) - -6)/((-1)/15). What is the smallest common multiple of 40 and 16/(-6)*(5 - (2 - p))?
40
Suppose 3*k - 2*k + 18 = 5*w, -16 = -2*k - 3*w. Suppose 3*g + k*g = -10. What is the common denominator of (-15)/12 - 1*g and 19/2?
4
Suppose 14 = -3*s + 74. Suppose 2*r + 5*l = -39, r - l + 3*l + s = 0. Let n = 20053/8 + -2503. Find the common denominator of n and r.
8
Calculate the common denominator of ((-1248)/(-105))/(-2) - -4 and 48.
35
Let i(n) = 6*n - n**2 + n**2 - 3*n**3 + 6 + 2*n**3 + 4*n**2. Calculate the smallest common multiple of -2*(-3)/2 - 1 and i(5).
22
Calculate the common denominator of (-3)/108*(-375)/27 and -53/14.
2268
Let h be (0 - 2/(-26))*5449. Let z = 418 - h. Let y = z + 393/104. Calculate the common denominator of y and 113/14.
56
Let i = -4/811141 - -2567143/27116443630. Let s = i - 1588057/1470920. Calculate the common denominator of s and -34.
88
Let c = 680/273 + -114/91. Find the common denominator of c and 38/3.
21
Let a be -175 - 1/(-3)*3. Calculate the common denominator of (-2)/1 + a/(-9) - 1 and -11/7.
21
Let i(w) = -w**3 + 25*w**2 - 25*w + 26. Calculate the smallest common multiple of i(24) and 3.
6
Let n be (624966/(-12))/(18/(-4)). Let c = 12049 - n. Let t = c + -476. Calculate the common denominator of 29/3 and t.
9
Let s = 2/9303 + -54497/37212. Calculate the common denominator of s and 87/40.
280
Suppose 0 = -7*a + 9*a + 4*s - 12, 2*a = s + 22. Let k = -4 + 8. What is the smallest common multiple of a and k?
20
Let i = 4022 + -10018. Let c = -36125/6 - i. Find the common denominator of -25/16 and c.
48
What is the lowest common multiple of 14 and (-31)/(-2)*(7 + -3)?
434
Let p = 27 + -15. Calculate the smallest common multiple of p and 81/12 + (-9)/12.
12
Calculate the common denominator of (2058/(-120) | {
"pile_set_name": "DM Mathematics"
} |
rob of sequence gb.
2/153
What is prob of sequence cc when two letters picked without replacement from wwlwwccclpllxcwllcc?
5/57
Three letters picked without replacement from {i: 1, n: 2, l: 1, b: 11, z: 3}. What is prob of sequence nin?
1/2448
Calculate prob of sequence fn when two letters picked without replacement from fnzuzuozofzn.
1/33
Three letters picked without replacement from {k: 9, n: 11}. What is prob of sequence knk?
11/95
Calculate prob of sequence muum when four letters picked without replacement from umrurn.
0
Two letters picked without replacement from anjjra. Give prob of sequence ra.
1/15
Two letters picked without replacement from aazaaaqalzqaaaqqaaoq. Give prob of sequence oa.
11/380
Calculate prob of sequence kkz when three letters picked without replacement from {z: 4, k: 10, l: 1, j: 2, w: 2}.
20/323
Four letters picked without replacement from ppzzhzzpzhzwwzzhhz. Give prob of sequence zzwp.
1/170
Two letters picked without replacement from {f: 1, j: 2, m: 7}. Give prob of sequence jm.
7/45
Three letters picked without replacement from fnnfnfnfnnfnn. What is prob of sequence fff?
5/143
Calculate prob of sequence qxq when three letters picked without replacement from qqxxqxx.
4/35
What is prob of sequence oe when two letters picked without replacement from {e: 4, o: 3, t: 5}?
1/11
Four letters picked without replacement from {g: 2, j: 8, v: 4}. Give prob of sequence jjvg.
8/429
Four letters picked without replacement from {p: 1, b: 1, k: 1, y: 2, w: 1, u: 1}. Give prob of sequence puyk.
1/420
Calculate prob of sequence pqqz when four letters picked without replacement from {x: 6, p: 2, k: 1, z: 2, q: 2, l: 4}.
1/7140
Calculate prob of sequence rnz when three letters picked without replacement from {a: 1, n: 2, z: 8, r: 2}.
8/429
Two letters picked without replacement from {i: 1, f: 3, h: 4, q: 1, a: 6, r: 1}. What is prob of sequence ar?
1/40
Two letters picked without replacement from xtxtxktktt. What is prob of sequence tt?
2/9
Calculate prob of sequence cbj when three letters picked without replacement from {j: 1, b: 2, c: 1}.
1/12
Four letters picked without replacement from {m: 4, x: 3, f: 1, u: 3}. What is prob of sequence uxuf?
1/440
Calculate prob of sequence yp when two letters picked without replacement from tpypbeyepe.
1/15
Calculate prob of sequence rj when two letters picked without replacement from {j: 1, r: 1, v: 1}.
1/6
What is prob of sequence hn when two letters picked without replacement from hhshsuhnnsnushnnhhs?
35/342
Four letters picked without replacement from {e: 1, w: 3, i: 1, o: 1, b: 1}. What is prob of sequence owie?
1/280
Three letters picked without replacement from wmmmyymll. What is prob of sequence llw?
1/252
What is prob of sequence js when two letters picked without replacement from {j: 7, t: 5, s: 4}?
7/60
Calculate prob of sequence tt when two letters picked without replacement from {m: 1, a: 1, i: 1, s: 5, t: 6, q: 6}.
3/38
Four letters picked without replacement from ebexebfeeeexfbfwf. What is prob of sequence ebxb?
1/680
What is prob of sequence rkwr when four letters picked without replacement from {q: 1, r: 5, w: 2, k: 1}?
5/378
Four letters picked without replacement from {l: 2, p: 8, g: 3, f: 3}. What is prob of sequence ffll?
1/3640
Four letters picked without replacement from {q: 2, b: 2, g: 1, h: 2, j: 7, v: 1}. Give prob of sequence jhvg.
1/2340
Three letters picked without replacement from {j: 3, o: 1, u: 1, q: 3, g: 2}. What is prob of sequence goq?
1/120
Two letters picked without replacement from wwwwwdwwwwkwwwkwddww. What is prob of sequence kw?
3/38
What is prob of sequence bsb when three letters picked without replacement from oolbllsloblolb?
1/364
Three letters picked without replacement from myolvvmvovly. Give prob of sequence yoy.
1/330
Calculate prob of sequence balp when four letters picked without replacement from aplabaatla.
1/504
Three letters picked without replacement from zzzzzozo. What is prob of sequence ooz?
1/28
What is prob of sequence wxw when three letters picked without replacement from xxwxwxxxx?
1/36
Three letters picked without replacement from ntonnnnonntnnnnnon. What is prob of sequence tot?
1/816
Three letters picked without replacement from qyyniyqqqyiifnfqfnnr. Give prob of sequence yqi.
1/114
Two letters picked without replacement from tcbctbwccs. Give prob of sequence ws.
1/90
What is prob of sequence gji when three letters picked without replacement from {j: 2, g: 2, i: 4}?
1/21
Two letters picked without replacement from zxszxsss. What is prob of sequence ss?
3/14
Calculate prob of sequence yiim when four letters picked without replacement from miviy.
1/60
Two letters picked without replacement from nbb. Give prob of sequence nb.
1/3
What is prob of sequence vgi when three letters picked without replacement from {g: 2, v: 3, i: 10, x: 3, n: 2}?
1/114
Three letters picked without replacement from rrssssp. Give prob of sequence psr.
4/105
Two letters picked without replacement from eketddiewtiwwewtiiei. What is prob of sequence it?
3/76
Calculate prob of sequence qdm when three letters picked without replacement from {q: 6, d: 1, m: 4}.
4/165
Four letters picked without replacement from evgedeeegev. Give prob of sequence evve.
1/132
Three letters picked without replacement from orara. What is prob of sequence aor?
1/15
What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbb?
1
What is prob of sequence wbwx when four letters picked without replacement from {r: 1, x: 1, b: 2, i: 2, w: 2}?
1/420
Two letters picked without replacement from ghjtehg. What is prob of sequence eg?
1/21
Calculate prob of sequence cc when two letters picked without replacement from ubbbcbuuuabcuuuuuuu.
1/171
Two letters picked without replacement from vwxvxvxxvxv. Give prob of sequence xw.
1/22
Calculate prob of sequence yebb when four letters picked without replacement from bejtbbby.
1/140
Four letters picked without replacement from nannnttf. What is prob of sequence afnn?
1/140
What is prob of sequence cf when two letters picked without replacement from {c: 2, f: 1}?
1/3
Calculate prob of sequence nnww when four letters picked without replacement from wwwnn.
1/10
Two letters picked without replacement from thhhthhhhhhhh. What is prob of sequence tt?
1/78
Two letters picked without replacement from hrshcrorosaooho. Give prob of sequence sr.
1/35
Two letters picked without replacement from hhyyhhyhyhyyhhyhhyyu. What is prob of sequence yh?
9/38
What is prob of sequence nn when two letters picked without replacement from {n: 16, i: 1, w: 1}?
40/51
Calculate prob of sequence fllf when four letters picked without replacement from vmfmljjvmvjvvj.
0
Calculate prob of sequence bx when two letters picked without replacement from sxvbh.
1/20
Three letters picked without replacement from {z: 3, y: 13}. Give prob of sequence yyz.
39/280
Three letters picked without replacement from {q: 3, r: 5}. What is prob of sequence qqr?
5/56
Calculate prob of sequence uuqq when four letters picked without replacement from unnvquevvvqnnvqvne.
1/6120
What is prob of sequence oh when two letters picked without replacement from ohhhohhhht?
7/45
Three letters picked without replacement from bgybbbbmmbbmbbbbgbb. What is prob of sequence bbb?
286/969
Three letters picked without replacement from vgpel. Give prob of sequence epe.
0
Three letters picked without replacement from {k: 1, b: 2, x: 2, d: 7}. What is prob of sequence xdb?
7/330
Calculate prob of sequence lln when three letters picked without replacement from lmqlmmqlmnlqm.
1/143
Four letters picked without replacement from bcicbcciicciciivii. What is prob of sequence ciic?
49/1530
Four letters picked without replacement from {v: 6, e: 4, y: 2, a: 3, m: 2}. Give prob of sequence aemm.
1/2380
Four letters picked without replacement from iiciwwtwlwiiwiw. What is prob of sequence iwli?
1/182
Four letters picked without replacement from {b: 4, u: 6, w: 2, n: 2, h: 2, d: 1}. What is prob of sequence dwhh?
1/14280
Four letters picked without replacement from lxglxrx. What is prob of sequence gxgl?
0
Four letters picked without replacement from oaaooooooooa. What is prob of sequence ooaa?
2/55
Four lett | {
"pile_set_name": "DM Mathematics"
} |
- 11. Solve u(n) = 0.
-6, -2, 0
Let h = 87 - 85. Factor 3*g - 3*g**h + 8*g**2 - 2*g**2.
3*g*(g + 1)
Let f(a) be the third derivative of 0 - 3*a**2 - 1/42*a**3 - 1/84*a**4 + 0*a - 1/420*a**5. Solve f(t) = 0.
-1
Let r = 27 - 13. Let m be 168/245 - 4/r. Factor 4/5*t + m*t**2 - 6/5.
2*(t - 1)*(t + 3)/5
Let f = -5 - -7. Suppose 32*h + 1 = 59*h + 1. Factor -4/5*y**3 - 8/5*y + h + 12/5*y**f.
-4*y*(y - 2)*(y - 1)/5
Let h(f) be the second derivative of 5*f**4/24 - 70*f**3 + 835*f**2/4 - 1032*f. Factor h(q).
5*(q - 167)*(q - 1)/2
Let k(f) = f**4 + f**2 - f + 1. Let r(u) = -u**5 - 3*u**4 + 9*u**3 + 3*u**2 - 14*u - 14. Let v(m) = -4*k(m) - 2*r(m). Find c such that v(c) = 0.
-3, -1, 2
Let y(h) be the second derivative of h**4/4 - 13*h**3/5 + 63*h**2/10 + 48*h - 1. Solve y(n) = 0.
1, 21/5
Suppose -282 = 5*s + 8. Let u be -5 - -2 - s/36*2. Let 2/9*n**5 + u*n**2 + 2/3*n**4 + 2/3*n**3 + 0 + 0*n = 0. Calculate n.
-1, 0
Let r = 144 - 144. Suppose 5*z - 8 - 2 = r. Factor 10/3*w**z + 0 - 8/3*w.
2*w*(5*w - 4)/3
Suppose -4*w = 20, -3*k - 4*w = -0*k + 5. Let h be (k - 3)/(-6)*-12. Determine p so that 8*p**3 + 12*p**h - 2*p**4 + 4*p**2 - 6*p**4 = 0.
-1, 0
Let v = -3199/68 + 838/17. Determine w so that 3/4*w**3 - 3/4*w**4 + v*w**2 - 3/4*w - 3/2 = 0.
-1, 1, 2
Let j(k) be the second derivative of k**4/24 + 2*k**3/3 + 7*k**2/4 - 2*k - 30. Solve j(c) = 0 for c.
-7, -1
Let s(a) be the first derivative of -a**7/3780 - a**6/540 - a**5/270 + 10*a**3/3 + 11. Let l(t) be the third derivative of s(t). Factor l(r).
-2*r*(r + 1)*(r + 2)/9
Let k be (1 - -6) + (-2106)/648 - -3. What is i in 1/4*i**3 + k*i + 27/4 + 9/4*i**2 = 0?
-3
Let g be 26 + (-9)/3 + 4. Let -4 + 34*q - g*q**2 - 11*q - q - 3*q**2 = 0. Calculate q.
1/3, 2/5
Let x(f) be the third derivative of -f**6/40 + 37*f**5/20 - 71*f**4/8 + 35*f**3/2 - 38*f**2 + f. Factor x(p).
-3*(p - 35)*(p - 1)**2
Let u be 5 + ((-1)/(-26))/((-6)/768). Let l(y) be the first derivative of 0*y - 4/39*y**3 + 3 - u*y**2. Suppose l(q) = 0. Calculate q.
-1/2, 0
Let r = 148 + -145. Factor 5*u**r - 12*u**5 + 14*u**5 - 7*u**5.
-5*u**3*(u - 1)*(u + 1)
Let o = 58 - 34. Factor 24 - 5*k**2 - o + 2*k**2 + 15*k.
-3*k*(k - 5)
Let v = -11 + 17. Let s(k) = 5*k**3 + 5*k**2 - 15*k + 5. Let o(y) = 5*y**3 + 4*y**2 - 15*y + 6. Let x(a) = v*s(a) - 5*o(a). Determine q, given that x(q) = 0.
-3, 0, 1
Let l(c) be the first derivative of -2*c**3/21 + 10*c**2/7 - 56. Factor l(v).
-2*v*(v - 10)/7
Suppose 0 = -7*c - 609 + 609. Let z(d) be the second derivative of 77/4*d**4 - 20*d**3 + c + 6*d**2 + 4*d + 363/20*d**5. Let z(t) = 0. Calculate t.
-1, 2/11
Determine b, given that 32/7*b**5 - 16/7*b**4 + 0 - 78/7*b**3 - 34/7*b**2 - 4/7*b = 0.
-1, -1/4, 0, 2
Let y(q) be the third derivative of -q**6/120 + 3*q**5/10 - 35*q**4/8 + 98*q**3/3 - 48*q**2 - 2*q. Factor y(o).
-(o - 7)**2*(o - 4)
Let u be (4 + (-584)/140)*((-480)/18)/8. Factor 0*a + u*a**2 + 0.
4*a**2/7
Let j(k) be the first derivative of k**6/840 - k**4/168 - 29*k**2/2 + 4. Let m(l) be the second derivative of j(l). Determine c so that m(c) = 0.
-1, 0, 1
Let i be ((-245)/36)/(-7) + (-84)/112. Find x, given that 8/9*x**3 + 2/9 + i*x**4 + 4/3*x**2 + 8/9*x = 0.
-1
Let k(o) be the second derivative of 1/120*o**6 + 1/4*o**2 + 0 - 1/80*o**5 + 1/24*o**3 - 1/16*o**4 + 9*o. Solve k(v) = 0.
-1, 1, 2
Suppose -4 = 4*g, -v + 3*g - 30 = -g. Let x(j) = 2*j**2 + 27*j + 69. Let o(f) = 12*f**2 + 161*f + 415. Let a(u) = v*x(u) + 6*o(u). Let a(k) = 0. Calculate k.
-6
Let x(q) be the first derivative of 2*q**6/27 + 4*q**5/15 - 23*q**4/9 + 44*q**3/9 - 28*q**2/9 - 240. Let x(l) = 0. Calculate l.
-7, 0, 1, 2
Factor -5*k**2 + 9/2*k**3 - k**4 + 7/4*k + 0 - 1/4*k**5.
-k*(k - 1)**3*(k + 7)/4
Let x(n) be the third derivative of 0*n - 9*n**2 - 1/42*n**7 + 0*n**3 + 0 + 5/336*n**8 + 0*n**4 - 5/24*n**6 - 1/4*n**5. Factor x(m).
5*m**2*(m - 3)*(m + 1)**2
Solve 960*h + 194/5*h**2 + 4608/5 + 2/5*h**3 = 0 for h.
-48, -1
Let b(w) = 7*w**4 + 3*w**3 - 5*w**2 - 13*w - 2. Let u(l) = 51*l**4 + 21*l**3 - 33*l**2 - 90*l - 12. Let p(s) = 15*b(s) - 2*u(s). Let p(g) = 0. Calculate g.
-1, 2
Suppose -10*g + 23 = -7. Let j(t) = 7*t**5 + 10*t**3 - 9*t. Let q(a) = a**5 + a**3 - a. Let p(u) = g*j(u) - 24*q(u). Factor p(y).
-3*y*(y - 1)**2*(y + 1)**2
Let g be 66/(-54) - 6/(-27). Let r be (g - (-2 - 2)) + 1. Find o, given that -r*o**3 - o**5 - 2 + 0*o + 2*o**5 + 4*o + 2*o**2 - o = 0.
-2, -1, 1
What is g in -16/3 + 16/3*g - 4/3*g**2 = 0?
2
Solve 0 - 2/9*b**3 + 8/9*b**2 + 8/3*b = 0.
-2, 0, 6
Let c(m) be the second derivative of -m**7/420 + 7*m**6/360 - m**5/30 - 5*m**4/6 + 9*m. Let z(a) be the third derivative of c(a). Find b, given that z(b) = 0.
1/3, 2
Let b = -17 - -17. Let a(l) be the second derivative of -2/63*l**7 + 0*l**4 - 2/9*l**3 - 4*l + b + 0*l**2 + 2/15*l**5 + 0*l**6. Suppose a(j) = 0. Calculate j.
-1, 0, 1
Let h be 14/(-28) + (-7)/(-2). Factor -48*k**3 + 0*k**2 + 37*k**3 - 8*k**2 + 47*k**h.
4*k**2*(9*k - 2)
Let u = 2323 - 9291/4. What is d in 0 + 1/4*d + 3/4*d**3 + u*d**4 + 3/4*d**2 = 0?
-1, 0
Factor -648*z**2 + 14408*z**3 - 54*z**4 - z**5 - 14732*z**3 - 2*z**5.
-3*z**2*(z + 6)**3
Let b(v) be the third derivative of v**5/30 - v**4/24 + v**3/3 + 4*v**2. Let a be b(1). Solve -9*r - 3*r**3 - 4*r**2 - 2*r**a - 3*r**4 + r**4 + 8*r = 0 for r.
-1, -1/2, 0
Let c be (9/(-28))/(30/(-35)). Let n = -1388 - -1392. Determine b, given that -3/8*b**3 + c*b**n - 3/8*b**2 + 0*b + 0 + 3/8*b**5 = 0.
-1, 0, 1
Suppose 0 = 3*b - 4*v + 3*v - 7, b - 4*v = -16. Suppose -b - 191*h**4 + 14*h + 189*h**4 + 7*h**3 - 18*h**2 + 3*h**3 = 0. Calculate h.
1, 2
Let 99/2*j + 27/2*j**3 + 78*j**2 - 15 = 0. Calculate j.
-5, -1, 2/9
Suppose -1445 = -5*a + 5*g, 3*g - 855 = -2*a - a. Suppose -281 = 3*c - a. Factor -4/5*w + 6/5*w**c + 0.
2*w*(3*w - 2)/5
Let o be ((7 - 1) + 735/(-126))*0. Factor -1/2*z**2 + o + z.
-z*(z - 2)/2
Suppose 4*b - t - 7 = 1, -t = 0. Suppose -o - b*z = 0, -o = -0*o - 5*z - 14. Factor -2*w**3 + 4*w**3 + o*w**2 + 2*w**3.
4*w**2*(w + 1)
Let j(b) be the third derivative of -2*b**7/105 - 29*b**6/30 + 2*b**5 + 32*b**2 + 2*b. Factor j(n).
-4*n**2*(n - 1)*(n + 30)
Let o(h) be the second derivative of h**5/30 + 11*h**4/12 - 4*h**3 - 18*h**2 - 3*h. Let k(z) be the first derivative of o(z). Suppose k(l) = 0. Calculate l.
-12, 1
Let q(a) be the third derivative of a**5/90 - 5*a**4/18 - 11*a**3/9 - 210*a**2. Suppose q(i) = 0. Calculate i.
-1, 11
Let j = -871/8 + 2629/24. Factor -2 + 4/3*w**2 + j*w**5 + 2/3*w**4 + 10/3*w - 4*w**3.
2*(w - 1)**3*(w + 1)*(w + 3)/3
Let j(o) = -17*o**2 - 9 - 8 + 9 + 6*o**2 + 13*o. Let n(a) = -21*a**2 + 25*a - 15. Let d(b) = -11*j(b) + 6*n(b). Let d(k) = 0. Calculate k.
2/5, 1
Let p be 4060/1305 - 1/9. Find w such that -1/6*w**5 - 1/2*w**p - 1/6*w**2 + 0 + 0*w - 1/2*w**4 = 0.
-1, 0
Let l(b) = b**3 + 10*b**2 + 13*b + 6. Let n be l(-8). Factor -n*u - 6 - 75/2*u**2.
-3*(5*u + 2)**2/2
Let u(l) be the third derivative of -l**7/315 + l**6/36 - l**5/10 + 7*l**4/36 - 2*l**3/9 + 96*l**2 - 2. Factor u(p).
-2*(p - 2)*(p - 1)**3/3
Let u = -319 - -998/3. Let i = -13 + u. Factor -i*m**2 + 0 - 2/3*m**3 + 0*m.
-2*m**2*(m + 1)/3
Let g(w) be the second derivative of -w**7/504 - w**6/72 - w**5/24 + 17*w**4/6 - 15*w. Let a(d) be the third derivative of g(d). What is p in a(p) = 0?
-1
Let q(t) be the second derivative of -t**6/45 - t**5/15 + 2*t**3/9 + t**2/3 + 21*t. Let q(j) = 0. Calculate j.
-1, 1
Let h = -201/11 - -3505/187. Let g = 10/51 + h. Let -1/3*u**4 + 0 + 0*u**3 + u**2 + g*u = 0. Calculate u.
-1, 0, 2
Let u(k) be the third derivative of 0*k**3 + 0*k + 1/72*k**4 - 1/90*k**5 + 0 + 1/360*k**6 + 4*k**2. Find d such that u(d) = 0.
0, 1
Factor 21/5 - 3/5*x**2 + 18/5*x.
-3*(x - 7)*(x + 1)/5
Let c(i) be the first derivative of 0*i - 4/3*i**3 + 17 - 12/5*i**5 - 3*i**4 + 0*i**2 - 2/3*i**6. Factor c(y).
-4*y**2*(y + 1)**3
Factor 38/9*y**4 + 0 + 4*y**3 + 0*y + 0*y**2 + 2/9*y**5.
2*y**3*(y + 1)*(y + 18)/9
Let l(z) = z**2 + 4*z + 3. Let x be l(-3). Let j(w) be the second derivative of 1/3*w**4 + x - 2/3*w**3 - 5*w - 4*w**2. Factor j(y).
4*(y - 2)*(y + 1)
Let l(x) be the second derivative of -x**6/15 - 13*x**5/10 - 23*x**4/6 - 11*x**3/3 + 32*x - 6. What is k in l(k) = 0?
-11, -1, 0
Let u = 450826/67623 - 2/22541. Suppose -8/3*c + 16/3*c**3 + 0 - u*c**2 + 4*c**4 = 0. What is c?
-2, -1/3, 0, 1
| {
"pile_set_name": "DM Mathematics"
} |
= -p*h - 5000008. Round h to the nearest one hundred thousand.
-1000000
Let i be (-7124)/(-8) - 1/2. What is i rounded to the nearest 100?
900
Suppose j - 4*m - 5269 = -0*j, m - 5274 = -j. Suppose -18362 = -z - 3089. Let n = j - z. What is n rounded to the nearest ten thousand?
-10000
Let n(o) = 212200*o**2 + 3*o + 3. Let h be n(4). Let a = -13095215 + h. Round a to the nearest one million.
-10000000
Let b(k) = -3*k - 4. Let p be b(-2). Suppose -4*w + 22 = 5*j - 4, 0 = p*j + 4*w - 8. Round j to the nearest integer.
6
Let c be (3 + -162503)*(1 + -3). Round c to the nearest ten thousand.
330000
Let o = 66 + -65.999807. What is o rounded to 5 dps?
0.00019
Let m = -3 - 1. Let u be 1/(1/8*-1). Let q be (-2)/u + 1201/m. What is q rounded to the nearest 1000?
0
Let a(s) = 144*s**2 - 7*s + 1. Suppose 0 = 2*h + 2*h - 5*w + 30, 4*h + 2*w + 16 = 0. Let d be a(h). Let i = -1636 + d. What is i rounded to the nearest 10000?
0
Suppose -1 + 11 = 5*g. Suppose -g*c + 2*w = -3*w + 73, 3*c = -w - 101. What is c rounded to the nearest ten?
-30
Let a = -22499.407 + 32.407. Let m = 22467.050042 + a. Let l = m + -0.05. What is l rounded to 5 decimal places?
0.00004
Let m = -4.2 + 9. Let t = -84.8 + m. Let j = t + 80.000118. What is j rounded to five dps?
0.00012
Suppose 3*o + 4*x = 51005742 + 18732049, 2*o - 46491864 = -2*x. Let h = o - 36027469. Let w = -8181532 - h. Round w to the nearest one million.
5000000
Let g be (-12)/(2/(-1) - 0). Let t = g + -87. Round t to the nearest 10.
-80
Let c = -21692 + 15332. Round c to the nearest one thousand.
-6000
Let l = 50180765721 + -50180980261.07037. Let t = 214541 + l. Let p = t + -0.93. Round p to 4 decimal places.
-0.0004
Let a = 57331.71195992 + -57282.8924. Let y = -22.18043955 - a. Let k = y + 71. Round k to seven dps.
0.0000005
Let a = -7.348 - 0.052. Let p = a - -7.399969. Round p to 5 decimal places.
-0.00003
Let o(l) = 1231*l - 16. Let m(t) = t. Let s(k) = -1848*k + 24. Let p(g) = m(g) + s(g). Let v(d) = -7*o(d) - 5*p(d). Let u be v(6). Round u to the nearest 1000.
4000
Let j = 1418 - 1418.000000861. Round j to 7 dps.
-0.0000009
Let r = 0.07 - 0.03. Let g = r + 6.96. Let y = 6.9982 - g. What is y rounded to 3 dps?
-0.002
Let v = -22 - -14. Let o = -12443398 + 12443406.000057. Let g = o + v. What is g rounded to five decimal places?
0.00006
Let k = 1.75 - 1.833. Let q = 190987.082943 - 190987. Let d = q + k. Round d to five dps.
-0.00006
Let s be (3/9 + -2)*3. Let g = s - -2. Let v be (-3*23)/g - 0. Round v to the nearest 10.
20
Let z = -0.1 + 0.3. Let d = 120.794 - 121. Let l = d + z. What is l rounded to two decimal places?
-0.01
Let o = 13.9 - 13.89999504. What is o rounded to 6 dps?
0.000005
Let c be 490*2*1/4. Suppose -i + c = -6*i. Let v = -112 - i. Round v to the nearest ten.
-60
Let f = 1.07 - 1.0700275. What is f rounded to 5 decimal places?
-0.00003
Let l = -16 + 16.59. Let h = l + -1.51. Let c = h - -0.9199878. Round c to 6 dps.
-0.000012
Let x = 4 + -3. Let r(y) = 2964879*y - 1. Let d be r(x). Let w = 1164878 - d. Round w to the nearest one million.
-2000000
Let v = -282.4 - -221. Let b = -9.4 - v. Let a = 56.8 - b. What is a rounded to the nearest integer?
5
Let n = 8.1 - 9.23. Let v = -0.25 - n. What is v rounded to one decimal place?
0.9
Suppose 0 = -3*f - 4*t - 1019996, 4*f = -3*t - 1857969 + 497972. What is f rounded to the nearest one hundred thousand?
-300000
Let c = -368.42 - -372. Round c to one decimal place.
3.6
Let l be 1/(-4) + (-68805)/(-20). What is l rounded to the nearest one thousand?
3000
Let a(i) = i**2 + 1. Let z be a(-4). Let g(f) = -8*f**2 + z*f - f**2 + f**3 + 5 - 4*f. Let s be g(11). Round s to the nearest one hundred.
400
Let k = -0.2 - -0.19996. What is k rounded to 5 decimal places?
-0.00004
Suppose -n = 5*d - 62, -d - 2*n = -4*d + 32. Round d to the nearest 10.
10
Suppose -3*j - 32747742 = 18252258. Round j to the nearest one million.
-17000000
Let a(m) = -2*m + 1400. Let l be a(0). What is l rounded to the nearest one thousand?
1000
Let p be (-4 - -1)/(6/(-8)). Let w be 1/p + (-14)/(-8). Suppose w*u = 5*u + 23700. Round u to the nearest 1000.
-8000
Suppose 4319 = 2*f - 2441. Suppose 2*k + 0*k = -f. Round k to the nearest 100.
-1700
Let d = 2.9 + -2.792. Let z = -0.10800122 + d. Round z to seven decimal places.
-0.0000012
Suppose 23933 = -3*h + 8933. What is h rounded to the nearest one thousand?
-5000
Suppose 3*z = -z. Let b be (3 - -7) + -4*1. Let h be z + -40*885/b. What is h rounded to the nearest 1000?
-6000
Suppose 8088 = 5*r + 4*i, -r + 2*i + 0*i = -1626. What is r rounded to the nearest one hundred?
1600
Let b = 5.476565 + -0.47658. Let s = b - 5. Round s to five dps.
-0.00002
Let y be -2 + (-2)/((-2)/7). Suppose -y*r + 6999995 = 3*b - 2*b, b - 7000004 = 4*r. What is b rounded to the nearest 1000000?
7000000
Let g = 1.56 - 33.06. Let k = 31.499847 + g. What is k rounded to 5 decimal places?
-0.00015
Let h(r) = 2*r + 8. Let k be h(7). Suppose c = 4*d - k, 4*c + 3*d - 1 = 6. What is c rounded to the nearest integer?
-2
Let l = 0.29 - 0.5. Let y = l - -0.379. Round y to two dps.
0.17
Let q = -0.45 + 0.25. Let b = 969.1995 + -969. Let x = q + b. Round x to 4 dps.
-0.0005
Let a = -0.1 - -0.2. Let y = a - -0.15. Let v = -0.2334 + y. Round v to three decimal places.
0.017
Let k(f) = -974999*f**2 + 3*f + 2. Suppose -2*n + 18 = -2*d + 6, -28 = 4*d - 5*n. Let w be k(d). What is w rounded to the nearest one million?
-4000000
Let r = 0.299909 - 0.3. What is r rounded to 5 decimal places?
-0.00009
Let k = -248576.00028 + 248564. Let j = k - -12. Round j to four decimal places.
-0.0003
Let r = -1968.82 - -1987. Let s = r + -18. Let c = -0.4 + s. Round c to 1 decimal place.
-0.2
Let r = 30 + -30.0000045. What is r rounded to six decimal places?
-0.000005
Let y = -21642 - -31073. Let j = y - 9431.07986. Let q = -0.08 - j. Round q to four decimal places.
-0.0001
Let p = -0.33252905 + 0.68252827. Let t = -0.35 + p. Round t to 7 dps.
-0.0000008
Suppose 0 = -7*g + 3*g. Round g to the nearest 100.
0
Suppose 2*j + 279992 = -5*i, -3*j - 10419 = -5*i - 290431. Round i to the nearest 10000.
-60000
Let s = 0.048 - -34.952. Let h = s + -53. Let y = -15.1 - h. Round y to the nearest integer.
3
Let p = -26 + 17. Let i = 12 + p. Suppose n + 8400 = i*n. Round n to the nearest 1000.
4000
Suppose 3*t - 5*m - 83528 = 16572, -4*m + 66748 = 2*t. Suppose -3*c = -218630 - t. Round c to the nearest 10000.
80000
Let h = 2.34 - 15.04. Let v = -12.700212 - h. What is v rounded to 5 decimal places?
-0.00021
Let q = -46 + 46.0000035. Round q to six dps.
0.000004
Let t = -449784.596 - -1070.596. Let b = t - -448746.6861. Let o = -32.7 + b. Round o to three decimal places.
-0.014
Let k(g) = g**2 + 6*g - 10. Let n be k(-8). Suppose -2*f - 1 = a - n, 0 = f - a - 4. Suppose -f*w = -w + 1200. What is w rounded to the nearest one thousand?
-1000
Let f = 6 - 5.96. Let q = f - 0.187. Round q to 2 decimal places.
-0.15
Let z = -16.2 + 16.34. What is z rounded to 1 decimal place?
0.1
Let a = 33.97 - 34. Round a to one decimal place.
0
Let y be 0/2 + 22*2500. Round y to the nearest 10000.
60000
Suppose y - 1072 = -v, 2*v + y - 2*y = 2147. Let p be (1/(-1))/((-4)/20908). Suppose p = -o - v. What is o rounded to the nearest 1000?
-6000
Let z = 0.162 + 1.658. What is z rounded to 0 dps?
2
Suppose 4*m - 129972 = -4*b, 3*m + 9530 = b - 22963. Suppose 0 = -3*v + 357507 + b. What is v rounded to the nearest 100000?
100000
Let h = -0.223428 + 0.224. What is h rounded to four dps?
0.0006
Let b = -2627 - -5397. What is b rounded to the nearest one thousand?
3000
Let t = -910.35 - -910.659896. Let r = 0.29989532 - t. Let m = -0.01 - r. Round m to 7 decimal places.
0.0000007
Let v = 2.2 + 0.2. Let m = 19.4 - v. Let j = m - 17.0000104. Round j to six decimal places.
-0.00001
Let z = 83941 + -83941.169999. Let v = z - -0.17. Round v to 5 dps.
0
Let d = 440152 + -256205. Suppose -5*y - f + 265004 = 0, 4*y + f - 28057 = d. Round y to the nearest ten thousand.
50000
Let k = -0.287382 + 273034.287382. Let l = k + -273034.1170081. Let w = -0.117 - l. What is w rounded to six decimal places?
0.000008
Suppose 7*z - 2*z = 10. Suppose -z*j = 3*j - 855. Round j to the nearest 10.
170
Let x be -2 - 1 - (-5 + 8902). What is x rounded to the | {
"pile_set_name": "DM Mathematics"
} |
implify ((sqrt(25) - (sqrt(2025)*1 - sqrt(25))) + sqrt(25))/(sqrt(5) - sqrt(35)/sqrt(112)).
-8*sqrt(5)
Simplify sqrt(187)/(5*sqrt(121)/sqrt(11)).
sqrt(17)/5
Simplify sqrt(38)/(2*sqrt(128) - sqrt(2)).
sqrt(19)/15
Simplify -2 + (sqrt(175) - (sqrt(175) - (sqrt(175) + sqrt(175) + 1))).
-1 + 10*sqrt(7)
Simplify (sqrt(6) + (sqrt(288)/sqrt(6))/sqrt(8))/(sqrt(324)/sqrt(3) + sqrt(3)).
2*sqrt(2)/7
Simplify (0 + -3*(sqrt(180) + 1))**2.
108*sqrt(5) + 1629
Simplify (sqrt(91)*-2*4)/(sqrt(896)/sqrt(8)).
-2*sqrt(13)
Simplify (sqrt(17) + 0 + 2 + sqrt(102)/(sqrt(12)/sqrt(2)))**2.
8*sqrt(17) + 72
Simplify -2 + sqrt(180)*-1.
-6*sqrt(5) - 2
Simplify (2*(sqrt(11) + 5 + sqrt(22)/sqrt(2) + sqrt(11)))**2.
120*sqrt(11) + 496
Simplify 1*((sqrt(88) + (3*sqrt(88) - sqrt(88)))/sqrt(8) - sqrt(99)*-2)**2.
891
Simplify (-2 + sqrt(99))**2 + sqrt(11) + sqrt(1584)*2.
13*sqrt(11) + 103
Simplify -2 + ((sqrt(5) - sqrt(20))*-2 - -3*(1 + sqrt(5))).
1 + 5*sqrt(5)
Simplify (sqrt(117)*2*-4)/sqrt(9).
-8*sqrt(13)
Simplify -3*sqrt(12)*-1.
6*sqrt(3)
Simplify (3 + (sqrt(13) - sqrt(13)*-2))**2 + 3.
18*sqrt(13) + 129
Simplify -3*sqrt(48) + (sqrt(3) - sqrt(33)/(sqrt(33)/sqrt(3))).
-12*sqrt(3)
Simplify sqrt(171)/(sqrt(36)*-2 - sqrt(36)).
-sqrt(19)/6
Simplify ((1 + sqrt(128))*1)**2.
16*sqrt(2) + 129
Simplify -4*4*(-4 + 3*sqrt(2) + sqrt(2) + sqrt(2))**2.
-1056 + 640*sqrt(2)
Simplify -2*sqrt(20)/(-2*sqrt(1210)).
sqrt(2)/11
Simplify -4 + (sqrt(539) + 3 - sqrt(11)).
-1 + 6*sqrt(11)
Simplify (sqrt(228)/(sqrt(300)*1))**2.
19/25
Simplify (sqrt(539) + (-1*sqrt(539) - sqrt(539) - sqrt(539)) + sqrt(539))**2*-6 + -5*(-2 + sqrt(539)).
-3224 - 35*sqrt(11)
Simplify sqrt(18)/sqrt(9) + 4 + 6*(4 + sqrt(2) - sqrt(2)).
sqrt(2) + 28
Simplify (sqrt(315)/sqrt(81))/(-4*(sqrt(7) - sqrt(7)*-1)).
-sqrt(5)/24
Simplify (3*-3*(-2*sqrt(252) + 2))**2.
-3888*sqrt(7) + 81972
Simplify 4 + (sqrt(19) - sqrt(190)/sqrt(10)) + (sqrt(114) - -4*sqrt(114))/sqrt(6).
4 + 5*sqrt(19)
Simplify 4*(-4 + (sqrt(405) - (-2 + sqrt(405)))).
-8
Simplify ((-2*sqrt(140))/sqrt(4))/(sqrt(70)/(2*sqrt(10)) - sqrt(7)).
4*sqrt(5)
Simplify 6*sqrt(98) + -5.
-5 + 42*sqrt(2)
Simplify (sqrt(2)*3*1 + 1)*-3.
-9*sqrt(2) - 3
Simplify 1*(sqrt(125) + (-1*sqrt(125) - sqrt(125)) + sqrt(5) + (sqrt(50)/sqrt(2))/sqrt(5)).
-3*sqrt(5)
Simplify (sqrt(9)/sqrt(3) + 4)**2 + (-2*sqrt(3) - sqrt(3))*-1 + 0.
19 + 11*sqrt(3)
Simplify (-5*sqrt(784))/((1*sqrt(77))/sqrt(11)).
-20*sqrt(7)
Simplify -1*sqrt(128) + -1.
-8*sqrt(2) - 1
Simplify -5*-2*sqrt(102)/(sqrt(6) - -1*sqrt(6)).
5*sqrt(17)
Simplify 0 + -3 + sqrt(72).
-3 + 6*sqrt(2)
Simplify sqrt(32)*6 + 2 + -3.
-1 + 24*sqrt(2)
Simplify ((sqrt(66) + -5*-1*sqrt(66))/(sqrt(12)/sqrt(2)*-5))**2.
396/25
Simplify sqrt(108)*-2 - (sqrt(12) + 3).
-14*sqrt(3) - 3
Simplify -2*sqrt(175) + -1 - sqrt(175)*-1*-3.
-25*sqrt(7) - 1
Simplify (sqrt(198)/(sqrt(33)/sqrt(3)))/(sqrt(216)/sqrt(4)).
sqrt(3)/3
Simplify sqrt(468) + (-1 + sqrt(468))**2 + 0 + (2 + 0 + sqrt(468))**2.
18*sqrt(13) + 941
Simplify (1*(1*sqrt(152) + sqrt(152)))/(-2*sqrt(648)).
-sqrt(19)/9
Simplify (2 + sqrt(2057) + 4 + 2)**2.
176*sqrt(17) + 2121
Simplify ((-2*sqrt(17) + -3)*-3)**2 - (0 + -2*sqrt(1088) + sqrt(1088))**2.
-395 + 108*sqrt(17)
Simplify (sqrt(15)/(sqrt(5) + sqrt(45)))**2 + 0 + 2.
35/16
Simplify -2 + (sqrt(11) + (sqrt(88)/sqrt(8))**2 + 1)*-5.
-62 - 5*sqrt(11)
Simplify sqrt(7)*1*4 - (sqrt(7)*4 + 5 - sqrt(7)).
-5 + sqrt(7)
Simplify 0 + 4*(sqrt(320) + sqrt(320) + sqrt(320) + (sqrt(320) + sqrt(320)*2 - sqrt(320)))*-1.
-160*sqrt(5)
Simplify (3*(sqrt(833) + 1)*-1)**2.
126*sqrt(17) + 7506
Simplify (5*sqrt(156)/sqrt(3))/(-1*sqrt(4)*-1 + sqrt(4)).
5*sqrt(13)/2
Simplify -2*-2*(3 + sqrt(2)).
4*sqrt(2) + 12
Simplify (sqrt(1216)*-2*4 + sqrt(133)/(sqrt(7) + (sqrt(175) - (sqrt(175) - (sqrt(175)*2 + sqrt(175))))))**2.
19884051/256
Simplify (-1*(sqrt(176) + 1))**2.
8*sqrt(11) + 177
Simplify (-1 + sqrt(612) + sqrt(612) + (sqrt(612) + -1 - sqrt(612)) + 3)**2.
24*sqrt(17) + 2449
Simplify -3 + sqrt(76) + 0 + sqrt(76) + sqrt(76) + sqrt(19).
-3 + 7*sqrt(19)
Simplify 1*((sqrt(272) - (sqrt(272) - ((-2*sqrt(272) - sqrt(272) - sqrt(272)) + sqrt(272)))) + sqrt(272)).
-8*sqrt(17)
Simplify (sqrt(48)*-1 + -2)**2.
16*sqrt(3) + 52
Simplify (-6*(-1 + sqrt(325) + 1 + sqrt(325)))**2.
46800
Simplify ((sqrt(459) - sqrt(51))*5)/(sqrt(3) + (sqrt(3) - (sqrt(30)*2)/sqrt(10) - sqrt(3))).
-10*sqrt(17)
Simplify 2 + ((sqrt(5) - sqrt(5)*-3)*1 - (-1*sqrt(20))**2).
-18 + 4*sqrt(5)
Simplify -4 + (sqrt(192))**2 - ((sqrt(108))**2 + 5).
75
Simplify ((sqrt(27) - (sqrt(675) + -1)) + 1*sqrt(27)*-4)**2.
-48*sqrt(3) + 1729
Simplify 5*(2*sqrt(72) + sqrt(72)) + -4.
-4 + 90*sqrt(2)
Simplify (1*sqrt(70)*-4 - sqrt(70))/sqrt(10).
-5*sqrt(7)
Simplify (sqrt(1900) + -1 + 3)*-5.
-50*sqrt(19) - 10
Simplify (-5 + sqrt(1300)*1)**2.
-100*sqrt(13) + 1325
Simplify (-1 + sqrt(175)*2 - 6*-1*sqrt(175))**2.
-80*sqrt(7) + 11201
Simplify (-1*sqrt(891)*-1 + sqrt(891) + 5)**2.
180*sqrt(11) + 3589
Simplify 2 + (sqrt(104)*-4*-5 + sqrt(104))/sqrt(8).
2 + 21*sqrt(13)
Simplify (sqrt(475)*-1*4 + sqrt(475) + 4)*-2.
-8 + 30*sqrt(19)
Simplify sqrt(475) + (sqrt(475) + 0)**2 - sqrt(38)/(3*sqrt(2)).
14*sqrt(19)/3 + 475
Simplify 3*sqrt(68) + (sqrt(272) + -1)**2.
-2*sqrt(17) + 273
Simplify ((1*-1*sqrt(38))/(sqrt(32)*3))**2.
19/144
Simplify 1 + (sqrt(204) - sqrt(204)*1*5)/sqrt(12).
-4*sqrt(17) + 1
Simplify sqrt(52) + -1 + 2.
1 + 2*sqrt(13)
Simplify (sqrt(66)/sqrt(6)*-6)**2 + 1 + sqrt(11) + 1.
sqrt(11) + 398
Simplify (5*sqrt(22)/sqrt(2))**2 - ((sqrt(11) + sqrt(176) - sqrt(11) - sqrt(11)) + -4).
-3*sqrt(11) + 279
Simplify (sqrt(2) + sqrt(2) + sqrt(24)/sqrt(432))**2 + 2 + (sqrt(50))**2.
1105/18
Simplify (sqrt(1700) + sqrt(1700)*-4)*-5.
150*sqrt(17)
Simplify sqrt(171)/(sqrt(9)*1) - 5*(4 + sqrt(19) - sqrt(19)).
-20 + sqrt(19)
Simplify (sqrt(21)/(sqrt(36)/(sqrt(72)/sqrt(6))))**2.
7
Simplify (2 + sqrt(242) + (-2*sqrt(242))**2 + 0)*-2.
-1940 - 22*sqrt(2)
Simplify (4 + 1*sqrt(17))**2*-6*-1.
48*sqrt(17) + 198
Simplify (sqrt(1620)*-1)/(sqrt(4) + sqrt(100)*6).
-9*sqrt(5)/31
Simplify (sqrt(360)/sqrt(300))/(sqrt(6) + sqrt(96)*2).
sqrt(5)/45
Simplify ((1*sqrt(130))/sqrt(10)*4)**2.
208
Simplify (sqrt(50) + ((sqrt(300)*-1)/sqrt(6) - sqrt(50)))/((sqrt(120) + 1*sqrt(120) + sqrt(120))/sqrt(12)).
-sqrt(5)/3
Simplify sqrt(19) + sqrt(38)/sqrt(2) + -2 - (sqrt(19) + (sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + -2*sqrt(931))**2).
-8381 + sqrt(19)
Simplify sqrt(1872)*-2*6 + sqrt(1872).
-132*sqrt(13)
Simplify ((-1*(sqrt(2057) + 1))**2 - sqrt(2057)) + -4.
11*sqrt(17) + 2054
Simplify (-3*sqrt(45))**2 + 0.
405
Simplify sqrt(63)*-2 - sqrt(14)/sqrt(32).
-25*sqrt(7)/4
Simplify ((2 + sqrt(275) - sqrt(275)) + -3 + 4*(3 + sqrt(275)))**2.
440*sqrt(11) + 4521
Simplify (sqrt(2299) - (-1*sqrt(2299) + 3))**2*5.
-660*sqrt(19) + 46025
Simplify (sqrt(2) - (sqrt(98) - (sqrt(98) - (0 + sqrt(98))**2))) + 6*(sqrt(8))**2.
-50 + sqrt(2)
Simplify (0 + (sqrt(19) - sqrt(304)) + sqrt(209)/(sqrt(33)/sqrt(3)))**2.
76
Simplify (-6*sqrt(70)*-1)/sqrt(10).
6*sqrt(7)
Simplify sqrt(117)/(2*sqrt(9)) - ((sqrt(52)/sqrt(4))**2 + 0).
-13 + sqrt(13)/2
Simplify (sqrt(19)*1)**2 + -2 + (sqrt(684) + 0 - sqrt(684))**2.
17
Simplify (sqrt(242)*-6)**2 + -2.
8710
Simplify 3 + sqrt(44)/sqrt(4) + 2 + -4.
1 + sqrt(11)
Simplify (sqrt(170)*2 - sqrt(170))/sqrt(10) + sqrt(17) + 4 + 3*sqrt(17) + sqrt(17).
4 + 6*sqrt(17)
Simplify sqrt(99) + -1 + -5.
-6 + 3*sqrt(11)
Simplify ((sqrt(85) + 3*-1*sqrt(85))/(sqrt(45)/sqrt(36)))**2.
272
Simplify -5*((2*(0 + sqrt(13) + sqrt(13) + sqrt(13)))**2 + sqrt(13)) + ((sqrt(156)/sqrt(4))/sqrt(3))**2 + 0.
-2327 - 5*sqrt(13)
Simplify ((0 + sqrt(3))*-2*-6*-4)**2.
6912
Simplify (6*(-2 + sqrt(500)))**2.
-1440*sqrt(5) + 18144
Simplify 1 + (sqrt(192) - -1*sqrt(192)) + (-1 + sqrt(147) - sqrt(147)).
16*sqrt(3)
Simplify 5 + sqrt(252)/sqrt(4) + sqrt(196)/sqrt(7).
5 + 5*sqrt(7)
Simplify (4 + 4*(sqrt(1331) - (sqrt(1331) + -2)))**2.
144
Simplify 2 + (sqrt(36)/sqrt(3) - 3*sqrt(48)) + 1.
-10*sqrt(3) + 3
Simplify -3 + (-2*sqrt(432) + 0 - sqrt(432)) + -4.
-36*sqrt(3) - 7
Simplify sqrt(77)/(sqrt(49)/sqrt(252)) + -2.
-2 + 6*sqrt(11)
Simplify ((sqrt(242)*1 + -3)*-4)**2.
-1056*sqrt(2) + 4016
Simplify (3*sqrt(12)/sqrt(4) - sqrt(108)*3)*2.
-30*sqrt(3)
Simplify -4 + sqrt(136)/(-3*sqrt(8)*-1).
-4 + sqrt(17)/3
Simplify (4*sqrt(56)/sqrt | {
"pile_set_name": "DM Mathematics"
} |
is prob of sequence aaag when four letters picked without replacement from vvamjvgvvvvavagag?
3/2380
Three letters picked without replacement from dooowdjwcduwjc. Give prob of sequence uoj.
1/364
What is prob of sequence yj when two letters picked without replacement from {c: 1, p: 1, t: 2, y: 3, j: 3, i: 3}?
3/52
What is prob of sequence yo when two letters picked without replacement from {r: 3, o: 3, v: 5, y: 2}?
1/26
What is prob of sequence dudd when four letters picked without replacement from {u: 9, w: 1, d: 4}?
9/1001
Three letters picked without replacement from {n: 3, e: 2, r: 1, b: 1, v: 3, w: 2}. Give prob of sequence nnw.
1/110
Calculate prob of sequence pjjj when four letters picked without replacement from {p: 1, j: 7}.
1/8
Four letters picked without replacement from {c: 5, r: 7, l: 1, u: 2, a: 4, y: 1}. Give prob of sequence acyu.
1/2907
What is prob of sequence fca when three letters picked without replacement from {f: 6, c: 3, u: 1, q: 4, a: 1}?
3/455
What is prob of sequence ep when two letters picked without replacement from {e: 11, j: 4, p: 4}?
22/171
Four letters picked without replacement from nadjdjdndjdnd. What is prob of sequence dnjj?
9/1430
What is prob of sequence jc when two letters picked without replacement from {c: 3, j: 9}?
9/44
Calculate prob of sequence pp when two letters picked without replacement from {c: 1, p: 3, x: 3, h: 3}.
1/15
Three letters picked without replacement from {e: 6, q: 4, l: 2}. What is prob of sequence eee?
1/11
What is prob of sequence oyxe when four letters picked without replacement from oyyeexxxtee?
1/330
What is prob of sequence uruu when four letters picked without replacement from rwrrwurrubuhhrrppp?
7/12240
Two letters picked without replacement from {u: 6, y: 1, a: 9, f: 1}. What is prob of sequence uy?
3/136
Four letters picked without replacement from oboooubbouubububbou. Give prob of sequence ubou.
35/2584
What is prob of sequence eq when two letters picked without replacement from bexqxbqbfq?
1/30
Calculate prob of sequence wvpv when four letters picked without replacement from pvvwbp.
1/90
Four letters picked without replacement from {v: 2, q: 2, h: 2, t: 5, n: 2, e: 3}. Give prob of sequence vqvn.
1/5460
Calculate prob of sequence xz when two letters picked without replacement from {s: 1, y: 1, x: 1, v: 1, m: 2, z: 1}.
1/42
What is prob of sequence yr when two letters picked without replacement from {y: 1, q: 1, m: 1, h: 1, r: 1, g: 2}?
1/42
Calculate prob of sequence gkg when three letters picked without replacement from {g: 2, k: 1}.
1/3
Two letters picked without replacement from tttfffftfttfttftttu. What is prob of sequence uf?
7/342
Two letters picked without replacement from {g: 1, x: 10, p: 2, s: 2, w: 5}. Give prob of sequence sp.
1/95
What is prob of sequence atna when four letters picked without replacement from atnnataaaatnaana?
9/455
What is prob of sequence jb when two letters picked without replacement from birnj?
1/20
Three letters picked without replacement from {b: 4, u: 4, d: 6, h: 3}. What is prob of sequence udh?
3/170
Calculate prob of sequence vrpr when four letters picked without replacement from {p: 2, r: 5, v: 8}.
8/819
Calculate prob of sequence gzz when three letters picked without replacement from hzxqzxxxhgxx.
1/660
Two letters picked without replacement from hhvvhhhv. What is prob of sequence hv?
15/56
Three letters picked without replacement from {l: 1, i: 6, e: 2, c: 1, x: 2}. Give prob of sequence ixe.
1/55
What is prob of sequence re when two letters picked without replacement from {r: 4, e: 2}?
4/15
Calculate prob of sequence rf when two letters picked without replacement from {t: 1, p: 3, c: 1, o: 3, r: 2, f: 2}.
1/33
What is prob of sequence gd when two letters picked without replacement from ddgddgdddodo?
4/33
Two letters picked without replacement from {x: 3, d: 2, g: 1, p: 3, i: 4, b: 3}. Give prob of sequence ii.
1/20
What is prob of sequence pd when two letters picked without replacement from fffffdbddffffdidfdip?
3/190
Calculate prob of sequence rrg when three letters picked without replacement from ggrkgrkgrrgg.
3/55
What is prob of sequence jhj when three letters picked without replacement from zjhzjhyjjjzh?
1/22
What is prob of sequence jj when two letters picked without replacement from mcmj?
0
Calculate prob of sequence cc when two letters picked without replacement from {p: 1, l: 10, c: 1, n: 7}.
0
Three letters picked without replacement from {o: 6, a: 5, k: 1, h: 3, e: 1, w: 3}. What is prob of sequence ahw?
5/646
Two letters picked without replacement from ooppoopipzp. What is prob of sequence ip?
1/22
Three letters picked without replacement from {b: 4, r: 1, z: 4, d: 1}. Give prob of sequence rbb.
1/60
Three letters picked without replacement from {q: 3, r: 1, g: 4, w: 2}. What is prob of sequence wrw?
1/360
Two letters picked without replacement from vmjvklv. What is prob of sequence lv?
1/14
Calculate prob of sequence wyw when three letters picked without replacement from xwzzxxzwzyy.
2/495
Calculate prob of sequence pqj when three letters picked without replacement from pjlrbqlpjpjlljp.
8/1365
Three letters picked without replacement from {v: 5, k: 12, t: 2}. What is prob of sequence kkt?
44/969
Two letters picked without replacement from {h: 2, w: 2, c: 10}. Give prob of sequence wh.
2/91
What is prob of sequence mjjx when four letters picked without replacement from {w: 4, m: 3, r: 1, j: 8, x: 1}?
1/340
Two letters picked without replacement from {a: 11, p: 2}. What is prob of sequence aa?
55/78
Calculate prob of sequence fc when two letters picked without replacement from {y: 1, e: 2, c: 2, f: 1}.
1/15
Three letters picked without replacement from audvvvqpqvdp. Give prob of sequence uav.
1/330
What is prob of sequence xc when two letters picked without replacement from rrccxrcc?
1/14
What is prob of sequence an when two letters picked without replacement from annanna?
2/7
Four letters picked without replacement from hohfhfhooohho. Give prob of sequence fhof.
1/286
What is prob of sequence oy when two letters picked without replacement from ayypvot?
1/21
Two letters picked without replacement from {p: 1, o: 4, e: 2, x: 2, i: 2, h: 1}. What is prob of sequence xe?
1/33
Calculate prob of sequence xood when four letters picked without replacement from {r: 3, q: 1, o: 3, j: 2, d: 6, x: 5}.
1/646
Two letters picked without replacement from bxbbbxxbxxbbx. What is prob of sequence bx?
7/26
Calculate prob of sequence yyyy when four letters picked without replacement from {h: 2, b: 2, y: 4}.
1/70
Two letters picked without replacement from nruqrwtu. Give prob of sequence rt.
1/28
What is prob of sequence vtlz when four letters picked without replacement from {d: 1, z: 2, t: 2, l: 4, v: 1}?
1/315
Four letters picked without replacement from {y: 3, j: 1, v: 4, p: 4, r: 2, i: 3}. Give prob of sequence jppv.
1/1190
What is prob of sequence ak when two letters picked without replacement from aassoasaok?
2/45
What is prob of sequence dvsa when four letters picked without replacement from {h: 1, s: 4, o: 2, v: 6, a: 1, d: 1}?
1/1365
Four letters picked without replacement from {y: 1, r: 5, c: 2, v: 3, x: 8}. What is prob of sequence xvrv?
5/1938
Two letters picked without replacement from jjvvjjjjjvvjpvv. What is prob of sequence vv?
1/7
Two letters picked without replacement from {b: 1, a: 3, r: 6, u: 4, y: 1}. Give prob of sequence ur.
4/35
Two letters picked without replacement from {c: 5}. What is prob of sequence cc?
1
Three letters picked without replacement from sssssssss. What is prob of sequence sss?
1
What is prob of sequence unvq when four letters picked without replacement from {q: 5, u: 3, n: 1, g: 5, v: 4}?
1/1224
Two letters picked without replacement from {g: 2, x: 2}. What is prob of sequence gx?
1/3
Two letters picked without replacement from ddoodd. What is prob of sequence od?
4/15
Three letters picked without replacement from {u: 5, r: 1, a: 1, s: 3, p: 2}. What is prob of sequence spr?
1/220
Four letters picked without replacement from {p: 1, z: 12, r: 3}. What is prob of sequence zrrr?
3/1820
Four letters picked without replacement from {b: 4, p: 3, m: 7}. Give prob of sequence ppmm.
3/286
Three lette | {
"pile_set_name": "DM Mathematics"
} |
ve of j**7/420 + j**6/16 + 13*j**5/120 - 5*j**4/16 - 7*j**3/6 + 388*j**2 - j. Let f(s) = 0. Calculate s.
-14, -1, 1
Let s(c) be the third derivative of c**5/12 + 415*c**4/6 + 68890*c**3/3 + 292*c**2. Factor s(l).
5*(l + 166)**2
Suppose 2*m + 8 = 0, 96*v - 100*v = -m - 24. Let w be -4*(-68)/32 - v. Factor 25/2*d + 6*d**2 - w*d**3 + 3.
-(d - 3)*(d + 1)*(7*d + 2)/2
Let o(r) = -2*r**2. Let s(c) = c**3 - c - 1. Let d = 8 + -7. Let q(j) = d*o(j) - 2*s(j). Solve q(f) = 0.
-1, 1
Let k = -144127 + 144129. Factor 1/11*u**k + 7/11 - 8/11*u.
(u - 7)*(u - 1)/11
Let p(o) = -o**3 - o**2 + o + 3. Let v be p(0). Let j be 3 + -1 - 0/(-1). Determine m so that 20*m - 48*m**2 + 12 - 52*m**j + 15 - v = 0.
-2/5, 3/5
Let w(s) be the first derivative of -104 + 2/5*s**5 - 2*s**3 - 24*s - 3*s**4 + 20*s**2. Factor w(a).
2*(a - 6)*(a - 1)**2*(a + 2)
Let g(t) be the first derivative of 4*t**3/27 + 470*t**2/9 - 632*t/3 - 1445. Factor g(s).
4*(s - 2)*(s + 237)/9
Let p(s) be the first derivative of s**4/6 - 80*s**3/9 + 11*s**2 + 156*s + 977. Factor p(n).
2*(n - 39)*(n - 3)*(n + 2)/3
Let z(w) = 3*w**5 - 801*w**4 + 43905*w**3 + 136089*w**2 + 137607*w + 46128. Let s(g) = -2*g**4 - 2*g**2 - g. Let v(c) = -33*s(c) + z(c). Factor v(p).
3*(p - 124)**2*(p + 1)**3
Let t(h) be the second derivative of h**7/7 - 2*h**6/3 - h**5/5 + 8*h**4/3 - h**3/3 - 6*h**2 - 148*h + 3. Suppose t(u) = 0. What is u?
-1, -2/3, 1, 3
Suppose -17*t - 93 + 263 = 0. Factor -422*b**2 - 137*b**3 + 4*b**3 + t - 175*b + 42*b**2 - 62*b**3.
-5*(b + 1)**2*(39*b - 2)
Let y be (-3950)/7900 + (-1)/(-8)*46. Find b, given that 0 - 3/4*b**3 + 6*b**2 - y*b = 0.
0, 1, 7
Let s(p) = 4*p**5 + 10*p**4 + 16*p**3 + 2*p**2. Let a(t) = 5*t**5 + 9*t**4 + 16*t**3 + 3*t**2. Let r(u) = -2*a(u) + 3*s(u). Factor r(o).
2*o**3*(o + 2)*(o + 4)
Factor -516 + 96*a - 8*a**2 + 303 - 522 + 30*a + 5*a**2.
-3*(a - 35)*(a - 7)
Let f = 47 - 44. Suppose f*x + l - 5 = 0, -4*x + x - 2*l = -1. Factor -2*c**x - 7*c**5 - 10*c**2 + 11*c**5 + 2*c**2 - 10*c**3.
4*c**2*(c - 2)*(c + 1)**2
Determine w so that 2900*w**2 + w**3 - 527076 - 428770*w - 95402*w - 5*w**3 = 0.
-1, 363
Let m be 6/24 + (-19)/(-4). What is n in -4*n**m - 58*n**4 + 28*n**4 + 28*n**3 + 30*n**4 + 24*n**2 = 0?
-2, -1, 0, 3
Let x(b) = b**2 - 33*b + 72. Let t be x(24). Let h be (2/4 - 120/t) + -1. Let 2/3*d**2 - 2/3*d**4 + 0*d**3 + 1/3*d**5 + 0 - h*d = 0. What is d?
-1, 0, 1
Let y(p) be the second derivative of 0*p**2 + 1/2*p**3 + 263*p - 1/40*p**6 - 3/80*p**5 + 1/4*p**4 + 0. Factor y(d).
-3*d*(d - 2)*(d + 1)*(d + 2)/4
Let c(x) be the first derivative of -x**3/24 + 35*x**2/8 - 33*x + 589. Factor c(i).
-(i - 66)*(i - 4)/8
Let f(n) be the second derivative of -n**4/36 + 283*n**3/18 + 95*n**2 - 2294*n. Factor f(a).
-(a - 285)*(a + 2)/3
Let y = 19/1003 + 23977/5015. Find s, given that -28/5*s**3 - 68/5*s + 68/5*s**2 + y + 4/5*s**4 = 0.
1, 2, 3
Let j = 16240 + -16237. Let y be (-416)/(-117)*(-3)/(-4). Factor -8/3*r + 0 + y*r**2 - 2/3*r**j.
-2*r*(r - 2)**2/3
Let l(q) be the first derivative of -q**4 + 32*q**3 + 3536. Let l(b) = 0. What is b?
0, 24
Let b(s) be the second derivative of 2*s**7/63 + 52*s**6/45 + 43*s**5/5 + 176*s**4/9 - 184*s**3/9 - 160*s**2 + 42*s + 9. Solve b(w) = 0 for w.
-20, -3, -2, 1
Let s = -167 - -177. Find z, given that 5*z - s - 4*z**2 + 11*z - 2 + 0*z**2 = 0.
1, 3
Let u(s) be the second derivative of -22*s**3 + 0 + 49*s - 1/5*s**5 - 72*s**2 - 10/3*s**4. Factor u(g).
-4*(g + 3)**2*(g + 4)
Solve 3*g**5 - 5*g**4 - 6*g**4 + 1345*g**3 - 61*g**4 - 970*g**3 - 306*g**2 = 0 for g.
0, 1, 6, 17
Let c(b) be the second derivative of -2/3*b**2 + 0 - 5/27*b**3 - 1/54*b**4 - 17*b. Find n, given that c(n) = 0.
-3, -2
Let m be 8 - -1*(-12)/4. Suppose -m*o = -41 - 74. Factor 11*t**2 + t**4 - 8*t + t**4 - o*t**2 + 24*t**2 - 8*t**3 + 2.
2*(t - 1)**4
Factor -305/3*p + 68 + 67/2*p**2 + 1/6*p**3.
(p - 2)*(p - 1)*(p + 204)/6
Let g(z) be the second derivative of 0*z**2 - 1/30*z**4 - 13/15*z**3 + 0 + 178*z. Find r, given that g(r) = 0.
-13, 0
Let h(v) be the second derivative of -v**4/4 + 17*v**3/2 + 57*v**2 - 7*v + 19. Factor h(x).
-3*(x - 19)*(x + 2)
Let u(w) be the first derivative of 1/80*w**6 + 1/40*w**5 + 14 - 5*w**2 - 1/8*w**4 + 0*w + 0*w**3. Let g(a) be the second derivative of u(a). Factor g(x).
3*x*(x - 1)*(x + 2)/2
Let x = -2414 + 2414. Let n(p) be the second derivative of 1/13*p**2 + x - 1/78*p**4 + 0*p**3 + 4*p. Suppose n(t) = 0. Calculate t.
-1, 1
Let d(m) be the first derivative of -9/28*m**4 - 41/7*m**3 + 21*m - 205 - 57/2*m**2. Factor d(x).
-3*(x + 7)**2*(3*x - 1)/7
Let k(o) be the first derivative of 122 + 48/7*o**2 - 14*o + 2/21*o**3. Factor k(f).
2*(f - 1)*(f + 49)/7
Suppose 0 = 13*c - 15*c + 6. Suppose 0*v = -c*v + 27. Solve 3*n - 2*n + 25*n**2 + v*n - 15 + 0 = 0 for n.
-1, 3/5
Let k(b) be the second derivative of -b**5/10 + 9*b**4/2 - 50*b**3/3 + 4084*b. Factor k(t).
-2*t*(t - 25)*(t - 2)
Let l(i) = 2*i**2 - 40*i + 150. Let o be l(5). Let d(n) be the first derivative of o*n**2 - 3/20*n**4 - 3/10*n**3 - 1/50*n**5 + 0*n - 4. Solve d(f) = 0 for f.
-3, 0
Suppose 6*s + 936 - 3042 = 0. Let b be (-56)/(-26) - 9*6/s. Factor 0 + 0*m**b + 0*m - 2/7*m**3.
-2*m**3/7
Let g = -3587 - -3591. Let u(q) be the second derivative of 1/20*q**5 + 16*q**2 + 0 + 5/6*q**g + 9*q + 16/3*q**3. Factor u(c).
(c + 2)*(c + 4)**2
Suppose 1164*p = 1180*p - 96. Suppose -3*c - q + 14 = 0, -2 = 3*c - q - p. Suppose 2/7*m**c + 0*m + 0*m**2 + 2/7*m**4 + 0 = 0. What is m?
-1, 0
Let w(d) be the third derivative of 0*d**5 + 0 + 0*d**3 + 0*d + 1/30*d**4 - 1/150*d**6 + 74*d**2. Factor w(k).
-4*k*(k - 1)*(k + 1)/5
Let c(l) be the first derivative of 0*l**2 - 2/55*l**5 - 26 + 0*l**4 - 2/11*l + 4/33*l**3. Factor c(m).
-2*(m - 1)**2*(m + 1)**2/11
Solve -704*s - 592900 + 17*s**2 - 11*s**2 - 726*s - 110*s - 7*s**2 = 0.
-770
Let y = -141 - -120. Let m be (-14)/y - 28/(-21). What is i in -15/8*i + 3/8*i**m + 3/2 = 0?
1, 4
Suppose 3*r = 19*l - 22*l + 540, l - 4*r - 195 = 0. Solve -183*i**3 + 484 - 84*i**2 + l*i + 213*i + 187*i**3 = 0 for i.
-1, 11
Let f(y) = 22*y**3 - 4*y**2 + 10*y + 20. Let c(k) = 2*k**3 - k**2 + k + 2. Let w(o) = -20*c(o) + 2*f(o). Determine i so that w(i) = 0.
-3, 0
Let j = 11 - 9. Factor 0*w**4 - 3*w**4 + 65*w**j - 12*w - 37*w**2 - 13*w**3.
-w*(w - 1)*(w + 6)*(3*w - 2)
Let c be (-12)/(-9)*33/11. Find u, given that -3*u**c - 39*u**3 - 72*u + 15*u**3 - 78*u**2 - 3*u**3 = 0.
-4, -3, -2, 0
Let j(p) be the first derivative of 4*p**2 - p**4 + 0*p - 53 + 4/3*p**3. Suppose j(i) = 0. Calculate i.
-1, 0, 2
Let u be 22 + (0 - 572/26). Let r(s) be the third derivative of -1/3*s**5 + 4/3*s**3 + 0 + u*s + 1/2*s**4 - 2*s**2. Factor r(a).
-4*(a - 1)*(5*a + 2)
Let n be (-10 - -13)/((-1)/(-13)). Suppose 3*o - 3*w = -3 + n, 4*w = -16. Factor 24*s + 46*s - o*s**3 + 32 - 10*s**4 + 28*s**2 + 4*s**2 - 6*s - 2*s**5.
-2*(s - 2)*(s + 1)*(s + 2)**3
Let r(l) be the first derivative of -l**6/39 + 6*l**5/13 + 41*l**4/26 - 682*l**3/13 + 968*l**2/13 - 975. Solve r(j) = 0.
-8, 0, 1, 11
Let v = -24456 - -24485. Let c(b) be the third derivative of -2/105*b**5 + 4/21*b**3 - 1/420*b**6 + 1/84*b**4 + 0 + 0*b - v*b**2. Factor c(r).
-2*(r - 1)*(r + 1)*(r + 4)/7
Let c(w) be the first derivative of 0*w - 1029/10*w**2 + 16 + 48*w**5 + 931/5*w**3 - 32/5*w**6 - 693/5*w**4. Factor c(j).
-3*j*(j - 1)*(4*j - 7)**3/5
Let h(q) be the third derivative of q**6/30 + 1204*q**5/5 + 724808*q**4 + 3490675328*q**3/3 + 295*q**2 + 3. Solve h(f) = 0.
-1204
Let x = -1047938/165 + 69864/11. Find b, given that -2/15*b - x*b**2 + 0 = 0.
-1, 0
Let o(z) be the first derivative of z**4/4 - 395*z**3/3 - 198*z**2 + 2971. Factor o(q).
q*(q - 396)*(q + 1)
Let n(o) = 6*o**3 - 24*o**2 + 30*o. Let f(h) = -7*h**3 + 25*h**2 - 30*h. Let j = 293 + -290. Let a(l) = j*f(l) + 4*n(l). Factor a(z).
3*z*(z - 5)*(z - 2)
Let z(b) be the first derivative of b**5/5 + b**4/12 - 2*b**3/3 - b**2/2 - 45*b + 193. Let g(q) be the first derivative of z(q). Factor g(p).
(p - 1)*(p + 1)*(4*p + 1)
Let w(s) be the third derivative of 243/8*s**3 - 35*s + 2*s**2 - 9/16*s**4 + 0 + 1/240*s**5. Factor w(z).
(z - 27)**2/4
Let f(n) = 5*n**2 - 57*n - 58. Let s(i) = 5*i**2 - 54*i - 56. Let y(k) = 3*f(k) - 4*s(k). Suppose y(t) = 0. Calculate t.
-1, 10
Suppose -12*w + 10 + 26 = 0. Determine c so that 2*c**2 + 242*c**w | {
"pile_set_name": "DM Mathematics"
} |
t is 376 minutes after 10:31 PM?
4:47 AM
How many minutes are there between 6:36 PM and 12:07 AM?
331
What is 644 minutes before 5:28 AM?
6:44 PM
What is 252 minutes before 10:37 AM?
6:25 AM
How many minutes are there between 6:48 PM and 4:05 AM?
557
What is 36 minutes after 4:38 PM?
5:14 PM
How many minutes are there between 7:21 PM and 7:35 PM?
14
What is 77 minutes before 6:16 AM?
4:59 AM
How many minutes are there between 4:32 AM and 6:39 AM?
127
How many minutes are there between 4:36 PM and 11:18 PM?
402
How many minutes are there between 6:20 PM and 5:38 AM?
678
How many minutes are there between 12:34 PM and 12:14 AM?
700
How many minutes are there between 12:54 PM and 3:16 PM?
142
What is 304 minutes before 1:55 PM?
8:51 AM
What is 424 minutes before 3:52 AM?
8:48 PM
How many minutes are there between 5:39 PM and 3:03 AM?
564
How many minutes are there between 8:44 AM and 12:44 PM?
240
How many minutes are there between 8:15 AM and 8:57 AM?
42
How many minutes are there between 9:18 PM and 6:34 AM?
556
What is 481 minutes after 6:39 PM?
2:40 AM
How many minutes are there between 1:34 PM and 12:51 AM?
677
What is 676 minutes before 12:41 AM?
1:25 PM
How many minutes are there between 10:21 AM and 6:13 PM?
472
How many minutes are there between 2:42 AM and 2:27 PM?
705
How many minutes are there between 11:17 PM and 12:13 AM?
56
How many minutes are there between 7:00 PM and 12:09 AM?
309
What is 470 minutes after 2:50 AM?
10:40 AM
How many minutes are there between 10:40 AM and 3:29 PM?
289
How many minutes are there between 4:34 AM and 9:08 AM?
274
How many minutes are there between 2:44 PM and 12:54 AM?
610
What is 323 minutes before 8:24 PM?
3:01 PM
How many minutes are there between 9:19 PM and 1:16 AM?
237
What is 327 minutes after 5:31 PM?
10:58 PM
How many minutes are there between 4:55 AM and 1:03 PM?
488
What is 709 minutes after 7:27 AM?
7:16 PM
How many minutes are there between 4:40 AM and 1:08 PM?
508
What is 385 minutes after 2:57 PM?
9:22 PM
What is 77 minutes after 11:08 AM?
12:25 PM
How many minutes are there between 10:51 AM and 12:48 PM?
117
What is 591 minutes before 12:31 PM?
2:40 AM
How many minutes are there between 8:53 AM and 5:01 PM?
488
How many minutes are there between 11:13 PM and 4:28 AM?
315
How many minutes are there between 2:05 PM and 1:33 AM?
688
What is 655 minutes after 10:50 AM?
9:45 PM
What is 142 minutes after 3:09 PM?
5:31 PM
How many minutes are there between 1:12 AM and 5:55 AM?
283
What is 507 minutes after 7:10 PM?
3:37 AM
What is 528 minutes after 11:41 PM?
8:29 AM
What is 502 minutes before 10:44 AM?
2:22 AM
How many minutes are there between 3:05 PM and 10:51 PM?
466
How many minutes are there between 11:12 AM and 3:21 PM?
249
What is 564 minutes before 10:19 AM?
12:55 AM
What is 599 minutes before 8:51 PM?
10:52 AM
How many minutes are there between 3:33 PM and 12:40 AM?
547
What is 20 minutes before 8:02 PM?
7:42 PM
How many minutes are there between 6:23 PM and 11:27 PM?
304
How many minutes are there between 1:06 AM and 11:53 AM?
647
How many minutes are there between 5:26 AM and 6:43 AM?
77
How many minutes are there between 12:21 AM and 8:34 AM?
493
How many minutes are there between 12:46 AM and 8:33 AM?
467
How many minutes are there between 6:34 PM and 5:49 AM?
675
How many minutes are there between 4:48 PM and 5:47 PM?
59
How many minutes are there between 6:18 PM and 10:21 PM?
243
How many minutes are there between 6:12 PM and 5:07 AM?
655
How many minutes are there between 6:15 AM and 6:57 AM?
42
What is 321 minutes before 5:45 PM?
12:24 PM
What is 618 minutes after 5:06 PM?
3:24 AM
How many minutes are there between 3:10 PM and 6:00 PM?
170
How many minutes are there between 12:49 AM and 6:34 AM?
345
How many minutes are there between 8:09 PM and 7:30 AM?
681
What is 585 minutes after 2:54 AM?
12:39 PM
How many minutes are there between 10:45 AM and 9:12 PM?
627
What is 423 minutes before 2:06 AM?
7:03 PM
What is 388 minutes before 11:44 AM?
5:16 AM
What is 63 minutes after 5:36 AM?
6:39 AM
What is 341 minutes after 1:19 PM?
7:00 PM
What is 10 minutes before 10:02 AM?
9:52 AM
How many minutes are there between 1:25 AM and 4:48 AM?
203
How many minutes are there between 11:50 PM and 12:50 AM?
60
What is 10 minutes after 6:28 AM?
6:38 AM
What is 107 minutes after 4:19 AM?
6:06 AM
How many minutes are there between 9:21 AM and 2:36 PM?
315
What is 428 minutes after 5:32 PM?
12:40 AM
How many minutes are there between 4:03 PM and 4:57 PM?
54
How many minutes are there between 3:38 AM and 9:50 AM?
372
How many minutes are there between 2:53 AM and 11:15 AM?
502
What is 103 minutes after 5:18 AM?
7:01 AM
How many minutes are there between 7:11 AM and 7:53 AM?
42
What is 662 minutes after 9:41 AM?
8:43 PM
What is 402 minutes before 12:52 PM?
6:10 AM
How many minutes are there between 2:57 AM and 3:59 AM?
62
How many minutes are there between 5:00 PM and 4:37 AM?
697
What is 207 minutes after 4:23 PM?
7:50 PM
How many minutes are there between 10:51 AM and 7:07 PM?
496
What is 250 minutes after 3:18 PM?
7:28 PM
What is 283 minutes after 11:57 PM?
4:40 AM
How many minutes are there between 10:51 PM and 3:02 AM?
251
What is 295 minutes after 7:02 AM?
11:57 AM
What is 185 minutes after 3:26 AM?
6:31 AM
What is 235 minutes before 3:16 PM?
11:21 AM
What is 617 minutes after 11:29 AM?
9:46 PM
How many minutes are there between 9:42 PM and 7:47 AM?
605
How many minutes are there between 6:32 PM and 9:17 PM?
165
What is 625 minutes after 12:19 PM?
10:44 PM
What is 148 minutes before 2:34 PM?
12:06 PM
How many minutes are there between 5:08 PM and 9:03 PM?
235
How many minutes are there between 11:10 AM and 4:35 PM?
325
What is 181 minutes after 5:59 AM?
9:00 AM
How many minutes are there between 1:41 PM and 7:47 PM?
366
How many minutes are there between 9:42 PM and 4:30 AM?
408
How many minutes are there between 4:50 AM and 9:39 AM?
289
What is 609 minutes before 5:11 PM?
7:02 AM
What is 253 minutes before 2:39 PM?
10:26 AM
What is 310 minutes before 6:11 AM?
1:01 AM
What is 40 minutes after 3:46 AM?
4:26 AM
What is 589 minutes after 6:57 PM?
4:46 AM
What is 628 minutes before 5:12 PM?
6:44 AM
What is 103 minutes after 4:34 AM?
6:17 AM
How many minutes are there between 11:35 AM and 11:02 PM?
687
How many minutes are there between 5:32 AM and 3:15 PM?
583
How many minutes are there between 7:50 PM and 8:02 PM?
12
How many minutes are there between 8:58 AM and 8:17 PM?
679
What is 445 minutes before 8:51 AM?
1:26 AM
What is 191 minutes before 11:59 PM?
8:48 PM
What is 416 minutes after 6:13 AM?
1:09 PM
What is 573 minutes before 3:36 AM?
6:03 PM
How many minutes are there between 2:27 AM and 7:47 AM?
320
What is 535 minutes after 1:52 AM?
10:47 AM
How many minutes are there between 7:29 AM and 10:24 AM?
175
What is 676 minutes after 11:46 PM?
11:02 AM
What is 492 minutes after 11:51 PM?
8:03 AM
What is 589 minutes after 12:37 AM?
10:26 AM
How many minutes are there between 3:14 PM and 12:04 AM?
530
What is 572 minutes before 11:44 AM?
2:12 AM
What is 240 minutes before 3:57 PM?
11:57 AM
What is 304 minutes before 11:26 PM?
6:22 PM
How many minutes are there between 11:31 PM and 1:09 AM?
98
How many minutes are there between 2:54 PM and 4:25 PM?
91
How many minutes are there between 5:32 AM and 7:42 AM?
130
What is 631 minutes after 7:03 PM?
5:34 AM
What is 611 minutes before 8:54 PM?
10:43 AM
What is 171 minutes after 7:31 PM?
10:22 PM
How many minutes are there between 2:15 PM and 4:39 PM?
144
How many minutes are there between 4:18 AM and 9:41 AM?
323
How many minutes are there between 4:26 PM and 1:00 AM?
514
What is 697 minutes after 6:54 AM?
6:31 PM
How many minutes are there between 12:18 PM and 10:42 PM?
624
What is 52 minutes after 7:35 AM?
8:27 AM
How many minutes are there between 11:06 AM and 1:30 PM?
144
What is 51 minutes before 5:32 AM?
4:41 AM
What is 564 minutes after 11:24 PM?
8:48 AM
What is 137 minutes before 2:58 AM?
12:41 AM
How many minutes are there between 4:56 PM and 5:38 PM?
42
How many minutes are there between 7:38 AM and 1:52 PM?
374
What is 277 minutes before 4:25 AM?
11:48 PM
What is 102 minutes before 9:01 AM?
7:19 AM
What is 89 minutes after 1:21 AM?
2: | {
"pile_set_name": "DM Mathematics"
} |
-247 - o. Let s be (c/(-10))/(10/(-50)). What is the highest common factor of 12 and s?
12
Suppose -p = 2*t - 2148, 110*t - 111*t + 1081 = 4*p. What is the greatest common factor of t and 481?
37
Let w(s) = -13 - 12 + 8 - 18 - s**2 - 18*s. Let b be w(-14). Suppose 3*u - b = 12. What is the highest common divisor of u and 121?
11
Suppose -2*p = -8, p + 18 + 38 = -2*n. Let g be 286/(-33)*n/4. What is the greatest common divisor of g and 13?
13
Suppose 20 = -5*i - 4*v, 11*i - v - 5 = 12*i. Let q be -2*1 - (-56 - (i - -3)). Calculate the highest common factor of q and 3.
3
Suppose 4*h = -3*r + 5698, 12*r - 10*r - 12 = 0. Calculate the highest common factor of h and 260.
20
Suppose -3*b + 29 + 4 = 0. Suppose 0 = 7*n - b*n + 84. Suppose -27*z + 28*z - n = 0. Calculate the highest common divisor of 7 and z.
7
Suppose -3*m + 9 - 12 = 0, 5 = 4*n - 5*m. Suppose n = -5*t - 0*d + 2*d + 943, 915 = 5*t + 5*d. Calculate the greatest common divisor of 11 and t.
11
Let r = 2731 - 2690. Calculate the greatest common factor of 369 and r.
41
Suppose -m + 162 = d + 2*d, -270 = -5*d + 2*m. Suppose 4*x = -70 - d. Let n be 2 + 0 - (x + 1/1). What is the greatest common divisor of 2 and n?
2
Suppose 3*y = 4*a + 12330, -2*y + 51*a - 56*a = -8220. Calculate the highest common factor of y and 45.
15
Suppose -8*a = u - 7427, a + 8*u = 3*u + 943. Calculate the highest common divisor of a and 87.
29
Suppose 6*d - 8 = 4. Let x be d/(-11) - (-32)/176. Suppose -17*b + 6*b + 1848 = x. Calculate the greatest common divisor of 24 and b.
24
Let r = -3194 + 3229. Let n be 5007/13 + (-18)/117. What is the greatest common divisor of n and r?
35
Let f(d) = -713*d + 15. Let m be f(1). Let h = -673 - m. What is the greatest common divisor of 85 and h?
5
Suppose -5*o + 37 + 13 = 3*h, -5*h + 20 = 2*o. Suppose 0*i + 3*i = c - 20, -2*i = o. Suppose 73 - 3 = c*p. Calculate the highest common divisor of p and 14.
14
Let u(w) = -199*w + 1407. Let p be u(7). What is the greatest common divisor of p and 602?
14
Let t = 4 + 18. Let j be (1001/(-35) - -11)*20*(-3 - -2). What is the highest common divisor of j and t?
22
Let s(y) = 3*y + 14. Let z be s(1). Suppose q + 2*q = -4*o + 475, o = 3*q - 455. Calculate the greatest common divisor of z and q.
17
Suppose t - k - 12 = 0, -2*k = -k - 2. Let w(i) = -4*i**2 + 61*i + 5. Let d be w(t). Calculate the greatest common divisor of 3 and d.
3
Let w(v) = 32*v**2 + 63*v + 761. Let z be w(-13). What is the highest common factor of z and 5?
5
Suppose 8*w - 51*w + 96019 = 0. What is the highest common factor of 58 and w?
29
Let o(a) = -61*a - 3942. Let c be o(-66). What is the greatest common divisor of 2835 and c?
21
Let m be (38/4)/((-5)/(-10)). Let p(h) = -9*h - 38. Suppose -7*u - 142 = -9. Let t be p(u). What is the greatest common factor of m and t?
19
Let x be ((-6)/20*5)/(-1 + (-175)/(-190)). What is the highest common factor of 1159 and x?
19
Suppose n = -0*n - 25. Suppose 0 = r - 5*r - 48. Let a = r - n. What is the highest common divisor of 65 and a?
13
Let q = -20 - -21. Let i be (-9 - -5) + (q - -368). Let j = i + -261. What is the highest common factor of 8 and j?
8
Let m(h) = -3 + 9*h**2 - 1 + 0. Let a = -1273 - -1276. Let r be m(a). Calculate the highest common divisor of r and 11.
11
Let o(u) = -8*u + 62. Let h be o(18). Let z = 51 - h. What is the highest common divisor of z and 38?
19
Let v(p) = 2*p**2 - 11*p + 29. Let w be v(9). Let t = 346 - 231. Calculate the greatest common factor of t and w.
23
Let c be (4/6)/((-6)/45). Let j be c/(-2)*(-264)/(-10). Suppose -28*m = -29*m + j. What is the greatest common divisor of m and 6?
6
Let p be 1/2 - (72/16 + 3). Let k be 10/35 - 103/p. Let q = 4 - -2. What is the greatest common factor of q and k?
3
Let x = -5337 + 9063. Calculate the greatest common divisor of x and 162.
162
Let g(y) = 7*y**2 - 10*y - 71. Let r be g(14). Calculate the greatest common factor of r and 903.
129
Suppose -5*d = -2*d + 3, -5*m - 2*d + 38 = 0. Let j(p) = p**3 + 40*p**2 + 252*p - 1032. Let u be j(-14). What is the highest common divisor of m and u?
8
Let a(n) = 88 - 2*n - 32 + 0*n - 4*n. Let r be a(-29). What is the highest common factor of r and 20?
10
Let b = -8470 - -10126. Calculate the greatest common factor of 252 and b.
36
Let i(v) = 3*v**2 - 26*v + 577. Let q be i(15). What is the greatest common factor of 10 and q?
2
Let f = 16 + 42. Suppose -3*a + 3*z + f = 4*z, -2*z = -8. Suppose 25*l - a*l = 728. What is the highest common divisor of 8 and l?
8
Let x = -338 - -436. Let t be -2 - (20/(-5) + -12). Calculate the greatest common divisor of t and x.
14
Let g(d) = 3*d**2 + 3*d - 1. Let f be g(1). Suppose -4*x = y - 27, f*y - 169 = -5*x + 2*x. What is the highest common divisor of y and 10?
5
Suppose 3*b - 4*n - 464 = 0, 3*b - 472 = -0*b - 4*n. What is the highest common factor of b and 138?
6
Let i = 182 - 188. Let s be 126*(-4 + (-102)/(-27))*i. What is the highest common factor of 21 and s?
21
Suppose -z = -3*x + 5 - 9, 2*z - 3*x = 14. Suppose -z*g + 441 + 229 = 0. Calculate the highest common divisor of g and 1273.
67
Let j(q) = -q**3 + q**2 + 12*q + 2. Let b be j(4). Suppose -10*n + 6*n = -b*d - 1284, 3*n - 952 = -4*d. Calculate the greatest common factor of n and 5.
5
Let l(t) = 17*t**3 + 241*t**2 - 26*t + 24. Let o be l(-14). Calculate the highest common factor of o and 305.
61
Let i = 2029 + -724. What is the highest common divisor of i and 45?
45
Let x be (-366 + 68)/((-1)/16). Calculate the highest common factor of x and 64.
32
Let x be 26354672/760 - (-2)/(-10). Calculate the highest common divisor of x and 9.
9
Suppose -29*p = 192 - 446 - 413. What is the highest common divisor of 43 and p?
1
Let o(z) = 117*z + 1839. Let g be o(-7). Calculate the highest common divisor of g and 420.
60
Suppose 0 = -5*x - 3*x - 1280. Let j = 163 + x. Calculate the highest common factor of 24 and j.
3
Let b(z) = 175*z - 1392. Let h be b(8). What is the highest common factor of h and 172?
4
Let c(d) = d**3 - 17*d**2 + 16*d + 4. Let v = -31 - -47. Let r be c(v). Suppose 3*a - 168 = -r*a. Calculate the highest common factor of 6 and a.
6
Let y = -228 - -238. Let w be (-12)/8 + 4629/6. Calculate the highest common factor of w and y.
10
Let c be ((-202)/(-4))/(7/14)*9. Let v(l) = l**3 - 7*l**2 + 14*l - 39. Let g be v(6). Calculate the greatest common factor of g and c.
9
Let t(r) = -76 + 15*r - 2*r - r**2 + 13*r - 5*r. Let k be t(13). What is the greatest common factor of 154 and k?
14
Suppose 0 = 4*w - 0 + 8, 0 = -2*u - 5*w + 30. Let m be 2 + -2 + (51 - 1). What is the greatest common factor of m and u?
10
Suppose m + 2*l = 358, 0 = 7*m - 8*m - 3*l + 361. What is the greatest common divisor of 4664 and m?
88
Suppose -2*j = -6*j - 8, -2669 = -3*g + j. Suppose -4*h + g = 289. Calculate the greatest common factor of 60 and h.
30
Let b be (((-33)/(-14))/(40/(-140)))/((-9)/2916). What is the highest common factor of 1701 and b?
243
Suppose q = -2*q + 273. Suppose 103*m + 88*m + 533 = 232*m. What is the highest common divisor of m and q?
13
Let y(f) = -72*f + 16. Let h(x) = x - 2. Let l(p) = 10*h(p) - y(p). Let o be l(5). Calculate the highest common factor of 34 and o.
34
Suppose -1329*u + 1323*u + 30 = 0. What is the highest common divisor of 23 and u?
1
Let k = 207 + -202. Suppose -k*t - p + 494 = 0, -15*t + 10*t = 2*p - 493. Calculate the greatest common factor of t and 11.
11
Suppose -w = 3*w - 520. Let y = -2233 - -2153. Let x = y + w. What is the greatest common divisor of x and 30?
10
Let h = -2980 - -3124. Suppose -4*n - 8 = 0, 3*d - 5 = 2*n + 5. Suppose 11 = d*u - 21. Calculate the highest common factor of h and u.
16
Suppose -5*n + 5*a + 1030 = 0, -9*n + 482 = -7*n - 9*a. Suppose -f + u + 28 = 0, -3*f + 5 = 4*u - 79. Calculate the highest common factor of f and n.
28
Let a(m) = 486*m - 6633. Let v be a(15). What is the greatest common divisor of v and 511?
73
Suppose 17045 + 2321 + 16058 = 108*r. Calculate the greatest common factor of r and 1271.
41
Suppose 25*v - 6*v = 209. Suppose -q = m + 1, 2*m = q + 10 - 0. Suppose 3*w - 6 = -m. What is the highest common factor of w and v?
1
Suppose -16*d + 442 = 5*w - 15*d, -2*d + 180 = 2*w. Suppose -3*p + 262 + 1586 = 0. Calculate the highest common factor of w and p.
88
Let | {
"pile_set_name": "DM Mathematics"
} |
38416?
t**2 - 105502*t + 49
What is the x'th term of 495709, 1982806, 4461287, 7931140, 12392353, 17844914, 24288811, 31724032?
-2*x**3 + 495704*x**2 - x + 8
What is the w'th term of -387, -1101, -1819, -2541, -3267, -3997, -4731?
-2*w**2 - 708*w + 323
What is the a'th term of 45863, 91740, 137617?
45877*a - 14
What is the j'th term of 61248092, 122496182, 183744272, 244992362, 306240452, 367488542?
61248090*j + 2
What is the c'th term of 2431581, 2431816, 2432209, 2432760, 2433469?
79*c**2 - 2*c + 2431504
What is the i'th term of 5728, 11250, 16842, 22504, 28236, 34038?
35*i**2 + 5417*i + 276
What is the f'th term of -72367, -69059, -65751, -62443?
3308*f - 75675
What is the c'th term of 46769, 92954, 139135, 185312, 231485, 277654, 323819?
-2*c**2 + 46191*c + 580
What is the k'th term of -968063300, -968063302, -968063304, -968063306, -968063308?
-2*k - 968063298
What is the f'th term of -995361856, -995361857, -995361858, -995361859?
-f - 995361855
What is the d'th term of 17634128, 35268258, 52902388, 70536518, 88170648?
17634130*d - 2
What is the h'th term of -4890756, -4890758, -4890760?
-2*h - 4890754
What is the j'th term of -981, -1958, -2937, -3918, -4901?
-j**2 - 974*j - 6
What is the o'th term of 324597, 324585, 324557, 324507, 324429, 324317, 324165, 323967?
-o**3 - 2*o**2 + o + 324599
What is the f'th term of -646, -3368, -8164, -15034?
-1037*f**2 + 389*f + 2
What is the k'th term of 41554271, 41554266, 41554261, 41554256?
-5*k + 41554276
What is the q'th term of -26491, -25352, -23457, -20806, -17399, -13236, -8317?
378*q**2 + 5*q - 26874
What is the i'th term of 529, 1978, 4325, 7516, 11497, 16214?
-9*i**3 + 503*i**2 + 3*i + 32
What is the h'th term of -87466, -87507, -87554, -87607, -87666, -87731, -87802?
-3*h**2 - 32*h - 87431
What is the o'th term of -16206581, -16206588, -16206595, -16206602, -16206609?
-7*o - 16206574
What is the c'th term of -3604, -3431, -3206, -2905, -2504?
4*c**3 + 2*c**2 + 139*c - 3749
What is the g'th term of -88396, -88376, -88356, -88336, -88316?
20*g - 88416
What is the p'th term of 403553, 403534, 403515, 403496, 403477, 403458?
-19*p + 403572
What is the l'th term of 0, -36, -314, -966, -2124?
-22*l**3 + 11*l**2 + 85*l - 74
What is the a'th term of -449, -2077, -5295, -10517, -18157, -28629?
-69*a**3 - 381*a**2 - 2*a + 3
What is the k'th term of 29609, 59268, 88937, 118622, 148329?
k**3 - k**2 + 29655*k - 46
What is the j'th term of -21227, -21071, -20915?
156*j - 21383
What is the n'th term of -86571, -173040, -259511, -345984, -432459?
-n**2 - 86466*n - 104
What is the j'th term of 18197, 71033, 158491, 280571, 437273, 628597, 854543?
17311*j**2 + 903*j - 17
What is the q'th term of -289793, -289885, -290041, -290261, -290545?
-32*q**2 + 4*q - 289765
What is the y'th term of 3951, 31314, 105565, 250146, 488499?
3907*y**3 + 2*y**2 + 8*y + 34
What is the f'th term of -121905973, -121905980, -121905991, -121906006, -121906025, -121906048, -121906075?
-2*f**2 - f - 121905970
What is the k'th term of -15397, -61870, -139315, -247726, -387097, -557422, -758695?
k**3 - 15492*k**2 - 4*k + 98
What is the n'th term of -7292, -29143, -65552, -116513, -182020, -262067?
n**3 - 7285*n**2 - 3*n - 5
What is the a'th term of -55212, -106437, -157662, -208887, -260112?
-51225*a - 3987
What is the n'th term of 15717, 15292, 15037, 15036, 15373, 16132, 17397?
14*n**3 + n**2 - 526*n + 16228
What is the o'th term of -12918877, -25837776, -38756697, -51675640, -64594605, -77513592?
-11*o**2 - 12918866*o
What is the v'th term of 32582375, 65164792, 97747195, 130329578, 162911935?
-v**3 - v**2 + 32582427*v - 50
What is the v'th term of -58, -1016, -3808, -9352, -18566, -32368, -51676, -77408?
-153*v**3 + v**2 + 110*v - 16
What is the k'th term of 608786784, 1217573569, 1826360354, 2435147139, 3043933924, 3652720709?
608786785*k - 1
What is the s'th term of 68589, 68598, 68629, 68694, 68805, 68974?
2*s**3 - s**2 - 2*s + 68590
What is the d'th term of 1646, 2665, 3690, 4721, 5758, 6801, 7850?
3*d**2 + 1010*d + 633
What is the o'th term of 2735909, 2735902, 2735893, 2735882, 2735869, 2735854?
-o**2 - 4*o + 2735914
What is the a'th term of 392, 1164, 2548, 4850, 8376?
51*a**3 + 415*a - 74
What is the j'th term of 1184, 2636, 5054, 8432, 12764, 18044, 24266, 31424?
-j**3 + 489*j**2 - 8*j + 704
What is the o'th term of 532, 4821, 9110?
4289*o - 3757
What is the a'th term of 881374, 1762707, 2644040, 3525373, 4406706?
881333*a + 41
What is the v'th term of -1123876, -1123878, -1123880, -1123882, -1123884, -1123886?
-2*v - 1123874
What is the w'th term of -34961263, -34961266, -34961269, -34961272, -34961275, -34961278?
-3*w - 34961260
What is the f'th term of 12684, 28296, 43908, 59520, 75132, 90744?
15612*f - 2928
What is the l'th term of 402, 898, 1396, 1896, 2398?
l**2 + 493*l - 92
What is the v'th term of 350023, 349967, 349897, 349813, 349715?
-7*v**2 - 35*v + 350065
What is the l'th term of 402105, 804213, 1206323, 1608435, 2010549?
l**2 + 402105*l - 1
What is the x'th term of -54928, -109839, -164736, -219619, -274488, -329343, -384184?
7*x**2 - 54932*x - 3
What is the g'th term of 870255, 870346, 870429, 870498, 870547, 870570?
-g**3 + 2*g**2 + 92*g + 870162
What is the o'th term of -3829761, -3829763, -3829765, -3829767, -3829769?
-2*o - 3829759
What is the p'th term of 9402, 21903, 42740, 71919, 109446, 155327?
p**3 + 4162*p**2 + 8*p + 5231
What is the l'th term of -1972985376, -1972985377, -1972985378, -1972985379, -1972985380?
-l - 1972985375
What is the x'th term of 1083674, 2167453, 3251234, 4335017?
x**2 + 1083776*x - 103
What is the b'th term of 7676, 61481, 207522, 491909, 960752, 1660161?
7685*b**3 + 8*b**2 - 14*b - 3
What is the b'th term of -23357515, -23357538, -23357561?
-23*b - 23357492
What is the h'th term of -48856, -98806, -148756?
-49950*h + 1094
What is the d'th term of 282261, 282151, 281959, 281679, 281305, 280831?
-d**3 - 35*d**2 + 2*d + 282295
What is the k'th term of -958, -1498, -2984, -5896, -10714, -17918, -27988?
-80*k**3 + 7*k**2 - k - 884
What is the a'th term of -208460660, -208460664, -208460668, -208460672?
-4*a - 208460656
What is the v'th term of 150962886, 150962885, 150962884, 150962883, 150962882?
-v + 150962887
What is the x'th term of 2147680, 2147679, 2147676, 2147671, 2147664, 2147655, 2147644?
-x**2 + 2*x + 2147679
What is the f'th term of -3582, -2844, -2140, -1488, -906, -412?
-3*f**3 + f**2 + 756*f - 4336
What is the b'th term of 114797, 114738, 114639, 114500, 114321?
-20*b**2 + b + 114816
What is the n'th term of -98544585, -197089168, -295633751, -394178334, -492722917, -591267500?
-98544583*n - 2
What is the c'th term of -228, -384, -496, -588, -684?
-4*c**3 + 46*c**2 - 266*c - 4
What is the q'th term of -766416, -3065674, -6897766, -12262686, -19160428, -27590986, -37554354, -49050526?
q**3 - 766423*q**2 + 4*q + 2
What is the v'th term of -101, -677, -2235, -5267, -10265, -17721?
-82*v**3 + v**2 - 5*v - 15
What is the o'th term of 6484310, 6484246, 6484178, 6484106, 6484030, 6483950, 6483866?
-2*o**2 - 58*o + 6484370
What is the c'th term of -1842676, -1842651, -1842604, -1842535, -1842444, -1842331, -1842196?
11*c**2 - 8*c - 1842679
What is the x'th term of 2331, 4801, 7409, 10155, 13039?
69*x**2 + 2263*x - 1
What is the i'th term of -8034, -32464, -73184, -130194, -203494, -293084?
-8145*i**2 + 5*i + 106
What is the h'th term of -978283, -1956573, -2934865, -3913159, -4891455, -5869753?
-h**2 - 978287*h + 5
What is the r'th term of 2027, 4232, 6535, 8936, 11435, 14032?
49*r**2 + 2058*r - 80
What is the g'th term of -8922, -17599, -26028, -34209, -42142, -49827, -57264?
124*g**2 - 9049*g + 3
What is the m'th term of -46093, -46053, -45911, -45607, -45081, -44273, -43123, -41571?
10*m**3 - 9*m**2 - 3*m - 46091
What is the h'th term of 290037, 289836, 289637, 289440, 289245, 289052, 288861?
h**2 - 204*h + 290240
What is the s'th term of -49701, -50191, -50675, -51153?
3*s**2 - 499*s - 49205
What is the u'th term of 786867, 1573719, 2360571, 3147423, 3934275, 4721127?
786852*u + 15
What is the f'th term of 268, 2387, 8336, 20095, 39644, 68963, 110032?
330*f**3 - 65*f**2 + 4*f - 1
What is the u'th term of -245224624, -490449251, -735673878, -980898505, -12261231 | {
"pile_set_name": "DM Mathematics"
} |
68. Is o(5) a multiple of 12?
True
Let v = 45 - -83. Let m = v - -212. Is 13 a factor of m?
False
Let q = 406 + -401. Suppose -1129 = -5*w - g, 0 = -0*w + q*w + 5*g - 1145. Is 75 a factor of w?
True
Suppose 0 = -3*g - 2*o - 4 + 13, 5*g + o - 15 = 0. Let p be (0/(-2))/(2*3/(-2)). Suppose -4*l + l + 5*r + 125 = 0, -3*l - g*r + 117 = p. Is l a multiple of 10?
True
Is 17 a factor of (-1096455)/603*(2/10 + -2)?
False
Does 63 divide 844109/70 + 48/160?
False
Let s be ((-18)/(-24))/(85418/(-28472) - -3). Let z = -6883 - s. Suppose -1278 = 17*h - z. Is h a multiple of 18?
False
Let l(g) = 8*g**2 + 2*g - 1. Let a(j) = 3*j + 1. Let t be a(0). Let u be l(t). Suppose u = -d + 5*w, -d + 3*w - 27 = -4*d. Is d a multiple of 3?
True
Suppose 25730 = 2*w - 2*a, 79*a = 4*w + 76*a - 51465. Is 65 a factor of w?
True
Let f(q) = -16*q + 48. Let w be f(3). Suppose w*u + u = -4*g + 548, -5*u - 710 = -5*g. Is g a multiple of 49?
False
Let a(w) be the third derivative of -w**5/60 + 31*w**4/24 + 315*w**2. Is a(21) a multiple of 6?
True
Let u be 6 - (17 - 7) - -13. Is 28 a factor of (-17)/(-51) + 8979/u?
False
Is 33 a factor of 10 + (-16285)/50*-10?
True
Let w = 40 + -40. Suppose v - 43 = -3*j, -4*v + 0*v - 3*j + 136 = w. Does 10 divide v?
False
Is (-1 + 5 + 3)*((-166184)/(-56) + -5) a multiple of 157?
False
Let u(w) = 2376*w + 775. Is u(2) a multiple of 31?
False
Let o be -48 + ((-32)/4)/2. Let f = 122 + o. Suppose w = -4*b + b + f, -4*b = -5*w + 445. Is 17 a factor of w?
True
Suppose 94 + 20 = 6*v. Let u = v + 17. Is 18 a factor of u?
True
Let r be (-5 - -2)/((-4)/(3 - -1)). Suppose 479 = r*a - 2*b, -4*b - 2 + 10 = 0. Is a a multiple of 6?
False
Suppose -24*w = -4*w + 54895 - 219435. Is w a multiple of 96?
False
Let q(m) = 1 + 366*m**2 - 10*m - 363*m**2 + 71. Does 12 divide q(6)?
True
Let u(o) = 2*o**3 + 85*o**2 + 20*o - 431. Is 2 a factor of u(-41)?
True
Let k(g) = 10*g - 12. Let b be k(0). Is 9 a factor of (-34)/(51/b + 4)?
False
Is (8/(-6) - (-119)/(-21)) + 4546 a multiple of 56?
False
Is (3880/873 + (-4)/9)*(-2 + 2071) a multiple of 9?
False
Suppose -f = -5*c - 1197, 4*c + 4*f - 3*f = -963. Let l be ((-4)/3)/(4/c). Let u = -32 + l. Is 8 a factor of u?
True
Let x be ((-4)/6)/((-4)/138). Let y = -5339 + 5385. Suppose -y = -d - q + x, 5*d = 4*q + 372. Is 28 a factor of d?
False
Suppose -2*x = -4*o - 4*x - 114, -x = 4*o + 117. Is (22/2)/(o/(-660)) a multiple of 11?
True
Let b(w) be the second derivative of w**5/10 + w**4/6 - 4*w**3/3 + 3*w**2/2 - w. Suppose -14*u + 2*g = -13*u - 11, 16 = -4*g. Is b(u) a multiple of 4?
False
Suppose -5*m = -4*v + 55596, -2*v - 2*m = 3*v - 69528. Does 80 divide v?
False
Suppose -3*v - 1039 = -2*l - 5183, 0 = 3*l + 6. Suppose -2*c = -2*x - c + 539, 5*x + 4*c - v = 0. Is x a multiple of 16?
True
Let u be 17/4 + (-6)/(-8). Let v(i) = 10*i - 33. Let s(j) = 9*j - 33. Let y(g) = u*v(g) - 6*s(g). Is y(0) a multiple of 33?
True
Suppose 1115577 = 50*f + 633497 - 1366170. Does 47 divide f?
False
Suppose 4*f - b + 10097 = 35291, 6*f = -b + 37806. Is f a multiple of 70?
True
Suppose 10*n - 6102 = 2148. Is 36 a factor of n?
False
Let l(p) = p**3 + 26*p**2 + 40*p - 12. Let i be l(-24). Suppose -11 = -2*f - 1, 0 = -5*v - 5*f + i. Is v a multiple of 28?
False
Let q = 4733 - 2999. Is 15 a factor of q?
False
Suppose 12*f = -1703 + 2855. Is 12 a factor of f?
True
Suppose 2*x - 3*f + 947 = 6146, -5*x + 13017 = -f. Does 6 divide x?
True
Let d(j) = j**2 - 8*j + 10. Let y be d(4). Let w(a) = a**3 + 8*a**2 + 6*a - 13. Is 2 a factor of w(y)?
False
Let v(o) = 4*o**3 - 38*o**2 + 22*o + 262. Is 11 a factor of v(17)?
True
Suppose 0 = 2*o + a - 27, 4*o + 3*a = 6*a + 29. Let u be ((-97)/(-3))/(o/33). Suppose 3*i = -u + 448. Is i a multiple of 9?
True
Let c(z) = -9*z - 76. Let q be c(-10). Does 56 divide 2/4 + q/((-28)/(-783))?
True
Suppose 5*n + 13 = -2*m - 9, 4*n + m + 17 = 0. Let r be -2 - ((-2)/(-4))/(n/64). Does 38 divide (26/r - 1)*15?
False
Let f(m) be the first derivative of m**4/4 - 4*m**3/3 - m**2/2 + 14*m + 3. Let p = 123 + -117. Is f(p) a multiple of 16?
True
Suppose -9*w = -6 - 75. Suppose -w*f - 3*f + 3876 = 0. Does 57 divide f?
False
Suppose -103 = -5*z - p, -2*z - 7*p + 6*p = -40. Suppose -18*d - 63 = -z*d. Is 7 a factor of d?
True
Is 7 a factor of (248580/105)/((-102)/(-476))?
False
Let i be 7*21 - (1 - 2). Suppose 28*t - 20*t = 18*t. Suppose t = -4*y - y, -y = -4*q + i. Is 37 a factor of q?
True
Does 74 divide (122364/(-154))/(-27)*271*7?
False
Suppose 0 = -11*p + 155201 + 2187. Is p a multiple of 14?
True
Suppose -887803 = -182*f + 176715. Is 14 a factor of f?
False
Suppose -2*u = 4*i - 12 - 6, -18 = -5*i - u. Suppose 0 = -3*n - d + 10, -3*d = n - 5*n + 9. Suppose h - i*z - 18 = 0, -74 = -n*h + z - 2*z. Does 4 divide h?
True
Suppose 2*x - 12986 = 4*i - 134412, 121419 = 4*i - 3*x. Does 24 divide i?
True
Let r(y) = -y**3 + 33*y**2 + 9*y - 70. Let o be (264/(-20))/(12/(-30)). Does 32 divide r(o)?
False
Let q(w) = 6*w**3 - w**2 - 29*w + 444. Does 10 divide q(12)?
True
Suppose -868 = f - 8*f. Suppose -2*r = -2*u - f, 3*r - 60 - 130 = u. Is 16 a factor of r?
True
Is 9 a factor of (165/(-4))/((-3)/324)?
True
Suppose -10*u + 17*u = 420. Let l = 78 - u. Is l even?
True
Suppose x = 2*r + 2*x - 69, 4*r + x - 135 = 0. Suppose 0*l - 3*l + 60 = 5*p, 0 = 2*p + 3*l - r. Let q = p - -14. Does 23 divide q?
True
Let t = 22 + 88. Suppose 1315 = 5*g - t. Is 57 a factor of g?
True
Let m be (2/(-4))/(1/2). Suppose -g - 2*h + 102 = 3*g, 3*h = 9. Is 822/g - m/(-4) a multiple of 23?
False
Suppose 3*z + 26 - 29 = 0. Let h(d) = 34*d**2 + 3*d - 4. Is h(z) even?
False
Suppose -4*f - 15*y = -11*y - 81976, -5*y - 102520 = -5*f. Does 27 divide f?
False
Is 6 a factor of (1152/63 - 11 - 9)/(1/(-3801))?
True
Suppose 0 = 2*a - 2*k + 1766, -15 = 5*k - 40. Does 71 divide a/(-6) + 12*3/(-27)?
False
Let u = 16567 + -7957. Is u a multiple of 30?
True
Let l = 49 + -54. Let y be (l - -7)/(1 + -3). Is (y + -84)/(0 - 1) a multiple of 31?
False
Let d be 2*(-12)/(-8) + 37. Let z be ((-176)/d - -4)/((-1)/90). Suppose -26*t = -z*t + 840. Is t a multiple of 21?
True
Let l = -860 + 848. Is 18 a factor of ((-14623)/(-28))/((-3)/l)?
False
Suppose 4636 = 2*w + 7*a - 10*a, 2300 = w + 3*a. Does 34 divide w?
True
Let s(n) be the first derivative of n**4/4 + 8*n**3/3 - 3*n**2/2 + 9*n + 655. Suppose 3*t + 2*t + 4 = m, -6 = 3*t. Is s(m) a multiple of 19?
False
Does 13 divide (-23337)/(-15) + 10/50?
False
Let l(b) = -2*b**2 + 4*b + 0*b + 11*b + 17 - 3*b. Let h be l(7). Suppose -4*x = h*x - 182. Does 25 divide x?
False
Suppose -3822 = -3*u + 213. Suppose 215*l = 210*l + u. Is l a multiple of 30?
False
Does 39 divide 6/10*-26*45/(-2)?
True
Let z = -21794 - -28955. Is z a multiple of 38?
False
Suppose 2*q + 3*k - 16 = 0, k = q - 0*k - 3. Suppose -16*g - 1050 = -2*x - 18*g, -q*x - 4*g + 2628 = 0. Does 73 divide x?
False
Suppose 8375 = 3*o - z - 8947, -z - 23097 = -4*o. Does 55 divide o?
True
Let p = 29659 - 5976. Is 14 a factor of p?
False
Let b(u) be the second derivative of -u**5/20 - u**4/2 + 25*u**3/6 - 13*u**2 + 58*u - 1. Is 32 a factor of b(-11)?
False
Suppose -6*g + g = -2*q - 400, -g + 2*q = -88. Suppose -10*s + g = -9*s + 3*r, 5*r = s - 110. Is 37 a factor of s?
False
Let l(y) = -255*y + 2. Suppose 0*g + 7 = g - 4*n, -2 = -4*g + 3*n. Let w be l(g). Suppose -4*k + 510 = 5*a, 5*k - 3*a = 913 - w. Is 26 a factor of k?
True
Let g = 201 - 140. Suppose -62*t + 105 = -g*t. Is t a multiple of 6?
False
Suppose -28 = -8*u + u. Let j be 12 + (-1)/(-2)*(-2 - u). Is 33 a factor of 162 - (-5)/(15/j)?
True
Suppose 4*g - 39772 = 2650*a - 2654*a, 0 = -3*a - 5*g + 29835. Is a a multiple of 7?
True
Suppose 51*n + 4145 = 56*n. Let y = -561 + n. Is 11 a factor of y?
False
Suppose -30*b + 36837 = -8043. Is b a multiple of 9?
False
Does 275 divide (1725867/(-18))/(-11) - -6*5/20?
False
Suppose 32*g + g = g. Suppose -106*b + 109*b - 441 = g. Does 49 divide b?
True
Let b = 37718 - 23980. Does 27 divide b?
False
Let a be 2*2 + (1 - 5). Suppose a = -5*b + 420 + 735. Is 21 a factor of b?
True
Let z(q) = 9915*q + 625. Is z(2) a multiple of 14?
False
Suppose 0 = 256*m - 250*m + 4866. Let t = -539 - m. Is 16 a factor of t?
True
Let d = 11058 - -1614. Is d a multiple of 132?
True
Let f = 2 - 0. Suppose -3*u - 4*r = -10, r + 0*r = f*u | {
"pile_set_name": "DM Mathematics"
} |
er when 1540 is divided by 144.
100
Calculate the remainder when 247586 is divided by 100.
86
Calculate the remainder when 180488 is divided by 90243.
2
Calculate the remainder when 3294 is divided by 2919.
375
What is the remainder when 3061 is divided by 76?
21
Calculate the remainder when 23264 is divided by 284.
260
Calculate the remainder when 41620 is divided by 38.
10
Calculate the remainder when 28361 is divided by 14176.
9
What is the remainder when 48151 is divided by 13?
12
What is the remainder when 2395 is divided by 8?
3
What is the remainder when 57986 is divided by 14?
12
Calculate the remainder when 2158 is divided by 1204.
954
Calculate the remainder when 6260 is divided by 195.
20
Calculate the remainder when 188862 is divided by 29.
14
What is the remainder when 1529 is divided by 294?
59
Calculate the remainder when 2058 is divided by 416.
394
What is the remainder when 823 is divided by 212?
187
Calculate the remainder when 20483 is divided by 315.
8
Calculate the remainder when 1999 is divided by 1876.
123
Calculate the remainder when 93357 is divided by 240.
237
Calculate the remainder when 1028 is divided by 244.
52
Calculate the remainder when 4246 is divided by 3124.
1122
Calculate the remainder when 2216 is divided by 222.
218
Calculate the remainder when 31641 is divided by 684.
177
What is the remainder when 2996 is divided by 1483?
30
What is the remainder when 13996 is divided by 4623?
127
Calculate the remainder when 16333 is divided by 1813.
16
Calculate the remainder when 2737 is divided by 277.
244
What is the remainder when 51504 is divided by 283?
281
Calculate the remainder when 217637 is divided by 6.
5
What is the remainder when 1806 is divided by 991?
815
Calculate the remainder when 8232 is divided by 377.
315
What is the remainder when 113076 is divided by 38?
26
Calculate the remainder when 6824 is divided by 682.
4
What is the remainder when 2175 is divided by 243?
231
What is the remainder when 4620 is divided by 655?
35
Calculate the remainder when 2159 is divided by 184.
135
Calculate the remainder when 5859 is divided by 36.
27
What is the remainder when 3741 is divided by 1210?
111
Calculate the remainder when 81436 is divided by 21.
19
Calculate the remainder when 23002 is divided by 213.
211
Calculate the remainder when 2866 is divided by 67.
52
Calculate the remainder when 7684 is divided by 208.
196
Calculate the remainder when 927 is divided by 826.
101
What is the remainder when 188837 is divided by 13?
12
What is the remainder when 301278 is divided by 104?
94
Calculate the remainder when 143601 is divided by 32.
17
What is the remainder when 73635 is divided by 18?
15
What is the remainder when 1251 is divided by 119?
61
Calculate the remainder when 270429 is divided by 5633.
45
Calculate the remainder when 17175 is divided by 39.
15
Calculate the remainder when 638 is divided by 27.
17
What is the remainder when 568293 is divided by 189427?
12
What is the remainder when 22297 is divided by 5?
2
What is the remainder when 11248 is divided by 5?
3
What is the remainder when 18468 is divided by 2030?
198
Calculate the remainder when 68215 is divided by 307.
61
Calculate the remainder when 131972 is divided by 1.
0
What is the remainder when 319327 is divided by 85?
67
Calculate the remainder when 34742 is divided by 431.
262
What is the remainder when 734127 is divided by 45?
42
Calculate the remainder when 8449 is divided by 88.
1
Calculate the remainder when 6276 is divided by 563.
83
What is the remainder when 6800 is divided by 170?
0
What is the remainder when 50112 is divided by 1565?
32
What is the remainder when 4105 is divided by 1365?
10
What is the remainder when 58955 is divided by 120?
35
Calculate the remainder when 45 is divided by 26.
19
Calculate the remainder when 12372 is divided by 12317.
55
Calculate the remainder when 11032 is divided by 374.
186
What is the remainder when 4351 is divided by 118?
103
Calculate the remainder when 3060 is divided by 608.
20
What is the remainder when 91793 is divided by 46?
23
Calculate the remainder when 27009 is divided by 26855.
154
Calculate the remainder when 17441 is divided by 8720.
1
Calculate the remainder when 1293 is divided by 224.
173
What is the remainder when 9989 is divided by 144?
53
What is the remainder when 418 is divided by 140?
138
What is the remainder when 8809 is divided by 160?
9
Calculate the remainder when 186808 is divided by 224.
216
Calculate the remainder when 35524 is divided by 5073.
13
What is the remainder when 3077 is divided by 82?
43
What is the remainder when 2865 is divided by 1316?
233
Calculate the remainder when 32371 is divided by 16168.
35
What is the remainder when 95836 is divided by 326?
318
Calculate the remainder when 4680 is divided by 169.
117
What is the remainder when 2109 is divided by 225?
84
Calculate the remainder when 1001 is divided by 320.
41
What is the remainder when 1092943 is divided by 15?
13
Calculate the remainder when 673736 is divided by 19.
15
Calculate the remainder when 9566 is divided by 184.
182
Calculate the remainder when 35309 is divided by 8823.
17
What is the remainder when 150274 is divided by 147?
40
Calculate the remainder when 14333 is divided by 226.
95
What is the remainder when 93814 is divided by 1618?
1588
Calculate the remainder when 142172 is divided by 3306.
14
What is the remainder when 3264 is divided by 1087?
3
Calculate the remainder when 52259 is divided by 1683.
86
Calculate the remainder when 4176 is divided by 441.
207
Calculate the remainder when 432 is divided by 187.
58
Calculate the remainder when 468648 is divided by 321.
309
What is the remainder when 2918 is divided by 122?
112
What is the remainder when 1587685 is divided by 793837?
11
Calculate the remainder when 47599 is divided by 410.
39
Calculate the remainder when 149913 is divided by 22.
5
What is the remainder when 13187 is divided by 696?
659
Calculate the remainder when 6659 is divided by 1109.
5
Calculate the remainder when 12005 is divided by 12.
5
What is the remainder when 1472981 is divided by 17?
16
What is the remainder when 9662 is divided by 65?
42
What is the remainder when 2272 is divided by 162?
4
Calculate the remainder when 34046 is divided by 266.
264
What is the remainder when 1582041 is divided by 133?
6
Calculate the remainder when 1087109 is divided by 1115.
1099
Calculate the remainder when 9443 is divided by 91.
70
Calculate the remainder when 10193 is divided by 237.
2
Calculate the remainder when 2875918 is divided by 80.
78
What is the remainder when 100875 is divided by 151?
7
What is the remainder when 246940 is divided by 27?
25
What is the remainder when 98892 is divided by 8?
4
What is the remainder when 3290 is divided by 3214?
76
What is the remainder when 27740 is divided by 27738?
2
What is the remainder when 6692 is divided by 87?
80
Calculate the remainder when 2534 is divided by 81.
23
Calculate the remainder when 2372 is divided by 18.
14
What is the remainder when 63837 is divided by 137?
132
Calculate the remainder when 15201 is divided by 131.
5
What is the remainder when 16610 is divided by 2?
0
Calculate the remainder when 296978 is divided by 13.
6
What is the remainder when 200929 is divided by 183?
178
What is the remainder when 4999 is divided by 1546?
361
What is the remainder when 1413 is divided by 8?
5
What is the remainder when 34823 is divided by 6952?
63
Calculate the remainder when 12786 is divided by 94.
2
Calculate the remainder when 213667 is divided by 230.
227
Calculate the remainder when 1595083 is divided by 152.
147
What is the remainder when 17671 is divided by 233?
196
Calculate the remainder when 2344 is divided by 793.
758
What is the remainder when 28229 is divided by 744?
701
What is the remainder when 2450489 is divided by 245?
244
Calculate the remainder when 3951 is divided by 13.
12
Calculate the remainder when 661 is divided by 560.
101
What is the remainder when 142205 is divided by 109?
69
What is the remainder when 15035 is divided by 470?
465
What is the remainder when 25460 is divided by 25417?
43
Calculate the remainder when 9863 is divided by 249.
152
Calculate the remainder when 2946 | {
"pile_set_name": "DM Mathematics"
} |
1 a, 2 c, and 1 h.
56/715
Calculate prob of picking 1 v and 1 c when two letters picked without replacement from cvvcvvcvvvcccvcccvvv.
99/190
Two letters picked without replacement from {v: 1, q: 1, d: 1, s: 1, p: 2, n: 1}. What is prob of picking 1 n and 1 s?
1/21
Calculate prob of picking 4 c when four letters picked without replacement from {c: 15, a: 2, p: 3}.
91/323
What is prob of picking 4 u when four letters picked without replacement from ucccuuuuuuc?
7/66
Three letters picked without replacement from {v: 12, u: 7}. What is prob of picking 3 u?
35/969
Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {u: 1, g: 1, s: 1}.
1/3
Three letters picked without replacement from bbqqqcbicbcqccc. What is prob of picking 2 c and 1 b?
12/91
Four letters picked without replacement from ksskksuk. What is prob of picking 3 k and 1 u?
2/35
Two letters picked without replacement from yyyryyrryyryryyyyyy. What is prob of picking 2 y?
91/171
Calculate prob of picking 1 z, 1 d, and 1 b when three letters picked without replacement from {z: 1, d: 11, b: 3, a: 4}.
11/323
What is prob of picking 1 y and 1 w when two letters picked without replacement from mnwdwdydnwe?
3/55
Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, v: 2}.
15/28
Two letters picked without replacement from wlhhhhglghwlghw. Give prob of picking 1 w and 1 g.
3/35
Four letters picked without replacement from {c: 4, j: 6}. Give prob of picking 4 j.
1/14
What is prob of picking 1 y and 1 d when two letters picked without replacement from {n: 2, z: 1, y: 4, d: 1, c: 1}?
1/9
Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zzppzzppzppppppp.
11/182
What is prob of picking 1 n and 2 v when three letters picked without replacement from {v: 3, n: 2, i: 3, o: 3, j: 3}?
3/182
Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wwrrw.
3/5
Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {d: 3, k: 3, s: 1, q: 2, a: 1, f: 1}.
1/55
What is prob of picking 1 z and 2 l when three letters picked without replacement from {z: 5, t: 2, l: 7}?
15/52
What is prob of picking 1 s and 1 v when two letters picked without replacement from ssqvsqqqvq?
2/15
Three letters picked without replacement from jprrrprrwwrrrrpmrr. What is prob of picking 2 p and 1 r?
11/272
Two letters picked without replacement from niv. What is prob of picking 1 i and 1 v?
1/3
Three letters picked without replacement from gvjjgeggjgggjgjj. What is prob of picking 1 v, 1 g, and 1 j?
3/35
Calculate prob of picking 2 e, 1 v, and 1 c when four letters picked without replacement from ccqkvvokvcoeoe.
9/1001
Two letters picked without replacement from szzzzjsesej. What is prob of picking 1 z and 1 j?
8/55
What is prob of picking 2 y when two letters picked without replacement from {j: 1, w: 5, y: 5, s: 6}?
5/68
Two letters picked without replacement from ehhhfhuheueh. What is prob of picking 1 u and 1 h?
2/11
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from uufifufquqf.
8/55
Four letters picked without replacement from {u: 6, q: 1, o: 1, m: 1, w: 3}. Give prob of picking 1 m, 2 u, and 1 q.
1/33
What is prob of picking 1 p and 1 o when two letters picked without replacement from poo?
2/3
What is prob of picking 2 o, 1 e, and 1 l when four letters picked without replacement from {e: 2, p: 1, l: 1, o: 5}?
10/63
What is prob of picking 1 m, 1 w, and 1 k when three letters picked without replacement from wjmwkmwmmk?
1/5
What is prob of picking 2 k, 1 x, and 1 w when four letters picked without replacement from {z: 2, q: 3, k: 2, o: 4, x: 1, w: 3}?
1/455
Four letters picked without replacement from {l: 2, d: 4, r: 2, e: 1, s: 2, f: 9}. What is prob of picking 2 l, 1 d, and 1 r?
8/4845
Three letters picked without replacement from {c: 6, g: 1, n: 1, z: 1, o: 6}. What is prob of picking 1 g, 1 z, and 1 c?
6/455
Calculate prob of picking 2 a and 1 v when three letters picked without replacement from vaaaava.
4/7
Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 2, d: 2, j: 1, y: 2, q: 1, g: 1}.
1/18
Three letters picked without replacement from ztzdddhtzhga. Give prob of picking 1 g, 1 t, and 1 z.
3/110
Calculate prob of picking 3 n and 1 d when four letters picked without replacement from {d: 7, n: 6}.
28/143
Four letters picked without replacement from {w: 2, m: 1, n: 1, q: 1, h: 3, k: 3}. Give prob of picking 3 k and 1 n.
1/330
Four letters picked without replacement from {s: 16, g: 2}. Give prob of picking 2 s and 2 g.
2/51
Three letters picked without replacement from wiwiiiiiiiiii. What is prob of picking 2 i and 1 w?
5/13
What is prob of picking 2 z when two letters picked without replacement from {n: 6, b: 1, z: 7}?
3/13
Two letters picked without replacement from {a: 6, t: 1, b: 5, u: 2, g: 3}. What is prob of picking 1 a and 1 g?
9/68
Three letters picked without replacement from {z: 1, w: 4, t: 2, y: 6}. What is prob of picking 1 y, 1 w, and 1 z?
12/143
Four letters picked without replacement from {q: 6, k: 5, v: 4}. Give prob of picking 4 k.
1/273
What is prob of picking 2 p when two letters picked without replacement from {a: 4, i: 3, d: 1, v: 1, p: 6}?
1/7
Three letters picked without replacement from kkkkkkkkk. What is prob of picking 3 k?
1
Three letters picked without replacement from xzznxnfxx. Give prob of picking 1 x, 1 z, and 1 n.
4/21
Two letters picked without replacement from vvmvmm. What is prob of picking 2 v?
1/5
Two letters picked without replacement from ubbupppoupkkuvppp. Give prob of picking 1 u and 1 p.
7/34
Calculate prob of picking 1 j and 2 o when three letters picked without replacement from oojhhohoohjjoo.
9/52
Two letters picked without replacement from {f: 2, m: 2, d: 1, p: 2, v: 1, j: 1}. Give prob of picking 1 f and 1 v.
1/18
What is prob of picking 2 q when two letters picked without replacement from {u: 1, y: 2, v: 4, r: 1, q: 2}?
1/45
Calculate prob of picking 3 a when three letters picked without replacement from {b: 14, a: 5}.
10/969
What is prob of picking 1 p and 1 k when two letters picked without replacement from hakkpdl?
2/21
Four letters picked without replacement from {s: 2, a: 6}. Give prob of picking 2 s and 2 a.
3/14
What is prob of picking 1 k and 1 o when two letters picked without replacement from jkeikkkoekkke?
7/78
Three letters picked without replacement from mhhmmma. Give prob of picking 3 m.
4/35
Two letters picked without replacement from lqwrqqrcllclqzl. What is prob of picking 1 q and 1 w?
4/105
Calculate prob of picking 2 v and 1 j when three letters picked without replacement from jjvvwfj.
3/35
Calculate prob of picking 1 n and 2 f when three letters picked without replacement from nnffnnhfnnnfnjfffj.
7/34
Two letters picked without replacement from {j: 7, u: 4, g: 6}. What is prob of picking 2 j?
21/136
Calculate prob of picking 1 p and 2 l when three letters picked without replacement from {p: 3, l: 4, x: 3, a: 2, c: 4}.
9/280
Calculate prob of picking 3 p and 1 w when four letters picked without replacement from {p: 6, w: 4}.
8/21
Two letters picked without replacement from iiiwciwiowwwiiicwi. What is prob of picking 1 c and 1 o?
2/153
Calculate prob of picking 1 e, 2 c, and 1 y when four letters picked without replacement from yceccyy.
9/35
Two letters picked without replacement from zzzzuuuuzzuz. What is prob of picking 1 u and 1 z?
35/66
Calculate prob of picking 2 x and 1 n when three letters picked without replacement from xxxzxqqxqzqqznx.
3/91
Four letters picked without replacement from nnnnnnnnrnrnnnnrnnnn. What is prob of picking 3 n and 1 r?
8/19
Three letters picked without replacement from {q: 2, l: 1, v: 1, b: 1}. Give prob of picking 1 l and 2 q.
1/10
Four letters picked without replacement from obgwwggbgowwwbwgt. Give prob of picking 2 w, 1 t, and 1 o.
3/238
Calculate prob of picking 2 t when two letters picked without replacement from dtddthettdm.
6/55
Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {n: 3, v: 3, w: 1, a: 2, r: 9}.
9/68
Three letters picked without | {
"pile_set_name": "DM Mathematics"
} |
r 5:14 AM?
7:17 AM
How many minutes are there between 4:38 AM and 7:07 AM?
149
How many minutes are there between 3:27 AM and 6:12 AM?
165
What is 373 minutes before 7:07 PM?
12:54 PM
What is 251 minutes before 1:53 AM?
9:42 PM
How many minutes are there between 11:49 AM and 4:38 PM?
289
How many minutes are there between 2:26 PM and 11:58 PM?
572
How many minutes are there between 3:22 PM and 4:31 PM?
69
How many minutes are there between 8:31 AM and 11:16 AM?
165
How many minutes are there between 4:46 PM and 8:13 PM?
207
How many minutes are there between 9:51 PM and 6:03 AM?
492
What is 194 minutes after 3:29 PM?
6:43 PM
What is 526 minutes before 6:16 PM?
9:30 AM
What is 630 minutes before 6:10 PM?
7:40 AM
What is 250 minutes after 3:33 PM?
7:43 PM
How many minutes are there between 1:03 PM and 9:19 PM?
496
How many minutes are there between 5:30 AM and 8:15 AM?
165
What is 466 minutes before 3:38 PM?
7:52 AM
How many minutes are there between 12:38 PM and 10:21 PM?
583
What is 128 minutes after 4:50 AM?
6:58 AM
What is 641 minutes before 8:23 AM?
9:42 PM
How many minutes are there between 1:11 AM and 12:57 PM?
706
How many minutes are there between 9:26 PM and 11:33 PM?
127
How many minutes are there between 5:47 PM and 5:35 AM?
708
What is 159 minutes after 8:23 AM?
11:02 AM
How many minutes are there between 6:09 AM and 8:31 AM?
142
How many minutes are there between 2:55 PM and 11:03 PM?
488
What is 327 minutes after 11:54 AM?
5:21 PM
What is 501 minutes after 6:28 AM?
2:49 PM
What is 620 minutes before 3:07 PM?
4:47 AM
How many minutes are there between 6:33 PM and 1:59 AM?
446
How many minutes are there between 11:47 AM and 12:50 PM?
63
What is 154 minutes after 8:19 AM?
10:53 AM
How many minutes are there between 3:32 AM and 10:35 AM?
423
How many minutes are there between 7:32 AM and 11:56 AM?
264
What is 160 minutes after 2:02 PM?
4:42 PM
What is 236 minutes after 6:56 AM?
10:52 AM
What is 331 minutes after 12:44 PM?
6:15 PM
What is 514 minutes after 3:31 PM?
12:05 AM
How many minutes are there between 3:58 PM and 3:52 AM?
714
What is 76 minutes before 12:51 AM?
11:35 PM
What is 530 minutes after 12:29 PM?
9:19 PM
What is 620 minutes after 5:32 PM?
3:52 AM
How many minutes are there between 12:08 PM and 11:58 PM?
710
What is 367 minutes before 3:25 AM?
9:18 PM
How many minutes are there between 12:07 PM and 1:14 PM?
67
How many minutes are there between 4:33 AM and 12:58 PM?
505
What is 526 minutes before 9:01 PM?
12:15 PM
How many minutes are there between 9:04 PM and 10:11 PM?
67
What is 582 minutes after 9:39 AM?
7:21 PM
What is 71 minutes after 6:16 AM?
7:27 AM
How many minutes are there between 1:15 PM and 6:40 PM?
325
What is 52 minutes after 4:33 AM?
5:25 AM
What is 504 minutes after 11:40 AM?
8:04 PM
What is 618 minutes after 4:32 AM?
2:50 PM
How many minutes are there between 8:48 AM and 12:25 PM?
217
How many minutes are there between 11:00 PM and 12:09 AM?
69
How many minutes are there between 6:24 PM and 4:44 AM?
620
What is 355 minutes after 5:27 AM?
11:22 AM
How many minutes are there between 3:09 AM and 5:19 AM?
130
What is 652 minutes after 3:51 PM?
2:43 AM
What is 127 minutes after 2:19 AM?
4:26 AM
How many minutes are there between 12:36 PM and 7:37 PM?
421
How many minutes are there between 7:02 PM and 1:18 AM?
376
What is 628 minutes before 11:10 PM?
12:42 PM
What is 204 minutes before 5:04 PM?
1:40 PM
How many minutes are there between 2:15 PM and 5:32 PM?
197
How many minutes are there between 4:27 PM and 8:40 PM?
253
What is 181 minutes before 10:58 PM?
7:57 PM
What is 591 minutes before 9:42 PM?
11:51 AM
How many minutes are there between 4:08 AM and 11:04 AM?
416
How many minutes are there between 6:51 PM and 5:58 AM?
667
How many minutes are there between 4:11 PM and 6:18 PM?
127
What is 264 minutes before 4:10 PM?
11:46 AM
What is 623 minutes after 8:08 AM?
6:31 PM
What is 184 minutes before 3:19 PM?
12:15 PM
How many minutes are there between 12:51 AM and 12:19 PM?
688
How many minutes are there between 11:26 PM and 3:46 AM?
260
What is 291 minutes after 3:41 PM?
8:32 PM
How many minutes are there between 2:20 PM and 2:10 AM?
710
What is 300 minutes before 4:18 AM?
11:18 PM
What is 274 minutes before 12:27 PM?
7:53 AM
How many minutes are there between 4:37 AM and 12:13 PM?
456
How many minutes are there between 12:26 PM and 4:32 PM?
246
How many minutes are there between 12:29 PM and 3:53 PM?
204
How many minutes are there between 1:27 AM and 3:49 AM?
142
How many minutes are there between 10:24 PM and 5:36 AM?
432
What is 41 minutes before 10:06 PM?
9:25 PM
What is 492 minutes after 9:39 PM?
5:51 AM
How many minutes are there between 9:10 PM and 6:00 AM?
530
What is 344 minutes after 6:56 PM?
12:40 AM
What is 491 minutes after 11:46 AM?
7:57 PM
What is 36 minutes after 10:28 PM?
11:04 PM
What is 627 minutes after 5:39 AM?
4:06 PM
How many minutes are there between 12:28 AM and 6:10 AM?
342
How many minutes are there between 4:57 AM and 1:47 PM?
530
How many minutes are there between 10:44 PM and 10:03 AM?
679
How many minutes are there between 1:05 AM and 1:53 AM?
48
What is 428 minutes before 8:05 AM?
12:57 AM
What is 535 minutes after 6:58 PM?
3:53 AM
How many minutes are there between 8:24 PM and 2:37 AM?
373
How many minutes are there between 9:07 PM and 4:16 AM?
429
What is 505 minutes before 4:08 PM?
7:43 AM
What is 135 minutes after 11:02 PM?
1:17 AM
How many minutes are there between 5:58 AM and 11:26 AM?
328
What is 586 minutes before 2:48 PM?
5:02 AM
How many minutes are there between 11:38 PM and 12:37 AM?
59
What is 266 minutes after 5:15 AM?
9:41 AM
How many minutes are there between 12:51 PM and 6:46 PM?
355
What is 167 minutes after 3:11 AM?
5:58 AM
What is 286 minutes before 1:49 PM?
9:03 AM
How many minutes are there between 11:42 PM and 5:37 AM?
355
How many minutes are there between 1:43 AM and 7:54 AM?
371
What is 104 minutes before 6:46 AM?
5:02 AM
What is 359 minutes after 8:43 AM?
2:42 PM
What is 171 minutes after 8:03 AM?
10:54 AM
How many minutes are there between 8:28 AM and 3:32 PM?
424
How many minutes are there between 8:27 AM and 6:16 PM?
589
What is 63 minutes before 4:16 AM?
3:13 AM
What is 127 minutes before 9:04 PM?
6:57 PM
How many minutes are there between 5:01 PM and 4:13 AM?
672
How many minutes are there between 8:02 AM and 9:02 AM?
60
How many minutes are there between 10:31 AM and 5:25 PM?
414
How many minutes are there between 12:55 AM and 3:20 AM?
145
How many minutes are there between 5:24 AM and 4:26 PM?
662
What is 331 minutes after 5:30 PM?
11:01 PM
How many minutes are there between 10:43 AM and 1:33 PM?
170
What is 410 minutes before 9:04 AM?
2:14 AM
How many minutes are there between 11:34 PM and 4:49 AM?
315
How many minutes are there between 6:00 PM and 12:28 AM?
388
What is 6 minutes after 5:49 AM?
5:55 AM
What is 585 minutes before 9:56 PM?
12:11 PM
What is 620 minutes after 3:31 PM?
1:51 AM
How many minutes are there between 12:42 PM and 12:15 AM?
693
How many minutes are there between 1:51 AM and 1:24 PM?
693
How many minutes are there between 4:13 PM and 10:24 PM?
371
What is 630 minutes before 6:55 PM?
8:25 AM
How many minutes are there between 1:39 PM and 11:07 PM?
568
How many minutes are there between 3:00 PM and 8:42 PM?
342
How many minutes are there between 11:27 PM and 9:45 AM?
618
How many minutes are there between 5:56 PM and 9:56 PM?
240
What is 171 minutes before 4:45 AM?
1:54 AM
How many minutes are there between 6:21 PM and 10:32 PM?
251
How many minutes are there between 6:19 PM and 4:15 AM?
596
How many minutes are there between 11:54 AM and 9:10 PM?
556
How many minutes are there between 2:59 AM and 2:30 PM?
691
How many minutes are there between 10:52 PM and 1:27 AM?
155
What is 564 minutes before 7:40 AM?
10:16 PM
How many minutes are there between 6:40 AM and 9:18 AM?
158
What is 643 minutes before 3:06 AM?
4:23 PM
What is 107 minutes after 11:13 AM?
1:00 PM
How many minutes are there between 1:36 AM and 11:56 AM?
620
How many minutes are there between 3:23 PM and 5:45 PM?
142
What is 458 minutes before 1:27 AM?
5:49 PM
What is 404 minutes before 2:56 PM?
8:12 AM
What is 71 minutes before 10:08 PM?
8:57 PM
What is 504 m | {
"pile_set_name": "DM Mathematics"
} |
allest value in 0.2, z, 4/3, 0.03?
0.03
Suppose 9*j = 2*j + 21. Let o be (2*(-31)/(-6) - j) + -1. What is the second biggest value in o, -0.3, -3?
-0.3
Let r = 0.942 - 0.082. Let j = r + -0.56. Which is the second biggest value? (a) j (b) 5 (c) 43
b
Let n = 6.284 - 2.284. Which is the second smallest value? (a) n (b) -473 (c) 5
a
Let j = -1.4294 - -1.0294. Let l be 2/(-3) + (2 - 2). Which is the third smallest value? (a) l (b) j (c) 1/2
c
Let o = -1.9264 - -1.7264. What is the second biggest value in 1, -9, o, -1, 30?
1
Let v = 218/79 + -41/158. Which is the second biggest value? (a) v (b) -113 (c) 1/9
c
Let l be (-2)/(-30) - (-20590)/(-47850). Which is the second biggest value? (a) l (b) -5 (c) -1
c
Let l = -2/3 - -11/21. Let q = -0.022 + -0.078. Let n = 211/4 - 53. What is the third smallest value in q, l, n?
q
Let v = -8.09 + 3.99. Let w = v + 4.3. What is the second biggest value in w, 2, -0.2, -0.4?
w
Let p = -186 + 188.07. Let s = -4094/5 + 819. Which is the second smallest value? (a) p (b) -1/7 (c) s
c
Let i = -234599/8 - -29324. What is the second biggest value in 1/22, 2, -0.2, -5, i?
1/22
Let o = -3.52 - -3.6. Let x = o + 14.92. Let q = x - 15. What is the third smallest value in 1, 1/5, q?
1
Let l = 9122.16 - 9122. Which is the third smallest value? (a) -9 (b) l (c) 2/9 (d) -1 (e) 2/3
b
Let n be (-15 - -19) + (9/12*-3 - 2). What is the fourth biggest value in -1/3, -2/73, 1, n?
-1/3
Let b be 3/5*10/(-8). Let y = 85897 + -86005. What is the second biggest value in b, y, 4/3?
b
Let o = 46492 + -46560. Which is the fourth biggest value? (a) 0.7 (b) -3 (c) o (d) 9
c
Let n = -11764.5 + 11765. What is the fourth smallest value in n, -1/26, -1, 1?
1
Suppose 0 = 2*d + 3*g + 8, 3*d + 145*g + 12 = 140*g. Which is the third biggest value? (a) d (b) -0.19 (c) -3
a
Let v = -759/14 - -69/2. Let t = 26231 - 26231.4. What is the third biggest value in t, -0.1, v?
v
Let w = -244 - -241.23. Let y = 2.65 + w. Which is the second smallest value? (a) -2/13 (b) 1 (c) y (d) -0.3
a
Suppose -26*i = -28*i + 6*i + 30*i. Which is the second biggest value? (a) -7/220 (b) i (c) -0.03
c
Let i = -2091 + 2096. What is the biggest value in 0.06, 0.1, 1/5, i?
i
Let j(z) = 2*z - 22. Let l be j(12). Suppose -l*y - 2*y + 236 = 0. Let d = 941/16 - y. Which is the second smallest value? (a) 5 (b) 4/9 (c) d
b
Let m be 4 + 356/(-72) - (-2)/(-9). Let p = m + 83/66. Let r = p + -35/143. Which is the third biggest value? (a) r (b) -0.4 (c) -5
c
Let p = -113 - -70. Let t = -42.33 - p. Let q = t + -0.27. Which is the third biggest value? (a) -0.2 (b) 0.1 (c) q
a
Let c = -1822 + 1822.1. What is the fourth smallest value in c, 0.06, -2, -3/7?
c
Let j = -5089.8 - -5090. Which is the biggest value? (a) j (b) -287 (c) -2
a
Let j be (-10)/12*(-24)/30. Let l be (-270)/420*7/6. Which is the third biggest value? (a) -7 (b) l (c) 0 (d) j
b
Suppose 2*n + 146 = 4*h + 54, -52 = -2*h - 2*n. Let q be 2/3 - ((-448)/h)/(-7). Let z = -9 + 13. Which is the third smallest value? (a) z (b) 0.2 (c) q
a
Let w be (-15)/18*606/4626. Let u = w + -1/514. Which is the third biggest value? (a) -0.038 (b) -2 (c) 0 (d) u
d
Let y = 0.4 + -3.4. Let c = y + 2.3. Let g = c - 1.3. What is the second smallest value in -0.2, -1.2, g?
-1.2
Let s(m) = -802*m + 804. Let r be s(1). Which is the second smallest value? (a) -5/4 (b) 0 (c) r (d) 9 (e) 3
b
Let u = 10 - -2. Let d = u - 11.5. Which is the second smallest value? (a) -4 (b) d (c) -1
c
Suppose -53*n - 60 = 13*n - 6*n. What is the biggest value in n, 2, 0.5, 1.05?
2
Let w = 140 + -54. Let d = -53 + w. Let q = 32.8 - d. Which is the second smallest value? (a) q (b) -0.1 (c) 4
b
Let l be 2/((-12)/147)*19248/2807. What is the third smallest value in 0.3, 3.7, l?
3.7
Suppose 0 = -5*p + 5 - 15. Let v = -14709 - -14724. Which is the fourth biggest value? (a) p (b) 5 (c) -1/3 (d) v
a
Let s = 3.2 - 3. Let z = 1.49164 - 1.56164. What is the smallest value in z, s, 0.5, 3?
z
Let z be 1 + (0 + -2)*(-42)/(-28). Let n be -3 + ((-48)/(-15) - 0). What is the smallest value in -1/5, z, n?
z
Let p be 4/16 - ((-11121)/(-4932) - 2). Let i = p - -2063/1644. Let y = -4 - 1. What is the fourth biggest value in 1, i, y, -5/4?
y
Suppose -892*g + 780*g + 1232 = 0. Which is the smallest value? (a) g (b) -1 (c) 0.5 (d) 85/3
b
Suppose 401*k + 130 = 427*k. Which is the fourth biggest value? (a) -2/3 (b) 0.2 (c) k (d) -2/7 (e) 51
d
Let p = 1817 + -1817.3. Which is the biggest value? (a) -2/19 (b) 14/11 (c) p (d) -1/22 (e) 0.4
b
Let s = 65/6 - 11. Let w(g) = 136*g + 12. Let d be w(-6). Let z be 6/2 - d/(-276). Which is the second smallest value? (a) s (b) z (c) 0.01
c
Let l = -803.5 + 806.5. What is the second smallest value in l, 0, 3946, 1?
1
Let j be 2*3/(-6)*-1. Let v be (-70)/(j*3/3). Let q = 76 + v. Which is the second smallest value? (a) q (b) -1 (c) -5 (d) -4
d
Let v be 114/216 + 5/20. Let n = -131/99 + v. What is the second smallest value in -1/7, -3/4, 0, n?
n
Let u = -34 + -478. Let o = -508 - u. Which is the smallest value? (a) 0.2 (b) -0.2 (c) 2/3 (d) o
b
Suppose 0 = -3*d - w - 25, 0 = -3*d + 6*w - w - 55. Let j be ((-2)/(-8))/((7 - -2) + d). Let v = -2 - 1. What is the second biggest value in v, j, 2?
j
Let k(g) = g**3 + 6*g**2 - 8*g - 7. Let a be k(-7). Let b = 359.3 - 316.3. What is the third smallest value in 1, b, a?
b
Let m = 4.941 - 4.611. What is the smallest value in m, 0, -27?
-27
Let r = -153 - -147.8. Let v = 10.2 + r. Let w be (-6)/(-9)*3/(-14). What is the second smallest value in w, -3, v?
w
Let z be -1 - ((-14)/(-9))/(-2). Let j = 1194345 + -1194349. What is the fourth smallest value in -0.33, j, z, -0.3?
z
Let u = 2/9481 - 9485/18962. Suppose -3*d - 20 = -v, -11 = 3*v + 5*d - 1. Which is the second biggest value? (a) 2/3 (b) u (c) v
a
Let g = 28.9 - -59.1. Let z = g + -88.2. Which is the smallest value? (a) 1/7 (b) -4/7 (c) z
b
Let p = 7.241 - 7.041. What is the smallest value in 0.945, p, -0.4?
-0.4
Let w be (9 + 42/(-4))/(9/(-12)). Which is the smallest value? (a) 0.5 (b) 3 (c) w (d) -4 (e) 586
d
Let f = -54929 - -54919. Let l(t) = t**3 + 2*t**2 - 2*t. Let p be l(-3). Which is the smallest value? (a) p (b) f (c) -5
b
Let j = 0.04 - 0.24. Let z be (-9)/24*1358/(-3). Let s = z - 171. Which is the third biggest value? (a) j (b) -6 (c) s
b
Let f be 4/(-18) + 48022/(-9). Let o be f/(-21840) - (-2)/(-5). Let u = -1/78 - o. What is the smallest value in 50, 2, u?
u
Let v = -1.4466 - 0.5534. Let w = -2.2 - -1.1. Which is the smallest value? (a) v (b) w (c) 0.3 (d) -0.1
a
Suppose 4*z - 1 = -9. Let f(i) = -i**3 + 3*i**2 + 7*i - 20. Let q be f(5). Let p be (4/25)/(14/q). Which is the second smallest value? (a) z (b) p (c) -1/4
b
Let s = 0.2064 + -0.2064. What is the third biggest value in 0.5, 2/11, s, 216, -4?
2/11
Let u = 52 - 45. Suppose u = 4*p - 9. Suppose -5*j + p*j = -3. Which is the smallest value? (a) -5/6 (b) j (c) -0.2
a
Let m = -194 - -193.9. Let r = -0.1 - m. Let u be 2/(-7) - (-24)/(-28). What is the second biggest value in u, -0.4, r?
-0.4
Let f = -0.19 + 0.18. Let l(i) = i**2 - 30*i + 227. Let z be l(14). Which is the second biggest value? (a) -3/2 (b) z (c) f (d) -3
c
Let y = -1399.7 + 1400. What is the smallest value in -3/2, 124/13, y, 0.4?
-3/2
Let j = -1.81 + 1.7. Let r be 6/42 + 6*(14 - (-10747)/(-770)). What is the biggest value in -4, j, 4, r?
4
Let n = -2154.98 - -2155. Which is the third smallest value? (a) 0 (b) -28 (c) n (d) 3
c
Let g = -114 - -115. Let m be -5 + -12*(-42)/96. Which is the third biggest value? (a) -0.4 (b) -2/7 (c) m (d) g
b
Let p = -512 - -542. Let m be -3 + -1 - ((-1419)/p)/11. Which is the second biggest value? (a) -3/7 (b) -0.3 (c) m
b
Let n = 434/13 - 1775/52. Let i = -0.3 + 0.4. What is the second smallest value in -2, i, n?
n
Let k be 15/(-55) + (-1110)/(-1650). What is the second biggest value in -5, -47, -1, 3, k?
k
Let f = -3306 + 3302. Which is the third smallest value? (a) 0.05 (b) -5 (c) -7 (d) f
d
Let o be (110/(-4) - -25)*(-8)/10. Which is the third smallest value? (a) -25 (b) -3 (c) -5 (d) o
b
Let y = -0.06612 + -3.93388. What is the biggest value in -102, y, -1 | {
"pile_set_name": "DM Mathematics"
} |
= -3*r, -r + 4*r = 15 for w.
0
Solve 0 = 2*w + 3*v - 4, 0*w + 2*w - 8 = -5*v for w.
-1
Solve -4*w = -2*i - 26, 4*w - 36 = 4*i - 0*w for i.
-5
Solve i - j = 4*i - 9, 1 = -i + j for i.
2
Solve 2*g = -2*u + 14, g - 13 = -9*u + 7*u for u.
6
Solve -30 + 5 = -5*o - 3*v, -5*o + 25 = -v for o.
5
Solve 0 = -4*f + q - 8, -3*f + 3 - 28 = 4*q for f.
-3
Solve f = -3*s + 14, -4 = -4*f - 3*s + 7 for f.
-1
Solve 5*o + 5 = 0, -v + 2 = o + o for v.
4
Solve -5*l - 19 = -3*n - 0*n, 25 = -3*l - 5*n for l.
-5
Solve -3*h - 20 = 2*h - 5*o, -12 = 3*h - 2*o for h.
-4
Solve f + 3*w - 16 = 0, -5*f = -2*f + 2*w - 20 for f.
4
Solve 4*l - 1 + 5 = -y, 7*l = -2*y - 7 for y.
0
Solve 2 = -4*n - 2*d - 2, 3*d - 6 = 0 for n.
-2
Solve -5*h - 1 = 3*v - 7, -3*v + 6 = -4*h for h.
0
Solve 2*b - 3 = -x, 3*b + 6 = 3*x - 8*x for b.
3
Solve 0 = -3*m + h + 16, 33 - 11 = 5*m + 3*h for m.
5
Solve 6*q = -u + 3, -9*q = -u - 7*q - 5 for u.
-3
Solve -14*t + 120*f - 119*f = -60, 0 = 2*t + 4*f + 8 for t.
4
Solve 5*t = 2*s + 20, -2*t = -15 + 7 for s.
0
Solve 0*g + 5*u - 17 = 3*g, 4*g + 5*u - 24 = 0 for g.
1
Solve 0*p + 2*a - 9 = -p, 2*p + 2*a = 6 for p.
-3
Solve 5*o + 5 = 0, -3*o = 5*x + 16 - 8 for x.
-1
Solve -3*l - 5*g = -17, -l - 5*g = -g - 8 for l.
4
Solve 2*p - r + 6 = 0, 3*p + 4*r = 8*r - 9 for p.
-3
Solve 5*s - 4*h = h, 13*h = 16*h for s.
0
Solve 304*i - 300*i = -2*z - 12, -2*i - 4 = 0 for z.
-2
Solve 8*m - 5*m = 2*x - 9, -3*m + x = 9 for m.
-3
Solve -2*v - 10 = -y, 5*y - 4*v - 18 = 4*y for y.
2
Solve 3*c = -4*s + 13, -6*s = -2*s + 2*c - 10 for s.
1
Solve 2*p - 2*n = -18, -41*p + 46*p + 33 = 2*n for p.
-5
Solve 0 = o - n - 4, 3*n = -21*o + 26*o - 16 for o.
2
Solve 12 = 3*d + 4*j, -16 + 4 = 2*d - 4*j for d.
0
Solve -d + 0*y - 2*y = 0, 4*y - 4 = 0 for d.
-2
Solve -2*v + 8 = 3*z + 1, 5*z - 2*v = -15 for z.
-1
Solve 0 = 4*s - 5*h + 24, -4*s - 5*h = -2*s - 18 for s.
-1
Solve 5*g + 8 - 7 = 3*x, 7*x = -3*g - 27 for x.
-3
Solve 9 = 2*d - v, 4*d = v - 14 + 29 for d.
3
Solve 3*d - 2 = v, -2*v = -3*v + d - 4 for v.
-5
Solve -3*u = -3*s + 24, 3*s - 8*u + 9*u = 0 for s.
2
Solve 12*v + 55 = 23*v - d, 0 = 3*v + d - 15 for v.
5
Solve 2*s + 9*w - 6*w + 8 = 0, -3*w - 16 = -2*s for s.
2
Solve -2*a = -4*r, -4*a = 5*r - a + 22 for r.
-2
Solve -3*n - 150 = 4*q - 136, 0 = 5*n + q - 5 for n.
2
Solve t + 11 + 11 = -5*c, -2*c - 2*t = 12 for c.
-4
Solve -5*f - 7*p = -2*p + 40, -2*f + 3*p = -9 for f.
-3
Solve -5*x + 4*n + 7 = 0, 4*n - 6 + 16 = 2*x for x.
-1
Solve 3*z - 11 = -2*w, 2*z + 4*w + 24 = 26 for z.
5
Solve -25 = -b + 45*f - 50*f, 5*b + 4*f + 1 = 0 for b.
-5
Solve 6 = 3*b + 4*n - 2, 2*n = 3*b + 4 for b.
0
Solve -2*r + 2 = 0, -2*p + 5*r - 7 = -4*p for p.
1
Solve -4*a + 25 = -5*k - 20, 0 = -3*a - k + 10 for a.
5
Solve 5*d - w - 6 = 4*d, -w = 5*d - 6 for d.
2
Solve 0 = -3*p + 2*u - 4, -5*p + 4*u + 0 = 4 for p.
-4
Solve 3*d - b - 20 = 0, -d = 3*b - 4*b - 10 for d.
5
Solve 2*d = k, d + 2*k - 4 = 1 for d.
1
Solve 4*l - 6 = 14, 2*i - 22 = -4*l for i.
1
Solve 5*v = 3*i + 11, 0 = -2*i + 2*v - 5*v + 18 for i.
3
Solve 0 = y + 3*j + 11, 4*y + 4 = -0*y - 2*j for y.
1
Solve -2*l = 2*v + 2, -2*v - 3 + 5 = 3*l for l.
4
Solve -94*q + 11 = -91*q + z, 0 = 3*q + 5*z + 5 for q.
5
Solve -t = p + 4, 0 = 10*t - 7*t - 5*p - 28 for t.
1
Solve -3*y + h = -4*h - 5, -y = 3*h - 11 for y.
5
Solve 3*o - 5*d - 22 = 0, -5*o + 20 = 4*d + 8 for o.
4
Solve l = 2*t - 1, 0 = -l - 3*t + 2*t + 5 for l.
3
Solve 9*m - 3*n = 12*m - 6, 4*m = 4*n for m.
1
Solve 5*d = -5*o, 2*d = -2*o + 6*o - 12 for d.
-2
Solve -3*f - 25 = 2*f, -2*b - 1 = -f for b.
-3
Solve 4 = 2*q + 3*h, -3*q + 7 = 4*h + 2 for q.
-1
Solve -3*i + 3*w = -12, -18*i + 21*i - 5*w = 12 for i.
4
Solve -4*c = j + 24, 27*c = 30*c - 5*j - 5 for c.
-5
Solve -2*l - 3*c - 17 = 0, 8 = -l - 3*c - 8 for l.
-1
Solve -4*o + 6*s = 2, 20*o - 16*o - 5*s + 3 = 0 for o.
-2
Solve c - 3*b = -c - 1, -b = -c for c.
1
Solve -4*a - 16 = 0, -5*a = 4*o + o + 20 for o.
0
Solve 4*k + y + 30 = -y, 4*k + y + 25 = 0 for k.
-5
Solve -5*n + 5*d = -6 + 1, -2*n = -d - 1 for n.
0
Solve 0 = 4*g - x + 5, 2*g + 2*x = -g - 12 for g.
-2
Solve 3*p + 21 = 2*v, 0 = 4*v + 27*p - 28*p - 7 for v.
0
Solve -4*l + 12 = 0, x - 18 = -0*x - 5*l for x.
3
Solve 6*z = 2*z + 4*g, -5*g = z + 12 for z.
-2
Solve 6*j = 11*j + 5*v - 25, 3*j = -4*v + 16 for j.
4
Solve 11*s = -3*f + 13*s + 15, 3*s = 0 for f.
5
Solve 0*y = -5*o + 3*y + 35, 4*o - 3*y = 31 for o.
4
Solve 2*a - 8*a - 3*j = -27, 2*a - 5 = 3*j for a.
4
Solve 0 = 4*a - 2*h - 20, 4*a - 18*h = -14*h + 28 for a.
3
Solve r - 10 = -5*n, -r - 12*n - 2 = -11*n for r.
-5
Solve -2*s + 0 = -y - 2, 4*y = 4*s + 4 for y.
4
Solve 4*m - o = 3*o + 8, -5*o + 6 = -m for m.
4
Solve 1 + 4 = u + 2*h, -4*h = -12 for u.
-1
Solve -3*x = m - 13, 4*m - 2 = -4*x + 26 for m.
4
Solve -3*l - 40 = -3*j - 31, -5*l - 25 = 5*j for j.
-1
Solve -1 = 5*a - 51*g + 48*g, 0 = a - 2*g - 4 for a.
-2
Solve 5*o - 3 = -k + 8, 5*o + 1 = -4*k for o.
3
Solve 2*p + 28*g - 27*g = 3, 2*g - 15 = 5*p for p.
-1
Solve z + s = -1 + 7, 2*s + 12 = 4*z for z.
4
Solve 3*o = 2*x + 5, -4*o = -x - 7*o - 7 for x.
-4
Solve -3*u = -2*p + 9, 2*p - 6 = -5*u - 5 for u.
-1
Solve -c - 5*d = -6, -3*c + 2 = -2*c + d for c.
1
Solve l = -4*k + 2*l + 1, 30 = -5*k - 5*l for k.
-1
Solve 0*y - 3*y = -4*f + 1, -5*y = -2*f + 11 for y.
-3
Solve q = -3*x, -3*x - 2*x = -5*q for q.
0
Solve 5*v = 3*b + 10, -5*b = -v + 9 - 29 for b.
5
Solve 29 = 4*n + 3*s, 4*n + 4 = 3*n + 3*s for n.
5
Solve 5*b + 15 = 5*x, 6*x = 2*x + b + 12 for x.
3
Solve 0 = 5*y - 2*k + 14 - 34, -5*y + 5 = k for y.
2
Solve q + 2*d - 1 = 0, 3*q + 3*d = 8*d + 3 for q.
1
Solve 2*d + 1 = -5*z - 18, -3*z = d + 12 for z.
-5
Solve -4*f + m + 4 = 0, -3*f = 2*f - 5*m + 10 for f.
2
Solve -4*o + 15*j - 16 = 13*j, 2*o = -3*j - 16 for o.
-5
Solve 0 = -2*m - 4*p - 6, -28 = -3*p - 25 for m.
-5
Solve -5*y = 4*t - 9 + 4, -t - 2*y = 1 for t.
5
Solve 3*m - 8 = 5*w, -7*w = -3*m - 12*w + 28 for m.
6
Solve 5*q - 4*w + 10 = 7*q, 5*q = -3*w - 10 for q.
-5
Solve 3*l + 2*w - 15 = -2*w, l - 5*w - 5 = 0 for l.
5
Solve 3*f + 21 = -3*i, 3*i = -2*i - 15 for f.
-4
Solve -4*l + 1 = -4*b - 3, -4*l = -3*b - 7 for l.
4
Solve 0 = n - 13*v + 16*v + 3, -5*n = v + 15 for n.
-3
Solve -28 = 4*l - n - n, -n = -4*l - 24 for l.
-5
Solve p + 40*x - 45*x + 9 = 0, -2*p + 18 = 2*x for p.
6
Solve -4*g = q - 13 - 10, 2*g - 4 = 2*q for q.
3
Solve 29*n + 2*b + 10 = 31*n, -2*n - 3*b = 0 for n.
3
Solve -z + 26 = -5*r, r - 6*z = -2*z - 9 for r.
-5
Solve 45*y - 42*y = 4*s - 5, -3*y + 20 = s for y.
5
Solve -3*k + 8 = -2*s - k, 4*k = 5*s + 21 for s.
-5
Solve -2*f - 26 = 4*y, 0 = -9*y + 13*y + 20 for f.
-3
Solve -1 = -5*d - 5*p + 9, 5*d + p + 10 = 0 for d.
-3
Solve 0*h - 2*u + 8 = -h, 16 = -3*h + 4*u for h.
0
Solve 2*v - 6*r + 10*r = -12, -1 = v + r for v.
4
Solve -6 = 3*j, 3*t = t - j + 4 for t.
3
Solve 8*g - 4*u + 8 = 0, -2*g + 4*u + 12 = -4*g for g.
-2
Solve -5*v + 3*b = -0*b + 6, 4*b + 24 = -4*v for v.
-3
Solve -2*o = 2*v + 2*o + 14, 0 = 3*v + 2*o + 13 for v.
-3
Solve -12 = -2*k + c, -4*k + 10 + 26 = -5*c for k.
4
Solve 5*a = 3*g, 411*g + 34 = 416*g + 3*a for g.
5
Solve q + 18 = 5*j, -4*q + q = -4*j + 10 for q.
2
Solve 12 = 4*k, 5*j - 4*k + 14 + 8 = 0 for j.
-2
Solve 0 = 2*w - 2*t - 4, -8*t + 2 = 2*w - 11*t for w.
4
Solve 3*w - 5 = -4*p, -4*w - 6*p + 7 = -p for w.
3
Solve -5*u + 15 = 3*h, 4*u + 8*h - 12 = 13*h for u.
3
Solve 5*l = -4*x + 9, 2*x = 7*x - 5*l for x.
1
Solve 71*l - 66*l - 22 = 4*x, 4 = 5*l + 2*x for l.
2
Solve -25 = 4*w + 5*p, -1 = -81*p + 82*p for w.
-5
Solve -4*f + 134*k = 138*k - 4, 3 = 3*f - k for f.
1
Solve -y = -3*m + 10, 2 = -y + 4 for m.
4
Solve 5 = -x + 4*t, 2*x - 2*t + 19 = 21 for x.
3
Solve -5*c - 4*d - 8 - 18 = 0, -2*c - 3*d - 16 = 0 for c.
-2
Solve -2*p - 10 = -5*k + 5, 5*k = 3*p + 10 for k.
5
Solve -3*i - 5 + 2 = 5*v, -5*i - 5 = -4*v for v.
0
Solve -x + 3*w + 12 = 0, -2*x + w + 18 = 3*x for x.
3
Solve -2*v - 8 = -2*n, -5*v = -n - n + 14 for v.
-2
Solve -2*q + 2*o - 10 = 4*o, 2*q - 2*o = 2 for q.
-2
Solve 3*b - 21 = -3*r, 10 - 6 = b for r.
3
Solve 2*f = 3*r - 4*r - 3, 5*r + 5*f - 5 = 0 for r.
5
Solve -4*z = -5*o + 4 - 2, -4*o + 8 = 0 for z.
2
Solve -j - 5 = -4*r + 4, -3*r = 4*j - 21 for r.
3
Solve 0 = -4*r - 2*n + 12, -47*r + 48*r + n = 5 for r.
1
Solve 4*w + 6*g = 2*g - 20, 4*g = -12 for w.
-2
Solve -j = -5*s + 15, 5*s - 9*s = 5*j - 41 for | {
"pile_set_name": "DM Mathematics"
} |
se 8, what is 1 + -5072?
-5071
In base 15, what is 5a - -6?
61
In base 16, what is -b - -78?
6d
In base 10, what is -69 - -34?
-35
In base 15, what is -5 + -3dd?
-3e3
In base 16, what is 35b - 0?
35b
In base 11, what is 37 - -28?
64
In base 7, what is -3 + 550?
544
In base 3, what is 11121 - 100?
11021
In base 9, what is 8 + -60?
-51
In base 3, what is -1221111 + -2?
-1221120
In base 13, what is 1 + 2b?
2c
In base 9, what is 3880 - 3?
3876
In base 4, what is 102 + -201?
-33
In base 14, what is 7446 + -5?
7441
In base 4, what is 3 + 22?
31
In base 15, what is 96 + c?
a3
In base 9, what is 3 - 765?
-762
In base 16, what is 888 - 4?
884
In base 2, what is 0 - -100001110110?
100001110110
In base 2, what is -11111001100 - 11?
-11111001111
In base 11, what is 1295 - -1?
1296
In base 3, what is 210 - 121?
12
In base 16, what is 12 + -f?
3
In base 8, what is -107 + 4?
-103
In base 10, what is -5 + 230?
225
In base 15, what is -5 + -4cd?
-4d3
In base 4, what is -10 - -22021?
22011
In base 2, what is -1000101100001111 + -10?
-1000101100010001
In base 2, what is 1101011 + 101001?
10010100
In base 6, what is -2 - 54?
-100
In base 6, what is 12 - 450?
-434
In base 8, what is 62 + 324?
406
In base 13, what is 4276 - -4?
427a
In base 3, what is 1000222 + 2?
1001001
In base 6, what is 3 + 11?
14
In base 11, what is 1 - 649?
-648
In base 14, what is -1346 + -3?
-1349
In base 11, what is -4 - -17?
13
In base 6, what is -35232 - 2?
-35234
In base 2, what is 111 + -10010001?
-10001010
In base 16, what is 6 + -2?
4
In base 11, what is 127 + 12?
139
In base 11, what is 3 + 45?
48
In base 7, what is -5 - -101?
63
In base 7, what is -6 + 53?
44
In base 7, what is 1 + -6?
-5
In base 8, what is 34 + -447?
-413
In base 5, what is -30320 - -2?
-30313
In base 11, what is 3 - -164?
167
In base 3, what is -1002 + 21?
-211
In base 15, what is -2d5 + 3?
-2d2
In base 6, what is 5 - -120?
125
In base 8, what is -1361 - -4?
-1355
In base 10, what is 5 - 184?
-179
In base 11, what is 858 + 2?
85a
In base 15, what is -20e + -3?
-212
In base 14, what is 4 + 33?
37
In base 10, what is 1 - 12?
-11
In base 2, what is 0 - -1000010001?
1000010001
In base 13, what is -57 - 3?
-5a
In base 9, what is 10352 - 4?
10347
In base 12, what is 24 - 3?
21
In base 8, what is -13 + -155?
-170
In base 7, what is -1152 + 3?
-1146
In base 2, what is 11110 + -111000?
-11010
In base 2, what is 1101 + 10100?
100001
In base 5, what is 43 - 21?
22
In base 3, what is 1101 + 11001?
12102
In base 3, what is -2220121 + -10?
-2220201
In base 15, what is 5 - 7b?
-76
In base 11, what is -199 + -38?
-226
In base 11, what is -1 - 44?
-45
In base 10, what is -10573 + 0?
-10573
In base 16, what is -10 + -32?
-42
In base 11, what is -1959 - -1?
-1958
In base 16, what is 2 + -7?
-5
In base 5, what is 22 + -144?
-122
In base 4, what is -10 - 330?
-1000
In base 7, what is -101246 - -3?
-101243
In base 9, what is 5 - 84?
-78
In base 16, what is -2 - 66?
-68
In base 10, what is -8 - -103?
95
In base 14, what is 32 + 0?
32
In base 5, what is 1121 + -11?
1110
In base 12, what is -19 - 38b?
-3a8
In base 4, what is 3 + 31?
100
In base 5, what is -4 - -41?
32
In base 3, what is -1102210 - 10?
-1102220
In base 9, what is 7 - 215?
-207
In base 7, what is -2 - -5?
3
In base 2, what is 11 + -10111?
-10100
In base 2, what is 0 - 10111010101?
-10111010101
In base 15, what is 2e + 3?
32
In base 14, what is -251d + 4?
-2519
In base 8, what is 6 + 35?
43
In base 12, what is 4 + 377?
37b
In base 9, what is -6 - -10?
3
In base 11, what is -1a - -14?
-6
In base 9, what is -104 - -4?
-100
In base 9, what is 4 + 133?
137
In base 14, what is 6 + 1d?
25
In base 12, what is 3 - -3b?
42
In base 15, what is 5e47 + -1?
5e46
In base 9, what is 668 - -1?
670
In base 16, what is -314 - -1?
-313
In base 10, what is -2 - -40?
38
In base 9, what is -33 - -4?
-28
In base 13, what is ba + -2?
b8
In base 7, what is 2 + -603?
-601
In base 15, what is 45 - 16?
2e
In base 2, what is 100 - -101100?
110000
In base 9, what is -76 + 5?
-71
In base 11, what is 1 - a5?
-a4
In base 15, what is 814 - -3?
817
In base 15, what is -a + -e?
-19
In base 11, what is -1 + -138?
-139
In base 14, what is -3 + 9?
6
In base 6, what is -212 - -3?
-205
In base 4, what is 3 - 200313?
-200310
In base 11, what is -a6 + 30?
-76
In base 9, what is -37 - 102?
-140
In base 9, what is 203 - 263?
-60
In base 12, what is -370 - 1?
-371
In base 6, what is -312 + 31?
-241
In base 12, what is 9 - -5?
12
In base 8, what is -12 + 1054?
1042
In base 14, what is -3 - 13a?
-13d
In base 7, what is -23 + -115?
-141
In base 15, what is e + -187?
-178
In base 2, what is -1000011 + 100?
-111111
In base 15, what is 5a40 + 5?
5a45
In base 9, what is 51 + -1?
50
In base 15, what is 604 + 0?
604
In base 7, what is 5 - 26?
-21
In base 16, what is -3 - -6?
3
In base 6, what is 5355 - -3?
5402
In base 3, what is 1000 + -100?
200
In base 7, what is -256 - -3?
-253
In base 13, what is 3 - 74b?
-748
In base 9, what is -283 + -20?
-313
In base 15, what is -1 - -13c?
13b
In base 4, what is -33 + 10312?
10213
In base 5, what is 10 + -10213?
-10203
In base 10, what is 3 + 16?
19
In base 8, what is 5 - 120?
-113
In base 12, what is 3 + 164?
167
In base 12, what is -23 + 4?
-1b
In base 7, what is 1013 - 5?
1005
In base 8, what is -5 - -771?
764
In base 9, what is 1 - 761?
-760
In base 12, what is -13 - 236?
-249
In base 16, what is c + 0?
c
In base 4, what is -3 + 1120?
1111
In base 8, what is -1111 - 0?
-1111
In base 6, what is 1 + -2?
-1
In base 2, what is -110010 + -101?
-110111
In base 2, what is 1010 + -1010011100?
-1010010010
In base 5, what is -4302 - 3?
-4310
In base 11, what is -3795 + -3?
-3798
In base 9, what is -2 + -12?
-14
In base 8, what is 23 - -351?
374
In base 7, what is 556 + -5?
551
In base 15, what is a9 + -5?
a4
In base 16, what is -3 - 52?
-55
In base 9, what is 7 - 80?
-72
In base 14, what is 9c - -31?
cd
In base 13, what is 853 + 3?
856
In base 12, what is -1 + -38b?
-390
In base 10, what is 44 - 212?
-168
In base 11, what is -1085 - 2?
-1087
In base 11, what is 6 - 285a?
-2854
In base 15, what is -10d - -3?
-10a
In base 5, what is -330 + 1?
-324
In base 16, what is 4 + fe?
102
In base 13, what is 171 + -25?
149
In base 9, what is -20 - -4?
-15
In base 15, what is 12 + 3?
15
In base 10, what is 1 + -23?
-22
In base 10, what is 1 - -65?
66
In base 5, what is 34 - 33?
1
In base 4, what is 201 + 3011?
3212
In base 16, what is 4 + 3c3?
3c7
In base 11, what is -1 - -31?
30
In base 11, what is 10a + 5?
114
In base 4, what is 2 + -1011320?
-1011312
In base 2, what is 101 + 1010101010?
1010101111
In base 9, what is -3 - -16?
13
In base 2, what is 100000010010 - -101?
100000010111
In base 13, what is 3 + -1c7?
-1c4
In base 14, what is -14 + -14b?
-161
In base 16, what is -301 + -3?
-304
In base 4, what is 0 + 1322?
1322
In base 16, what is 26 - 4?
22
In base 7, what is 4223 - -5?
4231
In base 13, what is b7 + -50?
67
In base 10, what is -4 + -11?
-15
In base 7, what is 4214 - -5?
4222
In base 10, what is -4 + -32?
-36
In base 11, what is 8 + 163?
170
In base 3, what is -12 + -212200?
-212212
In base 12, what is -2 + 445?
443
In base 8, what is 0 + 267?
267
In base 8, what is -717 - 3?
-722
In base 6, what is 303 - 5?
254
In base 10, what is -2 - 16?
-18
In base 5, what is -33 - -34?
1
In base 14, what is -41 - -4a?
9
In base 5, what is -341 - -3?
-333
In base 5, what is -11 + 3040?
3024
In base 2, what is -11 + 1010011101?
1010011010
In base 14, what is 197 + 3?
19a
In base 7, what is 63 + -301?
-205
In base 4, what is 310 - 1?
303
In base 13, what is 9c - 1?
9b
In base 9, what is -16 - -3?
-13
In base 16, what is -a - -7?
-3
In base 11, what is -23a + 4?
-236
In base 4, what is 10 + -1311?
-1301
In base 6, what is -212 + -2?
-214
In base 13, what is -9 - 2b?
-37
In base 4, what is 110131 + 0?
110131
In base 13, what is 2 - -316?
318
In base 12, what is -24 - -649?
625
In base 2, what is 11110100111 + 100?
11110101011
In base 2, what is 10010 - 11?
1111
In base 13, what is 12 + 1c?
31
In base 9, what is 51 + -4?
46
In base 7, what is -5 - 326?
-334
In base 11, what is 99 + 1?
9a
In base 12, what is -146a - -4?
-1466
In base 16, what is 2 - -226?
228
In base 12, what is 12 + 11?
23
In base 11, what | {
"pile_set_name": "DM Mathematics"
} |
+ -5715. Find the common denominator of -61/4 and l.
36
Let u = 133/12 - 43/12. Find the common denominator of 6/17 and u.
34
Let b = -82/7 - 123/14. Let v = 0 + 2. Calculate the common denominator of b and (v/12)/((-10)/174).
10
Suppose x + 4*r = -3, 3*x - 11 = -2*r - 0*r. Calculate the lowest common multiple of (-1)/6*2*-18 and x.
30
Let a(x) = -3*x + 59. Suppose 2*i + 10 = i. Let d = i + 18. What is the smallest common multiple of d and a(17)?
8
What is the common denominator of 89/8 and ((-17)/8 - -2) + (-3870)/(-880)?
88
Suppose 10 = x + 1. What is the least common multiple of x and 27?
27
Let g(f) be the second derivative of f**4/6 - 7*f**3/6 - f**2 - 3*f. Let w be g(6). What is the common denominator of -11/18 and 2 + (-38)/w - 2?
126
Suppose 5 = -q - 1. Calculate the least common multiple of 2 and (-86)/q - (-1)/(-3).
14
Find the common denominator of 121/10 and 9*((-33)/(-36) - 0).
20
What is the least common multiple of 5 and 1/(-9) + 715/117?
30
Suppose -5*w = -j - 5226, 7*j - 4*j + w = -15598. Let m = j + 26181/4. Let v = -1332 + m. What is the common denominator of v and -45/2?
4
Let p(s) = s**2 - s - 4. Let v = 5 + -5. Let h be p(v). Calculate the common denominator of -83/2 and ((-1)/h)/((-49)/(-1260)).
14
Let q(i) = 28*i**3 + i**2 - i. Let a be q(1). Suppose -5*w + 15 = 0, 0*w = -p - 2*w - 6. Calculate the smallest common multiple of 6 and a/(-6)*18/p.
42
Let j be (-2)/8 + 516/16. Let a = 46 - j. Calculate the smallest common multiple of (11 + -13)/((-2)/8) and a.
56
Let r(m) = 0*m - 4*m + 0*m + m**3 - m**2 - 1. Let u be r(3). Suppose -3*w - 64 = -u*n, w - 4*w = 5*n - 46. What is the smallest common multiple of 7 and n?
77
Suppose -5*m + 39 + 16 = -5*t, -2*m + 31 = -3*t. Let i(q) = -27*q + 39*q - q**2 - 22*q - 7. Calculate the lowest common multiple of i(t) and 10.
10
Let k(s) = 4*s**2 - 4*s - 4. Calculate the lowest common multiple of 18 and k(3).
180
Let t = 112 + -110. Suppose 24 = -4*v + 68. Calculate the least common multiple of v and t.
22
Let c = -8 - -12. Let s = -3 - -4. Suppose -p = -5*o - 11, -p - c*o + 3 = s. What is the smallest common multiple of p and 3?
6
Let b be ((-96)/(-28) + -3)*7. Suppose -4*r = -2*w - 30, -b*r + 7*r - 5*w = 33. Calculate the least common multiple of 6 and r.
42
Find the common denominator of 4/18 + 546/108 and 16/33.
198
Let o(z) = -z**2 - 9*z - 5. Let u be o(-7). Calculate the common denominator of ((-1)/u)/((-6)/639) and 47/2.
6
Let i be (1873/(-57))/(-2 - -3). Let y = i + 381/38. What is the common denominator of y and (17/(-18))/(-1) - 0?
18
Let o = 4 - -3. Let w = -4 - -8. Suppose 2*a - 3*a + w = 0. What is the least common multiple of o and a?
28
Let n = -106571336/89133 + 87420/73. Let b = n + -8/111. Find the common denominator of -137/6 and b.
66
Let l(t) = t**2 + 2*t + 7. What is the smallest common multiple of l(-3) and 6?
30
Let u(y) = y + 0*y**2 + 0*y + 4*y**2 + 1. Let g be u(-2). Let s = g - 6. Calculate the smallest common multiple of 1 and s.
9
Let x(c) = c**2 - 3*c + 1. Let p(l) = l + 20 + 9*l + 10*l**2 - l**3 - 6. Calculate the lowest common multiple of x(5) and p(11).
33
Let l = 2299/116 + 27/29. Calculate the common denominator of l and ((-4)/6)/(18/(-192)).
36
Let p = -2/409 + 61795/7362. Find the common denominator of p and 53/9.
18
Suppose 18 = 4*f - 62. Let a be (0 - 2)/(-1 - 0). Let x = a + 4. What is the smallest common multiple of x and f?
60
Find the common denominator of 95/8 and 5/(-4) - -1 - 110/(-16).
8
Let l(p) be the second derivative of p**5/20 - 5*p**4/12 - p**3/2 - p**2 - p. Let n be l(4). Calculate the common denominator of ((-20)/24)/(22/n) and 145/6.
66
Suppose -u - 2 = -3*m, 3*m - 2 = -u + 4*m. Calculate the least common multiple of 17 and u.
68
Let o = 1/202495 + -3704241041/1214970. Let k = -3059 - o. What is the common denominator of -63/4 and k?
12
Let k(t) be the second derivative of 5/6*t**3 - 3*t**2 + 0 + 2*t. Calculate the lowest common multiple of k(4) and 20.
140
Suppose 0 = 3*c + 6*c - 72. Suppose -m = 5*n - n - 36, 0 = 4*m - 16. What is the lowest common multiple of c and n?
8
What is the common denominator of (0 - 1) + (-60)/(-14) and 11/10?
70
Suppose -3*i = 5*h + 27 + 17, -i - 24 = 4*h. Let s be (i/(-12))/((-3)/9). Let j = 22 + s. Calculate the smallest common multiple of 4 and j.
20
Let u(p) = p**3 - 4*p**2 + 5*p - 4. Let r be u(4). Let a(g) = -6*g**2 - 4*g - 2. Let t be a(-2). What is the common denominator of 4/6 + r/t and -51/5?
45
Let n = -1 - -59. Calculate the lowest common multiple of 6 and n.
174
Let h = 1083/2 - 8603/16. Let k = 200705/18 - 11142. Calculate the common denominator of h and k.
144
Calculate the lowest common multiple of 25 and -6*(-2)/48 + (-22)/(-8).
75
Let m be (-16)/40 + (-105007)/16920. Let x = 8/423 - m. Find the common denominator of x and -79/10.
40
Suppose -86 + 31 = -5*a. Calculate the least common multiple of 3 and a.
33
Let q be 32793/10 - (-1 - 1). Let v = -3272 + q. Let l = 3581/222 + 26/37. What is the common denominator of l and v?
30
Let v be 1 + (-8139)/(-6) + 1. Let j = v + -1402. What is the common denominator of 11/(-12) + 0 + -1 and j?
12
Suppose -4*m = 2*g - 2340, 7*m = 3*m - 4*g + 2336. Let z = -11713/20 + m. Calculate the common denominator of 23/4 and z.
20
Let a = 1903 - 41881/22. Let b = -2477/876 - -30/73. What is the common denominator of a and b?
132
Let k be 15/(-6) + (-3)/(-2). Let p be -3 + 2 + (k - -2). Calculate the common denominator of 73/6 and p/(-6) + (-2)/(-9).
18
Let o(t) = 2*t**2 + t - 2. Let q be o(-2). Suppose q*a = w + 8, 2*a - 4 = -3*w - 2*w. Calculate the least common multiple of 9/3*(-12)/(-18) and a.
2
Find the common denominator of (-30 + 3)*3/6 and 97/2.
2
Let y(l) = -4*l + 4. Let r(d) = -2*d + 6. Let x be r(5). Let f be y(x). Suppose -v = v - f. Calculate the least common multiple of 11 and v.
110
Suppose 4*a - 2*d + 32 = -32, -d = 0. Let x = a - -22. Suppose x*v - 4 = 2*v. What is the least common multiple of 2 and v?
2
Let d(h) = -2*h**3 - 9*h**2 + 14*h + 7. Let b be d(-9). Let v = -1173/2 + b. What is the common denominator of v and 1 + 0 - 38/44?
22
Let v = -1 - -2. What is the lowest common multiple of 11 and v?
11
Suppose -4*p = 3*y + p - 45, -3*p + 19 = y. Calculate the common denominator of y*(24/33)/(-4) and -3/2.
22
Suppose -9 = -8*q + 7*q. What is the smallest common multiple of 30 and q?
90
Suppose 7*b + 12 = 9*b. Let n(j) = j**2 - 5*j - 10. Calculate the lowest common multiple of b and n(7).
12
Let s = 9341/2013 - 34/183. What is the common denominator of 37/8 and s?
88
Let a be 1487826/(-3928)*5/(-150). Let d = -2/2455 + a. What is the common denominator of 3/28 and d?
56
Suppose -67 = -5*o + 83. Suppose 5*y + 0*y = o. What is the lowest common multiple of 18 and y?
18
Suppose 8*n - 3*n = -490. What is the lowest common multiple of n/(-6) - 2/6 and (5/4)/((-13)/(-208))?
80
Let x = -37663/90 + 2096/5. Let g = -2/75 - 3071/150. What is the common denominator of x and g?
18
Let l = -349 + 354. What is the least common multiple of (-2)/(-3) + 25/3 and l?
45
Let r = 1441 - 4835/3. Let j = r - -751/6. Find the common denominator of j and 11/16.
16
Suppose -z - 9 = -4*z. Suppose 4*p - 3*p - 10 = o, -p = z*o - 2. Calculate the smallest common multiple of p and 7.
56
Suppose -2*q + 1 + 3 = 4*f, -5*f = -2*q + 13. Let s(m) be the first derivative of 2*m**2 - 4*m + 1. Calculate the smallest common multiple of 22 and s(q).
132
Let z = -2740 + 1396. Let m = z - -3985/3. What is the common denominator of m and -97/6?
6
Let o(v) = -1 - 10*v + 9 - v**2 + 3*v**2. Let w = -4 + 16. Calculate the smallest common multiple of o(6) and w.
60
Suppose 0 = 3*o - 0*o - 4*y - 14, 0 = o - 4*y + 6. What is the lowest common multiple of 4 and o?
20
What is the least common multiple of 18 and 31/4 - (-6)/24?
72
Let k(v) = -v**3 + 2*v**2 - 2. Let g be k(2). Let b be (g/68013)/(2/336246). Let a = b - 3/5038. Calculate the common denominator of a and -119/12.
36
Let i = 45259/12 - 3780. Calculate the common denominator of -43/18 and i.
36
Let u = 39577/360 + -2675/24. Let v be ((-1)/(-15))/((-18)/(-75)). Let o = v - u. What is the common denominator of o and -91/4?
20
Suppose -38 = -0*u - 2*u. Suppose -5 = -b, 2*s - u = s - 3*b. Calculate the lowest common multiple of s and 4 | {
"pile_set_name": "DM Mathematics"
} |
6*p
Collect the terms in -7*g**2 + 11*g**2 + 2*g**2 + 3*g + 0*g**2 - 5*g**2.
g**2 + 3*g
Collect the terms in o**3 - 2*o**3 - 10*o**3 + 13*o**3.
2*o**3
Collect the terms in -2*h**3 + 10*h - 24*h + 7*h + 7*h.
-2*h**3
Collect the terms in -9*u**3 - 3653*u**2 + 3653*u**2.
-9*u**3
Collect the terms in -4*p**2 + 28 + 57 - 85.
-4*p**2
Collect the terms in 0 - 6*r - 2 - 1.
-6*r - 3
Collect the terms in -8*m**2 - 18*m**2 + 28*m**2.
2*m**2
Collect the terms in -5*a**2 + 17*a**2 - 9*a**2 - 5*a**2.
-2*a**2
Collect the terms in 234*b**3 + 223*b**3 - 459*b**3.
-2*b**3
Collect the terms in -285*v**3 - 293*v**3 + 565*v**3.
-13*v**3
Collect the terms in 3*d + 0*d + 7*d.
10*d
Collect the terms in 15*y + 11*y + 7*y - 31*y.
2*y
Collect the terms in -34*z - 1751 + 1751 + 7*z.
-27*z
Collect the terms in 18736 - 18736 + 5*x.
5*x
Collect the terms in 6*g + g - 2*g - 4*g.
g
Collect the terms in -3 + 6 - i**2 - 10 + 7.
-i**2
Collect the terms in -3*q + 21*q - q.
17*q
Collect the terms in -39*j**2 - 38*j**2 - 40*j**2 + 148*j**2 - 40*j**2.
-9*j**2
Collect the terms in -529*q**2 + 1041*q**2 - 519*q**2.
-7*q**2
Collect the terms in -7*l**3 + 30*l**3 - 18*l**3.
5*l**3
Collect the terms in -1 + 4 + 0 + q.
q + 3
Collect the terms in 68*s**2 - 137*s**2 + 67*s**2.
-2*s**2
Collect the terms in -8*w**3 - 8*w**3 + 21*w**3 - 6*w**3.
-w**3
Collect the terms in -47*w**2 - 49*w**2 - 38*w**2 + 130*w**2.
-4*w**2
Collect the terms in 7*p - 8*p**2 - 7*p + 52*p**2.
44*p**2
Collect the terms in -18 - 3*d**3 - 6*d + 31 + 6*d.
-3*d**3 + 13
Collect the terms in -2*l - 5*l + 8*l + l.
2*l
Collect the terms in -2*a**2 - 8*a**2 - 3*a**2.
-13*a**2
Collect the terms in 6*m**2 - 26*m**2 + 5*m**2 + 10*m**2.
-5*m**2
Collect the terms in -3*b - 2*b + 2*b + b.
-2*b
Collect the terms in -22741*q + 11368*q + 11374*q.
q
Collect the terms in -224*j + 1 + 662*j - 1.
438*j
Collect the terms in 40*i**2 + 20*i - 37*i**2 - 20*i.
3*i**2
Collect the terms in 1 + 3 + 1 - 2 - 7*t.
-7*t + 3
Collect the terms in -2*t - 39 - 6*t + 39.
-8*t
Collect the terms in -5*n**2 + 2*n**2 + 0*n**2 + 4*n**2.
n**2
Collect the terms in -5*y**3 + 27*y**3 + 15*y**3.
37*y**3
Collect the terms in 63*k - 32*k - 34*k.
-3*k
Collect the terms in 3*d - 33 - 3*d + 2*d**2.
2*d**2 - 33
Collect the terms in -i + i + 21*i**3 - 17*i**3.
4*i**3
Collect the terms in j + 5*j - 12*j.
-6*j
Collect the terms in 24*r - 40*r + 46*r.
30*r
Collect the terms in 6*v**2 + 132*v + 2*v**2 - 132*v.
8*v**2
Collect the terms in 2 - 123*x**2 - 2 + 60*x**2 + 54*x**2.
-9*x**2
Collect the terms in 151*p**3 - 90*p**3 + 0 - 75*p**3 + 0.
-14*p**3
Collect the terms in -15*t**3 - 14*t**3 + 32*t**3.
3*t**3
Collect the terms in 4*m**2 + 7*m**2 + m**2 - 3*m**2.
9*m**2
Collect the terms in 2208 + a**2 - 1101 - 1107.
a**2
Collect the terms in -180*y + 102*y - 6*y.
-84*y
Collect the terms in -39*b**2 + 10*b**2 + 11*b**2 + 17*b**2.
-b**2
Collect the terms in -2*o + o - 5*o + 19*o - 4*o.
9*o
Collect the terms in 270268270*v - 270268270*v + v**3.
v**3
Collect the terms in l**3 + 26*l - 26*l - 4*l**3.
-3*l**3
Collect the terms in -22*v - 8 - 9 + 17.
-22*v
Collect the terms in 54*d**2 - 130*d**2 + 40*d**2 + 48*d**2.
12*d**2
Collect the terms in -455874*y + y**2 + 455874*y + 0*y**2.
y**2
Collect the terms in -5*y**2 + 6*y**3 + 5*y**2 + 0*y**2.
6*y**3
Collect the terms in -10*r**2 + 20*r**2 - r**3 - 10*r**2.
-r**3
Collect the terms in 166*i**2 - 166*i**2 - 13*i**3.
-13*i**3
Collect the terms in 118*v**3 - 59*v**3 - 60*v**3.
-v**3
Collect the terms in 109*l**2 - 105*l**2 + l - 34*l.
4*l**2 - 33*l
Collect the terms in 2*t - 5*t - 6*t - 3*t.
-12*t
Collect the terms in -137*s**2 - 6*s + 6*s.
-137*s**2
Collect the terms in -137 - 3*b**2 + 6*b**2 + 137.
3*b**2
Collect the terms in 6*n + 29 - 4*n - 29.
2*n
Collect the terms in -6 + 7 + 10*s - 7*s - 63.
3*s - 62
Collect the terms in -5 - 4 + 2*g + 9.
2*g
Collect the terms in 0 + 2*s**3 + 0 - 22*s**2.
2*s**3 - 22*s**2
Collect the terms in 2*q**3 - 2953*q**2 + 2953*q**2.
2*q**3
Collect the terms in -19*l**2 + 7*l**2 + 6*l**2.
-6*l**2
Collect the terms in -69*o**3 - 70*o**3 + 136*o**3.
-3*o**3
Collect the terms in 327*l - 661*l + 333*l.
-l
Collect the terms in -1 + 49*i + 97*i + 1.
146*i
Collect the terms in -3*k + 3*k + 14*k.
14*k
Collect the terms in 5*g**2 - 2*g**2 - g**2 + 0*g**2 - 9*g**3.
-9*g**3 + 2*g**2
Collect the terms in -40*c**3 - 43*c**3 + c**2 + 3*c**2 - 2*c**2.
-83*c**3 + 2*c**2
Collect the terms in 211 - 39*g**2 + 30*g**2 - 211.
-9*g**2
Collect the terms in -119*p + 3 + 70*p - 3.
-49*p
Collect the terms in 37*f**2 + 34*f - 34*f.
37*f**2
Collect the terms in -4*v + 76*v**3 + 4*v - 3 + 1.
76*v**3 - 2
Collect the terms in 170*i**2 - 39*i**3 - 170*i**2.
-39*i**3
Collect the terms in 7 + n**3 + 14 - 21.
n**3
Collect the terms in 196*a + 185*a - 382*a.
-a
Collect the terms in 0*w**3 - 7*w**3 + 32*w**3.
25*w**3
Collect the terms in -389 + 389 - 14*z.
-14*z
Collect the terms in -8*p**2 - 5*p + 11*p - 6*p.
-8*p**2
Collect the terms in 27*g**3 - 16*g**3 - 22*g**3.
-11*g**3
Collect the terms in -7*x**2 - 13*x + 35*x + 49*x.
-7*x**2 + 71*x
Collect the terms in -34*x**2 - 3 + 0 - 74*x**2.
-108*x**2 - 3
Collect the terms in -117*u**2 + 55*u**2 + 2 + 56*u**2 - 2.
-6*u**2
Collect the terms in -2*r**2 - 269114*r + 269114*r.
-2*r**2
Collect the terms in -2*k - 4142 + 4142.
-2*k
Collect the terms in -18*r + 27*r**3 + 36*r - 18*r.
27*r**3
Collect the terms in t - 42*t + 39*t.
-2*t
Collect the terms in 5*k**2 + 3*k**2 + 13*k**2 - 34*k**2 + 10*k**2.
-3*k**2
Collect the terms in -t - 3*t + 4*t - 13*t**3.
-13*t**3
Collect the terms in 40*l - 12*l - 59*l.
-31*l
Collect the terms in 6*v**3 + 8*v**3 - 31*v**3 + 9*v**3.
-8*v**3
Collect the terms in 10*s - 10*s + 7*s**2.
7*s**2
Collect the terms in -25*w**2 - 56 + 56.
-25*w**2
Collect the terms in 16 - 16 + 4*s**3 - 6*s**3.
-2*s**3
Collect the terms in 565818*w + 11*w**2 - 565818*w.
11*w**2
Collect the terms in 127*q - 133*q + 0 + 0.
-6*q
Collect the terms in -2*p - 3*p + 3*p - 10*p.
-12*p
Collect the terms in 3*b + 547750 - 547750.
3*b
Collect the terms in -5*c**3 - 189*c + 106*c + 83*c.
-5*c**3
Collect the terms in -195 + 4*c + 96 + 99.
4*c
Collect the terms in 10*h**3 + 55*h**3 - 64*h**3.
h**3
Collect the terms in -49*t + 1 + 327*t + 252*t.
530*t + 1
Collect the terms in 0 - 59*m**3 - 44*m**3 - 1.
-103*m**3 - 1
Collect the terms in -64*v**3 + 2*v - 2*v - 44*v**3.
-108*v**3
Collect the terms in -12*g - 41*g**3 + 12*g.
-41*g**3
Collect the terms in 0 - 5*d + 6 + 3 - 9.
-5*d
Collect the terms in 149 - 70 - 79 + 4*m.
4*m
Collect the terms in -41*d - 31*d + 106*d - 33*d.
d
Collect the terms in -19*f - 32*f - 13*f - 2*f.
-66*f
Collect the terms in 112*u - 112*u - 3*u**3.
-3*u**3
Collect the terms in 8*l**3 - 39*l**3 + 13*l**3 + 10*l**3.
-8*l**3
Collect the terms in -29*a**2 + 17*a**2 + 17*a**2.
5*a**2
Collect the terms in -4*j - 5*j + 38*j.
29*j
Collect the terms in 2*u**2 - 2*u**2 + 64*u + u**3.
u**3 + 64*u
Collect the terms in -2 + 2 - 34*l.
-34*l
Collect the terms in 5 - 5 - 6*r + 7*r + 0.
r
Collect the terms in -62*m**2 - 66*m**2 - 65*m**2 + 189*m**2.
-4*m**2
Collect the terms in 348*n**2 - 43 - 173*n**2 - 172*n**2 + 43.
3*n**2
Collect the terms in 4578*b + 2*b**2 - 4578*b.
2*b**2
Collect the terms in 3*y**2 + 570*y - 570*y.
3*y**2
Collect the terms in 3 + 16 - 16 - 3 - i.
-i
Collect the terms in 8*k**3 + 418441*k**2 - 418441*k**2.
8*k**3
Collect the terms in -2*a - 2*a**3 + 46*a + 0*a - a**3.
-3*a**3 + 44*a
Collect the terms in -w - 129*w**3 + w.
-129*w**3
Collect the terms in 6*u - 10*u + 7*u.
3*u
Collect the terms in 21*f**2 + 11*f**2 + 13*f**2 - 16*f**2.
29*f**2
Collect the terms in -1 + 5*n**3 + 2*n**3 - 2*n**3 - n**3.
4*n**3 - 1
Collect the terms in -8*a + 4 - 1 - 3.
-8*a
Collect the terms in -2*b + 13*b - 4*b - 5*b.
2*b
Collect the terms in 15*w**3 - 59*w + 59*w.
15*w**3
Collect the terms in -3048*q - q**2 + 3*q**3 + 3048*q.
3*q**3 - q**2
Collect the terms in -59 + 117*a + 59.
117*a
Collect the terms in 0*x**3 + 13*x**2 - 13*x**2 + 23*x**3.
23*x**3
Collect the terms in 77 - 77 - 5*q.
-5*q
Collect the terms in 10*a**2 - 717 + 717.
10*a**2
Collect the terms in 6 + 18 - 12 - 12 + 9*d**2.
9*d**2
Collect the terms in 9*l**3 - 11*l**3 + l - l.
-2*l**3
Collect the terms in 49*p - 69*p + 34*p.
14*p
Collect t | {
"pile_set_name": "DM Mathematics"
} |
*j = 3*b - 1347. What are the prime factors of b?
2, 3, 37
Let p be (-23)/7 - 4/(-14). Suppose 10 - 73 = -3*g. Let b = p + g. List the prime factors of b.
2, 3
Let q(w) = w**2 - 3*w - 19. List the prime factors of q(16).
3, 7
Suppose -6 = 3*v + 84. Let j be 18/15*v/9. What are the prime factors of j - -1 - 216/(-9)?
3, 7
Let d be (0 - 0) + -78 + 3. Let x be d/(-10)*(-2)/(-3). Suppose -3*v + 5*v + 4*o = 74, 119 = 2*v - x*o. What are the prime factors of v?
47
Let u = 8 - 6. Suppose 0*q = -u*q + 12. Let r = 10 - q. What are the prime factors of r?
2
Let q(v) = v**2 - 3*v - 3. Let o(b) = b. Let y be o(6). Let j be q(y). Suppose -4*u + 0*u + 2*f + 100 = 0, u - j = 3*f. What are the prime factors of u?
3
Let t = -53 + 53. Suppose f - 112 + 9 = t. What are the prime factors of f?
103
Let v(r) = 6*r**2 + r + 4. List the prime factors of v(6).
2, 113
Suppose 3179 + 1701 = 8*o. What are the prime factors of o?
2, 5, 61
Let d = -149 + 330. List the prime factors of d.
181
Let q(y) = y**3 + 5*y**2 - 3*y - 10. Let b be q(-4). Let c = 52 - b. List the prime factors of c.
2, 17
Let z(r) = -r**2 + 10*r - 21. Let w be z(4). Suppose 0 = 5*q - w*q - 174. List the prime factors of q.
3, 29
Let p(l) = 188*l**2 - 167*l + 6. What are the prime factors of p(-4)?
2, 7, 263
Let p(i) = i + 21. Let a(k) = k**2 - 9*k + 2. Let g be a(3). Let o be p(g). Suppose 2*u + 8 = 0, -102 = -o*r + u + 237. What are the prime factors of r?
67
Let l = 48 + 71. List the prime factors of l.
7, 17
Suppose v - 5*w = -44, -v - 2*w = w + 44. Let c = v + 85. List the prime factors of c.
41
Let h(k) = 6*k**3 + k**2 + k + 2. Let s = 3 + -1. Let x be h(s). Let u = -40 + x. What are the prime factors of u?
2
Suppose -3*t - 2*t = -5*x - 30, 0 = -4*x - 3*t - 38. What are the prime factors of x/(-6)*(-72)/(-2)?
2, 3
Let j(t) be the first derivative of 2*t**2 - 9*t + 1. What are the prime factors of j(4)?
7
Let i = -317 - -650. List the prime factors of i.
3, 37
Suppose 0 = -5*j - 102 - 48. Let r = 37 + j. What are the prime factors of r?
7
Let v be 34/119 - (-108)/14. Suppose -10*p + 16 = -v*p. List the prime factors of p.
2
Suppose 8*y = 9*y + 2. List the prime factors of ((-25)/y - 1) + (-3)/2.
2, 5
Let p be 62 - 0*(-2)/4. Let v = 26 - p. Let c = 59 + v. List the prime factors of c.
23
Let j(y) = 2*y - 1. Let k be j(2). Suppose 0 = -3*v + k + 15. What are the prime factors of 122/6 + 4/v?
3, 7
Let s = 12 - -4. Suppose 4*q - s = -0*q - 4*k, k - 6 = -2*q. List the prime factors of q.
2
Suppose 4*v = 2*l + 398, -v + 0*v + 2*l + 98 = 0. Suppose 4*n + 3 = 23. Suppose 0*u = n*u - v. What are the prime factors of u?
2, 5
Let w = 35 - 23. List the prime factors of 1/(w/(-8))*-63.
2, 3, 7
Let w = 18 - 9. Let l(o) = 6*o - 4. What are the prime factors of l(w)?
2, 5
Suppose 6*p = -0*p + 24. Suppose 616 = 4*f - p*c, 5*f + 3*c - 1039 = -293. What are the prime factors of f?
151
Suppose -4*n = 4*x - 16, 3*n = 5*x - 2*x. Suppose -19 = -3*y - 10, -304 = -s + n*y. What are the prime factors of s?
2, 5, 31
Suppose -3*x = 15, -5*x - 18 = -3*v + 520. Suppose 6*u + v = 9*u. Suppose -5*z + u = -93. List the prime factors of z.
2, 3, 5
Let z = 84 + -76. Suppose z*f - 248 = -0*f. List the prime factors of f.
31
Let t = 440 - -430. List the prime factors of t.
2, 3, 5, 29
Suppose 0 = -a + 3 + 1. Let o(m) = -5*m + 57. Let f be o(10). Let j = a + f. List the prime factors of j.
11
Let d(i) = -i**2 - i + 14. Let j be d(3). Let l be (-6)/(-4) + (-1)/(-2). Suppose 0 = -j*n - l*n + 84. List the prime factors of n.
3, 7
Let j be 4 - 48/3 - -2. Let b = -8 - j. Suppose -a - 6 = 2*a, 5*q + b*a = 21. List the prime factors of q.
5
Let a = 764 - 292. List the prime factors of a.
2, 59
Let v = -113 + 189. What are the prime factors of (v/2)/(2 + (-20)/12)?
2, 3, 19
Let p = 4250 - 862. List the prime factors of p.
2, 7, 11
Let k be 6192/312 + 2/13. Suppose 10*g = 5*g - k, -280 = -4*w + g. What are the prime factors of w?
3, 23
What are the prime factors of (-16)/3*(3 - 594/12)?
2, 31
List the prime factors of (3 - 7)/(((-12)/2313)/2).
2, 3, 257
Let y = -10 - -10. Suppose y = -2*j + j - 1. What are the prime factors of 20 + 2/j + -2?
2
List the prime factors of 42760/44 + 285/55 + -5.
2, 3
Suppose -15*n + 919 = -1856. Suppose g + n = 5*t - 1076, 20 = 5*g. What are the prime factors of t?
11, 23
Let k = 47 - 33. Let g = -15 + -5. What are the prime factors of 60/k + g/70?
2
Suppose 0 = 30*i - 40*i + 5070. List the prime factors of i.
3, 13
Let i(n) = -2*n - 19 - 1 - n - n. Let x(r) = r + 7. Let z(l) = 3*i(l) + 8*x(l). List the prime factors of z(-9).
2
Suppose 0 = -8*z + 50*z - 92736. List the prime factors of z.
2, 3, 23
Suppose -g - 5*o - 3 + 5 = 0, 5*g - 10 = -4*o. What are the prime factors of g + (-526)/(-10) - 9/15?
2, 3
Let f(q) = q + 8. Let j be f(-5). Let g(i) = -i**3 - 5*i**2 - i - 1. Let x be g(-5). Suppose 16 = x*u + b, -u = b + b + j. List the prime factors of u.
5
Suppose 0 = 93*x - 54*x - 113451. List the prime factors of x.
2909
What are the prime factors of (1 + 65)/((-6)/(-48))?
2, 3, 11
Let n = -5 + 10. Let z(y) = -n*y**2 + y - 3*y**3 + 5 + 2*y**3 - 10. What are the prime factors of z(-6)?
5
Let z(s) = 4*s - 13. Let g be z(-4). Let j = 59 - g. What are the prime factors of j?
2, 11
Let z(q) = -q**2 + 3*q. Let n be z(2). Suppose n*g + 11 = -23. Let d = g - -34. List the prime factors of d.
17
Suppose 0*x + 282 = 3*x - 3*o, 4*o + 285 = 3*x. List the prime factors of x.
7, 13
Let q(b) be the first derivative of b**4/4 - 2*b**3 + 8*b + 4. Let g be q(6). Let n = g + 19. List the prime factors of n.
3
Let g = 60 + -33. What are the prime factors of g - ((1 - -2) + -2)?
2, 13
Let k be -17 + 1 + 2 + -2. List the prime factors of 14*(4/k*6 - -3).
3, 7
Let s(z) = 324*z**2 + 2*z + 1. What are the prime factors of s(-1)?
17, 19
Suppose -3*n - 4*p = -14182, -n = 2*n + 3*p - 14178. What are the prime factors of n?
2, 3, 787
Let r(t) = -t**3 - 5*t**2 + 7*t + 6. Let o be r(-6). Suppose o = 3*l - 8*l - 5. List the prime factors of l/1 - (-20 + 0).
19
Let p(u) be the first derivative of -u**4/4 + 10*u**3/3 + 7*u**2 - 17*u + 6. List the prime factors of p(11).
2
Let n(k) be the second derivative of 5*k**3/6 + k**2/2 - 2*k. Let u be 5*(-3)/(-9)*3. List the prime factors of n(u).
2, 13
Let m(k) = k**3 - 17*k**2 + 26*k - 60. What are the prime factors of m(22)?
2, 733
Let u = -114 + 267. What are the prime factors of u?
3, 17
Let j(x) = x + 4. Let k be j(-2). List the prime factors of (-9696)/(-120) - k/(-10).
3
Let p(r) = 3*r**2 + r + 9. Let y be p(5). Let u = y + -39. List the prime factors of u.
2, 5
Suppose -n + 6 = 4*w - 27, 50 = 5*w + 3*n. Suppose -15*v + 296 = -w*v. List the prime factors of v.
37
Let v be (40/18 - 2) + 318/27. What are the prime factors of ((-188)/3)/((-8)/v)?
2, 47
Let r(w) = -w + 1. Let l(g) = -7*g - 6. Let u(n) = -7*n - 7. Let o(z) = -6*l(z) + 5*u(z). Let s(y) = -o(y) - 2*r(y). What are the prime factors of s(-3)?
2, 3
Let c(o) = 8*o**2 + 20*o - 120. List the prime factors of c(10).
2, 5, 11
Let n(w) = w + 5. Let g be n(0). Suppose 0 = -0*s - g*s + 30. Suppose 0 = -h + 15 + s. What are the prime factors of h?
3, 7
Suppose -3*p = -4 - 2. Suppose -2*t = -t - 2*f - 33, -p*t + f = -57. What are the prime factors of t?
3
Let l = 287 + 1017. What are the prime factors of (5/(-20)*1)/((-2)/l)?
163
Let j(u) = 6*u**2 - 4*u + 35. What are the prime factors of j(-5)?
5, 41
What are the prime factors of 602691/395 + (-12)/(-10)?
3, 509
Suppose -4*m = -98 - 98. Suppose -50*w + 51*w = m. What are the prime factors of w?
7
Let t = -8 - -9. Let k(n) = 14*n**3 + n**2 - 1. List the prime factors of k(t).
2, 7
Suppose 0 = 3*c + 5*f - 4 - 6, 0 = 2*c + f - 2. Suppose 4*n - i = 684, 0 = -c*n - 2*n + 3*i + 352. List the prime factors of n.
2, 5, 17
Suppose r + 2*i = 3864, -3*r = -i - 2904 - 8716. What are the prime factors of r?
2, 11
Let o be (-332)/(-3) + (-4)/(-3). Let z = 182 - o. List the prime factors of z.
2, 5, 7
Suppose -4 = -0*d + d, w = 4*d + 21. Suppose -3*c = 3*g + 3, 5*c - 3*c - w*g - 26 = 0. Suppose -c = 3*h + 3, 0 = -2*o - 3*h + 36. List the prime factors of o.
3, 7
List the prime factors of 7/35 - (-2894)/5.
3, 193
Let q(t) be the third derivative of -t**6/240 + t**5/60 - 7*t**4/24 - 2*t**2. Let y(g) be the secon | {
"pile_set_name": "DM Mathematics"
} |
027
Suppose -5*m = -3*m - 40. Suppose -4*z - z + m = 0. Suppose -3400 = -z*n + 2*n. Round n to the nearest one thousand.
2000
Let s = 15 + -15.0013. Round s to four decimal places.
-0.0013
Let b be (134/6)/(1/9). Suppose s - b = 4*s. Round s to the nearest ten.
-70
Let g(d) = -86987*d**2 - 2*d + 2. Let n be g(2). Let l = n - -587960. Suppose i + l = 4*i - 5*h, -5*h = -i + 80010. Round i to the nearest 10000.
80000
Let t = 55.1548 + 1.7492. Let b = t - -0.096. Let n = -57.0031 + b. Round n to 3 decimal places.
-0.003
Let k(g) = -g**3 - 7*g**2 - 8*g - 9. Let j be k(-6). Suppose 217292 = j*c - 91708. What is c rounded to the nearest ten thousand?
100000
Let o be (-40)/6 + (-2)/(-3). Let f be 4/o - 22/3. Round f to the nearest 10.
-10
Let k = 119281725.9 + -119361068.90056. Let s = -79340 - k. Let i = s - 3. Round i to 4 decimal places.
0.0006
Let f = 249745916.99999982 + -249745920. Let v = -3 - f. What is v rounded to seven dps?
0.0000002
Let i(f) = f**3 + f**2 + 1. Let q(d) = -3*d**2 - d - 3. Suppose 9 + 3 = 4*c. Let k(o) = c*i(o) + q(o). Let a be k(-1). Round a to the nearest ten.
0
Let m = 112015640952002.0000034 - 112015574499506. Let s = 66452502 - m. Let a = s - 6. Round a to 6 dps.
-0.000003
Let k = -28341922.2999954 + 28341918. Let t = k - -4.3. What is t rounded to 6 dps?
0.000005
Let f = 278 - 278.1304. Round f to 2 dps.
-0.13
Let a be ((-18)/(-27))/(2/(-6)). Let d be 30/(a/((-42400)/6)). Round d to the nearest 10000.
110000
Let v = -707 + 638.2. Let x = 76 + v. Round x to the nearest integer.
7
Suppose h + 3*h = 89898224. Suppose 4*u - h = 90325444. Suppose -2*z + u = z. What is z rounded to the nearest one million?
9000000
Let v = 80 - 74.9. Let q = 5 - v. Let b = q - -0.1000003. What is b rounded to 6 decimal places?
0
Let g(q) = -63*q**3 + 11*q**2 + 9*q + 15. Let i be g(-7). What is i rounded to the nearest one thousand?
22000
Suppose 2*m - 79992 = -2*m. Suppose -k + m = -5*u, 3*u - k + 11992 = 3*k. Round u to the nearest 1000.
-4000
Suppose 3*x + 0*x - 12 = 0, -3*m = -x + 34. Let i(o) = -234001*o**2 - 10*o. Let r be i(m). What is r rounded to the nearest 1000000?
-23000000
Suppose 107000 = -z + 6*z. What is z rounded to the nearest 1000?
21000
Let q = -501 + 500.9733. Let r = q + 0.024. Round r to three dps.
-0.003
Let v = 78.452758033 + 1.547249867. Let r = -80 + v. Round r to six dps.
0.000008
Let w = -1.5 - -0.5. Let n = -0.5348 - 0.4656. Let y = w - n. Round y to four decimal places.
0.0004
Let b = 0.485 - 0.5. Let v = 0.96 - 0.889. Let p = v - b. What is p rounded to two dps?
0.09
Let n(m) = 2563*m**3 + 12*m**2 - 7*m + 9. Let q be n(9). Suppose -q = -5*h + 330655. What is h rounded to the nearest 100000?
400000
Let f = 47793 - 47786.9998. Let a = 6 - f. Round a to three decimal places.
0
Let v = 0.08546 + 7.10054. Let l = v + -7.1. Let b = -6.714 - l. Round b to zero decimal places.
-7
Let b be ((-50)/15)/(6/9). Let y(v) = -v + 72*v**2 + 0*v**2 - 5 + 48*v**2. Let t be y(b). What is t rounded to the nearest 10000?
0
Suppose 2*b + 3*b + v = 1755000, -2*v = -4*b + 1404000. Round b to the nearest 10000.
350000
Suppose 5*t = 3*v - 1995000, -2*v = -2*t + 3*t + 399000. What is t rounded to the nearest 10000?
-400000
Let g = -127 + 126.99999844. What is g rounded to seven decimal places?
-0.0000016
Let t = 223 + -223.0137. What is t rounded to 3 decimal places?
-0.014
Let f = -137 - -136.99999965. Round f to 7 decimal places.
-0.0000004
Let i(v) = -4*v + 3. Let k be i(2). Let w(b) = -17*b**2 + 7*b. Let p be w(k). What is p rounded to the nearest 100?
-500
Let f = 0.5 - 14.9. Round f to zero dps.
-14
Let v(j) = -j - 3. Let d be v(-8). Suppose w = -6*x + 4*x + 138, 315 = d*x - 5*w. What is x rounded to the nearest 10?
70
Let n = -0.2047 - 0.0543. Round n to 2 decimal places.
-0.26
Let q = 196 - 195.9999757. Round q to 6 dps.
0.000024
Suppose 4*q = -2*w - 0*q + 3380012, 3379994 = 2*w - 2*q. Round w to the nearest one million.
2000000
Let a = -9529096453334 - -9529102568911.700039. Let j = -6115575 + a. Let b = -2.7 + j. Round b to 5 decimal places.
0.00004
Let n(l) = -3588*l**3 - 4*l**2 - 6*l + 1. Let k be n(4). Let b = k - 36772. Let w = b + 726491. What is w rounded to the nearest one hundred thousand?
500000
Suppose 0 = -3*s + 4*b - b - 2249991, 3*b = 2*s + 1499991. Round s to the nearest 100000.
-800000
Suppose -4*w - 8 = 4*s, 3*s - 2*w + 0 = -6. Let v be s/3 - 1085536/(-6). Let o = v + -98922. What is o rounded to the nearest ten thousand?
80000
Let o be -8750*((2000 - -2) + -2). What is o rounded to the nearest 1000000?
-18000000
Let f = -2137.51 + -20.49. Let a = 2260.1 + f. Let o = a - 107. What is o rounded to zero dps?
-5
Let w = -109 + -21. What is w rounded to the nearest 100?
-100
Suppose -760000 = -0*o + 4*o. What is o rounded to the nearest 100000?
-200000
Let o = 291.9999722 - 292. What is o rounded to six dps?
-0.000028
Suppose c + 0*c + 6400000 = 0. What is c rounded to the nearest 1000000?
-6000000
Let s = 0.7 - 0.70063. Round s to 4 decimal places.
-0.0006
Let l = 0.107 - 0.772. Let v = -0.31 + l. Let x = 0.085 + v. Round x to one decimal place.
-0.9
Let j be (-7)/28 - 52193/(-4). Suppose -5*a = 131952 + j. Round a to the nearest ten thousand.
-30000
Let y = 2.8 + -3. Let o = y + -28.8. Let n = o - -29.0055. What is n rounded to 3 dps?
0.006
Let p = 0.8 - 2. Let k = p - -1.19932. Round k to four decimal places.
-0.0007
Let h = -2013 + 773. Round h to the nearest 100.
-1200
Let i = 11 - 11. Suppose i*k = -3*k + 3*y + 284988, 4*y = 16. What is k rounded to the nearest ten thousand?
100000
Let f = -5 + 7. Let w = f - -3. Suppose 0 = w*a + 541078 - 1291078. What is a rounded to the nearest 100000?
200000
Let l = -56 - -56.00000168. Round l to seven dps.
0.0000017
Let h = 17.9015 + -18.6. Let y = -0.7 - h. What is y rounded to 3 decimal places?
-0.002
Let o = 23 - 24.7. Let a = 1.7003 + o. What is a rounded to four dps?
0.0003
Let y = -0.077 - 16.423. Round y to zero dps.
-17
Let s = -6.3 - -6.2999928. Round s to 5 dps.
-0.00001
Let x = 42 - 41.9999972. What is x rounded to 6 decimal places?
0.000003
Let i = -185 + 184.999999794. What is i rounded to 7 decimal places?
-0.0000002
Let g be -6450*((-2400)/(-9) - 0). What is g rounded to the nearest one hundred thousand?
-1700000
Let t = 46.999982 + -47. Round t to 5 dps.
-0.00002
Let n = 0.41 - 0.07. Let d = -0.3399915 + n. Round d to 6 dps.
0.000009
Let r = -0.1 - 2.9. Let m = -3.2 - r. Let o = m + 0.16. What is o rounded to one decimal place?
0
Let i(v) = -4179*v**2 - 8*v - 4. Let y be i(4). Round y to the nearest one thousand.
-67000
Let d = 5 + -4. Let o = 1.04 - d. What is o rounded to one dp?
0
Suppose 4*g + 5*i - 2*i = 32, -i + 4 = 0. Suppose -3*x + 15 = -0, g*z + 3*x = 2300015. Round z to the nearest one hundred thousand.
500000
Let h = 0.0783 - 0.094. Round h to three dps.
-0.016
Let f = -0.1794596 - -0.41045791. Let q = f - 0.231. Round q to 7 decimal places.
-0.0000017
Let i = 3454.531 - 3456. Let m = -0.401 + i. Round m to one decimal place.
-1.9
Let s = -109 + 200. Let a = 90.959 - s. Round a to 2 dps.
-0.04
Let h = 18.650001011 + -18.65. What is h rounded to seven dps?
0.000001
Let g(m) = 45715*m + 5. Let s be g(-7). What is s rounded to the nearest one hundred thousand?
-300000
Let w = -1.59999975 - -1.6. What is w rounded to seven dps?
0.0000003
Let z(d) = d + 10. Let v be z(-7). Suppose 2*x + 228 = -924. Let i be ((-5)/v)/(3/x). Round i to the nearest 100.
300
Let y = -0.7 + -0.1. Let u = -0.2 - y. Let v = u + -0.6000015. What is v rounded to 6 dps?
-0.000002
Let x = 2.99 - 3. Let m = -0.4 - -0.44. Let q = x + m. What is q rounded to two decimal places?
0.03
Suppose 0 = -8*r + 3*r. Suppose r*p = -3*p - 1710000. What is p rounded to the nearest 100000?
-600000
Let w = 3459060.1 + -3459059.45779452. Let l = 0.0422062 - w. Let f = l - -0.6. What is f rounded to seven dps?
0.0000007
Suppose 0 = -0*h - 4*h - 4. What is h rounded to one decimal place?
-1
Let d = -0.045 + 116.045. Let r = 115.03 - d. What is r rounded to one decimal place?
-1
Suppose 0 = 2*w + 266 - 90. Round w to the nearest 10.
-90
Let k = -696.5175 + 706.5. Let z = k - 10. Round z to 3 decimal places.
-0.018
Let t = -5.6011 - -5.476009. Let c = 3.5 - 3.375. Let d = c + t. Round d to five de | {
"pile_set_name": "DM Mathematics"
} |
-r = q. What is the units digit of u?
2
Suppose -b + 16 - 3 = 0. Let v = 18 - b. Let n(q) = -q**3 + 6*q**2 + 6*q + 4. What is the units digit of n(v)?
9
Suppose 11*c - 12 = -4*w + 7*c, 0 = -5*w - 4*c + 12. Let f(k) = -2*k**2 + 54. What is the tens digit of f(w)?
5
Let t(k) = 35*k**3 + 3*k**2 - k + 5. Let b(l) = 106*l**3 + 9*l**2 - l + 14. Let i(c) = 2*b(c) - 7*t(c). What is the hundreds digit of i(-3)?
8
Suppose -3*d - 411 = -3*m, -2*m - 412 = 3*d - 6*m. Let h = -90 + -138. Let i = d - h. What is the units digit of i?
2
What is the units digit of 1322946/50 + -4 - (10 + (-2520)/250)?
5
Suppose l - 3 = -0. Let y be 24/16*(-16)/(-6). Suppose 7*m = 4*p + y*m - 811, 2*m - 621 = -l*p. What is the tens digit of p?
0
Suppose -l - 3415 = -5*r, -896 - 1837 = -4*r + l. Let w = 1328 - r. What is the hundreds digit of w?
6
Let c(a) = a**3 - a**2 + a - 4. Let l be c(2). Suppose -m = 2*i - 71 - 90, l*m = 4*i + 322. Let g = 237 - m. What is the units digit of g?
6
Suppose 7*i + 2*i - 43361 = 18190. What is the hundreds digit of i?
8
What is the hundreds digit of (4*(-1 - 36/(-40)))/(2/(-37970))?
5
Suppose -8*i = -0*i - 79784. What is the thousands digit of i?
9
Let c(y) = 2*y**3 - 2*y**2 + 6. Let v be c(3). Suppose v*q + 588 = 45*q. What is the hundreds digit of q?
1
Let o(q) = 279*q**2 + 35*q + 1. Let k be o(6). Suppose 18*w - k = 5927. What is the hundreds digit of w?
8
Suppose 3*w = -4*k + 120, 6*k - 13 = 5*k - 5*w. Suppose 0 = 27*q - k*q + 7704. What is the hundreds digit of q?
2
Let z(u) be the first derivative of 4/3*u**3 + 16 - 25/2*u**2 - 27*u. What is the units digit of z(11)?
2
Suppose 0 = -4*x - 4*i - 185 + 553, 5*i + 395 = 4*x. Suppose 0 = -4*c + x + 137. Let g = c + -25. What is the units digit of g?
3
Suppose 0 = k + 4*j - 7827, -8788 = -2*k + 3*j + 6899. What is the tens digit of k?
3
What is the tens digit of (3 - -2) + (1612*4)/2?
2
Let z = 27 - 3. Suppose z*h - 28 = 17*h. Suppose 0 = 4*s + 2*j - 0*j - 152, -h*j = -4*s + 176. What is the tens digit of s?
4
Let y(l) = 46*l**3 + 7*l**2 + 5*l - 37. What is the hundreds digit of y(5)?
9
What is the hundreds digit of (-14 + 111/6)*35764/9?
8
Suppose -108036 + 357133 = 5*u + 2*q, 4*q = u - 49837. What is the ten thousands digit of u?
4
Let f = 1924 - 1914. Let o = 2119 - 869. Suppose 0 = -f*m + 15*m - o. What is the hundreds digit of m?
2
Suppose 26*c + 19*c + 1279684 = 73*c. What is the units digit of c?
3
Suppose c = 4*a - 1557, a + a - 765 = 5*c. Suppose 1928 = 5*s + 4*p, 0 = 6*s - 5*s + 3*p - a. What is the tens digit of s?
8
Let j(a) = 4*a - a**2 + 0 + 0*a + 2*a - 2. Let l be j(8). What is the tens digit of 66/l*9*-3?
9
Let i(x) = 64*x - 6. Let y(z) = -47*z + 9. Let q(k) = 23*k - 4. Let a(b) = 15*q(b) + 6*y(b). Let o(m) = -4*a(m) + 5*i(m). What is the hundreds digit of o(2)?
1
Let w(c) = 67*c - 73. What is the tens digit of w(16)?
9
What is the thousands digit of (-278320)/(-28) + (-4 - 4)?
9
Let x(w) = -4*w**3 - 12 + 3*w**3 + 8 + 4*w + 7*w**2 - 8. Let l be x(7). Suppose -275 = 11*o - l*o. What is the units digit of o?
5
Suppose 14*y + y = 0. What is the units digit of 24 + (y - (-5 - -6))?
3
Let z(k) = -7*k**3 + 5*k**2 + 5*k + 11. Let q be z(4). Let p = q + 570. What is the hundreds digit of p?
2
Let u = 1167 + -564. Let w = u + -277. Suppose 38*o + w = 40*o. What is the units digit of o?
3
Let u = 504 + -397. Let z = 627 - u. What is the tens digit of z?
2
Let g be (28/70)/(1/5 - 0). Suppose -g*a - 49 = -4*r + 3*a, 0 = 2*a + 10. Suppose -r*w - w = -1197. What is the units digit of w?
1
Let k(u) = 1954*u - 2541. What is the thousands digit of k(10)?
6
Let n be 72/10 - (-1)/(-5). Suppose 0 = -q - n + 5. What is the tens digit of q - (-94 + 0 - -4)?
8
Let c(d) = 31*d - 1. Let l be c(1). Let t = l + -23. Suppose 2*y = t*y - 220. What is the tens digit of y?
4
Let a = 19889 - -4191. What is the hundreds digit of a?
0
What is the ten thousands digit of (2 - 6519/(-6))*216/21 + -3?
1
Let q be (-3 + 2)/(2/10). Let v(a) = 20*a - 38. Let u(z) = 60*z - 104. Let n(y) = -5*u(y) + 14*v(y). What is the units digit of n(q)?
8
Let y(o) = 9*o - 24. Let g = 110 + -81. Let p = g - 5. What is the hundreds digit of y(p)?
1
Suppose -p + 102 + 596 = -v, 2790 = 4*p - 3*v. Suppose -86*i = -85*i - p. What is the tens digit of i?
9
Let d(j) = 363*j - 5. Let i(m) = -m - 2. Let y be i(-3). Let n be d(y). Suppose 2*f = 4*h - f - 494, n = 3*h + 4*f. What is the tens digit of h?
2
Suppose 3*y = 7 + 17. Let p be 44/66 - (-22)/(-6). What is the tens digit of 6/y*(-1148)/(p - 4)?
2
What is the hundreds digit of (235272/(-10))/(452/(-565))?
4
Let q = 4649 - 661. Suppose q + 4201 = 19*l. What is the hundreds digit of l?
4
Let n = 82 - 40. Let g = -15 + 16. Let m = n + g. What is the units digit of m?
3
Suppose 21 = 3*i + 3. Suppose 4*u = c - i*c + 3909, -c + u = -780. What is the tens digit of c?
8
Suppose -5*d + 3*n = n - 19, 0 = 5*d + 2*n - 11. Let a be (-26)/(-8) - (-2)/(-8). Suppose -4*o = -d*s - 171, 0*s - a*s = o - 39. What is the tens digit of o?
4
Let m(p) = -9*p**3 - 20*p**2 + 99*p + 2027. What is the units digit of m(-17)?
1
Suppose 17*f = -4659 - 4878. Let t = 95 - f. What is the hundreds digit of t?
6
Let h(z) = -180*z + 47. Let d(i) = i**3 - 9*i**2 + 8*i - 2. Let n be d(8). What is the hundreds digit of h(n)?
4
Suppose -4*n = 2*w - 852, 16 = -2*w + 6*w. Suppose -r - n = -o, -3*r + 879 = 23*o - 19*o. What is the tens digit of o?
1
Let s(h) = h**3 + 24*h**2 + 29*h + 34. Let o be s(-20). Suppose -7*z = -997 - o. What is the hundreds digit of z?
2
Suppose -5*s + 8*s = -3*l + 1110, -12 = -4*l. Let y = 452 - s. What is the tens digit of y?
8
Let j be -6*(369/2)/(-9). Suppose -5*v - j = 567. Let k = v + 221. What is the tens digit of k?
8
Let b be 14/21*1*33. What is the units digit of 3/((-9)/(-1446)) + (18 - b)?
8
Let w(f) = 3*f**2 - 16*f + 15. Let h(u) = u**2 + u - 1. Let m(x) = 2*h(x) + w(x). What is the hundreds digit of m(6)?
1
Let m(n) = -n**3 + 19*n**2 - 2*n + 42. Let k = -51 - -70. Let j be m(k). Suppose -3*z = -2*h + 10, 24 = j*h - z - 6. What is the units digit of h?
8
What is the tens digit of 2 + 5 - (-5143 + (5 - 11))?
5
Let d = 38 + -38. Suppose 32*c - 31*c - 84 = d. What is the units digit of c?
4
What is the hundreds digit of (336/4)/(149/2384)?
3
Let n = 5531 + -2787. Suppose -j + 684 = 2*q, -4*j - q + n = 3*q. What is the units digit of j?
8
Suppose 2*k - 24 = k + 4*a, 4*k = 5*a + 63. Suppose 34 = -5*v - k*v. What is the hundreds digit of (365/v)/(-5)*(2 - -2)?
1
Let a(t) = -t**2 + 4*t + 23. Let g be a(-3). Let s(f) = -3 + 4 + 1 + 6 + 14*f. What is the tens digit of s(g)?
3
What is the units digit of 11*(-5314)/(-18)*9?
7
Let h(c) = 6*c**2 + 46*c + 804. What is the hundreds digit of h(-13)?
2
Suppose -8*a + 6*a + 2574 = -2*c, 6433 = 5*a - 4*c. What is the tens digit of a?
8
What is the units digit of (-398052)/(-324) - -2*(-2)/(-9)?
9
Suppose 3*w + 5*v = 98, 3*w + 4*v - 86 = 2*v. Let n be 74/(-10) - w/(-65). Let m(l) = -31*l - 1. What is the units digit of m(n)?
6
Suppose -14*w + 46590 = -10*w + 5*a, -16*w + 186258 = 3*a. What is the ten thousands digit of w?
1
Let j(a) be the second derivative of 5*a**3/6 + 7*a**2/2 - 329*a. Suppose -4*r + 62 = -c, -4*r - 4*c = -13 - 59. What is the units digit of j(r)?
7
Let i be -3*(2/(-4) + (-1)/6). What is the tens digit of 24/(-48) - (-735)/i?
6
Let n(r) = -78*r - 284. Let z be n(-4). Let h = -7 - -96. Let g = h - z. What is the tens digit of g?
6
Let g(w) = 118*w + 4874. What is the hundreds digit of g(0)?
8
Let o(c) be the third derivative of 82/3*c**3 + 0*c + 0*c**5 + 0 - 1/120*c**6 + 16*c**2 - 1/24*c**4. What is the units digit of o(0)?
4
Suppose 43 - 15 = 2*u. What is the hundreds digit of (-6)/u - (-14100)/70 - 2?
1
Suppose 3*u + 2*w = -525 + 30671, w = 2*u - 20102. What is the units digit of u?
0
What is the units digit of (8/(-56))/(10/(-3267530))?
9
Suppose q = -y + 1052, y = -0*y - 4. Let g = q + -629. What is the hundreds digit of g?
4
Suppose -2*i + 4*l + 7716 = 0, -4131 + 23410 = 5*i + l. What is the thousands digit of i?
3
Let x = -45 + 47. Let k(i) = 8 + 85*i**x - 90*i**2 - i**3 + 0*i**3. What is the tens digit of k(-7)?
0
Suppose 4*a + 39*z - 45*z - 140234 = 0, 5*z = -4*a + 140311. What is the units digit of a?
9
Let o(h) = h**2 - 3*h - 53. Le | {
"pile_set_name": "DM Mathematics"
} |
a prime number?
True
Suppose 0 = -5*n + o + 1652, -2*n + 1640 = 3*n - 5*o. Is n composite?
False
Let i(q) = 367*q**2 + q - 1. Let k be i(-2). Suppose 5*l = -0*l + k. Is l prime?
True
Let v(m) = 18*m**3 - m + 2. Is v(3) a prime number?
False
Let c = -279 + 578. Is c a prime number?
False
Let y be (-6)/4 - 27/(-6). Suppose 135 - 993 = -y*z. Suppose -5*n = -z + 21. Is n a prime number?
True
Suppose b + 36 = 4*i - 3*b, -i + 13 = -2*b. Let q(n) = 11*n - 4. Is q(i) composite?
True
Let f = 15 + -10. Suppose -7*y + f*y = -74. Is y a composite number?
False
Let x(r) = 4*r**2 - 8*r + 5. Is x(4) composite?
False
Let a(f) = -f - 7. Let w(m) = 6*m + 2. Suppose -6 - 2 = 4*t. Let k be w(t). Is a(k) a prime number?
True
Let t = -7 + 7. Suppose 0 = -3*a - 5*x + 137, t = 5*a + x + 5 - 248. Is a composite?
True
Suppose 0 = -4*j + 3*y + y - 28, 3*y = -j + 1. Let b(s) = -2*s**3 - 3*s**2 - 5*s + 3. Is b(j) a prime number?
False
Let y be (5/4)/((-5)/(-20)). Suppose y*o - 130 = -2*t + 57, 2*o + t = 75. Is o a prime number?
True
Suppose -4*q - 3*x + 193 = 0, 0 = -3*q - x + 185 - 44. Is q prime?
False
Suppose 1785 = 4*p + 269. Is p a prime number?
True
Suppose -30 = -4*p - 2*i, -2*p + 5*p + 2*i - 25 = 0. Suppose -4*n = 3*f - 8, 0 = -f + p*n + 9. Suppose 0 = f*x - 4*v - 171 - 129, 2*x - v - 152 = 0. Is x prime?
False
Let l(g) = -g**3 - 6*g**2 + 5*g + 8. Let a = -5 + -2. Is l(a) prime?
False
Let g(m) be the second derivative of m**4/3 - 11*m**3/6 + m**2/2 - 3*m. Let z(v) be the first derivative of g(v). Is z(8) composite?
False
Suppose -2*m + 5*b - 4 = 0, 2*m + b = 2*b + 4. Suppose 0 = -2*q - m*l - 118, -q = 2*q - 2*l + 177. Let c = -38 - q. Is c composite?
True
Let x(u) = 33*u - 11. Is x(18) composite?
True
Let p(x) = -110*x + 21. Is p(-5) a composite number?
False
Suppose -1 = k - 2, -k - 1100 = -3*a. Is a prime?
True
Let n(r) = 82*r**2 - r + 2. Let g(l) = l**2 + l. Let j(h) = 2*g(h) + n(h). Is j(-1) composite?
True
Suppose 0*n - 4*n = 436. Let u = n - -304. Suppose -3*c = 2*c - u. Is c prime?
False
Suppose 4*j - 2217 = -x - 0*x, x + 2760 = 5*j. Is j prime?
False
Suppose 4*z = -6*d + 2*d + 36, -5*d + 30 = 2*z. Suppose 4*u = z*n + 237, 0 = 2*u - 7*u - 3*n + 250. Is u composite?
False
Let h(z) = 43*z**3 + z**2. Let u be h(-1). Let v = u + 133. Is v prime?
False
Let l = 383 - -100. Let n = -253 + l. Suppose -n = -j - j. Is j composite?
True
Let m(n) = -15*n**3 - 4*n**2 + 6*n - 3. Let q = 10 + -6. Let a be m(q). Is (-4)/22 + a/(-11) composite?
True
Let s(v) = 5*v**2 + 2*v + 3. Let c be -2*(-3)/(-15)*5. Is s(c) prime?
True
Let w(r) = -19*r - 6. Let t(q) = 2*q - 1. Let j be t(-2). Is w(j) composite?
False
Suppose -d + v - 2 = -0*v, -5*d - v = -14. Let g be (4/10)/(d/270). Is 4/6*g/4 a prime number?
False
Let n(z) = z**2 + z - 6. Suppose 2*h + 20 = -2. Let u = 6 + h. Is n(u) a composite number?
True
Let i(p) = -p**2 - 2*p. Let b be i(-2). Suppose 0 = -q - j + 65, -260 = -4*q + 2*j - b*j. Is q a composite number?
True
Let o(q) = -7*q**3 - 2*q**2 - 4*q - 3. Is o(-2) a prime number?
True
Let v = 2138 + -1164. Is v a prime number?
False
Suppose 0 = k + 15 - 53. Let o = 85 - k. Is o a prime number?
True
Is 11/77 + 4542/7 a prime number?
False
Suppose -5*i + i = 3*q - 41, q - 3 = 0. Let v(a) = a**3 - 9*a**2 + 7*a + 10. Let b be v(i). Is (3/(-9))/(b/(-474)) a prime number?
True
Suppose -2*o - 177 = -5*o. Is o a composite number?
False
Let m(b) = b**3 - 8*b**2 + 8*b - 29. Is m(14) a composite number?
False
Suppose 2*p - 872 = -9*a + 7*a, -3*a + 430 = p. Is p a prime number?
True
Suppose -2*p = 2*m - m - 155, -305 = -4*p + 3*m. Is p a prime number?
False
Is (1557 - -4) + (-6)/3 composite?
False
Suppose 205 + 1178 = 3*l. Let c = l + -276. Is c prime?
False
Let g(r) = -53*r**3 - 2*r**2 - 2*r - 1. Let l be g(-1). Let j = -3 + l. Suppose 2*s = j + 25. Is s composite?
False
Let c(o) = -2*o + 5. Let x be c(3). Let n = x + 142. Is n composite?
True
Let d be 334/6*(3 + 0). Suppose f = 86 + d. Is f prime?
False
Let b(r) = 14*r - 7. Let u be b(5). Let n = u + -40. Is n a prime number?
True
Suppose -13 - 1 = -2*i. Is i composite?
False
Let k(w) = -w**3 + 2*w**2 + 2*w + 4. Let a be k(3). Is 219*a + 9/(-9) a composite number?
True
Let b be 1 + ((-1)/1 - 3). Let o(q) = -52*q + 3. Is o(b) a composite number?
True
Let a(d) = -d**2 + 5*d - 4. Let i be a(4). Suppose 4*j = -i*j + 452. Is j a composite number?
False
Suppose -l + 14 = -7. Suppose 5*o = 4*u - l, o + 0 - 7 = -2*u. Suppose -3*a + 14 = -u. Is a a prime number?
False
Let h = -158 + 301. Is h composite?
True
Let p = -10 + 12. Is p a prime number?
True
Let m = 52 + 411. Is m composite?
False
Let x(o) = -2*o - 160. Let b be x(0). Is -1*(2 + b)/2 a prime number?
True
Let x(s) be the second derivative of s**4/12 + 2*s**3/3 - 4*s**2 - 2*s. Is x(-9) prime?
True
Let r(v) = -v - 3. Let j be r(-5). Suppose 4*l = -j*b + 206, -l + b = l - 93. Is l a composite number?
True
Suppose -4*j + 5*d + 204 = 0, j - 264 = -4*j + 4*d. Suppose 0 = -5*i + 6*p - 2*p - 79, -i - 4*p - 35 = 0. Let b = i + j. Is b prime?
True
Suppose 5*p = -4*c - 12 + 47, 6 = -3*p + 3*c. Suppose 4*z + 0*t = -p*t + 696, -5*z - 2*t + 870 = 0. Suppose 0 = -4*u + u + z. Is u composite?
True
Suppose 2*v = -3*v + 830. Suppose v = 4*z - 166. Is z a prime number?
True
Let c be 2 + 1 - (-1 - 0). Suppose -c*j - 3*m + 22 = -2*j, 3*m - 7 = j. Suppose 4*d = -j*b + 296, -2*d + 180 = 2*b + 30. Is d a prime number?
True
Let j be ((-2)/(-6) + 3)*84. Let x be j - (-5 - (-4)/2). Suppose -34 = 3*a - x. Is a a prime number?
True
Let v = 62 + -16. Is v a prime number?
False
Suppose 9 = -4*p + 7*p. Let o = p - -2. Suppose -i - 60 = -o*i. Is i composite?
True
Let h(y) be the first derivative of 15*y**2/2 - y - 8. Is h(4) a prime number?
True
Suppose 0*a - 3*a = -6. Suppose a*f - 37 = -5*t, 5*f + 6*t - 3*t - 64 = 0. Is f a composite number?
False
Let t(k) = 21*k**2 - 2*k + 4. Let p be t(-4). Suppose -2*j - 605 = -5*j + 4*d, -j + 2*d + 203 = 0. Let i = p - j. Is i prime?
True
Let u be (1 + 1)*1*-5. Let f = u + 11. Is 14*f*34/4 a prime number?
False
Let p be 2 + (11 - 6/(-2)). Suppose 4*i + 4*s + p = 2*i, 3*i + 5*s = -19. Is i composite?
False
Suppose 37 + 254 = 3*j. Is j a composite number?
False
Suppose 0 = -2*b + 2 + 4, -5*b = -3*j + 8802. Is j prime?
True
Suppose 2*t - 318 = -4*q, -65 + 220 = 2*q - 3*t. Is q a composite number?
False
Let n = 3 - 1. Suppose c - 64 = 3*i, 2*c = 5*c + n*i - 137. Suppose -u + 2*u = c. Is u a composite number?
True
Let d = -641 - -1214. Is d a prime number?
False
Let q(a) = a + 7. Let l be q(-5). Suppose -4*g + 5*g - 644 = -4*c, 5*g = l*c - 322. Is c a prime number?
False
Let o = -143 - -99. Is 6 + -6 + 3 - o composite?
False
Let n be (10/(-4))/(-5)*-2. Let o = n + 6. Suppose -o*y + 4*f = -175, -4*y + 4*f = -139 + 3. Is y composite?
True
Suppose -24*q + 19*q + 1420 = 0. Let w = -157 + q. Is w prime?
True
Let d = 931 + 290. Suppose -4*l = -l - d. Is l composite?
True
Suppose 0 = 2*v + 3 + 1. Let h = v + 2. Suppose h = 2*k - k - 37. Is k a composite number?
False
Suppose -2*v + 5*v = 9. Suppose 3*f - 5*c = 678, 0 = -3*f - v*c + 532 + 122. Is f a prime number?
False
Let f = 12 - 7. Suppose -2*r - 4*m = 20, -53 = 8*r - 4*r - f*m. Is (-3171)/r - (-6)/8 a composite number?
True
Let u = 6 - 2. Suppose -3 = u*c - 151. Is c a prime number?
True
Let j be -3 + 56 - (-1 - -3). Let l = j - 32. Is l prime?
True
Suppose -a = 47 - 54. Is a a composite number?
False
Suppose 2*i = 3 + 3. Suppose 4*y - 180 = -4*p, -i*y - y = 4. Is p prime?
False
Let u(i) = 3*i**2 + 41*i + 41. Is u(18) a composite number?
True
Let v(c) = -c**3 + 6*c**2 - 4*c + 3. Let q be v(5). Is (-2)/(3/((-4452)/q)) prime?
False
Let n be -1*7 + (2 - 2). Let f = 21 + n. Is f a composite number?
True
Let p = 256 - 140. Suppose -3*h - s + 25 = -81, s = 3*h - p. Is h composite?
False
Let w(s) = -s**3 + 6*s**2 - 4*s - 7. Let o be w(5). Let t = 2 - o. Let r(i) = i**2 - i - 2. Is r(t) prime?
False
Suppose -145 = -5*u - g, -5*u + 3*u = -2*g - 70. Let v be -12*(0 + u/(-9)). Let o = v - 27. Is o prime?
True
Suppose -j + 3 = j - p, -2*p = -j + 3. Let a be (-8)/(-20)*595/j. Suppose 2*d - 84 = a. Is d prime?
False
Suppose -267 + 53 = -3*g + d, -2*g = -d - 143. Is g a prime number?
True
Let g be -43 - (2/(-2) - -2). Let j = g + 186. Is j compos | {
"pile_set_name": "DM Mathematics"
} |
ssuming z is positive.
z
Simplify (q/(q**(3/4)/q))/(q/((q/q**40)/q)) assuming q is positive.
q**(-159/4)
Simplify c*c**(-32)/c*(c**(-1)/c)/c assuming c is positive.
c**(-35)
Simplify (c**(-28))**(-28) assuming c is positive.
c**784
Simplify (f/(f*f**(-2/29)))/(f**(1/5)/f)*f/((f/f**(-4))/f)*f**(-3) assuming f is positive.
f**(-744/145)
Simplify (i**(-2/31)*i/(i*i/(i/(i/i**(-6)))))/(i**(-7/4)*i**0) assuming i is positive.
i**(-659/124)
Simplify ((c*c**(-19))/c)/(c/(c**(1/5)/c)) assuming c is positive.
c**(-104/5)
Simplify (z*z/z**20)/z*z*z/(z**(-1)/z*z*z) assuming z is positive.
z**(-17)
Simplify ((y**7/y)/((y/y**9*y)/y))**(-29) assuming y is positive.
y**(-406)
Simplify (d**(5/4)*d*d/d**1)/((d*d*d*d*d**2*d)/(d**(2/17)/d*d*d)) assuming d is positive.
d**(-247/68)
Simplify (d**(-2/7)/d**(2/13))/(d**(-1))**(4/23) assuming d is positive.
d**(-556/2093)
Simplify (z*z**(-1/38))/(z**(1/4)/z*z*z) assuming z is positive.
z**(-21/76)
Simplify (d**(2/23)*d**(-6))/((d*d**(4/13))/d*d*d**(-1/12)*d*d*d) assuming d is positive.
d**(-36373/3588)
Simplify (k*k**16*k)/k**(-3) assuming k is positive.
k**21
Simplify (q**(-1)*q**(2/9))**(3/5) assuming q is positive.
q**(-7/15)
Simplify c**(7/4)/c**(-7/5)*c/(c**(-1/2)/c)*c**7 assuming c is positive.
c**(253/20)
Simplify ((w**(-17/2)*w)/w)/(w/(w/(((w**30/w)/w*w)/w))*w) assuming w is positive.
w**(-75/2)
Simplify ((w**1)**(-30/7))**(-2/31) assuming w is positive.
w**(60/217)
Simplify (i**(-3/7))**(-48) assuming i is positive.
i**(144/7)
Simplify (o**7/((((o**(-5)*o)/o)/o)/o))/((o*o**(-4)*o)/(o**(2/29)/o)) assuming o is positive.
o**(437/29)
Simplify (k**(-3)/(k**7/k))/(((k/(k*k**3))/k*k)/k**4) assuming k is positive.
k**(-2)
Simplify v*v**(2/3)*v/v**(-21)*v assuming v is positive.
v**(74/3)
Simplify (t**1)**(-4/7)*(t*t/(t*t/t**2)*t)**(12/13) assuming t is positive.
t**(200/91)
Simplify h**(-2)*h*h*h*(h/(h/h**(-6)))/h*h**(-9)*h*h/h**6 assuming h is positive.
h**(-19)
Simplify x*x*x/x**(-6)*x*x*x*x*(x**(-1/3)/x*x*x)/x assuming x is positive.
x**(38/3)
Simplify (c/c**(-1/2)*c**(2/3))**(-3/14) assuming c is positive.
c**(-13/28)
Simplify (a**1)**15*a**(1/11)*a**(1/2) assuming a is positive.
a**(343/22)
Simplify (i*i**(-3/11)*i*(i*i/i**7)/i)**29 assuming i is positive.
i**(-1363/11)
Simplify b**33/(b*b**(-43)) assuming b is positive.
b**75
Simplify ((i**(-6))**3)**46 assuming i is positive.
i**(-828)
Simplify c/((c**(3/16)/c*c)/c)*c/c**(-1/4)*c assuming c is positive.
c**(65/16)
Simplify (x**(2/7)*x**(2/3))/(x/x**(-5/4)*x*x/(x/x**(-3))) assuming x is positive.
x**(59/84)
Simplify (s**7/s)/((s/(s/s**(-1/7)))/s*s)*(s**6*s)/s*s*s**1/s assuming s is positive.
s**(92/7)
Simplify (f/(f**(-5)*f))**(9/7) assuming f is positive.
f**(45/7)
Simplify (x*x**(-2/53)*x)**(-3/14) assuming x is positive.
x**(-156/371)
Simplify (r*r*(r/((r**(2/21)*r)/r))/r)**(-37) assuming r is positive.
r**(-1480/21)
Simplify l/(l/l**(1/2))*(l*l**(-4)*l)/l*l**(-2/13)*l*l**(-6) assuming l is positive.
l**(-199/26)
Simplify (o/(o/o**(-15)))/(o**(-6)/o) assuming o is positive.
o**(-8)
Simplify (l**7/l*(l/l**(1/12))/l)/(l/l**(2/5)*l**5/l*l) assuming l is positive.
l**(19/60)
Simplify i**23*i*i/(i**(-37)*i) assuming i is positive.
i**61
Simplify (f**(-20)*f**(2/59))**(-1/8) assuming f is positive.
f**(589/236)
Simplify ((z*z**(9/4)/z)/z*z)/z**(-5/6) assuming z is positive.
z**(37/12)
Simplify (w/((w**(-2/7)*w*w)/w*w)*w/w**(-3))/(w*w**(2/7))**(3/4) assuming w is positive.
w**(65/28)
Simplify (v**(-2/11)*v)/((v*v*v**(1/4)/v)/v)*(v*v*v**(-6)*v*v)/(v**(-3/4)/v) assuming v is positive.
v**(7/22)
Simplify (m**(-2/3))**(-13)/((((m/(m*m**(2/3)))/m)/m)/m**(-4/3)) assuming m is positive.
m**10
Simplify a**24/a*a**(-12/7)/a*a assuming a is positive.
a**(149/7)
Simplify ((k**(-3))**(-23/4))**(-1/11) assuming k is positive.
k**(-69/44)
Simplify ((r**16/r*r*r)/(r*r/r**(-2/35)*r))**(-1/46) assuming r is positive.
r**(-244/805)
Simplify t/(t*t*t*t**9)*t/((t/(t/(t/(t*t**(4/5))))*t)/t) assuming t is positive.
t**(-46/5)
Simplify (w**8*w**(3/7)*w)/((w/(w*w/(w**0*w*w*w)))/w)**(-37) assuming w is positive.
w**(325/7)
Simplify (z**3*z)/(z*z/(z/(z*z/z**(-2/15)))) assuming z is positive.
z**(13/15)
Simplify ((r**(3/4))**22)**5 assuming r is positive.
r**(165/2)
Simplify (q**(-1/3))**(-41)*(q/q**(-3/2))/(q/q**(-2/27)) assuming q is positive.
q**(815/54)
Simplify ((i**(-2/9))**(1/16))**(-28/9) assuming i is positive.
i**(7/162)
Simplify n**(-5)/n**(2/77) assuming n is positive.
n**(-387/77)
Simplify (z**(2/5)/(z**(-3/2)/z))/((z*z**(1/2)*z)/z)**(-10) assuming z is positive.
z**(179/10)
Simplify ((u/(u**(4/3)/u))**(-30/13))**(-24) assuming u is positive.
u**(480/13)
Simplify (n**(-11)*n*n**(-2)/n)**43 assuming n is positive.
n**(-559)
Simplify v**(3/2)/v*v**(-6)*v*v**(-1)/v*v*v*v**(-1/4)*v assuming v is positive.
v**(-15/4)
Simplify (f**(-2/15)*f**(3/5))/(f/f**0*f**1) assuming f is positive.
f**(-23/15)
Simplify (g**(-5/3)*g/g**(-3)*g*g)/((g/(g**(1/4)/g))/g**(-2/7)) assuming g is positive.
g**(193/84)
Simplify (q**(-4)/((q*q**3*q)/q))/(q**7*q/q**(-5/2)) assuming q is positive.
q**(-37/2)
Simplify b**(-41)/(b/b**(-43)) assuming b is positive.
b**(-85)
Simplify ((r**1)**(2/13))**(-16) assuming r is positive.
r**(-32/13)
Simplify ((((w**(2/3)*w)/w)/w)/w**(-6))**(-2/37) assuming w is positive.
w**(-34/111)
Simplify i**(-5)*i*i**4*(i/i**2*i)/(i*i**(2/13)) assuming i is positive.
i**(-15/13)
Simplify (b*b/b**(-12))**(-19) assuming b is positive.
b**(-266)
Simplify ((h/h**(3/11))/h*h*h**(-3)*h*h)/(h**2/h**1) assuming h is positive.
h**(-14/11)
Simplify (o**2*(o**(2/7)/o*o)/o)/(o**2/o*o*o/(o*o**(2/21)*o)*o) assuming o is positive.
o**(-13/21)
Simplify ((p*p/(p*p**9*p)*p)/(p**5/p))/((p/(p*p*p*p*(p/(p**1/p))/p*p*p))/p)**(-32/3) assuming p is positive.
p**(-76)
Simplify (b*b**(-1/6))/b**(2/5)*b**(-1/6)*b*b*b*b/b**(1/3)*b*b*b assuming b is positive.
b**(104/15)
Simplify s**7*s/s**(-2/5)*s/(s/(s**(2/11)*s))*((s*s*s*s**(1/6)*s)/s*s)/s assuming s is positive.
s**(4207/330)
Simplify (g**(-4/9))**(-4/17) assuming g is positive.
g**(16/153)
Simplify v**(3/10)*v**4*((v*v/((v*v/(v**(1/2)*v))/v))/v)**0 assuming v is positive.
v**(43/10)
Simplify ((c**3*c)/(c**(2/15)/c))/((c/c**(-2/39)*c)/(c**(-1/2)*c*c*c)) assuming c is positive.
c**(691/130)
Simplify ((w/(w**(2/13)*w*w))/(w**(4/7)/w))/(w*w**(1/4)*w)**20 assuming w is positive.
w**(-4161/91)
Simplify l*l/(l/(l*l/l**(-2/15)))*l*l*l**4*(l/((l/(l**6/l))/l))/(l*l/l**(-2/7)) assuming l is positive.
l**(1349/105)
Simplify (o**2/o**(1/2))/(o**(-2/23)/(o/(o*(o*o**(-3)/o)/o))) assuming o is positive.
o**(257/46)
Simplify v**(-6)/v**(-2/25)*v**5*v*v**6*v*v assuming v is positive.
v**(202/25)
Simplify (z**(-1/8)*z*(z/(z/(z/(z*z/(z*z/z**(-2))))))/z)/(z**(1/4)*z*z**0) assuming z is positive.
z**(13/8)
Simplify ((((k/k**(3/8))/k*k)/k)/(k/(k/((k*(k*k**(5/3))/k*k*k)/k))))/((k**(-3/5)/k)/(k*k**(6/11))) assuming k is positive.
k**(-1183/1320)
Simplify ((d*d**(-2/23)*d*d)/(d*d**5))/(d**(-1/5))**(-8/9) assuming d is positive.
d**(-3379/1035)
Simplify (((u**3*u)/u)/(u/(u*u/(u*(u/(u/(u/u**(-5)))*u)/u))))/(u**(-4)/(u**(1/4)/u*u)) assuming u is positive.
u**(5/4)
Simplify (l**(-2)/l)**13*l**8/(l/(l*(l**(-1)*l)/l*l*l)*l) assuming l is positive.
l**(-31)
Simplify i**(-6)/(i/((i/i**(-4/5))/i))*(i**0)**(-1/53) assuming i is positive.
i**(-31/5)
Simplify ((q*q**(3/2))**(-24))**37 assuming q is positive.
q**(-2220)
Simplify (w*w*w**(1/19))/w*w**(-16) assuming w is positive.
w**(-284/19)
Simplify i**11/(i*((i/i**(-2/21))/i)/i) assuming i is positive.
i**(229/21)
Simplify (j**4/(j*j**(-3/14)*j))/(j**(2/9)/j*j)**19 assuming j is positive.
j**(-253/126)
Simplify (a*(a**(-27)/a)/a*a*a*a*a*a)**20 assuming a is positive.
a**(-460)
Simplify y/y**(4/7)*y**(2/21) assuming y is positive.
y**(11/21)
Simplify ((i/i**(1/5))**(-2))**(-14) assuming i is positive.
i**(112/5)
Simplify (w*((w**(-2/35)/w)/w*w*w)/w*w*w*w)/w**(3/14) assuming w is positive.
w**(191/70)
Simplify (m*m*m*(m*(m/(m*m/m**(4/9)))/m*m)/m*m*m)**(-39) assuming m is positive.
m**(-520/3)
Simplify z*z/(z/(z*z*z*z**(5/3)*z*z))*z**(-16) assuming z is positive.
z**(-25/3)
Simplify (r/(r/r**(3/28)*r*r))/(r**(-12)*r*r) assuming r is positive.
r**(227/28)
Simplify (k**(1/17)/k)/k**26 assuming k is positive.
k**(-458/17)
Simplify (j**(-8)*j)/ | {
"pile_set_name": "DM Mathematics"
} |
55
What is prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 4}?
8/15
Three letters picked without replacement from {u: 7}. Give prob of picking 3 u.
1
Three letters picked without replacement from {c: 5, m: 7, z: 1, b: 6}. Give prob of picking 1 z and 2 c.
10/969
Three letters picked without replacement from ygylyllll. Give prob of picking 3 y.
1/84
Calculate prob of picking 4 h when four letters picked without replacement from vcvfhhfhfvh.
1/330
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from wpwpwppewwwwwrq.
8/105
Two letters picked without replacement from {p: 1, a: 1, e: 1, w: 3, u: 1}. What is prob of picking 1 w and 1 e?
1/7
Three letters picked without replacement from {p: 1, n: 1, u: 6, s: 3, q: 3}. What is prob of picking 1 p, 1 n, and 1 s?
3/364
Two letters picked without replacement from {o: 8, l: 1, i: 10}. Give prob of picking 1 o and 1 i.
80/171
Calculate prob of picking 3 h when three letters picked without replacement from nnhflunhnnuulnuh.
1/560
Calculate prob of picking 3 u and 1 q when four letters picked without replacement from qquwueqecueuueuee.
3/119
Calculate prob of picking 4 k when four letters picked without replacement from {o: 4, k: 6, x: 1, n: 4, w: 5}.
1/323
Calculate prob of picking 1 j, 1 q, and 1 e when three letters picked without replacement from {g: 7, j: 1, e: 1, q: 2, l: 7}.
1/408
Four letters picked without replacement from {c: 3, h: 2, w: 2, l: 9, p: 3}. What is prob of picking 1 w, 2 l, and 1 p?
18/323
Three letters picked without replacement from {l: 3, i: 1, b: 6, q: 2, m: 1}. Give prob of picking 1 i and 2 q.
1/286
Three letters picked without replacement from {o: 12, t: 3, s: 2}. What is prob of picking 2 s and 1 t?
3/680
Calculate prob of picking 2 b and 2 g when four letters picked without replacement from {g: 6, b: 6}.
5/11
Four letters picked without replacement from {k: 3, y: 1, t: 1, c: 4, w: 5, a: 6}. Give prob of picking 3 c and 1 a.
8/1615
Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {g: 1, a: 1, s: 8, p: 2, l: 2}.
2/91
Four letters picked without replacement from {u: 3, j: 4}. What is prob of picking 3 j and 1 u?
12/35
Calculate prob of picking 1 v and 2 w when three letters picked without replacement from {k: 4, h: 1, w: 7, a: 2, v: 6}.
21/190
Two letters picked without replacement from esxlr. What is prob of picking 1 x and 1 r?
1/10
What is prob of picking 2 c and 2 v when four letters picked without replacement from ccccqvcvcvvvc?
42/143
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from nononngooojoog.
4/13
Two letters picked without replacement from {g: 3, x: 2, c: 5, f: 2}. What is prob of picking 2 x?
1/66
What is prob of picking 1 q and 1 f when two letters picked without replacement from {g: 2, q: 3, c: 3, i: 2, f: 2, e: 4}?
1/20
Four letters picked without replacement from {y: 2, q: 3}. What is prob of picking 2 q and 2 y?
3/5
What is prob of picking 1 m and 1 b when two letters picked without replacement from mbkbemmkm?
2/9
Three letters picked without replacement from eeteeccttrheetotcehc. What is prob of picking 1 t, 1 e, and 1 o?
7/228
Calculate prob of picking 3 e and 1 d when four letters picked without replacement from {e: 3, d: 2}.
2/5
What is prob of picking 1 a and 1 u when two letters picked without replacement from ouaouagaoa?
8/45
What is prob of picking 2 f and 1 v when three letters picked without replacement from ffvfffvffttffvffvtff?
26/95
Three letters picked without replacement from {c: 3, q: 2, l: 8, j: 2, u: 2}. Give prob of picking 1 l, 1 c, and 1 q.
6/85
Calculate prob of picking 2 r, 1 f, and 1 a when four letters picked without replacement from rxrrxafxxffrrjr.
3/91
Calculate prob of picking 3 g when three letters picked without replacement from ngntgnr.
0
Two letters picked without replacement from yvuooougoooovvuov. Give prob of picking 1 g and 1 u.
3/136
Four letters picked without replacement from iiwwiiwwwwwwwwwwwww. Give prob of picking 3 i and 1 w.
5/323
Four letters picked without replacement from yowoguf. Give prob of picking 1 y, 2 o, and 1 w.
1/35
What is prob of picking 2 w when two letters picked without replacement from aaacwawccaw?
3/55
Two letters picked without replacement from {a: 1, b: 5, w: 1, u: 4, d: 3, v: 1}. What is prob of picking 1 w and 1 u?
4/105
Two letters picked without replacement from wxx. What is prob of picking 1 x and 1 w?
2/3
Calculate prob of picking 1 i and 2 g when three letters picked without replacement from {g: 2, h: 8, i: 2}.
1/110
Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xceheqcchxeccccxe.
3/136
Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {m: 1, h: 3, a: 1}.
3/10
What is prob of picking 1 u, 1 s, and 1 c when three letters picked without replacement from sysyuycyyusucsuyyys?
40/969
Calculate prob of picking 2 s and 1 b when three letters picked without replacement from bwbsbsbbsbsbbsbw.
9/56
Two letters picked without replacement from {k: 1, z: 2, r: 1, i: 1, v: 1, y: 1}. Give prob of picking 1 r and 1 y.
1/21
What is prob of picking 2 h and 1 r when three letters picked without replacement from {r: 1, l: 1, h: 6, j: 1}?
5/28
Three letters picked without replacement from cfccccfccc. Give prob of picking 1 f and 2 c.
7/15
Four letters picked without replacement from {i: 6, k: 2, u: 2, r: 3, e: 3}. What is prob of picking 2 i, 1 u, and 1 e?
9/182
Four letters picked without replacement from {k: 2, n: 1, z: 1, g: 4, p: 2, c: 5}. Give prob of picking 1 g, 1 z, 1 p, and 1 n.
8/1365
Two letters picked without replacement from pfxxufxfxtx. Give prob of picking 1 x and 1 f.
3/11
Two letters picked without replacement from tttswwttttttwwttttws. Give prob of picking 1 s and 1 w.
1/19
Two letters picked without replacement from bqbqbqqqbiq. Give prob of picking 1 q and 1 b.
24/55
What is prob of picking 1 z and 1 u when two letters picked without replacement from {o: 2, z: 1, k: 1, y: 1, p: 2, u: 1}?
1/28
Three letters picked without replacement from {h: 7, j: 7}. What is prob of picking 3 j?
5/52
What is prob of picking 1 o and 1 s when two letters picked without replacement from ossrrsssrssrsrssr?
5/68
What is prob of picking 1 q, 1 t, and 1 d when three letters picked without replacement from {q: 8, t: 1, o: 1, r: 2, x: 4, d: 4}?
8/285
Four letters picked without replacement from yususy. Give prob of picking 1 s, 2 y, and 1 u.
4/15
Three letters picked without replacement from {y: 5, d: 1, z: 3, x: 2, q: 1}. Give prob of picking 1 x, 1 y, and 1 q.
1/22
Three letters picked without replacement from ccppccp. What is prob of picking 3 p?
1/35
Two letters picked without replacement from {h: 3, i: 1, w: 1, o: 1, q: 1}. Give prob of picking 1 w and 1 q.
1/21
Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, g: 9}.
1/22
Three letters picked without replacement from pjdjeetjeeeed. What is prob of picking 1 d, 1 e, and 1 t?
6/143
Three letters picked without replacement from vjuualusjuja. Give prob of picking 3 u.
1/55
Two letters picked without replacement from {f: 2, l: 1, w: 3, n: 1, p: 3, o: 1}. Give prob of picking 2 p.
3/55
What is prob of picking 1 k and 1 v when two letters picked without replacement from ynvyokk?
2/21
What is prob of picking 2 c when two letters picked without replacement from {c: 11, t: 1}?
5/6
What is prob of picking 1 w and 1 u when two letters picked without replacement from {p: 2, k: 1, f: 1, w: 1, u: 2, a: 1}?
1/14
Three letters picked without replacement from kkkkkkkkikkiki. What is prob of picking 3 k?
165/364
Two letters picked without replacement from {x: 1, j: 1, k: 3, o: 2}. What is prob of picking 1 j and 1 k?
1/7
Four letters picked without replacement from fffffmmmfmmm. What is prob of picking 2 m and 2 f?
5/11
What is prob of picking 1 n, 1 y, and 1 g when three letters picked without replacement from {g: 4, v: 1, a: 1, y: 5, n: 1}?
1/11
Calculate prob of picking 1 r and 1 e when two letters picked without replacement from xhwrexyr.
1/14
What is prob of picking 1 u and 1 s when two letters picked withou | {
"pile_set_name": "DM Mathematics"
} |
ivided by 693.
265
What is the remainder when 13008 is divided by 360?
48
Calculate the remainder when 36102 is divided by 18037.
28
What is the remainder when 2350903 is divided by 48?
7
What is the remainder when 3819 is divided by 133?
95
Calculate the remainder when 86534 is divided by 43251.
32
What is the remainder when 17139 is divided by 5671?
126
Calculate the remainder when 35913 is divided by 151.
126
What is the remainder when 5036 is divided by 333?
41
Calculate the remainder when 189309 is divided by 18.
3
What is the remainder when 1248 is divided by 19?
13
What is the remainder when 609023 is divided by 976?
975
Calculate the remainder when 48281 is divided by 92.
73
What is the remainder when 27299 is divided by 455?
454
Calculate the remainder when 21871 is divided by 547.
538
Calculate the remainder when 42539 is divided by 1380.
1139
What is the remainder when 177648 is divided by 13?
3
What is the remainder when 471500 is divided by 255?
5
Calculate the remainder when 1161 is divided by 375.
36
Calculate the remainder when 74033 is divided by 257.
17
Calculate the remainder when 23667 is divided by 11786.
95
Calculate the remainder when 37271 is divided by 327.
320
What is the remainder when 5379 is divided by 349?
144
What is the remainder when 2642 is divided by 1321?
0
What is the remainder when 317 is divided by 105?
2
What is the remainder when 439235 is divided by 1327?
1325
Calculate the remainder when 233849 is divided by 288.
281
What is the remainder when 29815 is divided by 42?
37
Calculate the remainder when 792778 is divided by 73.
71
Calculate the remainder when 2966591 is divided by 3.
2
Calculate the remainder when 7498349 is divided by 9.
8
What is the remainder when 261228 is divided by 53?
44
Calculate the remainder when 6981 is divided by 9.
6
What is the remainder when 2062423 is divided by 52?
51
What is the remainder when 63207 is divided by 38?
13
What is the remainder when 4287 is divided by 9?
3
Calculate the remainder when 20368 is divided by 971.
948
What is the remainder when 582847 is divided by 16?
15
Calculate the remainder when 766391 is divided by 8.
7
Calculate the remainder when 4782 is divided by 2391.
0
What is the remainder when 55149 is divided by 277?
26
Calculate the remainder when 8800 is divided by 26.
12
What is the remainder when 2330 is divided by 2307?
23
What is the remainder when 14730 is divided by 975?
105
What is the remainder when 57122 is divided by 5?
2
Calculate the remainder when 4669 is divided by 25.
19
What is the remainder when 111535 is divided by 330?
325
Calculate the remainder when 144213 is divided by 48018.
159
Calculate the remainder when 283895 is divided by 231.
227
Calculate the remainder when 333220 is divided by 184.
180
What is the remainder when 437852 is divided by 32?
28
Calculate the remainder when 40449 is divided by 114.
93
What is the remainder when 64019 is divided by 22?
21
What is the remainder when 35825 is divided by 41?
32
What is the remainder when 38609 is divided by 133?
39
Calculate the remainder when 17957 is divided by 40.
37
What is the remainder when 1410 is divided by 141?
0
Calculate the remainder when 13300 is divided by 135.
70
What is the remainder when 1313 is divided by 12?
5
What is the remainder when 23237 is divided by 11457?
323
What is the remainder when 4704 is divided by 40?
24
What is the remainder when 10239 is divided by 185?
64
Calculate the remainder when 9217965 is divided by 362.
359
What is the remainder when 1160 is divided by 228?
20
What is the remainder when 12754 is divided by 1822?
0
Calculate the remainder when 252280 is divided by 126127.
26
Calculate the remainder when 6422 is divided by 6190.
232
What is the remainder when 33209 is divided by 4738?
43
What is the remainder when 2908579 is divided by 51?
49
What is the remainder when 350096 is divided by 214?
206
Calculate the remainder when 4229 is divided by 210.
29
What is the remainder when 5033 is divided by 1491?
560
Calculate the remainder when 1382 is divided by 47.
19
What is the remainder when 6754649 is divided by 147?
146
Calculate the remainder when 1877 is divided by 157.
150
What is the remainder when 61899 is divided by 171?
168
What is the remainder when 2292 is divided by 103?
26
What is the remainder when 79965 is divided by 147?
144
Calculate the remainder when 18818 is divided by 51.
50
What is the remainder when 12290 is divided by 1?
0
What is the remainder when 67738 is divided by 1992?
10
What is the remainder when 69879 is divided by 208?
199
What is the remainder when 867 is divided by 16?
3
Calculate the remainder when 4730 is divided by 1573.
11
What is the remainder when 414 is divided by 53?
43
What is the remainder when 46885 is divided by 100?
85
Calculate the remainder when 44529 is divided by 36.
33
What is the remainder when 1077639 is divided by 274?
271
Calculate the remainder when 2716 is divided by 7.
0
What is the remainder when 7849 is divided by 9?
1
Calculate the remainder when 27267 is divided by 135.
132
Calculate the remainder when 4912 is divided by 183.
154
What is the remainder when 400241 is divided by 43?
40
Calculate the remainder when 20511 is divided by 6830.
21
What is the remainder when 136847 is divided by 14?
11
Calculate the remainder when 129527 is divided by 512.
503
Calculate the remainder when 1800 is divided by 115.
75
What is the remainder when 5707 is divided by 1898?
13
What is the remainder when 32809 is divided by 10?
9
Calculate the remainder when 2595 is divided by 630.
75
Calculate the remainder when 690610 is divided by 156.
154
Calculate the remainder when 1270 is divided by 204.
46
What is the remainder when 401 is divided by 27?
23
What is the remainder when 114045 is divided by 27?
24
What is the remainder when 76861 is divided by 9607?
5
What is the remainder when 7760 is divided by 7741?
19
Calculate the remainder when 50839 is divided by 5638.
97
Calculate the remainder when 185478 is divided by 177.
159
Calculate the remainder when 203436 is divided by 15.
6
Calculate the remainder when 220431 is divided by 184.
183
What is the remainder when 68295 is divided by 142?
135
Calculate the remainder when 3456 is divided by 382.
18
What is the remainder when 263947 is divided by 24?
19
Calculate the remainder when 2125 is divided by 158.
71
What is the remainder when 73743 is divided by 49?
47
What is the remainder when 4582 is divided by 2069?
444
Calculate the remainder when 41325 is divided by 530.
515
What is the remainder when 2279 is divided by 185?
59
What is the remainder when 2207 is divided by 189?
128
What is the remainder when 21663 is divided by 439?
152
Calculate the remainder when 305252 is divided by 237.
233
Calculate the remainder when 231314 is divided by 12.
2
Calculate the remainder when 289 is divided by 157.
132
Calculate the remainder when 303552 is divided by 68.
0
What is the remainder when 4375 is divided by 314?
293
Calculate the remainder when 8986 is divided by 219.
7
What is the remainder when 471518 is divided by 5547?
23
What is the remainder when 19391 is divided by 141?
74
Calculate the remainder when 342503 is divided by 426.
425
What is the remainder when 12474 is divided by 137?
7
What is the remainder when 91965 is divided by 2478?
279
Calculate the remainder when 12915 is divided by 498.
465
Calculate the remainder when 130150 is divided by 6507.
10
What is the remainder when 711172 is divided by 439?
431
Calculate the remainder when 22727 is divided by 22524.
203
What is the remainder when 11890 is divided by 399?
319
What is the remainder when 532373 is divided by 149?
145
Calculate the remainder when 135962 is divided by 45318.
8
What is the remainder when 3427978 is divided by 856994?
2
What is the remainder when 11390 is divided by 50?
40
What is the remainder when 2273226 is divided by 46?
44
Calculate the remainder when 2794 is divided by 570.
514
Calculate the remainder when 37209 is divided by 71.
5
What is the remainder when 49881 is divided by 182?
13
What is the remainder when 13105 is divided by 328?
313
Calculate the remainder when 2380 is divided by 868.
644
What is the remainder when 10610 is divided by 3514?
68
C | {
"pile_set_name": "DM Mathematics"
} |
to base 16.
a43a
-41 (base 13) to base 15
-38
11354 (base 6) to base 16
676
34176 (base 9) to base 13
a47c
What is 553 (base 8) in base 10?
363
Convert -91 (base 16) to base 3.
-12101
Convert -2 (base 15) to base 12.
-2
What is -1426 (base 8) in base 12?
-55a
Convert 12321 (base 4) to base 11.
371
-21010220 (base 3) to base 6
-40040
What is 63ca (base 15) in base 7?
115363
What is -1c2 (base 14) in base 13?
-222
-221030 (base 6) to base 8
-43712
Convert 10444 (base 6) to base 10.
1468
45 (base 6) to base 8
35
-564a (base 11) to base 9
-11171
What is -18a (base 16) in base 6?
-1454
-4530 (base 15) to base 5
-432140
What is 11100100 (base 2) in base 9?
273
Convert -242 (base 11) to base 13.
-192
-10003 (base 11) to base 3
-202002101
What is 100304 (base 6) in base 4?
1323100
Convert -2a7 (base 16) to base 4.
-22213
-606 (base 11) to base 14
-3a4
-330005 (base 6) to base 4
-12221111
Convert -11b8e (base 15) to base 9.
-85578
-3206 (base 11) to base 7
-15236
What is -1081 (base 14) in base 4?
-230221
-1303 (base 4) to base 15
-7a
Convert 131 (base 5) to base 15.
2b
Convert -9d1 (base 14) to base 4.
-132123
What is 28 (base 16) in base 2?
101000
1001110000 (base 2) to base 3
212010
8170 (base 9) to base 11
4543
Convert -1304 (base 15) to base 6.
-30434
Convert -52 (base 14) to base 15.
-4c
-a710 (base 14) to base 7
-150020
28958 (base 12) to base 6
1114152
Convert 18230 (base 10) to base 6.
220222
-6a8 (base 14) to base 15
-5d4
271 (base 9) to base 15
101
Convert 1110110000 (base 2) to base 14.
4b6
-76502 (base 8) to base 6
-404242
Convert 365 (base 8) to base 6.
1045
1dc (base 15) to base 14
22c
Convert 99 (base 16) to base 4.
2121
What is 1623 (base 8) in base 7?
2445
-205 (base 8) to base 11
-111
-443 (base 6) to base 11
-146
-114245 (base 6) to base 11
-75a5
Convert -1304 (base 7) to base 13.
-2c0
Convert -c7 (base 16) to base 12.
-147
Convert -14 (base 7) to base 12.
-b
Convert 34431 (base 10) to base 7.
202245
What is a264 (base 16) in base 4?
22021210
What is -303211 (base 6) in base 8?
-56767
What is -10001010110101 (base 2) in base 14?
-3349
-100010011 (base 2) to base 4
-10103
What is -11047 (base 8) in base 3?
-20101010
Convert 1264 (base 7) to base 3.
200001
What is -11844 (base 11) in base 6?
-210352
-20003 (base 7) to base 2
-1001011000101
Convert 210121 (base 3) to base 14.
2d9
Convert -324 (base 9) to base 16.
-109
40738 (base 9) to base 16
68de
Convert -131301 (base 4) to base 15.
-870
What is -440 (base 15) in base 16?
-3c0
Convert 34333 (base 5) to base 9.
3342
What is -8964 (base 10) in base 8?
-21404
What is 1001100101101 (base 2) in base 8?
11455
Convert -1c289 (base 13) to base 15.
-1161b
What is 40065 (base 9) in base 10?
26303
What is -5548 (base 9) in base 12?
-2452
514 (base 12) to base 14
3a8
What is 4381 (base 9) in base 4?
302200
What is 16496 (base 11) in base 10?
23216
What is 1101032 (base 5) in base 6?
223244
-54b (base 13) to base 12
-638
10200200 (base 3) to base 13
12c0
-2825 (base 10) to base 11
-2139
100110001 (base 2) to base 15
155
1001110100 (base 2) to base 12
444
Convert 332021 (base 5) to base 9.
16710
8f3 (base 16) to base 13
1073
10000100001 (base 2) to base 14
557
3013210 (base 4) to base 14
4924
Convert -111100010010011 (base 2) to base 3.
-1120100020
What is -226 (base 10) in base 14?
-122
Convert 1266 (base 7) to base 3.
200010
Convert -3503 (base 6) to base 12.
-593
What is -112200110 (base 3) in base 5?
-320304
Convert 10011100100 (base 2) to base 7.
3436
Convert -11142 (base 5) to base 12.
-565
-1100010010111 (base 2) to base 4
-1202113
Convert -1210101 (base 3) to base 8.
-2432
Convert -1182 (base 9) to base 6.
-4032
What is 868 (base 15) in base 11?
1476
Convert 400032 (base 5) to base 3.
122011121
Convert -112a (base 12) to base 8.
-3562
Convert 2902 (base 12) to base 3.
20112002
What is 1a7 (base 12) in base 4?
10033
-23643 (base 12) to base 2
-1011100111010011
Convert 1244242 (base 5) to base 15.
75d2
291 (base 12) to base 6
1501
241 (base 15) to base 9
627
-39a (base 11) to base 3
-122111
Convert -111101000110000 (base 2) to base 8.
-75060
Convert 98a (base 16) to base 11.
1920
What is 1060 (base 10) in base 11?
884
-1001011 (base 2) to base 7
-135
100 (base 9) to base 11
74
Convert 2964 (base 10) to base 12.
1870
8c2 (base 16) to base 13
1036
Convert -f38 (base 16) to base 3.
-12100022
What is 3344422 (base 5) in base 12?
2a42a
What is 4272 (base 11) in base 8?
13015
7271 (base 13) to base 8
36701
109c9 (base 15) to base 3
2200111000
2425 (base 9) to base 2
11100001101
4050 (base 8) to base 13
c48
-a53 (base 13) to base 15
-7c3
-111 (base 10) to base 11
-a1
-110110101 (base 2) to base 5
-3222
1234 (base 10) to base 7
3412
636 (base 7) to base 4
11001
4016 (base 8) to base 11
1605
Convert -3506 (base 8) to base 2.
-11101000110
Convert -5824 (base 11) to base 10.
-7649
What is -18027 (base 9) in base 11?
-936a
957 (base 11) to base 12
7bb
3717 (base 9) to base 5
42040
1a8 (base 16) to base 2
110101000
-3124 (base 5) to base 15
-1c9
15b2 (base 12) to base 5
40312
1124333 (base 5) to base 10
20593
-32224 (base 7) to base 6
-101021
Convert 32 (base 6) to base 14.
16
What is -210 (base 14) in base 3?
-120001
Convert -9b (base 14) to base 7.
-254
Convert 110011010111101 (base 2) to base 15.
7bd6
1235 (base 9) to base 6
4135
What is -200122220 (base 3) in base 15?
-4070
What is 1005 (base 7) in base 14?
1ac
What is -4205 (base 8) in base 5?
-32211
-2220221102 (base 3) to base 4
-32003030
Convert 11100101110011 (base 2) to base 13.
6904
Convert -6c9a (base 14) to base 15.
-5937
What is 432012 (base 5) in base 10?
14632
What is -1233424 (base 5) in base 11?
-17236
What is -120211 (base 3) in base 10?
-427
Convert 12102000 (base 3) to base 15.
127c
-10096 (base 10) to base 2
-10011101110000
What is -4000 (base 5) in base 2?
-111110100
What is 53a (base 12) in base 16?
2fe
What is 1376 (base 10) in base 15?
61b
9a7 (base 15) to base 5
32212
What is -a28 (base 13) in base 5?
-23344
Convert 20133 (base 4) to base 3.
202010
Convert 1b22 (base 16) to base 2.
1101100100010
What is a0 (base 11) in base 9?
132
What is -2000 (base 6) in base 12?
-300
Convert -183 (base 13) to base 10.
-276
Convert 8 (base 12) to base 5.
13
What is 1010111010001100 (base 2) in base 4?
22322030
Convert 11300 (base 8) to base 3.
20120210
What is -224040 (base 6) in base 11?
-13332
Convert -833 (base 11) to base 8.
-1754
15342 (base 6) to base 8
4716
2220332 (base 4) to base 3
112211112
What is -1434 (base 7) in base 16?
-234
What is -38c (base 15) in base 5?
-11212
-101233 (base 7) to base 14
-641a
Convert 4864 (base 10) to base 2.
1001100000000
231 (base 13) to base 5
3003
40203 (base 6) to base 8
12213
What is -629 (base 11) in base 5?
-11012
527 (base 11) to base 15
2c4
Convert -22 (base 9) to base 16.
-14
Convert 3010 (base 6) to base 13.
3b4
Convert -1011101001110 (base 2) to base 12.
-3552
2040 (base 9) to base 16
5d6
Convert 7a53 (base 13) to base 11.
1196a
What is -33137 (base 12) in base 9?
-112627
-1232 (base 12) to base 11
-15a8
What is -4451 (base 16) in base 2?
-100010001010001
-13012 (base 4) to base 9
-554
-362 (base 12) to base 9
-622
What is -54101 (base 6) in base 16?
-1cd5
-6646 (base 13) to base 4
-3132232
Convert 1719 (base 15) to base 3.
20211020
Convert 325a (base 14) to base 11.
65a3
-2034 (base 5) to base 3
-100222
Convert 1001010110 (base 2) to base 12.
41a
Convert da3c (base 14) to base 6.
450250
1001000000010111 (base 2) to base 4
21000113
What is 7c82 (base 16) in base 2?
111110010000010
Convert 35a (base 11) to base 8.
654
Convert 273 (base 14) to base 13.
2bc
93a (base 16) to base 2
100100111010
220033 (base 4) to base 8
5017
429 (base 11) to base 12
36b
What is -3120 (base 5) in base 15?
-1c5
-5195 (base 10) to base 5
-131240
Convert -2120202020 (base 3) to base 9.
-76666
Convert 172 (base 9) to base 2.
10010010
What is 171 (base 11) in base 8?
307
8372 (base 15) to base 7
143666
Convert 2602 (base 7) to base 3.
1100101
What is -13a3 (base 14) in base 8?
-6623
Convert 123441 (base 5) to base 4.
1030013
Convert 1101022 (base 3) to base 7.
2636
Convert -b90 (base 12) to base 8.
-3234
1c11 (base 13) to base 14
178b
50600 (base 7) to base 15
399e
What is -2a (base 15) in base 4?
-220
What is -33 | {
"pile_set_name": "DM Mathematics"
} |
t is the difference between 85.8185796 and 0.0466?
85.7719796
What is -85 - 4.39542659498?
-89.39542659498
What is -0.3 plus 4273444610069?
4273444610068.7
-0.0213829102531 + -1.9
-1.9213829102531
What is 0.9 less than 47365.74551?
47364.84551
What is -584850948069 - -0.4?
-584850948068.6
What is 0.09 - 59643999676.9?
-59643999676.81
0.011087+6569486.85
6569486.861087
What is 1530373.9 plus -40689816?
-39159442.1
Total of 127928 and -0.22348745.
127927.77651255
Total of 921036485 and -215636.
920820849
Calculate -2.948751 - 248653.9.
-248656.848751
What is -881392 take away 333309?
-1214701
Calculate 25706.1734522694 - 0.
25706.1734522694
Calculate 1.78 - 1526125536.6.
-1526125534.82
What is 666937 take away 452313?
214624
Put together -0.0327 and 255828488.
255828487.9673
What is the difference between -31017.2 and 188.65152?
31205.85152
What is the distance between -0.1572 and 9631594098.9?
9631594099.0572
Add 0.5 and 4.37889400948.
4.87889400948
What is 0 + -1572239408307?
-1572239408307
Work out -28314512452842 - -0.2.
-28314512452841.8
Add -2658.42 and -0.126379698.
-2658.546379698
Add 243.6 and 0.426809.
244.026809
What is -968.024465441 less than 164?
1132.024465441
Work out -0.3 - -9904411428541.
9904411428540.7
10880125.1 + -6686
10873439.1
What is the difference between 38736 and 0.07393127?
38735.92606873
Total of -1163894537884 and 0.01.
-1163894537883.99
Total of 25029463422 and -0.08.
25029463421.92
-19.38+1.65609673
-17.72390327
-119649327+-3.235
-119649330.235
What is 0.06826 minus 4996916?
-4996915.93174
Work out 118.342 - 563.820856.
-445.478856
Total of -0.118773 and 74593460.
74593459.881227
Total of -0.270972 and 2440329.
2440328.729028
Add together 3 and -7862269999.
-7862269996
-5 + -58532481936
-58532481941
Work out -7 + 259883959032.
259883959025
What is 217.25 - 543935406?
-543935188.75
Total of 12 and -87484628195.
-87484628183
Total of -0.4 and 590066180.765.
590066180.365
What is the difference between 46716888.5 and 99.92?
46716788.58
Put together 116327 and -0.0215291343.
116326.9784708657
What is -2964857 less than -40908171?
-37943314
Work out -124539543473 - 0.1.
-124539543473.1
Add -343 and -1.38876469.
-344.38876469
0.064 - 146365.83267
-146365.76867
-2 - 16087.352910379
-16089.352910379
Add together 1043530007386 and 0.5.
1043530007386.5
Calculate -2079 + 5817724.646.
5815645.646
What is 863614 plus 1.19814?
863615.19814
What is -92 less than 9704.7924877?
9796.7924877
What is the difference between -5 and 3147614061817?
3147614061822
Total of -73 and 72978694934.
72978694861
Calculate 246452235.5 + 541.
246452776.5
283702702633 - -532
283702703165
Subtract -4048646 from 29.426.
4048675.426
Subtract -0.668351734 from -0.0161.
0.652251734
Total of -0.068426491 and -372539.
-372539.068426491
What is 0 minus 16104801.776558?
-16104801.776558
What is -5450.6436906 take away 0.0963?
-5450.7399906
What is -10389644817.4 + 1094?
-10389643723.4
Calculate 5.16649055 + 47.
52.16649055
Sum -1.07780280253288 and 6.
4.92219719746712
Put together -6156 and 560812447.
560806291
What is 15236924 + 4347?
15241271
-0.11+76526908542
76526908541.89
What is -825295013 - 167211?
-825462224
Add 23045983 and -9842.08.
23036140.92
2 - 0.1721228600042
1.8278771399958
Total of -0.0222414 and -122382.
-122382.0222414
Calculate -314563848 + -0.35.
-314563848.35
What is -2236.1002771 minus 0.1562?
-2236.2564771
-28115 + -3.1913139
-28118.1913139
Put together -1369.20115007 and -122.
-1491.20115007
What is -286 - -0.4676925?
-285.5323075
Add together -21 and 201463569.68.
201463548.68
Subtract -0.16 from -321.57588623984.
-321.41588623984
What is -5531.7335489 less than -45.9?
5485.8335489
-59980.715046+0.014
-59980.701046
Work out 25 - 612326903763.
-612326903738
Add 204853 and 0.2708704.
204853.2708704
Add 111722106100197 and -4.
111722106100193
Total of -0.18 and -3069188697791.
-3069188697791.18
What is the difference between -20968.4 and -97253.9?
76285.5
What is -1.0167175 minus 276676?
-276677.0167175
Put together -3 and 108200818481508.
108200818481505
Subtract 56369.37 from -200.54.
-56569.91
Calculate -0.3 + -7037867943574.
-7037867943574.3
-3807428843628+1
-3807428843627
What is 148.31175 plus -177256?
-177107.68825
Sum -79475166742 and 0.0093.
-79475166741.9907
What is 127241491458 + 2121?
127241493579
Calculate 4.6 + -0.3729742436208.
4.2270257563792
Put together -0.8556946 and 5819.
5818.1443054
-96147329+-7222.06
-96154551.06
-1.06+-779.977969
-781.037969
What is 22.62526 + 6317.69?
6340.31526
Work out -32968 + 3300796.
3267828
Work out -67922.5836 + -7.
-67929.5836
Work out -0.061 + -5628788845.
-5628788845.061
Add 578887 and -297.152.
578589.848
What is 345171742765 less than 179?
-345171742586
What is the distance between -2 and 172621355502409?
172621355502411
What is 43487.7985 plus 0.39532?
43488.19382
0.4 - -18.3781644917343
18.7781644917343
What is the distance between 148758 and 11.44773?
148746.55227
Total of 0.02 and 33893772426673.
33893772426673.02
What is 0 less than -21840.345107?
-21840.345107
10318.096 + 28762
39080.096
Work out -116074560 + -0.0434468.
-116074560.0434468
What is -72.6385775 minus -94.552?
21.9134225
What is -3706 minus -132960584?
132956878
What is -276422.311 take away 1135339?
-1411761.311
Add 10487965 and 11231109.
21719074
Total of 308918679662594 and 3.
308918679662597
Put together 3051.0569 and 82.
3133.0569
796 - 3671007635
-3671006839
Sum -64434 and 2414553970.
2414489536
What is 0.1 plus 0.04025278879?
0.14025278879
What is 63 plus -0.274563833968?
62.725436166032
Sum 3.6286 and -36633792.
-36633788.3714
What is -6344135431787 + 2?
-6344135431785
Calculate -87086507780.9 - -6.
-87086507774.9
What is the distance between 0.1 and -7927.43954377?
7927.53954377
What is the distance between 535.757 and 3356240?
3355704.243
Calculate 10762 + -9629541486.
-9629530724
Put together -12 and 74.46715053.
62.46715053
What is the distance between 3.1 and 5520968094.1?
5520968091
-879.2 - 7519856828
-7519857707.2
Subtract 2 from -1161037953652.
-1161037953654
What is -75 plus -2342734407742?
-2342734407817
What is 0.1055111 less than 348175?
348174.8944889
What is -0.0589 minus 220762257?
-220762257.0589
What is -195524325.30075 less than -0.2?
195524325.10075
-26493156 - 147383
-26640539
Total of 34.18 and 1058438186.
1058438220.18
What is the distance between -24178173738 and -0.041?
24178173737.959
0.69499 - 5616152504
-5616152503.30501
Add 13614448 and -7.86.
13614440.14
What is 1 minus -381527489938?
381527489939
Subtract 159598.347907 from 38.
-159560.347907
What is 1538.719076232 less than 4?
-1534.719076232
-34.4336843786 - 0.2
-34.6336843786
What is the difference between -889029985556 and -0.5?
889029985555.5
What is -92792884658 + -3.3?
-92792884661.3
What is 44555 take away 3.7556684?
44551.2443316
6336440 + -35013407
-28676967
Add together -1162 and -7247662010.5.
-7247663172.5
What is the distance between 29.216651 and 16.54?
12.676651
Sum -364536 and 17.7234.
-364518.2766
Calculate 0.1 + 1268819485.1.
1268819485.2
What is -0.317 minus -17.24267003809?
16.92567003809
Put together -43401.0732 and 80.98.
-43320.0932
What is -52.2493 take away -46.732?
-5.5173
Calculate -1.1 - 8066900156.
-8066900157.1
What is -8898521270.03715 + -0.2?
-8898521270.23715
Subtract -18 from -67310838526.
-67310838508
Put together 2 and 1508.2138623111.
1510.2138623111
What is -8 - 3367198744.8?
-3367198752.8
Calculate -1405038067 - -18.182.
-1405038048.818
What is -17 minus 383815530749?
-383815530766
Calculate -24968761 + 1.7488.
-24968759.2512
What is 1206305200 less than -0.22?
-1206305200.22
666.531032 - 149836
-149169.468968
-0.28536 + -6296815
-6296815.28536
12.50242889 + 10729
10741.50242889
-37.63785829559 - -0.01
-37.62785829559
What is the difference between -52060885 and 35732?
52096617
Work out -3601.63642 + 76.4.
-3525.23642
Work out 0 + 0.2229633115468.
0.2229633115468
Calculate 4 + -990612011.51.
-990612007.51
42.44406+-5614689
-5614646.55594
Calculate -20775306279.3 + 2003.
-20775304276.3
What is 75.826 - 33204.03?
-33128.204
-1709351+-1873415
-3582766
What is 4 take away -283717207219?
283717207223
What is 471.567273 take away 293467?
-292995.432727
What is -4.78 minus 112.6809115 | {
"pile_set_name": "DM Mathematics"
} |
= 7*o - 11*o + 867. What is the highest common divisor of b and o?
27
Let q be (-2)/(-7) + (-26)/(-7). Let m be q*-1*34/(-4). Suppose m = 5*u - 6. What is the highest common factor of u and 2?
2
Suppose -3*i = 3*o - 39, 2*i - 37 = -3*o - 0*i. Calculate the highest common factor of o and 77.
11
Suppose -424 = -3*q + 4*t, 0*q + 574 = 4*q - t. What is the greatest common divisor of q and 18?
18
Suppose l = -3*m - 0*m + 16, 0 = 5*m - 2*l - 12. Suppose m*z - 660 = -0*z. Suppose -2*h = -27 - 3. What is the greatest common divisor of z and h?
15
Suppose -2*m - 3 = -5. Calculate the highest common divisor of m and 4.
1
Suppose 0 = -3*h + 5 + 1. Suppose -24 = -h*l - l. Let d be (960/9)/(-8)*48/(-10). What is the greatest common factor of d and l?
8
Let k be -4 - (0 + -2 - 222). What is the highest common factor of k and 22?
22
Let r(v) = 4*v - 25. Let m be r(12). What is the greatest common divisor of m and 207?
23
Suppose 0*l + 4*l = 12. Suppose -l*z + 14 = -g + 6, 2*g = -5*z + 28. Suppose -z*d + 289 = -71. What is the greatest common factor of 10 and d?
10
Let r be (-2)/(-1) - 1 - (-154)/7. Calculate the greatest common divisor of 115 and r.
23
Suppose -4*m - 40 = -4*q, 5*m + 9 = 2*m. Suppose 4*y - 5 = q. Suppose -h + 0*x = 2*x - 15, -y*h + 9 = -3*x. What is the greatest common divisor of 21 and h?
7
Let h be (-43)/(-5) - (-4)/10. Let w = -2 + 5. What is the greatest common factor of w and h?
3
Suppose 0 = -3*z + 5235 - 1893. Let p be z/14 - 12/(-28). Calculate the highest common divisor of p and 32.
16
Let i be 25*2 + (-6 - -38)/8. What is the highest common divisor of i and 27?
27
Suppose l + 4*l - 40 = 0. Suppose 2*c - a - 642 = -0*c, 3*c + 4*a - 952 = 0. Suppose -4*v + 32 + c = 0. Calculate the highest common divisor of l and v.
8
Let m = -7 - -8. Let x = m + 10. Let i = 102 + -58. Calculate the greatest common factor of x and i.
11
Let n(a) = 2*a**3 - a**2 - a - 3. Let g be n(5). Calculate the greatest common divisor of 31 and g.
31
Suppose -19 = 2*n - 31. What is the greatest common factor of n and 42?
6
Suppose 2*y = 6 + 16. Let i = 44 - 18. Let u = 81 - i. What is the highest common factor of y and u?
11
Let v(f) = -f + 8. Let w be ((-1)/(-3))/((-2)/(-36)). Let q be v(w). Calculate the greatest common factor of 18 and q.
2
Let r = -15 - -1. Let b be 2 - 7/(r/(-60)). Let t be (-8)/b - (-194)/7. What is the highest common divisor of 14 and t?
14
Let y = 11 + -8. Suppose -16*p + 13*p + 18 = 0. What is the highest common factor of p and y?
3
Let n(t) = 4*t**2 - 9. Let g be n(-6). What is the greatest common divisor of 15 and g?
15
Let o(w) = 2*w**2 + 4*w + 2. Let x be o(-2). Let n = 2 + x. Suppose n*f + 0*f - 32 = 0. What is the highest common divisor of f and 72?
8
Let t be ((-14)/4)/((-4)/8). What is the greatest common factor of 35 and t?
7
Suppose 62 = 3*v + 2*z, -1 + 10 = v + 3*z. Let u(m) = m**3 + 7*m**2 - 2*m. Let n be u(-5). Calculate the greatest common factor of n and v.
12
Let a be 0*(0 + 1/1). Suppose -21 = -5*d + 2*b, a*b - 2*b = 3*d - 19. What is the highest common divisor of 40 and d?
5
Let t(d) = -d**2 + d + 6. Let x be t(0). Calculate the highest common divisor of x and 6.
6
Let p(c) = c**2 - 5*c - 74. Let d be p(-10). Calculate the highest common factor of 190 and d.
38
Let r(z) = -z**2 - 10*z + 12. Let w be r(-8). What is the greatest common divisor of 21 and w?
7
Suppose -u - 4 + 6 = 0. What is the greatest common factor of 5 and u?
1
Suppose 0*n = 4*n. Suppose 3*i + i = n. Suppose i = x - 0 + 2, 2*k - 32 = 3*x. What is the greatest common factor of 26 and k?
13
Let d be (-33)/(-4)*8/3. Calculate the greatest common divisor of d and 2.
2
Suppose 0*k + 36 = 3*k. What is the greatest common divisor of 132 and k?
12
Let h(i) = 2*i**2 - 2*i + 1. Let y be h(2). Let b(s) = 2*s + 5. Let p be b(y). Let f = 128 - 83. Calculate the greatest common factor of f and p.
15
Suppose -5*s - 36 = -3*i - i, -2*i - 4*s = -18. What is the greatest common factor of i and 99?
9
Let w be (2 - 4)*2/(-4). Let s be (-74)/(1 + -3) + -1. Let b be (-3)/6*s/(-2). Calculate the greatest common divisor of w and b.
1
Let h(q) = 2*q**3 + 6*q**2 + q + 10. Let z be h(-3). What is the highest common divisor of 2 and z?
1
Let f = 268 + -136. Calculate the greatest common divisor of f and 12.
12
Let y(z) = -31*z. Let c be y(-1). Suppose -4*m + 113 = -c. Let v be ((-54)/5)/((-1)/5). What is the highest common factor of v and m?
18
Let o be (3/6)/((-1)/(-6)). Suppose 4*w = o*w + 446. Suppose 0 = -4*f + 86 + w. What is the highest common factor of f and 19?
19
Let p(h) = 11*h - 8. Let a be p(4). Calculate the greatest common divisor of a and 4.
4
Suppose -3*y + 68 = 4*f + 11, 2*y = -3*f + 43. Let q be (6 - 1)*(-2)/(-2). Suppose 0 = -q*z + z + 12. What is the highest common factor of z and f?
3
Suppose 0 = 7*y - 3*y - 28. What is the greatest common divisor of y and 77?
7
Suppose -q = 5*x + 2*q - 618, 2*x - 3*q - 264 = 0. Calculate the greatest common divisor of x and 18.
18
Let l be 2*(5 + 6/(-2)). Suppose 2*v + l*t = 19 + 1, 5*v - t = 28. Calculate the greatest common factor of 54 and v.
6
Suppose h = 3*v + 1, -4*h + 40 = -v - 2*v. Calculate the highest common factor of 143 and h.
13
Let f = 6 + -9. Let x(c) = c - 9. Let z be x(7). Let d = z - f. Calculate the greatest common factor of d and 5.
1
Let m(s) = 16*s - 93. Let f be m(7). Calculate the greatest common factor of 19 and f.
19
Let s = -113 + 114. Suppose -2*z + 0*z = -14. What is the greatest common divisor of s and z?
1
Let q(d) = 27*d - 18. Let w be q(6). What is the highest common factor of 16 and w?
16
Suppose -m + 112 = -5. What is the highest common divisor of 13 and m?
13
Let u be (1 - 1)/(2*-1). Suppose -f + 128 - 11 = u. Suppose 0 = 3*i - 4*i + 13. What is the greatest common factor of i and f?
13
Let n be -2 + ((-72)/10)/(1/(-5)). What is the greatest common divisor of 17 and n?
17
Let h = -6 + 10. Suppose -h*o + 15 = 3. Calculate the highest common factor of 12 and o.
3
Let o = 144 + -80. What is the greatest common divisor of o and 8?
8
Let c = 2 + 0. Suppose f = -3 + c. Let s be (f + -49)*(-1)/2. What is the greatest common factor of s and 5?
5
Suppose 7*x + 50 = 2*x. Let n be (198/x)/((-12)/40). What is the greatest common factor of 6 and n?
6
Let b(k) = 4*k - 23. Suppose 5*m + 2 = 57. Let t be b(m). What is the highest common factor of 7 and t?
7
Suppose 2*i - 6*i + 12 = 5*y, -4*y = 5*i - 6. Let b be i/5 - (-128)/20. What is the highest common factor of 66 and b?
6
Let r be 2 + 2 + 2 + -6. Suppose -m - 2*m = 5*j - 39, -j - 4*m + 18 = r. Calculate the highest common factor of 3 and j.
3
Suppose -2*l - 3*b + 50 = 0, 4*l - 94 - 6 = 3*b. Suppose -l = 2*m - 79. Calculate the greatest common divisor of m and 135.
27
Let s = 154 - 106. Calculate the greatest common divisor of s and 48.
48
Let j(y) = -5*y - 3. Let t be j(-3). Let h = -3 + 13. Suppose 2 = 2*a - h. What is the highest common factor of a and t?
6
Suppose 49 + 83 = 2*x. Suppose 4 - 10 = -i. Calculate the greatest common factor of i and x.
6
Let o be (-9)/(27/8)*-120. Calculate the highest common divisor of 40 and o.
40
Suppose -3*y - 2*t + 3*t + 37 = 0, y - 3*t = -1. Suppose c - 25 = -4. Calculate the highest common divisor of c and y.
7
Suppose 15*o - 149 = 106. What is the greatest common divisor of 187 and o?
17
Let x be (-4)/14 - (-80)/35. Let z(y) = -y**3 - 8*y**2 - 15*y - 8. Let w be z(-6). What is the highest common factor of x and w?
2
Let a be 5/(-15) - (-38)/(-3). Let q = 17 + a. Suppose -4*i = -4*t + 124, -4*i + 44 = -t + 3*t. Calculate the highest common factor of t and q.
4
Suppose -5*y + 31 + 59 = 0. Calculate the highest common divisor of y and 9.
9
Let x be 246 + -1*(3 - 0). Calculate the highest common divisor of x and 27.
27
Let x = 14 + -9. Let k(a) = -13*a - 4. Let n be k(-3). What is the greatest common factor of x and n?
5
Suppose -4 = 3*v - 4*v. Suppose 3*s - 5*b + 4*b - 6 = 0, 4*s - b = 8. What is the greatest common factor of v and s?
2
Let v(y) = 38*y**3. Let r be v(1). Suppose 4*s + 2*b = 84, 0 = 3*s + s + 5*b - 96. What is the greatest common factor of r and s?
19
Let u be (-33)/(-9) - 1/(-3). Let v = u + -4. Suppose 5*g + v*g = 50. What is the highest common divisor of 30 and g?
10
Let g be (1/((-1)/6))/(-2 | {
"pile_set_name": "DM Mathematics"
} |
Sort 5, z, y in decreasing order.
5, z, y
Let y(w) = -w**2 - 2*w + 45. Let o be y(-8). Put 5, o, -2, -11/4 in descending order.
5, -2, -11/4, o
Let z(m) be the third derivative of m**4/24 + 3*m**3/2 + 18*m**2. Let q be z(-8). Sort q, 9, 4 in decreasing order.
9, 4, q
Let t = -7 - -2. Let n(z) = -2*z**3 - 10*z**2 + z + 3. Let v be n(-5). Put 1, -3, t, v in ascending order.
t, -3, v, 1
Let x = 79 + -79.5. Sort -30, -1, x.
-30, -1, x
Let a = 3.7 + -4. Let o = -35.86 - -36. Let c = o - 0.1. Put c, a, -4/3 in descending order.
c, a, -4/3
Let c = 16 - 16.02. Let d = -3.98 + c. Put -2/9, 0.5, d in increasing order.
d, -2/9, 0.5
Let p = -2 + 5. Let a = 19144 + -19121. Put -4, p, a in decreasing order.
a, p, -4
Let s = 21 + -19. Suppose s = 3*l - 13. Let k = -4 - -7. Put 4, k, l in descending order.
l, 4, k
Let l = 0.1 - 0. Let h = 1.5 + -2.1. Let z = h + l. Sort -0.3, 2/5, z.
z, -0.3, 2/5
Let m = 7/8 + -1/8. Let a = -170.7 - -159. Let v = a - -12. Sort v, -0.4, m.
-0.4, v, m
Let n(k) = 4*k. Let v be n(1). Suppose t = 3*z, 2*t = -5*z - t. Suppose z = -u - u - 2. Sort u, -5/3, v.
-5/3, u, v
Let f(g) = g**2 - 3*g - 18. Let a be f(6). Suppose 0 = 4*m, -2*k - m = -0*k + 2. Put a, 3, k in decreasing order.
3, a, k
Let p(h) = 15*h + 1169. Let v be p(-78). Put v, -29, -6 in descending order.
v, -6, -29
Let a(n) = 2 - 1 + 26*n - 17*n + n**2. Let b be a(-9). Let x(u) = -u + 3. Let l be x(6). Put -10, l, b in decreasing order.
b, l, -10
Let w = -236 + 235. Let n(z) = -z - 2. Suppose -2*x - x = 12. Let b be n(x). Put b, w, 4 in decreasing order.
4, b, w
Let g = -13.55 - -13.25. Sort -79, 1/4, 3, g in ascending order.
-79, g, 1/4, 3
Let w = -75 - -65. Let b be (-138)/w - (-4)/(-5). Sort b, -3, 1 in decreasing order.
b, 1, -3
Let p = 2190 + -2188. Put 1, p, 146 in decreasing order.
146, p, 1
Let h = 1030 + -995. Put 0.3, h, 0.2 in decreasing order.
h, 0.3, 0.2
Let a = 2.88 + -3.88. Put a, -26, -3 in decreasing order.
a, -3, -26
Let n(s) = -s**3 - s**2 + 2*s. Let q be n(1). Sort 64, 3, q in ascending order.
q, 3, 64
Let r = -89 - -87. Let j = -5.01 + 0.01. Put -4, j, r in descending order.
r, -4, j
Let b = 283 - 284. Put b, 5, 16 in ascending order.
b, 5, 16
Let j = 2.9 + 4.1. Sort -1/2, -1, j, 0.5 in ascending order.
-1, -1/2, 0.5, j
Suppose -2*u - 2*p = 0, 3*u - 2 = 5*u + 3*p. Suppose 3*o - 8 = 3*j - 2*o, -5*j - 9 = -4*o. Put j, 4, -3, u in descending order.
4, u, j, -3
Let o = 248 - 244. Suppose 0 = 7*j + 7 + 7. Sort 3, o, j.
j, 3, o
Suppose -54*y + 4 + 64 = 14. Suppose -3*p = -5*d - 6*p + 30, -2*d - 2*p + 12 = 0. Let z be (-4)/6*(-45)/d. Sort z, 2, y in descending order.
z, 2, y
Suppose -2*x = -x. Suppose 0*m + m + 5 = x. Let b(j) = j**3 - 4*j**2 - 3*j - 5. Let z be b(5). Sort m, -1, z.
m, -1, z
Suppose -4*u + 7 - 3 = 0. Let n be -7 + (-10)/((-680)/484). Put n, u, -2/11, -2 in ascending order.
-2, -2/11, n, u
Suppose 165 = 2*h + h. Suppose 3*u = -2*u - h. Let n = -7 - u. Put n, 2, 6 in decreasing order.
6, n, 2
Suppose 0*n - 5*n = 0. Let f be (n + 1/1)/(-1). Let m be 3 + (4/6 - (-14)/(-21)). Sort m, 1, f.
f, 1, m
Suppose -5 = a, -i + 2*a + 18 = -18. Let q be i/(-7) + (-2)/7. Suppose -109*p = -96*p - 52. Sort 2, p, q in decreasing order.
p, 2, q
Suppose -3*v + 13 = -3*r - 11, 0 = -2*v - 3*r - 9. Suppose 0 = -3*y + v*l + 21, -4*y - 7*l = -3*l - 12. Sort -2/7, 3/4, y.
-2/7, 3/4, y
Let l = -60 - -50. Let i(f) = -2*f + 31. Let k be i(18). Put 0, l, k, 4 in ascending order.
l, k, 0, 4
Let n(i) = -i**3 - 8*i**2 - 11*i + 24. Let h be n(-5). Sort -2, h, -2/7 in ascending order.
-2, -2/7, h
Suppose 21 = 2*x + 5*r, -2*x - 6 = -5*r + 3. Suppose 26*z - 29*z = 24. Sort -3, z, x.
z, -3, x
Let s = -12 - -10. Let c be ((-48)/28)/(s/7). Sort -4, -1, c.
-4, -1, c
Let o(p) = -p**3 - p**2 - 13. Let c be o(0). Let m = 10 + c. Let a be (-2 - m)/((-9)/15). Sort a, -1/6, -3 in ascending order.
-3, a, -1/6
Let p = -6 - -10. Let f(d) = d**3 - 17*d**2 + 24*d + 92. Let n be f(15). Sort n, -1, p, -5.
-5, -1, n, p
Let w = 2.779 - -17.221. Sort w, 4/7, 1/5 in ascending order.
1/5, 4/7, w
Suppose -122 = 6*x - 152. Put 0.5, -104, x in ascending order.
-104, 0.5, x
Suppose 2*t + b = -3*b - 4, -b + 8 = -4*t. Let w be (-3)/36*8 - 3/9. Put t, 1, w in ascending order.
t, w, 1
Let o(h) = -5*h + 0*h + h + 2*h + h**2 - 31. Let n be o(7). Put -4, n, 13 in descending order.
13, n, -4
Let j = 6 - 2. Suppose -5*s + 0*s = 25, 0 = -3*i - 5*s - 22. Let x = 5 + -3. Sort i, j, x in decreasing order.
j, x, i
Let p = 28.7 - 28.72. Sort p, 4/3, 0.3, -5 in descending order.
4/3, 0.3, p, -5
Let i be (-3)/(-9)*(2 - -13). Let k be (-1)/3 - (-105)/(-9). Let d be i/(-2)*k/(-15). Put -4, d, -3 in increasing order.
-4, -3, d
Suppose -15*c = -16*c + 5. Suppose 4*r = -5*d, -3*d - 3*r = 2*d + c. Sort 1, d, -2 in decreasing order.
1, -2, d
Let g = -1.2 - 0.8. Let m = -7 - g. Sort -2, m, -0.3 in increasing order.
m, -2, -0.3
Let i = -3 + 2. Let x be 0 + i*(0 - -4). Let u = 44.84 + -44.84. Sort 5, u, x in ascending order.
x, u, 5
Suppose 3*q - 2*q = -5*u + 9, 4*q - 102 = 2*u. Suppose 2*n - 6*n + q = 0. Let v be 0 + -1 + n/3. Put v, 4, 3 in increasing order.
v, 3, 4
Suppose 7 = n - 0. Let z = -0.19 + -2.81. Put 3, z, n in increasing order.
z, 3, n
Let v = -1259.5 + 1259. Put -0.1, v, 2/7, -0.26 in increasing order.
v, -0.26, -0.1, 2/7
Let f(y) = 2*y**2 + 38*y - 1. Let i be f(-19). Let l be (i - -1)/(0 + 1). Sort 5, 3, l.
l, 3, 5
Let s = -1756 - -1751. Let t = -6 - -2. Sort t, 0, s, 4.
s, t, 0, 4
Let g = -6.4 + 4.1. Let d = g - -2.8. Put d, 0.4, 5/2, 3/4 in decreasing order.
5/2, 3/4, d, 0.4
Suppose 0 = -3*l + 2*g + 370, 375 = 6*l - 3*l + 3*g. Sort l, 2, -4 in descending order.
l, 2, -4
Let w = -118 - -124. Suppose 4*v + 9 + 13 = 5*i, -5*i - 2 = 4*v. Put w, v, -7, -2 in increasing order.
-7, v, -2, w
Let g(r) = -r**2 - 4*r + 7. Let x be g(-5). Suppose -b = -3*p + 15, -2*p = 3*b - 12 + x. Let h be p/(-5)*(18 - -1). Put h, -5, -2 in ascending order.
h, -5, -2
Let b be 2/5*(-5)/13. Let w = 409 + -409.2. Sort b, w, 0.
w, b, 0
Let x be (2 - 2)/(3 + -4). Suppose -4*p = -5*y + p, 2*y - 3*p + 4 = x. Suppose 10*d = 5*d. Put y, 2, d in increasing order.
d, 2, y
Let o = -2544 + 2539. Suppose 2*z - 5*z = -3. Put z, -2, o, -3 in decreasing order.
z, -2, -3, o
Suppose 6 = -i + 4*k - 7, 4*k - 33 = 5*i. Let t(m) = m + 12. Let d be t(-7). Put -3, d, i, 2 in decreasing order.
d, 2, -3, i
Let v be (-1 + 6/3)/1. Let z be (-118)/28 - (v - 3). Let k = z - -5/7. Sort k, -4, 1 in descending order.
1, k, -4
Let s = -2 - -3. Let h = s + -0.99. Let b = -5.01 + h. Sort b, 0.1, 5/4.
b, 0.1, 5/4
Let s = -1 - 5. Let m = -3 - s. Put m, 1/4, 1 in descending order.
m, 1, 1/4
Let a = -0.101 - -2.101. Put 2/13, -1, a, 22 in descending order.
22, a, 2/13, -1
Let k(w) = -5*w - 6. Let s be k(-1). Let o be (-4)/14 - (-36)/(-21). Sort 16, s, -3, o in decreasing order.
16, s, o, -3
Let j(g) = -g**2 - 46*g - 335. Let a be j(-37). Put 5, -322, a, 2 in ascending order.
-322, a, 2, 5
Let b = -578 + 582. Sort -45, 0, b in ascending order.
-45, 0, b
Let x = -2.72 + -0.28. Sort -4, -0.5, 0, x in descending order.
0, -0.5, x, -4
Let a = 105 - 65. Suppose 2*v - 7*v + a = 0. Let b = 10655 + -10658. Put v, b, -2 in decreasing order.
v, -2, b
Let l(m) = 3*m + 35. Let j be l(-12). Put -0.1, j, -0.4, -2 in increasing order.
-2, j, -0.4, -0.1
Let d = -22 - -87. Let h = d - 131/2. Sort 5/2, h, -3 in decreasing order.
5/2, h, -3
Suppose 5*p + 9*d = 8*d + 6, -42 = -p + 10*d. Let f(s) = -s**2 - 5*s - 2. Let m be f(-5). Let n be (2/((-2)/2))/2. Sort n, m, p in descending order.
p, n, m
Let c(s) = s**2 - 3. Let z be c(0). Let f = z - -5. Let p be 6/21 - (-16)/(-7). Sort f, p, -5 in decreasing order.
f, p, -5
Let y(u) = -87*u - 350. Let x be y(-4). Sort 4, -6, -3, x in descending order.
4, x, -3, -6
Let u be 1/2*12/(-30). Suppose -4*t - 3 = -t. Let c be 5 + (-6 - (t + -1)). Sort c, u, 2 in decreasing order.
2, c, u
Suppose 0 = -o - 3, x = 3*x - 4*o - 26. Let v = -13 + -4. Let b be (v + 22)/(1 - 0). Put b, -2, x in ascending order.
-2, b, x
Let v be ((-6)/(-10))/((-3)/15). Sort -1, 5, v, -2 in decreasing order.
5, -1, -2, v
Let j be (-11)/6 - (-3 - -1). Let b be 15/6 - (5 - 55/10). Put j, 3/2, b, 0.01 in decreasing order.
b, 3/2, j, 0.01
Suppose 0*r = o - 4*r, -3*o - 4*r = 16. Let f be 2 - | {
"pile_set_name": "DM Mathematics"
} |
. Let g be 2 + 0 + w + 3. Let q(x) = 6*x**3 - x**2 + 3*x - 2. Let r be q(1). What is the highest common divisor of g and r?
3
Suppose -168 - 184 = -8*t. Calculate the highest common factor of t and 44.
44
Let d be (2 - -3)/(15/6). Suppose -d*y - y = -18. Calculate the greatest common factor of y and 24.
6
Suppose -5*t + 2*c + 334 = 0, -3*t - t + 287 = 5*c. Calculate the greatest common divisor of 1156 and t.
68
Let m = -386 - -491. Calculate the highest common factor of 30 and m.
15
Let t be (3564/48)/(2/8). Let z be (2/3)/(6/t). Let a be ((-2)/3)/(2/(-9)). Calculate the greatest common factor of z and a.
3
Let q(n) = -2*n + 5*n + 8*n + 9 + 5. Let z be q(2). What is the greatest common divisor of z and 288?
36
Let g be ((-60)/(-2))/(11 - 10). Let q = -213 + 363. Calculate the highest common factor of q and g.
30
Let o(q) = q**3 + 7*q**2 - 12*q - 78. Let c be o(-7). What is the highest common divisor of 4 and c?
2
Let b be 2/(-13) + (-11745)/(-39). Suppose -3*k = -4*l - 289, 3*k + 2*l - b = -0*l. What is the highest common divisor of 11 and k?
11
Let a = -11 + 17. Suppose -a + 15 = p. Suppose 28 = 4*m - 4*u, m - 22 = -4*u - 5. Calculate the greatest common divisor of m and p.
9
Suppose 4*y - 1972 = 4*x, y + 5*x - x - 498 = 0. Suppose -18*b + y = -5*b. What is the highest common factor of 19 and b?
19
Let x be ((-93)/6 - 1)*(-340)/15. Suppose o + 22 = -3*n + 310, -4*n + x = -2*o. What is the highest common factor of n and 19?
19
Let x be 1*(-1 + (3 - 3) + 3). Suppose 0 = 3*c - 6, 2*t + x = 2*c + 110. What is the greatest common divisor of t and 28?
28
Let z = 12 + -7. Suppose z*c - 5*t + 425 = 0, 2 = -2*c - t - 165. Let s be c/(-8) + (-9)/(-6). Calculate the highest common factor of s and 18.
6
Let c = 14 - 9. Let j = -16 + 20. Suppose 0 = -5*x - 4*r - 4 - 3, j*r = 2*x - 14. What is the greatest common divisor of x and c?
1
Let z be 5*1*(-108)/(-30). Let u be (-6)/(-3) + 6 + z. What is the greatest common divisor of 39 and u?
13
Suppose 0 = -4*k - 5*t - 27 - 140, -t + 5 = 0. Let h = k + 66. What is the greatest common factor of 126 and h?
18
Let m = 38 + -12. Let a = 434 - 235. Suppose -2*w + a = -217. What is the greatest common factor of m and w?
26
Suppose -32 = l - 357. Let a = l + -171. Calculate the greatest common divisor of 22 and a.
22
Let o = 179 - 159. What is the highest common factor of o and 500?
20
Suppose -12*s - 17 = -53. Calculate the greatest common divisor of 33 and s.
3
Let i(p) = -p**3 + p**2 + 5*p + 20. Let y be i(0). Suppose -3*g + g - l + 20 = 0, g + l = 12. What is the highest common divisor of y and g?
4
Let r be (-39)/(-10) - (-27)/270. Let y be ((-1)/(-1))/(1/2). Suppose -4*z + 14 = -y. Calculate the greatest common factor of r and z.
4
Let t be (3 + -2)*-1 - 0. Let f be (-70)/(-20) - t/(-2). Suppose f*y + 0*y = 33. Calculate the greatest common divisor of 11 and y.
11
Let u be (-8 - -1)/(12/(-36)). Suppose t - 3 = -3*m - 15, 2*t + 4*m = -14. What is the highest common divisor of u and t?
3
Let g(y) = 2*y**2 - 2. Let c be g(3). Let h = 15 - 21. Let x be (-2*3)/(h/40). What is the greatest common divisor of c and x?
8
Let n = -663 - -674. What is the highest common factor of 31 and n?
1
Let f = 377 - -176. Suppose -4*r = -f + 217. Calculate the greatest common divisor of r and 12.
12
Suppose -w + 4*w - 54 = 4*h, 0 = h + 3*w + 21. Suppose y - 28 = -o, 4*o - 4*y + y = 98. Let u = o + h. What is the greatest common factor of u and 1?
1
Let c(u) = u**3 + 9*u**2 - 33*u + 73. Let t be c(-12). What is the greatest common divisor of t and 111?
37
Suppose w = 5*w - 144. Let g be 8/12 + (-56)/3. Let i be 9/g + 37/2. What is the greatest common divisor of w and i?
18
Let u be 4 - 7 - (-13 + 10). Suppose -75 = -0*x - 5*x. Suppose b = -u + x. Calculate the greatest common divisor of b and 45.
15
Let b = 54 - 51. Suppose a + 5 = l + 4, -2*a = b*l - 13. Suppose 1 + 1 = 2*h. What is the greatest common factor of h and a?
1
Let b(d) = -56*d - 363. Let t be b(-8). Calculate the greatest common factor of 187 and t.
17
Let a be 1 - (-31)/(-5) - (-9)/45. Let q be 0/(-2) - (a - (-2 + 5)). Calculate the greatest common divisor of 56 and q.
8
Let r(i) = -45*i - 9. Let l be r(-2). What is the greatest common factor of l and 27?
27
Let y be (-9)/(-2 - 44/(-24)). Suppose 5*x + 2*b = -b + 74, -5*b + y = 4*x. What is the greatest common factor of 16 and x?
16
Suppose -9*r + 15*r - 54 = 0. Suppose 141 + 183 = r*i. Calculate the highest common divisor of i and 12.
12
Let p(m) = m**3 - 5*m**2 - 4*m - 10. Let k be 4/(2*(-1 + 0)). Let r be (-27)/(-4) - k/8. Let t be p(r). What is the greatest common factor of 12 and t?
12
Let a be (2 + 2 + -1)*(-60)/(-36). What is the highest common factor of 845 and a?
5
Let k be (-6)/(-3)*1 - (-629 - -1). Suppose 0 = -3*q - 6*q + k. Calculate the highest common factor of 28 and q.
14
Suppose 25*a - 29*a - 86 = -3*o, -4*a - 146 = -5*o. Calculate the greatest common factor of 270 and o.
30
Let n be 3*(-3 - (-8)/4). Let d be ((-12)/(-5))/(n/(-10)). Calculate the highest common factor of 8 and d.
8
Suppose 3*q + 0*q + 4*n = 17, 23 = 3*q - 2*n. Suppose -2*x - 1 = -q. Let j = -605 + 632. What is the greatest common divisor of x and j?
3
Let d be (6/(-2))/((-1)/7). Suppose -g + 13 = -d. Let m = -4 + g. Calculate the greatest common divisor of 12 and m.
6
Let d(x) = 21*x - 33. Let n(l) = 41*l - 65. Let u(y) = 5*d(y) - 2*n(y). Let b be u(5). Calculate the greatest common divisor of 120 and b.
40
Let j = 1123 + -491. What is the highest common divisor of 8 and j?
8
Let s = 47 + -37. Let t be ((-64)/s)/((-20)/150). Calculate the highest common divisor of 32 and t.
16
Let g(j) = 5*j**2 + j. Suppose -w + 0*y = 5*y - 13, 23 = 5*w + 4*y. Let c be g(w). What is the greatest common factor of 24 and c?
24
Let t(q) = 2*q**3 + 21*q**2 + 10*q + 20. Let l be t(-10). Calculate the greatest common factor of l and 80.
20
Suppose -n + 4*h + 21 = 0, n + n = h + 14. Let a(o) = -n - 1 + 2*o + 89*o**2 + 5. Let p be a(1). Calculate the greatest common divisor of p and 36.
18
Let i(k) = -2*k + 12. Let z be i(4). Suppose -z*p = 4*o - 119 + 3, -3*o = 9. Calculate the highest common divisor of p and 16.
16
Let p(b) = 13*b - 717. Let r be p(57). What is the greatest common factor of 376 and r?
8
Suppose -2*b + k - 1160 = -6*b, 3*b + 5*k = 887. Let n(o) = -o**2 - 29*o - 151. Let h be n(-8). What is the greatest common divisor of h and b?
17
Let x = -22 + 42. Let i = 71 + 9. Calculate the highest common divisor of i and x.
20
Suppose 1390 = 4*o - 2*i, -2*o + 4*i + 705 = 5*i. Let h = 161 + -157. Let n be (h - 10/15)*(-63)/(-6). What is the greatest common divisor of o and n?
35
Suppose 13*k - 17*k = 44. Let b = k + 73. Calculate the greatest common divisor of 93 and b.
31
Suppose 4*g + 3 + 25 = 0. Let n be (-3)/g + (-24)/56. Suppose n = 5*h - 369 - 396. Calculate the highest common divisor of h and 17.
17
Let c(l) = -3*l - 8. Let y be c(-6). Suppose 0 = 9*f - y*f + 110. What is the greatest common factor of 44 and f?
22
Let u = -16 - -27. Let z(x) = -3*x + 78. Let v be z(24). Suppose 5*l - 55 = 5*g, -5*l + 55 = 2*g - v*g. Calculate the greatest common divisor of l and u.
11
Let g be 38/(-6) - (-6)/(-9). Let m be -1 + g*(-3 - -2). Calculate the greatest common factor of 6 and m.
6
Let o be 27/(-6)*(2 - 4). Let p = o - -29. Suppose -9 = -3*b, -5*f + p = 4*b - 3*b. What is the highest common divisor of f and 7?
7
Let m = 109 - 177. Let o be (m/(-8))/((-2)/(-4)). Calculate the greatest common factor of 51 and o.
17
Let o(g) = g**2 + 2*g. Let p be o(-6). Let a(b) = 11*b - 65. Let u be a(7). Calculate the highest common factor of u and p.
12
Let i(f) = 8*f + 246. Let l be i(-26). Calculate the greatest common factor of 703 and l.
19
Suppose -4*d + 23 - 387 = -4*h, 185 = 2*h - 5*d. Let f = -15266 - -15401. Calculate the greatest common divisor of h and f.
45
Suppose o + 5*t - 93 + 73 = 0, 4*o = -5*t + 80. What is the highest common factor of o and 70?
10
Let c(m) = 0*m + 8 - 10 - 11 + 3*m. Let r be c(6). Suppose r*l + 31 = 3*u - u, -4 = 2*u + 2*l. What is the greatest common factor of u and 1?
1
Suppose -522 = -16*l + 278. Let f = -186 - -261. What is the highest common divisor of f and l?
25
Let n(s) = 19*s**3 - s**2 + 26*s - 79. Let i be n(4). What is th | {
"pile_set_name": "DM Mathematics"
} |
46, 73
Put -0.5, -1, 0.5, -67, 4/3 in increasing order.
-67, -1, -0.5, 0.5, 4/3
Put 2/5, -0.5, -13318, 3, -2, 2/11 in ascending order.
-13318, -2, -0.5, 2/11, 2/5, 3
Put -1, 26, -5, -3, 5, 362 in descending order.
362, 26, 5, -1, -3, -5
Put 5, 1, -2, -3, 4, 23 in decreasing order.
23, 5, 4, 1, -2, -3
Sort -8, -1, -4, 2, 0, 12 in descending order.
12, 2, 0, -1, -4, -8
Sort -2, -8, -4, 1, -0.6 in decreasing order.
1, -0.6, -2, -4, -8
Put -214, -16, -5, -3, 4, 0 in descending order.
4, 0, -3, -5, -16, -214
Sort -231, 5, -29 in descending order.
5, -29, -231
Sort -1, -3/4, 0.2, 93, 2 in descending order.
93, 2, 0.2, -3/4, -1
Put -9, -5, -6, -1, 16 in decreasing order.
16, -1, -5, -6, -9
Put 2399, 4/5, 2/11, 1 in descending order.
2399, 1, 4/5, 2/11
Put 0.4, 4, -1/6, 4154, 5 in increasing order.
-1/6, 0.4, 4, 5, 4154
Sort -2/7, 0.2, 7579/2, 0.1, 2/5 in descending order.
7579/2, 2/5, 0.2, 0.1, -2/7
Put -6, -4, -0.5, 3, -0.2332 in increasing order.
-6, -4, -0.5, -0.2332, 3
Sort -10, 2, -273, 3 in descending order.
3, 2, -10, -273
Sort 2/17, -0.0098, -1/2, 67 in ascending order.
-1/2, -0.0098, 2/17, 67
Put -7, 2, -3, -1502 in increasing order.
-1502, -7, -3, 2
Sort 0, 5, 58974, -5 in ascending order.
-5, 0, 5, 58974
Sort -255, 1, -14.
-255, -14, 1
Put 1/2, 270538, -1/6 in descending order.
270538, 1/2, -1/6
Sort 30, 29, 21, 5.
5, 21, 29, 30
Sort 12, -4, -3, 2, -2.
-4, -3, -2, 2, 12
Put -4, -2, -1, -250480, -3 in descending order.
-1, -2, -3, -4, -250480
Sort -3, 2/11, 726.1 in decreasing order.
726.1, 2/11, -3
Sort 5, 3, 29, 1, 215, -1.
-1, 1, 3, 5, 29, 215
Put 1, 0.3, -2, -1, -0.45 in decreasing order.
1, 0.3, -0.45, -1, -2
Put 5, 1, 3, -15 in descending order.
5, 3, 1, -15
Sort 31, 10, 0, -261, -3.
-261, -3, 0, 10, 31
Put -3, -13372, -4, 3, 4 in decreasing order.
4, 3, -3, -4, -13372
Put -4, 1709, 3, 1 in descending order.
1709, 3, 1, -4
Put -3, -2, -285, -1, -5 in decreasing order.
-1, -2, -3, -5, -285
Sort 8, -2/5, 68, -22.6 in ascending order.
-22.6, -2/5, 8, 68
Sort -172, -1, 179 in increasing order.
-172, -1, 179
Sort -124/5, -1, -0.3 in ascending order.
-124/5, -1, -0.3
Sort -3, 0, -672, -1 in ascending order.
-672, -3, -1, 0
Put -4/9, -390, -5, 2/5 in descending order.
2/5, -4/9, -5, -390
Sort -3, 22/25, -0.3, 2.
-3, -0.3, 22/25, 2
Put -1, 3, -4, 2479, -3, 1 in descending order.
2479, 3, 1, -1, -3, -4
Sort -4.7, 0, -4, 1/4, 3/4 in ascending order.
-4.7, -4, 0, 1/4, 3/4
Sort 4, 1333, -45, -4/7 in decreasing order.
1333, 4, -4/7, -45
Sort 3, -1196, 2, -5/6 in descending order.
3, 2, -5/6, -1196
Put 10, -5, 22, -6 in decreasing order.
22, 10, -5, -6
Sort 0, 21, 6, 46 in ascending order.
0, 6, 21, 46
Sort 5, 37, 1256 in ascending order.
5, 37, 1256
Put -98, 7, 1, -2, 0 in increasing order.
-98, -2, 0, 1, 7
Put -191, -5964, -1 in decreasing order.
-1, -191, -5964
Sort -2/7, 96, 7, -0.3 in increasing order.
-0.3, -2/7, 7, 96
Put -16, 38, 7, 503, -2, 4 in increasing order.
-16, -2, 4, 7, 38, 503
Put 465, -746, 0 in increasing order.
-746, 0, 465
Sort 80, 0.4, -1734 in decreasing order.
80, 0.4, -1734
Put -37, 5, 4, -1597 in increasing order.
-1597, -37, 4, 5
Put -17, -41, 264 in decreasing order.
264, -17, -41
Put 30, 5, -5, -1, -2 in decreasing order.
30, 5, -1, -2, -5
Sort -7391, 3, -7.
-7391, -7, 3
Put 3, 5, 9, -208 in increasing order.
-208, 3, 5, 9
Sort 46, -1/7, 0.5, 3, -0.0057 in ascending order.
-1/7, -0.0057, 0.5, 3, 46
Put 0.1, -45, 353 in descending order.
353, 0.1, -45
Put -13, 3, 0, 6, -5 in ascending order.
-13, -5, 0, 3, 6
Put -0.2, -0.5, 2, 7/19300 in descending order.
2, 7/19300, -0.2, -0.5
Sort 13, -5, 3, -24, 4, -4.
-24, -5, -4, 3, 4, 13
Put 31, -7, -890 in descending order.
31, -7, -890
Sort -255, 4, -1, 8.
-255, -1, 4, 8
Sort 15, -6, -55, 4, 0, -1 in decreasing order.
15, 4, 0, -1, -6, -55
Put -3, -4, 2303 in increasing order.
-4, -3, 2303
Sort -3/11, 177, -213.
-213, -3/11, 177
Put -4, 2.048, -0.2, 2, -5 in increasing order.
-5, -4, -0.2, 2, 2.048
Put 0, -0.5, -0.31 in descending order.
0, -0.31, -0.5
Put -3, 0, 1, -14269 in decreasing order.
1, 0, -3, -14269
Put 16, 1, -2, 268, -9 in ascending order.
-9, -2, 1, 16, 268
Sort 0.1, -917, -0.5, -3, 0.3, 0.5 in ascending order.
-917, -3, -0.5, 0.1, 0.3, 0.5
Put -2, -430, -11 in decreasing order.
-2, -11, -430
Sort 5, -2, -0.4, 10/7, -1/5, -4.
-4, -2, -0.4, -1/5, 10/7, 5
Sort -5, 6, -91, -4 in decreasing order.
6, -4, -5, -91
Put 0.4, 0.87, -0.6, -9 in descending order.
0.87, 0.4, -0.6, -9
Sort 816, 4, 3, -4, -3 in descending order.
816, 4, 3, -3, -4
Sort 0, 47, 12, -26, -4, 2 in descending order.
47, 12, 2, 0, -4, -26
Sort -13, -0.17, 4/3, -0.4, -2/3, 7 in decreasing order.
7, 4/3, -0.17, -0.4, -2/3, -13
Sort -4, -73, 114 in ascending order.
-73, -4, 114
Put -6, 364, -4, 2, 5 in decreasing order.
364, 5, 2, -4, -6
Sort 3/7, -8, 2/5, 6, -1/11 in ascending order.
-8, -1/11, 2/5, 3/7, 6
Put 312, -70, 6, 5 in increasing order.
-70, 5, 6, 312
Put -5, -1/95, -4, -478, 0.11, 2 in ascending order.
-478, -5, -4, -1/95, 0.11, 2
Put 156, 48, 16 in ascending order.
16, 48, 156
Put -0.151, -5, -38.6, -3 in decreasing order.
-0.151, -3, -5, -38.6
Sort -0.09, 16.9, -2 in decreasing order.
16.9, -0.09, -2
Put -300/13, 2, 3, -3, 0.6, -1 in decreasing order.
3, 2, 0.6, -1, -3, -300/13
Sort -429, -5, -10, -4 in decreasing order.
-4, -5, -10, -429
Sort -3/7, -3412, -3, 4/5, -4.
-3412, -4, -3, -3/7, 4/5
Sort 22, -1, -4, 194, 3.
-4, -1, 3, 22, 194
Put 0.4, -5, 3/5, 4, -1/83 in ascending order.
-5, -1/83, 0.4, 3/5, 4
Sort -44, -4351, -7 in ascending order.
-4351, -44, -7
Put 2/11, 0, -4, 0.018 in decreasing order.
2/11, 0.018, 0, -4
Sort -8, -28059, 3, -6 in decreasing order.
3, -6, -8, -28059
Sort -1288, -0.1, 514.
-1288, -0.1, 514
Sort -5, -0.068, 44.
-5, -0.068, 44
Put -403, -6, 13, 3 in decreasing order.
13, 3, -6, -403
Sort 227, 5, 0, -26, -55 in decreasing order.
227, 5, 0, -26, -55
Sort -5, 1, 29, -0.06, -8 in descending order.
29, 1, -0.06, -5, -8
Sort -7, -2, 1764.
-7, -2, 1764
Put -172446, -5, -4 in descending order.
-4, -5, -172446
Put -0.0292, 34, 4 in increasing order.
-0.0292, 4, 34
Put 2, 8, -68, 5, -6 in descending order.
8, 5, 2, -6, -68
Sort -2/5, 1770, 0.1, -1/6, 2, 3 in decreasing order.
1770, 3, 2, 0.1, -1/6, -2/5
Sort -8, 0, -1, -3, -2, 27 in increasing order.
-8, -3, -2, -1, 0, 27
Sort -3, 611, 993.
-3, 611, 993
Put 5, -31/625, -1.8, -2/7, 4 in ascending order.
-1.8, -2/7, -31/625, 4, 5
Sort -4, 1.3542, 0.03.
-4, 0.03, 1.3542
Put -2, 4, 83, 0, -1 in decreasing order.
83, 4, 0, -1, -2
Put 0.4, -2, 0.3, -0.4, -28, -140 in ascending order.
-140, -28, -2, -0.4, 0.3, 0.4
Sort 1/4, -916, 53, -0.4, -1/4.
-916, -0.4, -1/4, 1/4, 53
Sort -1, 6, -5045.
-5045, -1, 6
Put 3, -4, -1, 4, 18930, 5 in descending order.
18930, 5, 4, 3, -1, -4
Sort -5, -1, -63413 in ascending order.
-63413, -5, -1
Sort -76, 6, -4, 1, 4 in descending order.
6, 4, 1, -4, -76
Sort 1, -6, 3, 79974, -1, 0 in ascending order.
-6, -1, 0, 1, 3, 79974
Sort -70, 6, 3, -24 in increasing order.
-70, -24, 3, 6
Put 78, 1, 24 in decreasing order.
78, 24, 1
Put -4, -2/1233, 18/11 in descending order.
18/11, -2/1233, -4
Sort 6, -2/9, -3/4, -323, -1, 2/7.
-323, -1, -3/4, -2/9, 2/7, 6
Put 5, 689, 74 in decreasing order.
689, 74, 5
Sort 64, 4, -1605, -5.
-1605, -5, 4, 64
Put 36, -11, -23 in descending order.
36, -11, -23
Put -116, -1, -0.2, 0.15, -3/7 in increasing order.
-116, -1, -3/7, -0.2, 0.15
Sort -9, -1197, 15 in increasing order.
-1197, -9, 15
Put -6, -2, -37, -5, 7 in ascending order.
-37, -6, -5, -2, 7
Sort 4, 244.31, 5, 2 in descending order.
244.31, 5, 4, 2
Sort -0.2, -3/7, 2, 5.53, 3.
-3/7, -0.2, 2, 3, 5.53
Sort 0.6, -62, 1/3, -0.2, -2/5 in descending order.
0.6, 1/3, -0.2, -2/5, -62
Sort -120, 3137, -5, -1 in ascending order.
-120, -5, -1, 3137
Sort 1.4, 0.02, -19829 in increasing order.
-19829, 0.02, 1.4
Put -4, 121, -45, -47 in decreasing order.
121, -4, -45, -47
Sort 1, -62, -272, -5.
-272, -62, -5, 1
Sort -47, 47, -4 in descending order.
47, -4, -47
Put 2, 0.5, 19, 0.3, 117 in increasing order.
0.3, 0.5, 2, 19, 117
Put -5, 7, -647, -0.1 in decreasing order.
7, -0.1, -5, -647
Put 0.9, 179, 1, -5 in descending order.
179, 1, 0.9, -5
Sort 4, 0, 50, 3, -3, -7 in increasing order.
-7, -3, 0, 3, 4, 50
Put 4, -119, -1/27, | {
"pile_set_name": "DM Mathematics"
} |
s positive.
l**(-134/7)
Simplify u*u**2/u*(u/(u*u**(-27))*u)/u assuming u is positive.
u**29
Simplify ((b**(-4/5)*b)/(b/(b/(b*b**(-1/3)*b))))/((b*b**(-2))/b**(-2/35)) assuming b is positive.
b**(-11/21)
Simplify r**24/(r**30*r) assuming r is positive.
r**(-7)
Simplify (s**(3/5)*s*s**(-1/4))/((s*s*s**(-1/3)/s*s)/s**(2/7)) assuming s is positive.
s**(-13/420)
Simplify (l**(-1/4)*l**(2/27))**50 assuming l is positive.
l**(-475/54)
Simplify ((y/(y**(-2/7)/y))**(4/23))**(9/7) assuming y is positive.
y**(576/1127)
Simplify b/b**(-12)*b/b**(-5/2) assuming b is positive.
b**(33/2)
Simplify (g/g**25)**(-29) assuming g is positive.
g**696
Simplify ((z**11*z)/z)**(-8/3) assuming z is positive.
z**(-88/3)
Simplify (t*t**(2/7))**(-8)*(t*t*t*t**3)/(t/(t**(-7)/t)) assuming t is positive.
t**(-93/7)
Simplify (m*m**(2/7)/m)/m*m**(2/67) assuming m is positive.
m**(-321/469)
Simplify (a*a**(2/9))**(-1/22)/(a**(1/4))**(-7) assuming a is positive.
a**(61/36)
Simplify c**0/c**(2/29) assuming c is positive.
c**(-2/29)
Simplify j**(2/45)/((j/j**(-7))/j) assuming j is positive.
j**(-313/45)
Simplify (((u**5*u)/u)/u**8)/(u**(-2/3))**(-35/3) assuming u is positive.
u**(-97/9)
Simplify f/f**(2/13)*f*f*f/f**7*f*f**(-1/4)*f**0 assuming f is positive.
f**(-125/52)
Simplify ((h*h**(2/17))/(h/(h*h/(h**0*h)*h)))**(7/5) assuming h is positive.
h**(252/85)
Simplify (i*i**(-12))**(-2/43) assuming i is positive.
i**(22/43)
Simplify (a*a/(a*a*a**(-3))*a*(a**(-4)*a)/a)/(a**(1/5)*(a*(a/((a*a**(-5)*a)/a)*a*a)/a)/a*a) assuming a is positive.
a**(-36/5)
Simplify (((n**(-1/3)/n)/n)/n**(3/2))/((n**2*n)/n**(2/5)) assuming n is positive.
n**(-193/30)
Simplify ((v/v**(3/8))/v**(-5))/(v/v**3*v*v/(v*v/(v*(v/(v**(-4/5)/v))/v))) assuming v is positive.
v**(193/40)
Simplify ((h**(2/15)*h*h)/((h*h**(-5/3))/h*h*h))**(1/18) assuming h is positive.
h**(1/10)
Simplify w**4*((w**3/w)/w)/w*w**9/(w*w**(-5/3)) assuming w is positive.
w**(41/3)
Simplify b*b**6*b*b**(-3/8)*(b**(-1/4)/b*b)**(-26) assuming b is positive.
b**(113/8)
Simplify ((a**(7/2)/a)**13)**3 assuming a is positive.
a**(195/2)
Simplify (g*g*g*g/(g*(g/(g**2/g))/g))**48 assuming g is positive.
g**192
Simplify j**(-3/19)*((j**(-13)/j*j)/j)/j assuming j is positive.
j**(-288/19)
Simplify g**(5/11)*g*g**(-24) assuming g is positive.
g**(-248/11)
Simplify ((l*l**(-2/3)*l*l)**(-30))**(-24) assuming l is positive.
l**1680
Simplify l**(-6)/(l*l**(-4/7)) assuming l is positive.
l**(-45/7)
Simplify b**17/b*b/b**26 assuming b is positive.
b**(-9)
Simplify s*s**(9/5)*s*s**(2/7)/s assuming s is positive.
s**(108/35)
Simplify (d*d*d**(-13))/(d**(-21)*d) assuming d is positive.
d**9
Simplify (y/(y*y/(y*y**(5/3))))**30 assuming y is positive.
y**50
Simplify (m**(3/7)/m*m*m*m**(-2/3))**(-1/12) assuming m is positive.
m**(-4/63)
Simplify y**(-2/37)/(y/(y/(y*y**(-5/3)/y*y)*y)) assuming y is positive.
y**(179/111)
Simplify (o**(1/15)/o*o/(o*((o/(o*o*o/(o**(7/5)/o)*o))/o)/o))**7 assuming o is positive.
o**(77/3)
Simplify ((l/((((l**(3/2)/l*l)/l)/l)/l)*l)/l**(-2/23))/(l**(1/2)/l*l**3) assuming l is positive.
l**(25/23)
Simplify (m/(m*(((m/((m**(-2/31)*m)/m))/m)/m)/m*m))/m**11 assuming m is positive.
m**(-312/31)
Simplify (y**(2/17)/y**3)/(y**0)**50 assuming y is positive.
y**(-49/17)
Simplify (w**2/(w**2/w))/(w*w**(-1/8)*w/(w*w**(-1/9))) assuming w is positive.
w**(1/72)
Simplify (l**(1/4))**(3/20)/(l**1*l**2) assuming l is positive.
l**(-237/80)
Simplify s/(s**(2/9)/s)*s/s**(-2/17) assuming s is positive.
s**(443/153)
Simplify i**18*i**6 assuming i is positive.
i**24
Simplify (h*h*(h/h**(-1))/h*h*h/h**(-2/5))/(h**(-6)/h**(2/9)) assuming h is positive.
h**(523/45)
Simplify (j/(j**(-10)*j))**(-35) assuming j is positive.
j**(-350)
Simplify ((v/(v**(2/33)/v))/v)**(-37) assuming v is positive.
v**(-1147/33)
Simplify (b**(-1))**(-1/33)*(b**(-2/3)*b)**(-23) assuming b is positive.
b**(-84/11)
Simplify (y*y**(-3/22))/(y/(((y*y**(5/2)*y)/y)/y)) assuming y is positive.
y**(26/11)
Simplify s/s**(7/2)*s*s**(-1/6) assuming s is positive.
s**(-5/3)
Simplify s**(4/3)/(s/(s*s/((s/s**4)/s))*s)*(s**1/s)**(-10) assuming s is positive.
s**(16/3)
Simplify t**(2/7)/(t/t**11) assuming t is positive.
t**(72/7)
Simplify ((t*t**(-1/4)*t*t)/t*t)**(-36)*t/(t**(2/9)/t)*t**(2/3) assuming t is positive.
t**(-869/9)
Simplify (z/(z*(z*z**(5/6))/z*z*z))**(-3) assuming z is positive.
z**(17/2)
Simplify (h*h/(h/(h/h**(1/3)*h)))**29*(h**(-2/7)/h)**1 assuming h is positive.
h**(1597/21)
Simplify (v**(-15/7))**0 assuming v is positive.
1
Simplify (c*(c*c/((c*c**(-2/5)/c)/c))/c*c)**(-1/34)/(((c*c**(-3/5))/c)/(c*((c**(-2/33)/c)/c)/c)) assuming c is positive.
c**(-892/561)
Simplify (r**(-1))**(-1/11)/(r**(1/4)/r)**(-3/4) assuming r is positive.
r**(-83/176)
Simplify (g/(g**(-12)/g))**(-15) assuming g is positive.
g**(-210)
Simplify (s*(s/s**1)/s*s**1*s)**46 assuming s is positive.
s**92
Simplify ((q**(-1/5)*q)/q*q*(q**(-1/9)*q*q)/q)/(q/(q/q**(2/5)))**(-23/3) assuming q is positive.
q**(214/45)
Simplify (g**23)**23 assuming g is positive.
g**529
Simplify (k*k/((k/(k**(-3/11)*k))/k*k)*k)/(k/((k*k*(k*k*k**(-2/19))/k)/k)*k)*(k/((k/k**(2/3))/k))**(-9) assuming k is positive.
k**(-2587/209)
Simplify (y**7*y*y**3)**24 assuming y is positive.
y**264
Simplify m/(m/m**(-20))*m/(m*m**6) assuming m is positive.
m**(-26)
Simplify ((i/(i**(-8/7)/i))/i*i*i*i**(1/5)*i)/(i**(-1/2))**(-22) assuming i is positive.
i**(-198/35)
Simplify g**(-37)/(g**10/g) assuming g is positive.
g**(-46)
Simplify ((m*m/(m/m**(-2/17)*m))/(m*m/(((m/m**5)/m)/m*m)))/(m**(1/14)*m**(-2/11)) assuming m is positive.
m**(-18345/2618)
Simplify (q/q**4)/q*q**(2/15)*q**(-2/7)/q*q**2 assuming q is positive.
q**(-331/105)
Simplify b**(-11)*(b/(b**(-40)/b))/b assuming b is positive.
b**30
Simplify i**(-2/9)/i*i/(i*i*i**6*i*i)*i**(-1/13)*((i/i**(-4))/i*i)/i*i assuming i is positive.
i**(-620/117)
Simplify (a**(4/7)*a/(a*(a**(-2/3)/a)/a)*a*a)/(((a/a**(-2))/a)/(a**(-2/19)/a)) assuming a is positive.
a**(851/399)
Simplify ((a*a**5*a)/a**(-7))/(a**(-7)*a**7) assuming a is positive.
a**14
Simplify q**(-1/7)/(q/(q**(-3/7)*q)) assuming q is positive.
q**(-4/7)
Simplify (y**0*y**6/y)**48 assuming y is positive.
y**240
Simplify (v/(v/(v*v**36)))/v*v*v*((v**30*v)/v)/v*v assuming v is positive.
v**68
Simplify (m**(-7))**(-23) assuming m is positive.
m**161
Simplify a**(2/7)/a**6*(a*a/(a/(a*a**(-2/9)))*a*a)**(-44) assuming a is positive.
a**(-10832/63)
Simplify (h*(h/h**(2/27))/h)/h*h**14 assuming h is positive.
h**(376/27)
Simplify ((a**(1/3)*a)/(a**(2/15)/a*a))/(a/(a*a**1))**(11/3) assuming a is positive.
a**(73/15)
Simplify (s**6*s**(-2/23)*s)/(s*s*s**(-2)*s)**40 assuming s is positive.
s**(-761/23)
Simplify ((t/t**6)/t**0)/(t**(-6/11)*t*t/(t/((t/(t/(t/(t*t**(-4)/t)*t))*t)/t*t))) assuming t is positive.
t**(-137/11)
Simplify ((s**7)**(2/35))**(-27) assuming s is positive.
s**(-54/5)
Simplify (b*b**21)**(29/3) assuming b is positive.
b**(638/3)
Simplify (v/(v/v**(-1/3))*(v/v**(-6))/v)**(2/15) assuming v is positive.
v**(34/45)
Simplify ((u*u*u/(u**(-4/7)*u))/u*u/u**(-2/23))/(u**(1/8)*u/(u**(-3)/u*u)*u*u*u*u) assuming u is positive.
u**(-7041/1288)
Simplify (j**(-5/2)/j**19)**(1/7) assuming j is positive.
j**(-43/14)
Simplify (v*v/v**(1/12))/v**(2/21) assuming v is positive.
v**(51/28)
Simplify ((s*s**(-23/4))/s)**(-47) assuming s is positive.
s**(1081/4)
Simplify (r/r**(2/21)*r*r*r*r**9)/(r/(r*(r/r**(-1/3))/r))**(-2/77) assuming r is positive.
r**(993/77)
Simplify (s*((s/(s**19*s)*s)/s)/s)/(s**(-7)*s) assuming s is positive.
s**(-13)
Simplify t*t**1*t*t*t**6*(t**(2/9))**(-29) assuming t is positive.
t**(32/9)
Simplify z**14/((z*z/z**(-8))/z) assuming z is positive.
z**5
Simplify (m/((m**(-7)/m)/m)*m*m**(-1/25)*m)**(-1/43) assuming m is positive.
m**(-299/1075)
Simplify ((r**(1/3))**(-30))**(-2/37) assuming r is positive.
r**(20/37)
Simplify p**(2/13)/p*p**(1/2) assuming p is positive.
p**(-9/26)
Simplify f/(f*f/(f/f**0)*f*f)*f**(1/7)*(f*f**(1/8)/f)/(f/f**8) assuming f is positive.
f**(295/56)
Simplify (d/(d/((d**(-19)*d)/d)*d))/(d/(((d*d**(3/25))/d)/d)*d) assuming d is positive.
d**(-572/25)
Simplify ((r**(-1/3)*r*r)/r**(-2/7))**0 assuming r is positive.
1
Simplify (k**(-7)/k*k**(-6))/((k*k*k**0/k)/k)**(-32) assuming k is positive.
k**(-14)
Simplify (u**(-12 | {
"pile_set_name": "DM Mathematics"
} |
72*sqrt(5) + 421
Simplify 5 + 1*sqrt(448) - (2*sqrt(448) + 2) - (-5*((sqrt(448) + -1 + sqrt(448))*6 - (1 + sqrt(448) + 0)))**2.
-1356422 + 30792*sqrt(7)
Simplify 2 + -3 + (-5 + -4*sqrt(17)*-1 - 4*(sqrt(102)/sqrt(6))**2*-6).
4*sqrt(17) + 402
Simplify -5 + sqrt(12)*-1 + -2 + 4 - (2 + (sqrt(42)/sqrt(2)*3)/(sqrt(847)*1)).
-5 - 25*sqrt(3)/11
Simplify (-4*(sqrt(152) - sqrt(152)*-5) + sqrt(152) + -4*sqrt(152)*4)/((2*4*sqrt(392) - sqrt(392))*1).
-39*sqrt(19)/49
Simplify (4*sqrt(1944) - sqrt(192)/sqrt(392))/((sqrt(384)*-1)/(sqrt(30)/(sqrt(10)*2))).
-251*sqrt(3)/56
Simplify (sqrt(39)*-1*-3)/((sqrt(84)/sqrt(4))/sqrt(7)) - (-2*(((-2*sqrt(13))**2*2 - sqrt(13)) + sqrt(13)) + (sqrt(13) + sqrt(208) + 4)*1).
-2*sqrt(13) + 204
Simplify 4 + 3*((sqrt(1372) + sqrt(1372)*-1 + sqrt(1792)*-2 + sqrt(1792))/(sqrt(36)/(-1*sqrt(9)*-3)))**2*-5.
-60476
Simplify (3 + (1*(0 + sqrt(684) + sqrt(684)) - sqrt(684))**2 + 1 - (4*(sqrt(684) + 0 + 5 + sqrt(684)) + 5)**2)*1.
-43713 - 2400*sqrt(19)
Simplify -3*(sqrt(252) - (0 + sqrt(252) + sqrt(252))**2)*4*-5 - (-1 + sqrt(252) + 2 - (0 + sqrt(252))*-6)**2.
-72829 + 276*sqrt(7)
Simplify 5*(((sqrt(500)*-3)/sqrt(10))/sqrt(2))/(sqrt(15)/(-2*sqrt(432) + sqrt(432))).
180*sqrt(5)
Simplify 0 + (-1*sqrt(1539)*-6)**2 + -5*(sqrt(19) + -5 + -2)**2*5.
350*sqrt(19) + 53704
Simplify (-6*((-1 + sqrt(153) + -1)*-2 + 3 + 3)*-4)**2.
-69120*sqrt(17) + 410112
Simplify (3*(sqrt(68) - (sqrt(68) + -5*1*sqrt(68)))*-5)/(((sqrt(240) - (sqrt(240) - -1*sqrt(240)))/sqrt(10))/(sqrt(24)/(sqrt(4) - sqrt(16))))*-5.
375*sqrt(17)
Simplify (-5*sqrt(9)/(-2*sqrt(432) + sqrt(3)) + 3*((sqrt(300) - (sqrt(300) + -4*sqrt(300))) + sqrt(300))*4)**2.
571734075/529
Simplify (0 + (-1*(0 + sqrt(612) - sqrt(612)) - -1*sqrt(612)*-5 - (sqrt(612) + -1 + sqrt(612) + -2 + (sqrt(612)*1 - sqrt(612))*-3))**2)*-5.
-149985 + 1260*sqrt(17)
Simplify -5 + (0 + 5 + 4 + ((sqrt(180) + 0 + sqrt(180) - sqrt(180))*-5 + sqrt(180) - 3*sqrt(180)*1) + -1)**2.
-672*sqrt(5) + 8879
Simplify -2*(((-1 + sqrt(175) - sqrt(175)) + -5)**2*1 - -5*(sqrt(28) + 0)*-3).
-72 + 60*sqrt(7)
Simplify (-3*(4 + sqrt(108)) - (-2 + (sqrt(72)*1)/sqrt(6)))**2*-5.
-6500 - 2000*sqrt(3)
Simplify ((sqrt(513) + (sqrt(513) - (sqrt(513) - ((-4*sqrt(513) - sqrt(513)) + sqrt(513)) - sqrt(513))))/sqrt(9)*1)/(sqrt(33)/((-1*sqrt(110))/sqrt(10)))*5.
10*sqrt(19)
Simplify ((sqrt(65) + (sqrt(65) - sqrt(65)*-3))*6 - sqrt(65))/(sqrt(245) + sqrt(245)*4) - ((0 + sqrt(1573))**2*-5 - (sqrt(1573) + (3*(0 + sqrt(1573)))**2)).
414*sqrt(13)/35 + 22022
Simplify 4*-1*(((sqrt(1053) + 0)*-6)**2 - -2*(-1 + sqrt(1053)))*6*5*-1.
2160*sqrt(13) + 4548720
Simplify (5 + 3 + 5 + 5*(sqrt(99) + -2)*3 + -2)**2.
-1710*sqrt(11) + 22636
Simplify ((4*(sqrt(56) - sqrt(56)*-1) - (sqrt(896) + sqrt(896) + (sqrt(896) - (sqrt(896)*3 + sqrt(896) + sqrt(896))) - sqrt(56)))/(-6*1*sqrt(128)*1))**2.
2023/576
Simplify 4*(4*(-1*((sqrt(1377) + 0)*4 - sqrt(1377)) + -2))**2*6.
41472*sqrt(17) + 4760448
Simplify (5 + ((sqrt(245) - (sqrt(245) + -1))*-5 + sqrt(245))**2*-6*-1 + -4)*4*6.
-10080*sqrt(5) + 38904
Simplify (-3*(1*1*sqrt(1260) - sqrt(1260)))/(-1*sqrt(10)/((sqrt(24) + sqrt(24)*1)/sqrt(12))).
0
Simplify ((sqrt(286)*1*-3)/(sqrt(176) + -2*sqrt(176)))/(sqrt(6)/sqrt(3)*-4 - ((sqrt(242)*2 - sqrt(242)) + sqrt(242) + sqrt(2))).
-sqrt(13)/36
Simplify (-2*((1 + sqrt(72) + sqrt(72))**2 + (-1*(sqrt(2) + -1))**2) - (2 + sqrt(242) - (sqrt(16)/sqrt(8) + -1)**2))*6.
-3498 - 342*sqrt(2)
Simplify (3 + (sqrt(45)*2*-1)/sqrt(9) + -3)**2 - (((-3*(1 + sqrt(80)))**2 - sqrt(80)) + (sqrt(80)*-1 + 2)**2)*5.
-4045 - 260*sqrt(5)
Simplify (-2 + 4*-6*sqrt(847) + sqrt(847) + 4*sqrt(7) + 0 + sqrt(63)/(sqrt(99)/sqrt(11)))**2.
992*sqrt(7) + 430532
Simplify (2 + (-5 + (1 + sqrt(1300) - sqrt(1300) - sqrt(1300)) + sqrt(1300) + -1 - (-1*sqrt(208) - (sqrt(13) - (sqrt(13) - -1*sqrt(52))))*-4) + 0)**2.
48*sqrt(13) + 841
Simplify 1*(4*((sqrt(832)*1*-5)**2 + sqrt(832)) + sqrt(832)*2 + 0 + (1*sqrt(832))**2 + 3).
48*sqrt(13) + 84035
Simplify ((-4*sqrt(5)*-1)**2 + -5*(sqrt(5) - (1 + sqrt(5) - sqrt(5)))**2 - (sqrt(150)/(sqrt(30)/sqrt(5)))/(2*(sqrt(80) - sqrt(5)) + sqrt(5)))*-1.
-50 - 69*sqrt(5)/7
Simplify (-6*(4*(sqrt(133) - -2*sqrt(133)) - (sqrt(133) - 6*(2*sqrt(133) - sqrt(133)))))/(-5*(sqrt(7) + (sqrt(7) - sqrt(784)/sqrt(7)))*-5).
51*sqrt(19)/25
Simplify (1*(5 + sqrt(13)) + -3 - (5*sqrt(1872) + sqrt(1872))*-5)**2*3.
4332*sqrt(13) + 5082531
Simplify -4*(3 + ((sqrt(84)/sqrt(64) - (sqrt(2541) - 2*sqrt(2541)))/(sqrt(6)/((-2*sqrt(12))/sqrt(6))))**2).
-14187
Simplify (-4*(-2 + (sqrt(720) + (sqrt(720) + sqrt(720) + 2)*-4 - (-3 + (sqrt(720) - (sqrt(720) + 2))))*6)*5)**2.
8064000*sqrt(5) + 508192000
Simplify ((sqrt(133) + (2*sqrt(133) + sqrt(133))*-3)/(sqrt(7) + (sqrt(28)*-3)/sqrt(4)))**2 - ((1*(sqrt(171) + -1))**2 - (4*(sqrt(19) - sqrt(304)*2))**2).
6*sqrt(19) + 15028
Simplify -1 + (5*1*(sqrt(180) + -1)*6*-6)**2.
-388800*sqrt(5) + 5864399
Simplify ((-1 + 5*(sqrt(50) + sqrt(2) + -3) + 5 + sqrt(4)/sqrt(2)*-1 + sqrt(2) + sqrt(4)/sqrt(2) + 0)*4)**2.
-10912*sqrt(2) + 32688
Simplify 3 + (-1*(sqrt(72) + sqrt(72)*-2*-6 - sqrt(72) - sqrt(72)) + -4 + sqrt(72)*-1*6*1 + 0)**2.
816*sqrt(2) + 20827
Simplify ((sqrt(85) - (sqrt(85) - sqrt(85)*1))*1 + sqrt(85) - (sqrt(85)*2*6 - sqrt(85)))/((2*sqrt(270) + sqrt(30))/sqrt(216)).
-54*sqrt(17)/7
Simplify 5 + 2*(5*sqrt(125)*1 - sqrt(125) - ((sqrt(125)*3)**2 + -4)) + -5.
-2242 + 40*sqrt(5)
Simplify -1 + -5 + 2*sqrt(2) + -2 + sqrt(2) + sqrt(14)/sqrt(343) + sqrt(2) + (sqrt(2) - (-3 + sqrt(2) + 1)) + -4.
-10 + 29*sqrt(2)/7
Simplify (-2 + -3*-4*sqrt(72))**2 - ((-2*(2 + sqrt(72)) - sqrt(72))**2 + (sqrt(72) - ((sqrt(72)*-2)**2 + sqrt(72) + 4))).
-432*sqrt(2) + 10000
Simplify (5*(sqrt(171) - (sqrt(171) - -4*-1*sqrt(171) - sqrt(171)) - sqrt(171))*-4)/((2*sqrt(90)*1)/(sqrt(40)/(sqrt(4)*2))).
-20*sqrt(19)
Simplify (sqrt(231)/(sqrt(11)*-3 - sqrt(11))*2)/(-2*(sqrt(448)*2 - sqrt(448))).
sqrt(3)/32
Simplify ((sqrt(19) - ((sqrt(19) + 2 + sqrt(19))*3)**2) + -5*-2*sqrt(19) + -3*(sqrt(1900)*-1 + 5))*4.
-2940 - 124*sqrt(19)
Simplify (-5 + sqrt(4)/sqrt(2)*2 + sqrt(2) - (sqrt(2) + sqrt(50)*5 + 0))**2 + 2 + 2.
230*sqrt(2) + 1087
Simplify (-5*2*sqrt(76) + sqrt(76) + sqrt(76) - (sqrt(76) - sqrt(76)*-3)*4)/((sqrt(2304) - (-1*sqrt(2304) - sqrt(2304)))/(-3*-1*sqrt(4))).
-2*sqrt(19)
Simplify (0 + 2*(0 + sqrt(1100)) - (-4*sqrt(275) - (5*sqrt(11)*-2 - sqrt(11))))**2.
9251
Simplify 4 + 1 + (-5*(3 + sqrt(567) + 1))**2 + (-5 + 2*(sqrt(567) + 1) + sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567)*-2*6)**2.
2178*sqrt(7) + 42372
Simplify (6*(-2*sqrt(114) + sqrt(114))*-5*4)/(((sqrt(60) - (2*sqrt(60)*5 - sqrt(60))) + sqrt(60))/(sqrt(120)/(sqrt(12)*-2))).
60*sqrt(19)/7
Simplify (((sqrt(198) - sqrt(198)*-2*4 - sqrt(198) - sqrt(198))/(sqrt(216)*2))/(5*(sqrt(363)*-1*-4 - sqrt(363))))**2.
49/356400
Simplify (-4*(sqrt(1200) + sqrt(1200)*3 - sqrt(12) - sqrt(12))/sqrt(4))**2 - (3 + sqrt(243) + -1 + 4).
-9*sqrt(3) + 69306
Simplify ((2*sqrt(117) - 3*-4*sqrt(13) - ((sqrt(1872) + sqrt(1872)*2 + 1 - sqrt(1872)) + -2)) + 4)**2*-5.
-2465 + 300*sqrt(13)
Simplify 2*(1 + ((6*((sqrt(720) + sqrt(720) + (sqrt(720)*2 - sqrt(720)) + sqrt(720))/sqrt(12) - sqrt(60)))/(-3*sqrt(48)*6))**2)*4.
18
Simplify (-3*(sqrt(80) + 0 + sqrt(80) + sqrt(80) + 1 + sqrt(80)))**2 + (sqrt(245) + 1)**2 + (sqrt(405) + 0 + sqrt(405) + sqrt(405) - sqrt(5))**2 + 5 + 0.
302*sqrt(5) + 15160
Simplify (-2*sqrt(363)*-4)**2 - (-5 + -3 + sqrt(363))**2 - (sqrt(24) - 3*sqrt(1944))/(-6*sqrt(24)/sqrt(3)).
515*sqrt(3)/3 + 22805
Simplify -4*-1*(sqrt(27)/sqrt(225) + 3 + (2*sqrt(3024) + sqrt(3024))/sqrt(7)).
12 + 724*sqrt(3)/5
Simplify (-5 + (sqrt(3) - (sqrt(3) - (sqrt(147) - sqrt(3))**2)) + sqrt(3) + sqrt(363) + sqrt(363) + 1 + (sqrt(72)/(sqrt(4)*1))/(6*sqrt(54)))*3.
415*sqrt(3)/6 + 312
Simplify (6*(-2*(sqrt(2156) + sqrt(2156) + (2*1*sqrt(2156) - sqrt(2156))))/((-5*(2*sqrt(16) + sqrt(16)))/(sqrt(484) - (sqrt(484) + 1*sqrt(484))))*4)**2.
150264576/25
Simplify ((3 + sqrt(125))*4)**2*1 + -4 + 1*sqrt(605) + (2*sqrt(605))**2 + 3.
491*sqrt(5) + 4563
Simplify -1*(sqrt(567) - (sqrt(567) + 0) - (sqrt(35)/sqrt(5))**2*5) + (sqrt(56)/sqrt(144))/(-2*sqrt(2)*6 - sqrt(2)) + -5.
-sqrt(7)/78 + 30
Simplify 4*(-1*sqrt(76)/((sqrt(12)/sqrt(3) - sqrt(4)) + sqrt(4)) + -2 - (sqrt(171) - (sqrt(171) - (-5*sqrt(171)*2 - sqrt(171))))/(sq | {
"pile_set_name": "DM Mathematics"
} |
) -0.5
d
Which is the third biggest value? (a) -0.2 (b) -199 (c) 0.1
b
What is the second smallest value in -19, -0.5, 4/3?
-0.5
What is the third smallest value in -0.3, 3/2, -1/2?
3/2
What is the second biggest value in 4, -0.5, -5, -2.2, -13?
-0.5
What is the biggest value in 0.1, 2, -28?
2
Which is the third biggest value? (a) 0.2 (b) 0.4 (c) 4
a
What is the second biggest value in -2/9, -1/4, -3, 106?
-2/9
Which is the second biggest value? (a) 0 (b) -2/111 (c) 2
a
What is the third smallest value in 2/7, -0.3, 20?
20
Which is the third smallest value? (a) -8 (b) 0.08 (c) -2
b
Which is the fourth smallest value? (a) -6 (b) 3 (c) 0.1 (d) 1/2
b
Which is the third smallest value? (a) 4 (b) -859 (c) 2
a
What is the smallest value in -1/2, 4, 6, 0, 0.05?
-1/2
What is the second smallest value in -2, -0.06, 3/4, -3?
-2
What is the third biggest value in -11/5, 4, -2, 1, 3/5?
3/5
What is the second biggest value in 2/19, 70, 0, -2/13?
2/19
What is the biggest value in -3, -0.4, 11?
11
What is the second smallest value in -6, 0.5, -123/11?
-6
Which is the third biggest value? (a) -2/17 (b) -53 (c) 1
b
Which is the biggest value? (a) -11 (b) -7/20 (c) 1/4
c
What is the fifth biggest value in 38, -5, 0, -3/7, -1/11?
-5
Which is the biggest value? (a) 0.06 (b) -6.6 (c) 2
c
Which is the third biggest value? (a) 4 (b) -29 (c) 0 (d) 0.17
c
What is the third smallest value in -4/3, 0, -1, -59?
-1
What is the third biggest value in 0, -0.4, 2?
-0.4
What is the second biggest value in 84, -4, 1/4?
1/4
What is the fourth biggest value in 0.5, 1/156, 3, -0.1?
-0.1
What is the biggest value in 88, 167, 1/6, -0.1?
167
What is the third smallest value in -44, 6, -1/5?
6
Which is the second smallest value? (a) -3 (b) 0.4 (c) 3/5 (d) 5991
b
Which is the fourth smallest value? (a) 0 (b) 4/11 (c) 2/13 (d) 1
d
Which is the biggest value? (a) -7 (b) 91 (c) 0.4
b
What is the smallest value in -38, 1, -1/6, -1?
-38
Which is the third biggest value? (a) 1/6 (b) 1/5 (c) -3 (d) 3 (e) 24
b
What is the second biggest value in 1/3, 0.8, 0.4?
0.4
Which is the second smallest value? (a) -0.07 (b) -2 (c) 0.1
a
Which is the second biggest value? (a) -5/2 (b) -0.2 (c) 0
b
What is the fourth smallest value in -0.4, -138, 2/17, 0.5?
0.5
Which is the second smallest value? (a) 0.4 (b) -0.3 (c) 0.206
c
What is the fourth biggest value in -3, 3, -211, -1?
-211
What is the second biggest value in 2, 5, -1, -4/7, -186?
2
Which is the second smallest value? (a) 5 (b) -3 (c) -5/4 (d) -1/3
c
Which is the fourth smallest value? (a) 9 (b) -0.2 (c) 2 (d) -1
a
What is the third smallest value in 3/8, 3, 2/3?
3
What is the fourth biggest value in 4, -2/7, -9, -8, -3/5?
-8
Which is the third smallest value? (a) 2/7 (b) -4 (c) -2 (d) -16
c
Which is the third biggest value? (a) -3 (b) 0.04 (c) -7
c
What is the third biggest value in -41/3, -2, -1/2, -0.06?
-2
What is the fourth smallest value in 2/9, 16, -0.2, -64?
16
Which is the smallest value? (a) 3 (b) 0.01 (c) -5/8
c
What is the second biggest value in 1/4, 6, -5.3, 0.4, 2?
2
Which is the biggest value? (a) 2 (b) -5 (c) 0.4 (d) -1/3
a
What is the second smallest value in -3/5, -0.2, -8/5?
-3/5
What is the third smallest value in -1, -4, -3/2, -2/23?
-1
What is the biggest value in 0.1, -2/9, -1/7, 3/2?
3/2
Which is the biggest value? (a) -4/7 (b) 0.135 (c) -1/4 (d) 4/5
d
What is the second smallest value in 3/2, -0.055, 6/7, -7?
-0.055
What is the third biggest value in 3, -19, -0.054?
-19
Which is the second biggest value? (a) -1/2 (b) 28 (c) 5
c
What is the smallest value in -1/2, -1/37, -3?
-3
Which is the third smallest value? (a) -2 (b) 0.154 (c) 3
c
Which is the third smallest value? (a) 20.49 (b) -4 (c) 3
a
Which is the smallest value? (a) 0 (b) -0.01 (c) 4 (d) -4 (e) 0.5
d
Which is the biggest value? (a) 2 (b) -0.2 (c) -11
a
What is the third biggest value in 3, 0.8, 1, 0.064?
0.8
What is the smallest value in 0.1, 6/5, 1.5?
0.1
What is the smallest value in -27, -3, -10?
-27
Which is the second smallest value? (a) -5 (b) 8/15 (c) 0.5
c
Which is the fourth smallest value? (a) -2 (b) -4 (c) 1/2 (d) -1/3
c
Which is the third smallest value? (a) -0.4 (b) -0.3 (c) 2/5 (d) -0.11
d
What is the smallest value in -0.4, -112, 1/2, 5, 2?
-112
Which is the third biggest value? (a) 1/6 (b) 0.1 (c) 198
b
Which is the second biggest value? (a) 3 (b) 8 (c) -1/9 (d) -0.1
a
What is the fifth biggest value in 4/55, 1/2, 2, -0.2, 3/10?
-0.2
What is the biggest value in 3, -50, 1, -2?
3
What is the smallest value in -4, -13, -0.07?
-13
What is the second biggest value in 0.4, -3, 4.1?
0.4
Which is the fourth biggest value? (a) 0.5 (b) -13.9 (c) -3 (d) 6 (e) 0.3
c
What is the second smallest value in -5, 34, -3?
-3
What is the third smallest value in -15, 1, -0.2, 7.8?
1
Which is the biggest value? (a) -19 (b) 2 (c) 11 (d) 1
c
Which is the second biggest value? (a) 1/3 (b) -3/5 (c) 1.1
a
What is the biggest value in -3/2, 17, -6?
17
Which is the biggest value? (a) -10 (b) 1 (c) 0 (d) -51
b
Which is the third biggest value? (a) -8 (b) 2/19 (c) -0.086 (d) -4
d
What is the second biggest value in -0.3, 163, -31?
-0.3
What is the third biggest value in -2, 3.4, -6, 0.1?
-2
Which is the third biggest value? (a) 2 (b) 0 (c) 4/15
b
What is the second smallest value in 0, -6, 31/4?
0
What is the second smallest value in 0.63, -0.5, 3/2?
0.63
Which is the third smallest value? (a) 5 (b) -0.275 (c) 4 (d) -0.5
c
What is the second smallest value in 592, 3, -0.1?
3
Which is the biggest value? (a) -0.03 (b) 2 (c) 0.2 (d) -1/3 (e) 4
e
Which is the third smallest value? (a) 0.06 (b) 0.5 (c) 4 (d) -11.4 (e) 1
b
What is the smallest value in -3/5, -3, -0.026, 27/4?
-3
What is the third biggest value in -2/33, -1/6, 0.4?
-1/6
Which is the smallest value? (a) 2/671 (b) 0.4 (c) -0.1
c
Which is the fourth smallest value? (a) -4 (b) 2/15 (c) 1/2 (d) -6/11 (e) -0.2
b
Which is the second smallest value? (a) 3 (b) 0.3 (c) -2497 (d) 5
b
What is the smallest value in -1201, -3/5, 0.3?
-1201
Which is the biggest value? (a) -7/6 (b) 4 (c) -3 (d) 0.4
b
Which is the third biggest value? (a) -3.6 (b) 4 (c) 44 (d) 1
d
Which is the biggest value? (a) 1 (b) 4 (c) 0 (d) 20 (e) 4/3
d
Which is the third smallest value? (a) 0.5 (b) -0.3 (c) 3 (d) 1/51
a
What is the third smallest value in -2/3, 1, 5, 0.2?
1
Which is the smallest value? (a) -2 (b) 0.03 (c) 0.09
a
What is the third smallest value in -2/3, -17/6, -4, 1/2, -0.5?
-2/3
Which is the second smallest value? (a) -8/67 (b) 0.3 (c) 2/7
c
What is the second smallest value in 3/7, -872, -1?
-1
Which is the second biggest value? (a) 1 (b) -0.1 (c) 4.3 (d) 4
d
Which is the second biggest value? (a) 0.1 (b) -0.4 (c) 1/655
c
Which is the second biggest value? (a) -0.2 (b) 0.28 (c) -0.1
c
Which is the third biggest value? (a) 0.4 (b) 3 (c) -3 (d) -11/7
d
Which is the second smallest value? (a) -6/7 (b) -0.2 (c) -1
a
What is the second smallest value in 0.2, 5, 29, 0?
0.2
What is the smallest value in 5, -0.1, -4?
-4
What is the smallest value in 17, 2, -71?
-71
What is the second smallest value in -0.3, -4, 0.5, 1787?
-0.3
Which is the smallest value? (a) 0.5 (b) -12/13 (c) 0
b
Which is the biggest value? (a) 63 (b) -2 (c) 4 (d) -4
a
Which is the fourth biggest value? (a) -0.1 (b) -3 (c) 2/21 (d) 7.6
b
Which is the second smallest value? (a) 2 (b) 5/9 (c) -1/5 (d) -2 (e) -5
d
Which is the fourth smallest value? (a) 1 (b) 1/3 (c) -3 (d) 4/9
a
Which is the second smallest value? (a) 0.1 (b) 6/1115 (c) 0.2
a
Which is the second smallest value? (a) -0.2 (b) -0.4 (c) 50 (d) 0.2
a
Which is the third smallest value? (a) 1 (b) -3 (c) 1/4 (d) -83
c
What is the smallest value in -0.4, -1, -17?
-17
Which is the third smallest value? (a) 1/7 (b) -40/7 (c) 0.1
a
Which is the third smallest value? (a) -0.4 (b) -0.5 (c) 0.5 (d) -17/10
a
Which is the third smallest value? (a) -23 (b) -4/5 (c) 1/4
c
What is the second biggest value in -404, 2, -0.25?
-0.25
Which is the third biggest value? (a) -1/4 (b) -2 (c) | {
"pile_set_name": "DM Mathematics"
} |
-1). Solve 2*x + s*x = 40 for x.
2
Let g be 1 + 0 + 1*2. Suppose 0 = 70*h - 72*h + 6. Suppose 2*v + 8 = -2, -h*p + 26 = 2*v. Solve -3 - p = -g*q for q.
5
Let o = -13 - -15. Suppose i + 5*y = 23, -i - i - o*y = -22. Suppose 3*m - i = -m. Solve f - 2 = m*f for f.
-2
Let k be (0 + -3 - (-7 - 59)) + 3. Let l = 76 - k. Solve -4*q - l = -2 for q.
-2
Suppose -s - 3*s = 4. Let m(i) = 3*i**2 - 1. Let w be m(s). Suppose w*j = -2*d + 7 + 1, 0 = -4*j + 4*d. Solve 0 = -j*k + k for k.
0
Let y = 41 + -40. Suppose 5*r = -5*j + y + 94, -36 = -2*j - 4*r. Solve -3*u - j = u for u.
-5
Let q(r) = -r**3 - 2*r**2 + 2*r + 2. Let f be q(-2). Let y be (4/(-8))/(f/(-192)). Let u = -29 - y. Solve 4*v + u = -1 for v.
-5
Let o be 50/(-1 + 2) + -3. Let g = -30 + o. Suppose 0 = -u - 2*r + 15, -5*u - g + 52 = 2*r. Solve u - 7 = q for q.
-2
Suppose -5*k + 6*k - 8 = 0. Let m be (-4 + k - 5)*2. Let p be (2 + -3)/(m/40). Solve 2*b = 6*b - p for b.
5
Let c = -18 - -20. Solve -4 - 4 = -c*g for g.
4
Suppose 0 = j + 3, -2*w + 23 = -4*j + 1. Suppose 0 = w*v + 49 - 64. Solve v*z = -z for z.
0
Suppose 5*z = -2*k + 40, -5*z + 4*k = -2*z - 50. Suppose 0 = -z*q + 8*q + 4. Solve 0*x + 2*x = q for x.
1
Suppose -19*f + 2013 = 1975. Solve 7*z = f*z for z.
0
Let g = -18 + 22. Solve -g*a - 25 + 5 = 0 for a.
-5
Let n be 99/24 - (-2)/(-16). Suppose -12 = -n*i + i. Suppose 3*l = i*l. Solve l = 5*o - 5 for o.
1
Let s = 37 + -43. Let l = 11 + s. Let u = 22 - 12. Solve -u = 3*v + l for v.
-5
Let l(p) = -p**2 + 55*p - 725. Let i be l(25). Solve -5*m = -50 + i for m.
5
Let i(b) = -15*b - 283. Let j be i(-19). Solve -2*q = 8 - j for q.
-3
Suppose 3*b - 40 = 14. Solve -10 = 4*x - b for x.
2
Let b(x) be the first derivative of x**2/2 + 6. Let d be b(2). Suppose 4*i = 2*j + d, -3*j = 3*i - 9 + 3. Solve i - 6 = 5*m for m.
-1
Let j(d) = -d**3 + 12*d**2 + d - 8. Let s be j(12). Suppose s*k = -8*k. Solve 2*t = -k + 2 for t.
1
Suppose 0 = -69*n + 73*n - 8. Suppose -2 = -n*b + 6. Solve -b*p - 4 = -12 for p.
2
Suppose n = 6*n + 15. Let i = 6 + n. Suppose -7*w = -6*w - i. Solve -2 + 11 = w*c for c.
3
Suppose 0 = -o - 7*d + 2*d - 3, -4*o - 5*d + 3 = 0. Suppose 38*c = -0*c + 684. Solve 4*f - c = -o for f.
4
Suppose 3*p = 44 + 43. Suppose -28*r = -p*r + 3. Solve -r*t + 0 = 3 for t.
-1
Let q(u) = 5*u**2 + 7*u - 19. Let g be q(4). Solve x - 87 = -g for x.
-2
Suppose 0 = 19*n - 21*n + 8. Suppose n*k + 2*s + 10 = 0, 3*k = -2*s + s - 5. Solve u + u + 6 = k for u.
-3
Suppose -2*l = 3*s - 1, 9*l - 3 = 8*l + s. Solve 0 = -l*m + m + 3 for m.
3
Let t(n) = -n**3 + 9*n**2 - 9*n + 13. Let l be t(8). Solve -l = 11*c + 17 for c.
-2
Let m(p) = 9*p + 69. Let l(i) = 4*i + 17. Let b be l(-6). Let g be m(b). Solve -z = 2*z - g for z.
2
Let v be (-312)/30 - 4/(-10). Let g = v + 13. Suppose -2*o = -g - 1. Solve -o = 2*y + 6 for y.
-4
Let z(a) = a**3 - 5*a**2 + 4*a + 2. Suppose 3*h + 1 = 7. Suppose -h*t = -3*t + 4. Let f be z(t). Solve f*x - 4*x - 4 = 0 for x.
-2
Let l = 1259 + -1259. Suppose 3*i = -2*j - 0 - 7, 0 = j - 5*i - 29. Solve s + j*s + 5 = l for s.
-1
Suppose 4*q - 3*s = s + 8, -8 = q + 4*s. Suppose -3 = -3*p - q*p. Solve -4*r - 15 - p = 0 for r.
-4
Let g be (-3154)/(-6) + -6 + (-16)/(-3). Solve g - 524 = -o for o.
-1
Let r be (-8)/10 - (9 + (-4104)/30). Solve r*i + 3 = 130*i for i.
1
Let s = -219 - -238. Solve 16*a = s*a for a.
0
Let x be (-146)/(-10) - 136/(-340). Solve 20*l = x*l for l.
0
Let v be 2 - 2 - (-4 + 0). Let n(o) = 10*o**2 - 27*o - 281. Let r be n(7). Solve -r + v = 4*f for f.
-4
Suppose -3*l - z + 13 = -2*z, 2*l - 5*z = 13. Let s be l*((-21)/(-12) - 1). Let h = 19 - 17. Solve -1 = -h*g + s for g.
2
Suppose -2*k + 9 = -7. Let p be 45/18 - 1/(-2). Suppose -p*d = -4 - 11. Solve d*u = k*u for u.
0
Let j be (-10)/(-25)*5/1. Suppose 0 = -l + 4*n - 19, 3*n = 4*l - 5*l + 16. Let v be 0/(-2*l/j). Solve -t - 2*t + 12 = v for t.
4
Suppose -t = -5*t - 128. Suppose -7*q + 371 = 126. Let z = t + q. Solve -z + 0 = -f for f.
3
Suppose 132 = 23*k - 29. Solve -k*n + 11 - 46 = 0 for n.
-5
Let p be (-73)/(-2) + (-3)/(48/(-8)). Suppose 3*b - 8 = p. Suppose -8*l = -3*l. Solve 5*s = -l + b for s.
3
Let l(n) = 11*n**2 + n + 1. Let s be l(-1). Let w be 34/8 + 90/120. Solve s = w*k - 9 for k.
4
Suppose -3*t + 4*u - 163 = 0, 5*t - 3*t - u + 102 = 0. Let x = t + 51. Solve b = -b + x for b.
1
Suppose 2*p - 25 = -3*p. Suppose -5*b - 1 - 24 = 0. Let j = b + p. Solve -5*u + 4*u + 1 = j for u.
1
Let g(a) = -a - 5. Let p(q) = -2*q - 11. Let f(y) = -5*g(y) + 3*p(y). Let j be f(-14). Suppose 0 = -3*w + j - 0. Solve -m = -0 - w for m.
2
Let h(u) = 4*u - 14. Let o be h(4). Suppose -9*y + o*y + 35 = 0. Solve 3 = -y*j + 23 for j.
4
Let r = -269 + 270. Solve -17 = -4*f - r for f.
4
Let x = -17 - -17. Suppose -r + x = 1. Let g be (-1)/(r/(-2)) + 2. Solve g = -2*n + 4*n for n.
0
Suppose 7*u - 3*u = -h + 79, 5*h = -5. Let y(s) = 2*s + 51. Let k be y(-21). Suppose -k*q = -3 - 15. Solve u = 2*r + q*r for r.
5
Let k(u) = -5*u + 28. Let i be k(5). Suppose -5*x + 2 = -i. Solve -3*m + x - 7 = 0 for m.
-2
Suppose a - 12 = -2*a. Let f = 595 - 590. Solve f*u = a + 1 for u.
1
Let z(n) = -643 + n - 2*n + 659. Let k be z(-5). Solve -k + 6 = 3*b for b.
-5
Suppose 37*w = -6*w + 172. Solve -w*t - 8 = -6*t for t.
4
Let p = 3 + 0. Let y(g) = -g**3 + 17*g**2 + 16*g + 36. Let b(c) = -3*c + 9. Let x be b(-3). Let w be y(x). Solve -4*o + o + p = w for o.
1
Let t(v) = -17*v + 9*v**2 + 24*v + 2*v**3 - 11*v + 7. Let k be t(-5). Solve 2 = g - k for g.
4
Let j = -42 - 45. Let q = 105 + j. Solve -6 + q = -3*h for h.
-4
Let m(g) = -4*g + 4 + 2*g + g. Let o be (6/4)/3*0. Let w be m(o). Solve -3*d = w - 1 for d.
-1
Let q = 815 - 813. Solve -q*t - 5*t = -28 for t.
4
Suppose -5*l - 35 = -5*s, 3*l + 2*s + 0*s = -36. Let b be 66/15 - -2*2/l. Solve 0 = b*r + 6 - 26 for r.
5
Let b be (-60)/8*(-2)/3. Solve -b*u + 3*u = 0 for u.
0
Let s = -21 + 29. Suppose -3*j + 4*y = -s + 1, -2*j - 5*y + 20 = 0. Solve -4 = j*z - 3*z for z.
-2
Let c(i) = 3 + i**2 + i + 2 - 4. Let j(s) = 3*s**2 + 7*s + 8. Let y(x) = 4*c(x) - j(x). Let v be y(5). Solve n + v - 1 = 0 for n.
-5
Suppose -3*d = 5*q - 22, d - 3 = 3*q - 5. Let b be 0 + (d - 3)*2. Let u be 12/7 + (-18)/(-63). Solve 0 = b*w + u*w for w.
0
Let j be (-1 + 5)*3 - 4. Let n be 1 + 1 - (5 - 1). Let b be (n + 4 + -14)*-1. Solve 5*v + b = -j for v.
-4
Let r = 9 + -8. Let t = r - -4. Let l be 21/((2 - t)/(-1)). Solve -2*n + 3 = -l for n.
5
Suppose 4*z = -2*f, -5*f - 10 = 10. Suppose z*m = a + 1 - 10, 4*a + 4*m = 0. Suppose 5*u = -5*y, 0 = 4*y - a*u + 2*u - 20. Solve 11 = -y*n - 9 for n.
-5
Let z = -227 + 234. Solve 5*p = -8 - z for p.
-3
Let r(y) = -y**3 + 5*y**2 + 40*y - 126. Let z be r(3). Solve 11 + 13 = z*f for f.
2
Let h = 5 + -5. Let z be 6 + 1 + (-1 - 1 - h). Solve 29 = -z*c + 4 for c.
-5
Let g = 5 - 0. Let w = 28554 + -28545. Solve -4*x + w*x = -g for x.
-1
Let p = 18 + -10. Let b = p + -4. Solve -3*u + 5 = -b for u.
3
Suppose -19*d = -101 - 32. Solve -d*m - 11 = 3 for m.
-2
Suppose 3*i + 3*z - 18 = 0, -21 = 3*i + 5*z - 45. Solve -9*d - 3 = -i for d.
0
Let x be ((-5)/3)/((-295)/708). Solve 10 = -x*s + 2*s for s.
-5
Let q(x) = x**3 - 3*x**2 - 4*x + 4. Let z(n) = n**2 - 1. Let g = -2 - -1. Let s(k) = g*q(k) - 6*z(k). Let m be s(-4). Solve -h = m*h for h.
0
Suppose 2*q - 8 = -l - 0, -2*q - 2*l + 8 = 0. Solve -1 = q*m + 3 for m.
-1
Suppose 0*m - 2 = -m. Let t(h) = -h**m + 5*h - 5*h**2 - 1 + 5*h**2. Let d be t(4). Solve -2*r + d = 9 for r.
-3
Suppose 23 = -4*b - 1. Let n be ((-16)/b - 2)/(8/12). Solve 0 = x + 2 - n for x.
-1
Let r(g) = g + 13. Let x be r(-9). Solve -11 = -x*l + 1 for l.
3
Let a(p) = -3*p**3 + 2*p**2 + 3*p + 1. Let w be a(-1). Suppose -3*x + 67 = 5*q, 3*x + 14 = 2*q + x. Suppose -13 = -3*s + q. Solve -v - w*v = -s for v.
2
Let b = 70 - 62. Solve -b*f + 3*f = -5 for f.
1
Suppose 6*d + 33*d - 156 = 0. Let n(w) be the third derivative of w**4/4 - 2*w**3/3 - w**2. Let b be n(4). Solve -b = d*a + a for a.
-4
Suppose 2*c - 45 = -13*c. Solve 4*q - 7 = -c for q.
1
Let r = 876 + -864. Solve 3*k = -0 + r for k.
4
Suppose -8*g - 420 = -468. Solve g*p + 6 + 0 = 0 for p.
-1
Suppose 69 = 3*q - 3*g, 4*q + 3*g - 113 = 14. Solve -q*v + 31*v = 15 for v.
5
Let q = 7 + -6. Let m be q*(0/(-4))/2. Solve -2*k + 3 + 3 = m for k.
3
Suppose 28 = 4*o - 4*b, -2*b = -b | {
"pile_set_name": "DM Mathematics"
} |
of 60 and d.
10
Let q(p) = -p**3 + 4*p**2 + p - 3. Let y be q(4). Let c = 9 + -8. Calculate the highest common divisor of y and c.
1
Let d be (3 - (1 + 1))/(-1). Let p be (-2)/d*(2 + 1). Suppose v - 2*v + p = 0. What is the greatest common divisor of 15 and v?
3
Suppose 4*a + 4*m = 484, -7*m = a - 3*m - 133. Let y = -14 + 32. Suppose 21 = 3*x - y. What is the highest common divisor of a and x?
13
Let r(n) = -3*n - 2. Let d be r(-2). Suppose -i + 0 = -2*c + 3, 4*c = -d*i + 24. Calculate the greatest common divisor of 3 and c.
3
Let m be 12/((-6)/(-36)*6). What is the greatest common divisor of m and 8?
4
Let f(i) = -i**2 + 1. Let l be f(1). Suppose 3*w + r - 32 = l, 2*r = -r - 12. Calculate the highest common factor of w and 3.
3
Let d = 30 - 16. Calculate the greatest common divisor of 154 and d.
14
Let s(n) = n**3 - 2*n**2 - 5*n - 3. Let o be s(4). Let f be 839/o + 14/(-63). What is the greatest common factor of f and 62?
31
Let y(c) = -c**2 - c + 5. Let s be y(0). Let f be (-18)/72 + 42/8. What is the greatest common factor of s and f?
5
Suppose 0 = -4*n - 12 + 4. Let g be -2 - n - -2 - -2. Suppose -4*w - w - 67 = -3*q, 0 = 2*q - g*w - 48. What is the greatest common divisor of 98 and q?
14
Let q(u) = -u + 3. Let m be q(0). Suppose c + 3*v + 2*v - m = 0, 17 = 2*c - v. Let p(f) = -2*f. Let y be p(-8). What is the greatest common divisor of y and c?
8
Let m be -7 + 10 + 3*39. Suppose -m = -5*r + 530. What is the greatest common factor of 13 and r?
13
Suppose -2*c + 46 = -82. Let j(f) = f - 2. Let y be j(-2). Let n be 164/10 - y/(-10). What is the greatest common factor of n and c?
16
Let y be (-4)/(-3)*(0 - -3). Let a be (-2 - -22)*6/y. Let s be (-44)/(-10) - (-48)/80. Calculate the highest common divisor of s and a.
5
Let g = -12 - -17. Let k(t) = 7*t**2 - 1. Let v be k(-1). Suppose -4 = -2*r + v. What is the highest common factor of g and r?
5
Suppose 3*r - 5*r - 2*l = -78, 3*r = -5*l + 123. Suppose -138 = -2*f - 2*w, 7*f - w - 363 = 2*f. Calculate the greatest common factor of r and f.
36
Suppose 2*f = 5*d - 31, d - f = -d + 12. Suppose -163 = -4*t + 89. Suppose -3*i = -4*i + t. What is the highest common factor of i and d?
7
Let r = -23 - -32. Calculate the highest common divisor of 99 and r.
9
Suppose -x - 25 = -6*x. Let w be -3*x/((-5)/6). Let c(g) = 24*g**2 - 3*g. Let q be c(2). Calculate the highest common factor of w and q.
18
Let y be 2*2/4*34. Let v(f) be the third derivative of -f**5/60 - f**4/24 + 17*f**3/6 + 2*f**2. Let t be v(0). Calculate the highest common divisor of t and y.
17
Let j(k) = -2 - 3*k + 6*k + 0. Let v be j(3). Calculate the greatest common divisor of v and 14.
7
Let q(m) = 5*m + 11. Let p be q(-8). Let r = p - -41. Let g(k) = 2*k + 36. Let i be g(24). Calculate the greatest common factor of r and i.
12
Suppose -4*d = 2*u, -5*u + 5*d + 15 = -0*d. Suppose 0*q - 2 = q, 4*t + u*q = 8. What is the greatest common divisor of 6 and t?
3
Let t = 3 - 0. Let n be 34/6 - t/(-9). Let s = -14 + 20. What is the highest common factor of s and n?
6
Let a(f) = -f**2 + 7*f - 4. Let k = -7 - -11. Suppose -3*b + 7 = 4*s - 6*s, -b + k*s - 11 = 0. Let g be a(b). Calculate the greatest common divisor of 6 and g.
6
Let z(x) = 19*x**2 + 6*x - 4. Let j be z(2). Let p be (-4)/6 + (-65)/(-3). Calculate the highest common divisor of j and p.
21
Let f = -112 + 238. Suppose -5*l = 5*o - 45, -2*l + 3 = 5*o - 0*o. Calculate the highest common divisor of l and f.
14
Let v be (-1584)/(-21) - (-6)/(-14). What is the greatest common divisor of 15 and v?
15
Let y(u) = 2*u**2 - u - 1. Let b be y(2). Suppose -1 = b*w - 36. Let r = w + 3. What is the highest common divisor of 15 and r?
5
Let h(x) = 3*x**3 - x**2 + x - 1. Let i be h(2). What is the greatest common factor of 84 and i?
21
Suppose 3*r - 5 = 2*r - 2*h, -r - h = -10. Suppose 15 = 3*a - r. What is the highest common factor of 50 and a?
10
Suppose 5*c = -2*q + 50, -4*c + 36 = -2*c + 4*q. Let t = c + -6. Let j be (-20)/t*(-2)/4. What is the greatest common factor of j and 10?
5
Let o be 4/6 + 21/9. Let d be -2 + o + 1 + 18. Let q be 19/4 - 2/(-8). What is the highest common divisor of d and q?
5
Let d(b) = b**3 - 5*b**2 + 1. Let u be d(7). Let k(r) = r**3 - 6*r**2 - 4*r - 10. Let w be k(7). Calculate the greatest common factor of u and w.
11
Suppose -2*h - 2*h + 24 = 0. Let g be (-1)/(-2) + 15/h. Suppose -a + 11 = l, 2*l - g*a = l - 1. Calculate the greatest common divisor of 4 and l.
4
Let n(t) = t**2 - 7*t + 17. Let l be n(8). What is the highest common divisor of 125 and l?
25
Let d(p) = p**3 + 4*p**2 - 4*p + 10. Let r be d(-5). Let u = 11 - -4. What is the highest common divisor of r and u?
5
Let k(y) = 66*y**2 - y. Let l be k(-1). Suppose -5*a - 17 = -l. What is the highest common factor of a and 15?
5
Suppose 3*d = 5*l - 171, -4*l - 5*d = -13 - 109. What is the greatest common divisor of l and 3?
3
Let r be (-6)/27 + 598/18. What is the greatest common divisor of r and 11?
11
Suppose 5*w - 210 = 2*w. Let j = -2 - -2. Suppose j*x - x + 10 = 0. Calculate the greatest common divisor of w and x.
10
Let s(b) = -b**2 + 3*b + 5. Let u be s(4). Let l be (10/3)/(u/6). Suppose -10 - 22 = -4*y. Calculate the highest common divisor of y and l.
4
Suppose 3*t - 810 = -0*t. What is the greatest common divisor of 27 and t?
27
Let c = 11 + 14. Suppose -c = -3*q + 2*q. Calculate the greatest common divisor of q and 5.
5
Suppose -3*z + 3 = -18. Let f(q) = -q**2 + 9*q + 2. Let d be f(z). Let c = -42 + 46. What is the greatest common factor of c and d?
4
Suppose -3*z + 0*k = 5*k - 62, 0 = -z + 3*k + 30. What is the greatest common factor of z and 24?
24
Suppose -8*z = -7*z - 1. Let y(b) = 3*b**2 - 2*b + 1. Let t be y(z). Calculate the highest common factor of t and 10.
2
Let d(m) = -m**2 - 20*m - 15. Let n be d(-12). What is the highest common factor of 9 and n?
9
Let a be (7/(-3))/(2/(-102)). Suppose -2*t + a = -57. What is the highest common factor of 8 and t?
8
Let q(d) = -d**2 + 3*d + 1. Let w be q(3). Let t(g) = 6*g - 166. Let r be t(29). Calculate the greatest common factor of r and w.
1
Suppose 8 = 5*f - 4*t, 0*f - 2 = f - 2*t. Suppose 0 = 8*h - 5*h + 12. Let g be 5/(2*(-1)/h). Calculate the highest common factor of f and g.
2
Let s(f) = f - 5. Let z be s(10). Suppose -m + z*m = 120. Suppose p - 6*p = -100. Calculate the highest common divisor of m and p.
10
Let v(x) = -x + 13. Let m be v(7). Let f be (16/3)/(1/6). Let z be (18/(-8))/((-12)/f). Calculate the highest common divisor of z and m.
6
Suppose -5*b - 4*h + 36 = 0, -5*b + b = 4*h - 32. Suppose -5*f + b*f = 5*l + 8, 2*f - 40 = 4*l. What is the highest common factor of 24 and f?
12
Let p be 7 + ((-22)/(-33))/(2/(-12)). Let i = -17 - -32. Calculate the highest common factor of p and i.
3
Suppose c - 3 = 3*s - s, -3*c - 2*s = -17. What is the highest common divisor of c and 40?
5
Let i = 87 + -61. Calculate the greatest common factor of i and 182.
26
Suppose 16*m = 12*m + 104. Calculate the highest common divisor of 182 and m.
26
Suppose 4*z - 44 - 4 = 0. Calculate the greatest common divisor of z and 48.
12
Suppose 27 - 207 = -6*w. Calculate the greatest common divisor of w and 5.
5
Suppose 3*k = -875 - 1213. Let f be k/(-10) + (-6)/(-15). Calculate the greatest common factor of 10 and f.
10
Suppose j - 5*j - 78 = -3*m, 5*j = -5*m + 95. Let r(v) = -v**2 + 7*v - 4. Let l be r(6). What is the greatest common divisor of l and m?
2
Let a be (-4)/8*(12 + 2). Let x = a - -10. Suppose 0 = -x*l - l + 28. Calculate the highest common factor of 7 and l.
7
Suppose -4*q = 2*q - 108. Suppose 4*x = -75 + 651. What is the greatest common divisor of q and x?
18
Let v = 3 - 2. Let w = v + 0. Suppose 0 = -a - w + 2. What is the greatest common divisor of a and 1?
1
Let u(h) = -h. Let i(s) = -2*s - 9. Let g(f) = -i(f) + 3*u(f). Let d be g(8). What is the highest common factor of d and 1?
1
Let o(z) = 3*z**3 - z**2 + 4*z. Let j = 5 - 2. Let d be o(j). What is the highest common divisor of 21 and d?
21
Let t(l) = 2*l - 4. Let c be t(4). Let p be 6/21 + (-33)/(-7). Suppose 3*y + 30 = 4*y - 5*i, 3*y - p*i = 70. Calculate the highest common factor of c and y.
4
Suppose 5*q - 19 = 301. Let k = q + -46. Suppose -4*i + 46 = 5*w, w = 3*i - 62 + k. What is the highest co | {
"pile_set_name": "DM Mathematics"
} |
57*z + 52*z - 243)*(3*z**2 - z**2 - 4*z**2) to the form i*z**3 + d*z**2 + l + v*z and give d.
486
Express -13 + 29*k**2 + 8*k**4 + k**2 - 2*k**4 + 0*k**4 + 10 as l*k**3 + u + d*k + w*k**4 + j*k**2 and give u.
-3
Express 1050 - q**2 + 60*q - 1050 + 12*q in the form c*q**2 + t*q + d and give t.
72
Express -2532*s**2 + 4*s - 2518*s**2 + 5112*s**2 as v + g*s**2 + n*s and give n.
4
Express (-17*c + 2*c**4 + 101 - 53 - 46)*(7 - 10 - 14) as z*c**4 + i*c + s*c**3 + w + p*c**2 and give i.
289
Rearrange -3*y**4 + 4*y**4 - 3*y**4 + (-424*y**2 + 424*y**2 - 18*y**3)*(4*y + 2*y - 4*y) to d*y**3 + o + v*y + i*y**4 + m*y**2 and give i.
-38
Rearrange (-568 + 3*k + 568 + 4*k**2)*((13*k - 96 + 96)*(1 + 0 - 3) + k + 4*k - 6*k) to y*k**3 + c*k + v*k**2 + o and give y.
-108
Rearrange (-5*s + 0*s + 0*s)*(3*s - 2*s - 2*s)*(59 - 59 + 7*s) - 1 + s**3 + 1 to w*s + o*s**3 + j*s**2 + m and give o.
36
Express (-5*a - 29*a + 2*a)*(2*a - 2*a + 2*a)*(7 + 4*a - 7) - 4*a**3 + 4*a**3 + 2*a**3 as k*a**3 + v + u*a + h*a**2 and give h.
0
Rearrange 11*k - 11*k - k - 15*k - 2*k + k**2 to q*k**2 + z + r*k and give r.
-18
Rearrange (30*n**2 + 23*n**2 - 63*n**2)*(2*n + 0*n - n) - 2*n**3 + 7*n**3 - 3*n**3 to the form f*n**2 + z*n + v*n**3 + m and give v.
-8
Express -4*u**3 - 5*u - 9*u**3 + 9*u**2 + 0*u + 5*u in the form z*u + p + w*u**2 + x*u**3 and give x.
-13
Rearrange ((-5 + 2 + 5)*(0 - 1 + 2) - 3 + 0 + 5)*(-51*q - 1967 + 1967) to p + y*q and give y.
-204
Express -48*x - 268*x + 47*x - 7*x - 270*x as s*x + o and give s.
-546
Rearrange (-5*z - 6*z + 2*z)*(-3*z + 2*z + 0*z)*(-91 - 147 + 124) to q + h*z**2 + a*z and give h.
-1026
Rearrange (-3*x + 3*x**2 + 3*x)*(-118 - 17 + 6) to g + v*x**2 + r*x and give v.
-387
Rearrange 244*f**3 + 1 + 2*f**2 - 2*f**2 + 2 - 88*f**3 to w*f**3 + a*f**2 + d + x*f and give d.
3
Rearrange 11*d - 62*d - 56*d to l*d + c and give l.
-107
Rearrange (-5 + 5 + 1)*(2 - 2 - t**4) - 127*t**4 - 77*t**4 + 64*t**4 to k + s*t**4 + b*t + p*t**2 + h*t**3 and give s.
-141
Express 678*f**2 + 86*f**2 + 376*f**2 - 230*f**2 in the form s + p*f + o*f**2 and give p.
0
Rearrange (5*c**3 + 5*c**3 + 5*c**3 + 41*c**3)*(-5 + 3 + 5) to the form s*c**2 + a*c + y + d*c**3 and give d.
168
Rearrange -2*s**2 + 1 - 1 + (-4*s**2 + 2*s**2 - 6*s**2)*(3 + 0 - 2) + 4*s**2 - 3*s**2 - 2*s**2 + (s - 3 + 3)*(-s - 12*s - 3*s) to y + u*s**2 + d*s and give u.
-27
Express -4*w**2 + 15*w**3 - 2*w - 3*w**2 + 4*w**2 - w - w**2 in the form d*w**2 + v*w + k + l*w**3 and give l.
15
Express -y + 24*y + 2 + 3*y - 8 in the form n + g*y and give n.
-6
Express (15*c + 3*c + 2*c + (-2 + 3 + 0)*(2*c + 2*c - 3*c) - 3 + 3 + c + 2 - 2 + c)*(1 + 0 + 1) + 4*c - 3*c + 0*c in the form g*c + i and give g.
47
Express 15*h + 2 + 26*h - 35*h + 58*h in the form p*h + r and give p.
64
Rearrange 68 - 221*x - 135 + 66 to the form g + j*x and give j.
-221
Express (-4*u**2 - 31*u + 31*u)*(-11*u + 37*u - 7*u)*(5 - 5 + 1) as m*u**2 + c + v*u**3 + d*u and give v.
-76
Express -3*o**4 - 36*o**4 - 2*o**4 + (4*o + 2*o - 3*o)*(2*o**3 - 2*o**3 - o**3) as m*o**2 + y*o**3 + z*o + w + x*o**4 and give x.
-44
Rearrange 29*l**3 + 49*l**3 - 14*l**4 - 62*l**3 + 7*l**4 - 2 to a + f*l**4 + s*l + o*l**2 + d*l**3 and give a.
-2
Rearrange -4*o + 0*o - 2*o + (-2*o + 3 - 3)*(0 - 1 + 3) + 17 + 3 - 3 + 2*o to the form r + l*o and give r.
17
Rearrange (4 + 35*g - 4)*(5*g**3 + 5*g**3 - 4*g**3) - 5*g**4 + g - g to f*g**2 + t*g + u*g**4 + q*g**3 + w and give u.
205
Express 232*n - 149*n + 176*n in the form m + l*n and give l.
259
Rearrange -2*r + 79 + 16 + 19*r**2 - 21*r**2 to o*r**2 + f*r + v and give o.
-2
Express -1 + 2*v - 9*v**3 - 7*v**3 + 123 + 12*v**3 in the form u*v**3 + c*v**2 + z + q*v and give z.
122
Rearrange 60 + 41 + v - 33 to o*v + s and give s.
68
Express (2 - 7 - 15)*(0*s + 0*s + 7*s)*(2*s - s + s)*(5 - 3 - 1) as x*s**2 + l*s + z and give x.
-280
Rearrange -i**2 + 3*i**2 + 0*i**2 + (5 + 0 - 3)*(2*i**2 + 3*i - 3*i) - 25*i**2 - 40*i**2 + 17*i**2 to the form w*i**2 + n + y*i and give n.
0
Rearrange (-2*x**3 + 5*x**3 + x**3)*(-141*x + 66*x - 30*x) to the form i + y*x**3 + f*x**2 + v*x + j*x**4 and give j.
-420
Rearrange (26*q - 70*q + 35*q)*(-1 - 8*q + 0*q - 3*q) to the form w*q**2 + x + c*q and give c.
9
Rearrange 3 + 4 - 11 - 15*g + 5*g to the form m + h*g and give h.
-10
Express (4*p + 2*p - 4*p + p**2)*(164 - 117 + 83)*(-4 + 3 + 3) as y*p**2 + n*p + f and give f.
0
Express -10*l**3 + 0 + 30*l + 2 - 4 - 29*l - l**2 in the form c*l**2 + q + h*l + w*l**3 and give h.
1
Express (-2*d - 3*d + 6*d)*(-6*d**3 + 0*d + d + 13 + 5*d**3) as j*d**3 + v + y*d + b*d**4 + z*d**2 and give z.
1
Rearrange 2*a**2 + 19817 + a**3 - 19817 - 3*a**2 - 3*a - 90*a**4 to z + h*a**3 + j*a**4 + b*a**2 + c*a and give h.
1
Rearrange -145 + 36*o**3 - 11*o**3 - 9*o**3 - 13*o**3 - 40 to x*o + k*o**3 + q + p*o**2 and give q.
-185
Rearrange (2*q + 17*q - 5*q)*(1 - 100 - 33) to the form c*q + f and give c.
-1848
Express 2 - 66*d**2 + 136*d**2 - 1 + 1 as n + u*d + h*d**2 and give h.
70
Express 75467*j**2 - 76950*j**2 - 5*j + 3*j + 2*j in the form u*j**2 + a*j + l and give u.
-1483
Express -23*u**3 - 2*u**2 - 39*u**3 + 4 + 55*u**3 - 3 + 0 + 6*u as j*u**3 + g*u + o + b*u**2 and give j.
-7
Express (34*f + 47*f - 20*f)*(-1 + 1 - f)*(-4*f - 5*f + 4*f)*((-1 + 0 - 1)*(-3 + 4 + 1) + 2 + 0 - 4 + 2 + 1 + 0) as x + a*f**3 + d*f + o*f**2 and give a.
-915
Express 1954*c + 614*c + 58*c in the form m + t*c and give t.
2626
Express -10*g**3 - 5*g + 3091 - 2*g - 10*g - 3093 + 3*g**3 in the form u*g + z*g**3 + o*g**2 + x and give x.
-2
Express (-3*o + o + 4*o)*(0*o + 2*o - 3*o) - 97*o - 17 + 98*o + 19 - 9*o**2 - 4 - 16*o**2 + 4 in the form p*o**2 + l + s*o and give s.
1
Express 2*k - 4 + 14*k**2 + 7 - 159*k**3 + 1 + 158*k**3 as q + h*k + b*k**3 + w*k**2 and give h.
2
Rearrange (-3*j - j + 2*j)*(72 - 10 + 228 + (1 - 1 + 3)*(1 - 2 + 2)) to the form p + h*j and give h.
-586
Express (-4*o - 7*o + o)*(-5*o - 3*o + 5*o) + (-2*o + o + 4*o)*(4*o + 2*o - 4*o) as z + m*o + b*o**2 and give b.
36
Rearrange -3*v**2 + 0*v**3 - 2*v**3 + 15*v**2 - 9*v**2 - 6*v**2 + 3 to g*v**3 + o*v**2 + q + z*v and give g.
-2
Express -173*r**3 - 33*r**2 + 90*r**3 - 46*r**2 - 126*r**2 + 81*r**3 in the form b*r**2 + u*r**3 + k*r + z and give b.
-205
Rearrange (19 - 259 - 8)*(4*n**3 + 3*n**4 - 5*n**3 + 17*n**2 - 19*n**2) to the form r*n**3 + z*n**2 + w*n + u + f*n**4 and give f.
-744
Rearrange -4598 + 367*r + 4598 to u*r + y and give u.
367
Express 65*s - 101*s**2 - 102*s**2 - 105*s**2 + 311*s**2 as w + v*s**2 + j*s and give j.
65
Rearrange -2 + 33*z**2 + 22*z**2 + 52*z**2 + z**2 - 17*z**2 to the form k*z**2 + b + p*z and give b.
-2
Express -n + 39*n**2 - 37*n**2 + n**4 - n**3 - 7 + 3*n as p*n**3 + y + o*n**4 + z*n + i*n**2 and give o.
1
Express -148*h**2 + 231*h**2 + 189*h**2 - 63*h**2 + 338*h**2 in the form i*h + m*h**2 + t and give m.
547
Express -16*t - t**2 - t**2 - 20*t + 368*t**3 - 366*t**3 as x*t + b*t**3 + z*t**2 + m and give x.
-36
Express 29298*h - 29298*h - 163*h**3 + (0*h - h + 0*h)*(2*h**2 - 2*h**2 - h**2) as k + q*h**2 + u*h + s*h**3 and give s.
-162
Express 26 - 21 - 6*j**2 - 8*j**2 - 2*j**3 + 33*j**2 - 4*j**2 - 2*j**4 in the form g*j + q*j**3 + p*j**4 + m*j**2 + x and give p.
-2
Rearrange (2 - 1 - 4)*(12*b + 5*b - 7*b - 1) - 25 - 4*b + 25 to the form z*b + x and give x.
3
Express -4*c + 9*c**2 - 5 + 5 - 314*c**3 + 315*c**3 in the form y*c + w*c**2 + j + z*c**3 and give w.
9
Express 481*q**2 + 73*q**2 + 5*q**2 as u*q + l + o*q**2 and give o.
559
Rearrange -37*k**4 + 94*k**4 - 23*k**4 + (-3*k - k + 5*k)*(-k**3 + k**3 + k**3) - 64*k**2 + 2*k**4 + 64*k**2 to d*k**3 + o*k + y*k**2 + r + n*k**4 and give n.
37
Rearrange (70 - 15 + 20)*(4*r**2 - 3*r**2 + 0*r**2) to the form b*r**2 + k + a*r and give a.
0
Express (2*j - 4*j + 3*j)*(6 + 4 + 32*j - 12) as o*j + d*j**2 + q and give d.
32
Rearrange -877*r + 879*r + 2*r**3 - 1 - r**2 + 0*r**3 - 3*r**4 to i*r + u*r**2 + y*r**4 + k*r**3 + d and give u.
-1
Rearrange (-3*z + 2*z + 12*z)*(3*z**2 - 2*z**2 + 4*z**2 + (-4 + 1 + 4)*(-z + z + z**2)) - 2*z**3 - z**3 + z**3 to the form l*z**2 + t + v*z + u*z**3 and give u.
64
Rearrange 324*t - 324*t - 17 - 7*t**2 - t**2 to o + g*t + r*t**2 and give o.
-17
Express (-6*g - 2*g**2 + 6*g)*(54 - 4 + 16 + (4 - 3 + 0)*(2 - 2 - 1) + 0 - 2 + 0) in | {
"pile_set_name": "DM Mathematics"
} |
**2 + 425*i + 750 = 0?
-6, -5
Solve 144*z**5 + 1632*z**4 - 1196*z**3 - 532*z**2 - 48*z = 0.
-12, -1/6, 0, 1
Let -t**2 + 7*t = 0. Calculate t.
0, 7
Find y, given that -y**5/4 + 5*y**4 - 59*y**3/2 + 72*y**2 - 297*y/4 + 27 = 0.
1, 3, 12
Let -c**2/5 - 9*c + 46/5 = 0. Calculate c.
-46, 1
Find m such that 3*m**2/8 - 33*m/8 + 15/4 = 0.
1, 10
Factor -g**2 - 3*g + 18.
-(g - 3)*(g + 6)
Let o**5/3 + o**4 - o**3/3 - 7*o**2/3 + 4/3 = 0. What is o?
-2, -1, 1
Factor -2*r**4/3 - 2*r**3/3 + 16*r**2/3 + 8*r.
-2*r*(r - 3)*(r + 2)**2/3
Factor -2*m**2/3 - 10*m/3 + 100/3.
-2*(m - 5)*(m + 10)/3
Find o such that 3*o**5 + 3*o**4 - 39*o**3 - 3*o**2 + 36*o = 0.
-4, -1, 0, 1, 3
Suppose -5*c**3 - 225*c**2 - 2640*c - 2420 = 0. Calculate c.
-22, -1
Factor 2*v**3/9 + 40*v**2/9 - 62*v/3 + 16.
2*(v - 3)*(v - 1)*(v + 24)/9
Let 2*s**2 + 70*s + 68 = 0. What is s?
-34, -1
Determine c, given that 2*c**5 + c**4 - 30*c**3 + 64*c**2 - 52*c + 15 = 0.
-5, 1, 3/2
Factor j**4/6 - 13*j**3/6 + 11*j**2/3.
j**2*(j - 11)*(j - 2)/6
Factor 170*g**3 + 15*g**2 - 170*g - 15.
5*(g - 1)*(g + 1)*(34*g + 3)
Factor -14*k**4/19 - 32*k**3/19 - 22*k**2/19 - 4*k/19.
-2*k*(k + 1)**2*(7*k + 2)/19
Factor -2*b**2 - 196*b + 198.
-2*(b - 1)*(b + 99)
Factor -2*s**3/7 + 8*s**2/7 + 10*s - 300/7.
-2*(s - 5)**2*(s + 6)/7
What is g in -4*g**2 + 164*g + 528 = 0?
-3, 44
Factor -4*f**3 - 16*f**2 + 20*f.
-4*f*(f - 1)*(f + 5)
Factor -i**3 + 7*i**2 - 12*i.
-i*(i - 4)*(i - 3)
Solve 3*s**5 + 93*s**4 + 846*s**3 + 1932*s**2 + 1176*s = 0 for s.
-14, -2, -1, 0
What is o in 5*o**5 - 35*o**4 + 70*o**3 - 40*o**2 = 0?
0, 1, 2, 4
Determine x so that -2*x**2/5 + 2*x/5 + 8 = 0.
-4, 5
Factor 3*r**4 + 15*r**3 - 21*r**2 - 15*r + 18.
3*(r - 1)**2*(r + 1)*(r + 6)
Determine f so that -4*f**5 - 30*f**4 - 80*f**3 - 90*f**2 - 36*f = 0.
-3, -2, -3/2, -1, 0
Factor 4*b**5 + 108*b**4 + 392*b**3 + 568*b**2 + 372*b + 92.
4*(b + 1)**4*(b + 23)
Suppose -4*u**4 + 4*u**3 + 20*u**2 + 12*u = 0. Calculate u.
-1, 0, 3
Suppose 3*a**3 - 90*a**2 + 171*a - 84 = 0. What is a?
1, 28
Factor -2*q**2 + 14826*q.
-2*q*(q - 7413)
Find n, given that n**5/2 + 7*n**4 + 21*n**3 - 20*n**2 - 107*n/2 + 45 = 0.
-9, -5, -2, 1
Factor -5*m**2 - 1430*m - 102245.
-5*(m + 143)**2
What is s in 2*s**5/7 - 60*s**4/7 + 506*s**3/7 - 120*s**2 + 56*s = 0?
0, 1, 14
Find g, given that -g**2/3 + 10*g - 209/3 = 0.
11, 19
Suppose -2*z**2/3 - 88*z = 0. Calculate z.
-132, 0
Let -2*w**3 - 48*w**2 - 232*w - 288 = 0. Calculate w.
-18, -4, -2
Determine p so that -p**3/2 - 11*p**2/2 + 13*p = 0.
-13, 0, 2
Determine c, given that -9*c**4/2 - 1941*c**3/2 + 4595*c**2/2 + 3709*c/2 + 327 = 0.
-218, -1/3, 3
Factor -o**2 + 2026*o - 1026169.
-(o - 1013)**2
Solve -3*v**4 - 84*v**3 - 357*v**2 - 276*v = 0 for v.
-23, -4, -1, 0
Determine f so that 4*f**5/7 - 10*f**4/7 - 8*f**3/7 + 24*f**2/7 = 0.
-3/2, 0, 2
Suppose 3*q**2 - 75*q + 72 = 0. Calculate q.
1, 24
Solve 2*q**4 - 112*q**3 + 984*q**2 - 3008*q + 2944 = 0.
2, 4, 46
Determine x so that -3*x**2 - 174*x - 2523 = 0.
-29
Factor -h**3/4 - 34*h**2 - 1008*h + 10368.
-(h - 8)*(h + 72)**2/4
Solve -5*l**2 - 190*l - 185 = 0.
-37, -1
Suppose 2*i**5 + 8*i**4 - 58*i**3 + 56*i**2 + 56*i - 64 = 0. What is i?
-8, -1, 1, 2
Factor 3*s**2/4 - 123*s + 489/4.
3*(s - 163)*(s - 1)/4
Let 4*d**3 - 248*d**2 + 4292*d - 13456 = 0. Calculate d.
4, 29
Factor 5*f**4 + 53*f**3 + 178*f**2 + 160*f - 96.
(f + 3)*(f + 4)**2*(5*f - 2)
Factor -6*y**4 - 4*y**3 + 24*y**2 + 16*y.
-2*y*(y - 2)*(y + 2)*(3*y + 2)
Solve 4*s**2 - 4 = 0.
-1, 1
Find q such that -q**3/5 - 4*q**2/5 + 12*q/5 = 0.
-6, 0, 2
Find p such that 7*p**4/2 - 33*p**3/2 - 26*p**2 - 6*p = 0.
-1, -2/7, 0, 6
Factor 4*d**2.
4*d**2
Let w**5/6 + 7*w**4/2 + 31*w**3/2 + 35*w**2/6 - 25*w = 0. Calculate w.
-15, -5, -2, 0, 1
Factor 98*u**3/9 - 22106*u**2/9 + 12608*u/9 - 200.
2*(u - 225)*(7*u - 2)**2/9
Determine b so that 5*b**4 + 235*b**3 + 1070*b**2 + 840*b = 0.
-42, -4, -1, 0
Determine k so that 7*k**4/5 + 10*k**3 + 21*k**2 + 14*k + 8/5 = 0.
-4, -2, -1, -1/7
Suppose -3*m**5 + 24*m**4 + 135*m**3 + 108*m**2 = 0. What is m?
-3, -1, 0, 12
Factor -l**2/9 + 2*l/9 + 32.
-(l - 18)*(l + 16)/9
Suppose -4*y**3/7 - 248*y**2/7 + 512*y/7 = 0. What is y?
-64, 0, 2
Suppose 2*t**3 - 70*t**2 + 494*t + 2166 = 0. What is t?
-3, 19
Factor 3*k**5/4 - 3*k**4 - 96*k**3 + 576*k**2.
3*k**2*(k - 8)**2*(k + 12)/4
Factor 8*w**4/9 + 14*w**3/3 + 10*w**2/9.
2*w**2*(w + 5)*(4*w + 1)/9
Factor h**2/4 + 5*h + 19/4.
(h + 1)*(h + 19)/4
Factor 3*f**4 + 6*f**3 - 9*f**2.
3*f**2*(f - 1)*(f + 3)
Factor x**2/4 + 1039*x + 1079521.
(x + 2078)**2/4
Factor 5*d**2 + 590*d + 6360.
5*(d + 12)*(d + 106)
Determine l so that 2*l**4/5 + 5908*l**3/15 - 13808*l**2/15 + 9868*l/15 - 658/5 = 0.
-987, 1/3, 1
Solve -52*r**4 + 216*r**3 - 188*r**2 + 24*r = 0 for r.
0, 2/13, 1, 3
Suppose 3*g**4 + 1941*g**3 - 9*g**2 - 5817*g + 3882 = 0. Calculate g.
-647, -2, 1
Factor a**2/3 - 10*a/3 - 13.
(a - 13)*(a + 3)/3
What is l in -l**4 - 61*l**3 + 130*l**2 + 244*l - 504 = 0?
-63, -2, 2
Factor 4*s**2 - 92*s - 96.
4*(s - 24)*(s + 1)
Solve -2*u**4/7 + 4*u**3/7 + 6*u**2/7 - 8*u/7 - 8/7 = 0 for u.
-1, 2
Factor r**2/4 - r - 45/4.
(r - 9)*(r + 5)/4
Let -5*w**5 + 870*w**4 + 3620*w**3 - 10520*w**2 - 28800*w + 56960 = 0. Calculate w.
-4, 2, 178
Suppose -15*c**4 - 155*c**3 - 280*c**2 + 20*c + 160 = 0. Calculate c.
-8, -2, -1, 2/3
Solve 4*q**4/7 - 472*q**3/7 + 14388*q**2/7 - 27376*q/7 + 13456/7 = 0 for q.
1, 58
Factor 5*k**5 + 5*k**4 - 35*k**3 - 65*k**2 - 30*k.
5*k*(k - 3)*(k + 1)**2*(k + 2)
Factor 5*v**5 - 215*v**4 + 3240*v**3 - 20800*v**2 + 48640*v.
5*v*(v - 19)*(v - 8)**3
Solve n**3/4 + 2051*n**2/4 + 1048567*n/4 - 3164187/4 = 0 for n.
-1027, 3
Let 6*b**2 - 3314*b + 1104 = 0. Calculate b.
1/3, 552
Suppose -2500*q**3 - 56300*q**2 + 27456*q - 3312 = 0. Calculate q.
-23, 6/25
Find x, given that x**2/4 - 5*x/2 = 0.
0, 10
Factor l**4 - 10*l**3 + 19*l**2 + 30*l.
l*(l - 6)*(l - 5)*(l + 1)
Factor 2*k**4/5 - 6*k**3/5 - 138*k**2/5 + 286*k/5 - 144/5.
2*(k - 9)*(k - 1)**2*(k + 8)/5
Factor -3*h**4/5 + 3*h**3/5 + 3*h**2 + 9*h/5.
-3*h*(h - 3)*(h + 1)**2/5
Factor m**3 - 86*m**2/5 + 227*m/5 - 42/5.
(m - 14)*(m - 3)*(5*m - 1)/5
Solve 2*b**4 + 2*b**3 - 4*b**2 = 0 for b.
-2, 0, 1
Let 3*r**3 - 246*r**2 + 1824*r - 3552 = 0. Calculate r.
4, 74
Determine j so that -3*j**5/2 - 9*j**4/2 + 27*j**3/2 + 69*j**2/2 - 36*j - 54 = 0.
-3, -1, 2
Determine g, given that -8*g**2/3 - 12106*g/3 - 3026/3 = 0.
-1513, -1/4
Suppose 40*p**3 + 76*p**2 - 16*p - 16 = 0. Calculate p.
-2, -2/5, 1/2
Suppose 6*o**4 - 10*o**3 - 34*o**2 + 26*o + 12 = 0. What is o?
-2, -1/3, 1, 3
Let -y**3/8 - 147*y**2/4 - 7203*y/2 - 117649 = 0. What is y?
-98
Find x, given that -5*x**5 + 10*x**4 + 30*x**3 - 100*x**2 + 95*x - 30 = 0.
-3, 1, 2
Factor 2*g**4/7 - 10*g**3/7 - 6*g**2/7 + 34*g/7 - 20/7.
2*(g - 5)*(g - 1)**2*(g + 2)/7
Factor -3*c**3/4 - 201*c**2/4 + 207*c/2.
-3*c*(c - 2)*(c + 69)/4
Factor -7*q**3/4 - 243*q**2/4 + 161*q/2 - 18.
-(q - 1)*(q + 36)*(7*q - 2)/4
Find g, given that g**3/3 - 140*g**2/3 + 277*g/3 - 46 = 0.
1, 138
Factor 12*w**3 - 33*w**2 + 15*w + 6.
3*(w - 2)*(w - 1)*(4*w + 1)
Solve 3*v**2/2 - 48*v - 102 = 0 for v.
-2, 34
Factor 3*r**3 + 102*r**2 + 756*r - 1944.
3*(r - 2)*(r + 18)**2
Factor f**4/3 + 6*f**3 + 27*f**2.
f**2*(f + 9)**2/3
Factor -f**5 - 5*f**4 - f**3 + 17*f**2 + 22*f + 8.
-(f - 2)*(f + 1)**3*(f + 4)
Determine g, given that -13*g**2/5 - 27*g/5 - 2/5 = 0.
-2, -1/13
Factor -3*f**2/5 - 8082*f/5 - 5443227/5.
-3*(f + 1347)**2/5
Determine k, given that -4*k**4/7 + 30*k**3/7 + 92*k**2/7 + 78*k/7 + 20/7 = 0.
-1, -1/2, 10
Find a, given that -a**3/3 + 16*a**2/3 - 5*a = 0.
0, 1, 15
Determine r so that 21*r**3 + 771*r**2 - 222*r = 0.
-37, 0, 2/7
Solve -2*o**5/3 - 20*o**4/3 - 32*o**3/3 + 4*o**2/3 + 34*o/3 + 16/3 = 0 for o.
-8, -1, 1
Factor -3*j**2/7 + 15234*j/7 - 19339563/7.
-3*(j - 2539)**2/7
Find a such that -2*a**2/11 - 42*a/11 + 144/11 = 0.
-24, 3
Factor 15*c**3 - 305*c**2 - 560*c + 220.
5*(c - 22)*(c + 2)*(3*c - 1)
Let 14*f**3/5 + 32*f**2/5 - 2*f/5 - 4 = 0. What is f?
-2, -1, 5/7
Factor -2*j**2 + 24*j - 64.
-2*(j - 8)*(j - 4)
Factor -4*u**3/3 + 2080*u**2/3 - 89436*u - 181656.
-4*(u - 261)**2*(u + 2)/3
Factor -2*g**4/3 + 16*g**3/3 + 50*g**2 + 84*g.
-2*g*(g - 14)*(g + 3)**2/3
Factor 2*x**2/7 - 3568*x + 11139296.
2*(x - 6244)**2/7
Suppose -n**5/2 + 17*n**4/2 + 61*n**3/2 - 17*n**2 | {
"pile_set_name": "DM Mathematics"
} |
74647562
In base 14, what is 483 + -dd30?
-d88b
In base 2, what is -110001100001111 + 1000000000000?
-101001100001111
In base 13, what is 550c29 + -4?
550c25
In base 8, what is -1573260 + -671?
-1574151
In base 15, what is -19ea0b + -e?
-19ea1a
In base 3, what is -2111010222 + -1101000?
-2112111222
In base 15, what is -1223 + d23?
-400
In base 5, what is -1341 + 230332?
223441
In base 15, what is 2a - 12b1d5?
-12b1aa
In base 5, what is -44310030 - 242?
-44310322
In base 10, what is -378458052 - -5?
-378458047
In base 13, what is -5 + -79c1a?
-79c22
In base 15, what is -8e1 + 47d?
-463
In base 11, what is 2a07 - -9497?
113a3
In base 8, what is -72 + 2011777?
2011705
In base 6, what is -5032034 + 32?
-5032002
In base 2, what is -10 + 110011010001000001001?
110011010001000000111
In base 14, what is -6856924 + -5?
-6856929
In base 3, what is 12122 + 2122001210?
2122021102
In base 12, what is 9a1 + -2183?
-13a2
In base 6, what is 1 - 12223105?
-12223104
In base 4, what is 11013301 + -21232?
10332003
In base 8, what is -22 - -1273707?
1273665
In base 11, what is -552733 - -17?
-552717
In base 16, what is -20a - -557f?
5375
In base 2, what is 101 - -11000010001111011101100010?
11000010001111011101100111
In base 10, what is 2 - 4429372?
-4429370
In base 4, what is 13102223122200 - 10?
13102223122130
In base 16, what is -474 + c03e?
bbca
In base 5, what is 21133 + 342132?
413320
In base 15, what is 5671b2 + b?
5671bd
In base 11, what is -20610 - -315?
-202a6
In base 13, what is 18 + 1a2a624?
1a2a63c
In base 6, what is -2011333 - 52?
-2011425
In base 6, what is 21101452 + 1224?
21103120
In base 4, what is -101300212112 + -3?
-101300212121
In base 14, what is -1880cb5 - 1?
-1880cb6
In base 4, what is 10102221132103 - 3?
10102221132100
In base 11, what is 8 + 70a143?
70a150
In base 16, what is -8454 - 15?
-8469
In base 4, what is 1313 + 23211230?
23213203
In base 12, what is 435 - -5a4292?
5a4707
In base 9, what is 1886 + 2440?
4436
In base 16, what is 48aa714 - 8?
48aa70c
In base 12, what is -169a - -626b?
4791
In base 16, what is -3b2 - 10e90?
-11242
In base 11, what is 16 - -91412?
91428
In base 15, what is 3 + 3cb824?
3cb827
In base 13, what is 30a134 - 11?
30a123
In base 5, what is -41334324 - -2133?
-41332141
In base 10, what is -1143202 - 1?
-1143203
In base 14, what is -6 - 6c1c9?
-6c1d1
In base 3, what is 0 + -102012021222000120?
-102012021222000120
In base 9, what is 60067 - -4267?
64345
In base 6, what is -244542 + 5114?
-235424
In base 8, what is 213 + 14610?
15023
In base 15, what is 254 + -70ce?
-6d7a
In base 7, what is 0 + -363020515?
-363020515
In base 4, what is -31210232 - -222132?
-30322100
In base 3, what is -1001101011 - 10211000?
-1012012011
In base 12, what is -8 - 140735b?
-1407367
In base 10, what is 27 - -13179?
13206
In base 12, what is -17 + -811b5?
-81210
In base 9, what is 36 + -3347823?
-3347776
In base 7, what is -5 - 2641106231?
-2641106236
In base 13, what is 1 + -214699?
-214698
In base 4, what is -103303323112111 - -3?
-103303323112102
In base 10, what is -1362 + -28413?
-29775
In base 3, what is 2202020111220222 - -11?
2202020111221010
In base 4, what is 11021211032 - -1201?
11021212233
In base 9, what is -322164485 + 4?
-322164481
In base 6, what is 5 - 14325210032?
-14325210023
In base 9, what is 157 - 13538?
-13371
In base 11, what is 1299 + 4034?
5322
In base 7, what is -2035566 + -253?
-2036152
In base 13, what is 31127 + 12b?
31255
In base 5, what is -11322 + -11132032?
-11143404
In base 5, what is -141204302444 - -3?
-141204302441
In base 15, what is -c334ed + 5?
-c334e8
In base 8, what is 3030 - -3331?
6361
In base 2, what is 100011 - 110100101101110?
-110100101001011
In base 12, what is -7474a8 + b8?
-7473b0
In base 5, what is 12 - 3130020210?
-3130020143
In base 16, what is -5 - 8d7c88?
-8d7c8d
In base 6, what is -302422440142 + 5?
-302422440133
In base 11, what is 6618225 + -5?
6618220
In base 14, what is -1b + 286c50?
286c33
In base 10, what is 266 + 212091?
212357
In base 16, what is -5167b2 - -7?
-5167ab
In base 13, what is -5 - -5370677?
5370672
In base 14, what is -1 + -15d6c?
-15d6d
In base 8, what is -377674 + -13?
-377707
In base 10, what is -22645 - 460?
-23105
In base 10, what is -5093243 + -7?
-5093250
In base 5, what is 42142332412 + 0?
42142332412
In base 8, what is -2125557 + 0?
-2125557
In base 7, what is -261 + -6660644?
-6661235
In base 12, what is -261537 + -69?
-2615a4
In base 16, what is -2ec + 8d98?
8aac
In base 15, what is 58cd + 22d?
5b0b
In base 2, what is -1000100001 + -10111100001010?
-11000100101011
In base 14, what is -2d - -1663a73?
1663a44
In base 9, what is 25 + 8112831?
8112856
In base 6, what is -2335 - -122524515?
122522140
In base 3, what is 11 - -111102200102221?
111102200110002
In base 13, what is 373 - -6452?
67c5
In base 6, what is -110032 + 153352?
43320
In base 12, what is 572827b - 5?
5728276
In base 11, what is 4 - -895090?
895094
In base 4, what is 3 - -20002201233?
20002201302
In base 6, what is -20404 + 131453?
111045
In base 4, what is 10133112220203 + -12?
10133112220131
In base 11, what is 5250 - 613a?
-99a
In base 2, what is -10011001011 + -1010101101000111?
-1011000000010010
In base 6, what is 1 + -1005552212?
-1005552211
In base 10, what is 4 - -1820636?
1820640
In base 10, what is -5 - 444384?
-444389
In base 4, what is 1330033320 - -11111?
1330111031
In base 10, what is 469310 - 91?
469219
In base 12, what is -34960 - -56?
-34906
In base 10, what is -203098000 - 1?
-203098001
In base 14, what is -2c5b1 - 2?
-2c5b3
In base 8, what is -65735641 + 3?
-65735636
In base 12, what is 595393 - 1?
595392
In base 12, what is -4 + -14860688?
-14860690
In base 9, what is 5327 + -48300?
-42862
In base 6, what is 523135 + 211?
523350
In base 13, what is 5 - 2414a206?
-2414a201
In base 2, what is 101 + -1001001010101110100001?
-1001001010101110011100
In base 2, what is -11110000101011111000111 + 100?
-11110000101011111000011
In base 8, what is -4651635724 - -5?
-4651635717
In base 8, what is -3 - 1355070314?
-1355070317
In base 13, what is -22a984b + 8?
-22a9843
In base 15, what is 255e - -1547?
3aa6
In base 9, what is -63 - -433735?
433662
In base 4, what is -2 + 13112130303?
13112130301
In base 4, what is -322 - -3223031203?
3223030221
In base 7, what is -5 - 10512342?
-10512350
In base 12, what is 1a067390 + 2?
1a067392
In base 10, what is -119 + -17145584?
-17145703
In base 6, what is 254142003 - 0?
254142003
In base 9, what is -66285 - 1200?
-67485
In base 10, what is 359154 + -111?
359043
In base 2, what is -11101011100101 - 1001111101101101?
-1101101001010010
In base 3, what is -2 - 1020120120220110?
-1020120120220112
In base 6, what is -104355042540 - -5?
-104355042531
In base 16, what is -1fee - -ea9?
-1145
In base 10, what is 2 + 37430106?
37430108
In base 3, what is 22222210000100011 + 2?
22222210000100020
In base 3, what is 110121 + 10121101201010?
10121102011201
In base 6, what is 3 - -30554300?
30554303
In base 7, what is 44554503 + 2?
44554505
In base 13, what is -10351789 + 2?
-10351787
In base 9, what is -5 + -45621137?
-45621143
In base 11, what is -21701a940 + 5?
-21701a936
In base 15, what is -2d5a + -93a4?
-c20e
In base 5, what is -11132 + 1421044?
1404412
In base 5, what is -332 - 1023203?
-1024040
In base 6, what is 44 + 235431230?
235431314
In base 13, what is -4 - -9313a58?
9313a54
In base 5, what is -2 + 11120121?
11120114
In base 5, what is 223123430343 + -2?
223123430341
In base 13, what is -8251c858 - 1?
-8251c859
In base 6, what is 341002 + -524?
340034
In base 16, what is 39b6 - -10b?
3ac1
In base 16, what is -27679e - d4?
-276872
In base 3, what is -21102202 - -2100022?
-12002110
In base 8, what is -3 - 5710000?
-5710003
In base 10, what is 50378942 - -1?
50378943
In base 14, what is 1 + 9155630?
9155631
In base 12, what is 2639 + 2ab?
2928
In base 4, what is 31233023233 - -3?
31233023302
In base 15, what is -8 - -c88e?
c886
In base 16, what is 32f + 1181?
14b0
In base 2, what is -100 - -10011011010110010101010?
10011011010110010100110
In base 3, what is -11 - -110020102111020?
110020102111002
In base 5, what is -4202441014 - 4?
-4202441023
In base 6, what is 113450513 - 1033?
113445440
In base 16, what is 21f574b - -3?
21f574e
In b | {
"pile_set_name": "DM Mathematics"
} |
is positive.
l**(-248/81)
Simplify (o/(((o**2/o)/o)/o)*o*o**1*o**(-3)*o*o/(o*(o/(o/(o**(-1)/o)))/o))/((o**(-1/4)*o)**(-21)/((o*o/o**(-1/4))/o**1)) assuming o is positive.
o**22
Simplify (p**(-5/4)/p**4)**(-1/40)*(p**(-1/2)*p)**29/((p/(p/((p*p/p**(-1/6)*p)/p)*p))/(p*p/(p*p**(-2/3))*p)) assuming p is positive.
p**(2581/160)
Simplify (((o*o*(o/(o**(-4)*o))/o)/o**(-11/4))/((((o**19*o)/o)/o)/(o*o**(7/3)*o)))**(2/5) assuming o is positive.
o**(-71/30)
Simplify (c*c**(3/19))**12/(c**(1/6)*c*c**22) assuming c is positive.
c**(-1057/114)
Simplify ((t*t**(-1/31))**(4/23)*(t/t**(-2/51)*t)**(1/17))**(-2/23) assuming t is positive.
t**(-356384/14217933)
Simplify ((j/(j**(-2/25)/j))/(j/(j*j/(j**18*j)))*j*j/(j*j*j/j**(-1/7)*j)*j*j**(-13)/j)**50 assuming j is positive.
j**(-10872/7)
Simplify ((v/(v**(3/4)/v))**(20/7)*(v*(v/(v/(v**1*v)))/v)**(4/15))**(2/15) assuming v is positive.
v**(862/1575)
Simplify (o**2*o**(2/11))/(o**0*o**(-2/9))*(o**(-6/5)/o**(-2/11))**48 assuming o is positive.
o**(-23002/495)
Simplify (k**8*k/k**(-1/12))**16/((k*k**(3/4))/(k/(k**(-5)/k))*k*k/(k/(k*((k**6/k)/k*k)/k*k))*k**(-6)) assuming k is positive.
k**(1795/12)
Simplify (((v*(((v**(2/5)*v*v)/v)/v)/v)**(-1/30)*(v**(-2))**50)**(2/11))**(-2/19) assuming v is positive.
v**(30004/15675)
Simplify (j*j*j/j**(-19))/(j/(j**(-1/10)/j))*(j**(-18)*j)/j*j**22 assuming j is positive.
j**(239/10)
Simplify (((h**(1/7)*h*h**(-1)*h*h)/(h/(h*h/h**1))**(39/5))**(-14/13))**(-6/13) assuming h is positive.
h**(180/169)
Simplify (p**(-1)/(p/(p**14/p)*p)*(p/((p**2/p)/p))**(27/2))**(1/81) assuming p is positive.
p**(47/162)
Simplify w**(-2/3)/(w**(-2/5)/w)*w/w**(1/9)*(w/(w*w/(w**(2/3)/w)))/w*(w**2*w*w*w)**(-24)*(w*w/(w**(-2)*w))**(2/3) assuming w is positive.
w**(-5342/45)
Simplify ((u*u**(-1/5)/u*u)/u**(-2/7))**38*(u**0*u/u**(1/3))/(((u**(3/5)*u)/u)/(u**(-3)*u)) assuming u is positive.
u**(4129/105)
Simplify ((x/((x/(x/(x/(x**(-2/25)*x)))*x)/x)*x**(-5)/x*x**(1/3)*x*x/(x*x*x**(-5/4)*x))**(-2/13))**(-4/3) assuming x is positive.
x**(-2698/2925)
Simplify (k**(2/3)*k**(-2/7))**13/(((k**(3/5)/k)/k**(1/4))/(k*k**(-1)*k*k)**12) assuming k is positive.
k**(12433/420)
Simplify (((f/((f*f**(-26))/f)*f*f)/f**(5/8))/(f**(-9)*f*f*f*f**(-26)))**38 assuming f is positive.
f**(9177/4)
Simplify (f*f*f**(-1/4)/f)/f**3*(f*f**2)**(1/8)*((f**(-3)/f)/f**(-4))/((f/((f/(f**(-1)*f))/f))/(f/(((f*f**(-8))/f)/f))) assuming f is positive.
f**(57/8)
Simplify (((o/o**(-8))/o*o/o**(-2))/(o**2*o**9))**11 assuming o is positive.
1
Simplify ((u**(-1/16)/u)/(u**(-11/4)*u))**(-26)*(u*u/u**0)**(-2/23)/(u*u*u**7*u*(u**9*u*u)/u*u*u*u) assuming u is positive.
u**(-7553/184)
Simplify (j/j**(-2/5))**(-24)*(j*j/(j*j**(-7)*j))/j*j/j**2*((j/(j/(j**(-1/3)*j)))**(4/19))**(-8) assuming j is positive.
j**(-8471/285)
Simplify ((q/(q/(((q*(q**(-4)/q)/q*q)/q*q*q)/q)))**(-2/3))**(-45)*((q**(-3/5))**(4/5))**(2/67) assuming q is positive.
q**(-201024/1675)
Simplify ((o*o*o**7)/o*o*o**7)**(-21)*(o**(3/4)*o/(o/o**5))/(o**(-2/17)*o/((o/o**1)/o)) assuming o is positive.
o**(-22585/68)
Simplify ((m/m**(-1/4)*m)**(6/23))**41/((m**(-6)*m)/(m*m*m/m**2*m))**(-28) assuming m is positive.
m**(-7909/46)
Simplify ((k**0/k**(-14))**5)**45 assuming k is positive.
k**3150
Simplify ((b**2/(b**3*b))/(b**1)**(1/3))/((((b*b*b/(b*b*b*b*(b/(b**(2/5)/b))/b*b))/b*b)/b)**49*b/(b*b**6)*b**(3/4)/b) assuming b is positive.
b**(10819/60)
Simplify ((c*c**(-1/4))**33)**25*c*c*c/((c/(c/(c**5*c*c*c*c)))/c*c*c)*c**(2/21)*(c*c*c**(-2/11))/c**(-5) assuming c is positive.
c**(571645/924)
Simplify (n**(-6)/((n/(n*n*(n*n*n/(n*n**(-2/3)*n)*n)/n*n*n)*n)/n)*(n**0*n)**(1/31))/((n**(1/2))**(-16/5)/(n/((n*n**(-2))/n))**(-43)) assuming n is positive.
n**(-59846/465)
Simplify ((d**(-2/9)/d)**(-29))**(-20)*(d**1)**3*(d**0)**(-40) assuming d is positive.
d**(-6353/9)
Simplify ((k/k**(-4/3)*k)/(k*k*k**(1/6)*k)*k**(6/13)/k*k**29)**(-28) assuming k is positive.
k**(-31262/39)
Simplify s**(-2/13)/s*s*s**1*s*s**(2/3)*s/(s*s**(-2)*s)*(s**(-6)*s/s**4)/(s*s*s*(s/((s*s**(2/7)/s*s)/s*s))/s*s*s)**46 assuming s is positive.
s**(-48142/273)
Simplify (w*w**(-2)*w**(-3/4)/w)/(w**(1/3)/(w**(-7)/w))*(w/(w**(-1/4)*w)*w)**(-2/13)/(w**(-1)/w)**39 assuming w is positive.
w**(10409/156)
Simplify (a**6*a*a/a**2*a)/(a**(-2)*a**(2/3)/a)*(a**0)**(-1/35)/(a**(2/3)*a*a/a**(3/5)*a) assuming a is positive.
a**(94/15)
Simplify (((j**28*j)/j*j*j**(13/3)*j*j)**(-28/5))**43 assuming j is positive.
j**(-127624/15)
Simplify ((x**(4/3)/x)/(x*(x/x**(-2/25))/x))**(-1/17)*x**7/(x/(x/(x*x/((x**(-1)/x*x*x)/x)*x*x)))*x**(1/5)*x**3 assuming x is positive.
x**(6686/1275)
Simplify ((t/t**(1/5)*t*t)/t)/(t**(-6)*t*t)*(t/(t*t**(-5)))/t*t/(t*t*t/(t*t**5*t))*((t**(-1)/t)/t)**(-2/129)*(t**1)**48 assuming t is positive.
t**(13512/215)
Simplify (c/(c/c**(2/3))*c**(-2/11))**(26/9)*c**(-2/3)*c**(-2/5)*c**(-4)*c**(3/7) assuming c is positive.
c**(-33653/10395)
Simplify ((g**(-4)*g*g**(-6/7)*g)/((g*g*g**(-2/7)*g*g*g)/g)**(1/9))**(-19) assuming g is positive.
g**(3914/63)
Simplify (w**(2/5))**(-45)/((w**5*w)/w**(-1/12))*((w**0)**(3/8))**(1/14) assuming w is positive.
w**(-289/12)
Simplify (((j/(j*j**(2/5)))/j)/(j/j**(-7)*j))/(j*j/j**(1/3))**(-3/14)*(j**6*j**(-6)*j)**11 assuming j is positive.
j**(67/70)
Simplify ((((p*p**(-29))/p*p*p**(-1/3)/p)**(-40))**(-49))**41 assuming p is positive.
p**(-7071680/3)
Simplify ((y**(-11/5))**(-19)/(y/y**(-11))**(-26))**36 assuming y is positive.
y**(63684/5)
Simplify (o/(o*o**(2/11)))/o**(-3/7)*(o*o**(-2/7)*o)/o**5*(o**(-1/5)*o)/o*o*o*o**(-4)*o*o**(-1/3)*o**(-1/3) assuming o is positive.
o**(-5666/1155)
Simplify ((i**(4/15)*i*i*i**(-16/5)*i)**(-28))**37 assuming i is positive.
i**(-1036/15)
Simplify ((g*g**(-1)*g)**10)**(7/4)*(g**(-1/4)/(g*g**7/g))**(-48) assuming g is positive.
g**(731/2)
Simplify (l**(-3/10)/(l*l**(-12)/l))**23*(l/(l*l**(-2))*l)**13*l**(3/5)*l**(-2/9) assuming l is positive.
l**(27763/90)
Simplify (h**(-2/11)/(h*h**(1/6)))/((h**(1/3)*h)/h*h/((h/(h**6/h))/h)*h)*h**(-6)/((h**(-1/4)*h)/h)*(h**(3/4)*h)/h**(6/5) assuming h is positive.
h**(-1527/110)
Simplify ((x**(-22)/(x*x/(x**(-21/2)/x)*x*x))/((x/(x*x/((x*x/(x*x**12))/x)))/(x*((x**(16/3)/x)/x)/x)))**25 assuming x is positive.
x**(-3175/6)
Simplify (b/b**(-8)*b/(b/(b**(-2)*b)))/(((b**(-2/7)*b)/b)/(b/(b/(b**(-6)/b))))*((b/b**(-2/25))/b*b**(-5/2)/b)**(-19) assuming b is positive.
b**(23193/350)
Simplify ((k**(1/4))**25)**(-5)*(k**(-2/5))**12/(k*k/(k**(-2/7)/k*k))**(2/53) assuming k is positive.
k**(-268131/7420)
Simplify (q**(-25))**(-34)/(((q*q*(q*q**7*q)/q)/q)/(q*q/((q**(2/41)/q)/q))) assuming q is positive.
q**(34643/41)
Simplify (((z**(2/29)/z)/(z/(z**(2/5)/z)))/(((z**(-1)*z*z)/z)/z)**(1/3))/((z/(z/z**(3/4)))/(z**7*z)*(z**(-2/7)*z)**(-3/4)) assuming z is positive.
z**(34031/6090)
Simplify (g**(-7))**(4/21)*g**(5/13)*(((g*((g**(-5/8)*g)/g)/g*g)/g)/g*g*g*g)/g*g assuming g is positive.
g**(133/312)
Simplify n*((n**(2/63)*n)/n)/n*(n**10/n)/n*(n/(n/(n*(n/(n**(-15)/n)*n)/n)))**(-3/28) assuming n is positive.
n**(769/126)
Simplify ((((j**(-6)/j)/j)/(j**2/j*j))/((j*j*j**(-3/2))/j**(1/7)))/((j**9*j)/j**(-3))**10 assuming j is positive.
j**(-1965/14)
Simplify ((b**1*b**(-6)/b*b)/(b**0/b)**(-35))/((b**(1/3)/(((b*((b/(b/b**(2/15)))/b)/b*b*b*b)/b)/b))/((b*b**(2/3)*b*b)/b**(-2))) assuming b is positive.
b**(-518/15)
Simplify x**(2/9)*x*x**(-1)/x*(x**0)**(-2/21)*(x**4/(x**(-1/2)*x))**(-10/3) assuming x is positive.
x**(-112/9)
Simplify ((s**3/s)/(s*s**2))**(-2/25)*(s*s**3*s**(-2/11))/(s**(2/5)*s/(s/(s**(-1/10)/s))*s*s*s) assuming s is positive.
s**(879/550)
Simplify ((b**(-4/7)*b/(b*b*b*b**(-1/4)/b)*b**3*b**12)**(20/7))**17 assuming b is positive.
b**(32555/49)
Simplify ((k*(k*k/((k/(k/k**(1/3)))/k))/k)**(-38))**(-50)*(k*k**(-2/27)/k*k)/k*k*k*k*k**(-3/2)*(k*k*k**(-1/5))/k**(-2/13) assuming k is positive.
k**(17795863/3510)
Simplify (((t**(-7)/(t*t**(-1/3)))/(t*t**(-10)*t**(4/3)))**(-8/3))**(-2/25) assuming t is positive.
1
Simplify q/(((q**6/q)/q)/q)*q/q**7*q**(2/15)*q*q**(-5/3)*(q/q**6*q*q**(-4))**38 assuming q is positive.
q**(-4688/15)
Simplify ((y/((y/(y*y/(y**(-6)/y)))/y))/y*y/y**(2/5))/(y/(y*y*y**2)*y)**(-12/11)*((y*y/y**(-2/11)*y*y)/(y**10*y))**(3/23) assuming y is positive.
y**(8259/1265)
Simplify ((((p/p**3)/p*p)**(1/18)*(p**(-1/4))**12)**(1/2))**(-9/7) assuming p | {
"pile_set_name": "DM Mathematics"
} |
54148 for t.
55
Solve -1365077 = 290*l - 1363917 for l.
-4
Solve 56*t - 36*t + 276597 = -66*t + 277199 for t.
7
Solve 0 = 500*b - 34*b + 63*b + 6877 for b.
-13
Solve -10631*w - 10359 - 19870 + 4200 - 5864 = 0 for w.
-3
Solve -437*p = 1577*p - 104728 for p.
52
Solve -3670 = -457*n + 1407 + 5434 for n.
23
Solve 68200 = 1008*o + 1720*o for o.
25
Solve 818310 = -168*z + 798318 for z.
-119
Solve 0 = 1472*i - 7705*i + 458443 - 22133 for i.
70
Solve 29*u + 2748 = 3038 for u.
10
Solve 267*c = -484*c - 1081 + 10844 for c.
13
Solve 1407*g + 91738 - 5911 = 0 for g.
-61
Solve 720*d - 71*d + 1343 = -650*d + 19529 for d.
14
Solve 257*x - 7034 - 5059 = -160*x for x.
29
Solve -32*p + 1469 = p + 1172 for p.
9
Solve 46105 + 174643 = 3806*p for p.
58
Solve -2534*w - 30726 + 15732 = 33152 for w.
-19
Solve -3065 = -38*d - 1599 - 1542 for d.
-2
Solve 188*n + 2403 + 3882 + 1284 = -2207 for n.
-52
Solve 108*l + 13431 = 7599 for l.
-54
Solve 72090 = -3272*v + 869*v for v.
-30
Solve 274*p + 875 = 239*p for p.
-25
Solve -34680 = 673*w + 1959 - 9719 for w.
-40
Solve 108*q = 50*q - 10*q - 2108 for q.
-31
Solve 880*z + 1060*z = 1012*z - 34336 for z.
-37
Solve 93*m + 17*m = -52*m + 12474 for m.
77
Solve -285*p - 237*p = 340*p - 966*p + 3432 for p.
33
Solve -278*i + 8 + 72 = -65 - 133 for i.
1
Solve -2615*h = 43305 + 60619 + 11232 - 21016 for h.
-36
Solve 2640 - 1904 = -73*o + 1612 for o.
12
Solve -392*d - 1371 = 415*d + 7506 for d.
-11
Solve 0 = -134437*b + 134309*b - 7040 for b.
-55
Solve -2758*q = -2783*q + 550 for q.
22
Solve -7513*b - 140247 = 37786 - 296973 - 324327 for b.
59
Solve 131*p + 28 - 9290 = 1087 for p.
79
Solve 36*r + 1074 = -646 + 471 - 731 for r.
-55
Solve 241*w - 2711 = 104*w + 775*w + 7497 for w.
-16
Solve -2984 = 1620*m - 1247*m for m.
-8
Solve 2248*a - 17157 + 157710 = -189903 for a.
-147
Solve 909*t - 26718 = 10551 for t.
41
Solve -1774*k = 482*k + 99264 for k.
-44
Solve -670*z + 388*z - 1009 - 1196 = -303*z for z.
105
Solve -182*h + 336*h + 437*h - 9*h + 61692 = 0 for h.
-106
Solve 16*k - 4299 + 2303 = -2220 for k.
-14
Solve -12582*m = -12349*m - 75 - 391 for m.
2
Solve 87816 - 34743 = -464*b - 4141*b - 121917 for b.
-38
Solve 904*u = 443*u + 614*u + 4284 for u.
-28
Solve 209*l + 5128*l - 833712 = -2198*l + 1219*l for l.
132
Solve 9046 = 191*x - 25510 + 7816 for x.
140
Solve 118*r - 32411 + 6395 = -424*r for r.
48
Solve -758*g - 3280 - 2784 = 0 for g.
-8
Solve 118184 = 245*t + 1251*t for t.
79
Solve 221*h = -152*h + 106*h + 23229 for h.
87
Solve -70*s - 90 = 125 - 915 for s.
10
Solve -31*c = 33*c - 5*c + 885 for c.
-15
Solve 0 = -265*q - 614 - 660 - 2436 for q.
-14
Solve -117*f + 68*f = -74*f + 629 - 104 for f.
21
Solve 3522*a + 3480 = 3174*a for a.
-10
Solve -6991 = -912*z + 6076 + 30709 for z.
48
Solve -8949 - 730198 = 12577*w + 90935 for w.
-66
Solve 0 = 1954666*a - 1954478*a - 5640 for a.
30
Solve 103*c + 20996 = -481*c + 19030 - 38330 for c.
-69
Solve 1314*n - 515*n - 12864 = 598*n for n.
64
Solve -1697*d - 522*d = 97636 for d.
-44
Solve 195882 - 59370 = -3792*h for h.
-36
Solve -459*c + 4402*c + 2130*c - 230774 = 0 for c.
38
Solve 0 = 1109*n - 9108 - 19726 for n.
26
Solve 3100 = 281066*t - 281376*t for t.
-10
Solve 147*n - 1384 = 6701 for n.
55
Solve 105 - 440 - 109 = -169*r + 21*r for r.
3
Solve -3*t - 187 - 4446 = 110*t for t.
-41
Solve -49*m + 10*m + 1107 = 2*m for m.
27
Solve -1913*o - 1714*o - 355*o - 4297 - 59415 = 0 for o.
-16
Solve 104*c - 463 = -76*c + 299 + 5358 for c.
34
Solve -145939 = -3497*h + 1413*h - 60594 + 116803 for h.
97
Solve 9577*t + 176180 + 126385 = 542412 + 545467 for t.
82
Solve -38726 - 23981 = -777*n - 12979 for n.
64
Solve -2368 - 7423 - 289 = 240*d for d.
-42
Solve 439 - 290 = -30*i - 560 - 191 for i.
-30
Solve 10*b - 28*b = 5*b - 735 - 392 for b.
49
Solve 758*v + 609*v + 64249 = 0 for v.
-47
Solve 36312 - 95250 = 1786*l for l.
-33
Solve -168*a - 7893 = 4500 + 4911 for a.
-103
Solve 701*r - 8055 = -194*r for r.
9
Solve 12*k = 7*k + 24*k - 855 for k.
45
Solve -445*d - 3927 = -374 + 9797 for d.
-30
Solve 53148 = -2830*h + 192848 + 129150 for h.
95
Solve 80*j + 19*j = -52*j - 23*j + 13572 for j.
78
Solve -7*s = 224 + 212 - 107 for s.
-47
Solve 5329 - 31151 = -1334*x - 62456 - 48742 for x.
-64
Solve 17*y - 439 + 117 + 120 = -100 for y.
6
Solve -75*b + 3 = -66*b - 24 for b.
3
Solve -4177*i - 6193*i - 342210 = 0 for i.
-33
Solve 80*h = 191*h - 65*h - 184 for h.
4
Solve -370 = -192*j + 182*j for j.
37
Solve 52*m + 713 + 1203 = 198*m + 310 for m.
11
Solve 0 = -1626*r - 107948 - 28636 for r.
-84
Solve 491*b = 158*b + 9324 for b.
28
Solve 51 = -67*r + 186 - 1 for r.
2
Solve -704*y - 12624 = -43231 - 46064 + 14719 for y.
88
Solve -2755*m + 668*m - 17953 = -9796 - 229379 for m.
106
Solve -2708*x - 1232*x - 554*x = 886*x - 220580 for x.
41
Solve 15936*j - 121674 = 13039*j for j.
42
Solve 1103*v - 52954 = -7688*v - 414441 + 9847 for v.
-40
Solve 1011 - 6384 = 128*s - 1346 + 2629 for s.
-52
Solve -52*p + 188*p = -126 - 4906 for p.
-37
Solve 882*y = -453*y - 1438*y + 448*y + 37200 for y.
16
Solve 1814*y - 192*y = 16220 for y.
10
Solve 0 = -621*k + 533*k - 4664 for k.
-53
Solve -1230*l = -39789 + 7709 - 13430 for l.
37
Solve -561 - 519 = -49*r - 183 + 230 for r.
23
Solve 1217*w - 2918 - 46427 = 85742 for w.
111
Solve 7454*n - 3795*n - 7011 = 3782*n for n.
-57
Solve 49983*z - 47605*z = -302006 for z.
-127
Solve 367*r - 640*r + 7098 = 0 for r.
26
Solve 278*p - 59*p + 374*p - 108*p = 29585 for p.
61
Solve 31440 = 327*j - 1587 for j.
101
Solve -3947 = -183*k + 30*k + 4481 - 6898 for k.
10
Solve 0 = -4071*a + 1882*a - 15881*a + 596310 for a.
33
Solve 148*f + 152*f = 6300 for f.
21
Solve -3110*f + 77601 = -1701 - 1558 for f.
26
Solve 17107 = 54*j + 19969 for j.
-53
Solve -10336 = -6330157*l + 6329885*l for l.
38
Solve 6321*m = 3120*m + 3163*m + 798 for m.
21
Solve 0 = 676*o - 1184 - 844 for o.
3
Solve 19134816*q - 19134643*q + 12802 = 0 for q.
-74
Solve 50*x - 20*x = -164*x - 1272 + 302 for x.
-5
Solve 86*c - 1827 = 534 + 1423 for c.
44
Solve -429*l = 160*l - 39*l - 15400 for l.
28
Solve -49290 + 18440 - 35571 = -4280*t + 91939 for t.
37
Solve 0 = 161651*r - 161626*r - 525 for r.
21
Solve 0 = 4223*r - 4183*r + 440 for r.
-11
Solve 0 = -222*y - 713 - 1063 for y.
-8
Solve -412*h + 4674 + 34071 = -1847*h for h.
-27
Solve 0 = 2184*n - 60806 - 30922 for n.
42
Solve -92 = 37823*x - 37869*x for x.
2
Solve 1173*y = -657*y - 690*y - 2520 for y.
-1
Solve -10632*p + 5290*p + 5049 = -5635 for p.
2
Solve 8478*y - 399182 = 355360 for y.
89
Solve 916*z + 119*z - 72779 = -932*z for z.
37
Solve -2676*a + 170139 = 2133*a + 64341 for a.
22
Solve 0 = 496*d + 631 + 1849 for d.
-5
Solve -217*u + 1543 = 387*u - 18993 for u.
34
Solve 151 - 43 = 435*m + 447*m - 774*m for m.
1
Solve -4645*y + 212365 + 228910 = 0 for y.
95
Solve 798*u + 546*u + 29568 = 0 for u.
-22
Solve 71*b + 28*b = -694*b - 486*b - 24301 for b.
-19
Solve 90*q - 1730 - 2230 = 288*q for q.
-20
Solve -1890*m + 1680 = 107520 for m.
-56
Solve -8262*w - 8256*w - 705 = -16503*w for w.
-47
Solve 87885 = 3493*s - 48342 for s.
39
Solve -324*p - 2658 = -1118*p - 92*p for p.
3
Solve 726*q - 11268 = -2556 for q.
12
Solve 15132 = -595*v - 17051 + 8978 for v.
-39
Solve 305 = 11*v + 23*v - 1 for v.
9
Solve 3975*j + 139930 = -23*j for j.
-35
Solve -158*s - 163*s - 105*s = 193*s + 14237 for s.
-23
Solve -20387 + 447089 = 17773*f - 23168 - 243277 for f.
39
Solve 0 = 87915*h - 85998*h + 21087 for h.
-11
Solve 0 = 728*m + 11036 + 34100 for m.
-62
Solve -1240241*y + 1763 = -1240282*y for y.
-43
Solve -110*u - 133*u + 17*u - 2260 = 0 for u.
-10
Solve 258*q + 32*q = -170*q + 6440 for q.
14
Solve -81*j - 25*j + 1155 = -73*j for j.
35
Solve 447*z - 24594 + 10599 = 16401 for z.
68
Solve 0 = 1203*g + 43534 + 14210 for g.
-48
Solve 0 = -3922*d + 5090*d + 10059 - 3051 for d.
-6
Solve -217*m + 1147 = -106*m - 142*m for m.
-37
Solve 90*a - 79 = -45 - 484 for a.
-5
Solve -158719*q - 5145 = -158824*q for q.
49
Solve 6134*k - 235200 = -1706*k for k.
30
Solve 1128 - 517 = -43*u - 636 for u.
-29
Solve 0 = 104*p + 83 + 236 + 201 for p.
-5
Solve 339575*m - 339389*m - 1116 = 0 for m.
6
Solve 771*s + 92646 = 154326 for s.
80
Solve -228*i - 163*i + 2643*i = -87828 for i.
-39
Solve -358*u = 1219*u - 466*u - 84436 for u.
76
Solve 18 | {
"pile_set_name": "DM Mathematics"
} |
positive.
p**288
Simplify ((o*o*o**(-6)/o)/(o*((o/o**(-8/7))/o)/o))/(((o/o**(-2/5))/o)/o)**(-41) assuming o is positive.
o**(-1076/35)
Simplify (r*r/(r*r**0/r))/(r*r**(-1/7))*(r**(-2/7)*r)/(r*r*r*r/r**(-1/5)) assuming r is positive.
r**(-82/35)
Simplify ((w**(1/21)*w)/((w*w**(-4/7))/w))**3 assuming w is positive.
w**(34/7)
Simplify (((h/(h**(-4)*h))/h)**(-37))**36 assuming h is positive.
h**(-3996)
Simplify n/(n/(n/(n*((((n/(n/n**(-1))*n)/n)/n)/n)/n*n)))*n*n**9 assuming n is positive.
n**13
Simplify (r**(-1/5)/r)**34 assuming r is positive.
r**(-204/5)
Simplify (h*h**10)**(-2/57) assuming h is positive.
h**(-22/57)
Simplify (y*y**(-1/2))**(-1/15)*((y*y*y*y**3*y)/y)**29 assuming y is positive.
y**(5219/30)
Simplify (f**(10/7)*f)/f**30 assuming f is positive.
f**(-193/7)
Simplify z**(-4/7)*z/(z*(((z/(z*(z*z*z*z/(z/(z**(-3)*z)*z))/z*z)*z)/z*z)/z)/z*z)*(z**(-5)/z)/(z/(z*z*z*(z*z**(1/5)*z)/z*z)*z) assuming z is positive.
z**(-118/35)
Simplify c**(-1/2)*c*c*c/(c*c**(3/32))*c assuming c is positive.
c**(77/32)
Simplify ((o/(o**(4/3)/o)*o)/(o**(-1/5)/o))**(14/5) assuming o is positive.
o**(602/75)
Simplify ((r**5/r)/(r/r**(-7)))/(r*r*r*r*r**(-8)/r*r**5*r) assuming r is positive.
r**(-5)
Simplify (u**(-1)/u**(2/5))/((u*u**(2/17))/(u**(-2/7)*u)) assuming u is positive.
u**(-1073/595)
Simplify (n**(-35))**(-2) assuming n is positive.
n**70
Simplify ((c*c*c/((c**20*c)/c)*c)/c*c)/(c/(((c*c**(-19/4)*c)/c)/c)) assuming c is positive.
c**(-87/4)
Simplify ((u**(2/7))**(-50))**43 assuming u is positive.
u**(-4300/7)
Simplify (f**(-1)*f/(f/(f**(7/3)*f)))/(f*f**(2/19)*f*f**(-3/5)) assuming f is positive.
f**(236/285)
Simplify ((u*u**(-1/5)/u)/u*u)**(-4)/(u**(2/5)*u**(-1/5)) assuming u is positive.
u**(3/5)
Simplify (m/((m/(m**(-22)*m))/m))**(-5/6) assuming m is positive.
m**(50/3)
Simplify p**6/p**8 assuming p is positive.
p**(-2)
Simplify ((v**(-1/4)*v*v*v)/v*v*(v*v*v**(2/27)*v)/v)/((v*v**(-4/7))/v*v**(-2/7)) assuming v is positive.
v**(4295/756)
Simplify (d**(-11))**(12/5) assuming d is positive.
d**(-132/5)
Simplify ((q**0)**(2/67))**(-5) assuming q is positive.
1
Simplify w**(-1)/((w/w**(-8/3))/w*w)*(w**(-2)*w)**8 assuming w is positive.
w**(-38/3)
Simplify (b/b**(2/5))/b**2*(b*b*b**0*b)/b*b*b**(-4) assuming b is positive.
b**(-12/5)
Simplify ((r**(-1/2)*r)/r**(-2))/((r/((r*r*r**(-1/5)*r*r*r*r)/r))/(r*r**(-2)*r*r)) assuming r is positive.
r**(73/10)
Simplify (l/((l**6*l)/l*l)*l**(-7/6))/(l/((l**(2/9)/l)/l))**20 assuming l is positive.
l**(-1129/18)
Simplify (b/(b*b**(-3)))/b**(-6)*b**(-1/4)*b*b**(-1/11) assuming b is positive.
b**(425/44)
Simplify (((v*v**0/v)/v)/v)/v**(2/3) assuming v is positive.
v**(-8/3)
Simplify (v/(v*v**36))/(v*(v/(v*v**(-2/43))*v*v)/v*v) assuming v is positive.
v**(-1679/43)
Simplify (f**(-1/2))**15*((f*f*f/(f/(f*f**3*f)))/f)/f*f/(f*f**(3/5)) assuming f is positive.
f**(-31/10)
Simplify (j/(j*j*j**(-2/3)*j*j))**(-12) assuming j is positive.
j**28
Simplify ((n**0/n)**(1/33))**42 assuming n is positive.
n**(-14/11)
Simplify (g**(-3/4)*g*g*g*g)**(-11/5)*(g**(-1/4))**(-27/4) assuming g is positive.
g**(-437/80)
Simplify ((o**(-2/5)*o*o)/o*o)/o**(2/17) assuming o is positive.
o**(126/85)
Simplify (((f*f**5/f)/f)/f)**(-7/5) assuming f is positive.
f**(-21/5)
Simplify n**(-18/13)/(n**(-38)/n) assuming n is positive.
n**(489/13)
Simplify (f/(f*f*f**8*f))**(1/29) assuming f is positive.
f**(-10/29)
Simplify (l**(-12/13)/l)**7 assuming l is positive.
l**(-175/13)
Simplify b*b**(1/2)*b*b/(b*b/b**(-2/59)) assuming b is positive.
b**(173/118)
Simplify n**36/n**(-1/8) assuming n is positive.
n**(289/8)
Simplify (h/h**3)**30 assuming h is positive.
h**(-60)
Simplify w**(-18)*(w**(1/3)/w)/w*w assuming w is positive.
w**(-56/3)
Simplify ((r/r**(4/9))/r**9)/((r**(-5/3)*r)/(r/(r*r*(r**(2/9)/r)/r*r))) assuming r is positive.
r**(-8)
Simplify (n/(n/(n/(n*n/n**1))))/n**(1/9)*(n**0/n*n)/n**(4/9) assuming n is positive.
n**(-5/9)
Simplify (t**4/t**(-11))**18 assuming t is positive.
t**270
Simplify (h**(-1/4)*h)**(-13/2) assuming h is positive.
h**(-39/8)
Simplify (c**(-2/9)/(c**(-1/2)*c))/(c**0*c*c)**(-1/30) assuming c is positive.
c**(-59/90)
Simplify y**(-2/21)*y*y**2*y*y**(-2/13)*y*y**(-4/5)*y assuming y is positive.
y**(6758/1365)
Simplify (q*q**(2/3))**(1/62)/(q**(1/5)/(q*q**(-2/3)/q)) assuming q is positive.
q**(-781/930)
Simplify (y**(1/10)/y)/y*y*y*y/((y/(((y**9/y)/y)/y))/y) assuming y is positive.
y**(71/10)
Simplify ((r*r**(-2))/r)**15 assuming r is positive.
r**(-30)
Simplify x**(-2/21)*x**(-1/8) assuming x is positive.
x**(-37/168)
Simplify t**5*t**5*t/(t*t**10)*((t**(-4/7)*t*t)/t)/t assuming t is positive.
t**(-4/7)
Simplify (z**(-2/7)/(z/z**1))/((z*z**(-2/5))/z**6) assuming z is positive.
z**(179/35)
Simplify d*d**(-2/5)*d*d**(-3/11) assuming d is positive.
d**(73/55)
Simplify (v**(-5/8)/v*v*v*v)/(v/v**(-5)) assuming v is positive.
v**(-37/8)
Simplify ((k/(k*k**(-15)))/k)/((k*k**(-1/5)/k)/k) assuming k is positive.
k**(76/5)
Simplify (u*u**(-4/5))**42 assuming u is positive.
u**(42/5)
Simplify ((h/h**(-9/5))/h)/((h*h*(h**(-6/23)*h)/h*h)/h*h) assuming h is positive.
h**(-108/115)
Simplify t*t**(-2)*t**(-20)*t*t assuming t is positive.
t**(-19)
Simplify w**(2/91)*w*w/(w*w*w/w**(16/11)*w*w*w)*w assuming w is positive.
w**(-1525/1001)
Simplify ((s**(-1/3))**42)**46 assuming s is positive.
s**(-644)
Simplify (h**2/h**(2/3))**(-10) assuming h is positive.
h**(-40/3)
Simplify (m/m**(1/26))**21 assuming m is positive.
m**(525/26)
Simplify t*t*t*t**15*t*t*t*t**(-2/9) assuming t is positive.
t**(187/9)
Simplify (k/(k**0/k))**(2/137)*(k*k**0)**(-16/5) assuming k is positive.
k**(-2172/685)
Simplify z*z**(16/9)*z*z**(-31) assuming z is positive.
z**(-245/9)
Simplify r/r**6*(r**19*r)/r assuming r is positive.
r**14
Simplify (h/(h**(2/5)/h*h)*h/(h*h**4))**(-2/19) assuming h is positive.
h**(34/95)
Simplify (q/q**(12/11)*q*q/(q*q**16/q*q)*q)**(-4/23) assuming q is positive.
q**(620/253)
Simplify o**(2/5)*o*o/(o*o/o**(-1/8)*o*o) assuming o is positive.
o**(-69/40)
Simplify r**(-6)*r*r**(-3)/r*r*r*r*(r*r*r**4)/r*r**(-5) assuming r is positive.
r**(-6)
Simplify (k**(2/31)/k**(-4/11))/(k/(k**(2/7)/k)*k/(k/k**(-2/17))) assuming k is positive.
k**(-47416/40579)
Simplify (v*v**(1/40))/((v*(v/(v/(v**2*v))*v)/v)/v*v) assuming v is positive.
v**(-119/40)
Simplify y/(y*y/(y/y**(-5)))*y*y/((y*y*y/(y*y**(-2/9))*y)/y)*y*y*y**(3/4)*y**(-6) assuming y is positive.
y**(55/36)
Simplify (m*m/m**(-22))**(-47) assuming m is positive.
m**(-1128)
Simplify o**14*o*o*o*o**(1/2)*o*o*o*o assuming o is positive.
o**(43/2)
Simplify (u**0*u*u**(-1))/(u**(-6)/(u*u/(u*(u/u**(3/4)*u*u)/u*u*u)*u)) assuming u is positive.
u**(19/4)
Simplify ((v**5*v)/v*v**(-3))/(v/(v/(v/(v*v*v**(-1)*v))))**(-2) assuming v is positive.
1
Simplify a/(a**(-4)*a)*(a**(-7)/a)/a*a*a/a**(1/9)*a**(-3)/a assuming a is positive.
a**(-64/9)
Simplify (z**(-1/5)/(z*z**(-2/7)))/(z**0*z/(z/(z*(z*z**3)/z*z))) assuming z is positive.
z**(-207/35)
Simplify ((j/j**0)/(j*j*j/((j/j**8)/j)*j))/(j**(1/2)/(j*(j/(j/(j/j**(1/6))))/j)) assuming j is positive.
j**(-32/3)
Simplify (i/(i/(i/(((i**(-1/4)*i)/i)/i))))**(2/83) assuming i is positive.
i**(9/166)
Simplify ((q/((q*q/q**(-3/28))/q))/q)**(-10) assuming q is positive.
q**(155/14)
Simplify f/(f**(2/5)/f)*f**(-21/4) assuming f is positive.
f**(-73/20)
Simplify ((k*k/(k*k*k*k/(k/k**(-2))*k*k*k))/k)**(3/13)*k*k*k**(7/2)*k**(1/3) assuming k is positive.
k**(401/78)
Simplify (m/(m/m**(2/39)*m))/m**3 assuming m is positive.
m**(-154/39)
Simplify (y**(-2/3)/y*(y*y**(-5))/y*y)/(y*y**(-2/7))**(-44) assuming y is positive.
y**(541/21)
Simplify ((l**(-4)/l*l)**(30/7))**19 assuming l is positive.
l**(-2280/7)
Simplify (n**(1/2))**(-5/8)/(n/n**(1/4))**(-3/19) assuming n is positive.
n**(-59/304)
Simplify ((z/(((z**(1/2)/z)/z)/z))/z*z/z**10)/(((z*z**(-2/11)/z)/z)/(z*z/z**(-3)*z*z)) assuming z is positive.
z**(37/22)
Simplify (n/(n**(-1/4)*n*n)*n**(-2/3))/(n**(-2/5))**(-8) assuming n is positive.
n**(-277/60)
Simplify h*h**(4/7)*h*h*h/(h/(h/(h/((h**17/h*h)/h)))) assuming h is positive.
h**(137/7)
Simplify t**(-6/5)*t**(-10)*(t/(t**(2/3)/t)*t)/t**6 assuming t is positive.
t**(-223/15)
Simplify ((k/(k**(2/7)*k))**(-27))**(-3/7) assuming k is positive.
k**(-162/49)
Simplify (s**(-3)*s/(s/(s**0/s) | {
"pile_set_name": "DM Mathematics"
} |
Solve 2*j**3/3 - 7*j**2/3 + 8*j/3 - 1 = 0.
1, 3/2
Let -2*p**2 + 50*p + 988 = 0. Calculate p.
-13, 38
Factor 4*l**4 - 68*l**3 + 252*l**2 + 980*l - 5488.
4*(l - 7)**3*(l + 4)
Suppose 5*f**5 + 60*f**4 + 175*f**3 + 120*f**2 = 0. Calculate f.
-8, -3, -1, 0
Determine o, given that 3*o**2 - 81*o - 84 = 0.
-1, 28
What is r in -r**3/10 - 11*r**2/2 - 527*r/10 + 6727/10 = 0?
-31, 7
Factor 8*o**2/5 + 68*o + 168/5.
4*(o + 42)*(2*o + 1)/5
Solve 15*w**2/2 + 115*w + 75/2 = 0.
-15, -1/3
Factor -y**2/4 - 57*y - 3249.
-(y + 114)**2/4
Suppose -m**2/2 - 39*m - 1521/2 = 0. Calculate m.
-39
Factor -3*i**3/4 + 15*i**2/4 - 9*i/2.
-3*i*(i - 3)*(i - 2)/4
Factor -y**5/7 + 4*y**4/7 + 59*y**3/7 + 178*y**2/7 + 212*y/7 + 88/7.
-(y - 11)*(y + 1)*(y + 2)**3/7
Solve -v**2/3 - 89*v/3 - 88/3 = 0.
-88, -1
Factor -5*p**4 + 110*p**3 + 125*p**2 - 230*p.
-5*p*(p - 23)*(p - 1)*(p + 2)
Find i such that -i**3 - i**2 + i + 1 = 0.
-1, 1
Find t such that 2*t**3/5 - 132*t**2/5 - 1152*t/5 - 2368/5 = 0.
-4, 74
Factor -2*l**3/7 - 46*l**2/7 - 158*l/7 - 114/7.
-2*(l + 1)*(l + 3)*(l + 19)/7
Factor l**2 + 49*l + 220.
(l + 5)*(l + 44)
Find v such that -560*v**4 + 7880*v**3 - 28795*v**2 + 12955*v - 1560 = 0.
1/4, 39/7, 8
Solve -25*t**2 + 98*t + 8 = 0.
-2/25, 4
Determine d so that 3*d**4/7 - d**3/7 - 9*d**2/7 + 9*d/7 - 2/7 = 0.
-2, 1/3, 1
Factor -4*n**2 - 220*n + 1736.
-4*(n - 7)*(n + 62)
Factor 2*w**4 + 112*w**3 + 110*w**2.
2*w**2*(w + 1)*(w + 55)
Determine g so that -5*g**4 + 5*g**2 = 0.
-1, 0, 1
Determine c, given that c**4/4 - 13*c**3/4 - 75*c**2/4 + 109*c/4 + 85/2 = 0.
-5, -1, 2, 17
Factor -g**2/2 + 422*g - 89042.
-(g - 422)**2/2
Factor -3*z**3/4 - 15*z**2/2 + 18*z.
-3*z*(z - 2)*(z + 12)/4
Solve 4*u**4 + 52*u**3 + 48*u**2 = 0 for u.
-12, -1, 0
Determine n so that -4*n**2/7 - 20*n/7 - 16/7 = 0.
-4, -1
Find i such that -8*i**4/3 + 262*i**3/3 - 2438*i**2/3 + 2624*i - 1896 = 0.
1, 6, 79/4
Factor -5*s**4 + 95*s**3 + 125*s**2 - 515*s + 300.
-5*(s - 20)*(s - 1)**2*(s + 3)
Solve o**3/6 - 11*o**2/2 + 119*o/6 - 29/2 = 0.
1, 3, 29
Factor -35*h**2/6 + 125*h/6 + 10.
-5*(h - 4)*(7*h + 3)/6
Find t, given that -2*t**2 + 2512*t - 788768 = 0.
628
Factor 2*l**5/9 - 116*l**4/9 + 1562*l**3/9 + 1160*l**2/3 + 200*l.
2*l*(l - 30)**2*(l + 1)**2/9
Solve -2312*i**2 - 408*i - 18 = 0.
-3/34
Factor -2*b**2 - 132*b.
-2*b*(b + 66)
Solve -3*v**3/7 - 60*v**2/7 + 993*v/7 - 930/7 = 0 for v.
-31, 1, 10
Determine z, given that 2*z**5/9 - 10*z**4/9 - 2*z**3/9 + 10*z**2/9 = 0.
-1, 0, 1, 5
Determine x so that -x**2/3 - 5*x/3 + 14/3 = 0.
-7, 2
Factor 7*a**3 + 20*a**2 - 9*a - 18.
(a - 1)*(a + 3)*(7*a + 6)
Suppose 3*b**2 - 45*b + 78 = 0. Calculate b.
2, 13
Solve 4*r**4 - 128*r**3 + 1320*r**2 - 4576*r + 3380 = 0.
1, 5, 13
Find f, given that -5*f**4 + 215*f**3 + 1200*f**2 = 0.
-5, 0, 48
Solve -2*f**2 + 6*f - 4 = 0 for f.
1, 2
Factor -m**2/5 - m/5 + 12/5.
-(m - 3)*(m + 4)/5
Find v, given that 22*v**4/9 - 2*v**3 - 16*v**2/3 - 8*v/9 = 0.
-1, -2/11, 0, 2
Determine z so that 2*z**4/13 + 266*z**3/13 + 11062*z**2/13 + 133870*z/13 - 145200/13 = 0.
-55, -24, 1
Determine r so that 4*r**4/17 - 42*r**3/17 + 132*r**2/17 - 152*r/17 + 48/17 = 0.
1/2, 2, 6
Factor -2*c**4/3 + 4*c**2/3 - 2/3.
-2*(c - 1)**2*(c + 1)**2/3
Factor 60*o**2 + 136*o.
4*o*(15*o + 34)
Solve 3*k**4 + 21*k**3 - 219*k**2 + 195*k = 0.
-13, 0, 1, 5
Factor 2*n**2/7 - 576*n/7 + 41472/7.
2*(n - 144)**2/7
Factor 2*j**2/13 + 744*j/13 - 746/13.
2*(j - 1)*(j + 373)/13
Determine r, given that 5*r**5/3 - 17*r**4/3 - 13*r**3 + 133*r**2/3 - 106*r/3 + 8 = 0.
-3, 2/5, 1, 4
What is j in -2*j**2 + 50 = 0?
-5, 5
Factor -2*t**3 + 6*t**2 - 4*t.
-2*t*(t - 2)*(t - 1)
Factor -n**3/5 + 47*n**2/5 - 115*n + 529/5.
-(n - 23)**2*(n - 1)/5
Let -10*g**5/17 + 62*g**4/17 - 52*g**3/17 - 52*g**2/17 + 62*g/17 - 10/17 = 0. Calculate g.
-1, 1/5, 1, 5
Factor -3*d**4 - 12*d**3 + 33*d**2 - 18*d.
-3*d*(d - 1)**2*(d + 6)
Let 4*g**5/3 - 16*g**4/3 + 16*g**3/3 + 8*g**2/3 - 20*g/3 + 8/3 = 0. What is g?
-1, 1, 2
Factor 3*p**2 - 177*p.
3*p*(p - 59)
Suppose 5*b**4 + 50*b**3 + 65*b**2 - 300*b + 180 = 0. What is b?
-6, 1
Factor 9248*c**5/3 + 9520*c**4/3 + 274*c**3/3 + 2*c**2/3.
2*c**2*(c + 1)*(68*c + 1)**2/3
Let 21*v**3 - 30*v**2 - 33*v + 18 = 0. What is v?
-1, 3/7, 2
Determine g, given that -2*g**4/7 - 19*g**3/7 - 48*g**2/7 - 11*g/7 + 20/7 = 0.
-5, -4, -1, 1/2
Find j, given that j**4 - j**3 - 12*j**2 = 0.
-3, 0, 4
Determine m, given that 2*m**5 - 17*m**4/2 + 12*m**3 - 13*m**2/2 + m = 0.
0, 1/4, 1, 2
Solve g**5 + 51*g**4/7 - 16*g**3 - 36*g**2/7 = 0.
-9, -2/7, 0, 2
Suppose -d**3/4 - 3*d**2/4 + 9*d/4 - 5/4 = 0. Calculate d.
-5, 1
Let -2*s**4/3 + 50*s**3 + 308*s**2/3 = 0. What is s?
-2, 0, 77
Factor 3*m**3/4 - 9*m**2 + 15*m.
3*m*(m - 10)*(m - 2)/4
Determine r, given that -3*r**4/4 - 33*r**3/4 + 3*r**2/4 + 33*r/4 = 0.
-11, -1, 0, 1
Factor -2*l**2/11 + 8*l - 88.
-2*(l - 22)**2/11
Let x**4/4 - 3*x**3/4 - x**2/4 + 3*x/4 = 0. Calculate x.
-1, 0, 1, 3
Solve -2*r**4 + 42*r**3 - 108*r**2 = 0 for r.
0, 3, 18
Let -2*j**4/3 - 95*j**3/6 + 14*j**2/3 + 95*j/6 - 4 = 0. Calculate j.
-24, -1, 1/4, 1
Factor 7*l**3 - 10*l**2 - 29*l - 12.
(l - 3)*(l + 1)*(7*l + 4)
Let -4*l**3 + 204*l**2 - 936*l + 736 = 0. What is l?
1, 4, 46
Factor -n**3/6 - 135*n**2/2 - 18225*n/2 - 820125/2.
-(n + 135)**3/6
What is y in -4*y**2 = 0?
0
Let -2*h**3 - 2*h**2 + 32*h + 32 = 0. Calculate h.
-4, -1, 4
Factor -5*p**2 - 110*p + 3315.
-5*(p - 17)*(p + 39)
Factor -a**2/3 - 505*a + 3034/3.
-(a - 2)*(a + 1517)/3
Factor -w**2/3 + 402*w - 121203.
-(w - 603)**2/3
Determine r, given that 3*r**4 + 237*r**3 + 4554*r**2 - 5280*r - 9600 = 0.
-40, -1, 2
Determine z, given that z**4/6 + z**3 + 11*z**2/6 + z = 0.
-3, -2, -1, 0
Let -5*p**3 + 4595*p**2 + 13820*p + 9220 = 0. Calculate p.
-2, -1, 922
Suppose 2*v**2/7 - 3296*v/7 + 1357952/7 = 0. Calculate v.
824
Factor 5*o**3 - 10*o**2.
5*o**2*(o - 2)
Suppose 5*p**2 - 3260*p + 531380 = 0. What is p?
326
Suppose 32*k**4/3 + 1664*k**3 + 4966*k**2/3 + 310*k = 0. What is k?
-155, -3/4, -1/4, 0
Factor -4*m**4 + 16*m**3 + 4*m**2 - 16*m.
-4*m*(m - 4)*(m - 1)*(m + 1)
Factor -5*q**3 + 70*q**2 - 220*q + 200.
-5*(q - 10)*(q - 2)**2
Find c, given that -2*c**5/3 + 62*c**4 - 364*c**3/3 - 4*c**2/3 + 122*c - 182/3 = 0.
-1, 1, 91
Suppose l**3/4 + 25*l**2/4 - 53*l/4 + 27/4 = 0. Calculate l.
-27, 1
Find l, given that 24*l**2 + 572*l + 460 = 0.
-23, -5/6
Determine n so that n**2/4 + 192*n + 36864 = 0.
-384
Determine a so that -5*a**3 + 510*a**2 - 1005*a + 500 = 0.
1, 100
What is r in 3*r**2/2 + 45*r/2 - 114 = 0?
-19, 4
Factor -3*z**2 - 663*z + 666.
-3*(z - 1)*(z + 222)
Find z, given that -5*z**4/3 + 5*z**3/3 + 5*z**2/3 - 5*z/3 = 0.
-1, 0, 1
Factor -4*t**4 + 72*t**3 - 324*t**2 + 448*t - 192.
-4*(t - 12)*(t - 4)*(t - 1)**2
Determine n so that 4*n**3 - 112*n**2 + 784*n = 0.
0, 14
Suppose -g**3/10 + g**2 + 3*g/10 - 54/5 = 0. Calculate g.
-3, 4, 9
Solve 2*z**4 + 6*z**3 - 30*z**2 + 34*z - 12 = 0.
-6, 1
Suppose -2*j**2/5 - 12*j/5 - 16/5 = 0. What is j?
-4, -2
Find y, given that y**5/6 - 25*y**4/6 - 14*y**3/3 + 26*y**2/3 = 0.
-2, 0, 1, 26
Factor 2*w**3/13 + 16*w**2/13 - 150*w/13 + 252/13.
2*(w - 3)**2*(w + 14)/13
Factor 21*l**3/8 - 771*l**2/8 + 1275*l/4 + 99.
3*(l - 33)*(l - 4)*(7*l + 2)/8
Let 2*a**2/3 - 734*a/3 + 1460/3 = 0. Calculate a.
2, 365
Factor -2*n**3/7 + 6*n/7 + 4/7.
-2*(n - 2)*(n + 1)**2/7
What is j in 14*j**3 + 872*j**2 + 2726*j + 708 = 0?
-59, -3, -2/7
Factor 2*b**2 - 270*b + 268.
2*(b - 134)*(b - 1)
Solve -2*v**4 - 4450*v**3 - 2477536*v**2 - 2473088*v = 0 for v.
-1112, -1, 0
Determine o so that -o**2 + 1 = 0.
-1, 1
Factor 3*g**4 + 24*g**3 + 18*g**2 - 24*g - 21.
3*(g - 1)*(g + 1)**2*(g + 7)
Suppose 3*v**3 + 6*v**2 + 3*v = 0. What is v?
-1, 0
Let 98*h**5/11 - 2114*h**4/11 + 12944*h**3/11 - 16688*h**2/11 + 6560*h/11 - 800/11 = 0. Calculate h.
2/7, 1, 10
Let 3*u**4/4 - 39*u**3/4 + 105*u**2/4 + 39*u/4 - 27 = 0. Calculate u.
-1, 1, 4, 9
Determine x, given that -2*x**5 + 12*x**4 - 2*x**3 - 48*x**2 - 32*x = 0.
-1, 0, 4
Factor -2*w**3/9 - 418*w**2/9 + 140*w/3.
-2*w*(w - 1)*(w + 210)/9
Factor 2*l**4/21 + 32*l**3/21 + 128*l**2/21.
2*l**2*(l + 8)**2/21
Factor -z**3/3 - 20*z**2/3 - 64*z/3.
-z*(z + 4)*(z + 16)/3
Factor -6*u**5 - 170*u**4 - 56*u**3.
-2*u**3*(u + 28)*(3*u + 1)
Solve -2*d**5 - 22*d**4 + 2*d**3 + 22*d**2 = 0 for d.
-11, -1, 0, 1
Factor -3*t**4 + 27*t**2 - 12*t - 36 | {
"pile_set_name": "DM Mathematics"
} |
ppose 3*u = 2*h + 10 + 1, 2*u - 5*h = 0. Let x be (3/u)/((-8)/(-40)). Solve -x - 1 = -4*z for z.
1
Let c(i) = -3*i. Let u be c(-1). Let t = u + -3. Suppose g - 4*g = t. Solve 0 = -g*q + q - 1 for q.
1
Suppose 0 = -2*z - 2 - 6. Let g = 1 + z. Let o be 2 + g + (5 - 2). Solve o*q - 6*q = -4 for q.
1
Let p = 11 + -5. Solve -2*r + p = r for r.
2
Suppose -8*u + 3*u = 0. Let o = u + 4. Solve o*n - 2*n + 2 = 0 for n.
-1
Let y(d) = -d**3 + 4*d**2 - d - 2. Suppose -3*x = 2*x - 15. Let q be y(x). Solve 2*r - q + 0 = 0 for r.
2
Let j = 21 + -18. Solve 0 = -j*c + 5*c for c.
0
Let r = -4 + 10. Let c be (-4)/(-6)*(0 - -3). Suppose -c*v - g + 6 = 2*v, v = -4*g - r. Solve v*n - 2 = 6 for n.
4
Let z(n) = n + 20. Let h be z(-15). Solve -h*y + 6 = 21 for y.
-3
Let s(a) = a + 8. Let d(i) = i + 2. Let p be d(0). Let f be 9/p*4/(-3). Let q be s(f). Solve q*o = o for o.
0
Suppose h + 21 = 3*m, 2*m + 3*h = 6*m - 33. Solve -4*r + m*r = 10 for r.
5
Let f(x) = -x - 3. Let i be f(-6). Let q(d) = d - 1 + 2*d**3 - 4*d**3 + 3*d**3. Let h be q(1). Solve i*u + 11 = -h for u.
-4
Let f = 9 + -6. Suppose -16 = 4*r, -r + 6*r = -4*u - 188. Let c be (f/(-2))/(3/u). Solve 0 = 5*s + c - 1 for s.
-4
Suppose -20 = -q + 5*y + 9, 25 = -5*y. Let a = q - 2. Solve 5*d = a*d for d.
0
Let j be 11 + 9/(-7 + 4). Let k be 13 + -8 - 6/(-2). Solve -4*g = j + k for g.
-4
Suppose -60*j = -63*j + 12. Solve -n = j*n for n.
0
Let r = -10 - -10. Solve -v - 3*v = r for v.
0
Let l(k) = k**3 + 7*k**2 - 7*k - 4. Let o be l(-8). Let u be (8/o)/((-2)/9). Solve u*s = 9 - 0 for s.
3
Let w(f) = -f**2 - 7*f - 6. Suppose -3*y - 4*j - 7 = 27, -y - 4*j = 22. Let u be w(y). Solve u = 6*v - v + 15 for v.
-3
Let k be 5 - (-1 - -1 - (-33)/(-11)). Solve 0 = -4*b - 0*b - k for b.
-2
Suppose -4*t - 4*x - 20 = 0, t + 5 = 2*t - x. Suppose -5*u = -4*b - 120, -5*u + 2*b - 27 + 137 = t. Solve 3*g = -2*g - u for g.
-4
Suppose j - 30 = 5*o, 1 = 5*o + 26. Suppose y = -2 + j. Solve 0 = -4*w + y*w for w.
0
Let d(r) be the first derivative of -r**3/3 - 5*r**2/2 + 4*r - 1. Let v be d(-5). Suppose v*q - q = 9. Solve q*g = -g for g.
0
Let i(m) = m**2 - 3*m - 5. Let k be i(4). Let r = k - -3. Suppose v - 1 = r. Solve 0*h = v*h - 15 for h.
5
Suppose 0 = y - 3 + 5. Let x(m) = 2*m - 2. Let i be x(2). Let a be i/1 - 0/y. Solve -a*l + 3*l = 0 for l.
0
Let d(s) = 9*s**2 - s. Let o be d(1). Let w = -9 - -12. Suppose w*i - 11 = -5. Solve 0 = 5*v + i + o for v.
-2
Let a(t) = -t**3 + 6*t**2 + 7*t - 6. Let x be a(7). Let d be (-8)/x*(-18)/4. Let q be 2/10 - d/(-30). Solve 0*z + 2*z = q for z.
0
Let q(p) = p**2 + p + 1. Let m(l) = -l. Let g be m(-3). Let k be 2 - (2 - -10)/g. Let x be q(k). Solve -11 + x = -4*v for v.
2
Let u = -4 - -4. Solve u = -4*c - c for c.
0
Suppose -14*g + 15*g = 0. Solve -2*o + 15 - 5 = g for o.
5
Let c = -2 - -7. Let x be -2*(4 + 44/(-8)). Suppose -c*v = 0, -3*v = -x*g - 4*v + 21. Solve -4*p + 1 + g = 0 for p.
2
Suppose -g - 12 = 3*g. Let n be 0 - -2 - (g + 4). Let z be (-2 - -3)/(n/4). Solve -z = 5*w - 14 for w.
2
Let w be 3 + (0/(-2) - -1). Suppose 3 = 3*d + 3*o, -2*d + 4*o + 0*o - w = 0. Suppose g + 2 - 4 = d. Solve 5 = g*p - 5 for p.
5
Suppose 0 = -2*v + 5 + 7. Suppose -1 + v = 5*w. Solve -f = -0*f - w for f.
1
Suppose 2*i = 5*i - 6. Suppose -5*h = i*n - 16, 2*h - 4*n = n + 18. Let b be ((-6)/(-4))/((-1)/(-2)). Solve -h*r + 3*r = -b for r.
3
Let o = 1 + 1. Let j be o*2*4/8. Solve -h = j - 7 for h.
5
Let i be ((-1)/(-2))/((-2)/(-72)). Suppose -r + 5 = 3. Let w be r/4 - i/(-12). Solve w*j - 3*j = -1 for j.
1
Let i(t) = 3*t. Let v be i(-2). Let z be (4/(-6))/(v/27). Solve -w = z*w for w.
0
Let c(x) = x**3 - 4*x**2 + x. Let p be c(4). Let f = 7 - p. Suppose 8*y = f*y. Solve -3*w = -y*w + 15 for w.
-5
Let p(m) = -m**2 - 14*m - 6. Let c be p(-10). Let h = -19 + c. Solve -h = -3*f - 0 for f.
5
Suppose -c + 6*c = 185. Let m = 36 - 24. Solve -5*q - m = -c for q.
5
Let f be 3 + (-2 - -5) + 0. Solve -4*b + 2*b - f = 0 for b.
-3
Let c be ((-3)/6)/((-1)/44). Let s be c/4 + 6/(-12). Suppose -a + s = -2. Solve 2 = t + a for t.
-5
Let l = -4 + 28. Suppose -h + l = 2*n, n - 4 = -3*h - 2. Let k = -12 - -14. Solve -k = -3*w - n for w.
-4
Let q(v) = v**3 - 7*v**2 + 7*v + 1. Let l be q(6). Suppose 0 = -3*m + 19 + 2. Let g = m - l. Solve g = -3*o + 15 - 0 for o.
5
Let r = 22 + -12. Let h be r/20 + 9/2. Suppose 5*g + 5*b = -6 - 19, -3*g - b - h = 0. Solve g*l = -l + 4 for l.
4
Suppose p = 3*u + 2, 0 = -3*p + 13 + 2. Let y = 4 - u. Solve -i - 2*i = -y for i.
1
Suppose 4*z - 2*g + 2 = 0, -20 = 4*z - 5*g - 3. Solve -v = v - z for v.
1
Suppose -4*s - 36 = -13*s. Solve s*t = -t for t.
0
Let u be 4/(-10) - (-17)/5. Suppose -u*t + 18 + 27 = 0. Solve 5*i + t = 2*i for i.
-5
Suppose -7 + 3 = -3*j + 2*v, j - 20 = -4*v. Suppose 3*h - 2*h - 3*r = 12, 18 = j*h - 2*r. Solve 0 = -b + 5 - h for b.
2
Let i be 2/(((-16)/6)/4). Let l be ((-1)/1)/(1/i). Solve g + 2 = -l for g.
-5
Let s = 16 - 5. Suppose 1 = 3*h - s. Solve 0 = h*c - 1 - 3 for c.
1
Suppose 0 = 4*g - 0*f - 3*f - 87, 0 = 3*g + 4*f - 59. Suppose -4*s + g = -7. Solve s + 3 = 2*n for n.
5
Suppose 2*w + n + 1 = 13, 0 = 3*n - 12. Solve -w*l - l = 0 for l.
0
Let p(m) = -m**3 + 10*m**2 + 12*m + 1. Let w be p(11). Solve -u = -4*u - w for u.
-4
Let n(p) = p**2 + 2*p. Let q be 8/6*3/(-2). Let b be n(q). Solve b*i = 2*i for i.
0
Let c = 36 - 33. Solve 0 = -c*x - 8 + 2 for x.
-2
Let v = 4 + -6. Let n = v - -6. Suppose 4*h - a = 6, -5*h + a + 2 = -3*a. Solve -h = 2*p - n for p.
1
Let t(p) = -p**3 + 8*p**2 - 6*p - 10. Let z be t(7). Let q = 13 + z. Solve q = -5*a + 3*a for a.
-5
Let i(s) = s**2 + 14*s - 12. Let a be i(-15). Solve 0 = -a*p - 0*p - 3 for p.
-1
Suppose -4*q + 40 = -2*q. Let d(s) be the third derivative of s**5/60 + s**4/8 - 3*s**2. Let h be d(-4). Solve 0*i + q = -h*i for i.
-5
Let x be 50/8 + (-2)/8. Suppose h + 3*c = x, -5*h + 4*c - 10 = -c. Solve h*b = b + 1 for b.
-1
Suppose 0 = -3*l + l + 2. Let m be (2/(-4))/(l/(-6)). Solve -5 = m*s + 4 for s.
-3
Let o(i) = -i**2 + 11*i + 5. Let f be o(11). Solve -1 = 4*j - f for j.
1
Suppose 3*c = 29 + 31. Suppose -5*u + 4*u + 4 = 0, -5*u = -4*n - c. Solve n = -0*x + 3*x for x.
0
Suppose -9*c - 40 + 49 = 0. Solve 2 + c = -r for r.
-3
Let m be (-70)/9 - 16/72. Let n be (-18)/m - (-9)/12. Solve 10 = n*z - z for z.
5
Let u be 0/(-7 + 4 + 1). Suppose -4*d + 2*d + 1 = q, -4*d - 16 = -4*q. Solve u = -q*i - 9 - 0 for i.
-3
Let f = -9 + 14. Suppose 0 = -3*c + 7 + f. Solve 0*x = c*x - 8 for x.
2
Suppose 0 = 13*m - 7 - 32. Solve -2*c + m*c = 4 for c.
4
Let j be (3/6)/((-2)/(-8)). Solve o = -j*o - 12 for o.
-4
Let m(b) = 3*b - 6. Let k be m(3). Suppose k*p - 4 = 2. Solve 4 = p*g - 3*g for g.
-4
Let s = -12 + 11. Let h(w) = 3*w**2. Let q be h(s). Solve l - q = -0 for l.
3
Suppose -2*m + 3*m - 2 = 0. Suppose -1 = m*i - 7. Solve -4*f + i = -1 for f.
1
Suppose 15 = -5*f - 85. Let m = -17 - f. Solve -m*o = -4*o - 2 for o.
-2
Let b be 2/3 + (-70)/(-21). Solve b*d - 1 = 3 for d.
1
Suppose 0 = -4*h + 3*h + 5*n - 5, 5*n = 5. Solve -2*s - 7 - 3 = h for s.
-5
Let x = -16 + 19. Solve 0*o - x = 3*o for o.
-1
Let g(b) = b + 10. Let f be g(-5). Suppose -15 = -3*n - f*s + 2*s, 0 = -4*n + 4*s + 12. Solve 0 = -n*k + 1 + 19 for k.
5
Let i = -84 - -42. Let b be (-12)/i - 2/7. Solve 3*z - 7 + 4 = b for z.
1
Suppose -3*x = -0*x. Suppose -2*f + 28 = -3*h, f - 6*f - h + 36 = x. Suppose -4 = p - f. Solve p*l - 16 = -0*l for l.
4
Suppose c + 7 - 38 = 0. Suppose 5*k + 24 = -r + 3, 0 = 4*r - 3*k - c. Solve -22 = -r*w - 2 for w.
5
Let l(u) = -u**2 - 9*u - 7. Let d be l(-7). Suppose -21 = -2*j + 5*i + d, -j - 12 = 4*i. Suppose -3*t = 5*s - 9, 0 = j*s - s + 3*t - 9. Solve s - 6 = 3*q for q.
-2
Suppose 33*x + 6 = 35*x. Solve -x*j = -0 + 9 for j.
-3
Let z = 0 - 0. Suppose 4*t = -z*t. Suppose 3*v + 2*s - 3*s = 6, 4*v - 8 = -4*s. Solve d + v = -t*d for d.
-2
Let a = 44 + -21. Suppose -a = -j + 4*n, j + 1 - 29 = 5*n. Solve j = t - 2 for t.
5
Suppose 3*o - 4 = -1, 5*o = -4*m + 13. Let w be (-194)/(-6) + 1/(-3). Suppose -w + m = -2*f. Solve j + 4*j = -f for j.
-3
Let g be ((-1)/(-1))/(3/6). Suppose -4*p + 48 = -4*q, -g*q + 3 = -p + 12. Solve 0 = -3*z - 0 + p for z.
5
Suppose r - 4*r = 0. Let n be 24 - (1 + -1 + 1). Suppose -2*q = -9 - 1, n = 3*u + q. Solve -5*h + 4 + u = r for h.
2
Suppose 0 = 4*j - 0*j | {
"pile_set_name": "DM Mathematics"
} |
29 (d) 0 (e) -11 (f) 0.3
b
Which is the biggest value? (a) 6/1171 (b) 0 (c) -3/2 (d) 5
d
What is the biggest value in 1.4, -7921259, -3?
1.4
Which is the second smallest value? (a) -0.5925 (b) 13 (c) 328/5
b
Which is the second biggest value? (a) 6/11 (b) -3 (c) 476 (d) 1.057 (e) 3
e
Which is the fourth biggest value? (a) 2/3 (b) 65 (c) -2 (d) 94 (e) 4 (f) 2
f
What is the fourth biggest value in -4, -16976, -3.7, -0.26?
-16976
What is the smallest value in -2559, -0.1, -1, 1/73?
-2559
Which is the third biggest value? (a) 2 (b) -437/4 (c) 2/9 (d) -0.1 (e) -2/75 (f) -5
e
What is the smallest value in -152/1153, 13, -2/15?
-2/15
Which is the smallest value? (a) 300182 (b) 8 (c) 2/7
c
Which is the fourth biggest value? (a) -3345 (b) -0.02 (c) -0.3 (d) 3/7 (e) 0.2 (f) 0.4
b
What is the fourth smallest value in -4, -2, 0, 401628?
401628
Which is the third smallest value? (a) -3315 (b) -2 (c) 0 (d) -9 (e) 4
b
Which is the seventh smallest value? (a) -2/17 (b) -9 (c) 12.5 (d) 0.16 (e) -3 (f) -1 (g) -1/3
c
Which is the seventh biggest value? (a) 20.8 (b) -5 (c) 1/4 (d) 0.3 (e) 14/113 (f) -0.2 (g) 1
b
What is the second biggest value in 2, -15/31, 0.4, -19/5, -3/164, -0.4?
0.4
What is the third biggest value in 132990, 23, -0.5, -0.2?
-0.2
What is the third smallest value in -2/3, 2, -7245988?
2
Which is the seventh smallest value? (a) -1 (b) -2.353 (c) -0.3 (d) 1 (e) -2 (f) 0.46 (g) 3
g
Which is the fourth smallest value? (a) -4 (b) 4/5 (c) -3 (d) -1264 (e) 14
b
Which is the second biggest value? (a) -0.03 (b) 33 (c) 4 (d) -62 (e) -0.4 (f) 0.1
c
Which is the fifth smallest value? (a) 0.02 (b) -0.8 (c) -0.3 (d) -112 (e) -0.008
a
What is the second smallest value in -2, 5, -6956, -7/9, 3/11, 2/11?
-2
What is the smallest value in 15, 33, 2/7, -23670?
-23670
Which is the sixth smallest value? (a) 5/2 (b) -5 (c) 20/3 (d) 35.66 (e) -4 (f) 2
d
What is the third smallest value in 7, -221/7, 4, 2/43, 5, 1?
1
What is the fifth biggest value in -1/8, 0.2, 51, 73, 5?
-1/8
What is the smallest value in -2, -8, -0.0467, 0, 136, 0.5, 4?
-8
What is the fourth biggest value in -2, 19391, -0.2, -5, -19?
-5
Which is the fifth smallest value? (a) 0.06 (b) -23 (c) -4 (d) 0.02 (e) -2/93
a
Which is the fourth biggest value? (a) -1/463 (b) 5096 (c) -4 (d) -2/9
c
Which is the second smallest value? (a) 0.001 (b) -61 (c) -240
b
Which is the biggest value? (a) 401 (b) 0.011 (c) -2 (d) -717
a
What is the biggest value in -5, 1/2, 36, 0, 88, -0.3?
88
What is the fourth smallest value in -0.3, 1/6, 5, -0.2, -0.488, -2/7, 0?
-0.2
What is the fourth smallest value in 5, -4/7, 263, -2/23, -1073?
5
Which is the third biggest value? (a) 548 (b) 0.47 (c) -2 (d) 3/8 (e) -0.5
d
Which is the third smallest value? (a) -3/4 (b) 7/31723 (c) 2 (d) -2/11 (e) -4
d
What is the third smallest value in -2/13, 670, -2, 30?
30
Which is the sixth smallest value? (a) -25 (b) 2 (c) -2/39 (d) -74 (e) 0.4 (f) 35
f
Which is the biggest value? (a) 0.11 (b) -0.032 (c) -3 (d) -0.3 (e) 1.5 (f) -2088
e
Which is the third biggest value? (a) 2 (b) -31 (c) -19 (d) 4 (e) 0 (f) 213 (g) -2/11
a
Which is the biggest value? (a) -11 (b) 3010494 (c) -0.4
b
Which is the fifth biggest value? (a) -2/33 (b) -2353 (c) -0.01 (d) 1/3 (e) -4/3
b
Which is the biggest value? (a) 67 (b) -10 (c) 0.9 (d) 2 (e) 2/5 (f) 12 (g) -2
a
Which is the third smallest value? (a) 1/3 (b) 0.4 (c) 1/6 (d) 0.1 (e) -16723258
c
Which is the third biggest value? (a) 1/10 (b) 158779/9 (c) 9
a
What is the biggest value in 133, 346, -10?
346
Which is the third biggest value? (a) 5 (b) -1.58 (c) 119/4
b
What is the second smallest value in 8, 0.5, -2/9, 3.294, 0.3, -77?
-2/9
Which is the smallest value? (a) 1/75 (b) -2/9 (c) -120 (d) 0.2 (e) 0.3 (f) 0
c
Which is the fifth smallest value? (a) 4 (b) -0.3 (c) 0.4 (d) -0.12 (e) 27.08
e
What is the fifth smallest value in 0.0296, 2/9, 7, 4/3, -1/2, -1.1, -2?
2/9
What is the biggest value in 0.035, -0.13, 0.02, 231/5, -0.1?
231/5
Which is the third smallest value? (a) -1/363 (b) 2/1077 (c) -2/9 (d) -0.2
a
What is the biggest value in 918, -4/3, -512.57?
918
What is the second smallest value in -2/399, -1, 22?
-2/399
What is the third biggest value in -1/6, -1/5, 0, 5, -87, 37/11?
0
What is the third biggest value in -1, 27287, 8245?
-1
Which is the smallest value? (a) 0 (b) -0.1 (c) -12410 (d) 1 (e) -5 (f) 2/7 (g) -3/5
c
Which is the second smallest value? (a) 0.7 (b) 4 (c) -0.2 (d) 3/13 (e) 16.48 (f) -5 (g) -10
f
What is the smallest value in -54015, 0.5, 8?
-54015
What is the second smallest value in -229, 0.5, 0, -3/2, -3/4, 42?
-3/2
Which is the third smallest value? (a) 1663/8 (b) 7/9 (c) 5
a
Which is the seventh smallest value? (a) 471 (b) 5 (c) 1.31 (d) -5 (e) 1 (f) -2/9 (g) -65
a
Which is the second biggest value? (a) -271 (b) 3149 (c) -24.4
c
What is the second biggest value in -2, 18789/2, -4576?
-2
What is the fourth biggest value in 167, -5, -9, -0.4?
-9
What is the smallest value in -588796993, 2/17, 2/9?
-588796993
Which is the seventh smallest value? (a) -0.02 (b) 5 (c) -2/9 (d) 2/5 (e) -9 (f) -0.0525 (g) -1/5
b
Which is the second biggest value? (a) -0.0679977 (b) 1/13 (c) 7 (d) 0.5
d
What is the fourth biggest value in 6.3, 2/9, -1/2, 5, -1.951?
-1/2
What is the sixth smallest value in 0.06, -51, -0.1, 16, 0.4, 2, -2?
2
What is the fourth biggest value in -0.0502, 1/5, 13, 3020?
-0.0502
What is the second biggest value in 0.002, 42, 0, 2/7, 14, -2/5?
14
Which is the smallest value? (a) 1 (b) 3/7 (c) 0.3 (d) -30.7 (e) -2 (f) 2
d
Which is the third smallest value? (a) 3/5 (b) 1 (c) -1/5 (d) 0.02 (e) -230298
d
Which is the third smallest value? (a) -3 (b) -447 (c) 0.28 (d) -2/11
d
What is the second biggest value in -2/397, -1/3, 1482, 0, 0.2?
0.2
What is the second biggest value in 13, -1, -4/7, -524269?
-4/7
What is the second biggest value in -2/7, -3, -94754, 0, 9?
0
What is the second biggest value in -21.4, 300, -97?
-21.4
What is the third biggest value in -0.4, 1/11, 274, -1161, 5?
1/11
Which is the second biggest value? (a) -0.2 (b) 4/134929 (c) -3
a
Which is the second smallest value? (a) -2.2 (b) -1 (c) 1304 (d) -0.4 (e) -23
a
What is the fifth biggest value in 5, -3, 4.8, -2/7, -1/8, -0.1, -5?
-2/7
Which is the second biggest value? (a) 515/211 (b) 0 (c) 204
a
What is the fourth biggest value in -5, -17390, -2/17, 1.3?
-17390
What is the third biggest value in 1, -17287, -171?
-17287
What is the third biggest value in 1/11, -1, 0.1, 10, -2/57, 8, -0.3?
0.1
Which is the second biggest value? (a) 3 (b) 0.047 (c) -0.3 (d) 1/4 (e) 73 (f) -0.4
a
What is the third biggest value in 0.3, -0.1, 0.6, -2/27, -696, 6/5?
0.3
What is the biggest value in -0.51, -3/8, 1/117?
1/117
What is the fourth smallest value in -3/2, -166, 3, -26204, -1/3?
-1/3
Which is the third biggest value? (a) 5.8 (b) 0.2 (c) -25/418
c
Which is the second smallest value? (a) 21200 (b) 4/17 (c) -90
b
Which is the fifth biggest value? (a) 1/12 (b) 8/7 (c) 0.2 (d) -472 (e) -0.8 (f) 0.068
e
Which is the smallest value? (a) 2869 (b) 0.4 (c) -6 (d) 0 (e) -392/5
e
What is the fourth smallest value in 52, 63, 3, 1, 12?
52
Which is the third smallest value? (a) -1 (b) -1228/7 (c) -0.002244
c
What is the second smallest value in -69/5, 22, -2174?
-69/5
What is the third smallest value in 76, -1679, -0.3, -3/4, -59, 2/3?
-3/4
What is the fifth smallest value in 1, -3, -1, 1/7, -0.3, 1.167?
1
What is the second biggest value in 0.4, -7, 0.42356?
0.4
Which is the fourth biggest value? (a) -0.926 (b) 21 (c) -2/13 (d) -1 (e) 5 (f) 0.5
c
What is the second smallest value in 4/3, 28, 5197, -0.5, 0.06, 2?
0.06
What is the fifth biggest value in 5, 2.8072, -2, 0.2, -0.2, 3?
-0.2
Which is the second biggest value? (a) 5273 (b) 0 (c) -29 (d) -2
b
Which is the third biggest value? (a) 397142 (b) 3 (c) 0.4 (d) 2
d
What is the fifth biggest value in -13, 2, -607, 4, -3, -17?
-17
What is the fourth biggest value in 146, 4, -1006, 1, -2?
-2
What is the fourth biggest value | {
"pile_set_name": "DM Mathematics"
} |
ppose 0 = -q - 2*d + 12, 0 = -q - h*d - 4 + 16. Suppose -q*n + 297 = -1863. Is n a multiple of 20?
True
Let v(b) be the second derivative of -8*b**3/3 + 373*b**2/2 - 33*b. Is 48 a factor of v(0)?
False
Let f = 0 + 8. Let q(s) = -10*s + 126. Is 14 a factor of q(f)?
False
Let n(l) = l**3 - 13*l**2 + 25*l + 15. Let j be n(7). Let x = -66 - j. Is 38 a factor of x?
True
Let m = -134 - -92. Let l = m - -44. Suppose -146 = l*f - 4*f. Does 10 divide f?
False
Let g(o) = o**2 - 12*o - 20. Let u be g(12). Is 7 a factor of 15/u + (-1275)/(-20)?
True
Let o be (-1)/((4/(-12))/(2/3)). Suppose 1062 = 3*i - o*h, 3*i - 3*h - 1436 = -374. Is 6 a factor of i?
True
Suppose 2*u - 169*q = -166*q + 2795, 3*u - 4155 = -3*q. Is u a multiple of 139?
True
Suppose -2140753 - 1443107 = -147*d. Does 230 divide d?
True
Suppose 0 = -5*r, -r - 3*r = 3*z + 780. Let u = z - -512. Is 14 a factor of u?
True
Let o(b) = -b - 7. Let r be o(-21). Suppose -r*z - 3360 = -21*z. Does 32 divide z?
True
Let i(f) = 4*f - 5*f - f + 0*f + 18. Let s be i(18). Is 10 a factor of -1 + (-3 - s - 4)?
True
Let h(m) = 2 + 10*m + 41 + 4*m + 5. Let s be h(22). Suppose 0*x + s = 2*u + 5*x, -5*u + 4*x = -956. Is 47 a factor of u?
True
Let z be 7698 + ((-4)/10 - (-84)/60). Suppose -13*i + z = 2785. Is 27 a factor of i?
True
Suppose 89*v + 2 = 90*v. Suppose -3*j - 5*p - v = -1, -3 = -3*j - 3*p. Does 12 divide (-12)/(j*(-5)/90)?
True
Let n(w) = 4*w**3 - 31*w**2 - 3*w - 44. Is 37 a factor of n(12)?
True
Let t be (7/(-7))/((-2)/(-4)). Let i = t - 16. Is 11 a factor of (i/(-2))/(1/11)?
True
Let u(y) = 2*y - 13. Let d be 0/(-1) - (1 + -9). Let f be u(d). Suppose 4*b - b = -3*k + 219, -3*k + 231 = -f*b. Does 17 divide k?
False
Suppose 22*v = 19*v + 738. Suppose 9*z + v = 12*z - 2*w, -435 = -5*z - 5*w. Is 12 a factor of z?
True
Suppose -33*l + 7*d + 349 = -28*l, 4*d = -l + 32. Is 6 a factor of l?
True
Let h be (2/(-2) + -1)*(-70)/20. Suppose -4 = -h*p - 60. Let z(v) = 4*v**2 + 14*v + 16. Is 10 a factor of z(p)?
True
Let x = -258 - -249. Is 4 a factor of (x/(-7 + 4))/((-3)/(-72))?
True
Let k(r) = r**3 - 10*r**2 - 10*r + 8. Let u be k(11). Let f = u + 56. Suppose 12*h + f = 2055. Is 20 a factor of h?
False
Let k be 3*50 + 0 - 0. Suppose -8*s + 384 = -4*s + o, -16 = -4*o. Let p = k - s. Is p a multiple of 7?
False
Let o = 3907 - 1212. Is 55 a factor of o?
True
Let c = -34 - -46. Let x be -9*(8/c - 1). Is 92/1 + 4 + x a multiple of 11?
True
Let y(g) = 4 + 0 - 1 - 7 - 2*g. Is 3 a factor of y(-10)?
False
Let a(c) = -c**3 - 6*c**2 + 3*c - 1. Let b be a(-7). Suppose 4*n - b = -m, -3*m + 23 = 5*n - 16. Suppose 218 = n*l + 2. Does 9 divide l?
True
Let r(s) = -s**3 - 2*s**2 + 2*s + 2. Let g be r(0). Suppose 3*n - 50 = -g*n. Suppose 3*v + n = o - 4, -o + 16 = -4*v. Is o a multiple of 2?
True
Suppose -2299*w = -2254*w - 1237860. Is w a multiple of 46?
True
Suppose -4*d + 5*q + 1383 + 18367 = 0, -4*q + 9836 = 2*d. Does 10 divide d?
True
Let s = 17116 - 11180. Is 106 a factor of s?
True
Let t(f) = 27*f**2 - 246*f + 667. Is t(23) a multiple of 16?
False
Let k(c) = 113*c**2 + 25*c - 48. Is k(5) a multiple of 13?
False
Let p(q) = -11*q + 6. Let s be p(0). Suppose -3*f = 2*k - 582, 8*k + 570 = 3*f + s*k. Is 48 a factor of f?
True
Let q be (50/5)/(-2) - -3. Let l be ((-42)/10 - -3)/(q/(-60)). Let p = l + 66. Does 30 divide p?
True
Suppose 4*r + 3*l = r + 33, 5*r - 3*l - 23 = 0. Suppose r*m - 1038 = -345. Let g = 197 - m. Does 25 divide g?
False
Let l be ((-48)/(-90)*10)/(1/(-30)). Is 41 a factor of ((-336)/l)/(-21) - 3282/(-20)?
True
Suppose 7584 = 3*f - 5*g - 38731, -f + 15415 = 3*g. Does 12 divide f?
False
Suppose -8*n - 12 = -14*n. Suppose -3*p + z + 12 - 4 = 0, n*p = 5*z + 14. Suppose -3*m = -2*j - 281, -j = m - p*j - 95. Is 13 a factor of m?
True
Let l(w) = -448*w + 1142. Is l(-22) a multiple of 24?
False
Suppose -7*r + 65044 = 14*r - 35966. Is 26 a factor of r?
True
Suppose 71*p + 16412 = 48930. Is p a multiple of 4?
False
Is 13 a factor of 20 + (-23 - 0) - (0 - (9092 + -2))?
True
Let w = 189 + -89. Suppose 110*s - w*s = 5760. Is 9 a factor of s?
True
Suppose 3*m = -4*w + 2396, 3*m = -3*w + 1503 + 897. Is m a multiple of 6?
True
Suppose 2*z = 4*p + 209 + 85, 3*p + 450 = 3*z. Does 76 divide z?
False
Let z(n) = 4*n**2 - 90*n + 616. Is 25 a factor of z(44)?
True
Suppose -4*j + a + 81536 = 0, 4*j - 2*a - 19243 = 62293. Is j a multiple of 182?
True
Suppose 26 = 2*s - 3*s. Let d = 525 - 478. Let m = s + d. Does 21 divide m?
True
Let g = -5778 - -5999. Let u = 5 + -163. Let s = u + g. Is 5 a factor of s?
False
Let d(s) = -65*s + 10. Let z be d(2). Let t = 246 + z. Is t a multiple of 21?
True
Let w(s) be the third derivative of -s**6/120 + s**5/5 + s**4/6 + 25*s**3/6 + 80*s**2. Does 5 divide w(12)?
False
Let s = -12426 + 14979. Is s a multiple of 5?
False
Let s(k) = k**3 - 13*k**2 + 26*k - 17. Let f be s(11). Suppose 29*h - f*h + 708 = 0. Let u = -246 - h. Is u a multiple of 36?
True
Let k(l) = 2170*l**2 - 137*l + 137. Is k(1) a multiple of 18?
False
Let q(i) = i - 12. Suppose -6*c + 0*c = -78. Let j be q(c). Is 38 a factor of (96 - j)*2/5?
True
Suppose 12*m - 7194 - 165066 = 0. Does 45 divide m?
True
Let m(b) = 2*b**2 - 2*b + 3. Let u be m(2). Suppose 5*j = u*j - 312. Is 16 a factor of j?
False
Let k = 132 + -213. Let l = k - -185. Is l a multiple of 26?
True
Suppose 7*a - 25960 = -1075. Is 15 a factor of a?
True
Suppose -4*s + 239 = -n + 22, -3*s + 180 = 5*n. Suppose s = 5*o - 550. Does 19 divide o?
False
Let b(z) = 13 - 9*z - 6 + 15*z - 6 - 8. Let j = -17 + 25. Does 13 divide b(j)?
False
Suppose p + 3 = 0, 0*o - o + 523 = 3*p. Let q = o + -118. Is 14 a factor of q?
False
Suppose -4*v = -z - 2525, 4*z - 2324 - 176 = -4*v. Is 5 a factor of v?
True
Let a(z) = -1523*z**2 - 22*z - 2. Let m be a(-1). Let r = 2511 + m. Is 36 a factor of r?
True
Suppose 8*c - 9*c - 5*d = 125, -3*c = d + 403. Let z = -43 - c. Does 4 divide z?
True
Suppose -z + 665 = 5*a - 0*z, -3*a - 4*z = -416. Let m = 105 + -21. Suppose -a*r - m = -134*r. Is 6 a factor of r?
True
Let j(o) = o**3 + 7*o**2 - 12. Let i be j(-7). Let z(x) = x**3 + 12*x**2 - 8*x - 10. Does 13 divide z(i)?
False
Is ((-42639)/9 + 3)/(-15 + 1869/126) a multiple of 134?
True
Let s(g) = g**2 - 11*g + 16. Let m = 271 - 134. Suppose 7*y + 46 = m. Is s(y) a multiple of 5?
False
Let m = 378 - 283. Suppose 2*r + 155 = -3*j, -3*r + 3*j = 40 + 185. Let o = r + m. Is 5 a factor of o?
False
Does 20 divide -24283*(((-32)/24 - -1) + (-2)/3)?
False
Let w be 6*(-8 - 354/(-36)). Suppose 4651 - 16388 = -w*i. Is i a multiple of 66?
False
Suppose 4*a = -4*j + 16, -2*a + 6*j - 3*j = -18. Let x(i) = 39*i - 55. Is x(a) a multiple of 7?
False
Let l = -53307 + 85825. Is l a multiple of 97?
False
Let v be (1 - 4) + -1 - -36. Suppose -4*g + 22 = 2*p - v, -g = -5*p + 14. Suppose 0 = 3*s - 4*x - 13, x + 0*x - g = -4*s. Does 3 divide s?
True
Let k(y) = 2*y**2 + 66*y + 8. Let h be k(12). Suppose h = 9*s - 3385. Is 71 a factor of s?
True
Suppose -160 = q - 4*q + k, -3*k + 276 = 5*q. Suppose m - 2*b = -0*m + q, 0 = 3*m + 3*b - 162. Is m a multiple of 27?
True
Suppose 5*j - 79197 - 42603 = -5*x, 5*x - j - 121782 = 0. Is x a multiple of 69?
True
Let o = -3421 - -4195. Is 3 a factor of o?
True
Suppose 2*k - 15709 = -3*u - 464, 3*u - 7633 = -k. Is 44 a factor of k?
True
Let k(s) = s**3 + 11*s**2 + 9*s + 6. Let r be k(-10). Let m(t) = 170*t**2 + t - 13. Let h be m(-5). Suppose r*f = h + 824. Is 25 a factor of f?
False
Let b(k) = 13*k**2 + 27*k - 145. Let l(z) = -7*z**2 - 14*z + 72. Let a(y) = 3*b(y) + 5*l(y). Is 22 a factor of a(7)?
True
Let n be 3 - ((-27)/45)/(1/(-15)). Let c(j) = -j**3 - j**2 - 9*j. Is 21 a factor of c(n)?
False
Suppose 0 = -6*p + 1402 - 256. Let q = 264 - p. Is q a multiple of 16?
False
Suppose -4*b = 2 - 2. Suppose 3*a + b*y - 513 = 3*y, -2*a = y - 333. Does 10 divide a?
False
Let w be (-96)/1296 + (-45418)/(-54). Suppose 29*n - w = 812. Does 3 divide n?
True
Let x(b) = -996*b - 6204. Does 4 divide x(-8)?
True
Suppose -5*q + 20 = -10. Let n = -1 + q. Suppose 2*d + 51 = n*d + o, -3*d + 57 = -o. Is d a multiple of 18?
True
Suppose -177 = -3*l - z, -4*l - 3*z = -2*l - 111. Suppose -3*x - 32 = -4*s, 5*x + s = -24 - l. Does 13 divide (2 + -5)*(x + 9)?
False
Let u(v) = 2 + 5*v - 5 + 8*v**2 - 3*v. Let p(w) = 7*w** | {
"pile_set_name": "DM Mathematics"
} |
= 24*v**2 - 30*v - 47. What are the prime factors of p(-9)?
11, 197
Let q(g) = -22*g + 6. Let v be q(1). What are the prime factors of (291/6)/((-8)/v)?
97
Suppose 19 = -2*u + 5*l, -4*l + 13 = u + l. What are the prime factors of 5/(10/(-89))*u?
89
Let s(d) = 3 + 39*d + 5 - 15*d - 4*d**2. List the prime factors of s(6).
2
Let w(x) = -x**3 + 13*x**2 - 11*x - 8. Let c be w(12). Suppose -6*r + 8*r - c = 0. Suppose r*y - 3*y = -54. What are the prime factors of y?
2, 3
Let t(g) = -2*g**2 + 24*g - 7. Let p be t(12). What are the prime factors of (-6)/42 - 925/p?
2, 3, 11
Suppose 15 + 16 = w. Let z = 87 - w. Suppose -8*x = -4*x - z. What are the prime factors of x?
2, 7
Let s(n) = -2*n - 75. Let c be s(29). Let f = -68 - c. List the prime factors of f.
5, 13
Let c(t) = t**2 + t + 35. List the prime factors of c(-17).
307
Let x = 1129 - 651. List the prime factors of x.
2, 239
What are the prime factors of 7/(35/30) - -1262?
2, 317
Let t = 23010 + -14360. List the prime factors of ((2 + 0)/1)/(100/t).
173
Let h = 270 - -877. List the prime factors of h.
31, 37
What are the prime factors of -3*(-1 + 24/18) - -547?
2, 3, 7, 13
What are the prime factors of 16912/126 - 4/18?
2, 67
Let n(p) = p**3 - 13*p**2 + 12*p + 5. Let f be n(12). Let l be 2 - f/(15/(-12)). Suppose 8*d = l*d + 74. List the prime factors of d.
37
Suppose -7*m - 43 = -393. Suppose -4*z + 166 + m = 0. List the prime factors of z.
2, 3
Suppose 6346 + 4089 = 3*r - 2*a, a + 13920 = 4*r. What are the prime factors of r?
59
What are the prime factors of (21/9 - 4) + (-5680)/(-24)?
5, 47
Suppose -5*i = 19*m - 22*m - 8939, 0 = -i + 2*m + 1785. List the prime factors of i.
1789
Let w(m) be the third derivative of -5*m**4/24 + 3*m**3/2 - 6*m**2. Let f be w(-4). Suppose -3*s + 10 = -f. List the prime factors of s.
13
Let o = -21 - -27. List the prime factors of (o + -3 - 1) + 70.
2, 3
Suppose -62*f + 3*m - 12555 = -65*f, -2*m - 4179 = -f. List the prime factors of f.
47, 89
Suppose 5*d = -25, 2*u + 0 = -4*d - 4. Let f = -11 + 16. Let m = u - f. List the prime factors of m.
3
Suppose 0 = 6*d - 258 + 696. Let q = 305 + d. What are the prime factors of q?
2, 29
Let j(o) be the first derivative of 22*o**3/3 + 23*o**2/2 + 5*o - 13. List the prime factors of j(-4).
5, 53
Suppose 31*j - 1809 = 2810. What are the prime factors of j?
149
Let y be 8/(-6)*18/(-12). Let v(g) = -g**2 + 21*g - 39. Let d be v(8). Suppose 3*u + 2*p + 56 - 144 = 0, -d = -y*u + 5*p. List the prime factors of u.
2, 3, 5
Suppose -186 = 2*t - 830. What are the prime factors of t?
2, 7, 23
Let z be (-5)/15 + 178*(-2)/(-6). Suppose -z = -5*k + 41. List the prime factors of k.
2, 5
Suppose -8 = -8*s + 152. Let l = s - 18. What are the prime factors of l?
2
Let w = -73 + 78. List the prime factors of w/(-10)*-110 - (0 + 3).
2, 13
Let c be -28 + (-6*1 - -2) + 0. What are the prime factors of (303/(-2))/(24/c) - -3?
5, 41
Let w = -1124 - -1936. What are the prime factors of w?
2, 7, 29
Suppose -a + 353 = 46. Suppose 0*g = -3*g - 3*m + 210, -a = -4*g + 5*m. List the prime factors of g.
73
Let q(b) = 3*b + 25. Let z be q(9). Let g = z + -21. What are the prime factors of g?
31
Let s be (-3)/(-3)*125/5. Let w be s/(-9) + 28/(-126). List the prime factors of (-117)/(-5) - w/5.
2, 3
Suppose 24446 = 21*a - 3946. What are the prime factors of a?
2, 13
Let p(x) = x**2 + 32*x + 8. List the prime factors of p(40).
2, 19
Let m = 44 + 170. What are the prime factors of m?
2, 107
Let m be (-5 + 0)/10*-4. Suppose 0*u = 5*u + 2*p - 431, -m*u - 2*p + 170 = 0. What are the prime factors of u?
3, 29
Let j(i) = -2*i - 3. Let m be j(-4). Let s(n) = -n**3 - 34*n**2 + 3*n + 127. Let x be s(-34). List the prime factors of ((-132)/(-20))/(m/x).
3, 11
Suppose 6*j - 27402 = 1104. List the prime factors of j.
4751
Let r be (13/26)/(1/(-2))*31. Let o = -26 - r. List the prime factors of o.
5
Suppose 5*y = y - 5*a + 33, 3 = -y + a. Suppose y*l = 9*g - 5*g + 630, l = -3*g + 320. What are the prime factors of l?
317
Let h(m) = -8*m + 35. Suppose i + 30 = 12. List the prime factors of h(i).
179
Let p = -26 + 27. Let v(b) = 66*b - 2. What are the prime factors of v(p)?
2
Let m(i) = -2*i**3 - 24*i**2 - 49*i - 13. What are the prime factors of m(-16)?
2819
Let g = 32 + -28. Suppose -5*x = g*r - 401, 2*x + 3*r - 78 = x. List the prime factors of x.
3
Let q(h) = 7*h - 59. Let y(s) = s + 13. Let m be y(5). List the prime factors of q(m).
67
Suppose -6*y + 11769 + 6759 = 0. What are the prime factors of y?
2, 193
Let l = 9 + -6. Suppose 2*w - 81 = -2*t + l*w, t = 3*w + 48. Let h = t - 22. What are the prime factors of h?
17
What are the prime factors of (-2)/9 - 42*(-18452)/378?
2, 5, 41
Suppose -p + 3*h = 46, -2*p + 4*h - 9 = 81. Let u = 52 - p. List the prime factors of u.
5, 19
Suppose -5*k = 8 + 32. Let m be (-4)/k - 3412/(-8). Suppose 6*p = -p + m. What are the prime factors of p?
61
Let x(v) = 2*v**2 - 8*v - 25. What are the prime factors of x(20)?
3, 5, 41
Let f be (-40)/(-30)*(-9)/(-2). Let y(s) = -s**3 + 7*s**2 + 7*s + 6. What are the prime factors of y(f)?
2, 3, 7
Suppose 1460 = 12*w - 9*w - a, a = 2*w - 974. What are the prime factors of w?
2, 3
Suppose -2*p + 250 = 3*p. Let o(k) = k**3 + k + 3. Let y be o(0). Suppose 2*f + y*q - p = 0, q = -5*f + 6*f - 20. What are the prime factors of f?
2, 11
Suppose 3*r - 1855 = -2*k, 3*r - 3*k + 1009 = 2884. What are the prime factors of r?
3, 23
List the prime factors of 4438/4 + 2 - 16/(-32).
2, 139
Suppose -5*s - 3*p + 80 = 0, -6*s + 4*s = -5*p - 1. List the prime factors of (139/(-4))/(s/(-52)).
139
List the prime factors of 36/((64/(-180))/(-8)).
2, 3, 5
Suppose 3170 = 17*u - 3596. List the prime factors of u.
2, 199
Let m(h) = -h**2 - h + 1. Let z(o) = 2*o**2 + 13*o + 11. Let x(r) = -m(r) - z(r). Let j(c) = 3*c + 15. Let f be j(-8). List the prime factors of x(f).
3, 5
Suppose 14*c = 6 + 330. Suppose -c = -0*t - 3*t. What are the prime factors of t?
2
Suppose -40*x + 56040 = -13480. What are the prime factors of x?
2, 11, 79
What are the prime factors of (-4)/40*-331*36*5?
2, 3, 331
Suppose -4*o = 4*m - 43 - 5, o + 30 = 5*m. Suppose -b + 13 = m. Suppose 49 = v - b. What are the prime factors of v?
5, 11
Suppose -2*m = -5*l + 3012, 0 = l - 4*l - 3*m + 1824. What are the prime factors of l?
2, 151
Let a(g) = -g - 1. Let z be a(-3). What are the prime factors of 46/(-4)*(-4 + (z - 0))?
23
Let j(u) = -1. Let g(c) = -7*c + 25. Let a(b) = -g(b) + 4*j(b). List the prime factors of a(13).
2, 31
Let n(y) = -y**2 + 9*y + 12. Let k be n(10). Suppose 7 = -5*w + k. Let l = w + 54. What are the prime factors of l?
53
What are the prime factors of (-376)/235 - (-3818)/5?
2, 3, 127
Suppose -5 = j - 6. Suppose 2*v = 5*o + 115, -3*o - 10 = -j. What are the prime factors of v?
2, 5
Let j = 334 - 94. Suppose -7*l = -2*l - j. What are the prime factors of l?
2, 3
Let b be ((-12)/(-10))/(11/(-550)). What are the prime factors of (b/8)/(12/(-56))?
5, 7
Let h = -450 - -1074. What are the prime factors of h?
2, 3, 13
Suppose -3*r - 120 = 2*r. Suppose 5*m + 19 = -106. What are the prime factors of r/28*(-3 + m)?
2, 3
Let q(l) = l. Let m be q(4). Let h(i) = -i**2 - 6*i + 9. Let n be h(-7). Suppose 3*a + n*a = -4*o + 26, 0 = -o + 4*a - m. List the prime factors of o.
2
Let v(d) = -d**2 - 13*d - 6. Let o be v(-13). What are the prime factors of ((-6)/18)/(2/o) + 125?
2, 3, 7
Let i be ((-16)/(-3))/((-6)/(-450)). Suppose 0 = 10*y - 0*y - i. List the prime factors of y.
2, 5
Let u(l) = l + 14. Let i be u(-8). Suppose -2*v + 12 - i = 0. Suppose v*d = 17 + 109. List the prime factors of d.
2, 3, 7
Let v = -555 + 937. What are the prime factors of v?
2, 191
Let s be (-1392)/33 + 6/33. Let r be s/(-11) - (-4)/22. Let n(a) = -a**3 + 6*a**2 - 5*a + 2. What are the prime factors of n(r)?
2, 7
Suppose 3*f + 363 = -5*r - 0*f, -f + 143 = -2*r. List the prime factors of (-6)/(r/(-6)) + (-157)/(-2).
2, 3, 13
What are the prime factors of (-24)/3*3/6 - -540?
2, 67
Suppose -u = 25 - 15. Let h(q) = -q + 22. List the prime factors of h(u).
2
Let t(r) = -4*r - 30*r + 18 - 5*r - 3*r. List the prime factors of t(-3).
2, 3
Let t be 3/3 + -1 - -26. Let o be (-2)/(-4)*-1*t. Let u = o + 30. What are the prime factors of u?
17
Let v be -3 + 1/(2/22). Suppose -v*x + 4*x = - | {
"pile_set_name": "DM Mathematics"
} |
- 2 + 598*t - 304*t + 11*t**2. Is o(x) a multiple of 5?
True
Let h be -2*((-52)/117 + (-14)/9). Suppose 3*n = -3*d + 600, h*d = 3*n + 499 + 301. Does 7 divide d?
False
Suppose 4*d = -22*k + 26*k - 48216, 12074 = k + 3*d. Does 20 divide k?
False
Let p = 70164 + -48706. Is 94 a factor of p?
False
Let u be (-8)/(-40) - ((-29552)/(-10))/(-4). Let y = -203 + u. Let j = y + -365. Is j a multiple of 18?
False
Let s(w) = w**3 + 6*w**2 - 6*w + 9. Let q be s(-7). Suppose -g + q*g = -2. Does 7 divide 5/2*(g + 8)?
False
Suppose -4*d = 5*i - 32, -4*d - 2*i + 5*i = 0. Suppose -4*u = -d*t + 2823, 3*t - 2805 = 73*u - 75*u. Does 30 divide t?
False
Let f be 2/(-3)*(5/(-1) - -2). Suppose 3*w = 2*w + f. Suppose 0 = 5*c - k - 707, -c = w*c + 3*k - 417. Is 20 a factor of c?
False
Let n(u) = 649*u**2 + 71*u - 365. Is n(5) a multiple of 12?
False
Let k = -3627 - -6411. Is 37 a factor of k?
False
Let t = 41025 + -22197. Is 51 a factor of t?
False
Suppose 44*l = 651 + 2077. Suppose -x + 13 = -l. Is x even?
False
Let q(x) = -149*x**3 - 2*x**2 + 63*x + 241. Does 67 divide q(-4)?
False
Does 5 divide (4 - 3)/(4/12) + 6321 + -16?
False
Let a = -9995 - -13251. Does 37 divide a?
True
Let c(g) = 5*g**2 + 7*g - 2. Let p be c(6). Suppose 5*n - 1165 + p = 0. Is 23 a factor of n?
False
Suppose -2*p + 6*p = s - 24, -5*s + 5*p + 45 = 0. Does 49 divide (-490)/s*(-180)/50?
True
Let q(x) = 266*x**2 - 10*x + 38. Is 34 a factor of q(3)?
False
Suppose 0 = 4*o + 3*h + 17 + 4, 2*o + 17 = 5*h. Let r(p) = -p**3 - 4*p**2 - p + 15. Let f be r(o). Suppose 4*d - f = 103. Does 9 divide d?
False
Let m(h) = 17*h + 89. Let k be m(-4). Suppose k*r - 13*r = 960. Is r a multiple of 15?
True
Let o(w) = -1 + 5782*w - 2 - 5784*w + 12*w**2 - 2*w**3. Does 6 divide o(5)?
False
Is 12/(-26) - (-2107026)/702 a multiple of 4?
False
Suppose -4*v + 2*i + 2130 = 0, 0*v - 4*i = -4*v + 2124. Suppose 5*h - 15 = 0, -3*h = -4*q + v + 257. Is 10 a factor of q?
True
Suppose -3*l - 123 + 7 = 5*y, 4*l + 193 = y. Let a = l + 94. Suppose -2*s = -163 + a. Does 34 divide s?
False
Let c = -1447 - -2757. Suppose -59*s - c = -64*s. Is s a multiple of 8?
False
Suppose v + 5*m = 19776, -v + 3*m = -3205 - 16603. Does 49 divide v?
True
Let i be (116/(-3) + 3)/((-5)/60). Let c = 0 - -5. Suppose 2*s - 3*t - t - 176 = 0, -c*s + 4*t + i = 0. Does 14 divide s?
True
Let g(p) = -3*p - 3. Let s be g(-2). Let t be s - (-3 + 4 + 2). Suppose 4*h - 44 = -w, -4*w = -3*h - t*h - 252. Does 7 divide w?
False
Suppose 35*q = -536 - 304. Is 20 a factor of (-1514)/(-2) - -6*(-20)/q?
False
Let y(x) be the third derivative of -x**4/6 + 28*x**3 - 10*x**2 - 2*x. Does 58 divide y(26)?
False
Let p = 4110 - 3158. Does 149 divide p?
False
Let x(w) = -1 - 23*w - 1 - 46*w + 5*w. Is 41 a factor of x(-1)?
False
Let h = -5386 + 7588. Suppose a + 4*b - 1116 = 0, 11*a + h = 13*a - 2*b. Is 12 a factor of a?
True
Let u = 151 + -8. Suppose 2*m - 449 = -u. Does 9 divide m?
True
Let f be -3*(1 - 0)*5. Suppose 2*p + 5*i - 225 = -73, 0 = 5*p + 3*i - 342. Is (-25)/1*p/f a multiple of 10?
True
Suppose 0 = -244*k + 241*k - 2*f + 38143, -3*f - 38118 = -3*k. Is 19 a factor of k?
True
Let s = 21605 - 678. Is 117 a factor of s?
False
Let s = -21173 - -30673. Is 25 a factor of s?
True
Let s(m) = 239*m - 300. Let r(x) = -232*x + 301. Let k(v) = -5*r(v) - 6*s(v). Does 11 divide k(-4)?
False
Let d(t) = -t**2 - 14*t + 17. Let l be d(-15). Suppose z - k = l*k - 12, 28 = z + 5*k. Suppose -128 = -z*v + 337. Is 16 a factor of v?
False
Suppose -3*x + 63 = 3*g, 90 = 5*x - 4*g + 6*g. Suppose -12*z = -x*z. Suppose 2*a = -3*r - 3*a + 552, -a + 3 = z. Is 26 a factor of r?
False
Let w = 540 - 573. Let p(x) = x + 109. Does 12 divide p(w)?
False
Let a = -509 - 46. Let z = -345 - a. Is z a multiple of 15?
True
Suppose 19*k + 225 = 14*k. Let q be (-4)/18 + 1*485/k. Does 14 divide 6/33 - 2616/q?
True
Let l(t) = -52*t - 143. Is 93 a factor of l(-39)?
False
Suppose -143*j + 93062 = -124*j. Is 25 a factor of j?
False
Let w(b) = 27*b - 43. Let j(m) = -28*m + 43. Let o(p) = 4*j(p) + 5*w(p). Does 9 divide o(5)?
True
Suppose -8 = -4*y + 12. Suppose -3*q + 12 + 0 = 3*l, y*q = 5*l. Suppose 0*h - 2*x + 100 = h, 5*h - 468 = -q*x. Is h a multiple of 23?
True
Let x(z) = -56*z - 1211. Does 3 divide x(-23)?
False
Suppose -r + 3 = 3*v, 5*v - 4*r - 22 = -0*r. Suppose -v*k - 20 = -5*f - 4, -4 = -f. Suppose -3*a + 5*x = -32, 5*a - 2*x = k*x + 49. Does 3 divide a?
True
Is -16*(-400)/(-32)*(-560)/25 a multiple of 14?
True
Let d = 6843 - -259. Does 48 divide d?
False
Let z = 44 - 40. Suppose 0*p + 2*v = -3*p + 11, v - 8 = -z*p. Is 9 a factor of (-2)/(-2*p/36)?
True
Suppose 10 = 5*n + 2*w, 3*w + 16 = -n - w. Is 1274/n - (14/(-4) + 2) a multiple of 58?
False
Let q be (4 - (-90)/(-21)) + (-5282)/(-14). Suppose -6*v + 2593 = -q. Does 38 divide v?
False
Let r(m) = -48*m**3 - 3*m**2 + 2*m + 2. Let u be r(2). Let j = u + 502. Is 14 a factor of j?
True
Suppose -5*u = -5, 0 = -0*w - 5*w - 4*u - 491. Let d = w - -161. Does 6 divide d?
False
Let c(l) = -l - 21. Let h be c(-15). Is 18 a factor of 71*5/(-15)*h?
False
Suppose 54*w = 42083 - 13355. Is 7 a factor of w?
True
Let f(v) = 3*v**2 + 66*v + 508. Let t be f(-13). Let d = -42 + 9. Let s = t + d. Is 26 a factor of s?
False
Let y = -1011 + 83. Is 6 a factor of 20/(-110) - y/22?
True
Let c = -11 - -16. Let a(p) = 8*p + 29. Let l be a(-3). Suppose 6*b = c*q + 3*b - 232, -l*b - 196 = -4*q. Is 11 a factor of q?
True
Let k = 12862 - 8606. Is k a multiple of 13?
False
Suppose 14*q - 11*q = 0. Suppose q*y - 5 = -y. Suppose y*s - 74 = 3*s. Is s a multiple of 5?
False
Does 48 divide (-337)/(14/18*-3) - 15/35?
True
Let d = 819 + -1230. Let a = 781 + d. Does 10 divide a?
True
Suppose 0 = -p - 5*h + 30, -2*p + 4*h = -0*p - 18. Suppose 0 = p*w - 16*w + 3. Suppose -23 - 274 = -w*g. Is 17 a factor of g?
False
Let h be (10 + 154/(-4))/((-6)/40). Let l = h - 106. Is l a multiple of 42?
True
Let i(b) = -318*b - 916. Is 2 a factor of i(-5)?
True
Let i(b) = 4*b - 80. Let m be i(21). Suppose 4*s - s = m*p + 649, -5*p - 867 = -4*s. Is 12 a factor of s?
False
Let v be (-191980)/(-150) - (-14)/105. Let q = -209 + v. Is q a multiple of 102?
False
Let l(g) = -12 + 18*g + 16*g - 33*g. Let f be l(7). Is 12 a factor of (-122)/f + 10/(-25)?
True
Let d = 2100 + -1267. Is d a multiple of 7?
True
Suppose 4*w = 5*c - 18 - 29, -3*w = -2*c + 23. Suppose 9*g + 11 = -c. Is g/(-1) + 6 + 55 a multiple of 21?
True
Let t(g) be the third derivative of 35*g**4/12 - 23*g**3/3 - 81*g**2. Does 22 divide t(6)?
True
Let f = -125 - -127. Let u(v) = -2*v**2 - v**3 + 10*v**2 - v**f. Is 36 a factor of u(6)?
True
Let f(r) = r**3 + 38*r**2 + 11*r + 197. Does 4 divide f(-37)?
False
Is 22 a factor of (-5 + 222/42)/(16/50512)?
True
Let t(a) = 314*a + 1654. Is t(-3) even?
True
Suppose 9*y + 64 = 91. Suppose t - 1086 = -2*h - 181, -y*t + 2719 = 5*h. Is 21 a factor of t?
False
Does 10 divide ((-63)/15)/(9/(-52485)) + 21/3?
True
Let y(r) be the third derivative of 49*r**5/60 + 7*r**4/24 - 2*r**3/3 - 6*r**2 + 3*r. Is y(1) a multiple of 4?
True
Suppose -5*b = -2510 + 160. Suppose 9*u - 340 = b. Does 45 divide u?
True
Let a(l) = -2*l**2 - 17*l + 12. Let w(q) = -q**2 + q. Let j(m) = -a(m) + 4*w(m). Let p be j(9). Suppose -12 - p = -y. Is y a multiple of 10?
False
Suppose 14*t - 63 = -21. Suppose -2*f + 1056 = 5*m, -8*f + 12*f = t*m + 2138. Is 47 a factor of f?
False
Let u be ((-36)/15)/(-6) + (-26)/(-10). Let w be (20 + (-12)/u)*9/4. Let x = 72 - w. Is x a multiple of 8?
False
Let i(l) be the second derivative of -l**5/20 - l**3/2 + 129*l**2/2 + 7*l - 6. Is 7 a factor of i(0)?
False
Suppose 0 = -r - 5*x + 404, 0 = -r + 4*r - 2*x - 1127. Suppose 3*m + r - 631 = 0. Is m a multiple of 3?
True
Let x(u) = 5*u**2 - u. Let s = -16 - -20. Suppose 2*k + 5*n - n = -18, -s*n = -3*k - 17. Is 14 a factor of x(k)?
True
Is ((-28)/(-20) - 1)/(11 - (-4007290)/(-364300)) a multiple of 38?
False
Suppose -3*g = h - 4769 - 75, 3*g + 4*h - 4841 = 0. Does 85 divide g?
True
Let b(m) = m**3 + 13*m**2 + 10*m + 30. Let i be b(-12). Let k be 2/9 - 12/i. Suppose -4*n = 2*t - 152 + 24, 4*n + t - 126 = k. Is n a multiple of 31?
True
Let x = 321 + -319. Suppose -12*w = -7*w + 5*c - 455, x*c + 198 = 2*w. Is w even?
False
Is 14 a factor of (14/3)/((4/33)/(-1 - -87))?
False
Let | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from rkwns.
1/60
Two letters picked without replacement from jjjmjmsmuylmmym. Give prob of sequence ms.
1/35
Calculate prob of sequence vrk when three letters picked without replacement from kkvkkekrv.
5/252
What is prob of sequence oozo when four letters picked without replacement from dfoozoodyz?
1/105
Two letters picked without replacement from czccccz. Give prob of sequence zz.
1/21
Two letters picked without replacement from {e: 2, b: 1, n: 1, z: 1}. Give prob of sequence ee.
1/10
What is prob of sequence ss when two letters picked without replacement from smooomooooooso?
1/91
What is prob of sequence zt when two letters picked without replacement from vvtzvvzzvelv?
1/44
Three letters picked without replacement from {c: 1, o: 2}. What is prob of sequence oco?
1/3
What is prob of sequence qhjj when four letters picked without replacement from qjshqhjqqqqi?
1/495
Two letters picked without replacement from uxxrxwruxuxyxxxuxu. Give prob of sequence ry.
1/153
Two letters picked without replacement from {k: 1, y: 2, t: 3, e: 6, m: 2, a: 6}. Give prob of sequence ek.
3/190
Calculate prob of sequence waa when three letters picked without replacement from {a: 3, p: 3, w: 4, o: 4}.
1/91
Calculate prob of sequence awaw when four letters picked without replacement from aaawwaa.
1/21
Calculate prob of sequence hhh when three letters picked without replacement from {q: 11, h: 5}.
1/56
Three letters picked without replacement from plppkkpplplppkwpkwp. Give prob of sequence kpk.
20/969
Three letters picked without replacement from {c: 1, o: 2, q: 1}. What is prob of sequence coo?
1/12
What is prob of sequence hhwh when four letters picked without replacement from wwhwhhhwwwwwhhhw?
9/208
What is prob of sequence mm when two letters picked without replacement from {d: 1, m: 10, b: 7}?
5/17
Four letters picked without replacement from kkkkddk. What is prob of sequence dkdk?
1/21
Two letters picked without replacement from nnnnnnnnnn. What is prob of sequence nn?
1
What is prob of sequence uu when two letters picked without replacement from ffufuff?
1/21
Four letters picked without replacement from {z: 6, x: 5, n: 2}. What is prob of sequence nnzx?
1/286
Two letters picked without replacement from {v: 3, z: 2, t: 2, o: 2}. What is prob of sequence vt?
1/12
What is prob of sequence oqo when three letters picked without replacement from dqqoddqoqodqddo?
2/91
Calculate prob of sequence fsuf when four letters picked without replacement from {u: 6, s: 4, f: 4}.
12/1001
Two letters picked without replacement from wwwwwwwww. What is prob of sequence ww?
1
What is prob of sequence lj when two letters picked without replacement from yyygjllyyypddy?
1/91
Calculate prob of sequence xar when three letters picked without replacement from {s: 1, d: 1, x: 2, a: 5, r: 6, y: 1}.
1/56
Four letters picked without replacement from btdbltlddtd. Give prob of sequence btdb.
1/330
Four letters picked without replacement from wkkffs. What is prob of sequence ksfk?
1/90
Four letters picked without replacement from yyppyyssyyysspyyyyyy. What is prob of sequence spsy?
13/3230
Three letters picked without replacement from {d: 10}. What is prob of sequence ddd?
1
Calculate prob of sequence zg when two letters picked without replacement from {z: 1, g: 1, s: 2, r: 1, m: 5}.
1/90
Calculate prob of sequence tjjj when four letters picked without replacement from {t: 5, j: 8, o: 4}.
1/34
What is prob of sequence xxyx when four letters picked without replacement from {c: 7, r: 1, z: 2, x: 3, y: 1}?
1/4004
Four letters picked without replacement from {q: 6}. Give prob of sequence qqqq.
1
Three letters picked without replacement from {u: 5, c: 9, l: 3, y: 1}. Give prob of sequence lyu.
5/1632
Four letters picked without replacement from whhwwhhhww. Give prob of sequence wwhh.
5/63
Calculate prob of sequence aa when two letters picked without replacement from {o: 1, a: 2}.
1/3
Four letters picked without replacement from xffxxfxfxfffff. Give prob of sequence xxxf.
45/2002
What is prob of sequence epe when three letters picked without replacement from {j: 1, x: 1, e: 9, h: 1, p: 1, g: 4}?
3/170
Two letters picked without replacement from hhirtrttrhhhhttrr. What is prob of sequence ih?
3/136
Two letters picked without replacement from {s: 1, j: 2, v: 1, r: 2, m: 1, q: 1}. Give prob of sequence sq.
1/56
Four letters picked without replacement from nplnscnpnn. What is prob of sequence lcsp?
1/2520
Three letters picked without replacement from artoaaoararar. Give prob of sequence oot.
1/858
Two letters picked without replacement from knkkkudd. Give prob of sequence du.
1/28
What is prob of sequence fec when three letters picked without replacement from {c: 1, e: 1, b: 2, f: 2, y: 1}?
1/105
What is prob of sequence qg when two letters picked without replacement from rrgq?
1/12
Two letters picked without replacement from {i: 3, w: 4}. Give prob of sequence iw.
2/7
What is prob of sequence jzr when three letters picked without replacement from zjybr?
1/60
Three letters picked without replacement from {t: 2, n: 6}. Give prob of sequence tnt.
1/28
Calculate prob of sequence lloo when four letters picked without replacement from booblolloobbo.
3/286
Three letters picked without replacement from lrqqqrrlkklleekllql. Give prob of sequence elq.
28/2907
Two letters picked without replacement from {z: 1, p: 1, e: 1, v: 2}. What is prob of sequence vp?
1/10
What is prob of sequence uhhu when four letters picked without replacement from {u: 6, h: 7}?
21/286
Calculate prob of sequence rd when two letters picked without replacement from drjr.
1/6
Three letters picked without replacement from mmmdmmddmmmmmmmmdmmm. What is prob of sequence mmd?
8/57
Calculate prob of sequence hb when two letters picked without replacement from {b: 3, u: 2, h: 10}.
1/7
Three letters picked without replacement from {m: 7, d: 7}. Give prob of sequence mdd.
7/52
Calculate prob of sequence rr when two letters picked without replacement from {c: 7, r: 2}.
1/36
Calculate prob of sequence msu when three letters picked without replacement from sum.
1/6
Three letters picked without replacement from {w: 1, j: 7}. What is prob of sequence jjw?
1/8
Three letters picked without replacement from {e: 2, z: 2, a: 1, o: 1, t: 1}. Give prob of sequence tez.
2/105
What is prob of sequence gj when two letters picked without replacement from {j: 1, g: 4, x: 2}?
2/21
Calculate prob of sequence jzj when three letters picked without replacement from {t: 4, z: 5, j: 8}.
7/102
Four letters picked without replacement from {e: 2, g: 3, n: 1, i: 3, f: 5, y: 1}. Give prob of sequence gneg.
1/2730
Two letters picked without replacement from {b: 5, m: 3, d: 4}. Give prob of sequence mb.
5/44
What is prob of sequence ayy when three letters picked without replacement from uyuyurrnmyryauuu?
1/280
Three letters picked without replacement from {g: 8, k: 1, y: 4}. Give prob of sequence ygk.
8/429
What is prob of sequence my when two letters picked without replacement from nncnucmuugyyc?
1/78
Four letters picked without replacement from {z: 6, y: 13}. Give prob of sequence zzyz.
65/3876
What is prob of sequence rrr when three letters picked without replacement from {r: 5}?
1
Calculate prob of sequence hoh when three letters picked without replacement from ohhhouuouoh.
8/165
Four letters picked without replacement from qnngqnnrunngnmgnu. What is prob of sequence nrgm?
1/2380
Calculate prob of sequence cn when two letters picked without replacement from {n: 1, c: 3, s: 3}.
1/14
Calculate prob of sequence gy when two letters picked without replacement from {g: 2, x: 8, w: 2, y: 2, b: 1}.
2/105
What is prob of sequence ah when two letters picked without replacement from ahjtaja?
1/14
Calculate prob of sequence jdjj when four letters picked without replacement from {j: 4, d: 7}.
7/330
Four letters picked without replacement from yxxxyykkkyyykxxyy. Give prob of sequence xxky.
4/357
What is prob of sequence xmhm when four letters picked without replacement from hmxmmxhx?
3/140
Calculate prob of sequence pb when two letters picked without replacement from poirb.
1/20
Three letters picked without replacement from sasmmssssassssos. Give | {
"pile_set_name": "DM Mathematics"
} |
er when 455 is divided by 59.
42
Calculate the remainder when 3607 is divided by 240.
7
Calculate the remainder when 171 is divided by 50.
21
What is the remainder when 263 is divided by 86?
5
What is the remainder when 1015 is divided by 100?
15
What is the remainder when 1319 is divided by 95?
84
What is the remainder when 824 is divided by 162?
14
What is the remainder when 195 is divided by 73?
49
What is the remainder when 280 is divided by 57?
52
Calculate the remainder when 815 is divided by 71.
34
Calculate the remainder when 591 is divided by 85.
81
Calculate the remainder when 94 is divided by 19.
18
What is the remainder when 102 is divided by 27?
21
What is the remainder when 2935 is divided by 70?
65
What is the remainder when 2571 is divided by 112?
107
What is the remainder when 6438 is divided by 20?
18
Calculate the remainder when 343 is divided by 114.
1
Calculate the remainder when 171 is divided by 76.
19
Calculate the remainder when 230 is divided by 95.
40
Calculate the remainder when 1687 is divided by 421.
3
Calculate the remainder when 1327 is divided by 184.
39
What is the remainder when 300 is divided by 64?
44
What is the remainder when 1086 is divided by 35?
1
Calculate the remainder when 591 is divided by 25.
16
What is the remainder when 74 is divided by 47?
27
What is the remainder when 14 is divided by 14?
0
Calculate the remainder when 730 is divided by 31.
17
Calculate the remainder when 980 is divided by 79.
32
What is the remainder when 152 is divided by 41?
29
Calculate the remainder when 206 is divided by 59.
29
What is the remainder when 3807 is divided by 67?
55
Calculate the remainder when 3117 is divided by 94.
15
What is the remainder when 2811 is divided by 42?
39
Calculate the remainder when 81 is divided by 55.
26
Calculate the remainder when 9685 is divided by 27.
19
Calculate the remainder when 215 is divided by 24.
23
Calculate the remainder when 1001 is divided by 200.
1
What is the remainder when 1021 is divided by 64?
61
Calculate the remainder when 389 is divided by 126.
11
What is the remainder when 399 is divided by 5?
4
What is the remainder when 249 is divided by 90?
69
Calculate the remainder when 510 is divided by 53.
33
Calculate the remainder when 421 is divided by 53.
50
Calculate the remainder when 7465 is divided by 97.
93
What is the remainder when 177 is divided by 45?
42
What is the remainder when 630 is divided by 228?
174
Calculate the remainder when 3209 is divided by 531.
23
Calculate the remainder when 238 is divided by 83.
72
What is the remainder when 70 is divided by 21?
7
Calculate the remainder when 2567 is divided by 198.
191
What is the remainder when 4866 is divided by 157?
156
Calculate the remainder when 82 is divided by 5.
2
Calculate the remainder when 163 is divided by 120.
43
What is the remainder when 46 is divided by 6?
4
Calculate the remainder when 2918 is divided by 21.
20
What is the remainder when 1313 is divided by 29?
8
Calculate the remainder when 31 is divided by 9.
4
What is the remainder when 203 is divided by 32?
11
Calculate the remainder when 1872 is divided by 5.
2
Calculate the remainder when 272 is divided by 143.
129
Calculate the remainder when 95 is divided by 49.
46
Calculate the remainder when 13277 is divided by 10.
7
Calculate the remainder when 204 is divided by 14.
8
Calculate the remainder when 413 is divided by 131.
20
What is the remainder when 410 is divided by 125?
35
What is the remainder when 404 is divided by 37?
34
What is the remainder when 164 is divided by 58?
48
Calculate the remainder when 58 is divided by 19.
1
Calculate the remainder when 235 is divided by 17.
14
What is the remainder when 1184 is divided by 15?
14
Calculate the remainder when 853 is divided by 107.
104
What is the remainder when 28 is divided by 22?
6
Calculate the remainder when 937 is divided by 119.
104
Calculate the remainder when 79 is divided by 27.
25
Calculate the remainder when 129 is divided by 44.
41
What is the remainder when 5979 is divided by 105?
99
What is the remainder when 328 is divided by 66?
64
Calculate the remainder when 368 is divided by 182.
4
What is the remainder when 2813 is divided by 200?
13
Calculate the remainder when 994 is divided by 44.
26
Calculate the remainder when 41 is divided by 9.
5
What is the remainder when 674 is divided by 114?
104
Calculate the remainder when 232 is divided by 26.
24
Calculate the remainder when 2855 is divided by 946.
17
Calculate the remainder when 4371 is divided by 81.
78
Calculate the remainder when 106 is divided by 102.
4
What is the remainder when 1409 is divided by 692?
25
Calculate the remainder when 7121 is divided by 17.
15
Calculate the remainder when 11396 is divided by 25.
21
What is the remainder when 1716 is divided by 52?
0
What is the remainder when 207 is divided by 86?
35
Calculate the remainder when 123 is divided by 39.
6
What is the remainder when 581 is divided by 205?
171
Calculate the remainder when 2146 is divided by 50.
46
What is the remainder when 199 is divided by 20?
19
What is the remainder when 479 is divided by 20?
19
Calculate the remainder when 148 is divided by 50.
48
Calculate the remainder when 230 is divided by 34.
26
What is the remainder when 250 is divided by 37?
28
What is the remainder when 1311 is divided by 434?
9
What is the remainder when 1407 is divided by 287?
259
Calculate the remainder when 549 is divided by 267.
15
What is the remainder when 3035 is divided by 40?
35
Calculate the remainder when 1012 is divided by 102.
94
What is the remainder when 483 is divided by 61?
56
Calculate the remainder when 113 is divided by 23.
21
What is the remainder when 1214 is divided by 76?
74
Calculate the remainder when 921 is divided by 42.
39
Calculate the remainder when 1319 is divided by 15.
14
What is the remainder when 44 is divided by 34?
10
Calculate the remainder when 1197 is divided by 323.
228
What is the remainder when 3202 is divided by 89?
87
What is the remainder when 740 is divided by 9?
2
Calculate the remainder when 486 is divided by 24.
6
What is the remainder when 484 is divided by 96?
4
What is the remainder when 799 is divided by 399?
1
What is the remainder when 116 is divided by 59?
57
What is the remainder when 1093 is divided by 58?
49
What is the remainder when 244 is divided by 2?
0
What is the remainder when 251 is divided by 63?
62
Calculate the remainder when 82 is divided by 49.
33
What is the remainder when 361 is divided by 88?
9
Calculate the remainder when 662 is divided by 396.
266
Calculate the remainder when 248 is divided by 50.
48
Calculate the remainder when 68 is divided by 21.
5
Calculate the remainder when 1765 is divided by 31.
29
Calculate the remainder when 1262 is divided by 159.
149
What is the remainder when 221 is divided by 42?
11
What is the remainder when 365 is divided by 93?
86
What is the remainder when 447 is divided by 223?
1
What is the remainder when 133 is divided by 53?
27
Calculate the remainder when 247 is divided by 31.
30
Calculate the remainder when 103 is divided by 22.
15
What is the remainder when 70 is divided by 19?
13
Calculate the remainder when 641 is divided by 86.
39
Calculate the remainder when 74 is divided by 25.
24
Calculate the remainder when 1994 is divided by 29.
22
Calculate the remainder when 1194 is divided by 9.
6
Calculate the remainder when 159 is divided by 32.
31
What is the remainder when 97 is divided by 18?
7
What is the remainder when 6964 is divided by 54?
52
What is the remainder when 525 is divided by 86?
9
Calculate the remainder when 354 is divided by 348.
6
What is the remainder when 407 is divided by 34?
33
Calculate the remainder when 597 is divided by 59.
7
What is the remainder when 2380 is divided by 16?
12
What is the remainder when 163 is divided by 54?
1
What is the remainder when 388 is divided by 65?
63
What is the remainder when 237 is divided by 49?
41
Calculate the remainder when 197 is divided by 45.
17
What is the remainder when 7316 is divided by 13?
10
What is the remainder when 530 is divided by 20?
10
Calculate the remainder when 525 is divided by 15.
0
Calculate the remainder when 125 is divided by 48.
29
What is the | {
"pile_set_name": "DM Mathematics"
} |
emainder when 4/(-18) + i/9 is divided by q?
7
Let r(i) = 32*i**2 + 4*i + 3. Calculate the remainder when r(-1) is divided by 8.
7
What is the remainder when 956/28 - (-2)/(-14) is divided by 12?
10
Suppose 5*q + 15 = 8*q. Suppose 394 = q*z + h, -4*z + 0*h = -h - 317. What is the remainder when z is divided by 27?
25
Let m(q) = q**3 - q**2 + q - 12. Let y(r) = -1. Let t(i) = -m(i) - 3*y(i). Let n be t(0). Suppose -a + 19 = -n. What is the remainder when a is divided by 18?
16
Let q = -29 + 23. Let l(p) = 2*p - 6. What is the remainder when (-42)/(-4) + 3/q is divided by l(6)?
4
Suppose 3*z = 3*i + 39, 0 = -i - 4*z + 1 - 4. Let n = i - -23. What is the remainder when 23 is divided by n?
11
Let l = -8 - -11. Suppose s + l*n = 20, -2*n - 2 = -12. Let j = -21 - -30. Calculate the remainder when j is divided by s.
4
Suppose -i + m + 11 + 15 = 0, i - 36 = -4*m. Let b = 10 + -18. Let d = 18 + b. Calculate the remainder when i is divided by d.
8
What is the remainder when 57 is divided by 17 - 0 - ((-40)/4 - -6)?
15
Let v(a) = -2*a + 2. Let j(q) = -q**3 - 18*q**2 - 2*q - 30. Calculate the remainder when v(-4) is divided by j(-18).
4
Let f = 16 + -11. Suppose 0 = -3*p + 1 + f. Suppose 0 = -3*q - j + 184 - 54, -q = -p*j - 55. Calculate the remainder when q is divided by 12.
9
Suppose -4*h = -458 + 146. Calculate the remainder when h is divided by 20.
18
Suppose 0*y + 31 = 3*y + l, -4*l - 80 = -5*y. Calculate the remainder when 47 is divided by y.
11
Let z(q) = q - 3. Let x be z(8). Calculate the remainder when 714/15 + (-3)/x is divided by 12.
11
Suppose 3*g - 2 = 4*g, -4*r = -4*g - 8. Suppose -2*o + 4 + 24 = r. Calculate the remainder when 53 is divided by o.
11
Suppose 0 = 7*f - 3*f - 80. Suppose y = -0*y + 59. Suppose -3*z + y = -2*z. Calculate the remainder when z is divided by f.
19
Let k be ((-12)/(-8))/(-1)*-2. Suppose 2*n - 56 = -3*j + 19, -k*j + n + 66 = 0. Calculate the remainder when j is divided by 6.
5
Suppose -r = -2*v - 1, -5*v - 5 = -2*r - 0. Let u = r - 4. What is the remainder when 2/9 - 115/u is divided by 7?
6
Let z(p) = -p**3 + 8*p**2 + 5*p + 2. Let m = 44 - 22. What is the remainder when z(8) is divided by m?
20
Suppose -1 - 7 = 4*z, -4*z - 260 = -4*t. Suppose -t = -2*r - r. Calculate the remainder when r is divided by 11.
10
Suppose 0 = 2*g + 3*g - 185. What is the remainder when g is divided by 13?
11
Suppose h = 2*h - 7. Suppose -r + 2*r - h = 0. Suppose -5*c + 12 = -8. What is the remainder when r is divided by c?
3
Let a = -12 - -20. Let n be (-303)/(-12) - 2/a. Calculate the remainder when n + 2/2 - 0 is divided by 7.
5
Let m(c) = c**2 + 4*c - 5. Let j be m(-6). Let o = 4 - j. Let i = 7 + o. What is the remainder when i is divided by 3?
1
Suppose -80 = w - 3*w. What is the remainder when w is divided by 26?
14
Suppose 2*s - 7*s - 40 = 0. Let w = s + 15. What is the remainder when 19 is divided by w?
5
Suppose -n - 2*n - 2 = 2*t, -3*n = 12. Suppose t*z + 26 = 3*i - 0*i, -4*z = -2*i + 18. Calculate the remainder when 19 is divided by i.
5
Suppose -22 = -5*u + 28. Calculate the remainder when (-5)/((-20)/88) - 3 is divided by u.
9
Suppose -4*m + 61 = -5*x - 48, -3*m - 5*x + 38 = 0. Calculate the remainder when 83 is divided by m.
20
Suppose 16 = -4*b, 2*w + 10 = 3*w - 2*b. Suppose -4 - 2 = -w*r. Suppose r*u - 7 = 2*u. Calculate the remainder when u is divided by 2.
1
Let f(p) = -p**3 + 19*p**2 - 19*p + 49. Calculate the remainder when 84 is divided by f(18).
22
Let t(d) = d**3 + 12*d**2 + 15*d - 10. What is the remainder when t(-9) is divided by 11?
10
Let m be 34*(-1)/2 - -2. Calculate the remainder when 6 is divided by 44/10 - (-6)/m.
2
Let p(w) = -w**2 + 4*w + 5. Let g be p(5). Calculate the remainder when 44 is divided by (g - 3) + 0 + 26.
21
Let w = 299 - 443. Suppose 2*x + 189 = -5*c, -309 = 2*x + x - c. Let q = x - w. What is the remainder when q is divided by 15?
12
Let f(z) = 3*z**2 - z - 3. Let o be f(4). Suppose -3*u + o = k, -8*u + 68 = -4*u + 4*k. What is the remainder when 35 is divided by u?
11
Suppose -5*m = -2*m - 2*t + 12, 4*m + 18 = 2*t. Let y(n) = -3*n - 9. Let w(q) = 9*q - 1. Calculate the remainder when w(2) is divided by y(m).
8
Suppose 5*b - l - 150 = -0*l, 25 = -5*l. Let q = 47 - b. Suppose -8*z + 212 = -4*z. Calculate the remainder when z is divided by q.
17
Calculate the remainder when ((-6)/(-9))/((-4)/(-1 + -203)) is divided by 5.
4
Let h = -25 + 29. What is the remainder when 14 is divided by h?
2
Let g(s) = -1 + 4*s**2 - 2 + 4. Suppose 2*i = -3*k - 14, 2*i = -4*k + i - 12. Calculate the remainder when g(k) is divided by 9.
8
Let d be (120 - -10)*2/(-5). Let t = -36 - d. What is the remainder when 29 is divided by t?
13
Suppose -q + 0*q = -9. Let s(o) = 16*o. Suppose 4 = -4*g + 8*g. What is the remainder when s(g) is divided by q?
7
Suppose -54 = -7*t + 4*t. Let m = t - -2. Calculate the remainder when 58 is divided by m.
18
Suppose 11*l + 150 = 16*l. What is the remainder when l is divided by 14?
2
Suppose 0 = 4*l - 4*w - 92, -w + 2*w - 55 = -2*l. Suppose -5*z + l = -39. Calculate the remainder when 37 is divided by z.
11
Let n = 35 - -14. What is the remainder when n is divided by 25?
24
Suppose 0 = 4*g - 4*f - 24, -4*g - 3*f + 5*f + 30 = 0. Let j be (7/(-21))/((-2)/12). Calculate the remainder when 255/10 + j/4 is divided by g.
8
Let t = -2 - -6. Calculate the remainder when 163/t - (-2)/8 is divided by 42/4*(-12)/(-9).
13
Suppose 6*u + 2*g = 2*u + 78, 3*u - 3*g - 63 = 0. What is the remainder when 56 is divided by u?
16
Let w(h) = -9*h + 1. Let q be w(1). Let v = -6 - q. Suppose 2*a - 10 = -0*a. Calculate the remainder when a is divided by v.
1
Let m(v) = -v**3 - 9*v**2 - 7*v + 10. Let d be m(-8). Suppose -d*z + 2 = -2. Let c = -7 + 10. Calculate the remainder when c is divided by z.
1
Let v(h) be the first derivative of h**3 - 4*h**2 + 4*h + 10. Calculate the remainder when 78 is divided by v(4).
18
Let w = -4 - -7. Suppose 0 = -w*h - 2 - 1. What is the remainder when ((32 - 1)*h)/(-1) is divided by 11?
9
Let j = -2 - -6. Suppose -j*r = -6*r + 52. Calculate the remainder when 103 is divided by r.
25
Suppose 5*l - 2*x - 18 = 0, l + l - 2*x = 6. Let t(q) = 2*q**2 - 2*q + 2. Calculate the remainder when t(l) is divided by 14.
12
Let o(b) = -9*b + 3 + 80*b - 2. Let p be o(1). Suppose -p = -2*u + 5*x, 4*u - 6*x + x = 124. Calculate the remainder when u is divided by 9.
8
Let s(b) = -b**2 - 5*b - 3. Let n be s(-3). Suppose 3*p - 33 = 5*l, 33 = n*p + 7*l - 3*l. Calculate the remainder when 41 is divided by p.
8
Let r = 52 - 43. Calculate the remainder when 13 is divided by r.
4
Suppose 2*k - 36 = -2. Calculate the remainder when 99 is divided by k.
14
Let v(u) = 9*u**2 - 3*u - 1. What is the remainder when v(3) is divided by 25?
21
Let n be (1 + 8)*1/3. What is the remainder when 1001/21 - 2/n is divided by 25?
22
Let h = 44 + -12. What is the remainder when 93 is divided by h?
29
Let g = 17 - -42. Suppose -c + 2*v + 5 + 10 = 0, 0 = -5*v. What is the remainder when g is divided by c?
14
Let j = -149 + 150. Let n be 0 + 2 - (-5)/5. Suppose -3*v = -b - 9, -2 = n*v - 14. What is the remainder when b is divided by j?
0
Let p(d) be the first derivative of -2*d**3/3 - d**2/2 + 2*d - 1. Let a(i) be the first derivative of p(i). What is the remainder when 4 is divided by a(-1)?
1
Suppose -8*l - 31 + 319 = 0. Calculate the remainder when 140 is divided by l.
32
Let y(c) = 6*c**2 + 3*c. Suppose -4*j + 6*j + 4 = 0. Let n be y(j). What is the remainder when 4/(-6)*(-459)/n is divided by 5?
2
What is the remainder when (-7)/(-42)*-3 - (-39)/6 is divided by (-3)/(-1 - (1 + -1))?
0
Let z = 17 - 12. Let f = z - -14. Calculate the remainder when 37 is divided by f.
18
Let v(m) = m**3 - 6*m**2 + 3*m + 2. Let k = 9 + -5. Suppose k*i - 130 - 106 = 0. What is the remainder when i is divided by v(6)?
19
Let y = 83 + -58. Calculate the remainder when y is divided by 18.
7
Suppose 0 = 3*y + 5*l - 8, 2*y - 5*l + 22 + 6 = 0. Let t be (y/6)/(3/18). Let w(u) = -u**3 - 4*u**2 - u - 1. What is the remainder when w(t) is divided by 3?
0
Let z(s) = s**3 + 7*s**2 - 3*s - 1. Let u be z(-7). Suppose 18 = 2*f + 5*x, f + 4*x = 7*x + u. Calculate the remainder when f is divided by 4.
2
Suppose -5*c + 3*c = 4*d - 56, -56 = -4*d + 5*c. | {
"pile_set_name": "DM Mathematics"
} |
d**6 + 35*d**2 - 620986*d wrt d.
-9247944600*d**3
Find the first derivative of -2*c**3*t - 874763763*c**3 + 4387*t**3 + 490*t**2 wrt t.
-2*c**3 + 13161*t**2 + 980*t
What is the first derivative of 2374068*q**4 + 3*q - 31370360 wrt q?
9496272*q**3 + 3
Differentiate -367580295*h**3 + 46516163.
-1102740885*h**2
Find the second derivative of 7054*k**3 - 418*k**2 + 16066321*k wrt k.
42324*k - 836
What is the third derivative of -259*g**2*l**3 + 2*g**2*l**2*m + 127*g*l**3*m + 2*g*l**2*m + 116065*g*l**2 + 4*g*l - 9*g*m - 28*l**3*m - 2 wrt l?
-1554*g**2 + 762*g*m - 168*m
Differentiate -1626692*v**2 + 5201754 wrt v.
-3253384*v
Find the third derivative of 4*o**4*u + o**3*u - 114838*o**3 - 4*o**2*u - 7*o**2 + 13504*o*u + 2*o - 2*u wrt o.
96*o*u + 6*u - 689028
Find the third derivative of -3*z**5 - 29738*z**4 + 1887585*z**2.
-180*z**2 - 713712*z
What is the derivative of -129502194*l**3 + 149513219?
-388506582*l**2
What is the second derivative of -159875893*g**2*z - 25792*g + 26*z + 6 wrt g?
-319751786*z
Find the first derivative of 901026830*v - 571070875 wrt v.
901026830
What is the derivative of 2*b**3*f + 230*b**3*n + 218*b**2*f**3 - 451*b*f**3*n + 9*b*f + 4*f*n + 258*f wrt n?
230*b**3 - 451*b*f**3 + 4*f
What is the third derivative of -34416816*y**4 - 4893*y**2 - 4429?
-826003584*y
Find the first derivative of 647707*y**2 + 177*y - 372473768.
1295414*y + 177
What is the second derivative of 1454910*d**4 + 4*d**3 - 7969364*d wrt d?
17458920*d**2 + 24*d
What is the second derivative of 2456205*t**5 - 8*t**2 - 19*t + 1782495?
49124100*t**3 - 16
Differentiate i*o*z - 2*i*o - 721*i - 1675*o*z + 28*o + 224*z wrt o.
i*z - 2*i - 1675*z + 28
Find the second derivative of -1928*l**4 - 9707*l**3 - 2*l**2 - 738930839*l.
-23136*l**2 - 58242*l - 4
What is the first derivative of a*p**2*t - a*p**2 + 78162*a*p - a - 230*p**2*t + p**2 - 2*p*t + t + 700 wrt a?
p**2*t - p**2 + 78162*p - 1
Find the third derivative of -d**5 - 160*d**4 + 5725*d**3 - 9511606*d**2 wrt d.
-60*d**2 - 3840*d + 34350
Find the second derivative of -468152777*f**3 - 605144374*f.
-2808916662*f
Find the third derivative of 85766054*m**4 - m**2 + 39*m + 239855 wrt m.
2058385296*m
What is the third derivative of 2*d**5*g - 5989903*d**3*g**2 + d**2*g**2 + 2*d**2 - 205196*d*g**2 + 2*d wrt d?
120*d**2*g - 35939418*g**2
What is the second derivative of -147274*j**3 + 57*j**2 + 52307775*j wrt j?
-883644*j + 114
Differentiate -530807*t**3 + 22*t**2 - 14684645 wrt t.
-1592421*t**2 + 44*t
What is the first derivative of -7332462*i + 6038849?
-7332462
Find the second derivative of 556*t**4 - 72*t**3 - 7*t - 109828.
6672*t**2 - 432*t
Find the first derivative of 3*l*u**3 + 4*l*u**2 + 7*l*u + 412560*l - 250075293*u**3 wrt l.
3*u**3 + 4*u**2 + 7*u + 412560
What is the second derivative of -620375099*r*u**2 + 1933*r*u - 47376*r + 2*u wrt u?
-1240750198*r
What is the second derivative of 3*o**2*v*z - 123*o**2*z**2 + o**2 - 7*o*v**2 + o*z + 1314*v**2*z**2 - 158*v**2*z + 8*z**2 - 11 wrt z?
-246*o**2 + 2628*v**2 + 16
What is the second derivative of 33834324*z**3 - 97008438*z wrt z?
203005944*z
Find the first derivative of -m**3 + 6239*m**2 + 381*m + 55168130 wrt m.
-3*m**2 + 12478*m + 381
What is the third derivative of -13092190*z**3 + z**2 - 100*z - 12050?
-78553140
What is the second derivative of -2*c**2*q**2 + 9*c**2*q*x + 2*c*q*x**2 - 3*c*q*x - c - 68*q**2*x**2 + 13905*q**2*x + q*x + 7*q wrt q?
-4*c**2 - 136*x**2 + 27810*x
What is the first derivative of -28107190*i**4 - 967433589?
-112428760*i**3
What is the second derivative of -3*a*g**2*x + 180*a*x**3 - 416*a - 17*g**2*x**2 + 2*g**2*x + 6*g**2 + 9*x**3 + 18 wrt x?
1080*a*x - 34*g**2 + 54*x
Find the first derivative of 165997563*l + 364758427.
165997563
Differentiate -22159*h**2*w**2 - h**2 - 32*h*w**2 + 12334810*w**2 wrt h.
-44318*h*w**2 - 2*h - 32*w**2
Differentiate -5530900*q**2*v + 8174*q**2 - 343*q with respect to v.
-5530900*q**2
Find the second derivative of 1141*h**5 - 58*h**4 + 10*h**2 - 337613*h + 40 wrt h.
22820*h**3 - 696*h**2 + 20
Find the second derivative of 1015*p**3 + 84581*p**2 - 19195575*p + 4.
6090*p + 169162
Find the third derivative of 19*a**4 + 3045573*a**3 + 16*a**2 - 1640740.
456*a + 18273438
What is the second derivative of 64124631*c**2 - 64341403*c wrt c?
128249262
What is the third derivative of 21633*o**3*p**2 - 706*o**3*p - 4*o**3 + 703*o**2*p**2 - 1698*o**2 + o*p + 2*o + 2*p - 6 wrt o?
129798*p**2 - 4236*p - 24
What is the derivative of p**3 - 3*p**2 + 136640001*p + 716556061 wrt p?
3*p**2 - 6*p + 136640001
What is the derivative of 13*f*g**3 - 16*f*g**2 - 88*f*g*i**2 - 3*f - 283640*g**3*i**2 + 2*g**3 - 3*g + 635 wrt i?
-176*f*g*i - 567280*g**3*i
What is the derivative of 13*p**2*x**2 + 396891*p**2 + p*x**2 + 53579129*x**2 wrt p?
26*p*x**2 + 793782*p + x**2
Differentiate -21*n**4 - 2045121*n**2 - 640671081 wrt n.
-84*n**3 - 4090242*n
What is the second derivative of b*h**4 - 36*b*h + 18363*b - 6391218*h**5 - 1 wrt h?
12*b*h**2 - 127824360*h**3
Find the second derivative of 7404*f**2*r + 1258*f**2 + 25558*f*r - f + 38 wrt f.
14808*r + 2516
What is the second derivative of -11507145*v**4 - 2*v**3 + 7718374*v + 31 wrt v?
-138085740*v**2 - 12*v
Find the third derivative of 28648685*b**5 - b**2 + 116873 wrt b.
1718921100*b**2
What is the derivative of 2*c**2*l - 2*c**2 + 60*c*l + 151632*c + 7855*l + 20 wrt l?
2*c**2 + 60*c + 7855
Find the third derivative of 2898206*v**3*z**2 - 28*v**2*z**2 - 8*v**2*z + z**2 - 2*z + 8 wrt v.
17389236*z**2
What is the third derivative of 2*d**4*u + 11136736*d**3 + 2*d**2*u + 897*d**2 - 6498 wrt d?
48*d*u + 66820416
What is the third derivative of -94364*v**4 + 420*v**3 + 66*v**2 - 67*v + 1222?
-2264736*v + 2520
What is the second derivative of -66580707*x**2 + 1199173*x - 34 wrt x?
-133161414
Find the second derivative of 15349746*z**3 + 40599127*z wrt z.
92098476*z
Find the third derivative of -5*o*s**3*u**3 - 78*o*s**2 - 10*o*s*u**3 + 559*o*u**3 - 15064391*s**3*u**3 wrt s.
-30*o*u**3 - 90386346*u**3
Differentiate 48847858*b**3 - 13359564.
146543574*b**2
Find the second derivative of -60999241*w**4 + 57*w + 176132.
-731990892*w**2
What is the derivative of -486057*l**3*q + l**3 - l*q - 3086542*l + 2*q wrt q?
-486057*l**3 - l + 2
What is the first derivative of 82890712*m**3 - 64782955?
248672136*m**2
Find the first derivative of 83077341*l**2 - 1140274572.
166154682*l
What is the third derivative of -11950394*b**4 + 6*b**3 + 19*b**2 - b - 2250855?
-286809456*b + 36
Find the second derivative of 542756*w**4 + 55*w**3 + w**2 + 130170873*w wrt w.
6513072*w**2 + 330*w + 2
Differentiate 35968101*t**2 - 2*t + 47856494 wrt t.
71936202*t - 2
Find the second derivative of -109528085*b**4*r + 109939*b*r + 53 wrt b.
-1314337020*b**2*r
Find the first derivative of 25442283*x - 174233386 wrt x.
25442283
What is the third derivative of 11080716*h**3*i**2 - 2*h**2*i**2 + 12*h**2*i - 52*h**2 - 751*h*i**2 wrt h?
66484296*i**2
Differentiate 1012214855*s*w - 700*s + 182357 with respect to w.
1012214855*s
Find the second derivative of 356*f**3*p*z + f**2*p*z**3 - 2112*f**2*p + 2575*f*p + 6*p*z - 229*z**3 wrt f.
2136*f*p*z + 2*p*z**3 - 4224*p
Find the first derivative of -26*l**3*n - 2*l**3 - 122065*l**2*n**2 - 22369*l**2 - 57 wrt n.
-26*l**3 - 244130*l**2*n
What is the second derivative of -7273*m**4 - 2*m**3 - 86*m**2 - 4*m + 926877 wrt m?
-87276*m**2 - 12*m - 172
Find the first derivative of 2*j*l*s + 303*j*l - 2*j*s**2 - 10*l*s**2 - 1661*l - 483136*s**2 - 24*s wrt l.
2*j*s + 303*j - 10*s**2 - 1661
Find the third derivative of -4*n**5 + 12032515*n**4 + 197990370*n**2 wrt n.
-240*n**2 + 288780360*n
What is the second derivative of -20042787*a**5 - 32454519*a?
-400855740*a**3
What is the third derivative of -38*n**3*x**3 - n**3*x**2 - 55*n**3 + 166*n**2*x**3 + n**2*x**2 - n**2*x + n + 44*x**3 + 32492*x**2 wrt x?
-228*n**3 + 996*n**2 + 264
Find the third derivative of 168516009*g**3 - g**2 - 4109232*g + 3.
1011096054
What is the first derivative of 2*m*t**2 - 53073*m*t*x - 68*m - 38*t**3*x - 380*t**3 + 2*t wrt x?
-53073*m*t - 38*t**3
Find the first derivative of 39418829*n**2 + 73891 wrt n.
78837658*n
Find the second derivative of 99192993*w**2 + 14936013*w wrt w.
198385986
Find the second derivative of -682894 | {
"pile_set_name": "DM Mathematics"
} |
t 1?
True
Let u = 221 + -221.2. Which is smaller: 10 or u?
u
Let p(u) = u**3. Let n be p(2). Let k be n/(-28) - 136/14. Suppose a + j + 6 = 0, a + 5*j = 2 + 4. Which is bigger: k or a?
a
Let a(d) = -d - 2. Let g(v) = 3*v + 5. Let b(j) = -8*a(j) - 3*g(j). Let x be 8*2*(-3)/(-8). Let k be b(x). Is k less than -6?
False
Let x be 10/(-4)*2 + 1. Let j = x + 0. Suppose -3*f + 32 = -5*t, 2*f - 28 = -0*t + 5*t. Is j != t?
False
Let d = -23.8 - -24. Let q = 0.1 - d. Let n = -3/5 + 29/15. Which is smaller: q or n?
q
Let j(h) = 5*h**2 + h - 2. Let g be j(1). Suppose -11 = r - g*n, r - 6*r - 33 = 2*n. Suppose 2*p + 35 = -5*z, z + 35 = -4*z + 2*p. Is r >= z?
True
Suppose 0 = 2*b + 3*f + 6, 5*b + 3*f = 2*b - 6. Let t be b/((-1)/(-3 - -3 - -1)). Is t >= 1/2?
False
Let l(b) = b**2 - 11*b + 12. Let m be l(10). Suppose -m*v = v - v. Is 2/5 not equal to v?
True
Let w be (-1)/((3/(-40))/(1674/(-2015))). Which is smaller: -11 or w?
w
Let y = -5/81 + -2501/162. Which is bigger: y or -16?
y
Let a(g) = -2*g - 5. Let y(v) = -3*v - 5. Let u(x) = 4*a(x) - 3*y(x). Let c be u(-3). Is -8 at most c?
True
Let l = -6527/14 + 466. Let r(y) = -y**3 - 17*y**2 - 16*y + 1. Let u be r(-16). Which is bigger: l or u?
u
Let n = -183 - -186. Is n greater than 31?
False
Let y = -20.3 + 20.4. Which is bigger: y or 14/3?
14/3
Let y = 0.8 + 0. Let t = y + -0.9. Is -40 >= t?
False
Let i be -4 - (3/(-6) + (-5)/2). Which is smaller: -1/7 or i?
i
Suppose -5 = 3*p + y - 7, -2*y = 3*p - 1. Are p and 36/53 unequal?
True
Let k be ((-5)/(-3))/((-42)/(-1386)). Is k less than or equal to 54?
False
Suppose -35*w + 5*u - 16 = -34*w, 10 = -w + 3*u. Is -1/32 less than or equal to w?
False
Let j be 595/(-1198) + (-9)/(-18). Are 0 and j non-equal?
True
Let o = -241 + 242. Suppose -2*y = -5*y + 21. Which is greater: o or y?
y
Let q = -1626 - -13011/8. Which is smaller: 7 or q?
q
Let c = 15.7 - -2.3. Let g = c - 10. Let r = g + -14. Is 1 > r?
True
Let q be ((-3)/(-5))/(15/(-75)*148). Are q and 0 non-equal?
True
Suppose 0 = -5*o + 3*y + 95, -2*o + y = 2*y - 49. Let g = 12 + o. Let i be 2 + -5 - (-106)/g. Are i and 0.1 equal?
False
Suppose 2*s + 41 = -3*f, s = -3*s + 2*f - 122. Let z be (6/s)/((-6)/7). Which is greater: z or 0.2?
z
Let i = 1057/3 - 352. Which is greater: -5.79 or i?
i
Let b be 138/(-217) + 24/42. Which is bigger: -0.9 or b?
b
Let b be (10/(-70)*7)/(-311). Which is bigger: -1 or b?
b
Let a be (-1 + 15/10)*12. Let o be ((120/(-18))/10)/((-4)/a). Which is smaller: -3/58 or o?
-3/58
Suppose -k - 4*w - 12 = 0, -2*k - 6 = -0*w + 2*w. Are k and -4/41 non-equal?
True
Suppose 50 = 6*b - 358. Is 68 >= b?
True
Let q = 5 + -7. Suppose -5*l = -2*l - 12. Let h be (-23)/10 - (-6)/l. Is q > h?
False
Let q = 191/21 + -66/7. Which is bigger: 1.03 or q?
1.03
Suppose 3*s = 5*s - 30. Suppose 3*a - 67 = -3*j + 74, 3*j = -s. Let h be (-3)/2 + 94/a. Is 1 not equal to h?
True
Let l(d) = -d**2 - 6*d. Let q(a) = -a - 16. Let c be q(-11). Let p be l(c). Let w be ((-1)/p)/((-1)/2). Which is smaller: 3 or w?
w
Suppose 4*t + 76 = -0*t. Let g(q) = q**3 + 6*q**2 - 4*q. Let p be g(-6). Let m be t + 15 - p*-1. Which is smaller: 19 or m?
19
Let l(x) = 2*x + 4. Let i(t) = 1. Let k(p) = -i(p) - l(p). Let s be k(-9). Is s at least 11?
True
Let w = -290 - -290.117. Let l = w - 2.117. Is l >= 4/15?
False
Let a = -39 + -65. Let b = 103 + a. Which is bigger: 4/5 or b?
4/5
Let r = 266 - 259. Are r and 12 equal?
False
Let b = -306 - -303. Which is smaller: b or -0.05?
b
Let h(b) = 3*b**2 - 2*b + 3. Let l be h(2). Let j = l + -9. Suppose -5 = -j*a - 3. Do 1/30 and a have the same value?
False
Suppose 32*t = 79*t + 188. Which is smaller: -231 or t?
-231
Let r = 2773/178437 - 5/879. Is -1 greater than r?
False
Let a = 492637/8981 - -5/1283. Which is greater: a or 55?
55
Suppose 26*g - 22*g = -8. Let s be (-992)/112 + g/14. Which is greater: s or -10?
s
Let t be (-6)/(-57) + 2563/1463. Which is greater: -5 or t?
t
Let q(c) = -c**3 - 5*c**2 + 18*c - 35. Let d be q(-8). Suppose -5 = -3*f - 2*b, 4*b = f - 0*f + 17. Is d at least f?
True
Let z(i) be the third derivative of i**4/12 + i**3/3 + 6*i**2. Let q be z(-8). Let n = q + 25. Which is greater: 10 or n?
n
Let b(i) = -4 + 2*i - 7*i + 5. Let n be b(1). Let p = 92 + -98. Is n >= p?
True
Let p = 32 - 29.7. Let h = p - 4.1. Do h and 1 have different values?
True
Let u = -0.0656 - -2.0656. Is 0.279 greater than or equal to u?
False
Let x = -92 + 65. Let o = x + 41. Let d be (-4)/o - 12/(-189). Which is bigger: d or 1?
1
Suppose -6*s - 5*i = -4*s - 160, 4*s - 320 = -3*i. Let o be (-6)/27 - s/(-36). Is o at least as big as -0.02?
True
Let i be -5 - -7 - (-2 + 1). Suppose -7 - 2 = h + 3*u, 0 = 4*h - 5*u - 15. Suppose h = 5*o - 1 - 9. Is i equal to o?
False
Let m = 4 - 3. Let s be 180/(-16) + m/4. Let v be 2/4 - (-69)/(-6). Do s and v have the same value?
True
Let j = 27 - 25. Let r be (6 - 3) + j + 0. Let g be (1 - 2)*(r + -6). Is g less than or equal to 13?
True
Suppose -y + 3*f + f - 26 = 0, -4*y + f - 179 = 0. Let j = 13 + y. Is -32 >= j?
True
Suppose 4*a + 5*u = -24, -3 + 4 = a + 3*u. Let r = -38 - a. Which is greater: -28 or r?
r
Let l = -110 + 114.7. Let j = -5 + l. Which is greater: j or -0.01?
-0.01
Let c be 19 - (25 + -5)/5. Let f be ((-103)/c - (-20)/(-150))*-1. Is 9 bigger than f?
True
Let n(p) = p - 4. Suppose -2*m + 2*o + 120 = 3*m, 3*m - 71 = o. Suppose 2*l + 3*w + 2 = 7*w, m = 4*l + 5*w. Let s be n(l). Is s < 0?
True
Suppose -4*d = -93 + 97. Is d greater than or equal to 3/277?
False
Let o be -2*(60/50)/((-8)/30). Let l be o/(-6)*12/45. Is 28 at least as big as l?
True
Let a be 114*(-10)/(-60) - 9. Let d(v) = 6*v. Let m(k) = 5*k + 1. Let n(w) = -3*d(w) + 4*m(w). Let z be n(3). Do a and z have different values?
False
Let d be (1 - -74)/(6 - (-255)/(-40)). Are -801/4 and d equal?
False
Suppose 2*v + 2*z - 7*z = 235, -122 = -v + 4*z. Does v = 109?
False
Suppose 5*u - 3*u = 0. Let w be ((-2)/5)/(9/(-720)). Is u greater than or equal to w?
False
Let x = -10/19 + 205/209. Is -1 greater than x?
False
Let d(t) = 4*t + 7. Let u(j) = -11*j - 20. Let o(v) = -17*d(v) - 6*u(v). Let s be o(-1). Let r be (-2 - -8)/s + -4. Is -2 at least as big as r?
True
Let r be (0 - 45)*48/(-18). Let h be ((-18)/8)/((-5)/r). Let q be (6/5)/(h/180). Is 3 greater than or equal to q?
False
Suppose 6 = -2*k + 2*v, -6*v = -3*k - 5*v + 1. Suppose -k = -i + 1. Suppose i*g - 4 = -4*b + 7, -5*g = -25. Is 0 greater than or equal to b?
True
Let l = 0.84 - -1.16. Let q = -52 - -50. Is q at most as big as l?
True
Let q(p) = -p**2 - 2*p + 8. Let d be q(0). Suppose -4*m + 4*l + d = -2*m, 3*m + 2 = -l. Let i = 171/905 - -2/181. Is i <= m?
False
Let n = 762 - 2083. Is n greater than or equal to -1320?
False
Let u(m) = -11*m**3 + 4*m**2 + 8*m + 7. Let y = -4 - 1. Let s(v) = 7*v**3 - 3*v**2 - 5*v - 5. Let t(o) = y*u(o) - 8*s(o). Let r be t(4). Are r and 4 equal?
False
Let g = -663 - -655. Which is greater: 8 or g?
8
Let w(n) = -n**2 - 39*n - 44. Let r be w(-40). Which is smaller: r or -2?
r
Let j = 126 + -118. Let l be (-11)/((-44)/j) + -9 + -1. Is -8 less than or equal to l?
True
Let w be (-12)/(-7) + -2 + (-1452)/(-84). Suppose -2*i + 4*f - w = 17, 3*f = -i + 8. Which is smaller: i or -1?
i
Let q = 156/61 - 25316/549. Which is bigger: q or 0.1?
0.1
Let v(n) = 22*n**2 + 15*n - 62. Let q be v(4). Which is smaller: q or 349?
349
Suppose l - 16 = y, 5*y = -3*l + 38 - 134. Let u be (y/45)/(2/40). Which is greater: u or -3?
-3
Let h(c) = c**3 - 12*c**2 + 2*c - 23. Let g be h(12). Is g at least as big as -2?
True
Let u = 145 + -69. Suppose -5*w + 8 = 4*g - 0*g, -w + 2*g = 4. Let k be w - u/28 - -3. Which is greater: 3 or k?
3
Suppose 4*w = -12 + 12. Is w equal to -12/13?
False
Suppose 5*g + 19 + 6 = 2*q, -3*g = 15. Suppose -4*t - 5*h - 66 = q, -4*h - 50 = 4*t - t. Let c be (-8)/(-16) - (-3)/t. Which is smaller: c or -0.2?
-0.2
Suppose 0 = -4*k + 14 + 6. Suppose k = -5*t, 0*l + 4*t - 20 = -3*l. Suppose -7*j - l = -3*j. Is 0.4 at most as big as j?
False
Let x(c) = -c**3 - 9*c**2 + 7*c - 28. Let d be x(-10). Suppose -q + 67 = 4*z - 6*q, -d*z + q + 29 = 0. Is 10 at most as big as z?
True
Let y(u) = 3*u**2 - 2*u**3 + u - 3 + 3*u - 2 + u**3. Let o be y(2). Let n = o + -7. Is 2/19 at most n?
False
Let l = -0.0305 + -0.0895. Is l at least as | {
"pile_set_name": "DM Mathematics"
} |
6 + 15*h + (-1 - 1 + 1)*(-4*h + 3*h + 4*h) + 4*h + 3*h - 11*h.
8*h + 44
Expand (40 - 4*v**2 + 5*v**2 - 3*v**2)*(-2 + 7 + 0 + 2 + 0 + 0 - 4 + 3 - 1 + (-1 + 1 - 1)*(-3 + 1 + 0) - 2 + 0 - 1 - 1 + 3 - 1).
-10*v**2 + 200
Expand (-3160404 + 3160404 - 6*z - 249*z**2 + 4*z**3)*(z**2 - 2*z**2 + 0*z**2).
-4*z**5 + 249*z**4 + 6*z**3
Expand (270*s + 262*s - 47*s**2 - 532*s + 3310*s**2)*(4*s**2 - 3*s**2 - 3*s**2).
-6526*s**4
Expand (-1 + 2 + 1 + (1 + 2 - 5)*(-3 + 3 - 2) - 2 - 1 + 5 - 5 + 1 + 2)*(2 + 2 - 7)*(-8*u**2 - 10*u**2 - 3*u**2)*(-11 + 11 + u**2).
378*u**4
Expand (3*i + 0*i - i)*(6234*i + 2346*i - 551*i - 778*i).
14502*i**2
Expand (-4*k + 4*k - 5*k)*(-17615*k - 796 + 264 + 17617*k).
-10*k**2 + 2660*k
Expand (-u**2 - u + u)*(3*u**3 - 150*u + 465*u**2 - 462*u**2 - 2*u**3 + (u**2 - 3*u**2 + 4*u**2)*(-4*u - 2*u + 3*u)).
5*u**5 - 3*u**4 + 150*u**3
Expand (v**2 + 2*v**2 - v**2)*(-2 + 0 + 9) - 11*v**2 + 4*v**2 + 14*v**2 - 90*v - 64*v.
21*v**2 - 154*v
Expand (269*v + 23*v**2 - 269*v)*(5 - 10 + 3*v + 7)*(-1 + 1 + 3).
207*v**3 + 138*v**2
Expand (o**2 - 3*o**2 + 6*o**2)*(-257236 + 1138*o**2 + 1944*o**2 + 257236 - 667*o**2).
9660*o**4
Expand (-2 - 1 - 3)*(-m - 2 + 2) - 10*m + 17*m - 4 - 8*m + 5*m + 4*m - 2*m.
12*m - 4
Expand (-19*o - 522 + 522)*(-4*o - 3*o + 4*o)*(-5 + 2 - 4).
-399*o**2
Expand (v**2 - 5*v**2 + 2*v**2)*(-5 - v**3 + 5)*(3 - 2 + 1) + (387 - 58*v - 387)*(2*v - 2 + 2)*(-5*v**3 + v**3 + 2*v**3).
236*v**5
Expand (3*j**2 - 2 + 5 - 18)*(-j + j - 2*j**2)*(-5 - 2 + 5)*(-4*j - j + 3*j).
-24*j**5 + 120*j**3
Expand (-5*y + y - 5 + 2*y)*(-262 + 264*y + 262).
-528*y**2 - 1320*y
Expand (7 - 20 + 7)*(-85 - 4*p + 79 + 8*p)*(-5*p + 0*p + 3*p)*(-p**2 + 0*p + 0*p).
-48*p**4 + 72*p**3
Expand 107*v + 16*v + 15*v + (4 - 5 + 2)*(2*v + v - 6*v).
135*v
Expand (316 - 2*f + 4*f + 256)*(2*f + f - 4*f) + 4*f - 5*f + 3*f + f**2.
-f**2 - 570*f
Expand -22*r - 19*r**4 + 22*r + (2*r**3 - 4*r**3 + 3*r**3)*(3*r + 0*r - r) - 39*r**4 - 28*r**4 + 21*r**4 - 2*r**3 + 4*r**4 + 2*r**3.
-59*r**4
Expand (-6*k + 6*k - 2*k**3)*(0 + 3 - 5) + (-4 - 10 + 15)*(-k**3 + k**3 - k**3) + (3*k + 2*k + k)*(k + 5*k - 5*k)*(4*k - 3*k + k).
15*k**3
Expand (4*o - 13*o**3 - 10*o + 19*o)*(-2*o - 2*o - o)*((-3 + 3 + 2)*(-2*o - 1 + 1) + o + 4*o - 4*o).
-195*o**5 + 195*o**3
Expand 2*m - m + m + 2*m + 3*m - 3*m + (1 + m - 1)*(3 + 3 - 4) - m - 1 + 1 - 3*m - m + 3*m + 3*m + 10 - 10 + (-2 - 3 + 4)*(-2 + 2 + 2*m).
5*m
Expand (-5*y + 0*y + 4*y)*(0*y - 2*y + 6*y) + (-1 + 1 + 2*y)*(4*y - 3*y + y) + 0*y**2 - y**2 + 2*y**2 - 425*y**2 - 150*y**2 + 56*y**2 - 141*y**2.
-659*y**2
Expand -924*j**4 - 16546 + 16546 + (-j**2 - 8*j**2 + 0*j**2)*(3*j**2 + 0*j**2 - j**2).
-942*j**4
Expand (0*o**2 + 2*o**2 + 0*o**2)*(4 - 4 - 2*o) - 58*o**3 - 11 + 9*o**3 + 156*o**3.
103*o**3 - 11
Expand (2*f + 254 - 129 + f**2 + 223)*(4*f**2 - 10*f**2 - 4*f**2).
-10*f**4 - 20*f**3 - 3480*f**2
Expand r**4 + 20*r**4 - 22*r**4 + 30*r**3 + (10*r**3 + 7*r**3 + 16*r**3)*(0*r + r - 2*r).
-34*r**4 + 30*r**3
Expand -n**5 - 4*n**5 + 3*n**5 + (-n + n - n**3)*(489*n**2 - 49*n**2 - 136*n**2).
-306*n**5
Expand (3*y**2 - 186*y + 93*y + 95*y)*(-68*y + 6 - 6) + (-4*y + 4*y + y)*(2*y**2 + 3 - 3).
-202*y**3 - 136*y**2
Expand ((4 + 6 - 5)*(-3 + 3 + 5*d**2) + (d**2 + 0*d**2 + 0*d**2)*(2 + 3 - 3) + 2*d**2 + 3*d**2 - 4*d**2 + 1 - 1 - d**2)*(915 + 965 - 1743).
3699*d**2
Expand (-213 + 41*i + 213)*(9*i - 88 - 2*i - 6*i).
41*i**2 - 3608*i
Expand (-1 + 0 - 1)*(-1061*h - 1051*h + 2090*h + (0 + 2 - 4)*(-6*h + 2*h - 3*h)).
16*h
Expand (-1 + 2*y - 4*y + y)*(11 - 14*y - 11)*(-2*y - 2 + 2) + 7404*y**2 + 22*y - 7405*y**2 - 3*y**3 + 2*y**3.
-29*y**3 - 29*y**2 + 22*y
Expand (-7*z**2 - 2 - z + 7*z**2 + 3*z**2)*(-9492 + 289*z + 9492)*(1 + 0 + 2).
2601*z**3 - 867*z**2 - 1734*z
Expand (2115 - 2115 + 530*j + 15*j)*(8 - 8 - 4*j).
-2180*j**2
Expand (-8*a**2 - 42 + 2*a + 42)*(38*a + 16*a - 2*a) - a**3 + 0*a**3 + 0*a**3.
-417*a**3 + 104*a**2
Expand (-47*p + 2152 - 2152)*((0 + 0 + 2*p)*(4 - 4 - 1) - 11 - 8 + 27*p + 18)*(4 - 3 + 0).
-1175*p**2 + 47*p
Expand 138319 + b - 68812 - 69015 + (0*b + b - 3*b)*(-2 + 3 + 0).
-b + 492
Expand (-6*f - 4*f - 1 + 17*f)*(-f - 2847*f**2 - 5 + 2845*f**2 + 7*f).
-14*f**3 + 44*f**2 - 41*f + 5
Expand -145*m + 74*m + 56*m - 3*m + 3*m + 3*m + (2 - 5 - 1)*(2*m - 7*m + 4*m).
-8*m
Expand 63*d**4 + 853*d**5 + 27*d**4 - 86*d**4 + d**4 - d**5 - d**4 + (-d + 3*d - 3*d)*(-2*d**4 + 2*d**4 + 2*d**4) - 2*d**5 + d**5 + 0*d**5.
849*d**5 + 4*d**4
Expand (-3 + c + 3)*(-24 + 4 - 8) - 38*c + 1 + 47*c + 78*c.
59*c + 1
Expand -2 + 2 - 2*q**5 + (-2*q**4 + 10*q**3 - 10*q**3)*(2*q + 2 - 2) - 3550*q**4 + 3550*q**4 - 171*q**5 + 2*q**5 + 4 - 4 + 2*q**3.
-175*q**5 + 2*q**3
Expand (-5 - 49 + 13 + (5 - 5 + 1)*(2 - 6 + 3) + 4 - 1 - 1 + 14 - 5 - 15)*(-2*q + q - q).
92*q
Expand 56*y**5 - 43 + 43 + (-2*y - y + 5*y)*(-3*y**2 - y**4 + 3*y**2) + (5*y**3 - 15*y**3 + 52*y**3)*(-5*y**2 - 2*y**2 + 6*y**2).
12*y**5
Expand (-162 + 226 + 290)*(-2 + 1 + 3)*(7*v**3 - v**3 - v**3).
3540*v**3
Expand (-9576*n**2 + n - 6*n + 9451*n**2)*(-2*n**2 + n**2 + 0*n**2).
125*n**4 + 5*n**3
Expand (-51*h + 33*h - 54*h)*(-5*h**2 + 19*h**2 - 5*h**2 + (-2*h + 4*h - 3*h)*(-4*h + 5*h - 2*h)).
-720*h**3
Expand (-5 + 2*j + 5)*(j - 2*j + 3*j + (1 - 2 + 7 + (-1 + 3 - 4)*(2 + 0 - 1) - 3 + 2 - 1 - 2 + 1 + 0 - 11 + 11 + 125)*(5*j - 4*j + 0*j)).
256*j**2
Expand (5*t + 4*t + 0*t)*(14*t - 12*t - 20 + 19).
18*t**2 - 9*t
Expand 10*u - 99*u**3 + 204*u**3 - 103*u**3 - 2*u**2 + 1 + (-u + 4*u - u)*(8*u**2 + 15*u**2 + 14*u**2).
76*u**3 - 2*u**2 + 10*u + 1
Expand 5*m**4 + 7*m**4 - m - 16*m**4 + (-1 + 1 + 1)*(101*m - 28*m**4 - 101*m).
-32*m**4 - m
Expand 10*v - 10*v - 4*v**5 + 3*v**5 - 5*v**5 + 3*v**5 + (3*v + 6*v - 4*v)*(160*v**4 - 22*v**4 - 68*v**4).
347*v**5
Expand 4*y**2 + 3*y**2 - 3*y**2 - y**2 + 4*y - 4*y - 2*y**2 + y**2 + 0*y**2 + (y - 2*y + 3*y)*(-2*y - 5 + 5) + 183*y**2 + 26*y**2 - 15*y**2 - 1.
192*y**2 - 1
Expand (-2*w**2 + 6*w**2 - w**2 + (-2*w - 4*w + 2*w)*(-4 + 4 - 4*w))*(3*w - 9*w - 2*w) + 3*w**2 - 2*w**3 - 3*w**2.
-154*w**3
Expand (-37*j**2 - 5*j**3 + j**2 + 5*j + 43*j**2)*(j + 2*j + 4*j + (-5*j + 3*j + j)*(3 - 1 + 0)).
-25*j**4 + 35*j**3 + 25*j**2
Expand (8*f - 2*f - 15*f)*(-11*f**2 + 8*f**2 - 2*f**4 + 4*f**2 - 10*f + 4 - 4 - 2*f**4 + (-1 + 1 - f**3)*(-2*f + 3*f - 2*f)).
27*f**5 - 9*f**3 + 90*f**2
Expand 2*w**2 - w**5 - 2*w**2 + (2*w**4 - w**2 + w**2)*(w + 3 - 3) - 18*w**4 + 33423*w**3 + 18*w**4 + 33429*w**3 - 102632*w**5 - 66852*w**3.
-102631*w**5
Expand (3630*z - 782*z - 1595*z)*((3 + 2*z - 3)*(2 - 3 - 1) - 3*z + 4*z + 2*z) + (-4*z**2 - 2*z + 2*z)*(-1 + 3 + 0).
-1261*z**2
Expand (-579867*q - 158 + 108 - 294 + 579846*q)*(0 + 0 + 2*q).
-42*q**2 - 688*q
Expand ((3*z - z - 4*z)*(-z + 3*z - z) + 11129*z**2 - 5543*z**2 - 5542*z**2 + 38)*(-3*z + 2*z + 0*z).
-42*z**3 - 38*z
Expand (4*u + 0*u - u)*(u + 0*u + u)*(860*u**2 - 860*u**2 + 640*u**3).
3840*u**5
Expand (-5 + 4 - 3)*(2*l + 4*l - 5*l) + (l + l - 4*l)*(105 - 39 + 95).
-326*l
Expand (1 + 0 - 3)*(348*l**5 + 510*l**5 + 2 + 611*l**5).
-2938*l**5 - 4
Expand (-642 - 646 - 44*v + 1284)*(-5*v + 14*v - 2*v)*(5*v - 2*v - 2*v).
-308*v**3 - 28*v**2
Expand ((-4 + 4 + 2)*(2 + 2 - 5) - 3 + 2 + 2)*(762*z + 167844 - 167844)*(5*z**4 - z**4 - 2*z**4).
-1524*z**5
Expand (-4 + 1 + 1)*(2777*s + 5396*s + 1146*s).
-18638*s
Expand (5*v**3 + 3*v - 3*v)*((2*v - 3*v + 0*v)*(-2 + 7 - 2) + 0 + 0 + v + 2*v + 2*v - 3*v + (-3*v + v + 5*v)*(28 + 38 - 20) - 2*v + 2*v + v).
690*v**4
Expand (-3*t - 2*t - 2*t)*(-19*t**2 - 8*t**2 - 10*t**2).
259*t**3
Expand -f**2 - 3 - 5*f**3 + 43367*f + 6*f**3 - 43384*f + (-f + f - f**2)*(-2*f - f + 2*f).
2*f**3 - f**2 - 17*f - 3
Expand -72*w**4 - 710*w + 710*w + (11*w - 14*w**3 - 11*w)*(-1 - w + 1) + w**4 + w**4 - 4*w**4.
-60*w**4
Expand ((4 - 1 - 4)*(6 + 8 - 3) - 5 - 1 + 0)*(13*v**5 + 30*v**4 - 30*v**4).
-221*v**5
Expand ((-4 + 2 + 3)*(-3*x + x + 0*x) - 3*x - x - x)*(30*x - 42*x + 20*x).
-56*x**2
Expand (2*f**4 - 24*f**2 + 27*f**2 + 0 - 1)*(-2378 + 1336 + 1190).
296*f**4 + 444*f**2 - 148
Expand (0 - 2 - 2)*(-b - b + 3*b) + b - 2*b - b - 38*b + 22*b - 31*b + (-5 + 3 + 4)*(-2*b - b + 4*b)*(0 + 2 - 3).
-55*b
Expand (-7*s**2 - 4*s**3 + 7*s**2)*(11*s - 6*s - 11*s) + s**4 + 0*s**4 - 5*s**4.
20*s**4
Expand (-4*o**2 + o**2 + 2*o**2)*(66726 - 66726 - 3400*o**2).
3400*o**4
Expand -12*j + 12*j - | {
"pile_set_name": "DM Mathematics"
} |
, what is 15 + -3020?
-3001
In base 14, what is -1 + 167?
166
In base 3, what is -11211 + -100?
-12011
In base 11, what is -3a8 - 1?
-3a9
In base 8, what is -46 - 7?
-55
In base 12, what is -247b + -4?
-2483
In base 15, what is -1 + 12?
11
In base 12, what is 2 + -131?
-12b
In base 4, what is 2 - -23100?
23102
In base 10, what is -7843 + 0?
-7843
In base 14, what is -10a + -3?
-10d
In base 9, what is -1 + 25?
24
In base 2, what is -11 + -10101111?
-10110010
In base 3, what is 11 - -122010?
122021
In base 6, what is 1 - -33153?
33154
In base 10, what is 4 + -1442?
-1438
In base 12, what is -2b3 - -4?
-2ab
In base 7, what is -45 - 5?
-53
In base 3, what is -122202 + 1?
-122201
In base 3, what is 102 + 1101?
1210
In base 15, what is -9b + 23?
-78
In base 8, what is -46400 - 4?
-46404
In base 14, what is 28 - -2?
2a
In base 3, what is 21 + 1002022?
1002120
In base 11, what is -1 - 52?
-53
In base 16, what is -6 + ecc?
ec6
In base 9, what is -86 + -2?
-88
In base 15, what is 4 + 25a2?
25a6
In base 15, what is 1 + -ae?
-ad
In base 5, what is 21214 + -1?
21213
In base 15, what is 2 + 296?
298
In base 10, what is 15 + -357?
-342
In base 5, what is -1 + -1144?
-1200
In base 13, what is 5 + 1672?
1677
In base 3, what is 10 - 10222?
-10212
In base 12, what is -1 - 97?
-98
In base 8, what is 1 + 167?
170
In base 16, what is -2 + b8c?
b8a
In base 8, what is 301 - -2?
303
In base 11, what is 441 - 14?
428
In base 4, what is -213033 - 10?
-213103
In base 9, what is -7 + -414?
-422
In base 15, what is 144 - 10?
134
In base 13, what is 12 + c5?
107
In base 9, what is 10 - -4?
14
In base 15, what is 3 - -14?
17
In base 2, what is -11101 + 10000?
-1101
In base 7, what is -1150 - 5?
-1155
In base 14, what is 8 + -5c?
-54
In base 13, what is -285a + -1?
-285b
In base 10, what is 136 + 16?
152
In base 16, what is -2 + 71e?
71c
In base 12, what is -7 + 240?
235
In base 16, what is -1db + -3f?
-21a
In base 6, what is -150 - -5?
-141
In base 9, what is -8 - -18?
10
In base 13, what is -89 + -8?
-94
In base 14, what is 6 + -29?
-23
In base 9, what is -16 + 763?
746
In base 5, what is 4 - -1114?
1123
In base 12, what is 8 + 37?
43
In base 13, what is -1 - 88?
-89
In base 8, what is -214 - 6?
-222
In base 6, what is 100 + 100?
200
In base 14, what is 3c + 2?
40
In base 9, what is -21437 + -1?
-21438
In base 7, what is -433 + -3?
-436
In base 13, what is -69 + -5?
-71
In base 8, what is 1045 + -15?
1030
In base 6, what is -322 + 0?
-322
In base 16, what is 1 + -12c?
-12b
In base 2, what is 1001000111 + -1?
1001000110
In base 15, what is -7 - 15?
-1c
In base 9, what is 11 + -1?
10
In base 2, what is -101 + 111001010011?
111001001110
In base 2, what is -1011 + 10001100?
10000001
In base 3, what is 10220002 + 0?
10220002
In base 7, what is -6642 - -4?
-6635
In base 5, what is 3 - -1312?
1320
In base 16, what is -e + 0?
-e
In base 15, what is -2 - -23?
21
In base 10, what is -5 - 247?
-252
In base 9, what is -3 + 57?
54
In base 10, what is 0 + 72?
72
In base 12, what is -4 + -4a?
-52
In base 12, what is 0 + 207?
207
In base 6, what is -3320 + 1?
-3315
In base 8, what is 15 - 422?
-405
In base 15, what is 21 + 10?
31
In base 10, what is 37 + 33?
70
In base 11, what is -6 + 5?
-1
In base 4, what is 3002 - 2?
3000
In base 14, what is 2311 - -4?
2315
In base 14, what is 30 - 0?
30
In base 12, what is -1223 + 3?
-1220
In base 3, what is -12 - -1210121?
1210102
In base 16, what is 41e - 1?
41d
In base 8, what is -1 + 7?
6
In base 9, what is 4485 + 0?
4485
In base 5, what is -122202 - -3?
-122144
In base 4, what is -10 - 113?
-123
In base 5, what is -214 + 12?
-202
In base 8, what is -64 + 123?
37
In base 5, what is 100110 + 2?
100112
In base 15, what is -e4c + 2?
-e4a
In base 16, what is -3 + 10d?
10a
In base 6, what is 5 - -353?
402
In base 15, what is 9c8 - 1?
9c7
In base 7, what is 2 + 40?
42
In base 12, what is a + 7?
15
In base 15, what is 0 + -26c?
-26c
In base 4, what is 13 + -120103?
-120030
In base 10, what is -79 + 42?
-37
In base 12, what is 9a - 3?
97
In base 2, what is -1011 + -11?
-1110
In base 15, what is 28 - -b?
34
In base 16, what is 7 - 1c?
-15
In base 4, what is -12 + 1?
-11
In base 15, what is -6 + -1a?
-21
In base 8, what is -2 + 251?
247
In base 12, what is 64 - -19?
81
In base 15, what is -5 - 9e0?
-9e5
In base 2, what is -1010110 + -100?
-1011010
In base 5, what is 13403 + -1?
13402
In base 4, what is -13313 - 0?
-13313
In base 7, what is -335 - 1?
-336
In base 2, what is 1001 - -11011011011?
11011100100
In base 2, what is -1110 + -11010101?
-11100011
In base 15, what is -263 - 2?
-265
In base 6, what is -2 - -23?
21
In base 5, what is -4044 + -1?
-4100
In base 3, what is 0 + -11100?
-11100
In base 16, what is -1 + -b?
-c
In base 4, what is 11221 + 3?
11230
In base 8, what is 6463 + 1?
6464
In base 12, what is 46 - -24?
6a
In base 11, what is -2 + 22?
20
In base 10, what is 331 + -2?
329
In base 15, what is 0 - -42?
42
In base 5, what is 4 - -31?
40
In base 7, what is -2204 - -32?
-2142
In base 9, what is 7 - -85?
103
In base 14, what is 5 + 326?
32b
In base 11, what is -5a0 + -4?
-5a4
In base 14, what is -3 - 34?
-37
In base 3, what is 120 + -12?
101
In base 3, what is -11 - -1212?
1201
In base 3, what is 111202211 + -12?
111202122
In base 16, what is -16d - -5?
-168
In base 8, what is 3 + -1?
2
In base 14, what is 0 + -2636?
-2636
In base 6, what is -2 - -32505?
32503
In base 5, what is 412 - 11?
401
In base 7, what is -1 + -4201?
-4202
In base 6, what is 4 + 2020?
2024
In base 13, what is 3 - 9?
-6
In base 13, what is 8 - 77?
-6c
In base 6, what is -2 + -11104?
-11110
In base 6, what is -253 + 1?
-252
In base 12, what is -5 + -60?
-65
In base 16, what is -1 - -222?
221
In base 7, what is -2242 + -5?
-2250
In base 16, what is -4 + 85?
81
In base 9, what is 4183 - -5?
4188
In base 15, what is 59 + -4?
55
In base 16, what is -2 - -75f?
75d
In base 5, what is 131 + -1?
130
In base 14, what is 0 - -38?
38
In base 16, what is -34 + -1?
-35
In base 7, what is 2 + 500?
502
In base 10, what is -33 + 16?
-17
In base 14, what is -137 + -5?
-13c
In base 13, what is 58 - -4?
5c
In base 11, what is -23 + -4a?
-72
In base 16, what is dc6 + -7?
dbf
In base 12, what is -5 - 74?
-79
In base 6, what is 355 - 0?
355
In base 6, what is -204 + -2?
-210
In base 10, what is -17540 + 4?
-17536
In base 6, what is 12241 - -2?
12243
In base 10, what is -12 - 32?
-44
In base 16, what is -51 - -1?
-50
In base 4, what is -23101 - -3?
-23032
In base 13, what is 5 + 30?
35
In base 5, what is -10 + -344?
-404
In base 6, what is 10 - 21?
-11
In base 3, what is -10201 - 1?
-10202
In base 8, what is 3 - -7322?
7325
In base 6, what is 1011 + 4?
1015
In base 6, what is -4050 + 1?
-4045
In base 7, what is -2041 - -3?
-2035
In base 7, what is -3 + -124?
-130
In base 5, what is -4 - 1040?
-1044
In base 5, what is -12 + -213?
-230
In base 8, what is -37 - 14?
-53
In base 13, what is -3 - -23?
20
In base 12, what is -4 + 1512?
150a
In base 16, what is -1 - -a?
9
In base 13, what is -2 + -8b1?
-8b3
In base 2, what is 1001010001111 - 1?
1001010001110
In base 11, what is -5761 - 1?
-5762
In base 7, what is 5233 + 5?
5241
In base 7, what is -3524 + 4?
-3520
In base 10, what is -36 + -12?
-48
In base 14, what is -3 - 29?
-2c
In base 16, what is 8 + -393?
-38b
In base 3, what is -1110 - 10212?
-12022
In base 10, what is 4306 + 3?
4309
In base 13, what is 477 + 2?
479
In base 3, what is -11002 + -112?
-11121
In base 14, what is -2 + 2ac?
2aa
In base 7, what is -211 + -3?
-214
In base 7, what is -5 + 1510?
1502
In base 15, what is 27 - -e?
36
In base 10, what is -129 - 4?
-133
In base 6, what is 1013 + -1?
1012
In base 14, what is -49 - 1?
-4a
In base 3, what is -1012 - -2111?
1022
In base 2, what is 1 - -110111001?
110111010
In base 16, what is 0 + 45?
45
In base 11, what is -1 - -4822?
4821
In base 8, what is -1135 + -3?
-1140
In base 4, what is 1103022 + 11?
1103033
In base 7, what is 24 - 142?
-115
In base 15, what is 4 - -62?
66
In base 14, what is -938 + 1?
-937
In base 14, what is -2 - 51?
-53
In base 15, what is -3 + 37a?
377
In base 5, what is -14 - -2?
-12
In base 12, what is -6 - 42?
-48
In base 15, what is 201 - 0?
201
In base 4, what is -1 - -122?
121
In base 3, what is 2 + 11102?
11111
| {
"pile_set_name": "DM Mathematics"
} |
est common divisor of 470 and 20?
10
Calculate the highest common factor of 5 and 7145.
5
What is the greatest common divisor of 2428 and 4?
4
What is the greatest common divisor of 35 and 2065?
35
What is the greatest common factor of 861 and 21?
21
What is the highest common divisor of 94 and 34?
2
What is the greatest common divisor of 186 and 496?
62
Calculate the highest common factor of 400 and 500.
100
Calculate the highest common factor of 9 and 33552.
9
What is the greatest common factor of 570 and 30?
30
Calculate the highest common divisor of 57 and 2337.
57
What is the highest common factor of 6963 and 66?
33
Calculate the highest common factor of 297 and 11.
11
Calculate the greatest common divisor of 1496 and 8.
8
What is the highest common divisor of 27 and 441?
9
Calculate the greatest common divisor of 9 and 3762.
9
What is the highest common divisor of 3475 and 10?
5
What is the highest common factor of 16 and 104?
8
Calculate the highest common factor of 975 and 39.
39
Calculate the highest common divisor of 4334 and 1970.
394
Calculate the greatest common factor of 234 and 2772.
18
What is the highest common factor of 485 and 3104?
97
What is the greatest common divisor of 4433 and 429?
143
What is the highest common factor of 15 and 215?
5
Calculate the greatest common divisor of 474 and 678.
6
What is the highest common factor of 35 and 15?
5
What is the greatest common factor of 2086 and 14?
14
Calculate the greatest common factor of 145 and 40.
5
Calculate the highest common factor of 332 and 83.
83
What is the greatest common divisor of 268 and 272?
4
What is the highest common divisor of 18 and 4086?
18
Calculate the greatest common divisor of 20 and 620.
20
What is the greatest common factor of 93 and 62?
31
Calculate the greatest common divisor of 64 and 32.
32
What is the greatest common divisor of 182 and 28?
14
What is the highest common divisor of 116 and 87?
29
Calculate the highest common factor of 9 and 639.
9
What is the greatest common divisor of 40 and 128?
8
What is the highest common factor of 156 and 8?
4
What is the highest common divisor of 20 and 50?
10
What is the greatest common divisor of 15 and 5?
5
What is the highest common divisor of 26 and 16406?
26
What is the highest common divisor of 21 and 4179?
21
Calculate the highest common factor of 80 and 170.
10
What is the highest common divisor of 30 and 65?
5
What is the highest common divisor of 32 and 976?
16
Calculate the greatest common factor of 11 and 88.
11
What is the highest common factor of 162 and 126?
18
What is the highest common factor of 527 and 31?
31
What is the greatest common factor of 72 and 324?
36
What is the greatest common factor of 8 and 104?
8
What is the highest common factor of 285 and 15?
15
What is the greatest common divisor of 26 and 117?
13
What is the highest common factor of 72 and 13752?
72
What is the greatest common divisor of 2178 and 990?
198
What is the greatest common factor of 9672 and 62?
62
Calculate the highest common factor of 49 and 161.
7
What is the greatest common divisor of 92 and 12?
4
What is the greatest common factor of 112 and 6?
2
What is the highest common factor of 1890 and 105?
105
Calculate the greatest common divisor of 1482 and 390.
78
Calculate the highest common factor of 7 and 28.
7
What is the highest common divisor of 11 and 2354?
11
Calculate the highest common factor of 348 and 17139.
87
Calculate the highest common divisor of 5321 and 3443.
313
Calculate the highest common divisor of 342 and 9.
9
Calculate the highest common divisor of 912 and 12.
12
Calculate the highest common divisor of 19395 and 45.
45
Calculate the greatest common factor of 954 and 18.
18
Calculate the highest common factor of 8 and 62912.
8
Calculate the greatest common divisor of 22 and 594.
22
Calculate the highest common factor of 350 and 1120.
70
What is the greatest common factor of 418 and 190?
38
Calculate the greatest common factor of 1680 and 2280.
120
What is the greatest common factor of 1519 and 2107?
49
What is the highest common factor of 24 and 300?
12
Calculate the highest common divisor of 10 and 30.
10
Calculate the greatest common divisor of 899 and 87.
29
What is the greatest common factor of 1950 and 455?
65
Calculate the greatest common factor of 42 and 608.
2
What is the greatest common divisor of 44 and 66?
22
What is the highest common divisor of 90 and 120?
30
What is the greatest common divisor of 60 and 372?
12
What is the highest common factor of 861 and 21?
21
Calculate the highest common divisor of 632 and 32.
8
Calculate the greatest common divisor of 62 and 1550.
62
What is the greatest common divisor of 35 and 10535?
35
Calculate the greatest common divisor of 1676 and 32.
4
Calculate the greatest common factor of 21 and 33.
3
Calculate the highest common factor of 35 and 2345.
35
What is the highest common divisor of 68 and 5270?
34
What is the highest common factor of 3 and 80?
1
What is the highest common divisor of 6986 and 14?
14
What is the highest common factor of 621 and 92?
23
What is the highest common factor of 33 and 102?
3
Calculate the greatest common divisor of 28 and 44.
4
Calculate the highest common divisor of 605 and 1089.
121
What is the greatest common divisor of 1768 and 1394?
34
Calculate the highest common factor of 1180 and 180.
20
Calculate the greatest common factor of 60 and 72060.
60
What is the highest common divisor of 205 and 60?
5
Calculate the greatest common factor of 57 and 171.
57
Calculate the highest common divisor of 16 and 784.
16
What is the highest common divisor of 133 and 19?
19
Calculate the greatest common divisor of 144 and 64.
16
Calculate the highest common factor of 612 and 396.
36
Calculate the highest common divisor of 441 and 98.
49
Calculate the highest common factor of 63 and 36.
9
What is the greatest common divisor of 476 and 364?
28
What is the highest common factor of 20 and 95?
5
What is the highest common divisor of 19738 and 142?
142
Calculate the highest common divisor of 2697 and 87.
87
Calculate the highest common divisor of 29718 and 104.
26
Calculate the highest common divisor of 20 and 180.
20
What is the greatest common factor of 15620 and 40?
20
Calculate the greatest common factor of 23256 and 38.
38
Calculate the highest common factor of 96 and 1104.
48
What is the highest common divisor of 399 and 19?
19
Calculate the highest common factor of 12 and 186.
6
Calculate the greatest common factor of 620 and 100.
20
Calculate the highest common divisor of 3471 and 39.
39
What is the greatest common factor of 9 and 2?
1
What is the highest common divisor of 200 and 88?
8
Calculate the highest common divisor of 60 and 620.
20
Calculate the highest common divisor of 185 and 111.
37
What is the highest common divisor of 12 and 192?
12
Calculate the highest common factor of 826 and 14.
14
What is the greatest common divisor of 69 and 14076?
69
Calculate the highest common factor of 348 and 20.
4
What is the greatest common factor of 9 and 1611?
9
Calculate the highest common factor of 160 and 64.
32
What is the highest common divisor of 15 and 465?
15
What is the highest common divisor of 91 and 13?
13
Calculate the highest common divisor of 7 and 448.
7
Calculate the highest common divisor of 180 and 252.
36
What is the highest common divisor of 420 and 6405?
105
Calculate the greatest common divisor of 44 and 726.
22
What is the highest common divisor of 324 and 234?
18
Calculate the greatest common factor of 1664 and 13.
13
What is the greatest common factor of 442 and 7038?
34
What is the highest common factor of 231 and 84?
21
What is the highest common divisor of 517 and 47?
47
What is the greatest common factor of 10256 and 16?
16
What is the greatest common divisor of 82960 and 85?
85
What is the greatest common divisor of 450 and 9630?
90
What is the greatest common divisor of 10 and 1390?
10
What is the greatest common divisor of 2562 and 2379?
183
Calculate the highest common factor of 1387 and 38.
19
What is the greatest common divisor of 57 and 42?
3
Calculate the highest common factor of 228 and 1083.
57
What is the highest common factor of 45 and 153?
9
Calculate the highest common facto | {
"pile_set_name": "DM Mathematics"
} |
53
a
Which is the nearest to 0.47? (a) 3/7 (b) 1/5 (c) -4 (d) 2
a
Which is the nearest to 0? (a) 2/3 (b) -3 (c) -6105 (d) -2
a
Which is the nearest to -3? (a) -749.1 (b) -1/6 (c) 2 (d) 5
b
Which is the nearest to -0.1? (a) 0.4 (b) -0.7 (c) -8.3
a
Which is the closest to 2? (a) -2/19 (b) 0.28 (c) 1 (d) -2/7
c
Which is the closest to -51? (a) 3 (b) -3 (c) 5 (d) -6
d
What is the closest to -2 in 3, 1, -3, 47722, 1/6?
-3
Which is the closest to -1.3? (a) 1/3 (b) 0.1 (c) 5 (d) 7
b
What is the nearest to 1 in 1/7, 18, -0.5, 2212, -3?
1/7
Which is the nearest to 0? (a) -239 (b) -0.3 (c) 5 (d) -2/23
d
What is the closest to -2/5 in -0.129, 2, -0.3, 0?
-0.3
What is the closest to 7/5 in 5, -23, -4?
5
What is the nearest to 1 in -5, -2/125, -58.5?
-2/125
Which is the nearest to 1? (a) 0 (b) 30 (c) 16/11 (d) 2/3
d
Which is the closest to -0.2? (a) -29 (b) -8 (c) 1/6 (d) -0.4
d
What is the nearest to 17.3 in -5, -27, -0.5?
-0.5
Which is the nearest to 0.2? (a) -33/14 (b) -20 (c) -7
a
What is the closest to 0.1 in 0, -1/5, 0.5, -16, -64?
0
Which is the nearest to -2/243? (a) -0.5 (b) -41 (c) 1/2
a
Which is the closest to 0.1? (a) 22 (b) 5 (c) 811
b
Which is the nearest to 1? (a) -1/153 (b) 4 (c) 8 (d) -2/63 (e) 0
e
What is the nearest to 0 in 1/3, 131/5, 94, -2?
1/3
Which is the closest to 0.921? (a) -3 (b) -1/2 (c) 0.2 (d) 22
c
Which is the nearest to -2/7? (a) -5 (b) 7.421 (c) -0.2 (d) 1/5 (e) -4
c
What is the closest to 0.2 in 3/5, 776/43, 0, 2/3, -4?
0
Which is the nearest to -2/3? (a) 1/38 (b) 14 (c) 2/11 (d) 5 (e) 8
a
Which is the closest to -6? (a) 0.49 (b) 0 (c) 1
b
What is the closest to -6/5 in 4, -2.2, 0, -63?
-2.2
What is the closest to 1 in 0.06, 2, -14/27, 4, 0.8?
0.8
Which is the nearest to -2? (a) 0.5 (b) 0.2 (c) -423
b
Which is the closest to 11.6? (a) -5 (b) -0.3 (c) 8/5 (d) 1
c
Which is the closest to 0.3? (a) -8 (b) -55 (c) 0.2
c
Which is the closest to 2/13? (a) 16 (b) 3 (c) -240.1
b
What is the nearest to -0.1 in 11, 1/8, -2, 1/2, -103?
1/8
What is the nearest to 12 in -1/5, -23/101, -4, 0.4?
0.4
Which is the nearest to 2? (a) 1 (b) 6/13 (c) -2 (d) 0.64
a
What is the nearest to -0.0286 in -116, -9, -1?
-1
Which is the nearest to 2? (a) -4/11 (b) -122 (c) 3/7 (d) -1 (e) -0.3
c
What is the closest to -3/2 in 0.7, 1/3, 20/9?
1/3
What is the nearest to 17 in 0.4, 1, -903?
1
What is the closest to 3 in 3, 5.092, -3, -0.4?
3
Which is the closest to -2/3? (a) 21/5 (b) -2 (c) -43/5
b
What is the closest to 1/4 in 1.8, 0, -2, -1/4?
0
What is the nearest to -175 in -0.4, 2/13, 57, -0.5?
-0.5
Which is the closest to 0.12? (a) 196/9 (b) 2/11 (c) 12 (d) 1/2 (e) 0.11
e
Which is the closest to 0.2? (a) -0.2 (b) 175 (c) 71 (d) -2/7
a
Which is the nearest to 51? (a) 6/5 (b) 3/4 (c) -15
a
Which is the closest to 1/4? (a) -0.9 (b) -0.2 (c) -35/4 (d) 2 (e) -3
b
What is the nearest to 0 in -2/23, -3/52, 1, 1/4?
-3/52
What is the nearest to -2 in 2/9, 154, -72, -2/9?
-2/9
Which is the closest to -37? (a) 4 (b) 0.6 (c) 1 (d) 1/4
d
Which is the closest to 1? (a) 3 (b) -4421.94 (c) 0.3
c
What is the closest to 759 in 3, 2/9, 2, -12?
3
Which is the closest to 2? (a) 0 (b) -9/8 (c) -2 (d) 0.2 (e) -34/15
d
What is the closest to -1924.6 in -5, -0.04, -0.3?
-5
What is the closest to 4191 in -2, -5/2, -2/61?
-2/61
Which is the closest to 1/8? (a) -6/7 (b) 3 (c) -1/10 (d) -14 (e) 5
c
What is the nearest to -2/25 in 3, 22, -1/15, -6?
-1/15
Which is the nearest to -7/2? (a) -0.022 (b) 4/3 (c) 2/7 (d) -2/9 (e) 0.01
d
Which is the nearest to -2/3? (a) -0.5 (b) -3 (c) -577
a
What is the closest to -2 in 0.2, 0.21, 1?
0.2
Which is the nearest to 0? (a) -61 (b) 1 (c) -24
b
Which is the closest to 1? (a) 2/85 (b) 0.05 (c) -3 (d) -0.04 (e) 0.3
e
What is the nearest to 1 in -6/83, 222, 0.3, -4?
0.3
Which is the nearest to 1/3? (a) 1.38 (b) 5 (c) 14 (d) -2
a
Which is the closest to -1? (a) 25 (b) 4 (c) 99
b
Which is the closest to -2/3? (a) 0.3 (b) 694 (c) 3 (d) 177
a
Which is the closest to -77/5? (a) -2/7 (b) 2 (c) -4 (d) 0.01
c
What is the nearest to -1 in -1/12, 0.5, -4, -0.1, 299?
-0.1
What is the closest to -3/11 in 0.11, 15, 5?
0.11
What is the closest to 0.1 in 0, 859, 2/7, 6, -2/11?
0
Which is the closest to 55? (a) -650/7 (b) -2/7 (c) 0
c
Which is the closest to 0.09? (a) -2 (b) -17/19 (c) -0.7
c
Which is the closest to 1? (a) -20/9 (b) 3 (c) 139
b
What is the nearest to -1 in 0.074, -3/5, 0.051?
-3/5
What is the closest to 3/4 in 3, -5, -0.6, -1/210?
-1/210
What is the closest to -3 in -0.81, -5, -4, 0?
-4
Which is the closest to -2? (a) -1 (b) 1550 (c) 0.2 (d) 0.3 (e) -2/15
a
Which is the closest to 0.3? (a) 13/2 (b) 3 (c) 0 (d) -1/104
c
Which is the closest to 1/19? (a) 0.05 (b) -4 (c) 0.4 (d) -2 (e) 1/6
a
Which is the closest to -0.05? (a) -0.06 (b) -15 (c) -4 (d) -3
a
What is the closest to 4 in -7, -26, -2/7?
-2/7
What is the nearest to -40 in 5, -3, -1.2, -2/11?
-3
What is the closest to 52 in 8, 2/3, -0.1, -1.2?
8
Which is the nearest to 0.085? (a) -5 (b) -1 (c) -0.8 (d) 2/7 (e) -20
d
Which is the closest to -1/2? (a) 0.3 (b) -26039 (c) 0.4 (d) -0.2 (e) 2
d
Which is the closest to -24? (a) -694 (b) 0 (c) 3/8
b
Which is the closest to -4? (a) 0.3 (b) -20 (c) 31
a
What is the closest to 1/4 in 28, 1.4, 0.07?
0.07
What is the nearest to 1 in 6, 92, -2/21, 1/11?
1/11
Which is the nearest to 1? (a) 0.4 (b) 1050 (c) -2
a
What is the closest to -3 in 3, -708.4, 43/2?
3
What is the nearest to 2103 in 2, 2/9, 4, -5, 5?
5
Which is the nearest to -0.19? (a) -2/129 (b) -1 (c) -132 (d) -1/3
d
What is the closest to 17 in 0, 4, -1/7, -63?
4
What is the closest to 3181 in 1, 23, 0.3?
23
What is the closest to 0.02 in 0.1, -1, 2?
0.1
What is the nearest to -1/5 in 0, 0.1, 28, -2/93, 2?
-2/93
What is the nearest to 0.3 in 5, -9, -73?
5
What is the nearest to 0.2 in -22, -4, -1, -1270?
-1
What is the nearest to -1/5 in -44, -4/3, -0.1, -19?
-0.1
What is the nearest to -1/7 in 5, -15, 305?
5
Which is the nearest to 3156? (a) 0.2 (b) -4 (c) -0.07
a
Which is the nearest to 0? (a) -2/635 (b) -111 (c) -0.6
a
What is the closest to -368 in 1/2, -5, -9, -0.3, 4?
-9
What is the closest to 2009 in 3/5, -1, 1?
1
What is the closest to -4/3 in -4/7, 36977, 1?
-4/7
Which is the closest to -17? (a) 2 (b) 6 (c) -0.3 (d) -50 (e) 3
c
What is the closest to 7 in -97, -2/63, 12?
12
Which is the nearest to -2? (a) 1 (b) 3 (c) -6.6 (d) 91
a
What is the nearest to -1.813 in -4, 4, -9?
-4
Which is the nearest to -1/33? (a) -1/3 (b) 2/9 (c) -2/3 (d) 0.005 (e) -1/10
d
Which is the closest to -2? (a) -3/5 (b) -5 (c) 7270/11
a
Which is the nearest to -29? (a) 3/5 (b) 3 (c) 143/5 (d) 2/5
d
Which is the nearest to -0.1? (a) 298/3 (b) 0.02 (c) -2/93
c
What is the nearest to 2/3 in -1/4, -16, -0.0731?
-0.0731
What is the nearest to -2 in 1/2, -6, -1/2, -1/6, 0.1?
-1/2
What is the closest to 0.1 in 181, -2/3, -3/11, 0.2, 5?
0.2
Which is the closest to -37? (a) -1/4 (b) 2/3 (c) 15.1
a
Which is the nearest to -22? (a) 7 (b) 2 (c) 13
b
What is the nearest to 0.43 in 0.2, 0, -5, 0.5, -217?
0.5
Which is the nearest to 20? (a) 2.5 (b) 4 (c) 0.07
b
What is the closest to -15/7 in -1/10, 32.8, 0.4, 1/3?
-1/10
What is the nearest to 15 in 1/4, -0.5, 33, -8, 0.2?
1/4
What is the nearest to -1 in -8/9, 455, -113?
-8/9
What is the closest to 2/5 in -3/5, 126, -0.02, 1?
-0.02
Which is the closest to 14/3? (a) 1 (b) -0.5 (c) -0.1 (d) -5
a
Which is the nearest to 2? (a) -0.2 (b) 2/9 (c) 2/3 (d) -4 (e) -5/3
c
What is the nearest to -1 in -0.3, -8/47, -626?
-0.3
What is the closest to 2/11 in 0.288, -188, 1/3?
0.288
What is the nearest to 1/2 in 24, 56, 2, -1/7?
-1/7
Which is the nearest to 3/2? (a) -714 (b) 0.4 (c) -17 (d) 3
b
What is the nearest to -1 in -2/9, -2157, -9.5?
-2/9
Which is the closest to 48? (a) -9 (b) -5 (c) 2/3 (d) 0.05
c
Which is the closest to 7? (a) 3.245 (b) 3 (c) 2
a
Which is the nearest to -1? (a) -0.4 (b) 777 (c) -4/5
c
What is the closest to -0.6 in -3/4, 2, 4/11, -228?
-3/4
What is the closest to 1 in -1.7, 0.3, 1/3, 9885?
1 | {
"pile_set_name": "DM Mathematics"
} |
t common factor of 324023 and 19229.
287
What is the highest common divisor of 10197 and 11039643?
927
Calculate the greatest common factor of 6664761 and 81.
81
What is the greatest common factor of 26483308 and 166?
166
Calculate the greatest common factor of 72459 and 490779.
747
What is the greatest common divisor of 22290112 and 1088?
64
Calculate the greatest common factor of 1167398 and 736250.
1178
Calculate the highest common factor of 168069956 and 476.
68
What is the highest common divisor of 8973749 and 69?
23
Calculate the greatest common factor of 1136925 and 8649.
279
Calculate the highest common factor of 73 and 180947509.
73
What is the highest common divisor of 886478 and 106?
106
What is the highest common divisor of 1412977 and 413561?
277
Calculate the greatest common divisor of 3636 and 103213314.
1818
What is the highest common factor of 30400 and 355334200?
3800
What is the highest common factor of 229830944 and 3808?
224
Calculate the highest common divisor of 98131 and 467947.
811
What is the highest common divisor of 13833 and 747?
9
What is the greatest common divisor of 13593 and 3509340?
69
What is the greatest common factor of 928727968 and 98?
98
Calculate the greatest common factor of 6119496 and 576.
72
Calculate the greatest common divisor of 44 and 46148476.
44
Calculate the greatest common divisor of 31570449 and 331.
331
What is the greatest common divisor of 2216526 and 9050?
362
Calculate the highest common divisor of 377 and 1132479.
29
What is the greatest common divisor of 12493104 and 1040?
208
Calculate the greatest common divisor of 68429673 and 117.
117
Calculate the greatest common factor of 9288 and 2948184.
216
Calculate the highest common factor of 2718 and 8126826.
6
Calculate the greatest common divisor of 2419420 and 253724.
548
What is the highest common factor of 702375 and 11125?
125
Calculate the greatest common divisor of 49 and 182730947.
49
Calculate the greatest common divisor of 5820 and 346080.
60
Calculate the greatest common factor of 86457 and 1007377.
161
Calculate the greatest common factor of 548548 and 112.
28
Calculate the highest common divisor of 15 and 22659995.
5
Calculate the highest common factor of 641303543 and 2551.
2551
What is the highest common divisor of 25123 and 2619?
97
What is the greatest common divisor of 39343673 and 134?
67
What is the highest common factor of 6 and 18131436?
6
Calculate the highest common divisor of 2480 and 2127530.
310
What is the highest common factor of 1574 and 32630594?
1574
What is the greatest common divisor of 3618 and 46644462?
1206
What is the greatest common factor of 91 and 315539?
7
What is the greatest common factor of 18324 and 479536026?
3054
What is the highest common factor of 54672 and 732768?
816
Calculate the highest common factor of 4787832 and 840.
168
What is the highest common factor of 136810986 and 5356?
2678
What is the highest common factor of 11745 and 92880?
135
What is the highest common factor of 383662523 and 146?
73
Calculate the greatest common factor of 81622666 and 370.
74
Calculate the highest common divisor of 346 and 15260157.
173
Calculate the highest common divisor of 596835098 and 172.
86
What is the highest common divisor of 17420 and 1768780?
260
What is the highest common factor of 72 and 136682712?
72
What is the highest common divisor of 1386799738 and 2738?
2738
Calculate the highest common factor of 1831090 and 670.
10
Calculate the highest common factor of 557404 and 2947.
421
What is the highest common divisor of 1040 and 99515?
65
What is the greatest common factor of 3517979 and 497?
71
What is the greatest common divisor of 1898 and 745980430?
1898
What is the highest common divisor of 28 and 11848802?
14
Calculate the greatest common divisor of 554963 and 33337.
1961
Calculate the highest common factor of 386906 and 4784.
598
What is the greatest common factor of 40048 and 944?
16
Calculate the highest common factor of 6716472 and 924.
84
Calculate the greatest common factor of 3552318 and 18634.
1694
What is the greatest common factor of 838576 and 1496?
136
Calculate the greatest common divisor of 212352 and 104912.
1264
Calculate the greatest common factor of 4512563891 and 2563.
2563
Calculate the greatest common divisor of 252923930 and 35.
35
What is the highest common factor of 2 and 2924353?
1
Calculate the highest common divisor of 930 and 913229.
31
What is the greatest common divisor of 747 and 10078275?
249
What is the greatest common factor of 69594816 and 1440?
96
Calculate the highest common factor of 4272780 and 923.
71
What is the highest common divisor of 65 and 117189085?
65
Calculate the highest common divisor of 1149172 and 8418.
46
Calculate the greatest common divisor of 118 and 226789628.
118
What is the highest common factor of 264 and 67139952?
264
What is the highest common factor of 16200 and 4423680?
1080
Calculate the greatest common factor of 1713756 and 80058.
66
What is the greatest common divisor of 34612 and 1319328?
2036
Calculate the highest common divisor of 38391 and 220223.
191
Calculate the greatest common divisor of 21211513 and 43.
43
What is the greatest common divisor of 2366 and 105424904?
338
What is the highest common divisor of 100720820 and 130?
10
What is the greatest common divisor of 22 and 1532171993?
11
What is the highest common divisor of 8130645 and 18320?
1145
Calculate the greatest common factor of 61300 and 120761.
613
Calculate the highest common factor of 121531481 and 926.
463
Calculate the greatest common divisor of 127502 and 291782.
74
What is the highest common divisor of 1062228692 and 140?
28
What is the highest common factor of 8346 and 347781993?
4173
Calculate the highest common divisor of 41460 and 110.
10
What is the highest common divisor of 5530 and 1543186?
158
Calculate the highest common divisor of 5864 and 32180899.
733
What is the greatest common divisor of 161672 and 12712?
56
Calculate the highest common divisor of 211925886 and 5748.
2874
What is the highest common factor of 344 and 555248?
8
Calculate the highest common divisor of 125475 and 1323343.
1673
What is the highest common factor of 41177571 and 779?
41
What is the greatest common factor of 7213743 and 184?
23
Calculate the highest common divisor of 175373 and 20009.
1177
What is the highest common factor of 55360 and 28480?
320
Calculate the greatest common divisor of 1351104 and 50778.
186
Calculate the greatest common factor of 444 and 150972543.
111
What is the highest common factor of 2241 and 4238229?
249
Calculate the greatest common divisor of 9044 and 40285966.
266
What is the highest common factor of 486858 and 34609?
53
What is the highest common divisor of 224296 and 207092?
92
Calculate the highest common factor of 3947222 and 1331635.
1163
Calculate the highest common divisor of 2876472 and 1840.
184
Calculate the greatest common factor of 1369851 and 1010199.
5289
What is the highest common divisor of 54766846 and 98950?
3958
What is the greatest common divisor of 828 and 4989?
3
What is the greatest common factor of 425332 and 241594?
226
What is the highest common factor of 3649725 and 200?
25
Calculate the highest common factor of 7552840 and 3720.
1240
What is the highest common factor of 2 and 218881598?
2
Calculate the highest common divisor of 940128 and 3360.
672
Calculate the greatest common factor of 1357 and 322789.
59
What is the greatest common divisor of 64282010 and 13?
13
Calculate the greatest common factor of 121723883 and 5582.
2791
What is the greatest common factor of 3299366 and 1274?
98
What is the greatest common factor of 25449905 and 78?
13
What is the greatest common divisor of 26 and 13743353?
13
What is the highest common divisor of 6156 and 518787666?
3078
What is the highest common factor of 42 and 2423953?
7
Calculate the greatest common factor of 198276 and 47437.
533
Calculate the highest common divisor of 30218385 and 120.
15
What is the greatest common divisor of 245377740 and 3522?
3522
Calculate the highest common factor of 68090 and 3376645.
3095
Calculate the greatest common divisor of 13166676 and 15.
3
Calculate the highest common divisor of 1688096 and 120366.
1486
What is | {
"pile_set_name": "DM Mathematics"
} |
lve 0 = -3*b - 15 + 15 for b.
0
Solve 25*o - 159 = -28*o for o.
3
Solve -25*h + 28*h = -6 for h.
-2
Solve -25*a + 10 = -30*a for a.
-2
Solve 153 - 342 = 63*d for d.
-3
Solve 10*c - 84 = -4*c for c.
6
Solve 90 - 5 = 85*n for n.
1
Solve 0 = 7*x - 5*x + 4 for x.
-2
Solve 7*q = 17 - 45 for q.
-4
Solve -132 = -11*g - 220 for g.
-8
Solve -60 = -28*f + 13*f for f.
4
Solve 56*b + 52*b = -216 for b.
-2
Solve -61*y - 400 = -101*y for y.
10
Solve f = -4*f + 10 for f.
2
Solve -1 - 3 = -4*i for i.
1
Solve -9*l + 12 = -13*l for l.
-3
Solve 74 = 8*q + 10 for q.
8
Solve -20*h = 29*h - 343 for h.
7
Solve -15 = -3*i + 6*i for i.
-5
Solve -41 + 85 = -22*m for m.
-2
Solve 86 = -8*q + 30 for q.
-7
Solve -2*k - 34 + 42 = 0 for k.
4
Solve -9 = 5*b - 8*b for b.
3
Solve -7*o - 66 = -29*o for o.
3
Solve 0 = -72*p + 49*p - 207 for p.
-9
Solve 9*g - 16 = -25 for g.
-1
Solve -60 = 8*s + 7*s for s.
-4
Solve -269*k + 261*k = -32 for k.
4
Solve -29*r + 23*r + 24 = 0 for r.
4
Solve 0 = -9*m - 9 for m.
-1
Solve -12*q = -5*q + 21 for q.
-3
Solve 103*m - 51 = 52 for m.
1
Solve 59*b = -37*b + 96 for b.
1
Solve 9*d = 100 - 55 for d.
5
Solve -22 = -0*l + 11*l for l.
-2
Solve 115*t - 4 = 113*t for t.
2
Solve -18*u + 8*u + 50 = 0 for u.
5
Solve 10 = 5*i - 10*i for i.
-2
Solve 15*c = -50 - 10 for c.
-4
Solve 12*q = -16 + 52 for q.
3
Solve -64 = 9*f - 25*f for f.
4
Solve -26*p - 8 - 148 = 0 for p.
-6
Solve -l = -53 + 62 for l.
-9
Solve 10*o - 93 = -43 for o.
5
Solve 39*h = 220 + 92 for h.
8
Solve 20*d - 133*d + 226 = 0 for d.
2
Solve -17*a = 11*a - 140 for a.
5
Solve -29*q = -30*q + 7 for q.
7
Solve 63 = 12*b + 15 for b.
4
Solve -13*j = 12*j + 125 for j.
-5
Solve -8*f = -0*f - 8 for f.
1
Solve 4*k - 985 = -1021 for k.
-9
Solve 49*j - 176 = 167 for j.
7
Solve 0 = -2*x - 20*x - 44 for x.
-2
Solve 12*m - 44 = 16 for m.
5
Solve 60*q - 36*q - 35*q = 0 for q.
0
Solve 11 = -4*r - 13 for r.
-6
Solve 0 = 25*b + 106 + 169 for b.
-11
Solve 13*t + 26 = -39 for t.
-5
Solve 0 = -15*i - 15*i + 150 for i.
5
Solve 16*i + 348 = 74*i for i.
6
Solve -4*m - 2*m - 18 = 0 for m.
-3
Solve 24*u = 23*u + 2 for u.
2
Solve 0 = 11*n - 34 - 10 for n.
4
Solve 72 = 29*l - 15 for l.
3
Solve 0 = 108*d - 113*d + 25 for d.
5
Solve 11*h = -5*h + 64 for h.
4
Solve 6*a - 8*a = 10 for a.
-5
Solve -89 = -26*f + 15 for f.
4
Solve -28 = -21*a + 56 for a.
4
Solve 0 = 2*g + 2*g + 2*g for g.
0
Solve -15 = 16*d - 11*d for d.
-3
Solve 0 = -138*s + 144*s + 6 for s.
-1
Solve 0 = -x - 7*x + 16 for x.
2
Solve 17 - 14 = b for b.
3
Solve 3*c - 25 = -28 for c.
-1
Solve 7*a - a = -2*a for a.
0
Solve 2593*c - 2622*c = 203 for c.
-7
Solve 6*t + 24 = 14*t for t.
3
Solve -53*l - 12*l - 455 = 0 for l.
-7
Solve 65*p = -0*p + 585 for p.
9
Solve -26*q + 27*q = -4 for q.
-4
Solve 4*p + 116 = 96 for p.
-5
Solve 20 = -22*f + 12*f for f.
-2
Solve -6*i = -0 + 12 for i.
-2
Solve -5*h - 43 = -33 for h.
-2
Solve -24*d = -16*d for d.
0
Solve 5*g - 16 = -31 for g.
-3
Solve 2*z + 203 = 215 for z.
6
Solve -429 = -9*l - 357 for l.
8
Solve 169*b = 168*b - 7 for b.
-7
Solve 0*r = 3*r + 3 for r.
-1
Solve 2*m - 6 - 2 = 0 for m.
4
Solve 5*k - 1 = 34 for k.
7
Solve 57*o = 52*o for o.
0
Solve -24*k + 56 = 152 for k.
-4
Solve 30*z - 40 = 80 for z.
4
Solve 0 = -3*s + s - s for s.
0
Solve 4*u = -3*u - 7 for u.
-1
Solve 25 = 5*l + 5 for l.
4
Solve 14*q + 15 = 9*q for q.
-3
Solve -18*u + 2 = -19*u for u.
-2
Solve 25*o - 22*o + 15 = 0 for o.
-5
Solve -11 + 5 = -3*h for h.
2
Solve -52 + 55 = -k for k.
-3
Solve -134*z = -23*z - 111 for z.
1
Solve 15*c - 270 = 42*c for c.
-10
Solve -13 = -3*j - 4 for j.
3
Solve 16*x = 17*x + 5 for x.
-5
Solve 2 = -6*c + 4*c for c.
-1
Solve 125 = 11*t + 14*t for t.
5
Solve -14 = -20*v + 13*v for v.
2
Solve -1149*o + 1144*o - 55 = 0 for o.
-11
Solve -1129*t = -1136*t for t.
0
Solve 59 = -21*r - 25 for r.
-4
Solve -4*q = -0*q + 4 for q.
-1
Solve 8*t + 0*t - 16 = 0 for t.
2
Solve 203*c - 9 = 206*c for c.
-3
Solve -12 = -6*w + 12*w for w.
-2
Solve 0 = 21*j - 40 - 65 for j.
5
Solve 23 = -6*a - 7 for a.
-5
Solve 40 = -189*a + 169*a for a.
-2
Solve 4*b = -b + 15 for b.
3
Solve 24 = -z + 7*z for z.
4
Solve -20 = 4*g + g for g.
-4
Solve 0 = 30*q - 29*q for q.
0
Solve -12*r = -8*r - 20 for r.
5
Solve -31*t + 120 = -7*t for t.
5
Solve 23 = 2*i + 15 for i.
4
Solve -569 = -78*z - 101 for z.
6
Solve -5*w + 0 = 10 for w.
-2
Solve 7*i = -60 + 32 for i.
-4
Solve -40*z - 234 - 46 = 0 for z.
-7
Solve 175 = 8*v + 17*v for v.
7
Solve 28*w = -202 + 34 for w.
-6
Solve 0 = 44*h - 114*h + 490 for h.
7
Solve -12*b = -23 - 1 for b.
2
Solve 28 - 4 = 8*t for t.
3
Solve 22*m - 21*m = 2 for m.
2
Solve -2*c + 19*c - 17 = 0 for c.
1
Solve 223 = -30*l - 77 for l.
-10
Solve 10*w - 27*w + 11*w = 0 for w.
0
Solve -5*g + 11*g + 30 = 0 for g.
-5
Solve 6*u + 1 = -17 for u.
-3
Solve 0 = -7*v + 65 - 51 for v.
2
Solve 13*d + 41 = 132 for d.
7
Solve 7 = 3*x + 1 for x.
2
Solve 239*s = 230*s + 27 for s.
3
Solve -2 = -0*y - 2*y for y.
1
Solve 0 = -38*a - 101 - 89 for a.
-5
Solve -i = -4 - 0 for i.
4
Solve 29*y = -53 - 63 for y.
-4
Solve 93*l + 521 + 37 = 0 for l.
-6
Solve -26*l - 30 = -16*l for l.
-3
Solve 0 = -3*r - 91 + 79 for r.
-4
Solve -84*s = -96*s for s.
0
Solve 0 = -13*x + 54 + 11 for x.
5
Solve 11*o + 16 = 7*o for o.
-4
Solve 3*r - 11*r = 3*r for r.
0
Solve 440 - 391 = -7*j for j.
-7
Solve -129 = 4*t - 113 for t.
-4
Solve 10*g - 16 = -6 for g.
1
Solve -11*b + 68 = -28*b for b.
-4
Solve 39 = 5*d + 19 for d.
4
Solve -71 + 101 = 10*h for h.
3
Solve j + 22 = 17 for j.
-5
Solve 692 = -2*j + 688 for j.
-2
Solve 9*u + 5 = -4 for u.
-1
Solve -169 + 33 = -17*z for z.
8
Solve 540*n - 530*n + 30 = 0 for n.
-3
Solve -2*j + 32 = -18*j for j.
-2
Solve -9*s + 0 = 18 for s.
-2
Solve -25*s = -36*s - 39*s for s.
0
Solve -297*k = -311*k + 14 for k.
1
Solve -10*p + 5*p = -5 for p.
1
Solve -43*x + 21 = -40*x for x.
7
Solve 0 = 311*j - 310*j - 1 for j.
1
Solve 5*o - 44 = -17*o for o.
2
Solve -187*u = -191*u + 8 for u.
2
Solve -7 - 6 = -13*y for y.
1
Solve 0 = 24*q - 3 + 147 for q.
-6
Solve 0 = -1359*c + 1353*c + 6 for c.
1
Solve -10*r + 11651 = 11581 for r.
7
Solve 32*q = 106 + 54 for q.
5
Solve -491*f + 533*f = -462 for f.
-11
Solve -5*s + 24 = 19 for s.
1
Solve 3*v = -6*v + 36 for v.
4
Solve 5*z = -28*z for z.
0
Solve -g - 16*g = -102 for g.
6
Solve 40*m - 30*m - 50 = 0 for m.
5
Solve 4*g - 34*g = 240 for g.
-8
Solve -9*d + 9*d = 8*d for d.
0
Solve -19*w - 64 = 12 for w.
-4
Solve -14*g - 7*g = -63 for g.
3
Solve 3*v + 1 + 11 = 0 for v.
-4
Solve -6 = 8*m + 2 for m.
-1
Solve -p = 16*p - 51 for p.
3
Solve 3*n = 14*n + 22 for n.
-2
Solve 0 = 13*b + 20 + 45 for b.
-5
Solve -27*f + f = 0 for f.
0
Solve 27*w + 119 = 10*w for w.
-7
Solve 11*r = -4 + 15 for r.
1
Solve 0 = q - 0*q for q.
0
Solve 0 = -716*v + 751*v - 315 for v.
9
Solve 974*b - 24 = 977*b for b.
-8
Solve 70*x = 46*x - 168 for x.
-7
Solve 11*k = 10*k - 6 for k.
-6
Solve 34*c = -70*c - 832 for c.
-8
Solve 3 = -a - 2 for a.
-5
Solve 53 + 43 = 24*a for a.
4
Solve -6*d = -28 + 4 for d.
4
Solve 6*m + 180 = 51*m for m.
4
Solve 7*y + 14 = -0*y for y.
-2
Solve -5 = -6*p - 5 for p.
0
Solve 9*y = 4*y - 10 for y.
-2
Solve 45*c + 35 = 38*c for c.
-5
Solve -3 = -3*d - 6 for d.
-1
Solve 867*x - 864*x + 9 = 0 for x.
-3
Solve 540 = 7*r + 561 for r.
-3
Solve 44 = -y - 10*y for y.
-4
Solve -6 = -11*w + 38 for w.
4
Solve 3 + 3 = 6*y for y.
1
Solve 0 = -6*l - 183 + 141 for l.
-7
Solve -76*k + 77 = 1 for k.
1
Solve 363 - 35 = -41*x for x.
-8
Solve 5*j + 434 = 399 for j.
-7
Solve 72 = -22*c - 16 for c.
-4
Solve -17*c + 140 = 242 for c.
-6
Solve -3461*c - 91 = -3474*c for c.
7
Solve -115 + 3 = 28*x for x.
-4
Solve -91*q = -74*q for q.
0
Solve -350 = -2*q - 338 for q.
6
Solve 6*b + 2 + 28 = 0 for b.
-5
Solve 3*h = -2124 + 2121 for h.
-1
Solve -34*f + 36 = -28*f for f.
6
Solve -7*j - 8 = 27 for j.
-5
Solve 9*z = -676 + 649 for z.
-3
Solve 86*h - 51 = -481 for h.
-5
Solve 68*g - 104*g + 180 = 0 for g.
5
Solve 0 = -76*j + 84*j + 8 for j.
-1
Solve 60 - 30 = -6*w for w.
-5
Solve -6*x + 12 = -8*x for x.
-6
Solve 0 = -12*p - 0*p + 48 for p.
4
Solve -9 = 22*s - 75 for s.
3
Solve -18*t + 303 = 195 for t.
6
Solve 315 = 128*y - 65*y for y.
5
Solve 14*v + 24 = 8*v for v.
-4
Solve -213*a = -172*a for a.
0
Solve 0 = 777*o - 784*o for o.
0
Solve -42*r + 45*r + 18 = 0 for r.
-6
Sol | {
"pile_set_name": "DM Mathematics"
} |
23886775.
-5*(i - 28955471)*(i - 5)
Factor 2*q**3/5 + 1461124*q**2/5 - 23379904*q + 467610880.
2*(q - 40)**2*(q + 730642)/5
Let c**3/2 - 317*c**2/6 - 4041*c/2 - 11803/6 = 0. What is c?
-29, -1, 407/3
Find x such that 25*x**3 - 40970*x**2 - 586745*x - 115710 = 0.
-14, -1/5, 1653
Factor 2*c**2 - 13309820*c + 22143913554050.
2*(c - 3327455)**2
What is q in 2*q**3/15 + 15212*q**2/15 + 10761408*q/5 + 6983407872/5 = 0?
-4582, -1512
Find q such that -3*q**2 + 190947*q = 0.
0, 63649
Factor 2*m**4 + 36367834*m**3/5 + 44087316510762*m**2/5 + 17815123223498141262*m/5 + 7126042235430942324/5.
2*(m + 1212261)**3*(5*m + 2)/5
Solve -5*m**2 - 77170*m + 35984055 = 0 for m.
-15887, 453
Solve -68186*u**4/3 - 170473*u**3/3 - 11371*u**2 + 68182*u/3 + 8/3 = 0.
-2, -1, -4/34093, 1/2
Let -o**2/4 - 5941*o/4 + 102153 = 0. What is o?
-6009, 68
Let -9002*l**3/9 - 486106*l**2/9 + 1008332*l/9 - 224/9 = 0. Calculate l.
-56, 1/4501, 2
Find i such that -450*i**4/7 - 343513680*i**3/7 + 2839742872*i**2/7 - 738944032*i/7 + 48855808/7 = 0.
-763372, 2/15, 8
Let -48*k**4 + 28748*k**3 - 773456*k**2 + 3458560*k + 28061696 = 0. Calculate k.
-4, 16, 6851/12
Factor -3*m**2/2 + 45099*m - 1172067/2.
-3*(m - 30053)*(m - 13)/2
Determine l, given that 3*l**2 - 90135*l + 5307522 = 0.
59, 29986
Let 2*v**2/9 - 376033220*v/9 + 17675122817946050/9 = 0. What is v?
94008305
Suppose -3*c**4 + 57819*c**3 - 693312*c**2 - 1617924*c = 0. What is c?
-2, 0, 14, 19261
Determine z, given that -2*z**5/15 - 7646*z**4/15 - 3484814*z**3/15 - 424605122*z**2/15 + 13939288*z/15 + 1698542824/15 = 0.
-3317, -253, -2, 2
Factor 2*s**2/17 - 20*s + 306.
2*(s - 153)*(s - 17)/17
Suppose -y**3/4 - 553*y**2/4 - 8403*y - 127575 = 0. What is y?
-486, -42, -25
Suppose -2*y**2/3 - 35984*y/3 - 2116094/3 = 0. What is y?
-17933, -59
Suppose 13*r**5 - 1182501*r**4 + 26892687591*r**3 - 97196672891*r**2 - 347471202624*r - 223380659628 = 0. What is r?
-18/13, -1, 6, 45479
Suppose 6*x**4 - 5851*x**3 + 934417*x**2 - 153624*x - 311148 = 0. What is x?
-1/2, 2/3, 201, 774
Suppose 5*u**3 + 4424403*u**2 - 28316340*u + 38935028 = 0. What is u?
-884887, 2, 22/5
Factor -3*j**2/7 + 278658*j/7 - 278655/7.
-3*(j - 92885)*(j - 1)/7
Find s such that 3*s**2 - 29937186*s - 149686005 = 0.
-5, 9979067
Suppose 2*g**3 - 267818*g**2 - 1874840*g + 2142656 = 0. Calculate g.
-8, 1, 133916
Factor -5*q**3 - 2298710*q**2 - 160891325*q - 2815491000.
-5*(q + 35)**2*(q + 459672)
Factor 2*q**3 - 7978*q**2 + 15950*q - 7974.
2*(q - 3987)*(q - 1)**2
Factor -4*a**3 + 2145400*a**2 - 150163300*a + 2627772000.
-4*(a - 536280)*(a - 35)**2
What is n in 102992180512500*n**3 + 25748063282325*n**2 + 22692754*n/5 + 1/5 = 0?
-1/4, -1/11346375
Factor -2*x**3 + 2270*x**2 + 1489936*x - 1759995936.
-2*(x - 1004)**2*(x + 873)
Factor -3*l**2 - 137736*l + 42567699.
-3*(l - 307)*(l + 46219)
Solve 25*k**3 - 45197165*k**2 + 20427850799515*k - 12256694208735 = 0 for k.
3/5, 903943
Suppose t**3 + 786*t**2 - 324715*t - 325500 = 0. Calculate t.
-1085, -1, 300
Suppose 2*a**4 - 82924*a**3 + 845361840*a**2 + 295340408000*a - 594061600000 = 0. What is a?
-340, 2, 20900
Solve q**2 - 31662188*q + 250623537236836 = 0.
15831094
Find r such that -4*r**2 + 464261544*r - 13471173827328996 = 0.
58032693
Determine q so that 4*q**4 - 9644*q**3 - 1419168*q**2 - 51428720*q - 50019200 = 0.
-70, -1, 2552
Factor -3*p**2 - 15237528*p - 19348521629232.
-3*(p + 2539588)**2
Factor 5*t**2 + 2873230*t - 97695600.
5*(t - 34)*(t + 574680)
Solve v**3 - 12417490*v**2 - 24834983*v - 12417492 = 0.
-1, 12417492
Let 2*f**4/5 + 231302*f**3/5 + 6692085708*f**2/5 + 260720552008*f/5 + 467814709040 = 0. What is f?
-57806, -25, -14
What is u in -5*u**2 - 415245*u - 127833300 = 0?
-82740, -309
Factor l**3/7 + 29861*l**2/7 - 328582*l/7 + 298720/7.
(l - 10)*(l - 1)*(l + 29872)/7
Suppose u**2/5 - 11017*u/5 + 142376 = 0. What is u?
65, 10952
Factor t**3/3 + 1091257*t**2/3 + 99237001880*t + 99236638128.
(t + 1)*(t + 545628)**2/3
Factor 2*f**3/17 - 35656*f**2/17 + 159381306*f/17 - 4119845652/17.
2*(f - 8901)**2*(f - 26)/17
Factor -3*m**2 - 50529*m - 2569176.
-3*(m + 51)*(m + 16792)
Let 16*d**5/9 + 50258*d**4/9 - 38550*d**3 - 2109770*d**2/9 - 1920346*d/9 - 69256/3 = 0. What is d?
-3148, -3, -1, -1/8, 11
Factor -4*v**2 + 948804*v - 6641432.
-4*(v - 237194)*(v - 7)
Factor 3*h**2/2 + 117831*h/2 + 176733.
3*(h + 3)*(h + 39274)/2
Factor z**3/4 + 193793*z**2/4 + 872037*z/2 + 872028.
(z + 3)*(z + 6)*(z + 193784)/4
Find o, given that -30*o**5 - 301325*o**4 + 3267390*o**3 - 4876765*o**2 - 904950*o = 0.
-10055, -1/6, 0, 2, 9
Suppose g**2 + 60647752*g + 919537455663376 = 0. What is g?
-30323876
Suppose z**2/3 + 830*z/3 + 19327 = 0. What is z?
-753, -77
Suppose x**4 - 87183*x**3 + 2533450773*x**2 - 24533090709605*x - 147289767318282 = 0. Calculate x.
-6, 29063
Let h**2/2 + 45407*h/2 - 68115 = 0. Calculate h.
-45410, 3
Solve h**2/4 - 23192*h + 4728567/4 = 0.
51, 92717
Suppose -24*b**4/17 - 7879970*b**3/17 + 7223330*b**2/17 + 1313330*b/17 - 656666/17 = 0. What is b?
-328333, -1/3, 1/4, 1
Let 5*c**3 - 1570*c**2 - 347255*c - 345680 = 0. Calculate c.
-149, -1, 464
Let -2*l**3 - 2321488*l**2 - 9285910*l + 11607400 = 0. Calculate l.
-1160740, -5, 1
Suppose l**3 + 699*l**2 - 44640*l - 72082688 = 0. Calculate l.
-496, 293
Solve 2*j**4 + 552*j**3 - 149192*j**2 - 2208*j + 596736 = 0.
-444, -2, 2, 168
Suppose 46*r**4/5 + 9362*r**3/5 + 45292*r**2/5 - 75264*r/5 - 438336/5 = 0. Calculate r.
-4566/23, -4, 3
Factor 2*p**2/3 + 1892834*p/3 + 630944.
2*(p + 1)*(p + 946416)/3
Determine d so that -3*d**5/2 + 357*d**4 - 28890*d**3 + 839193*d**2 - 7238217*d/2 + 2808450 = 0.
1, 4, 75, 79
Find o such that 33*o**5 - 216*o**4 - 1599*o**3 + 6030*o**2 + 16200*o = 0.
-60/11, -2, 0, 5, 9
Solve -3*q**2 - 86859*q - 3729390 = 0.
-28910, -43
Factor -3*j**3 - 65028*j**2 + 1301460*j - 6508800.
-3*(j - 10)**2*(j + 21696)
Factor -5*v**3 - 10225*v**2 + 3774160*v + 11802333120.
-5*(v - 1011)*(v + 1528)**2
Factor 5*n**3/2 + 3272540*n**2 - 13090175*n/2 + 3272545.
5*(n - 1)**2*(n + 1309018)/2
Determine h, given that -h**5/2 + 21*h**4 - 255*h**3 + 1142*h**2 - 4065*h/2 + 1125 = 0.
1, 3, 10, 25
Let -2*j**5/7 - 682*j**4/7 + 67338*j**3 + 35852110*j**2 + 4378927532*j = 0. Calculate j.
-301, 0, 562
Factor 2*i**3/3 - 199234*i**2 - 4184012*i/3.
2*i*(i - 298858)*(i + 7)/3
Factor q**2/3 + 73199*q/3 + 4022920/3.
(q + 55)*(q + 73144)/3
Determine r, given that 21*r**5/4 + 15123*r**4/4 + 1518705*r**3/2 + 28450455*r**2 + 337863786*r + 943883928 = 0.
-338, -162/7, -17, -4
Determine m, given that -2*m**2/9 - 400558*m/9 + 5208268/3 = 0.
-200318, 39
Factor 3*g**4/2 - 14614491*g**3 + 47462961170520*g**2 - 51381234287968421925*g - 102762563501888413875/2.
3*(g - 3247665)**3*(g + 1)/2
Factor f**3/2 - 56063*f**2/2 + 779816955*f/2 + 167046752259/2.
(f - 28137)**2*(f + 211)/2
Factor m**2 + 506652*m - 2533285.
(m - 5)*(m + 506657)
Factor k**2/2 - 435201*k/2 + 65887047.
(k - 434898)*(k - 303)/2
Solve -2*g**4/9 + 8120*g**3/9 + 40676*g**2/9 - 105704*g/9 + 18970/3 = 0.
-7, 1, 4065
Suppose -14040*o**5 + 19558368*o**4 - 6805356174*o**3 - 4228939346*o**2 - 489461308*o = 0. What is o?
-7/15, -2/13, 0, 4181/6
Factor 2*u**3 + 3356*u**2 + 89298*u + 237744.
2*(u + 3)*(u + 24)*(u + 1651)
Suppose -5*i**3 + 77470*i**2 - 161308525*i - 161386000 = 0. What is i?
-1, 2480, 13015
Suppose 2*w**4/13 - 1940*w**3/13 - 167842*w**2/13 - 165900*w/13 = 0. What is w?
-79, -1, 0, 1050
Factor -2*m**3/3 + 75430*m**2/3 - 234854850*m - 41873186250.
-2*(m - 18945)**2*(m + 175)/3
Find n such that -4*n**2 - 319417848*n - 6376735101309444 = 0.
-39927231
Suppose -4*z**5 - 392*z**4 - 8508*z**3 + 58184*z**2 + 1560544*z - 3279360 = 0. What is z?
-61, -35, -16, 2, 12
Find i, given that i**4 - 21153*i**3 - 21155*i**2 + 21153*i + 21154 = 0.
-1, 1, 21154
Suppose 2*t**2/13 + 55784*t/13 + 27660870/13 = 0. What is t?
-27387, -505
Factor -3*i**2/8 - 2679*i/8 + 70725/4.
-3*(i - 50)*(i + 943)/8
Factor -u**3 + 9885*u**2 - 530819*u - 540705.
-(u - 9831)*(u - 55)*(u + 1)
Factor 2*t**2/11 + 12779268*t/11 + 25558528/11.
2*(t + 2)*(t + 6389632)/11
Factor -2*z**2/17 - 40878974*z/17 + 327031920/17.
-2*(z - 8)*(z + 20439495)/17
Factor -2*y**5/13 - 11760*y**4/13 + 200498*y**3/13.
-2*y**3*(y - 17)*(y + 5897)/13
Factor -4*m**3/5 - 834728*m**2/5 - 8710136240*m - 261274037856/5.
-4 | {
"pile_set_name": "DM Mathematics"
} |
/11))/(z**(9/4)/(z/(z/(z/(z*z**5*z))))) assuming z is positive.
z**(-391/44)
Simplify (t/t**(-19)*t)/t**(1/23) assuming t is positive.
t**(482/23)
Simplify ((r**(-1)*r)/(r**6*r*r*r*r))/((r*((r**(2/7)*r)/r)/r)/(r/(r/(r**(-3)/r))*r)) assuming r is positive.
r**(-93/7)
Simplify ((x/((x/x**(-1/3))/x*x))**(1/4))**(4/23) assuming x is positive.
x**(-1/69)
Simplify o**(-1/2)*o/((o/(o*o**(1/2)))/o*o)*(o**3/o)/o*o*o**(-4) assuming o is positive.
1/o
Simplify z**(-1/4)*z**(-3/5)*(z/(z**(2/7)/z)*z)**(-43) assuming z is positive.
z**(-16459/140)
Simplify s/s**(-29)*((s**(-5)/s)/s)/s assuming s is positive.
s**22
Simplify (k**(-11)*k)**(-3/20) assuming k is positive.
k**(3/2)
Simplify (y**3)**(-11/5) assuming y is positive.
y**(-33/5)
Simplify (y/(y/(y*y**(3/19)*y*y)*y)*y**(-2/47)/y)**(9/7) assuming y is positive.
y**(8964/6251)
Simplify (z/(z/(z*z**(-5/3)*z))*z)**(-8/15) assuming z is positive.
z**(-32/45)
Simplify (y**6/y)/(y**(-2/9)/y*y)*y**8/y**(8/3) assuming y is positive.
y**(95/9)
Simplify (p*p*p**6*p*p)/(p/(p*p**4*p*p))*(p/p**0)**(-8/9) assuming p is positive.
p**(136/9)
Simplify (a**0)**(8/9)*a**(-5)*a/(a*a**2/a) assuming a is positive.
a**(-6)
Simplify ((s*s**(-1/6))/s)/s*s/s**(-7)*s*s*s**(-2/9)*s*s/(s/(s/s**7*s))*s assuming s is positive.
s**(101/18)
Simplify (b**(-1)*b*b**0/b)/(b**(-6)*(b*b*(b/b**(-6))/b*b)/b) assuming b is positive.
b**(-3)
Simplify k**(-12)*k/k**(-2/33) assuming k is positive.
k**(-361/33)
Simplify (h**2/h)**(-1/6) assuming h is positive.
h**(-1/6)
Simplify (((m/m**25)/m)/m)**(1/50) assuming m is positive.
m**(-13/25)
Simplify (u*u/(u*u**6)*u)/(u/(u*(u**(-1)*u*u*u)/u*u*u)) assuming u is positive.
1/u
Simplify o**(-9)/o*((o/(o**2/o))/o*o)/o assuming o is positive.
o**(-11)
Simplify r**(13/4)/(r/((r/(r*r/(r/((r*r/(r/((r**(-1/29)/r)/r)))/r))))/r*r)*r) assuming r is positive.
r**(381/116)
Simplify n*n*n**14/n*n*n**(-1/10) assuming n is positive.
n**(159/10)
Simplify ((d**(1/4))**(-14/9))**(6/11) assuming d is positive.
d**(-7/33)
Simplify (h*h**(1/2))**(-9/4) assuming h is positive.
h**(-27/8)
Simplify (v/v**(2/53))**36 assuming v is positive.
v**(1836/53)
Simplify ((c/(c**(-3/10)/c))/(c*c*c/c**9*c*c))**30 assuming c is positive.
c**189
Simplify (s*s**(1/8))**(40/9) assuming s is positive.
s**5
Simplify ((q**(-5)*q)/q**0)/(q*q**(-2/11)*q*q)**(15/8) assuming q is positive.
q**(-817/88)
Simplify (o/(o*o**(-1/3)/o))**(26/3)/(o**(-7)*(o*o**(4/3))/o*o*o) assuming o is positive.
o**(137/9)
Simplify y**(-7)/y*y**(-4/15) assuming y is positive.
y**(-124/15)
Simplify (k**0)**(9/8) assuming k is positive.
1
Simplify (w*w*w**(1/14))/w**(2/23) assuming w is positive.
w**(639/322)
Simplify (b*b**(-4))**(-3/4) assuming b is positive.
b**(9/4)
Simplify (v*v**(-2)*v**6)**(-2/69) assuming v is positive.
v**(-10/69)
Simplify (q/(q*q/(q*(((q*q**2)/q)/q)/q)))/(q*q*q**(-2/7)*q)*q**(-2/7)/(q*q**(-1/2)*q) assuming q is positive.
q**(-9/2)
Simplify d**(1/4)*(d*d**(-5/2))/d assuming d is positive.
d**(-9/4)
Simplify (n**3/(n**0*n))**(-4/3) assuming n is positive.
n**(-8/3)
Simplify o**(-4/13)*(o/(o*(o**(1/11)*o)/o))/o assuming o is positive.
o**(-200/143)
Simplify (p/(p/(p/(p*p**(-2)*p))*p*p))**(-4)*p**(-2/11)/(p/(p*p**(-2/7)*p*p)*p) assuming p is positive.
p**(349/77)
Simplify ((h/(h*h**(-2/3)))/h*h)/(h**(2/23)/h*h) assuming h is positive.
h**(40/69)
Simplify (f*f/((f*(f/f**(-2/7))/f*f*f)/f)*f)**27*(f**6/f)/(f/(f/f**(1/8))) assuming f is positive.
f**(1353/56)
Simplify (h/h**(-1/3))**(-1/35) assuming h is positive.
h**(-4/105)
Simplify (z/(z*z**(1/4))*z*z**(-2/7))/((z*z/z**(-3/7))/(z/z**(-2/7))) assuming z is positive.
z**(-19/28)
Simplify (((b**(-3/2)*b)/b*b*b)/b)/b**(-2/23) assuming b is positive.
b**(-19/46)
Simplify (r**23*r)**(-3/16) assuming r is positive.
r**(-9/2)
Simplify (k/(k/(k*k*(k/(k*k/(k/(k/(k**(-23)*k)*k*k))*k)*k)/k*k*k)))/(k/(((k*k/(k/(k*k**10/k*k)))/k)/k*k)*k*k) assuming k is positive.
k**(-14)
Simplify ((r*r**(-2)*r)/(r**(1/3)*r))/(r**(-1/2)*r)**(-13) assuming r is positive.
r**(31/6)
Simplify f**(4/7)/(f**(-3/2)*f*f)*(f/((f*f/((f**(-1/2)*f*f)/f))/f))**(-2/39) assuming f is positive.
f**(25/546)
Simplify (h/h**11)/h**(-1) assuming h is positive.
h**(-9)
Simplify f**(-1/13)*f**(-2/3) assuming f is positive.
f**(-29/39)
Simplify a*a**1*a*a*a*a**7 assuming a is positive.
a**12
Simplify (d**1)**(-33)/(d/d**(1/3))**3 assuming d is positive.
d**(-35)
Simplify n**(-2/17)*n**(-1/32) assuming n is positive.
n**(-81/544)
Simplify s**9*s*(s**(-4/7)*s)/s assuming s is positive.
s**(66/7)
Simplify (b**(-2/5))**(-4/17)*b**(2/13)*b/(b/(b/(b*(b/(b/b**(2/7)))/b))) assuming b is positive.
b**(7443/7735)
Simplify ((p**(-2/5))**13)**(2/5) assuming p is positive.
p**(-52/25)
Simplify (d/(d*d**(3/2)*d)*d*d)/(d/d**(2/3))*d**5/d**7 assuming d is positive.
d**(-17/6)
Simplify ((t*((t*t*t/t**(-2/7))/t)/t*t*t)**0)**(12/7) assuming t is positive.
1
Simplify (((l/(l*l**(-2/23))*l*l)/l)/l**15)**(-18/7) assuming l is positive.
l**(5760/161)
Simplify v**7/v**(-6/5)*(v**1)**(-2/13) assuming v is positive.
v**(523/65)
Simplify ((s*s**(1/9)*s)/s)/(s/(s*s**(-1/45))) assuming s is positive.
s**(49/45)
Simplify p**(-4/5)/((p*p**(-3/13))/p*p*p) assuming p is positive.
p**(-167/65)
Simplify (u*u**22)/u*u*u*u**(1/4)/u assuming u is positive.
u**(93/4)
Simplify (g*g**(-1/3)*g*g*g)**50/(((g*g/(g*g**0))/g)/g)**26 assuming g is positive.
g**(628/3)
Simplify (v*v**(2/7)/v*v*v)**(-7)*v*v**(2/9)*v**(3/5)*v assuming v is positive.
v**(-593/45)
Simplify (w*w**(-1/3))**(-25)/(w**3*w*w*w**(-2/23)) assuming w is positive.
w**(-1489/69)
Simplify q**(-1/2)*q**(4/7)*(q*q**(2/5))/q**4 assuming q is positive.
q**(-177/70)
Simplify (i/(i*(i**4/i)/i*i))/(i/(((i/i**7)/i)/i)*i)*(i*i/(((i*i/i**(2/7))/i)/i))**46 assuming i is positive.
i**(645/7)
Simplify p/(p**(1/25)/p)*p**3/p assuming p is positive.
p**(99/25)
Simplify (w**(-7/2)/(w**(4/3)*w))/(w**1/w)**(6/23) assuming w is positive.
w**(-35/6)
Simplify (p**(-2/5))**(-44)/(p*p**6*p**(1/3)/p*p*p) assuming p is positive.
p**(139/15)
Simplify ((t*t/(t/t**(2/3)))/(t/t**(-3)))/(t**(2/3)*t)**(1/8) assuming t is positive.
t**(-61/24)
Simplify u/u**(-4)*u*(u/(u*u/(u/(u**(-4/5)*u))))/u assuming u is positive.
u**(24/5)
Simplify m**(-5)/(m**(-4)/m)*(m**(-2))**(4/19) assuming m is positive.
m**(-8/19)
Simplify y*y**(2/3)*y/(y**(1/3)*y)*(((y*y**(-1/3))/y)/y*y)**12 assuming y is positive.
y**(-8/3)
Simplify u**(-43)*((u*u**18*u)/u)/u assuming u is positive.
u**(-25)
Simplify (o*o**5)/(o/(o/(o*o**(7/2)))*o*o) assuming o is positive.
1/sqrt(o)
Simplify (g**(-1/2)*g*g)/(g*g/((g/((g*g**(-8/5)/g*g)/g))/g)*g)*(g/g**(-3/11))/g**4 assuming g is positive.
g**(-289/110)
Simplify r*r**(-14)*r**(-7) assuming r is positive.
r**(-20)
Simplify ((j**(3/8))**12)**37 assuming j is positive.
j**(333/2)
Simplify (w**(-3/2)*w**(6/7)/w*w)**(-1/20) assuming w is positive.
w**(9/280)
Simplify (u*(u/u**(-16/7)*u)/u*u)/(u/u**(4/13)) assuming u is positive.
u**(418/91)
Simplify (a/(a/a**(-1/5)))**(37/2) assuming a is positive.
a**(-37/10)
Simplify r/(r/(r/((r**(-5/3)/r)/r)))*r/(r**(-4/7)*r)*r**(-2)*r**5 assuming r is positive.
r**(173/21)
Simplify ((f/(f/f**11))/f*f**6)**46 assuming f is positive.
f**736
Simplify (v**15)**(-4/11) assuming v is positive.
v**(-60/11)
Simplify u**(-1/8)/(u**(1/2)*u) assuming u is positive.
u**(-13/8)
Simplify (v**(-4/9))**(-3/4) assuming v is positive.
v**(1/3)
Simplify ((y**(-2/45)/y)/y)**41 assuming y is positive.
y**(-3772/45)
Simplify (((o/(o/(o**0/o)))/o)/o)/o**8 assuming o is positive.
o**(-11)
Simplify (q**(-6)*q)/q*q**9 assuming q is positive.
q**3
Simplify (u**(1/4))**6/(u**(-3/2)*u/(u/(u**(-6)/u))) assuming u is positive.
u**10
Simplify ((g**(-1/11)*g)/g)**(-50) assuming g is positive.
g**(50/11)
Simplify s**(-6)*s*s**(-5/2)/s*s assuming s is positive.
s**(-15/2)
Simplify p*(p*p**(-14))/p*p**(-5) assuming p is positive.
p**(-18)
Simplify ((n*n*n/(n**(-2/5)*n)*n)**(1/23))**(-18) assuming n is positive.
n**(-306/115)
Simplify (p*p**(-11)*p)/p**12 assuming p is positive.
p**(-21)
Simplify (b*(b**(1/3)/b*b*b)/b)**(-16)/((b/(b**(-2/17)*b))/b**(-1/2)) assuming b is positive.
b**(-2239/102)
Simplify p**(-3/2)/(p/(p/(p**21*p))) assuming p is positive.
p**(-47/2)
Simplify (w*w/(w/w**10))/((w*w/w**(3/5))/w)*((w/(w*w*w*w**(1/2)*w*w))/w)**41 assuming | {
"pile_set_name": "DM Mathematics"
} |
escending order.
4/7, k, 0
Suppose 6*v = 5*v. Sort v, 1, -5 in ascending order.
-5, v, 1
Let d = -2 - 1. Let s = -10 + 14. Sort -2, s, d in descending order.
s, -2, d
Let d = -4 + 4. Let p = d - 2. Let x be (-15)/25 + p/5. Put 2, x, -5 in increasing order.
-5, x, 2
Let a(j) = -2*j + 7. Let w be a(6). Let p(i) = -i**2 - 4*i + 5. Let b be p(w). Put -4, -5, b in increasing order.
-5, -4, b
Suppose -4*z - z = 20. Let a(j) = -j - 2. Let o be a(-5). Suppose w - 3*t - 25 = t, o*w = -5*t - 10. Sort w, -1, z in increasing order.
z, -1, w
Let v = -12 - -2. Put v, -4, -1 in ascending order.
v, -4, -1
Let k(n) = n**3 - 7*n**2 - 2*n + 10. Let h be k(7). Put h, 0, -2 in decreasing order.
0, -2, h
Suppose -5*x + 3*x + 2 = 0. Sort 0, x, -3 in descending order.
x, 0, -3
Let t = -0.1 + -4.9. Put 3, t, -2/7 in ascending order.
t, -2/7, 3
Let o(r) = -r**2 + 7*r + 5. Let y be o(7). Let p(j) = 0*j**3 + y*j**2 + 3 - j**3 - 4*j**2. Let w be p(0). Sort -2, w, 5.
-2, w, 5
Let p be 4 + 0 + (-2 - -1). Let l(x) = 3 + 10 - x - 7. Let j be l(p). Sort 4, j, -1 in decreasing order.
4, j, -1
Let k = -1/26 + 7/13. Let c = 1 + 0. Let o = 0 + c. Sort o, k, 0.1 in ascending order.
0.1, k, o
Let l = 0.82 - 0.12. Let d = 0.3 + l. Sort 1/2, 1/5, d in decreasing order.
d, 1/2, 1/5
Let w = -3 + -7. Let a = w + 8. Sort -0.1, a, 3 in ascending order.
a, -0.1, 3
Let p(w) = -13*w**3 + 2*w**2 + 2*w + 1. Let s be p(-1). Suppose s = -5*b + 4, -3*l = -4*b - 14. Put -1, 0, l in decreasing order.
l, 0, -1
Let n be -6*4/(-6) - 0/4. Sort n, 2, 1, -2 in descending order.
n, 2, 1, -2
Let y = 13 + -12.8. Put -0.3, -3, y in increasing order.
-3, -0.3, y
Let h be (-10)/14 - (-12)/(-42). Suppose -19 = -3*l + d, -2*l - 6 = -d + 5*d. Suppose 4*z - 3*z = -4. Sort l, h, z.
z, h, l
Let m be (-28)/(-98) - (-23)/(-7). Sort m, 4, -4.
-4, m, 4
Let a(p) = 3*p + 1 - 4 - 2*p**2 + 4 - 3 - p**3. Let g be a(-3). Let l = 1 - -2. Sort g, l, -5.
-5, g, l
Let n = -18 + 13. Let c = -11 + 13. Put c, n, -2 in increasing order.
n, -2, c
Let h be 6/((-1)/(-1)*-2). Let p be (1 + h)*(-12)/8. Put p, 2, -5 in increasing order.
-5, 2, p
Suppose -3*x + 8*x + 10 = 0. Let z(l) = -1 + 2*l + 4*l**2 + 1 + l**3 + 3. Let a be z(-4). Put x, a, 4 in descending order.
4, x, a
Let w = 4 + 0. Suppose -4*j = -2*n - 8, -4*n = -4 - 4. Suppose -23 = -j*y - 8. Put w, 0, y in increasing order.
0, w, y
Let p(v) be the first derivative of 7*v - 1/2*v**2 - 2. Let j be p(6). Put -5, 5, j in decreasing order.
5, j, -5
Let i be (-6)/14*(-7)/(56/8). Sort -5, 1/5, i, 1/10.
-5, 1/10, 1/5, i
Let f be (-4)/12 - (-3)/9. Suppose -q + 18 = 4*c, 0 = -q + 2*q + c - 3. Sort f, q, -5 in decreasing order.
f, q, -5
Let h(k) = -k**3 - 3*k**2 + 6*k + 2. Let z be h(-4). Let j be (30/9 - 0)*102/68. Sort z, j, -3.
z, -3, j
Let t(l) = -l**2 - 3*l + 2. Let a be t(-2). Suppose 6 = a*d + 18. Let i be 80/(-15) + (-2)/(-6). Sort i, 5, d in decreasing order.
5, d, i
Let x = -7 + 7. Suppose -1 = -h - x. Put 3, h, -4 in descending order.
3, h, -4
Let g be (-2305)/(-7950) + 2/(-6). Let a = g + -3/53. Let p = 4 + -5. Put a, -4, p in decreasing order.
a, p, -4
Let c = 187 - 932/5. Suppose n - 2*n = 6. Let r = -5 - n. Sort r, c, 0.3 in ascending order.
0.3, c, r
Suppose 2 = 3*w - 2*w. Put w, 11, 3 in increasing order.
w, 3, 11
Let y be 4 + (-4 - 0) + 1. Suppose 2*l - 5*m + 0*m - 10 = 0, -5*l = -2*m - 25. Sort l, y, 3.
y, 3, l
Suppose 2*a = 2 + 2. Suppose a = 5*c - 8. Suppose 0 = c*k - 5*n - 1 - 4, 0 = -5*k + 4*n + 21. Sort k, -3, -2 in decreasing order.
k, -2, -3
Suppose 4*n - 25 = -5*c, 5*n - c - 41 = -4*c. Let u be 4*1*(-5)/n. Let t = 3 - 0. Put u, -3, t in ascending order.
-3, u, t
Let v(a) = -a**2 + 21. Let s be v(5). Sort s, 5, -3, 11.
s, -3, 5, 11
Let i = -0.2 - -0.3. Let q = -0.7 - -6.9. Let l = 1.2 - q. Put l, i, -1 in increasing order.
l, -1, i
Let a = -1.5 + -16.5. Let x = a - -13. Let s = 8 + x. Sort s, -1/3, -1/5.
-1/3, -1/5, s
Let j be (-11)/(-15) + 6/10. Suppose 3*t + 7 = 3*y + y, 0 = -5*y + 5*t + 5. Sort j, y, 0.5.
0.5, j, y
Let h = 70 + -69.9. Put h, 2, -4 in increasing order.
-4, h, 2
Let j = -2 + 8. Sort 1, -2, j.
-2, 1, j
Let k(q) = q**2 + 18*q + 27. Let d be k(-16). Put 4, d, 2 in ascending order.
d, 2, 4
Suppose 3 = -6*j + 3*j. Suppose -5 = 4*a + 3. Put j, a, 1 in descending order.
1, j, a
Let h = -0.12 + -1.18. Put -1, 1, 3, h in ascending order.
h, -1, 1, 3
Let f = 64 - 64.06. Sort -0.5, -3, f in decreasing order.
f, -0.5, -3
Let k be 2 + 1*3/3. Suppose z - 6 = 3*z, 0 = w - k*z - 11. Suppose -30*g + 10 = -32*g. Sort w, g, -4.
g, -4, w
Let z(r) = -r**2 - 9*r - 4. Let b be z(-10). Let y be 1/(3/(b - -2)). Put 3, y, 5 in ascending order.
y, 3, 5
Let r = 8.6 + -9. Sort r, -0.5, -1 in descending order.
r, -0.5, -1
Let x(t) = t + 8. Let l be x(-4). Let f be -6 + 6*2/l. Let p = 7 + f. Sort p, 0, -1.
-1, 0, p
Let o(s) = s**2 - 6*s - 9. Let k be o(7). Let t = 5 - 3.8. Let l = t + -1. Sort k, -3, l.
-3, k, l
Suppose -3*k + 5 + 1 = 0. Suppose 5*h - 15 = k*h. Sort h, -3, -5 in ascending order.
-5, -3, h
Let j(k) = k**3 + 9*k**2 - 21*k - 23. Let s(n) = -n**3 - 8*n**2 + 22*n + 24. Let q(u) = -6*j(u) - 5*s(u). Let x be q(-15). Sort -1, x, -2 in increasing order.
-2, -1, x
Let s be (1 - 2)*2/(-2). Let v(i) = i**3 - 5*i**2 + 2*i + 5. Let g be v(4). Sort s, g, 2 in increasing order.
g, s, 2
Let l be 3/(15/(-10) - 0). Sort l, -3/4, 4.9 in decreasing order.
4.9, -3/4, l
Suppose 13*v = 5*v - 40. Let b be (1 + 7/(-5))*5. Let u be b + 1 + 1 + 1. Put v, -3, u in descending order.
u, -3, v
Let r = -24 + 22.7. Let y = r - -3.3. Sort -0.4, y, 1 in decreasing order.
y, 1, -0.4
Suppose -q - 4 = 5*h, -5*q + h + 0*h - 20 = 0. Put 5, -11, q, 1 in ascending order.
-11, q, 1, 5
Suppose 5*k - 30 = -2*d, 3*d = 2*k + 6 + 58. Suppose 0 = 4*m + 4*y - 3 - 9, 5*y = d. Put -3, m, -2 in ascending order.
-3, -2, m
Let q be 603/1 + (-2)/2. Let k be ((-20)/35)/((-12)/q). Let t = k + -28. Put t, 0.5, 0 in descending order.
t, 0.5, 0
Suppose -5*w = -5 - 10. Let k(z) = 39*z**2 - 38*z**2 - 2 - 1. Let a be k(2). Put w, a, -2 in increasing order.
-2, a, w
Let a be (-4)/14 + (-48)/(-21). Put -8, a, 1 in decreasing order.
a, 1, -8
Let p be 75/6*(-174 - -2). Let k be (-4)/6 + p/(-21). Let o = -102 + k. Put o, -1/4, -1 in descending order.
-1/4, o, -1
Suppose 0 = -6*c + 3*c + 12. Sort 4/7, 0.4, c.
0.4, 4/7, c
Let u(l) = 4*l - 3. Let c be u(1). Put -2, c, -1, 0 in decreasing order.
c, 0, -1, -2
Let z = 5.1 - 5. Let i = 0.5 - z. Sort i, 3, -2/9 in ascending order.
-2/9, i, 3
Suppose 4*a = 15 + 17. Let o be a/5 - (-4)/10. Suppose 0 = -5*k + 7 - 2. Sort 0, o, k in decreasing order.
o, k, 0
Suppose i - 6 = -3*n, -4 = -n - 1. Let b(w) = -w**2 - 10*w - 2. Let g be b(-10). Put g, 4, i in increasing order.
i, g, 4
Let q = -2063/16 - -129. Put -1/2, q, 2/9 in ascending order.
-1/2, q, 2/9
Let j(p) = -11*p**3 + p**2. Let v be j(1). Let q = -6 - v. Let w = -2 + q. Sort w, -3, 1 in descending order.
w, 1, -3
Suppose 5*j - 3 - 3 = -2*n, -9 = -3*n - 3*j. Let d be (-2)/1*15/(-6). Put n, 2, d in descending order.
d, n, 2
Let a = -96 + 96. Sort -4/9, a, -2/3 in ascending order.
-2/3, -4/9, a
Let f be (-6)/8*(-24)/9. Sort 1/6, f, 5.
1/6, f, 5
Suppose -w + 3*q = 20, 30 = -3*w - q + 4*q. Put -2, 1, w in descending order.
1, -2, w
Let j(n) = n**3 - 2*n**2 + 1. Let d be j(1). Put d, -8, 3 in decreasing order.
3, d, -8
Let a be ((-2)/(-5)*5 - 9) + -3. Sort a, 0.2, 5.
a, 0.2, 5
Let l = -0.72 - -4.82. Sort -1, -1/8, l in descending order.
l, -1/8, -1
Suppose 17 = -7*g - 18. Sort 12, -3, g in increasing order.
g, -3, 12
Suppose 3*t - 3 = 2*t. Put t, 11, -5 in increasing order.
-5, t, 11
Suppose p = -p - 3*a - 7, -3*p + 2*a = 17. Let t(v) = 2*v + 30. Let q be t(-13). Put p, -2, q in descending order.
q, -2, p
Let o = 10 + -8. Let x = o + 2. Suppose -5*t = -4*i, 0 = -x*i + i - t. Sort -5, 3, i in ascending order.
-5, i, 3
Suppose 6*r - r = 0. Suppose r = -2*a - 2*a. Put a, 1, -5 in descending order.
1, a, -5
Let s(r) = r + 6. Let h be s(0). Let b be (-32)/h + (-8)/(-24). Sort b, -3, -1 in ascending order.
b, -3, -1
Suppose 7 = -3*z - 2*i - 4, -3*z - i - 10 = 0. Let h = -11.1 + 2.6. Let f = -8 - h. Sort -1, f, z.
z, -1, f
Let m be (-3 - -4) + (-9)/12. Let s = -1/175 + 8927/350. Let w = -25 + s. Put m, 0.4, w in increasing order.
m, 0.4, w
Let m | {
"pile_set_name": "DM Mathematics"
} |
i + 1 - 9*i + i + s*i. What is r(n)?
11
Let x(p) = 4 + 4 + p**3 - 6*p + 2*p**2 - 6 + 3*p**2. Let o(h) = -h + 5 - 5 + h**3. Let b be o(-2). Give x(b).
2
Let q = -14 - -16. Suppose p = 5*f + 38, 2*f - 3*f - q = -3*p. Let t(a) be the second derivative of a**3/3 + 5*a**2/2 + 8*a. What is t(f)?
-11
Let v(j) = -4*j - 22*j + 17341*j**2 + 13 - 17348*j**2 + j**3 + 4*j. Calculate v(9).
-23
Let d(p) = 11*p - 79. Let i(k) = -k**2 - 85*k + 8. Let s be i(-85). Determine d(s).
9
Let g(l) be the first derivative of 1/4*l**4 + 3*l**3 + 79 - 11*l + 7/2*l**2. Calculate g(-8).
-3
Let x(s) = 8*s + 1. Suppose 4*h - 13 - 181 = 2*u, 5*u = 2*h - 109. Let q be (-2 + (2 - h))*-1. Suppose 3*n = -q + 41. Give x(n).
-15
Suppose 22*f - 4*b = 21*f + 346, 4*f = 3*b + 1397. Let i(r) = -1 + f*r**2 + r**3 - 708*r**2 + 352*r**2. Calculate i(6).
-1
Let g(f) = 3*f**3 + 5*f**2 - 5*f. Let q be g(3). Suppose -7*p + 937 = q. Let r(s) = 7*s - p + 113 - 6*s. Calculate r(5).
0
Let m(b) = b - 1. Let r(u) = 1. Let q(c) = 5*m(c) + 4*r(c). Let v(i) = i**2 + 14*i - 46. Let a be v(-17). What is q(a)?
24
Suppose -128*s + 12642 = -386*s. Let t(u) = -4*u - 192. Determine t(s).
4
Let m(f) = 7*f + 19. Let o = 12671 - 12663. Give m(o).
75
Let g(w) = w**3 + 2*w**2 - 5*w - 3. Let j be (-225)/(-45) - (5/5 - (-1 - -1)). Determine g(j).
73
Let i(s) be the second derivative of 3/2*s**2 + 5/6*s**3 + 1/3*s**4 + 2*s + 15. Give i(-3).
24
Suppose -20 = 2*n - 2*h, -3*n = 6*h - 3*h. Let b be (((-4)/n)/2)/(12/60). Let i(z) = 3*z**b - 2*z**2 + 6*z + 31 - 34. What is i(-5)?
-8
Let w be 1666/(-21)*15/(-10). Let b = -127 + w. Let i(j) = -j - 1. Calculate i(b).
7
Let p(q) be the third derivative of q**4/24 - 25*q**3/6 - 14*q**2 - 81. Calculate p(11).
-14
Let d(x) = -3*x**2 - x. Suppose -2*w + 384 = -8*w. Suppose 2*u + 44 - 36 = 0. Let j be 3/u*(w/12 + 4). Give d(j).
-4
Let l(v) be the second derivative of 11*v**3/6 + 55*v**2/2 + 5481*v. Determine l(-8).
-33
Let g(m) = m**2 - 8*m + 2. Let z be 10/(-2 - 27/(-12)). Suppose 0 = 5*x - 6*x. Suppose x = 6*t - 8 - z. Calculate g(t).
2
Let a(g) = 215*g - 655*g + 213*g - 2 + 222*g. Give a(3).
-17
Let h(a) be the third derivative of -5*a**4/6 - 35*a**3/6 - 50*a**2 + 45*a. What is h(-2)?
5
Let h(r) = 2*r**2 - r - 5. Let d(y) = 11*y**2 - 14*y + 42. Let c(u) = -d(u) + 6*h(u). Determine c(5).
-7
Let j(u) = 174*u - 1470. Let v(f) = 11*f - 91. Let i(s) = -2*j(s) + 33*v(s). Calculate i(4).
-3
Let s(i) = i**2 - i + 2. Suppose -2*z = 5*v + 1, -z - 755*v = -757*v + 5. Suppose 94 = -3*t + d + 1, 5*t + 3*d + 169 = 0. Let k be z/4 + 40/t. Calculate s(k).
8
Let x(t) be the second derivative of t**5/20 + 3*t**4/4 + 4*t**3/3 - 5*t**2/2 + 11*t. Suppose 7*q = 9*q - 74. Let p = q + -45. What is x(p)?
-5
Let y(o) = 17*o**3 + 6*o**2 - 5*o + 3. Let v(a) = 25*a**3 + 7*a**2 - 7*a + 1. Let x(i) = -2*v(i) + 3*y(i). What is x(-6)?
-59
Let q(x) = x**2 + x. Suppose 0 = -7*j + 8*j - 7. Let d be (1 - j)/((-3)/(-2)) - -4. Give q(d).
0
Let t(i) = -13 + 4*i - 9*i - 14 + 0*i - 18. Calculate t(-8).
-5
Let x(u) = -20*u**2 - 32*u + 68. Let m(p) = -25*p**2 - 40*p + 87. Let g(r) = 9*m(r) - 11*x(r). Determine g(3).
-34
Let p(q) = 17*q**3 + 9*q**2 - 27*q + 11. Let s(k) = -5*k**3 - 4*k**2 + 9*k - 4. Let r(g) = -2*p(g) - 7*s(g). Give r(-11).
-16
Let v(q) = q**2 - 5*q - 1. Let b be v(4). Let t be 0/((-9)/15*5). Let z(f) = -2 + 8*f**2 + f**3 - 6*f**2 + t*f**2 - 7*f + f**2. Determine z(b).
-17
Let x(z) = z**3 - 4*z**2 + 4*z - 1. Let t(g) = -784*g**2 - 5*g - 4. Let c be t(-1). Let f = 786 + c. Give x(f).
2
Let x(b) = -50*b - 40. Let m be (1/(-4))/((-10045)/(-196) + -51). What is x(m)?
10
Suppose 17 + 81 = 4*t + 18*i, -5*t - 5*i = -35. Let u(y) = y**3 - 8*y**2 + 6*y + 9. Let g be u(7). Let w(d) = -g*d + 0*d**3 + 3*d**2 + d**3 - 2*d**3. Give w(t).
0
Suppose 0 = 3*x + 3. Let n(t) = -5*t + 23. Let c(a) = -43*a + 219. Let h(b) = -2*c(b) + 19*n(b). Give h(x).
8
Let u(p) be the third derivative of 0 + 1/6*p**4 - 141*p**2 + 0*p - 1/2*p**3. Determine u(-4).
-19
Let d(z) = z + 7. Let o(l) = 2*l - 60. Let w be o(35). Suppose 0 = -w*c - 16*c - 104. What is d(c)?
3
Let z(h) = 35*h**2 + 11*h + 15. Let s(c) = -19*c**2 - 5*c - 7. Let v(u) = 13*s(u) + 6*z(u). Determine v(-1).
-39
Let a(r) = -r**3 - r**2 + 10*r + 1. Suppose 0 = 5*z + 11*z + 37 + 43. What is a(z)?
51
Let r(t) = t - 2. Let k(v) = v**3 - 18*v**2 + 35*v - 17. Let p(o) = -k(o) + 2*r(o). Give p(16).
-3
Let x be (-3 - -14*6/12) + -1*4. Let w(v) be the third derivative of -1/8*v**4 + x*v - 21*v**2 + 0 + 1/60*v**5 + 1/2*v**3. Calculate w(3).
3
Let w(f) be the second derivative of 217*f - 1/2*f**2 + 0 + 1/20*f**5 - 13/6*f**3 - 5/12*f**4. Determine w(7).
6
Let p(d) = -11*d - 260. Suppose -4*z + 4 = 2*w + 116, 106 = -4*z - w. Calculate p(z).
15
Let g(p) = p**3 - 18*p**2 - 2*p - 322. Let k be g(19). Let n(c) = 48*c - 52. Determine n(k).
-4
Let i(l) = l**2 + 2*l - 1. Let p(w) = w**3 + 12*w**2 - 9*w - 19. Let b be -10 - 1/((-1)/(-2)). Let f be p(b). Let d = f - 91. Give i(d).
-1
Let r(w) be the third derivative of -w**5/60 - w**4/8 + w**3/2 + w**2. Let f = -772 + 386. Let p = -391 - f. Calculate r(p).
-7
Let r(l) = -15*l + 4*l + l**3 + 11*l + 3 + 3*l + 7*l**2. Let x be r(-5). Let f(t) = 1 + 3*t + 73*t**2 - 36*t**2 - x*t**2. Determine f(-2).
-9
Suppose 2*w + 5 = -9. Let u(s) be the second derivative of -s**6/720 - s**5/120 + 70*s**4/3 + 278*s. Let f(i) be the third derivative of u(i). Determine f(w).
6
Let u(t) = -9 - 1200*t + 3608*t - 1204*t + 30 - 1196*t. Determine u(0).
21
Let z(g) = -3*g - 62. Let h be z(-24). Suppose -h*q - 120 = 10*q. Let i(x) = x + 7. What is i(q)?
1
Let n(d) = 7*d**2 - d + 22. Let f(k) = -19*k**2 + 2*k - 67. Let w(r) = -4*f(r) - 11*n(r). What is w(-4)?
-2
Let l = 4 + -11. Let d(j) = 10*j + 240. Let z be d(16). Let g(a) = -8*a**2 - 778 + 388 + z - 5*a - a**3. Give g(l).
-4
Let d(h) = -2*h**3 + 12*h**2 - 9*h - 3. Suppose -318*b = -320*b + 10. Suppose 5*l - b*p = -p + 21, 2*p = 4*l - 18. Determine d(l).
2
Suppose -u = -4*m + 20, -25 = -7*u + 3*u - 5*m. Suppose u = d - 243 - 82. Let n(a) = 0*a - d + a + 318. Determine n(10).
3
Let x(b) = b**3 + 5*b**2 + 5*b + 7. Let r = -501 + 498. Let l be (-5 + 20/3)*r. Give x(l).
-18
Let v be (-4404)/4037*(-3)/(12/22). Let z(b) = -b + 21. Calculate z(v).
15
Let c(v) = 34*v**2 + 11*v**2 + 0*v + 2*v + 53 + v**3 - 33*v**2 + 22*v**2. What is c(-34)?
-15
Let f(s) = -16*s - 111. Let t be 5/(-2)*2640/825. What is f(t)?
17
Let z be 92/28 + 1/((-7)/2). Let k(m) = -28*m + 14*m - z + 6*m. Calculate k(3).
-27
Let i(p) be the first derivative of p**5/60 - p**4/6 - 67*p**3/3 - 22. Let x(w) be the third derivative of i(w). Determine x(4).
4
Let x(a) be the third derivative of -a**5/60 - a**4/3 - 5*a**3/3 + 5*a**2. Suppose -u + 1 = n, 295*n - 293*n - 56 = 4*u. Give x(u).
-19
Let j(z) = -7*z + 10 - 55 + 120 + 3*z**2 - 48 - 47. Give j(-6).
130
Let h(l) be the third derivative of -l**5/15 - l**4/2 + 2*l**3 + 6539*l**2. What is h(-5)?
-28
Let x(b) = 20*b - 4. Suppose -59*m + 54*m = -4*g - 17, -5*g - 12 = 3*m. Give x(m).
16
Let l(t) be the third derivative of 0 + 0*t - 1/6*t**3 - 21*t**2. Let q(m) = 4*m + 2. Let n(x) = -6*l(x) - q(x). What is n(3)?
-8
Suppose -34*k + 31*k = u + 16, 3*u + 4*k = -28. Let t(n) = 4*n + 66. Calculate t(u).
50
Let g(l) = -2*l - 1. Let m be ((-7)/(-98)*7)/(1/(-2)). Let c(f) = 14*f + 4. Let b(p) = m*c(p) - 6*g(p). What is b(-1)?
4
Let i(w) = 31*w + 145. Let c(d) = 33*d + 178. Let f(x) = -5*c(x) + 6*i(x). Determine f(2).
22
Let m(w) be the second derivative of -w**5/20 + 2*w**4/3 - 5*w**3/2 + 28*w**2 - w - 3188. Determine m(7).
0
Suppose p - 3*p - 20 = 0. Let b(g) be the second derivative of g**5/20 + 11*g**4/12 + 3*g**3/2 - 7*g**2/2 - 43694*g. Determine b(p).
3
Let c be 3*7/((-63)/150). Let x = -106 - c. Let y = -67 - x. Let p(n) = n - 1. Give p(y).
-12
Let u = 16151 + -16154. Let c(j) = -j**3 - j**2 + 11*j + 8. Determine c(u).
-7
Let a(c) = -6*c + 251 - 334 + 112. What is a(5)?
-1
Let n(l) = -45*l + 821. Let x(h) = -2*h**2 - 9*h + 36. Let p be x(-6). Determine n(p).
11
Let k(y) be the third derivative of -y**5/20 + 7*y**4/24 + y**3/6 - 9*y**2 - 13. Let t(o) = o**3 + 5*o**2 - 7*o - 3. Let z be t(-6). Determine k(z).
-5
Let z(m) = 49*m + 7. Let f = 2137 - 2139. Determine z(f).
-91
Let n be ((-18)/(-6) - 5) + -1*4. Suppose 12 = | {
"pile_set_name": "DM Mathematics"
} |
.000044161 rounded to 7 decimal places?
0.0000442
Round -907.6 to the nearest one thousand.
-1000
Round -0.03990956 to 2 dps.
-0.04
Round -1288145650 to the nearest one hundred thousand.
-1288100000
Round 1.963104 to two decimal places.
1.96
Round 0.0000427063 to seven dps.
0.0000427
Round 86.532 to the nearest integer.
87
Round -259.5723 to 0 dps.
-260
Round -299.4556 to 1 dp.
-299.5
What is -0.5555 rounded to 1 dp?
-0.6
What is 5638330 rounded to the nearest one hundred thousand?
5600000
What is -0.000005727192 rounded to seven dps?
-0.0000057
What is 697.15544 rounded to one dp?
697.2
What is -291464.9 rounded to the nearest 100?
-291500
Round 0.035861172 to three decimal places.
0.036
What is 13.603205 rounded to one dp?
13.6
What is -7153.8 rounded to the nearest 10?
-7150
Round -0.0012052087 to six dps.
-0.001205
Round 145333600 to the nearest 10000.
145330000
Round -10.29235 to the nearest 10.
-10
Round 257147.53 to the nearest one thousand.
257000
Round 0.0000276982 to 5 decimal places.
0.00003
What is -7.06713 rounded to two dps?
-7.07
What is 11563.023 rounded to the nearest one hundred?
11600
Round 1049682 to the nearest one hundred thousand.
1000000
Round -2.6293752 to 3 decimal places.
-2.629
What is 13118.1839 rounded to the nearest 1000?
13000
What is -0.000889503 rounded to 5 dps?
-0.00089
Round 29374.7 to the nearest 1000.
29000
What is 0.0087508301 rounded to 3 dps?
0.009
Round -0.1906927 to 4 decimal places.
-0.1907
What is -0.01640208 rounded to 4 decimal places?
-0.0164
Round -6.2594 to 1 dp.
-6.3
Round 11024820 to the nearest one million.
11000000
What is -7.8653 rounded to 2 dps?
-7.87
Round -896114 to the nearest 10000.
-900000
Round -112723.3 to the nearest 1000.
-113000
What is -134944800 rounded to the nearest ten thousand?
-134940000
What is -0.06911279 rounded to 2 dps?
-0.07
What is 14622.13 rounded to the nearest 1000?
15000
What is -0.001093424 rounded to 4 decimal places?
-0.0011
Round -16950.99 to the nearest ten.
-16950
What is 2433070.8 rounded to the nearest 100000?
2400000
Round 0.086381 to 1 dp.
0.1
What is 0.232776 rounded to two dps?
0.23
What is 433100 rounded to the nearest one thousand?
433000
What is -0.00016150175 rounded to six decimal places?
-0.000162
Round -16.98404 to 1 dp.
-17
What is -0.00000010513 rounded to seven dps?
-0.0000001
What is 0.0000131125 rounded to 5 decimal places?
0.00001
What is 0.002453825 rounded to six decimal places?
0.002454
What is -1989266 rounded to the nearest one hundred thousand?
-2000000
Round -0.0000149048 to seven decimal places.
-0.0000149
What is 17997170 rounded to the nearest ten thousand?
18000000
Round 1.983053 to one dp.
2
Round 85563540 to the nearest 100000.
85600000
Round -130.16604 to one dp.
-130.2
Round -1810805 to the nearest one thousand.
-1811000
What is 0.3494508 rounded to 2 decimal places?
0.35
What is 13534387 rounded to the nearest one million?
14000000
Round -319.9678 to the nearest integer.
-320
What is 0.000013749112 rounded to seven dps?
0.0000137
Round -0.15028995 to four decimal places.
-0.1503
What is -0.00001030321 rounded to six decimal places?
-0.00001
Round 34015791 to the nearest one hundred thousand.
34000000
Round 0.006600394 to 3 dps.
0.007
What is -0.00001348039 rounded to 7 dps?
-0.0000135
Round 876.0634 to the nearest one hundred.
900
What is 52.12376 rounded to the nearest ten?
50
What is -1.58398 rounded to 2 decimal places?
-1.58
What is 330601 rounded to the nearest ten thousand?
330000
What is -13977.2 rounded to the nearest 100?
-14000
Round 0.00560264 to two dps.
0.01
What is -0.000051043 rounded to 5 dps?
-0.00005
What is 0.00020972552 rounded to 4 dps?
0.0002
What is 372.79166 rounded to 0 dps?
373
What is 256324 rounded to the nearest one hundred thousand?
300000
What is -70607000 rounded to the nearest 1000000?
-71000000
What is -0.082808 rounded to one decimal place?
-0.1
Round 673130 to the nearest 100000.
700000
Round 0.000354441 to 6 dps.
0.000354
What is 2.256598 rounded to one dp?
2.3
What is -496.62352 rounded to the nearest 100?
-500
What is -0.000351744 rounded to 5 dps?
-0.00035
Round 0.00005835526 to five dps.
0.00006
What is -5.7359092 rounded to one decimal place?
-5.7
What is -0.0011418853 rounded to 5 decimal places?
-0.00114
Round -0.001048364 to five decimal places.
-0.00105
What is -523518 rounded to the nearest one hundred thousand?
-500000
What is -0.0659178 rounded to 3 dps?
-0.066
What is 57072.613 rounded to the nearest one hundred?
57100
Round 433191 to the nearest one thousand.
433000
Round 0.000017986 to 6 decimal places.
0.000018
What is 1245.225 rounded to the nearest 1000?
1000
Round -7655.829 to the nearest 1000.
-8000
What is -3430.22 rounded to the nearest 10?
-3430
What is -0.00065377 rounded to four dps?
-0.0007
Round -0.0328185 to five dps.
-0.03282
What is 610260000 rounded to the nearest one million?
610000000
Round -1139.738 to the nearest 10.
-1140
What is 11.9285 rounded to zero dps?
12
What is -1605507 rounded to the nearest 100000?
-1600000
What is 48351.4 rounded to the nearest 1000?
48000
What is -0.0000287589 rounded to 7 decimal places?
-0.0000288
Round -0.00116597 to 6 dps.
-0.001166
Round 0.0017005 to 2 dps.
0
What is 1.814433 rounded to 3 decimal places?
1.814
Round -25443.907 to the nearest one hundred.
-25400
Round -3876.05 to the nearest one hundred.
-3900
What is -4775932 rounded to the nearest 10000?
-4780000
Round 0.0001703181 to seven decimal places.
0.0001703
What is 0.000343903 rounded to six decimal places?
0.000344
Round -18435.93 to the nearest one thousand.
-18000
What is -102603000 rounded to the nearest one million?
-103000000
Round 28616.733 to the nearest one hundred.
28600
What is 0.03461662 rounded to four decimal places?
0.0346
What is 0.00008114159 rounded to four dps?
0.0001
What is 3073.2671 rounded to the nearest ten?
3070
What is -625591 rounded to the nearest one thousand?
-626000
Round -19888000 to the nearest 100000.
-19900000
What is 0.00733538 rounded to 3 dps?
0.007
Round 0.0000996659 to seven dps.
0.0000997
Round -0.000000827203 to seven decimal places.
-0.0000008
Round -0.02410865 to 4 dps.
-0.0241
What is -0.0088731 rounded to 3 dps?
-0.009
What is 0.0003735066 rounded to six decimal places?
0.000374
Round -0.0004919923 to 7 dps.
-0.000492
Round -361732.8 to the nearest 10000.
-360000
Round 48480 to the nearest 1000.
48000
What is -189.403 rounded to one dp?
-189.4
Round -21532.783 to the nearest one thousand.
-22000
Round 0.00558843 to 3 dps.
0.006
What is -0.00000829141 rounded to seven decimal places?
-0.0000083
Round -0.000757731 to 4 decimal places.
-0.0008
Round -2182.012 to the nearest 100.
-2200
What is 0.003451747 rounded to 3 decimal places?
0.003
What is -29216.41 rounded to the nearest ten?
-29220
Round -125590700 to the nearest 100000.
-125600000
What is 283.9066 rounded to the nearest integer?
284
What is -0.00459189 rounded to four dps?
-0.0046
What is 0.4963343 rounded to 2 decimal places?
0.5
What is -226.83433 rounded to the nearest integer?
-227
Round 922.6554 to the nearest 100.
900
What is -292.763 rounded to the nearest ten?
-290
What is 661271000 rounded to the nearest 1000000?
661000000
Round -152953.21 to the nearest 100.
-153000
What is -3948192.4 rounded to the nearest 100000?
-3900000
Round -834.0389 to the nearest 100.
-800
What is 182636.47 rounded to the nearest ten thousand?
180000
Round -0.009532258 to four decimal places.
-0.0095
What is -0.0670983 rounded to 2 dps?
-0.07
What is 0.00020314 rounded to five decimal places?
0.0002
Round -20665400 to the nearest 10000.
-20670000
What is -2244082.1 rounded to the nearest one million?
-2000000
What is -0.00025800293 rounded to seven decimal places?
-0.000258
What is 0.078547331 rounded to two dps?
0.08
Round -662943700 to the nearest 1000000.
-663000000
What is 0.000495229 rounded to 4 dps?
0.0005
What is 1.636636 rounded to the nearest integer?
2
Round 6414650 to the nearest one million.
6000000
What is -0.0666282 rounded to three dps?
-0.067
What is 1318.288 rounded to zero dps?
1318
What is -0.0003527772 rounded to seven dps?
-0.0003528
What is 2010.079 rounded to the nearest ten?
2010
What is -422396 rounded to the nearest one thousand?
-42200 | {
"pile_set_name": "DM Mathematics"
} |
nd the common denominator of -1/396 and 61/625104.
6876144
Calculate the least common multiple of 80721 and 3713166.
3713166
Calculate the least common multiple of 769088 and 9456.
2307264
Find the common denominator of -139/17515770 and 13/5838590.
17515770
What is the least common multiple of 600 and 104935980?
1049359800
What is the common denominator of -45/26503 and 101/5693468?
96788956
What is the smallest common multiple of 6530 and 78?
254670
What is the lowest common multiple of 53006 and 131546?
205080214
Calculate the least common multiple of 747446 and 36624854.
36624854
Calculate the common denominator of 43/9212 and -103/8148014.
16296028
Calculate the common denominator of -91/64500 and -89/215250.
18511500
Calculate the common denominator of 15/3152 and 145/1427856.
1427856
What is the common denominator of 74/405871479 and 2/405871479?
405871479
What is the lowest common multiple of 10909451 and 5356?
567291452
What is the least common multiple of 8223806 and 384290?
41119030
What is the smallest common multiple of 252 and 2633652?
2633652
Find the common denominator of 81/19616 and -27/69408764.
555270112
Calculate the lowest common multiple of 2893791 and 7038.
17362746
What is the smallest common multiple of 98731678 and 1?
98731678
What is the smallest common multiple of 425 and 4055265?
20276325
Calculate the common denominator of 157/29718 and 53/737997.
4427982
Calculate the common denominator of -53/42 and -115/1377132.
9639924
Find the common denominator of -121/300950 and 109/120380.
601900
Find the common denominator of 203/165740520 and -151/127248.
331481040
What is the common denominator of -167/26806020 and 41/2680602?
26806020
Calculate the smallest common multiple of 40821 and 45045.
55720665
Calculate the lowest common multiple of 126621833 and 13.
126621833
What is the common denominator of 163/15252288 and 41/3144112?
716857536
Calculate the least common multiple of 3748276 and 56.
7496552
Calculate the smallest common multiple of 1376850 and 1193270.
17899050
Calculate the smallest common multiple of 208480 and 20.
208480
Calculate the smallest common multiple of 15184 and 728832.
728832
Calculate the common denominator of -17/83014855 and -61/7546805.
83014855
What is the smallest common multiple of 1790984 and 20?
8954920
What is the common denominator of -41/2064084 and 199/74119380?
815313180
What is the least common multiple of 36 and 58100?
522900
Find the common denominator of 7/5652 and 83/122720.
173403360
What is the lowest common multiple of 5 and 20970027?
104850135
Calculate the least common multiple of 6 and 12170820.
12170820
Calculate the smallest common multiple of 431365 and 19665.
73763415
Find the common denominator of 121/21804 and -35/1188476.
82004844
Calculate the common denominator of -199/29400 and 55/50323.
30193800
Find the common denominator of 13/12802 and -79/1554.
268842
Find the common denominator of 109/12 and -55/861807916.
2585423748
What is the least common multiple of 352524 and 8352?
8460576
What is the common denominator of 23/77110 and -107/9670?
74565370
Find the common denominator of 17/54 and 17/12169650.
109526850
Calculate the common denominator of -125/1368 and -39/5953802.
214336872
What is the least common multiple of 391104 and 20924064?
41848128
What is the smallest common multiple of 4267874 and 6656?
1092575744
What is the smallest common multiple of 62041708 and 155104270?
310208540
Calculate the lowest common multiple of 564 and 16656.
782832
Calculate the least common multiple of 75305 and 240976.
1204880
Find the common denominator of -1/102 and -6/93127207.
558763242
Find the common denominator of 41/1548016 and 23/13545140.
54180560
Find the common denominator of 7/6 and -43/1749507266.
5248521798
Calculate the smallest common multiple of 3234 and 955108.
2865324
What is the lowest common multiple of 2014728 and 381?
2014728
Calculate the lowest common multiple of 44005122 and 6.
44005122
What is the smallest common multiple of 168 and 112832?
2369472
Calculate the smallest common multiple of 164469 and 2409.
1809159
What is the common denominator of 1/10458 and -79/214306?
13501278
Find the common denominator of -23/22692600 and -43/1620900.
22692600
What is the smallest common multiple of 3737 and 233947411?
233947411
What is the lowest common multiple of 189453658 and 481254?
568360974
Find the common denominator of 127/2094216 and -119/1704.
2094216
What is the least common multiple of 8267 and 186340?
220067540
What is the smallest common multiple of 117349470 and 1190?
117349470
Calculate the common denominator of 36/7986791 and -59/12045652.
734784772
What is the least common multiple of 5579200 and 2789600?
5579200
Find the common denominator of -49/3165 and -37/2257700.
6773100
Calculate the smallest common multiple of 141435 and 402.
18952290
Calculate the common denominator of 31/98067 and 76/22509.
735796701
Calculate the common denominator of -19/31780650 and 83/6356130.
31780650
Calculate the least common multiple of 3053187 and 10177290.
30531870
Find the common denominator of 47/25 and -29/2783930.
13919650
Find the common denominator of 55/3741836 and 48/10290049.
41160196
Calculate the smallest common multiple of 16879840 and 16879840.
16879840
What is the smallest common multiple of 203933166 and 3?
203933166
Calculate the lowest common multiple of 1481076 and 48.
5924304
What is the common denominator of 29/10166 and 83/3933?
1738386
Calculate the smallest common multiple of 51039856 and 7747121.
867677552
What is the least common multiple of 16327256 and 101035?
81636280
What is the least common multiple of 1393 and 6756050?
6756050
What is the least common multiple of 2112 and 422400?
422400
What is the lowest common multiple of 716 and 196048?
35092592
What is the smallest common multiple of 14 and 32708898?
228962286
Calculate the lowest common multiple of 3822005 and 104931410.
1154245510
What is the smallest common multiple of 354750 and 141900?
709500
What is the smallest common multiple of 7443518 and 884?
193531468
What is the lowest common multiple of 2248 and 116819568?
116819568
What is the common denominator of 23/767700 and 37/3838500?
3838500
What is the common denominator of 42/13 and 40/1665087?
21646131
Calculate the common denominator of 6/35401721 and 52/524117.
389418931
Calculate the smallest common multiple of 112 and 331640.
4642960
Calculate the least common multiple of 8814 and 93600.
10576800
Calculate the lowest common multiple of 776445 and 7971502.
119572530
What is the common denominator of -77/654 and -73/4310187?
8620374
What is the smallest common multiple of 2438 and 403489?
806978
Find the common denominator of 79/65753550 and -3/650.
854796150
What is the common denominator of -29/84 and 61/101248?
303744
Find the common denominator of -9/31730 and 13/1615.
539410
Find the common denominator of -87/3524 and 79/16400.
14448400
Find the common denominator of 38/573 and -46/2891.
1656543
Calculate the common denominator of -27/507815 and -81/2640638.
13203190
Calculate the smallest common multiple of 475380 and 90.
475380
What is the lowest common multiple of 10448 and 17216?
11242048
What is the common denominator of 127/12817350 and -79/315?
12817350
Calculate the smallest common multiple of 20136927 and 21.
140958489
Calculate the smallest common multiple of 41885360 and 36649690.
293197520
Calculate the common denominator of -79/53550 and -133/10151550.
71060850
Calculate the common denominator of 139/2072622 and -173/2058.
710909346
What is the smallest common multiple of 496925 and 271050?
2981550
What is the common denominator of -97/3184 and -47/1977264?
1977264
Calculate the lowest common multiple of 72984879 and 24354.
437909274
What is the common denominator of 81/631916 and -47/1088884?
719752324
What is the smallest common multiple of 16318 and 513?
8371134
What is the least common multiple of 5984 and 275946?
75057312
Find the common denominator of 43/3493120 and 71/2619840.
10479360
Calculate the least common multiple of 64 and 196224.
196224
Calculate the least common multiple of 2020 and 1563850.
315897700
Calculate the common denominator of 23/88 and 13/2656632.
2656632
F | {
"pile_set_name": "DM Mathematics"
} |
Two letters picked without replacement from {o: 5, f: 2, t: 2}. Give prob of picking 2 o.
5/18
What is prob of picking 1 q and 1 p when two letters picked without replacement from {s: 1, z: 1, f: 2, d: 1, q: 1, p: 2}?
1/14
Two letters picked without replacement from {p: 3, h: 1}. What is prob of picking 1 h and 1 p?
1/2
What is prob of picking 1 i and 1 h when two letters picked without replacement from uhihhuhuuhhhhhii?
9/40
What is prob of picking 2 h and 1 r when three letters picked without replacement from hrdhrrhdrrh?
2/11
Three letters picked without replacement from {u: 6, c: 2, d: 1, l: 5, q: 2}. Give prob of picking 1 d, 1 c, and 1 q.
1/140
Four letters picked without replacement from zzksuuzuozssoszoouo. What is prob of picking 1 k, 1 z, and 2 s?
5/646
Calculate prob of picking 1 e and 1 l when two letters picked without replacement from eplpllllplpeleellll.
44/171
What is prob of picking 1 x and 1 f when two letters picked without replacement from {e: 1, v: 1, t: 1, s: 1, x: 2, f: 1}?
2/21
Two letters picked without replacement from yyyyvvvysvy. Give prob of picking 2 v.
6/55
Two letters picked without replacement from denepeeddednedeep. What is prob of picking 2 p?
1/136
What is prob of picking 1 t, 1 u, 1 p, and 1 z when four letters picked without replacement from dzuuuduuuuuuptzdu?
1/119
Two letters picked without replacement from {d: 3, l: 2, n: 1, z: 7, x: 4}. What is prob of picking 1 x and 1 n?
1/34
Four letters picked without replacement from jyyyfjjyyfjj. Give prob of picking 1 f, 2 j, and 1 y.
20/99
Calculate prob of picking 3 o when three letters picked without replacement from koopoxx.
1/35
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {t: 2, v: 1, c: 1, j: 2, m: 1}.
2/21
Calculate prob of picking 2 y when two letters picked without replacement from aayaaaaayaaaayaaaaya.
3/95
Two letters picked without replacement from {j: 9, d: 9}. Give prob of picking 2 j.
4/17
Two letters picked without replacement from vvvqvqvq. Give prob of picking 2 v.
5/14
Two letters picked without replacement from {s: 3, v: 1, i: 1}. Give prob of picking 1 v and 1 s.
3/10
What is prob of picking 1 e, 1 t, 1 o, and 1 q when four letters picked without replacement from jqvotej?
1/35
Two letters picked without replacement from nmcicinuunuuma. Give prob of picking 1 n and 1 c.
6/91
Calculate prob of picking 1 m and 2 q when three letters picked without replacement from {q: 5, u: 1, z: 6, n: 1, m: 2, d: 1}.
1/28
What is prob of picking 1 s, 1 o, and 1 v when three letters picked without replacement from ooooooooooooovoosoo?
1/57
Three letters picked without replacement from {r: 11, j: 2, q: 1}. What is prob of picking 1 j and 2 r?
55/182
Calculate prob of picking 2 c when two letters picked without replacement from {h: 5, c: 2, p: 3, k: 3}.
1/78
What is prob of picking 1 t and 2 y when three letters picked without replacement from {i: 3, b: 3, y: 4, t: 4, l: 5}?
8/323
What is prob of picking 1 r and 1 o when two letters picked without replacement from bbrbbrborobor?
2/13
Three letters picked without replacement from ekfoeekooekooeoo. What is prob of picking 3 k?
1/560
Two letters picked without replacement from qwlklqqcqwqw. What is prob of picking 2 w?
1/22
Calculate prob of picking 3 x and 1 o when four letters picked without replacement from {b: 1, o: 2, s: 4, x: 12}.
110/969
Four letters picked without replacement from gvggpghvp. What is prob of picking 2 v and 2 p?
1/126
Three letters picked without replacement from njnjjnjjnjnjj. What is prob of picking 3 j?
28/143
Two letters picked without replacement from eeeeqeqeqeeeee. Give prob of picking 2 e.
55/91
Calculate prob of picking 3 g when three letters picked without replacement from {g: 7, k: 3}.
7/24
Two letters picked without replacement from jjjmjmjjmmjjmj. What is prob of picking 2 j?
36/91
Calculate prob of picking 3 y and 1 n when four letters picked without replacement from yynynnnyynnn.
14/99
Four letters picked without replacement from ytyttty. Give prob of picking 2 y and 2 t.
18/35
Calculate prob of picking 1 v and 3 q when four letters picked without replacement from {q: 3, s: 4, v: 3, o: 1, x: 3, z: 1}.
1/455
Two letters picked without replacement from {u: 1, w: 2}. Give prob of picking 2 w.
1/3
Four letters picked without replacement from {l: 3, j: 2, r: 5, h: 3, b: 2}. Give prob of picking 2 h and 2 r.
2/91
Four letters picked without replacement from {f: 6, u: 4, k: 2, j: 2, c: 4, p: 1}. What is prob of picking 2 c and 2 k?
1/646
What is prob of picking 1 p and 2 w when three letters picked without replacement from wpwppouuwqqpwp?
15/182
Calculate prob of picking 1 z and 3 i when four letters picked without replacement from {y: 1, s: 5, z: 5, i: 7}.
35/612
Two letters picked without replacement from iifuqiqissisfifuissi. Give prob of picking 1 s and 1 q.
1/19
Four letters picked without replacement from {t: 3, i: 4, e: 2, m: 2, v: 2, p: 3}. Give prob of picking 1 t, 1 p, and 2 m.
9/1820
What is prob of picking 2 n when two letters picked without replacement from znznznn?
2/7
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from wwwdufwdfwdu.
5/33
Three letters picked without replacement from trvtdrvdttvrtvdd. What is prob of picking 1 r, 1 v, and 1 d?
3/35
Two letters picked without replacement from hphhxxxxxxpphp. Give prob of picking 2 x.
15/91
Two letters picked without replacement from mbrrfmbbrbbf. What is prob of picking 1 b and 1 r?
5/22
What is prob of picking 2 u when two letters picked without replacement from {u: 5}?
1
Two letters picked without replacement from gtyygtyyyyyygyyyyy. Give prob of picking 1 t and 1 g.
2/51
Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {q: 2, s: 1, p: 5, d: 2, i: 6}.
1/60
Three letters picked without replacement from {j: 6, i: 1, b: 12}. Give prob of picking 3 j.
20/969
What is prob of picking 2 c when two letters picked without replacement from {w: 2, v: 1, c: 2}?
1/10
What is prob of picking 1 n and 1 k when two letters picked without replacement from wwwnkkwnkwwnn?
2/13
Two letters picked without replacement from stts. What is prob of picking 2 s?
1/6
Two letters picked without replacement from qqjjqtrq. What is prob of picking 1 r and 1 j?
1/14
Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {x: 4, r: 2, m: 1}.
12/35
What is prob of picking 2 a when two letters picked without replacement from auc?
0
Three letters picked without replacement from {v: 2, y: 8, q: 2, c: 1, r: 5}. Give prob of picking 3 y.
7/102
What is prob of picking 1 r and 1 k when two letters picked without replacement from kptrn?
1/10
Two letters picked without replacement from ksbsskxkeassx. What is prob of picking 2 k?
1/26
Calculate prob of picking 4 f when four letters picked without replacement from {f: 10}.
1
Calculate prob of picking 3 x when three letters picked without replacement from {s: 3, m: 2, w: 1, t: 5, x: 6}.
1/34
Calculate prob of picking 1 m, 1 a, and 1 h when three letters picked without replacement from zzzzpzaszzhazm.
1/182
Three letters picked without replacement from {m: 4, e: 6, l: 10}. What is prob of picking 1 l, 1 e, and 1 m?
4/19
Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {d: 4, m: 3, w: 2, f: 2, t: 2}.
2/39
Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {f: 5, i: 2, z: 8, e: 1}.
2/15
Four letters picked without replacement from {t: 1, h: 3, w: 1, v: 1, a: 4, g: 6}. What is prob of picking 1 w, 2 h, and 1 t?
3/1820
Two letters picked without replacement from eoooooooeoooo. Give prob of picking 2 o.
55/78
Three letters picked without replacement from pxllpppllxx. Give prob of picking 3 x.
1/165
What is prob of picking 2 k when two letters picked without replacement from {u: 2, k: 17}?
136/171
Calculate prob of picking 1 x and 2 p when three letters picked without replacement from gmmmmqxmmmxxxgxxxpp.
7/969
Two letters picked without replacement from fsfghjfjfbffbfsgf. Give prob of picking 1 j and 1 b.
1/34
Calculate prob of picking 1 n and 1 r when two letters picked without replacement from szn | {
"pile_set_name": "DM Mathematics"
} |
1/q)/q)**(-10/3)*(q*(q*q**1)/q*q*q)**(-10))**(-17/6) assuming q is positive.
q**(935/9)
Simplify ((j/j**(2/11))**17)**(2/89)*(j*j**(-12)*j*j**(-3/11))**(3/8) assuming j is positive.
j**(-27723/7832)
Simplify (i**3/((i*i*i**(4/7))/i)*i**2*(i/((i**(-1)/i*i)/i))/i)/(((i/i**(1/6))/i**(3/2))/(i/i**(5/2)*i**(-1))) assuming i is positive.
i**(151/42)
Simplify ((m**(2/7))**(2/37)/(m/(m**(-2/3)/m))**(4/33))/(((m*m**(2/3)*m)/m*m)**(-1/68)/((m/(m*m**(6/7)))/m*m*m*m**(-1/8)/m)) assuming m is positive.
m**(-4361465/3487176)
Simplify (((z/(z*z**(-2/5)*z*z))/z)**(-1)*(z*z**2*z)/z*(z/((z*z/z**(-1))/z))/z)**31 assuming z is positive.
z**(558/5)
Simplify ((k**(1/2))**1)**(-3)*(k**(1/7)/k**(-6/7))/(k**(-3/7)/k**(2/5)) assuming k is positive.
k**(23/70)
Simplify (r**(1/2)/(r/r**(2/7)))**(1/14)/(((r/((r*r**(-2/11))/r))/r*r**6)/((r*r*r**3)/r**3)) assuming r is positive.
r**(-9049/2156)
Simplify ((v/(v*v*v**0*v))/v**5)**(43/5)*((v/(v/(v*v*(v*v/((v**(2/9)/v)/v))/v)))/((v*v/v**(2/3))/v))**(-32) assuming v is positive.
v**(-9109/45)
Simplify ((((k**0*k)**7)**(-43))**(-2/3))**(20/3) assuming k is positive.
k**(12040/9)
Simplify (((o**2*o)**(-5/13))**(-17/4))**22 assuming o is positive.
o**(2805/26)
Simplify (((i/(i/(i*i**(-3/4))))/(i**(4/5)*i*i))/(i**(1/5)/(i*i**2)))/((i/(i/i**(2/3)*i))/i**2*(i**5/i)/(i/i**(-1/6)*i)) assuming i is positive.
i**(3/4)
Simplify (p**0/p**(-5/3)*(p**(1/2)/p*p)**(-42))/(p**(-5)/p**(-2/9))**16 assuming p is positive.
p**(514/9)
Simplify (r**(1/8)/(r/(r*r**(2/9)*r))*(r**3/r)/(r**(-1/8)/r))/((r*(r/r**4)/r)**(9/5))**(-19) assuming r is positive.
r**(-17663/180)
Simplify z**(-1/8)/(z*z*z**(1/5))*(z**(1/3))**(-21)*((z/(z*z**(-2/5))*z*z)/z*z**(1/2)*z)/(z*(z*z**(-3/7))/z*z/(z**(-1/6)/z)) assuming z is positive.
z**(-7697/840)
Simplify (t**(2/25)/((t**(-4)*t)/t))**(1/42)/((((t*t**1/t)/t)/t)**(-30)*(t**(2/7))**(1/2)) assuming t is positive.
t**(-5258/175)
Simplify ((b*b/(b/b**6*b))/(b*b/b**(3/4)))/(b**2)**(-2)*(b/(b/(b**(3/10)/b))*b**(-1/7))/(b**1/b)**2 assuming b is positive.
b**(1107/140)
Simplify (q/((q/q**(-2))/q)*q/((q**(2/11)/q)/q)*(q*q**0*q*q)**(-49))/((q**(2/7)*q/(q*q**4))/(q**(-3/5)*q**(-1/5))) assuming q is positive.
q**(-54773/385)
Simplify ((x**(-2/45)*x/((x**(2/7)*x)/x))/((x/x**(-20))/x**7))**(-2/21) assuming x is positive.
x**(8398/6615)
Simplify ((o*o**(-11/2)*o**(-15)*o**(-3)*o*o**(5/6))**(-42))**(-36) assuming o is positive.
o**(-31248)
Simplify (((k*k**(2/37)*k)/(k*k**6))/((k*k*(k/(k/((k/(k*k/(k*k**(-19)*k))*k)/k))*k)/k)/(k*k/k**(-2)*k*k)))**8 assuming k is positive.
k**(5048/37)
Simplify (w**(-15))**(-4)*(w*w/((w/w**(32/3)*w*w)/w))**(-1/52) assuming w is positive.
w**(2332/39)
Simplify ((((((l**(-2/3)/l*l)/l*l)/l)/l)/(l*l*l*l**(1/4)))/(l**(-24)/(l*l**(-2))))**(-8/7) assuming l is positive.
l**(-410/21)
Simplify ((u**7*u/(u**5*u))/((u*u**(-2/15)*u)/((u**5/u)/u)))/((u*u**(-1)*u*u)**(-21)/(u*u**(1/4))**(-45)) assuming u is positive.
u**(-667/60)
Simplify ((((g/g**(2/7)*g*g)/g)/g**(-18))/(g**(-18)/(g**24/g)))**(-33) assuming g is positive.
g**(-14025/7)
Simplify ((x*x**1/x*x)**(1/22)/(((x/x**(-1))/x)/(x/((x*x**1)/x))))/((((x/(x*x/(x*(x/(x*x**(2/3)*x))/x)))/x)/x)**(3/16))**(-34) assuming x is positive.
x**(-1349/44)
Simplify (((x**0)**(3/10)*(x*x/(x*x**(-4)))/(x**(2/7)*x))**44)**24 assuming x is positive.
x**(27456/7)
Simplify ((q/(q**(-6)/q*q*q)*q/((q*q**(-3/7))/q))/((q*q**(-3/4))/(q/q**2)))**(-5) assuming q is positive.
q**(-865/28)
Simplify ((a**1/a)/(((a**(-4)*a)/a)/a)*(a/(a*a**(-2/3)))**(-43))/((((a*a*a**(1/3))/a)/(a*a/(a*a**(3/4))))/(a*a**1*a)**(-2/53)) assuming a is positive.
a**(-5271/212)
Simplify ((w**(-3))**(-5/11)/(w**(-1/5))**(-12))**(14/13) assuming w is positive.
w**(-798/715)
Simplify ((k*k/(k**(1/18)*k))/k*k)**0*(k**(-18))**35 assuming k is positive.
k**(-630)
Simplify ((l/(l*l/(l**(5/2)/l)))/(l/(l/(l**0/l))))/(l**1)**4*(l**0)**(1/28)*l**(6/7)/l*l/(l*l**3)*l assuming l is positive.
l**(-65/14)
Simplify (u/(u**5/u)*u**(2/3))**16/((u*u/(u/(u/u**(5/2)))*u*u)/u**(-8))**(-12) assuming u is positive.
u**(230/3)
Simplify (x**0*x**(-3/5))**(2/87)/(x/(x*x**5)*x**(-2/7))**(-1/20) assuming x is positive.
x**(-1129/4060)
Simplify ((w/(w/(w*((w**(-2/13)*w)/w)/w))*w*w*w*w*w*w/w**(-5))/((w**(-6)/w)/w*w**4))/((w**2*w)**16*w**(2/3)*w*w/(w**(-2/3)*w*w)) assuming w is positive.
w**(-1345/39)
Simplify (((w/(w/(((w**7/w)/w)/w)))/w)**(-36)*w**(1/2)*w**30)**(1/10) assuming w is positive.
w**(-31/4)
Simplify ((g**1)**26/(g/(g**(-1/3)*g))**45)**(8/5) assuming g is positive.
g**(88/5)
Simplify (((n*(n/n**(31/5))/n)/n**(-2/5))**(6/35))**(11/4) assuming n is positive.
n**(-396/175)
Simplify ((k**(-1))**(2/23))**(7/10)*((k*k**4*k*k*k*k)/(k*k**(1/2)))/(k/(k**(-1/3)*k))**5 assuming k is positive.
k**(3983/690)
Simplify ((m*m*m**(-1))**(-5/2)*m*m**(4/7)/m*m*m*m**3/m)/((m/m**(-1))**(-25/3)/(m**(-6)/m**5)) assuming m is positive.
m**(325/42)
Simplify (v**44/(((v/v**(-2/11))/v)/v))/(v/((v*v**(-31)/v)/v))**23 assuming v is positive.
v**(-7856/11)
Simplify (t/(t**3/t))/(t/t**(-1/2)*t*t)*t**8/(t/t**4)*((t**(-3/7)*t)/t**11)**(3/32) assuming t is positive.
t**(1237/224)
Simplify (p/(p**0*p*p))**(-2/23)*((p*p**(-1)*p)/p*p)**12*((p**3)**(-41))**(-47) assuming p is positive.
p**(133241/23)
Simplify (m**(-3/11)/(m/((m/(m/((m/m**(-3))/m)))/m)))**(-5)/((m**(1/4))**(-49)*(m/(m/m**(-3)))/(m/(m/(m/(m*m**1*m))))) assuming m is positive.
m**(423/44)
Simplify ((y**(1/3)*y)**(1/19)*(y/(y/(y/(y/(y*y/((y/(y/(y**(-1/4)*y*y))*y)/y)))))*y)**(-3/10))**8 assuming y is positive.
y**(-139/57)
Simplify (z**(2/11)/(z**(-6)*z*z))/((z/(z**1/z))/(z/(z/(z**(-6)*z)*z*z)))*((z*z**(-1/3))/(z/(z/(z/z**(4/7)))*z))**(-29) assuming z is positive.
z**(4222/231)
Simplify (p**(-2/65)/(p/p**4)*p**22*p/(p/(p**(-16/11)/p)))**(-4/11) assuming p is positive.
p**(-64392/7865)
Simplify (a**(-1/10)/(a*(a/(a/(((a*a/a**(-2/67)*a)/a)/a)))/a)*a**(-27)*a*a**(-5/4))**(3/7) assuming a is positive.
a**(-114087/9380)
Simplify ((s*s/s**(2/53)*s**(-26))/((s*s**11*s)/(s**(3/2)*s)))**23 assuming s is positive.
s**(-84203/106)
Simplify (((o*o/(o**4*o)*o)/(((o**(-1/4)/o*o)/o)/o))/(o*o/(o*o/o**(1/4)*o))**22)/((o/(o**(2/3)*o))**(-10/11))**(-2/3) assuming o is positive.
o**(6793/396)
Simplify ((x*(x*x*(x/(x**0*x))/x)/x)**(23/2))**(1/20)/((x*x**0)**(-17/4))**(2/33) assuming x is positive.
x**(1099/1320)
Simplify (v*v**(-11)*v*(v**(-14)*v)/v)**(5/3)/((v/((v**11/v)/v))/v**(-2/23))**(-2) assuming v is positive.
v**(-3737/69)
Simplify ((w**(3/5)*w*w)**(3/10))**(2/81)/((w/(w/(w**(-1/2)*w)))/(w**(-1)/w))**(1/2) assuming w is positive.
w**(-3323/2700)
Simplify ((((k**(2/17)*k)/k**(-3/5))/(k**(-2/3))**(2/13))**(-39))**(14/11) assuming k is positive.
k**(-84476/935)
Simplify (((i/(i*i/(i*i/(i*i**(1/4))))*i)**(-2)*(i/(i**0/i))**(1/40))**(6/13))**22 assuming i is positive.
i**(-957/65)
Simplify (j**(-1/3))**11/((j*j**(1/4))/((j*j**(-4/7))/j))*((j/(j*j*j*j/j**13*j*j))/(j**(-2/33)*j))**(8/7) assuming j is positive.
j**(795/308)
Simplify (((((q/q**12)/q)/q)/q*q)/q*q**(-3/5))**(-1/44)/((q*q/(q/(q/q**(2/9))*q))/q**(13/5))**(-27) assuming q is positive.
q**(-10751/220)
Simplify u**35/(u**(-2/65)/u*u*u)*u**34*u**(-31/5) assuming u is positive.
u**(4019/65)
Simplify ((s**4)**(-2/91))**(-1/44)/(s*s**6/s*s*((s*s**13/s*s)/s)/s)**(-3/10) assuming s is positive.
s**(57077/10010)
Simplify ((q**(-3/10)/q)**50/((q/q**33)/(q*q**(-29)*q)))**(-9) assuming q is positive.
q**540
Simplify (r**(-3/7)*(r*r*r**(-2/3)*r)/r*r**(8/5)/r**(4/5))/((r**5*r**(-4/9)/r)/((r/((r**(-1/3)/r*r)/r))/(r**(-2)/r))) assuming r is positive.
r**(1097/315)
Simplify ((t/t**1)**(1/27)/(t**(-5)*t/(t*t/(t/((t**(-2/7)/t)/t)))*t))/((t*t**(-4))/(t/(t/((t/t**(3/4))/t))))**(4/13) assuming t is positive.
t**(219/91)
Simplify w**(1/2)*w**4*w**(-4/3)/w**(2/13)*((w*w**(2/13))/(w*w**(2/9)))**(-27) assuming w is positive.
w**(379/78)
Simplify ((k/k**(-1/2))**30*(k/k**(-13/4)*k)/(k*k**(-2/21)/k))**18 assuming k is positive.
k**(12687/14)
Simplify (o**(-1/2))**11/(o**(-1/8)/(o*(o*o**(-6)*o)/o))*((o**(-1/3)/o)/o*o)**(2/13)*(o**(2/13)/o)/(o**(4/7)*o) assuming o is positive.
o**(-26203/2184)
Simplify (m**(6/7)/(m*m*m/((m**6/m)/m)))**(-4/19)/((m/(m**5/m))/m**(-2)*(m/(m/m**(-4)))/m**(-2/5)) assuming m is positive.
m**(2799/665)
Simplify (s**(4/7)*s/s**(-9))/((s/(s/(s**(3/5)/s)))/(s/(s*s*s**(-2/13) | {
"pile_set_name": "DM Mathematics"
} |
, 19, 41, 41299
List the prime factors of 998350773.
3, 7, 47540513
What are the prime factors of 53870834?
2, 26935417
What are the prime factors of 434302971?
3, 144767657
What are the prime factors of 45037828?
2, 11, 17, 19, 3169
List the prime factors of 13699461.
3, 1087, 4201
List the prime factors of 151245409.
7, 3086641
List the prime factors of 2910341473.
13, 19, 31, 47, 8087
List the prime factors of 972601619.
11, 101, 875429
What are the prime factors of 237769797?
3, 79256599
List the prime factors of 14538233.
257, 56569
What are the prime factors of 2976046578?
2, 3, 1123, 147227
What are the prime factors of 398738595?
3, 5, 26582573
What are the prime factors of 85497303?
3, 28499101
What are the prime factors of 17598585?
3, 5, 1173239
List the prime factors of 2019198513.
3, 109, 6174919
What are the prime factors of 24339584?
2, 29, 79, 83
What are the prime factors of 199704498?
2, 3, 7, 29, 59, 397
List the prime factors of 490903672.
2, 7, 8766137
What are the prime factors of 16927230?
2, 3, 5, 557, 1013
What are the prime factors of 67828906?
2, 33914453
What are the prime factors of 2584891459?
2584891459
What are the prime factors of 76409952?
2, 3, 795937
What are the prime factors of 688897545?
3, 5, 7, 17, 167, 2311
What are the prime factors of 178416865?
5, 11, 23, 141041
List the prime factors of 29973714.
2, 3, 31, 161149
List the prime factors of 7382803.
467, 15809
List the prime factors of 583633830.
2, 3, 5, 13, 19, 79, 997
List the prime factors of 17659308.
2, 3, 23, 109, 587
What are the prime factors of 96284114?
2, 439, 109663
What are the prime factors of 192868?
2, 13, 3709
What are the prime factors of 90877747?
181, 502087
What are the prime factors of 2468795444?
2, 12479, 49459
What are the prime factors of 2446330?
2, 5, 244633
List the prime factors of 60066709.
457, 131437
List the prime factors of 179000216.
2, 19, 659, 1787
What are the prime factors of 118483667?
118483667
List the prime factors of 1921489571.
599, 613, 5233
What are the prime factors of 182060668?
2, 45515167
List the prime factors of 394729526.
2, 3359, 58757
List the prime factors of 20951423.
20951423
What are the prime factors of 256057141?
256057141
What are the prime factors of 5747057198?
2, 2873528599
What are the prime factors of 201098203?
821, 244943
What are the prime factors of 703010629?
113, 233, 26701
List the prime factors of 37881801.
3, 19, 29, 7639
What are the prime factors of 242653622?
2, 37, 877, 3739
What are the prime factors of 1675635771?
3, 558545257
List the prime factors of 3117848028.
2, 3, 259820669
What are the prime factors of 610870415?
5, 122174083
What are the prime factors of 91063936?
2, 711437
What are the prime factors of 701837332?
2, 7, 59, 424841
List the prime factors of 1270771329.
3, 29, 14606567
What are the prime factors of 134171613?
3, 4969319
What are the prime factors of 81516004?
2, 19, 457, 2347
What are the prime factors of 2359283?
1069, 2207
What are the prime factors of 103377439?
11, 101, 769
What are the prime factors of 97807653?
3, 127, 85571
List the prime factors of 53189792.
2, 41, 71, 571
List the prime factors of 444712560.
2, 3, 5, 1852969
List the prime factors of 829674473.
12251, 67723
What are the prime factors of 1082280933?
3, 311, 14321
What are the prime factors of 49542079?
49542079
List the prime factors of 4280951685.
3, 5, 241, 1184219
List the prime factors of 1452011397.
3, 617, 784447
What are the prime factors of 469552081?
469552081
List the prime factors of 547847134.
2, 17, 47, 342833
List the prime factors of 265101335.
5, 23, 1259, 1831
List the prime factors of 767801656.
2, 523, 183509
What are the prime factors of 2612902544?
2, 7, 53, 440179
List the prime factors of 2606981717.
3083, 845599
List the prime factors of 30156612.
2, 3, 2513051
What are the prime factors of 1293262223?
11, 157, 748849
What are the prime factors of 330476330?
2, 5, 33047633
What are the prime factors of 3695110606?
2, 11, 167959573
What are the prime factors of 36380664?
2, 3, 23, 2441
What are the prime factors of 72570905?
5, 11, 29, 173, 263
What are the prime factors of 28306044?
2, 3, 13, 20161
List the prime factors of 231030093.
3, 7, 139, 79147
What are the prime factors of 36838232?
2, 233, 19763
What are the prime factors of 158752902?
2, 3, 7, 11, 17, 29, 41
What are the prime factors of 8078048092?
2, 26029, 77587
List the prime factors of 568823617.
97, 101, 58061
List the prime factors of 237361371.
3, 13, 6086189
What are the prime factors of 4145502517?
13, 19, 16783411
What are the prime factors of 9124304312?
2, 1140538039
What are the prime factors of 933802357?
79, 479, 24677
List the prime factors of 424136866.
2, 131, 257, 6299
What are the prime factors of 729580263?
3, 23, 359, 29453
List the prime factors of 113550779.
113550779
What are the prime factors of 7396998835?
5, 23, 919, 69991
List the prime factors of 535296646.
2, 17, 15744019
What are the prime factors of 3207271613?
7, 13, 2503, 14081
List the prime factors of 514680619.
37, 2939, 4733
List the prime factors of 151386158.
2, 7, 11, 233, 4219
What are the prime factors of 168580595?
5, 33716119
What are the prime factors of 4714867539?
3, 83, 103, 233, 263
List the prime factors of 1306290133.
107, 12208319
List the prime factors of 58770638.
2, 29385319
What are the prime factors of 51509547?
3, 1907761
List the prime factors of 78142246.
2, 7, 13, 53, 8101
List the prime factors of 935147030.
2, 5, 89, 1050727
List the prime factors of 2456718822.
2, 3, 37, 136621
What are the prime factors of 447665386?
2, 7, 17, 1880947
List the prime factors of 36947465.
5, 7389493
What are the prime factors of 672172624?
2, 42010789
List the prime factors of 3372241940.
2, 5, 168612097
What are the prime factors of 63766412?
2, 15941603
List the prime factors of 57869483.
7, 8267069
What are the prime factors of 53556193?
19, 1201, 2347
What are the prime factors of 506388322?
2, 11, 1877, 12263
List the prime factors of 60295040.
2, 5, 13, 7247
What are the prime factors of 2218120985?
5, 17, 26095541
List the prime factors of 1141093540.
2, 5, 71, 803587
What are the prime factors of 171579575?
5, 31, 221393
List the prime factors of 10127927.
10127927
What are the prime factors of 13729836?
2, 3, 1144153
List the prime factors of 87634774.
2, 43, 139, 7331
List the prime factors of 461888988.
2, 3, 11, 547, 6397
List the prime factors of 57964515.
3, 5, 7, 173, 3191
List the prime factors of 166095842.
2, 11, 43, 337, 521
List the prime factors of 85367272.
2, 10670909
What are the prime factors of 530121940?
2, 5, 23, 37, 31147
List the prime factors of 39102900.
2, 3, 5, 130343
What are the prime factors of 248062584?
2, 3, 7, 11, 12203
List the prime factors of 3379890270.
2, 3, 5, 112663009
List the prime factors of 3356898841.
55819, 60139
What are the prime factors of 320461649?
157, 13001
List the prime factors of 6528395263.
13, 1549, 324199
List the prime factors of 182148459.
3, 19, 1549, 2063
What are the prime factors of 27276136?
2, 1031, 3307
List the prime factors of 935077188.
2, 3, 77923099
List the prime factors of 320738489.
320738489
List the prime factors of 3242807869.
7, 29, 359, 44497
List the prime factors of 5187092460.
2, 3, 5, 11, 97, 81023
List the prime factors of 419043588.
2, 3, 1289, 27091
What are the prime factors of 52345313?
52345313
What are the prime factors of 4473479?
4473479
What are the prime factors of 2906311290?
2, 3, 5, 96877043
What are the prime factors of 19424437?
19424437
What are the prime factors of 26389459?
337, 78307
List the prime factors of 207218730.
2, 3, 5, 23, 300317
List the prime factors of 420351280.
2, 5, 439, 11969
List the prime factors of 227877076.
2, 7, 8138467
What are the prime factors of 38534451?
3, 19, 676043
What are the prime factors of 145405840?
2, 5, 229, 7937
List the prime factors of 73254577.
11, 41, 59, 2753
List the prime factors of 3846525.
3, 5, 51287
List the prime factors of 1050347566.
2, 525173783
What are the prime factors of 3746253?
3, 7, 178393
What are the prime factors of 12468326?
2, 13, 337, 1423
What are the prime factors of 436470746?
2, 1231, 177283
What are t | {
"pile_set_name": "DM Mathematics"
} |
24.
8
What is the greatest common divisor of 812 and 5481?
203
Calculate the greatest common factor of 91718 and 242.
242
What is the greatest common divisor of 34 and 425?
17
What is the greatest common factor of 62 and 4123?
31
Calculate the highest common divisor of 110 and 320.
10
Calculate the greatest common divisor of 32 and 208.
16
What is the greatest common divisor of 1935 and 215?
215
Calculate the greatest common factor of 53 and 4.
1
Calculate the highest common factor of 3375 and 27.
27
What is the highest common divisor of 11 and 51953?
11
What is the greatest common factor of 12 and 4?
4
Calculate the highest common factor of 50 and 70.
10
Calculate the highest common divisor of 124 and 31.
31
What is the greatest common factor of 782 and 34?
34
Calculate the highest common divisor of 25 and 25.
25
What is the highest common divisor of 23 and 92?
23
Calculate the greatest common divisor of 80 and 192.
16
Calculate the highest common factor of 12 and 536.
4
Calculate the highest common divisor of 1849 and 301.
43
Calculate the highest common factor of 20 and 580.
20
What is the highest common divisor of 2784 and 522?
174
What is the highest common divisor of 18 and 150?
6
Calculate the greatest common factor of 360 and 460.
20
What is the highest common divisor of 11 and 143?
11
What is the greatest common factor of 12 and 7040?
4
Calculate the highest common factor of 192 and 324.
12
What is the highest common divisor of 3612 and 129?
129
Calculate the greatest common divisor of 2810 and 190.
10
What is the greatest common divisor of 8688 and 48?
48
Calculate the greatest common divisor of 3179 and 17.
17
Calculate the greatest common factor of 70 and 1785.
35
Calculate the greatest common divisor of 93 and 434.
31
What is the greatest common factor of 288 and 544?
32
What is the highest common divisor of 29 and 4147?
29
What is the highest common factor of 738 and 2173?
41
What is the greatest common factor of 2912 and 52?
52
Calculate the highest common factor of 2632 and 4277.
329
Calculate the greatest common divisor of 627 and 66.
33
What is the highest common factor of 312 and 65?
13
Calculate the greatest common divisor of 108 and 156.
12
What is the highest common divisor of 91 and 13?
13
Calculate the greatest common factor of 21206 and 46.
46
Calculate the greatest common factor of 132 and 132.
132
What is the greatest common factor of 4757 and 67?
67
What is the greatest common factor of 150 and 2175?
75
Calculate the highest common factor of 16 and 2096.
16
Calculate the highest common factor of 1670 and 10.
10
What is the highest common divisor of 445 and 85?
5
What is the highest common factor of 236 and 4?
4
What is the greatest common divisor of 102 and 170?
34
Calculate the greatest common factor of 22 and 209.
11
What is the greatest common divisor of 6 and 18?
6
What is the highest common factor of 46347 and 21?
21
What is the highest common factor of 12 and 2808?
12
Calculate the highest common factor of 1961 and 53.
53
What is the greatest common divisor of 142 and 17750?
142
Calculate the highest common divisor of 10604 and 22.
22
Calculate the greatest common divisor of 1888 and 1072.
16
Calculate the greatest common factor of 5 and 15.
5
What is the greatest common divisor of 1037 and 85?
17
Calculate the highest common factor of 48 and 1648.
16
What is the highest common divisor of 200 and 88?
8
Calculate the greatest common divisor of 17 and 697.
17
Calculate the highest common factor of 430 and 10.
10
What is the highest common divisor of 3827 and 267?
89
What is the highest common factor of 265 and 10?
5
Calculate the greatest common divisor of 59 and 5.
1
Calculate the highest common factor of 2475 and 150.
75
What is the highest common divisor of 123 and 1517?
41
What is the highest common divisor of 23 and 391?
23
Calculate the highest common factor of 224 and 476.
28
Calculate the highest common factor of 50 and 80.
10
Calculate the highest common divisor of 1264 and 80.
16
What is the highest common divisor of 143 and 2197?
13
What is the highest common divisor of 2745 and 45?
45
Calculate the greatest common divisor of 198 and 528.
66
What is the greatest common factor of 115 and 10?
5
What is the highest common factor of 188 and 32?
4
Calculate the greatest common factor of 154 and 3374.
14
What is the highest common divisor of 18 and 78?
6
Calculate the highest common divisor of 34 and 6.
2
What is the greatest common factor of 494 and 26?
26
Calculate the greatest common factor of 2117 and 29.
29
Calculate the highest common divisor of 516 and 36.
12
What is the greatest common factor of 1104 and 16?
16
What is the highest common divisor of 9 and 417?
3
Calculate the highest common factor of 23 and 736.
23
What is the greatest common divisor of 56 and 144?
8
Calculate the highest common factor of 164 and 123.
41
Calculate the highest common factor of 7 and 9.
1
Calculate the highest common divisor of 4845 and 2295.
255
Calculate the greatest common factor of 66 and 286.
22
What is the greatest common divisor of 114 and 24?
6
Calculate the highest common divisor of 54 and 459.
27
What is the highest common divisor of 123 and 1968?
123
What is the highest common factor of 8838 and 18?
18
Calculate the highest common factor of 7616 and 56.
56
What is the highest common factor of 2625 and 15?
15
Calculate the greatest common factor of 1519 and 196.
49
What is the greatest common divisor of 3 and 535?
1
What is the greatest common factor of 19 and 1881?
19
What is the greatest common factor of 2639 and 3248?
203
Calculate the highest common divisor of 45 and 10.
5
Calculate the highest common factor of 133 and 7.
7
What is the highest common divisor of 54 and 558?
18
What is the highest common factor of 20 and 490?
10
Calculate the highest common divisor of 3123 and 18.
9
Calculate the highest common factor of 470 and 188.
94
What is the greatest common divisor of 49 and 1421?
49
What is the highest common factor of 1603 and 7?
7
What is the greatest common factor of 7371 and 65?
13
Calculate the highest common factor of 16 and 632.
8
What is the highest common factor of 416 and 91?
13
What is the greatest common divisor of 12 and 1182?
6
Calculate the greatest common factor of 1225 and 1519.
49
What is the greatest common divisor of 140 and 220?
20
What is the highest common factor of 4 and 556?
4
Calculate the greatest common divisor of 1599 and 13.
13
What is the greatest common divisor of 195 and 260?
65
What is the highest common divisor of 2002 and 77?
77
Calculate the greatest common factor of 5495 and 105.
35
Calculate the greatest common divisor of 896 and 28.
28
Calculate the highest common divisor of 13 and 221.
13
What is the highest common factor of 40 and 120?
40
What is the highest common divisor of 1118 and 52?
26
What is the highest common divisor of 303 and 7171?
101
What is the greatest common factor of 24 and 440?
8
Calculate the highest common factor of 6913 and 62.
31
Calculate the highest common divisor of 70 and 5.
5
What is the highest common factor of 24 and 1608?
24
What is the greatest common divisor of 104 and 962?
26
Calculate the greatest common divisor of 72 and 768.
24
What is the highest common factor of 2910 and 480?
30
What is the highest common factor of 5600 and 14?
14
Calculate the greatest common factor of 52 and 494.
26
Calculate the greatest common divisor of 178 and 64.
2
What is the highest common divisor of 221 and 2925?
13
What is the highest common factor of 781 and 142?
71
What is the highest common divisor of 88 and 4576?
88
Calculate the greatest common factor of 920 and 276.
92
What is the greatest common factor of 153 and 1734?
51
Calculate the greatest common divisor of 368 and 12.
4
Calculate the greatest common divisor of 23 and 575.
23
What is the greatest common factor of 56 and 32?
8
What is the highest common factor of 13 and 377?
13
What is the greatest common factor of 10480 and 80?
80
Calculate the highest common divisor of 7 and 7175.
7
What is the highest common factor of 420 and 1380?
60
Calculate the highest common divisor of 9 and 1179.
9
Calculate the greatest common factor of 106 and 1643.
53
What is the highest common fac | {
"pile_set_name": "DM Mathematics"
} |
10 = 0. Suppose 4*j + o = f*o + 4, -2*j = -3*o - 12. Are 0 and j equal?
True
Let a = -8.07 - -0.07. Let b = -8.2 - a. Let x = 0.1 + -0.1. Which is smaller: x or b?
b
Suppose 2 = 5*t - 18, p - 5 = -t. Let c(b) = -b**3 + 2*b**2 + b - 1. Let f be c(p). Let a be f/5*(-10)/16. Which is greater: a or 1?
1
Let s = 3.5 + -75.5. Which is smaller: s or -2/3?
s
Let t be (-95)/(-4) + 9/36. Is t bigger than 24?
False
Suppose -i + 1 = -4. Suppose 7*g - i*g + 18 = 0. Which is smaller: g or -8?
g
Let z = -3 + 5. Let k be 4 - (0 + -3 + z). Which is smaller: k or 6?
k
Suppose -5*q + 3*f = -2, 2*q - 10 = -2*f - 22. Let j = -81 - -79. Are j and q unequal?
False
Let z(u) = -u + 14. Let q be z(-15). Is q at most 30?
True
Let q = -17 - -11. Let a be (-8)/12*q/(-4). Let j be -1 + a + 1 + 2. Which is smaller: -2/5 or j?
-2/5
Suppose -23 = 13*f + 55. Are -6 and f equal?
True
Let b(w) = -8*w + 7. Let g be b(3). Which is smaller: g or -19?
-19
Let k = -7.3 + 7. Is k less than or equal to 3/5?
True
Let l = -71 + 47. Let a = l + 25. Are a and 2/7 non-equal?
True
Suppose 3*f + 53 = -0*v + 5*v, 0 = 2*v - 5*f - 25. Is v equal to -3?
False
Let x be (-32)/(-6) + (-6)/(-9). Let v = x - 8. Let h be 6/v*2/(-15). Which is smaller: h or -1?
-1
Let a be 15/6*(-4)/40. Is -22 less than a?
True
Let l = -3.57 - -1.57. Which is greater: l or 1/3?
1/3
Suppose -5*d - 120 = -5*k, -d = 2*k + k + 32. Is -26 smaller than d?
False
Let m(c) = c**2 - 1. Let v be m(2). Suppose -x = -54 + 12. Let g be 3/2 + 7/x. Which is smaller: v or g?
g
Let z = 15 - 23. Let r = 11 + z. Which is smaller: r or -0.1?
-0.1
Let l(z) = -z**2 + 4*z - 1. Let x be l(3). Suppose i = 6*i - 5. Are i and x non-equal?
True
Let m = -1745/18 + 97. Let v = 14/9 - m. Which is smaller: 2 or v?
v
Let b = 45851/6 + -7567. Let k = 75 - b. Does 1 = k?
False
Let t(w) = 2*w + 1. Let j be t(-1). Let m = 33/7 - 34/7. Which is smaller: m or j?
j
Suppose 3*l - 6 - 9 = 0. Let n be 0/(-2) - (-15)/l. Let z be (-2)/n*1/(-1). Which is greater: z or 0?
z
Let r be (1 + -4 - -4) + 0. Which is bigger: r or 2/47?
r
Let c(n) = n**2 - 3*n - 2. Let a be c(4). Suppose -15 = 3*v - 3*r, -a*v - 2*r - 10 = 4. Let s be (-1)/(-2) + 15/v. Is 1 greater than s?
True
Suppose -3*n - n = 0. Is 4/9 smaller than n?
False
Let z(g) = -g**2 - 21*g + 28. Let b be z(-22). Is b < 2?
False
Suppose -4*f + d - 7 = 0, -f - 8 + 22 = 5*d. Let r(m) = -m + 2. Let p be r(2). Let z = -2 + p. Which is smaller: z or f?
z
Let d(b) = 5 + 0*b**2 - b**2 - 2*b - b. Let k be 1/6*9*16/(-6). Let c be d(k). Is c less than -1?
False
Let t be ((4 - 0)*1)/3. Suppose -5*r = -8*f + 3*f, -4*r + 6 = -f. Is t < r?
True
Suppose 0*o - 4*o = -1640. Let a = -5737/14 + o. Which is smaller: -1 or a?
-1
Suppose 6*b - 3*j = b - 10, 2 = -3*b + j. Let r be 0/(b + -2*1). Let w be ((r - 0) + -2)/(-9). Which is smaller: w or 1?
w
Let g = -0.325 - -0.395. Let t = 0.2 - 1.2. Let f = t - -1. Which is smaller: f or g?
f
Suppose -4*v - 60 = 5*b, -10 = 2*v - 0*v. Let o = b - -9. Which is bigger: -0.1 or o?
o
Let u = 7.437 + -0.037. Let w = u + -7. Is w smaller than -2/11?
False
Let z(j) = 2*j + 8. Let a be z(-7). Let b(o) = 2*o + 7. Let c be b(a). Let x = 0.81 - 0.81. Is x less than or equal to c?
False
Let w = -2 - -2. Let c be ((-9)/(-54))/(1/(-3)). Let l = c + 1. Is w < l?
True
Let a = 13756 + -178912/13. Which is smaller: a or -5?
a
Let m(f) be the third derivative of f**5/60 - f**4/8 + f**3/3 - 8*f**2. Let n be m(1). Does n = 5/9?
False
Suppose 3*c - 10 = -w, 0 = c - 0*c - 4. Which is smaller: w or -5/9?
w
Let a(c) = 3*c - 15. Let w be a(10). Are 15 and w equal?
True
Let u = -1/218 + -1741/654. Suppose 0 = 2*c - 3*c - p, c = -2*p + 2. Are c and u equal?
False
Let o(b) be the second derivative of -b**5/10 + b**4/6 - b**2/2 + 14*b. Suppose -5*k + 1 = -4. Let r be o(k). Is r less than or equal to -1?
True
Let z(u) = 4*u**3 + u**2 + 3*u + 3. Let b be z(-2). Is -32 >= b?
False
Let w(c) = c**2 + 4*c + 3. Let o be w(-5). Suppose 0 = -p + 5*p - o. Let q be (-1)/(-3) + 5/3. Does q = p?
True
Let z = -7/15 + -1/30. Let k(p) = p + 6. Let q be k(-6). Suppose q*r = 2*r + 4. Do r and z have the same value?
False
Let h(q) = -q**3 + 2*q - 1. Let w = 6 + -5. Let a be h(w). Are -2 and a equal?
False
Let o be -1 - 10/(-15) - 10/(-18). Which is smaller: -1 or o?
-1
Let c be 0/(1*(0 - -1)). Suppose c = 5*s - s. Which is bigger: -1/8 or s?
s
Let s be 12/78 - 12/(-91). Is s greater than 1/2?
False
Let a(t) = t**2 + 5*t - 6. Let u be a(-6). Let k(f) = f + 167. Let s be k(u). Let d = s + -1167/7. Which is bigger: d or 0?
d
Let x = -0.01 - 0.12. Let r = x + 0. Which is greater: -1 or r?
r
Let j = 0 + 0.08. Are -1/9 and j nonequal?
True
Let c be -6 - 150/(-24) - (-46)/(-120). Which is bigger: c or -1?
c
Let d be 7/2*(-8)/(-20). Is d greater than 0?
True
Let m = 161/272 - 9/17. Suppose 6*r - 3*r + 2*r = 0. Is m >= r?
True
Suppose 3*l - 2*l - 2*z - 42 = 0, 0 = -2*l + 3*z + 80. Which is bigger: 33 or l?
l
Let w = 3.4 - 3. Let k = 0.8 + 2.2. Let q = k + -3. Which is greater: w or q?
w
Let m(o) = o - 4. Let q be m(6). Let s(h) = 0*h - h - h + 3. Let u be s(q). Which is greater: u or 4?
4
Let r = 7/20 - -17/5. Let u = -49/12 + r. Is u smaller than -1/2?
False
Let h = -0.02 + 0.02. Is h at most 2/9?
True
Let h = 13.18 + -13. Which is smaller: 0.1 or h?
0.1
Let u = -7 + 6.9. Which is smaller: u or 0?
u
Suppose u + 5 = g + g, 0 = -4*u - 4*g + 16. Let s be (-43)/111 + 26/39. Let p = -2/37 - s. Which is greater: p or u?
u
Let r = 63 + -1. Is 0.1 greater than or equal to r?
False
Let u(q) = q**3 - 8*q**2 + 6*q + 6. Let i be u(7). Let b be ((-15)/9 - -2) + i. Is -1 equal to b?
False
Let w = -7 - 13. Let a be (6/w)/(6/(-5)). Suppose 0 = 4*h - 3*h + 1. Is h equal to a?
False
Let s = -513/5 + 103. Suppose u - 5 - 2 = -2*i, 0 = 4*u - 5*i + 11. Is s < u?
True
Let n(w) = 3*w + 20. Let p be n(-8). Let q = p - -7. Is q greater than 3?
False
Let k = 35 + -32. Suppose 0*r - 11 = -2*r + 5*j, -2*r + 2*j = -8. Are r and k nonequal?
False
Let p(b) = -17*b + 16. Let x be p(2). Which is smaller: -19 or x?
-19
Let d(j) = 6*j - 7. Let b be (-2)/3 - (-98)/21. Let v be d(b). Which is smaller: 16 or v?
16
Let p = -201 - -200.9. Which is smaller: p or -0.28?
-0.28
Suppose 2*i + 4 = i + g, 4*g = 0. Which is bigger: i or -3?
-3
Let w = -38 + 54. Is 15 <= w?
True
Let n be (-1)/6*(-3 - 1). Let g(v) = -2*v - 9. Let r be g(-7). Let l(q) = -q**3 + 4*q**2 + 6*q - 3. Let d be l(r). Which is bigger: d or n?
d
Let y = -4.2 - -3.2. Are y and 8 nonequal?
True
Let c(h) = h**2 - 11*h + 12. Let z be c(9). Suppose f = -5 + 4. Let b be (3/z)/(f/(-2)). Is b at least as big as -1?
True
Suppose o + 19 - 104 = 0. Let p be o/45*(-78)/4. Let f = -37 - p. Which is smaller: f or 1?
f
Let i be ((-222)/8)/((-1)/(-8)). Let m = i + 2440/11. Let v(y) = -y**2 + 5*y - 1. Let o be v(5). Which is bigger: o or m?
m
Let n be 4/2 - (-287)/(-147). Is n greater than -1?
True
Let k = -1 + 0.97. Let h = 4.97 - k. Is -0.2 at most as big as h?
True
Let b = 149/21 - 20/3. Which is greater: 0 or b?
b
Let s be ((-1)/2)/(5/(-20)). Suppose 6*l = 2*l + 3*n + 4, -2 = -s*l - 5*n. Which is smaller: -3/7 or l?
-3/7
Suppose 5*h - 46 = 24. Suppose 15 = -3*c, 3*c + h = g - 0. Let u be 4/4*(g + 0). Which is greater: -3/2 or u?
u
Suppose -3*c + 39 = 3*u + 12, -4*u - 2*c + 38 = 0. Let f(s) = -s**2 + 11*s - 8. Let y be f(u). Is 5/4 smaller than y?
True
Let a = 0 - -2. Suppose 6*p - 4 = a*p. Let n = 143/540 + -2/135. Which is bigger: n or p?
p
Let q = -3 + 3. Let z = -212 - -1699/8. Which is bigger: z or q?
z
Let s(l) = l**2 + 6*l + 5. Suppose i = -2*w - 12, -i - 2*i - 2*w = 20. Let h be s(i). Let r be (-2)/7 + 4/14. Does r = h?
False
Let r = -71 + 73. Is -16/9 at least as big as r?
False
Let j = 0.6 + 0.4. Let d = j - 2. Suppose a + 8 = 4*v - a, -v - 20 = 5*a. Is v less than d?
False
Let z = -0.082 + 0.182. Do z and 6/5 have the same value?
False
Let g(n) = -n + 2. Let p be g(3). Let t be 4/(-2*(-3)/(-9)). Let c be -2*(3/t)/(-1). Is p greater than c?
False
Let m(y) = 4*y + 12. Suppose -2 - 3 = -l. Let i(k) = -5*k - 13. Let n(v) = l*i(v) + 6*m(v). Let t be n(6). Is t at most as big as 3?
True
Let t be ((-18)/(-27))/(34/13470). Let d = 264 - t. Is d greater than 1?
False
Suppose -2*j + 13 = -u, u + 7 = -j + 6*u. Let t = j + -7. Is t a | {
"pile_set_name": "DM Mathematics"
} |
Is o(-22) a composite number?
True
Let v = -27 - 3. Let g = v - -30. Suppose g = q + 5, -2*p - 2*p + q = -585. Is p composite?
True
Suppose 4*m - 26 = -k, -3*k = 5*m - 17 - 19. Let c(o) = 3*o - 7. Let n be c(3). Is (652/m)/(n/3) a composite number?
False
Suppose -5*q + h = -7712, 2*q + 5*h = 3131 - 30. Is q a prime number?
True
Is 16/(-40)*-5 + 3807 composite?
True
Suppose -5*f + 5*x = -6*f + 807, -2*x = -f + 807. Is f a composite number?
True
Let g(b) = 5*b + 9. Let u be g(1). Suppose u*o + 1541 = 6147. Is o prime?
False
Suppose z - i - i - 2716 = 0, 3*i = -5*z + 13645. Let h = z + -739. Is h a prime number?
True
Suppose 0 = -4*y + 2 + 46. Is (-2 + -594)*(-3)/y composite?
False
Suppose 4*x + 10 + 10 = 3*q, -x = 5. Suppose q = -5*g + 826 + 339. Is g a composite number?
False
Let o(k) = k**2 + 3*k - 10. Let f be o(-5). Let p(t) = t**3 + t + 6. Let u be p(f). Suppose u*w - 2*w = 196. Is w a prime number?
False
Let w = -338 - -859. Is w composite?
False
Let m(u) = 8*u**2 - 8*u - 2. Let f be m(11). Let s = f - 284. Let n = 857 - s. Is n composite?
False
Suppose 0 = 7*r - 5*r + 772. Suppose 59 = -3*c + o + 2277, 0 = 3*c + 2*o - 2233. Let z = c + r. Is z prime?
False
Is (-2 + -4 - 19792)*1/(-2) a composite number?
True
Let f be 0/(-1 - 0/(-1)). Suppose f = -5*a - 4 + 9. Is a + 352/(4 - 0) a prime number?
True
Let h(u) = -u**3 + 2*u**2 + 4*u + 9. Is h(-4) a prime number?
True
Let a = -35519 - -63616. Is a a prime number?
True
Let n = 37 - 39. Is n/(-15)*6387 + (-3)/5 a prime number?
False
Let u be -2 + 5 + 1 + -2. Suppose -7124 = -u*o - 2*o. Is o a prime number?
False
Let n be 1940/(15/18 - 2/(-12)). Is (7/4)/((-5)/n)*-1 a prime number?
False
Let c(y) = 2*y**3 - 2*y**2 + 6*y + 5. Let l = 7 - 26. Let v = l + 25. Is c(v) prime?
True
Suppose 4*g - 2 - 26 = 0. Suppose 3*r = g*r - 1172. Is r a composite number?
False
Suppose -122*b + 26086 = -120*b. Is b a prime number?
True
Suppose 21*v - 165250 = 258971. Is v a composite number?
False
Let i = 1130 + 1135. Suppose -n - 9070 = -4*w - 0*n, -w - n + i = 0. Is w a composite number?
False
Let c(i) be the third derivative of 0*i - 6*i**2 + 11/24*i**4 + 0 + 1/6*i**3 - 1/60*i**5. Is c(8) composite?
True
Let p(i) be the first derivative of i**6/72 - i**5/15 - i**4/24 - 4*i**3/3 + 4. Let h(w) be the third derivative of p(w). Is h(10) prime?
True
Let m = 0 - -5. Let f(v) = 78*v - 3. Let h(a) = 77*a - 3. Let r(p) = 3*f(p) - 2*h(p). Is r(m) a prime number?
True
Let a(f) = -4*f + 13650. Suppose 4 = -2*o + 4*c, -c - 5 = 3*o - 6*c. Let u be a(o). Is u/45 + (-2)/6 composite?
True
Suppose z - g - 9 = 0, -g + 4 = -2*z + 21. Suppose 50 = 2*o + z. Suppose -l + o = 2*l. Is l composite?
False
Let n(g) = 91*g**2 - 126*g - 1. Is n(-34) prime?
False
Let u be 51/(-34)*2084/3. Let a = -599 - u. Is a prime?
True
Let l = 24 - 15. Let z(p) = l*p + 13*p - 3*p. Is z(5) prime?
False
Suppose 1 = 4*p + g - 6, p + g = -2. Suppose 5*y - p*c = 3170, -3*y + 1913 = -7*c + 3*c. Is y prime?
True
Let x(r) = -401*r + 137. Is x(-4) a prime number?
True
Let v = 21 - 42. Let l be (-4)/(-14) + (-99)/v. Suppose -3*h = -5*c + 337, l*h = -2*c + 122 - 12. Is c a composite number?
True
Let v = -315 + 181. Suppose 3*j - 4*i = 11, 6*j - 2*j - 6 = i. Is v*j*(9 - 10) a prime number?
False
Is (704/2 + (-6)/4)*2 a prime number?
True
Suppose 3*c - t - 12 = 9, 2*t + 6 = 0. Suppose g = 5*a - c, 4 = -3*a + 2*g + 2. Suppose -i + 6*i - 1258 = -u, a*i = u + 499. Is i a composite number?
False
Suppose -9 = 6*g - 387. Let r = 80 + g. Is r a prime number?
False
Is (-138)/4*1*(-1 - 1) composite?
True
Let b be (-4)/6 - 40/(-15). Suppose -8*r + 2910 = b*r. Is r prime?
False
Suppose 3*c = -8*y + 3*y + 11659, 0 = -2*y - 5*c + 4656. Is y composite?
False
Let w(b) = 4 - 5 - 44*b + 425*b + 4. Let u be w(6). Suppose -4*x = -u + 341. Is x a prime number?
True
Let u(o) = 5*o - 13. Let h be u(4). Suppose h*k = 13*k - 522. Is k composite?
True
Let o be (-2 - (-1902)/(-3)) + -2. Is 9/2*o/(-33) a prime number?
False
Suppose -34*i + 3383414 = 84*i. Is i composite?
True
Suppose 0 = -0*b + 2*b - 5*o - 19, 0 = b - 5*o - 17. Let i be (-4)/b - 1 - -170. Suppose -3*x + n = -0*n - i, -45 = -x - 5*n. Is x a prime number?
False
Suppose 5258 = 453*a - 451*a. Is a a composite number?
True
Is (-90732)/(-30)*15/6 a prime number?
True
Let v be 2598/(-1)*133/(-21). Is v/26 - 2/(-13) a prime number?
False
Let p be ((-6)/12)/(3/(-52278)). Suppose 4*o + p = s + 3152, -2*s + o = -11157. Is s composite?
False
Let x be 3/((-27)/(-38)) + (-28)/126. Suppose 0 = x*i + b - 3286, -4*i = -9*i + b + 4103. Is i prime?
True
Suppose 5*a = -3*x + 5*x + 7, 3*a = 9. Suppose 10 = 5*b, x*b + 599 + 96 = u. Is u a prime number?
False
Suppose 1227 = 3*i + 354. Suppose 0 = -2*z - 4*x + 788, -2 - 2 = -2*x. Let g = i + z. Is g composite?
True
Suppose -85*h + 2967 = -82*h. Is h a prime number?
False
Suppose 0 = 9*u - 8*u - 1535. Suppose -3*j + 12 = 4*c + 3, 0 = c + 3*j. Suppose 0 = c*q + 2*q - u. Is q a composite number?
False
Let m(v) = 171*v**2 - 3. Let i be m(-3). Suppose -5*w + 5*p + 5263 = p, -3*w + 4*p = -3161. Let y = i - w. Is y prime?
False
Let v = 636 + 233. Is v composite?
True
Let x(t) = -t**3 + 9*t**2 - 19. Let p be x(9). Let q(g) = -g**3 - 14*g**2 + 7*g - 1. Is q(p) a composite number?
True
Suppose 0 = 4*z + 46 - 2. Let d(r) = -r**3 + 6*r**2 + 20*r + 10. Is d(z) prime?
True
Let l(t) = t**3 - 10*t**2 + 19*t - 11. Let f be l(17). Let h = f - 1380. Is h a prime number?
False
Let v(l) be the first derivative of 17*l**4 - 2*l**3/3 + l**2/2 - 7. Suppose 2*k - 2 = -0*k. Is v(k) a composite number?
False
Let y(u) = -2*u**2 + 45*u - 4. Let b be y(22). Let d(w) = 48*w - 61. Is d(b) a prime number?
False
Let j(o) = -199*o**3 + 2*o**2 - 68*o + 3. Is j(-8) a prime number?
True
Let k(u) = -u**2 - 2*u + 1. Let x be k(3). Let f = x + 23. Suppose -185 = -f*t + 8*t. Is t prime?
False
Suppose 4*o = -335 - 49. Is (0 - (-1100 - 1)) + o/48 a prime number?
False
Let t(c) = -2*c + 10. Let p be t(6). Let o be 6/p*(-2124)/27. Let h = -15 + o. Is h a composite number?
True
Suppose -3*c + 5020 = 2*c. Suppose -5*k = -f + 2316, -f + 3305 - c = -2*k. Is f prime?
False
Suppose 0 = h - 10 + 4. Suppose -h*x + 3*x + 4605 = 0. Is x composite?
True
Let b = 3 + -1. Suppose 0 = -2*o + 1343 - 257. Suppose -s + 553 = 3*r, -2*s - o = -3*s + b*r. Is s a composite number?
False
Suppose 2083 = 5*t - g - 2107, -g = -t + 834. Is t a prime number?
True
Let l(d) be the third derivative of -d**4/12 - 10*d**3/3 - 7*d**2. Let o be l(-11). Suppose -5*i = 5*a - 660, -o*i - 625 = -9*a + 4*a. Is a prime?
True
Let z be ((-1056)/40)/((-6)/80). Suppose -o = 3*o - z. Is -2 + 0 + o - -1 a prime number?
False
Let a = 67746 + 18959. Is a composite?
True
Let t = -1546 + 961. Let s = -115 + -213. Let l = s - t. Is l prime?
True
Suppose -2*x - 276 = -2*n + 898, n - 587 = 4*x. Is n a prime number?
True
Suppose 3931 = h + 4*h + 3*m, h - 4*m - 777 = 0. Let o(j) = j**3 + 19*j**2 + 5*j - 31. Let x be o(-20). Let f = h + x. Is f composite?
True
Let v(d) = d**3 + 8*d**2 - 7*d + 11. Let c be v(-8). Let y = 102 - c. Let u = y - 13. Is u prime?
False
Let p = 5304 - 2887. Is p composite?
False
Suppose 39*h - 268129 = 289298. Is h prime?
True
Suppose w = 3*m - m + 29783, -4*m - 148933 = -5*w. Is w composite?
False
Let s = -1 - -1. Suppose -3*k = -2*i - 26, -k + 9 = -4*i - 13. Suppose -k*p + 3*p + 33 = s. Is p prime?
True
Is 25535/(-10)*(3 - 25) a prime number?
False
Let p = -29 - -40. Let s be 8/(-12) - p/(-3). Suppose s*q = 6*q - 1623. Is q prime?
True
Let d = 20 + -25. Let o be (-110)/50 + (-1)/d. Is -141*(o - 1)/9 composite?
False
Let p(g) = 21*g**2 + 6*g - 9. Let t be p(2). Let h = t - 81. Is h composite?
True
Let l be (3 + -6 + 4)*8. Let a = -10 + l. Is a/(16/92)*-10 a prime number?
False
Suppose -27*q + 5169 = -26*q. Suppose 4*x + 1034 = b - 695, 3*b - 3*x - q = 0. Is b composite?
False
Let z(q) = -q**3 + q**2 - q + 44. Let t be z(0). Suppose -3*f + 2*h = -1471 + t, 2380 = 5*f - 3*h. Is ((-4)/(-1))/2 + f a composite number?
True
Let i(v) = 376*v**2 - 31*v + 66. Is i(5) prime?
True
Let a = 1 + -1. Suppose 3*j - 7*j + 8 = a. Suppose 3*x + 3*t = 2*t + 744, 5*x - 1229 = j*t. Is x composite?
True
Let v(d) = -24*d - 24 + 6*d + 55 - 6*d. Is v(-4) a composite number?
False
Is (12981/5)/((- | {
"pile_set_name": "DM Mathematics"
} |
ase 13
563
-2767 (base 9) to base 2
-100000100110
165aa (base 11) to base 6
300040
Convert -958 (base 15) to base 8.
-4074
-851 (base 13) to base 14
-734
-1196 (base 10) to base 6
-5312
1034311 (base 6) to base 12
25997
1455 (base 16) to base 9
7123
-3406 (base 12) to base 6
-42410
What is -425 (base 8) in base 2?
-100010101
What is -3303 (base 8) in base 3?
-2101010
Convert 158 (base 14) to base 15.
134
What is -28400 (base 9) in base 15?
-5aa3
What is 111202122 (base 3) in base 16?
2732
-1200210 (base 3) to base 14
-644
4141 (base 7) to base 16
5aa
131145 (base 6) to base 8
27251
Convert 12203 (base 4) to base 13.
263
698 (base 10) to base 15
318
-72a (base 11) to base 3
-1012120
Convert 10001110 (base 3) to base 9.
3043
What is 217f (base 16) in base 13?
3b98
-1111001021 (base 3) to base 14
-a8d4
1863 (base 11) to base 9
3221
Convert -173 (base 16) to base 9.
-452
Convert -18ad (base 14) to base 5.
-120330
What is -10313002 (base 4) in base 7?
-112015
a77 (base 15) to base 10
2362
Convert -569a (base 13) to base 5.
-342001
Convert 211000 (base 3) to base 16.
252
134635 (base 7) to base 3
1022020221
1011100 (base 2) to base 9
112
Convert -1370 (base 10) to base 5.
-20440
1041 (base 8) to base 7
1406
What is 10162 (base 8) in base 10?
4210
Convert -10c (base 16) to base 8.
-414
4381 (base 9) to base 8
6240
What is 402322 (base 6) in base 4?
13232222
3113333 (base 4) to base 12
7bbb
4541 (base 7) to base 6
11342
What is 12101 (base 3) in base 6?
401
-32605 (base 9) to base 13
-9b00
b669 (base 15) to base 8
113256
432 (base 9) to base 2
101100001
What is -2af (base 16) in base 14?
-371
-111011010001111 (base 2) to base 9
-45563
3611 (base 7) to base 14
6b1
Convert -3654 (base 7) to base 11.
-1029
What is 2d06 (base 16) in base 15?
3636
Convert -21234 (base 6) to base 12.
-181a
What is 17cb (base 13) in base 2?
110111011011
What is -143162 (base 7) in base 8?
-65615
-1365 (base 7) to base 14
-2a5
16b (base 12) to base 3
22102
What is 14040 (base 5) in base 15?
515
What is -120211 (base 3) in base 9?
-524
What is 21 (base 3) in base 11?
7
5564 (base 12) to base 14
3620
Convert 1d (base 14) to base 2.
11011
-2845 (base 9) to base 11
-1682
What is -32e0 (base 16) in base 11?
-9870
What is 9296 (base 11) in base 15?
39bb
Convert -34305 (base 7) to base 8.
-21027
What is -20001001 (base 3) in base 15?
-1487
What is -432213 (base 5) in base 13?
-68b6
Convert 524 (base 14) to base 7.
2644
Convert -11340 (base 9) to base 5.
-220234
Convert 22111 (base 5) to base 15.
6c1
Convert -107 (base 14) to base 16.
-cb
What is -10101 (base 4) in base 3?
-101010
What is -65 (base 15) in base 14?
-6b
What is -1001110100 (base 2) in base 12?
-444
507 (base 11) to base 14
31a
1010100110111 (base 2) to base 6
41051
What is 5411 (base 7) in base 14?
9b1
-22221 (base 3) to base 13
-157
4051 (base 7) to base 2
10110000000
Convert -28 (base 13) to base 15.
-24
Convert 2201230 (base 4) to base 3.
112012021
-651a (base 11) to base 5
-233422
What is 1001222 (base 3) in base 7?
2165
Convert 1451 (base 10) to base 9.
1882
-492 (base 11) to base 7
-1464
Convert -220222 (base 3) to base 16.
-2a2
Convert -2504 (base 12) to base 5.
-113210
What is 1013 (base 9) in base 14?
3ad
What is d604 (base 15) in base 5?
2421404
Convert -101110110 (base 2) to base 8.
-566
-624 (base 8) to base 11
-338
What is -22102131 (base 4) in base 16?
-a49d
Convert -424 (base 13) to base 15.
-321
Convert -2323 (base 12) to base 10.
-3915
Convert 10101221 (base 3) to base 7.
10144
-22164 (base 11) to base 2
-111110110000111
7ce2 (base 15) to base 14
9957
What is -3242 (base 8) in base 6?
-11510
Convert -111110001010101 (base 2) to base 14.
-b857
Convert -43260 (base 10) to base 4.
-22203330
What is 65a4 (base 11) in base 8?
21001
Convert -19664 (base 10) to base 4.
-10303100
53445 (base 6) to base 14
2937
-10111101 (base 2) to base 11
-162
-1425 (base 7) to base 3
-202200
What is 858c (base 14) in base 10?
23056
Convert 50344 (base 6) to base 16.
19d8
What is 7a (base 13) in base 14?
73
8a31 (base 12) to base 4
3233011
Convert -155342 (base 6) to base 14.
-58d0
Convert 879 (base 10) to base 3.
1012120
127cb (base 14) to base 8
130617
-41454 (base 6) to base 3
-21122121
-210100 (base 3) to base 16
-240
73a6 (base 11) to base 8
23104
Convert 100001011100110 (base 2) to base 12.
9ab2
11245 (base 6) to base 16
64d
-1220000102 (base 3) to base 7
-213266
What is -661 (base 9) in base 2?
-1000011101
What is -101021121 (base 3) in base 10?
-7495
What is 3066 (base 9) in base 2?
100011000111
What is -3928 (base 12) in base 8?
-14560
-3233 (base 4) to base 5
-1424
-244 (base 13) to base 5
-3034
Convert -322033 (base 4) to base 13.
-1909
122120 (base 3) to base 9
576
Convert 3375 (base 8) to base 7.
5134
-3162 (base 9) to base 8
-4424
-7c0 (base 13) to base 2
-10100111011
Convert 471 (base 9) to base 3.
112101
-15552 (base 6) to base 16
-a1c
What is -12242 (base 5) in base 16?
-3b3
200 (base 16) to base 12
368
What is 7586 (base 9) in base 8?
12722
e3 (base 16) to base 3
22102
Convert -3012 (base 5) to base 14.
-1d4
What is -1c77 (base 13) in base 3?
-12221010
What is -1015 (base 12) in base 9?
-2348
What is -5764 (base 11) in base 7?
-31035
What is -3032 (base 5) in base 16?
-188
What is -ad (base 15) in base 3?
-20001
20a (base 14) to base 7
1113
-2a0 (base 11) to base 3
-111001
Convert 5e (base 16) to base 7.
163
What is -1221200112 (base 3) in base 5?
-2212113
What is 2576 (base 12) in base 14?
17aa
What is -20201 (base 3) in base 13?
-10c
-89 (base 14) to base 13
-94
Convert 226 (base 11) to base 15.
130
-417 (base 15) to base 14
-49c
What is -1aa (base 15) in base 12?
-281
What is 13581 (base 9) in base 2?
10010000001010
What is 1bb (base 15) in base 14?
209
Convert 18596 (base 11) to base 15.
7a84
-4102 (base 5) to base 14
-299
-111020 (base 3) to base 7
-1020
What is -330451 (base 6) in base 3?
-1101120111
Convert -20001021 (base 3) to base 4.
-1010320
What is -660 (base 8) in base 3?
-121000
Convert -62212 (base 8) to base 2.
-110010010001010
Convert 3014414 (base 5) to base 9.
72884
Convert 2334 (base 5) to base 15.
17e
Convert 121102 (base 4) to base 14.
838
24624 (base 7) to base 3
22220020
-1110010101 (base 2) to base 9
-1228
41312 (base 5) to base 13
1303
110021112 (base 3) to base 12
521b
Convert -6a (base 11) to base 2.
-1001100
What is -3130124 (base 5) in base 8?
-145312
Convert 17360 (base 8) to base 12.
4700
-33367 (base 8) to base 4
-3123313
What is -482 (base 12) in base 11?
-563
What is 1663 (base 9) in base 3?
1202010
What is -14267 (base 9) in base 2?
-10010111100100
Convert 7477 (base 16) to base 2.
111010001110111
-1ba3 (base 12) to base 10
-3435
Convert -441131 (base 5) to base 9.
-22721
What is 2144 (base 14) in base 15?
1a7e
252a4 (base 12) to base 14
145ac
-5b0 (base 16) to base 11
-1104
Convert 1224040 (base 6) to base 2.
10000000010011000
Convert 1346 (base 12) to base 3.
10001000
-2de8 (base 15) to base 8
-23245
-7091 (base 14) to base 15
-5ae0
Convert -201323 (base 4) to base 15.
-99b
Convert 331203 (base 4) to base 16.
f63
245a (base 14) to base 10
6352
1655 (base 7) to base 16
2a5
Convert 127065 (base 8) to base 2.
1010111000110101
What is -1540 (base 7) in base 3?
-211211
-1110310 (base 5) to base 6
-230023
-471 (base 10) to base 16
-1d7
Convert 138a7 (base 11) to base 7.
111330
3c (base 13) to base 14
39
Convert -1011000010 (base 2) to base 10.
-706
What is 1310 (base 7) in base 3?
200102
Convert -14616 (base 8) to base 2.
-1100110001110
-4064 (base 7) to base 5
-21133
Convert 8b (base 13) to base 5.
430
-52505 (base 7) to base 2
-11001010001101
Convert -14433 (base 6) to base 15.
-a50
Convert 73 (base 8) to base 13.
47
What is -1011010101000111 (base 2) in base 14?
-12cab
What is 8b9a (base 12) in base 13?
70b4
114 (base 14) to base 10
214
What is 1769 (base 10) in base 4?
123221
382 (base 12) to base 3
201122
Convert 12666 (base 7) to base 8.
6545
Convert -5902 (base 11) to base 7.
-31404
What is 3103313 (base 4) in base 12?
7a1b
What is 10020233 (base 4) in base 8?
41057
Convert d256 (base 14) to base 10.
36140
Convert -65b2 (base 14) to base 3.
-220010212
-100001011 (base 3) to base 12
-3994
Convert 18189 (base 14) to base 6.
1144541
What is -5115 (base 10) in base 7?
| {
"pile_set_name": "DM Mathematics"
} |
f (1670/(-7515))/((-1)/(-189))?
-42
What is ((-2)/14)/((-1168)/63072)*(21/2)/(-3)?
-27
What is 43*100/(-30)*(-12)/40*1?
43
What is (-8)/84*154/121?
-4/33
11/(-2)*(-145)/(331760/2184)
21/4
What is the value of ((-198)/(-65472)*-62)/((-11)/(-12))*16/3?
-12/11
Calculate 4130/(-15045)*(-15)/(-70)*-1.
1/17
What is ((-456)/14)/((-557)/(635537/326))?
114
What is the value of 12/2*(-9213)/(-777)*14/(-12)?
-83
Calculate (3660/4270)/((-2)/(-49)).
21
(1/(10/2))/((-71)/(7100/(-30)))
2/3
What is the value of ((-284)/(-1704))/((-9)/(-2376))?
44
What is the value of (10/(-24))/((-23790)/(-1008696))?
-53/3
Calculate (15/12)/(-10*(-13)/520)*(-1)/(-18).
5/18
Evaluate ((-335280)/1524)/(2/1).
-110
Calculate (-900)/1560*429/(-110).
9/4
What is (17825/460)/(300/1600*(-10)/6)?
-124
What is (252/294)/(((-2592)/160)/(-27))?
10/7
(13398/43120*-20)/((-1)/(-14))
-87
Evaluate ((-561)/17)/66*64/(-112).
2/7
((-1804)/738)/(255/(-425)*(-8)/18)
-55/6
What is the value of 740080/111012*26/(-40)?
-13/3
What is (1216/228)/(((-30)/(-20))/3)?
32/3
What is the value of (-520)/(-1820)*595/(-2)?
-85
Calculate (-232)/(-174)*50/(-160)*-156.
65
What is the value of (7/(1050/40))/((-12)/((-3600)/(-15)))?
-16/3
Evaluate (((-1)/(-12))/((-19)/((-304)/(-6))))/(1188/81).
-1/66
What is the value of -57*1/(-6)*116/29*-1*2?
-76
What is the value of ((-2177604)/(-216))/(-143)*6/(-9)?
47
What is the value of -17*18/459*((-10)/3)/(-5)?
-4/9
(-5)/(-1012)*(-253)/((-314985)/(-1992))
-2/253
What is the value of ((-271)/271)/(((-90)/(-225))/((-6)/5))?
3
Calculate 2*(((-40)/70)/(256/(-1344)))/(-148*1).
-3/74
(8/(-24))/(-38*96/(-580032))
-53
What is 30/7*319200/42750?
32
((36/(-12))/(6/(-8)))/(13640/(-220))*6
-12/31
Calculate -4*((-453097)/159)/(-83)*1/(4/3).
-103
Calculate (150/(390/39))/((-35)/56).
-24
What is (-840)/5250*(-30)/36*18/(-8)?
-3/10
(28/(-14))/(((-4859)/(-226))/((-1)/2))
2/43
Calculate (143*(-24)/(-528))/(((-2)/12)/((-8)/(-12))).
-26
((-148)/370)/((-24)/(-110))
-11/6
Calculate ((-100125)/2136)/(305/(-488)).
75
((-96)/7)/((-22404)/(-117621))
-72
What is the value of (-5)/10*-12*10/480*-46?
-23/4
What is ((-15)/(-385))/((-2943)/123606)?
-18/11
What is (928/(-2320))/((-64)/(-4080))?
-51/2
Calculate (-2)/(84/(-270396)*-87).
-74
What is the value of 3857/(-76)*(-16)/28?
29
Evaluate 39/(-11856)*96*((-66)/(-55))/(4/10).
-18/19
What is the value of (-8*25/(-240))/(350/105*(-6)/(-20))?
5/6
2/(-11)*(-6996)/(-38160)
-1/30
136/(-17)*109/(-327)*90/(-4)
-60
13*34/(-663)*30
-20
What is the value of -21*6069/(-18326)*(-4)/(-9)?
34/11
What is the value of ((-56)/72)/((304/(-19))/576)?
28
(14*52/98098)/((-2)/(-11))
2/49
Calculate (-6)/(209/(561/51)).
-6/19
What is (-205)/(-1148)*-24*8/16?
-15/7
Calculate ((-350)/210)/(245/(-294)*(-4)/50).
-25
Evaluate (2/(-88))/((-2)/(-44)).
-1/2
Calculate ((-141)/(-6))/((4465/380)/(-47)).
-94
(((-1200)/(-24))/25)/((-11)/((-3080)/(-16)))
-35
What is ((-84)/(-490))/(204462/(-4298))?
-2/555
Evaluate (252/15)/((-42)/(-28))*(1980/(-24))/(-33).
28
What is the value of (2*(-110)/60)/((20/(-5))/(-8))?
-22/3
What is the value of ((-36)/(-111))/3*-13*21/1092?
-1/37
Evaluate ((45/19)/(-3))/((1190940/3312)/(-863)).
36/19
-9*((-112)/21)/((162/39)/(-9))
-104
Calculate 120/66*(126/(-168))/(30/(-32)).
16/11
Evaluate (140/10)/((-912)/190*5).
-7/12
What is the value of -5*((-4)/(-8))/(62/(2108/(-1785)))?
1/21
Evaluate (-1)/3*49/((-21805)/(-979)).
-11/15
What is 6/(-9)*-114*390/(-26)*3/(-36)?
95
1*-1*((-21)/378)/((-33)/((-16038)/(-180)))
-3/20
What is the value of 240/(-1248)*(-3)/((-225)/70)*(-36)/(-147)?
-4/91
Evaluate (-68)/991440*-81*-8.
-2/45
Calculate ((-160)/24*4/(-60))/(46/161*49).
2/63
Evaluate 10/(-220)*1364/(-248).
1/4
Evaluate -2*7*(1690/1521)/(10/36).
-56
Evaluate (-2)/(-21)*(-132804)/3689.
-24/7
What is (-42)/(-203)*(-25375)/(-217875)?
2/83
Calculate (((-755082)/553)/(-59))/(-9*5/(-105)).
54
What is the value of -5*7755/(-6600)*24/3?
47
-6*7/3*-1*2105/(-338905)
-2/23
Evaluate 24/(-21)*(-5061)/(-34704).
-1/6
Calculate -3*26*56/364.
-12
What is (-2)/(46/(-61))*(-61180)/(-2660)?
61
(158/(-6))/(8/16*7/(-42)*4)
79
What is the value of ((6072/16)/11)/(((-9)/5)/((-5)/25))?
23/6
What is the value of ((1/(-15))/(10/36))/((3813/(-155))/(-41))?
-2/5
What is the value of ((-10)/14)/((24420/(-14168))/111)?
46
Evaluate ((-2)/4160)/((-2534)/81088).
1/65
What is the value of (179/(600545/61))/(2*(-2)/(-8))?
2/55
What is the value of (-3)/66*(12/(-14))/((-138)/966)?
-3/11
33/(-121)*29/(-435)*2365
43
What is (41/((-6355)/2511))/((-9)/15)?
27
What is the value of (-230)/(-6)*6762/56350?
23/5
What is (-5)/35*(-4844)/346*2/(-4)?
-1
Evaluate ((-1340)/(-1675)*5/203)/((-18)/(-21)).
2/87
What is the value of (16/13)/((-80478)/58123)?
-8/9
((-27)/(-7))/((2/(-42))/((-1431)/(-4293)))
-27
What is (-569)/8535*(-360)/1164?
2/97
Evaluate (10/(-3)*80/16)/(-4*4/24).
25
What is 189/504*(115/138)/((-1)/(-8))?
5/2
(-198)/(-2233)*84/18*4/(-32)
-3/58
Calculate (27/(-1))/(254/(5842/(-69))).
9
Evaluate ((-12)/264*3)/(((-1512)/(-1344))/(3/(-2))).
2/11
(36/10)/((-1694)/1210)*2/(-30)
6/35
Calculate (((35/14)/5)/1)/(15*6/17100).
95
What is the value of (9/(-2))/((-35)/(945/54))?
9/4
What is (-6)/(((-1)/3)/(20/((-12600)/(-385))))?
11
Calculate 4/(312/((-168)/(-21)))*6*1.
8/13
What is 86/4*292/((-6424)/44)?
-43
Evaluate (-248)/(-68)*4777/281.
62
What is (-1312)/(-1968)*9/138?
1/23
6/195*-45*215/129
-30/13
Calculate (-5600)/56*3/24*44/55.
-10
32/(-120)*126/(-28)
6/5
What is 2046/(-1364)*2/17?
-3/17
What is ((-1)/(1/2))/(48*460/(-240))?
1/46
What is the value of ((-7653762)/46107)/(1/(2*(-1)/(-4)))?
-83
What is ((1344/(-272))/42)/(11/(-110)*-5)?
-4/17
Evaluate (-80)/(-55)*5/40*-44.
-8
What is ((-16)/(-8))/((-7)/(28/(-16)))*(-206)/(-12978)?
1/126
Evaluate ((36/180)/(1/(-2)))/((49/35)/(-7)).
2
What is the value of ((128/(-112))/((-18)/7))/(((-2950)/(-675))/1)?
6/59
Evaluate (-134)/(-2*(-48)/864*9).
-134
What is the value of (-91)/((-4641)/408)*15/(-40)?
-3
Calculate 99*(-82)/17589*(-51)/(-9).
-34/13
Calculate 19*86/(-3268)*-142.
71
((-3)/(-15))/((-13061)/706*(-4)/10)
1/37
(((-24)/(-28))/((-2760)/483))/(((-108)/(-15))/3)
-1/16
Calculate ((-2380)/(-100))/(1540/3300).
51
What is 98/1960*-30*(-3)/(66/(-4))?
-3/11
What is ((-59)/(-118))/(-3*11/(-2772))?
42
What is (-3668)/(-1048)*18/21*-21?
-63
Calculate (990/495)/(46/(-161)).
-7
Calculate ((-990)/(-891))/(10/(-45)).
-5
(1/(-1*2))/(17*(-1545)/10506)
1/5
What is the value of ((-9)/60*-8)/(-17*(-3)/1785*-1)?
-42
What is the value of 21/((11/110*-5)/((-13)/(-39)))?
-14
What is (-48*6/2472)/((-690)/115)?
2/103
What is the value of (((-44)/(-5))/2)/(119*344/307020)?
33
What is ((-3)/((-345)/4))/((5746/(-201110))/(6/14))?
-12/23
What is 1/50*1134/(-42)*(25/(-3))/5?
9/10
(-5019)/76958*(-161)/(-56)
-3/16
What is (-7625)/(-260775)*-9*1?
-5/19
What is the value of 12*55*(-60)/3009600?
-1/76
What is (-6)/(-423)*(-68)/((-2108)/(-31))?
-2/141
Evaluate (50/16)/(-42*955/(-32088)).
5/2
What is (-115)/621*(-8)/(160/3)?
1/36
What is the value of (-94)/((2*(-12)/(-4))/(-3))?
47
2*2492/(-1691)*19
-56
Calculate (-4774)/(-16709)*(-329)/10.
-47/5
What is (-160)/(-135)*365175/(-5410)?
-80
What is (((-4524)/(-5915))/(-87))/(4/14)?
-2/65
Calculate 6536/(-258)*7/14*-3.
38
Calculate (-10)/(-12)*((-1040)/(-425))/(-52)*15.
-10/17
((-6141)/(-267))/((-21)/21)
-23
(252/270)/(-7)*7*36*(-20)/6
112
What is the value of (-375)/125*2220/180?
-37
Calculate 20/(-9*(-300)/(-3240)).
-24
Calculate 171/38*(-95)/30*120/90.
-19
Calculate 297/((-596673)/82)*(-14)/(-24).
-1/42
What is (((-12)/(-10))/((12992/145)/16))/((-46)/(-161))?
3/4
Evaluate 99/(250272/3713)*-8.
-47/4
Calculate (155/248)/(7/(252/30)).
3/4
What is -1*-15*((-4760)/150)/34?
-14
((-30)/(-55))/((-895)/(-1969)*(-32)/(-10))
3/8
What is the value of (-504)/(-32)*-2*-15*(-2)/(-45)?
21
Calculate 36/(-360)*(-14)/(28/4)*145.
29
What is the value of (-75*(-57)/299250)/(1/4)?
2/35
Calculate (-168)/(-945)*-9*(-4)/((-28)/245).
-56
(-108)/(-132)*7920/(-20520)
-6/19
Calculate 731*(-10)/(-10)*(-2208)/18768.
-86
Calculate (-12)/(-19)*(39/(-390)*-6)/((-12)/(-190)).
6
What is ((-36)/(-27)*630/(-112))/((5/4)/1)?
-6
What is 20*((-3094)/455)/17?
-8
(90/8)/(5901/(-7868))*(28/5)/2
-42
What is 5/(-2)*((-47960)/(-10175))/109?
-4/37
Calculate (((-804)/((-24)/(-4)))/6)/(18/918*17).
-67
| {
"pile_set_name": "DM Mathematics"
} |
divided by 2
-3771
-11851 divided by 1693
-7
Calculate 380443 divided by 4.
380443/4
Calculate 3 divided by -6733.
-3/6733
Calculate 45178 divided by 7.
6454
Divide -1247220 by 205.
-6084
Divide -464831 by -12563.
37
What is -402 divided by -243?
134/81
Divide 595960 by -6340.
-94
33 divided by 41
33/41
7 divided by 954
7/954
Calculate 19491 divided by -6497.
-3
Divide 0 by 19111.
0
What is -61047 divided by 153?
-399
276568 divided by -69142
-4
-19 divided by -1418
19/1418
1 divided by -33639
-1/33639
Calculate -1720 divided by 13.
-1720/13
What is 3100 divided by 50?
62
0 divided by 27555
0
78 divided by -185
-78/185
Divide 122961 by -2411.
-51
What is -6258 divided by -7?
894
What is -33440 divided by 8360?
-4
-86135 divided by -12305
7
What is 8 divided by -109798?
-4/54899
Calculate 4 divided by -198514.
-2/99257
Divide 97 by 1127.
97/1127
Divide 9388 by 98.
4694/49
-451490 divided by -90298
5
Calculate 4372 divided by -2.
-2186
90635 divided by 1
90635
Divide -648940 by 4.
-162235
What is 508849 divided by -46259?
-11
Calculate -119 divided by 3.
-119/3
What is -6342 divided by 1132?
-3171/566
Divide 112814 by -2.
-56407
Divide -3044 by -173.
3044/173
-2802291 divided by -147489
19
Calculate -472365 divided by 9.
-52485
What is 197367 divided by -3?
-65789
Divide 2387000 by -341000.
-7
What is -146261 divided by -8?
146261/8
Divide 1223664 by 94128.
13
692062 divided by -7
-98866
Divide 37087 by 6.
37087/6
Divide -68352 by 178.
-384
-9914 divided by 5
-9914/5
Calculate -723135 divided by -5.
144627
What is -2100 divided by -210?
10
1508618 divided by 73
20666
What is 289968 divided by -3?
-96656
What is 6286 divided by 6286?
1
-237397 divided by 1
-237397
Divide -666270 by 6.
-111045
Calculate -46345 divided by -65.
713
Calculate -228983 divided by -5.
228983/5
Calculate 41942 divided by -2.
-20971
Calculate 4 divided by -5267.
-4/5267
Calculate 5382 divided by -414.
-13
-2326585 divided by 5
-465317
Divide 42140 by 2107.
20
-1819677 divided by 606559
-3
Divide -54366 by -123.
442
Divide 1022 by 164.
511/82
Divide 984687 by -984687.
-1
Calculate 525570 divided by 105114.
5
Calculate -1 divided by 106534.
-1/106534
-213 divided by 11250
-71/3750
What is 1096074 divided by -6?
-182679
-315864 divided by 6
-52644
Divide -367257 by 1077.
-341
What is -10498 divided by 1?
-10498
Divide 200166 by 2.
100083
Calculate -96157 divided by 4.
-96157/4
-301653 divided by 121
-2493
Divide 2381 by -238.
-2381/238
-40494 divided by -1191
34
Calculate -4940 divided by -95.
52
Divide -544188 by 136047.
-4
-11437434 divided by -6
1906239
-134705 divided by -26941
5
Calculate 2123392 divided by 8.
265424
0 divided by -318459
0
-1 divided by -6225
1/6225
What is 14 divided by 29853?
14/29853
1940 divided by 304
485/76
What is -56331 divided by -5121?
11
-2 divided by 46306
-1/23153
5 divided by -107266
-5/107266
Calculate 436 divided by 143.
436/143
Calculate 2776 divided by -703.
-2776/703
Calculate -1528 divided by -764.
2
Divide 2447 by -636.
-2447/636
Divide 109 by -114.
-109/114
What is -5 divided by 1812?
-5/1812
What is -403254 divided by -67209?
6
Divide 255132 by 114.
2238
Divide -21912 by -1.
21912
Calculate -112024 divided by 56012.
-2
518040 divided by -12
-43170
What is 43026 divided by 7171?
6
What is 227 divided by 35?
227/35
77680 divided by -14
-38840/7
Divide -100330 by 79.
-1270
Divide -638332 by -4.
159583
5 divided by -35152
-5/35152
Calculate -322 divided by -84.
23/6
Calculate -3 divided by -192043.
3/192043
What is -20069 divided by -2867?
7
-19197 divided by 4
-19197/4
Divide 4 by -452551.
-4/452551
Calculate -115965 divided by -3.
38655
Divide 3 by 416082.
1/138694
Calculate -14256 divided by 396.
-36
What is -595 divided by -684?
595/684
Calculate 99540 divided by 7110.
14
Divide 18571 by 2.
18571/2
What is 2618 divided by -374?
-7
3 divided by -235548
-1/78516
31 divided by -18659
-31/18659
Divide -293772 by 3.
-97924
Divide 20548 by -12.
-5137/3
Divide -2 by 63994.
-1/31997
Calculate 1324280 divided by 2.
662140
Divide -126266 by -7.
18038
-1022 divided by 1039
-1022/1039
What is 14476 divided by -7238?
-2
Divide -1483222 by 26.
-57047
Calculate -48531 divided by -7.
6933
What is 8956744 divided by -4?
-2239186
-382 divided by 852
-191/426
Calculate -58760 divided by -11752.
5
Calculate 164906 divided by -1.
-164906
What is 330548 divided by 330548?
1
Divide 961 by 6.
961/6
Calculate -277515 divided by -3.
92505
Divide 34165 by -3.
-34165/3
-21330 divided by -6
3555
What is -1 divided by 16228?
-1/16228
What is 2667510 divided by 107?
24930
What is -67335 divided by 67?
-1005
Divide -3 by -68433.
1/22811
Calculate 2514568 divided by 4648.
541
Divide -3045 by -29.
105
Calculate 3 divided by 3017.
3/3017
What is -2413 divided by 481?
-2413/481
What is 480 divided by -2020?
-24/101
Divide -419366 by -934.
449
4753392 divided by -6
-792232
51324 divided by 2
25662
Calculate -93132 divided by -15522.
6
What is -259527 divided by 11?
-259527/11
Divide 889404 by 296468.
3
Divide -607075 by -24283.
25
Calculate -56157 divided by 3.
-18719
-4 divided by 322
-2/161
Divide -15095 by -2.
15095/2
What is -61600 divided by -15400?
4
Calculate 19686 divided by 1158.
17
410610 divided by -205305
-2
Calculate -510420 divided by 10860.
-47
Divide 620009 by -13.
-47693
What is -94460 divided by -94460?
1
-192168 divided by 6
-32028
57830 divided by -11566
-5
Divide 137448 by -11454.
-12
2996946 divided by -19
-157734
What is 98984 divided by -24746?
-4
Divide -31 by 4558.
-31/4558
What is -5 divided by 1262?
-5/1262
What is -3029028 divided by -6?
504838
Divide -45 by -6123.
15/2041
-723 divided by -311
723/311
What is -76 divided by 218?
-38/109
What is 18286 divided by 5?
18286/5
Divide 374 by 7739.
374/7739
What is -689 divided by -203?
689/203
Calculate -82839 divided by -3.
27613
What is -4 divided by -9724?
1/2431
Divide 127295 by -18185.
-7
437 divided by -7
-437/7
What is -292776 divided by 6?
-48796
Divide -12638 by -36.
6319/18
2423 divided by 76
2423/76
Calculate 3430980 divided by -3.
-1143660
1202247 divided by 400749
3
What is 5696244 divided by 4?
1424061
7583708 divided by 344714
22
427262 divided by 427262
1
Calculate -21 divided by -26745.
7/8915
Calculate 121 divided by -1358.
-121/1358
Divide 575 by -8.
-575/8
4594 divided by -73
-4594/73
What is 1340335 divided by 67?
20005
Divide 40152 by -168.
-239
What is 65733 divided by -3?
-21911
306210 divided by 61242
5
Calculate -5 divided by 2120546.
-5/2120546
Calculate -1325352 divided by 1127.
-1176
Calculate 56800 divided by 800.
71
Calculate -27569 divided by 1451.
-19
Divide 155 by 10971.
155/10971
Calculate -7 divided by -75999.
1/10857
Calculate -277 divided by 64.
-277/64
Divide -378080 by 1360.
-278
Divide 0 by -145466.
0
What is -18270 divided by -6?
3045
What is -10816 divided by -26?
416
Divide -582288 by 6.
-97048
Divide -317490 by -8.
158745/4
What is -305613 divided by -189?
1617
Divide -33 by -29366.
33/29366
-36 divided by -4488
3/374
What is 74834 divided by 37417?
2
What is 191862 divided by -14?
-95931/7
Divide -85020 by 218.
-390
143062 divided by 307
466
Divide 1939704 by -646568.
-3
What is 2519673 divided by -8427?
-299
What is 82 divided by -376?
-41/188
What is -82384 divided by -3?
82384/3
Calculate -1924 divided by 481.
-4
2030548 divided by 2
1015274
Divide 9755 by -1.
-9755
Divide 17766564 by 4.
4441641
Divide 4481550 by 3.
1493850
Divide 1406758 by 1.
1406758
What is 1840 divided by 460?
4
31 divided by 46
31/46
What is -49153 divided by 3781?
-13
-69 divided by -8594
69/8594
15 divided by -14665
-3/2933
Calculate -4 divided by 47195.
-4/47195
Calculate 18197 divided by -26.
-18197/26
What is -246085 divided by 7?
-35155
What is 525116 divided by 4?
131279
Divide -11 by 3124.
-1/284
-1931502 divided by 38
-50829
What is -1976041 divided by 2?
-1976041/2
Divide 22 by 924.
1/42
Calculate 4 divided by 347255.
4/347255
What is 67770 divided by -13554?
-5
What is -293403 divided by -8891?
33
67475 divided by -13495
-5
What is 29636 divided by -14818?
-2
Calculate 125020 divided by -14.
-8930
148545 divided by -45
-3301
What is 73284 divided by 186?
394
What is -668580 divided by -220?
3039
Calculate 925 divided by -185.
-5
Calculate -836355 divided by - | {
"pile_set_name": "DM Mathematics"
} |
+ k*o**2. Let c(y) = 6*y. Determine c(d(n)).
-6*n**2
Let f(l) = l**2. Let t(q) = 4766*q**2 - 1927*q - 1. What is t(f(o))?
4766*o**4 - 1927*o**2 - 1
Let a(r) = r - 2. Let k(f) = 2*f**2 - 3*f + 6. Let m be (910/20)/(-13) + (-2)/(-4). Let u(t) = m*a(t) - k(t). Let s(c) = 7*c. Give s(u(x)).
-14*x**2
Let y(f) = -10*f**2. Let p(x) = 23 + 21*x - 30*x**2 - 10 + 8. Let w = 790 - 769. Let l(n) = -6*n**2 + 4*n + 4. Let j(u) = w*l(u) - 4*p(u). Give j(y(q)).
-600*q**4
Let g(o) be the first derivative of o**6/40 - 80*o**3 - 213. Let p(k) be the third derivative of g(k). Let s(f) = 5*f. What is s(p(z))?
45*z**2
Let o(t) = t**2 + 26*t + 30. Let s be o(-27). Let x(y) = -15*y + 157*y - 4*y + s*y. Let m(n) = -n**2. Determine x(m(z)).
-195*z**2
Let b(n) = 6*n**2. Let f = -15 + 17. Suppose -3*g + f = -4. Let p(j) = 0*j**2 - 5 + 5 + j**g. Give p(b(k)).
36*k**4
Let n(p) = -p. Let y(i) = -8827*i**2 - 1264*i. What is n(y(h))?
8827*h**2 + 1264*h
Let t(u) = 23546*u. Let r(x) be the first derivative of x**2 - 10581. Calculate r(t(y)).
47092*y
Let i(b) = 144165330*b. Let w(f) = 3*f**2. Determine i(w(h)).
432495990*h**2
Let g(v) = -2*v**2. Let d(s) = 46 - 24 + 638*s**2 - 22 + 398*s**2. Give g(d(k)).
-2146592*k**4
Let y(s) = -2*s. Let r(d) = 10054*d - 27. Let v(o) = -2510*o + 6. Let g(x) = 2*r(x) + 9*v(x). What is y(g(l))?
4964*l
Let x(n) be the first derivative of 4*n**3/3 + 196*n + 1111. Let v(u) = -u. What is v(x(c))?
-4*c**2 - 196
Let q(l) = 1928147*l. Let d(x) = 15*x**2. Calculate d(q(z)).
55766262804135*z**2
Let q(g) = 32*g - 1. Let k(a) be the second derivative of -a**6/360 - 8*a**3 + 24*a. Let o(s) be the second derivative of k(s). Give o(q(w)).
-1024*w**2 + 64*w - 1
Let w(n) = -3*n + 0*n - 2*n. Let c(z) = z + 40. Calculate c(w(f)).
-5*f + 40
Let p(h) = -7 - 53 + 60 + 16*h. Let k(u) = 52*u**2. What is k(p(v))?
13312*v**2
Let r(t) = -t + 7. Let y be r(-13). Let v be ((-128)/y)/(-2*2/40). Let g(l) = 2*l - 2 - 81*l**2 + v*l**2 - 2*l. Let s(x) = -x**2. Determine g(s(f)).
-17*f**4 - 2
Let r(b) be the second derivative of -31/2*b**2 + 0 - 1/6*b**4 + 24*b + 0*b**3. Let y(v) be the first derivative of r(v). Let q(w) = 4*w**2. What is q(y(g))?
64*g**2
Let j(k) = -326*k - 396835. Let r(q) = -2*q. What is r(j(f))?
652*f + 793670
Let j(l) be the first derivative of 611*l**2/2 + 3506. Let y(p) = 4*p. Determine j(y(s)).
2444*s
Let t(s) = -10*s. Let q(k) = 3*k + 123543. Calculate t(q(n)).
-30*n - 1235430
Let n be (-1)/3 + 30/9. Let r(y) = -n*y + 6*y - 10*y - 10*y. Let z(k) be the third derivative of -k**4/12 + 3*k**2. Give z(r(t)).
34*t
Let z(n) be the third derivative of n**4/8 - 16*n**2 - 2*n. Suppose -4*c + 2*c = -6. Let v(y) = 0*y**2 + c*y**2 + 9*y**2. Determine v(z(h)).
108*h**2
Let k(l) = 97*l. Let h(u) = -1068574*u. Calculate k(h(w)).
-103651678*w
Let s(f) = -41*f + 1. Let w(o) = -3198*o. What is s(w(m))?
131118*m + 1
Let l(j) = 5*j. Let t(k) = 3262092*k. Calculate t(l(x)).
16310460*x
Let q(b) = 44*b + 3*b**2 - 22*b - 22*b. Let k(j) = 99*j. Let p(s) = 840*s. Let z(x) = 42*k(x) - 5*p(x). Determine q(z(u)).
5292*u**2
Let w(k) = -2*k. Let u(f) = -37*f - 3. Let i(d) = 38*d - 13 + 3*d + 7 + 10 - 6*d. Let y(s) = -3*i(s) - 4*u(s). What is w(y(b))?
-86*b
Let p(u) = 21*u**2 + 2*u. Let k(j) = 42*j**2 + 5*j. Let t(l) = 2*k(l) - 5*p(l). Let x = -16 - -17. Let y(g) = -1 + 773*g + x - 771*g. Give y(t(b)).
-42*b**2
Let r(o) = o. Let x(p) be the second derivative of 2703*p**4/4 - 4592*p. Give r(x(h)).
8109*h**2
Let c(u) = -18*u**2. Let f(r) = -383*r + 32*r + 1812751 - 1812751. Give f(c(h)).
6318*h**2
Let u(o) = 2 + 0 + 2 - 24*o + 26*o - 2. Let h(n) = 8*n**2. Give u(h(c)).
16*c**2 + 2
Let l(q) = 9*q**2 + 3. Let s(j) = -273291*j**2. Determine l(s(x)).
672191736129*x**4 + 3
Let o = -32 + 1324. Let c(a) = -640*a - 649*a + o*a. Let b(x) = -2*x + 4. Let q(z) = 5*z - 11. Let y(w) = -11*b(w) - 4*q(w). Determine y(c(i)).
6*i
Let k(r) = 2*r. Suppose -4*h = -2*z - 8 - 2, 4*z - 4*h = -4. Let c(g) = z*g + 2383 + 21*g**2 - 2383. Calculate k(c(q)).
42*q**2 + 6*q
Let h(n) be the second derivative of 3*n**4/4 + 1217*n. Let b(s) = -19*s - 3. Give h(b(m)).
3249*m**2 + 1026*m + 81
Let n(j) = 98024148*j. Let t(k) = k**2. Determine t(n(v)).
9608733591125904*v**2
Let q(y) = 49815*y + 49833*y - 99635*y. Suppose 5*c = -j + 3, 2*c + 0*c = 2*j + 6. Let g(s) = -1 + c - 5*s. Determine q(g(x)).
-65*x
Let l(p) = 16*p - 6. Let q(f) = 4*f - 72. Let a(z) = -z + 16. Let w = 309 - 318. Let m(o) = w*a(o) - 2*q(o). Calculate m(l(h)).
16*h - 6
Let s(z) = -2*z**2. Let j be 10/(-40) + (-230)/8. Let m = -18 - j. Let c(x) = -31*x + 4 - m*x - 4. Give c(s(g)).
84*g**2
Let a(o) = -4*o + 12. Let l be -4 - -2 - (-8 - -3). Let i(w) = -l*w + 147 - 147 + 4*w. Determine i(a(h)).
-4*h + 12
Let m(q) = 15*q - 4*q - 2152 + 2152 - 9*q. Let r(b) be the first derivative of -202*b**3/3 + b**2 + 2. Give r(m(o)).
-808*o**2 + 4*o
Suppose -2*t = 2*t + 24. Let r = t - -5. Let a(q) = -9*q**2 - 15*q. Let z(x) = -x**2 - x. Let i(h) = r*a(h) + 15*z(h). Let o(d) = -3*d**2. Give i(o(l)).
-54*l**4
Let r = 9329/2 - 4664. Let b(f) be the first derivative of 0*f - 13 + r*f**2. Let l(j) = -22*j**2. Determine b(l(c)).
-22*c**2
Let q(i) be the second derivative of 5*i**4/3 + 3*i - 12. Let v(s) be the first derivative of -s**3/3 + 15. What is v(q(h))?
-400*h**4
Let l(c) = -1721*c + 78. Let j(w) = -495*w. Calculate l(j(s)).
851895*s + 78
Let h(q) = -4*q**2. Let t(s) = -56393*s + 672. Calculate t(h(w)).
225572*w**2 + 672
Let p(d) = 33 - 41*d**2 + 6 + 1 - 40. Let c(r) = 15*r. What is p(c(n))?
-9225*n**2
Let n(d) = -d**2. Let m(c) = -29*c**2. Let i(w) = -m(w) + 5*n(w). Let y(x) = -10152386*x**2 + 3*x + 10152379*x**2 - 3*x. Calculate y(i(q)).
-4032*q**4
Let c(n) = 84996*n. Let u(t) = 1347*t**2. Give c(u(j)).
114489612*j**2
Let m(p) = -348*p**2 - 11*p**2 - 510*p**2 + 123*p**2. Let v(u) = -158*u**2 + 402*u**2 - 246*u**2. Determine v(m(f)).
-1113032*f**4
Let x(o) be the first derivative of 5/2*o**2 + 0*o - 317. Let d(y) = -y - 1. Let p(t) = -4*t**2 - 12*t - 12. Let a(s) = -12*d(s) + p(s). What is a(x(l))?
-100*l**2
Let m(z) = 2*z. Let a(b) = -846545 + 846545 - 48*b**2. Determine m(a(d)).
-96*d**2
Let n(s) = -569*s**2. Let q(v) be the third derivative of -5*v**4/24 - 4*v**2 + 870. Calculate q(n(x)).
2845*x**2
Let h(m) = -m**2 - 39*m + 3. Let l(s) = -2*s**2 - 91*s + 7. Let g(c) = -7*h(c) + 3*l(c). Let t(f) = -36*f**2 - 2*f + 4. Determine t(g(k)).
-36*k**4 - 2*k**2 + 4
Let v(j) = -6*j + 1269. Let z(a) = -a + 47. Let i(y) = -5*v(y) + 135*z(y). Let r(l) = -4*l**2. Give i(r(m)).
420*m**2
Let p(g) = 3*g**2 + 2*g - 996. Let n(j) be the first derivative of -j**2/2 - 4952. Calculate p(n(d)).
3*d**2 - 2*d - 996
Let g(h) = -39351*h**2 + 102*h. Let q(s) = -12*s. Determine g(q(o)).
-5666544*o**2 - 1224*o
Let h(c) = 2*c**2. Let d be (-410)/(-14) - (-14)/(-49). Suppose -8*j = -d - 11. Let z(a) = -20*a + 20*a - j*a**2. What is z(h(k))?
-20*k**4
Let x(l) = 2*l**2. Let g(n) = 12085097*n**2. Determine x(g(p)).
292099138998818*p**4
Let a(n) be the second derivative of 23*n - 1/12*n**4 + 0*n**3 + 0*n**2 - 4. Let s(p) = -18*p + 2. Calculate a(s(k)).
-324*k**2 + 72*k - 4
Let w(h) = -15*h**2 - 3*h. Let t(n) be the first derivative of -22*n**2 + 645. Give t(w(j)).
660*j**2 + 132*j
Let u(z) = 9*z**2 + 13*z + 15. Let b(q) be the first derivative of -5*q**3/3 - 7*q**2/2 - 9*q + 203. Let r(k) = -5*b(k) - 3*u(k). Let i(m) = m. Give r(i(t)).
-2*t**2 - 4*t
Let r(l) = 2539*l**2 - 3*l - 259. Let i(d) = -17*d**2. Calculate r(i(f)).
733771*f**4 + 51*f**2 - 259
Let g(c) = -2*c**2. Let r(i) = i**3 - 8*i**2 + 2*i - 10. Let h be 8/(-5)*(-12 - -7). Let y be r(h). Let x(u) = y*u + u - 2*u. Give g(x(p)).
-50*p**2
Let h(n) = -40*n + 2. Let g(p) = 22*p - 1. Let z(r) = 9*g(r) + 5*h(r). Let i(u) = 2*u**2 + 3*u**2 - 9*u**2. What is z(i(w))?
8*w**2 + 1
Let f(q) = 0*q - 2*q + 3*q. Let h(k) be the second derivative of 0*k**2 - 4/3*k**3 + 0 - 468*k. Determine f(h(o)).
-8*o
Let i(y) = -114*y + 465*y - 119*y + 20 - 115*y - 113*y. Let a(t) = -23*t**2. Determine a(i(p)).
-368*p**2 - 3680*p - 9200
Let b(r) = 175996*r + 782. Let i(v) = -225*v - 1. Let o(w) = -2*b(w) - 1564*i(w). Let a(d) be the first derivative of 5*d**2/2 - 2. What is o(a(c))?
-460*c
Let f(y) = 5*y - y - 3 + 2. Let p(a) be the third derivative of a**6/360 - a* | {
"pile_set_name": "DM Mathematics"
} |
rs of m.
2, 11
Suppose 18 = -4*x + 7*x. What are the prime factors of x?
2, 3
Suppose 4*a - 3 = 5. List the prime factors of a.
2
Let r(c) = -3*c**3 - 10*c**2 - 5*c + 5. Let u(f) = -4*f**3 - 10*f**2 - 4*f + 6. Let v(o) = -3*r(o) + 2*u(o). List the prime factors of v(-9).
3, 5
What are the prime factors of (147/2)/(15/30)?
3, 7
Suppose 3*d + 2*d = -15. Let a(s) = -s**2 - 3*s + 3. Let x be a(d). Suppose 0*g - x*g + 39 = 0. What are the prime factors of g?
13
What are the prime factors of 5898/216*4 + 2/(-9)?
109
Let y(m) = 2 - m + 4*m + 0 + 0*m. Suppose -3*c = -6 - 0. List the prime factors of y(c).
2
Suppose 168*y - 164*y - 872 = 0. What are the prime factors of y?
2, 109
Suppose 0 = -5*d + 6 + 4, -3*w + d + 382 = 0. List the prime factors of w.
2
Let o = 77 + 17. List the prime factors of o.
2, 47
Let f = -566 - -885. List the prime factors of f.
11, 29
Suppose 2 = -5*f - 3, -5*y + f - 54 = 0. Suppose b = 19 - 0. Let m = b + y. List the prime factors of m.
2
List the prime factors of (-3)/(12/4) + 8.
7
Let y(x) = x**2 - 7*x + 7. List the prime factors of y(12).
67
What are the prime factors of 1/(((-2)/474)/(6/(-9)))?
2, 79
Suppose -3*d - j - 37 = -11, -j = 5*d + 40. Let t(z) = -z**2 - 8*z + 2. What are the prime factors of t(d)?
3
Let w(d) = 4 + d + 1 - 2*d. Let t be w(9). Let o = t - -8. List the prime factors of o.
2
Let h(p) = -p + 1. Let t = -6 + 5. What are the prime factors of h(t)?
2
Let t = -1 + 2. Let y = -1 + t. Suppose -4*s - 33 = -3*h, -4*h - 2*s - 3*s + 13 = y. What are the prime factors of h?
7
Let p be (-2)/(-4) + (-40)/(-16). Let o be (-1)/(p/9) - -21. What are the prime factors of (o/27)/((-2)/(-18))?
2, 3
Let l = 13 + -7. Suppose 34 = 2*y + l. What are the prime factors of y?
2, 7
Let k = 34 - 18. Suppose -8 = -p - 4*j, -2*p + 3*j = -0*j - k. List the prime factors of p.
2
Suppose -4*a + 22 = 4*o - 22, -3*a - 5*o = -37. Let n = 23 - a. List the prime factors of n.
2, 7
Suppose 2*h = -3*o + 161 - 40, 0 = -3*o - 15. What are the prime factors of h?
2, 17
Suppose 3*a - 8 - 4 = 0. List the prime factors of (-102)/a*4/(-6).
17
Let t(u) = u**2 - 11. Let q be t(-9). Suppose 0 = 5*r - 5, r = -5*f + q - 14. Suppose -4*d + 5*z = -23, 2*d - 1 = 2*z + f. What are the prime factors of d?
7
Let c = -7 - -5. Let q(h) = 2*h - 7. Let s be q(5). What are the prime factors of (s/(-6))/(c/20)?
5
Suppose 9 = -4*n + j, -5*n + 5 = -10*n - 5*j. Let c be (-2)/4 + (-7)/n. Suppose -2*z - 2*x + 10 = c*z, -4*x - 28 = -2*z. What are the prime factors of z?
2
Let t(r) = r**3 + 5*r**2 + 4*r - 3. Let o be 18/(-4) - (-2)/4. Let y be t(o). Let c(u) = -2*u. List the prime factors of c(y).
2, 3
Suppose -20 = 5*f, 2*j - f + 31 = 7*j. What are the prime factors of j?
7
Suppose -6*r = -2*r - 16. Suppose -15 = -h - r*h. Suppose -4*y = 0, -y - 30 = -5*n - h*y. List the prime factors of n.
2, 3
Suppose k + 13 = 5*z, 3*z + 0*k - 5*k = -1. Suppose z*d + 0 - 48 = 0. Suppose j - 3*j = -d. List the prime factors of j.
2
Let t be -3 + (-3)/6*-10. Suppose 4*h + 2*n = 8, 3*h - t*n + 2 = 15. List the prime factors of h.
3
Suppose 27 + 8 = 5*v. Let k(o) = o**2 - 5*o - 4. List the prime factors of k(v).
2, 5
Suppose 2 = -r, 141 + 36 = 5*d + 4*r. Suppose 3*f + d = 3*k - k, -2*k - f = -25. What are the prime factors of k?
2, 7
Let j(q) = 1 - 1 - 2*q - 1 + 2*q**2 + 2. List the prime factors of j(3).
13
Let n = 11 + -3. Let x = n + -2. List the prime factors of -1 + (-8)/(-6)*x.
7
Let z(g) = -2*g + 5. Let s be z(4). Let a be s/5 - 66/(-10). Suppose -100 = -a*d + d. List the prime factors of d.
2, 5
Suppose 7*y - 3*s - 738 = 4*y, 2*s + 1242 = 5*y. What are the prime factors of y?
2, 5
Let l be (-2 - -1)*(-48)/3. Suppose -2*f - 5 = 3*f + 3*h, 2*h = 3*f - l. Suppose f = b - 5. List the prime factors of b.
7
What are the prime factors of 1*33 + (-16)/4?
29
Let q = -55 - -132. What are the prime factors of q?
7, 11
Let z(s) = -s**3 - 5*s**2 + 4*s - 8. Let w be z(-6). What are the prime factors of (-7)/28 + 157/w?
3, 13
Let w(s) = -2*s + 31. List the prime factors of w(-15).
61
Let u(y) = -y**3 - 8*y**2 - 3*y - 8. Let k be u(-7). Let o = 13 + 38. Let a = k + o. What are the prime factors of a?
3, 5
Suppose -5*h + 5*m - 15 = 0, 4*h - 13 = m - 2*m. Suppose 0 = -h*l + 3*l + 1. List the prime factors of 8 - (l + 2) - -1.
2
Let j = 15 - -31. List the prime factors of j.
2, 23
Suppose 3*f + 191 = 4*i, 3*i + 2*f - 135 = 7*f. List the prime factors of i.
2, 5
Let z = 79 - 31. List the prime factors of z.
2, 3
Suppose -i - 2*i + 9 = 0, 0 = 3*j + 4*i - 141. List the prime factors of j.
43
Let z = 35 - 16. List the prime factors of z.
19
What are the prime factors of (17 + -2)/(3/9)?
3, 5
Suppose 3*i - 5*i = 2. Let y be 14 - (1 + -1)*i. Let k = y + -3. What are the prime factors of k?
11
Suppose -466 = -4*y - 5*q, -3*y = -3*q + 5*q - 346. Suppose 4*d + y = 5*a + 9, 3*d - 3*a + 78 = 0. Let b = -14 - d. What are the prime factors of b?
11
Suppose -6*l = -54 - 78. What are the prime factors of l?
2, 11
Let x be -2*(2 + -4) - 1. Suppose -x*g + 96 = -0*g. What are the prime factors of g?
2
Let x = -49 + 72. Suppose -2*k = -3*k + x. What are the prime factors of k?
23
Let g(t) = -t**3 + 12*t**2 + 4*t + 23. What are the prime factors of g(11)?
2, 47
What are the prime factors of ((-13)/(-26))/((-1)/(-74) + 0)?
37
Suppose -2*p = -0*p - 5*c - 121, -5*p + 274 = -3*c. Suppose 5*z - 72 = p. Suppose -3*t = -8*t + z. List the prime factors of t.
5
Suppose 5*p - 3*p = 14. Let w = 18 - p. What are the prime factors of w?
11
Let w(a) = -a**3 + 14*a**2 + 7*a + 30. What are the prime factors of w(14)?
2
Let u(s) = -28*s**3 - 6*s**2 - s + 2. List the prime factors of u(-2).
2, 3, 17
Suppose 0 = 4*w - 0*w - 404. Suppose 2*c = -3*c + 2*l + w, -c = 3*l - 27. List the prime factors of c.
3, 7
Suppose 0 = -0*g - 5*g + 15. Let x(b) = 1 - 2*b**2 - 3*b - 8 + g*b**2. List the prime factors of x(6).
11
Let u(o) = o**2 - 6*o + 5. List the prime factors of u(9).
2
Let q(i) = -i**3 + 10*i**2 - 7*i - 9. Suppose 30 = 4*s - 6. What are the prime factors of q(s)?
3
Let v be 0 + (-2 - (-12)/3). Let o(n) = -2*n**2 - n + 7*n + n**v - 3 + 6. List the prime factors of o(6).
3
Let z(y) be the third derivative of -y**5/60 - 3*y**4/8 - 3*y**3/2 - 3*y**2. Let h be z(-6). List the prime factors of (-6)/h*15/(-2).
5
Suppose -8 = 2*y - 0. Let a(o) = -6*o - 9. What are the prime factors of a(y)?
3, 5
Let k = 12 - 7. Let f(h) = -2*h**2 + 6*h - 7. Let m be f(k). What are the prime factors of m/(-6)*2/3?
3
Let i(b) = -1. Let g(r) = r - 9. Let u(m) = g(m) - 6*i(m). List the prime factors of u(6).
3
Let q(r) = 8*r**2 - 1. Let g be q(-1). Let h(p) = p**3 - 7*p**2 + 1. Let t be h(g). Suppose n = t + 5. List the prime factors of n.
2, 3
Let l(d) = d**3 + 4*d**2 + 3*d + 2. Let b be l(-2). Suppose b*g - 5*a + 4 = 82, 0 = 4*g + 5*a - 58. List the prime factors of g.
17
Suppose 0 = 4*m - 16 + 4. What are the prime factors of (m - (-3)/(-2))*16?
2, 3
Suppose -2*v + 20 = -24. Suppose 0 = 3*z - 4*a + 3*a - v, 0 = -2*z - 2*a + 28. What are the prime factors of z?
3
Let m(d) = -d**2 + 2*d + 72. List the prime factors of m(0).
2, 3
What are the prime factors of (-231)/7*(-4)/6?
2, 11
Suppose -5*a + 3*a + 8 = 0. Suppose -2*t = 3*g - 36, -a*g + 29 + 19 = -4*t. List the prime factors of g.
2, 3
Suppose -2 - 4 = -2*b. Let s(x) = -x**3 + 7*x**2 + x + 8. Let y(k) = k**3 - 6*k**2 - k - 7. Let w(a) = -3*s(a) - 4*y(a). What are the prime factors of w(b)?
7
Let a = 411 + -252. What are the prime factors of a?
3, 53
Let p(a) = -a**3 - 7*a**2 + 7*a + 8. Let w be (8/(-5))/((-2)/(-10)). Let h be p(w). Let k = h - 11. List the prime factors of k.
5
Let i(y) = -y**3 - 6*y**2 - 6*y + 3. Let u be i(-5). List the prime factors of (12/(-21))/(u/(-28)).
2
Let s = 442 - 315. List the prime factors of s.
127
Let p be 22/(-5) - 3/5. Let j = 11 + p. List the prime factors of j.
2, 3
Suppose 2*l - 4*k + k - 4 = 0, 5*k = 10. Suppose -l*t - 30 = -0*t. List the prime factors of ((-20)/t)/(2/6).
2, 5
Let v be (38/2)/((-2)/(-4)). Let p be 0/2 + -25 + -1. Let f = p + v. List the prime factors of f.
2, 3
Let p(a) = -3*a - 1. Suppose 3*n + 1 = 4. Let v be p(n). List the prime factors of v/3*(-27)/6.
2, 3
Let a = 29 - 17. Suppose 0 = -2*t + a - 4. List the prime factors of t.
2
Let u(z) = 4*z + | {
"pile_set_name": "DM Mathematics"
} |
945620?
-s**2 - 57*s - 945242
What is the a'th term of -5525, -22329, -50407, -89765, -140409, -202345, -275579, -360117?
-a**3 - 5631*a**2 + 96*a + 11
What is the r'th term of 5149980, 10299948, 15449904, 20599842, 25749756?
-r**3 + 5149975*r + 6
What is the n'th term of 1490, 5499, 9508, 13517, 17526?
4009*n - 2519
What is the h'th term of -113719, -113622, -113531, -113452, -113391, -113354, -113347, -113376?
-h**3 + 3*h**2 + 95*h - 113816
What is the j'th term of 2252, 2614, 2886, 3068, 3160, 3162, 3074?
-45*j**2 + 497*j + 1800
What is the w'th term of -856844, -856657, -856146, -855149, -853504, -851049?
27*w**3 - 2*w - 856869
What is the b'th term of 1176, 4882, 11084, 19782, 30976, 44666?
1248*b**2 - 38*b - 34
What is the g'th term of 3724, 2755, 1788, 823, -140?
g**2 - 972*g + 4695
What is the x'th term of -12787, -13053, -13319?
-266*x - 12521
What is the r'th term of 1739461, 1739464, 1739467, 1739470, 1739473, 1739476?
3*r + 1739458
What is the i'th term of 25200, 28293, 33448, 40665, 49944?
1031*i**2 + 24169
What is the r'th term of -31399, -62820, -94275, -125764, -157287, -188844?
-17*r**2 - 31370*r - 12
What is the y'th term of 934387730, 934387729, 934387726, 934387721, 934387714, 934387705?
-y**2 + 2*y + 934387729
What is the k'th term of 3084, 12486, 28166, 50118, 78336, 112814?
-k**3 + 3145*k**2 - 26*k - 34
What is the f'th term of 21657, 43249, 64843, 86439?
f**2 + 21589*f + 67
What is the s'th term of 30784514, 30784513, 30784512, 30784511, 30784510?
-s + 30784515
What is the x'th term of -8815, -6479, 7005, 31637, 67417, 114345, 172421?
5574*x**2 - 14386*x - 3
What is the f'th term of 365142, 364299, 362894, 360927, 358398, 355307?
-281*f**2 + 365423
What is the g'th term of 13140, 12835, 12332, 11637, 10756, 9695?
g**3 - 105*g**2 + 3*g + 13241
What is the k'th term of -473, -2929, -8929, -20033, -37801?
-260*k**3 - 212*k**2 - 1
What is the y'th term of -2545637, -2545630, -2545623?
7*y - 2545644
What is the v'th term of 5094979, 5095000, 5095035, 5095084, 5095147, 5095224, 5095315?
7*v**2 + 5094972
What is the i'th term of 13783, 13322, 12545, 11446, 10019, 8258, 6157, 3710?
-i**3 - 152*i**2 + 2*i + 13934
What is the j'th term of 272690, 545691, 819000, 1092617, 1366542?
154*j**2 + 272539*j - 3
What is the z'th term of -12572743, -25145487, -37718231, -50290975, -62863719?
-12572744*z + 1
What is the o'th term of 105605, 105053, 104501, 103949, 103397, 102845?
-552*o + 106157
What is the t'th term of -622967, -1245978, -1868989, -2492000?
-623011*t + 44
What is the l'th term of 7078, 6724, 5762, 3886, 790, -3832?
-51*l**3 + 2*l**2 - 3*l + 7130
What is the n'th term of -701, -3729, -11379, -25961, -49785?
-385*n**3 - n**2 - 330*n + 15
What is the w'th term of -12297, -15229, -8797, 6999?
4682*w**2 - 16978*w - 1
What is the x'th term of -3029, -7404, -19279, -42404, -80529?
-625*x**3 - 2404
What is the q'th term of -7381, -7595, -7965, -8569, -9485, -10791?
-13*q**3 - 123*q - 7245
What is the s'th term of -292156, -583989, -875822?
-291833*s - 323
What is the y'th term of -1036353, -1036366, -1036377, -1036386, -1036393?
y**2 - 16*y - 1036338
What is the j'th term of -7614, -64233, -217910, -517173, -1010550, -1746569?
-8088*j**3 - j**2 + 475
What is the s'th term of 4187, 16980, 38367, 68348, 106923?
4297*s**2 - 98*s - 12
What is the g'th term of 25260521, 25260526, 25260531?
5*g + 25260516
What is the o'th term of 47413628, 47413649, 47413670, 47413691, 47413712, 47413733?
21*o + 47413607
What is the k'th term of 3114, 3156, 3206, 3246, 3258, 3224?
-3*k**3 + 22*k**2 - 3*k + 3098
What is the m'th term of 1412, 11305, 38148, 90407, 176548, 305037?
1411*m**3 + 9*m**2 - 11*m + 3
What is the c'th term of 698048, 698033, 698006, 697967, 697916, 697853, 697778?
-6*c**2 + 3*c + 698051
What is the i'th term of 664723, 664720, 664715, 664708, 664699, 664688?
-i**2 + 664724
What is the r'th term of 14647, 14483, 14313, 14137, 13955, 13767, 13573?
-3*r**2 - 155*r + 14805
What is the v'th term of -6133, -5188, -3619, -1426?
312*v**2 + 9*v - 6454
What is the h'th term of -1083698241, -1083698242, -1083698243?
-h - 1083698240
What is the d'th term of -25774, -25178, -24582, -23986?
596*d - 26370
What is the o'th term of -1979, -7936, -17849, -31718?
-1978*o**2 - 23*o + 22
What is the b'th term of 252, 131, -246, -885, -1792, -2973, -4434?
-b**3 - 122*b**2 + 252*b + 123
What is the f'th term of 11693709, 11693689, 11693667, 11693643, 11693617, 11693589, 11693559?
-f**2 - 17*f + 11693727
What is the s'th term of -16879, -16751, -16529, -16207, -15779, -15239, -14581, -13799?
s**3 + 41*s**2 - 2*s - 16919
What is the k'th term of -96128, -192205, -288282, -384359?
-96077*k - 51
What is the c'th term of -66, -292, -562, -882, -1258, -1696?
-c**3 - 16*c**2 - 171*c + 122
What is the i'th term of 9809, 19494, 29045, 38444, 47673, 56714, 65549, 74160?
-3*i**3 - 49*i**2 + 9853*i + 8
What is the w'th term of 101032, 404121, 909262, 1616449, 2525676, 3636937?
-w**3 + 101032*w**2 + 1
What is the p'th term of -31683, -32284, -33293, -34716, -36559, -38828?
-p**3 - 198*p**2 - 31484
What is the l'th term of 116435, 116423, 116391, 116339, 116267, 116175?
-10*l**2 + 18*l + 116427
What is the d'th term of -863, -76, 711?
787*d - 1650
What is the n'th term of 82407, 329658, 741741, 1318656, 2060403, 2966982?
82416*n**2 + 3*n - 12
What is the y'th term of 74917, 149848, 224791, 299740, 374689, 449632, 524563?
-y**3 + 12*y**2 + 74902*y + 4
What is the p'th term of 30859441, 30859435, 30859429, 30859423, 30859417, 30859411?
-6*p + 30859447
What is the p'th term of 2727, 1811, 895, -21?
-916*p + 3643
What is the y'th term of 479, 677, 891, 1121, 1367?
8*y**2 + 174*y + 297
What is the w'th term of 616, 2483, 5614, 10045, 15812, 22951, 31498, 41489?
6*w**3 + 596*w**2 + 37*w - 23
What is the a'th term of 12634, 8845, 5056?
-3789*a + 16423
What is the u'th term of 118303, 473121, 1064485, 1892395, 2956851?
118273*u**2 - u + 31
What is the q'th term of 2641, 4135, 4485, 3697, 1777, -1269?
q**3 - 578*q**2 + 3221*q - 3
What is the m'th term of -974, -1960, -2996, -4106, -5314, -6644, -8120, -9766?
-4*m**3 - m**2 - 955*m - 14
What is the g'th term of 4729, 19170, 43313, 77158, 120705?
4851*g**2 - 112*g - 10
What is the c'th term of -2628, -19832, -66398, -156966, -306176, -528668, -839082, -1252058?
-2440*c**3 - 41*c**2 - c - 146
What is the d'th term of -40454, -40350, -40246?
104*d - 40558
What is the t'th term of 20936029, 41872063, 62808097?
20936034*t - 5
What is the r'th term of -93217, -94275, -95333?
-1058*r - 92159
What is the q'th term of -1000, 6, 1726, 4196, 7452?
6*q**3 + 321*q**2 + q - 1328
What is the o'th term of 69856, 279410, 628662, 1117612, 1746260?
69849*o**2 + 7*o
What is the w'th term of -132057, -528291, -1188683, -2113233?
-132079*w**2 + 3*w + 19
What is the l'th term of 26989390, 53978779, 80968164, 107957545, 134946922, 161936295, 188925664?
-2*l**2 + 26989395*l - 3
What is the w'th term of -7117, -65036, -224511, -536320, -1051241?
-8463*w**3 + 1322*w + 24
What is the l'th term of 82870123, 165740250, 248610377, 331480504?
82870127*l - 4
What is the q'th term of -4143474, -4143577, -4143748, -4143987, -4144294?
-34*q**2 - q - 4143439
What is the n'th term of -658, 2708, 8322, 16184, 26294, 38652, 53258?
1124*n**2 - 6*n - 1776
What is the o'th term of 2552, 10253, 23134, 41231, 64580, 93217?
6*o**3 + 2554*o**2 - 3*o - 5
What is the u'th term of 212075, 212097, 212119, 212141, 212163?
22*u + 212053
What is the x'th term of 47243, 94111, 140607, 186731?
-186*x**2 + 47426*x + 3
What is the p'th term of 856071, 856090, 856129, 856194, 856291, 856426, 856605?
p**3 + 4*p**2 + 856066
What is the w'th term of -9737306, -9737264, -9737164, -9736976, -9736670, -9736216, -9735584, -9734744?
5*w**3 - w**2 + 10*w - 9737320
What is the d'th term of 1026776, 2053549, 3080322, 4107095, 5133868, 6160641?
1026773*d + 3
What is the a'th term of 2396, 2556, 2682, 2774, 2832, 2856, 2846?
-17*a**2 + 211*a + 2202
What is the x'th term of -71130, -142181, -213232?
-71051*x - 79
What is the r'th term of -112974, -223018, -333062, -443106, -553150, -663194?
-110044*r - 2930
What is the f'th term of -397, -3348, -8853, -16912, -27525?
-1277*f**2 + 880*f
What is | {
"pile_set_name": "DM Mathematics"
} |
of sequence cobb.
1/840
Two letters picked without replacement from vpraarvttrtsrrt. Give prob of sequence rv.
1/21
What is prob of sequence xnx when three letters picked without replacement from {n: 4, l: 4, x: 2, j: 3, v: 1}?
1/273
Two letters picked without replacement from {d: 1, a: 1, q: 3, k: 2, t: 1, w: 3}. Give prob of sequence kq.
3/55
Two letters picked without replacement from {v: 2, d: 15, s: 3}. Give prob of sequence dv.
3/38
Two letters picked without replacement from hvvvdwwdvhdhvdd. What is prob of sequence hd?
1/14
What is prob of sequence ntc when three letters picked without replacement from ntc?
1/6
Four letters picked without replacement from {m: 2, g: 1, l: 2, t: 1, s: 1, o: 1}. Give prob of sequence lgsl.
1/840
Four letters picked without replacement from {v: 1, i: 3, a: 4, k: 5, y: 5}. What is prob of sequence kaik?
1/306
Three letters picked without replacement from didilddhdeil. Give prob of sequence dih.
1/88
Three letters picked without replacement from {c: 4, e: 4, l: 4, i: 1, b: 3, k: 4}. Give prob of sequence lec.
8/855
Calculate prob of sequence smis when four letters picked without replacement from sidwmisx.
1/420
What is prob of sequence ppyy when four letters picked without replacement from {y: 10, p: 5, b: 4}?
25/1292
Calculate prob of sequence ll when two letters picked without replacement from dlzlzlzld.
1/6
Four letters picked without replacement from {q: 1, l: 4, i: 2, s: 3}. What is prob of sequence qsii?
1/840
Two letters picked without replacement from bbbmsgsmbbbgsbsbgbgm. Give prob of sequence bg.
9/95
What is prob of sequence nnb when three letters picked without replacement from kbkknkbbknbhkbn?
1/91
Two letters picked without replacement from {o: 16, g: 4}. What is prob of sequence gg?
3/95
Four letters picked without replacement from {k: 3, m: 1, i: 2, z: 1, j: 3, u: 5}. Give prob of sequence iuum.
1/819
Three letters picked without replacement from {s: 3, g: 1, p: 3, i: 3}. Give prob of sequence iss.
1/40
Calculate prob of sequence php when three letters picked without replacement from {a: 2, p: 2, h: 3, b: 2}.
1/84
Two letters picked without replacement from {e: 4, g: 2}. Give prob of sequence ee.
2/5
What is prob of sequence zzky when four letters picked without replacement from kzzky?
1/30
Three letters picked without replacement from gpbbggbb. What is prob of sequence bbg?
3/28
What is prob of sequence ggg when three letters picked without replacement from gggcggggggggggggcc?
455/816
Calculate prob of sequence fe when two letters picked without replacement from {k: 2, f: 5, p: 1, h: 2, e: 2, r: 2}.
5/91
Calculate prob of sequence ip when two letters picked without replacement from frfcgcip.
1/56
What is prob of sequence kcf when three letters picked without replacement from czzfcfzzfzzcczcfkc?
1/204
Two letters picked without replacement from awow. What is prob of sequence ao?
1/12
Two letters picked without replacement from osggfo. What is prob of sequence so?
1/15
Two letters picked without replacement from lvvqaqvvvvvqvqaaiv. What is prob of sequence al?
1/102
Three letters picked without replacement from {k: 11, o: 2}. Give prob of sequence koo.
1/78
Two letters picked without replacement from nnyyyanqylyy. Give prob of sequence la.
1/132
Two letters picked without replacement from ddrdrddwwdsrrdsddw. Give prob of sequence rd.
2/17
Calculate prob of sequence nvvi when four letters picked without replacement from vvinvnn.
3/140
Three letters picked without replacement from onomttjj. Give prob of sequence ojo.
1/84
Two letters picked without replacement from kesaaejq. Give prob of sequence kj.
1/56
Calculate prob of sequence jn when two letters picked without replacement from ciijnc.
1/30
Three letters picked without replacement from bbvbvbbbbbbvbbbbbb. Give prob of sequence vvv.
1/816
What is prob of sequence hv when two letters picked without replacement from phphvfhpvfhhp?
5/78
Calculate prob of sequence nc when two letters picked without replacement from kknc.
1/12
Three letters picked without replacement from {i: 5, x: 1, k: 3}. Give prob of sequence kix.
5/168
Three letters picked without replacement from {y: 5, u: 2}. What is prob of sequence yyy?
2/7
Calculate prob of sequence dtxx when four letters picked without replacement from xdtxtxtddxdxxtd.
5/273
Calculate prob of sequence xqq when three letters picked without replacement from {q: 4, x: 2}.
1/5
What is prob of sequence ox when two letters picked without replacement from {l: 2, o: 2, x: 4, z: 2, b: 2}?
2/33
Three letters picked without replacement from iffikfcksvsis. What is prob of sequence fsf?
3/286
What is prob of sequence msyf when four letters picked without replacement from {x: 2, a: 1, m: 1, y: 1, s: 1, f: 1}?
1/840
Four letters picked without replacement from fppsspfsfffpssx. What is prob of sequence ppps?
1/273
Calculate prob of sequence ae when two letters picked without replacement from eeeeeaeaaeeeeeeeee.
5/34
What is prob of sequence ix when two letters picked without replacement from xxjijxixi?
1/6
Calculate prob of sequence xx when two letters picked without replacement from eoeokxeakxlo.
1/66
Two letters picked without replacement from {h: 4, n: 2, a: 6}. What is prob of sequence nh?
2/33
Three letters picked without replacement from nkknkknnnnkkn. What is prob of sequence knk?
35/286
Three letters picked without replacement from {g: 2, z: 1, f: 1, v: 3}. What is prob of sequence gzf?
1/105
What is prob of sequence lg when two letters picked without replacement from {y: 2, g: 11, l: 5, p: 1, t: 1}?
11/76
Calculate prob of sequence tt when two letters picked without replacement from tjttdjdtt.
5/18
Calculate prob of sequence npgx when four letters picked without replacement from {x: 4, p: 2, n: 1, g: 10}.
1/714
Four letters picked without replacement from jhhheqqjjhqeqjeh. What is prob of sequence hhqq?
1/182
What is prob of sequence nn when two letters picked without replacement from {m: 1, n: 10, z: 2, y: 3}?
3/8
Four letters picked without replacement from hhphpggbbppf. What is prob of sequence hbfg?
1/990
What is prob of sequence mjr when three letters picked without replacement from ojrrrjmjjmomo?
3/143
What is prob of sequence koav when four letters picked without replacement from kaookv?
1/90
What is prob of sequence kxe when three letters picked without replacement from {k: 1, e: 1, x: 2}?
1/12
Calculate prob of sequence zx when two letters picked without replacement from {z: 2, x: 2}.
1/3
Two letters picked without replacement from gbguuujebgebbu. What is prob of sequence bu?
8/91
Two letters picked without replacement from {d: 7, f: 2, g: 8, p: 1}. Give prob of sequence gf.
8/153
Four letters picked without replacement from {s: 3, t: 7}. What is prob of sequence tttt?
1/6
Calculate prob of sequence jar when three letters picked without replacement from {j: 2, c: 1, r: 1, y: 2, a: 1}.
1/105
Calculate prob of sequence zc when two letters picked without replacement from {z: 1, t: 1, w: 1, j: 1, c: 1}.
1/20
Four letters picked without replacement from nnnk. Give prob of sequence nknn.
1/4
Two letters picked without replacement from {j: 1, b: 4, z: 6, r: 3, n: 1, k: 1}. What is prob of sequence bk?
1/60
Calculate prob of sequence qjjq when four letters picked without replacement from {j: 5, q: 15}.
35/969
Four letters picked without replacement from {b: 2, u: 2, w: 1, d: 1, x: 1, r: 1}. Give prob of sequence dxur.
1/840
Calculate prob of sequence yyku when four letters picked without replacement from kyzuy.
1/60
Calculate prob of sequence so when two letters picked without replacement from {s: 1, o: 1, y: 1}.
1/6
Three letters picked without replacement from bsbssbsbbsbs. What is prob of sequence sbs?
3/22
Three letters picked without replacement from qqrxirrrqqxbrrrqrrxr. Give prob of sequence rix.
1/228
Calculate prob of sequence np when two letters picked without replacement from kkpnp.
1/10
Four letters picked without replacement from jeeeeeeeejjeejjeee. What is prob of sequence ejje?
13/306
What is prob of sequence es when two letters picked without replacement from {h: 1, x: 1, s: 1, b: 8, e: 1}?
1/132
What is prob of sequence ho when two letters picked without replacement from ohohoohhoh?
5/ | {
"pile_set_name": "DM Mathematics"
} |
154368.65 and 0.
0
-1374 * -25.0903
34474.0722
Product of -24384 and -0.06284.
1532.29056
Multiply 60 and 168.621.
10117.26
What is the product of 0.246 and -168.57?
-41.46822
Work out 0.3367789 * -1.7.
-0.57252413
Work out -0.6 * 66.073.
-39.6438
-339497 * 3
-1018491
Multiply -0.762 and 29914.
-22794.468
Multiply -11.728 and -0.464.
5.441792
Multiply 2 and -14876472.
-29752944
Product of 5.93 and 74703.3.
442990.569
Product of -3730 and 2.292.
-8549.16
Multiply 0.6 and 10.212645.
6.127587
Product of 1.97843 and -53.
-104.85679
Calculate -443*-99.43.
44047.49
0.4676417 * 0.25
0.116910425
What is the product of 41 and 15.7555?
645.9755
Work out 334 * -31.703.
-10588.802
Calculate 445361*-0.649.
-289039.289
Work out -341991 * 0.7.
-239393.7
Multiply 2 and -14469199.6.
-28938399.2
Product of 549256 and -0.01.
-5492.56
Product of 10.5 and 167335.6.
1757023.8
What is -0.02 times 3357096?
-67141.92
Calculate -4*-6998069.
27992276
Multiply 0.9 and -4.3976422.
-3.95787798
0.59574 * -0.035
-0.0208509
Calculate 1474.703*0.048.
70.785744
What is the product of 3.621 and 505.44?
1830.19824
What is 0.072 times -0.144961?
-0.010437192
Product of 264 and 1211582.
319857648
-2 times 0.11851
-0.23702
-577352*0.079
-45610.808
What is the product of -13130 and 16.282?
-213782.66
-125*-245.516
30689.5
430984 * -0.051
-21980.184
What is the product of 186.962 and -0.03?
-5.60886
-6.4386 times 129
-830.5794
Product of -41895 and -30.
1256850
Work out 1956234 * 0.34.
665119.56
What is the product of -239938.08 and -6?
1439628.48
Product of -21686 and -1714.
37169804
What is -1661979 times 105?
-174507795
Product of 0.3 and 164964259.
49489277.7
What is the product of 110 and -108075?
-11888250
What is 700.55 times 282?
197555.1
Product of -1 and -14.79183.
14.79183
What is the product of -5 and 12284876?
-61424380
Work out -0.3 * -1223052.
366915.6
What is the product of 4 and 242669.15?
970676.6
Calculate -6*-39.9205.
239.523
-0.2 * -1999057
399811.4
-67*-1.1987
80.3129
Product of 1683728 and 0.02.
33674.56
What is -15159646 times 5?
-75798230
Calculate -10233931.04*-5.
51169655.2
-10042 times -525
5272050
Work out -3.234671 * -23.
74.397433
Work out 1958 * -167.62.
-328199.96
Multiply 0.043141 and -3.11.
-0.13416851
Calculate -5.37*-0.31576.
1.6956312
What is -0.4 times 58912555?
-23565022
Product of -0.3 and 906890.8.
-272067.24
Work out -0.3 * -0.00024466.
0.000073398
Work out -46538303 * 5.
-232691515
Work out 0.1 * 10627609.
1062760.9
Product of 20465275 and 1.
20465275
Multiply 65.34851 and -4.
-261.39404
Multiply 8832 and -1.51.
-13336.32
Work out -0.71 * 585.46.
-415.6766
-2 times -42275533
84551066
Work out 841 * -119.
-100079
89672142 * 0.08
7173771.36
Product of 1524 and -277329.
-422649396
What is the product of 511075.1 and -4?
-2044300.4
What is the product of 486289 and 81?
39389409
Calculate -2*0.17615736.
-0.35231472
Calculate -1308520*0.18.
-235533.6
Multiply -15.1 and -24245.
366099.5
-39988232*-0.4
15995292.8
What is the product of 1156 and -325.1?
-375815.6
Calculate -51685*-1462.
75563470
What is the product of 21 and -1884?
-39564
-0.12 times 50788449
-6094613.88
What is -523503 times 64?
-33504192
What is 209353288 times -0.2?
-41870657.6
What is the product of 4 and 95565890?
382263560
What is -22.0658722 times 0.2?
-4.41317444
Product of -15.261767 and -0.3.
4.5785301
What is the product of -31.1232 and -22?
684.7104
0.034 times -76696
-2607.664
Calculate 154*52.9253.
8150.4962
Product of 0.255 and -2358.171.
-601.333605
4 times 4249575
16998300
-0.02*135432
-2708.64
142683297*1
142683297
-6.4555048*-3
19.3665144
What is -5 times -1146263?
5731315
2810 * -863
-2425030
-63*-2174750
137009250
Calculate -0.361*7406.6.
-2673.7826
What is 883655 times -0.4?
-353462
0.07717672 times 0.3
0.023153016
3030955*0.6
1818573
Calculate 8.5*845562.
7187277
2611068 times 7
18277476
Multiply -1.458 and 130.08.
-189.65664
-5 * 377113
-1885565
Calculate -701.2912*-5.
3506.456
What is the product of 544711 and -0.04?
-21788.44
Multiply 558.973 and -0.76.
-424.81948
Work out 0.39 * 3.9719.
1.549041
Work out 77 * 0.141764.
10.915828
3156350.25 times 2
6312700.5
0.33 times -236177
-77938.41
Product of 20437199 and 0.014.
286120.786
228011 * 6869
1566207559
Calculate -0.1798*-3.896.
0.7005008
Calculate -5558*-616.2.
3424839.6
What is 35488.126 times -0.3?
-10646.4378
What is -2.562 times 25.37?
-64.99794
Multiply 16 and -22082.5.
-353320
What is the product of -0.004922 and 56.9?
-0.2800618
75224*1255
94406120
Calculate 5747708*0.4.
2299083.2
Work out 14.97 * -120.4.
-1802.388
3 * -39.80966
-119.42898
-4 * 110186.841
-440747.364
Multiply -3 and -234164637.
702493911
Calculate 0.2954*0.2775.
0.0819735
Product of 114428 and 1.04.
119005.12
-58350 * -10306
601355100
Multiply 8011 and 16819.
134737009
Multiply 27469 and -112.
-3076528
-0.12 * 0.28396
-0.0340752
Product of 0.1 and -77095.318.
-7709.5318
-1.269161 * 24
-30.459864
Work out -372 * -31.685.
11786.82
Calculate 0.1757*64914.
11405.3898
4 * 24123167
96492668
What is 0.723 times -0.193304?
-0.139758792
What is -2 times -415138618?
830277236
2.032 times 102300
207873.6
What is the product of -0.8253 and -9656?
7969.0968
Calculate -0.3*-2797980.
839394
Work out -1 * 5035563.
-5035563
What is the product of -1.1743 and -278?
326.4554
What is the product of -54 and -695298?
37546092
What is the product of 0.06 and -3657.399?
-219.44394
Multiply -1.1 and -0.17552819.
0.193081009
-21 times 274667
-5768007
What is -17369 times -36?
625284
What is 306 times 0.055144?
16.874064
Calculate -2495122*19.
-47407318
934 * 46765
43678510
Calculate -0.76*0.0663688.
-0.050440288
3.905236*-62
-242.124632
What is -4.0396242 times 0.2?
-0.80792484
Multiply -0.07 and -2.617154.
0.18320078
What is -131675 times -8?
1053400
182.5 times -35896
-6551020
199408 * -2.78
-554354.24
Calculate -1*1781141.
-1781141
What is the product of 1.33 and 359832?
478576.56
7180421 * -2.4
-17233010.4
Multiply 351.8 and 0.204.
71.7672
0.15448*114
17.61072
What is the product of -19424 and 0.05366?
-1042.29184
Product of -0.1 and 284.7638.
-28.47638
0.1 * -2936441.1
-293644.11
Multiply -3814089 and -10.
38140890
11.99248 * -16
-191.87968
-47*-24.946
1172.462
Product of -79 and 0.111375.
-8.798625
What is 3.405 times -47649?
-162244.845
Work out -0.2 * 0.52328494.
-0.104656988
-132 * -37339
4928748
Calculate -2.7*5471281.
-14772458.7
-0.22 times -1.196287
0.26318314
3*4341154
13023462
What is the product of 64 and 194.725?
12462.4
0.5*-0.05108619
-0.025543095
Calculate -5196*-0.5978.
3106.1688
Calculate -0.2935*0.05065.
-0.014865775
Work out -5935 * -3013.
17882155
Multiply 0.213 and 316397.
67392.561
Multiply 694889 and 239.
166078471
0.1 * 7647936
764793.6
Calculate 1*0.2920578.
0.2920578
Calculate 7466258*11.
82128838
-5 times 90773070
-453865350
What is the product of 7056 and -0.36469?
-2573.25264
Product of 0.3 and 6.9677967.
2.09033901
Multiply 23.4 and -1179629.
-27603318.6
Calculate 10230947*29.
296697463
What is the product of -1127399 and 916?
-1032697484
What is 2 times -18797.083?
-37594.166
682958 * 0.05
34147.9
Product of 0.052 and -5.5223.
-0.2871596
-54.66 times 2866
-156655.56
What is -3 times 42134680?
-126404040
Work out 0.4 * 115501.
46200.4
Product of 9794680 and 10.7.
104803076
3 times -4834409
-14503227
Calculate -457576*-2.
915152
-33429278 * 3
-100287834
Work out 6.088466 * 4.
24.353864
What is the product of -62043.7 and 1.46?
-90583.802
0.33528176*6
2.01169056
Product of -1380 and -246.6.
340308
Work out -0.1 * 49.204468.
-4.9204468
Multiply -0.3 and -147623590.
44287077
13181800 * 1
13181800
What is -49 times -0.440419?
21.580531
Product of -65 and -296483.
19271395
13926.8 times -0.4733
-6591.55444
-1524.2 times -2824
4304340.8
-0.02332 * 1.41
-0.0328812
-1.5 times 0.311291
-0.4669365
What is the product of -16542.9 and 5.1?
-84368.79
Product of 3636 and -38349.
-139436964
Calculate 0.11*-8846044.
-973064.84
Product of 0.06 and 2.8904336.
0.173426016
3421.05*-2.2
-7526.31
Calculate -2209.303*-0.4.
883.7212
Calculate -182.5*-173.251.
31618.3075
-0.061899461 * 0.25
-0.01547486525
-63863146 times 0.3
-19158943.8
What is the product of -4037 and 4577?
-18477349
What is -155485780 times 5?
-777428900
-1439.9 * -0.2861
411. | {
"pile_set_name": "DM Mathematics"
} |
0 + 0 - q. Let t be d(6). Let h be -3 + (-90)/(-6)*3/5. Do h and t have the same value?
True
Let u = 44191 - 44194. Let d = 3 + -1. Is u equal to d?
False
Suppose 2*q = 3*r + 30, 3*r = q - r - 25. Suppose -q*b - 64 = -5*b. Let t be b + -1 + 4 - -2. Which is smaller: -12 or t?
-12
Let s = -2/141 - 41/423. Suppose -5*c - 4650 = -4*j - j, 4*c = -2*j + 1884. Let m = j + -934. Is m < s?
False
Let j be (-70)/(-21)*-2 + 8/(-6). Let n be (j - -6)/(-1) - (0 - -7). Which is smaller: 2 or n?
n
Let a be (3/(-9))/(1/6). Suppose 5*z + 34 = 5*u - 1, 7 = u + z. Is a > u?
False
Let v = 7099 + -7102. Which is bigger: 1.064 or v?
1.064
Let x = 23333 - 23332. Which is smaller: 3/10154 or x?
3/10154
Let a = 1471.8 - 1445.8. Which is smaller: 29 or a?
a
Suppose 0 = -36*d - 15315 - 45453. Let k be (-750796)/(-444) + 1 + -4. Let f = d + k. Is 0 greater than or equal to f?
True
Suppose 0 = -4*k - 10 + 2. Suppose 15 = o + 1. Let g be ((-8)/(-12))/(o/(-15)). Is g at most as big as k?
False
Let c = 65 + -65.05. Let k = -4.7 + 2. Let u = k + 3.1. Are u and c nonequal?
True
Let a = -14 - -47. Let m = a - 25. Let l = 8.2 - m. Which is greater: 25 or l?
25
Let k = -187 - -484. Suppose -r = 2*i + 608, 3*r = -i + 6*r - k. Does -303 = i?
True
Let j = -70 - -71. Suppose 0 = 4*s - o - 10, 4*s + 0*s - 3*o - 14 = 0. Suppose -7*k = s*k + 504. Is j less than or equal to k?
False
Let q be ((-2)/3*38/(-114))/(194/6). Let j be ((-6)/9)/((-2)/(-3)). Is q less than j?
False
Let l = -61 - -64. Let x be l/36 - 10/(-15). Is x not equal to -1/16?
True
Let n = -4957 - -3464. Which is smaller: n or -1494?
-1494
Let c be 23 + 120/(-20)*4. Which is bigger: c or 4/577?
4/577
Let z = -512 - -512.2. Are z and -1495 unequal?
True
Let g be (28 - 32) + -3 + 22. Let w(t) = -t**3 + 4*t**2 - 2*t - 2. Let k be w(2). Suppose k = 2*b - 0. Which is greater: g or b?
g
Suppose 0 = 21*m + 22*m. Is -1/11611 less than m?
True
Let m be -10 + 2 - (1 + -780). Let y = m + -769. Is 13 at most as big as y?
False
Suppose 5*p + 63 = 4*g, 1 = g - 1. Let v = 0 - p. Suppose -z - v = 3*c - 0, z - 17 = 4*c. Is c greater than or equal to -14?
True
Let n be (-2 - 1) + (4 - 8). Let s be -2*n/63 - (-28)/36. Is s at least as big as 22?
False
Let z = 1661.7 + -1662. Which is greater: -24/7 or z?
z
Suppose 64 + 261 = 13*l. Suppose 0 = 24*o - l*o - 2*s, -5*s - 13 = -4*o. Which is smaller: o or -23.2?
-23.2
Suppose d + 2*u - 36 = -48, 0 = -4*d + 3*u - 15. Which is smaller: d or -0.83?
d
Let s be 6 - (2 + 3 - 4). Suppose -l + 4 = -5*b, 0*b - 2*b + s*l = -3. Which is smaller: b or 3/80?
b
Suppose 17787 = -32036*d + 32057*d. Which is smaller: 854 or d?
d
Suppose 0 = m + 3*k - 16, -2*k - 20 = -3*m - 4*k. Let n(u) = u**2 - 2*u + 4. Let i be n(6). Is i less than m?
False
Let c(b) = 3*b - 5. Let n be c(5). Let l = 6 - n. Let j = -19/158 - 2749/790. Is l > j?
False
Let v = 33 - 58. Let i(z) = -5*z**3 - 8*z**2 + 225*z - 8. Let x be i(6). Is v > x?
True
Suppose 23*g - 602 = 19*g - 3*y, 2*y + 12 = 0. Does 155 = g?
True
Let h be 1/5*294843/(-9). Let d = -6555 - h. Let y = d + 3/5. Which is smaller: -2 or y?
y
Let b = -259 - -251. Let m = 7 - -4. Suppose 4*r + 17 = -m. Does b = r?
False
Suppose 5*i + 2*k = 2*i + 2, 5*k = i - 12. Suppose 3*n = 5*b - 69, -b - 4*b = -i*n - 41. Which is bigger: -29 or n?
n
Let a = -25.34 - 3.26. Let h = 147.4 - a. Which is bigger: 0 or h?
h
Let g = 30.5 + -0.5. Let m = g + -76. Let y = -45 - m. Which is smaller: -1 or y?
-1
Let q = -1.25 + 1.604. Let o = q - 0.154. Does o = -0.046?
False
Let j(h) = -h**2 - 16*h - 34. Let v be j(-13). Suppose -v*t - 4 = -34. Let r be (t/95)/(-6 - 399/(-70)). Is -2 not equal to r?
True
Let t = -14370 + 13063. Is t <= -1307?
True
Let s = -580 - -580.0836. Let o = 399.9164 + s. Is o greater than 0.1?
True
Let t = -41 + 46. Let c be t + -2 + (-44)/(2 + -3). Let v be (-2)/(-4 + 190/c). Which is bigger: -46 or v?
-46
Let w = -6775 - -7045. Is 276 > w?
True
Let w = 638.56 + 3.44. Let r = w - 629.12. Let j = -0.12 - r. Is 2/3 equal to j?
False
Let t = -252 + 287. Let v = 62.8 + -62.8. Which is bigger: t or v?
t
Let b be 0 + (-990)/(-3992) - (47 + (-1309)/28). Let c(t) = -t + 5. Let m be c(6). Is b <= m?
False
Let a(z) = z**2 + 68*z + 569. Let f be a(-19). Which is bigger: f or -367?
f
Suppose 6*g = -2*f + 5*g - 541, -3*f - 815 = 5*g. Let z be 4/6 - (-1692)/f. Suppose 0 = v - 6*v - 30. Is z >= v?
True
Let f be -2*2/(-12)*18. Let g be (f/(-16))/(3/(-4)). Let r = 0.37586 + -2.37586. Do g and r have different values?
True
Suppose -23*r - 116 = 6*r. Let u be (-3)/r - (-22988)/112. Is 206 <= u?
True
Let m be 1432/(-546)*(-8)/(-16) + 20/15. Let c be 62/52 - 2/(-7). Let k = m + c. Is -0.03 bigger than k?
False
Let n(x) = x**3 + 98*x**2 + 956*x - 86. Let z be n(-87). Which is smaller: z or 16/5025?
16/5025
Let x = -1 + -62. Let c be 6/21 + (-927)/x. Let y be (2 + 0)*2/4. Are c and y nonequal?
True
Let h be (-6 - 39/(-9))/(40415/6735 + -6). Is h at most -2244?
True
Let k = 0.01771 - -88.04229. Let i = k - 87. Let b = i - -0.94. Are 21 and b unequal?
True
Suppose 0 = 2*u + 3*u + 5. Let t(p) = -p**2 + 56*p - 27. Let r be t(22). Let k = 12258/17 - r. Which is smaller: k or u?
u
Let t = 982687 + -14732059/15. Let v = 550 - t. Let u = 4 - 3. Is v at most u?
True
Let q be (123536/(-84))/((-8)/6*(-10)/60). Are q and -6617 nonequal?
True
Let f be 3/(-9) + (-3045)/(-1485). Let y = f - -926/33. Which is smaller: y or 29?
29
Let r = -166.72 - -163.72. Let q = -107 - -72. Is r at most q?
False
Let x be 1/3 - 490/1218. Let p(g) = -g**3 - g**2 - 7*g - 40. Let b be p(-3). Does b = x?
False
Let f be (-5010)/(-720) + 3/72. Which is greater: f or 0.02?
f
Let i = -107 + 136. Let y(n) = n**3 - 8*n**2 - 10*n + 12. Let s be y(9). Is s less than i?
True
Let v(a) = -a**3 - 4*a**2 - 1. Let u be v(-3). Let y be 4/u + 28/20. Let m = 326492/25 - 13060. Which is smaller: m or y?
m
Let k be (39 - -1)/((-5)/5). Let j = k - -41. Suppose -l = -0*l. Which is smaller: j or l?
l
Let a be (-1)/(-5) - 1866*(-20)/(-180600). Is -1 equal to a?
False
Let p = 466.1252 + -0.1252. Let l = -0.091 - -0.191. Which is smaller: p or l?
l
Suppose 2*y + 49*y + 1142 = -13189. Which is bigger: -283 or y?
y
Let o(a) = a**3 + 3*a**2 - 2*a - 4. Let u be o(-3). Let t be u/1 - (-28)/(-13). Let n be 5*((-1 - 0) + 2) + 7. Which is bigger: n or t?
n
Let q be 12/(-11) - 9251584/1562. Is q <= -1/4?
True
Let m = 3472 - 3475. Let x(k) be the second derivative of -k**3 - 5*k**2/2 - k. Let o be x(m). Which is bigger: o or 15?
15
Let d be 384/(-1056) + 84006/(-33). Which is bigger: d or -2545?
-2545
Let p = -1420 + 1338. Is -487/6 <= p?
False
Let y be -2*(-6)/36*-3*1. Let o be -5*(-2)/(-5) - (y - 14). Is o < 13?
False
Let j = 486 + -1044. Let y = 593 + j. Is y > -0.1?
True
Let d(r) = -r**2 - 6*r - 12. Let v(h) = h**3 + 8*h**2 - 9*h - 4. Let l be v(-9). Let o be d(l). Let f be (22/(-6))/(44/33). Are o and f nonequal?
True
Let x = -262/1325 - -2/53. Let s be (4/16)/1 + (-5)/4. Which is bigger: x or s?
x
Let q be -1*1 + 24/21. Let p be (6/14)/(-1) + 4606/343. Suppose p*z + 10 = 3*z. Which is greater: z or q?
q
Let u(g) = -30*g**3 + 9*g + 9. Let o be u(-1). Suppose o*b = 24*b - 6. Which is smaller: 1/43 or b?
b
Suppose -35*x = 8761 + 864. Are -290 and x unequal?
True
Let b = -67.67 + -71.33. Is b bigger than -15?
False
Suppose v - 4*z + 62 = 0, -5*z + 4 + 11 = 0. Is -55 >= v?
False
Suppose 2*x + 2*v + 160 = 0, -3*x - v + 6*v = 216. Let l be ((-920)/8)/((-12)/8). Let t = l + x. Is 55 > t?
True
Let y = 56 + -27. Suppose 2*d + 5*m - 4 = 0, -6 - 2 = -4*d + 3*m. Let t be (-7 - -6)*(2 + -3 + d). Which is bigger: t or y?
y
Let n(u) = -59*u + 887. Let b be n(15). Is b at least 69/20?
False
Let i be 51/(-255) + (-105)/(-3800)*6. Is -0.1 equal to i?
False
Let g(h) = h**3 + 47*h**2 + 113*h + 3083. Let s be g(-46). Does 2/1751 = s?
False
Let p = -1898758421/45 + 42215962. Let g = p - 21329. Let i = g - 6/5. Which is greater: 0.1 or i?
i
Suppose -5*v = -l - 94 - 38, 69 = 3*v - 4*l. Let s be 18/(-36) + -6*v/(-364). Which is smaller: s or 0?
s
Let z = -221 - 1009. Let i = 1744 + z. Is i at least as big as -1?
True
Let x = 1.82 + 1.4. Let o = x - 2.22. Is -1/10 != o?
True
Suppose 3*v = q + 3*q + 9, 5*q = 5*v - 15. Let i(j) be the third derivative of j**4/12 + j**3/3 - 21*j**2. Let d be | {
"pile_set_name": "DM Mathematics"
} |
1 + -1. Which is the second smallest value? (a) d (b) j (c) 2
a
Let g = 0.1 + 0.4. Let n = -55/124 + 6/31. Which is the smallest value? (a) g (b) n (c) 0.1
b
Let d = 173/10 + -35/2. Let c = 4.94 + 0.06. What is the biggest value in 0.5, d, c?
c
Let q = -13 - -14. Let z = -0.4 + q. Which is the second smallest value? (a) 2 (b) -3 (c) z
c
Let m = 1.1 + -1. Let l = -1.4 + 2. Let q = l - m. Which is the biggest value? (a) -0.2 (b) q (c) 1/3
b
Let h = -7.2 + -1.8. Let v = h - -4. Let r = 267 - 271. Which is the smallest value? (a) v (b) r (c) -0.1
a
Let i = 5 - 1. Let l = -3.8 + i. Which is the third biggest value? (a) l (b) 0.5 (c) 0
c
Let t = -2/27097 - -1923979/1246462. Let b = 1/23 - t. Let q = 53 - 57. What is the smallest value in -1, q, b?
q
Let z = 6 - 5.92. Let d = 4.08 - z. Which is the third biggest value? (a) 0.1 (b) d (c) 2/9
a
Let x(f) = f**3 - 15*f**2 + 15*f - 9. Let m be x(14). Which is the third biggest value? (a) m (b) -3 (c) 1 (d) -0.1
d
Let i = 4.932 + 0.068. Which is the smallest value? (a) 1 (b) -3/5 (c) 4/3 (d) i
b
Suppose -x + 4*x - 3 = 0. Let d be 3/(-1*(-9)/(-12)). Let s = 3 + d. Which is the biggest value? (a) 0.5 (b) x (c) s
b
Let d = 135 - 130. Which is the second smallest value? (a) -1.4 (b) d (c) 3
c
Let t be -2*1 + 96/44. Let l = 15/2 - 7. What is the third biggest value in l, t, -4?
-4
Let i be ((-4)/20)/(-1) + 0. What is the third smallest value in 4/3, 2/7, i?
4/3
Let d be 6/(-20)*8/(-12). What is the third biggest value in 5, d, 0.4?
d
Let h = 5.5 - 5. What is the second smallest value in -4, 4, h?
h
Let t be 6/(-12) + 3/14. Which is the second smallest value? (a) -3 (b) t (c) -4
a
Let i = 0.6 + -0.8. Let n be (3/36)/((-1)/2). Which is the third smallest value? (a) i (b) 0.3 (c) n
b
Let w be 4/(-14) + (-191)/(-7). Suppose -5*p - w = 3. Let m be -2*(0 - p/4). Which is the second smallest value? (a) 1 (b) -2 (c) m
b
Let t = 14 + -15. Which is the third biggest value? (a) t (b) 5 (c) 2
a
Let o be (-2)/(-1) + 42/(-24). What is the biggest value in 5, o, 5/3?
5
Let o = -10 - -10.5. Let s be 19/(-7) + 4/(-14). Let u = -9 + 4. Which is the second biggest value? (a) s (b) u (c) o
a
Let y = 2.1 - -1.9. Which is the second biggest value? (a) y (b) -2 (c) 3
c
Let j be 2/39*(-4)/8. Let w = -46/273 - j. What is the second smallest value in w, 1, 0.3?
0.3
Let z = 0.88 - 1.88. Which is the biggest value? (a) 0.4 (b) 0 (c) z (d) -3
a
Suppose 2*r + 5 = -3*z, 5*r + 14 + 4 = -2*z. Let h = -5 + 3. What is the third smallest value in z, 1/5, h?
z
Suppose -3*b - 6 = -i, -b + 2 - 4 = 0. What is the second biggest value in 0.2, i, 4?
0.2
Let k = -7.9 + 8.4. What is the biggest value in -2, k, -5?
k
Let q = 72 - 69. What is the fourth biggest value in -2/7, -2/5, 4, q?
-2/5
Let g be 1 + (-2)/8*-3. Let t = g - 39/20. Suppose 5*b = 181 - 161. What is the smallest value in t, b, 5?
t
Let v = 5.3 + -5. Let p = 0.33 - v. Which is the smallest value? (a) 1 (b) p (c) -3/7
c
Let s = -0.08 - 0.05. Let l = s + 0.03. Which is the smallest value? (a) 0.2 (b) l (c) 1/7
b
Let i = 3 + -3. Let v be ((-5)/(-3) - 1)*-3. Let o be (1/(5/(-2)))/v. What is the second biggest value in -4/3, o, i?
i
Let d = -0.19 + -0.11. Which is the second smallest value? (a) 5 (b) -5 (c) d
c
Let y be (506/(-33))/((-20)/(-21)). Let p = y - -31/2. What is the second biggest value in 0.1, -1, p?
p
Let x = 0.12 - 0.2. Let f = x - -0.58. What is the second smallest value in f, -3, 1/4?
1/4
Let z = 8 + -7.64. Let p = z + -0.06. Let c = -0.11 - -4.11. What is the second smallest value in 1, c, p?
1
Let t = 3 + -4. Let m = t - 4. What is the biggest value in 5, 1, m?
5
Let x = -118676113/780 + 152149. Let h = x + 1/60. Let z = -2/9 - -5/9. What is the second smallest value in z, h, -1?
h
Let t = 1253866/11 - 114180. Let r = t + 192. Let x = -2 + 6. Which is the second biggest value? (a) -1/5 (b) x (c) r
c
Let u(z) = -z**3 + 9*z**2 + 10*z - 1. Let i be u(10). Which is the smallest value? (a) -5 (b) i (c) 2/15
a
Let i = -0.8 + 0.94. Let p = -0.56 - i. Which is the third biggest value? (a) 2/13 (b) p (c) 3
b
Let x = 0 + -4. Let q(w) = w - 1 + 0 + 5. Let u be q(0). Which is the third biggest value? (a) u (b) -0.2 (c) x
c
Let d = -0.07 + 0.47. Which is the third smallest value? (a) d (b) 0 (c) -8
a
Let r = 0.9 + 2.1. What is the third smallest value in r, 2/5, -0.6?
r
Let b = 67/5 - 608/45. Let j = -0.3 - -0.3. Suppose -3*a = 1 - 4. What is the third smallest value in j, b, a?
a
Let j = -55 + 55.5. Which is the second smallest value? (a) -1/10 (b) -0.07 (c) j
b
Suppose 4*l + 2*t = -2*t - 4, -2*l = 5*t + 11. Let z be l + (-56)/18 + 1. Which is the second biggest value? (a) z (b) 5 (c) -2
a
Let q(s) = -2*s + 12. Let m be q(-10). Suppose -m = 4*i + 5*f, 0*f - 31 = 5*i + 4*f. Which is the smallest value? (a) 2/7 (b) -1/3 (c) i
c
Let m = -17/3 - -6. Let c = 3.1 - 3. Let h = -0.4 + 0.2. What is the smallest value in c, h, m?
h
Let i = -0.07 - -8.07. Let u = -3 + i. Which is the smallest value? (a) -5 (b) 0.3 (c) u
a
Let k = 0.04 - -0.06. Let p = -5.9 - k. Let x = -9 - p. What is the third biggest value in 0.2, 5, x?
x
Let p = 0.08 - -0.52. Let x = -0.3 + p. Which is the biggest value? (a) x (b) 3/7 (c) -0.1
b
Let r = -10013 + 49867/5. Let k = r + 2584/65. Let f = 0.37 - 0.17. What is the second biggest value in k, -1/2, f?
k
Suppose 12*s = 7*s + 15. Which is the second smallest value? (a) s (b) 1/23 (c) 1
c
Let g = -0.182 + -0.118. Which is the third smallest value? (a) g (b) 0.3 (c) 2/3
c
Let r be (-8)/2*9/(-4). Let j be (1/4)/(r/(-24)). Let x be 1/(1*(-1)/(-1)). Which is the second biggest value? (a) j (b) -0.5 (c) x
b
Suppose -2*z = z. Suppose z*y - 12 = -3*y. Suppose -y*g + k - 18 = 0, -5 - 1 = g - k. What is the third smallest value in -3/2, g, 0.2?
0.2
Suppose -2*y + 11 + 3 = -4*g, 5 = -5*g. Let p = -4 + 11/3. What is the third smallest value in p, -4, y?
y
Let d be 100/(-45) + 2 + 8/(-18). Let l = 0.95 - -0.15. Let n = l + -1. What is the third smallest value in n, -3/7, d?
n
Let o = -65 - -98. Suppose 3*g = -0*g - o. Let r = g - -6. What is the smallest value in r, -1, 0.5?
r
Let p = 29 + -24. What is the third smallest value in -5, p, 0.3, 0.1?
0.3
Let n be -4 + (-185)/180*-4. Which is the fourth biggest value? (a) -0.4 (b) -5 (c) n (d) 0
b
Let d = 14 - 14.5. What is the second smallest value in d, -1/4, -3, -1/9?
d
Let m = 0 - -1/2. Let v = -2.3 - -2.2. What is the second biggest value in m, -2, v?
v
Let j = 6 + -2. Let y = -2 + j. Which is the second smallest value? (a) -1/7 (b) y (c) -1
a
Let m = -15 - -17. What is the third biggest value in m, -2, -0.3?
-2
Let w = -4.6 + 4. Let o = 1 + w. Let i = 5 - 4.8. Which is the smallest value? (a) o (b) i (c) -4
c
Let f be 2 - 1/(10/24). Which is the smallest value? (a) f (b) 0 (c) -0.5
c
Let t(h) = 2*h**3 - 27*h**2 + 14*h - 9. Let o be t(13). Which is the second smallest value? (a) 0.16 (b) o (c) 0.3
c
Let v = 1 + 7. Let r = v + -14. Let c = r - -5.5. What is the third smallest value in 1/3, 0, c?
1/3
Let q = -5.83 - -0.83. What is the second smallest value in 1, -4, -1/5, q?
-4
Let x = -26.4 + 26. What is the third biggest value in x, 1/3, 0.07?
x
Let s = -19.05 - -15. Let l = -0.65 + 0.6. Let j = l - s. Which is the second biggest value? (a) -3 (b) j (c) 1
c
Let v = 2.1 - 2. Let o be -6*(-3)/36*-3. Which is the smallest value? (a) o (b) -4 (c) v
b
Let c = 22 - 24. What is the second biggest value in 5, -5, c?
c
Let d = 0.7 - 0.6. Suppose 0 = 2*g - 3*g + 5. Which is the biggest value? (a) d (b) -3 (c) g
c
Let y = 57 - 60. Which is the third smallest value? (a) y (b) 5 (c) -1 (d) -0.8
d
Let s(w) = 5*w - 17. Let x be s(3). Which is the biggest value? (a) x (b) 0.5 (c) 4
c
Let f = -0.09 - -0.09. Let p = -0.5 + f. What is the third smallest value in 0, p, 3?
3
Let j = 0.08 + 2.92. Let q(k) = -k**3 - 5*k**2 - k - 3. Let n be q(-5). Let o be (n/(-12))/(2/(-8)). Which is the smallest value? (a) o (b) 1/3 (c) j
b
Let v = 8.79 - -0.21. Let h = v - 12. Which is the biggest value? (a) h (b) 0.2 (c) 2/9
c
Let t = -402 + 129. Let v be 7/(t/(-6)) - 0. What is the second biggest value in 2, -0.2, v?
v
Let o | {
"pile_set_name": "DM Mathematics"
} |
t of 491908?
9
What is the hundred thousands digit of 2660495?
6
What is the hundreds digit of 38906905?
9
What is the units digit of 27513736?
6
What is the ten thousands digit of 2430281?
3
What is the units digit of 705000?
0
What is the units digit of 2603126?
6
What is the hundred thousands digit of 2944433?
9
What is the millions digit of 13579374?
3
What is the hundred thousands digit of 9417934?
4
What is the tens digit of 7811897?
9
What is the tens digit of 1912957?
5
What is the tens digit of 2396370?
7
What is the tens digit of 257044?
4
What is the tens digit of 48055?
5
What is the hundreds digit of 6541788?
7
What is the tens digit of 5499898?
9
What is the units digit of 145424?
4
What is the hundreds digit of 6799151?
1
What is the thousands digit of 743790?
3
What is the tens digit of 62599?
9
What is the millions digit of 15260758?
5
What is the units digit of 5589280?
0
What is the hundred thousands digit of 8894642?
8
What is the hundred thousands digit of 836908?
8
What is the hundreds digit of 682164?
1
What is the tens digit of 12001192?
9
What is the hundred thousands digit of 348785?
3
What is the units digit of 337361?
1
What is the hundred thousands digit of 1203587?
2
What is the hundred thousands digit of 360190?
3
What is the hundred thousands digit of 304077?
3
What is the ten millions digit of 12631910?
1
What is the thousands digit of 103072?
3
What is the ten thousands digit of 4231821?
3
What is the millions digit of 6500163?
6
What is the hundreds digit of 3097647?
6
What is the thousands digit of 135124?
5
What is the hundred thousands digit of 16403354?
4
What is the hundreds digit of 13135175?
1
What is the ten thousands digit of 14696249?
9
What is the hundred thousands digit of 1335609?
3
What is the thousands digit of 81443?
1
What is the hundreds digit of 363747?
7
What is the hundred thousands digit of 323546?
3
What is the hundred thousands digit of 212325?
2
What is the thousands digit of 7448527?
8
What is the tens digit of 180763?
6
What is the ten thousands digit of 15096?
1
What is the units digit of 1898076?
6
What is the millions digit of 14079642?
4
What is the hundred thousands digit of 564700?
5
What is the hundreds digit of 370259?
2
What is the tens digit of 5421056?
5
What is the tens digit of 216872?
7
What is the units digit of 2924984?
4
What is the thousands digit of 8564415?
4
What is the units digit of 627598?
8
What is the tens digit of 7321042?
4
What is the units digit of 105614?
4
What is the tens digit of 22597387?
8
What is the millions digit of 7595998?
7
What is the tens digit of 4136594?
9
What is the millions digit of 16613401?
6
What is the ten thousands digit of 230947?
3
What is the hundreds digit of 85674?
6
What is the ten millions digit of 13454324?
1
What is the units digit of 114511?
1
What is the hundreds digit of 197368?
3
What is the thousands digit of 81824?
1
What is the hundreds digit of 1897873?
8
What is the tens digit of 10776047?
4
What is the ten thousands digit of 186225?
8
What is the thousands digit of 2573042?
3
What is the millions digit of 3592805?
3
What is the tens digit of 265725?
2
What is the units digit of 3207698?
8
What is the units digit of 756201?
1
What is the units digit of 2679342?
2
What is the thousands digit of 1328519?
8
What is the ten thousands digit of 10660024?
6
What is the millions digit of 1032799?
1
What is the units digit of 7591752?
2
What is the thousands digit of 113586?
3
What is the tens digit of 3545911?
1
What is the hundred thousands digit of 897825?
8
What is the hundred thousands digit of 351223?
3
What is the millions digit of 3044193?
3
What is the thousands digit of 36058617?
8
What is the units digit of 4169989?
9
What is the thousands digit of 2358863?
8
What is the hundred thousands digit of 565217?
5
What is the ten thousands digit of 116339?
1
What is the units digit of 36506?
6
What is the ten thousands digit of 47645?
4
What is the thousands digit of 4848007?
8
What is the tens digit of 2191285?
8
What is the units digit of 260888?
8
What is the ten thousands digit of 204855?
0
What is the thousands digit of 9658296?
8
What is the thousands digit of 40094?
0
What is the millions digit of 17164798?
7
What is the thousands digit of 383496?
3
What is the hundred thousands digit of 9298984?
2
What is the hundred thousands digit of 362109?
3
What is the units digit of 420636?
6
What is the thousands digit of 316102?
6
What is the tens digit of 345120?
2
What is the hundred thousands digit of 629410?
6
What is the tens digit of 730869?
6
What is the tens digit of 35349?
4
What is the hundreds digit of 3428094?
0
What is the hundreds digit of 355054?
0
What is the hundreds digit of 3720131?
1
What is the hundred thousands digit of 303704?
3
What is the hundreds digit of 4096106?
1
What is the hundreds digit of 20834328?
3
What is the millions digit of 1235848?
1
What is the units digit of 5979050?
0
What is the hundred thousands digit of 1505661?
5
What is the ten thousands digit of 5484178?
8
What is the units digit of 548578?
8
What is the hundreds digit of 8321647?
6
What is the tens digit of 58562?
6
What is the units digit of 9437766?
6
What is the units digit of 552341?
1
What is the hundred thousands digit of 426295?
4
What is the ten thousands digit of 26093?
2
What is the hundreds digit of 197413?
4
What is the hundred thousands digit of 210143?
2
What is the thousands digit of 81877?
1
What is the ten thousands digit of 5449285?
4
What is the ten thousands digit of 8893074?
9
What is the ten millions digit of 25941072?
2
What is the hundreds digit of 6684694?
6
What is the ten thousands digit of 1857248?
5
What is the tens digit of 7537647?
4
What is the thousands digit of 647061?
7
What is the thousands digit of 1761289?
1
What is the hundred thousands digit of 409790?
4
What is the units digit of 251405?
5
What is the hundreds digit of 3278339?
3
What is the hundreds digit of 52749?
7
What is the hundred thousands digit of 419940?
4
What is the hundred thousands digit of 9138636?
1
What is the hundreds digit of 388586?
5
What is the tens digit of 3541253?
5
What is the ten thousands digit of 225313?
2
What is the hundred thousands digit of 1315769?
3
What is the thousands digit of 29193?
9
What is the thousands digit of 118340?
8
What is the hundreds digit of 79768?
7
What is the hundred thousands digit of 980048?
9
What is the ten thousands digit of 721511?
2
What is the thousands digit of 663758?
3
What is the ten millions digit of 15578614?
1
What is the units digit of 422297?
7
What is the hundreds digit of 19236986?
9
What is the hundreds digit of 126613?
6
What is the tens digit of 4849463?
6
What is the ten thousands digit of 4192256?
9
What is the tens digit of 7217671?
7
What is the tens digit of 2720384?
8
What is the units digit of 186480?
0
What is the thousands digit of 229719?
9
What is the units digit of 203373?
3
What is the hundred thousands digit of 11232029?
2
What is the ten thousands digit of 17297?
1
What is the tens digit of 1056837?
3
What is the hundreds digit of 3340909?
9
What is the tens digit of 396014?
1
What is the tens digit of 6614028?
2
What is the hundreds digit of 186685?
6
What is the millions digit of 3205847?
3
What is the tens digit of 1429666?
6
What is the millions digit of 4075321?
4
What is the tens digit of 1894255?
5
What is the tens digit of 19800454?
5
What is the units digit of 3391777?
7
What is the ten millions digit of 10277353?
1
What is the units digit of 533870?
0
What is the tens digit of 315086?
8
What is the millions digit of 12927573?
2
What is the thousands digit of 6681937?
1
What is the tens digit of 27703?
0
What is the units digit of 3128?
8
What is the hundred thousands digit of 425116?
4
What is the ten thousands digit of 6320745?
2
What is the units digit of 193080?
0
What is the hundred thousands digit of 169170?
1
What is the hundred thousands digit of 9002492?
0
What is the hundreds digit of 2275470?
4
What is the ten thousands digit of 4419818?
1
What is the tens digit of 687135?
3
What is the hundreds digit of 148090?
0
What is the hundred thousands digit of 1851901?
8
What is the tens digit of 2163316?
1
What is the mi | {
"pile_set_name": "DM Mathematics"
} |
hat x**2/8 - 69*x/8 + 106 = 0.
16, 53
Find n such that 4*n**5 + 12*n**4 - 56*n**3 - 72*n**2 + 52*n + 60 = 0.
-5, -1, 1, 3
Factor 2*j**3 - 24*j**2 + 18*j + 44.
2*(j - 11)*(j - 2)*(j + 1)
Suppose -5*a**3/4 - 15*a**2 - 225*a/4 - 135/2 = 0. Calculate a.
-6, -3
What is o in -2*o**4/3 - 16*o**3/3 - 34*o**2/3 + 4*o/3 + 16 = 0?
-4, -3, -2, 1
Factor 4*p**3 + 8*p**2 - 92*p - 240.
4*(p - 5)*(p + 3)*(p + 4)
What is p in -5*p**2 - 520*p - 13520 = 0?
-52
Factor -3*s**2/2 + 9*s/2 + 6.
-3*(s - 4)*(s + 1)/2
Suppose -20*d**2 + 124*d - 192 = 0. Calculate d.
3, 16/5
Factor 3*u**2/2 + 6*u - 15/2.
3*(u - 1)*(u + 5)/2
Suppose n**5/6 + n**4/3 - n**3/3 - 4*n**2/3 - 7*n/6 - 1/3 = 0. What is n?
-1, 2
Solve 24*g**5/17 + 146*g**4/17 + 226*g**3/17 + 6*g**2 - 10*g/17 - 8/17 = 0.
-4, -1, -1/3, 1/4
Let 2*a**2 - 2436*a + 741762 = 0. What is a?
609
Factor -2*h**3/3 - 34*h**2/3 + 178*h/3 + 70.
-2*(h - 5)*(h + 1)*(h + 21)/3
Let -6*a**5 + 58*a**4 - 10*a**3 - 610*a**2 + 376*a + 192 = 0. Calculate a.
-3, -1/3, 1, 4, 8
Factor -2*f**3/5 - 4*f**2/5 + 96*f/5.
-2*f*(f - 6)*(f + 8)/5
Suppose -3*n**3 - 69*n**2 - 321*n - 255 = 0. Calculate n.
-17, -5, -1
Factor 4*g**3 + 52*g**2.
4*g**2*(g + 13)
Let -2*o**2/3 - 5800*o/3 - 4205000/3 = 0. Calculate o.
-1450
Factor t**5/4 + 2*t**4 + 21*t**3/4 + 11*t**2/2 + 2*t.
t*(t + 1)**2*(t + 2)*(t + 4)/4
What is d in -15*d**4 + 48*d**3 - 9*d**2 - 60*d + 12 = 0?
-1, 1/5, 2
Factor -f**4/5 - 71*f**3/5 - 684*f**2/5 - 1404*f/5 + 432.
-(f - 1)*(f + 6)**2*(f + 60)/5
Factor -3*x**4 + 96*x**3 + 900*x**2 + 2352*x + 1920.
-3*(x - 40)*(x + 2)**2*(x + 4)
Factor y**3/5 + 4*y**2/5 - 16*y/5 - 64/5.
(y - 4)*(y + 4)**2/5
Factor r**3 + 10*r**2 - 37*r + 26.
(r - 2)*(r - 1)*(r + 13)
Factor 2*i**4/5 - 76*i**3/5.
2*i**3*(i - 38)/5
Factor 3*r**3 - 506*r**2/3 + 7168*r/3 - 1568/3.
(r - 28)**2*(9*r - 2)/3
Find l, given that 3*l**5 + 14*l**4 - 55*l**3 - 354*l**2 - 448*l - 160 = 0.
-4, -1, -2/3, 5
Find j such that 5*j**2 - 13290*j + 8831205 = 0.
1329
Factor 16*y**4 + 126*y**3 + 192*y**2 + 70*y - 12.
2*(y + 1)**2*(y + 6)*(8*y - 1)
Solve -5*g**3/2 - 195*g**2 - 6765*g/2 + 16810 = 0 for g.
-41, 4
Factor -f**4 + 3*f**3 + 36*f**2 + 32*f.
-f*(f - 8)*(f + 1)*(f + 4)
Factor 3*r**2 - 3*r - 36.
3*(r - 4)*(r + 3)
Suppose -a**4/3 + 4*a**3/3 - 4*a**2/3 = 0. Calculate a.
0, 2
Factor 2*p**3/7 + 74*p**2/7 - 248*p/7 - 320/7.
2*(p - 4)*(p + 1)*(p + 40)/7
Let 5*c**2 + 315*c + 4750 = 0. Calculate c.
-38, -25
What is c in -2*c**5/11 + 8*c**4/11 + 4*c**3/11 - 24*c**2/11 - 18*c/11 = 0?
-1, 0, 3
Determine l, given that -2*l**5/11 + 138*l**4/11 + 430*l**3/11 + 150*l**2/11 - 428*l/11 - 288/11 = 0.
-2, -1, 1, 72
What is g in 2*g**2 - 868*g - 4390 = 0?
-5, 439
Factor -16*c**2/7 - 9500*c/7 + 2376/7.
-4*(c + 594)*(4*c - 1)/7
Factor -3*d**4 - 9*d**3 + 42*d**2 + 36*d - 120.
-3*(d - 2)**2*(d + 2)*(d + 5)
Find q such that 3*q**2 + 27*q - 66 = 0.
-11, 2
Factor -5*x**3 - 130*x**2 - 345*x.
-5*x*(x + 3)*(x + 23)
Factor -2*s**4/5 + 3546*s**3/5 - 1573536*s**2/5 + 1569992*s/5.
-2*s*(s - 886)**2*(s - 1)/5
Factor -r**5 + 10*r**4 + 37*r**3 + 26*r**2.
-r**2*(r - 13)*(r + 1)*(r + 2)
Determine i, given that -25*i**5 - 660*i**4 + 1140*i**3 + 560*i**2 = 0.
-28, -2/5, 0, 2
Solve -5*q**4 - 600*q**3 - 26730*q**2 - 522720*q - 3773385 = 0 for q.
-33, -21
Suppose 15*k**5/2 + 5*k**4 - 30*k**3 - 20*k**2 = 0. What is k?
-2, -2/3, 0, 2
Factor 4*v**5 + 8*v**4 - 12*v**3 - 32*v**2 - 16*v.
4*v*(v - 2)*(v + 1)**2*(v + 2)
Factor u**3/7 - 2*u**2/7 + u/7.
u*(u - 1)**2/7
Factor -2*n**2/5 - 26*n - 128/5.
-2*(n + 1)*(n + 64)/5
Solve -2*p**4/5 - 16*p**3/5 - 6*p**2 + 16*p/5 + 32/5 = 0.
-4, -1, 1
Find f such that -15*f**5/4 + 1941*f**4/4 + 1215*f**3/4 - 5853*f**2/4 + 93*f + 585 = 0.
-2, -3/5, 1, 130
Find l such that -4*l**3 + 56*l**2 - 44*l - 104 = 0.
-1, 2, 13
Suppose -35*h**5 + 95*h**4 + 170*h**3 + 40*h**2 = 0. Calculate h.
-1, -2/7, 0, 4
Factor n**2 - 46*n.
n*(n - 46)
Factor 8*q**3/13 + 1618*q**2/13 + 82012*q/13 + 20402/13.
2*(q + 101)**2*(4*q + 1)/13
Factor 18*m**4 + 132*m**3 + 314*m**2 + 264*m + 72.
2*(m + 3)**2*(3*m + 2)**2
Factor -9*f**3 + 7*f**2 + 182*f + 40.
-(f - 5)*(f + 4)*(9*f + 2)
Factor o**3 + 2*o**2 - 3*o.
o*(o - 1)*(o + 3)
Find p, given that -48*p**4 + 744*p**3 + 4221*p**2 + 1968*p + 240 = 0.
-4, -1/4, 20
Factor -18*u**3 - 7914*u**2 + 10576*u - 3528.
-2*(u + 441)*(3*u - 2)**2
Determine w so that 42*w**3/5 + 171*w**2/5 + 36*w + 12/5 = 0.
-2, -1/14
Factor -2*p**3 + 154*p**2 - 732*p + 864.
-2*(p - 72)*(p - 3)*(p - 2)
Find d, given that 3*d**5 - 51*d**4 + 240*d**3 - 192*d**2 = 0.
0, 1, 8
Factor -5*f**3 - 335*f**2 + 685*f - 345.
-5*(f - 1)**2*(f + 69)
What is x in -3*x**5 + 291*x**4 + 297*x**3 - 291*x**2 - 294*x = 0?
-1, 0, 1, 98
Determine o, given that -o**2/3 + 61*o - 1232/3 = 0.
7, 176
Suppose 5*q**3 + 55*q**2 + 120*q = 0. What is q?
-8, -3, 0
Solve 4*h**4 - 428*h**3 + 408*h**2 + 1712*h - 1696 = 0 for h.
-2, 1, 2, 106
Solve 3*g**5/7 + 9*g**4/7 - 39*g**3/7 - 153*g**2/7 - 108*g/7 = 0 for g.
-3, -1, 0, 4
Suppose w**4/5 - 3*w**3/5 - 49*w**2/5 - 9*w = 0. What is w?
-5, -1, 0, 9
Solve -656*i**2 - 652*i + 4 = 0 for i.
-1, 1/164
Factor -4*k**3 - 2412*k**2 - 364812*k - 362404.
-4*(k + 1)*(k + 301)**2
Determine t, given that 2*t**3/9 + 2*t**2/9 = 0.
-1, 0
Solve -3*n**2 + 14331*n = 0 for n.
0, 4777
Suppose -a**3/2 - 557*a**2/8 + 421*a/8 + 35/2 = 0. What is a?
-140, -1/4, 1
Suppose -2*s**5 - 20*s**4 + 12*s**3 + 104*s**2 - 154*s + 60 = 0. Calculate s.
-10, -3, 1
Factor 2*q**2 + 96*q + 1152.
2*(q + 24)**2
Suppose -14*j**4/9 + 1676*j**3/9 + 1294*j**2/3 + 2680*j/9 + 488/9 = 0. What is j?
-1, -2/7, 122
Suppose l**5/3 + 106*l**4 + 34325*l**3/3 + 1321112*l**2/3 + 2303808*l + 5624320/3 = 0. What is l?
-104, -5, -1
Let u**3 + 5*u**2 + 4*u = 0. Calculate u.
-4, -1, 0
Determine n so that 3*n**3 + 393*n**2 - 1206*n = 0.
-134, 0, 3
Factor -3*m**3 + 1167*m**2 + 2346*m.
-3*m*(m - 391)*(m + 2)
Factor 3*q**4 - 6*q**3 - 15*q**2 + 18*q.
3*q*(q - 3)*(q - 1)*(q + 2)
Factor s**3/3 - 211*s/3 + 70.
(s - 14)*(s - 1)*(s + 15)/3
Suppose 4*t**4/5 + 49*t**3/5 - 8*t**2 - 13*t/5 = 0. What is t?
-13, -1/4, 0, 1
Factor -2*v**2/3 - 160*v/3 - 3200/3.
-2*(v + 40)**2/3
Suppose -5*d**5/4 + 55*d**4/4 - 85*d**3/2 + 115*d**2/2 - 145*d/4 + 35/4 = 0. Calculate d.
1, 7
Let 3*j**4/7 - 15*j**3/7 - 3*j**2 + 15*j/7 + 18/7 = 0. What is j?
-1, 1, 6
What is j in -15*j**4/4 + 99*j**3/4 + 123*j**2 + 45*j = 0?
-3, -2/5, 0, 10
Factor -3*d**2/5 - 1278*d/5.
-3*d*(d + 426)/5
Find y, given that y**2 - 157*y - 318 = 0.
-2, 159
Factor 2*l**2/15 - 32*l/15 + 2.
2*(l - 15)*(l - 1)/15
Factor -f**4 + 7*f**3 - 6*f**2 - 28*f + 40.
-(f - 5)*(f - 2)**2*(f + 2)
Factor 2*u**3/5 + 4*u**2/5 - 2*u/5 - 4/5.
2*(u - 1)*(u + 1)*(u + 2)/5
Factor -4*f**2 + 13472*f - 11343424.
-4*(f - 1684)**2
Let 5*y**4/4 + 65*y**3/2 + 615*y**2/4 + 125*y/2 - 250 = 0. Calculate y.
-20, -5, -2, 1
Find y such that 2*y**2 + 32*y + 110 = 0.
-11, -5
Solve -u**5 - 17*u**4 + 2*u**3 + 34*u**2 - u - 17 = 0.
-17, -1, 1
Solve z**5/3 + 71*z**4/6 - 41*z**3/6 - 91*z**2/3 - 12*z = 0.
-36, -1, -1/2, 0, 2
Factor k**3/4 + 657*k**2 + 575532*k + 168055344.
(k + 876)**3/4
Factor 2*m**4 + 80*m**3 + 74*m**2 - 156*m.
2*m*(m - 1)*(m + 2)*(m + 39)
Suppose 5*o**5 + 70*o**4 + 135*o**3 - 370*o**2 - 440*o = 0. Calculate o.
-11, -4, -1, 0, 2
Determine g, given that 7*g**3/2 - 32*g**2 + 32*g = 0.
0, 8/7, 8
Factor -4*t**4 + 1976*t**3 - 246004*t**2 + 486096*t - 242064.
-4*(t - 246)**2*(t - 1)**2
Factor -4*m**4 + 116*m**3 - 1188*m**2 + 4860*m - 5832.
-4*(m - 9)**3*(m - 2)
Factor -2*y**3 + 8*y**2 - 6*y.
-2*y*(y - 3)*(y - 1)
Find c, given that 3*c**5 - 120*c**4 + 327*c**3 + 258*c**2 - 1356*c + 888 = 0.
-2, 1, 2, 37
Factor -2*q**2/9 + 38*q/9 - 4.
-2*(q - 18)*(q - 1)/9
Suppose -4*s**2/7 + 492*s/7 - 488/7 = 0. What is s?
1, 122
Factor n**3/2 - 12*n**2 - 55*n/2 + 39.
(n - 26)*(n - 1)*(n + 3)/2
Factor r**4/8 - 21*r**3/8 + 97*r**2/8 + 165*r/8 - 121/4.
(r - 11)**2*(r - 1)*(r + 2)/8
Determine d so that d**3 - 40*d**2 + 37*d + 78 = 0.
-1, 2, 39
Factor 2*o**2/3 - 2*o - 12.
2*(o - 6)*(o + 3)/3
Determine h, given that -70*h**2/3 + 58*h/3 + 4 = 0.
-6/35, 1
Factor -2*i**2/17 + 28*i/17 - 98/17.
-2*(i - 7)**2/17
Solve 21*c**5 - 387*c**4 + 2061*c**3 - 3921*c**2 + 1170*c + 2376 = 0 for c.
-4/7, 2, 3, 11
Factor s**2/2 + 325*s.
s*(s + 650)/2
Factor 5*c**2/4 + 235*c/4 + 925/2.
5*(c + 10)*(c + 37)/4
Factor | {
"pile_set_name": "DM Mathematics"
} |
r?
9
Let v be (2 + -5 + (2 - 0))*-15. Let a = v - -13. What is the units digit of a?
8
What is the tens digit of (150 - (-15 - -7))/(4/10)?
9
Let q(d) = d**2 - 8*d + 1. Let a be q(10). What is the tens digit of 1/(85/a - 4)?
2
Let k = -449 + 638. What is the tens digit of k?
8
Let s(w) = 55*w - 12. Suppose 19 = 5*y + h, 4*y = 2*h - h + 8. What is the units digit of s(y)?
3
Let w(q) = -72*q**3 - q**2 + q + 1. Let y be 9 - 17 - (0 + -3). Let l(d) = -d**3 - 5*d**2 - d - 6. Let r be l(y). What is the units digit of w(r)?
1
Let s(r) = 86*r**3 - 3*r**2 - 3*r - 2. Let k be s(-2). Let p be k/15 - 2/(-5). Let v = -28 - p. What is the units digit of v?
8
Let c be (1 - 4) + 2 + 3. Suppose -5*x + 4 - c = -2*m, -20 = -5*x. Suppose 3*a + 162 = m*a. What is the tens digit of a?
2
Let a = 604 + -394. What is the hundreds digit of a?
2
Let o(z) = z + 17. Let q be o(-15). Suppose 2*a = -5*v + 20, q = -2*a - 3*v + 14. Suppose 6*d - 2*d - 156 = a. What is the units digit of d?
9
Let k(f) = 10*f - 1. Let n be k(1). What is the tens digit of n/6*392/12?
4
Suppose -7*v = -2*v - 15. Suppose -3 = -5*q - v*w, 1 + 0 = -5*q - 4*w. Suppose 4*m - 52 = -4*t, -2*t + q*m = 4*m - 30. What is the units digit of t?
7
Suppose 0*x = x - n - 15, -n = -2*x + 29. What is the tens digit of (-2)/(-7) - (-1032)/x?
7
Suppose 3*m - 1036 = -4*u, 5*m + 4*u = u + 1712. What is the units digit of m?
0
Let m be 6/(-24) - (2 - 2187/12). Let n = 337 - m. What is the units digit of n?
7
Suppose -23*h = -26*h + 63. Suppose -h*t + 13*t + 1664 = 0. What is the hundreds digit of t?
2
Let y(o) = o + 5. Let u = -5 - -10. Suppose 48 = u*i - i. What is the tens digit of y(i)?
1
Let g(s) = 7*s**2 - 10*s - 16. What is the tens digit of g(-6)?
9
Suppose 3*w - 3 = -0. Suppose 0 = 3*h + 4*g + w, 0 = h - 5*h - 5*g. Suppose h*p - 4 = 3*p. What is the units digit of p?
2
Suppose -4*r + 3*m + 341 = 0, r + 3*m - 7*m - 82 = 0. What is the tens digit of r?
8
What is the tens digit of -1*(-1 - 2) - (149 - 252)?
0
Suppose -5*q + 285 + 1060 = -5*a, 0 = 4*q + 5*a - 1031. What is the hundreds digit of q?
2
Let q = -35 - 105. What is the tens digit of q/(-84)*(90 + 0)?
5
Let f(v) = 16*v**2 + 39*v + 50. What is the units digit of f(-14)?
0
What is the units digit of (-6510)/105*-14*1?
8
Suppose -3*j + 7*j + 4*z + 40 = 0, 0 = 5*j - z + 26. Let u(r) = r**2 + 2*r. What is the tens digit of u(j)?
2
What is the tens digit of 2*((-3141)/(-2))/9?
4
Suppose 4*b - v = -5*v + 88, 30 = b - v. Let y be -2 + 2 + -3 + b. Suppose -82 - y = -5*p. What is the tens digit of p?
2
Suppose 0*z = -z. Let r = -10 + z. What is the units digit of (-1 - r/4)*10?
5
What is the thousands digit of 1732 - (-2)/1 - (122 + -126)?
1
What is the hundreds digit of (1619 - 27)*(-2)/(-4)?
7
Let v = -560 + 187. Let i = v - -604. What is the units digit of i?
1
Let l = 2209 - 923. What is the thousands digit of l?
1
Let z(r) = 3*r + 3. Let f be z(2). Suppose f*q - 370 = 4*q. Suppose 22 + q = 3*l. What is the tens digit of l?
3
Suppose -2*t + 8 = 0, -2*t + 692 + 2622 = r. What is the hundreds digit of r?
3
Suppose 3*u - 4166 = d, -17*d + 13*d - 6948 = -5*u. What is the hundreds digit of u?
3
Suppose 0 = 5*i, -l = -5*i + 2*i - 3. What is the units digit of ((-1)/l)/((-12)/1044)?
9
Let q(p) = -p + 9. Let a be q(12). Let s be -1*(-8 + a) - 3. Suppose y + s - 25 = 0. What is the units digit of y?
7
Let l(n) = -13*n - 5 + 8*n - 4*n**2 - 17 + 5*n**2. What is the units digit of l(10)?
8
Let p(j) = -3*j - 16. Let t be p(-13). Let w = t - 20. Suppose -2*v = -w*v + 49. What is the tens digit of v?
4
Suppose 2*m - 14 = -4. Suppose m*p - 9*p = -260. What is the tens digit of p?
6
Suppose -13 = -4*o + 11. Suppose -15 = -o*y + 3. What is the units digit of 848/24*y/2?
3
What is the tens digit of (-278)/(((-12)/2)/12)?
5
Suppose -3*x + 0 + 3 = 0. What is the tens digit of x*(3 + -6) - -18?
1
Let m(f) = -2*f + 4. Let z be m(2). Let x = z + 4. Suppose 0 = -0*o + x*o - 148. What is the tens digit of o?
3
Suppose -35910 = -90*u + 48600. What is the hundreds digit of u?
9
Let h(u) = -u**2 + 13*u - 7. Let v be h(10). Let s = 86 - v. What is the units digit of s?
3
Suppose 34 = 5*l - 276. Suppose 5*j - 76 = -4*c, 0 = -3*c - 7*j + 2*j + l. Suppose 6 + c = 2*b. What is the tens digit of b?
1
Let g be (-132)/(-24) - (-6)/(-4). What is the tens digit of 16/12*186/g?
6
Let n = 17 - 13. Let l be (6 + 12)*2/n. Let c = 15 - l. What is the units digit of c?
6
Suppose -4*c - 3*c = -63. What is the tens digit of ((-3)/(c/76))/((-42)/126)?
7
Let r be (-1726)/10 + 2/(-5). Let g = -47 - r. What is the units digit of g?
6
Suppose -j + 0*j = -13. Let c be (-4)/(-2) - (-120)/8. Let d = c + j. What is the tens digit of d?
3
Suppose -1067 = -2*k + 11. What is the units digit of k?
9
Let y = -16 + 378. What is the units digit of y?
2
Let d be -6*1/2 + 0. What is the units digit of (2/6)/(d/(-9))?
1
Suppose 10 = 4*a - 2*p, p - 38 + 13 = -4*a. Suppose 4*c = 3*k + 12, a*c - 6*c = -2*k + 2. Suppose -t + 22 = -c. What is the units digit of t?
8
Let a = -1103 + 1581. What is the units digit of a?
8
Let n be 3/5 + 972/(-45). Let f = 61 + n. What is the units digit of (f/30)/((-1)/(-21))?
8
Suppose 10 = -2*o - 26. What is the tens digit of (-3 - 222)/(o/4 - -3)?
5
Let n be 1 + -1 + 0 - (8 + -11). Suppose -n*c = c - 380. What is the units digit of c?
5
Suppose 3*x + 418 = -2*m, -2*m = 6 - 8. Let h = x - -345. What is the units digit of h?
5
Let r be (-2115)/20 + (0 - 1)/4. Let q = r - -229. What is the tens digit of q?
2
Let g be 1/(-1)*(1 + -2). Suppose 4*i - g = -4*x + 3, 3*i - 9 = -5*x. Suppose x*s + 3 = 0, -u + 4*s + 17 = -14. What is the tens digit of u?
2
Suppose 270 = -17*o + 7512. What is the units digit of o?
6
Suppose -4*s - 2*n = 28, -3*s + 4*n - 14 = 2*n. What is the units digit of s/15*425/(-10)?
7
Suppose -17*q = 8*q - 45125. What is the units digit of q?
5
Suppose 2*p + 181 = j, 0 = 3*p + 3*j - 16 + 301. Let u = p + 204. What is the units digit of u?
2
Let t(k) = 4*k**2 - 21*k + 14. What is the tens digit of t(12)?
3
Let b = 6779 - 4293. What is the thousands digit of b?
2
Suppose -5*y = -20 + 5. Suppose 4 = 5*j - j, y*w + j = 175. What is the units digit of w?
8
What is the hundreds digit of ((-1)/(-2))/(7/2212)?
1
Let k(z) = 4*z**3 - 2*z + 1. Let c be 5*(22/10 - 2). Let m be k(c). Suppose n = 5*b + 13, -2*n + m*n - 11 = 4*b. What is the units digit of n?
3
Let b = -3843 - -6097. What is the hundreds digit of b?
2
Let g(v) = -4*v - 38. Let n be g(-13). Let j = 50 - n. What is the units digit of j?
6
Let c(b) = b**2 + 7*b + 19. Let a(o) = -o + 1. Let u(q) = -2*a(q) + c(q). Let d be u(-8). What is the tens digit of 378/d + 1*-3?
3
Let g = -349 - -509. What is the tens digit of g?
6
Suppose 60 = 6*p + 18. Let t(b) = 5*b**2 - 21*b - 8. What is the units digit of t(p)?
0
Suppose 2*z - 3*z + 48 = -4*q, -228 = -4*z + 4*q. Suppose z = -x + 3*x. What is the tens digit of 624/x - 1/(-5)?
2
Suppose -18 - 7 = 5*z. Let a be (-2)/z - (-6897)/95. Suppose -6*j = 1 - a. What is the units digit of j?
2
Suppose -2*g = -l + 4, -l - 2*g = -7*g - 10. Suppose -n + 59 + 25 = l. What is the tens digit of n?
8
Suppose 0 = 14*o + 11*o - 18475. What is the units digit of o?
9
Let d(q) = -q**3 + 16*q**2 + 35. What is the tens digit of d(15)?
6
Let h be 2/(-13) - ((-284)/(-13) - 2). Let c = h + 45. What is the units digit of c?
5
Let x(j) = j**2 - 4*j + 5. Let w be x(4). Suppose l - 4*n = -6, -n = -w*l + n - 30. What is the units digit of (-1)/(-1) - (-9 - l)?
4
What is the units digit of 1/9 + 5/(135/42198)?
3
Suppose 0 = -4*x + 2*x + 4. Let o(l) = -3*l + 2. Let n be o(x). Let a = n - -8. What is the units digit of a?
4
Let j(u) = -2*u**2 - 4*u - 6. Let p be j(-3). What is the units digit of ((-84)/(-8))/((-9)/p)?
4
Let k = -138 - -197. Let d = k - 36. What is the units digit of d?
3
What is the tens digit of 7 + -16 + -4 + 2189?
7
Let w(s) = -s**3 + 10*s**2 + 23*s + 17. Let o be w(12). Suppose 247 - 22 = o*t. What is the tens digit of (-418)/(-18) - 10/t?
2
Suppose -2*t + 7*t - 415 = 2*a, -t = -4*a - 83. Let x = 117 - t. What is the tens digit of x?
3
Let w(a) = 2*a**2 - 6*a + 5. Let q be w(3). Suppose n - q*n + 11 = c, c = -n - 1. What is the units digit of n?
4
Let f = 17 - -12. Let s = f + -18. Let u = 23 - s. What | {
"pile_set_name": "DM Mathematics"
} |
st to 0.19? (a) -0.11 (b) -2 (c) h (d) 2
a
Let u = -12.652 + 13.7171. Let q = -3.8919 - u. Let s = 0.043 - q. Which is the nearest to 2? (a) s (b) -2 (c) 3
c
Suppose -4*c = -4*f - 30 - 2, c + 17 = -4*f. What is the nearest to -1 in c, -29, 2?
2
Let f = 18374.9 - 18378. What is the nearest to -1/6 in 1/3, f, 8?
1/3
Let o be -6*(-1 + -1) + (-968)/88. Let x = 2.3 - 2. Let z = x + -0.4. What is the closest to z in 2/5, o, 5?
2/5
Let p be (30 - 23 - 8)*(-74)/(-7). Which is the closest to 11? (a) p (b) 0.3 (c) 5 (d) 2/7
c
Let d = -0.03315 + -0.46685. Let f = 1.3 + -2.3. Which is the nearest to 0.05? (a) d (b) f (c) -1/3
c
Let d(u) = -29*u**2. Let g be d(1). Let p be 6 + -4 - (-61)/g. Let l = -41/116 - p. Which is the nearest to 1/3? (a) l (b) 1 (c) 3
a
Let j(q) = 7*q**2 - 6*q - 3. Let s be j(-3). Suppose 2*m + s = 80. Let n be (-44)/(-28) - (33/21 - m). Which is the nearest to 1/2? (a) n (b) 0.4 (c) 4
b
Let x = -0.0512 + 287.9512. Let d = 288 - x. Let t be (1 - 3)*(-4)/(-6). Which is the closest to d? (a) -0.4 (b) 4 (c) t
a
Let q = -252.664 + -0.336. Let y = -253.24 - q. What is the nearest to 2 in -5, y, -2?
y
Let u = 2.1 + -2. Let f be -23 + 7366/319 - 13/(-99). Let h = 10 + -10. Which is the closest to -2? (a) h (b) u (c) f
a
Let r = -0.08551 + -0.91449. What is the nearest to -6 in -0.01, r, -5, 1/5?
-5
Let l = 76.7 + -77. Let j = -3.983 + -0.017. Let i = 5 + j. Which is the closest to i? (a) l (b) 4 (c) -6
a
Let v = 1246.5 + -769. Let m = v + -467.528. Let z = m + 0.028. Which is the closest to z? (a) 2 (b) -0.2 (c) -6
a
Let k = -0.4 + 0. Let p = 26911 - 26912. Which is the closest to p? (a) k (b) 0 (c) -0.26
a
Let h = 1610 + -3227/2. What is the closest to h in -0.5, -1/6, -0.3, -1?
-1
Let k = -0.589982 + 0.989982. Let g = 10 + -14. What is the nearest to -1/4 in 3/11, g, k?
3/11
Let x = 25 + -24.6. Let g be 1846/(-616) - (-4)/(-22). Let v = -24/7 - g. What is the nearest to -1 in v, -1/11, x?
v
Suppose -1679*h + 1681*h = 36. Let i be (-12)/h + ((-213)/45 - -5). Which is the nearest to 0? (a) i (b) 4 (c) -26
a
Let l = -1 - -1.65. Let o be 3/9 + 2/12. Which is the nearest to l? (a) 3 (b) o (c) 4
b
Let a be ((-4)/6)/(8/132). Let m = 13 + a. Let f be m/(-3)*81/(-135). What is the closest to -1/6 in f, 1/5, -5?
1/5
Let i = -13357/15 + 4459/5. What is the nearest to -1 in 16, i, -1?
-1
Suppose 36*w + 425 = -49*w. Which is the closest to -1? (a) 1/3 (b) 12 (c) -2 (d) w
c
Let p = 0.0414 + -4.0414. Let d be 2/((-15)/(-6) + -5). Let j = 0.3 + -0.2. Which is the nearest to j? (a) d (b) p (c) 6
a
Let f be 5/(3/(-6)*(-38 - -43)). Which is the closest to 16? (a) f (b) 2/19 (c) -0.5 (d) 2/13
d
Let i = -4.7 - -0.5. Let h = 4.1 + i. Suppose 3*q - 12*q = 3*q. What is the closest to h in q, 3, -1?
q
Let m = 4359 + -4357. Let d = 4.7 + -0.7. Which is the nearest to m? (a) d (b) 0.5 (c) 2
c
Let y(c) = -18*c**2 - 6*c + 1. Let q be y(-1). What is the closest to q in -6, -1/6, -4/9, 2?
-6
Let l = -21119 + 21111. Let u = 0.5 - 0. What is the closest to 0.1 in l, -4, -2/11, u?
-2/11
Let c be ((-4)/22)/((-23800)/18700). Let x = -7.1 - -1.1. What is the nearest to -1 in 3, x, 0.09, c?
0.09
Let i = 1491 - 1486. Let n = 103 + -103. What is the closest to 1 in n, -1, -5, i?
n
Let s = -76/21 - -10/3. Which is the nearest to 0? (a) 5 (b) s (c) 0.5 (d) -22
b
Suppose 2*d + 2*n - 5*n + 19 = 0, -3*n = 5*d + 79. Let y = -30 + 35. Let s = 24.9 - 24.8. Which is the nearest to s? (a) y (b) 0.3 (c) d
b
Let o be -3*(-12)/9 + (-20)/6. Let q = -0.06 - 25.94. Let b = 25.9 + q. What is the closest to b in -5, 1, o?
o
Let h = 5395.7 - 5396. Which is the closest to -1? (a) h (b) 1 (c) -314
a
Let t = 593249/156 + -11405/3. Let r = t - -1/26. Let k = -2 + 2.2. Which is the closest to k? (a) -2/13 (b) r (c) 1/5
c
Let u(o) = -o**2 + 5*o + 40. Let w be u(-5). Let k be 2/2 + 0 + (-7 - w). Which is the closest to -2/5? (a) k (b) -10/9 (c) 2/5
b
Let j = 105.1 - 105.2. What is the nearest to 1 in 1/25, 0.06, j, 0.1?
0.1
Let o = -137/56 + 65/28. What is the closest to -1.9 in 5, -0.8, o, -5?
-0.8
Let k = -77 + 74. Let u = -54.75 + 56. Let o = 1.15 - u. What is the closest to o in k, 0.3, 1?
0.3
Let y be 21/(-12)*(-18)/21. Let f = 12 - 10. Let g = -0.07 - 0.03. Which is the closest to g? (a) y (b) 0 (c) f
b
Let x = -223 - -222.9. Let k be ((-33)/(-154))/((-2)/4). Which is the nearest to x? (a) 2 (b) 4 (c) k
c
Let x = 0.0049 + 37.6951. Let m = x + -38.1. What is the closest to -1 in -0.2, m, -131?
m
Let k = 2/91 + -212/1365. Suppose -18*g + 8*g + 1120 = 0. Let m = 111 - g. What is the closest to k in m, -1/7, -2?
-1/7
Let d = 0.1731 - 0.4731. Which is the closest to d? (a) 146 (b) 2 (c) -3
b
Suppose 0 = 11*g - 7*g + 4, 59 = 4*m - 3*g. Let h be (-4)/m - -12*5/70. Which is the nearest to 0? (a) 0.3 (b) 0.02 (c) 1/20 (d) h
b
Let q be 30/36 + 2134/(-165) + 12. Which is the closest to 1/4? (a) q (b) -5/11 (c) 4
a
Let j = -14.33 + 16.5. Let s = j - -0.83. Let o = -2.8 + 3. What is the nearest to 1/4 in o, -3, s?
o
Let v = 0.34 + -0.34. Let x(l) = l**3 - 35*l**2 - 34*l - 67. Let a be x(36). What is the nearest to -2 in v, a, 2, 2/7?
v
Let h = -95.7 - -27.8. Let t = h - -68. Suppose -2*o - 4*d = 20, -3*d - 5 = 4*o + 10. Which is the nearest to o? (a) t (b) 2 (c) 3
a
Suppose 27*r = -34*r + 34*r. Which is the closest to r? (a) 0.2 (b) 1/6 (c) -6/37
c
Let q = -537/14 - -2727/70. What is the closest to -1/3 in 0.0367, q, 5?
0.0367
Let i = 0.13 + -5.13. Let x be 12/15*5/3. Let u = -7 + 20/3. What is the closest to -2 in u, i, x?
u
Let i be 8/(-3) - (-4838)/984 - 2. Let r = -10 + 4. What is the closest to 3 in r, i, 4?
4
Let v = 1.2 - -3.8. Suppose -4*m = 3*c + 31, 1573 = -4*c + 4*m + 1597. What is the nearest to c in -2/5, -0.26, v, -5?
-2/5
Let f = 0.04 - 3.04. Let m = f + 5. Let a = -1311656 - -1311656. What is the closest to a in 1/3, m, 3?
1/3
Suppose 0 = 20*f - 17*f. Suppose 5*u = -6*b + 2*b + 13, 2*u - 2*b - 16 = f. What is the closest to 1 in u, 4, 3?
3
Let f = 10 - 14. Let c = 11517 + -103655/9. What is the nearest to c in f, -1, -3?
-1
Let o = 11.4 + -11.9. Let d = 12.83 - 12.33. What is the closest to -0.131 in 0, d, o?
0
Let u = 3019 + -3018. What is the closest to 42 in -0.1, u, -0.2, 6?
6
Let i(l) = -l**2 - 11*l - 4. Let f be i(-10). Let p = f - 5. Let m = 5280 + -5280.3. Which is the closest to -4? (a) -2 (b) m (c) p
a
Let p = 6663 + -6570. What is the closest to 0 in p, -2/5, -5, 3?
-2/5
Let g = -4595.086 - -4595. Let p = -0.026 + 0.24. Let o = g - p. What is the closest to 1 in o, -0.4, -0.9?
o
Let a(j) = 4*j**3 - 23*j**2 - 6*j. Let d be a(6). Let u(s) = 77*s + 1. Let m be u(d). What is the closest to 5 in 1/5, m, -3, 3?
3
Let w = -0.4417958 + 0.0417958. Let v = -5.3 + 5. Let h = -0.2 - v. Which is the closest to h? (a) -3/2 (b) -5 (c) w
c
Let u = -9.5 - -10. Let s = 0.940809 - -0.059191. Which is the nearest to s? (a) 1 (b) u (c) 157
a
Suppose -76*i - 4*g + 30 = -79*i, -4*i = g + 2. Which is the closest to 0? (a) 219 (b) -3 (c) i
c
Let k be ((-12)/30)/(7/5). Let p = 260/399 + 2/133. Which is the nearest to p? (a) -3/5 (b) k (c) 2/3
c
Let w be 0/(-14) - 14 - 636/(-45). Let f(q) = -q - 2. Let x be f(-6). Which is the closest to w? (a) 0 (b) x (c) 5
a
Let m be (-51)/(-2)*(-46)/69. Let x be (15/24)/((-15)/20). Which is the closest to -1? (a) -1 (b) x (c) m
a
Let l = -3/331414 + -994221/2319898. Let g = 5 + -8. What is the nearest to 0 in 7, -0.8, g, l?
l
Let v = 1155 - 8081/7. What is the nearest to v in 5, 0.3, -0.2, -17?
0.3
Let l = -141.35 - -3.35. Let q = l + 138.2. Which is the nearest to -1/6? (a) 3/2 (b) q (c) 2/9
b
Let x = -5 - -7. Let z = -0.04409 + 4.04409. Suppose -8 = 5*u + 2. Which is the nearest to x? (a) 2 (b) u (c) z
a
Suppose 0 = 587*s - 323*s - 9 - 255. Let n be (-7)/12 + (-3)/(-9). Which is the nearest to s? (a) 1 (b) n (c) 1/2
a
Let s = -3 + 3.1. Let k = 6.4891 - 5.4891. Which is the closest to s? (a) 0.3 (b) -0.008 (c) k
b
Suppose 0 = -399*f + 384*f + 45. Let n = -849/250 - 1/250. Let x = n - -163/45. Which is the closest to f? (a) 3 (b) 0.4 (c) x
a
Let u = -0.7537 + 0.7537. Let x = 32/3 - 11. What is the closest to -2/11 in -1/9, u, x?
-1/9
Let l(v) | {
"pile_set_name": "DM Mathematics"
} |
e 3 = x + q for x.
-3
Let f(i) = i**2 + 23*i + 42. Let h be f(-2). Solve h = 3*m + 160 - 172 for m.
4
Let b(l) = l + 7. Let f be ((-3)/(-9))/((-1)/3) + -6. Let a be b(f). Solve 0 = 4*v - a*v - 4 for v.
1
Let w be 1 + 0 - (-35)/5. Suppose -19*f = -8*f - 22. Solve w - f = -3*z for z.
-2
Let y = -18 - -24. Suppose -5*g - 4*w = -41, -w - y = -g - g. Let k(d) = d**2 + 8*d - 9. Let l be k(-9). Solve l*o - g = -5*o for o.
1
Let j(m) = m**3 + m**2 - 2*m + 9. Let r be j(0). Suppose -102 = -2*n - n. Suppose r - n = -5*t. Solve 12 = -t*b - 3 for b.
-3
Suppose 5*q + 24 = 74. Suppose q*v = 6*v + 68. Solve -5 = 4*y - v for y.
3
Let j = -2323 - -2326. Suppose -4 = -2*g + g. Suppose g*c - 22 = -3*q + 8*c, -4*q - 12 = 5*c. Solve 0 = o + q*o - j for o.
1
Suppose -2*y + 14 = 2*p, -28 = 5*p + y - 83. Let u be (12/(-10))/(1/(-5)). Solve u*r = 2*r - p for r.
-3
Suppose 6*s = 9*s. Suppose 0*m = 5*q + 5*m, s = 4*q + 3*m - 5. Solve 11 - 31 = -q*k for k.
4
Suppose -5*r = 11*r. Solve 6*p + 6 + 0 = r for p.
-1
Suppose -3*w - 2*n = -2, -5*w + 5*n + 29 = -4*w. Suppose 4*v - 20 = 2*d, -10*v + 9*v = -5. Solve d = g + w + 1 for g.
-5
Suppose p - 20 - 10 = 0. Suppose q + 3*q = 2*w - 28, -p = -2*w + 5*q. Solve 5 + w = 5*j for j.
3
Suppose 1 + 2 = 2*j - u, 3*u - 1 = -4*j. Let m be (5 - 3)*(j - -1). Suppose 1 = -m*t - 3*v + 14, 7 = 3*t + 5*v. Solve -1 - 3 = t*z for z.
-1
Let t be (-10)/14 + (-285)/(-7). Solve v - t = -44 for v.
-4
Suppose -62*n + 96 = -56*n. Solve 4*d + n = -4 for d.
-5
Let w = 418 - 414. Solve -j + 1 = w for j.
-3
Let l be (0*(-5)/(-15))/1. Solve -4*q - 66 + 62 = l for q.
-1
Let w = -113 - -212. Let y be w/6 + -1*(-1)/(-2). Solve -4*q - y = -0 for q.
-4
Let h = 652 - 642. Solve h*q + 13 + 27 = 0 for q.
-4
Suppose -208*u + 199*u = -45. Suppose 5*i - 8 = p, 0 = p - 4*i - 1 + 6. Solve 2*d + u = p*d for d.
1
Let n(c) = -c**3 - 2*c**2 + 4*c + 7. Suppose -1 = 2*m - 5*y, 5*m = -3*y - 10 - 8. Let x be n(m). Solve -u - 15 = x*u for u.
-3
Let r = 586 - 582. Solve -3*h = -5*h + r*h for h.
0
Let m = 67 - 62. Suppose 7*j + 3*z + 15 = 10*j, m*j = z + 17. Solve -2*t + j*t = 3 for t.
3
Let n(m) be the first derivative of m**4/4 - m**3/3 - 4*m**2 + 9*m - 1. Let j be n(4). Solve 6*k - k = j for k.
5
Let o(c) = 5*c + 1 - 2*c + 12 - 8 + c**2. Let z be o(-5). Let x = -12 + z. Solve x*n + 10 = 8*n for n.
2
Suppose -1165 + 255 = -13*r. Solve -5*i + r = 75 for i.
-1
Let x be 2/3*3*35/14. Solve -x*o - 25 = -5 for o.
-4
Let t(o) = -6*o - 30. Let b be t(-14). Suppose b*g - 51*g - 3 = 0. Solve -2 + g = p for p.
-1
Let t be -2*(0 - (-1 - -2)). Let x be 17 + 1/2*-2*2. Suppose 2*r + 7 = -0*r - 5*s, 0 = 5*s + x. Solve 2*b = -t*b - r for b.
-1
Suppose -n = 3*h - 124, -2*h - n = -0*h - 84. Suppose 3*f - h = 2*c - 7*c, -c = -4*f + 15. Solve 0*t = f*t for t.
0
Let r be (88/(-40))/11*0. Let t = -6 - -8. Suppose t*u - 15 = -u. Solve r*s - u*s = -15 for s.
3
Let p = 558 - 554. Solve p*m - 15 = 7*m for m.
-5
Let c be (-5)/(20/(-52)) - (1 + 2). Solve -11*w + c = -6*w for w.
2
Let p(a) = -16*a - 15*a + 42*a - a**2 - 13*a + 3. Let z = 1 + -3. Let r be p(z). Solve 0*h = -r*h for h.
0
Let l = -855 + 859. Solve 0*w - l*w = 4 for w.
-1
Let k = -77 - -87. Solve -2*b = -4*b - k for b.
-5
Suppose g - 30*w + 26*w - 44 = 0, -3*g = -2*w - 92. Solve g = -19*t + 12*t for t.
-4
Suppose 7*w - 4*w = 18. Let o(v) = v + 3. Let u be o(w). Suppose 5*r + l = -4, -4*r - 25 = 4*l - u. Solve -5 + r = -b for b.
5
Let l(m) = -m**2 + 13*m - 14. Let u be l(6). Let c = u + -28. Solve c = -3*h + 2 - 17 for h.
-5
Let n(t) = t**2 - 10*t - 191. Let u be n(20). Solve -2 = 11*l + u for l.
-1
Let s be ((-22)/4)/((-21)/84). Solve -s = -2*a - 32 for a.
-5
Suppose -12 = 5*c - 92. Let g(u) = 2*u + 2. Let w be g(-3). Let f(m) = -m**3 - 4*m**2 - 2*m - 3. Let k be f(w). Solve 1 = -k*n + c for n.
3
Let t = -9 - -9. Suppose -12 = 2*z - 4*k, t*z = 4*z - k - 4. Solve -z - 3 = d for d.
-5
Let x be ((-1)/(-3))/(1/9). Let h = 3 + -1. Suppose 0 = -4*a - h*s + 46, -2*s = 2*a + 4 - 30. Solve x*o = -a + 1 for o.
-3
Suppose 8*b = 9*b - 2. Suppose -x = 2*a + 3, 8*a - 3*a + 9 = -b*x. Let d be (-16)/x*30/(-20). Solve 2*z - 2 = -d for z.
-3
Suppose -s + 8 = 7*i - 5*i, 4*i = -4*s + 16. Solve 0 = 5*t - s*t + 20 for t.
-4
Let h(m) = m**3 + 10*m**2 + 2*m + 20. Suppose 6 = a - 4*y, -2*y - 15 + 47 = -4*a. Let c be h(a). Solve -2*b - 1 - 1 = c for b.
-1
Let i be 8/(96/(-126))*(-4)/(-3). Let m be (-3 - -1) + (5 - i). Solve -2 + m = 3*t for t.
5
Let s = -1116 + 1141. Let u = 4 + -1. Solve 0 = -u*f - 2*f + s for f.
5
Let d be (4 + -1)/(6/8). Suppose 0 = 4*f - x + 275, -3*x = -f + 2*x - 83. Let m = -68 - f. Solve m = -2*o - d for o.
-2
Suppose 5*u = -4*a, -2*a + u + 8 = -6. Suppose 2*d - 20 = -3*w, -w + 5 = a*d - 6. Solve -b - 25 = -w*b for b.
5
Let n be (122/(-8))/((147/140)/(-21)). Solve 2*l - 299 = -n for l.
-3
Let o = -54 - -48. Let y be o/(-4) - (-10)/(-20). Solve 0*l = -l + y for l.
1
Let b = -10 - -14. Suppose s = b*s. Let h(k) = k**3 + k**2 - k + 3. Let t be h(s). Solve -12 = t*u + u for u.
-3
Suppose 2*v = d - 4, 3*d - v - 4*v - 11 = 0. Suppose 6 = -y - 2*b, -4*y + 6 = -y - d*b. Solve y = 2*s - 0 - 10 for s.
5
Suppose 12 = -16*v + 20*v. Solve -v - 2 = -5*a for a.
1
Suppose o - 5*o - 3*b + 49 = 0, -4*o + 3*b = -31. Suppose o*z = 3*z + 35. Solve -10*s + 15 = -z*s for s.
3
Let n be 2*(-2)/8*-110. Suppose -3*b - 13 + n = 0. Suppose 0 = -12*r + 5*r + b. Solve -12 = -5*i + r*i for i.
4
Suppose -5*b - 2*x = -640 + 65, 5*x = 2*b - 230. Let q = 115 - b. Solve -2*z + 4*z - 6 = q for z.
3
Let s(z) = 2*z**2 + 1. Let k be s(0). Suppose 17 = 3*v - k. Let r be v/2 - (3 + -1). Solve 3*n - 2 = r for n.
1
Let u(q) = -q**2 + 5*q - 4. Let m be u(4). Solve m = 3*c - 2*c + 5 for c.
-5
Let w = -765 - -793. Solve -23*i + w - 5 = 0 for i.
1
Suppose 3*l - 69 = s, -129 + 28 = s + 5*l. Let i be (-3)/15 - s/5. Suppose 3*j - 6 = -4*p - 13, -9 = j + 3*p. Solve -y - j*y = i for y.
-4
Let r = 12 + -9. Suppose 14 = 6*j - r*j + 5*a, 0 = 5*j + 2*a - 17. Solve 2*p = -j*p for p.
0
Let a be (-85)/(-25) - 4/10. Suppose -6 + a = -q. Suppose -d = -2, 5*y = q*d + 5 - 1. Solve 0 = -0*r - y*r + 2 for r.
1
Suppose 6*l = 3*q + 4*l + 5, 0 = -5*q + l + 1. Let t(o) = 2*o**2 - 6*o + 7. Let m be t(q). Solve m*r - 6 = 9 for r.
5
Suppose -68*i - 20 = -69*i. Let m(g) = -g + 11. Suppose -2 + 35 = 3*l. Let z be m(l). Solve 5*q + i = -z*q for q.
-4
Let b be ((-6)/(-10))/(16/80). Let z(r) = 2*r + 10*r**2 - 19*r**2 + 10*r**2 + 8 - 11*r. Let u be z(8). Solve 6*s - b*s = u for s.
0
Let a be -5*(2 + (-25)/5). Solve 16*l - a*l = -4 for l.
-4
Suppose 41*c - 39*c - 10 = 0. Solve c*i - 4*i = 4 for i.
4
Let u = 32 - 38. Let d(x) = -x**3 - 6*x**2 + 2. Let q be d(u). Let y = 4 + -3. Solve c + q + y = 0 for c.
-3
Suppose -11 = -4*b - 3. Suppose 0 = 4*m + b*i, 6*m - 3*i - 18 = 3*m. Solve -z - 6 = m*z for z.
-2
Let b(c) = -48*c - 521. Let v be b(-11). Let h(d) = -2*d - 2. Let f be h(-4). Solve 1 = f*l - v*l for l.
-1
Suppose -n = -3*r - 23 - 23, n = -2*r + 51. Let k = -49 + n. Solve 4*h = -k*h for h.
0
Let o be 44/121 + (-8)/22. Solve 34*s + 31 + 37 = o for s.
-2
Let a = -65 + 46. Let o be 19/7 + 3 + a/7. Solve 0 = -o*n - n for n.
0
Let s be -1 - 1 - (1 - 5). Let h(r) = -3 + s + 4 - r - 2. Let y be h(-1). Solve 4*o = -y - 6 for o.
-2
Let g be -2*(10/4 + 3). Let d = g + 8. Let l be d/(-12) + (-22)/(-8). Solve 14 + 1 = -l*a for a.
-5
Let a be (2 + (-1 - (-4)/(-4)))/1. Suppose 2*o = -a*o. Let h(s) = 4*s**2. Let x be h(-1). Solve 2*j - x*j - 4 = o for j.
-2
Suppose -3*b = -2*z - 2*b + 23, 0 = -3*z + 2*b + 37. Let x = -10 + z. Let u be (4/(-8)*0)/x. Solve -d + u = 1 for d.
-1
Let m = -6 + 12. Suppose -3 = m*q - 7*q. Suppose 3*h + 3 = 0, 2*x + 5*h = x - q. Solve 3*v + x = -7 for v.
-3
Let c = -33 + 37. Suppose 3*d + u = 6*u + 40, 4*u + 8 = 0. Suppose -d*f + 36 = -6*f. Solve -c*y = 3 + f for y.
-3
Let p(q) = -q**3 - 4*q**2 + 20*q + 1. Let o be p(-7). Solve 0 = -o*w + 6*w for w.
0
Suppose 0 = 11*x - 133 + 56. Solve 4*q + 11 = -x*q for q.
-1
Let y = -568 + 572. Solve -3*r = -7*r - y for r.
-1
Suppose 4*n - 18 = -g, 16*g + 22 = 4*n + 19*g. Solve n*o - 90 = -106 for o.
-4
Let w = 13 + -11. Suppose w*l = -l + 6. Let v be 0*(-2*1 - -1). Solve v = l*y - 4*y - 2 for y.
-1
Suppose -6*w + w = -40. Suppose w*n + 15 - 39 = 0. Solve 2*s + n = -3 for | {
"pile_set_name": "DM Mathematics"
} |
3060?
3393
What comes next: 1552, 7230, 16988, 30832, 48768?
70802
What is next in -3705605, -7411205, -11116805, -14822405, -18528005, -22233605?
-25939205
What is the next term in 132444, 529835, 1192152, 2119395, 3311564, 4768659, 6490680?
8477627
What comes next: 249117, 1992943, 6726185, 15943551, 31139749, 53809487?
85447473
What comes next: -29334116, -29334122, -29334132, -29334146, -29334164, -29334186?
-29334212
What comes next: -21987679, -87950711, -197889093, -351802825, -549691907?
-791556339
What comes next: 6918, 14082, 21164, 28164, 35082, 41918?
48672
What comes next: -406334464, -406334463, -406334462, -406334461, -406334460, -406334459?
-406334458
What is the next term in 3505424, 3505420, 3505416?
3505412
What is next in 67318, 65585, 63852, 62119, 60386, 58653?
56920
What is next in -4915688, -4915654, -4915620, -4915586?
-4915552
What is next in -49327, -99160, -149005, -198868, -248755, -298672?
-348625
What is the next term in -17014, -68170, -153450, -272854, -426382, -614034?
-835810
What comes next: 8090, 15247, 22420, 29615, 36838?
44095
What comes next: -20491, -31525, -42579, -53659, -64771, -75921, -87115, -98359?
-109659
What is the next term in 11941, 21958, 38653, 62026, 92077, 128806?
172213
What is next in -572867, -1145733, -1718599?
-2291465
What is next in -238042, -237960, -237742, -237322, -236634, -235612?
-234190
What is next in 8208253, 16416520, 24624787, 32833054, 41041321?
49249588
What comes next: -9261, -36650, -82167, -145812, -227585, -327486, -445515?
-581672
What comes next: -13063, -105337, -356001, -844315, -1649539, -2850933, -4527757, -6759271?
-9624735
What comes next: 131609, 131496, 131317, 131072?
130761
What comes next: 117747, 117760, 117779, 117804, 117835, 117872, 117915?
117964
What comes next: -91166, -183540, -275914, -368288?
-460662
What is the next term in -16210, -19768, -23326?
-26884
What comes next: 17537110, 35074222, 52611334?
70148446
What is the next term in -2227, -9520, -21759, -38944, -61075?
-88152
What comes next: -7342, -15644, -29480, -48850?
-73754
What is next in 11029, 22049, 33029, 43969, 54869?
65729
What comes next: 24182819, 48365646, 72548473, 96731300?
120914127
What comes next: -10780, -10604, -10426, -10246, -10064?
-9880
What comes next: -1750, -6938, -15490, -27328, -42374?
-60550
What is the next term in 1006883532, 2013767064, 3020650596, 4027534128?
5034417660
What is the next term in 4396, 7884, 11348, 14776, 18156, 21476, 24724?
27888
What comes next: -115212, -921769, -3110990, -7374207, -14402752, -24887957, -39521154, -58993675?
-83996852
What comes next: -640, -383, -126, 131?
388
What is the next term in 18450645, 36901284, 55351923, 73802562, 92253201, 110703840?
129154479
What is the next term in 566260, 566773, 567286, 567799, 568312?
568825
What is the next term in 156, 289, 504, 837, 1324, 2001, 2904, 4069?
5532
What is the next term in -10537, -10178, -9809, -9430?
-9041
What comes next: 9383, 10617, 11753, 12743, 13539, 14093, 14357, 14283?
13823
What is the next term in -379, -3432, -11711, -27826, -54387?
-94004
What comes next: 4403, 4163, 3761, 3197?
2471
What comes next: -455, -1273, -2473, -4055?
-6019
What is the next term in -5430, -4530, -3620, -2688, -1722, -710, 360, 1500?
2722
What is the next term in 1826755, 3653536, 5480317, 7307098, 9133879, 10960660?
12787441
What comes next: -13931, -27360, -40789, -54218, -67647?
-81076
What is the next term in 24634716, 49269423, 73904130?
98538837
What is the next term in 14, 294, 612, 968, 1362, 1794?
2264
What is next in -3131, 1834, 10107, 21688, 36577, 54774, 76279?
101092
What is the next term in 5843009, 11685914, 17528819, 23371724, 29214629, 35057534?
40900439
What is the next term in 3356, 154, -8530, -25438, -53312?
-94894
What is next in -22389, -44532, -66677, -88824, -110973, -133124, -155277?
-177432
What is next in -4676, -5407, -7388, -11243, -17596?
-27071
What is next in -876699, -876460, -876053, -875472, -874711, -873764, -872625, -871288?
-869747
What is next in 32644094, 32644096, 32644098?
32644100
What is the next term in 279445, 279454, 279463, 279472, 279481?
279490
What is next in 51315, 51358, 51401?
51444
What is next in -71211, -72280, -75173, -80802, -90079?
-103916
What comes next: -9009, -7811, -6613, -5415, -4217?
-3019
What comes next: -61007, -244166, -549423, -976778, -1526231, -2197782?
-2991431
What comes next: -9443, -7884, -6325?
-4766
What comes next: 7839600, 15679199, 23518798, 31358397?
39197996
What comes next: -52, -213, -356, -379, -180?
343
What comes next: 14954, 119615, 403700, 956921, 1868990?
3229619
What is the next term in -6135, -12003, -17871, -23739, -29607, -35475?
-41343
What is next in 62841, 63615, 64393, 65175, 65961, 66751?
67545
What is next in 184, 364, 756, 1354, 2152, 3144, 4324, 5686?
7224
What is next in -929, -2082, -3479, -5114, -6981, -9074, -11387, -13914?
-16649
What is next in 12212, 12338, 12562, 12890, 13328, 13882, 14558, 15362?
16300
What is next in 232080, 232069, 232044, 231999, 231928, 231825, 231684, 231499?
231264
What comes next: 1293230, 2586583, 3880062, 5173667, 6467398, 7761255?
9055238
What comes next: 411158, 1650690, 3716582, 6608840, 10327470?
14872478
What comes next: 49827, 49903, 49989, 50085?
50191
What is next in -1326, -2563, -3622, -4419, -4870?
-4891
What is next in 436, 202, -72, -404, -812, -1314, -1928, -2672?
-3564
What is next in -37366, -37346, -37314, -37270, -37214, -37146?
-37066
What comes next: 277150, 554517, 831886, 1109257, 1386630?
1664005
What is next in -19728, -17720, -15712?
-13704
What comes next: -3441, -3137, -2317, -723, 1903?
5819
What is the next term in -1966, -3708, -5216, -6490, -7530?
-8336
What comes next: -2498193, -2498180, -2498167, -2498154?
-2498141
What is next in 117352, 116970, 116588?
116206
What is next in 29843, 29889, 29935, 29981, 30027?
30073
What comes next: -320, -742, -1312, -2024, -2872?
-3850
What comes next: -152611809, -305223618, -457835427, -610447236?
-763059045
What is next in 380, 1064, 2068, 3398, 5060?
7060
What comes next: -31980830, -63961658, -95942486, -127923314?
-159904142
What is the next term in 223940, 447878, 671816, 895754, 1119692?
1343630
What comes next: -10280, -20693, -31106, -41513, -51908, -62285, -72638?
-82961
What is the next term in -9330, -18591, -27850, -37119, -46410, -55735, -65106?
-74535
What is next in -942, -973, -1070, -1269, -1606, -2117?
-2838
What is the next term in 51319, 51307, 51295, 51283, 51271, 51259?
51247
What is the next term in -409, -739, -769, -499, 71?
941
What is next in 442, 1173, 1850, 2455, 2970?
3377
What is next in 821929, 1643858, 2465787, 3287716, 4109645, 4931574?
5753503
What is next in -205578, -205492, -205406, -205320, -205234?
-205148
What is the next term in 568015, 567989, 567963, 567937, 567911, 567885?
567859
What is next in -747, -2376, -5115, -8964, -13923, -19992?
-27171
What comes next: 267042, 2136332, 7210118, 17090646, 33380162, 57680912?
91595142
What comes next: 15641002, 15641007, 15641012, 15641017, 15641022, 15641027?
15641032
What is next in -15656, -125307, -422942, -1002551, -1958124, -3383651?
-5373122
What is next in 5248, 6271, 7294, 8317?
9340
What is the next term in 26990, 27494, 27998, 28502?
29006
What is next in -84673, -166659, -248643, -330625, -412605, -494583?
-576559
What is the next term in 276986, 553966, 830946, 1107926, 1384906, 1661886?
1938866
What comes next: -2816120, -2816115, -2816108, -2816099?
-2816088
What is next in 1081, 4457, 10143, 18133, 28421, 41001, 55867?
73013
What is next in -9112, -9000, -8888, -8776, -8664?
-8552
What is next in -1393801, -1393810, -1393819, -1393828, -1393837?
-1393846
What is the next term in -768997, -3076036, -6921099, -12304180, -19225273, -27684372, -37681471?
-49216564
What is next in -1463058, -5852119, -13167220, -23408361?
-36575542
What is next in -22852, -45308, -67768, -90232, -112700, -135172, -157648?
-180128
What is next in 749, 3186, 7273, 13010, 20397, 29434, 40121?
52458
What is next in 255262, 510522, 765782, 1021042?
1276302
What is next in -2892029, -5784048, -8676067, -11568086?
-14460105
What is next in 16685992, 16685993, 16685994, 16685995, 16685996, 1 | {
"pile_set_name": "DM Mathematics"
} |
re there in 381511.2 millilitres?
381.5112
Convert 85.84719l to millilitres.
85847.19
How many milliseconds are there in nineteen quarters of a second?
4750
How many litres are there in 9985.048ml?
9.985048
What is 174324.465 hours in weeks?
1037.645625
What is 5/8 of a day in seconds?
54000
Convert 80405.49mm to nanometers.
80405490000
What is 1/10 of a meter in micrometers?
100000
How many millilitres are there in 1/10 of a litre?
100
Convert 80892.39 centuries to years.
8089239
What is 5/4 of a minute in milliseconds?
75000
What is 725260.7 millimeters in centimeters?
72526.07
How many microseconds are there in 539.3224 days?
46597455360000
How many litres are there in 0.238646 millilitres?
0.000238646
How many millilitres are there in 8/25 of a litre?
320
What is twenty-nine fifths of a second in milliseconds?
5800
How many centimeters are there in 8/25 of a meter?
32
What is 0.2227008 nanoseconds in minutes?
0.00000000000371168
What is 5/8 of a milligram in micrograms?
625
Convert 985.9715l to millilitres.
985971.5
What is 3/32 of a tonne in grams?
93750
What is five quarters of a litre in millilitres?
1250
How many kilograms are there in 97.33857 micrograms?
0.00000009733857
How many hours are there in 5/6 of a week?
140
What is 3/10 of a kilometer in centimeters?
30000
How many grams are there in one tenth of a kilogram?
100
What is 49705.12 nanometers in micrometers?
49.70512
What is 57/5 of a litre in millilitres?
11400
Convert 54981.08 seconds to milliseconds.
54981080
How many seconds are there in two fifteenths of a week?
80640
How many meters are there in 2.362799mm?
0.002362799
How many centimeters are there in 2674.294nm?
0.0002674294
What is seven halves of a litre in millilitres?
3500
How many days are there in 16/7 of a week?
16
How many millilitres are there in one quarter of a litre?
250
How many days are there in 2.9076606 minutes?
0.00201920875
How many nanometers are there in fifty-four fifths of a micrometer?
10800
Convert 9582.778 millilitres to litres.
9.582778
What is 1/4 of a millennium in months?
3000
How many nanograms are there in 3/8 of a microgram?
375
How many milligrams are there in nineteen quarters of a gram?
4750
What is 2/15 of a century in months?
160
How many decades are there in 203143.74 months?
1692.8645
How many minutes are there in 27/2 of a day?
19440
How many seconds are there in 45.71488 hours?
164573.568
How many micrograms are there in 42/5 of a milligram?
8400
What is 90.06324 millilitres in litres?
0.09006324
How many centimeters are there in three fifths of a meter?
60
How many millilitres are there in 19/4 of a litre?
4750
How many years are there in 14445.88 centuries?
1444588
How many years are there in 9.691323 months?
0.80761025
What is 6.025921 milligrams in micrograms?
6025.921
How many millilitres are there in 935.4851 litres?
935485.1
What is 1.9484832 minutes in hours?
0.03247472
What is 1/20 of a millimeter in micrometers?
50
Convert 632.9091 micrometers to nanometers.
632909.1
How many decades are there in 6/25 of a millennium?
24
What is 21/8 of a litre in millilitres?
2625
What is five quarters of a century in years?
125
What is 3/8 of a litre in millilitres?
375
What is 3/5 of a millennium in years?
600
What is 0.7247043 hours in microseconds?
2608935480
What is 17/4 of a litre in millilitres?
4250
How many millilitres are there in six fifths of a litre?
1200
What is 227492.79 hours in weeks?
1354.12375
Convert 7602.084 minutes to milliseconds.
456125040
What is thirty-seven halves of a milligram in micrograms?
18500
What is twenty-one halves of a hour in seconds?
37800
How many decades are there in 4.177573 years?
0.4177573
How many micrograms are there in 145901.2 milligrams?
145901200
Convert 1.573244l to millilitres.
1573.244
How many millilitres are there in 11/8 of a litre?
1375
Convert 34167.12ml to litres.
34.16712
How many microseconds are there in 75823.89 hours?
272966004000000
How many centimeters are there in seventeen halves of a meter?
850
What is 557.0836 years in centuries?
5.570836
Convert 95.99704 kilometers to meters.
95997.04
What is thirteen eighths of a kilogram in grams?
1625
What is seven eighths of a litre in millilitres?
875
Convert 8702.902t to milligrams.
8702902000000
Convert 39.15129 litres to millilitres.
39151.29
What is 70035.57 decades in years?
700355.7
How many kilograms are there in 45.24087g?
0.04524087
How many millilitres are there in 3.437353l?
3437.353
What is 34/5 of a hour in minutes?
408
How many centuries are there in 59769.87 decades?
5976.987
What is 5.241225 litres in millilitres?
5241.225
Convert 769.6998 centuries to months.
923639.76
What is 9.958531cm in kilometers?
0.00009958531
What is 74.81554mm in micrometers?
74815.54
What is 9/16 of a centimeter in micrometers?
5625
How many kilograms are there in fourty-six fifths of a tonne?
9200
What is 27/2 of a millisecond in microseconds?
13500
Convert 7358.466 micrometers to meters.
0.007358466
How many millimeters are there in twenty-one halves of a centimeter?
105
How many centuries are there in 11/10 of a millennium?
11
What is 362.9785 meters in millimeters?
362978.5
What is 732350.2 litres in millilitres?
732350200
How many micrometers are there in twenty-seven fifths of a centimeter?
54000
What is 73.77638 millimeters in kilometers?
0.00007377638
What is 9.544197kg in nanograms?
9544197000000
What is 7/4 of a litre in millilitres?
1750
How many centimeters are there in 22967.69 meters?
2296769
Convert 1973.58 millilitres to litres.
1.97358
What is 624.2393 centuries in years?
62423.93
How many kilograms are there in 30433.64 nanograms?
0.00000003043364
How many days are there in 5821.002 weeks?
40747.014
How many meters are there in 381887.7 nanometers?
0.0003818877
Convert 418775.4km to nanometers.
418775400000000000
What is three eighths of a centimeter in micrometers?
3750
How many nanometers are there in 919864.8mm?
919864800000
Convert 0.573164um to meters.
0.000000573164
How many meters are there in 3/40 of a kilometer?
75
What is 892.9174 hours in seconds?
3214502.64
What is 15410.9 seconds in microseconds?
15410900000
What is 17/4 of a litre in millilitres?
4250
How many litres are there in 21.95251ml?
0.02195251
Convert 7757.82 kilograms to micrograms.
7757820000000
Convert 944.5557mm to micrometers.
944555.7
How many grams are there in 7.89922 kilograms?
7899.22
Convert 842.0547ms to seconds.
0.8420547
What is 31.6344 milligrams in micrograms?
31634.4
How many millennia are there in 90.79388 centuries?
9.079388
What is 6/5 of a litre in millilitres?
1200
What is seven halves of a milligram in micrograms?
3500
What is 4.746741mm in kilometers?
0.000004746741
How many grams are there in 0.44637kg?
446.37
Convert 52872.669 milliseconds to hours.
0.0146868525
How many nanograms are there in 0.0906926t?
90692600000000
Convert 0.5619082ml to litres.
0.0005619082
How many months are there in one sixteenth of a century?
75
How many weeks are there in 12676.51161 milliseconds?
0.000020959840625
Convert 76724.86 millilitres to litres.
76.72486
How many months are there in 392947.9 decades?
47153748
What is 704685.78 microseconds in hours?
0.00019574605
How many millimeters are there in 5/8 of a meter?
625
What is 9255.962 millilitres in litres?
9.255962
What is 57.18713 kilograms in milligrams?
57187130
What is 58.50285 millilitres in litres?
0.05850285
What is 272.8573 years in centuries?
2.728573
What is thirteen quarters of a hour in minutes?
195
Convert 465.2122 centuries to decades.
4652.122
What is 26/5 of a litre in millilitres?
5200
How many millimeters are there in 0.3440295 meters?
344.0295
What is 809.1444 millilitres in litres?
0.8091444
Convert 56.88753mm to micrometers.
56887.53
How many micrometers are there in 98554.17 meters?
98554170000
How many milligrams are there in thirty-two fifths of a gram?
6400
What is 3/8 of a millimeter in micrometers?
375
What is 69815.26mm in nanometers?
69815260000
How many hours are there in 30.8248 days?
739.7952
How many millilitres are there in 91/2 of a litre?
45500
How many meters are there in 3.621478cm?
0.03621478
What is twenty-five quarters of a micrometer in nanometers?
6250
How many nanometers are there in | {
"pile_set_name": "DM Mathematics"
} |
-1
Let w be (0 + -2)*(-3 - -7). Let h be (-26)/(-8) + 2/w. Let z = -2 + 3. Put z, -4, h in decreasing order.
h, z, -4
Let x = -18 - -21. Let w = x + -2.7. Sort w, 6, 5 in decreasing order.
6, 5, w
Let n = -4 - -6. Let v = 7 - n. Let s = 22 - 23. Put v, s, 4 in descending order.
v, 4, s
Suppose -53*u - 64 = -69*u. Put 0, u, 2, 1 in descending order.
u, 2, 1, 0
Let n = -0.1249 + 1.1249. Sort 1/7, n, 2/69 in descending order.
n, 1/7, 2/69
Let w = -0.0166 - 1.9834. Sort -2/5, w, 2/7 in descending order.
2/7, -2/5, w
Let o = -21 + 24. Let y be o/(-36)*72/27. Sort y, -5, -2, -11 in descending order.
y, -2, -5, -11
Let r = 25 + -20. Let v(c) = c**3 - 4*c**2 - 6*c + 10. Let q be v(r). Let y = 0.02 - 2.02. Put 0.1, q, y in decreasing order.
q, 0.1, y
Let q be (-48)/216*3/4. Suppose 0*d + d + 3 = 0. Let w = 1.5 + -1.5. Sort q, d, w in descending order.
w, q, d
Suppose -382 = -93*q - 475. Let g(b) be the third derivative of b**6/120 - b**5/10 - b**4/4 - 2*b**3/3 + b**2. Let c be g(7). Sort q, c, -3.
-3, q, c
Let j = -184 - -88. Let o be ((-8)/4)/(j/38). Let k = 2/3 - o. Sort k, 3, 2/7 in descending order.
3, 2/7, k
Suppose -3*c + 2 = -5*y, 5*c - 6 = c + 5*y. Sort -4/3, c, 0.3, 2 in increasing order.
-4/3, 0.3, 2, c
Suppose 5*z - j + 3*j = 0, 5*j + 17 = -4*z. Let y be (-249)/(-12) + (-9)/12. Suppose 0 = -0*f + 5*f + y, -3*d - 20 = 2*f. Sort d, z, 1 in descending order.
z, 1, d
Let g be (1 + 2)/(-13 + 10). Put 4, 0, g in increasing order.
g, 0, 4
Suppose -2*c + 9 = 37. Let k = 14 + c. Sort k, -4, 3.
-4, k, 3
Suppose -5*o = -o + 12. Let j = 23851/10 - 2385. Put j, 1, 1/9, o in decreasing order.
1, 1/9, j, o
Suppose 0 = -r - 4*k - 33, r + 3*r + 84 = -4*k. Sort r, 3, -3.
r, -3, 3
Let u = -2 + 4. Suppose 49 = 3*o + 37. Suppose -5*g - 5*h = -o*h - 3, g = -h + 3. Sort 5, u, g in increasing order.
g, u, 5
Let y(s) = s**3 - 22*s**2 + 21*s + 3. Let t be y(21). Suppose 5*z + 3*q = t*z + 4, 0 = -3*z + 4*q + 6. Sort -3, z, -8.
-8, -3, z
Let a be -9 + 21 - (-638)/(-55). Put a, -0.0087, 4 in ascending order.
-0.0087, a, 4
Suppose -2 = 14*n - 2. Let v be (3 + -3)*(-1)/3. Suppose v = -3*s - 6 - 0. Sort n, s, 4.
s, n, 4
Let p(c) = -2*c**3 - 32*c**2 + 33*c - 12. Let z be p(-17). Sort -13, -3, z in descending order.
z, -3, -13
Let s = 8718 - 8680.99. Let o = -37 + s. Put 1/4, o, -2 in decreasing order.
1/4, o, -2
Let c = 1148 - 1147. Put c, 0.2, -1/4, -2/7 in decreasing order.
c, 0.2, -1/4, -2/7
Let u = -29 + 31.1. Let a = u + -1.4. Let o = 0.5 - a. Put 4, o, -0.4 in descending order.
4, o, -0.4
Let u be -2*(-18)/16*-4. Let n be 6/(-9)*u + -1. Let m = -0.04 - 0.26. Sort n, -3, m in decreasing order.
n, m, -3
Let q = -1/2 - -3/10. Sort -67, q, 2/9 in descending order.
2/9, q, -67
Let z = -706 + 707. Put z, -2/5, 9 in ascending order.
-2/5, z, 9
Let k = 2.9 - 2. Let v = k + -1.9. Let h = 1.1 + v. Sort h, 3, -1 in ascending order.
-1, h, 3
Suppose 18*m = 57*m - 39. Let q be -1 + (0 - (2 - 1)). Sort m, 3, q, -1.
q, -1, m, 3
Suppose 77 = -8*m + m. Sort m, -1, 3, 0 in decreasing order.
3, 0, -1, m
Let h = 1312.98 - 1313. Put -0.4, h, -5/3 in ascending order.
-5/3, -0.4, h
Let g = -298 - -368. Sort g, 2, -3 in descending order.
g, 2, -3
Let v = 0.5 - -8.5. Let n = 14 - v. Let z = -4.6 + n. Put -2/35, 2/3, z in decreasing order.
2/3, z, -2/35
Suppose x - 5*s = 21, 2*x - x + 4*s - 3 = 0. Let y = -3461/12 + 896/3. Let u = x - y. Put u, 0, -3 in increasing order.
-3, 0, u
Let a be (-1)/3 + (-26)/(-6). Let k = -18 + 24. Let v = k - 5.7. Put v, a, 3/2 in decreasing order.
a, 3/2, v
Let d = -0.163 + 13.163. Sort 5/2, 0.08, d in descending order.
d, 5/2, 0.08
Let o(n) = -n**2 - 10*n - 16. Let l be o(-8). Suppose 2*u - 2*a + 6*a - 26 = 0, l = u - 5*a + 15. Let q be (1/3)/((-3)/9). Sort q, u, -4 in decreasing order.
u, q, -4
Let d = -3.4 - -8.8. Let y = d + -5.9. Sort 1, 4, y, -2 in decreasing order.
4, 1, y, -2
Let p = -4483/7 - -640. Put 3.9, p, -2/11 in decreasing order.
3.9, -2/11, p
Let c = 2 + -6. Let k = -9.42 - -15.42. Let p be 3/6*(-2)/1. Sort c, k, p in increasing order.
c, p, k
Let x be -3 + 9/24 + (-865)/(-360). Sort 0.4, x, -58 in ascending order.
-58, x, 0.4
Let l be 6/36 - (-50)/(-12). Let z = -6 - -4. Sort 5, z, l in descending order.
5, z, l
Let t = -6 - -10. Let h(r) = 5*r + 2. Let n be h(1). Let y(m) = -3*m + 16. Let i be y(n). Put t, i, -3 in increasing order.
i, -3, t
Let f be (-3)/(-12) - 117/36. Let p be 0 + (4 + f)*1. Let t be 14/8 - 2/(-8). Put 0, t, p in increasing order.
0, p, t
Let p(z) = 3*z - 1. Let l be p(-1). Let b(x) = x**3 - 6*x**2 + 5*x + 5. Let g be b(5). Suppose -14*r - g = 9. Put l, -2, r in descending order.
r, -2, l
Let q = 4.933 + -1.233. Sort 1/3, q, 2/3.
1/3, 2/3, q
Let t = 479/2 - 239. Let a = -19 + 21. Sort t, -0.2, a in descending order.
a, t, -0.2
Let r = 635 + -4446/7. Let y(k) = -k**2 - 3*k - 1. Let m be y(-2). Let d be (0 - m)/(2/(-2)). Sort 0.5, d, r.
r, 0.5, d
Let n be ((-18)/27)/((-5)/(-3)). Let w = 0.5 - 0.4. Let y = 0.2 + w. Put -4, n, y in ascending order.
-4, n, y
Suppose -26*r = 20*r + 230. Put r, -398, 3 in ascending order.
-398, r, 3
Suppose 3 = -2*q + q, 0 = 2*a - 5*q + 53. Let f = 37 + a. Put f, 5, -5, 1 in descending order.
5, f, 1, -5
Let d = -4 + 4. Let l be (34 - (-3 - -1))*-1. Let z be (-5)/(20/l) - 4. Sort d, 4, z in ascending order.
d, 4, z
Let w be 6/8*(-24)/(-12 - -6). Sort w, -1/4, 5, 23.
-1/4, w, 5, 23
Let y = -5.7 + 6. Let s be (30/20)/(-5 - (-4 + 2)). Sort y, 3/4, -1, s in decreasing order.
3/4, y, s, -1
Suppose -t + 1 = -0. Let f = -3/8 - -13/24. Sort f, -1, t in decreasing order.
t, f, -1
Let s = 0.16 - 0.12. Let l = -3.96 - s. Let a be 2/11 + (-21)/55. Sort l, -2, a.
l, -2, a
Let w = 542.3 - 542. Put w, -2, -6 in decreasing order.
w, -2, -6
Let a = 1782 - 1775. Suppose 0 = -2*n, 4*o - 4*n = -0*n. Let q = -1 + o. Sort -3, a, q.
-3, q, a
Let v be 1/(1/6*12/6). Suppose v*b - 2*k - 59 = -0*k, -4*k + 15 = b. Sort 0, -2, -5, b in increasing order.
-5, -2, 0, b
Let s = -129 - -124. Let g be (-8)/28 + 10/(-14). Sort g, s, -3 in decreasing order.
g, -3, s
Let u be 66/(-2) - ((-2)/(-1) - 6). Put 4, 3, 1, u in ascending order.
u, 1, 3, 4
Let g = 2 - -1. Suppose 0*r - 15 = -g*r, -4*r + 32 = 3*v. Suppose 3*f - 9 = 0, 4*p = -3*f - 0*f + 1. Sort p, v, 1 in decreasing order.
v, 1, p
Let y be ((-1)/((-1)/(-4)))/(-1). Let b be (-5)/4*3/(-5). Let z = 599 - 598. Put b, z, y in descending order.
y, z, b
Suppose y - 39 = 4*y. Suppose 8*t - 170 = -178. Sort y, t, -5, 1.
y, -5, t, 1
Let c be -2*((-45)/6)/5. Let i be (-2)/1 - (5 + -8). Let l(w) = 2*w**2 + 3*w - 3. Let z be l(i). Put c, z, -2 in decreasing order.
c, z, -2
Let j be (-1 + 6/4)*-12. Let o(p) = -5*p + 105. Let d be o(19). Let r = d + j. Sort -2, 5, r.
-2, r, 5
Suppose -77 = -3*t + 2*b, 0 = -2*b - 2 + 6. Let x = 32 - t. Let y be (1 - 0)/((-2)/(-6)). Put x, -2, y in ascending order.
-2, y, x
Let o = 16 - 0. Let j be 1*12/o + -1. Put -0.2, j, 2 in descending order.
2, -0.2, j
Let t = 618.4 + -618. Put -0.3, 25, t in descending order.
25, t, -0.3
Let n be (1 - -1)/((-3)/(-2)). Let r(v) = -v**2 + 6*v. Let c be r(6). Suppose c = -5*s + 10. Put s, -0.06, n in decreasing order.
s, n, -0.06
Suppose -5*p = -24*p - 19. Put -4, 1, p, -3 in increasing order.
-4, -3, p, 1
Let r = -124.7 + 131.7. Sort -2, r, -9 in descending order.
r, -2, -9
Let d be (-8)/((-448)/(-216)) - 8/(-2). Let s = 0.3 - 0.5. Let g = s - 0.3. Sort 0.1, g, d.
g, 0.1, d
Let a(i) = 4*i + 44. Let y be a(-13). Put 0, 4, 3, y in ascending order.
y, 0, 3, 4
Let w be (-97)/(-5) - (-2)/(-5). Let v = w - -7. Sort 2, 5, v in increasing order.
2, 5, v
Suppose 0 = -d - t + 3, 3*t = -d + 5*t - 6. Suppose -5*j + d*q + 4 = -2*q, 0 = -2*j - 3*q - 6. Sort j, 3, 55.
j, 3, 55
Let k = -86 - -84. Sort 6, 3, k.
k, 3, 6
Let c be (-16)/((-80)/(-45)) - -11. Put c, 4, -16 in descending order.
4, c, -16
Let o be 1*(0 - -1)/((-5)/(-15)). Put -2/13, o, 0 in increasing order.
-2/13, 0, o
Suppose 261*s - 268*s = 7. Sort 0, s, -3, -18 in descending order.
0, s, -3, -18
Let k = 98 - 98. Put -23, k, -5, 4 in descending order.
4, k, -5, -23
Suppose -3*h + 5*h = -2*q - 2, -8 = 2*q + 5*h. Suppose -j - 23 = 5*k - 0*j, 0 = k + 4*j - 3. Suppose -10 = -22*t + 23*t. Sort k, t, q in descending order.
q, k, t
Let n = -49 - -44. Let r = 11.8 - 11. Sort n, r, | {
"pile_set_name": "DM Mathematics"
} |
picking 4 v?
1
Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {k: 3, u: 1, j: 2, b: 4}.
1/10
Four letters picked without replacement from {q: 3, t: 3}. What is prob of picking 3 q and 1 t?
1/5
What is prob of picking 2 l when two letters picked without replacement from {l: 11, m: 1, h: 1}?
55/78
What is prob of picking 3 m when three letters picked without replacement from zmmrmnnnnn?
1/120
What is prob of picking 2 s and 1 u when three letters picked without replacement from {l: 2, s: 3, u: 3, a: 6, n: 3}?
9/680
What is prob of picking 1 a and 1 w when two letters picked without replacement from {n: 4, t: 6, i: 2, w: 1, a: 3}?
1/40
What is prob of picking 1 l and 2 f when three letters picked without replacement from flllflfl?
15/56
Calculate prob of picking 1 y and 2 e when three letters picked without replacement from {y: 2, e: 3}.
3/5
Three letters picked without replacement from qoqggqaaqgooa. What is prob of picking 2 o and 1 a?
9/286
Three letters picked without replacement from rarvusuvsrass. What is prob of picking 1 v, 1 u, and 1 a?
4/143
Calculate prob of picking 2 y, 1 b, and 1 g when four letters picked without replacement from {g: 11, b: 2, y: 7}.
154/1615
Calculate prob of picking 3 f when three letters picked without replacement from ffccff.
1/5
What is prob of picking 1 o and 1 h when two letters picked without replacement from onjht?
1/10
Calculate prob of picking 1 n and 3 p when four letters picked without replacement from bbfpnfppbf.
1/210
Calculate prob of picking 2 w and 1 b when three letters picked without replacement from yyqwmwqqbqqzz.
1/286
Calculate prob of picking 2 s when two letters picked without replacement from {m: 10, h: 3, d: 1, s: 5, o: 1}.
1/19
Calculate prob of picking 2 x and 2 v when four letters picked without replacement from xvxxwwwfvfgxgxxxx.
1/85
Calculate prob of picking 1 y, 1 i, and 2 p when four letters picked without replacement from {c: 6, i: 1, y: 3, p: 5, e: 2, t: 2}.
5/646
What is prob of picking 2 j, 1 u, and 1 k when four letters picked without replacement from kddjju?
1/15
Four letters picked without replacement from {g: 5, z: 3}. What is prob of picking 3 g and 1 z?
3/7
Calculate prob of picking 1 a and 3 x when four letters picked without replacement from xaaxaxxxaaax.
8/33
Calculate prob of picking 3 b when three letters picked without replacement from {v: 5, b: 5, w: 5, k: 3, g: 1}.
10/969
What is prob of picking 2 q and 2 s when four letters picked without replacement from sssqsqqpspsnqqssjpnh?
56/969
What is prob of picking 1 n, 1 y, and 1 p when three letters picked without replacement from nlnlplgnxlgnyllpn?
1/68
What is prob of picking 1 l and 1 k when two letters picked without replacement from lqolok?
2/15
Two letters picked without replacement from {m: 7, v: 5, y: 7}. What is prob of picking 1 y and 1 m?
49/171
Calculate prob of picking 3 h and 1 z when four letters picked without replacement from {z: 7, h: 6}.
28/143
Three letters picked without replacement from {r: 1, h: 1, d: 2, e: 1, p: 2, i: 1}. What is prob of picking 1 p, 1 r, and 1 i?
1/28
Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {p: 1, v: 1, w: 1, r: 1, y: 1}.
1/10
Two letters picked without replacement from iaiajjjaamjzzjia. What is prob of picking 1 m and 1 z?
1/60
Four letters picked without replacement from {z: 2, k: 18}. Give prob of picking 4 k.
12/19
Calculate prob of picking 2 v when two letters picked without replacement from vaynveye.
1/28
Calculate prob of picking 2 q and 2 v when four letters picked without replacement from qqvqjlvyjj.
1/70
Two letters picked without replacement from {l: 1, d: 7}. What is prob of picking 1 d and 1 l?
1/4
Calculate prob of picking 2 z and 1 q when three letters picked without replacement from qiziizqxaiaqiqiix.
1/170
What is prob of picking 2 z when two letters picked without replacement from {y: 9, z: 4, p: 1}?
6/91
What is prob of picking 1 c and 1 z when two letters picked without replacement from {z: 2, v: 1, g: 1, c: 1, i: 1, l: 2}?
1/14
Two letters picked without replacement from {f: 7, b: 3, i: 4, c: 4}. What is prob of picking 2 i?
2/51
What is prob of picking 1 z and 2 e when three letters picked without replacement from eevezzo?
6/35
Four letters picked without replacement from {u: 18, q: 1}. What is prob of picking 3 u and 1 q?
4/19
What is prob of picking 1 d and 2 p when three letters picked without replacement from ppppdpdd?
15/28
Two letters picked without replacement from llfuulllfflflfl. Give prob of picking 2 u.
1/105
Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {e: 1, j: 4, z: 6, q: 2}.
1/39
Four letters picked without replacement from vgwggggvwlg. Give prob of picking 2 g, 1 w, and 1 v.
2/11
Calculate prob of picking 3 j when three letters picked without replacement from iaacjaiajcaaaicijjj.
10/969
Calculate prob of picking 3 w when three letters picked without replacement from {i: 3, r: 2, w: 4, j: 6}.
4/455
Two letters picked without replacement from dxxdxdddrxdddddrdddr. Give prob of picking 1 r and 1 d.
39/190
Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {o: 1, v: 3, d: 5, p: 1}.
1/9
What is prob of picking 1 d and 1 y when two letters picked without replacement from {p: 6, y: 5, i: 3, d: 3}?
15/136
Calculate prob of picking 3 q and 1 j when four letters picked without replacement from {j: 6, q: 6}.
8/33
Two letters picked without replacement from xxxxjjjx. What is prob of picking 2 x?
5/14
Calculate prob of picking 3 a and 1 k when four letters picked without replacement from {r: 4, c: 4, k: 3, a: 3}.
3/1001
Calculate prob of picking 1 y and 3 m when four letters picked without replacement from {y: 3, m: 7}.
1/2
Four letters picked without replacement from {n: 2, z: 5, v: 4, h: 4, s: 1}. What is prob of picking 2 h, 1 s, and 1 n?
3/455
What is prob of picking 2 x and 1 s when three letters picked without replacement from stttttstxttxtxss?
3/140
Three letters picked without replacement from {p: 1, x: 2, y: 2, i: 1}. What is prob of picking 2 x and 1 i?
1/20
Four letters picked without replacement from {m: 5, u: 2, y: 2, x: 2, f: 1, q: 2}. Give prob of picking 2 x, 1 u, and 1 y.
4/1001
Four letters picked without replacement from {c: 9, u: 2}. What is prob of picking 3 c and 1 u?
28/55
Three letters picked without replacement from eree. Give prob of picking 1 r and 2 e.
3/4
What is prob of picking 2 t when two letters picked without replacement from ytttuyttu?
5/18
Calculate prob of picking 1 b, 2 m, and 1 e when four letters picked without replacement from jejbmbbejbbjb.
0
What is prob of picking 1 f and 1 h when two letters picked without replacement from rfhrvrhfahfzhrfrf?
5/34
Two letters picked without replacement from hfosfh. What is prob of picking 1 h and 1 s?
2/15
Two letters picked without replacement from kkrkr. What is prob of picking 1 k and 1 r?
3/5
Calculate prob of picking 1 w, 1 p, 1 h, and 1 l when four letters picked without replacement from pwklwlhll.
4/63
Three letters picked without replacement from xxx. Give prob of picking 3 x.
1
Calculate prob of picking 1 g and 1 s when two letters picked without replacement from zsgcsqhz.
1/14
Three letters picked without replacement from {p: 5, v: 1, m: 1, n: 1, k: 3}. What is prob of picking 1 k, 1 m, and 1 n?
1/55
What is prob of picking 1 l, 1 y, 1 x, and 1 z when four letters picked without replacement from {p: 4, b: 1, y: 4, z: 1, x: 5, l: 3}?
1/51
Calculate prob of picking 2 q when two letters picked without replacement from {s: 6, b: 7, u: 1, q: 5}.
10/171
Two letters picked without replacement from {v: 9}. Give prob of picking 2 v.
1
What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 2, s: 1}?
2/3
Three letters picked without replacement from {r: 7, g: 5}. Give prob of picking 1 r and 2 g.
7/22
Calculate prob of picking 1 y and 3 i when four letters picked without replacement from {u: 5, q: 9, y: 2, i: 3}.
1/1938
What is prob of picking 1 q, 1 u, and 1 k when three letters picked without replacement from wujquqck?
1/14
Calculate prob of picking 1 u and 1 f when two le | {
"pile_set_name": "DM Mathematics"
} |
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