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ssuming n is positive.
n**(16327/4620)
Simplify ((f*f**(2/11))/(f/f**(-4/5)))**47*((f**(-1/2)*f)**(-12))**16 assuming f is positive.
f**(-6878/55)
Simplify ((u**(-2/7))**(9/2))**(4/3)/((u**1)**(-39))**46 assuming u is positive.
u**(12546/7)
Simplify (((b**(2/5)*b**(-3/4))**(1/36))**(3/37))**33 assuming b is positive.
b**(-77/2960)
Simplify q**(-1/5)*q**(-5/2)*(q*q**(-6)*q)/(q/((q**(2/3)*q)/q))*(q**1)**(1/24)/((q*q*(q**(-2/15)*q)/q)/q**(-2/11)) assuming q is positive.
q**(-11933/1320)
Simplify (((n**8*((n**(-7)*n)/n*n)/n)/((n/n**2)/(n*(n*n/(n/n**(-8)*n))/n*n)))**(2/63))**(14/3) assuming n is positive.
n**(-20/27)
Simplify ((((k**(2/69)*k)/k**47)**(-5/2))**(1/69))**(-5/8) assuming k is positive.
k**(-19825/19044)
Simplify (c/((c/(c*c/(c**21/c*c)*c))/c)*c)**(2/17)*c**(-25)/c*c**(-3/2) assuming c is positive.
c**(-999/34)
Simplify ((r*(r*r**(-1/4)*r)/r)/r*r*r**(-1/2))**(-2/19)*r*r*(r/(r*r**(1/8))*r*r)/r*r*r**(2/13)/r*r**3*r*r*r*r**(-1/9) assuming r is positive.
r**(156253/17784)
Simplify (((i/(i*i**(-2/5)*i))/i)**(2/19))**31*(i**(-1/7)*i*i*i**(2/7))/(i**2/(i/i**4*i)) assuming i is positive.
i**(-4707/665)
Simplify ((y/(y*y/y**(-3)))/y**(2/13)*y**(-3/5)*y*y**(1/3)*y)/((y**(-4)*y/y**(2/9))/(y*y*y/(y**1/y)*y/y**(-2))) assuming y is positive.
y**(3979/585)
Simplify ((g**3*g*(g*g*(g/(g/(g**14*g)))/g*g*g)/g*g)/((g*g**(-2/47)*g)/(g*g*(g*g*(g*g**(9/2))/g)/g*g)))**45 assuming g is positive.
g**(120735/94)
Simplify (((h*h**(-3/2))/h)**(3/10))**30/((h/h**(-4/5)*h/(h/((h/(h**(-5/4)*h*h))/h)))/(h*h**(-1/2))**(-4/21)) assuming h is positive.
h**(-6151/420)
Simplify (x*x*x**(-6/11)*x)/x**0*x**(-1)*x**(-8)*x**9/x**1*(x/(x**1*x))**(1/33) assuming x is positive.
x**(47/33)
Simplify (a**2/(a/(a/(a/(a*a**(1/2)))))*a**(1/3)/(a/a**3))/((a**1/a)/a*a**(1/3))**7 assuming a is positive.
a**(19/2)
Simplify (((j/(j/(j*j**(-2/9))))/j*(j**(-4/3)/j*j)/j)/(j/j**0*j*j)**15)/((j*j**(-1/3))**(-3/2)*(j**(-2/5))**(-2/7)) assuming j is positive.
j**(-14701/315)
Simplify (t**(-2)/t**(2/9))**(-25/3)*(t**(1/9)*(t**(4/3)*t)/t*t)/(t**(-1/4)*(((t*t*t**(-5)/t*t)/t)/t)/t) assuming t is positive.
t**(2939/108)
Simplify (((o/(((o**(-3)/o)/o)/o*o)*o)/(o/o**(-2/3)*o))/(o*o/(o**(-4/11)/o*o)*o*o*o**(-1/2)/o))/((o/(o*o**6))/(o/o**14))**(-41) assuming o is positive.
o**(19039/66)
Simplify ((((m**(2/17)*m)/m*m)/m)/m*m*m**(2/5)*m)/((m**(-4)*m)/(m/m**(-2/7)))*(m**(-5)*m**(-3/5))**(9/2) assuming m is positive.
m**(-11541/595)
Simplify (r/(r*(r/((r/(r/(r/r**12)*r*r*r*r))/r)*r)/r)*r*r**(2/17))**0*r*r*r**4*r*r**1*r*r**(2/7)*r**(-8) assuming r is positive.
r**(9/7)
Simplify ((f**1*f)/f*f**(-5)*(f/(f/f**(2/11)))/(f*f/(f*f**(-8))*f))/(f**(-5)/f**(-4)*f**(-1/10)*f*f**(-2/9)*f*f) assuming f is positive.
f**(-15341/990)
Simplify ((l**(-1/4)/(l/(l/(l**(-10)/l))))/(l*l*l*l/(l*(l/(l**(-4/7)*l*l)*l*l)/l*l))**(-9))**(-34) assuming l is positive.
l**(-11237/14)
Simplify ((v*v*v/(v**(-10)*v*v))/v**(-2))**0*((((v*v**(-3))/v)/v)/(v*(v*v**(5/2)*v)/v))/(v**(-1)/v)**(12/13) assuming v is positive.
v**(-173/26)
Simplify (w/w**(-19))**9/(w/(w*w**(-18)*w)*w/(w/w**(-1/26))*w*w) assuming w is positive.
w**(4187/26)
Simplify (g**14)**(-33)*g**(-14/9)*g**41 assuming g is positive.
g**(-3803/9)
Simplify (v**(-6)*v**7)**(13/4)*v**(2/9)*(v/v**(-2/5))/v*(v/v**(-2/3))/v*v**(-1/3)*v assuming v is positive.
v**(937/180)
Simplify ((s/((s/s**(2/9))/s)*(s/s**(-4))/s)/(s/(s*s*s**1)*s*s)**27)/((s**(-4)*((s*s*s/(s**(-1)*s))/s)/s*s)/(s**(3/7)*s*s**1)) assuming s is positive.
s**(608/63)
Simplify (o**1)**(-1/19)*(o**1*o)**(-1/20)*(o/(o*o*o*o/o**(-1/4)*o))/(o*o**(-2))*(o/(o**1*o))**(-8/3) assuming o is positive.
o**(-839/1140)
Simplify ((k**(-1/7)*((k*(k*k**(1/4))/k)/k)/k*(k**8*k*k)/(k*k**0))**1)**(-17) assuming k is positive.
k**(-3859/28)
Simplify ((f**(-2/9)*f*f)/f**(-8)*f**(-8)/f*(f*f**(-7))/f)/((f/f**3*f)**(-36))**(-11/5) assuming f is positive.
f**(3284/45)
Simplify (((p/p**(4/7))/p**3*(p/(p**0*p)*p*p*p)**(-45))**(1/72))**36 assuming p is positive.
p**(-963/14)
Simplify (((v**(-1/4)*v**(-10))/(v**(-3/2)*v*(v**(-1/2)/v)/v))**(1/16))**(3/2) assuming v is positive.
v**(-87/128)
Simplify (i*i**0/i)**7/(i**5/((i*i/(i*i**(2/9)))/i*i))*(i/(i/i**(2/7))*i**8*i)/(i**(1/3)/(i/(i*i**(1/5)/i*i*i)*i*i)) assuming i is positive.
i**(1742/315)
Simplify (w**(1/5))**(-47)*((w*(w**(1/4)*w)/w)/w)**(24/11)*(w**0/w**(-5))/((w**(-4/7)*w*w)/(w*w**9)) assuming w is positive.
w**(1816/385)
Simplify ((l/(l/(l/l**(-1))))**(-17)/(l**3*l**(-23)))**24 assuming l is positive.
l**(-336)
Simplify ((n**35*n)/n)/(n*(n/n**6)/n*n)*n**40/n**(1/21) assuming n is positive.
n**(1658/21)
Simplify (g**(2/13)*g**(-1)/g*g**(2/23)*g/((g/g**18*g*g)/g)*g)**(-20/9) assuming g is positive.
g**(-97120/2691)
Simplify ((h/(h/h**(-22)*h))**(10/11)*h**(-1)*h**(-3/31)*h)**(4/15) assuming h is positive.
h**(-28652/5115)
Simplify ((p**(-9)*p**8*p/(p*p**(-1/4))*p/p**(-8)*p)**(2/25))**(-15) assuming p is positive.
p**(-111/10)
Simplify ((u/(((u*u*u*u**(-1)*u)/u)/u))/(u/u**(-1/2)))/((u/(u*u*(u*u/u**0)/u*u))/u)**(-36)*((u**(3/4))**(-1/23))**32 assuming u is positive.
u**(-6741/46)
Simplify ((s/s**5)/s**2)**(-23/4)/((s*s**1*s*s**4)/(s**(2/11)/(s*s/(s*s*s*s**(1/6))*s))) assuming s is positive.
s**(919/33)
Simplify (q/(q**(-1)*q))**(-26)/(q**(-4)/(q*q**(7/4)))*(q/(q/q**(1/12))*q*q**(-9))**42 assuming q is positive.
q**(-1407/4)
Simplify (u**(-2/9)*u*(((u**(-5)*u)/u)/u)/u*u)**(-13)/((u**2*u)**14)**(-40) assuming u is positive.
u**(15731/9)
Simplify s**(1/8)*s/s**(1/5)*(s**(2/3))**4*(s*(((s/s**(-2/7))/s)/s)/s*s**0)**(-2/21) assuming s is positive.
s**(7173/1960)
Simplify ((q**1/q**(-1/4))/(q*(q/((q/(q**(-2/3)/q*q))/q)*q)/q)**22)/(q**(-6)*q**(-4))**(5/11) assuming q is positive.
q**(-3107/132)
Simplify ((f*f**13*f*f)/(f/(f*f*(f/(f*f**10/f))/f))*(f**(-17)/f)/(f**(-17)/f))**(-15/4) assuming f is positive.
f**(-105/4)
Simplify ((i**(-2)/i**(2/9))/(i/(i*i**(-1/3)))**(26/9))/(i**(3/4)*i*i**(2/11)/i*i**8*i*i**(3/4)) assuming i is positive.
i**(-8237/594)
Simplify y**39/(y**(-14/5)/y)*y**8*y*y**8 assuming y is positive.
y**(299/5)
Simplify (z*((z/z**(2/7))/z)/z)**(-11)/(z/(z*z**5*z)*z/((z*z**(-1/6))/z*z))*((z*z**3/z)/(z/z**(-2/9)))**(-34/3) assuming z is positive.
z**(-4223/378)
Simplify (((q/(((q/q**(-1/4))/q)/q))**13*(((q/(q/(q/q**2))*q)/q)/q)**48)**(-10/3))**12 assuming q is positive.
q**2930
Simplify z*z*z/(((((z/((z/z**(-7))/z)*z*z)/z)/z)/z*z*z)/z)*z**(5/18)*(z*z**(-2/3)*z)/z**(-6/23) assuming z is positive.
z**(4501/414)
Simplify ((r**(-1/4)/(r/(r**(-1/6)*r)))/(r**(-2/5)*r)**(25/4))/(r*r**(-5)*r**3/r*r)**(-10/7) assuming r is positive.
r**(-235/42)
Simplify (q**(-4/7)*q**5)**(20/3)*(q**(-3/4))**(-1/13)/(q**(6/7)/(q/q**8)) assuming q is positive.
q**(3389/156)
Simplify ((f**(-2/3)*f**(4/3))/(f**(-1/11)/(f/(f**(-5/6)*f))))/((f*f**(2/3))**(-7/5)*f**(-1)*(f**3/f)/f) assuming f is positive.
f**(259/66)
Simplify (p/(p**(-3)/p))/(p/(p*p**(-2/5)/p))*((p**(2/11)*p)/p)/((p/(p*p/p**(2/15))*p)/p)*((p/(p/(p/(p/p**(-2/3)*p))))**33)**(5/2) assuming p is positive.
p**(-43841/330)
Simplify ((((y**5)**6)**49)**(-28))**(-6/17) assuming y is positive.
y**(246960/17)
Simplify (w*w**(-2/5))/(w**(1/4)*w)*(w**(2/3)*w)**(-11/4)*((w*w**1)/w**(-1/5))**(3/20) assuming w is positive.
w**(-1471/300)
Simplify ((h**(-1/3))**(-2/25)*(h*h**(-2/5))/(h**(-2/23)/h))/((h**(-1)*h**(2/29))/(h*h**(-1))**9) assuming h is positive.
h**(132299/50025)
Simplify ((s**(-2/5))**(3/4))**(-10)/(((s/(s**(-2)/s))/(s*s**(-3)))/((s/((s*s**(-6)*s)/s))/(s*s**(2/9)/s))) assuming s is positive.
s**(25/9)
Simplify (o**(-1)*o*o)/((o/o**(1/5))/o)*(o**1/o)**29*((o*o/o**(-1/4)*o*o)/(o/(o/o**(1/3))))**(-12/17) assuming o is positive.
o**(-133/85)
Simplify (s**16*(s/(s**(-3/14)/s)*s)/s*(s**0)**24)**(28/3) assuming s is positive.
s**170
Simplify ((m*m**(-1/4)/m*m*m)**(-2/71)*(m*m*m*m**2)**(2/25))/((m*m*m/(m/(((m*m**4)/m)/m)))**(-10/7))**(-49) assuming m is positive.
m**(-248251/710)
Simplify ((f**(-24))**(-5/4)/((f**6*f)/(f**(-1/2)/f)))**9 assuming f is positive.
f**(387/2)
Simplify (((d*d**(-3/5)*d)/d)/(d/d**(-4)))**(-1/46)/(((((d**1*d)/d*d)/d)/d)/d**(-3))**(-40) assuming d is positive.
d**(1201/10)
Simplify (((q/(q/(q*q*q*q**(-2))))**(5/3)*(q**7*q)/(q/q**(-7/2)))**(1/5))**(-45) assuming q is positive.
q**(-93/2)
Simplify (v*v**(-34))**(-6/19)*(((v**(2/19)/v)/v)/v)/(v**( | {
"pile_set_name": "DM Mathematics"
} |
*l**3 + z*l**2. What is the first derivative of r(c) wrt c?
-6*c**2
Let m(u) be the third derivative of 0*u - 2/3*u**3 + 0*u**6 + 0 + 0*u**5 + 1/70*u**7 + 2*u**2 + 0*u**4. Differentiate m(w) wrt w.
12*w**3
Let q be (-3)/3*(3 - 6). Let x(w) be the second derivative of -1/12*w**4 - 2*w + w**2 + 0 + 0*w**q. What is the first derivative of x(b) wrt b?
-2*b
Let x(s) = 2*s**2 + 1. Let w be x(1). Let p(d) be the first derivative of 2 + 5*d**3 + 0*d**w - 4*d**3 - 2*d. What is the first derivative of p(a) wrt a?
6*a
Let n(b) be the third derivative of b**9/72 + 11*b**5/30 + 12*b**2. What is the third derivative of n(z) wrt z?
840*z**3
Let r(j) be the third derivative of -19*j**9/252 - 7*j**5/12 - 16*j**2. Find the third derivative of r(l) wrt l.
-4560*l**3
Let z(c) be the second derivative of c**7/6 - c**4/6 - c. Find the third derivative of z(a) wrt a.
420*a**2
Let b = -4 - -9. Find the second derivative of -4*q + 5*q**5 - 3*q**b - 2*q - 4*q**5 wrt q.
-40*q**3
Suppose 4*h + 4*m + 8 = -0*h, 4*h + 3 = m. Let d be h - ((-2 - 2) + 1). What is the third derivative of -4*a**2 + 3*a**d + 0*a**2 - 2*a**4 wrt a?
-48*a
Let o(d) be the first derivative of 0*d**4 - 2/3*d**3 + 0*d**2 + 5 - 6/5*d**5 + 0*d. What is the third derivative of o(j) wrt j?
-144*j
Let b(j) = -2*j + 17. Let r(g) = 3*g - 35. Let q(i) = -5*b(i) - 2*r(i). Find the first derivative of q(n) wrt n.
4
Let k(v) be the first derivative of -2 + 3/2*v**2 + 2/3*v**3 + 0*v. Find the second derivative of k(m) wrt m.
4
Let t(c) be the third derivative of -c**7/1680 - c**6/720 - c**5/30 - c**2. Let k(f) be the third derivative of t(f). Find the first derivative of k(i) wrt i.
-3
Let h(x) be the second derivative of 3*x**5/5 + 2*x**3 - 7*x. What is the second derivative of h(g) wrt g?
72*g
Let t(n) = -n - 8. Let m(j) = 5*j + 2. Let s be m(-2). Let u be t(s). Find the second derivative of q**3 - 2*q + u*q**3 + 0*q wrt q.
6*q
Let f(k) = 10*k**3 + 5*k. Let a(s) = 5*s**3 + 2*s. Let x(d) = -7*a(d) + 4*f(d). Find the second derivative of x(h) wrt h.
30*h
Let d(r) be the second derivative of -4*r**7/21 + 2*r**4/3 - 3*r. Find the third derivative of d(v) wrt v.
-480*v**2
Find the second derivative of 2*i + 2*i + 21*i**4 - 37*i**4 wrt i.
-192*i**2
Let r(g) be the first derivative of g**6/30 + g**5/20 - 5*g**2/2 - 2. Let h(d) be the second derivative of r(d). Find the third derivative of h(a) wrt a.
24
Suppose -l + 2*p + 4 = -4, 0 = 2*l - 5*p - 19. What is the third derivative of -6*n**l - n**4 + 6*n**6 + n**4 wrt n?
720*n**3
Let j be (-1)/5 - (-21)/5. Let v(m) = -4*m**2 + 4*m + 9. Let x(d) = -d - 1. Let g(q) = j*x(q) + v(q). Differentiate g(p) with respect to p.
-8*p
Let y(d) be the first derivative of 3*d**4 + 7*d - 36. What is the first derivative of y(c) wrt c?
36*c**2
Let s be (1 - 1)*4/(-4). What is the second derivative of 2*n + s*n**2 + 5*n**2 + 0*n**2 wrt n?
10
Let u(o) = o**3 - o - 1. Let r(b) = -16*b**3 - 20*b - 4. Let w(n) = r(n) - 4*u(n). What is the second derivative of w(g) wrt g?
-120*g
Let z(q) be the first derivative of 2 + 0*q - 1/4*q**4 + 0*q**3 - 1/2*q**2. What is the second derivative of z(o) wrt o?
-6*o
Let h(i) = 23*i**2 - 22*i. Let f(c) = 8*c**2 - 7*c. Let l(j) = 17*f(j) - 6*h(j). Find the second derivative of l(d) wrt d.
-4
Let j be (4/(-6))/((-2)/9). What is the third derivative of 3 + 3*q**2 - j + 3*q**5 - 2*q**2 wrt q?
180*q**2
Suppose 2*v = 2*x + v - 6, 2*x = 3*v + 2. Let l(g) = g - 1. Let s be l(x). What is the derivative of -j**2 + 0 - 2 - s*j**2 + 5*j**2 wrt j?
2*j
Differentiate 6*f**2 - 4 + 0*f**2 + 7 + 7 with respect to f.
12*f
Suppose 4*w - 32 = -0*w. Let c(b) = b**2 - 2*b - 3. Let p(m) = 3*m**2 - 5*m - 8. Let t(j) = w*c(j) - 3*p(j). Find the second derivative of t(x) wrt x.
-2
What is the second derivative of 7*s**4 - 14*s**4 + 8*s + 8*s**4 wrt s?
12*s**2
Let p(j) = -j - 1. Let w(b) = -3*b**3 + 7*b**2 + 6*b + 6. Let t(v) = -6*p(v) - w(v). Find the third derivative of t(q) wrt q.
18
Let r(x) be the second derivative of x**2 + 4*x + 0 - 1/6*x**3. What is the derivative of r(d) wrt d?
-1
Find the second derivative of -7*t + 38*t**5 - 11*t + 15*t wrt t.
760*t**3
Let m(z) be the second derivative of -z**7/3 - 19*z**4/6 - z + 4. Find the third derivative of m(n) wrt n.
-840*n**2
What is the third derivative of -3 + 3 - 18*h**2 + 25*h**2 - 10*h**4 wrt h?
-240*h
Let s = 5 + 17. What is the derivative of -23 + s + 7*z**2 - 3*z**2 wrt z?
8*z
Let j(w) be the third derivative of 1/24*w**4 + 0*w**7 + 8*w**2 - 1/336*w**8 + 0 + 0*w**6 + 0*w**5 + 0*w + 0*w**3. Find the second derivative of j(g) wrt g.
-20*g**3
Let x = 1 - 2. Let y be x + 2 + -1 + 4. Differentiate l**y - 2 + 0*l**4 - 2*l**4 with respect to l.
-4*l**3
Find the third derivative of 8*f**6 + 44 - 44 + 6*f**2 wrt f.
960*f**3
Let f(s) = -12*s**4 - 8*s + 4. Let q(l) = -l**4 - l + 1. Let n(o) = -f(o) + 8*q(o). What is the derivative of n(w) wrt w?
16*w**3
Suppose 22 = q + 4*y, 3*q - 44 = -q - 5*y. Suppose -q*b = -11*b + 25. Find the second derivative of -4*r**5 + 4*r**5 + r**b - 2*r wrt r.
20*r**3
Suppose -4*i + 4 = -8, -5*i + 27 = 4*c. Differentiate -8*r - 8 - c*r + 5*r - 2*r wrt r.
-8
What is the second derivative of -9*k**5 - 10*k - k**5 + 5*k wrt k?
-200*k**3
Find the second derivative of 4*g**3 - 2*g + 0*g + 9*g**3 wrt g.
78*g
Let s(b) = 29*b**3 + 5*b + 7. Let o(c) = -44*c**3 - 8*c - 10. Let g(p) = -5*o(p) - 8*s(p). What is the first derivative of g(m) wrt m?
-36*m**2
Let c = 7 + -9. Let b = c - -5. Find the second derivative of -5 + 0*g + 2*g + 5 + b*g**4 wrt g.
36*g**2
Let i(f) be the second derivative of 0*f**2 + f - 1/30*f**6 - 1/6*f**4 + 0*f**3 + 0*f**5 + 0. What is the third derivative of i(t) wrt t?
-24*t
What is the second derivative of -56*d**4 + 64*d**4 - 14*d + 5*d wrt d?
96*d**2
Let d(l) be the second derivative of -2*l**6/15 + 19*l**2/2 - 13*l. Differentiate d(q) with respect to q.
-16*q**3
Let n(o) be the first derivative of 0*o - 7/5*o**5 + 4*o**2 + 0*o**4 + 0*o**3 + 3. What is the second derivative of n(m) wrt m?
-84*m**2
Let a(h) be the second derivative of h**11/18480 - h**7/2520 + h**4/4 + h. Let n(k) be the third derivative of a(k). Find the third derivative of n(q) wrt q.
360*q**3
What is the second derivative of -j + 3*j**5 + 28*j - 23*j**5 - 2*j wrt j?
-400*j**3
Let p(j) be the second derivative of 7*j + 5/3*j**3 + 0 + 0*j**2 - 1/12*j**4. Find the second derivative of p(l) wrt l.
-2
Let k = 20 + -14. Find the third derivative of 4*i**k + 0*i**6 - 10*i**6 - 7*i**2 wrt i.
-720*i**3
Let z(v) be the third derivative of -v**5/12 - v**3 - v**2. What is the derivative of z(k) wrt k?
-10*k
Let r(n) = -25*n**4 - n - 2. Let z(m) = 26*m**4 + m + 3. Let v(k) = -3*r(k) - 2*z(k). Find the second derivative of v(c) wrt c.
276*c**2
Let x(j) = -j**3 - 9*j**2 + 9*j - 14. Let w be x(-10). Let g be (-4 + -1)*w/10. What is the second derivative of g*q - 3*q**3 - 2*q - q wrt q?
-18*q
Let o(h) be the second derivative of 1/6*h**6 + 0*h**3 + 0*h**5 + 0*h**4 - 1/2*h**2 - 4*h + 0. What is the first derivative of o(v) wrt v?
20*v**3
Let q(g) = -5*g**2 - 3*g + 1. Let n(y) = -4*y**2 - 2*y + 1. Let p be 1/(-2)*(2 + 2). Let c(w) = p*q(w) + 3*n(w). Differentiate c(z) wrt z.
-4*z
Let i(m) = 3*m**2 + 2*m + 1. Let f be i(-1). Suppose 2*l = -5*b + 1, f*l + 3 = b + 10. What is the second derivative of 0*y**3 + 2*y**l + 0*y - y wrt y?
12*y
Let y(s) = 4*s**6 - 7*s**2 + 3*s + 3. Let w(j) = 9*j**6 - 14*j**2 + 7*j + 7. Let g(x) = -3*w(x) + 7*y(x). What is the third derivative of g(m) wrt m?
120*m**3
Let v(a) = -29*a**5 + 9*a**3 - 25*a + 9. Let c(z) = -7*z**5 + 2*z**3 - 6*z + 2. Let i(w) = -9*c(w) + 2*v(w). What is the second derivative of i(o) wrt o?
100*o**3
Differentiate 6*k**2 - 13*k + 13*k + 6 wrt k.
12*k
Let a(k) be the third derivative of -19*k**7/210 + k**5/3 + 21*k**2. What is the third derivative of a(u) wrt u?
-456*u
Let u(m) be the first derivative of -21*m**2 - 10*m - 33. Find the first derivative of u(l) wrt l.
-42
Suppose 0 = -5*k + k. Suppose k = -0*y - y. Find the first derivative of -6*a + y*a + 2 + 4*a wrt a.
-2
Suppose 2*o - o = 1, -11 = -z - 4*o. Find the second derivative of 0*v + 3*v - 4*v**4 - z*v + 0*v**4 wrt v.
-48*v**2
Find the third derivative of -w**2 - 3*w**5 - 2*w**2 - 4*w**2 wrt w.
-180*w**2
Let z(n) = 20*n**4 - 3*n* | {
"pile_set_name": "DM Mathematics"
} |
closest to -3 in 3/7, -5, -0.016?
-5
Which is the closest to -1? (a) -2/7 (b) 5 (c) 4
a
What is the closest to 7 in -5/3, -4, -0.2, -5?
-0.2
Which is the nearest to -2? (a) -4 (b) 4 (c) -3 (d) 1
c
Which is the closest to 13? (a) 1/4 (b) 2 (c) 5/4
b
What is the closest to 4 in 2, -3/7, -0.5?
2
What is the closest to 0 in 4, 0.1, 1/33?
1/33
Which is the nearest to -0.1? (a) -1 (b) -187 (c) -2/3
c
Which is the nearest to 3? (a) 2.6 (b) 4 (c) 1/7
a
Which is the nearest to 1/4? (a) 0.3 (b) 1 (c) 2 (d) -1/11
a
What is the closest to 0 in -11/5, 8, 0.4?
0.4
Which is the nearest to -1/25? (a) 1 (b) -2 (c) -3 (d) -4
a
What is the nearest to 3 in -1, -2/5, -0.6?
-2/5
What is the nearest to -4 in -1/6, 0.32, -0.1, 3/5?
-1/6
What is the closest to 0.4 in -27, 0.1, -5?
0.1
Which is the closest to 1? (a) -3/5 (b) 2/19 (c) 5
b
Which is the closest to 5? (a) -3 (b) -0.4 (c) -5 (d) -7
b
What is the closest to 2/65 in 1, 0.2, 0?
0
What is the nearest to -2/7 in -1/5, 2.1, -2?
-1/5
Which is the closest to -0.06? (a) -2/5 (b) -1/4 (c) 1250 (d) -4
b
What is the closest to -1 in -191, 5, 0.5, -0.1?
-0.1
Which is the nearest to -5? (a) -4 (b) 0 (c) 0.3
a
What is the closest to 2 in -2, 1, -18, 1/7?
1
What is the closest to -0.16 in -1/7, 2/5, 1.3, 0.1?
-1/7
What is the closest to -2 in -5, 1/7, -0.4, -1?
-1
Which is the nearest to 2/5? (a) 339 (b) 0.1 (c) -3
b
Which is the closest to 0.1? (a) 1 (b) 7 (c) -0.07
c
Which is the closest to -0.2? (a) 3 (b) 1 (c) -2/9 (d) -10
c
Which is the nearest to 3? (a) -0.9 (b) 4 (c) -8
b
Which is the closest to -3? (a) -4/5 (b) -27 (c) -0.2
a
What is the nearest to -0.4 in -4, -1, -2, -0.2?
-0.2
What is the closest to 1/2 in -3, 1, -4, 2?
1
Which is the nearest to -2/7? (a) 2/5 (b) 864 (c) -3
a
What is the closest to 15.1 in 2/5, -0.05, -1?
2/5
Which is the nearest to -56? (a) 5 (b) 1/11 (c) 4 (d) -5
d
What is the closest to -10 in 5, 2/7, -4, 4?
-4
Which is the closest to -6? (a) 2/3 (b) -5 (c) 5 (d) -0.5
b
What is the nearest to -1 in -2/267, -4, 0.3?
-2/267
Which is the closest to -0.1? (a) 3 (b) 0 (c) -3 (d) -2
b
What is the closest to 0.01 in 0.1, 3/2, 7?
0.1
What is the closest to 0 in -0.1, 0.82, -1, 0?
0
Which is the closest to -1? (a) -0.34 (b) 0.4 (c) -0.1 (d) 4
a
What is the closest to -2/75 in -69, 5, 0.5?
0.5
Which is the closest to 1/22? (a) 5 (b) -1 (c) 1/15
c
Which is the nearest to -2? (a) -1/3 (b) -0.1 (c) 0.4 (d) 0.07
a
What is the closest to -1/4 in 0, -3.8, 0.3, -4?
0
Which is the nearest to -1? (a) 1/2 (b) 5/4 (c) 174 (d) 43
a
Which is the closest to 0.06? (a) -0.5 (b) 8/3 (c) -0.2 (d) -6/5
c
Which is the nearest to -1? (a) -0.1 (b) -0.5 (c) -2
b
Which is the nearest to -357? (a) 2/21 (b) 2 (c) -0.1 (d) -2
d
What is the nearest to 15 in -1, 1, 2, -0.3?
2
What is the nearest to 2/9 in 0.4, -1.4, 8?
0.4
Which is the closest to 6? (a) 2 (b) -4/7 (c) -0.07
a
What is the nearest to -1 in -2, 6/5, 2/13?
-2
Which is the closest to -5? (a) -39 (b) -0.4 (c) -4 (d) -5
d
What is the nearest to 0.069 in 4, -3, -2/7?
-2/7
Which is the closest to -2/5? (a) -0.1 (b) 0.28 (c) 3
a
Which is the nearest to 2? (a) 0 (b) 9 (c) 9/4
c
What is the nearest to 35/31 in 0.2, -0.2, 0, -2?
0.2
What is the closest to -6 in -6/5, 0.2, -0.03, 4?
-6/5
Which is the closest to 1? (a) 5 (b) -9 (c) -2/11
c
Which is the nearest to 2/7? (a) 0.1 (b) 0.5 (c) 2/11 (d) 3
c
Which is the closest to 1? (a) -2/7 (b) 6 (c) -0.04 (d) 4
c
Which is the nearest to -2/5? (a) 4 (b) 4/5 (c) -5 (d) 0.04
d
What is the closest to 4/3 in 2/9, -3/2, 3?
2/9
Which is the closest to 12? (a) -3/4 (b) 2 (c) 1 (d) -15
b
What is the nearest to 1 in 16, 8, 5/6?
5/6
Which is the nearest to 2? (a) 5 (b) 2/5 (c) 4.01
b
Which is the nearest to 28? (a) -4 (b) 3 (c) -5
b
Which is the closest to -3? (a) 0.4 (b) 7 (c) -2/3 (d) 5
c
Which is the closest to -2/11? (a) 1/3 (b) -19 (c) 2/5
a
Which is the nearest to -1/3? (a) 0.3 (b) -1/5 (c) -6/5
b
What is the nearest to 3/8 in -2, 3, 0.4, -2/5?
0.4
What is the closest to 0.2 in 0, 0.2, 0.014, 7?
0.2
Which is the closest to 4? (a) 1 (b) 0.2 (c) 0
a
Which is the nearest to 14? (a) 1/6 (b) 1/4 (c) 3 (d) 3/5
c
Which is the closest to -2? (a) -0.5 (b) 0.0738 (c) 4
a
Which is the nearest to 0? (a) 1 (b) -4 (c) -1/3 (d) 2/85
d
What is the closest to -5 in -0.4, -1/11, -1, -0.2?
-1
Which is the closest to -2/5? (a) -2/11 (b) -3 (c) -67
a
Which is the nearest to -0.2? (a) -0.4 (b) 2 (c) -2/7
c
What is the closest to 2 in 0.4, 4/3, 1/5, 0.6?
4/3
Which is the nearest to 3/7? (a) 1/8 (b) 150 (c) 2/9
c
What is the closest to 1/2 in 4, 3/4, -4/51?
3/4
What is the closest to 0.1 in -550, 2, 0.1?
0.1
Which is the closest to 0? (a) -10/3 (b) 0.4 (c) 4
b
What is the nearest to 2 in -1/31, 1/5, 2/3?
2/3
Which is the closest to -8? (a) 4 (b) -0.1 (c) 5
b
Which is the nearest to 487? (a) 2/23 (b) 1 (c) 1/3
b
What is the closest to 1/5 in -0.2, 1, -16/3?
-0.2
What is the nearest to 13 in 7/2, 0.2, -2/7?
7/2
Which is the closest to 2/7? (a) -0.1 (b) -29 (c) 0.4 (d) -3
c
What is the closest to -15 in 3/5, 0.5, 2/9?
2/9
What is the nearest to 0.1 in -1, 2, 0.031, -12?
0.031
Which is the nearest to -1/8? (a) -3/2 (b) -3 (c) 0.09 (d) 0.4
c
Which is the nearest to 0.4? (a) 0.4 (b) 2/11 (c) -3
a
What is the nearest to 0 in -2, -2/11, -7, -3?
-2/11
What is the nearest to 2/15 in 0, 0.08, -0.2, 5?
0.08
What is the nearest to 1/2 in -2, -0.3, 0.3, -4?
0.3
Which is the nearest to -2/13? (a) -0.5 (b) -11/6 (c) -1/11 (d) -5
c
Which is the closest to -0.2? (a) -0.064 (b) -0.4 (c) -0.5
a
What is the closest to 1 in -6, -3, 0.2, -1/6?
0.2
What is the nearest to -2/3 in 7, -3/4, -0.2?
-3/4
Which is the nearest to -2? (a) 4/7 (b) -1 (c) -4
b
What is the nearest to -0.1 in -1.46, -0.05, 1?
-0.05
What is the closest to -2/7 in -0.3, 5, -3, 4/7?
-0.3
What is the closest to 0.1 in -0.09, 4, -0.7, -11?
-0.09
What is the nearest to 1/3 in -18/5, 0.1, -5/6?
0.1
Which is the closest to 0.2? (a) 2 (b) 4 (c) -0.0728
c
What is the closest to -0.3 in 5, 3, -12, -3?
-3
What is the nearest to -2/9 in -2/7, -0.1, -1/7, 0?
-2/7
What is the nearest to 1.1 in -0.5, -26, -5?
-0.5
What is the nearest to 7 in -0.3, 1/31, -0.4?
1/31
Which is the nearest to -1/2? (a) 0 (b) -9 (c) -0.05 (d) 3
c
Which is the nearest to -2/5? (a) 0.396 (b) 1 (c) -4
a
Which is the nearest to 2/11? (a) -0.4 (b) -2/13 (c) -0.6 (d) 1/6
d
What is the nearest to 0 in 0.2, -14, -3?
0.2
What is the closest to -39 in 4/5, -0.4, -1/2, 53?
-1/2
What is the nearest to 1/4 in -2, 4, 0.07?
0.07
What is the nearest to -1 in 2/9, 6, 21?
2/9
What is the closest to -7 in -3/4, -0.2, 9/2, -5?
-5
What is the nearest to 1 in 6, -2/5, 3?
-2/5
Which is the closest to -0.6? (a) 2 (b) 8 (c) 1 (d) -4/3
d
What is the closest to 4/7 in -0.1, 3, 0.1, -0.4?
0.1
What is the nearest to 0.1 in 3, 5.7, 0, -3?
0
What is the closest to 2/5 in -0.3, -12/13, 4, -2?
-0.3
Which is the closest to 2? (a) 6/5 (b) -1/4 (c) -0.2 (d) -3
a
Which is the closest to -1? (a) 3 (b) 0.3 (c) 0.05
c
What is the nearest to -0.1 in -1.34, 3, 2, 0.3?
0.3
Which is the nearest to 0.1? (a) -0.5 (b) -4 (c) -5
a
Which is the closest to 1? (a) 4 (b) 110 (c) -1
c
Which is the nearest to -1/2? (a) -7/2 (b) 3 (c) -14
a
What is the nearest to 1 in 3/2, 4, 0.18?
3/2
Which is the nearest to 6/5? (a) -5 (b) 0.2 (c) 4 (d) 1
d
Which is the nearest to 0.2? (a) -5 (b) -1/3 (c) 0.6 (d) -0.5
c
What is the nearest to -2 in -5, 0.01, 3, 1/2?
0.01
What is the closest to -2 in 10, 3, -2/11, -1/3?
-1/3
Which is the closest to 22/3? (a) -3/4 (b) 0 (c) 3/7 (d) 0.4
c
Which is the closest to 2? (a) -3 (b) 0.1 (c) 0.5
c
What is the nearest to 0 in 27, -5, 1, -2?
1
Which is the nearest to 1? (a) 1 (b) 17.2 (c) 4
a
What is the closest to -2 in -4/7, 20, 3, 2?
-4/7
Which is the nearest to -1? (a) 0 (b) -27 (c) 3
a
Which is the closest to 0? (a) -4 (b) 0.3 (c) -2 (d) 168
b
What is the closest to -1/4 in -3, -36/13, 6/13, 3?
6/13
What is the closest to -2/5 in -2/9, -1/10, -2?
-2/9
Which is the closest to -0.15? (a) -0.2 (b) -7 (c) -0.3
a
What is the | {
"pile_set_name": "DM Mathematics"
} |
t y be w/((-5)/((-15)/6)). Solve y = -s + 2 - 5 for s.
-3
Let n(m) = m - 5. Let r be n(7). Suppose 0 = c + r*c - 15. Solve 8 + 12 = c*a for a.
4
Suppose -3*h + 5*k = 3 + 5, 0 = 5*h - 5*k + 10. Let y = 3 + h. Solve -5*q - y + 12 = 0 for q.
2
Suppose -17 = 2*p - 25. Let m be 50/8 + 2/(-8). Let n be ((-2)/(-5))/((-2)/(-30)). Solve -n*c = -p*c - m for c.
3
Suppose 0 = -d - 4 - 0. Let k(j) = -j**2 - 7*j - 8. Let i be k(d). Solve -i*w + 2*w = 6 for w.
-3
Let b = -196 + 208. Solve 4*h + b = h for h.
-4
Suppose -d - 4*d = -35. Let i = 7 - d. Solve i*w - 10 = -5*w for w.
2
Suppose -x - x = -8. Suppose -22 = -s + x*j, 2*j + 45 = 3*s - 3*j. Let z be (9/(-1))/((-3)/2). Solve -4*b - z = s for b.
-4
Let t = 21 + -6. Suppose 0 = -2*h + 5*g + 14, -4*h = -h + g - 4. Solve -h*d - d = -t for d.
5
Let d = 16 - 14. Solve 5*g = d*g for g.
0
Suppose 3*z + 13 = f + 7*z, 0 = 3*f - 2*z - 25. Let x be (-27)/(-6)*6/f. Solve -1 = -a + x for a.
4
Suppose -5*s + 176 = -s. Suppose m - j - 4 = 0, -s = -0*m - 3*m - 5*j. Solve 0*o + m = 2*o for o.
4
Let a = 29 + -42. Let c be 1/(a/(-4) + -3). Solve -c = -r - r for r.
2
Let i(q) = q**3 - 4*q**2 + 3*q - 8. Let n be i(4). Solve -w - 12 = -n*w for w.
4
Let p(v) = -v**3 - 9*v**2 - 7*v + 10. Let n be p(-8). Let b(z) = 2*z**2 - 2*z + 2. Let u be b(n). Let r be (3/3 - u)*-1. Solve r*w = -10 - 5 for w.
-3
Let b be (-54)/(-8) - 2/(-8). Let i be 6/(-21) - (-90)/21. Solve b*s = i*s for s.
0
Let w(s) = -s**2 + 8*s - 7. Let n be w(6). Solve 0 = n*o + 1 - 6 for o.
1
Let y(j) = 2*j**2 + 2*j. Let h be y(-2). Suppose -5*o - 20 = -4*f, -3*o - 12 = 6*f - f. Solve f + h = -2*t for t.
-2
Suppose 4*a - 18 = 4*h + 18, 20 = -5*h. Suppose 0 = -a*d + 4 + 6. Suppose w + l = 3, 4 + 5 = d*w - l. Solve w*i = -0*i for i.
0
Suppose 0 = 5*n - 2*n + 6. Let r(b) = -b**2 - b + 2. Let h be r(n). Solve h = -0*x + 3*x - 9 for x.
3
Suppose 4*j = 41 - 29. Solve -j*d + 3 = -6 for d.
3
Suppose 4*y + 4*a + 5 = a, -5 = y + 2*a. Solve -y = n - 3 for n.
2
Let m be 1/(-2) - 11/2. Let l = -3 - m. Solve 0 = -h - 0*h - l for h.
-3
Suppose -2*q + 9 - 3 = 0. Solve -o = -q*o - 6 for o.
-3
Let d(h) = 5*h - 18. Let u be d(4). Solve -c = -u - 2 for c.
4
Let a(l) = -l**2 - 11*l - 12. Let o be a(-9). Solve d + d + o = 0 for d.
-3
Let y = -4 - -6. Let s(f) = 3 + y + 5 + f. Let a be s(-7). Solve -a*q - 5 = 2*q for q.
-1
Let t(y) = -11*y**2 - 23*y - 6. Let n(d) = -5*d**2 - 11*d - 3. Let f(m) = -9*n(m) + 4*t(m). Let h be f(-7). Solve -o - 2 = -h*o for o.
1
Let k = -2 - -4. Let h be (40/48)/(k/12). Solve -10 = 3*c + h for c.
-5
Let r = 3 + 0. Suppose r*f = -2*h - 2, 0 = 3*h + 9 + 3. Solve 5*w = f + 18 for w.
4
Let s be 50/18 - (-1)/(45/10). Let m(d) = -d**2 + 4*d + 5. Let r be m(5). Solve -9 = s*p - r*p for p.
-3
Suppose -6 = -4*d + 10. Suppose -d = -5*s + 31. Solve 2*a - 3 = -s for a.
-2
Let d(b) = -b**2 + 8*b - 3. Let n be d(7). Suppose 85 = 5*z + 5*k, 5*z - n*k + 21 = 106. Let i = z + -10. Solve -2*w + i = -1 for w.
4
Let j(u) = -u**3 + 5*u**2 + 5*u + 8. Let i be j(6). Solve -i*c = 7 + 1 for c.
-4
Let x = -32 + 10. Let v be (-40)/x - (-6)/33. Solve 12 = -v*y + 2 for y.
-5
Suppose 0*g + 4*g = 0. Suppose -3*x + 37 = 5*l, -4*l = -x - 4*x. Solve g*c + l*c = -20 for c.
-4
Let r(k) = -k + 4. Suppose 0 = -4*q + 4*t, 0 = -0*q - q + 4*t. Suppose 0 = -2*v + 2*d - 2, q*v - 2*d + 14 = 2*v. Let g be r(v). Solve 0 = u - g for u.
1
Let h be 1 - 5/(-10)*2. Suppose 0 = -2*t - t. Solve t*q - h*q = 10 for q.
-5
Let y(l) = -l**3 - 6*l**2 - l - 3. Let b be y(-6). Suppose 13 = b*f - j, -4*j - 20 = 3*f - 7*f. Let g be 1 - 0 - 9/(-1). Solve f*r + g = -r for r.
-2
Let u = 3 + -2. Let r = -14 - -33. Suppose 63 = 4*p + r. Solve u - p = -2*l for l.
5
Let u be -3*(2 - 5/3). Let g = -1 - u. Suppose -a - 2*a = 4*x - 21, -a + 5*x - 12 = 0. Solve -3*z = -g*z - a for z.
1
Suppose l + 5 = -0. Let b = -19 + 16. Let d = b - l. Solve -d*g = -0*g for g.
0
Let x(v) be the first derivative of v**4/4 + 7*v**3/3 + 5*v + 2. Let b be x(-7). Suppose -b - 10 = -5*q. Solve q*z = 4*z - 5 for z.
5
Let g be (-1)/(-6) - (-141)/18. Solve -g = 5*y + 2 for y.
-2
Suppose 0 = n - 4*n. Solve 2*j = -n*j for j.
0
Suppose -2*w + 4 = 2. Suppose -4*c - 5 = 7. Let h be 7 - 1 - 3 - c. Solve w = -5*f + h*f for f.
1
Let d be -5*(-3 - 13/(-5)). Let s(k) = 6*k - 2*k - 3 + 10 - 4*k**2 + k**3 - 2*k**d. Let y be s(5). Solve 0*m - 10 = -y*m for m.
5
Suppose -2*l + 5*y = -35, -3*l - 2*y = -0*l - 62. Solve -5*r + l = -0*r for r.
4
Let c be ((-14)/(-21))/(4/(-66)). Let j(n) be the second derivative of -n**3/6 - 9*n**2/2 - n. Let i be j(c). Solve -i*b = -3*b - 5 for b.
-5
Suppose -2*s = -4*n - 6, 0*n + 3 = s - 4*n. Solve -s*z = z - 8 for z.
2
Suppose 5*k + 5 = -3*s, 4*s + 8 + 16 = 2*k. Let r = 16 + -6. Suppose t = -t + r. Solve 0 = t*o - 3*o + k for o.
-1
Suppose -7 = -5*v - 2*r, v = -3*r + 2 + 2. Suppose 0 = -3*m - s + 26, m - 5*s = 21 - 7. Suppose 4*t - m + v = 0. Solve -t + 12 = 5*y for y.
2
Suppose 3*z - 5*l = 2, 0*z - 14 = -2*z - 3*l. Solve g - 3 = z*g for g.
-1
Let z(m) = -3*m + 56. Let j = -7 + 13. Let g(h) = -h + 19. Let v(w) = j*z(w) - 17*g(w). Let n be v(8). Solve -1 - 9 = n*u for u.
-2
Suppose 2*v = v + 6. Solve -3*h - 9 = -v*h for h.
3
Let m be (-2)/(1 + 1 + -1). Let b be m*(2 + 19/(-2)). Solve r + 4*r + b = 0 for r.
-3
Let z be 0/((-1)/(-2 - -1)). Suppose 3*g - 6 = -u, g - 5*u - 3 = -1. Let r be (-4)/(-6) - (-12)/9. Solve g*i + z = -r for i.
-1
Suppose -5*d + 5*t + 30 = 0, 0*d - 3*d = 3*t - 12. Suppose x = -3*x + 12. Solve d*h - x = -23 for h.
-4
Let g(l) = -l**2 - 7*l - 1. Let c be g(-6). Suppose -1 = -3*y + c. Solve -y*h = -4*h + 2 for h.
1
Suppose 0 = 27*u - 28*u + 6. Solve b - 3*b - u = 0 for b.
-3
Let v(j) = j**2 - j + 3. Let i(x) = -x + 4. Let l be i(2). Let w be 4/(-4)*0/l. Let t be v(w). Solve 8*q = t*q - 20 for q.
-4
Suppose -s = -4*b - 3*s + 22, 0 = 2*b + 4*s - 26. Suppose 2*f - 3 = -5*q, 0*q + f = b*q + 7. Let g = q + 4. Solve -g*o + 7 = 19 for o.
-4
Let d(v) = v**3 - 14*v**2 - 15*v + 3. Let p be d(15). Solve -10 - 5 = -p*s for s.
5
Let x(a) = a**2 + 3*a. Let o be x(-4). Let m(j) = 5*j - 18. Let l be m(4). Solve o*n + l = -14 for n.
-4
Suppose -3*l - 10 = -5*k, -5*k + 0*l + 10 = 4*l. Solve 15 = -d - k*d for d.
-5
Let n = 4 + -2. Let q be (1 + -2)/((-1)/n). Solve -2*y - q*y = -20 for y.
5
Let u be (0 + 1)*-1 - -6. Suppose -5*b = 15 - 0. Let y = u + b. Solve 0*m - y*m + 8 = 0 for m.
4
Let a(i) = -5*i + 7. Let s(h) = -3*h + 4. Let z(x) = -6*a(x) + 11*s(x). Let w be z(-6). Solve 0 = 5*j + w for j.
-4
Let x be -2 + 4 - 2*1. Suppose 0*c - 3*c + 3 = 0. Let b(p) = 3*p**3 - p**2 - p + 1. Let t be b(c). Solve -6 = t*o - x for o.
-3
Let u be (-1)/(-3)*(6 + 6). Solve -4*n - 24 = -u for n.
-5
Suppose n = 2 + 1. Suppose 0 = -u - d - 2 + n, -2*u + 2*d = -2. Solve -5*x = -u - 4 for x.
1
Suppose 5*d - 19 = -4, 0 = -z + 4*d - 10. Solve 0 = -0*g + g - z for g.
2
Suppose q + 6*q - 3*q = 0. Solve q = -2*g - 8 for g.
-4
Let t = -27 - -28. Let w = t - 1. Solve w = -h - 2*h - 15 for h.
-5
Suppose 2*z - 8 = -0*z. Solve -z*y + y - 3 = 0 for y.
-1
Suppose -4*x + 2*c + 140 = -0*x, -5*x - 4*c + 175 = 0. Suppose -4*j + 5*h - 40 = 0, -2*j - 5*h - x = -j. Let o = -9 - j. Solve -o*l + 5 = -l for l.
1
Suppose -7*k + 2*k + 55 = 0. Suppose -4*l + 2*l - 5*o = k, -16 = -5*l + 2*o. Suppose -l*j = -2*t - 8, -5*t + 0*j - 5*j = -20. Solve -3*x - x - 8 = t for x.
-2
Let w(r) = r**3 - 2*r**2 - 4*r - 1. Let c be w(-1). Solve g = -c*g for g.
0
Let c be (1 + 0/(-2))/1. Suppose -9*i + 12*i - 51 = 0. Solve c - i = -4*h for h.
4
Let o be (-21)/(-14) + 37/2. Solve -g = 3*g - o for g.
5
Let j be 4/(-14) - 9/(-7). Suppose n = -j - 9. Let c be (-30)/4*16/n. Solve r + 3*r = c for r.
3
Suppose 0 = 4*n - 0*n + 664. Let v be 5/(0 + 2/n). Let a be v/(-45) + (-4)/18. Solve -a + 3 = 3*w for w.
-2
Let l = 20 + -52. Let a be l/(-18) - 10/(-45). Solve -3*m + 25 = a*m for m.
5
Let j be 416/78 + (-4)/(-6). Solve -5*b = -2*b - j for b.
2
Suppose -3*x - 18 + 6 = 0. Let t = -1 - -5. Let m be 1*x*(-6)/t. Solve 4*u = -m + 2 for u.
-1
Suppose 2*b + t + t - 8 = 0, -6 = -3*t. Let r be ((-7)/2)/(3/6). Let s(u) = -u**3 - 6*u**2 + 6*u - 7. Let m be s(r). Solve -2 = b*f - m for f.
-1
Let s be -1 + (-9 + -2)/(-1). Let a(n) = -n**3 + 9*n**2 + 11*n - 10. Let f be a(s). Solve f*k = 5*k + 15 for k.
-3
Suppose 5*r - 2 | {
"pile_set_name": "DM Mathematics"
} |
- 12*t - 16
What is the v'th term of 3718, 3720, 3722, 3724, 3726?
2*v + 3716
What is the p'th term of 11, 15, 21, 29, 39, 51, 65?
p**2 + p + 9
What is the q'th term of 32, 3, -44, -109, -192?
-9*q**2 - 2*q + 43
What is the w'th term of 18, 62, 132, 228, 350, 498?
13*w**2 + 5*w
What is the d'th term of -84, -172, -256, -336, -412, -484, -552?
2*d**2 - 94*d + 8
What is the t'th term of 621, 631, 643, 657, 673, 691, 711?
t**2 + 7*t + 613
What is the t'th term of -12, -27, -42?
-15*t + 3
What is the z'th term of -357, -733, -1115, -1497, -1873, -2237, -2583, -2905?
z**3 - 9*z**2 - 356*z + 7
What is the r'th term of -189, -376, -563, -750?
-187*r - 2
What is the l'th term of 18, 23, 30, 39, 50?
l**2 + 2*l + 15
What is the g'th term of 358, 1434, 3228, 5740, 8970, 12918?
359*g**2 - g
What is the z'th term of 22, 74, 158, 280, 446, 662?
z**3 + 10*z**2 + 15*z - 4
What is the a'th term of -1242, -2481, -3720?
-1239*a - 3
What is the b'th term of -352, -703, -1054?
-351*b - 1
What is the o'th term of -5, -59, -149, -275, -437, -635?
-18*o**2 + 13
What is the i'th term of -78, -76, -74, -72?
2*i - 80
What is the z'th term of 1100, 2202, 3304, 4406, 5508, 6610?
1102*z - 2
What is the p'th term of 236, 457, 656, 821, 940, 1001?
-2*p**3 + p**2 + 232*p + 5
What is the i'th term of 301, 601, 901, 1201, 1501?
300*i + 1
What is the m'th term of -3, 8, 25, 48?
3*m**2 + 2*m - 8
What is the s'th term of -273, -559, -845, -1131, -1417, -1703?
-286*s + 13
What is the h'th term of -1202, -2406, -3610?
-1204*h + 2
What is the h'th term of 1352, 1350, 1348, 1346?
-2*h + 1354
What is the s'th term of -39, -352, -1207, -2874, -5623?
-45*s**3 - s**2 + 5*s + 2
What is the t'th term of 7562, 7558, 7554?
-4*t + 7566
What is the t'th term of -13, 7, 39, 83, 139, 207?
6*t**2 + 2*t - 21
What is the a'th term of -45, -200, -471, -870, -1409, -2100?
-2*a**3 - 46*a**2 - 3*a + 6
What is the x'th term of 111, 109, 107, 105, 103?
-2*x + 113
What is the i'th term of 1404, 1405, 1406?
i + 1403
What is the x'th term of -176, -181, -188, -197, -208, -221, -236?
-x**2 - 2*x - 173
What is the m'th term of -119, -120, -107, -74, -15, 76, 205?
m**3 + m**2 - 11*m - 110
What is the r'th term of 186, 372, 558, 744?
186*r
What is the x'th term of -12, -18, -24, -30?
-6*x - 6
What is the n'th term of -144, -617, -1412, -2535, -3992, -5789?
-n**3 - 155*n**2 - n + 13
What is the m'th term of 27, 59, 103, 165, 251, 367, 519?
m**3 + 25*m + 1
What is the d'th term of 56, 105, 146, 173, 180, 161?
-d**3 + 2*d**2 + 50*d + 5
What is the g'th term of 128, 11, -106, -223, -340?
-117*g + 245
What is the r'th term of 3, -18, -49, -96, -165, -262?
-r**3 + r**2 - 17*r + 20
What is the u'th term of 1821, 1819, 1817?
-2*u + 1823
What is the m'th term of 27, 60, 93, 126, 159?
33*m - 6
What is the b'th term of -1689, -1696, -1707, -1722, -1741?
-2*b**2 - b - 1686
What is the l'th term of 639, 700, 753, 792, 811, 804, 765, 688?
-l**3 + 2*l**2 + 62*l + 576
What is the x'th term of -24, -31, -38, -45, -52?
-7*x - 17
What is the t'th term of 1779, 3559, 5339, 7119, 8899?
1780*t - 1
What is the i'th term of 6, -37, -114, -225, -370, -549?
-17*i**2 + 8*i + 15
What is the i'th term of 27, 45, 63, 81?
18*i + 9
What is the z'th term of 25, 64, 103, 142, 181, 220?
39*z - 14
What is the k'th term of -398, -397, -396, -395, -394, -393?
k - 399
What is the p'th term of -67, -80, -103, -142, -203, -292, -415, -578?
-p**3 + p**2 - 9*p - 58
What is the u'th term of -176, -175, -164, -137, -88, -11, 100, 251?
u**3 - u**2 - 3*u - 173
What is the h'th term of -10, -4, 12, 38, 74, 120, 176?
5*h**2 - 9*h - 6
What is the p'th term of -192, -206, -254, -354, -524, -782, -1146, -1634?
-3*p**3 + p**2 + 4*p - 194
What is the m'th term of -50, -35, -16, 7, 34, 65, 100?
2*m**2 + 9*m - 61
What is the a'th term of -458, -925, -1392, -1859, -2326, -2793?
-467*a + 9
What is the n'th term of -73, -160, -259, -370, -493?
-6*n**2 - 69*n + 2
What is the o'th term of -8359, -8358, -8357, -8356?
o - 8360
What is the p'th term of 6, 18, 32, 48, 66, 86, 108?
p**2 + 9*p - 4
What is the q'th term of -3082, -6167, -9252?
-3085*q + 3
What is the y'th term of 9, 33, 77, 141, 225, 329, 453?
10*y**2 - 6*y + 5
What is the m'th term of -6, 19, 54, 93, 130, 159, 174, 169?
-m**3 + 11*m**2 - m - 15
What is the b'th term of -2145, -2151, -2171, -2211, -2277, -2375, -2511?
-b**3 - b**2 + 4*b - 2147
What is the i'th term of 85, 121, 181, 265?
12*i**2 + 73
What is the g'th term of 181, 161, 141, 121, 101?
-20*g + 201
What is the t'th term of -10, -19, -28, -37, -46, -55?
-9*t - 1
What is the c'th term of -45, -15, 41, 135, 279, 485?
2*c**3 + c**2 + 13*c - 61
What is the g'th term of -278, -278, -270, -248, -206, -138, -38?
g**3 - 2*g**2 - g - 276
What is the c'th term of -1164, -2330, -3496, -4662, -5828?
-1166*c + 2
What is the w'th term of -7, -3, 3, 11, 21, 33, 47?
w**2 + w - 9
What is the l'th term of -3, -47, -149, -333, -623, -1043, -1617?
-4*l**3 - 5*l**2 - l + 7
What is the h'th term of 1072, 2134, 3196, 4258, 5320, 6382?
1062*h + 10
What is the a'th term of -15, -24, -33, -36, -27?
a**3 - 6*a**2 + 2*a - 12
What is the b'th term of -84, -77, -84, -111, -164, -249, -372?
-b**3 - b**2 + 17*b - 99
What is the z'th term of -6235, -6236, -6237, -6238, -6239, -6240?
-z - 6234
What is the x'th term of 57, 117, 177, 237, 297, 357?
60*x - 3
What is the c'th term of 147, 149, 151, 153, 155?
2*c + 145
What is the h'th term of 53, 514, 1775, 4238, 8305, 14378, 22859, 34150?
67*h**3 - 2*h**2 - 2*h - 10
What is the s'th term of 44, 68, 78, 68, 32?
-s**3 - s**2 + 34*s + 12
What is the x'th term of 68, 132, 194, 254?
-x**2 + 67*x + 2
What is the m'th term of 625, 626, 627, 628?
m + 624
What is the b'th term of 14, 24, 38, 56, 78?
2*b**2 + 4*b + 8
What is the d'th term of -37, -309, -771, -1429, -2289, -3357?
-d**3 - 89*d**2 + 2*d + 51
What is the n'th term of -26, -51, -74, -95, -114, -131, -146?
n**2 - 28*n + 1
What is the h'th term of -24, -55, -112, -207, -352, -559, -840?
-2*h**3 - h**2 - 14*h - 7
What is the d'th term of 214, 210, 204, 196?
-d**2 - d + 216
What is the p'th term of 93, 388, 885, 1590, 2509?
p**3 + 95*p**2 + 3*p - 6
What is the w'th term of 43, 63, 117, 223, 399, 663, 1033, 1527?
3*w**3 - w**2 + 2*w + 39
What is the p'th term of 64, 57, 50, 49, 60, 89, 142, 225?
p**3 - 6*p**2 + 4*p + 65
What is the b'th term of 28, 23, 14, 1, -16?
-2*b**2 + b + 29
What is the s'th term of 19, 8, -7, -26, -49, -76?
-2*s**2 - 5*s + 26
What is the x'th term of -80, -71, -56, -35, -8, 25, 64?
3*x**2 - 83
What is the b'th term of 13, 1, -25, -71, -143, -247, -389, -575?
-b**3 - b**2 - 2*b + 17
What is the m'th term of 6, 4, -2, -12?
-2*m**2 + 4*m + 4
What is the w'th term of 12, 16, 22, 30?
w**2 + w + 10
What is the j'th term of 257, 262, 277, 308, 361, 442, 557?
j**3 - j**2 + j + 256
What is the c'th term of 76, 166, 306, 490, 712, 966, 1246, 1546?
-c**3 + 31*c**2 + 4*c + 42
What is the t'th term of 66, 68, 70?
2*t + 64
What is the k'th term of -42, -196, -452, -810, -1270?
-51*k**2 - k + 10
What is the a'th term of 357, 715, 1073, 1431?
358*a - 1
What is the r'th term of 103, 108, 125, 160, 219?
r**3 - 2*r + 104
What is the x'th term of -749, -1505, -2261?
-756*x + 7
What is the q'th term of 82, 71, 70, 85, 122, 187, 286?
q**3 - q**2 - 15*q + 97
What is the p'th term of 5, 35, 95, 191, 329, 515, 755, 1055?
p**3 + 9*p**2 - 4*p - 1
What is the l'th term of 120, 114, 104, 90, 72, 50, 24?
-2*l**2 + 122
What is the c'th term of 25, 54, 89, 130?
3*c**2 + 20*c + 2
What is the v'th term of 41, 237, 433, 629, 825, 1021?
196*v - 155
What is the l'th term of 12, 41, 102, 201, 344, 537, 786, 1097?
l**3 + 10*l**2 - 8*l + 9
What is the k'th term of -1282, -1280, -1278, -1276, -1274, -1272?
2*k - 1284
What is the k'th term of 72, 238, 514, 900?
55*k**2 + k + 16
What is the i'th term of 7, 24, 67, 148, 279, 472?
2*i**3 + i**2 + 4
What is the d'th term of -24, -98, -220, -390, -608, -874?
-24*d**2 - 2*d + 2
What is the n'th term of 15, 20, 33, 60, 107, 180?
n**3 - 2*n**2 + 4*n + 12
What is the w'th term of -32, -84, -158, -248, -348?
w**3 - 17*w**2 - 8*w - 8
What is the r'th term of -2314, -4625, -6936, -9247?
-2311*r - 3
What is the h'th term of -909, -914, -921, -930?
-h**2 - 2*h - 906
| {
"pile_set_name": "DM Mathematics"
} |
sqrt(576))*-5).
sqrt(3)/360
Simplify (2*-2*sqrt(200)*5)/(3*sqrt(250) - sqrt(30)/(sqrt(3)*2)).
-80*sqrt(5)/29
Simplify ((5 + -2*sqrt(1216) + 5)*-1)**2 - ((sqrt(190)*1*5 + sqrt(190) - sqrt(190))/sqrt(10) - (-1 + (sqrt(19) - sqrt(1900)*-1)))**2.
-308*sqrt(19) + 4279
Simplify (-3*(-2 + 0 + sqrt(1300) + -5 + -5)*6)**2*6.
-466560*sqrt(13) + 2807136
Simplify 4 + ((4 + sqrt(605) + -1*sqrt(605))*1 - ((-4*(0 + sqrt(605)))**2 + -1*sqrt(605) + -1 + sqrt(605))) + -4.
-9675
Simplify -5*(6*((sqrt(171) + 1*sqrt(171))*-3 + 5 - 3*(0 + sqrt(171) + 0 - sqrt(171))))**2.
-1112580 + 32400*sqrt(19)
Simplify ((sqrt(600) - sqrt(600)*-2*-2) + sqrt(600)*-2*-2)/(2*((sqrt(192)*-2)/sqrt(8))/sqrt(12)).
-5*sqrt(3)/2
Simplify 5 + ((4 + -2*5*(sqrt(931)*1 + sqrt(931) + 2))*5 + -1)**2.
113400*sqrt(19) + 9316566
Simplify 3 + (((sqrt(294) + sqrt(294) + 1*sqrt(294))/sqrt(7))/sqrt(6) + 2)**2 + (sqrt(42)/(sqrt(42)/sqrt(7)))**2 + sqrt(343)*4 + sqrt(343).
77 + 47*sqrt(7)
Simplify (5 + 1 + -1*((sqrt(432) + 3)*5 - sqrt(432))*-1 + 3)**2.
2304*sqrt(3) + 7488
Simplify sqrt(34)/(sqrt(200) + sqrt(200)*2)*-4 + (-4*(-1 + sqrt(2448)) - (3 + -2*sqrt(2448)))**2.
-722*sqrt(17)/15 + 9793
Simplify 2 + ((sqrt(180) - (sqrt(180) + -4 + sqrt(180) + 1))**2 - sqrt(180)) + -6*sqrt(20)/(sqrt(4) - (sqrt(4) + (-2*sqrt(36))/sqrt(9))).
-45*sqrt(5) + 191
Simplify -4*(-3*(-6*(sqrt(3) + 3 + sqrt(3) + 0) - (sqrt(243)*2 + 0 + sqrt(243)))*-5)**2.
-4398300 - 1263600*sqrt(3)
Simplify (sqrt(1404)*2)/(6*sqrt(3)*-1 + sqrt(3) + sqrt(3)) + 3 + (sqrt(65)/(sqrt(15)/sqrt(3)) + (sqrt(13)*1 + 5)**2 - (sqrt(156)/sqrt(108) - sqrt(52)*1)**2).
44/9 + 8*sqrt(13)
Simplify 4 + 2 + (sqrt(1584) + 1*sqrt(1584) + -4)**2 - (-5 + ((sqrt(1584) + -3*sqrt(1584)*1 + sqrt(1584))*-6)**2).
-50661 - 192*sqrt(11)
Simplify (3*sqrt(4455) - (sqrt(55)*2 + sqrt(55))*-6)/((sqrt(40)/sqrt(2)*-5)/(sqrt(324) - 1*sqrt(324) - sqrt(324))).
81*sqrt(11)
Simplify -3 + -3*((1 + sqrt(272) + -4)*4 + -5)*2.
-96*sqrt(17) + 99
Simplify ((((sqrt(180) - 2*sqrt(180))*-4)/(sqrt(144)/(sqrt(12) + (1*sqrt(12) - sqrt(12)))))/((4*sqrt(45)*2)/(sqrt(9) + (sqrt(1089) - sqrt(1089)*-2))))**2.
867
Simplify ((sqrt(4032) + -4*sqrt(4032) + sqrt(4032) - sqrt(4032)) + (sqrt(28)*-6 + sqrt(28))*-4)/(6*(sqrt(324) + sqrt(324)*-4)*-4).
-2*sqrt(7)/81
Simplify ((sqrt(216)/(-1*sqrt(8)))**2*6 - (1*(sqrt(300) + -1) + 1)) + -4.
-10*sqrt(3) + 158
Simplify -3*((sqrt(70) - 1*sqrt(70))/sqrt(10))**2*3 - (sqrt(175) + 2 + ((-2*sqrt(175) - sqrt(175)) + sqrt(175))**2).
-702 - 5*sqrt(7)
Simplify 2 + (2*sqrt(931) + 0 - (sqrt(931) + 0 + -5) - (-2 + ((-1 + sqrt(931))*5 - sqrt(931))))**2 + -2.
-504*sqrt(19) + 8523
Simplify (((sqrt(18) + -6*-1*sqrt(18))/sqrt(6)*5 + -3)**2 + 5)*-6.
-22134 + 1260*sqrt(3)
Simplify (((sqrt(240)*1)/sqrt(5) - sqrt(48))/(1*sqrt(288)))/((sqrt(96)/(sqrt(6)/sqrt(2)))/((sqrt(48)*2 - sqrt(48))/sqrt(12))).
0
Simplify (-3 + 4 + -6*(sqrt(112) + (sqrt(112) + (sqrt(112) - (5 + 0 + sqrt(112))))**2)*6)*-1.
-1296*sqrt(7) + 4931
Simplify -4*((sqrt(448) - (sqrt(448) - (-2 + -1*sqrt(448)))**2 - (sqrt(448) - (2 + sqrt(448) + 1)**2)) + (1 + sqrt(448) + -5)**2 + (-1 + sqrt(448)*-1)**2).
256*sqrt(7) + 1704
Simplify -3*(-6*(sqrt(117)*2 + -1 + (sqrt(117) + -1)*4))**2*-6.
-116640*sqrt(13) + 2745576
Simplify (1*5*sqrt(114)*-2*6)/((sqrt(96)/sqrt(36) - sqrt(24)) + (sqrt(24) - -6*(sqrt(24) - sqrt(96)/sqrt(4)))).
-90*sqrt(19)
Simplify 2 + -3 + (sqrt(38) + (sqrt(5472) - sqrt(5472)*2) + (2*sqrt(342))/sqrt(9))/((sqrt(2)*1 + sqrt(2))*6 + sqrt(8)*-1) + 0.
-9*sqrt(19)/10 - 1
Simplify (((sqrt(294) + (sqrt(294) - (sqrt(294) + sqrt(294) + -6*-1*sqrt(294))))/(1*sqrt(252)))/(6*sqrt(480)/sqrt(5)*3))**2.
7/5184
Simplify ((sqrt(171)*-2*4)/(2*sqrt(729)))**2 - (2*sqrt(209)*-2)/(2*sqrt(891) - sqrt(11)).
4*sqrt(19)/17 + 304/81
Simplify 6*(0 + -1 + ((sqrt(104) - 2*sqrt(104)*-3)/(((sqrt(1152) - sqrt(1152)*-1) + sqrt(1152) + sqrt(1152) - sqrt(1152)) + sqrt(8)) + 1)**2).
3822/1369 + 84*sqrt(13)/37
Simplify -3*(4*(sqrt(675)*3*-2 + sqrt(675))/(4*(sqrt(90) - (sqrt(90)*-3 - sqrt(90)))/sqrt(10)))**2.
-225
Simplify (sqrt(19) + 0 + sqrt(931) + sqrt(228)/(sqrt(12) + (sqrt(12) - sqrt(36)/sqrt(3))))**2 + -1 + (sqrt(19) + -4*(-2 + sqrt(19)) - (sqrt(2736) + 4)**2).
-1206 - 99*sqrt(19)
Simplify (3*(sqrt(153) + sqrt(153)*-3) - sqrt(153) - sqrt(153) - -2*(sqrt(153) + sqrt(153)*-3 + sqrt(153)))/(5*sqrt(9)*5 - -4*sqrt(90)/sqrt(10)).
-10*sqrt(17)/29
Simplify (((-1*sqrt(72))/sqrt(6) - sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(24)/sqrt(98))))/((2*sqrt(1008))/(2*sqrt(567) + sqrt(567))))**2.
54675/784
Simplify (2*(sqrt(102) + sqrt(102)*2*-4 + sqrt(102))*-6)/((sqrt(6) + sqrt(150)*4)*-5*-1).
24*sqrt(17)/35
Simplify (-2*(sqrt(132) + (sqrt(132) - sqrt(132)*5) - sqrt(132))*-1)/(sqrt(12) - sqrt(768)*-1 - sqrt(120)/(-1*sqrt(10))).
-4*sqrt(11)/5
Simplify (3*(2 + -3 + sqrt(475)) - (2 + (0 + sqrt(19))*-1 + -5))*-4.
-64*sqrt(19)
Simplify (-4*((sqrt(80) - sqrt(80)*-5 - sqrt(80)) + sqrt(80))*-3)/((sqrt(44)*-1*-1)/((2*sqrt(704) + sqrt(704) - sqrt(704)) + sqrt(704) - sqrt(11))).
3312*sqrt(5)
Simplify 4 + (sqrt(33) - (1*sqrt(3993) - sqrt(3993)))/sqrt(3) - (1 + 3*sqrt(275)*-4).
3 + 61*sqrt(11)
Simplify ((sqrt(102) - -2*sqrt(102))/sqrt(6) + -1)**2 + 3 + 5*((sqrt(17) - (sqrt(34)/sqrt(2) - sqrt(17))) + 1 - sqrt(612)*-1).
29*sqrt(17) + 162
Simplify (-4*(0 + (5 + sqrt(19) + -1)*2 - (((sqrt(57) - -1*sqrt(57))*5)/sqrt(3) + -5)))**2.
-3328*sqrt(19) + 22160
Simplify -4*((sqrt(272)*2*-4 - ((sqrt(272) - -4*sqrt(272)*-2) + sqrt(272))) + sqrt(272) + -1 + -2 + 1 + sqrt(272) + 1)**2*-2 + 5.
13
Simplify -5 + (-2*(-1*sqrt(84)*4 - sqrt(84))/(-2*sqrt(1452) - sqrt(1452) - sqrt(1452))*6)**2.
970/121
Simplify sqrt(27)/(sqrt(54)/sqrt(6)) - 5*sqrt(27)/sqrt(9) - (-5 + (4*(sqrt(3) - (sqrt(3) - (sqrt(126)/sqrt(7))/sqrt(6))))**2).
-43 - 4*sqrt(3)
Simplify 2*5*((sqrt(153) - (sqrt(153) + 3))*3 + sqrt(153) + sqrt(153) - (sqrt(153) + 0 + sqrt(153) + 2))**2*6 + -4.
7256
Simplify ((sqrt(3744) - 5*sqrt(3744) - sqrt(3744)) + -4*sqrt(650))/((sqrt(16) + sqrt(64) + sqrt(64)*-4 + sqrt(16))/sqrt(8)*4).
5*sqrt(13)
Simplify (3 + (-6*sqrt(504)*3)/(sqrt(128)*-1 + (2*sqrt(288) - sqrt(288)) + sqrt(288)) + -2)**2.
-27*sqrt(7)/2 + 5119/16
Simplify (6*(sqrt(99) - sqrt(99)*3)*4*-1)/((sqrt(99) - (sqrt(99)*1*1 - sqrt(99)) - sqrt(99) - sqrt(99))/sqrt(704)).
-384*sqrt(11)
Simplify (sqrt(1728)*-2 + sqrt(1728) + (sqrt(432) + -2 - sqrt(432)))**2 - ((-3 + -1 + sqrt(432))**2 + 1).
192*sqrt(3) + 1283
Simplify 4 + -4*((5*(sqrt(121) + sqrt(121)*1))/(sqrt(22)/sqrt(2)*-3) + 1).
40*sqrt(11)/3
Simplify 2 + (((sqrt(120)*1*6)/sqrt(10))/(2*sqrt(150) - (sqrt(6) + 6*sqrt(18)/sqrt(3))))**2.
10
Simplify ((((sqrt(1539) + sqrt(1539) + 2 + -1)*1 + sqrt(1539)*1 + 0 + -4)*-5 + 1)*3)**2.
-38880*sqrt(19) + 3118779
Simplify (-1 + sqrt(108) + -4 + sqrt(108) + 4 + sqrt(108) + -4 - ((sqrt(108) + -1 + 5)*2 + 1))**2.
-168*sqrt(3) + 304
Simplify (-3*sqrt(228)*-3 + sqrt(228) - ((sqrt(228) - (-1*(3*sqrt(228) - sqrt(228)) - sqrt(228))) + sqrt(228)))/(-2*-1*(sqrt(180)/sqrt(3))/sqrt(5)).
5*sqrt(19)/2
Simplify (-2 + (sqrt(325) - (sqrt(325) + 1 + -5)) + -5 + sqrt(325) + (sqrt(325) + -1)*5 + (2 + sqrt(325) + 4 - sqrt(325)))**2.
-120*sqrt(13) + 11704
Simplify (2*sqrt(4900)*-6*-2*6)/(sqrt(14)/(1*2*sqrt(2)) + (sqrt(2100) - sqrt(2100)*-2 - sqrt(2100))/sqrt(3)).
2880*sqrt(7)/41
Simplify (sqrt(11) + -1*sqrt(11) + -3 + sqrt(77)/sqrt(112))*2 - (sqrt(88)*-1*-2)/(4*sqrt(8)*2).
-6 + sqrt(11)/4
Simplify (4*-1*sqrt(156))/(4*(sqrt(12)*-2 - sqrt(12))) - 2*(2*sqrt(117)*-6)/(sqrt(576)*1).
10*sqrt(13)/3
Simplify (-5 + sqrt(288)*2*-5 - ((sqrt(288) - (sqrt(288) + 0)) + -4 + 1))**2.
480*sqrt(2) + 28804
Simplify -4*(5 + (5 + (-3 + sqrt(704) + -1 - (sqrt(704) + sqrt(704)*-3 + -4 - sqrt(704) - sqrt(704))) + 5)**2).
-70820 - 3200*sqrt(11)
Simplify 2*(2 + (3*(-2*sqrt(605) + 5)*-5*-1*1)**2).
-99000*sqrt(5) + 1100254
Simplify 4 + (-1*6*(4*1*sqrt(343) + -4 + 1*sqrt(343))*6)**2*5.
-1814400*sqrt(7) + 55669684
Simplify -5 + ((sqrt(17) + (0 + sqrt(17))**2)*-4 - ((sqrt(204) - 1*sqrt(204)) + sqrt(204))/sqrt(12)) + -1 + 1*(6*-1*sqrt(119))/sqrt(7) + -1.
-75 - 11*sqrt(17)
Simplify (4*((4 + sqrt(180) + -4 - sqrt(180)) + sqrt(180) - sqrt(180)) - (-4 + 1*5*sqrt(5) + 3))**2.
-10*sqrt(5) + 126
Simplify -1*(-5 + sqrt(2448)*1*5 + sqrt(2448) + 2 + sqrt(2448)*2 + 0) + 2.
-96*sqrt(17) + 5
Simplify 1 + (sqrt(136)/(sqr | {
"pile_set_name": "DM Mathematics"
} |
7?
-w + 914013
What is the m'th term of 1554, 1508, 1484, 1482, 1502, 1544, 1608?
11*m**2 - 79*m + 1622
What is the j'th term of -324, -428, -554, -714, -920, -1184, -1518?
-2*j**3 + j**2 - 93*j - 230
What is the v'th term of 401, -39, -477, -913, -1347, -1779?
v**2 - 443*v + 843
What is the t'th term of 25494, 25487, 25480, 25473, 25466, 25459?
-7*t + 25501
What is the g'th term of -220, -1009, -2326, -4177, -6568, -9505?
-g**3 - 258*g**2 - 8*g + 47
What is the f'th term of 195608, 391207, 586804, 782399?
-f**2 + 195602*f + 7
What is the u'th term of -4801, -9599, -14395, -19189, -23981, -28771?
u**2 - 4801*u - 1
What is the b'th term of 11109, 11312, 11515?
203*b + 10906
What is the t'th term of 17394, 17386, 17378, 17370?
-8*t + 17402
What is the d'th term of -5484, -11317, -17150, -22983, -28816?
-5833*d + 349
What is the p'th term of 11179, 22385, 33589, 44791, 55991, 67189, 78385?
-p**2 + 11209*p - 29
What is the b'th term of -324661, -649325, -973989, -1298653?
-324664*b + 3
What is the j'th term of 5605, 5590, 5549, 5470, 5341, 5150, 4885?
-2*j**3 - j**2 + 2*j + 5606
What is the b'th term of 27165, 54332, 81499, 108666?
27167*b - 2
What is the a'th term of 16821, 16830, 16839, 16848?
9*a + 16812
What is the l'th term of -4255, -8494, -12731, -16966, -21199?
l**2 - 4242*l - 14
What is the u'th term of -2375, -2389, -2405, -2423, -2443, -2465?
-u**2 - 11*u - 2363
What is the t'th term of 8, 104, 212, 332, 464, 608, 764?
6*t**2 + 78*t - 76
What is the x'th term of 8223, 8184, 8119, 8028, 7911?
-13*x**2 + 8236
What is the i'th term of 16, 9, 32, 97, 216, 401, 664?
2*i**3 + 3*i**2 - 30*i + 41
What is the n'th term of -9210, -9218, -9226, -9234, -9242, -9250?
-8*n - 9202
What is the t'th term of -56, -143, -304, -551, -896, -1351, -1928, -2639?
-2*t**3 - 25*t**2 + 2*t - 31
What is the v'th term of -236, -759, -1572, -2675, -4068, -5751?
-145*v**2 - 88*v - 3
What is the w'th term of 122, -232, -814, -1618, -2638?
w**3 - 120*w**2 - w + 242
What is the h'th term of 562, 1118, 1658, 2176, 2666, 3122, 3538, 3908?
-h**3 - 2*h**2 + 569*h - 4
What is the d'th term of 0, -91, -382, -987, -2020?
-19*d**3 + 14*d**2 + 5
What is the n'th term of 165, 457, 761, 1077, 1405, 1745?
6*n**2 + 274*n - 115
What is the p'th term of -363, -1407, -3139, -5559, -8667, -12463?
-344*p**2 - 12*p - 7
What is the b'th term of -1035, -451, 513, 1851, 3557, 5625, 8049?
-b**3 + 196*b**2 + 3*b - 1233
What is the h'th term of 55, 89, 115, 127, 119, 85, 19?
-h**3 + 2*h**2 + 35*h + 19
What is the x'th term of 24409, 48820, 73231, 97642?
24411*x - 2
What is the n'th term of -154950, -154947, -154942, -154935, -154926, -154915?
n**2 - 154951
What is the z'th term of -3614187, -3614189, -3614191, -3614193?
-2*z - 3614185
What is the q'th term of -251, -423, -513, -521?
41*q**2 - 295*q + 3
What is the r'th term of -577, -1142, -1695, -2236, -2765, -3282, -3787?
6*r**2 - 583*r
What is the z'th term of -1363, -2946, -4533, -6124, -7719?
-2*z**2 - 1577*z + 216
What is the b'th term of -1414, -1433, -1468, -1519?
-8*b**2 + 5*b - 1411
What is the g'th term of 40, 15, -12, -41, -72, -105?
-g**2 - 22*g + 63
What is the q'th term of 370, 1436, 3212, 5698, 8894?
355*q**2 + q + 14
What is the p'th term of -121, -648, -1163, -1660, -2133, -2576, -2983, -3348?
p**3 - 534*p + 412
What is the w'th term of -4, -6, -32, -100, -228, -434, -736?
-3*w**3 + 6*w**2 + w - 8
What is the x'th term of 15013, 60112, 135281, 240514, 375805?
-x**3 + 15041*x**2 - 17*x - 10
What is the u'th term of 233, 784, 1705, 2996, 4657, 6688?
185*u**2 - 4*u + 52
What is the y'th term of -25528, -25520, -25500, -25462, -25400, -25308, -25180?
y**3 + y - 25530
What is the o'th term of -184, -110, 98, 506, 1180, 2186, 3590?
11*o**3 + o**2 - 6*o - 190
What is the a'th term of -1127, -4247, -9449, -16733, -26099, -37547?
-1041*a**2 + 3*a - 89
What is the c'th term of 2233, 8958, 20173, 35884, 56097?
c**3 + 2239*c**2 + c - 8
What is the i'th term of 1509, 5991, 13475, 23967, 37473?
i**3 + 1495*i**2 - 10*i + 23
What is the t'th term of -580, -657, -900, -1393, -2220, -3465?
-14*t**3 + t**2 + 18*t - 585
What is the z'th term of 39511, 39527, 39543?
16*z + 39495
What is the x'th term of -366, -397, -450, -531, -646, -801?
-x**3 - 5*x**2 - 9*x - 351
What is the z'th term of -61, 11, 95, 191, 299, 419, 551?
6*z**2 + 54*z - 121
What is the f'th term of -637, -1486, -2335?
-849*f + 212
What is the a'th term of -8221, -8210, -8197, -8182, -8165, -8146?
a**2 + 8*a - 8230
What is the k'th term of -5220, -10369, -15516, -20661, -25804, -30945, -36084?
k**2 - 5152*k - 69
What is the q'th term of -79, -200, -319, -436, -551, -664?
q**2 - 124*q + 44
What is the o'th term of -27749, -55499, -83249, -110999?
-27750*o + 1
What is the d'th term of 1005, 4031, 9087, 16185, 25337, 36555, 49851?
2*d**3 + 1003*d**2 + 3*d - 3
What is the v'th term of 115151, 230344, 345535, 460724, 575911?
-v**2 + 115196*v - 44
What is the t'th term of 107, 454, 1037, 1856, 2911, 4202?
118*t**2 - 7*t - 4
What is the f'th term of -2375, -2410, -2431, -2432, -2407, -2350, -2255?
f**3 + f**2 - 45*f - 2332
What is the a'th term of -16307, -65215, -146721, -260819, -407503?
a**3 - 16305*a**2 - 3
What is the s'th term of -3861, -4039, -4225, -4419, -4621, -4831, -5049?
-4*s**2 - 166*s - 3691
What is the a'th term of -1088, -1336, -1584?
-248*a - 840
What is the q'th term of -33799, -135183, -304157, -540721, -844875?
-33795*q**2 + q - 5
What is the i'th term of -165, -13, 93, 129, 71, -105, -423?
-4*i**3 + i**2 + 177*i - 339
What is the u'th term of -367, -772, -1173, -1570, -1963, -2352, -2737?
2*u**2 - 411*u + 42
What is the s'th term of -3094, -6202, -9310, -12418, -15526?
-3108*s + 14
What is the a'th term of -38502, -38505, -38508?
-3*a - 38499
What is the p'th term of -4063, -4074, -4085?
-11*p - 4052
What is the u'th term of -1381, -1421, -1459, -1495?
u**2 - 43*u - 1339
What is the q'th term of 16392, 16395, 16396, 16395, 16392, 16387, 16380?
-q**2 + 6*q + 16387
What is the l'th term of -266, -466, -620, -728, -790, -806, -776?
23*l**2 - 269*l - 20
What is the y'th term of -90, -261, -546, -945, -1458?
-57*y**2 - 33
What is the b'th term of 5329, 5229, 5129, 5029, 4929, 4829?
-100*b + 5429
What is the f'th term of 248, 396, 544, 692, 840?
148*f + 100
What is the i'th term of 3424, 6825, 10224, 13621, 17016?
-i**2 + 3404*i + 21
What is the w'th term of 1114, 2342, 3570, 4798, 6026, 7254?
1228*w - 114
What is the l'th term of -138, -411, -816, -1359, -2046, -2883, -3876, -5031?
-l**3 - 60*l**2 - 86*l + 9
What is the g'th term of 1662, 1636, 1584, 1494, 1354, 1152, 876, 514?
-2*g**3 - g**2 - 9*g + 1674
What is the z'th term of -1172, -1171, -1170, -1169, -1168, -1167?
z - 1173
What is the d'th term of -5092967, -5092968, -5092969, -5092970?
-d - 5092966
What is the d'th term of 356, -477, -1312, -2149, -2988, -3829, -4672?
-d**2 - 830*d + 1187
What is the f'th term of 23136, 23137, 23138, 23139, 23140?
f + 23135
What is the z'th term of -54269, -108533, -162797, -217061?
-54264*z - 5
What is the g'th term of -22006, -44023, -66066, -88147, -110278, -132471?
-2*g**3 - g**2 - 22000*g - 3
What is the t'th term of 1627561, 1627556, 1627549, 1627540, 1627529, 1627516?
-t**2 - 2*t + 1627564
What is the l'th term of -17520, -35058, -52612, -70188, -87792, -105430, -123108?
-l**3 - 2*l**2 - 17525*l + 8
What is the i'th term of 494, 516, 640, 914, 1386, 2104?
8*i**3 + 3*i**2 - 43*i + 526
What is the x'th term of 2973, 5943, 8913, 11883, 14853?
2970*x + 3
What is the i'th term of -1396, -11420, -38636, -91642, -179036, -309416?
-1433*i**3 + 2*i**2 + i + 34
What is the f'th term of -665, -1331, -1997, -2663?
-666*f + 1
What is the z'th term of -2011, -3995, -5979, -7963?
-1984*z - 27
What is the b'th term of 126, 1092, 2706, 4980, 7926, 11556?
2*b**3 + 312*b**2 + 16*b - 204
What is the a'th term of 112, 245, 388, 541, 704, 877, 1060?
5*a**2 + 118*a - 11
What is the r'th term of 1797735, 1797736, 1797737, 1797738?
r + 1797734
What is the n'th term of -5667, -5697, -5729, -5763, -5799?
-n**2 - 27*n - 5639
What is the v'th term of 31, 11, -17, -59, -121, -209, -329?
-v**3 + 2*v**2 - 19*v + 49
What is the f'th term of 5124, 20545, 46262, 82275, 128584?
5148*f**2 - 23*f - 1
What | {
"pile_set_name": "DM Mathematics"
} |
-1
Express 51 - 25 + 24*f - 23 as r*f + w and give r.
24
Rearrange (2 - 5 + 4)*(5*a - 90*a - 16*a) to the form d*a + l and give d.
-101
Express (4*u - 2 + 2)*((-2 + 2 - 1)*(5 - u - 5) + 0*u + 0*u + 2*u) in the form t*u**2 + s + d*u and give t.
12
Express (-3*q + 2*q - 2*q)*(47 + 12*q**2 - 10*q**2 - 2*q + 3*q) as w*q**3 + a + l*q + v*q**2 and give v.
-3
Express 5*y**2 - 3*y**2 - 4*y**2 + y - y - y**2 + (-7 + 7 - 1)*(-2 + 2 + 2*y**2) as w + v*y + o*y**2 and give o.
-5
Rearrange -3*u + u + 2*u**4 + 10*u**2 + 2*u**4 - 9*u**2 + 1 to h + r*u**4 + d*u**3 + p*u + q*u**2 and give h.
1
Express 3 + 9*b - 9*b - 5*b**3 - 2 in the form r + v*b + o*b**3 + i*b**2 and give o.
-5
Rearrange (19*r + 336 - 336)*(-3 - 2 + 1) to the form w + n*r and give n.
-76
Rearrange a**3 - a**4 - 2 + 2 - a + 3*a - 2 to the form d*a**3 + j*a + r*a**2 + w + s*a**4 and give w.
-2
Express 4*x**2 - 15*x**2 - 12*x**2 + 5*x**2 in the form p*x**2 + r + d*x and give p.
-18
Express -r**3 - 8*r**2 - 3*r + 2*r**2 + r + r**4 in the form v + b*r**4 + f*r**3 + j*r**2 + c*r and give c.
-2
Rearrange -2 - 4*d - 7*d**2 + 3*d + d**2 + 4*d**2 to the form f*d + a + r*d**2 and give r.
-2
Rearrange 5*f - f**2 - 3*f - 4*f - 7*f to the form p*f**2 + t + a*f and give a.
-9
Express (5 + 0 - 4)*(4*b**3 - 5*b**3 + 2*b**3)*(-5 - 4 + 7 - 2*b) in the form x*b**3 + r + l*b**4 + n*b + o*b**2 and give x.
-2
Express (-p**4 - 2*p**4 - p + 5*p**4)*(39 - 19 - 18) as i + q*p**4 + k*p + o*p**3 + h*p**2 and give o.
0
Express 3*g + 3*g**4 + g - 2 + g as b*g + u*g**3 + q*g**2 + h*g**4 + l and give h.
3
Express -2*h + 0*h**2 - 4*h**3 + 54 + 0*h**2 - 55 in the form d*h + g + a*h**2 + o*h**3 and give o.
-4
Rearrange (-1 + 1 - 3*c)*(2*c**2 + 3*c - 3*c) - 4*c**3 + c**3 + 0*c**3 - 2*c + 2*c + 3*c**3 to k*c**2 + f*c**3 + w + p*c and give f.
-6
Express (0 + 2 - 1)*(-10 - 9*m + 10) + 2*m - 3*m + 2*m as l + z*m and give z.
-8
Rearrange (-9 + 13*j + 9)*(-3 + 4 - 4)*(5 + 4 + 3) to q + v*j and give v.
-468
Express -4*b + 12*b + 7*b - b as t + d*b and give d.
14
Express (-71 - 7*k**2 + 71 + (k - k + k)*(0*k - 2*k + 3*k))*(-k**2 + 2*k**2 + 0*k**2) as i + v*k**2 + n*k + r*k**3 + j*k**4 and give i.
0
Express 4*v**3 - 10*v + 4*v + 3 + 2*v + 5*v in the form u*v**2 + f*v + t*v**3 + q and give f.
1
Express -8 + 3 - 3*m**2 + m**3 + 3*m**2 + 3*m as h*m**3 + z*m**2 + b + v*m and give v.
3
Rearrange -3*p**3 - p + 5*p**3 - p**3 + 2*p**3 to the form y + o*p**2 + f*p**3 + g*p and give f.
3
Rearrange (3 - 3 + 3*j)*(1 - 1 - 1 + (1 - 2 + 0)*(3 - 4 + 4)) to r + i*j and give i.
-12
Express (-33*d + 2*d - 12*d)*(-6*d + 0*d + 5*d) in the form w*d + g + f*d**2 and give f.
43
Express -13*h**4 + 12*h**4 - 3*h + h - h**2 + h**3 + 0*h + 1 in the form q + o*h**2 + t*h**4 + i*h + p*h**3 and give i.
-2
Rearrange 2*b + 21 - 4*b - 2*b**3 - 19 + 0*b**3 to the form f*b + l*b**3 + p + o*b**2 and give p.
2
Express -14 + c**2 + 6 + 13*c**3 + 5*c**3 + 10 in the form a*c + x + v*c**3 + r*c**2 and give x.
2
Rearrange -89 + 2*b - 7*b + 92 + 0*b to k*b + x and give x.
3
Rearrange -32*a + 123 - 123 to c + p*a and give p.
-32
Express 121*f**3 + 1239*f**2 - 1239*f**2 + (3*f**2 - 4*f**2 + 2*f**2)*(-6*f + 2*f + 5*f) as v*f**3 + b*f + z*f**2 + l and give v.
122
Rearrange (11*a + 3*a - 61*a - a**2)*(4*a + 7*a - 4*a) to the form n*a + f*a**2 + s*a**3 + d and give f.
-329
Express -6 + 14*d**2 + 2*d**4 - 35*d**2 + 24*d**2 + d**3 in the form g*d**3 + l*d**4 + p + r*d**2 + m*d and give l.
2
Express (1 - 3 + 4)*(0 - p + 0) + 7*p + 4*p - 4*p + (-1 + 1 + 2*p)*(1 + 0 - 2) + 4*p + 0*p - 3*p in the form j + n*p and give n.
4
Express (33 - 60 - 48)*(-4*s**3 + 1 + 2*s**3 + 1) as c*s**2 + f*s**3 + u + h*s and give u.
-150
Express 281*p + p**2 - 271*p - p**3 + 2*p**2 in the form i*p**2 + m*p**3 + y*p + h and give h.
0
Rearrange 1404 - 1404 + 195*h to d + a*h and give a.
195
Express (3*u**3 + 2*u**3 - 4*u**3)*(7*u - u + 16*u) in the form y*u**2 + l + g*u + j*u**3 + x*u**4 and give x.
22
Rearrange j**4 + 21*j**4 + 28*j**4 + (0*j**2 + 0*j**2 - j**2)*(-3*j**2 + 2*j**2 - j**2) to n*j**4 + v*j**3 + k*j + d + g*j**2 and give n.
52
Rearrange -11*c**3 - 12*c**3 + 0 + 5 - 7 to i*c + f*c**2 + g*c**3 + m and give i.
0
Rearrange -3*u - 2*u + 3*u + (4 - 2 + 0)*(4*u - 2*u - u) + u - 2*u + 0*u + 14*u - 5*u + 5*u + (-1 - u + 1)*(3 + 0 - 5) to g*u + i and give g.
15
Rearrange -31*i**2 + 7*i - 16*i + 11*i to the form w + t*i**2 + n*i and give t.
-31
Express -4 - 14*q - 24*q + 4 as m*q + c and give m.
-38
Rearrange 9*n - n**2 - 9*n + 13 to o*n**2 + r + c*n and give c.
0
Express 4*c + 0*c + 5*c in the form u*c + w and give u.
9
Rearrange 75*f**4 - 84*f + 84*f - 5*f**4 + 0*f**4 + 3*f**4 + (-1 + 1 - f)*(-2 + 2 + f**3) to h*f + p*f**4 + l + d*f**3 + x*f**2 and give p.
72
Rearrange (-5 + 5 + 15)*(-4*a + 4*a - a**4) + (-a**4 + 0*a**4 - a**4)*(3 + 3 - 4) to the form m*a**3 + w*a**4 + n*a**2 + p*a + z and give w.
-19
Rearrange -50 + 24 + 26 + 21*o to l + k*o and give k.
21
Rearrange (70 + 13 - 8)*(-1 - z + 1 + 0*z + 0*z + 2*z + (4 - 2*z - 4)*(-4 + 5 + 0) - z - z + z) to j + f*z and give f.
-150
Express -38 + 38 - 31*r as t*r + q and give q.
0
Express (-1 + 3 - 4)*(o**2 - 4*o + 4*o) + 5*o**2 + 103*o - 103*o in the form h*o + w*o**2 + m and give w.
3
Rearrange (-7*s**2 + 2*s**2 + s**2)*(1 + 0 - 2) + (-3*s**2 + 0*s + 0*s)*(0 + 3 - 1) to the form i*s + q + m*s**2 and give m.
-2
Rearrange 69*f**3 - 37*f - 3 - 11*f - 67*f**3 + (-3*f**2 - 3*f**2 + 4*f**2)*(3 - 3 - f) to v*f**3 + c + x*f**2 + j*f and give j.
-48
Express -5*w**3 + 1 + 6*w**2 - 1 - 7*w**2 + w**4 - w as t*w**3 + s*w**2 + r + d*w**4 + n*w and give d.
1
Rearrange -9*u + 12*u - 11*u + (4*u - 5 + 5)*(5 - 1 - 3) to g + m*u and give m.
-4
Rearrange -14*n**4 - n + 13*n**4 + 7 - 2 to a + f*n + s*n**3 + o*n**4 + q*n**2 and give a.
5
Rearrange (-f + 3*f - f)*(-f + 0*f + 3*f) to i*f + d*f**2 + t and give d.
2
Rearrange -4 + 4 - 23*r**2 to the form f*r**2 + l + o*r and give l.
0
Express -4 - 4*y**3 + 0*y**2 + 3*y**3 + 3*y**4 - y**2 - 5*y**4 as l*y**2 + j*y + v*y**3 + i*y**4 + z and give v.
-1
Express (d - 3*d - 18*d)*((-2*d - 1 + 1)*(0 - 1 - 1) + 0*d + d - 2*d) - d**2 - 2*d**2 + d**2 in the form c*d + u + g*d**2 and give g.
-62
Express -3 + 0*i**3 - 2*i + i**4 + 2*i**2 - i - 2*i**3 in the form s*i**2 + f*i**4 + m + l*i + g*i**3 and give s.
2
Express (1 - 5 + 1)*(-6*r - 5*r + 3*r) + (1 - 1 + 2*r)*(-3 + 2 + 2) + 3*r - 2*r + r in the form j*r + u and give j.
28
Express (-3 + 2*d + 3)*(-24*d - d**2 + 24*d) + (5 - 4 + 1)*(3*d**3 - 4*d**3 + 3*d**3) in the form u + a*d + l*d**3 + x*d**2 and give l.
2
Express (2 - 1 + 0)*(-7*l**2 + 17*l**2 - 7*l**3 - 8*l**2) as o + y*l + g*l**2 + j*l**3 and give j.
-7
Rearrange (-4 + 1 + 1)*(-76*y - 77*y + 123*y) to the form p*y + g and give p.
60
Rearrange -4*z**4 - 6*z**4 + 3 + 3*z**2 - 5*z**4 - 2*z**2 + 2*z**3 to the form c*z**4 + y*z + l*z**2 + t*z**3 + k and give c.
-15
Express (0 - 2 + 1)*(3 - 4 + 2)*(2*k - k + 2*k) as h + q*k and give h.
0
Express 33*x + 941 - 941 as y*x + z and give y.
33
Rearrange c**2 + 4*c**3 + c**2 - c**2 - 2*c**4 - 2*c**3 to y + n*c**2 + i*c + o*c**4 + x*c**3 and give x.
2
Express -3*q**2 - 80*q**4 + q - q**3 + 2*q + 78*q**4 + 0*q in the form r + b*q + h*q**3 + g*q**4 + o*q**2 and give g.
-2
Express (-2*p + 0*p + 0*p)*(-10 - 35 - 10) + (-p - 4*p + 3*p)*(1 - 2 + 0) in the form t + r*p and give r.
112
Express 4*i - 15*i - 13*i in the form c + h*i and give h.
-24
Express (-2*y + 1 - 1)*(-7*y**3 + 7*y**3 - 9*y**3) in the form t*y**4 + l + s*y + d*y**2 + v*y**3 and give s.
0
Rearrange (1 - 8 + 6)*(2*j - 6*j + 3*j)*(-j + 1 - 1) to the form s*j + k + l*j**2 and give l.
-1
Rearrange 4*u - u - u**2 + u - 2*u to q + f*u + z*u**2 and give f.
2
Rearrange (-7*y + 6*y - 12*y)*(3 - y - 3)*(4 - 4 + 2*y) to the form s*y**2 + v + n*y + u*y**3 and give u.
26
Express 0*l**2 + 2*l**2 + l + 2 + 2*l**4 + 0 in the form u*l**2 + o + g*l**3 + j*l**4 + x*l and give j.
2
Express 5*n**2 - 3*n**2 + 0*n**2 - n**2 in the form y + o*n + c*n**2 and give c.
1
Rearrange -3*s + 2*s + 8*s**3 - 7*s**3 to q + k*s + l*s**3 + p*s**2 and give l.
1
Express -2*z**3 + 4*z + 0*z**3 - 5*z + 0*z**2 + 0*z**2 - 3*z**3 + (-3 + 3 + 6*z)*(-2 - 2*z**2 + 2) in the form k*z**2 + q + b*z + g*z**3 and give b.
-1
Rearrange 2*m**3 + 9*m**3 - m**3 + (8 - 2*m - 5 - 2)*(2*m**2 - m + | {
"pile_set_name": "DM Mathematics"
} |
Let b(z) = 17 + 0*z**2 - i*z**2 - 11 + z - 3*z**3 + 2*z**3. Determine b(-5).
1
Let d(m) = m**2 - 9*m + 6. Let q be (-3 - (-8 - -2)) + 6. Calculate d(q).
6
Let f(g) = -7*g - 13. Let l(b) be the first derivative of 2*b**2 + 7*b - 4. Let t(v) = -3*f(v) - 5*l(v). Give t(-4).
0
Let l(d) = d**2 + 10*d + 8. Let q(y) = -3*y + 11. Let j be q(6). Determine l(j).
-13
Suppose -5*x = -2*p - 2*p - 30, 4*p = -2*x - 16. Let j(f) = 1 - x*f + f**2 - 2 + f. Give j(-3).
11
Let z = -3 + 3. Let l(f) = -4*f - 3 + 4*f + f**2 + z*f**2 - f. What is l(0)?
-3
Let o(q) = -q**3 + 4*q**2 + 5*q + 1. Let w be o(5). Suppose a = -w + 3. Let z(f) = 2*f**3 - 4*f**2 + 2*f + 1. What is z(a)?
5
Let i(n) = -5*n - 5. Let j(m) = -1. Let z(c) = -i(c) + 6*j(c). Give z(-2).
-11
Let m = 2/99 + 25/396. Let h(f) be the second derivative of 1/6*f**3 - 2*f**2 + 0 + m*f**4 - 2*f. Calculate h(0).
-4
Let w(l) = l**2 - 7*l + 6. Let z(u) = 4*u - 9. Let m = -5 + 12. Let d be z(m). Suppose 2*c = -3*i + 3*c + d, -2*i = 3*c + 2. Calculate w(i).
-4
Let k(g) = 4 + g**3 - g**3 + g**3 - 3*g**2. Let i be (-15)/4 - 2/8. Let j be 18/i*(-2)/3. Calculate k(j).
4
Let s(n) be the first derivative of 2*n - 4 - 1/2*n**2. Suppose -2*r - 5*j + 10 = r, 3*r - 5*j - 20 = 0. Determine s(r).
-3
Let l(m) be the second derivative of m**3/6 + 3*m**2 - 28*m. Give l(-8).
-2
Let t(a) = 2*a - 9. Suppose 5*j - 43 = -8. What is t(j)?
5
Let q(c) = -5*c - 16 + 3 - c**2 + 8 + 9. Calculate q(-5).
4
Let k(q) = q**2 + 3*q + 7. Let i(c) = c + 1. Let v(l) = 6*i(l) - k(l). Let t be (-24)/9*6/4. Let b be t/(-16) - 14/(-8). Calculate v(b).
1
Let p = -19 + 21. Let i(y) = y**2 + y**p - y**2 + y**2. What is i(1)?
2
Let x(n) be the third derivative of 0*n + 3*n**2 - 1/24*n**4 + 0*n**3 + 0. Suppose -5*b = v - 25, -3*b - 2*b - 5*v + 45 = 0. Give x(b).
-4
Let b(i) = -i**3 + 4*i**2 + 2*i - 7. Suppose -26 = s - 3*s + 4*q, 0 = -2*s + q + 14. What is b(s)?
-22
Let z(r) = 3*r**3 + r**2 - 1. Let l(p) = -2*p**3 - p**2 + 1. Let j(o) = 3*l(o) + 4*z(o). Suppose -6*s = -2*s - 4. What is j(s)?
6
Let i(d) be the third derivative of -1/6*d**3 + 1/60*d**5 + 0*d + 4*d**2 + 0 - 1/24*d**4. Suppose -3*y - 6 = -3. What is i(y)?
1
Let n be 64/(-24) - 3/9. Let l(k) = -k**2 - k + 2. What is l(n)?
-4
Let a = 4 + 1. Let h(k) be the first derivative of -k**4/4 + 4*k**3/3 + 5*k**2/2 - 3*k - 3. Calculate h(a).
-3
Let x(f) be the third derivative of 5*f**2 + 0*f - 1/6*f**3 - 1/120*f**6 - 1/24*f**4 - 1/15*f**5 + 0. Determine x(-2).
-7
Let l(a) = -a**3 - a**2 + 2. Let y be l(-2). Let c be 24/(-14) - y/21. Let b(f) be the third derivative of -f**5/20 - f**4/8 - f**3/6 - f**2. Give b(c).
-7
Let j(k) = -9*k - 7. Let w(s) = -17*s - 13. Let p(y) = 7*j(y) - 4*w(y). Let h be (-3)/(-5)*(-45)/(-3). Suppose -5*o - h = x, -2*o - 9 = -5*x - 0. What is p(o)?
-7
Let s be 3/(6/4 + 0). Let x(f) = 7*f - 1 - 2*f - s*f - 2*f. Suppose -6 = 2*o - 4*d, -2*d + 0*d - 17 = -5*o. What is x(o)?
4
Let f = -39 - -41. Let a(o) = -4*o**2 + 3*o - 2. Give a(f).
-12
Let p = 0 - 0. Let y(l) = -l + 8. Let o(u) = -u + 7. Let x(w) = -6*o(w) + 5*y(w). Determine x(p).
-2
Let r(j) be the first derivative of j - 1/3*j**3 + 1 + j**2. Calculate r(-2).
-7
Let m(u) = -u**2 - 5*u - 1. Let k = -62 + 56. What is m(k)?
-7
Suppose -4*a = 3*m + 23, 4*m + a + 7 = 3*m. Let f(u) be the first derivative of -4*u - 2 - 1/3*u**3 - 3*u**2. What is f(m)?
1
Let l(v) = 5*v**3 - 3*v**2 - 3*v - 12. Let b(f) = -6*f**3 + 4*f**2 + 4*f + 13. Let t(d) = -5*d - 1. Let a be t(1). Let m(h) = a*b(h) - 7*l(h). Give m(4).
10
Let f be (4/(-8) + 1)*2. Let k(u) = -u**2 + 4*u - 3*u**2 + 3*u**2 - f. What is k(2)?
3
Let x be (-23)/(-3) - (-6)/(-9). Suppose x*g = 2*g. Let h be (g - 0) + -1 + 2. Let i(c) = -7*c**3 + c**2 - 1. Determine i(h).
-7
Let l(w) = 4*w + 2. Let q(t) = t. Let k(c) = -l(c) + 3*q(c). What is k(3)?
-5
Let a(t) = -6*t**2 - t. Suppose -3*h - 18 = 5*r, -3*h + 2*r = -0*r - 3. Give a(h).
-5
Let j(l) = -l**3 + l**2 - 2*l + 1. Let p be (-10)/(-2)*(-8)/(-20). Suppose 0*z - z = -p. Calculate j(z).
-7
Let a(j) = j**2 - 8*j + 4. Let n be a(6). Let u(z) = z**3 + 8*z**2 - z - 10. Calculate u(n).
-2
Let s(h) = -2*h - 2. Let v be s(-2). Suppose -v = p - 3. Let a(l) = -9*l**2 + 2*l - 1. What is a(p)?
-8
Let x(c) = c**2 + 2*c - 2. Let g be (2 - -1)*(0 + -1). Let u be x(g). Suppose -u - 2 = 3*k. Let i(m) = -m**2 + m. Calculate i(k).
-2
Let z be (-2)/(-7) + 12/(-42). Let s(q) be the first derivative of 3 - 5*q**3 + z*q + q + 6*q**3 + 0*q. Give s(1).
4
Let c(v) = v**2 + 6*v - 6. Suppose s + 5*s = 120. Suppose 3*r = -s - 1. Determine c(r).
1
Let s = -5 - 0. Let h(x) = x**2 + 5*x - 7. Determine h(s).
-7
Let i(u) be the second derivative of 5*u**3/6 - 6*u. Determine i(-1).
-5
Suppose 4*n - 3*r - r - 16 = 0, -5*n = r - 20. Let k(t) = -4 + 2 + n*t + 3 + 3. Determine k(-3).
-8
Let p(q) be the third derivative of -q**6/360 - q**5/40 + q**4/8 - q**3/6 - 4*q**2. Let s(u) be the first derivative of p(u). What is s(-5)?
-7
Let f(l) = -l - 4. Let a be f(-6). Suppose 2 = 4*g - 3*r - 2, 4*g + 3*r - 4 = 0. Let q be a*4*g/2. Let n(p) = -p**2 + 5*p - 6. Give n(q).
-2
Let t be 1/(8/(-3) - -3). Let h(p) = -p**3 + 2*p**2 + 2*p + 4. What is h(t)?
1
Let y(t) = 4*t + 3. Let p = 2 - 2. Suppose n - 5*x + 2 = p, 4*x = 3*x. Calculate y(n).
-5
Let w(g) = 3*g - 5. Let r(z) be the second derivative of 0 - 3*z - 1/6*z**3 + 7*z**2. Let n be r(9). Give w(n).
10
Let j(x) be the second derivative of -3/2*x**2 + 1/2*x**3 - 5*x + 1/12*x**4 + 0. Suppose -g + 8 = -2*v - 6*g, 0 = v - 3*g + 4. Give j(v).
1
Let m(h) = h**2 - 7*h + 6. Suppose a + 5*u - 17 = 0, 6*u - 8 = 2*a + 2*u. Suppose 5*r + 2*d = -22 + 4, 0 = a*r - 2*d - 4. Let y = r - -7. What is m(y)?
-4
Suppose -4*x = -19 - 21. Suppose 0 = y + z - 2 + 4, -5*y + x = z. Let t(c) be the third derivative of -c**4/6 + c**3/3 + 3*c**2. Give t(y).
-10
Let g(s) = -4*s + 3. Let b be 1/(-2) + (-27)/6. Let n(i) = i**2 + 5*i + 3. Let t be n(b). Calculate g(t).
-9
Let s(y) = 4*y - 3. Let o be s(-1). Let d(v) = -v**2 - 7*v + 7. Calculate d(o).
7
Suppose 0 = -4*f - 72 + 12. Let p be (-3)/f + (-1)/5. Let n(g) = g**2 + p + 0*g**2 + 6*g + 4 + 0. Determine n(-4).
-4
Let g(r) = r + 4. Let f be (4/2)/(2 + -1). Suppose 2*d = -f*d + 20. Suppose -5*i = -d*u, -3*u + 5*i = -u. Give g(u).
4
Suppose 2*m + 3*m = 20. Let v(n) = -n - 19. Let x be v(-14). Let a(o) = -7*o - 7. Let b(c) = 22*c + 22. Let q(i) = x*b(i) - 16*a(i). Calculate q(m).
10
Let q = 15 - 11. Let s(i) = 2 + q*i - 3*i - 3*i. Let y be (1 - 2)/((-1)/(-2)). Determine s(y).
6
Let t(o) be the first derivative of -o**4/4 - 5*o**3/3 + o**2/2 + 7. Give t(-5).
-5
Let k(y) = y**2 + 5*y + 4. Suppose -5*d = -4*g - 2*d + 20, 2 = -3*g - 2*d. Let w be ((-24)/(-20))/(g/(-5)). What is k(w)?
-2
Let j(n) = -n**2 - n + 6. Let g be (-114)/(-8) - (-3)/(-12). Let x be g/(-56) + (-2)/(-8). Determine j(x).
6
Let i(o) = o**3 - 7*o**2 - 8*o - 1. Let p be i(8). Let l be ((-4)/(-3))/(p/(-3)). Let k = l + 1. Let w(x) = x - 1. What is w(k)?
4
Let f(l) = l**3 - 8*l**2 + 2*l + 5. Let a(c) = c**3 - 7*c**2 + 2*c + 4. Let z(d) = -4*a(d) + 3*f(d). Suppose -p = -6*p + 20. What is z(p)?
-9
Let n(q) = q**3 + 6*q**2 + q + 3. Suppose 2*y + 0 - 3 = -3*v, 4*v - 14 = -y. Calculate n(y).
-3
Suppose y = 6*y. Let g be ((-24 - -3) + 3)/(-2). Let l(a) = a - 3*a + 3*a + g. Calculate l(y).
9
Let l(p) = -2*p + 1. Let z = 31 + -43. Let a = z + 14. What is l(a)?
-3
Let g(y) be the third derivative of -y**6/120 - y**5/12 - y**4/6 - y**3/6 - 31*y**2. Let m = -7 - -3. What is g(m)?
-1
Let j = -14 + 15. Let y(b) = -4*b**3 - 2*b**2 + 1. Let a be y(-1). Let i(p) = p + a - 2 + 2*p. What is i(j)?
4
Suppose n + 3*n = 20. Let v(x) = 3 + 0 + 3 - 2*x. Give v(n).
-4
Let v(y) = -y - 1. Let d be (2 + 3/(-2))*6. Determine v(d).
-4
Suppose -35 - 25 = -5*h. Suppose -2*a + 12 = a. Suppose -a*f + f = -h. Let c(q) = q**2 - 5*q + 4. Calculate c(f).
0
Let h(d) be the second derivative of -d**5/20 + d**4/4 + 2*d**3/3 - d**2 - d. Suppose -5*l = c, 5*l - 52 = -5*c + 6*l. Let b be -10*(-2)/c*2. Give h(b).
-2
Let j(s) be the third derivative of s**6/120 - s**5/15 - 2*s**3/3 + s**2. Let o be (-16 - -17)/(1*1/4). Calculate j(o).
-4
Let i(z) be the first derivative of z**3/3 - 3*z**2 + 4*z + 6. Let c(d) = d**2 - 6*d + 3. Let w(o) = 5*o + 1. Let r be w(1). Let j be c(r). Determine i(j).
-5
| {
"pile_set_name": "DM Mathematics"
} |
at is 154855540 to the power of 1/3, to the nearest integer?
537
What is the sixth root of 684342767 to the nearest integer?
30
What is 157028103 to the power of 1/2, to the nearest integer?
12531
What is the eighth root of 514492749 to the nearest integer?
12
What is the tenth root of 189454026 to the nearest integer?
7
What is 31590942 to the power of 1/6, to the nearest integer?
18
What is 2313948730 to the power of 1/3, to the nearest integer?
1323
What is 3352207333 to the power of 1/3, to the nearest integer?
1497
What is 527853613 to the power of 1/3, to the nearest integer?
808
What is 323845065 to the power of 1/7, to the nearest integer?
16
What is the square root of 28469045 to the nearest integer?
5336
What is the square root of 16044657 to the nearest integer?
4006
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12
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5273
What is the square root of 1073498078 to the nearest integer?
32764
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23273
What is 3120516 to the power of 1/9, to the nearest integer?
5
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7027
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76
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17
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83
What is the cube root of 659015529 to the nearest integer?
870
What is the fourth root of 461970861 to the nearest integer?
147
What is 37270188 to the power of 1/2, to the nearest integer?
6105
What is the third root of 1527946835 to the nearest integer?
1152
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399
What is the eighth root of 95124555 to the nearest integer?
10
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6854
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357
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9
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9
What is the square root of 41714519 to the nearest integer?
6459
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28
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8
What is 36177044 to the power of 1/7, to the nearest integer?
12
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11771
What is 28549640 to the power of 1/9, to the nearest integer?
7
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17
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10
What is 887214241 to the power of 1/4, to the nearest integer?
173
What is the third root of 126405424 to the nearest integer?
502
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16705
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7
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11313
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45
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21
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481
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44768
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672
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10
What is 179127864 to the power of 1/3, to the nearest integer?
564
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32541
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5144
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2703
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10769
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304
What is the cube root of 84266874 to the nearest integer?
438
What is the cube root of 139272906 to the nearest integer?
518
What is the square root of 26389906 to the nearest integer?
5137
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371
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31184
What is the square root of 1138102579 to the nearest integer?
33736
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51
What is 247752750 to the power of 1/2, to the nearest integer?
15740
What is the square root of 593305214 to the nearest integer?
24358
What is the fifth root of 677723935 to the nearest integer?
58
What is 2818823284 to the power of 1/3, to the nearest integer?
1413
What is the cube root of 77071977 to the nearest integer?
426
What is 28822284 to the power of 1/2, to the nearest integer?
5369
What is 72679619 to the power of 1/2, to the nearest integer?
8525
What is 832339492 to the power of 1/10, to the nearest integer?
8
What is the tenth root of 42882321 to the nearest integer?
6
What is the eighth root of 45572162 to the nearest integer?
9
What is the fourth root of 339132301 to the nearest integer?
136
What is the cube root of 96816101 to the nearest integer?
459
What is the square root of 1606881879 to the nearest integer?
40086
What is 3147756946 to the power of 1/3, to the nearest integer?
1466
What is 5530460686 to the power of 1/9, to the nearest integer?
12
What is 1922733117 to the power of 1/3, to the nearest integer?
1243
What is the seventh root of 535205883 to the nearest integer?
18
What is the square root of 728537900 to the nearest integer?
26991
What is 4284274154 to the power of 1/3, to the nearest integer?
1624
What is 1284389684 to the power of 1/4, to the nearest integer?
189
What is the cube root of 1150947277 to the nearest integer?
1048
What is 4367595744 to the power of 1/2, to the nearest integer?
66088
What is the square root of 84453235 to the nearest integer?
9190
What is 51748893 to the power of 1/8, to the nearest integer?
9
What is the cube root of 26144017 to the nearest integer?
297
What is the fifth root of 585007034 to the nearest integer?
57
What is 189659865 to the power of 1/2, to the nearest integer?
13772
What is the cube root of 199575922 to the nearest integer?
584
What is 3225390378 to the power of 1/3, to the nearest integer?
1477
What is the square root of 2246234579 to the nearest integer?
47394
What is 878199878 to the power of 1/6, to the nearest integer?
31
What is 850640924 to the power of 1/3, to the nearest integer?
948
What is 62405617 to the power of 1/6, to the nearest integer?
20
What is the seventh root of 55691854 to the nearest integer?
13
What is 190047913 to the power of 1/7, to the nearest integer?
15
What is the third root of 976078849 to the nearest integer?
992
What is the fifth root of 295964019 to the nearest integer?
49
What is 21916906 to the power of 1/10, to the nearest integer?
5
What is the cube root of 1124296302 to the nearest integer?
1040
What is the fifth root of 170777927 to the nearest integer?
44
What is the cube root of 17963867 to the nearest integer?
262
What is 63642318 to the power of 1/2, to the nearest integer?
7978
What is the third root of 1724876993 to the nearest integer?
1199
What is the ninth root of 825513710 to the nearest integer?
10
What is 728349982 to the power of 1/2, to the nearest integer?
26988
What is 45303924 to the power of 1/3, to the nearest integer?
356
What is 695812346 to the power of 1/2, to the nearest integer?
26378
What is the eighth root of 424518791 to the nearest integer?
12
What is 39872431 to the power of 1/2, to the nearest integer?
6314
What is the seventh root of 24113013 to the nearest integer?
11
What is the square root of 84063618 to the nearest integer?
9169
What is the tenth root of 178244647 to the nearest integer?
7
What is the fifth root of 518920347 to the nearest integer?
55
What is the third root of 150276882 to the nearest integer?
532
What is the ninth root of 4204628509 to the nearest integer?
12
What is the cube root of 66519160 to the nearest integer?
405
What is the third root of 120253785 to the nearest integer?
494
What is the cube root of 74857333 to the nearest integer?
421
What is 98114471 to the power of 1/5, to the nearest integer?
40
What is the seventh root of 1040369049 to the nearest integer?
19
What is 561369018 to the power of 1/3, to the nearest integer?
825
What is the cube root of 1081246736 to the nearest integer?
1026
What is the cu | {
"pile_set_name": "DM Mathematics"
} |
quence wc when two letters picked without replacement from {x: 1, w: 2, c: 1, e: 1, p: 5}.
1/45
Two letters picked without replacement from qqqqqqq. What is prob of sequence qq?
1
What is prob of sequence mim when three letters picked without replacement from {i: 2, m: 5}?
4/21
What is prob of sequence yeg when three letters picked without replacement from {e: 1, y: 1, g: 1}?
1/6
Two letters picked without replacement from {q: 2, u: 4, x: 1, m: 1}. Give prob of sequence xu.
1/14
Three letters picked without replacement from xuplhuphlxmh. Give prob of sequence hul.
1/110
Calculate prob of sequence lu when two letters picked without replacement from {u: 1, s: 1, q: 2, l: 1}.
1/20
Calculate prob of sequence tt when two letters picked without replacement from {v: 2, d: 8, x: 2, t: 2}.
1/91
Calculate prob of sequence ehhe when four letters picked without replacement from ehhhhehh.
1/28
Calculate prob of sequence zi when two letters picked without replacement from {e: 1, i: 1, c: 2, z: 1, y: 2, l: 1}.
1/56
Calculate prob of sequence ssi when three letters picked without replacement from siksksikkwkik.
3/286
What is prob of sequence qute when four letters picked without replacement from udettuedtdteeeqtoteo?
1/1615
Three letters picked without replacement from {b: 5, v: 15}. Give prob of sequence bvv.
35/228
Calculate prob of sequence ldee when four letters picked without replacement from {r: 3, d: 3, e: 3, l: 1}.
1/280
Calculate prob of sequence xnwx when four letters picked without replacement from xxwxwxn.
1/35
What is prob of sequence zk when two letters picked without replacement from {l: 2, z: 2, x: 1, n: 1, k: 1}?
1/21
What is prob of sequence jk when two letters picked without replacement from knnkkjnknnn?
2/55
What is prob of sequence nkr when three letters picked without replacement from {r: 1, o: 2, n: 7, k: 10}?
7/684
Calculate prob of sequence uuuu when four letters picked without replacement from yumcmuammccucuc.
1/1365
Calculate prob of sequence ve when two letters picked without replacement from eevhehhevveeve.
2/13
Four letters picked without replacement from {l: 2, g: 1, r: 4, i: 6}. What is prob of sequence gggg?
0
Four letters picked without replacement from {e: 1, c: 3, t: 1}. Give prob of sequence cctc.
1/20
Calculate prob of sequence gg when two letters picked without replacement from {g: 10}.
1
What is prob of sequence kk when two letters picked without replacement from kmmmkm?
1/15
Three letters picked without replacement from {u: 4, q: 1, c: 3, r: 5}. What is prob of sequence quc?
1/143
Three letters picked without replacement from lkezqkklklkl. Give prob of sequence kll.
1/22
What is prob of sequence aal when three letters picked without replacement from aaalaazavaalaaalaaz?
26/323
Three letters picked without replacement from gqigqhffd. Give prob of sequence gfg.
1/126
Four letters picked without replacement from lellllkllll. What is prob of sequence elkl?
1/110
Two letters picked without replacement from {l: 5, r: 2, d: 2}. Give prob of sequence dd.
1/36
Four letters picked without replacement from zvzavazzazlpzzallv. What is prob of sequence azva?
7/2040
What is prob of sequence vq when two letters picked without replacement from vjjvvjvvvvjjbjqj?
7/240
Calculate prob of sequence pi when two letters picked without replacement from ffpipff.
1/21
Three letters picked without replacement from tttlcljt. What is prob of sequence llc?
1/168
Two letters picked without replacement from {u: 3, o: 2, j: 3, q: 1, d: 3, b: 2}. What is prob of sequence qd?
3/182
Calculate prob of sequence rhcc when four letters picked without replacement from {r: 1, h: 5, c: 4}.
1/84
Three letters picked without replacement from {p: 1, g: 1, y: 13}. What is prob of sequence gyp?
1/210
Four letters picked without replacement from axfasaaax. Give prob of sequence xsxa.
5/1512
What is prob of sequence umhh when four letters picked without replacement from {h: 5, m: 1, b: 3, u: 7}?
1/312
Calculate prob of sequence nf when two letters picked without replacement from {f: 1, n: 1, j: 1}.
1/6
Three letters picked without replacement from {k: 7}. Give prob of sequence kkk.
1
Calculate prob of sequence zs when two letters picked without replacement from {s: 3, d: 4, t: 2, z: 1, p: 7}.
3/272
Three letters picked without replacement from {x: 4, g: 2}. What is prob of sequence ggx?
1/15
What is prob of sequence ge when two letters picked without replacement from {g: 1, e: 3, i: 1, b: 1, t: 1}?
1/14
Four letters picked without replacement from kkehkeookoekeeooh. What is prob of sequence khko?
5/1428
Two letters picked without replacement from uuuuuaiujuuuiuuuajag. Give prob of sequence jj.
1/190
Four letters picked without replacement from {e: 3, b: 4, c: 3, t: 4, g: 6}. What is prob of sequence gbcb?
3/1615
Four letters picked without replacement from yynmqnr. What is prob of sequence yrny?
1/210
Three letters picked without replacement from {t: 2, s: 2, n: 7}. What is prob of sequence stn?
14/495
What is prob of sequence nnbp when four letters picked without replacement from nnnnrnrpbrnnrnbrrbg?
7/3876
Two letters picked without replacement from bbrsdrdspasbdrr. What is prob of sequence ps?
1/70
Four letters picked without replacement from hhhh. What is prob of sequence hhhh?
1
Three letters picked without replacement from pfatpjjr. Give prob of sequence afj.
1/168
Three letters picked without replacement from qfwqqqwwqqqqqqfqqq. Give prob of sequence qww.
13/816
Calculate prob of sequence iifi when four letters picked without replacement from {f: 3, i: 15}.
91/816
Two letters picked without replacement from {g: 2, b: 3}. What is prob of sequence bg?
3/10
What is prob of sequence gff when three letters picked without replacement from {g: 1, f: 11}?
1/12
Two letters picked without replacement from ppttttp. What is prob of sequence tt?
2/7
Three letters picked without replacement from {i: 4, z: 6}. What is prob of sequence ziz?
1/6
What is prob of sequence ll when two letters picked without replacement from {j: 5, l: 5, b: 4}?
10/91
Three letters picked without replacement from iurui. Give prob of sequence uii.
1/15
What is prob of sequence ml when two letters picked without replacement from mlllllmlmmzll?
8/39
Four letters picked without replacement from {c: 4, f: 3, e: 7}. Give prob of sequence ecfe.
3/143
Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu.
1
Calculate prob of sequence issi when four letters picked without replacement from {i: 7, s: 4}.
7/110
What is prob of sequence xqyy when four letters picked without replacement from {l: 2, x: 1, q: 1, y: 2, a: 2, b: 1}?
1/1512
Four letters picked without replacement from bbbwznbbnzbb. What is prob of sequence wzbn?
7/2970
What is prob of sequence vvm when three letters picked without replacement from vmvmmmmvvmvvv?
21/143
Four letters picked without replacement from {q: 4, o: 15}. Give prob of sequence oooq.
455/3876
Calculate prob of sequence cff when three letters picked without replacement from cffffcofooccocf.
5/91
Two letters picked without replacement from erzooczl. Give prob of sequence el.
1/56
Four letters picked without replacement from {h: 2, s: 2, a: 1, e: 8}. What is prob of sequence aess?
2/2145
Two letters picked without replacement from {d: 2, q: 2, u: 1, o: 1}. Give prob of sequence ud.
1/15
Two letters picked without replacement from looooooololololo. Give prob of sequence ol.
11/48
What is prob of sequence ll when two letters picked without replacement from {l: 11, d: 7, r: 1}?
55/171
What is prob of sequence fwpw when four letters picked without replacement from {r: 4, p: 4, w: 4, f: 2}?
4/1001
Two letters picked without replacement from ayjah. Give prob of sequence aj.
1/10
What is prob of sequence ff when two letters picked without replacement from {d: 4, f: 13, a: 3}?
39/95
Four letters picked without replacement from yzmymyywylyzzrymzwwm. Give prob of sequence yrym.
7/4845
What is prob of sequence nt when two letters picked without replacement from gtgn?
1/12
Two letters picked without replacement from {u: 2, z: 1, q: 1, n: 1, e: 2, m: 1}. What is prob of sequence ne?
1/28
Calculate prob of sequence odd when three letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
o = 14*o + 10. Suppose -5*h = -g - 278, -o*h + 4*g + 197 + 75 = 0. Is h a multiple of 7?
True
Let k(r) = -r**3 + r - 17. Let f be k(0). Suppose -a = -4*a + 5*j - 24, -68 = 5*a + j. Let o = a - f. Is o a multiple of 4?
True
Is 5621/8 + (-15)/200*-5 a multiple of 36?
False
Suppose 0 = 11*c - 12909 - 19651. Is c a multiple of 46?
False
Suppose -4*q + 15 - 1 = -5*g, 5*g + 10 = 0. Suppose -3*c = 3, -u + 5*c = q - 10. Suppose -o + 30 + u = 0. Is 11 a factor of o?
False
Suppose -n - n - 134 = -j, 0 = j - 5*n - 119. Is j a multiple of 6?
True
Let p(f) = -4*f**2 + 2*f - 6*f + 4*f**2 - 23*f**3 - 5*f**2. Is 11 a factor of p(-2)?
False
Let m be (-1 - 20/12)/(1/(-9)). Let u = 1 + m. Does 25 divide u?
True
Let a be 10/(-4)*(-18)/45. Let r be 19 + -15 - (a + 0). Suppose s = -m + 42, -m + 4*s + 46 = r*s. Is m a multiple of 7?
False
Let v(z) = z**2 - 27*z + 14. Is 3 a factor of v(29)?
True
Let v = 35 - 101. Let q = 174 + v. Is q a multiple of 25?
False
Suppose 0 = -41*u + 36*u + 2700. Is u a multiple of 54?
True
Suppose 3*a + 4*h - 795 = 0, 4*h = -2*a + h + 531. Is 29 a factor of a?
True
Let u(k) = -4 - 10 + 7 + 5*k - 7. Does 15 divide u(9)?
False
Let w = -303 - -346. Does 33 divide w?
False
Let s(y) = -17 + 0*y - 9 + 22*y**2 - 21*y**2 + 9*y. Does 16 divide s(-15)?
True
Let g = 42 - 11. Let j = g - 29. Suppose -3*f + 2*a = j*f - 539, f - 5*a = 94. Does 20 divide f?
False
Let b(t) = t + 175. Is b(-22) a multiple of 5?
False
Suppose 2*d = -0*l + 2*l + 152, 5*d + 2*l = 345. Suppose -3*g + 16 = 109. Let s = g + d. Is 10 a factor of s?
True
Let b = -17 + 10. Let w be 1 + b/(7/(-2)). Suppose v = -6*j + w*j + 40, 8 = j - 5*v. Does 13 divide j?
True
Let b = -17 - -10. Let g be (7 - (0 + 3)) + b. Does 20 divide g/(-15) - 398/(-10)?
True
Let g(c) = 73*c. Is g(3) a multiple of 23?
False
Let z(k) = 46*k + 906. Does 6 divide z(-14)?
False
Let a(t) be the first derivative of t**2/2 + 45*t - 1. Is 16 a factor of a(-13)?
True
Let f(v) = -2*v**3 - v**2 + 6*v + 6. Let b be (-1*2)/((-12)/30). Let n(t) = -t**3 + 6*t**2 - 6*t + 1. Let u be n(b). Is f(u) a multiple of 32?
False
Suppose -181*g + 2670 = -171*g. Does 45 divide g?
False
Let j(v) = 3*v**2 - 7*v - 4. Let a(n) = 6*n**2 - 14*n - 7. Let o(r) = 4*a(r) - 7*j(r). Is 6 a factor of o(6)?
True
Let h = -39 - -45. Suppose -h*n + 520 = 7*n. Does 4 divide n?
True
Suppose -48 = -4*k + 608. Does 5 divide k?
False
Let k be 39/15 + 2 + 8/(-5). Is 10 a factor of 273/6 - (-1 + k/6)?
False
Let a(d) = d**3 - 9*d**2 - 14*d + 2. Let k = 10 - 10. Suppose 21*v - 17*v - 44 = k. Does 15 divide a(v)?
True
Let b be -2*(-4046)/12 - 24/(-36). Suppose -b = p - 6*p. Is p a multiple of 15?
True
Let y = 100 + 80. Suppose 0 = -5*u - 4*f + y, -2*u - 4*f + 32 = -28. Is u a multiple of 9?
False
Let l = 12 + -7. Suppose -3 = 4*c + l. Is 22 a factor of c/(-8)*4 - -21?
True
Suppose 2*b + 1 + 5 = 0. Let x be 5/(b - -2)*-1. Suppose u = -x*a - 7, -2 = u + 4*a - 0. Is 6 a factor of u?
True
Suppose -t - d + 25 = 0, -5*d + 45 = 9*t - 8*t. Is 4 a factor of 1610/t - (-6)/4?
False
Let k(g) = -1. Let y(i) = -i**2 + 8*i - 21. Let x(c) = -3*k(c) - y(c). Is 11 a factor of x(10)?
True
Suppose 5*i = o + 11 + 5, -4*o - 13 = -3*i. Let r = 100 + -16. Suppose -i*n + r = n. Does 6 divide n?
False
Let m(u) = u**3 - u**2 - 2*u + 36. Let t(i) = -i**3 + 6*i**2 + 8*i - 10. Let d be t(7). Let z be (1 + 1 - -1) + d. Is 12 a factor of m(z)?
True
Suppose 17*a = 998 + 3762. Is 10 a factor of a?
True
Let h(m) = m**2 + 3*m + 4. Let g be h(-3). Suppose 4*j = 67 + 5. Suppose 70 = g*d - j. Is d a multiple of 17?
False
Suppose 0*i + 4*i + 8 = 4*t, 60 = 5*t + 5*i. Suppose -t*w + 35 = -6*w. Does 9 divide w?
False
Let l(m) = -3*m + m + m**2 - 2*m - 5 + 3*m. Let x be l(0). Let k = 14 + x. Is k a multiple of 6?
False
Suppose t - 20 + 0 = 0. Suppose l + l + t = 0. Does 8 divide l/25 + (-172)/(-5)?
False
Let c be (-46)/(-4) - 6/(-12). Suppose -3*j - 5*l = -365, l - 4*l + c = 0. Is 22 a factor of j?
False
Suppose 0 = -4*p + 3*o - 40 + 265, 69 = p - 5*o. Suppose 0 = -v - 0*v + p. Is 18 a factor of v?
True
Suppose -v + 0*n = 4*n - 366, -4*n = -3*v + 1162. Is 16 a factor of v?
False
Does 17 divide (-9)/(360/(-656))*10?
False
Suppose w - 227 - 231 = 0. Let l = w + -266. Is 48 a factor of l?
True
Suppose -2*j - 5 = -385. Let f = j - 131. Is 17 a factor of f?
False
Does 35 divide 6/14 + 5856/56?
True
Let n(y) = 2*y**3 + 12*y**2 - 5. Let w(m) = -m**3 - 11*m**2 - m + 5. Let g(u) = -2*n(u) - 3*w(u). Let o be g(9). Suppose 4*i = o + 34. Is 14 a factor of i?
True
Let w(n) = 4*n**2 + 21 - 11 - 2*n**2. Is w(9) a multiple of 9?
False
Suppose -4*t + 9*t + 10 = 0. Is 10 a factor of ((-632)/16 - (-3)/2)*t?
False
Suppose 0*g - 8 = 4*s - g, 4*s - 3*g + 16 = 0. Let v be (-2)/(-4) - s/(-2). Suppose -5*u + 45 = -5*n, v = 5*u - 2*n + 4*n - 17. Is 3 a factor of u?
False
Suppose 4*t - 12 = 0, -2*t - 1 = 3*h - 25. Let z be (4/h)/(11/33). Suppose z*i - i = -u + 21, 0 = u + 5*i - 41. Is 4 a factor of u?
True
Let o be (-13)/(65/30)*8/(-6). Suppose 0 = -3*i + 3*n - o*n + 105, 0 = -3*i + 4*n + 132. Is i a multiple of 19?
False
Let v(n) = n**2 + 36*n + 133. Is 49 a factor of v(-40)?
False
Let g(q) = -q + 6. Let x be g(4). Let n be 1/x*2 - -4. Suppose 22 = n*k - 3*k. Is k a multiple of 2?
False
Let y(x) = -x + 1. Let o be y(-6). Let l = o - 9. Is 5 a factor of (4 + l)/(4/10)?
True
Suppose 5*w - 31 = -1. Suppose -3*x = -5*g - w*x + 40, 3*g = -4*x + 35. Suppose 0 = -g*f - 4 - 11, -10 = -b - f. Does 11 divide b?
False
Let c = 461 + -348. Is 6 a factor of c?
False
Suppose 7 = -8*v - 1. Does 11 divide 4/v - (-112 + -2)?
True
Let f(c) = 31*c**2 + 10*c**2 - 2*c**2 - 9*c - 9*c**2. Is 33 a factor of f(-3)?
True
Let o be 17/102 - (-46)/12. Let d = 39 - o. Is d a multiple of 7?
True
Let k(c) = c**2 - 3*c + 15. Let g be k(-6). Suppose -5*y + 2*y = -g. Is y a multiple of 8?
False
Let q(k) be the third derivative of 1/60*k**6 + 0*k + 1/24*k**4 - 1/60*k**5 + 1/6*k**3 + 7*k**2 + 0. Is q(2) a multiple of 9?
False
Let m(k) = 5*k**3 + 5*k**2 - 5*k + 5. Let o(t) = -9*t**3 - 10*t**2 + 10*t - 10. Let b(p) = -7*m(p) - 4*o(p). Does 24 divide b(3)?
False
Suppose 2*i = 2*p + 12, 4*p = 2*i + p - 15. Let r = -240 + 240. Suppose r = i*h - 5*h + 90. Is h a multiple of 15?
True
Let z(s) = s**3 + 8*s**2 + 0*s**3 - 4*s**2 + 6*s - 2*s**3 - 7. Let t be z(5). Does 7 divide (-36)/t - (-7 + 4)?
True
Suppose a + 3*r + 101 - 545 = 0, 0 = a + 2*r - 449. Let u = a - 326. Is 9 a factor of u?
False
Is 17 a factor of (-57177)/(-57) + (-22)/209?
True
Is (-2)/5 + (-8972)/(-5) + -6 a multiple of 16?
False
Let p = -64 - -69. Let u = p - -35. Is 14 a factor of u?
False
Let q(z) = -3*z**3 - 14*z**2 - 30*z - 15. Is q(-10) a multiple of 48?
False
Let s(b) = 5*b**3 - 2*b**2 - 2*b - 2. Let m be s(3). Let j = m - 50. Is j a multiple of 20?
False
Let g be 118/(-12)*-2*-3. Let b = 84 + g. Does 11 divide b?
False
Suppose a = 4 - 2. Suppose -a*n - 8 = -4*n. Let r = n + 8. Is 6 a factor of r?
True
Let a = 308 + 151. Does 17 divide a?
True
Suppose -33 = g + 3*c, -g + 2*g = c - 21. Let b = 53 + g. Does 10 divide b?
False
Let l(r) = -90*r + 19. Is l(-1) a multiple of 3?
False
Suppose 5*t = -2*w + 1951, 2*t + 3135 - 1163 = 2*w. Is 20 a factor of w?
False
Let s(f) = -7*f + 31. Let c(a) = -6*a + 31. Let u(w) = 3*c(w) - 4*s(w). Does 11 divide u(9)?
False
Let r(t) = -t + 6. Let j be r(2). Suppose j*q = -0*q. Suppose 4*f + 11 = 3*i, -4*i - 5*f + 4 + 21 = q. Is i a multiple of 5?
True
Let i = -358 + 1324. Is 21 a factor of i?
True
Does 6 divide ((-2771)/51)/((-2)/6)?
False
Let j = 83 - 83. Suppose j = -a - 6 + 221. Is 43 a factor of a?
True
Let d(s) = s**3 + 7*s**2 - 3. Let p = -18 + 21. Suppose 2*r - 2*b - b + 1 = 0, 3*b - 6 = p*r. Does 17 divide d(r)?
False
Let o(i) = i**2 - 16*i + 27. Let k = 126 - 101. Does 42 divide o(k)?
True
Let f(w) = -w**3 + 18*w**2 + 94*w + 51. Does 27 divide f(21)?
True
Suppose -5*c - 28 = -b - b, 0 = -5*b + c + 116. Suppose 5*z - b = -n, -3*z - n = -0*z - 16. Suppose -5*s = 20, 491 = 6*g - g - z*s. Does 31 divide g?
False
Let c be 33*(6/2 + -4). Let h = -27 - c. Suppose h*x = x + 15. Does 3 divide x?
True
Let z be -1 - 3/((-9)/21). Let q be 53/(-2) - z/(-4). Let f = 55 + q. Is f a multiple of 15?
True
Let v(k) = 3*k - 4*k + 2 + 0*k + 6. Is 3 a factor of v(-17)?
False
Suppos | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from {q: 3, d: 6, l: 1, x: 3, r: 1, n: 4}. Give prob of sequence xxrd.
1/2040
Calculate prob of sequence qpp when three letters picked without replacement from {a: 1, p: 2, g: 1, q: 1}.
1/30
What is prob of sequence uiu when three letters picked without replacement from {h: 1, u: 2, i: 1}?
1/12
Calculate prob of sequence jj when two letters picked without replacement from bjddddjddbjddddddd.
1/51
Two letters picked without replacement from {j: 3, r: 8}. What is prob of sequence jj?
3/55
What is prob of sequence uoou when four letters picked without replacement from oouooouuouoouuouuuuu?
22/323
Two letters picked without replacement from sssyysy. Give prob of sequence ys.
2/7
Two letters picked without replacement from {d: 2, u: 1, k: 2, e: 1, b: 1, t: 1}. Give prob of sequence ue.
1/56
Four letters picked without replacement from {j: 4, d: 2, g: 7, x: 3, c: 2}. What is prob of sequence xxcd?
1/3060
Two letters picked without replacement from {w: 4, i: 2}. What is prob of sequence ww?
2/5
Three letters picked without replacement from zpfpufppuzlzazllu. Give prob of sequence pua.
1/340
Calculate prob of sequence ddkd when four letters picked without replacement from {d: 9, c: 2, k: 7}.
49/1020
Four letters picked without replacement from {h: 1, v: 4, t: 4, i: 1, c: 5}. What is prob of sequence vvht?
2/1365
Four letters picked without replacement from cgpizgnic. What is prob of sequence zzcc?
0
Calculate prob of sequence azzw when four letters picked without replacement from bbwbwbbbbwzzabzbwa.
1/1530
Calculate prob of sequence lpp when three letters picked without replacement from {p: 2, l: 9, e: 2}.
3/286
Two letters picked without replacement from {r: 2, w: 6, c: 1, b: 3, q: 5, x: 3}. Give prob of sequence cr.
1/190
What is prob of sequence brup when four letters picked without replacement from {u: 1, r: 3, l: 2, p: 1, b: 3, v: 2}?
1/1320
Four letters picked without replacement from {b: 2, d: 8, s: 2}. What is prob of sequence ssdd?
14/1485
Calculate prob of sequence yygf when four letters picked without replacement from yglgspsppfygy.
3/2860
Four letters picked without replacement from {u: 5, r: 2}. What is prob of sequence ruuu?
1/7
Calculate prob of sequence sqs when three letters picked without replacement from {t: 13, q: 3, s: 2}.
1/816
Calculate prob of sequence ccc when three letters picked without replacement from chchllhhhllpcklcplhh.
1/285
Calculate prob of sequence immp when four letters picked without replacement from {h: 9, p: 5, i: 2, m: 3}.
5/7752
What is prob of sequence iq when two letters picked without replacement from {i: 4, q: 6}?
4/15
Three letters picked without replacement from ppaapppppappap. Give prob of sequence aaa.
1/91
Two letters picked without replacement from {z: 2, k: 2, v: 8, m: 5}. Give prob of sequence vk.
1/17
Three letters picked without replacement from itll. What is prob of sequence itl?
1/12
What is prob of sequence hr when two letters picked without replacement from {r: 3, h: 2}?
3/10
Four letters picked without replacement from {x: 4, h: 6, j: 7, l: 1}. What is prob of sequence hxhx?
1/204
Two letters picked without replacement from {h: 3, j: 1, k: 2, a: 1}. Give prob of sequence ak.
1/21
Calculate prob of sequence lcw when three letters picked without replacement from lllclclwlclllccllle.
10/969
Two letters picked without replacement from {b: 1, v: 1, q: 3, f: 2, t: 1, x: 4}. What is prob of sequence qt?
1/44
What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?
1
Calculate prob of sequence aw when two letters picked without replacement from adwqwedwwaaawaw.
1/7
Three letters picked without replacement from {y: 2, n: 2, u: 2}. What is prob of sequence yny?
1/30
Two letters picked without replacement from sfs. What is prob of sequence fs?
1/3
Four letters picked without replacement from vvvzzozyyz. Give prob of sequence zzov.
1/140
Calculate prob of sequence mk when two letters picked without replacement from {h: 1, m: 8, k: 6}.
8/35
Two letters picked without replacement from {t: 5, c: 3}. Give prob of sequence ct.
15/56
Four letters picked without replacement from wwwwwggwwwww. Give prob of sequence ggww.
1/66
Calculate prob of sequence gk when two letters picked without replacement from vvvsvkvivgvivvvs.
1/240
Two letters picked without replacement from {t: 16, r: 4}. Give prob of sequence tr.
16/95
Three letters picked without replacement from imooiimmmigixmoim. Give prob of sequence oog.
1/680
What is prob of sequence lee when three letters picked without replacement from {l: 1, e: 7}?
1/8
What is prob of sequence ssb when three letters picked without replacement from bsbsbbbsbs?
1/10
Calculate prob of sequence xs when two letters picked without replacement from laahxaxseall.
1/66
Two letters picked without replacement from nggdngnndgdgg. What is prob of sequence gn?
2/13
Two letters picked without replacement from {c: 4, v: 1, x: 2}. What is prob of sequence cc?
2/7
What is prob of sequence tf when two letters picked without replacement from {b: 3, f: 1, t: 2, p: 1, e: 5, m: 3}?
1/105
Three letters picked without replacement from vivvhzvikkhi. Give prob of sequence ikz.
1/220
What is prob of sequence tw when two letters picked without replacement from {w: 3, t: 4}?
2/7
Calculate prob of sequence yo when two letters picked without replacement from yycoryccroc.
3/55
Three letters picked without replacement from {v: 3, w: 4, f: 3, g: 4}. What is prob of sequence vfg?
3/182
What is prob of sequence aqla when four letters picked without replacement from {a: 2, l: 2, q: 1, g: 4}?
1/756
Calculate prob of sequence oded when four letters picked without replacement from {d: 2, o: 5, x: 1, e: 1}.
5/1512
Calculate prob of sequence jggg when four letters picked without replacement from {t: 5, j: 2, g: 13}.
143/4845
Calculate prob of sequence uu when two letters picked without replacement from uuuuccuc.
5/14
Calculate prob of sequence azz when three letters picked without replacement from aaazzvyahazzvvzza.
3/68
Calculate prob of sequence ulcc when four letters picked without replacement from cclllccccucclulccccc.
13/969
Two letters picked without replacement from lelrrrtextterettre. What is prob of sequence xl?
1/153
Three letters picked without replacement from eiee. What is prob of sequence eie?
1/4
Two letters picked without replacement from {t: 1, b: 1, m: 3, h: 1, k: 2, n: 4}. Give prob of sequence hb.
1/132
Two letters picked without replacement from {g: 3, n: 1, k: 5, e: 1}. Give prob of sequence eg.
1/30
Two letters picked without replacement from {q: 1, d: 2, c: 5, n: 2, p: 6}. Give prob of sequence nn.
1/120
Three letters picked without replacement from {s: 4, d: 2}. Give prob of sequence sdd.
1/15
Two letters picked without replacement from wnwwgugfuutuftwnwu. Give prob of sequence nn.
1/153
Calculate prob of sequence ooyy when four letters picked without replacement from oyoopoyoxyoyop.
3/143
What is prob of sequence fjz when three letters picked without replacement from fgffjfzfgjdjzfjjo?
1/68
What is prob of sequence aar when three letters picked without replacement from uraqqa?
1/60
What is prob of sequence vvjv when four letters picked without replacement from {j: 1, f: 3, v: 3, z: 4}?
1/1320
Three letters picked without replacement from smxtxtxxxtmv. What is prob of sequence smm?
1/660
What is prob of sequence zry when three letters picked without replacement from nryyynnznzy?
4/495
Two letters picked without replacement from {v: 1, y: 2, f: 1, k: 4}. What is prob of sequence yy?
1/28
Three letters picked without replacement from {y: 2, e: 2, l: 1, q: 6, p: 1}. What is prob of sequence eyy?
1/330
Three letters picked without replacement from hzhzzhzzzzhhhhzz. Give prob of sequence zzz.
3/20
Three letters picked without replacement from {k: 2, p: 1, n: 1, r: 1}. Give prob of sequence rnk.
1/30
Three letters picked without replacement from {s: 2, l: 2, z: 5, m: 3}. Give prob of sequence zml.
1/44
Three letters picked without replacement from {g: 6, a: 3, p: 6}. Give prob of sequence app.
3/91
Calculate prob of sequence vs when two letters picked without replacement from eesesssvdvsesv.
9/91
What is prob of sequence nn when tw | {
"pile_set_name": "DM Mathematics"
} |
p + 28, 2*p + 5*g + 9 = -3. Is p even?
True
Let q(n) = n**2 - 7*n. Let i = -4 - -13. Let x be q(i). Suppose 3*k = k + x. Is 5 a factor of k?
False
Suppose 0 = d - 5*p - 57, -5*d + 3*p + 313 = 6*p. Is 4 a factor of d?
False
Let r = 222 + -70. Is r a multiple of 38?
True
Let b = 3 - 9. Let x be ((-4)/b)/((-4)/(-24)). Suppose g + 8 = q - 4*q, -x*g = -4*q - 48. Does 5 divide g?
False
Let r(z) = z + 5. Does 3 divide r(3)?
False
Let n be (-2 - -3)*-3 + -22. Let f = -1 - n. Suppose 2*m - f = 18. Is 7 a factor of m?
True
Suppose -v - 2*k + 290 = v, -4*v = -k - 595. Is 15 a factor of v?
False
Let s = -9 - -1. Let v(n) = n**3 + 7*n**2 - 8*n - 9. Let t be v(s). Is -6*(0 - (-15)/t) a multiple of 10?
True
Let x be (-2)/6*(-11 + -7). Let k(g) = -2*g**3 + 3*g**2 - 8*g + 12. Let q(p) = -p**3 + 2*p**2 - 4*p + 6. Let j(i) = 4*k(i) - 9*q(i). Is j(x) a multiple of 12?
False
Let i be (5/(-2))/((-2)/12). Suppose 6*u = 3*u - i. Is 12/u*30/(-9) a multiple of 3?
False
Is 6 a factor of (-21)/(-28)*(25 - 1)?
True
Let h(p) = 4*p**3 - 3*p**2 + 2*p - 2. Suppose 2*a - 5*a - 6 = 0. Let o be a + 4 - (1 + -1). Does 11 divide h(o)?
True
Let z(g) = g**3 - 6*g**2 - 1. Let q be z(6). Let k be (0*3/(-6))/q. Is (k - -1)*9/3 a multiple of 2?
False
Let o(v) = 2*v**2 - 2*v - 1. Let p be o(3). Let j = -3 + p. Is j even?
True
Is 13*1 + -30 + 30 a multiple of 8?
False
Is 5 a factor of (9 - 7)*(0 + 25)?
True
Suppose -3*p - 24 = d, 3*d - 5 = 2*p + 11. Let o(h) = h**3 + 7*h**2 - 9*h - 9. Let k be o(p). Let x = k + 3. Is x a multiple of 2?
True
Let s = 116 + -26. Is 6 a factor of s?
True
Let b(w) = -w**3 - 6*w**2 - 11*w - 43. Is 7 a factor of b(-6)?
False
Suppose 0 = -3*y + 3*i + 1089, -3*y = -5*i + 199 - 1294. Is 30 a factor of y?
True
Let u be 3/5 - (-2139)/(-15). Let w = -94 - u. Is w a multiple of 13?
False
Let h = -4 + 88. Does 7 divide h?
True
Let z be 107/(-3*(-1)/3). Suppose 0 = 3*o - 1 - z. Is o a multiple of 14?
False
Is 12 a factor of (-1)/(25/65 - 2/5)?
False
Suppose -2*k + 756 = k. Does 21 divide k?
True
Let p(d) = 8*d**2 + 2*d - 2. Does 8 divide p(1)?
True
Let j(u) = -u**3 + 8*u**2 + 3. Let l be j(8). Does 7 divide (-10)/(-15) + 70/l?
False
Let s = 80 - 40. Does 20 divide s?
True
Let v(l) = 4*l**2 - 3*l - 3. Is 4 a factor of v(-2)?
False
Let p = 2 + -3. Is p/(-2)*0 - -20 a multiple of 7?
False
Let d = 6 + -6. Let u be (d - 1/(-1))*5. Let h(y) = -y**3 + 7*y**2 - 6*y + 3. Does 11 divide h(u)?
False
Let i be (-4)/(-8) - 938/4. Does 15 divide i/(-14) + (-2)/(-7)?
False
Let m be 3/1*2/3. Suppose -g = m*g + 2*c - 47, -4*g = c - 61. Is 10 a factor of g?
False
Suppose -3*z - 15 = 0, 0 = 2*t - z - 0*z + 1. Let g(k) = -k**3 + 4*k**2 - 4*k + 4. Let f be g(3). Is (-28)/t*(f - -2) a multiple of 11?
False
Let b = -44 - -64. Does 20 divide b?
True
Let i be 4/2 + 53 + -3. Suppose -3*r + 2*r = -2*v + 43, -2*v + 4*r + i = 0. Is v a multiple of 8?
False
Let u be ((-3)/(-6))/(1/22). Let d(g) = -g + 1. Let s be d(5). Let o = u + s. Is o a multiple of 3?
False
Let g = -23 + 27. Is g even?
True
Let h = 289 + -157. Does 33 divide h?
True
Let b be ((-8)/3)/((-4)/6). Suppose l = -l + b*h + 52, -2*h = 10. Does 8 divide l?
True
Suppose 0 = -4*y - h - 56, 3*h + h - 16 = 0. Let k = y + 26. Is k a multiple of 8?
False
Suppose 2*r - r = 2*d + 4, 20 = 5*r + d. Suppose 222 = r*w + 70. Does 19 divide w?
True
Let d = 55 - 23. Does 8 divide d?
True
Let n = 318 + -219. Let d = 185 - n. Does 24 divide d?
False
Let q(g) = g**3 + 7*g**2 - 6*g + 3. Let o be q(-8). Let k = -8 - o. Is k a multiple of 4?
False
Let b be (3 - 0) + (-58 - -9). Is 5 a factor of b/(-10) + 10/25?
True
Let s be (0 - 0/1)/(-2). Suppose 4*r - 1 - 39 = s. Let g = r - -20. Does 15 divide g?
True
Let r = -158 - -302. Is r a multiple of 36?
True
Let v(f) = f**3 + 5*f**2 + 2. Let j be (-16)/6*(-9)/(-6). Is v(j) a multiple of 7?
False
Let u = 121 - 77. Is 8 a factor of u?
False
Suppose -5 = -3*q + a, 2*q + 3*a - 3 = 4. Let f = 14 - 7. Suppose -r + q*r = f. Is r a multiple of 3?
False
Suppose 3 = f + 3*a - 6, a - 17 = -5*f. Does 4 divide -4*(f - (5 + -1))?
True
Suppose h - 96 - 74 = 0. Is h a multiple of 12?
False
Suppose 3*f - 432 = 6*f. Is f/(-56) + 6/14 a multiple of 2?
False
Suppose 5*v - 74 = 4*r, -2*r - 3*r + 2*v = 101. Let j = r + 34. Does 5 divide j?
False
Let b(q) = -q**3 + 3*q**2 + 1. Suppose -w + d + 5 = 0, 0*d = 2*w - d - 7. Let z be b(w). Suppose z*f + 0*f = 160. Is 10 a factor of f?
False
Let w be (3/(-4))/(3/(-8)). Is 16 + (3 - 0/w) a multiple of 10?
False
Suppose l + 2*l - 4 = 4*y, -3*y + 2*l = 2. Suppose 2*n = 3*a - 59, 0 = -y*a + 3*n + 2*n + 54. Does 6 divide a?
False
Let n = -124 + 232. Is n a multiple of 36?
True
Let h(s) = -s**3 + 5*s**2 - 4*s + 2. Let t be h(4). Suppose -z = -t*z + 3. Suppose 46 = -n + z*n. Does 14 divide n?
False
Let z be 3*-1*(1 - 2). Suppose 3*j = 3*r + 33, z*j - 2*r - 29 = 2*r. Suppose -j = 2*s - 5*s. Does 5 divide s?
True
Let q be (0 - (1 + 0))*-22. Suppose 18 = -2*r + 2*p, r - 2*r + 3*p - 19 = 0. Let h = q + r. Is 12 a factor of h?
False
Let l = 13 - 22. Does 2 divide (l/(-27))/(1/27)?
False
Let w be (28/12 - 2)*69. Suppose -25 - w = -3*y. Is 4 a factor of y?
True
Let p = 91 - -32. Is 25 a factor of p?
False
Suppose 3*v - 8 = -2*n, -v + 2 = 2*v - 4*n. Suppose 14 = v*f + 6. Suppose -f*h + 20 + 12 = 0. Is 8 a factor of h?
True
Suppose -2*j = -p - 21, 2*j + 1 - 23 = 2*p. Let x = j - -24. Does 17 divide x?
True
Is 4 a factor of (8/14)/(2/14)?
True
Let a = 36 - 21. Is a a multiple of 4?
False
Let y(g) = 2*g - 2. Let p be y(-9). Let z = -33 - p. Let n = 2 - z. Is n a multiple of 15?
True
Suppose 66 = -5*q + 491. Is 9 a factor of q?
False
Let o = -5 + 11. Let w be o/(3*1/3). Is 9 a factor of -3*(-2)/(w/9)?
True
Suppose -4*l + 656 = 2*o, 2*o - 328 = -4*l + 2*l. Suppose -5*p - 2*t + l = 10, -p + 4*t + 22 = 0. Is p a multiple of 15?
True
Suppose 5*m - 87 = 553. Does 32 divide m?
True
Suppose 4*l = 6 + 6. Suppose 2*g - 2 = -n, -n + 6*g + 12 = l*g. Is 6 a factor of n?
True
Suppose 5*g = 2*r - 5 - 12, 2*r + 5*g + 13 = 0. Is 6 a factor of (-3 - r - -1) + 19?
False
Let t = -3 - -3. Suppose -u + 4*u - 54 = t. Is 6 a factor of u?
True
Suppose -5*n + 0*t = 3*t - 56, -3*n = -t - 42. Let o = 19 + n. Is o a multiple of 16?
True
Suppose 6 = t + u - 14, -110 = -5*t - 3*u. Is 7 a factor of t?
False
Suppose -4*t + 8 = 0, d = -d - 4*t + 48. Does 9 divide d?
False
Is 20 a factor of 7*7/((-196)/(-648))?
False
Let d(a) = -3*a**3 + 17*a**2 - 14*a + 21. Let q(u) = -u**3 + 8*u**2 - 7*u + 10. Let h(k) = -2*d(k) + 5*q(k). Is 4 a factor of h(-7)?
True
Suppose -4*n = -46 - 114. Suppose 5*k - 135 = n. Does 9 divide k?
False
Let p(f) = -f + 2. Let k(a) = -5*a + 9. Let u(c) = -2*k(c) + 9*p(c). Let z be u(2). Suppose 3*s = 3*j - z*j + 67, -j = 2*s - 48. Does 12 divide s?
False
Let j(p) = 3*p**2 + 6*p - 1. Is 22 a factor of j(4)?
False
Let p(x) = -65*x**2 - 2*x - 1. Let y be p(-1). Let u = 106 + y. Does 14 divide u?
True
Suppose 3*c = -g + c + 4, -5*c + 5 = 0. Let y = 0 + g. Does 8 divide y/(-5) - (-57)/5?
False
Is 18 a factor of (90/24)/((-1)/(-28))?
False
Suppose -2*q = -2*n - q + 18, -3*q = -n + 14. Suppose n + 22 = 5*t. Is t even?
True
Let w = 133 - 78. Suppose w + 20 = 5*p. Is p a multiple of 8?
False
Let a(y) = -5*y - 33. Is a(-10) a multiple of 8?
False
Is 31 a factor of 1 - -2 - (-157 + 5)?
True
Suppose 168 = i + 3*i. Does 5 divide i?
False
Suppose 20 = -3*x - x. Let r(b) = b**2 + b - 7. Is 13 a factor of r(x)?
True
Let m be (-10)/15 - 251/(-3). Let c = m - 43. Suppose -5*k = 4*g - c, -4*k - 2*g + 36 = 2*g. Does 3 divide k?
False
Let h be 21/(-2)*132/(-18). Suppose -23 + h = 2*c. Is c a multiple of 18?
False
Let a(q) = -13*q + 75. Is a(-9) a multiple of 24?
True
Is (5 - 6)/((-1)/38) a multiple of 19?
True
Suppose 8*y + 5*y = 1430. Does 10 divide y?
True
Let d(a) = a + 8. Let x be d(-8). Suppose 0 = -p + t - 19, -2*p = 5*t - x*t + 24. Let g = 31 + p. Does 4 divide g?
False
Suppose -4*j = 2*m + j - 33, -4*j = -m - 16. Suppose -m*v + 2*u = -122, -2*u = 2*u - 12. Is 8 a factor of v?
True
Let n = -36 + 54. Suppose -2 - n = -4*t. Suppose 4*c = -2*j + 30, t = -j + c + c. Is 5 a factor of j?
True
Let x(m) = -9*m - 4. Let g be x(-6). Suppose -g = 6*n - n. Let u = 34 + n. Is 12 a factor of u?
True
Let x(o) = o**2 - 5*o - 2. Let l be x(6). Let v(c) | {
"pile_set_name": "DM Mathematics"
} |
.1 in decreasing order.
266, 5, -0.06, -0.1
Put -1, -0.93, -1/6 in ascending order.
-1, -0.93, -1/6
Put -9, -3, -5, -17 in decreasing order.
-3, -5, -9, -17
Sort 0, -2/7, 87, 2/3.
-2/7, 0, 2/3, 87
Put 0, 8, -27 in decreasing order.
8, 0, -27
Sort 0.4, -0.3, 21 in ascending order.
-0.3, 0.4, 21
Put -5, 1/3, 4, 0.2 in ascending order.
-5, 0.2, 1/3, 4
Put 3, -48, -4, 34 in ascending order.
-48, -4, 3, 34
Sort 8, -2, 2, -3.
-3, -2, 2, 8
Sort -3, -4, -42, -5.
-42, -5, -4, -3
Sort -2/5, -2, 15 in increasing order.
-2, -2/5, 15
Sort -2/7, 370, 0.5 in ascending order.
-2/7, 0.5, 370
Sort -1, -3, -36.
-36, -3, -1
Put -2/41, 5, -0.5, 8 in descending order.
8, 5, -2/41, -0.5
Sort 7, -3, -0.8, -3/8 in descending order.
7, -3/8, -0.8, -3
Put 14, -3, 9 in increasing order.
-3, 9, 14
Sort 36, -2, 1, -4 in decreasing order.
36, 1, -2, -4
Put -0.0521, 2, 1 in descending order.
2, 1, -0.0521
Put 3, 7, 1, 5 in decreasing order.
7, 5, 3, 1
Put 0.24, -0.29, 0.2 in increasing order.
-0.29, 0.2, 0.24
Sort 131, -5, -7.
-7, -5, 131
Sort 1, 46, -5, 25, 4 in descending order.
46, 25, 4, 1, -5
Sort -17, 3, -34, 5 in ascending order.
-34, -17, 3, 5
Put -1, -3, -4, -6 in decreasing order.
-1, -3, -4, -6
Put 5/2, -5284, 1 in ascending order.
-5284, 1, 5/2
Put -2, -210, 3, 4 in descending order.
4, 3, -2, -210
Sort 5, 3/2, 7 in decreasing order.
7, 5, 3/2
Put 0.1, -1, -7, 2/7, 2/21 in ascending order.
-7, -1, 2/21, 0.1, 2/7
Put -5, -2, 2 in ascending order.
-5, -2, 2
Sort -40, 0, -0.2, -8 in decreasing order.
0, -0.2, -8, -40
Sort -2/15, 3/7, 5, 104.
-2/15, 3/7, 5, 104
Put 5, 0.2, 1/2, 5/4, 1 in increasing order.
0.2, 1/2, 1, 5/4, 5
Put -1, -5, -20, -6 in increasing order.
-20, -6, -5, -1
Sort 4, -1, 5, 12/5, -3 in increasing order.
-3, -1, 12/5, 4, 5
Put -5, 85, -2, -1 in increasing order.
-5, -2, -1, 85
Put 0, 14, -0.5, 19 in increasing order.
-0.5, 0, 14, 19
Sort 17, 3, -3.
-3, 3, 17
Put -2, 2/13, -1, 1/4 in decreasing order.
1/4, 2/13, -1, -2
Sort 0.4, 1/14, -0.14.
-0.14, 1/14, 0.4
Put 0, 10, -5, -89 in descending order.
10, 0, -5, -89
Sort 0.2, 1, -0.5, -59 in ascending order.
-59, -0.5, 0.2, 1
Sort -2/19, 0.1, 363 in decreasing order.
363, 0.1, -2/19
Sort -364, -0.3, -3, -0.5 in ascending order.
-364, -3, -0.5, -0.3
Put -2, 22, -12 in decreasing order.
22, -2, -12
Put 5, -53, -7 in descending order.
5, -7, -53
Put 0, -0.09, -2/11 in descending order.
0, -0.09, -2/11
Sort 0, 108, 5 in decreasing order.
108, 5, 0
Sort 1/4, 0, 0.3 in decreasing order.
0.3, 1/4, 0
Put 0, 5, -7, -14 in decreasing order.
5, 0, -7, -14
Put 0.5, 0.1, -0.1, 0.03 in descending order.
0.5, 0.1, 0.03, -0.1
Sort -2/7, 7.49, -1.
-1, -2/7, 7.49
Sort -4, -46.68, -2/15 in decreasing order.
-2/15, -4, -46.68
Put -1, -18, 3, 4 in ascending order.
-18, -1, 3, 4
Sort -0.03, -3, 5 in increasing order.
-3, -0.03, 5
Sort -5, -2, 508, 4.
-5, -2, 4, 508
Put 5, -14, 4, -3, 6 in decreasing order.
6, 5, 4, -3, -14
Sort 4, -1937, 5, -4 in increasing order.
-1937, -4, 4, 5
Sort 5, 3, -7 in ascending order.
-7, 3, 5
Sort 1/7, 0.2, -192 in descending order.
0.2, 1/7, -192
Put -4, 2/9, 33, -2/3 in decreasing order.
33, 2/9, -2/3, -4
Sort 0.019, -3, 0 in decreasing order.
0.019, 0, -3
Sort 12, 4, -1, -2 in descending order.
12, 4, -1, -2
Put -2/5, 3, 0.063 in increasing order.
-2/5, 0.063, 3
Sort -7, -9, -16, 1 in descending order.
1, -7, -9, -16
Put 1/5, 0.07, 2/3, -3 in increasing order.
-3, 0.07, 1/5, 2/3
Sort -38, 5, -10.
-38, -10, 5
Put 23, -1/10, 4 in descending order.
23, 4, -1/10
Put -4, 2/7, 3, -5 in decreasing order.
3, 2/7, -4, -5
Sort 0, -472, 2, 5.
-472, 0, 2, 5
Sort 5, -2, 9, -4, -40 in ascending order.
-40, -4, -2, 5, 9
Sort 5, -2/5, -31 in ascending order.
-31, -2/5, 5
Sort 2, -22, -6 in increasing order.
-22, -6, 2
Put -2, 5, 4, -3 in decreasing order.
5, 4, -2, -3
Sort -1, -4, 4, 5, 1 in decreasing order.
5, 4, 1, -1, -4
Sort -0.2, -1, 26 in decreasing order.
26, -0.2, -1
Sort 3, 6, -5, 2/393 in increasing order.
-5, 2/393, 3, 6
Sort -2, -13, -4, 4, -1/182 in descending order.
4, -1/182, -2, -4, -13
Sort -1, -561, 3, -3, 1 in ascending order.
-561, -3, -1, 1, 3
Sort 40, 17, 5.
5, 17, 40
Sort -5, 516, -2 in ascending order.
-5, -2, 516
Sort -2/3, 3/8, -0.2, -4 in decreasing order.
3/8, -0.2, -2/3, -4
Sort -0.01, -13, 1/4, 0.2, -4.
-13, -4, -0.01, 0.2, 1/4
Put -2, -109, -4, 4 in increasing order.
-109, -4, -2, 4
Sort 1/4, -8, 9.
-8, 1/4, 9
Sort 5, -1, 0.5, 0, -0.11.
-1, -0.11, 0, 0.5, 5
Sort 1, -4, 4, -15 in descending order.
4, 1, -4, -15
Sort -25, 5, -2, 1 in descending order.
5, 1, -2, -25
Sort 3/4, 2/5, 1/5, -0.06 in ascending order.
-0.06, 1/5, 2/5, 3/4
Sort 1, -8, 3, -2.
-8, -2, 1, 3
Sort -3/7, -77, 8 in increasing order.
-77, -3/7, 8
Sort 1, 1/5, -1.1 in decreasing order.
1, 1/5, -1.1
Put -155, -4, 0 in descending order.
0, -4, -155
Sort 9, -4, -5, -1 in ascending order.
-5, -4, -1, 9
Sort -5, 3, 32, 5, 2 in decreasing order.
32, 5, 3, 2, -5
Put 0.21, 5, -0.3, 4 in decreasing order.
5, 4, 0.21, -0.3
Put -3, 0.4, 497, -2/3 in decreasing order.
497, 0.4, -2/3, -3
Sort -2/309, -3, -1 in decreasing order.
-2/309, -1, -3
Sort 3, -3, -10, 32 in decreasing order.
32, 3, -3, -10
Sort 0, -1/7, -2, -2/13 in decreasing order.
0, -1/7, -2/13, -2
Put 2, 27, -1, -2 in decreasing order.
27, 2, -1, -2
Sort -5, -4, 3, 5 in increasing order.
-5, -4, 3, 5
Sort -97, -1, -3 in descending order.
-1, -3, -97
Put 5, -1, -16, -4, -32 in increasing order.
-32, -16, -4, -1, 5
Put 4, -5, 144, 0 in ascending order.
-5, 0, 4, 144
Put 4, 3, 2 in decreasing order.
4, 3, 2
Sort 3/2, -3, -12.9 in descending order.
3/2, -3, -12.9
Put -0.4, -1/5, -14, -0.1 in descending order.
-0.1, -1/5, -0.4, -14
Sort -1/112, 1/4, 1/2, 5, -4 in ascending order.
-4, -1/112, 1/4, 1/2, 5
Sort 6, 10, -3, -2 in increasing order.
-3, -2, 6, 10
Sort -5, 1, -15, 7, 4 in increasing order.
-15, -5, 1, 4, 7
Put 1, -1, -2/13, 18 in decreasing order.
18, 1, -2/13, -1
Sort 0, -15, -6, -5.
-15, -6, -5, 0
Put -4, -9, -2, 24, -6 in descending order.
24, -2, -4, -6, -9
Put 0, 3, -21, 61, 0.1 in decreasing order.
61, 3, 0.1, 0, -21
Sort -1/3, -0.4, -1 in decreasing order.
-1/3, -0.4, -1
Put -3, 4, 2077, -1 in decreasing order.
2077, 4, -1, -3
Sort 0.1, -1/2, -45/2, -1 in ascending order.
-45/2, -1, -1/2, 0.1
Sort 3, -1.4, 4, 8/5 in decreasing order.
4, 3, 8/5, -1.4
Sort -0.03, -1, 43, -5.
-5, -1, -0.03, 43
Put -3.4, -0.03, -5, -4, 2/9 in ascending order.
-5, -4, -3.4, -0.03, 2/9
Sort -4, -2/9, 1.7.
-4, -2/9, 1.7
Put -3, -1/2, 2, -2 in increasing order.
-3, -2, -1/2, 2
Sort -2.17, 2, 0.4, -2 in decreasing order.
2, 0.4, -2, -2.17
Sort -0.3, 93, -4, -2/9 in descending order.
93, -2/9, -0.3, -4
Sort -0.2, 12, 18, 0.3, 3/4.
-0.2, 0.3, 3/4, 12, 18
Put 2, -5, -4, 95, 6 in increasing order.
-5, -4, 2, 6, 95
Put 0.4, 0.3, 3/2, -7 in decreasing order.
3/2, 0.4, 0.3, -7
Put 5, 4, -0.11, 0.2, 3 in descending order.
5, 4, 3, 0.2, -0.11
Put -1, 2/9, -4/15, 0.4 in increasing order.
-1, -4/15, 2/9, 0.4
Put -18, -26, 5, 1 in decreasing order.
5, 1, -18, -26
Sort -4, 0, 5, -1, 116 in decreasing order.
116, 5, 0, -1, -4
Put 7, -229, 4 in decreasing order.
7, 4, -229
Put -0.2, -11/6, 3/8, -2 in decreasing order.
3/8, -0.2, -11/6, -2
Sort -0.5, -1/6, -18, 5, -1 in decreasing order.
5, -1/6, -0.5, -1, -18
Sort -3, -63, 1 in descending order.
1, -3, -63
Put 0, -3, -11 in increasing order.
-11, -3, 0
Sort 261, 0, -8 in descending order.
261, 0, -8
Put -5, -3, 129 in decreasing order.
129, -3, -5
Put 5, 6, -1, -52, 3 in ascending order.
-52, -1, 3, 5, 6
Sort -1, -5, -3, 695 in descending order.
695, -1, -3, -5
Sort 4, 9, -3.3 in ascending order.
-3.3, 4, 9
Put -108, -4, 1/8, -0.4, -3 in increasing order.
-108, -4, -3, -0.4, 1/8
Put 0.3, 5, -1.9, 1/50, -1 in decreasing order.
5, 0.3, 1/50, -1, -1.9
Sort 1, -4, 17 in increasing order.
-4, 1, 17
Put -3/2, -1/11, 2/13, 4, -2 in ascending order.
-2, -3/2, -1/11, 2/13, 4
Sort 2/29, 2, 1 in ascending order.
2/29, 1, 2
Sort 676, -2, 0 in increasing order.
-2, 0, 676
Sort -5, 0.042, 2/5 in ascending order.
-5, 0.042, 2/5
Sort 5, -2/7, -2/23, -1/6 in descending order.
5, -2/23, -1/6, -2/7
Put 524, 5, -5 in descending order.
524, 5, -5
Sort -22, 0, 0.4 in decreasing order.
0.4, 0, -22
Put -6, -4, -0.2, 4, -5 in descending order.
4, -0.2, -4, -5, | {
"pile_set_name": "DM Mathematics"
} |
, to the nearest integer?
2
What is 2275 to the power of 1/5, to the nearest integer?
5
What is 12731 to the power of 1/2, to the nearest integer?
113
What is the cube root of 10617 to the nearest integer?
22
What is 1330 to the power of 1/5, to the nearest integer?
4
What is the square root of 27820 to the nearest integer?
167
What is 20910 to the power of 1/4, to the nearest integer?
12
What is 15786 to the power of 1/2, to the nearest integer?
126
What is 2105 to the power of 1/2, to the nearest integer?
46
What is 10738 to the power of 1/2, to the nearest integer?
104
What is 1545 to the power of 1/10, to the nearest integer?
2
What is the third root of 15719 to the nearest integer?
25
What is the fourth root of 5667 to the nearest integer?
9
What is 37573 to the power of 1/2, to the nearest integer?
194
What is the square root of 174 to the nearest integer?
13
What is the square root of 980 to the nearest integer?
31
What is the cube root of 9875 to the nearest integer?
21
What is 19922 to the power of 1/8, to the nearest integer?
3
What is the third root of 4521 to the nearest integer?
17
What is the square root of 267 to the nearest integer?
16
What is the eighth root of 15689 to the nearest integer?
3
What is the cube root of 21975 to the nearest integer?
28
What is 85265 to the power of 1/2, to the nearest integer?
292
What is the third root of 400 to the nearest integer?
7
What is the tenth root of 134815 to the nearest integer?
3
What is 1399 to the power of 1/3, to the nearest integer?
11
What is 1709 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 1401 to the nearest integer?
3
What is the sixth root of 1545 to the nearest integer?
3
What is 1483 to the power of 1/3, to the nearest integer?
11
What is the square root of 2548 to the nearest integer?
50
What is the tenth root of 5102 to the nearest integer?
2
What is the seventh root of 15901 to the nearest integer?
4
What is the cube root of 2460 to the nearest integer?
13
What is 795 to the power of 1/2, to the nearest integer?
28
What is the square root of 5571 to the nearest integer?
75
What is the third root of 787 to the nearest integer?
9
What is the third root of 9252 to the nearest integer?
21
What is the third root of 9795 to the nearest integer?
21
What is the sixth root of 99770 to the nearest integer?
7
What is the square root of 88867 to the nearest integer?
298
What is the fifth root of 258 to the nearest integer?
3
What is the square root of 106396 to the nearest integer?
326
What is the cube root of 376 to the nearest integer?
7
What is 7669 to the power of 1/6, to the nearest integer?
4
What is the cube root of 7517 to the nearest integer?
20
What is the cube root of 2712 to the nearest integer?
14
What is 21873 to the power of 1/10, to the nearest integer?
3
What is the seventh root of 5453 to the nearest integer?
3
What is the fourth root of 55643 to the nearest integer?
15
What is the square root of 12378 to the nearest integer?
111
What is the cube root of 83616 to the nearest integer?
44
What is the ninth root of 860 to the nearest integer?
2
What is the cube root of 107 to the nearest integer?
5
What is 22631 to the power of 1/2, to the nearest integer?
150
What is 29 to the power of 1/4, to the nearest integer?
2
What is the tenth root of 1529 to the nearest integer?
2
What is the ninth root of 968 to the nearest integer?
2
What is 762 to the power of 1/3, to the nearest integer?
9
What is the square root of 1046 to the nearest integer?
32
What is the square root of 930 to the nearest integer?
30
What is 2087 to the power of 1/2, to the nearest integer?
46
What is 6233 to the power of 1/5, to the nearest integer?
6
What is 7152 to the power of 1/5, to the nearest integer?
6
What is the third root of 50876 to the nearest integer?
37
What is 10906 to the power of 1/2, to the nearest integer?
104
What is 73629 to the power of 1/10, to the nearest integer?
3
What is the square root of 20310 to the nearest integer?
143
What is 35160 to the power of 1/9, to the nearest integer?
3
What is 17225 to the power of 1/2, to the nearest integer?
131
What is the square root of 618 to the nearest integer?
25
What is the cube root of 2867 to the nearest integer?
14
What is 15487 to the power of 1/7, to the nearest integer?
4
What is the square root of 2319 to the nearest integer?
48
What is 34785 to the power of 1/3, to the nearest integer?
33
What is 130230 to the power of 1/2, to the nearest integer?
361
What is the square root of 45584 to the nearest integer?
214
What is 4891 to the power of 1/8, to the nearest integer?
3
What is the fourth root of 77097 to the nearest integer?
17
What is the sixth root of 23847 to the nearest integer?
5
What is 16132 to the power of 1/2, to the nearest integer?
127
What is the fifth root of 735 to the nearest integer?
4
What is the square root of 1692 to the nearest integer?
41
What is the third root of 25116 to the nearest integer?
29
What is 29240 to the power of 1/4, to the nearest integer?
13
What is the square root of 50706 to the nearest integer?
225
What is the cube root of 11653 to the nearest integer?
23
What is the cube root of 8571 to the nearest integer?
20
What is 28273 to the power of 1/6, to the nearest integer?
6
What is 39998 to the power of 1/3, to the nearest integer?
34
What is the third root of 109428 to the nearest integer?
48
What is the square root of 37402 to the nearest integer?
193
What is the square root of 14977 to the nearest integer?
122
What is the third root of 29387 to the nearest integer?
31
What is the fourth root of 4896 to the nearest integer?
8
What is 13521 to the power of 1/7, to the nearest integer?
4
What is 11027 to the power of 1/3, to the nearest integer?
22
What is 66548 to the power of 1/8, to the nearest integer?
4
What is the ninth root of 868 to the nearest integer?
2
What is the cube root of 44237 to the nearest integer?
35
What is the square root of 11773 to the nearest integer?
109
What is the square root of 1080 to the nearest integer?
33
What is the square root of 1397 to the nearest integer?
37
What is 7333 to the power of 1/2, to the nearest integer?
86
What is 20355 to the power of 1/8, to the nearest integer?
3
What is the third root of 6272 to the nearest integer?
18
What is the sixth root of 484 to the nearest integer?
3
What is the eighth root of 15678 to the nearest integer?
3
What is the third root of 1295 to the nearest integer?
11
What is 45 to the power of 1/2, to the nearest integer?
7
What is 7811 to the power of 1/2, to the nearest integer?
88
What is the third root of 8421 to the nearest integer?
20
What is the tenth root of 1615 to the nearest integer?
2
What is 44774 to the power of 1/2, to the nearest integer?
212
What is 56819 to the power of 1/2, to the nearest integer?
238
What is the square root of 76357 to the nearest integer?
276
What is 2145 to the power of 1/3, to the nearest integer?
13
What is the tenth root of 262 to the nearest integer?
2
What is the square root of 1375 to the nearest integer?
37
What is 5442 to the power of 1/2, to the nearest integer?
74
What is the square root of 3558 to the nearest integer?
60
What is 37342 to the power of 1/2, to the nearest integer?
193
What is the square root of 18765 to the nearest integer?
137
What is 2391 to the power of 1/2, to the nearest integer?
49
What is 1603 to the power of 1/2, to the nearest integer?
40
What is the sixth root of 38634 to the nearest integer?
6
What is 21544 to the power of 1/2, to the nearest integer?
147
What is 2520 to the power of 1/7, to the nearest integer?
3
What is the cube root of 18145 to the nearest integer?
26
What is 1120 to the power of 1/2, to the nearest integer?
33
What is the third root of 1341 to the nearest integer?
11
What is the cube root of 209 to the nearest integer?
6
What is the tenth root of 696 to the nearest integer?
2
What is the square root of 1947 to the nearest integer?
44
What is 1149 to the power of 1/4, to the nearest integer?
6
What is 992 to the power of 1/2, to the nearest integer?
31
What is the cube root of 296 to the nearest integer?
7
What is the fourth root of 2426 to the nearest integer?
7
What is the tenth roo | {
"pile_set_name": "DM Mathematics"
} |
30
Calculate the remainder when 153059 is divided by 37979.
1143
What is the remainder when 393282 is divided by 785?
782
Calculate the remainder when 1704169 is divided by 1991.
1864
What is the remainder when 10211010 is divided by 2552748?
18
What is the remainder when 21817943 is divided by 1273?
1269
What is the remainder when 246506 is divided by 65?
26
Calculate the remainder when 3493323 is divided by 145554.
27
What is the remainder when 49905853 is divided by 1148?
1145
Calculate the remainder when 504053 is divided by 206.
177
What is the remainder when 8837650 is divided by 26539?
163
What is the remainder when 18602 is divided by 9283?
36
What is the remainder when 708205 is divided by 149?
8
Calculate the remainder when 16844078 is divided by 3165.
3113
What is the remainder when 113518 is divided by 56186?
1146
Calculate the remainder when 5129 is divided by 1835.
1459
Calculate the remainder when 4171486 is divided by 32.
30
Calculate the remainder when 198337 is divided by 1926.
1885
Calculate the remainder when 9299 is divided by 11.
4
Calculate the remainder when 3679435 is divided by 141505.
305
What is the remainder when 554581766 is divided by 4388?
4386
What is the remainder when 233014861 is divided by 50?
11
What is the remainder when 11307 is divided by 10996?
311
Calculate the remainder when 6773791 is divided by 260.
11
What is the remainder when 15238232 is divided by 71?
70
What is the remainder when 4986365 is divided by 1662089?
98
What is the remainder when 15160227 is divided by 3340?
3307
Calculate the remainder when 66639397 is divided by 33319691.
15
Calculate the remainder when 5985601 is divided by 1253.
20
Calculate the remainder when 64376754 is divided by 21.
15
What is the remainder when 687461 is divided by 150?
11
Calculate the remainder when 104193 is divided by 104186.
7
What is the remainder when 1050984 is divided by 703?
702
What is the remainder when 321374 is divided by 950?
274
Calculate the remainder when 124463 is divided by 12.
11
Calculate the remainder when 769750 is divided by 134.
54
Calculate the remainder when 108293 is divided by 2375.
1418
What is the remainder when 1794017 is divided by 448438?
265
What is the remainder when 488471 is divided by 162718?
317
Calculate the remainder when 21446688 is divided by 29.
28
Calculate the remainder when 822653 is divided by 298.
173
What is the remainder when 1211790 is divided by 1121?
1110
Calculate the remainder when 3831148 is divided by 281.
275
Calculate the remainder when 15607506 is divided by 10968.
42
What is the remainder when 62540489 is divided by 821?
814
What is the remainder when 4282719 is divided by 868?
7
Calculate the remainder when 5327341 is divided by 382.
351
What is the remainder when 149427 is divided by 887?
411
What is the remainder when 3022633 is divided by 3977?
113
Calculate the remainder when 3909340 is divided by 1595.
1590
What is the remainder when 1159979 is divided by 102?
35
What is the remainder when 92710 is divided by 756?
478
What is the remainder when 3119106 is divided by 239930?
16
Calculate the remainder when 14211391 is divided by 38.
37
Calculate the remainder when 8013 is divided by 1511.
458
Calculate the remainder when 42441481 is divided by 11160.
1
Calculate the remainder when 6103840 is divided by 632.
616
What is the remainder when 965481 is divided by 965460?
21
What is the remainder when 28049 is divided by 6499?
2053
What is the remainder when 7976188 is divided by 362514?
880
Calculate the remainder when 4137065 is divided by 1034190.
305
Calculate the remainder when 449544445 is divided by 2731.
2728
Calculate the remainder when 3005650 is divided by 1502820.
10
What is the remainder when 48292 is divided by 1665?
7
Calculate the remainder when 625143016 is divided by 681.
679
What is the remainder when 441496 is divided by 11386?
8828
Calculate the remainder when 6755390 is divided by 302.
254
Calculate the remainder when 95000152 is divided by 73.
69
What is the remainder when 42260 is divided by 2839?
2514
What is the remainder when 27511284 is divided by 1434?
1428
Calculate the remainder when 37297974 is divided by 603.
12
What is the remainder when 1955458 is divided by 476?
50
Calculate the remainder when 7535102 is divided by 3767499.
104
What is the remainder when 888472 is divided by 28?
4
What is the remainder when 1029853 is divided by 1029839?
14
Calculate the remainder when 24426961 is divided by 240.
1
Calculate the remainder when 167198 is divided by 33419.
103
Calculate the remainder when 27760982 is divided by 1402.
1382
Calculate the remainder when 64030 is divided by 8262.
6196
What is the remainder when 438065311 is divided by 16?
15
Calculate the remainder when 7266130 is divided by 802.
10
What is the remainder when 113651 is divided by 1307?
1249
Calculate the remainder when 24219 is divided by 11581.
1057
What is the remainder when 5285718 is divided by 1030?
788
Calculate the remainder when 34291 is divided by 16644.
1003
Calculate the remainder when 11119360 is divided by 300523.
9
Calculate the remainder when 18388483 is divided by 813.
49
What is the remainder when 246587 is divided by 49298?
97
What is the remainder when 3714695 is divided by 18?
17
What is the remainder when 1521551 is divided by 333?
74
What is the remainder when 73729345 is divided by 2120?
2105
What is the remainder when 2065833 is divided by 24586?
609
Calculate the remainder when 10285031 is divided by 178.
13
Calculate the remainder when 140104 is divided by 34947.
316
What is the remainder when 989304 is divided by 558?
528
What is the remainder when 1113858 is divided by 222770?
8
What is the remainder when 6035384 is divided by 7202?
108
What is the remainder when 473517 is divided by 8601?
462
Calculate the remainder when 400447 is divided by 44493.
10
Calculate the remainder when 6316420 is divided by 15.
10
What is the remainder when 842471 is divided by 972?
719
What is the remainder when 422078 is divided by 8978?
112
What is the remainder when 113819 is divided by 6749?
5835
What is the remainder when 475035 is divided by 785?
110
Calculate the remainder when 310250 is divided by 292.
146
What is the remainder when 245196 is divided by 866?
118
What is the remainder when 34969796 is divided by 9298?
18
Calculate the remainder when 865419 is divided by 75.
69
What is the remainder when 2135879 is divided by 1224?
1223
What is the remainder when 86836 is divided by 21584?
500
What is the remainder when 2030314 is divided by 107?
96
What is the remainder when 266694 is divided by 133345?
4
What is the remainder when 54302 is divided by 537?
65
Calculate the remainder when 1205871 is divided by 96.
15
What is the remainder when 2776426 is divided by 2139?
4
Calculate the remainder when 46868471 is divided by 6368.
6359
What is the remainder when 544425 is divided by 652?
5
Calculate the remainder when 55304 is divided by 7719.
1271
What is the remainder when 10453882 is divided by 83631?
7
Calculate the remainder when 431954 is divided by 86387.
19
What is the remainder when 654118 is divided by 130823?
3
What is the remainder when 185097 is divided by 6381?
48
Calculate the remainder when 33781901 is divided by 152.
53
What is the remainder when 45562458 is divided by 39?
6
What is the remainder when 1789343 is divided by 981?
980
Calculate the remainder when 30177981 is divided by 40077.
0
What is the remainder when 436868 is divided by 11486?
400
Calculate the remainder when 1970761220 is divided by 8723.
8722
What is the remainder when 512752 is divided by 571?
565
Calculate the remainder when 63540377 is divided by 135.
62
What is the remainder when 422432111 is divided by 3?
2
What is the remainder when 39840180 is divided by 97171?
70
What is the remainder when 796846 is divided by 208?
206
What is the remainder when 70661 is divided by 105?
101
Calculate the remainder when 18984733 is divided by 518.
33
What is the remainder when 1626616 is divided by 46?
10
Calculate the remainder when 8550150 is divided by 9427.
9288
Calculate the remainder when 123275 is divided by 44.
31
Calculate the remainder when 4480652 is divided by 10001.
204
What is the remainder w | {
"pile_set_name": "DM Mathematics"
} |
. Suppose b = -5*g + 2*b + 23, 4*g - b = x. Is g a multiple of 2?
True
Let q be 32/(-20)*(-15)/6. Suppose 4*i + 3*x - 165 = 0, -21 = -2*i + q*x + 89. Is i a multiple of 15?
True
Let n be 1 - (0 + 2) - -6. Suppose 5*h + 3*c = 12 + 25, -2*h + 14 = c. Is 2/h*n*4 a multiple of 6?
False
Let x(n) = n**3 + 13*n**2 + 3*n - 25. Is x(-12) a multiple of 14?
False
Suppose q = -q - 4*c - 4, 2*c + 2 = 3*q. Suppose q*h = 4*h. Is ((-12)/(-1))/(h + 1) a multiple of 12?
True
Let n(w) = 12*w + 36. Is n(5) a multiple of 7?
False
Let u(j) = -j**3 + 11*j**2 - 3*j - 5. Is 34 a factor of u(9)?
False
Suppose 2*x - 116 = -4*l, 0 = -3*x - 2*x + 3*l + 264. Does 6 divide x?
True
Let s = -25 - -37. Is s a multiple of 9?
False
Suppose 132 = 2*r + 100. Does 2 divide r?
True
Let o = 99 - 15. Does 28 divide o?
True
Let v(t) = 2*t**2 - 15*t - 1. Is 3 a factor of v(8)?
False
Does 17 divide (-239)/(-7) - 8/56?
True
Let u(l) = -3*l**3 - 3*l**2 + 2*l - 1. Let y(m) = -m - 7. Let n be y(-10). Suppose 3*h + 21 = -n*j, -3*h + 5*j + 3 + 8 = 0. Is 18 a factor of u(h)?
False
Is 29 a factor of (-4)/(-10) + 4504/40?
False
Suppose -5*a + 204 = -6. Is 21 a factor of a?
True
Let p(w) = -6*w - 4. Does 4 divide p(-4)?
True
Let k(q) be the first derivative of -q**4/4 + 2*q**3 - 3*q**2/2 - 4*q + 1. Let c be k(5). Is ((-16)/c)/(6/(-9)) a multiple of 3?
False
Let d = 16 - 19. Is 4 a factor of 1 + (2 - -20) + d?
True
Let i be (-1*2)/((-2)/17). Let x be i + 0 + (2 - 0). Does 11 divide x + (-2)/(-1) - -2?
False
Let w(f) be the second derivative of -f**4/12 + f**3/2 + 7*f**2/2 + 2*f. Let b be w(5). Does 18 divide (-79)/b + (-2)/(-3)?
False
Let l(u) = -2*u + 2. Let z be 4/10 + 164/(-10). Let w = z + 9. Does 10 divide l(w)?
False
Let w(c) = -c - 5. Let l be w(5). Let v = l - -7. Does 4 divide (-1)/(v/6)*5?
False
Let q(y) = 9*y**2 + 2*y. Let l = -5 + 3. Let i be q(l). Suppose -j + 2*j - i = 0. Does 16 divide j?
True
Suppose 0 = 4*b + 12, 5*z + b - 69 = -7. Is z a multiple of 12?
False
Let o = -3 + 5. Let w(y) be the second derivative of y**4/12 - y**3/3 + 3*y**2/2 - y. Is w(o) a multiple of 3?
True
Let j = -141 + 217. Does 14 divide j?
False
Let a(s) = 143*s + 4. Does 21 divide a(1)?
True
Suppose 0 = 3*d + d - 64. Is d a multiple of 5?
False
Let c(o) = o**2. Let r be c(2). Let s = 4 + r. Suppose -2*f + 9 = -5*b - 17, s = -2*b. Is 2 a factor of f?
False
Is 578/5 - (-20)/50 a multiple of 30?
False
Suppose 3*a + 3*u - 87 = 0, -3*a + 5*u + 115 = u. Is 33 a factor of a?
True
Let u = -5 + 2. Let f(g) = -11*g + 3. Is 12 a factor of f(u)?
True
Let c = 114 + -78. Is c a multiple of 9?
True
Let g(u) = 5*u**2 - 16*u. Let x(n) = -n**2. Let t(i) = -g(i) - 4*x(i). Is t(9) a multiple of 21?
True
Let o(p) = 62*p**3 + 2*p - 1. Is o(1) a multiple of 23?
False
Let j be (-70)/(-22) - (-8)/(-44). Suppose 2*d - 3*d = -l - 13, -5*l = -j*d + 49. Is 8 a factor of d?
True
Suppose -166 - 37 = -t. Does 40 divide t?
False
Let i(w) = 2*w**2 + 4*w - 1. Let d be i(-3). Suppose k - 82 = d*a, -206 = -k - 2*k + 5*a. Is k a multiple of 31?
True
Let j(u) be the second derivative of u**4/6 + 2*u**3/3 + u**2 + 11*u. Is 12 a factor of j(5)?
True
Let w be ((-4)/6*-3)/1. Suppose 3*k = -13 + 4. Is 5 a factor of (w/1 - k) + 0?
True
Let p = 149 - 63. Does 17 divide p?
False
Let n be 1/2 + 6/4. Suppose n*v - 57 = -1. Does 19 divide v?
False
Suppose 0 = -10*z - z + 913. Is 7 a factor of z?
False
Suppose -4*a - 2*c + 0*c + 72 = 0, 3*c - 13 = -a. Does 19 divide a?
True
Let w(o) = -4*o**3 - 14*o**2 - 14*o + 12. Let c(z) = z**3 + z**2 + z. Let i(u) = 5*c(u) + w(u). Does 12 divide i(10)?
False
Suppose -260 = -4*v - 4*t, 165 = 2*v + 3*t + 39. Let n = -17 + v. Does 14 divide n?
False
Does 6 divide 54 - ((-2)/6 + (-35)/(-15))?
False
Let y be (-22 + 2)*1*-2. Suppose y = 4*w - 3*w. Is 14 a factor of w?
False
Suppose 4*p = u + p - 10, u - 5*p = 14. Let s = -2 + u. Suppose -s*k + 4 = 0, j - 3*k - 42 = -3*j. Is 6 a factor of j?
True
Suppose -22 = -s + 20. Does 14 divide s?
True
Suppose -212 = -4*z + 2*f, 3*f + 2*f + 152 = 3*z. Is 3 - (-5)/(15/z) a multiple of 4?
False
Let o = 33 + -14. Does 5 divide o?
False
Suppose -1 = -o + 2. Let n = 10 + -4. Let c = n - o. Is 3 a factor of c?
True
Let q be (-5 - (3 + -5)) + 8. Let y = q - 9. Is 26 a factor of ((-52)/(-3))/(y/(-6))?
True
Let u(h) = h + 33. Let y(d) = -1. Let a(j) = u(j) - 3*y(j). Is 10 a factor of a(0)?
False
Suppose 2*c - k = -0*k + 16, -2*k + 18 = c. Suppose -4*a = a - c. Is a even?
True
Let o(g) = 3*g**2 + 8*g + 4. Let s be o(-7). Let p = -61 + s. Is 17 a factor of p?
True
Let j be 2/(-6)*-3 - -8. Let l be 1*(2 + -2)/2. Suppose l*x = 3*x - j. Is 3 a factor of x?
True
Suppose -o - 6 = -106. Does 8 divide 1/3 + o/6?
False
Let u(j) be the first derivative of j**4/4 - 2*j**3/3 - j**2 - j + 2. Let c be u(3). Suppose c*w = 13 + 3. Is w a multiple of 8?
True
Let a be -1 - (-3)/((-9)/(-30)). Suppose -2*m = -43 - a. Suppose -2*d + m = -0*d. Does 5 divide d?
False
Let p(v) = 3*v**2 - 6*v - 1. Is p(-7) a multiple of 47?
True
Let i(c) = c**3 - 7*c**2 - 1. Let v be i(7). Let d(r) = 24*r**2 + r + 1. Does 20 divide d(v)?
False
Let k(j) = 5*j + 5. Let d be k(6). Suppose -d = -3*p - 2*b + b, 0 = 3*b - 6. Is p a multiple of 9?
False
Let f(o) = -2*o**3 - o**2 + o - 1. Is 3 a factor of f(-2)?
True
Let z(f) = -f**3 - 4*f**2 - 2*f + 4. Let c = 8 + -12. Is z(c) a multiple of 4?
True
Let r(d) = -10*d. Is 5 a factor of r(-1)?
True
Let c = -6 - -10. Does 4 divide c?
True
Suppose 2*v + 3*v - 20 = -4*h, -2*h + 22 = 4*v. Let q(k) = 4*k - 2. Is q(v) a multiple of 10?
True
Suppose 0*k + 3*k + 57 = 0. Let s = -3 - k. Does 8 divide s?
True
Let r = -12 - -21. Is 15 a factor of (-266)/(-18) - (-2)/r?
True
Let s(p) be the first derivative of 2*p**3/3 + 7*p**2/2 + 2*p + 1. Let q be s(-5). Let l = q - -8. Is 9 a factor of l?
False
Let n(d) = 5*d**2 + 2*d. Let k be (-10)/3 - (-3)/9. Does 13 divide n(k)?
True
Suppose -3*w = -4*w + 140. Is w a multiple of 26?
False
Let n = 110 - -46. Does 26 divide n?
True
Let t(z) = -z**3 + z**2 - z + 4. Let h be t(0). Suppose 4*p - 3 = h*c - 59, -5*c + 38 = 3*p. Does 10 divide c?
True
Let m(y) = -2*y**2 + 33*y + 13. Let t be m(17). Suppose 0 = -2*i - 8 + 56. Is 3 a factor of 66/i - 1/t?
True
Let g be 0 - (7 + 3/(-3)). Let s = g - -9. Suppose -h - s = -0*h, 0 = -2*f - 4*h + 92. Is 18 a factor of f?
False
Let c(i) = i**2 + i + 2. Let p be c(0). Let r be p/5 + (-66)/(-10). Suppose 3*g - 5 = r. Is 3 a factor of g?
False
Let r(k) = 6*k**3 + 4*k**2 - 5*k + 3. Let p(d) = -5*d**3 - 3*d**2 + 5*d - 3. Let t(w) = -5*p(w) - 4*r(w). Let f be t(3). Let y = 1 + f. Is y a multiple of 3?
False
Is 24*(1/(-2) + 95/20) a multiple of 7?
False
Suppose -3*g - 1 = -94. Is g a multiple of 10?
False
Suppose -1 = -h + 1. Suppose 6*w - h*w + 4*j = 84, -2*w - 5*j + 48 = 0. Does 19 divide w?
True
Let l(f) = f**3 - 5*f**2 - 3*f - 4. Suppose 0 = -7*j + 2*j - b + 55, 3*b + 15 = 0. Let x be 32/6 - j/(-18). Is l(x) a multiple of 5?
False
Let u(n) = 7*n - 10. Let m be u(8). Suppose 4*k = m + 14. Does 13 divide k?
False
Let d(c) be the third derivative of c**5/12 - c**3/3 + 5*c**2. Is d(3) a multiple of 10?
False
Let s be ((-2)/2)/((-2)/196). Suppose 2*b + 2*j + 2*j - 176 = 0, -4*j + s = b. Suppose b = 3*q + 6. Is 12 a factor of q?
True
Suppose -2 = -0*v - v. Suppose -3*c + v*c + f = -20, -5*f - 40 = -2*c. Does 4 divide c?
True
Let s(a) = a**2 + a - 4. Let j be s(-3). Suppose -65 = -3*z - j*z. Is z a multiple of 13?
True
Let g = 215 + -147. Suppose -2*v = -4*l + g, 3*l = -l - 5*v + 54. Does 8 divide l?
True
Let l be (8/14)/((-2)/(-7)). Let g(z) = 3*z**3 - 2*z**2 + 2*z - 1. Is 19 a factor of g(l)?
True
Suppose -16*r = -13*r - 834. Does 9 divide r/10 - (-8)/(-10)?
True
Suppose -5*a - 2*x + 96 = -13, 2*a - 3*x = 36. Does 5 divide a?
False
Let n be (-96)/(-15) + (-2)/5. Suppose t = 0, -2*t = -3*r - n*t + 39. Is 9 a factor of r?
False
Let p(n) = 2*n + 50. Is 14 a factor of p(0)?
False
Suppose 2*v + 0 = p + 2, -10 = 5*p - 5*v. Is 11 a factor of (-2 - p - -11)*3?
True
Suppose 0 = -5*j + 31 + 9. Let x(a) = -a**2 + 9*a + 9. Is x(j) a multiple of 5?
False
Let m(n) be the second derivative of 2*n + 1/6*n**3 + 0 + 7*n**2. Is 4 a factor of m(-6)?
True
Let q(l) = -l**2 - 8*l + 1. Let r be q(-8). Let j be 32 - -2*r/(-2). Suppose 2*a = 4*a + 3*f - j, 2*f = 2*a | {
"pile_set_name": "DM Mathematics"
} |
r. Give v(-4).
-3
Let h(n) be the third derivative of -n**5/30 + 7*n**4/24 - 5*n**3/6 + 3*n**2. Let g = -1 + 3. Suppose g*z - 5*z + 12 = 0. Calculate h(z).
-9
Let y(l) be the first derivative of l**2/2 + 5*l - 2. Let i be ((5 - 2)/3)/(1/(-6)). Give y(i).
-1
Let y(r) be the third derivative of -5*r**4/24 + 2*r**2. Let m be 1 + (-2 - (1 + -1)). Give y(m).
5
Let v(i) = i + 2. Let f(q) = -1. Suppose -8 = 3*a - 7*a. Let h(g) = a*v(g) - 2*f(g). Calculate h(-5).
-4
Let t be 4/6 + 38/6. Let j = 19 - t. Suppose 4*m - 4*s = -0*m + j, -4*s - 6 = -3*m. Let o(a) = a**3 - 6*a**2 - a + 7. What is o(m)?
1
Let h(c) = -12*c**3 - c**2 - 2*c - 1. Let l = 6 + -3. Suppose -2*y - l*y + 2*s = 3, -2*y + 3*s + 1 = 0. Determine h(y).
12
Let j(z) = 0*z**2 + 0*z**2 - z**3 - 1 - 4*z**2 - 4. Let w(k) = -2*k + 4. Let l be w(3). Let u be (3/l)/((-3)/(-8)). Calculate j(u).
-5
Let h(t) = 3*t - 2. Let o(r) = r + 7. Let q be o(-5). What is h(q)?
4
Let a be 1/3 - 5/(-3). Let u(r) = 2*r**2 - 2*r**a + 2*r**2. Let n = -1 + 2. What is u(n)?
2
Suppose -5*k + 2*m = 5*m - 10, 4*k = 2*m + 8. Let q(c) = c**3 - c**2 + 3*c - 3. Calculate q(k).
7
Let r(z) be the second derivative of -z**3/6 - z**2/2 + 6*z + 1. Let i be 1 + (-1)/(-2 - -1). Let c(o) = -3*o - 4. Let s(h) = i*r(h) - c(h). Determine s(-6).
-4
Let m(t) be the third derivative of -t**5/60 + 5*t**4/24 - t**3/6 + 15*t**2. What is m(3)?
5
Let z(o) = 818 - 823 - 2*o**2 - 8*o**2 + 9*o + o**3. Give z(9).
-5
Suppose -3*y + 18 = -6*y. Let q(c) = 7*c**2 + 4*c - 3. Let h(f) = 6*f**2 + 4*f - 3. Let g(d) = 6*h(d) - 5*q(d). What is g(y)?
9
Suppose 0 = -5*f + 4*w - 5, -4*w + w = 0. Let m(p) = 14*p - 4. Let a(r) = 5*r - 1. Let k(c) = -7*a(c) + 2*m(c). Calculate k(f).
6
Let r = -45 - -52. Let n(s) = s**3 - 7*s**2 - 3*s + 10. Determine n(r).
-11
Let v(b) = b**3 + 3*b**2 - 3*b + 3. Let x(o) = -o**3 - 2*o**2 + 2*o - 2. Let t(k) = -3*v(k) - 2*x(k). Give t(-6).
1
Let u = -28 + 28. Let n(c) be the second derivative of u - 1/12*c**4 + 1/3*c**3 + 2*c + c**2. Give n(4).
-6
Let s(c) = -c**2 + 8*c - 4. Let p(r) = 3*r**2 + 4*r + 3. Let h be p(-2). What is s(h)?
3
Let o(t) = -7*t + 0 - 1 + t. Let h(g) = -g**3 - 9*g**2 - 9*g - 9. Let d be h(-8). Calculate o(d).
5
Let s(h) = 7*h + 4. Let a(z) = -4*z - 2. Let g(n) = -11*a(n) - 6*s(n). Give g(5).
8
Let j(f) = -7*f - 1. Let n(h) = 11*h - 5. Let m(o) = 5*o - 2. Let g(w) = 5*m(w) - 2*n(w). Let y(d) = -5*g(d) - 2*j(d). Determine y(-2).
4
Let y = 11 - 7. Suppose y*p + 0*l = 2*l + 6, -5*l = p - 18. Let s(f) = -p*f**3 + 6*f - 2*f**3 + 0 + 6*f**3 - 6*f**2 + 6. Give s(5).
11
Let h(y) = -y**2 - 2*y + 20. Let x be h(-6). Let r(z) = z + 8. Determine r(x).
4
Let w = 5 + 1. Let p(n) = -n**3 + 5*n**2 + 6*n + 4. Let i be p(w). Let l(y) = 2 + 11*y - i*y - 4 + 4*y**2 - y**3. What is l(5)?
8
Suppose -3*p + l - 3 = 4, -14 = 5*p - 4*l. Let n(w) = -2*w - 1. Calculate n(p).
3
Let x(t) be the second derivative of t**4/6 + t**3/6 + 7*t**2/2 - 3*t. Let j(z) be the first derivative of x(z). Give j(3).
13
Suppose 4*p - 8 - 48 = 0. Let l = -10 + p. Let z(y) = 0*y + l*y - 3*y - 2*y + 1. Determine z(5).
-4
Let m(n) be the second derivative of n**3/6 + n. Let s = -11 - -9. Calculate m(s).
-2
Let h = 104 + -110. Let m(a) = -a**3 - 7*a**2 - 5*a. Give m(h).
-6
Suppose -4*f + 2 = -3*f. Let d be (15 - 1)*(-1)/(-2). Suppose 4*z - 13 = p, p = -z + f*z - d. Let j(w) = -w**2 - 5*w + 7. What is j(p)?
7
Let o(v) = 1 - 6*v + 8*v + 7*v. What is o(-1)?
-8
Suppose -5*k + 4 = 14. Let s(p) = 8*p + 1. Let w(u) = u. Let i(f) = k*s(f) + 14*w(f). Give i(-3).
4
Let o(d) = -4*d**2 - d - 1. Let a be o(-1). Let r = a + 6. Let g(u) = u**3 - u**2 - 2. Give g(r).
2
Let o = -12 + 17. Let z(i) = i - 3. Let v be z(o). Suppose -7*l = -v*l + 15. Let c(b) = b - 1. Calculate c(l).
-4
Let l(a) be the second derivative of a**6/360 + a**5/120 - a**4/24 + a**3/2 + 3*a. Let m(v) be the second derivative of l(v). Determine m(2).
5
Let h be (2 - 2)/(2 + -1). Suppose h = -2*c + c - 5. Let a(y) be the second derivative of -y**3/6 + 3*y**2/2 - y. What is a(c)?
8
Let c(r) = -r + 3. Let f be (1/((-2)/4))/(-1). What is c(f)?
1
Let v be (-3 - -3 - -2)*-1. Let n(s) be the second derivative of -s**4/6 + s**3/6 + s. Determine n(v).
-10
Let m(r) = r**2 + 8. Let a be (-11)/(-5) - (-1)/(-5). Suppose -6 = -3*j - 0. Let n = j - a. Determine m(n).
8
Suppose -3*x - 4*f = -7, -5*x - 8 = 2*f - 1. Let q(a) = -4. Let j(u) = -u - 1 + 0 + 6. Let v(i) = x*j(i) - 4*q(i). Calculate v(2).
7
Let c = 25 - 17. Suppose c = b + 3*b. Let h = -5 + b. Let o(m) = -m**2 - 5*m - 1. Give o(h).
5
Let y be ((-4)/(-6))/(2*(-2)/(-6)). Let o be 8/(-6)*(-6)/4. Let l(h) = 0*h**o + 0*h**2 - 3*h**2. Calculate l(y).
-3
Suppose -4*r + 12 = 3*d + d, 0 = 4*d + 3*r - 13. Let q(w) = -4 - 203*w + 110*w + 95*w. Calculate q(d).
4
Let c(g) be the third derivative of -g**6/120 - 7*g**5/60 - 5*g**4/24 + 5*g**2. What is c(-6)?
-6
Let u = -8 - -11. Let c be (-6)/(4/2)*-1. Let o(q) = 1 + 0 + q**3 + 4*q - 5*q**3 + 3*q**c. Determine o(u).
-14
Let v(c) be the first derivative of c**4/4 - 2*c**3/3 + c**2/2 - c - 1. Let r(n) = 6*n + 1. Let w be r(-1). Let u be (-6)/w*(-35)/(-14). What is v(u)?
11
Let g(y) be the first derivative of y**4/2 - 2*y**3/3 - 3*y**2/2 - 3*y + 13. Determine g(3).
24
Let f(t) = 6*t. Suppose -z = -1 - 0. Suppose z = 4*p - 5*n, 4*n = 2*p - 1 - 1. What is f(p)?
-6
Let m(y) = y**2 + 4*y - 6. Suppose 0*c - 25 = p + 5*c, 4*p = -2*c - 28. Let x be m(p). Let u(g) = 2*g**2 - g - 1. What is u(x)?
2
Let r(w) = -w**2 - 9*w - 8. Let j(i) = i + 15. Let h be j(-6). Suppose 2*m - v = -h, m - 7*v = -2*v + 18. Give r(m).
6
Let n = 6 - 11. Let w = n - -9. Let i(z) = z**3 - 9*z**2 + 3*z - 1. Let r(u) = u**3 - 10*u**2 + 3*u - 2. Let t(l) = 5*i(l) - 4*r(l). What is t(w)?
-1
Let m(j) be the third derivative of j**8/6720 - j**7/630 - 7*j**6/720 + j**5/30 - j**4/8 - 2*j**2. Let c(u) be the second derivative of m(u). Calculate c(5).
-6
Let n(d) = -d**3 - d. Let p be n(-1). Let v be (-4)/(-6)*3 - 0. Let o(s) = 6*s + v - 2*s - s + 0. Give o(p).
8
Let u(i) = -2*i + i - 1 + 2 + 4*i. Let t(p) = 4*p. Suppose -3*n = -2*n - 4. Let l(h) = n*t(h) - 5*u(h). Determine l(5).
0
Let y(m) = -m + 2. Let x = -9 + 6. Let n be (-3 - -1) + x + 2. Determine y(n).
5
Let j(w) = w**2 - w - 2. Suppose 4*f + 4 = 32. Let c be (f/14)/(2/(-8)). What is j(c)?
4
Let b(o) = o**3 - 4*o**2 - 7*o + 1. Let i(w) = 2*w**3 - 9*w**2 - 15*w + 3. Let t(k) = 5*b(k) - 2*i(k). Calculate t(4).
11
Let y(k) = -k**3 - 2*k**2 + k - 1. Let l be y(-2). Let o(n) = n**2 + 1. Calculate o(l).
10
Suppose -5*v - 48 = -v. Let l(z) = z**3 + 11*z**2 - 13*z - 9. Let r be l(v). Let h(i) = 2*i**2 - 4*i - 1. What is h(r)?
5
Let i(p) = p. Let w be i(-7). Let a(u) be the first derivative of -u**2/2 - 7*u - 4. Give a(w).
0
Let i(j) = j**2. Let t be (-3*1 - 0)*-2. Suppose 3*u = -0*u + 5*s + 24, t = 5*u + 3*s. Suppose -3*f + 9 = -3*g, -u*g + 4*f = -6*g - 2. Give i(g).
4
Let x(z) be the first derivative of z**2 + z + 4. Let w(o) = o**2 - 5*o - 7. Let a be w(5). Let d(f) = f**3 + 6*f**2 - 7*f - 1. Let s be d(a). Determine x(s).
-1
Let l(w) = -w**2 - 4*w + 5. Let a(j) = 2*j**2 + 5*j - 6. Let m(y) = -6*y**3 + y**2 + 2*y + 1. Let o be m(-1). Let c(s) = o*a(s) + 7*l(s). Determine c(1).
6
Let i(d) = d**3 + d**2 + 3*d + 3. Suppose 3*s + 2 = 2*s - 3*j, -3*j - 10 = 5*s. Give i(s).
-7
Suppose -y + 24 = 2*y. Let r be (y + -8)*(-2)/4. Let j(d) be the third derivative of -d**6/120 + d**5/60 - 5*d**3/6 + d**2. Give j(r).
-5
Let b(a) = -1. Let d(f) = -f - 1. Let i(n) = -5*b(n) + 2*d(n). Calculate i(5).
-7
Let l = -62 + 61. Let n(k) be the third derivative of -k**5/10 - k**3/6 + k**2. What is n(l)?
-7
Let z(i) = 2 - 4*i**2 + 4 - 2*i**2 + i - 7. Calculate z(1).
-6
Let j(b) = -5*b**3 + 3*b + 1. Let q(v) = -v**3 - v**2. Let c(y) = -j(y) + 4*q(y). Let i(f) = -4*f. Let n be i(-3). Let s = 16 - n. What is c(s)?
-13
Suppose 0 = 4*v + 9 - 21. Let k(g) = 13*g**3 - 7*g**2 + 3*g + 25. Let h = 4 + -6. Let m(y) = -3*y**3 + 2*y**2 - y - 6. Let q(z) = h*k(z) - 9*m(z). What is q(v)?
4
Suppose -3*h + 6 + 0 = 0. Let f(n) = n - 4 + 6 - 3 - h*n**2. What is f(1)?
-2
Let p(x) = -x**3 - x**2 + 3*x + 3. Let z = 7 - -1. Let t(u) = -u**3 + 8*u**2 - 3. Let r be t(z). Calculate p(r).
12
Let i(b) = 0*b + 12 - 10 - 4*b - b**2 + 4*b**2. Let a be i(2). Let z(s) = 2 + a | {
"pile_set_name": "DM Mathematics"
} |
2*u - 29
What is the b'th term of 345, 676, 993, 1290, 1561, 1800?
-b**3 - b**2 + 341*b + 6
What is the o'th term of 4127, 8271, 12425, 16595, 20787, 25007, 29261, 33555?
o**3 - o**2 + 4140*o - 13
What is the c'th term of 5085, 10171, 15257, 20343?
5086*c - 1
What is the f'th term of 15, 41, 107, 231, 431, 725?
3*f**3 + 2*f**2 - f + 11
What is the j'th term of -3402, -3401, -3400?
j - 3403
What is the r'th term of -248, -224, -188, -146, -104, -68?
-r**3 + 12*r**2 - 5*r - 254
What is the g'th term of -2988, -2982, -2976, -2970, -2964, -2958?
6*g - 2994
What is the f'th term of -52, -46, -18, 44, 152, 318?
2*f**3 - f**2 - 5*f - 48
What is the s'th term of 1356, 1348, 1340, 1332?
-8*s + 1364
What is the q'th term of -137, -164, -193, -224, -257, -292, -329?
-q**2 - 24*q - 112
What is the p'th term of 107, 127, 181, 287, 463, 727, 1097, 1591?
3*p**3 - p**2 + 2*p + 103
What is the n'th term of -113, -110, -107, -104, -101?
3*n - 116
What is the o'th term of 35, 70, 105, 140?
35*o
What is the p'th term of -41, -20, 5, 34, 67, 104, 145?
2*p**2 + 15*p - 58
What is the o'th term of 107, 115, 137, 179, 247, 347, 485?
o**3 + o**2 - 2*o + 107
What is the i'th term of 327, 2672, 9037, 21432, 41867, 72352, 114897, 171512?
335*i**3 - 8
What is the a'th term of -8, -28, -62, -110, -172?
-7*a**2 + a - 2
What is the x'th term of 6218, 6216, 6214, 6212, 6210?
-2*x + 6220
What is the o'th term of -10, -58, -124, -214, -334, -490, -688?
-o**3 - 3*o**2 - 32*o + 26
What is the z'th term of -65, -128, -181, -218, -233?
z**3 - z**2 - 67*z + 2
What is the z'th term of 40, 43, 46?
3*z + 37
What is the q'th term of -103, -122, -139, -154, -167, -178?
q**2 - 22*q - 82
What is the n'th term of 3773, 3751, 3715, 3665, 3601, 3523, 3431?
-7*n**2 - n + 3781
What is the x'th term of -25, -228, -779, -1852, -3621?
-29*x**3 + 4
What is the d'th term of 68, 100, 178, 326, 568?
4*d**3 - d**2 + 7*d + 58
What is the o'th term of 1720, 3439, 5158?
1719*o + 1
What is the h'th term of -27, -54, -79, -102, -123?
h**2 - 30*h + 2
What is the d'th term of -154, -653, -1494, -2677?
-171*d**2 + 14*d + 3
What is the g'th term of -56, -126, -196, -266?
-70*g + 14
What is the j'th term of -23789, -23787, -23783, -23777?
j**2 - j - 23789
What is the r'th term of -20, -51, -96, -149, -204, -255, -296?
r**3 - 13*r**2 + r - 9
What is the c'th term of -6, -4, 8, 36, 86, 164, 276?
c**3 - c**2 - 2*c - 4
What is the q'th term of -5, -18, -49, -104, -189, -310?
-q**3 - 3*q**2 + 3*q - 4
What is the f'th term of 6787, 6788, 6789, 6790, 6791, 6792?
f + 6786
What is the u'th term of 19, 8, 5, 16, 47, 104?
u**3 - 2*u**2 - 12*u + 32
What is the w'th term of -56, -132, -326, -698, -1308, -2216, -3482, -5166?
-10*w**3 + w**2 - 9*w - 38
What is the h'th term of 2, -7, -10, -1, 26, 77, 158?
h**3 - 3*h**2 - 7*h + 11
What is the j'th term of 84, 152, 220, 288, 356, 424?
68*j + 16
What is the d'th term of -8315, -8314, -8313, -8312, -8311?
d - 8316
What is the j'th term of -48, -99, -152, -207?
-j**2 - 48*j + 1
What is the g'th term of 2, 17, 32, 47, 62, 77?
15*g - 13
What is the f'th term of 28, -29, -86, -143, -200, -257?
-57*f + 85
What is the w'th term of 39, 49, 59, 69?
10*w + 29
What is the b'th term of 68, 37, 8, -19, -44, -67, -88?
b**2 - 34*b + 101
What is the f'th term of 105, 988, 3383, 8046, 15733?
126*f**3 + f - 22
What is the t'th term of -3286, -3285, -3284, -3283?
t - 3287
What is the v'th term of 41, 73, 111, 161, 229?
v**3 - 3*v**2 + 34*v + 9
What is the n'th term of 54, 87, 140, 213, 306?
10*n**2 + 3*n + 41
What is the t'th term of -98, -196, -292, -386?
t**2 - 101*t + 2
What is the r'th term of 14, 40, 92, 182, 322?
2*r**3 + r**2 + 9*r + 2
What is the z'th term of 33, 61, 89, 117, 145?
28*z + 5
What is the i'th term of -379, -1472, -3299, -5866, -9179?
-i**3 - 361*i**2 - 3*i - 14
What is the w'th term of -16, 0, 50, 140, 276, 464, 710, 1020?
w**3 + 11*w**2 - 24*w - 4
What is the l'th term of 337, 336, 335, 334?
-l + 338
What is the q'th term of -51, -88, -127, -168?
-q**2 - 34*q - 16
What is the m'th term of -2657, -2659, -2661?
-2*m - 2655
What is the r'th term of 5, -38, -81, -124?
-43*r + 48
What is the m'th term of 16, 30, 42, 52, 60, 66, 70?
-m**2 + 17*m
What is the r'th term of -21, -61, -127, -219?
-13*r**2 - r - 7
What is the f'th term of -8, -1, 30, 97, 212, 387?
2*f**3 - 7*f - 3
What is the q'th term of -372, -741, -1108, -1473, -1836?
q**2 - 372*q - 1
What is the p'th term of 27, 81, 157, 261, 399, 577, 801?
p**3 + 5*p**2 + 32*p - 11
What is the b'th term of -2122, -4246, -6370, -8494, -10618, -12742?
-2124*b + 2
What is the a'th term of 65, 75, 93, 119, 153?
4*a**2 - 2*a + 63
What is the m'th term of 6, -11, -62, -165, -338, -599?
-3*m**3 + m**2 + m + 7
What is the g'th term of -80, -161, -246, -335, -428?
-2*g**2 - 75*g - 3
What is the f'th term of 129, 260, 391?
131*f - 2
What is the s'th term of -888, -3559, -8010, -14241, -22252, -32043?
-890*s**2 - s + 3
What is the y'th term of 82, 310, 696, 1246, 1966, 2862, 3940?
y**3 + 73*y**2 + 2*y + 6
What is the y'th term of 21, 34, 43, 48?
-2*y**2 + 19*y + 4
What is the i'th term of 75, 148, 207, 246, 259?
-i**3 - i**2 + 83*i - 6
What is the i'th term of -74, -161, -270, -407, -578?
-i**3 - 5*i**2 - 65*i - 3
What is the n'th term of 45, 93, 141, 189, 237?
48*n - 3
What is the d'th term of 77, 91, 113, 143, 181?
4*d**2 + 2*d + 71
What is the h'th term of 3848, 7698, 11548, 15398?
3850*h - 2
What is the d'th term of -77, -73, -55, -17, 47, 143, 277, 455?
d**3 + d**2 - 6*d - 73
What is the i'th term of 46, 73, 110, 163, 238, 341, 478, 655?
i**3 - i**2 + 23*i + 23
What is the d'th term of -10875, -10877, -10879, -10881?
-2*d - 10873
What is the k'th term of 135, 554, 1253, 2232?
140*k**2 - k - 4
What is the c'th term of 401, 459, 623, 947, 1485, 2291?
9*c**3 - c**2 - 2*c + 395
What is the v'th term of 101, 194, 287, 380?
93*v + 8
What is the n'th term of 39, 285, 961, 2283, 4467, 7729?
36*n**3 - n**2 - 3*n + 7
What is the m'th term of -217, -440, -663, -886?
-223*m + 6
What is the p'th term of -10, -16, -20, -22?
p**2 - 9*p - 2
What is the b'th term of 92, 81, 66, 41, 0, -63?
-b**3 + 4*b**2 - 16*b + 105
What is the g'th term of 80, 333, 762, 1373, 2172, 3165?
g**3 + 82*g**2 - 3
What is the u'th term of -55, -80, -115, -160, -215?
-5*u**2 - 10*u - 40
What is the m'th term of -2874, -2873, -2872, -2871, -2870, -2869?
m - 2875
What is the h'th term of 3414, 6827, 10240, 13653, 17066?
3413*h + 1
What is the o'th term of -235, -242, -249, -256, -263, -270?
-7*o - 228
What is the s'th term of -660, -675, -700, -735, -780?
-5*s**2 - 655
What is the z'th term of 1223, 2438, 3649, 4856, 6059?
-2*z**2 + 1221*z + 4
What is the z'th term of -17, -167, -579, -1385, -2717, -4707, -7487, -11189?
-22*z**3 + z**2 + z + 3
What is the p'th term of -3738, -3736, -3734, -3732, -3730?
2*p - 3740
What is the f'th term of 14, 16, 20, 26, 34, 44, 56?
f**2 - f + 14
What is the k'th term of 14, 22, 36, 56?
3*k**2 - k + 12
What is the b'th term of -21, 27, 113, 243, 423, 659, 957, 1323?
b**3 + 13*b**2 + 2*b - 37
What is the l'th term of 24, 60, 114, 192, 300, 444?
l**3 + 3*l**2 + 20*l
What is the j'th term of 21, 19, 17, 15, 13?
-2*j + 23
What is the u'th term of -353, -1541, -3515, -6269, -9797?
u**3 - 399*u**2 + 2*u + 43
What is the k'th term of 3, 31, 75, 135, 211?
8*k**2 + 4*k - 9
What is the a'th term of -16, -8, 6, 26, 52, 84?
3*a**2 - a - 18
What is the w'th term of -118, -116, -114, -112, -110?
2*w - 120
What is the w'th term of -50, -64, -70, -68, -58?
4*w**2 - 26*w - 28
What is the d'th term of -596, -595, -594?
d - 597
What is the o'th term of -25, -117, -367, -853, -1653, -2845, -4507?
-13*o**3 - o**2 + 2*o - 13
What is the g'th term of 2, 37, 108, 215, 358, 537, 752?
18*g**2 - 19*g + 3
What is the m'th term of 35, 54, 77, 104, 135, 170, 209?
2*m**2 + 13*m + 20
What is the z'th term of 31, 196, 639, 1498, 2911, 5016, 7951, 11854?
23*z**3 + z**2 + z + 6
What is the o'th term of 1223, 1219, 1215, 1211, 1207, 1203?
-4*o + 1227
What is the v'th term of -39, -48, -73, -120, -195, -304, -453, -648?
-v**3 - 2*v**2 + 4*v - 40
What is the s'th term of 82, 116, 172, 262, 398?
2*s**3 - s**2 + 23*s + 58
What is the i'th term of 467, 497, 527?
30*i + 437
What is the | {
"pile_set_name": "DM Mathematics"
} |
f f and 2202.
6
Suppose -13*q + 5*q = 0. Let r(c) = -9*c + 1. Let y be r(q). Suppose 3*w - 5*u = -0*u + 9, -4*u = w - 20. What is the greatest common divisor of w and y?
1
Suppose 0 = n + 6, -4*n = -226*a + 225*a + 776. What is the greatest common factor of 20 and a?
4
Let x be 326/4 - 1/(-2). Suppose 0*m + 4*t + x = 3*m, t + 118 = 4*m. Calculate the greatest common divisor of m and 285.
15
Suppose 4 = -4*f, -2*r + 5*f = -0*r - 5. Let n = r + 9. Let j(u) = u + 23. Let o be j(22). What is the highest common factor of o and n?
9
Let f(z) = 14*z + 1 + 11 + 21*z**2 + 11*z + 2*z - z**3. Let b be f(22). What is the greatest common factor of b and 61?
61
Suppose 6*t + 42 = 0, -7823 = -2*z - 0*z - 3*t. Calculate the greatest common divisor of z and 742.
106
Let r = 476 + -474. Let f be ((10 - 9)*(20 + -2))/r. Let t(j) = j**2 - 5*j + 3. Let s be t(5). What is the greatest common factor of s and f?
3
Let h(z) = 19*z**2 - 35*z + 109. Let x be h(10). Let v = x - 1002. What is the greatest common factor of 9 and v?
9
Let g(t) = 13*t**2 - 3*t - 228. Let v be g(-8). Calculate the greatest common factor of 7065 and v.
157
Let t(r) = -642*r + 354. Let a be t(-1). What is the greatest common factor of 36 and a?
12
Suppose -113 = -a - 2*x, 14*a - 11*a = -2*x + 355. Let l = 202 - a. Calculate the highest common factor of 9 and l.
9
Let w be 2 + 17 - (-37 + 46). What is the greatest common divisor of 4485 and w?
5
Suppose -5*h - 225 = -5*r, -r - h = 139 - 176. Suppose -l - 164 = -3*l. Calculate the greatest common divisor of r and l.
41
Let j(v) = -3*v**2 + 49*v + 21. Let p be j(16). Suppose -p*o + 1129 = -2497. Calculate the greatest common factor of o and 14.
14
Let a be (3/1)/(19*27/8208). Calculate the greatest common divisor of 7392 and a.
48
Let z be ((-28)/4)/(189/(-1863)). Calculate the highest common divisor of z and 115.
23
Suppose 6*f = f - 700. Let l = 212 + f. Let q be 3/(-27)*-6*12. Calculate the greatest common factor of l and q.
8
Let y(m) = -2*m + 6. Let g be (-6)/(-8) + (-16)/(-64). Let a be y(g). Calculate the greatest common factor of a and 124.
4
Let v be (6/((-6)/(-3)))/((-33)/(-286)). Let z be 9/(-5)*(-12740)/147. What is the highest common divisor of v and z?
26
Let d = -3420 + 6735. Suppose d = -50*i + 10915. What is the greatest common divisor of i and 40?
8
Suppose 4324*m = 4247*m + 17864. Let f = -9 + 17. Calculate the greatest common factor of f and m.
8
Let h(b) = 2508*b - 102432. Let y be h(41). Let o(j) = 5*j + 6. Let m be o(6). What is the greatest common divisor of y and m?
36
Let g be 7/(-1*91/(-12454)). What is the highest common factor of g and 2?
2
Let p be (395160/36)/37 + (-3)/(-9). Calculate the highest common divisor of p and 6.
3
Let r be 16/(((-308)/5782)/(-11)). Calculate the highest common divisor of 56 and r.
56
Suppose 150*o - 1146 - 1144 = -790. What is the greatest common factor of o and 20?
10
Suppose -9*h = -159 - 57. Suppose 0 = -8*q + 777 + 183. What is the greatest common factor of h and q?
24
Let t be 89 + -77 + 6/(-1) - -2084. Calculate the greatest common factor of 2310 and t.
110
Suppose -44*r + 3888 + 512 = 0. What is the greatest common factor of 800 and r?
100
Let x be 14/(-8)*(-116)/(-406)*98*-2. Calculate the greatest common factor of 34 and x.
2
Let j(g) = -2*g. Let z(s) = 25*s - 1. Let l(d) = -22*j(d) - 2*z(d). Let r = 618 + -619. Let p be l(r). Calculate the highest common factor of p and 88.
8
Let w be -11 + 2610 + (-1 - -13). Calculate the greatest common factor of w and 7.
7
Let l be (-78)/(-9)*(-99)/(-6). Let d = 257 + -224. Calculate the highest common divisor of d and l.
11
Let l(z) = -200*z**2 + 2605*z + 5. Let o be l(13). Calculate the highest common factor of o and 4270.
70
Let l(m) = -5*m**2 - 25*m + 3. Let c be l(-4). Let j = c + 17. Suppose 0 = 5*a + 5*z - 120, -3*z = 3*a - a - 52. What is the highest common factor of j and a?
20
Suppose -418 = 74*k - 93*k. What is the greatest common factor of k and 14894?
22
Let h = -413 - -429. Let q(u) = -2*u**2 + 29*u + 88. Let g be q(h). Calculate the greatest common divisor of g and 56.
8
Let n be ((-1452)/(-88))/((-2)/20). Let j = -126 - n. What is the greatest common divisor of 65 and j?
13
Suppose 5*c = 5 + 55. Let s(k) = -12*k**2 + 128*k + 16. Let m be s(7). Calculate the greatest common divisor of m and c.
12
Let o = -113 - -117. Suppose -5*w + 14 + 1 = -4*f, -o*f = 4*w - 12. What is the highest common divisor of w and 12?
3
Let k(l) = -2*l**2 - 65*l - 64. Let m be k(-28). Calculate the greatest common factor of m and 799.
47
Let c be 2698 - (19 + -6 + -16). Calculate the highest common factor of c and 333.
37
Let q = -702 + 1197. Calculate the highest common factor of 253 and q.
11
Let b be 18/(-2)*(15/(-20))/((-117)/(-156)). Calculate the highest common divisor of 801 and b.
9
Suppose -3*v = -2*j - 900, 0 = 10*v - 9*v + 3*j - 322. Calculate the highest common factor of 437 and v.
19
Suppose -r = -5*h - 12, 0 = 3*h + 4*r - 7*r. Let y be 76/(-1 - h) - 2. What is the highest common factor of 8 and y?
4
Let t = 7195 - 6784. What is the highest common factor of 3 and t?
3
Let h be 4 + (-9 + 42/4)*(-1506)/(-9). Suppose -5*a - 2*l = -l - 145, 2*l + 10 = 0. Calculate the highest common divisor of a and h.
15
Let j(w) = w**3 + 7*w**2 - 5*w + 6. Let t be j(-7). Let k = -3756 + 4945. Calculate the highest common factor of k and t.
41
Let p be (10 + -50)/(-10) - -568. What is the greatest common divisor of p and 528?
44
Let v = 2689 - 2424. Calculate the greatest common factor of 371 and v.
53
Let x(p) = p**3 + 5*p**2 - 9*p - 5. Let a be x(-6). Suppose 10*c - a*c = -15. Suppose c*d - d = 156. Calculate the greatest common factor of 13 and d.
13
Let k(u) = 3*u - 35. Let a(c) = 7*c - 69. Let d(r) = 4*a(r) - 7*k(r). Let b be d(5). Suppose 2*h = 63 - 7. What is the greatest common divisor of h and b?
4
Let d = -8041 + 8061. What is the greatest common divisor of d and 1375?
5
Let n(u) = 41*u**2 + 15*u + 26. Let m be n(10). Suppose -6*q = -m + 1066. Calculate the greatest common factor of q and 5.
5
Suppose -13*q + 12*q = -0*q - 512. What is the greatest common factor of q and 576?
64
Let t(y) = -y**2 + 42. Let i(u) = -2*u**2 - 2*u + 85. Let p(k) = 2*i(k) - 5*t(k). Let n be p(9). What is the greatest common divisor of n and 145?
5
Suppose 3*q - 5*v = 20, 5*q - 3*q + v = 22. Suppose 0 = h - 150 + 52. Suppose -3*x + h = -q. What is the greatest common divisor of 90 and x?
18
Let i = -1298 + 2013. Suppose -153 = 12*r - 374 - 439. What is the greatest common factor of r and i?
55
Let j = -40 + 400. Suppose -7*z = -13*z + j. What is the greatest common divisor of 20 and z?
20
Let y = -9684 + 19733. What is the greatest common divisor of 52 and y?
13
Suppose -4*o - 5*k - 43 = -721, 844 = 5*o + 8*k. What is the greatest common divisor of o and 301?
43
Let i = 816 + -513. Let y = -285 + i. Suppose 2*v + 0*v - 324 = 4*h, -5*v + 3*h + 810 = 0. Calculate the greatest common divisor of v and y.
18
Let u = -2 - -22. Let r(h) = -13*h + 5. Let w be r(0). What is the greatest common divisor of w and u?
5
Let u = 9310 - 7384. What is the highest common divisor of u and 9?
9
Let c = -12496 + 12553. Calculate the highest common factor of 3648 and c.
57
Let q = 7 + -1. Let o be 1 - (-2)/(q/3)*1. Suppose 0 = -3*n + 2*i + 7, o*i = 4*n - 7 - 5. What is the highest common divisor of n and 40?
5
Let j be -12*(5 + (-8)/(-24) + -9). What is the highest common divisor of j and 638?
22
Let z(r) = r**2 + 2*r - 6. Suppose -5*j + h - 20 = -0*j, 0 = -3*h - 15. Let p be z(j). Let v = -97 + 142. What is the greatest common divisor of p and v?
9
Let m be (((-108702)/(-135))/(-22))/(2/(-10)) + 9. Calculate the highest common factor of 13120 and m.
64
Let z = 261 - 258. Let v = 24 - 5. Suppose v = z*g - 113. Calculate the highest common divisor of g and 33.
11
Let l(m) = -m**2 - 44*m - 44. Let v be (-20)/4*-1*168/(-20). Let k be l(v). What is the greatest common divisor of 16 and k?
8
Let d be -3*(4/(-1) - (-1 - 2)). Suppose -r = -d, -7*r = -3*t - 10*r + 519. Suppose 0 = 3*c - t - 28. Calculate the greatest common factor of 22 and c.
22
Suppose 128*y - 129*y + 325 = 0. Let t be 16/(-152) + y/19. Calculate the greatest common divisor of 85 and t.
17
Suppose -324*m = -327*m + 741. Suppose 3 | {
"pile_set_name": "DM Mathematics"
} |
is t rounded to three decimal places?
-0.018
Let d = -43.308 + 28.52. Let c = d - -14.8. Round c to two decimal places.
0.01
Let j = -3565 - -3565.000004855. What is j rounded to seven dps?
0.0000049
Let c = -7.1019 + 7.0984463. What is c rounded to 3 decimal places?
-0.003
Let r = -59.61649 - -1.40349. Round r to one decimal place.
-58.2
Let o = 24 + -55. Let a = -17 - o. Let q = 17.3 - a. What is q rounded to the nearest integer?
3
Suppose 4*n + 4*m = -217920, -4*n = -6*m + 11*m + 217921. Let i = n - -103179. What is i rounded to the nearest 10000?
50000
Let b = -250 + 144. Let d = b - -59. Let p = -47.0000027 - d. Round p to six decimal places.
-0.000003
Let o = -1826647.00364 - -1826736. Let f = o - 89. What is f rounded to four dps?
-0.0036
Let r = -0.651 - 0.059. Let y = -13.41 - r. Let b = 12.7000163 + y. What is b rounded to five dps?
0.00002
Let d = -14698 + 14698.1183. What is d rounded to 2 decimal places?
0.12
Let j = 1418 - 1417.98745. What is j rounded to 3 decimal places?
0.013
Let m = -1.977615975 + 1.9776. Round m to 7 decimal places.
-0.000016
Let d = -27837.04002 - -27837. Round d to four decimal places.
-0.04
Let z = -65166.000148292 - -65166. What is z rounded to five decimal places?
-0.00015
Let a = -382679929 + 382679900.99999992. Let s = -67 - -39. Let p = s - a. Round p to 7 dps.
0.0000001
Let t(g) = 170 + 193 + 20*g - 321. Let x be t(9). Round x to the nearest one hundred.
200
Let s = -5916.964 - -5928. Let c = -11.2 + s. What is c rounded to two decimal places?
-0.16
Let o = -18.64 + 18.64013198. What is o rounded to five dps?
0.00013
Let o = 1736.6661 + 0.3339. Let w = -1968.7 + o. What is w rounded to the nearest ten?
-230
Let n = 1274.2442 + -0.2442. Let z = 1157.8 - n. Round z to the nearest ten.
-120
Let v = 97485 + -97485.41137. Round v to two decimal places.
-0.41
Let h(g) = -6624596*g**3 - 2*g**2 - 3*g - 5. Let y be h(-2). Let p = -90796761 + y. What is p rounded to the nearest one million?
-38000000
Let a = 12070.0000102395 - 12070. What is a rounded to seven dps?
0.0000102
Let s = 14797 + -24457.7. Round s to the nearest one thousand.
-10000
Let b = -1327.999996914 - -1328. Round b to seven decimal places.
0.0000031
Let l = 10952.57 - 10934.27987. Let a = -0.08187 - l. Let s = -0.028 + a. What is s rounded to zero decimal places?
-18
Let v = 11928019 - 21812519. Round v to the nearest one million.
-10000000
Let a = -62.7551 - 1.0349. Let b = a + 69.5. Round b to zero decimal places.
6
Let t = -21583957 - -21584095.099357. Let r = t + -138.1. What is r rounded to five decimal places?
-0.00064
Let h = -301.3 - -306.19. Round h to 0 decimal places.
5
Let s = -1.1242 - -0.666. Round s to 1 dp.
-0.5
Let k = 32.896 + -32.5. Let z = k + -0.3959358. What is z rounded to five decimal places?
0.00006
Let a = 3067 - 3067.000000056. Round a to seven decimal places.
-0.0000001
Suppose 5*p - 1164179 = 4*b, 0 = 66*p - 71*p - b + 1164174. Let o = -399135 + p. What is o rounded to the nearest ten thousand?
-170000
Let h = 7678 - 7700.315. Let y = h - -0.215. What is y rounded to the nearest integer?
-22
Let p = -0.0063 + 263.0063. Let d = p + -262.9999836. What is d rounded to 6 dps?
0.000016
Suppose 38*p - 110 = 33*p. Suppose -25*l + p*l = -6. Suppose 4*z - 3*a - 36791 = 0, 6*a - l*a - 46012 = -5*z. Round z to the nearest 1000.
9000
Let q = -3944.70476 - -3945. What is q rounded to one decimal place?
0.3
Let q = -246.32 + 246.31978342. What is q rounded to 5 dps?
-0.00022
Let s = 1616234.50999979 + -1616234. Let x = -306.51 + 306. Let m = s + x. What is m rounded to seven dps?
-0.0000002
Let l be (17 - 9) + 53*-23. Let q = -2276 - l. Round q to the nearest 100.
-1100
Let l = -35458.5139 + 35457. Let n = -13.7999 - l. Let z = 12.4 + n. What is z rounded to two decimal places?
0.11
Suppose -385561 = -2*n - 4*i + 1515, -4*n - 2*i + 774158 = 0. Round n to the nearest 1000.
194000
Let b(a) = 130*a**2 + 194*a**2 - 75*a**2 - 21*a + 4. Let n be b(-3). Round n to the nearest 100.
2300
Let z = 38.048 - 1830.148. What is z rounded to the nearest one hundred?
-1800
Let q = -42020.93324 + 41956.6. Let a = -54.933083 - q. Let x = a + -9.4. What is x rounded to four dps?
0.0002
Let c = -7622.61 + 7060. What is c rounded to the nearest integer?
-563
Let m = -21721 - -21725.3316. Let d = m - 4.36. Round d to two decimal places.
-0.03
Let o = -35974.00000075 + 35974. What is o rounded to 4 dps?
0
Let f = -35676657.42000046 - -35676616.42. Let v = 41 + f. What is v rounded to 7 dps?
-0.0000005
Let f = 535.9843 + 0.1157. Let s = 534 - f. Round s to 1 decimal place.
-2.1
Let w = -0.077617 - -43.694617. Round w to the nearest 10.
40
Let i = 1.2201 + -0.3301. What is i rounded to the nearest integer?
1
Let y = -683 + 757.6. Let r = y - 80. Let w = r + 5.400124. Round w to 5 dps.
0.00012
Let a = 13819 + -13829.095. What is a rounded to one decimal place?
-10.1
Let i(p) be the third derivative of 0*p + 10/3*p**3 + 0 - 95/12*p**4 + p**2. Let o be i(18). Round o to the nearest one thousand.
-3000
Suppose 409378 = 4*p - 789174. Let v be (-21)/((-4389)/33573364) - (-6)/(-57). Let h = v - p. Round h to the nearest ten thousand.
-140000
Let d = -11.1 - -15. Let x = d + -18.9. Let h = 8.8 + x. What is h rounded to the nearest integer?
-6
Let y = 25328 - 25333.2638. Round y to zero decimal places.
-5
Let l = -85994 - -513925. Suppose u - l = 1198069. Round u to the nearest 100000.
1600000
Let c = 3449 - 1760. Let t = -1688.9999994499 + c. Round t to 7 dps.
0.0000006
Let x(v) = -2688895*v - 275. Let n be x(-45). Suppose -u + 21*u + n = 0. Round u to the nearest one million.
-6000000
Let u = -289.8995926 - -289.9. What is u rounded to five decimal places?
0.00041
Let h = 37456877178 + -37440493431.107. Let g = h - 16383793.892999785. Let c = g - -47. Round c to 7 decimal places.
0.0000002
Let o(w) = 57515*w**2 - 2*w - 9. Suppose -9 = -3*l + 30. Let d be o(l). Round d to the nearest 1000000.
10000000
Let p(v) = 611*v - 46. Let z be p(5). Suppose -1671600 = 3015*r - z*r. What is r rounded to the nearest 10000?
-280000
Let d = 12.248203 - -684.760807. Let a = 697 - d. Let j = -0.01 - a. Round j to four dps.
-0.001
Let n = -184.530629 + 184.54. What is n rounded to four dps?
0.0094
Let n = 174 + -207.8. Let w = 207.1 + -191. Let t = n + w. What is t rounded to 0 dps?
-18
Let f(r) = -76 - 70 - 3*r**2 - r**3 - 4*r + 145. Let j be f(-3). Suppose -128000 = c - j*c. Round c to the nearest 1000.
13000
Let g = -4513 + 2563. Let j = g - -1949.998747. What is j rounded to four decimal places?
-0.0013
Let c = -15.25 + 31. Let p = -0.25 - c. Let o = p + 15.999999. What is o rounded to six decimal places?
-0.000001
Let u = -20466 - -20465.999951956. What is u rounded to six dps?
-0.000048
Let b = 4236007 + -7174607. Round b to the nearest one million.
-3000000
Let n = 21 + -21.66. Let q = n - -0.6. Let l = 0.06038 + q. What is l rounded to 4 decimal places?
0.0004
Let g be (8/16 - (-79482)/60)/((-2)/(-500)). What is g rounded to the nearest ten thousand?
330000
Let v = 179 + -95. Let s = v + -129. Let r = s - -45.092. Round r to two decimal places.
0.09
Let f = -1769532 - -3750232. Round f to the nearest 10000.
1980000
Let p = -42.7 - -143.69. What is p rounded to the nearest 10?
100
Let r = 113.2 + -18.2. Let v = -109.68 + 204.95. Let d = r - v. Round d to one decimal place.
-0.3
Let u(w) = w**3 - 8*w**2 + 7*w - 1. Let z be u(7). Let l(f) = -1712 + 1712 - 152*f**2 - 2*f. Let c be l(z). What is c rounded to the nearest one hundred?
-200
Let j = 11042258 - 6476258. Round j to the nearest one million.
5000000
Let m = -23903 - -11198. Let s be m/75 - 6/10. Round s to the nearest ten.
-170
Let a = 690 + -1128. Let g = 462.62 + a. What is g rounded to the nearest integer?
25
Suppose 26*f + 4739509 = 21*f - 3*a, 0 = 5*f - a + 4739497. Round f to the nearest one hundred thousand.
-900000
Let m = 517.1 + -549. Let w = m - -32. Let r = 0.100092 - w. What is r rounded to 5 decimal places?
0.00009
Let m = 1030.682 + -1092.2. What is m rounded to zero decimal places?
-62
Let c = -9.2071 + 0.4541. Round c to one dp.
-8.8
Let z = -290454 + 1075654. What is z rounded to the nearest ten thousand?
790000
Let z = 857.6 - 18.6. Let m = -839.000000309 + z. Round m to seven dps.
-0.000000 | {
"pile_set_name": "DM Mathematics"
} |
w be ((-9)/m)/(1/(-10)). What is the first derivative of -4*i - 3 + 0 - w*i + i wrt i?
-8
Let q(z) be the second derivative of 17*z**5/120 + z**4/6 + 5*z**3/2 + z. Let j(k) be the second derivative of q(k). What is the derivative of j(m) wrt m?
17
What is the third derivative of 2*o + 0*o - 19*o**5 - 4*o - 15*o**2 + 39*o**5 + o wrt o?
1200*o**2
Let g(o) be the third derivative of 11*o**7/210 + o**6/60 - 2*o**5/3 + 50*o**2. Find the third derivative of g(f) wrt f.
264*f + 12
Let n(y) be the first derivative of 0*y**3 + 0*y**2 + 10 + 1/2*y**4 - 16*y. What is the first derivative of n(z) wrt z?
6*z**2
Let m(g) be the first derivative of -52*g**5/5 - 71*g**2/2 + 2. What is the second derivative of m(d) wrt d?
-624*d**2
Let a be -1*(2 - -1) + 10. Let q(w) = -w**2 + 5*w. Let f be q(5). Find the third derivative of n**2 + f*n**2 - a*n**6 + 4*n**2 + n**6 wrt n.
-720*n**3
Let s(a) be the second derivative of -37*a**7/3 + 37*a**4/2 + a**3/3 - a - 159. Find the third derivative of s(d) wrt d.
-31080*d**2
Let o(u) = -u**2 - 5*u - 2. Let b be o(-3). What is the derivative of 5*w**b - 14 - 6*w**3 + w**3 + 3*w**4 + 5 wrt w?
32*w**3 - 15*w**2
Let u be 4 - (1 - (-1 - 0/(-3))). Differentiate u - 10 - 4 + 2*c**2 with respect to c.
4*c
Let x = -53 + 89. What is the third derivative of 5*v**2 + 12*v - 19*v - x*v**3 + 10*v wrt v?
-216
Let b(z) be the first derivative of 19*z**2 + 19*z - 64. Differentiate b(l) wrt l.
38
Let v(y) be the first derivative of -305*y**4/4 - y**3/3 + 53*y - 30. Find the third derivative of v(q) wrt q.
-1830
Let f(n) = 160*n - 52. Let x(d) = 79*d - 26. Let u(t) = 2*f(t) - 5*x(t). Find the first derivative of u(g) wrt g.
-75
Let z(g) = 117*g - 152. Let i(b) = -234*b + 304. Let x(r) = -6*i(r) - 13*z(r). What is the first derivative of x(f) wrt f?
-117
Let v(z) = -361*z**2 + 613*z + 30. Let g(q) = -180*q**2 + 306*q + 18. Let j(b) = 5*g(b) - 3*v(b). Find the second derivative of j(u) wrt u.
366
Find the second derivative of 39 - 39 + 143*o + 190*o**4 + 202*o**4 wrt o.
4704*o**2
What is the second derivative of 54*x**4 + 2*x - 25*x**4 + 36 - 31*x**4 + 8*x**3 wrt x?
-24*x**2 + 48*x
Let v(g) = -25. Let s(c) = -c + 5. Let f be s(8). Let l(u) = -u + 24. Let q(z) = f*l(z) - 2*v(z). What is the first derivative of q(x) wrt x?
3
Let d(q) be the first derivative of -q**2 - 2*q - 3. Let g be d(-3). Find the first derivative of -l**4 + 3 - g*l**4 + 4 wrt l.
-20*l**3
Suppose 27*o = 25*o + 4. What is the second derivative of 9*w**4 + 12*w + 2 + 2*w**4 - o wrt w?
132*w**2
Let a(d) be the second derivative of d**4/12 - d**3/3 + 185*d**2/2 + d - 3. Differentiate a(u) with respect to u.
2*u - 2
Let u be (-63)/(-28) - 2/8. Suppose u*q = s + 12, -5*q - 3*s + 24 = -q. What is the third derivative of -7*r**2 + 10*r**q + 19*r**5 - 19*r**5 wrt r?
1200*r**3
Let q(a) be the first derivative of -2*a**7/7 - 12*a**4 - 58*a**3/3 - a**2/2 + 834. What is the third derivative of q(f) wrt f?
-240*f**3 - 288
Let d(x) be the second derivative of 13*x**8/14 + x**7/21 - 6*x**4 + x**2/2 + x - 4. Find the third derivative of d(g) wrt g.
6240*g**3 + 120*g**2
Let b(h) be the third derivative of -17*h**7/14 + 287*h**4/24 + 201*h**2 + 2. Find the second derivative of b(d) wrt d.
-3060*d**2
Let j be 15/(-18)*-3*2. Find the third derivative of -10*f**j + 0*f**5 + 19*f**2 + 28*f**5 wrt f.
1080*f**2
Let h(f) = -25*f**2 + 15*f. Let x = 30 - 32. Let m(a) = 12*a**2 - 8*a. Let l(p) = x*h(p) - 5*m(p). What is the second derivative of l(u) wrt u?
-20
Let b = -214 - -216. Let q(v) be the first derivative of 1/3*v**3 + 0*v - 5 + 0*v**b - 5/6*v**6 + 0*v**4 + 0*v**5. Find the third derivative of q(o) wrt o.
-300*o**2
Let s(v) = -6*v**4 + 26*v**3 - 7*v**2 + 125. Let h(p) = -3*p**4 + 12*p**3 - 3*p**2 + 62. Let a(m) = 7*h(m) - 3*s(m). Differentiate a(c) wrt c.
-12*c**3 + 18*c**2
Let u = -49 - -148/3. Let l(p) be the second derivative of -3/2*p**2 - u*p**3 - 5*p + 0. What is the first derivative of l(f) wrt f?
-2
Suppose 3*k + 4*p - 63 = 6*p, 4*k - 77 = 5*p. What is the derivative of -14*z**3 + k*z**3 - 1 + 12 wrt z?
27*z**2
Suppose -39 = -5*h + 11. Suppose -h - 8 = s + 5*t, t = -3*s + 2. What is the third derivative of 0*x**2 - 5*x**4 - 2*x**2 + 3*x**4 - 7*x**s wrt x?
-48*x
Differentiate 381 + 3*m + 3*m - 956*m**3 - 5*m + 902*m**3 + m with respect to m.
-162*m**2 + 2
What is the second derivative of 146765 - 56*v + 8*v**2 - 146765 wrt v?
16
Suppose -p + 2*f = -4*p + 10, -10 = 4*p - 2*f. Let m(l) be the third derivative of 0 + 1/3*l**3 + 1/20*l**5 + p*l + l**2 + 0*l**4. Differentiate m(k) wrt k.
6*k
Let j(u) = 23*u - 153. Let o(a) = -13*a + 76. Let s(b) = 4*j(b) + 7*o(b). Differentiate s(z) with respect to z.
1
Let k(r) = 152*r**3 - 116*r**2 - 7. Let d(t) = -304*t**3 + 233*t**2 + 16. Let h(q) = 3*d(q) + 7*k(q). Find the third derivative of h(w) wrt w.
912
Find the third derivative of 313*o**2 + 429*o**4 + 83 - 426*o**4 - 81 wrt o.
72*o
Let l(w) be the second derivative of -w**5/10 - 281*w**3/3 - 315*w**2 + 46*w. Find the first derivative of l(f) wrt f.
-6*f**2 - 562
What is the first derivative of -9*o + 162 + 0*o + 3*o - 22*o wrt o?
-28
Let j = -302 - -302. Let g(v) be the second derivative of 2*v**2 + j - 2/3*v**3 + 2*v. Find the first derivative of g(m) wrt m.
-4
Suppose -5*m + 6 = -3*r + 2, -4*m + 2 = -3*r. What is the third derivative of -k**6 + 21*k**6 - 5*k**m - 2*k**6 - 6*k**2 wrt k?
2160*k**3
Suppose 3*z = 12, 4*t = -0*z + 2*z + 240. What is the first derivative of -5*a**4 + 14 - 62*a**2 + t*a**2 wrt a?
-20*a**3
What is the second derivative of 2*y + 38*y - 49 + 50 + 3*y - 659*y**3 + 35*y wrt y?
-3954*y
Let i(f) be the first derivative of -13 - 11 - 3 + 8*f**3 - 6*f**2. What is the second derivative of i(t) wrt t?
48
Let g(d) = d**3 + 3*d**2 - 4*d + 4. Suppose 20 = -5*m - 0*m. Let j be g(m). Differentiate -4 - 1 - k**4 - 4*k**4 + 2*k**j wrt k.
-12*k**3
Let j(m) = -141*m**2 + 2*m + 153. Let l(v) = -284*v**2 + 5*v + 307. Let p(n) = 10*j(n) - 4*l(n). Find the first derivative of p(i) wrt i.
-548*i
Let q(m) = -48*m + 580. Let z be q(12). Let k(w) = w**2 - 3*w - 3. Let o be k(5). Find the third derivative of 5*p**2 - o*p**2 - 3*p**z - p**2 wrt p.
-72*p
Let d = 29 - 20. Find the second derivative of d*m**2 - 17*m - 2*m + 5*m**2 wrt m.
28
Let b(w) = 3*w - 35. Let r be b(13). Differentiate -5 - 27*o**r - 1 - 7 + 4 wrt o.
-108*o**3
Let z(o) = -3*o**3 - 9*o + 2. Let u be z(-5). Find the second derivative of u*v**2 - 422*v**2 - 16*v - v - 13*v**3 wrt v.
-78*v
Let w(p) be the first derivative of 393*p**4/4 + 527*p**3/3 + 325. What is the third derivative of w(y) wrt y?
2358
What is the third derivative of -431*w**2 - 10*w**4 - 5*w**4 + 5*w**4 + 3*w**4 + 6*w**4 - 57*w**5 wrt w?
-3420*w**2 - 24*w
Let h(c) be the first derivative of -3*c**7/14 - 7*c**4/12 + 25*c - 31. Let y(a) be the first derivative of h(a). Find the third derivative of y(p) wrt p.
-540*p**2
Suppose 4*g = -5*s + 21, -2*g + 2*s + 0*s = -24. Let m = -6 + g. Differentiate -1 - 1 + 3*u**2 + m wrt u.
6*u
Let h(b) be the second derivative of 97*b**8/28 - 49*b**4/3 - 2*b - 99. What is the third derivative of h(l) wrt l?
23280*l**3
Let k(a) = -a**2 + 4*a - 2. Let z be k(6). Let x = 16 + z. Find the first derivative of -6*w - w - 4 + x*w + 0*w wrt w.
-5
Let l(d) be the third derivative of d**7/30 - d**4/6 - 23*d**3/3 - 13*d**2 - 4*d. What is the first derivative of l(z) wrt z?
28*z**3 - 4
Let i(l) be the first derivative of 0*l + 0*l**4 + 0*l**3 + 0*l**5 + 29 - 1/3*l**6 + 20*l**2. Find the second derivative of i(y) wrt y.
-40*y**3
Let x(p) = 3*p + 34. Let g be x(-9). What is the second derivative of -12*q - 21*q - 5*q - g*q**2 + 43*q**2 wrt q?
72
What is the third derivative of -2*o**2 + 15*o**3 - 2*o**3 - 15*o**3 - 5*o**4 - 18*o - 4*o**4 wrt o?
-216*o - 12
Let c(d) = 325*d**4 + 3*d**2 - 3*d + 98. Let h(l) = -649*l**4 - 5*l**2 + 5*l - 195. Let a(i) = -5*c(i) - 3*h(i). Find the first derivative of a(n) wrt n.
1288*n**3
Let i(b) be the third derivative of -1/60*b**6 - 21*b**2 + 0*b + 0*b**3 + 0 - 5/12*b**5 + 0*b**4. Find the third derivative of i(j) wrt j.
-12
What is the third derivative of 3*i**4 - 5*i**4 - 95*i**3 + 114*i**3 - 2*i**4 - 107*i**2 wrt i?
-96*i + 114
Find the second derivative of -92*a - 9*a**2 - 54*a**2 + 14*a**2 + 2*a**3 - 130*a | {
"pile_set_name": "DM Mathematics"
} |
10027, -15030, -20015, -24976, -29907, -34802?
-39655
What is the next term in 4557562, 4557560, 4557556, 4557550?
4557542
What is next in 534, 570, 614, 654, 678, 674?
630
What is the next term in -2419, -3965, -5513, -7063, -8615?
-10169
What comes next: -365, -175, 17, 211?
407
What is the next term in 95, 299, 575, 869, 1127, 1295, 1319, 1145?
719
What comes next: 127, 265, 405, 547, 691?
837
What comes next: 1482, 1410, 1342, 1278?
1218
What is the next term in 15453, 61833, 139133, 247353, 386493?
556553
What is the next term in -4468, -4467, -4472, -4489, -4524?
-4583
What is next in 22276, 22276, 22278, 22282, 22288, 22296?
22306
What comes next: -12265, -12266, -12267, -12268, -12269, -12270?
-12271
What comes next: -779, -803, -827?
-851
What is the next term in 19082, 19093, 19112, 19139, 19174?
19217
What is the next term in -2993, -5749, -8483, -11183, -13837, -16433, -18959?
-21403
What is next in -17926, -35845, -53760, -71671, -89578?
-107481
What comes next: 184, 147, 100, 43, -24, -101, -188?
-285
What comes next: -677, -2957, -6757, -12077, -18917, -27277, -37157?
-48557
What is next in 377448, 377446, 377444?
377442
What is the next term in -6607, -6669, -6829, -7135, -7635, -8377?
-9409
What is the next term in -31382, -31402, -31430, -31472, -31534?
-31622
What is next in -9, 159, 623, 1533, 3039, 5291?
8439
What is the next term in -2895, -2830, -2719, -2556, -2335, -2050, -1695?
-1264
What comes next: 40276, 80548, 120822, 161098, 201376?
241656
What is next in 16, -1, 0, 19?
56
What is the next term in 3417317, 6834631, 10251945?
13669259
What comes next: -368, -727, -1096, -1475, -1864?
-2263
What comes next: -8618, -8581, -8544, -8507, -8470?
-8433
What is the next term in 5990, 12554, 19118, 25682, 32246?
38810
What is next in -350, -675, -1000, -1325, -1650, -1975?
-2300
What is the next term in -1374, -5523, -12438, -22119, -34566, -49779, -67758?
-88503
What comes next: 674886, 1349771, 2024656, 2699541?
3374426
What is the next term in 3844, 3482, 3118, 2752?
2384
What is next in 99, 75, -79, -363, -777, -1321?
-1995
What comes next: -1163, -2321, -3479?
-4637
What comes next: -97, -370, -815, -1432, -2221?
-3182
What is next in 54643, 54632, 54623, 54616, 54611, 54608?
54607
What is the next term in 4370, 17494, 39368, 69986, 109342, 157430?
214244
What comes next: -5060, -10106, -15152, -20198?
-25244
What is next in 1599, 1588, 1577?
1566
What comes next: 2824, 2822, 2812, 2794, 2768?
2734
What is the next term in -126829, -253653, -380477, -507301?
-634125
What is the next term in 112, 106, 100?
94
What is next in 22502, 22441, 22342, 22187, 21958, 21637, 21206, 20647?
19942
What is the next term in -10, -43, -112, -217, -358, -535, -748?
-997
What is the next term in -6191, -6308, -6425, -6542, -6659, -6776?
-6893
What is next in 2286, 2266, 2246?
2226
What comes next: 33333, 66779, 100225, 133671?
167117
What comes next: -1982, -1964, -1932, -1880, -1802?
-1692
What is the next term in 24235, 48476, 72717, 96958, 121199, 145440?
169681
What is next in -418, -392, -366, -340, -314?
-288
What comes next: 6812, 13633, 20458, 27287, 34120, 40957, 47798?
54643
What is next in -86, -609, -1480, -2699, -4266, -6181, -8444?
-11055
What is the next term in 7475, 7478, 7481, 7484, 7487, 7490?
7493
What is next in 28, 125, 286, 517, 824, 1213, 1690, 2261?
2932
What is the next term in 57, 84, 81, 30, -87?
-288
What is the next term in -96, -221, -392, -615, -896, -1241, -1656, -2147?
-2720
What is the next term in 58493, 116989, 175487, 233987?
292489
What comes next: -246891, -246894, -246897, -246900?
-246903
What comes next: -62465, -62463, -62461, -62459, -62457, -62455?
-62453
What is the next term in 8549, 8429, 8231, 7955?
7601
What is next in 171, 193, 225, 267?
319
What is the next term in 961, 1125, 1289, 1453, 1617, 1781?
1945
What is the next term in 3557, 3551, 3543, 3533, 3521?
3507
What is next in 117, 183, 241, 291, 333, 367, 393?
411
What is the next term in -737, -5788, -19493, -46178, -90169, -155792, -247373?
-369238
What is the next term in 11973, 47892, 107755, 191562?
299313
What is the next term in -186, -192, -98, 180, 726, 1624?
2958
What is the next term in -23, -57, -111, -185?
-279
What comes next: 4186, 4189, 4194, 4201, 4210?
4221
What comes next: -1439155, -2878311, -4317467?
-5756623
What comes next: -405, -420, -459, -534, -657, -840, -1095, -1434?
-1869
What is next in -753, -2978, -6675, -11844?
-18485
What is next in -3530, -3629, -3728, -3827?
-3926
What comes next: 465104, 465105, 465106?
465107
What comes next: -54, -48, 4, 126, 342, 676?
1152
What is next in 929, 1547, 2167, 2789, 3413?
4039
What is next in 20910, 20950, 20990, 21030, 21070, 21110?
21150
What comes next: -8169, -16312, -24455, -32598, -40741, -48884?
-57027
What is next in -2178, -8733, -19664, -34971?
-54654
What is next in -870, -1758, -2624, -3468?
-4290
What is the next term in -1255, -2381, -3531, -4717, -5951, -7245?
-8611
What is the next term in -52, -68, -82, -94, -104, -112, -118?
-122
What comes next: -45552, -45558, -45566, -45576?
-45588
What is next in 10160, 9682, 9204, 8726, 8248?
7770
What is the next term in 206, 342, 460, 560, 642, 706?
752
What is next in 173114, 173113, 173112, 173111, 173110?
173109
What is next in 102, 218, 382, 570, 758, 922, 1038?
1082
What comes next: -17738, -35452, -53128, -70748, -88294, -105748?
-123092
What is the next term in -239, -275, -261, -173, 13?
321
What is next in 228, 123, 18, -87?
-192
What is next in 27162, 108625, 244398, 434481, 678874, 977577, 1330590?
1737913
What comes next: 35, 219, 747, 1799, 3555, 6195, 9899?
14847
What comes next: 13758, 13755, 13752, 13749?
13746
What is the next term in 597, 400, 203, 6?
-191
What comes next: -1710, -3507, -5304, -7101?
-8898
What is the next term in -4721, -4733, -4757, -4799, -4865, -4961, -5093, -5267?
-5489
What is next in -991, -1357, -1725, -2095, -2467, -2841, -3217?
-3595
What comes next: 150, 212, 314, 456, 638, 860, 1122?
1424
What is next in -596, -2312, -5180, -9206, -14396, -20756?
-28292
What is next in 1730, 6986, 15768, 28076, 43910, 63270?
86156
What comes next: -54, 98, 360, 738, 1238, 1866, 2628?
3530
What comes next: -11653, -23302, -34951?
-46600
What is next in 121113, 121111, 121109, 121107, 121105?
121103
What is the next term in -136, -494, -1086, -1906, -2948?
-4206
What comes next: 623, 2673, 6141, 11027?
17331
What is the next term in -906, -1026, -1218, -1476, -1794?
-2166
What comes next: -12320, -24637, -36954, -49271, -61588?
-73905
What is next in 189, -1673, -4775, -9117, -14699, -21521?
-29583
What is next in 2741511, 2741513, 2741515, 2741517, 2741519?
2741521
What is the next term in -1686, -6765, -15238, -27111, -42390, -61081, -83190?
-108723
What is the next term in 41, 131, 305, 611, 1097?
1811
What is the next term in -2826, -2894, -3008, -3168, -3374?
-3626
What is next in 76746, 76773, 76808, 76857, 76926, 77021?
77148
What is the next term in -1994, -2217, -2562, -3023, -3594, -4269?
-5042
What comes next: -64274, -128541, -192806, -257069?
-321330
What is next in 265, 952, 2093, 3688, 5737, 8240?
11197
What comes next: -10912, -10833, -10754?
-10675
What is next in 145528, 291054, 436580, 582106, 727632, 873158?
1018684
What is the next term in -386445, -1545768, -3477973, -6183060, -9661029?
-13911880
What is the next term in 1440, 1396, 1352, 1308, 1264, 1220?
1176
What is next in -123795, -123792, -123789, -123786?
-123783
What is next in -287, -1234, -2841, -5108, -8035?
-11622
What comes next: 8, 151, 396, 743, 1192, 1743?
2396
What is the next term in -764600, -764597, -764592, -764585, -764576, -764565?
-764552
What is the next term in -5109, -10270, -15437, -20610?
-25789
What is the next term in -1023, -1074, -1125, -1176, -1227, -1278?
-1329
What comes next: -88, -177, -184, -67, 216?
707
What comes next: -8185, -9063, -9929, -10777, -11601, -12395?
-13153
What is the next term in -14538, -29057, -43566, -58065, -72554, -87033, -101502?
-115961
What is next in 3075, 6124, 9173, 12222, 15271?
18320
What is the next term in -61747, -61745, -61745, -61747?
-61751
What is next in -47, 1240, 2529, 3820, 5113, 6408, 7705?
9004
What is the next term in | {
"pile_set_name": "DM Mathematics"
} |
+ 13. What is n(u)?
-3
Let m(b) = 2*b**2 - 36*b**3 - 1 + 7*b**3 + 15*b**3. Let f(c) = c**3 + 3*c**2 - 4*c - 10. Let q be f(-3). Suppose 0*a + 7 = -y - 2*a, -q*y = a + 2. What is m(y)?
-13
Let o(z) = -50*z - z**2 + 16 - 8 + 21 + 36*z. Determine o(-13).
42
Suppose -6 + 24 = 6*o. Suppose 0 = 6*w - w - 25, -o*c = -w - 28. Let b(r) = -4 - 17 + c + 3*r. Calculate b(8).
14
Let a(d) = -28*d**2 + 32*d - 21. Let g(k) = -13*k**2 + 15*k - 10. Let j(x) = 6*a(x) - 13*g(x). Suppose 2*v - v = 0. Let f = 3 + v. Give j(f).
4
Let b(v) be the third derivative of 0*v - 1/12*v**5 + 1/3*v**3 + 1/8*v**4 - 9*v**2 - 1 + 1/120*v**6. What is b(4)?
-2
Let l(b) = b**3 + 16*b**2 + 25*b - 23. Let a be l(-14). Let w(g) = g**2 - 26*g + 141. Determine w(a).
8
Let r(d) = -1657*d**2 + 18 + 45 - 19 + 1658*d**2 + 20*d. Give r(-18).
8
Let x(q) = q**3 - 3*q**2 - 8. Let r be -9 + 0 - 1/(-2)*24. Give x(r).
-8
Let l(s) be the first derivative of s**5/30 - s**3/3 - 7*s**2/2 + 6*s - 24. Let a(x) be the second derivative of l(x). Determine a(-2).
6
Let v be (-6)/(276/115)*(-1)/((-450)/(-3)). Let m(z) be the third derivative of 0*z + 0 - 1/6*z**3 - 4*z**2 + 1/8*z**4 + v*z**5. Calculate m(-3).
-1
Let i(u) = -4*u**2 + u - 5. Let m(s) = -23*s**2 + 7*s - 28. Let a(q) = 34*i(q) - 6*m(q). Let p(g) = -g**2 - 9*g + 6. Let l be p(-9). Calculate a(l).
22
Let i(m) be the second derivative of m**4/12 + 3*m**3/2 - 13*m**2/2 - 13*m. Suppose n - 18 = -29. Give i(n).
9
Let v = 5 - 14. Suppose 0 = 158*b - 178*b + 140. Let y(o) = 3*o + o**3 - 5 + b*o**2 + 3*o**2 + 5*o + 0*o - 8. What is y(v)?
-4
Suppose -3*k + w = 15, 3*k + 40*w - 35*w + 51 = 0. Let d(t) = -11*t - 72. Give d(k).
5
Let d(x) = x**3 - 4*x**2 - 13*x - 13. Let i(n) = -95*n - 374. Let w be i(-4). Determine d(w).
-19
Let n(x) be the second derivative of -x**4/12 + x**3/6 - 4*x**2 + 1581*x. Determine n(-6).
-50
Let c(a) = 1118*a + 142. Let s(j) = -477*j - 71. Let t(k) = -3*c(k) - 7*s(k). Give t(5).
-4
Let z = -8 - -1. Let b(n) = 40*n + 15. Let v(o) = 36*o + 16. Let w(h) = 8*b(h) - 9*v(h). Calculate w(z).
4
Let p(l) = -l**2 + 7*l - 5. Let x(a) = -2*a**2 + 10*a - 7. Let u be (-80)/(-24) - (-2)/3. Let y = u + -11. Let w(n) = y*p(n) + 5*x(n). Give w(-1).
-4
Let p(y) = -y**2 + 18*y - 66. Let w be (-40)/(-26) + 690/1495 + 1*5. Calculate p(w).
11
Let l(t) = -4*t**2 - 9*t + 3. Let b(g) = -17*g**2 - 37*g + 11. Let w(p) = 2*b(p) - 9*l(p). Determine w(-6).
25
Let i(p) = 3*p**2 + 1. Let x(c) = -c**2 - 21*c + 58. Let o be x(-24). Let a be -2 + ((-4)/(-1))/(o/(-14)). What is i(a)?
13
Let n(j) be the second derivative of j**4/12 - 3*j**3 + 34*j**2 + 1719*j. Give n(13).
3
Suppose 7*l - 60 = -8*l. Suppose -5*n + 3216 + 524 = 4*w, l*w - 5*n - 3740 = 0. Let j(k) = w - 3*k + 4*k - 925. What is j(0)?
10
Let a(y) be the first derivative of -5*y**2/2 - 2*y + 54. Let k(q) = 14*q + 5. Let d(o) = 8*a(o) + 3*k(o). Suppose 3*r - 6 = -0*r. Determine d(r).
3
Let r(k) = 13*k + 1 - 1. Suppose -2*c - 4*a - 18 = 0, -2014*c = -2019*c - 4*a - 15. Give r(c).
13
Let b(g) = -7*g**2 + 23*g**2 + 1 - 351*g + 351*g - 5*g**2. What is b(2)?
45
Let z(x) = 105 + 102 + 106 - 327 + 4*x + 14*x - x**2. What is z(16)?
18
Let p(r) = 6*r**2 + 185*r - 10. Let j(w) = 3*w**2 + 111*w - 5. Let m(f) = 5*j(f) - 3*p(f). Calculate m(-3).
-22
Let c(d) = 2*d**3 - 3*d - 4. Let f be (1 - -1)*186/124. Give c(f).
41
Let p(m) be the third derivative of m**4/24 + 13*m**3/6 - 10*m**2 - 62. Let z be 4/(-10) + (-86)/10. Give p(z).
4
Let a(b) = -b**3 + 21*b**2 + 161*b + 60. Let c be a(27). Let v(u) = -2*u**3 + 64*u**2 + 65*u + 32. Determine v(c).
-1
Let f(u) be the third derivative of -u**6/60 + 13*u**5/60 - 11*u**4/24 - u**3/2 + 3*u**2 - 451. Determine f(5).
17
Suppose 3*w - 6 = 5*a - 0, -3*w - 2*a = 15. Let i(z) = -z**3 + 2*z. Determine i(w).
21
Let q = 15 - 10. Let v(m) = -29*m**2 - 34*m - 15. Let p(a) = -8*a**2 - 9*a - 4. Let b(s) = -22*p(s) + 6*v(s). What is b(q)?
18
Let j(u) be the first derivative of -u**3/3 - 7*u**2/2 - 5*u - 1. Let b be j(-3). Let a(n) = -19*n**3 + 8*n**3 + 8*n**2 + 2 + 10*n**3 - 6*n. Calculate a(b).
9
Let p(b) = -2*b**2 + 3*b + 9. Suppose -34 + 76 - 42 = -18*r. Give p(r).
9
Let p(b) = -4*b - 376. Let o(m) = 2*m + 340. Let z(s) = -7*o(s) - 6*p(s). Give z(13).
6
Let m(d) = 5*d - 207. Let l(b) = 22*b**2 - 103*b + 102. Let x be l(4). What is m(x)?
3
Let c(k) = 13*k + 9. Suppose m - 24 = 3*m - 16. Give c(m).
-43
Let j = -49 - 159. Let v = j - -201. Let i(a) = a**3 + 6*a**2 - 8*a - 3. What is i(v)?
4
Let z(j) = 7*j**2 - 14. Let l(r) = 19*r**2 + 2*r - 47. Let k(g) = -28*g**2 - 3*g + 70. Let v(d) = 5*k(d) + 8*l(d). Let o(u) = -3*v(u) + 5*z(u). Determine o(-5).
-2
Let z(o) = 196*o**2 - 615*o**2 + 5 + 201*o**2 + o**3 - o + 199*o**2. Determine z(19).
-14
Let t(y) be the first derivative of 3/2*y**2 - 2*y + 2/3*y**3 - 1/4*y**4 + 156. Let s = -3 - -5. Determine t(s).
4
Let x = -4381 - -4386. Let a(u) = 13*u - 14. Calculate a(x).
51
Let t(p) = 10 - 3 + 203*p - 408*p + 3*p**3 + 200*p - 8*p**2 + 5. Give t(3).
6
Suppose 118 = 3*i + t, -3*i - 2*t + 54 + 62 = 0. Let b be i/6 + -2 + (-8)/12. Let r(x) = -b*x**2 - 9*x**3 + 8*x**3 - x + 2*x**3 + 6*x - 2. Calculate r(3).
4
Let a(u) be the third derivative of u**6/120 + u**5/10 - 23*u**4/8 - 7*u**3/3 - 4253*u**2. Determine a(6).
4
Let f(w) = -11*w - 15. Let u(s) = 31*s + 47. Let b(g) = 8*f(g) + 3*u(g). Give b(-5).
-4
Let h(i) = -i + 4. Let r = -4497 - -4490. Determine h(r).
11
Let y(z) = 15*z - 26. Let n(f) = 3*f - 5. Let j be (1 + 0)*(-11)/(-2 - -1). Let w(b) = j*n(b) - 2*y(b). Let s = 77 + -75. What is w(s)?
3
Let z(j) = -35 + 48 - 3*j + 3 - 2*j + 3*j. What is z(8)?
0
Let d(x) = -15*x - 11. Let y(c) = c + 6. Let m(v) = d(v) + 3*y(v). Determine m(4).
-41
Suppose -332*c - 57 = -389*c. Let o(t) = 24*t**2 + 2*t - 1. Determine o(c).
25
Let i = 10994 + -10989. Let d(u) = -3*u**2 + 4*u + 5. Calculate d(i).
-50
Let r(l) be the second derivative of -l**3/6 - l**2 - l. Let j be 6/24 - ((-487)/4)/1. Suppose 143 = -7*v + j. Determine r(v).
1
Suppose -91 = -3*c - 5*s, -2*s = 7*c - 3*c - 98. Let f(z) = 20*z + 3 + 1 - 5*z**2 + z**2 + 3*z**2 - c*z. What is f(-4)?
-4
Let l(s) = -3*s - 184. Let h(q) = -5*q - 282. Let k(u) = 5*h(u) - 8*l(u). Calculate k(20).
42
Suppose -2*h - 2*q + 24 = -6*q, -2*q = 2*h. Suppose g + g - 54 = 4*j, -12 = h*j. Suppose -24*y = -g*y + 12. Let n(l) = 6*l. Give n(y).
-24
Let x(i) = 2*i - 11. Let t(z) = 2*z - 12. Let d = 15 + -20. Let q(c) = d*t(c) + 6*x(c). Let p be 104/16 - 1/2. What is q(p)?
6
Let q(x) be the second derivative of x**5/20 + 5*x**4/12 + 3*x**3/2 + 87*x**2/2 + 2273*x. Give q(-6).
-3
Let b(q) = -q**3 - 5*q**2 - 5*q - 19. Let w(f) = -2*f**2 - 2*f - 10. Let t(m) = 4*b(m) - 10*w(m). Let h(y) be the first derivative of t(y). Calculate h(-1).
-12
Let z(b) be the third derivative of -b**4/3 + 35*b**3/6 + 1182*b**2. What is z(10)?
-45
Let c(z) = z**2 + 12*z + 2. Suppose 30 = -5*p - 30. Let v be c(p). Suppose -v*r - 13 = j, -j - 14 = r - 3*j. Let h(i) = -i - 3. Determine h(r).
5
Let v(g) be the third derivative of g**4/6 + 5*g**3/6 - 1870*g**2. Calculate v(5).
25
Let x(t) = 17*t + 796590 - 42*t - 796686. Calculate x(-4).
4
Let c(u) = -u**2 - 11*u - 22. Let b be c(-8). Let v(h) = h - 4*h + 7*h - b. Calculate v(4).
14
Let v(b) = -101*b + 42*b + 6 + 68*b. Calculate v(-6).
-48
Let n(h) be the second derivative of -h**5/10 + 11*h**4/12 + h**3 - 52*h + 18. Determine n(6).
0
Let v(q) = q**2 - 4*q - 3. Let b be v(5). Let f(g) = 4*g - 3*g + 5*g**b - 10*g**2 + 2 - g**3. Let a be (-4116)/812 + (-2)/(-29). Give f(a).
-3
Let c = 92 + -88. Let t(f) = 1 + 3 - 15 - 13*f + c + 8. What is t(-1)?
14
Let y(a) = a**3 - 4*a**2 - a + 7. Let o be y(4). Suppose o*g = 17 - 5. Let d(p) = -47 + p**2 - 2*p + 94 - 49. Give d(g).
6
Let s(t) = -2*t - 5. Let f be s(-6). Suppose 95 - f = v. Let c(i) = i + 88 - v. Determine c(-4).
-4
Let t(r) = r**2 + 6*r - 24. Suppose -1360 = 41*d + 62*d + 67*d. Give t(d).
-8
Let a(y) = -6*y - 17. Let p = 2287 + -2282. Give a(p).
-47
Let x = 7 - 17. Let v(c) be the third derivative of c**6/120 + 11*c**5/60 + 11*c**4/24 + c**3/2 - 15095*c**2. Determine v(x).
-7
Let c(r) = -r**3 + 5*r**2 + 2*r - 9. Let j = -10012 + 10018. Calculate c(j).
-33
Suppose -3*b + 12 = 0, 4*s - 3*b + 14 = 34. Suppose 10*n = 14*n - s. Let d(v) = 6*v + 2. Determine d(n).
14
Le | {
"pile_set_name": "DM Mathematics"
} |
the g'th term of 942, 947, 956, 969, 986, 1007, 1032?
2*g**2 - g + 941
What is the q'th term of -20471, -40925, -61379, -81833?
-20454*q - 17
What is the s'th term of -53, -253, -619, -1175, -1945, -2953, -4223, -5779?
-4*s**3 - 59*s**2 + 5*s + 5
What is the d'th term of -890, -3532, -7934, -14096, -22018, -31700?
-880*d**2 - 2*d - 8
What is the z'th term of 133, 231, 395, 625?
33*z**2 - z + 101
What is the j'th term of -3522, -3527, -3544, -3579, -3638, -3727, -3852?
-j**3 + 2*j - 3523
What is the p'th term of -469, -488, -535, -622, -761?
-2*p**3 - 2*p**2 + p - 466
What is the w'th term of 454, 937, 1468, 2071, 2770, 3589, 4552?
4*w**3 + 455*w - 5
What is the w'th term of 35141, 35151, 35161, 35171?
10*w + 35131
What is the v'th term of 952, 863, 776, 691?
v**2 - 92*v + 1043
What is the q'th term of -291, -434, -573, -708, -839?
2*q**2 - 149*q - 144
What is the t'th term of 23471, 23475, 23483, 23495, 23511, 23531, 23555?
2*t**2 - 2*t + 23471
What is the c'th term of -1998, -5041, -8084?
-3043*c + 1045
What is the i'th term of -1347, -1315, -1253, -1155, -1015, -827, -585, -283?
i**3 + 9*i**2 - 2*i - 1355
What is the f'th term of -36796, -36853, -36948, -37081?
-19*f**2 - 36777
What is the s'th term of 602, 535, 462, 383, 298?
-3*s**2 - 58*s + 663
What is the n'th term of 79989, 159978, 239967?
79989*n
What is the v'th term of 1093, 4331, 9733, 17305, 27053, 38983?
v**3 + 1076*v**2 + 3*v + 13
What is the i'th term of -6016, -12102, -18190, -24280, -30372?
-i**2 - 6083*i + 68
What is the n'th term of 1677, 6725, 15139, 26919, 42065, 60577?
1683*n**2 - n - 5
What is the x'th term of 249, 632, 1269, 2160, 3305, 4704, 6357?
127*x**2 + 2*x + 120
What is the b'th term of 5340, 21361, 48056, 85419, 133444, 192125?
-b**3 + 5343*b**2 - b - 1
What is the l'th term of 9024, 9030, 9036, 9042?
6*l + 9018
What is the u'th term of 4627, 3982, 2903, 1384, -581, -2998, -5873, -9212?
-u**3 - 211*u**2 - 5*u + 4844
What is the a'th term of -7498, -7657, -7922, -8293?
-53*a**2 - 7445
What is the k'th term of -4307, -4265, -4151, -3929, -3563, -3017?
6*k**3 - 4313
What is the u'th term of -42, -53, -62, -69, -74, -77, -78?
u**2 - 14*u - 29
What is the w'th term of 253924, 507848, 761772, 1015696, 1269620?
253924*w
What is the y'th term of 216659, 433316, 649973?
216657*y + 2
What is the b'th term of 1015479, 1015488, 1015509, 1015548, 1015611?
b**3 + 2*b + 1015476
What is the g'th term of 9470, 9466, 9460, 9452, 9442, 9430?
-g**2 - g + 9472
What is the p'th term of 140411, 140409, 140407, 140405, 140403, 140401?
-2*p + 140413
What is the p'th term of 3086, 6103, 9108, 12095, 15058?
-p**3 + 3024*p + 63
What is the n'th term of -148786, -148788, -148792, -148798, -148806, -148816?
-n**2 + n - 148786
What is the j'th term of -333, 324, 995, 1686, 2403, 3152, 3939?
j**3 + j**2 + 647*j - 982
What is the i'th term of -3693, -7386, -11079?
-3693*i
What is the w'th term of -1373, -1543, -1723, -1919, -2137, -2383, -2663?
-w**3 + w**2 - 166*w - 1207
What is the u'th term of 64634, 129270, 193906?
64636*u - 2
What is the c'th term of 424, 1264, 2106, 2950?
c**2 + 837*c - 414
What is the d'th term of -1583517, -1583515, -1583513, -1583511?
2*d - 1583519
What is the o'th term of -1221673, -2443349, -3665025, -4886701?
-1221676*o + 3
What is the a'th term of -14607, -14608, -14619, -14646, -14695, -14772?
-a**3 + a**2 + 3*a - 14610
What is the o'th term of 112283, 224564, 336845, 449126, 561407?
112281*o + 2
What is the o'th term of -1791, -3700, -5611, -7524, -9439?
-o**2 - 1906*o + 116
What is the u'th term of 574, 1134, 1682, 2218, 2742, 3254, 3754?
-6*u**2 + 578*u + 2
What is the x'th term of 372, 725, 1078, 1431?
353*x + 19
What is the h'th term of 29775, 29773, 29771, 29769, 29767?
-2*h + 29777
What is the z'th term of -32, 72, 336, 838, 1656, 2868, 4552?
13*z**3 + 2*z**2 + 7*z - 54
What is the f'th term of 168, 1277, 3130, 5727, 9068?
372*f**2 - 7*f - 197
What is the b'th term of -9931, -19877, -29823?
-9946*b + 15
What is the s'th term of 1673, 3045, 4417, 5789?
1372*s + 301
What is the h'th term of -104, -252, -360, -428, -456, -444, -392?
20*h**2 - 208*h + 84
What is the q'th term of 215, 814, 1795, 3152, 4879, 6970?
-q**3 + 197*q**2 + 15*q + 4
What is the z'th term of 287, 360, 433, 506?
73*z + 214
What is the f'th term of -245, -744, -1725, -3428, -6093, -9960, -15269?
-40*f**3 - f**2 - 216*f + 12
What is the l'th term of 353950, 707897, 1061844, 1415791?
353947*l + 3
What is the k'th term of -6210, -12430, -18648, -24864?
k**2 - 6223*k + 12
What is the a'th term of 120, 475, 1060, 1875?
115*a**2 + 10*a - 5
What is the w'th term of 1041, 877, 729, 603, 505, 441, 417, 439?
w**3 + 2*w**2 - 177*w + 1215
What is the j'th term of -23884, -47769, -71654, -95539?
-23885*j + 1
What is the r'th term of -9463, -19027, -28587, -38143, -47695?
2*r**2 - 9570*r + 105
What is the b'th term of -505, -2007, -4513, -8023, -12537, -18055?
-502*b**2 + 4*b - 7
What is the h'th term of 190, 179, 24, -269, -694, -1245, -1916, -2701?
h**3 - 78*h**2 + 216*h + 51
What is the s'th term of 302074, 302090, 302106, 302122, 302138?
16*s + 302058
What is the m'th term of -111, -178, -271, -402, -583, -826, -1143?
-2*m**3 - m**2 - 50*m - 58
What is the x'th term of 2001, 1725, 1447, 1167, 885, 601?
-x**2 - 273*x + 2275
What is the b'th term of 1988936, 1988941, 1988948, 1988957, 1988968?
b**2 + 2*b + 1988933
What is the j'th term of -42733, -85537, -128341, -171145, -213949?
-42804*j + 71
What is the d'th term of 814208, 1628413, 2442618, 3256823, 4071028, 4885233?
814205*d + 3
What is the r'th term of -209, -15, 309, 763, 1347, 2061?
65*r**2 - r - 273
What is the q'th term of 95699, 765688, 2584233, 6125612, 11964103, 20673984, 32829533?
95713*q**3 - 2*q - 12
What is the v'th term of 385, 399, 423, 457?
5*v**2 - v + 381
What is the u'th term of -3, 738, 1993, 3768, 6069, 8902?
u**3 + 251*u**2 - 19*u - 236
What is the a'th term of -979, -2154, -3329?
-1175*a + 196
What is the j'th term of -801, -1576, -2347, -3114, -3877, -4636?
2*j**2 - 781*j - 22
What is the k'th term of -132, -284, -454, -642, -848, -1072, -1314?
-9*k**2 - 125*k + 2
What is the d'th term of 273, 244, 221, 210, 217?
d**3 - 3*d**2 - 27*d + 302
What is the n'th term of 4111, 4224, 4351, 4498, 4671, 4876, 5119?
n**3 + n**2 + 103*n + 4006
What is the b'th term of -9478357, -9478359, -9478361, -9478363?
-2*b - 9478355
What is the h'th term of 171, 402, 703, 1080, 1539, 2086, 2727?
h**3 + 29*h**2 + 137*h + 4
What is the a'th term of -563723, -563721, -563719, -563717, -563715, -563713?
2*a - 563725
What is the d'th term of -33749, -67472, -101169, -134840, -168485, -202104?
13*d**2 - 33762*d
What is the q'th term of 1393693, 1393690, 1393687, 1393684, 1393681?
-3*q + 1393696
What is the v'th term of -14451, -28903, -43365, -57843, -72343, -86871?
-v**3 + v**2 - 14448*v - 3
What is the w'th term of 524, 2046, 4536, 7994, 12420, 17814, 24176?
484*w**2 + 70*w - 30
What is the x'th term of 9875, 19751, 29627, 39503, 49379, 59255?
9876*x - 1
What is the r'th term of -13460, -13461, -13462, -13463, -13464?
-r - 13459
What is the i'th term of -1457, -5261, -11399, -19865, -30653, -43757, -59171?
i**3 - 1173*i**2 - 292*i + 7
What is the v'th term of 675, 747, 817, 885, 951?
-v**2 + 75*v + 601
What is the j'th term of 1748, 1764, 1780, 1796, 1812?
16*j + 1732
What is the a'th term of -3107, -6223, -9339?
-3116*a + 9
What is the r'th term of 32669, 65333, 97997, 130661, 163325?
32664*r + 5
What is the q'th term of 400, 683, 962, 1237?
-2*q**2 + 289*q + 113
What is the d'th term of -1030, -3127, -6622, -11515?
-699*d**2 - 331
What is the q'th term of -2170, -3811, -5452, -7093, -8734?
-1641*q - 529
What is the i'th term of 2527514, 5055028, 7582542, 10110056, 12637570?
2527514*i
What is the f'th term of -121231, -242461, -363691?
-121230*f - 1
What is the w'th term of 618, 244, -384, -1266, -2402, -3792, -5436?
-127*w**2 + 7*w + 738
What is the m'th term of 599250, 599251, 599252, 599253?
m + 599249
What is the n'th term of -33, -241, -807, -1911, -3733, -6453, -10251?
-30*n**3 + n**2 - n - 3
What is the r'th term of -1481, -6036, -13705, -24494, -38409?
-r**3 - 1551*r**2 + 105*r - 34
What is the r'th term of 35993, 36085, 36177, 36269?
9 | {
"pile_set_name": "DM Mathematics"
} |
the closest to r in -4/3, -47/2, 0.1?
0.1
Let i be 0 + (-8 - (-120)/16). Let k = 9 - 9.4. Let q = -0.04 - -3.04. Which is the closest to q? (a) -3 (b) i (c) k
c
Let l = -5577 - -5578. What is the nearest to -2 in l, 4, 157?
l
Let n = 6.56 + -1.56. Let f = -31.9 + 32. Which is the nearest to f? (a) n (b) -3/7 (c) 0.1
c
Let i = 3900 - 3895. Which is the nearest to -12/23? (a) -1 (b) -1/7 (c) i
b
Let d be (-18)/96*2 + ((-45)/8 - (2 - 5)). Let s = 43 - 38.1. What is the nearest to -2/3 in s, d, 2?
d
Let v be (-125)/360 + (6/108)/(2/8). Which is the nearest to 1? (a) -2 (b) -1 (c) v (d) 8/43
d
Let j = 1.02 - -154.98. Let w = j - 166. Which is the closest to 2/9? (a) w (b) 1/5 (c) 2/19
b
Let i = -27.34 - -25.34. What is the nearest to 2 in -1/11, 0, -4, i?
0
Let q = 62 + -61.82. Let j = 11.18 - q. Which is the nearest to 0? (a) 0.4 (b) 5 (c) j
a
Let z = -93 + 278/3. Which is the closest to 0.1? (a) z (b) -1/5 (c) -40/3 (d) -0.4
b
Suppose 218*p = 232*p. Which is the nearest to -5? (a) p (b) -9 (c) 2
b
Let x be (1/(1*-4))/((-252)/(-224)). Which is the closest to 0.7? (a) 0.2 (b) -0.3 (c) 0.3 (d) x
c
Let u = 1.1 + -0.1. Let x = -17 + 65/4. Let m = 1866.6 + -1866.8. What is the nearest to u in x, m, 2/7?
2/7
Let x = 4.693 + -8.393. Let i = -5.1 + 5. What is the nearest to -1 in i, -0.3, x?
-0.3
Let t = 103.1 + -103. Let y = -55 + 40. Let x be y/21*6/(-15). Which is the closest to x? (a) t (b) -4 (c) -5
a
Let v = 6904 + -6904. Which is the nearest to 0.9? (a) -2 (b) -1/5 (c) v (d) -7
c
Let p = 643 - 650. Let g = -0.2 + 0.5. What is the closest to -1 in g, p, 3?
g
Let k(d) = -d**3 + 6*d**2 + 5*d - 4. Let s be k(5). Let u be s/(-36) + (-8)/36. Let i = -527 + 528. Which is the closest to 7? (a) -5 (b) u (c) i
c
Let o = -1153 - -1167. What is the closest to o in -4/5, 2, 1/9?
2
Let r = -13/22 + 179/154. Let y = 0.099 - 1.099. What is the closest to y in r, 3/7, 3?
3/7
Let q = 25.2 + -24.2. Suppose 3*w = z + w + 2, -3*w = -3. Suppose z = 3*m + 2*m - 10. Which is the closest to q? (a) m (b) 2/3 (c) -11
b
Suppose -d + q + 1 = 3*d, -5*q = d + 26. Let b = -161 - -164. What is the nearest to b in -2, -3, d?
d
Let h = -3.7 - -1.6. Let p = -2.2 - h. What is the closest to p in -4, -0.24, -1/3?
-0.24
Let l(u) = -2*u**3 + 8*u**2 - 67*u + 389. Let o be l(5). Which is the nearest to 2/9? (a) -1/8 (b) o (c) -0.3389
a
Let t = 9.8 - 8. Let u = t - 1.6. Let d = -0.1 + u. Which is the nearest to 0.1? (a) d (b) -1/6 (c) -2/9
a
Let q = -129 - -132. Suppose 0 + 3 = -q*s. Let a be (16/40)/((-12)/(-10)). What is the nearest to -0.9 in s, a, 3/5?
s
Let z = -7198/3 + 14393/6. Let q = -1.7 + -0.3. What is the nearest to -0.1 in z, q, -17?
z
Let k = -167 + 171. Suppose k*q = 0, -u + 3*u = -3*q - 4. Which is the nearest to -1? (a) u (b) -0.2 (c) -0.3
c
Let l = -10360/3 + 3453. What is the closest to 1 in -0.191, 0.5, l, -0.3?
0.5
Let s = 366 + -373. Let c = s - -6.89. What is the nearest to -1/5 in 1/2, 2/17, c?
c
Let n = 0.036 + -47.036. Let j = -43 - n. Suppose -2 = -o + 2. Which is the closest to o? (a) j (b) 1 (c) 0.4
a
Suppose 2*p = 5*o - 14, -2*p + 2*o = -3*p + 2. Let d = -0.21 + 0.71. What is the nearest to p in 1, -1, d?
-1
Let t be ((-6)/8)/(297/(-132)). What is the closest to t in -0.178, 0, -5?
0
Let r = 0.0016 + 11.5984. Let f = -0.038 - -11.238. Let l = f - r. What is the nearest to 0.1 in l, -0.5, -0.1?
-0.1
Let z = -95 - 173. Let o = z - -263. Which is the nearest to -2/5? (a) 0.5 (b) -0.4 (c) o
b
Let t = 0 - 0.1. Let v = -61 - -55. Let x = -4668.3 + 4668. What is the nearest to t in x, -4/9, v?
x
Let r = 9430.914 + -9431. What is the nearest to -1 in -6, r, 2/7?
r
Let d = 324 - 401. Let g = d + 74. Which is the nearest to 3/5? (a) 0.5 (b) -1/2 (c) g
a
Suppose m - 2 = -y - 5, m + 5*y + 15 = 0. Suppose 0 = -5*s - 15, -4*d - 3*s + m*s = 17. Let f = 5 + -5.1. Which is the closest to f? (a) 3/2 (b) d (c) -5
a
Let m = 2 + 1. Let y = -976/5731 + -6/521. Which is the nearest to 3? (a) y (b) 1 (c) m
c
Let b = -3042 + 3037. What is the nearest to -0.2 in b, -0.4, -0.2, -6?
-0.2
Let s be 6/14 - 0/2. Let b = -513.76 + 512.76. What is the closest to b in -1, 0, s?
-1
Let d = 2022/41 + -4003/82. Let k = -3.99 + -0.01. What is the closest to -0.1 in 2, d, k, 1?
d
Let x = 1.7 + -5.3. Let r = x - -3.3. Let y be (3/42)/((-5)/20). Which is the nearest to r? (a) y (b) -0.4 (c) -0.5
a
Suppose -67 = 2*v - f, v + f = -4*f - 39. Let z = 45486 - 45481. Which is the closest to -0.1? (a) z (b) 3 (c) v (d) -0.3
d
Let z be (114/(-95))/(2 + 16/(-10)). What is the closest to 2/7 in -9/5, 5, -9, z?
-9/5
Let g = -2996.95 + 2997. Which is the closest to -1? (a) 5 (b) 0.1 (c) 2.3 (d) g
d
Let r be (-4218)/(-1140) - ((-33)/10 - -3). Which is the nearest to 0.02? (a) 14 (b) -5 (c) r (d) 3/2
d
Let g(c) = c**3 - 22*c**2 + 20*c + 25. Let m be g(21). Let u be (-39 - -43)/(6*3). What is the closest to 17 in -1, u, m?
m
Let x = -17051/108 + 4256/27. Which is the nearest to 0? (a) x (b) -129/5 (c) 2
a
Let f be 6 + -5 + (-4)/5. Let t = -3624 + 3472.9. Let h = 151 + t. Which is the nearest to 2/9? (a) -3/4 (b) h (c) f
c
Let h = 0.189 - 2.189. Let j = 2.3 + h. Let b = -0.13 - -3.13. What is the closest to -1 in b, 0.4, j?
j
Let j be (-1 + 16/6)*(-2466)/5480. Let h = 3 + 2. Which is the nearest to 0.2? (a) j (b) h (c) -0.2
c
Let s = 2/6251 + 30749/1581503. Let o = 61/759 - s. Which is the closest to -1? (a) -1/6 (b) o (c) 2/5
a
Let x = -16.234 - -4.234. Which is the closest to -2/9? (a) x (b) -19 (c) -2/5
c
Suppose 3*q + q = -5*m + 76, -5*q + 2*m + 62 = 0. Let f be (4/q)/((-20)/84). What is the nearest to 2 in -0.2, f, 2/73?
2/73
Let k be 1/(-4) - 7/((-588)/45). Let t = -0.84 + 0.24. Let h = -0.9 - t. What is the nearest to 4 in k, h, -2/17?
k
Let n be ((-6)/4)/3*-4. Let j = -3.1304 - -2.1304. Which is the nearest to 3/4? (a) 1.6 (b) j (c) n
a
Let q = 0.5633 + -0.4633. Which is the nearest to q? (a) -0.02 (b) -1 (c) 6 (d) 5
a
Let q(i) = i**3 - 11*i**2 + 31*i - 20. Let p = 9 + -2. Let g be q(p). What is the closest to 2/9 in 0.5, g, 0.05, 0.1?
0.1
Let n = -145.6 - -146. Let x = -0.035 - -0.095. What is the nearest to 1 in 3/8, n, x?
n
Let o be (-4 - 376/72) + 9. Which is the nearest to o? (a) -4 (b) 5/8 (c) 7
b
Let g = -5 + 4.6. Let s = 1483803 + -37095073/25. What is the closest to 1/9 in -2, s, g?
s
Let m = -6.52 + 3.33. Let z = m + 5.19. What is the nearest to z in 3, -4/5, 4/7, -5/4?
3
Let l be 39/60 - 8/32. Let n = -13 - -9. Let y be (n/6)/((-40)/12). Which is the closest to -2/3? (a) y (b) 0.7 (c) l
a
Let f = -72146 - -72147. Suppose v - 2 = 2. Let x = -2.2 - -2. Which is the closest to 2/7? (a) v (b) f (c) x
c
Let z = -1.7 - -1.7. Let t be ((-27)/(-6))/((-12)/(-8)). What is the nearest to 0 in t, 5/4, z?
z
Let z = 175.3 + -171.3. What is the closest to 2 in 3, -1, -4, z?
3
Let z = -1041 - -1044. Suppose -4*w = 2*g - 9*w + 33, g = 5*w - 19. Which is the closest to g? (a) 1 (b) z (c) 0.1
c
Let f = 4 - 5. Let w be (f + 6/4)/(-1). Let l be (-19)/6 + 18 + 1819/(-102). What is the nearest to l in 4, -4, w?
-4
Let r = 1/1516 + 3025/10612. What is the closest to r in 1.2, -5/4, 5?
1.2
Let t be 7 + (-8 - -9 - (1 - -2)). Suppose 21 = -t*o + 26. Suppose 2*z + 2 = 8. What is the closest to o in z, 2, -0.5?
2
Let s = 0.2 + -0.3. Let j be 1200/1125*(-15)/36. Which is the nearest to 0? (a) -1 (b) j (c) s
c
Let l be 9 + (1925/(-189))/5 + -7. What is the nearest to -1 in 2/9, -11, -2, l?
l
Let y = 1.029475 + -0.029475. Suppose 0 = 5*f + 3*s - 22, 0 = f + f + s - 9. Let m = -0.2 + 2.2. What is the closest to m in f, y, -3?
y
Let f = 1539.35 + -1539.4. Which is the closest to -16? (a) -1 (b) -0.1 (c) -3/4 (d) f
a
Let t = 94.9 + -105. Let o = 9.1 + t. What is the nearest to -2 in 3, -1/4, o?
o
Let g = 68093/4 + -16714. Let x = 309 - g. Let q = 0 - 0.2. Which is the nearest to 0.1? (a) -3 (b) q (c) x
b
Let k = -903 + 903.4. Let o = 16/5 - 53/15. What is the closest to -1 in k, o, 10?
o
Let o = -4.0552 - -0.0552. Let i = -0.91 - -5.91. Let n = 6 - 11. What is the closest to -2/7 in o, n, i?
o
Let x = -0.1539 - 0.1461. What is the closest to -2 in -0.1, 93, x?
x
Let x be (-1250)/(-1000) - (-13)/(-8). Whi | {
"pile_set_name": "DM Mathematics"
} |
, and 1 o when four letters picked without replacement from {i: 1, v: 1, d: 2, o: 8, m: 2}.
16/1001
What is prob of picking 2 k when two letters picked without replacement from kwkwkkkwkkkkwk?
45/91
Four letters picked without replacement from {a: 4, y: 1, h: 5, x: 8}. Give prob of picking 1 y, 1 x, and 2 h.
4/153
Three letters picked without replacement from {g: 1, h: 4, v: 7, p: 1, n: 5, t: 1}. What is prob of picking 1 h and 2 n?
40/969
Four letters picked without replacement from ukvkkvuccikkvvuuuvv. What is prob of picking 3 u and 1 c?
5/969
Two letters picked without replacement from rmiriilrlrimimuim. Give prob of picking 1 r and 1 m.
2/17
Two letters picked without replacement from ofudjll. What is prob of picking 1 f and 1 o?
1/21
Two letters picked without replacement from mxnnxxknmh. Give prob of picking 1 x and 1 k.
1/15
Two letters picked without replacement from {q: 2, r: 1}. Give prob of picking 2 q.
1/3
Two letters picked without replacement from {j: 1, u: 5, z: 6, g: 2, x: 1, o: 1}. Give prob of picking 1 j and 1 u.
1/24
Three letters picked without replacement from ebebbqlbqlqlmeb. What is prob of picking 3 l?
1/455
What is prob of picking 1 t and 1 p when two letters picked without replacement from jtsspj?
1/15
What is prob of picking 2 z, 1 b, and 1 g when four letters picked without replacement from jbfbzzgzz?
2/21
Three letters picked without replacement from ggqqggggggggqgqggg. What is prob of picking 3 q?
1/204
Two letters picked without replacement from {h: 4}. What is prob of picking 2 h?
1
What is prob of picking 3 h when three letters picked without replacement from hrhhhyrhhhhy?
14/55
Four letters picked without replacement from {m: 1, g: 5, u: 4, h: 2, t: 2, r: 1}. What is prob of picking 1 m, 1 h, 1 g, and 1 t?
4/273
Two letters picked without replacement from {l: 1, p: 1, a: 1, z: 1, g: 1}. Give prob of picking 1 z and 1 a.
1/10
Four letters picked without replacement from {x: 3, j: 4, e: 2, w: 1, p: 4, f: 1}. What is prob of picking 3 j and 1 w?
4/1365
Calculate prob of picking 3 h when three letters picked without replacement from {h: 10}.
1
Calculate prob of picking 2 o and 2 y when four letters picked without replacement from {o: 2, y: 2, v: 1}.
1/5
Two letters picked without replacement from {s: 2, l: 7}. Give prob of picking 1 s and 1 l.
7/18
Calculate prob of picking 1 a, 1 j, and 1 i when three letters picked without replacement from {j: 3, s: 7, h: 3, i: 4, a: 1}.
1/68
Three letters picked without replacement from smwlf. What is prob of picking 1 s, 1 w, and 1 m?
1/10
Three letters picked without replacement from gtbbgttutug. What is prob of picking 2 g and 1 b?
2/55
Calculate prob of picking 3 i and 1 r when four letters picked without replacement from riuiiiiiixiui.
84/715
Two letters picked without replacement from eoeeojjjeooojjojj. Give prob of picking 1 e and 1 o.
3/17
What is prob of picking 3 d when three letters picked without replacement from {l: 1, h: 1, m: 6, n: 4, w: 1, d: 3}?
1/560
Three letters picked without replacement from {t: 1, f: 1, y: 10, h: 4, u: 4}. What is prob of picking 2 h and 1 t?
1/190
Calculate prob of picking 2 g when two letters picked without replacement from ffgfffggfggffffffg.
5/51
Calculate prob of picking 1 y and 1 i when two letters picked without replacement from rsprrpspspripyr.
1/105
Three letters picked without replacement from fofofppxx. What is prob of picking 1 x and 2 f?
1/14
Two letters picked without replacement from bsbssggcgssbb. Give prob of picking 1 g and 1 b.
2/13
What is prob of picking 1 a, 1 h, and 1 q when three letters picked without replacement from {a: 6, h: 1, q: 8}?
48/455
What is prob of picking 1 x and 2 i when three letters picked without replacement from {m: 2, x: 4, i: 10}?
9/28
Two letters picked without replacement from {f: 1, n: 1, t: 1, x: 2}. What is prob of picking 2 x?
1/10
Calculate prob of picking 2 z when two letters picked without replacement from {z: 6}.
1
What is prob of picking 2 d when two letters picked without replacement from ddy?
1/3
Three letters picked without replacement from izaazzzizzaaii. Give prob of picking 1 z, 1 a, and 1 i.
24/91
What is prob of picking 3 u and 1 v when four letters picked without replacement from uuuvvuv?
12/35
Two letters picked without replacement from {m: 4, a: 4, g: 1, x: 1, y: 1, c: 3}. Give prob of picking 2 c.
3/91
Three letters picked without replacement from {d: 3, r: 1, o: 1, m: 1, j: 1}. What is prob of picking 3 o?
0
Two letters picked without replacement from {x: 10, k: 10}. What is prob of picking 2 x?
9/38
Three letters picked without replacement from {z: 2, c: 17}. Give prob of picking 3 c.
40/57
Two letters picked without replacement from {y: 1, p: 2, c: 3, k: 4, u: 1}. What is prob of picking 2 p?
1/55
Two letters picked without replacement from {r: 1, m: 1, n: 1, z: 1, a: 2, y: 1}. Give prob of picking 1 a and 1 m.
2/21
Four letters picked without replacement from adadaonddmadzddd. What is prob of picking 1 n, 1 o, 1 a, and 1 m?
1/455
Calculate prob of picking 1 x and 2 j when three letters picked without replacement from {o: 1, j: 3, x: 3, m: 2, z: 5, y: 1}.
9/455
Calculate prob of picking 3 w and 1 d when four letters picked without replacement from {w: 5, l: 2, d: 1, b: 2, o: 4}.
10/1001
Four letters picked without replacement from psllssslyyylgsllms. Give prob of picking 1 s, 2 y, and 1 l.
3/85
Calculate prob of picking 1 f and 2 n when three letters picked without replacement from {y: 1, f: 2, m: 1, h: 1, n: 2}.
2/35
Calculate prob of picking 1 j and 1 b when two letters picked without replacement from hjbhjjhjdjh.
1/11
What is prob of picking 1 e, 1 n, 1 v, and 1 c when four letters picked without replacement from hnhcvcte?
1/35
Calculate prob of picking 2 h when two letters picked without replacement from kkkkrkhkhhkkkkkkr.
3/136
Three letters picked without replacement from kpwwkpwppkpkk. What is prob of picking 2 p and 1 w?
15/143
Two letters picked without replacement from qqsqsnnsssnnqqsnnns. What is prob of picking 1 q and 1 n?
35/171
Four letters picked without replacement from {a: 1, q: 1, m: 9, c: 2, d: 3, j: 3}. Give prob of picking 1 a, 1 m, 1 j, and 1 d.
27/1292
Two letters picked without replacement from {z: 3, d: 7}. What is prob of picking 2 z?
1/15
Four letters picked without replacement from {w: 2, k: 18}. Give prob of picking 2 w and 2 k.
3/95
Three letters picked without replacement from {d: 4, t: 2, n: 3, y: 7, f: 3}. What is prob of picking 1 f and 2 y?
21/323
Calculate prob of picking 1 k, 2 b, and 1 x when four letters picked without replacement from {b: 2, x: 1, r: 2, k: 1, s: 2, u: 1}.
1/126
Three letters picked without replacement from {i: 1, t: 10, d: 6}. Give prob of picking 1 d and 2 t.
27/68
Calculate prob of picking 1 c and 1 b when two letters picked without replacement from csnjbtb.
2/21
Four letters picked without replacement from lzzzzzzzzlzzzlzzzzzz. Give prob of picking 3 l and 1 z.
1/285
Four letters picked without replacement from {i: 2, a: 3, z: 1, n: 2, e: 3, h: 3}. What is prob of picking 3 h and 1 a?
3/1001
Four letters picked without replacement from dodommccmdmycmddymod. Give prob of picking 1 c, 1 d, and 2 m.
18/323
Three letters picked without replacement from wvfovwwffwnwnfwv. Give prob of picking 1 v, 1 o, and 1 n.
3/280
What is prob of picking 1 w and 3 k when four letters picked without replacement from {m: 1, w: 9, t: 1, k: 5}?
9/182
Calculate prob of picking 1 i and 2 g when three letters picked without replacement from {x: 9, i: 2, g: 2}.
1/143
Three letters picked without replacement from {z: 7}. What is prob of picking 3 z?
1
Three letters picked without replacement from slmlfmpmm. Give prob of picking 1 l, 1 f, and 1 s.
1/42
What is prob of picking 2 d and 2 l when four letters picked without replacement from lldllddlll?
3/10
Calculate prob of picking 3 i when three letters picked without replacement from hieiihhiihi.
4/33
Two letters picked without replacement from {t: 3, y: 2}. Give prob of picking 1 t and 1 y.
3/5
Four letters picked without replacement from annooboboanooooaoo. Give prob of picking 1 n, 1 o, 1 b, and 1 a.
1/17
What is prob of picking 1 f, 1 j, and 2 k when four letters picked without | {
"pile_set_name": "DM Mathematics"
} |
9.
72
Calculate the common denominator of 12/7 and (-58)/12 + 16/24.
42
Suppose -2*p + 9*p = 154. Calculate the smallest common multiple of p and 10.
110
Let q(o) = -o**3 + 3*o**2 - 3*o + 3. Let m be q(2). Let c(p) = 10*p**2. What is the lowest common multiple of c(m) and 4?
20
Let o(n) = n + 195940. Let y be o(0). Let p be y/15 + (-2)/(-6). Let c = 130517/10 - p. Find the common denominator of -23 and c.
10
Suppose 0*i - 3*i = -4*r + 953, -624 = 2*i + 3*r. Let x = -1271/4 - i. Calculate the common denominator of 53/10 and x.
20
Let p(j) = -j**3 - 5*j**2 - 3*j + 5. Suppose -4*c + 3*c = 0. Suppose -x + 6*x + 25 = c. Calculate the smallest common multiple of 6 and p(x).
60
Suppose 0 = -2*k - 3*a + 7, 3*a - 2 - 4 = -3*k. Let c be -2 - -1 - (0 - -3). What is the least common multiple of 10 and 2/(c/(-2) + k)?
10
Let a = -3/44 - -5/33. Let m = 3473945/14 - 248270. Let y = m - -131. Find the common denominator of a and y.
84
Let j be (21 + -9)/(3/14). Suppose -4*b + j = -0*b. What is the least common multiple of 8 and b?
56
Let h = -5 - -16. Calculate the least common multiple of 10 and h.
110
What is the common denominator of 3/9 + 3/(-18)*-11 and 119/10?
30
Let j be (4 - -1)*(-4)/(-5). Suppose y + 12 = -11. Calculate the common denominator of y/j*40/(-15) and -23/10.
30
Let b = -43 - -47. Calculate the least common multiple of b and 8.
8
Let q = 1/12 - 11/24. Calculate the common denominator of 113/14 and q.
56
Calculate the common denominator of 97/6 and (-53)/(-22) - (-6 - -5).
66
Let a = -18 + 46. Let k = -20 + a. Calculate the smallest common multiple of 18 and k.
72
Let g(p) = 2*p**2 + 3*p + 5. Let k be g(-6). Suppose 2*d + 3*z - k + 186 = 0, -122 = 2*d + 4*z. Find the common denominator of (0 - d/9)/1 and 69/2.
18
Suppose 5*j = 3*j + 4. Let g = 94 + -50. Suppose 0*m + g = 2*m. Calculate the lowest common multiple of j and m.
22
Calculate the common denominator of -53/22 and 346/(-24) - (-12)/18.
44
Let t(c) = -c. Let q(x) = -4*x**2 - 6*x + 1. Let w(b) = -q(b) + 6*t(b). What is the lowest common multiple of w(-1) and 4?
12
Suppose -c - 2*c = 0. Suppose 3*w - w - 20 = c. Calculate the least common multiple of w and 20.
20
Let i = -22944 + 161557/7. Let g = i + -19379/140. Calculate the common denominator of -53/16 and g.
80
Let p = -745/87 - 3/29. Suppose 5*j = 5, -2*j = -m - j + 23. Suppose -3*h + 3*o + m = 0, -5*o = -4*o - 2. Find the common denominator of p and h.
3
Find the common denominator of (2/(-14))/((-22)/121) and -59/18.
126
Suppose -3*w + 2*j + 2*j = -38, -32 = -2*w + 4*j. What is the smallest common multiple of (-5)/2*20/(-25) and w?
6
Let c = -4 + 15. Suppose 23 = 2*d + 3*z, d - 4*d + z + 7 = 0. Suppose -3*w - 22 = -3*t + w, -d*w = 3*t + 10. Calculate the smallest common multiple of c and t.
22
Suppose 3*m - 4 = -4*b + 7*m, -5*b = 3*m - 5. Calculate the smallest common multiple of 8 and b.
8
Calculate the common denominator of (-3 - (-415)/10) + -3 and 97/8.
8
Let t be ((-3)/(1/1))/(-1). Suppose -t*k + 80 = k. Suppose 5*b + k = y + 3*b, -15 = -y + b. What is the lowest common multiple of y and 11?
110
Calculate the common denominator of 210/(-80)*12/(-14) and 119/10.
20
What is the common denominator of ((-556)/(-72) - 0) + -1 and 71/48?
144
Calculate the common denominator of 8/(-32) + 1/(-4) and -1/4.
4
Let v(o) = -o + 2. Let l = -2 + -3. Calculate the lowest common multiple of 10 and v(l).
70
Suppose -d = 2*l - 4*l - 1000, 0 = 5*l - 2*d + 2498. Calculate the common denominator of -11/9 and (-2)/3*l/40.
90
Suppose -2*h - 3*g = -127, 2*g - 234 = h - 5*h. Calculate the smallest common multiple of h and 22.
616
Let k = 50/3 - 22. What is the common denominator of 10/69 and k?
69
Let l = 870154961/632886 + 1/1582215. Let r = l - 1379. What is the common denominator of r and 97/12?
60
Let o = -15 - -25. Let p = o + -12. What is the smallest common multiple of 12 and ((-12)/(-15))/(p/(-15))?
12
Suppose 2*l + 2*i = -2*i + 8, 5*i = -4*l + 1. Let d be l/15 + (-122)/(-5). Suppose 5*w = d + 26. Calculate the lowest common multiple of 14 and w.
70
Let c(q) = q**2 + 2*q + 3. Let r be c(-3). Suppose -z + 3*z = r. Let x = 5 - z. What is the least common multiple of 1 and x?
2
Let r = 5/4 + -1/12. Find the common denominator of r and 56/9.
18
Let m = 6418 + -102721/16. Calculate the common denominator of -59/112 and m.
112
Suppose p + 3*j = -76, -j = p + 3*p + 271. Let t = -112211/61936 + -3/3871. Find the common denominator of (p/2)/(-1 - -11) and t.
80
Calculate the common denominator of 3237/198 + 6/(-33) and -19/4.
12
Let i = -25 - -32. Let d = 2 + 6. What is the lowest common multiple of d and i?
56
Let a = -218/9 - -1382/63. Calculate the common denominator of 97/8 and a.
56
Let q(c) = -c - 2 + 16*c**2 - 2*c**3 - 33*c**2 + 17*c**2. Let u = 4 - 6. Calculate the smallest common multiple of 12 and q(u).
48
Let f(k) = -2*k + 1. Let u be f(10). Let l = -3 - u. Calculate the least common multiple of l and 22.
176
Suppose 8*c - 2*c = -24. Calculate the common denominator of c and -5/4.
4
Find the common denominator of 1 - 1 - 118/(-18) and -36/7.
63
Let d = 174745/14 - 12475. Let f = -1441473/49 + 29419. Let j = -5155/588 + f. Find the common denominator of j and d.
84
Suppose -42 - 24 = -3*o. Calculate the least common multiple of 2 and o.
22
Suppose 4*v - 5*j = 33, -5*v + 15 = j - 2*j. Calculate the common denominator of -47/6 and (-1)/v*(-10)/(-3).
6
Suppose -2*j - 3*x = 9, -29 = 2*j + 5*x - 10. Let z be (-4)/14 - (-32)/14. Let d(o) = 6*o - 2. Calculate the smallest common multiple of j and d(z).
30
Suppose -u = 4*u - 155. What is the least common multiple of u and 3?
93
Let f(c) = -c**2 + 4*c - 1. Let k be ((-8)/5)/((-8)/20). Suppose -k*l + 28 = -4*p, l - 2*p = 18 - 7. What is the least common multiple of 3 and f(l)?
6
Let q = -9820 + 1296247/132. What is the common denominator of q and -27/14?
924
Let g(b) = -b - 1. Let t be g(-3). Suppose 0 = -y - t + 1. Find the common denominator of 57/5 and y/(-4) - (-178)/(-16).
40
Let z = 7 - 5. Suppose z*v = -0*v + 32. Let w(t) = 2*t**2 - 8*t - 8. Calculate the smallest common multiple of v and w(6).
16
Let w be 2 + 1/1 + -1. Suppose -2*d - a + w*a = 807, 2*d = -a - 809. Let n = d + 1201/3. Find the common denominator of -25/6 and n.
6
Suppose 2 = 3*r - 2*r. Suppose 3*o + 22 = 70. Suppose 0 = -r*j + 6*j - o. What is the smallest common multiple of j and 1?
4
Let h be (-156)/20 + (-1)/5. Find the common denominator of -8/9 and 3 + (-1)/h*-74.
36
Let o = 9 + -2. Let w = o + -5. Calculate the smallest common multiple of w and 4.
4
Find the common denominator of 3/(-3)*1 + (-69)/(-48) and 53/18.
144
Let b be (2 + -3)*0 - -7. Let x = b - 5. Calculate the lowest common multiple of 14 and x/(-9) - 56/(-9).
42
Let f = 97302926 - 67433356. Let z = -17772387734/595 + f. Let v = 2/119 + z. Calculate the common denominator of v and 37.
5
Calculate the common denominator of -62/25 and (-2)/(-5) + 584/(-60).
75
Let f = 7657/7184 - 3/898. Let h = 12538/5 + -66397/20. Let o = h + 35613/44. Calculate the common denominator of f and o.
176
Let z be 2/3 - (-11)/(-3). Let g be ((z/(-86))/3)/1. Let s = g - 27/473. Calculate the common denominator of 83/10 and s.
110
Suppose 5*v - 3*x - 5 = 0, -3*v - 3*x = -0*v - 3. Let t(w) = 22*w. What is the smallest common multiple of t(v) and 14?
154
Let s be 2 - 1/((-453)/(-926)). Let m = 695090719 - 3148760934167/4530. Let x = m - s. Calculate the common denominator of x and 85/22.
110
Let p = -6/1181 + 147913/56688. Calculate the common denominator of p and 53/30.
240
Let g = -623/3 + 196. What is the common denominator of -50/3 and g?
3
Let u = 112 + -91. Calculate the least common multiple of u and 27.
189
Let h be (1/4)/(11/88). Let q(t) = -t + 3. Calculate the least common multiple of 11 and q(h).
11
Let f = -2747/2 + 1244. Suppose s = 19 + 108. Let p = s + f. Find the common denominator of p and -101/18.
18
Suppose -2*o + o = 1, o = 4*p - 25. What is the smallest common multiple of p and 2?
6
Let l(a) = 33*a**2 + a. Let w be l(1). Let b = w - 20. Calculate the smallest common multiple of 8 and b.
56
Let r(y) = 3*y + 7. Let x = 18 + -13. Calculate the lowest common multiple of r(x) and 14.
154
Let q(c) = -c**3 - 10*c**2 - 11*c. Let i be q(-9). Find the common denominato | {
"pile_set_name": "DM Mathematics"
} |
ten thousand?
5460000
Round -0.00000200678 to seven decimal places.
-0.000002
What is -0.006767462 rounded to three dps?
-0.007
What is 0.000095881 rounded to six dps?
0.000096
Round 193.668 to the nearest ten.
190
What is -0.00183034 rounded to 4 decimal places?
-0.0018
Round -46397110 to the nearest one hundred thousand.
-46400000
What is -0.000614614 rounded to 6 dps?
-0.000615
What is 0.0036875 rounded to 3 decimal places?
0.004
Round -0.003710314 to 3 decimal places.
-0.004
What is -36016.828 rounded to the nearest one hundred?
-36000
What is 0.0148539 rounded to 3 dps?
0.015
Round -79.3396 to the nearest ten.
-80
Round 12224423 to the nearest one million.
12000000
What is 0.000281481 rounded to 5 dps?
0.00028
What is 88942900 rounded to the nearest one hundred thousand?
88900000
What is -42332350 rounded to the nearest 1000000?
-42000000
What is -0.210682 rounded to two decimal places?
-0.21
Round -313.6886 to the nearest 10.
-310
Round -3.010352 to 3 dps.
-3.01
What is -0.00000459098 rounded to 6 dps?
-0.000005
Round -7.69768 to zero decimal places.
-8
What is 1536514400 rounded to the nearest one million?
1537000000
Round 5864750 to the nearest one million.
6000000
Round -0.0003244325 to 5 decimal places.
-0.00032
Round -297183 to the nearest one thousand.
-297000
Round 17.000446 to the nearest integer.
17
Round 12530.41 to the nearest 100.
12500
Round 0.0000180518 to 5 decimal places.
0.00002
What is 2.289272 rounded to one dp?
2.3
What is -154966 rounded to the nearest 100?
-155000
Round -0.25223 to 1 decimal place.
-0.3
What is -3670.38 rounded to the nearest one hundred?
-3700
What is -0.388 rounded to the nearest 10?
0
Round -0.001068646 to six decimal places.
-0.001069
What is 7289815 rounded to the nearest ten thousand?
7290000
Round -0.2112051 to three decimal places.
-0.211
What is -144587.32 rounded to the nearest 1000?
-145000
What is 5611174 rounded to the nearest ten thousand?
5610000
Round 218155.01 to the nearest 100.
218200
Round -0.0144402 to 2 decimal places.
-0.01
Round 263.55257 to 1 decimal place.
263.6
Round -5.539902 to one dp.
-5.5
Round 1033084.2 to the nearest one thousand.
1033000
Round -0.0006086061 to six decimal places.
-0.000609
What is -17099400 rounded to the nearest 100000?
-17100000
What is 35657 rounded to the nearest one thousand?
36000
What is -11108040 rounded to the nearest ten thousand?
-11110000
What is -0.03198011 rounded to three decimal places?
-0.032
What is -2.412494 rounded to 2 dps?
-2.41
What is 0.000038913423 rounded to five dps?
0.00004
Round 0.38935 to one dp.
0.4
Round -2684.625 to the nearest 100.
-2700
What is 1909770 rounded to the nearest ten thousand?
1910000
What is -0.0004039471 rounded to 5 decimal places?
-0.0004
Round -359.4347 to the nearest 10.
-360
What is 1593870 rounded to the nearest one hundred thousand?
1600000
What is 61665.022 rounded to the nearest 100?
61700
Round -0.000005991839 to six decimal places.
-0.000006
What is -353566.64 rounded to the nearest 10000?
-350000
What is -184559.8 rounded to the nearest 100?
-184600
What is -64098100 rounded to the nearest 100000?
-64100000
Round -45402.16 to the nearest ten.
-45400
What is 0.11712798 rounded to four dps?
0.1171
Round -75.74712 to the nearest integer.
-76
Round 667295000 to the nearest one million.
667000000
Round -1101.54 to the nearest integer.
-1102
What is -6.87195 rounded to 2 dps?
-6.87
What is 0.0844517 rounded to 4 dps?
0.0845
What is -601.5013 rounded to the nearest 100?
-600
What is 863.779 rounded to the nearest 10?
860
What is -2.8363101 rounded to two dps?
-2.84
Round -0.924114 to three dps.
-0.924
What is -1628952.09 rounded to the nearest 10000?
-1630000
What is -11.856449 rounded to one decimal place?
-11.9
Round -82025400 to the nearest one hundred thousand.
-82000000
What is 342100 rounded to the nearest 1000000?
0
Round -66.4866 to zero decimal places.
-66
Round -0.00606863 to 5 dps.
-0.00607
Round 231455000 to the nearest 1000000.
231000000
What is -2203.8 rounded to the nearest one thousand?
-2000
Round -0.0000970395 to five dps.
-0.0001
Round -364100.8 to the nearest 100000.
-400000
Round 15.468611 to one dp.
15.5
Round 0.0195128 to 3 dps.
0.02
What is -0.0972906 rounded to 3 dps?
-0.097
Round 0.00000195388 to 7 decimal places.
0.000002
Round 33046730 to the nearest 1000000.
33000000
What is -0.234964 rounded to four decimal places?
-0.235
What is -37224020 rounded to the nearest one million?
-37000000
What is 0.00011532 rounded to 3 dps?
0
Round 126807.23 to the nearest one thousand.
127000
What is -3040.18 rounded to the nearest ten thousand?
0
What is -35169.97 rounded to the nearest 100?
-35200
Round 5.0152 to the nearest 10.
10
Round 51.744 to the nearest integer.
52
What is 1518.5146 rounded to the nearest 10?
1520
Round 11431.112 to the nearest 1000.
11000
What is -0.0019231218 rounded to four decimal places?
-0.0019
What is -2.846039 rounded to the nearest integer?
-3
What is -68921.17 rounded to the nearest ten thousand?
-70000
What is 39231.9 rounded to the nearest 100000?
0
Round -508281 to the nearest one hundred thousand.
-500000
Round 959217.1 to the nearest one million.
1000000
What is 26300.843 rounded to the nearest 1000?
26000
What is 3.24994 rounded to two decimal places?
3.25
What is -114.138 rounded to zero dps?
-114
Round 3419861.7 to the nearest 1000.
3420000
Round -0.031227748 to four decimal places.
-0.0312
Round 0.000034229 to four dps.
0
What is -0.00001833589 rounded to seven decimal places?
-0.0000183
Round -0.0001670211 to six decimal places.
-0.000167
What is -0.00749201 rounded to 3 decimal places?
-0.007
What is -217058.9 rounded to the nearest 1000?
-217000
What is 11702850 rounded to the nearest 1000000?
12000000
Round 29794.047 to the nearest one hundred.
29800
Round 498.1867 to the nearest one hundred.
500
What is 0.0012447935 rounded to 4 decimal places?
0.0012
What is -57001.04 rounded to the nearest ten thousand?
-60000
Round 0.023455965 to three decimal places.
0.023
What is 19.0471 rounded to the nearest 10?
20
What is -0.00009542017 rounded to six decimal places?
-0.000095
What is -0.00066692 rounded to five dps?
-0.00067
Round -1370.42 to the nearest one hundred.
-1400
What is -404.1601 rounded to the nearest ten?
-400
Round 626846500 to the nearest 1000000.
627000000
What is 267759.19 rounded to the nearest 10000?
270000
What is 7871.9 rounded to the nearest one thousand?
8000
Round -170.62 to the nearest integer.
-171
What is -0.000010767135 rounded to 7 dps?
-0.0000108
Round 37105930 to the nearest one million.
37000000
What is 5138623 rounded to the nearest 10000?
5140000
Round -3772228600 to the nearest one million.
-3772000000
What is 244.8855 rounded to the nearest one hundred?
200
What is -0.00059093712 rounded to five decimal places?
-0.00059
What is -7.239319 rounded to three dps?
-7.239
Round 1.2614564 to two decimal places.
1.26
What is 0.0000122671 rounded to seven decimal places?
0.0000123
Round 1920003 to the nearest ten thousand.
1920000
What is -72121.96 rounded to the nearest one thousand?
-72000
What is 374500800 rounded to the nearest one hundred thousand?
374500000
What is -0.00335337 rounded to 4 decimal places?
-0.0034
Round -0.0118563322 to 4 decimal places.
-0.0119
What is -84.3419 rounded to the nearest integer?
-84
What is -0.169126 rounded to four decimal places?
-0.1691
Round -352815.4 to the nearest 10000.
-350000
What is 110776.284 rounded to the nearest 100?
110800
What is -0.017305 rounded to 2 dps?
-0.02
What is 293.79 rounded to the nearest ten?
290
What is 0.00008189983 rounded to 5 dps?
0.00008
Round -0.0000156639 to seven decimal places.
-0.0000157
Round -0.0002765983 to six dps.
-0.000277
What is -0.00642224 rounded to 3 dps?
-0.006
What is 54676.1 rounded to the nearest ten thousand?
50000
What is -10.36345 rounded to 2 dps?
-10.36
Round 0.04580414 to three dps.
0.046
What is -1139441 rounded to the nearest ten thousand?
-1140000
Round 97.833 to the nearest 10.
100
Round 0.46208628 to 3 decimal places.
0.462
What is 125555 rounded to the nearest one thousand?
126000
Round 144528 to the nearest one thousand.
145000
Round 14843.02 to the nearest ten.
14840
What is 0.0001870558 rounded to 5 dps?
0.0 | {
"pile_set_name": "DM Mathematics"
} |
39 in a, r, -4?
a
Let o = -17016/35 - -3406/7. Which is the nearest to -11/2? (a) 0 (b) o (c) -0.5 (d) 2
c
Let h = -0.3 - -0.4. Let g = 898.7 - 959. Let l = g + 60. Which is the nearest to 1/2? (a) -3 (b) h (c) l
b
Let z = -0.02072 + 0.12072. Which is the closest to -1? (a) -1/15 (b) -0.9 (c) 1/6 (d) z
b
Let n = -1.01277 - -0.01277. Which is the closest to -2/7? (a) 3 (b) -3 (c) n (d) 2/7
d
Let v = 5.3 - 5.5. Let s = -1 - -7. Let g be (63/42)/(s/16). Which is the closest to v? (a) -2 (b) -6 (c) g
a
Let u = 87151/19 - 4587. Let d be 1*-6*(-1 + -1). Suppose 0 = 2*q + 5*w - d, 2*w - 4 + 0 = 0. Which is the closest to q? (a) u (b) -2/13 (c) 10
a
Let s(r) = 33 - 6*r + 30 - 14. Let p be s(9). Which is the closest to 1? (a) 1 (b) p (c) 8
a
Let q = 270.8 - 271.1. Let f = 8 + -8.1. Which is the closest to 1? (a) 6 (b) 1/6 (c) f (d) q
b
Let r = 21.78 + -21.58. Which is the closest to 0.3? (a) -0.2 (b) r (c) 9
b
Let m be (-4)/(-54) + 37100/45900. What is the closest to m in 5, 4, -3?
4
Let n = -0.3 - 0.2. Let h be 5*(2898/(-115) - -25). What is the closest to 0 in n, -8, h?
n
Let j = -34.61 + 34.91. What is the nearest to j in 1, 6/17, 0.4?
6/17
Let m = 612/5 - 122. Let x be 670/20 - (-24)/(-16). Which is the closest to -2/7? (a) m (b) x (c) -3
a
Let f be (4/(-5))/((-402)/130 + 3). Let m = f + -37/3. What is the closest to m in 3, -2, -0.3?
-2
Let h = 204 + -1432/7. Suppose 3 = 5*t + 2*b + 25, -2*t - b - 9 = 0. What is the nearest to 3 in t, h, 5?
5
Suppose 18*l - 8*l = 20. Let i = -2.1 - -2.5. Which is the closest to i? (a) l (b) -0.2 (c) -0.4
b
Let v be 6 - 13/(13/(-2)). Let p be (v/(-48))/((-1)/6). What is the closest to 20 in 0, 0.3, p?
p
Suppose 3*o + 3 = z - 0*z, -65 = -3*z - 5*o. Let s be (-1)/(-1) + z/(-12). What is the nearest to 0.1 in s, -0.4, -1/3?
s
Let y be 1332/(-56) + -32 + 56. What is the closest to -1 in 2, y, -1/14, 3/4?
-1/14
Suppose 6*s + 12 = 7*s - 3*l, -57 = -3*s + 2*l. Let q = 13 + -7. Let u be ((-35)/s)/((-2)/q). What is the closest to -15 in -1/3, -0.4, u?
-0.4
Let g = 3467/2 - 1733. Suppose 3*p - 15 = 4*p - 4*w, -2*p = 4*w - 6. Let x be (p/10)/(7 + -10). Which is the nearest to -2? (a) g (b) x (c) -4
c
Let t = -5019 + 5020. Which is the closest to -2/9? (a) 2/7 (b) 0.07 (c) 0.5 (d) t
b
Suppose 0 = 123*l + 67*l + 306*l - 1984. Let h = 13.2 + -12. Let d = 0.2 - h. What is the nearest to d in 0.3, l, 1?
0.3
Let g = 3623 + -54347/15. Which is the closest to 0? (a) 0.4 (b) g (c) 72/7
b
Let k = -7.01 - -7.1086. Let c = k - 6.0986. What is the closest to 1/7 in 0, -1/10, c?
0
Let u = -332.0573 + 0.0573. Let l = u - -332.1. Let s = 0.5 + -1. What is the nearest to 0.3 in l, -1/9, s?
l
Let j = -21 + 21.4. Let q = 29.7 - 0.7. Let k = q - 28.4. What is the closest to k in -3, -0.1, j?
j
Let j = 33/2 + -17. Let w = -2.4 + 2. Let k = -5686 - -5686. Which is the nearest to -3/2? (a) k (b) j (c) w
b
Suppose 2*s + 22 = -2*r - 2*s, 17 = 3*r - 4*s. Let x be 10/(-3) + (22/(-33) - r). Which is the nearest to 2/9? (a) x (b) 3/5 (c) 0.2
c
Let y be 1/5 + (-51)/(-170). Let x be (-3)/(-3) - (-1 + -16). Which is the closest to y? (a) x (b) 5 (c) -1/6
c
Let r be 5/20*-2 - 1. Suppose -26*l - 24 = 26*l - 54*l. Which is the closest to -0.1? (a) l (b) r (c) -3 (d) 0.2
d
Let s(q) = 3*q**2 - 123*q - 690. Let k be s(-5). What is the closest to k in -4, 1.5, -0.028?
-0.028
Let h = 499 + -455. Let d be 3/(-9) - 1864/6. Let i be (-8)/h - (d/(-407) + -1). What is the nearest to 2 in 0.5, i, -0.4?
0.5
Let i = -24 - -23. Let n = -0.7286 + 0.7246. Which is the closest to i? (a) n (b) -1/6 (c) -5
b
Let m = -13354 + 13385. Which is the closest to -1/3? (a) -1/9 (b) m (c) 0.5 (d) 1
a
Let i = 209.08 - -31.82. Let g = -241 + i. Which is the closest to 3/10? (a) -1/3 (b) g (c) 0
c
Let q = 260 - 257. Suppose q = -t - g, 1 = -6*t + 3*t + g. Which is the closest to 0? (a) 6 (b) -5 (c) t
c
Suppose 12 = -70*a + 72*a, -4*a = -c - 20. What is the nearest to 0.2 in 5, -0.5, c, 0.05?
0.05
Let n = -7.72 - -7.42. What is the closest to -1/4 in -3, n, 14?
n
Let h = 6962 - 6958. What is the closest to -1/3 in 20, -3, -0.2, h?
-0.2
Let k = -866 - -866.06. What is the nearest to -2 in -7, k, -1?
-1
Let i = -0.3 - -0.2. Let h = 140739 + -140735. Which is the closest to i? (a) h (b) 117 (c) -1/2
c
Let i = -74.4 + 73.4. Which is the closest to 4? (a) -4/5 (b) 2 (c) 5 (d) i
c
Let a = -0.2543 + 4.2543. Let t = 3.1 - 3. What is the nearest to t in -0.2, 0.11, a, 1/8?
0.11
Let z = -5134 + 5129. Let i be -2 - (-46)/42 - -1. Which is the closest to 0.7? (a) z (b) 2 (c) i
c
Let c = 1757/9 + -195. Let v = 0.03 + 0.17. Let b = 4.4 + -2.4. What is the nearest to v in c, b, -1?
c
Let p = -0.21 - 0.33. Let h = p - -0.14. Let d = 645 + -640. Which is the closest to 0? (a) d (b) h (c) 0
c
Let r = 3.2 + -2.8. Let w = -0.08 - -5.08. Let g be (-18)/117 + 63/156. Which is the closest to g? (a) -10 (b) r (c) w
b
Let p(w) = 40*w**2 - 33*w - 3. Let t be p(1). Which is the nearest to -1/3? (a) t (b) 9 (c) 0.5
c
Let j = -4.81784 - 0.18216. Let x be 0 + (2 - (-1)/(-2)). Let u = -2.6 - -2.2. Which is the closest to 1? (a) u (b) x (c) j
b
Let z = -14/3 - -151/33. Let f be (-3)/2 + 97686/(-70148) - -3. Let g = -2/923 + f. Which is the closest to -2/7? (a) g (b) 0 (c) z
c
Let i = -0.363 + 0.377. Let o = i - 0.214. Which is the closest to 1? (a) -51 (b) 4 (c) o
c
Let p be (3/2)/(42/8). Suppose -m = h + 3, -4*m = -2*h - 4 + 28. Suppose 0 = -4*v + h*k - 6, -2*k + 12 - 6 = 0. Which is the closest to v? (a) 1 (b) 0 (c) p
b
Let x = 6 - 4. Let k be (-396)/54 - (4/(-6))/x. Let w = 46 - 136/3. Which is the closest to w? (a) 2/11 (b) k (c) -0.5
a
Let p = -34.1 - -29.1. What is the nearest to 1.7 in 0.2, p, -0.2?
0.2
Let p = -0.18795 + -0.01205. Which is the closest to -2/331? (a) p (b) -0.3 (c) -3
a
Let j = -0.01387 - 0.48613. What is the nearest to 0.2 in -1, j, -0.094?
-0.094
Let r(x) = 5*x - 5. Let p = -32 + 36. Let m be r(p). Let j = 91/6 - m. What is the closest to 0.2 in 2, j, -1?
j
Let r = 1948/15 - 646/5. Which is the closest to -14? (a) 4 (b) 0.5 (c) r (d) 0.1
d
Let q = 256.82 + -256.92. Which is the closest to -4? (a) q (b) 13 (c) -1.6
c
Let n = 0.12 - 5.12. Let h = 39060 - 39059. Which is the closest to h? (a) n (b) -0.8 (c) -4
b
Let j = -0.269 + -0.031. Let u(b) = b - 18. Let l be u(12). Let r be (l/15)/(12/10). What is the nearest to 2/3 in 1/20, j, r?
1/20
Let j = -1.9 - -6.3. Let x = 116.6 - 110.2. Let p = j - x. Which is the nearest to 0? (a) -1/8 (b) p (c) 6
a
Let r(z) = 4*z**3 + 10*z**2 - 2. Let h be r(-4). Let u = h + 97. Let n = -20.2 + 20.1. What is the nearest to n in -0.1, -0.2, u?
-0.1
Let h = -129 + 252. Let t = h - 128. What is the nearest to t in -4, -6/7, 0.2?
-4
Let h = 2549.5 - 2580. Which is the nearest to h? (a) -2/15 (b) 1 (c) -0.4
c
Let u = 5611/12 - 1402/3. Which is the closest to 0.2? (a) 17/6 (b) u (c) -5 (d) -3
b
Let m = 0 + 0. Let x = 17.34 + -1.14. Let v = 16 - x. What is the closest to m in 0.3, v, 2/21?
2/21
Let z = -0.05 + 0.35. Let l = -93.013 - -0.013. Let d = l + 92.8. What is the closest to d in 0.06, z, -1/4?
-1/4
Let k(t) = 25*t + 82. Let y(x) = -17*x - 55. Let s(l) = -5*k(l) - 7*y(l). Let w be s(-11). Let f = -45 + w. Which is the closest to -2/3? (a) f (b) -3 (c) -1
c
Let d = 10 + 0. Suppose -6*q = -4*q + d. Let s be (q/120*4)/((-1)/(-2)). Which is the nearest to -1? (a) s (b) -0.3 (c) -12
a
Let d = -112.5727 + 107.634. Let o = d - 0.0613. Which is the nearest to -1/6? (a) 0.5 (b) 2 (c) o
a
Let t be (703/76 - 9)*(-3)/3. Which is the nearest to t? (a) 0.4 (b) -36 (c) 7/6
a
Suppose 5*o + 26 = 3*r, 0*r - 4 = 2*r + 2*o. Let g = -7/2 - -4. Let c be (8/40)/(7/(-140)). What is the nearest to c in g, 4/5, r?
g
Let z = 134 - 131. Suppose 2*p + 16 = 7*p + 3*r, 5*p - z*r - 4 = 0. Which is the closest to -2/9? (a) -2 (b) -1/9 (c) p
b
Let m = 190.69 - 188.69. What is the nearest to -1/3 in 1, m, -5/6, -2?
-5/6
Let n = -79/5 - -16. Let x = 994 + 450. Let r = -1441 + x. Which is the closest to 3? (a) r (b) -2/13 (c) n
a
Let l = -0.9 - -7. Let o = 4.1 - l. Let g(v) = 3*v + 74. Let t be g(-25). Which is the closest to t? (a) 33 (b) -4 (c) o
| {
"pile_set_name": "DM Mathematics"
} |
(b) -2/9 (c) x
a
Let k = -0.1139 - -0.0139. Which is the fourth biggest value? (a) k (b) 1 (c) 14 (d) -0.3
d
Let t = -0.1 - -0.3. Let b = t - -0.2. Let k = 3707/2 - 1856. What is the second smallest value in 5, k, b?
b
Suppose 14 + 6 = 4*s. Let d(y) be the third derivative of -y**5/60 + 7*y**4/24 + 3*y**3 + 7*y**2. Let o be d(9). What is the third smallest value in o, s, 0.5?
s
Let x = -14 - -27. Suppose -2*v = 5*l - x, 0 = 2*v - 3*v + 5*l - 31. Which is the second smallest value? (a) v (b) -5 (c) 2/9
b
Let h = 11 + -15. Let m be 5/(295/(-30) - -9). Which is the second smallest value? (a) 2/5 (b) -0.2 (c) m (d) h
d
Let w be (-5)/((-525)/(-282)) - (-7 - -4). Let q = -2/105 - w. What is the third smallest value in -0.5, 5, q, 4?
4
Let m be 4996/6*(-1)/6. Let l = m + 139. What is the fourth smallest value in l, 0.2, -5, -2/7?
l
Let i = -6 - -1. Let v = -0.0053 - 0.4947. Which is the biggest value? (a) -1 (b) i (c) 5 (d) v
c
Let x = -12 - -28. Let g be (-1 + 0)/(72/x). Which is the third smallest value? (a) 3 (b) -4 (c) g
a
Suppose -4*d = -4*z - 2*d - 190, 2*z - 5*d = -91. Let f = 46 + z. Which is the third smallest value? (a) -11/2 (b) -0.2 (c) f
b
Let q = -17 - -17. Suppose 4*n + n = 15. Suppose -3*g - 23 = -n*d + 13, 2*d - 5*g - 36 = 0. Which is the smallest value? (a) 2/7 (b) d (c) q
c
Let p = -3 + 2.8. Let n be (-5)/50 - 9/10. Which is the second smallest value? (a) -2 (b) p (c) n (d) 1/6
c
Let t = -139.1 + 139. Which is the third smallest value? (a) 3/5 (b) t (c) -4/7 (d) 0.01
d
Suppose 2*h = 110 - 112. What is the second smallest value in -1/6, 27/28, h?
-1/6
Suppose -15 + 7 = 4*s. Let z(n) = n**2 - 1. Let g be z(s). Let i = 11.472 - 11.472. Which is the biggest value? (a) g (b) i (c) -3
a
Let y = 0.158 + -1.288. Let h = 0.13 + y. Which is the third biggest value? (a) 7 (b) -2 (c) h (d) 4
c
Let f(p) = -9*p + p**2 - 2*p + p**2 - 15 - 6. Let m be f(15). Let w = 1845/7 - m. Which is the second smallest value? (a) w (b) -0.2 (c) -1/6
b
Let n = 0.798 - 0.398. Let t = 23.3 - 23. What is the fourth smallest value in n, t, -0.4, -4?
n
Let y = 13.97 + -14. Let w = y - -0.04. Let x = -0.19 - w. Which is the second biggest value? (a) 2/3 (b) x (c) 2
a
Let t be (-51)/119 + 10/(-42). Let r = -1 + 1. What is the smallest value in t, 2/19, r?
t
Let k be 1 + (-3 - (1 - 2)). Let z be (-1 - k) + ((-15)/(-25))/(-1). Which is the fourth smallest value? (a) z (b) -1 (c) 1/5 (d) -1/5
c
Suppose -3*h + 2*l - 14 = 2*h, -4 = 5*h + 3*l. Which is the biggest value? (a) h (b) -0.3 (c) -3
b
Let j = 5.3 + -0.3. Let t = 68.5 - 69. Which is the smallest value? (a) t (b) -3 (c) j (d) -5
d
Let s be (-5)/15 + 12/(-45). Which is the fourth smallest value? (a) s (b) -0.5 (c) -3 (d) -1/4
d
Let t = -9/58 - 39/29. What is the second biggest value in t, 5, 0.06, 3?
3
Let p = 5/2 - 47/18. Which is the third biggest value? (a) p (b) 0.04 (c) -0.2
c
Let g = 0.29 + -0.2. Let h = -5.05 - -4.65. What is the biggest value in g, h, -0.2?
g
Let u = -765.5 + 765. Which is the second smallest value? (a) -5 (b) u (c) 2/99
b
Let m be ((-2)/(-4))/((-1)/(-28)). Suppose 1 = 3*z - m. Suppose 2*j + 2 = 0, z*y + 2*j + 27 = -0*y. Which is the third biggest value? (a) -1/7 (b) 4 (c) y
c
Let k = -24 + 348. What is the fourth smallest value in -1, k, -0.1, 3?
k
Let j be (-2)/(-4) - (-26)/(-20). Suppose 3*a - 55 + 7 = 0. Let g be ((-20)/16)/(2/a*2). What is the second biggest value in j, g, 1/6?
j
Suppose 3*m = 4*j - 28, j - 9 - 3 = 2*m. Let v be 56/20 + 2 + -4. What is the smallest value in 2, j, v?
v
Suppose u = 3*u + 4. Let o = -0.0846 - -3.0846. Which is the third smallest value? (a) 9 (b) u (c) 5 (d) o
c
Let d = -157.3 + 124. Let j = d + 33. Which is the smallest value? (a) j (b) -1/2 (c) -5
c
Let g = -0.1156 - 0.1844. Which is the third biggest value? (a) g (b) 10 (c) -1/6
a
Let u = -5 + 32. What is the smallest value in u, -2/9, -4/7, 3?
-4/7
Let c be 10/(0 - -2) - 7. Suppose l - 5 = -2. What is the second smallest value in c, l, -4?
c
Let v = 107/195 + -3/5. Let u = v - -92/273. Which is the smallest value? (a) -2 (b) u (c) 0.6
a
Let s = 107 + -75. Let l = 34 - s. Which is the second biggest value? (a) 3 (b) 2/9 (c) l
c
Let b = -61 - -306/5. Suppose 0 = -0*s + 10*s. Suppose -3*h = -x + 5, s = 2*h - 3*h - 1. What is the second smallest value in b, x, -4?
b
Let r be (6/(-9) + 1)*(7 - 4). What is the second biggest value in r, 22, -4?
r
Let l(y) = -68*y + 204. Let t be l(3). Which is the biggest value? (a) 0.2 (b) t (c) 3/8 (d) 1
d
Let t = -0.8 + 0.5. Let s = 9882/13 - 9061820/11921. Let i = -1856/10087 - s. Which is the smallest value? (a) 0.1 (b) t (c) i
b
Let k = -261.24 + 256. Let g = -0.24 - k. What is the third smallest value in 0.03, -2, g?
g
Let y be (-273)/126 + (-2)/12. Which is the smallest value? (a) 1/3 (b) -1/2 (c) y
c
Let r = 7/2 + -1. Let a = -82/11 + 290/33. What is the second biggest value in r, a, -4?
a
Let d = -0.0182 + -0.1818. Which is the biggest value? (a) -2 (b) 2/3 (c) d
b
Let d = -0.344 - 0.056. What is the second biggest value in 3, -0.2, d, -51?
-0.2
Suppose 4*o = 344 + 344. Suppose 3*r - 3*s - 339 = -r, -2*r = -4*s - o. Let g = r - 177/2. Which is the second biggest value? (a) g (b) 0.2 (c) -1
c
Let n = -22.0451 - -0.0451. What is the biggest value in 4, n, 0.01, -5?
4
Let s = 31 + -45. Let v be ((-4)/s)/(18/(-14)). What is the smallest value in 5/4, v, 3/4, -8?
-8
Let s = 1579 + -1576. Let k = 2 + -4. Let h be (-1)/k + (-5)/18. Which is the biggest value? (a) s (b) h (c) 2/5
a
Let u = -347 + 351. What is the smallest value in u, 0.1, 10, 0.4?
0.1
Let l = 1099 + -1096. Which is the fourth smallest value? (a) -5 (b) 4 (c) 1.4 (d) l
b
Let z = 0.1 + -3.6. Let u = z - -3.7. What is the biggest value in 4, -10, u?
4
Let q = -0.0328 + 14.0328. What is the third smallest value in q, -0.2, 4?
q
Let s(f) be the first derivative of -f**4/4 - f**3 + 5*f**2/2 + f - 2. Let l be s(-4). Which is the second biggest value? (a) 4 (b) l (c) -1/3
c
Let o = -0.308 - 5.692. What is the biggest value in 1/14, o, -2?
1/14
Let u = -2.093 - 0.497. Let s = u - -2.69. Let a = 3/94 + 135/188. What is the second smallest value in s, -0.4, a?
s
Let g(r) = r + 32. Let y be g(-40). Which is the third biggest value? (a) 3/11 (b) y (c) -5 (d) 0
c
Suppose 0 = 7*m - 18*m + 33. Let h be (-3 + m)/4 + 3. What is the biggest value in -5, -0.11, h?
h
Suppose -5*o + 7 = 4*g, 2*g - 2*o - 26 = -0*g. Suppose k = -k + g. Let f = 327 - 2939/9. Which is the second smallest value? (a) k (b) 2/7 (c) f
c
Let z = -906.5 + 907. What is the fourth biggest value in z, 0.4, 1/4, 6?
1/4
Let n = -2905 - -2905.1. Let v = 3/2 - 17/10. What is the fourth smallest value in -5, n, v, -0.7?
n
Let x be (-16)/(-3)*3/2. Suppose 2*v + 23 = -6*w + w, -v + x = -4*w. Let h be 4/(-18) + (-114)/(-27). Which is the second biggest value? (a) h (b) w (c) 0.4
c
Let l = 0.2 - -0.3. Let m = 19558 - 19558. What is the biggest value in l, m, 3, -4?
3
Let l = 0.462 + 0.038. Let s = 1 + 4. Which is the fourth biggest value? (a) 0.8 (b) -5 (c) s (d) l
b
Let i be (-1 - -2)*6 + (-14 - -12). Let q = 0.1 + -0.1. Which is the third smallest value? (a) 1/2 (b) 3 (c) q (d) i
b
Let s be -1*(-3)/36*-2. Let t = -0.29 - 64.71. Let n = t + 61. Which is the third biggest value? (a) 0 (b) n (c) s
b
Let v(h) = h**3 - 39*h**2 - 34*h - 230. Let k be v(40). Let s = -3 + 2. Which is the third smallest value? (a) s (b) -1/4 (c) k (d) 0
d
Let t = 182 - 181.95. What is the second biggest value in t, 11/7, 2/5?
2/5
Let j = 651.8 + -653. Let l = -2 + -1. Which is the second biggest value? (a) l (b) j (c) 0.4
b
Let s = 5 - 5.3. Suppose -2*g + 5*w - 4 = 7, -5*g - 2*w + 16 = 0. Suppose g = -5*l + 3*l. Which is the biggest value? (a) l (b) -3 (c) s
c
Let l = 0.0142 + -4.1842. Let k = -4 - l. Which is the third biggest value? (a) k (b) -0.5 (c) -5
c
Suppose m + 7 = -m - w, -2*m = 5*w + 11. Let r = -335 - -2342/7. Which is the smallest value? (a) r (b) m (c) 1
b
Let s = -10 + 34. Let p = 28 - s. Which is the third biggest value? (a) -1 (b) -3/5 (c) p
a
Let u = -7/5 - -72/55. Let k = 26.5 + -27. What is the biggest value in k, -2/ | {
"pile_set_name": "DM Mathematics"
} |
hat comes next: -233, -248, -265, -284, -305?
-328
What comes next: -168, -162, -156, -150?
-144
What is the next term in -14, 5, 42, 103, 194, 321?
490
What comes next: -659, -668, -689, -728, -791, -884, -1013, -1184?
-1403
What comes next: -5, -18, -25, -20, 3, 50?
127
What is the next term in 127, 250, 373, 496?
619
What is the next term in -14626, -14624, -14612, -14584, -14534, -14456, -14344?
-14192
What is next in -160, -172, -208, -280, -400, -580?
-832
What is the next term in 248, 479, 702, 917, 1124, 1323?
1514
What is next in 42, 87, 136, 195, 270, 367?
492
What is the next term in -1507, -1519, -1545, -1591, -1663, -1767?
-1909
What comes next: -53, -108, -165, -224, -285?
-348
What is the next term in 1336, 2669, 4002?
5335
What is next in -21236, -42470, -63714, -84974, -106256, -127566, -148910?
-170294
What is the next term in 1073, 1045, 1005, 947, 865, 753?
605
What comes next: 14, 117, 288, 527, 834?
1209
What is the next term in -12, -20, -26, -24, -8, 28, 90, 184?
316
What is next in 43, 36, 11, -44, -141, -292, -509?
-804
What is the next term in 12, 29, 56, 93, 140, 197?
264
What is next in 21, 103, 185, 267?
349
What is next in -326, -672, -1004, -1316, -1602, -1856?
-2072
What comes next: -21, -51, -93, -153, -237, -351?
-501
What is next in -13, -34, -55, -76, -97, -118?
-139
What is the next term in 17, 60, 131, 230?
357
What is the next term in 268, 257, 246?
235
What is next in 6542, 13084, 19626, 26168, 32710?
39252
What comes next: -173, -160, -133, -86, -13, 92?
235
What is next in 69, 78, 93, 114?
141
What comes next: 43, 71, 115, 181, 275, 403?
571
What comes next: -1495, -1496, -1497, -1498?
-1499
What is the next term in 13914, 13906, 13884, 13842, 13774?
13674
What comes next: 31, 130, 229, 328, 427, 526?
625
What is next in -142, -290, -450, -628, -830, -1062, -1330, -1640?
-1998
What comes next: 37, 73, 107, 139?
169
What is next in -287, -572, -857?
-1142
What is next in 11, 15, 7, -19, -69, -149, -265, -423?
-629
What comes next: -2, 21, 40, 55, 66?
73
What is the next term in 27, 56, 123, 246, 443, 732, 1131?
1658
What comes next: 28, 32, 42, 58, 80, 108, 142?
182
What is next in -78, -155, -230, -303, -374, -443?
-510
What is next in -17, 30, 195, 538, 1119, 1998, 3235, 4890?
7023
What is the next term in 3928, 3925, 3920, 3913, 3904, 3893, 3880?
3865
What is the next term in -290, -583, -874, -1163?
-1450
What is next in -188, -673, -1492, -2651, -4156, -6013?
-8228
What comes next: 264, 263, 262, 261, 260?
259
What is next in 129, 530, 1207, 2166, 3413, 4954, 6795, 8942?
11401
What comes next: -46, -30, -14, 2?
18
What is the next term in -25, -105, -247, -457, -741?
-1105
What is next in 819, 821, 825, 831, 839, 849, 861?
875
What is next in -16, -17, -22, -31, -44?
-61
What is next in 18, 23, 50, 111, 218, 383, 618?
935
What comes next: 30, 54, 80, 108, 138?
170
What comes next: -2178, -4357, -6536, -8715, -10894, -13073?
-15252
What is next in 524, 521, 516, 509, 500, 489, 476?
461
What comes next: 686, 2739, 6170, 10985, 17190, 24791, 33794?
44205
What is next in -5, -27, -63, -113, -177?
-255
What comes next: 232, 527, 874, 1267, 1700, 2167, 2662, 3179?
3712
What is the next term in -134, -254, -376, -506, -650, -814, -1004, -1226?
-1486
What is next in 272, 1141, 2596, 4643, 7288, 10537, 14396, 18871?
23968
What is the next term in -30, -34, -38?
-42
What is next in -3375, -3372, -3369, -3366?
-3363
What is the next term in -341, -344, -347, -350, -353?
-356
What is next in -13, 12, 59, 134, 243?
392
What is next in -1390, -2888, -4400, -5932, -7490, -9080?
-10708
What is next in -34, -27, -20, -13, -6, 1?
8
What is next in -67, -111, -199, -343, -555, -847, -1231?
-1719
What is next in -7, 6, 35, 80, 141, 218?
311
What comes next: -13, -31, -43, -43, -25, 17, 89?
197
What comes next: -140, -579, -1310, -2333, -3648, -5255?
-7154
What is the next term in 123, 246, 369, 492, 615?
738
What is the next term in 11980, 23960, 35940, 47920, 59900, 71880?
83860
What comes next: -43, -65, -85, -103?
-119
What is next in 49, 97, 145, 193?
241
What is the next term in -180, -1503, -5118, -12171, -23808, -41175, -65418?
-97683
What is next in 101, 194, 299, 410, 521?
626
What is the next term in -48, -70, -68, -42, 8, 82?
180
What is the next term in 7778, 7777, 7776?
7775
What comes next: -1173, -1206, -1241, -1278, -1317, -1358?
-1401
What is next in -299, -303, -317, -347, -399?
-479
What comes next: -63, -121, -181, -243, -307?
-373
What comes next: -6, -9, -14, -21, -30?
-41
What comes next: -64, -49, -16, 41, 128, 251, 416?
629
What is the next term in -13, -83, -199, -361, -569?
-823
What is next in 118, 233, 348, 463, 578, 693?
808
What is the next term in 143, 222, 303, 392, 495, 618, 767, 948?
1167
What comes next: -14, -37, -60, -83, -106, -129?
-152
What is the next term in 119, 226, 307, 350, 343?
274
What is the next term in 112, 134, 182, 268, 404, 602, 874?
1232
What is the next term in 15, 105, 351, 831, 1623, 2805, 4455, 6651?
9471
What comes next: -4, 20, 78, 188, 368?
636
What is next in -25, -22, -11, 8, 35?
70
What comes next: -1, -10, -31, -70, -133?
-226
What comes next: -12, -47, -132, -291, -548, -927, -1452?
-2147
What is the next term in 56, 101, 140, 173, 200, 221, 236?
245
What comes next: 31644, 31636, 31614, 31572, 31504, 31404, 31266?
31084
What is next in 134, 125, 114, 101, 86, 69, 50?
29
What is next in -12, -29, -72, -153, -284, -477?
-744
What comes next: 17, 62, 135, 236?
365
What is next in 13, 27, 43, 61, 81?
103
What is the next term in 47, 39, 31, 23?
15
What is the next term in 42, 54, 64, 72, 78?
82
What comes next: -11, -24, -23, -2, 45?
124
What is the next term in -43, -324, -1085, -2566, -5007, -8648, -13729, -20490?
-29171
What is the next term in 27, 21, 1, -39, -105?
-203
What is next in 6, 6, -2, -24, -66, -134, -234?
-372
What comes next: 18, 68, 162, 306, 506?
768
What is the next term in 277, 273, 269, 265, 261, 257?
253
What is the next term in 289, 598, 909, 1222?
1537
What is the next term in 890, 894, 908, 938, 990, 1070, 1184, 1338?
1538
What comes next: -70, -137, -204, -271, -338, -405?
-472
What is the next term in -8609, -8606, -8601, -8594, -8585, -8574?
-8561
What comes next: -119, -503, -1151, -2069, -3263?
-4739
What is the next term in 18, 37, 54, 69?
82
What comes next: -552, -1102, -1654, -2208?
-2764
What is next in -55, -43, -29, -13, 5, 25?
47
What is the next term in -14, -35, -68, -113, -170, -239?
-320
What is the next term in 923, 928, 933, 938, 943, 948?
953
What is next in -166, -457, -870, -1411, -2086, -2901, -3862?
-4975
What is next in 518, 1046, 1578, 2114?
2654
What comes next: -192, -203, -214, -225?
-236
What comes next: 0, 1, -8, -33, -80?
-155
What is next in 1481, 1485, 1489?
1493
What comes next: 6, 21, 46, 81, 126, 181?
246
What is next in 23, 59, 105, 161, 227, 303?
389
What is next in -54, -66, -78?
-90
What is next in -43, -87, -135, -187?
-243
What comes next: -53119, -53120, -53121?
-53122
What is next in -466, -930, -1394, -1858, -2322?
-2786
What comes next: -19, -65, -141, -253, -407, -609, -865, -1181?
-1563
What is the next term in -2174, -4354, -6534, -8714?
-10894
What comes next: -500, -495, -480, -449, -396, -315, -200?
-45
What is the next term in 380, 760, 1140, 1520?
1900
What is the next term in -110, -253, -396, -539, -682, -825?
-968
What is the next term in -344, -345, -340, -323, -288, -229, -140?
-15
What comes next: 6117, 12236, 18355, 24474?
30593
What is next in -384, -773, -1162?
-1551
What comes next: -415, -820, -1225?
-1630
What is next in 11, 48, 125, 254, 447, 716, 1073, 1530?
2099
What comes next: -90, -64, -24, 36, 122, 240, 396?
596
What comes next: -18, -28, -38, -48, -58?
-68
What comes next: -293, -285, -273, -257, -237, -213?
-185
What comes next: 309, 315, 327, 345?
369
What is next in 16, 62, 180, 406, 776?
1326
What is next in -523, -1045, -1567, -2089?
-2611
What is next in 3379, 3378, 3377, 3376, 3375, 3374?
3373
What is the next term in 44, 78, 112, 146?
180
What is next in 29, 65, 105, 149, 197, 249, 305?
365
What is the next term in 50, 94, 134, 170?
202
What comes next: 5, 31, 77, 143, 229, 335, 461?
607
What is the next term in -240, -235, -230, -225, -220, | {
"pile_set_name": "DM Mathematics"
} |
hat is the next term in -19380, -19419, -19458?
-19497
What is next in 375, 1209, 2505, 4263, 6483?
9165
What is next in 39, 61, 95, 141, 199, 269, 351?
445
What is next in -2550, -5173, -7806, -10455, -13126, -15825?
-18558
What is the next term in -927, -1814, -2701, -3588, -4475?
-5362
What comes next: -537418, -537421, -537424?
-537427
What is next in 158, 47, -256, -847, -1822, -3277, -5308?
-8011
What is next in -34, -127, -218, -307, -394, -479?
-562
What is next in 88440, 88426, 88408, 88386?
88360
What comes next: 1538, 6119, 13738, 24383, 38042, 54703, 74354, 96983?
122578
What comes next: -11964, -23930, -35896, -47862, -59828, -71794?
-83760
What is the next term in 1473271, 1473268, 1473255, 1473226, 1473175, 1473096, 1472983?
1472830
What comes next: 852976, 1705946, 2558914, 3411880, 4264844, 5117806?
5970766
What comes next: -125286, -125314, -125332, -125334, -125314, -125266, -125184, -125062?
-124894
What is the next term in -78, -364, -834, -1476, -2278?
-3228
What is next in -1441, -2841, -4241?
-5641
What comes next: 12, 14, -22, -102, -232, -418, -666?
-982
What is the next term in -9828, -10031, -10234, -10437, -10640, -10843?
-11046
What is next in 2258, 2258, 2256, 2252, 2246, 2238, 2228?
2216
What is next in 5414, 5393, 5372, 5351, 5330, 5309?
5288
What is the next term in 72, 225, 484, 849, 1320?
1897
What comes next: -4515, -4503, -4485, -4461?
-4431
What comes next: -35, -54, -89, -140, -207?
-290
What comes next: -416, -369, -310, -233, -132, -1, 166?
375
What comes next: 35145, 35143, 35141, 35139?
35137
What is next in -81, -311, -681, -1191, -1841?
-2631
What comes next: -188638, -188632, -188624, -188614, -188602, -188588, -188572?
-188554
What is next in -7423, -7418, -7411, -7402, -7391?
-7378
What comes next: 1538, 3017, 4366, 5519, 6410, 6973?
7142
What is the next term in 89, 645, 2149, 5075, 9897, 17089, 27125?
40479
What is the next term in 26529, 53053, 79575, 106095?
132613
What is next in -4391, -4554, -4717?
-4880
What comes next: 216, 804, 2114, 4506, 8340, 13976, 21774?
32094
What comes next: -122, -363, -768, -1343, -2094, -3027, -4148, -5463?
-6978
What is the next term in -83, -190, -347, -548, -787, -1058, -1355, -1672?
-2003
What is the next term in -13977, -28518, -43061, -57606, -72153, -86702, -101253?
-115806
What is next in 108488, 108480, 108458, 108416, 108348, 108248, 108110?
107928
What is next in -144, -182, -216, -234, -224?
-174
What is next in 85, 109, 117, 103, 61, -15, -131, -293?
-507
What is the next term in 18150, 18145, 18138, 18129, 18118, 18105?
18090
What is the next term in 114, 226, 366, 552, 802?
1134
What is the next term in -673525, -673524, -673523, -673522, -673521?
-673520
What is the next term in 39587, 79137, 118687, 158237, 197787, 237337?
276887
What is the next term in 2718, 3743, 4756, 5751, 6722?
7663
What comes next: -1426801, -1426820, -1426865, -1426948, -1427081?
-1427276
What is next in -706, -753, -814, -889?
-978
What is the next term in -1035, -2242, -3615, -5154, -6859?
-8730
What is the next term in 38348, 76694, 115040, 153386?
191732
What is the next term in -4633, -9287, -13941, -18595, -23249, -27903?
-32557
What is next in -2243, -4168, -6083, -7982, -9859?
-11708
What is next in 431, 435, 435, 425, 399, 351, 275, 165?
15
What is the next term in 117, 170, 209, 228, 221?
182
What comes next: 9, 31, 71, 129, 205?
299
What is the next term in -1222, -1091, -960, -829?
-698
What is the next term in -5901, -5906, -5919, -5946, -5993, -6066, -6171?
-6314
What comes next: -7285, -14572, -21859, -29146, -36433?
-43720
What is the next term in -1044, -618, -192?
234
What is the next term in 723, 893, 1063, 1233, 1403, 1573?
1743
What is the next term in -7984, -15968, -23952, -31936, -39920, -47904?
-55888
What is the next term in -245, -149, 9, 229, 511, 855, 1261?
1729
What comes next: 3995, 4009, 4025, 4043, 4063, 4085, 4109?
4135
What comes next: 40123, 40132, 40145, 40162, 40183?
40208
What is the next term in -1006, -2072, -3138, -4204, -5270?
-6336
What comes next: -87, -391, -897, -1605, -2515?
-3627
What comes next: 34803, 34773, 34731, 34671, 34587?
34473
What is the next term in -258, -554, -896, -1284?
-1718
What comes next: -110, -302, -790, -1718, -3230?
-5470
What comes next: 50939, 203707, 458313, 814751, 1273015, 1833099, 2494997?
3258703
What is next in 779, 3131, 7051, 12539, 19595, 28219, 38411?
50171
What comes next: 2117, 2126, 2133, 2138?
2141
What comes next: 160, 601, 1292, 2197, 3280, 4505, 5836, 7237?
8672
What comes next: -1067, -2174, -3289, -4412, -5543?
-6682
What is next in 119932, 239881, 359830, 479779, 599728?
719677
What is the next term in -47, -73, -99, -125, -151?
-177
What is next in -5957, -11875, -17753, -23591, -29389, -35147?
-40865
What is the next term in 10597, 21197, 31797, 42397, 52997, 63597?
74197
What comes next: 632, 2551, 5744, 10205, 15928, 22907, 31136?
40609
What is next in -1467, -2907, -4329, -5739, -7143, -8547?
-9957
What comes next: -40, 636, 2030, 4148, 6996, 10580, 14906?
19980
What comes next: -28349, -56688, -85003, -113282, -141513, -169684?
-197783
What comes next: 4882, 19665, 44348, 78937, 123438, 177857?
242200
What is the next term in 4147, 4101, 4069, 4057, 4071, 4117, 4201?
4329
What is the next term in -154116, -154144, -154172?
-154200
What is next in 9284, 18593, 27902?
37211
What comes next: -3544, -7233, -10936, -14659, -18408, -22189, -26008?
-29871
What is the next term in -2978, -3013, -3048, -3083?
-3118
What is the next term in 252, 159, 10, -195, -456, -773, -1146?
-1575
What is next in -93811, -93812, -93813, -93814?
-93815
What comes next: -2690, -2689, -2688, -2687, -2686?
-2685
What is next in 1589, 3209, 4847, 6509, 8201, 9929, 11699?
13517
What is next in -2743, -5594, -8447, -11308, -14183, -17078, -19999, -22952?
-25943
What is the next term in -166, -720, -1664, -2992, -4698, -6776?
-9220
What is next in 9, -63, -265, -663, -1323, -2311?
-3693
What comes next: 313, 664, 1055, 1492, 1981, 2528?
3139
What comes next: -942599, -1885200, -2827799, -3770396, -4712991, -5655584, -6598175?
-7540764
What is the next term in 4871, 4675, 4457, 4211, 3931, 3611, 3245?
2827
What is the next term in 68, -40, -198, -388, -592, -792, -970, -1108?
-1188
What comes next: -424, -793, -1166, -1543, -1924, -2309?
-2698
What comes next: -934, -7740, -26212, -62182, -121482, -209944?
-333400
What comes next: 1283, 5119, 11511, 20459?
31963
What comes next: 17412, 17394, 17350, 17274, 17160, 17002, 16794?
16530
What is next in 28209, 56407, 84607, 112809?
141013
What is the next term in 3610, 14336, 32220, 57268, 89486, 128880, 175456?
229220
What comes next: -1985231, -1985232, -1985233, -1985234, -1985235?
-1985236
What is next in -269, -578, -887?
-1196
What comes next: 329, 469, 831, 1523, 2653, 4329?
6659
What is the next term in 1112, 1125, 1138?
1151
What is the next term in -69, -261, -579, -1023, -1593?
-2289
What comes next: -2472, -2485, -2508, -2541, -2584, -2637?
-2700
What is the next term in -21690, -43382, -65074, -86766?
-108458
What is the next term in -6946, -27772, -62478, -111064, -173530?
-249876
What is the next term in -60827, -60837, -60853, -60875, -60903?
-60937
What comes next: 776371, 776370, 776369, 776368, 776367?
776366
What comes next: -12426, -24852, -37278, -49704, -62130, -74556?
-86982
What is the next term in 929, 1836, 2743?
3650
What comes next: 1933, 3856, 5777, 7696, 9613, 11528, 13441?
15352
What comes next: -472, -987, -1568, -2221, -2952?
-3767
What is next in -1016, -556, -96, 364, 824?
1284
What is the next term in 5947, 5959, 5971, 5983?
5995
What is the next term in -60623, -60633, -60647, -60665?
-60687
What comes next: 76034, 152081, 228126, 304169, 380210, 456249, 532286?
608321
What comes next: 580, 2324, 5234, 9310, 14552?
20960
What is next in 1262625, 1262626, 1262627, 1262628, 1262629?
1262630
What is the next term in 21338, 21344, 21362, 21398, 21458, 21548, 21674?
21842
What comes next: 50576, 50577, 50578, 50579?
50580
What comes next: 43408, 43405, 43402, 43399?
43396
What is the next term in -26211, -26210, -26209?
-26208
What comes next: 38, 48, 58, 68, 78?
88
What is the next term in -147, -674, -1207, -1746, - | {
"pile_set_name": "DM Mathematics"
} |
Suppose -d + 3*g = -r, -2*d + g = -7*d + 10. What are the prime factors of d?
2
Let d = 11 - 5. Suppose -4*h - d = -6*h. Suppose x - 6*x = h*j - 53, -2*j + 2*x = -30. List the prime factors of j.
2
Let t be 2/(-3) + (-4)/12. Let a = t - -3. List the prime factors of a.
2
Let r(m) = m**2 - 9*m - 13. Let j be r(9). Let a = 23 + j. What are the prime factors of a?
2, 5
Let v = -3 + 5. Suppose 36 = 4*l - 2*u - u, -v*l + 4*u = -18. List the prime factors of l.
3
Suppose 3*m + 17 = -5*b, 0*m = 4*b + 5*m + 24. What are the prime factors of (b - -2) + -1 + 22?
2, 11
Let l = -27 - -56. What are the prime factors of l?
29
Let f(m) = -6*m - 19. What are the prime factors of f(-8)?
29
Let u(s) = -2*s**3 - 3*s**2 - s - 5. List the prime factors of u(-3).
5
Suppose 512 = 5*l + 4*m, 194 = 2*l - 0*m - 2*m. What are the prime factors of l?
2, 5
Let n(f) = -16*f - 21 + 4 + 7 + 2*f. What are the prime factors of n(-4)?
2, 23
Suppose 2*d - 94 = -o - 3*d, 0 = 3*d. Suppose 6 = j + 4*c, -3*c = -j - c + 12. Suppose -b + 5*k = -21, -5*b + o = -4*k + j. List the prime factors of b.
2
Suppose -222 = 11*y - 1575. List the prime factors of y.
3, 41
Let o(q) = -q**3 - 9*q**2 + 6. Let h be o(-9). What are the prime factors of 32/h*75/10?
2, 5
Let h(i) = -i**3 - 2*i**2 - 2*i. Let y(g) = -g - 6. Let a be y(-3). What are the prime factors of h(a)?
3, 5
Suppose -2*t = -4 - 0. Suppose -2*f + 2*g = 2, -5*f = 3*g + t*g - 25. What are the prime factors of 11 - 3 - 2/f?
7
Let v = -7 + 6. Let h be v*4/6*-3. List the prime factors of h*9/6*2.
2, 3
Let k = 842 + -561. List the prime factors of k.
281
Suppose -d - 3 = -2*d. Suppose 0 = 8*h - d*h - 60. List the prime factors of h.
2, 3
Let g(k) = 10*k**3 + 2*k**2 - 1. Let u be g(1). Let m(n) = -17*n**3 + n**2 - n - 1. Let y be m(-1). Let i = y - u. List the prime factors of i.
7
Suppose 0*y - 218 = -4*m + 2*y, 0 = m + 2*y - 57. List the prime factors of m.
5, 11
Suppose -67 + 64 = -s. What are the prime factors of s?
3
Let a be (-6)/(-10) + 42/30. What are the prime factors of 3 - (-12 + (-6)/a)?
2, 3
Let o(l) = -5*l**3 + 7*l**2 - 6*l + 4. Let v(g) = -6*g**3 + 7*g**2 - 7*g + 3. Let q(p) = -5*o(p) + 4*v(p). What are the prime factors of q(7)?
2, 3
Let s(p) = -p**3 + 9*p**2 + 12*p - 9. Suppose 2*t - 5*z - 10 - 35 = 0, -5*t = -4*z - 70. What are the prime factors of s(t)?
11
Suppose i + 4*x - 30 = -2*i, 2*i - 15 = -x. Suppose -12 = 2*n - i*n. Suppose -4*u + 2 = -n*u. List the prime factors of u.
2
Suppose -3*c + 25 = m, 5 = -c + 3*m - 0*m. What are the prime factors of c?
7
Let v be 3/2*4/3. Suppose 4*t + 11 - 50 = -m, -v*m + 28 = 3*t. What are the prime factors of ((-8)/t)/((-4)/30)?
2, 3
Suppose -5*z = -0*z - 90. Let d(a) = -2*a - 5. Let k be d(4). Let q = k + z. List the prime factors of q.
5
What are the prime factors of (-2)/3 + 128/12?
2, 5
Suppose -5*i - 11 = 2*r + 3, 4*r = -5*i - 8. Suppose 2*q + 8 = 0, r*h = 5*q + 50 + 9. List the prime factors of h.
13
Suppose 3*z + d = 2, -3*d - 4 = 3*z - 10. Suppose z = -2*w - 2*w + 8. Let p = w - 0. What are the prime factors of p?
2
Let b = 266 - 110. Suppose -2*a = 2*a - b. List the prime factors of a.
3, 13
Let r(i) = -i**3 - i**2 - 1. Let f be r(-2). Suppose c + 13 = 2*c + k, f*c - 34 = -4*k. Suppose c = -0*d + 2*d. List the prime factors of d.
3
Let j(d) = -d**2 + 5*d. Let a be j(4). Suppose a*n = 2*n + 8. List the prime factors of (-1 - -3)*n/2.
2
Let b be 14/((-1)/(3/(-3))). Suppose 0 = 3*y - 5*y + b. Suppose -2*f = -y*f + 45. List the prime factors of f.
3
Let m(d) = -d**2 - 4*d - 17. Let t be 2/(-2) + 2 - 7. Let j(p) = 2*p**2 + 7*p + 35. Let r(z) = t*j(z) - 13*m(z). What are the prime factors of r(-9)?
2
Suppose -3*n + 2*q = -7, 2*n + q = 7*n - 14. Let j(s) = -3*s**2 + 2*s + s**n + 2*s**3 - 3 + 4. What are the prime factors of j(2)?
17
Let l(k) = 2*k - 12. Let d be l(9). List the prime factors of d/(-4) - (-43)/2.
2, 5
Let n(q) = 3*q**3 - 3*q**2 - 3*q - 21. Let m(o) = -10*o**3 + 10*o**2 + 10*o + 62. Let v(i) = -2*m(i) - 7*n(i). What are the prime factors of v(0)?
23
Suppose -2*y - 3*i = -59, y + 4*i - 6 = 36. Let s = 37 - y. List the prime factors of s.
3, 5
Suppose 2*h - h = 4. Suppose -h*a = -9*a - 10. Let c(x) = -2*x - 2. List the prime factors of c(a).
2
Let i(s) = 4*s - 4*s - 3 + 14 + s. What are the prime factors of i(-8)?
3
Let d = -7 - -9. Let o be 67/d*(-1 - -3). Suppose 2*j = 3*f + 7*j - o, -f + 3*j - 1 = 0. What are the prime factors of f?
2, 7
Suppose -v + 14 = 3*u - 2*u, 4 = -4*v. Suppose 5*f - u = 2*f. What are the prime factors of f?
5
Suppose -9*w + 81 = -8*w. List the prime factors of (w/6)/(4/8).
3
Let x(v) = 0*v + 0*v + 2*v. Let d = 2 + -1. List the prime factors of x(d).
2
Let t(y) = -4*y**3 - 4*y**2 - 5*y + 3. Let v = -11 - -7. Let h be t(v). What are the prime factors of h/15 + (-1)/3?
2, 7
Suppose 4*r - 3 = 5*h + 85, -h = -5*r + 110. Suppose 3 = -3*p - 3*o, -3*p + r = -2*o - 0. Suppose i + 4 = 0, 3*s + p*i - 29 = -2*s. List the prime factors of s.
3
Suppose 0 = 5*r - 5*l + 30, 4*r - 9 + 36 = 5*l. List the prime factors of ((-1)/r)/(1/51).
17
What are the prime factors of 6 + -3 - 15/(-3)?
2
Let c = 0 - -3. Suppose -38 = -3*b - 2*v, -v - c + 16 = b. What are the prime factors of b?
2, 3
List the prime factors of ((-12)/8)/1*-74.
3, 37
Suppose -7*a - 504 = -11*a. List the prime factors of a.
2, 3, 7
Let c be (2/4)/(1/4). Let h = 10 - 1. Suppose l + h = c*l. What are the prime factors of l?
3
Suppose -4*s + 5*u - 31 = 0, -2*s + 0*u + 2*u - 14 = 0. Let i be (-1 - 3)/(s/34). Suppose 0 = 2*q - i + 8. List the prime factors of q.
13
Let m = 10 + -5. Let r = -4 + m. Suppose -r - 3 = -s. What are the prime factors of s?
2
Suppose -3*x - 8 = -7*x. Suppose -3*w = -4*g + x*g + 10, -3*w + 30 = 3*g. List the prime factors of g.
2
Let y(m) = -2*m**3 - 4*m**2 + m - 1. Let w be y(-3). List the prime factors of w/7*(10 - -2).
2, 3
Suppose -z - 8 = -2*r, -z = 4*r - 14 - 8. What are the prime factors of (-1 + 0)/(z/(-38))?
19
Let y(z) be the third derivative of z**6/120 - 3*z**5/20 + z**4/24 - 7*z**3/6 + 2*z**2. Let a be y(9). Let n = a - -6. List the prime factors of n.
2
Suppose 3*f = 2*b - 6, -6*f = -f. Suppose 3*v - 6 = -3*t, b*v - 5*t = v + 39. What are the prime factors of v?
7
Suppose 0 = 4*p + 5 + 15. Let g = 8 - p. What are the prime factors of g?
13
Let d(s) = s**3 - 8*s**2 - 9*s - 5. Let a be d(9). Let l(u) = u + 6. Let b be l(-6). List the prime factors of 1/2*b - a.
5
Let f(p) = 10*p + 7. What are the prime factors of f(2)?
3
Suppose 0 = -2*b - 2*l + 44, 0 = 3*b + l - 4*l - 66. What are the prime factors of b?
2, 11
Let c(x) = -x - 7. Let a be c(-10). Suppose -27 = -0*b - a*b. List the prime factors of b.
3
Suppose -16 = 2*r - 74. Suppose 0 = -0*v + 2*v - d - 58, 0 = -v + d + r. List the prime factors of v.
29
Suppose -8*q + 474 = -1062. What are the prime factors of q?
2, 3
Let a = -71 - -104. What are the prime factors of a?
3, 11
Suppose 2 = -2*k, 2*k - 133 = -3*v + 6*k. What are the prime factors of v?
43
Let f(k) = -k**3 + 6*k**2 + 6*k - 24. List the prime factors of f(6).
2, 3
Suppose 4*n - 138 = 170. What are the prime factors of n?
7, 11
Let d = -21 + 41. Suppose 6*h - d = 4*h. What are the prime factors of h?
2, 5
Let g(s) = -s**3 + 14*s**2 - 11*s - 23. List the prime factors of g(12).
7, 19
Let k be -5*(-1 - (1 - 1)). Let d(c) = 2*c + c + k*c - c**2. List the prime factors of d(7).
7
Let m = -4 - -8. Suppose -m*z = -8 - 0. What are the prime factors of z?
2
Let h be (-3 - -2)/(2/(-32)). Suppose -h = -5*x - 6. What are the prime factors of (-4)/(-1)*x + 2?
2, 5
Let h = 431 - 147. What are the prime factors of h?
2, 71
Suppose -286 = -y - 12*y. Suppose -5*d = -6 + 56. Let r = y + d. List the prime factors of r.
2, 3
Let x(k) be the second derivative of k**5/5 - k**3/3 + k**2/2 - 2*k. Let y be x(1). Suppose -6*m + 9 = -y*m. List the prime factors of m.
3
Suppose 9*f - 20*f + 3366 = 0. What are the prime factors of f?
2, 3, 17
Suppose 0 = -j - 4*x + 19, -3*j - x + 8 + 49 = 0. List the prime factors of j.
19
Suppose 0 = t + 3*g - 0*g - 5, -t = 2*g - 4. Let x = 15 - 9. Suppose -2*d + t = -x. What are the prime factors of d?
2
Let p(y) = -2*y - 40. Let m be p(-17). Suppose 0 = -2*i + i + 6. List the prime factors of i*1/m*-2.
2
Suppose s - 14 = 6. Suppose f + 4* | {
"pile_set_name": "DM Mathematics"
} |
- 5. What is the units digit of w(-6)?
1
Let l(m) = m**2 + 16. Let i be l(0). Suppose 5*r - 2*v = 16, -4*r + 3*v - 6 = -i. Suppose 24 = 2*p - 3*c, -r*c - 9 - 37 = -5*p. What is the units digit of p?
6
Let f(v) = 7*v + 1. Let c be f(-1). What is the units digit of (-4)/c*21/2?
7
Suppose 4 = 4*v - k - 12, k = 0. Let z = v + 6. Suppose z + 0 = n. What is the units digit of n?
0
Suppose -6*z + 4*z = 6. Let g(c) = -c**3 + c - 1. What is the tens digit of g(z)?
2
What is the tens digit of (-35)/(-2) - (-4)/8?
1
What is the units digit of (-4190)/(-30) - 1/(-3)?
0
Suppose -u - 4*p + 12 = 0, 6*p - p = -2*u + 15. Suppose u = -q - q + 16. What is the units digit of q?
8
Let c(y) = 2*y + 10. Let s = -6 + 14. What is the tens digit of c(s)?
2
Let l = 2 + -4. Let b be 7/3 - l/(-6). Let d(r) = 2*r**2 - 2*r + 1. What is the units digit of d(b)?
5
Let i(d) = -d - 3. Let g be i(0). Let s(k) be the third derivative of -k**4/24 - k**3/3 + k**2. What is the units digit of s(g)?
1
Let m(q) = -31*q + 20. What is the units digit of m(-3)?
3
Let j(p) = -p**3 - 6*p**2 + 5*p - 5. Let w be (-1)/2 - (-26)/(-4). What is the units digit of j(w)?
9
What is the units digit of (-3)/15 + 271/5?
4
Let r be (-8)/52 - 89/13. Let b(i) = -2*i - 4. Let v be b(r). Let z = v - 1. What is the units digit of z?
9
Suppose 0 = 6*w - 2*w + 8. Suppose -3 = b - 2. What is the units digit of (w + 1*-7)*b?
9
Let o = 34 - 19. What is the units digit of 220/8*18/o?
3
Suppose -4*l + 88 = -2*t, 3*t + l = 2*t - 59. Let s = t + 96. Suppose 5*w = 2*w + 5*u + 22, -5*w + s = -3*u. What is the units digit of w?
9
Suppose -4*h - 4 = 4. Let n be (16/6)/(h/(-3)). Suppose 32 = 4*b + n. What is the units digit of b?
7
Let s(l) = 6*l - 1. Let q(o) = -11*o + 3. Let b(t) = -3*q(t) - 5*s(t). Let j be -1*2/6*-15. What is the tens digit of b(j)?
1
Suppose -4*g - 112 = -x, -5*x + 81 = -3*g + 14. Let d = -21 - g. What is the units digit of d?
8
What is the tens digit of (-222 + 1)/(-1) + 6/2?
2
Suppose 1 = 4*a + 4*x + 5, -a + 19 = 5*x. Let f(c) = c**3 + 5*c**2 - 8*c - 6. What is the units digit of f(a)?
6
Let m be (-1)/(-3) - (-66)/18. Suppose r - 4*s - 7 = -0*s, -3*s = -m*r + 80. What is the tens digit of r?
2
Let t(r) = 19*r - 9. What is the units digit of t(4)?
7
Suppose 0*c - c + 49 = 0. What is the units digit of c?
9
Suppose 4*s + 2*g - 8 = 0, 3*s + 3*g = 6 - 0. Let v be (6/(-9))/(s/(-3)). What is the units digit of (-5 - -3)/(v/(-4))?
8
Let w be 1*-36*(-2 + 1). Let q be 531/(-21) - (-2)/7. Let u = w + q. What is the tens digit of u?
1
Let u be (3 - 6)*(-86)/6. Let d = 70 - u. What is the tens digit of d?
2
Suppose -103 - 389 = -2*z. What is the hundreds digit of z?
2
Suppose -3*h + h = 0. Suppose -2*c - 17 + 7 = h. Let z(w) = w**2 + 5*w + 5. What is the units digit of z(c)?
5
Suppose 4*o = -3*p + 7, -2 + 6 = -o + 5*p. What is the units digit of o*-10*(-1)/2?
5
Suppose -3*o + 2*o = -2. Let m(l) = 6*l + 1. What is the units digit of m(o)?
3
Let p(s) = -s**3 + 3*s**2 - 3*s. Let l be p(2). Let f = 4 + l. What is the units digit of (0 - -2)*f*2?
8
Let l = -21 + 31. What is the units digit of l?
0
Suppose -2*u = 8*u - 1320. What is the units digit of u?
2
What is the units digit of (2/2)/(150/(-156) + 1)?
6
Suppose -5*w = -a + 2*a - 44, -4*w - 4*a + 48 = 0. What is the units digit of w?
8
Let y = -9 + 18. Suppose a - 5*c + 3 = 5*a, 5*c = 2*a - y. What is the units digit of a?
2
Let q(l) = 35*l**2 - l. What is the units digit of q(-1)?
6
Let c = 9 + -6. Let b = 3 - c. Suppose b = -5*p + p + 24. What is the units digit of p?
6
What is the tens digit of 2/(-6) + 182/6?
3
Let b(g) = g**3 - g**2 - 2*g - 3. Suppose h - 4*h = -9. What is the units digit of b(h)?
9
Suppose 0*q + 2 = 4*q - 2*c, 3*q = 4*c + 14. What is the units digit of 100/8 - q/4?
3
Suppose 34 = -6*v + 4*v. Let l be (v - -3)*(-6)/4. Suppose o = -2*o + l. What is the units digit of o?
7
What is the tens digit of (2 + -3)*(-9 - 33)?
4
Suppose 6*f - 162 = 4*f. What is the units digit of f?
1
Let o(r) = -2*r + 3. Let b be o(9). Let s = 32 + b. What is the tens digit of s?
1
What is the tens digit of 799/9 + 6 + (-4)/(-18)?
9
Suppose -4*l + 3*v + 1538 = 0, -5*l + 2*v + 859 + 1067 = 0. What is the units digit of l?
6
Suppose 0 = 2*h + 4*r - 624, 0*r = -h + 2*r + 320. What is the units digit of h?
6
Let p = -13 - -68. What is the units digit of p?
5
Suppose 0 = -3*m + 86 - 8. What is the tens digit of m?
2
What is the tens digit of ((-558)/(-12) - 6)*(-8)/(-6)?
5
Suppose j + 4 = 0, 16 = -2*u - 2*j - 2*j. Suppose u*i = 4*s + 2*i - 104, 4*i + 80 = 4*s. What is the tens digit of s?
2
Let x(s) = s**2 + 7*s + 3. Let l be x(-7). Suppose 4*m - 7*m + l = 0. What is the units digit of m?
1
Let i = 9 + -6. Let r = -3 + i. Suppose -2*x + 10 = -r*x. What is the units digit of x?
5
Suppose -2*n - 2*t = 3*t - 47, 134 = 5*n - 4*t. What is the units digit of n?
6
Let x(r) = -r - 1. What is the units digit of x(-2)?
1
Let z(f) be the third derivative of 0*f + 0 + 1/24*f**4 + 4*f**2 - 1/120*f**6 + 1/10*f**5 + 1/6*f**3. What is the units digit of z(6)?
7
Suppose -w + 3 = -o, 3*o + 0*o - w = -3. Suppose v - 85 = -4*m, 0*v + 3*v - 3 = o. What is the units digit of m?
1
Let l be (-2)/(-3)*(-5 + 8). Suppose -l*m + 4*s = -s - 76, 0 = -3*m - s + 97. What is the units digit of m?
3
Let p(i) = -i**2 + 11*i - 4. Let v(h) = -2*h**2 + 21*h - 7. Let r = -8 + 2. Let j(s) = r*v(s) + 11*p(s). What is the units digit of j(7)?
2
Let d(y) = y**2 - y**2 - y + 3*y - 3 + 2*y**2. Let t be d(-4). Suppose 2*a = 4*x + x + t, -4*a - 2*x = -30. What is the units digit of a?
8
Suppose 0 = -5*b + 146 + 34. What is the tens digit of b?
3
Suppose 4*p + 8 - 72 = 0. Let j = -10 + p. Let f = j + -2. What is the units digit of f?
4
Let x(c) = 3*c - 4. Let u be 3 - 0 - 0/2. Let m be x(u). Suppose -m*o + 7*o = 14. What is the units digit of o?
7
Let u be -2 - 1*-3 - 1. Suppose 48 - 4 = 4*k - 4*m, u = 3*m + 9. What is the units digit of k?
8
Suppose -4 = 3*y + 11. Let b(d) be the third derivative of -d**6/120 - d**5/10 - 7*d**4/24 - d**3 - 2*d**2. What is the units digit of b(y)?
4
Let r = -4 - -6. Suppose -r*q + 12 = q. Let x = q + -2. What is the units digit of x?
2
Let l(h) be the first derivative of h**4/4 + 7*h**3/3 + 4*h**2 + 5*h + 1. Let g = 6 - 11. What is the tens digit of l(g)?
1
Suppose 5*v - 90 = -0*v + 4*l, 2*v - 18 = -2*l. Let p = 21 - v. Let d(b) = b**2 - 5*b + 2. What is the units digit of d(p)?
6
Suppose 5*b - 294 = 186. What is the tens digit of b?
9
Suppose -2*v = 2*v - 12, 8 = -p + 2*v. Let t be (p + 1)*(-1 - -1). Let b(f) = -f + 12. What is the units digit of b(t)?
2
Let z = 86 - 82. What is the units digit of z?
4
Let m(z) be the third derivative of 0 + 1/8*z**4 + 0*z - 1/120*z**6 + 1/10*z**5 - 3*z**2 - 3/2*z**3. What is the units digit of m(6)?
9
Let f = -26 + 87. What is the tens digit of f?
6
Let y(l) = -l**3 - 4*l**2 + 5*l + 6. Let v be y(-5). Let f be (-2)/v - 129/(-9). Suppose -2*j + 6 = -f. What is the tens digit of j?
1
Let m = 19 + -16. What is the units digit of m?
3
Suppose -8 = -2*i + 22. What is the units digit of i?
5
Let r(t) = 2*t**2 - 2*t - 2. Let f be r(-2). Let o be ((-32)/f)/((-3)/15). Suppose -3*p + 4 = 2*w - o, 0 = p + w - 6. What is the units digit of p?
8
Suppose -5*r = -3*l - 224, r - 136 = -2*r + l. Suppose 4*b - 2*q - 80 - r = 0, -3*q + 9 = 0. What is the units digit of b?
3
Suppose -5*s - 4*x - 2 = 38, -2*s - 2*x - 18 = 0. Let h(v) = -v**2 - 6*v - 1. What is the units digit of h(s)?
7
Suppose -4 = -4*l + 4, 0 = -3*n + l + 682. What is the units digit of n?
8
Let o be 87/(-2)*(5 + -7). Suppose -f = -4*k + 81, 4*k - o = f - 2*f. What is the units digit of k?
1
Let y = -1 + 5. Suppose y*k - 5 = -k. What is the units digit of k/1*(-4 + 6)?
2
Let n(l) = -l**3 + 21*l**2 - 28*l + 22. What is the units digit of n(19)?
2
Suppose 4*j + 0 = 12. Suppose -j*a + 18 = n - 4*n, -5*n = 0. Suppose -4*y + a = -2*y. What is the units digit of y?
3
Let v(y) = 86*y**2 + y. What is the tens digit of v(1)?
8
Let i(w) = w + 4. Let q be i(6). Suppose 2*d - 22 = -d - 5*c, -q = -5*c. Suppose d*n + 12 = 60. What is the units digit of n?
2
Let z = -91 + 152. What is the tens digit of z?
6
Suppose -2*k + 2 = -k. Suppose 2*f - 2*j - 12 = 0, -k*f - j - 3*j + 6 = 0. What is the units digit of f?
5 | {
"pile_set_name": "DM Mathematics"
} |
*3
Collect the terms in 802*p - 1611*p + 125*p**3 - 124*p**3 + 809*p.
p**3
Collect the terms in -22*l + 53*l + 47*l.
78*l
Collect the terms in -11 + 0*x + x + 2.
x - 9
Collect the terms in 2*w**3 + w**3 - w**3 - 31*w**2.
2*w**3 - 31*w**2
Collect the terms in 6*o + 1 + 8*o - 5*o - 3.
9*o - 2
Collect the terms in -6*a + 0*a + 97*a**2 + 6*a.
97*a**2
Collect the terms in -2*j**3 + 16*j**3 - 31*j**3.
-17*j**3
Collect the terms in 63*h**3 + 62*h**3 - 191*h**3 + 68*h**3.
2*h**3
Collect the terms in n - 5*n + 5*n.
n
Collect the terms in 8 + 2 - 7 - 5*v**2 - 3.
-5*v**2
Collect the terms in -73*y**3 - 3*y + 3*y + 68*y**3.
-5*y**3
Collect the terms in 50*l - 133*l - 192*l.
-275*l
Collect the terms in 8 - 4 - 4*y**2 - 4.
-4*y**2
Collect the terms in 37*a**2 - 2 - 2*a + 2.
37*a**2 - 2*a
Collect the terms in -37018 + 37018 - w.
-w
Collect the terms in -2059*f + 2059*f + 13*f**2.
13*f**2
Collect the terms in -6 + k**2 + 0*k**2 + 6.
k**2
Collect the terms in 3 - 1 - 60*j**3 - 2.
-60*j**3
Collect the terms in 13*s + 13*s - 19*s.
7*s
Collect the terms in -112*g**2 - 6*g**3 + 112*g**2.
-6*g**3
Collect the terms in 145*r**2 + 239*r**2 + 288*r**2.
672*r**2
Collect the terms in 13*a**3 - 632*a**2 + 632*a**2.
13*a**3
Collect the terms in -161*s + 0 - 159*s + 0 + 312*s.
-8*s
Collect the terms in -2220*n - 2220*n + 4436*n.
-4*n
Collect the terms in 3*d**3 + 8*d**3 - 4*d**3 + 5*d**3.
12*d**3
Collect the terms in 12*y**2 + 0*y**2 + 2*y**2.
14*y**2
Collect the terms in -2*n + 3210 - 3210.
-2*n
Collect the terms in 3*z**2 - 58 - 93 + 151.
3*z**2
Collect the terms in -319 - 6*x + 634 - 315.
-6*x
Collect the terms in 2*d**2 + d**2 + 2*d**2.
5*d**2
Collect the terms in -4*j**3 - 28*j**3 - 1 + 1.
-32*j**3
Collect the terms in 77*h**2 + 10 - 22 + 12.
77*h**2
Collect the terms in 17*n**3 + 7*n**2 + 0*n**2 + 9*n**3.
26*n**3 + 7*n**2
Collect the terms in 0*f**2 + 0*f**2 - 2*f**3 - 23*f**3.
-25*f**3
Collect the terms in -27*a**2 + 8*a**2 + 5*a**2 + 2*a**2 + 13*a**2.
a**2
Collect the terms in 5*i**2 + 0*i**3 + 11*i**2 - 2*i**2 - 6*i**3.
-6*i**3 + 14*i**2
Collect the terms in -4*a - 7*a**2 - 25*a + 29*a.
-7*a**2
Collect the terms in 1 - 6 + 2*g - 4*g - 5*g.
-7*g - 5
Collect the terms in 4*p - p - 6*p.
-3*p
Collect the terms in 103*i**2 - 16*i**2 - 50*i**2.
37*i**2
Collect the terms in 0*u**2 + 2*u**2 - u**2 - 2*u**2.
-u**2
Collect the terms in 6*p**3 + 5*p**3 - p**3 + 17*p**3.
27*p**3
Collect the terms in -377*o**3 + 1148*o**3 - 381*o**3 - 385*o**3.
5*o**3
Collect the terms in 65*v**3 + 131*v**3 - 262*v**3 + 67*v**3.
v**3
Collect the terms in -335*l**3 + 12*l - 5*l + 333*l**3.
-2*l**3 + 7*l
Collect the terms in 2*o**3 - o**3 - 24*o**2 - 3*o**3.
-2*o**3 - 24*o**2
Collect the terms in -2*v**3 + 9*v**2 + 21*v**2 - v**3.
-3*v**3 + 30*v**2
Collect the terms in 6*m - m + 4*m.
9*m
Collect the terms in -2*s**2 - 4*s**2 + s**2 + 5*s**2 + 2*s**2.
2*s**2
Collect the terms in -21*b**3 + 37*b**3 + 32*b**3.
48*b**3
Collect the terms in 13336*i - 26669*i + i**2 - 2*i**2 + 13333*i.
-i**2
Collect the terms in -6*m**2 + 6*m + 15*m**2 - m.
9*m**2 + 5*m
Collect the terms in -11*a + 1777 - 1777.
-11*a
Collect the terms in -83*f**2 + 3*f**2 - 29*f**2.
-109*f**2
Collect the terms in -22 - 17*v + 22 + 19*v.
2*v
Collect the terms in -11*g**2 - 4*g - g + 5*g.
-11*g**2
Collect the terms in -2662*y - y**2 + 2662*y.
-y**2
Collect the terms in 56*c - 25*c + 59*c**3 - 31*c + 2*c**2.
59*c**3 + 2*c**2
Collect the terms in 9503 - s**2 - 9503.
-s**2
Collect the terms in -1 + 4*m + 0 + 0*m - 3*m.
m - 1
Collect the terms in 2*g**2 + 3 - 20*g + 0 - 3.
2*g**2 - 20*g
Collect the terms in -228*u**2 + 120*u**2 + 115*u**2.
7*u**2
Collect the terms in -29*f**3 - 22*f**3 + 12*f**3 - 20*f**3.
-59*f**3
Collect the terms in -117*i**2 + 302*i**2 - 190*i**2.
-5*i**2
Collect the terms in -2*r**2 + 7280 - 7280.
-2*r**2
Collect the terms in -15*a - 50*a**3 - 44*a**3 + 15*a.
-94*a**3
Collect the terms in 35*w - 121*w + 45*w + 44*w.
3*w
Collect the terms in -273*q**2 + 51*q**2 - 61*q**2.
-283*q**2
Collect the terms in -558294*p + p**3 + 558294*p.
p**3
Collect the terms in -16*b**2 + 19*b**3 + 16*b**2 + 14*b**3.
33*b**3
Collect the terms in -7*w**3 - 5*w + 4*w + w.
-7*w**3
Collect the terms in t + 2 - 2 - 2 + t.
2*t - 2
Collect the terms in -42*u**2 + 20*u**2 + 23*u**2.
u**2
Collect the terms in -3 - 1 + 30*j**2 + 4.
30*j**2
Collect the terms in 92 - 56 - 8*r - 36.
-8*r
Collect the terms in 8*c**3 + 2 + 2 - 4.
8*c**3
Collect the terms in 7*m - 7*m + 141*m**2.
141*m**2
Collect the terms in 6 + 731*r - 11 - 729*r + 5.
2*r
Collect the terms in 19 - 20 - 3*r**2 - 10*r**2.
-13*r**2 - 1
Collect the terms in -6*i - 9*i - 14*i + 27*i.
-2*i
Collect the terms in 11 + 0*s - 2 - 6 + 18*s.
18*s + 3
Collect the terms in 2818 - 21*o**2 - 2818.
-21*o**2
Collect the terms in -58*f + 35*f + 45*f.
22*f
Collect the terms in -4*r**2 - 826*r + 826*r + 0*r**2.
-4*r**2
Collect the terms in 9*y**2 + 15*y**2 - 21*y**2.
3*y**2
Collect the terms in -13*j - 7*j - 8*j + 29*j - 3*j.
-2*j
Collect the terms in 2378*g**3 - 790*g**3 - 793*g**3 - 792*g**3.
3*g**3
Collect the terms in 5 + 2094*j**2 - 5 + 394*j**2.
2488*j**2
Collect the terms in 17 - 65 + 28 + 20 - f.
-f
Collect the terms in 55*u**2 - 22*u**2 - 13*u**2 - 21*u**2.
-u**2
Collect the terms in -1166*r + 1166*r + 2*r**2 + 0 + 0.
2*r**2
Collect the terms in 3*u - u - 5*u.
-3*u
Collect the terms in -2*b**3 + 0*b**3 - 50*b**2 - 2*b**3 + 52*b**2.
-4*b**3 + 2*b**2
Collect the terms in -382 + 190 + 192 - 16*s**3.
-16*s**3
Collect the terms in -1 - 7*b**2 + 1 + 4*b**2 + b**2.
-2*b**2
Collect the terms in -12*x**2 + 8*x**2 - 7*x**2.
-11*x**2
Collect the terms in 12*t + 8*t - 12*t.
8*t
Collect the terms in -2*x**2 + 0*x**2 - 3*x**2.
-5*x**2
Collect the terms in 17*m**3 + 0*m**3 + 4*m**2 - 5*m**3.
12*m**3 + 4*m**2
Collect the terms in 108 - 74 - 4*s**2 - 34.
-4*s**2
Collect the terms in -15*c + 46*c - c - 12*c.
18*c
Collect the terms in 0*n**3 + 16*n**3 - n**3.
15*n**3
Collect the terms in -2*r**2 - 2*r + 4*r**2 + 2*r.
2*r**2
Collect the terms in -w + 29*w**3 - 3 + w.
29*w**3 - 3
Collect the terms in -q**2 - 11*q**3 - q**2 + 2*q**3.
-9*q**3 - 2*q**2
Collect the terms in -39*a + 39*a - 3*a**3.
-3*a**3
Collect the terms in -5*m + 4*m - 23*m + 2.
-24*m + 2
Collect the terms in 1078*h**2 - 55 + 55 - 1068*h**2.
10*h**2
Collect the terms in 7 - 2*l**3 - 5 - 2.
-2*l**3
Collect the terms in -299*r - 305*r + 600*r.
-4*r
Collect the terms in 346*r**2 + 81*r - 81*r.
346*r**2
Collect the terms in 20 - 2*f**2 + 20 + 16 - 56.
-2*f**2
Collect the terms in 4*n**3 + 5*n**3 - 12*n**3.
-3*n**3
Collect the terms in 11*g**2 + 6*g + 9*g - 2*g**2 + 0*g.
9*g**2 + 15*g
Collect the terms in 3*i**3 - i**3 + i**3 + 5*i**3.
8*i**3
Collect the terms in 5766 - 2880 + 9*s**3 + 2*s**3 - 2886.
11*s**3
Collect the terms in 27*w**3 - 21*w**3 - 2*w**3 - 2*w**3.
2*w**3
Collect the terms in -235*k**2 + 235*k**2 + 42*k**3.
42*k**3
Collect the terms in -140*h - 78*h + 216*h.
-2*h
Collect the terms in -10*n**3 + 0*n**3 - 31*n**3 - 5*n**3.
-46*n**3
Collect the terms in -11*p**2 - 5*p**2 + p**2.
-15*p**2
Collect the terms in 325*d**2 + 313*d**2 - 639*d**2.
-d**2
Collect the terms in 52545*j + 23*j**2 - 52545*j.
23*j**2
Collect the terms in 2*n**3 - n**3 + n**3.
2*n**3
Collect the terms in 6*u**3 - 8*u**3 - 11*u**3.
-13*u**3
Collect the terms in 894*k**3 + 870*k**3 - 1759*k**3.
5*k**3
Collect the terms in -4 + 76*i - 80*i + 4.
-4*i
Collect the terms in -8*h**2 + h**2 + 12 - 9*h**2 + 13*h**2.
-3*h**2 + 12
Collect the terms in -19*h**2 - 14*h**2 + 28*h**2.
-5*h**2
Collect the terms in 17*h + 4*h - 8*h.
13*h
Collect the terms in -1057*m + 8*m**3 - 1057*m + 2114*m.
8*m**3
Collect the terms in -3*z**2 + 14*z - 35*z + 21*z.
-3*z**2
Collect the terms in -14 - 30*r**3 + 14.
-30*r**3
Collect the terms in 39 - 39 + 2*c**2.
2*c**2
Collect the terms in 10*n**2 + 10*n**2 + n**2.
21*n**2
Collect the terms in 0*g + 0*g + g - 10*g.
-9*g
Collect the terms in -3*d**2 + 5*d**2 - 3*d**2 + 0*d**2 - 5*d**2.
-6*d**2
Collect the terms in 248*h - 145*h - 123*h.
-20*h
Collect the terms in -802 + 802 + 5*i.
5*i
Collect the terms in 6*b + 3*b + 5*b + 28 - 4*b.
10*b + 28
Collect the terms in 50996 - 50996 + u**2.
u**2
Collect the terms in -385 + 777 - 392 - 8*o.
-8*o
Collect the terms in 12 | {
"pile_set_name": "DM Mathematics"
} |
= d*y - 3*b, -19*y - 5*b = -22*y - 10 for y.
-5
Let u be 0 - (1 + 0 - -48). Let r be ((-40)/25)/((-40)/(-700)). Let j = r - u. Solve 2*w = 2*o, -4*w - w - j = 2*o for o.
-3
Suppose 48*l + 4*l = -8*l + 720. Solve -l*t = 5*j - 8*t - 22, 2*t - 10 = -2*j for j.
2
Suppose -q = -3*f + 1, 9*q - 6*q = 4*f + 7. Let z be (-1 + 0)*-66 - 3. Suppose -z*l = -64*l + f. Solve 0 = -2*r + l, -g - r - 4 = -0*r for g.
-5
Let h(l) = -2*l**3 - 84*l**2 + 270*l + 5. Let p be h(-45). Solve -p*m = -4*d - 28, 2*d = -7*m + 3*m + 12 for m.
4
Let o be -1 + (1 + -8)/(-7). Let x be (o - 4)/(10/(-15)). Solve 5*i - x*z + z = -5, 4*i = -z + 16 for i.
3
Suppose -297*y + 1409 - 518 = 0. Let d = 0 - -1. Let g = 11 - d. Solve -g = 3*i - w, 0*i + y*w = 4*i + 5 for i.
-5
Let h = 116 - 105. Let k(z) = z**2 - 8*z - 22. Let r be k(h). Suppose -3*q - 4*x = -r, -q - 3*x + 1 = x. Solve 2*d + 23 = -q*a, -27 = -2*d + 3*a + 2*a for d.
1
Let h(w) = 8 + 2 + 5 - 6*w**2 + 7*w**2 + 11*w. Let g(a) = -a. Let y(c) = -2*g(c) - h(c). Let n be y(-6). Solve 0 = 2*o - 4*l - 2, -2*l + l + 10 = n*o for o.
3
Let v = 18259 - 18255. Solve -5*f - 12 = v*a - 6, -5*a = -4*f + 28 for f.
2
Let w be (1/2)/((-4)/(-24)). Let u(x) = -335*x + 337. Let h be u(1). Solve -1 = h*d - r, 2*d - 2 = d + w*r for d.
-1
Let m(i) = i**3 - 20*i**2 + 5. Let z be m(20). Suppose 0 = 2*n - 4, -z*r + 67 + 147 = 2*n. Let h = r + -22. Solve 3*a - 4*w = -a - h, -4*w + 2 = 2*a for a.
-3
Let h(r) = r**2 - 31*r - 40*r + 2 + 75*r. Let n be h(-4). Suppose 3*p + 4 - 19 = n*s, 0 = -4*s. Solve 3*u = -5*j + p, 2*u + 30 = 5*j - 0 for j.
4
Suppose 10*r + 1124 = 314. Let q = -76 - r. Solve q*c - z = -15, 0 = 3*c - 2*c - 2*z + 12 for c.
-2
Let d be -4 - (25*(-4)/4 - 4). Suppose 0 = -d*w + 26*w. Solve -3*p - 14 = -p - 2*t, w = -4*p + 3*t - 25 for p.
-4
Suppose -4 = -5*y + 4*y. Let s be ((-124)/(-62))/(3 + ((-448)/20)/8). Solve -y*p + s = -7*g + 6*g, -2*g + 7 = p for p.
3
Let p be 12 + -10 + -15 + 15. Solve -3 = -p*d + o, 5*o - 10 = 15 for d.
4
Let v = 4620 + -4590. Solve -d = -5*q - v, 0 = -3*q - 22*d + 19*d for q.
-5
Suppose -8*p + 79 - 13 = 26. Solve 4*h = 7*o - 3*o, 4*o + p*h = 9 for o.
1
Suppose u + 6*v + 1 = 2*v, 0 = -u + 4*v + 7. Suppose 5*m + 92 = 6*m. Let h = m + -78. Solve s - 3*n = h, -4*n - 24 = -u*s - s for s.
2
Suppose -13*c + 74 = 9. Let p(a) = 6*a - 26. Let i be p(c). Solve -2*o - 4*q = -2, i*q + 0*q = 3*o + 27 for o.
-5
Let h be 1981/35*5 - -6. Let t = h - 289. Solve -2*z - 10 - 4 = 3*d, t = -4*z - d - 8 for z.
-1
Suppose -2*m = 3*f - 72, 2*f = -5*f + 3*m + 122. Solve 5*g = -j + f, 0*j - 4*j - g - 15 = 0 for j.
-5
Let u(x) = x**3 - 15*x**2 + 37*x - 840. Let a be u(16). Solve 7*k - a = -2*b, k + 3*b = -b - 10 for k.
2
Suppose 0 = 4*u - 3*x - 32, -u - 7 = 4*x - x. Suppose -u*k = 3*s - 23 - 0, -3*s = 3*k - 15. Let j = -11 + 14. Solve -b + 11 = j*y, -k*y - b = -0*y - 16 for y.
5
Let p be 4/34 + 28/(-238). Let z(q) = -2*q + 8. Let y be z(-2). Suppose 14*a - y*a = 10. Solve -3*n + a*x - 10 - 16 = p, 3*x = 5*n + 22 for n.
-2
Suppose 2*o - 4 = a + 6*o, -5*a - 2*o = 2. Suppose 23 = -4*l + 31. Suppose 5*s - l = 43. Solve 5*g - 4*p - s = a, 2*p - 28 = -4*g - 0*p for g.
5
Let r(z) = z**3 - 9*z**2 + 50*z - 439. Let p be r(9). Solve -6 = -3*f + 5*a + p, -4*a = 4 for f.
4
Let a(v) be the third derivative of v**6/40 - 23*v**5/15 - 31*v**4/24 + 10*v**3/3 - 134*v**2. Let s be a(31). Solve w = -4*b - s, -2*w - 11 - 13 = 4*b for w.
-4
Let b be (9/54)/(1/(134*3)). Solve 65 = -3*l - 2*q + b, 0 = -q + 4 for l.
-2
Suppose 478 = -10*r - 642. Let s = r - -109. Let b(i) = 2*i**3 + 7*i**2 + 2*i + 4. Let v be b(s). Solve 3*o - 5*o - 5*p = v, 5*o + p + 6 = 0 for o.
-1
Suppose 19*a = 8*a - 286. Let r = a - -32. Let u = -6 + r. Solve 3*h + u + 9 = -d, -5*h - 4*d = 15 for h.
-3
Suppose 173*y = 171*y + 260. Let v = y - 127. Solve -x = v*f + 10, -6 = 5*x - f - 36 for x.
5
Let w(l) = 7*l - 18. Let a be w(7). Let p = a + -3. Suppose 4*r = -3*h + p, -6*h - 65 = -11*h - 3*r. Solve 4*k - 19 = -g, -2*g - 2*g - k = -h for g.
3
Let u be ((-3)/(-6)*-4)/(9 + 865/(-95)). Solve 4*i = m - 16, -m - u = 3*i - 0*m for i.
-5
Suppose 5*z + v + 4 = 0, 3*z + 2 = 5*v - 6. Let c be z/(14/(-4) + 3). Let n be (7 + -6 - 2) + 10/2. Solve -c*s + m = 0, -3*m + 0*m = -n*s - 2 for s.
1
Let l(s) = 12*s + 360. Let w be l(-30). Solve 2*f - 5*t + 5 = w, 0 = -f + t - 4 - 0 for f.
-5
Let z be (-18 - (-4 - 5)) + 22. Solve -i = 4*r - 13, 16*r - 3 = -3*i + z*r for i.
-3
Let z(m) = m**3 - 9*m**2 + 22*m - 8. Let t be z(5). Suppose 0 = -t*u + 2*p + 2 + 36, -u - 3*p = -3. Solve a = 5*q + u, 0 + 4 = -2*q for a.
5
Let g = -36 - 20. Let p = -53 - g. Suppose 2*i + 5 = 6*i - s, p*i + 4*s = -20. Solve -5*l + 2 + 23 = i, 4*z - 4*l + 32 = 0 for z.
-3
Let k(b) = 27*b + 7. Let m be k(-3). Let g = m + 134. Suppose 5*p + z - g = -z, 2*z = -3*p + 40. Solve 3*v - w = p, -2*v - 3*v + w = -14 for v.
2
Suppose -18 = -4*x - 3*l - 0*l, 5*x - 4*l = 7. Solve -3*k = 5*h + k - 7, -2*k + x = 3*h for h.
-1
Let m = 35 + -33. Suppose -5*p + 15 = -2*p + m*h, 0 = -3*p + h + 6. Solve 4*t - p*w = 26, 6 = 3*t + 3*w - 3 for t.
5
Let h be (-15 - -6)*(-32)/9. Solve -m + 3 = -3*n, 37*n - h*n - m = -3 for n.
0
Suppose -b + 2 = -4*q, 23 = -q + 3*b + 17. Solve 4*x = 3*p, 4*p - 3*x - x = q for p.
0
Suppose -2*s = -6 - 8. Let k be s/(-1) + (15 - 8). Solve -5*y = p - 6, 2*y + k = -2*p - 4 for p.
-4
Suppose 108 = 84*p - 75*p. Let h = 3 + 2. Solve -5*g - 4*c - 17 = -0*c, -3*g + h*c + p = 0 for g.
-1
Suppose -9*s = -4*s. Let q(i) = 49 + 26 + 112*i**2 - i - 3*i**3 + 4*i - 88*i**2 + 4*i**3. Let x be q(-24). Solve -w + x*a = -11, 3*w + 0*w - a - 9 = s for w.
2
Let d be (2/6)/((-3)/117). Let o be 0 - (3 + d - 0). Suppose 4 - o = -3*x, f + 3*x - 13 = 0. Solve 5*h + f = -2*t, 0*t - 4*t = -16 for h.
-3
Let h = -6416 - -6417. Solve -l - 2*l + x = -h, -5*l + 5 = -x for l.
2
Let v(a) = -6*a**2 - 120*a - 215. Let m be v(-18). Solve 31*t = -2*k + 35*t + 2, -k + m = -5*t for k.
1
Suppose 10*z = 31 + 69. Let c be 4 + z/(-5) + (-7)/(-1). Solve -3*r = -c, -r + 3 = f - 3 for f.
3
Let y(i) = -i**3 + 3*i**2 + 6*i - 15. Let v be y(3). Suppose 0 = 44*l - 111 - 109. Solve -j + l = -5*n, 5*n = v*j + 10*n - 15 for j.
5
Let h be 25 - ((-2)/(-7))/((-38)/(-1197)). Solve 4*o + 0*l - 2*l = -h, -5*o = -l + 14 for o.
-2
Let p = -29 - -29. Suppose p = 3*t - 9, 3*v + 2*t - 16 = 5. Suppose 5*l = l + 16. Solve 2*r + 0*r = 3*d + 7, -v*r + l*d = -7 for r.
-1
Let j = -6547 + 6560. Solve 2*g + 4 = -f, 4*f = 17*g - j*g + 8 for f.
0
Let h be (14/8 - -1) + 327/(-436). Solve -40 = 5*m + 5*j - 20, h*j = 0 for m.
-4
Suppose -3*c - 54 = -5*a, 692*a + 28 = 690*a - 5*c. Solve -2*z - 2*t + a = 0, 9*z = 13*z + t for z.
-1
Let b(y) = -6*y - 162. Let r be b(-36). Suppose r*m + 8 = 50*m + 4*a, 0 = 5*a - 20. Solve 2*k + 7*t = m*t + 17, -t + 9 = -k for k.
-4
Let v be (-2 - (-22)/14)/((-25)/((-350)/(-3))). Solve 5*d - 2*x = -22, -v*d + 26 - 29 = 5*x for d.
-4
Let z be ((-2)/48)/(7/(-56))*9. Solve -4*b = -29*c + 24*c + 12, z*c = -b + 14 for b.
2
Suppose -3*n - 7*d = -6*d - 1, 5*d = -5*n - 15. Let g = 265 - 255. Solve -5*j + g = -5*v, -n*j = -0*v - 5*v - 16 for j.
-2
Suppose x + 135 = -g + 139, 14 = 4*g + 2*x. Solve -w - 14 = -g*z, w + 4*z = 136 - 115 for w.
1
Suppose -4*k + 125 = 113. Suppose b = -c, 5*b = k*b + 2*c + 8. Solve u + 3*x = -5, 19 = 2*u + b*u - x for u.
4
Let x(t) = -t**3 + 12*t**2 + 2*t - 10. Let c be x(12). Solve -5*g - 10 = 0, 5*g = 3*s + c - 33 for s.
3
Let n = -4 - 4. Let b(q) = -q**3 - 8*q**2 - q - 4. Let w be b(n). Let f be 786/655*(-1 - 53/(-3)). Solve w*c = -j - 9 - 3, -5*j - f = 0 for c.
-2
Let w be 5/10*-8 - (-1 + -6). Suppose 0 = i - 3*o - w, 4*i - 5*o = -i + 15. Suppose 2*h - 6 = -0*h. Solve -19 = -3*y - 5*g - 8, -h*y + i*g - 21 = 0 for y.
-3
Suppose 6*y - 576 = -2*y. Let h = y - 76. Let u be (9/(-6) - 14/h) + 1. Solve k + 3*k - 4 = 2*q, u*k + 5*q = 3 for k.
1
Suppose -290 - 698 = -5*b - 21*b. Solve 9*d - 4*d + 2*f = b, 3*f + 18 = 5*d for d.
6
Suppose 13*v - 18*v + 4*c = 12, 3*v + 15 = 5*c. Let n be 2/4*-5*-2. Solve m + 30 = n*z, v*z = 2*m + z + 5 for m.
-5
Let r = 44 - -23. Suppose 3*t = -19 + r. Suppose 12 = -10*d + t*d. Solve 3*j - 19 = -z - 7, 3*j - 12 = -d*z for j.
4
Suppose 16 = -4*f, 2*p - 13 = -f + 3. Suppose 35 - 7 = -4*w. Let h = p + w. Solve h*d - y + 1 = 9, 2*y + 8 = -2*d | {
"pile_set_name": "DM Mathematics"
} |
c.
6
Suppose -3*o = 2*n - 5*n + 348, -5*o = -n + 104. Calculate the remainder when n is divided by 31.
26
Suppose 592 = 5*t - x - 2*x, -t + 4*x = -115. Calculate the remainder when t is divided by 30.
29
Suppose -2*f = -5*f + 9. What is the remainder when 33 is divided by f?
0
Suppose 2*l + 5*x = 46, 8*l - 115 = 3*l + 4*x. Let m = l - 14. What is the remainder when 19 + 2 + (-4 - 0) is divided by m?
8
Let x(m) = 3*m**2 + m + 3. What is the remainder when x(-2) is divided by 7?
6
Suppose p = 4*u - 3, 2*u + 5 = 2*p - 7. Let r = p - -4. Calculate the remainder when ((-9)/(-6))/(2/32) is divided by r.
11
Let f be (-6*1)/3 - -17. Suppose 0 = -l - 0*l + f. What is the remainder when l is divided by 8?
7
Let d(a) be the first derivative of 3/2*a**2 + 2 - 3*a. What is the remainder when 10 is divided by d(3)?
4
Let o be (-1 + 0)/1 + 55. Suppose 4*t + 4*d + 22 - 62 = 0, o = 3*t - 5*d. What is the remainder when t is divided by 5?
3
Let o = 103 - 70. Calculate the remainder when 96 is divided by o.
30
Let v be (-4)/(-6) + 16/48. Calculate the remainder when (-2 + (v - -2))*2 is divided by 1.
0
Let k = 7 + -4. Suppose -k*v - 4*r + 40 = -0*v, r - 75 = -4*v. Suppose n - v = -n. What is the remainder when n is divided by 4?
2
Let q(y) = -2*y - 7. Let p be q(-6). Suppose p*t = t + 112. Calculate the remainder when t is divided by 10.
8
Let i(r) = r**3 + 6*r**2 + 5*r + 4. What is the remainder when i(-4) is divided by 6?
4
Let i be -1*-10*1/2. Suppose -i*v = -298 + 53. Suppose 2*c + 2*y - 44 = 0, -4*c + 0*c = -4*y - 48. Calculate the remainder when v is divided by c.
15
Let p(x) = 2*x**2 - 3*x - 8. Suppose -u + 3 + 13 = 0. Calculate the remainder when p(6) is divided by u.
14
Let b = -5 + 5. Suppose 0 = -b*n + n - 67. What is the remainder when n is divided by 23?
21
What is the remainder when (-1)/((-4)/(-1404)*-3) is divided by 30?
27
Suppose 81 - 1 = 4*c - 4*q, -3*c + 5*q = -54. What is the remainder when 136 is divided by c?
21
Let f = -14 + 17. Suppose 2*d + 6 = 0, 3*j = f*d + d + 96. What is the remainder when j is divided by 6?
4
Suppose 0 = -7*n + 6 + 288. What is the remainder when 335 is divided by n?
41
Suppose -2*w = 82 - 322. Suppose l - s = 39, w + 71 = 5*l - s. Calculate the remainder when l is divided by 10.
8
Suppose 4*b = -b - 185. Let h = b - -56. Let u(x) = -x**3 - x**2 - x + 56. Calculate the remainder when u(0) is divided by h.
18
Let l = 3 + -3. Suppose -3*r + l*w = 2*w - 138, -214 = -5*r + 2*w. What is the remainder when r is divided by 23?
21
Suppose -46*h = -47*h + 20. Calculate the remainder when 96 is divided by h.
16
Let j(x) = x**2 + 2*x + 4. Let n = -18 - -64. Calculate the remainder when n is divided by j(-4).
10
Let t(a) = -a - 3. Let o be t(0). Let n be ((-2)/(-4))/(1/18). What is the remainder when (-3)/n*o - -6 is divided by 4?
3
Let p = 38 - 32. Calculate the remainder when 9 is divided by p.
3
Suppose 5*r - 4*z - 7 = 5, 5*z + 15 = 4*r. Suppose -2*q - 2*n + 12 = r, 5*n + 0*n + 42 = 3*q. What is the remainder when 17 is divided by q?
8
Suppose 2*s + 3*s + 24 = -3*j, j + 9 = -2*s. Calculate the remainder when (-111)/(-3) + 6/s is divided by 9.
8
Let w = -2 + 3. Calculate the remainder when (8/(-12))/(w/(-15)) is divided by 3.
1
Let l(d) = d**3 - 21*d**2 - 42*d - 2. Calculate the remainder when l(23) is divided by 31.
28
Let r(m) = -m**3 - 5*m**2 + 10*m + 10. Let y = 39 - 8. What is the remainder when r(-8) is divided by y?
29
Calculate the remainder when 99 is divided by ((-45)/(-18))/(1/4).
9
Suppose -2*x + 3*d = -14, -2*x - 2*d + 0*d = -24. Suppose 4*o - x = -o. What is the remainder when -4*(-4)/12*3 is divided by o?
0
Calculate the remainder when 1/(-5) - 606/(-30) is divided by 11.
9
Suppose 2*j - 36 = -2*c + j, 5*j = -20. Suppose f - 115 = -3*m, -39 = 2*m - 3*m - f. What is the remainder when m is divided by c?
18
Let k(m) = 20*m**2 + 5*m**2 + 8*m**2 + 15*m**2. What is the remainder when k(-1) is divided by 25?
23
Let t = -1 + -4. Let a = t - -12. Suppose 2*p = 2*n + 10, -2*n + a = 2*p - n. What is the remainder when 9 is divided by p?
1
Let i be ((-3)/2)/(3/(-20)). Let w = 62 + -45. Calculate the remainder when w is divided by 3*i/3 + -1.
8
What is the remainder when 60*(21/9 - 2) is divided by 8?
4
Let s(x) = 3*x**2 + 8*x - 7. What is the remainder when s(8) is divided by 36?
33
Calculate the remainder when 29 is divided by (-20)/(-6)*(1 + 2).
9
Let o(w) = -3*w + 3. What is the remainder when 47 is divided by o(-3)?
11
Let y = 40 - 14. What is the remainder when y is divided by 15?
11
Suppose -4*i + p + 192 = 0, -5*i - 5*p + 85 = -180. Calculate the remainder when i is divided by 13.
10
Let w = 5 + -4. Calculate the remainder when w is divided by 1.
0
Let c = -37 - -55. What is the remainder when c is divided by 10?
8
Suppose -2*p + 18 = -0*p. Suppose 6*v - 102 = -0*v. What is the remainder when v is divided by p?
8
Suppose 0 = -11*l + 3*l + 48. Calculate the remainder when 39 is divided by l.
3
Let t = -4 - -15. What is the remainder when t is divided by 5?
1
Let b(z) = z**3 - 3*z**2 + 8*z + 7. Let w(c) = 3*c**3 - 10*c**2 + 24*c + 20. Let v(t) = 17*b(t) - 6*w(t). Calculate the remainder when v(6) is divided by 20.
19
Let t = 8 + -2. Suppose -f + t = 2*f. Calculate the remainder when f*2*(-60)/(-16) is divided by 8.
7
What is the remainder when (8/6)/((-14)/(-273)) is divided by 15?
11
Suppose s + 20 = 5*s. Calculate the remainder when s is divided by ((-8)/(-10))/(2/5).
1
What is the remainder when 59 is divided by -6*2/4 - -34?
28
Suppose 2*m + 5*a = -24, -4*m + 4*a - 24 = 2*a. Let d(t) = t**2 + t - 10. What is the remainder when d(m) is divided by 9?
5
Let z = 60 + -20. Let j = 4 + 7. Suppose s = j + 10. Calculate the remainder when z is divided by s.
19
Let q be (-3)/6*-1*10. Suppose -f = -q*f + 52. Let h(u) = -u**3 + 6*u**2 - 5*u + 4. What is the remainder when f is divided by h(5)?
1
Let o = -46 + 49. What is the remainder when 14 is divided by o?
2
Let o = 28 - 6. Calculate the remainder when 87 is divided by o.
21
Let y(h) = 19*h**3 + 1. What is the remainder when y(1) is divided by 11?
9
Suppose 0 = 17*f - 10*f - 224. Calculate the remainder when 124 is divided by f.
28
Let q(t) = t**3 + 3*t**2 + t + 1. Calculate the remainder when (-2)/3 - 812/(-12) is divided by q(2).
21
Suppose 2*s + 123 = -s. Suppose 0 = -4*j + 70 + 206. Let w = s + j. What is the remainder when w is divided by 15?
13
Suppose 92 = 16*n + 12. Suppose s - 3 = 4. Calculate the remainder when s is divided by n.
2
Suppose -2*f = -5*s - f + 41, 0 = -f + 4. Let p = 2 - -5. Let i = s + p. Calculate the remainder when 45 is divided by i.
13
Let m = -8 + 29. Let j(r) = 8 + r**2 + 3 + 2*r + 1 - 3*r. What is the remainder when m is divided by j(0)?
9
Suppose -4*u + u + 12 = 0. Suppose 3*x + 6 = -2*y, -y - 4 = 3*y + u*x. Let a(j) = -j + 6. What is the remainder when 7 is divided by a(y)?
1
Suppose 9 = 5*z - 3*f, 4*z - 17 = -z - f. What is the remainder when 1/3 - (-35)/z is divided by 5?
2
Let b(v) = -v - 1. Let a = 4 - 0. Suppose 25 = -u - a*u. What is the remainder when b(u) is divided by 3?
1
Suppose 4*v - 4*p = -0*p + 16, 5*v + 2*p - 13 = 0. Let u(l) = -8*l**2 + 9 - 3*l**v + 2*l**3 - 5*l - l. Calculate the remainder when 2 is divided by u(-7).
0
Let s be ((-1)/2)/(6/24). Calculate the remainder when (-294)/(-10) + (-2)/5 is divided by 9 - s*2/4.
9
Suppose 3*q - 26 = -5. Suppose 0 = q*n - 2*n - 10. Suppose 0 = -3*c + n*c, -h - 5*c = -32. What is the remainder when h is divided by 11?
10
Suppose 3 = -3*j, -5*d = -4*j + 3*j - 161. What is the remainder when 91 is divided by d?
27
Suppose -4 = 2*l - 0. Calculate the remainder when 34 is divided by (l + 8)*(-12)/(-8).
7
Suppose 26 = -4*z + 134. Let c be -1 + 3 - 2 - 2. Calculate the remainder when z is divided by 2 + 11 - (1 + c).
13
Let r(p) = p**3 + 6*p**2 + 4*p. Calculate the remainder when ((-38)/(-3))/((-6)/(-9)) is divided by r(-5).
4
Let d be (-57)/5 + (-2)/(-5). Let x = 25 + d. Calculate the remainder when 67 is divided by x.
11
Suppose 5*r = 3 + 17. Let j = r - 5. Calculate the remainder when (-2 - j)*(-46)/2 is divided by 8.
7
Let m be 12/(-10)*(-10)/3. Let s = m - -16. Calculate the remainder when s is divided by 7.
6
Let k = -23 + 32. Suppose -3*u + 10 + 68 = 0. What is the remainder | {
"pile_set_name": "DM Mathematics"
} |
*10) and 4?
572
Suppose -5*v = p + 2*p - 35, -47 = -5*p + 3*v. Suppose 0 = 4*d - 80 - 112. Suppose d = -4*i + 7*i. What is the smallest common multiple of p and i?
80
Suppose 28*g - 868 = 1232. What is the lowest common multiple of g and 165?
825
What is the least common multiple of 53 - 50 - (1*-2 - 23) and 105?
420
Suppose 2*v = -4*k - 40, 2*k + 92 = -2*v - 2*v. What is the common denominator of ((-103)/v + -4)*-68 and 34/7?
42
Let j = 12/49 + 79/1078. Calculate the common denominator of j and 77/4.
44
Suppose -31*d = -30*d. Suppose d = -2*o - 3*v + 2*v + 39, -5*o = -3*v - 81. Let n(u) = -u**2 + 9*u - 6. Calculate the smallest common multiple of n(7) and o.
72
Let j = -397979/65 + 6123. Calculate the common denominator of (265/50 - 6)*11 and j.
130
Let n = 149 + -125. Let t = 53403/10 + -5348. Calculate the common denominator of (968/(-70))/(-2) - n/(-84) and t.
10
Suppose -4*x + 78 = -3*x. Suppose -x + 30 = -3*m. Find the common denominator of 87/2 and (474/m)/((-21)/(-4)).
14
Let i be (-3326)/(-3)*(-39)/(-26). Let v = i - 36595/22. Calculate the common denominator of v and -33/14.
154
Suppose 0 = 4*t + 2*s - s + 117, 0 = 2*t + 4*s + 48. Let b = -469729/18 + 26089. Calculate the common denominator of b and ((-236)/t)/(12/5).
18
Let y = -3709/184 - -708/23. Calculate the common denominator of 54/(-8)*8/34 and y.
136
Calculate the smallest common multiple of 30 and (220/(-77))/((-5)/((-175)/(-2))).
150
Suppose 3*u = -3*b + 7*b - 659, -2*u - 10 = 0. What is the lowest common multiple of b and 6?
966
Let g(n) = 28*n - 51. What is the smallest common multiple of g(3) and 6?
66
What is the lowest common multiple of 28 and 7 + 10*7/(-14)?
28
Let c(k) = 83*k**2 + 16*k + 1. Calculate the smallest common multiple of 187 and c(-1).
748
Let h = -32 + 52. Calculate the smallest common multiple of 18 and h.
180
Let y be ((-2)/5498)/(12/36). Let j = 228113/49482 - y. Find the common denominator of j and 2/4 - (-275)/44.
36
Let b = -13 + 41. Suppose -3*l - b = -5*l. Calculate the lowest common multiple of 22 and l.
154
Let v = -18 - -21. Suppose -139 = 5*q - 39. Let i = -11 - q. Calculate the lowest common multiple of i and v.
9
Let h = -131/30 + 1/5. Find the common denominator of 40/9 and h.
18
Let o = 8620 + -68869/8. What is the common denominator of 5/10 + 53/(-12) and o?
24
Let f = -166285/84936 + -2/3539. Calculate the common denominator of 73/60 and f.
120
What is the common denominator of -3 + 93/(-33) + (-10)/(-5) and -119/6?
66
Let t = 7967/4 + -1979. Let z = 4201/2 - 2052. Calculate the common denominator of z and t.
4
Suppose 3*p + 15 = -30. Let d be p/(-2)*251/2. Let b = 931 - d. What is the common denominator of b and 97/20?
20
Suppose -25*u = -26*u. Suppose u = -3*d - 2*h + 23, -h + 3 = -d + 4. Calculate the smallest common multiple of d and 18.
90
Suppose 0 = c - 0*f + 3*f - 17, -3*c + 3 = -3*f. Suppose 0 = 345*j - 369*j + 1080. Calculate the lowest common multiple of c and j.
45
Suppose -33 = -8*p + 47. Calculate the smallest common multiple of p and 141.
1410
Calculate the common denominator of -127/750 and 3 - (5031/(-18))/(-13).
750
Let y be (0 - -10)*(11 - 0). Find the common denominator of 1/15 and (-580)/y + 0 + 1.
165
Let i = -1/128501 + -8352241/41634324. Calculate the common denominator of 91/135 and i.
1620
Let w = -564 - -615. What is the lowest common multiple of w and 1?
51
Suppose 1136*n - 1143*n + 147 = 0. Suppose 10 + 2 = 3*p. What is the least common multiple of p and n?
84
Let o(c) = -c**3 - 6*c**2 - 3*c + 9. Let u be o(-6). Let f = u - 39. What is the common denominator of (-900)/8*1/f and 109/10?
40
Let h(w) = 4*w + 24. Let t be h(-5). Suppose 2*b + 4*x - 28 = 0, 2*b - t*x + 44 = 5*b. What is the least common multiple of 14 and b?
112
Suppose -2*j - 2*j + 140 = 0. Let z = j + -23. What is the smallest common multiple of (8/5)/(4/50) and z?
60
Suppose l - 380 = 6*l. Calculate the common denominator of 53/3 and (19/l)/((-1)/(-2)).
6
Let a be (2/(-5))/((-9)/45). Let t be 0 + (a - 0) - 1. Suppose -r + 3*x - t + 4 = 0, 0 = 4*r + 5*x - 29. What is the smallest common multiple of r and 20?
60
What is the common denominator of 20*10*1/68 and 183/54*(-10)/5?
153
Calculate the common denominator of 1244/(-150) - 56/(-7) and -41/6.
150
What is the common denominator of 95/76 - (-167)/60 and -125/6?
30
What is the common denominator of 145/12 and -3 + (-872)/(-264) + (4 - 2)?
132
What is the smallest common multiple of (8400/(-1100))/(4/(-22)) and 60?
420
Suppose 14*m = 12*m - 2*z + 46, 25 = 5*z. Calculate the lowest common multiple of m and 38.
342
Suppose 0 = 6*m - 9*m + 9. Suppose -3*h + 76 = h - s, -m*h = 3*s - 72. What is the common denominator of h/(-15)*10/8 and -1/6?
6
Let c = -911 - -918. What is the lowest common multiple of 63 and c?
63
Let k be 22/(-56)*4562/(-1). Let q = 1785 - k. Let d = -31617/18610 - 2/1861. Find the common denominator of q and d.
70
Let r be (-107)/(-5) + (-9)/(-15). Let c = -15 + r. What is the least common multiple of (-22)/(-5) - (-2)/(-5) and c?
28
Let w = 206237/30 - 6877. What is the common denominator of 67/30 and w?
30
Let z(t) = 3*t**2 + 3*t - 3. Calculate the lowest common multiple of 5 and z(-3).
15
Let g = -89 - -152. Let t = 125 - g. What is the common denominator of 127/6 and t/(-20) + (-4 - -2)?
30
Suppose -3*p + 112 = p. Suppose 83 = 5*x + p. Suppose 5*y - 37 = -r, 0 = -4*y - 3*r + 12 + x. What is the lowest common multiple of y and 14?
56
Let t be (-12 - -10)*34/(-4). Let y = t + -11. What is the common denominator of y/8*(-78)/(-27) and -31/6?
6
Let t = 32281/2773800 - -2/69345. What is the common denominator of t and -41/8?
600
Let j be (-144722157506646)/(-564840) - (-2)/(-5). Let g = 256217971 - j. Let v = g - -2/4707. What is the common denominator of v and -77/26?
156
Suppose -2*k - 9 = -3*k + 5*a, -2*a = 0. Calculate the smallest common multiple of 27 and k.
27
Suppose -11*x + 28 = -27. Suppose -5*f - 4*a + 70 = 0, 0*f + 4*f + x*a - 65 = 0. What is the smallest common multiple of 14 and f?
70
Let r = 4139 + -29020/7. Let g be 1/((-1)/(-3)) - -1. Calculate the common denominator of 3/13 - -4 - g and r.
91
Suppose -5*w + 3 = -3*j, -w - 3*j - 3 = 2*w. Suppose -o = -z - 35, w = 3*z + o + o + 110. Calculate the common denominator of (-501)/z + (-3)/(-9) and -73/12.
12
Suppose -406 = c - 3*c + 2*h, -2*h + 394 = 2*c. What is the lowest common multiple of c/9 + 10/(-45) and ((-6)/5)/(14/((-5040)/27))?
176
Let q = -118 + 121. Suppose 0 = 5*u + v - 117, -2*u - 3*v = -41 + 2. What is the smallest common multiple of q and u?
24
What is the common denominator of -33/8 and (2/(2720/12))/((-12)/530)?
136
Suppose 33 = -3*t + 4*t. Suppose t*s - 31*s - 28 = 0. What is the lowest common multiple of s and 22?
154
Let r(o) = -o + 9. Let v be r(8). Let s = 9536 - 190761/20. What is the common denominator of s and (179 - v)*2/48?
60
What is the common denominator of 17/33 and ((-145)/(-66) + -2)*34 - 5?
33
Suppose 45*n - 43*n + 8 = 0. Find the common denominator of (-4 - (-11 - -6))*n/30 and 23/24.
120
Suppose 3*h + 2*x + 148 + 117 = 0, -3*h = -4*x + 271. Let k = h - -891/10. Calculate the common denominator of 40/31 and k.
310
What is the lowest common multiple of 35 and (-64)/(-56)*(2 - 62/(-4))?
140
Suppose 0 = -2*o - 5*a + 116, -5*a + 2 + 18 = 0. Let t = 6 - 3. Calculate the lowest common multiple of o and t.
48
Let d be 3 - 0 - (-106248)/(-12496). Let n = d + 2/781. What is the common denominator of n and -29/9?
18
Let k(a) = -9*a**2 - 2*a + 1. Let w be k(1). What is the common denominator of -33*w*(-3)/288 and 95/2?
16
Let w = -58379/110 - -2642/5. What is the common denominator of w and (-5)/(-6)*79/5?
66
Let d be (0 + (-3252)/232)*1. Let y = -72/29 + d. What is the common denominator of y and ((-141)/(-20))/((-6)/(-4))?
10
Let v = 16 + -7. Suppose 3*b - 49 = -19. Calculate the lowest common multiple of b and v.
90
Let f be 4/7 + 6 + 151/(-7). What is the smallest common multiple of 22 and ((6/f)/(-1))/(2/190)?
418
Let r = 2121 - 140087/66. Calculate the common denominator of r and -121/54.
594
Let c = -2664665/39 - -68335. Let g = c - -27/13. Calculate the common denominator of 38/3 and g.
3
Calculate the least common multiple of ((-8)/96*4)/((-1)/24) and -16*(1/2)/(-1).
8
Let d = 29 | {
"pile_set_name": "DM Mathematics"
} |
921437
Calculate the least common multiple of 257607 and 135.
1288035
Calculate the least common multiple of 100713 and 1770.
1007130
Calculate the smallest common multiple of 47068 and 3444.
141204
Calculate the least common multiple of 32064 and 66.
352704
Find the common denominator of -53/207756 and 74/363573.
1454292
What is the least common multiple of 23725 and 25?
23725
What is the smallest common multiple of 20668 and 41336?
41336
Find the common denominator of 37/14904 and 109/756.
104328
What is the common denominator of -121/5900 and 51/532?
784700
Calculate the common denominator of -65/16 and -62/7131.
114096
What is the least common multiple of 20595 and 6865?
20595
Calculate the least common multiple of 356 and 1068.
1068
Calculate the common denominator of 69/5254 and 53/284.
10508
What is the smallest common multiple of 4 and 20978?
41956
What is the common denominator of 101/24900 and 149/60?
24900
What is the common denominator of 173/49320 and 133/9864?
49320
What is the lowest common multiple of 59276 and 12264?
355656
What is the least common multiple of 486630 and 3330?
18005310
What is the smallest common multiple of 7718 and 42449?
84898
What is the least common multiple of 78174 and 39087?
78174
What is the common denominator of 107/10374 and 61/16758?
217854
What is the least common multiple of 3380 and 8112?
40560
What is the common denominator of -61/216818 and -31/98?
1517726
Calculate the smallest common multiple of 3705 and 3249.
211185
Find the common denominator of -7/201665 and -12/55.
2218315
Calculate the common denominator of 15/19642 and 41/1932.
117852
Find the common denominator of 113/34596 and -63/496.
138384
What is the lowest common multiple of 162 and 42?
1134
What is the lowest common multiple of 42 and 63462?
63462
Calculate the smallest common multiple of 59052 and 342.
177156
Find the common denominator of -117/135394 and 101/2926.
1489334
Calculate the smallest common multiple of 118944 and 136.
2022048
What is the lowest common multiple of 668 and 17984?
3003328
What is the common denominator of 54/455 and 1/255255?
255255
Calculate the lowest common multiple of 40006 and 10.
200030
Calculate the smallest common multiple of 36 and 57856.
520704
Calculate the smallest common multiple of 18819 and 18819.
18819
Calculate the smallest common multiple of 6455 and 11619.
58095
Find the common denominator of -151/42 and 13/4659.
65226
What is the common denominator of -53/54934 and -63/94886?
1043746
Calculate the smallest common multiple of 176 and 128480.
128480
Calculate the smallest common multiple of 22 and 852650.
9379150
What is the smallest common multiple of 801060 and 130?
801060
Calculate the least common multiple of 1018 and 14.
7126
What is the lowest common multiple of 14 and 980532?
980532
What is the common denominator of -34/4543 and 19/22715?
22715
Calculate the smallest common multiple of 33 and 14394.
158334
What is the smallest common multiple of 358090 and 214854?
1074270
Calculate the common denominator of -27/500 and 17/620.
15500
What is the lowest common multiple of 84 and 224?
672
What is the common denominator of -5/1596 and -17/210?
7980
What is the least common multiple of 2310 and 63723?
4460610
What is the lowest common multiple of 26 and 239980?
239980
Calculate the least common multiple of 1110 and 1665.
3330
What is the common denominator of 11/165800 and 31/56?
1160600
Find the common denominator of -11/102 and 151/2808.
47736
Find the common denominator of 38/45 and -131/960.
2880
What is the smallest common multiple of 655342 and 1392?
15728208
What is the common denominator of 149/690 and 113/138?
690
Calculate the common denominator of 21/62774 and -109/10.
313870
Calculate the common denominator of 1/16362 and 23/3556008.
10668024
What is the common denominator of 127/18 and 61/165258?
165258
Calculate the smallest common multiple of 10 and 6901.
69010
What is the lowest common multiple of 32 and 52320?
52320
Calculate the common denominator of 29/73260 and -199/19800.
732600
What is the common denominator of -67/400 and 117/8660?
173200
What is the common denominator of -1/38454 and 77/13260?
384540
What is the lowest common multiple of 36582 and 8442?
109746
Calculate the common denominator of 17/10416 and 20/19.
197904
Calculate the common denominator of 29/359170 and -117/1078.
3950870
Calculate the lowest common multiple of 840 and 11928.
59640
What is the smallest common multiple of 6032 and 116?
6032
Calculate the common denominator of -47/540 and 149/56520.
169560
Calculate the lowest common multiple of 266112 and 1408.
266112
What is the smallest common multiple of 266161 and 2632?
2129288
Calculate the smallest common multiple of 10305 and 4580.
41220
Calculate the least common multiple of 140840 and 5030.
140840
What is the common denominator of 58/7329 and -143/7686?
2682414
What is the smallest common multiple of 68 and 45832?
45832
What is the smallest common multiple of 596 and 142?
42316
Find the common denominator of 97/130 and -69/140582.
702910
Calculate the smallest common multiple of 85194 and 9466.
85194
Find the common denominator of -131/15450 and -1/84975.
169950
What is the smallest common multiple of 270702 and 330858?
2977722
What is the least common multiple of 26 and 246730?
3207490
What is the least common multiple of 463 and 166680?
166680
What is the smallest common multiple of 4 and 16320?
16320
What is the smallest common multiple of 50310 and 11180?
100620
Calculate the smallest common multiple of 7959 and 10612.
31836
Calculate the common denominator of -32/286919 and -59/90606.
1721514
Find the common denominator of 11/285 and -89/229332.
21786540
Calculate the common denominator of 38/267 and 49/2343.
208527
Calculate the common denominator of 87/604 and 51/1510.
3020
What is the common denominator of -41/1674 and -191/19530?
58590
Find the common denominator of -27/1705 and -123/1212100.
13333100
Calculate the least common multiple of 41504 and 15564.
124512
What is the common denominator of 64/88767 and -70/33?
976437
What is the least common multiple of 18 and 3878?
34902
Find the common denominator of 47/2656 and -73/5312.
5312
Calculate the smallest common multiple of 184590 and 4102.
184590
Calculate the smallest common multiple of 3234 and 3234.
3234
What is the common denominator of 71/29512 and -11/72?
265608
Calculate the smallest common multiple of 296 and 1562.
231176
Calculate the least common multiple of 524817 and 583130.
5248170
What is the lowest common multiple of 4624 and 5627?
1530544
Calculate the common denominator of 51/4 and -55/15613.
62452
What is the least common multiple of 2347 and 49287?
49287
What is the common denominator of 69/8965 and -54/11?
8965
Find the common denominator of -3/1682 and -123/170.
142970
What is the common denominator of -37/13069 and -20/11?
143759
What is the common denominator of -13/1484 and -89/1484?
1484
Calculate the least common multiple of 31654 and 3094.
411502
What is the common denominator of -149/642 and -59/12?
1284
Calculate the least common multiple of 4 and 399.
1596
What is the least common multiple of 2523 and 381?
320421
Calculate the least common multiple of 337279 and 7.
2360953
What is the common denominator of 79/24 and -65/3741?
29928
What is the common denominator of -37/273741 and 28/11?
3011151
Find the common denominator of 58/523225 and -97/1674320.
8371600
What is the smallest common multiple of 268 and 859?
230212
What is the least common multiple of 1005 and 2415?
161805
What is the common denominator of 103/148314 and -73/16?
1186512
What is the common denominator of -35/19 and -51/16321?
16321
Calculate the common denominator of -10/731 and 35/4199.
180557
Calculate the common denominator of -7/479 and -101/286.
136994
Find the common denominator of 37/1170 and -52/4851.
630630
What is the common denominator of -3/23452 and 17/41041?
164164
Find the common denominator of -57/1233617 and 65/336441.
3700851
Calculate the least common multiple of 462 and 66.
462
Calculate the common denominator of -113/2484 and -7/198.
27324
What is the common denominator of 69/40 and -13/120652?
1206520
Find the common denominator of -5/44631 and | {
"pile_set_name": "DM Mathematics"
} |
multiple of 22?
True
Does 83 divide 17765626?
False
Is 9 a factor of 363009175?
False
Is 4 a factor of 121284306?
False
Is 11397216 a multiple of 16?
True
Is 98 a factor of 90412990?
False
Is 108 a factor of 4245516828?
True
Does 99 divide 5803083?
True
Is 2068 a factor of 43835396?
True
Does 10 divide 1412849970?
True
Does 18 divide 44627238?
True
Does 70 divide 107640820?
True
Does 10 divide 343465009?
False
Is 694770275 a multiple of 25?
True
Does 228 divide 211473702?
False
Is 72739765 a multiple of 881?
True
Is 9 a factor of 318632488?
False
Does 336 divide 263987029?
False
Does 19 divide 303975490?
True
Does 845 divide 78805545?
True
Is 117297356 a multiple of 1249?
False
Does 322 divide 37388708?
True
Is 1400 a factor of 17931200?
True
Is 58 a factor of 526369836?
True
Is 110078150 a multiple of 13?
True
Is 3073 a factor of 109048807?
False
Is 178161238 a multiple of 118?
True
Is 170 a factor of 113308574?
False
Is 24 a factor of 21552120?
True
Does 14 divide 27615126?
True
Is 62 a factor of 704819698?
False
Does 2272 divide 2750512736?
True
Does 1002 divide 148486380?
True
Is 55620832 a multiple of 2272?
True
Does 34 divide 72114408?
True
Is 8695024169 a multiple of 13?
True
Does 579 divide 33494571?
True
Is 1464454059 a multiple of 603?
False
Is 3138 a factor of 165620502?
True
Does 21 divide 1452871056?
True
Does 42 divide 159469453?
False
Is 36691491 a multiple of 2?
False
Does 332 divide 50481596?
True
Is 8 a factor of 38597416?
True
Is 94260964 a multiple of 7?
True
Is 2077 a factor of 727640808?
False
Is 1064 a factor of 663746599?
False
Is 2099482 a multiple of 321?
False
Is 334 a factor of 180075098?
True
Does 7331 divide 1223301977?
True
Does 687 divide 3201753?
False
Is 56 a factor of 685508176?
False
Is 34 a factor of 30929278?
False
Is 1192 a factor of 60335464?
True
Is 104436426 a multiple of 38?
True
Is 58692725 a multiple of 455?
True
Is 25926742 a multiple of 2498?
True
Is 1448375268 a multiple of 6?
True
Does 98 divide 153444284?
True
Does 32 divide 1404812288?
True
Is 224 a factor of 10092544?
True
Does 79 divide 175073431?
False
Does 423 divide 420971715?
True
Does 5 divide 118123270?
True
Is 18714674 a multiple of 11?
True
Is 21 a factor of 53270559?
False
Is 378809513 a multiple of 1081?
False
Is 16 a factor of 44852832?
True
Is 51 a factor of 6312168?
True
Is 671511058 a multiple of 3?
False
Is 74 a factor of 24372936?
True
Is 91897078 a multiple of 6958?
False
Is 8 a factor of 22437040?
True
Does 17 divide 1415736840?
False
Does 1192 divide 31707200?
True
Does 8 divide 473102250?
False
Is 733 a factor of 20590146?
False
Does 1563 divide 199015227?
True
Is 323 a factor of 876598785?
False
Does 459 divide 36315162?
True
Does 547 divide 1240891769?
False
Does 126 divide 2248109?
False
Is 134613850 a multiple of 350?
True
Does 2051 divide 90621384?
True
Is 1418753585 a multiple of 995?
True
Is 670280 a multiple of 10?
True
Is 18 a factor of 827853848?
False
Is 11 a factor of 447865468?
False
Is 85197182 a multiple of 19?
False
Is 644413000 a multiple of 440?
True
Does 6718 divide 791106618?
False
Is 220554725 a multiple of 906?
False
Does 6 divide 947937462?
True
Is 1156 a factor of 42083167?
False
Is 13309608 a multiple of 312?
True
Does 13 divide 24309922?
True
Is 106 a factor of 278023622?
False
Does 22 divide 103242854?
True
Does 687 divide 740270477?
False
Is 2928126 a multiple of 18?
False
Does 1712 divide 36402256?
True
Is 82442163 a multiple of 17?
True
Is 382508028 a multiple of 12?
True
Is 3951922 a multiple of 442?
True
Is 65672071 a multiple of 910?
False
Is 330018089 a multiple of 206?
False
Does 73 divide 2398767225?
True
Is 14082450 a multiple of 446?
True
Does 5507 divide 1297416158?
True
Is 57 a factor of 630412235?
False
Is 148 a factor of 39508452?
True
Is 14166329 a multiple of 128?
False
Does 94 divide 71352392?
True
Does 100 divide 2057667000?
True
Is 210 a factor of 56761320?
True
Does 30 divide 6973359?
False
Is 13443836 a multiple of 711?
False
Does 30 divide 487382921?
False
Is 6854003 a multiple of 375?
False
Is 472108896 a multiple of 168?
True
Is 1493624722 a multiple of 8065?
False
Is 63 a factor of 27385533?
True
Does 39 divide 752321512?
False
Does 111 divide 1358085555?
True
Does 79 divide 192767268?
True
Does 2048 divide 426104832?
True
Is 4 a factor of 176161604?
True
Is 44 a factor of 957531092?
False
Is 398 a factor of 37873680?
True
Is 16280110 a multiple of 75?
False
Is 332361330 a multiple of 15?
True
Does 5068 divide 354939382?
False
Is 23 a factor of 22741986?
True
Does 61 divide 67404512?
True
Is 64 a factor of 7239336?
False
Is 102 a factor of 106319050?
False
Is 23 a factor of 55571607?
False
Does 9975 divide 1577526300?
True
Does 279 divide 258782776?
False
Is 9 a factor of 27265743?
True
Is 1491807 a multiple of 6?
False
Is 229928788 a multiple of 394?
False
Is 180903814 a multiple of 116?
False
Is 2786950412 a multiple of 8439?
False
Is 224459502 a multiple of 123?
True
Is 44728922 a multiple of 68?
False
Is 22 a factor of 126452304?
True
Is 131755152 a multiple of 28?
False
Does 7 divide 250477646?
False
Does 27 divide 10835127?
True
Is 281389524 a multiple of 78?
True
Does 1067 divide 703988461?
True
Is 32 a factor of 97636367?
False
Is 12 a factor of 2187706628?
False
Does 1260 divide 27581400?
True
Is 807 a factor of 63428339?
False
Is 388923552 a multiple of 68?
True
Is 59 a factor of 99989083?
False
Is 1478 a factor of 33144150?
True
Does 860 divide 885984162?
False
Is 1011 a factor of 475001975?
False
Is 511172436 a multiple of 140?
False
Does 46 divide 634150769?
False
Does 1321 divide 437919426?
True
Does 88 divide 5402717988?
False
Is 3 a factor of 60461517?
True
Is 1858 a factor of 26025006?
True
Is 1072776798 a multiple of 9?
True
Is 3 a factor of 9148350?
True
Is 50422911 a multiple of 1279?
False
Is 7 a factor of 2523566?
False
Does 2038 divide 461031973?
False
Does 26 divide 30999514?
True
Does 191 divide 50373194?
True
Is 64 a factor of 6219328?
True
Is 2582781 a multiple of 14?
False
Does 13 divide 2597738176?
False
Does 1811 divide 379562057?
True
Is 11184300 a multiple of 100?
True
Does 260 divide 74205934?
False
Is 557 a factor of 341727298?
True
Does 56 divide 972714792?
True
Does 12 divide 22691832?
True
Is 924 a factor of 125669838?
False
Is 2237632975 a multiple of 5825?
True
Is 55 a factor of 1172659070?
True
Does 10 divide 3395907735?
False
Is 138237341 a multiple of 4?
False
Is 183 a factor of 54951632?
False
Is 102 a factor of 50680331?
False
Does 31 divide 2276743521?
False
Does 1381 divide 60573422?
True
Is 908061404 a multiple of 615?
False
Is 578854364 a multiple of 74?
False
Is 626 a factor of 20325672?
False
Is 2778559489 a multiple of 6197?
False
Is 6 a factor of 1180109?
False
Is 9 a factor of 1483965?
True
Does 53 divide 40885092?
False
Is 205537690 a multiple of 410?
False
Does 19 divide 334457?
True
Does 688 divide 12496832?
True
Is 13438100 a multiple of 100?
True
Is 4935823 a multiple of 67?
True
Is 7 a factor of 3814043?
False
Is 62920624 a multiple of 16?
True
Is 704 a factor of 94100767?
False
Is 91918770 a multiple of 190?
True
Is 3611140 a multiple of 38?
True
Does 9 divide 18151415?
False
Does 2766 divide 816849588?
True
Does 35 divide 964290880?
True
Is 397156194 a multiple of 18?
True
Does 2200 divide 642254478?
False
Is 719307895 a multiple of 5599?
False
Is 338389568 a multiple of 22?
True
Does 118 divide 13306506?
True
Is 305866277 a multiple of 264?
False
Is 9 a factor of 1825372?
False
Is 116 a factor of 17196304?
True
Is 756 a factor of 74291364?
True
Does 1115 divide 16488620?
True
Is 1431558 a multiple of 23?
False
Does 428 divide 45672173?
False
Is 650 a factor of 22037609?
False
Does 86 divide 1160767542?
True
Does 18 divide 887873436?
True
Does 690 divide 9814229?
False
Is 5177730888 a multiple of 9?
True
Does 235 divide 220655365?
True
Does 3236 divide 61564900?
True
Is 61 a factor of 16144499?
False
Does 60 divide 4745000970?
False
Is 110653400 a multiple of 40?
True
Is 5141144974 a multiple of 14?
True
Is 49 a factor of 117486859?
True
Is 403 a factor of 66652089?
False
Is 132017513 a multiple of 109?
False
Is 413622093 a multiple of 501?
True
Does 17 divide 553068146?
False
Is 37 a factor of 268327441? | {
"pile_set_name": "DM Mathematics"
} |
617184ng to milligrams.
0.000005617184
How many years are there in seven quarters of a millennium?
1750
What is 3/25 of a litre in millilitres?
120
How many nanometers are there in 7.125918cm?
71259180
What is twenty-seven halves of a micrometer in nanometers?
13500
What is one tenth of a millennium in centuries?
1
Convert 374.25672 minutes to days.
0.2599005
How many kilograms are there in 0.8466189 milligrams?
0.0000008466189
How many meters are there in 15/4 of a kilometer?
3750
What is 543652.2 decades in months?
65238264
What is eleven tenths of a millennium in centuries?
11
What is one fifteenth of a millennium in months?
800
What is six fifths of a litre in millilitres?
1200
How many milliseconds are there in 458.3272 nanoseconds?
0.0004583272
How many hours are there in 720284.6 days?
17286830.4
What is 9.953971ml in litres?
0.009953971
What is one sixth of a minute in seconds?
10
How many milligrams are there in seven quarters of a gram?
1750
What is 91.89157l in millilitres?
91891.57
What is 41/2 of a tonne in kilograms?
20500
How many millilitres are there in 15/4 of a litre?
3750
What is 3/40 of a microgram in nanograms?
75
What is 27/2 of a kilogram in grams?
13500
How many years are there in 33/5 of a decade?
66
How many millilitres are there in 53522.19l?
53522190
How many millilitres are there in 6/5 of a litre?
1200
What is 382.1108km in micrometers?
382110800000
What is 7/6 of a hour in minutes?
70
What is 19321.581 months in centuries?
16.1013175
What is eleven quarters of a microgram in nanograms?
2750
What is twenty-one quarters of a millennium in decades?
525
How many minutes are there in eleven fourteenths of a week?
7920
How many seconds are there in two fifteenths of a day?
11520
What is 82926.12 millilitres in litres?
82.92612
What is 683044.2kg in milligrams?
683044200000
Convert 41.3905 years to millennia.
0.0413905
How many months are there in 25/2 of a decade?
1500
What is seventeen quarters of a microgram in nanograms?
4250
What is 6/25 of a day in seconds?
20736
What is 31746.48l in millilitres?
31746480
What is three fifths of a litre in millilitres?
600
What is 19/4 of a gram in milligrams?
4750
Convert 3134.854ug to milligrams.
3.134854
What is 32/5 of a gram in milligrams?
6400
Convert 19692.88 milligrams to tonnes.
0.00001969288
Convert 10565.1 milliseconds to nanoseconds.
10565100000
What is 265726.8 litres in millilitres?
265726800
What is three fifths of a tonne in kilograms?
600
What is 12500382.3 hours in weeks?
74407.0375
What is five quarters of a micrometer in nanometers?
1250
What is thirty-seven halves of a litre in millilitres?
18500
How many hours are there in 11/4 of a week?
462
What is 59/5 of a micrometer in nanometers?
11800
What is 9072.949 litres in millilitres?
9072949
What is fourty-one halves of a litre in millilitres?
20500
What is twenty-seven fifths of a millisecond in microseconds?
5400
What is 3/8 of a micrometer in nanometers?
375
How many millimeters are there in 988882.5m?
988882500
How many months are there in 1/10 of a century?
120
How many litres are there in 24.48376 millilitres?
0.02448376
How many litres are there in 96061.23ml?
96.06123
How many millilitres are there in 91547.56 litres?
91547560
What is 21/5 of a tonne in kilograms?
4200
How many millilitres are there in fifty-four fifths of a litre?
10800
What is 776806.5ml in litres?
776.8065
How many microseconds are there in 1/4 of a millisecond?
250
How many millennia are there in 2.299248 months?
0.000191604
What is 75.19465l in millilitres?
75194.65
How many years are there in 1.3133574 months?
0.10944645
What is 31.01898l in millilitres?
31018.98
Convert 4339.937 meters to nanometers.
4339937000000
Convert 13.0234um to kilometers.
0.0000000130234
How many kilograms are there in 849263.5mg?
0.8492635
How many minutes are there in 3/16 of a week?
1890
Convert 546.8942 hours to seconds.
1968819.12
How many centuries are there in 224.35809 months?
0.186965075
Convert 6583.203ns to microseconds.
6.583203
Convert 83.14253 kilometers to meters.
83142.53
How many millilitres are there in one twentieth of a litre?
50
Convert 56.29284 litres to millilitres.
56292.84
How many years are there in 438.618 months?
36.5515
How many months are there in 56773.5 years?
681282
What is 3/40 of a litre in millilitres?
75
What is three eighths of a litre in millilitres?
375
What is seventy-seven halves of a milligram in micrograms?
38500
What is 759787.3 millimeters in kilometers?
0.7597873
Convert 39826.48 meters to centimeters.
3982648
How many decades are there in 108449.67 months?
903.74725
How many millilitres are there in 504.0701l?
504070.1
How many kilograms are there in thirty-one halves of a tonne?
15500
How many meters are there in 17/2 of a kilometer?
8500
What is 0.9067696nm in centimeters?
0.00000009067696
What is three eighths of a meter in millimeters?
375
How many nanometers are there in 3/50 of a micrometer?
60
What is thirteen quarters of a gram in milligrams?
3250
How many millilitres are there in five quarters of a litre?
1250
How many nanograms are there in one fifth of a microgram?
200
Convert 65.74202 seconds to nanoseconds.
65742020000
What is twenty-seven fifths of a kilogram in grams?
5400
How many millilitres are there in twenty-one fifths of a litre?
4200
How many meters are there in 8.136357 centimeters?
0.08136357
Convert 429569.1 tonnes to nanograms.
429569100000000000000
How many millilitres are there in 43/2 of a litre?
21500
What is 1/30 of a day in seconds?
2880
How many hours are there in 1174.1886 minutes?
19.56981
What is 6/25 of a milligram in micrograms?
240
What is 5032.701 millilitres in litres?
5.032701
How many milliseconds are there in 11/4 of a second?
2750
What is 0.2855456 centuries in millennia?
0.02855456
How many litres are there in 2656.393 millilitres?
2.656393
How many months are there in 3/5 of a decade?
72
What is fourty-five quarters of a century in years?
1125
What is 31.65132ms in seconds?
0.03165132
What is 1.745433 millilitres in litres?
0.001745433
Convert 26.631696 months to millennia.
0.002219308
What is 3450.7593 microseconds in hours?
0.00000095854425
Convert 1325.924775s to weeks.
0.0021923359375
What is 1/45 of a week in minutes?
224
How many grams are there in 7/4 of a kilogram?
1750
What is 99.90071 decades in years?
999.0071
How many hours are there in 4/3 of a week?
224
What is 875816.6 nanograms in tonnes?
0.0000000008758166
How many months are there in 1/6 of a decade?
20
What is 11/8 of a litre in millilitres?
1375
What is 63.85882 millilitres in litres?
0.06385882
What is 3/10 of a century in years?
30
What is 556757.1 kilometers in millimeters?
556757100000
What is 4/3 of a hour in minutes?
80
How many micrometers are there in seven halves of a centimeter?
35000
Convert 708.5276 years to millennia.
0.7085276
Convert 773288.4 millennia to centuries.
7732884
What is 51/2 of a minute in seconds?
1530
What is 7.418292 centuries in millennia?
0.7418292
What is 0.5637448t in kilograms?
563.7448
How many weeks are there in 1880697.042 microseconds?
0.000003109618125
What is 5/4 of a tonne in kilograms?
1250
What is five eighths of a litre in millilitres?
625
What is 278.9461 millennia in years?
278946.1
What is 1/36 of a hour in milliseconds?
100000
What is 3/5 of a centimeter in millimeters?
6
How many years are there in thirty-one fifths of a century?
620
How many seconds are there in 523.0352 nanoseconds?
0.0000005230352
How many minutes are there in three fifths of a week?
6048
What is 6/25 of a centimeter in micrometers?
2400
What is 25/2 of a millennium in decades?
1250
What is 55/4 of a year in months?
165
How many millilitres are there in 1/4 of a litre?
250
How many millennia are there in 4713.282 decades?
47.13282
How many micrometers are there in 6639.897 nanometers?
6.639897
Convert 717416.7 decades to millennia.
7174.167
What is six fifths of a litre in millilitres?
1200
How many nanograms are there in 53/4 of a microgram?
13250
How many centuries are there in 29/5 of a millennium?
58
What is 64/3 of a year in months?
256
Convert 240.5255 decades to years.
2405.255
How many centimeters are there in 3.89427 meters?
389.427
Convert 187.7364 tonnes to | {
"pile_set_name": "DM Mathematics"
} |
at is the hundred thousands digit of 412884?
4
What is the units digit of 1456084?
4
What is the ten thousands digit of 1846492?
4
What is the units digit of 3359030?
0
What is the tens digit of 363907?
0
What is the units digit of 6267259?
9
What is the millions digit of 1224646?
1
What is the thousands digit of 1884115?
4
What is the hundreds digit of 6055902?
9
What is the hundred thousands digit of 6275994?
2
What is the ten thousands digit of 2753588?
5
What is the hundreds digit of 1823363?
3
What is the hundred thousands digit of 939577?
9
What is the hundreds digit of 344878?
8
What is the hundreds digit of 4022512?
5
What is the thousands digit of 9776151?
6
What is the ten thousands digit of 181399?
8
What is the hundreds digit of 3396838?
8
What is the hundred thousands digit of 21280374?
2
What is the ten thousands digit of 132501?
3
What is the hundred thousands digit of 152121?
1
What is the hundred thousands digit of 485730?
4
What is the hundred thousands digit of 10452943?
4
What is the units digit of 25072527?
7
What is the tens digit of 1369826?
2
What is the units digit of 8112073?
3
What is the hundreds digit of 1054266?
2
What is the hundred thousands digit of 3162182?
1
What is the ten thousands digit of 1229679?
2
What is the units digit of 46109?
9
What is the hundreds digit of 651181?
1
What is the ten thousands digit of 7295772?
9
What is the hundreds digit of 574508?
5
What is the tens digit of 697679?
7
What is the hundreds digit of 858586?
5
What is the thousands digit of 52057?
2
What is the ten thousands digit of 2264345?
6
What is the hundred thousands digit of 332930?
3
What is the hundred thousands digit of 3515271?
5
What is the hundreds digit of 6564146?
1
What is the tens digit of 33166618?
1
What is the millions digit of 1277239?
1
What is the hundreds digit of 4700028?
0
What is the ten thousands digit of 195996?
9
What is the ten millions digit of 23059543?
2
What is the hundred thousands digit of 1799776?
7
What is the hundred thousands digit of 17548466?
5
What is the millions digit of 4031320?
4
What is the thousands digit of 16702737?
2
What is the hundreds digit of 884499?
4
What is the tens digit of 820251?
5
What is the ten thousands digit of 301758?
0
What is the tens digit of 39971?
7
What is the units digit of 13058601?
1
What is the ten millions digit of 30840914?
3
What is the units digit of 50862?
2
What is the hundred thousands digit of 1110306?
1
What is the hundred thousands digit of 6723090?
7
What is the hundreds digit of 13942929?
9
What is the hundred thousands digit of 375403?
3
What is the ten thousands digit of 1382081?
8
What is the units digit of 306484?
4
What is the hundreds digit of 16294144?
1
What is the units digit of 1317662?
2
What is the units digit of 2116358?
8
What is the ten thousands digit of 887698?
8
What is the units digit of 7548624?
4
What is the tens digit of 243361?
6
What is the ten thousands digit of 837816?
3
What is the hundreds digit of 351686?
6
What is the thousands digit of 673625?
3
What is the thousands digit of 129635?
9
What is the tens digit of 4775039?
3
What is the ten thousands digit of 417577?
1
What is the ten millions digit of 33334712?
3
What is the ten thousands digit of 34852892?
5
What is the hundreds digit of 276323?
3
What is the units digit of 4633322?
2
What is the hundreds digit of 3013236?
2
What is the tens digit of 59535?
3
What is the hundreds digit of 10469211?
2
What is the tens digit of 207335?
3
What is the hundred thousands digit of 229264?
2
What is the thousands digit of 621317?
1
What is the hundreds digit of 866194?
1
What is the thousands digit of 802129?
2
What is the thousands digit of 28147842?
7
What is the millions digit of 19416773?
9
What is the millions digit of 16257399?
6
What is the hundreds digit of 10730646?
6
What is the tens digit of 156340?
4
What is the units digit of 293526?
6
What is the tens digit of 20391418?
1
What is the tens digit of 170304?
0
What is the millions digit of 5654967?
5
What is the tens digit of 1800030?
3
What is the tens digit of 1644755?
5
What is the ten thousands digit of 274015?
7
What is the tens digit of 56491?
9
What is the hundred thousands digit of 1459331?
4
What is the ten thousands digit of 134311?
3
What is the hundreds digit of 1053024?
0
What is the tens digit of 280079?
7
What is the thousands digit of 131879?
1
What is the tens digit of 12437009?
0
What is the units digit of 79703?
3
What is the tens digit of 860810?
1
What is the units digit of 369527?
7
What is the millions digit of 1247832?
1
What is the hundreds digit of 568409?
4
What is the tens digit of 224765?
6
What is the millions digit of 1245466?
1
What is the units digit of 3530517?
7
What is the tens digit of 6278034?
3
What is the hundreds digit of 20873222?
2
What is the ten thousands digit of 299335?
9
What is the hundred thousands digit of 297911?
2
What is the units digit of 229496?
6
What is the hundreds digit of 12430935?
9
What is the hundreds digit of 3794181?
1
What is the millions digit of 1373640?
1
What is the hundred thousands digit of 532668?
5
What is the hundred thousands digit of 850358?
8
What is the tens digit of 605049?
4
What is the hundreds digit of 159716?
7
What is the units digit of 280137?
7
What is the units digit of 497832?
2
What is the hundreds digit of 4521250?
2
What is the tens digit of 1499146?
4
What is the ten thousands digit of 117125?
1
What is the hundred thousands digit of 107789?
1
What is the hundreds digit of 1015371?
3
What is the tens digit of 496695?
9
What is the hundreds digit of 785451?
4
What is the thousands digit of 80738?
0
What is the hundreds digit of 3242931?
9
What is the hundred thousands digit of 10387420?
3
What is the ten thousands digit of 19299560?
9
What is the thousands digit of 1870645?
0
What is the ten thousands digit of 9490965?
9
What is the units digit of 28213949?
9
What is the thousands digit of 77955?
7
What is the hundreds digit of 143370?
3
What is the thousands digit of 70229?
0
What is the units digit of 1977467?
7
What is the units digit of 3978232?
2
What is the ten thousands digit of 1570045?
7
What is the tens digit of 1368555?
5
What is the hundreds digit of 406710?
7
What is the thousands digit of 2490277?
0
What is the thousands digit of 1146789?
6
What is the thousands digit of 3504387?
4
What is the tens digit of 2936405?
0
What is the hundred thousands digit of 2015959?
0
What is the hundred thousands digit of 3879320?
8
What is the units digit of 238401?
1
What is the tens digit of 1929562?
6
What is the hundreds digit of 292719?
7
What is the ten thousands digit of 159328?
5
What is the ten millions digit of 13752229?
1
What is the ten thousands digit of 5913694?
1
What is the millions digit of 6370372?
6
What is the hundred thousands digit of 416153?
4
What is the units digit of 4511978?
8
What is the units digit of 10823434?
4
What is the tens digit of 1858535?
3
What is the units digit of 383355?
5
What is the ten thousands digit of 3998488?
9
What is the ten thousands digit of 18390951?
9
What is the hundreds digit of 115882?
8
What is the millions digit of 5849709?
5
What is the hundred thousands digit of 3678394?
6
What is the tens digit of 8071623?
2
What is the units digit of 16825848?
8
What is the tens digit of 1173426?
2
What is the ten thousands digit of 102422?
0
What is the tens digit of 1032744?
4
What is the hundred thousands digit of 545013?
5
What is the tens digit of 382752?
5
What is the hundreds digit of 11580?
5
What is the tens digit of 70029?
2
What is the units digit of 5707213?
3
What is the ten thousands digit of 6110927?
1
What is the tens digit of 5237807?
0
What is the thousands digit of 5811304?
1
What is the thousands digit of 30118636?
8
What is the tens digit of 8985072?
7
What is the hundred thousands digit of 10755552?
7
What is the tens digit of 7169694?
9
What is the ten thousands digit of 13172282?
7
What is the ten thousands digit of 627047?
2
What is the tens digit of 1142069?
6
What is the hundreds digit of 6580?
5
What is the thousands digit of 14708475?
8
What is the millions digit of 23716157?
3
What is the millions digit of 1067535?
1
What is the tens digit | {
"pile_set_name": "DM Mathematics"
} |
= -0*r - f. Is r a multiple of 20?
True
Suppose -4*y + 50 = 3*h, -4*h - 66 = -4*y + h. Does 14 divide y?
True
Suppose -20 = 4*l - 140. Is 15 a factor of l?
True
Let p(m) = 3*m**2 + 2*m + 1. Let z be p(4). Suppose 4*l + 1 - z = 0. Suppose -t - t + l = 0. Is 3 a factor of t?
False
Suppose -6 - 9 = -3*a. Suppose 2*v + 2*i = v + 87, -5*i = -a*v + 375. Let m = v + -56. Is 11 a factor of m?
False
Does 8 divide ((8/5)/1)/((-3)/(-90))?
True
Suppose 0 = -5*k - 4*s + 16, 5*k + 5*s - 11 = k. Suppose -b = -k*b + 108. Does 12 divide b?
True
Suppose -5*g + 4*p = p - 27, 2*g - 15 = -3*p. Let y = g - 0. Is 3 a factor of y?
True
Suppose 0 = -z, 4*z - 3 = p + 2*p. Let b(j) = -35*j. Let i(o) = 12*o. Let m(x) = 6*b(x) + 17*i(x). Does 3 divide m(p)?
True
Suppose 3*i = -0*i + 114. Does 19 divide i?
True
Let c(z) be the first derivative of z**5/60 + z**4/24 - 3*z**3/2 + z**2/2 + 1. Let p(n) be the second derivative of c(n). Does 18 divide p(-7)?
False
Let l(q) = 4*q**2 - 20*q - 4. Is l(9) a multiple of 19?
False
Suppose 2 = i - 2. Suppose 3*k = 3*h - 0*k - 21, i*k + 8 = 0. Suppose -5*r + 1 = b + 15, -4*b = h*r - 19. Does 11 divide b?
True
Is 15 a factor of 352/3 + (1 - (-8)/(-6))?
False
Suppose 3 = 2*y - 3. Let v(n) = -n**3 + n**2 + n + 4. Let c(k) = -1. Let h(o) = -6*c(o) - v(o). Does 7 divide h(y)?
False
Suppose j = -5*l - 19, -3*j = -2*j + 2*l + 10. Let r = j - -15. Does 2 divide r?
False
Let a(z) be the third derivative of 11*z**7/5040 + z**6/720 - z**5/30 - z**2. Let d(s) be the third derivative of a(s). Is 15 a factor of d(3)?
False
Let c(q) = -q**2 - 17*q + 15. Is 31 a factor of c(-16)?
True
Suppose 5*i + 0*c + 3*c = 291, -4*i - 4*c = -228. Does 7 divide i?
False
Let l = 874 - 614. Does 26 divide l?
True
Let i(k) = -k**3 + 2*k. Let g be i(-2). Suppose -g*s + 14 = 4*t - 3*s, -t + 2*s = 1. Is 12 a factor of 40 - t - (-2 - -3)?
True
Suppose 0*t = -2*t + 8. Let c(v) = v**3 - 4*v**2 + 2*v - 6. Let j be c(t). Suppose 40 = 4*r + 4*f, -4*f + 10 = j*r - 0*r. Is 15 a factor of r?
True
Suppose -4*c + 5 - 31 = -2*s, 3*s - 5*c = 34. Let i(l) = 14*l. Is 14 a factor of i(s)?
True
Let j = 138 + -98. Let z = -29 + j. Is 11 a factor of z?
True
Suppose 31*p = 39*p - 592. Is p a multiple of 37?
True
Suppose 0 = -3*c + 9, w + 2*c + 31 = 82. Let j = 0 - -2. Suppose 0 = 7*q - j*q - w. Does 9 divide q?
True
Let j(k) = 51*k. Is j(1) a multiple of 4?
False
Does 37 divide 1/(4 - 1478/370)?
True
Let h = 55 - 13. Is h a multiple of 7?
True
Suppose -12 = -4*p + 4*o, -11 = -p + 2*o - 3*o. Suppose -z = p - 1. Is ((-52)/z)/((-8)/(-12)) a multiple of 10?
False
Let z = 3 - 11. Let c(g) = -g - 3. Let r be c(z). Suppose 4*q - 107 = -p + 5, -5*p = r*q - 155. Does 10 divide q?
False
Let t(o) = o**3 - 8*o**2 + 6*o - 1. Let s be t(5). Suppose 0 = 5*c - 4*u - 458, 2 + 0 = -u. Let a = c + s. Is a a multiple of 22?
True
Let b(d) = -14*d + 2. Is 14 a factor of b(-1)?
False
Let d(a) = -a**3 - 4*a**2 + 3*a + 2. Let x be d(3). Let g = -26 - x. Let i = -2 + g. Does 12 divide i?
True
Let y = -2 + 5. Let i be 32 + 1*(-3)/y. Let p = 43 - i. Is 6 a factor of p?
True
Let y = -329 - -552. Is 11 a factor of y?
False
Let s = 110 + -47. Does 22 divide s?
False
Suppose -k + 5*k - 4 = 4*m, 0 = -2*k - 3*m + 12. Let g(j) = -4*j - 6*j**2 + 9 - 3*j**k - 4 + 2*j**3. Is g(-6) a multiple of 12?
False
Let m(v) = -6*v + 2. Let z = -10 + 7. Is m(z) a multiple of 11?
False
Let i(a) = 4*a**3 - 5*a**2 + a + 3. Let h be i(3). Let s be (-5)/(-2) - 2/4. Suppose 5*n - h = s*n. Is n a multiple of 16?
False
Let v(p) = -40*p - 5. Let g be v(-6). Suppose -5*x - g = -5*z, 76 = 2*z - x - 19. Is 11 a factor of z?
False
Let s(m) = -m + 18. Let y be s(0). Suppose 0 = h - 64 + y. Is 23 a factor of h?
True
Let u(j) = 17*j + 3. Let c(s) = 34*s + 7. Let x(n) = -2*c(n) + 5*u(n). Is x(1) a multiple of 18?
True
Does 5 divide 2/9 + 176/18?
True
Suppose 13 + 15 = -4*x. Let d = 19 - x. Is d a multiple of 7?
False
Let m = -101 + 197. Is 24 a factor of m?
True
Is ((-14)/28)/((-2)/208) a multiple of 12?
False
Does 18 divide -3 - 346/((-2)/1)?
False
Let c = 340 - 157. Does 21 divide c?
False
Let u = 167 - 71. Is u a multiple of 5?
False
Suppose -2*o = 4*t - 108, -5*o + 126 = 5*t + 1. Suppose 2*g + 5*u = 30, -3*u = 3*g + 2*g - 37. Suppose t = 4*c - 5*w, 0*c + c + g*w - 1 = 0. Does 3 divide c?
True
Suppose 0 = -5*h - 2*o + 1078, 0 = 4*h - 0*h + 2*o - 862. Does 18 divide h?
True
Let p = 1 - -2. Is p*(-1)/(-3) + 53 a multiple of 15?
False
Let x(f) = 12*f + 2. Is x(2) a multiple of 13?
True
Suppose -845 = -14*x + 261. Is x a multiple of 7?
False
Let u be 4/(-6) + (-4)/(-6). Suppose -2*h + 0*h = -8. Suppose -2*o + 20 - 6 = -4*w, u = h*o - 4*w - 24. Is o a multiple of 2?
False
Let n(h) = h + 8. Let v be n(-6). Does 18 divide (v/6)/((-3)/(-198))?
False
Let t = 120 + -171. Let n = t - -89. Is 19 a factor of n?
True
Let x be 22/4 - (-2)/4. Suppose -3*h = -h - 18. Let f = h - x. Is 3 a factor of f?
True
Let q(p) = -p**3 + 16*p**2 + 23*p - 22. Let k be q(17). Let w = -33 + k. Is w a multiple of 27?
False
Let r(b) = b**2 - 7*b - 9. Is r(-4) a multiple of 16?
False
Let u be (-25)/(-4) - 15/(-20). Let o(g) = -g**3 + 7*g**2 + 7*g - 1. Is o(u) a multiple of 20?
False
Let k(g) be the third derivative of g**8/6720 + g**7/2520 - g**6/720 - g**5/60 + 3*g**2. Let n(s) be the third derivative of k(s). Is 4 a factor of n(1)?
True
Let i be 18/5 - 2/(-5). Suppose -s - 1102 = -i*u - 187, -u + 234 = 5*s. Suppose 3*j - g = 168, -j + u = 3*j - 3*g. Is j a multiple of 19?
False
Let a(w) = 3 + 24*w - w - 2 + 0*w. Is a(1) a multiple of 9?
False
Let v = 6 - 6. Suppose -5*n - 119 + 29 = v. Is 6 a factor of 2*n/(-21)*7?
True
Let a = 12 + -10. Suppose 0 = l + a*l - 216. Is l a multiple of 13?
False
Is (22/1)/((-12)/(-54)) a multiple of 23?
False
Let v = 31 - 10. Is v a multiple of 7?
True
Let r be (-2)/(-8) - 14/(-8). Suppose r*h = h + 4. Suppose h*w = w + 60. Is 7 a factor of w?
False
Let k(y) = 2*y + 5. Let x be k(-4). Let z(t) = -t**2 - 6*t + 2. Let v be z(x). Let p = v - 8. Does 3 divide p?
True
Suppose -2*f = -0 - 4. Let u(q) = -q**3 + 6*q - 3*q**2 - 3*q + q - 2*q**f. Does 6 divide u(-6)?
True
Suppose 70 = 2*f - 5*h, f + 26 = 2*f + 2*h. Let b = f - 16. Is 7 a factor of b?
True
Let n = -7 + 64. Suppose n + 98 = 5*j. Let f = 44 - j. Is f a multiple of 13?
True
Let s be (54/5)/((-5)/(-25)). Does 12 divide 2/(-1 - s/(-50))?
False
Does 13 divide (-4)/(-18) + 1074/27?
False
Let l = 19 + -13. Let q be 2*2*(0 - 1). Is 7 a factor of q/l + 176/12?
True
Let d be 4 - 2*(-1 + 2). Let g = 70 - 42. Suppose -4*w + d*w = -g. Does 14 divide w?
True
Let x = 1 + 3. Suppose 2 = -x*h + 5*r - 3, 4*h - 2*r - 10 = 0. Suppose 3*u = -2*u - 4*q + 80, -h*u = 2*q - 80. Does 8 divide u?
True
Let o be (-1 + 4 - 1) + 0. Suppose 4*c = -4*t + 8, 0*c = t + 2*c - o. Is 2 a factor of (6/3)/(1/t)?
True
Let u = -146 + 254. Does 27 divide u?
True
Let x(o) = 31*o**2 + 2*o - 1. Let q be x(1). Let y = q - 21. Suppose 5*k - y - 27 = -4*g, 3*k - 15 = -5*g. Is k a multiple of 10?
True
Suppose 0 = -6*w + 2*w + 2*b + 1146, 3*b = 2*w - 567. Does 24 divide w?
True
Let g(n) = 3*n**2. Let y(f) = 10*f**2 - 1. Let a(r) = -7*g(r) + 2*y(r). Let p be a(-6). Let b = 58 + p. Is b a multiple of 10?
True
Suppose 2*j - 5*j = 4*x - 48, 3*x - 36 = 2*j. Does 11 divide 44/(-6)*x/(-4)?
True
Let q be (32/(-12) + 2)*-15. Does 3 divide (q/4 + -2)*12?
True
Let p = 201 - -105. Let w = p - 216. Suppose w = 2*z + z. Does 15 divide z?
True
Let l = 9 - -62. Does 16 divide l?
False
Suppose -5*m = 5*b + 45, 3*b = 3*m + 16 + 11. Let i = -7 - m. Does 5 divide 15/(-6)*i/(-1)?
True
Suppose 0*f - 5*f - 32 = r, -2*r - 2*f - 24 = 0. Let t be 8/(-6)*(r - 8). Suppose k - t = -3*k. Is 2 a factor of k?
False
Does 25 divide 60 - (-2)/(2/(-3))?
False
Is -4 + 2 + 123 + 2 a multiple of 18?
False
Suppose -3*h + 5*h - 292 = 0. Suppose 4*w - 389 = -5*i, -2*i - w + h = 3*w. Does 27 divide i?
True
Let z(s) = s**3 + 6*s**2 - 4*s + 1. Let h be z(-6). Suppose -4*j - 4 = r, 3*j + 2*j = -5*r + h. Does 8 divide r?
True
Let i = -260 - 70. Does 22 divide 15/2*i/(-25)?
False
Is -1*(-2 + -108) + -4 a multiple of 53?
True
Let z = 4 - 4. Does 3 divide 30/35*(7 + z)?
True
Let s(j) = j**2 + 5*j + 2. Let v be s(-5). Suppose -m - v + 1 = 0, -k - 3*m = 3. Suppose k*y + 45 = 5*y. Is 3 a factor of | {
"pile_set_name": "DM Mathematics"
} |
t from {i: 1, k: 1, w: 3, l: 5, x: 4}.
5/8008
Two letters picked without replacement from {a: 1, j: 3, p: 3, x: 1, q: 2, w: 2}. What is prob of sequence jw?
1/22
Three letters picked without replacement from {x: 2, j: 1}. What is prob of sequence xjx?
1/3
Three letters picked without replacement from {z: 3, f: 1, u: 3, h: 3, n: 3, t: 2}. Give prob of sequence tzf.
1/455
What is prob of sequence ez when two letters picked without replacement from zpecr?
1/20
Two letters picked without replacement from {b: 1, f: 5, e: 2, k: 2, d: 4}. Give prob of sequence fb.
5/182
Three letters picked without replacement from yllyyxoloxll. Give prob of sequence loo.
1/132
Three letters picked without replacement from {u: 1, q: 4, a: 3}. What is prob of sequence aqu?
1/28
What is prob of sequence ytu when three letters picked without replacement from ututuuuyuu?
7/360
Two letters picked without replacement from clvvvjllvzzzvvvvvvc. What is prob of sequence vj?
5/171
Three letters picked without replacement from {z: 6, r: 2, f: 5}. Give prob of sequence fzf.
10/143
Calculate prob of sequence ymym when four letters picked without replacement from mbmynmvyvnbbhm.
1/1001
Two letters picked without replacement from {z: 2, e: 1, r: 1, k: 2, j: 2}. What is prob of sequence ek?
1/28
What is prob of sequence rs when two letters picked without replacement from {s: 14, o: 1, r: 5}?
7/38
What is prob of sequence toos when four letters picked without replacement from {t: 2, s: 6, k: 2, o: 8}?
7/765
Three letters picked without replacement from {p: 13, j: 5}. Give prob of sequence jjj.
5/408
What is prob of sequence it when two letters picked without replacement from kizttkfikk?
2/45
What is prob of sequence ddd when three letters picked without replacement from ddbbdddddd?
7/15
Three letters picked without replacement from {h: 10, g: 6, y: 2}. What is prob of sequence yyg?
1/408
Two letters picked without replacement from {p: 1, g: 2, u: 1, j: 2, k: 1, r: 1}. What is prob of sequence kr?
1/56
Calculate prob of sequence sm when two letters picked without replacement from fffsfrmfrfffsj.
1/91
Three letters picked without replacement from amaaaammmmaam. What is prob of sequence mam?
35/286
What is prob of sequence unzh when four letters picked without replacement from {z: 1, u: 1, h: 2, n: 1}?
1/60
What is prob of sequence hdd when three letters picked without replacement from {k: 2, h: 1, d: 4, f: 1}?
1/28
What is prob of sequence bb when two letters picked without replacement from qbbbbqdxdx?
2/15
Calculate prob of sequence fff when three letters picked without replacement from ssfmfffs.
1/14
Calculate prob of sequence gzhz when four letters picked without replacement from zhelhezxg.
1/756
What is prob of sequence dd when two letters picked without replacement from {c: 4, d: 9, e: 1}?
36/91
What is prob of sequence dfff when four letters picked without replacement from ffddfffd?
3/28
Two letters picked without replacement from rmvmt. Give prob of sequence tm.
1/10
Calculate prob of sequence rqr when three letters picked without replacement from rreaeoq.
1/105
Calculate prob of sequence uukk when four letters picked without replacement from {u: 2, j: 8, k: 2}.
1/2970
Calculate prob of sequence dddd when four letters picked without replacement from ddddddddd.
1
Calculate prob of sequence dpgc when four letters picked without replacement from ggrpgpcpgrpdpgrgprpp.
2/4845
Calculate prob of sequence ffgh when four letters picked without replacement from {g: 5, h: 1, f: 12}.
11/1224
Two letters picked without replacement from {n: 2, s: 2, x: 1, v: 1, i: 1}. What is prob of sequence xv?
1/42
Two letters picked without replacement from hvvwsss. Give prob of sequence vv.
1/21
What is prob of sequence qqqq when four letters picked without replacement from {q: 4, w: 15}?
1/3876
Calculate prob of sequence mtlt when four letters picked without replacement from {t: 5, m: 5, l: 2, u: 3}.
5/819
Calculate prob of sequence jsj when three letters picked without replacement from qjqjjqssjjjj.
7/110
What is prob of sequence adp when three letters picked without replacement from {a: 1, p: 1, u: 3, t: 2, d: 1, w: 3}?
1/990
Four letters picked without replacement from {m: 2, b: 1, l: 1, u: 1}. Give prob of sequence ubml.
1/60
What is prob of sequence yq when two letters picked without replacement from qqyiqyq?
4/21
Calculate prob of sequence sbn when three letters picked without replacement from {y: 1, n: 4, s: 4, v: 1, k: 1, b: 1}.
2/165
Two letters picked without replacement from {a: 4, z: 3, b: 2}. Give prob of sequence az.
1/6
Three letters picked without replacement from xlxjdjxxxlddxljxxkd. Give prob of sequence xdk.
16/2907
What is prob of sequence ay when two letters picked without replacement from {p: 1, q: 3, k: 3, a: 1, y: 3, d: 3}?
3/182
Calculate prob of sequence sp when two letters picked without replacement from {h: 1, s: 2, p: 1}.
1/6
Three letters picked without replacement from snuswnywp. What is prob of sequence upn?
1/252
Calculate prob of sequence kzxz when four letters picked without replacement from cxcczzomzmckkkz.
1/910
What is prob of sequence bll when three letters picked without replacement from {b: 1, s: 1, r: 4, l: 2}?
1/168
Calculate prob of sequence yyy when three letters picked without replacement from yvyy.
1/4
What is prob of sequence bb when two letters picked without replacement from ttbtbb?
1/5
Four letters picked without replacement from fnbnnfonfobn. What is prob of sequence oobn?
1/594
What is prob of sequence szks when four letters picked without replacement from kxxszxxkkxkxkkcxs?
1/4760
What is prob of sequence qqjq when four letters picked without replacement from qjjqqjjjjjjjjjjj?
1/560
What is prob of sequence ofof when four letters picked without replacement from ffggfgofggo?
1/330
Two letters picked without replacement from {q: 5, i: 1, e: 1, h: 2, t: 2, m: 4}. Give prob of sequence qh.
1/21
What is prob of sequence bib when three letters picked without replacement from {b: 5, i: 9}?
15/182
Two letters picked without replacement from {v: 1, x: 9, d: 1, y: 3, a: 2, n: 3}. Give prob of sequence vn.
1/114
Two letters picked without replacement from hhhhhhhhhhhihhhhih. Give prob of sequence hh.
40/51
Three letters picked without replacement from {m: 1, f: 1, l: 2, n: 2, g: 4, b: 4}. What is prob of sequence mlb?
1/273
What is prob of sequence pg when two letters picked without replacement from {t: 4, p: 1, g: 1, o: 5, d: 1}?
1/132
Three letters picked without replacement from {n: 3, i: 2, p: 1, s: 2, x: 4}. What is prob of sequence ins?
1/110
Four letters picked without replacement from vvvddvvvvvdv. Give prob of sequence dddv.
1/220
Two letters picked without replacement from ftto. Give prob of sequence ft.
1/6
What is prob of sequence hh when two letters picked without replacement from hhhdhhhhdhh?
36/55
What is prob of sequence nhtv when four letters picked without replacement from {n: 1, v: 5, t: 1, d: 1, h: 1}?
5/3024
Four letters picked without replacement from {t: 7, d: 6}. Give prob of sequence ddtd.
7/143
Four letters picked without replacement from {f: 3, m: 1, e: 1, b: 1, l: 1}. Give prob of sequence bfff.
1/140
Two letters picked without replacement from nmbapag. What is prob of sequence na?
1/21
Calculate prob of sequence dcd when three letters picked without replacement from {d: 2, y: 2, c: 1}.
1/30
Calculate prob of sequence rwrp when four letters picked without replacement from {d: 4, w: 4, r: 2, p: 6, y: 4}.
2/4845
Calculate prob of sequence kz when two letters picked without replacement from zonkdkzzz.
1/9
Three letters picked without replacement from {e: 2, v: 8}. Give prob of sequence vev.
7/45
Two letters picked without replacement from {f: 1, v: 6, g: 1, p: 1}. What is prob of sequence vg?
1/12
What is prob of sequence feer when four letters picked without replacement from efre?
1/12
Two letters picked without replacement from lllll. Give prob of sequence ll.
1
Four letters picked without replacement from evrevvervevlvrere. Give prob of sequence leve.
3/952
Two letters picked without replacement from {t: 1, k: 5, v: 3, j: 9}. What is prob of sequence jj?
4/17
Three letters picked without replacement from rrrvrrrrrrrvrvrvrvr. Wha | {
"pile_set_name": "DM Mathematics"
} |
e) 0
b
Which is the closest to 2? (a) 1 (b) -2253 (c) -13.3 (d) -9
a
What is the closest to 4689 in -0.372, 4, 0?
4
Which is the nearest to 1? (a) 0.2 (b) 15 (c) -2/9 (d) 0.09 (e) -42.52
a
Which is the closest to 124/751? (a) -1/4 (b) -3 (c) 4
a
What is the nearest to -0.1 in 16, -32847, -3, 1/7, 8, 0?
0
What is the nearest to -1/4 in 6/73273, -4, 0.5, -2, 0, -0.02?
-0.02
Which is the closest to 2? (a) -64 (b) 1/4 (c) 4 (d) 25 (e) -6/25
b
What is the nearest to 5300 in -4, 0.5, 0.2, 1, -9.994?
1
What is the closest to -1478984 in 3, 0.3, -0.3, -3/2?
-3/2
What is the nearest to -15530 in 1/3, -5, 305?
-5
What is the closest to 1 in 85, 2/29, -0.1558, 4/3?
4/3
What is the nearest to 9 in -13.453, 0.5, 1.6, -0.2?
1.6
Which is the nearest to -1/2? (a) -517/7 (b) 1/8 (c) -4 (d) -0.013
d
Which is the nearest to -0.1? (a) -0.1015 (b) -3.1197 (c) 1/3
a
Which is the nearest to 2? (a) 73521 (b) -2 (c) 2 (d) 2/3 (e) 5
c
What is the nearest to 12 in -17, 26, -2/3, -112, -1, 5?
5
Which is the closest to 0.2? (a) -5 (b) -3 (c) 57 (d) 2 (e) -67.32
d
What is the closest to -1/2 in 0.31, -19, -1, -4, 2, 2/69?
-1
Which is the nearest to 35512? (a) 0.3 (b) 2/17 (c) -1 (d) 0 (e) 2
e
Which is the nearest to 1/6? (a) -0.4 (b) 3 (c) 3/671 (d) -2/601 (e) -4
c
What is the closest to 1 in 0.1, 6, 27570, 3, 1?
1
What is the closest to 0.7 in -0.2, 4, -19, -1.1, 1/6?
1/6
What is the closest to -3.1 in -2/7, -131, 78, 3/5, 2/17?
-2/7
Which is the nearest to -2? (a) -2 (b) -56 (c) -5 (d) -662
a
What is the nearest to 9/11 in 3, -18, -0.4, 9?
-0.4
What is the nearest to 81 in 7.7, 4, -2/9, -0.06?
7.7
What is the closest to -5/2 in 3453, 2/5, -0.0747?
-0.0747
What is the closest to 8 in -0.17, -1, 0.3459, 0.09?
0.3459
What is the closest to 0 in 396, 0.1, 5, -25/4, -0.4?
0.1
Which is the nearest to -2? (a) 5 (b) 9.486 (c) -4
c
Which is the nearest to -0.3? (a) 1/17 (b) -2.1 (c) 0
c
What is the nearest to 0 in 1/5, -0.008, -261, 11, -1?
-0.008
What is the nearest to 17 in -0.24, 1, -2, -1.338?
1
What is the nearest to -21/19 in 4034, -1/7, -16?
-1/7
What is the closest to 0.004 in -2/399, -5, -4/23, -1/5?
-2/399
What is the nearest to 4/5 in 2/15, -10/2061, -2/11, 2, 5?
2/15
Which is the nearest to -8? (a) 10/9 (b) -4/5 (c) -0.03 (d) 48 (e) -0.063 (f) 2
b
What is the closest to 1/2 in -629/5, 0, 0.3, -2/29, 0.5, 0.12?
0.5
Which is the closest to 1? (a) 8 (b) -0.3 (c) 69101
b
What is the closest to -3 in -0.2, -4, -1/7, -48115, 3?
-4
What is the nearest to 4 in -52.8, -3/2, 7, 441, 2/7?
7
Which is the nearest to 0.1? (a) 4 (b) -38172 (c) -2.6 (d) 45
c
What is the nearest to -3 in -337, -4, -1/2, 4.4?
-4
Which is the nearest to -8/11? (a) -2 (b) 16 (c) -0.44 (d) 7 (e) 1/5
c
Which is the nearest to 0? (a) -32 (b) 1/6 (c) 0.1 (d) 5/4 (e) -1/7 (f) 0.9
c
Which is the closest to -0.22? (a) 0.1 (b) 2/129 (c) 4 (d) -0.3 (e) 22.9
d
What is the nearest to -11.96 in -10, -57, -1/24?
-10
Which is the closest to -1/7? (a) 0 (b) -4 (c) 2 (d) 0.1 (e) 9/13
a
Which is the nearest to 325? (a) 4 (b) 0.058 (c) 1/3 (d) 53
d
Which is the closest to -1/5? (a) 0.03 (b) 3 (c) -2/5 (d) -256.7 (e) -9/5
c
What is the closest to 0.1 in -5, -2/33, -1/549, -113?
-1/549
What is the nearest to 0.18 in -1.4, -204, 5, -109?
-1.4
Which is the closest to -10/39? (a) -13 (b) -0.5 (c) 1.8 (d) 3/7 (e) -26
b
What is the closest to -9/4 in -0.4, 1675/3, 0.3, -3, -1, -0.12?
-3
Which is the nearest to -1? (a) -22/3 (b) -0.3 (c) 4/7 (d) 52496/23
b
Which is the closest to 72? (a) 39 (b) 2/141 (c) -6
a
Which is the closest to 0? (a) 6 (b) -2/11 (c) 0.0497
c
What is the closest to 1 in -0.0449, 11/69, 1/4, -5, 6?
1/4
What is the closest to -2.73 in -1/4, -21.6, 0.4, 4, 2?
-1/4
What is the nearest to 1/21 in 0.5, -0.04, 22, 5, -1/4?
-0.04
What is the nearest to 0.3 in 0.5, 3, 4/71, -0.48, 12?
0.5
Which is the nearest to 0.42? (a) 63/26 (b) 3/4 (c) 4
b
What is the nearest to -34 in -3, 38, 0.118?
-3
Which is the nearest to 5? (a) -4 (b) -0.04 (c) -4.21
b
What is the closest to -2 in 352828/13, -0.3, 0.1?
-0.3
Which is the nearest to -0.1? (a) 38.57 (b) 1/113 (c) 2/7 (d) -4
b
What is the closest to -1.49 in -3, 149/3, 0.4, -8/3?
-8/3
What is the closest to 255.4 in 0.2, -222, -18?
0.2
Which is the nearest to -17? (a) 26 (b) 4 (c) -0.07 (d) -100
c
What is the closest to 2/5 in -2, 46, -3/5, 23.2?
-3/5
What is the nearest to -1/3 in -1/3, -3/4, -1249, -1/4, 0.04418?
-1/3
What is the nearest to -0.1 in -2.1, -36, 0.171, -0.4, -1/7?
-1/7
What is the nearest to 438 in 1/4, -176, 1/2, -1/6?
1/2
Which is the nearest to 1/16? (a) -1/3 (b) -1771 (c) 1 (d) 3/5 (e) 2/3
a
What is the nearest to 0.106025 in 0.44, -76, -3?
0.44
What is the nearest to 2/29 in -1, -116, 2/9, 24, 4?
2/9
What is the closest to -58 in -2/5, 0.5, -2/7, -250/51?
-250/51
What is the nearest to 2921 in 4, -5, 0.0284?
4
What is the nearest to 233 in -758, 0.4, 1/9?
0.4
What is the closest to 5/2 in 0.2, 3/8, -16922?
3/8
What is the nearest to 1 in 12, -1/3, 58/17, -0.03, 0.3, -0.25?
0.3
Which is the nearest to 1/4? (a) -1/3 (b) -2 (c) 8340 (d) 3/83 (e) 5
d
What is the nearest to 2 in 0.04, 31, -0.5, -3, -86.4?
0.04
Which is the nearest to -723/2? (a) -0.54 (b) 2 (c) 3 (d) -13
d
Which is the nearest to 0.00636? (a) -1/3 (b) 5 (c) -1/2 (d) -0.13 (e) 1/3 (f) 0.3
d
What is the nearest to 2 in -0.0145, -2/9, 82?
-0.0145
Which is the nearest to -3.14? (a) -425 (b) -0.2 (c) -0.09 (d) 5
b
What is the closest to -0.04 in -0.15, 3, 31/53?
-0.15
What is the nearest to -1/3 in -0.4, -1/4, 2, -2/175, 8.8?
-0.4
Which is the closest to 0? (a) -2 (b) 2/15 (c) -6758 (d) -15
b
Which is the closest to 0.1? (a) 0 (b) -1/9 (c) -4 (d) 43/156 (e) 1/4
a
What is the closest to -0.1 in -0.5, -4/3, -29679, 2/13, -3/2?
2/13
Which is the nearest to -2/5? (a) -5 (b) -3 (c) -286/5 (d) -590 (e) 2/5
e
What is the closest to 0.063006 in -1/19, -1/2, 0, 0.5?
0
What is the nearest to -0.6 in -3, 0.2, 1, -31769, -0.08, -4?
-0.08
What is the nearest to -2/7 in -2/4081, 0.049, -0.17?
-0.17
What is the nearest to -1069 in -1, 0.06, -10/9, 2/9?
-10/9
Which is the closest to 10? (a) 3 (b) 0.1 (c) -2/9 (d) 0 (e) -1.9 (f) 14957
a
What is the closest to 31/27 in 3/2, -3.6, 0.5?
3/2
Which is the closest to -0.02? (a) -1/6 (b) -5 (c) -18 (d) 81/2 (e) -0.07
e
Which is the closest to -4? (a) 4/5 (b) -20598 (c) 0 (d) 3 (e) 2/5
c
Which is the nearest to 3/5? (a) 4 (b) -1 (c) 1129 (d) -0.2 (e) -31
d
Which is the closest to -3? (a) 17 (b) 0.17 (c) -0.4 (d) -5 (e) 1/3
d
Which is the nearest to 2/9? (a) 0.3 (b) 1.031 (c) -22/3 (d) -2 (e) 1/6
e
Which is the closest to 1/19? (a) -1/16 (b) -4 (c) -0.4 (d) -34 (e) 2
a
Which is the nearest to 13/7? (a) -3 (b) -5/1986 (c) 2/7
c
Which is the closest to -0.032? (a) -6 (b) -3/5 (c) -19 (d) 3 (e) -1
b
Which is the nearest to 8441? (a) -20 (b) 4 (c) 0.5 (d) 0
b
What is the closest to 7/3 in -4, -2/339, 150, 0.9?
0.9
What is the nearest to -3/2 in 2, 3, 31089, 15?
2
What is the closest to 1 in 0.1, -4/45, 1/20, 332?
0.1
What is the closest to -2633 in -1/6, 2, -0.1, -0.0532?
-1/6
Which is the nearest to -2? (a) -1 (b) 0 (c) -0.1 (d) 3.27 (e) 2/13 (f) -8
a
What is the nearest to -0.048 in -5, 2/5, 1, -345180?
2/5
Which is the closest to -0.2? (a) -3 (b) -7 (c) -0.3 (d) -14358
c
Which is the closest to 361257? (a) -1/6 (b) 0.5 (c) -5 (d) -4 (e) -2/5
b
What is the nearest to 2 in -15.2, -3/4, -0.7, 1, -4/17?
1
Which is the closest to 1? (a) 2/39 (b) -3/10619258 (c) -1
a
Which is the nearest to 2/7? (a) -2 (b) -165/32 (c) 74 (d) -5 (e) -0.4
e
Which is the closest to 24? (a) -4 (b) 1 (c) 5 (d) 67/5 (e) -23/14
d
Which is the closest to 29/4? (a) -1 (b) 31 (c) -17 (d) -0.07
d
What is the nearest to 0.0818 in -0.044, 0.1, 348?
0.1
What is the nearest to -2/59 in -2/113, -5/7, -1/2, 4?
-2/113
What is the nearest to -1/2 in 0.1, 32, -46, -19, -5, -2?
0.1
What is the nearest to 2/5 in 1/3, 8, 156, -256, -3, 0?
1/3
What is the closest to 24 in -0.1172, -34, -5?
-0.1172
What is the closest to 1/3 in -2, -0.2, -3, 4302, 3?
-0.2
Which is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
s 1153195349 composite?
True
Is 43414095503 a prime number?
True
Is 41524109459 prime?
False
Is 2194673077 a composite number?
True
Is 3083856283 composite?
False
Is 1720385717 prime?
False
Is 30961858783 prime?
True
Is 16645766197 composite?
True
Is 7397375473 composite?
False
Is 773693149 a prime number?
True
Is 3347707457 composite?
False
Is 8970399047 composite?
True
Is 7935693319 a prime number?
True
Is 250096589 a prime number?
True
Is 156151183 a prime number?
False
Is 834509293 composite?
True
Is 33875310193 prime?
False
Is 1284557633 composite?
True
Is 3469900817 prime?
True
Is 89212861 a composite number?
False
Is 1571048337 composite?
True
Is 88299523 a composite number?
True
Is 1544103107 a composite number?
False
Is 5091553235 composite?
True
Is 126079725311 composite?
True
Is 2120171227 composite?
False
Is 670136603 a prime number?
True
Is 4782671527 prime?
False
Is 52973393843 prime?
True
Is 4223208991 a composite number?
True
Is 65269549693 prime?
False
Is 198677863 a composite number?
False
Is 55650305 composite?
True
Is 1789360042 composite?
True
Is 11227458943 prime?
True
Is 13020915239 prime?
False
Is 39581771 prime?
False
Is 8106618719 a prime number?
True
Is 2972121589 prime?
True
Is 3101453611 composite?
False
Is 21453733703 a prime number?
True
Is 294813469 prime?
False
Is 2528405273 a composite number?
False
Is 2548764181 a prime number?
True
Is 13399368977 a composite number?
False
Is 26559296417 prime?
True
Is 546473561 prime?
True
Is 120943449451 a composite number?
True
Is 1439211889 a composite number?
True
Is 876060635 composite?
True
Is 21741087493 a composite number?
True
Is 2228096479 a prime number?
False
Is 5970813019 a composite number?
False
Is 3174418771 prime?
False
Is 1579339631 a composite number?
True
Is 24918145961 a composite number?
False
Is 645989327 a prime number?
False
Is 2219843243 composite?
True
Is 36677774051 a prime number?
True
Is 503117401 a composite number?
True
Is 164666417 prime?
False
Is 115825234731 a composite number?
True
Is 1128499105 composite?
True
Is 1681691507 a prime number?
True
Is 833429803 prime?
False
Is 1025657597 a composite number?
True
Is 6394956697 a composite number?
False
Is 12385908949 prime?
False
Is 9704119427 composite?
True
Is 219969667 a prime number?
True
Is 5630648809 composite?
False
Is 605052289 prime?
False
Is 1009408129 a composite number?
True
Is 15999936871 a prime number?
False
Is 2251540861 a composite number?
False
Is 51399177169 prime?
False
Is 51334797667 prime?
False
Is 12203917633 prime?
True
Is 367463519 a prime number?
True
Is 910967221 composite?
False
Is 6905972357 composite?
True
Is 8473976233 composite?
True
Is 2083646221 a prime number?
False
Is 168723407 a prime number?
False
Is 21323695051 a prime number?
False
Is 8490445 prime?
False
Is 2088677737 a composite number?
False
Is 61317328759 prime?
True
Is 1488003593 a prime number?
True
Is 829654346 prime?
False
Is 217491359 composite?
False
Is 662959477 a prime number?
True
Is 91726398979 a composite number?
False
Is 8931313331 prime?
False
Is 23668939201 composite?
False
Is 87620055571 a prime number?
False
Is 674899889 composite?
True
Is 1290881719 prime?
True
Is 248679589 a composite number?
True
Is 114149914282 prime?
False
Is 6279173753 a prime number?
True
Is 1403949661 composite?
False
Is 23735256257 a composite number?
False
Is 5853016013 a prime number?
False
Is 1684238221 composite?
True
Is 147932545 a prime number?
False
Is 4912001263 a composite number?
True
Is 11105002445 composite?
True
Is 62909009 a composite number?
True
Is 1541278561 composite?
False
Is 42795462001 a prime number?
True
Is 133313846291 composite?
False
Is 100182319 composite?
True
Is 278687407 prime?
False
Is 2368288669 a prime number?
False
Is 141335723 prime?
True
Is 149209449071 a prime number?
False
Is 24289946309 a prime number?
False
Is 3152764781 a prime number?
False
Is 39047849 prime?
False
Is 28221688679 a prime number?
True
Is 119310719107 a prime number?
True
Is 6340711337 composite?
False
Is 1259155873 a prime number?
True
Is 8811417253 prime?
True
Is 830418695 a prime number?
False
Is 9758150111 prime?
False
Is 71573487863 prime?
False
Is 1222826593 prime?
True
Is 890555881 composite?
False
Is 104476303003 prime?
True
Is 5425105267 prime?
True
Is 118746170819 composite?
False
Is 1108919243 prime?
True
Is 10076849479 composite?
False
Is 32167151363 a composite number?
True
Is 4188719009 a prime number?
False
Is 4320518641 prime?
False
Is 546358889 a prime number?
False
Is 8136979055 composite?
True
Is 671619727 a composite number?
False
Is 7524418709 prime?
True
Is 408454157 a composite number?
True
Is 2560456187 a prime number?
False
Is 1156970711 composite?
True
Is 2838340649 composite?
False
Is 1591485091 a prime number?
False
Is 409886227 prime?
True
Is 257299606643 composite?
True
Is 162132401 a prime number?
True
Is 4289277917 composite?
False
Is 3061781509 composite?
False
Is 12400854353 prime?
True
Is 200991883 composite?
False
Is 69309822083 a composite number?
True
Is 22525512103 prime?
True
Is 32280851 a prime number?
False
Is 96301515397 a composite number?
True
Is 460354457 composite?
False
Is 4418711461 a composite number?
True
Is 357578783 a composite number?
False
Is 44998301 a composite number?
False
Is 777744547 prime?
False
Is 3362262213 prime?
False
Is 11994034561 a composite number?
False
Is 6975281465 a prime number?
False
Is 554176327 a prime number?
True
Is 83297134 a prime number?
False
Is 4118932969 composite?
False
Is 19765745899 a prime number?
True
Is 1581703967 prime?
False
Is 86836843 prime?
False
Is 8859179639 prime?
False
Is 3077436209 prime?
True
Is 622932143 composite?
True
Is 30571885763 prime?
True
Is 65991055159 a composite number?
False
Is 55067153 a prime number?
True
Is 266826457 a composite number?
False
Is 296641351 a composite number?
False
Is 57058313999 a composite number?
False
Is 5156698809 prime?
False
Is 6294438589 a prime number?
False
Is 21955295417 a prime number?
False
Is 38851749635 a composite number?
True
Is 9161944489 composite?
False
Is 1648154741 composite?
False
Is 49633817 a prime number?
True
Is 8112061257 a composite number?
True
Is 11837910473 composite?
True
Is 2086791699 a prime number?
False
Is 924431699 a prime number?
True
Is 18225113707 a composite number?
True
Is 2541498041 composite?
False
Is 749045743 prime?
False
Is 135988543 a prime number?
True
Is 296351813 a composite number?
True
Is 144613333 prime?
False
Is 152057923 a prime number?
True
Is 215347933 a prime number?
True
Is 27254687749 composite?
False
Is 4928431373 prime?
False
Is 105799514581 a composite number?
False
Is 28726519453 prime?
False
Is 22663607 a composite number?
True
Is 473486147 a composite number?
True
Is 2464998733 a prime number?
True
Is 221243511941 composite?
False
Is 2173122527 a composite number?
True
Is 6593358977 prime?
True
Is 40576957847 composite?
True
Is 532973329 a composite number?
True
Is 244106132639 a composite number?
False
Is 21370409897 a composite number?
False
Is 8557855049 a prime number?
False
Is 5665037237 a prime number?
False
Is 295626101081 a prime number?
True
Is 150290192233 a prime number?
True
Is 16232423309 a composite number?
True
Is 2054890187 prime?
False
Is 2210882539 a composite number?
True
Is 923962483 a composite number?
True
Is 170692043 a composite number?
False
Is 405420439 a prime number?
True
Is 4526526421 composite?
False
Is 629007491 a prime number?
False
Is 5634443 a prime number?
True
Is 11984445683 a composite number?
True
Is 263004811 a prime number?
True
Is 949153097 prime?
False
Is 145776163 a prime number?
False
Is 2392030211 a composite number?
False
Is 228572593 prime?
True
Is 30337263107 prime?
True
Is 433535337481 a prime number?
True
Is 1582223635 prime?
False
Is 30094027913 composite?
False
Is 5734207469 composite?
True
Is 641098877 composite?
False
Is 2110762499 a prime number?
True
Is 188609710885 composite?
True
Is 63673053 composite?
True
Is 2939707213 a composite number?
False
Is 51173429071 prime?
True
Is 790906529 composite?
True
Is 9147431 a prime number?
True
Is 303592183 a composite number?
False
Is 195708101 a prime number?
True
Is 4729850105 composite?
True
Is 22853 | {
"pile_set_name": "DM Mathematics"
} |
or v?
v
Let w be (4/(-7))/(12/(-42)). Let u = -1775/2 + 890. Which is smaller: w or u?
w
Let f(w) be the third derivative of 5*w**4/12 - w**3/2 + 4*w**2. Let p be f(1). Which is greater: 31/4 or p?
31/4
Suppose 34 + 406 = 8*n. Let p = -53 + n. Is 3/4 >= p?
False
Suppose 0 = t - 0 - 2. Let r be 40/(-60)*(-21)/t. Is 8 at least r?
True
Suppose -l = -2*b - 2*b - 12, -5*l = 5*b + 15. Let t be (-1)/(((-4)/b)/4). Let x be t/(-6)*-4*1. Is 0.1 at most as big as x?
False
Let t(j) = j**3 - 13*j**2 - 19*j - 10. Let m be t(14). Which is greater: m or -79?
-79
Let c = -1/1146 + 72211/14898. Which is bigger: 6 or c?
6
Let n = -7/13 - -453/793. Let v(d) = -d**2 + 49*d + 49. Let g be v(-1). Is n smaller than g?
False
Suppose 3 + 22 = -5*g. Let z(f) = -3*f**3 + f**2 - 2*f + 1. Suppose 4*k - 2 = 2. Let c be z(k). Is g at least as big as c?
False
Let f = 17/643 - 21712/845545. Is f at least 0?
True
Suppose 4*w - 2*v + 2 = 2*w, 2*v = w + 3. Suppose 5 = 2*s - s. Suppose 3*a + 2 = s. Is w <= a?
True
Let a = -137859/122 - -1130. Let l = a + 119/366. Is 2/17 greater than l?
False
Let a = -31.3 + 31.3. Which is bigger: a or -2/59?
a
Let y = 12 + -7. Let l = 346 - 346. Which is bigger: l or y?
y
Let z(s) = s**3 - 3*s**2 - 3*s - 3. Let r be z(-2). Let n = r - -19. Suppose x = -n*x. Which is greater: -1/18 or x?
x
Let d be (-3)/(-9) + (-62)/6. Suppose 7*c - 5 = 9. Let i be (18/15)/(c/d). Do i and -1 have the same value?
False
Suppose -3*n - 35 = 32*n. Let b(d) = d**2 - 4*d + 1. Let m be b(3). Let u be (-2)/4 + n/m. Which is bigger: -4/7 or u?
u
Let j be (-2)/(-1) + 24/(-14). Let y = -324 + 315. Which is greater: y or j?
j
Let m = 10 + -10. Let j = 1 + m. Let a = j - 1.3. Does a = -0.1?
False
Let r = 0.52 - 0.47. Suppose -2*g = n - 6*n - 1, -13 = 5*n + 4*g. Which is bigger: n or r?
r
Let i = 31.081 - -0.179. Let n = i - 31. Let v = 6.26 - n. Which is greater: v or -1?
v
Let b be (99/(-42))/((-3)/156). Suppose t - 113 = -5*m, -m = 4*t - t - 367. Let f = b - t. Is -1 smaller than f?
True
Let c be (444/36 + -12)/((-2)/10). Which is bigger: 16 or c?
16
Let j(d) = -d - 1. Let m(x) = -3*x**3 - x**2 + 1. Let o be m(1). Let u be j(o). Suppose w + w - u = 0. Which is smaller: 2 or w?
w
Suppose 4*z - 5*t = -60, -58*z = -61*z - 5*t - 80. Is -22 > z?
False
Suppose -1 = 15*j + 14. Which is smaller: 1/3038 or j?
j
Let y = 0 + 1/12. Let m = 0.1034 + 0.8676. Let h = 0.029 + m. Is y < h?
True
Let v = -1012 + 1046. Which is smaller: 4 or v?
4
Suppose 0*j - 2*j + 14 = 5*h, -j + 17 = 5*h. Which is smaller: -15 or h?
-15
Let y = 0.32 + 13.68. Let s = 11 - y. Let q = 6.1 - 6. Is s less than q?
True
Let s be (7/(-4))/((-6)/(-24)). Let o = -8 - s. Is 2/103 <= o?
False
Let g be 8/(-3)*30/(-25). Suppose c - 4*h + 12 = 0, -c = h + 2*h - 2. Let l be (-2)/c - 45/(-30). Which is bigger: g or l?
g
Let b = -246/385 + 3/77. Which is smaller: b or 24?
b
Let q = -176 - -176.017. Which is smaller: q or 1?
q
Let y be 64/36 - (-4)/18. Let i be (y/(-4))/(12/54). Let g be (-1 - 4/(-2))*-3. Is g greater than or equal to i?
False
Let p(m) = 74*m - 1110. Let f be p(15). Let d be 2 - 15/618*82. Which is greater: d or f?
d
Let j(c) = 27*c - 23. Let g be j(-4). Let h = -193 - g. Is h <= -121/2?
True
Suppose 2*q = 13 - 5. Suppose -31 = -5*t + q. Which is bigger: 6 or t?
t
Let c = -13349/10 + 1335. Let l = 3 + -2. Is l greater than c?
True
Let j be (-508)/(-1) - 0/(-23). Suppose -11*n - 1311 = -j. Does n = -73?
True
Suppose 0 = -z - 0*z - j + 25, 3*j + 99 = 3*z. Let s = z - 25. Do s and 1 have the same value?
False
Suppose 0 = 5*h - 3*w + 25, 0 = -w + 4 + 1. Suppose q = -q - 6. Which is greater: h or q?
h
Let p(k) = -k - 16. Let z be p(-11). Let h = 22 - 11. Suppose a - 2*m - h = -7*m, -a = -5*m + 19. Is z smaller than a?
True
Let p = 987 - 948. Are 1.1 and p equal?
False
Let o be 18/(-66) - 339/(-33). Is o greater than -69?
True
Let g be 5*-3*198/1395. Do -1 and g have the same value?
False
Let i be (-4361)/91 + 8/(-104). Are i and -50 nonequal?
True
Let i = -0.6 + -6.4. Let n = 14 + i. Let p = -78 + 76. Is p != n?
True
Let m be ((-5)/(-5) + 40)/(1 + -2). Is -4 < m?
False
Let o(j) = -2*j - 4. Let z be o(-3). Suppose -z*p - 3*p = 0. Suppose g - 1 = -p*g. Is 2 at least g?
True
Let y = 11 - 17. Let z be (-7)/y - 2/12. Is 5/7 greater than z?
False
Suppose 0 = -k - 16 + 5. Let y(b) = -4*b + 36. Let s = -46 + 58. Let x be y(s). Which is smaller: k or x?
x
Let r = -46 + 183/4. Let z = -22.1 + 23. Let s = z + 1.1. Is s >= r?
True
Let q be 1/(12/(-31))*(4 + 0). Let y(n) = 2*n + 14. Let p be y(-12). Is q != p?
True
Suppose 0*n + n - 5 = 0. Let m be (n + -4)*-1*-4. Is m < 5/2?
False
Let q be 87 + (7 - 4) + -5. Is 83 equal to q?
False
Suppose 0 = -4*m - 2*n + 7*n + 111, m - 18 = -2*n. Suppose -8 = -k - k. Let s be k/m*3*-2. Which is greater: 0 or s?
0
Suppose -204 = 5*k - 219. Let w be (1 - 1) + (-54)/(-14). Is w smaller than k?
False
Let x = -1376 + 1385. Is -1/11 greater than x?
False
Suppose 55617 = 39*r + 8739. Are 1201 and r equal?
False
Let n = 28604195 - 1287134777/45. Let q = n + -1200. Are q and -1 nonequal?
True
Let f = 6 - 2. Let u be f/(-26) + (-308)/(-988). Let r = u - 53/95. Is 1 less than or equal to r?
False
Let v be (42/(-56))/(1/(-4)). Let b be v/(-5) - (-12)/(-30). Which is smaller: b or 2/11?
b
Let h = -69256/199 - -348. Is h < 0?
True
Let n(v) = -v**2 + 16*v + 91. Let c be n(20). Which is bigger: 1.7 or c?
c
Suppose -4*a - 3*r = r, a = 5*r. Let f(u) = -u**3 + 3. Let w be f(a). Suppose 0 = -x + w*x + 6. Which is smaller: x or -9/4?
x
Suppose 14*m = 13*m - 5*p, p = -5*m. Let b be (-2)/8 - 130/(-8). Let t be (-3)/b*(6 - 2). Which is smaller: m or t?
t
Let b = 2074 - 2062.7. Which is bigger: -10 or b?
b
Let s(d) = d**3 + d**2 - d + 19. Let x be s(0). Let u(a) = -14*a - 78. Let p be u(-7). Do x and p have different values?
True
Let m(v) = -v**3 + 20*v**2 + 2*v - 41. Let u be m(20). Are u and -24/29 non-equal?
True
Let i(g) = g**3 + 8*g**2 - 4*g + 14. Let r be i(-10). Let o = -139 - r. Is o at least 6?
True
Let w = 0.626 + -0.68. Is 0 < w?
False
Let r be -6 - ((-3160)/(-17) + (-16)/(-136)). Which is smaller: -191 or r?
r
Suppose 1 = 5*y - 19. Let n be 6/y*(-20)/(-3). Let a = n + -3. Are 0 and a non-equal?
True
Let v be 13/(7 - 12/24). Suppose l + 1 = 6. Let y = 8 - l. Is v not equal to y?
True
Suppose -11 = -2*y - 27. Which is smaller: -6 or y?
y
Let d = -0.74 - 31.26. Let v = d + 29. Let m = v - -2.9. Is m greater than -25?
True
Let d be 21 + 1*(0 + -1). Suppose 3*g = 5*i - d, 3*i + g + 17 = -3*g. Let j = 1403/23694 + 1/718. Which is smaller: i or j?
j
Let n(j) = -17*j**3 + 2*j**2 + 2*j + 1. Let k be n(-1). Let t = 36 - 12. Suppose -2*u = -0*u - 4*i - t, 4*u = -3*i + 81. Is u at least k?
True
Let j be (10/(-6))/(427/(-42)). Is 1 greater than or equal to j?
True
Suppose 4*p + 2*k = 12, -26*k = -p - 31*k + 21. Which is smaller: -1/891 or p?
-1/891
Let s(z) = -7*z + 247. Let g be s(35). Let n(r) = r**2 + 1. Let b be n(1). Let h be b/(-4)*40/(-12). Which is greater: h or g?
g
Suppose -2*t = -2*v + 16, 0 = 5*v + t + 4*t. Suppose -3*m = x - 14, -1 - 5 = -v*m + 5*x. Let z be (-3 - 0)*(-3 + 2). Which is smaller: m or z?
z
Let m be 13 - (-1139)/(-85) - 11/(-15). Is -24 at least m?
False
Suppose -12 = -2*g + 3*g. Let x be (8/(-14))/(33/(-693)). Suppose 23*q + x = 22*q. Is q less than g?
False
Suppose 3*u - 2*u = 3*q - 114, 0 = -2*q + 5*u + 63. Let x = 59 - q. Let b = 21 - 0. Is x equal to b?
False
Suppose 4*m + m = 0. Suppose -22*x + 30*x = 0. Do x and m have the same value?
True
Let s(q) = -2*q - 13. Let t(b) = b - 20. Let f be t(14). Let v be s(f). Which is smaller: 2/47 or v?
v
Suppose 48 = -73*v + 25*v. Which is smaller: -2/141 or v?
v
Let z = 49 + -51. Let t be (-4)/(-16)*1*z*-2. Which is greater: 1/13 or t?
t
Let v be 315/(-54) + (-1)/6. Let o = v + 5. Let r be 4/(-60) + 2/(-6). Does o = r?
False
Let o be -44*-3*(-6)/(-9). Suppose -o + 26 = -2*l. Is l >= 30?
True
Let y = 127 - 0. Let v = -891/7 + y. Is 7 greater than v?
True
Let t = 38.6 + -29. Let m = -11 + t. Let k = m - -1.6. Is k bigger than 2?
False
Let p(h) = 12*h + 31. Let r be p(-3). Let m be 655/20 - r/20. Are m and 32 unequal?
True
Let t = -4705 - -3895741/828. Is t greater than or equal to -1?
True
Let i be 12/((-93888)/(-80))*(-1 - -2). Do 0 and i hav | {
"pile_set_name": "DM Mathematics"
} |
3*d. Suppose 14 = 3*q - m, -5*q + 0*m + d*m + 23 = 0. Solve 0 = -a - q, a = 5*w - a - 20 for w.
2
Suppose -5*a - k + 39 = 0, 4*a + 0*k - 34 = 2*k. Solve m - b = 5, 0*b = -2*m + b + a for m.
3
Let f be 0/(-3) - -3 - 1. Solve -f*m + 1 = 4*o + 7, -5*m + 18 = -o for o.
-3
Suppose 105 = 5*s + 35. Let y be (0 - 1)*2*-1. Suppose 0 = y*a + 3*a - 25. Solve l = -5*j + 16, -a*l - 3*j + s = -0*j for l.
1
Let r(q) = -7*q. Let k be r(-5). Solve 2*a = -4*y + 22, 0*y - k = -5*a - 5*y for a.
3
Suppose 5*i = -0*i - g + 100, -28 = -2*i + 2*g. Solve -h + 3*s = -i, -s - 14 = -h + s for h.
4
Let d = 7 + 9. Suppose 2*w + d = 24. Solve 13 = 3*k + 2*o - w*o, -3*k = 2*o - 5 for k.
3
Suppose -4*n + 0*n = 0. Solve -2*j - 10 = -7*m + 3*m, n = -5*m + 5*j for m.
5
Suppose 0 = 2*h + 3 - 9. Suppose 24*z - 22*z - 6 = 0. Solve z*s + 18 = 3*u, -h*s - u + 9 = -5*s for s.
-3
Suppose 5*b - 23 = -4*a - 0*b, 5*b - 11 = 2*a. Let g be 1/a*0*-1. Solve -5*p = -32 + 12, 4*z - p + 16 = g for z.
-3
Let b(a) = 4*a**3 + 2*a**2 - 1. Let i be b(1). Suppose i*d + 20 = -g, -5*g + 4*d - 2*d + 35 = 0. Solve -g*q = 3*u + 20, -7 + 19 = u - 3*q for u.
0
Suppose -y = 3*y + 60. Let j be y/((-3)/2 + 1). Suppose -5*h + 3*w = -54, -4*h + j = -w + 3*w. Solve 0 = -4*r + 4*f + 24, h*r - 4*r + f = 0 for r.
1
Let r be (6/(-2))/(27/(-18)). Solve -c = 5*l + 11, 0 = r*l + 5*c - 0*c - 14 for l.
-3
Let w(r) = 2*r**2 - 2*r + 3. Let t be w(2). Let c(s) = -t + s**2 - 1 - 3*s + 2. Let y be c(5). Solve 5*u - 4*a - 29 = 0, 0 = -u + 4*a + 5 + y for u.
5
Let f be 28/5 + 3/(-5). Solve -h + 0*t - 4*t = 4, -h = -f*t - 5 for h.
0
Let x be 6/(-9) + (-33)/(-9). Solve 0 = -4*h - c - 21, 2*h - x*c = -0 + 7 for h.
-4
Let u = 59 - 54. Solve -4*l = v + 19, -l + 5*v + 15 = -u*l for l.
-5
Let z(b) = 3*b. Let q be z(1). Suppose q - 8 = -v. Solve -h = 2*s + 1, 5*h - v*s + 2 = 3*h for h.
-1
Suppose i = 4*l - 15, 0 = 2*i - 7 - 3. Suppose -2*t + l*t - 30 = 0. Solve 3*f - 23 = -5*m, f - 11 = -5*m + t for f.
1
Let u(z) = -2*z + 12. Let t be u(-7). Solve -3*q + k - 18 = -0*k, 4*q - 2*k + t = 0 for q.
-5
Let k(w) = w**2 - w. Suppose -x = 3*v - 3*x, 2*x = 2*v. Let q be k(v). Solve q = 5*g - 4*n - 2, 0*g - 5*n + 16 = 3*g for g.
2
Suppose -3*i + 12 = 0, -j + 4*j - i = -4. Solve -2*z + 5*h - 31 = j, 9 + 7 = -2*z + 2*h for z.
-3
Suppose 4*n = -x + 32, -2*n - 2*n + 2*x + 32 = 0. Solve -4 = 5*u + 4*l, 0 = -3*u - 4*l - l + n for u.
-4
Let i(w) = w**2 + w - 1. Let z(j) = -3*j**2 - 5*j. Let g(f) = 4*i(f) + z(f). Let u be g(3). Solve -b + 5 = -s, -5 = s - u*b - 3*b for s.
-5
Suppose -2*h = 3*h - 25. Solve -4*c + h*r = -24, c + 3*r = 4*r + 5 for c.
1
Let m be (28/21)/((-4)/(-6)). Solve -m*g - 4 = 0, -2*g - 10 = -2*u + g for u.
2
Suppose 0*t + 2*n + 16 = 2*t, n = -4*t + 32. Solve -3*l + 4*p - 2 = 0, -4*l = 4*p - t*p for l.
2
Let q be (-2 - 0) + 0 - -18. Solve 3*d - q = 4*n + 3, -4*n + 1 = d for n.
-1
Suppose 2*r + r - 48 = 0. Suppose 2*v = -5*y + 27, 4*y - 4*v - r = -0*y. Solve y*x + 4*m + 10 = 0, -2*x = -6*x + 4*m + 28 for x.
2
Let z(w) = -w**3 - 6*w**2 + 9*w + 17. Let j be z(-7). Solve 0 = 2*y + j*i + 21, -3*y + 8*y + 2*i + 25 = 0 for y.
-3
Suppose 2*a - 2*i = -0*i - 14, -a - 5*i + 17 = 0. Let y be -5*a/(30/4). Solve -2*g = -3*n - 1, -y*g - 4 = -n + 3*g for n.
-1
Suppose 0 = 5*d - 3*x - 28, -4*d + 24 = -4*x. Solve 3*o - 3 - 5 = u, 0 = 2*o + d*u + 6 for o.
2
Suppose -5*u + 3*u = -6. Solve -4*v - 5 = 5*b, -4*b = u*v - 9*b - 40 for v.
5
Let n be (-2)/3*(-9)/2. Let u(p) = -p**3 + 23*p**2 - 24*p + 49. Let w be u(22). Solve 5*x + 9 = -3*a, n*a = w*a - 4 for x.
-3
Suppose 3*l - 1 = 5. Let n = -2 + l. Solve -p - 2*k + 11 = -n*p, -k + 13 = 3*p for p.
3
Let b be 20/7 + 1/7. Solve -2*f = -4*y + 6, -b*f + 2*y = 3*y + 9 for f.
-3
Suppose 5 = 4*n - 27. Let f(k) = k**2 - 7*k + 5. Let c be f(n). Solve 3*s - 9 = 4*i, 3*s - c = 5*i + s for i.
-3
Let z be -4 - (-3)/((-9)/(-21)). Solve 5*w = -z*f - 20, -3*f = -8*f + 4*w - 21 for f.
-5
Let o = 8 + -4. Let u(v) = -4*v - 4*v**2 - 28 + 27 + 5*v**2. Let m be u(7). Solve -4*b = -m, -2*b - 20 = -o*q - 6*b for q.
0
Let q(a) = -a + 9. Let v be (0 + 0)*-1 + 7. Let z be q(v). Let t = -3 - -3. Solve -5*f - 32 = 4*d, -z*d = -t*d + 6 for f.
-4
Let x = 9 + -7. Let l(a) = -5*a + 3 + 2*a + a + a**3 - a**2. Let h be l(x). Solve 5*y - 2*m = h*m + 30, -2*y - 4*m = 12 for y.
2
Suppose 0 = -3*k - q + 63, 3*k - 2*q + 66 = 6*k. Solve -5*z = k, 4*u + z + 4 = -0*u for u.
0
Let t be ((-2)/(-3))/(24/(-36)) - -4. Solve 3*w + 2*f - 3 = 0, -2*w + w + 12 = -t*f for w.
3
Let u(p) = -p**3 + 3*p + 3. Let n be u(3). Let y be (-48)/n + (-1)/5. Solve 5*i = -4*d + 40 + 1, 0 = 4*d - y*i - 1 for d.
4
Suppose 5*w + 3*r + 5 = 0, r + 7 = 2*w - w. Suppose w = -o + 16. Solve 2*q = p - q - 7, 0 = 3*p - 2*q - o for p.
4
Let v be 6/(-6)*1/(1/(-8)). Solve 23 = 4*j - 5*m + v, -5*j = 3*m - 28 for j.
5
Let d(a) = -a**3 - 9*a**2 - 8*a + 2. Let j be d(-8). Solve -j*u = -3*g - u - 13, -5*u = 3*g + 7 for g.
-4
Suppose b + 2*a - 3 - 1 = 0, 2*a + 12 = 3*b. Solve -c - j + b = -3*j, -c = -4*j - 6 for c.
2
Let r = -37 - -39. Solve -v + 19 = -5*x, 5*v + 3 = -r for x.
-4
Suppose 0 = -5*q + 13 + 27. Let y(g) = g - 3. Let x be y(5). Let d be (14 - x) + (-1 - -1). Solve -2*z = 2*w - 14, -q = -4*z - 2*w + d for z.
3
Let r be ((-10)/45)/(4/(-6))*0. Solve 5*v - 1 + 8 = -3*p, r = -3*p + 3 for v.
-2
Let r(c) = -c**3 - 9*c**2 - 6*c + 16. Let z be r(-8). Solve -3*l = z, -l + 6 = 3*g - 9 for g.
5
Let b be (45/10)/((-6)/(-20)). Solve l = 4*j - b, -l + j = 4*l - 1 for l.
1
Suppose 0*a - 2 = -a. Solve -3*g - 9 = 3*c, -a*g - c - 7 = -5*g for g.
1
Suppose 5*b + 0*b = -3*v - 20, -5*b = -5*v + 20. Let y = 2 - v. Suppose -5*o = -0*o - 25. Solve 15 = o*s, y*r + s - 3*s = -10 for r.
-2
Let o be (-2)/(-5) - 86/(-10). Suppose n - o = -0*n. Solve u + d = 2, 3*u = -0*d - 4*d + n for u.
-1
Let l(v) = -5*v - 1. Let k(n) = n**2 + n - 1. Let y be k(0). Let t be l(y). Solve -1 = s + 2*j - 2, -4*s = 4*j + t for s.
-3
Let q = -5 - 7. Let w = q - -17. Solve 2*d + 2*g = 7*g, 5*g - w = d for d.
5
Let r be 5/5 - (0 - 2). Let t = r + -1. Suppose -2*m - 2 = -2*j, 4*m - j - 8 = 3. Solve -t*f - f = -5*g + m, -4*f - 17 = 5*g for f.
-3
Let b(p) = 2*p - 9. Let f be b(12). Let l(x) = x - 11. Let j be l(f). Solve 3*y = 4*y - 5*d + 23, 0 = j*y - 5*d + 32 for y.
-3
Let n(u) = -29*u - 1. Let j be n(-1). Solve -d - x + 6 = 2, -5*d + 3*x + j = 0 for d.
5
Let z(x) = -4*x**2. Let g be z(1). Let u = g + 7. Solve -y = -u*q - 12, -9 = q - y - y for q.
-3
Let b(h) = 10*h - 5. Let o be b(1). Solve 5*s = s - z - o, 5*z = -25 for s.
0
Let c(j) = 0 + j - 5 + 3. Let t be c(2). Suppose t*y = 2*y - 6. Solve -z - 2 = 2*f - 14, 4 = y*z - 2*f for z.
4
Suppose -4*s - 29 = -5*s. Solve 4*r = r - 15, s = 2*y - 5*r for y.
2
Let y(f) be the second derivative of -f**3/6 + 5*f**2/2 - 8*f. Let h be y(0). Solve -n = z, -z - 2*z + h*n - 16 = 0 for z.
-2
Let z = 44 - 42. Solve 0*r - z*r + 4 = 4*a, a = 2*r + 11 for a.
3
Suppose 2*l = -0*l - 3*y - 2, -3*l - 4*y - 3 = 0. Let g = 3 + l. Solve -m + 6 = -g*q, 4*q - m - 3 = -19 for q.
-5
Suppose -15 = -5*u, 0*f - 3*u = f - 17. Suppose -2 = -3*x + 2*n + f, -3*x = 3*n. Solve -5*k = t - 10, -3*k = t - x - 4 for k.
2
Suppose -12 = -4*f - 36. Let t be (-3)/(-9) - 10/f. Solve 3*n = 5*y - 7, t*y - 3*y = -2 for n.
1
Suppose -q - 2 + 6 = 0. Solve 0*r + 4 = r - 2*k, -2*k = -3*r + q for r.
0
Suppose -9*i = -5*i. Let s be 1 + 1 - (i - -2). Solve 5*l + 4*r - 13 = 0, 2*l + s = -r + 4 for l.
1
Let b = 17 - 15. Let k be (-5)/(-30) + b/(-12). Solve -3*n - 2*n - 3*r - 10 = k, 3*n + 6 = -2*r for n.
-2
Let l = 9 + -14. Let o(s) = -s**3 - 4*s**2 + 3*s - 7. Let u be o(l). Solve -5*a - u*b - 5 = 19, -4*a - b = 15 for a.
-3
Let b(m) = -3*m - 11. Let u be b(-5). Suppose 2*t - 7 - 3 = 0. Let x = -1 + t. Solve u*j = -3*p, 0 = -p - 0*j + x*j for p.
0
Suppose k - 1 = -0*k. Let a = 0 - k. Let n be (0 - 5)/a*1. Solve -n*r + t + 6 = -t, -5*r + t + 8 = 0 for r.
2
Suppose -8 = -l + 4*s, 0 = 3*l + 2*s - 2 + 6. Suppose l = 4*h - 100 + 24. Solve 4*p + u + h = 0, -5*p + 0 = -4*u + 8 for p.
-4
Let q(m) = 2*m**2 - m - 2. Let o be (-7 - 9/(-3)) + 2. Let n be q(o). Solve -3*f - u = 7, f = 2*u - 6 - n for f.
-4
Let o be 2/5 + (-36)/(-10). Suppose -4*l + o + 0 = 0. Suppose 14 + l = -5*s, 0 = 3*t - 2*s - 12. Solve 2*a + a + 6 = -t*n, 0 = 4*a - 2*n + 8 for a.
- | {
"pile_set_name": "DM Mathematics"
} |
2 - 19*k**2 + 96*k + 10*k**3 to o + v*k**3 + g*k**2 + z*k and give z.
-3
Express -10*k**2 + 29*k**2 - 74*k**2 - 205*k**2 as a + q*k**2 + v*k and give q.
-260
Express 4*u**4 - 12*u**4 + 33964*u**3 - 33968*u**3 + 2*u - 3 in the form w*u**3 + o*u**2 + f*u + v + b*u**4 and give b.
-8
Express 5*p**2 + 0*p**3 - 59 - p**3 + 94 - 48 as h + w*p**2 + v*p + x*p**3 and give w.
5
Express (7*s**3 + 13*s**2 - 13*s**2)*(-2 + 2 + 14 + (4 - 5 + 0)*(-2 + 5 - 4)) in the form x*s**3 + y*s**2 + m + d*s and give x.
105
Rearrange -21 + b**2 - 156*b - 157*b - 26*b**2 + 313*b to the form u*b + n*b**2 + d and give u.
0
Rearrange (0*h + 4*h - 5*h)*(h - 3*h + 3*h) + 135*h**2 + 10518 - 10518 + (2*h - 2 + 2)*(2 - 2 + 3*h) to the form i*h**2 + b + f*h and give i.
140
Express -338*q - 840*q + 97*q as g*q + c and give g.
-1081
Express 3*z**2 + 1 + 33*z**3 + 1 + 3566*z - 3566*z as v + k*z**2 + d*z**3 + i*z and give v.
2
Rearrange j**2 + 1074*j**3 - 1075*j**3 + 1 - 17*j + 0 to the form o + d*j**2 + q*j + g*j**3 and give q.
-17
Express (8*q**2 - 269*q**2 + 33*q**2)*(0*q**2 - q**2 + 2*q**2) in the form s + k*q**2 + o*q**4 + t*q**3 + j*q and give k.
0
Rearrange -144 + 68 - 103*r + 76 to t + q*r and give q.
-103
Rearrange (-2*q - 5*q - 2*q)*(15 + 9 - 45) to g*q + b and give g.
189
Rearrange -281 + 281 + 360*r to the form w*r + i and give i.
0
Express (2*j**3 + j - j)*(22*j - 131*j - 17*j + 2) as n*j**4 + k + l*j**2 + w*j**3 + o*j and give n.
-252
Express 2045*o**2 - 316*o**2 - 542*o**2 in the form y + x*o**2 + c*o and give x.
1187
Express (7 - 7 - 9*c**2)*(-3*c - 4*c**2 + 3*c) + 2*c**4 + 4*c**4 - 7*c**4 + (3*c - 1 + 1)*(-3 - 2*c**3 + 3) as m*c**3 + o + h*c + j*c**4 + y*c**2 and give o.
0
Express -1372 - 1385 + 2768 - 2*s**3 - 5*s in the form d + i*s**3 + l*s + z*s**2 and give d.
11
Express -z + 29*z**2 + 22*z**2 - 2 + 2*z**2 - z**3 - 5*z**2 - z as f*z + u + n*z**2 + h*z**3 and give h.
-1
Express -44*v**2 - 9*v**2 + 123 - 123 in the form h*v**2 + p*v + w and give h.
-53
Express 14*p - 25*p + 7 + 19*p + 4 as z + v*p and give z.
11
Rearrange 22*j**2 + 4*j**4 + 5*j**3 - 19*j**3 - 3*j**4 + 3*j**3 + 6*j**3 to m*j + l*j**2 + d*j**3 + f + h*j**4 and give l.
22
Express 36 + 112*u - 14 - 23 as h + z*u and give h.
-1
Rearrange 27 + 21 + 23 - 71 + 856*t to h + u*t and give u.
856
Express (60 + 66 + 49 + 199)*(-s - 6*s**4 + s) in the form a + o*s**3 + v*s**2 + g*s + n*s**4 and give n.
-2244
Express 103*y**2 - 67*y**2 - 58*y**2 in the form z + h*y**2 + w*y and give h.
-22
Express -5*v**3 - 2*v - 80*v**2 + 2 + 0*v + 13*v**2 in the form q*v**2 + t + m*v**3 + o*v and give q.
-67
Rearrange -5*i - 8*i + 71*i**2 + 24*i - 12*i + 6*i**3 to k*i**2 + s*i**3 + g*i + w and give s.
6
Express 115*v**3 - 13 - 2*v + 3*v**2 - v**4 - 5 - 117*v**3 in the form f*v**4 + c*v**3 + z*v + k + g*v**2 and give z.
-2
Rearrange k**2 - 5*k**2 + 3*k**2 - 2*k**2 - 143*k + 4*k**2 to the form c*k**2 + a + d*k and give c.
1
Express -3*k**4 + 354 - 185 - 2*k**2 - 25*k**3 - 167 in the form h + t*k**2 + i*k**3 + y*k**4 + f*k and give i.
-25
Rearrange -306*j**3 - 2 + 0*j**4 + 2*j**4 - j - 2*j**2 - 3*j**4 + 305*j**3 to g*j**2 + l + t*j**3 + a*j + p*j**4 and give t.
-1
Rearrange (-4 - 8 - 21 + g)*(5*g - 2 + g - 3*g) to o*g**2 + h + n*g and give h.
66
Rearrange (-214*t - 134*t - 123*t - 379*t)*(-3*t + 1 - 1) to the form l + q*t + z*t**2 and give z.
2550
Rearrange ((-2 + 1 + 0)*(-3 - 2 + 3) + 3 - 6 + 2 + 4 - 3 - 30 + 4 - 5 - 4)*(-4 + 2*p + 4) to the form u*p + y and give u.
-66
Rearrange (-369*q + 734*q - 368*q + 3*q + 0*q - q + (-1 + 2 + 1)*(4*q - q - 4*q) - q + 0*q + 2*q)*(3*q + 0*q - q) to the form y*q**2 + l*q + v and give y.
-4
Express 2*i**3 + 0*i**2 + 3 - 21*i - 3*i**3 + 3*i**2 - 2 as z*i + o*i**3 + j + b*i**2 and give o.
-1
Express (92 + 87 + 1718*g - 179)*((-2 - 3 + 4)*(-5 + 5 + 1) - 7 + 3 + 3) as s + q*g and give q.
-3436
Express (-701*a + 701*a - 484*a**2)*(1 + 1 - 1)*(3 + 2 - 3)*(2 + 1 - 1) in the form q + c*a + y*a**2 and give y.
-1936
Rearrange -113*o**2 + 7 - 2*o**4 - 2 + 51*o**2 + 90*o**2 to the form p*o**3 + j + a*o + u*o**2 + l*o**4 and give l.
-2
Rearrange -389 + 194 - 18*q + 196 + q**2 to the form p + f*q**2 + m*q and give p.
1
Express o**4 - 567*o**3 + 0 + 568*o**3 - o + 2 - 2*o**2 in the form c*o**4 + d*o + r*o**3 + j*o**2 + s and give r.
1
Rearrange (2*i**3 - 3 + 3)*(-3*i + i + i) + 62*i**4 - 35*i**2 - 23*i**2 - 64*i**4 to the form b*i**3 + z*i + r*i**4 + l*i**2 + o and give l.
-58
Rearrange 4*l**2 + 10*l - 77*l**3 - 12*l - 3 + 78*l**3 to v*l + a*l**2 + i + d*l**3 and give v.
-2
Rearrange (-81*a**3 - 85*a + 85*a)*(-a - 2*a + 2*a + (3*a + 3*a - 2*a)*(2 + 0 - 4)) to g*a + p*a**4 + j + c*a**2 + y*a**3 and give p.
729
Rearrange -21*t**4 + 30*t - 63*t + 3*t**2 + 31*t to the form i + k*t + s*t**3 + d*t**2 + b*t**4 and give k.
-2
Express (4 - 2 + 0)*(18*a - 104 - 53*a + 36*a)*(2*a - 2*a + a**2) as t*a**3 + u + s*a**2 + b*a and give u.
0
Rearrange -158*q**3 - 2*q**4 + 4*q - 95*q**3 + 157*q**3 + 2 to the form i*q**4 + k + g*q + t*q**3 + j*q**2 and give g.
4
Express g**3 + 4*g**2 + 2*g + g**2 + 13 - 9*g**2 - g**4 + 2*g**2 in the form o*g**2 + k + z*g**3 + i*g**4 + f*g and give o.
-2
Rearrange -6*i**3 + 3*i**2 + 116*i**4 + i - 77*i**4 + 3*i**3 + i**2 - 2*i**2 to v + p*i + w*i**3 + d*i**4 + h*i**2 and give w.
-3
Express 2*o**2 - 9*o**4 + 16*o**4 + 3 - 2*o**4 - 1 - 4 in the form b*o + a*o**3 + s*o**4 + d + x*o**2 and give s.
5
Express (2 + 0 + 1 + (-2 - 1 + 4)*(0 + 3 - 1) + 16 + 8 - 18)*(3*a + 2*a - 3*a)*(1 + 2 - 5) in the form t + c*a and give c.
-44
Express -121 - 12*k + 121 + 3*k**2 - 4*k**2 - 15*k**2 as y*k**2 + v + f*k and give y.
-16
Express 2*a**3 + 59 - 59 - 3*a**2 + 30*a**2 + (2*a**2 - a**2 - 2*a**2)*(4*a + 58 - 58) as l*a**3 + v*a + n*a**2 + h and give h.
0
Express -944*n + 15*n**2 + 1 + 1883*n - 955*n as d*n**2 + z*n + q and give d.
15
Express 3*w - 7*w + 25*w**2 + 3*w in the form o*w**2 + k + r*w and give r.
-1
Rearrange 18 + 26*m**2 - 32*m**2 + 29*m - 17 to d*m**2 + c*m + g and give c.
29
Express (63*o - 3*o + 8*o)*(-2 - 3 - 1) in the form c + j*o and give c.
0
Express 916 - 1826 + 915 - 45*f**2 as l*f + z + x*f**2 and give z.
5
Express (28*r**4 - 359*r**3 + 359*r**3)*(0 + 0 - 2) + (-2*r**3 + 4*r**3 - r**3)*(-r - r - 13*r) in the form w + o*r**2 + m*r + j*r**3 + q*r**4 and give q.
-71
Express (64 + 218 - 2*z - 48)*(-4 + 4 + 1) in the form c + i*z and give i.
-2
Rearrange 3*h - 41754 + 41754 + 20*h**2 to the form o + n*h + r*h**2 and give n.
3
Rearrange -38*n**2 + n**3 + 38*n**2 + 4*n**3 - 3 - 2*n to the form g + o*n**3 + y*n + h*n**2 and give g.
-3
Rearrange 3*q + 5 - 5 + 2*q + 16*q + 5*q + (-3*q + 2*q - 2*q)*(-2 + 0 + 4) to the form m + r*q and give r.
20
Express (-5 + 4 + 2)*(-3 - 1 + 2)*(-3 + 1 + 0)*(5*k - 4*k + 0*k)*(3*k - 5*k - k) in the form g*k + p + h*k**2 and give h.
-12
Rearrange p**4 + 2*p - 2*p**4 - 2*p**2 - p**3 + 0*p**4 + 2 + 0*p**4 to h*p**3 + j*p**4 + u*p + q*p**2 + b and give h.
-1
Rearrange 1 + 28*k**2 - 84*k + 1 + 82*k to s*k + q + r*k**2 and give r.
28
Express (1 - 4 - 1)*(-41*a - 56*a + 147*a) as v + s*a and give s.
-200
Rearrange 1 + 2 + 72*x - 3 to the form g + f*x and give f.
72
Rearrange 0*y**3 + 3*y**3 - 4*y**3 + y**2 + 242*y - 244*y - y**4 + 5 to the form r*y**4 + d*y**2 + g*y**3 + q*y + m and give g.
-1
Rearrange (-36 - 30 + 69 - 233*b)*(-b + b - b) to p + x*b + j*b**2 and give x.
-3
Express (0*l - 3*l - 4*l - 4*l)*(6*l - 12*l - 9*l + 1 + l - 1 + (1 - 3 + 0)*(-2 - 2*l + 2)) in the form f + g*l**2 + i*l and give g.
110
Express -2*o - 13*o + 10*o - 29*o**2 in the form b + z*o + u*o**2 and give b.
0
Express -93*g**2 - 26*g**2 - 268*g + 270*g in the form i*g**2 + n*g + l and give i.
-119
Rearrange (-16*y + 16*y + 24*y)*(4*y**3 - 8 + 8) to the form o*y**3 + z + s*y**4 + q*y + h*y**2 and give z.
0
Rearrange 58 + 60 - 116 - 155*d + 452*d to the form f + z*d and give f.
2
Rearrange -10 + b + 4 - 4*b + 4 to the form v*b + q and give q.
-2
Express 252 - 7*o - 249 + 25*o in the form z + s*o and give z.
3
Express (-2 + 0 - 1)*(1 - 1 - 4*i**2) + 0*i**2 - 4*i**2 + 3*i**2 + (-22*i - 10*i - 21*i)*(-i - 3*i + 3*i) in the form m*i**2 + z + r*i and give m.
64
Rearrange (4 - 9 - 9)*(1731 - 1733 - 33*m - m)*(-2*m**2 + 3*m**2 - 3*m**2) to y*m**3 + v*m + u*m**2 + a and give u.
-56
Express 4*n**2 - 2*n**2 - | {
"pile_set_name": "DM Mathematics"
} |
at is the second derivative of -66350*p**4 - 217*p + 66324*p**4 + 273*p + 401*p + 6*p**2 wrt p?
-312*p**2 + 12
Let x(g) be the second derivative of -24*g**8/7 + 47*g**4/6 - 88*g. Find the third derivative of x(v) wrt v.
-23040*v**3
Let n(d) be the first derivative of 13*d**6 - 95*d**3 + 2*d + 415. What is the third derivative of n(j) wrt j?
4680*j**2
Let u(h) = 255*h - 994. Let g(v) = -170*v + 662. Let n(p) = -7*g(p) - 5*u(p). Differentiate n(r) wrt r.
-85
Let s(w) be the third derivative of 49*w**5/30 - 17*w**4/6 - 71*w**2 + w. Find the second derivative of s(g) wrt g.
196
What is the first derivative of -24*d - 4 - 55 - 7 + 15 wrt d?
-24
Let a be -3*((-7)/(-3))/(-7). Let n(p) = 5*p**2 + 3*p - 3. Let w be n(a). What is the second derivative of -8*t + 12*t**w + 20*t - 10*t wrt t?
240*t**3
Suppose -s = 3 - 5. Suppose 0 = s*f - 1 + 5, 12 = 4*i - 4*f. What is the first derivative of -2*r**4 - 2 - 2*r**4 + i wrt r?
-16*r**3
Differentiate -85*x**2 - 2*x + 336 - 139*x**2 + 90*x**2 + 212 - 211*x**2 with respect to x.
-690*x - 2
Let a(o) be the third derivative of o**7/105 + o**5/60 + 2*o**3 - 8*o**2. Let h(z) be the first derivative of a(z). What is the second derivative of h(w) wrt w?
48*w
Find the second derivative of 20*b**2 - 13*b + 22*b + 27*b**2 - 9 - 6*b wrt b.
94
Let w(l) be the second derivative of l**8/336 - l**5/8 + l**4/6 - 19*l. Let t(r) be the third derivative of w(r). Differentiate t(j) wrt j.
60*j**2
Suppose -2*o + 2*p + 0*p = -12, 3*p + 9 = 0. What is the third derivative of -v**4 + 267*v**3 + 29*v**2 - 267*v**o wrt v?
-24*v
Let u = 229 - 229. Let d(o) be the first derivative of 1/3*o**6 + u*o**5 + 0*o**4 + 0*o**2 - 1/3*o**3 + 4 + 0*o. What is the third derivative of d(l) wrt l?
120*l**2
Let q(a) be the first derivative of -54*a**5/5 - 126*a - 65. Differentiate q(w) wrt w.
-216*w**3
Let v = 18 + -14. Find the second derivative of 10*k**2 + v*k**2 + 2*k - k wrt k.
28
Let o(c) = -c + 6. Let t be o(3). Suppose 3*v + 3*z = -0*z + 9, 5*z - 6 = -2*v. Find the third derivative of t*x**5 - v*x**5 + 3*x**2 - 2*x**6 - 3*x**6 wrt x.
-600*x**3
Let z(o) be the first derivative of 29*o**6/6 - o**5/5 + o**3 + 3*o + 65. What is the third derivative of z(d) wrt d?
1740*d**2 - 24*d
Let p = -7 + 13. Suppose 0 = 3*y + p, 0*q + 5*y = -q - 8. Differentiate -4*v - 4 + 9*v + q*v**3 - 5*v wrt v.
6*v**2
Let s(b) = -54*b**5 - 3*b**4 + 3*b**3 + 13*b**2 - 3*b - 3. Let p(v) = v**4 - v**3 + v + 1. Let l(d) = 3*p(d) + s(d). Find the third derivative of l(x) wrt x.
-3240*x**2
Let k(o) = 17*o**4 + 12*o**3 - 22*o - 35. Let h(t) = -8*t**4 - 6*t**3 + 11*t + 17. Let p(u) = 11*h(u) + 6*k(u). What is the second derivative of p(s) wrt s?
168*s**2 + 36*s
Suppose 90 = 19*q - 14*q. What is the second derivative of 6 - 19*f**2 - 2*f - 3 - q - 4*f**2 wrt f?
-46
Find the second derivative of 2*h**2 - 5*h**2 + h**2 - h - 10*h - 172*h**3 wrt h.
-1032*h - 4
Let i be (21 + 3)/2*2/4. Find the third derivative of -108*m - 41*m**2 + 2*m**i + 57*m + 51*m wrt m.
240*m**3
Let n(h) = 8*h**2 - h + 2. Let p be n(-2). Let u be (-1)/4 - p/(-16). What is the second derivative of 2 + u - j**2 - 4*j - 4 wrt j?
-2
Let v(o) = 108*o**2 + 6. Let a(j) = -107*j**2 - j - 6. Let u(f) = -7*a(f) - 6*v(f). What is the second derivative of u(x) wrt x?
202
Let j(p) = -185*p**4 - 6*p**3 + 6*p**2 + 12*p + 12. Let n(y) = y**3 - y**2 - y - 1. Let h(c) = -j(c) - 6*n(c). What is the second derivative of h(r) wrt r?
2220*r**2
Suppose -u + 32 = -0*u - 2*x, -3*u = -x - 71. Suppose 5*z - u = -3*c, 3*c = 2*z + c + 4. Find the second derivative of -83 + 83 + 3*y + 6*y**z wrt y.
12
Let i(p) = 2*p**2 - p. Let n(x) = 243*x**4 - 10*x**2 + 6*x + 798. Let s(b) = -6*i(b) - n(b). Differentiate s(z) wrt z.
-972*z**3 - 4*z
Let d(b) be the second derivative of 281*b**6/15 + 521*b**3/6 - 7*b + 50. Find the second derivative of d(l) wrt l.
6744*l**2
Let a(k) be the first derivative of 85*k**4/4 - 21*k**2/2 + 2*k + 114. What is the second derivative of a(g) wrt g?
510*g
What is the first derivative of 3302 + 576*u - 3276 - 95*u wrt u?
481
Suppose -3*w - 17 = -44. What is the derivative of 1 - w - 4 + 8 + 3*b wrt b?
3
Let i(d) be the first derivative of -13*d**6/30 + 5*d**3/3 - 5*d + 12. Let r(n) be the first derivative of i(n). What is the second derivative of r(m) wrt m?
-156*m**2
Let j(w) = -2*w - 10. Let k(u) = u - 25. Let q be k(17). Let f be j(q). What is the third derivative of 0*g**3 + f*g**2 - 9*g**2 - 5*g**3 wrt g?
-30
Let p be 63/13 + 4*(-5)/(-130). Let i be 2/(-6) - 10/(-3). Differentiate l**3 - 4*l**i + p*l**3 + 1 wrt l.
6*l**2
Let q(d) = 9*d - 29*d**2 - 38*d - 36*d**2 - 20*d. Let z(n) = -33*n**2 - 24*n. Let s(w) = -2*q(w) + 5*z(w). Find the second derivative of s(y) wrt y.
-70
Let p(c) = -c**5 - c**2 + c + 1. Let v(f) = 11*f**5 - 54*f**3 + 5*f**2 + 809*f - 5. Let y(m) = 5*p(m) + v(m). Find the second derivative of y(q) wrt q.
120*q**3 - 324*q
Let p(r) be the third derivative of -22*r**6/5 + 401*r**4/12 + 83*r**2 - 1. Find the second derivative of p(m) wrt m.
-3168*m
What is the first derivative of -37 - 25 + 26*z + 11*z + 33*z wrt z?
70
Let o(g) = 3*g + 5*g + g**2 + 1 - 4*g. Let b be o(-5). Find the first derivative of b*d - 14*d + 8*d + 4 + 3*d**2 wrt d.
6*d
Find the second derivative of -j + 2*j**2 - 2*j**2 - 194*j**4 + 28*j**4 - 1 wrt j.
-1992*j**2
Let t(w) = 24*w + 10. Let b be 1/(((-2)/4)/((-8)/16)). Let k(o) = o. Let s(q) = b*t(q) - 5*k(q). What is the derivative of s(d) wrt d?
19
Find the second derivative of 39*z + 20*z + 31*z - 71*z**2 wrt z.
-142
Let d(r) = r - 1. Let i(l) = -15*l - 5*l - 54 + 79. Let h(b) = 6*d(b) + i(b). What is the derivative of h(n) wrt n?
-14
Let u(f) = -94*f**3 + 132*f**2 - 3*f. Let c(r) = 92*r**3 - 133*r**2 + 2*r. Let j(p) = 3*c(p) + 2*u(p). What is the third derivative of j(l) wrt l?
528
Let v(d) be the third derivative of 14*d**2 + 0*d**5 - 1/6*d**4 + 1/40*d**6 + 0*d**3 + 0*d + 0. Find the second derivative of v(m) wrt m.
18*m
Let g = 505 + -505. Let s(f) be the second derivative of 7*f - 4*f**2 + g - 1/4*f**5 + 0*f**3 + 0*f**4. What is the first derivative of s(b) wrt b?
-15*b**2
Suppose 9*o = 4*o - 4*y + 66, -3*y = -3*o + 18. What is the derivative of -5 + r + o*r - r + r wrt r?
11
Let t(s) = -464*s**2 - s - 89. Let i(j) = -463*j**2 - 2*j - 91. Let n(a) = 3*i(a) - 4*t(a). What is the second derivative of n(d) wrt d?
934
What is the third derivative of 81*u**2 + 2*u - 4*u - 5*u**4 - 145*u**3 - 3*u**3 + 3*u**4 + 0*u wrt u?
-48*u - 888
Let j(p) be the second derivative of 0*p**6 - 8*p + 0*p**5 + 0*p**2 + 0*p**3 - 1/4*p**4 + 5/21*p**7 + 0. What is the third derivative of j(v) wrt v?
600*v**2
Let o(f) be the first derivative of -f**6/8 + 4*f**5/15 - 4*f**2 - 26. Let p(i) be the second derivative of o(i). What is the third derivative of p(z) wrt z?
-90
Let u(f) be the first derivative of 23*f**4 - 9*f**2/2 + 3*f + 60. What is the second derivative of u(j) wrt j?
552*j
Let l(b) be the first derivative of 0*b + 13 + 0*b**4 + 4*b**3 - 1/3*b**6 + 0*b**5 + 0*b**2. What is the third derivative of l(c) wrt c?
-120*c**2
Let p(u) be the second derivative of 103*u**3/6 - 93*u**2 - 166*u. Find the first derivative of p(s) wrt s.
103
Let r(g) be the third derivative of -29*g**5/10 + 115*g**3/3 + 19*g**2 - 2. Differentiate r(y) with respect to y.
-348*y
Suppose -f - 3*n = -8, -2*f - 5 + 1 = -4*n. Differentiate 6*v + 12 - f - 2*v - 5*v wrt v.
-1
What is the second derivative of 103*x - 2504*x**4 + 2488*x**4 + 83*x - 2*x**2 wrt x?
-192*x**2 - 4
Suppose 3 = -270*m + 271*m. Let n(h) be the third derivative of -7/24*h**4 - 1/2*h**3 + 0*h + 0 - m*h**2. Differentiate n(t) wrt t.
-7
Let h be (1 - (-1)/(-2))/(2/8). Find the third derivative of -21*u**2 + 0*u**5 - 4*u**5 + 51*u**2 - 15*u**h wrt u.
-240*u**2
Let i(f) be the first derivative of -f**8/56 + f**4/3 + f + 3. Let d(h) be the first derivative of i(h). What is the third derivative of d(z) wrt z?
-120*z**3
Let x(y) = 267*y**4 + 5*y**3 + 307*y - 1. Let h(m) = -401*m**4 - 8*m**3 - 460*m + 1. Let j(q) = 5*h(q) + 8*x(q). What is the second derivative of j(g) wrt g?
1572*g**2
Let j(v) = 2*v + 12. Let w be j(-5). Find the third derivative of 0*b**5 + w*b**5 - 9*b**5 + 10*b**2 wrt b.
-420*b**2
Let c(g) be the second derivative of g**7/42 + 11*g**4/2 + 9*g**3/ | {
"pile_set_name": "DM Mathematics"
} |
a - 3150 for u.
-111
Solve 13305*y - 13308*y - 352 = 16*i, 5*y - 88 = 4*i for y.
0
Solve 0 = 5*a + 6*u + 28, -2*u - 12 = -740*a + 741*a for a.
4
Solve 2*w = 5*p - 47, -98*p + 2*w + 92 = -78*p for p.
3
Solve 26*o + 5*x + 180 = 17*o, x - 60 = 3*o for o.
-20
Solve 9*v - 2*f = -257, -44*f + 49 = 4*v - 47*f + 159 for v.
-29
Solve 4*w - 180*g + 188*g = 32, g = 4*w - 14 for w.
4
Solve -845665 = 4*v + 4*h - 845705, 5*v - 20 = h for v.
5
Solve 14 = -x + 3*m, 13*x - m = -99 - 91 - 30 for x.
-17
Solve 3*d + 2579*w - 16 = 2580*w, 0*d = -3*d - 3*w for d.
4
Solve -4*y + 0*v - 12 = -5*v, 21*y + 323*v + 328*v - 647*v = 58 for y.
2
Solve -4*a + 0*a = -15*m - 99, m = -a - 37 - 27 + 65 for m.
-5
Solve 3*y + 4*t - 69 = -y - 25, 88*y + 3*t = 33 for y.
0
Solve 4*i - 3*y - 10 = 0, 4131*i - 2064*i = 2069*i - 5*y - 26 for i.
-2
Solve -544 = 116*d - 3*p, 21307*p + 48 = 21303*p for d.
-5
Solve -9*o - 10*s - 40 = 0, 359*o + 2*s + 8 = 355*o for o.
0
Solve 6*g - 5*g - 32 + 161 = 5*n, 31*g + 48 = 27*g + 2*n for g.
1
Solve 23*i + 12 + 23 = -l - 4*l + 45*i + 23*i, 3*l - 41 = -4*i for l.
11
Solve 5*a = a - 360*o + 355*o - 10, 137*o + 155 = 2*a - 119 for a.
0
Solve 0 = -2*i - 4, 3*h - 46*i - 33 = -52*i - 240 for h.
-65
Solve -85*t = -90*t - 4*h - 37 + 69, h = -4*t + 4*h + 7 for t.
4
Solve 3*d + 0*d - 58 = -2*f - 13 + 42 - 11, 0 = -d - 18*f + 112 for d.
22
Solve -24 = v + 6*h + 43, -18*v - 77 = -16*v - 7*h for v.
-49
Solve 9 = -4*b + q + 1, 3*q - 1 + 13 = 9*b + 27 for b.
-3
Solve -2*u = 2*l - 20, 0*u - 15 = u - 5*l + 11 for u.
4
Solve 66*d - 11*o = 84*d - 0*o + 2*o + 68, 39 = -2*d - 4*o + 11 for d.
2
Solve 18*c = 4*q + 288, -3*q - 1277*c + 1275*c + 32 = 0 for q.
0
Solve 0 = -2*w + 5*n + 21, 0 = -18*n + 25*n - 5*n + 6 for w.
3
Solve -4*g + 571*x = 289*x + 287*x + 39, 4*g + 21 = x for g.
-6
Solve 0 = 201*p - t - 193, 2*p + 42*t = p + 41*t + 9 for p.
1
Solve -139328*a + 7*n - 102 = -139323*a, 0 = -3*a - 56*n + 601 for a.
-5
Solve 5499*m - 5490*m + 19 = -5*g, 6*m - 4 = 5*g for g.
-2
Solve 8*r = 132*m - 128*m - 368, -7*m = -2*r - 68 for r.
-48
Solve 0 = -2*o + q - 18, 37496244*q - 37496234*q - 300 = -4*o for o.
5
Solve -6*b + 13*p = -155, 0 = -p - 4175 + 4170 for b.
15
Solve -o + 200 = -0*o - 134*a + 99*a, 17 = o - a - 13 for o.
25
Solve 54 = m - 5*b, 3*m - 7*m + 15193 = -7*b + 15107 for m.
4
Solve 19 = -k, -406*r - 15*k = -403*r + 270 for r.
5
Solve 4*u - 48 = 3*w, -2*w + 5 = 154*u - 1373 for u.
9
Solve -3*n = -25*q - 129, -2*q + 3*n - 42 = 5 + 13 for q.
-3
Solve -5*h = -4*p - 37, -4*h = p - h + 81 - 93 for p.
-3
Solve -3*t + 36 = x - 7*x, x + t = -3 for x.
-5
Solve 4*h = -43*t + 315, 4*h - 17*h + 5*t - 125 = -17*h for h.
25
Solve 15*b = 12*b - 16*b - 20*b - q + 1716, 0*b = -0*b - q for b.
44
Solve 121*b - 4*d + 820 = 16*b + d, 2*b = 4*d for b.
-8
Solve 6*y = 4*r + 38, -1949*y + 21 + 37 = -4*r - 3889*y + 1942*y for r.
-17
Solve 14*t - 4*n = 54, -t - 41*n - 3 = -39*n for t.
3
Solve -o - 4*m - 44 = 3*o, -21*o + 1065222*m = 1065217*m + 122 + 5 for o.
-7
Solve -q + 3167*u - 51 = 3171*u, 4*u = -2*q - 82 for q.
-31
Solve 15*g + 6 = 18*g, -2*a - 5*g - 3*g - 34 = 3*a for a.
-10
Solve 43 = f - 5*w, -4*f - 658*w + 44 = -662*w for f.
3
Solve 2*z + 1203*o = 1215*o + 78, 5*z - 72 = -11*o for z.
21
Solve -1872*b + 3*x + 18 + 4 = -1877*b + 5*x, -4*x = 16 for b.
-6
Solve -3*q + 11 = -4*t + 5*t, q - 4*t - 1545 = -3089 + 1552 for q.
4
Solve -u + c = 4*u + 2*c - 422, u - 12*c + 485 = 545 for u.
84
Solve -4*n - 4 = -4*l, 5*l + 46*n + 27 = 43*n for l.
-3
Solve -3*x + g = -81 + 24, 134*x + 5*g - 63 = 129*x - 308 for x.
2
Solve -20771*p + 7 = 3*m - 20772*p, -7*p = -2*m - 8 for m.
3
Solve -5*j - h - 15 = 0, j + 3*h + 1568 - 1529 = h for j.
1
Solve f - 7 = 105*j - 108*j - 8, -j = -4*f - 4 for j.
0
Solve 0 = -v - 4*u - 55, 24 = -4*v - 15*u + 13*u for v.
1
Solve 60*u - 59*u - 5*t - 52 = 0, u + 5*t - 2*t - 11 + 49 = -t for u.
2
Solve 24 = 2*m + 5*j - 16 + 45 - 20, j - 25 = 4*m for m.
-5
Solve -2*k = 3*x + 155, 443*x - 444*x + 169*k + 627 = 0 for x.
-49
Solve -2*i - 2*u + 0*u = -32, -880*i + 876*i = 3*u - 66 for i.
18
Solve 1225*s - 343 = -9*k + 1223*s - 110, 34 = 2*k - 4*s for k.
25
Solve -3*h = 6834*j - 6831*j + 90, 0 = -4*j - h - 108 for j.
-26
Solve -3*r - 75 = -5*l, -672 = 453*r - 591*r + l for r.
5
Solve -5*i - 10 = -5*q, 123*i + 651 - 54 = 6*q for q.
-3
Solve 91*u - 85*u + 14 = 7*b - 55, 4*b + 5*u + 6*u = -76 for b.
3
Solve 3*r = -a - 31, 180*a + 18*r + 138 = -202*a + 379*a for a.
-16
Solve 41*n - 4 = 39*n - o + 43 - 7, 4*n + 3*o = 130 for n.
-5
Solve -27*a - 20*m = -25*a - 390, 0 = a - 0*a - 3*m + 52 for a.
5
Solve -72 = 3*l + 4*h, -2603*l + 451 = -2626*l + 3*h for l.
-20
Solve -4*s + 3 = -9*a, a + 19 = 38*s - 36*s for a.
5
Solve 46 = 2*i + 26*c - 98, 28*c - 63*c + 43 = 4*i - 32*c for i.
7
Solve 4*s + 145*p = 280*p - 139*p - 8, 4*s + 12 = -5*p for s.
2
Solve -273 = 5*v - 37*u, -891*v + 117 = -896*v - 2*u for v.
-25
Solve -6*o + 2*o - 24 - 30 - 20 = -o - 4*y, 0 = 25*y - 125 for o.
-18
Solve -4*i + 19 = 3*f - 8*i, 2*i + 5 = 4*f - 7 for f.
1
Solve -3*p + 35*a + 39*a - 78*a - 27 = 0, a + 1 = 5*p for p.
-1
Solve -2*j - 225*w - 18 = -227*w, -11*j - 3*w - 29 = 0 for j.
-4
Solve -4*g = 3*q - 12, -83*g - 4*q = 25889 - 26138 for g.
3
Solve -701*c + 706*c = -44*k + 83, -4*c + 2 = 3*k for c.
-1
Solve -y + 4*o - 5 = -0, 44*o - 30*o = 17*o - 3 for y.
-1
Solve 1840 = -2*a + 5*h + 1804, 0 = -4*a + 4*h - h - 44 for a.
-8
Solve 2*k - u = 696 - 703, -2*k = 5*u - 23 for k.
-1
Solve 3*z + 23 = 5*x, 7*z + 39 = -2*x - 0*z - 42 for x.
-2
Solve 105*g - 101*g - 34 = 2*a, -2*a - 74 = -9*g for g.
8
Solve -7949*p + 19 = -7947*p - u + u - u, -133 = -15*p - 2*u for p.
9
Solve -2*f - 2*x - 28 = 0, -20*f - 267 = -x - 281 for f.
0
Solve 0 = 2*j - z - 10, -3*j - 2*z - 123 = -124 for j.
3
Solve 5*y - 69 + 17 = -2*s, -5*y = -s + s - 5*s + 200 for s.
36
Solve -86*d = -4*y + 3*y - 83*d - 22, -500 = 100*y + 5*d + 2005 for y.
-25
Solve -17 = 2*i + 5*t - 3, 53*i + 25*t + 91 = 50*i for i.
3
Solve 2*o = 10, -2*z + 5*z + 53*o = -2*z + 54*o - 15 for z.
-2
Solve 0 = 133*q + 4*p + 282, -86*p - 2 - 17 = -q - 82*p - 1 - 4 for q.
-2
Solve -98 = 3*f - 2*c - 81, 3*c - 45 = -2*f for f.
3
Solve -3695*p = -3690*p + 5*m + 5, -5*p + 2*m = -2 for p.
0
Solve -34*o - 54*o - 5880 = -4*q, 4*o - 2*q = -260 for o.
-67
Solve 2*f = -5*k + 462 - 248 - 240, -f + 4*k = -13 for f.
-3
Solve f + 208*i - 204*i = -17, 0 = 2*f - i + 61 for f.
-29
Solve o + h = 4, -11*h - 23*h = -3*o - 296 + 197 for o.
1
Solve 5*b = 4*t - 39, 39 - 44 - 169 = -t + 56*b for t.
6
Solve 4*r - 20 = -2*q, -1172 = 55*q + 2*r - 1074 for q.
-2
Solve 12*f - 76 = 14*v, -4*v + 1839*f = 1841*f - 38 for v.
4
Solve 0 + 18 = 5*d + 4*f, -8*f = -1343*d + 1346*d - 22 for d.
2
Solve 0 = 3*b - 4*c - 0 + 71, -2*b - 5*c = -42*b - 1140 for b.
-29
Solve -16*y = 4*o + 340, 6*o - 3*y - 1613 + 1529 = 0 for o.
3
Solve k + 2*j = -2*k + 35, 0 = -44*k + 46*k + 2*j - 30 for k.
5
Solve 3*p = -42, -6316 + 6970 = z - 47*p for z.
-4
Solve 201*y + 2*x - 3007 = 0, 3*y - 879*x = -878*x + 49 for y.
15
Solve 4*g + 1 + 5 = 2*g + 2*x, -16*g + 23*g + 2*x = 12*g for g.
2
Solve -3*a - 30 = -3*f, -14*a + 18*a - 33*f + 268 = -149 for a.
3
Solve 28 = -0*p - 5*p + 8*j - 3*j - 17, 0 = -4*j + 40 for p.
1
Solve -6720*b + 6719*b = 4*m + 38, -3*b + 456 = -45*m for b.
2
Solve 34*v - 30*v + 37 - 157 = 2*v - 2*d, -7*d = -v + 28 for v.
56
Solve -210 = 2*s + 4*i, -27*i + 245 = -215*s + 211*s for s.
-95
Solve 5*j = -4*w - 104, 54*w + 12*j = 5*j + 2*j - 154 for w.
-1
Solve -53 = 5*y - 2*t - 68, 9*t = y - 89 for y.
-1
Solve 2*i = -2*w - i - 66 + 38, w - 3*i = -32 for w.
-20
Solve -8*w - 3 = -6*s - 31, 4*s + 247 = w + 250 for s.
2
Solve -53 = 2*s + 3*b, -5*s = -710*b + 717*b + 125 for s.
-4
Solve 2*f + 3*c + 133 = -0*c, 2*c + 211 = 2*f - 3*c for f.
-2
Solve 2*k - 18*v + 40 = 0, -2*v + 167 = -27*k + 109 for k.
-2
Solve -9768489*o + 3 = -9768490*o - 5*t, o + 4*t + 3 = 0 for o.
-3
Solve -z - 4635*m + 4631*m + 97 = 0, 2*z + 5*m - 125 = 0 for z.
5
Solve 5*n + 12 = -2*r, 6*r + 2*n + 43756 - 43748 = 2*r for r.
-1
Solve -41*j + 219*h = -40*j + 218*h + 1, 0 = -2*j - 2*h + 10 for j.
2
Solve 0 = 5*j - 2*i + 4, 0 = -7*j - j + 6*j + 12*i - 24 for j.
0
Solve 2*m + 5*z = -9, -5289*z + 6 = -m - 5293*z for m.
-2
Solve n + 0*n + 24 = 3*s, 5*n + 24 - 48 = -3*s for s.
8
Sol | {
"pile_set_name": "DM Mathematics"
} |
Let m be 4/28 + 316/p. Let d = -12 - m. List the prime factors of d.
3, 11
Let r(o) = o**3 + 3*o**2 + 6*o - 8. Let t(p) = -p**3 + 4*p**2 + p. Let d be t(4). What are the prime factors of r(d)?
2
Let d(o) = -o + 9. Let h be d(6). Suppose -10 = -h*k + k. Suppose k*f + 20 = -r, -f + 0*f + 20 = 5*r. What are the prime factors of r?
5
Suppose 3*d - 8*d - 486 = -3*t, 5*d = 2*t - 324. List the prime factors of t.
2, 3
Suppose 26 = 2*o - 5*u, 3*o + 2*u = -u + 18. Suppose 6*j - o = 2*j. Suppose -3*t = -0*t + j*h - 30, -5*t - 3*h + 49 = 0. What are the prime factors of t?
2
Suppose 4*r = -2*x + 44, 5*r + 4*x + 14 = 63. Let d be 10/(-6)*(-12)/(-2). Let t = r + d. What are the prime factors of t?
3
Let j = 37 - 21. Let d = j + 107. Suppose -d = -6*z + 303. List the prime factors of z.
71
Let y(r) = 55*r + 76. Let t(o) = 37*o + 51. Let b(m) = 7*t(m) - 5*y(m). What are the prime factors of b(-12)?
13
Let m(n) = 6*n - 31. Let z be m(6). List the prime factors of (580/z)/1 + 3.
7, 17
Suppose -2*d = -4*d. Suppose d*o = 5*o - 800. Suppose j - o = -4*j. List the prime factors of j.
2
Let a = 174 + -75. Let v = 270 - a. List the prime factors of v.
3, 19
Suppose -3*q + 70 = l, 3*l + 6*q - 180 = 3*q. Suppose -249 = -5*f + 4*y, 4*f - 137 - l = -4*y. Let z = f - 21. What are the prime factors of z?
2, 7
Let i(g) be the second derivative of 3*g**3/2 + 5*g**2/2 - g. Let n(q) = -3*q + 1. Let t be n(-1). List the prime factors of i(t).
41
Suppose -7*w + 1097 = -212. What are the prime factors of w?
11, 17
Let j = -41 - -22. Let v = j + 62. What are the prime factors of v?
43
Let a(n) = 3*n**2 - 25*n + 40. List the prime factors of a(15).
2, 5, 17
Let y be 42/(-56) - 17/4. Let t(j) = 3*j**2 + 3*j + 7. Let b(c) = 7*c**2 + 5*c + 14. Let g(s) = -2*b(s) + 5*t(s). List the prime factors of g(y).
7
Let u(a) = 185*a**2 - 3*a. What are the prime factors of u(-2)?
2, 373
Let g = 412 - -22. What are the prime factors of g?
2, 7, 31
Let h(l) be the first derivative of 2*l**3 + 9*l**2/2 - 27*l + 49. List the prime factors of h(5).
2, 3, 7
Let d(h) = -7*h**3 + 2*h**2 + 10*h - 6. Let t = -8 + 10. Let p(y) = -3*y**3 + y**2 + 5*y - 3. Let g(v) = t*d(v) - 5*p(v). What are the prime factors of g(3)?
2, 3
List the prime factors of (-317760)/(-128) + (-6)/4.
3, 827
Suppose -4*d + 139 = -333. Suppose 662 + d = 10*g. List the prime factors of g.
2, 3, 13
Suppose -2*b = t + 63, 2*b + 5*t - 3*t = -64. Let i = -9 - b. Let s = 85 - i. What are the prime factors of s?
3, 7
Let k(s) = -s + 1. Let b(z) = -z**2 + 6*z + 27. Let a be b(-5). What are the prime factors of k(a)?
29
Suppose 0*g - 6 = 2*g, -2*t = 5*g + 21. List the prime factors of (-1 - t)*(-1 - -20).
2, 19
Suppose -5*p = 4*g - 873, 221 = 3*g - 2*g + 4*p. List the prime factors of g.
7, 31
Let u(q) be the third derivative of q**6/120 - q**5/15 - q**4/8 + 11*q**3/6 - 21*q**2. List the prime factors of u(5).
3, 7
Suppose 11*c + 4 = 4. Suppose -5*m - x - 2*x + 722 = c, 3 = -3*x. List the prime factors of m.
5, 29
Suppose -y + 2*m - 15 = 0, -y = -5*y + 3*m - 45. Let p = 38 + y. List the prime factors of p.
29
Suppose x - 249 = 129. What are the prime factors of x?
2, 3, 7
Let g = -41 + 259. What are the prime factors of g?
2, 109
Let q(s) = -s**2 + 17*s + 62. List the prime factors of q(19).
2, 3
Let q = -6 - -11. Suppose -163 = -3*u + i - 3*i, 5*i = -q. What are the prime factors of u?
5, 11
Suppose -2510 - 2330 = -u - 4*q, 2*q = 4*u - 19360. List the prime factors of u.
2, 5, 11
Let g = 18 + -15. Let c be 2 + 4 + -3 - g. Let q(y) = y**3 + y**2 + 46. List the prime factors of q(c).
2, 23
Suppose -5*r + 9*r = -252. Let b = r + 98. What are the prime factors of b?
5, 7
Suppose -3*u + 0*u - 30 = -5*m, -5*u = -5*m + 30. Suppose 0 = 4*y - 14 - m. Suppose 0 = -7*q + y*q + 122. List the prime factors of q.
61
What are the prime factors of (0 + -214)/((-1)/7)?
2, 7, 107
Let z(h) = h**3 - 4*h**2 - 3. Let i be z(2). Let d = 15 + i. Let g(b) = b**3 - b**2 - 6*b + 1. List the prime factors of g(d).
5
Suppose 0 = r + 4*y - 1605, 5*y + 1229 = r - 331. List the prime factors of r.
5, 317
Let i(g) = 68*g**2 + g. Let d be i(-1). Let m = -42 + d. Suppose -m = -3*t + 47. What are the prime factors of t?
2, 3
Suppose 5*c = 5*i - 350, 127 + 80 = 3*i - 2*c. Let q = 1177 - 1179. Let x = i + q. What are the prime factors of x?
5, 13
Suppose -2*x + 1 + 7 = 0. Let u be (-3)/x*(-8)/2. Suppose -u*c = 2*c - 35. What are the prime factors of c?
7
Let y = 36 - -104. Let a = y - 89. List the prime factors of a.
3, 17
Let p(j) = 69*j**2 + 4*j - 186. List the prime factors of p(8).
2, 2131
Let f = 507 + 244. Suppose -f = -5*u + w, 2*u - 4*w = 29 + 257. What are the prime factors of u?
151
Suppose 3*k + 3*h + 16 = 2*k, 5 = -5*h. Let r = -82 + 102. Let z = k + r. List the prime factors of z.
7
Suppose 38 = -v + 324. List the prime factors of v.
2, 11, 13
Suppose 0 = -5*x - 0*x - 15, 2*v - 3*x - 203 = 0. Suppose 2*m = -3*d - 0*d + v, -4*m + 188 = 4*d. List the prime factors of m.
2, 11
Let l(m) = -259*m - 44. List the prime factors of l(-5).
3, 139
Let c = 783 - 311. What are the prime factors of c?
2, 59
Let z(h) be the third derivative of h**7/360 - h**6/720 + h**5/120 + h**4/3 + 4*h**2. Let p(w) be the second derivative of z(w). List the prime factors of p(3).
61
Suppose 2*i = 5*i - 9. Let n(t) be the first derivative of t**4/4 + 2*t**3/3 - t**2 + 4*t + 197. List the prime factors of n(i).
43
Let j be (-2)/4 - 42/12. Let z(k) = -71*k - 12. List the prime factors of z(j).
2, 17
Let g = -745 + 895. List the prime factors of g.
2, 3, 5
Let h(s) be the third derivative of s**5/30 + 3*s**4/8 - 5*s**3/3 - 13*s**2. What are the prime factors of h(-7)?
5
Suppose 2*b = -0*b + 6. Suppose -7*c = -b*c + 124. Let f = -16 - c. What are the prime factors of f?
3, 5
Let b be 183 + (0 - 1) + (1 - 4). Suppose -3*d = -2*o - b, 2*o - 348 = -4*d - 114. List the prime factors of d.
59
Let i(n) = -3*n**2 + 131*n + 101. What are the prime factors of i(30)?
11
List the prime factors of ((-2481)/(-6))/(20/40).
827
Let q = 5 + 0. Let s = q + -3. Suppose 0 = -b + 2, -16 = -s*v + v - 2*b. List the prime factors of v.
2, 3
Let y(j) = 7*j**2 - 2*j + 1. Let c be y(1). Suppose 0 = c*b - 54 - 48. List the prime factors of b.
17
Let g be 5/((-15)/9) + (-2 - -35). Let w(o) = -o**2 + 6*o - 5. Let p be w(4). Suppose -4*l + p*l = -g. What are the prime factors of l?
2, 3, 5
Let c(r) = 2680*r**2 - 21*r - 20. List the prime factors of c(-1).
7, 383
Let b = -156 + 273. Let d = b - 65. Suppose d = j + 8. List the prime factors of j.
2, 11
Let p = 30 + -30. Suppose p = -2*m + 23 + 1. What are the prime factors of m?
2, 3
Suppose -30*w - 10174 = -4*z - 25*w, -8 = 4*w. List the prime factors of z.
3, 7, 11
Let s(o) = -32*o + 9. List the prime factors of s(-9).
3, 11
Suppose 8*o - 3*o - 100 = 0. Suppose -28 + 124 = 4*z. What are the prime factors of (o/8 - 2)*z?
2, 3
Let r(j) = -j - 5. Suppose i + 5 = 0, -i + 45 = -5*o - 3*i. Let q be r(o). Suppose -86 = -8*h + q. What are the prime factors of h?
11
Let v(k) = -k**3 - 9*k**2 + 4*k - 7. Let w be v(-10). Let y = -23 + w. What are the prime factors of y?
2, 3, 5
Suppose 2*q = -l - 2, 2*l + 3*q = 8*q - 4. List the prime factors of (-2546)/(-34) - l/17.
3, 5
Let x be (4 - 52/10)/(3/(-5)). Suppose -3*i - 569 = -x*p, -2*p - 3*i = -8*i - 563. List the prime factors of p.
17
Suppose -r = -4*r + 6. Suppose -6*l + 4*x = -2*l - 692, -r*x + 185 = l. Suppose -4*d + 2*w = w - l, 4*d - 4*w = 192. List the prime factors of d.
43
Suppose 0 = -3*i - 4*z + 3348 - 582, 5*i - 4602 = -4*z. List the prime factors of i.
2, 3, 17
Let f = 259 + -125. List the prime factors of f.
2, 67
Let g be ((-3)/2)/(2*5/(-20)). Suppose -2*z + 270 = -k, -1 = -2*k + g. What are the prime factors of z?
2, 17
Let o = 48 + -3. Let m be o/3 - (1 - 3). Suppose -6 + m = n. List the prime factors of n.
11
Let p(c) = c**3 - 13*c**2 + 15*c - 12. Let u be p(12). Let n = u - -20. What are the prime factors of n?
2, 11
Suppose -269 = -2*o + 837. Suppose 6*c + 4*p = 3*c + o, 4*c - 749 = -3*p. List the prime factors of c.
191
Suppose -130*d = -118*d - 996. Suppose -2*m + 74 = -4*i, -3*i - 74 = -3*m + m. Let h = d - m. What are the prime factors of h?
2, 23
Let h(f) = f**3 - 32*f**2 + 29*f + 18. List the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
255*s**2 + 49*s - 303. Give v(1).
-31
Let y(z) = 114164*z - 228327. Determine y(2).
1
Let s(p) = 93*p**2 - 66*p + 175. Determine s(3).
814
Let s(m) = 5*m**3 + 15*m**2 - 45*m - 352. What is s(-6)?
-622
Let p(q) = 152*q + 41081. Calculate p(-272).
-263
Let b(u) = -28*u**2 - 5659*u + 16997. Give b(3).
-232
Let n(x) = 5466*x + 1180646. What is n(-216)?
-10
Let o(g) = -11*g**3 - 9*g**2 - 7*g - 97. What is o(8)?
-6361
Let g(q) = -92269*q - 276782. What is g(-3)?
25
Let t(i) = -3*i**2 - 65*i - 352. Give t(-9).
-10
Let l(b) = 444520*b - 136. Give l(0).
-136
Let x(z) = 8653*z + 2327651. Calculate x(-269).
-6
Let y(b) = 103*b**3 + 62*b**2 - 843*b - 904. What is y(-1)?
-102
Let y(j) = -j**3 + 134*j**2 + 245*j + 3470. Determine y(136).
-202
Let b(t) = -t**2 + 1050*t + 257424. What is b(-205)?
149
Let y(w) = 175*w - 801. What is y(5)?
74
Let c(n) = n**3 + n**2 - 81770*n - 163536. What is c(-2)?
0
Let z(c) = -2*c**3 + 342*c**2 - 11*c + 539. Calculate z(171).
-1342
Let k(m) = 46*m - 117. Calculate k(19).
757
Let a(x) = 7*x**2 - 314*x - 1213. Calculate a(60).
5147
Let f(l) = -359*l**2 - 2604*l - 629. Give f(-7).
8
Let z(u) = 2*u**2 + 500*u + 22376. What is z(-51)?
2078
Let t(i) = -341159*i + 2729261. Calculate t(8).
-11
Let d(l) = -2923*l + 70118. What is d(24)?
-34
Let t(k) = -2*k**2 - 107208*k + 214414. Give t(2).
-10
Let l(y) = 8*y**2 + 5764*y - 127621. Give l(-742).
3
Let v(p) = 2*p**3 + 45*p**2 + 8*p + 1905. What is v(-24)?
-15
Let k(y) = y**2 - 95*y - 1228724. Calculate k(1157).
10
Let h(q) = 2442*q + 111. What is h(0)?
111
Let d(l) = -7998*l - 22061. Calculate d(-3).
1933
Let v(a) = 68084*a + 2519115. Give v(-37).
7
Let p(k) = 366*k - 20749. Determine p(56).
-253
Let i(f) = -327*f + 4902. Give i(15).
-3
Let o(b) = 2*b**3 + 62*b**2 + 222*b + 3252. Determine o(-29).
178
Let b(h) = -3*h**2 - 273*h - 1583. Determine b(-6).
-53
Let h(g) = 112303*g - 2246065. Calculate h(20).
-5
Let n(u) = -u**2 + 245*u + 331324. Give n(711).
-2
Let v(m) = m**3 - 15*m**2 - 198*m + 2912. Determine v(16).
0
Let v(p) = -26*p**3 - 1125*p**2 - 339*p - 1645. Calculate v(-43).
-11
Let j(r) = 362788*r + 3628008. Calculate j(-10).
128
Let i(f) = -2*f**3 - 17*f**2 - 103*f - 1138. What is i(-9)?
-130
Let f(s) = 112*s**2 + 246*s - 1792. Calculate f(7).
5418
Let s(w) = -79*w**3 - 2*w**2 - 3*w. Give s(3).
-2160
Let q(l) = 3*l**3 - 56*l**2 - 222*l + 3866. Calculate q(19).
9
Let i(w) = -2*w**2 - 2136*w - 447348. Calculate i(-782).
-44
Let z(a) = -2676*a + 82957. Determine z(31).
1
Let p(x) = x**3 - 50*x**2 - 1670*x - 649. Give p(73).
8
Let w(g) = 35579*g + 3451158. Give w(-97).
-5
Let l(b) = 7*b**2 + 400*b - 1689. Calculate l(4).
23
Let p(m) = -m**3 - 15*m**2 + 146*m + 35. Calculate p(-22).
211
Let a(q) = -11*q**3 - 59*q**2 - 23*q + 173. Calculate a(5).
-2792
Let k(r) = -11*r**3 + 278*r**2 - 336*r + 55. Determine k(24).
55
Let c(n) = 36223*n - 3586086. Give c(99).
-9
Let m(f) = 75*f - 302. Calculate m(4).
-2
Let c(q) = -3985*q - 147457. Give c(-37).
-12
Let k(n) = 13*n**3 - 9089*n**2 + 1390*n + 5571. Give k(699).
-21
Let c(y) = 2*y**3 - 11*y**2 + 30940*y - 500412. Give c(16).
4
Let m(u) = -5*u**2 + 79*u - 101. Give m(15).
-41
Let w(i) = i**2 - 400*i + 10075. Determine w(27).
4
Let m(w) = 4924*w**2 + 891*w. Calculate m(-1).
4033
Let b(y) = 68*y**2 - 94*y + 14. What is b(2)?
98
Let n(i) = 3*i**3 + 11*i**2 - 1266*i - 519. Give n(19).
-25
Let z(n) = 16609*n - 33176. What is z(2)?
42
Let f(j) = -j**2 + 1620*j - 20917. Give f(13).
-26
Let u(l) = -25*l**2 - 3*l + 1. Give u(1).
-27
Let x(g) = -243*g + 13744. Give x(72).
-3752
Let d(s) = 3*s**2 + 507*s - 4814. Determine d(9).
-8
Let t(q) = -3584*q - 32268. Determine t(-9).
-12
Let h(v) = -v**2 + 44242*v - 796035. What is h(18)?
-3
Let y(h) = h**3 + 730*h**2 - 5436*h - 3968286. What is y(-730)?
-6
Let o(a) = -a**3 - 310*a**2 + 1002*a + 19767. Determine o(-313).
48
Let d(a) = -143*a + 23847. Determine d(168).
-177
Let y(v) = -655*v**3 + 665*v**2 + v. Give y(1).
11
Let k(d) = d**3 + 2275*d**2 + 6816*d - 8. Calculate k(-3).
-8
Let z(o) = -o**2 - o - 226. Give z(-8).
-282
Let f(t) = -25851*t + 206820. Give f(8).
12
Let s(y) = y**3 + 51*y**2 + 2306*y + 122688. What is s(-52)?
72
Let c(y) = -825*y**2 - 37*y + 71. Give c(2).
-3303
Let v(c) = 2044*c**3 - 8*c**2 + 4*c + 7. Give v(-1).
-2049
Let m(v) = -838540*v - 6708314. Determine m(-8).
6
Let d(h) = -7*h**3 + 138*h**2 + 6*h - 6. Calculate d(8).
5290
Let i(t) = 1531*t**2 - 109*t - 109. Determine i(-1).
1531
Let f(b) = 1687*b + 22659. What is f(-12)?
2415
Let y(j) = -1370*j + 18952. Calculate y(14).
-228
Let v(p) = -4*p**3 - 203*p**2 + 108*p + 2740. Give v(-51).
-167
Let t(h) = 20*h**3 - 35*h**2 + 31*h + 85. Determine t(2).
167
Let x(d) = -18*d**2 + 334*d + 6849. What is x(31)?
-95
Let m(v) = -21*v**2 + 4297*v - 12895. What is m(3)?
-193
Let p(s) = -1648*s + 238968. Determine p(145).
8
Let k(n) = 2*n**2 - 4329*n - 34755. Determine k(-8).
5
Let q(d) = 2*d**3 - 107*d**2 - 280*d - 436. What is q(56)?
-436
Let f(q) = 2273*q**2 + 11355*q + 2. Calculate f(-5).
52
Let b(x) = -9*x**3 + 1350*x**2 + 16*x - 2326. Give b(150).
74
Let f(b) = b**3 + 341*b**2 - 1106*b - 25456. Determine f(-344).
0
Let f(d) = 4942*d + 200306. What is f(-40)?
2626
Let v(p) = -34*p**2 + 6808*p - 1521. Calculate v(200).
79
Let q(p) = 6346*p + 50495. Determine q(-8).
-273
Let q(n) = -3501*n + 220565. What is q(63)?
2
Let j(c) = -2*c**2 - 46*c + 41549. What is j(-156)?
53
Let f(t) = t**3 + 49*t**2 - 732*t - 32127. Determine f(-51).
3
Let i(k) = 4*k**2 + 56*k - 172. Give i(-13).
-224
Let h(c) = -130*c + 5661. Give h(44).
-59
Let d(h) = 4*h**2 + 73*h + 345. Determine d(-17).
260
Let r(i) = -59*i + 4464. Give r(77).
-79
Let k(b) = -3*b**3 - 779*b**2 + 258*b - 525. Determine k(-260).
-5
Let w(j) = -3686*j + 29490. What is w(8)?
2
Let a(y) = -2*y**3 - 96*y**2 - 186*y - 192. Determine a(-46).
-100
Let m(s) = -42*s + 43. What is m(0)?
43
Let r(z) = -z**3 - 165*z**2 - 270*z + 9187. Determine r(-163).
59
Let j(s) = -272*s**2 + 810*s + 28. Determine j(3).
10
Let w(a) = -2*a**3 - 30*a**2 - 10366*a - 144723. Determine w(-14).
9
Let d(w) = 655*w + 18797. Calculate d(-30).
-853
Let n(m) = 94*m - 42853. Calculate n(456).
11
Let f(u) = 2*u**3 + 19*u**2 - 98*u - 1461. What is f(-12)?
-1005
Let z(s) = -s**3 - 275*s**2 - 15486*s - 401. What is z(-196)?
-9
Let u(j) = -99*j**2 + 873*j + 911. Calculate u(-1).
-61
Let k(r) = -r**3 - 182*r**2 + 2844*r + 660041. Determine k(-177).
8
Let s(l) = 2*l**3 + 100*l**2 + 737*l - 2123. Determine s(-12).
-23
Let s(d) = 2*d**2 + 1258*d + 162156. What is s(-181)?
-20
Let k(g) = -g**3 + 390*g**2 + 441*g - 19536. Give k(391).
14
Let m(p) = 6641*p - 145483. Give m(22).
619
Let n(z) = z**3 - 639*z**2 + 13583*z - 112. Determine n(22).
86
Let a(m) = 602*m + 11291. Calculate a(-21).
-1351
Let j(g) = -3*g**3 + 5*g**2 + 40*g + 1. Give j(4).
49
Let l(n) = 15*n**2 + 273*n - 1206. Calculate l(-22).
48
Let f(c) = c**3 - 44*c**2 + 85*c - 1849. Give f(43).
-43
Let n(i) = 66*i**2 + 4362*i + 387. Give n(-66).
-9
Let j(b) = 18256*b + 109544. Give j(-6).
8
Let b(f) = -14*f**2 - 713*f + 30. Give b(-52).
-750
Let b(j) = 58994*j - 649884. Determine b(11).
-950
Let b(o) = -7*o**2 - 38*o + 4783. Determine b(-29).
-2
Let j(g) = 4*g**3 + 52*g**2 - 228*g - 3022. Give j(-13).
-58
Let c(v) = -v**3 - 14*v**2 + 8598*v + 103438. Determine c(-12).
-26
Let k(n) = n**3 - 37*n**2 + 324*n - 12223. What is k(37)?
-235
Let l(k) = 8*k**2 - 2120*k + 2396. Calculate l(262).
-3892
Let b(k) = 6*k**3 - 156*k**2 - 158*k - 118. What is b(27)?
-10
Let i(g) = -51196*g + 1996639. Determine i(39).
-5
Let y(x) = 53*x**3 + 1216*x**2 - 133*x - 1478. Determine y(-23).
-6
Let y(j) = -j**3 + 28*j**2 - 69*j - 77. Determine y(17).
1929
Let r(l) = 2*l**3 - 79*l**2 + 86*l + 120. Give r(38).
-944
Let p(w) = 3*w**2 + 212*w + 2824. Calculate p(-53).
15
Let u(l) = 751*l**2 + 6631*l + 67. Give u(-9).
1219
Let g(o) = -o**2 + 1594*o + 45484. Determine g(-28).
68
Let k(m) = 2*m**3 - 330*m**2 + 2811*m - 43. Determine k(9).
-16
Let o(b) = 7*b**2 - 435*b + 6432. What is o(38)?
10
Let n(g) = 2213*g - 10291. Calculate n(5).
774
Let v(x) = -2*x**2 + 40*x + 91. What is v(38)?
-1277
Let i(y) = 48908*y**2 + 782553*y + 396. Calculate i(-16).
-4
Let x(y) = 79*y**2 - 124*y - 140. What is x(-2)?
424
Let w(l) | {
"pile_set_name": "DM Mathematics"
} |
34 = -2*g - 5 - 27, 0 = 2*m - 18*g - 51 - 83 for m.
4
Solve -45*i - 34*i - 28*i + 9*i - 474 = -0*i + 4*m, -4*m + 16 = 0 for i.
-5
Solve 0 = -4*j + 4 + 42 + 6, -2*d + 97 = 15*j - 100 for d.
1
Solve -5*r = t + 7, -1522*r + t = -1512*r + 8 for r.
-1
Solve 27*y - 12*g - 7 = 15*y + 7*y + 40, 0 = -5*y - 4*g - 49 for y.
-5
Solve 8*h + 9*f - 15 - 92 = -4*f, 0 = -5*h - f - f + 24 for h.
2
Solve -79*i - 71 = -5*l - 13, 2*i = 4*i + 3*l + 2*l + 104 for i.
-2
Solve 0 = -4*h + 3*t - 43, 1037*h - 4*t + 986 = 103*h - 0*t for h.
-1
Solve n + 15*p + 4 = 6*p + 31, 0 = -p + 1 for n.
18
Solve 5*a + 9 = 6*h, -2*a - 4*h = 26968864 - 26968886 for a.
3
Solve 183 + 377 = -13*v - 142, 3*y - y - 2*v + 35 - 151 = 0 for y.
4
Solve u = -39828*y + 39826*y - 12, y + 5*u + 6 = 0 for y.
-6
Solve -26*t + 148645 - 148527 = 4*w, 2*t = -2*w + 4 for w.
-3
Solve -160 = 4*c - 2282584*d + 2282586*d, 5*d = 6*c + 208 for c.
-38
Solve 0 = -5*u - 21*o + 635, 57 = -2*u + 2*u - 9*u + 3*o - 24 for u.
1
Solve -1 = 2*d - 5*a, -2*d + 229*a + 67 = 20 - 176 for d.
-3
Solve -4*k + 18193*y - 18197*y - 72 = 0, -142 = -2*k - 91*y for k.
-20
Solve i + 17*z + 93 = 12*i + 12*z, i + 2*z = -21 for i.
3
Solve 4*f + 60 = 20*z, -4*z = 5*f - 2029729 + 2029746 for f.
-5
Solve 152 = 4*y, -33*y - 2*y = 4*f - 31*y + 17 - 177 for f.
2
Solve 4*b = -2*p + 116, 215*p - 92 = 213*p + 4*b for p.
52
Solve -160 = -5*u + 2*g + 3*g - 45, -4 = -4*g for u.
24
Solve c - 11 = q, -4*q + 28 - 81 = 3390*c - 3385*c for q.
-12
Solve 12568*c - 5*a = 12569*c - 22, -c - 6*a + 20 = 0 for c.
32
Solve 101*d - 73*d + 5*m = 501, 6*m - 3 = d + 2*m for d.
17
Solve 1 = -i + 4*b, 119*i - 122*i - 3 = -6*b + b for i.
-1
Solve 0 = 5*d - 4*k + 27, -55 + 16 = 3*d - 50*k + 40*k for d.
-3
Solve 788*u - 1582*u + 789*u + 0 + 3 = -b, 4*b + u = -33 for b.
-8
Solve 21 = -2*c - 2*k + k + 52, 3*c - 46*k = 284 for c.
18
Solve -402752*t = 5*f - 402750*t - 28, -2*t - 12 = -5*f for f.
4
Solve -54*f + 0*l - 5*l = -2612, 3*f + 12*l - 18*l - 120 = 0 for f.
48
Solve 3*m - 4*z - 216 = 0, 0 = 377*m - 379*m - 3*z + 144 for m.
72
Solve 64*g - 19*g - 38*g = -5*m - 59, 9*m - 4*m - 4 = 2*g for g.
-7
Solve -33 = 4*x + 3*o, 11*x = -2*o + 383 - 405 for x.
0
Solve 5*o + 270 = -5*u, -981003*o + 5*u = -981000*o + 2*u + 144 for o.
-51
Solve -6*f - 2*q = -74, f - 805190 = -5*q - 805187 for f.
13
Solve -212505 = a + 3*b - 212515, -16*b + 68 = -2*a for a.
-2
Solve -5*h + 102649*n + 67 = -3*h + 102646*n, -13*h - 37 = 3*n for h.
2
Solve -45 = 4*w - 5*l, -12*w + 49*w - 11*w - 11*w = 4*l - 95 for w.
-5
Solve -3*x + c = -25, -x - 51 = 5*c + 40 - 94 for x.
8
Solve -12 = -2*q, 5*q + 1483079 = f + 1483114 for f.
-5
Solve 4*u - 14 - 108 = 2*l, -l + 12*u = 351 for l.
-3
Solve -5*l + 11808*g - 11801*g - 37 = 83, l + 4*g = -24 for l.
-24
Solve -7*r = 4*c + 107, 149*r + 38 + 38 = -3*c + 148*r for c.
-25
Solve -3*m + 58*z - 101 = 246, -10 + 66 = -4*m + 151*z - 155*z for m.
-19
Solve 15*r - 19*r = -5*x + x - 80, -50*r + 1106 = 3*x - 0*x for x.
2
Solve 97 = 3*d - 5*l, -1019*d + 5*l = -1014*d - 95 for d.
-1
Solve -3*b + 33*w = -4 + 124, b - 10 = 6*b - 10*w + 9 + 1 for b.
4
Solve -3*t - 7*t - 401 = 4*u - 3*t, -4*u + 3*t + 71 + 118 = 0 for u.
3
Solve -o = 2*z - 72, 829*z + o + 32 = 826*z + 141 for z.
37
Solve -13183 = -5*w - 4*a - 13204, 0 = 3*w + 3*a + 15 for w.
-1
Solve -3*q = -5*x + 113, 1268*q = x + 1264*q - 128 for x.
4
Solve 33*h - 38*h = -4*x - 5 - 14, -22*x - 267 = 5*h for h.
-5
Solve 1092*g = 1097*g + s + 256, -5*g = 2*s + 257 for g.
-51
Solve -q - 312 = -12*q + 2*g - 160, 4*q - 2*g - 54 = 0 for q.
14
Solve 4*l - 3*i = -20, 7*l - 2303*i + 2306*i = 164 - 166 for l.
-2
Solve 0 = 24799*d - 24796*d - 3*v + 174, -9*d + 3*v = 156 for d.
3
Solve -82 = -5*h + 4*f, 2*f + 2*f + 82 = 10 - 0 for h.
2
Solve -2 = -5*o + 3, -952 + 966 = 5*h - o for h.
3
Solve 2*g + 49 = -7*m, -1809*g - 16*m - 60 = -1804*g - 11*m for g.
-7
Solve 53 = 4*h + 22789*f + 22785*f - 45579*f, -3*h + 2*f + 38 = 0 for h.
12
Solve -5*z + 3*z + 3*z - 201 = -4*l + 99, -7*l + 2*z = -525 for l.
75
Solve -4*w + 69209 - 69189 = -0*w, -2*c - 34 = -4*w for c.
-7
Solve 5*w - 2 = 4*d - 17, -2*d + 12*w - 2 = -0 for d.
5
Solve 19867*o + 18 = 19864*o, -2*s = -3*o - 24 for s.
3
Solve 4*i - 2*q = -18, -210*i + 214*i + 43 = -3*q for i.
-7
Solve 5*h = -3*o + 26, -10*o + 74 = 4146*h - 4142*h for o.
7
Solve -17*b - 86 = q - 40*b, q - 5*b + 7 = -8 + 1 for q.
6
Solve -2*c = 9*t - 49, -28 = -4*c - 36848*t + 36844*t for c.
2
Solve 2*x + 8 = 5*f, x - 28020 = -3*f - 28013 for x.
1
Solve -2*h + 25159*s = 25161*s, -5*h + 6 = 3*s for h.
3
Solve -3*w = 4*i + 50, 93*i - 48*i = 49*i + 20 for w.
-10
Solve 0 = 2*k + x + 8, 30149*x + 25 = -3*k + 30154*x for k.
-5
Solve 4*m - 28119 = 3*k - 28086, -25*m = -4*k - 365 + 85 for m.
12
Solve -3 = -2*y - 5*j - 11, 4*y - 2*y - 3*j + 8 = 0 for y.
-4
Solve -7*y - 362 = n - 200, -6*n = -y - 17 for n.
-1
Solve 4*u + 3*w + 40 = -12 - 12, 25*u - 23*u + 18 = -w for u.
5
Solve 4*x = 3*a + 19, -2*x + 3*a = 3*x - 7*x - 13 for x.
1
Solve 3*o + 8 + 1 = -f - 13, 457 = -3*o + 86*f for o.
-9
Solve 18*h - 51 = 3*i, -2085 = -2*h + 5*i - 2056 for h.
2
Solve -36 = -3*p - 5*d, 0 = 4*p - 27*d - 36*d + 61*d + 30 for p.
-3
Solve 41*h + 7*p - 1 = 39*h + 4*p - 18, -3*h = 4*p + 25 for h.
-7
Solve -2910 = -23*m - 2*g - 2983, 4*g + 23 = -5*m for m.
-3
Solve -3*z + 18 = x, -3*x - 3*x + 66 = 15*z - 6*x - 3*x for z.
5
Solve 2*l = -11*q + 45, -2*q - 109894*l + 36 = -109889*l for q.
3
Solve -10*n + 3*a + 30 = -4*n, -77 + 69 = -n - a for n.
6
Solve 20 = 5*k - 5*z - 0, -2868 = -4*k + 5*z - 2847 for k.
-1
Solve 2*h = -h + 2*g - 18, 5*h - 16*h + 2 = -7*h + 6*g for h.
-4
Solve -2*o - 99 = 2*r - 27, -5*r = 7*o - 3*o + 185 for r.
-41
Solve 331*c - 61 = -5*j + 339*c, -3*j + 3*c + 33 = 0 for j.
9
Solve 0 = 5*p - k + 40 - 24, 3*p = 3*k - 12 for p.
-3
Solve -15356*x - 125 = -5*u - 15361*x, -5*u - x + 145 = 0 for u.
30
Solve 20*c - 16 = r + 23, 3*c - 6*c = 11*r + 206 for c.
1
Solve 0 = 5*v - 7*s + 57, -342 = -3*v + s - 716 + 327 for v.
-17
Solve -3*c - 3*v + 42 - 24 = -4*v - 39, 16*v = 7*v for c.
19
Solve -13 = -3*o - 4*t, 3*o - 1842*t + 3 = -1847*t + 11 for o.
11
Solve 2*j - 7*x + 18 = -5*x - 14 - 14, 4*x = -2*j - 16 for j.
-18
Solve -17*h - 1239 = -3*g, -2*h + h + 0*h + 273 = -5*h - 3*g for h.
-72
Solve -68 = -27*a - 188*r + 207*r, 5*r = 3*a - 22 for a.
-1
Solve -5*k = 3*q - 3471 + 3602, 5*q - 149 = 2*q + 5*k for q.
3
Solve -2*b + 3 = 179*s - 177*s + 1, -17*s - b - 2 + 3 = 0 for s.
0
Solve 23*c - j = 78, 7*c - c - 2*j + 7*j + 27 = 0 for c.
3
Solve 3256*a - 3255*a = -3*y - 20, 4*y + 20 = 0 for a.
-5
Solve -88 = 4*b - 2435932*p + 2435933*p, 3*p + 748 = -34*b for b.
-22
Solve 0 = -5*q - 5*j - 89 + 189, 4*q = -40*j + 224 for q.
16
Solve -4*h = -4*i + 16, 291*i - 4*h - 1707 = -256 for i.
5
Solve 0*t + 65 = 5*y + 4*t, -123347 = 3*y + 3*t - 123389 for y.
9
Solve 3*i + 46*t = 43*t - 36, 2*i - 19*t - 165 = 0 for i.
-3
Solve 60 = 5*n - 2*x + 91, 2*n - 2*x - 9*x + 94 = 0 for n.
-3
Solve 3*c - 1 - 6 = l, -9*l + 10*c - 17*c = -4*c - 27 for l.
2
Solve -57*a + 12 = 49*a - 104*a - 2*p, 4*a + p + 31 = 0 for a.
-5
Solve -5*f = -2*x + 108, -8*x + 28*f - 88 + 76 = -429 - 47 for x.
44
Solve 444*o - 150*o = 149*o + 144*o, -4*r + 6*o = 64 for r.
-16
Solve -3*k = 11*c + 58, -679*c + 1372*c + 8 = 2*k + 691*c for k.
-1
Solve 59*u + 3*c + 7 = 46*u + 14*u, 2*u - c = 9 for u.
4
Solve 0 = v + 5*l + 13, 6*v - 39*l + 33*l - 52 = 2*v for v.
7
Solve -7*y = -14*y - 6*d - 30, -6*y + 9*y - 4*d - 20 = 0 for y.
0
Solve 5*c - 8*f - 15 = 0, -1205*c - 3*f + 0 - 5 = -1207*c for c.
-5
Solve 3*q + n = 79 - 115, 0*q = -4*q + 32*n - 34*n - 10 - 36 for q.
-13
Solve 2*d - 14 = 18*b - 19*b, -3*b + 5*d + 8 - 21 = 0 for b.
4
Solve -2971*r - 9 = -2975*r + 5*y, -2*r = -2*y - 2 for r.
-4
Solve 6776*q - 36 = 3*c + 6778*q, -7*c + 2*q - 40 = 3*q for c.
-4
Solve -4 = 5*o - v + 2*v, -10*v + 180 = 55*v - 110*v for o.
0
Solve 0*b + 158 = -b - 0*b + 5*n + 156, b + 8 = -n for b.
-7
Solve 123*o = 121*o + 2*n + 52, -25*n + 20*n - 138 = -o for o.
-2
Solve -35973*g + 20 = -35968*g + 5*c, 0 = -g - 7*c + 46 for g.
-3
Solve -57626*h + 4*c - 1 = -57631*h + 5*c, -4*h + c + 3*c + 20 = 0 for h.
-1
Solve 0*a = -2*a + p + 1, -2*a = 3*p - 157826 + 157805 for a.
3
Solve -950 + 887 = -4*q + 3*w, -2*q + 23 = -w for q.
3
Solve 10865*d = 10868*d | {
"pile_set_name": "DM Mathematics"
} |
+ m**3 - 3*m**3).
-96*m**3
Expand 2*q + 2*q + 2*q + (5*q - 7*q + 2 + 0)*(0 + 0 + 2).
2*q + 4
Expand (-4*l + l + 2*l)*(0*l**2 + l**2 - 2*l**2) - 6 + 6 + 3*l**3.
4*l**3
Expand (6 - 6 - 3*j)*(4 - 5 - 31*j + 23*j).
24*j**2 + 3*j
Expand (-2*i**2 + 2*i**2 - i**3)*(-i**2 + 3*i**2 + 0*i**2) - 4*i**5 + 5*i**5 - 4*i**5 + 0*i**4 - 2*i**5 + 3*i**4 - 6*i**4.
-7*i**5 - 3*i**4
Expand (-1 + 2 + 1)*(-4*j + 6*j + 9*j).
22*j
Expand ((r**2 + r**2 - r**2)*(4 - 5 + 2) + 0*r**2 - 10 + 11 - 2*r**2)*(2 + 3*r - 2).
-3*r**3 + 3*r
Expand -3*s**3 + 2*s**2 + s**2 + s**2 + (2 + 2 - 3)*(s**2 - 2*s**3 - s**2) - 2*s**2 + 2*s**2 + s**3.
-4*s**3 + 4*s**2
Expand (7 + 8 - 5 + 0)*(0*s**2 + 0*s**2 - s**2).
-10*s**2
Expand (23*w - 36*w + 34*w)*(2 + 4 - 4).
42*w
Expand -2 + 4*a**5 + 2 - 3*a**5 + 2*a**5 + 3*a**5 - a**5 + 6*a**5 - 3*a**5 + (4*a**3 - 2*a**3 - 3*a**3)*(a**2 - 2*a**2 + 2*a**2) + a**5 - 2*a**5 - a**5.
5*a**5
Expand 3*y**5 + 5*y**5 + 0*y**5 + (4*y**3 - 5*y**3 - y**3)*(-3*y + y**2 + 3*y).
6*y**5
Expand (9 - 25 + 11)*(-1 - g + 1) - 3*g + 3*g - g + (3 - 3 + 2*g)*(-3 + 2 + 3).
8*g
Expand k + 2*k + 0*k + (-3 + 3 - 2*k - 1)*(-2 + 4 - 4).
7*k + 2
Expand (-11*k**4 - 4*k + 4*k)*(3*k - 2 + 2).
-33*k**5
Expand -99 + 99 - 34*h**2 + (2*h - 3*h - h)*(-5*h + 5*h + 2*h).
-38*h**2
Expand (2*l + l - 2*l)*(2*l + 0*l + 0*l) + (1 - 1 - 3*l)*(1 + 3*l - 1).
-7*l**2
Expand f - f + f**3 + f - 2*f**3 - f + (-1 - 1 + 0)*(-2*f**3 + 2*f**2 - 2*f**2) - 2*f**3 + 2*f**3 - f**3.
2*f**3
Expand (s - 2*s + 0*s)*((-3 + 2 + 3)*(-2*s + 0*s + 3*s) - s + 3*s - 8*s + s + 0*s + 0*s + 5 - 5 + s).
2*s**2
Expand -g**5 - g**5 + g**5 + g**4 + g**5 - g**4 + 0*g**4 + 7*g**5 + 0*g**4 + (3*g + 3*g**2 - 3*g)*(-3*g**3 + 2*g**3 + 0*g**3) - 4*g**2 - g**5 + 4*g**2.
3*g**5
Expand (3*w**2 - w**3 - 3*w**2)*(-w + w + w)*(2*w - 2*w + 9*w).
-9*w**5
Expand (0*n**2 + 0*n**2 - n**2)*(2 - 1 - 4)*(2 - 3 + 2)*(10*n - 6*n + 7*n).
33*n**3
Expand 0*y + 0*y + 2*y + (0*y + 4*y - 2*y)*(2 - 4 + 4) - 5 - 2*y + 5 - 6 - 42*y - 1 + 44*y.
6*y - 7
Expand (1 - 4 + 7)*(3*h + 0 + 0).
12*h
Expand 0*w**2 + 0*w**2 - w**2 + (4*w + w - 6*w)*(0*w + 3*w + 0*w) + 5 - 5 - 3*w**2.
-7*w**2
Expand (-4*g**2 - 2*g + 2*g)*(-1 - g**2 + 1)*(3 - 1 - 1).
4*g**4
Expand (5*s**2 + s**2 - 2 - 3*s**2)*(3 - 3 - 5*s).
-15*s**3 + 10*s
Expand (-3*z - 2*z - 2*z)*(-5*z + 2*z + z)*(-z**2 + 4*z**2 - 2*z**2).
14*z**4
Expand (-492 - 28*u + 492)*(-u + 0*u + 2*u) + u**2 - 5*u + 5*u + (1 - 3 + 0)*(-2*u**2 + 4*u**2 - 4*u**2) + 2*u - 2*u + u**2.
-22*u**2
Expand (-6 + 2 + 3)*(0*q - 2*q + q) + 29*q + 16*q - 7*q.
39*q
Expand (0*x**2 + 0*x**2 + 2*x**3)*(-x**2 + 3*x**2 - x**2) - 4*x**3 + 0*x**5 - 3*x**5 + 5*x**3.
-x**5 + x**3
Expand (-3 + 3 + 6*g**5)*(-1 + 0 - 3).
-24*g**5
Expand (2*r**2 - 729*r + 729*r - 89)*(r**3 + 0*r**3 + r**3).
4*r**5 - 178*r**3
Expand -2*m + 5*m - 4*m + (2 - 6 + 2)*(-4 + 2*m + 4) - 2*m + 11 - 11 + (-4 + 3 + 4)*(4*m - 4*m - 4*m).
-19*m
Expand ((-o - 3*o + 3*o)*(-3 + 4 + 1) + 6*o - o - 2*o)*(-2 + 2 + 2*o**3).
2*o**4
Expand 2 + 4*y**5 - y**5 - 1 + (-2*y**2 - 2*y**2 + 2*y**2)*(2*y**3 - y**3 - 2*y**3).
5*y**5 + 1
Expand (0*s**3 + s**3 + 3*s - s**2 + 3*s**2)*(-2 + 2 + 5).
5*s**3 + 10*s**2 + 15*s
Expand (-2 - q + 2)*((1 - 2 - 1)*(0 - 2 + 0) + 2 - 2 - 2).
-2*q
Expand m**2 + 2 - 2 + 2*m**2 + 0*m**2 - m**2 + (-1 + 2 - 3)*(m**2 + 0*m**2 + 0*m**2) + (2*m + 1 - 1)*(-4*m + 2*m + 4*m).
4*m**2
Expand t**3 - t**3 + 8*t**4 + (-3*t**4 + 5*t**4 + t**4)*(2 + 2 - 2) - t**4 + 3*t**4 - 3*t**4.
13*t**4
Expand -2*j**3 + 2*j**3 - j**4 + (3*j**3 - 3*j**3 - 2*j**4)*(3 + 1 - 2).
-5*j**4
Expand (-2 + 2 + 1)*(q + 3*q + 6*q).
10*q
Expand (-3*g - 6*g + 3*g)*(-15 - 13 - 9*g + 27).
54*g**2 + 6*g
Expand (2*w**3 + 0*w**3 - w**3)*(2 + 4 - 4) - 2*w**3 + 0*w**3 + w**3 - 2*w - w**3 + 2*w + (4 - 1 - 5)*(w**3 + 5*w**3 - w**3).
-10*w**3
Expand (-c**3 + 2*c**3 + c**3 + (c - 2*c - c)*(-4*c + 4*c + 2*c**2) - 2*c + c**3 + 2*c + 4*c**2 - 4*c**2 + 2*c**3 + 8*c + 7*c**3 - 8*c)*(0*c**2 - c**2 - c**2).
-16*c**5
Expand (5*u - 2 - 2*u**3 - 5*u)*(-u**2 + 0*u**2 - 4*u**2).
10*u**5 + 10*u**2
Expand (5*z - 2*z - 4*z)*(2 + 2 - 1)*(5 - 4 + 5).
-18*z
Expand ((4 - a - 4)*(-5*a + a + 2*a) - 3*a**2 + 5*a**2 + 3*a**2)*(2*a - 2 + 2).
14*a**3
Expand (1 - 4 - 4)*(-4*n + 4*n + n)*(-n**2 + 0*n**2 + 3*n**2).
-14*n**3
Expand (-4*o + 3*o + 2*o)*(0*o**2 - 3*o**2 - 3*o**2).
-6*o**3
Expand 2*r**5 - 3*r**5 + 3*r**5 + (-2*r**5 + 0*r**5 + r**5)*(2 - 3 + 0)*(-1 + 3 - 3).
r**5
Expand (-1 + 4*q + 0*q - 5*q)*(19*q**3 - 2*q**3 - 34*q**2 + 33*q**2).
-17*q**4 - 16*q**3 + q**2
Expand (z + z**5 - z)*(-4 - 1 + 4) + (-3*z**2 - z**2 + z**2)*(-3*z**3 - 8*z**3 + 5*z**3).
17*z**5
Expand (n + 4 + n - 2)*(-6 + 16 + 5 + (7 - 3 - 1)*(2 - 2 - 1))*(-n + 6*n - 3*n).
48*n**2 + 48*n
Expand (2 - 2 - 2)*(-4*x**3 + 2*x**3 - 6*x**3) + x**3 - x**2 + 0*x**3 - 2*x**3.
15*x**3 - x**2
Expand (g**2 + 0*g + 0*g)*(13 - 13 + 8*g).
8*g**3
Expand (5*w**4 - 3*w**4 - 3*w**4)*(1 - 1 + w) - w**5 - 4*w**5 + 3*w**5 + w**5 - 5*w**5 - w**5 - w**2 + w**2 + w**5.
-7*w**5
Expand (-3 + 3 - 2*p)*(2*p - 2*p - 2*p) - 5*p**2 + 3*p**2 - 2*p**2 + (p**2 - 1 + 1)*(-2 + 3 + 1).
2*p**2
Expand (2 + 0 - 4)*(t - 7*t + 0*t + (-4 + 4 - 1)*(-2 + t + 2)).
14*t
Expand (-3*x**3 + 0*x**2 + 0*x**2)*((-2*x - x + x)*(2*x + 4*x - 3*x) - x - x**2 + x).
21*x**5
Expand (-z**3 - 2*z + 2*z)*(1 + 8*z**2 - 1) + (2 - 2*z**2 - 2)*(-2*z**3 + 0*z**3 + 0*z**3) + z**5 + 1 - 1.
-3*z**5
Expand (-5*o + 4*o + 3*o)*(o - 2*o - 5*o) + 0*o**2 + o**2 + 0*o**2 + o - o + o**2 + (-7 + 2 + 3)*(2*o**2 + 2*o - 2*o).
-14*o**2
Expand -22*r + 22*r - 9*r**3 + (-4*r + r + r)*(2*r - 2*r + 2*r**2) - r**2 - 4*r**3 + r**2.
-17*r**3
Expand 2*k**3 - 5*k**3 - k**2 + 2*k**2 + 2*k - 2*k + 2*k**3 + (-k**2 + 2*k**2 + k**2)*(k + 0*k - 3*k) + 3*k**3 - k**3 - 5*k**3.
-8*k**3 + k**2
Expand -2*g**2 + 0*g + 0*g + (g + 2*g - 2*g)*(-2*g + 7*g - 10*g) - 3*g**2 - g**2 + 3*g**2.
-8*g**2
Expand (-4 + 4 - 2)*(0 + 0 + b) + (0 + 0 + 2*b)*(2 + 0 - 1) - 2*b - 4*b + 5*b.
-b
Expand (1 - 3 + 3)*(22*k - 3*k**5 - 7*k**5 + 12*k**5).
2*k**5 + 22*k
Expand ((-4 + 4 + 2)*(-1 + 1 + 1) + 5 - 3 - 5 + 3 - 3 + 2)*(3*f**2 - 4*f**2 + 3*f**2).
2*f**2
Expand 4*v**5 + 4*v**4 - 4*v**4 + (-3*v**2 + 5*v**2 - 3*v**2)*(0*v**3 + 0*v**3 + 2*v**3)*(0 + 0 + 1).
2*v**5
Expand -2*r**5 - r**5 + 2*r**5 + 0*r**5 - 5*r**5 + 6*r**5 + (r**2 + 1 - 1)*(-3*r**3 + 7*r**3 - 2*r**3).
2*r**5
Expand (-5 + 4 - 1)*((-4*n**2 + 4*n**2 + 3*n**2)*(3*n - 7*n + 3*n) - n**2 - 3*n**3 + n**2).
12*n**3
Expand (p**4 + 0 + 0)*(2*p + 3*p - 2*p) - 4*p**5 - 5*p**5 + 3*p**5.
-3*p**5
Expand (v - v**2 - v)*(8*v - 63*v + 3*v).
52*v**3
Expand (2*v**4 - v**4 + v**4)*(4*v - 2*v + 0*v) - 3 + v**5 + 3 - v**5 - 3*v**5 + 5*v**5.
6*v**5
Expand (-2*u**4 - 1 + 1)*(1 - 3 + 7)*(3*u + 2*u - 4*u).
-10*u**5
Expand (-3*s**3 + s**3 + 5*s**3)*(3*s**2 - s**2 + s**2).
9*s**5
Expand 0*k - 4*k + 3*k + (0*k - k + 2*k)*(-6 + 2 + 2) + 3*k - 4*k + 2*k + (-5*k - 2*k + 2*k)*(-5 + 2 - 8).
53*k
Expand (z**2 + 3*z**2 - z**2)*(0*z + z + 0*z)*(1 + 0 + 1).
6*z**3
Expand o**4 + 0*o**4 - 2*o**4 + (4*o**2 + 2*o**2 - 7*o**2)*(-o**2 - 4*o**2 - 18 + 19).
4*o**4 - o**2
Expand -4*g - 2*g**4 + 4*g + 3*g**3 - 3*g**4 - 3*g**3 + (3*g**4 - 2*g**4 - 4*g**4)*(2 - 1 + 0).
-8*g**4
Expand (-p**3 + 3*p**4 + p**3)*(3 + 0 - 1)*(5 + 2 - 5)*(-1 + 4 - 4).
-12*p**4
Expand (2*q + 2 - 2)*(8*q + 5 + 3 - 4).
16*q**2 + 8*q
Expand (-5 + 1 + 5)*(-2*m**2 + 2*m**2 - 2*m**3).
-2*m**3
Expand 8*b**4 - 2*b + 2*b + b - 2*b**4 - b + (4*b + 0*b - 6*b)*(-4*b**2 + 2*b**3 + 4*b**2).
2*b**4
Expand -2*c + 2*c + 3*c + (0 + 0 - 3*c)*(4 - 5 - 1) + 3*c - 4*c + 2*c.
10*c
Expand (-2 - 4 - 3)*(1 + 1 - 1)*(-2*r + 2*r - r**3).
9*r**3
Expand (6*a - 6 - 4*a + 0*a)*(-2*a + 2 - 2).
-4*a**2 + 12*a
Expand (0*w**2 - w**2 + 2*w**2)*((0 + 1 - 2)*(-3 - 1 + 6) + 1 - 3 - 1).
-5*w**2
Expand (-4 - 3 + 6)*(-d + d - d**2)*(-d + 0*d + 2*d).
d**3
Expand (-h + h - h)*(-2*h + 3*h + 0*h)*(-2*h + 0*h + 0*h).
2*h**3
Expand (4*q**3 - 9*q**3 + q**3 + (-q + 3*q + q)*(-2*q**2 + 0 + 0))*(1 - 1 + 2).
-20*q**3
Expand (5 + 8 - 1)*(2*z + 3*z - 7*z).
-24*z
Expand q**2 - 4*q**2 - 1 + q**2 + 13*q**2 + 3*q**2 + 0*q**2 + (4*q**2 - 2*q**2 - 5*q**2)*(-1 - 3 + 6).
8*q**2 - 1
Expand (-2*v + 3*v - 3*v)*(-v - v + 0*v) - 2*v**2 + 2*v**2 + 2*v**2.
6*v**2
Expand (2*f**3 - 5*f**2 - 2*f + 1 + 5*f**2)*(2*f + 2*f**2 - 2*f).
4*f**5 - 4*f**3 + 2*f**2
Expand (7*n**2 - 2*n**2 - 3*n**2)*(36 - | {
"pile_set_name": "DM Mathematics"
} |
4)*(-138)/(-32)).
-2/23
((-28)/(-98)*49/7)/((-4)/712*4)
-89
((-156)/32)/((-7)/6*720/(-1120))
-13/2
(-27*(-36)/58320)/((-4)/10)
-1/24
Calculate 7 + 92/(7820/(-561)).
2/5
What is the value of 1048788/14985 - (111 - 41)?
-2/185
What is -40 + 7 + -5 + -8 - (-6 - -18)?
-58
(36/150)/(-228*54/(-1080))
2/95
What is the value of (280/252)/(((-7625)/150)/(-61))?
4/3
What is (-2072)/(-22) + 1 - (366/(-16287) + 3400/16643)?
95
Calculate -123 + 67 + 121 + 89.
154
Calculate 57/12597*102 + 84/(-858).
4/11
Evaluate (-4560)/200*((-35)/(-7) - 10).
114
Calculate (-42 + (-10659)/(-255))/(((-2)/(-6))/((-16)/(-120))).
-2/25
(-21)/1 + 0 - (-377244)/17465
3/5
((-43090)/(-186))/(-139)*(-252)/(-10)
-42
What is the value of (((-30)/24)/5)/(10320/960)?
-1/43
What is the value of (-6)/(-171) - 5088311/(-130587)?
39
What is the value of -60 + (-145)/((-6960)/1728)?
-24
(2 + 40/(-28) + 1139/(-2814))/(6/4)
1/9
What is ((-12)/(-5472))/(223/1338)?
1/76
(27 - 32)*(-10 - -44 - 33)
-5
Calculate (-90)/20*428/321*(45/22 - 2).
-3/11
What is the value of (-16)/(-14)*(99 + 26051/(-956))?
82
What is -3 - (-163968)/25376*(-13)/(-2)?
39
What is -8 - 1/1 - ((-16)/76 - (-100640)/(-2812))?
27
Evaluate ((-417)/(-78))/((-2)/(-4)) - 132*(-23)/(-276).
-4/13
957/(-51) + 31 + (-10620)/340
-19
What is 39/(-208) - (1641/(-48) + -6)?
40
What is the value of (1*-4*-1 + 143/(-26))*6336/(-216)?
44
Calculate (203 - 4876/24)*(-20)/18.
5/27
1/6 + -1 - ((-436)/4905)/((-1)/(-6))
-3/10
Evaluate (36/4 + -25 + 20 + -7)*2/(-69).
2/23
3 - (-1191)/(-171) - ((-2040)/(-850))/((-3)/5)
2/57
Calculate (-3 - -9)*((-420)/(-308) - 28/77).
6
What is the value of 9828/(-1053)*(-108)/308?
36/11
Calculate (22 - (-595)/(-28))/(((-216)/928)/(-27)).
87
41 + -13 + (-34)/((-170)/45)
37
What is the value of 139 - ((-6)/20 + 186648/6160)?
109
What is the value of ((-4428)/1722)/((-17)/(-28) + 9/(-12))?
18
Calculate 4/(-78)*((-30)/14 - 3300/(-22330)*-87).
10/13
What is the value of 38 + 7350/(-200) + 4/(-1360)*417?
2/85
What is ((-174)/(-1015))/(28/(-49)) + 5 + (-656)/140?
1/70
(-2946)/(-102) + (-20 - 328)/12
-2/17
What is (-14)/11 + 280000/(-6875)?
-42
What is (-8)/(96/(-126))*(10 + 0 + (-912)/114)?
21
Evaluate 284/71 - (2/9*-3 + (-483)/(-63)).
-3
161720/52559 - 2/26
3
Evaluate ((-125)/(-375))/(40/(-24)*3/15).
-1
Evaluate -18 - -5 - -27 - 1 - (-3)/(-1) - 44.
-34
66/550 + 151/200
7/8
(59936/(-18730))/((-24)/(-315))
-42
Calculate 8/((-8)/13) + (553/84)/((-13)/(-78)).
53/2
Calculate 10/(-1)*(-17)/(-7310)*-473.
11
What is (-56)/(-40) - (-649)/(-1180)*-4?
18/5
Evaluate (-113)/2373*(-42)/(-48) - (-1 - 681/792).
20/11
What is the value of 18/8*(-298 + (-266630)/(-879))?
12
What is (43/(-1935)*-30*(-33)/2)/(-3)?
11/3
What is (1344/98*140/(-40))/((-12)/(-8))?
-32
(-16)/(-14) + 1733/62388*0/2
8/7
What is the value of 80/(-176)*(-4598)/11286?
5/27
(0/(-5) + (560/15)/(-28))*4*12
-64
Calculate ((8472/(-9884))/((-9)/(-98)))/((-10)/9).
42/5
What is 0 + 10/5 - (-34 - (-21223)/589)?
-1/31
What is the value of (-588)/8560 + (-752)/(-40232)?
-1/20
Calculate -1 + -87 + (16 + (-585)/30)*-2.
-81
What is the value of (-225)/(-75) + 194*13/(-858)?
2/33
What is (99 - 48 - 119) + -8?
-76
-117 + 164578/1406 + 184/(-6142)
2/83
(-212 + 171)/(351/26 - 14)
82
Calculate (-1140)/(-2340)*20/(-380).
-1/39
What is the value of 11/(((-7920)/520)/(-3))?
13/6
(-870)/(-348)*-2*(-9)/((-162)/4)
-10/9
Calculate ((-56)/(-35))/((-414)/45)*(-2)/20*1.
2/115
What is the value of ((-350)/88 - -4)/((-48)/(-192))*473?
43
What is (-992)/73408 + 14427/(-222)?
-65
Calculate ((-8)/(-3) - 16/(176/11))*7.
35/3
(1*(-3)/(-6)*-12)/(186/(-3968)*-16)
-8
Evaluate (-17)/((-51)/(-4))*((-3255)/16450)/31.
2/235
Evaluate 6/(-14) - 58/(3 + -4 + (-20 - 98)).
1/17
Evaluate (-47 - -48)/((-1809)/54).
-2/67
What is the value of (-33)/(-18) + (-1400)/816?
2/17
What is the value of (936/(-46))/4 - ((-5)/3)/(274/822)?
-2/23
Evaluate (100/42)/(40675/113890).
20/3
Evaluate 2*(88 + (-17725)/200).
-5/4
Calculate (-3485)/(-6273) - 1794/(-27).
67
What is the value of (-3156 + -282)/191 - (-1 + -22)?
5
Calculate 1/(-3)*200/(-75)*1134/(-28).
-36
Evaluate (-28024)/(-10509)*(-4)/2112*-9.
1/22
What is ((-414)/(-24) + -27)/((-26)/104)?
39
Calculate 146/88 - 1 - -309*121/(-49852).
-1/11
Evaluate (26/(-2) + 60/15)*(-443)/(-17277).
-3/13
What is the value of (-512)/192*54/16*28/(-9)?
28
What is the value of 2/(-24) - ((-33520)/(-1984) - 17)?
2/93
What is the value of (-6 - ((-53)/106 - (-145)/(-22)))*(13 - -9)?
24
What is 10 + (363/(-177) + 2)/(((-294)/(-4137))/14)?
-1/59
(-14*27/504)/(2/20)
-15/2
What is the value of -16*(-986)/(-1392) - (-10)/3?
-8
What is the value of -109 + (177 - 27) + 70?
111
What is -4*(-4)/(-136) + 101695/1309 + (-39)/(-91)?
78
Evaluate 154062/(-1242) + 124 + (-478)/(-414)*1 - 5.
-35/9
350/345 - (-1560)/(-2340)
8/23
Evaluate 343/98 + 2436/(-728).
2/13
What is (-54)/5 - (-8)/15*(-2871)/(-1914)?
-10
((-20)/(3 + 1))/(51 + (-45976)/896)
16
Calculate (-3)/(-8) + (-31)/(-36) + (-7)/56.
10/9
What is the value of (-4)/(-16)*(-8244)/(-1832)?
9/8
What is 35/15*(1565/(-35) - -46)?
3
Evaluate ((-3182)/(-387) + -8)/((-28)/(-54)).
3/7
21012/142 + ((-792)/639)/(-44)
148
(1173 - 1057) + -1*29 - 10
77
(23 + -95)/(-12) - ((1 - -1) + (-24 - -15))
13
Evaluate 60/8*-2*(17 - (-12751)/(-738)).
25/6
Calculate ((-186)/10 - -7)*15*15/(-90).
29
What is the value of (((-1232)/(-21))/(-22))/((-10)/(-15)) + -38?
-42
Evaluate (-200)/45 + 4 + 76/20*203/(-261).
-17/5
-3027 + 2996 + 27 + 2
-2
Evaluate 29 - (-264)/(-1672)*19.
26
Calculate (-22338)/18615 + (-303)/(-40).
51/8
Evaluate ((7360/(-16))/46)/(-5).
2
Calculate (849/(-584112))/((32/48)/((-16)/3)).
1/86
Evaluate ((-12)/22)/(-1)*(206 + (-134 - 60)).
72/11
(-25)/(-15) + 17/51
2
What is the value of (295/(-177))/((-6)/207)*(-78)/(-585)?
23/3
-20 - 35 - (-15 - 13)
-27
What is the value of -66*29*20/12760?
-3
3/5*((32 - -2) + 157790/(-4650))
1/25
What is the value of (-2)/(-5) - (-16 + 27*(-3024)/(-4995))?
2/37
Evaluate (-124)/22 + -1 + 35 + -16*165/88.
-18/11
((-31)/(-620) - 19935/450) + (-3)/4
-45
(-79)/(165347/(-46)) - 3225/(-39585)
3/29
Calculate (3024/238 - 13)/(2/(-6)*-28 - 11).
3/17
((-3)/(-27))/(38 + (-17102)/459)*30/48
3/32
What is the value of 2/((3/(-133))/(216/(-1008)))?
19
What is the value of 24/(7/10*138/161)?
40
What is (30*4/320)/((-135)/36) - 511/(-10)?
51
Evaluate 6596/150 - (-2454)/92025.
44
What is -15*((-60)/(-132) + (-50)/(-11))?
-75
132/((-5)/(-2) - 1629/362)
-66
What is the value of (1 + 1956/(-9))*1080/1980?
-118
Calculate 120/296*2/(-10).
-3/37
Calculate 3276/224 - (-15686)/(-4048).
43/4
What is the value of (-4)/2*((-32 - -10) + (-1634)/(-76))?
1
What is the value of 15984/(-3663) - 98/539?
-50/11
Calculate 31 + (-15150)/950 - (8 - -7).
1/19
Calculate (((-153)/(-68))/((-120)/320) + 0 + 39)/15.
11/5
What is (-3)/((-24)/20) + ((-220)/(-154))/(30/168)?
21/2
Evaluate (-340 + 5)*(10 - (-153)/(-15)).
67
What is the value of -93*(-62)/93 - (-38 + 1)?
99
(((-147)/4998)/(4/(-68)))/((-341)/(-110))
5/31
(-12)/(-48) - -6*(-319)/(-792)
8/3
Calculate 501/(-4)*245/5145 + (-14)/49.
-25/4
(1 - (-183)/(-312)) + 121 + 43876/(-364)
7/8
(-56)/(-16)*((-34)/85*(-1010)/56 - 6)
17/4
(-25 - -1)/(1764/(-2793))
38
(-4)/32*11832/4437
-1/3
What is the value of 1 + -14 + 17 - 1/(((-34136)/(-8016))/17)?
2/251
(-4 - (-1770)/(-45))*(24/70)/(16/56)
-52
What is the value of 1010/15 + (-795)/(-477) - 4?
65
Calculate 15/(-110) - 1882902/(-39116).
48
What is 600/(-1700) + (-8)/(-2)*4152/816?
20
(76/(-3))/(8/((-240)/(-1190)) + -35)
-38/7
Evaluate ((-170)/595 - 17/14)/(3/78).
-39
((-14332)/7166)/((0 + 270)*(-2 + (-3)/(-2)))
2/135
What is the value of -33 - (-9 - 0)*11*3/(-33)?
-42
(-80)/255*-34 - 2/3
10
What is ((-164)/(-10) - 9) + (-588)/(-637)*(-39)/6?
7/5
What is 1 + -1 + 21 + (-43 - -26)?
4
What is -2*(0 - -1) + (-1151 - -1161) - 34?
-26
Evaluate 41 + (-6417)/155 + (-2 - 86/(-40)).
-1/4
21*(43/1075)/(8/200)
21
Calculate ((-12740)/117)/(-4) + (7/1 - 585/81).
27
Calculate 1 + 99/(-55) + (39348/(-12240) - 4/(-1)).
-1/68
What is (-89301)/(-2142) - 40 - 2*1/(12/(-1))?
13/7
What is ((-35)/(-10) - 5)*(8 + -8 + 2)?
-3
Calculate 1404/2574*(-18)/36.
-3/11
Calculate (2 - 1)/(408968/(-7412) - (-9)/51).
-1/55
What is the value of -202 - -238 - (0 + (-5310)/(-165))?
42/11
What is (1322/(-661))/(6/( | {
"pile_set_name": "DM Mathematics"
} |
ing order.
5, 1, 6/7, 0.4, 0.2
Sort 105/31, -2, 2/3 in increasing order.
-2, 2/3, 105/31
Put 25, -0.02, 2, 1, -0.4 in ascending order.
-0.4, -0.02, 1, 2, 25
Put 0.2, -181, -2/5, 1/7, -2 in descending order.
0.2, 1/7, -2/5, -2, -181
Sort 2, -3, 215 in descending order.
215, 2, -3
Put 0, 57, -5 in descending order.
57, 0, -5
Sort 1, -5, -3, -7 in ascending order.
-7, -5, -3, 1
Sort 5, 2, -0.4, -8/7 in decreasing order.
5, 2, -0.4, -8/7
Put -1/3, 519, 1 in descending order.
519, 1, -1/3
Put -2, 2/9, 12 in decreasing order.
12, 2/9, -2
Sort 5, 1, 0, -5.
-5, 0, 1, 5
Put 2/169, 3, -12 in descending order.
3, 2/169, -12
Sort -5, -0.4, 0.08.
-5, -0.4, 0.08
Put -46, -4, 3, 0 in increasing order.
-46, -4, 0, 3
Sort -640, -1, 0 in ascending order.
-640, -1, 0
Put -4, 2, -14/9 in increasing order.
-4, -14/9, 2
Sort 0.3, -2, -2/15, 49, -3.
-3, -2, -2/15, 0.3, 49
Sort -5, -3, -46 in increasing order.
-46, -5, -3
Put -6, -5, 792 in descending order.
792, -5, -6
Put 4, 12, -14 in increasing order.
-14, 4, 12
Sort -0.4, 210, 1/70 in increasing order.
-0.4, 1/70, 210
Sort -1/3, 14, -5 in decreasing order.
14, -1/3, -5
Put -2.8, 0.035, -1/9, -2 in decreasing order.
0.035, -1/9, -2, -2.8
Put 5, -4, -13, 4 in decreasing order.
5, 4, -4, -13
Sort 2/5, -0.4, -0.3, -0.12, 1 in decreasing order.
1, 2/5, -0.12, -0.3, -0.4
Sort -4, -10, 15 in decreasing order.
15, -4, -10
Sort 0, -0.7, 1, -2/7, -1/4 in increasing order.
-0.7, -2/7, -1/4, 0, 1
Put 32, -3, -1, 4, -5 in decreasing order.
32, 4, -1, -3, -5
Sort 31, 0.4, -1/6, 0.3 in decreasing order.
31, 0.4, 0.3, -1/6
Sort -28, -5, -2 in ascending order.
-28, -5, -2
Put 0.4, 7, 5, -2/15 in decreasing order.
7, 5, 0.4, -2/15
Put 1, -4, -69, -1 in decreasing order.
1, -1, -4, -69
Put 5, -106, 2/7, -5 in decreasing order.
5, 2/7, -5, -106
Put 11, 4, 95, 0 in ascending order.
0, 4, 11, 95
Sort 702, 1, -0.1, 4 in decreasing order.
702, 4, 1, -0.1
Sort 5, -10, 7, -3, 0 in decreasing order.
7, 5, 0, -3, -10
Sort -3.1, 1, -5/21 in increasing order.
-3.1, -5/21, 1
Sort 13, 5, -4 in descending order.
13, 5, -4
Sort -2/13, 4, 2/43, -5 in increasing order.
-5, -2/13, 2/43, 4
Sort 5, -159, 2/25, 4 in increasing order.
-159, 2/25, 4, 5
Sort 0.4, 41, -2, -4, 0.1 in increasing order.
-4, -2, 0.1, 0.4, 41
Put -4, 1, -595 in ascending order.
-595, -4, 1
Sort 62, -1, 3 in descending order.
62, 3, -1
Sort 2, -22, -45 in increasing order.
-45, -22, 2
Sort -1, -5, 2, -132 in decreasing order.
2, -1, -5, -132
Put -4, -3, 7 in decreasing order.
7, -3, -4
Put -90, 3, 1, -1 in increasing order.
-90, -1, 1, 3
Sort -8, -109, 1 in descending order.
1, -8, -109
Put -3, 7, -4, 5 in descending order.
7, 5, -3, -4
Put 5, 0.5, -2/5, -0.5 in ascending order.
-0.5, -2/5, 0.5, 5
Sort -4, 5, -783 in descending order.
5, -4, -783
Sort 8, -0.2, 0.2 in descending order.
8, 0.2, -0.2
Put -37, -1, -4 in ascending order.
-37, -4, -1
Put -3, -72, -1 in descending order.
-1, -3, -72
Put 0, -9, 5, -195 in increasing order.
-195, -9, 0, 5
Put 0, -6, 1/6, 2/9 in increasing order.
-6, 0, 1/6, 2/9
Put 4, 2, -4, 0, 49 in increasing order.
-4, 0, 2, 4, 49
Sort 3, 4, -5, 95.
-5, 3, 4, 95
Sort 1, 5, 35, 3, 16 in decreasing order.
35, 16, 5, 3, 1
Sort 0, 3/14, 2/11, -0.3, 4 in decreasing order.
4, 3/14, 2/11, 0, -0.3
Sort -1/15, 2, -7 in descending order.
2, -1/15, -7
Sort 1, -6, -13, 3.
-13, -6, 1, 3
Put 3, 0.27, 1 in descending order.
3, 1, 0.27
Put 5, 44, 7 in increasing order.
5, 7, 44
Put 1, -4, -2, 0 in descending order.
1, 0, -2, -4
Put 5, -4, 0, -29 in decreasing order.
5, 0, -4, -29
Put -249, -2/13, -0.3 in decreasing order.
-2/13, -0.3, -249
Sort 1, 4, -170 in decreasing order.
4, 1, -170
Put -31, 2, -23 in ascending order.
-31, -23, 2
Put -83, 4, 5 in ascending order.
-83, 4, 5
Sort 1, 5, 0, -3.
-3, 0, 1, 5
Put -15, -1, -0.16, -0.2, -1/2 in increasing order.
-15, -1, -1/2, -0.2, -0.16
Sort 156, -0.1, -0.3 in decreasing order.
156, -0.1, -0.3
Put -5, 1/4, 0.4, 5 in descending order.
5, 0.4, 1/4, -5
Sort 4, -34, -1, -2, -5 in increasing order.
-34, -5, -2, -1, 4
Sort -4, 2, -6, 4 in increasing order.
-6, -4, 2, 4
Put -34, -1/3, 26 in descending order.
26, -1/3, -34
Put 3, -3, 4, -4 in decreasing order.
4, 3, -3, -4
Sort -130, -0.2, 1/3 in descending order.
1/3, -0.2, -130
Sort 2, 20, -12, -2.
-12, -2, 2, 20
Sort 1, -790, -1 in descending order.
1, -1, -790
Put 6, -137, 0, 4 in ascending order.
-137, 0, 4, 6
Put 5, 150, 4 in increasing order.
4, 5, 150
Sort 2, 11, -2 in decreasing order.
11, 2, -2
Put -3, -16, 6, 1 in decreasing order.
6, 1, -3, -16
Put 36/7, -3, 2 in increasing order.
-3, 2, 36/7
Sort -3, -1, 7, -10 in descending order.
7, -1, -3, -10
Put 1/7, -1/7, -98 in ascending order.
-98, -1/7, 1/7
Sort 3, 4, 2, 12, 5.
2, 3, 4, 5, 12
Put -43, -5, -6 in descending order.
-5, -6, -43
Put 3, -5, 2/15, -22, -3/7 in increasing order.
-22, -5, -3/7, 2/15, 3
Sort 4, -4, -16.
-16, -4, 4
Put -4, -19, -1, 5 in increasing order.
-19, -4, -1, 5
Put 0, -261, 5 in descending order.
5, 0, -261
Put -24, 0.3, 0.4, -1, 2/3 in decreasing order.
2/3, 0.4, 0.3, -1, -24
Put 7, 14, 3 in descending order.
14, 7, 3
Sort 10, -0.5, 117/2.
-0.5, 10, 117/2
Sort 8.1, -0.6, -5 in ascending order.
-5, -0.6, 8.1
Put 2/5, -1/2, -3, 747 in increasing order.
-3, -1/2, 2/5, 747
Sort 6, 1/33, -4/9.
-4/9, 1/33, 6
Sort -3, -15, -5 in increasing order.
-15, -5, -3
Sort 2/13, 0.3, -6/11.
-6/11, 2/13, 0.3
Sort 23, 0, -3, 1 in descending order.
23, 1, 0, -3
Put -5, -1, -2, 62 in ascending order.
-5, -2, -1, 62
Sort 1/3, 0.13, -3 in ascending order.
-3, 0.13, 1/3
Sort 2/3, -1, -3/4, -106, 2 in increasing order.
-106, -1, -3/4, 2/3, 2
Put -4/3, 5, 2/9, -13 in ascending order.
-13, -4/3, 2/9, 5
Sort 12, -3, 5, -5 in ascending order.
-5, -3, 5, 12
Sort -69, -5, -30.
-69, -30, -5
Put 26, -3, 2 in descending order.
26, 2, -3
Sort 4, -14, 1, 0 in decreasing order.
4, 1, 0, -14
Sort -4, 65, -5, 5 in descending order.
65, 5, -4, -5
Sort -4, 19/4, 5, -3, 0.1.
-4, -3, 0.1, 19/4, 5
Put -1482, -2, 1/5 in descending order.
1/5, -2, -1482
Put -4, -3, -2, 2/77 in increasing order.
-4, -3, -2, 2/77
Sort 6, -8, -3 in decreasing order.
6, -3, -8
Sort 0, -0.4, -0.53 in ascending order.
-0.53, -0.4, 0
Put 2, 25, -11, -3, 0 in increasing order.
-11, -3, 0, 2, 25
Put -7, 5, 3, 1, 119 in decreasing order.
119, 5, 3, 1, -7
Sort 0, 1, 5, -46.
-46, 0, 1, 5
Put 0.5, -4, 3, -2.1 in descending order.
3, 0.5, -2.1, -4
Sort -0.4, -38, 5, -3/7 in ascending order.
-38, -3/7, -0.4, 5
Sort -3/5, -2/41, -0.5, 5, 1.2 in descending order.
5, 1.2, -2/41, -0.5, -3/5
Sort -2/3, 1/8, 0.21, 0.5, -3/5 in increasing order.
-2/3, -3/5, 1/8, 0.21, 0.5
Sort 46, 0, 1, 4 in descending order.
46, 4, 1, 0
Sort 4, 31, -99 in descending order.
31, 4, -99
Sort -8, -2, 5, 2, 23 in descending order.
23, 5, 2, -2, -8
Put -1, -4.1, 1/2, 0, -2 in descending order.
1/2, 0, -1, -2, -4.1
Put 8, 6, -3, 4 in ascending order.
-3, 4, 6, 8
Put -1/9, -4, -11, 2/3, -1 in descending order.
2/3, -1/9, -1, -4, -11
Sort 2, -1/26, 0.1, -2/11 in ascending order.
-2/11, -1/26, 0.1, 2
Put -16, 17, -20 in decreasing order.
17, -16, -20
Sort -3, -5, 1, -16, 4/13.
-16, -5, -3, 4/13, 1
Sort 0.5, -5, 2/241.
-5, 2/241, 0.5
Sort 92, 24, 5, 3 in descending order.
92, 24, 5, 3
Sort -9, 4, -3, 9 in increasing order.
-9, -3, 4, 9
Sort 3, 67, -4 in decreasing order.
67, 3, -4
Sort -4, -284.6, 1/4.
-284.6, -4, 1/4
Sort -3/5, 1/246, -2, -0.4, 0.06.
-2, -3/5, -0.4, 1/246, 0.06
Sort 22, -2, 0 in descending order.
22, 0, -2
Sort 0.2, -4, 0.1, -39 in decreasing order.
0.2, 0.1, -4, -39
Sort 5, -2, -7, 2 in descending order.
5, 2, -2, -7
Sort -0.4, -9, -4.
-9, -4, -0.4
Sort 1, 4, -20, 5 in decreasing order.
5, 4, 1, -20
Sort -2, -48, 15 in descending order.
15, -2, -48
Sort 0, -2, 440, -5 in descending order.
440, 0, -2, -5
Put -3, 3, 55 in increasing order.
-3, 3, 55
Sort 5, 15, -5 in descending order.
15, 5, -5
Sort 15, -33, -4, -3 in decreasing order.
15, -3, -4, -33
Sort -6, 24, -4 in descending order.
24, -4, -6
Sort 58, 4, -3/7 in descending order.
58, 4, -3/7
Sort -2/13, -1642, 4 in decreasing order.
4, -2/13, -1642
Sort -3, -377, 2 in increasing order.
-377, -3, 2
Sort -12, -3, 7 in ascending order.
-12, -3, 7
Sort 2, 192, 5, 4.
2, 4, 5, 192
Sort 0, 49, 5, 8 in decreasing order.
49, 8, 5, | {
"pile_set_name": "DM Mathematics"
} |
is g(v(m))?
8*m**2
Let t(j) = -2*j. Let d(y) = 22591*y**2. Determine t(d(z)).
-45182*z**2
Let a(x) = -14*x. Let n(y) = -70*y - 70*y + 139*y. Let q(t) = -5*a(t) + 60*n(t). Let d(l) = -l. What is d(q(k))?
-10*k
Let u(m) = -2*m. Let o(n) = 67*n**2 + n + 104. What is u(o(t))?
-134*t**2 - 2*t - 208
Let l(m) be the third derivative of -353*m**4/24 - 144*m**2. Let o(i) = -i**2. What is o(l(r))?
-124609*r**2
Let a(f) = -132 + 4*f**2 + 0*f**2 + 264 - 131. Let b(z) = z. What is b(a(v))?
4*v**2 + 1
Let o(b) = -6*b**2 - 20*b**2 + 23*b**2 - 4*b**2 - 16*b**2. Let l(y) = 17*y**2. Calculate o(l(j)).
-6647*j**4
Let r(b) be the first derivative of -2*b**3 + 228. Let j(z) = -19*z - 2. What is r(j(c))?
-2166*c**2 - 456*c - 24
Suppose -1358 = -0*w - 3*w - 4*p, -2*w + 5*p + 867 = 0. Let q(h) = -446 + 3*h + w. Let z(g) = -9*g. Determine q(z(f)).
-27*f
Suppose 3*z - 4 - 5 = 0. Let c(w) = 1. Let y(j) = 2*j - 3. Let v(h) = z*c(h) + y(h). Let g(a) = -14*a**2. Determine g(v(l)).
-56*l**2
Let q(l) be the third derivative of -5*l**4/24 - l**2 - 102*l. Let m(b) be the second derivative of 5*b**4/12 - 4*b. Give m(q(i)).
125*i**2
Let g(j) = 4 + j**2 - 4 + 3*j**2. Let b(d) be the second derivative of 13*d**3/6 - 25*d + 1. What is b(g(m))?
52*m**2
Suppose -6*g + 2*g - 108 = -3*d, -g - 3 = 0. Suppose 6*x - 47 - 145 = 0. Let p(a) = d + 10*a - x. Let f(q) = q**2. What is p(f(k))?
10*k**2
Suppose -5*y - 40 = -5*f, -3*y + 8 = 4*f + y. Let k be 2*-1*(-3)/3. Let m(h) = f + k*h - 5. Let w(o) = 7*o**2. Calculate m(w(n)).
14*n**2
Let a(r) = 2*r. Let p(j) = -2*j. Let o(n) = -1. Let f(h) = -2*h - 11. Let c(w) = -6*f(w) + 66*o(w). Let b(d) = -2*c(d) - 10*p(d). What is b(a(q))?
-8*q
Let z(s) = s + 15970. Let l(j) = -3*j. Give z(l(m)).
-3*m + 15970
Let x(l) = -31*l**2 - 27*l**2 + 61*l**2. Let b(o) = 7*o**2. Calculate x(b(t)).
147*t**4
Let v(c) = 638*c. Let n(g) = -2*g - 7*g - 2*g + 6*g + 4*g. Calculate n(v(t)).
-638*t
Let v(w) = 2*w + 782648. Let h(f) = f. Give h(v(t)).
2*t + 782648
Let q(a) = 44*a**2. Suppose 3*w + z = 1, 0 = -2*w + 4*z - z + 8. Let c(b) = -4 - b + w + 3. Calculate c(q(k)).
-44*k**2
Let p(g) = -233*g. Let y(j) = 21*j. Give p(y(d)).
-4893*d
Let x(h) = 2*h. Let k(n) = -34*n - 11. Let z be -6 - 0/2 - -2. Let l(c) = 7*c + 2. Let q(a) = z*k(a) - 22*l(a). What is x(q(f))?
-36*f
Let g(c) = c + 3. Let k(y) = -2. Let t(p) = -2*g(p) - 3*k(p). Let u(i) = i - 8*i - 7*i. Give u(t(w)).
28*w
Let n(p) = -p**2. Let t(o) = 2*o - 2*o + 525584*o**2 - 525374*o**2. Give n(t(i)).
-44100*i**4
Let n(a) be the first derivative of -4 + 0*a + 0*a**2 + 1/3*a**3. Let b(y) = 0*y - 6*y - 3*y. Determine b(n(f)).
-9*f**2
Let c(b) = b + 3*b - 6*b + 3*b. Let x(g) be the third derivative of -g**5/20 - 2*g**3/3 + 4*g**2. Let f(d) be the first derivative of x(d). Determine c(f(j)).
-6*j
Let m = -30 - -79. Let x(c) = -48*c**2 - m*c**2 + 95*c**2. Let b(z) = 34*z**2. What is x(b(i))?
-2312*i**4
Let g(v) = 4*v**2 + 11*v - 14. Let a be g(7). Let u(o) = 5*o - 2*o - a + 259. Let k(s) = 3*s**2. Determine u(k(l)).
9*l**2
Let s(u) = -1347*u. Let c(h) = 6*h**2 + 152. What is c(s(y))?
10886454*y**2 + 152
Let b(r) = -697*r - 1 - 19*r**2 + 1 + 697*r. Let o(p) = -5*p**2. Determine o(b(q)).
-1805*q**4
Let p(s) = 6*s. Let m(c) = 12 + 4 - 5*c - 16. Let v(a) = 2*m(a) + 3*p(a). Let y(r) = -2*r**2. Give v(y(w)).
-16*w**2
Let c(r) = -423*r. Let s(x) = -1556*x**2. Determine c(s(b)).
658188*b**2
Let k(f) = -315*f**2 + 66*f. Let p(l) = 3*l. Calculate k(p(r)).
-2835*r**2 + 198*r
Let k(d) = d**2. Suppose -2*l + 3*x = -3*l + 23, 3*l - 3*x - 21 = 0. Let b = l + -9. Let q(v) = -4*v + v**b + 4*v. What is k(q(t))?
t**4
Let k(o) = 4*o**2 + 2*o. Let q(j) be the first derivative of j**3/3 + 74. What is k(q(c))?
4*c**4 + 2*c**2
Let v(x) = -3*x + 8. Let c(k) = -13*k - 16. Let o(n) = -c(n) - 2*v(n). Let b(z) be the first derivative of -z**2 - 1. Calculate o(b(l)).
-38*l
Let v(t) = -3*t. Let x(f) = 27*f + 3*f - 34*f + 32*f. What is x(v(r))?
-84*r
Let j(n) = -5*n**2. Suppose -2*x - 20 = 3*x. Let v(z) = z. Let l(b) = -b - 10 - 4 + 0*b + 14. Let k(c) = x*v(c) - l(c). Determine k(j(q)).
15*q**2
Let q(h) = 276*h**2. Let i(m) = -1779*m**2. What is q(i(x))?
873496116*x**4
Let t(o) = 5*o + 6. Let j(s) = -4*s - 2. Let z(x) = 3*j(x) + t(x). Let y(f) = 3*f. Determine z(y(n)).
-21*n
Let n = -78 + 83. Let f(g) = -4*g**2 - 5*g - 5. Let r(l) = -2*l**2 - 2*l - 2. Let p(a) = n*r(a) - 2*f(a). Let o(x) = 21*x. Calculate p(o(h)).
-882*h**2
Let b(j) = -12*j + 5. Let o(q) = 2*q**2 - 364. What is b(o(l))?
-24*l**2 + 4373
Let u(h) = 2*h**2. Let m(c) = -c**2 + c + 1. Let b(y) = -3*y**2 - 6*y - 13. Let w(t) = b(t) - 4*m(t). Let s be w(12). Let j(o) = -s + 2*o + 7. What is u(j(z))?
8*z**2
Let m(k) = -174294*k. Let l(d) = -d + 8. Calculate l(m(c)).
174294*c + 8
Let b(h) = -105*h**2. Let k(n) = -4*n + 0*n + 5*n - 3*n. Determine b(k(m)).
-420*m**2
Let g(q) = -q**2. Let b(z) = 18*z**2 + 4*z. Let f(v) = 17*v**2 + 3*v. Let r(n) = 3*b(n) - 4*f(n). What is r(g(j))?
-14*j**4
Let s(v) = -582*v**2. Let m(p) = 17*p**2. Calculate s(m(f)).
-168198*f**4
Let d(b) = -5*b**2. Let n(i) = 93*i + 35. What is d(n(y))?
-43245*y**2 - 32550*y - 6125
Let y = 12 + -10. Let s(x) = -4*x**y + 9*x**2 + 0 + 0. Let t(h) be the first derivative of -h**2/2 + 7. Calculate s(t(z)).
5*z**2
Let k(a) = -115*a**2 + a. Let t(b) = -49*b - 6. Let f(j) = -41*j - 5. Let y(p) = 6*f(p) - 5*t(p). Calculate y(k(q)).
115*q**2 - q
Let j(q) be the first derivative of -3*q**2 - q - 60. Let k(i) = -4*i. Determine j(k(s)).
24*s - 1
Let r(m) = -73*m + 17. Let s(c) = 2*c. Determine r(s(k)).
-146*k + 17
Let i(s) be the second derivative of -9*s**3/2 + 9*s**2/2 + 5*s. Let n be i(-4). Let h(z) = -n - 28*z + 117. Let w(b) = -2*b**2. Determine w(h(c)).
-1568*c**2
Let n(u) = -368*u. Let a(d) = -208*d**2. Calculate a(n(w)).
-28168192*w**2
Let l(i) = 335*i**2. Let x(a) = a**2 - 496*a. What is x(l(m))?
112225*m**4 - 166160*m**2
Let j(l) = 168*l**2 + 49*l. Let r(d) = -7*d**2 - 2*d. Let k(h) = -4*j(h) - 98*r(h). Let u(c) = -7*c. Give u(k(o)).
-98*o**2
Let f(p) = 9*p**2. Let t(u) = -3*u**2 + 316*u + 14. Determine t(f(n)).
-243*n**4 + 2844*n**2 + 14
Let c(k) be the third derivative of 0 + 0*k + 1/24*k**4 + 0*k**3 - 9*k**2. Let b(p) = -21*p. Give b(c(m)).
-21*m
Let q(u) = u**2. Let s(m) = -11*m - 26. Let c(g) = 3*g + 8. Let k(v) = 11*c(v) + 4*s(v). Give q(k(l)).
121*l**2 + 352*l + 256
Let v(x) = 7*x - 6. Let j(i) = -6*i + 5. Let y(c) = -6*j(c) - 5*v(c). Let u(w) be the second derivative of 0 - 5/6*w**3 + w + 0*w**2. Determine u(y(q)).
-5*q
Suppose -u - 31 = -2*y - 3*y, -1 = -u - 3*y. Let f = -8 - u. Let n(c) = -3*c + f*c + 5*c - 2*c. Let h(w) = -4*w**2. What is h(n(k))?
-36*k**2
Let k(p) be the second derivative of p**4/12 - 2*p + 172. Let t(v) = -1 + 1 + 21*v. What is t(k(q))?
21*q**2
Let j(z) = 2*z**2. Let v(d) = 89*d - 225*d - 127*d. Determine j(v(o)).
138338*o**2
Let q(u) = 12*u**2. Let k(r) = -11*r**2 + 2*r - 3. Let n(c) = 39*c**2 - 7*c + 8. Let i(d) = -7*k(d) - 2*n(d). Calculate q(i(o)).
12*o**4 - 120*o**2 + 300
Let a(y) = 762*y**2. Let g(u) = -2*u**2. Give a(g(m)).
3048*m**4
Let u(s) = -2*s**2. Let f(v) be the first derivative of -4*v - 1/3*v**3 + 4 + 0*v**2. Let w(o) be the first derivative of f(o). Give u(w(k)).
-8*k**2
Let z(n) = -8*n**2 + 9*n + 6. Let j(w) = -152*w**2 + 168*w + 112. Let f(l) = -6*j(l) + 112*z(l). Let p(g) = 36*g**2. What is p(f(a))?
9216*a**4
Suppose 8*o - 5*o = 18. Let j(z) = -o + 3 - z**2 - 6 + 3*z**2. Let b(f) = -2*f. What is b(j(y))?
-4*y**2 + 18
Let v(m) = -20*m. Let p(r) be the third derivative of 0*r**3 - 1/12*r**4 + 0*r - 14*r**2 + 0. Determine p(v(u)).
40*u
Let z(l) = -99*l**2. Let t(y) = 10*y - 6. Calculate z(t(x)).
-9900*x**2 + 11880*x - 3564
Let n(j) = j**2 + 8*j + 2. Let q be n(-8). Let t(h) = -q*h - 4*h + 0*h - 9*h. Let k(l) = 3 - 3 - 2*l. Determine t(k(g)).
30*g
Let x(n) = -3*n**2. Let i(b) = 11*b**2 + 2*b - 2. Let s(l) = 22*l**2 + 4*l - 5. Let y(r) = 5*i(r) - 2*s(r). Calculate y(x(m)).
99*m**4 - 6*m**2
Let u(y) = -2*y**2. Let c(n) = -942*n**2 + 1229*n**2 + 0 + 0. What is c(u(h))?
1148*h**4
Let i(n) = -2*n**2 + 5*n**2 - 3*n**2 + 3*n**2. Let q(h) = 10*h**2 + 3. Determine i(q(p)).
300*p**4 + 180*p**2 + 27
Let g(q) = 230*q. Let p(s) = -891*s. Give p(g(i)).
-204930*i
Let u(t) = -5*t**2 + 35. Let d(a) = 1. | {
"pile_set_name": "DM Mathematics"
} |
tive of 0*p**3 - 1/12*p**4 + 0*p**5 + 0*p**6 + 0 + 1/105*p**7 + 0*p + p**2. Find the second derivative of m(n) wrt n.
24*n**2
Let j be (4 + -3)/((-3)/(-9)). What is the third derivative of -2*n**j + 5*n**2 - n**2 + n**2 + 0*n**3 wrt n?
-12
Let s(p) be the second derivative of p**7/840 - p**5/30 - p**3 + 7*p. Let j(v) be the second derivative of s(v). What is the second derivative of j(b) wrt b?
6*b
Suppose 5*v - 4*s = 4*v - 11, -5*v - 3*s + 14 = 0. Suppose -2*z + 5 - v = 0. Find the first derivative of -5*n**2 + n**2 + z + 3*n**2 wrt n.
-2*n
Let l(k) = k - 1. Let m(s) be the second derivative of 2*s**3/3 - 3*s**2/2 + 2*s. Let f(n) = l(n) - m(n). Differentiate f(u) with respect to u.
-3
Let n(z) = 55*z**3 + 50*z**2 - 7*z. Let a(j) = 27*j**3 + 25*j**2 - 3*j. Let w(h) = -7*a(h) + 3*n(h). Find the third derivative of w(l) wrt l.
-144
Let o(f) be the first derivative of 28*f**3/3 - 13*f**2 - 18. What is the second derivative of o(i) wrt i?
56
Let g be 2/(-8) - (-33)/4. Suppose 2*a - 4*a = -g. What is the first derivative of 5 - 4 + o**3 - a*o**3 wrt o?
-9*o**2
Let r be -2 + 11 - (-2)/2. Let m = r + -6. Find the first derivative of 2 - m*b**4 + 2*b**4 + 0*b**4 wrt b.
-8*b**3
Let c(y) be the second derivative of 13*y**5/5 - y**2/2 + 40*y. Differentiate c(f) wrt f.
156*f**2
What is the third derivative of 16*v**6 + 10*v**2 + 1 + v**5 - 18*v**6 + v**5 wrt v?
-240*v**3 + 120*v**2
Let b = 19 - 14. Differentiate -3 - b*f - 2 - 2 + 4 wrt f.
-5
What is the third derivative of 9*w**3 + 8*w - 8*w - 2*w**2 wrt w?
54
Let n = -36 + 38. Let z be (6/(-4))/((-3)/16). Find the second derivative of -n*x + z*x + 4*x**2 - 5*x wrt x.
8
Suppose 5*o - 101 = 44. Suppose t - 3*t - 4 = 3*p, -5*t - o = -2*p. What is the second derivative of -p*i**3 + 0*i**3 + 5*i**3 + 2*i wrt i?
18*i
Let i(p) be the second derivative of p**9/1680 - 7*p**6/720 + 7*p**4/12 + p. Let f(o) be the third derivative of i(o). Find the second derivative of f(d) wrt d.
108*d**2
Let k(h) = -3*h - 1. Let t(m) = m. Let s = -6 - -9. Suppose 0 = s*g - 16 + 4. Let q(b) = g*t(b) + k(b). What is the first derivative of q(o) wrt o?
1
Let k = -25 - -20. Let i(d) = -5*d - 4. Let f be (2 - 4)*1/(-1). Let r(m) = -11*m - 9. Let l(s) = f*r(s) + k*i(s). What is the derivative of l(n) wrt n?
3
Let p(s) = 3*s**3 - 2*s + 1. Let v(x) = -x + 1. Let a(o) = p(o) - 2*v(o). Find the first derivative of a(l) wrt l.
9*l**2
Let o(s) be the second derivative of 0*s**2 - 1/6*s**3 + 0*s**4 + 0 + 0*s**5 - 1/6*s**6 + s. What is the second derivative of o(d) wrt d?
-60*d**2
Let i(k) be the first derivative of 5/2*k**2 - k**3 + 0*k + 2. What is the second derivative of i(l) wrt l?
-6
Let g be 8/5 + 8/20. What is the third derivative of q - g*q**4 - q - 3*q**2 + 6*q**4 wrt q?
96*q
Let u(k) be the first derivative of 29*k**7/7 - 8*k**3 + 8. What is the third derivative of u(g) wrt g?
3480*g**3
Let f = -18 + 25. Let h = 10 - f. What is the second derivative of 0*k + h*k**2 - 2*k + 4*k wrt k?
6
Let n(v) be the first derivative of v**5 + 13*v**3/3 - 17. Find the third derivative of n(k) wrt k.
120*k
Let k(h) = -105*h + 92. Let b(f) = -53*f + 46. Let q(s) = -5*b(s) + 2*k(s). What is the first derivative of q(w) wrt w?
55
Let u = 14 + -7. Find the third derivative of -3 + 3 + 2*c**2 + u*c**3 + 0*c**2 wrt c.
42
Let o(d) be the second derivative of d**7/1260 + d**5/15 - 7*d**4/12 - 8*d. Let i(q) be the third derivative of o(q). What is the derivative of i(j) wrt j?
4*j
Find the third derivative of -3*k**4 + 10*k**4 - 11*k**2 - 5*k**4 - 12*k**4 wrt k.
-240*k
Let n(p) be the first derivative of -1/4*p**4 + 0*p**3 + 0*p**2 + 4 + 3*p. Find the first derivative of n(d) wrt d.
-3*d**2
Let j(u) = -4*u**4 + 4*u**2 - 12*u + 55. Let q(k) = 5*k**4 - 6*k**2 + 12*k - 55. Let c(l) = 3*j(l) + 2*q(l). Differentiate c(a) wrt a.
-8*a**3 - 12
Let p(n) be the second derivative of 0*n**5 + 0*n**2 + 0*n**3 + 0 + 1/10*n**6 + 5/12*n**4 - 3*n. What is the third derivative of p(j) wrt j?
72*j
Let o(z) = 5*z**3 + 4*z**2 - 4*z - 2. Let h(g) = -6*g**3 - 3*g**2 + 3*g + 2. Let b(c) = -4*h(c) - 3*o(c). Find the first derivative of b(w) wrt w.
27*w**2
Let n(l) be the second derivative of 3*l**3/2 + 7*l**2/2 + 2*l. What is the derivative of n(s) wrt s?
9
Let b(a) be the third derivative of 11*a**7/210 + a**3/2 + 27*a**2. What is the derivative of b(f) wrt f?
44*f**3
Let c = 10 + -7. Suppose c*u = 5 + 1. What is the second derivative of 5*g**5 - u*g**5 - 2*g**5 + 0*g - 4*g wrt g?
20*g**3
Suppose 3*q - 54 = 2*j, 5*q = -4*j + 3*j + 90. What is the third derivative of -18*a**3 - 3*a**4 + q*a**3 - 3*a**2 wrt a?
-72*a
Let n(p) be the third derivative of -2*p**2 + 0*p - 2/3*p**3 + 0*p**6 + 0 + 0*p**4 - 2/105*p**7 + 0*p**5. Differentiate n(o) with respect to o.
-16*o**3
Suppose v + d = -4*d - 10, 0 = -4*v - 5*d + 5. What is the second derivative of 0*w**5 + v*w - 2*w**5 + w**5 wrt w?
-20*w**3
Let f(l) = -l**2 + 6*l - 1. Let w be f(5). Suppose -7*y + 16 = -2*y + 3*m, -w = 3*y - 5*m. Find the second derivative of -2 + 2 + 0*v**4 + v**4 - y*v wrt v.
12*v**2
Let o(f) be the first derivative of -f**8/112 + f**4/6 - f**2/2 - 4. Let x(w) be the second derivative of o(w). Find the second derivative of x(z) wrt z.
-60*z**3
Let k(j) be the second derivative of 17*j**8/28 + 5*j**4/4 - 34*j. Find the third derivative of k(r) wrt r.
4080*r**3
Find the second derivative of -34*a**4 + 4*a - 7*a - 7*a**4 wrt a.
-492*a**2
Let f be (-15)/5 - 1*-7. Find the second derivative of 5*w + 3*w**5 - 91*w**f + 91*w**4 wrt w.
60*w**3
Let x(h) be the first derivative of -4*h**6 - 11*h**2 + 31. Find the second derivative of x(s) wrt s.
-480*s**3
Suppose 7 = -s - y + 29, -2*s = -5*y - 16. Suppose 0 = -2*d - 0*d + 4, -d = -5*z + s. Find the second derivative of -p**4 - z + 4 + p wrt p.
-12*p**2
Suppose 3*h - 23 = -5*w, 4*h + 2*w - 11 = 15. Find the third derivative of 0*p**6 + p**2 + 5*p**6 - 2*p**h - 11*p**2 wrt p.
360*p**3
Let n(d) be the first derivative of 4*d**4 - 26*d - 20. Differentiate n(m) wrt m.
48*m**2
Let y(a) be the first derivative of -16*a**3/3 + 2*a + 22. What is the first derivative of y(o) wrt o?
-32*o
Let u be 1/(1/(9/3)). Let v = u + 0. Find the first derivative of 1 + 3 - 1 + v*y**3 wrt y.
9*y**2
Let a(g) = -8*g**3 + 5*g**2 - 5. Let n(o) = o**3 + 1. Let m(p) = -a(p) - 5*n(p). Find the third derivative of m(c) wrt c.
18
Suppose -2*f - 17 = -3. Let n = f - -17. Find the second derivative of -2*b - n*b**2 + 2*b**4 + 10*b**2 wrt b.
24*b**2
Let l be (-7)/(1 + 0/(-2)). Let d = l - -9. Differentiate 2*u + 5*u**d - 2 - 3*u + u with respect to u.
10*u
Let c(j) = -3*j**2. Let u(n) = -n**3 - 3*n**2. Let g = 2 - 5. Let k(z) = g*u(z) + 4*c(z). Find the third derivative of k(y) wrt y.
18
Let g(s) be the third derivative of s**7/70 + 5*s**3/6 - 11*s**2. Differentiate g(u) wrt u.
12*u**3
Let h(n) = n. Let a(x) = -10*x**2 + 16*x. Let u(i) = a(i) - 4*h(i). What is the second derivative of u(c) wrt c?
-20
What is the second derivative of -2*m - m**5 + 5*m + 3*m wrt m?
-20*m**3
Suppose 6*a - 12 = 2*a. What is the second derivative of -3*h**5 - a*h - 13*h**3 + 13*h**3 wrt h?
-60*h**3
Find the first derivative of 1 - 89*p - 73*p + 143*p wrt p.
-19
Let z(v) = 3*v - 13. Let m be z(6). What is the third derivative of -6*f**2 + m*f - f + 3*f**5 - 4*f wrt f?
180*f**2
Let x(o) be the third derivative of -7*o**6/120 - 23*o**4/24 - 3*o**2. Find the second derivative of x(r) wrt r.
-42*r
Let g(w) = -36*w**4 + 3*w**2 - 39*w - 3. Let u(r) = -72*r**4 + 7*r**2 - 78*r - 7. Let d(f) = 7*g(f) - 3*u(f). Find the second derivative of d(j) wrt j.
-432*j**2
Differentiate -5*g**3 + 2*g**3 + 6 - g**3 - 4*g**3 wrt g.
-24*g**2
Let i(w) be the second derivative of 0*w**2 + 1/15*w**6 + 0*w**3 - 2*w - 1/12*w**4 + 0*w**5 + 0. Find the third derivative of i(t) wrt t.
48*t
Find the third derivative of 8*k**2 + 21*k**6 - 9*k**2 - 37*k + 45*k**6 - 13*k**6 wrt k.
6360*k**3
Suppose -4*a - 3 + 23 = 0. Find the second derivative of -2*z**a - 2*z + 3*z + 5*z**5 wrt z.
60*z**3
Find the second derivative of -43*n**2 + 4 + 2 - 5*n - 27*n**3 + 18*n**2 + 24*n**2 wrt n.
-162*n - 2
Let i(w) be the third derivative of 11*w**7/210 + w**5/12 - 4*w**2. Let q(r) = r**4 + r**2. Let a(z) = i(z) - q(z). What is the third derivative of a(x) wrt x?
240*x
Find the seco | {
"pile_set_name": "DM Mathematics"
} |
e remainder when 9128500 is divided by 1624?
1620
What is the remainder when 27695246 is divided by 16?
14
What is the remainder when 10681062 is divided by 322?
0
Calculate the remainder when 411744747 is divided by 3.
0
Calculate the remainder when 55938088 is divided by 4821.
25
Calculate the remainder when 59759679 is divided by 179.
171
Calculate the remainder when 264427 is divided by 2792.
1979
Calculate the remainder when 170977 is divided by 7413.
478
What is the remainder when 960782859 is divided by 184?
179
Calculate the remainder when 35833 is divided by 8903.
221
What is the remainder when 23199360 is divided by 278?
260
What is the remainder when 1481416 is divided by 51082?
38
What is the remainder when 1967529009 is divided by 87?
84
What is the remainder when 244158 is divided by 2753?
1894
What is the remainder when 469279 is divided by 1638?
811
Calculate the remainder when 1399402 is divided by 596.
590
What is the remainder when 13383 is divided by 6598?
187
Calculate the remainder when 47272277 is divided by 2994.
11
What is the remainder when 4019284 is divided by 1339314?
1342
Calculate the remainder when 61355 is divided by 64.
43
What is the remainder when 5919578 is divided by 1973188?
14
What is the remainder when 248774 is divided by 1658?
74
Calculate the remainder when 28643 is divided by 598.
537
What is the remainder when 126479 is divided by 12192?
4559
What is the remainder when 1219897949 is divided by 25?
24
What is the remainder when 3150916 is divided by 1050156?
448
What is the remainder when 3211207 is divided by 305?
167
What is the remainder when 3524169 is divided by 880988?
217
What is the remainder when 693342 is divided by 831?
288
What is the remainder when 261889 is divided by 52299?
394
Calculate the remainder when 20407972 is divided by 5287.
152
Calculate the remainder when 226748 is divided by 203.
200
Calculate the remainder when 8894606 is divided by 30.
26
What is the remainder when 215718284 is divided by 931?
929
Calculate the remainder when 786039 is divided by 261993.
60
What is the remainder when 3811726 is divided by 569?
564
Calculate the remainder when 495747 is divided by 70819.
14
What is the remainder when 136804 is divided by 8846?
4114
Calculate the remainder when 21803969 is divided by 77871.
89
What is the remainder when 1332283 is divided by 148002?
265
Calculate the remainder when 286655268 is divided by 8648.
12
What is the remainder when 3925692 is divided by 17?
1
What is the remainder when 25227 is divided by 2716?
783
What is the remainder when 746549 is divided by 3188?
557
What is the remainder when 103921 is divided by 17306?
85
Calculate the remainder when 19649703 is divided by 1706.
1701
Calculate the remainder when 1515988 is divided by 9132.
76
What is the remainder when 142220 is divided by 553?
99
What is the remainder when 75522253 is divided by 2288553?
4
What is the remainder when 937866 is divided by 1238?
700
What is the remainder when 171733 is divided by 34346?
3
Calculate the remainder when 3261288 is divided by 2308.
84
What is the remainder when 15339243 is divided by 62?
9
Calculate the remainder when 774988 is divided by 22793.
26
Calculate the remainder when 4154967 is divided by 207743.
107
Calculate the remainder when 112910 is divided by 588.
14
What is the remainder when 39259752 is divided by 205?
202
Calculate the remainder when 118031 is divided by 169.
69
What is the remainder when 13866456 is divided by 1234?
1232
Calculate the remainder when 524181697 is divided by 350.
347
Calculate the remainder when 5532589 is divided by 306.
109
What is the remainder when 63919604 is divided by 213?
8
Calculate the remainder when 134436 is divided by 637.
29
Calculate the remainder when 3783443 is divided by 168.
83
Calculate the remainder when 104104 is divided by 329.
140
What is the remainder when 253299 is divided by 190?
29
Calculate the remainder when 287620 is divided by 143347.
926
What is the remainder when 256287 is divided by 21355?
27
Calculate the remainder when 334323 is divided by 6161.
1629
Calculate the remainder when 4406154 is divided by 188.
186
Calculate the remainder when 245213 is divided by 81575.
488
Calculate the remainder when 54808 is divided by 13633.
276
Calculate the remainder when 554005 is divided by 1513.
247
Calculate the remainder when 17587957 is divided by 2931324.
13
What is the remainder when 288577 is divided by 7248?
5905
What is the remainder when 31733 is divided by 5733?
3068
Calculate the remainder when 393580 is divided by 177.
109
Calculate the remainder when 2074652 is divided by 9879.
62
What is the remainder when 4397458 is divided by 11572?
98
What is the remainder when 309920 is divided by 3775?
370
Calculate the remainder when 3730649 is divided by 2850.
2849
What is the remainder when 157487930 is divided by 213?
203
Calculate the remainder when 575568 is divided by 261.
63
Calculate the remainder when 9109970 is divided by 616.
562
Calculate the remainder when 18238515 is divided by 23.
21
Calculate the remainder when 2282508 is divided by 2099.
895
What is the remainder when 345451 is divided by 53?
50
What is the remainder when 36491 is divided by 18184?
123
Calculate the remainder when 118097 is divided by 327.
50
What is the remainder when 13268079 is divided by 83447?
6
Calculate the remainder when 1594462 is divided by 919.
916
What is the remainder when 499046 is divided by 3117?
326
What is the remainder when 294764 is divided by 1388?
508
Calculate the remainder when 4684599 is divided by 2342179.
241
What is the remainder when 188073 is divided by 3898?
969
Calculate the remainder when 12115918 is divided by 195418.
2
Calculate the remainder when 791775 is divided by 2802.
1611
Calculate the remainder when 2087455 is divided by 113.
6
What is the remainder when 119979 is divided by 84?
27
What is the remainder when 108071 is divided by 17110?
5411
What is the remainder when 41771924 is divided by 203?
5
Calculate the remainder when 5237831 is divided by 36.
11
Calculate the remainder when 4317439 is divided by 25.
14
What is the remainder when 4474990 is divided by 1746?
1738
Calculate the remainder when 908395 is divided by 600.
595
Calculate the remainder when 11850 is divided by 1914.
366
What is the remainder when 435682 is divided by 435584?
98
What is the remainder when 368546832 is divided by 3183?
3177
Calculate the remainder when 75067976 is divided by 394.
338
What is the remainder when 29474 is divided by 551?
271
What is the remainder when 191126 is divided by 180652?
10474
Calculate the remainder when 100839 is divided by 49462.
1915
What is the remainder when 870598 is divided by 189?
64
Calculate the remainder when 2144644 is divided by 436.
396
Calculate the remainder when 10572 is divided by 21.
9
What is the remainder when 11938 is divided by 384?
34
What is the remainder when 20087081 is divided by 62?
11
What is the remainder when 1534028 is divided by 383496?
44
What is the remainder when 365929 is divided by 658?
81
Calculate the remainder when 11139360 is divided by 238.
8
Calculate the remainder when 275848 is divided by 967.
253
What is the remainder when 74881 is divided by 37045?
791
What is the remainder when 582762 is divided by 44826?
24
What is the remainder when 10098769 is divided by 4624?
4577
What is the remainder when 216847690 is divided by 15?
10
Calculate the remainder when 2663722 is divided by 229.
223
Calculate the remainder when 634031893 is divided by 8.
5
Calculate the remainder when 14653989 is divided by 377.
376
Calculate the remainder when 5008901 is divided by 1001775.
26
Calculate the remainder when 1931633 is divided by 1228.
1217
What is the remainder when 715347 is divided by 20438?
17
Calculate the remainder when 305316 is divided by 4846.
18
Calculate the remainder when 164504 is divided by 17248.
9272
What is the remainder when 5878185 is divided by 534379?
16
Calculate the remainder when 58789273 is divided by 483.
445
Calculate the remainder when 26348384 is divided by 42090.
44
Calculate the remainder when 151853 is divided by 3347.
1238
What is the remainder when 74594 is divided by 3534?
380
Calculate the remainder | {
"pile_set_name": "DM Mathematics"
} |
when t is divided by i?
9
What is the remainder when 249 is divided by 358/716*(147 + 1 + 2)?
24
Let d(x) = -6*x - 64. Let r be d(-11). Suppose -2*k = -8 - r, 3*k + 146 = m. Calculate the remainder when m is divided by 40.
1
Let m = -9906 - -10036. What is the remainder when 2341 is divided by m?
1
Suppose -10 = 10*g, -117*t - 2*g = -119*t + 132. What is the remainder when 395 is divided by t?
5
Suppose -k = i - 0 - 13 - 3, -7*i = 0. What is the remainder when 4907 is divided by k?
11
Let o(u) = -u**3 + 30*u**2 - 19*u - 65. Let q be o(29). Suppose 0 = 11*f - 17 - q. Suppose -2*y - 3 = -27. What is the remainder when f is divided by y?
10
Let p(w) = w**3 - 11*w**2 + 20*w + 2. Let q be p(9). Let k(u) = 11*u - 2. Calculate the remainder when (-1 - -3) + 548*5/q is divided by k(2).
19
Suppose 73199*c + 132 = 73203*c. What is the remainder when 256 is divided by c?
25
Suppose 23*k + 52*k - 393 - 57 = 0. What is the remainder when 2836 is divided by k?
4
Suppose -3*i = s + 3, 4*s - 2*i - i = 33. Let y be (33 - 35)*6*(-14)/8. Suppose -6*l - y = -105. What is the remainder when l is divided by s?
2
Suppose f = p - 2549, 0 = 160*p - 161*p - 4*f + 2574. Calculate the remainder when p is divided by 318.
10
Let k = 13494 + -13256. What is the remainder when k is divided by 64?
46
Suppose -4*r + 0*s + 46 = -2*s, -r + 22 = -4*s. Let p be (16/(-4))/(5/(r/4)). What is the remainder when 154*(-4)/(-16) + (-3)/p is divided by 6?
4
Let j = 3 + -9. Let i = j - -8. Suppose -88 = -5*o + 4*c, -4*o - i*c + 71 = -5*c. What is the remainder when 77 is divided by o?
17
Suppose -3*n = 4*b - 0*n + 26, -5*b - 5*n - 30 = 0. Let r be 358/b - 2/8. What is the remainder when (r/(-2))/((-6)/(-24)) is divided by 46?
44
Let w = 77879 + -77834. Suppose 2*t - y - 343 = 0, 4*t + 2*y - 3*y = 683. What is the remainder when t is divided by w?
35
Let v(r) = 2*r**3 + 4*r**2 + 5*r. Suppose -99 = -5*m - 3*c, m + m - 39 = -c. Calculate the remainder when v(3) is divided by m.
15
Suppose 405 = 3*r - 957. Suppose 50*w - 51*w = -r. Calculate the remainder when w is divided by 35.
34
Suppose 0 = 3*k - 43 - 26. Let w(b) = -b**2 + 16*b - 16. Let h be w(-8). Let p = -196 - h. What is the remainder when k is divided by p?
11
Suppose -3*h = -0*y - 5*y + 68, h = y - 22. Suppose 23 + 87 = 5*w. Calculate the remainder when w is divided by 14/(-1)*18/h.
10
Let v(d) = -25*d - 20. Let f(z) = 8*z + 7. Let l(r) = -17*f(r) - 6*v(r). Let n be l(-2). Let u = n + 52. Calculate the remainder when 74 is divided by u.
24
Suppose 9 = -p - 67. Let c = 124 + p. Suppose -4*v + 5*j = -96 + 38, -5*j + 10 = 0. Calculate the remainder when c is divided by v.
14
Let o be ((-91)/21 + 5)*-18. Calculate the remainder when 114 is divided by o/14 - 1368/(-28).
18
Suppose -47*p + 43*p + 3*l + 154 = 0, p = -3*l + 16. Calculate the remainder when 101 is divided by p.
33
What is the remainder when 4405 is divided by (-24)/(-21) + (-23316)/(-203)?
113
Suppose 3*c - 30*c + 280 + 3446 = 0. Calculate the remainder when c is divided by 119.
19
Suppose -180*b + 10348 = -9544 + 5672. What is the remainder when 173 is divided by b?
15
Suppose -i - 2*b = 2*b - 193, 0 = -5*i + 5*b + 915. Suppose -16*q - q = 1853. Let d = i + q. What is the remainder when d is divided by 8?
4
Let g = -121 + 98. Let z = g + 40. Calculate the remainder when 63 is divided by z.
12
Suppose 39*t - 37*t = -286. Let o = -61 - t. Calculate the remainder when o is divided by 22.
16
Let i be (-2)/3 + 28/6. Suppose 4*o + 4*h = 108, -5*o - i*h + 5*h = -129. What is the remainder when ((-1717)/(-68))/(27/12 + -2) is divided by o?
23
Suppose 0 = 41*u - 684 - 300. Let m(h) = 2*h**2 - 2*h - 19. Calculate the remainder when m(-7) is divided by u.
21
Let z = -8934 + 14525. What is the remainder when z is divided by 119?
117
What is the remainder when (-7384)/6*12*8/(-64) is divided by 11?
9
Let q = 74 + -37. Let o = 20 - 4. Suppose o*a - 71 = 9. Calculate the remainder when q is divided by a.
2
Suppose 2215 = 43*c - 3762. What is the remainder when 684 is divided by c?
128
Let m(z) = 2*z**3 + z + 8. Suppose 3*j - 11 = -4*r + 15, 20 = 2*j + 2*r. Let c be (-4)/j - 8/(-28). Calculate the remainder when 29 is divided by m(c).
5
Let b(l) be the first derivative of -3*l**4/4 - l**3 + 13*l**2/2 - 10*l + 118. What is the remainder when b(-6) is divided by 19?
15
Let l(v) = 13*v**3 + 98*v**2 - 59*v - 9. Calculate the remainder when 976 is divided by l(-8).
28
Let g(b) = -9*b - 9. Let l be g(-21). Let q = l + -170. Calculate the remainder when 157 is divided by q.
7
Let f = -94 + 98. Suppose 0 = 2*q + 4*o - 7*o - 48, 0 = f*o + 8. Let i = 35 - q. What is the remainder when 82 is divided by i?
12
Suppose b - 151 + 41 = -3*w, -8 = 4*w. Let n = -27 - -40. Calculate the remainder when b is divided by n.
12
Let q = 494 + -481. Suppose -14*n + q*n + 20 = 0. Calculate the remainder when n is divided by 20.
0
What is the remainder when (-168)/(-147) + -7 + (-752880)/(-35) is divided by 19?
16
Suppose -5*r = 7*r - 7440 + 2856. Calculate the remainder when r is divided by 64.
62
What is the remainder when ((-160322)/(-24) - -7) + -2 + (-230)/(-120) is divided by 14?
9
Suppose -5*l - 3*y = -l - 42, -5*y + 10 = 0. Calculate the remainder when 476 is divided by l.
8
Suppose p = 4*a - 272, -2*p - 2*p - 5*a - 1067 = 0. Let h = p + 367. What is the remainder when h is divided by 25?
24
Suppose 43*i + 600278 = 234*i - 16461. What is the remainder when i is divided by 17?
16
Suppose -2*y + 44 = 2*b + y, b - 3*y - 13 = 0. Suppose -h + 75 = -37. What is the remainder when h is divided by b?
17
Let c = -12863 + 12910. Calculate the remainder when 120 is divided by c.
26
Suppose 1062 = 25*p - 138. Calculate the remainder when 299 is divided by p.
11
Suppose f = -j + 9, -2*j = 2*f - j - 21. Suppose 0 = -15*o + f*o + 54. Suppose 19 = 10*x - 91. What is the remainder when o is divided by x?
7
Let g(k) = 34*k**3 + 3*k**2 - 2*k + 1. Let l be g(1). Let d = l + -28. Suppose 0 = h - 3*h + d. Calculate the remainder when 22 is divided by h.
2
Let i(w) = -4*w**2 + 7*w - 70. Let n be i(-14). What is the remainder when (-15)/3 + n/(-4) is divided by 61?
50
Suppose 0*m + 4*m - 24 = 0. Suppose -4540 = -m*u - 1498. Suppose -2*x + u = 3*n - 0*x, 5*x = -n + 182. Calculate the remainder when n is divided by 24.
23
Suppose 0 = -254*k + 466*k - 232*k + 47840. Calculate the remainder when k is divided by 170.
12
Calculate the remainder when (-13 - 630/(-50)) + (-224)/(-10) is divided by 4.
2
Let d be (-3)/(6/(-10)) - 275/55. Suppose d = -4*i + 5*m + 509, 0 = -2*i + 7*i - 2*m - 632. Calculate the remainder when i is divided by 16.
14
Let w = -349 - -352. Let o(l) = l**3 - 6*l**2 - 11*l - 2. Let r be o(8). Suppose 5*p - r = 47. What is the remainder when p is divided by w?
2
Let u(w) = w**2 + 4*w - 234. Let r be u(0). Calculate the remainder when 12 - r - (1 + -4) is divided by 10.
9
Suppose -2*g = -u - 13, -4*g - 242*u = -237*u - 47. Let v(a) = -3*a**3 - 5*a**2 - 2*a + 1. What is the remainder when v(-5) is divided by g?
5
Let b be -10 - ((-6)/(-18))/((-2)/12). Calculate the remainder when (4/b)/((-1)/(-158)*-1) is divided by 9.
7
Let q = -374 + 194. Let t = q - -192. What is the remainder when 53 is divided by t?
5
Let b(k) = k**3 - 2 + 11 - 4*k + 1 - 2*k**2. Calculate the remainder when 15 is divided by b(0).
5
What is the remainder when 501 is divided by 704/40*(-1)/((-36)/495)?
17
Let g = 52 + -48. Suppose -g*q - v + 104 = v, v - 106 = -4*q. Calculate the remainder when q is divided by 19.
8
Suppose -1 = 5*o + 19, 5*o + 1820 = -5*b. Calculate the remainder when ((-216)/b)/(2*(-2)/(-240)) is divided by 21.
15
Suppose -4*x - 2*y + 1193 + 641 = 0, -2*x + y + 923 = 0. Let g(p) = -21*p - 2. What is the remainder when x/(-6)*(-21)/14 is divided by g(-2)?
35
Let x(a) = 3*a + 4*a - 4*a**2 - 2 + 3*a**2. Let n be x(6). Suppose -451 = -n*z + z + 2*r, 15 = -3*r. What is the remainder when z is divided by 37?
36
Calculate the remainder when -4*(-35)/(-20) - (-345 - 2) is divided by 92.
64
Let z = 5 - 50. Let c be (-1470)/z - 4/(-3). Suppose -5*n + 85 = -3*w, n = -n - 3*w + c. Calculate the remainder when 99 is divided by n.
14
Let b = 8822 - 8621. What is the remainder when 2207 is divided by b?
197
Let l = 140 - 129. Suppose -2*m + | {
"pile_set_name": "DM Mathematics"
} |
709, 478937
List the prime factors of 38414692.
2, 23, 71, 5881
List the prime factors of 682202421.
3, 75800269
List the prime factors of 2065700209.
17, 121511777
What are the prime factors of 92564573?
47, 1969459
List the prime factors of 10637998.
2, 7, 73, 1487
List the prime factors of 1094876852.
2, 2693, 101641
List the prime factors of 5367824.
2, 7, 11, 4357
List the prime factors of 69959044.
2, 1453, 12037
List the prime factors of 2682273823.
23, 43, 277, 9791
What are the prime factors of 355435207?
355435207
List the prime factors of 708172392.
2, 3, 23, 1019, 1259
List the prime factors of 58222266.
2, 3, 9703711
What are the prime factors of 19601308?
2, 53, 92459
List the prime factors of 24896977.
7, 3556711
What are the prime factors of 40943134?
2, 1399, 14633
List the prime factors of 33372176.
2, 433, 4817
What are the prime factors of 736733335?
5, 13, 17, 666727
What are the prime factors of 60115264?
2, 11, 17, 5023
List the prime factors of 227679513.
3, 4111, 18461
List the prime factors of 18151293.
3, 6050431
What are the prime factors of 700220345?
5, 11, 41, 28229
What are the prime factors of 150924262?
2, 7591, 9941
List the prime factors of 5092993360.
2, 5, 7, 13, 139, 719
List the prime factors of 92635082.
2, 311, 148931
List the prime factors of 22486904.
2, 11, 31, 8243
List the prime factors of 25287705.
3, 5, 113, 4973
What are the prime factors of 217170951?
3, 2957, 24481
List the prime factors of 236708484.
2, 3, 4243, 4649
What are the prime factors of 3029873135?
5, 151, 157, 25561
List the prime factors of 878228319.
3, 2399, 122027
List the prime factors of 156757062.
2, 3, 7, 11, 311, 1091
What are the prime factors of 538880143?
538880143
What are the prime factors of 241682298?
2, 3, 11, 13, 23, 37, 331
List the prime factors of 39244572.
2, 3, 1090127
What are the prime factors of 95598209?
7, 13656887
List the prime factors of 36879667.
11, 719, 4663
What are the prime factors of 325367710?
2, 5, 293, 379
List the prime factors of 20248402.
2, 193, 52457
List the prime factors of 175143789.
3, 29, 74561
What are the prime factors of 57821197?
7, 43, 192097
List the prime factors of 107240415.
3, 5, 7149361
List the prime factors of 428049101.
428049101
What are the prime factors of 42017816?
2, 19, 491, 563
What are the prime factors of 182778886?
2, 587, 155689
What are the prime factors of 1086970753?
11, 19, 1319, 3943
What are the prime factors of 239067174?
2, 3, 59, 61, 11071
What are the prime factors of 157396817?
19, 881, 9403
What are the prime factors of 1182987223?
11, 107544293
List the prime factors of 967516918.
2, 109, 4438151
What are the prime factors of 2348639215?
5, 13, 139, 259949
What are the prime factors of 135463047?
3, 45154349
What are the prime factors of 117212338?
2, 71, 825439
List the prime factors of 2296240138.
2, 1543, 744083
What are the prime factors of 728854933?
137, 971, 5479
List the prime factors of 1466977375.
5, 23, 510253
What are the prime factors of 2129297719?
17, 19, 37, 178169
List the prime factors of 32421281.
32421281
What are the prime factors of 36999477?
3, 67, 113, 181
List the prime factors of 1918956868.
2, 281, 1707257
List the prime factors of 293390548.
2, 11, 43, 155069
List the prime factors of 91870545.
3, 5, 13, 41, 11491
What are the prime factors of 132340289?
113, 499, 2347
What are the prime factors of 453887147?
7, 9263003
What are the prime factors of 1107485675?
5, 47, 942541
What are the prime factors of 93304924?
2, 23326231
What are the prime factors of 749853676?
2, 11, 13, 7757
What are the prime factors of 5701275?
3, 5, 25339
What are the prime factors of 45686053?
7, 53, 123143
What are the prime factors of 151480460?
2, 5, 7574023
What are the prime factors of 137162667?
3, 127, 360007
What are the prime factors of 18786886?
2, 313, 30011
List the prime factors of 76150677.
3, 23, 1103633
List the prime factors of 93183031.
93183031
List the prime factors of 3883870020.
2, 3, 5, 37, 1749491
List the prime factors of 1281714259.
7, 183102037
What are the prime factors of 140576609?
140576609
What are the prime factors of 2038175685?
3, 5, 7, 13, 53, 9391
What are the prime factors of 504449642?
2, 8419, 29959
What are the prime factors of 2611833922?
2, 37, 35295053
List the prime factors of 81856689.
3, 27285563
What are the prime factors of 658167654?
2, 3, 109694609
List the prime factors of 30642626.
2, 7, 73, 29983
List the prime factors of 1497699336.
2, 3, 7, 8914877
What are the prime factors of 62930486?
2, 31465243
List the prime factors of 3570766845.
3, 5, 827, 287849
List the prime factors of 238969183.
89, 1511, 1777
List the prime factors of 91152839.
4483, 20333
What are the prime factors of 2096509513?
7, 17, 71, 248137
What are the prime factors of 23989938?
2, 3, 7, 179, 3191
What are the prime factors of 72010096?
2, 17, 264743
List the prime factors of 650514306.
2, 3, 13, 631, 13217
What are the prime factors of 1703255727?
3, 239, 541, 4391
List the prime factors of 223111646.
2, 541, 206203
What are the prime factors of 74238274?
2, 11, 3374467
What are the prime factors of 62816991?
3, 20938997
What are the prime factors of 36231035?
5, 7246207
List the prime factors of 7357063695.
3, 5, 1571, 312203
List the prime factors of 2354057407.
13, 149, 1215311
List the prime factors of 34729106.
2, 163, 106531
What are the prime factors of 82368947?
991, 83117
What are the prime factors of 528868813?
11, 48078983
What are the prime factors of 551363501?
13, 43, 986339
List the prime factors of 72539051.
13, 17, 383, 857
List the prime factors of 2890084863.
3, 963361621
List the prime factors of 188301911.
7, 17, 271, 5839
What are the prime factors of 50251153?
50251153
What are the prime factors of 1766969547?
3, 7, 2297, 5233
List the prime factors of 2911274271.
3, 107824973
List the prime factors of 4474021822.
2, 647, 3457513
What are the prime factors of 365525510?
2, 5, 7, 5221793
List the prime factors of 13297664.
2, 43, 151
List the prime factors of 6807119.
11, 137, 4517
What are the prime factors of 28904590?
2, 5, 11, 13, 17, 29, 41
List the prime factors of 51755196.
2, 3, 251, 17183
List the prime factors of 1126673079.
3, 7, 17, 101, 31247
What are the prime factors of 310465137?
3, 181, 571759
List the prime factors of 388876998.
2, 3, 3041, 21313
What are the prime factors of 2000523562?
2, 1409, 709909
List the prime factors of 54788139.
3, 7, 23, 37811
What are the prime factors of 54080033?
7, 47, 164377
List the prime factors of 25495993.
317, 80429
List the prime factors of 779904448.
2, 31, 393097
What are the prime factors of 107342827?
673, 159499
List the prime factors of 514174475.
5, 20566979
What are the prime factors of 124520100?
2, 3, 5, 269, 1543
What are the prime factors of 277416121?
37, 7497733
List the prime factors of 451037575.
5, 1913, 9431
What are the prime factors of 79532694?
2, 3, 4418483
What are the prime factors of 31869790?
2, 5, 3186979
What are the prime factors of 46547576?
2, 167, 34841
What are the prime factors of 5652518812?
2, 1413129703
List the prime factors of 63476550.
2, 3, 5, 23, 6133
What are the prime factors of 3786247468?
2, 9413, 100559
What are the prime factors of 2050195122?
2, 3, 113899729
What are the prime factors of 407718496?
2, 103, 123701
List the prime factors of 136794456.
2, 3, 1899923
List the prime factors of 97724643.
3, 32574881
What are the prime factors of 811860679?
7, 607, 191071
List the prime factors of 17829568.
2, 61, 4567
List the prime factors of 34179703.
59, 61, 9497
List the prime factors of 145205057.
37, 3924461
What are the prime factors of 313858275?
3, 5, 83, 127, 397
What are the prime factors of 602201449?
659, 913811
What are the prime factors of 38652529?
53, 729293
List the prime factors of 130886271.
3, 97, 313, 479
List the prime factors of 565987123.
13, 67, 649813
List the prime factors of 159502448.
2, 7, 389, 523
List the prime factors of 22759142.
2, 7, 29, 1933
What are the prime factors of 1139148202?
2, 89, 6399709
What are the prime factors of 1313953325?
5, 52558133
What are the prime factors of 61838055?
3, 5, 257, 5347
List the prime factors of 1155289978.
2, 17, | {
"pile_set_name": "DM Mathematics"
} |
*o. Determine x(d(y)).
14*y**4 + 114*y**2 + 232
Let z(o) = -5*o**2. Let t(x) = -15*x + 23. Let a(c) = -29*c + 39. Let g(s) = 4*a(s) - 7*t(s). Determine g(z(n)).
55*n**2 - 5
Let b(s) = 18753*s - 2397. Let u be (((-13)/(-39))/(-1))/((-1)/2397). Let d(z) = 141*z - 18. Let y(v) = u*d(v) - 6*b(v). Let n(l) = -3*l**2. What is n(y(p))?
-59643*p**2
Let q(h) be the third derivative of h**4/12 - h**2 + 937. Let c(p) = -10661*p. Determine q(c(r)).
-21322*r
Let h(o) = -118*o + 3352. Let k(y) = -42*y + 1117. Let z(u) = 5*h(u) - 14*k(u). Let m(w) = -3*w**2. Calculate m(z(r)).
-12*r**2 + 13464*r - 3776652
Let y(r) = -3*r + 55911. Let d(z) = 2*z - 212. Calculate d(y(m)).
-6*m + 111610
Let g(l) = -2*l + 576. Let i(t) = 12*t. Let v(b) = 5*b. Let y(u) = i(u) - 3*v(u). Calculate g(y(z)).
6*z + 576
Let l(h) = 9*h + 4. Let g(t) be the second derivative of 0*t**3 + 0 + 1/6*t**4 + 0*t**2 - 189*t. Give g(l(v)).
162*v**2 + 144*v + 32
Suppose -w = 4*w - 12 - 3. Let b(c) be the third derivative of -5*c**2 + 0 + 0*c**w + 0*c - 1/8*c**4. Let k(z) = z**2. What is b(k(j))?
-3*j**2
Suppose -3*y + 4 = -26. Let x(j) = -3*j - 10. Let c(b) = -b - 4. Let r(d) = y*c(d) - 4*x(d). Let g(z) = 7*z + 0*z**2 - 7*z - z**2. Give g(r(i)).
-4*i**2
Let g(x) = 13*x**2. Let i(w) = -25*w**2 - 16*w + 16. Let r(a) = 8*a**2 + 6*a - 6. Let v be (-2 + 9/4)/(7/84). Let k(t) = v*i(t) + 8*r(t). What is g(k(c))?
1573*c**4
Let q(x) be the first derivative of 0*x + 20 - 1/3*x**3 + 0*x**2. Let r(o) = -2. Let z(j) = j - 9. Let k(h) = 9*r(h) - 2*z(h). Determine k(q(b)).
2*b**2
Let g be (-2 - -1)/(7 + (-3308)/472). Let s(n) = -118 + g - n. Let a(c) = -51*c + 1. Give s(a(f)).
51*f - 1
Let l(w) be the first derivative of w**2/2 + 2. Let h = -542 - -550. Let q(b) = 18*b - 7. Let z(n) = -6*n + 3. Let a(s) = h*z(s) + 3*q(s). What is l(a(g))?
6*g + 3
Let s be 3*2/(-9)*129. Let q = s + 128. Let m(a) = 38 + q - 80 + 6*a. Let c(o) = -o. Give m(c(r)).
-6*r
Let f(p) = 9*p**2. Let n(k) = k**2 + k + 6. Let v(r) = 5*r**2 - 12*r - 36. Let o(d) = -6*n(d) - v(d). Calculate o(f(u)).
-891*u**4 + 54*u**2
Let o(f) = 6*f**2 + 272*f**2 + 1033*f**2. Let r(l) = 2*l. Give o(r(q)).
5244*q**2
Let f(j) = -j**2 - 139*j - 4. Let i(m) = m**2 + 142*m + 6. Let c(w) = 3*f(w) + 2*i(w). Let l(o) be the third derivative of o**5/30 - 4*o**2. Calculate c(l(k)).
-4*k**4 - 266*k**2
Let n(g) = 6*g. Let j(k) = -47637285*k. What is j(n(p))?
-285823710*p
Let g(j) = -2*j. Let f(p) = -190*p - 3*p**2 + 192*p - 1 + 3 + p**3. Let n be f(2). Let o(x) = -7*x**n + 4*x**2 + 2*x**2 + 14. Give g(o(l)).
2*l**2 - 28
Let n(x) = 20 - 5255*x + 10493*x - 5246*x + 1. Let y(s) = 5*s**2. Calculate y(n(p)).
320*p**2 - 1680*p + 2205
Let g(r) = -r - 1. Let q(y) be the third derivative of y**4/2 + 5*y**3/3 + 10*y**2 - 1. Let m(s) = -10*g(s) - q(s). Let l(j) = 1 - 3*j - 1. Determine l(m(x)).
6*x
Let f(d) = -662811*d**2. Let s(z) = 2*z**2 + 917. Calculate s(f(w)).
878636843442*w**4 + 917
Let r(f) = 44*f + 10. Let l(z) = 79*z + 18. Let x(o) = 5*l(o) - 9*r(o). Let i(v) = -70*v. Calculate i(x(d)).
70*d
Let v(x) = 9*x**2 + 72. Let b(u) = 11*u**2 + 90. Let i(a) = -4*b(a) + 5*v(a). Let c(p) = 2*p**2 + 28*p. What is c(i(k))?
2*k**4 + 28*k**2
Let n(i) = -3128*i**2 - 299. Let d(u) = 21*u**2 + 2. Let s(j) = -897*d(j) - 6*n(j). Let h(w) be the first derivative of w**2/2 - 56. What is h(s(g))?
-69*g**2
Let c(s) be the first derivative of 16*s**3 + 256. Let y(q) be the first derivative of -q**3/3 - 9. Determine y(c(z)).
-2304*z**4
Let o(s) = 17*s. Let h(g) = 3*g + 201810. Calculate h(o(c)).
51*c + 201810
Let g(z) = 2*z. Let h(m) = 1074492*m**2 - 4. Determine h(g(r)).
4297968*r**2 - 4
Let o(m) = -51*m. Let r(i) = -i + 18573. Determine o(r(k)).
51*k - 947223
Suppose 3*c = -3*d - c + 13, 17 = 5*d + 2*c. Let y(x) = d*x - 456 + 456 - 4*x. Let j(v) = -19*v**2. Calculate y(j(i)).
19*i**2
Let z(a) = -a**2 - 5*a. Let q(m) = 36*m + 12. Let i(p) = 33*p + 10. Let o(l) = -6*i(l) + 5*q(l). Calculate z(o(f)).
-324*f**2 + 90*f
Let x(b) = -12835*b + 6390*b + 6434*b. Let d(u) = 5*u. Suppose 0 = -s - 10 - 1. Let g(w) = 3*w. Let v(q) = s*g(q) + 6*d(q). Determine x(v(c)).
33*c
Let h(p) = 126*p + 135*p - 270*p. Let q(t) = -62*t. Determine h(q(j)).
558*j
Let z(k) = 3*k**2 + 4*k**2 + 6*k**2. Let m(b) be the second derivative of 5/6*b**3 + 2*b + 0*b**2 + 0. Determine z(m(n)).
325*n**2
Let u(r) = -17*r. Let h(k) = 233*k**2 - 36*k + 6. Let b(t) = 102053*t**2 - 15774*t + 2629. Let x(l) = 6*b(l) - 2629*h(l). Give u(x(p)).
4063*p**2
Let g be 28*6/(-16)*-2. Let k(i) = g*i - 20*i + 11*i. Let w(r) = 5*r. Calculate w(k(p)).
60*p
Let z(u) = 422*u + 2. Let q(m) = 82*m**2 + 2*m. Determine z(q(b)).
34604*b**2 + 844*b + 2
Let m(p) = 22 + 4 - 26 - 9*p. Let y(a) be the first derivative of 5*a**4/12 - 6*a - 2. Let j(f) be the first derivative of y(f). Calculate j(m(d)).
405*d**2
Let y(x) = 88*x - 224. Let n(o) = 206*o. Calculate n(y(z)).
18128*z - 46144
Suppose -207*w + 22 + 379 = -13. Let b(i) be the third derivative of 0 + 0*i**3 + 29*i**w + 0*i - 1/12*i**4. Let u(y) = -20*y**2. Determine b(u(f)).
40*f**2
Let g(x) = -1. Let w = -2 + 5. Let a(p) = -3*p + 5. Let s(r) = w*a(r) + 15*g(r). Let d(k) = 177*k + 6*k**2 - 4*k**2 - 177*k + 2*k**2. Calculate d(s(u)).
324*u**2
Let d(p) = 2*p**2. Let k(f) = -221*f + 609*f - 205*f - 201*f. What is k(d(g))?
-36*g**2
Let l = 5209 + -5206. Let z(x) be the second derivative of 1/2*x**3 + l*x + 0 + 0*x**2. Let j(v) = -3*v**2. Determine j(z(c)).
-27*c**2
Let g(x) be the third derivative of -x**5/30 + 4*x**2. Let u(v) be the first derivative of -3*v**2 - 3898. Calculate g(u(i)).
-72*i**2
Let g(a) = 1797034*a**2. Let z(j) = -2*j. What is z(g(k))?
-3594068*k**2
Let q(r) = 46*r - 77. Let b(j) = 40*j - 66. Let u(g) = -7*b(g) + 6*q(g). Let l(x) = -37*x - 1. Determine l(u(f)).
148*f - 1
Let s(v) = 9*v**2. Let k(o) = 33*o - 102. Let b(l) = 2*l - 21. Let m(n) = 5*b(n) - k(n). Determine s(m(x)).
4761*x**2 + 1242*x + 81
Let y(q) = -2*q. Let j(v) be the first derivative of 247/2*v**2 - 22 + 0*v. Give j(y(m)).
-494*m
Let n(v) = -371111*v**2. Let p(b) = 137*b. Give n(p(o)).
-6965382359*o**2
Let s(x) = 14*x + 37. Let u(z) = -7849*z. Calculate s(u(r)).
-109886*r + 37
Let k(p) = -865 + 428 + 437 - 16*p**2. Let g(o) be the first derivative of o**5/60 + o**3 + 9. Let l(w) be the third derivative of g(w). Determine l(k(q)).
-32*q**2
Let q(n) = -2*n - 5. Let j(g) = 5*g + 2. Let x(k) = 10*j(k) + 4*q(k). Let t(p) = -25*p**2. What is t(x(s))?
-44100*s**2
Let w(f) = -f + 568. Let z(q) = 14*q + 583. Calculate w(z(i)).
-14*i - 15
Let i(m) = -73*m**2 - 7. Let o(z) = 141*z**2 + 13. Let a(x) = 11*i(x) + 6*o(x). Let w(p) be the second derivative of -p**4/3 + 5*p - 1. Determine w(a(j)).
-7396*j**4 - 344*j**2 - 4
Let c(k) = -13823*k. Let x(n) = 4*n - 1402. Determine c(x(f)).
-55292*f + 19379846
Let o(i) = 16*i + 840. Let c(g) = 35. Let l(q) = 24*c(q) - o(q). Let j(k) = -56*k - 1. Calculate j(l(d)).
896*d - 1
Let p(x) = 9*x**2. Let k(r) = 3048111*r**2 - r - 2. Give k(p(c)).
246896991*c**4 - 9*c**2 - 2
Let a(p) be the third derivative of 0 - p**3 + 7/60*p**5 + 0*p + 0*p**4 - 23*p**2. Let n(t) = 11*t**2 - 8*t**2 - 2*t**2. Calculate a(n(w)).
7*w**4 - 6
Let w(n) = -81*n. Let y(g) be the second derivative of 2*g**3 + 2478*g. Give w(y(z)).
-972*z
Let j(r) = 25*r**2 - 6*r - 2377. Let b(t) = -16*t**2 + 5. Calculate j(b(n)).
6400*n**4 - 3904*n**2 - 1782
Let g(k) = 5*k**2 + 2*k - 2. Let o(q) = 9*q**2 + 3*q - 3. Let w(p) = 3*g(p) - 2*o(p). Let u(d) = -5*d + d - 8 + 2 + 0. Give u(w(c)).
12*c**2 - 6
Let j(g) be the first derivative of 51 - 3*g**2 + 0*g**2 + g**2 - 136 - 6*g. Let a(l) = -4*l. What is a(j(q))?
16*q + 24
Let u(l) = 56266408*l**2. Let f(s) = -3*s**2. Give u(f(p)).
506397672*p**4
Let h(u) = -19*u. Let w(a) = 2*a**3 - 27*a**2 - 5*a - 20. Let l be w(14). Let t(i) = 318*i - 111*i - l*i - 108*i. Give h(t(g)).
133*g
Suppose -6*c = -t - c + 9, -2*t = -c - 63. Let m(i) = 9 + t + 6 - 2*i + 2*i + 2*i. Let u(q) = -q. Calculate u(m(y)).
-2*y - 49
Let k(g) be the second derivative of g**4/12 - 2345*g + 1. Let x(u) = -22*u**2 - 5. Calculate k(x(j)).
484*j**4 + 220*j**2 + 25
Let d(h) = 4502*h**2 - 23*h + 75. Let f(s) = 2*s. Calculate d(f(w)).
18008*w**2 - 46*w + 75
Let w(g) = 431776*g**2. Let o(u) = 8*u**2 - 3. Determine o(w(i)).
1491444113408*i* | {
"pile_set_name": "DM Mathematics"
} |
51+-474.523
120476.477
Calculate -113511184 - 0.4.
-113511184.4
46.973453+-7.3
39.673453
What is 11.117069 + -1.3?
9.817069
What is -6702 take away 2933751?
-2940453
Put together -198 and -425.892.
-623.892
Calculate 0.984 - 559.
-558.016
Sum -0.08 and 243.346818.
243.266818
What is -3.26 take away 233517?
-233520.26
What is 0.3 less than 34654960?
34654959.7
Subtract 48268278 from -0.2.
-48268278.2
Work out 9611 - -395866.
405477
Add -67971 and 243192.
175221
What is 1 + 353865.7?
353866.7
Put together 1448 and -0.8352.
1447.1648
Work out -221566 + -37.1.
-221603.1
3412076673 + 16
3412076689
What is 436082.9 less than -0.2?
-436083.1
Add 496 and 4448284.
4448780
What is 0.1481737 - -382?
382.1481737
What is the difference between -0.06 and 173513356?
173513356.06
What is 1950415435 less than 3?
-1950415432
Total of -368629 and -221.
-368850
Calculate 47153 + 16382.
63535
Put together -1.4 and -16045478.
-16045479.4
What is the distance between 1167.0157 and 74.8?
1092.2157
Put together -2952267 and 0.25.
-2952266.75
What is 251 minus 23947.5?
-23696.5
What is -1 + 34152310?
34152309
What is -0.981 take away -61225.2?
61224.219
What is -1252.54 - 29.788?
-1282.328
What is the difference between -144.1 and 1287722?
1287866.1
What is the distance between 21890173 and 0.287?
21890172.713
Add -67 and -1034819.16.
-1034886.16
What is the distance between -60 and 162976?
163036
What is 6.411865 plus 0.3?
6.711865
Work out -752179 - -1501.
-750678
What is 4724572 - -61?
4724633
Work out -18.3429 + 25.
6.6571
Work out 0.72 + -22858.
-22857.28
Work out 0.427 + 893.6028.
894.0298
0.11 + 16071017
16071017.11
What is 3.08356 less than 0.037?
-3.04656
What is 1 minus 2357.67412?
-2356.67412
What is 2389585.57 + 10?
2389595.57
What is 175 less than 5.5502?
-169.4498
Sum -133216 and 174.
-133042
Work out 41 - 350030.
-349989
-1212913567 - -2
-1212913565
Work out 26 + -20202796.
-20202770
-0.2 - 77.854558
-78.054558
Total of 6195628 and 0.092.
6195628.092
8635702+0.03
8635702.03
What is 11966 less than 0.01839?
-11965.98161
What is -31477 take away 0.9647?
-31477.9647
What is -6.7 - -693?
686.3
What is the difference between 21 and -42854?
42875
Calculate -144 - -171294818.
171294674
Calculate 1811 - -11562.
13373
Work out 43 - 374969482.
-374969439
Add together -244.682 and -1.8.
-246.482
Work out -880882174 - 0.7.
-880882174.7
Put together -3.9684 and -109737.
-109740.9684
Sum 1007 and 7671.
8678
-44432580 + 0.003
-44432579.997
What is -0.1 + -151004070?
-151004070.1
Calculate -0.0553808 - 79.78.
-79.8353808
What is 0.2 minus 74106133?
-74106132.8
7879+-52417
-44538
Work out 119951 - 0.00654.
119950.99346
What is the difference between -43.515 and -155?
111.485
Calculate 793.1 + 17.983.
811.083
-178875+0.558
-178874.442
What is -0.79 plus -2141.1?
-2141.89
Calculate -290 + -4.49115.
-294.49115
Subtract -32.8 from 1.0369324.
33.8369324
Put together 38836387488 and -5.
38836387483
Sum -16673636.578 and 0.3.
-16673636.278
Add together 56.42005 and -187.
-130.57995
Calculate -0.23 - 45.05782.
-45.28782
What is 80630.5252 + -1.5?
80629.0252
0.02 - 346878.494
-346878.474
0.26357999 - -0.067
0.33057999
Work out -2.01 + -12.536239.
-14.546239
What is -0.5 plus 1969786444?
1969786443.5
Work out 4.119 + -1905.
-1900.881
-5193405 + 72
-5193333
-34242.42+21
-34221.42
What is -94.13 plus 6483818?
6483723.87
-16381.1 + -448
-16829.1
-33.39005+-13
-46.39005
Sum 1184.1 and -12.31129.
1171.78871
Subtract 1151927 from -4.1.
-1151931.1
6 - -85715
85721
Work out -78 - -692.66929.
614.66929
Work out 4.9681 + -0.045987.
4.922113
-4816917805 - 0.2
-4816917805.2
What is -922273.597 minus -4.9?
-922268.697
Total of -1.28297 and -0.043715.
-1.326685
What is 2319166590 + 0.1?
2319166590.1
Work out 157.979 + 0.78.
158.759
What is -222870731 less than 10?
222870741
What is -1.2 less than -1760900?
-1760898.8
2+95196.1625
95198.1625
Calculate -0.067 + 460.48.
460.413
-1893 - -5056834
5054941
5.612 - 47772
-47766.388
68522751 - -1
68522752
What is -116.825078 - 19.6?
-136.425078
Sum -4658 and -15027.324.
-19685.324
What is 1 minus -293032?
293033
1201238266+41
1201238307
What is 39617 - 0.206212?
39616.793788
1636 - -7.54785
1643.54785
-4718 - 2523.56
-7241.56
What is the distance between 0.618 and 0.307926?
0.310074
Subtract 0.0365 from -8511719.
-8511719.0365
Work out -0.3 + 91437096.
91437095.7
Work out 13 + -3970.18.
-3957.18
What is 866575995 take away 2.2?
866575992.8
0.34 - 318023028
-318023027.66
What is the difference between 755993 and -39?
756032
Work out 9 - 297880.8555.
-297871.8555
What is -102 - -9101?
8999
What is the difference between 0.04 and 2603415?
2603414.96
Subtract 10037548 from 279.
-10037269
Put together 1051.2857021 and -0.4.
1050.8857021
Add together -10.02 and 8.68382.
-1.33618
Total of -0.12 and -47.9567.
-48.0767
What is -632 less than -880248?
-879616
Calculate -545573528 - 0.5.
-545573528.5
-132.31 - 273242
-273374.31
What is the difference between 503646213 and -0.5?
503646213.5
67294890 - -877
67295767
Calculate 1.954817 - -2.04.
3.994817
Add together -696.9 and -415318.
-416014.9
Work out 11.55 - 4.413314.
7.136686
Add together -2115 and -10.4697.
-2125.4697
What is -11158534 + -0.2?
-11158534.2
What is -1426417 - 3544?
-1429961
Add 286.86991 and -96.
190.86991
Total of 497342 and -73828.
423514
Total of -2455 and -469052.
-471507
Subtract -13.35 from -11700.
-11686.65
What is 0.0875 minus 341097?
-341096.9125
What is the difference between 0.14 and 676.2307?
676.0907
What is -42712217 plus 0.162?
-42712216.838
Sum -337656 and 5575.
-332081
Sum -7509 and -10.49.
-7519.49
Add together -54.93 and 567.86.
512.93
What is -2342.7 take away 47.495?
-2390.195
What is the difference between 1.8757 and 1328?
1326.1243
Subtract -0.5 from -90.1209497.
-89.6209497
Calculate 148466 - 734.5.
147731.5
Add together -0.5 and -4223.7825.
-4224.2825
-4.120896+-577
-581.120896
What is -827.433 take away 31?
-858.433
Add -5.8497 and -2539.43.
-2545.2797
Work out -6.876 + 55460.
55453.124
Add -52 and -492.1741.
-544.1741
-5 + -401277.3
-401282.3
What is 10078 + 14.93545?
10092.93545
Put together 109380294 and 17.
109380311
Calculate 0.883739 - -13.
13.883739
-0.06+-280780889
-280780889.06
What is 0.2 take away -5592.896?
5593.096
-1396911194+0.1
-1396911193.9
Work out -9894348 + 0.02.
-9894347.98
Add 5219.97 and -6.
5213.97
Calculate -1366960 - 0.05034.
-1366960.05034
-1+6291270698
6291270697
Subtract 467 from -26.34.
-493.34
What is the distance between 4 and -8364922?
8364926
What is -101828199 - 0.03?
-101828199.03
What is -15.890917 plus 37?
21.109083
Put together -0.2 and 0.03017443424.
-0.16982556576
Work out -47 - -0.0807540046.
-46.9192459954
33.50735246 + -0.03
33.47735246
Work out -33491 - 741.
-34232
Add together -0.4 and 10309892.
10309891.6
Work out 2385.7 - -410.
2795.7
Calculate 619300 + 1.7323.
619301.7323
Work out -0.1 - -1693946.078.
1693945.978
Sum 26.58 and 599.87.
626.45
Add 93051.2 and -0.7977.
93050.4023
Work out -4 + 22943.1.
22939.1
0.3 - 112592323
-112592322.7
What is the distance between -7555926 and 170?
7556096
What is 4764.87 less than -7762?
-12526.87
Work out -14.6 - -180491.3.
180476.7
Work out -0.1 + 12.3391616.
12.2391616
Calculate 33209273 - 12.
33209261
0.5+-14712862
-14712861.5
What is 7645 less than 0.20918?
-7644.79082
Add together 0.2 and 637.1102.
637.3102
Total of -0.5 and -338.66907.
-339.16907
What is -258664 less than 0.008?
258664.008
Add together -320440 and -4087.
-324527
What is -7660355 - 0.8?
-7660355.8
Calculate 1826 + -542488.
-540662
What is -7717463.45 minus 0.4?
-7717463.85
0.19 + 708.0741
708.2641
Subtract 58.93 from 52.09.
-6.84
Add 0.5387503 and -1.
-0.4612497
What is the difference between 5.6 and -36980?
36985.6
4 - 71465517.4
-71465513.4
-627+189042
188415
1+9093126
9093127
Calculate -119 - -1336.509.
1217.509
Add together -0.03121704 and -293.
-293.03121704
Total of 3642 and -19117453.
-19113811
What is the difference between 370.257813 and 0.1?
370.157813
Calculate -37 + 213.1032319.
176.1032319
-51597.891 + -153
-51750.891
Total of -1479533903 and 2.
-1479533901
What is the distance between -11 and 0.7450584?
11.7450584
Add -0.4 and 192652243.
192652242.6
What is the difference between -7093.53453 and 0 | {
"pile_set_name": "DM Mathematics"
} |
3. Let n(w) = -3*j(w) + 4*q(w). Give n(c(d)).
-4*d
Let n(g) be the third derivative of 7*g**6/360 + g**3/2 - 3*g**2. Let b(i) be the first derivative of n(i). Let c(q) = -q**2. What is c(b(x))?
-49*x**4
Let y(u) be the first derivative of -u**2 + 0*u**4 + 0*u + 2 + 1/60*u**5 + 0*u**3. Let q(a) be the second derivative of y(a). Let k(f) = -4*f**2. Give k(q(v)).
-4*v**4
Let j(h) = -5*h. Let m(n) = n**2 + n - 1. Let c(u) = -6*u**2 - 7*u + 7. Let z(q) = -2*c(q) - 14*m(q). Calculate z(j(a)).
-50*a**2
Let g(z) = -2*z**2. Let t(x) = 12480*x. What is t(g(s))?
-24960*s**2
Let u(g) = -2*g**2. Let x(o) = -4*o - 6. Let t(f) = 4*f + 8. Let z(i) = -4*t(i) - 5*x(i). What is z(u(j))?
-8*j**2 - 2
Let d(j) = j + 5. Let n(k) = 9*k + 2. What is d(n(c))?
9*c + 7
Let u(r) = r**2. Let x(q) = -q + 4*q**2 - 3*q**2 - 1 + 0*q**2. Let l(s) = -6*s**2 + 2*s + 2. Let j(a) = -l(a) - 2*x(a). What is u(j(h))?
16*h**4
Let p(a) = -14*a. Let l(q) be the third derivative of -q**4/12 - 11*q**2. What is p(l(o))?
28*o
Let h(i) = -i**2. Let b(x) be the first derivative of 5*x**2/2 - 6. Give b(h(q)).
-5*q**2
Suppose -3*l + 11 = 2, -i - l = -5. Let w(t) = -t - t + 2*t + t**i. Let x(y) = y. What is x(w(o))?
o**2
Let p be 2/8 + (-10)/40. Let x(j) be the first derivative of 2 + p*j - 2/3*j**3 + 0*j**2. Let s(k) = 2*k**2. Determine x(s(o)).
-8*o**4
Let q(l) = 14*l. Let o(h) = -5*h. Let p(x) = -11*o(x) - 4*q(x). Let g(b) = 4*b. What is p(g(v))?
-4*v
Let s(c) = -19410*c. Let m(f) = -2*f. Calculate s(m(v)).
38820*v
Let z(d) = 50*d. Let w(t) = -t**2. Give z(w(c)).
-50*c**2
Let p(q) = 89*q. Let s(j) = -341 + 341 + 2*j. Determine p(s(y)).
178*y
Let d(a) = -3*a**2. Let b(g) = -g**3 - 6*g**2 - g - 4. Let c be b(-6). Let f(m) = 5 + 2 - 7 - c*m. Calculate d(f(o)).
-12*o**2
Suppose 3*n + 3 = 3*f, -f + 9 = -0*n + n. Suppose -6*m + m + 15 = f*h, 2*h = 4*m. Let p(b) = 3*b**h + b**2 - 3*b**2. Let g(y) = 3*y**2. Calculate g(p(w)).
3*w**4
Let j(y) = y**2. Let q(a) be the third derivative of -a**8/10080 + a**5/30 - 2*a**2. Let h(f) be the third derivative of q(f). What is h(j(c))?
-2*c**4
Let t(v) = -3*v**2. Let q(b) = -b + 1. Let h(d) = -1. Let n(l) = -h(l) - q(l). Calculate t(n(k)).
-3*k**2
Let a(j) be the second derivative of -j**3/2 + 4*j. Let d(f) = 49*f - 49*f - 3*f**2. Calculate a(d(k)).
9*k**2
Let o(x) = -12*x. Let h(b) = 5*b**2 - 6*b + 6. Let y(m) = 9*m**2 - 11*m + 11. Let v(f) = -11*h(f) + 6*y(f). Calculate v(o(p)).
-144*p**2
Let n(j) = -5*j**2. Let o(s) = -130*s**2. What is n(o(g))?
-84500*g**4
Let v(p) be the third derivative of 13*p**5/60 + 22*p**2. Let x(t) = t**2. Determine x(v(q)).
169*q**4
Let k(g) = -3*g**2. Suppose 0 = 5*n + 2*z + 5 - 19, -n + 4*z + 16 = 0. Let t(m) = 3*m**2 - n*m**2 + 3*m**2. Determine k(t(j)).
-12*j**4
Let t(b) = -8*b**2. Let v(k) = -k**2. Let h(o) = -2*t(o) + 18*v(o). Let x(p) = 3*p + p - p - 4*p. Give h(x(r)).
-2*r**2
Let v(h) = -h. Let x(j) = -56*j + 4*j + 26*j. Give v(x(m)).
26*m
Let a(o) = -438*o**2 - 1. Let p(m) = -m. What is a(p(w))?
-438*w**2 - 1
Let d(c) = c. Let k(m) = -127*m + 2. Calculate k(d(z)).
-127*z + 2
Let v(w) be the third derivative of 1/12*w**4 - 2*w**2 + 0*w**3 + 0 + 0*w. Let z(a) = -2*a. Calculate z(v(r)).
-4*r
Suppose -4*h + 8 = -0*h. Let a(i) = -6 + 6 - h*i. Let q(s) = -10*s. Let o(v) = -2*v. Let c(m) = -16*o(m) + 3*q(m). What is c(a(l))?
-4*l
Let c(s) = 2*s. Let h(g) = -11*g - 3. Determine h(c(n)).
-22*n - 3
Let f = -9 + 17. Let l(r) = 4*r**2 - 2*r**2 + f - 8. Let b(p) = p**2 + p**2 - 4*p**2. Give b(l(g)).
-8*g**4
Let z(h) = -h + 0*h - 4*h. Let s(w) be the first derivative of -2*w**3/3 + 5. Determine s(z(k)).
-50*k**2
Let o(k) = -6*k**2 - 4*k**2 + 8*k**2. Let m(u) be the third derivative of -u**4/12 + u**2. Calculate m(o(q)).
4*q**2
Let r(n) be the first derivative of -7*n**3/3 + 3*n**2 - 6*n + 2. Let f(s) = 6*s**2 - 5*s + 5. Let v(x) = 6*f(x) + 5*r(x). Let j(l) = 5*l. Give v(j(a)).
25*a**2
Let l(h) = -5*h + 6*h + 18*h. Let p(c) = c. Calculate p(l(z)).
19*z
Let g(f) = -4*f. Let j(s) = s + 4490. Calculate j(g(m)).
-4*m + 4490
Let s(c) = -7*c - 27. Let h(o) = 3*o. Calculate h(s(d)).
-21*d - 81
Let j(o) = 1. Let a(l) = -3*l**2 - 3. Let n(u) = a(u) + 3*j(u). Let r(z) = -z**2 - z. Let f(m) = -2*m**2 - m. Let q(t) = -f(t) + r(t). Give n(q(p)).
-3*p**4
Let g(x) = 49*x. Let m(l) = 12*l. Let s(k) = 5*g(k) - 21*m(k). Let f(y) = -y. What is s(f(j))?
7*j
Let x(r) = 2*r - r + 0*r. Let c(t) = t + 2. Let d(u) = -1. Let w(p) = -c(p) - 2*d(p). What is x(w(l))?
-l
Let q(l) = -l. Let i = -12/13 + 85/78. Let o(h) be the second derivative of i*h**4 + 0*h**3 + 0 + 0*h**2 + h. What is q(o(t))?
-2*t**2
Let o(h) = 2*h**2. Let y(l) = -57*l. Calculate y(o(q)).
-114*q**2
Let b(r) = -5*r + 7. Let m(c) = -9*c**2. Determine b(m(k)).
45*k**2 + 7
Let k(l) = l. Let d(r) = -2*r + 13. Let g(u) = 2*u - 13. Let f(x) = 3*d(x) + 2*g(x). What is k(f(s))?
-2*s + 13
Let n(f) = -2*f. Let m(i) = 308*i. Determine m(n(b)).
-616*b
Let l be 4/10 - (-24)/15. Let q(z) = -4*z - l*z + 4*z. Let u(j) be the second derivative of -j**4/6 + j. What is q(u(d))?
4*d**2
Let d(g) = -356*g**2. Let c(l) = 2*l. Calculate c(d(u)).
-712*u**2
Let l(z) = z**2. Let i(x) = x**2 + 4*x + 3. Let o be i(-4). Let u(f) = o*f - 5*f + 3*f. Give u(l(s)).
s**2
Suppose -10*t = -13*t + 9. Let q(k) be the second derivative of 0 - 1/3*k**t - 3*k + 0*k**2. Let h(v) = 2*v**2. Calculate q(h(m)).
-4*m**2
Let n(r) = -2*r**2. Let s(q) = -5*q**2 + 8*q - 7*q**2 - 8*q. Determine s(n(x)).
-48*x**4
Let h(w) = w + 19. Let k(i) = -6*i. Calculate k(h(u)).
-6*u - 114
Let t(n) = 2*n**2. Let j(b) be the third derivative of 13*b**4/8 + 7*b**2. Give t(j(q)).
3042*q**2
Let q(s) = 2*s. Let h(t) = -1580*t**2. Determine h(q(i)).
-6320*i**2
Let l(t) = 102*t - 42. Let d(u) = -12*u + 5. Let h(x) = -42*d(x) - 5*l(x). Let b(q) = q**2. Give h(b(j)).
-6*j**2
Let f(v) = 10*v. Let g(n) = -5*n - 7. Let k(y) = -2*y - 3. Suppose -3*h + 5*h = -28. Let p(s) = h*k(s) + 6*g(s). Give p(f(r)).
-20*r
Let u(j) = j. Suppose -3*a - 23 = -h, -9 = a - 4*h + 3*h. Let i(y) = 9*y - 6. Let o(r) = -10*r + 7. Let n(w) = a*i(w) - 6*o(w). Calculate u(n(p)).
-3*p
Suppose 4*b - 27 = 5*f, 2*b = 4*b - 2*f - 12. Suppose -2*c - 12 = -7*c - h, 0 = -c + b*h + 12. Let m(i) = -1 + 1 - c*i. Let s(u) = u**2. Calculate m(s(n)).
-3*n**2
Let g = -6 + 11. Suppose -2*o - 4*p - p = 6, g*p + 18 = 4*o. Let q(y) = 5*y - 5*y - y**o. Let u(v) = v**2. Determine u(q(l)).
l**4
Let y(k) be the first derivative of 0*k + 0*k**3 + 1/60*k**5 + 0*k**4 + 1 + k**2. Let n(g) be the second derivative of y(g). Let z(a) = -2*a**2. Give n(z(c)).
4*c**4
Let r(h) be the second derivative of h**5/3 + 3*h**2/2 + 5*h. Let s(o) be the first derivative of r(o). Let t(v) = 2*v**2. Give s(t(l)).
80*l**4
Let z(a) = 43*a**2. Let i(v) = 8*v. Give z(i(t)).
2752*t**2
Let c(q) = q. Let h(i) be the first derivative of -3*i**2/2 + 4. Determine h(c(s)).
-3*s
Suppose -1 = 2*r + 7. Let j(f) = 9*f**2 - 4*f. Let p(z) = -17*z**2 + 7*z. Let o(w) = r*p(w) - 7*j(w). Let x(i) = -2*i. Calculate o(x(v)).
20*v**2
Let y(v) be the third derivative of v**4/12 + 15*v**2. Let r(h) = 16*h**2. Calculate y(r(t)).
32*t**2
Let j(g) = g**2 + 2*g + 2. Let k(z) = 2*z**2 + 3*z + 3. Let u(b) = -3*j(b) + 2*k(b). Let a(x) = 44*x. Determine a(u(q)).
44*q**2
Let w(d) = -2*d**2. Let l(y) = 4*y**2 + 8*y**2 + y**2 - 2*y**2. Give w(l(g)).
-242*g**4
Let p(w) = -3*w. Let a(x) = -x**2 + 33. Calculate p(a(n)).
3*n**2 - 99
Let h(f) be the first derivative of -f**2/2 + 11. Let v(q) = -23*q**2. Give v(h(c)).
-23*c**2
Let o(c) be the second derivative of c**4/6 + c. Let k be 1 + 1 + (-2)/2. Let u(a) = a + k - 1. What is o(u(p))?
2*p**2
Let f(w) = -2*w. Let x = 14 - 21. Let y(s) = s. Let c(i) = -3*i. Let m(a) = x*y(a) - 2*c(a). Calculate f(m(n)).
2*n
Let w be (-2 - -1)/(-1) + 1. Let o(v) = -v**w + 0*v - v + v. Let m(s) = -5*s. Give o(m(f)).
-25*f**2
Let a(j) = 1019*j**2 - j. Let z(f) = 2*f. Calculate a(z(g)).
4076*g**2 - 2*g
Let f(v) be the second derivative of v**5/30 - v**2 + 2*v. Let k(x) be the first derivative of f(x). Let w(j) = j. Determine w(k(s)).
2*s**2
Let a(o) = -4*o. Let m(f) be the second derivative of f**4/24 + 2*f**2 + f. Let c(t) be the first derivative of m(t). Give a(c(r)).
-4*r
Let v(c) be the second derivative of c**3/6 - 2*c. Let i(n) = 5*n. What is i(v(p | {
"pile_set_name": "DM Mathematics"
} |
/35
Three letters picked without replacement from eeelevaeleealeeeqe. What is prob of picking 2 l and 1 a?
1/136
Two letters picked without replacement from ttaet. Give prob of picking 1 a and 1 e.
1/10
What is prob of picking 1 e, 1 m, and 1 h when three letters picked without replacement from mzhhemhjmzhhcze?
6/91
What is prob of picking 1 b, 1 w, and 2 h when four letters picked without replacement from eohwhob?
1/35
Two letters picked without replacement from pfpfffpffppmf. What is prob of picking 2 f?
7/26
Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, v: 1, d: 2, g: 1, j: 12}.
1/136
What is prob of picking 1 h and 1 u when two letters picked without replacement from {c: 1, f: 1, i: 2, h: 1, x: 2, u: 1}?
1/28
Four letters picked without replacement from nmpjccx. Give prob of picking 1 m, 1 c, 1 n, and 1 p.
2/35
What is prob of picking 1 l and 1 o when two letters picked without replacement from lloolollllllolllllll?
32/95
Two letters picked without replacement from vvcvvvccvccv. What is prob of picking 1 c and 1 v?
35/66
Three letters picked without replacement from oooooovvvoovov. What is prob of picking 2 o and 1 v?
45/91
Two letters picked without replacement from viicjjviiicjivcixji. What is prob of picking 2 v?
1/57
Two letters picked without replacement from {e: 4, i: 6, v: 1, d: 3, k: 1}. What is prob of picking 1 d and 1 v?
1/35
Three letters picked without replacement from eppeeeeeeeeeeepeep. What is prob of picking 2 e and 1 p?
91/204
Calculate prob of picking 4 j when four letters picked without replacement from {j: 10}.
1
Two letters picked without replacement from gbgg. What is prob of picking 2 b?
0
Three letters picked without replacement from bxjxjxxjbsjssjx. Give prob of picking 2 s and 1 j.
3/91
Three letters picked without replacement from dqtsfxftx. What is prob of picking 1 x, 1 q, and 1 d?
1/42
What is prob of picking 2 f when two letters picked without replacement from {g: 3, n: 1, l: 3, f: 3}?
1/15
Three letters picked without replacement from eeqqqqqq. Give prob of picking 3 q.
5/14
Four letters picked without replacement from {d: 2, k: 4, v: 1, b: 7, j: 3}. Give prob of picking 1 v and 3 k.
1/595
What is prob of picking 1 y and 1 f when two letters picked without replacement from pffnlnnyfyyff?
5/26
Four letters picked without replacement from ggzgmzzmymzmyzyzygyg. What is prob of picking 1 m, 2 z, and 1 y?
20/323
Four letters picked without replacement from qkksksggksqggsk. Give prob of picking 2 k, 1 s, and 1 q.
16/273
Calculate prob of picking 2 v and 1 l when three letters picked without replacement from {v: 2, l: 4, q: 2}.
1/14
Four letters picked without replacement from {l: 2, s: 9, k: 8}. What is prob of picking 1 k, 2 s, and 1 l?
48/323
What is prob of picking 2 d and 2 v when four letters picked without replacement from vdoovvodovdodvovdvo?
35/646
Four letters picked without replacement from noppaonxoo. Give prob of picking 2 p, 1 o, and 1 a.
2/105
Calculate prob of picking 2 f when two letters picked without replacement from ssnnyflslfyfnnlys.
3/136
Calculate prob of picking 1 m, 1 w, and 1 p when three letters picked without replacement from pmjpjpjwjppjjpjp.
1/80
Two letters picked without replacement from {m: 2, v: 2, l: 2}. What is prob of picking 1 l and 1 v?
4/15
What is prob of picking 1 j and 1 b when two letters picked without replacement from {f: 1, b: 4, x: 7, j: 2, q: 2}?
1/15
Two letters picked without replacement from {v: 3, w: 2, q: 1, d: 7, x: 4, b: 1}. Give prob of picking 2 x.
2/51
Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 3, i: 1}.
1/2
Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn.
1
Two letters picked without replacement from vwvvww. Give prob of picking 2 v.
1/5
Two letters picked without replacement from {i: 5, a: 7}. Give prob of picking 1 i and 1 a.
35/66
What is prob of picking 1 u and 1 c when two letters picked without replacement from mimumummmcmiui?
3/91
Two letters picked without replacement from uzutpaatupuuztazu. What is prob of picking 1 u and 1 z?
9/68
Calculate prob of picking 2 o and 1 s when three letters picked without replacement from orrssrsroso.
4/55
What is prob of picking 3 p when three letters picked without replacement from {p: 6, r: 2}?
5/14
What is prob of picking 1 h and 2 s when three letters picked without replacement from {n: 2, z: 1, s: 2, b: 1, h: 2, x: 4}?
1/110
What is prob of picking 1 i and 2 t when three letters picked without replacement from {t: 3, i: 17}?
17/380
Calculate prob of picking 2 x and 1 j when three letters picked without replacement from qbjbczxx.
1/56
What is prob of picking 3 j and 1 l when four letters picked without replacement from ljlllljjljl?
14/165
Two letters picked without replacement from ffhifumiiuhuufuhfh. Give prob of picking 2 u.
10/153
Two letters picked without replacement from gigoiisfgggfgggff. What is prob of picking 1 g and 1 f?
4/17
Two letters picked without replacement from csqcqtcqqpdcdqspqd. Give prob of picking 1 p and 1 t.
2/153
Calculate prob of picking 1 t and 2 a when three letters picked without replacement from taacb.
1/10
Calculate prob of picking 2 j and 1 h when three letters picked without replacement from dsdfsijdjssdhdi.
1/455
What is prob of picking 2 b when two letters picked without replacement from {p: 3, b: 9}?
6/11
Four letters picked without replacement from {i: 1, m: 2, o: 8, c: 8, l: 1}. What is prob of picking 1 c, 1 l, and 2 o?
224/4845
Two letters picked without replacement from xxxfxxfdpxxmxffxf. Give prob of picking 1 d and 1 m.
1/136
What is prob of picking 3 y and 1 w when four letters picked without replacement from wyylhyoy?
2/35
What is prob of picking 3 k when three letters picked without replacement from kkkkkkwkkwk?
28/55
Four letters picked without replacement from jtuutjjtttj. Give prob of picking 3 t and 1 j.
4/33
Three letters picked without replacement from {o: 5, n: 11}. Give prob of picking 2 n and 1 o.
55/112
Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {w: 3, p: 2, k: 4, b: 10}.
20/171
Four letters picked without replacement from {p: 2, u: 1, b: 1, g: 3}. What is prob of picking 1 b and 3 g?
1/35
What is prob of picking 2 q when two letters picked without replacement from {x: 4, v: 7, q: 2, w: 1, f: 1}?
1/105
Calculate prob of picking 1 m, 1 w, and 2 j when four letters picked without replacement from jmwyjjmj.
6/35
Four letters picked without replacement from {u: 5, d: 3}. Give prob of picking 3 d and 1 u.
1/14
What is prob of picking 1 y and 1 g when two letters picked without replacement from ghyyhymrgg?
1/5
What is prob of picking 1 f and 1 m when two letters picked without replacement from {f: 1, m: 3}?
1/2
Four letters picked without replacement from hbhbwhbbwjxwbhhjwjwh. Give prob of picking 3 b and 1 x.
2/969
Four letters picked without replacement from nnnnnn. What is prob of picking 4 n?
1
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from yyxxtypttxppttttpyp.
7/57
What is prob of picking 1 b and 1 j when two letters picked without replacement from {k: 2, y: 3, j: 1, b: 1, o: 6}?
1/78
Four letters picked without replacement from llbblbblbllllllvllll. Give prob of picking 1 l and 3 b.
28/969
What is prob of picking 1 t and 2 o when three letters picked without replacement from toootttotottkot?
24/91
Four letters picked without replacement from {u: 2, w: 1, n: 2}. Give prob of picking 2 u, 1 n, and 1 w.
2/5
Calculate prob of picking 1 y and 2 r when three letters picked without replacement from rrrrrrriiilyyrryyir.
60/323
What is prob of picking 1 q and 1 t when two letters picked without replacement from {t: 1, e: 4, q: 1, r: 5}?
1/55
Three letters picked without replacement from hxhxhh. Give prob of picking 2 h and 1 x.
3/5
Two letters picked without replacement from {s: 1, d: 1, w: 1, x: 3, o: 1}. What is prob of picking 1 d and 1 o?
1/21
What is prob of picking 1 x, 1 i, 1 g, and 1 a when four letters picked without replacement from {a: 1, i: 1, y: 2, x: 1, g: 1, r: 1}?
1/35
Three letters picked without replacement from dddoododdo | {
"pile_set_name": "DM Mathematics"
} |
y 11423.
42
What is the remainder when 7856 is divided by 35?
16
What is the remainder when 2213 is divided by 250?
213
What is the remainder when 2395 is divided by 34?
15
What is the remainder when 93894 is divided by 22?
20
Calculate the remainder when 12411 is divided by 6192.
27
Calculate the remainder when 138123 is divided by 11.
7
Calculate the remainder when 309597 is divided by 15.
12
Calculate the remainder when 5836 is divided by 733.
705
What is the remainder when 12665 is divided by 6329?
7
Calculate the remainder when 1126512 is divided by 68.
24
What is the remainder when 330107 is divided by 1260?
1247
What is the remainder when 74093 is divided by 37040?
13
What is the remainder when 25364 is divided by 146?
106
Calculate the remainder when 6696 is divided by 100.
96
Calculate the remainder when 30689 is divided by 4331.
372
What is the remainder when 223634 is divided by 59?
24
Calculate the remainder when 1178405 is divided by 387.
377
What is the remainder when 100278 is divided by 20053?
13
What is the remainder when 2865615 is divided by 42?
39
What is the remainder when 141538 is divided by 73?
64
Calculate the remainder when 1118230 is divided by 1116.
1114
Calculate the remainder when 40127 is divided by 176.
175
Calculate the remainder when 2346 is divided by 198.
168
Calculate the remainder when 6591 is divided by 6446.
145
What is the remainder when 5062 is divided by 4938?
124
Calculate the remainder when 139516 is divided by 414.
412
What is the remainder when 1289393 is divided by 644692?
9
Calculate the remainder when 1564 is divided by 1184.
380
Calculate the remainder when 24059 is divided by 350.
259
What is the remainder when 2674 is divided by 4?
2
Calculate the remainder when 133209 is divided by 184.
177
What is the remainder when 94126 is divided by 296?
294
Calculate the remainder when 22425 is divided by 1732.
1641
Calculate the remainder when 2715 is divided by 665.
55
What is the remainder when 119081 is divided by 101?
2
What is the remainder when 193002 is divided by 571?
4
Calculate the remainder when 26114 is divided by 2007.
23
Calculate the remainder when 41455 is divided by 298.
33
Calculate the remainder when 31031 is divided by 2387.
0
What is the remainder when 4954 is divided by 1236?
10
What is the remainder when 108037 is divided by 10802?
17
What is the remainder when 1754 is divided by 15?
14
What is the remainder when 19908 is divided by 1658?
12
What is the remainder when 573 is divided by 549?
24
What is the remainder when 464405 is divided by 154789?
38
Calculate the remainder when 1825171 is divided by 114073.
3
What is the remainder when 9765 is divided by 1632?
1605
What is the remainder when 1391 is divided by 36?
23
Calculate the remainder when 86637 is divided by 818.
747
What is the remainder when 932989 is divided by 158?
157
Calculate the remainder when 55000 is divided by 470.
10
Calculate the remainder when 15091 is divided by 14.
13
What is the remainder when 1301908 is divided by 25?
8
What is the remainder when 49138 is divided by 364?
362
What is the remainder when 13194 is divided by 197?
192
Calculate the remainder when 13379 is divided by 3288.
227
Calculate the remainder when 89958 is divided by 5.
3
What is the remainder when 278268 is divided by 327?
318
What is the remainder when 8794 is divided by 263?
115
What is the remainder when 1088501 is divided by 481?
479
What is the remainder when 13786 is divided by 6833?
120
What is the remainder when 484125 is divided by 16?
13
Calculate the remainder when 134441 is divided by 5.
1
Calculate the remainder when 156957 is divided by 80.
77
What is the remainder when 308325 is divided by 232?
229
Calculate the remainder when 1640581 is divided by 9.
7
Calculate the remainder when 91881 is divided by 124.
121
Calculate the remainder when 303028 is divided by 90.
88
Calculate the remainder when 69349 is divided by 170.
159
What is the remainder when 4472 is divided by 4460?
12
What is the remainder when 7359 is divided by 309?
252
Calculate the remainder when 15916 is divided by 73.
2
Calculate the remainder when 6043 is divided by 65.
63
What is the remainder when 41176 is divided by 264?
256
What is the remainder when 18255 is divided by 24?
15
Calculate the remainder when 68939 is divided by 25.
14
What is the remainder when 68009 is divided by 98?
95
Calculate the remainder when 7582 is divided by 9.
4
Calculate the remainder when 82311 is divided by 128.
7
Calculate the remainder when 34471 is divided by 48.
7
Calculate the remainder when 14271 is divided by 2004.
243
What is the remainder when 54540 is divided by 2272?
12
Calculate the remainder when 5099 is divided by 18.
5
Calculate the remainder when 201598 is divided by 360.
358
What is the remainder when 10691 is divided by 602?
457
What is the remainder when 17628 is divided by 640?
348
Calculate the remainder when 19930 is divided by 711.
22
Calculate the remainder when 160 is divided by 128.
32
Calculate the remainder when 5682 is divided by 270.
12
What is the remainder when 4298 is divided by 4199?
99
Calculate the remainder when 49702 is divided by 189.
184
Calculate the remainder when 18483 is divided by 2682.
2391
Calculate the remainder when 669606 is divided by 290.
286
Calculate the remainder when 87806 is divided by 343.
341
Calculate the remainder when 44042 is divided by 10992.
74
What is the remainder when 161165 is divided by 23?
4
What is the remainder when 89650 is divided by 1042?
38
What is the remainder when 56640 is divided by 1618?
10
What is the remainder when 17134 is divided by 1603?
1104
Calculate the remainder when 46035 is divided by 1023.
0
Calculate the remainder when 14533 is divided by 3614.
77
Calculate the remainder when 22570 is divided by 175.
170
What is the remainder when 2463 is divided by 1102?
259
What is the remainder when 3553 is divided by 10?
3
Calculate the remainder when 58591 is divided by 8368.
15
Calculate the remainder when 1094 is divided by 247.
106
Calculate the remainder when 445803 is divided by 2133.
6
What is the remainder when 28912 is divided by 7223?
20
Calculate the remainder when 235187 is divided by 78392.
11
Calculate the remainder when 178463 is divided by 29.
26
Calculate the remainder when 2866 is divided by 1405.
56
What is the remainder when 3741 is divided by 471?
444
Calculate the remainder when 4289542 is divided by 42.
40
Calculate the remainder when 4691 is divided by 250.
191
What is the remainder when 176027 is divided by 11000?
27
Calculate the remainder when 179183 is divided by 89588.
7
What is the remainder when 19226 is divided by 3?
2
Calculate the remainder when 590 is divided by 198.
194
What is the remainder when 1865 is divided by 184?
25
What is the remainder when 1278 is divided by 705?
573
Calculate the remainder when 37895 is divided by 9.
5
What is the remainder when 155628 is divided by 16?
12
Calculate the remainder when 96424 is divided by 33.
31
Calculate the remainder when 9780 is divided by 645.
105
Calculate the remainder when 728063 is divided by 948.
947
What is the remainder when 4105 is divided by 574?
87
Calculate the remainder when 18614 is divided by 549.
497
What is the remainder when 94107 is divided by 202?
177
Calculate the remainder when 2562981 is divided by 98576.
5
What is the remainder when 25567 is divided by 12770?
27
Calculate the remainder when 25535 is divided by 56.
55
What is the remainder when 4283 is divided by 1408?
59
Calculate the remainder when 36754 is divided by 99.
25
What is the remainder when 1253 is divided by 239?
58
Calculate the remainder when 157295 is divided by 242.
237
Calculate the remainder when 834 is divided by 232.
138
What is the remainder when 75430 is divided by 168?
166
Calculate the remainder when 20927 is divided by 27.
2
What is the remainder when 6041348 is divided by 633?
629
Calculate the remainder when 14508 is divided by 4826.
30
What is the remainder when 813 is divided by 101?
5
Calculate the remainder when 28123 is divided by 5622.
13
Calculate the remainder when 2824 is divided by 596.
440
Calculate the remainder when 98680 is divided by 43.
38
What is the remainder when 21665 is divided by 4 | {
"pile_set_name": "DM Mathematics"
} |
- 9. What is the units digit of z?
2
Suppose 0 = 3*x - 2*x - 4. Let v(l) = 3*l - 118 + 2*l + 116. What is the tens digit of v(x)?
1
Suppose 268*z = 257*z + 10670. What is the tens digit of z?
7
Let q(f) = -f**3 - 2*f**2 + 19*f + 7. What is the hundreds digit of q(-9)?
4
Suppose -4*a + 2 + 2 = 0. Suppose 0 = -0*u - u - a. Let p = u + 3. What is the units digit of p?
2
Let l(s) = -s**2 + 13*s + 13. Let r be l(14). What is the units digit of r - ((-3)/(-6))/((-3)/1140)?
9
Suppose -4*o + 5*o - 5*v = 2, -4*o = -v - 8. Suppose n - b = 70, -4*b - 138 = -4*n + o*n. What is the tens digit of n?
7
Let l(h) = 3*h**3 - 3*h**2 + 3*h - 2. Let q = -30 - -24. Let b be (-5)/(q/4 + -1). What is the units digit of l(b)?
6
What is the units digit of 9/(2/(20/(-15))) - -1727?
1
Suppose 2*q - 3*q + 136 = -5*c, 2*q + c - 261 = 0. Let l = q - 55. What is the tens digit of l?
7
Let k = -95 - -54. Let t = -29 - k. What is the units digit of 2/6 + 824/t?
9
Suppose 15*r + 11 = 16*r. Suppose -r*a = -3*a - 48. What is the units digit of a?
6
Suppose 18 = t + t. Suppose -3*o + t = 0, y + 2*o = -2*o + 18. Suppose -y*r + 4 = -4*r. What is the units digit of r?
2
Suppose 2*x = x - 2*g + 2254, 0 = -5*x - 2*g + 11270. What is the thousands digit of x?
2
Let w = 13 - -2. Let x(t) = -14 + 10 + t**3 - 13*t - 14*t**2 + 11. What is the units digit of x(w)?
7
Suppose 4 - 8 = 4*q. What is the tens digit of -115*(5 + q + -5)?
1
Let m be 9/15 + (-10)/(-25). What is the units digit of (5 - m) + -1 - -33?
6
Suppose 3921 = 15*m - 12*m. What is the units digit of m?
7
Let w be (-39)/(-26) - (-1)/(-2)*-61. Suppose 0 = x + 4*d - 61, w + 39 = x - d. What is the units digit of x?
9
What is the tens digit of (-1)/(-6) - 60802/(-84)?
2
Suppose -3*g = -l + 230, -2*l + 3*g - 2*g = -485. What is the units digit of l?
5
Let p = 3796 - -1192. What is the units digit of p?
8
Let l(p) = -p**3 - 10*p**2 + 3. Let t be l(-10). Suppose t*i = i + 8. Suppose -i*o + 76 = 12. What is the units digit of o?
6
Suppose -298*r + 293*r = -11600. What is the tens digit of r?
2
Suppose -7*n = -2*n - 30. Let v be n/4 + (-25)/(-10). Suppose 0 = 3*t + 4*y - 36, 3*t - 5 = 5*y + v. What is the units digit of t?
8
Suppose 11*n - 3*n = -448. Let j be (-1 + (-3)/(-21))*n. Suppose 4*a - 68 = j. What is the tens digit of a?
2
Suppose -3*m = 3*u - 45, -3*m - 3*u + 48 = u. Let v = m + -9. Suppose -6 = -v*a + a. What is the units digit of a?
3
Let c = 35 - -27. Let u = c + -22. Let t = 65 - u. What is the tens digit of t?
2
Suppose 4*y + 3*z = 6*z + 6350, z = -5*y + 7947. What is the units digit of y?
9
What is the thousands digit of (9/(-2))/(60/(-17680)) + -2?
1
Let h(u) = u + 2. Let o be h(3). Let y = -30 + 51. Suppose -o*n + 79 = -y. What is the tens digit of n?
2
Let y be (-126)/6*-1*1. Let f = 12 - y. Let v = f + 16. What is the units digit of v?
7
Suppose 0 = -24*p + 19*p + 530. Suppose t - p = -3*a, 4*a = -t - 54 + 196. What is the units digit of a?
6
Let y(w) = 3*w**3 + w**2 + 4*w - 4. Let c(l) = -4*l - 2. Let z be c(-1). What is the tens digit of y(z)?
3
Suppose 1263 = -3*p + 7*p - 3*g, -1545 = -5*p - 3*g. Let o = p + -168. What is the units digit of o?
4
Suppose -26 + 5 = -7*r. Suppose 0 = -w - 4*z + 38, -5*w + r*z + z + 214 = 0. What is the tens digit of w?
4
Suppose 4 - 21 = -17*y. Suppose 3*l = -3*k + 399, -3*l = 5 + y. What is the units digit of k?
5
Let l = 20 + -20. Suppose y + 3*y = -3*z + 431, l = 5*z + y - 724. What is the hundreds digit of z?
1
What is the tens digit of (-4)/((-12)/669) - 0?
2
Let b(z) be the second derivative of z**5/20 + 13*z**4/12 - z**3/2 + 5*z**2 + 4*z. What is the units digit of b(-13)?
9
Suppose -23 = 2*d - 43. Let c = 29 - d. What is the units digit of c?
9
Let u be -16*1/(0 + -4). Suppose -31 = u*n - 223. What is the units digit of n?
8
Let l be (-45)/(-60)*(-8)/(-2). Suppose -5*a - l*o = -144, 0 = -4*a - 5*o + 116 + 7. Suppose 1 = -2*k + a. What is the units digit of k?
3
Suppose 2 = t + 3*o, 3*t + 4*o + 1 = 7. Suppose -11*v + 0 + 22 = 0. What is the tens digit of (12 - (v + 0)) + t?
1
Let c = 44 + -34. Let u = c - -41. What is the units digit of u?
1
Let r(q) = -9*q - 13. Let c be r(-13). Suppose -3*p = p - c. What is the tens digit of 3/((-3)/3) + p?
2
Let l = 223 - -220. Let k = l - 241. What is the hundreds digit of k?
2
Let n be -208*(3 + (-14)/4). Suppose 5*x = -l + 96, -328 = -3*l + x - n. What is the units digit of l?
6
Let v = -927 + 2427. What is the tens digit of v?
0
Suppose -8*v = -15688 - 3472. What is the tens digit of v?
9
Let l(j) = j + 5. Let r be l(-4). Suppose 0 = b + r + 1. What is the units digit of (-6 - b)/(-4)*25?
5
Let b be ((-10)/(-40))/((5/4)/5). What is the tens digit of 1/(70/68 - b)?
3
Let p be (2/4)/((-3)/(-24)). Suppose -p = -v + 1. What is the units digit of 1 - ((v - 3) + -7)?
6
Suppose -3*i = 4*v + 17, 4*i + 40 = v - 8. Let p(q) = 18*q + 2. Let t be p(-2). Let a = i - t. What is the units digit of a?
3
Let x(g) = -4*g - 20. Let z(l) be the second derivative of -l**2/2 + 6*l. Let r(j) = -2*x(j) + 44*z(j). What is the tens digit of r(2)?
1
Suppose 4 - 2 = q. Suppose 111 = 2*w + n + q, 5*w = -3*n + 270. What is the units digit of w?
7
Suppose -4*i + 7864 = -2*w, 0 = 3*i + i - w - 7860. What is the tens digit of i?
6
Let f = 39 + -11. Let q = -17 + f. Suppose q*n - 15*n = -68. What is the tens digit of n?
1
Let j = 15 + -8. Suppose -j*n = -3*n - 216. What is the tens digit of n?
5
Let i(z) = -z**3 + 46. Let u be 2/9 - (-261)/(-81). Let b be 5 + -6 + (-3)/u. What is the tens digit of i(b)?
4
Suppose 0 = -11*b + 31*b - 7040. What is the hundreds digit of b?
3
Suppose 3*s + 4*b - 14732 = -5687, -15089 = -5*s - 2*b. What is the units digit of s?
9
Let i(q) = q**2 - 6*q + 1633. What is the hundreds digit of i(0)?
6
Suppose s = -0 + 12. Let r = s - -3. Let m = -7 + r. What is the units digit of m?
8
Let x = 2 - -1. Let h be (-4)/(-6) + 212/6. Suppose 0 = 3*c + 4*l - h, 0*l = c - x*l - 25. What is the tens digit of c?
1
Let i be 2/(-6) - (-86)/6. Suppose -t + i = -22. What is the units digit of t?
6
What is the tens digit of 1572/(-21)*77/(-22)?
6
Let s = -2 + 2. Let b be (132/10 - 2/10) + -3. Suppose s = 2*h - 4*r + 10, -3*h + 2*r = h - b. What is the units digit of h?
5
Let n(o) = -54*o + 613. What is the hundreds digit of n(-57)?
6
Let j = -125 + 116. What is the units digit of (-21)/(-189) + (-359)/j?
0
Suppose -130*u + 5733 = 2*m - 131*u, 3*m - 8594 = -4*u. What is the units digit of m?
6
Suppose 6*z - 3*z + 43 = 2*d, 18 = d - 5*z. Suppose 0 = -4*p + 4, d - 5 = c + 2*p. What is the tens digit of c?
1
Let j = 1 + 10. Let c = j + -19. Let n = c + 13. What is the units digit of n?
5
Let h = -411 + 49. What is the units digit of (h/6 - 2/12)*-2?
1
Suppose 10*b = -2691 + 10661. What is the units digit of b?
7
Suppose 6*l + 13634 = 23*l. What is the tens digit of l?
0
Suppose 2 = -4*r + 102. Let m be 5/r*5 + -4. Let d = m - -15. What is the units digit of d?
2
Let t be 3*(3 + 0)*-1. What is the tens digit of 318 + t + 4 + -5?
0
Let h = -12 + 2. Let i be (-4)/h*(-2 + 12). Suppose i*z - 107 = -15. What is the units digit of z?
3
Let a be 6 + -1 + -2 + 0. Let i = -34 - -81. Suppose b + 23 = p, a*p - i - 16 = b. What is the tens digit of p?
2
Suppose 0*j + r = -2*j + 1665, 2*j - 1670 = -2*r. What is the hundreds digit of j?
8
Suppose -43 = 2*q + 3*q - k, 4*q + 17 = -5*k. What is the tens digit of (-2 - q)*(-34)/(-3)?
6
Let t = -475 - -329. Suppose -g - 8 - 96 = 0. Let f = g - t. What is the tens digit of f?
4
Let t(f) = 5*f**2 - 6*f**2 - 10*f - 8 + 0*f. Let s(n) = n**2 + 8*n. Let o be s(-7). What is the tens digit of t(o)?
1
What is the thousands digit of (-2 - 668)/(4*(-7)/56)?
1
Suppose 2*p = 3*z + 2, p - 12 = -2*p. Suppose 142 = z*h - 44. What is the units digit of h?
3
Let f be 10/25 - (-334)/(-10). Suppose -22 = 5*x + 18. Let s = x - f. What is the tens digit of s?
2
Let x(u) be the third derivative of 0 + 1/120*u**6 + 1/12*u**5 - 1/4*u**4 + 0*u**3 + 0*u - 7*u**2. What is the units digit of x(-5)?
0
Let a be 15/7 - (-4)/(-28). Suppose -3*i + 15 = -p, -2*i - 1 + 11 = a*p. Suppose -i*b = -9*b + 116. What is the units digit of b?
9
Let o be (11 + -8)*4/3. Suppose 0 = 2*r + 4*l + 5 + 5, 2*r - o*l = 14. Let h(a) = 17*a - 1. What is the units digit of h(r)?
6
L | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 94352801?
94352801
What are the prime factors of 543730931?
543730931
What are the prime factors of 226505180?
2, 5, 11, 1029569
List the prime factors of 52860471.
3, 101, 174457
What are the prime factors of 159835479?
3, 17, 3134029
List the prime factors of 46483988.
2, 37, 89, 3529
What are the prime factors of 1097734647?
3, 9413, 38873
List the prime factors of 6207447.
3, 23, 89963
What are the prime factors of 35370845?
5, 31, 228199
What are the prime factors of 39059390?
2, 5, 647, 6037
What are the prime factors of 310969968?
2, 3, 863, 7507
List the prime factors of 43098179.
17, 2535187
List the prime factors of 475048521.
3, 52783169
What are the prime factors of 1295008927?
4909, 263803
What are the prime factors of 1614211816?
2, 7, 137, 210403
List the prime factors of 309993865.
5, 229, 270737
What are the prime factors of 1164083982?
2, 3, 19, 853, 11971
What are the prime factors of 893867806?
2, 13, 19, 1809449
What are the prime factors of 19295709?
3, 47, 136849
List the prime factors of 61758341.
19, 41, 79279
What are the prime factors of 2942202257?
17, 173070721
List the prime factors of 417983290.
2, 5, 41798329
List the prime factors of 1767359092.
2, 441839773
List the prime factors of 159805611.
3, 7, 362371
List the prime factors of 22697976.
2, 3, 7, 19301
What are the prime factors of 1025726936?
2, 13, 9862759
What are the prime factors of 409147236?
2, 3, 43, 113, 2339
What are the prime factors of 344278014?
2, 3, 57379669
List the prime factors of 86123894.
2, 43061947
List the prime factors of 2362064917.
42359, 55763
What are the prime factors of 78745753?
78745753
List the prime factors of 1148808483.
3, 127645387
List the prime factors of 380622668.
2, 19, 5008193
What are the prime factors of 500417854?
2, 23, 3067, 3547
What are the prime factors of 347014062?
2, 3, 19, 31, 71, 461
List the prime factors of 61556607.
3, 7, 31, 43, 733
List the prime factors of 1154700471.
3, 19, 499, 40597
What are the prime factors of 15135792?
2, 3, 7, 107, 421
List the prime factors of 293025976.
2, 29, 53, 23831
What are the prime factors of 1084071942?
2, 3, 19, 1193, 2657
What are the prime factors of 3940553097?
3, 13, 17, 660391
List the prime factors of 3306531113.
1117, 2960189
List the prime factors of 102142825.
5, 181, 22573
What are the prime factors of 1835348413?
461, 1019, 3907
What are the prime factors of 6510386912?
2, 17, 163, 73421
What are the prime factors of 156165839?
1597, 97787
What are the prime factors of 103361523?
3, 34453841
List the prime factors of 23437191.
3, 29, 269393
What are the prime factors of 32884749?
3, 17, 37, 157
What are the prime factors of 164502731?
164502731
List the prime factors of 642458263.
83, 7740461
List the prime factors of 167110694.
2, 83555347
List the prime factors of 1810172328.
2, 3, 75423847
List the prime factors of 470156016.
2, 3, 11, 151, 5897
What are the prime factors of 1714970737?
1714970737
What are the prime factors of 24152570?
2, 5, 13, 185789
What are the prime factors of 295045969?
295045969
What are the prime factors of 2750058551?
1217, 2259703
List the prime factors of 103996703.
607, 171329
List the prime factors of 2147347804.
2, 7, 23, 29, 31, 3709
What are the prime factors of 15202067?
15202067
List the prime factors of 80143311.
3, 19, 131, 10733
List the prime factors of 3043947.
3, 1014649
What are the prime factors of 40534230?
2, 3, 5, 11, 113, 1087
What are the prime factors of 4990463?
4990463
What are the prime factors of 721881907?
137, 5269211
What are the prime factors of 496397886?
2, 3, 82732981
List the prime factors of 86502936.
2, 3, 13, 17, 47, 347
What are the prime factors of 88421838?
2, 3, 71, 207563
List the prime factors of 1483900854.
2, 3, 247316809
List the prime factors of 68403754.
2, 4447, 7691
List the prime factors of 71824990.
2, 5, 103, 137, 509
What are the prime factors of 630187239?
3, 11, 157823
What are the prime factors of 99278660?
2, 5, 13, 381841
List the prime factors of 690828824.
2, 7, 373, 33073
List the prime factors of 450829827.
3, 7, 2385343
What are the prime factors of 383298386?
2, 193, 993001
List the prime factors of 389201647.
389201647
What are the prime factors of 113160132?
2, 3, 1047779
List the prime factors of 93824071.
11, 17, 19, 26407
List the prime factors of 1448285501.
13, 111406577
What are the prime factors of 3781957?
71, 53267
What are the prime factors of 78521414?
2, 19, 401, 5153
List the prime factors of 6377070332.
2, 71, 22454473
What are the prime factors of 1655643171?
3, 7, 13, 6064627
List the prime factors of 378679237.
378679237
List the prime factors of 260487075.
3, 5, 23, 151007
List the prime factors of 151293891.
3, 7, 7204471
What are the prime factors of 351392368?
2, 227, 96749
List the prime factors of 100175147.
443, 226129
List the prime factors of 71467680.
2, 3, 5, 148891
What are the prime factors of 60629087?
31, 1955777
List the prime factors of 1226664950.
2, 5, 7, 3504757
What are the prime factors of 21495973?
17, 19, 61, 1091
What are the prime factors of 72828458?
2, 36414229
What are the prime factors of 2380288174?
2, 11, 223, 653, 743
List the prime factors of 8636332.
2, 2159083
List the prime factors of 94267042.
2, 103, 457607
List the prime factors of 270539087.
7, 13, 23, 61, 163
What are the prime factors of 572304553?
67, 839, 10181
List the prime factors of 21388983.
3, 7, 11, 92593
List the prime factors of 330169206.
2, 3, 17, 190409
List the prime factors of 1186426399.
1186426399
What are the prime factors of 214004558?
2, 23, 4652273
What are the prime factors of 337185116?
2, 719, 117241
List the prime factors of 259902342.
2, 3, 7, 1153, 1789
List the prime factors of 299919748.
2, 74979937
List the prime factors of 55554156.
2, 3, 7, 89, 2477
List the prime factors of 17992044.
2, 3, 7, 7933
List the prime factors of 3534978752.
2, 55234043
What are the prime factors of 30278481?
3, 47, 214741
What are the prime factors of 1306432920?
2, 3, 5, 13, 547, 1531
What are the prime factors of 39201476?
2, 23, 426103
List the prime factors of 2455693019.
13, 19, 9942077
List the prime factors of 97307278.
2, 383, 127033
List the prime factors of 17184800.
2, 5, 21481
What are the prime factors of 2143898880?
2, 3, 5, 558307
List the prime factors of 462005987.
18233, 25339
List the prime factors of 7514635.
5, 229, 6563
What are the prime factors of 288949396?
2, 701, 103049
What are the prime factors of 21874174?
2, 7, 227, 6883
What are the prime factors of 112984556?
2, 23, 769, 1597
What are the prime factors of 728739574?
2, 719, 506773
List the prime factors of 282843864.
2, 3, 347, 11321
List the prime factors of 1010168037.
3, 389, 96179
List the prime factors of 152160559.
307, 495637
List the prime factors of 24306620.
2, 5, 13, 93487
List the prime factors of 1560118333.
1560118333
List the prime factors of 130798443.
3, 127, 343303
What are the prime factors of 1722060004?
2, 7, 4457, 13799
What are the prime factors of 112583817?
3, 4169771
List the prime factors of 1383867843.
3, 461289281
What are the prime factors of 6706435773?
3, 83, 2089, 12893
What are the prime factors of 1971851255?
5, 11, 19, 31, 60869
List the prime factors of 12699378.
2, 3, 705521
List the prime factors of 17750813.
29, 53, 11549
What are the prime factors of 59284277?
13, 829, 5501
List the prime factors of 6310900.
2, 5, 223, 283
List the prime factors of 346213244.
2, 13, 6657947
List the prime factors of 1981022909.
1981022909
List the prime factors of 2147170204.
2, 127, 4226713
List the prime factors of 550297046.
2, 13, 21165271
What are the prime factors of 87791980?
2, 5, 659, 6661
List the prime factors of 963815448.
2, 3, 307, 130811
List the prime factors of 5534603545.
5, 103, 10746803
List the prime factors of 55716613.
149, 373937
What are the prime factors of 101958388?
2, 7, 3641371
List the prime factors of 409840513.
797, 514229
List the prime factors of 52211932.
2, 23, 59, 9619
List the prime factors of 5835767863.
19, 307145677
List the prime factors of 570036910.
2, 5, 57003691
What are the prime factors of 7422168936?
2, 3, 7, 13, 47, 72307
List the prime factors of 58733 | {
"pile_set_name": "DM Mathematics"
} |
12/54 - 3/((-270)/(-650)). Let k = -1 - -2. What is the closest to k in 1, 2, v?
1
Let k = 75 - 527/7. Which is the closest to k? (a) 0 (b) 1/4 (c) -1
a
Let o be 4 - (1368/357 - (-10)/35). What is the nearest to 3 in -2, o, 0, -1/2?
0
Let s = 1151/2965 + 7/593. Let d be 8/(-6) + (-2)/(-3). Let u be 0 - -2 - 9/5. What is the closest to s in u, d, -2/7?
u
Let q = -0.0942 - -3.0942. Let y be 3*(1 - 0 - 2). Let z = -11/3 + 4. What is the nearest to z in -5, y, q?
q
Let k = -151/70 - 12/35. Suppose 0 = -3*z + 4*l + 20, 314*z - 25 = 315*z + 5*l. What is the closest to k in z, 5, -2?
-2
Suppose -4*q - 2*q = 108. Let x be (q/(-48))/((-27)/12). Which is the nearest to -1? (a) x (b) 7 (c) 1/5
a
Let d = 95/2 - 47. Let x = 0.09 - -0.09. Let o = x - -0.82. Which is the nearest to 1/6? (a) d (b) -1/5 (c) o
a
Let z = -5.82 + 5.92. What is the nearest to 1 in 1, -2/15, z, 5?
1
Let u = 2.18 + -1.88. Which is the closest to 2? (a) -1/7 (b) 0.2 (c) u
c
Let t = 3.8 - 27.8. Let i = -12 - t. Let f = i - 16. Which is the nearest to f? (a) 1 (b) 3 (c) 0.5
c
Let d be (4/(-10))/(144/270). What is the nearest to 0 in -2, -5, -3, d?
d
Let l = 8394 - 8393.6. Let w be 2/6 + 8/(-18). What is the closest to -0.05 in 1, l, w?
w
Let i = 0.58 - 0.509. Let l = -2.071 + i. What is the closest to -2/5 in 1, l, 4?
1
Let o = 0.1 - 4.1. Let g = -0.0804 - 0.3196. Which is the closest to -5? (a) o (b) g (c) 0.1
a
Let x = -14.1 + 14.1. Let h = 8 + -10. Let p = -0.8 - -1. Which is the nearest to h? (a) x (b) p (c) -1/4
c
Let z = 45/2 - 319/14. Let n = -2616.7 + 2617. What is the nearest to z in n, -0.5, 5?
-0.5
Let v = 2 + -2. Let s = 3.348 - 0.108. Let d = -0.76 - s. Which is the closest to v? (a) -5 (b) d (c) -3
c
Let w = -103 - -99. Which is the closest to -3? (a) w (b) 1/10 (c) -0.1
a
Let v = 48/73 - 190/511. Let w = -7 - 8. Which is the nearest to -1/4? (a) w (b) 0 (c) v
b
Let o = 0 - -0.03. Let t be (3 - 99/36)/(2 - 3). What is the nearest to -2/7 in o, t, 0.4?
t
Let m = -0.2 + 0.4. Let t = -2.464 - -2.164. Which is the nearest to t? (a) 0 (b) m (c) -1
a
Let n = 13/9 - 10/9. Let t = -5256 + 5255.9. Which is the nearest to 9? (a) -3/4 (b) t (c) n
c
Let f be (1/8)/((-63)/42)*2. Which is the nearest to f? (a) -5 (b) -2 (c) -7
b
Let h be (-2)/(-3)*(-24)/40. Let m = -4.07 + 0.07. Let i be 6/(-39) - 2/(52/(-17)). Which is the nearest to i? (a) h (b) m (c) 1/5
c
Let j be -3*(-1 + 96/(-28) + 4). Which is the closest to 0.2? (a) -0.5 (b) j (c) -3
a
Let d be 8/(-4)*(-8 + 243/30). What is the nearest to 0 in d, 5, -4, -0.3?
d
Let n = -145 + 244. Let k = n - 104. Let b = -1 - 0. What is the nearest to b in 0, 5/4, k?
0
Suppose 0*p - 2*p - 2*p = 0. What is the closest to 0.1 in p, -0.5, -1/9?
p
Let p be ((-45)/18)/((-195)/52). Which is the nearest to p? (a) -1.7 (b) 4 (c) -4
a
Let r = -39 - -39.3. Which is the nearest to 2/7? (a) 9/4 (b) r (c) -1/4 (d) -2
b
Let d(u) = 6*u - 42. Let q be d(9). Suppose 0*p = 4*p + q. Which is the nearest to -4? (a) p (b) -4 (c) -6
b
Let n be 6 + 156/(-15) + 5 + -1. Which is the nearest to 10? (a) n (b) -3/7 (c) 3
c
Let w = -413 - -412.7. Which is the closest to w? (a) -2/11 (b) 0 (c) -1/2
a
Let w be (3/165*6)/(21/35). What is the closest to 1 in -2/13, 0.5, w?
0.5
Suppose f + 9 = 4*f. Let j = -5.3 - 1.5. Let z = 7 + j. What is the closest to z in f, 2, -0.5?
-0.5
Let o = -658 + 653. Which is the nearest to -13? (a) 0.2 (b) -2/7 (c) o
c
Suppose -5*t - 27 = 4*d, -5*t - 1 - 30 = 2*d. Suppose 0*v - 3 = -v. Which is the closest to t? (a) v (b) -0.3 (c) -2/7
b
Let o = -2.1 - -2. Let x(r) = -2*r**2 + 3*r - 2. Let s be x(1). Let q be ((-24)/(-30))/(s/5). Which is the closest to o? (a) 5 (b) 0.1 (c) q
b
Let v = 0.598 + -2.598. Let n = -97.57 - -97. Let i = n + -0.03. Which is the closest to 0? (a) 1 (b) i (c) v
b
Let y = -1.83 + 0.83. Which is the nearest to 0? (a) -4 (b) -31 (c) y
c
Let r = 201.5 + -201. What is the nearest to -0.2 in 0.1, r, 0.6?
0.1
Let z be (2 - 21/3 - -2)*2. Let u be 115/(-60) - 0 - z/9. What is the closest to -1 in -3, u, 0.5?
u
Let n(s) = 8*s**2 + s**3 - 5 + 6*s + 0*s + 2*s**2. Let z be n(-10). Let k be 0 + 2 + z/30. Which is the nearest to 1? (a) -1/2 (b) 3 (c) k
c
Let r = 496 - 495.9. Which is the closest to -1/3? (a) r (b) 18 (c) 6
a
Suppose -2*q - 5 = -3*q. Let a = -0.132 + 0.501. Let k = -0.031 - a. What is the closest to 3 in q, k, 3?
3
Let v be (-1 - 3/18)*12/(-63). Which is the closest to 1? (a) 1/2 (b) 2 (c) v (d) 19
a
Suppose f + 5*h = -0*h + 1, f - 1 = -3*h. Let r = 52.1 + -52. Suppose -6*u + 3*u = 0. Which is the nearest to f? (a) -3 (b) u (c) r
c
Let i = -0.063 + -0.937. Suppose 4*r - 9 - 27 = -4*q, 2*r - 2*q = 22. Let k be 48/r - 17/(-85). Which is the closest to i? (a) 1/5 (b) -3 (c) k
a
Let u = 7 + -6.8. Let x = 9.9 - 10.2. Let j = -3 - -8. Which is the nearest to x? (a) 2/9 (b) u (c) j
b
Let a be (-10)/(-6)*(-10)/(-25). Let d be 84/60 - 78/120. What is the closest to a in -0.3, 0, d?
d
Let t = 0.0356 - -3.9644. What is the nearest to 0.2 in -5/4, 2/3, 1, t?
2/3
Let p = 316/39 - 114/13. Let u be (3/63)/(2/6). What is the nearest to u in p, -2/7, 1?
-2/7
Let r = 1.96 + 0.04. Let b(q) = -q**2 + 5*q + 7. Let k be b(6). What is the closest to 0.4 in -5/2, k, r?
k
Let h = 0.5 - 0.3. Let s = -3.6 - -4. Let i = 25 - 23. What is the nearest to h in 0.5, s, i?
s
Let y = -0.01418 - 2.98582. Suppose 0 = 5*v + 5*m, 5*m + 4 = -0*v - v. What is the closest to y in -5, v, 3/4?
-5
Let y = -0.06 - -1.06. Let f be -1 + (-57)/(-21) + (8 - 10). Which is the closest to y? (a) -2 (b) -3 (c) f
c
Let u = -233.4 + 233. Let d = -96.3 - -90. Let q = d + 6. Which is the nearest to -0.5? (a) u (b) q (c) 1
a
Let v = -877/7 + 125. Let i = 2185 + -2187. What is the nearest to v in -1/4, i, 2?
-1/4
Let c = 0.126 + -0.526. What is the nearest to -2/25 in c, 0.3, 1?
c
Let f be (-2*(-1)/(-15))/(22/33). Which is the nearest to 3? (a) 0.4 (b) 2 (c) f (d) 1
b
Let g = 0.7031 - 0.3031. Let i = -0.5 + 0.5. What is the nearest to 0 in g, -2/15, i?
i
Let i = -3 - -2.9. Let g = -0.10797 - -0.00797. What is the closest to g in i, -0.5, 3?
i
Let v = 2489 - 2488.9. What is the nearest to -1 in 0, 3, v?
0
Let t = -3 - 0. Let h = 14/41 + 40/123. Which is the nearest to h? (a) 0.1 (b) 6 (c) t
a
Let z = -330 - -328. Which is the closest to z? (a) 4 (b) -0.5 (c) 1/3
b
Suppose 4*c - 93 = -r, -5*r - 5*c = -2*r - 244. Let z = r + -359/5. Suppose -25 = -5*g - 4*y, 6*g + 11 = 2*g + 3*y. What is the closest to -0.1 in g, z, 2/9?
2/9
Suppose 0*w = g + w - 6, 3*g + 17 = 4*w. Let y be ((-41)/(-13) - g) + -2. Which is the closest to y? (a) -2/3 (b) 3/2 (c) 0.2
c
Let b = -356 - -356. What is the nearest to 0.2 in b, -4, 3/5?
b
Let o(q) = q**2 + 4*q + 3. Let t be o(-3). Suppose 4*x - 4*x - 8*x = t. Let d = -5 + 9. What is the nearest to -2 in x, d, -2?
-2
Let f = 1286 - 1284. What is the nearest to -2 in -22, -4, -3/5, f?
-3/5
Let i = -0.903 + 0.503. What is the closest to -1 in 5, -46, -2, i?
i
Let z = 23039/366 + 298/61. Let u = -68 + z. What is the closest to 2/9 in 0.3, u, 5?
0.3
Let y be 38/70 - 11/77. Let w = -2 + 2.4. Let n = 4.6 + w. Which is the closest to -1? (a) n (b) -1/2 (c) y
b
Let t = -979 - -978.7. What is the closest to 0.2 in -3, 2, t?
t
Let y = -77 - -386/5. Let p = 4.02 + -3.82. Let g = 385/6 + -64. What is the nearest to y in g, -5, p?
p
Let i = -61/4 + 317/20. Which is the nearest to -0.2? (a) 0 (b) i (c) -9
a
Let r = 0.04 - 3.04. Let h = -0.3 - -0.1. Let b(a) = a**2 - 12*a - 5. Let d be b(12). What is the closest to h in -0.3, r, d?
-0.3
Suppose 2*h = -0*h - 2. Let g = -0.34 + 4.34. Let l = 41 - 285/7. Which is the closest to l? (a) g (b) 0 (c) h
b
Let z = -2 + -1. Let s = 1384/3485 + 2/697. Let i = 4 - 4.1. What is the nearest to i in s, 1, z?
s
Let w = 2 + 0. Let u = -71 + 70. What is the closest to u in w, -2, -1/3?
-1/3
Suppose 2*p - 10*u - 22 = -5*u, -2*u = 4. Which is the nearest to -1/4? (a) -5 (b) p (c) -3
c
Let v = 143 + -122. Let q be (((-9)/(-6))/(-3))/(v/7). What is the closest to 0.1 in -12, 2, q?
q
Suppose v + n - 4 = 0, 9*v + 3*n + 4 = 10*v. Let w = -0.7 + 1. Which is the nearest to w? (a) v (b) -1/4 (c) -4
b
Let w(z) = 3*z**3 | {
"pile_set_name": "DM Mathematics"
} |
p(-8). Let z(u) = 14*u + 5. Give z(a).
5
Let x(v) be the second derivative of v**4/12 - 7*v**3/6 + 9*v**2/2 - 17*v. Let n be x(6). Let a(f) = n*f - 4 - 8*f + 4. Give a(-2).
10
Let g(j) = j**2 - 10*j - 17. Suppose -2*c = 2*w + 34 - 56, 0 = -5*w - c + 55. What is g(w)?
-6
Let d(v) = v**2 - 5. Let q(r) = -5 - 13 + 3 - 15*r - 3 - 3*r**2. Let g be q(-4). Give d(g).
31
Suppose 5*z - 2*j = -15, 496 - 526 = 3*z + 3*j. Let q(h) = -53*h - 271. Give q(z).
-6
Let p = -587 + 830. Let r = p - 249. Let m(j) = -j**3 - 7*j**2 - 3*j + 2. Determine m(r).
-16
Let k(w) = -30*w - 892. Let d be k(-30). Let v(m) = 16*m - 67. What is v(d)?
61
Let n(c) = 16*c - 38. Let r(j) = -53*j + 124. Let x(d) = 13*n(d) + 4*r(d). Determine x(1).
-2
Let s(d) be the third derivative of -23*d**6/120 - d**5/12 - d**4/8 + d**3/6 + 2*d**2 + 2757*d. Give s(-2).
171
Let l(a) be the third derivative of a**5/60 - a**4/6 - 5*a**3/6 + 1455*a**2. Determine l(-6).
55
Let c be ((-6)/8)/(48/(-128)). Let z(m) = -7*m - 5 + m**c - 3 + 0*m**2. Give z(7).
-8
Let q be 24/21*(693/(-18))/(-11). Let c(o) = 20 - 9 + o**2 - q*o - 9 - 2*o**2. Determine c(-5).
-3
Let x(i) be the third derivative of -i**5/30 - 5*i**4/24 - 7*i**3/6 + 3943*i**2. Determine x(-6).
-49
Let i(o) = -o**2 - 4*o**2 + 18 - 19 + 3*o**2 + o**2. Calculate i(-3).
-10
Let f(t) = -t**2 + 3*t - 1. Suppose 4*i - 2 - 2 = 0, 4*k + i - 5 = 0. Suppose -k = -3*z + 23. Suppose b = z - 6. Calculate f(b).
1
Let n be ((-24)/9)/(2 + (-40)/18). Suppose n*v + 25 = -47. Let h(f) = -f**3 - 6*f**2 + 5. Calculate h(v).
5
Let f(a) = 2*a - 26*a**2 + 290*a**2 - 306*a**2 + 1. Give f(1).
-39
Let w(z) = z**3 - z**2 + 1. Let d(a) be the third derivative of -a**6/40 - a**5/30 + a**4/6 + a**3/6 + a**2 + 9*a. Let u(i) = d(i) + 2*w(i). What is u(-5)?
8
Let i(x) be the first derivative of x**3/3 - 2*x**2 + 6*x + 1063. Let j = -2 - -4. Suppose 0*m = j*m - 12. Determine i(m).
18
Suppose 0 = 5*h - 3*u - 651, -19 + 406 = 3*h - 3*u. Let y(b) = -131*b - 48 + h*b + 47. Give y(-4).
-5
Let j(i) be the second derivative of 2*i**3/3 - 11*i**2 + 67547*i. Let l(k) = -4*k - 6. Let n be l(-4). Give j(n).
18
Suppose 5*u + 82 - 552 = 0. Let k(m) = 29 + 31 - u + 2*m + 21. Determine k(6).
-1
Let i(j) = 142*j - 492. Let y(q) = 84*q - 246. Let n(o) = -4*i(o) + 7*y(o). Determine n(-12).
6
Let k(u) = -76*u + 2. Let p be k(0). Let o(m) = -11*m**2 + 21*m + 4. Let h(w) = -5*w**2 + 9*w + 2. Let a(v) = p*o(v) - 5*h(v). Determine a(-3).
34
Let v(n) = 92 - 101 + n**3 - 4*n - 6*n**2 - n**2 + 6*n. Suppose 4*w - 12 = 16. What is v(w)?
5
Let h(q) = q**2 - 6*q - 5. Let t = -252 - -244. Suppose 0 = 5*r - 15, -w - 32 - 20 = 2*r. Let i be w/t - 1 - (-2)/(-8). Calculate h(i).
-5
Let i(n) = n**3 + 4*n**2 + 3*n + 4. Let h = 27 + -35. Let q = -3 - h. Suppose -q*m = 10 + 5. Determine i(m).
4
Let c(g) = 233*g + 19100. Let s be c(-82). Let y(w) be the second derivative of w**5/20 + 7*w**4/12 + 2*w**3/3 - 7*w**2/2 + w. Determine y(s).
5
Let s(q) = -3*q. Suppose 11 + 2 = 13*n. Let w(z) = n - 3*z**2 - 1 + 21*z - 3 + 18*z. Let l be w(13). Give s(l).
9
Let q(i) = i + 11. Let l be q(-6). Let m(w) = -1537*w**2 + 3 + 768*w**2 + 771*w**2 - 5*w. Calculate m(l).
28
Let p(t) = 11*t + 4. Let f be 1*4/((-32)/20)*2. Let s(x) = -14*x - 5. Let l(b) = f*p(b) - 4*s(b). Let o = -4 - -6. Determine l(o).
2
Let g(m) = 14 + 13 + 11*m - 1 - 6 + 2. What is g(-6)?
-44
Let w(z) = -z**2 - 20*z + 47. Let b be w(2). Let q(v) = -7 - b*v + 0*v**3 + v**3 - 4*v + 0*v + 7*v**2 + 8*v. Determine q(-7).
-14
Let l(k) = 28 + 25 - 5*k + 4 - 7 + 35. Calculate l(15).
10
Let x(b) = 2*b. Let s(h) = h**2 - 10*h + 2. Let p be s(10). Suppose -p*r = -5*y + 11, -y + 7 = 3*r - 2. Suppose k + 0 = -r. Calculate x(k).
-4
Let g be (2394/105 - 23)*5. Let q(v) = 6*v**3 + 3*v**2 - 5*v - 8. Determine q(g).
-6
Let q(s) be the second derivative of -s**3/6 + s**2/2 + 98*s. Suppose -k - 5*o = -0*k - 3, 3*o = 2*k - 19. Calculate q(k).
-7
Let v(z) = 4*z**2 + 26*z + 12. Let k be v(-6). Let y(f) be the second derivative of 8*f + 2/3*f**3 + k - 5/12*f**4 + 1/2*f**2 + 1/20*f**5. Give y(3).
-5
Let c(f) = 379 - 97*f**3 + 96*f**3 - 2*f - 420 + 8*f**2. Calculate c(7).
-6
Suppose -2*p + 11 = -4*d + 5, 0 = 5*d. Let h(n) = 0 - 251*n**2 + 14*n**p + 249*n**2 + 1. Suppose 1 = i - 2*i. Determine h(i).
-15
Let d(n) = 3*n**3 + 20*n**2 - 7*n - 3. Let m be 103/(-15)*1 + -11 + 489/45. Determine d(m).
-3
Let w = -79 - -81. Let d(z) = -37*z - 1. Determine d(w).
-75
Let a(t) = 321*t + 11559. Let z be a(-36). Let f(s) be the first derivative of -5 - 2*s - 1/3*s**z - 9/2*s**2. Determine f(-6).
16
Let c(n) = -7*n**2 + 8*n - 5. Suppose 2*z + 4*o = -28, -37 = 2*z - 261*o + 266*o. Determine c(z).
-85
Let i be 1 + 4*232/(-224) + 1/7. Let m(d) = -15*d - 11. What is m(i)?
34
Let j(k) be the third derivative of k**4/6 + 2*k**3/3 - k**2 - 94*k. What is j(-6)?
-20
Let a(v) = -29*v**2 + 88*v - 13. Let z(i) = -13*i**2 + 38*i - 6. Let c(g) = 3*a(g) - 7*z(g). Determine c(1).
5
Suppose 12*z - 17 - 9 = -14*z. Let q(k) be the second derivative of -2/5*k**5 - 1/6*k**4 + 1/3*k**3 - 1/2*k**2 + 0 - 2*k. Give q(z).
-9
Let m(l) = -18*l - 8*l**2 - 2*l**3 + 14*l**2 + 23*l**2 + 8*l**2 - 3. Calculate m(18).
-3
Let q(x) be the second derivative of 0 - 6*x**2 + 1/6*x**3 - 38*x. Calculate q(-10).
-22
Let b(s) = s**3 + s - 6. Let a be b(0). Let j(h) be the second derivative of -h**3/6 - 5*h**2 - 15*h - 247. What is j(a)?
-4
Let j(p) = -35*p**2 + 8239*p**3 - 8238*p**3 + 18*p**2 - 37 + 2*p. Calculate j(17).
-3
Let t(b) = -b**3 + 2*b**2 + 5*b. Let j(u) = -16*u**3 + 25*u**2 + 86*u + 42. Let h(i) = j(i) - 15*t(i). What is h(-5)?
-13
Let d(i) = 3*i**3 + 20*i**2 - 12*i - 10. Let s(c) = 8*c**3 + 57*c**2 - 35*c - 28. Let b(v) = -11*d(v) + 4*s(v). Determine b(7).
-9
Let t(r) = r - 8*r**2 - 1 + r - 5*r + 14*r**2 - 2*r. Give t(2).
13
Let n be ((-4)/8*4 - 6) + 3. Let q(a) be the third derivative of -1/10*a**5 - 1/4*a**4 - 1/120*a**6 + 0*a + 1/6*a**3 + 0 - 6*a**2. Determine q(n).
6
Let d(t) = 67*t**2 + 6 + 67*t**2 - 121*t**2. Let s(h) = 24*h**2 - h + 11. Let y(k) = -5*d(k) + 3*s(k). Determine y(1).
7
Let o(p) be the third derivative of -19*p + 3*p**2 + 1/3*p**4 + 0 - 1/60*p**5 + 5/6*p**3. What is o(6)?
17
Let k(a) = -18*a + 61*a - a**2 + 2*a**2 - 26*a - 1. What is k(-18)?
17
Let p(m) = 5*m**3 - 3*m**3 - 2*m**2 + 12 - m**3 - 9*m - 3*m**2. Let g be p(9). Let x(z) = 254*z - 1 - 1 - g*z. What is x(-9)?
7
Suppose 15*w + 19 = 139. Suppose w*x - 66 = -18. Let n(f) = 4*f - 2 - 3*f + f - 2. Determine n(x).
8
Let d(i) be the second derivative of -i**5/20 - 5*i**4/6 - i**3 + 15*i**2 + 988*i. Determine d(-9).
3
Let t(v) = -11*v - 4. Let a(k) = -37*k + 7*k - 31*k + 24 - 43 + k. Let b(j) = 2*a(j) - 11*t(j). Give b(-6).
0
Let a(f) = -5 + 899*f - 913*f + 0 + 22 + 16. Calculate a(2).
5
Let n(u) = 42*u + 30. Let s be n(4). Let i(l) = s*l + 200*l - 397*l. Let f(a) = -a**3 + 3*a**2 - a - 3. Let v be f(3). Give i(v).
-6
Let j(i) = 6*i**2 + 6*i + 12. Suppose -2*t - 3 = -1. Let s(w) = -18*w - 139. Let r be s(-8). Let d(a) = a**2 + a + 1. Let c(n) = r*d(n) + t*j(n). What is c(0)?
-7
Let o(d) = -11*d**3 - d**2 - 17*d - 31. Let f(c) = -6*c**3 - 9*c - 17. Let r(j) = 9*f(j) - 5*o(j). Determine r(-4).
2
Let k(d) = 3*d**3. Let b be k(1). Let q(i) = -9*i + 1 - 8*i**2 + b*i**2 + 12 + 6*i**2. Let u(c) = -c**2 + 7*c - 12. Let g(y) = 6*q(y) + 7*u(y). Calculate g(-6).
-12
Let l(a) = -3*a - 48*a**2 + 2 + 3*a + 55*a**2 - 12*a**2. Calculate l(-1).
-3
Let h(j) = -j**2 + 7*j + 9. Let s(l) = -l**2 + 8*l + 8. Let u(f) = -2*h(f) + 3*s(f). Let b = 152 - 142. Calculate u(b).
6
Let g(c) = -11 - 10*c + 20*c + 21*c + 10*c - 53*c. Calculate g(-3).
25
Let i(m) be the second derivative of m**3/6 - m**2/2 - 4*m. Suppose 2*w - 23 = -5*u, -w + 4*u - 31 = -4*w. Suppose -w*v = -0*v + 36. Calculate i(v).
-5
Let z(i) = -28*i**2 - 5*i + 29*i**2 + 2 - 5 - 4. Let l(c) = -2*c**2 + 14*c + 20. Let g(k) = 6*l(k) + 17*z(k). Determine g(1).
5
Let x(l) = 2*l**3 + 9*l**2 - 29 - 10*l**2 + 12*l + 52 - 30 - 20*l**2. Give x(10).
13
Let t(b) = 9*b - 2. Let x(k) = -k + 3. Let g be x(2). Let o be t(g). Suppose 5*w + 13 = -o. Let s(c) = -c**2 - 2*c + 2. What is s(w)?
-6
Let v(o) = 10*o**2 - 2*o + 4. Suppose 2*p - 10 = -2*x, -43*p + 46*p - 6 = 0. What is v(x)?
88
Let i(j) = -j**3 + 9*j**2 - 11*j + 6. Suppose 5*p + 0 = -2*y | {
"pile_set_name": "DM Mathematics"
} |
, -3, -4
Put 20, 0, 1, -4 in decreasing order.
20, 1, 0, -4
Put 0.6, -1, 0.2 in descending order.
0.6, 0.2, -1
Sort -0.5, -0.2, 3/5, -3 in descending order.
3/5, -0.2, -0.5, -3
Put 1, -10, -2, -1 in increasing order.
-10, -2, -1, 1
Put -0.3, -0.0918, 4 in decreasing order.
4, -0.0918, -0.3
Sort -3, 4, 17 in decreasing order.
17, 4, -3
Put -1, 0.5, 4 in decreasing order.
4, 0.5, -1
Sort 13, 4, -2, 1.
-2, 1, 4, 13
Sort -2, 0, -24, 5 in increasing order.
-24, -2, 0, 5
Sort 4, 15, -5, 2 in decreasing order.
15, 4, 2, -5
Sort -30, 0, -4, 6 in descending order.
6, 0, -4, -30
Sort 7/6, -1, 111 in ascending order.
-1, 7/6, 111
Sort -1, 0, -6463 in ascending order.
-6463, -1, 0
Sort 7, 195, 5 in descending order.
195, 7, 5
Put 0.2, -1, 0, 2/5 in ascending order.
-1, 0, 0.2, 2/5
Sort -16, 3, 100 in descending order.
100, 3, -16
Put 1, 3, 5, -34 in decreasing order.
5, 3, 1, -34
Sort -11, -4/3, -1, 3.
-11, -4/3, -1, 3
Sort 0.0433, -1, -0.2, -4 in descending order.
0.0433, -0.2, -1, -4
Sort 3, 145, 1, 4 in descending order.
145, 4, 3, 1
Sort -4, -4/9, 4/3 in increasing order.
-4, -4/9, 4/3
Sort 5, 2/5, -1.7 in decreasing order.
5, 2/5, -1.7
Sort -1, 6, -7, -2 in decreasing order.
6, -1, -2, -7
Put -3, 3, 18, 4 in decreasing order.
18, 4, 3, -3
Sort 1/8, 1/2, -5, 17.
-5, 1/8, 1/2, 17
Sort 4, -0.2, 0, 14, 1/5.
-0.2, 0, 1/5, 4, 14
Sort -4, -0.3, 0.09, -3/5, -3/35.
-4, -3/5, -0.3, -3/35, 0.09
Sort -8, 1, -11 in descending order.
1, -8, -11
Put 339, -5, -4, 0 in decreasing order.
339, 0, -4, -5
Sort 5, 2/15, 0.1, -0.1 in descending order.
5, 2/15, 0.1, -0.1
Sort -4, -39, 1 in descending order.
1, -4, -39
Sort 36/17, -1, 0.01.
-1, 0.01, 36/17
Sort -0.1, 0.5, -5 in descending order.
0.5, -0.1, -5
Sort 4, -7, 2, -1.
-7, -1, 2, 4
Sort -14, 5, -7 in descending order.
5, -7, -14
Sort 2/33, -22, -2/3, -1 in increasing order.
-22, -1, -2/3, 2/33
Sort -5, 1, 0.282, -2/3, 0.2 in decreasing order.
1, 0.282, 0.2, -2/3, -5
Put 0.37, -2/39, 1, 3 in descending order.
3, 1, 0.37, -2/39
Sort 2/5, 4, 5/12, -0.8, -0.5 in descending order.
4, 5/12, 2/5, -0.5, -0.8
Put 0, 48, 3, 13 in descending order.
48, 13, 3, 0
Sort 11, 3, -3, -8, 4 in descending order.
11, 4, 3, -3, -8
Put -3/11, -4/9, 5/29 in decreasing order.
5/29, -3/11, -4/9
Sort -25, 1, -3, 0 in ascending order.
-25, -3, 0, 1
Put 21, 5, 3 in increasing order.
3, 5, 21
Sort 4/5, -79/3, 0.3 in ascending order.
-79/3, 0.3, 4/5
Put 10, 3, -4, 4 in descending order.
10, 4, 3, -4
Put 0.2, 0.26, 5, -3, 0 in descending order.
5, 0.26, 0.2, 0, -3
Sort -4, -2, 5, 3, -82 in increasing order.
-82, -4, -2, 3, 5
Sort -6, 3, -14 in descending order.
3, -6, -14
Sort 119, -3, 9 in descending order.
119, 9, -3
Sort 3, -5, 26 in increasing order.
-5, 3, 26
Put 5, -59, -1/3 in decreasing order.
5, -1/3, -59
Put 41, 2, -1, 3 in decreasing order.
41, 3, 2, -1
Sort -6, 2, -2, 0, 7 in ascending order.
-6, -2, 0, 2, 7
Sort -8, 4, -2, 0 in decreasing order.
4, 0, -2, -8
Put 8, 2, -1, -9 in descending order.
8, 2, -1, -9
Put 0, -441/5, 1, 3 in descending order.
3, 1, 0, -441/5
Sort 0.5, 5, 3, -50.
-50, 0.5, 3, 5
Put -23, -21, -1, 5 in decreasing order.
5, -1, -21, -23
Sort 0, -0.4, -0.022, -0.2 in increasing order.
-0.4, -0.2, -0.022, 0
Put 2, 12, -194, 5 in ascending order.
-194, 2, 5, 12
Sort -8/103, -2, 0.5 in decreasing order.
0.5, -8/103, -2
Put 21, -1/3, -3.5 in ascending order.
-3.5, -1/3, 21
Put 436, -0.4, 2/3 in increasing order.
-0.4, 2/3, 436
Sort -5, 0, 0.1, -6/19 in descending order.
0.1, 0, -6/19, -5
Sort 3/2, 0.1, 1/4, -1 in ascending order.
-1, 0.1, 1/4, 3/2
Sort -1/2, -5/3, 24, -3, 1/4.
-3, -5/3, -1/2, 1/4, 24
Sort 0, -3, -5, -487 in ascending order.
-487, -5, -3, 0
Sort 3, 0.2, -2/21, 4 in descending order.
4, 3, 0.2, -2/21
Sort 1, -3, -11, -5, 5 in descending order.
5, 1, -3, -5, -11
Put -1, -14, 2, -3 in descending order.
2, -1, -3, -14
Sort 3/7, 1/4, -5, 0.5, 0.3.
-5, 1/4, 0.3, 3/7, 0.5
Sort 123, 0.1, -6, -3/2 in ascending order.
-6, -3/2, 0.1, 123
Put -2, -33, -7 in increasing order.
-33, -7, -2
Sort -2, -5, 4, -16 in decreasing order.
4, -2, -5, -16
Sort -3, 3, -6, -1 in ascending order.
-6, -3, -1, 3
Sort -3, 0.5, -24/7.
-24/7, -3, 0.5
Sort 1, -12, 2.
-12, 1, 2
Sort 3/5, 0, 0.5, 2/13 in ascending order.
0, 2/13, 0.5, 3/5
Sort -2, -3, 3, -119 in decreasing order.
3, -2, -3, -119
Sort 20, 0, 4, -22, 5.
-22, 0, 4, 5, 20
Sort -3, 2, -1 in descending order.
2, -1, -3
Sort 73, -2/3, 5, 4/7 in ascending order.
-2/3, 4/7, 5, 73
Sort 0.39, 0.8, 7/2 in descending order.
7/2, 0.8, 0.39
Put 13, -27, -3, 4 in decreasing order.
13, 4, -3, -27
Sort 4, -5, 0.3, -6 in descending order.
4, 0.3, -5, -6
Sort 11, 2, 5, 4.
2, 4, 5, 11
Put 0.3, 4, -5/13, 4/5, -0.2 in descending order.
4, 4/5, 0.3, -0.2, -5/13
Put 21, -6, -10, 5 in increasing order.
-10, -6, 5, 21
Sort -2, 1, 11, -3 in ascending order.
-3, -2, 1, 11
Put 3, -1, 30, -4, 2 in decreasing order.
30, 3, 2, -1, -4
Put -1/42, 4, 0.2, 0 in ascending order.
-1/42, 0, 0.2, 4
Put 4, -334, 10, -5 in descending order.
10, 4, -5, -334
Sort 680, -2, 2 in ascending order.
-2, 2, 680
Sort -9433, 0.2, -2 in ascending order.
-9433, -2, 0.2
Put 8, 30, 1 in descending order.
30, 8, 1
Sort 3, -3, -13 in ascending order.
-13, -3, 3
Put -2, 0.4, 1/5, 3/32 in increasing order.
-2, 3/32, 1/5, 0.4
Put -5, -11, -10, -4, -2 in ascending order.
-11, -10, -5, -4, -2
Put -0.5, 2/13, -2/133 in increasing order.
-0.5, -2/133, 2/13
Put -1, 1, -0.071, -0.1 in ascending order.
-1, -0.1, -0.071, 1
Put -0.5, 82, 22 in decreasing order.
82, 22, -0.5
Put 4, -0.188, 0 in descending order.
4, 0, -0.188
Put -4, 1, -1, -5, 10 in descending order.
10, 1, -1, -4, -5
Put 113.3, 8, -3 in increasing order.
-3, 8, 113.3
Put -2, 3, 4, 6, -48 in increasing order.
-48, -2, 3, 4, 6
Sort -69, -5, 3, 2.
-69, -5, 2, 3
Sort -6, -0.06, -22 in descending order.
-0.06, -6, -22
Put 0.42, -1/8, 0.091, -5 in ascending order.
-5, -1/8, 0.091, 0.42
Put 463, 3, -4, -5, -3 in increasing order.
-5, -4, -3, 3, 463
Sort -14/11, -1, 5/4 in descending order.
5/4, -1, -14/11
Put -1/3, 0, 9, 6 in increasing order.
-1/3, 0, 6, 9
Sort 1, -2, 5, -0.2, -31/2 in ascending order.
-31/2, -2, -0.2, 1, 5
Put -0.1, -0.5, -0.45, 0.3 in decreasing order.
0.3, -0.1, -0.45, -0.5
Put 4, 30, 1 in ascending order.
1, 4, 30
Put 4, -2, -1, 3 in decreasing order.
4, 3, -1, -2
Put 6, -1, 2, -5, 1 in decreasing order.
6, 2, 1, -1, -5
Sort -4, 1/22, -0.2 in decreasing order.
1/22, -0.2, -4
Sort -1/5, 20, 1/2, 5, -2/15 in ascending order.
-1/5, -2/15, 1/2, 5, 20
Sort 0, 4, -3, -5 in ascending order.
-5, -3, 0, 4
Sort -4, 4, 14 in decreasing order.
14, 4, -4
Put 3, 2, 7 in decreasing order.
7, 3, 2
Sort -6, 2, -3, 4 in increasing order.
-6, -3, 2, 4
Put 5, -6, 230 in ascending order.
-6, 5, 230
Put 115, 0, -4 in ascending order.
-4, 0, 115
Sort -1.7, 12, -0.2, -1 in descending order.
12, -0.2, -1, -1.7
Put 0.4, 38, 1/4 in increasing order.
1/4, 0.4, 38
Put -22, 6, 1, 2, -5 in ascending order.
-22, -5, 1, 2, 6
Sort -5, -1, -4, 16, 39 in ascending order.
-5, -4, -1, 16, 39
Put -2/9, -3.3, -1/3, -0.1 in descending order.
-0.1, -2/9, -1/3, -3.3
Put 3/5, 4, 35 in descending order.
35, 4, 3/5
Sort -5, -101, 2, 10 in descending order.
10, 2, -5, -101
Sort -2, -5, -3 in descending order.
-2, -3, -5
Sort -3, 0, 2, -79 in decreasing order.
2, 0, -3, -79
Put -6, 0, -11, 1/4, -0.2 in descending order.
1/4, 0, -0.2, -6, -11
Sort 5, 1/4, 0.1.
0.1, 1/4, 5
Sort -1/3, 570, -0.06, 0 in decreasing order.
570, 0, -0.06, -1/3
Sort -4, 54, 0, 2 in descending order.
54, 2, 0, -4
Sort 2, -1, -4, 0, 450 in decreasing order.
450, 2, 0, -1, -4
Put -15, -1, -56 in ascending order.
-56, -15, -1
Put -4, 7, -5, -8, -3 in descending order.
7, -3, -4, -5, -8
Put 7, -24, 3 in decreasing order.
7, 3, -24
Sort 5, 3, 2/15, -11/3, -0.2 in increasing order.
-11/3, -0.2, 2/15, 3, 5
Put -2/7, -0.2, 9, 2/19 in increasing order.
-2/7, -0.2, 2/19, 9
Put -1/7, -5, 2/3, -5/11, -4 in decreasing order.
2/3, -1/7, -5/11, -4, -5
Sort 3, -5, 3/17, 0, -1/12 in ascending order.
-5, -1/12, 0, 3/17, 3
Sort 4, 5, 1/1211, -1/2 in decreasing order.
5, 4, 1/1211, -1/2
Sort -2, 2, 1/4, -0.053 in decreasing order.
2, 1/4, -0.053, -2
Sort 17, 2/5, 0.1.
0.1, 2/5, 17
Put -3, 4, -4, -35, -1 in increasing order.
-35, -4, -3, -1, 4
Sort 4, 0 | {
"pile_set_name": "DM Mathematics"
} |
136*a in the form n*a + h and give n.
35
Rearrange -3*m**3 - 7*m - 2*m**2 + 6*m**3 + m - m**3 to the form n*m**2 + y*m + u*m**3 + d and give y.
-6
Rearrange 5*c**3 + 8*c + c**3 + c**3 - 6*c to q + g*c**3 + d*c**2 + a*c and give a.
2
Rearrange (0*p - 3*p + 0*p + (3 + 0 - 4)*(-6*p + 10*p + 25*p))*(-p**3 - p + 3*p - p**3) to the form n*p**2 + r*p + g + l*p**4 + u*p**3 and give n.
-64
Express (-x**2 + 4*x - 4*x)*(1 + 5*x + 2 + 0) + 4*x**3 - x**3 - x**3 as u*x + y + s*x**3 + t*x**2 and give y.
0
Rearrange 5*r**3 - 3*r**3 - 3*r + 29*r**4 - r**2 + 5*r + 4*r**4 to the form w*r + n*r**4 + y*r**2 + t*r**3 + x and give y.
-1
Rearrange (1 - 1 - 2)*(0*u + 0*u - 3*u**2 + (-u**2 - 2*u**2 + 0*u**2)*(6 - 2 - 2)) to o + n*u + p*u**2 and give p.
18
Express (2 + 9 - 6)*(1 - 6 + 4)*(10*q + 4*q**4 - 5*q**4 + 0*q) as z*q**3 + p + x*q**4 + o*q + g*q**2 and give x.
5
Express (-6*p**2 - 5 + 5)*(-p**2 - 4 + 4) in the form t*p**2 + c*p**3 + k*p + l + o*p**4 and give o.
6
Express (-3 + 3 + 1)*(-65*s + 3 + 62*s - 1) as v + a*s and give v.
2
Express -u + u + u**3 + 54*u**2 - u**3 - 54*u**2 + u**3 - 5*u**2 + 5*u**2 + (2*u - 2*u + 2*u**3)*(0 + 4 - 3) as k + c*u + h*u**2 + n*u**3 and give n.
3
Rearrange (0*z**3 + 3*z**3 - z**3)*(-3 + 6 + 0)*(2 - 7 - 3) to the form h*z**2 + l*z**3 + p + q*z and give l.
-48
Express -15*v - 51 + 51 as d*v + h and give d.
-15
Rearrange -4*x + 2*x - 33 + 10 - x**4 + (0 + 0 + 2*x)*(-x**3 - 5*x**3 + 4*x**3) to the form b*x**2 + p + o*x**3 + v*x**4 + f*x and give p.
-23
Rearrange 8*v - 11*v - 6*v + 0*v to the form z + g*v and give z.
0
Express 25*p**2 + 2 - 5 + 3 as q*p + z*p**2 + n and give n.
0
Rearrange (8*j**3 - 6*j**3 - 5*j**3)*(-4 + 2 + 3)*(5 + 0 - 3) to the form f*j + t + s*j**2 + z*j**3 and give z.
-6
Rearrange (-2*p**3 - 1 + 1)*(0 - 1 - 2) + 5*p**2 + p**3 - 5*p**2 to j*p**2 + m*p + i*p**3 + r and give i.
7
Express 3*n - 2*n + 2*n + (-45 + 4*n + 45)*(-4 - 4 + 4) in the form w + q*n and give q.
-13
Express 0*q - 13*q**3 + 7*q**3 + 3*q + q**2 in the form j*q**3 + c*q**2 + i + h*q and give h.
3
Express -5*z + 4*z - z - 2*z**2 + 9 - 4*z**4 + 4*z in the form t*z**2 + s*z**4 + q*z**3 + m*z + k and give s.
-4
Rearrange (1 - 3*k - 1)*(-2*k + 2*k - 2*k + (-1 + 1 + 2*k)*(-1 + 5 - 5) + 2*k - 3*k - 7*k) to q*k + x*k**2 + l and give l.
0
Rearrange 1 + 2*l**2 - l**2 - 8*l**3 + 5*l**3 - 11*l**3 to t*l**2 + g*l**3 + h*l + p and give g.
-14
Rearrange 3*p**3 + 1 + p - 72*p**4 - p**2 - 6*p**3 + 70*p**4 + 2*p**3 to the form v*p + k*p**3 + f + o*p**2 + l*p**4 and give o.
-1
Express (0*y**2 + y**3 + 0*y**2)*(-3*y + 2*y + 3*y) - 89 + 89 + 34*y**4 in the form b + k*y**3 + u*y**2 + v*y + t*y**4 and give t.
36
Express ((-2 + 2 + x)*(1 - 1 - 1) + (-x - x + 0*x)*(1 + 1 + 0))*(5 - 6 - 2)*(2*x + 0*x - 3*x) as s*x + g + i*x**2 and give i.
-15
Express -j**2 - 22*j + 22*j as v + c*j**2 + x*j and give c.
-1
Rearrange 15*a + 3*a**3 - a**2 + a**2 - 12*a to l*a + c*a**3 + s + p*a**2 and give l.
3
Express (2*r**2 + 2*r**2 - 2*r**2)*(r**2 - r**2 + 3*r**2) + 523*r**2 + 43*r**4 - 523*r**2 in the form p*r**2 + v + s*r + z*r**3 + d*r**4 and give d.
49
Rearrange (-8 + 8 - 3*j)*(-2 + 2 - 5*j) + (-j + 2*j - 2*j)*(0*j + 4*j - 3*j) to y*j**2 + f + o*j and give y.
14
Express 5*l**2 + 21*l**2 + 6*l**2 + 2*l**2 as d + m*l**2 + r*l and give m.
34
Rearrange -z**2 - 3*z**2 + z - 3*z**2 + 11*z**2 to f*z**2 + h*z + j and give f.
4
Rearrange 14*g**2 + 2*g + g**3 - 93*g**2 - 4*g**2 - 1 - 4*g to r*g + x*g**2 + j*g**3 + w and give j.
1
Express 2*g**3 - g**4 - 35*g**2 + 31*g**2 - 3*g**3 - g as x + v*g + d*g**3 + n*g**2 + w*g**4 and give n.
-4
Express 227*l - l**2 + l**3 - 470*l + 227*l as g*l**2 + n*l + q*l**3 + d and give q.
1
Rearrange -2*o - 2*o**3 + 2*o + 0*o**3 + 0*o**3 + 5*o**3 - 4*o**3 - 5*o + 5*o + (2*o + o - 2*o)*(2*o**2 - 2*o + 2*o) to s*o**3 + y*o + d + j*o**2 and give s.
1
Rearrange 38*d**3 + 2*d**4 - 36*d**3 + d**4 + 3*d + 1 + 0*d to k*d**3 + m*d + o + x*d**4 + c*d**2 and give k.
2
Express 9*f + 0*f + 16*f + 2 - 4 as y + w*f and give w.
25
Rearrange (2 + 7*f - 2)*(-f - 3*f**2 + 1 - 3 + 3*f) to the form w*f**3 + n*f + z*f**2 + i and give z.
14
Express (-7221 - 163*x**2 + 7221)*(-3*x**2 + 2*x**2 + 3*x**2) as z*x**3 + a*x**4 + k*x + r + y*x**2 and give a.
-326
Express -41*m**3 - 48*m - 49*m - 2*m**2 + 94*m as o*m + c + n*m**2 + l*m**3 and give o.
-3
Rearrange -48 + 14*b**2 + b - 25*b**2 + b + 13*b**2 to the form m*b**2 + c*b + w and give c.
2
Express -241 + 14*w + 241 - w**3 as n*w**2 + j*w**3 + k + v*w and give v.
14
Rearrange -4 + 8 + 25 + o to the form r + v*o and give v.
1
Express 3*p**2 + 0*p**2 - 5*p**2 + 4*p**3 + 3 as b*p**2 + j*p**3 + u + k*p and give j.
4
Express ((-16 - 2 + 1)*(0 + 0 - d) - 3*d + 2*d - d)*(-1 - 1 + 1) as x*d + g and give x.
-15
Express -2 - h - 1 - 14 - 8 as k + p*h and give p.
-1
Express (-3 + 1 + 3)*(0 + 3 - 1)*(17 - 17 + 5*x) + 3*x + 4*x - 4*x in the form y + k*x and give k.
13
Express -5*w**2 + 4*w**2 - 8*w**2 in the form d*w**2 + v*w + o and give o.
0
Express 3*c**2 - 9*c**2 + 0*c + 0*c in the form m*c + z + w*c**2 and give w.
-6
Rearrange (5 - 5 + 4)*(-7*h + 10*h + 2*h) to n + s*h and give s.
20
Express -21 + 13*h + 2 - 14*h - 28 in the form k*h + n and give k.
-1
Express 17*w**2 + 4*w**3 - 15*w**2 - 5*w**3 as i*w**3 + a + g*w**2 + q*w and give g.
2
Express -17 + 4*g + 3*g - 4*g - 5*g in the form s + r*g and give r.
-2
Rearrange -369 + 369 + 106*p to x + o*p and give o.
106
Rearrange (0*s - 9*s + 0*s)*(-2 + 2 - s + (3*s - s - 3*s)*(-1 - 4 + 7) + 0*s - 4*s + 3*s - 2*s + 0 + 0 + 0*s + 4*s - 5*s) to q*s**2 + h + v*s and give q.
63
Rearrange -3*z**3 - 3*z**2 + z**2 + 5*z**3 - z**2 to the form b*z**3 + r*z + o + x*z**2 and give b.
2
Express -50*v + 13*v + 13*v as f + g*v and give f.
0
Rearrange -9*f + f - 42*f**2 + 8*f to the form r*f**2 + t*f + z and give r.
-42
Express -124*r + 0*r**2 + 4*r**2 + 124*r as u + b*r + o*r**2 and give o.
4
Rearrange 5*g**3 + 2*g**2 - 7*g**3 - 3*g**3 - 5*g**3 to z*g**3 + l*g + n*g**2 + c and give z.
-10
Rearrange 12*o**4 - 27*o**4 - 1 + 12*o**4 + o**2 + 2*o**3 to r*o**2 + t*o**4 + n*o + i*o**3 + q and give q.
-1
Rearrange (5*h - 3*h - 3*h)*(5 - 4 - 2) + 2*h + 6 + 2*h - 3 to the form b*h + u and give b.
5
Rearrange -52*x - 25*x - 42*x to l*x + q and give l.
-119
Express 182*y + 177*y + 2*y**3 - 360*y + 3 + y**4 - 2*y**2 in the form t + g*y**3 + w*y + f*y**4 + j*y**2 and give w.
-1
Rearrange -10 - 14 + 0*l**3 - 2*l - l**3 to m*l**3 + f + p*l + v*l**2 and give f.
-24
Rearrange 4*r + 7*r + 0*r to b*r + x and give b.
11
Rearrange -5*n**2 + 0*n**2 + 3*n**2 + (2 + 0 - 1)*(1 - 3 + 3)*(-n**2 - 2*n**2 - n**2) to t + a*n + u*n**2 and give u.
-6
Express q**3 - 2*q**2 + 3*q + 28 - 2*q**4 - 56 + 28 as a*q**3 + f + s*q + p*q**2 + l*q**4 and give p.
-2
Express (-2 + 2 - 3)*(4*n - 4*n - 16*n**2 - n**3) as h*n**3 + l + r*n + f*n**2 and give f.
48
Express -s + 0 + 0 + (-6 + 4 + 1)*(s + s - 6*s) as w*s + z and give w.
3
Express 6*f + 7 - 7 as c + n*f and give n.
6
Express -3*n**2 + 3*n**2 - n**2 + n**4 - 6*n**2 - 1 in the form g + x*n + v*n**3 + o*n**2 + w*n**4 and give g.
-1
Rearrange 2*j + 2*j - 3*j + (2*j + 1 - 1)*(-3 + 3 + 2) - 3*j - 30*j - 165*j to the form a*j + l and give a.
-193
Rearrange (2 - 2 - 2*p)*(-1 + 0 - 3) + 0*p - p - p + 1 to the form l + h*p and give l.
1
Rearrange (2 + 38*d**4 - 39*d**4 - 1)*(-1 - 1 + 0) to the form h + x*d**3 + k*d**4 + n*d + f*d**2 and give k.
2
Express (-4*s + 5*s + 0*s)*(2 - 2 - 2*s) - 41*s**2 + 502*s - 502*s as f*s + h + d*s**2 and give d.
-43
Rearrange -45*v**2 - 3*v**3 + 18*v**2 + 30*v**2 + 2 to h*v + x*v**3 + r + k*v**2 and give x.
-3
Rearrange -9*j + 16*j - 2*j**2 + 4 - 7*j + 2*j**3 to d + s*j**2 + w*j**3 + z*j and give w.
2
Rearrange (1 - 1 + 2)*((7*h - 2*h + 0*h)*(-4*h + 4*h - 2*h) - h**2 - 2*h + 2*h) to the form x*h + k*h**2 + c and give k.
-22
Express -2*m**2 - 5*m**3 + m + 4*m**3 - 5*m + 3*m in the form h*m**2 + x*m**3 + t*m + y and give x.
-1
Express -3*r**2 - 6 + 6 + (-4*r + r + 0*r)*(-3 + 3 + 3*r) as k + x*r**2 + z*r and give x.
-12
Rearrange (3 - 2 + 2)*(-h + 0 + 0) + 2*h + 4*h - 7*h to the form d + k*h and give k.
-4
Express (-4*z**3 + 0*z**3 + 8*z**3)*(-5 - 1 + 1)*(-2*z + 6*z - z) as o*z**2 + m + l*z**4 + i*z + n*z**3 and give l.
-60
Express (-2*x**2 + 3*x**2 - 2*x**3 + 3*x**3)*(-1 - 14 - 6) in | {
"pile_set_name": "DM Mathematics"
} |
in 151180, 151239, 151298, 151357, 151416?
151475
What is next in -771, -1752, -2769, -3840, -4983, -6216, -7557?
-9024
What is the next term in -39836, -23409, -6982?
9445
What is next in 931298, 931294, 931270, 931214, 931114, 930958, 930734, 930430?
930034
What comes next: -180172, -720661, -1621472, -2882605?
-4504060
What is the next term in 3439, 7520, 12249, 17626, 23651, 30324, 37645?
45614
What is the next term in 4681, 4474, 4271, 4072?
3877
What is the next term in 7201, 13974, 20323, 26248, 31749, 36826, 41479?
45708
What comes next: -425, -1494, -3085, -5192, -7809?
-10930
What is the next term in 25971608, 51943219, 77914830?
103886441
What comes next: 520952, 520956, 520964, 520976, 520992, 521012, 521036?
521064
What comes next: 14014, 28034, 41942, 55744, 69446, 83054, 96574?
110012
What comes next: 808118, 808166, 808218, 808274, 808334, 808398, 808466?
808538
What is the next term in 158, 501, 850, 1205, 1566, 1933, 2306?
2685
What comes next: -1109279, -1109337, -1109393, -1109447, -1109499, -1109549?
-1109597
What is next in 850, 6568, 21828, 51316, 99718, 171720, 272008?
405268
What is the next term in 656467, 1312752, 1969041, 2625334?
3281631
What comes next: 11606, 21894, 32182, 42470?
52758
What comes next: 400, 1294, 2720, 4678, 7168?
10190
What is next in 61636, 61655, 61678, 61699, 61712, 61711?
61690
What is the next term in 1070815, 2141611, 3212389, 4283149, 5353891, 6424615?
7495321
What comes next: 2524, 2296, 1904, 1336, 580, -376, -1544, -2936?
-4564
What is the next term in 3155399, 6310800, 9466201, 12621602, 15777003, 18932404?
22087805
What is next in 2262357, 9049418, 20361187, 36197664?
56558849
What comes next: 183322, 733324, 1650008, 2933374, 4583422?
6600152
What is next in 1015680, 1015677, 1015674, 1015671, 1015668, 1015665?
1015662
What comes next: -10976667, -21953299, -32929931, -43906563?
-54883195
What is next in -16967, -16951, -16917, -16859, -16771, -16647, -16481, -16267?
-15999
What is next in -143, -121, 67, 427, 965, 1687?
2599
What is the next term in -14778, -17727, -20662, -23577, -26466?
-29323
What is next in -20708, -21043, -21378, -21713?
-22048
What comes next: -2883, -6958, -11033, -15108, -19183?
-23258
What comes next: -72828, -260275, -572680, -1010037, -1572340, -2259583?
-3071760
What is the next term in -1206, -3267, -5328, -7389?
-9450
What is the next term in 3637283, 3637245, 3637207, 3637169, 3637131?
3637093
What is next in -293540, -293581, -293622, -293663?
-293704
What comes next: -326916430, -326916431, -326916432?
-326916433
What is next in -121196260, -242392519, -363588778?
-484785037
What comes next: -7936, -32200, -72612, -129148, -201784, -290496, -395260, -516052?
-652848
What is the next term in -37970350, -37970345, -37970340?
-37970335
What comes next: 40869, 81723, 122567, 163395, 204201, 244979?
285723
What is the next term in 1980, 2454, 3210, 4248, 5568?
7170
What is next in -9683, -38807, -87361, -155345, -242759?
-349603
What is the next term in -253321, -253297, -253273, -253249, -253225?
-253201
What is next in 16445, 23214, 29983, 36752, 43521, 50290?
57059
What is the next term in 7858088, 7858076, 7858042, 7857974, 7857860, 7857688, 7857446, 7857122?
7856704
What is next in 5624761, 11249526, 16874291, 22499056?
28123821
What is next in -1694889, -1694888, -1694887, -1694886, -1694885, -1694884?
-1694883
What comes next: 858, 1932, 3232, 4758, 6510, 8488?
10692
What comes next: -1758, -3468, -5168, -6864, -8562, -10268, -11988, -13728?
-15494
What is next in -10579, -42143, -94709, -168283, -262871, -378479, -515113?
-672779
What comes next: -305005, -304835, -304665, -304495?
-304325
What is the next term in -3436, -5827, -8198, -10549?
-12880
What is the next term in 88984, 89191, 89396, 89599, 89800, 89999?
90196
What is the next term in 241904113, 241904111, 241904107, 241904101?
241904093
What is next in -14268390, -14268396, -14268400, -14268402?
-14268402
What is next in 19612057, 39224123, 58836189?
78448255
What is next in 2456, 10750, 24580, 43946, 68848?
99286
What is the next term in -252308, -1009253, -2270830, -4037039, -6307880, -9083353?
-12363458
What comes next: 400706, 400735, 400746, 400733, 400690, 400611?
400490
What is the next term in -750, -4292, -10194, -18456?
-29078
What comes next: 1892, 2914, 5688, 11090, 19996?
33282
What comes next: -68129, -136276, -204421, -272564, -340705, -408844, -476981?
-545116
What is the next term in 772, 3245, 7386, 13195?
20672
What comes next: -2916074, -2916089, -2916102, -2916113, -2916122, -2916129?
-2916134
What is the next term in -167871608, -335743211, -503614814, -671486417, -839358020, -1007229623?
-1175101226
What is next in 5656, 5426, 5040, 4498, 3800, 2946, 1936?
770
What is the next term in -835, -2610, -5023, -8392, -13035, -19270, -27415?
-37788
What is next in 2234, 15685, 50502, 116831, 224818?
384609
What is next in 673215, 673109, 673003, 672897, 672791?
672685
What comes next: 2727, 3948, 5169?
6390
What is the next term in 7121, 16467, 25813, 35159, 44505, 53851?
63197
What is the next term in -4686, -10212, -16582, -23796, -31854?
-40756
What is the next term in 209741, 209703, 209663, 209621?
209577
What is the next term in 515063977, 515063975, 515063973?
515063971
What is next in 591469, 591487, 591515, 591553, 591601, 591659, 591727?
591805
What is the next term in 98821, 98784, 98691, 98512, 98217, 97776, 97159, 96336?
95277
What is the next term in -559921, -1120535, -1681149?
-2241763
What is the next term in -21786, -43600, -65428, -87264, -109102, -130936?
-152760
What is the next term in -148880, -297757, -446634, -595511, -744388, -893265?
-1042142
What comes next: -4371482, -8742962, -13114442, -17485922, -21857402, -26228882?
-30600362
What is the next term in -2807449, -11229846, -25267173, -44919430, -70186617, -101068734, -137565781?
-179677758
What is the next term in 39415, 79010, 118605, 158206, 197819?
237450
What is the next term in -39572, -39504, -39350, -39074, -38640, -38012, -37154, -36030?
-34604
What is the next term in 1744018, 1744014, 1744010, 1744006, 1744002?
1743998
What comes next: -5831, -14302, -37291, -82058, -155863, -265966?
-419627
What is the next term in 1036, 1491, 2266, 3379, 4848?
6691
What comes next: -4333, -4820, -5277, -5710, -6125?
-6528
What is next in 3452, 7274, 11092, 14906?
18716
What comes next: -1861, -7485, -16879, -30055, -47025, -67801, -92395, -120819?
-153085
What comes next: 411784, 823631, 1235470, 1647301, 2059124, 2470939, 2882746?
3294545
What comes next: -18109, -16960, -15811, -14662, -13513?
-12364
What is next in 1176, 3239, 6194, 10041, 14780?
20411
What comes next: 76240, 304793, 685704, 1218973, 1904600?
2742585
What is next in -5029, -5341, -5673, -6037, -6445, -6909?
-7441
What comes next: 6432, 6210, 5616, 4464, 2568?
-258
What is the next term in 229734, 231253, 232780, 234321, 235882, 237469?
239088
What is next in 4290, 9155, 14022, 18891, 23762, 28635?
33510
What is the next term in 3557, 7842, 12877, 18662, 25197, 32482?
40517
What comes next: 696999, 1394010, 2091021, 2788032, 3485043?
4182054
What is the next term in -22671, -22892, -23113, -23334?
-23555
What is the next term in 26010, 52197, 78398, 104619, 130866?
157145
What is next in -1615045, -3230094, -4845149, -6460210, -8075277?
-9690350
What is the next term in -1283, -602, 125, 922, 1813, 2822, 3973, 5290?
6797
What is next in -11175, -45277, -102117, -181695, -284011, -409065?
-556857
What comes next: 17758, 37661, 57564, 77467, 97370, 117273?
137176
What is the next term in -3015515, -3015585, -3015655, -3015725, -3015795?
-3015865
What comes next: -31224, -31216, -31210, -31206?
-31204
What comes next: 23472, 23477, 23478, 23475?
23468
What comes next: 2179, 4324, 6469?
8614
What is the next term in -2217, -17650, -59531, -141084, -275533?
-476102
What is next in 413, 432, 475, 542, 633?
748
What is next in 4170, 8665, 13198, 17769?
22378
What comes next: 12181, 99676, 337175, 799684, 1562209?
2699756
What is next in 354455, 354363, 354295, 354251?
354231
What comes next: 33578, 67130, 100670, 134198, 167714?
201218
What comes next: -1559, -1647, -1809, -2057, -2403, -2859?
-3437
What is next in 3218441, | {
"pile_set_name": "DM Mathematics"
} |
erivative of -s - 3 - 3 + 6*s wrt s?
5
Let v(b) be the second derivative of -b**9/3024 + b**6/120 + b**3/2 + b. Let l(y) be the second derivative of v(y). Find the third derivative of l(k) wrt k.
-60*k**2
Let a be 2*6*3/12. What is the third derivative of -6*u**5 + 3*u**5 - 4*u**2 + 3*u**6 + a*u**5 wrt u?
360*u**3
Let y(c) = -6*c**2 + c. Suppose p + 10 = -p. Let g(h) = -5*h**2. Let n(j) = p*g(j) + 4*y(j). Find the second derivative of n(q) wrt q.
2
Suppose 0 = -3*n - 12, 2*n + 4 = 2*u + 3*n. What is the second derivative of 9*g**3 + 0 + 0 - 2*g - u*g**3 wrt g?
30*g
Let l(g) be the first derivative of g**5/30 + g**4/8 + 2*g**3/3 - 3. Let b(i) be the third derivative of l(i). Differentiate b(n) with respect to n.
4
Let i = 3 - 3. What is the derivative of i - 1 + 0 + u wrt u?
1
Let b(k) be the second derivative of -2*k**3/3 + 11*k**2/2 - 12*k. Differentiate b(w) wrt w.
-4
Let a be (5 + 217/(-49))/((-4)/(-14)). Let y(b) be the second derivative of 0*b**3 - b**a + 4*b + 1/20*b**5 + 0 + 0*b**4. Differentiate y(i) with respect to i.
3*i**2
Let p(h) be the third derivative of 3*h**2 + 0 + 0*h**6 + 0*h + 0*h**4 - 1/336*h**8 + 0*h**3 + 0*h**7 - 1/60*h**5. What is the third derivative of p(x) wrt x?
-60*x**2
Let n = -2 - -6. What is the first derivative of -3*x**n + 2 - 5 + 2 + 0 wrt x?
-12*x**3
Let a(r) = -r**2 - 3*r. Let i(o) = 5*o**2 + 15*o. Let b(u) = 11*a(u) + 2*i(u). Find the second derivative of b(z) wrt z.
-2
Let b(q) be the first derivative of -q**4/4 + 2*q**3/3 - q**2 + 7*q - 37. What is the second derivative of b(v) wrt v?
-6*v + 4
Let j = 3 - 3. Let a(g) be the third derivative of j*g**3 + 1/30*g**5 + 0 + 0*g**4 + 1/40*g**6 + 3*g**2 + 0*g. Find the third derivative of a(f) wrt f.
18
Let f(x) be the third derivative of x**8/840 - x**6/120 + x**3/6 + 2*x**2. Let w(y) be the first derivative of f(y). What is the third derivative of w(m) wrt m?
48*m
Find the third derivative of -3*k**3 + 3*k**3 + k**3 - 10*k**2 wrt k.
6
Let k(b) be the first derivative of 3*b**2/2 + b + 3. What is the derivative of k(o) wrt o?
3
What is the third derivative of 5*w**2 - w**4 + 0*w**2 - 6*w**4 - w**2 wrt w?
-168*w
Let n(d) = d + 1. Let k(m) = 21*m + 14. Let i(t) = -k(t) + 6*n(t). Find the first derivative of i(x) wrt x.
-15
Let h = 5 + -3. Differentiate -6 + h + 0 - 5*r + 9*r with respect to r.
4
Suppose 8 = 2*x + 2*x. What is the third derivative of -2 + x + 12*n**2 - 10*n**2 - 2*n**3 wrt n?
-12
Find the third derivative of 35*w**2 - 48*w**3 - 126 + 24*w**2 + 126 wrt w.
-288
Let o(l) = 11*l**2 - 52*l - 1. Let b(q) = 11*q**2 - 51*q - 1. Let z(p) = 5*b(p) - 6*o(p). What is the second derivative of z(f) wrt f?
-22
Let f(z) be the third derivative of -1/120*z**6 + z**2 - 1/15*z**5 + 0*z**3 + 0*z**4 + 0 + 0*z. What is the third derivative of f(r) wrt r?
-6
Let x(s) = -s**3 - 16*s**2 - 14*s + 17. Let d be x(-15). What is the first derivative of -7*n**4 + d*n**4 + 4*n**4 - 4 wrt n?
-4*n**3
Suppose 3*y = -v + 3, -y - 5 = 2*v - 1. Suppose 7*n - y*n = 20. What is the second derivative of n*z**5 + 3*z - 3*z**5 - z wrt z?
20*z**3
Find the second derivative of 47*n**2 - 14*n - 47*n**2 + 7*n**4 - 5*n wrt n.
84*n**2
Let r be 2/4*(-14)/1. Let z(h) = h**4 + 7*h**2 + 7*h - 6. Let y(k) = k**4 + 3*k**2 + 3*k - 3. Let o(s) = r*y(s) + 3*z(s). What is the derivative of o(u) wrt u?
-16*u**3
Let m(b) = 4*b**3 - b**2 + 2*b - 1. Suppose 3*x + 2 = -7, -c - x = 2. Let l be m(c). What is the derivative of 11*a**3 - 11*a**3 - 2 - a**l wrt a?
-4*a**3
Find the first derivative of -5*x**2 - 20*x**2 + 6*x**2 - 4 - 30 wrt x.
-38*x
Let x(g) = -166*g**2 + 44*g. Let d(c) = -33*c**2 + 9*c. Let s(k) = -11*d(k) + 2*x(k). What is the second derivative of s(m) wrt m?
62
Let i = 8 - 9. Let q be 10 - -1*(-1)/i. Find the third derivative of q*d**2 - 2*d**2 - 4*d**4 - 7*d**2 wrt d.
-96*d
Let h(g) be the first derivative of 4*g**6/3 + 10*g**3/3 + 8. What is the third derivative of h(m) wrt m?
480*m**2
Let j(n) be the third derivative of 0 - 1/20*n**5 - 3*n**2 + 0*n + 0*n**3 + 0*n**4 - 1/30*n**6. Find the third derivative of j(h) wrt h.
-24
Let d(a) be the first derivative of 4*a - 1 + 0*a**3 - 1/2*a**4 + 0*a**2. Differentiate d(j) wrt j.
-6*j**2
Let h be (-2 - (-6 - -3))*9. Find the first derivative of -22*j**2 + 13*j**2 + h*j**2 + 3 - 3*j**4 wrt j.
-12*j**3
Suppose 8 = -0*r + 4*r. Let n(q) = -q + 4. Let i be n(r). Differentiate 0*w**2 + 2*w**2 - 2 - w**i with respect to w.
2*w
Let i(d) = -d - 2. Let g be i(-4). What is the derivative of -w - w - g*w + 4 wrt w?
-4
Let r(n) be the first derivative of 23*n**2/2 - 21*n + 14. Find the first derivative of r(q) wrt q.
23
Let v be (2/6)/((-3)/(-45)). Differentiate -4*w - v + 3*w - 3*w - w with respect to w.
-5
Suppose c - 5*n - 16 = 0, -4*c - 5*n - 8 = 28. Let u(f) = -f**3 - 3. Let b(x) = -x**3 - 1. Let v(p) = c*b(p) + u(p). What is the derivative of v(j) wrt j?
9*j**2
Let j(p) = -3*p**2 - 2*p - 3. Let o(v) = 2 + 19 + 6*v**2 + 15*v + 15*v**2. Let y(s) = -15*j(s) - 2*o(s). Differentiate y(l) wrt l.
6*l
Let o(d) be the first derivative of -2/3*d**3 + 1 + d + 0*d**2. Find the first derivative of o(t) wrt t.
-4*t
Let n(w) be the third derivative of w**7/1680 - w**6/240 + w**5/30 - 4*w**2. Let x(v) be the third derivative of n(v). Find the first derivative of x(s) wrt s.
3
Let h(w) = -w**3 - 3*w**2 - w - 1. Let x be h(-3). What is the second derivative of -x*y + y**5 + 2*y**5 - y**5 wrt y?
40*y**3
Let q(k) be the first derivative of k**4 + 2*k**2 + 7. What is the second derivative of q(v) wrt v?
24*v
Let c(q) be the third derivative of 7*q**6/60 + q**5/15 - 4*q**2. What is the third derivative of c(g) wrt g?
84
Suppose -f = -2*h + 5, 2*h + f = 3*h. What is the third derivative of 7*s**2 + 3 - 7 + 4 + h*s**3 wrt s?
30
Let d(q) be the third derivative of -2*q**7/35 + q**3/6 + 5*q**2. What is the derivative of d(a) wrt a?
-48*a**3
Find the second derivative of l**5 - 4*l + 3*l**5 + l**5 + 0*l wrt l.
100*l**3
Let a be 95/(-300) - (-2)/5. Let h(j) be the third derivative of 0 + a*j**4 - 1/6*j**3 + 0*j - 2*j**2. What is the first derivative of h(b) wrt b?
2
Suppose 0 = -5*s - 4 + 14. Suppose -s*f - f + 10 = -y, 14 = 3*f + y. What is the second derivative of -3*x + 0*x + x**f - 4*x**4 wrt x?
-36*x**2
Let l = 6 - 6. Find the first derivative of l + 4*k**3 - 2 - k**2 + k**2 wrt k.
12*k**2
Let w(o) = 0 - 2*o - 3*o + 6*o**2 + 0. Let u(c) = -2*c**2 + 2*c. Let l(a) = -8*u(a) - 3*w(a). Find the second derivative of l(b) wrt b.
-4
Differentiate 2*a + 6*a + 19 - 3*a with respect to a.
5
Let p(d) be the second derivative of 2*d**6/15 + 3*d**2 + 2*d. Differentiate p(v) wrt v.
16*v**3
Let w(x) be the third derivative of -11*x**8/168 + x**4/4 - 15*x**2. Find the second derivative of w(i) wrt i.
-440*i**3
Let q = -1 + 3. Differentiate 2*h**2 - 3 - 6*h**2 + 2*h**q + 0*h**2 wrt h.
-4*h
Let i = 16 - 13. What is the first derivative of -4*m**2 + 1 - i - 1 + m**2 wrt m?
-6*m
Let x(j) be the second derivative of -25*j**7/42 - j**4/3 + 5*j**2 + 2*j + 21. Find the third derivative of x(a) wrt a.
-1500*a**2
Find the second derivative of -7*f + 4*f + 6*f**3 - 3*f**3 wrt f.
18*f
Let m(z) = 9*z**3 - 5*z. Let f(r) = -17*r**3 + 9*r. Let p(o) = -2*f(o) - 5*m(o). What is the second derivative of p(v) wrt v?
-66*v
Let i = -19 + 28. Differentiate -i*z**4 + 4 + 2*z**4 + 1 with respect to z.
-28*z**3
Suppose 20 + 40 = 3*d. Let p be 2/10 + 56/d. What is the second derivative of -2*r**3 + 5*r**3 + r - 4*r**p wrt r?
-6*r
Let l(k) = -9*k**4 - 5*k**3 - 5*k - 11. Let r(t) = -8*t**4 - 4*t**3 - 4*t - 10. Let v(y) = 4*l(y) - 5*r(y). Differentiate v(z) wrt z.
16*z**3
What is the first derivative of 1 - 4 + 3*l**4 + 2*l**4 wrt l?
20*l**3
Suppose 0 = 3*q + 4*v - 6 - 2, 0 = 3*q - 5*v - 17. Let z(u) be the first derivative of -1/3*u**3 + 0*u + q + u**2. Find the second derivative of z(o) wrt o.
-2
Let h(v) be the first derivative of -17*v**5/5 - 2*v + 21. Find the first derivative of h(c) wrt c.
-68*c**3
Let m(x) be the third derivative of 29*x**5/60 - 5*x**3/2 + 27*x**2. Find the first derivative of m(r) wrt r.
58*r
Let q(d) be the second derivative of d**6/180 + d**5/20 + d**3/2 - 4*d. Let z(p) be the second derivative of q(p). Find the second derivative of z(o) wrt o.
4
Let o(s) = -33*s**2 + 7*s - 28. Let y(n) = 17*n** | {
"pile_set_name": "DM Mathematics"
} |
37. What is the second biggest value in a, u, -5, 1/4?
1/4
Let w(l) = -6*l**3 - 98*l**2 - 32*l + 3. Let v be w(-16). What is the second smallest value in -0.05, v, -3?
-0.05
Let z = 1647 + -1760.1. Let v = 113 + z. Let h be 0 - -1 - (-2 + 2). What is the biggest value in h, 0.5, v?
h
Let r be (0/(-1))/(-12 + (4 - -11)). What is the second biggest value in r, 2, -23, 1/5?
1/5
Let w = -11081 + 11081.4. What is the biggest value in 2/13, -5/3, w, 1/2, 2?
2
Let p = -30 + 33. Let n be (16/(-520))/(p/15). Let u = -59.95 - -60. Which is the second smallest value? (a) -2 (b) u (c) -1 (d) n
c
Let q = 302 - 345. Which is the third smallest value? (a) -1.5 (b) 0.5 (c) q (d) 4/9
d
Let z be ((-7784)/(-25298))/(3*18/39). Let p = -2.6 - -122.6. Which is the third smallest value? (a) z (b) p (c) -2/15
b
Suppose -83*f + 65 = 9*f + 985. Which is the smallest value? (a) -0.1 (b) -6 (c) f (d) -4
c
Let q(w) = w. Let z(k) = -2*k - 15. Let l(h) = 2*q(h) - z(h). Let u be l(-3). What is the second smallest value in u, 0, -11?
0
Let p = 8335 + -8334.9. What is the second biggest value in 64, p, 10, 0.2?
10
Let c = -23.65 - 0.35. Let y = c + 24.2. Let u = 117 - 1051/9. What is the third smallest value in y, 1, u?
1
Suppose -5*s + 8*s = 3*m, -m = -3*s. Suppose 10*p - 60 = 22*p. Let l be 4 - (-4 + 86/8 + -3). What is the second biggest value in l, p, s?
s
Let m = 0.34236 + 0.05764. Which is the biggest value? (a) -2/45 (b) 6 (c) m (d) -2/3 (e) -5
b
Let w be 159920/(-175) + (-28)/49. Let s = w + 915. Let k = -5 - 0. What is the third biggest value in 2/7, k, 0.01, s?
0.01
Suppose 32*p - 150 + 14 = 152. Which is the second biggest value? (a) 0.4 (b) p (c) 242
b
Let r = 90 - 90. Suppose -6*l = -5*l + 3*i + 6, 4 = 5*l - 2*i. Suppose l = -4*b - 7 - 1. What is the second biggest value in -2/9, r, b?
-2/9
Let w = -2.652 + -0.348. Let i = 140.5 + -113. Let n = 28 - i. What is the third smallest value in n, -8, -5, w?
w
Suppose -4*n - q = -1, n + 5*q + 0 = 5. Suppose -20*u = 320 - 1760. Let j be (-3)/36 - (-2886)/u. What is the third smallest value in -0.4, j, n?
j
Let o = 25.527 - 25.457. Let v = -5 + 2. Let n = 2.8 + v. Which is the third smallest value? (a) 1 (b) o (c) n
a
Let u = -5 + 0. Let t = -84283 - -84281. Let j = -1/72 - 59/72. Which is the biggest value? (a) j (b) t (c) u
a
Let o = 165 - 170. Which is the fourth smallest value? (a) 2/17 (b) o (c) -14 (d) 0.1
a
Let p be (-13)/11 + (-4)/(-22). Let f = 1271.953 + -1270. Let h = 0.047 + f. Which is the third smallest value? (a) 2/5 (b) h (c) p (d) 1/4
a
Let d = 26 - -13. Let z = 45 - d. Let b = z - 5.5. What is the fourth biggest value in -0.5, 2/3, b, 0.1?
-0.5
Let p = 675 - 677. Suppose 5*w - y = -3*y - 31, 0 = -w - 3*y - 1. What is the second smallest value in 5, p, w, 0.3?
p
Let f = 295.488 - -5.812. Let d = -288 + f. Let z = d - 13. Which is the second biggest value? (a) z (b) 4 (c) 0.02
a
Let s be 4/14 - 2/7. Let p be 83687/(-1113) + 76 - 16/14. Which is the second smallest value? (a) -14 (b) s (c) p (d) -3
d
Let t be ((-18)/21)/(1/7). Let u be (-8)/(-18) - (-9)/(162/t). Which is the smallest value? (a) -5 (b) 3 (c) u
a
Let g = -473.07 + 473. Which is the second smallest value? (a) -13 (b) 0.2 (c) g
c
Let t = -18 + 322. Let n = t + -304.2. What is the smallest value in n, 54, 2?
n
Let u = -1461.93 - -1462. Which is the third biggest value? (a) 6 (b) u (c) -11
c
Let p = -21.88272 + -0.01728. What is the third smallest value in -6, 1, p?
1
Suppose -13*t = -9*t - 8. Let p be (48/60)/(18/(-5)). Which is the third biggest value? (a) -1 (b) 0 (c) p (d) t
c
Let b = -61.7 - 10.3. Let d = 1149.3 + -1077. Let n = b + d. What is the biggest value in -3/14, n, -1?
n
Let g be (680/(-850))/(1/5). Which is the fourth smallest value? (a) -67 (b) 0.2 (c) -2 (d) g
b
Suppose 0 = 5*x - 5*r + 21 + 4, 0 = 4*r. Let i be (-214)/30 - -7 - (-1)/x. What is the third biggest value in -2, 5, i, 26?
i
Let d = 0.532 - 0.032. Let u = 47 - 41. Let b = 1.4 - -2.6. What is the third biggest value in -0.4, b, d, u?
d
Let o(q) = -q**2 - 8*q - 12. Let n be o(-3). Let l be (15/(-225))/(n/(-9)). What is the fourth smallest value in 0.1, -2, l, 1/8?
l
Let b = 40637/6 - 6773. What is the smallest value in b, -2, -3, -0.2?
-3
Let u be (-57)/836*(-2 - 12/18). What is the fourth biggest value in 6, -3, -0.07, u, -2?
-2
Let i(c) be the first derivative of -c**2 + 3*c + 5. Let b be i(2). What is the fourth biggest value in 2, b, 3, -9?
-9
Let t = -0.54 - -0.04. Suppose -3*i = -3*p + i - 15, i = -4*p - 20. Let g be -2 + (p - -6) - (-8)/11. What is the biggest value in g, -3, t?
g
Suppose 11*f - 240 = -5*f. Let j be 3*((-2)/3 - f/5). Which is the biggest value? (a) 0 (b) j (c) -3/4 (d) 4
d
Let q be ((-169)/(-3))/((-6)/(-14)). Let w = 131 - q. Let m = -33 + 36. What is the third smallest value in w, m, 1/9?
m
Let l be 20/(-90) + 1*(-5271)/(-27). Let s = -977/5 + l. Which is the third smallest value? (a) s (b) 3 (c) -4 (d) 3/7
d
Let m = 521 - 521. Which is the second biggest value? (a) 0.001 (b) -1 (c) m (d) 4
a
Let p be (1/3)/(2619/(-243) + 11/1). What is the second smallest value in -114, 9, p, 3?
p
Let l = -3358 - -3361. Let d be (0 - 24/(-9))*(-36)/(-24). Let s = -34 + 29.1. What is the third biggest value in d, s, l?
s
Let x = -30 + 35. Let v = 10062 + -10066. Which is the biggest value? (a) 2 (b) 0.4 (c) x (d) v
c
Let p(l) = 3*l - 6 - 4 - 4*l + 18. Let d be p(4). Let z be ((-5)/(-10) + 2/d)*1. Which is the second smallest value? (a) -0.2 (b) z (c) -1/10
c
Suppose 50 = 4*g - 14. Suppose -a + g = 5*f - 6, 4*a = -3*f + 20. Suppose -t + i + 13 = -2*i, 7 = -t - a*i. What is the second smallest value in 0.6, -0.1, t?
0.6
Let p = 1427.2 + -1428. Which is the third smallest value? (a) p (b) 2 (c) -7 (d) -2
a
Let y be 33 + -31 + (-410)/287. Let m be (-1 + 0)*2/7. What is the second smallest value in -5, y, 3, m?
m
Let z = 15/767 + 1369/8437. Suppose -x - 12 = 2*x. Let s = -0.072 + 0.372. Which is the fourth biggest value? (a) z (b) s (c) x (d) 5
c
Let n be 0/((-6)/(12 + -8 + -10)). Which is the second biggest value? (a) n (b) 2/9 (c) 3.59
b
Suppose -4*p - p - 15 = 0, 2*r - 4*p - 16 = 0. Let i = 16351/4 + -4087. Which is the third smallest value? (a) 4 (b) r (c) i
a
Let s = -0.3 - 4.7. Let q = -0.386 + -0.014. Let z = 38.5 - 39. What is the second biggest value in q, -1, z, s?
z
Let g = -47658 + 47619. Which is the third smallest value? (a) -1.5 (b) 0.3 (c) g
b
Suppose 3*r = 5*v + 54 + 1, -2*v - 21 = -r. Let i be (-230)/392 + (-6)/v. Let h = i - 186/539. Which is the biggest value? (a) -0.5 (b) 3 (c) h (d) 3/4
b
Let b = -319 - -315. Let v(r) = 3*r**3 + 2*r**2 - 3*r - 1. Let q be v(-3). Let a be (-4)/(-26) + q/104. What is the third biggest value in a, b, 2, 0.3?
a
Let w = 1.571 - 0.031. Let v = -2.04 + w. What is the biggest value in 4/3, v, -12?
4/3
Let c = -1.8 + 1.5. Let a = 67 - 91. Let g = -122/5 - a. What is the second biggest value in g, 0.6, c?
c
Let i = 5177 - 5173. What is the second smallest value in i, 1/5, -4, 285?
1/5
Let o(z) = -z**3 - 5*z**2 + 10*z + 49. Let i be o(-5). Which is the third biggest value? (a) 15 (b) 6 (c) i
c
Let v = 1547 - 1547. What is the second smallest value in -0.2, v, -1/23?
-1/23
Let k = -54.8 + 62. Let m = 0.226 + 1.974. Let t = m - k. What is the second biggest value in -0.1, -3, t, -1?
-1
Let i = -1108.1 + 1108. What is the biggest value in -2/21, 37, i, -0.4, -4?
37
Let y = -2.93 - 0.07. Let k = 5664092/15 - 377606. Which is the biggest value? (a) -8 (b) 4 (c) k (d) y
b
Suppose 5*r = -5*d - 50, -3*d - 25 = -d + 3*r. What is the smallest value in -57, d, 0?
-57
Let l = -3.08 - -3. Let t = 36.07 - 36.29. Let n = t + l. Which is the second biggest value? (a) 0.2 (b) -4 (c) n (d) 4
a
Let f be (-39376)/(-36) + (1 - (-49)/(-63)). Let c = f - 83141/76. What is the second biggest value in -3, -2/3, c, 5?
c
Let j = 18 + -17.7. Let h = -779 - -776. Which is the third smallest value? (a) -14 (b) h (c) 2/3 (d) j
d
Suppose 2992*i = 2982*i + 30. What is the second smallest value in 6, -4/13, i?
i
Let g be 4/(-14) - 68/(-42). Let u = -64.44 - 1.56. Let b = u + 65.7. What is the smallest value in g, 2/7, b?
b
Let u = 460 + -4 | {
"pile_set_name": "DM Mathematics"
} |
5*v**2 + v. Suppose -o + 10 = o. What is o*s(q) - 2*l(q)?
q**3 - 2*q
Let y(l) = -7*l**3 - 2*l**2 - 2. Let w(h) = h**3 - h + 1. What is -2*w(s) - y(s)?
5*s**3 + 2*s**2 + 2*s
Let s(j) = 6*j**2 - j + 4. Let b(v) = 5*v**2 - v + 3. Let n(z) = -5*z - 66. Let h be n(-14). Determine h*b(t) - 3*s(t).
2*t**2 - t
Let a(i) = -17*i + 9. Suppose -3*j + 2*h = -2 + 26, 2*h = -j. Let z(k) = -4*k + 2. Determine j*a(o) + 26*z(o).
-2*o - 2
Let t(x) = 2*x + 2. Let i(j) = -9*j - 7. What is 6*i(l) + 22*t(l)?
-10*l + 2
Let d be (2/2)/(-31 - -35). Let o(z) be the second derivative of -d*z**4 + 0 + 3*z + 0*z**2 - 1/3*z**3. Let m(y) = 4*y**2 + 3*y. Calculate -2*m(p) - 3*o(p).
p**2
Let c(s) = 3*s + 5. Let i(g) = 3*g + 6. Calculate 4*c(m) - 3*i(m).
3*m + 2
Let j(l) = -2*l - 6. Let m(h) = h + 3. Suppose -2*z = -2*i - 2, -2*z = -0 + 10. What is i*j(f) - 13*m(f)?
-f - 3
Let t(u) = 5*u - 3. Suppose -5*g = -5*m - 25, g - 3*g + m = -9. Let y(c) = 2*c - 1. What is g*t(v) - 11*y(v)?
-2*v - 1
Let m(r) = -4*r + 4. Let l(z) = -3*z + 3. Let s(n) = -5*l(n) + 4*m(n). Let x(c) = -c - 4. Give 4*s(a) + x(a).
-5*a
Let o(q) = 2*q**3 - 4*q**2 - 17*q - 4. Let j(l) = -2*l**3 + 5*l**2 + 18*l + 5. What is -4*j(y) - 5*o(y)?
-2*y**3 + 13*y
Let a(w) = 120 + w - 120. Let v(d) = 3*d**2 - 3*d. What is 3*a(n) + v(n)?
3*n**2
Let b(i) = 17*i**2 - 2*i + 6. Let x(y) be the second derivative of 2*y**4/3 - y**3/6 + 3*y**2/2 - 15*y. What is 6*b(n) - 13*x(n)?
-2*n**2 + n - 3
Let y(r) = r**3 - 4*r**2 + 3*r - 4. Let k(w) = -w**3 + 3*w**2 - 2*w + 3. Suppose -2*x - 17 = 5*j, 5*j + 13 = -x + 3*x. Give j*y(a) - 4*k(a).
a**3 - a
Let j(g) = 3*g - 7. Suppose -4*m + 1 = 29. Let i(q) = -40 + 57 + 0*q + 4*q - 27. Give m*j(x) + 5*i(x).
-x - 1
Suppose 12 = -0*q + 2*q. Let x = q + 2. Let m(y) = 3*y - 7. Let s(h) = 5*h - 11. Give x*m(i) - 5*s(i).
-i - 1
Let m(n) = 4*n**3 - 3*n + 1. Let d = -14 - -10. Let r(u) = -4*u**3 + 4*u - 1. Give d*m(o) - 3*r(o).
-4*o**3 - 1
Let b(j) = 2*j**3 + 5*j. Let q(a) = a**2 - 2*a - 5. Let z be q(4). Let v(n) = n**3 + 3*n. What is z*b(l) - 5*v(l)?
l**3
Suppose -6*g + 4 = -2*g. Let w(t) = -t**2 + 1. Let n(s) = -2*s**3 - 2*s**2 + 3. Suppose -4*z = -3*h - 21, -4*z - 3 = -h + 6*h. Give g*n(j) + h*w(j).
-2*j**3 + j**2
Let z(j) = 7*j + 4. Let n(i) = -i. Determine -3*n(l) + z(l).
10*l + 4
Let o(p) = 5*p**3 - 6*p**2 - 8*p + 6. Let k(i) = i**2 - 5 - 4*i**3 + 3*i + 4*i + i**2 + 3*i**2. Give -6*k(z) - 5*o(z).
-z**3 - 2*z
Let a be (5/((-15)/3))/((-1)/4). Let q(b) = -6*b**2 + 4*b - 1. Let g(k) = -17*k**2 + 11*k - 2. Give a*g(p) - 11*q(p).
-2*p**2 + 3
Suppose 5*n - 2*n + 9 = 0. Let m(t) = 3*t. Let j(l) = 2*l - 5. Let d(s) = -2*s + 6. Let h(c) = -5*d(c) - 6*j(c). Calculate n*m(i) - 4*h(i).
-i
Let c(j) = 4*j - 5. Let i(s) = 4*s - 6. Let z(a) = -6*c(a) + 5*i(a). Let f(d) = d. Let k be 3*((-18)/(-27) - 1/3). Determine k*z(m) + 3*f(m).
-m
Let u(y) = -1. Let h(n) = -2*n**2 + n - 2. What is h(z) - 2*u(z)?
-2*z**2 + z
Suppose -s - 3*s = 88. Let n = 0 + s. Let f(q) = -10*q - 11. Let k(d) = d + 1. What is n*k(p) - 2*f(p)?
-2*p
Let s(m) = m + 1. Let g(j) = 4*j - 7. Let v(z) = -g(z) - 2*s(z). Let h(b) = -7*b + 6. Let c = -213 - -208. Give c*v(l) + 4*h(l).
2*l - 1
Let w(f) = 4*f - 105. Let g(i) = 2*i - 53. Give -11*g(c) + 6*w(c).
2*c - 47
Let s(h) = -20*h**2 - 7. Let q(w) = 7*w**2 + 2. Determine -7*q(m) - 2*s(m).
-9*m**2
Let s(u) = -24*u**2 + 2*u + 3. Let q(g) = 23*g**2 - 2*g - 4. Determine 2*q(z) + 3*s(z).
-26*z**2 + 2*z + 1
Let b(y) = 28*y**3 - 16*y**2 + 16*y - 16. Let l be (6/12)/(3/30). Let r(g) = 9*g**3 - 5*g**2 + 5*g - 5. Determine l*b(z) - 16*r(z).
-4*z**3
Let k(d) = -3*d**2 + 4*d + 5. Let a(r) = -r**2 + 2*r + 2. What is -7*a(l) + 3*k(l)?
-2*l**2 - 2*l + 1
Let b be (-1)/(-3) - 74/6. Let o be b + (-2 - -2) + -2. Let s(j) = 2*j. Let t(y) = 5*y + 25. Let m(w) = -1. Let v(x) = 50*m(x) + 2*t(x). Give o*s(i) + 3*v(i).
2*i
Let w(z) = 2*z**2 + 5. Suppose 5*b = l + l + 30, -l - 5*b = -15. Let g(f) be the first derivative of -2*f**3/3 - 4*f + 2. Calculate l*w(h) - 6*g(h).
2*h**2 - 1
Let o(s) = s**2 + 9*s - 5. Let d(f) = f**2 + 4*f - 2. Determine -5*d(w) + 2*o(w).
-3*w**2 - 2*w
Let p(w) = w. Let k(d) = 5*d**2 + 9*d. Give -k(o) + 6*p(o).
-5*o**2 - 3*o
Let m(w) = -2*w + 2. Suppose 4*t - 6 = -2. Let h(d) = -d + 1. Suppose 2*l - 3*l - 4 = 0. What is l*h(q) + t*m(q)?
2*q - 2
Let c(s) be the first derivative of -7*s**2/2 + 3*s + 5. Let p(b) = 20*b - 8. Let a = 11 + -16. Calculate a*p(g) - 14*c(g).
-2*g - 2
Let m(i) = i**2 + 1 + 3 - 4*i**2 + 6*i. Suppose 5*f = -0*f + 4*u - 28, -2*f + 5*u = 18. Let h(g) = -2*g**2 + 5*g + 3. What is f*h(d) + 3*m(d)?
-d**2 - 2*d
Let w(b) = -3*b**2. Let z(c) be the third derivative of -3*c**5/20 + 8*c**2 + c. Give -14*w(j) + 4*z(j).
6*j**2
Let c(z) = 23*z**3 - 17*z**2 + 11*z + 17. Let l(r) be the third derivative of -r**6/30 + r**5/20 - r**4/12 - r**3/2 + 7*r**2. Give -6*c(w) - 34*l(w).
-2*w**3 + 2*w
Let i(y) = y - 1. Let b(v) = -3*v + 12. Give b(d) + 2*i(d).
-d + 10
Suppose 0 = -2*m + 5*g - 5, -5*m + 3 + 2 = 5*g. Let z be -5*(-2)/(2 + m). Let f(x) = 2*x + 4. Let p(y) = -y**2 + 4*y + 9. What is z*f(t) - 2*p(t)?
2*t**2 + 2*t + 2
Suppose -4*f + 6*f + 11 = 5*h, -3*h + 9 = 0. Let x(u) = 16*u - 1. Let n(p) = 5*p. Give f*x(k) - 7*n(k).
-3*k - 2
Let z(y) = -y**3 + y**2 + y. Let g(p) = -26*p**3 - 5*p**2 - 5*p. What is g(s) + 6*z(s)?
-32*s**3 + s**2 + s
Let o(m) = -4*m**2 - m**2 + 1 + 2*m + 8*m**2 + 0*m**2. Let u(w) = 3*w**2 + w. Determine -2*o(r) + 3*u(r).
3*r**2 - r - 2
Let u(k) = -5 + 0 + 4 - k + 2. Let h(i) = 15*i - 10. What is -h(j) - 10*u(j)?
-5*j
Let y = -9 + 16. Let b be y/(7/(-8)) + 3. Let z(h) = 2*h**3 - 9*h**2. Let q(l) = -3*l**3 + 13*l**2. Give b*q(j) - 7*z(j).
j**3 - 2*j**2
Let q = 3 - 0. Let t(n) = -2*n**3 - 3*n - 3. Let v = 10 - 8. Let f(s) = v + 2*s + 4*s + s + 5 + 5*s**3. Give q*f(x) + 7*t(x).
x**3
Let t(z) = 3*z**2 - 6*z - 6. Let n(f) = f + 1. Calculate -4*n(p) - t(p).
-3*p**2 + 2*p + 2
Let q(f) = -f**3 + 7 - 12 + 2*f**2 - 2*f + 3. Let z(r) = -3*r**3 + 7*r**2 - 7*r - 7. Determine -14*q(i) + 4*z(i).
2*i**3
Let c(j) = 39*j - 15. Let r(p) = -8*p + 3. Calculate -2*c(s) - 11*r(s).
10*s - 3
Let q(o) = 15*o + 9. Let u(j) = j**2 + 8*j + 10. Let g be u(-7). Let t be 2 + -3 + 1 + g. Let f(d) = -8*d - 2 + 0*d - t. Determine -11*f(b) - 6*q(b).
-2*b + 1
Suppose -4*j + 0*p + 21 = -3*p, j = -2*p + 8. Let g(i) = -i**3 + i**2 + i - 1. Let n(w) = -3*w**3 + 8*w**2 + 5*w - 6. What is j*g(y) - n(y)?
-3*y**3 - 2*y**2 + y
Let t(k) = k**2 - 7*k - 5. Let y(o) = -o**2 + 8*o + 4. Give 6*t(b) + 7*y(b).
-b**2 + 14*b - 2
Let z(i) = i**3 - 5*i**2 + 2*i - 2. Let y(m) = -m**3 + 6*m**2 - 3*m + 2. Determine 5*y(u) + 6*z(u).
u**3 - 3*u - 2
Let i(y) = -3*y + 3. Let b(w) = 8*w - 10. What is 4*b(g) + 14*i(g)?
-10*g + 2
Let s(p) = 5*p**3 - 3*p - 10. Let j(f) = -2*f**3 + f + 5. What is 7*j(b) + 3*s(b)?
b**3 - 2*b + 5
Let q(b) = -b**2 + 1. Let m(y) = 32*y**2 + 10*y**2 - 4 - 38*y**2. Determine -m(d) - 3*q(d).
-d**2 + 1
Let q be 1 - (9 + -3 + -3). Let o(l) = 7*l + 5. Let h(r) = -3*r - 2. Give q*o(c) - 5*h(c).
c
Let c(g) = -2*g + 4. Let z(a) = a**3 - a + 4. Let r be z(0). Let s(n) = 2*n - 5. What is r*s(v) + 5*c(v)?
-2*v
Let q(d) be the third derivative of d**3/6 - 5*d**2. Let w(u) = -u + 4. Give 6*q(x) - w(x).
x + 2
Let m(v) be the first derivative of v**2 - v - 18. Let y(c) = c - 1. Determine m(l) + y(l).
3*l - 2
Let u(k) = 4 + 10 - 4 - 16*k. Let d be -6 - -6 - (-1 - 1). Let p(z) = 3*z - 2. What is d*u(b) + 11*p(b)?
b - 2
Let w(n) = n + 5. Let p(j) = -5*j - 21. Calculate 2*p(l) + 9*w(l).
-l + 3
Let l(d) = -d - 1. Suppose 0*n + 7 = 4*n - b, -4*b + 14 = -2*n. Let f(s) = -2*s - 1. Calculate n*f(r) - 4*l(r).
-2*r + 1
Let g be -42*(-9)/(108/(-8)). Let d(b) = -6*b. Let w(v) = v. Calculate g*w(m) - 4*d(m).
-4*m
Let m = 18 - 17. Let n(o) = -7*o**2 - 5*o + 4. Let t(g) = -g**2 - g + 1. Give m*n(u) - 5*t(u).
-2*u**2 - 1
Let w(d) = 6*d**3 + 54*d**2 - 54*d + 54. Let u(s) = -s**2 + s - 1. Determine -216*u(x) - 4*w(x).
-24*x**3
Let x(l) = 13*l + 3. Let t(d) = d + 1. Calculate 2*t(u) - x(u).
-11*u - 1
Let a(u) = 8*u**3 - 5. Let y(w) = 33*w**3 - 2*w + 2*w - 23 + 2. Determine 21*a(o) - 5*y(o).
3*o**3
Let y(w) = -4 - 2*w + 2*w**3 + 0*w**3 + 5*w - 4*w**2. Let v(o) = -3*o**3 + 5*o**2 - 4*o + 5. What is -3*v(f) - 4*y(f)?
f**3 + f**2 + 1
Suppose 0 = 4*d - | {
"pile_set_name": "DM Mathematics"
} |
r). Let q(b) = 4039 - 4039 + b. What is q(y(d))?
-d**2 + 50
Let s = 609/62 + -103/31. Let d(t) be the first derivative of s*t**2 - t + 7. Let h(y) = -y. Determine h(d(f)).
-13*f + 1
Let k(p) = -7*p - 7*p - 18*p + 11*p. Let i(j) = 15*j**2. Determine k(i(f)).
-315*f**2
Let r(a) = 18*a**2. Suppose -2*k + 4*w = -34, k - 66 = -2*k + w. Let j(b) = 23*b - 48*b + k*b. Determine j(r(s)).
-36*s**2
Let g(u) = 55*u - 257*u + 556*u. Let s(n) = -43*n**2. Give s(g(k)).
-5388588*k**2
Let j(q) be the second derivative of -q**3 - 39*q**2/2 + 3*q - 165. Let l(g) = -11*g**2. Give l(j(o)).
-396*o**2 - 5148*o - 16731
Let v(d) = -108*d**2. Let r(b) = -1 - 16742286*b + 16742303*b + 1. Give v(r(f)).
-31212*f**2
Let z(u) = -27514647*u. Let o(r) = 9*r. Calculate o(z(w)).
-247631823*w
Let n(t) = -16*t**2. Let d(u) = -115000*u**2 + 3*u + 1. What is d(n(o))?
-29440000*o**4 - 48*o**2 + 1
Let l(v) = -108*v - 121*v + 227*v. Let d = -4 - -6. Let b(u) = -6*u**2 + 2*u**d - u**2. Calculate b(l(a)).
-20*a**2
Let k(n) = -3*n + 4. Let i(a) = 35*a - 49. Let c(y) = -4*i(y) - 49*k(y). Let x = 151 + 9. Let z(w) = 160 + 4*w - x. What is z(c(s))?
28*s
Let m(g) = 8*g. Let v(z) = -141991*z. What is m(v(n))?
-1135928*n
Let s(a) = 2*a**2. Let p(b) be the first derivative of 0*b + 4/3*b**3 - 58 - 15*b**2. Determine p(s(y)).
16*y**4 - 60*y**2
Let h(o) = 66*o. Suppose -12 = -2*j + 3*m + 11, -4*m = 5*j. Let f(d) = j*d - 4*d - 19426*d**2 + 19424*d**2. Give h(f(u)).
-132*u**2
Let j(h) = 7*h + 50. Let r(c) = -21*c + 2. Let y(o) = 689*o - 65. Let z(v) = 65*r(v) + 2*y(v). Calculate j(z(m)).
91*m + 50
Let s(n) = 31230*n**2. Let g(r) = -64*r + 6. Give g(s(q)).
-1998720*q**2 + 6
Let i(d) = -45992641*d. Let q(l) = 2*l**2. Calculate q(i(f)).
4230646052309762*f**2
Let s(f) = 6*f + 1. Let o(l) = 66*l. Let t(g) be the first derivative of -5*g**2/2 + 70. Let b(r) = 2*o(r) + 27*t(r). Calculate b(s(c)).
-18*c - 3
Let b(i) be the second derivative of -1/6*i**4 + 0*i**3 + 0 + 0*i**2 + 43*i. Let x(c) = 44*c**2 - 2*c. Calculate x(b(a)).
176*a**4 + 4*a**2
Let g(t) = -6*t**2. Let q(b) = -16*b + 80. Let s(i) be the third derivative of -i**4/24 + i**3/3 + 2*i**2 + 23*i. Let o(j) = -q(j) + 40*s(j). What is g(o(z))?
-3456*z**2
Let c(x) be the third derivative of -1 + 0*x**3 + 0*x + 0*x**4 - 1/30*x**5 - 23*x**2. Let f(v) = 0*v**2 + 9*v**2 + 12*v**2. Give c(f(t)).
-882*t**4
Let y(r) be the first derivative of -4*r**3 - 1. Let b(g) be the third derivative of -5*g**4/24 + 49*g**2 - 12*g. Calculate y(b(k)).
-300*k**2
Let j(c) = -c. Let t(h) be the first derivative of h**2 + 130*h - 151. Calculate j(t(k)).
-2*k - 130
Let l(s) = -11*s. Let o(p) = -3713650*p. What is l(o(b))?
40850150*b
Let g(k) = -6*k**2. Let j(q) = -5*q**3 + 3*q**2 - q + 3. Let i be j(1). Let a(p) = -6 + 0*p**2 + 14 + 2*p**2 + i + 2. Determine a(g(v)).
72*v**4 + 10
Let s(t) = -9*t**2 - 215. Let i(w) be the first derivative of -w**2/2 - 14765. What is s(i(f))?
-9*f**2 - 215
Let x = 7 + -4. Let b(a) = -2324*a - 2 + 2329*a + x. Let q(z) = -z**2. Calculate b(q(i)).
-5*i**2 + 1
Let w(x) = 587753*x**2. Let u(n) = -612*n. Determine w(u(g)).
220139359632*g**2
Let u(d) = 10*d**2 + 20*d. Let z(f) = -f**2 - f - 1. Let o(n) = -28*n**2 - 35*n - 35. Let g(w) = o(w) - 35*z(w). What is u(g(l))?
490*l**4 + 140*l**2
Let p(x) = 22*x + 10. Let r(z) = -2*z**2 - 34*z. Let i(y) = -7*y**2 - 136*y. Let b(g) = -i(g) + 4*r(g). What is p(b(k))?
-22*k**2 + 10
Let m(t) = 1177*t + 1. Let x(w) = 4440*w**2. Calculate m(x(h)).
5225880*h**2 + 1
Let j(p) = 144*p + 1154. Let b be j(-8). Let r(f) be the third derivative of -19*f**b + 7/60*f**5 + 0*f**3 + 0*f**4 + 0 + 0*f. Let t(w) = -w. Calculate t(r(m)).
-7*m**2
Let l = 1635 - 1630. Let a(r) be the third derivative of 0*r**4 + 2*r**2 - 3/10*r**l + 0*r + 0 + 0*r**3. Let o(b) = 2*b. Calculate o(a(d)).
-36*d**2
Let l(k) = -2*k**2 - 5*k. Let a(q) = -q. Let u(s) = -5*a(s) + l(s). Let r = 846 + -842. Let g(i) = r*i + 0*i + 19*i - 21*i. What is u(g(p))?
-8*p**2
Let a(c) = -8944*c. Let l(r) = -1734*r + 3. Give a(l(j)).
15508896*j - 26832
Let r(q) = -q**2 - 8*q. Let z(i) = -17325*i. Determine z(r(v)).
17325*v**2 + 138600*v
Let k(y) = 2 - 2 - 9377*y + 9376*y. Let d(g) = 30*g - 13. Give d(k(f)).
-30*f - 13
Let v(i) = 44700133*i + 2. Let q(j) = 12*j. What is q(v(t))?
536401596*t + 24
Let b(x) = 3*x. Let v be (-1)/(-8)*-38*-28. Let h = v + -3. Let a(k) = -68*k + h*k - 66*k. Give a(b(w)).
-12*w
Let h(c) be the second derivative of -c**3/3 + 15*c. Let j(b) = -6. Let k(i) = i**2 - 18*i + 42. Let z(n) = 7*j(n) + k(n). Give z(h(d)).
4*d**2 + 36*d
Let c(d) = -30*d + 10 + 70*d - 46*d - 10. Let i(s) = -s**2 - 1. Let k(m) = -1. Let u(v) = i(v) - k(v). Determine c(u(f)).
6*f**2
Let w(r) = 90534*r. Let j(n) = 36*n**2. Determine w(j(p)).
3259224*p**2
Let k(a) = 3*a**2. Let l(y) be the third derivative of -3*y**4/8 - y**3/6 - 5084*y**2. What is k(l(f))?
243*f**2 + 54*f + 3
Let k(h) = 218213*h. Let m(r) = 35*r. Calculate m(k(z)).
7637455*z
Let d(c) = 11*c - 6. Let y(l) = 15*l - 9. Let b(g) = 7*d(g) - 5*y(g). Let a(u) = -9*u - 18. Let w(t) = a(t) + 6*b(t). Let p(f) = 81*f**2. What is p(w(r))?
729*r**2
Let a(g) = 2*g + 188. Let s(y) = 61109*y. Give a(s(b)).
122218*b + 188
Let f(s) = -1. Let y(l) = -2*l**2 + 2. Let w be ((-12)/10)/((-32)/(-80)). Let m(j) = w*y(j) - 6*f(j). Let p(g) = g**2. Calculate p(m(r)).
36*r**4
Let b(s) = 43*s**2 + 25416660*s - 25416660*s. Let a(w) = 27*w. Give a(b(r)).
1161*r**2
Let c(p) = 3*p**2. Let q(y) = -119*y + 98. Suppose 220 - 208 = -3*b. Let t(z) = 5*z - 4. Let m(a) = b*q(a) - 98*t(a). Determine c(m(l)).
588*l**2
Let m(q) = -23126*q**2. Let a(x) = -337*x. Give m(a(r)).
-2626396694*r**2
Let k(f) = 6*f. Let c(i) be the second derivative of 53*i**3/3 - 8*i**2 - 5*i - 2. Let r(s) = 35*s - 6. Let d(h) = -3*c(h) + 8*r(h). Determine d(k(g)).
-228*g
Let k(g) = 61*g - 4. Let a(m) = -183*m + 14. Let f(n) = 2*a(n) + 7*k(n). Let d(t) = 11*t + 2*t**2 - 13*t + 2*t. What is f(d(z))?
122*z**2
Let t(g) = -3*g. Let m(y) = -113 - 152 + 263 - 57*y. Determine t(m(w)).
171*w + 6
Let s(z) = -15355 + 15355 + z**2. Let v(y) be the third derivative of 0*y**4 + 0 - 17/60*y**5 - y**2 + 0*y + 0*y**3. Calculate s(v(j)).
289*j**4
Let d(i) = 3*i**2. Let s = 29875 - 13558. Let n(c) = 16317 + 2*c**2 - s. What is d(n(k))?
12*k**4
Let m(d) = -4*d. Let g(u) = 488917*u. Determine g(m(l)).
-1955668*l
Let b(t) = -186*t - 54. Let h(u) = 14*u + 4. Let v(f) = 2*b(f) + 27*h(f). Let w(q) be the second derivative of -q**4/12 - 67*q. Determine v(w(p)).
-6*p**2
Let a(u) = 317*u - 34. Let m(j) = -112*j + 12. Let g(f) = 6*a(f) + 17*m(f). Let s(y) = 21*y**2 - 23. What is g(s(t))?
-42*t**2 + 46
Let p(v) = 300*v**2 - 15*v. Let i(t) = -131*t + 2. What is p(i(n))?
5148300*n**2 - 155235*n + 1170
Let y(s) = -s**2. Let b(w) = 46*w - 47*w + 23*w + 104*w. Determine b(y(d)).
-126*d**2
Let w(a) = 79*a**2 - 4258 - 85*a**2 + 4258. Let c(y) = 1104*y**2. Determine w(c(m)).
-7312896*m**4
Let p(x) = 34*x. Let w(k) = -k**2 + 5*k - 2. Let q(n) = 332*n**2 + 40*n - 16. Let o(v) = -q(v) + 8*w(v). Calculate o(p(j)).
-393040*j**2
Let v(t) = -46*t - 18. Let a be v(-3). Let l(n) = 120 + 10*n - a. Let d(o) = -16*o. Give d(l(m)).
-160*m
Let b(k) = -k**3 + 4*k**2 - 2*k + 10. Let u be b(4). Let z(n) = -109 + 5*n**u + 109. Let a(p) = 2*p**2. Calculate a(z(j)).
50*j**4
Let z(v) = 30*v**2. Let l(w) = -1. Let m(x) = x + 1. Let c = -9 - -10. Let d(t) = c*l(t) + m(t). What is z(d(r))?
30*r**2
Let f(u) = 14*u**2. Suppose -3*s + h = -2600, -3*s = -7*s - 3*h + 3458. Let c(a) = -s - 4*a + 866. Determine f(c(r)).
224*r**2
Let a(l) = -491*l. Let i(o) = 52219*o. Give i(a(k)).
-25639529*k
Let z(i) be the first derivative of -i**2 + 2091. Let s(h) = 303*h - 11. Give z(s(o)).
-606*o + 22
Let h(s) = -318*s. Let d(x) = 3317*x. Determine h(d(z)).
-1054806*z
Let f(s) = -3*s. Let l = -179 - -181. Let h(m) = -6*m**l + 20*m**2 - 2*m**2. What is f(h(i))?
-36*i**2
Let o(n) = 48*n**2 - 11*n + 22. Let r(s) = -9*s**2 + 2*s - 4. Let g(y) = -6*o(y) - 33*r(y). Let t(h) = 9*h**2 + 6*h**2 + 6*h**2 - 12*h**2. What is t(g(d))?
729*d**4
Let t(c) = 42*c**2 - 1. Let r(p) = -83471*p + 83471*p - 5*p**2 + 2*p**2. Determine r(t(q)).
-5292*q**4 + 252*q**2 - 3
Let g(z) = -50654*z. Let h(j) = 77*j + 1. Give h(g(k)).
-3900358*k + 1
Let c(n) = -16*n**2 - 602*n - 14. | {
"pile_set_name": "DM Mathematics"
} |
/(t/(t*t**(-1/3)/t*t)*t*t))**(-2/5) assuming t is positive.
t**(8/15)
Simplify (s**(-8)/(s*s**(-2/69)))**(-4/11) assuming s is positive.
s**(2476/759)
Simplify (i/(i*i*i/((i*i*i**0*i*i*i)/i)))/(i*i/i**(8/7))*(i**(2/11))**1 assuming i is positive.
i**(102/77)
Simplify y**(-3/5)*y**(-1/2)*y*(y**(2/3))**(-2/75) assuming y is positive.
y**(-53/450)
Simplify (m**1*m**(-2/5))**(3/41) assuming m is positive.
m**(9/205)
Simplify z**(-7)/(z*z/(((z/z**(1/5)*z)/z)/z))*((z**(-2/3)/z)/z*z*z)/z**1 assuming z is positive.
z**(-163/15)
Simplify ((r*r**(-1/8))/((r/((r/(r/(r**(4/5)*r))*r)/r))/r))/((r**3/r)/(((r**(-2/11)*r)/r*r)/r*r)) assuming r is positive.
r**(657/440)
Simplify (v/(v*(v*v**(7/5)/v)/v*v))**(-26) assuming v is positive.
v**(182/5)
Simplify (j**10*j*j**5)**(-21) assuming j is positive.
j**(-336)
Simplify (o**(-7/4)*o)/o**23 assuming o is positive.
o**(-95/4)
Simplify (o*o**(2/3))**(-8)*o*(o/o**(-2/7))/o*o/(o**(-2/21)/o) assuming o is positive.
o**(-209/21)
Simplify (x*x/x**2*x**5)/(x*x**(-2/9)*x**9) assuming x is positive.
x**(-43/9)
Simplify (((q*q**(-9)/q)/q*q)/(q**0/q))/(q**7/q**1) assuming q is positive.
q**(-14)
Simplify c**1*c*c**(4/9) assuming c is positive.
c**(22/9)
Simplify (c**(-6)/c*c**(-3/2))/((c/(c**(2/5)*c*c))/c*c*c/(c*(c/(c**6*c)*c)/c*c*c)) assuming c is positive.
c**(-111/10)
Simplify g**(-4)*g/(g/(g/(g*g/g**(1/3)*g)*g)*g)*g*((g**(-1/3)*g)/g)**3 assuming g is positive.
g**(-17/3)
Simplify ((y**(1/6))**8)**(-1/21) assuming y is positive.
y**(-4/63)
Simplify (c**1)**(-25)/(c**(2/3)/(c**(2/21)*c*c)) assuming c is positive.
c**(-165/7)
Simplify (w**(2/47)*w*w)**27 assuming w is positive.
w**(2592/47)
Simplify ((j*j*j/(j/(((j*(j*j/(j*(j*j/(j/(j*j*(j*(j*j*j*j**(11/8)/j*j)/j*j)/j))*j*j)/j*j))/j*j)/j)/j)))/j)/j*j*j/(j/(j**12*j)) assuming j is positive.
j**(37/8)
Simplify (d*(d/((d*d**(2/7)*d)/d))/d)**(2/49) assuming d is positive.
d**(-4/343)
Simplify (p/p**(-22))/p**(-5/8) assuming p is positive.
p**(189/8)
Simplify (u*(u/((u/(u*u**(2/9)))/u*u)*u)/u*u*u)/(u/u**5) assuming u is positive.
u**(74/9)
Simplify (z**(3/10)*z*z**3)**(-36) assuming z is positive.
z**(-774/5)
Simplify g*g**1*(g**0*g)/g*(g**0*g)**22 assuming g is positive.
g**24
Simplify (((l/l**(-1/2)*l)/l)/l)**36/(l/(l*l*l/l**(-2/5)*l))**(-17) assuming l is positive.
l**(-199/5)
Simplify ((y/((y/(y**(-1/7)/y))/y))/y**7)**(-7) assuming y is positive.
y**50
Simplify (h**(-1/15)*h*h*h**(-6))**(-2/27) assuming h is positive.
h**(122/405)
Simplify (z/z**0)**(-18)*z/(z*z**(-8/5)*z*z)*z**(-1) assuming z is positive.
z**(-97/5)
Simplify c**7*c*c/c**(-2/25) assuming c is positive.
c**(227/25)
Simplify (s*s**(11/3))/s**(-2/5) assuming s is positive.
s**(76/15)
Simplify m**24*m**(1/10)*m assuming m is positive.
m**(251/10)
Simplify v**(4/13)/v*(((v/(v*v**8)*v)/v)/v)/v assuming v is positive.
v**(-139/13)
Simplify ((o*o**(1/9)*o)/((o*o**(-12/5))/o))**(-23) assuming o is positive.
o**(-4669/45)
Simplify m**18*m*m**(-28)*m*m assuming m is positive.
m**(-7)
Simplify (l*l*l**(-1/2))**(-3/11)/((l**1*l)/l)**1 assuming l is positive.
l**(-31/22)
Simplify (s*s**17*s*s)**(-50) assuming s is positive.
s**(-1000)
Simplify (b*b**(1/4))/(b/((b/(b/(b/((b**(1/10)/b*b)/b))))/b*b)) assuming b is positive.
b**(43/20)
Simplify (l**(-1/2))**(1/22)*(l**(2/5))**0 assuming l is positive.
l**(-1/44)
Simplify q**5/q**(-28) assuming q is positive.
q**33
Simplify (g*g/g**(-3/8)*g*g*g*g*(g/((g/g**(-2/11)*g)/g*g))/g*g*g)**(7/4) assuming g is positive.
g**(3815/352)
Simplify ((w/w**(-1)*w)/(w*w**(-6)))/((w**1/w)/w*w*w)**19 assuming w is positive.
w**(-11)
Simplify ((j**(-2/3)/j)/j)/(j*j**10) assuming j is positive.
j**(-41/3)
Simplify (w*w**(-3)/w)/w**(1/5) assuming w is positive.
w**(-16/5)
Simplify ((y*y/(y**(-1/5)/y)*y)/y*y)/y**(2/9)*(y*y**1)**(-18) assuming y is positive.
y**(-1441/45)
Simplify ((g*g/(g*g**(1/3)))/(g**17/g*g*g))**14 assuming g is positive.
g**(-728/3)
Simplify (v**(-10)*v**(1/6))**(1/7) assuming v is positive.
v**(-59/42)
Simplify (w**(-2/3)*w/(w*w*w**(1/6)))/(w**(7/4)/w*w**(-1/2)*w) assuming w is positive.
w**(-37/12)
Simplify b**(-6/5)*b*b/(b**(-9/2)*b) assuming b is positive.
b**(43/10)
Simplify m**(3/5)*m*m*m*m**38 assuming m is positive.
m**(208/5)
Simplify (w/w**23)/(w*w**9) assuming w is positive.
w**(-32)
Simplify (x**(-1))**(4/23)*(x*x**1)**(-41) assuming x is positive.
x**(-1890/23)
Simplify (o**(-1))**(-18/13) assuming o is positive.
o**(18/13)
Simplify ((k*k**(-10))/k)**40 assuming k is positive.
k**(-400)
Simplify d**(-3/5)/(d**(1/6)*d)*d*d**(-5/6)*d**(-2/3) assuming d is positive.
d**(-34/15)
Simplify w/w**(-15)*w**(9/4)*w assuming w is positive.
w**(77/4)
Simplify n/(n/((n*n**(-5)/n)/n))*n/(n**(-2)/n) assuming n is positive.
n**(-2)
Simplify (g/g**(-29)*g)/g**(-38) assuming g is positive.
g**69
Simplify (u**(-1/2))**(6/13)/((u**(4/9)/u)/u**(-2)) assuming u is positive.
u**(-196/117)
Simplify (o/(o**34/o))/o**(8/3) assuming o is positive.
o**(-104/3)
Simplify (i/i**(-6))**(-1/9) assuming i is positive.
i**(-7/9)
Simplify a**(-16/3)*a**(1/23) assuming a is positive.
a**(-365/69)
Simplify v/(v*v**5)*(v*v/(v/v**(-15)))/v*v assuming v is positive.
v**(-19)
Simplify (k**(4/9))**47 assuming k is positive.
k**(188/9)
Simplify (n/n**(-1/5)*n/n**(-2))/(n**(1/7)/(n/(n**(-1/7)*n*n))) assuming n is positive.
n**(16/5)
Simplify (j*j**(1/8)*j)/(j/j**7)*(j/(j*j*j**(-4/7))*j)/j**(-1/2) assuming j is positive.
j**(515/56)
Simplify (y**(-2))**(-2/61)/(y**(-1)/((y*y/(y*(((y**(2/27)*y)/y)/y)/y))/y)) assuming y is positive.
y**(4927/1647)
Simplify b/(b**(2/51)*b)*b**(1/8) assuming b is positive.
b**(35/408)
Simplify ((a**(1/3))**(-35))**(-13) assuming a is positive.
a**(455/3)
Simplify r**(1/8)/(r**(-1/13)*r) assuming r is positive.
r**(-83/104)
Simplify m**(-4/7)*m**8*m**(-1/4)/m**6 assuming m is positive.
m**(33/28)
Simplify (f**(-2/25)*f**5)**(-3/29) assuming f is positive.
f**(-369/725)
Simplify (u**(-6)/(((u/((u*(u*(u/(u**3/u))/u)/u*u)/u)*u)/u)/u))**(1/11) assuming u is positive.
u**(-7/11)
Simplify (w**(-3)*w)**(3/7)*w*w**(-2/21)*(w/((w*w**(-10/3))/w))/w assuming w is positive.
w**(71/21)
Simplify (r**24)**(-41) assuming r is positive.
r**(-984)
Simplify (p*p**(-1/6)*p**(-1/4)/p)**(-29) assuming p is positive.
p**(145/12)
Simplify (s**(2/7)/s)/(s**(2/5)*s) assuming s is positive.
s**(-74/35)
Simplify ((w*w*w*w/(w*w**22)*w)/w)/(w/(((w/(w**(-14)/w)*w)/w)/w)) assuming w is positive.
w**(-5)
Simplify k**(-2)*k*k*((k*k**(1/15))/k*k)/k assuming k is positive.
k**(1/15)
Simplify (x**1)**47*(x*x*(x*x**7)/x)/((x/((x**(-7)*x)/x))/x) assuming x is positive.
x**49
Simplify (c*(c/c**(-3))/c*(c/(c**(1/2)*c))/c)**(-2/27) assuming c is positive.
c**(-5/27)
Simplify (c/(c*c**0))/c*c**(-31) assuming c is positive.
c**(-32)
Simplify (r*r/r**(-4)*(r*r**(4/3))/r)/((r*r*(r**(-1/3)/r)/r*r)/r)**(1/23) assuming r is positive.
r**(169/23)
Simplify (m**(2/7)*m**(-3/4)*m)/(m**(2/5))**(37/3) assuming m is positive.
m**(-1847/420)
Simplify (n/(n*n*n**6)*n/(n**(-4)/n))**36 assuming n is positive.
n**(-36)
Simplify t**15*t*t*t**(9/8) assuming t is positive.
t**(145/8)
Simplify ((t*t**(1/2))/t)**(7/9)*t**(-2/21)*t*t**3 assuming t is positive.
t**(541/126)
Simplify ((d**(1/5)*d)/((d**(-4)/d)/d))**0 assuming d is positive.
1
Simplify m*m**(6/7)*m*m**(1/4)/m*m**(-4)/m**(3/2) assuming m is positive.
m**(-95/28)
Simplify (y**(-2/7))**(2/33)/(y/y**(-1/3))**(-49) assuming y is positive.
y**(15088/231)
Simplify (j*j*j/(j*(j*j**(2/9)*j*j)/j)*j*j/j**(-1/8))**(-33) assuming j is positive.
j**(-1507/24)
Simplify (a**(1/4)*a)/a**(-10/7) assuming a is positive.
a**(75/28)
Simplify s**(-1/30)/((s**(-4/13)*s)/s) assuming s is positive.
s**(107/390)
Simplify n**(2/15)*n**(3/7)*((n**(-2)/n)/n)/n**(-1) assuming n is positive.
n**(-256/105)
Simplify u*u**(26/5)*u**(-8/13)/u*u assuming u is positive.
u**(363/65)
Simplify y**9/y**(6/7) assuming y is positive.
y**(57/7)
Simplify (f**1)**(-2/15)/(f**3*f/f**6) assuming f is positive.
f**(28/15)
Simplify v**4*v*v**(-14) assuming v is positive.
v**(-9)
Simplify ((q/(q**4*q)*q*q)/(q*q**(-6)/q))**32 assuming q is positive.
q**128
Simplify v**(15/7)*v**(-27) assuming v is positive.
v**(-174/7)
Simplify (k*k/k**(23/2)*k)/(k*k**(-2/5)) assuming k is positive.
k**(-91/10)
Simplify ((f*f**4/f)/(f*f*f**0*f))/(f/ | {
"pile_set_name": "DM Mathematics"
} |
) be the third derivative of -f**5/20 - 1203*f**2. Let h(r) = 351*r**2 + 5*r. What is h(m(l))?
3159*l**4 - 15*l**2
Suppose -5*m + 2*m = 3*n, -2*n = 5*m - 9. Let u(l) = -l - l + 8*l - m*l. Let i(j) = -11*j. Let d(h) = 5*h. Let f(v) = -13*d(v) - 6*i(v). Calculate f(u(t)).
3*t
Let m(n) = -5*n. Let v(k) be the first derivative of -55 + 0*k**2 + 4/3*k**3 + 0*k. Calculate v(m(b)).
100*b**2
Let m(x) = 99*x - 14. Let n(a) = -85*a + 12. Let j(h) = 6*m(h) + 7*n(h). Let k(g) = g - 12. Calculate j(k(s)).
-s + 12
Let j(o) = 4548*o**2 - 2*o. Let z(s) = 6076*s. Determine z(j(g)).
27633648*g**2 - 12152*g
Let t(v) = 10372*v**2 - 5894*v**2 - 4476*v**2. Let r(p) be the first derivative of -p**3/2 - p - 1. Let d(x) be the first derivative of r(x). Calculate d(t(h)).
-6*h**2
Let p(v) = 980547345*v**2. Let r(t) = 2*t. What is r(p(j))?
1961094690*j**2
Let j(a) = 427*a. Let z(s) = 885922*s + 1. Determine j(z(k)).
378288694*k + 427
Let q(f) = 56*f. Let b(r) = 8168*r**2 - 6*r. What is q(b(t))?
457408*t**2 - 336*t
Let z(g) = -6*g - 45. Let n(h) = -h - 9. Let i(d) = -15*n(d) + 3*z(d). Let j(p) = p**2 - 3*p + 3. Let k be j(3). Let a(b) = k*b**2 + 57 - 57. Determine a(i(w)).
27*w**2
Let y(p) = 14*p + 6. Let u(d) = 240*d + 96. Let a(r) = u(r) - 16*y(r). Let l(v) = 79*v + 5. Determine a(l(q)).
1264*q + 80
Let q(z) = 123*z**2 - 242*z**2 + 124*z**2. Let b = 12 - 10. Let c(v) = 9 + b*v**2 - 9. Give q(c(d)).
20*d**4
Let n(y) = 5*y**2 - 6*y. Let x(u) be the second derivative of -2*u**4 - 1025*u + 1. Determine n(x(b)).
2880*b**4 + 144*b**2
Let y(s) be the second derivative of -1/12*s**4 - 2*s + 0*s**3 + 0*s**2 + 0. Let z(l) = -60*l. Calculate y(z(g)).
-3600*g**2
Let s(u) = -3*u**2. Let d(x) be the second derivative of 0*x**2 - 7/12*x**4 + 0 + 181*x + 0*x**3. Calculate s(d(z)).
-147*z**4
Let n = -53 + 71. Let b(q) = 9*q + 15*q + n*q - 28*q. Let i(r) = 12*r**2. Calculate b(i(p)).
168*p**2
Let d(i) = 28*i - 100. Let m be d(4). Let x(z) = -2*z + 2 - 2 - m*z + 11*z. Let o(a) = -19*a. Give x(o(w)).
57*w
Let x(n) = -36*n**2 + 19907508*n - 19907508*n. Let r(q) = -99*q**2. Determine x(r(c)).
-352836*c**4
Let x(c) = -221541*c. Let h(j) = -55*j**2. Calculate h(x(z)).
-2699422807455*z**2
Let f(l) = 4401*l**2 - 4*l - 182. Let z(r) = -2*r**2. Calculate f(z(o)).
17604*o**4 + 8*o**2 - 182
Let p(z) = -12*z**2. Let g(j) = -50*j + 1. Let r(y) = -402*y + 62. Let u(q) = -8*g(q) + r(q). Determine p(u(w)).
-48*w**2 + 2592*w - 34992
Suppose -2*j + 18 = j. Let r(x) = -6*x + j*x - 2*x. Let t(b) = 3*b + 15. Let u(l) = -4*l - 10. Let y(k) = -4*t(k) - 6*u(k). Give y(r(a)).
-24*a
Let f(n) = -1596*n - 888*n - 2858*n + 7559*n. Let w(u) = -3*u**2. Determine f(w(m)).
-6651*m**2
Let i(c) = 21*c. Let m(z) = 6*z**2 + 15069. Give i(m(d)).
126*d**2 + 316449
Let d(t) = 2*t**2. Let m(p) = p - 6. Let f = -181 - -184. Let o(h) = 7. Let s(z) = f*m(z) + 2*o(z). What is d(s(i))?
18*i**2 - 48*i + 32
Let o(p) = 2*p. Let r(f) = -1934*f**2 + 903. Determine r(o(d)).
-7736*d**2 + 903
Let b(s) = -s**2. Let k(v) = 126*v**2 + 15148*v - 2. What is k(b(w))?
126*w**4 - 15148*w**2 - 2
Let j(n) = 9292*n + 36. Let v(s) = -104*s. Give v(j(g)).
-966368*g - 3744
Let m(v) = v**2 + 1583*v + 2. Let b(s) = -39*s + 8. Give m(b(j)).
1521*j**2 - 62361*j + 12730
Let q(o) be the second derivative of -27*o - 65/3*o**3 - 2 + 0*o**2. Let t(l) = l. Give t(q(b)).
-130*b
Let a(u) = -17*u. Let z(r) = r**2 + 23*r + 63. Let g be z(-20). Let v(j) = -11*j + g*j + 4*j + 6*j. What is a(v(k))?
-34*k
Let g(a) be the first derivative of -5*a**3/2 - 19*a - 62. Let r(w) be the first derivative of g(w). Let f(l) = -10*l. Determine r(f(v)).
150*v
Let c(j) be the first derivative of -12*j**2 + 155. Let v(t) be the third derivative of 0*t**4 + 0 + 0*t + 5*t**2 + 0*t**3 + 1/30*t**5. What is c(v(r))?
-48*r**2
Let p(l) be the second derivative of 299*l**4/12 + 2182*l. Let f(z) = -3*z**2. Calculate f(p(j)).
-268203*j**4
Let y(z) = 955*z. Let a(d) = -2*d**2 - 34*d + 3. Determine a(y(q)).
-1824050*q**2 - 32470*q + 3
Let c(w) = -w. Let k(s) = 2*s**2 - 726824. Calculate k(c(l)).
2*l**2 - 726824
Let p(f) = 5669*f + 58. Let i be p(16). Let t(l) = i*l + 2*l**2 - 90762*l. Let z(r) = 8*r + 4. What is t(z(x))?
128*x**2 + 128*x + 32
Let v = -31 - -33. Let s(f) = -17*f**2 + 11*f**2 - 10*f**2 - 8*f**v. Let t(c) = c. Calculate s(t(x)).
-24*x**2
Let q(c) = -c**2 + 10. Suppose -25 = 20*n - 25*n. Let t(j) = -12 + j**2 - 10 - 10 + 16. Let v(m) = n*t(m) + 8*q(m). Let y(o) = -24*o. Determine v(y(g)).
-1728*g**2
Let f(u) = -12*u. Let z(k) be the third derivative of 3*k**2 + 5/24*k**4 + 0*k**3 - 2 + 0*k. What is z(f(d))?
-60*d
Suppose 5*l - 4*u - 14 = 0, l - u + 3*u = 0. Let t(j) be the first derivative of -8 + 14*j**2 - 12*j**2 - 5*j**l. Let h(m) = m**2. Determine t(h(y)).
-6*y**2
Let o(c) = 2*c. Let t(z) be the third derivative of -75*z**4/8 - 5*z**3/6 + 4421*z**2. Calculate t(o(g)).
-450*g - 5
Let k(a) = 8*a**2. Let s(o) = -2*o**2. Let t(v) = -2*k(v) - 18*s(v). Suppose -5*r - 9 = -4*z + 22, -r = -4*z + 19. Let x(q) = z*q + 0*q - 6*q. Give x(t(i)).
-40*i**2
Let k(q) = q. Let p(x) = 4*x. Let a(o) = -5*k(o) + p(o). Let d = 238 - 224. Let c(w) = -2*w + d*w + 20*w + 9*w. What is a(c(s))?
-41*s
Let o(f) = 1602*f**2 - 178*f + 534. Let y(r) = 89*r**2 - 10*r + 30. Let q(b) = -5*o(b) + 89*y(b). Let t(u) = -7*u**2. What is t(q(h))?
-55447*h**4
Let m(d) = 52*d + 2. Let y(n) be the second derivative of -5*n**3 - 2726*n. Determine m(y(r)).
-1560*r + 2
Let j(f) = 169788*f**2. Let v(i) = 62*i - 2. Give v(j(y)).
10526856*y**2 - 2
Let v(p) = -3*p - 18809. Let j(d) = 1541*d**2. Calculate v(j(a)).
-4623*a**2 - 18809
Let h(l) = -l - 5. Let q(b) = -8*b**2 + 2. Let r(g) = 35*g**2 - 8. Let i(c) = -4*q(c) - r(c). Calculate i(h(x)).
-3*x**2 - 30*x - 75
Let l(p) be the second derivative of -p**7/2520 + 3*p**4/2 + p**3/3 - 70*p. Let n(b) be the third derivative of l(b). Let k(c) = -12*c - 2. Determine n(k(q)).
-144*q**2 - 48*q - 4
Let o(t) = 16*t - 5. Let h(b) = -39*b + 12. Let m(r) = -3*h(r) - 7*o(r). Let f(j) = -5*j**2. Give f(m(q)).
-125*q**2 + 50*q - 5
Let s(g) = 13*g. Let w(m) = -11*m + 8. Let t(f) = 21*f - 10. Let v(x) = 106*x - 48. Let r(h) = -11*t(h) + 2*v(h). Let y(u) = -4*r(u) + 7*w(u). Give s(y(i)).
-13*i
Let r(w) = 260*w + 0 + 0 - 318*w + 147*w. Let a(v) = 3*v**2 + 7*v. Give a(r(s)).
23763*s**2 + 623*s
Let v(f) = -204*f**2 - 2. Let z(o) = 20226*o. Give z(v(m)).
-4126104*m**2 - 40452
Let p(n) = -9*n + 72. Let c(m) = 3*m - 23. Let b(i) = 7*c(i) + 2*p(i). Let w(s) = -2*s**2 - 28. Give b(w(v)).
-6*v**2 - 101
Let d(s) = 6*s**2 - 1751*s - 4. Let k(b) = 13*b. Give k(d(u)).
78*u**2 - 22763*u - 52
Let r(m) be the second derivative of -m**4/6 + 79*m + 2. Let s(k) = -524*k**2 - 1. Give s(r(w)).
-2096*w**4 - 1
Let m(w) = -21*w. Let v(d) = -3*d**2 - d + 6. Let y(l) = 35*l**2 - l + 9. Let x(r) = v(r) - y(r). Determine m(x(s)).
798*s**2 + 63
Let b(t) be the first derivative of -2*t**2 + 2*t**2 - 14 + 3 + 2*t**2. Let w(l) be the first derivative of l**2/2 - 16. Determine w(b(o)).
4*o
Let w(d) = -154*d**2. Let b(m) = 9*m**2 - 4*m. Suppose -2*x = 5 - 3. Let t(u) = -2*u**2 + u. Let r(h) = x*b(h) - 4*t(h). Determine r(w(g)).
-23716*g**4
Let k(b) = b. Let d(v) = -v**2 - 18*v + 23425621. What is d(k(a))?
-a**2 - 18*a + 23425621
Let u(d) = 2*d. Let t(v) be the first derivative of v**3 + 111*v**2/2 + 4719. Calculate u(t(q)).
6*q**2 + 222*q
Let g(h) = 2*h. Let l(s) be the first derivative of 44*s**3/3 - 5*s**2/2 + 3555. What is l(g(m))?
176*m**2 - 10*m
Let m(a) = 7*a**2 + 279084*a. Let l(p) = -20*p**2. Give m(l(y)).
2800*y**4 - 5581680*y**2
Let b(x) = 4*x**2 - 6*x - 174. Let v(l) = l**2 - 3*l. Let n(s) = -2*b(s) + 4*v(s). Let a(d) = -6*d. Give a(n(u)).
24*u**2 - 2088
Let g(f) = -f**2 + 6821*f. Let v(r) = r - 84. Calculate v(g(y)).
-y**2 + 6821*y - 84
Let b(q) = -2*q**2. Let u(j) be the second derivative of -1267*j**3/6 - 32*j. Give b(u(d)).
-3210578*d**2
Let i(b) = -228913*b + 7. Let v(w) = -3*w**2. Determine i(v(x)).
686739*x**2 + 7
Let f(z) = -3*z**2. Let w(r) = 130 - 229*r**2 - 599*r**2 - 61*r**2 - 130. Calculate f(w(a)).
-2370963*a**4
Let w(c) = -c**2 - 1362. Let z(p) = -4*p + 39. Let t(r) = 15*r - 143. Let i(h) = -3*t(h) - 11*z(h). What is w(i(d))?
-d**2 - 1362
Let a(v) = -2*v**2. Suppose -3*u = 4*z - 81, -4*z - 4*u + 79 = -5. | {
"pile_set_name": "DM Mathematics"
} |
qrt(48)*-2).
5*sqrt(3)
Simplify -6*2*(3 + (-5 + sqrt(700) + 0 - (2 + sqrt(700) + sqrt(700) + -2)))**2*2.
-16896 - 960*sqrt(7)
Simplify (sqrt(1372) + 6*-1*sqrt(1372) + sqrt(1372))*5 + 6*sqrt(1372)*-2*3.
-784*sqrt(7)
Simplify (2*sqrt(84)*-3 - -2*sqrt(84)*2)/(-5*sqrt(300)*1).
2*sqrt(7)/25
Simplify 4*((1*sqrt(480)*2)/(sqrt(108)/sqrt(2)*6) + 0 + -4).
-16 + 16*sqrt(5)/9
Simplify ((1*((sqrt(343) - 2*sqrt(343)*1) + 4))**2 - (-2 + 3 + (sqrt(343) - (sqrt(343) - sqrt(343)*1)*-4)))*-5.
-1790 + 315*sqrt(7)
Simplify -4*((sqrt(19) + sqrt(19) + 1 + -2 - (2 + 2 + sqrt(19)))**2 - ((sqrt(209)/(sqrt(44)/sqrt(4) + sqrt(11)) + 4)*1)**2).
-93 + 56*sqrt(19)
Simplify 1 + -1*((-4*(sqrt(242) + sqrt(242)*3*-6))**2 + 2).
-1119009
Simplify 2 + 3*((-5 + sqrt(180) + 0)**2 + -1*sqrt(15)/sqrt(3) + sqrt(5) + (2*sqrt(125))**2)*-5*-2.
-1800*sqrt(5) + 21152
Simplify (4*-2*(sqrt(5040) - ((sqrt(5040) - 1*sqrt(5040)) + sqrt(5040) - sqrt(5040))))/(-5*sqrt(25)/(1*sqrt(5)*1)) + 5.
5 + 96*sqrt(7)/5
Simplify (-1*sqrt(49)*-5)/(-2*sqrt(343))*2 - ((sqrt(7) + (sqrt(7) - sqrt(14)/sqrt(2)) + sqrt(7))*-4*5 + (sqrt(7) + (sqrt(7)*2*-4)**2)*2).
-896 + 261*sqrt(7)/7
Simplify ((((sqrt(150) - (sqrt(150) + (sqrt(150) - 2*sqrt(150)))) + sqrt(150))*-6 - sqrt(150)) + sqrt(150) - sqrt(150))/((sqrt(96)/(-1*sqrt(6)))/sqrt(8))*5*5.
1625*sqrt(3)
Simplify (sqrt(133) - 1*sqrt(133)*2 - sqrt(133)*-1*2)/(sqrt(63)/((sqrt(45)*-2)/sqrt(5)))*2.
-4*sqrt(19)
Simplify (-2*(-5 + (3 + sqrt(72) + sqrt(72)*1 + -3 + 4)*4))**2.
4224*sqrt(2) + 18916
Simplify 2 + (sqrt(5808) - (0 + sqrt(5808))*5 - (sqrt(5808) + (-2*sqrt(5808)*1 - sqrt(5808))))**2*3*-2*-2.
278786
Simplify -1*5*(5 + (sqrt(396)*-1 + -5)**2)*6*-3.
5400*sqrt(11) + 38340
Simplify ((-2 + sqrt(272))**2*-2 + 1 + (sqrt(272)*-1)**2 + sqrt(272) + -2 + 5 + 4)*6.
-1632 + 216*sqrt(17)
Simplify -1 + (0 + 3*3*(sqrt(448)*2 + 4 - sqrt(448) - -4*(sqrt(448) - sqrt(448)*1))*-2)**2.
20736*sqrt(7) + 150335
Simplify 2*(sqrt(1872) + sqrt(1872) + 2*(sqrt(1872) + -1) - (5 + -1*sqrt(1872)) - 6*((sqrt(1872) - (-1 + sqrt(1872))) + -4))**2*4*-6.
-2252208 - 63360*sqrt(13)
Simplify (-1*sqrt(130)*1 + sqrt(130)*2*-3)/(1*sqrt(160)*-5).
7*sqrt(13)/20
Simplify (-5 + (-4*-2*sqrt(44) - (sqrt(1331) - (0 + sqrt(1331)) - (sqrt(1331) + -1)**2)) + -4)*-1.
-1323 + 6*sqrt(11)
Simplify (6*(sqrt(637) - (sqrt(637) + sqrt(637) + sqrt(637) + -1 + 5)))**2 + 3 + 2*((sqrt(1053) - ((sqrt(1053) - 2*2*sqrt(1053)) + sqrt(1053)))*3)**2.
4032*sqrt(13) + 262893
Simplify -4*((-1 + 4*-4*(-6*sqrt(1584) - sqrt(1584)) + -2)*-4)**2.
-1271661120 + 516096*sqrt(11)
Simplify ((sqrt(1331) - -4*(1 + sqrt(1331)))*4*-2 - ((-2*(2 + sqrt(1331)) - (sqrt(1331) + (sqrt(1331) + 1*sqrt(1331))*-6)) + -2))**2.
28028*sqrt(11) + 3196407
Simplify sqrt(5) + -4*sqrt(320) + (sqrt(5)*1)**2 + -3 + 6*sqrt(5)*2*6*5.
2 + 329*sqrt(5)
Simplify -4*(sqrt(1694)*-4*5)/(sqrt(288) - (sqrt(288) + sqrt(288)*-4 + sqrt(288))*-1)*-1.
220*sqrt(7)/3
Simplify 2*4*(sqrt(704) + sqrt(704) + -3 + sqrt(704) + 2 - 4*sqrt(704)*1)**2*-1.
-5640 - 128*sqrt(11)
Simplify ((sqrt(39) - sqrt(351)/(sqrt(9)*-1))/(sqrt(3)*1*-2) - ((sqrt(104) + sqrt(104)*-1)*-2)/(sqrt(224)/sqrt(7))) + 4.
-sqrt(13) + 4
Simplify ((sqrt(294)*-2*3*3)/(sqrt(72) - (sqrt(72) - -1*sqrt(72))*5 - (sqrt(72) + sqrt(72)*-2)*6))**2.
147
Simplify (3 + (-5*sqrt(832)*2*-4 + -3)*6*-2)**2.
-299520*sqrt(13) + 191694321
Simplify (3 + 5*(sqrt(68) + 0) + sqrt(68) - (sqrt(425) + 4 - sqrt(51)/sqrt(75)))*2.
-2 + 72*sqrt(17)/5
Simplify -2 + (-4 + sqrt(3888) + -3)**2 + 2 + 4*sqrt(81)/sqrt(3).
-492*sqrt(3) + 3937
Simplify 0 + 1 + ((1*sqrt(176)*2)**2 - (sqrt(176)*2)**2*3 - (5*(0 + sqrt(176) + sqrt(176)) + (sqrt(176) - (5 + 1*sqrt(176) + sqrt(176)))**2)) + -4.
-1612 - 80*sqrt(11)
Simplify ((4 + (sqrt(847)*-3 + 1 - (5 + sqrt(847) + 4 + sqrt(847))))*-5 + 1)**2.
11550*sqrt(7) + 529816
Simplify -4 + (5*sqrt(704) + -3 - sqrt(704))*-3*3.
-288*sqrt(11) + 23
Simplify (-3 + (sqrt(204) - -2*sqrt(204)*3 - sqrt(204))/(-3*sqrt(24)/sqrt(2)) + (sqrt(85)/(sqrt(20)/sqrt(4)) - (sqrt(17)*-1 + -2)))**2.
1
Simplify 3*(6*sqrt(108)*1 + sqrt(108)) - ((sqrt(3) + sqrt(27)/sqrt(144) - sqrt(9)/(sqrt(3)*-2)) + -2).
2 + 497*sqrt(3)/4
Simplify (-4 + (6*2*sqrt(13) + -2 + 1*sqrt(13) - (5 + sqrt(1053)*-4)))**2*1.
-1078*sqrt(13) + 31334
Simplify -1*((sqrt(1573) + -3 + 2 + 5 - (-2 + -4 + sqrt(1573)*2))*5)**2.
-41825 + 5500*sqrt(13)
Simplify (sqrt(52))**2*-6 + 3 + 0 - ((sqrt(468) + 1)*-5 - (-3 + (sqrt(468) - (sqrt(468) + (0 + sqrt(468) - sqrt(468))))))**2.
-12013 - 120*sqrt(13)
Simplify (-4 + 6*(-6*1*sqrt(891) + (sqrt(891) - ((sqrt(891) + 0 + sqrt(891))*-5 + sqrt(891)))) + 4 + -1)**2.
-432*sqrt(11) + 513217
Simplify ((sqrt(44) - 2*sqrt(44)*6)/(sqrt(10)/sqrt(80)))/(-3*-5*sqrt(539)*-2).
22*sqrt(2)/105
Simplify (2 + 2*sqrt(125)*1 + -1 + sqrt(125) + -1 + ((sqrt(125) + -2*sqrt(125))*-1 - sqrt(125)*-3*-1))**2.
125
Simplify (5*(-5 + -3 + -1*(sqrt(1088)*2*6 + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + sqrt(1088)*1*-5))))))**2.
25600*sqrt(17) + 1742400
Simplify (0 + -2*(0 + sqrt(72) + sqrt(72) + 1 - (-3 + sqrt(72) + (-1*sqrt(72) - sqrt(72))))**2 + -1)*6.
-7974 - 1728*sqrt(2)
Simplify ((-4 + 1*sqrt(832) + (sqrt(832) - -5*((0 + sqrt(832) - sqrt(832)) + sqrt(832))))**2 + ((1 + sqrt(832) + 1 - sqrt(832)) + 5)**2)*3.
-1344*sqrt(13) + 122499
Simplify (-2*(-2 + (3*sqrt(76) - sqrt(76)))*3)**2 - (3 + sqrt(76)*-3 + sqrt(76)*2 + 3).
-574*sqrt(19) + 11082
Simplify (-3*(2 + sqrt(2736) + 2 + sqrt(2736) - sqrt(2736)) + 2 - (-4*(2 + sqrt(2736)) - (3*-2*sqrt(2736) + sqrt(2736) + sqrt(2736))))**2.
144*sqrt(19) + 24628
Simplify (-6*(sqrt(170) + (sqrt(170) - sqrt(170)*4) + sqrt(170)) + sqrt(170) - (sqrt(170)*4*-5 + sqrt(170)))/(6*-3*sqrt(90)*3).
-13*sqrt(17)/81
Simplify (-2 + 5*(sqrt(72) + -1*sqrt(72)) - (sqrt(98) + 0 + (-4*sqrt(2) - sqrt(2))*-6))**2.
148*sqrt(2) + 2742
Simplify (-1 + (-1*sqrt(891) + 3 - (-2*sqrt(891) + -3)) + (3 + -2 + sqrt(891) - sqrt(891))*3*-6)**2.
-234*sqrt(11) + 1060
Simplify (-6*(sqrt(686) + (-1*sqrt(686) - sqrt(686) - sqrt(686)) - sqrt(896)*-1)/(sqrt(343) + sqrt(343) + -4*sqrt(343)*-2 + sqrt(343) + sqrt(343)) + 5)**2.
30*sqrt(2)/7 + 1243/49
Simplify (3*sqrt(252)*-2 - (sqrt(252) + -1*sqrt(252) + -2)) + (-5 + (1*sqrt(567))**2 + -5)*-5.
-2783 - 36*sqrt(7)
Simplify (3 + -1*(2*sqrt(468) + sqrt(468)))**2*6 - (4 + (0 + (sqrt(468) - (-1*sqrt(468) - sqrt(468))))**2 + 0).
-648*sqrt(13) + 21110
Simplify -1 + (((2*sqrt(5200)*6 + sqrt(5200) + sqrt(5200) + sqrt(5200))*1)/(-4*-3*(sqrt(256) + (sqrt(256) - (sqrt(256) + sqrt(256) + 1*sqrt(256))))))**2.
7869/256
Simplify (sqrt(5184)*2*4)/(sqrt(12) - sqrt(36)/(sqrt(12)/sqrt(4)) - 1*sqrt(12)*1)*-1 + -1.
-1 + 96*sqrt(3)
Simplify (1 + -1 + (sqrt(11) - sqrt(396)*2)**2)*3 + ((sqrt(11) + sqrt(44)/sqrt(4)*4)**2 - sqrt(44)/(sqrt(4)*-3 + sqrt(4)))*-2.
-sqrt(11) + 3443
Simplify 3*(2*sqrt(45)/(sqrt(81)/sqrt(9)) + ((-5*sqrt(750) + sqrt(30) - sqrt(30))/sqrt(6))**2).
6*sqrt(5) + 9375
Simplify ((3*sqrt(49)*-3 - 3*sqrt(2401))/((-3*sqrt(7) - sqrt(7))*-2 + sqrt(7) - 1*sqrt(7)*-2))**2.
6300/121
Simplify (-6*(4 + (-3 + sqrt(832))*1 - (1 + sqrt(832) + 2 + sqrt(832) - 2*1*sqrt(832))) + -1)**2.
-1056*sqrt(13) + 30073
Simplify 2*(3*((sqrt(36) + (sqrt(36) - sqrt(144)/sqrt(16)))/(sqrt(48)/sqrt(4)*4) - (sqrt(3)*-1 + 2 - (sqrt(3) - (sqrt(9) + sqrt(9)*3)/sqrt(3)))))**2.
117*sqrt(3) + 6867/32
Simplify (3 + -1 + -2*sqrt(468) + sqrt(468) + -3*sqrt(468) + -2 + sqrt(468) + -5*((sqrt(468) - (sqrt(468) + -1)) + 3) + 3)**2.
612*sqrt(13) + 4501
Simplify ((1*sqrt(65) + sqrt(65))/sqrt(5) - ((sqrt(208)/sqrt(4) + sqrt(52))/sqrt(4))**2)*4 + (1 + sqrt(3328))*4.
-204 + 72*sqrt(13)
Simplify 6*(5 + 1*(5 + sqrt(17) + -1)*3*1).
18*sqrt(17) + 102
Simplify (4 + ((-2 + 0 + (sqrt(5) - (1 + sqrt(5))))*3 - ((sqrt(500) + -1 - sqrt(500))*-4 + -3)))**2.
36
Simplify (5 + -3 + (sqrt(300) + (sqrt(300) - sqrt(300)*2) - sqrt(12)/(sqrt(24)/sqrt(6))) + 2*(sqrt(363) + 1))**2.
168*sqrt(3) + 1339
Simplify 4*(3 + -1 + (-1*-1*sqrt(68))/(sqrt(8)/(sqrt(8)/sqrt(4))) + 1 + 0)**2.
24*sqrt(17) + 104
Simplify ((3 + 5 + -1*sqrt(396) + -2 + sqrt(396)*1 + 3)*-1*2)**2.
324
Simplify (-1 + (-1*sqrt(52)/sqrt(4))**2 + 3 - ((sqrt(208)*-2)/sqrt(4) + -1*(sqrt(156)/sqrt(3) + sqrt(52)) + sqrt(52))) + -5.
10 + 6*sqrt(13)
Simplify -5*(2 + sqrt(1300) + (sqrt(1300) + 3 - sqrt(1300)) + -3 - ((-5 + sqrt(1872))**2 - (0 + sqrt(1573)))).
-705 | {
"pile_set_name": "DM Mathematics"
} |
True
Is 402929167 a composite number?
True
Is 22826783033 a prime number?
True
Is 10693189919 composite?
False
Is 32779793 a prime number?
True
Is 18606671365 a prime number?
False
Is 2543589493 a prime number?
False
Is 65278075619 prime?
True
Is 19209641683 composite?
False
Is 3995178302 composite?
True
Is 1523754629 a prime number?
False
Is 2961773989 prime?
True
Is 4661205677 composite?
False
Is 758060839 a composite number?
True
Is 324068151371 a composite number?
False
Is 2890566149 a composite number?
False
Is 5712336703 composite?
True
Is 26312674523 composite?
True
Is 6982164139 composite?
False
Is 1542556651 composite?
False
Is 4528863007 a composite number?
True
Is 1959697793 a prime number?
True
Is 24453009827 composite?
False
Is 592919501 composite?
True
Is 1932982141 a composite number?
True
Is 17436343853 prime?
False
Is 4697510213 composite?
True
Is 3794599667 a composite number?
False
Is 1313053051 prime?
True
Is 1129249169 prime?
True
Is 59594252087 prime?
True
Is 7170694499 a prime number?
True
Is 196064161 a composite number?
False
Is 6035766827 a composite number?
True
Is 53382220219 composite?
False
Is 581957161 a prime number?
False
Is 118563407 composite?
True
Is 5271723767 a composite number?
False
Is 560641409 composite?
False
Is 32675674793 composite?
False
Is 641111089 a composite number?
True
Is 38372321257 a prime number?
True
Is 17512124789 a prime number?
True
Is 3682981067 composite?
True
Is 20490101521 prime?
True
Is 2089523981 composite?
False
Is 155198984351 a composite number?
False
Is 975528955 a prime number?
False
Is 501549913 prime?
True
Is 39063323509 a composite number?
True
Is 478268909 prime?
True
Is 47554007 prime?
False
Is 1408159579 prime?
False
Is 47602715581 a composite number?
False
Is 3787077269 composite?
True
Is 71749789 composite?
True
Is 8486609113 a composite number?
True
Is 919884547 a composite number?
False
Is 80479871 prime?
False
Is 3344122463 a composite number?
True
Is 3442897343 prime?
False
Is 4923032209 a composite number?
True
Is 1658392129 a prime number?
True
Is 594477450601 composite?
False
Is 267510977 a composite number?
False
Is 542341753 a composite number?
True
Is 2919162847 composite?
False
Is 12936878797 a composite number?
False
Is 12756810263 prime?
True
Is 6109417937 composite?
True
Is 3893331847 composite?
True
Is 1812312734 a composite number?
True
Is 14046183491 composite?
False
Is 1542523943 composite?
False
Is 37378263983 a prime number?
True
Is 305209 composite?
False
Is 6650190097 composite?
False
Is 5685748399 prime?
False
Is 182876733899 prime?
False
Is 3755379161 prime?
False
Is 51948817 a composite number?
True
Is 3157396103 composite?
True
Is 6166614334 composite?
True
Is 5683728301 a prime number?
True
Is 625539029 a composite number?
True
Is 81946056977 prime?
True
Is 3296858713 prime?
True
Is 714838223 a prime number?
False
Is 12763672345 a prime number?
False
Is 2518622461 a prime number?
True
Is 761567693 a composite number?
True
Is 59938028461 composite?
False
Is 553776693441 a composite number?
True
Is 98239605227 a composite number?
False
Is 49266248921 prime?
False
Is 16161737261 prime?
False
Is 158069623 composite?
False
Is 74689717811 prime?
True
Is 40766651 a composite number?
False
Is 13126205003 a composite number?
True
Is 7181196511 a composite number?
True
Is 90717218891 a prime number?
False
Is 16755900209 a prime number?
True
Is 65390153 a composite number?
True
Is 153855151 composite?
True
Is 13444974031 a composite number?
True
Is 1223480519 a prime number?
True
Is 1484447501 prime?
False
Is 9167541067 a prime number?
False
Is 201894491 prime?
False
Is 671798437 a composite number?
True
Is 238619653 a composite number?
False
Is 6948410011 composite?
False
Is 5820053179 a composite number?
True
Is 473535533 composite?
True
Is 28151873429 a prime number?
True
Is 25288762919 a composite number?
True
Is 458989367 a composite number?
False
Is 1724460293 prime?
False
Is 100092630479 prime?
True
Is 72486114541 a prime number?
False
Is 759983209 composite?
True
Is 2146072627 a composite number?
False
Is 1127850571 prime?
False
Is 329451924527 a prime number?
False
Is 980974409 a prime number?
False
Is 1454627191 a prime number?
False
Is 3740051261 a composite number?
False
Is 2289986051 a composite number?
True
Is 7559281307 prime?
True
Is 6406580941 prime?
True
Is 32885398811 a composite number?
True
Is 4919452211 a prime number?
True
Is 374721161 composite?
False
Is 3406181 a prime number?
True
Is 253632182 prime?
False
Is 725497987 a prime number?
False
Is 15603058939 composite?
True
Is 2792712809 prime?
True
Is 417295979303 a prime number?
False
Is 19668317269 composite?
False
Is 113395468343 composite?
False
Is 3078672997 a prime number?
True
Is 11705082861 prime?
False
Is 111038399 composite?
False
Is 9081844303 a prime number?
False
Is 19797679957 a composite number?
True
Is 6775115467 a prime number?
True
Is 1316225641 a prime number?
False
Is 37777927349 prime?
True
Is 504081119 composite?
False
Is 123139616933 a prime number?
True
Is 4180538837 prime?
True
Is 22939654499 a prime number?
True
Is 1828483039 a prime number?
True
Is 10821530485 composite?
True
Is 11241786481 a prime number?
True
Is 207760387 prime?
True
Is 13608930211 composite?
False
Is 1573447217 a prime number?
True
Is 4573580707 prime?
True
Is 14734105907 a prime number?
True
Is 18459477599 composite?
True
Is 2231350409 prime?
True
Is 868014347 composite?
True
Is 1302840829 a prime number?
False
Is 19316117413 a composite number?
False
Is 741918297 prime?
False
Is 26118377 a prime number?
False
Is 180780441409 composite?
False
Is 360297809 a composite number?
True
Is 17227470983 prime?
True
Is 261380569 composite?
False
Is 55343013161 prime?
True
Is 4536790127 prime?
True
Is 130523581 composite?
True
Is 409227059 composite?
False
Is 55485448927 prime?
False
Is 8412522609 composite?
True
Is 570291431 prime?
True
Is 1579468873 a prime number?
False
Is 34562277011 a composite number?
False
Is 336300557 a prime number?
False
Is 3093031042 a prime number?
False
Is 8284079093 a composite number?
False
Is 21497153971 a prime number?
False
Is 5495783621 a prime number?
False
Is 148652983 prime?
False
Is 25827250483 a composite number?
True
Is 239443231 a composite number?
False
Is 6311935807 prime?
False
Is 4630711199 a prime number?
True
Is 25801665887 a composite number?
False
Is 14335533767 a composite number?
False
Is 1789467437 composite?
False
Is 31972759633 a prime number?
False
Is 82784819393 a prime number?
True
Is 19804621 composite?
True
Is 4354976803 a prime number?
True
Is 2452834441 a prime number?
False
Is 17066716201 composite?
True
Is 8322884302 composite?
True
Is 166236515 prime?
False
Is 46691335417 a composite number?
False
Is 60363287681 a composite number?
True
Is 27856749793 a prime number?
True
Is 1806654887 a composite number?
False
Is 84323419 a prime number?
False
Is 1135931953 a composite number?
True
Is 27265954511 a prime number?
True
Is 791623747 a composite number?
False
Is 16188894745 a prime number?
False
Is 3385114183 a prime number?
False
Is 7005689533 composite?
False
Is 4739854831 prime?
False
Is 156539917139 a composite number?
False
Is 2568930239 prime?
False
Is 59194207 a prime number?
True
Is 2602437297 prime?
False
Is 101149783645 prime?
False
Is 1831736921 a prime number?
False
Is 18561913001 composite?
False
Is 10542179849 a composite number?
True
Is 1432311761 prime?
False
Is 2872095673 a prime number?
True
Is 141283976051 a prime number?
True
Is 415604087 prime?
True
Is 790144841 a composite number?
True
Is 464436903419 a composite number?
False
Is 157354963 prime?
True
Is 29957186309 a composite number?
False
Is 35531003327 composite?
False
Is 2389756841 a composite number?
True
Is 10597171121 a composite number?
True
Is 154644205943 prime?
True
Is 1452392849 a composite number?
False
Is 1652551777 prime?
True
Is 367953571 a prime number?
True
Is 540996293 prime?
True
Is 374430895 a prime number?
False
Is 1560655423 a prime number?
True
Is 1315047407 prime?
False
Is 644877743 a prime number?
True
Is 266576387885 a prime number?
False
Is 961969261 composite?
True
Is 2331584693 a prime number?
False
Is 4171957727 a composi | {
"pile_set_name": "DM Mathematics"
} |
et s be 1/7 - (-54)/14. Suppose -4*n = -s*g - 124, -n + 3*g = -5*n + 131. Is n a multiple of 16?
True
Let l(s) = s**3 - 9*s**2 - 9*s - 5. Let q be l(10). Suppose 96 = -x + q*x. Is 12 a factor of x?
True
Suppose 0 = -2*s + 134 - 38. Does 11 divide s?
False
Let w(q) = 11*q + 5. Let r be w(7). Let k = -58 + r. Is 12 a factor of k?
True
Let r be (-282)/10 - (-5)/25. Let g = r + 54. Is g a multiple of 13?
True
Suppose 90 = -4*l + 486. Is l a multiple of 32?
False
Let k(j) = 0*j + 3*j**2 - 4*j**2 + 0*j**2 - 2*j - 5*j**3. Does 12 divide k(-2)?
False
Let d = -54 + 89. Is d a multiple of 6?
False
Let g(i) = 415*i + 2. Is g(1) a multiple of 15?
False
Let l = -76 - -172. Is l a multiple of 20?
False
Let h(n) = 3*n - 7. Let j be h(4). Suppose -j*b + 0*w + 258 = 4*w, 4*b - 192 = 4*w. Is 10 a factor of b?
True
Let d(k) = k**2 - 4*k - 8. Let m be d(6). Suppose 0 = 4*v + 5*b + 6 + 4, -3*v + 2*b = -m. Let a = 3 + v. Is a a multiple of 2?
False
Let r(z) = z - 1 + 0*z + 2. Let y(m) = -m - 1. Let u(k) = -7*r(k) - 4*y(k). Is 5 a factor of u(-4)?
False
Suppose -7*m + 4*m = -309. Is 12 a factor of m?
False
Let a(y) = -2*y**3 - 4*y**2 - 2*y + 1. Let l = 0 - 2. Does 2 divide a(l)?
False
Let b = 25 - -20. Does 9 divide b?
True
Let t = 3 - 1. Let n = 4 - t. Suppose -f = -n*j - 0*f + 47, 5*j = -3*f + 101. Is 11 a factor of j?
True
Let b(p) = 22*p - 10. Does 8 divide b(3)?
True
Let q = -39 - 2. Let i = q + 59. Does 6 divide i?
True
Let c = -11 + 25. Let w = 22 - c. Is 4 a factor of w?
True
Let b = 28 + 47. Does 9 divide b?
False
Let w(f) = f - 3. Let g be w(10). Suppose 3*r = 2*r - 7. Let u = g - r. Is u a multiple of 14?
True
Let m be (207/(-9))/(2/(-6)). Let g = m - 40. Is 29 a factor of g?
True
Let y = -3 + 5. Let b be (7/7)/(1/3). Suppose y*q + b = -0*x + x, -q - 6 = -2*x. Is 2 a factor of x?
False
Let d(k) = -11*k**3 - 2*k**2 + 2*k + 1. Let c be d(-2). Let p = c - 53. Does 9 divide p?
False
Suppose -3*h + 3*q = -h - 2, -3*h + 5*q = -1. Let c(f) = f**3 - 8*f**2 + 7*f + 9. Let a be c(h). Suppose -119 - a = -4*l. Is 13 a factor of l?
False
Let b(r) = r - 3. Let a be b(5). Suppose 2*x + a*x + 452 = 0. Let j = x + 161. Does 21 divide j?
False
Suppose 0 = -4*x + 2*h - 2 - 0, 0 = x + h - 4. Let a be (x/2)/(3/(-102)). Is 1 + -1 - (a - -1) a multiple of 16?
True
Suppose 3*l - 25 = -4*j, 5*j - 2*j = -l + 15. Suppose -l*w + 8 = -w. Suppose w*y - 10 - 30 = 0. Is 10 a factor of y?
True
Is 11 a factor of 1/(-1*(-2)/22)?
True
Let a(q) = -q**2 + 9*q + 1. Let x be a(5). Let s = 3 + x. Does 9 divide s?
False
Let r(j) = -j**3 - j + 2. Let u be r(2). Does 11 divide (-138)/(-8) - (-2)/u?
False
Let o(j) = 16*j**3 + 2*j**2 - 1. Let r be o(1). Suppose r = 4*q - 3. Does 5 divide q?
True
Let c(o) = o**2 + 5*o. Let z be 106/(-22) - 4/22. Let i be c(z). Is 5 a factor of (4/6 - i)*15?
True
Let i be -3 + 4 + 2/(-1). Let q(b) = 15*b + 7. Let z(y) = 46*y + 20. Let n(m) = 17*q(m) - 6*z(m). Is 10 a factor of n(i)?
True
Suppose -4*z - 152 = -4*y, -73 = -2*y + 2*z + z. Does 8 divide y?
False
Suppose l + 0*r + r = 23, 0 = l + 5*r - 35. Suppose j - l = -3*j. Does 5 divide j?
True
Let g = -12 - -9. Let q = 33 - g. Does 18 divide q?
True
Let c be 3*(-4)/6*1. Let b be 0 + (c - 9/(-3)). Is 29 + b + 1 + 0 a multiple of 14?
False
Let q = 3 - -37. Is 16 a factor of q?
False
Let r = 56 + -17. Is 11 a factor of (0 + r/(-5))*-5?
False
Suppose 5*k + 0 - 15 = 0. Let t = 4 - k. Does 12 divide (-2 - t) + 2 + 47?
False
Let a(g) = -g**3 + 4*g**2 - 3*g + 2. Let j(t) = -t**2 + 7*t - 7. Let i be j(5). Let w be a(i). Is (16/(-10))/(w/(-15)) a multiple of 4?
True
Let p be (-88)/(-14) - (-4)/(-14). Suppose 0 = -l - 6 + 22. Suppose -t + l = -p. Does 11 divide t?
True
Let i = -1 - -4. Suppose 12 = 5*d - i, 3*d - 489 = -5*k. Let x = -66 + k. Is 11 a factor of x?
False
Let x(m) = 15*m + 3. Does 13 divide x(3)?
False
Let d(n) be the second derivative of n**4/12 - n**3/2 - 2*n**2 + 2*n. Does 6 divide d(-3)?
False
Let b be (-2)/(-8)*-2*0. Suppose 0 = 3*k - b*k - 24. Suppose 2*t = -2*w + 4 + 14, -4*t = -k. Does 7 divide w?
True
Let z(g) = -5*g - 14. Suppose -d - 4*a + 4 = -3*d, -5*d - 38 = 4*a. Does 16 divide z(d)?
True
Suppose 5*w - 97 = 23. Is w a multiple of 12?
True
Let d = 26 + 2. Is d a multiple of 14?
True
Let m(x) = -x**3 - 7*x**2 - 10*x - 9. Suppose 5*t = 2*t - 18. Let v be m(t). Let n = v + -1. Does 14 divide n?
True
Suppose p = -h + 12, -5*h + 3*p - 19 = -79. Let a = 5 + h. Let t = a + -8. Is t a multiple of 9?
True
Let g(w) = w**3 + 25*w**2 + 21*w + 48. Is 24 a factor of g(-24)?
True
Let k(i) = 2*i + 6. Suppose -2*p - 14 = -0*p. Let d be (4 - p) + -1*1. Does 11 divide k(d)?
False
Suppose 40 = -4*r - 180. Let z = r + 91. Is 12 a factor of z?
True
Suppose -5*p + 12 = 2. Suppose -y + 24 = -0*y - p*q, -5*y + 64 = 4*q. Is y a multiple of 12?
False
Let o(z) = 29*z + 2. Let d be o(6). Suppose -2*s - 100 = -2*p, d = 5*p - p + 4*s. Suppose -v = -2*q - p, v + q = -2*q + 42. Does 15 divide v?
True
Suppose 5*n - 2*b - 7 = 0, 0 = -5*n + 2*n - 4*b + 25. Suppose -c = 4*s - 47, -c = n*s - 2*s - 14. Does 7 divide s?
False
Let t(o) = -o + 7. Let m be t(5). Suppose -3*h = -m*u + u - 11, -5*h + u + 15 = 0. Suppose -h*s + 12 = -94. Is s a multiple of 20?
False
Suppose -9*q + 5*q = -80. Is q a multiple of 5?
True
Suppose -2*j - 226 - 34 = -2*d, 0 = -d - 5*j + 142. Is d a multiple of 12?
True
Suppose 4*p + 4*v - 64 = 0, 4*p - 16 = p + 5*v. Suppose -2*a - 5*i = 52, -40 = 4*a - 3*i + 38. Is (a/9)/((-2)/p) a multiple of 6?
False
Let r = -100 + 232. Let b = -1 - -8. Suppose 5*u - r = -b. Is 13 a factor of u?
False
Let o be (49/2)/7*2. Is ((-22)/(-3))/(o/21) a multiple of 21?
False
Is (-36)/84 + (-73)/(-7) a multiple of 4?
False
Let v(z) = -48*z**3. Let x be v(-1). Suppose 0 = -6*h + 3*h + x. Is 8 a factor of h?
True
Let v = 14 - -10. Is v a multiple of 6?
True
Suppose 2*a = -a + 81. Is a a multiple of 7?
False
Let l(h) = 24*h**2 + h + 1. Is l(-1) a multiple of 12?
True
Let v(o) = 2*o**2 + 3*o + 3 - 8 + 2*o**2 - 3*o**2. Does 10 divide v(5)?
False
Let t be -1*3*(6 + -7). Let s(d) = -2*d**3 + 3*d**2 - 6*d - 8. Let l(r) = -r**3 + 2*r**2 - 3*r - 4. Let b(q) = t*s(q) - 5*l(q). Does 13 divide b(-3)?
False
Is 15 a factor of (-990)/12*(3 - (-2 - -7))?
True
Let i be (-6)/(-27) - (-1024)/9. Suppose -2*q - 66 = -2*n - 4*q, 2*q + i = 3*n. Let k = -15 + n. Is 11 a factor of k?
False
Suppose -3*u = -4*u - 78. Let l be 12/u - (-1226)/26. Suppose 2*n - l = -3. Does 11 divide n?
True
Is 1/((-4)/6 - 155/(-225)) a multiple of 15?
True
Let q(f) = f**3 + 10*f**2 + f + 14. Let h be q(-10). Suppose h*c - 36 = -m, -c + 4*m + 6 = -2*c. Does 5 divide c?
True
Suppose 0*v = -2*v + 4. Suppose -v*g + 2 = -g. Suppose 6*l = g*l + 24. Is l a multiple of 6?
True
Suppose 3*h = -2*h + 160. Suppose h - 2 = 3*m. Suppose 3*r = -5*b + 3*b + 82, -5*b = -m. Does 13 divide r?
True
Suppose 0 = -2*z + 82 + 58. Does 10 divide z?
True
Suppose -2*p + 7 = -11. Suppose 2*y = -3*y + 35. Let g = p + y. Is g a multiple of 6?
False
Let z be (-6)/3 - (1 - 5). Suppose -4*p + 16 = -5*u, 0 = 3*p - z*u - 21 + 2. Is p a multiple of 9?
True
Let v be 1*(-1)/(-2)*-10. Is 7*v*6/(-5) a multiple of 24?
False
Let z(w) = w**2 - 7*w + 3. Let h(o) = o**2 + 2*o - 7. Let x be h(-5). Let i = 0 + x. Does 4 divide z(i)?
False
Let s(g) = g**2 + 7*g + 9. Is 7 a factor of s(-8)?
False
Let k(t) = -t + 5. Let q be k(3). Is 15 a factor of q/(1/(15/2))?
True
Is -61*(-1)/(5/10) a multiple of 24?
False
Let h = -7 - -11. Suppose -3*b + 2*x = -28, -1 = -5*b - 5*x + h. Is 2 a factor of b?
True
Suppose -2*w - 58 = -226. Suppose 5*r - w = 86. Does 12 divide r?
False
Let z be (-25)/(-10)*(-12)/(-10). Suppose -2*k = -0*p - p + 10, 6 = -z*k - 3*p. Is 8 a factor of 2/(-8) - 45/k?
False
Suppose 3*m - 5*m = -2. Suppose m = -3*q + 19. Is 3 a factor of q?
True
Let d be 12/15*10/4. Suppose -5*x - j = -2, -3*x + d = -8*x + j. Suppose -2*m = -x*m - 88. Does 22 divide m?
True
Suppose -3*k - 19 = -79. Let j = 35 - k. Is j a multiple of 9?
False
Let u(r) = r + 21. Let i be u(0). Suppose -2*v + 4*z + i = 3*v, 0 = -2*v + 4*z + 18. Suppose 3*h = n + v, -4*n = 3*h + 2*h - 30. Is n a multiple of 3?
False
Let j(m) = -31*m + 6. Let t be j(-3). Suppose 2*h = 7 + t. Does 14 divide h?
False
Suppose 2 - 72 = -5*g. Is 7 a factor of g?
True
Let q = 11 - 12. | {
"pile_set_name": "DM Mathematics"
} |
- 7/12*m**4. What is the third derivative of g(c) wrt c?
42
Find the third derivative of 5*m**2 - 26*m**4 + 7*m**2 - 4*m**2 + m**2 wrt m.
-624*m
Let z(r) be the first derivative of 3*r**6/2 + 2*r**3/3 - 5. Find the third derivative of z(c) wrt c.
540*c**2
Let q be (1/(-3))/(1/(-9)). Suppose 2*h + 4*v = -4 + 12, 0 = -q*v. Find the second derivative of 4 - h - 3*s**3 - 4*s + 7*s wrt s.
-18*s
Let d(k) be the second derivative of 0*k**5 + 0*k**6 + 0*k**2 - 2*k + 0 + 1/6*k**4 + 0*k**3 + 1/42*k**7. Find the third derivative of d(l) wrt l.
60*l**2
Let q(v) = 16*v**3 - 32*v**2 + 10. Let a(n) = n**3 - n**2 + 1. Let j(c) = -10*a(c) + q(c). What is the third derivative of j(d) wrt d?
36
Let o(f) = 6*f**2 - 5*f - 6. Let d(g) = g**2 - g. Let y(v) = 5*d(v) - o(v). What is the first derivative of y(n) wrt n?
-2*n
Let m(q) = 42*q**2 - 6*q. Let i(y) = -85*y**2 + 13*y + 1. Let f(p) = 6*i(p) + 13*m(p). Differentiate f(g) with respect to g.
72*g
Let u = -23/3 + 25/3. Let y(g) be the first derivative of 2 + u*g**3 + 0*g**2 + 0*g - 1/5*g**5 + 0*g**4. Find the third derivative of y(d) wrt d.
-24*d
Let k(j) = j**3 + 3*j**2 + j + 3. Let a be k(-3). Suppose a = -2*w + 1 + 3. What is the third derivative of 4*r - r**2 - 4*r + w*r**5 + 2*r**2 wrt r?
120*r**2
Let g(q) = -q**2 - 6*q - 2. Let s be g(-5). Suppose 5*y + 19 = -3*p, -s*p - 5*y = -y + 14. What is the third derivative of -2*u**2 + p*u**6 - 2*u + 2*u wrt u?
240*u**3
Let r = 15 - 15. Let c(z) be the first derivative of 0*z**4 + 0*z + 1/5*z**5 - 1/3*z**3 + r*z**2 + 2. Find the third derivative of c(o) wrt o.
24*o
Let s = -5 - -8. What is the derivative of -5*t - 4*t + 5*t + s*t - 3 wrt t?
-1
Let y(n) be the first derivative of 0*n + 0*n**2 - 2/5*n**5 + 0*n**4 - 4 + 4/3*n**3. What is the third derivative of y(b) wrt b?
-48*b
Let s be (2/5)/((-4)/(-60)). What is the second derivative of -3*k - 3*k - s*k**4 - k wrt k?
-72*k**2
Suppose 4*x = -x. Suppose x = -k + 3 - 1. Find the second derivative of -4*r - 7*r**k + 7*r**2 + 2*r**3 wrt r.
12*r
What is the first derivative of -4 + 2 - 2 + n**3 wrt n?
3*n**2
What is the second derivative of t**4 - 4*t - 4*t**4 + 3*t wrt t?
-36*t**2
Let h(l) = 8*l**5 - 3*l**3 + 3*l**2 - 16*l + 3. Let d(r) = r**5 + r**3 - r**2 - r - 1. Let b(c) = -3*d(c) - h(c). What is the second derivative of b(t) wrt t?
-220*t**3
Let j = 6 - 2. Let f(c) = -c**2 + 5*c - 3. Let q be f(3). Find the third derivative of -w**5 + 3*w**3 - j*w**2 - q*w**3 wrt w.
-60*w**2
Let k(r) be the second derivative of -7*r**5/10 - r**4/12 - 22*r. Find the third derivative of k(h) wrt h.
-84
Let d(i) = -3*i**2. Let b be d(-1). Let x be b/9 + 57/9. Differentiate 3*g**4 - 1 + 6*g - x*g with respect to g.
12*g**3
Let l(b) be the third derivative of b**6/10 - 17*b**3/6 - 5*b**2. Differentiate l(s) with respect to s.
36*s**2
Let g(y) = -y + 7. Let h be g(5). Find the second derivative of -d**2 + 0*d + d**4 + d**h - d wrt d.
12*d**2
Let v be (1/(-6))/((-7)/42). What is the second derivative of -v - 2*l**5 + 7*l**5 + 4*l + 1 wrt l?
100*l**3
Let b(g) = 15*g**3 + 8*g**2 - 26. Let l(x) = 5*x**3 + 3*x**2 - 9. Let n(o) = 3*b(o) - 8*l(o). Find the first derivative of n(v) wrt v.
15*v**2
Let x(s) be the first derivative of 11*s**2 - 44*s - 18. Find the first derivative of x(r) wrt r.
22
Let k(z) = 34*z**2 - 19. Let w(m) = m**2 + 1. Let o(q) = k(q) + 5*w(q). Find the first derivative of o(g) wrt g.
78*g
Suppose -2*y - 1 = -13. Suppose 0 = -3*z + 15 - y. What is the first derivative of 0 + 0*p**z - 2 + p**3 wrt p?
3*p**2
Suppose 0 = -t - 2*t + 12. Find the second derivative of 2*u - u + t*u - 2*u**4 - 2*u wrt u.
-24*u**2
Let b be 2 + (2 + 0 - -1). What is the third derivative of -4*h**b + 0*h**3 + 0*h**3 + 5*h**2 + 7*h**5 wrt h?
180*h**2
Let z(t) be the third derivative of -t**5/12 + 31*t**3/6 - 6*t**2. What is the first derivative of z(y) wrt y?
-10*y
Let d(g) be the first derivative of -g**6/30 - 5*g**4/12 + 9*g**2/2 - 6. Let a(u) be the second derivative of d(u). What is the second derivative of a(t) wrt t?
-24*t
Let a(j) be the second derivative of -3*j**5/20 - j**4/3 - 9*j. What is the third derivative of a(f) wrt f?
-18
What is the third derivative of 7*k**2 - 27*k**4 + 16*k**2 + k**2 + 3*k**4 wrt k?
-576*k
Let m = -1 + 2. Let c be (m/1)/1 - -2. Find the second derivative of -4*n**3 + 2*n**c - 4*n + 2*n wrt n.
-12*n
Let z(d) = -d**2 + d + 1. Let p(c) = 9*c**5 + 18*c**2 - 12*c - 12. Let f(v) = -p(v) - 12*z(v). What is the third derivative of f(u) wrt u?
-540*u**2
Let j(a) be the second derivative of 0*a**2 - 4*a + 0 + 1/3*a**3 + 1/6*a**4. Find the second derivative of j(s) wrt s.
4
Let w(m) be the third derivative of -41*m**5/60 + 19*m**4/24 + m**3/6 - 24*m**2. Find the second derivative of w(h) wrt h.
-82
Suppose -4*h + 10 = -v, -v - 7 = -h - 2*h. Differentiate 1 - 2*t**h + 0 + 4*t**3 with respect to t.
6*t**2
Let q(x) = -x + 1. Let i(r) = -r**3 - 3*r + 5. Let u(b) = i(b) - 5*q(b). Find the second derivative of u(l) wrt l.
-6*l
Let b(c) = -c**4 + 1. Let h(z) = -8*z**4 + 6*z**2 + 6. Let o(y) = -6*b(y) + h(y). Find the third derivative of o(v) wrt v.
-48*v
Suppose 0 = q - 1 - 1. What is the second derivative of 10*i**4 - i - q*i - 12*i**4 wrt i?
-24*i**2
Let j(i) = -i**3 + 3*i**2 + 6*i - 4. Let b be j(4). Let x(h) = -11*h - 3. Let f(n) = 6*n + 2. Let w(y) = b*x(y) + 7*f(y). What is the derivative of w(c) wrt c?
-2
Let a(h) be the first derivative of -46*h**5/5 - h**2 - 3*h - 52. What is the second derivative of a(f) wrt f?
-552*f**2
Let p(z) be the third derivative of -z**6/360 - z**5/120 - z**4/6 + 2*z**2. Let f(q) be the second derivative of p(q). Differentiate f(n) with respect to n.
-2
Find the first derivative of 11 + 20*d + 2*d + 21*d - 14*d wrt d.
29
Let k be 21/5 + (-2)/10. Suppose 5*j - k = 16. What is the derivative of 5*m**4 + 2*m**4 + 4 + 0*m**j - 5*m**4 wrt m?
8*m**3
Let h(z) be the third derivative of 19*z**8/336 - 11*z**5/60 - 3*z**2. What is the third derivative of h(y) wrt y?
1140*y**2
Let c(g) be the second derivative of g**6/60 - g**3/3 + 3*g**2/2 + g. Let f(s) be the first derivative of c(s). What is the derivative of f(t) wrt t?
6*t**2
Let p = 15 - 11. Suppose d = b - 2, -4*d - b - p = -21. Find the third derivative of -d*g**5 + 2*g**2 + 4*g**5 - 3*g**2 wrt g.
60*g**2
Let d(u) be the second derivative of -u**8/28 - 3*u**4/4 - 5*u. Find the third derivative of d(t) wrt t.
-240*t**3
Find the third derivative of 0*a**6 - 155*a**5 - 11*a**2 + 155*a**5 + 2*a**6 wrt a.
240*a**3
Let a be 59/6 - 3/(-18). Let k = 12 - a. Differentiate r**2 - 5*r**2 - k - 2 wrt r.
-8*r
Let p(y) = y**3 + 2*y**2 - y. Let b be p(-2). Find the third derivative of 3*o**3 - 2*o - 2*o**b + 5*o - 3*o wrt o.
18
Let b(m) = 4*m**2 - 3*m + 10. Let g(q) = 4*q**2 - 4*q + 11. Let a(t) = 4*b(t) - 3*g(t). Find the first derivative of a(o) wrt o.
8*o
What is the third derivative of 11*a**2 - 11*a**3 - 20*a**2 + 15*a**2 wrt a?
-66
Let g(l) = -20*l**2 - 7*l. Let q(x) = -30*x**2 - 11*x. Let s(h) = -8*g(h) + 5*q(h). What is the second derivative of s(a) wrt a?
20
Let d = 55 - 30. Find the third derivative of -25*b**3 + d*b**3 - 3*b**2 - 4*b**6 wrt b.
-480*b**3
Find the third derivative of 9*a**3 + 38*a**3 - 1 + 2*a**2 + 9*a**2 - 3*a**2 wrt a.
282
Find the first derivative of -24 - 2*a**2 + a**2 + a**2 + 2*a**2 wrt a.
4*a
Suppose 0 = 3*x - 0 - 6. Suppose -4*m + 13 = 3*h, -3*h - x*h = 5*m - 15. What is the derivative of -v - 4 - m + 6 wrt v?
-1
What is the third derivative of 7*a**2 - 23*a**6 - a**2 + 32*a**6 wrt a?
1080*a**3
Let m(r) be the second derivative of -5/12*r**4 - 3/2*r**2 + 0 + 0*r**3 + 6*r. Find the first derivative of m(q) wrt q.
-10*q
Let l(v) be the first derivative of 7*v**5/5 - v**2/2 - 6. Find the second derivative of l(f) wrt f.
84*f**2
Let x(g) be the second derivative of 0*g**4 + 1/20*g**5 + 0*g**3 + 0 - 3*g - 3/2*g**2. Differentiate x(t) wrt t.
3*t**2
Let z be (4/(-6))/((-3)/9). Let k = z + 0. Find the third derivative of -4*l**2 - 4 + 2*l**6 + 2*l**k + 4 wrt l.
240*l**3
Find the second derivative of 39*g**5 - 48*g**5 - 3*g + 2*g wrt g.
-180*g**3
Let d(p) be the third derivative of -1/12*p**4 + 0 + 2*p**2 - 1/20*p**5 + 0*p + 0*p**3. Find the second derivative of d(b) wrt b.
-6
Suppose 5*r = -2*b, -3*b - 2*r = r - 9. Find the second deriva | {
"pile_set_name": "DM Mathematics"
} |
qrt(704))**2 - sqrt(704)).
-8*sqrt(11) + 484
Simplify ((-3 + -2*sqrt(11))*5 + -4 + -1)**2.
400*sqrt(11) + 1500
Simplify -1*(sqrt(972)*5)**2.
-24300
Simplify (5*(sqrt(39)/sqrt(3) - sqrt(13))*-2)**2.
0
Simplify (3 + -2 + 2*sqrt(128))**2.
32*sqrt(2) + 513
Simplify 1*sqrt(180) - (sqrt(100)/(sqrt(5) - sqrt(45)))**2.
-5 + 6*sqrt(5)
Simplify (sqrt(513)*4)/(sqrt(3) - 6*sqrt(48)).
-12*sqrt(19)/23
Simplify (sqrt(1053) + 1*(sqrt(1053) - (sqrt(1053) + 0)))**2 + sqrt(1053)*-2*-1 + 5.
18*sqrt(13) + 1058
Simplify 3 + (-4*sqrt(153) - sqrt(17)).
-13*sqrt(17) + 3
Simplify (-4 + sqrt(833))*-5 + -4.
-35*sqrt(17) + 16
Simplify sqrt(396) + (5*sqrt(396)*-4)**2.
6*sqrt(11) + 158400
Simplify sqrt(28)*-1 + sqrt(42)/(sqrt(6) - sqrt(150)) + sqrt(7).
-5*sqrt(7)/4
Simplify sqrt(34)/(5*sqrt(10)/sqrt(5) - sqrt(2)).
sqrt(17)/4
Simplify 5*(-1 + sqrt(7))*3.
-15 + 15*sqrt(7)
Simplify (-1*sqrt(54)/sqrt(3))/(-3*sqrt(6)*-1).
-sqrt(3)/3
Simplify -1 + sqrt(5) + (sqrt(5) - (sqrt(5) + 1)) + -3.
-5 + sqrt(5)
Simplify 3 + sqrt(56)/sqrt(2).
3 + 2*sqrt(7)
Simplify -4 + (5 + 1*sqrt(11) - sqrt(11))**2 + ((sqrt(99) - (sqrt(99) + 1))**2 - sqrt(11) - sqrt(11)) + 1.
-2*sqrt(11) + 23
Simplify -6*(-4*sqrt(512))/sqrt(4).
192*sqrt(2)
Simplify (2*sqrt(2673) - sqrt(2673))/(sqrt(22)/sqrt(2)*-1).
-9*sqrt(3)
Simplify sqrt(475) + -1 + 2*(0 + sqrt(19)).
-1 + 7*sqrt(19)
Simplify (sqrt(288)/(sqrt(32)/sqrt(4)))/(1*sqrt(12)*-5).
-sqrt(3)/5
Simplify (-2 + (sqrt(432) - (sqrt(432)*2 - sqrt(432)))**2*-3)*6.
-12
Simplify ((sqrt(396)*2)/sqrt(4))**2*6.
2376
Simplify sqrt(91)/(sqrt(7)*1) - -1*sqrt(468).
7*sqrt(13)
Simplify sqrt(152)/(sqrt(200)*3).
sqrt(19)/15
Simplify (6*(sqrt(28) + 1*sqrt(1008)))**2.
49392
Simplify -4 + (-5*(sqrt(11) + 2 + -2))**2.
271
Simplify -4*(sqrt(175) + 3*2*sqrt(175)).
-140*sqrt(7)
Simplify sqrt(42)/((sqrt(60) - sqrt(960))/sqrt(10)).
-sqrt(7)/3
Simplify -3 + (sqrt(8) + sqrt(64)/(sqrt(8) + sqrt(56)/sqrt(7)))/sqrt(4).
-3 + 3*sqrt(2)/2
Simplify (1 + sqrt(75) + sqrt(75) - sqrt(75))**2 + (sqrt(3) - (sqrt(48) - sqrt(3))**2*1).
11*sqrt(3) + 49
Simplify (sqrt(27) + -1*sqrt(972))/(-1*sqrt(441)).
5*sqrt(3)/7
Simplify 5*(((sqrt(13) + -1 - sqrt(13))*5)**2 + 2).
135
Simplify 1*(sqrt(108)*-5*1)**2.
2700
Simplify -4*(sqrt(2) - (sqrt(2) + (sqrt(12) + sqrt(72)/sqrt(6))/sqrt(6)) - (-1*sqrt(288))**2).
8*sqrt(2) + 1152
Simplify -1*sqrt(68)/(sqrt(4) - (sqrt(4) + sqrt(4)*-2)*-6)*1.
sqrt(17)/5
Simplify (3 + 6*(0 + sqrt(175) - sqrt(175)))**2.
9
Simplify (1 + sqrt(153) + -4)*-1.
-3*sqrt(17) + 3
Simplify (sqrt(55)/sqrt(704) - -2*sqrt(5)*-5)**2.
31205/64
Simplify -4 + sqrt(17)*-1 + sqrt(153)/sqrt(81).
-4 - 2*sqrt(17)/3
Simplify -5 + (sqrt(891)*-2)**2*-5.
-17825
Simplify (-4*(sqrt(119) + (sqrt(119) - (sqrt(119)*-2 + sqrt(119)))))/(4*sqrt(112) - sqrt(7)).
-4*sqrt(17)/5
Simplify -2 + (1*sqrt(18))**2.
16
Simplify sqrt(11) + (sqrt(77)*2)/sqrt(7) + -3.
-3 + 3*sqrt(11)
Simplify -6*((sqrt(20))**2 + 0) + 1.
-119
Simplify ((sqrt(1539) - (1 + sqrt(1539) + -2)) + sqrt(1539) + 4*-3*sqrt(1539))**2.
-198*sqrt(19) + 186220
Simplify ((2*sqrt(208))**2 + sqrt(208))*6 + 4.
24*sqrt(13) + 4996
Simplify (sqrt(2430) + (sqrt(2430) + sqrt(2430)*1 + sqrt(2430) - sqrt(2430)))/sqrt(10).
27*sqrt(3)
Simplify (-4 + (sqrt(1053) + 0)*2)**2.
-144*sqrt(13) + 4228
Simplify 3 + (sqrt(567) - sqrt(567)*2 - sqrt(567) - ((sqrt(7)*-1 - sqrt(7)) + -1)).
-16*sqrt(7) + 4
Simplify (5*(1 + sqrt(2299)) - (-5 + 0 + sqrt(2299) - sqrt(2299))) + 3.
13 + 55*sqrt(19)
Simplify 3 + -6*sqrt(22)/(sqrt(4)/sqrt(2))*-5.
3 + 30*sqrt(11)
Simplify -2 + (sqrt(19) - (2 + sqrt(19))**2)*2.
-48 - 6*sqrt(19)
Simplify 5*(1 + sqrt(3)) + (sqrt(3) - (-5 + sqrt(12)/sqrt(4) + sqrt(3))).
4*sqrt(3) + 10
Simplify 4 + 5 + 1*sqrt(52).
2*sqrt(13) + 9
Simplify sqrt(60)/(sqrt(24)/sqrt(2)) + ((sqrt(5) + -1)*-6 + sqrt(5))**2 + sqrt(5) + 2.
-58*sqrt(5) + 163
Simplify (((sqrt(171) - (sqrt(171) - 1*sqrt(171)*-3)) + sqrt(171) - sqrt(171)) + sqrt(171))/sqrt(9)*4.
-8*sqrt(19)
Simplify (sqrt(2736)*-1)**2 - (sqrt(19) + (sqrt(304) + 1)**2).
-9*sqrt(19) + 2431
Simplify (-3 + sqrt(2057) + 1 - (-1*sqrt(2057) + sqrt(2057) + -4))**2.
44*sqrt(17) + 2061
Simplify (sqrt(50)/(sqrt(40)/sqrt(4)))**2 + -4.
1
Simplify ((-1*sqrt(171) + sqrt(171) - sqrt(171))*1 - sqrt(171))/(sqrt(9)*1*2).
-sqrt(19)
Simplify 2 + (sqrt(7)*-2)**2*-4 + -1.
-111
Simplify sqrt(88)/(-2*sqrt(392) - sqrt(392)).
-sqrt(11)/21
Simplify ((-2*(sqrt(114) + (sqrt(114) - sqrt(114)*2 - sqrt(114)) + sqrt(114) + sqrt(114) + sqrt(114)) + sqrt(114) - sqrt(114))/((-1*sqrt(72))/sqrt(12)))**2.
304
Simplify -5*(-3 + -2 + sqrt(48))**2.
-365 + 200*sqrt(3)
Simplify sqrt(119)/(-2*sqrt(567)).
-sqrt(17)/18
Simplify (sqrt(125) - (sqrt(125) + (sqrt(125) - (2*sqrt(125) - sqrt(125))**2) + 5))*1.
-5*sqrt(5) + 120
Simplify 2 + (-1*sqrt(432))**2 + 0.
434
Simplify (sqrt(3) - sqrt(9)/(sqrt(3) + sqrt(12)/sqrt(4)))*-5.
-5*sqrt(3)/2
Simplify (-4 + -1 + 1 + (sqrt(637) + 1 + sqrt(637) + sqrt(637) - sqrt(637)))**2.
-84*sqrt(13) + 2557
Simplify (-2 + 2*(sqrt(720) + 3))**2.
192*sqrt(5) + 2896
Simplify (-1 + (sqrt(7) - 1*sqrt(112)) + -1)**2.
12*sqrt(7) + 67
Simplify (sqrt(11) + -1)*4 - ((1*sqrt(99) + sqrt(99))/sqrt(9))**2.
-48 + 4*sqrt(11)
Simplify ((sqrt(180) - (sqrt(180) - (1 + sqrt(180)))*-3)**2 - -2*sqrt(180)*-6) + 1.
-108*sqrt(5) + 190
Simplify (sqrt(3) - (-3 + sqrt(3) + sqrt(3) + 2)**2 - sqrt(3))*-4.
-16*sqrt(3) + 52
Simplify 2*-4*sqrt(76)*5.
-80*sqrt(19)
Simplify (-1*sqrt(75) - (-1 + sqrt(3) + 5))**2.
48*sqrt(3) + 124
Simplify -2 + 4 + sqrt(1216).
2 + 8*sqrt(19)
Simplify sqrt(567) - (1 + sqrt(567) + 1) - sqrt(567).
-9*sqrt(7) - 2
Simplify (sqrt(117)/(sqrt(9)*2 + sqrt(9) + sqrt(9)))**2 + -4.
-51/16
Simplify (sqrt(63)/(sqrt(7) + sqrt(49)/sqrt(7)) + sqrt(9))/sqrt(3).
3*sqrt(3)/2
Simplify (-5 + (-6*(sqrt(605) + 1 + sqrt(605)) - sqrt(605))*5)**2.
50050*sqrt(5) + 2557350
Simplify (-1*sqrt(175) - 3*sqrt(7)*1)**2.
448
Simplify (0 + (sqrt(19) + sqrt(19) + -1 + sqrt(19) + -2)**2)*-5.
-900 + 90*sqrt(19)
Simplify (3*(sqrt(539) + 2)*3 + 3)**2.
2646*sqrt(11) + 44100
Simplify (3*(sqrt(2299) + 1))**2 - sqrt(2299).
187*sqrt(19) + 20700
Simplify ((sqrt(2448) + 2*sqrt(2448))*5 + 3)**2*5.
5400*sqrt(17) + 2754045
Simplify sqrt(1872) + 1 - (sqrt(13) - sqrt(143)/sqrt(396)).
1 + 67*sqrt(13)/6
Simplify 5*sqrt(162)*1.
45*sqrt(2)
Simplify (sqrt(175) - -3*-1*sqrt(175))*-1.
10*sqrt(7)
Simplify sqrt(19)*4*1 + sqrt(228)/(sqrt(24)/sqrt(2)).
5*sqrt(19)
Simplify ((sqrt(84)/(sqrt(6)*-2 - sqrt(6)))/(sqrt(14)/sqrt(2)*-5))**2.
2/225
Simplify 5*(4 + -1*sqrt(17)).
-5*sqrt(17) + 20
Simplify 6*(sqrt(5) - (sqrt(5) + sqrt(320))) - 4*((sqrt(10)/sqrt(2))**2 + sqrt(5)).
-52*sqrt(5) - 20
Simplify (-4*(sqrt(112) + -1))**2 + -1 + sqrt(28) + 2.
-126*sqrt(7) + 1809
Simplify sqrt(171) + 2 - sqrt(19) - (sqrt(76) + sqrt(76)*-1).
2 + 2*sqrt(19)
Simplify -5*(sqrt(52)/sqrt(4) - sqrt(13))*4*-6.
0
Simplify (-1*sqrt(171) + sqrt(38)/(sqrt(8) - sqrt(2)))*-1.
2*sqrt(19)
Simplify (-6*(sqrt(42)/sqrt(3) + sqrt(14)))/sqrt(2).
-12*sqrt(7)
Simplify 3 + 1*sqrt(19)*-3 + 3*sqrt(76)/sqrt(4).
3
Simplify 3*(1*sqrt(19))**2 + (sqrt(76) + -1 + sqrt(76))**2.
-8*sqrt(19) + 362
Simplify (-5 + sqrt(1216)*2)**2 - (-1 + -1 + sqrt(1216)).
-168*sqrt(19) + 4891
Simplify 2 + sqrt(175) + -5.
-3 + 5*sqrt(7)
Simplify 5 + 3*sqrt(114)/(sqrt(48)/sqrt(2) + sqrt(24)).
3*sqrt(19)/4 + 5
Simplify -1*sqrt(8) - -2*sqrt(162).
16*sqrt(2)
Simplify (((-2*sqrt(187))/sqrt(11) + sqrt(17) + sqrt(34)/sqrt(2)*-6)*-6)**2.
29988
Simplify 3*sqrt(112) - (sqrt(14)*1)/sqrt(2).
11*sqrt(7)
Simplify (sqrt(22)/(sqrt(6)/sqrt(3)) - (1 + sqrt(44)))**2.
2*sqrt(11) + 12
Simplify -3 + sqrt(152)/(1*sqrt(8)) + -1.
-4 + sqrt(19)
Simplify (6*(sqrt(1584) - (sqrt(1584) + 1) - sqrt(1584)))**2 - (6*(sqrt(1584) - sqrt(1584)*2 - sqrt(1584)))**2.
-171036 + 864*sqrt(11)
Simplify sqrt(45)/((sqrt(9)*2 - sqrt(9))*-6).
-sqrt(5)/6
Simplify -5 + (sqrt(57)/sqrt(3)*-2)**2 + (1 + sqrt(171))**2.
6*sqrt(19) + 243
Simplify ((sqrt(108)*1)/sqrt(12) + sqrt(9))/sqrt(3) + 1.
1 + 2*sqrt(3)
Simplify -6*(sqrt(720)*1)/(sqrt(400)*-1).
18*sqrt(5)/5
Simplify 2 + sqrt(931)*2 - (sqrt(931) - (sqrt(931) - 5*-3*sqrt(931))).
2 + 119*sqrt(19)
Simplify (sqrt(156)*2)/sqrt(12) + sqrt(13) + (0 + sqrt(1573))**2.
3*sqrt(13) + 1573
Simplify (-1 + sqrt(7))**2*3 + (sqrt(28) + sqrt(28)*1)/sqrt(4).
-4*sqrt(7) + 24
Simplify (sqrt(68)/(sqrt(4) - (sqrt(8)/sqrt(2) | {
"pile_set_name": "DM Mathematics"
} |
32).
-23
Let x(l) = -l + 139. Calculate x(28).
111
Let f(o) = -19*o + 36. Calculate f(8).
-116
Let l(a) = -a**3 - 22*a**2 + 208*a + 176. Give l(-29).
31
Let n(u) = 7*u**3 - 2*u**2 + u - 3. Determine n(-2).
-69
Let l(w) = 39*w - 5093. What is l(130)?
-23
Let c(z) = 6*z**3 - 148*z**2 - 46*z + 27. Calculate c(25).
127
Let h(y) = 2*y**3 - 12*y**2 - 23*y + 10. What is h(7)?
-53
Let j(w) = w**2 - 62*w + 403. What is j(13)?
-234
Let q(w) = w - 415. Give q(8).
-407
Let n(y) = y**3 + 12*y**2 - 22*y - 328. Calculate n(-12).
-64
Let y(j) = -j**3 - j**2 + 2040*j + 6100. Determine y(-3).
-2
Let k(g) = -g**2 + 41*g - 130. Determine k(37).
18
Let p(f) = -31*f + 493. Calculate p(15).
28
Let p(m) = -m**3 + 14*m**2 + 11*m + 46. What is p(15)?
-14
Let v(p) = p**3 + 43*p**2 - 74. What is v(-43)?
-74
Let a(c) = 52*c**2 - 4*c - 7. What is a(-1)?
49
Let h(j) = 5*j**3 - 4*j - 13. What is h(-3)?
-136
Let z(q) = 19*q + 560. What is z(-29)?
9
Let k(f) = 6*f - 68. Determine k(-13).
-146
Let w(m) = 3*m**3 + 13*m**2 - m - 10. Determine w(-6).
-184
Let n(o) = 31*o**2 + 3*o + 6. Give n(-2).
124
Let j(v) = 678*v - 10853. What is j(16)?
-5
Let m(o) = 20*o - 43. Calculate m(17).
297
Let r(t) = 17477*t + 13. Give r(0).
13
Let h(b) = b**2 - 116*b - 9656. Determine h(172).
-24
Let z(p) = -6*p**2 - 124*p - 239. Determine z(-19).
-49
Let n(o) = 2*o**2 - 28*o + 111. Determine n(11).
45
Let a(n) = -3*n**2 + 40*n - 39. Give a(1).
-2
Let x(y) = 18*y + 107. Determine x(-7).
-19
Let b(g) = -g**2 - 71*g + 998. What is b(-83)?
2
Let u(y) = y**3 + 20*y**2 - 25*y - 498. Determine u(-20).
2
Let h(v) = -7*v + 226. Calculate h(5).
191
Let x(w) = -20*w**2 + 815*w + 281. Determine x(41).
76
Let w(k) = -k**3 - 308*k**2 + 629*k + 2795. Give w(-310).
5
Let j(y) = -888*y - 8878. Determine j(-10).
2
Let w(c) = -6*c**3 - 16*c**2 + 54*c + 163. What is w(-3)?
19
Let t(z) = -z**3 - 17*z**2 - 52*z + 67. Determine t(-7).
-59
Let o(b) = -b**2 + 3552*b + 17795. What is o(-5)?
10
Let f(k) = 2*k**2 + 264*k - 1367. Calculate f(-137).
3
Let b(w) = 14*w**2 + 42*w + 27. What is b(-2)?
-1
Let d(p) = -4942*p - 69172. Calculate d(-14).
16
Let u(m) = m**3 + 10*m**2 - 34*m - 160. Calculate u(-12).
-40
Let h(g) = -313*g**2 - 10*g + 10. Calculate h(1).
-313
Let g(f) = -95*f - 2787. Determine g(-29).
-32
Let d(n) = -n**3 - 39*n**2 - 192*n - 67. What is d(-34)?
681
Let f(o) = -103*o + 305. What is f(4)?
-107
Let d(w) = -w**3 - 79*w**2 - 2*w - 154. Give d(-79).
4
Let u(d) = -60*d**3 - 3*d**2 - d + 10. What is u(-2)?
480
Let y(u) = 101*u**2 - 1412*u - 22. Determine y(14).
6
Let c(y) = 2*y**2 + 104*y + 1359. What is c(-25)?
9
Let l(t) = -t**2 + 26*t + 9. What is l(27)?
-18
Let m(y) = -5*y**2 - 20*y - 79. Give m(-5).
-104
Let z(c) = -29*c + 1386. Determine z(48).
-6
Let k(b) = 212*b**3 + b**2 - 2*b + 1. Determine k(1).
212
Let b(g) = -116*g + 5445. Give b(47).
-7
Let w(h) = -h**3 - 4*h**2 + 62*h + 35. Give w(-10).
15
Let f(k) = 1938*k + 3875. Give f(-2).
-1
Let r(a) = -6*a**3 - 5*a**2 + 7*a + 11. Calculate r(-2).
25
Let s(c) = c**3 + 15*c**2 - 15*c + 61. Determine s(-16).
45
Let d(q) = q**3 + q**2 - 28*q + 10. Give d(-6).
-2
Let n(x) = x**3 - 58*x**2 - 112*x + 175. Calculate n(60).
655
Let r(f) = 2*f**3 - 104*f**2 - 102*f - 217. Determine r(53).
-5
Let i(s) = 24909*s + 24918. Calculate i(-1).
9
Let a(y) = -2*y**2 + 4*y + 13. Determine a(-3).
-17
Let b(k) = k**3 - 37*k**2 - 5*k - 85. Give b(37).
-270
Let i(c) = -1982*c - 29714. Determine i(-15).
16
Let y(x) = -9*x**2 + 224*x + 224. Calculate y(26).
-36
Let y(p) = -16*p - 4. Determine y(27).
-436
Let q(m) = m**3 - 2*m**2 - 18*m. Calculate q(-7).
-315
Let n(d) = d**3 - 30*d**2 - 407*d + 31. Calculate n(-11).
-453
Let a(d) = 56*d + 436. Calculate a(-12).
-236
Let k(w) = 32*w - 312. Determine k(8).
-56
Let a(t) = 8*t + 25. What is a(18)?
169
Let m(f) = -363*f - 1840. Determine m(-5).
-25
Let d(j) = -579*j + 583. Give d(1).
4
Let j(x) = -x**3 - 9*x**2 + 324*x - 32. Determine j(14).
-4
Let i(v) = 4*v**2 - 17*v - 106. What is i(12)?
266
Let w(i) = i**2 - 77*i + 1240. Give w(54).
-2
Let a(n) = 54*n + 1949. Give a(-36).
5
Let y(w) = -2*w**3 + 44*w**2 + 640*w + 29. What is y(-10)?
29
Let s(w) = w**3 - 11*w**2 - 45*w + 286. Calculate s(5).
-89
Let y(x) = -x**3 + 109*x**2 - 2888*x - 636. Calculate y(63).
-6
Let m(p) = p**3 + 10*p**2 + 23*p - 13. Determine m(-6).
-7
Let l(v) = 31*v - 3005. Determine l(91).
-184
Let v(b) = -147*b**2 - 739*b - 3. Calculate v(-5).
17
Let c(l) = -l**3 - 10*l**2 + 54*l - 2. Give c(-14).
26
Let w(j) = -6*j**2 - 82*j + 38. Determine w(-12).
158
Let u(o) = 109*o - 314. Calculate u(6).
340
Let l(f) = f**3 - 7*f**2 + 21*f - 143. Calculate l(6).
-53
Let g(a) = 73*a + 149. Determine g(-3).
-70
Let c(i) = -26*i**2 + 5*i - 2. Calculate c(1).
-23
Let v(p) = 2*p**2 - 13*p - 76. What is v(10)?
-6
Let y(h) = 9*h**2 - 93*h + 39. Determine y(6).
-195
Let b(s) = 371*s - 4456. Give b(12).
-4
Let g(w) = 3*w**3 + 23*w**2 - 7*w + 33. What is g(-8)?
25
Let n(l) = -51*l**2 - 660*l + 17. Give n(-13).
-22
Let i(u) = -42*u**2 - u + 2. Determine i(2).
-168
Let d(b) = 552*b + 60. Give d(-1).
-492
Let r(k) = -k + 85. Give r(5).
80
Let l(s) = -30*s - 124. What is l(2)?
-184
Let i(w) = -6*w**3 - 235*w**2 - 37*w + 90. Calculate i(-39).
12
Let q(o) = 2*o**2 - 34*o - 699. Give q(-12).
-3
Let t(n) = n**3 + 57*n**2 + 308*n + 18. Determine t(-6).
6
Let n(g) = -g**3 + 38*g**2 - 37*g - 21. Determine n(37).
-21
Let h(o) = 7*o**3 + 6*o**2 + 7*o + 9. Calculate h(-2).
-37
Let w(p) = -19*p - 1294. What is w(-68)?
-2
Let h(l) = -11*l + 390. Calculate h(35).
5
Let t(q) = -q**2 - 4590*q - 50355. Determine t(-11).
14
Let w(o) = o**2 - 570*o - 18634. Determine w(-31).
-3
Let m(r) = 11*r - 218. Determine m(33).
145
Let j(w) = -w**3 + 16*w**2 + 80*w - 4. Determine j(20).
-4
Let n(s) = 2*s**2 + 189*s + 559. Determine n(-3).
10
Let m(o) = 17*o - 772. Calculate m(45).
-7
Let l(t) = 4809*t - 24032. Determine l(5).
13
Let g(z) = -134*z + 1743. What is g(13)?
1
Let g(q) = -2*q**2 + 75*q - 262. Give g(4).
6
Let b(d) = -d**3 + 51*d**2 - 58*d + 480. What is b(50)?
80
Let u(c) = -251*c + 20. What is u(0)?
20
Let r(t) = 35*t**3 - t**2 + 6*t - 17. What is r(2)?
271
Let h(i) = -24*i**2 - 29*i + 6. What is h(2)?
-148
Let s(q) = 13*q + 231. What is s(-18)?
-3
Let m(f) = -3*f**3 - 84*f**2 + 5*f + 30. Calculate m(-28).
-110
Let b(u) = 2*u**3 + 10*u**2 + 5*u - 34. Calculate b(-7).
-265
Let b(k) = -k**3 - 34*k**2 + 12*k - 760. What is b(-35)?
45
Let u(p) = -p**3 - 81*p**2 + 254*p + 174. Determine u(-84).
6
Let n(i) = 968*i + 6754. Determine n(-7).
-22
Let g(w) = -74*w**2 - 33*w + 9. Determine g(-2).
-221
Let y(n) = 7899*n + 31597. Determine y(-4).
1
Let x(u) = -1032*u + 38193. Calculate x(37).
9
Let k(s) = -s**2 + 273*s - 3381. Give k(13).
-1
Let z(c) = c**3 - 1419*c**2 + 8474*c + 18. Calculate z(6).
-6
Let z(j) = j**3 - 21*j**2 + 14*j + 108. Determine z(21).
402
Let d(o) = o**3 + 4*o**2 - 32*o + 9. Calculate d(-8).
9
Let w(d) = d**3 - 26*d**2 + 95*d - 158. Give w(22).
-4
Let f(v) = v**2 - 133*v + 4171. Calculate f(76).
-161
Let g(o) = -236*o - 2608. Give g(-11).
-12
Let x(w) = 229*w + 411. What is x(-2)?
-47
Let q(l) = -l**3 - 23*l**2 + 171*l - 16. What is q(-29)?
71
Let c(u) = u**2 - 1699*u - 17078. Calculate c(-10).
12
Let n(w) = -2*w**2 + 11*w + 11. Give n(-2).
-19
Let m(f) = -2*f**2 + 241*f + 968. What is m(-4)?
-28
Let s(z) = -z**3 + 226*z**2 - 3934*z + 14. Determine s(19).
-5
Let h(i) = -3*i**2 - 7*i + 69. Give h(-11).
-217
Let t(j) = 466*j + 5112. Calculate t(-11).
-14
Let x(w) = w**2 + 11*w + 1. Calculate x(-10).
-9
Let t(l) = -291*l**2 - 17460*l + 7. Give t(-60).
7
Let d(o) = o**3 - 21*o**2 + 6*o - 129. Calculate d(21).
-3
Let u(q) = q**2 + 40*q - 2089. Give u(-70).
11
Let m(x) = -5*x**3 + 5*x**2 + 7*x + 12. Determine m(-3).
171
Let c(y) = -2*y**3 + 13*y**2 + 30*y - 20. What is c(7)?
141
Let x(g) = -462*g + 2672. What is x(6)?
-100
Let c(u) = -u**2 - 15952*u + 95747. Give c(6).
-1
Let t(w) = w**2 - 133*w - 1737. Give t(-12).
3
Let d(g) = -4*g**3 - 34*g**2 - 2*g - 182. Determine d(-9).
-2
Let k(b) = 830*b - 339466. What is k(409)?
4
Let h(s) = s**3 - 14*s**2 + 35*s - 51. Determine h(11).
-29
Let q(d) = -2*d**2 + 23*d + 35. Give q(14).
-35
Let s(u) = 2*u**2 - 339*u - 845. Determine s(172).
15
Let m(s) = -s**2 - 84*s + | {
"pile_set_name": "DM Mathematics"
} |
10*a**2 + 7*a - 3. Let w(h) = -7*l(h) - 2*v(h). Is 15 a factor of w(-8)?
True
Let z(d) = -167*d + 3. Is 5 a factor of z(-1)?
True
Let w(b) = b. Let d(m) = -39*m + 1. Let f(x) = -d(x) - 4*w(x). Is f(5) a multiple of 29?
True
Suppose q + 4295 = 2*t, 7*t + 4*q + 10742 = 12*t. Is t a multiple of 61?
False
Let l be (3/(-12))/((-3)/228). Suppose -s + 3*n = -n - l, 0 = 2*s + 3*n + 6. Suppose -2*z + s*k - 1 + 94 = 0, z - 2*k = 47. Is 15 a factor of z?
True
Suppose 4*o - 2*x = -1094, -3*o - 3*x - 122 = 721. Is 42 a factor of (o/(-5))/((-1)/(-5))?
False
Let h(d) = 76*d - 446. Is h(22) a multiple of 20?
False
Let i(p) = p + 8. Let v be i(-9). Let b be (v/(-1))/(1/(-3)). Does 6 divide b/(-4) + 21/4?
True
Suppose 38880 = -2*k + 26*k. Is k a multiple of 16?
False
Suppose -10*n + 12*n = -f + 6023, n - 2*f - 3004 = 0. Is 35 a factor of n?
True
Let h be (-2)/5 - 18/5. Let r(f) = 4*f**2 - 4*f - 5. Let p be r(h). Suppose 4*w - 29 = j + p, 78 = 3*w + 3*j. Is 13 a factor of w?
True
Is 5 a factor of ((-70)/(-7))/(3*2/129)?
True
Suppose 4*k - 533 - 779 = 0. Does 20 divide k?
False
Let m = -1 - 3. Let i be m*(-3)/2 + -3. Suppose 7 + 33 = s + 4*p, i*p = -6. Does 16 divide s?
True
Let u(i) = -2*i**2 - 22*i - 17. Let h be u(-10). Suppose 0 = 2*q - 6*q - f + 187, h*q = f + 142. Is 47 a factor of q?
True
Suppose -3597 = -4*f + 2*a - a, -f + 3*a + 891 = 0. Is 30 a factor of f?
True
Let k(a) = 14*a**2 - 3*a - 10. Is k(-6) a multiple of 16?
True
Let j(i) = i. Let w(b) = 3*b + 8. Let a(z) = -4*j(z) + w(z). Let h be a(4). Suppose 2*p - h*q + 0*q = 44, -66 = -3*p + 2*q. Does 11 divide p?
True
Let h(t) = t**3 + 14*t**2 - 9*t - 1. Is 5 a factor of h(-14)?
True
Suppose -83*v = -474225 + 129028. Is v a multiple of 106?
False
Let c = -47 + -55. Suppose -12 = -4*s, 5*m - 588 - 138 = 3*s. Let d = c + m. Is 19 a factor of d?
False
Let v(d) = -d**2 - 26*d - 14. Suppose -2*k - 5*x = 31, -3*x - 28 - 23 = 3*k. Is 26 a factor of v(k)?
True
Let o = -1193 + 1720. Does 48 divide o?
False
Suppose -3*u + 141 = 3*q, 3*u = -4*q + 157 - 21. Is u a multiple of 13?
True
Let c = -21 - -21. Suppose 5 = x - 3*h - 11, c = x - 2*h - 19. Is 5 a factor of x?
True
Suppose u = 4, 6*s - u - 1436 = 2*s. Does 3 divide s?
True
Let x = -29 - -21. Let r be 42/x - (-2)/8. Let h = 29 + r. Is 21 a factor of h?
False
Let s = -89 - -91. Let j be 0 - (-1 + -2) - -2. Suppose 0 = -2*u - s*i + 18, -5*u + j*i = -0*i - 45. Does 4 divide u?
False
Let f(b) = -214*b - 180. Is 28 a factor of f(-10)?
True
Let q(y) be the second derivative of -47*y**3/3 - 13*y**2 + 45*y. Is q(-4) a multiple of 54?
False
Let b(x) = -3*x**3 + 2*x**2 - 11*x - 21. Is b(-6) a multiple of 15?
True
Let x(u) = 15*u**2 - u. Let n be x(1). Let v = 19 - n. Suppose 38 = -v*b + 6*b. Is b a multiple of 19?
True
Let m(l) be the third derivative of 0*l + 7*l**2 + 0 + 1/12*l**6 - 1/6*l**3 - 1/6*l**4 + 1/60*l**5. Is 25 a factor of m(2)?
True
Let i = -356 - -395. Does 20 divide i?
False
Suppose 4*m - 19 = -3*h + 151, 6 = 3*m. Suppose 186 = 4*n + h. Is n a multiple of 11?
True
Let s be -3 + -1*(-292)/(7 - 3). Let t = s - 42. Is 14 a factor of t?
True
Let u(f) = f - 12. Suppose -2*s + 28 = 4*o, -3*o + 4*o + 5 = s. Let p be u(s). Let y = p + 31. Is 14 a factor of y?
False
Let o = -189 + 405. Is (o/10 + (-24)/60)*15 a multiple of 53?
True
Let j = -83 + 129. Let n = 81 - j. Does 9 divide n?
False
Suppose -46 = -w + 10. Suppose 5*t = w + 29. Is 17 a factor of t?
True
Suppose 11*z = 10*z + 325. Is 13 a factor of z?
True
Suppose 35*l - 39*l + 2508 = 0. Does 31 divide l?
False
Let j(r) = -r**3 + 9*r**2 + 11*r + 7. Let h be j(10). Let u = h - -94. Suppose -13*k + u = -10*k. Is 25 a factor of k?
False
Does 20 divide (143946/63)/11 - (-2)/7?
False
Suppose 6*o - 4*o = 26. Suppose -6*w - 385 = -o*w. Is 6 a factor of w?
False
Let w = 266 - 152. Is 38 a factor of w?
True
Suppose -x = 7 - 1. Let u(v) = v + 6. Let w be u(x). Let n(c) = c**2 + 18. Does 7 divide n(w)?
False
Suppose 5*t = -a + 4*t, -3*t + 6 = 5*a. Suppose 5*r - a*l = -3 + 30, -3*r + 1 = 2*l. Is r a multiple of 2?
False
Let l(i) = -2*i + 10. Let n be l(3). Suppose q - 220 = -n*m, 5*m + 2*q + q - 282 = 0. Let s = m + -9. Is s a multiple of 12?
False
Suppose -4*k - 2 = 5*x - 1, k = -3*x - 9. Let c = -45 + k. Let n = 69 + c. Is 5 a factor of n?
True
Suppose -4*h = -143 - 25. Suppose 0 = -2*c - 11 - 7. Let j = h + c. Does 23 divide j?
False
Is 235/((-1)/(-6)*2) a multiple of 75?
False
Let s(d) = -3*d - 15. Let y be s(9). Let m = -17 - y. Does 5 divide m?
True
Suppose -3*j - 34 = 5*o, 0 = 2*o - 0 + 10. Let n(t) = -9*t**3 + t**2. Let s be n(-1). Is 24*(-3 - s/j) a multiple of 3?
False
Let u(p) = p**2 - p + 186. Let s be 0/(4 - 2/1). Does 21 divide u(s)?
False
Let p(z) = -56*z - 47. Let x be p(-9). Let r = x + -306. Is r a multiple of 24?
False
Suppose 3*y + 5*k = 46, 0*y - 31 = -3*y - 2*k. Suppose 4 = y*u - 9*u. Is 2*(u - -1) - -33 a multiple of 18?
False
Suppose 0 = 4*l + 5 - 17. Suppose 5*d = -l*d + 176. Is d a multiple of 4?
False
Suppose 0 = -13*q + 1602 + 543. Is 6 a factor of q?
False
Let k = -663 - -1083. Suppose 0*d = 5*d - k. Does 27 divide d?
False
Let u(j) = -290*j + 541. Is u(-17) a multiple of 13?
False
Suppose 3*a - 5 = 2*v + 5, 20 = 3*a - 4*v. Is (6 + -1)*(25 - a) a multiple of 25?
True
Let w be 173/4 + 1/(-10 + 6). Let a = 298 + w. Is a a multiple of 24?
False
Let g be 1 - 4/(-1 + 0). Let o(v) = 4*v**3 + 4*v**2 + 3*v - 3. Let m(u) = 3*u**3 + 4*u**2 + 4*u - 3. Let c(p) = 5*m(p) - 4*o(p). Does 7 divide c(g)?
False
Is (12/6 - 10)/((-9)/378) a multiple of 7?
True
Let r(t) = -t**3 + 11*t**2 - 4*t + 9. Let z be r(9). Let a = 40 - z. Let x = a - -141. Does 23 divide x?
True
Let j(w) = 10*w**2 + 4*w + 2. Let h be j(-5). Let p = -163 + h. Is 8 a factor of p?
False
Suppose 16*d - 5718 = 12*d - 2*z, -3*z - 4293 = -3*d. Is d a multiple of 22?
True
Let w(v) = 2*v - 1. Let c be w(5). Suppose c*a - 4*a = 10. Suppose 11 = a*s - s. Is 11 a factor of s?
True
Let c be (4/(-5))/((-1)/(-10)). Let q(v) = v**2 + v - 10. Is 36 a factor of q(c)?
False
Let x(w) = -w**3 - 14*w**2 - w. Suppose -2*g - 28 = -0*g. Let a be x(g). Is 90/7*a/3 a multiple of 17?
False
Let d be (-8)/10 - 4/20. Let x(k) = -5*k. Let j be x(d). Suppose -j*w = -49 - 21. Is w a multiple of 7?
True
Let w(s) = s**2 - 2*s + 25. Let f(z) = -z**2 + 3*z - 24. Let k(m) = -5*f(m) - 4*w(m). Is k(15) a multiple of 19?
False
Let x(a) = 3*a**2 - 21*a + 87. Is 29 a factor of x(7)?
True
Let m = -348 - -367. Does 2 divide m?
False
Let x(a) = -a + 28. Let q(h) be the third derivative of h**4/24 + h**3/6 - h**2. Let k be q(-1). Is x(k) a multiple of 17?
False
Suppose 431 = -y + 2*y - 5*b, -5*y + 2265 = -3*b. Suppose -2*u - i = -100, -2*i = -5*u + y - 188. Is u a multiple of 27?
False
Suppose -39*c = -32*c - 238. Let r be 8/(-9)*-3*-6. Let y = r + c. Does 9 divide y?
True
Let g be -2*9/6 - -2. Let o(q) = -36*q**2 + 1. Let k(a) = -109*a**2 + 3. Let j(d) = 2*k(d) - 7*o(d). Is j(g) a multiple of 14?
False
Let g(k) = k**2 + 4*k + 5. Let h be g(-8). Suppose -40*f + 216 = -h*f. Does 29 divide f?
False
Suppose 2*y - z - 14 = -3*z, -10 = -4*y + 2*z. Suppose 4*g - 2*j - 18 = 12, y*g = -3*j + 35. Does 2 divide g?
True
Let f be 40/18 - 4/18. Suppose 2*x + 2*i - 128 = 0, -5*x + 4*i + 214 + 106 = 0. Suppose -4*g = -f*g - x. Is 9 a factor of g?
False
Let m be 3 - ((2 - 1) + -1). Suppose 5*u = -3*p + 9 + 55, -5*p - u = -136. Suppose -m*j + 4*n = -24 - p, 2 = n. Does 17 divide j?
False
Let i be (-6 + 0)*2/(-6). Let h be 8/(-20) - i/(-5). Suppose 14 = -h*s + s. Is s a multiple of 4?
False
Let z(v) = -8*v - 36 + 2 - 4*v. Is z(-8) a multiple of 6?
False
Let q(l) = -l**3 + 6*l**2 - 5*l - 1. Let i be q(4). Let y be 2/((-2)/(-3)*1). Suppose y*f = -2 + i. Is 3 a factor of f?
True
Let w(j) = -j**2 - 12*j - 7. Let m be w(-11). Let r(b) = -3*b**3 + 6*b**2 - 2*b + 2. Let f be r(m). Let n = f + 180. Is n a multiple of 13?
True
Does 21 divide 8/(-14) - (-7488)/168?
False
Suppose 33 - 13 = 2*n. Let w be (1*-1)/(n/(-30)). Is 25 a factor of 25*(-1 + w + -1)?
True
Suppose 0 = 2*n + 6, -5*t + 10*n + 8086 = 8*n. Is t a multiple of 16?
True
Let h = -106 - -108. Suppose 0 = h*c - b - 149, 5*c + 2*b - 493 = -116. Is c a multiple of 15?
True
Let t(h) = 2*h**2 - 39*h + 75. Is t(-21) a multiple of 111?
True
Suppose 3*u + | {
"pile_set_name": "DM Mathematics"
} |
2*y
What is the w'th term of -1285, -1292, -1299?
-7*w - 1278
What is the k'th term of 326, 1333, 3024, 5399, 8458, 12201, 16628?
342*k**2 - 19*k + 3
What is the f'th term of -32, -39, -50, -65, -84, -107, -134?
-2*f**2 - f - 29
What is the p'th term of -218, -220, -222, -224, -226, -228?
-2*p - 216
What is the k'th term of 22211, 22218, 22229, 22244?
2*k**2 + k + 22208
What is the v'th term of -48, -42, -36?
6*v - 54
What is the b'th term of -685, -1368, -2051, -2734, -3417?
-683*b - 2
What is the q'th term of -44, -44, -60, -104, -188, -324?
-2*q**3 + 4*q**2 + 2*q - 48
What is the a'th term of 1, 14, 31, 52, 77, 106?
2*a**2 + 7*a - 8
What is the x'th term of 88, 56, 28, 4?
2*x**2 - 38*x + 124
What is the g'th term of 51, 72, 111, 174, 267, 396, 567, 786?
g**3 + 3*g**2 + 5*g + 42
What is the m'th term of -155, -309, -463, -617, -771?
-154*m - 1
What is the u'th term of -27, -48, -85, -138, -207, -292?
-8*u**2 + 3*u - 22
What is the o'th term of 145, 292, 439, 586?
147*o - 2
What is the r'th term of 193, 410, 633, 868, 1121, 1398?
r**3 - 3*r**2 + 219*r - 24
What is the g'th term of -4, -15, -16, -1, 36?
g**3 - g**2 - 15*g + 11
What is the i'th term of 20, 57, 114, 191, 288, 405, 542?
10*i**2 + 7*i + 3
What is the j'th term of 14, 54, 122, 218, 342, 494?
14*j**2 - 2*j + 2
What is the r'th term of 45, 74, 81, 66, 29, -30, -111?
-11*r**2 + 62*r - 6
What is the c'th term of 721, 1452, 2183, 2914, 3645?
731*c - 10
What is the x'th term of -2075, -2064, -2037, -1988, -1911, -1800?
x**3 + 2*x**2 - 2*x - 2076
What is the d'th term of 1602, 3232, 4864, 6498, 8134, 9772?
d**2 + 1627*d - 26
What is the w'th term of -85, -166, -249, -334, -421?
-w**2 - 78*w - 6
What is the g'th term of -7, -13, -23, -37?
-2*g**2 - 5
What is the y'th term of 12, 10, 6, 0?
-y**2 + y + 12
What is the k'th term of -1163, -1139, -1113, -1085, -1055, -1023?
k**2 + 21*k - 1185
What is the a'th term of -183, -189, -197, -207?
-a**2 - 3*a - 179
What is the k'th term of 29, 44, 49, 44, 29?
-5*k**2 + 30*k + 4
What is the w'th term of -107, -82, -57, -32, -7?
25*w - 132
What is the y'th term of 722, 710, 674, 602, 482, 302, 50, -286?
-2*y**3 + 2*y + 722
What is the a'th term of -486, -491, -496?
-5*a - 481
What is the k'th term of -343, -351, -359?
-8*k - 335
What is the p'th term of 12, 29, 70, 147, 272, 457, 714?
2*p**3 + 3*p + 7
What is the h'th term of 83, 159, 235, 311?
76*h + 7
What is the o'th term of 134, 144, 170, 218, 294, 404, 554, 750?
o**3 + 2*o**2 - 3*o + 134
What is the z'th term of 34, 49, 64, 79, 94, 109?
15*z + 19
What is the p'th term of 19717, 19718, 19719?
p + 19716
What is the h'th term of 126, 251, 376, 501, 626?
125*h + 1
What is the a'th term of 10, 21, 40, 67, 102?
4*a**2 - a + 7
What is the d'th term of 489, 982, 1475, 1968, 2461, 2954?
493*d - 4
What is the s'th term of -12, -7, 10, 45, 104, 193?
s**3 - 2*s - 11
What is the f'th term of 38, 23, -6, -55, -130, -237, -382, -571?
-f**3 - f**2 - 5*f + 45
What is the p'th term of -4, -1, 10, 29?
4*p**2 - 9*p + 1
What is the b'th term of 72, 57, 30, -15, -84, -183?
-b**3 - 8*b + 81
What is the h'th term of -153, -162, -171?
-9*h - 144
What is the m'th term of -26, -61, -96, -131, -166, -201?
-35*m + 9
What is the u'th term of -23, -48, -83, -134, -207, -308, -443?
-u**3 + u**2 - 21*u - 2
What is the m'th term of -211, -461, -711?
-250*m + 39
What is the p'th term of 23, 32, 43, 56, 71, 88, 107?
p**2 + 6*p + 16
What is the v'th term of 553, 551, 549, 547, 545, 543?
-2*v + 555
What is the z'th term of 5, 9, 13, 17, 21?
4*z + 1
What is the y'th term of 411, 1630, 3659, 6498?
405*y**2 + 4*y + 2
What is the d'th term of -160, -173, -186, -199, -212?
-13*d - 147
What is the v'th term of 18, 20, 26, 36, 50, 68, 90?
2*v**2 - 4*v + 20
What is the s'th term of 3359, 13449, 30261, 53789, 84027, 120969, 164609?
-s**3 + 3367*s**2 - 4*s - 3
What is the n'th term of -211, -182, -151, -118, -83, -46?
n**2 + 26*n - 238
What is the t'th term of -110, -121, -148, -197, -274, -385, -536, -733?
-t**3 - 2*t**2 + 2*t - 109
What is the q'th term of 5045, 5044, 5043, 5042, 5041, 5040?
-q + 5046
What is the x'th term of -10, -61, -114, -169?
-x**2 - 48*x + 39
What is the v'th term of 38, 82, 126?
44*v - 6
What is the h'th term of 29, 39, 39, 23, -15, -81, -181?
-h**3 + h**2 + 14*h + 15
What is the b'th term of 644, 641, 636, 629, 620?
-b**2 + 645
What is the k'th term of -36, -41, -46, -51, -56?
-5*k - 31
What is the j'th term of -673, -672, -671?
j - 674
What is the s'th term of -516, -522, -516, -492, -444, -366?
s**3 - 13*s - 504
What is the i'th term of 41, 53, 65, 77, 89, 101?
12*i + 29
What is the q'th term of 188, 189, 190, 191, 192, 193?
q + 187
What is the r'th term of -12, -25, -36, -45?
r**2 - 16*r + 3
What is the l'th term of -22, -34, -58, -100, -166, -262, -394, -568?
-l**3 - 5*l - 16
What is the f'th term of -478, -960, -1442?
-482*f + 4
What is the m'th term of -17, -8, 23, 88, 199, 368?
2*m**3 - m**2 - 2*m - 16
What is the c'th term of -234, -239, -248, -261, -278?
-2*c**2 + c - 233
What is the s'th term of -17, -36, -67, -116, -189, -292?
-s**3 - 12*s - 4
What is the m'th term of 36, 46, 70, 114, 184?
m**3 + m**2 + 34
What is the f'th term of 6, 12, 10, -6, -42, -104, -198, -330?
-f**3 + 2*f**2 + 7*f - 2
What is the v'th term of 3, 18, 35, 54, 75, 98?
v**2 + 12*v - 10
What is the h'th term of 47, 45, 55, 83, 135, 217, 335?
h**3 - 9*h + 55
What is the a'th term of 217, 233, 263, 313, 389, 497?
a**3 + a**2 + 6*a + 209
What is the b'th term of -82, -325, -730, -1297, -2026?
-81*b**2 - 1
What is the y'th term of 253, 243, 233, 223?
-10*y + 263
What is the w'th term of 3125, 6246, 9369, 12494, 15621, 18750?
w**2 + 3118*w + 6
What is the u'th term of 60, 66, 72?
6*u + 54
What is the l'th term of 71, 127, 181, 233, 283, 331, 377?
-l**2 + 59*l + 13
What is the p'th term of -55, -67, -79, -91, -103, -115?
-12*p - 43
What is the v'th term of 38, 83, 144, 227, 338, 483, 668?
v**3 + 2*v**2 + 32*v + 3
What is the l'th term of -63, -122, -181, -240, -299, -358?
-59*l - 4
What is the l'th term of -6, -12, -18, -24?
-6*l
What is the s'th term of 249, 229, 205, 177, 145?
-2*s**2 - 14*s + 265
What is the q'th term of -24, 17, 68, 135, 224, 341, 492, 683?
q**3 - q**2 + 37*q - 61
What is the t'th term of -112, -445, -1028, -1885, -3040, -4517, -6340, -8533?
-4*t**3 - 101*t**2 - 2*t - 5
What is the f'th term of 233, 236, 241, 248?
f**2 + 232
What is the z'th term of 10, 35, 70, 109, 146, 175, 190?
-z**3 + 11*z**2 - z + 1
What is the t'th term of 600, 1190, 1768, 2328, 2864, 3370?
-t**3 + 597*t + 4
What is the m'th term of 6, 65, 156, 273, 410, 561, 720?
-m**3 + 22*m**2 - 15
What is the t'th term of -17, 41, 219, 577, 1175?
10*t**3 - 12*t - 15
What is the f'th term of -17607, -35212, -52817, -70422, -88027?
-17605*f - 2
What is the s'th term of -18, -90, -214, -390, -618, -898, -1230?
-26*s**2 + 6*s + 2
What is the z'th term of 4296, 8594, 12892, 17190?
4298*z - 2
What is the w'th term of 184, 183, 182, 181, 180, 179?
-w + 185
What is the l'th term of 6, 19, 26, 21, -2, -49, -126, -239?
-l**3 + 3*l**2 + 11*l - 7
What is the w'th term of 543, 540, 535, 528, 519?
-w**2 + 544
What is the w'th term of -151, -240, -329, -418, -507?
-89*w - 62
What is the o'th term of 356, 711, 1066, 1421, 1776?
355*o + 1
What is the j'th term of 1, 17, 33?
16*j - 15
What is the o'th term of -11868, -11870, -11872?
-2*o - 11866
What is the t'th term of -37, -94, -173, -274, -397, -542?
-11*t**2 - 24*t - 2
What is the p'th term of 712, 1414, 2114, 2812, 3508?
-p**2 + 705*p + 8
What is the w'th term of 1058, 2116, 3174?
1058*w
What is the c'th term of -70, -316, -728, -1306, -2050?
-83*c**2 + 3*c + 10
What is the t'th term of -13228, -26457, -39686, -52915?
-13229*t + 1
What is the i'th term of -25, -45, -65?
-20*i - 5
What is the b'th term of -131, -60, 13, 88, 165, 244?
b**2 + 68*b - 200
What is the v'th term of 26, 107, 242, 431?
27*v**2 - 1
What is the m'th term of 111, 447, 1009, 1797, 2811, 4051?
113*m**2 - 3*m + 1
What is the x'th term of -3, -61, -165, -315, -511?
-23*x**2 + 11*x + 9
What is the q'th term of -195, -792, -1787, -3180, -4971?
-199*q**2 + 4
What is the f'th term of 404, 804, 1202, 1598?
-f**2 + 403*f + 2
What is the a'th term of -11, 24, 6 | {
"pile_set_name": "DM Mathematics"
} |
-180/7, -143, 0.3?
0.3
What is the second biggest value in 20/721, 4, 2, 5/3?
2
What is the third smallest value in -2019, -30.4, 2/9?
2/9
Which is the second biggest value? (a) 3.1 (b) 2221544 (c) -5
a
What is the sixth biggest value in 0.3, -2/5, 5, -25, -7/40, 4, -430?
-25
What is the seventh smallest value in 1, -1351, -1, -0.2, 0.2, 3, -1.9?
3
Which is the second biggest value? (a) -3 (b) 63 (c) 2255 (d) 0.3
b
What is the fourth biggest value in 4, 3, 2/7, 5, 0.21, 0.4, -9?
0.4
What is the second biggest value in -0.1, 46, 4, 118, -4?
46
What is the fourth smallest value in 3/14, -2/9, -5/7, -3, 2/11, -47?
-2/9
Which is the second smallest value? (a) 2/11 (b) -2278.66 (c) 0
c
Which is the fifth biggest value? (a) 15.88 (b) 3/7 (c) 12 (d) -3/5 (e) -7
e
What is the sixth smallest value in -3.5, 2/15, 4, -1/5, -0.5, -18/5?
4
What is the sixth smallest value in 134, 7, 0, 362, 0.05, 3?
362
Which is the third biggest value? (a) -1/11 (b) 160/3 (c) 8 (d) 1/13
d
What is the second biggest value in 0.2, 3, 6, 2/11, 9, 8?
8
What is the fourth smallest value in -4/11, 1, 0.1, -11/3, 4, 383?
1
Which is the sixth smallest value? (a) -2/37 (b) 390 (c) 2/11 (d) -228/11 (e) -5/2 (f) 5
b
Which is the fifth smallest value? (a) -3 (b) -2/89 (c) -88 (d) -69 (e) -2/3
b
Which is the second biggest value? (a) 2283/15206 (b) 0 (c) 4
a
Which is the smallest value? (a) -2/7 (b) 2/19071 (c) -4 (d) 0.08 (e) -0.4
c
What is the third biggest value in 0.02, 33312, 2, -1, -3, 0.05?
0.05
Which is the third biggest value? (a) -1967 (b) 1.8 (c) -13
a
What is the smallest value in -3, -2, 21142/7?
-3
Which is the sixth biggest value? (a) -0.062 (b) 3 (c) 5 (d) -435 (e) 129 (f) -3
d
What is the third smallest value in -31, -1/308, -7/6, -2, -11?
-2
What is the smallest value in -0.0279602, -0.3, -1/11?
-0.3
What is the fourth smallest value in 5, -1/6, 136, 2/11, 2347, 2/3?
5
Which is the fourth biggest value? (a) -7 (b) -97 (c) 0.22 (d) 0.202
b
What is the seventh biggest value in 34, 0.275, -4/7, -4, 1/4, -3, -2?
-4
Which is the fourth smallest value? (a) 91 (b) 5 (c) 0.10241 (d) -0.5
a
Which is the third smallest value? (a) -0.5 (b) -36 (c) -4/7 (d) -2/7 (e) -9 (f) -0.4
c
Which is the fifth biggest value? (a) 1/437 (b) -0.21 (c) -0.1 (d) -5/2 (e) -0.02 (f) 3/7
b
Which is the fifth biggest value? (a) 0 (b) -1276.4 (c) -3/10 (d) 0.4 (e) 1
b
What is the smallest value in -0.1, -0.5, -0.2, 0.4, -185.1, -6/37?
-185.1
Which is the second biggest value? (a) 3 (b) 6/29 (c) -43264
b
Which is the third smallest value? (a) 1.7 (b) 0 (c) 1/15 (d) 3/14 (e) -0.2 (f) -3/4 (g) -4
e
Which is the third biggest value? (a) -4 (b) 0.0328151 (c) 20
a
Which is the second smallest value? (a) -5446 (b) 23 (c) -1734
c
What is the third biggest value in -4, 0.1, 3, -2/9, 0, -4674?
0
Which is the smallest value? (a) -15/2 (b) -21 (c) -3 (d) -29 (e) 1/9 (f) -237 (g) 3
f
Which is the second smallest value? (a) 21537 (b) 2/9 (c) -3 (d) 9/7
b
What is the fourth biggest value in 5/2, 0.37, 2, -2/7, -23, 184?
0.37
What is the fourth biggest value in -5, -0.2, -8, 0.1, 2.4, 1, -0.496?
-0.2
Which is the smallest value? (a) 5 (b) 0.061641 (c) -0.7 (d) 4
c
Which is the second biggest value? (a) 18 (b) -21357 (c) 0.07 (d) 1
d
Which is the biggest value? (a) 42.5 (b) 6715/6 (c) 2/5
b
Which is the fourth biggest value? (a) -1 (b) -12 (c) 0.08 (d) 58107
b
Which is the second biggest value? (a) -5 (b) 18 (c) 4 (d) -53 (e) -123
c
What is the sixth smallest value in 3/4, 3, -5, 1, 6/19, 4/5, 89?
3
What is the sixth smallest value in -1/11, 18, -57, 2, -1, 2.8?
18
Which is the third smallest value? (a) 94 (b) 0.3 (c) -12896/9
a
Which is the second biggest value? (a) 3735 (b) 61 (c) 342
c
Which is the third smallest value? (a) -3/7 (b) 142 (c) -3598
b
Which is the fifth smallest value? (a) -0.02 (b) 2 (c) 10 (d) -377 (e) -5
c
Which is the fourth biggest value? (a) -267/5 (b) 56/31 (c) -3/7 (d) -0.3
a
What is the third biggest value in -3/5, 2, 147, 5, -5?
2
Which is the second biggest value? (a) 2/3 (b) 89858 (c) 4.4 (d) -0.1
c
Which is the fifth smallest value? (a) 22/9 (b) -2 (c) -0.07 (d) -12 (e) -4 (f) 4/3
f
What is the third smallest value in 34352, 1/5, -2, 2/11?
1/5
Which is the third biggest value? (a) -0.1 (b) -6 (c) 4/3 (d) -13/7 (e) -182
d
What is the second smallest value in -35300, -6.4, -5, 0.7?
-6.4
Which is the biggest value? (a) 0.03012274 (b) -2 (c) -6
a
Which is the biggest value? (a) -5 (b) 3/8 (c) 46241 (d) 2/17 (e) -2 (f) -17
c
What is the third smallest value in 51/2, 2/11, 2, 0, 0.33, -0.121?
2/11
What is the second smallest value in 0, -133, 378/3785, -2/15?
-2/15
Which is the sixth biggest value? (a) 2 (b) -2/9 (c) 5 (d) -222 (e) 0.9 (f) 5/2
d
What is the fifth smallest value in 2, -2, 0.3, -283, 1/30, -0.137?
0.3
What is the third biggest value in -5/7, -3, 6, -17/15, -8.49?
-17/15
What is the smallest value in -32.59, 26, -0.05?
-32.59
What is the third biggest value in -67812, 4, -0.4, 5, -0.5, -3, -0.2?
-0.2
Which is the fourth smallest value? (a) -3 (b) -65 (c) 2.23 (d) -101
c
Which is the third biggest value? (a) 5182 (b) 8 (c) -18 (d) -0.4 (e) -1 (f) 1
f
What is the fourth smallest value in -4/1183, 0.3, -1, -6/445?
0.3
What is the biggest value in -0.5, -345.2, 32, -49, -4?
32
Which is the second biggest value? (a) -0.4 (b) -14 (c) 352 (d) 0.25
d
What is the biggest value in -2.6, 2/37, -485381, 0.2?
0.2
Which is the fourth smallest value? (a) -0.56 (b) -181/6 (c) -0.3 (d) 414
d
Which is the second biggest value? (a) 0.3 (b) -2 (c) -2/141 (d) -30.8
c
Which is the biggest value? (a) 1/6 (b) -9445 (c) -0.2 (d) 18 (e) -5 (f) 0.2
d
What is the smallest value in 1.7, -16.66, 0.01, 0.5, 0.3, -1.1, -4?
-16.66
Which is the fifth biggest value? (a) 1/5 (b) 121 (c) 1/17 (d) -14 (e) 0.06 (f) -6 (g) -5
g
Which is the third smallest value? (a) 0 (b) 3/1276535 (c) -6
b
What is the seventh smallest value in -1/4, -4/21, -0.5, 1.27, 4, 3, 2/5?
4
Which is the second biggest value? (a) -3 (b) -2 (c) 441.5178 (d) 3
d
Which is the smallest value? (a) 55262/23 (b) -1/5 (c) 2/13
b
Which is the smallest value? (a) 51.926 (b) -3 (c) -34
c
What is the second biggest value in -2, 365914, 4, 16?
16
Which is the third biggest value? (a) -3/8 (b) -273 (c) 1/2 (d) 2/675 (e) 0
e
What is the fourth smallest value in 2/9, 2, 80, -317184?
80
Which is the third biggest value? (a) 0.4 (b) 3.6 (c) -236 (d) -0.08
d
What is the second smallest value in 0.6, -116, -0.027, -18?
-18
Which is the second biggest value? (a) -25/6 (b) 5 (c) -102619
a
What is the sixth smallest value in 4, 4/7, 2/11, 0.2, -55369, -4, -2.5?
4/7
What is the fifth smallest value in 1295, -0.4, 1/11, -1/29, 2?
1295
Which is the second biggest value? (a) -2/1406299 (b) -10 (c) 1/5
a
Which is the second biggest value? (a) -33 (b) 2532 (c) -2795 (d) -0.1
d
What is the sixth biggest value in -0.4, -1, -5, 1, -11, 170?
-11
What is the second biggest value in -0.003, -1.1728, -1/9?
-1/9
Which is the fifth biggest value? (a) 11.4 (b) 14 (c) 0.3 (d) -2/21 (e) 0.7
d
Which is the fourth smallest value? (a) -0.2 (b) -3 (c) 336/61 (d) 108 (e) 0 (f) 0.06
f
What is the second biggest value in 4, 0.4, -1.4, -1356, -5?
0.4
What is the smallest value in -1/432, 0.4, -2, 3, -34101?
-34101
What is the second biggest value in 45, -27, -2, 6277, -0.3?
45
Which is the fourth biggest value? (a) 79.3 (b) -1.42 (c) -3 (d) -26
d
What is the third biggest value in 1, -4, 850.5, -10, -0.02?
-0.02
What is the third smallest value in 1/5, 122, -2476/15?
122
Which is the fifth biggest value? (a) 1 (b) 0.1 (c) -6/7 (d) -2 (e) -3633 (f) 5/7
d
Which is the smallest value? (a) -1 (b) 64 (c) 3 (d) -2/13 (e) 108.2 (f) 2
a
What is the biggest value in 2/5, 16, -0.5, -3/41, 11, -1, -5?
16
What is the fifth smallest value in 2/5, -0.137, 1/4, -18, -12, 3/7?
2/5
Which is the third smallest value? (a) 2352 (b) -1.12 (c) 0.0397
a
Which is the sixth biggest value? (a) 3 (b) 3/5 (c) -0.5 (d) 12619 (e) -2 (f) 5
e
Which is th | {
"pile_set_name": "DM Mathematics"
} |
form b*l**2 + v*l + d*l**3 + o + h*l**4 and give h.
14
Express -19*u + 34*u - 37*u in the form p*u + y and give p.
-22
Rearrange 7*z**3 + 2*z**4 - 9*z**2 + 10*z**2 + 2*z**3 to n + i*z + j*z**3 + q*z**4 + t*z**2 and give q.
2
Express -424*q**2 + 425*q**2 + 0*q - q in the form c*q + v + u*q**2 and give c.
-1
Rearrange (-2*f + 0 + 0)*(-6 + 1 - 2 + (-3 + 4 + 1)*(-3 - 2 + 4)) + 0*f - f - f to the form l*f + i and give l.
16
Express r + 5*r + 10*r + r as z*r + b and give z.
17
Express -s**2 + 10*s**2 + 5*s**3 - 4*s**2 in the form a + m*s**2 + k*s + w*s**3 and give w.
5
Rearrange 3*u**2 + 6*u**3 + 2 - 3*u**3 - 5*u**3 to k*u**2 + j + o*u + h*u**3 and give k.
3
Rearrange 155*r - 51*r + 82*r to d + k*r and give k.
186
Rearrange 72 + 98*p - 72 to u*p + l and give u.
98
Express 18*u - 10*u + 17*u as z + h*u and give h.
25
Express f**3 + 0*f**3 + 0*f**3 + (2 - 2 + 3*f**2)*(-12 + 12 - 23*f) as w*f + d + t*f**2 + b*f**3 and give b.
-68
Rearrange 2*d**2 + d - d**2 + d**4 - 188 + 3*d**3 + 185 to z*d**2 + r*d**3 + f*d + h + j*d**4 and give z.
1
Express 5*a**4 - 2*a**3 - 9*a + 4*a**3 + 0*a**3 + 15*a + a**2 in the form x*a**3 + v + m*a**4 + f*a**2 + p*a and give v.
0
Express -3988 - 3*o**2 + o**2 + 3986 + 2*o**4 - 2*o - 4*o**3 in the form j*o + w*o**3 + z*o**2 + d*o**4 + a and give w.
-4
Express (0*q + q - 2*q)*(5 + 10 - 11) in the form r + u*q and give u.
-4
Express (-z**2 + 1 - 1)*(2 - 2 - 1) + 0*z**2 - z**2 - z**2 - 2*z**2 + z**2 + 3*z**2 - 66*z**2 + 37*z**2 + 34*z**2 - 2 as d + s*z**2 + c*z and give d.
-2
Rearrange 55*t + 32*t - 43*t to the form q + i*t and give i.
44
Rearrange (2 + 1 + 6*s - 3*s)*(-4 + 0 + 1) to the form f + l*s and give f.
-9
Rearrange (-o - 2 + 2)*(-195*o**2 - 265*o**2 - 9*o**2 - 250*o**2) to d + z*o + j*o**3 + h*o**2 and give d.
0
Rearrange (-2*t - 5 + 5)*(-4*t**2 + 4*t**2 + t**3) + 0*t**2 + 0*t**2 - t**4 - 21 - t**2 - t - 6*t**4 + 21 to w + u*t**2 + f*t**4 + o*t**3 + y*t and give u.
-1
Express -39 + 39 + 26*x as w*x + k and give w.
26
Rearrange -21*f + 15*f - 2*f**4 + 8*f - 3*f**2 to the form d*f**2 + v*f**4 + n*f + r*f**3 + u and give v.
-2
Rearrange -3*q - 3 + 3 + 8*q to m*q + t and give m.
5
Rearrange (6 - 4*f - 6 - 3 + 3 + f + 0*f - 2*f + f + (0 - 2*f + 0)*(0 + 0 + 1) + 3*f - 4*f - f)*(2 + 0 - 1) to the form z + q*f and give q.
-8
Express (1 - 4 + 2)*(-u + u + 2*u**2) + 2*u**2 - 3*u**2 + 2*u**2 + (5 - 5 - u)*(-u - 2*u + 0*u) in the form s + p*u + x*u**2 and give p.
0
Express -35 + 14 + 6*s + 20 + 2*s in the form r + o*s and give o.
8
Rearrange 11*w**2 + 4*w - 2*w - 4*w**2 to the form m*w**2 + k + z*w and give m.
7
Express -3*k**2 + 5*k**2 - 4*k**2 + 2*k**2 - k**2 + 2*k**2 + (0*k - k + 2*k)*(2*k - 1 + 1) as q*k**2 + g + u*k and give q.
3
Rearrange 229 + 43*b**2 + 2*b - 229 - 11*b**2 to s*b + i*b**2 + d and give i.
32
Express -2*u - u + u - 2*u**4 - 2 - u**3 in the form j*u**4 + z*u + f + v*u**2 + d*u**3 and give d.
-1
Express (-2 + 0 + 4)*(y**2 + 2*y + 0*y - 3*y) in the form z*y + o*y**2 + f and give z.
-2
Rearrange -25*j**2 + 27 + 33 + j - 62 to the form q*j + c*j**2 + f and give c.
-25
Express (-z + 4*z - z)*(-7*z + 0*z + 0*z)*(2*z - 2*z - z) as j + m*z**2 + w*z**3 + x*z and give w.
14
Express -5 + 5 + 2*j + (-7 + 3 + 6)*(1 - 1 - 2*j) in the form f + l*j and give l.
-2
Express (10*c + c + 9*c)*(2 + 2 - 2 + (1 - 1 + 1)*(4 - 3 - 3) + 6 - 4 - 4)*(-c - c + 3*c) as y*c + w + n*c**2 and give n.
-40
Express (-3*x**2 - 3*x**2 + 2*x**2)*(-3 + x + 3 + (-2*x - 2*x + 3*x)*(-2 + 0 + 0) + x + 0*x - 3*x) in the form p*x**3 + y + h*x + f*x**2 and give p.
-4
Express (0 - 2 - 3)*(-n + 5*n + n)*(-4*n**2 + 6*n**2 + 2*n**2) as z*n**3 + k + i*n**2 + o*n and give z.
-100
Rearrange (-2*k + k + 4*k)*(4 + 2 - 3) + (-1 - 2 + 4)*(-3*k + 3*k - 2*k) to w*k + x and give w.
7
Express 11*d - 31 + 31 in the form r*d + k and give r.
11
Express -118*f - 129*f + 254*f - 16 in the form u*f + v and give u.
7
Express -i**3 + i - i + (i**2 + 14*i**2 + 19*i**2)*(i - 6*i + i) in the form x + m*i**2 + v*i**3 + k*i and give v.
-137
Rearrange (2*b**2 + 12*b**2 + 11*b**2)*(-2 + 2 + 2)*(1 - 3 + 1) to s*b**2 + c + z*b and give c.
0
Express -2*d - 5 + 9*d**2 + 4 + 2*d**2 in the form o + b*d**2 + f*d and give o.
-1
Express (4*h + 0*h - 3*h)*(-h**3 - 3*h**3 + 5*h**3) + (2*h**3 - 4*h**3 + 0*h**3)*(0 - h + 0) in the form a*h**2 + o*h + d*h**4 + l + v*h**3 and give d.
3
Rearrange -5 - 3*v**2 + 5 to the form s*v + z + b*v**2 and give b.
-3
Express -5 + 5 + 18*l in the form k + o*l and give o.
18
Express (-9 - 4*v + 9)*(5 - 4 + 7)*(-2*v**3 + 4*v**3 - 3*v**3) as x*v**3 + q + t*v**4 + p*v**2 + k*v and give t.
32
Express 0 + 0 - r + (-4 + 2 + 3)*(0*r - 3*r + 2*r) - 3*r + 0*r - 2*r - 3*r + 3*r - 3*r + (-2*r + 0 + 0)*(0 + 3 - 1) - 5*r + 4*r + 0*r as v + j*r and give j.
-15
Express -5 - 8*j**2 + 7 - j**2 as k + z*j + h*j**2 and give k.
2
Express -2*o**2 - 6 + 12 - 4 - 3*o - o as j*o**2 + w + i*o and give i.
-4
Express 163 + 20*y - 163 as l + t*y and give t.
20
Rearrange 18 + 7*g - 37 + 16 to the form k*g + n and give k.
7
Rearrange 6 + 2*d**2 + d**4 - 6 + 0*d**3 - 3*d**3 to w + j*d**3 + o*d**2 + b*d**4 + s*d and give b.
1
Rearrange -n + 20*n + 0*n + 6*n to d*n + i and give d.
25
Express 4 + 0 + 37*n**2 - 36*n**2 + n as i + u*n**2 + l*n and give i.
4
Express -b**3 - 5 - 2 + 1 + 5 in the form q*b**3 + z + a*b**2 + n*b and give z.
-1
Rearrange (s + s - 3*s)*(-2 + 0 + 4)*(-3*s + 2*s + 6*s - s + 4*s - s + (3 - 3 + 4)*(-4*s + 6*s + 0*s)) to the form n*s + w + r*s**2 and give r.
-30
Rearrange 5 + 3*d + 2*d**2 - 8 + 3 to u*d + r + q*d**2 and give q.
2
Rearrange 6*c - 2*c - 3*c + (-3*c + 5*c - c)*(3 + 0 - 2) + (3 + 2 - 4)*(-2*c + 4*c - 3*c) - 7*c + 13*c + 4*c to the form i + d*c and give d.
11
Express -14*y**2 + 5*y**2 + 4*y**2 in the form i + s*y**2 + a*y and give i.
0
Express -7*y + y**2 + 1 + 6 - 9*y**2 + 6*y**2 in the form k*y + u + l*y**2 and give l.
-2
Express (4 + 5 - 4)*(2 - 2 - q) + 4*q + q - 4*q as w + d*q and give d.
-4
Express 2 + 3*t**2 - t**3 + 0*t**3 - 317*t + 322*t + 0*t**3 in the form i*t**2 + v*t + c*t**3 + p and give i.
3
Rearrange -20*g**2 + 19*g**3 + 19*g**2 - 8 + 2*g - 18*g**3 to the form q*g**2 + r*g + n + k*g**3 and give q.
-1
Express -9 + 2 + 2 + 4 + s as y + i*s and give i.
1
Express -16*c - c**2 - 5*c**4 + 13*c + 2 + 4*c as y*c**3 + n*c + r*c**2 + x*c**4 + o and give x.
-5
Express -2*z**2 - 1 - 2*z**2 + 7*z**2 as f*z**2 + m*z + w and give w.
-1
Express b**2 + 3*b**2 + 19*b + 20*b - 41*b in the form y*b + k + t*b**2 and give k.
0
Rearrange -3 - 6*r + 3 to x + f*r and give f.
-6
Express (-2 - 4 - 6)*(q - 5*q + 2*q) + 7*q + 4*q + 4*q in the form g*q + w and give g.
39
Rearrange 4*k - 127 + 127 to a*k + z and give a.
4
Express -3 + r**3 + 0*r**3 + 4 - 3*r**2 + 1 in the form v*r**3 + o*r + t + s*r**2 and give v.
1
Rearrange (27*u + 4*u - 13*u)*(-u**2 - 3*u**2 + 5*u**2) to z*u**3 + q*u + k*u**2 + d and give k.
0
Rearrange (3 + i - 3)*(-2 + 6 - 2) + 14 + 40 - 377*i - 54 to r*i + b and give r.
-375
Rearrange (5 - x - 5)*(0 + 4 - 6) - 11*x - 4*x - 2*x to s + d*x and give d.
-15
Rearrange (168 - 370 + 188)*(3*r - 5*r + 3*r) to l*r + x and give l.
-14
Express 46 - 46 - 22*t in the form n*t + h and give n.
-22
Rearrange 4*c**4 - c**3 + 7*c**3 + 0*c + 2*c - 4*c**3 to s*c**3 + u*c + o + j*c**2 + w*c**4 and give s.
2
Rearrange (-3*l + 0 + 0)*(-1 + 1 - 2)*(3*l - l - l) to q*l + o*l**2 + v and give v.
0
Express (2*h + 2*h - 2*h)*(4 - 12 + 9) in the form p*h + t and give p.
2
Rearrange 48 - 23 - w**2 - 23 + 4*w**3 to the form r + z*w**2 + h*w + v*w**3 and give z.
-1
Express (-4 + 2 + 1)*(-1 - 1 + 0)*(4 - 1 - 4 + (0 + 2 + 0)*(4 - 2 - 3) - 4 + 3 - 1)*(-4*v**2 + 3*v**2 - v**2) as t*v**2 + q*v + k and give t.
20
Rearrange -9*d**3 + d - 6*d**4 + 3*d**3 + 5*d**3 to the form k*d**3 + u + p*d**4 + g*d + c*d**2 and give g.
1
Rearrange -105 + 10*h + 105 to m*h + s and give s.
0
Rearrange (-21*p**2 + 19*p**2 + 16*p**2)*(-3 - p + 3) to the form h + l*p**2 + q*p + x*p**3 and give x.
-14
Rearrange -6*j - j - 4*j to i + y*j and give y.
-11
Express -2*z - 8*z + 2*z**2 - 4*z**2 as a*z + d + i*z**2 and give i.
-2
Rearrange (-1 + 1 - 1)*(b + 2*b + 15*b) to s + f*b and give f.
-18
Rearrange 2*j - 12*j + 7*j + 14*j to the form x + t*j and give t.
11
Express 14 - o - 32 + 12 in the form w + x*o and give w.
-6
| {
"pile_set_name": "DM Mathematics"
} |
7 - 20*a**2 + o*a**2 - 29 + 7 wrt a?
116*a
Let d(g) = -g**2 - 17*g. Let r be d(-14). Find the first derivative of l**2 + 6*l**4 - r*l**4 + 49 - 146 wrt l.
-144*l**3 + 2*l
Let q(m) be the third derivative of -139*m**7/210 + m**6/60 - m**4/24 - 1510*m**3/3 - 661*m**2. Find the first derivative of q(g) wrt g.
-556*g**3 + 6*g**2 - 1
Differentiate -444 - 969*w + 2522 - 1030*w - 721*w + 498 with respect to w.
-2720
Let c(b) = 7*b - 9. Let t be c(4). Suppose -14*z = -t*z + 10. What is the second derivative of 43*n**2 - 68*n**2 - 15*n**z + 4*n wrt n?
-80
Let u(r) be the third derivative of 2*r**2 - 1 + 0*r + 11/120*r**6 - 1/6*r**3 + 1/35*r**7 - 37/30*r**5 + 0*r**4. What is the third derivative of u(z) wrt z?
144*z + 66
Let o = 13 - 9. Let c(h) = -38*h - 254. Let j be c(-8). What is the third derivative of 3*g**2 + j*g**4 - 34*g**o - 30*g**4 wrt g?
-336*g
Let k(c) = -8*c - 19. Let p be k(-3). Let y(u) be the first derivative of -7 + 15*u**2 - 136*u + 109*u - p - 10. What is the first derivative of y(s) wrt s?
30
Let g be ((-3)/4)/(12/(-1152)*3). What is the third derivative of -g*s + 18*s**4 - 122*s**4 + 25*s + 65*s - 2*s**2 wrt s?
-2496*s
Let b = -12 + -23. Let l = b + 39. Find the third derivative of -2*j**l - 20*j**2 + 73*j**3 - 73*j**3 wrt j.
-48*j
What is the second derivative of 73*q**3 - 19*q**2 + 2*q + 91 + 63 - 21 + 83*q**3 - 15*q wrt q?
936*q - 38
Let r = -3963 - -3967. Let t(o) be the first derivative of 0*o**3 + 13/5*o**5 - 4*o + 0*o**r + 0*o**2 - 10. Differentiate t(m) wrt m.
52*m**3
Let m(u) = -u**4 + u**2 + 4*u. Let w(y) = -245*y**4 - 4*y**3 - 2*y**2 + 150*y - 5. Let h(d) = -2*m(d) - w(d). What is the second derivative of h(g) wrt g?
2964*g**2 + 24*g
Differentiate -346 - 1193 + 193 - 128 - 1099 + 4553*d wrt d.
4553
Suppose 2593 = 10*q + 233. Find the second derivative of 16*y - q - 12*y**5 + 236 + 30*y wrt y.
-240*y**3
Let c(w) = 8767*w - 7831. Let z(n) = 8812*n - 7829. Let o(i) = 5*c(i) - 4*z(i). What is the derivative of o(j) wrt j?
8587
Suppose 2*d + 38 - 42 = 0. What is the third derivative of 49*l**6 + 120 - 49 - d*l**2 - 48 wrt l?
5880*l**3
Let s(r) be the first derivative of 41*r**6 - r**3/3 + 819*r**2 - 9156. Find the third derivative of s(z) wrt z.
14760*z**2
Suppose 19*i = -4*b + 14*i + 28, -2*b = i - 20. Find the second derivative of b + 0 + 40*l**4 - 15 - 2 + 5*l wrt l.
480*l**2
Let c(p) be the third derivative of -7*p**2 + 0*p**4 + 101/120*p**6 + 1/30*p**5 + 0*p + 0 - 2*p**3. Find the third derivative of c(j) wrt j.
606
Let x(o) = -o**3 + 8*o**2 + 2*o - 11. Let w be x(8). Suppose -w*n = -91 - 74. What is the third derivative of -49*c + 36*c**2 + 49*c - n*c**5 wrt c?
-1980*c**2
Suppose -110 = -4*n + 3*w, 5*w + 62 = -3*n + 5*n. What is the third derivative of 18*a**3 + 23*a**2 - n*a**3 - 37*a**3 - 3*a wrt a?
-270
Find the third derivative of 1065*a + 26*a**3 - 16*a**4 + 31*a**4 - 53*a**4 + 3*a**2 + 2 - 29*a**4 - a**2 wrt a.
-1608*a + 156
Let o be (-1)/(9/(-15) + (-631)/(-1060)). Suppose o = 5*n - 2*p, -2*n - 5*p = -3*n + 47. Differentiate -16 - 14 + 0 - n*f**4 + 4*f**4 wrt f.
-152*f**3
Let o be (-38)/(-20) + (-18)/(-180). What is the derivative of 72*p**2 - 45*p**2 + 22*p**2 + 102 + 49*p**o wrt p?
196*p
Let g(s) be the first derivative of 73 - 27*s**3 + s**2 - 9*s + 1/4*s**4. Find the second derivative of g(v) wrt v.
6*v - 162
Let l(c) = 2712*c**2 - 45*c - 5. Let n(j) = 1356*j**2 - 20*j - 2. Let v(o) = 2*l(o) - 5*n(o). What is the second derivative of v(s) wrt s?
-2712
What is the first derivative of -258*k**3 - 59*k**2 + 119*k**2 + 837 - 974*k**3 - 62*k**2 wrt k?
-3696*k**2 - 4*k
Suppose 22 + 4 = u - 2*s, 0 = 5*s - 20. Find the first derivative of -u*n**2 + 7*n**3 + 3*n**3 + 28 - 8*n**3 wrt n.
6*n**2 - 68*n
Let v(s) = 7985*s**3 - 54*s**2 + 6*s - 2. Let a(n) = 39914*n**3 - 271*n**2 + 32*n - 9. Let x(o) = -2*a(o) + 11*v(o). What is the third derivative of x(u) wrt u?
48042
Let i(z) be the third derivative of 0 + 23/6*z**3 - 11/30*z**7 + 6*z**2 - 5*z + 0*z**6 + 0*z**4 + 0*z**5. Differentiate i(b) wrt b.
-308*b**3
Let n be (-276)/(-1035)*75/10. Let z(w) be the second derivative of -23*w + 0*w**3 + 0 - 8*w**n - 19/15*w**6 + 0*w**5 + 0*w**4. Differentiate z(d) wrt d.
-152*d**3
Suppose -5*f = -2 - 8. Let h(o) be the first derivative of 7*o + 5 - 13 - 2 + 1 + 6*o**f. Differentiate h(z) wrt z.
12
What is the first derivative of -354*n - 302*n + 2947 + 3*n**4 + 3394 - 5*n**4 wrt n?
-8*n**3 - 656
Let g be -1*((-18)/6 + 1). What is the second derivative of 88*k**2 - g + 2 - 6*k + 38*k wrt k?
176
What is the first derivative of l**4 - 8644*l + 12928 + 23134*l - 11753*l wrt l?
4*l**3 + 2737
Suppose -21 = -8*u + u. Let g be (-40)/(-12) + u/(-9). Find the third derivative of 15*w**5 - g*w**5 + 15*w**2 + 2*w**2 wrt w.
720*w**2
What is the first derivative of 6767*y**4 + 3748 - 25211*y**4 + 6166 + 8815*y**4 wrt y?
-38516*y**3
Let u(n) = 414*n**3 - 15*n**2 - 57*n - 3. Let k(m) = -417*m**3 + 21*m**2 + 58*m + 4. Let y(i) = -3*k(i) - 4*u(i). What is the third derivative of y(d) wrt d?
-2430
Let p(g) = 1295*g**2 + 2*g - 2108. Let l(i) = 9064*i**2 + 15*i - 14755. Let o(y) = -2*l(y) + 15*p(y). What is the derivative of o(m) wrt m?
2594*m
Suppose 2*t = -t + 2*v + 3, 4*t - 21 = -3*v. Suppose t*k + 0 = 102. What is the third derivative of 18*f**4 + k*f**2 - 53*f**2 + 36*f**2 wrt f?
432*f
What is the first derivative of 3684 - 937*y - 107*y - 8*y - 212*y wrt y?
-1264
Let l(s) be the second derivative of 147*s**5/4 - 180*s**4 + 3657*s. What is the third derivative of l(k) wrt k?
4410
What is the second derivative of 80*m**4 + 1411*m**5 + 22*m**4 + 3703*m - 126*m**4 + 23*m**4 wrt m?
28220*m**3 - 12*m**2
Suppose -13 = -5*v + v - h, 4*h = -2*v - 4. What is the first derivative of -3623*b - v + 3623*b + 123*b**2 + 33 wrt b?
246*b
Let u(b) = -2237*b**3 + 7*b**2 - 7*b - 410. Let j(g) = -1119*g**3 + 4*g**2 - 4*g - 205. Let s(c) = -7*j(c) + 4*u(c). Differentiate s(k) wrt k.
-3345*k**2
Let n(d) be the second derivative of -247*d**7/42 - d**5/5 + 1193*d**3/3 - 1387*d. Find the second derivative of n(w) wrt w.
-4940*w**3 - 24*w
Differentiate 6434608*o**4 + 4*o**2 - 1121 - 147 - 6432887*o**4 with respect to o.
6884*o**3 + 8*o
Suppose 4*w = -5*m + 22, 0 = 3*m - 4*w - 0 + 6. Differentiate -12*h**m - 4679*h + 4679*h - 2*h**3 + 3 wrt h.
-6*h**2 - 24*h
Let a(t) be the first derivative of 0*t - 11/2*t**4 + 149 - 157/2*t**2 + 0*t**3 - 1/5*t**5. Find the second derivative of a(x) wrt x.
-12*x**2 - 132*x
Let t(a) be the second derivative of 27/4*a**5 + 43*a + 0 + 1/6*a**3 - 65/12*a**4 + 0*a**2. Find the third derivative of t(s) wrt s.
810
What is the derivative of 1245 + 290*v**3 - 965 + 2*v**2 - 1287 wrt v?
870*v**2 + 4*v
Suppose 2*u - 2*y + 2 = 0, 0 = -3*y + 5 + 4. Find the third derivative of 25*a**4 - a + 5*a**u + 4*a - 3*a - 8*a wrt a.
600*a
Let y(v) be the third derivative of v**7/35 - 23*v**6/6 + 1871*v**4/12 + v**2 + 266*v. Find the second derivative of y(g) wrt g.
72*g**2 - 2760*g
Suppose 3*t - 413 - 82 = 0. Let w be (8/(-3))/(1310/t + -8). Find the third derivative of 5*f - 14*f**2 + w*f**2 - 5*f - 23*f**6 wrt f.
-2760*f**3
What is the second derivative of 43*c + 618*c + 31 - 13 + 984*c**5 - 20 wrt c?
19680*c**3
Let t(u) = 6*u + 112. Let i be t(-18). Find the third derivative of -2*l**3 - 17*l**3 - 130*l**i + 122*l**2 - 135*l**4 + 260*l**4 wrt l.
-120*l - 114
Let b(l) be the second derivative of -1/12*l**4 + 36*l + 0*l**3 + 0*l**6 - 1 + 52*l**2 - 65/21*l**7 + 0*l**5. What is the third derivative of b(u) wrt u?
-7800*u**2
Suppose 3*k = k - r + 2, 0 = 4*k + 5*r + 2. Find the third derivative of 243*i**3 - 241*i**3 - 3*i**2 - 4*i**k + 56*i**6 wrt i.
6720*i**3 + 12
Let q(v) = 913*v**2 + 2247*v - 47. Let o(n) = 1827*n**2 + 4495*n - 79. Let f(u) = -3*o(u) + 5*q(u). What is the second derivative of f(m) wrt m?
-1832
Suppose 14 + 1 = -3*c. Let i = 429 + -423. Let s(o) = -10*o**2 + 6*o + 19. Let a(v) = -10*v**2 + 5*v + 18. Let j(b) = c*s(b) + i*a(b). Differentiate j(y) wrt y.
-20*y
Suppose 14*d - 141 = 951. What is the second derivative of -353*j**2 + d*j + 286*j**2 + 10*j + 72*j + 91*j wrt j?
-134
Differentiate 450*o - 5244 - o**2 + 2160 + 4702 wrt o.
-2*o + 450
Find the third derivative of -5100*n**4 - 228*n**4 - 2260*n**2 - 1234*n**2 - 3178*n**4 wrt n.
-204144*n
Let | {
"pile_set_name": "DM Mathematics"
} |
hich is the third biggest value? (a) -0.4 (b) -1/3 (c) j (d) t
a
Let l = 22474 + -22472. What is the fourth biggest value in -5, 0.3, l, 3.3, -0.4?
-0.4
Let j(h) = -379*h + 3814. Let g be j(12). Which is the smallest value? (a) g (b) 0.2 (c) 5
a
Let n = 147 - 152. Let x be 0 + ((-57)/9 - n). Which is the third biggest value? (a) x (b) 0.1 (c) -2/3 (d) -26
a
Let c = -86 + 86.053. Let m = -166.01 - -163. Let f = -3.11 - m. What is the second smallest value in -4, f, c?
f
Let f = 4.2655 + -1.2655. What is the fourth smallest value in 1, -2, f, 426, 0?
f
Let m(h) = h**3 - 11*h**2 - 39*h + 19. Let z be m(14). Let o be (3 - 5)*28 - 0. Let n = o + z. What is the biggest value in n, 2, -2/9?
n
Let s = 1872 - 1276. Let a = 596.3 - s. What is the third smallest value in a, 0.1, 0.02, 4/5?
a
Let f = 66 - 39. Let b = 183 - 210. Let k = f + b. What is the fourth biggest value in 0.5, k, -7, -5?
-7
Let h = 0.8 + 0.2. Let s = 88769 - 88772. What is the fourth biggest value in s, 1/2, 0.047, h?
s
Let w = -2126 - -2125.5. Let m be ((-532)/(-147))/(4/(-66)). Let s = m - -60. Which is the third smallest value? (a) s (b) w (c) -3/7 (d) 0.7
a
Let m = -2297/2796 - -50/699. Which is the second biggest value? (a) 0 (b) m (c) 1 (d) -2/7
a
Let a = 67 + 229. Let p = a + -341. Let d = 2 - 2.2. What is the third smallest value in 1/3, p, d?
1/3
Let f = -0.2 + 0.3. Let z = 3.6 - -166.4. Let n = z - 174. Which is the second smallest value? (a) -1 (b) f (c) n
a
Let q be (-3480)/232 + 33/2. What is the biggest value in q, 3, 2, -0.1, -5?
3
Let k = -1207 + 1204. Let g = 29 - 28.8. Which is the fourth smallest value? (a) -5 (b) -1/4 (c) g (d) k
c
Let x(q) = q**3 + 4*q**2 - 95*q - 495. Let z be x(-6). What is the smallest value in -0.7, z, -2, 6, -1?
-2
Let z = -0.031 - 10.469. Let y = z - -10. Let n = 5319 + -5319.3. Which is the third smallest value? (a) y (b) 4 (c) 0.1 (d) n
c
Let k be (2 + (-60)/32)/(2/(-4)). Suppose 58 - 170 = 14*h. Let o be (7 - 11)*(0 - (-10)/h). Which is the biggest value? (a) k (b) 2/17 (c) o (d) 2/13
c
Let p be (2 + 35/(-16))*(-22)/(-132)*4. Which is the second biggest value? (a) 0.2 (b) 4/9 (c) 0.042 (d) p (e) 1
b
Let i = -3.2 - -0.2. Suppose 3*m - 18 = -3*f, 7*m - 16 = -3*f + 6*m. What is the second smallest value in -4, 0.2, f, i?
i
Let n = 11.11 - 0.11. Let t be (-2)/(-2) + (-4)/5. Let z = 0.15713 + 4.84287. What is the fourth biggest value in z, t, n, -4?
-4
Suppose -8*j - 9*j - 2278 = 0. Let h = j + 1204/9. What is the smallest value in 2/3, -4/3, h?
-4/3
Let k be (0 + 1)*(-2)/(-9). Let n = 10410.1 - 10410. Which is the fourth smallest value? (a) k (b) 5 (c) -2/9 (d) n
b
Let r = -148.8 + 149. Which is the third biggest value? (a) -2 (b) -2/3 (c) 0.03 (d) r
b
Let b = 138.8 + -138. Let v = 1 - b. Let k = 2.9 + -3. What is the second biggest value in 0, v, k?
0
Let g = 12072 - 156930/13. Which is the fourth biggest value? (a) -4 (b) 0.4 (c) -2 (d) g (e) 0
c
Let i be 6 + (-979)/110 - (-50)/20. What is the fourth biggest value in 14, i, 1/4, 4?
i
Let j = 0.7 - -2.3. Let v be (-1268)/(-84) - (-18)/(-189). Suppose -30*u - v = -33*u. What is the biggest value in 0.3, j, u, 2/7?
u
Let t = 2/57 - 7/19. Let o = -11 - -11.14. Let x = -2.86 - o. What is the biggest value in x, -1, t?
t
Let l = 34 - 28. Let d = 8 - l. Let q = -97/4 - -24. What is the biggest value in q, d, 2/3?
d
Let u = -42.893 - -45.893. Which is the biggest value? (a) 8/3 (b) 13 (c) 2/13 (d) 1/3 (e) u
b
Let x = 20 + 19. Let l = 25 - x. Let u be ((-9)/(-18))/(l/(-16) + -1). Which is the biggest value? (a) u (b) 0 (c) -2/13
b
Let u = 6041 + -6040. Which is the biggest value? (a) 36 (b) u (c) -5
a
Let p = -0.07606 - -0.57606. Which is the biggest value? (a) -16 (b) 3 (c) p
b
Let m = -2 + 3. Let v = -1.4 + m. Let u(r) = r**3 - 22*r**2 + 87*r - 57. Let n be u(4). Which is the biggest value? (a) 2 (b) n (c) v
b
Let y = -8185 + 40924/5. Which is the second smallest value? (a) 37/3 (b) 2/7 (c) -0.6 (d) -3 (e) y
c
Let a = 3197 + -3187.988. Let j = -521.012 - -521. Let g = j + a. What is the second smallest value in 1/2, g, -1/4?
1/2
Let v = -1.84 + 0.59. Let w = 4.75 - v. Which is the fourth smallest value? (a) -1 (b) w (c) -2/7 (d) -0.3
b
Let d = -3660 + 3655. What is the fifth smallest value in 0, 1/2, -13, -3, d?
1/2
Let o(z) = 479*z + 4316. Let g be o(-9). What is the fourth biggest value in 62/7, -0.08, -4, -3/7, g?
-3/7
Let z be -1*1 - 2/(-4). Let q = -138.8 + -497.2. Let s = 634 + q. Which is the third biggest value? (a) -5 (b) s (c) z (d) 3
b
Let t = 86 + -51. Let m = t - 34. Let q = 1.3 + 3.7. What is the third biggest value in m, 0.1, q?
0.1
Let x = 511 - 512. What is the second smallest value in -16/5, 3, x, -11?
-16/5
Let q = -2388 - -2360.94. Let h = q + 27. Let t = -1.06 - h. Which is the third smallest value? (a) -0.4 (b) t (c) -2/11
c
Let x = 0.1 + 0.04. Suppose c + 4 = -f, 12*f - 15*f = -c - 4. What is the biggest value in x, 0.4, 3/2, c?
3/2
Let w = 0.0453 - -1.8247. Let f = 1.7 - 2.57. Let j = w + f. What is the third biggest value in 2, -1/10, 6, j?
j
Let a = 4468/4625 - 114/125. What is the biggest value in a, -1, -11?
a
Let p = -1.5934 - -0.1934. Which is the fifth smallest value? (a) 1/3 (b) p (c) 4 (d) 3/2 (e) 5
e
Suppose 3*z + 5*y = 319, -8*y + 420 = 4*z - 4*y. Which is the second smallest value? (a) z (b) 1/6 (c) -0.1
b
Let h = -1.45 - -8.15. Let s = 48.7 - h. Let b = -41.5 + s. What is the second biggest value in -5, b, -0.2?
-0.2
Let w be 1792/5984 + (-18)/153. Let s = -2.1 - -0.1. Let o = 2 + -5. Which is the third smallest value? (a) w (b) o (c) s (d) 4
a
Let p be (-14)/(-11 - -67)*(1 - -1). Which is the second smallest value? (a) -38 (b) p (c) 3/7
b
Let c = 144 + -141. Suppose -2*l + 13*j - 11*j = 8, 2*j = c*l + 16. Let y = 0.3 + -0.1. What is the third biggest value in -2, y, l?
l
Let i = 3.6515 - 1.6515. Let r = -0.21 - -0.01. Let m = r - -0.7. Which is the third smallest value? (a) m (b) 12 (c) i
b
Let q = 11 - 11.5. Let t = 4.5 - q. Let l = -0.82322 + -0.17678. Which is the biggest value? (a) 0.7 (b) l (c) -5 (d) t
d
Let x = -4910.5 - -4910. What is the second smallest value in -5, -3, x, 0.4, -2/3?
-3
Let s = 1119 + -576. Let x = 543.5 - s. Let m = 37/3 - 12. Which is the third biggest value? (a) 18 (b) m (c) x
b
Suppose 113*d = 116*d + 6. Let q be (d/(-3) - 0) + (-39 - -38). Let t be (-105)/33 + 2/11. What is the third smallest value in -1, q, 0.3, t?
q
Let b = -39.39 - -35.89. What is the second smallest value in -3, b, 6?
-3
Suppose -3*f + 7*f + 2761 = l, -3*f + 13874 = 5*l. Suppose 12*x = -251 - l. Let u be 2/11 - x/(-297). Which is the smallest value? (a) -3/8 (b) 12 (c) u
c
Let q = -386 - -389. Suppose 0 = 4*k - 3*v - 13, 2*v + 6 = q*k - 3. Let p = -5.6 - -6. What is the smallest value in p, -2/3, k, 4/3?
-2/3
Let a = -71 + 66. Let r = a - 3. Let y = 1008/8279 - 2/487. What is the second smallest value in y, 0, r?
0
Let l = -0.29 - -0.29. Suppose 2*s = 3*i + 3*s + 10, -5*s = -2*i + 16. Let p = -3.93 - 0.07. Which is the third smallest value? (a) 0.3 (b) p (c) i (d) l
d
Let i = 853 + -357. Let a = 495.89 - i. Let b = -79/705 - 1/47. What is the second biggest value in a, 1/2, b?
a
Suppose 5*m + 108 = 14*m. Suppose 2*y + y + m = 0. Let x = -58.1 + 58.4. What is the second smallest value in y, -2/19, 1/4, x?
-2/19
Let a = -22509 + 22509.4. What is the smallest value in a, -3, -5, 4/3, 2?
-5
Let j = -3432 + 3429. What is the second smallest value in -2/5, j, 0, -353, -1?
j
Let t = -75 + 81.2. Let o = -7 + t. Let f be 2394/(-589) - (-1 + (-87)/(-93)). What is the third smallest value in f, o, 0.1, -2/5?
-2/5
Let u = -2046/17 - -47092/391. What is the second biggest value in 0.23, 0, u, 0.17, -1/6?
0.17
Let g = 0.0734 - 2.0734. Which is the third smallest value? (a) -4 (b) -1/4 (c) -0.1 (d) g
b
Let n = -1 - -2. Suppose -1 = 2*u - v, 0 = 20*u - 15*u - 8*v - 14. What is the second smallest value in u, -5/2, n?
u
Let l be (-2054)/960 - (-14)/(-21)*-3. Let r be (-6)/20*(-2)/96. Let z = l + r. What is the third biggest value in 1/5, 0.3, -2/3, z?
z
Let u be ((-115)/(-230))/((-2)/12). Which is the third biggest value? (a) 0.5 (b) -0.1 (c) u ( | {
"pile_set_name": "DM Mathematics"
} |
522260610438
What is 4804940 - 37759445?
-32954505
What is -356130 plus 84784?
-271346
What is -9 plus -23831737312.9?
-23831737321.9
What is -0.12 take away -16121747750?
16121747749.88
What is -0.12872 less than -115699905?
-115699904.87128
What is 0.093832607831 plus 6?
6.093832607831
Calculate 2 - -4.10353402400505.
6.10353402400505
What is 1482295118 plus 177365?
1482472483
Work out -1687.4656 - 768982.
-770669.4656
Put together 1170034 and -1157.76647.
1168876.23353
Calculate 330 - -40594879.
40595209
Total of -104.735 and 91.097.
-13.638
What is 299523851 less than 461993?
-299061858
411 - 6991288284
-6991287873
What is -2644785264 - 279?
-2644785543
Total of 0.178943 and -9219.7.
-9219.521057
What is -2731.85363 minus 185009?
-187740.85363
Calculate 5.2938 + -116.05576635.
-110.76196635
421207608+0.39
421207608.39
Add 9 and -110.080780130819.
-101.080780130819
Sum 37005 and -3468364.
-3431359
Add 0.5 and -407.56297473.
-407.06297473
Add together 6 and 5010948278904.
5010948278910
What is 3958329673 + -0.013?
3958329672.987
Sum -239989783.32382 and -2.
-239989785.32382
What is -4754750508 take away -0.4?
-4754750507.6
Work out -92.75 + -3803818790.
-3803818882.75
What is -67.655984121 - 19?
-86.655984121
Subtract 0.04080256 from -4936603.
-4936603.04080256
26470486527 - -0.1
26470486527.1
What is the difference between -138860485 and 0.05?
138860485.05
Work out -84613441188 + 0.222.
-84613441187.778
What is the difference between -818.37069 and -45.61113?
772.75956
Work out 1592624974 - -0.10765.
1592624974.10765
What is the difference between -1.05233131016 and 9.2?
10.25233131016
What is 4.8 less than -37389539070?
-37389539074.8
Put together -2695511680436 and 0.06.
-2695511680435.94
What is the distance between -0.0835 and -40825321.5?
40825321.4165
Add -0.6 and -76193776.579.
-76193777.179
Add -255939 and -8353537.9.
-8609476.9
What is 0.1 take away -457.19500659676?
457.29500659676
-1789+-333934944424
-333934946213
What is the difference between -4 and -0.1017606339?
3.8982393661
Calculate 5390.9 - 1878.82817.
3512.07183
Subtract -23562717449 from -2145.
23562715304
What is 466 + 2291138.3684?
2291604.3684
-1.17 - -11734477518464
11734477518462.83
Total of -1 and -5811870.2509.
-5811871.2509
-66233644 + 24.01
-66233619.99
Calculate 8 + 24.827923722.
32.827923722
Work out -342381458423 - -84.
-342381458339
Put together 4.55026700586 and 1.
5.55026700586
What is the distance between -16278146931 and 193?
16278147124
What is -18.3 - -5838354264167?
5838354264148.7
What is 2.8704907 less than -21.11?
-23.9804907
Calculate -0.5 - 19620953931.
-19620953931.5
Work out -14296877571 - 1.7.
-14296877572.7
What is -13102.864965 take away 0.3?
-13103.164965
What is -20.3992897 less than -2025.132?
-2004.7327103
Total of 187 and 132.3877726.
319.3877726
Put together 2.20515209 and 267.677.
269.88215209
What is -20.1303483 take away 37146?
-37166.1303483
Sum -588060.26476 and 1.
-588059.26476
Put together 21734 and 0.0305012659.
21734.0305012659
Sum 4438836 and 139646.
4578482
0.00687 + -2468.156086
-2468.149216
Work out 579 + 221848540857.
221848541436
-0.5 + -0.005070698707
-0.505070698707
Total of 139971 and 1194482624.
1194622595
What is -5656949 - -1.808907?
-5656947.191093
-43.5009944913 + 0.66
-42.8409944913
Total of 952666541 and 67.12.
952666608.12
1278248.6+-0.3373
1278248.2627
What is -880958202 take away -0.285122?
-880958201.714878
What is -3 minus 43883500894?
-43883500897
What is -3.5 plus 8572503.811707?
8572500.311707
Add together -17 and 886282356350.
886282356333
Work out 2889431 - 31.037076.
2889399.962924
What is -0.6 + -0.21570945789?
-0.81570945789
Work out 37952372 - -7271.9.
37959643.9
Total of -0.08938 and 19348487.
19348486.91062
0.21 - -73716702804
73716702804.21
What is 528.334499891 take away 9?
519.334499891
What is 0.11 minus -2379826198088?
2379826198088.11
What is 27.9 take away 96729555499?
-96729555471.1
Work out -664889885635 + 338.
-664889885297
Work out -1058588837 - -972.
-1058587865
What is 2224215.1812 less than -1.3?
-2224216.4812
What is 153 + 95250.180408?
95403.180408
Add together -0.028 and -181933815952.
-181933815952.028
Put together -104.138 and 2504923.7.
2504819.562
What is 109453.530104 plus 4?
109457.530104
Subtract 0.28443 from 0.0399455547.
-0.2444844453
What is the distance between -4067889849 and -1.2211?
4067889847.7789
Subtract 1 from -4214470487268.
-4214470487269
Add -0.4 and -0.4252874502638.
-0.8252874502638
What is -0.000660948726 minus 4?
-4.000660948726
What is the distance between -1401752521 and 392.283?
1401752913.283
-0.0419+-891355481
-891355481.0419
Put together -1063 and -30459773.
-30460836
Add together 906237865 and 0.279348.
906237865.279348
-0.22358+8023041
8023040.77642
826990502 + 265
826990767
-2.71588151 - 563
-565.71588151
Add -245924 and 1.19938.
-245922.80062
0.4515618 - -7439.7
7440.1515618
Calculate -16 + 2085536336.
2085536320
What is the distance between 116984.6 and -149465.739?
266450.339
Work out -7377912 - 129.451382.
-7378041.451382
What is -0.5 plus 9404363199614?
9404363199613.5
556455664666689+0.4
556455664666689.4
7277885 - -424.8323
7278309.8323
Sum -43793595 and -61988.3.
-43855583.3
Subtract -1.380979 from 96738.9.
96740.280979
Add 2216.9845729 and 24.
2240.9845729
What is -5145244840 less than 2.4381?
5145244842.4381
-85.18557478316 - -0.5
-84.68557478316
Put together -0.7 and -7076948752525.
-7076948752525.7
What is the distance between 29 and -5464617572?
5464617601
0 - -99080.722494129
99080.722494129
What is 171.6 less than 43824994?
43824822.4
What is -87 plus 34906586319?
34906586232
What is -373.63064965206 minus -4?
-369.63064965206
0.02695+-1053262795
-1053262794.97305
Calculate -17156 - -3525217474.6.
3525200318.6
Total of 252553765 and -62.1.
252553702.9
What is 1141161746 plus -10?
1141161736
Total of 1.327 and -11128429858.
-11128429856.673
Calculate -261539.8 - 7498.
-269037.8
What is 87072337 - -286.7?
87072623.7
What is 0.56 + 15483.791931?
15484.351931
-1352100220 + -170.6
-1352100390.6
Sum -1901.9 and 37093395.
37091493.1
Put together 20333360214.75 and -0.2.
20333360214.55
Work out 0.2 + -8725.1913542049.
-8724.9913542049
What is 402491999 less than -393121?
-402885120
Put together -0.2 and -53.43457828067.
-53.63457828067
What is the distance between 0.22440388 and -57.753?
57.97740388
-32.028 + -37333916
-37333948.028
Add 9.9725708849 and -5.2.
4.7725708849
What is the difference between -11044273183370 and -1?
11044273183369
-5455 - -541048669
541043214
Subtract -334197266 from 28.93.
334197294.93
Put together -60380.2348900962 and 4.
-60376.2348900962
Work out 106 + -213007.9545.
-212901.9545
Work out -0.3 - 426.2802346.
-426.5802346
-62399150.941 + 0.22
-62399150.721
Calculate 7494109294.66 + -1.
7494109293.66
What is -283460 - 18944660?
-19228120
Calculate -0.2 + -166807559450538.
-166807559450538.2
Add together -2 and 4321968.9009.
4321966.9009
Add 24169 and -0.15801085.
24168.84198915
Put together -70817043 and 63.3085.
-70816979.6915
Put together -18792645 and -0.639.
-18792645.639
Subtract -61408984 from -1199.
61407785
What is the difference between -3 and -184.46353904613?
181.46353904613
-0.88671+-14791870
-14791870.88671
Calculate -162838150 - 62.999.
-162838212.999
What is the distance between 1.3508618704 and 0.3?
1.0508618704
Total of -2355582218 and 1.18.
-2355582216.82
What is -1.102 plus 4676648455?
4676648453.898
Work out 295771 + -0.0498589.
295770.9501411
Subtract -60 from 19825214.6565.
19825274.6565
Work out 1632 - 278424695.
-278423063
What is 2120264 - 3272584?
-1152320
Calculate -0.3 - 18088155411.
-18088155411.3
What is the difference between 12.253 and -3156038538?
3156038550.253
Put together -6612878572019.72 and 0.3.
-6612878572019.42
Calculate 8.394 - 15611942.
-15611933.606
Sum 0.164288176818 and 0.61.
0.774288176818
What is -5948456805 minus 1.1?
-5948456806.1
What is 2244.434294 take away -10454?
12698.434294
Add together -27211 and -59.8343.
-27270.8343
67310 + -23945527
-23878217
What is -0.103972 take away 256066?
-256066.103972
Add together 2123158674 and 370.
2123159044
What is -0.1901 take away 56294695?
-56294695.1901
0.1 + 10425792513
10425792513.1
-3110872014347 - 3
-311087201 | {
"pile_set_name": "DM Mathematics"
} |
st one hundred thousand.
-200000
Let r = -0.13 + 7.13. Let s = -8.75 + r. What is s rounded to 1 dp?
-1.8
Let u = -5240896 - -5240856.00027. Let t = u + 40. Round t to four decimal places.
0.0003
Let b = 78.5 - 65. Let k = b + -13.4843. What is k rounded to three dps?
0.016
Let f(h) = 14*h**2 - 4*h. Let x be f(-14). Suppose -2*j + j - x = 0. What is j rounded to the nearest one thousand?
-3000
Let o(h) = -h + 5400000. Let a(v) = -v**3 + 2*v**2 - 1. Let n be a(2). Let x = n - -1. Let t be o(x). Round t to the nearest one million.
5000000
Suppose -4*n = 5*y - 30, n - 19 = -2*y - 2*n. Let p(i) = 3*i**y + 900174 + 2799826 - 4*i**2. Let k be p(0). What is k rounded to the nearest one million?
4000000
Let v = -12859442651.99999941 - -12859442765. Let d = -113 + v. What is d rounded to 7 decimal places?
0.0000006
Let r = -209045 + 209036.000128. Let z = 9 + r. What is z rounded to 5 decimal places?
0.00013
Let d = 1 + -0.996. Let n = -54.004 + d. Let s = 50.7 + n. What is s rounded to zero dps?
-3
Let w = 16 - 16.11. Let y = -0.13 - -0.41. Let l = y - w. Round l to 1 dp.
0.4
Let u = 61994 + -114579. Let h = u + 52500.053. Let b = 85 + h. Round b to 2 decimal places.
0.05
Let p = 15 + -9. Suppose 2*n = -0*n. Suppose n = -4*d + p*d - 8600000. Round d to the nearest one million.
4000000
Let o = -0.2 - -7.2. Let z = -143109619.9999919 + 143109613. Let v = z + o. What is v rounded to 6 dps?
0.000008
Let x = 0.1 + -1.1. Let f = -0.51 - x. What is f rounded to 1 dp?
0.5
Let q = -68.00679 - -68. What is q rounded to three decimal places?
-0.007
Let l = 1.52 - 1.6. Let t = -0.0759 - l. What is t rounded to three dps?
0.004
Let v(c) = -48*c + 10. Let y be v(-10). What is y rounded to the nearest 100?
500
Let k = 25.1 - -3.9. Let z = k - 28.99956. Round z to four decimal places.
0.0004
Let i = 1691.000943 - 1691. Round i to 4 dps.
0.0009
Let i = -166.25 + -3.75. Let h = -30404945 + 30404774.99893. Let p = h - i. What is p rounded to four decimal places?
-0.0011
Let b = -5 - -2.11. What is b rounded to zero decimal places?
-3
Let j = 0 + 0. Let t = j + -4. Let n = t + 3.957. What is n rounded to two dps?
-0.04
Suppose p = -2*p + 102. Suppose 0 = i - 45 - p. Round i to the nearest ten.
80
Let h = -21.1 - 1.9. Let i = h + 22.9925. What is i rounded to 3 dps?
-0.008
Let k = 6.866248 - -0.023552. Let m = k + -6.9. Round m to 3 decimal places.
-0.01
Let l = 169 - 160.9. What is l rounded to the nearest integer?
8
Let i be ((-2)/(-4))/((-3)/(-42)). Let u = i + -4. Suppose -u*o = 2*o + 545. What is o rounded to the nearest ten?
-110
Let y = 5246482 + -3548481. Suppose -w + 3000005 = 3*p, 2*p - 2*w - 301989 = y. Round p to the nearest one million.
1000000
Let f be (6 - 5)/(2/4). Suppose f*t = -2*x + 74, 2*t = -0*x + x - 25. Let z be 0 - (7*x - 1). Round z to the nearest one hundred.
-200
Suppose -3*x + 59677 - 533677 = 0. Round x to the nearest ten thousand.
-160000
Let q = 12.4 + -2.2. Let x = q - 0.2. Let s = x - 10.0000092. Round s to 6 dps.
-0.000009
Let c = 35868 - 35867.601362. Let u = -0.10133 - c. Let v = 0.5 + u. Round v to 5 dps.
0.00003
Let g = 143364952.0999973 + -143364958. Let v = -5.9 - g. What is v rounded to six dps?
0.000003
Let m = -239.762 - -240. Let t = 173.818 - m. Let p = t + -172. Round p to one dp.
1.6
Let g be (-64)/(-6)*(0 - 45/(-2)). Round g to the nearest one hundred.
200
Let n = -18.2 - -30.1. Let u = n + -10.71. Let l = u - 1.1900158. Round l to six decimal places.
-0.000016
Let s(q) = 3*q**2 + 3 - 3 + 6*q + 417*q**3. Let f be s(-6). What is f rounded to the nearest 10000?
-90000
Let p = 30677 + -30675.99928. Let z = 1 - p. What is z rounded to four dps?
-0.0007
Let q = -2167 - -7847. Suppose -3*f + q = -7*f. What is f rounded to the nearest one hundred?
-1400
Let b = -9 + 8.7. Let v = 0.29896 + b. Round v to 4 decimal places.
-0.001
Let i = 0.025 - 9.225. What is i rounded to the nearest integer?
-9
Let y = 0.01 + -0.01. Let m = 5 - y. Let s = 5.00000064 - m. Round s to seven decimal places.
0.0000006
Let p = 30.5 - 39. Let q = p - -8.500067. Round q to five decimal places.
0.00007
Let i = -21 - -21.34. Let b = 0.049 + -7.209. Let x = b - i. Round x to the nearest integer.
-8
Let z = 1795 - 765. Round z to the nearest 100.
1000
Suppose -2*q - 280008 = 4*m, -25445 = m + q + 44559. Round m to the nearest 100000.
-100000
Let x = 12 - 38. Let p = 25.3914 + -0.1114. Let v = x + p. Round v to one dp.
-0.7
Let q = 10.59999949 + -10.6. Round q to 6 decimal places.
-0.000001
Let n = -0.1 - 0.04. Let f = 4.34 + n. Let a = f + -2.5. What is a rounded to zero dps?
2
Let c = -13.6 - -77.6. Let a = c - 63.999934. Round a to 5 decimal places.
0.00007
Suppose 5*s - 3*i = 21 + 10, 2*s + 3*i = 4. Suppose -s*a = -3*c + 5*c + 38999994, -31199985 = 4*a + 5*c. Round a to the nearest one million.
-8000000
Let f be (-3427100)/(-24) - 1/(-6). Suppose 0 = 2*g + 2*q - 22790 + f, 2*q = 3*g + 179994. What is g rounded to the nearest one hundred thousand?
-100000
Let b(c) = c**2 - 4*c - 8. Let a be b(6). Let m(l) = 65001*l**2 - 3*l - 4. Let i be m(a). What is i rounded to the nearest one hundred thousand?
1000000
Let h = 0.106 + -62.106. Let o = -18.867054 - -80.867112. Let q = o + h. What is q rounded to five dps?
0.00006
Let o = 13.72 - 14. Let n = o - -0.28000052. What is n rounded to 7 decimal places?
0.0000005
Let q = 74 - 74.000111. What is q rounded to five decimal places?
-0.00011
Let k = 40.02 - 0.02. Let d = 36.8 - k. What is d rounded to 0 decimal places?
-3
Let k = -92 - -91.999935. Round k to 4 dps.
-0.0001
Suppose -23 = 2*p - 59. What is p rounded to the nearest 10?
20
Suppose -4*i + 6*i = 3*x - 11488, 3*x - 4*i - 11486 = 0. Round x to the nearest one hundred.
3800
Let k = 0.462 - -46.938. What is k rounded to the nearest integer?
47
Let r be 43400006/14 + 6/(-14). Round r to the nearest one million.
3000000
Let t = 41978 - 64678. Round t to the nearest one thousand.
-23000
Let w = 51.59 - 51. Let m = -960847 + 960847.590023. Let t = w - m. What is t rounded to five dps?
-0.00002
Suppose -4*p - 20429 = 41971. Round p to the nearest one thousand.
-16000
Let z = 1.5909 + -1.6. What is z rounded to three dps?
-0.009
Let d(h) = -2*h - 6. Let p be d(-4). Let a(l) = 1 - p + 145112*l - 565113*l. Let n be a(-1). What is n rounded to the nearest 100000?
400000
Suppose 4*i + i = 15. Suppose 0 = q + 2*q + i. Let s be 3900 - (-4 - q - -3). What is s rounded to the nearest one thousand?
4000
Let g(q) be the first derivative of -23*q**2 - q + 1. Suppose -5*u = -5, 2*u = -2*w + 5*u - 1. Let v be g(w). What is v rounded to the nearest 10?
-50
Let u(k) = 132*k**3 - 4*k**2 - k. Let g be u(-4). Let a be g/(-1) + 4 + -2. Let i = -1410 + a. Round i to the nearest one thousand.
7000
Let l = 3 - 6. Let g = -3.0000002 - l. Round g to 6 dps.
0
Let p(w) = w**3 - w**2 - w - 100000. Let y = 16 - 27. Let o(j) = -j**3 - 10*j**2 + 12*j + 11. Let x be o(y). Let m be p(x). Round m to the nearest 100000.
-100000
Let s = -47832441.67214334 + 47832445. Let x = -0.32785606 + s. Let v = x - 3. What is v rounded to 6 dps?
0.000001
Let g(h) = -h**2 + 1380. Let s be g(0). Suppose m - s = 4*m. Round m to the nearest one hundred.
-500
Let b = -0.53 + 0.606. Round b to two dps.
0.08
Let m be 3/(-9) - (-1078)/(-6). Let f = -260 - m. What is f rounded to the nearest 100?
-100
Let p = 2 - 5. Let a be 1160003/(-4) + p/(-4). What is a rounded to the nearest 100000?
-300000
Let f = -135.9594 + 136. Round f to 2 decimal places.
0.04
Let a = 128.259972 + -128.2. Let h = a - 0.06. What is h rounded to five dps?
-0.00003
Let z be (-7)/28 + 259/(-4). What is z rounded to the nearest 10?
-70
Let c(z) = -3*z + 1. Let a be c(-5). Let n be (108/a)/((-3)/40). What is n rounded to the nearest 100?
-100
Let o = -0.05 - 0. Let z = -0.05000044 - o. Round z to seven dps.
-0.0000004
Let u = -0.5 - 0.5. Let l = u + 0.999922. What is l rounded to five dps?
-0.00008
Let h = -0.9 + -1.1. Let w = -1.99884 - h. Round w to 4 decimal places.
0.0012
Let z = 4.049 + -4. Let p = -0.048897 + z. What is p rounded to 5 dps?
0.0001
Let m = -2 - -3.6. Let s = m - 1.5999983. Round s to six dps.
0.000002
Let f = -37.9 - -23.2. Let k = 30.3 + f. Round k to the nearest integer.
16
Let c = -2.365 - -2.02. Round c to 2 dps.
-0.35
Let | {
"pile_set_name": "DM Mathematics"
} |
hat is the remainder when 2145410 is divided by 87?
77
Calculate the remainder when 1981 is divided by 108.
37
Calculate the remainder when 3443 is divided by 240.
83
What is the remainder when 4349 is divided by 98?
37
What is the remainder when 646597 is divided by 26941?
13
Calculate the remainder when 28245 is divided by 264.
261
What is the remainder when 10661 is divided by 817?
40
Calculate the remainder when 460986 is divided by 69.
66
Calculate the remainder when 1754 is divided by 799.
156
Calculate the remainder when 83381 is divided by 31.
22
What is the remainder when 20759 is divided by 10332?
95
What is the remainder when 358 is divided by 45?
43
Calculate the remainder when 51843 is divided by 25919.
5
Calculate the remainder when 14388 is divided by 24.
12
Calculate the remainder when 242 is divided by 31.
25
Calculate the remainder when 850232 is divided by 12146.
12
What is the remainder when 2420 is divided by 171?
26
What is the remainder when 14643 is divided by 33?
24
Calculate the remainder when 78809 is divided by 417.
413
Calculate the remainder when 671 is divided by 587.
84
What is the remainder when 11282 is divided by 5?
2
What is the remainder when 31066 is divided by 47?
46
Calculate the remainder when 6351 is divided by 59.
38
Calculate the remainder when 203893 is divided by 70.
53
What is the remainder when 13668 is divided by 95?
83
What is the remainder when 8881 is divided by 740?
1
What is the remainder when 974 is divided by 117?
38
Calculate the remainder when 4133 is divided by 1096.
845
What is the remainder when 16059 is divided by 11?
10
Calculate the remainder when 10737 is divided by 482.
133
Calculate the remainder when 17121 is divided by 16940.
181
What is the remainder when 1142 is divided by 7?
1
Calculate the remainder when 54355 is divided by 246.
235
What is the remainder when 23221 is divided by 230?
221
What is the remainder when 123434 is divided by 9?
8
Calculate the remainder when 19484 is divided by 6487.
23
Calculate the remainder when 7998 is divided by 86.
0
Calculate the remainder when 14402 is divided by 14378.
24
What is the remainder when 4247 is divided by 83?
14
Calculate the remainder when 12609 is divided by 4201.
6
What is the remainder when 14656 is divided by 533?
265
What is the remainder when 104756 is divided by 72?
68
What is the remainder when 194409 is divided by 119?
82
What is the remainder when 36633 is divided by 2564?
737
What is the remainder when 95448 is divided by 632?
16
What is the remainder when 2092 is divided by 1744?
348
What is the remainder when 38014 is divided by 352?
350
Calculate the remainder when 15516 is divided by 184.
60
What is the remainder when 9195 is divided by 858?
615
Calculate the remainder when 15710 is divided by 1963.
6
What is the remainder when 1508 is divided by 751?
6
Calculate the remainder when 2426139 is divided by 1780.
1779
Calculate the remainder when 136185 is divided by 388.
385
What is the remainder when 11210 is divided by 861?
17
What is the remainder when 16457 is divided by 1239?
350
Calculate the remainder when 2162 is divided by 809.
544
Calculate the remainder when 6053 is divided by 242.
3
Calculate the remainder when 684631 is divided by 136924.
11
What is the remainder when 38372 is divided by 17?
3
What is the remainder when 134470 is divided by 431?
429
What is the remainder when 1811 is divided by 913?
898
What is the remainder when 34140 is divided by 8?
4
Calculate the remainder when 15768 is divided by 88.
16
Calculate the remainder when 13375 is divided by 100.
75
What is the remainder when 38057 is divided by 97?
33
Calculate the remainder when 3940 is divided by 107.
88
What is the remainder when 41422 is divided by 3179?
95
Calculate the remainder when 23372 is divided by 33.
8
What is the remainder when 4275 is divided by 201?
54
Calculate the remainder when 44321 is divided by 554.
1
What is the remainder when 7237 is divided by 51?
46
What is the remainder when 20452 is divided by 330?
322
What is the remainder when 26695 is divided by 297?
262
What is the remainder when 8369 is divided by 1592?
409
Calculate the remainder when 4698 is divided by 426.
12
Calculate the remainder when 3033 is divided by 1007.
12
Calculate the remainder when 8980 is divided by 997.
7
What is the remainder when 120117 is divided by 24?
21
What is the remainder when 2066 is divided by 15?
11
What is the remainder when 6235 is divided by 253?
163
Calculate the remainder when 15642 is divided by 284.
22
What is the remainder when 117849 is divided by 58908?
33
Calculate the remainder when 173573 is divided by 57839.
56
Calculate the remainder when 8866 is divided by 1308.
1018
What is the remainder when 4959 is divided by 333?
297
Calculate the remainder when 21556 is divided by 98.
94
Calculate the remainder when 1805 is divided by 275.
155
What is the remainder when 631565 is divided by 72?
53
What is the remainder when 511605 is divided by 53?
49
Calculate the remainder when 114631 is divided by 92.
91
What is the remainder when 193222 is divided by 20?
2
What is the remainder when 3597 is divided by 1785?
27
Calculate the remainder when 1009 is divided by 298.
115
Calculate the remainder when 20739 is divided by 1308.
1119
Calculate the remainder when 35843 is divided by 87.
86
Calculate the remainder when 7144 is divided by 723.
637
Calculate the remainder when 7620 is divided by 949.
28
What is the remainder when 621785 is divided by 33?
32
Calculate the remainder when 214082 is divided by 139.
22
What is the remainder when 4914 is divided by 2280?
354
Calculate the remainder when 362111 is divided by 257.
255
Calculate the remainder when 14114 is divided by 5.
4
Calculate the remainder when 19417 is divided by 56.
41
Calculate the remainder when 17797 is divided by 635.
17
What is the remainder when 4797 is divided by 243?
180
Calculate the remainder when 1444 is divided by 65.
14
What is the remainder when 402924 is divided by 15?
9
Calculate the remainder when 1335576 is divided by 67.
65
Calculate the remainder when 134877 is divided by 24.
21
What is the remainder when 18211 is divided by 314?
313
What is the remainder when 245557 is divided by 70?
67
What is the remainder when 33926 is divided by 203?
25
Calculate the remainder when 203452 is divided by 22.
18
What is the remainder when 716397 is divided by 225?
222
Calculate the remainder when 332 is divided by 255.
77
Calculate the remainder when 7750 is divided by 430.
10
Calculate the remainder when 6117 is divided by 371.
181
What is the remainder when 52985 is divided by 186?
161
What is the remainder when 1393 is divided by 1110?
283
What is the remainder when 12984 is divided by 173?
9
Calculate the remainder when 3901 is divided by 969.
25
What is the remainder when 4473 is divided by 112?
105
Calculate the remainder when 51531 is divided by 51519.
12
Calculate the remainder when 5570 is divided by 136.
130
What is the remainder when 327513 is divided by 49?
46
Calculate the remainder when 10114 is divided by 5016.
82
Calculate the remainder when 2950 is divided by 157.
124
Calculate the remainder when 224396 is divided by 643.
632
What is the remainder when 4596 is divided by 203?
130
Calculate the remainder when 83967 is divided by 347.
340
What is the remainder when 3316 is divided by 53?
30
Calculate the remainder when 10556 is divided by 192.
188
Calculate the remainder when 1152799 is divided by 731.
12
What is the remainder when 351221 is divided by 23414?
11
Calculate the remainder when 26880 is divided by 1787.
75
Calculate the remainder when 6600 is divided by 1319.
5
Calculate the remainder when 69089 is divided by 47.
46
Calculate the remainder when 86402 is divided by 347.
346
Calculate the remainder when 24916 is divided by 134.
126
What is the remainder when 1574 is divided by 1486?
88
Calculate the remainder when 35037 is divided by 2167.
365
What is the remainder when 29310 is divided by 143?
138
Calculate the remainder when 17713 is divided by 197.
180
What is the remainder when 6152 is divided by 34?
32
What is the remainder when 2800 is divided by 2005?
795
What is the remainder when 1902 is divided by 99?
21
What is the | {
"pile_set_name": "DM Mathematics"
} |
be a(0). What is the first derivative of -u + 7 + 1 + m**4 wrt m?
4*m**3
Let g(r) = 10*r**2 - 5*r - 23. Let n(f) = 9*f**2 - 4*f - 22. Let j(k) = 4*g(k) - 5*n(k). Differentiate j(b) with respect to b.
-10*b
Find the third derivative of -5*q**4 + 7*q**2 - q**4 - 2*q**2 + 0*q**4 wrt q.
-144*q
Let g be (-8)/(-14)*(-21)/(-6). What is the derivative of -g + 5*i - 14*i + 2*i wrt i?
-7
Let y(f) = 14*f**5 + 2*f**4 + 2*f**3 - f - 2. Let b(o) = 14*o**5 + 3*o**4 + 3*o**3 - 3. Let v(i) = -2*b(i) + 3*y(i). Find the second derivative of v(j) wrt j.
280*j**3
What is the third derivative of -707*s**2 + 0*s**6 + 15*s**6 + 695*s**2 wrt s?
1800*s**3
Let g(h) be the first derivative of -h**3 + 4/5*h**5 + 0*h**4 + 0*h + 0*h**2 - 5. What is the third derivative of g(m) wrt m?
96*m
Let m(g) be the first derivative of -g**5/5 + 10*g**3/3 - 5. Let d(p) = -p**2. Let o(u) = 22*d(u) + 2*m(u). Find the third derivative of o(l) wrt l.
-48*l
Let m(x) be the second derivative of 5*x**3/6 - 3*x**2/2 + 4*x. Find the first derivative of m(c) wrt c.
5
Let z(g) = -11*g**2 + 46*g - 6. Let l(a) = -21*a**2 + 93*a - 13. Let i(d) = 6*l(d) - 13*z(d). Find the second derivative of i(y) wrt y.
34
Suppose 0*w + 3 = w. Find the second derivative of -3*g**3 + 4*g + 4*g**w - 6*g + 3*g wrt g.
6*g
Let t(h) be the first derivative of -3 - 5/3*h**3 - 1/2*h**2 + 0*h. What is the second derivative of t(a) wrt a?
-10
What is the third derivative of -12*w**2 - 3*w**2 + 9*w**5 - 22*w**5 wrt w?
-780*w**2
Let o(d) be the first derivative of -d**6/10 + 5*d**3/6 + 2*d + 7. Let c(u) be the first derivative of o(u). What is the second derivative of c(m) wrt m?
-36*m**2
Let j(q) = -q**2 + q + 1. Let g(r) = -3*r**2 + 4*r + 1. Let t(d) = -g(d) + j(d). Find the second derivative of t(m) wrt m.
4
Let o(c) be the first derivative of 9*c**5/5 - 7*c**2/2 - 1. Find the second derivative of o(z) wrt z.
108*z**2
Let z be 1/4 - (-244)/(-16). Let v be 4/10 - 69/z. Find the second derivative of f**v + f**3 - f - f**3 wrt f.
20*f**3
Let t(q) = 53*q**4 - 7*q**2 + 45*q. Let h(y) = 26*y**4 - 3*y**2 + 23*y. Let g(x) = 7*h(x) - 3*t(x). What is the second derivative of g(d) wrt d?
276*d**2
Let a(g) be the first derivative of g**3/2 + g**2/2 + g + 1. Let h(q) be the first derivative of a(q). Find the first derivative of h(k) wrt k.
3
Let t(r) be the second derivative of r**6/120 + r**4/12 - r**2/2 - 4*r. Let y(m) be the first derivative of t(m). What is the second derivative of y(b) wrt b?
6*b
Let h(n) = -n**3 + n**2 + n + 1. Let a(t) = -34*t**3 + 17*t + 17. Let f(j) = a(j) - 17*h(j). What is the third derivative of f(r) wrt r?
-102
Let k(l) = -2*l - l + l. Let z be k(-2). Find the first derivative of -4 + z + 3 + f**4 wrt f.
4*f**3
Let m = -299/6 + 50. Let f(n) be the second derivative of 0*n**2 + 0*n**5 + 0 - m*n**4 - 1/30*n**6 + 2*n + 0*n**3. What is the third derivative of f(s) wrt s?
-24*s
Let n = 8 + -4. Suppose 5 = n*f - l - 9, -f - 4*l + 12 = 0. Find the first derivative of -f + 8 - 2*s - s wrt s.
-3
Suppose 0 = -9*l + 13*l - 4. Let i(h) be the first derivative of 4/5*h**5 + 0*h**3 + 0*h**2 + h + 0*h**4 - l. Differentiate i(x) wrt x.
16*x**3
Let d be (-34)/(-2) + 1*-2. Suppose 3*a - 3 - d = -3*p, -4 = -p. Differentiate -a*t**3 + 3*t**3 + 1 + 2*t**3 wrt t.
9*t**2
Let m(p) be the first derivative of 0*p**3 + 0*p**5 + 5/6*p**6 + 0*p**4 + 0*p + 3 - p**2. What is the second derivative of m(d) wrt d?
100*d**3
Let p(k) be the third derivative of -k**9/252 - k**5/15 + 6*k**2. Find the third derivative of p(b) wrt b.
-240*b**3
Let y(g) = -1. Let k(b) = -6*b - 19. Let u(d) = k(d) + 4*y(d). Differentiate u(i) with respect to i.
-6
Let y(j) be the first derivative of 4*j**3/3 - 3*j**2/2 + 4. What is the second derivative of y(a) wrt a?
8
What is the second derivative of -9 - s - s**5 + 9 + 8*s**5 wrt s?
140*s**3
Let f(j) = 16*j**4 + 4*j**2 + 2. Let r(u) = -16*u**4 - 3*u**2 - 1. Let w(g) = -3*f(g) - 4*r(g). What is the derivative of w(l) wrt l?
64*l**3
Let i = 2 + 1. What is the first derivative of -u**4 - i*u**4 + 0*u**4 + 4 + 0*u**4 wrt u?
-16*u**3
Let s(z) be the first derivative of 12*z**5/5 + 31*z + 2. Differentiate s(y) with respect to y.
48*y**3
Let u(i) = -i**2 + 7*i - 12. Let l be u(4). Let x = -2 + 4. Find the second derivative of 2*j + l*j**2 - j**2 + 2*j**2 - 4*j**x wrt j.
-6
Suppose 2*z + z = 0. Let r(g) be the second derivative of 0*g**2 + g + z + 1/3*g**3 - 1/6*g**4. Find the second derivative of r(u) wrt u.
-4
Find the third derivative of -6*g**6 - 5*g**3 + 5*g**3 - 16*g**2 + 9*g**2 wrt g.
-720*g**3
Let m(x) be the second derivative of 7*x**4/12 - 2*x**3/3 - 4*x. What is the second derivative of m(o) wrt o?
14
Let r(y) = y**3 + 6*y**2 - 2*y - 9. Let i be r(-6). Find the second derivative of -o - o**i - o + 6*o - o**3 wrt o.
-12*o
Find the second derivative of 23*t**4 + 2 - 14*t - 2 + 14*t**4 wrt t.
444*t**2
Let u be (-40)/(-22) - (-2)/11. What is the second derivative of -2*f**2 - 3*f**5 + 3*f + 0*f**5 + 2*f**u wrt f?
-60*f**3
Let r(i) be the first derivative of -37*i**3/3 - 55*i**2/2 + 46. What is the second derivative of r(p) wrt p?
-74
Let x(k) be the second derivative of 0*k**2 + 0*k**6 + 0 + 0*k**5 + 7/12*k**4 + 0*k**3 - 4*k - 1/42*k**7. Find the third derivative of x(b) wrt b.
-60*b**2
Let d = 21 + -12. What is the derivative of 1 + d*k - 2 + 4 wrt k?
9
Suppose -3 = 3*d, -2 = 5*t - d - 23. Suppose -2 = -t*x + 10. Differentiate -4 - 4*h**4 + 3*h**2 + 3 - x*h**2 with respect to h.
-16*h**3
Let d(h) be the first derivative of -h**3 - 7*h - 4. Differentiate d(w) wrt w.
-6*w
Find the third derivative of -2 - 3*r**3 + 4*r**3 - 7*r**2 + 2 wrt r.
6
Let o = -27 - -55/2. Let d(y) be the second derivative of 1/6*y**4 - y + o*y**2 + 0*y**3 + 0. What is the derivative of d(m) wrt m?
4*m
Let w(l) = l**6 + 5*l**5 - l**2 + 5*l + 5. Let h(p) = p**6 + 6*p**5 + 6*p + 6. Let x(q) = 5*h(q) - 6*w(q). Find the third derivative of x(b) wrt b.
-120*b**3
Let c(q) = 4*q**4 - 3*q**3 + 3*q + 4. Let l(h) = 9*h**4 - 5*h**3 + 5*h + 7. Let b(z) = -5*c(z) + 3*l(z). What is the first derivative of b(g) wrt g?
28*g**3
Let f(s) be the first derivative of s**8/560 + s**5/120 - 2*s**3/3 - 1. Let h(w) be the third derivative of f(w). Find the second derivative of h(g) wrt g.
36*g**2
Let a(p) be the second derivative of 2*p**7/21 - 3*p**3/2 + 12*p. What is the second derivative of a(g) wrt g?
80*g**3
Let i(q) be the first derivative of -2*q**7/105 - 2*q**3/3 - q**2 + 2. Let m(t) be the second derivative of i(t). What is the first derivative of m(c) wrt c?
-16*c**3
Let c(o) be the second derivative of -o**6/5 + o**3 + 6*o. What is the second derivative of c(p) wrt p?
-72*p**2
Let c(d) = 47*d**4 + 2*d**3 - 2*d**2 - 2*d - 29. Let s(j) = j**4 - j**3 + j**2 + j - 1. Let n(k) = c(k) + 2*s(k). What is the derivative of n(p) wrt p?
196*p**3
Let d(i) = 3*i**2 + 18*i + 5. Let x(a) = -3*a**2 - 19*a - 6. Let k(n) = -6*d(n) - 5*x(n). What is the second derivative of k(w) wrt w?
-6
Let j be (-1)/(-3)*3 - -2. Find the first derivative of 0*n**3 - 3 + 0*n**j + n**4 + 4 wrt n.
4*n**3
Let a(s) = 24*s**4 + 18*s + 8. Let q(z) = -8*z**4 - 6*z - 3. Let j(n) = -3*a(n) - 8*q(n). Find the second derivative of j(o) wrt o.
-96*o**2
Let s = 0 + 3. Find the second derivative of 3*v**5 - 2*v**5 + 4*v**s - 4*v**3 + v wrt v.
20*v**3
Differentiate t**2 - 10*t**2 - 2 + 13 + 0*t**2 with respect to t.
-18*t
Let g(t) be the first derivative of -2 + 0*t - t**2 - 1/3*t**3. What is the second derivative of g(s) wrt s?
-2
Let u(j) = -3*j**2 - 38. Let w(s) = -s**2 - 13. Let d(x) = -6*u(x) + 17*w(x). Find the first derivative of d(n) wrt n.
2*n
Suppose -2*y + 5*t = 11, 0*y - 4*t = 2*y - 16. Find the third derivative of 7*r**6 - 3*r**6 + r**6 + 3*r**y + r**6 wrt r.
720*r**3
Let f(r) = r**2 - 5*r + 2. Suppose 2*p = 5*l, -p - 4*l = l - 15. Let m be f(p). What is the first derivative of m*h**4 - h**4 - 2 + 4 wrt h?
4*h**3
Let h(m) be the first derivative of 13*m**3/3 + 9*m + 13. Differentiate h(q) with respect to q.
26*q
Suppose 12 = 2*z - 0*z. Suppose -f - 25 = -z*f. Find the third derivative of 3*q**6 - 3*q**2 - f*q**6 + 2*q**2 wrt q.
-240*q**3
What is the second derivative of 69*w**2 - 31*w - 69*w**2 - 6*w**3 wrt w?
-36*w
Let f(w) = -w - 1. Let z be f(-3). Find the third derivative of -4*p* | {
"pile_set_name": "DM Mathematics"
} |
-2408*d**3
Find the second derivative of 2*j**3*p**2 - 43*j**3*p - 3*j**2*p**2 - 2*j**2*p - 7815*j*p**2 - p**2 + 46*p wrt p.
4*j**3 - 6*j**2 - 15630*j - 2
What is the derivative of 154*m**2 - 56*m - 76?
308*m - 56
What is the third derivative of -1330058*s**3 - 2*s**2 + 1432*s + 132 wrt s?
-7980348
What is the derivative of -205984*r - 112648?
-205984
Find the second derivative of -b**3*l**2 - 4411*b**3*l - 15509*l**2 - 13*l wrt l.
-2*b**3 - 31018
What is the third derivative of 1012988*d*x**4 - 10*d*x**2 + 47959*d - 2*x**4 wrt x?
24311712*d*x - 48*x
Find the second derivative of -9487*b**4 + 63*b**2 - 3524083*b.
-113844*b**2 + 126
Differentiate g*x*z**2 - 19*g*x - 86*g*z - 42*g - 70*x*z**2 - x - 2*z**2 - 2 wrt x.
g*z**2 - 19*g - 70*z**2 - 1
What is the third derivative of 16*g*n*q**3*r + 3*g*n*q**2*r**2 + 5246*g*q**2*r**2 + 2*g*q*r + 5*g*r**2 + 2757*n*q**3*r**2 wrt q?
96*g*n*r + 16542*n*r**2
What is the first derivative of 7431*k**4 + 16*k - 42137 wrt k?
29724*k**3 + 16
What is the second derivative of -3*l**2*n**2 - 8*l**2*n - 660*l**2 + 87*l*n**2 - l*n wrt n?
-6*l**2 + 174*l
Find the second derivative of 19716*z**5 + 9676*z.
394320*z**3
What is the derivative of c**3 - 314213*c**2 - 3707922?
3*c**2 - 628426*c
Differentiate 42558*d*r + 4*r + 3943 wrt d.
42558*r
Find the second derivative of -1002*b**5*m - 3*b**3*m**2 + 7*b*m**2 + 366*b*m - 2*b wrt b.
-20040*b**3*m - 18*b*m**2
What is the derivative of -2*j**3*x + 210*j**3 - 6*j*x - 8*j - 5142*x wrt j?
-6*j**2*x + 630*j**2 - 6*x - 8
Find the second derivative of 153869*v**3 - 395703*v wrt v.
923214*v
What is the third derivative of 1696029*a**4 + a**2 - 1895*a + 10 wrt a?
40704696*a
Find the second derivative of 2882814*s*u**4 - 21*s*u - s - 1802*u - 1 wrt u.
34593768*s*u**2
What is the derivative of -4556442*c**2 + 4508411 wrt c?
-9112884*c
What is the first derivative of -99*m**2 + 655*m - 2517 wrt m?
-198*m + 655
What is the third derivative of -39219*d**3*w**4 + 199*d**3*w - 3*d**2*w**6 - 119*d + 2*w**2 - 2 wrt w?
-941256*d**3*w - 360*d**2*w**3
What is the second derivative of o*t**2 + 20*o*t + 1367*o - 128029*t**2 - 3*t wrt t?
2*o - 256058
What is the derivative of 9*w**4 + 275*w**2 - 7*w + 614678 wrt w?
36*w**3 + 550*w - 7
What is the second derivative of d**2*l**2 + 5*d**2*l + 36351*d*l**2 + 2*l**2 + 138*l + 29 wrt l?
2*d**2 + 72702*d + 4
Find the third derivative of 124802*l*v**4 - 279*l*v**2 - 3*l*v + v**4 - 1 wrt v.
2995248*l*v + 24*v
What is the second derivative of 2*a**5 + 4*a**3 - 175*a**2 + 46963*a wrt a?
40*a**3 + 24*a - 350
What is the second derivative of 416*y**5 + 2*y**4 + 175*y**2 + 770915*y?
8320*y**3 + 24*y**2 + 350
What is the derivative of -d**2*l**3 + 452*d*l**3 - 6*d + 1513*l**3 - 22 wrt d?
-2*d*l**3 + 452*l**3 - 6
Find the second derivative of -19018*h**3 - h + 26360 wrt h.
-114108*h
What is the second derivative of 45724*c**3 - 516*c?
274344*c
What is the second derivative of -4*j**3*u + 79*j**3 + 8*j**2*u - j**2 - 11*j*u - 474*j + 1 wrt j?
-24*j*u + 474*j + 16*u - 2
What is the second derivative of 14227*c**2 + 3*c + 579?
28454
What is the derivative of -765447*c*o - 47*o + 8469 wrt c?
-765447*o
Find the second derivative of -345*j**4 - 46*j**3 - 151*j + 886.
-4140*j**2 - 276*j
What is the derivative of -238028*p**3 + 324968 wrt p?
-714084*p**2
What is the second derivative of 31909*q**2*t**2*z + q**2*t**2 + 704*q**2*t*z + q**2*z + 3*q**2 + 3*q*t - 3*q*z + 6*t**2*z wrt t?
63818*q**2*z + 2*q**2 + 12*z
Find the second derivative of -3131869*f**5 + f**4 + 5008503*f wrt f.
-62637380*f**3 + 12*f**2
Find the third derivative of 15*g**2*j**5 + 5079*g**2*j + 737*j**5 + 3*j**2 wrt j.
900*g**2*j**2 + 44220*j**2
What is the first derivative of -8*b**2*d + 4292*b**2*r + 215*b**2 + 6*d*r + 4*d + 23*r - 1 wrt r?
4292*b**2 + 6*d + 23
Find the third derivative of -1258*y**4 + 18*y**3 + 1773528*y**2.
-30192*y + 108
Find the second derivative of 10*g**3*q + 2*g**3*x + 13655*g**3 + g*q*x - 31446*x wrt g.
60*g*q + 12*g*x + 81930*g
Find the second derivative of -3413819*g**5*u**2 + 577359*g*u**2 - u**2 wrt g.
-68276380*g**3*u**2
What is the third derivative of -267*j**2*l**4 - 8*j**2 + 5*j*l**2 + j*l - 50*l**4 - 2*l**2 - 47*l wrt l?
-6408*j**2*l - 1200*l
What is the second derivative of -868395*j**2 + j + 124627 wrt j?
-1736790
What is the third derivative of -3239320*f*t**3 - 7*f*t**2 - 4*f*t + 9*f + 2*t**2 + 1268 wrt t?
-19435920*f
What is the third derivative of 146986*q**3 - 348*q**2 - 182*q?
881916
What is the derivative of 202328*u**3 - 242446?
606984*u**2
What is the second derivative of 71783*r**2 - 8230*r + 5?
143566
Find the first derivative of 944975*k**4 + 100624.
3779900*k**3
What is the third derivative of -367385*x**4 + 55828*x**2 + 2*x - 5 wrt x?
-8817240*x
Find the first derivative of -234*l**3*w + 128*l**3 - 4*l - 1752*w**2 + 250 wrt w.
-234*l**3 - 3504*w
What is the third derivative of -11*n*r**4*u + 267*n*r**2*u - 27*n*r**2 + 1230*r**5*u wrt r?
-264*n*r*u + 73800*r**2*u
Find the first derivative of -163022*l + 125549.
-163022
What is the first derivative of 5*h*z**2 - 12*h*z - 2*h - 7629*z**2 - z - 4 wrt h?
5*z**2 - 12*z - 2
Find the second derivative of -232*g**4 + 3*g**3 + 232*g**2 - 4*g - 61778 wrt g.
-2784*g**2 + 18*g + 464
Find the third derivative of -268*c**4*q**2 - 7*c**4 - 18*c**3*q - c**2*q + 2*q**2 - 22802*q + 1 wrt c.
-6432*c*q**2 - 168*c - 108*q
Find the first derivative of q**3*t + q**3 + q**2*x**2 - 2*q**2*x + 474*q*t*x - 6610*q*x**2 - 21*t*x**2 wrt t.
q**3 + 474*q*x - 21*x**2
What is the second derivative of 3*v**4 + 17112*v**3 + 2*v**2 + 487618*v wrt v?
36*v**2 + 102672*v + 4
What is the derivative of 1590233*w**2 + 2456991?
3180466*w
Differentiate -746155*q + 408437 wrt q.
-746155
Find the third derivative of 5*c**5 - 24413*c**4 - 256605*c**2 wrt c.
300*c**2 - 585912*c
Find the second derivative of -2*b**4 + 4621*b**3*q - b**2*q + 563*b - q - 1 wrt b.
-24*b**2 + 27726*b*q - 2*q
What is the first derivative of 5941062*w**2 - 5654253?
11882124*w
Find the first derivative of -606026*x**2 - 545817 wrt x.
-1212052*x
Find the first derivative of -338268*n**2 + 260492.
-676536*n
Differentiate 72*q**3 + 22*q - 118420 wrt q.
216*q**2 + 22
Find the first derivative of 2*r*s**4 - 642*r*s**2 - 46*r*w - r + 168*s*w**2 + 385*w**2 wrt s.
8*r*s**3 - 1284*r*s + 168*w**2
What is the second derivative of -j*q**2*z**2 + 428*j*q*z - j*z**2 + 28*j - 193012*q**2*z**2 - 2*q*z wrt q?
-2*j*z**2 - 386024*z**2
What is the third derivative of 30469*f**2*w**3 - 42236*f**2*w**2 wrt w?
182814*f**2
Differentiate 192*z**3 + 99*z + 63367.
576*z**2 + 99
What is the second derivative of 4245*x**2 - 101*x - 59 wrt x?
8490
Differentiate 6*x**3*y + 646*x**3 - 4330*x**2*y**2 - 8*x + 7 wrt y.
6*x**3 - 8660*x**2*y
Find the second derivative of -83*v**4 + 110*v**2 + 12013*v.
-996*v**2 + 220
Find the second derivative of 5*a*d**2*x**3 + a*d**2*x - 56*a*d**2 + 2*a*d*x**3 - 40*a*x**2 - 2*a - 9 wrt x.
30*a*d**2*x + 12*a*d*x - 80*a
What is the third derivative of -5146*h**4*p + 7*h**4 + 19*h**2 - 5*h*p + h + 6*p + 1 wrt h?
-123504*h*p + 168*h
What is the derivative of -100189*b*d + 4*b - 1781407*d wrt b?
-100189*d + 4
Find the first derivative of -18676*k**3 + k - 2536 wrt k.
-56028*k**2 + 1
What is the derivative of -72428*o**2 - 10186?
-144856*o
What is the third derivative of 13019*l**4 - 19901*l**2?
312456*l
What is the third derivative of -176*b**4*t**3 - 26*b**3*j*t + 6*b**2*j*t + 11*b*t**3 - 563*j wrt b?
-4224*b*t**3 - 156*j*t
Find the second derivative of 2*f**5*u - 3416*f**5 - 1082*f*u + 18*u wrt f.
40*f**3*u - 68320*f**3
Find the third derivative of 23810*j**6 + 283*j**2 - 4*j + 1.
2857200*j**3
Find the third derivative of -40*m**5 - 25925*m**4 + 363*m**2 - 21*m - 2 wrt m.
-2400*m**2 - 622200*m
What is the derivative of -188594*o + 111697?
-188594
Find the second derivative of 2*u*w**2 + u*w + u + 3*w**3 + 24866*w**2 - w - 16232 wrt w.
4*u + 18*w + 49732
Find the second derivative of 44*a**2*d*u + 947*a**2*u**2 + a**2*u + 8*a**2 + 9*a*d*u**2 + a*u**2 - 2*a*u - d wrt u.
1894*a**2 + 18*a*d + 2*a
Find the second derivative of -19589*l**4 - 9*l**3 + 10*l - 10308.
-235068*l**2 - 54*l
Differentiate 17*f*u**2 + 4*f*u + 14*f - 335966*u**2 wrt f.
17*u**2 + 4*u + 14
Find the second deriva | {
"pile_set_name": "DM Mathematics"
} |
digit of x?
1
Let c(y) = y + 59. Suppose 0 = -7*g + 12*g + 100. What is the tens digit of c(g)?
3
Suppose 34*s - 115866 = -7*s. What is the thousands digit of s?
2
What is the tens digit of (-3788)/(-5) - -11 - 2/(-5)?
6
Suppose f - 2*f = -n - 151, -n = f - 141. What is the tens digit of f?
4
Suppose 3*u + v = 6*u + 2, u + 6 = -5*v. What is the tens digit of (-37 - (-2 - u))*(-156)/48?
1
Suppose -4*q + 30*q - 56030 = 0. What is the hundreds digit of q?
1
Let o(r) = 4*r**2 + 41*r - 16. What is the hundreds digit of o(-16)?
3
Let w = -1290 + 3702. What is the tens digit of w?
1
Let f(g) = 5*g**3 + 9*g**2 + 3*g + 1. Let c(b) = 11*b**3 + 19*b**2 + 6*b + 3. Let j(h) = 4*c(h) - 9*f(h). Let x be j(-4). What is the tens digit of x*16/(-4)*3?
1
Let p = 5038 - 2357. What is the thousands digit of p?
2
Let i = -10 - -69. Let x = 104 - i. What is the units digit of x?
5
Suppose 2*o = -2*o + 2*w + 6, -2*w = -2*o + 2. What is the units digit of ((-6)/12)/(o*3/(-180))?
5
What is the tens digit of 5430/26 - 22/(-143)?
0
Let s(p) = 2*p - 5. Let t be (0 - -1)*(7 - 2). Let x(v) = v**2 - 3*v - 6. Let r be x(t). What is the units digit of s(r)?
3
Let h(u) = u**2 + 9*u + 15. Let w(d) = 3*d**3 + 3*d**2 - d - 2. Let x be w(-2). Let m be h(x). Let c = m + -21. What is the tens digit of c?
3
Let k be (-6)/(-2 - 17/(-9)). Suppose -4*y + k = -22. Let s = y - -2. What is the units digit of s?
1
Suppose -1105 = -5*p - 5*t, 1123 = -0*p + 5*p - t. Suppose 0 = -2*w - 2*w + p. What is the tens digit of w?
5
Let h = -216 - -138. Let o = h - -259. What is the units digit of o?
1
Let k(t) = 4*t**2 - t - 4*t**2 - 3*t**2 - 2 + 6*t**2. What is the units digit of k(-2)?
2
Suppose -24*z + 108*z = 278208. What is the units digit of z?
2
Let o(k) = 2*k**3 + 4*k**2 + 3*k. Let f be o(-2). What is the tens digit of (f/(-4))/(6/60)?
1
What is the units digit of (-660)/18*6/(-8)*8?
0
Let j(i) = i**3 - 4*i**2 + 2*i - 3. Let l(m) = -m + 7. Let y be l(3). Let f be j(y). Suppose -32 = z - f*z. What is the units digit of z?
8
Let n be (-16)/80 - 1958/10. What is the tens digit of (-4 + (-30)/(-8))*n?
4
Let v = 43 + -32. Suppose -8*u = -v*u + 303. What is the tens digit of u?
0
Let h(g) = 63*g - 179. What is the tens digit of h(11)?
1
What is the thousands digit of 1212 - 24/(-6) - 10/(-2)?
1
Let z = -225 + 651. What is the tens digit of z?
2
Suppose 0 = 5*z + 15, 4*q + z + 2*z = -21. What is the units digit of (27/12)/(q/(-24))?
8
Let w be (-2 + 3 + -227)/(-2). Let l = w + -64. Let k = l + -41. What is the units digit of k?
8
Let h(y) = -2*y**3 - 6*y - 2. What is the tens digit of h(-4)?
5
Let g = 8 - 4. Suppose 3*a = g*w - 24, 7 - 15 = 2*a. Suppose -3*v - 45 = -w*y, 5*y - 6*v - 67 = -5*v. What is the tens digit of y?
1
Let h(u) = 37*u - 35. What is the hundreds digit of h(5)?
1
Let c be ((-915)/(-4) + 1/4)/(-1). Let m = 326 + c. What is the units digit of m?
7
Suppose -5*v + 15 + 5 = 0. Suppose 253 = v*m + h, 5*h = -2*m - 24 + 155. What is the tens digit of m?
6
Let x(m) = 2*m**2 - 6*m + 3. Let b(g) = g**2 + 9*g + 11. Let c be b(-8). Let v be x(c). Suppose v = s, -1 = -4*l - 4*s + 75. What is the units digit of l?
6
Let v = -11 + 11. Let z(c) = -c**3 - c**2 + 6. Let q be z(v). Let d = 10 + q. What is the units digit of d?
6
Let h(n) = n**3 - 10*n**2 + n + 10. Let c be h(10). Suppose -s = -5*s + c. Suppose 10*z - 225 = s*z. What is the tens digit of z?
4
Let i(x) = x**3 - 2*x - 1. Let o be i(2). Let m(t) = 2*t**3 - 4*t**2 + 7*t - 8. What is the tens digit of m(o)?
3
Let s(k) = 3*k**3 - 2*k**2 - 22*k + 137. What is the hundreds digit of s(11)?
6
Suppose 10*k = 5261 + 2919. What is the tens digit of k?
1
Let c(v) = 8*v - 2. Let p be (-63)/14*(-2)/3. Suppose -p*x - 2*o = -10, -o - 8 = -x + 3*o. What is the units digit of c(x)?
0
Let p = -293 - -468. What is the units digit of p?
5
Let o be (0/6)/((-4)/4). Suppose 3*h + 9*h - 1248 = o. What is the units digit of h?
4
What is the tens digit of (-39)/3 - -12 - (-3464 + 0)?
6
Let k(j) = j**3 - 13*j**2 + 5*j - 16. Let c be k(13). Let t = 26 + c. What is the units digit of t?
5
Let h(z) = 26*z**3 + 7*z - 14. What is the units digit of h(2)?
8
Let q be 3 - (-2 + 1) - -10. Let j = 6 + q. What is the units digit of j?
0
Let n(s) = 3 - 2*s**3 - s**3 + 4*s**3 - 12*s**2 - s + 9. Let j be n(12). Suppose 3*w - u = 6*w - 11, j = -3*w + 4*u + 1. What is the units digit of w?
3
Let y = 17 + -23. What is the units digit of 4/y - (-460)/6?
6
Suppose 0 = -4*j - 114 - 158. Let l = 40 + j. What is the units digit of (-9)/(-2)*l/(-21)?
6
Suppose 5*c - 101 = -66. Let g(y) = -y**3 + 5*y**2 + 17*y - 4. What is the tens digit of g(c)?
1
Let l be (-4)/(-5) + 3/15. Suppose 2*g - 3 + l = 2*p, -p = 2*g - 8. Suppose -3*x + p = -43. What is the tens digit of x?
1
Let o = -14 - -11. What is the units digit of 2/(o + 354/117)?
8
Suppose -4*s = -4*c - 2*s + 1790, 12 = 4*s. What is the units digit of c?
9
Let i(p) = p**3 + 17*p**2 - 16*p - 20. Let a = 24 - 41. What is the tens digit of i(a)?
5
Let x(r) = r**3 + 8*r**2 - 10*r + 12. Let w be x(-9). Suppose -6*d + t + 28 = -2*d, 3*d + 4*t - w = 0. What is the units digit of d?
7
Let j(r) = -2*r**2 - 26*r - 18. Let b be j(-12). Let v be (-34)/(-10) - 8/20. Suppose -v*p = -b*p + 18. What is the units digit of p?
6
Let c be 100/26 + (-6)/(-39). What is the units digit of 257/7 + c/14?
7
Let j(m) = 112*m**2 + 2*m - 4. Let x be j(2). Let o = x + -216. What is the hundreds digit of o?
2
What is the units digit of (-90)/(3 - 46/15)?
0
Suppose 3 = -3*z, -2*z = -4*x + z + 23. Suppose 7 = 2*j + d + 2*d, 4*d - 12 = -4*j. Suppose x*q = j*q + 99. What is the units digit of q?
3
Let g = 3876 + -1322. What is the hundreds digit of g?
5
What is the thousands digit of (-2 + 3)/((-1)/(-1547))?
1
Let y(j) be the first derivative of -j**3/3 + 3*j**2 - 3*j + 3. Let g be y(6). Let t(x) = -12*x + 4. What is the tens digit of t(g)?
4
Let c(j) = 19*j**2 - 11*j - 57. Let t(w) = 9*w**2 - 5*w - 28. Let s(u) = -3*c(u) + 7*t(u). What is the units digit of s(7)?
5
Let b = -306 - -167. Let t = b + 309. What is the units digit of t?
0
Let f(s) = -7*s**3 - 3*s**2 - 5*s - 4. Let g be f(-4). Suppose 25*t - 29*t = -g. What is the tens digit of t?
0
Let j = 164 - -60. Suppose 7*c = 238 + j. What is the tens digit of c?
6
Let r(x) = 10*x - 29. What is the units digit of r(13)?
1
Let h(b) = 11*b**2 + b. Let g be h(2). Suppose -260 = -5*n - 5*z, -4*z + g = -n + 2*n. What is the units digit of n?
4
Suppose -5*c + 5*b - 25 = -0*c, 2*c + 8 = 3*b. Let z(h) = -11*h - 9. Let i(r) = 17*r + 14. Let f(o) = 5*i(o) + 8*z(o). What is the units digit of f(c)?
9
Let s = -483 - -903. Suppose 2*l - 4*l = -4*m - s, -3*m = 5*l - 1115. What is the hundreds digit of l?
2
Let r(s) = s**3 - 4*s**2 - 5*s + 1. Let p be r(7). Suppose 2*f - 413 = -p. Suppose -5*h = -120 - f. What is the units digit of h?
4
Let p(s) = -7*s**3 - s**2. Let l be 0*3/(-6) + -1. Let f be p(l). Suppose 76 = o + 5*t, 2*o = f*o - 3*t - 235. What is the units digit of o?
1
Let c be (-12 + 13)/((-1)/(-5)). Let p(k) = -k**3 + 6*k**2 - 4*k + 6. Let a be p(4). Suppose 67 = c*t + a. What is the units digit of t?
9
Let b be 0 - 6 - -9 - (1 + -1). Suppose -b*v + 288 - 24 = 3*t, -t + 88 = 4*v. What is the tens digit of t?
8
Let b be -1 + -1 - (11 + 1). What is the tens digit of 8/b + (-1020)/(-70)?
1
Suppose 4*d = 3*i + 6*d - 2329, 5*d = 5*i - 3840. What is the tens digit of i?
7
Suppose 14 - 11 = x. Suppose -4*c = -x*t + 592, -4*t + 2*t = 3*c - 389. What is the tens digit of t?
9
Let d = -60 - -63. Suppose -60 = -x + v, -d*x + v + 188 = -0*x. What is the units digit of x?
4
Let w be (-2)/(-6) + 35/21. Suppose h = 5*c + 310, -865 = -2*h - h + w*c. What is the hundreds digit of h?
2
Let n be (-22)/(-6) + (-4)/6. Suppose -5*p = 3*f - 4, 5*p - n = -f - 5. Suppose 0 = -0*t + f*t - 5*z - 104, 2*t - 64 = -2*z. What is the units digit of t?
3
Let i(d) = 95*d - 168. What is the hundreds digit of i(12)?
9
Let h(z) = 13*z**3 + 8*z**2 + z + 4. What is the hundreds digit of h(3)?
4
Suppose 0 = -2*j + 3*d + 2*d - 66, 0 = -2*j + 4*d - 68. Let a = -38 - j. Suppose 0 = 2*r + 2*o - a*o - 132, 3*r - 202 = -4*o. What is the tens digit of r?
6
Let l(r) = -r**2 - 2*r + 3. Let b be l(-3). Let h(i) = -i + 8 + 14*i**2 + 11 + b*i**3 - 2*i**3 + 3*i**3. What | {
"pile_set_name": "DM Mathematics"
} |
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