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= -26*d - 16. Let l(n) = k*r(n) - 3*s(n). Let f(p) = 2*p**2. Determine f(l(v)).
8*v**2
Let z(g) = -2*g**2. Let h be 12/(1/(-2) - -2). Let u(c) = h - 8 + 2*c + c. Give z(u(r)).
-18*r**2
Let s(r) = 5*r + r**2 - 2*r - 3*r. Let g = -1 + 3. Let w(z) = z**g + 4 - 4. Determine s(w(f)).
f**4
Suppose -4*t - 2*h = -6*t + 4, 10 = 5*t - 3*h. Let u(i) = 22 - 22 - t*i. Let n(v) = 2*v**2. Determine n(u(x)).
8*x**2
Let u(f) = f**2 - 153*f + 153*f. Let a(k) = -3*k. What is a(u(h))?
-3*h**2
Let z(b) = -3*b + 3*b + 2*b + 0*b. Let s(n) = 18*n. Give z(s(r)).
36*r
Let i(c) = -c. Let k(f) = 8*f - 2. Give k(i(w)).
-8*w - 2
Let r(x) = -3*x. Let h(a) = -12*a. Let j(z) = -2*h(z) + 9*r(z). Let s(m) = -3*m. What is j(s(w))?
9*w
Let q(w) = 23*w. Let r(i) = -8*i + 3. Give r(q(n)).
-184*n + 3
Let j(r) = -3*r. Let s(o) = -129*o + 37. What is j(s(p))?
387*p - 111
Let j(z) = -2*z. Let d(a) = -359*a**2. What is j(d(g))?
718*g**2
Let p(g) = 7*g. Let d(x) be the third derivative of -x**5/20 + 45*x**2. Give d(p(r)).
-147*r**2
Let f(o) = 3*o. Let w(k) be the third derivative of -1/24*k**4 + 0*k**3 + 0*k + 0 + k**2. What is f(w(l))?
-3*l
Let z(o) = -o. Let h(v) be the third derivative of -5/24*v**4 + 0*v**3 + 0 + 3*v**2 + 0*v. Determine z(h(t)).
5*t
Suppose -2*d - 4*l = d - 35, -2*d + 3*l - 5 = 0. Let y(q) = d*q + q + q - 3*q. Let n(s) = s. Give y(n(g)).
4*g
Suppose -c + 19 = -3*w, -2 = 4*w - c + 22. Let x(m) = 18*m. Let s(u) = 19*u. Let q(d) = w*x(d) + 4*s(d). Let b(l) = -l**2. Calculate b(q(z)).
-196*z**2
Let n(j) = 3125*j + 3. Let y(i) = -2*i**2. What is n(y(z))?
-6250*z**2 + 3
Let d(s) = -3*s. Let w be (4/(-10) - 0)/(30/(-25)). Let f(k) be the second derivative of 0*k**2 + 0 - 3*k - w*k**3. Determine d(f(p)).
6*p
Let t(c) = 4*c + 0*c - 4*c - c. Let n(k) = -5*k. Calculate t(n(q)).
5*q
Let c(w) = 4*w. Let u(r) = r**2 + 4*r. Let d(i) = 4*c(i) - 4*u(i). Let g(x) = 7*x**2. What is d(g(s))?
-196*s**4
Let j(q) = -3*q + 11. Let c(s) = -37*s. Calculate c(j(a)).
111*a - 407
Let a(q) be the third derivative of -q**4/12 + 13*q**2. Let j(r) = r. Calculate j(a(n)).
-2*n
Let g(x) = 4*x. Let a(n) = -n + 1. Let r(p) = -p**2 + 6*p - 6. Let c(o) = 6*a(o) + r(o). Give c(g(m)).
-16*m**2
Let u(o) = o - 4. Let y be u(6). Let z(s) = 7*s**2 - 6*s**y - 3*s**2. Let j(t) be the third derivative of t**5/20 + t**2. Determine j(z(c)).
12*c**4
Let t(u) = u**2 + u**2 - 3*u**2. Let g(n) be the third derivative of -n**5/120 - n**3/6 + 2*n**2. Let a(i) be the first derivative of g(i). Determine a(t(p)).
p**2
Let d(a) = 8*a**2. Let n(r) = 5*r - r - 2*r. Determine n(d(w)).
16*w**2
Let b(z) = z**3 - 2*z**2 + 2*z - 2. Let n be b(2). Let i be (5 - 4)/(n/8). Let p(v) = v + 6 - 2 - i. Let x(r) = 2*r**2. What is x(p(g))?
2*g**2
Let n(i) = i**2. Let a(k) = -1190*k. What is n(a(m))?
1416100*m**2
Let j(i) be the second derivative of i**4/12 + i. Let u(k) be the second derivative of -k**3/3 - 5*k - 1. Give j(u(w)).
4*w**2
Let z(b) be the third derivative of b**4/12 - b**2. Let n(l) = -l - 4. Let c be n(-7). Let u(d) = c*d - 2*d + 4*d - 4*d. Give z(u(w)).
2*w
Let g(h) = -650*h. Let y(r) = 4*r. Determine y(g(q)).
-2600*q
Let z(g) be the third derivative of g**5/120 + g**3/6 - g**2. Let p(j) be the first derivative of z(j). Let h(n) = -2*n. Calculate p(h(y)).
-2*y
Let m(s) = 3*s + 3. Let j be m(-2). Let n be -1*(6*1)/j. Let q(h) = 3*h**2 - 5*h**n + h**2. Let w(t) = -2*t**2. Give q(w(l)).
-4*l**4
Let y(k) = -6*k. Let w(s) = 1. Let i(c) = -14*c - 70. Let d(f) = i(f) + 70*w(f). Determine y(d(h)).
84*h
Let u(k) = -17*k**2 - 3. Let v(f) = 16 + 203*f**2 + 11*f + 19 - 11*f. Let l(m) = -35*u(m) - 3*v(m). Let a(h) = -2*h**2. What is l(a(c))?
-56*c**4
Let g(u) = 22*u**2 - 12*u - 12. Let v(b) = -9*b**2 + 5*b + 5. Let w(j) = 5*g(j) + 12*v(j). Let i(x) = 3 + 5*x - 3. Give i(w(z)).
10*z**2
Suppose 6 = 2*y - 0. Let k(d) = 4*d - y*d + 0*d. Let h(b) = -3*b + 6. Let o(v) = 2*v - 5. Let g(n) = 5*h(n) + 6*o(n). Calculate g(k(q)).
-3*q
Let u(b) = 22*b. Let w(h) = 28*h**2. Give u(w(f)).
616*f**2
Let k(r) = -44*r**2 + 77*r**2 - 52*r**2. Let j(m) = -m. Determine j(k(c)).
19*c**2
Let g(x) = 12*x**2. Let d(j) = -j**2. Let r(f) = -f**2. Suppose 5*c - 6 = 2*c. Let m(u) = c*d(u) - 3*r(u). Determine g(m(v)).
12*v**4
Let c(k) be the second derivative of 2*k**3/3 + 5*k. Let b(z) = 6*z. Let g(n) = 5*b(n) - 6*c(n). Let p(a) = 2*a**2. Calculate p(g(y)).
72*y**2
Let w(g) be the third derivative of -g**5/5 + g**3/2 - 16*g**2. Let k(h) = -2*h. Determine w(k(i)).
-48*i**2 + 3
Let a(g) = -5*g**2. Let t(v) = 477*v. Calculate t(a(f)).
-2385*f**2
Let v(i) = -3*i. Let q be 0/(1*(4 + -1)). Suppose 2*o - 2 = q, 4*t - 5*o = -0*o + 3. Let p(g) = 4*g + t*g - 2*g - 2*g. Calculate p(v(z)).
-6*z
Let m(w) = -w - w - 25 + 25. Let z(q) = 7*q**2. Give z(m(k)).
28*k**2
Suppose 0 = -3*g - 3*x - x + 13, -g + 2 = -x. Let v(q) = q - q - g*q. Let c(n) be the first derivative of -n**3/3 + 1. Calculate c(v(j)).
-9*j**2
Let t(q) = -2*q**2 - 5*q + 2*q + 3*q. Let y(b) be the third derivative of -b**4/24 + 4*b**2. Give t(y(n)).
-2*n**2
Let t(l) = -l**2. Let s(o) be the third derivative of 1/30*o**5 + 0*o + 0*o**4 + 0 + 0*o**3 - 2*o**2. What is s(t(a))?
2*a**4
Let a(r) = r**2. Let p be (-13)/(-2) - (-9)/(-6). Let k(s) = -6 + 6 - p*s. Calculate k(a(g)).
-5*g**2
Let k(r) = 3*r**2. Let n(i) = 40*i - 18. Let j(s) = 10*s - 4. Let h(c) = 9*j(c) - 2*n(c). Give k(h(w)).
300*w**2
Let w(d) = d. Let t(i) = 49 - 24 - 25 - 18*i**2. Give t(w(m)).
-18*m**2
Let a(x) = -x**2. Let w(l) = 8*l - 5. Let m(u) = 15*u - 9. Let k(j) = 5*m(j) - 9*w(j). Determine a(k(o)).
-9*o**2
Suppose -5*l - 2 = -4*z + 3*z, -4 = -3*l - 2*z. Let d(t) be the first derivative of l*t - 1/2*t**2 + 1. Let y(a) = 2*a**2. Calculate y(d(o)).
2*o**2
Let j(g) = 2*g. Let x(b) be the third derivative of 23*b**4/24 - 29*b**2. Give x(j(l)).
46*l
Let g(u) be the second derivative of u**3/3 + u. Let p(o) be the third derivative of 0 + 0*o + 0*o**3 - 1/30*o**5 + 0*o**4 - o**2. Give p(g(k)).
-8*k**2
Let u be (-3)/((-6)/4) + 2. Let c(h) = 4 - 2*h**2 - u. Let d(i) = i. Give d(c(f)).
-2*f**2
Let v(p) = -4*p. Let k(t) = 9*t - 11. Let z(y) = y - 3. Let x be z(6). Let h(j) = x + 2 + 1 - 5*j. Let c(b) = -11*h(b) - 6*k(b). Calculate v(c(f)).
-4*f
Let a(c) = -27*c**2 + 16*c**2 + 12*c**2. Let z(r) = -14*r. What is a(z(d))?
196*d**2
Let b(o) be the first derivative of -o**3/3 - 34. Let n(d) be the second derivative of -2*d**4/3 + d. What is n(b(s))?
-8*s**4
Let h(v) = 10*v**2 - 6*v - 6. Let i(n) = 11*n**2 - 5*n - 5. Let p(o) = 5*h(o) - 6*i(o). Let w(j) = 2*j**2. What is w(p(x))?
512*x**4
Let g(s) = -52*s**2. Let b(r) be the first derivative of -r**2/2 + 37. Calculate g(b(i)).
-52*i**2
Let v(d) = 6*d**2. Let k(f) = -4*f. Let j(s) = s**2 + 14*s + 17. Let p be j(-13). Let t(y) = 3*y. Let z(i) = p*k(i) + 5*t(i). What is v(z(m))?
6*m**2
Let q(l) = 5*l - 42. Let u(x) = -2*x. Determine u(q(r)).
-10*r + 84
Let h(g) = g. Let i(p) = p - 2*p + 6 - p**2 - 3 + 4*p. Let k(z) = -4*z**2 + 10*z + 10. Let x(y) = -20*i(y) + 6*k(y). Calculate x(h(f)).
-4*f**2
Let y(a) = 3*a**2 + 2*a + 218. Let h(o) = o**2. Determine y(h(f)).
3*f**4 + 2*f**2 + 218
Let u(p) be the second derivative of 0 + 0*p**2 - 5*p + 1/2*p**3. Let z(d) = -3*d. Calculate u(z(x)).
-9*x
Let q(f) = -2*f. Suppose x = -d - 2*d + 7, -7 = -3*x + 5*d. Let r(y) = -x*y**2 + 0*y**2 + 3*y**2. Determine q(r(t)).
2*t**2
Let v(a) = 17*a. Let u be v(1). Let h(y) = 17 + 2*y - u. Let l(r) = -r**2. Calculate h(l(q)).
-2*q**2
Let l(q) = 3*q**2. Let g(y) = 99*y. What is g(l(b))?
297*b**2
Let f(v) be the second derivative of -v**6/720 - 5*v**4/12 + 4*v. Let o(q) be the third derivative of f(q). Let k(g) = 6*g. Calculate k(o(w)).
-6*w
Suppose -1 = a - 8. Let b(p) = -a*p - 4*p + 15*p. Let l(v) = 2*v**2. Determine l(b(f)).
32*f**2
Let c(r) = r**2. Let z(d) = -44*d. Give c(z(t)).
1936*t**2
Let n(p) = 2*p**2. Let b(r) = 255*r**2 + 2*r + 2. Calculate b(n(s)).
1020*s**4 + 4*s**2 + 2
Let x(b) = b. Let g(l) = 517*l**2. Give x(g(c)).
517*c**2
Let l be 6 - (2/(-2) - 1). Let n be ((-8)/(-10))/(l/20). Let p(x) = 2*x**2 - x**2 - 3*x**2 - x**n. Let s(a) = a. Calculate p(s(t)).
-3*t**2
Let i(r) = 11*r. Let t(f) = 56*f. Let b(a) = 11*i(a) - 2*t(a). Let m(n) be the third derivative of -n**5/60 + n**2. Determine b(m(p)).
-9*p**2
Let m(j) = -j - 62. Let r( | {
"pile_set_name": "DM Mathematics"
} |
fy ((i**(-5/4)/i)**(27/5))**(-5/3) assuming i is positive.
i**(81/4)
Simplify (((j**(-30/7)/j)/j)/j)/(((j*j/j**0)/j)/j) assuming j is positive.
j**(-51/7)
Simplify (t**1)**(-44)/(t*t**(-2/5)/t)**(1/18) assuming t is positive.
t**(-1979/45)
Simplify (b**6*b**0*b)**(21/4) assuming b is positive.
b**(147/4)
Simplify r*r**(-8/11)*r**(-2/7) assuming r is positive.
r**(-1/77)
Simplify (h**(-3/5)*h*h)**23/(h/(h*h*h**2*h))**(-4/9) assuming h is positive.
h**(1369/45)
Simplify o*o**(-43)*o**14 assuming o is positive.
o**(-28)
Simplify t**(-1)/(t**(2/67)*t) assuming t is positive.
t**(-136/67)
Simplify (b*(b/(b*b**(-8)/b))/b*b**(-9)/b)**36 assuming b is positive.
b**(-36)
Simplify (c/c**3)**(-2/35) assuming c is positive.
c**(4/35)
Simplify ((y*(y/y**(1/2))/y*y)/y**(4/3))/(((y*y*y/(y/(y/(((((((y*(y**2*y)/y)/y)/y*y)/y)/y)/y*y)/y)*y)))/y)/(y*y**(-3/13))) assuming y is positive.
y**(-239/78)
Simplify (r**(-1)*r/(r/(r*r**(-3))))**(-26) assuming r is positive.
r**78
Simplify (i**(3/7)/(i*i*i**(-16)))**10 assuming i is positive.
i**(1010/7)
Simplify (u*u*u/(u/u**11))/(u*u**(-1/25)) assuming u is positive.
u**(301/25)
Simplify u**2/u*u**6*u*(u/u**(-1/2)*u)**(5/11) assuming u is positive.
u**(201/22)
Simplify m**(-4)/(m**(19/2)/m) assuming m is positive.
m**(-25/2)
Simplify (w/((w/(w/((w*(w*w**(-9)*w)/w)/w*w)))/w))/(w*(w/(w/w**0))/w) assuming w is positive.
w**9
Simplify (((f**(2/9)/f)/f)/f*(f**(2/7)*f)/f)**(2/51) assuming f is positive.
f**(-314/3213)
Simplify (y/(((y*y**(-1/2)/y)/y)/y*y))**38 assuming y is positive.
y**95
Simplify g**29*g/(g*g**(-4)/g) assuming g is positive.
g**34
Simplify (f/(f*f**(-2))*f**(1/11))/(f*f*f**(1/3))**(-21) assuming f is positive.
f**(562/11)
Simplify o**29*o**(11/6) assuming o is positive.
o**(185/6)
Simplify (x**(-7/3))**(-3/2) assuming x is positive.
x**(7/2)
Simplify (w**(-1)*w**(-3/2))/((w/(w*w**(-1/3)))/(w*w**(-2))) assuming w is positive.
w**(-23/6)
Simplify (y**4/(y/y**(2/7)))**40 assuming y is positive.
y**(920/7)
Simplify ((i*i/i**(-2/5)*i)**45)**(-3/5) assuming i is positive.
i**(-459/5)
Simplify (o/(o**(-34)/o))/o**14 assuming o is positive.
o**22
Simplify j**(-2/27)*j*j/((j/(j*j**(-16)))/j) assuming j is positive.
j**(-353/27)
Simplify z/(z/(z**(2/17)*z)*z*z)*(z/(z/(z*((z**(-4)/z)/z)/z)))/z assuming z is positive.
z**(-134/17)
Simplify j*j**(-13/2)*j*j/j**(-1/10) assuming j is positive.
j**(-17/5)
Simplify (r/(r*r*r**(1/8)*r*r)*r/(r/r**(-9)*r))**2 assuming r is positive.
r**(-105/4)
Simplify ((w**0)**14)**12 assuming w is positive.
1
Simplify (w**(-28/3)*w)/(w/(w/w**(2/27))) assuming w is positive.
w**(-227/27)
Simplify (s/s**12)/s*s**(-4)/s assuming s is positive.
s**(-17)
Simplify (a*a**(-2)*a)/a**(-3/2) assuming a is positive.
a**(3/2)
Simplify k**(-1/14)/(k**(1/25)/k) assuming k is positive.
k**(311/350)
Simplify (w**8/(w**6/w))**(2/35) assuming w is positive.
w**(6/35)
Simplify (k**(-3)*k**(-3))/(k**0*k)**(8/5) assuming k is positive.
k**(-38/5)
Simplify ((y/y**(-5))**(2/13))**(-8) assuming y is positive.
y**(-96/13)
Simplify y/(y*y**9*y)*y**(-8)*(y/((y*y**(2/5))/y*y))/(y*y*y**(-9/5)/y*y*y*y) assuming y is positive.
y**(-103/5)
Simplify o*o**(-9)*o**(4/11)*o**(2/5)*(o*o*o**1)/o assuming o is positive.
o**(-288/55)
Simplify ((r*r**0)/((r**(-1/2)/r*r)/r))**9 assuming r is positive.
r**(45/2)
Simplify (y/y**(-3/5))/(y**5/y*y)*y**(-2/13)/y**(-2) assuming y is positive.
y**(-101/65)
Simplify (q*q**4*q**3/q)/((q/(q/(q*(q*q**(-2))/q*q)))/(q*q**(-3))) assuming q is positive.
q**5
Simplify ((u*u**(-2/3)/u)**(12/13))**(-1/3) assuming u is positive.
u**(8/39)
Simplify (x/(x/(x**(-2/5)/x))*x)**(2/35)*x**(-2/3)*x**(-2/45)*x*x assuming x is positive.
x**(1994/1575)
Simplify (s*s**(-1/2))**(4/33) assuming s is positive.
s**(2/33)
Simplify ((z/z**(-13))/z)/(z**(-3/7)/z) assuming z is positive.
z**(101/7)
Simplify (b*(b*b*b**2)/b*b/((b/(b*b**(-3)*b))/b))**(-2/47) assuming b is positive.
b**(-8/47)
Simplify w/(w*w**(2/23))*w/(((w**(-4/5)*w)/w*w)/w)*(w/(w*w/(w/(w**0*w))))**(2/119) assuming w is positive.
w**(23213/13685)
Simplify ((q*q/q**6)/q**(-3/5))**(-14) assuming q is positive.
q**(238/5)
Simplify (i**4*i**(1/3))/((i*i/(i*i/(((i/(i/i**(-2/19)))/i)/i)*i))/(i/((i**3*i)/i))) assuming i is positive.
i**(310/57)
Simplify (s*(s/s**(-2/3))/s)**25/(s**(2/17)*s/(s*s/(s**(1/6)/s)*s)) assuming s is positive.
s**(1509/34)
Simplify (h*h*h**(-1/5)/h*h*h**(-2))**(-6/19) assuming h is positive.
h**(6/95)
Simplify f/(f/(((f*f/(f/f**(-2/35)))/f)/f))*f**(-4/7) assuming f is positive.
f**(-57/35)
Simplify n**16/(n**(-15)*n) assuming n is positive.
n**30
Simplify (r*r*r**(6/5))/((r/(r/(r/(r*r*r/r**12)*r)))/r) assuming r is positive.
r**(-34/5)
Simplify (a**(4/15))**(3/4) assuming a is positive.
a**(1/5)
Simplify o*o*o*o**(32/3)*o*o*o**(-13) assuming o is positive.
o**(8/3)
Simplify (v*v*v**(1/3)*v*v*v*v**(2/9))**(5/19) assuming v is positive.
v**(250/171)
Simplify (v**13*v**(-6)*v)**(4/17) assuming v is positive.
v**(32/17)
Simplify (h**4*h/(h**3/h)*h*h)**(-21) assuming h is positive.
h**(-105)
Simplify g**(-6/11)/g**11 assuming g is positive.
g**(-127/11)
Simplify f**(2/9)/(f*(f*f/f**15)/f*f) assuming f is positive.
f**(110/9)
Simplify (w**(-1/4)/w*w*w)**(-1/4)/(w**9/w**(-2/9)) assuming w is positive.
w**(-1355/144)
Simplify (y**(2/5))**(-15)*(y**(-1/4))**(-27/5) assuming y is positive.
y**(-93/20)
Simplify (z**(-1/5)*z**(2/13)*z)**(4/17) assuming z is positive.
z**(248/1105)
Simplify (((p*((p*p/(p**(2/7)*p*p))/p)/p)/p)**(-27/2))**(-10) assuming p is positive.
p**(-2160/7)
Simplify ((n**(-1/2))**(4/7))**(-34/3) assuming n is positive.
n**(68/21)
Simplify a*a**(2/9)*a**(-2/15) assuming a is positive.
a**(49/45)
Simplify (u*u/((u/(u*u**(-19)))/u))/u**24 assuming u is positive.
u**(-40)
Simplify ((y/y**(-4/5))/(y/(((y**7*y)/y)/y)))/(y**(-3)*y**4) assuming y is positive.
y**(29/5)
Simplify ((s*s**(2/3)*s)/s)**(-28/5) assuming s is positive.
s**(-28/3)
Simplify (q*q/(q**(-3/8)/q))**29 assuming q is positive.
q**(783/8)
Simplify ((m*m/m**(-2/3))**(1/31))**(-7/6) assuming m is positive.
m**(-28/279)
Simplify (h/((h*(h/h**(-10))/h)/h*h)*h**8)**(-37) assuming h is positive.
h**74
Simplify (u**(-1))**(-35/2)/(u**(1/7)/(u/u**(-1))) assuming u is positive.
u**(271/14)
Simplify (m/m**3*m*m*m**(-1/3)/m)**7 assuming m is positive.
m**(-28/3)
Simplify i*i**(-13/6)*i**19 assuming i is positive.
i**(107/6)
Simplify ((c**0)**(-1/19))**13 assuming c is positive.
1
Simplify ((c*c**(1/3)/c)**(-1/3))**(-3/8) assuming c is positive.
c**(1/24)
Simplify w**(-5/2)*w*w**(-4/5)*w*w*w**(2/3)/w*w*w**1 assuming w is positive.
w**(41/30)
Simplify (f**(-8)*f)/(f*f**6*f) assuming f is positive.
f**(-15)
Simplify (((h/(h/((h*h**(-1)*h)/h*h)))/h*h)/(h*(h*(h*(h**(-6)*h)/h*h)/h)/h))**(-24/13) assuming h is positive.
h**(-120/13)
Simplify (v*v/(v/v**(-2/5)))**(2/35)*(v**(-1/4))**(5/3) assuming v is positive.
v**(-803/2100)
Simplify k/(k**(-4/15)/k)*k*k/(k**18*k) assuming k is positive.
k**(-221/15)
Simplify b/(b**(-3)/b)*b/b**(-42) assuming b is positive.
b**48
Simplify (n*n/((n*n**(1/4))/n*n)*n*n*n)**14*(n*n/(n*n*n**0*n))**31 assuming n is positive.
n**(43/2)
Simplify (p**(-1/24)*p**(-16))**5 assuming p is positive.
p**(-1925/24)
Simplify (r**(-2)*r)/(r/(r/(r*r/(r/(r*r/(r/(r**(-1/12)/r)))))*r))*r*r/r**(2/7)*r*(r*r/(r**(-5)*r)*r*r)/r*r assuming r is positive.
r**(823/84)
Simplify (((c**(1/5)*c)/c)/c**(-2/7))**(-15/2) assuming c is positive.
c**(-51/14)
Simplify (y**(2/31)/y)/y*y**(2/115) assuming y is positive.
y**(-6838/3565)
Simplify g**(-25)*g*g*(g/g**(-3)*g*g)/g assuming g is positive.
g**(-18)
Simplify v**(-8)/(v**0*v*v) assuming v is positive.
v**(-10)
Simplify n**(-1/3)/(n*n**(-19)) assuming n is positive.
n**(53/3)
Simplify (t**(-8))**(-6/11) assuming t is positive.
t**(48/11)
Simplify ((n/((n*n**3)/n))**(26/7))**4 assuming n is positive.
n**(-208/7)
Simplify (z**(2/13))**(-46) assuming z is positive.
z**(-92/13)
Simplify ((r/r**2)/r*r)**42/((r**(1/2)*r*r)/r**(-2/9)) assuming r is positive.
r**(-805/18)
Simplify (l**(2/27)/l)**(-44) assuming l is positive.
l**(1100/27)
Simplify (r**(-11)*r**11)**(-25) assuming r is positive.
1
Simplify (c*c*c*c**(1/3)*c*c*c)/(c*c**(1/15)/c) assuming c is positive.
c**(94/15)
Simplify (z*z/(z/(z**(-2/19)/z))*z*z)/((z*(z*(z/(((z*z**1)/z*z) | {
"pile_set_name": "DM Mathematics"
} |
*p + 0 = -z, -5*p = -25 for s.
4
Suppose -2*m - 1 + 4 = k, -4*m + 9 = 3*k. Solve -4*w + 2 = 2*h, -2 + m = 3*w + 5*h for w.
1
Suppose 0 = -3*o + 4*w - 3, 8*o - w = 3*o + 12. Solve -o*f = 4*r - 5*r - 1, f - 4*r = 15 for f.
-1
Let r(i) = 15*i - 4. Let q be r(6). Let l = q + -58. Suppose l - 8 = 4*c. Solve c*p - 2*y = -3, p = -y - 0*y + 5 for p.
1
Suppose -10*k = -f - 5*k + 19, -3*k - 29 = -5*f. Solve -5*u = -4*t - 0 - 5, t - f*u + 4 = 0 for t.
0
Let d = -74 - -99. Solve -5*u + 0*g + d = 5*g, -5*u + 4*g = 2 for u.
2
Let m(y) = 2*y**3 + 3*y**2 - 3*y + 4. Let g be m(-3). Let j be ((-4)/14)/(2/g). Solve 2*d - 2*x = 0, -j*d - 5*x = -d + 24 for d.
-4
Suppose 2*i = -4*u + 20, -3*i + 6 - 1 = u. Let f = 9 - i. Let s be 6 - ((1 - 1) + 2). Solve -3*z = 3*n + f, s*n = -3*z + 6*z - 5 for n.
-2
Let o(z) = 3*z**2 + 21*z + 3. Let k be o(-7). Solve 4*h + 0*h = 0, k*h = -4*p - 12 for p.
-3
Suppose 2*d = 3*d. Suppose d = -5*b + 3*b. Solve 4*c + b*y = 2*y + 20, -4*c - 5*y = 8 for c.
3
Suppose -3*i - 3*r + 5 = -13, 5*i - 5*r = 10. Solve 6*w - 2*g = w - 4, -w + i = -2*g for w.
-2
Let c = -17 - -18. Solve -u + c - 2 = -4*n, -u + n - 4 = 0 for u.
-5
Suppose -2*n = n - 6. Solve 0 = 3*m - 5*x + 27, -2*x + 5*x - 1 = -n*m for m.
-4
Let t be 13/2 + -4 + 35/14. Solve -s - y - 3*y = -12, 2*y = t*s + 6 for s.
0
Let k(i) = -7*i - 50. Let v be k(-9). Solve -18 = -4*p + 2*z, -3*p - z = -6*p + v for p.
4
Suppose 32 = 5*k + 4*l, 14 + 6 = 2*k + 4*l. Suppose 2*v + 3*j + 2*j - 17 = 0, -8 = 4*v - 4*j. Let a = k + v. Solve -3*u + y + 5 = -3, 0 = -a*u - 2*y + 6 for u.
2
Let d(j) = -j**3 - 2*j**2 - j - 2. Let l be d(-2). Solve -2*i - 2*m + 3 - 1 = l, 2*m = -i for i.
2
Suppose -3*z = -z - 8. Suppose -8 = -4*q - 4*l, l - 2 = -2*q + z. Solve -4*k = -q*s - 9*k + 20, s + k = 5 for s.
5
Let h be ((-2)/6)/((-5)/30). Suppose -3*x = -9, -5*a - 3*x = h*x - 45. Solve 0 = 3*v - s - 0*s - 9, 3*v = 2*s + a for v.
4
Suppose 3*p - 15 = 2*p - 4*a, -p + 23 = -4*a. Let i = p - 8. Solve -2*z + y + 4 = i, 12 = -2*z + 2*y for z.
-1
Let a be (-3 - 2/1)/(-1). Let n = a - 2. Let j(o) = o**2 + 13*o + 4. Let i be j(-13). Solve -i*y - w = -8*y, 0 = -n*y - w + 7 for y.
1
Suppose 4*o - 24 = -d, 0 = -4*d + o + 22 + 23. Solve 0*p - s = 2*p + 2, -4*p - d = -2*s for p.
-2
Let c(u) = 4*u + 0*u - 4*u - u + 11. Let w be (-61)/(-7) - (-4)/14. Let o be c(w). Solve 3*q = -2*h, 0 = 3*h + o*q - 0*q - 5 for h.
3
Let l = -18 - -20. Solve -2*k - 18 = 4*j, k = 2*j - l*k + 13 for j.
-5
Let o = -10 - -12. Solve -o*j = -4*k + 26, -2*j + 0*k = 2*k - 4 for j.
-3
Let i be -14 - (0/3)/(-3). Let d be 77/i + (-1)/2. Let l be 15/10*(-16)/d. Solve -4*a + a + b = l, 3*b = 3*a for a.
-2
Let g = 18 + -13. Suppose 0*l + 30 = 2*x + l, g*x = -4*l + 75. Solve 5*t - 2*k = -23, -4*t - 3*k + x = -5*t for t.
-3
Let c(f) = -f + 13. Let r be c(11). Let j(a) = 12*a - 1. Let g be j(r). Solve 5*u + 3*v = -20, 0 = -u - u + 5*v + g for u.
-1
Suppose 5*w = -5*h, 0 = -5*h - 4*w - 2 - 0. Let f = h + 6. Solve -11 = -2*m + 3*n, -m - f*n = m + 24 for m.
-2
Let k = 0 - -9. Let g be 4/(3*3/k). Solve y + g*n = -15, -5*y = n - 4*n - 40 for y.
5
Let t(w) = -5*w - 6. Let p be t(-2). Solve -16 = -3*s - 2*c, c - 3*c = -p for s.
4
Let p = -6 + 5. Let n = p - -5. Solve n*b - 9 - 11 = 0, -b + 5 = -3*k for k.
0
Let r be (-4 - (-4 + 3))/(-1). Suppose 0 = -h + 7 + r. Let g = -7 + h. Solve 20 = 5*p, -g*s + 3*p = 2*p + 16 for s.
-4
Let l(q) = -q**3 + 7*q**2 - 5*q - 2. Let b be l(6). Solve 2*a - 4*z = 5*a + 12, -b*a = -3*z - 9 for a.
0
Let m be -3*(-5)/6*44. Suppose -b + m = 4*b. Suppose 0*r - 2*v = -2*r + b, 0 = r + 5*v + 1. Solve 5*i - 20 = -4*c + 2*c, 3*c = 3*i + r for i.
2
Let v be 2/(-5) - (-84)/10. Suppose -4*c = -c - 15. Let u be (-1 - -2)/(1/c). Solve -i - 2*k = -0 - v, -k + 13 = u*i for i.
2
Let h = 1 - -4. Suppose h*y - 6 = 9. Solve -4*j = k - 19 - 4, -5*k = -y*j for j.
5
Let n(j) = j**3 - j**2 - j + 2. Let d be n(0). Solve d*l + 3*l + 10 = 5*k, -14 = 3*k + l for k.
-3
Suppose 3*x - 8 + 0 = 2*y, 0 = -5*x + 4*y + 12. Solve q = 0, 5*r + x*q + 6 = -4 for r.
-2
Suppose 4*x + 3*o = -12, -8 = -0*o + 2*o. Solve x = 2*z - 2*p, -2*z = -5*z - 4*p - 28 for z.
-4
Suppose 6*d - 15 = d. Let k be (2/5)/((-2)/60). Let o = k - -23. Solve 4 = 5*z + 3*f - 21, d*z + f = o for z.
2
Suppose y = -g + 3, 17 = -3*g + 8*g + 4*y. Let p be 15*(-2)/12*-2. Suppose -4*s + 4 = x, 2 = 2*s + p*x - 0. Solve -2*f - 2*t + s = 5, g*t + 2 = -f for f.
-2
Suppose z + 3 - 4 = 0. Solve -3*p + 5*f = 10, -4*p + 3*f - z = 5 for p.
0
Let f be (14/5)/((-4)/(-10)). Suppose -3*n = o + f + 2, -o - 6 = 2*n. Solve 5*i - 3*z = 0, -i = -o*i - 4*z for i.
0
Let j(q) = -6*q - 7. Let g be j(-2). Solve -3*r - 3 = g*v - 6, 3*v - r = 13 for v.
3
Let l = -5 - -3. Let n be 2*((-35)/l)/7. Solve a + 0 = -3*u - 10, n*a = 2*u - 16 for a.
-4
Let i = -11 - -13. Suppose -2*t + 56 = 2*t. Suppose x + s - 3 = 0, -2*x - 2*s = 3*s. Solve -5 - x = -4*n - 5*b, -2*b = -i*n + t for n.
5
Let n = -13 + 15. Solve -2*h + n*b = 3 - 9, 0 = 3*b + 6 for h.
1
Let u(o) be the third derivative of o**4/2 - o**3/6 - 3*o**2. Let w be u(1). Let q = -6 + w. Solve r - q*x = -7, 3*r = 6*r - 5*x + 1 for r.
3
Suppose -7*s = -2*s + 50. Let w be 1/(-5) - 42/s. Solve 4*m - 2 = -2*n, 0*n + 5*n + w*m + 1 = 0 for n.
-1
Let n = 13 - 13. Solve n = -2*b - 2*y + 6, 0*b + 2*b - 4*y - 12 = 0 for b.
4
Suppose 4*b - 1 = 7. Solve b*z + s = 3*z, -4*s = 8 for z.
-2
Let s be (1 + 0)/(1/6). Suppose -b - 5 = -4*a + 7, 4*b + 6 = 2*a. Suppose 0 = -b*d - d + 7. Solve -2*x - 5*j + s - 15 = 0, -j = -4*x - d for x.
-2
Suppose 2*l + 14 = 20. Let h be ((-4)/6)/((-8)/60). Solve -3*r - 12 = 5*n, 2*r + l*n - 12 = h*r for r.
-4
Let z = 3 + 12. Let u be (-6)/(1 + -3) + z. Solve 4*s = -2*l - u, -l + 0*l - 13 = 3*s for l.
-1
Let j(v) = 7*v**2. Let p be j(1). Suppose -y = d - p, -5*d - 19 = -5*y - 6*d. Solve 2*u = -2*w + 4*w + 6, -y*w = 4*u + 2 for u.
1
Let d be (2 + -5)*(-2)/3. Let g be ((-14)/28)/(1/(-54)). Solve -5*q = -4*a - g, -d*q - 5*a - 9 = -0 for q.
3
Suppose -4*d - 51 - 25 = 0. Let p = d - -34. Solve -3*f + p = 3*b, -4*f - 5*b + 0*b + 24 = 0 for f.
1
Suppose 8 = -4*u - 3*w, u + 4*w = 6*u - 21. Suppose 2*h = 4*l + 8, 4*h + 3 = -2*l - u. Solve -2*x = -4*b + x - 23, -4*b + 5*x - 25 = h for b.
-5
Suppose 0 = -x - 4*z - 3 - 13, 0 = 3*x + 5*z + 13. Solve 3*d + 7 = -x*q, -3*q + d = -0*q - 11 for q.
2
Let l(t) = 4*t**2 - 7*t + 6. Let r be l(1). Solve -3*d - 5*s = -18, 3*d + r = s + s for d.
1
Let g be ((-4)/(-3))/((-2)/(-6)). Suppose 6*s + s = 0. Solve -3*d - 3*k = -8*k - g, s = 3*d - k - 8 for d.
3
Suppose 0*j = -2*j - 2*h + 14, 0 = 2*j - 4*h + 10. Let n be 1 - 3*14/j. Let r = 18 + n. Solve -2*u = r*t + u, -2*u = 0 for t.
0
Let o be 593/(-7) - 2/7. Let w be 1/(-4) + o/(-20). Solve -21 = -w*h + 3*q, 5*h - 5*q = 7 + 23 for h.
3
Let c(t) = -t**2 + 3 + 3*t**2 - 3*t**2. Suppose -3*j - 9 = -5*n, -2 = 3*n + 5*j + 13. Let r be c(n). Solve 4*o - 2*o - 5*v + 21 = 0, 0 = o - v + r for o.
2
Let s(z) = z**3 - 4*z**2 - 4*z - 1. Let x be s(5). Solve 0 = -f + x*h - 20, 4*f - 2*h = 3*h - 36 for f.
-4
Let x = -4 - -32. Solve -4*n + 30 = -y + 8, -4*y + 4*n = x for y.
-2
Let q be 21/(-28) - (-23)/4. Suppose 0 = -5*r + 25, v - q*r + 17 = -5. Solve 2*y = -4*a - 6, a + v*y + 0 + 4 = 0 for a.
-1
Suppose 14*b = 17*b. Solve 5*t = 4*l - 12, b = t + 4*l - 13 + 1 for t.
0
Let k(h) = h + 7. Let b be k(-7). Suppose -2*x + 20 - 2 = b. Solve 3*n + u - x = 0, 10*n - 5*n + u - 17 = 0 for n.
4
Let a = 94 - 94. Let l be 11*(0/(-2) + 1). Solve 4*g - 4 = 0, -4*h + a*h = g + l for h.
-3
Suppose 5*r - 14*r + 108 = 0. Solve -3*u - r = -8*u - m, 0 = u - m - 6 for u.
3
Let i be (-10)/20*(1 + -1). Solve -g - 13 = 5*m, g - 5*m - 8 + 1 = i for g.
-3
Let m(l) = -l**3 + l**2 + l + 3. Let c be m(0). Solve 0*r + t = -2*r, -c*t = 4*r + 4 for r.
2
Let s(t) = 4 - 3 - 4 + 3*t + t**2 + 4. Let w be s(-4). Solve -3 = -4*o + w*h, 0 = -2*o - 0*o - 2*h - 12 for o.
-3
Suppose 2*t + 3*t = 3*t. Solve q + 2 - 4 = t, 2*c + 2 = q for c.
0
Let w(z) = -z**2 + 16*z - 12. Let c be w(15). Let f = 14 - 8. Suppose -s = 2*s - f. Solve a = -2*y - s, -a + 2*y - c*y + 1 = 0 for a.
4
Suppose 4 = -c - c. Let l(v) = -v + v**2 + 3*v - v + 1. Let m be l(c). Solve -4*i + 3 = -5*a, -3*i + 0*i = m*a - 9 for i.
2
Let j(n) = -n**2 - n**2 - 6 - n**2 + 2*n**2 + 6*n. Let q be j(4). Solve -2 | {
"pile_set_name": "DM Mathematics"
} |
th biggest value? (a) -0.4 (b) -4 (c) -0.1 (d) 2 (e) -124
b
What is the second smallest value in 4, 0.23, -5/7?
0.23
What is the biggest value in -0.1, 0.0707, -4/9?
0.0707
Which is the third biggest value? (a) -2 (b) -0.2 (c) 8 (d) 0.2 (e) 1
d
What is the second smallest value in -0.2, 1/5, 5, 2/5?
1/5
What is the smallest value in -2/23, 1, -28?
-28
What is the second smallest value in -7, 3, 0.3?
0.3
What is the fourth biggest value in 3/8, 4, 6, -1, 0.01?
0.01
What is the biggest value in 2, 0.5, -5, -48/11?
2
What is the third smallest value in -83, -0.2, -3/7, 1?
-0.2
What is the smallest value in 0.022, -1/6, 2?
-1/6
Which is the smallest value? (a) -10 (b) 4/3 (c) 4 (d) 3 (e) -5
a
What is the second biggest value in 0.09, 2/7, -2?
0.09
Which is the second smallest value? (a) -0.04 (b) -0.2 (c) -10 (d) 0.4 (e) 1
b
Which is the biggest value? (a) 0.4 (b) -3 (c) 3 (d) -17
c
What is the third smallest value in 0.2, 147, 3, -0.4?
3
What is the smallest value in -4/35, 4, 3, -3?
-3
Which is the second smallest value? (a) 4 (b) 1/185 (c) -1 (d) -2
c
What is the biggest value in -36.7, 3, -0.1?
3
Which is the second biggest value? (a) 1 (b) 0.3 (c) 11 (d) -3
a
What is the fifth biggest value in -1, 0.3, -1/9, 33, -0.4?
-1
What is the third biggest value in 0.1, -1/5, -51/7?
-51/7
Which is the third smallest value? (a) 5 (b) 1/4 (c) 96 (d) -1
a
What is the fourth smallest value in 2, 0.5, 39, -0.4?
39
What is the smallest value in -33/2, -0.3, -1, -2/11?
-33/2
Which is the smallest value? (a) 3/64 (b) -0.03 (c) -3
c
Which is the fourth smallest value? (a) -0.5 (b) 10 (c) 1/6 (d) -2/17 (e) 0.1
c
Which is the smallest value? (a) -1/4 (b) 4 (c) 0 (d) 1
a
Which is the second biggest value? (a) -36 (b) 3 (c) 209
b
What is the smallest value in 0.5, 0.1, 16, 15?
0.1
Which is the third smallest value? (a) 0.01 (b) 17 (c) -0.2 (d) 0.1 (e) -2
a
Which is the fourth smallest value? (a) 22 (b) -104 (c) -3 (d) 0 (e) 2/3
e
Which is the second smallest value? (a) -1.3 (b) 0.077 (c) 5
b
What is the third smallest value in 0.2, 0, 16, 0.5?
0.5
What is the second biggest value in -423, 2, 1.2?
1.2
What is the smallest value in 5, -3/8, -0.1, -0.5, 1/5?
-0.5
What is the fifth biggest value in -3, -1/3, 0.01, 3/7, 2/111?
-3
Which is the fifth smallest value? (a) -3/7 (b) 1/4 (c) -5 (d) -0.01 (e) 8
e
What is the fourth smallest value in 6/29, 4/7, 1.3, -2/7, 2/7?
4/7
Which is the third smallest value? (a) 2 (b) -2/121 (c) -0.1 (d) -1/5
b
What is the fourth smallest value in -0.5, 0.1, -2, 2/7, 0.3?
2/7
Which is the third biggest value? (a) -20 (b) -68 (c) 0.1
b
What is the fifth biggest value in 3, 0.3, -0.3, 52, 0.2?
-0.3
Which is the fourth biggest value? (a) -3 (b) -3/2 (c) 0.031 (d) -4
d
Which is the second smallest value? (a) -2/5 (b) 0.1 (c) 1.2 (d) 5
b
What is the third smallest value in -1, 1/4, -3, -5, -1/23?
-1
What is the third biggest value in 0, -2, 3/2, 0.5?
0
What is the smallest value in 1/9, -0.16, 6, -0.2?
-0.2
What is the second biggest value in 1, 1/6, 2/7, 0.1, 4?
1
Which is the third smallest value? (a) 2/9 (b) -1/6 (c) 12 (d) 1 (e) -0.07
a
What is the third smallest value in 1, 7, -1, 0.9?
1
What is the third biggest value in 0.02, 6, -1/5?
-1/5
What is the second smallest value in 7/4, -2, 1/5?
1/5
What is the second smallest value in -658, -2/9, -1/2?
-1/2
What is the smallest value in -1/5, -211, 1/4?
-211
What is the second biggest value in 1, 1/2, -12/17?
1/2
What is the third smallest value in -0.2, 0, 443?
443
What is the third smallest value in -0.1, -50, 1, 0.4?
0.4
Which is the fourth biggest value? (a) 0.1 (b) 0 (c) 6 (d) -5 (e) -2/103
e
Which is the biggest value? (a) 21 (b) 0.3 (c) 33
c
Which is the biggest value? (a) -7 (b) 3.21 (c) -2/3
b
Which is the smallest value? (a) -9 (b) 2 (c) -1/79 (d) -0.1
a
Which is the smallest value? (a) -5 (b) 2/11 (c) 4 (d) 3 (e) -5/3
a
What is the third biggest value in -648, -1, 1/7, -3?
-3
What is the fourth biggest value in 4, 0, -2/11, -0.5?
-0.5
What is the fourth smallest value in -0.6, 1, 3, 0.8?
3
Which is the second biggest value? (a) 3 (b) -638 (c) -0.3
c
Which is the third biggest value? (a) -0.072 (b) -5 (c) 197/3
b
What is the smallest value in -2/7, 3, -1/7, -7?
-7
What is the third biggest value in -0.5, 1, 2, -4?
-0.5
What is the third biggest value in 0.3, -7420, -5?
-7420
Which is the second smallest value? (a) -0.13 (b) -0.5 (c) 43
a
What is the smallest value in -2, 32, -1/4, -0.04, 5?
-2
What is the second biggest value in -3, -4290, -5, -2/3, 0.2?
-2/3
What is the fourth biggest value in 0, -4, 1.6, -0.1?
-4
What is the second biggest value in -2/3, 0, -0.2, 8/9, 0.07?
0.07
What is the second biggest value in -0.3, -5, -0.02698, -1?
-0.3
Which is the third biggest value? (a) 0.3 (b) 0.5 (c) -4 (d) 1/238
d
Which is the smallest value? (a) -2/15 (b) 5 (c) 0.5 (d) 11 (e) 0.2
a
Which is the fifth smallest value? (a) -1 (b) -35 (c) -0.1 (d) -2 (e) 3
e
Which is the fourth smallest value? (a) -4 (b) 4.6 (c) 2/15 (d) -3
b
Which is the third biggest value? (a) 0.2 (b) -9/26 (c) -3/2 (d) -4 (e) 0.3
b
Which is the third biggest value? (a) -21 (b) -336 (c) 2/13
b
Which is the biggest value? (a) -1/5 (b) -3 (c) 1/3 (d) 3
d
Which is the smallest value? (a) -0.2 (b) 2 (c) 1/3 (d) 1279
a
What is the smallest value in 22, -483, -1/3, -2/7?
-483
What is the fifth biggest value in -2/9, 0.3, 0.15, -0.88, 4?
-0.88
What is the third biggest value in -1/2, 1, 4, 2?
1
Which is the biggest value? (a) -17/4 (b) -0.2 (c) 2
c
What is the third biggest value in 1, 3, -2/5, 406, -3/5?
1
What is the second smallest value in 0, -3, 0.1?
0
Which is the second smallest value? (a) 2 (b) -0.4 (c) 93
a
What is the second biggest value in 2, 5, -1/9?
2
What is the third smallest value in -3/7, -200, -2/9, 1/4?
-2/9
What is the second biggest value in 1.2, 5.5, 0.6?
1.2
Which is the third biggest value? (a) -1 (b) -0.5 (c) 0.5 (d) 24
b
What is the third biggest value in -2/7, 0.1, 0.5, 0?
0
Which is the fifth smallest value? (a) -0.3 (b) -3 (c) -0.078 (d) -4/7 (e) 0.5
e
What is the second biggest value in 1, 2/9, 14?
1
What is the biggest value in 2, 129, 1/4, 0.5?
129
Which is the fourth smallest value? (a) -2/9 (b) -1/5 (c) 12/11 (d) -8 (e) -4
b
Which is the second biggest value? (a) -1/5 (b) 2 (c) -3 (d) -0.049
d
What is the second smallest value in 0.8, -4, -2, 1/21?
-2
Which is the second smallest value? (a) -0.34 (b) 3/2 (c) 1
c
What is the smallest value in 1, 4, -5, -3/14?
-5
What is the biggest value in -333, 0.2, -5?
0.2
What is the smallest value in -4/3, 0.9, 2, -1/28?
-4/3
Which is the biggest value? (a) 5 (b) 6/11 (c) -3 (d) -2/3
a
What is the third biggest value in 1/5, 1.7, 1/2?
1/5
Which is the smallest value? (a) 1/4 (b) -0.2 (c) 3 (d) -0.17
b
Which is the third biggest value? (a) 45/7 (b) -0.3 (c) -4
c
What is the biggest value in -105, -21, 1/5, -4, -1?
1/5
What is the second biggest value in 0.1, 2, 1.7, 0?
1.7
What is the third smallest value in 1, -2, -2/137, 3?
1
Which is the biggest value? (a) -5 (b) 4 (c) -157
b
What is the fourth smallest value in -0.3, 1/5, 5, 7/36?
5
Which is the biggest value? (a) -1/2 (b) 0.5 (c) 3/5
c
What is the smallest value in -0.2, 25, 1/10?
-0.2
What is the fourth biggest value in 2/5, 1/3, 2/15, -10?
-10
Which is the third biggest value? (a) 3 (b) -4 (c) 1/7
b
What is the biggest value in 4, 2/11, -3, 1/3?
4
What is the biggest value in -5, -2375, 2/15, -0.1?
2/15
Which is the third smallest value? (a) 10/7 (b) 2/11 (c) 0
a
What is the biggest value in 2/7, -1, -4, 3, -126?
3
What is the second smallest value in 0.15, -1/4, 0, 70?
0
What is the fourth biggest value in 5, -0.3, -3/7, 3?
-3/7
Which is the fourth biggest value? (a) -7/5 (b) -3/4 (c) -3/2 (d) -5
d
Which is the third biggest value? (a) -1/6 (b) 2/9 (c) -2 (d) 3/4
a
What is the third biggest value in -3, 0.5, -5/2, -0.41?
-5/2
What is the second smallest value in 3, -20, -2?
-2
Which is the smallest value? (a) 2/3 (b) -0.4 (c) -1/36
b
Which is the fourth biggest value? (a) 65 (b) | {
"pile_set_name": "DM Mathematics"
} |
5/72 + -1599/8. Find the common denominator of -18/11 and z.
99
Suppose -4*c - 5*l + 18 = 0, 2*l + 8 = c - 3. What is the least common multiple of c and 1?
7
Suppose -2*l - l = -27. Let a be 29/9 - 2/l. Suppose y + 16 + 5 = w, -y - 61 = -a*w. Calculate the lowest common multiple of w and 4.
20
Let v(o) = 12*o - 5 - 2 - o**2 + 2 - 3. Calculate the least common multiple of v(11) and 11.
33
Suppose 0 = 3*j - 19 - 26. Calculate the smallest common multiple of 3 and j.
15
Suppose -3*j = -11 + 2. What is the lowest common multiple of j and 6?
6
Let o = 21 - 14. Let z(a) = a**2 - a. Let i(k) = -8*k**2 + 2*k - 1. Let r(p) = -i(p) - z(p). Calculate the smallest common multiple of o and r(1).
7
Let j(p) = 3*p - 7. Let n = 4 - 4. Let x be (n + -1)*-5 - 0. Calculate the lowest common multiple of 16 and j(x).
16
Let i = 7 - 0. Calculate the smallest common multiple of 2 and i.
14
Let a be -3*12/9*-1. Suppose -a*i = -5*t - 127, -5*i = -3*t - i - 73. What is the common denominator of -44/3 and (-84)/t - 0 - -2?
9
Let a = -24 - -38. What is the least common multiple of a and 6?
42
Suppose 17 = 4*h + h - 2*k, -4*k = 2*h - 26. Suppose 5*p = -3*q - 1 + 70, -21 = -3*p + h*q. Let o = 2 + 8. Calculate the lowest common multiple of o and p.
60
Let l(m) = 14*m**2 + m + 1. Let n be l(-1). Calculate the common denominator of (-518)/(-24) + (-4)/12 and n/49 - 1978/(-84).
12
Let v = 224/3 - 3175/42. Calculate the common denominator of ((-2)/(-3))/((-24)/(-74)) and v.
126
Calculate the least common multiple of 4/(-26) - (-240)/39 and 3.
6
Let b be (12/(-15))/((-1)/10). Suppose 0 = -0*m + 4*m + b. Calculate the common denominator of 36 + ((-5)/m)/5 and -14/9.
18
Suppose 0*v - 4 = -v. Calculate the smallest common multiple of v and -4 + 1/1 - -5.
4
Let h = 72 + -45. Suppose 4*z = -m + h, 27 = 2*m + 3*z - 12. Let l = m + 3. What is the lowest common multiple of 14 and l?
126
Let x(g) = -g**3 - g**2 - g - 1. Let w be x(-2). Let o = -1766 - -14105/8. Calculate the common denominator of ((-3)/w)/((-4)/(-54)) and o.
40
Let d be (4 + -2 + 4137)/(-276). Let x = -17/69 - d. Find the common denominator of x and -21/20.
20
Let n(s) = s**2 + 8*s + 2. Let q be n(6). Suppose 3*c + 4*t = q, -c + 2*t - t + 17 = 0. What is the least common multiple of c and 8?
88
Let c be -10 + (1 - 1) - -1. Let u be 2 - (c/(-3) - -1). What is the common denominator of -49/2 and u - 3/((-120)/(-134))?
20
Let i = -5/182 + -13597/273. Let x = i - -55. Find the common denominator of (125/(-4))/5 - -3 and x.
12
Let u = 49/1761 + 33213437/28176. Let a = 1183 - u. Find the common denominator of -107/14 and a.
112
Let d(j) = -j**3 + 7*j**2 - 4*j - 8. Let t be d(6). Suppose -5*l = -t*c + 22, 2*c = 3*c + 4*l + 5. What is the lowest common multiple of 4 and 31/c - (-1)/(-3)?
20
Suppose 354 = -2*d + 5*i - 340, -4*d - 1370 = -i. Find the common denominator of d/48*5/(-6) and 99/16.
16
Suppose -3*o = 3*h + 198, 68 - 414 = 5*h - 3*o. Find the common denominator of -54/7 and (h/66)/((-6)/(-9)).
77
Let d = -175375/294 + -5324/49. Let q = -708 - d. Calculate the common denominator of 2/(-8) - 11*-2 and q.
12
Let h(s) = 2*s - 2. Let c be h(4). Let q(d) = 3*d**3 - 6*d**2 + 2*d + 4. Let r be q(c). Find the common denominator of (-2)/7 + 324/r and 41/6.
48
Let i(g) = 3*g**3 + 4*g**2 - 5*g - 2. Let v be ((-10)/(-8))/((-1)/4). Let n be i(v). What is the common denominator of 4/(-18) - 362/n and -39/2?
14
Let x(j) = -7 - 3*j + 1 + 4 + 1. What is the smallest common multiple of x(-5) and 12?
84
Let v = -16924/5211 - -105/193. What is the common denominator of -19/6 and v?
54
Let g = -2/55969 + -31454560/503721. Let v = -6290/99 - g. Find the common denominator of (-8 - -8) + 91/8 and v.
88
Let j be 40/(-6) + 5/(-15). Let d = 14 + j. Calculate the least common multiple of 6 and d.
42
What is the least common multiple of 7 and (-2 - -7)*(-18)/(-10)?
63
Let r = -930/11 - -947/22. Find the common denominator of r and 71/20.
20
Let a(n) = n + 1. Calculate the smallest common multiple of a(0) and 10.
10
Let p(j) = -13*j + 4. Let o be p(3). Suppose 49 = 4*z - 4*x + 1, 0 = z - 4*x - 18. Find the common denominator of (-309)/o - 4/z and -76/9.
63
Let i = 921/4 + -2539/12. Find the common denominator of i and 29/3.
3
Let m = -13 - -21. Let y(b) = b**2 - 3*b. What is the lowest common multiple of m and y(-3)?
72
Let m be (-1)/((-1)/(-37)) - -1. What is the common denominator of 7/13 and (-15)/16*(-264)/m?
104
Let q = 1/3383 - 307857/13532. Suppose -3*g + g + 18 = -4*m, -g + 5 = 0. What is the common denominator of m/(-4) + 96/44 and q?
44
Let u = 8437/332 - 55/83. Let v = -5 - -7. Calculate the common denominator of u and (98 + -1)*v/(-8).
4
Find the common denominator of -95/24 and (1 - 2)*(-301)/(-28).
24
Let b = -45 + 29. What is the common denominator of 5/8 and 106/b*(-6)/(-15)?
40
Let p = 34929/10 + -3498. Let n = 2536 + -30461/12. Find the common denominator of n and p.
60
Let f(b) = b + 2. Let g be f(-2). Let c be 1/(2 + -3)*g. Suppose -a + 4*l = -c*l - 5, 2*a = 2*l + 10. What is the smallest common multiple of 4 and a?
20
Suppose -3*j + 5*o = -16, 6*j + 5*o = 2*j - 2. Calculate the common denominator of 246/(-20)*(-3 + j) and 47/5.
10
Suppose -72 - 33 = -3*m. Let u = m + -24. What is the least common multiple of 8 and u?
88
What is the common denominator of ((-153)/15)/(16/20) and 49/58?
116
Suppose 0 = -5*u - a + 229, 0 = -4*u - 3*a + 7*a + 188. What is the smallest common multiple of u and 12?
276
Let i(y) = 2*y + 42. What is the least common multiple of 12 and i(-18)?
12
Let u = 2/785 + -15718/7065. Let y = -196016617729/2737 - -71617323. Let x = y + -2/391. Find the common denominator of u and x.
63
Let j(u) be the first derivative of -1/4*u**4 - 2*u - 5/3*u**3 + 3/2*u**2 - 1. Find the common denominator of 34/7 and j(-3).
7
Let b = -35845/8 - -4489. Let r = 2/9983241791 + -345290383837277/59699785910180. Let h = r - -40/299. Calculate the common denominator of b and h.
40
Let x(o) = -o**2 + 13*o - 16. Suppose 3*d = -3*g + 48, 5*d + 2*g = 42 + 23. Calculate the lowest common multiple of (-8)/(-6) - 4/(-6) and x(d).
6
Suppose -37*d = -32*d - 60. Calculate the smallest common multiple of 27 and d.
108
Let y = -407442988457/41508799098 + -27056/1507547. Let l = y - -2/4589. Let w = 17178 + -343491/20. Find the common denominator of l and w.
60
Let g = -38 + 393/10. Find the common denominator of (36/(-14))/9 - 101/63 and g.
90
Let d = -5 + 27. Suppose 5*k + 2*s - 141 = 0, 0 = -3*s - s - 8. Suppose -5 = 3*q - k. Calculate the smallest common multiple of d and q.
88
Suppose -a + 2 = 6. What is the common denominator of 2/(-8)*15/a and -11/14?
112
Let b(p) = p**3 + 5*p**2 - 2*p + 6. What is the lowest common multiple of b(-3) and 18?
90
What is the smallest common multiple of 6 and 3*(-6)/27 + (-58)/(-6)?
18
Suppose -t = 2*o + 32, 7*t - 2*t = 2*o + 20. Find the common denominator of (-31)/4 - (-1)/(-3) and ((-290)/o)/(88/18).
132
Calculate the common denominator of ((-396)/135)/(-2 + 26/20) and 119/30.
210
Calculate the common denominator of -53/4 and 90/108*181/150*2.
180
Let m = 25 - 13. Suppose -c + 2*u = 4*c - 17, 4*c - m = 2*u. What is the lowest common multiple of 5 and c?
5
Let t be (-24)/(-20)*(-40)/(-6). What is the common denominator of -13*t/(-18) + 0 and 23/4?
36
Suppose 0 = o - 10 - 8. What is the smallest common multiple of o and 24?
72
Suppose 4*x - 192 = -4*j, -7*j + 3*j - 144 = -3*x. Suppose x = 9*d - 10*d. Calculate the common denominator of d and 123/10.
10
Let c(l) = -l + 22. What is the least common multiple of 2 and c(16)?
6
Let x = 7267 + -94522/13. Calculate the common denominator of x and -19/3.
39
What is the common denominator of -11/10 and (21/15)/(6/(-165))?
10
Let u(k) = -k**2 + 9*k + 8. Let f be u(8). Let y be (f/12)/(1/9). Suppose 5*q - y = 3*q. What is the smallest common multiple of 3 and q?
6
Suppose 4*x + 9 = 4*s - 7, -2*x - 12 = -3*s. Calculate the least common multiple of 30 and s.
60
Let p(o) = 2*o - 3. Let j be p(5). Let t(n) = n**3 - 7*n**2 + 3*n - 1. Calculate the lowest common multiple of t(j) and (-3)/(-2*(-6)/(-56)).
140
Let j = 8323292/13 - 8808484/13. Let t = j - -37286. Let q = 5169/130 + t. Find the common denominator of -33/5 and q.
10
Let n be (-2)/9 - 25/9. Find the common denom | {
"pile_set_name": "DM Mathematics"
} |
What is the eighth root of 267319816 to the nearest integer?
11
What is 49535105 to the power of 1/10, to the nearest integer?
6
What is 323896274 to the power of 1/6, to the nearest integer?
26
What is 45155162 to the power of 1/9, to the nearest integer?
7
What is the fifth root of 26752385 to the nearest integer?
31
What is the tenth root of 1256913448 to the nearest integer?
8
What is 16504906 to the power of 1/4, to the nearest integer?
64
What is 1324157211 to the power of 1/10, to the nearest integer?
8
What is 131886370 to the power of 1/4, to the nearest integer?
107
What is the square root of 173326565 to the nearest integer?
13165
What is 110303992 to the power of 1/9, to the nearest integer?
8
What is 1049853115 to the power of 1/2, to the nearest integer?
32401
What is the square root of 61895104 to the nearest integer?
7867
What is the tenth root of 604701209 to the nearest integer?
8
What is 185573770 to the power of 1/3, to the nearest integer?
570
What is the square root of 5098603179 to the nearest integer?
71405
What is the cube root of 10576440 to the nearest integer?
220
What is the eighth root of 46807965 to the nearest integer?
9
What is 4981561865 to the power of 1/8, to the nearest integer?
16
What is 41191415 to the power of 1/2, to the nearest integer?
6418
What is the sixth root of 39790830 to the nearest integer?
18
What is the fifth root of 605425020 to the nearest integer?
57
What is 263881046 to the power of 1/3, to the nearest integer?
641
What is the third root of 44743377 to the nearest integer?
355
What is the seventh root of 69008873 to the nearest integer?
13
What is the square root of 224259002 to the nearest integer?
14975
What is 45791210 to the power of 1/2, to the nearest integer?
6767
What is the cube root of 384753315 to the nearest integer?
727
What is 38740931 to the power of 1/2, to the nearest integer?
6224
What is 32326341 to the power of 1/4, to the nearest integer?
75
What is 13146136 to the power of 1/5, to the nearest integer?
27
What is the sixth root of 18640954 to the nearest integer?
16
What is the fifth root of 49958474 to the nearest integer?
35
What is the third root of 2513809742 to the nearest integer?
1360
What is 2252665877 to the power of 1/10, to the nearest integer?
9
What is the seventh root of 35268461 to the nearest integer?
12
What is the square root of 820376983 to the nearest integer?
28642
What is 182918658 to the power of 1/3, to the nearest integer?
568
What is 5034479379 to the power of 1/5, to the nearest integer?
87
What is the square root of 9405543 to the nearest integer?
3067
What is the square root of 327782788 to the nearest integer?
18105
What is 208245438 to the power of 1/6, to the nearest integer?
24
What is the seventh root of 4414855749 to the nearest integer?
24
What is the eighth root of 2499099770 to the nearest integer?
15
What is the square root of 458600144 to the nearest integer?
21415
What is 8615126 to the power of 1/2, to the nearest integer?
2935
What is 93732570 to the power of 1/2, to the nearest integer?
9682
What is 220794719 to the power of 1/3, to the nearest integer?
604
What is the ninth root of 5232388015 to the nearest integer?
12
What is the square root of 2024834850 to the nearest integer?
44998
What is 882073969 to the power of 1/2, to the nearest integer?
29700
What is the seventh root of 101657709 to the nearest integer?
14
What is the cube root of 20274148 to the nearest integer?
273
What is the square root of 926200872 to the nearest integer?
30434
What is 102273484 to the power of 1/2, to the nearest integer?
10113
What is 1134146 to the power of 1/2, to the nearest integer?
1065
What is 35315542 to the power of 1/6, to the nearest integer?
18
What is the cube root of 265931171 to the nearest integer?
643
What is the sixth root of 131838456 to the nearest integer?
23
What is 4423280171 to the power of 1/10, to the nearest integer?
9
What is the fifth root of 296650243 to the nearest integer?
49
What is the square root of 3245835769 to the nearest integer?
56972
What is the seventh root of 3738966739 to the nearest integer?
23
What is 94387783 to the power of 1/4, to the nearest integer?
99
What is the tenth root of 232444487 to the nearest integer?
7
What is the third root of 476069607 to the nearest integer?
781
What is 45726561 to the power of 1/2, to the nearest integer?
6762
What is 1161796600 to the power of 1/2, to the nearest integer?
34085
What is the third root of 40859637 to the nearest integer?
344
What is 801396900 to the power of 1/2, to the nearest integer?
28309
What is 240535101 to the power of 1/5, to the nearest integer?
47
What is 955105527 to the power of 1/6, to the nearest integer?
31
What is the cube root of 798369805 to the nearest integer?
928
What is the cube root of 3876374609 to the nearest integer?
1571
What is the third root of 39450249 to the nearest integer?
340
What is 391629639 to the power of 1/4, to the nearest integer?
141
What is 2479349132 to the power of 1/8, to the nearest integer?
15
What is 39288152 to the power of 1/3, to the nearest integer?
340
What is the third root of 204078914 to the nearest integer?
589
What is the square root of 334411977 to the nearest integer?
18287
What is 57450060 to the power of 1/4, to the nearest integer?
87
What is 122030395 to the power of 1/3, to the nearest integer?
496
What is the cube root of 2403879 to the nearest integer?
134
What is the square root of 5758545295 to the nearest integer?
75885
What is 398947161 to the power of 1/3, to the nearest integer?
736
What is the square root of 1258881840 to the nearest integer?
35481
What is the eighth root of 1577259608 to the nearest integer?
14
What is the seventh root of 256997857 to the nearest integer?
16
What is the cube root of 122917138 to the nearest integer?
497
What is 714926771 to the power of 1/2, to the nearest integer?
26738
What is 161150577 to the power of 1/2, to the nearest integer?
12695
What is 2476508655 to the power of 1/2, to the nearest integer?
49765
What is the tenth root of 279494187 to the nearest integer?
7
What is 3483058791 to the power of 1/7, to the nearest integer?
23
What is the eighth root of 717240864 to the nearest integer?
13
What is 36191939 to the power of 1/10, to the nearest integer?
6
What is 3102391749 to the power of 1/2, to the nearest integer?
55699
What is 89921765 to the power of 1/3, to the nearest integer?
448
What is 619829355 to the power of 1/2, to the nearest integer?
24896
What is the cube root of 150348964 to the nearest integer?
532
What is 366193516 to the power of 1/4, to the nearest integer?
138
What is 42390948 to the power of 1/2, to the nearest integer?
6511
What is the cube root of 139834864 to the nearest integer?
519
What is the tenth root of 45195164 to the nearest integer?
6
What is 927034506 to the power of 1/3, to the nearest integer?
975
What is the cube root of 13459359 to the nearest integer?
238
What is 44842207 to the power of 1/3, to the nearest integer?
355
What is the seventh root of 2900980356 to the nearest integer?
22
What is 1804782696 to the power of 1/2, to the nearest integer?
42483
What is the third root of 287146250 to the nearest integer?
660
What is the fourth root of 927567031 to the nearest integer?
175
What is 837070005 to the power of 1/3, to the nearest integer?
942
What is the square root of 141031492 to the nearest integer?
11876
What is the seventh root of 2003166778 to the nearest integer?
21
What is the eighth root of 38313832 to the nearest integer?
9
What is the square root of 399073101 to the nearest integer?
19977
What is the cube root of 144047445 to the nearest integer?
524
What is the third root of 227457360 to the nearest integer?
610
What is the seventh root of 16126493 to the nearest integer?
11
What is the square root of 2279824843 to the nearest integer?
47748
What is 2806786765 to the power of 1/5, to the nearest integer?
78
What is 2888288 to the power of 1/2, to the nearest integer?
1699
What is 66329034 to the power of 1/8, to the nearest integer?
9
What is 157125015 to the power of 1/2, to the nearest integer?
12535
What is 113857081 to the power of 1/9, to the nearest integer?
8
| {
"pile_set_name": "DM Mathematics"
} |
ors of 39573846?
2, 3, 13, 19, 23, 43
List the prime factors of 2156835701.
89, 107, 226487
List the prime factors of 4077492291.
3, 97, 349, 1487
List the prime factors of 94692648.
2, 3, 3945527
List the prime factors of 66968903.
131, 511213
List the prime factors of 4758366.
2, 3, 61, 13001
List the prime factors of 660416118.
2, 3, 110069353
What are the prime factors of 254308453?
7, 29, 1252751
List the prime factors of 105863636.
2, 31, 853739
What are the prime factors of 99028331?
277, 357503
What are the prime factors of 4335636117?
3, 28753, 50263
List the prime factors of 658654162.
2, 329327081
What are the prime factors of 344275949?
67, 83, 61909
What are the prime factors of 1129672894?
2, 7, 103, 783407
List the prime factors of 200059226.
2, 29, 3449297
What are the prime factors of 5211530248?
2, 651441281
What are the prime factors of 687261105?
3, 5, 409, 461
List the prime factors of 1158282677.
41, 1489, 18973
List the prime factors of 1032535365.
3, 5, 523, 131617
List the prime factors of 155664072.
2, 3, 761, 947
List the prime factors of 36403865.
5, 2357, 3089
List the prime factors of 231348341.
7, 29, 421, 2707
List the prime factors of 64182495.
3, 5, 13, 47, 149
What are the prime factors of 32640761?
1867, 17483
List the prime factors of 1831760626.
2, 19, 139, 346793
List the prime factors of 37858035.
3, 5, 2523869
What are the prime factors of 346293398?
2, 11, 15740609
List the prime factors of 295556906.
2, 101, 1463153
List the prime factors of 1817004042.
2, 3, 7, 149, 32261
List the prime factors of 7531275023.
73, 103168151
What are the prime factors of 534109856?
2, 7, 2384419
What are the prime factors of 138652459?
11, 17, 741457
What are the prime factors of 630663678?
2, 3, 11678957
What are the prime factors of 83825177?
83825177
What are the prime factors of 201291624?
2, 3, 19, 269, 547
What are the prime factors of 1251590927?
181, 457, 15131
List the prime factors of 265598436.
2, 3, 22133203
What are the prime factors of 119680223?
13, 43, 383
List the prime factors of 620213196.
2, 3, 51684433
What are the prime factors of 53065619?
17, 311, 10037
What are the prime factors of 415209889?
101, 4110989
List the prime factors of 2335555471.
2335555471
What are the prime factors of 88972171?
88972171
What are the prime factors of 87039498?
2, 3, 7, 13, 23, 29, 239
List the prime factors of 112043447.
17, 41, 160751
List the prime factors of 3651103110.
2, 3, 5, 5653, 21529
List the prime factors of 2110719172.
2, 127, 4154959
What are the prime factors of 2204120786?
2, 7, 157437199
List the prime factors of 26022036.
2, 3, 17, 199, 641
List the prime factors of 1828193502.
2, 3, 23, 13247779
What are the prime factors of 570583584?
2, 3, 29, 53, 1289
What are the prime factors of 54685779?
3, 18228593
What are the prime factors of 57228863?
57228863
List the prime factors of 62660147.
11, 17, 335081
What are the prime factors of 152560097?
29, 5260693
List the prime factors of 1549167042.
2, 3, 41, 157, 40111
What are the prime factors of 282162597?
3, 19, 23, 137, 1571
List the prime factors of 24042108.
2, 3, 2003509
What are the prime factors of 46073333?
149, 373, 829
List the prime factors of 802105572.
2, 3, 47, 30259
List the prime factors of 3347404925.
5, 4513, 29669
List the prime factors of 1354661653.
31, 59, 593, 1249
What are the prime factors of 232027899?
3, 77342633
What are the prime factors of 113966692?
2, 7, 269, 15131
What are the prime factors of 328305906?
2, 3, 113, 173, 311
What are the prime factors of 86675669?
86675669
What are the prime factors of 179664397?
11, 16333127
What are the prime factors of 215674532?
2, 181, 297893
List the prime factors of 312894686.
2, 13, 401, 30011
List the prime factors of 602107337.
13, 46315949
List the prime factors of 33384834.
2, 3, 7, 264959
List the prime factors of 7017184095.
3, 5, 17, 3023, 9103
What are the prime factors of 4081255?
5, 816251
What are the prime factors of 831836239?
13, 23, 2782061
List the prime factors of 37053016.
2, 7, 11, 13, 661
What are the prime factors of 213683265?
3, 5, 397, 443
List the prime factors of 878526186.
2, 3, 146421031
List the prime factors of 11124390.
2, 3, 5, 370813
What are the prime factors of 2969854072?
2, 283, 1311773
List the prime factors of 9375831.
3, 115751
What are the prime factors of 768962159?
7, 47, 2337271
List the prime factors of 158602915.
5, 59, 537637
List the prime factors of 3721081.
7, 13, 103, 397
What are the prime factors of 299325601?
19, 89, 177011
What are the prime factors of 130387408?
2, 37, 257, 857
List the prime factors of 1694091.
3, 7, 80671
List the prime factors of 83376208.
2, 53, 98321
List the prime factors of 18773909.
7, 11, 61, 571
What are the prime factors of 311927304?
2, 3, 13, 173, 5779
What are the prime factors of 64114411?
64114411
What are the prime factors of 9126175?
5, 19, 19213
List the prime factors of 3342759515.
5, 668551903
What are the prime factors of 787265622?
2, 3, 11, 13, 269, 379
What are the prime factors of 283224657?
3, 1063, 88813
What are the prime factors of 671516?
2, 167879
List the prime factors of 162022462.
2, 7, 19, 609107
List the prime factors of 113259662.
2, 317, 178643
What are the prime factors of 245282776?
2, 30660347
What are the prime factors of 2908824411?
3, 969608137
List the prime factors of 2111347452.
2, 3, 281, 293, 2137
List the prime factors of 574402555.
5, 157, 199, 3677
List the prime factors of 49565297.
149, 151, 2203
What are the prime factors of 7393554175?
5, 7, 1453, 29077
What are the prime factors of 219716947?
157, 1399471
What are the prime factors of 96493831?
7, 313, 44041
List the prime factors of 124265274.
2, 3, 7, 17, 23, 47
What are the prime factors of 56649692?
2, 11, 239, 5387
What are the prime factors of 76046112?
2, 3, 71, 3719
What are the prime factors of 7791433379?
19, 23, 17829367
List the prime factors of 743210032.
2, 191, 243197
List the prime factors of 3682745038.
2, 7, 269, 2851
List the prime factors of 2838677262.
2, 3, 473112877
List the prime factors of 101324464.
2, 2269, 2791
List the prime factors of 37047532.
2, 307, 30169
List the prime factors of 72852482.
2, 37, 193, 5101
List the prime factors of 3247885169.
107, 199, 152533
What are the prime factors of 2083365082?
2, 139, 7494119
List the prime factors of 36916802.
2, 13, 1419877
List the prime factors of 60535575.
3, 5, 89, 3023
What are the prime factors of 66752873?
11, 6068443
What are the prime factors of 189989747?
189989747
What are the prime factors of 2372146999?
2372146999
List the prime factors of 140063444.
2, 35015861
List the prime factors of 2188736954.
2, 73, 14991349
List the prime factors of 313266233.
7, 23, 47, 41399
List the prime factors of 889750030.
2, 5, 13, 6844231
What are the prime factors of 2698345?
5, 13, 41513
List the prime factors of 3991358284.
2, 461, 2164511
What are the prime factors of 15252474?
2, 3, 73, 97, 359
List the prime factors of 137991427.
7, 509, 38729
List the prime factors of 431890269.
3, 41, 53, 97, 683
What are the prime factors of 2471725036?
2, 11, 56175569
What are the prime factors of 188530220?
2, 5, 31, 304081
What are the prime factors of 886936154?
2, 13, 47, 725807
What are the prime factors of 3825416129?
19, 29, 6942679
List the prime factors of 1473923199.
3, 7, 101, 694919
List the prime factors of 2949926143.
1223, 2412041
What are the prime factors of 5914953755?
5, 37, 61, 227, 2309
List the prime factors of 196142529.
3, 11, 19, 83, 3769
What are the prime factors of 3636660290?
2, 5, 59, 1783, 3457
List the prime factors of 209423012.
2, 5623, 9311
List the prime factors of 576866797.
13, 17, 200789
List the prime factors of 190621305.
3, 5, 7, 605147
List the prime factors of 24282398.
2, 7, 97, 17881
List the prime factors of 1158200054.
2, 11, 113, 173, 2693
What are the prime factors of 401294433?
3, 173, 773207
List the prime factors of 5678600762.
2, 2839300381
List the prime factors of 4154026445.
5, 37, 22454197
List the prime factors of 105719219.
105719219
What are the prime factors of 368490769?
19, 31, 625621
What are the prime factors of 1083009758?
2, 37, 223, 65629
List the prime factor | {
"pile_set_name": "DM Mathematics"
} |
st common divisor of o and z?
15
Suppose o + 483 = 4*k, 2*k - 4*o - o = 255. What is the greatest common factor of 24 and k?
24
Let q be (80 + 0)*(-3)/(-6). Calculate the highest common divisor of 16 and q.
8
Suppose 0 = 7*l + 18 - 53. Calculate the highest common divisor of l and 1.
1
Suppose -3*r - 15 = 0, 6*r + 281 = 4*m + r. Suppose 3 = 2*h - x - 23, 0 = -4*h + 5*x + m. What is the highest common factor of 11 and h?
11
Let o = -19 + 27. Suppose z = -3*z + s - 156, 0 = 2*z - 3*s + 68. Let v be z*(1 - 6/4). What is the highest common divisor of v and o?
4
Suppose -4*m + 4*x + 462 = -262, 3*m - 535 = -5*x. What is the highest common divisor of m and 45?
45
Suppose -n - 3 = -1. Let h be -2 + n/(2/1). Let f be (-23*6)/h - -2. What is the highest common divisor of 12 and f?
12
Suppose 2*l = 5*l - 3. Let y be 3 - (l - (2 + -1)). Suppose o = 12 - y. Calculate the greatest common divisor of 3 and o.
3
Let l = -20 + 34. Calculate the greatest common factor of 112 and l.
14
Let j be (-57)/6 + (-2)/(-4). Let c be (-159)/j - 3/(-9). What is the greatest common divisor of c and 45?
9
Let s(n) = 4*n + 3. Let f be s(5). What is the greatest common factor of f and 115?
23
Let t(m) = -4*m**2 + 5*m - 3. Let c be t(3). Let k be (c/20)/((-9)/240). Let z(x) = -x + 8. Let v be z(-8). Calculate the greatest common factor of v and k.
16
Let l(f) = f - 5. Let v be l(-7). Let j be (-3)/2*-2 - v. Calculate the highest common factor of 15 and j.
15
Let i be (22/(-8))/(-1)*44. Let s = 3 - 1. Suppose -s*k + 8 + 14 = 0. Calculate the highest common divisor of k and i.
11
Let m be (-1)/(22/84 - 10/35). Let h = 5 - 0. Suppose -h*c - 18 + 123 = 0. Calculate the highest common factor of m and c.
21
Suppose -2*v + 12 = 2*v. Suppose 0 = q + 2*j, 4*q + 2*j = -j + 20. Let r = 4 + q. What is the greatest common divisor of v and r?
3
Suppose 5*g - 2*a - 20 = 0, -3*g = g - 5*a + 1. Suppose -3*j - 10 = -j. Let r(q) = -14*q - 4. Let n be r(j). What is the highest common factor of g and n?
6
Let m = 24 - 15. Let b = 73 - 67. What is the highest common factor of b and m?
3
Let t(p) = -47*p - 27. Let w(f) = -23*f - 13. Let i(c) = -6*t(c) + 13*w(c). Let n be i(-6). What is the greatest common factor of 19 and n?
19
Let d = -24 - -36. Suppose -202 + 962 = 4*h. Let u = h - 82. What is the highest common factor of d and u?
12
Let t be -1 + 6 + 1 - -2. Suppose 48 = -h + 4*h. What is the highest common factor of h and t?
8
Suppose -4*m - 2 + 14 = 0. Suppose 0 = -2*f - 4*k + 4, -m*f + k + 2*k = 3. Let s be 1/((-1 - f) + 2). Calculate the highest common divisor of s and 3.
1
Let s = 41 + -22. What is the greatest common divisor of 19 and s?
19
Suppose r + 3*g - 5*g = 15, 32 = 2*r - 2*g. Suppose -w = v - 73, 0 = 5*w - 23 - 2. Calculate the greatest common factor of v and r.
17
Let u be 2/(2 + (-9)/6). What is the greatest common divisor of u and 12?
4
Let d(u) = u**2 - 7*u - 12. Let p be d(9). Suppose p*g - 10 = g. Suppose -g = -2*v - 10, m - 72 = 4*v. Calculate the highest common divisor of m and 7.
7
Let f be (4 + -1)/(18/24). Calculate the highest common divisor of f and 20.
4
Let u = -9 + 14. Let p = 86 + -46. Calculate the greatest common factor of p and u.
5
Suppose -2*g + 3*c + 76 = -g, -4*c = 8. Suppose 0 = h - 36 + 6. Let m be ((-4)/12)/((-1)/h). What is the highest common divisor of m and g?
10
Let j be (182/5 + -2)*5. Suppose 5*u - 233 = j. What is the greatest common divisor of 9 and u?
9
Let n(s) = s**3 + 6*s**2 - 9*s - 4. Let o be n(-7). Let z be (-125)/(-2)*(-4)/(-5). Calculate the greatest common factor of z and o.
10
Let r(o) = -15*o**2 - 12*o - 7. Let l(f) = -5*f**2 - 4*f - 2. Let q(n) = 11*l(n) - 4*r(n). Let j be q(-4). Calculate the highest common factor of 14 and j.
14
Suppose 9*s - 707 - 22 = 0. Calculate the greatest common divisor of 54 and s.
27
Let t be 2/3 + 118/3. Let c be 114/14 - 1/7. Suppose 4*u = t + c. What is the highest common factor of u and 4?
4
Suppose 0 = 2*y - y - 11. Suppose -x - x = 2*k, x - 12 = 5*k. Suppose x*a - 88 = -0*a. Calculate the highest common factor of y and a.
11
Suppose -r + 15 = 2*r - 5*j, r + 3*j = 5. What is the greatest common divisor of 1 and r?
1
Let k(v) = -v**3 - 8*v**2 + 9. Let x be k(-8). Calculate the highest common factor of 9 and x.
9
Let l(v) = -v**3 + 9*v**2 + 4. Let k be l(9). Suppose -3*d - 4*u = -7*d + 64, k*d + 3*u = 29. Let m = 79 + -2. What is the highest common factor of m and d?
11
Suppose 5*f - 28 = 3*y - 5*y, 0 = -2*y - f + 28. Let a = -37 - -79. What is the greatest common divisor of a and y?
14
Suppose 22 = 4*z + 6. Let s = 2 - -2. Calculate the highest common factor of z and s.
4
Suppose 5 - 25 = -j. Let k = j + 36. Calculate the greatest common divisor of k and 8.
8
Suppose -n + 5*n - 8 = 0. Suppose -3*z = 4*l - 67, 0 = -l + n*l + 2. Let p = 88 - z. What is the greatest common factor of p and 7?
7
Suppose 0 = 8*v + 9 - 89. What is the greatest common factor of v and 10?
10
Suppose -4*z = -3*z - 4. What is the highest common divisor of z and 16?
4
Suppose 2*q + 0*q - 38 = 0. Suppose 0 = -s + q + 3. Suppose -3*g + 4*g - 55 = 0. What is the highest common divisor of g and s?
11
Let h(s) = 3*s**2 - 1. Let j be h(3). Let g = -16 + j. What is the highest common factor of g and 10?
10
Let v = -18 - -31. Calculate the highest common factor of v and 13.
13
Let y = 4 - 11. Let j(k) = k**3 + 9*k**2 - 6*k - 8. Let b be j(y). Calculate the highest common factor of b and 22.
22
Suppose 0 = -3*l - 15 + 66. Calculate the highest common factor of 187 and l.
17
Let h(s) = -s + 10. Let y be h(8). Suppose 2*c = -y*c + 84. What is the highest common factor of 3 and c?
3
Let g(n) = n**2 + 2*n + 4. Let v be g(-5). Calculate the greatest common divisor of v and 209.
19
Suppose -9*d = -14*d + 125. Calculate the greatest common divisor of 150 and d.
25
Let g be 1872/10 - (-1)/(-5). What is the highest common divisor of g and 17?
17
Let i = -10 - 28. Let k be i/(-10) - 1/(-5). Let l = -18 + 42. What is the highest common divisor of l and k?
4
Suppose -168 = 2*f - 5*f. What is the highest common divisor of 14 and f?
14
Suppose -3*a + 8*a - 20 = 0, -4*a + 130 = o. Suppose -115 = -5*s + 5*t, 3*s = 5*t - 43 + o. Calculate the highest common divisor of s and 11.
11
Let n(a) = -10*a - 47. Let y be n(-8). Calculate the highest common divisor of y and 6.
3
Let i be (-2 + 13/(-2))*(-19 - -1). Let h be 17/(-2)*(-2 - 0). Calculate the greatest common divisor of i and h.
17
Let m = 2 - -29. What is the highest common divisor of m and 217?
31
Suppose 0 = 3*a + x - 8 - 59, -2*a + 3*x = -63. Let o = 102 - 30. Calculate the greatest common factor of a and o.
24
Let q = 122 - 91. Let p(l) = l**3 - l**2 + l + 31. Let b be p(0). What is the greatest common factor of b and q?
31
Let r = -81 + 121. Suppose 0*w = w. Suppose w = -4*o + r - 0. What is the highest common divisor of 30 and o?
10
Let d(h) = h**3 + h**2 + 3*h**2 - 7 + 9 + 0*h**2. Let b be d(-4). Calculate the highest common factor of 4 and b.
2
Let p = -50 - -104. Suppose 3*r - 128 = 196. Suppose z = -2*z + r. Calculate the greatest common divisor of z and p.
18
Let d = 186 + 78. Calculate the greatest common divisor of 24 and d.
24
Let g = 338 + -217. Calculate the greatest common factor of 11 and g.
11
Suppose 5*u = -0*u + 20. Suppose u = g + g. What is the highest common divisor of g and 2?
2
Let b(s) = s**2 + 11*s + 13. Let d be b(-9). Let z(a) = -a**2 - 6*a + 2. Let n be z(d). What is the greatest common factor of 7 and n?
7
Suppose 0 = 3*b + 17*b - 360. Suppose 0 = -2*o + 3*o - 9. What is the greatest common factor of b and o?
9
Suppose 799 = 4*c - 225. What is the highest common divisor of 32 and c?
32
Let f be 10/4*36/45. Suppose -n + 22 = x + 4*n, 0 = 3*x + 5*n - 26. Suppose x*q = -4 + 6. What is the greatest common factor of q and f?
1
Let a(q) = 32*q - 3. Let v be a(-5). Let n be 70/8*440/11. Let x = n + v. What is the greatest common factor of 17 and x?
17
Let g(u) = 2*u - 7. Let j(y) = -10*y + 36. Let b(f) = 11*g(f) + 2*j(f). Let h be b(11). Calculate the greatest common divisor of 119 and h.
17
Let h be 3/9 + ((-164)/(-12) - 3). Let y be 197/2 + (-1)/(-2). Calculate the greatest common factor of h and y.
11
Suppose 2*i - 110 = -i - 5*r, -4*i = -r - 139. Let w be (-6 + -1)/(2/(-2)) | {
"pile_set_name": "DM Mathematics"
} |
te s(42).
-64
Let o(g) = -g + 22. Determine o(3).
19
Let z(n) = 3*n + 42. Give z(-2).
36
Let t(x) = -x**3 + 10*x**2 + 18*x + 29. Determine t(14).
-503
Let c(y) = 15*y + 43. What is c(25)?
418
Let k(b) = b**2 + 13*b + 3. Determine k(-11).
-19
Let x(q) = -2*q**2 - 47*q + 3209. Give x(30).
-1
Let g(r) = -r**2 + 339*r + 3109. Calculate g(-9).
-23
Let a(t) = 13*t**2 + 29*t - 24. Give a(-3).
6
Let t(n) = -2*n**3 - 23*n**2 - 67*n - 11. Give t(-5).
-1
Let r(h) = 847*h + 3114. Give r(-4).
-274
Let j(i) = 2*i**3 - 98*i**2 + 16*i - 268. Give j(49).
516
Let a(d) = d**3 + 16*d**2 - 165*d - 45. Determine a(-23).
47
Let v(j) = 882*j**2 - 4415*j + 18. What is v(5)?
-7
Let k(i) = -63*i - 466. Determine k(-7).
-25
Let p(g) = 71*g - 1680. What is p(24)?
24
Let x(o) = o**3 - 8*o**2 - 383*o + 10. Give x(-16).
-6
Let p(u) = u**3 - 57*u**2 - 375*u - 107. Determine p(63).
82
Let u(j) = -122*j - 14392. What is u(-118)?
4
Let x(m) = m**3 + 10*m**2 - 34*m - 12. Give x(-12).
108
Let p(f) = 2*f**3 - 35*f**2 + 11*f - 512. Give p(18).
10
Let u(v) = -9*v**2 + 310*v - 152. Give u(34).
-16
Let s(u) = 50*u**2 - 3748*u - 149. Give s(75).
1
Let r(a) = 51*a - 47. Give r(-7).
-404
Let y(b) = b**3 + 19*b**2 + 89*b - 7. Give y(-10).
3
Let b(q) = -q**3 - 33*q**2 + 57*q + 761. Determine b(-34).
-21
Let v(y) = 626*y - 12519. Calculate v(20).
1
Let s(z) = -16*z**2 - 173*z + 28. Calculate s(-11).
-5
Let m(b) = -1664*b + 9975. Calculate m(6).
-9
Let m(a) = 50*a - 474. Give m(10).
26
Let r(c) = -149*c + 1334. What is r(9)?
-7
Let r(c) = -660*c + 7263. What is r(11)?
3
Let b(f) = f**3 - 10*f**2 + 36*f - 480. Calculate b(12).
240
Let r(b) = b**3 + 15*b**2 + 30*b - 22. Determine r(-11).
132
Let n(m) = -m**2 + 11*m + 639. What is n(31)?
19
Let s(j) = 8*j**2 + 82*j + 93. Give s(-9).
3
Let f(u) = u**3 - 17*u**2 + 97*u - 1322. Give f(16).
-26
Let r(s) = -65*s - 8. What is r(1)?
-73
Let d(o) = -8*o**2 + o - 1. Calculate d(3).
-70
Let m(r) = -r**3 - 12*r**2 - 36*r - 15. Determine m(-8).
17
Let c(x) = 6*x**3 - x**2 + 67*x - 200. What is c(3)?
154
Let n(t) = -232*t + 1552. Calculate n(7).
-72
Let k(n) = 4*n**2 - 138*n - 1544. Give k(-10).
236
Let r(n) = n**3 - 33*n**2 + 83*n + 225. Give r(30).
15
Let n(d) = 175*d - 1090. Determine n(6).
-40
Let z(t) = t + 807. Give z(-60).
747
Let k(f) = -298*f + 11507. Give k(39).
-115
Let c(p) = 208*p - 35. Determine c(-1).
-243
Let g(y) = 2*y**2 - 195*y + 3150. Determine g(77).
-7
Let b(k) = k**3 + 29*k**2 - k - 50. Calculate b(-29).
-21
Let m(t) = -3*t**2 + 30*t + 143. Give m(-6).
-145
Let b(n) = -n**3 - 41*n**2 - 32*n - 535. Determine b(-40).
-855
Let h(j) = 7*j**3 + 78*j**2 + 18*j - 13. Calculate h(-11).
-90
Let c(v) = -219*v - 901. Give c(-4).
-25
Let v(i) = 6*i**2 + 44*i + 1. Determine v(-7).
-13
Let n(r) = -1423*r + 68330. Give n(48).
26
Let k(b) = 2*b**3 - 8*b**2 + 8*b - 12. Give k(4).
20
Let o(j) = j**3 + 89*j**2 + 1476*j + 126. Calculate o(-67).
-8
Let b(o) = 90*o**2 - 275*o - 1. Determine b(3).
-16
Let w(d) = 165*d + 1414. Give w(-9).
-71
Let h(d) = -5*d + 194. What is h(19)?
99
Let n(g) = -g**2 - 250*g - 2426. Determine n(-10).
-26
Let s(p) = -7*p**2 + 27*p - 4. What is s(7)?
-158
Let f(j) = 340*j - 2722. Determine f(7).
-342
Let c(k) = -3*k**3 - 34*k**2 - 17*k - 44. Determine c(-11).
22
Let m(x) = -2*x**2 + 256*x - 254. Calculate m(127).
0
Let t(b) = b**3 + 19*b**2 + 22*b - 26. Determine t(-18).
-98
Let s(j) = -35*j + 192. What is s(5)?
17
Let y(n) = -36*n**2 - 247*n - 490. What is y(-2)?
-140
Let c(i) = -i**2 - 30*i + 454. Give c(-43).
-105
Let o(j) = -45*j**2 - 2439*j - 452. Give o(-54).
34
Let j(q) = q**2 + 15*q + 56. Determine j(-8).
0
Let i(b) = 2*b**3 + 55*b**2 - 25*b + 88. Calculate i(-28).
4
Let b(q) = -q**3 - 34*q**2 + 337*q + 161. Calculate b(-42).
119
Let k(h) = -45*h**3 + 630*h**2 - h + 23. Determine k(14).
9
Let o(t) = 10*t + 40. Give o(-6).
-20
Let u(s) = -s**2 - 167*s + 12012. Calculate u(54).
78
Let k(h) = -h**3 + 12*h**2 + 53*h - 140. Give k(15).
-20
Let u(i) = 128*i + 650. Determine u(-5).
10
Let v(c) = -c**3 + 4*c**2 + 13*c - 10. Determine v(5).
30
Let k(u) = 31*u**2 + 98*u + 315. What is k(-3)?
300
Let r(z) = 6*z**3 - 4*z**2 + 17*z + 21. What is r(-1)?
-6
Let n(i) = 99*i - 47. Give n(3).
250
Let d(g) = -g**3 - 5*g**2 + 12*g - 20. Give d(0).
-20
Let k(s) = -s**3 + 69*s**2 + 532*s - 65. Calculate k(76).
-65
Let p(g) = -172*g - 703. Give p(-4).
-15
Let r(i) = -i**2 - 13*i - 66. What is r(-8)?
-26
Let j(q) = 1066*q + 34110. Determine j(-32).
-2
Let f(d) = -57*d**3 - 13*d**2 + 38*d - 13. Determine f(2).
-445
Let o(u) = 62*u - 354. What is o(7)?
80
Let k(b) = -b**2 + b + 783. Give k(27).
81
Let k(x) = x**3 - 13*x**2 - 18*x + 44. Calculate k(14).
-12
Let n(u) = -14*u + 180. Give n(6).
96
Let i(l) = 4*l**3 - 29*l**2 + 12*l - 31. What is i(7)?
4
Let s(x) = x**2 - 7*x - 613. Give s(28).
-25
Let q(x) = -x**3 - 26*x**2 - 65*x + 34. Give q(-23).
-58
Let y(i) = -8*i + 54. Give y(2).
38
Let c(l) = -39*l + 3822. Give c(98).
0
Let n(g) = 63*g**3 + 52*g**2 + 52*g - 1. What is n(-1)?
-64
Let h(m) = m**2 + 105*m + 100. What is h(-1)?
-4
Let t(a) = 121*a**2 - 25286*a - 633. Give t(209).
-6
Let q(g) = -20*g - 1396. Calculate q(-59).
-216
Let j(o) = -o**3 - 64*o**2 + 137*o + 344. What is j(-66)?
14
Let s(n) = -n**2 - 69*n - 883. Calculate s(-52).
1
Let z(x) = x**3 + 24*x**2 + 29*x + 136. Give z(-12).
1516
Let t(o) = -2*o**3 - 40*o**2 - 201*o - 114. What is t(-12)?
-6
Let m(c) = -139*c - 1289. Calculate m(-9).
-38
Let g(y) = -96*y - 3452. Give g(-36).
4
Let y(l) = l**3 + 19*l**2 + 103*l + 212. Calculate y(-6).
62
Let d(h) = 5*h**3 + 3*h**2 + 5*h + 15. Give d(-2).
-23
Let b(x) = 83*x + 487. Determine b(-6).
-11
Let s(h) = -29*h - 167. Determine s(-12).
181
Let q(r) = -2*r**2 + 51*r - 319. Give q(10).
-9
Let b(y) = -20*y + 459. Determine b(22).
19
Let j(z) = -5*z**2 - 398*z - 1025. Determine j(-77).
-24
Let l(j) = 604*j - 44095. Calculate l(73).
-3
Let m(d) = -7*d**2 - 268*d - 2516. Determine m(-22).
-8
Let q(g) = 8*g**2 - 316*g + 44. Calculate q(40).
204
Let l(d) = d**2 - 92*d - 2546. What is l(-22)?
-38
Let z(g) = -g**3 + 24*g**2 - 15*g + 339. Give z(24).
-21
Let j(s) = 2*s**2 - 19*s - 115. Give j(-6).
71
Let f(m) = 5*m + 103. Determine f(-9).
58
Let k(m) = -8*m + 291. Determine k(-10).
371
Let d(i) = -i**3 + i**2 + 205*i + 70. Determine d(0).
70
Let q(g) = -38*g**2 - 290*g + 586. What is q(2)?
-146
Let b(k) = 5*k**2 - 126*k - 124. What is b(-1)?
7
Let b(v) = -2*v**2 + 136*v - 94. Calculate b(67).
40
Let t(w) = -15*w + 200. Calculate t(11).
35
Let j(b) = -b**3 + 15*b**2 + 5*b - 39. Calculate j(16).
-215
Let h(o) = 28*o**2 - 20*o. Calculate h(3).
192
Let h(f) = -f**2 + 11*f - 7. What is h(4)?
21
Let x(g) = -10*g**2 + 70*g + 6. Give x(7).
6
Let g(y) = 125*y + 52. Give g(-1).
-73
Let t(r) = -4*r**2 + 101*r + 44. What is t(25)?
69
Let q(w) = 60*w + 52. Calculate q(3).
232
Let u(o) = -o**2 + 56*o + 281. What is u(52)?
489
Let x(l) = 2*l**3 + 101*l**2 + 53*l + 113. Give x(-50).
-37
Let j(g) = -2*g**3 - 7*g**2 - 13*g - 58. Calculate j(-4).
10
Let z(f) = -f**3 - 5*f**2 + 10*f - 24. Determine z(-7).
4
Let a(w) = 6*w + 132. Determine a(-38).
-96
Let r(x) = 12*x**2 + 25*x + 8. Give r(-2).
6
Let s(n) = n**3 + 2*n**2 - 10*n - 11. What is s(-2)?
9
Let v(k) = 130*k - 2647. Give v(21).
83
Let y(u) = 4*u - 58. What is y(5)?
-38
Let h(i) = -1846*i - 38769. Give h(-21).
-3
Let l(k) = -k**2 + 26*k - 28. What is l(1)?
-3
Let h(r) = -r**2 + 57*r - 525. Determine h(46).
-19
Let n(p) = p**3 + 42*p**2 - 17*p - 724. What is n(-42)?
-10
Let v(f) = -54*f - 3164. What is v(-62)?
184
Let k(j) = 75*j - 361. Determine k(13).
614
Let m(k) = -k**2 - 469*k - 38989. What is m(-361)?
-1
Let a(p) = -6*p - 188. Determine a(-9).
-134
Let x(w) = 1737*w - 97271. Give x(56).
1
Let t(u) = 17*u**3 - 95*u**2 + 56*u - 36. Calculate t(5).
-6
Let t(a) = 6*a - 39. Determine t(5).
-9
Let y(d) = -26*d**3 + 16*d**2 + 24*d + 2. Determine y(-2).
226
Let n(p) = 4*p**2 + 152*p + 103. Calculate n(-38).
103
Let m(k) = 73*k + 494. Calculate m(-7).
-17
Let p(d) = -33*d**3 + d**2 - d. Give p(1).
-33
Let i(d) = -d**2 + 41*d - 99. Determine i(42).
-141
Let t(m) = -m**3 - 34*m**2 + 238*m - 111. Calculate t(-40).
-31
Let f(k) = 2*k**2 - 79*k - 1013. Determine f(-10).
-23
Let r(m) = 4*m**3 + 7*m**2 - 5*m + 17. What is | {
"pile_set_name": "DM Mathematics"
} |
third derivative of t(b). Give d(h(w)).
-50*w
Let z(y) = -40382 + 40382 + 10*y**2. Let h(i) = 3*i - 4*i + 3*i. Determine z(h(j)).
40*j**2
Let v(o) = -o**2 - 22*o + 7. Let b(y) = -108*y**2 + 2. What is v(b(r))?
-11664*r**4 + 2808*r**2 - 41
Let l(x) = 4*x**2. Let w(j) = -21*j + 68*j + 97 + 19*j - 97. Give w(l(r)).
264*r**2
Let i(z) = 32*z**2 - 4. Let n(c) = 9*c. Give n(i(x)).
288*x**2 - 36
Let i(l) = -2*l**2. Let b be 16/7 + 4/(-14). Let k(h) = 0 + 12*h**b - 17*h**2 + 0. What is i(k(a))?
-50*a**4
Let r(a) = -a + 284. Let t(w) = 3*w - 52. Give r(t(y)).
-3*y + 336
Let s(t) = -t**2. Let i(k) = 12398*k**2. What is s(i(d))?
-153710404*d**4
Let m(p) = -6*p**2 + 10*p - 84. Let o(n) = -7*n**2 + 12*n - 84. Let i(s) = 6*m(s) - 5*o(s). Let l(f) = -2*f. Calculate l(i(k)).
2*k**2 + 168
Let z(d) = 42*d - 23*d - 13*d**2 + 2*d**2 - 19*d. Let n(g) = -27 + 3*g**2 + 27. Calculate z(n(h)).
-99*h**4
Let z(w) = 4*w**2 - 4*w**2 + 5*w**2 - 4*w**2. Let o(k) = 56*k**2 + 1. Calculate o(z(n)).
56*n**4 + 1
Let o(r) = -r. Let y(h) = -345427*h**2. Give y(o(z)).
-345427*z**2
Let r(f) = 4*f. Let p(q) = -3*q**2 + 3*q. Let s be p(2). Let y be (2 + -3)/(3/s). Let l(t) = 0*t**2 + 2*t**2 - 5*t**y. Calculate l(r(m)).
-48*m**2
Suppose -9*s + 10 = -4*s. Let x(j) = -j**2 + 7*j**2 + 3*j**s. Let b(y) = -y. Calculate b(x(v)).
-9*v**2
Let j(k) = -114*k**2. Let c(p) = 1779*p**2. Calculate c(j(o)).
23119884*o**4
Let u(v) = -4*v**2. Let d(f) = -15*f. Let k(m) = 31*m. Let t be (2 + -3)/((-1)/(-5)). Let g(y) = t*d(y) - 2*k(y). What is u(g(l))?
-676*l**2
Let x(m) = 203761*m + 7*m**2 - 203761*m. Let v(j) = 7*j**2 + 6*j + 6. Let l(n) = 105*n**2 + 91*n + 91. Let d(y) = 6*l(y) - 91*v(y). Give x(d(u)).
343*u**4
Let p(z) = z. Let c(n) = 8*n**2. Let q(k) = -k**2. Let b(u) = c(u) + 6*q(u). Calculate b(p(h)).
2*h**2
Let y(t) = -4*t. Let i(f) = 53*f + 58*f + 51*f - 163*f. Give y(i(r)).
4*r
Let r(x) = -10*x**2 - 3*x + 3. Let b(g) = 0*g + 8*g - 4 + 11*g**2 - 4*g. Let m(w) = -3*b(w) - 4*r(w). Let q(i) = -i. What is q(m(a))?
-7*a**2
Let f(z) = -z**2. Let u(p) = 13651*p**2. Calculate f(u(i)).
-186349801*i**4
Let y(z) = -2*z**2. Let v(o) be the third derivative of -1/5*o**5 + 0*o**4 - 18*o**2 + 0 + 0*o**3 + 0*o. What is v(y(c))?
-48*c**4
Let w(g) be the second derivative of 0*g**3 + 0 - 1/12*g**4 + 0*g**2 - 8*g. Let z(p) = 10*p. Let m(s) = -3*s. Let y(t) = -14*m(t) - 4*z(t). What is w(y(h))?
-4*h**2
Let k(y) = -586*y**2. Let d(h) be the first derivative of 2*h**3/3 - 224. Give d(k(g)).
686792*g**4
Let l(f) = -f**2. Suppose 2*h = 2*k, 4*h + 3*k - 2*k = 0. Suppose -w + 2*w = h. Let n(s) = w - 3*s + 0. Give n(l(r)).
3*r**2
Let a(p) be the first derivative of p**3/3 + 26. Let j(k) = 49*k. What is a(j(i))?
2401*i**2
Let l(u) = 5*u**2 - 2*u. Let g(t) be the first derivative of 0*t**2 + 0*t - 34 - 2/3*t**3. What is l(g(d))?
20*d**4 + 4*d**2
Let k(m) = 96*m**2. Let q(v) = 17*v**2 - 18*v. Let b(h) = 4*h**2 - 4*h. Let o(u) = 9*b(u) - 2*q(u). Calculate k(o(p)).
384*p**4
Let j(b) = 7*b. Let v(s) = 481*s**2 - 65*s + 130. Let h(n) = 15*n**2 - 2*n + 4. Let x(o) = 65*h(o) - 2*v(o). What is x(j(w))?
637*w**2
Let s(f) be the third derivative of -f**5/30 - f**2. Let c(w) = -10*w**2 + 8984*w - 8984*w. What is c(s(j))?
-40*j**4
Let r(k) = 2*k**2. Let g(c) = -5165*c**2. Give g(r(i)).
-20660*i**4
Let z(f) be the second derivative of f**3/2 - 2*f + 175. Let v(d) = 117*d**2. Calculate z(v(b)).
351*b**2
Let z(u) = 4*u. Let r(v) = -149*v - 4. Let c(w) = -298*w - 10. Let a(g) = -2*c(g) + 5*r(g). Determine z(a(d)).
-596*d
Let c(a) = -32*a - 240. Let x(l) = -l - 5. Let p(t) = c(t) - 48*x(t). Let i(w) = 2*w**2. Calculate i(p(o)).
512*o**2
Let s(w) = 4*w. Let o(u) = u. Let b(a) = 8*o(a) - 3*s(a). Let d(x) = 2*x**2 - 2*x + 1. Let q(k) = 8*k**2 - 12*k + 6. Let j(m) = -6*d(m) + q(m). What is j(b(n))?
-64*n**2
Let a(s) = 63*s - 157*s + 91*s. Let h(l) = -73*l. Determine h(a(b)).
219*b
Let y(j) = 8*j**2. Let a(z) be the second derivative of 25*z**3/6 + z - 4. What is a(y(i))?
200*i**2
Let z(d) = -3*d**2 - d. Let u(w) = 67*w - 13*w - 18*w - 17*w - 23*w. Determine z(u(r)).
-48*r**2 + 4*r
Let j(r) be the third derivative of -r**4/24 + 256*r**2. Let z(m) = -92*m. Determine z(j(w)).
92*w
Let g(x) = -2*x**2. Let u(c) = 6*c + 2. Let p(a) = 60*a + 21. Let d = -39 - 3. Let f(i) = d*u(i) + 4*p(i). Determine f(g(z)).
24*z**2
Let n(s) be the third derivative of -s**4/12 + 2*s**2 + 14. Let z(f) = f**2. What is n(z(v))?
-2*v**2
Let v(d) be the first derivative of 2*d**3 - 3*d**3 - 6 + 4. Let b(y) = -3*y**2 + 3. Let a(w) = 6*w**2 - 5. Let q(f) = 3*a(f) + 5*b(f). Determine v(q(i)).
-27*i**4
Let r(s) = 273*s**2 - 551*s**2 + 275*s**2. Let j(l) = -3*l**2 - 4. What is r(j(i))?
-27*i**4 - 72*i**2 - 48
Let q(u) = -7*u**2 - 4. Let b(k) = -116*k**2. Calculate b(q(y)).
-5684*y**4 - 6496*y**2 - 1856
Let q(g) = 4*g**2. Let a(k) = -70*k. Let c(j) = -14*j. Let b(t) = 2*a(t) - 11*c(t). Calculate q(b(o)).
784*o**2
Let y(o) = -2*o**2 - 2*o + 14516. Let m(x) = x. Calculate m(y(z)).
-2*z**2 - 2*z + 14516
Let x(s) = -12*s. Let q(i) = 29*i - 65. Determine q(x(v)).
-348*v - 65
Let c(o) = 42*o. Suppose 65 = -2*m + 7*m. Let t(z) = 15*z**2 + 13*z - 13. Let k(y) = -7*y**2 - 6*y + 6. Let s(j) = m*k(j) + 6*t(j). Give c(s(l)).
-42*l**2
Let g(v) = -2*v**2. Suppose o + 78 = 5*j - 20, -3*o + 6 = 0. Let u = -18 + j. Let y(m) = 2*m**2 + 2*m**2 - 4*m**2 - 2*m**u. What is y(g(z))?
-8*z**4
Let m(x) = 7*x**2 - 6. Let n(u) = -18*u**2 - 81 + 98 - 2*u**2. Let w(p) = 17*m(p) + 6*n(p). Let k(d) = 38*d. Calculate k(w(t)).
-38*t**2
Let c(v) = -v**2 - 407*v + 1. Let a(f) = -49*f. Calculate a(c(s)).
49*s**2 + 19943*s - 49
Let w(p) = -112*p**2 - 12*p. Let z(n) = -10*n. What is z(w(v))?
1120*v**2 + 120*v
Let n(s) = 1894611 - 1894611 - 3*s + 0*s. Let x(f) = -1. Let g(v) = 8*v**2 - 24. Let o(d) = -g(d) + 24*x(d). Determine n(o(c)).
24*c**2
Let b(u) = 243894*u. Let p(i) = 3*i. Calculate p(b(o)).
731682*o
Let w(r) = -2*r**2. Let a be 5/((-15)/6) - -5. Suppose -2*o - 5*p - 32 = -3*o, -o - 13 = 4*p. Let f(c) = -c - a*c + o*c - c. Give f(w(g)).
-4*g**2
Let u(x) = -5*x**2 + 3*x + 3. Let j(l) = 4 + 10*l - 16*l**2 + 3 + 3. Let y(q) = -3*j(q) + 10*u(q). Let z(p) = -17*p. Give z(y(a)).
34*a**2
Let d(k) be the third derivative of 17*k**5/60 + 4*k**3/3 + 40*k**2 + 2*k. Let f(x) = -2*x**2. What is d(f(r))?
68*r**4 + 8
Let i(w) = 10*w - 472. Let m(y) = 4*y - 195. Let o(c) = 5*i(c) - 12*m(c). Let s(v) = -v - 1 + 1. What is o(s(x))?
-2*x - 20
Let a(p) = -9*p. Let u(x) = 113*x + 6. Determine u(a(c)).
-1017*c + 6
Let b(v) = -3*v + 12042. Let x(n) = n**2. Calculate b(x(l)).
-3*l**2 + 12042
Let t(x) = 657*x**2 + 99. Let n(a) = 41*a**2 + 6. Let f(m) = 66*n(m) - 4*t(m). Let d(w) = -3*w. Calculate d(f(q)).
-234*q**2
Let c(x) be the third derivative of x**4/24 + 19*x**2. Let f(j) = -j**2 + 157 - 157. Calculate c(f(o)).
-o**2
Let k(o) be the third derivative of o**4/8 + 1811*o**2. Let q(i) = -i + 1. Let b(s) = 16*s - 14. Let u(g) = 4*b(g) + 56*q(g). Give k(u(j)).
24*j
Let w(t) = -76*t**2 + 2. Let q(b) = 8045*b. What is w(q(j))?
-4918873900*j**2 + 2
Let w(y) = -2*y**2. Let k(t) be the first derivative of 7/2*t**2 + 8 + 0*t. Determine w(k(l)).
-98*l**2
Let r(y) = -12*y**2 - 3. Let c(w) = w**2 + 10 - 2*w**2 - w**2 - 10. Calculate c(r(d)).
-288*d**4 - 144*d**2 - 18
Let q(y) = -22*y. Let o(h) be the second derivative of 13*h**4/6 - 2*h - 26. Give q(o(t)).
-572*t**2
Let j(u) = 20*u**2 + 6. Let t(r) = 3*r**2 + 1. Let c(v) = -j(v) + 6*t(v). Let z(l) = -41*l**2. Give z(c(m)).
-164*m**4
Let c(x) = -19*x. Let b(u) = -20*u**2 - 7. Determine c(b(z)).
380*z**2 + 133
Let k(h) = 14*h. Let u(s) = -168*s**2. Calculate u(k(t)).
-32928*t**2
Let i(x) = -2 - 2*x + x**2 + 7*x**2 + 0*x - 3*x**2. Let q(f) = 6*f**2 - 3*f - 3. Let v(u) = -3*i(u) + 2*q(u). Let r(m) = -3*m. Give r(v(w)).
9*w**2
Let o(a) = 7*a**2 - 87*a + 3. Let w(t) = -7*t. Determine o(w(y)).
343*y**2 + 609*y + 3
Let l(c) = -182 + 182 + 0*c - 2*c. Let y(d) = 109*d - 34*d - 34*d. Give l(y(x)).
-82*x
Let n(f) = -4*f**2. Let c be (-24)/(-32)*20/3. Let b(k) = -k + 13*k + c*k. Determine n(b(w)).
-1156*w**2
Let u(g) = 76*g**2 - 6. Let a(v) = 3*v**2 - 18. Determine a(u(j)).
17328*j**4 - 2736*j**2 + 90
Let i(l) = -2*l**2 + 1354 - 1354 + 0*l**2. Let t(c) = -19*c**2. Give i(t(u)).
-722*u**4
Let z(i) = -5 | {
"pile_set_name": "DM Mathematics"
} |
t is -1a3d (base 14) in base 13?
-2221
Convert 1300 (base 6) to base 9.
400
-733 (base 12) to base 5
-13142
32d2 (base 16) to base 13
5bca
-6df5 (base 16) to base 13
-ca74
Convert 263d (base 15) to base 6.
101434
Convert -54 (base 8) to base 7.
-62
Convert 3230 (base 5) to base 11.
370
What is -2426 (base 7) in base 10?
-902
43b (base 12) to base 15
2b8
Convert -692 (base 10) to base 13.
-413
-c0a (base 13) to base 14
-a58
What is -24a (base 14) in base 6?
-2042
What is -5616 (base 10) in base 13?
-2730
-1048 (base 14) to base 8
-5370
What is 1f52 (base 16) in base 13?
385a
420 (base 10) to base 8
644
Convert -24532 (base 6) to base 8.
-7110
Convert 1112002 (base 4) to base 16.
1582
Convert 1301220 (base 4) to base 3.
100222100
7363 (base 9) to base 6
41003
Convert -120100221 (base 3) to base 6.
-123511
What is 111101001001 (base 2) in base 8?
7511
Convert 2547 (base 9) to base 16.
772
-154030 (base 6) to base 7
-62064
What is -ed6 (base 16) in base 8?
-7326
1442 (base 9) to base 6
5015
What is -310201 (base 4) in base 15?
-ee1
5956 (base 12) to base 13
4725
What is -1c4 (base 14) in base 10?
-368
Convert -1062 (base 10) to base 13.
-639
-149d (base 15) to base 6
-32251
Convert -212112121 (base 3) to base 14.
-637b
3210 (base 9) to base 3
10020100
What is -15090 (base 11) in base 6?
-243015
Convert 121121 (base 5) to base 6.
33000
-410144 (base 5) to base 15
-3d84
What is -352222 (base 6) in base 12?
-15672
-389 (base 11) to base 15
-20a
614 (base 14) to base 4
102222
What is -1ad (base 14) in base 7?
-1006
What is 10311 (base 5) in base 3?
222011
63 (base 11) to base 13
54
What is 4541 (base 11) in base 3?
22012021
Convert c03 (base 16) to base 9.
4186
295b (base 12) to base 4
1023113
-1011 (base 15) to base 14
-1343
10010011 (base 2) to base 5
1042
What is 354 (base 10) in base 3?
111010
What is a0ba (base 12) in base 10?
17422
Convert 5874 (base 14) to base 11.
10621
What is -33013 (base 5) in base 11?
-1773
Convert -e6e (base 15) to base 10.
-3254
-1102400 (base 6) to base 15
-11473
What is -687c (base 14) in base 12?
-a5ba
What is 2101120 (base 5) in base 8?
103347
Convert 2134 (base 5) to base 6.
1210
What is -53335 (base 6) in base 4?
-1301123
What is -363 (base 11) in base 14?
-22c
-33101 (base 7) to base 5
-231112
7372 (base 9) to base 16
1523
-5ab (base 14) to base 4
-101223
-322051 (base 6) to base 8
-63417
10233301 (base 4) to base 13
8b06
What is -14d3c (base 15) in base 11?
-46467
Convert -42052 (base 8) to base 10.
-17450
What is 10321 (base 6) in base 8?
2611
330 (base 11) to base 9
480
2301 (base 4) to base 10
177
What is 5d (base 16) in base 3?
10110
Convert -2010 (base 7) to base 16.
-2b5
What is -2c2 (base 13) in base 3?
-200101
Convert 116024 (base 7) to base 8.
51444
Convert 3420402 (base 5) to base 10.
60727
10111010 (base 2) to base 10
186
Convert -3187 (base 11) to base 5.
-113314
Convert 264 (base 9) to base 8.
334
Convert -8a6 (base 15) to base 3.
-2200110
What is 3c (base 13) in base 4?
303
-1550 (base 10) to base 11
-118a
What is -11120021 (base 3) in base 2?
-110100000000
What is 33333 (base 5) in base 2?
100100100111
What is 692 (base 12) in base 7?
2561
What is cc (base 16) in base 15?
d9
1738 (base 10) to base 14
8c2
What is 1b (base 13) in base 5?
44
202 (base 5) to base 7
103
Convert -23b (base 14) to base 6.
-2021
Convert 202021 (base 3) to base 2.
1000100011
What is dd (base 14) in base 5?
1240
What is 1002000120 (base 3) in base 14?
79d2
Convert 10331 (base 6) to base 13.
856
10111101101011 (base 2) to base 4
2331223
Convert -3996 (base 14) to base 5.
-311003
162 (base 16) to base 15
189
655 (base 13) to base 2
10000111100
43a (base 11) to base 4
20033
-92 (base 11) to base 6
-245
Convert c1a (base 14) to base 7.
6633
Convert -34324 (base 5) to base 10.
-2464
Convert 11100111 (base 2) to base 9.
276
What is -20452 (base 9) in base 13?
-61ac
1bd (base 15) to base 6
1511
What is 353 (base 8) in base 14?
12b
What is 13a (base 14) in base 16?
f8
Convert 2111213 (base 4) to base 10.
9575
Convert -469 (base 10) to base 7.
-1240
Convert -59b0 (base 13) to base 16.
-3169
What is -2411 (base 10) in base 16?
-96b
Convert -604 (base 9) to base 16.
-1ea
33673 (base 9) to base 11
15934
Convert -140 (base 13) to base 11.
-191
118c (base 13) to base 7
10144
What is -313320 (base 5) in base 16?
-28dc
What is -85a6 (base 13) in base 16?
-487d
4633 (base 8) to base 15
ade
30353 (base 11) to base 8
126470
Convert 10aa (base 13) to base 4.
210201
Convert 300323 (base 5) to base 8.
22367
What is -2363 (base 7) in base 10?
-878
What is -11565 (base 7) in base 3?
-11011110
Convert 10001111100 (base 2) to base 5.
14043
a46 (base 13) to base 14
8cc
Convert -7382 (base 10) to base 4.
-1303112
11012 (base 4) to base 9
402
Convert -11001010 (base 2) to base 3.
-21111
Convert -10213 (base 8) to base 9.
-5725
What is 125036 (base 8) in base 14?
11c2a
Convert -a149 (base 14) to base 3.
-1101222222
What is -1535 (base 7) in base 13?
-383
What is -33540 (base 7) in base 2?
-10000100111001
13010 (base 8) to base 6
42040
Convert 152524 (base 6) to base 4.
3220210
326 (base 10) to base 15
16b
437 (base 10) to base 4
12311
Convert 2425 (base 16) to base 2.
10010000100101
-6047 (base 12) to base 16
-28b7
What is c78 (base 13) in base 3?
2220210
Convert 3020122 (base 4) to base 2.
11001000011010
4897 (base 14) to base 12
7405
What is 230344 (base 6) in base 4?
10301320
What is -d39 (base 16) in base 3?
-11122101
What is -7518 (base 12) in base 8?
-31044
Convert 10001101111 (base 2) to base 16.
46f
-15544 (base 8) to base 2
-1101101100100
What is -14353 (base 6) in base 15?
-a36
Convert a034 (base 15) to base 4.
20100013
3365 (base 8) to base 13
a70
What is 41112 (base 5) in base 9?
3572
What is -20020020 (base 3) in base 6?
-33010
What is 17a28 (base 12) in base 7?
202004
Convert -616 (base 14) to base 11.
-998
-136156 (base 7) to base 15
-7b3d
52d9 (base 14) to base 10
14303
-100001110 (base 2) to base 10
-270
-1d7 (base 16) to base 7
-1242
What is -1122011 (base 4) in base 15?
-1a95
Convert -1001000110 (base 2) to base 12.
-406
122523 (base 6) to base 9
16066
What is -6400 (base 7) in base 5?
-33004
Convert 131330 (base 4) to base 9.
2558
What is -1003 (base 11) in base 5?
-20314
-3602 (base 8) to base 12
-1142
1c50 (base 16) to base 2
1110001010000
-185d (base 16) to base 3
-22120000
Convert -203b (base 12) to base 11.
-26a5
Convert 194 (base 11) to base 9.
268
-6c84 (base 16) to base 5
-1342110
3197 (base 10) to base 11
2447
Convert 136 (base 11) to base 8.
240
Convert -1210122 (base 3) to base 8.
-2441
-102a (base 16) to base 7
-15031
-301131 (base 5) to base 16
-2545
-10236 (base 7) to base 9
-3416
Convert 1001001000 (base 2) to base 16.
248
111344 (base 8) to base 10
37604
Convert -1a97 (base 12) to base 10.
-3283
1380 (base 13) to base 4
223320
What is -14307 (base 9) in base 7?
-40234
What is 67567 (base 8) in base 10?
28535
1122102 (base 3) to base 6
5315
What is 2010110 (base 4) in base 5?
232333
What is -141221 (base 5) in base 8?
-13263
Convert -2fd (base 16) to base 2.
-1011111101
What is -101122200 (base 3) in base 10?
-7767
-1302d (base 15) to base 16
-ed79
What is -1678 (base 10) in base 2?
-11010001110
28002 (base 9) to base 12
ab78
-2e2 (base 15) to base 13
-3bc
Convert -35332 (base 9) to base 10.
-23600
Convert -1011011101101 (base 2) to base 16.
-16ed
What is -110110111 (base 2) in base 11?
-36a
52165 (base 10) to base 4
30233011
What is -117114 (base 9) in base 3?
-10121010111
-111110 (base 5) to base 16
-f41
What is 2241 (base 8) in base 7?
3312
Convert -ab4 (base 15) to base 4.
-211303
-109b (base 12) to base 8
-3467
1213 (base 6) to base 3
102000
Convert 169c (base 14) to base 4.
333122
1102 (base 6) to base 14
142
Convert 111700 (base 8) to base 4.
21033000
Convert -15355 (base 10) to base 15.
-483a
Convert -995c (base 14) to base 5.
-1322132
243 (base 5) to base 11
67
Convert -11012 (base 3) to base 10.
-113
-2 (base 6) to base 15
-2
-211420 (base 5) to base 10
-7110
-b82 (base 13) to base 14
-a05
Convert 112220 (base 3) to base 14.
20a
Convert -13301 (base 4) to base 2.
-111110001
-288 (base 15) to base 10
-578
What is 231002 (base 4) in base 5?
43012
What is -9292 (base 13) in base 3?
-1000202021
Convert -202 ( | {
"pile_set_name": "DM Mathematics"
} |
e.
h**(1710/11)
Simplify (((b*b*b*b**(3/17))/b*b)/(b**2*b))/(b*(b*b**(-9)*b)/b*b*b/(((b*(b*b**(8/9))/b*b)/b*b)/b)) assuming b is positive.
b**(1081/153)
Simplify (r/r**(-43)*r*r*(r*r/r**(-2/3))/r*r*r)**(-1/6) assuming r is positive.
r**(-149/18)
Simplify (m**0)**(22/5)*m*m**10*m*m**(-10) assuming m is positive.
m**2
Simplify (((g*g/g**(-1))/(g*g**(5/4)/g))/((g*g**8)/g**(-8)))**(-10/3) assuming g is positive.
g**(305/6)
Simplify (r**(1/5)/r)/r*r/r**(-4/21)*r*r**(-17)*r**(-2)*r assuming r is positive.
r**(-1849/105)
Simplify (j**(-2/39)/j)/((j*j**(-14))/j)*j**10*j*j/j**(-2/27)*j assuming j is positive.
j**(9134/351)
Simplify h*h*h*h**11*h*h*h*h**(-2/15)*(h*h**(-2))**(-5) assuming h is positive.
h**(328/15)
Simplify ((v**3*v/v**(2/11))/(v**1)**(17/2))**18 assuming v is positive.
v**(-927/11)
Simplify (x*x**(-4)*((x**(3/7)*x*x*x)/x)/x*((x/x**(-1/9)*x)/x)/(x*x**(-1/6)*x))**(-36) assuming x is positive.
x**(578/7)
Simplify (r*r/(r*r**(-1/2)*r))**(-20)*r*r**(-16)*r**(-13)*r assuming r is positive.
r**(-37)
Simplify (((v/(v/v**(-3/4)))/(v*(v/(v/(v*v/v**(2/9))*v))/v))/((v*v**(-6))/(v/(v*v/(v**(-1/6)*v)))))**(2/27) assuming v is positive.
v**(119/486)
Simplify (t/t**(-37)*t**(2/25))/(t**(-4/13)/t)**(2/3) assuming t is positive.
t**(37978/975)
Simplify (((((z*z**(2/3))/z)/z*z)**(5/2))**(6/5))**(-33) assuming z is positive.
z**(-66)
Simplify ((d**1/d)/d)/d**(3/5)*(d*d**(-8/9)*d)/d**(-10/9) assuming d is positive.
d**(28/45)
Simplify (((y/(y/((y/(y**(-24)/y))/y)))/y*y)/((y/y**(5/4))/y))/((y*y**(-6/7)*y)/y)**(2/3) assuming y is positive.
y**(2197/84)
Simplify (w**0/w**(-8))/(w**(-2/25)*w*w**6) assuming w is positive.
w**(27/25)
Simplify ((n*n/((n/(n*n**3*n))/n)*n*n**(1/3))**(3/7))**10 assuming n is positive.
n**(250/7)
Simplify (k/k**(-3/5))**(-42)/(k**(3/4))**50 assuming k is positive.
k**(-1047/10)
Simplify (h**(1/17)*h*(h/(h*h**(-1/15)*h))/h)/(h**4)**24 assuming h is positive.
h**(-24703/255)
Simplify (p*p*p**(8/5)*p**(-3/11))/(p/(p*p*p*p/p**(-2/29)*p)*p/p**(-25)*p) assuming p is positive.
p**(-31268/1595)
Simplify ((l*l**(-1/3)*(l*l**(-1/2))/l)/((l/l**(-3))/(l/(l/(l*l**2)))))**(-48) assuming l is positive.
l**40
Simplify (o**(-2/17)*o*o)**(2/15)/(o**5)**37 assuming o is positive.
o**(-47111/255)
Simplify (((y*y**(-2/7)*y)/y)**(-36/7)*y**2*y/(y**1/y))**50 assuming y is positive.
y**(-1650/49)
Simplify ((a**1*a)**(-1/3)/(a**(-1/5)/a**(-7)))**24 assuming a is positive.
a**(-896/5)
Simplify ((x/x**(1/5))/(x**(-1/4)*x)*x**7/(x*x**1))**(-2/15) assuming x is positive.
x**(-101/150)
Simplify ((t/(t/((t*(t*t**8)/t*t)/t)))/(t*t/t**(-6)*t)*(t**2/t)**(-10/9))**(-19) assuming t is positive.
t**(190/9)
Simplify (n**(-20)/(n*n*(n/n**19)/n*n*n))/((n*n**(-2/19))/n**16) assuming n is positive.
n**(192/19)
Simplify (f/(f/(f/(f*f*f**(-11)*f)))*(f**(-4)/f*f)/f*f*f*f)/((f*f*f**(4/9)/f*f)/f*f*f/f**(-10)*f) assuming f is positive.
f**(-67/9)
Simplify ((j**(-4)*j*j/j**4)**(-5/18))**(4/23) assuming j is positive.
j**(20/69)
Simplify (((j/(j/((j**(-1/2)*j)/j))*j)/j)**8*j*j**(-2/7)*j*j*j**(-1/6)*j*j)**48 assuming j is positive.
j**(184/7)
Simplify (w**2)**(-34)/(w/(w/(w*(w*(w*w/(w/(w/((w**(-6)*w)/w)*w)))/w)/w))*w*w*w/(w/w**(2/5))) assuming w is positive.
w**(-397/5)
Simplify (f*f*f*f**(1/11)*f*f)**39*(f**(-3/7))**(-28) assuming f is positive.
f**(2316/11)
Simplify (q/(q*q**(-4/9))*q*q/q**3*q/q**(1/2)*q*(q*q**(-1/9))/q*q)**(-8) assuming q is positive.
q**(-44/3)
Simplify (((d/d**(-14))/d)/d**1)/((d*d/d**(4/5))/d**(-9)) assuming d is positive.
d**(14/5)
Simplify (p/p**0)**(-17)/((p**(3/11)*p)/p*(p/p**(-1))/p) assuming p is positive.
p**(-201/11)
Simplify (u**(1/31)*u)**(-11)/((u/u**(2/21))/u**(-3/4)) assuming u is positive.
u**(-33877/2604)
Simplify (a**(-7)/(a**(-2/7)/a))/(a**(-4/9)*((a**(-2/41)*a)/a)/a*a) assuming a is positive.
a**(-13486/2583)
Simplify ((p*((p**(-2/9)*p)/p)/p*p)**31)**(35/3) assuming p is positive.
p**(7595/27)
Simplify (z**(-3/7))**(-46)*z**(-1/10)*z**(-1/5) assuming z is positive.
z**(1359/70)
Simplify (((i*i*i**1/i)/i**(-1/3))/(i**(1/7)/(i*i**1)))**(-49) assuming i is positive.
i**(-616/3)
Simplify ((s**(-2)*s*s)/(s*s/(s*s**(-4/9)))*(s*s*s**(-2))**(-5))**(6/19) assuming s is positive.
s**(-26/57)
Simplify (((y*y/y**(1/7)*y)/y)/y**(-4/9))/(((y/(y/(y/y**(-2/27)))*y)/y)/(y*y**(-5)*y)) assuming y is positive.
y**(-335/189)
Simplify (c/(c*(c/c**15)/c))**22/(c/((c*c*c**4*c)/c))**(5/8) assuming c is positive.
c**(2665/8)
Simplify (z/z**(2/11))/(z**(-2)*z)*(z**(2/13))**(5/7) assuming z is positive.
z**(1930/1001)
Simplify (q/(q*(q/((q/q**(-14))/q))/q))/(((q**(1/11)*q)/q)/q)*(q/(q/(q/q**1)*q*q))**(25/3) assuming q is positive.
q**(-58/33)
Simplify (z**10)**(-10)*z*z/(z*z**(-7)/z*z)*z**(-12/7)/z assuming z is positive.
z**(-663/7)
Simplify (r**6/(r*r*r**8))/(r*r**7*r/(r*r**(-1/13))*r*r*r) assuming r is positive.
r**(-196/13)
Simplify ((r*r**4)/r)**(-1/24)*r**(15/8)*r**(1/33) assuming r is positive.
r**(153/88)
Simplify (p**(-1/9)*p)/p*p/(p*p/(p/(p*(p**(-14)*p)/p)))*(p/(p/(p/p**(1/13))))/(p**(8/7)/p) assuming p is positive.
p**(11195/819)
Simplify (i/(i*i**(-7/3)*i)*i*i**(-8))**(-33) assuming i is positive.
i**187
Simplify (d**(-37)/(d*d/(d**(-2/9)/d)))/(d**(-5/8))**(1/17) assuming d is positive.
d**(-49187/1224)
Simplify ((g**(-2)/(g**(-5)/g*g))/(g**0)**(2/69))**(3/4) assuming g is positive.
g**(9/4)
Simplify (x/(x**(-6/11)*x))/(x**(-2)*x)*x*x**(-5)*(x/x**8*x)/x assuming x is positive.
x**(-104/11)
Simplify ((g/(g*g/(g*g*(g*g**(-1)*g)/g)))**(-1/52)/(((g**(-6)/g*g)/g)/g*g*g**(-1/4)*g))**13 assuming g is positive.
g**81
Simplify ((a/(a/(a*a**(-5/2))*a)*a)/a**(-2/5))**(40/7) assuming a is positive.
a**(-44/7)
Simplify z**20*z*z*z/((z**(5/12)/z)/z)*z**(-6)*z**23*z assuming z is positive.
z**(511/12)
Simplify (i*i**(3/2)*i**(2/9)*(i**(-1))**50)**10 assuming i is positive.
i**(-4255/9)
Simplify m**(18/5)*((m/(m*m**1))/m)/m*(m**8/m)/m**(1/4) assuming m is positive.
m**(147/20)
Simplify (c/(c*(c*c/(c/(c*c**(-3/10)/c)*c*c))/c*c))**41*(c/c**(-2/69))/((c/c**28*c)/c) assuming c is positive.
c**(56117/690)
Simplify (q/(q**(-2/7)/q*q*q)*((q*q**13*q*q)/q)/q)/((q**(-1/15)*q)/q*(q**12/q*q)/q*q) assuming q is positive.
q**(247/105)
Simplify ((j**(7/6))**(-28/9))**24 assuming j is positive.
j**(-784/9)
Simplify (p**(-9)*p/p**(8/3))/(p**14*p*(p**(2/7)*p)/p) assuming p is positive.
p**(-545/21)
Simplify (h**(2/7))**(12/7)*h**(-4)/h**(4/3) assuming h is positive.
h**(-712/147)
Simplify (m**16*m)/m**(-22)*m/m**(-9)*m/(m/(m**25*m))*m assuming m is positive.
m**76
Simplify ((g**(-4)/(g/g**(2/21)))/((g/(g/(g/(g*g**(-3/2)*g*g))))/((g*g*g/(g/(g/(g*g**(-2))*g)))/g*g)))**(6/11) assuming g is positive.
g**(25/77)
Simplify (q*q**(-15))/(q*(q/(q/(q**(-5)*q))*q)/q)*(q*q**(2/15)*q)**(2/99) assuming q is positive.
q**(-16271/1485)
Simplify (c*c*c**(-2/47)*c*c*c)/c**(-11)*c**(12/7)*c**36*c assuming c is positive.
c**(17987/329)
Simplify (u*(u**(-6)/u)/u)**(-15)*(u*u/(u/(u*u**5)))**(1/23) assuming u is positive.
u**(2422/23)
Simplify m**0/(m/(m/(m/(m/((m**29*m)/m))))*m*m)*m**(-10/7)*m/(m**(-21)*m*m)*m assuming m is positive.
m**(-80/7)
Simplify ((y*y**(-4/3))/(y*y**13*y))/(y**(-2/7))**(1/9) assuming y is positive.
y**(-964/63)
Simplify (u**(-1)/u**(-3/2))/((u**(-4)/u)/u**(-1/19)) assuming u is positive.
u**(207/38)
Simplify ((k*k**(2/33)*k)/(k*k**(-38)*k))/(k**30)**(-2/53) assuming k is positive.
k**(68548/1749)
Simplify (z**(-2/23)/z**(-22))/((z**(-20)/z)/(z*z*z/(z*z**(-6)*z))) assuming z is positive.
z**(1148/23)
Simplify (((s/(s/s**(2/3)))**(-16))**(-1/44))**(6/7) assuming s is positive.
s**(16/77)
Simplify (a*a**(1/11)*(a/(a/(a/(a**(5/6)*a)))*a)/a)/(a*a**(1/14)/a*a*a**(1/12)*a) assuming a is positive.
a**(-1753/924)
Simplify ((p*p**(-1/4))/p*(p**(-6/7)*p)/p)/(((p/p**(-4/5)*p)/p)/(p**(-2/35)*p)) assuming p is positive.
p**(-55/28)
Simplify (n**(-1)/n)**18/((n*n*n/n**(-5/4)*n)/(n**7/n)) assuming n is positive.
n**(-141/4)
Simplify ((v*v**(30/13)*v)**23)**(-3/2) assuming v is positive.
v**(-1932/13)
Simplify (k*k**(-2)/k)**(7/2)/(k*k**(-5)*k)**(-10) assuming k is positive.
k**(-37)
Simplify (((g/(g/(g**0*g))*g)/g*g)**0/(g**(-3)*g*g**(-2)))**(18/11) assuming g is positive.
g**(72/11)
Simplify (p**8)**(11/5)/(p**(-1/16))**(2/41) assuming p is positive.
p**(28869/1640)
Simplify x**12*x*x**(-2)*x*x**(1/9 | {
"pile_set_name": "DM Mathematics"
} |
of 20 + b + -3 + -2?
1
Let u = -218 + 309. What is the units digit of u?
1
Let l = -41 - -45. Suppose x - 9 = l*v, -2*x + 5*v + 14 + 1 = 0. What is the units digit of x?
5
Let j be -5*(5/(-5) + 0). Suppose 275 = 5*p - j*z, -5*z = p - 19 - 48. What is the tens digit of p?
5
Suppose -z - 2*c = 3*z - 3102, -5 = 5*c. What is the hundreds digit of z?
7
Suppose -3*q = -2*g - 332, -700 = 4*g + 3*q - 0*q. Let l = 343 + g. Suppose -5*j + l = -139. What is the tens digit of j?
6
Let k be 27/6 + (-2)/(-4). Suppose k*a - 4*a - 107 = 0. What is the tens digit of a?
0
Suppose 0 = 5*u + 32 + 3. Let t(i) = 3 + 3*i + 4*i**2 - 2*i**2 - i**2. What is the tens digit of t(u)?
3
Let b be 2/17 - 2268/204. Let v be (-131)/2 - b/22. Let z = v + 109. What is the tens digit of z?
4
Let p be 6 + -1 - (-5 - -5). Let c(b) = -b**3 + 9*b**2 + b + 7. What is the units digit of c(p)?
2
Let n = -46 + 493. What is the units digit of n?
7
Suppose 0 = -2*l - 2*b + 1562, -5*l + 2411 = 2*b - 1482. What is the hundreds digit of l?
7
Let m be 2/(-3)*(4 + 593). Let d = m - -603. What is the hundreds digit of d?
2
Let n(s) = -s**2 - 19*s - 18. Let d be n(-16). Suppose 5*a + 60 = -d. Let g = a + 51. What is the units digit of g?
3
Suppose -3*v + 22 = r + 3, -2*r = -8. Let k(y) = 3 - 5*y**3 - 5*y**2 - y**3 - 10*y - 5*y**2 + v*y**3. What is the units digit of k(-9)?
2
Suppose 3*z = 2*j - 110 + 19, 0 = -2*z + 3*j - 69. Let s = -27 - z. Suppose s = -4*v + 102 - 42. What is the tens digit of v?
1
Let f be -190 - (1 + -3 - 2). Let h = -129 - f. What is the units digit of h?
7
Suppose m + 545 = -4*q - 2*m, 0 = 4*q - 5*m + 553. Let c = q + 226. What is the units digit of c?
9
Let y(w) = w**3 + w + 3. Let k be y(0). Suppose -k*s + 2*m = -34, 2*s + s = -2*m + 14. Let r = -5 + s. What is the units digit of r?
3
Let t be ((-18)/(-10))/(3/10). Suppose 2*r - t - 16 = 0. Let c = 19 + r. What is the tens digit of c?
3
Let w = 96 - 48. Let d = 51 - w. What is the units digit of d?
3
Let w be 5 + (-5 - -3)/1. Let m be w/6 - (-7)/2. Suppose 14 = -m*j + 106. What is the tens digit of j?
2
Let f(d) = -2*d**3 - 9*d**2 - 5*d + 6. What is the units digit of f(-5)?
6
Let v(h) = 45*h + 124. What is the units digit of v(6)?
4
Let v = 85 + -53. Suppose 3*o - 5*j - 200 = 0, -o + v = 4*j - 29. What is the tens digit of o?
6
Suppose -345 = -a - 4*g, -2*a + 694 = -16*g + 20*g. What is the tens digit of a?
4
Suppose -4*w + 5*w - 2*m = 125, -4*m + 667 = 5*w. Let f = w - 51. What is the units digit of f?
0
Let a = -36 + 40. Suppose 5*c - 329 = -3*t, -9 = -a*t + 3. What is the units digit of c?
4
Suppose 5*n - 12 = 3*n. Suppose 62 = n*b - 3*b + p, -4*b = 5*p - 101. What is the units digit of b?
9
Let u(z) = -7*z**2 + z**3 + 0*z**3 + 3 + z**2 + z**2 - 13*z. What is the units digit of u(8)?
1
Suppose -80 = -l - 82, -2*w + 5946 = -4*l. What is the units digit of w?
9
Let n(v) = v - 8. Let q be n(-7). Let f = -11 - q. Suppose -132 = -f*w + w. What is the units digit of w?
4
Let d = -2786 - -5762. What is the thousands digit of d?
2
Suppose 3034 = 2*p - 2630. What is the tens digit of p?
3
Let o(m) be the third derivative of -m**6/60 - m**5/12 + m**4/6 - 2*m**3/3 - 2*m**2. Let u be o(-5). Let c = -52 + u. What is the tens digit of c?
4
Let k be 116/(-28) + (-3)/(-21). Let n be (784/k)/(3 + -5). Suppose -4*z - 3*g = -148, 0 = -z + 4*z - g - n. What is the units digit of z?
4
Suppose 0 = -788*k + 786*k + 7446. What is the units digit of k?
3
Let c be (-4 - 44) + (-4 - 0). Let p = c + 97. What is the tens digit of p?
4
Let k(i) be the third derivative of -4*i**6/15 - i**4/12 - i**3/3 - 6*i**2. What is the tens digit of k(-1)?
3
What is the thousands digit of 11193/(-17 + 24) + -3*2?
1
Suppose 0 = 2*q - 97 + 93. Suppose -3*y = -5*f + 524, 277 = q*f + 3*y + 80. What is the hundreds digit of f?
1
Let d(f) be the second derivative of -f**6/360 + f**5/12 - f**4/3 + f**3/2 + 3*f. Let h(g) be the second derivative of d(g). What is the tens digit of h(7)?
1
Suppose -2*j = -4*r - 5564, 11*r - 16*r = j - 2817. What is the hundreds digit of j?
7
Let r(o) = o**3 - o**2 - 11*o - 122. What is the thousands digit of r(15)?
2
Let s(x) = -4*x**3 - 9*x**2 - 7*x + 34. What is the hundreds digit of s(-6)?
6
Let n(r) = -64*r + 14. Let a be n(-14). Suppose -16*f - a = -21*f. What is the tens digit of f?
8
Let g be (-3 + (4 - 1))/(-1). Let z(n) = -n - n + n + g. What is the units digit of z(-4)?
4
Let j be 24/(-28)*(-14)/4. Suppose -3*i + 2*c = -498, -2*i - c = j*c - 332. What is the units digit of i?
6
Let s be (-370)/20 + (-1)/(-2). Let w be 3 - s/(-3) - -4. What is the units digit of 6*(w + (-14)/(-4))?
7
Suppose 28*r + 22*r - 148450 = 0. What is the thousands digit of r?
2
Suppose 13*r - 30344 - 26440 = 0. What is the thousands digit of r?
4
Suppose 133*g = 137*g - 10404. What is the units digit of g?
1
Let f = 722 - 275. What is the units digit of f?
7
Suppose -19608 = 12*s - 31*s. What is the tens digit of s?
3
Let h = 117 + -83. Let x = 39 - h. Suppose 2*q = 6*q - 16, 3*s + x*q = 206. What is the units digit of s?
2
Let p(v) = 0*v - 3 - 43*v**2 + 5*v + 44*v**2. Let f be p(-6). Suppose 0 = -4*t + y + f*y + 124, 2*y = -5*t + 155. What is the tens digit of t?
3
Let t be (135 - (-3 - -3)) + 2. Suppose 4*j = t + 39. What is the units digit of j?
4
Suppose 1054*z - 2134 = 1043*z. What is the hundreds digit of z?
1
Let b(d) = 10*d**3 + d**2 - 2*d + 4. Let t(z) = -z**2 + 6*z - 5. Let r be t(2). What is the hundreds digit of b(r)?
2
What is the tens digit of (-23736)/(-34) - (1057/(-119) - -9)?
9
Suppose 4*b + 8*h - 7*h - 3543 = 0, 0 = b - 2*h - 897. What is the tens digit of b?
8
Suppose -4*s + 252 = -384. Let u = 230 - s. What is the tens digit of u?
7
Let b be -4*-3*(-4)/(-24). Suppose o - 3*t + 37 = t, -o - 43 = -b*t. What is the units digit of (0/(-2) - o)*1?
9
Let r be ((-8)/4 - -5) + (-421 - -1). Let x = r + 640. What is the units digit of x?
3
Let l = 1802 + 240. What is the units digit of l?
2
Suppose 3*n = -3*g + 4659, 14*n - 6216 = 10*n - 2*g. What is the units digit of n?
5
Suppose -3*f - b + 19 = 3, 10 = f + 5*b. Suppose 3*a - f = 2*a. Suppose 3*d - 5 = -4*q, -4*d + d + 41 = -a*q. What is the units digit of d?
7
Suppose 2*q - 5*q = -51. Let t = -15 + q. Suppose -3*k + 54 = -j, -k + 3*k - 32 = t*j. What is the tens digit of k?
1
Suppose 0 = -7*b + 6785 - 401. What is the tens digit of b?
1
Let v be 7*(-4)/(140/(-15)). Suppose 141 = t - 0*t - v*q, 4*q = -12. What is the hundreds digit of t?
1
What is the thousands digit of (-72488)/(-42) - 90/(-945)?
1
Suppose -2*n + i + 478 = -3104, -2*n = 5*i - 3594. What is the tens digit of n?
9
Let s = 1 - 3. Let t be 2*s/(-4) - 1. Suppose -x - 4*x + 100 = t. What is the units digit of x?
0
Let u(z) = -14*z - 162. Let i be u(-12). Let y(f) be the first derivative of -f**3/3 + 4*f**2 + 12*f - 1. What is the units digit of y(i)?
4
Let c(h) = h**2 - 46*h + 505. What is the tens digit of c(60)?
4
Suppose -65*m + 61*m = -1764. What is the hundreds digit of m?
4
Let i = 214 + 857. What is the units digit of i?
1
Let m = -193 + 402. What is the hundreds digit of m?
2
Suppose 27 = 3*b + 2*z - 7, 0 = 2*b - 2*z - 16. Let r(k) = k + 14. Let a be r(b). Suppose 2*f = m + a, -2*f = -0*m + 5*m. What is the units digit of f?
0
Let f = 32 - 31. What is the units digit of f*1/1 + 18 + -5?
4
Suppose 4*p - 4*f + 2*f = -52, -5*p - 4*f - 65 = 0. Let a = 135 - p. What is the units digit of a?
8
Suppose -2*a + 2439 = i, -3*i + 289 = a - 923. What is the units digit of a?
1
Let z = -17 - -6. Let a be 2/z - (-10212)/22. What is the units digit of a/24 - (-8)/(-6)?
8
Suppose 5*o - 3 = -3*a, a = 4*o - 2*a - 24. What is the units digit of (3 + -4)*o*-1?
3
Suppose 5*j - 5*p = -10, 0*p + 6 = 2*j + 3*p. Let h(k) be the second derivative of -k**3/3 + 3*k**2/2 - 16*k. What is the units digit of h(j)?
3
Suppose -3*r - 3*r + 1212 = 0. What is the tens digit of r?
0
Let a = 130 + 223. Suppose a + 775 = 8*n. What is the hundreds digit of n?
1
Let o = 22 + -18. Suppose 0*q - q - 2*y + 162 = 0, o*y = -q + 156. What is the units digit of q?
8
Suppose -4*r = 4*m - 28, 4*m - 6*m - 4*r = -14. Let o be 0 + (-4 + m - 1). Suppose -5*w + 0*w = -5*k + 260, w = o*k - 104. What is the tens digit of k?
5
Let o = 790 + -473. What is the hundreds digit o | {
"pile_set_name": "DM Mathematics"
} |
w + 9 = 0. Find the second derivative of -209*q - q**4 + 207*q + w*q**5 + 14*q**4 wrt q.
60*q**3 + 156*q**2
Let b = 80 + 55. Find the second derivative of -183*i**2 - 120*i + b*i + 8*i**2 wrt i.
-350
Let g(d) be the first derivative of d**6/6 - 28*d**5/5 + 7*d**4/4 + 199*d**3/3 - 2*d - 8842. What is the third derivative of g(v) wrt v?
60*v**2 - 672*v + 42
Let b(r) be the first derivative of -3277*r**4/4 + 391*r**3/3 - 2832. What is the third derivative of b(d) wrt d?
-19662
Let h be -123*((-8)/(-12))/2. Let j = h - -43. What is the third derivative of -12*b**2 - b**3 + 0*b**2 + 2*b**3 - 5*b**j wrt b?
6
Let v = 12 + -6. Suppose -3 = -5*g + 27. What is the third derivative of -3*o**v + o**6 - 13*o**2 - 8*o**6 - o**g wrt o?
-1320*o**3
Let t(g) = 3735*g**3 + 10*g**2 + 120*g + 4. Let i(l) = 11*l**3 - 2*l**2. Let c(f) = 5*i(f) + t(f). Find the second derivative of c(v) wrt v.
22740*v
Let h be (-9)/(-12) - 33/(-4). Suppose -h*n = -5*n. What is the first derivative of -6*t + n - 1 + 2 wrt t?
-6
Let y(u) be the second derivative of -217/2*u**2 + 0*u**3 + 60*u + 59/12*u**4 + 0. Differentiate y(m) with respect to m.
118*m
Suppose -2*o - 132 = -u, 4*u - 34*o = -35*o + 519. Find the third derivative of -j**2 - 195*j**4 + u*j**4 - 49 + 101*j**4 wrt j.
864*j
Let b(p) = 28*p**2 - 21*p - 39. Let s be b(-2). What is the derivative of 71*c + 65*c - 250*c + 77*c - s wrt c?
-37
Let h = 104 + -102. Find the second derivative of -33 - 12*a - 9*a**h - a + 6*a + 8*a wrt a.
-18
Suppose 0 = -3*k + 4*v + 11, -2*k + 3*v + 14 = 2*v. Let b be -3 + k + -2 - -3. What is the second derivative of 12*a - b*a + 22*a - 17*a**5 + 48*a**5 wrt a?
620*a**3
Let k(o) be the first derivative of -3803*o**4/2 + 1237*o**2 - o - 7154. Find the second derivative of k(m) wrt m.
-45636*m
Let j be (6/4)/(3/452). Differentiate 5*o + j - 6*o - 40*o - 205 with respect to o.
-41
Let p be 14 + (1 + 1)*-2. What is the derivative of 21*m**2 + m**2 + 58*m**2 + 23 + p wrt m?
160*m
Let c be (10/(-3))/((-7)/84). Let x = 43 - c. Find the first derivative of -10 - 14*a**x + 14*a**3 - 7*a**4 wrt a.
-28*a**3
Suppose 0 = -4*y - 4*d - 4 + 32, -2*y = 3*d - 17. Find the first derivative of 4*a**y - 44*a + 13*a**4 - 2*a**3 - 74 + 44*a wrt a.
68*a**3 - 6*a**2
What is the derivative of -11*v - 2715 - 350*v - 2291*v**3 + 361*v wrt v?
-6873*v**2
Let m(y) be the first derivative of 147*y**5/5 - 2*y**3/3 + y**2 + 332*y + 5307. Find the first derivative of m(t) wrt t.
588*t**3 - 4*t + 2
Let l(u) be the first derivative of 0*u**3 - 145/2*u**4 + 0*u + 40 - 131/2*u**2. What is the second derivative of l(z) wrt z?
-1740*z
What is the derivative of -4018*m + 496*m + 1152 + 319 wrt m?
-3522
Let v(o) be the third derivative of 1789*o**9/504 + o**6/120 + 1649*o**5/30 + 2249*o**2. What is the third derivative of v(s) wrt s?
214680*s**3 + 6
Let g(b) = 44*b**3 - 431*b**2 - 6*b + 18006. Let w(m) = -58*m**3 + 574*m**2 + 8*m - 24008. Let l(k) = 13*g(k) + 10*w(k). What is the derivative of l(f) wrt f?
-24*f**2 + 274*f + 2
Let i(s) be the second derivative of 3 + 11/2*s**2 + 11/3*s**3 + 7*s. Differentiate i(k) with respect to k.
22
Let o(j) be the first derivative of -400*j**3 - 213*j**2/2 + j - 1174. Find the second derivative of o(s) wrt s.
-2400
Let b(g) be the second derivative of 27*g**5/10 + 3853*g**3/6 - 4357*g. Find the second derivative of b(u) wrt u.
324*u
Let h(i) = -8*i - 77. Let o be h(-10). Find the second derivative of 5*j**2 - 9*j**4 - 2*j**2 - 76*j - o + 80*j wrt j.
-108*j**2 + 6
Let l(w) = 628*w**3 + 20*w**2 + 1255*w. Let v(m) = -315*m**3 - 8*m**2 - 626*m. Let i(r) = -2*l(r) - 5*v(r). Find the second derivative of i(h) wrt h.
1914*h
Suppose 4 - 64 = -10*k. What is the first derivative of 39 + 7*v**2 - k*v - v + 9*v wrt v?
14*v + 2
Let p be (-13)/((-26)/(-4)) + 106. What is the second derivative of -71*z - 28875*z**3 - 1 + 28875*z**3 - p*z**5 wrt z?
-2080*z**3
Let u(n) = -62*n**4 + 3*n**2 - 9*n - 1122. Let d(j) = -123*j**4 + 5*j**2 - 15*j - 2243. Let r(q) = -3*d(q) + 5*u(q). Differentiate r(x) wrt x.
236*x**3
Let p(d) = -23*d - 282. Let c(k) = 22*k + 281. Let u(y) = 4*c(y) + 5*p(y). Differentiate u(j) wrt j.
-27
Let l(z) = 602*z**2 + 764*z + 3. Let c(h) = 1202*h**2 + 1527*h + 5. Let s(n) = 3*c(n) - 5*l(n). Find the second derivative of s(j) wrt j.
1192
Let o(s) = 4*s**2 - 5*s - 6. Let p be o(-1). What is the second derivative of -8*k**4 + 41*k**3 - 41*k**p - 34*k**4 - 81*k wrt k?
-504*k**2
Let m = 53 - 51. Find the second derivative of -942*r**5 - 4*r**m + r + 946*r**5 - 18 - 10 wrt r.
80*r**3 - 8
Differentiate 696*i**2 - 468 - 1496*i**2 - 78*i**2 with respect to i.
-1756*i
Suppose -3*u - 12 = 2*a - 52, -a = -2. Differentiate 27*h**2 - 9*h**2 + 2*h**3 - 6*h**2 + 141 - u*h**2 + 6*h wrt h.
6*h**2 + 6
Find the second derivative of -4*d**4 + 2*d**4 - 12*d - 6*d + 59*d - 159 - 13*d**2 - 104*d**3 - 31*d wrt d.
-24*d**2 - 624*d - 26
Let f(l) be the second derivative of 322*l**5/5 + l**4/6 + 1048*l**3/3 - l - 4777. What is the second derivative of f(s) wrt s?
7728*s + 4
Suppose 4*k = -2*o - 51 - 211, 2*k + 151 = 3*o. Let q = k + 73. What is the third derivative of -370*f**2 + 30*f**q + 180*f**2 + 177*f**2 wrt f?
1800*f**2
Let d(v) = 264*v**3 + 1000*v**2 - 10*v + 15. Let g(l) = -l**3 + 2*l - 3. Let k(h) = -d(h) - 5*g(h). Find the third derivative of k(r) wrt r.
-1554
Find the third derivative of -39*h + 5630*h**2 + 40*h + 0 - 1555*h**2 - 145*h**3 + 0 wrt h.
-870
Let f(b) be the third derivative of -1607*b**8/56 - b**5/60 - 953*b**4/24 + b**3/6 - 954*b**2 + 2*b. Find the third derivative of f(d) wrt d.
-578520*d**2
Let k(g) be the first derivative of -59*g**4/4 - 206*g + 3187. What is the first derivative of k(o) wrt o?
-177*o**2
Let o = 266 - -82. What is the derivative of -5 - 314*g**2 + 0 + 16 + o*g**2 - g**3 wrt g?
-3*g**2 + 68*g
Let y be 14/(-10) - 16392050/(-125). What is the third derivative of -147*d**2 - d**5 - 131135*d**3 + y*d**3 + 5*d**6 wrt d?
600*d**3 - 60*d**2
Differentiate -1287*t**2 - 314*t + 270*t**2 + 314*t - 1130*t**2 + 3730 wrt t.
-4294*t
Suppose 1 = -5*j + 3*k, 47*j + 5*k + 23 = 43*j. Let v(q) = -99*q + 115. Let t(w) = -13 - 10 - 8*w + 28*w. Let y(g) = j*v(g) - 11*t(g). Differentiate y(i) wrt i.
-22
Let w(i) be the second derivative of 0*i**2 + 0 + 0*i**3 - 2/7*i**7 + 19/12*i**4 + 0*i**6 - 53*i + 0*i**5. What is the third derivative of w(f) wrt f?
-720*f**2
Let r be (-50)/(-175) - 19*(-1)/7. Let d be 2 + (r - 0 - 0). Find the third derivative of 9*u**5 + 10*u**d - 33*u**2 + 57*u**2 wrt u.
1140*u**2
What is the second derivative of 804*g**4 - 326*g**5 + 991*g**5 - 802*g**4 - 2157*g + 322*g**5 wrt g?
19740*g**3 + 24*g**2
Let g(r) = 57*r**2 + 59*r + 5. Let m(h) = 57*h**2 + 65*h - 7*h + 331 - 325. Let b(k) = -6*g(k) + 5*m(k). What is the second derivative of b(y) wrt y?
-114
Let a(p) = 27861*p**2 - 31302*p. Let n(c) = -753*c**2 + 846*c. Let k(r) = 4*a(r) + 150*n(r). Find the second derivative of k(s) wrt s.
-3012
Suppose -6*q + 2*q - 21 = -5*f, 5*f + 3*q = 28. Suppose 0 = f*g - 7 - 8. Find the second derivative of 18*j - 9*j**3 + 13*j**3 - 24*j**g wrt j.
-120*j
Let b(d) be the first derivative of 264*d**5/5 + d**2/2 - 5884*d + 3149. What is the first derivative of b(n) wrt n?
1056*n**3 + 1
Let m = 395 + -391. Let j(n) = -24*n**2 - 4*n - 3. Let f(i) = 23*i**2 + 5*i + 4. Let o(u) = m*f(u) + 5*j(u). What is the first derivative of o(h) wrt h?
-56*h
Let u(i) = -i**3 + i**2 - i + 2. Let q(y) = -8*y**2 - 212*y - 17 - 222*y + 441*y. Let c(b) = q(b) + 6*u(b). Find the second derivative of c(k) wrt k.
-36*k - 4
Let x(o) be the first derivative of o**6/2 - 12*o**5/5 - 5*o**4/2 + o**3 - 177*o**2/2 - 2*o - 2687. Find the third derivative of x(s) wrt s.
180*s**2 - 288*s - 60
Suppose -23 + 26 = -c, 15615 = 5*g - 5*c. What is the derivative of -2997 + 107*s + 36*s + g wrt s?
143
Let s be ((-2)/(-10))/(8 - 1071/135). What is the second derivative of 27 - 236*h**2 - s*h + 408*h**2 + h + 3*h - 274*h**2 wrt h?
-204
What is the third derivative of 251*l**2 - 878*l**3 + 24*l - 3056*l**2 + 23*l - 47*l wrt l?
-5268
Differentiate 3822*c**3 + 1878*c**3 + 754 - 210 - 1721*c**3 + 846 wrt c.
11937*c**2
Let o(g) be the second derivative of 0*g**3 + 0*g**4 - 14/5*g**5 - 2*g + 35 + 27/2*g**2. Differentiate o(w) with respect to w.
-168*w** | {
"pile_set_name": "DM Mathematics"
} |
hat are the prime factors of j?
11
Suppose 4*m = 4*f - 108, 0*m + 66 = 3*f + 2*m. Suppose -5*v - f = -j + 36, -v + 132 = 3*j. List the prime factors of j.
3, 5
Let j(g) = -g**3 - 4*g**2 + 3*g + 7. Let k be j(-3). Let t be 4*(k/4 + 1). What are the prime factors of ((-120)/(-35))/((-1)/t)?
2, 3
Suppose d = 2*v - 2, 4*d + 0*v = v + 20. Suppose b = d + 2. Let w(j) = -j**2 + 10*j - 6. What are the prime factors of w(b)?
2, 5
Let z = -2178 + 4067. List the prime factors of z.
1889
What are the prime factors of 8790/20*(-252)/(-27)?
2, 7, 293
Let z(a) = -a**2 - a + 3. Let g be z(0). Suppose 40 = g*n - n. Suppose -2*o - n = -4*o. What are the prime factors of o?
2, 5
Let r = -14 - -16. Suppose 145 + 135 = -r*p. Let o = p - -207. What are the prime factors of o?
67
Let x(b) = 3*b + 63. What are the prime factors of x(-10)?
3, 11
Let k(u) = 7. Let z(q) = q - 1. Let v(f) = -k(f) + 3*z(f). Suppose -t + 4*p - 2 = 2*p, -20 = -4*p. What are the prime factors of v(t)?
2, 7
Let m(b) = 8*b**3 + 16*b**2 - 5*b + 14. What are the prime factors of m(5)?
3, 463
Suppose -a + 2*d + 82 = 6*d, -a - 2*d = -82. Suppose 0 = -4*f + 5*c + a, 5*f + 2*c = c + 88. What are the prime factors of f?
2, 3
Let b = 519 - 275. What are the prime factors of b?
2, 61
Suppose -l + 5*s - 1 = -11, 0 = -2*l + 2*s - 12. Let p = 73 - 71. What are the prime factors of l/5 + 26/p?
11
Suppose b = 3*b - 50. Let v be (16/(-20))/((-2)/b). Suppose -4*s + 8*s + p - 58 = 0, -5*p - v = 0. List the prime factors of s.
3, 5
Suppose -a + 2*a = 0. Suppose -3*r + 9 = -a*r. Suppose r*p - p = 44. What are the prime factors of p?
2, 11
What are the prime factors of -9 - -2 - (-1352 + 4)?
3, 149
Let m = 736 - -194. List the prime factors of m.
2, 3, 5, 31
Let c(r) be the second derivative of r**3/2 + r**2/2 + 3*r. Let x be c(1). Suppose -132 = -x*i + i. List the prime factors of i.
2, 11
Let j(h) = -h - 8. Let c be j(-9). Let z = 3 - c. Suppose 2*n = a - 11, a - 5*n + 25 = z*a. List the prime factors of a.
3, 5
Let h(i) be the second derivative of -i**4/6 + 29*i**3/6 - 21*i**2/2 - 4*i. What are the prime factors of h(11)?
2, 7
Let k(t) = -2*t**3 + t**2 - 4*t - 3. Suppose y - 9 = 4*y. List the prime factors of k(y).
2, 3
Let n(o) = -o**3 - 3*o**2 - 5*o - 4. Let s be n(-2). Let k be (-1)/s + (-213)/6. Let z = k + 73. What are the prime factors of z?
37
Let w(r) = r**3 + 10*r**2 - 10*r - 12. Let t be w(-11). Let b = t + 21. Let c(a) = a**3 + 2*a**2 - a + 2. List the prime factors of c(b).
2
Suppose 17*l = 21*l + 2*v - 2018, -l + 5*v + 521 = 0. What are the prime factors of l?
2, 11, 23
Let o = 2049 + -1319. What are the prime factors of o?
2, 5, 73
Let u(z) = 25*z - 15. Let m(f) = -38*f + 23. Let q(g) = 5*m(g) + 8*u(g). List the prime factors of q(5).
3, 5
Let v(i) = -i**2 - 16*i - 10. Let c be v(-11). Let j = -24 + c. Let k = -11 + j. List the prime factors of k.
2, 5
Let v = 135 - 74. Let g = 133 - v. What are the prime factors of g?
2, 3
Let h = 37 + -41. List the prime factors of (h/(-1) - -4)*4.
2
Let w be 1/(-7) + (-165)/(-77). Suppose w*h + 15 = 7*h. Suppose -2*g + 205 = h*g + 5*t, 2*g - 94 = 4*t. List the prime factors of g.
43
List the prime factors of 8202/10 + 39/(-195).
2, 5, 41
Let t = -5929 - -10453. List the prime factors of t.
2, 3, 13, 29
Let b(f) = 42*f + 585. What are the prime factors of b(9)?
3, 107
Let c(y) = y**3 - 2*y**2 - y - 242. Let v be c(0). Let b = -138 - v. What are the prime factors of b?
2, 13
Let q = -17 - -52. Let g be (-3)/(1/(-2) + (-1)/2). Suppose 4*b + 5*y = q, -g*b - 3*y = 2*y - 25. What are the prime factors of b?
2, 5
Suppose 164 = 5*w + h, 0*h = -w - 2*h + 31. Let n = 0 + 2. What are the prime factors of ((-88)/w)/(n/(-6))?
2
Let t = 1051 - 307. What are the prime factors of t?
2, 3, 31
Suppose 38*i - 5715 = 29*i. List the prime factors of i.
5, 127
Suppose 4*w = -3*h + 3584, 2*h - 1121 = -w + 1275. List the prime factors of h.
2, 3, 5
Suppose 0*f - f = -5. Let j(h) = h**3 + 2 - 2*h - 53*h**2 + 26*h**2 + 23*h**2. List the prime factors of j(f).
17
Let a = -184 - -545. List the prime factors of a.
19
Suppose 2*z - 1 - 81 = 0. Suppose 3*b - z = 2*b. List the prime factors of b.
41
Let v = 107 - 71. Suppose -v = -0*d - 3*d. Suppose 8*m + 144 = d*m. What are the prime factors of m?
2, 3
Let z(v) = 4*v**3 + 10*v**2 + 8*v + 5. Let a be z(-7). Let c be a/(-11) - 10/(-55). Suppose -8*b + 3*b + c = 0. What are the prime factors of b?
17
Suppose -m = -3*w + 922, -6*w + 3*m + 294 = -5*w. What are the prime factors of w?
3, 103
Let x(v) = 13*v**2 + 4*v - 10. Let s be x(-5). Let r = s - 108. List the prime factors of r.
11, 17
Let k(y) = -4 + 5*y**2 + 7*y**2 + 3*y - 8 + 3. What are the prime factors of k(3)?
2, 3
Suppose 0 = 3*o - 306 - 408. Suppose -o = -4*s + 406. Suppose 5*h + 36 = s. List the prime factors of h.
5
Suppose 0 = 15*s - 3787 - 413. What are the prime factors of s?
2, 5, 7
Suppose y - 63 = -b, 0*y + 2*b = 4*y - 282. Suppose -20 - y = -x. List the prime factors of x.
2, 11
Suppose -f + 4 = 2*g, -2*f + 4*f - 9 = -5*g. Suppose f*j - 107 = 53. Let t = -28 + j. What are the prime factors of t?
2, 13
Let t = 62 + -141. Let u = -14 - t. List the prime factors of u.
5, 13
Let y = 392 - 200. Let k(w) = -6*w**2 - 3*w - 2. Let c be k(-5). Let q = c + y. List the prime factors of q.
5, 11
Suppose 9*j + 55 = 10*j. What are the prime factors of j?
5, 11
Suppose -5*p + 4*p + 2 = 0. Suppose -p*x + 0 + 8 = 0. Suppose -x*l + 13 = -3. List the prime factors of l.
2
Let o(u) = 1403*u**2 + 4*u - 2. What are the prime factors of o(1)?
5, 281
Let y = -15 + 19. Let v(o) = 18*o - 7. What are the prime factors of v(y)?
5, 13
Let k(b) = -12*b - 6. Let z be k(-5). Suppose -c + z = -3*h, -c + 6*c = 2*h + 322. What are the prime factors of (-3 + c/4)*4?
2, 3
Let k(z) = 2*z**3 + 10*z - 3*z**3 + 14 + 2*z**3 - 5 + 10*z**2. Let w be k(-7). Suppose -5*n + w = -79. What are the prime factors of n?
3, 11
What are the prime factors of 14/7*(-4 - 818/(-4))?
401
Let z(s) = 90*s - 79. What are the prime factors of z(8)?
641
Let l(u) be the first derivative of -u**2 + 16*u + 12. Let m be l(7). Suppose 5*a = 5, a = m*q + 4*a - 147. What are the prime factors of q?
2, 3
Let f = 53 + -57. What are the prime factors of (f/12)/((-3)/225)?
5
Let t be -1*(-2)/4 - 171/(-6). Suppose 2*a - 60 = -q + t, -2*q + 3*a = -171. List the prime factors of q.
3, 29
Let w be (-294)/(-3) - (-10)/(-5). Suppose -2*j = -5*r - w - 64, -2*r = 5*j - 342. What are the prime factors of j?
2, 5, 7
What are the prime factors of (3 + -1 + -8)*241218/(-324)?
3, 1489
Suppose 6 = j + 4. Suppose -2*u = 5*l - 477, -l = l + j*u - 186. List the prime factors of l.
97
Suppose -5*j = 3*p - 40, p - 35 = -4*p - 2*j. Let w(s) = s**3 - 5*s**2 + 8*s - 3. List the prime factors of w(p).
37
Let p(o) = -4*o - 215. Let w(b) = -b - 54. Let j(i) = 2*p(i) - 9*w(i). Let t be (9/(-3) - -3)*1. List the prime factors of j(t).
2, 7
What are the prime factors of 90063/21 - -6*11/231?
4289
What are the prime factors of (389/2 - -3)*1100/125?
2, 11, 79
Let u(h) = h**3 - 11*h**2 + 15. Let z(n) = -3*n**3 + 31*n**2 + n - 44. Let d(w) = -8*u(w) - 3*z(w). What are the prime factors of d(9)?
3, 103
Let f = -113 + 106. Let q(v) = 2*v**2 + 16*v + 41. What are the prime factors of q(f)?
3
Let p be 6 + (0 - (0 + 4)). Let w(a) = 11*a**p + 2 + 0 - 10*a + a**3 - 4*a**2 + 9. List the prime factors of w(-8).
3
Let r(m) = -5 - 13 + 27*m - 30*m. What are the prime factors of r(-18)?
2, 3
Suppose 0 = 5*l - 5, 0*l - 518 = t + 4*l. Let b = -267 - t. List the prime factors of b.
3, 5, 17
Suppose 0*n - 156 = -4*n. Let j = n + -34. List the prime factors of j.
5
Let l = 618 + -376. What are the prime factors of l?
2, 11
Let t(g) = -2*g**3 + 3*g**2 - 14*g + 18. What are the prime factors of t(-8)?
2, 673
List the prime factors of -5*(-10)/(-25) + (2 - -940).
2, 5, 47
Let b be 1676/(-14) - (-6)/(-21). List the prime factors of -3*((-4)/9)/((-16)/b).
2, 5
Let k be (-1 + -2)*(-28)/(-21). Let d be (-1 + 0)/((-3)/33). Let i = d - k. List the prime factors of i.
3, 5
List the prime factors of (-7 - (0 - 0)) + 1070.
1063
Let v = 8 + -6. Let g be (-5 + 5)*(-1)/2. Suppose g = -4*x + 2*p - p + 51, -2*x + v*p = -18. What are the prime factors of x?
2, 7
List the prime factors of 4516 - (-9)/((-81)/( | {
"pile_set_name": "DM Mathematics"
} |
= 73 + -65. Which is the second smallest value? (a) 1 (b) g (c) 4/5
a
Let x = 12888 + -64764/5. Let z = 65 + x. What is the second smallest value in 3, z, -4?
z
Let v be 6/(-16)*(-2 + 136/60). What is the second smallest value in -0.5, v, -5?
-0.5
Let f = -5.8 - -7.8. What is the second biggest value in 5, f, 3/5, -2?
f
Let n = 6.14 + -0.14. Let s = 6.11 - 0.51. Let d = s - n. Which is the third biggest value? (a) -0.3 (b) d (c) 4
b
Let n = 1 + 2. What is the second smallest value in 1, n, -0.4?
1
Suppose 3*k + 8 = n, 4 = 5*n - 5*k - 26. Let o = -57/13 + 617/117. Let t = o - 14/9. Which is the second biggest value? (a) -3/2 (b) t (c) n
b
Let p = 1.85 + -1.35. Which is the second smallest value? (a) -1 (b) -1/2 (c) -0.4 (d) p
b
Suppose 0 = -0*n - 3*n + 12. Let x be (n/(-10))/(9/15). Let v be (-6)/((-2)/(-4)*-3). What is the second smallest value in x, -3/7, v?
-3/7
Let l be (-6)/9*(-12)/32. Which is the smallest value? (a) -0.1 (b) -1/2 (c) l
b
Suppose -2*y = 1 + 7. Which is the third smallest value? (a) y (b) 4 (c) 2/3
b
Let o be ((-2)/(-78))/(17/102). What is the biggest value in -0.4, o, 2, -2?
2
Let d = 15 - 15.5. Let m = d + 0.2. What is the biggest value in 0.2, -0.4, m?
0.2
Let w = 0.25 - 0.05. Let q = w - 0.3. Let x = -0.1 + 1.1. What is the second biggest value in 0.2, x, q?
0.2
Let b = -1135/9 + 125. Let k = -47/18 - b. What is the biggest value in k, -1, 0.5?
0.5
Let u = 79 - 79. Which is the third smallest value? (a) 0.2 (b) u (c) -15 (d) 0.4
a
Let j(d) = d**3 - 5*d**2 - 3*d - 14. Let r be j(6). Which is the third smallest value? (a) -2/3 (b) r (c) -5
b
Let u = -7 - -6.7. Let t = 14 - 14.2. Let n = t - u. Which is the second smallest value? (a) 3 (b) n (c) -0.5
b
Let w = -297824/172637 - -6/5953. Let j = -524/203 - w. Which is the third smallest value? (a) j (b) -1 (c) -0.05
c
Let s = -10/3 - -11/6. Let h = 8 - 54/7. Which is the third biggest value? (a) 4 (b) h (c) s
c
Let x(p) = p**2 + 2*p - 5. Let d be x(-4). Let z be ((-12)/(-10))/d*-5. Let w be 8 - 1 - (0 - z). What is the third smallest value in w, -1, -0.5?
w
Let q = -0.06 + -4.94. Suppose 0 = -2*j - 0*j + 5*d + 17, 0 = -4*j - 5*d - 11. Let n be 0/j + 16/40. What is the third smallest value in q, 2/19, n?
n
Let p be 3/2*24/108. Let n = 0.01 - -2.99. Let z = -0.01 - 1.99. Which is the third smallest value? (a) p (b) n (c) z
b
Let v = -823/11 - -75. Let n be 2/(-9) + 60/27. Let h be (0 - 1 - n)/1. What is the second biggest value in h, v, -4?
h
Let q = 60 - 477/8. Which is the second biggest value? (a) -1/7 (b) q (c) 4
b
Let x = -6 + 5.6. Let t = x - 0.1. Let s = t + 5.5. Which is the second smallest value? (a) -0.5 (b) s (c) -1
a
Suppose -4*u + j = -4*j + 9, -7 = 5*u - 2*j. Let q = -6 - -4. Let t = 848/11 - 77. What is the third biggest value in q, u, t?
q
Let x be 39/(-145) + (-4)/(-20). Let s be ((-12)/(-87))/(5/17). Let g = s + x. What is the second smallest value in -5/6, g, -0.2?
-0.2
Let v = 1 - 0. Let n = v - 2. Let r = 5 + n. Which is the third smallest value? (a) -2/3 (b) r (c) 0.4
b
Let g = -1.37 - -1.3. Let w = -3.93 + g. What is the biggest value in -1/4, w, 2/7?
2/7
Let w = 55 - 109/2. Let r = 174/11 + -16. What is the second smallest value in r, 2, w?
w
Let f be -1 - 1/(1/(-3)). Suppose -n = -0*n + f. Which is the third smallest value? (a) n (b) 0.4 (c) 1
c
Let h = -18.9 + 2.9. Let w = 23 + h. Let m = -10 + w. What is the second biggest value in 1, m, 1/3?
1/3
Let t be (-4 - -1) + -2*1. Let s be 6/40 - (-2)/t. Let w = -0.2 + -0.3. Which is the biggest value? (a) w (b) s (c) -1/7
c
Let s = -1226/357 + 60/17. Which is the smallest value? (a) -2 (b) -0.5 (c) s
a
Let a be (-1 + 74/(-2))/3. Let s = a + 13. What is the third biggest value in s, 0, 3/2?
0
Let d = 0.05 + 0.35. Suppose 0 = 3*m - m - 2*i + 4, i = -2. Which is the second smallest value? (a) d (b) m (c) -1/4
c
Let f be ((-7)/21)/((-38)/(-12)). What is the third biggest value in 1/3, -1/2, f?
-1/2
Let r = 5.169 + -0.169. Which is the smallest value? (a) -34 (b) 0.5 (c) r
a
Let h = -46 + 321/7. What is the biggest value in h, 0, 11?
11
Let g = 1.43 + 3.57. Which is the third smallest value? (a) g (b) 9 (c) 1/4
b
Let o = -1/10 - 1/15. Let r = o - -1/2. Let m(i) = -5*i**2 + 1. Let v be m(-1). What is the third biggest value in 0, r, v?
v
Let o = -13 + 12.6. Which is the smallest value? (a) o (b) -5 (c) -0.5
b
Let x = 15 + -10. Let k = 50 - 253/5. What is the third smallest value in x, k, 0.5?
x
Let k = 587/7 - 84. What is the smallest value in k, 2, -1/3?
-1/3
Let u(q) = -q**3 + 9*q**2 + 3. Let p be u(9). Which is the third biggest value? (a) -1 (b) -0.3 (c) p
a
Let k be ((-4)/12)/(1/(-2) - 4). What is the smallest value in k, 4, -3?
-3
Let h = 179 + -892/5. What is the biggest value in -2/3, 4, h?
4
Let m = 8 + -11. Let v = 7 + m. Let d = v - 1. Which is the smallest value? (a) 0.1 (b) -4 (c) d
b
Let z = 659/1115 - -2/223. Which is the second biggest value? (a) -3/2 (b) 3 (c) z
c
Let y be -2*(3 - 14/4). Let w = -6 + 6.1. What is the second biggest value in -2/15, w, y?
w
Let s = 0.006 - -0.394. Let i = 0 + -1. What is the biggest value in i, s, -5/4?
s
Let s be ((-1)/14)/(1/(-12)). Let g = 0.07 + -6.07. Let w = -5.6 - g. What is the third biggest value in s, 1, w?
w
Suppose -3*h = 2*h - 10. Let r = -42 - -211/5. Which is the biggest value? (a) 0.5 (b) r (c) h
c
Let a = 1.1 + 0.9. Let y = -2.8 - -3. What is the third biggest value in y, 5, a?
y
Suppose 4*n = -3*l - 34, -l + 5*l - 27 = 5*n. Let p = n - -7. Which is the second smallest value? (a) -0.4 (b) p (c) 1/3
b
Let o = 4 - 4.02. Let x = 6.98 - o. Let d = x + -8. Which is the smallest value? (a) -2/5 (b) 1/4 (c) d
c
Let u(n) = -n - 1. Suppose 5*r - 20 = -0. Let s be u(r). Let o = 1.5 + -2. Which is the third smallest value? (a) s (b) o (c) -0.3
c
Suppose -2*d - d = 3. What is the smallest value in 4, d, 5?
d
Let p = 82 + -87. What is the second smallest value in -1/4, 0.4, p, -1/2?
-1/2
Let a = -0.02 - -4.02. Let r be 27/(-30) - (-4)/10. What is the smallest value in r, a, -2/7?
r
Let v(s) be the second derivative of -23*s**3/6 - 3*s**2/2 + s. Let j be v(-3). Let t = j + -135/2. What is the smallest value in t, 1, 2/3?
t
Let r = -5 - -5. Suppose 20 = -5*i - r, p + 2*i = -9. Which is the second smallest value? (a) 2/9 (b) p (c) 3
a
Let q = -19/18 + -4/9. Let c = 7.97 + 0.03. Let j = c - 6. What is the second biggest value in -0.4, j, q?
-0.4
Let y = -0.5 - 0.5. Let j = 0.9 + y. Let v be (-2)/(-12) + (-1)/(-3). What is the second biggest value in v, j, -4?
j
Let m = 1 - 1.1. Let x = 23 - 18.9. Let p = -0.9 - x. Which is the smallest value? (a) p (b) -2/5 (c) m
a
Let a be 3/9*(-2 - 0). What is the third smallest value in 5, a, -4?
5
Let q(r) = -3*r**2 - 3*r. Let y be q(3). Let l be (-1 + 2/8)*y. Let p = l + -83/3. Which is the biggest value? (a) p (b) -1/6 (c) 2/15
c
Suppose -2*z - 74 + 10 = 0. Let o = -57 - z. Let t be (4/o)/2*5. Which is the second smallest value? (a) t (b) -1 (c) 1/3
a
Let y = 3 + -3. Let h be (-4)/((-6)/(-2) - 0). Which is the smallest value? (a) -0.4 (b) y (c) h
c
Let q = 56 + 19. Let k = 906797/11 + -82361. Let g = q - k. What is the smallest value in 0, 2, g?
g
Let i = 20 - 16. What is the biggest value in i, -0.4, 2?
i
Let q = 0.008 - -0.992. Let a = -1.94 + -0.06. What is the second biggest value in -3/5, q, a?
-3/5
Let i = -2 + 2. Let m = 254 + -251. What is the third biggest value in -4, m, i?
-4
Suppose 4*q = 2*p - 28, 4 = p - 5*q - 25. Let k = 0.334 - 4.334. What is the third smallest value in 2/7, p, k?
p
Let u = 37/198 + -5/18. Let n = -61/4 - -16. Which is the third biggest value? (a) u (b) -3/5 (c) n
b
Suppose -16 = v - 5*v. Let n be (-1)/v + 8/288. Which is the third biggest value? (a) n (b) -2/11 (c) -6
c
Let x = -0.8 + 2.8. Let z be (3 + 2 + -11)*1. Let r be z/9*3/7. What is the biggest value in r, x, -1/2?
x
Let i be 0/(-6 - -2) - -3. Which is the third biggest value? (a) -3 (b) i (c) 0
a
Suppose 0 = -2*h + h. What is the third smallest value in -13, h, 3?
3
Let m = -1.1 + 12.6. Let p = -11 + m. Let b = -5.3 + 5. What is the third smallest value in b, p, 0?
p
Let v(g) = 6*g - 6 + 4 + g**2 - 7. Let w be v(-7). | {
"pile_set_name": "DM Mathematics"
} |
7. Suppose q = -2*q - 18. Let a(w) = w - 6. Let s(b) = q*u(b) - 17*a(b). Let z(l) = -2*l**2. Determine z(s(t)).
-2*t**2
Let y(n) = 10*n**2 - 6*n - 6. Let j(c) = 29*c**2 - 17*c - 17. Let d(q) = -6*j(q) + 17*y(q). Let u(w) be the second derivative of w**3/6 - w. Give d(u(g)).
-4*g**2
Let r(s) = -108*s**2. Let v(x) = -3*x**2. Calculate r(v(i)).
-972*i**4
Let w(a) = 13*a**2 + a. Let m(o) = 6*o + 6. Determine w(m(k)).
468*k**2 + 942*k + 474
Let z(j) = -453*j + 2. Let s(i) = -i**2. Determine s(z(o)).
-205209*o**2 + 1812*o - 4
Let d(l) = 459*l**2 - 102*l + 51. Let k(s) = -46*s**2 + 10*s - 5. Let h(w) = 5*d(w) + 51*k(w). Let b(z) = z**2. Determine h(b(v)).
-51*v**4
Let w(a) = 3*a**2 - a**2 - a**2. Let n(h) = -5*h**2. Determine n(w(y)).
-5*y**4
Let i(z) be the third derivative of -1/12*z**5 - 4*z**2 + 0*z**3 + 0*z + 0*z**4 + 0. Let a(x) = -x. Give a(i(o)).
5*o**2
Let t(i) = -i**2 - 7*i**2 + 6*i**2 + 3*i**2. Let q(h) = 16*h**2. Give t(q(b)).
256*b**4
Let u(z) = 2*z. Let h(b) be the first derivative of -1 + 4*b - 1/2*b**3 + 0*b**2. Let j(n) be the first derivative of h(n). What is j(u(i))?
-6*i
Let b(g) be the second derivative of g**3/6 + 15*g. Let s(a) = -a**2 + a - a. Give s(b(h)).
-h**2
Let x = -8 + 17. Let l(z) = -7*z + 1 + x*z - 1. Let c(a) = -5*a**2. Calculate l(c(y)).
-10*y**2
Let m(n) = 7*n**2 - 6*n - 6. Let h(i) = i**2 - i - 1. Let q(o) = -6*h(o) + m(o). Let j = 8 - 6. Let c(a) = 6*a - a - j*a - a. Determine q(c(t)).
4*t**2
Let p(w) = -23*w**2. Let j(x) = -12*x**2. What is p(j(h))?
-3312*h**4
Let j(q) = 7*q**2. Let b(l) = 68*l**2. Determine j(b(m)).
32368*m**4
Let u(f) be the third derivative of f**5/15 + 24*f**2. Let t(a) = -9*a**2. What is t(u(b))?
-144*b**4
Let h(s) = s. Let q(i) be the second derivative of i**6/360 - i**3/2 - 3*i. Let y(n) be the second derivative of q(n). Calculate y(h(w)).
w**2
Let b(p) = 247*p. Let s(v) = v**2. What is b(s(o))?
247*o**2
Let d(g) be the first derivative of g**3/3 - 108. Let f(a) be the first derivative of -3*a**2/2 + 1. Give d(f(o)).
9*o**2
Let r be (-2 + -1 + 1)/(-3). Let j(q) be the first derivative of -1 + 0*q + r*q**3 + 0*q**2. Let x(u) = u. What is j(x(s))?
2*s**2
Suppose d + s + 6 - 2 = 0, 3*d + 22 = -5*s. Suppose 2*c = d + 3. Let g(q) = -q + 0*q - 4*q - c*q. Let a(p) = 2*p**2. What is g(a(k))?
-14*k**2
Let g(u) = 2*u**2. Let o(a) = 4050*a**2. What is g(o(k))?
32805000*k**4
Let i(p) = -13*p + 9. Let o(z) = 6*z - 4. Let b(x) = 4*i(x) + 9*o(x). Let t = 24 + -19. Let a(v) = 60 - t*v - 60. Give a(b(l)).
-10*l
Let a(h) = -84*h. Let p(c) = c. Calculate a(p(k)).
-84*k
Let y(b) = b**2. Let z(r) = 11*r**2 - 2. What is z(y(q))?
11*q**4 - 2
Let g(c) = 5*c - 5. Let l(y) = -11*y + 11. Let q(k) = 13*g(k) + 6*l(k). Let w(s) = -1. Let b(a) = q(a) + w(a). Let j(z) = -2*z**2 + 0*z + 0*z. Give b(j(p)).
2*p**2
Let v(z) = -z. Let q(x) = x. Let l(p) = 5*p. Let o(s) = 6*l(s) - 25*q(s). What is v(o(b))?
-5*b
Let s(y) = -17*y + 9. Let q(z) = 4*z - 2. Let p(d) = -9*q(d) - 2*s(d). Let a(j) be the first derivative of 4*j**3/3 + 1. What is p(a(g))?
-8*g**2
Let k(y) = -2*y**2. Let w(n) = 3*n**2 + 17. What is w(k(b))?
12*b**4 + 17
Let o(g) = -10*g. Let h(u) = -u**3 + 5*u**2 - 3*u - 2. Let v be h(4). Let l(t) = -2 + 2 + t**v. What is l(o(p))?
100*p**2
Let z(i) = 18*i**2. Let l(y) = -29*y - 2. Give z(l(k)).
15138*k**2 + 2088*k + 72
Let x(d) = -4 - 2*d + 4*d + 4. Let u(p) = -7*p. Determine u(x(h)).
-14*h
Let f(r) = -39*r. Let u(g) = 40*g. Let h(v) = -2*f(v) - 3*u(v). Let k(x) = -x. Calculate k(h(m)).
42*m
Let x(r) be the third derivative of r**6/360 + r**4/24 - 2*r**2. Let a(w) be the second derivative of x(w). Let k(l) = -l**2 - 5*l**2 + 4*l**2. What is a(k(n))?
-4*n**2
Let k(d) be the first derivative of d**4/8 - 3*d**2/2 + 4. Let u(w) be the second derivative of k(w). Let a(h) = 2*h**2. Calculate u(a(m)).
6*m**2
Let f(n) = 6*n. Let d(t) = -t**2 - t + 1. Let h(l) = -6*l**2 + l - 1. Let s(a) = d(a) + h(a). What is s(f(z))?
-252*z**2
Let y(v) be the third derivative of v**4/12 - 4*v**2. Let p(i) = 8*i**2. Determine y(p(j)).
16*j**2
Let n(r) = 2*r**2. Let s(t) = 2*t + 3. Let k(q) = -2*q - 8. Let i be k(-3). Let b(f) = f + 2. Let m(o) = i*s(o) + 3*b(o). Give n(m(h)).
2*h**2
Let p(f) = 3*f. Let m(h) = 97*h**2 + 2*h. Calculate m(p(c)).
873*c**2 + 6*c
Let r(u) = -u**2. Let m(v) = 11110*v. What is r(m(l))?
-123432100*l**2
Let q(t) be the second derivative of t**3/3 - 3*t + 31. Let l(h) be the third derivative of 7*h**5/30 + h**2. Determine q(l(w)).
28*w**2
Let r(k) = -46 - 5*k + 46. Let d(m) be the second derivative of 7*m**3/6 - 2*m. Let w(j) = -13*j. Let i(z) = -11*d(z) - 6*w(z). Give r(i(c)).
-5*c
Let b(y) be the second derivative of -1/6*y**4 + 0 - 2*y + 0*y**3 + 0*y**2. Let o(r) be the third derivative of r**5/60 - 2*r**2. Calculate b(o(t)).
-2*t**4
Let i(n) be the first derivative of 2*n**3/3 - 3. Let z(p) = 4*p. What is i(z(j))?
32*j**2
Let m(v) = -v. Let y(h) = -3*h - 4. Let n = -3 + 4. Let k be ((-2)/(-4))/(n/2). Let a(l) = -l - 1. Let o(u) = k*y(u) - 4*a(u). What is o(m(i))?
-i
Let g(r) be the third derivative of r**5/120 + r**3/3 - r**2. Let q(d) be the first derivative of g(d). Let z(b) = 3*b. Give q(z(s)).
3*s
Let t(s) = -16*s. Let w(n) = -67 + n + 67. Determine t(w(d)).
-16*d
Let a(d) be the second derivative of d**3 - d. Let m = -2 - -4. Let q(o) = -334*o + 2*o**m + 334*o. Calculate q(a(w)).
72*w**2
Let p(b) be the third derivative of 0*b**4 + 0 + 0*b + 1/20*b**5 + 0*b**3 + 2*b**2. Let l(m) = -2*m**2. Give l(p(u)).
-18*u**4
Let a(p) = -4*p**2 + p**2 + 4*p**2. Let b(t) = -28*t. Give b(a(l)).
-28*l**2
Let b(o) = -o**2 - 12 + 12 - 3*o**2. Let l(n) = n. What is l(b(x))?
-4*x**2
Suppose 3*x + 9 = 2*r - 7, 4*r = 3*x + 20. Let v(o) = 8*o**r + o**2 - 4*o**2. Let j(y) = -y. Calculate j(v(l)).
-5*l**2
Let b(w) = w. Let z(t) = -237*t + 5. Determine z(b(p)).
-237*p + 5
Let r(j) be the second derivative of j**3/6 + 4*j. Let g(v) = -2*v**2 + 5. Let l(m) = -2*m**2 + 4. Let d(q) = 4*g(q) - 5*l(q). Give r(d(x)).
2*x**2
Let z(a) = 16*a**2 + 7*a + 7. Let i(f) = 11*f**2 + 5*f + 5. Let y(w) = -7*i(w) + 5*z(w). Let p(s) = 20*s**2. Give p(y(r)).
180*r**4
Let k(p) = 8 - 8 + 2*p**2. Let m(q) = 14*q**2 - 11. Let l(v) = 5*v**2 - 4. Let j(f) = 11*l(f) - 4*m(f). Give j(k(s)).
-4*s**4
Let s(z) = z + 4. Let i be s(-10). Let m(b) = -4*b**2 - 6*b. Let v(o) = -11*o**2 - 17*o. Let w(c) = i*v(c) + 17*m(c). Let d(j) = -18*j. Determine d(w(q)).
36*q**2
Let i(l) = -4*l**2. Let r(z) be the third derivative of -z**5/30 + 9*z**2. Determine r(i(f)).
-32*f**4
Let c(y) = 16*y**2. Let w(h) = h - 1. Let u(r) = -1. Let t(l) = 2*u(l) - 2*w(l). Give c(t(k)).
64*k**2
Let r(l) = 10*l**2 + 4. Let g(m) = -m**2. What is g(r(p))?
-100*p**4 - 80*p**2 - 16
Let j(s) be the second derivative of -s**7/504 - 7*s**4/12 + 2*s. Let u(n) be the third derivative of j(n). Let p(l) = -3*l**2. Give p(u(t)).
-75*t**4
Let q(g) = -g**2 - 13*g. Let f(s) = -2*s. Let y(u) = 39*f(u) - 6*q(u). Let n(z) = -4*z. Determine n(y(v)).
-24*v**2
Let h(r) = -2*r**2. Let g be ((-4)/(-3))/(-1)*3. Let u(c) = -c + 1. Let y(v) = -6*v + 4. Let t(m) = g*u(m) + y(m). What is h(t(k))?
-8*k**2
Let t(q) be the second derivative of q**4/12 + q**2 - q. Let c(j) = -2*j**2 - 5. Let s(b) = -2*c(b) - 5*t(b). Let r(d) = 3*d**2. What is s(r(h))?
-9*h**4
Let s(m) = -3*m**2. Let r(t) be the first derivative of 13*t**2 - 42. Give s(r(d)).
-2028*d**2
Let i(f) = -214*f**2. Let l(x) = 2*x. What is l(i(t))?
-428*t**2
Let s(y) = -19*y - 2. Let m(l) = -178*l**2. Determine s(m(u)).
3382*u**2 - 2
Let x(w) = -8*w**2. Let k(y) = -19*y. Give k(x(h)).
152*h**2
Let g(p) = p**2 + 3*p**2 - 2*p**2 + p**2. Let s(x) = -2*x - 3. Let c(h) = -11*h - 17. Let z(w) = -6*c(w) + 34*s(w). Give z(g(v)).
-6*v**2
Let l(i) = 3*i**2. Let d(o) = -59*o**2. Determine l(d(p)).
10443*p**4
Let b(i) = 2*i**2. Let d(c) = -27823*c. Give b(d(j)).
1548238658*j**2
Let n(r) = 9*r - 8. Let t(o) = 6*o - 5. Let a = 5 + 3. Let u(m) = a*t(m) - 5*n(m). Let y(s) be the first derivative of 2*s**3/3 + 16. What is y(u(p))?
18*p**2
Let f(l) = -l + 11. Let n be f(6). Let a(r) = 2*r + 14. Let g be a(-6). Let q(u) = u**2 + 2*u**2 - n*u**g. Let b(o) = 2*o. What is b(q(d))?
-4*d**2
Let h(x) = 7*x. Let j(l) = -l + 1. Let q(r) = -320*r + 384. Let d(s) = -384*j(s) + q(s). Let k(z) = 3*d(z | {
"pile_set_name": "DM Mathematics"
} |
+ 2 wrt d.
16200*d**3 - 301560*d**2
Differentiate -26878*m**3 - 4933 wrt m.
-80634*m**2
What is the derivative of 2*g**2*p*z - 35*g**2 - 86*g*p*z + 108*p - 17*z wrt z?
2*g**2*p - 86*g*p - 17
Differentiate -2145194*k**2 - 648139 with respect to k.
-4290388*k
What is the third derivative of 16*h**2*k**2*r**3 + 2*h**2*k**2*r + 25*h**2*k**2 + 2*h**2*k*r**2 - 7279*h**2*r**3 - 132*h*k**2 + 2*h*r**2 + 5*h wrt r?
96*h**2*k**2 - 43674*h**2
What is the first derivative of 7*c**3 - 2*c**2 - 75*c - 512461 wrt c?
21*c**2 - 4*c - 75
Find the second derivative of f*g - 21*f*h**2 + 3*f - 1157*g*h**2 + 7628*g*h wrt h.
-42*f - 2314*g
Find the second derivative of -b**4 - 6219*b**3 + 39*b**2 - 4767*b + 76.
-12*b**2 - 37314*b + 78
What is the third derivative of -193382*j**4 + 17554*j**2 + j - 3 wrt j?
-4641168*j
What is the third derivative of -13*q**5 + 216*q**4 + 18*q**3 - 36*q**2 + 4*q - 1250 wrt q?
-780*q**2 + 5184*q + 108
Find the third derivative of -128436*u**3 + 47*u**2 - 367*u wrt u.
-770616
Find the first derivative of 656065*k**2 - 1179925 wrt k.
1312130*k
What is the derivative of -14*c**4*v - 337*c*v - 209*v - 75 wrt c?
-56*c**3*v - 337*v
What is the second derivative of 493655*l**3*p**3 + 92*l**3*p - 2*l**3 - 7*l**2*p - 6*l wrt p?
2961930*l**3*p
Find the second derivative of -8*v**2*y**4 - 19*v**2*y + 797*v**2 - 2861*v*y**5 wrt y.
-96*v**2*y**2 - 57220*v*y**3
Differentiate -582*v**2 - 15*v + 168911 wrt v.
-1164*v - 15
Find the second derivative of -16*t**3*w + 20166*t**2*w + 764031*t*w wrt t.
-96*t*w + 40332*w
What is the third derivative of q**6 + 116*q**4 - 1112*q**3 + 3*q**2 + 6582*q + 1 wrt q?
120*q**3 + 2784*q - 6672
What is the third derivative of -839489*h**6 + 276630*h**2 - 3*h wrt h?
-100738680*h**3
What is the first derivative of -9*n**4 + 1177*n**2 - 225116?
-36*n**3 + 2354*n
Find the second derivative of 5*a**3*t**2 + 1346*a**3 + 10*a**2*t + 2*t**5 - 34141*t**2 + 3*t wrt t.
10*a**3 + 40*t**3 - 68282
Find the second derivative of 12289*b**2*d*l**2 - 23*b**2*d - 71*b*d*l + b - 320*d*l**2 wrt b.
24578*d*l**2 - 46*d
What is the second derivative of 4*i*o**3*t**2 + 11*i*o**2*t + 12*i*o**2 + 29923*i*o*t**2 - 45*i*t - 2*o**3*t - 2*o*t - 4*o - 2*t**2 wrt t?
8*i*o**3 + 59846*i*o - 4
What is the third derivative of -25046*r**4 + 1073*r**2 + 3*r wrt r?
-601104*r
What is the third derivative of -21*q**3*y**3 + 63*q**3 + 304*q**2*y**3 - 53*y**2 wrt y?
-126*q**3 + 1824*q**2
What is the first derivative of 588*d**2 - 2858*d*w**3 + 725058*w**3 wrt d?
1176*d - 2858*w**3
Find the second derivative of 20*f**2*l**2 - 2*f**2*l + 2*f**2 - 153*f*l**2 + 2*l**2 - 195*l wrt l.
40*f**2 - 306*f + 4
Find the second derivative of 1910*b**3*d**4 + 15*b**3 + 10*b**2*d - 56*b*d**2 + 127*d wrt d.
22920*b**3*d**2 - 112*b
Differentiate j**3*n*r - 1506*j**3*n + 11*j**3 - 13*j**2*n*r + 7*j*r + 1341*j with respect to n.
j**3*r - 1506*j**3 - 13*j**2*r
Differentiate 19*t**4 - 41314*t**2 - t - 4123934 wrt t.
76*t**3 - 82628*t - 1
Differentiate -348370*j - 86821.
-348370
Find the third derivative of 2*b**4 + 1292231*b**3 - 3046649*b**2 wrt b.
48*b + 7753386
What is the second derivative of -276209*l**3 - 1172776*l wrt l?
-1657254*l
What is the first derivative of 19*b**4 - 5*b**3 + 754*b**2 + 2194099?
76*b**3 - 15*b**2 + 1508*b
Find the first derivative of -3961439*l*u**2*x - l*u**2 + 2*l*x - 275*u**2 - 2546*u*x - 2 wrt l.
-3961439*u**2*x - u**2 + 2*x
Find the second derivative of -6*o*r**3 + 480*o*r + 7*o - 40525*r**3 + 6 wrt r.
-36*o*r - 243150*r
What is the third derivative of -79445*g**3 - 48160*g**2 - 7*g?
-476670
What is the third derivative of 503250*j**4 - 85*j**2 - j + 211 wrt j?
12078000*j
What is the second derivative of -28*v**2*x**3 - v**2*x**2 + 3*v**2*x - 650*v**2 + v*x**3 - 10*v*x**2 - 2*v*x + 3*x - 54 wrt v?
-56*x**3 - 2*x**2 + 6*x - 1300
What is the derivative of -88*v**3 + 2*v**2 + 43*v + 169314?
-264*v**2 + 4*v + 43
What is the first derivative of -2349*u**3 + 77*u + 4108199 wrt u?
-7047*u**2 + 77
Differentiate -698*a*p**2 - a*p - 909*a - 37*p**2 - 9 with respect to p.
-1396*a*p - a - 74*p
Find the first derivative of 34948*m*o - 93941*m wrt o.
34948*m
Find the second derivative of -6*h**2*q**3 + 1551*h**2 - 2*h*q**3 + 970*h*q wrt h.
-12*q**3 + 3102
What is the third derivative of 2572591*h**3 + h**2 - 331217*h?
15435546
Find the third derivative of 2*l**5 - l**4 - 12090*l**3 - 227658*l**2.
120*l**2 - 24*l - 72540
What is the derivative of 24*m**3*p**3 - 6587*m**2 - 810*p**3 + 91*p**2 + 4*p wrt m?
72*m**2*p**3 - 13174*m
What is the first derivative of -2*b**3*n - 2*b**3 - b**2 - 1723*b*n**2 - b*n + 193*b + 3*n**2 + 18 wrt n?
-2*b**3 - 3446*b*n - b + 6*n
What is the derivative of -429173*t - 412492?
-429173
Differentiate 7776*p + 11931 with respect to p.
7776
Find the third derivative of 1546909*z**4 - 146418*z**2 - 3.
37125816*z
Find the second derivative of -16*b**2*q**2 + 2808*b**2 + 257*b*q**2 + 37*b + 3*q**2 wrt b.
-32*q**2 + 5616
Find the third derivative of -14*k**5 - 91*k**4 - 6*k**3 + 42915*k**2.
-840*k**2 - 2184*k - 36
What is the third derivative of -223193*n**4 - 2*n**2 - 294*n + 125?
-5356632*n
Find the first derivative of 76003*n**2 - 268635 wrt n.
152006*n
What is the derivative of 3094743*i**3 - 6132763?
9284229*i**2
What is the third derivative of 2*k**6 + 87*k**5 + 4*k**3 - 239368*k**2?
240*k**3 + 5220*k**2 + 24
What is the second derivative of 169*o**5 + 646*o**3 + 9*o + 21678 wrt o?
3380*o**3 + 3876*o
Find the second derivative of 2371788*p**3 - 8*p + 74867 wrt p.
14230728*p
Differentiate 7570*i**3 + 4*i - 381297.
22710*i**2 + 4
What is the first derivative of 1155394*l**3 - 1828861 wrt l?
3466182*l**2
Find the first derivative of -324*m*y**2 - 1441*m*y + 4492*y**2 - 19*y - 2 wrt m.
-324*y**2 - 1441*y
What is the third derivative of 62511*l**4 - 2*l**2 - l - 1997 wrt l?
1500264*l
What is the derivative of -2*q**4 - 1067*q**3 - 80058?
-8*q**3 - 3201*q**2
What is the derivative of -24073*c**4 - c**2 + 72871?
-96292*c**3 - 2*c
Find the second derivative of -19497*c**3 + 23662*c.
-116982*c
Find the second derivative of -350611*c**3*j**2 - 466*c**3*j - c + 9*j wrt j.
-701222*c**3
Find the third derivative of 28*r**5 - r**4 + 59*r**3 - r**2 - 147336 wrt r.
1680*r**2 - 24*r + 354
What is the second derivative of 5021*q**2 + 36391*q?
10042
What is the second derivative of 44133*k*l**3 + 4*k*l - 77758*k + 9*l**2 wrt l?
264798*k*l + 18
Find the third derivative of 2*v**6 - 5664*v**5 + 14*v**3 - 3532719*v**2.
240*v**3 - 339840*v**2 + 84
Find the second derivative of -h*q**3 + 22532*h*q**2 - 2*h*q - 169*h - 20*q + 2 wrt q.
-6*h*q + 45064*h
What is the first derivative of 2201515*l**2 - 720260?
4403030*l
Find the third derivative of -162*a*w**5 + 122*a*w**4 - 117*a*w**2 + 2*a - w**2 + w wrt w.
-9720*a*w**2 + 2928*a*w
Find the second derivative of -3500993*a**2 - 17*a - 26118.
-7001986
Differentiate -61*b*g**3*w - 3*b*g*w + 24*b*g - g**3 + 3*g**2*w - 2*g*w + 673 wrt b.
-61*g**3*w - 3*g*w + 24*g
What is the derivative of -4038497*a**2 - 4163568?
-8076994*a
Differentiate -267749*j**3*s**2 - 7*j**3 - 4*s**2 - 2*s - 39125 wrt j.
-803247*j**2*s**2 - 21*j**2
Differentiate -153*o**2*q - 42*o*q**3 - 211660*q**3 with respect to o.
-306*o*q - 42*q**3
What is the derivative of -142062*n**3 - 192856?
-426186*n**2
Find the third derivative of -517255*r**4 - 301006*r**2.
-12414120*r
Find the first derivative of 273*m**2*r**3 - 4*m**2 - 6563*m + 293*r**3 - 2 wrt r.
819*m**2*r**2 + 879*r**2
Find the first derivative of 24*m**3*y + 100960*m**3 + 12492*y wrt y.
24*m**3 + 12492
Find the second derivative of 20*l**2*m**3*y**2 - 10*l**2*m**3*y + l**2*m*y + 18*l*y + 307*m**3*y**2 - 2*m**2*y - 3*m**2 wrt y.
40*l**2*m**3 + 614*m**3
Find the third derivative of 1259357*l**4 + 133931*l**2 + 2*l.
30224568*l
Find the first derivative of 1818*l**2*n**2 + 3269*l**2 - 4*n**2 - 7*n - 43 wrt n.
3636*l**2*n - 8*n - 7
Find the second derivative of -175*v**5 - 1461*v**3 + 2*v - 532 wrt v.
-3500*v**3 - 8766*v
What is the third derivative of j**6 + 12*j**4 + 1919*j**3 + 317*j**2 - 2*j + 36 wrt j?
120*j**3 + 288*j + 11514
What is the third derivative of l**3*n*u**2 - 4*l**3*u**2 + 57441*l**3 + 13*l**2*n - 3*l**2*u + l*u**2 + 92 wrt l?
6*n*u**2 - 24*u**2 + 344646
What is the second deriv | {
"pile_set_name": "DM Mathematics"
} |
42421 composite?
True
Is 18407 prime?
False
Is 359081 composite?
True
Is 8881 a prime number?
False
Is 9851 a prime number?
True
Is 10219 a prime number?
False
Is 167639 a prime number?
False
Is 1637 a composite number?
False
Is 7451 a prime number?
True
Is 67493 a composite number?
False
Is 8159 prime?
False
Is 1469 a prime number?
False
Is 125527 a composite number?
False
Is 154433 a composite number?
True
Is 11338 composite?
True
Is 21343 a prime number?
False
Is 1456219 prime?
True
Is 1113843 a prime number?
False
Is 60361 prime?
False
Is 37079 a prime number?
False
Is 202591 a prime number?
True
Is 25841 prime?
True
Is 55271 prime?
False
Is 499819 a prime number?
True
Is 18511 composite?
True
Is 1163987 prime?
False
Is 93319 a composite number?
False
Is 578687 a prime number?
True
Is 1203329 composite?
False
Is 50929 a prime number?
True
Is 8843 a composite number?
True
Is 22049 a composite number?
True
Is 4955 prime?
False
Is 4783 a prime number?
True
Is 10369 a composite number?
False
Is 77641 composite?
False
Is 21977 a prime number?
True
Is 4387 a composite number?
True
Is 27479 composite?
False
Is 313271 a composite number?
True
Is 169429 a composite number?
True
Is 291379 prime?
False
Is 36247 composite?
True
Is 79009 composite?
True
Is 41333 a prime number?
True
Is 3251 a prime number?
True
Is 228457 a composite number?
False
Is 335239 prime?
False
Is 93361 composite?
True
Is 26879 composite?
False
Is 30083 composite?
True
Is 26309 composite?
False
Is 163783 prime?
False
Is 153658 composite?
True
Is 86231 a composite number?
True
Is 61229 a prime number?
False
Is 14717 a composite number?
False
Is 119 a composite number?
True
Is 22337 a prime number?
False
Is 664613 composite?
False
Is 5989 prime?
False
Is 10079 prime?
True
Is 116929 composite?
False
Is 70781 a prime number?
False
Is 12449 composite?
True
Is 61441 composite?
False
Is 193493 a prime number?
True
Is 110071 prime?
False
Is 205201 a composite number?
False
Is 2254579 composite?
False
Is 1302865 prime?
False
Is 121229 a prime number?
True
Is 56417 composite?
False
Is 2413 a composite number?
True
Is 48549 prime?
False
Is 698183 prime?
True
Is 7817 a prime number?
True
Is 5615 a composite number?
True
Is 15014 a composite number?
True
Is 26077 a composite number?
True
Is 41219 composite?
True
Is 3811 a prime number?
False
Is 2018 composite?
True
Is 127183 a prime number?
False
Is 40231 prime?
True
Is 288593 prime?
False
Is 438223 a composite number?
False
Is 243591 a prime number?
False
Is 56081 a composite number?
False
Is 111526 prime?
False
Is 745 a prime number?
False
Is 1991 composite?
True
Is 50989 composite?
False
Is 22963 a composite number?
False
Is 52135 composite?
True
Is 10061 composite?
False
Is 56371 a prime number?
False
Is 387161 a composite number?
False
Is 283267 a composite number?
False
Is 6499 prime?
False
Is 1236383 composite?
False
Is 82549 a composite number?
False
Is 16355 a prime number?
False
Is 689327 prime?
False
Is 37039 prime?
True
Is 60577 prime?
False
Is 10973 composite?
False
Is 48651 a prime number?
False
Is 22739 prime?
True
Is 1071599 composite?
True
Is 932303 composite?
False
Is 289027 a prime number?
False
Is 46679 a prime number?
True
Is 4609 prime?
False
Is 473933 composite?
True
Is 568147 composite?
True
Is 5297 a prime number?
True
Is 52489 a composite number?
False
Is 657523 composite?
False
Is 9863 a prime number?
False
Is 9533 a composite number?
False
Is 38693 a prime number?
True
Is 121981 a composite number?
True
Is 578399 a prime number?
True
Is 63445 a prime number?
False
Is 101017 composite?
True
Is 717661 a composite number?
True
Is 11127 composite?
True
Is 107441 composite?
False
Is 67157 a prime number?
True
Is 14519 a prime number?
True
Is 48301 a prime number?
False
Is 2386 a prime number?
False
Is 16217 prime?
True
Is 623 prime?
False
Is 41759 a composite number?
False
Is 2216989 composite?
False
Is 97117 prime?
True
Is 43657 prime?
False
Is 2933587 composite?
True
Is 10021 prime?
False
Is 39473 prime?
False
Is 15527 prime?
True
Is 226807 prime?
False
Is 240323 prime?
False
Is 5059 composite?
False
Is 60527 composite?
False
Is 136307 a composite number?
True
Is 7057 a prime number?
True
Is 6499 prime?
False
Is 31379 composite?
False
Is 191 a prime number?
True
Is 189901 a prime number?
True
Is 13553 composite?
False
Is 16177 composite?
True
Is 1769 a composite number?
True
Is 6431 a prime number?
False
Is 116329 prime?
True
Is 1044149 a composite number?
False
Is 36319 prime?
True
Is 12079 composite?
True
Is 633833 a composite number?
False
Is 139901 composite?
False
Is 78361 composite?
True
Is 2315141 a prime number?
True
Is 66437 a composite number?
True
Is 14513 a composite number?
True
Is 94595 composite?
True
Is 5926 a composite number?
True
Is 57059 prime?
True
Is 2100967 a prime number?
False
Is 4033 composite?
True
Is 869551 composite?
False
Is 696791 prime?
False
Is 29779 a composite number?
True
Is 37399 prime?
False
Is 1026331 prime?
True
Is 4789 a composite number?
False
Is 107563 composite?
False
Is 131993 composite?
True
Is 422657 a prime number?
True
Is 237 a prime number?
False
Is 587411 a prime number?
False
Is 29734 composite?
True
Is 78977 a composite number?
False
Is 165799 prime?
True
Is 611603 prime?
True
Is 69922 a prime number?
False
Is 3847 prime?
True
Is 2333 a prime number?
True
Is 2027221 composite?
True
Is 1161059 a prime number?
True
Is 30341 a composite number?
False
Is 1585279 prime?
True
Is 2827949 a prime number?
False
Is 110221 a prime number?
True
Is 325709 a prime number?
True
Is 11677 a composite number?
False
Is 872927 composite?
True
Is 456679 a composite number?
False
Is 67783 a prime number?
True
Is 354047 a prime number?
True
Is 16495 prime?
False
Is 303817 prime?
True
Is 81201 a composite number?
True
Is 83431 a prime number?
True
Is 144289 composite?
False
Is 1765 prime?
False
Is 5879 composite?
False
Is 46619 prime?
True
Is 172759 a prime number?
True
Is 24143 composite?
True
Is 6637 prime?
True
Is 21215 composite?
True
Is 4871 prime?
True
Is 20465 prime?
False
Is 89617 composite?
True
Is 285599 prime?
True
Is 11477 a composite number?
True
Is 550217 prime?
False
Is 76562 prime?
False
Is 6467 a prime number?
False
Is 32831 composite?
False
Is 62969 a prime number?
True
Is 34097 a prime number?
False
Is 13579 a composite number?
True
Is 1124393 a prime number?
False
Is 600029 composite?
True
Is 87583 prime?
True
Is 40085 prime?
False
Is 389 a composite number?
False
Is 183 a composite number?
True
Is 109627 a prime number?
False
Is 9763 a prime number?
False
Is 833969 prime?
False
Is 34094 prime?
False
Is 6067 a prime number?
True
Is 277703 prime?
True
Is 8147 a composite number?
False
Is 254119 a composite number?
False
Is 11302 prime?
False
Is 60077 prime?
True
Is 72515 a composite number?
True
Is 44095 composite?
True
Is 61219 prime?
False
Is 196201 a prime number?
True
Is 27415 a prime number?
False
Is 557261 prime?
True
Is 139703 prime?
True
Is 270563 a prime number?
True
Is 53017 composite?
False
Is 331 a composite number?
False
Is 1516607 a composite number?
False
Is 11021 a prime number?
False
Is 76367 prime?
True
Is 6521 a prime number?
True
Is 68455 prime?
False
Is 55729 a composite number?
True
Is 230999 composite?
False
Is 28387 a composite number?
False
Is 85 composite?
True
Is 28345 composite?
True
Is 7451 prime?
True
Is 913037 prime?
True
Is 126703 composite?
False
Is 25873 a composite number?
False
Is 254739 composite?
True
Is 1693 a composite number?
False
Is 3799 composite?
True
Is 58459 a composite number?
True
Is 8939 a prime number?
False
Is 19519 a composite number?
True
Is 523007 composite?
False
Is 5807 composite?
False
Is 14503 composite?
False
Is 36433 a prime number?
True
Is 13751 a composite number?
False
Is 20095 a composite number?
True
Is 44783 a composite number?
True
Is 175481 composite?
False
Is 9781 composite?
False
Is 133573 a composite number?
True
Is 8323617 prime?
False
Is 1511 prime?
True
Is 8501 a composite number?
False
Is 2813 composite?
True
Is 31471 prime?
False
Is 2231 prime?
False
Is 6121 a prime number?
True
Is 62171 a composite number?
False
Is 91717 a prime number?
False
Is 54037 prime?
True
Is 330887 a composite n | {
"pile_set_name": "DM Mathematics"
} |
-283. Let c = -37 + f. Is 13 a factor of c?
False
Let a be 2 + 1 + (-7)/7. Suppose 2*d + 42 = 4*q, -q = 3*q - 5*d - 27. Suppose w - q = l, -a*w - 43 = -5*w + 4*l. Is w a multiple of 9?
True
Suppose -5*d + 554 = 2*h - 562, -4*h + 900 = 4*d. Suppose 2*w - 5*w + d = 0. Suppose 5*f - w = 91. Does 13 divide f?
False
Let n(p) = p**3 + 6*p**2 + 2*p + 7. Let z = -18 + 13. Is n(z) a multiple of 10?
False
Suppose -5*d - 8 + 3 = 0. Let k = d + 5. Suppose 2*g - g - 30 = -h, -4*g = -k*h - 112. Does 13 divide g?
False
Is 15 a factor of (6/1)/(4/50)?
True
Let r(s) = -s**2 + 8*s - 2. Let y(x) = x**3 + 5*x**2 + x - 5. Let z be y(-4). Is r(z) even?
False
Let r = -46 - -15. Let q = 0 - r. Is q a multiple of 18?
False
Suppose 3*h + 17 = 4*y + 68, -4*h - 4*y + 68 = 0. Let v = h + 24. Is v a multiple of 13?
False
Suppose -5*u + 31 = 6. Suppose 0 = -f + u*f - 76. Is f a multiple of 6?
False
Does 24 divide (8*6)/(22/55)?
True
Let b(y) = 2*y**2 - 8*y - 33. Is b(-7) a multiple of 11?
True
Suppose 9*i = 4*i + 60. Does 8 divide i?
False
Let o(g) = -2*g**2 - 5*g + 7. Let s be o(-5). Let f(j) = 8*j + 2. Let p be f(4). Let y = s + p. Is 8 a factor of y?
True
Suppose -5*z + 4*w = -690, 6*w - 414 = -3*z + w. Does 15 divide z?
False
Suppose 5*x + 145 = 3*d, -2*d = -0*d - 3*x - 97. Is d a multiple of 10?
True
Let r(z) = -z**2 + 12*z - 18. Is 18 a factor of r(6)?
True
Let d = 15 - 4. Is 5 a factor of d?
False
Suppose -5 = 13*v - 14*v. Suppose -124 + 19 = -v*y. Is y a multiple of 6?
False
Does 5 divide 2 + (-2 - -4) - -35?
False
Let v = -67 + 94. Is v a multiple of 9?
True
Let l be 0/(6/(-9)*-3). Suppose j - 5*j + 72 = l. Does 6 divide j?
True
Let q(y) be the second derivative of 0*y**2 - 4/3*y**3 - y + 0. Is q(-2) a multiple of 16?
True
Let t = 29 + -14. Suppose a + 2*a = t. Suppose -2*l + a*l = 39. Is 13 a factor of l?
True
Suppose 2*k = 4*t - 28, 2*k + 17 = -2*k - 5*t. Let n = k - -19. Does 11 divide n?
True
Let s be 4*-3*3/(-9). Suppose -s*q = -q + 9. Is ((-16)/(-6))/(q/(-18)) a multiple of 8?
True
Suppose 2065 = 5*n + 4*v, -10*v + 5*v = 2*n - 826. Is n a multiple of 16?
False
Suppose l = 4*l - 234. Is 13 a factor of 2/(-13) - (-2586)/l?
False
Let s(k) be the first derivative of k**3/3 + 3*k**2/2 - 12*k - 1. Is s(-10) a multiple of 13?
False
Let n be 51 + (4 + -3 - 2). Let w = -25 + n. Does 14 divide w?
False
Is 16 a factor of (-958)/(-14) + (-6)/14?
False
Does 6 divide (835/90 + 6/27)*6?
False
Suppose 5*b - 10 = 0, -a - 4*a - b = -482. Is a a multiple of 32?
True
Suppose -26 = -2*g + 4*j, 3*g + 5*j = g - 19. Suppose -i + 7*v = 2*v - 1, -111 = 4*i + g*v. Is i/2*1*-1 a multiple of 6?
True
Suppose 0 = -u - 2*u - 6, 4*u + 38 = 2*m. Suppose 3*h = -m, 4*h = -3*r - 0*h - 8. Is 2 a factor of r?
True
Suppose 3*u + 2*z - 85 = -2*u, 4*z - 5 = u. Does 5 divide u?
True
Let l(f) = -4*f + 4. Let j be l(-4). Let d = j + -5. Does 5 divide d?
True
Let f be (0 + 0)/(-8 - -6). Suppose -16 = 4*b - f*b. Let x = 10 + b. Is x a multiple of 6?
True
Let h(t) = 6*t**2 - 2*t + 2. Let n be 38/(-6) - (-6)/18. Let a be (1/3)/((-1)/n). Is h(a) a multiple of 22?
True
Let h = 152 - -55. Suppose 0 = -3*n - 18 + h. Is 21 a factor of n?
True
Suppose 2*n + 10 = 7*n. Suppose -4*q + n*q + 52 = 4*r, 2*r = -4*q + 74. Is 10 a factor of q?
False
Suppose -12*w = -11*w - 126. Is w a multiple of 44?
False
Let s be 2/4 + 6/4. Suppose 0*q - q - 17 = -f, -3*f + 76 = s*q. Does 7 divide f?
False
Suppose -5*z - 15 - 25 = 0. Let y = -1 + z. Let s = y + 27. Does 11 divide s?
False
Suppose 44 = 4*g + 4*n, 2*g + g - 4*n - 5 = 0. Is g a multiple of 2?
False
Let n(f) = f + 8 + f**2 - 1 - 5*f - 2. Let z be n(4). Suppose 166 = z*p - 49. Is 15 a factor of p?
False
Let l be -1*(6*2)/(-2). Let q be 34/8 - 4/16. Let p = l - q. Is 2 a factor of p?
True
Suppose 2 = u - 30. Suppose 3*r - 90 = 2*h, -u = -r + 5*h - 2. Is r a multiple of 30?
True
Let i(b) = 3*b**3 - 5*b**2 - 4. Let v be i(4). Suppose w + 3*w + v = 0. Let l = w - -53. Is l a multiple of 17?
False
Suppose -n - n + 30 = 0. Suppose 3*m = 3*y + n, -5*y + 6*y + 17 = 4*m. Let o(f) = 34*f**2. Is 13 a factor of o(y)?
False
Let z = 45 + -25. Suppose -m + 3*m = z. Is 10 a factor of m?
True
Let b be (-388)/1*(-5)/10. Let q be 3/15 + b/5. Suppose 3*r + 0*r + q = 5*m, 2*m - 15 = r. Is m a multiple of 6?
True
Suppose -4*m + 13 = -m + q, 0 = m + 5*q - 23. Suppose -f - m = -5*n + 6, 4*f = -2*n + 74. Suppose 0 = -5*z + 19 + f. Does 3 divide z?
False
Suppose -3*q + q = l - 130, 2*l + 2*q = 264. Suppose -3*x + 19 = -l. Does 17 divide x?
True
Let w(h) = h**2 - h - 1. Let d be w(-1). Is 5 a factor of 9 - -2 - (0 + d)?
True
Let p(w) = -2*w**3 - 6*w**2 - 6*w - 4. Let y be p(-4). Suppose -2 = 3*j + 3*h - 32, -5*j = 3*h - y. Does 5 divide j?
False
Let z = -46 - -108. Is 12 a factor of z?
False
Suppose -5*o - 11 + 16 = 0. Is 8 a factor of ((-5)/(-5))/(o/10)?
False
Suppose -2*r - 7 = -51. Is 22 a factor of r?
True
Suppose -4*g - 111 = -7*g. Does 13 divide g?
False
Let s = 1 + -1. Suppose 2*c - 8 = -s*c. Is ((-10)/3)/(c/(-36)) a multiple of 16?
False
Is ((-3)/24*-70)/(3/12) a multiple of 6?
False
Let t(p) = p**2 - 5*p - 10. Let a be ((-2)/(-6))/((-4)/(-84)). Is 4 a factor of t(a)?
True
Let g(z) = 0 + 9*z + 0. Let u be g(5). Suppose 4*b - 35 = -5*r, -5*r + u = -b + 10. Does 7 divide r?
True
Suppose 52 = 15*j - 11*j. Is 10 a factor of j?
False
Let a = 4 + 24. Is a a multiple of 14?
True
Let w(s) = -5*s**2 + 2*s - 6. Let c be w(3). Let k = c - -78. Does 33 divide k?
True
Suppose 4*l = w - 3, -w - 2*w = 3*l - 9. Is (w - -46) + (-2 - -3) a multiple of 25?
True
Let j(k) = k**3 + k**2 + 150. Let w be j(0). Suppose 6*x + w = 9*x. Does 25 divide x?
True
Suppose 2*w + 29 = c, w - 1 = 2. Suppose 0 = -5*p - 0*p + c. Suppose 148 = p*n - 2*n + 3*h, 4*n = h + 132. Does 16 divide n?
True
Let c = 20 - 44. Is 10 a factor of -1 - (1 + 1 + c)?
False
Suppose 4*w + 2*i = 2*w + 8, i + 1 = 0. Suppose -3*y + 4*z - 3 = -0*z, 2*z = w*y - 9. Suppose r - 104 = -y*r. Is 12 a factor of r?
False
Let v be ((-9)/2)/((-2)/40). Suppose -4*t + r = 24 - 144, 3*t + r - v = 0. Let p = t + -14. Is 8 a factor of p?
True
Suppose -g - 90 = -0*h + 5*h, 3*g + 281 = -4*h. Let b = -55 - g. Is b a multiple of 20?
True
Suppose 0 = 4*d - 5*w - 20, -3*d + 2*w = -0*d - 8. Suppose r = 3*a + 23, 2*r + d*a - 52 = 4*a. Is r a multiple of 12?
False
Suppose -7*s = -3*s - 172. Is 13 a factor of s?
False
Suppose 0 = g, -r - 4*g + 61 = -2*g. Is r a multiple of 13?
False
Let x(q) = -5*q + 2 - q - 2*q. Let g = -12 - -9. Does 13 divide x(g)?
True
Let w(y) = 257*y - 1. Let a be w(-1). Does 8 divide a/(-24) + (-1)/(-4)?
False
Let o(h) = h**2 + 5*h - 9. Let v be o(-7). Suppose 2*b + d = -8, 3 = -v*b - 5*d - 27. Is 2/(b + 40/19) a multiple of 19?
True
Let r(l) = -l**2 + 16*l + 4. Suppose 3*p + x = 2*x + 39, 5*p - 65 = -3*x. Is 23 a factor of r(p)?
False
Let a(r) = -r**3 - 9*r**2 - 2*r - 5. Does 2 divide a(-9)?
False
Let k(l) = -4*l + 2. Suppose -5*c - 6 - 14 = 0. Does 9 divide k(c)?
True
Suppose 6*u = 2*u + 172. Is 19 a factor of u?
False
Let b = 14 - 9. Suppose 0 = -4*r + 3*w + 10 + b, 0 = r + 3*w - 15. Suppose -3*j + r*l + 74 = 2*l, 4*j + 3*l = 132. Is j a multiple of 15?
True
Let m(u) = -2*u - 11. Let y(c) = c + 5. Let w(z) = 6*m(z) + 15*y(z). Is 16 a factor of w(4)?
False
Let c(j) = -j + 10. Let m be (-8)/(-12)*-3 - 3. Does 4 divide c(m)?
False
Let h(f) = f - 4. Let o = 6 - -2. Let m be h(o). Suppose -u + m*k + k + 29 = 0, 4*k = -5*u. Is 3 a factor of u?
False
Let o = 249 + -126. Suppose o = -2*n + 5*n. Is 14 a factor of n?
False
Suppose -4*y = -76 - 44. Does 7 divide y?
False
Suppose -2*v - 2*v = 5*m - 120, -m - 2*v + 30 = 0. Is 7 a factor of m?
False
Let x = 21 - 5. Let n be (x/24)/((-2)/(-27)). Let a = n + 24. Is 9 a factor of a?
False
Let l(o) = 4*o**3 - o**2 - 5*o + 2. Is l(2) a multiple of 5?
True
Let l(q) = q**2 + 5*q - 13. Let p be l(-8). Suppose -b - 6 = -v + p, -4*b - 90 = -5*v. Does 5 divide v?
False
Let p(m) = -2*m + 10. Let r be p(-5). Suppose -3*g - 4 + 64 = 0. Suppose -5*u + g + r = 0. Is u a multiple of 4?
True
Is 7*((-152)/(-7) + -2) a multiple of 21?
False
Suppose -7 = -5*u + 3. Suppose -j + u = 0, -1 = f - 4*j + 2. Is 5 a factor of f?
True
Let o(z) = -z**2 + 5*z + 1. Let s be o(5). Suppose 0*n + n = -2*m - s, 3*m + 3*n - 3 = 0. Does 18 divide 3*( | {
"pile_set_name": "DM Mathematics"
} |
637 prime?
False
Is 2329 prime?
False
Is 380731 a composite number?
True
Is 1597 prime?
True
Is 24481 a composite number?
False
Is 20327 a composite number?
False
Is 9271 composite?
True
Is 35201 composite?
False
Is 4647 composite?
True
Is 1847 composite?
False
Is 41703 a prime number?
False
Is 34031 a prime number?
True
Is 28321 a prime number?
False
Is 152593 a prime number?
False
Is 325589 composite?
True
Is 64489 a composite number?
False
Is 188506 a composite number?
True
Is 4709 prime?
False
Is 25127 a composite number?
False
Is 11721 prime?
False
Is 3643 a composite number?
False
Is 28099 a prime number?
True
Is 77137 a composite number?
False
Is 2173 a prime number?
False
Is 15397 a composite number?
True
Is 44683 prime?
True
Is 8039 composite?
False
Is 128377 prime?
True
Is 5737 prime?
True
Is 254069 a prime number?
False
Is 378802 a prime number?
False
Is 992941 a prime number?
True
Is 456577 prime?
False
Is 340573 a composite number?
False
Is 40669 prime?
False
Is 4006 a composite number?
True
Is 9143 a prime number?
False
Is 32311 a prime number?
False
Is 17517 a composite number?
True
Is 2071 composite?
True
Is 3821 a prime number?
True
Is 1931 a prime number?
True
Is 419861 prime?
False
Is 807 a composite number?
True
Is 2149529 a prime number?
False
Is 77863 composite?
False
Is 115301 prime?
True
Is 1154759 a composite number?
True
Is 10189 a composite number?
True
Is 29789 composite?
False
Is 69365 a prime number?
False
Is 701 a prime number?
True
Is 14961 a prime number?
False
Is 2048663 prime?
True
Is 1213907 composite?
False
Is 31301 prime?
False
Is 484439 a composite number?
False
Is 98621 composite?
False
Is 84603 prime?
False
Is 3119 a composite number?
False
Is 67835 prime?
False
Is 21121 a composite number?
False
Is 87083 prime?
True
Is 7369 prime?
True
Is 176123 composite?
False
Is 3659 a composite number?
False
Is 23099 composite?
False
Is 13042 composite?
True
Is 20419 prime?
False
Is 473 prime?
False
Is 8501 a prime number?
True
Is 6117 prime?
False
Is 1626005 composite?
True
Is 345491 a composite number?
True
Is 15053 a prime number?
True
Is 142663 composite?
True
Is 4783 a prime number?
True
Is 11467 prime?
True
Is 4285 a prime number?
False
Is 55457 a composite number?
False
Is 39869 composite?
False
Is 33227 prime?
False
Is 56249 a composite number?
False
Is 13323 a composite number?
True
Is 1096853 a composite number?
False
Is 319489 composite?
False
Is 1416739 prime?
True
Is 375407 a prime number?
True
Is 76267 composite?
True
Is 681673 a composite number?
False
Is 4481 a composite number?
False
Is 12661 a prime number?
False
Is 8419 a composite number?
False
Is 7367 a prime number?
False
Is 152777 prime?
True
Is 444497 a composite number?
True
Is 63229 prime?
False
Is 119 a composite number?
True
Is 270619 prime?
True
Is 356657 prime?
False
Is 167249 composite?
False
Is 57829 prime?
True
Is 8657 prime?
False
Is 11777 a prime number?
True
Is 4285247 prime?
True
Is 913591 composite?
True
Is 15814 prime?
False
Is 26099 composite?
False
Is 91853 prime?
False
Is 19181 a prime number?
True
Is 54211 a composite number?
True
Is 2720347 a composite number?
True
Is 25019 a prime number?
False
Is 89779 prime?
True
Is 43174 a composite number?
True
Is 26899 a composite number?
True
Is 4054 a composite number?
True
Is 142739 composite?
True
Is 123991 prime?
False
Is 194789 composite?
True
Is 147977 prime?
True
Is 3854545 prime?
False
Is 1238817 a composite number?
True
Is 12661 a prime number?
False
Is 2671 a composite number?
False
Is 3716589 a composite number?
True
Is 23341 a prime number?
False
Is 12381 composite?
True
Is 249877 prime?
False
Is 22121 prime?
False
Is 6385 a composite number?
True
Is 7133 composite?
True
Is 6623 a composite number?
True
Is 5961 prime?
False
Is 945833 prime?
False
Is 12287 prime?
False
Is 1753 prime?
True
Is 571517 a composite number?
True
Is 54647 a prime number?
True
Is 17257 a composite number?
False
Is 4463239 a composite number?
True
Is 123227 a prime number?
False
Is 1384363 a prime number?
False
Is 57881 a composite number?
False
Is 321569 a prime number?
True
Is 231733 a prime number?
False
Is 262617 prime?
False
Is 5671 a prime number?
False
Is 110809 composite?
True
Is 163 a prime number?
True
Is 768949 prime?
False
Is 365917 composite?
True
Is 3407 a prime number?
True
Is 985399 a prime number?
True
Is 907 a composite number?
False
Is 1635274 prime?
False
Is 467 prime?
True
Is 66617 prime?
True
Is 634093 a composite number?
True
Is 247861 a composite number?
True
Is 7603 prime?
True
Is 37243 composite?
False
Is 484465 composite?
True
Is 11723 a prime number?
False
Is 165661 prime?
False
Is 22307 a prime number?
True
Is 144407 composite?
False
Is 3883 prime?
False
Is 438397 a composite number?
True
Is 48973 a prime number?
True
Is 1596107 prime?
True
Is 1583 composite?
False
Is 1137 composite?
True
Is 95345 prime?
False
Is 2767 a composite number?
False
Is 28929 prime?
False
Is 60317 prime?
True
Is 20507 prime?
True
Is 262093 prime?
False
Is 13739 prime?
False
Is 866707 composite?
False
Is 192091 a prime number?
True
Is 150343 a prime number?
True
Is 58385 a prime number?
False
Is 129803 composite?
False
Is 98849 composite?
False
Is 22331 composite?
True
Is 585547 a composite number?
False
Is 163517 composite?
False
Is 18079 a prime number?
False
Is 3957 prime?
False
Is 42095 prime?
False
Is 7393 a composite number?
False
Is 285609 a composite number?
True
Is 324781 a prime number?
True
Is 15901 prime?
True
Is 10063 prime?
False
Is 33563 a composite number?
False
Is 11567 a prime number?
False
Is 301813 a prime number?
True
Is 39079 prime?
True
Is 1207897 prime?
False
Is 314383 a composite number?
True
Is 3221 prime?
True
Is 18119 prime?
True
Is 201098 a composite number?
True
Is 10531 a composite number?
False
Is 132911 composite?
False
Is 3957 composite?
True
Is 556159 prime?
True
Is 2321 prime?
False
Is 2657 a prime number?
True
Is 15557 composite?
True
Is 50213 prime?
False
Is 20173 prime?
True
Is 294551 a prime number?
True
Is 115 a composite number?
True
Is 3158 composite?
True
Is 401173 composite?
False
Is 643677 composite?
True
Is 438703 composite?
True
Is 27121 composite?
True
Is 440827 a prime number?
False
Is 49366 a prime number?
False
Is 2903 a composite number?
False
Is 3641 a composite number?
True
Is 28277 composite?
False
Is 187 a prime number?
False
Is 163 a prime number?
True
Is 57119 a composite number?
False
Is 13963 prime?
True
Is 1280671 composite?
True
Is 23101 prime?
False
Is 20681 a composite number?
False
Is 3761 prime?
True
Is 692821 a composite number?
False
Is 81407 composite?
True
Is 1693529 a composite number?
False
Is 141761 prime?
True
Is 37427 a prime number?
False
Is 8263 composite?
False
Is 116867 a prime number?
True
Is 116953 prime?
True
Is 130861 prime?
False
Is 155083 a composite number?
False
Is 487507 a composite number?
False
Is 25409 a prime number?
True
Is 27427 composite?
False
Is 363211 a prime number?
True
Is 3239 prime?
False
Is 467 a composite number?
False
Is 18659 a prime number?
False
Is 44059 prime?
True
Is 226813 a composite number?
False
Is 497 prime?
False
Is 6469 a composite number?
False
Is 10529 composite?
False
Is 3785 a prime number?
False
Is 1101 prime?
False
Is 154561 composite?
True
Is 8857 composite?
True
Is 1848403 a composite number?
True
Is 65477 prime?
False
Is 2083799 a composite number?
False
Is 379003 a composite number?
True
Is 55231 a composite number?
True
Is 499391 prime?
True
Is 467353 prime?
True
Is 211811 a prime number?
True
Is 26443 a composite number?
True
Is 1522 composite?
True
Is 36323 prime?
False
Is 5087 a composite number?
False
Is 314257 composite?
False
Is 30269 composite?
False
Is 7411 a composite number?
False
Is 79966 a prime number?
False
Is 92987 prime?
True
Is 2328163 a composite number?
True
Is 2965 composite?
True
Is 9791 a composite number?
False
Is 17026 a composite number?
True
Is 887 a composite number?
False
Is 2051537 a prime number?
True
Is 104227 composite?
True
Is 5269 prime?
False
Is 30211 prime?
True
Is 1235363 a prime number?
True
Is 62597 a composite number?
False
Is 46047 a composite number?
True
Is 101589 a composite number?
True
Is 297679 prime?
False
Is 1195 | {
"pile_set_name": "DM Mathematics"
} |
placement from nlnllwndnrd. What is prob of picking 1 l and 3 n?
2/55
What is prob of picking 1 f and 2 j when three letters picked without replacement from {p: 1, j: 4, c: 9, f: 2, d: 4}?
1/95
Two letters picked without replacement from uuivviivuuuxvixvxvv. Give prob of picking 1 x and 1 i.
4/57
Four letters picked without replacement from rttrrytr. What is prob of picking 1 y, 1 r, and 2 t?
6/35
Four letters picked without replacement from jjvvjvjmvv. Give prob of picking 1 m, 1 j, and 2 v.
4/21
What is prob of picking 2 m when two letters picked without replacement from {v: 1, j: 2, h: 3, i: 10, m: 3}?
1/57
Calculate prob of picking 2 t when two letters picked without replacement from tbbbybbbkbkybybt.
1/120
Calculate prob of picking 1 c and 3 e when four letters picked without replacement from {e: 4, t: 1, c: 1, z: 5, x: 1}.
4/495
Four letters picked without replacement from {g: 7, c: 6, a: 1}. Give prob of picking 4 g.
5/143
Calculate prob of picking 2 u when two letters picked without replacement from uuuu.
1
Four letters picked without replacement from qdqqdqdqqdqqd. What is prob of picking 2 d and 2 q?
56/143
What is prob of picking 1 f and 1 k when two letters picked without replacement from dfadavaeffakkfefefaf?
7/95
Calculate prob of picking 3 l when three letters picked without replacement from {x: 11, k: 2, l: 6}.
20/969
Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {u: 1, y: 1, e: 1, i: 2, r: 1, h: 1}.
1/21
Four letters picked without replacement from rrqrrqrrrqrqrrqqrr. Give prob of picking 4 r.
11/68
Two letters picked without replacement from {r: 2, x: 2, t: 2}. What is prob of picking 1 t and 1 x?
4/15
Four letters picked without replacement from {s: 6, u: 6}. Give prob of picking 3 u and 1 s.
8/33
What is prob of picking 1 p, 1 w, and 1 j when three letters picked without replacement from {w: 2, j: 7, p: 4}?
28/143
Calculate prob of picking 2 e and 2 r when four letters picked without replacement from {r: 4, q: 2, e: 5}.
2/11
Three letters picked without replacement from nququuqqququunu. Give prob of picking 2 q and 1 u.
3/13
Calculate prob of picking 2 c and 1 k when three letters picked without replacement from cckcgcgggcc.
1/11
What is prob of picking 1 k, 1 r, and 2 a when four letters picked without replacement from rggrkgraaggrrrrug?
1/340
Two letters picked without replacement from {m: 2, e: 8, x: 2, j: 6}. What is prob of picking 1 x and 1 m?
4/153
Four letters picked without replacement from tttttdtdctdtttt. What is prob of picking 4 c?
0
Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {b: 1, a: 2, x: 1, i: 4, n: 3, t: 1}.
2/33
What is prob of picking 1 h, 1 s, and 1 g when three letters picked without replacement from {h: 3, s: 11, g: 1, a: 1, z: 1, b: 1}?
11/272
Three letters picked without replacement from {t: 4, v: 3, x: 2}. What is prob of picking 2 t and 1 x?
1/7
What is prob of picking 1 f and 1 v when two letters picked without replacement from {d: 2, v: 4, f: 8, q: 3}?
4/17
Calculate prob of picking 1 v, 1 q, 1 w, and 1 e when four letters picked without replacement from {o: 4, v: 4, q: 1, e: 4, w: 2, z: 4}.
8/969
Calculate prob of picking 2 g when two letters picked without replacement from gggggggzgxggzgkkggz.
26/57
Two letters picked without replacement from qkwkpnwq. What is prob of picking 1 q and 1 p?
1/14
Calculate prob of picking 2 k and 1 f when three letters picked without replacement from veffcekefkk.
3/55
Three letters picked without replacement from kdbddnnkdnbnn. What is prob of picking 1 n, 1 b, and 1 d?
20/143
Four letters picked without replacement from {u: 3, z: 5, n: 3}. What is prob of picking 3 z and 1 n?
1/11
Four letters picked without replacement from phgxppdhxphppsxpssp. Give prob of picking 2 h, 1 g, and 1 s.
3/1292
Two letters picked without replacement from tuuutuuutuuuut. Give prob of picking 1 t and 1 u.
40/91
What is prob of picking 2 m when two letters picked without replacement from {m: 8, i: 3}?
28/55
What is prob of picking 1 g and 2 y when three letters picked without replacement from {g: 1, n: 2, e: 4, y: 9}?
9/140
Calculate prob of picking 2 g, 1 i, and 1 z when four letters picked without replacement from {z: 2, u: 1, a: 1, i: 4, g: 2}.
4/105
Two letters picked without replacement from dddxxoxdoz. What is prob of picking 1 z and 1 o?
2/45
Calculate prob of picking 1 x and 2 q when three letters picked without replacement from qyqymqymxqmxmmq.
4/91
What is prob of picking 1 y and 1 e when two letters picked without replacement from jjjkdkyyyyye?
5/66
What is prob of picking 4 k when four letters picked without replacement from {k: 6, j: 4}?
1/14
Three letters picked without replacement from svlhsv. Give prob of picking 1 s, 1 l, and 1 v.
1/5
What is prob of picking 1 o, 1 y, and 1 s when three letters picked without replacement from {y: 4, o: 1, u: 4, s: 3, z: 7}?
4/323
What is prob of picking 2 u when two letters picked without replacement from {d: 5, u: 4, r: 2, t: 1, a: 4}?
1/20
Calculate prob of picking 2 d, 1 l, and 1 y when four letters picked without replacement from {o: 3, y: 1, d: 6, l: 5}.
5/91
What is prob of picking 2 b and 1 x when three letters picked without replacement from bxbxbbbbbbbxxb?
45/91
What is prob of picking 3 n and 1 q when four letters picked without replacement from qnnnnnnnqnqqqn?
60/143
Two letters picked without replacement from fitnnck. Give prob of picking 1 i and 1 k.
1/21
Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {k: 6, v: 1, u: 1, b: 2, i: 3}.
1/13
Two letters picked without replacement from {p: 5, j: 1, m: 1, k: 3, s: 4}. What is prob of picking 1 m and 1 k?
3/91
Two letters picked without replacement from bbbbbbblbllbbbbb. What is prob of picking 1 b and 1 l?
13/40
What is prob of picking 2 t when two letters picked without replacement from {r: 1, y: 2, t: 2}?
1/10
Calculate prob of picking 1 a and 1 j when two letters picked without replacement from gtdaj.
1/10
Four letters picked without replacement from {x: 6, l: 7}. What is prob of picking 1 l and 3 x?
28/143
Four letters picked without replacement from zxxzxxxxxzxxxxxxxz. Give prob of picking 1 z and 3 x.
364/765
Calculate prob of picking 2 a when two letters picked without replacement from aiy.
0
Four letters picked without replacement from {w: 4, r: 1, i: 8}. What is prob of picking 4 i?
14/143
Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {h: 9, q: 4, b: 1, z: 1, s: 2}.
1/680
What is prob of picking 2 z when two letters picked without replacement from {z: 2, t: 1, s: 1}?
1/6
What is prob of picking 3 s when three letters picked without replacement from {s: 4, p: 3}?
4/35
Calculate prob of picking 2 y, 1 e, and 1 r when four letters picked without replacement from yeyjyykr.
3/35
What is prob of picking 2 y and 2 i when four letters picked without replacement from yyiiyiyyyyyyiy?
270/1001
Two letters picked without replacement from sjyyddssysyssjss. What is prob of picking 1 y and 1 d?
1/15
Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {j: 2, r: 4, o: 3, c: 1}.
4/15
What is prob of picking 1 o and 1 f when two letters picked without replacement from okovkokvvfkkf?
1/13
What is prob of picking 1 l and 2 v when three letters picked without replacement from {r: 3, l: 1, v: 3}?
3/35
What is prob of picking 1 l and 1 a when two letters picked without replacement from ajaljl?
4/15
Four letters picked without replacement from {m: 6, z: 2}. What is prob of picking 1 z and 3 m?
4/7
Four letters picked without replacement from hbhyhwb. Give prob of picking 2 b and 2 h.
3/35
What is prob of picking 4 a when four letters picked without replacement from qffqaaqqqfqqqqaqfqaq?
1/4845
Two letters picked without replacement from xxxb. Give prob of picking 1 x and 1 b.
1/2
What is prob of picking 4 r when four letters picked without replacement from {r: 14, w: 1}?
11/15
What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 3, j: 7, o: 5, c: 2}?
3/68
Four letters picked without replacement from qqdddqqqqd. What is prob of picking 3 d and 1 q?
4/35 | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of d.
2, 3
Let s(m) be the first derivative of -m**3/3 - 4*m**2 - 2*m - 10. Let n be ((-3)/(-2))/((-6)/16). List the prime factors of s(n).
2, 7
Suppose 4*m = -2*o - 16, 5*m = 3*o - 8*o - 65. List the prime factors of (-2)/9 - 328/o.
2, 3
What are the prime factors of (-312)/(-60)*(-5)/(-2)?
13
Suppose n + f = -0*f + 2, 5*n - 2*f = 3. Suppose -3*p + 9 = 2*t, 3*p - 4 = -p. What are the prime factors of -1 + 18/t*n?
5
Suppose 1 = 4*q + 13. Let f = -9 - -12. What are the prime factors of f/(q/(-13)) - 2?
11
Let b = -3 + 3. Suppose 4*j - 3*w + 74 = b, 3*j + w + w = -64. List the prime factors of (-132)/j + (-3)/5.
2, 3
Let a = 83 - 54. List the prime factors of a.
29
Let p = 68 - 18. What are the prime factors of p?
2, 5
Let p(w) = -w - 3. Let g be p(-7). Suppose -g*k + 9*k = 150. What are the prime factors of k?
2, 3, 5
Suppose 0 = 4*s - 4*x - x - 37, 2*s - 3*x - 21 = 0. Suppose -3*l = s*y - 51, -3*y + 4*l + 28 = y. Let o = y - -3. List the prime factors of o.
3, 5
Let a = 6 - -39. What are the prime factors of a?
3, 5
What are the prime factors of 65 + 0 + (-12)/3?
61
Let c = -4 - -7. Suppose -43 = c*h - 4*h. List the prime factors of h.
43
Let m(j) = -j**2 - 6*j + 9. Let i be m(-7). What are the prime factors of 94/10 - i/5?
3
List the prime factors of (-1)/3 + 235/3.
2, 3, 13
Let d = 9 - 8. Let p(u) = -2 + 4*u + 2. List the prime factors of p(d).
2
Let q(x) = -3*x**3 - x + 2. List the prime factors of q(-3).
2, 43
Let x = -2 + -23. Let o = x - -52. What are the prime factors of o?
3
Let i = 751 + -336. Suppose n - i = -4*n. Suppose -n = -4*t + 3*o, 4*t - 8 = 5*t + 5*o. List the prime factors of t.
17
Suppose 2*x - 5*x - 4*g + 92 = 0, 4*g + 100 = 5*x. Suppose -m - m + x = 0. What are the prime factors of m?
2, 3
Suppose -10*j = -3*j - 735. What are the prime factors of j?
3, 5, 7
Let d(u) = -2*u**3 + u + 53. What are the prime factors of d(0)?
53
Let a = -5 - -8. Suppose 0 = a*t - 2*t - 41. What are the prime factors of t?
41
Let a = -9 + -6. Let k = 0 - -5. What are the prime factors of k*(3 + a)/(-3)?
2, 5
Suppose -2*f + 12 = 2*f. Suppose 5*t + 9 = -f*l, l - 1 = -2*t - 5. Suppose 5*g = -l*b + 30, -25 = -g - 4*g - b. What are the prime factors of g?
2
Let s(l) = -l. Let k be s(-2). Let x(z) = 4*z + 2. What are the prime factors of x(k)?
2, 5
Let m be 27/4 + 1/4. Suppose 5*k = q + 71, 4*k - 4*q = m + 37. List the prime factors of k.
3, 5
Let r(u) = -4*u - 4*u + 1 - 2. What are the prime factors of r(-2)?
3, 5
Let i = -35 + 73. List the prime factors of i.
2, 19
Let s(j) = 4*j + 10. Let d be s(7). Let r = 70 - d. Suppose -2*y + r = 2*x, -4*x - 5*y + 10*y = -28. What are the prime factors of x?
2, 3
Let k = 0 + 2. Suppose 0 = -k*y - 5*m, -3*y = m + m - 22. What are the prime factors of y?
2, 5
Suppose 3*m = -12, 2*g + 2*m + 28 = 6*g. Suppose -5*f + 4*s = 6, -5*s = -f + g*f - 28. List the prime factors of 6 + 0 + f + -2.
2, 3
Let c(y) = -6*y + 2. List the prime factors of c(-4).
2, 13
Suppose -2*v - b + 4 = -v, -2*v = -2*b. Suppose 0 = 5*j, 9 - 3 = v*k - j. What are the prime factors of k?
3
Let v(x) = -x**2 - 9*x + 15. List the prime factors of v(-10).
5
Suppose 0 = 5*f - 2*b + 14, 5*b - 2 = -3*f + 2. List the prime factors of 11/(f - -1)*-1.
11
Suppose 5*k - 4*s - 160 = 43, -2*k + 101 = 5*s. Suppose -5*a + 5 = 5*q, -2 = a - 1. Suppose 5*z - k - q = 0. What are the prime factors of z?
3
What are the prime factors of 9*(56/12 + 3)?
3, 23
What are the prime factors of (-5 - -125 - -3) + -1?
2, 61
Suppose 2*p - 232 - 395 = -5*b, 1 = p. What are the prime factors of b?
5
Let f be (18/(-24))/((-2)/136). Let a = f + -23. Let i = -17 + a. List the prime factors of i.
11
Suppose 0 = -4*o - 4*z + 32, 4*z - 15 = -z. Suppose 0*t + 2*t = 8, o*t = -3*v + 56. List the prime factors of v.
2, 3
Let v be ((-1710)/12)/(3/(-4)). Suppose -7*u + 9*u = v. Suppose -d = -6*d + u. List the prime factors of d.
19
Let a(w) = 1 + 8*w**2 - 2 - 2*w - 2*w**2. What are the prime factors of a(-1)?
7
Let j(k) be the first derivative of 10*k**3/3 - k**2/2 - 2*k + 5. What are the prime factors of j(-1)?
3
Suppose -y = -4*y + 33. Let x(m) = 2*m + 2. List the prime factors of x(y).
2, 3
Let b(x) = 6*x - 8 + 13 + 2*x. What are the prime factors of b(4)?
37
Let m = 689 + -401. List the prime factors of m.
2, 3
Let v(p) = 2*p - 7. Let o be v(5). Suppose o*i - 32 = -0*i - 2*y, -28 = -3*i + 2*y. List the prime factors of i.
2, 5
Suppose 2*k - 3*k = -2. Suppose k*i = -0*i. Let a = i - -6. List the prime factors of a.
2, 3
Suppose 4 = 2*k - 6*k. Let c(f) = 5*f**2. Let d be c(k). Suppose -5*z + 15 = d*m - 3*m, -2*m = -5*z + 35. List the prime factors of z.
5
Let f be (-13 - -4)*1/(-1). Let b be 550/45 + (-2)/f. Suppose -2*a - b = -6*a. List the prime factors of a.
3
Suppose 4*n + 5 = 17, 5*u - 3*n = 116. List the prime factors of u.
5
Let f = -58 - -89. What are the prime factors of f?
31
Let r(i) = i**3 + 10*i**2 + 10*i - 4. Let x be r(-8). Suppose 4*h - 2*z - 94 = 0, -z = 2*h + z - x. What are the prime factors of h?
23
Let c(q) = -38*q + 14. List the prime factors of c(-4).
2, 83
Suppose -4*b - 62 = -5*d, -4*d - 13 + 63 = -3*b. List the prime factors of 172/14 - 4/d.
2, 3
Let o be -18 - (-4)/(-2)*1/(-1). Let d(n) = n**3 - 7*n**2 + 3*n + 7. Let z be d(6). Let f = z - o. What are the prime factors of f?
5
Let c(y) = y**3 + 6*y**2 + 3*y. List the prime factors of c(-5).
2, 5
Suppose 0 = -n + 7*h - 2*h - 23, 2*n + 21 = 5*h. Let t(y) = y + 2. Let f be t(-6). List the prime factors of (-1 - f)/(n/6).
3
Let b = 28 + 17. What are the prime factors of b?
3, 5
List the prime factors of 155 + ((-8)/(-6))/(10/15).
157
Let c(o) = o**3 - 9*o**2 - o + 9. Let t be c(9). Suppose 5*r - 4*v - 128 = t, -3*v + 90 = 3*r - v. What are the prime factors of r?
2, 7
Let c(d) = -d**2 + 6*d - 4. Let u be c(5). What are the prime factors of 44*(-6)/(-8)*u?
3, 11
What are the prime factors of -1 + 69*4/6?
3, 5
Let z(i) = -i + 9. Let y be z(0). Suppose -y - 15 = -3*t. List the prime factors of t.
2
Let h(m) = m**3 + 7*m**2 + 8*m + 4. Let u be 2 - 7/1 - 0. List the prime factors of h(u).
2, 7
Let x(i) = -i**2 + i + 33. Let v be x(0). Suppose -21 = -0*a - 5*a + 3*d, -5*a - d = -v. List the prime factors of a.
2, 3
Let r(b) = 36*b + 1. Let t be r(1). Suppose 2*u = t - 9. What are the prime factors of u?
2, 7
Let n(x) = -21*x. Let j be n(-4). Suppose 7*k - 10*k + j = 0. What are the prime factors of k?
2, 7
List the prime factors of (-4520)/(-16) + 1/2.
283
Let u(w) = 4*w + 4 + 0*w**2 - 1 - w**2. Let c be u(4). Suppose 3*d = 2*d + c. List the prime factors of d.
3
Suppose -2*z - 6 = -3*z. List the prime factors of z/(-7)*(1 - 8).
2, 3
Suppose -4*i + 27 = -i. List the prime factors of i*(0 - (-56)/12).
2, 3, 7
Let k = 101 + -31. What are the prime factors of k?
2, 5, 7
Let s be 78 - (-2 + (-9)/(-3)). Suppose -s = -n - 17. Let x = n - 40. List the prime factors of x.
2, 5
Let q = 4 - 5. Let o = 17 - 29. What are the prime factors of q/4 + (-111)/o?
3
Let r be (0 - -1)*-7*5. Let k = 50 + r. Suppose -2*i = 2*i - 4, w = -4*i + k. What are the prime factors of w?
11
Let q(k) = 21*k**3 - k. Let s be q(1). Let i = -21 + 31. Let m = s - i. What are the prime factors of m?
2, 5
Let a = 506 + -251. What are the prime factors of a?
3, 5, 17
Suppose -q = 2*k + q - 122, -178 = -3*k + 2*q. What are the prime factors of k?
2, 3, 5
Suppose 2*l + 4 + 2 = 0. Let s be -2 - (-44)/(-6)*l. Suppose 5*t - s = 35. What are the prime factors of t?
11
Let g = 373 + -68. What are the prime factors of g?
5, 61
Suppose -5*u + 25 = -5*s, -s - s + 2 = 4*u. Suppose u*n + 5 = 7*n. Let p = 3 - n. List the prime factors of p.
2
Suppose 4*x = 5*d - 18 - 27, -4*d + 36 = x. List the prime factors of d.
3
Let z(o) = o**2 + 7*o + 8. Suppose -4*v + 5*v - 13 = -3*m, -23 = -3*v - 5*m. Let j be 3*v/3 + -7. List the prime factors of z(j).
2
Suppose 0 = a + 5*z - 23, z = 2*a - 0*z - 2. What are the prime factors of a?
3
Let h(c) = c**3 - 3*c**2 - 5*c + 2. Let q be h(4). Let a(v) = -v**3 - v**2 + 2*v + 2. What are the prime factors of a(q)?
2
Let y be 1*(3 + -2*1). Let s(h) = -6*h + 0 + 2*h - y. What are the prime factors of s(-1)?
3
Let k(d) be the third derivative of -3*d**5/40 - d**4/8 + d**3/6 - d**2. Let t(r) be the first derivative of k(r). | {
"pile_set_name": "DM Mathematics"
} |
r.
-5409, -29, -7, 0
Put 0.07, -4, 55579.209 in decreasing order.
55579.209, 0.07, -4
Put 1, -3, 36, -47, 2, 0, 89 in ascending order.
-47, -3, 0, 1, 2, 36, 89
Sort 3, -3, 5, -26, -328, 1.
-328, -26, -3, 1, 3, 5
Sort -1.3, -7/12, 89.13 in ascending order.
-1.3, -7/12, 89.13
Put -4, -2863855, -23 in decreasing order.
-4, -23, -2863855
Sort -154, 5, -1/4, 8, -4, -10.7 in decreasing order.
8, 5, -1/4, -4, -10.7, -154
Sort -404, -3, -98, 330, -1 in decreasing order.
330, -1, -3, -98, -404
Put 2, -5, -100, -251 in decreasing order.
2, -5, -100, -251
Put 1, 2/7, -213.751, -4 in descending order.
1, 2/7, -4, -213.751
Put -48, -323, 7, 1 in increasing order.
-323, -48, 1, 7
Put -6, -72871, 57 in increasing order.
-72871, -6, 57
Sort -1/122, 28100, 0.01 in descending order.
28100, 0.01, -1/122
Sort -3, -3114.4349, 0.2, 1/6.
-3114.4349, -3, 1/6, 0.2
Sort 1/12, 2/7, -2732, 0, 2/9, 2 in decreasing order.
2, 2/7, 2/9, 1/12, 0, -2732
Sort 1, 3, 5404, 317 in increasing order.
1, 3, 317, 5404
Sort -4, 335695, -3, 0.13 in ascending order.
-4, -3, 0.13, 335695
Put 5, -5, -2, 3, -4, 731 in descending order.
731, 5, 3, -2, -4, -5
Put -5, 376, 0, 9, -298 in ascending order.
-298, -5, 0, 9, 376
Put -20, 3, -2, 5, -2190, 2, 4 in increasing order.
-2190, -20, -2, 2, 3, 4, 5
Sort 3, 7, 2, 2818 in decreasing order.
2818, 7, 3, 2
Put 1, 6, 33, 927, 3, -1, -2 in increasing order.
-2, -1, 1, 3, 6, 33, 927
Put 1, 2, -13, -95194 in descending order.
2, 1, -13, -95194
Put -2, 0, 16, -20, -5, 3, 7 in descending order.
16, 7, 3, 0, -2, -5, -20
Sort 0, -3, -9, 5, 7, -5, -15473 in decreasing order.
7, 5, 0, -3, -5, -9, -15473
Sort -0.31, 5, 28, 163 in decreasing order.
163, 28, 5, -0.31
Sort 12, 11/12, -0.1, 0.4, 6, -3 in descending order.
12, 6, 11/12, 0.4, -0.1, -3
Sort -7, -0.11, -0.48, -2/1061 in decreasing order.
-2/1061, -0.11, -0.48, -7
Sort 2, -2, 1, -562344, 68 in decreasing order.
68, 2, 1, -2, -562344
Sort -3, -286, -5, 65, 5 in increasing order.
-286, -5, -3, 5, 65
Sort 3, -1, 4, 24753, -15, -2 in ascending order.
-15, -2, -1, 3, 4, 24753
Put 2, -15, -264, 344, -4 in descending order.
344, 2, -4, -15, -264
Sort -2/9, -25, 4, -0.3, -24/79 in descending order.
4, -2/9, -0.3, -24/79, -25
Put -1, -15, 4, 362, 3 in decreasing order.
362, 4, 3, -1, -15
Sort 4, -5, 16960, -2, 7, -1.
-5, -2, -1, 4, 7, 16960
Sort -8.1276, 3, -0.3, 52/9 in decreasing order.
52/9, 3, -0.3, -8.1276
Put 684, 0, -3, -0.24, 2, -40, 0.2 in decreasing order.
684, 2, 0.2, 0, -0.24, -3, -40
Sort 2, 8, -0.5, 970/7, 7/31.
-0.5, 7/31, 2, 8, 970/7
Put -1461000, -3, -25 in decreasing order.
-3, -25, -1461000
Put -111437, 5, 9.3 in increasing order.
-111437, 5, 9.3
Sort -4, -1, 0, 3, 1411933, -2, 5.
-4, -2, -1, 0, 3, 5, 1411933
Put 7631, 0.3, -290 in descending order.
7631, 0.3, -290
Sort -636, 132, 24 in increasing order.
-636, 24, 132
Put 2, -17, -167, 5 in descending order.
5, 2, -17, -167
Sort -1, 29, -3, 289, 9, -2.
-3, -2, -1, 9, 29, 289
Sort -4, 4, 118, 10, 0, 400 in ascending order.
-4, 0, 4, 10, 118, 400
Put -156, 1, 4, -22122 in decreasing order.
4, 1, -156, -22122
Put 173/19, -1.1, 93.2, 3 in ascending order.
-1.1, 3, 173/19, 93.2
Sort -64.4, 2/11, 1/4, 3, 0, -2/9 in descending order.
3, 1/4, 2/11, 0, -2/9, -64.4
Put 5, 5/194851, 2/19, -2/13 in descending order.
5, 2/19, 5/194851, -2/13
Put -0.1, 16/783, 0.057126 in descending order.
0.057126, 16/783, -0.1
Put 924/911, -2.3, 3 in decreasing order.
3, 924/911, -2.3
Sort 2, -39, -1113, -1, 4, 3, 1.
-1113, -39, -1, 1, 2, 3, 4
Sort -61253, -10, 3.
-61253, -10, 3
Put 0.391, 1/4, -242, 259, 0 in ascending order.
-242, 0, 1/4, 0.391, 259
Put 4, -3/7, 0.094, 17, -3, -0.9 in descending order.
17, 4, 0.094, -3/7, -0.9, -3
Sort 1/6, -15.7, 4, 4/17, -2/83 in descending order.
4, 4/17, 1/6, -2/83, -15.7
Sort 7, -2, 10508, 5, 1 in decreasing order.
10508, 7, 5, 1, -2
Sort 36, 0, -348, 2, -5, -3 in descending order.
36, 2, 0, -3, -5, -348
Sort 18, -2, 6, -3, -5035, 4, 1 in increasing order.
-5035, -3, -2, 1, 4, 6, 18
Sort 0, -21, 30, -1310, -1.3 in decreasing order.
30, 0, -1.3, -21, -1310
Put 0, 5, 102, 2, 189 in increasing order.
0, 2, 5, 102, 189
Sort -0.8, 1, -6/7, -3/22, 2, 407 in decreasing order.
407, 2, 1, -3/22, -0.8, -6/7
Sort -21, -81, 1.74, 2, -1 in decreasing order.
2, 1.74, -1, -21, -81
Put 0, 18, 959, 4, -3/4, 3 in increasing order.
-3/4, 0, 3, 4, 18, 959
Sort -4, -2, -20, -5, -29, 5, 4 in descending order.
5, 4, -2, -4, -5, -20, -29
Put -2, 9.09, 4/9, 63, 0.4, -60 in decreasing order.
63, 9.09, 4/9, 0.4, -2, -60
Sort 5/17, 5, -75338, 0.5.
-75338, 5/17, 0.5, 5
Sort 331/4, -4, 0.5, -0.14 in decreasing order.
331/4, 0.5, -0.14, -4
Put 5, -4, 24, -1, 92 in increasing order.
-4, -1, 5, 24, 92
Sort -6/5, 0.5, 28963403, 1/10, 1/3.
-6/5, 1/10, 1/3, 0.5, 28963403
Sort -0.63, -3/4, 0.10728, 0, 4.
-3/4, -0.63, 0, 0.10728, 4
Sort -4, -5, -431, -8, 1, 0.
-431, -8, -5, -4, 0, 1
Put -80478, -1, -136 in ascending order.
-80478, -136, -1
Put 0, 25251, -184, -5 in ascending order.
-184, -5, 0, 25251
Put -1, 1, 4, 3, -3010, -16 in decreasing order.
4, 3, 1, -1, -16, -3010
Put -5, -54, 4, -38647 in descending order.
4, -5, -54, -38647
Put -17, -4, -2, 12889 in decreasing order.
12889, -2, -4, -17
Sort 1/21, 14, 4/3, 0.05, 3, -9 in increasing order.
-9, 1/21, 0.05, 4/3, 3, 14
Sort -6, 100199, 4.
-6, 4, 100199
Put -5, 4, 3, -6, 1, -3, 25735 in descending order.
25735, 4, 3, 1, -3, -5, -6
Sort -0.3, 2/3, -3.74, 0.1, 94 in increasing order.
-3.74, -0.3, 0.1, 2/3, 94
Put 0.8, -5.7, 0.15, 37, 1/16 in descending order.
37, 0.8, 0.15, 1/16, -5.7
Sort 70130, -22, 10 in decreasing order.
70130, 10, -22
Sort 5565075, 2, 13 in increasing order.
2, 13, 5565075
Put 2806, 3, -1/2, 0.02 in descending order.
2806, 3, 0.02, -1/2
Put 8117, 2, 5, 10, 4, 122, -1 in decreasing order.
8117, 122, 10, 5, 4, 2, -1
Sort 306, 4, 1083, 0.04, 10.
0.04, 4, 10, 306, 1083
Put 24, -0.888, -0.5, -4, 21 in decreasing order.
24, 21, -0.5, -0.888, -4
Put -3, 1165, -383 in decreasing order.
1165, -3, -383
Sort -1, 0.4, -1925732.
-1925732, -1, 0.4
Put -8, 31, -388, 245 in ascending order.
-388, -8, 31, 245
Sort -2, -135, 0, -5, -4, 5, 10.
-135, -5, -4, -2, 0, 5, 10
Put -17616, -57, 5, -4 in increasing order.
-17616, -57, -4, 5
Sort -12, 5, -4, 126193.6 in increasing order.
-12, -4, 5, 126193.6
Sort -2/9, 1, 16/31, -2, -10, -1.
-10, -2, -1, -2/9, 16/31, 1
Sort 4, 14125, 5, -2, -5, 3.
-5, -2, 3, 4, 5, 14125
Sort 35, 4, 6/11, -1/4, 0.3, -0.9 in decreasing order.
35, 4, 6/11, 0.3, -1/4, -0.9
Sort 77, -1, -632549 in descending order.
77, -1, -632549
Put 3/8, 36/243143, -52 in decreasing order.
3/8, 36/243143, -52
Sort 1, -4, 5, -2793, 3, -6, 0.
-2793, -6, -4, 0, 1, 3, 5
Sort -5046, 3, 7519.
-5046, 3, 7519
Put -5134369, 5, -4 in descending order.
5, -4, -5134369
Sort -441, 52, -99 in decreasing order.
52, -99, -441
Put 6, 57465, 2, 5 in descending order.
57465, 6, 5, 2
Put 2.08, -11, -1/2, 3, 142, -3 in decreasing order.
142, 3, 2.08, -1/2, -3, -11
Put -5, -0.04, 4, -0.2, 151/6, -25 in descending order.
151/6, 4, -0.04, -0.2, -5, -25
Sort 1, -184.1, 60107 in decreasing order.
60107, 1, -184.1
Put -108, -51, 1, -2, -5, -11 in descending order.
1, -2, -5, -11, -51, -108
Sort 7/8, -223, -3, 9/8, 0 in descending order.
9/8, 7/8, 0, -3, -223
Sort 0.111, 482/107, 1/2 in decreasing order.
482/107, 1/2, 0.111
Put -786, 6, 4, -3, -16 in descending order.
6, 4, -3, -16, -786
Put 13, -47, -6, 8837 in ascending order.
-47, -6, 13, 8837
Sort -7, -1.15, -11, 2449, 0 in descending order.
2449, 0, -1.15, -7, -11
Sort -7, -1/12, 4037.8 in ascending order.
-7, -1/12, 4037.8
Put 6, 1, 43, -1539 in descending order.
43, 6, 1, -1539
Sort -55, -4, 743103.
-55, -4, 743103
Sort -6, 2, 1166, 1/6, -5, -3, -1 in decreasing order.
1166, 2, 1/6, -1, -3, -5, -6
Sort -1/15958, -0.12, -0.04, 8/5 in decreasing order.
8/5, -1/15958, -0.04, -0.12
Put -73, -1, -2/7, -0.6, 2, -220 in increasing order.
-220, -73, -1, -0.6, -2/7, 2
Put 211, -15, -35, 248 in increasing order.
-35, -15, 211, 248
Put -24, 0, 73762, -2 in descending order.
73762, 0, -2, -24
Sort -0.08, 154, 111/8, 0.3 in descending order.
154, 111/8, 0.3, -0.08
Sort -4, -2, -51, 2, -10, -12 in ascending order.
-51, -12, -10, -4, -2, 2
Sort 1278, 11, -3, 39, 2.
-3, 2, 11, 39, 1278
S | {
"pile_set_name": "DM Mathematics"
} |
*2 - 1728*o
What is the first derivative of 1148*f**2 + 1104 - 78*f - 565*f**2 - 581*f**2 wrt f?
4*f - 78
Differentiate 18821 - j + 1304*j**3 - 19296 + j wrt j.
3912*j**2
What is the third derivative of 2270*a**3 + 2264*a**3 + 417*a + a**2 + 23*a**4 - 4533*a**3 + 59*a**6 + 50*a wrt a?
7080*a**3 + 552*a + 6
What is the derivative of 15 - 348 + 262 + 142 + 228 - 6017*c wrt c?
-6017
Suppose -g + 0 + 22 = 4*d, g = -2*d + 12. Differentiate 60*k**2 - 155*k**3 + 93*k**g - 153*k**2 - 79 with respect to k.
-465*k**2
Let s(i) be the third derivative of 26/3*i**3 - 277*i**2 + 0*i + 113/24*i**4 + 0. What is the derivative of s(n) wrt n?
113
Let p(l) = 25*l**4 - 30*l**3 - l - 6606. Let i(g) = -47*g**4 + 59*g**3 + 2*g + 13210. Let s(v) = 6*i(v) + 11*p(v). What is the first derivative of s(y) wrt y?
-28*y**3 + 72*y**2 + 1
Let d(f) = 16*f + 85. Let q(s) be the first derivative of 49*s**2/2 + 257*s - 82. Let a(y) = 11*d(y) - 4*q(y). Find the first derivative of a(w) wrt w.
-20
Suppose -3*p + 18 = b + 2*p, -2*b = -p - 3. What is the second derivative of -24 + 0*v**3 + 17 + 26*v**2 - 2*v**b + 2*v + 6 wrt v?
-12*v + 52
Let j(a) = 4609*a**2 + 3188*a - 65. Let v(z) = -13828*z**2 - 9564*z + 208. Let b(x) = 16*j(x) + 5*v(x). What is the second derivative of b(d) wrt d?
9208
Let b(s) be the first derivative of 5/2*s**4 + 0*s + 2/3*s**3 - 45*s**2 - 44. Find the second derivative of b(n) wrt n.
60*n + 4
Suppose 4*z = 5*p + 4 - 7, -z - 12 = -5*p. Differentiate -6*a + 195 - 68*a + p*a with respect to a.
-71
Let i(k) be the first derivative of -87*k**5/5 - 5*k**4/2 + 1989*k + 2130. Differentiate i(m) with respect to m.
-348*m**3 - 30*m**2
Let p be (-1)/(1/2) - 480/12. Let f = p + 45. What is the third derivative of 0*k**f + 8*k**3 - 8*k**3 - 19*k**4 - 22*k**2 wrt k?
-456*k
Let c(w) be the first derivative of -25/2*w**2 + 24*w - 4/3*w**3 + 66. What is the derivative of c(g) wrt g?
-8*g - 25
Let z(d) be the third derivative of 0*d**7 + 0*d**5 + 8/3*d**4 - 97/336*d**8 + 0*d - 30*d**2 + 0*d**3 + 2 + 0*d**6. Find the second derivative of z(n) wrt n.
-1940*n**3
Let q(g) be the second derivative of -1399*g**8/28 - 5*g**4/3 - 91*g**2/2 - 2*g + 437. Find the third derivative of q(i) wrt i.
-335760*i**3
Let h = -47 - -39. Let x(j) = j**3 + 9*j**2 + 9*j + 10. Let m be x(h). Find the third derivative of -50*p**2 + 23*p**m + 19*p**5 + 9*p**2 wrt p.
1140*p**2
Let i(g) = -g**3 + 14*g**2 + 16*g - 13. Suppose 4*z = 5*z - 15. Let a be i(z). What is the third derivative of 28*r**6 + 593*r + 2*r**a - 593*r wrt r?
3360*r**3
Let d be 2 + -20 + (2 - -1). Let h = d - -19. Find the third derivative of 980*i**4 - 16*i**5 - 980*i**h - 13*i**2 wrt i.
-960*i**2
Let k(l) = -7433*l**2 + 30*l + 7922. Let f(o) = 7425*o**2 - 36*o - 7923. Let w(n) = -5*f(n) - 6*k(n). Find the first derivative of w(r) wrt r.
14946*r
Let j(q) = q + 1. Let t(i) = -79*i**2 + 13*i - 6. Let c be (1 - 2)*2 + (0 - 3). Let l(a) = c*j(a) - t(a). What is the second derivative of l(u) wrt u?
158
Let q(p) be the first derivative of 69*p**4/4 - 2063*p + 887. Find the first derivative of q(d) wrt d.
207*d**2
Suppose 2*t - 36 = -7*r + 3*r, 5*r + 4*t - 51 = 0. What is the second derivative of -150*i + 3 - 181*i**2 - 11*i + 6 - r*i - 10 wrt i?
-362
Differentiate 10336*c**3 + 2*c - 2*c - 1676 + 2528 + 3200 with respect to c.
31008*c**2
Find the third derivative of -616*r**2 + 4*r**5 - 4*r**5 + 197*r**6 - 720*r**2 + 2*r**4 - 493*r**2 wrt r.
23640*r**3 + 48*r
Let i(y) be the third derivative of 1/105*y**7 + 0*y + 53*y**2 + 5/12*y**4 + 0*y**3 + 0 + 0*y**6 - 31/60*y**5. What is the second derivative of i(w) wrt w?
24*w**2 - 62
What is the derivative of -1579 + 640 + 1779 - 933*x wrt x?
-933
Let i(y) = -2*y**2 + 44*y + 7. Let q be i(22). Find the second derivative of -33 + 173*k**2 + 175 - q*k - 2*k - 8*k + 19*k wrt k.
346
Let b(z) be the third derivative of 0*z - 19*z**2 - 1/3*z**5 + 0 + 0*z**3 + 13/30*z**6 + 0*z**4. What is the third derivative of b(d) wrt d?
312
Let w(f) = 5*f + 97. Let m be w(-19). What is the third derivative of -58*i**m + 39*i**4 + 14*i**4 + 3*i**4 + 6*i**4 wrt i?
1488*i
Suppose -3*x - y = -154 - 131, -x + 5*y + 111 = 0. What is the first derivative of -89*t + 37*t**3 + 89*t - 2*t**2 + x wrt t?
111*t**2 - 4*t
Let p(j) = -841*j**6 + 4*j**5 + 6*j**2 - 125*j. Let g(y) = -2*y**6 - y**5 - 2*y**2 - 3*y. Let m(d) = 4*g(d) + p(d). Find the third derivative of m(k) wrt k.
-101880*k**3
Let s(f) be the third derivative of 1/30*f**5 + 0*f**3 + 0 - 80*f**2 + 0*f - 11/24*f**4. What is the second derivative of s(n) wrt n?
4
Let o(u) = -6. Let f(s) = 1. Let r(x) = -5*f(x) - o(x). Let d = -37 - -36. Let y(n) = -17*n + 16. Let a(c) = d*y(c) + 3*r(c). Differentiate a(q) wrt q.
17
Let m(r) be the second derivative of 1993*r**4/12 - 2339*r**2 + 492*r - 3. What is the derivative of m(t) wrt t?
3986*t
Differentiate 0*s**2 - 106*s**3 - 3*s**2 - 114*s**3 + 1237 + 2*s**2 - 305*s**3 wrt s.
-1575*s**2 - 2*s
Let s be 2261/(-57)*(-6)/2. Let q = -76 + s. What is the third derivative of q*j**5 - 64 - 15*j**2 + 31 + 33 wrt j?
2580*j**2
Let a be 16 - (0 + (3 - 0)). Let x be 4 + 0/((-3)/(-3)). What is the third derivative of -87*u**x + a*u**2 + 0 + 74*u**4 + 0 wrt u?
-312*u
Suppose 0 = -v + 1, 3*a - 5*v + 44 + 3 = 0. Let r(d) = -d - 9. Let m be r(a). Find the second derivative of -6*i**5 - 22*i + i + 4*i**5 - 2*i**m wrt i.
-80*i**3
Let l(n) be the third derivative of 2223*n**5/10 + 49*n**4/12 - 2054*n**2. What is the second derivative of l(u) wrt u?
26676
Let t(z) be the second derivative of -709*z**6/10 - 411*z**4/4 - 2372*z. What is the third derivative of t(p) wrt p?
-51048*p
Suppose 2*u = 8 + 14. Let f(s) = s**2 - 12*s + 16. Let z be f(u). Find the third derivative of -14*k**z + 14*k**5 - 12*k**6 + k**2 wrt k.
-1440*k**3
What is the third derivative of -7176*n**2 + 63*n**4 - 30*n**6 - 2089*n**2 - 85*n**4 - 386*n + 386*n wrt n?
-3600*n**3 - 528*n
Let j = -8855 - -8855. Let y(d) be the third derivative of 0*d + j - 5/2*d**3 + 18*d**2 + 4/3*d**4. Differentiate y(h) wrt h.
32
Let v(u) = -2*u**3 + 18*u**2 + u - 6. Let s be v(9). Let t = -33 - -35. Find the third derivative of 2 + 9*l**2 + 18*l**3 - 6*l**s - t wrt l.
72
Let i(y) be the second derivative of 10/3*y**3 + 0*y**2 + 13/6*y**4 + 0 - 19*y. Find the second derivative of i(h) wrt h.
52
Let f be (-1)/(-6)*6*7. Let o(m) = m + 1. Let h be o(2). What is the first derivative of -f - 10 + 12 + h*v**2 wrt v?
6*v
Let q(t) be the first derivative of -39 - t + 0*t**5 + 0*t**3 + 9*t**2 - 23/6*t**6 + 0*t**4. What is the second derivative of q(r) wrt r?
-460*r**3
Let y = 4441 - 4426. Let o = 5 + -2. What is the first derivative of -8 - x**o + y + 21*x**3 wrt x?
60*x**2
Let k = 14 - 16. Let z be (k - 3) + 2 + 10. What is the third derivative of -z*g**6 - 3*g**6 - 2*g**2 - 4*g**2 - 4*g**6 wrt g?
-1680*g**3
Let c(g) be the second derivative of 1179*g**8/28 - g**4/12 + 1561*g**2/2 + 3134*g. Find the third derivative of c(n) wrt n.
282960*n**3
What is the second derivative of -14910*d**4 - 5*d - 1264 + 7449*d**4 - 1370*d**5 + 7461*d**4 wrt d?
-27400*d**3
Let f(x) = x**5 + x**4 + x**2 + x + 1. Let q(l) = -828*l**5 + 4*l**4 - 189*l**2 + l + 4. Let t(d) = 4*f(d) - q(d). Find the third derivative of t(k) wrt k.
49920*k**2
Suppose -y = -20 + 15. Suppose -5*t + 3*l + 440 = -908, -1352 = -y*t + 2*l. Differentiate 13*r**2 + 4*r + t - 4*r - 232 wrt r.
26*r
Let c be 3/15 + 138/(-15). Let q = c - -13. Find the first derivative of n - 4 - 17 - n - q*n**2 wrt n.
-8*n
Let z be (-2)/(-4) - ((-1096)/16 - 2). Find the first derivative of -133 + z + 89*w**2 - 181 wrt w.
178*w
Let x be 2/(-6) - (-9)/27. Let q be 1 - 1 - (x - 4). What is the first derivative of -9 + 3 - q - 6*f**4 - 1 wrt f?
-24*f**3
Suppose -22*i - 20 = -26*i. Find the third derivative of 90*b**5 + 22*b**5 + 10251*b**2 - 10322*b**2 - 18*b**i wrt b.
5640*b**2
Let x(s) be the third derivative of 11*s + 0*s**4 + 0 - 5*s**2 - 140/3*s**3 + 3/4*s**5. What is the first derivative of x(h) wrt h?
90*h
Find the second derivative of -3724*c - 1847*c**3 - 1292*c**3 + 2342*c**3 wrt c.
-4782*c
Let w(s) be the first derivative of -s**5/5 - 2027*s**4/2 + s**3 - s**2/2 - 121*s + 6169. Find the third derivative of w(b) wrt b.
-24*b - 24324
Let w(a) be the second derivative of -637*a**3/ | {
"pile_set_name": "DM Mathematics"
} |
16?
16
Let x(w) = w. Let a be x(-4). Calculate the common denominator of 0 - a/(32/71) and -113/14.
56
Suppose -74 = -4*o - 2*g - 1732, 2105 = -5*o + 4*g. Let q = 241 + o. Find the common denominator of 21/8 and -3 + (q/9)/(-2).
72
Let v = 0 - -8. What is the smallest common multiple of v and 12?
24
Let h be (-1)/(-3) + 5/(-15). Suppose h = -2*n + 19 - 7. Calculate the lowest common multiple of n and 10.
30
What is the common denominator of (2/20)/((-8)/(-696)) and -25/8?
40
Suppose 3*h - 5 = 49. What is the least common multiple of (-3)/(-18)*0 + 10 and h?
90
Calculate the common denominator of -17/20 and 82/4 + 10/2.
20
Let z(v) = -v**2 - 3*v - 4. Let d be z(-3). What is the common denominator of (-286)/(-60) - d/10 and 7/2?
6
Let f be (12/(-3))/((-4)/6). Let t = 12 - f. Let o = -3 + t. Calculate the smallest common multiple of o and 5.
15
What is the common denominator of (-4)/22 - 2841/528 and -31/6?
48
Suppose 5*m - 69 = 11. Calculate the least common multiple of 10 and m.
80
Let h(m) = m + 4. Let v(w) = -w - 1. Let r(k) = 3*k + 3. Let n(b) = -2*r(b) - 5*v(b). Let z be n(-7). Calculate the smallest common multiple of 10 and h(z).
10
Let o = 12/55 - 2291/165. Calculate the common denominator of ((-42)/20)/((-3)/(-17)) and o.
30
Let o = 2319 - 18653/8. Suppose 1 = 2*u + u + 2*t, 2*u + 1 = -t. Calculate the common denominator of (-1)/u*141/9 and o.
72
Suppose -180 = -i - 3*i. Let p(a) = 2*a**2 + 11*a + 8. Let c be p(-8). What is the common denominator of i and ((-18)/c)/(3/(-46))?
4
Suppose -2*k - 95 = 17. Calculate the common denominator of (-4)/(-2) + (-60)/k and 79/18.
126
Let b = -34287/5 - -32856/5. Let m = 284 + b. What is the common denominator of 77/10 and m?
10
Suppose 0 = 7*q - 2*q - 25. Suppose -q*l - 7 = -27. Let s(x) = -2*x - 8. Calculate the smallest common multiple of l and s(-7).
12
Let j(f) = -2*f**3 - 4*f**2 - 3*f - 3. Let a be j(-3). Find the common denominator of -1 + (-4)/(a/(-255)) and 23/8.
8
Let u(x) = x**3 - 6*x**2 + 2*x + 3. Let n = -9 + 15. Let y be u(n). Let f = 37 - y. What is the lowest common multiple of 6 and f?
66
Let j = -31/14 + 82/7. What is the common denominator of j and -57/2?
2
Let i(q) = 6*q + 2. Let j be i(2). Let p = j + -10. What is the lowest common multiple of p and 18?
36
Suppose 5*o + 5*k = 19 + 26, -2*o + k = -21. Calculate the least common multiple of 2 and o.
10
Suppose x - 3 = 3*n - n, -8 = 4*x + 2*n. Calculate the common denominator of 43/(-5) + x/2 and -43/9.
90
Let x = 338/19 - 7511/152. Let f = 921/40 + x. Calculate the common denominator of 71/9 and f.
45
Let k = 276735084 + -1908088386429/6895. Let t = k - 3/985. Calculate the common denominator of t and 39.
7
Let q = 76/1587 + 1016659/12696. Let d = 77 - q. Find the common denominator of d and (-61)/(-10)*-1 - -2.
40
Let q(c) = -5*c - 54. What is the least common multiple of q(-14) and 20?
80
Suppose 4*d + 12 = d. Let o = d - -8. What is the common denominator of (-1)/o + 45/(-16) and -143/6?
48
Suppose -5*c - 20 = 5*p, 6*p - p = 3*c + 28. Let y = 2 - c. What is the smallest common multiple of y and 10?
40
Suppose -45 = -l - 12. Let v be (-1)/(-2) - (-35778)/l. Let n = 1085 - v. What is the common denominator of n and -101/6?
66
Suppose 8*p = 3*p + 50. Suppose -2*v + 0*v - 5*m + 80 = 0, 3*v = -2*m + 142. Suppose -p = -3*y + v. What is the lowest common multiple of y and 14?
140
Let g(m) = -m**3 - 5*m**2 - 2*m + 4. What is the smallest common multiple of 9 and g(-5)?
126
What is the smallest common multiple of 8 and 0/(-3) - (-11)/1?
88
Suppose 0 = -3*b + 10 + 8. Let o(z) = -23*z**2 - 2. Let n be o(-2). Calculate the common denominator of (-2)/b - n/(-24) and -91/12.
12
Calculate the common denominator of 362/(-30) - 7/(-42) and -5/26.
130
Let r(c) = 2*c - 2. Calculate the least common multiple of r(11) and 8.
40
Calculate the smallest common multiple of 22 and (2/4)/(3/12).
22
Let y = -510914/1295 - -2762/7. Let a be -2 + (-2 - (-11188)/2035). Let d = y - a. Calculate the common denominator of d and 93/4.
44
Suppose 5*i - 25 = -0*i. What is the smallest common multiple of 10 and i?
10
Let p be (-3)/2 + 562490/110070. Let l = -1/1223 - p. Let q = 4338 + -17445/4. Calculate the common denominator of l and q.
36
Suppose -2*n - u - 41 = 0, 0*n + 5*u = -5*n - 115. What is the common denominator of -25/8 and n?
8
Let g = 5447/9 + -606. Calculate the common denominator of g and 139/12.
36
Suppose -4 + 0 = -2*z. Let b be (8/6)/(z/(-9)). Calculate the common denominator of b/(-9)*29/12 and 47/22.
198
Let t = 8/367 - 28307/2202. Let c = -12091/8 - -1507. Calculate the common denominator of c and t.
24
Let d = 71377/12 - 5942. What is the common denominator of 95/16 and d?
48
Let n(w) = -w**2 - 5*w + 1. Let l be n(-4). Let g = -3 + l. What is the least common multiple of 2 and g?
2
Let l(i) = i**3 + 4*i**2 + 3. What is the smallest common multiple of (4 + 14/(-4))*2 and l(-4)?
3
Suppose -20 = -0*c - 2*c. Let u(l) = l + 20. Calculate the smallest common multiple of c and u(-10).
10
Suppose -3*j + 74 = 8. Calculate the lowest common multiple of j and 32.
352
Let u = -113 + 122. What is the smallest common multiple of u and (7/2)/((-1)/(-2))?
63
Suppose 5 = 5*r - 5. Calculate the lowest common multiple of r and 20.
20
Calculate the common denominator of 31/24 and 3/72*-181 + 4.
24
Let t(n) = n + 6. What is the smallest common multiple of 8 and t(-4)?
8
Let m = 16 + 4. Let d = 1947/46 + 50/23. What is the common denominator of d and 5/m - 2/3?
12
Let g = -45 - -49. What is the least common multiple of g and 56?
56
Suppose -4*p = -7*p + 15. Suppose 4*z + 3*k - 38 = 0, 0 = -4*z + p*k - 3*k + 48. Calculate the least common multiple of z and 2.
22
Find the common denominator of 77/2 and 1 - 2 - 24/(-10).
10
Let i(r) = -r**2 + 6*r + 2. Let y be i(6). Suppose -2 - 2 = 2*m + 3*s, 4*s + 9 = m. Suppose -h + m = -y. What is the lowest common multiple of h and 5?
15
Let g = 5 - 5. Suppose g*b + 12 = 3*b. What is the common denominator of 1/10 and ((-3)/(-20))/(b/(-8))?
10
Calculate the common denominator of 99/4 and -11*12/112*4.
28
Let d be 20/(-50)*(0 - 10). Suppose 2*r + d = 4*r. Let s(a) = 17*a**2 + 1. Calculate the smallest common multiple of s(1) and r.
18
Let l be (-68)/(-6)*1*-56. Let f = l + 640. What is the common denominator of 70/3 and f?
3
Suppose a = 5*w - 2*w - 22, -2*w - 4*a = -10. What is the smallest common multiple of w and 7?
7
What is the common denominator of (-3102)/(-84) - 9/21 and -101/4?
4
Let k = -2 + 12. Let x = -3 + 6. Suppose -2*y + 5 = -2*h + 5*h, -5*y + x*h + 65 = 0. What is the lowest common multiple of y and k?
10
Let k = -174 - -2135/12. Calculate the common denominator of 39/8 and k.
24
Suppose -6*m + 132 = -2*m. What is the lowest common multiple of m and 24?
264
Let u(x) = 2*x. What is the least common multiple of 11 and u(1)?
22
Let n = 379721/15 + -25347. Let b = -601/15 - n. What is the common denominator of (-4)/(-6) - 302/12 and b?
10
Suppose 1387 = 5*x - 3213. Calculate the common denominator of x/96 - 4/(-6) and -61/10.
20
Suppose -1 = -h + 2. Suppose 2*z = 3*a - a, 2*a = -h*z + 5. Calculate the common denominator of 23/8 and a/(1/((-21)/(-30))).
40
Let l(y) = y**3 + 10*y**2 - 14*y. Let v be l(-10). Suppose -f = 6*b - b - v, -514 = -4*f + 3*b. Calculate the common denominator of f/12*3/2 and 9.
4
Let k = -1283 - -20535/16. Let b = -17 - -101/6. Calculate the common denominator of b and k.
48
Let y = 67892 - 478119/7. Let m = y + 409. Calculate the common denominator of -14/11 and m.
77
Suppose -73 + 37 = -6*d. What is the smallest common multiple of d and 8?
24
Let a = -37 - -23. Let f = a - -18. What is the lowest common multiple of f and 2?
4
Let f = 164500 + -1115803498/6783. Let o = f - -547/21149394. Let m = o + -49899/34298. Calculate the common denominator of 9/10 and m.
110
Calculate the common denominator of -46 and (0 - (-10)/6)/((-12)/20).
9
Let b = 28/3 + -265/48. Find the common denominator of (-2)/(-11) + (-247)/(-154) and b.
112
Let y(j) = -2 - j + 4 - 2. Let s be y(-2). Suppose -r - s*t + 26 = 0, t + 42 = 2*r + 3*t. Calculate the smallest common multiple of r and 22.
176
Let z(w) = w**3 + 7*w**2 - w - 9. Let n be z(-7). Calculate the common denominator of 67/4 and (-117)/(-24) + (-1)/n.
8
Supp | {
"pile_set_name": "DM Mathematics"
} |
a and 1 n when two letters picked without replacement from anvvvnvav?
1/9
What is prob of picking 1 t and 1 w when two letters picked without replacement from wwwtwwwwwwww?
1/6
Calculate prob of picking 3 n when three letters picked without replacement from {n: 11, a: 2}.
15/26
Two letters picked without replacement from {l: 2, q: 1}. Give prob of picking 1 q and 1 l.
2/3
Three letters picked without replacement from {v: 3, b: 5, f: 1, r: 3}. What is prob of picking 3 r?
1/220
Two letters picked without replacement from baxos. Give prob of picking 1 x and 1 s.
1/10
Two letters picked without replacement from {k: 6, j: 2, t: 3, e: 1}. Give prob of picking 1 t and 1 e.
1/22
Three letters picked without replacement from lmml. What is prob of picking 2 m and 1 l?
1/2
Two letters picked without replacement from {k: 3, d: 9}. Give prob of picking 2 k.
1/22
Calculate prob of picking 1 a and 1 k when two letters picked without replacement from axxmykssmsyyxsssks.
2/153
Calculate prob of picking 1 d and 3 m when four letters picked without replacement from {d: 5, m: 7}.
35/99
Calculate prob of picking 4 i when four letters picked without replacement from {i: 7}.
1
Two letters picked without replacement from {m: 3, x: 1, t: 1, l: 3, j: 2, n: 1}. What is prob of picking 2 l?
3/55
Calculate prob of picking 1 q and 1 v when two letters picked without replacement from smsdqsdmdmvvmdlvmd.
1/51
What is prob of picking 1 y and 3 u when four letters picked without replacement from {y: 2, u: 4}?
8/15
Four letters picked without replacement from {b: 2, z: 2, h: 5}. Give prob of picking 2 b, 1 h, and 1 z.
5/63
Two letters picked without replacement from pjpjpj. What is prob of picking 1 j and 1 p?
3/5
Two letters picked without replacement from bttkttbkkjtttb. What is prob of picking 2 t?
3/13
Four letters picked without replacement from {t: 2, u: 1, b: 5, j: 8, x: 1}. What is prob of picking 1 t and 3 b?
1/119
What is prob of picking 2 u when two letters picked without replacement from uuojjusou?
1/6
Calculate prob of picking 1 f and 3 p when four letters picked without replacement from {f: 5, p: 10, k: 4}.
50/323
Two letters picked without replacement from {c: 4, f: 2, t: 2, k: 8}. What is prob of picking 2 c?
1/20
Two letters picked without replacement from {l: 3, x: 1, w: 2, m: 1}. What is prob of picking 1 l and 1 w?
2/7
Two letters picked without replacement from faoosofoffffofof. Give prob of picking 1 f and 1 a.
1/15
What is prob of picking 2 d when two letters picked without replacement from {m: 5, d: 3}?
3/28
Four letters picked without replacement from ttttstts. Give prob of picking 1 s and 3 t.
4/7
Three letters picked without replacement from wwwwwrrqwrwwwrwrw. Give prob of picking 3 r.
1/68
Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {g: 4, n: 3, f: 2, d: 8}.
3/17
Four letters picked without replacement from rkkyykyykkk. Give prob of picking 2 k and 2 r.
0
Two letters picked without replacement from {n: 1, d: 1, y: 2}. What is prob of picking 1 d and 1 y?
1/3
Two letters picked without replacement from eeefemeeeee. What is prob of picking 2 e?
36/55
Calculate prob of picking 3 q when three letters picked without replacement from ididdiidqdqiqqqdiqq.
35/969
What is prob of picking 1 u and 1 c when two letters picked without replacement from ccucsscusccsc?
7/39
Two letters picked without replacement from hmtpumpmppmtphp. What is prob of picking 1 m and 1 u?
4/105
What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 4, d: 2}?
1/5
Three letters picked without replacement from lttlttttttttlttttltt. Give prob of picking 2 l and 1 t.
8/95
What is prob of picking 3 x and 1 d when four letters picked without replacement from {d: 1, x: 3, q: 4}?
1/70
Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 2, w: 17}.
34/171
Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 4, c: 3, s: 1}.
3/7
What is prob of picking 2 j and 2 i when four letters picked without replacement from {j: 9, i: 5}?
360/1001
Three letters picked without replacement from {m: 11, i: 6, l: 1}. Give prob of picking 2 i and 1 m.
55/272
Four letters picked without replacement from dicdddidcirkodo. What is prob of picking 4 d?
1/91
Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {f: 5, n: 1, u: 3, t: 2, i: 1}.
1/44
Four letters picked without replacement from bbsbssfsbbssssbbb. Give prob of picking 4 b.
1/34
What is prob of picking 2 g and 1 t when three letters picked without replacement from {j: 5, g: 4, t: 2}?
4/55
What is prob of picking 3 l when three letters picked without replacement from {r: 1, q: 1, l: 3}?
1/10
Two letters picked without replacement from goohesooshhso. Give prob of picking 1 e and 1 o.
5/78
What is prob of picking 2 q when two letters picked without replacement from ququqquuuuuqny?
10/91
What is prob of picking 2 c when two letters picked without replacement from {c: 3, b: 8, f: 5}?
1/40
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from sppprrr.
3/7
Three letters picked without replacement from cqcccccccqcccqcc. Give prob of picking 3 q.
1/560
Calculate prob of picking 1 k and 1 v when two letters picked without replacement from wkkggwgkkkgkwgv.
2/35
Three letters picked without replacement from {g: 2, f: 1, j: 2}. What is prob of picking 2 g and 1 f?
1/10
Four letters picked without replacement from utgnnnumggu. Give prob of picking 2 n, 1 g, and 1 u.
9/110
Two letters picked without replacement from zpvpfmy. What is prob of picking 1 m and 1 f?
1/21
What is prob of picking 1 o, 2 d, and 1 x when four letters picked without replacement from bbdboxxbbodobod?
8/455
Two letters picked without replacement from mmmmrrmrmr. What is prob of picking 2 r?
2/15
Four letters picked without replacement from xqqxxxxqqxxxxxxqxxx. Give prob of picking 3 q and 1 x.
35/969
What is prob of picking 2 w and 1 d when three letters picked without replacement from {w: 2, d: 15, v: 3}?
1/76
Calculate prob of picking 1 d and 1 e when two letters picked without replacement from vvdevddd.
1/7
What is prob of picking 2 s when two letters picked without replacement from kmssszzs?
3/14
What is prob of picking 2 k when two letters picked without replacement from {k: 17, d: 2}?
136/171
Calculate prob of picking 4 i when four letters picked without replacement from iiii.
1
What is prob of picking 1 k and 1 d when two letters picked without replacement from dkkyodoc?
1/7
Three letters picked without replacement from nyadyd. Give prob of picking 1 a, 1 y, and 1 n.
1/10
Three letters picked without replacement from mmmfuummfmfpfumpf. What is prob of picking 1 m and 2 p?
7/680
Four letters picked without replacement from fffffffffffftttfff. Give prob of picking 2 t and 2 f.
7/68
Three letters picked without replacement from {y: 6, i: 1, v: 4}. What is prob of picking 1 v, 1 y, and 1 i?
8/55
Three letters picked without replacement from {w: 1, y: 10, m: 3, h: 3, b: 2}. Give prob of picking 1 y and 2 m.
10/323
Two letters picked without replacement from bok. Give prob of picking 1 k and 1 o.
1/3
Four letters picked without replacement from {b: 6, q: 4}. Give prob of picking 1 q and 3 b.
8/21
Calculate prob of picking 3 t when three letters picked without replacement from {m: 3, t: 13}.
143/280
Four letters picked without replacement from vdvvvvvvvhyvvvv. Give prob of picking 2 v, 1 d, and 1 y.
22/455
Four letters picked without replacement from {m: 1, q: 2, u: 1, a: 5, l: 1, e: 3}. Give prob of picking 1 q and 3 e.
2/715
What is prob of picking 2 m when two letters picked without replacement from aymtmmmpmttxamtmy?
21/136
Four letters picked without replacement from {v: 8, n: 1, s: 5, h: 3, t: 3}. Give prob of picking 1 n, 1 h, and 2 v.
28/1615
Four letters picked without replacement from {c: 4, d: 1, a: 6, l: 2, h: 4}. Give prob of picking 1 d, 1 c, 1 a, and 1 h.
24/595
Two letters picked without replacement from miimimlmmimlmmmm. Give prob of picking 2 m.
3/8
What is prob of picking 3 a when three letters picked without replacement from {v: 3, a: 15}?
455/816
What is | {
"pile_set_name": "DM Mathematics"
} |
. Put w, 4/11, -4 in ascending order.
-4, w, 4/11
Let c be (10/12)/(85/(-153)). Put c, 66/5, -0.2 in decreasing order.
66/5, -0.2, c
Let l be -1 + 2*3 + -1. Let k = -4421 - -4402. Put l, k, 1 in increasing order.
k, 1, l
Let m = 5.1 - 6.7. Let t = -3.6 - m. Let o = 2.95 - -0.05. Sort o, 1/7, t in descending order.
o, 1/7, t
Suppose -2*w - 1 = -l + 2, 0 = -4*l - w - 15. Put l, 4, -1, 11 in decreasing order.
11, 4, -1, l
Let z = 1079/35 + -220/7. Put 2/3, -2, z, 423 in decreasing order.
423, 2/3, z, -2
Suppose h = -4*h - 25. Let c be (-16)/56 + 46/14. Let t be 2*(c/6 - 2). Put h, t, 0 in descending order.
0, t, h
Let a be -1 - ((-2)/(-4) + -1). Let x = -0.46 + -0.24. Let r = 0.6 + x. Sort a, 3, r in decreasing order.
3, r, a
Suppose -3*g + 5 = 5*y, -17 - 1 = -y - 4*g. Let b = 4.6504 + 0.0596. Let v = b + 0.29. Sort 1, v, y.
y, 1, v
Let j(n) = -3*n**2 - 23*n + 103. Let a be j(4). Sort 2, a, 4 in descending order.
4, 2, a
Let r = -23 + 12. Sort -0.3, r, 0, -3 in ascending order.
r, -3, -0.3, 0
Suppose -5*l - b = 19, -2*l - 7 = 2*b + 7. Put -0.03, 12, l, 0 in descending order.
12, 0, -0.03, l
Suppose -11 = 7*h + 80. Let m = -11 - h. Sort 0, -4, m in decreasing order.
m, 0, -4
Suppose 4*z = 4*x + 28, -4*x + 1 - 5 = 2*z. Let f(d) = -2*d**2 - 3 + 4 + 13*d - 4. Let q be f(6). Put -4, q, x in decreasing order.
q, x, -4
Suppose -2*u + u + x = -5, u + 4*x + 20 = 0. Suppose u = -2*s - 46 - 106. Let p be (-2)/6 + s/(-84). Sort 1, p, -4/7 in decreasing order.
1, p, -4/7
Suppose -5*n - 437 = -24*n. Sort 4, -2, n in decreasing order.
n, 4, -2
Let g = 0.3 + 0.05. Let u = 0.98 - g. Let b = -0.23 + u. Put -0.2, b, 3/10 in ascending order.
-0.2, 3/10, b
Let y = -6 - -11. Suppose -4*h + 880 = -0*h. Let d be 2/(-5) - (-48)/h. Put d, y, -6 in descending order.
y, d, -6
Let z = 59 - 63. Let n(i) = -i**2 + 8*i - 11. Let x be n(3). Sort x, z, 2, -3.
z, -3, 2, x
Let a = -872.4 - -872. Let x = -6 - -37/6. Put a, x, -7 in decreasing order.
x, a, -7
Let x = -0.5 + 0.1. Let o be ((-2)/6)/((-2)/3). Put x, 4, 0.3, o in increasing order.
x, 0.3, o, 4
Let g be -6*1*2/4. Suppose 3*q + y = 13 - 75, 3*q = 2*y - 56. Let x = 20 + q. Sort x, 4, g in descending order.
4, x, g
Suppose -27 = -5*j + u, -22 = -4*j - 2*u + 3*u. Suppose -73 - 110 = -61*q. Suppose -4*a + 3*z = -8*a + 20, 5*a + z - 14 = 0. Put j, q, a in decreasing order.
j, q, a
Let i be 1953/35 + (-4)/5. Let j be (i/(-60))/(5/(-9)). Let z = -3/20 + j. Sort 1, z, 3.
1, z, 3
Let a = -8.1 + 8. Let b = -323 - -296. Sort b, a, -1 in increasing order.
b, -1, a
Let p = 62 + -37. Let z = -20 + p. Put -2, z, -1/3 in increasing order.
-2, -1/3, z
Suppose -32*r + 23 + 265 = 0. Sort r, -3, 3, 25.
-3, 3, r, 25
Let v = 2.2 + -41.2. Let y = 39 + v. Put y, 5, -4, 4/7 in increasing order.
-4, y, 4/7, 5
Let m be 18/48 - (-87)/24. Sort 0, 10, m in descending order.
10, m, 0
Suppose 2*i = -3*i + 40. Let x(s) = -s**3 + 8*s**2 + s - 9. Let w be x(i). Sort 1, w, 4.
w, 1, 4
Suppose -2*q + 5*x - 3*x + 12 = 0, 3*q = -3*x - 6. Put -5, -1, 3, q in descending order.
3, q, -1, -5
Let q = 129 - 127. Let o(b) be the third derivative of -b**6/120 - b**5/20 + b**4/4 + 2*b**3/3 + 2*b**2. Let x be o(-4). Put x, 5, q in descending order.
5, q, x
Let w = -123 + 368/3. Let u = 0.057 + -0.017. Sort w, -0.5, u, -5 in decreasing order.
u, w, -0.5, -5
Suppose -b = 5*o - 20, 61*o = -2*b + 59*o. Sort 5, -2, 11, b in descending order.
11, 5, -2, b
Suppose -c - 4 = j, 3*c = -j + 4 - 12. Let q be 8/9*-3 - -2. Sort -3/2, c, q.
c, -3/2, q
Let s = 881/2 - 441. Put -0.2, s, 1/5, -2/53 in increasing order.
s, -0.2, -2/53, 1/5
Let l = 494.5 - 489.5. Let v = -0.59 - 0.01. Put l, 6, v in increasing order.
v, l, 6
Let a = -3 - -7. Suppose -2*g + 8 = a. Let l be -1*(7 - 3) - -3. Put l, 3, g in descending order.
3, g, l
Suppose c = 6*c - 15. Let d be 15 + (-1)/(c/15). Sort 5, d, -2 in decreasing order.
d, 5, -2
Let g = -76 - -75.49. Let h = -0.25 - g. Let q = h - 0.06. Sort 0.4, q, -2 in descending order.
0.4, q, -2
Suppose -10*h - 22 = h. Sort -257, h, 0 in increasing order.
-257, h, 0
Let g = 116.2 + -117. Sort 2/5, 2, g, -0.5 in ascending order.
g, -0.5, 2/5, 2
Let n = -8.79 - -8.39. Let y = -5 - -2. Sort 4, n, y.
y, n, 4
Let s be 3 - 6*(-2)/3. Let x be -3*((-154)/6)/s. Sort 4, x, -1 in ascending order.
-1, 4, x
Let t be (24/9 - 2) + (-888)/9. Let i be (-4)/(-14) + 322/t - -3. Let z be 32/(-14) - 4/(-14). Sort i, z, 5 in descending order.
5, i, z
Suppose -23*b + 10 = -28*b + 2*g, -b + 4*g - 2 = 0. Put 43, 4, b, -3 in descending order.
43, 4, b, -3
Suppose -63 = -t - 2*t. Let j = 2005 - 2006. Sort t, 0, j in ascending order.
j, 0, t
Let z = -120.4 - 9.6. Let v = z - -129.8. Let s = -4 - -2. Sort 0, s, v in descending order.
0, v, s
Suppose -20 - 40 = -4*j. Let d = 118 - 115. Put d, 4, 0, j in descending order.
j, 4, d, 0
Let h = -19.709 + 0.709. Sort -3/4, h, 4, -5 in decreasing order.
4, -3/4, -5, h
Let v = 6 - 9. Let b = 40 - 41. Sort v, -5, b, 3 in decreasing order.
3, b, v, -5
Let q(a) = a + 5. Let d(n) = -9*n - 40. Let k(c) = -6*d(c) - 51*q(c). Let f be k(7). Suppose -26 = 4*g - f. Put -2, 5, g in ascending order.
g, -2, 5
Suppose -7*z = -4*k - 12*z + 60, 4*z = -3*k + 46. Put 2, -10, k in increasing order.
-10, 2, k
Let v(u) = u**2 + u + 1. Let f be v(0). Suppose 2*x + 5 = 1. Suppose -3*i = 2*k + i - 30, -2*k - i + 15 = 0. Sort k, x, f in ascending order.
x, f, k
Let r be 3*-1*2/(-22). Suppose 0 = 13*l + 172 - 198. Sort r, l, 2/9 in ascending order.
2/9, r, l
Let p = 74 - 77. Let c(l) = -l**3 + 7*l**2 - 7*l + 6. Let b be c(6). Put 3, b, p in decreasing order.
3, b, p
Let l = 1693724 + -32188301/19. Let d = l - -397. Let g = 1 + -1.2. Sort d, -2, g.
-2, g, d
Let t(m) = m**2 + 14*m + 19. Let u be t(-12). Let r(q) = 2*q + 8. Let i be r(u). Put 2, 5, i in ascending order.
i, 2, 5
Let m = -5835.3 + 5835. Let d be -2*1 - 710/(-168). Let h = -37/12 + d. Put 0.1, m, h in ascending order.
h, m, 0.1
Suppose 0 = -3*w + w + 10. Let n(l) be the third derivative of l**5/60 - 13*l**4/24 + 5*l**3/6 + 15*l**2. Let h be n(12). Sort w, -4, h in decreasing order.
w, -4, h
Suppose -25*i - 65 = -12*i. Put 3, -2, 22, i in descending order.
22, 3, -2, i
Let o = 208 - 207. Let c be (-6 + 2)*(-10)/8. Sort o, c, -2 in ascending order.
-2, o, c
Suppose -3*l + 9 = c, -4*c + 1 = -2*l + 7. Let t(d) = -d + 14. Let q be t(10). Put -6, c, q in descending order.
q, c, -6
Suppose 6 = 2*v, 2*d + d + v = -3. Let m(n) = n**3 - 29*n**2 + n - 24. Let s be m(29). Sort d, -4, s, 4.
-4, d, 4, s
Suppose -13 = 3*k - 5*x, -2*k = -3*k + 5*x - 21. Let n(a) = -a - 15. Let u be (-6)/12 - ((-162)/(-4))/3. Let h be n(u). Put 5, h, k in decreasing order.
5, k, h
Suppose 4*p + 1 - 17 = 0. Suppose 3*n = -26 + 26. Put -3, p, n in decreasing order.
p, n, -3
Let x be 48/1200*3/1. Sort -1/5, 5, -1, x in descending order.
5, x, -1/5, -1
Suppose 5*m = -2*o + 3*o - 13, -3 = m. Let l be o/(-8)*4/3. Let v be 1*(1 - 2)*3. Sort l, 2/5, v in decreasing order.
2/5, l, v
Let a = -0.058 + -0.942. Let c = 0.2 + -8.2. Put -5, c, a in increasing order.
c, -5, a
Suppose -z + 455 = -0*z. Let n be z/(-28) + 2/8. Let u be (-2)/n*6*-4. Sort u, -1, 5 in decreasing order.
5, -1, u
Let t = 95 - 94.9. Put -4, -13, t in descending order.
t, -4, -13
Let s = 1.2 + -1.26. Let o be 1/((-132)/(-328)) + -3. Let r = o - -2/11. Sort r, s, 2/5.
r, s, 2/5
Let z = 71 + -44. Let f = z - 31. Sort -3, 0, f in ascending order.
f, -3, 0
Suppose 51*t + 42 = 9*t. Sort 4, -2, -13, t in descending order.
4, t, -2, -13
Let x be (3/(-2) - -2)*-2*-3. Put 2, x, -3 in decreasing order.
x, 2, -3
Let b be (2/8)/(1/(-8))*2. Sort 4, -12, b in descending order.
4, b, -12
Let f be 7 - 3*16/12. Suppose -37 = 5*z - f*m, 3*m + 0*m - 2 = -2*z. Sort 1, z, 4 in descending order.
4, 1, z
Suppose -20*a + 4 = -21*a. Sort -20, a, -1, 4.
-20, a, -1, 4
Let v = 64 - 69. Sort 4, -2, -1, v in increasing order.
v, -2, -1, 4
Let x be ((-3292514)/(-220))/(279441/6). Let a = x - 4/31049. Let q = 4/33 - a. Sort -2/5, q, -5 in descending order.
q, -2/5, -5
Let z = 0.74 - 0.94. Let k = -17.6 + 18. Put 0.2, -0.3, z, k in descending order.
k, 0.2, z, -0.3
Let m be ((13 - 5) + -9)*5. Sort 9, 8, m.
m, 8, 9
Let y be 11 - 14 - (-43 - 0). Let i be (-11 - -7)*(-12)/16. Sort y, -5, i in ascending order.
-5, i, y
L | {
"pile_set_name": "DM Mathematics"
} |
enominator of 1/106 and 83/2.
106
Calculate the least common multiple of 56 and 10.
280
What is the smallest common multiple of 513 and 459?
8721
Calculate the common denominator of -29/30 and -1/32.
480
Calculate the smallest common multiple of 105 and 480.
3360
What is the common denominator of 29/98 and -55/28?
196
Find the common denominator of 73/861 and -73/27.
7749
Calculate the smallest common multiple of 4899 and 21.
34293
What is the smallest common multiple of 630 and 490?
4410
Calculate the smallest common multiple of 18 and 135.
270
Find the common denominator of -89/210 and -59/1365.
2730
Find the common denominator of 39/740 and -69/592.
2960
What is the common denominator of -65/56 and 101/80?
560
Find the common denominator of -79/72 and 97/136.
1224
Calculate the common denominator of -53/12423 and -55/3.
12423
Find the common denominator of -62/171 and -37/171.
171
Find the common denominator of -129/620 and 71/9.
5580
What is the smallest common multiple of 494 and 12?
2964
What is the least common multiple of 194 and 50?
4850
Calculate the smallest common multiple of 632 and 6.
1896
What is the lowest common multiple of 32 and 4?
32
What is the common denominator of 36/2185 and -41/6?
13110
Find the common denominator of -35/136 and -53/17.
136
Calculate the lowest common multiple of 523 and 3.
1569
Calculate the least common multiple of 18 and 24.
72
Find the common denominator of 32/81 and 37/414.
3726
What is the least common multiple of 34 and 374?
374
What is the least common multiple of 2 and 2616?
2616
Calculate the least common multiple of 795 and 3.
795
What is the common denominator of 25/46 and 95/8?
184
What is the common denominator of -40/33 and 5/121?
363
Find the common denominator of 95/4 and -85/41456.
41456
What is the least common multiple of 3 and 348?
348
Calculate the lowest common multiple of 9 and 30.
90
What is the lowest common multiple of 3 and 263?
789
What is the smallest common multiple of 2 and 5?
10
Calculate the smallest common multiple of 39 and 738.
9594
What is the common denominator of -29/8 and -27/38?
152
Calculate the least common multiple of 506 and 3.
1518
What is the smallest common multiple of 134 and 12?
804
Find the common denominator of 29/54 and -65/522.
1566
Calculate the smallest common multiple of 1822 and 10.
9110
What is the least common multiple of 22 and 1322?
14542
What is the least common multiple of 112 and 140?
560
Calculate the lowest common multiple of 24 and 3.
24
Find the common denominator of -61/5 and 13/406.
2030
What is the common denominator of -11/14 and -11/508?
3556
Calculate the smallest common multiple of 4860 and 2430.
4860
What is the lowest common multiple of 285 and 456?
2280
What is the common denominator of -1/24 and 139/564?
1128
What is the least common multiple of 51 and 54?
918
What is the least common multiple of 16 and 44?
176
What is the least common multiple of 28 and 208?
1456
Calculate the common denominator of -77/382 and -67/20.
3820
What is the lowest common multiple of 3 and 128?
384
What is the least common multiple of 1204 and 91?
15652
What is the common denominator of 209/630 and 43/30?
630
What is the common denominator of -41/2881 and 13/1340?
57620
Calculate the common denominator of -11/804 and 43/1005.
4020
What is the common denominator of 121/350 and 15/238?
5950
What is the common denominator of 21/356 and -5/14?
2492
What is the smallest common multiple of 99 and 121?
1089
Find the common denominator of 34/147 and 26/1113.
7791
Find the common denominator of -55/12 and 45/56.
168
Calculate the lowest common multiple of 15 and 10.
30
Calculate the least common multiple of 32 and 430.
6880
What is the common denominator of -69/1078 and -121/882?
9702
Calculate the lowest common multiple of 78 and 20.
780
Find the common denominator of -71/48 and -45/304.
912
Calculate the lowest common multiple of 180 and 684.
3420
What is the smallest common multiple of 8 and 638?
2552
Calculate the smallest common multiple of 28 and 36.
252
What is the least common multiple of 5472 and 40?
27360
Calculate the common denominator of 53/56 and -29/7.
56
Calculate the lowest common multiple of 78 and 150.
1950
Find the common denominator of 59/502 and -46/7.
3514
What is the lowest common multiple of 224 and 104?
2912
Calculate the least common multiple of 828 and 30.
4140
Calculate the smallest common multiple of 18 and 774.
774
What is the smallest common multiple of 296 and 703?
5624
Calculate the lowest common multiple of 4 and 39.
156
What is the smallest common multiple of 60 and 18?
180
What is the common denominator of -29/56 and -80/63?
504
What is the least common multiple of 6 and 2?
6
Calculate the lowest common multiple of 9439 and 7.
66073
Calculate the lowest common multiple of 340 and 51.
1020
What is the common denominator of 18/185 and -133/30?
1110
What is the smallest common multiple of 20 and 120?
120
What is the smallest common multiple of 21 and 981?
6867
What is the common denominator of -131/1360 and 17/76?
25840
What is the common denominator of 83/218 and 27/763?
1526
Find the common denominator of -69/40 and -61/160.
160
What is the common denominator of 53/4 and 97/4?
4
Find the common denominator of -107/28 and -71/518.
1036
What is the common denominator of -83/530 and 14/477?
4770
Calculate the smallest common multiple of 32 and 56.
224
Calculate the common denominator of -101/592 and -59/592.
592
Calculate the lowest common multiple of 8 and 276.
552
What is the smallest common multiple of 28 and 7?
28
Calculate the least common multiple of 747 and 996.
2988
What is the common denominator of 133/30 and -33/80?
240
What is the least common multiple of 32 and 64?
64
Calculate the smallest common multiple of 154 and 462.
462
What is the least common multiple of 261 and 51?
4437
What is the lowest common multiple of 250 and 105?
5250
What is the lowest common multiple of 15 and 24?
120
What is the common denominator of -69/7580 and 45/3032?
15160
What is the lowest common multiple of 2052 and 19?
2052
Find the common denominator of -41/405 and -127/90.
810
Calculate the least common multiple of 4 and 284.
284
What is the common denominator of -5/1039 and -34/13?
13507
Find the common denominator of -14/5 and 101/4.
20
Calculate the common denominator of 63/305 and -71/90.
5490
Calculate the lowest common multiple of 3 and 5463.
5463
What is the lowest common multiple of 135 and 285?
2565
What is the smallest common multiple of 48 and 576?
576
Calculate the lowest common multiple of 2 and 1742.
1742
Find the common denominator of 41/63 and -38/189.
189
Calculate the common denominator of 1/22 and -41/1928.
21208
What is the least common multiple of 102 and 306?
306
What is the lowest common multiple of 904 and 904?
904
What is the common denominator of 79/180 and 127/900?
900
Calculate the common denominator of -131/216 and 103/24.
216
Calculate the common denominator of -103/476 and 83/21.
1428
What is the common denominator of -85/52 and 8/65?
260
Calculate the least common multiple of 156 and 305.
47580
Calculate the common denominator of 41/6 and 119/1270.
3810
What is the lowest common multiple of 27 and 747?
2241
Find the common denominator of -14/275 and 7/75.
825
Find the common denominator of -14/135 and -77/20.
540
Find the common denominator of 87/760 and 53/152.
760
Calculate the lowest common multiple of 5 and 508.
2540
Calculate the least common multiple of 201 and 27.
1809
Calculate the least common multiple of 4 and 1428.
1428
Find the common denominator of -129/308 and 57/28.
308
Calculate the common denominator of -87/76 and -67/20.
380
Calculate the smallest common multiple of 9 and 921.
2763
What is the lowest common multiple of 204 and 272?
816
What is the smallest common multiple of 50 and 820?
4100
Find the common denominator of 97/2478 and -109/14.
2478
Calculate the common denominator of -113/1080 and 47/1350.
5400
Calculate the common denominator of -17/30 and 31/18.
90
What is the least common multiple of 232 and 56?
1624
Find the common denominator of 85/3172 and -81/8.
6344
What is the common denominator of 85/8 and 101/16?
16
Calculate the common denominator of -47/30 and 25/2 | {
"pile_set_name": "DM Mathematics"
} |
lest common multiple of 29547 and 30016.
1891008
Calculate the least common multiple of 3204 and 1869.
22428
What is the lowest common multiple of 6 and 752228?
2256684
What is the least common multiple of 8668 and 711564?
7827204
Find the common denominator of -185/462 and 35/5802.
446754
What is the lowest common multiple of 30 and 172020?
172020
Calculate the common denominator of 37/160 and -21/65132.
2605280
What is the lowest common multiple of 196668 and 24?
393336
Find the common denominator of -149/8304 and -109/36.
24912
Find the common denominator of -55/1629 and -49/2159.
3517011
What is the lowest common multiple of 8 and 193999?
1551992
What is the common denominator of -69/1051306 and -109/41390?
5256530
Find the common denominator of -61/2244 and 29/146574.
3224628
What is the least common multiple of 393992 and 136?
393992
What is the lowest common multiple of 20474 and 18?
184266
Calculate the common denominator of 86/24453 and 151/17784.
195624
What is the least common multiple of 40032 and 30024?
120096
Calculate the common denominator of 211/39060 and -61/1550.
195300
What is the smallest common multiple of 1134 and 1062?
66906
What is the smallest common multiple of 895 and 80371?
401855
Find the common denominator of 29/508650 and 53/75.
508650
Calculate the lowest common multiple of 22 and 22732.
250052
Calculate the least common multiple of 258286 and 1942.
258286
Calculate the lowest common multiple of 84036 and 196084.
588252
Calculate the lowest common multiple of 9 and 2563.
23067
What is the least common multiple of 330 and 46500?
511500
Find the common denominator of -45/2086 and 143/6.
6258
What is the common denominator of 22/263925 and 82/8211?
1847475
What is the smallest common multiple of 5800 and 4640?
23200
What is the common denominator of 107/24198 and -57/4?
48396
Calculate the lowest common multiple of 10507 and 3059.
241661
Calculate the least common multiple of 83190 and 885.
83190
Calculate the least common multiple of 45 and 27252.
136260
What is the smallest common multiple of 160 and 88048?
880480
Calculate the lowest common multiple of 76 and 11018.
418684
Calculate the lowest common multiple of 14 and 129426.
905982
Calculate the common denominator of -49/256194 and 11/688.
2049552
Calculate the smallest common multiple of 4240 and 174264.
1742640
What is the smallest common multiple of 221282 and 16?
1770256
What is the lowest common multiple of 34506 and 5112?
138024
What is the smallest common multiple of 33150 and 1430?
364650
Find the common denominator of -5/57 and -55/15454.
880878
What is the common denominator of 61/34089 and -15/22726?
68178
What is the least common multiple of 638 and 25?
15950
Calculate the common denominator of 59/8 and -14/51477.
411816
Find the common denominator of 79/1750 and 37/4.
3500
Calculate the least common multiple of 73980 and 84.
517860
Find the common denominator of 31/1756 and -11/331.
581236
Calculate the common denominator of 109/192 and -73/8512.
25536
What is the smallest common multiple of 608 and 178720?
3395680
Calculate the smallest common multiple of 521 and 2605.
2605
Calculate the least common multiple of 126 and 2395246.
21557214
What is the smallest common multiple of 25620 and 45?
76860
What is the least common multiple of 3680 and 59800?
239200
Calculate the lowest common multiple of 3448 and 1848.
796488
Find the common denominator of 43/10353 and -7/5916.
41412
Calculate the smallest common multiple of 157333 and 14303.
157333
What is the smallest common multiple of 278110 and 1450?
1390550
Calculate the lowest common multiple of 9408 and 111342.
24940608
What is the least common multiple of 2168 and 2976?
806496
What is the least common multiple of 133056 and 1008?
133056
Find the common denominator of -17/130 and -91/1474860.
19173180
What is the common denominator of 31/2207830 and -101/22?
24286130
Calculate the least common multiple of 255 and 8440.
430440
Calculate the common denominator of 39/2443876 and -73/20.
12219380
What is the lowest common multiple of 12804 and 308?
89628
What is the common denominator of 19/11216 and 25/36?
100944
What is the common denominator of -17/1089 and -2/44649?
44649
What is the least common multiple of 376125 and 21063?
2632875
Find the common denominator of 93/4552 and 119/894.
2034744
Calculate the common denominator of 87/280 and -1/758800.
758800
What is the common denominator of -125/1062 and -121/354?
1062
What is the common denominator of -149/3900 and -97/150?
3900
Calculate the common denominator of -127/288 and -151/1104.
6624
Calculate the smallest common multiple of 2032 and 5232.
664464
What is the least common multiple of 34554 and 63349?
380094
Find the common denominator of 79/85040 and 65/4.
85040
Calculate the least common multiple of 42156 and 38643.
463716
What is the common denominator of -127/1488 and 101/60?
7440
What is the lowest common multiple of 31596 and 162?
853092
What is the lowest common multiple of 10248 and 9?
30744
What is the common denominator of 83/2104 and -23/281410?
1125640
What is the common denominator of 95/2457 and 52/46305?
601965
What is the least common multiple of 80820 and 900?
404100
What is the common denominator of 18/15965 and -26/552389?
2761945
Find the common denominator of 113/120 and 101/12030.
48120
What is the lowest common multiple of 229299 and 15?
1146495
Find the common denominator of -23/6018 and 127/132.
132396
What is the common denominator of -28/1923 and 41/1215?
778815
Find the common denominator of -13/2728 and 79/365552.
365552
What is the lowest common multiple of 98 and 350?
2450
What is the smallest common multiple of 1924398 and 14?
1924398
What is the common denominator of -67/6 and -40/50101?
300606
Calculate the common denominator of 113/420 and -97/130452.
652260
Find the common denominator of -105/10054 and 32/5941.
130702
Calculate the smallest common multiple of 2013972 and 671324.
2013972
What is the least common multiple of 30942 and 37818?
340362
Find the common denominator of 31/330 and 79/174240.
174240
Calculate the smallest common multiple of 45962 and 134.
45962
What is the common denominator of 11/3249 and -65/228?
12996
What is the common denominator of 44/472997 and -145/810852?
5675964
What is the smallest common multiple of 2765 and 8295?
8295
Calculate the least common multiple of 4740 and 84.
33180
Calculate the least common multiple of 913155 and 32229.
2739465
Find the common denominator of 107/416448 and -25/52056.
416448
Calculate the smallest common multiple of 168 and 64974.
259896
What is the common denominator of -131/140770 and -1/49?
985390
Find the common denominator of 83/1023572 and -113/9460.
5117860
Find the common denominator of -5/154 and 23/1452.
10164
Calculate the common denominator of -7/141 and -38/939.
44133
Calculate the lowest common multiple of 16880 and 3376.
16880
Calculate the common denominator of 137/12336 and 125/12.
12336
Find the common denominator of 81/7780 and 69/59128.
295640
Calculate the lowest common multiple of 15 and 15120.
15120
What is the least common multiple of 938 and 804?
5628
What is the smallest common multiple of 1584 and 31824?
350064
What is the least common multiple of 26078 and 14?
182546
Calculate the common denominator of 79/72 and -68/7623.
60984
Calculate the lowest common multiple of 12 and 20974.
125844
Calculate the least common multiple of 11 and 1192894.
13121834
Calculate the common denominator of -8/33979 and 39/44.
135916
What is the common denominator of 71/133560 and -32/45?
133560
Calculate the least common multiple of 34860 and 17430.
34860
Find the common denominator of 65/697516 and 69/1442.
4882612
Find the common denominator of -59/6384 and -107/33360.
4436880
Calculate the least common multiple of 8960 and 560.
8960
Find the common denominator of 139/1740 and -47/1824.
264480
Find the common denominator of -37/7890 and 34/71799.
717990
Calculate the lowest common multiple of 288 and 549504.
549504
What is the common denominator of -51/659140 and -57/263656?
1318280
Calculate the lowest common multiple of 1 and 63.
63
Calculate the common denominator of -70/327 and 53/356430.
356430
Calculate the least common mul | {
"pile_set_name": "DM Mathematics"
} |
(d) = 2*o(d) - 3*s(d). Let r(z) = -4*z**2. Calculate h(r(g)).
12*g**2
Let m(h) = -2*h. Let v(s) be the second derivative of 5*s**3/6 + 4*s - 6. Calculate v(m(a)).
-10*a
Let k(o) = 39*o**2. Let h(g) = -379*g - 2. What is h(k(y))?
-14781*y**2 - 2
Let o(p) = -3789*p. Let f(l) = 643*l. Determine f(o(k)).
-2436327*k
Let r(a) = 9*a. Let t(p) = -9*p**2 - 2*p + 50. What is t(r(u))?
-729*u**2 - 18*u + 50
Let p(h) = -340*h. Let s(u) = -322*u + 15. What is s(p(t))?
109480*t + 15
Let w(k) be the third derivative of k**4/12 + 4*k**2 + 4*k. Let b(s) be the second derivative of -5*s**3/2 + s. Determine b(w(p)).
-30*p
Let c(a) = -a. Let g(j) = 61*j**2 + 8*j - 8. Let y(t) = -23*t**2 + 42*t**2 + 5*t + 22*t**2 - 5. Let u(r) = -5*g(r) + 8*y(r). Calculate c(u(l)).
-23*l**2
Let l(v) = -14*v. Let d(p) = 3*p**2 + 0*p**2 + p**2. Let s(b) = -9*b**2. Let z(r) = r**2 - 5. Let x be z(0). Let q(i) = x*d(i) - 2*s(i). What is l(q(m))?
28*m**2
Let d(v) = -19*v. Let u(r) = 3*r**2 - 5*r + 5. Let z(k) = -k + 1. Let s(y) = -u(y) + 5*z(y). Give d(s(p)).
57*p**2
Let b be 0 + (-2)/(-1) - 0. Let d(i) = 5*i**b - 8*i**2 + 4*i**2. Let a(y) = 12*y**2. Calculate a(d(q)).
12*q**4
Let o(h) = 340726*h. Let p(q) = q. Calculate p(o(b)).
340726*b
Let i(c) = 3*c. Let y(n) be the third derivative of -11*n**5/60 + 2*n**2 - 8. Determine i(y(x)).
-33*x**2
Let x(h) = 2732*h + 3. Let i(k) = -7*k**2. Give x(i(f)).
-19124*f**2 + 3
Let h(p) = 2*p**2. Let y(v) = 8 + 936*v + 18*v**2 - 936*v. What is y(h(n))?
72*n**4 + 8
Let d = -53 - -71. Let q(b) = 805*b + d*b**2 - 805*b. Let m(k) = -k**2. What is m(q(c))?
-324*c**4
Let i(n) = -26*n**2 + 6*n**2 + 28*n**2 + 18*n**2. Let r(s) = -16*s**2. Determine i(r(x)).
6656*x**4
Let n(f) = 48*f. Let r(g) be the second derivative of g**6/720 + g**4/4 - 31*g. Let b(c) be the third derivative of r(c). Calculate b(n(m)).
48*m
Let w(f) be the first derivative of f**2 - 1. Suppose 3*z = 4 - 16. Let j(r) = r. Let m(i) = 4*i. Let g(a) = z*m(a) + 14*j(a). Give g(w(x)).
-4*x
Let w(f) = -f. Let k = -13 + 15. Let x(h) = 118 - 118 + k*h + 2*h. Let m(v) = 7*w(v) + 2*x(v). Let q(a) = 3*a. What is q(m(i))?
3*i
Let o(k) = -4*k. Suppose -3*v - 5*u + 20 = 2, -u = -2*v - 1. Let d(n) = -1. Let y(t) = t + 6. Let m(x) = v*y(x) + 6*d(x). Give m(o(w)).
-4*w
Let n(c) = -c**2 + 3*c. Let p(b) be the first derivative of -b**4/24 + 9*b**2/2 - 13. Let h(u) be the second derivative of p(u). Give n(h(r)).
-r**2 - 3*r
Let k(y) be the second derivative of y**3/6 + y. Let g(a) = 2*a. Suppose -10*f = -29*f + 57. Let p(h) = f*k(h) - 2*g(h). Let t(r) = -7*r. Give t(p(n)).
7*n
Let j(y) = -3*y. Let x(u) = u**2 - 4*u + 6. Let k be x(4). Let v = k - 4. Let g(r) = -46 + 46 - v*r**2. Determine g(j(n)).
-18*n**2
Let n(a) = -7*a. Suppose -10 = 30*d - 35*d. Let o(x) = -10*x**d + 4*x**2 + 10*x**2. Give o(n(z)).
196*z**2
Let s(w) be the second derivative of -5*w**3/6 + 2*w - 67. Let m(u) = -3*u. Give m(s(r)).
15*r
Let g(x) be the second derivative of 1/6*x**4 + 0*x**3 - 51*x + 0 + 0*x**2. Let v(m) be the second derivative of 4*m**3/3 - m. Determine v(g(h)).
16*h**2
Let m(h) = -3*h. Let u(n) = 1621423*n**2. What is m(u(d))?
-4864269*d**2
Let l(v) = 2*v + 121. Let y(d) be the first derivative of -2*d**3/3 + 159. Give y(l(x)).
-8*x**2 - 968*x - 29282
Let r(z) = 2*z**2. Let n(a) = 7*a + 15*a - 33*a + 28*a. What is r(n(v))?
578*v**2
Let d = 106 - 102. Let k(f) = 15 + 4*f**2 - 4*f**2 - 3*f**2 - d. Let h(j) = j. Calculate k(h(z)).
-3*z**2 + 11
Let c(d) be the third derivative of d**4/4 + 7*d**2. Let k(g) be the third derivative of 11*g**4/24 + 154*g**2. Give k(c(t)).
66*t
Let g(m) = 5*m - 5*m + m. Let b(j) = j. Let t(w) be the third derivative of 13*w**4/12 + 5*w**2. Let d(r) = -10*b(r) + t(r). Give d(g(s)).
16*s
Let h(t) = -3*t - 17. Let l(w) = 3*w**2 + 375*w. Calculate h(l(n)).
-9*n**2 - 1125*n - 17
Let c(d) = -4*d**2. Let f(s) be the first derivative of -39*s**2/2 + 62. Calculate f(c(a)).
156*a**2
Let l(c) be the second derivative of -c**3/6 + c. Let k(r) be the first derivative of -16 - 1/3*r**3 + 0*r**2 + 0*r. What is k(l(d))?
-d**2
Let c(s) = -s - 81 + 166 - 85 - s. Let z(j) = -278*j. Determine z(c(i)).
556*i
Let j(f) = 59*f - 37*f - 37*f. Let z(b) = 2*b. Determine z(j(v)).
-30*v
Let z(q) = 6*q + 3. Let o(t) = -7552*t. Determine z(o(f)).
-45312*f + 3
Let k(r) = -6*r. Let j(p) = -p**2 - 6*p. Let a(d) = 16*d**2 + 18*d. Let t(y) = -a(y) - 3*j(y). Calculate k(t(b)).
78*b**2
Let t = 1115 - 1101. Let g(p) be the second derivative of 0*p**2 - t*p + 0 - 1/6*p**3. Let s(x) = -5*x**2. What is g(s(m))?
5*m**2
Let m(u) = -u**2. Let i(a) = -98*a**2. Let q(l) = -2*i(l) - 18*m(l). Let v(y) = 2*y**2. Give v(q(j)).
91592*j**4
Let o(f) = 19*f. Let k(p) = -161*p**2 - 15*p - 1. Determine o(k(d)).
-3059*d**2 - 285*d - 19
Let p(k) = -k**2 - 7*k + 7. Let j(a) = a**2 + 4*a - 4. Let z(g) = -7*j(g) - 4*p(g). Let f(x) = -8*x. Let l(u) = 3*u. Let o(y) = -f(y) + 5*l(y). Give z(o(q)).
-1587*q**2
Let r(f) = 2*f + 94. Let h(w) = -13*w. Give r(h(t)).
-26*t + 94
Let d(k) = 75*k - 33*k - 25*k - 23*k. Let x(u) = -27*u**2. Calculate x(d(j)).
-972*j**2
Let s(c) = 17*c**2 - 3. Let l(j) = -35*j**2 + 5. Let g(a) = -2*a**2 - 2*a + 2. Let n be g(-3). Let b(p) = n*s(p) - 6*l(p). Let y(u) = -2*u. Calculate y(b(v)).
-80*v**2
Let p(u) = -2*u**2 + 75961*u. Let c(i) = -i**2. What is p(c(s))?
-2*s**4 - 75961*s**2
Let c(n) = n. Let l(o) be the second derivative of -3*o + 0 + 0*o**3 + 1/3*o**4 + 3/2*o**2. Calculate c(l(w)).
4*w**2 + 3
Let d(b) be the first derivative of 7/2*b**2 + 0*b + 11. Let p(j) = 5*j**2. Calculate p(d(s)).
245*s**2
Let b(g) = -46*g - 5. Let n(z) = -10*z - 1. Let l(r) = -b(r) + 5*n(r). Let k(x) = 3*x**2 - 13*x. Determine l(k(w)).
-12*w**2 + 52*w
Let i(j) = 12*j. Let q(l) = 24*l. Let g(m) = -13*i(m) + 6*q(m). Suppose c - 1 = 2*c, 0 = r - c - 3. Let a(n) = -5*n**2 - 5*n**2 + 12*n**r. Determine g(a(w)).
-24*w**2
Let c(o) be the third derivative of o**4/24 + o**2. Let n(r) be the third derivative of 7*r**4/2 - r**3/6 + r**2 - 2637. Determine c(n(i)).
84*i - 1
Let r(b) = -140*b + 69*b + 73*b + 20. Let s(p) = 2*p. What is r(s(x))?
4*x + 20
Let n(v) be the first derivative of -v**3 - 434. Let f(y) = 10*y**2. What is f(n(s))?
90*s**4
Let i(g) = 3*g - 1. Let h(v) = v - 2. Let n(j) = -h(j) + i(j). Let c(q) be the third derivative of q**5/60 - 5*q**2. Calculate c(n(d)).
4*d**2 + 4*d + 1
Let u(n) = 2*n**2. Let c(m) = 36*m**2 - 11. Let w = -76 + 70. Let z(x) = -7*x**2 + 2. Let p(v) = w*c(v) - 33*z(v). What is p(u(b))?
60*b**4
Let x(d) = -4*d. Let y(c) = c - 14373. Determine y(x(v)).
-4*v - 14373
Let m(k) = 24*k - 6. Let t be m(10). Suppose -2*b + t = b. Let d(a) = 78 - b - 4*a**2. Let v(y) = -y**2. Give d(v(z)).
-4*z**4
Let m(x) = -452*x. Let b(i) be the third derivative of -i**4/24 + 3*i**2 + 35*i. What is m(b(a))?
452*a
Let k(p) = p. Let i(c) = -2 + 115*c**2 + 7*c - 50*c + 43*c + 27*c**2. Calculate i(k(g)).
142*g**2 - 2
Let p(x) = -x**3 - 2*x + 5. Let m be p(0). Let j(y) = -6*y - 5 + m. Let c(w) = 4*w. Calculate j(c(f)).
-24*f
Let r(b) = 0 - 3*b**2 + 0. Let m(f) be the first derivative of f**4/6 + 51*f + 12. Let o(g) be the first derivative of m(g). Give r(o(j)).
-12*j**4
Let j(h) = -4*h. Let n(k) = -48*k**2 + 24*k + 1. Let d(m) = 96*m**2 - 54*m - 3. Let a(z) = 4*d(z) + 9*n(z). Determine j(a(s)).
192*s**2 + 12
Let q(d) = 2*d**2. Let l(u) = -313859*u. What is q(l(f))?
197014943762*f**2
Let i(n) = -1200*n**2. Let q(k) = 2586*k**2 - 2*k. Calculate q(i(g)).
3723840000*g**4 + 2400*g**2
Suppose 40 = t + 4*t. Let c(f) = t*f - f - 5*f. Let y(i) = -3*i - 135 - 129 + 392 - 128. Calculate c(y(x)).
-6*x
Let t(s) = -2 - 2 - 2 - s + 2. Let d(v) = -12*v. Determine d(t(y)).
12*y + 48
Let c(s) = -14317*s. Let d(y) = 3*y**2. Determine d(c(m)).
614929467*m**2
Let k(z) = z**2 + 18. Let o(w) = 2*w**2 + 24. Let c(l) = -4*k(l) + 3*o(l). Let v(x) = 6*x + 9. What is c(v(y))?
72*y**2 + 216*y + 162
Let f(d) = -4*d. Let p(n) = -3494*n**2. Give p(f(i)).
-55904*i**2
Let o(u) = 9*u - 7. Let i(v) = -26*v + 20. Let j(z) = 4*i(z) + 11*o(z). Let f(d) = 6*d - 4. Let c(y) = 3*f(y) + 4*j(y). Let p(l) = 34*l**2. What is p(c(s))?
136*s**2
Let t(s) be the second derivative of -31*s**3/6 + 93*s. Let b(y) = -5*y**2. Give t(b(n)).
155*n**2
Let s(i) = -65*i**2. Let t(g) = -5*g**2 - g - 9. Calculate t | {
"pile_set_name": "DM Mathematics"
} |
be t/(-49)*49/g. What is the second biggest value in r, 4/3, 0.4?
0.4
Let z(n) = -n**3 + 5*n**2 - 6*n + 3. Let r = -2 + 6. Let x be z(r). Which is the second biggest value? (a) 1/2 (b) x (c) -2
c
Let a = -1.93 - 0.07. Let w = -4 - a. Let f = -0.3 - -0.5. What is the biggest value in 0.3, w, f?
0.3
Suppose -3*l + 6 = 0, 3*z = z + 4*l - 10. Let h = -3 + 5. What is the smallest value in -1/6, h, z?
z
Let m = -64 - -62. What is the biggest value in m, 1, 3?
3
Let y = -6 - -4. Let u = 0.3 + -0.1. Which is the smallest value? (a) u (b) -5 (c) y
b
Let k = 2/87 - -56/87. Let j be ((-3)/2)/(6/(-8)). What is the biggest value in k, 1, j?
j
Let r = -0.122 + 4.122. Which is the fourth smallest value? (a) -5 (b) 1/10 (c) r (d) 11/2
d
Let j = -2.2 + 12.2. Let v = 9.7 - j. What is the third biggest value in 1, 0, v?
v
Let f(h) = -14*h**2 - 7*h - 6. Suppose 4*v + 24 = -5*g, 0*v - 2*v - 14 = 3*g. Let i be f(g). Let y = i + 1816/9. What is the smallest value in -1, y, -5?
-5
Suppose 7 = 2*x + 1. Let w = 4 - x. Let d = -0.358 + 0.058. Which is the second smallest value? (a) w (b) d (c) -1
b
Let y = 8 + -13. Let h = 0 - -1. Let m = 0 - h. What is the third biggest value in 1, y, m?
y
Let g = 21 - 21.33. Let l = g - -0.03. Let x = -0.5 - -0.3. Which is the smallest value? (a) x (b) 0.2 (c) l
c
Let k = -14 + 23. What is the second smallest value in k, 5, 0.3?
5
Let t = -0.07 + 4.07. Let w = 472.9 + -473. Let b = -3 + 2. What is the second biggest value in t, b, w?
w
Suppose 5*g + 15 = 2*g. Let v be ((-9)/7 - -1) + 0. What is the second biggest value in g, v, 0.3?
v
Let q = -0.8 + 1. Let i(t) = -3*t**2 - t + 1. Let a be i(-2). Let g = a - -12. What is the third smallest value in q, g, -3/5?
g
Let z(f) = -2*f**2 + 5*f - 6. Let i be z(1). What is the second biggest value in i, -3/8, -42, -1?
-1
Let a = -110 + 108. Let g = 0.34 - 0.04. Let t = g - 0.4. What is the smallest value in a, -0.4, t?
a
Let v = 12.04 - 12. Let c = -27.56 + 28. Let s = v - c. What is the third smallest value in s, -1/4, 3?
3
Let p = -0.9 - 0. Let k = p + 2.9. Which is the second smallest value? (a) 5 (b) 0.1 (c) k
c
Let d(o) = o**2 + 6*o - 1. Let q be d(-9). Let s be (-34)/(-52) + (-4)/q. Let j = 0.3 - 0.5. Which is the second smallest value? (a) s (b) -5 (c) j
c
Let u be 2/(-2 + 3) + -15. Let l be 2/u + 284/156. What is the biggest value in l, -3, -2?
l
Let z = -0.1 + 0. Let l = -36 + 14. Let u = -22 - l. Which is the second biggest value? (a) z (b) 5 (c) u
c
Let u = 39.2 - 36. Let r = u + -3.1. Let p = 1 + -6. What is the biggest value in p, r, -1/7?
r
Let u = 4 + -7. Let w = -11.7 - -3. Let j = -9 - w. What is the second smallest value in j, 0.2, u?
j
Let s = -15/4 + 53/12. Which is the third smallest value? (a) s (b) -0.5 (c) 6 (d) 0.2
a
Let j = 0 + -0.5. Let x = -24 - -44. Let a be (4/(-10))/((-4)/x). What is the third smallest value in j, a, 2/5?
a
Suppose 0*a = 2*a - 6. Let t = 261.6 - 262. What is the third biggest value in a, 1, t?
t
Let d(q) = q - 1. Let o be d(5). Let n = -0.2 + 0.1. Which is the second smallest value? (a) n (b) 2 (c) o
b
Let j = 1 - 1.4. Suppose -l = 4*m - 50, 0*l - 3*m - 144 = -2*l. Let n = 461/7 - l. Which is the smallest value? (a) 2/7 (b) j (c) n
b
Let g = 0.04 + 0.16. What is the second smallest value in -3/4, 4, g?
g
Let v = 7.7 + -8.2. Which is the third smallest value? (a) v (b) 3 (c) -0.3
b
Let q = 831/4 + -207. Which is the third smallest value? (a) -1 (b) -3 (c) 1 (d) q
d
Let r = 19 + -11. Let t = -10 + r. Which is the second biggest value? (a) -3/2 (b) t (c) 0.3
a
Let y = -0.82 - -35.82. Let l = y - 36.94. Let t = -0.06 + l. What is the smallest value in t, 3/8, 1/4?
t
Let b(p) = -p**2 + 3*p + 4. Let r be b(4). What is the third smallest value in r, 1, -3, 15?
1
Let g(h) = -h - 4. Let y be g(-3). Let l = 0 - 0.4. Let o = -0.7 - l. Which is the second smallest value? (a) o (b) 0.5 (c) y
a
Let h = -0.9 - -0.8. Let r = 0.25 + -0.24. Which is the third biggest value? (a) h (b) -1 (c) r
b
Let q = -167/4 + 42. Which is the third smallest value? (a) -4/5 (b) q (c) -1/3
b
Let f = -2 + 4. Let b be ((-8)/2 - 2) + f. Let d be b/(-10) - (-13)/5. What is the third biggest value in d, -1, -0.1?
-1
Let i = -4.2 + 0.2. Let x(l) = -l**2 - 6*l - 7. Let w be x(-5). Which is the third smallest value? (a) i (b) -2/9 (c) w
b
Let g = 0 - 3. Let x = 3.5 + g. Let c be -1 + 21*(-2)/(-48). What is the second smallest value in x, c, 1?
x
Let w = -31 - -34. Which is the second biggest value? (a) -8 (b) -0.4 (c) w
b
Let n be (-3)/(-7) + (-418)/665. Let v be (1 + 0)*(0 - 83). Let a = v + 244/3. What is the third biggest value in 1, n, a?
a
Let f = 4 - 7. Let o = -607/3 + 201. What is the biggest value in o, -5, f?
o
Let l = -2/821 - 1620/9031. Let v = -0.41 - -0.01. Let j be (-1 + -2)*(330/(-108) - -3). What is the biggest value in v, j, l?
j
Let l = 0.11 - -0.69. Let y = 0.8 - l. What is the second smallest value in -2/7, -0.2, y?
-0.2
Let o = -0.19 - 3.11. Let q = -38 - -35. Let u = o - q. Which is the biggest value? (a) 1 (b) u (c) -2/9
a
Let z = 1.81 + -1.8. Which is the smallest value? (a) -2 (b) -0.3 (c) z
a
Let r be 20/6 + (-4)/12. Suppose 0*i + 2*i - r*j + 6 = 0, 2 = -2*i + j. Suppose 2*s = 1 - 9. What is the second smallest value in i, s, -0.5?
-0.5
Let r = -388 - -397.16. Let x = 0.16 - r. Which is the second smallest value? (a) 0.4 (b) -2/9 (c) x
b
Let k = -1 + 1.1. Let y = -0.3 + k. Suppose -5*x - 2*j = 6 - 1, -5*j = 0. Which is the biggest value? (a) x (b) y (c) -3/5
b
Let k = -1 - -2. What is the third biggest value in 1/4, k, -2?
-2
Let z = -0.1 + 0.4. Let d = -0.1 + z. Let y = -0.416 - -0.016. Which is the smallest value? (a) 0.1 (b) d (c) y
c
Let p be (2/5)/(88/(-40)) + 0. Let u = 3.93 + 0.07. Which is the third biggest value? (a) p (b) 2 (c) u
a
Let k(o) = -o**2 + 8*o - 3. Let l be k(7). Let s = 1 + l. Let f = 0.4 + -0.9. Which is the biggest value? (a) f (b) s (c) -0.3
b
Suppose 0 = -3*y + 6*y. Let f(j) = -3*j**3 + j**2 - 1. Let g be f(-1). Let p = -2 + g. Which is the biggest value? (a) -4 (b) y (c) p
c
Let n = -31 + 27. Which is the smallest value? (a) n (b) 5 (c) 3
a
Let f = 0.3 - 0.8. Let g be (0 - 0) + (1 - -4). What is the smallest value in 0, f, g?
f
Let t be (-2)/9 + 58/18. Suppose -2*h = h - 3. Let w be 60/42 - (h + 0). Which is the third smallest value? (a) w (b) t (c) 1
b
Let h = -4 - -3. Let i = 33.3 + -32. Let t = i + h. What is the smallest value in -0.2, -2/9, t?
-2/9
Let t = 242.5 - 242. Let p be ((-2)/10)/((-1)/(-2)). Which is the second biggest value? (a) p (b) -3/7 (c) t
a
Let w be ((-6)/76)/(33/44). Let s = -0.6 + 0.2. Which is the third biggest value? (a) s (b) w (c) -0.1
a
Let y = -4 + 7. Let q = -0.465 - -5.465. Which is the biggest value? (a) y (b) -3 (c) q
c
Let n = 26.8 - 27. What is the biggest value in -2/7, 0.3, n?
0.3
Let q = -4.14 + 0.14. Let r = 0.08 + -0.38. Which is the third smallest value? (a) 0.1 (b) r (c) q
a
Let c = -72.91 - -74. Let p = c + -0.09. What is the third smallest value in p, -3, 1/5?
p
Let h be (1901/(-18))/((-2)/4). Let t be (-2)/11 + 2323/11. Let n = t - h. Which is the biggest value? (a) 4 (b) -0.2 (c) n
a
Let k = -135 + 40. Let i = -91.1 - k. Let l = -4 + i. Which is the third smallest value? (a) -2 (b) 2 (c) l
b
Let s = 2 - 2.2. Let q = -0.15 - s. Let l = 1.95 + q. Which is the second biggest value? (a) -0.4 (b) -6/11 (c) l
a
Suppose -3 + 13 = 5*n. Which is the second smallest value? (a) -0.3 (b) -2 (c) n (d) 1/4
a
Let t = -8/17 - -38/153. What is the second biggest value in t, 1/4, -2?
t
Let o = 100 + -111.1. Let p = o - -11. What is the biggest value in p, 0, -4?
0
Let i = -79 + 473/6. Let w = -0.07 + 0.07. Let r = 0.2 + w. Which is the second biggest value? (a) -4 (b) i (c) r
b
Let h = 0.02 + -0.09. Let r = 2.07 + h. Let s be 0 - ((-57)/21 + 3). Which is the biggest value? (a) 0.3 (b) r (c) s
b
Let h = -0.1 - -0.6. Let d = 104 - 109. What is the smallest value in d, h, -6?
-6
Suppose -g - 6*g + 2*g = 0. What is the smallest value in g, -1/3, 4/7, 2?
-1/3
Let k = -7 + 3. Which is the third biggest value? (a) -3 (b) k (c) 4
b
Let d be (-6)/(-84)*-4*1. Let u(v) = 8*v. Let g be u(-1). | {
"pile_set_name": "DM Mathematics"
} |
emainder when 876 is divided by 369.
138
What is the remainder when 93704 is divided by 18728?
64
What is the remainder when 19584 is divided by 7?
5
What is the remainder when 12359 is divided by 1756?
67
Calculate the remainder when 4413 is divided by 127.
95
What is the remainder when 962 is divided by 172?
102
Calculate the remainder when 820 is divided by 182.
92
What is the remainder when 316917 is divided by 24?
21
Calculate the remainder when 51199 is divided by 104.
31
What is the remainder when 21411 is divided by 433?
194
What is the remainder when 4114 is divided by 1959?
196
Calculate the remainder when 288636 is divided by 79.
49
What is the remainder when 3901 is divided by 3852?
49
Calculate the remainder when 10825 is divided by 60.
25
What is the remainder when 13614 is divided by 768?
558
Calculate the remainder when 9785 is divided by 7.
6
What is the remainder when 376476 is divided by 416?
412
What is the remainder when 177 is divided by 137?
40
What is the remainder when 653994 is divided by 29?
15
What is the remainder when 1472326 is divided by 33?
31
Calculate the remainder when 44776 is divided by 14925.
1
Calculate the remainder when 400135 is divided by 1235.
1230
What is the remainder when 5609 is divided by 106?
97
Calculate the remainder when 17438 is divided by 482.
86
Calculate the remainder when 7185 is divided by 1139.
351
What is the remainder when 3530 is divided by 3518?
12
Calculate the remainder when 39770 is divided by 620.
90
What is the remainder when 15467 is divided by 294?
179
What is the remainder when 75497 is divided by 921?
896
What is the remainder when 454842 is divided by 14672?
10
Calculate the remainder when 319 is divided by 41.
32
What is the remainder when 14343 is divided by 573?
18
Calculate the remainder when 19811 is divided by 56.
43
What is the remainder when 742648 is divided by 6?
4
What is the remainder when 7226613 is divided by 853?
850
Calculate the remainder when 63734 is divided by 837.
122
Calculate the remainder when 810436 is divided by 6.
4
What is the remainder when 15298 is divided by 51?
49
What is the remainder when 301394 is divided by 2216?
18
Calculate the remainder when 25875 is divided by 63.
45
What is the remainder when 211408 is divided by 810?
808
Calculate the remainder when 51989 is divided by 684.
5
Calculate the remainder when 9815 is divided by 2447.
27
Calculate the remainder when 23581 is divided by 482.
445
What is the remainder when 7698 is divided by 51?
48
Calculate the remainder when 61235 is divided by 2783.
9
Calculate the remainder when 577 is divided by 139.
21
Calculate the remainder when 148408 is divided by 7810.
18
What is the remainder when 111932 is divided by 305?
302
Calculate the remainder when 6325 is divided by 577.
555
Calculate the remainder when 25626 is divided by 15.
6
Calculate the remainder when 23712 is divided by 13.
0
What is the remainder when 109201 is divided by 94?
67
Calculate the remainder when 4239 is divided by 659.
285
What is the remainder when 6467 is divided by 587?
10
What is the remainder when 59264 is divided by 439?
438
What is the remainder when 46214 is divided by 67?
51
What is the remainder when 14453 is divided by 466?
7
Calculate the remainder when 1726845 is divided by 48.
45
Calculate the remainder when 4188 is divided by 76.
8
Calculate the remainder when 1895633 is divided by 40.
33
Calculate the remainder when 809 is divided by 76.
49
Calculate the remainder when 174744 is divided by 174701.
43
Calculate the remainder when 6954 is divided by 3470.
14
What is the remainder when 31244 is divided by 428?
0
Calculate the remainder when 120998 is divided by 968.
966
What is the remainder when 29024 is divided by 2073?
2
What is the remainder when 264186 is divided by 444?
6
What is the remainder when 188202 is divided by 67?
66
What is the remainder when 307826 is divided by 17?
7
What is the remainder when 65671 is divided by 2447?
2049
Calculate the remainder when 6412 is divided by 916.
0
What is the remainder when 172568 is divided by 172556?
12
What is the remainder when 1393 is divided by 450?
43
What is the remainder when 1192 is divided by 1172?
20
Calculate the remainder when 7767 is divided by 38.
15
What is the remainder when 114162 is divided by 387?
384
What is the remainder when 17235 is divided by 97?
66
What is the remainder when 1024 is divided by 413?
198
What is the remainder when 327567 is divided by 27295?
27
Calculate the remainder when 94 is divided by 16.
14
Calculate the remainder when 41010 is divided by 9.
6
Calculate the remainder when 10489 is divided by 21.
10
What is the remainder when 1155438 is divided by 3?
0
What is the remainder when 390861 is divided by 68?
65
What is the remainder when 8410 is divided by 108?
94
What is the remainder when 9152 is divided by 2288?
0
Calculate the remainder when 1247596 is divided by 14.
0
Calculate the remainder when 60674 is divided by 333.
68
What is the remainder when 102489 is divided by 10?
9
Calculate the remainder when 23708 is divided by 344.
316
Calculate the remainder when 14381 is divided by 153.
152
What is the remainder when 48311 is divided by 146?
131
What is the remainder when 18752 is divided by 161?
76
What is the remainder when 8549 is divided by 1420?
29
Calculate the remainder when 5161 is divided by 1668.
157
What is the remainder when 946 is divided by 244?
214
What is the remainder when 57017 is divided by 1896?
137
What is the remainder when 11834 is divided by 11824?
10
Calculate the remainder when 3583 is divided by 302.
261
Calculate the remainder when 7785 is divided by 184.
57
What is the remainder when 8193 is divided by 149?
147
What is the remainder when 1600063 is divided by 45?
43
What is the remainder when 6580 is divided by 1497?
592
Calculate the remainder when 384250 is divided by 64.
58
What is the remainder when 526197 is divided by 2318?
11
What is the remainder when 125501 is divided by 106?
103
Calculate the remainder when 59538 is divided by 817.
714
What is the remainder when 654 is divided by 175?
129
Calculate the remainder when 199 is divided by 189.
10
What is the remainder when 13329 is divided by 2168?
321
What is the remainder when 1128 is divided by 283?
279
Calculate the remainder when 8503 is divided by 2815.
58
Calculate the remainder when 1821 is divided by 87.
81
What is the remainder when 38001 is divided by 799?
448
What is the remainder when 1899686 is divided by 8?
6
Calculate the remainder when 1244584 is divided by 409.
406
Calculate the remainder when 136210 is divided by 451.
8
Calculate the remainder when 3219 is divided by 610.
169
Calculate the remainder when 11807 is divided by 36.
35
What is the remainder when 31099 is divided by 798?
775
What is the remainder when 5105 is divided by 255?
5
What is the remainder when 1767 is divided by 123?
45
What is the remainder when 21093 is divided by 21?
9
What is the remainder when 1103241 is divided by 178?
175
Calculate the remainder when 38023 is divided by 71.
38
Calculate the remainder when 4246 is divided by 73.
12
What is the remainder when 17081 is divided by 164?
25
What is the remainder when 2461827 is divided by 14?
11
What is the remainder when 5534372 is divided by 20?
12
What is the remainder when 51725 is divided by 6?
5
Calculate the remainder when 23679 is divided by 11823.
33
Calculate the remainder when 17197 is divided by 7.
5
Calculate the remainder when 125572 is divided by 63.
13
Calculate the remainder when 14020 is divided by 271.
199
Calculate the remainder when 817737 is divided by 420.
417
What is the remainder when 17219 is divided by 5660?
239
What is the remainder when 49701 is divided by 2661?
1803
What is the remainder when 7252 is divided by 142?
10
Calculate the remainder when 36861 is divided by 38.
1
Calculate the remainder when 247783 is divided by 6353.
16
What is the remainder when 8750 is divided by 1749?
5
Calculate the remainder when 455397 is divided by 200.
197
What is the remainder when 193661 is divided by 477?
476
What is the remainder when 886 is divided by 271?
73
Calculate the remainder when 99485 is divided by 33158.
11
Calculate the remainder when 24366 is div | {
"pile_set_name": "DM Mathematics"
} |
6*k - 72360.
4*(k - 603)*(k - 10)*(7*k - 3)
Find s, given that -s**4/3 - 19*s**3/3 + 20*s**2/3 = 0.
-20, 0, 1
Suppose -5*n**2 + 128100*n + 384345 = 0. What is n?
-3, 25623
Solve 512*d**3 - 10244*d**2 + 51280*d - 400 = 0.
1/128, 10
Factor z**2/3 - 2768*z/3 - 5548.
(z - 2774)*(z + 6)/3
Factor x**4 + 83*x**3 - 90*x**2 - 504*x.
x*(x - 3)*(x + 2)*(x + 84)
Factor 3*g**2/4 - 27363*g + 109449/4.
3*(g - 36483)*(g - 1)/4
Find f such that -3*f**2 + 3738*f + 11241 = 0.
-3, 1249
Let -27*d**5/4 - 12315*d**4/2 - 54639*d**3/4 - 8874*d**2 - 1365*d = 0. Calculate d.
-910, -1, -2/9, 0
Suppose -v**5/3 - 54*v**4 - 3043*v**3/3 - 3862*v**2 - 3256*v/3 + 6016 = 0. Calculate v.
-141, -16, -4, -2, 1
Let -2*u**2/11 + 20*u/11 - 18/11 = 0. What is u?
1, 9
Factor -b**4 - 205*b**3 - 8112*b**2 - 90432*b.
-b*(b + 24)**2*(b + 157)
What is a in 3*a**5/7 - 19119*a**4/7 + 30566229*a**3/7 - 333919113*a**2/7 = 0?
0, 11, 3181
Find o, given that -2*o**5/9 - 62*o**4/9 - 686*o**3/9 - 3490*o**2/9 - 8200*o/9 - 7000/9 = 0.
-14, -5, -2
Factor k**3/3 + 14218*k**2/3 - 14221*k.
k*(k - 3)*(k + 14221)/3
Suppose -15*a**5/4 + 355*a**4/2 - 375*a**3/4 - 6180*a**2 - 4025*a = 0. What is a?
-5, -2/3, 0, 7, 46
Factor -f**3/4 + 3048*f**2 - 9356997*f + 405828236.
-(f - 6074)**2*(f - 44)/4
Factor -t**3/4 - 2475*t**2/2 - 49425*t/4 - 30875.
-(t + 5)**2*(t + 4940)/4
Factor -3*t**2/7 - 87429*t/7 - 1136070/7.
-3*(t + 13)*(t + 29130)/7
Factor -5*o**2 - 67410*o - 471625.
-5*(o + 7)*(o + 13475)
Suppose -2*v**3/11 - 34*v**2/11 + 992*v/11 + 1024/11 = 0. Calculate v.
-32, -1, 16
Factor -5*g**2 - 187730*g - 1762127645.
-5*(g + 18773)**2
Determine o so that -o**2 - 146569*o + 439716 = 0.
-146572, 3
Factor 5*w**3 + 27450*w**2 + 37399125*w - 759002500.
5*(w - 20)*(w + 2755)**2
Determine q so that -5*q**5 - 315*q**4 - 3775*q**3 + 58575*q**2 + 566280*q - 2874960 = 0.
-33, -12, 4, 11
Factor 2*t**3/7 - 38*t**2 + 3568*t/7 - 472.
2*(t - 118)*(t - 14)*(t - 1)/7
Find l such that l**3/2 - 338*l**2 + 6649*l/2 + 3663 = 0.
-1, 11, 666
What is h in -2*h**2/7 + 165708*h - 24026748606 = 0?
289989
Let -615*s**2 + 2461*s/2 - 1 = 0. Calculate s.
1/1230, 2
Solve 3*l**4 - 4254*l**3 - 9*l**2 + 12768*l - 8508 = 0 for l.
-2, 1, 1418
Determine y, given that 3*y**4 + 4263*y**3 + 4260*y**2 = 0.
-1420, -1, 0
Factor -3*g**3/4 - 69*g**2 - 6393*g/4 - 1530.
-3*(g + 1)*(g + 40)*(g + 51)/4
Find r such that -3*r**4/8 + 39*r**3/8 + 1791*r**2/8 - 3687*r/8 + 465/2 = 0.
-20, 1, 31
Suppose 5*t**2 - 2687380*t + 361100563220 = 0. Calculate t.
268738
Factor 2*i**2/11 + 4608*i/11 + 9208/11.
2*(i + 2)*(i + 2302)/11
Solve 3*g**3/4 - 1857*g**2/4 + 63069*g/4 - 61215/4 = 0 for g.
1, 35, 583
Factor -3*q**3 + 512652*q**2 - 21901518735*q + 43800986886.
-3*(q - 85441)**2*(q - 2)
Factor 5*h**3 - 926015*h**2 + 42871947775*h + 300149010875.
5*(h - 92605)**2*(h + 7)
Factor 85805*q**3/2 + 2830255*q**2 - 86450*q + 660.
5*(q + 66)*(131*q - 2)**2/2
Suppose -h**3/5 + 2761*h**2/5 - 1887707*h/5 - 25008997/5 = 0. What is h?
-13, 1387
Suppose -2*j**3 - 210700*j**2 - 5549521944*j - 11098201104 = 0. Calculate j.
-52674, -2
Solve 2*b**4 - 2102*b**3 - 2104*b**2 = 0 for b.
-1, 0, 1052
Suppose -2*n**5/21 - 530*n**4/21 - 1750*n**3/3 - 60430*n**2/21 - 34476*n/7 - 18240/7 = 0. Calculate n.
-240, -19, -3, -2, -1
Factor -3*g**2/5 - 975*g - 29142/5.
-3*(g + 6)*(g + 1619)/5
Suppose 2*g**5 - 1016*g**4 + 10032*g**3 - 35964*g**2 + 53838*g - 26892 = 0. Calculate g.
1, 3, 498
Let -i**3/3 - 1534*i**2/3 + i/3 + 1534/3 = 0. Calculate i.
-1534, -1, 1
Factor j**2/10 - 3127*j/5 + 6252/5.
(j - 6252)*(j - 2)/10
Solve -v**2 - 5475*v + 5476 = 0.
-5476, 1
Find q such that q**2/7 + 1035*q/7 + 72000/7 = 0.
-960, -75
Determine z so that -10*z**3/9 + 369399*z**2 + 2992138*z/9 + 73880 = 0.
-1/2, -2/5, 332460
Factor 3*b**2 + 3581196*b + 1068747065868.
3*(b + 596866)**2
Solve -2*h**3/7 + 114*h**2/7 - 306*h + 1890 = 0.
15, 21
Let -4*r**4 - 60*r**3 + 252*r**2 + 2140*r + 2856 = 0. Calculate r.
-17, -3, -2, 7
What is m in -2*m**3/7 + 884*m**2/7 + 5358*m/7 + 1152 = 0?
-3, 448
Factor -2*g**4/7 + 9132*g**3/7 + 82296*g**2/7 + 246996*g/7 + 247050/7.
-2*(g - 4575)*(g + 3)**3/7
Suppose 117*k**2 - 10698*k + 4641 = 0. Calculate k.
17/39, 91
Solve -18*o**2/7 - 485204*o/7 + 107824/7 = 0 for o.
-26956, 2/9
Solve 5*p**3/3 - 5725*p**2/3 - 1910*p = 0.
-1, 0, 1146
Suppose -2*x**2 - 213492*x - 5697354258 = 0. What is x?
-53373
Find h such that -2*h**3/11 + 152046*h**2/11 + 304098*h/11 + 152050/11 = 0.
-1, 76025
Factor -2*d**2/7 + 65620*d/7 - 538248050/7.
-2*(d - 16405)**2/7
Suppose 7*c**4 + 264*c**3 + 1233*c**2 - 6884*c + 1860 = 0. Calculate c.
-31, -10, 2/7, 3
Factor 5*q**3 + 15330*q**2 + 30645*q + 15320.
5*(q + 1)**2*(q + 3064)
Factor -l**2 + 111556*l - 3111185284.
-(l - 55778)**2
Determine v so that -2*v**3 - 16106*v**2 - 32417350*v + 32433458 = 0.
-4027, 1
Solve 5*b**5 - 140*b**4 - 2145*b**3 = 0 for b.
-11, 0, 39
What is t in 3*t**5/4 - 118*t**4 + 7181*t**3/4 + 3483*t**2 - 2501*t - 2660 = 0?
-2, -2/3, 1, 19, 140
Let 2*h**4/9 - 490*h**3/9 - 1508*h**2/3 - 12160*h/9 - 8128/9 = 0. Calculate h.
-4, -1, 254
Factor 2*g**4 - 3402*g**3 + 788964*g**2 - 65306680*g + 1835657616.
2*(g - 1443)*(g - 86)**3
Suppose -3*a**3 + 6345*a**2 + 115131*a + 108783 = 0. What is a?
-17, -1, 2133
Suppose 2*t**2/7 + 10028*t/7 - 17232 = 0. Calculate t.
-5026, 12
Factor -5*u**3 - 68790*u**2 - 236946780*u - 2362593800.
-5*(u + 10)*(u + 6874)**2
Let -a**4 - 1380*a**3 - 10981*a**2 - 6810*a + 68600 = 0. What is a?
-1372, -5, 2
Solve -t**4/2 - 21*t**3 - 341*t**2/2 - 336*t = 0.
-32, -7, -3, 0
Let 3*u**3/2 - 16722*u**2 - 167283*u/2 - 66918 = 0. Calculate u.
-4, -1, 11153
Find p, given that -p**2/7 - 2756*p/7 = 0.
-2756, 0
Factor 2*a**2 + 64982*a - 64984.
2*(a - 1)*(a + 32492)
Solve 5*k**5 - 135255*k**4 + 913951270*k**3 + 10073220670*k**2 - 22887754155*k + 11900717465 = 0 for k.
-13, 1, 13531
Determine u so that 3*u**4/5 + 13446*u**3/5 - 202221*u**2/5 + 129552*u + 863424/5 = 0.
-4497, -1, 8
Solve w**4/6 - 118*w**3/3 + 1619*w**2/6 - 1838*w/3 + 458 = 0 for w.
2, 3, 229
Suppose z**4/12 + 499*z**3/12 + 7499*z**2/4 + 21005*z/12 - 22001/6 = 0. What is z?
-449, -49, -2, 1
Find n such that -n**3/5 - 651747*n**2/5 - 106193212128*n/5 + 106193863876/5 = 0.
-325874, 1
Solve -2*v**4/3 - 88*v**3/3 + 2486*v**2/3 - 4700*v/3 + 768 = 0.
-64, 1, 18
Determine s, given that 3789*s**4 + 3801*s**3 + 12*s**2 = 0.
-1, -4/1263, 0
Determine x so that 4*x**5 - 96*x**4 - 1204*x**3 + 17360*x**2 + 230400*x + 640000 = 0.
-8, -5, 20, 25
Suppose g**4/3 + 104*g**3 + 2449*g**2/3 + 1726*g + 3040/3 = 0. Calculate g.
-304, -5, -2, -1
Factor 3*u**4 + 1251*u**3 - 6321*u**2 + 3825*u + 11394.
3*(u - 3)**2*(u + 1)*(u + 422)
Factor -207647869235*l**4 + 179885535*l**3 - 51945*l**2 + 5*l.
-5*l*(3463*l - 1)**3
Factor -15*l**3 - 13985*l**2 - 4650*l + 9320.
-5*(l + 1)*(l + 932)*(3*l - 2)
Factor -2*x**2/3 + 1086*x + 106304/3.
-2*(x - 1661)*(x + 32)/3
Factor -w**2/4 + 91133*w/2 - 8305223689/4.
-(w - 91133)**2/4
Factor -2*b**3 - 210*b**2 - 1206*b - 1782.
-2*(b + 3)**2*(b + 99)
Factor -4*f**2 - 3392*f - 412188.
-4*(f + 147)*(f + 701)
Factor -5*s**3 + 678455*s**2 - 23014720120*s - 23015398580.
-5*(s - 67846)**2*(s + 1)
Suppose -g**2/4 + 141459*g/4 + 35365 = 0. What is g?
-1, 141460
Find b such that b**3/6 - 155*b**2/6 - 334*b/3 + 848 = 0.
-8, 4, 159
Let -c**4/7 - 550*c**3/7 - 5544*c**2 - 754650*c/7 - 716391/7 = 0. What is c?
-471, -39, -1
Factor 2*z**5 + 840*z**4 + 80154*z**3 - 1726596*z**2.
2*z**2*(z - 18)*(z + 219)**2
Factor 5*w**2 - 1188000*w + 1187995.
5*(w - 237599)*(w - 1)
Factor -p**2/9 - 40973*p/3 + 245842/9.
-(p - 2)*(p + 122921)/9
Factor 4*r**2 + 17932*r - 360240.
4*(r - 20)*(r + 4503)
Let l**4 - 54*l**3/5 - 81*l**2/5 + 106*l/5 + 24/5 = 0. Calculate l.
-2, -1/5, 1, 12
Determine j so that 64*j**4/3 + 9173*j**3 - 28142*j**2/3 - 18245*j + 862/3 = 0.
-431, -1, 1/64, 2
Suppose 3451273*d**5 + 32409513*d**4 + 65326206*d**3 - 2511970*d**2 + 31929*d - 135 = 0. What is d?
-45/7, -3, 1/79
Factor w**2/4 - 265*w/4 - 6273/2.
(w - 306)*(w + 41)/4
Factor -r**2 - 11549*r + 11550.
-(r - 1)*(r + 11550)
Let 3*p**4/8 - 51*p**3/8 + 81*p**2/4 + 27*p = 0. Calculate p.
-1, 0, 6, 12
Solve -q**5 + 2731*q**4 - 38110*q**3 + 195786*q**2 - 440289*q + 366795 = 0.
3, 5, 2717
Find s such that 3*s**5/2 - 1155*s**4/2 + 33597*s**3 + 4243779*s**2 + 156 | {
"pile_set_name": "DM Mathematics"
} |
u. What is o rounded to two dps?
0.01
Let u(t) = -t**3 + 7*t**2 - 5*t. Let b be u(6). Suppose -w + b*w = -315. What is w rounded to the nearest ten?
-60
Let p = 4 - 5. Let q be p/(-1 - (-6)/9). Suppose -2*j + n + 1360010 = q*n, -5*j - n + 3400005 = 0. Round j to the nearest one hundred thousand.
700000
Let q = -6.639999651 + 6.64. What is q rounded to 7 decimal places?
0.0000003
Let p be ((-84)/(-35))/(2/5). Suppose 6*k = 3*k + 148500. Let y be ((-3200)/p)/(3/k). Round y to the nearest one million.
-9000000
Let g = 10.05 + -1.95. What is g rounded to zero dps?
8
Let r = -1.1 + 1.6. Let l = -0.424 + r. What is l rounded to 2 decimal places?
0.08
Let p(i) = -85*i**3 + 17*i**2 - 2*i - 2. Let g be p(-7). Round g to the nearest one million.
0
Let x = -85.9 - -82. What is x rounded to the nearest integer?
-4
Let r = 0.07 - 0.07. Let u = 0.00044 - r. Round u to four decimal places.
0.0004
Suppose 743 + 7 = -2*a. Let b be a/(((-21)/(-216))/(-7)). What is b rounded to the nearest 10000?
30000
Let s = -169 + 178.1. Round s to the nearest 10.
10
Let u = -2 - -7. Let c = -4.7 + u. Let z = c + -5.1. What is z rounded to zero dps?
-5
Let m = 42.14 + -5.04. Round m to the nearest ten.
40
Let k = 2444591233 - 2444591192.99999916. Let y = k - 40. Round y to 7 decimal places.
0.0000008
Let w(n) = -1827272*n + 8. Let a = 13 - 24. Let m be w(a). What is m rounded to the nearest 1000000?
20000000
Let o = -12 - -15.5. Let d = o + -0.5. Let x = -3.24 + d. Round x to 1 dp.
-0.2
Let o(p) = -70*p**3 + 3*p**2 + 3*p + 1. Let g be o(-2). Suppose 3*n = -g - 1623. What is n rounded to the nearest 100?
-700
Let c = -5140 - -10615. Let f = 29871 + -16396. Let y = c - f. What is y rounded to the nearest 1000?
-8000
Let u = -77.5974 + -10.4536. Let f = 88 + u. Let g = f - -0.0509954. What is g rounded to 6 decimal places?
-0.000005
Let z(d) = -9 - 1 - 6*d**2 - d**3 - 7*d - 2*d**2. Let x be z(-7). Round x to the nearest one hundred.
0
Let x = 3898056 + -3898024.999896. Let i = -31 + x. What is i rounded to five dps?
0.0001
Let j = -61 - -61.174. Round j to two decimal places.
0.17
Let v = 1854.1999458 + -1872.19995. Let b = 17.83 - -0.17. Let n = v + b. Round n to 6 decimal places.
-0.000004
Let k(c) = 8*c**2 - 20*c - 3. Let z be k(14). Let f = -545 + z. What is f rounded to the nearest one hundred?
700
Let j(a) = a**3 - 4*a**2 - 3*a - 7. Let w be j(5). Let m(v) = 218*v**3 + 3*v**2 - 3*v - 4. Let x be m(w). What is x rounded to the nearest one thousand?
6000
Let n = 0 - 0.04. Let z = -6.972 - -7. Let q = n + z. What is q rounded to two decimal places?
-0.01
Let f = -0.087 + 0.1112. Round f to 3 dps.
0.024
Let f = -49 + 49.92. Let z = 1.5 - f. Round z to one decimal place.
0.6
Let l(q) = q**2 - 8*q + 7. Let i be l(5). Let u be 909998/(-7) + i/28. What is u rounded to the nearest ten thousand?
-130000
Let p = -334 - -332.63. Let y = 13.77 + p. What is y rounded to the nearest integer?
12
Let w(k) = k**2 + 5*k. Let c be w(-6). Let f(y) = -y. Let b be f(c). Let p be 42599991/b + 6/(-4). Round p to the nearest one million.
-7000000
Let a = -0.18 - -0.05. Let g = 1949824 - 1949824.1300091. Let n = g - a. Round n to 6 decimal places.
-0.000009
Suppose 4*x + 5*y + 4712 = 3*y, 5*y - 20 = 0. Round x to the nearest 1000.
-1000
Let v = 8160254 + -8160260.0000021. Let d = -4 + 10. Let w = d + v. What is w rounded to 6 decimal places?
-0.000002
Let f = 3.0344 + -15.4274. Let s = f + -0.007. What is s rounded to the nearest integer?
-12
Let k = -1.72 - -8.68. Let c = k - 7. Let i = c - -0.040011. What is i rounded to six decimal places?
0.000011
Let f = 1599 - 939. What is f rounded to the nearest one hundred?
700
Let s = 5 - 4.75. Let k = s - 0.224. What is k rounded to two dps?
0.03
Let y = -743 - -742.4046. Let f = 0.59 + y. Round f to three decimal places.
-0.005
Let o = -0.33 - 2.27. Let h = 1.77475 - -0.825312. Let t = h + o. What is t rounded to 5 dps?
0.00006
Suppose -n + 4 + 2 = 0. Suppose 0 = 3*m + n - 21. Round m to the nearest 10.
10
Let v = 4422 - 4422.8659. Let j = 0.86 + v. Round j to 3 decimal places.
-0.006
Let p(c) be the first derivative of 2521309*c**3/3 + c**2 + 2*c + 1. Let l be p(-3). Let z = 8891777 - l. What is z rounded to the nearest one million?
-14000000
Let a = -0.17 + 0.17039. What is a rounded to four dps?
0.0004
Let t = -35.046 + 35. Let j = 6 + -6.05. Let z = j - t. What is z rounded to two decimal places?
0
Let c = -5.9 + 5.90000024. Round c to 6 dps.
0
Suppose 5*m + 0*j = -5*j - 575, 3*m + 343 = -4*j. What is m rounded to the nearest 10?
-120
Let o be (1/(-2))/((-2)/24). Let w be 25/(-10)*(-8)/10. Let k be (-3362)/o - w/(-6). What is k rounded to the nearest 100?
-600
Let x = 3 + -3.04. Let j = x + 0.53. Let b = j + -0.4900029. What is b rounded to six dps?
-0.000003
Let g = 119.00231 - 119. Round g to 3 decimal places.
0.002
Let n = -34320 + 34320.53977. Let r = n + -0.54. Round r to 4 decimal places.
-0.0002
Let z = -3 + 4. Let t = -2283 + 2282.000014. Let m = t + z. Round m to five decimal places.
0.00001
Let o = -19694980655.1999991 - -19694966308. Let a = o - -14346.6. Let u = a - -0.6. What is u rounded to seven dps?
0.0000009
Let n = 2768007 + -1604705. Suppose 0 = 4*q + 5*z + 2439985, 3*z + 56689 = -2*q - n. Round q to the nearest one hundred thousand.
-600000
Let f = -0.24 + 1.34. Let c = -144 + 145.03. Let q = c - f. Round q to one decimal place.
-0.1
Suppose 0 = 3*c + 3. Let o be 89 - (-2 + c + 4). Let i be (o - 2)/(3/(-150)). What is i rounded to the nearest one thousand?
-4000
Let m = -7 + 32. Let x = m - 30.8. Round x to the nearest integer.
-6
Let b = -464.999999707 - -465. Round b to 7 dps.
0.0000003
Let p = -4069 - -2527. Let o = -2202 - p. What is o rounded to the nearest one hundred?
-700
Let y = -5 - -5.00000315. What is y rounded to seven dps?
0.0000032
Let n = 15 - 11. Let p = n - 4.0000008. What is p rounded to 6 dps?
-0.000001
Let q(r) = -r**2 - 24*r + 10. Let y be q(-23). What is y rounded to the nearest ten?
30
Let q(w) = w**3 - 3*w**2 - 7*w + 6. Let f be q(4). Let i = f + 10. Suppose 170 + 670 = -i*b. Round b to the nearest one hundred.
-200
Let a be 1047/(2 + 3/(-3)). Suppose -125 = z + a. Let n = -592 - z. What is n rounded to the nearest one hundred?
600
Let m = -25.15 + 25. What is m rounded to 1 decimal place?
-0.2
Let d(u) = -40*u**2 + 10*u - 17. Let w be d(3). Round w to the nearest 10.
-350
Let v = -5.9 + -30.1. Let j = -36.0124 - v. What is j rounded to three decimal places?
-0.012
Let k = 2 - 2.4. Let g = k - -0.35. Let p = -0.0499868 - g. What is p rounded to 6 decimal places?
0.000013
Let v(l) = 4218*l**2 - 7*l - 8. Let k be v(-8). What is k rounded to the nearest 100000?
300000
Let x(b) be the first derivative of 5*b**3/3 - 3*b**2/2 - 10*b - 6. Let g be x(-10). Round g to the nearest 100.
500
Let u = -17 + 12. Let z = u - -5.3. Let n = -0.2999989 + z. Round n to six dps.
0.000001
Let b = -959.52587746 - 147.33411824. Let t = b + 1108.16. Let w = t + -1.3. What is w rounded to six decimal places?
0.000004
Let s = -5 - -10. Let t be s + -4 + -1*2. Let d be 0 + t - (-3 - -9700002). Round d to the nearest one million.
-10000000
Suppose 0*q + 5*q + r = -23, 0 = -4*q - 2*r - 16. Let y(g) = -800*g - 2 + 2. Let d be y(q). Round d to the nearest ten thousand.
0
Let u(b) = 151*b. Let t be u(1). Let r = -86 + t. Round r to the nearest ten.
70
Let v = -0.5 - -1.5. Let f = v - 3. Let k = f - -1.999984. Round k to five dps.
-0.00002
Let i = -0.295 - -0.2817. Round i to three decimal places.
-0.013
Let i = -0.6 - -15.6. Let c = i - 14.9947. Round c to 3 decimal places.
0.005
Let b = -6 - -5.905. Let v = b - -0.0949959. What is v rounded to 6 decimal places?
-0.000004
Let v = 0.5 - 0.27. Let d = v - 0.229998. What is d rounded to 6 decimal places?
0.000002
Let s(z) = -320*z. Suppose -3*k + 10 = -5. Suppose k*y + 8 = -2. Let c be s(y). What is c rounded to the nearest one hundred?
600
Let k be ((-1)/2*-4)/(-2). Let g be (-2 - (-1)/k)*-67. Let h be (-1)/((-3)/g*-1). Round h to the nearest ten.
-70
Let m be (-24)/(-8) - (1202 + 1). What is m rounded to the nearest one hundred?
-1200
Let o = 53473 - 53473.95379. Let x = -0.04931 + o. Let h = x + 1. Round h to three decimal places.
-0.003
Let o = -5.31 + 5.2473. Let u = o - -0.06. Rou | {
"pile_set_name": "DM Mathematics"
} |
5*q - 4*m = 110 + 63, 4*q - 3*m - 138 = 0. Suppose q - 1 = y. Suppose -24 - y = -7*g. What is the highest common divisor of g and 24?
8
Suppose -z + 2*d - 1990 = 4*z, 2*d = -5*z - 2010. Let k be z/30*-3*2. Let x = -962 - -978. Calculate the greatest common divisor of x and k.
16
Let t(u) = -u + 37. Let v be t(6). Let k(r) = -2*r - 6. Let b be k(-3). Suppose b = j - 6*j + 465. Calculate the highest common divisor of v and j.
31
Suppose -102 = -0*b - 3*b. Let r = -132 - -136. Let a be 170 + -1 - r*(-6)/24. Calculate the greatest common divisor of b and a.
34
Let m(v) = -2*v - 2. Let s be m(-11). Let u be (24/10)/((-3)/(-190)). Suppose 3*x + g = 148, -g + u = 3*x - 2*g. What is the greatest common factor of s and x?
10
Let q(i) = i**3 - i**2 - 4*i. Let l be q(3). Suppose l*d = 4*d - 38. Let r = d - -39. Calculate the greatest common factor of 30 and r.
10
Let a(h) = 5*h**2 + 5*h. Suppose -2*n + 16 = b - 4*b, 5*b - 5 = -3*n. Let m be a(b). Calculate the highest common divisor of 290 and m.
10
Let a(l) = 6*l**3 - 435*l**2 + 82*l - 133. Let m be a(73). What is the greatest common factor of 70 and m?
70
Suppose -4*r - 2*h + 6*h = -96, 2*r - 83 = -5*h. Let g = 40 - r. Suppose 0 = -g*y + 34 + 21. What is the greatest common factor of y and 5?
5
Let h = 68 + -12. Suppose 8*y = h - 16. Suppose -i = 2*l - 0 - y, -3*l - 2*i + 9 = 0. Calculate the highest common divisor of l and 2.
1
Let d = 113 - 116. Let s be (4/d + 4)*33. Calculate the highest common factor of 8 and s.
8
Let a(p) = -p**2 + 23*p - 78. Let q be a(18). Let n be ((-10)/q)/(-5) + (-10894)/(-156). What is the greatest common divisor of n and 20?
10
Suppose -f + 6*r = -57, -f + 0*r + r = -37. What is the highest common factor of f and 1595?
11
Let r be (0 + 4)/((-8)/20). Let m be ((-10)/r)/((-2)/(-40)). Suppose 3*u - 51 = -3*i, 3 = -3*u + 3*i + 24. What is the highest common factor of m and u?
4
Let v = 7 + -17. Let b be (v/(-20))/((-1)/4). Let l be 8/(4/b) - -20. What is the highest common divisor of 2 and l?
2
Let h = 7852 - 7797. What is the highest common factor of h and 2464?
11
Suppose -34*a + i + 5624 = -29*a, -4*a + 4*i = -4512. Calculate the highest common factor of 8 and a.
4
Let y be (-221)/17*(3 - 2)*1. Let z(x) = x**3 + 14*x**2 + 5*x + 2. Let r be z(y). Let j = r - 97. Calculate the highest common divisor of j and 144.
9
Suppose -26 = -3*g + 10. Let w be (-17 - -16) + -1 + 3. Let i be (0 - w) + (0 - -52)/4. What is the highest common factor of i and g?
12
Let r(y) be the second derivative of y**5/20 + 13*y**4/12 - y**3 - 30*y**2 - 2*y + 6. Let f be r(-13). What is the highest common factor of 96 and f?
6
Let a be 72*9/(108/16). Let x = 56 - a. Let g = -26 - x. What is the highest common factor of g and 21?
7
Let v(c) = 2*c**2 - 3*c + 4. Let i be v(5). Let u be 333 - 3*-5*(-60)/(-50). What is the highest common factor of i and u?
39
Let o = -63 - -88. Let i be (200/150)/((-4)/(-3)). Calculate the highest common divisor of i and o.
1
Let v(o) = 3*o - 7*o + 14 - 8*o + 31 - 4*o. Let z be v(0). What is the highest common divisor of z and 18?
9
Suppose -5*y - 1625 = -28*y - 153. Calculate the highest common divisor of 218 and y.
2
Let g be (281880/(-9135))/((-5)/(-7) - 1). What is the highest common divisor of 76 and g?
4
Let r be ((-15)/(-12))/(-5*12/(-11520)). Calculate the highest common factor of r and 5360.
80
Suppose -7*j + 10*j - 8773 = -2*a, 0 = j + 5*a - 2946. What is the highest common divisor of 46 and j?
23
Suppose -x + 40 + 1 = -2*y, -3*x - 4*y + 153 = 0. Suppose x*r = 50*r - 231. What is the highest common factor of 22 and r?
11
Suppose 0 = 9*v - 46 - 8. Suppose -886 = v*d + 1544. Let a be 1 - 0 - d/(8 + -5). What is the highest common factor of 17 and a?
17
Let f(r) = 30*r + 195. Let j be f(6). Calculate the greatest common factor of 3 and j.
3
Let h be 70*(-132)/(-77)*5. What is the highest common factor of 132 and h?
12
Suppose 72*o + 43*o = 2017435 - 89230. Calculate the highest common factor of 69 and o.
69
Let l(p) = -p**3 - 2*p**2 + 7*p. Let h be l(-5). Let q(k) = 18*k**2 + 100*k - 2. Let v be q(-7). What is the greatest common divisor of v and h?
20
Suppose 72 = 6*a - 9*a. Let y be (a/14)/(-3) + 960/84. Suppose 0*i = 3*i - y. What is the highest common divisor of 20 and i?
4
Suppose -264*l + 150*l + 164*l - 7200 = 0. What is the highest common divisor of l and 18432?
144
Let j = -19 + 23. Suppose -j*u + 66 - 22 = -2*d, -3*d - 36 = -3*u. Let c = 53 - 48. Calculate the greatest common divisor of u and c.
5
Suppose 3*u - 2313 = -2289. Calculate the greatest common divisor of 1208 and u.
8
Let g(c) = -c**3 + 4*c**2 + c + 4. Let a be g(4). Suppose -4 = a*l - 9*l. Suppose -o = -64 + l. Calculate the highest common divisor of o and 12.
12
Let k(l) = 43*l + 2. Let g be k(5). Let r(x) = 9*x**3 - 200*x**2 + 200*x - 2. Let f be r(1). What is the greatest common divisor of f and g?
7
Suppose -2*l + 4*a = 34, 0 = l + 3*a + 13 - 11. Let n be 11/(1210/20) - 328/l. Suppose -2*r = r - 270. What is the greatest common factor of r and n?
30
Suppose 2717 = -62*s + 8917. What is the greatest common factor of s and 2340?
20
Let l = -127 + 137. Suppose l*j = -j + 231. Calculate the greatest common divisor of 42 and j.
21
Suppose -68*w = -69*w - 3*b + 2182, 2*b = -3*w + 6511. Calculate the greatest common factor of w and 44.
11
Let l be (9 + 4)/((-7 - -4)/(-21)). Let k be ((-10)/6)/((-7)/273). What is the greatest common factor of l and k?
13
Let b = 16917 + -16875. Suppose 0*q = -4*q - 36. Let r = 30 + q. What is the greatest common factor of r and b?
21
Let g(a) = 12*a - 35. Let f be g(3). Let m be 1 - -155 - (f - (-5)/(-5)). Calculate the highest common factor of 24 and m.
12
Suppose 1720 - 392 = 83*j. Suppose -736 = -2*b - 4*f, -2*f = -4*b + 6*b - 736. What is the greatest common divisor of b and j?
16
Suppose 5*t = -s + 2043, -6*t = -5*s - 11*t + 10235. Calculate the greatest common divisor of s and 96.
32
Let s be (636/(-16))/(-1 + (-10)/(-16)). What is the greatest common factor of 74 and s?
2
Let d = 2545 - 2537. Let h = -7 + -5. Let n = -11 - h. Calculate the highest common divisor of d and n.
1
Let l = -18422 + 18427. Let z = -79 + 204. Calculate the highest common divisor of l and z.
5
Let w be 10 - 0 - (-2 + 1). Suppose 33 = -5*o + 43. Let m be 216 - -5 - 6 - 12/o. What is the highest common factor of w and m?
11
Let n(y) = y**2 + 14*y + 22. Let i be n(-12). Let p = 245 + i. Calculate the greatest common factor of 9 and p.
9
Let n = -949 - -1617. Suppose 142 = 9*x - n. Let c = x + -38. What is the highest common divisor of c and 13?
13
Suppose -3*x - 3 = -3*b + 27, -17 = -2*b + 5*x. Suppose -10*k + b*k = 96. Calculate the highest common factor of k and 144.
48
Suppose 2*b - 2 = 3*t, -5*t - 19 = 1. Let n be 2*b/2 + 44. What is the highest common divisor of n and 13?
13
Let p = -24332 - -24652. Suppose 2*k + 20 = 3*k. What is the highest common divisor of k and p?
20
Suppose -5*x = o - 6*x - 6, -14 = -3*o - x. Suppose -2*l + 13*l - 715 = 0. What is the highest common divisor of l and o?
5
Let m be (834/10 + 4/(-2))/((-5)/(-25)). Calculate the highest common divisor of 55 and m.
11
Let r = 129 + -127. Suppose 0 = -2*w + 2*u - 62 + 220, r*u - 2 = 0. Calculate the greatest common divisor of w and 180.
20
Let a = -93 - -129. Suppose o - 2*l - a = 0, -2*l + 5 = -3*l. Let d be -2 + 914/o + (-10)/65. What is the highest common divisor of 3 and d?
3
Let d(c) = 19*c + 60. Let u be d(-4). Let y(k) = -k**2 - 27*k - 162. Let g be y(u). What is the greatest common factor of 154 and g?
14
Let m(o) = -2 + o**2 + 6*o**2 + 23*o - 8*o**2 - 8. Let k be m(10). What is the greatest common divisor of k and 60?
60
Suppose -239*l - 4*x = -243*l + 3924, 0 = -5*l + 4*x + 4910. Calculate the highest common divisor of 232 and l.
58
Suppose -1797 = 39*u - 9051. What is the greatest common factor of u and 248?
62
Suppose -a - i + 6 = 0, 7*i - 2*i - 26 = -3*a. Suppose 0 = -a*f - 5*o + 509, -2*f + 5*o = 6*o - 489. Calculate the highest common factor of f and 22.
22
Suppose 3*j - 692 = b, j - 187 = 4*b + 29. What is the highest common divisor of j and 493?
29
Let q = -32 - -61. Suppose -5*a - 27 = -8*a + 3*x, -2*a - 10 = 5*x. Suppose -a*z = -w + q - 2, 2*w = 2*z + 38. What is the highest common factor of w | {
"pile_set_name": "DM Mathematics"
} |
1125
What is the product of -61 and -5.5978?
341.4658
5 times -9679469
-48397345
Work out 1.9619503 * 21.
41.2009563
Multiply -3.111 and -1324.
4118.964
Multiply -0.232 and -7869.74.
1825.77968
What is -52.731 times 0.04825?
-2.54427075
212256*-206.7
-43873315.2
Multiply 2 and 8.655801.
17.311602
Multiply 5 and 0.141146995.
0.705734975
Work out -7.787278 * -5.
38.93639
708 * 14754.4
10446115.2
Work out -25 * -106939.
2673475
Work out 1431 * -12654.
-18107874
2024281 * -66
-133602546
Multiply -0.02469 and -10613.
262.03497
What is the product of 24.15 and -1086?
-26226.9
What is the product of -253171790 and -0.2?
50634358
-0.5 times -543397
271698.5
-19.7 times 340.35
-6704.895
Multiply -14.48 and 0.019955.
-0.2889484
Product of -9749593 and 90.
-877463370
-0.62 times -523283
324435.46
-0.335792 times 645
-216.58584
What is 5851573 times 3?
17554719
What is 16.1302 times -48?
-774.2496
Multiply -3.66809 and 1.4.
-5.135326
Work out -9669652 * 8.
-77357216
What is the product of 6463 and -31953?
-206512239
Calculate -0.04*-61182097.
2447283.88
Calculate -19811153*-4.
79244612
What is 1462328 times -3?
-4386984
53203.24 * -1.5
-79804.86
173 * 26510.3
4586281.9
Calculate -21*-103309.
2169489
Multiply -58456 and 1.969.
-115099.864
Work out 0.0722095 * -28.
-2.021866
Work out -35007193 * -0.12.
4200863.16
-23 times -25421531
584695213
-883084 * -16
14129344
-195.8 times -0.3017
59.07286
0.9 * -50553
-45497.7
26*3269107
84996782
What is the product of -0.0620354 and -3?
0.1861062
Multiply -5 and 11.189462.
-55.94731
What is the product of -176 and -942.36?
165855.36
45612665 * -0.2
-9122533
-6 times 23761.5578
-142569.3468
What is the product of 2935.9 and 38757?
113786676.3
-221.119 times 135
-29851.065
What is -0.004052277 times -4?
0.016209108
What is -45.335 times -191?
8658.985
Calculate 4254*-331.92.
-1411987.68
15081 times 6.04
91089.24
Product of -23114 and -67.08.
1550487.12
-1140*-0.0448
51.072
What is -1929185 times -0.04?
77167.4
Product of 85161849 and -1.
-85161849
What is the product of 2447 and -5.257?
-12863.879
47 * 2512903
118106441
-0.3 * 31456833
-9437049.9
Work out 5264083 * 4.
21056332
What is 831390 times 1?
831390
Work out 18147070 * 5.
90735350
-0.5349 times -74613
39910.4937
Calculate -6673*884.
-5898932
What is -36981.5 times 32.7?
-1209295.05
-442928128*-0.4
177171251.2
Calculate -0.0577516*0.18.
-0.010395288
-7533.6843 * 0.4
-3013.47372
Product of -76.27 and 2355.
-179615.85
170791.4 times 5
853957
Work out 4 * 4458140.
17832560
Multiply 51 and -39282.87.
-2003426.37
What is -4 times -18236384?
72945536
8846559*4
35386236
Product of -2.33 and 3.488.
-8.12704
Multiply 0.5 and 6531895.
3265947.5
What is -380.49 times 12810?
-4874076.9
What is -0.07 times 5323.054?
-372.61378
6844.5*12
82134
7851558*2
15703116
14 times 1135211
15892954
Product of 60109 and 3.534.
212425.206
Product of -0.2 and -7780768.
1556153.6
What is the product of 1 and 15413337?
15413337
What is 4.18251 times 0.7?
2.927757
Multiply 4.394767 and 0.6.
2.6368602
What is -1 times 3492792?
-3492792
What is 0.4 times -0.014584358?
-0.0058337432
What is the product of 12.154697 and -0.5?
-6.0773485
0.2 * -334.4864
-66.89728
Product of -0.62 and 0.302.
-0.18724
-8220975 * 1.1
-9043072.5
44667.206*-0.5
-22333.603
Product of -0.79 and -0.0728575.
0.057557425
Work out -186392 * -21.
3914232
What is the product of 9 and -2661850?
-23956650
What is the product of 6 and 183465.74?
1100794.44
Work out -0.05373 * 2.58.
-0.1386234
-2106.87*-0.01831
38.5767897
Calculate -173625*0.0667.
-11580.7875
-31374714 times 5
-156873570
Multiply -0.2361 and 7770.
-1834.497
-3328 times 0.018528
-61.661184
3490 times -3910
-13645900
-4 * -188754.55
755018.2
-15414*-10115
155912610
-21099 * -20714
437044686
Product of -0.5 and -1708.8845.
854.44225
Work out 16425703 * -2.
-32851406
What is the product of -2.099 and 13539?
-28418.361
-155644 times 0.0199
-3097.3156
-5865684*-32
187701888
0.06191 times -43972
-2722.30652
Work out 56 * 1228779.
68811624
What is the product of 1019043 and -4?
-4076172
-10.5*-318863
3348061.5
What is 0.2869927 times 0.1?
0.02869927
Multiply 90.1794 and 0.04.
3.607176
0.5*176104
88052
Work out -81418.2 * -0.16.
13026.912
-10536 * -340.7
3589615.2
What is 0 times 21229.3413?
0
Calculate 0.1973*-843.
-166.3239
Calculate 95024572*0.5.
47512286
What is 0.276 times 987?
272.412
61164153 * 0.4
24465661.2
Work out 0.044108784 * -0.13.
-0.00573414192
Calculate -1919*33318.
-63937242
Multiply -11239 and 2021.
-22714019
Calculate -43964.126*-1.
43964.126
Calculate 4.4*-0.61847.
-2.721268
Calculate -256092440*0.
0
Product of 23 and 7.48.
172.04
14 * 4139.8
57957.2
What is the product of -2 and -6159924?
12319848
8137 times 52793
429576641
Work out -0.3 * 68260007.
-20478002.1
Calculate 0.93*-11450.
-10648.5
-408.6 * -6014
2457320.4
Calculate 460524*-12.
-5526288
0.0451 * -769
-34.6819
Calculate -39*4980.
-194220
4.37*-7001
-30594.37
What is the product of 3 and 1775067?
5325201
Calculate 462*230376.7.
106434035.4
-0.89 times -19591
17435.99
Work out 168 * -99673.
-16745064
Calculate -288621.3*-0.1.
28862.13
8742.27 * 4.6
40214.442
Product of 89 and 34756.
3093284
Calculate -20*0.068057.
-1.36114
Product of -5979 and -2826.
16896654
Product of 56860 and -8737.
-496785820
Product of 0 and -15359569.
0
Multiply 156 and -292704.
-45661824
Product of 3 and -0.01916898.
-0.05750694
What is 36 times -1194.3083?
-42995.0988
Work out -1279053 * 116.
-148370148
What is 35042.529 times 0.4?
14017.0116
Calculate 0.2*-89679782.
-17935956.4
-1080.8*-24662
26654689.6
What is 14168660 times -9?
-127517940
What is the product of -1.7033 and 11.4?
-19.41762
Product of -810383 and -8.
6483064
0.0082381 times -0.162
-0.0013345722
What is the product of 19220 and -4978?
-95677160
-14.864732*0.5
-7.432366
0.0468*0.635518
0.0297422424
Multiply 7028 and 6115.
42976220
Product of 0.1 and 89413.45.
8941.345
What is 0.0653847 times -0.02?
-0.001307694
-6511710 times 0.5
-3255855
Product of 181 and -4443.
-804183
What is the product of -85171400 and -3?
255514200
Work out -144 * -20373.9.
2933841.6
Calculate 23007*-2.6.
-59818.2
0.3839 * 17065
6551.2535
57.812 * -484
-27981.008
0.2 times -2267040
-453408
-1.20376*2491
-2998.56616
Work out -15.470263 * 3.
-46.410789
Multiply -308 and 14544.32.
-4479650.56
What is the product of -1758066 and 2?
-3516132
What is the product of 14901 and -0.629?
-9372.729
-27.09 times 9869
-267351.21
Calculate 518803*0.1.
51880.3
108851*0.02095
2280.42845
Work out -0.4 * 18404662.
-7361864.8
0.2281 * 1.445
0.3296045
What is the product of 221 and 62040?
13710840
-5846 times -1613
9429598
Product of 32.5 and 6403.3.
208107.25
-5130274*-3
15390822
What is 6 times 265.48439?
1592.90634
Calculate 51.5*-10544.
-543016
Work out 0.07222237 * -4.
-0.28888948
What is the product of 291.8 and -84383?
-24622959.4
Calculate -0.04866*1402.
-68.22132
Multiply -0.070287 and -19.4.
1.3635678
Product of 3.2 and -0.1338811.
-0.42841952
3.8107 * -83
-316.2881
Work out -32 * -180.8147.
5786.0704
Multiply 3693.1 and -0.38.
-1403.378
What is the product of -74 and -7.1924?
532.2376
What is the product of 0.4 and -0.2295684?
-0.09182736
Product of 1121308 and 0.03.
33639.24
Product of -35496013 and -0.7.
24847209.1
What is the product of 812.682546 and -5?
-4063.41273
Product of 23279 and 3221.
74981659
Calculate -7823.6*13.
-101706.8
14 * 187.9059
2630.6826
Multiply 158586 and 1.
158586
417810*-161
-67267410
0.9*61.8926
55.70334
What is the product of -0.0073 and -141632?
1033.9136
Calculate -3.3*-1097470.
3621651
Work out -569364 * 73.
-41563572
7455232 * -4
-29820928
Product of -0.000323166 and 0.1.
-0.0000323166
What is the product of 0.13433 and -0.0017?
-0.000228361
Calculate 552359*-946.
-522531614
What is the product of -123.0822 and -25.9?
3187.82898
Work out 15224 * 12899.
196374376
Calculate 40*-6039007.
-241560280
Work out 0.500937 * 32.7.
16.3806399
39519868 * -0.4
-15807947.2
Multiply -0.034 and -0.0235969.
0.0008022946
Product of 3485157 and 27.
94099239
What is the product of 0.1 and 0.1305976?
0.01305976
74*-19547852
-1446541048
Multiply -0.2 and 31646.8544.
-6329.37088
-90.29*-440
39727.6
Work out -1.5 * 1314524.
-1971786
Product of 307884.408 and -0.1.
-30788.440 | {
"pile_set_name": "DM Mathematics"
} |
n one quarter of a second?
250
Convert 737.8833 millennia to months.
8854599.6
How many microseconds are there in 0.9286227 days?
80233001280
What is 16.8276 centimeters in kilometers?
0.000168276
What is 372125.8km in nanometers?
372125800000000000
How many seconds are there in 3/40 of a day?
6480
How many grams are there in 92.9407t?
92940700
How many decades are there in 54/5 of a millennium?
1080
Convert 12070.05ng to kilograms.
0.00000001207005
What is 0.2504008g in nanograms?
250400800
What is 1341.048 years in centuries?
13.41048
How many litres are there in 72.86647 millilitres?
0.07286647
What is 833.24 litres in millilitres?
833240
What is 68692.89 kilograms in micrograms?
68692890000000
How many days are there in 2559660.3 minutes?
1777.541875
What is 31/2 of a litre in millilitres?
15500
What is fourty-one halves of a decade in years?
205
What is 18/5 of a micrometer in nanometers?
3600
Convert 40.15087 weeks to seconds.
24283246.176
What is 15/4 of a century in years?
375
What is 2868.252 hours in nanoseconds?
10325707200000000
How many micrometers are there in eleven halves of a centimeter?
55000
How many months are there in fourty-one halves of a decade?
2460
What is one twentieth of a millennium in years?
50
Convert 9.290614ng to milligrams.
0.000009290614
How many millimeters are there in 6/5 of a centimeter?
12
How many grams are there in five eighths of a kilogram?
625
What is 169.84689 months in millennia?
0.0141539075
How many milliseconds are there in 3/50 of a minute?
3600
How many millilitres are there in 3/50 of a litre?
60
What is 18/5 of a kilogram in grams?
3600
How many centuries are there in seventy-nine halves of a millennium?
395
How many micrometers are there in 1/5 of a millimeter?
200
What is 264.3438 meters in centimeters?
26434.38
What is 0.3321047 micrometers in nanometers?
332.1047
How many kilograms are there in one tenth of a tonne?
100
How many kilograms are there in 72009.94t?
72009940
What is 37.35078 micrometers in centimeters?
0.003735078
How many kilograms are there in 777015.6 micrograms?
0.0007770156
How many centimeters are there in eleven halves of a meter?
550
Convert 474.7786 millennia to centuries.
4747.786
How many micrograms are there in one quarter of a milligram?
250
How many microseconds are there in 62.9827 seconds?
62982700
What is 25/4 of a hour in seconds?
22500
What is seven halves of a milligram in micrograms?
3500
What is 3/10 of a tonne in kilograms?
300
How many nanoseconds are there in 5218.093 seconds?
5218093000000
What is 31666.41 grams in nanograms?
31666410000000
What is 416558.43 minutes in days?
289.2766875
Convert 590150.4l to millilitres.
590150400
What is nine tenths of a litre in millilitres?
900
How many nanograms are there in sixty-one quarters of a microgram?
15250
How many meters are there in 9/10 of a kilometer?
900
Convert 68.77923 milligrams to nanograms.
68779230
How many kilometers are there in 926.2286 millimeters?
0.0009262286
How many micrograms are there in 5/4 of a milligram?
1250
Convert 0.2660335 years to centuries.
0.002660335
What is one fifth of a meter in millimeters?
200
Convert 284.1727 millennia to decades.
28417.27
How many seconds are there in twenty-eight thirds of a hour?
33600
How many litres are there in 0.3789322ml?
0.0003789322
What is 5015.817 millilitres in litres?
5.015817
Convert 7439.18ms to microseconds.
7439180
How many millimeters are there in 43293.76 meters?
43293760
What is 796.6871 millilitres in litres?
0.7966871
What is twenty-one fifths of a kilometer in meters?
4200
What is 7/2 of a century in decades?
35
What is 889.912m in centimeters?
88991.2
Convert 3967.95 kilometers to micrometers.
3967950000000
Convert 1757.16 decades to years.
17571.6
How many kilograms are there in 1/5 of a tonne?
200
What is 3.51987 decades in years?
35.1987
What is thirteen fifths of a meter in millimeters?
2600
How many grams are there in 6/25 of a kilogram?
240
What is 706.425 litres in millilitres?
706425
Convert 93.17414 millennia to months.
1118089.68
What is 7/2 of a milligram in micrograms?
3500
How many kilograms are there in 3.157955ng?
0.000000000003157955
How many milligrams are there in eighty-seven fifths of a gram?
17400
How many grams are there in fifty-seven fifths of a kilogram?
11400
What is 6.053047 tonnes in milligrams?
6053047000
What is 10.9979 micrograms in grams?
0.0000109979
Convert 12.88133 kilograms to milligrams.
12881330
Convert 1.96618mg to grams.
0.00196618
What is 4/3 of a hour in minutes?
80
What is 1617.96 grams in kilograms?
1.61796
What is one fifth of a hour in minutes?
12
How many years are there in 81/4 of a century?
2025
How many years are there in 25/2 of a decade?
125
What is 5260.66km in micrometers?
5260660000000
What is seven quarters of a hour in seconds?
6300
Convert 841.0156 years to months.
10092.1872
How many months are there in fifty-one halves of a decade?
3060
What is 4.885699 micrometers in nanometers?
4885.699
How many years are there in one tenth of a millennium?
100
How many years are there in eleven halves of a decade?
55
What is 13.655904 months in millennia?
0.001137992
How many litres are there in 359191.8ml?
359.1918
Convert 4.393343 millilitres to litres.
0.004393343
Convert 86013.48 litres to millilitres.
86013480
What is 21/5 of a meter in millimeters?
4200
What is 11/8 of a litre in millilitres?
1375
Convert 68.0811 litres to millilitres.
68081.1
What is 1/4 of a litre in millilitres?
250
What is seventeen quarters of a litre in millilitres?
4250
What is 678033.9l in millilitres?
678033900
How many microseconds are there in 55.0039ms?
55003.9
Convert 0.6384415ng to micrograms.
0.0006384415
How many millimeters are there in fifty-five halves of a meter?
27500
How many months are there in 2026.164 millennia?
24313968
Convert 944.0287 micrometers to kilometers.
0.0000009440287
Convert 7785.927 days to minutes.
11211734.88
What is thirteen quarters of a hour in seconds?
11700
How many meters are there in one fifth of a kilometer?
200
What is three eighths of a milligram in micrograms?
375
What is 1/10 of a kilometer in centimeters?
10000
How many litres are there in 0.1620147ml?
0.0001620147
How many seconds are there in 29/3 of a hour?
34800
How many meters are there in 186.922nm?
0.000000186922
What is one twentieth of a litre in millilitres?
50
How many nanometers are there in 3/10 of a micrometer?
300
What is one sixteenth of a day in minutes?
90
How many kilometers are there in 17.50217nm?
0.00000000001750217
How many microseconds are there in 3/40 of a second?
75000
How many hours are there in 8/21 of a week?
64
What is 71.41997 millilitres in litres?
0.07141997
How many milliseconds are there in 93.23097 hours?
335631492
How many millilitres are there in 15/4 of a litre?
3750
What is 5453.824g in kilograms?
5.453824
What is 81510.33 years in centuries?
815.1033
How many months are there in 7/8 of a century?
1050
What is 0.7301666g in tonnes?
0.0000007301666
What is 66.52118 nanometers in meters?
0.00000006652118
How many months are there in 27/4 of a century?
8100
How many seconds are there in 3/5 of a minute?
36
How many meters are there in 7545.573 centimeters?
75.45573
Convert 25.131897 minutes to weeks.
0.00249324375
Convert 29.961885 minutes to hours.
0.49936475
How many kilograms are there in 23/8 of a tonne?
2875
How many millimeters are there in 44/5 of a centimeter?
88
What is 488.0219 seconds in milliseconds?
488021.9
What is 632.8312 decades in months?
75939.744
How many kilograms are there in 11/10 of a tonne?
1100
What is 97.38202 grams in milligrams?
97382.02
What is 84.90063 years in months?
1018.80756
How many months are there in 7/6 of a year?
14
How many kilograms are there in 3/25 of a tonne?
120
How many hours are there in 7/6 of a day?
28
How many seconds are there in one twentieth of a day?
4320
What is 33/5 of a litre in millilitres?
6600
How many milliseconds are there in 5/4 of a minute?
75000
What is 9/10 of a meter in millimeters?
900
Convert 15907997.7 nanoseconds to weeks.
0.00000002630290625
How many litres are there in 1058.684 millilitres?
1.058684
Convert 984.5171 seconds to milliseconds.
984517.1
What is 7/6 of a day in minutes?
1680
W | {
"pile_set_name": "DM Mathematics"
} |
+ 1 - 2*p**2 - 90*p**2 - 172*p**2 + 42*p**2.
-223*p**2 + 2*p + 1
Expand (3*v**4 - 14*v**4 - 12*v**4)*(0 + 1 + 0).
-23*v**4
Expand (5*o - 8*o + 4*o)*(41*o**2 - 28*o**2 - 29*o**2).
-16*o**3
Expand -2 - o + 0 + 0 + (1 + 2 - 4)*(3*o - o - o)*(0 + 1 + 0).
-2*o - 2
Expand (0*z + z + 1 + z)*(-4*z**4 + 3*z**4 - 4*z**4 + (-2*z**4 - 2*z**4 + 5*z**4)*(2 - 2 + 1) + 0*z**4 + 4*z**4 - z**4)*(-3 + 5 - 4).
4*z**5 + 2*z**4
Expand (24*z**2 - 13*z**2 + 31*z**2)*(2*z**3 - 3*z**3 + 3*z**3) + z**2 - z**2 - 4*z**5.
80*z**5
Expand (2 - 2*c**2 - 2)*(2 - 3 - 1) + (2 - 2 - 6*c)*(-c - 4*c + 3*c) + 10*c**2 - 7*c**2 + 10*c**2.
29*c**2
Expand -35 + 8*t**2 + 35 + (-1 - 1 - 2)*(0*t**2 + 0*t**2 + t**2).
4*t**2
Expand (-2*m - 2*m + 2*m)*(-35*m + 41*m + 28*m).
-68*m**2
Expand (3 - 3 - 31)*(-2*n**4 - 3*n**4 + 3*n**4).
62*n**4
Expand (-2 - 3 - 1)*(4 - 1 - 4)*(-2 + 4 - 1)*(1 + 3 + 3)*(0*w + 6*w - 2*w).
168*w
Expand (433*d**2 + 164*d**2 - 172*d**2)*(-2*d + 5*d - 2*d) + 3*d**3 - 2*d**3 + d**3 + (4*d - 5*d + 2*d)*(-2*d**2 + 3*d**2 - 3*d**2) + d**3 + d**3 - 4*d**3.
423*d**3
Expand (-804 + 36*p + 804)*(3 - 2*p - 3)*(-5*p + 2*p + 2*p).
72*p**3
Expand -6*r**2 + 9*r**2 + 6*r**2 + (2*r**2 - 2*r**2 + 2*r**2)*(1 + 1 - 3) - r**2 + 5*r**2 - 3*r**2 - 3*r**2 - 5*r**2 + 2*r**2.
2*r**2
Expand -7*t**5 + t**5 - 8*t**5 - 4*t**5 + 6*t**5 - 4*t**5 + (t**2 - t**2 - 2*t**4)*(0*t + 5*t - 4*t) + 4*t**5 - 2*t**5 + 0*t**5.
-16*t**5
Expand 2*l + 2*l - 6*l + 38 - 38 + 3*l - 2*l + 0*l + 5*l + l - 3*l + 4*l + (0 + 2 + 0)*(-l + l + 2*l) - 2 + l + 2 + 3*l - 4*l + 4*l.
14*l
Expand 71 - 71 + 8*r + (-2 + 3 - 5)*(0*r + 2*r - 3*r) + 2*r - 1 + 1.
14*r
Expand (2*s + s**3 - 2*s)*(3 + 2 - 3) - 2 - s**3 + 2 + 2*s**3 - 251*s**3 + 16*s**3.
-232*s**3
Expand (2*g**2 - g**2 + 4*g**2)*(-3*g + 3*g + g**2) + (-g + 0 + 0)*(0 + 0 - g**3) + 0*g**4 + 3*g**4 + 4*g**2 - 2*g**4 + 15*g**4 - 6*g**4 - 15*g**4.
g**4 + 4*g**2
Expand 2*u - 6*u + 3*u + 2*u + 0*u + 0*u + (3*u + 2*u - 4*u)*(-5 + 2 + 2) + u + u - 4*u - 2 - 3*u + 2 - 9*u + 34*u + 10*u.
30*u
Expand (11 + 15 - 3 + 6)*(-2*g + 3*g - 4*g).
-87*g
Expand (-6 + 3 + 1)*(-542678*u + 542133*u + 2 - 2).
1090*u
Expand (-p**3 + 3*p - 3*p)*(-6 + 3 + 5)*(15*p + 9*p - 11*p - 3*p - 2*p + 3*p + 3 - 3 - p + (0 - 1 + 3)*(2*p + 3 - 3) + p + 3*p - 3*p + 4*p - 7*p - p).
-22*p**4
Expand -10*l**3 - 16*l**3 + 16*l**3 + (-l**2 - 2*l + 2*l)*(-8*l + 3*l + 3*l) - 2*l + 3*l**3 + 2*l - l**2 - 2*l**3 + l**2.
-7*l**3
Expand 2*x - 2*x + 3*x + (11 + 3*x - 11)*(-30 - 16 + 8).
-111*x
Expand (1 - 6 - 26)*(g + 0*g + 0*g).
-31*g
Expand -1578824 + 1578824 + 47*s**2 + (s - 2 + 2)*(3*s - 2*s + s).
49*s**2
Expand -2*r - 2*r + 5*r + 4*r - r - 4*r + (-1 - 1 + 3)*(6*r - 2*r - 2*r) + 0*r - 3*r + 2*r + 2*r + 4*r - 4*r + (37 + 6 - 1)*(1 - 1 - 2*r).
-81*r
Expand (6*d - 1 - 10 - 7*d + 5)*(-10*d + 2*d + 2*d).
6*d**2 + 36*d
Expand (-2*j + 4*j + 0*j)*(8 - 8 + 29*j**3).
58*j**4
Expand (-k - k + k)*(10*k + 9*k - 7*k)*(k - 4*k + 0*k).
36*k**3
Expand (5778 - 5779 - 2*p**3 + 11*p**2 - 43*p**2)*(4 - 6 + 3).
-2*p**3 - 32*p**2 - 1
Expand (d**3 + d**3 + 6*d**3)*(-48*d - 15 + 39 - 24).
-384*d**4
Expand (3*u**3 - 2*u**3 + u**3)*(6 - 1 - 4) - u - u**3 + u + (-5*u + 5*u + 10*u**2)*(2*u - u + u) + u**3 - 4*u**3 + u**3.
19*u**3
Expand (17*c - c - 4*c)*(-3*c - 1 + 1) + 17*c**2 + 9*c**2 + 6*c**2.
-4*c**2
Expand (-3 + 1 + 0)*(-k**3 - k**3 + k**3) + 6*k**3 + 10*k - 10*k - 3 + 4*k**3 + 3 + (4 - 5 + 0)*(-3 + 3 - 2*k**3).
14*k**3
Expand -3 + 0*z**5 + z**5 + 2 + (-3*z**3 - z + z)*(2*z**2 + 0*z**2 - z**2) - 3*z**5 + 4*z**5 + 6*z**5.
5*z**5 - 1
Expand r**3 - r**3 - r**3 - 2*r**3 - 5*r**3 + 5*r**3 + (-4*r**3 - 8*r**3 - 3*r**3)*(2 - 4 + 4) - 4*r**3 + 7*r**2 - 7*r**2.
-37*r**3
Expand (1072 + 3*z**2 - 1072)*(22*z + 3*z**2 - 22*z).
9*z**4
Expand (83*o - 83*o + 49*o**3)*(-2*o**2 - o**2 + o**2) - o**5 + 0*o + 0*o + (-o**4 + 0*o + 0*o)*(-1 + 1 + 2*o).
-101*o**5
Expand (1 + 0 + 0)*(0*h + 0*h - h) - 7*h + 2*h + 3*h - 2*h + 2*h + h.
-2*h
Expand (11 - 9 + 11)*(5*a + 2*a - 5*a)*(1 - 1 + 1)*(-3*a + 10*a - 8*a).
-26*a**2
Expand (2 - y - 2)*(-2 + 2 - y) + 0 - 2*y**2 + 0 + (4*y + 2*y - 5*y)*(0*y - 2*y + y) - 7*y**2 - 12*y**2 - y**2.
-22*y**2
Expand 3*m**4 + 0*m**4 - 4*m**4 + (3 - 4 + 3)*(52*m**4 - 140*m**4 + 37*m**4).
-103*m**4
Expand (3*k - k + k)*(44 + 4 - 22).
78*k
Expand (9*g**2 - 4*g**2 + 247*g**3 - 4*g**2 + 4653*g**3)*(-2*g + g + 2*g).
4900*g**4 + g**3
Expand (s + 3*s - 2*s)*(s - s + 2*s**4) + 3*s**5 + 0*s**5 + 9*s**5 - 9*s**5 - 6*s**5 + 4*s**5.
5*s**5
Expand (-z - 70 + 70)*(0 + 1 + 0)*(-7 + 0 + 0).
7*z
Expand (q**2 - 3*q**2 + 4*q**2)*(4 - 74*q - 117*q + 175*q) + (2*q + 0 + 0)*(0*q**2 + 0*q**2 + q**2).
-30*q**3 + 8*q**2
Expand (-1 + 9 + 17 - 1 + 0 - 1 + (-2 - 3 + 4)*(-2 - 5 + 5) - 4 - 1 + 3)*(1 + 2 - 1 - 5*z).
-115*z + 46
Expand (1 + 4 - 3)*(-2*b**3 + 2*b**2 - 7 + 23 - 14 + b).
-4*b**3 + 4*b**2 + 2*b + 4
Expand (3*y**2 - 2*y**2 + y**2)*(2 + y**2 - 2) - 2*y**2 + 2*y**2 + y**4 + y**4 - y**2 + y**2 - 387*y**4 - 185*y**4 + 286*y**4 - 118*y**4.
-400*y**4
Expand (1 + 3*i - 1)*(0*i + i + i)*(-10*i**2 + 16*i**2 + 13*i**2).
114*i**4
Expand (1 + 363*y - 336*y - 3)*(0*y - y + 3*y).
54*y**2 - 4*y
Expand (-1 - 5*t**2 + 1 - 5 + 5 - 2*t**2 + (-2 + 0 + 0)*(4*t - 4*t + 2*t**2))*(1 - 1 - 3*t)*(2 + 3*t - 2).
99*t**4
Expand 28*c - 35 + 35 + (4 - 1 - 8)*(5*c - 3*c - c).
23*c
Expand (2*m - m - 3*m)*(-4 + 2 + 0) + 0*m + 0*m + m + (-8 + 3 + 6)*(-31 + 31 + 28*m) + 0*m + 4*m - 5*m.
32*m
Expand -22*k**5 - 20*k**5 + 39*k**5 + (4*k + 2*k**3 - 4*k)*(-2*k**2 + 0*k + 0*k) + k**5 - 2*k**5 - k**5 - k**4 + 0*k**5 + 2*k**5 - k**5.
-8*k**5 - k**4
Expand (-5*k + 5*k + 4*k**2)*(2*k + 3*k - 4*k) + 32*k + k**3 + 8*k - 12*k.
5*k**3 + 28*k
Expand (-4 + 0 + 2)*(-3 + 3 - 2)*(3 - 2*c - 3).
-8*c
Expand (-s**2 + 0*s**2 - 2*s**4 + 0*s**4)*(-3 + 1 + 0)*(3 + 6 + 0) + s**3 - s**3 + s**4 + (s**2 - 2*s**2 + 3*s**2)*(s**2 - 3*s + 3*s).
39*s**4 + 18*s**2
Expand (1 - 18 - 2)*(-2*u + 7*u - 3*u).
-38*u
Expand (12 - 12 + 10*z)*((1 - 2 + 4)*(-3*z + 0*z + 5*z) - 2*z + 3*z + z)*(0 + 0*z + z - 2).
80*z**3 - 160*z**2
Expand ((1 - 4 + 1)*(-2*j + 0*j + 0*j) + 16 + 18*j - 16)*(16*j**4 - 2*j**4 + 4*j**4).
396*j**5
Expand -j**2 + 0*j**2 + 7*j**2 + (2 + 2*j - 2)*(-7 + 7 - 2*j) + j**2 - j**2 + 2*j**2 + (2*j**2 - 3*j + 3*j)*(3 - 5 + 4).
8*j**2
Expand -1628*o + 1628*o + 2*o**4 + (-1 + 1 + 2)*(o**4 + 4*o**4 - 4*o**4).
4*o**4
Expand (0 - 6 + 5)*(5*j - 3*j + 2*j) - 12*j - 1 + 9*j + 3 - j + 3*j - j + (3*j - j + 0*j)*(1 - 2 + 3).
-2*j + 2
Expand ((-3*s + 9*s + 3*s)*(2 + 1 - 5) + 1 - 4*s - 1)*(-2*s**2 + 4*s**2 - 3*s**2 + s).
22*s**3 - 22*s**2
Expand (x + 3*x - 2*x + (-2 + 3 - 3)*(4*x - 4*x - 3*x) - 2*x - 1 + 1 - 29 - x + 29)*(-2*x**2 + 5*x - 5*x).
-10*x**3
Expand (-2 + 0 + 0)*(-5233 + 75*n + 5233) + (3 - 6 + 2)*(3*n - n + 0*n).
-152*n
Expand (73 - 46 + 127)*(0*u**2 + 0*u**2 + u**2).
154*u**2
Expand (6*d**2 - 2*d**2 - 2*d**2)*(26 - 3 + 13)*(6 - 4 - 5)*(-3*d + 2*d + 3*d)*(0*d**2 + 0*d**2 - 3*d**2).
1296*d**5
Expand -92*p + 87*p - 6 - 25 + (2 - 2 + 4)*(3*p + 0*p - p).
3*p - 31
Expand (11 - 16 - 34)*(2*i**3 + 3*i**3 - 3*i**3)*(-3*i**2 + 2*i**2 + 2*i**2).
-78*i**5
Expand (-3*r + 5*r - 4*r)*(-3 + 3 - 2 + (5 - 3 - 4)*(4 - 5 + 3) + 0 - 5 + 0 + (2 - 1 + 1)*(-3 + 0 + 4)).
18*r
Expand (-k**3 - k**3 + 4*k**3)*(2 - 2*k - 2*k + 5*k)*(-6*k + 6*k - 13*k).
-26*k**5 - 52*k**4
Expand (4 - 4 - 4*l)*(-l**2 + 0*l**2 + 4*l**2) + (2*l - 2*l + l**2)*(-15*l - 16*l + 15*l).
-28*l**3
Expand (11*m - 16 + 25 - 9)*(2 - 2 + 4*m**2).
44*m**3
Expand (2 - 2 - 2)*(3*d - 3*d - 2*d**4) + 4 - 4 - 2*d**4 + (4 + 2*d - 4)*(-16*d**3 - d**3 + 5*d**3 + (-5*d**2 + d**2 + 2*d**2)*(9*d - 5*d - 11*d)).
6*d**4
Expand (-6*a + 7*a + 11*a)*(-2*a + 28*a - a).
300*a**2
Expand (-16 + 2*o + o + 12)*(-4 - 8 + 1).
-33*o + 44
Expand (0*i**5 - 2*i**5 - i**5)*(-1 - 4 + 4)*(43 - 32 - 89).
-234*i**5
Expand (-3*t - 2*t + 3*t)*(-36 + 1 - 43)*(-9*t + 31*t - 10*t).
1872*t**2
Expand (-3 + 4 - 3)*(-2 + 1 - 1)*(-2 + 2 - 1)*((0 + 1 + 0)*(-4*z + 0*z + 6*z) + 4 + 2*z - 2 - 1).
-16*z - 4
Expand (-4 - 1 + 4)*(-2*x**2 - 5*x**2 + 6*x**2) + 3*x**2 - 4*x**2 - x**2 + (0 + 2 - 4)*(-2*x**2 + 4*x**2 + 10*x**2).
-25*x**2
Expand (1 - 1 + 3*r)*(2 - 3 + 3)*(-4*r - 8*r + 3*r)*(r**3 + 2*r**3 - r**3).
-108*r**5
Expand (0*r**4 + 3*r**4 - r**4)*(0 + 35 + 61)*(0*r - 2*r + 5*r).
576*r**5
Expand -5*v**2 + 6*v**2 + 3*v**2 + (2 + 0 - 3)*(2*v**2 | {
"pile_set_name": "DM Mathematics"
} |
?
57500
Find the common denominator of 79/225512 and -75/232.
6539848
Calculate the common denominator of 43/51230 and 3/20.
102460
Calculate the smallest common multiple of 96819 and 8.
774552
What is the least common multiple of 99 and 88956?
978516
What is the least common multiple of 744 and 52452?
104904
Calculate the least common multiple of 2996 and 210.
44940
Find the common denominator of 3/124606 and 81/14.
872242
Calculate the common denominator of -59/4 and 149/10818.
21636
What is the common denominator of -83/97490 and 93/280?
2729720
Calculate the common denominator of -51/62947 and -13/13252.
251788
What is the common denominator of 143/5670 and -29/405?
5670
What is the common denominator of 97/1088 and 131/133280?
266560
What is the smallest common multiple of 555 and 150?
5550
Calculate the common denominator of -121/21440 and 83/13400.
107200
Calculate the least common multiple of 17388 and 8694.
17388
What is the least common multiple of 704 and 58960?
235840
Calculate the smallest common multiple of 223014 and 53955.
3345210
Find the common denominator of 1/9042 and -3/179333.
1075998
What is the common denominator of -5/172656 and -71/24?
172656
Calculate the common denominator of -19/1398 and -71/57.
26562
What is the least common multiple of 990 and 3786?
624690
What is the common denominator of -83/4164 and 59/3?
4164
What is the least common multiple of 237094 and 12435?
3556410
Calculate the least common multiple of 5211 and 5211.
5211
Calculate the common denominator of 87/257240 and 53/160775.
1286200
Calculate the common denominator of -97/234 and 32/33.
2574
Calculate the common denominator of 85/1333654 and 31/7.
1333654
Find the common denominator of 91/30 and 37/113556.
567780
What is the lowest common multiple of 16365 and 11310?
12339210
Calculate the smallest common multiple of 50081 and 50081.
50081
Find the common denominator of 13/4 and -89/1692.
1692
Calculate the smallest common multiple of 39960 and 288045.
6913080
Calculate the least common multiple of 15260 and 340.
259420
Calculate the common denominator of 5/57834 and -23/441.
404838
Calculate the lowest common multiple of 26 and 169548.
2204124
What is the common denominator of 37/270261 and 59/63?
1891827
What is the common denominator of 41/1210 and 139/1084600?
11930600
Calculate the smallest common multiple of 1314 and 14796.
1080108
Calculate the smallest common multiple of 136 and 680.
680
Calculate the least common multiple of 486 and 4536.
13608
Find the common denominator of -103/7518 and -23/1969.
82698
What is the smallest common multiple of 33984 and 176?
373824
What is the smallest common multiple of 1290 and 2490?
107070
Calculate the least common multiple of 1250 and 6778.
4236250
Calculate the least common multiple of 42441 and 31725.
9549225
What is the lowest common multiple of 1215 and 360?
9720
Find the common denominator of -119/3474 and -53/618951.
3713706
What is the common denominator of 41/49128 and -75/356?
49128
Calculate the least common multiple of 30288 and 657.
6633072
What is the least common multiple of 104 and 10946?
43784
Find the common denominator of -41/6004 and -47/10.
30020
Calculate the smallest common multiple of 36 and 465762.
2794572
Find the common denominator of -49/48905 and 61/88029.
440145
Calculate the common denominator of 4/1327685 and -61/40540.
5310740
Calculate the common denominator of 74/5325 and -29/4.
21300
What is the lowest common multiple of 136612 and 10?
683060
Calculate the common denominator of -101/246 and 97/196226.
588678
Calculate the common denominator of 119/1500 and 187/390.
19500
What is the least common multiple of 48439 and 15599?
920341
Calculate the common denominator of -107/154 and -45/4298.
47278
Calculate the common denominator of -63/10 and 61/2260686.
11303430
What is the common denominator of 91/30 and -149/168096?
840480
What is the common denominator of 4/9629 and -1/22?
211838
What is the smallest common multiple of 1182 and 68950?
206850
Calculate the least common multiple of 2872 and 312.
112008
Calculate the smallest common multiple of 2604 and 21.
2604
Find the common denominator of -143/84 and -121/62394.
873516
Find the common denominator of 79/11560 and 7/680.
11560
Calculate the smallest common multiple of 12 and 918326.
5509956
Calculate the common denominator of -11/12 and -8/8313.
33252
Find the common denominator of -103/2256 and 31/29328.
29328
Calculate the least common multiple of 107 and 18939.
18939
Calculate the common denominator of -9/238304 and 52/245751.
7864032
Find the common denominator of 56/3915 and -149/3870.
336690
Calculate the lowest common multiple of 33220 and 11220.
1694220
What is the common denominator of 91/35304 and 71/35304?
35304
Calculate the common denominator of -101/12 and 39/10.
60
Calculate the least common multiple of 5296 and 2648.
5296
Find the common denominator of -92/15 and 14/8655.
8655
What is the lowest common multiple of 120380 and 16?
481520
Calculate the least common multiple of 10 and 169305.
338610
What is the smallest common multiple of 156784 and 2?
156784
Find the common denominator of 97/16244 and 22/3.
48732
Calculate the common denominator of 61/92346 and -101/6.
92346
Calculate the common denominator of -3/466385 and 22/259.
3264695
Find the common denominator of 49/180 and 43/1670.
30060
What is the least common multiple of 8 and 110880?
110880
What is the common denominator of -53/72 and -23/241572?
1449432
Calculate the common denominator of 19/15554 and -89/202202.
202202
Calculate the smallest common multiple of 153 and 1360.
12240
What is the common denominator of -53/703060 and 85/773366?
7733660
Calculate the smallest common multiple of 563788 and 7.
3946516
What is the lowest common multiple of 1226985 and 1717779?
8588895
What is the least common multiple of 20 and 346200?
346200
Calculate the smallest common multiple of 10472 and 40579.
324632
Find the common denominator of 71/594 and -41/77682.
699138
What is the common denominator of -41/4 and -103/7966?
15932
Find the common denominator of -83/1350 and 73/357750.
357750
What is the smallest common multiple of 246051 and 109356?
984204
Calculate the least common multiple of 41277 and 24.
330216
What is the smallest common multiple of 204904 and 80?
2049040
What is the smallest common multiple of 82 and 22986?
942426
What is the least common multiple of 10 and 102431?
1024310
Find the common denominator of 31/962962 and 159/260260.
9629620
Calculate the least common multiple of 98450 and 1790.
98450
Find the common denominator of 103/210 and -73/113175.
1584450
What is the smallest common multiple of 244350 and 162900?
488700
Find the common denominator of 63/20 and -109/5650.
11300
What is the least common multiple of 34730 and 55568?
277840
What is the common denominator of 151/6960 and -109/18270?
146160
Find the common denominator of -5/6 and -65/10914.
10914
Find the common denominator of -91/1598 and -129/340.
15980
Calculate the common denominator of 82/1995 and -59/1064.
15960
Calculate the common denominator of 64/97503 and -56/236793.
1657551
What is the least common multiple of 63 and 106401?
2234421
What is the lowest common multiple of 363 and 623436?
6857796
Calculate the least common multiple of 865 and 20760.
20760
Calculate the lowest common multiple of 172610 and 189871.
1898710
Find the common denominator of -17/2028 and -47/2756.
107484
Calculate the common denominator of 26/13041 and 53/77679.
1786617
What is the common denominator of -9/710 and -5/1278?
6390
Calculate the smallest common multiple of 5476 and 1924.
71188
Calculate the lowest common multiple of 77064 and 798.
539448
What is the lowest common multiple of 4884 and 528?
19536
Calculate the lowest common multiple of 19536 and 7844.
1035408
Find the common denominator of 29/14286 and 155/371436.
371436
What is the lowest common multiple of 7124 and 24934?
49868
Find the common denominator of 31/3519 and -8/1035.
17595
What is the common denominator of 57/6940 and 41/147822?
1478220
Find the common denominator of -20/263901 and 11/18.
1583406
What is the least common multiple of 20 and 1508180?
1508180
What is the least common multiple of 351 and | {
"pile_set_name": "DM Mathematics"
} |
s in 2*y - y + 3*y - 2*y.
2*y
Collect the terms in -9 + 18 - 3 - 6 - u**2.
-u**2
Collect the terms in i + 2*i + 3*i + 2*i - i.
7*i
Collect the terms in 101*v + 104*v - 207*v.
-2*v
Collect the terms in 0*m**2 - 375*m**2 + 17*m**2.
-358*m**2
Collect the terms in 5260*u**2 - 2634*u**2 - 2628*u**2.
-2*u**2
Collect the terms in 19*l**3 - 29*l**3 + 5*l**3.
-5*l**3
Collect the terms in 463740*o + 3*o**2 - 463740*o.
3*o**2
Collect the terms in -3*l**3 + 28456 - 28456.
-3*l**3
Collect the terms in 17*y**2 - 4*y**2 - 10*y**2.
3*y**2
Collect the terms in a - 4*a - 4*a + 45*a**2.
45*a**2 - 7*a
Collect the terms in 467*z + 209*z - 74*z.
602*z
Collect the terms in 73*a + 75*a - 162*a.
-14*a
Collect the terms in 92*v**3 - 43*v**3 + v**3.
50*v**3
Collect the terms in -8 - 1 + 1 + 47*w**2 + 0.
47*w**2 - 8
Collect the terms in -36*j + 2*j - 3*j**2 + 4*j + 30*j.
-3*j**2
Collect the terms in 38*d**3 + 18*d**3 - 78*d**3 + 20*d**3.
-2*d**3
Collect the terms in 0*k + 242 - k - 120 - 122.
-k
Collect the terms in 7*p + 103 - 46 - 57.
7*p
Collect the terms in 36*n**2 - 19*n**3 - 36*n**2.
-19*n**3
Collect the terms in -14*f**3 + 28*f**3 - 18*f**3.
-4*f**3
Collect the terms in z**2 - 10*z**2 - z**2.
-10*z**2
Collect the terms in 172*s + 161*s + 165*s - 499*s.
-s
Collect the terms in 5 - 5 + 156*q.
156*q
Collect the terms in 197*v + 53*v + 50*v - 67*v.
233*v
Collect the terms in 3*m**2 + 0*m**2 - 15*m**2 - m**2.
-13*m**2
Collect the terms in 30 - 30 - 3*z**3.
-3*z**3
Collect the terms in 15*l**2 - 13*l**2 - 6*l**2.
-4*l**2
Collect the terms in 187 - 187 + 18*t**3.
18*t**3
Collect the terms in 6*t**2 - 6*t**2 - 7*t**2 + 6*t**2.
-t**2
Collect the terms in c - 5*c + 37*c + c.
34*c
Collect the terms in 2*h**2 + 2*h**2 - 4*h**2 - 27*h**3.
-27*h**3
Collect the terms in 7*u**2 - 16*u**2 - 14*u**2.
-23*u**2
Collect the terms in -5 + 29*b**3 + 5.
29*b**3
Collect the terms in 5*v + 0*v - 8*v - 4*v.
-7*v
Collect the terms in 2 - 107*s**2 - 2 + 104*s**2.
-3*s**2
Collect the terms in -2*q**2 + 41 - 12*q**2 - 41.
-14*q**2
Collect the terms in -j**2 + 13 - 4*j**2 + 6*j**2 - 2*j**2.
-j**2 + 13
Collect the terms in -18*q + 50*q - 23*q.
9*q
Collect the terms in g**2 - 14*g**2 + 19*g**2.
6*g**2
Collect the terms in -732*p + 246*p + 250*p + 241*p.
5*p
Collect the terms in -9*c**3 - 17*c**2 + 6*c**2 + 11*c**2.
-9*c**3
Collect the terms in -35*n**2 - 17*n**2 - 46*n**2.
-98*n**2
Collect the terms in -x**2 - 3569*x**3 + 3*x**2 + 3559*x**3.
-10*x**3 + 2*x**2
Collect the terms in -23*m**3 - 32*m**3 - 6*m**3.
-61*m**3
Collect the terms in -721968 + 721968 + 5*j.
5*j
Collect the terms in -55*z + 2*z + 48*z - z + 7*z.
z
Collect the terms in -453*g + 231*g + 231*g.
9*g
Collect the terms in -206*f**2 - f - 60*f**2 + 24*f**2.
-242*f**2 - f
Collect the terms in 3*m**2 + 23662*m - 23662*m - 3*m**3.
-3*m**3 + 3*m**2
Collect the terms in -203*g - 197*g - 8*g**2 + 400*g.
-8*g**2
Collect the terms in -8*y**2 + 19*y**2 + 4 - 31.
11*y**2 - 27
Collect the terms in -62*n + 157*n - 82*n.
13*n
Collect the terms in -59*y + 12*y + 27*y.
-20*y
Collect the terms in -10 + 6 - r + 4.
-r
Collect the terms in -3*d**2 - 23*d**2 - 15*d**2 + 8*d**2.
-33*d**2
Collect the terms in -4 - 3*d + 4 - 6*d**3 - 25*d**3.
-31*d**3 - 3*d
Collect the terms in 15 - 24 + 9 + s.
s
Collect the terms in -23349*z**2 + 11684*z**2 + 11667*z**2.
2*z**2
Collect the terms in 23592*j - 47182*j + 23588*j.
-2*j
Collect the terms in 10*d**3 - 591 + 295 + 296.
10*d**3
Collect the terms in 2*n**3 - 14*n**3 + 17*n**3 - 9*n**3.
-4*n**3
Collect the terms in 2632*p**2 - 1308*p**2 - 1325*p**2.
-p**2
Collect the terms in 94*c**2 - 40 + 40.
94*c**2
Collect the terms in 2*q**2 + 7*q**2 - q**2 + 0*q**2 - 4*q**2.
4*q**2
Collect the terms in -d**3 + 2*d**3 + 10 - 5.
d**3 + 5
Collect the terms in -2*u - 2*u + 4*u - 40*u**3.
-40*u**3
Collect the terms in 282*n - 16 + 16.
282*n
Collect the terms in 827 - 827 + 11*v**2.
11*v**2
Collect the terms in 35*o**3 + 37*o**3 - 69*o**3.
3*o**3
Collect the terms in q - 356*q**2 - 3*q + q.
-356*q**2 - q
Collect the terms in -1 + 0 - 12154*s**3 + 12156*s**3 + 1.
2*s**3
Collect the terms in -7*i + 6*i - 17*i - 6*i.
-24*i
Collect the terms in -9558*h + 2*h**2 + 9558*h.
2*h**2
Collect the terms in 2*f - 5*f - 9*f**3 + 3*f.
-9*f**3
Collect the terms in -4*w**2 + 2*w - 10*w + 2*w**2 - 9*w.
-2*w**2 - 17*w
Collect the terms in -411 + 411 + m**3.
m**3
Collect the terms in 144*o**3 - 2*o**3 - 16*o + 16*o.
142*o**3
Collect the terms in 8 - 1 - 57*d - 7 + 58*d.
d
Collect the terms in -12 + 49 - 6*o**2 + 3*o**2.
-3*o**2 + 37
Collect the terms in -5*o**2 - 22*o + o**2 + 2*o**2.
-2*o**2 - 22*o
Collect the terms in 96*r - 2 + 23*r + 4.
119*r + 2
Collect the terms in -8*o - 2*o - 41*o.
-51*o
Collect the terms in 18*g**2 - 12*g**2 - 5*g**2 - 3*g**2.
-2*g**2
Collect the terms in -89*g**2 + 175*g**2 - 84*g**2.
2*g**2
Collect the terms in -104008 + 4*h + 104008.
4*h
Collect the terms in -57*y + 36*y + 30*y.
9*y
Collect the terms in 5 - 5 - 2*m - 2*m.
-4*m
Collect the terms in -3*u - 9*u - 3*u.
-15*u
Collect the terms in -13*z + 62*z - 9*z.
40*z
Collect the terms in 8*f - 4*f + 5*f.
9*f
Collect the terms in 0 - 2 + 9*r + 2.
9*r
Collect the terms in -3*g**2 + 11*g + 2*g - 13*g.
-3*g**2
Collect the terms in 9*q + 39969 - 39969.
9*q
Collect the terms in 0 + 8 - 8 + k - 2*k.
-k
Collect the terms in -2*u - 4*u - 3*u + 7*u.
-2*u
Collect the terms in 6*o**2 - 5*o**2 - 5*o**2 + 2*o**2 + o**2.
-o**2
Collect the terms in -10*k - 13*k + 0*k + 5*k.
-18*k
Collect the terms in -18*n + 16*n + 3*n.
n
Collect the terms in -1778033 + 1778033 - h.
-h
Collect the terms in -2*g**3 + 10 + 2 - 12.
-2*g**3
Collect the terms in 9*v**2 - 19*v**2 + 8*v**2.
-2*v**2
Collect the terms in 13*y**2 + y - y + 0*y.
13*y**2
Collect the terms in -17*c + 3*c - 10*c.
-24*c
Collect the terms in 6 - 6 + 10*j.
10*j
Collect the terms in 8*s**2 - 2*s**2 - 2*s**2.
4*s**2
Collect the terms in 2*g**2 + 10*g**2 - 7*g**2.
5*g**2
Collect the terms in 16*d**3 - 36*d**3 + 15*d**3.
-5*d**3
Collect the terms in -1 + 161*d - 3 - 1 + 4.
161*d - 1
Collect the terms in 22*a**2 + 38*a**2 + 30*a**2 - 94*a**2 + 30*a**2.
26*a**2
Collect the terms in 428*u - 215*u - 216*u.
-3*u
Collect the terms in 2*l**3 - 20*l**3 + 15*l**3.
-3*l**3
Collect the terms in -1014*d + 2033*d - 1016*d.
3*d
Collect the terms in -28*b**2 + 2*b**3 - 29*b**2 + 35*b**2 + 22*b**2.
2*b**3
Collect the terms in 49*f + 49 - 49.
49*f
Collect the terms in -237 - 15*p**2 + 237.
-15*p**2
Collect the terms in -4*q + 27 - 10 - 17.
-4*q
Collect the terms in 91*f**3 - 598*f**3 - 67*f**2 + f + 67*f**2.
-507*f**3 + f
Collect the terms in 58*j + 39*j - 47*j - 49*j.
j
Collect the terms in 7*u**2 - 10*u**2 - 6*u**2 + 11*u**2.
2*u**2
Collect the terms in -143*p**3 + 79*p**3 + 71*p**3.
7*p**3
Collect the terms in -13568*r**2 - 13573*r**2 + 27144*r**2.
3*r**2
Collect the terms in -4 + 11 + 0*s + s.
s + 7
Collect the terms in -7 + 3*n + 2 + 2*n.
5*n - 5
Collect the terms in -3*n**3 + 7675*n - 7675*n.
-3*n**3
Collect the terms in -9*p**3 + 4*p**3 + 6 + 10*p**3.
5*p**3 + 6
Collect the terms in 2379*w**3 + 2382*w**3 - 7140*w**3 + 2398*w**3.
19*w**3
Collect the terms in 4 + 23*b - 4 + 3.
23*b + 3
Collect the terms in -5 - 65*u**2 + 75*u**2 + 1.
10*u**2 - 4
Collect the terms in -49*q - 44*q + 96*q.
3*q
Collect the terms in 40*a**2 - 22*a**2 - 17*a**2.
a**2
Collect the terms in -4*h**2 - 15*h**2 + 16*h**2.
-3*h**2
Collect the terms in -2903*j**2 + 969*j**2 + 969*j**2 + 963*j**2.
-2*j**2
Collect the terms in 9*j + 25*j + j**2 - 5*j - 29*j.
j**2
Collect the terms in -56*w**2 + 23*w**2 + 47*w**2.
14*w**2
Collect the terms in -13*n + 19*n + 11*n.
17*n
Collect the terms in -23*p + 9*p**2 + p**2 + 23*p.
10*p**2
Collect the terms in 30 - 21 - 2*r**2 - 12.
-2*r**2 - 3
Collect the terms in 303*c**2 - 89*c**2 - 215*c**2.
-c**2
Collect the terms in -772 - 6*l + 772.
-6*l
Collect the terms in -3 - 505*v + 3.
-505*v
Collect the terms in -r + 8 + 29 - 8.
-r + 29
Collect the terms in -620*p + 1242*p - 618*p.
4*p
Collect the terms in -39*i**3 - 42*i**3 - 22*i**3 + 104*i**3.
i**3
Collect the terms in 57*t - 73*t + 4*t**2 - t**2 + 16*t.
3*t**2
Collect the terms in -48*y**3 + 198*y**3 - 71*y**3 - 65*y**3.
14*y**3
Collect the terms in -41*g**2 + 2*g - 2*g + 14*g**2 + 31*g**2.
4*g**2
| {
"pile_set_name": "DM Mathematics"
} |
.
-528*u**4
Let k(b) = -7*b - 8. Let g(z) = 5*z + 6. Let q(o) = 4*g(o) + 3*k(o). Let t(r) = -9*r + 10. Calculate q(t(m)).
9*m - 10
Let x(m) = -9*m**2 + 10902365. Let n(v) = 2*v**2. Calculate x(n(a)).
-36*a**4 + 10902365
Let m(t) = -264*t. Let f be 212/(-26) - 0 - 114/(-741). Let r(c) = c + 12. Let x(a) = 2*a + 32. Let g(l) = f*r(l) + 3*x(l). Give m(g(v)).
528*v
Let b(h) = -2*h**2. Let u(y) = 900 - 1782 + 883 - 739*y. Give u(b(k)).
1478*k**2 + 1
Let p(h) = 9*h - 353. Let j(q) = 8*q - 350. Let i(r) = 4*j(r) - 3*p(r). Let d(l) = l. Determine i(d(y)).
5*y - 341
Let s(o) = 273583*o. Let r(m) = -170*m. Give r(s(q)).
-46509110*q
Let q(t) = 198622*t - 22 - 198622*t + t**2. Let n(s) = -37*s**2. Calculate n(q(u)).
-37*u**4 + 1628*u**2 - 17908
Let a(u) = 5*u**2 - 801*u - 2. Let y(m) = -21*m**2 + 3211*m + 9. Let v(j) = 13*a(j) + 3*y(j). Let d(r) = -2*r**2. Calculate v(d(n)).
8*n**4 + 1560*n**2 + 1
Let t(h) be the first derivative of 11*h**5/20 + 15*h**2/2 + 6*h - 212. Let a(o) be the second derivative of t(o). Let z(m) = -9*m. Determine a(z(f)).
2673*f**2
Let z(q) = -4*q + 349 - 645 + 296. Let m(i) = i**2 - 8*i - 3. Let a be m(9). Let y(d) = a*d**2 + 4*d**2 - 4*d**2. Calculate z(y(r)).
-24*r**2
Let q(b) = 322*b**2 - 158*b**2 - 151*b**2. Suppose 5*d - 37 + 7 = 0. Let m(v) = d*v**2 - 2058 + 2058. What is q(m(x))?
468*x**4
Let o(y) = -y**2. Suppose -18*g = -7*g - 176. Let b(h) = 35*h + g*h + 49*h - 16*h. Give o(b(k)).
-7056*k**2
Let b(v) = v. Let a(x) be the second derivative of -109*x**4/6 - 5*x**3/2 - 4*x + 660. Give a(b(r)).
-218*r**2 - 15*r
Let j(d) = -21*d. Let b = 11656 - -22007. Let l(x) = 33663 - b - 3*x. What is j(l(n))?
63*n
Let g(j) be the first derivative of 2*j**3/3 - 843. Let x(y) = 2*y**2 - 509*y. Calculate x(g(f)).
8*f**4 - 1018*f**2
Let t(f) = 255*f - 215*f + 479*f. Let w(s) = -2*s. What is t(w(j))?
-1038*j
Let c(d) = 47755712*d**2. Let a(h) = -h. Determine a(c(z)).
-47755712*z**2
Let w(r) = 3900 + 5*r - r + r**2 - 3902. Let p(c) = -c**2 - 6*c + 3. Let x(f) = 2*p(f) + 3*w(f). Let h(d) = -3*d - 3 + 3. Calculate h(x(v)).
-3*v**2
Suppose -14 = -8*v + 18. Let g(l) = -v*l - l + l + 2*l. Let q(u) = 70*u - 6. Let d(c) = -c - 2. Let o(n) = -3*d(n) + q(n). Determine o(g(i)).
-146*i
Let u(x) = -3*x**2. Let g = -201 - -219. Let d(n) = -g*n + 4*n + 580 - 578. Determine u(d(b)).
-588*b**2 + 168*b - 12
Let h(l) = 2366*l - 103. Let a(t) = -31*t. Determine h(a(x)).
-73346*x - 103
Let y(l) be the second derivative of 101*l**4 + 4*l + 30. Let h(p) = p**2. Give y(h(k)).
1212*k**4
Let a(q) be the third derivative of -7/60*q**5 + 0*q**4 + 0*q**3 + 0*q + 22*q**2 + 0. Let c(o) = -4*o. Determine a(c(w)).
-112*w**2
Let z(o) = o - 18. Let j(w) = -261*w**2 + 608*w. Determine z(j(t)).
-261*t**2 + 608*t - 18
Let h(w) = 67*w + 149465. Let s(z) = 2*z. Determine h(s(r)).
134*r + 149465
Let m(h) = -2*h + 2*h - 20686226*h**2 + 20686200*h**2. Let v(x) be the first derivative of 5*x**2/2 - 1. Give m(v(i)).
-650*i**2
Let r(n) = 33*n**2 - 22*n**2 - 14*n**2. Let f(s) = 2801*s**2. What is f(r(m))?
25209*m**4
Let p(o) = o - 2. Let b(n) = -2*n + 3. Let c(s) = 2*b(s) + 3*p(s). Let w(z) be the first derivative of 0*z + 11/2*z**2 + 108. Determine c(w(a)).
-11*a
Let j(a) = 4*a**2. Let p(k) = 201466441*k. What is j(p(b))?
162354907396825924*b**2
Let y(j) be the first derivative of -13*j**3 + 1010. Let q(f) = f + 4. Determine q(y(x)).
-39*x**2 + 4
Let u(f) be the second derivative of f**5/30 - 19*f**4/8 + 137*f**2 + 236*f. Let m(p) be the first derivative of u(p). Let t(d) = -2*d. Give t(m(y)).
-4*y**2 + 114*y
Let d be (-1)/(1*-2*(-20)/520). Let p(y) = -41*y + 11. Let i(m) = 19*m - 5. Let w(v) = d*i(v) - 6*p(v). Let g(u) = u**2. Calculate w(g(z)).
-z**2 - 1
Let q(t) = 4*t**2 + 4*t**2 - 3*t**2 + 3*t**2. Let g(o) = -65*o**2 + 26*o - 13. Let j(d) = -16*d**2 + 6*d - 3. Let u(i) = -3*g(i) + 13*j(i). Give u(q(v)).
-832*v**4
Let v(w) = 1191901*w**2. Let b(s) = 705*s. Give v(b(d)).
592404594525*d**2
Let b(z) = 6754716*z. Let w(f) = -8*f. Calculate b(w(q)).
-54037728*q
Let n(y) = 2*y**2 - 1147. Let z(x) = -193*x**2. What is n(z(r))?
74498*r**4 - 1147
Let f(b) = -4*b. Let c(z) = 109*z - 557. Let h(s) = 22*s - 2. Let u(t) = -c(t) + 5*h(t). Calculate u(f(a)).
-4*a + 547
Let x(i) = -700*i - 25. Let d(m) = 222*m**2. Calculate x(d(a)).
-155400*a**2 - 25
Let b(a) = a**2. Let q(i) = 5*i - 2. Let v(f) = -183657*f + 75996. Let x(c) = 37998*q(c) + v(c). Give x(b(o)).
6333*o**2
Let k(o) = 5*o**2 + 1. Let u(i) = 52*i - 117. Let n(y) = 66*y - 149. Let d(p) = 11*n(p) - 14*u(p). Calculate k(d(j)).
20*j**2 + 20*j + 6
Let m(h) = -6*h**2 + 7*h. Let k(c) = -c**2 + c. Let q be -2*(-6)/(-16) - 715/(-20). Let v(u) = q*k(u) - 5*m(u). Let i(z) = 36*z**2. What is i(v(f))?
900*f**4
Let q(u) = -129710*u**2 + 300*u. Let l(a) = 3*a. Give q(l(m)).
-1167390*m**2 + 900*m
Let x(o) = 5*o. Let z(f) be the second derivative of f**3/6 - 3*f**2/2 + 39*f + 10. What is x(z(i))?
5*i - 15
Let x(k) = -381490*k. Let b(i) = -278*i - 3. What is b(x(y))?
106054220*y - 3
Suppose -17*w = -191410 - 1914. Let l(i) = -3*i + 11372 - w. Let m(v) = 10*v. Determine m(l(a)).
-30*a
Let a(y) be the first derivative of 0*y**2 - 224 + 2*y - 10/3*y**3. Let q(w) = 5*w. Determine a(q(r)).
-250*r**2 + 2
Let h(q) = -13195764*q. Let p(a) = 2*a. Determine p(h(i)).
-26391528*i
Let j(f) be the first derivative of -4*f**6/45 - 16*f**3/3 - 12. Let v(n) be the third derivative of j(n). Let d(k) = 3*k**2 - 4*k**2 - k**2. Calculate v(d(a)).
-128*a**4
Let t(v) = 2*v. Let b(g) be the third derivative of 45*g**5/4 + g**2 + 2*g - 18. Determine b(t(w)).
2700*w**2
Let w(g) be the first derivative of -31*g**2 + 2*g - 2291. Let i(u) = 14*u**2. Determine i(w(a)).
53816*a**2 - 3472*a + 56
Let i(o) = -1500*o**2 + o + 1475*o**2 - o. Let z(f) be the second derivative of -f**4/12 + 7*f. Calculate z(i(t)).
-625*t**4
Let w(m) = m - 70. Let q(y) = -44*y - 6. Let a(t) = -31*t - 4. Let k(x) = 6*a(x) - 4*q(x). Give w(k(h)).
-10*h - 70
Let a(t) be the first derivative of -29*t**6/360 - 29*t**3 - 41. Let w(z) be the third derivative of a(z). Let n(u) = 6*u**2. Give n(w(g)).
5046*g**4
Let f(h) = 1. Let u(i) = -38*i**2 - 4. Let o(p) = 4*f(p) + u(p). Let s(g) be the first derivative of g**2/2 - 57062. Determine o(s(t)).
-38*t**2
Let k(p) = 2*p**2 + 1152*p. Let c(a) = 322*a. What is k(c(t))?
207368*t**2 + 370944*t
Let m(c) = 2*c - 6. Let z = 871 - 864. Suppose 4*n = 5 + 3, -3*n = -2*t. Let v(b) = 2*b + t*b - z*b. Give v(m(f)).
-4*f + 12
Let h(x) = 417311*x. Let y(s) = 24*s**2. Calculate y(h(d)).
4179563297304*d**2
Let d(c) = -163*c. Let y(n) = 1513*n - 17. Let u(f) = -357*f + 4. Let w(p) = 17*u(p) + 4*y(p). Determine d(w(t)).
2771*t
Suppose -1125 = -6*d + 591. Let w(j) = d*j**2 - 566*j**2 + 295*j**2. Let v(s) = s**2. Determine w(v(n)).
15*n**4
Let p(v) = -193*v. Let t(r) = 3*r + 11. Let k(q) = q + 4. Let j(x) = 4*x - 1. Let u be j(3). Let m(y) = u*k(y) - 4*t(y). Calculate m(p(z)).
193*z
Let l(w) = 22*w**2 + 12*w - 6. Let c(i) = 43*i**2 + 22*i - 11. Let y(o) = 6*c(o) - 11*l(o). Let t(j) = 39*j**2. Calculate t(y(k)).
9984*k**4
Let b(v) = 4*v**2 + 12*v - 33. Let m(q) = -2*q + 6. Let x(k) = b(k) + 6*m(k). Let h(y) = -11*y. What is x(h(d))?
484*d**2 + 3
Let q(w) = -5*w**2 + 9*w - 4. Let v(o) = 2*o**2 - 2*o + 1. Let h(a) = -2*q(a) - 9*v(a). Let u(c) = -29*c + 3. Give h(u(g)).
-6728*g**2 + 1392*g - 73
Let t(n) = -138*n + 414*n - 134*n - 139*n. Let r(u) be the first derivative of -10 - 19/2*u**2 + 0*u. What is r(t(b))?
-57*b
Suppose 3*z = 2*d + 31, 4*z + 6*d = 4*d + 32. Let n be 8/(-6)*z/(-6). Let p(x) = -81*x**n + 163*x**2 - 85*x**2. Let t(r) = -2*r. What is t(p(i))?
6*i**2
Let k(o) = 32*o. Let r(c) = 1801 + 29*c + 1784 - 3585. Determine k(r(p)).
928*p
Let t(k) be the first derivative of -21*k**2 - 1401. Let v(u) = 56*u. Calculate t(v(z)).
-2352*z
Let m(p) be the second derivative of -p**3/3 + 17*p**2 - 2626*p. Let x(r) = -29*r**2. Give m(x(w)).
58*w**2 + 34
Let w(o) be the first derivative of 243*o**2 - 1729. Let k(x) = 3*x**2. What is k(w(y))?
708588*y**2
Let h be (1/(-3))/(6/9) + 35594/1924. Let y(a) be the second derivative of -h*a + 0*a**2 + 1/6*a**3 + 0. Let i(w) = -36*w. Give i(y(q)).
-36*q
Let n(t) = 97*t**2. Let x(h) = 24 + 25 - 29 - 20 + 8*h**2. Determine n(x(g)).
6208*g**4
Suppose 2*v + 5 | {
"pile_set_name": "DM Mathematics"
} |
b) = b**2 - 2*b + 1. Let j(y) = 202*y**2 - 9*y + 15*y + 6 - 80*y + 8*y. Let w(q) = j(q) - 5*s(q). Find the second derivative of w(t) wrt t.
394
Let z(t) be the first derivative of -14*t - 84 + 5/2*t**2 - t**3. What is the derivative of z(q) wrt q?
-6*q + 5
Let x(u) be the second derivative of 55/2*u**2 - 19/4*u**4 + 3 - 2*u + 0*u**3. What is the derivative of x(h) wrt h?
-114*h
Let w(h) be the third derivative of 44/3*h**3 - 43/120*h**6 + 159*h**2 + 0*h**5 + 0*h + 0*h**4 + 0. Find the first derivative of w(m) wrt m.
-129*m**2
Let h(y) be the second derivative of 2535*y**8/56 - 4393*y**4/12 - 2317*y. Find the third derivative of h(j) wrt j.
304200*j**3
Suppose -6*d - 405 = -11*d. Suppose -t + d = 7. What is the third derivative of -t*s + 16*s**2 + 142*s - 68*s - 12*s**4 wrt s?
-288*s
What is the first derivative of -2*p + 112*p**2 - 162*p**2 - 6*p + 1433 + 19*p + 14*p wrt p?
-100*p + 25
Suppose 57*g = 63*g + 162. Let h = -25 - g. What is the first derivative of -7*x**h + 22 - 26 + 39 wrt x?
-14*x
Let h(g) be the second derivative of -227*g**5/10 + g**3/3 - 1208*g**2 + 1239*g + 2. What is the first derivative of h(l) wrt l?
-1362*l**2 + 2
Let p = 294 + -254. What is the derivative of b + p*b + 37*b + 26 wrt b?
78
Let p(h) = 4*h**2 - 4*h + 1. Let t(j) = -239*j**2 - 12*j - 1500. Let o(k) = 3*p(k) - t(k). Differentiate o(y) wrt y.
502*y
Suppose -21*g + 25*g - n = 720, 3*n = -g + 180. Differentiate 43*p - 71 - g*p - 190*p wrt p.
-327
Suppose -5344 = -75*r + 59*r. What is the second derivative of -17 + 335*o - 25*o**4 - 37*o**4 - r*o wrt o?
-744*o**2
Let i be 85/7 - (-6)/(-42). What is the first derivative of i*j**3 - 1080 + 23*j**3 + 1081 wrt j?
105*j**2
What is the second derivative of -20692*u - 311 + 20 + 26 + 6460*u**3 + 20694*u wrt u?
38760*u
Find the second derivative of 68*i**3 - 15016*i**2 + 15016*i**2 - 1059*i + 3*i**4 wrt i.
36*i**2 + 408*i
Let k(h) = 1035*h**3 - 1258*h**2. Let i(w) = -1039*w**3 + 1257*w**2. Let x(n) = -3*i(n) - 2*k(n). Find the third derivative of x(z) wrt z.
6282
What is the second derivative of 199*k + 102*k**5 - 1094*k + 200*k**5 + 58*k**5 wrt k?
7200*k**3
Let j(t) = 96*t + 115. Let z(i) be the third derivative of 12*i**4 + 172*i**3/3 + 59*i**2. Let h(w) = 8*j(w) - 3*z(w). What is the derivative of h(f) wrt f?
-96
Find the third derivative of 29*r**2 - 35*r**2 - 6 - 3*r + 4 + 66*r - 9518*r**3 + 9*r**2 wrt r.
-57108
Let b be (38 + -43)/(1/(-1)). What is the third derivative of a**5 - 3*a**b + 4 - 6*a**4 + 8*a**4 - 22*a**4 - 6*a**2 wrt a?
-120*a**2 - 480*a
Suppose 0 = -3*j + 104 - 98. Let q = 12 + -7. Find the third derivative of -14*l**q + 97*l**2 + 2*l**4 - 92*l**j - 2*l**4 wrt l.
-840*l**2
Suppose 3*o + 242 = 14*o. Suppose 3*p = a + o, 3*p - 4*a - 28 = p. What is the third derivative of 397*i - 397*i - p*i**6 - i**2 wrt i?
-720*i**3
What is the second derivative of 779*n + 0*n**3 - n**3 + 776*n**5 - 2287*n**5 - 495 + 493 wrt n?
-30220*n**3 - 6*n
Suppose -10*p - 2*s + 848 = -6*p, s = -3*p + 638. What is the second derivative of -6464*j**3 + p*j + 6464*j**3 - 120*j**4 + 9*j**4 wrt j?
-1332*j**2
Let q(m) be the first derivative of 83*m**5/5 - 4*m**4 + 5*m**3 - 80*m**2 + 1854. What is the third derivative of q(x) wrt x?
1992*x - 96
Let g(a) = a**4 + 2*a**3. Let i(j) = 128*j**4 - 10*j**3 + 7*j**2 - 685. Let b(p) = 5*g(p) + i(p). What is the first derivative of b(y) wrt y?
532*y**3 + 14*y
Let h(s) = s**4 + 2*s**3 + s**2 - s + 1. Let w(l) = 4*l**4 + 6*l**3 + 3*l**2 + 39*l - 790. Let u(t) = 3*h(t) - w(t). What is the first derivative of u(y) wrt y?
-4*y**3 - 42
Let j(b) = b**3 - 12*b**2 - 12*b + 19. Let u be j(13). Let c = u - 30. What is the derivative of -11 - 6*r**c + 7*r**2 + r**2 wrt r?
4*r
Let g(o) be the first derivative of 1601*o**2/2 + 88*o - 720. Differentiate g(v) wrt v.
1601
Suppose 8*s = 3*s + 765. Let w = -118 + s. What is the second derivative of -w*k**4 + k + k + 36*k wrt k?
-420*k**2
Let x be 81 + 9 - (3 - -4). Differentiate 168*n**2 - 76 - 84*n**2 - x*n**2 - 43*n**3 wrt n.
-129*n**2 + 2*n
Differentiate 1828 - 157*o**2 + 3818 - 269*o**2 + 90*o**2 - 2*o**3 + 2*o + 229 wrt o.
-6*o**2 - 672*o + 2
Let o(m) = 6003*m**3 + 13*m**2 + 22*m - 34. Let d(s) = -2001*s**3 - 4*s**2 - 8*s + 12. Let b(v) = -11*d(v) - 4*o(v). Find the third derivative of b(w) wrt w.
-12006
Differentiate 281 - 107 + 440 - 12 + 241 + 815*h wrt h.
815
Let w(x) be the second derivative of 463*x**7/42 - 7*x**4/6 + 3*x**3 + 1341*x. Find the third derivative of w(g) wrt g.
27780*g**2
Let u(x) = 382*x**3 - x**2 - 5*x + 7. Let h be u(1). Differentiate -383*b**2 - 94*b**3 - 31 - 47 + h*b**2 with respect to b.
-282*b**2
Let b(r) = 2*r**3 + 2*r**2 - r + 4. Let c(u) = -633*u**3 + 8*u**2 - 4*u - 97. Let q(g) = -4*b(g) + c(g). Find the first derivative of q(o) wrt o.
-1923*o**2
Let x = 114/61 - -268/183. Let s(b) be the second derivative of -x*b**3 + 0 + 0*b**2 + 5/3*b**4 + 17*b. What is the second derivative of s(n) wrt n?
40
Let u(c) be the second derivative of 701*c**7/42 + c**4 - 3*c**3 - 3*c + 12. What is the third derivative of u(w) wrt w?
42060*w**2
Find the third derivative of 131 - 804*m**3 - 12669*m**3 - 316*m**2 + 680*m**2 + 14*m - 367*m**2 wrt m.
-80838
Let j(t) be the second derivative of -4643*t**3/3 - 5283*t**2/2 + 7806*t. Differentiate j(f) with respect to f.
-9286
Let n(d) = 16*d + 52. Let l be n(-3). Find the second derivative of -54*h - 3*h**2 + 54*h - l*h**4 - 144*h wrt h.
-48*h**2 - 6
Let c = -84 - -327. What is the second derivative of 3 + 16*k + c*k**4 - 3 - 29*k**4 + 147*k wrt k?
2568*k**2
What is the second derivative of 10 + 6 - 1168*c + 3 - 1904*c**2 + 1144*c wrt c?
-3808
Suppose 9 = -6*r + 9*r. What is the third derivative of 9*a**2 + 13*a**2 + 4*a**4 + 7*a**3 + r*a**3 + 36*a**2 wrt a?
96*a + 60
Suppose 0 = -4*g + 3*g + 6. Let d be -3*1 - 10*(5 - g). Differentiate -d*s + 9*s + 2*s + 22*s - 16 wrt s.
26
Let d(r) = -r**3 + 7*r**2 - 5*r. Let w be d(6). Let l be (-1)/w + (-444)/(-72). What is the second derivative of 16*y**2 + l*y + 21*y**2 - 12*y**2 + 11*y wrt y?
50
Let z(g) be the third derivative of 659*g**5/30 + g**4/12 + 272*g**3/3 - 18*g**2 - 26. Find the second derivative of z(k) wrt k.
2636
Suppose 10 - 2 = 2*q. Suppose q*a = 5*o + 266, 2*o - 1 = 3. Find the first derivative of a*s + 2 + 10*s**2 - 37*s - 32*s wrt s.
20*s
Let p(i) be the second derivative of -i**6/3 - 33*i**5/20 - 867*i**4/4 + 5*i - 579. What is the third derivative of p(b) wrt b?
-240*b - 198
Let k(h) be the first derivative of -h**4/2 - 1957*h**3/3 + 4060*h - 337. Find the first derivative of k(j) wrt j.
-6*j**2 - 3914*j
What is the second derivative of -22*l + 83*l + 15*l - 991*l**2 + 4*l + 60*l wrt l?
-1982
Let h(a) be the first derivative of 25*a**6/3 + 14*a**5/5 - a**4 + a**2/2 + 3657*a + 5453. Find the second derivative of h(q) wrt q.
1000*q**3 + 168*q**2 - 24*q
What is the second derivative of 2744*r**2 - 1122*r**2 + 134*r + 11 + 34*r wrt r?
3244
Let v(x) = -x + 21. Let i be v(16). Let n be ((-2)/5)/(i/(-25)) + 1. What is the second derivative of z - 9*z + 0*z + 49*z**n - 83*z**3 wrt z?
-204*z
Let z(p) be the third derivative of 749*p**5/6 - 2681*p**4/6 - 2*p**2 + 438. What is the second derivative of z(i) wrt i?
14980
Let c(n) be the third derivative of 53*n**8/56 - 31*n**4/24 - 4*n**3 + 927*n**2. Find the second derivative of c(u) wrt u.
6360*u**3
Let q(j) be the second derivative of -287*j**4/12 - j**3/6 - 104*j**2 + 199*j. Find the second derivative of q(k) wrt k.
-574
Let u(h) be the first derivative of h**6/2 + 109*h**4/4 + 41*h**3/3 + 74*h - 4350. What is the third derivative of u(g) wrt g?
180*g**2 + 654
Let d(v) = 39*v + 4. Let l be d(1). Let h = 45 - l. Find the third derivative of -7*x**4 - 8*x**h + 16*x**2 - 4*x**4 wrt x.
-264*x
Suppose -43*x + 40*x + 6 = 0. Find the second derivative of 20*m**x + 22*m**2 - 42*m**2 - 82*m**3 + 24*m wrt m.
-492*m
Let m(i) be the first derivative of 147*i**4/4 - 4*i**3 + 3163*i + 1092. What is the first derivative of m(t) wrt t?
441*t**2 - 24*t
Let i(s) = s**3 + 8*s**2 - 9*s - 13. Let t be i(-9). Let f = -9 - t. What is the third derivative of -7*w**f + 5*w + 8*w**4 - w**2 - 5*w wrt w?
24*w
Let f(h) be the second derivative of -953*h**6/15 - 7*h**3/6 - 53*h**2/2 + 771*h. Find the second derivative of f(y) | {
"pile_set_name": "DM Mathematics"
} |
8*b + 238. Let r = 17 - 52. What are the prime factors of b/r - (-2)/5?
5
Let a(l) = 13*l + 6. Let k be a(2). What are the prime factors of k/(-2 - 5/(-2))?
2
What are the prime factors of (60/16)/(-3*1/(-400))?
2, 5
Suppose 0 = 4*f - 8, g + 12 = -g - 5*f. Let h = g - -155. What are the prime factors of h?
2, 3
Let n(v) be the first derivative of v**5/60 - 5*v**4/24 + 5*v**2/2 - 1. Let d(y) be the second derivative of n(y). List the prime factors of d(6).
2, 3
Let f be 1 + 2 + -41 + 2. Suppose 0 = -15*y + 26*y + 737. Let n = f - y. List the prime factors of n.
31
Let r = 202 + 11. List the prime factors of r.
3, 71
Suppose 5*s - 23 = 4*u, -5*u + 1 = -2*s - 0. Suppose -s*n + 20 = -3*n. Let d = n - -5. List the prime factors of d.
2, 5
Let o be (-1220)/(-34) - 2/(-17). Let q = -4 - -35. Let m = o - q. List the prime factors of m.
5
Let w(h) be the second derivative of -2*h**3/3 + 5*h**2/2 - 2*h. Let t(z) = -z**2 + 4*z - 10. Let u be t(3). List the prime factors of w(u).
3, 11
What are the prime factors of ((-1)/(3/957))/(-1) - -3?
2, 7, 23
Suppose -3 = 4*x - 19. Suppose 2*z - 5*f - 84 = 0, 152 = x*z + 5*f - 76. List the prime factors of z.
2, 13
Let u(x) = -x**3 + x**2 + 2*x + 786. What are the prime factors of u(0)?
2, 3, 131
List the prime factors of ((-504)/16)/21 - 1429/(-2).
23, 31
Suppose -h + 712 = 3*f - 2*h, 2*f - 476 = h. Suppose 2*c - 3*a - 108 = 0, 4*c - 5*a - f = -20. List the prime factors of c.
2, 3
Suppose 5*s + 13 = 2*x + 48, x = s - 10. Suppose 6*q - 136 = s*q. Suppose 10*v - q = 6*v. What are the prime factors of v?
2, 17
Suppose 14*i + 1038 = 17*i. List the prime factors of 14/49 + i/14.
5
Let o(m) = -m**2 + 27*m - 8. Let i(n) = 1. Let c(k) = -4*i(k) + o(k). List the prime factors of c(13).
2, 5, 17
Let m(b) = 15*b - 293. What are the prime factors of m(34)?
7, 31
Let g be 37/(-4)*(2/(-1) + -122). Suppose g = 6*u - 449. What are the prime factors of u?
2, 7, 19
Suppose -3*y + 3*j + 21 = 0, -5*y = 5*j + 11 + 4. Suppose y*i - 181 = 215. Suppose -2*l - 3*n = -119, 5*l + 4*n = i + 110. What are the prime factors of l?
2
Suppose -2*z + 36 = 2*j, -4*z + 3*j = -110 + 24. Suppose -2 = -2*k, 3*u + k - 14 = z. List the prime factors of u.
11
Let k(b) = -16*b + 25. Let r(u) = 3*u - 5. Let x(c) = 2*k(c) + 11*r(c). Let f be x(5). Suppose -2*n = -f*n - 24. What are the prime factors of n?
2, 3
List the prime factors of (-9)/12 + (-14190)/(-40).
2, 3, 59
Let w be 87/58*(-4)/(-6). Let l(x) = 89*x**3 - 2*x**2 + 3. List the prime factors of l(w).
2, 3, 5
Let r = 3 - 2. Let q be (-2)/(4 + -2 + -1). What are the prime factors of q - r - -2 - -22?
3, 7
Suppose -7*a - 1208 - 738 = 0. Let k = -162 - a. List the prime factors of k.
2, 29
Suppose 2*z + 5*n + 12 = 0, -5*z = -0*z - 2*n + 1. Let j be (1 - z)/((-2)/39). Let k = -13 - j. What are the prime factors of k?
2, 13
Suppose f + 16 = -7. Let b = f - -64. What are the prime factors of b?
41
Let d = -56 - -395. List the prime factors of d.
3, 113
Let a(o) = -o**2 + 7*o - 6. Let q be a(5). Suppose q*n = 5*n + s - 96, 5*n - 471 = -2*s. Suppose 29 = u - i, -29 = 2*u + i - n. List the prime factors of u.
31
Suppose 5*b + z - 57 = -0*b, 0 = -3*b - 4*z + 24. Let d(o) be the first derivative of -o**4/4 + 13*o**3/3 - 5*o**2 - 3*o - 3. List the prime factors of d(b).
3, 7
Let r be (908 - -2)*2/(-5). Let c be (-3)/(r/352 - -1). Let z = -29 + c. List the prime factors of z.
59
Let g(k) = -k**2 + 6*k + 3. Let p be g(6). Suppose -248 = -p*q + 61. Let m = q + -62. What are the prime factors of m?
41
Let d(u) be the third derivative of -u**5/120 + u**4/24 + u**3/2 - 3*u**2. Let l(k) be the first derivative of d(k). What are the prime factors of l(-4)?
5
Suppose -w + 0 = -5. Suppose -3*l = l - 2*b - 170, 5*b = w*l - 205. What are the prime factors of l?
2, 11
Suppose -a = -1, -2*l + 4*a + 1 = -3. What are the prime factors of (-1576)/(-28) + l/(-14)?
2, 7
Let h = 1120 + -650. What are the prime factors of h?
2, 5, 47
Let v be (7 - 4)/((-12)/(-32)). Suppose -v*a = -5*a - 57. Let l = -5 + a. What are the prime factors of l?
2, 7
Suppose 24 = 2*b - 2. Let p = 11 - b. What are the prime factors of p*(4 + -4 + -20)?
2, 5
Suppose -5*s - 2*c + c = -57, -4*c = -2*s + 14. Suppose -3*k + 2*l + 27 = -l, -5*l = 3*k - s. List the prime factors of k.
7
What are the prime factors of (12/16 - 1) + (-125895)/(-44)?
2861
Let j(w) = -17*w - 39. Suppose -47*a = -49*a - 26. What are the prime factors of j(a)?
2, 7, 13
Let z be (-4)/(-12) - (-34)/6. Let p(s) = -s**3 + 8*s**2 + 2*s - 3. What are the prime factors of p(z)?
3
Let t = -5 + 5. Suppose 2*w + 4*y + 18 = t, 0 = -4*w - 4*y - 22 - 30. Let p = w + 35. List the prime factors of p.
2, 3
Let c(a) = -a + 5. Let k be c(2). Suppose -k*b = -r, 3*r = -b - 4*b - 70. Let y = -12 - r. What are the prime factors of y?
3
Let h(l) = -l**2 + 2*l - 403. Let g be h(0). Let x = -146 - g. List the prime factors of x.
257
Suppose 6*f = -206 + 980. What are the prime factors of f?
3, 43
Let y be 2/11 + (-1098)/(-11). Let s be y/6 - 4/(-12). Suppose -2*w - 3*g = -21, -7 + s = -2*g. List the prime factors of w.
2, 3
Suppose -5*j - 37 = -3*m, -j - 17 = -m + 3*j. Suppose 180 = 5*s - h, 2*s - h = -2*s + 143. Let c = s - m. List the prime factors of c.
2, 7
Let q = -91 + 82. Let a(k) = 3*k**2 + 9*k - 29. What are the prime factors of a(q)?
7, 19
List the prime factors of 162 + -6*4/(-24).
163
Let i = -15 - -24. Let f be (-4 - -1)/(i/(-24)). Suppose f = -3*v + 23. List the prime factors of v.
5
Let w = -9 - -1. Suppose -4*f + 0*o = -5*o - 94, 4*o + 29 = f. Let z = f + w. What are the prime factors of z?
13
Suppose -3*j - f + 1345 = 0, 1135 + 1101 = 5*j - 4*f. What are the prime factors of j?
2, 7
Let x = -741 - -1237. What are the prime factors of x?
2, 31
Suppose 0 = -5*v - 20, g + 4*v = 7*v + 12. Suppose h - 2*y - 89 = g, 0 = -3*y + 2*y + 1. List the prime factors of h.
7, 13
What are the prime factors of (-101 - 12)/(2*4/(-40))?
5, 113
Let w(k) = -k**3 + 5*k**2 - 3*k - 1. Let a be w(4). Suppose 0 = -3*p + a*z + 201, p - 48 = -3*z + 27. List the prime factors of p.
3, 23
Suppose -3*m - 1563 = -6*m - 3*p, p + 523 = m. What are the prime factors of m?
2, 3, 29
Suppose -w + 4*i = w - 322, 0 = 4*w - 3*i - 654. Suppose -5 + w = 5*l. List the prime factors of ((-120)/l)/(6/(-16)).
2, 5
Let z be (-1 + 3)/(-2)*-10. Let b(r) be the third derivative of r**4/3 - 4*r**3 + 46*r**2 + 3*r. List the prime factors of b(z).
2, 7
Suppose 0 = -3*w - 2*t + 518, 2*t = 12*w - 8*w - 672. Let c = w + -101. What are the prime factors of c?
3, 23
Let n(j) be the first derivative of j**4/12 + 5*j**3/3 - 6*j**2 - 6*j - 5. Let z(w) be the first derivative of n(w). List the prime factors of z(-13).
3
Let t = 0 + 0. Let i(d) = d - 13. Let g be i(16). Suppose -3*z = 2*r - 54, g*z - 60 = -t*z - 4*r. What are the prime factors of z?
2
Let y(c) = -25*c + 71. What are the prime factors of y(-7)?
2, 3, 41
Let y be (-4)/22 - 474/(-66). Let d be (2/(-12))/(y/(-42)). What are the prime factors of (d - 1) + (-5 - -31)?
2, 13
Let t = -4899 + 7363. What are the prime factors of t?
2, 7, 11
Suppose 23*o = 10274 + 1364. What are the prime factors of o?
2, 11, 23
Suppose -2 + 4 = -3*q - 2*v, -26 = -5*q + 4*v. Suppose -3*m - 5 = -0*m + 5*u, q*m = 3*u - 16. What are the prime factors of ((-15)/m)/((-3)/(-22))?
2, 11
Suppose 0 = 2*o + q + 665, 0*o + 4*o - 4*q + 1324 = 0. Let g be (-7)/21 + o/(-6). Let p = g + -32. What are the prime factors of p?
23
Let d = -254 - -375. Suppose -t + 3*z = 7*z + d, 4*z = 5*t + 629. What are the prime factors of (t/(-20))/((-1)/(-4))?
5
Let j(y) = 3*y + 15. Let w be j(-8). What are the prime factors of w/(-15) - (-828)/45?
19
Suppose 4*t - l - 183 = 0, -3*l = 4*t - 8*l - 195. Suppose 4*h - t = 51. Let k = h + -18. List the prime factors of k.
2, 3
Suppose -3*h + 5 + 4 = 3*y, -3*h = -2*y - 29. What are the prime factors of h?
7
Let l be 7*(-6*(-3)/(-6))/(-3). Suppose -235 = -l*j + 2*j. What are the prime factors of j?
47
Let n(x) = 8*x**2 - x - 3. Let p(u) = 2*u**2 + u + 3. Let q be p(0). List the prime factors of n(q).
2, 3, 11
Suppose 6*t = t + 1050. Let n = t - 77. What are the prime factors of n?
7, 19
Suppose -3453 = -8*b + 467. Let c = b + -348. What are the prime factors of c?
2, 71
Suppose 5*k = -4*o + k + 16060 | {
"pile_set_name": "DM Mathematics"
} |
.2. Let l = 0.2 + s. Sort 3, -3/4, l.
-3/4, l, 3
Let a(x) = -x**2 - 17*x - 14. Let z be a(-16). Let w = -0.5 + 0. Sort 0.3, z, w in decreasing order.
z, 0.3, w
Suppose -3*i + 6*i = -2*b + 4, 2*b + 4*i - 2 = 0. Let y = b - 2. Let h(f) = 5*f**3 - f**2 - 2*f - 1. Let s be h(-1). Put -1, s, y in descending order.
y, -1, s
Let s be (3 - 3)*(-2)/(-2). Suppose s = -3*j + 1 + 8. Suppose l - 7 = j*l - 3*q, 0 = -q + 1. Put 4, l, -5 in descending order.
4, l, -5
Let p be 4/((-8)/(-6)) - -3. Suppose -p*q = -3*q + 6. Let w be (-3 - 7)*1/q. Put w, -5, -1 in decreasing order.
w, -1, -5
Let i = -0.8 + 7.8. Let o = 0.08 - -5.92. Let u = i - o. Sort 0, -2, u in decreasing order.
u, 0, -2
Suppose 3*a + 29 = -5*p, 0 = 2*p - 6*a + 2*a - 4. Put p, -2, 0 in decreasing order.
0, -2, p
Let v be 2 - (2 - -2 - 2). Sort -0.1, -3, v in descending order.
v, -0.1, -3
Let d = 6 - 1. Sort d, -10, 1 in decreasing order.
d, 1, -10
Let l = 1/57 + -61/228. Let s be (-172)/100 + 4/2. Let b = -3/25 - s. Sort l, b, -1 in descending order.
l, b, -1
Suppose 2*n = 5*n + 3. Let m(l) = 2*l**2 + 2*l + 1. Let h be m(-1). Let z = h + n. Put 3, 1, z in ascending order.
z, 1, 3
Let u = 1 + 1. Suppose -3*v = 2*a + a + 15, u*v + 7 = a. Sort 5, 1, a.
a, 1, 5
Let a be ((-3)/((-18)/4))/((-42)/49). Let u be (116/189)/((-2)/(-3)). Let y = a + u. Put 0, y, -0.2 in decreasing order.
y, 0, -0.2
Let s = 117 + -200. Let o = s + 579/7. Let z = -0.1 - -0.2. Put 1/3, z, o in descending order.
1/3, z, o
Let j = 172/207 - 14/23. Put -1, 0, j, 1/4 in increasing order.
-1, 0, j, 1/4
Let o be -1 - ((-17)/26 + (-3)/6). Sort 0.2, -3, o in descending order.
0.2, o, -3
Let g = 121/2 + -62. Suppose -2*l = 3*b + 6, 5*l + 16 - 1 = 0. Suppose -4*u + 18 - 6 = b. Sort u, -0.2, g in increasing order.
g, -0.2, u
Let x = -0.2 - -9.2. Let o = x - 4. Let j(w) = -w**2 + 8*w + 15. Let p be j(10). Put p, 1, o in decreasing order.
o, 1, p
Let t be 1 - (-15)/9*-3. Let h be t/(-16) - 6/(-8). Put -1, -0.1, h in increasing order.
-1, -0.1, h
Let c = -3 + 2.8. Let u = 0.99 - -0.01. Let g = 1.9 + 0.1. Put g, c, u in decreasing order.
g, u, c
Let p = 0.2 - 5.2. Let h = 43 - 42.8. Sort h, p, 0.1 in ascending order.
p, 0.1, h
Let k be (1/2)/(3/(-2)). Let q be (0 + -3 + 3)/2. Let c be (q - -2) + 18/(-8). Put k, -2, c in descending order.
c, k, -2
Suppose -2*m - 5*p = 9, m - 5*p + 5 = -7. Put m, -5, -4, 5 in descending order.
5, -4, -5, m
Let h = 21.1 - 21. Sort -2/5, 4, h.
-2/5, h, 4
Let i = -33/2 + 15. Sort 1/3, i, -2/9.
i, -2/9, 1/3
Suppose 51 = 78*a - 61*a. Let f be 2*(-2)/((-2)/(-1)). Sort a, f, -5 in descending order.
a, f, -5
Let p(h) = h**3 - 4. Let z be p(0). Let l(g) = g**3 + 17*g**2 - g - 16. Let v be 366/(-21) - (-3)/7. Let o be l(v). Sort o, -2, z in descending order.
o, -2, z
Suppose -7*t + 4*g = -3*t - 84, -3*g = -4*t + 89. Put 1, t, -3 in ascending order.
-3, 1, t
Let a be (0/1)/1*1. Suppose 4*w + 16 = -a. Put w, -5, 2 in descending order.
2, w, -5
Suppose -3*a = -z - 9, -4*a - 4 = -2*a - 4*z. Let s = 10 - 7. Let y = -49 + 244/5. Put a, y, s in ascending order.
y, s, a
Let d(s) = -6*s**3 + 0*s**2 + 3 + 5*s - 2*s**2 + 5*s**3 - 1. Let z be d(-3). Put 1, z, -1 in decreasing order.
1, -1, z
Let l = -0.1 - -0.34. Let b = l + 0.06. Sort b, -4, -5 in descending order.
b, -4, -5
Suppose 2*a = 3*a - 16. Let q be 4/a + 1/(-4). Suppose i + 1 - 5 = q. Sort -5, -4, i in ascending order.
-5, -4, i
Let v be -1 + (0 - 1 - -2). Suppose -9 = -2*p + h, 3*p - 6*h - 24 = -h. Suppose 4*r - 3 - 1 = 0. Put p, r, v in ascending order.
v, r, p
Let v = -22 + 21. Sort -5, v, 5 in descending order.
5, v, -5
Suppose 4*f = 5*f. Let n be (-63)/156 - 2/(-8). Sort 3/5, f, n in increasing order.
n, f, 3/5
Let x = 1104/7 + -158. Sort -2, x, -5.
-5, -2, x
Let v be (-27)/(-21) + 4/(-14). Let l = -31 + 33. Put l, -3, v in descending order.
l, v, -3
Let p be (-2)/(-8) + (-35)/(-4). Let u be (-13)/3 + 3/p. Let v = -6 - u. Sort v, 3, 0 in decreasing order.
3, 0, v
Let s = 0.12 - 0.03. Let b = s + -4.09. Let m = 3.7 + b. Sort m, -0.4, -1 in decreasing order.
m, -0.4, -1
Let m = 23 + -15. Suppose 0*o = 4*o + m. Put -0.2, o, 2/13 in decreasing order.
2/13, -0.2, o
Let z(u) = -u**2 - 5*u - 3. Let k be z(-4). Let q be k + 3/(-6)*2. Put q, -2, -3 in ascending order.
-3, -2, q
Let g = -8 - -12. Let o be 44/(-10) - 2/(-5). Let y(t) = -t - 1. Let x be y(o). Sort x, g, -1/4.
-1/4, x, g
Let h be ((-112)/(-28))/((-1)/(1 + 0)). Let q(y) = y**3 + 3*y**2 - 4*y + 4. Let f be q(-4). Put h, -3, f in decreasing order.
f, -3, h
Let w = -5.7 - -6. Let j = w + -0.7. Let y = 10 - 8. Sort y, j, 5.
j, y, 5
Let w(f) be the second derivative of -f**3/6 + f**2 - 6*f. Suppose 6*i - i - 25 = 0. Let y be w(i). Sort y, 3, 4 in descending order.
4, 3, y
Let f = -72 - -27. Let i be (-20)/f*(-1)/2. Suppose -2*k + 13 = -2*y + k, -4*y - 5 = k. Sort 1, i, y.
y, i, 1
Let p = 19 - 12. Let y be 2/p - (-52)/14. Let l = 2 - y. Put l, 2, 5 in increasing order.
l, 2, 5
Let q = -7 - -8. Suppose 2*p + 5 = 3*s, 3*s - q - 3 = p. Let f(n) = -n + 2. Let u be f(6). Sort -5, s, u in descending order.
s, u, -5
Let b be (-2)/7 - 24/14. Let k be (-1)/(((-2)/(-16))/(-1)). Let f = k - 5. Sort b, f, 2 in increasing order.
b, 2, f
Suppose 4*v = -3*m - 74, 3*m - 8 + 2 = 0. Let r = -19 - v. Sort 5, r, -2 in decreasing order.
5, r, -2
Suppose 2*r = -2*r - 44. Let l = r - -13. Let k be (-1)/(-1) + 0 + -2. Put l, -2, k in increasing order.
-2, k, l
Let p = -114 - -114.3. Sort 0.2, p, -4, 6 in descending order.
6, p, 0.2, -4
Suppose -t - c + 2 = -0, -3*c + 6 = 5*t. Let q = 0.077 + -0.047. Sort 3, q, t.
t, q, 3
Let x = -1 + 3.5. Let y = 3 - x. Sort 0.1, y, 1.
0.1, y, 1
Let p = -1 + -2. Let h be ((-2)/2)/1 + -8. Let w = -4 - h. Put 0.5, p, w in descending order.
w, 0.5, p
Let w = 4.5 - 4. Let h = -0.1 - 0.4. Let i = w + h. Sort -4, i, 0.4 in descending order.
0.4, i, -4
Suppose 3*x - 32 = -4*z + 8, 0 = 2*x + 3*z - 26. Suppose l - 4 = -0*n + n, 4*l - 5*n = x. Sort 5, l, -5 in increasing order.
-5, l, 5
Let x = 10 + -2. Sort x, 0, -3 in decreasing order.
x, 0, -3
Suppose k - v = -6*v - 15, -5*k + 37 = -3*v. Suppose 45 + 10 = 5*n. Suppose 9 + n = -k*m. Sort 5, 3, m in descending order.
5, 3, m
Let x = 30.3 + -33. Let v = 3.05 - 0.05. Let h = v + x. Put h, -4/5, -6 in decreasing order.
h, -4/5, -6
Suppose 17*s - 16*s + 16 = 0. Sort -5, s, 5.
s, -5, 5
Let w = -1.101 + 0.101. Sort 0, 0.4, w in increasing order.
w, 0, 0.4
Let q(d) = -d**2 + 7*d + 3. Let j be q(7). Let w = 109.07 + -104. Let c = 0.07 - w. Put 0.5, j, c in increasing order.
c, 0.5, j
Let s(c) = c**2 + 5*c + 4. Let v be s(-4). Suppose 30*g = -15 - 105. Put v, g, -0.5 in ascending order.
g, -0.5, v
Suppose -d - 12 = 3*r + 3*d, -5*r = 5*d + 20. Sort -5, r, -2 in ascending order.
-5, r, -2
Let q = -17 - -22. Put q, 13, 0 in decreasing order.
13, q, 0
Let k be 12/(-20) - 6/15*1. Sort 0, k, -5, -3 in increasing order.
-5, -3, k, 0
Suppose -6*s - 4 = -4*s. Sort 2, s, 1 in increasing order.
s, 1, 2
Let l = -2 - -2. Let d be -1 - (-3 - 2 - 1). Suppose 5*w + 3*v = -7 - 9, -4*w + 3*v - 29 = 0. Sort w, d, l.
w, l, d
Let s be 6/(-8) + -1 + 41/(-164). Put s, 0, 13 in ascending order.
s, 0, 13
Let v = -61.6 - -68. Let h = v + 1.6. Let p = -3 + h. Sort 1, 2, p in increasing order.
1, 2, p
Let b = 23/5 - 141/35. Let f = 7/22 - -97/110. Sort f, b, 0 in increasing order.
0, b, f
Let b = 101/55 - 18/11. Sort -0.8, -3, b in ascending order.
-3, -0.8, b
Let g = 19 + -18.96. Sort g, -0.4, -4 in descending order.
g, -0.4, -4
Let u be 4 - 4 - 1*-4. Suppose 3*m = -5*r - 19, 0 = -u*r - 3 - 17. Let z = 4 - 6. Put -4, z, m in ascending order.
-4, z, m
Suppose -41*y - 8 = -49*y. Sort -2, -9, y in decreasing order.
y, -2, -9
Let w(c) = c**2 + c - 1. Let l = 9 - 9. Let j be w(l). Put 0.4, -0.05, j in ascending order.
j, -0.05, 0.4
Let a = -1 + 6. Suppose -8 = -a*q - 3*k, -3*q + 0*q + k = -16. Let o be ((-2)/4)/((-1)/(-2)). Sort 5, o, q in increasing order.
o, q, 5
Let w = -0.14 + 0.14. Put w, -5, 0.4 in decreasing order.
0.4, w, -5
Let k(g) = 3*g - 2. Let v be k(2). Suppose 9*p - v*p = 0. Suppose -3*t + t - h = 6, -4*h - 14 = 3*t. Sort t, p, -5 in increasing order.
-5, t, p
Let d(a) = a**2 + 6*a + 4. Let k be d(-4). Let y(z) = -z**2 + 3*z. Let s be y(5). Let t be (s/(-4) + -2)*-10. Sort k, t, -2.
t, k, | {
"pile_set_name": "DM Mathematics"
} |
is the closest to -1 in t, 3, m?
m
Let y be (-4)/5*(-7)/(-14). What is the nearest to y in 0.1, 5, 1/5?
0.1
Let n = 360 + -361. Let l be 3 + -2 + (-8)/10. What is the nearest to n in l, -0.1, 0.3?
-0.1
Let a = 68.6 + -69. What is the nearest to -2 in a, 0.1, 1/2, -0.5?
-0.5
Let v = 18 + 2. Let n = v + 4. Let s be 8/n*6/(-4). Which is the nearest to -1? (a) -1/5 (b) 0 (c) s
c
Let w be 30/(-1 - 1)*24/(-72). Which is the nearest to 0.3? (a) -3/5 (b) -0.5 (c) 5/6 (d) w
c
Let v be (-18)/(-63)*2/6. Let w = 0.23 + -9.23. Let r = w + 6. Which is the closest to 1? (a) r (b) 1/3 (c) v
b
Let h = -383 + 388. Which is the closest to 3? (a) -3 (b) -7 (c) 0 (d) h
d
Let q = -9.04 - -9. Let j = 164.7 + -165. Which is the nearest to -2/5? (a) j (b) q (c) 2
a
Let x = -1940 + 1939.8. Let w be 2/(-4)*8/(-6). Let g(q) = q - 5. Let d be g(0). Which is the closest to w? (a) -0.14 (b) d (c) x
a
Let w = 1152 + -1148. Which is the closest to 0.1? (a) 2/9 (b) w (c) -0.2
a
Let r = 0.205 - 0.605. What is the nearest to 0 in 4/9, -0.15, -1, r?
-0.15
Let p = -6285789/55 - -114284. Let i = p - -36/11. Suppose 0 = 7*k - 50 + 15. What is the closest to k in i, 3/8, 1/6?
3/8
Let w(g) = -g**3 - 3*g**2 + g + 13. Let i be w(-6). Let k = -117 + i. Which is the closest to -2/29? (a) k (b) 6 (c) 4
a
Let b be (-12)/(-8)*8/42. Let h = 162 - 809/5. What is the nearest to -1 in 2/5, h, b?
h
Let w = -3.44 + 4.44. Suppose 75 = -5*q + p, 0 = -2*q + 4*p - 0*p - 12. Let j = -63/4 - q. Which is the nearest to 0.1? (a) w (b) -0.3 (c) j
c
Let c = -4 + 3.6. Let g = 0.20712 - 0.10712. What is the closest to -1/2 in -4/7, c, g?
-4/7
Let z = 21 - 32. Let k = 4 + z. Let s = k + 9. Which is the closest to s? (a) -5 (b) 1/5 (c) -0.5
b
Let m = 14.4 - 14.3. Let g = 3850/1037 - 62/17. Let n = g - -110/183. Which is the closest to m? (a) 0 (b) n (c) 2/9
a
Let b = 443 + -444. Let w = -0.64 + 0.04. What is the nearest to b in 4, w, 1/7?
w
Let x be (-1072)/(-1876) + (-11)/7. Let j = -5 - -7. What is the nearest to j in x, 4, 3?
3
Let d = 185/12 - 91/6. Let v = 0.6 - -1.4. Which is the closest to 0? (a) 0 (b) d (c) v
a
Let m = -3 - -9. Let l be m*10/45 + 23/(-15). Let u = 0.2 - -0.3. What is the closest to -1 in l, -1/2, u?
-1/2
Let u = -691 - -689. Which is the closest to 2/17? (a) u (b) -0.3 (c) 1 (d) -5
b
Let y = 330.7 - 331. Let j = 5 + -3. What is the closest to 1 in -1/2, y, j?
j
Let u = 2/403 + -423/4030. Which is the closest to -3? (a) -5 (b) u (c) -2
c
Let v be (-2)/(-12) + (-12)/(-9). Suppose 0 = 19*z + 79 + 16. Which is the nearest to 1/2? (a) -2 (b) z (c) v
c
Suppose -4*k - 20 = -4*w, -2*k - k - 15 = -4*w. Let v = 0.35 + -0.75. Let n = 110 - 112. Which is the closest to -2? (a) n (b) k (c) v
a
Let o = 0.301 - 0.041. Let q = o - 0.66. Let m = -1 + 1. Which is the nearest to -1/2? (a) m (b) -0.1 (c) q
c
Let f = -0.034 + 1.634. Let v = 40 - 38.1. Let h = v - f. What is the nearest to 0 in -3, h, 3/5?
h
Let j be (1*2/4)/5. Let l = 15173/2 - 7586. Which is the closest to -2/3? (a) 1 (b) j (c) l
b
Let u = -0.1 + 0.1. Let c = -91 - -90. Let h be (15/6 + c)/(-3). What is the nearest to u in h, -6/5, -1/3?
-1/3
Let h = -8 - -7. Let x = -70 - -73. What is the nearest to 2 in h, -0.2, x?
x
Let f = 0.339 - -0.161. Suppose -k - l = -26, 0 = 5*k + 2*l - 3*l - 124. Let t = -47/2 + k. Which is the closest to 0.1? (a) 4 (b) f (c) t
b
Let d = -315/2 + 157. Let k be 1/2*(-1 + 0). Which is the nearest to k? (a) d (b) -0.02 (c) -1/5
a
Let y be (1889 - 1889)/(10/(-6) + 2/3). Let v = 0.1 + -0.2. What is the closest to v in y, -3, -1/3?
y
Let i be 9/12 - 17/(-4). Suppose -i*b - 40 + 105 = 0. Let f = 14.8 + -15.8. What is the nearest to f in -5, b, -0.5?
-0.5
Let k(r) = -r - 7. Let v be k(-6). Suppose 2*j + 61 - 51 = -2*z, 4*j - 4 = 2*z. What is the nearest to j in -4, 0.03, v?
v
Let d = 1.33 - 1.83. What is the closest to 0 in d, -0.4, 10, -0.1?
-0.1
Let s = -0.26 - 22.74. Let h = 22.9 + s. Which is the closest to h? (a) 0.5 (b) 3/4 (c) -2
a
Suppose -126 = -58*j + 48. What is the closest to 0.2 in -3, -115, j, -0.4?
-0.4
Let o = 8 - -52. Let r be (-46)/o + (-2)/(-3). Let p = -317 + 316. Which is the nearest to 0? (a) r (b) 2 (c) p
a
Suppose 0 = i + 3 - 8. Suppose i = -4*p + 1. Which is the closest to -1? (a) 1 (b) p (c) 0.4
b
Let c(b) = 12*b**2 - 2. Let j be c(2). Let v be 3/(-12) - j/(-120). Let q = -15/44 - -1/11. What is the nearest to 1 in v, -2, q?
v
Suppose -7*l + 11 = -o - 2*l, -4*l - 200 = 5*o. Let y = 717/28 - 433/7. Let h = y - o. What is the nearest to 0.2 in h, 5, 1/2?
1/2
Let n be -7 - -62*8/64. What is the closest to 0 in n, -6, -5, 0?
0
Let y be 2/8 + (-19)/(-84). Let l = y - 1/7. Suppose -54*f - 54 = -324. What is the nearest to -2 in 2/21, f, l?
2/21
Let g = -1.7 - -5. Let d = -3.3 + g. Which is the nearest to d? (a) -0.7 (b) 3 (c) 4
a
Let z = 13 + -13.17. Let n = z + -0.05. Let b = n - -0.22. What is the closest to b in -0.1, -5, 4?
-0.1
Let m = 871 - 871.9. Which is the nearest to 4? (a) 5 (b) 0 (c) m
a
Let m = 102 - 101.7. What is the closest to 0.2 in m, 2, -3?
m
Let i = 1 - 1.02. Let g = 0.38 - i. Let k be (-2)/(0 + 0 - (0 - -2)). What is the closest to k in g, -6/5, -1?
g
Let w = 118 + -113. Let j be (-4)/16 + (-3)/20. Let o be 1 + 0 - (-3)/(-6). What is the closest to j in 4/7, w, o?
o
Let s = 97 + -106. Let w = 9.1 + s. Which is the nearest to 4/9? (a) -5 (b) w (c) 1
b
Let w = 730 + -729.95. What is the nearest to w in -2/17, -1, 1/11, 1?
1/11
Let i(r) = -r**2 + 4*r + 15. Let q(j) = 2*j - 13. Let l be q(10). Let n be i(l). Let m be 8/6 + 4/n. What is the nearest to m in 3, -1/13, 2/3?
2/3
Let z = -0.0957 + -21.0543. Let f = z - -21. Let m = 0.25 + f. Which is the nearest to m? (a) -3 (b) 3 (c) 1/9
c
Let y = -76.868 + -0.132. Let x = 80 + y. Which is the nearest to x? (a) -2/19 (b) 0.1 (c) 1/2
c
Let x be 0 - -2*1/5. Let g = -1124 - -5621/5. Which is the closest to 2/3? (a) g (b) 5 (c) x
c
Let r = 1 - 6. Let l be 1 + (-7)/r + -2. Let j = 22 - 21.5. What is the nearest to 3/7 in 2, l, j?
l
Let s = -157 + 1097/7. What is the closest to s in 3, -2, 5?
-2
Let n = 3957/35 - 566/5. Let f = 0.06 + 2.94. Which is the nearest to 7? (a) 1/3 (b) n (c) f
c
Let x(z) = 4*z - 45. Let n be x(10). What is the closest to n in 2/3, -1/4, -2/13, -0.1?
-1/4
Let h = 66 + -49. Let a = -23.036 - -0.036. Let v = a + h. What is the nearest to -1 in v, 0.4, -0.5?
-0.5
Let s = -0.713 + 0.613. Let l be 138/(-5)*(-2)/(-3). Let z = l - -296/15. What is the closest to 4 in 3/5, z, s?
z
Let v = 1.78 + -1.88. What is the closest to 2/11 in v, -6, 5?
v
Let m = -149 + 299/2. Let g = -6 + 5.6. What is the closest to 16 in 2, g, m?
2
Let l = -0.2 + -5.8. Which is the closest to -1/3? (a) 4/3 (b) 5 (c) l
a
Let g = 36 - 88. What is the nearest to 0 in 0.1, 2/17, g?
0.1
Let t be 20/(-15)*(532/104 + -5). Which is the nearest to 1/3? (a) 0.04 (b) 2/5 (c) t (d) 1
b
Let d = -29.4 - -29. Which is the nearest to -1? (a) 1.5 (b) 0 (c) d
c
Suppose 47 + 457 = -6*k. Let s = -85 - k. What is the nearest to s in 2/11, -1/2, -6?
-1/2
Let a = 0.592 - 0.392. What is the closest to -1 in 0.3, a, -2/25, -3?
-2/25
Let n(z) = 2*z - 21. Let i be n(11). Let s be (-1)/(i - -1 - 5). Which is the closest to -2/7? (a) 1/4 (b) 3 (c) s
a
Let r be (-35)/(-420)*8/(-4). Let n = 3.8 + -4. Which is the closest to n? (a) r (b) -1/5 (c) 3
b
Let d = -0.058 - -5.358. Let n = -0.3 + d. Let u = 6780 - 6785. What is the nearest to 1 in n, u, 2/3?
2/3
Let u = -139 - -2083/15. Which is the nearest to u? (a) -0.16 (b) -1 (c) 5
a
Let y = -656 - -1311/2. What is the closest to 1/3 in 7, 0, 3/5, y?
3/5
Let m = 0.735 - -0.265. Which is the closest to -0.3? (a) 5 (b) m (c) -3
b
Let k = 0.95 - 1.25. What is the closest to 1/3 in -9, -3, -2, k?
k
Let x = 2.04 + -0.04. Let h = -74 - -73. Which is the nearest to x? (a) -1/3 (b) 0.5 (c) h
b
Let p = -805 - -804.93. Which is the nearest to 0? (a) 0.09 (b) 0 (c) p (d) 4
b
Let x = 3.2416 + -0.0316. Let r = -3.71 + x. Let w = 0 + 0.5. What is the closest to -2 in -1, r, w?
-1
Let w be (-7)/(-4) - 2/8. Let t be 502/(-10)*5/(-4). Let b = t - 63. What is the nearest to 2/3 in w, b, 1?
1
Let r = 1 - 0. Let w = -12038 + 12046 | {
"pile_set_name": "DM Mathematics"
} |
of 1931?
1931
What are the prime factors of 7481?
7481
List the prime factors of 69539.
69539
List the prime factors of 153096.
2, 3, 6379
What are the prime factors of 1754?
2, 877
List the prime factors of 15204.
2, 3, 7, 181
What are the prime factors of 3169?
3169
What are the prime factors of 32511?
3, 10837
List the prime factors of 75678.
2, 3, 12613
List the prime factors of 1287.
3, 11, 13
What are the prime factors of 5996?
2, 1499
What are the prime factors of 1145?
5, 229
List the prime factors of 21282.
2, 3, 3547
List the prime factors of 1941.
3, 647
What are the prime factors of 5081?
5081
What are the prime factors of 118?
2, 59
List the prime factors of 4766.
2, 2383
List the prime factors of 305.
5, 61
What are the prime factors of 1616?
2, 101
What are the prime factors of 3587?
17, 211
List the prime factors of 3396.
2, 3, 283
What are the prime factors of 3133?
13, 241
List the prime factors of 7469.
7, 11, 97
List the prime factors of 2248.
2, 281
What are the prime factors of 13394?
2, 37, 181
What are the prime factors of 319?
11, 29
List the prime factors of 1297.
1297
List the prime factors of 11115.
3, 5, 13, 19
What are the prime factors of 2030?
2, 5, 7, 29
List the prime factors of 66551.
61, 1091
What are the prime factors of 1368?
2, 3, 19
List the prime factors of 1287.
3, 11, 13
List the prime factors of 270.
2, 3, 5
List the prime factors of 1038.
2, 3, 173
What are the prime factors of 4331?
61, 71
List the prime factors of 28771.
28771
List the prime factors of 1351.
7, 193
List the prime factors of 2255.
5, 11, 41
List the prime factors of 878.
2, 439
List the prime factors of 166130.
2, 5, 37, 449
List the prime factors of 1465.
5, 293
What are the prime factors of 843?
3, 281
List the prime factors of 101367.
3, 7, 1609
What are the prime factors of 2083?
2083
List the prime factors of 48171.
3, 16057
List the prime factors of 4180.
2, 5, 11, 19
List the prime factors of 15411.
3, 11, 467
What are the prime factors of 8089?
8089
List the prime factors of 2692.
2, 673
List the prime factors of 41751.
3, 4639
List the prime factors of 6648.
2, 3, 277
What are the prime factors of 15444?
2, 3, 11, 13
What are the prime factors of 1429?
1429
List the prime factors of 131399.
23, 29, 197
List the prime factors of 1250.
2, 5
What are the prime factors of 835?
5, 167
List the prime factors of 82970.
2, 5, 8297
What are the prime factors of 558?
2, 3, 31
List the prime factors of 187.
11, 17
What are the prime factors of 4099?
4099
What are the prime factors of 1300?
2, 5, 13
List the prime factors of 26940.
2, 3, 5, 449
What are the prime factors of 4293?
3, 53
List the prime factors of 1683.
3, 11, 17
What are the prime factors of 594?
2, 3, 11
List the prime factors of 15616.
2, 61
What are the prime factors of 21102?
2, 3, 3517
List the prime factors of 7353.
3, 19, 43
What are the prime factors of 144?
2, 3
List the prime factors of 6612.
2, 3, 19, 29
What are the prime factors of 115080?
2, 3, 5, 7, 137
List the prime factors of 11478.
2, 3, 1913
What are the prime factors of 491?
491
List the prime factors of 17772.
2, 3, 1481
What are the prime factors of 20714?
2, 10357
What are the prime factors of 1311?
3, 19, 23
What are the prime factors of 387?
3, 43
List the prime factors of 282.
2, 3, 47
List the prime factors of 52320.
2, 3, 5, 109
List the prime factors of 18296.
2, 2287
What are the prime factors of 12471?
3, 4157
List the prime factors of 3719.
3719
What are the prime factors of 67646?
2, 149, 227
What are the prime factors of 142?
2, 71
List the prime factors of 6280.
2, 5, 157
What are the prime factors of 29389?
29389
List the prime factors of 2912.
2, 7, 13
List the prime factors of 25912.
2, 41, 79
List the prime factors of 12269.
12269
List the prime factors of 6535.
5, 1307
List the prime factors of 15595.
5, 3119
List the prime factors of 261.
3, 29
What are the prime factors of 87852?
2, 3, 7321
What are the prime factors of 942?
2, 3, 157
What are the prime factors of 13025?
5, 521
List the prime factors of 5956.
2, 1489
What are the prime factors of 21433?
21433
What are the prime factors of 13840?
2, 5, 173
List the prime factors of 2355.
3, 5, 157
List the prime factors of 2476.
2, 619
What are the prime factors of 27335?
5, 7, 11, 71
What are the prime factors of 349?
349
List the prime factors of 3176.
2, 397
What are the prime factors of 85773?
3, 28591
List the prime factors of 8689.
8689
What are the prime factors of 64?
2
What are the prime factors of 5766?
2, 3, 31
What are the prime factors of 17642?
2, 8821
List the prime factors of 6976.
2, 109
List the prime factors of 1526.
2, 7, 109
What are the prime factors of 14517?
3, 1613
List the prime factors of 34994.
2, 17497
What are the prime factors of 2793?
3, 7, 19
List the prime factors of 8160.
2, 3, 5, 17
List the prime factors of 5589.
3, 23
List the prime factors of 27397.
27397
What are the prime factors of 959?
7, 137
List the prime factors of 8343.
3, 103
List the prime factors of 98521.
83, 1187
What are the prime factors of 11131?
11131
What are the prime factors of 6704?
2, 419
What are the prime factors of 1969?
11, 179
What are the prime factors of 1147?
31, 37
List the prime factors of 714.
2, 3, 7, 17
What are the prime factors of 2687?
2687
List the prime factors of 13152.
2, 3, 137
List the prime factors of 29797.
83, 359
List the prime factors of 6319.
71, 89
What are the prime factors of 5488?
2, 7
List the prime factors of 1459.
1459
List the prime factors of 1301.
1301
List the prime factors of 24908.
2, 13, 479
List the prime factors of 937.
937
List the prime factors of 4104.
2, 3, 19
What are the prime factors of 1328?
2, 83
What are the prime factors of 737?
11, 67
What are the prime factors of 288?
2, 3
What are the prime factors of 305?
5, 61
List the prime factors of 459.
3, 17
List the prime factors of 32179.
7, 4597
List the prime factors of 5386.
2, 2693
List the prime factors of 21240.
2, 3, 5, 59
List the prime factors of 24.
2, 3
What are the prime factors of 331?
331
What are the prime factors of 30595?
5, 29, 211
List the prime factors of 2710.
2, 5, 271
List the prime factors of 370.
2, 5, 37
List the prime factors of 78839.
78839
List the prime factors of 4360.
2, 5, 109
What are the prime factors of 4076?
2, 1019
What are the prime factors of 101833?
101833
What are the prime factors of 58880?
2, 5, 23
List the prime factors of 87844.
2, 21961
What are the prime factors of 13735?
5, 41, 67
What are the prime factors of 11150?
2, 5, 223
What are the prime factors of 21352?
2, 17, 157
List the prime factors of 1128.
2, 3, 47
What are the prime factors of 63918?
2, 3, 53, 67
List the prime factors of 2792.
2, 349
What are the prime factors of 21951?
3, 271
What are the prime factors of 2242?
2, 19, 59
List the prime factors of 37003.
37003
List the prime factors of 93775.
5, 11, 31
List the prime factors of 9599.
29, 331
What are the prime factors of 4575?
3, 5, 61
List the prime factors of 10955.
5, 7, 313
What are the prime factors of 6130?
2, 5, 613
What are the prime factors of 15072?
2, 3, 157
List the prime factors of 66198.
2, 3, 11, 17, 59
List the prime factors of 7718.
2, 17, 227
What are the prime factors of 1183?
7, 13
What are the prime factors of 59?
59
What are the prime factors of 31902?
2, 3, 13, 409
List the prime factors of 13130.
2, 5, 13, 101
What are the prime factors of 37510?
2, 5, 11, 31
What are the prime factors of 49837?
19, 43, 61
What are the prime factors of 57029?
7, 8147
List the prime factors of 411.
3, 137
What are the prime factors of 3217?
3217
List the prime factors of 11772.
2, 3, 109
What are the prime factors of 19628?
2, 7, 701
What are the prime factors of 43590?
2, 3, 5, 1453
What are the prime factors of 59187?
3, 109, 181
List the prime factors of 18024.
2, 3, 751
List the prime factors of 5725.
5, 229
List the prime factors of 1326.
2, 3, 13, 17
What are the prime factors of 23157?
3, 31, 83
List the prime factors of 83355.
3, 5, 5557
What are the prime factors of 8290?
2, 5, 829
What are the prime factors of 1103?
1103
What are the prime factors of 55996?
2, 13999
List the prime factors of 8754.
2, 3, 1459
What are the prime factor | {
"pile_set_name": "DM Mathematics"
} |
king 1 p and 2 e when three letters picked without replacement from ppppppppppppeepppppp.
3/190
Four letters picked without replacement from cwwcwpg. Give prob of picking 1 c, 1 p, and 2 w.
6/35
What is prob of picking 1 n and 3 y when four letters picked without replacement from {y: 10, n: 2}?
16/33
Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {p: 3, t: 3, h: 2, q: 2, w: 1, u: 1}.
1/33
Four letters picked without replacement from uuusussuss. What is prob of picking 3 s and 1 u?
5/21
Three letters picked without replacement from {b: 5, w: 2, e: 10, y: 2, z: 1}. What is prob of picking 1 z, 1 b, and 1 y?
1/114
Two letters picked without replacement from jjjjjjjjjjjjqjjfjjjj. Give prob of picking 1 j and 1 q.
9/95
Four letters picked without replacement from {r: 4, g: 1, o: 3, u: 3}. What is prob of picking 2 r and 2 o?
3/55
Three letters picked without replacement from rrrrriirririi. What is prob of picking 3 i?
5/143
Two letters picked without replacement from tutubq. Give prob of picking 2 t.
1/15
Two letters picked without replacement from kbjxkkkb. What is prob of picking 2 b?
1/28
What is prob of picking 2 u when two letters picked without replacement from ruuuuuruuuu?
36/55
Calculate prob of picking 1 s, 1 l, 1 i, and 1 b when four letters picked without replacement from {b: 1, s: 2, i: 3, d: 1, l: 5}.
2/33
What is prob of picking 1 p and 1 x when two letters picked without replacement from {u: 1, k: 2, w: 4, p: 2, x: 2, m: 1}?
2/33
What is prob of picking 2 r and 1 p when three letters picked without replacement from mvcvprpmpcprr?
6/143
Four letters picked without replacement from {r: 2, a: 4}. Give prob of picking 1 r and 3 a.
8/15
Calculate prob of picking 1 a, 1 s, and 1 g when three letters picked without replacement from fmbbfgmbfmasbm.
1/364
What is prob of picking 1 e, 1 u, and 1 b when three letters picked without replacement from uubiiebbbiiiebiebbb?
16/323
Calculate prob of picking 1 l, 1 y, and 1 b when three letters picked without replacement from hfhhbyyllbhhnylnyhb.
12/323
Calculate prob of picking 2 e when two letters picked without replacement from sese.
1/6
Calculate prob of picking 2 o, 1 m, and 1 q when four letters picked without replacement from nmnnonmqomnnq.
6/715
Two letters picked without replacement from {f: 2, r: 17}. What is prob of picking 2 f?
1/171
Calculate prob of picking 3 q and 1 b when four letters picked without replacement from rbrqqrbqrlbqqnulbqqq.
224/4845
Three letters picked without replacement from ffqfpnpnpw. Give prob of picking 2 f and 1 w.
1/40
What is prob of picking 3 h and 1 j when four letters picked without replacement from hjhhhhhjh?
5/9
Two letters picked without replacement from svssvssssvsssvsssvs. Give prob of picking 2 s.
91/171
Three letters picked without replacement from mqveqqmqev. What is prob of picking 1 v, 1 q, and 1 m?
2/15
Two letters picked without replacement from ccncccnpnnncccncccn. What is prob of picking 1 p and 1 c?
11/171
Two letters picked without replacement from {g: 2, v: 1, u: 3, e: 1, b: 13}. What is prob of picking 1 v and 1 u?
3/190
Calculate prob of picking 3 i when three letters picked without replacement from ibiibbbbbi.
1/30
What is prob of picking 1 z and 2 i when three letters picked without replacement from {z: 2, i: 8}?
7/15
Two letters picked without replacement from {m: 4, c: 2, h: 4, w: 1}. Give prob of picking 1 m and 1 c.
8/55
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {a: 2, h: 2, f: 3, r: 1, d: 6, k: 1}.
2/105
What is prob of picking 3 v and 1 j when four letters picked without replacement from {x: 2, t: 3, v: 3, d: 3, g: 2, j: 1}?
1/1001
What is prob of picking 1 j, 1 m, 1 k, and 1 q when four letters picked without replacement from amaaqaqajkmjk?
16/715
Two letters picked without replacement from jtttj. Give prob of picking 1 j and 1 t.
3/5
Two letters picked without replacement from {g: 3, p: 1, r: 2, a: 1, y: 3}. Give prob of picking 1 p and 1 g.
1/15
What is prob of picking 1 f, 1 z, and 1 e when three letters picked without replacement from zeefeezezzeee?
16/143
Four letters picked without replacement from {f: 12, u: 3}. Give prob of picking 2 u and 2 f.
66/455
Calculate prob of picking 1 o, 1 g, 1 w, and 1 c when four letters picked without replacement from jjwgcoc.
2/35
Calculate prob of picking 1 s and 1 b when two letters picked without replacement from smmmmmmbmmm.
1/55
Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {x: 1, a: 6, p: 1, z: 2, o: 3}.
0
Calculate prob of picking 4 b when four letters picked without replacement from {c: 9, b: 5}.
5/1001
Three letters picked without replacement from {t: 7, s: 7, a: 2, u: 3}. Give prob of picking 1 t and 2 s.
49/323
What is prob of picking 2 p when two letters picked without replacement from {p: 3, x: 4, j: 1, g: 2, r: 4}?
3/91
What is prob of picking 3 m when three letters picked without replacement from {m: 10}?
1
What is prob of picking 1 g and 1 x when two letters picked without replacement from dgpddoxpdpx?
2/55
Four letters picked without replacement from {w: 3, f: 1, s: 7, p: 3}. Give prob of picking 4 s.
5/143
Three letters picked without replacement from bocobnnnobocbvknocc. What is prob of picking 2 b and 1 n?
8/323
Four letters picked without replacement from {l: 2, f: 2, o: 2, c: 3}. Give prob of picking 1 l and 3 c.
1/63
Calculate prob of picking 2 s when two letters picked without replacement from ksnsn.
1/10
Calculate prob of picking 2 f when two letters picked without replacement from {i: 2, f: 18}.
153/190
Two letters picked without replacement from {w: 3, v: 2, r: 12}. Give prob of picking 1 v and 1 w.
3/68
Two letters picked without replacement from nnnccn. What is prob of picking 2 c?
1/15
Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {q: 7, g: 2, r: 1}.
2/45
Three letters picked without replacement from baexeambeeena. What is prob of picking 1 m, 1 e, and 1 n?
5/286
Four letters picked without replacement from keaezaazkqat. Give prob of picking 1 t, 1 k, and 2 z.
2/495
Two letters picked without replacement from {z: 1, r: 4, n: 1, x: 11}. Give prob of picking 1 z and 1 x.
11/136
Three letters picked without replacement from {t: 2, d: 2, y: 2, k: 6}. What is prob of picking 2 d and 1 y?
1/110
Two letters picked without replacement from {u: 4, t: 2, i: 8, d: 4, m: 2}. Give prob of picking 1 i and 1 t.
8/95
Two letters picked without replacement from {a: 7, d: 3, x: 1, t: 3}. What is prob of picking 1 t and 1 x?
3/91
Four letters picked without replacement from lhhhweshaeee. What is prob of picking 4 e?
1/495
Four letters picked without replacement from {h: 5, r: 9, w: 2, c: 2}. What is prob of picking 4 r?
7/170
What is prob of picking 1 w and 1 h when two letters picked without replacement from ubnwnhbut?
1/36
Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {a: 2, t: 8, i: 2, m: 2, v: 2}.
1/30
What is prob of picking 1 z and 1 v when two letters picked without replacement from efvqqllz?
1/28
Four letters picked without replacement from rgpgggxprx. What is prob of picking 2 p, 1 x, and 1 g?
4/105
What is prob of picking 2 f when two letters picked without replacement from sssfsffsssf?
6/55
What is prob of picking 3 p when three letters picked without replacement from kkhuhupkvpkpkkhkyu?
1/816
What is prob of picking 2 j when two letters picked without replacement from lmlpjppplllmppmppl?
0
Three letters picked without replacement from vqcqv. Give prob of picking 2 q and 1 c.
1/10
Four letters picked without replacement from pppprpprrppppppppp. Give prob of picking 2 r and 2 p.
7/68
Three letters picked without replacement from fffuffffffuff. Give prob of picking 1 u and 2 f.
5/13
Two letters picked without replacement from jkkkjkjkjjjjkjkjjkkj. Give prob of picking 2 j.
11/38
What is prob of picking 3 m and 1 c when four letters picked without replacement from ggmmmgmgmmzmgggcc?
1/34
Two letters picked without replacement from aatattttatatt. Give prob of picking 2 a.
5/39
Calculate prob of picking 2 a when two letters picked without replacement from {k: 5, a: | {
"pile_set_name": "DM Mathematics"
} |
-88
Solve -128043 = -21726*a + 7499*a for a.
9
Solve -102*k - 123*k + 84 = -197*k for k.
3
Solve 5288 - 7239 = -287*m + 12586 + 3257 for m.
62
Solve -198*b - 9541 + 1027 = 0 for b.
-43
Solve -105*x - 18*x - 24345 = 429*x - 11*x for x.
-45
Solve 339 - 436 - 506 = -3*s + 12*s for s.
-67
Solve 18591*c = 18720*c + 1290 for c.
-10
Solve -710*o = -287*o - 325*o - 314*o - 5832 for o.
-27
Solve 0 = -395*n + 1452*n + 31710 for n.
-30
Solve 45023306*x - 342 = 45023312*x for x.
-57
Solve -1415*x = -21*x + 59942 for x.
-43
Solve 19944*u - 1606583 = -4358855 for u.
-138
Solve -132*m - 856 = 2763 + 11297 for m.
-113
Solve -7066*j - 12741 - 3073 = 7948 + 4502 for j.
-4
Solve -44*z - 15*z - 66*z - 34*z + 3021 = 0 for z.
19
Solve -179*v + 207*v = 735*v + 9898 for v.
-14
Solve 0 = 4913*o - 4983*o - 3080 for o.
-44
Solve 216*s + 207*s = -504*s + 1854 for s.
2
Solve -1133 - 2404 - 8258 + 1491 = 161*m for m.
-64
Solve -184*k = 240*k + 611*k - 46642 + 4207 for k.
41
Solve -171*w + 2775 = -570*w + 12351 for w.
24
Solve 803*j + 4984 = 3788*j + 181099 for j.
-59
Solve -77316 = -3843*l + 57189 for l.
35
Solve 18*n = -156*n - 52*n - 114*n + 5780 for n.
17
Solve -5888 = 4567*h - 4751*h for h.
32
Solve -118*h + 16620 = -661*h - 288*h for h.
-20
Solve 298*w + 690 - 3963 = 601 for w.
13
Solve 844*b = -896*b + 1641*b + 2376 for b.
24
Solve 2960*s - 46717 - 21535 = 8708 for s.
26
Solve -263*z - 5409 = 351*z + 11169 for z.
-27
Solve -5859 = -1064*c + 21551 - 7894 + 11340 for c.
29
Solve -686443 + 689807 = -116*x for x.
-29
Solve 133735 = 6734*x + 4391*x + 90481 - 212621 for x.
23
Solve 23*t + 913 = 1606*t + 7305 - 30137 for t.
15
Solve -142*o + 30*o = 482 + 4782 for o.
-47
Solve -92806 = 10617*b - 523276 - 132231 for b.
53
Solve 542*d - 24803 = 142*d - 4803 for d.
50
Solve 623*q = 1084*q + 8759 for q.
-19
Solve -7006*j + 275024 - 236499 - 570981 = 0 for j.
-76
Solve 9410 + 148 = -162*t for t.
-59
Solve -33281 = -365*g + 17103 - 744 for g.
136
Solve -345455 = -279*s - 368612 for s.
-83
Solve -3728 = -1109*d + 5672 + 54922 for d.
58
Solve 116 = -266*s - 3307 - 4823 for s.
-31
Solve 0 = 98*l - 111*l - 144*l + 3140 for l.
20
Solve 6551 + 2257 - 513 = -236*a + 507 for a.
-33
Solve -570*q - 7869 = 32031 for q.
-70
Solve -3088 = -108*l + 584 for l.
34
Solve 0 = -177*x + 6307 - 7515 - 7996 for x.
-52
Solve -2055641*d - 432 = -2055657*d for d.
27
Solve 342*c - 85682 - 103396 = -7763*c + 208067 for c.
49
Solve -141*h - 2621 = -1102 + 7646 for h.
-65
Solve -1703*i + 3410*i + 406 = 1680*i - 404 for i.
-30
Solve 1893*x - 11197 + 20539 = -2655 - 22077 for x.
-18
Solve 2*b = 92*b - 185*b + 475 for b.
5
Solve -5913 - 14667 = -588*d for d.
35
Solve -4619*j + 154832 = 431972 for j.
-60
Solve -170293 = -8493*d + 300442 + 149254 for d.
73
Solve -112028 = 1676*j - 21524 for j.
-54
Solve 0 = 116*c + 183797 - 188437 for c.
40
Solve 319*x - 113*x + 370*x + 10368 = 0 for x.
-18
Solve -591*x - 1777*x = -510*x - 42734 for x.
23
Solve -57*x = -306485 + 306428 for x.
1
Solve 113*m + 32415 = -1360*m - 688*m for m.
-15
Solve -928*p + 65011 = 871*p + 1607*p - 91665 for p.
46
Solve 11339*i = 7367*i + 278040 for i.
70
Solve 0 = -95*w + 8860 - 8195 for w.
7
Solve -797*v + 1161*v = -9828 for v.
-27
Solve -878*c = 27922 - 7728 for c.
-23
Solve -1037 = 550*i - 7005 - 632 for i.
12
Solve -84*w + 311*w - 85*w = 65*w - 3080 for w.
-40
Solve 0 = -28*q + 322*q + 10560 + 3552 for q.
-48
Solve -979*u + 14640 = -2809*u for u.
-8
Solve -147*a + 4035 = 122*a for a.
15
Solve -301*q + 497*q - 8918 - 8918 = 0 for q.
91
Solve -437*s + 4072 = 490*s + 20*s - 21497 for s.
27
Solve -956*y + 15*y = -1745*y - 51456 for y.
-64
Solve -8*h = -1004 - 1049 + 1781 for h.
34
Solve 318 - 4991 = -185*g + 5130 + 2592 for g.
67
Solve 69*g + 25*g = -55*g + 13*g - 1904 for g.
-14
Solve -582*j + 1095*j + 496 = 11269 for j.
21
Solve -88951*h + 88797*h = 10626 for h.
-69
Solve 2609 = 80*v + 65*v + 3663 + 3876 for v.
-34
Solve 4336*z + 5561 - 10189 = 207836 for z.
49
Solve 1696*o + 1646*o + 53102 - 266990 = 0 for o.
64
Solve -40*h - 3316 + 77 + 539 = 60*h for h.
-27
Solve -398*b = -942*b + 225*b - 30943 for b.
-97
Solve -53*k + 892*k = -214*k - 124254 for k.
-118
Solve 130*b - 105*b = -41 + 1166 for b.
45
Solve 200*y + 142018 = 147618 for y.
28
Solve -1591*d + 8724 = -23096 for d.
20
Solve -5430*g - 494341 + 83536 = 3699*g for g.
-45
Solve -2420*f + 55960 = 20824 - 54404 for f.
37
Solve 17753 = 4907*v + 76637 for v.
-12
Solve 5369*j - 198788 - 21341 = 0 for j.
41
Solve -1655*d + 8066*d = -7255*d + 13666 for d.
1
Solve 128900 = 15*s + 128585 for s.
21
Solve -154*b - 209*b - 181*b + 23975 = -1593 for b.
47
Solve -1895*n + 5745 - 1498 = -67763 for n.
38
Solve -301*i - 203*i - 1116 = -566*i for i.
18
Solve -3163*i - 6388 + 15877 = 0 for i.
3
Solve -104*d - 17*d + 4256 = 27*d - 15*d for d.
32
Solve -18*h = 106*h + 21*h - 10*h - 2430 for h.
18
Solve 22672*g + 31992 = 28004*g for g.
6
Solve -1370*l + 7587*l - 329501 = 0 for l.
53
Solve 1355*w + 521*w + 555*w - 207*w + 46704 = 0 for w.
-21
Solve -8540 + 76984 = 518*g + 1825*g - 55735 for g.
53
Solve 2253*h = 8857*h + 99060 for h.
-15
Solve -2987*z + 5894*z = 3017*z + 9680 for z.
-88
Solve -40*x - 260*x = 11*x + 127*x - 28032 for x.
64
Solve 247*s + 12*s = 2749 + 8647 for s.
44
Solve -7256*i = -8943*i - 18277*i - 878416 for i.
-44
Solve 446*c + 257*c = 172*c - 172*c for c.
0
Solve 31*h - 498 + 907 = -1048 for h.
-47
Solve -1554 - 995 - 1631 = -288*m + 212*m for m.
55
Solve 3100*u + 1932 = -457 - 4787 + 976 for u.
-2
Solve 1720*x - 193783 = -844*x + 496*x + 27493 for x.
107
Solve -3808 = 379*t - 710*t + 219*t for t.
34
Solve 656*l - 179*l - 28826 = -256*l - 261*l for l.
29
Solve 8437*d = 266190 + 189408 for d.
54
Solve -666*q = -94*q - 7*q + 14328 + 7142 for q.
-38
Solve 172*x + 47808 = 12124*x for x.
4
Solve -243*w - 2522 = 4827 + 16708 for w.
-99
Solve -481*k - 128216 = -2488*k - 355007 for k.
-113
Solve 1054*z + 23838 = 232*z for z.
-29
Solve 0 = -1605*g + 29078 + 31912 for g.
38
Solve -491782*x + 492160*x = 5670 for x.
15
Solve 36517 = 507*f + 8632 for f.
55
Solve -14*q = 53*q - 60*q + 217 for q.
-31
Solve 15*i - 167*i - 42*i = -1358 for i.
7
Solve 15010 + 2276 = 943*s - 411 - 3049 for s.
22
Solve 652*d = 1507*d + 663*d + 56166 for d.
-37
Solve -315*b + 196*b + 526 = -1393 - 580 for b.
21
Solve -423*z + 11018 + 8565 = -58*z + 1333 for z.
50
Solve 206716 = -5693*h + 1086*h + 17829 for h.
-41
Solve -6*i + 2*i = -46*i + 911 + 349 for i.
30
Solve 76*d = 859 + 5677 for d.
86
Solve -1814*w + 1289*w - 69734 = 3100*w + 256516 for w.
-90
Solve -1857*t + 14059 = -180926 for t.
105
Solve -23*k - 1326 = -25*k + 53*k for k.
-26
Solve 6114 = 29*u + 6839 for u.
-25
Solve 2931*r + 122739 = 56*r - 35386 for r.
-55
Solve 41822 = -83*w + 1542*w - 71980 for w.
78
Solve -7*l - 476*l = -20286 for l.
42
Solve 1523*a = -533021 + 443164 for a.
-59
Solve -300*z = 14185067 - 14192867 for z.
26
Solve 187*s + 3250 = 837*s for s.
5
Solve 25679620 = -12*r + 25680340 for r.
60
Solve -102870 = 4139*s + 2719*s for s.
-15
Solve 67089 + 93879 = -2255*r + 100113 - 101505 for r.
-72
Solve 695*o - 25216 = 5364 for o.
44
Solve -295461*o + 11280 = -295226*o for o.
48
Solve -342 + 167 = 70*u - 45*u for u.
-7
Solve -82*t - 382219 + 381235 = 0 for t.
-12
Solve 0 = 266*f - 317*f + 1224 for f.
24
Solve 332*r + 381*r + 5704 = 0 for r.
-8
Solve -10654 + 27218 = -404*v for v.
-41
Solve 71*z = -20*z - 4818 + 4363 for z.
-5
Solve -60*v + 172*v + 29*v + 18144 = -183*v for v.
-56
Solve 0 = -36*d - 229765 + 225877 for d.
-108
Solve 14896*h + 3046995 = -5649*h - 17636*h + 2334*h for h.
-85
Solve 1514*h + 54592 - 281317 = -1509*h for h.
75
Solve 22222*w - 22211*w + 440 = 0 for w.
-40
Solve 88*m + 30979 - 27283 = 0 for m.
-42
Solve 0 = 23593*w - 23706*w + 4181 for w.
37
Solve -98*y - 9010 = -12636 for y.
37
Solve -2224*b - 133917 = 509*b for b.
-49
Solve -262*y - 980*y + 10137 + 37085 = 11204 for y.
29
Solve 97*b + 10614 = 1113*b - 10237 + 531 for b.
20
Solve 316*q + 2957*q - 108009 = 0 for q.
33
Solve 661*i = -4614 + 15629 + 10798 for i.
33
Solve -7709*p = -523*p - 50438 - 35218 - 144296 for p.
32
Solve -2492*j + 974*j - 63756 = 0 for j.
-42
Solve 2620*z + 10881 + 18404 - 3985 = 90*z for z.
-10
Solve 189*z + 178*z = -19*z - 258*z - 10304 for z.
-16
Solve - | {
"pile_set_name": "DM Mathematics"
} |
actors of (j/5)/(2/(-15)).
3, 5
Let d(u) = 2*u - 3. Let f be d(4). Let m be (-5)/(-10) + 4/(-8). Suppose m = -2*j + f*j - 12. List the prime factors of j.
2
Let h(t) = 2*t - 1. Let l(f) = f**2 - f - 5. Let m be l(4). What are the prime factors of h(m)?
13
Suppose 2*g - 33 = -g. Suppose k = 2*t - 24, -5*k + 9 = -g. What are the prime factors of t?
2, 7
Suppose a - 8 - 8 = 0. List the prime factors of a.
2
Let b(u) = 2*u**2 - 6*u - 3. Let l be b(4). Let z = -4 - -7. Let g = l - z. What are the prime factors of g?
2
Let v(a) = a + 12. Let o be v(-5). Suppose -12 = -p + o. List the prime factors of p.
19
Let a(m) = 46*m**3 - 2*m**2 + 2*m - 1. What are the prime factors of a(1)?
3, 5
Suppose -14*b = -9*b - 1450. What are the prime factors of b?
2, 5, 29
Suppose 2*r + 294 = 2*s, 2*r - 576 = -4*s - 0*r. What are the prime factors of s?
5, 29
Let s be (0 - (3 - 5)) + 2. Suppose 0 = 5*o - 15, 4*m - 65 = -s*o + 11. What are the prime factors of m?
2
Let o = 263 + -91. List the prime factors of o.
2, 43
Let t(d) be the third derivative of d**5/60 - d**4/8 - 2*d**3/3 + 2*d**2. Let z be t(4). Let y = 8 + z. What are the prime factors of y?
2
Let b(v) = v + 11. List the prime factors of b(-5).
2, 3
Let h(s) = 8*s**2 + 0 - s + 4*s**2 + 2*s + 1. What are the prime factors of h(-2)?
47
Let o(v) = -9 - v**3 + 9*v**2 + 7*v + 2*v**3 + 2*v. What are the prime factors of o(-7)?
2, 13
Let l(b) = -1 + 6 - 5 - b. What are the prime factors of l(-3)?
3
Let q(i) = -i**2 + 7*i + 22. Let c be q(9). Let b(t) = 2*t**2 - 9*t + 13. Let g(p) = p**2 - 5*p + 7. Let z(j) = 4*b(j) - 7*g(j). List the prime factors of z(c).
3, 5
Let t be (-1)/(-4) - 2/8. Let c(g) = 4*g + t*g - g - 4. What are the prime factors of c(6)?
2, 7
Let r(a) be the first derivative of -1/2*a**2 - a - 2 + 2/3*a**3. What are the prime factors of r(-2)?
3
Let c(j) = -14*j**3 + 1. Let s be c(1). Let y = 55 - 37. Let o = s + y. List the prime factors of o.
5
Let t(f) = f - 5. Let y be t(5). Suppose -6*k + k + 5*m + 125 = y, 2*m + 70 = 3*k. What are the prime factors of k?
2, 5
Let m be 72/7 - (-6)/(-21). Let o = m - 7. Suppose g - o = l, -g + 2 = -3*l + 3. What are the prime factors of l?
2
Let c be 2 - (2 + -2) - -3. Suppose -c = -2*t + 9. Suppose 2*v - t*v + 50 = 0. What are the prime factors of v?
2, 5
Suppose 60 = -f - 3*f. Let l = 24 + f. What are the prime factors of l?
3
Let t = -12 + -5. Let l be (50/(-8))/((-3)/12). Let v = l + t. What are the prime factors of v?
2
Let q be ((2/1)/(-1))/(-2). Let u be 0 - (q - 0)*-14. Let b = 26 - u. List the prime factors of b.
2, 3
Let d(h) be the second derivative of 5*h**4/12 + h**3/6 + 3*h**2/2 - 9*h. List the prime factors of d(3).
3, 17
Let p be (2 - 10/(-8))*8. Suppose 5*k = -2*a - p + 85, k = 5*a + 28. List the prime factors of k.
13
Let p = -3 + 6. Let r be -1 - p/(-3)*1. Suppose 0 = -5*z - r*z + 55. What are the prime factors of z?
11
Suppose -4*z - 471 = -9*z - 3*i, -4*i = -8. List the prime factors of z.
3, 31
Let f(o) be the second derivative of o**4/12 + o**3/6 - o. List the prime factors of f(-4).
2, 3
Let g = 2 + 2. Suppose -b + g = -0*b. Suppose -6*f + b*f + 22 = 0. List the prime factors of f.
11
Suppose 3*t - 3*z - 498 = 717, t + 4*z - 405 = 0. List the prime factors of t.
3, 5
Suppose 2*a = 5*y - a - 39, -y = -3*a - 3. Let b = -1 + y. What are the prime factors of b?
2
Suppose -3*c - 4 - 11 = -3*p, -61 = 5*c + 4*p. Let k = -13 - -53. List the prime factors of k/18 - (-2)/c.
2
Suppose 2*p - 13 = -3*s, 0 = 4*s - 2*p + 4 + 2. Let r be s + -1 + (7 - 11). List the prime factors of (-29)/r + 21/28.
2
List the prime factors of 2 + 2/2 + 15.
2, 3
Let d = 31 + -20. Let r = 23 - d. Suppose r + 48 = 5*j. What are the prime factors of j?
2, 3
Let m = -6 + 6. Suppose -3*y = -m + 6. List the prime factors of (y - -4) + (9 - -1).
2, 3
Suppose 22*u - 3300 = 7*u. What are the prime factors of u?
2, 5, 11
Let c(s) = -65*s**3 + 2*s**2 + 2*s + 1. List the prime factors of c(-1).
2, 3, 11
What are the prime factors of (-16)/(-96) + (-694)/(-12)?
2, 29
Let m(k) = -3*k + 1. Let j(q) = 2*q. Let f(t) = 2*j(t) + 2*m(t). What are the prime factors of f(-3)?
2
Let y(l) = -l**3 + 0 + 3*l + 4*l**2 - 6*l + 0. Let s be y(2). Suppose 6 = g + s*g. List the prime factors of g.
2
Suppose q = -3*q + 12. Let o(g) = -g + 0*g**3 + g**q + 0*g + 19 + 0*g. List the prime factors of o(0).
19
What are the prime factors of (99 - (4 + -1)) + 1 + 1?
2, 7
Let x(u) = -5 + u**2 + 0 + 2. List the prime factors of x(-4).
13
Suppose -2*n - 10 + 3 = 3*y, 6 = -4*y - 2*n. Let i be (-1)/((1/(-3))/y). Suppose -i*o = -o - 28. What are the prime factors of o?
2, 7
Let n = -707 - -1042. List the prime factors of n.
5, 67
Suppose 0 = -7*a + 4*a + 609. What are the prime factors of a?
7, 29
Suppose -4*l + 6 - 2 = 0. Let v(h) = 24*h. What are the prime factors of v(l)?
2, 3
Let r = 7 - 15. Let o = -1 - -12. Let g = r + o. What are the prime factors of g?
3
Let i = -87 - -133. Suppose i = 4*v + 5*z - 7, -27 = -2*v - 3*z. What are the prime factors of v?
2, 3
Suppose -5*f + 2*d + 685 = 0, 0 = f - 2*f + 4*d + 155. What are the prime factors of f?
3, 5
Suppose -14*u - 320 = -19*u. List the prime factors of u.
2
Let f = -4 + 4. Let o be f/(-5) + -1 + 1. Suppose o = 2*x - 9 - 9. List the prime factors of x.
3
Let s be 9/1*4/6. List the prime factors of s/(-4)*(-24)/6.
2, 3
Let j be ((-1)/2*0)/2. Let d = -38 + 33. Let l = j - d. List the prime factors of l.
5
Suppose 6*t - 4*t - 8 = 0. Suppose -4*u + 56 = 4*p + 8, -u = -t*p + 33. What are the prime factors of p?
3
Let z(q) = 11*q - 2. Let a(h) = -7*h + 1. Let g(t) = -8*a(t) - 5*z(t). Let b(j) = -j**2 + 9*j + 2. Let p be b(8). What are the prime factors of g(p)?
2, 3
Suppose -4*t + 2 = -82. List the prime factors of (36/t - 0)*7.
2, 3
Suppose -25 = -4*j - 3*r, 3*j = -4*r - 1 + 11. What are the prime factors of j?
2, 5
What are the prime factors of 34/(-4)*(-12 + 10)?
17
Suppose 5*s - 13*s + 176 = 0. List the prime factors of s.
2, 11
Let m be (-2 - -1)*2 + 9. Let y = m + 0. List the prime factors of y.
7
Let h = -60 - -104. Let k = 3 + 0. Suppose 0 = 5*f - k*l - h, 4*f + f + 5*l = 20. List the prime factors of f.
7
Let g(f) = f**3 - 5*f**2 + f - 4. Let k be g(5). What are the prime factors of ((-24)/(-20))/(k/5)?
2, 3
Suppose -3*s - 1 = -79. What are the prime factors of s?
2, 13
Let p = 11 - 0. Suppose -5*h = -h. Suppose d + h*d = p. What are the prime factors of d?
11
Let c be 4/(-14) + (-80)/(-35). Suppose 4*i - 2*i = -c. List the prime factors of (-1)/((2/8)/i).
2
Let k(a) = -a**3 + 6*a**2 + a - 2. Let b be k(6). Suppose 54 = 3*p - b*g, 2*p - 2*g - 20 = 18. List the prime factors of p.
2, 11
Let g(q) = 70*q + 2. Let b be g(1). Suppose 5*x - 2*x = b. List the prime factors of x.
2, 3
Let s = 24 - 11. Let q = s - 5. What are the prime factors of q?
2
Let b be 1 - (12/3)/(-2). Suppose b*w = -w + 48. Suppose 4*p - w = -2*g, -3*p + 7 = 1. List the prime factors of g.
2
Let x = -29 + 14. Let b = x + 25. What are the prime factors of b?
2, 5
Suppose b = 6*b - 50. Suppose -b = 3*k - 4. Let a = 7 + k. What are the prime factors of a?
5
Suppose -4 = -s - 0. List the prime factors of s.
2
Let t(d) = 14*d**3 - 1. List the prime factors of t(1).
13
Suppose -2*v - 3*v + 4*k + 55 = 0, -2*k = 10. Let i = v - 5. What are the prime factors of i?
2
Let f(n) be the first derivative of -n**4/4 + 5*n**3/3 + n**2 - 7*n - 2. What are the prime factors of f(5)?
3
Let c be (-18)/(-4)*-2 + 0. Let v = 17 + c. List the prime factors of v.
2
Let j(d) be the first derivative of d**4/12 - d**3/2 - d**2/2 - 1. Let c(k) be the second derivative of j(k). List the prime factors of c(4).
5
Let p be 4/(-18) - (-148)/18. Suppose -3*s + 4*s + a + p = 0, 5*s = -3*a - 38. What are the prime factors of 4/(-14) + (-30)/s?
2
Suppose -5*w + 10*w = 3*d + 624, 4*w + 3*d = 510. List the prime factors of w.
2, 3, 7
Let z(s) be the second derivative of s**5/20 + 5*s**4/12 - s**3/3 - 5*s**2/2 + s. Let v be 3/54*-3 + 58/(-12). List the prime factors of z(v).
5
Suppose 5*d - 25 = -4*l, 4*l + d - 5 = 2*l. Suppose l = -m - 4*m + 120. What are the prime factors of m?
2, 3
Let r = 17 + -9. Let n(s) = s**3 + r*s**2 - 3 + s**2 + 12 + 7*s. What are the prime factors of n(-8)?
17
Let r(w) = -6*w + 2*w + 3*w. Suppose -3*z - | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of o(i). Let r be g(0). Are -2/229 and r unequal?
True
Let o(g) = g**2 - 39*g + 83. Let k be o(20). Are -291 and k unequal?
True
Let t be 6*3/(-21)*(-35)/10. Suppose -i = -3*f + 105, -5*f + t*i + 179 = -0*f. Suppose 0 = j - 2*l - f - 3, -2*j = -5*l - 77. Which is smaller: 32 or j?
j
Let m = -127/9 + 943/63. Is m at least -144?
True
Let x = -18/707 + 6299/53025. Suppose -m = 4*t + 128 - 132, 5*m = -3*t + 20. Which is smaller: t or x?
t
Let g be (-48)/(-1) + 3/((-6)/(-16)). Is g less than 65?
True
Let r(w) = -3*w**2 + 18*w + 5. Let h be r(6). Suppose -4*j - 181 = -5*m, -h*j - 3*m - 77 - 103 = 0. Let t be (-130)/40*(-1 + 13). Is t less than j?
False
Let l(w) = -w**2 + 8*w + 1. Let y be l(9). Let j = 10626 - 13069981/1230. Let m = j - 2017/246. Which is smaller: y or m?
m
Let v(o) = -o**3 - 17*o**2 - 30*o + 7. Let x be v(-15). Suppose -j - b - 2 = -x, 5 = -3*j + b. Which is smaller: j or -2/855?
-2/855
Let t be 3/12 - (-9)/12. Let f be (-2 - t) + 0 + 39. Let x = f + -39. Is x less than -3?
False
Let d(g) = 2*g**2 - 39*g - 668. Let r be d(45). Which is smaller: 1629 or r?
r
Suppose 26199 = -30*i + 9309. Let j = -567 - i. Is 11 smaller than j?
False
Let a be (-3711)/1239 + (-3)/(-1). Let c be (-39)/78 - 15/(-20)*(-2)/3. Is a <= c?
False
Let b = -26610 - -26610. Is -3/22295 <= b?
True
Let z = 2289 + -2327. Suppose 3*r + 4*h = 3*h - 119, 0 = -r - 2*h - 48. Is r > z?
False
Let m = 2282 - 3336. Let s = -3065/3 - m. Is 32 equal to s?
False
Suppose 580*m - 576*m + 14398 = -5*j, -3*j + 5*m = 8587. Is j at most as big as -2871?
True
Let t be (71/(9585/30))/((-10)/18). Which is greater: t or -69/20?
t
Suppose -4*t + 3*d + 16 = 0, 4*d + 10 + 2 = -4*t. Let g be (t - -12)/(4*(-3)/(-12)). Suppose -g*z - 852 = -7*z. Do -142 and z have different values?
False
Suppose 0 = -4*r - 2*b + 102, -r - 19 = 2*b - 49. Let j be ((-12)/(-16))/(3/r - 0). Which is smaller: 23/4 or j?
23/4
Let y = 0.159 + 220.841. Let j = -224.3 + y. Which is greater: -3 or j?
-3
Let g = -3239/6 + 508505/942. Let k = -6 - -6. Which is bigger: k or g?
k
Let o = 418 + -393.4. Let z = 24.8 - -5.2. Let m = o - z. Which is smaller: -1 or m?
m
Let a = 3.24 + -3.44. Let d = -11.2 - -15. Let b = d - a. Which is smaller: 5 or b?
b
Let q be 76/266 + (-5273)/18382. Which is smaller: q or 0?
q
Let s be (-85174)/111 - (-2)/(-3). Let t be 7/(-1) - 5368/s. Suppose -4*i = -3 - 1. Do t and i have the same value?
False
Suppose -683*s + 2*j = -687*s - 24, 0 = -4*s - 4*j - 36. Which is greater: s or -255/104?
-255/104
Let d be (-1 - -5) + (2 - 1). Suppose 0 - 70 = -3*z + b, 2*z - d*b = 38. Suppose 2*h = -3*i + 2 - 0, -2*i = -5*h + z. Is -3/2 > i?
True
Let v be -15 - (16 + -1)/(-3). Let x be ((-20)/425)/(2/v). Let w = 26 + -27. Is w greater than or equal to x?
False
Let x be (15/20)/((-1)/(-4)). Let o = 18 + -6. Let a be (-6)/o - 59/(-22). Is x > a?
True
Let v(l) = -347*l - 3122. Let x be v(-9). Which is greater: x or -33/454?
x
Let a(o) = -9*o + 450. Let z be a(50). Which is smaller: z or -1/16907?
-1/16907
Suppose -7*o + 4*o = -4*b - 656, 1116 = 5*o - b. Let n be (-10)/2 - 16/(o/833). Which is greater: 1 or n?
1
Suppose -2*g - 6 - 4 = 0. Let z(s) = 2*s**3 - s**2 + s + 4. Let o be z(-2). Let j = o + 18. Which is smaller: g or j?
g
Suppose 472 = -4*i + 13*l - 11*l, -484 = 4*i + l. Is -81 bigger than i?
True
Let u = -21.4 + 152.4. Let x = -128 + u. Is x less than -42?
False
Let v = -2814943/323 - -8715. Suppose -111*u - 2*k = -114*u + 17, k + 5 = -2*u. Which is smaller: u or v?
v
Suppose -7*h + 4944 - 1136 = 0. Suppose -h = -32*w - 0*w. Is w < 10?
False
Let l = -1449 + 1758.2. Let r = l - 309. Let m = -129/35 - -17/5. Is m greater than r?
False
Let k be 2*12/(-40) - (-4604)/(-110). Is -42 >= k?
True
Suppose 11*x = 12*x - 31. Let q = -44 + x. Let r = 12 - 23. Which is bigger: q or r?
r
Let h(b) = -b**2 - 14*b - 44. Let z be h(-9). Suppose 2*u = u + z. Is u not equal to 2.3?
True
Let s(y) = -196*y**2 + 304*y - 922. Let t be s(3). Is t bigger than -1773?
False
Let h = -85 + 83. Let f(z) = 3*z**2 - 23*z - 6. Let c be f(12). Let i be c/(-36) - 9/(-3). Which is smaller: i or h?
h
Suppose 4*j - 3*z - 170 = -208, -28 = 4*j - 2*z. Let u be ((-4)/(-1))/(1/(-12)). Is j less than or equal to u?
False
Let a = -2348 + 2399. Let q be 65/(-20) + -2 + 5. Which is smaller: q or a?
q
Let t(w) be the third derivative of -w**5/60 + w**4/2 - 7*w**3/2 + 52*w**2. Let u be t(2). Is u < -6/25?
True
Let m be 4/(-18) - -8*(-2645)/(-45). Which is greater: 477 or m?
477
Suppose -3*r = 3*t - 6, -5*t + 2 = -3*r + 8. Let z be 2 - (34998/7000 - r - 1). Let i = -30623/7000 - z. Which is greater: -4 or i?
-4
Suppose 225*m - 221*m + 3*v + 517 = 0, 379 = -3*m - 4*v. Are -124 and m equal?
False
Let q = 252 - 251. Let k be 456/(-936) - (-2 + q). Do 0 and k have the same value?
False
Let c(r) = r**2 + 26 - 20*r + 5 + 33 - 9. Let w be c(10). Is -43 > w?
True
Suppose 0*n = -4*n - 52. Let r(w) be the third derivative of -w**4/12 - 16*w**3/3 - 5*w**2 - 11*w. Let i be r(n). Which is greater: i or -4?
-4
Let d = 0.0051 - -0.0189. Which is bigger: d or -1/8?
d
Suppose k = 6*k - 2*b - 16477, -3*k + 9883 = 2*b. Let w = k - 382225/116. Which is smaller: 0.1 or w?
w
Suppose -g + 5 = m, -27*m + 25*m + 3*g = 5. Which is greater: 95/61 or m?
m
Let k = -0.1872 - -0.1432. Which is smaller: -41 or k?
-41
Let q = 10.95 + -10.95. Let i = 195 + -93. Is q greater than or equal to i?
False
Suppose -2*p + c + 765 = 134, p + 5*c = 343. Suppose 449*g - 287040 = -248*g - 200*g. Are p and g nonequal?
True
Suppose -44*s + 5341 = -9*s + 14*s. Is s at most 112?
True
Let d be (-1)/4 - 27/24*-66. Let x = 89 - d. Let y = x + -49. Which is greater: y or -31?
-31
Let c = 293521/214389519 - 16/12193. Which is bigger: 1 or c?
1
Suppose 17 = x - 3*u, -2*x - u + 2*u + 9 = 0. Let y = -587 + 593. Suppose -3*o = x*r - 4*o + 1, 5*o = -r - y. Is r equal to -2/17?
False
Let v = 79 + -75. Let y = -131 + 129. Is y at most as big as v?
True
Let z = -50 + 88. Let q(c) = -11*c + 3*c - 19*c - 158 - 3*c - 2*c. Let k be q(-5). Which is bigger: k or z?
z
Let l(t) = 10*t - 6. Let u be l(3). Let a = u + -33. Let y be (0 - (-1)/(-2))*(-2)/a. Which is smaller: y or 0?
y
Let t be (-23 - (-1342)/66)*102*1. Which is bigger: -268 or t?
-268
Let k = -5064 - -5064. Is 2/19827 at most k?
False
Let u be ((-1)/4)/(-27 + (-12610)/(-416)). Suppose -2*q - 3*o = 14, 3*q + 2*q - 4*o = 11. Is u not equal to q?
True
Suppose 5149 = -7*f + v, -4*f + 4*v - 7*v - 2928 = 0. Which is smaller: -728 or f?
f
Suppose k = -4*y + 16, -7*k - 12 = -2*k - 3*y. Suppose k = 19*a - 26*a + 609. Is 0 less than or equal to a?
True
Let t = 6704/3 + -2252. Which is greater: -1/9 or t?
-1/9
Suppose -3*j = 4*i + 26690, 5*i + 12956 + 20423 = -j. Which is smaller: -6676 or i?
i
Let y = 65.94 - -0.06. Let i = 27 - y. Is i equal to 1/2?
False
Let z(j) = -37*j - 333. Let w be z(-9). Which is smaller: w or -1/11066?
-1/11066
Let o be 10/25 - (-193)/5. Let v be o*((-4)/(-6) - 1). Let n = -11 - v. Is 0 bigger than n?
False
Let r = 24284 + -25558. Is r less than or equal to -1279?
False
Let i = -142/11 - -26. Let v be (-98)/(-28)*(1 - (-327)/21). Suppose 5*j - v = -4*t, 4*t = -t - 15. Are j and i equal?
False
Let m(a) = 6*a**2 + 513*a + 244. Let v be m(-85). Suppose -2*q + 7 + 7 = 0. Let z = -5 - q. Which is smaller: v or z?
z
Suppose -4*f + 3*y = -0*f + 20, 2 = 5*f + 3*y. Let l be 84/16 + f - (-6)/8. Which is smaller: l or 12?
l
Let c be (-41545)/20 + (34/(-72) - (-40)/180). Which is greater: -2078 or c?
c
Suppose 52*a - 284 = -19*a. Let x(j) = -j**3 - 4*j**2 + 6*j + 3. Let k be x(-5). Let v be k/a*4/46. Which is smaller: 0 or v?
v
Suppose 0*d - 109*d = 0. Is d smaller than -49/81?
False
Suppose 0 = k - 16 + 14. Suppose o - 45 = -3*w, 3*o - 149 = -k*w + 7*w. Let q = o - 38. Is q >= 14?
False
Let t = 1339 + -1479. Let g be (-1)/2*-6*-47. Which is smaller: t or g?
g
Let k = 4681.06 + -4681. Which is greater: k or -273?
k
Suppose 14 = 2*u + 4*r, 2*u + 22 = 5*r + 9. Is u at least as big as 14/33?
True
Let s = -105704/129 - 23/258. Do -819 and s have the same value?
False
Let y be (-1)/(2/((-4 - -2) + 0)). Suppose -9 = -2*n + y. Suppose -6*g = n*g - 121. Which is greater: 12 or g?
12
Let v = 41090/9 - 15226/3. Let z = 510 + v. Which is bigger: 0.0 | {
"pile_set_name": "DM Mathematics"
} |
- 1/24*x**6 + 0 + 0*x**3. Factor a(p).
p*(p - 2)**2*(p - 1)
Let h(d) be the first derivative of 0*d - 5/16*d**2 - 156 + 1/6*d**3 + 1/32*d**4. Factor h(a).
a*(a - 1)*(a + 5)/8
Let f(o) be the second derivative of -o**5/80 + 65*o**4/16 - 63*o**3 + 374*o**2 + 2*o + 11155. Factor f(m).
-(m - 187)*(m - 4)**2/4
Let x(m) be the third derivative of m**8/16 - 17*m**7/350 - 61*m**6/200 + m**5/4 + 13*m**4/20 - 4*m**3/5 + 733*m**2 - 2. Solve x(j) = 0 for j.
-1, -4/5, 2/7, 1
Let u be (-34)/374 + 910/572. Factor -1/2*b**3 - 3/2*b**2 + u + 1/2*b.
-(b - 1)*(b + 1)*(b + 3)/2
Let r be (2*((-1183)/112 + 10))/((-5)/10). Let m be 1*((3 - 1) + -2). Factor -3/4*d**2 + m - r*d.
-3*d*(d + 3)/4
Let x(p) be the second derivative of -p**6/45 + p**5/15 + 55*p**4/18 + 88*p**3/9 - 48*p**2 - 4426*p. Suppose x(c) = 0. Calculate c.
-4, 1, 9
Let y(j) be the first derivative of -2*j**3/33 - 270*j**2/11 - 36450*j/11 - 2698. Suppose y(s) = 0. What is s?
-135
Suppose -15/4*s**4 + 81/4*s**2 - 9/2*s**5 + 3/2 + 39/4*s + 51/4*s**3 = 0. Calculate s.
-1, -1/2, -1/3, 2
Let z(l) = l**2 + 4*l - 5. Let r be (-5)/(-2)*(4 - (3 + 3)). Let y be z(r). Let -t**2 - 5*t + 2*t + y*t + 2*t = 0. Calculate t.
-1, 0
Let y(z) be the second derivative of z**9/30240 - 11*z**8/53760 + z**7/3360 + 131*z**4/12 + 96*z + 2. Let m(u) be the third derivative of y(u). Factor m(g).
g**2*(g - 2)*(4*g - 3)/8
Let y be (36/(-15) - -3) + (-132)/(-55). Suppose -4*r = 0, -m - r + y = -0*m. Factor -2/5*j + 4/5*j**m + 7/5*j**2 + 0.
j*(j + 2)*(4*j - 1)/5
Suppose 120*m - 63 = 99*m. Suppose 4*a - 62 = 2*q - 50, -m*a = -3*q - 6. Solve -2/7*r + 4/7 - 4/7*r**q + 2/7*r**3 = 0 for r.
-1, 1, 2
Let h be 3 - 3*(-10)/10. Let s(f) be the third derivative of -1/120*f**h + 0*f + 21*f**2 + 0 - 1/30*f**5 + 0*f**3 + 0*f**4. Factor s(g).
-g**2*(g + 2)
Suppose 288*v = -120*v - 295*v. Suppose 2/13*w**5 + 70/13*w**3 + 0*w + 22/13*w**4 + v + 50/13*w**2 = 0. What is w?
-5, -1, 0
Suppose 18*r = -2*r + 620. Let b be 74/8 - (r - 25). Find k such that 3/4*k**2 + b*k - 5/2 = 0.
-5, 2/3
Let s(z) be the first derivative of z**6/3 - 12*z**5/5 - 3*z**4/2 + 40*z**3/3 - 12*z**2 - 4874. Factor s(b).
2*b*(b - 6)*(b - 1)**2*(b + 2)
Let t(n) be the second derivative of -n**7/273 - 2*n**6/195 + n**5/130 + n**4/39 + 125*n. Suppose t(g) = 0. Calculate g.
-2, -1, 0, 1
Let k(i) be the first derivative of i**7/560 - i**6/120 + i**5/80 + 2*i**3 + 3*i**2/2 + 53. Let n(m) be the third derivative of k(m). Solve n(a) = 0.
0, 1
Let f(i) = 23*i**2 + 10*i - 207. Let m(g) = 155*g**2 + 70*g - 1460. Let t(q) = -20*f(q) + 3*m(q). Factor t(c).
5*(c - 6)*(c + 8)
Let o(k) be the second derivative of k**6/360 - k**5/40 + k**4/12 + 2*k**3/3 - k**2 + 68*k. Let y(n) be the second derivative of o(n). Factor y(r).
(r - 2)*(r - 1)
Let w(z) be the first derivative of 1/6*z**3 + 305 + 13*z - 15/4*z**2. Factor w(t).
(t - 13)*(t - 2)/2
Factor 6716/17*o**3 - 6050/17 - 18812/17*o**2 + 18370/17*o - 226/17*o**4 + 2/17*o**5.
2*(o - 55)**2*(o - 1)**3/17
Solve -10033*b**4 - 72 + 72 - 604*b**3 + 9929*b**4 + 4*b**5 - 496*b**2 = 0.
-4, -1, 0, 31
Let v be -16 - (-46 - 6696/(-234)). Factor v*j - 2/13*j**3 + 10/13 + 6/13*j**2.
-2*(j - 5)*(j + 1)**2/13
Let d(s) be the first derivative of -9/8*s**4 - 38 + 0*s**5 + 0*s + 0*s**2 + 1/120*s**6 - s**3. Let n(o) be the third derivative of d(o). Factor n(m).
3*(m - 3)*(m + 3)
Let p(q) = 16*q**2 + 929*q - 4490. Let g(f) = 4*f**2 + 232*f - 1112. Let y(s) = 15*g(s) - 4*p(s). Factor y(m).
-4*(m - 5)*(m + 64)
Let j(p) = 105*p**4 - 9216*p**3 + 18414*p**2 - 9204*p + 33. Let x(z) = 16*z**4 - 1418*z**3 + 2833*z**2 - 1416*z + 5. Let u(i) = 5*j(i) - 33*x(i). Factor u(k).
-3*k*(k - 236)*(k - 1)**2
Factor -30*l**2 - 44*l - 133 + 5 - 245*l - 119*l - 142*l**2.
-4*(l + 2)*(43*l + 16)
Let v = -1/83241 - -110989/83241. Factor -v*s**3 + 8/3 + 2/3*s**4 - 2*s**2 + 8/3*s.
2*(s - 2)**2*(s + 1)**2/3
Let t(r) be the third derivative of -r**8/84 + 38*r**7/105 + 2*r**6/3 - 72*r**2. Suppose t(b) = 0. Calculate b.
-1, 0, 20
Let i = -36 + 35. Let z be (-8 + i)*((-32)/(-12))/(-8). Factor 1/3*l**z + 0 - 1/6*l**2 - 1/6*l**4 + 0*l.
-l**2*(l - 1)**2/6
Let n(p) = -5*p**4 - 33*p**3 + 90*p**2 + 2*p + 2. Let s(g) = -5*g**4 - 32*g**3 + 90*g**2 + 3*g + 3. Let o(c) = 3*n(c) - 2*s(c). Factor o(r).
-5*r**2*(r - 2)*(r + 9)
Solve 13*b**5 + 198*b**2 - 24*b**5 - 88*b**4 - 208*b**2 + 15*b**5 + 404*b**3 - 310*b**2 = 0.
0, 1, 5, 16
Let i be (-24)/48 + 503/30 + 1. Let b = -3307/195 + i. Solve -6/13*q + b + 2/13*q**2 = 0.
1, 2
Let d(p) be the third derivative of 0*p**4 + 0*p - 2/105*p**7 - 2/15*p**5 + 1/168*p**8 + 10 + 0*p**3 - 7/60*p**6 - 4*p**2. Let d(g) = 0. Calculate g.
-1, 0, 4
Suppose 7*p - 11*p + 84 = 0. Let r be (-2)/3 + 22757/p. Suppose 11 - 2 - 155*n + r*n**2 - 73*n + 3 = 0. Calculate n.
2/19
Let m(h) = h**3 - 4*h**2 + 2. Let i = 460 + -456. Let s be m(i). Factor 4/5*k - 6/5 + 2/5*k**s.
2*(k - 1)*(k + 3)/5
Let n(w) = -629*w + 3145. Let m be n(5). Let y(t) be the third derivative of m*t - 1/240*t**5 + 0 + 0*t**3 + 2*t**2 + 1/48*t**4. Factor y(c).
-c*(c - 2)/4
Let y = 480777 + -3365435/7. Let y - 2/7*x**2 + 2/7*x = 0. What is x?
-1, 2
Let w(z) = -2507*z + 52647. Let x be w(21). Factor 0 + 12*g**3 + x*g - 3/2*g**5 - 3/2*g**4 + 18*g**2.
-3*g**2*(g - 3)*(g + 2)**2/2
Factor -1224/5 - 2/5*f**2 - 1226/5*f.
-2*(f + 1)*(f + 612)/5
Suppose p = -3*p - v + 73, p - 4*v - 14 = 0. Suppose 2 + p = 5*d. Find b, given that -2*b + 139*b**3 - 287*b**3 + d*b**2 - 4*b**4 + 2*b**5 + 148*b**3 = 0.
-1, 0, 1
Factor -1008*y**2 - 283*y**3 + 17*y - 2706*y + 203*y**3 - 353*y - y**4 - 669*y**2.
-y*(y + 2)*(y + 39)**2
Suppose -s = 5*p - 321, 0 = -p + 5*p - 5*s - 251. Let y be (p - 64) + 2/11. Find c, given that -6/11*c**2 - 2/11*c**3 + y*c**4 + 4/11 + 2/11*c = 0.
-1, 1, 2
Let p(s) be the first derivative of -s**5 - 15*s**4/2 + 205*s**3/3 + 15*s**2 - 200*s + 1961. Suppose p(y) = 0. Calculate y.
-10, -1, 1, 4
Let a be 4063/478*12/68. Factor 1/2*t**3 - a*t + t**2 + 0.
t*(t - 1)*(t + 3)/2
Let u be (-204)/952*(-175)/15. Factor u*v**2 + 1/6*v**3 + 8*v - 32/3.
(v - 1)*(v + 8)**2/6
Solve -534/7*i - 2/7*i**3 - 14*i**2 - 774/7 = 0 for i.
-43, -3
Determine p so that 11471*p**2 + 10626*p**2 + 16*p - 22803*p**2 = 0.
0, 8/353
Let t(f) = f**3 + 7*f**2 - 1. Let q(v) = 5*v**3 - 190*v**2 + 120*v - 7. Let b(p) = 5*q(p) - 35*t(p). Factor b(u).
-5*u*(u + 120)*(2*u - 1)
Let u(y) be the second derivative of -y**5/5 + 23*y**4/4 - 257*y**3/6 + 30*y**2 + 2*y - 569. Factor u(p).
-(p - 12)*(p - 5)*(4*p - 1)
Let -93/7*z**2 + 183/7*z - 90/7 - 3/7*z**3 + 3/7*z**4 = 0. Calculate z.
-6, 1, 5
Let a(b) be the second derivative of -293*b**4/12 - 97*b**3/2 + b**2 - 12*b + 1. Find h such that a(h) = 0.
-1, 2/293
Let w = -64523 - -322651/5. Factor 0 + 3/5*z**2 + w*z.
3*z*(z + 12)/5
Let h be (-4)/1*(4/5 + (-155)/100). Factor 24/13*a**h + 0 + 20/13*a**2 + 2/13*a**5 + 6/13*a + 12/13*a**4.
2*a*(a + 1)**3*(a + 3)/13
Suppose -5*l + 17 - 7 = -4*r, -2*l + r = -4. Factor 56*u**2 - 105*u**l + 53*u**2 - 4*u**3.
-4*u**2*(u - 1)
Let s(z) be the second derivative of 1/480*z**6 + 0*z**2 + 1/20*z**5 + 1/2*z**4 - 12*z + 11/3*z**3 + 0. Let h(m) be the second derivative of s(m). Factor h(n).
3*(n + 4)**2/4
Suppose -5*z + 3*z + 26 = 4*x, 0 = 3*z - 5*x + 16. Factor 126*j**2 + 256 - 186*j**2 + 192*j + 9*j**z - 5*j**3.
4*(j - 8)**2*(j + 1)
Let b = 6202 + -6200. Let h(c) be the first derivative of 2/13*c - 8 + 2/13*c**b + 2/39*c**3. Find n, given that h(n) = 0.
-1
Suppose 3*p - 76*q + 79*q - 213 = 0, -142 = -2*p + 4*q. Suppose -3*r - p + 77 = 0. Factor -5*v**r + 0*v - 5/2*v**3 + 0.
-5*v**2*(v + 2)/2
Let i be (19/(-2660)*-50)/(5*(-4)/(-140)). Let i*c**4 - 80*c + 105/2 + 5*c**2 + 20*c**3 = 0. What is c?
-7, -3, 1
Let q be 2*135195/(-63) + (-2)/21. Let o = -81520/19 - q. Determine y so that 2/19*y**3 + 98/19*y - o*y**2 + 0 = 0.
0, 7
Let f(t) = -172*t**2 - 52972*t + 1232. Let x be f(-308). Determine i, given that x - 9/10*i**4 + 0*i**2 + 1/5*i**3 + 0*i = 0.
0, 2/9
Let o(l) be the third derivative of -l**5/60 + 171*l**4/4 - 1025*l**3/6 - 3*l**2 + 1392. Factor o(f).
-(f - 1025)*(f - 1)
Let k(x) be the second derivative of -x**5/16 - x**4/12 + 9*x**3/8 - 9*x**2/4 + 632*x. Factor k(m).
-(m - 1)*(m + 3)*(5*m - 6)/4
Let l(u) be the second derivative of -u**6/285 - 23*u**5/95 + 50*u**4/19 - 616*u**3/57 + 416 | {
"pile_set_name": "DM Mathematics"
} |
rime?
True
Is 85679 composite?
True
Is 56159 a composite number?
True
Is 43097 a composite number?
True
Is 37117 prime?
True
Is 191779 composite?
True
Is 11249 a prime number?
False
Is 2287 a composite number?
False
Is 443035 a composite number?
True
Is 125143 composite?
True
Is 3841197 prime?
False
Is 993367 a prime number?
True
Is 56755 prime?
False
Is 1313797 composite?
False
Is 152759 a composite number?
True
Is 395099 composite?
True
Is 7971 a prime number?
False
Is 19835 prime?
False
Is 394177 a composite number?
True
Is 84243 composite?
True
Is 76249 composite?
False
Is 31133 composite?
True
Is 16547 a composite number?
False
Is 131101 prime?
True
Is 980827 composite?
False
Is 159563 prime?
True
Is 1246181 prime?
True
Is 1780001 prime?
True
Is 1656187 a prime number?
False
Is 55511 composite?
False
Is 29077 a prime number?
True
Is 5623 composite?
False
Is 14219 a composite number?
True
Is 96961 a prime number?
False
Is 66499 a prime number?
True
Is 35795 a composite number?
True
Is 205619 prime?
True
Is 1539011 a prime number?
True
Is 16057 composite?
False
Is 1133629 prime?
False
Is 102251 a prime number?
True
Is 996979 composite?
False
Is 34667 prime?
True
Is 27533 a composite number?
True
Is 12667 a composite number?
True
Is 48562 a prime number?
False
Is 25031 composite?
False
Is 272093 a composite number?
False
Is 31469 a composite number?
False
Is 78703 a prime number?
False
Is 12323 prime?
True
Is 25609 a composite number?
False
Is 44053 composite?
False
Is 78017 prime?
True
Is 2819 composite?
False
Is 178073 a composite number?
True
Is 40771 prime?
True
Is 9197 a prime number?
False
Is 561263 a composite number?
True
Is 212469 a prime number?
False
Is 27718 prime?
False
Is 60519 composite?
True
Is 2614863 composite?
True
Is 7621 a composite number?
False
Is 29411 prime?
True
Is 6613 prime?
False
Is 13841 a composite number?
False
Is 3453 a prime number?
False
Is 12841 a prime number?
True
Is 292571 a prime number?
False
Is 16811 prime?
True
Is 130957 a composite number?
False
Is 3664799 composite?
False
Is 627709 a prime number?
True
Is 21781 prime?
False
Is 23915 a prime number?
False
Is 17291 composite?
False
Is 64793 prime?
True
Is 262853 a prime number?
True
Is 50989 a prime number?
True
Is 14237 a composite number?
True
Is 1328861 prime?
True
Is 66739 prime?
True
Is 29083 composite?
True
Is 10211 a prime number?
True
Is 158227 a prime number?
True
Is 818215 prime?
False
Is 75079 a composite number?
False
Is 6085 a prime number?
False
Is 332393 prime?
True
Is 3874315 composite?
True
Is 11887 prime?
True
Is 25079 a composite number?
True
Is 402689 a composite number?
True
Is 1389961 a composite number?
False
Is 4031 a composite number?
True
Is 22639 composite?
False
Is 62113 a composite number?
True
Is 71693 prime?
True
Is 1757 a prime number?
False
Is 45161 prime?
True
Is 13105 composite?
True
Is 7901 a prime number?
True
Is 309017 composite?
True
Is 40253 prime?
True
Is 3389 a prime number?
True
Is 1259 a composite number?
False
Is 1031542 a composite number?
True
Is 9731 prime?
False
Is 30026 prime?
False
Is 165587 a composite number?
False
Is 330899 prime?
True
Is 937 a composite number?
False
Is 20959 composite?
False
Is 19661 a prime number?
True
Is 87613 composite?
False
Is 453751 composite?
True
Is 141881 a prime number?
False
Is 46597 composite?
True
Is 25841 a composite number?
False
Is 77137 composite?
False
Is 2941385 a prime number?
False
Is 117911 prime?
True
Is 143 composite?
True
Is 132817 composite?
False
Is 171295 prime?
False
Is 208859 prime?
False
Is 1931 composite?
False
Is 815 a composite number?
True
Is 42593 prime?
False
Is 2643479 a composite number?
False
Is 1366771 a prime number?
False
Is 156109 a prime number?
True
Is 555403 composite?
True
Is 53549 a prime number?
True
Is 12391 a composite number?
False
Is 29459 a prime number?
False
Is 2266939 composite?
True
Is 187 a prime number?
False
Is 2384461 a composite number?
False
Is 20131 a composite number?
True
Is 8263 a composite number?
False
Is 49891 a composite number?
False
Is 3433 a composite number?
False
Is 359089 a prime number?
False
Is 451 prime?
False
Is 188607 composite?
True
Is 59057 prime?
False
Is 41153 a prime number?
False
Is 2999221 a prime number?
False
Is 260771 prime?
False
Is 3737 a prime number?
False
Is 61613 a composite number?
False
Is 30971 composite?
False
Is 1201 a prime number?
True
Is 244097 a composite number?
True
Is 309487 a composite number?
True
Is 38899 a composite number?
True
Is 142183 prime?
True
Is 24793 composite?
False
Is 207811 a composite number?
False
Is 17657 a composite number?
False
Is 25663 a prime number?
False
Is 119041 a prime number?
False
Is 1581649 composite?
False
Is 580141 prime?
False
Is 6089 prime?
True
Is 84649 a composite number?
False
Is 2650817 a composite number?
True
Is 14177 a prime number?
True
Is 42323 a prime number?
True
Is 154723 composite?
False
Is 7901 composite?
False
Is 23097 composite?
True
Is 23918 a prime number?
False
Is 1061 a composite number?
False
Is 1937 prime?
False
Is 314485 prime?
False
Is 7709 composite?
True
Is 80111 a prime number?
True
Is 996599 a prime number?
True
Is 234218 a prime number?
False
Is 136499 a prime number?
False
Is 21647 a composite number?
False
Is 2952481 prime?
False
Is 9 prime?
False
Is 3287 prime?
False
Is 7919 a composite number?
False
Is 21661 a prime number?
True
Is 84691 prime?
True
Is 67909 a composite number?
True
Is 15187 a prime number?
True
Is 325073 a composite number?
True
Is 30869 a composite number?
False
Is 156801 a composite number?
True
Is 33431 prime?
False
Is 1361 composite?
False
Is 395 prime?
False
Is 2537 a composite number?
True
Is 5131 a composite number?
True
Is 30223 composite?
False
Is 32831 a composite number?
False
Is 8419 composite?
False
Is 47077 composite?
True
Is 517 a composite number?
True
Is 36433 a prime number?
True
Is 11209 a composite number?
True
Is 589141 prime?
False
Is 32479 a composite number?
False
Is 9937 a prime number?
False
Is 202577 a prime number?
True
Is 165437 prime?
True
Is 203386 a composite number?
True
Is 934223 a composite number?
False
Is 4109169 a composite number?
True
Is 1747 a composite number?
False
Is 13261 composite?
True
Is 52489 prime?
True
Is 8603 composite?
True
Is 3017 a prime number?
False
Is 111955 a composite number?
True
Is 9103 a prime number?
True
Is 722009 a prime number?
False
Is 355 prime?
False
Is 17915 composite?
True
Is 46623 composite?
True
Is 62039 a composite number?
False
Is 2777 composite?
False
Is 2741 prime?
True
Is 17481 composite?
True
Is 15133 prime?
False
Is 25793 a composite number?
False
Is 12307 a composite number?
True
Is 961 composite?
True
Is 310001 composite?
True
Is 80159 a composite number?
True
Is 1475183 composite?
True
Is 76079 a prime number?
True
Is 235929 prime?
False
Is 22391 a composite number?
False
Is 11311 a composite number?
False
Is 1851217 a composite number?
False
Is 112713 a composite number?
True
Is 32731 composite?
True
Is 9442 composite?
True
Is 510009 a prime number?
False
Is 21403 a composite number?
True
Is 56779 composite?
False
Is 10451 a composite number?
True
Is 7741 prime?
True
Is 53471 a prime number?
False
Is 106 composite?
True
Is 38113 prime?
True
Is 168529 a composite number?
True
Is 49319 composite?
True
Is 3755 a prime number?
False
Is 1133 prime?
False
Is 4366621 a composite number?
True
Is 6511 composite?
True
Is 134711 a prime number?
False
Is 71629 composite?
True
Is 6595 a composite number?
True
Is 117277 a composite number?
True
Is 31523 prime?
False
Is 10493 a prime number?
False
Is 871 composite?
True
Is 9781 a composite number?
False
Is 9173 prime?
True
Is 59497 a prime number?
True
Is 18661 a composite number?
False
Is 8813 a prime number?
False
Is 7207 a prime number?
True
Is 631 a composite number?
False
Is 894019 a prime number?
False
Is 594023 a prime number?
True
Is 409007 a composite number?
False
Is 341 a composite number?
True
Is 208099 composite?
False
Is 6049 composite?
True
Is 16361 prime?
True
Is 148691 prime?
True
Is 280751 a prime number?
True
Is 157733 composite?
False
Is 5331 prime?
False
Is 19531 composite?
False
Is 35251 prime?
True
Is 16603 a prime number?
True
Is 6440 | {
"pile_set_name": "DM Mathematics"
} |
+ 4. What is the closest to o in 0, 1, 0.1?
1
Let t = 489.1 - 489. Suppose 3*i + 14 + 31 = 0. Which is the closest to i? (a) -4 (b) t (c) -0.3
a
Let q = -0.3 - -5.3. Suppose -4*d = -d. Suppose -3*z + 7*z + 8 = d. What is the nearest to 0.1 in z, 0.09, q?
0.09
Let z be 1*(6/(-36))/(3/2). What is the nearest to -8 in -0.3, -0.1, z?
-0.3
Suppose 10*w + 6*w = 2*w. Let a = -40/11 - -233/55. What is the nearest to -1/4 in w, a, 3?
w
Let l be (-14)/16 - (390/40 + -10). Let d be (1 - 0 - -8)*(-3)/(-63). Let y = 0.2 - -0.2. What is the nearest to 1 in l, d, y?
d
Let z = 0.94 + -0.29. Let r = z - -0.35. Let f be 2/8 - 2/(-4). What is the closest to 2/13 in -3, f, r?
f
Let j be (-15)/(-18)*(1 - 5/25). Let q = -16 + 32. Let u be ((-6)/4)/((-6)/q). Which is the closest to 0.1? (a) u (b) j (c) 0.3
c
Let r = 0.054 - 4.554. Let p = r - -4.1. What is the nearest to 1 in -2/11, p, 1/5?
1/5
Let w be (-3 - 0)*(-1)/1. Let y = 16262/19 + -856. What is the closest to 0 in w, 0.4, y?
y
Let k = -0.6 - 4.4. Let b = 6035 - 30171/5. What is the closest to -0.2 in k, 3, b?
b
Let y = 5.2 + -5. Suppose -50 = -3*r - 5*g, 4*r - 23 = -2*g + 25. Let v = r - 7. Which is the nearest to 1/3? (a) -2 (b) y (c) v
b
Let s be (3/(-9))/(3 - (-219)/(-72)). Suppose 5*j + 2 = l - 1, s = -4*j. Which is the nearest to l? (a) -5 (b) 0 (c) 3/8
a
Let k = -1.046 - -0.646. Which is the nearest to -2/3? (a) 3 (b) -0.1 (c) k (d) 12
c
Let f = 0.15 - 3.15. Let s be 5/2*4/2. What is the nearest to f in s, -2/5, -3?
-3
Let l be (185/(-9))/(-5) - 4. Let r be (-55)/11 - 59/(-12). What is the nearest to -6 in l, 1, r?
r
Let h(d) = 2*d + 2. Let k be h(-3). Suppose 0 = 7*u - u - 18. What is the closest to 0.1 in -3, k, u?
u
Let r = 1.21 + 2.87. Let s = -0.04 + -0.04. Let n = s + r. Which is the nearest to 1? (a) -5 (b) n (c) 5
b
Suppose 0 = -4*v - 3*o + 6, -3*v - 2*v + 9 = 3*o. Which is the nearest to 0.07? (a) v (b) -0.5 (c) 0.3 (d) 4
c
Let o = 0.05955 + 0.04045. Let g = -0.1 - -0.1. What is the nearest to o in -0.1, g, -0.2?
g
Suppose 2 = 3*s - 5*m, s + 0 = 3*m + 2. Let y = 5.08 - 1.08. Which is the nearest to s? (a) 3 (b) -3 (c) y
b
Let o = 0.0523 + 0.0477. Let x = -1 + 0.7. Let z = -19.6 - -20. Which is the closest to o? (a) 1 (b) z (c) x
b
Let n = -2/109 - 212/327. Let k(q) = q**2 - 35*q + 67. Let l be k(33). Which is the nearest to 1/10? (a) -1 (b) n (c) l
b
Let m = 155 + -154.9. Suppose -14 = -4*i - 2*o - 4, 0 = 2*i + 3*o - 7. What is the nearest to m in -0.2, i, 3?
-0.2
Let w = 0.0505 - 0.2505. Which is the nearest to -1/4? (a) -4 (b) 6/17 (c) 1/4 (d) w
d
Let j = 200.8 - 201. What is the closest to 0.1 in -0.1, -0.4, j, -5?
-0.1
Let k = 436 - 432. What is the nearest to -1 in k, -2, -1/3, 2/5?
-1/3
Let u = -0.9 + -0.1. Let n = 1.1 - 1.4. Let c = 13/9 - 43/36. What is the closest to c in 1, n, u?
n
Let c = -15.45 + -0.05. Let u = c - -15. What is the closest to 0.1 in u, -7, 4?
u
Let d = -964/7 - -138. Let f = -2016 + 2016.27. Which is the closest to -1? (a) d (b) f (c) -2
c
Let u = -19.849 - 0.151. Which is the nearest to -2? (a) -0.1 (b) u (c) 1/5
a
Let i = 4 - 4.4. Let v be 235/75*(-5)/(-2). Let y = v - 8. Which is the nearest to -1? (a) i (b) 5 (c) y
a
Let s = 0.2082 - 0.3152. What is the nearest to s in -1, 3, 0, -2?
0
Let q be 2/(-27)*3 + (-300)/108. Let l = -1.79 + 1.29. Which is the closest to 2? (a) l (b) q (c) 0.1
c
Let d = -0.385 + 0.48. Let t = 0.905 + d. Which is the closest to t? (a) -8 (b) -2 (c) -0.4
c
Let v = -14 + 13.89. Let d = -444.11 - -448. Let p = d - v. Which is the nearest to 0.1? (a) p (b) 0.3 (c) 2
b
Let d = 33.08 - 33. Let l = 0.38 - d. Let i = 3/4 - 1/4. Which is the closest to i? (a) 2/7 (b) l (c) -4
b
Let f = -0.15 - 1.55. Let g = f - -1.7. Which is the nearest to g? (a) -0.06 (b) 2 (c) 1
a
Let h = -1.5 - -2. Let v = -0.38 - -1.38. Suppose 0 = 5*t - 4*t + 5. Which is the closest to 1/4? (a) t (b) v (c) h
c
Let f = 45 - 25. Let h = -81/4 + f. Let v = 0.06 - -0.04. Which is the closest to v? (a) 1 (b) -4 (c) h
c
Suppose -8 = 5*w + 2. Let g = -2088 - -2088. Let y = -85/14 + 32/7. What is the closest to g in y, w, 1/9?
1/9
Let i = -0.5 + 0. Let v = -0.54 - 0.46. Let m = -0.2 - 0.8. Which is the closest to v? (a) i (b) -4 (c) m
c
Let y = -5.0331 - -0.0331. Let v = -16 + 15.6. Which is the closest to -0.3? (a) 0.5 (b) v (c) y
b
Let f = 5 - 1. Let s = 18 - -2.5. Let x = s + -20. What is the closest to f in x, 2, -3?
2
Let k = -302 - -301. What is the nearest to 1/4 in 11, -3, k?
k
Suppose 18*p + 7 = -11. Let r = 4.31 - 0.01. Let l = r - 4. Which is the closest to p? (a) 9 (b) l (c) 5
b
Let s(n) = -2*n - 26. Let o(t) = t + 14. Let v(z) = -5*o(z) - 3*s(z). Let w be v(-9). What is the nearest to w in -0.01, 2/7, -1?
-1
Let k(w) = w + 3. Let t be k(3). Let m be 9/(-6) - (-393)/t. Let l = 194/3 - m. Which is the nearest to -0.05? (a) l (b) -0.2 (c) -2/3
b
Let f = 2.84 - 2.94. Which is the nearest to 1? (a) 0.3 (b) f (c) -1/2 (d) 5
a
Let j = 0.08 + -3.08. Let m(y) = -y**3 + 11*y**2 - 12*y - 3. Let v be m(10). Let r = v + 19. Which is the nearest to -1? (a) -1/4 (b) j (c) r
a
Let r be 1/(-3)*(-1)/3. Suppose 0*s = -2*s + 2. Suppose -8 = 2*d - 18. Which is the nearest to 6/5? (a) s (b) d (c) r
a
Let y = 1.4 + -0.4. Let u = -12.6 - -13. Let q = 0.172 - 0.572. What is the nearest to 0.1 in q, u, y?
u
Let c = 6 - 16. Let n = -10.1 - c. Let v = -5473/15 + 365. What is the nearest to n in -5, v, 4?
v
Let x = -72 + 66.4. Let m = 6.6 + x. What is the nearest to 0 in 1/5, m, 5?
1/5
Let f = 10 + -12. Let k be (-20)/315 - (-4)/(-18). What is the nearest to -0.1 in f, -0.2, k?
-0.2
Suppose 159*w = 160*w + 1. Let l be (24/(-100))/((-12)/15). What is the nearest to 1 in w, l, 2?
l
Let t = 14/37 - -41/185. Let i be 1/(-3) + 2/(-30). Which is the closest to i? (a) 6 (b) -4 (c) t
c
Let r(q) = -3*q + 6. Let z be r(4). Let v be 2/z*(-6)/4. Let o = -2.896 + 3.396. Which is the nearest to v? (a) -2 (b) -3 (c) o
c
Suppose 0 = -5*k - 4*j - 105, 0 = -k - 0*k + 4*j - 45. Let a be (-10)/k*(1 + 13). Let r = a - 6. What is the closest to r in 2/13, 2, -2/5?
-2/5
Let j = -5 + -0.1. Let x = -5 - j. Let r = 489/2 - 244. Which is the nearest to x? (a) r (b) -2/3 (c) 0.1
c
Let d = 138 - 137. Suppose -5*l + 9 = -3*w, 0*l = 4*w + l + 12. Which is the closest to -0.2? (a) w (b) 0.1 (c) d
b
Let h = -266.7 - -262.7. Which is the closest to 1/2? (a) 2/131 (b) h (c) -1/3
a
Suppose -4*v - 1 = -y - 40, -v + 2*y = -8. Let j be (v/6 - 2) + 28/(-6). Which is the nearest to 3/5? (a) j (b) 2/3 (c) 1/4
b
Let n = -0.1 + -0.3. Let l = 0.2 + n. Let m = -90 - -92. Which is the nearest to -1? (a) m (b) l (c) 4
b
Suppose -6 = -2*a - 2. Let b be (3/a)/(189/18). What is the closest to -2/7 in b, 1/3, -2/9?
-2/9
Suppose -3*m = m - 4*i, -4*i - 8 = 0. Let j = -13 - -18.35. Let l = 0.35 - j. What is the closest to m in 4/3, -1/3, l?
-1/3
Let s = -493.6 + 494. What is the nearest to 0.2 in -2, -0.1, s, -6?
s
Let w(v) = -2*v + 4. Let t be w(3). Let r = -0.1 - -0.4. Let d = 17 + -16.6. What is the closest to t in 5, r, d?
r
Suppose d = -16 - 35. Let k = d - -46. Let t = 0.3 + -0.2. What is the closest to t in 2, k, -0.2?
-0.2
Let v = 2.46 + 0.64. Let r = 0.12 - -3.88. Which is the closest to 0? (a) -5 (b) v (c) r
b
Let n = -38/15 - -27/10. Suppose 2*g + 4 = -0. Let j be 3*2/(-4) - g. Which is the closest to -0.02? (a) j (b) 2/19 (c) n
b
Let k be (6 - 3)*(125/30 + -4). Which is the closest to -2? (a) 4 (b) k (c) 3/5 (d) 0.9
b
Let y = 5 + -8. Let h(p) = p**3 + p - 12. Let u be h(0). Let w(i) = -i**3 - 13*i**2 - 12*i + 2. Let m be w(u). Which is the closest to 1? (a) y (b) m (c) -4
b
Let q = -157 + 156. Let d be 1/((-18)/(-10) + -2). What is the nearest to 0 in q, -1/8, d?
-1/8
Let n = -1165 - -5827/5. Which is the nearest to n? (a) -4/25 (b) -1 (c) -1/8 (d) -0.1
d
Let m = -6.037 - -0.037. What is the nearest to m in -4, -5, -2/3?
-5
Let g be 6/8*2*(-166 + 168). Let s = 0.3 - 0.2. What is the closest to s in 0, 0.5, g?
0
Let l = -2.8703 - 2.1297. Let v = -0.1 + 0. Which is the closest to v? (a) 12/11 (b) 1/3 (c) l
b
Let u = -1056 - -1056. What is the closest to u in 0.29, 0.4, 2/9?
2/9
Let l = -22 - -9. Let q = -9 - l | {
"pile_set_name": "DM Mathematics"
} |
79/15?
30
Let l = 2 - 0. Let x be 0 - (0 - (l + -2)). Suppose x = j + 4*q - 34, 0*j + 4*j - 73 = 5*q. Calculate the lowest common multiple of 22 and j.
22
What is the smallest common multiple of 87/12 + 9/12 and 8?
8
Calculate the common denominator of -33/2 and (582/20)/(6/5).
4
Let g = 100493/9032 + -3/2258. Let v = 3867084545/872808 - -50/109101. Let o = 4442 - v. Calculate the common denominator of g and o.
8
Let m(p) = p + 1. Let j be m(2). Let n(z) = 7*z - 7. Calculate the least common multiple of n(j) and 8.
56
Let y be 207/2 - (-33)/(-22). Suppose -4*k + y - 22 = 0. Calculate the smallest common multiple of 20 and k.
20
Let o = 71 + -51. Let z = -30 + 50. What is the lowest common multiple of z and o?
20
Suppose -5*a + a - 4*s + 52 = 0, -2*s = 10. Calculate the least common multiple of a and 22.
198
Suppose -4*l + 344 = 104. Find the common denominator of ((-3)/(-24))/((-2)/(-170)) and 7/21 + (-131)/l.
40
Calculate the smallest common multiple of (8/(-24))/((-3)/216) and 6.
24
Let n(b) = -8*b - 1. Let y be n(1). Let d = y + 15. Calculate the lowest common multiple of 2 and d.
6
Let t = -15591/16502 - -57/223. Calculate the common denominator of -3/16 and t.
592
Let u(t) = 4*t - 2. Suppose -h = 3*h - 12. Let l be u(h). Calculate the common denominator of ((-1)/l)/(2/(-28)) and -71/6.
30
What is the least common multiple of 8/(-6)*(-63)/6 and (-80)/(-36) - (-10)/(-45)?
14
Suppose 0 = -3*h + 4*c + 9 + 5, 4*h = -4*c. What is the lowest common multiple of 22 and h?
22
Let w(g) = g**2 - 5*g + 8. What is the lowest common multiple of w(5) and 22?
88
Let y(z) = -2*z - 2. Let q be y(-2). Let f(x) = -2*x - 4 + x**q + x**2 + 0*x**2. Calculate the lowest common multiple of f(3) and 14.
56
Let i(k) = -k**3 - 9*k**2 - 10*k + 2. Let p be i(-8). Suppose 0 = g - 3*g - 2*v + 12, 0 = 2*g - 4*v - p. What is the smallest common multiple of g and 7?
7
Let i = 6/1189 + 162785/21402. Find the common denominator of -53/36 and i.
36
Let g = 183/700 + 33/28. What is the common denominator of 16/55 and g?
275
Suppose -2*j = -0*j - 8. Suppose -h + j*h = 60. Suppose h + 16 = 4*g. Calculate the least common multiple of 5 and g.
45
Calculate the common denominator of 19/62 and 3 - (-151)/(-10) - -3.
310
Let l(q) = -5*q**2 + 2*q - 2. Let d be l(4). Let f be (-3)/12*11/d. Let j = -8655/2072 - f. What is the common denominator of j and 145/12?
84
Suppose 46 = 3*g - 4*l, 5*g + 0*l - 105 = l. What is the lowest common multiple of 5 and g?
110
Let f(q) = q**2 + 4*q - 5. Let r be f(-5). Suppose -v + r = -22. Calculate the smallest common multiple of v and 16.
176
What is the least common multiple of 21 and 60/(-18)*27/(-6)?
105
Suppose -o - 10 = -3*o. Suppose -4*p + p + o*n + 4 = 0, 5*n - 5 = 0. What is the smallest common multiple of p and 10?
30
Suppose 0 = 2*q - 7*q + 15. What is the common denominator of 1/20 and 16/(-24)*(-19)/q?
180
Find the common denominator of (4/10)/((-8)/226) and 1055/(-90) + 5 + (-2)/9.
90
Let s be (-6)/10 + 1424/40. Suppose 0 = -2*k - v + s, 42 - 7 = k - 3*v. What is the least common multiple of 12 and k?
60
Suppose 5*g - 4*g = 40. Calculate the smallest common multiple of 20 and g.
40
Suppose m + 3*m = 3*q + 2, -5*q = -5*m. Suppose 0 = t - q - 0. Calculate the smallest common multiple of t and 22.
22
Let m be ((-17)/(-5) - 4)*-10. Suppose v = -m*v + 126. Calculate the lowest common multiple of 20 and v.
180
Suppose 0*p - 3*p = -27. What is the lowest common multiple of p and (-264)/(-32) - 2/8?
72
Find the common denominator of (-28)/(-8)*138/(-98) and -53/16.
112
Suppose -19 = -k - 0*k. What is the common denominator of ((-9)/(-6) - -1)*-7 and (30/(-4))/(3/k)?
2
Let g(s) = 3*s + 5. Let a(c) = -2*c - 4. Let i(b) = -6*a(b) - 5*g(b). Let q be i(-3). Calculate the lowest common multiple of 4 and ((-18)/q)/((-3)/24).
36
Suppose 2*p = 5*u - 37, u - 4*p = -5 + 16. Let f(h) = -h**3 + 7*h**2 + h - 6. Let x be f(u). Find the common denominator of 33/14 and x*3/(-6)*-23.
14
Let h = 12 + -7. Suppose 4*z - 3*p - 20 = 13, -39 = -4*z + h*p. Suppose z + 2 = 2*m. What is the least common multiple of m and 9?
36
Let y(i) = i**3 + i**2 + 5. Let g(z) = z**2 + 6*z. Let o be g(-6). Let c be y(o). Suppose c*d + 31 = 81. Calculate the least common multiple of 8 and d.
40
What is the common denominator of 43/16 and (-119)/(-32) + 1 + -4 + 2?
32
Let a = 2 - 4. Let p be ((-4)/(-8))/((-1)/a). What is the common denominator of 61/20 and (-291)/54 - (1 - p)?
180
Let i = -668681/32636 - -840/41. Let h = i + -10943/1592. Calculate the common denominator of h and -121/10.
40
Suppose -780 = i - 40*i. Suppose -11 = 2*j - 43. Let m = j + 6. Calculate the least common multiple of i and m.
220
Let t be ((-2)/4)/((-2)/14764). Let n = -66379/18 + t. Calculate the common denominator of n and 27/4.
36
Suppose 8 = 3*j - 2*j. Let h(z) = 2*z. Calculate the least common multiple of h(9) and j.
72
Let o = 1763 + -3623/2. Let q = 2083799/1035 + -6040/3. Let c = q + 94193/8280. What is the common denominator of c and o?
8
Let b = -803049/118342 + 1/8453. Find the common denominator of b and -17/16.
112
Let v(o) = o**2 + 3*o + 3. Let u be 5/(-10) - 38/(-4). Suppose -r + 17 = u. Calculate the least common multiple of r and v(-4).
56
Suppose 8 = -4*i + 44. Let a = -4 + i. Calculate the smallest common multiple of a and 2.
10
Let f be (4*(-3)/2)/(-2). Suppose -4*t + 4*u + u = 9, t - 19 = -f*u. Let n(s) = s**3 - 5*s**2 - 7*s + 7. Calculate the least common multiple of t and n(6).
4
What is the least common multiple of ((-36)/30)/((-3)/30) and 6?
12
Suppose 5*b + 0*b = 5. Let c be (-1 - 1)*(-24)/16. Calculate the lowest common multiple of -1 - ((-18)/c - b) and 3.
6
Let u = 135 + -91. Calculate the common denominator of ((-742)/(-21))/(u/6) and -55/3.
33
Let j be 3/2 - 687/204. Let t = j + 138/17. Calculate the common denominator of -89/16 and t.
16
Let z = -42317/192 + 11224021/44736. Let f = z - -3/466. What is the common denominator of f and -79/10?
10
Let x(r) = -r**2 + 5*r - 2. Calculate the least common multiple of 2 and x(4).
2
Let z = -7437/4 + 1841. Suppose -5*k = 7 + 13. Find the common denominator of z and (-1146)/(-56) - k/14.
4
Suppose -2*g + 0*g + 34 = 0. Suppose 2*x - g + 5 = 0. What is the least common multiple of 5 and x?
30
Calculate the common denominator of (84/96)/(9/(-52)) and 27/22.
198
Let t(x) = x**3 + 8*x**2 - 4*x. Let i be t(-8). Let r = i + -16. Suppose 0 = u + u - 28. Calculate the least common multiple of u and r.
112
Let b = -14/1675 + -125401/26800. Calculate the common denominator of 61/16 and b.
16
Let s be -2 - 5/(15/(-18)). Suppose -4*q + 0*q + 12 = 0. Suppose 2*i + s*z - 2 = 0, 4 = -q*z + 1. Calculate the lowest common multiple of 11 and i.
33
Let h be (-6)/(-3) + 7 + -2. What is the common denominator of (-27)/10*(-8)/(-6) and 1/(-15) + h/(-21)?
5
Let t be 8/(-10) - 1/5. Let q be (-1 - t/(-1)) + 2. Suppose 3*p = 3*v + 7*p - 26, -4*v + 2*p - 2 = q. Calculate the smallest common multiple of 3 and v.
6
Suppose 0 = 7*s - 2*s + 2*b - 90, -4*b + 54 = 3*s. What is the least common multiple of s and 15?
90
Suppose -m + 4*i + 17 = -0*i, 34 = 2*m - 3*i. Let j = m + -15. Calculate the smallest common multiple of j and 8.
8
Let o(i) = -20*i. Let h be o(-2). Suppose p = -p + h. Calculate the lowest common multiple of -1 + -18*(-3)/6 and p.
40
What is the common denominator of 45/16 and 36/(-24) + (-47 - (-3)/(-3))?
16
Let q = -74373/16 + 4650. Find the common denominator of q and -85/4.
16
Suppose s - 6 = 1. Suppose 0 = 3*n - 2 - 10. Suppose -v = n*z - 16, -30 = -5*v + 4*z + z. Calculate the lowest common multiple of s and v.
56
Let c = -69 - -87. Suppose 0 = 4*s - 3*s - 2. Suppose b = -5*z - 11, b + 5*z = s*b - 19. What is the smallest common multiple of b and c?
36
Suppose 2*h + h = 6. Let t be -1*(1 + 4) - h. Calculate the lowest common multiple of 8 and -3*4/14*t.
24
Let m(n) = -n**3 - 7*n**2 - n + 1. What is the least common multiple of m(-7) and 16?
16
Suppose 0 = 13*j + 12 - 142. What is the lowest common multiple of j and 17?
170
Let o = 3512 + -14127/4. What is the common denominator of o and 4/18 + 280/(-18)?
12
Suppose -3*o - 10 = -t + 2*o, 5*t - 50 = 3*o. Let y = 9 - -3. Calculate the least common multiple of t and y.
60
Let i = -25 - -39. Suppose -5*f + | {
"pile_set_name": "DM Mathematics"
} |
ose 0 = -2*y - 4*q + n*q + 136, 2*y = -t*q + 120. Is y a multiple of 27?
False
Does 13 divide 4517/8 - 7*51/(-952)?
False
Let n(g) = -g**2 + 2*g. Suppose 0*a = 5*a - 5. Let z be n(a). Is 3 a factor of (-9)/(-1) - (z - 2)?
False
Is (120/100)/(6/1000) a multiple of 8?
True
Let m(c) = 3*c**3 + 2*c**2 + c - 13. Let t(x) = -x**3 + x**2 + 1. Let g(y) = -m(y) - 5*t(y). Let l be g(5). Suppose -4*a + 6*a = l. Is a a multiple of 7?
False
Let y = 8 - 5. Suppose 0 = -0*u + y*u + 156. Let b = u + 88. Does 18 divide b?
True
Suppose 5*v = 2*z - 3 - 16, 3*v = -3*z - 24. Let k be z + -5 - 2/1. Let c(b) = -5*b - 17. Does 11 divide c(k)?
True
Suppose -2 = v - 9. Let f = -37 - -151. Suppose -v*p = -p - f. Does 17 divide p?
False
Suppose -3*t + w = -1572, -3*w = -3*t - 0*w + 1566. Is 53 a factor of t?
False
Let i = 45 + -39. Suppose 5*r + i*r = 264. Does 14 divide r?
False
Let x = 11 - 5. Suppose -2*c - 2*n + 70 = 0, 3*n - 126 - 12 = -4*c. Suppose 3*b + 47 = 5*v, -3*v + x*v - c = -3*b. Does 6 divide v?
False
Let m(k) = -49*k + 19*k + 92*k**2 + 13*k + 16*k. Is m(1) a multiple of 13?
True
Let w(y) = -13*y - 13. Let i(g) = 77*g + 133. Let b(m) = 7*m + 12. Let p(j) = 56*b(j) - 5*i(j). Let l(t) = -5*p(t) - 3*w(t). Is l(5) a multiple of 24?
True
Suppose 2*a = -6, -58 - 434 = -o - a. Is 58 a factor of o?
False
Let u be (-140)/21*(-6)/4. Let t(f) = -4*f**2 - u*f - 3 + 9 + 5*f**2. Is t(10) a multiple of 6?
True
Let y(f) = -f**3 - 3*f**2 - 3*f + 3. Let u be y(-3). Suppose 0*h + u = 6*h. Suppose -h*n + 39 + 1 = 0. Is 8 a factor of n?
False
Suppose 2*s + 5*p - 271 = 230, -s + 245 = -3*p. Suppose -s = -9*j - 5. Is j a multiple of 4?
False
Suppose 6 = -r - 2*r. Is r*1/((-6)/123) a multiple of 9?
False
Let a be 1/5 - (-264)/30. Suppose -3*m - 4*i = -3, -a - 16 = -2*m + 5*i. Suppose m*c = -3*s + 24, 0 = 5*s - 5*c - 15 - 25. Is s even?
True
Suppose -34 = -10*g + 8*g. Suppose -2*f + g = 3*s, 0*f + 4*s - 24 = -3*f. Is 3 a factor of f?
False
Let p be (-8)/(-6) + 4/6. Suppose 0 = 6*b - p*b, 3*a - 6 = 4*b. Suppose 0 = -a*q + 182 - 26. Does 26 divide q?
True
Let u = 3487 - 2582. Is u a multiple of 36?
False
Let y be ((-4)/4)/(3/(-12)). Let i(b) = -b**3 + 6*b**2 - 17*b - 9. Let h(p) = p**3 - 7*p**2 + 16*p + 8. Let r(s) = y*i(s) + 5*h(s). Is 12 a factor of r(10)?
True
Let v be 1/(-3) - (-2)/(-3). Does 26 divide (-1085)/(-14) + (-1)/(v*2)?
True
Suppose 1 + 43 = -4*j. Let a be 240/110 + 2/j. Let b = a + 17. Is b a multiple of 18?
False
Let a be 346/(-10) - 4/10. Suppose -2*q = x + 1, -2*x + 2*q - 2 = 6. Does 12 divide 3 + -5 - x - a?
True
Suppose -1616 = -4*o + 4*x, -6*o + 2036 = -o - x. Does 8 divide o?
True
Suppose -5*q - 15 = -h, -h + 0*h + 13 = -4*q. Suppose -j - 128 = -h*j. Does 4 divide j?
True
Suppose 27*v - 37*v = -13800. Is 15 a factor of v?
True
Suppose 2*i + m = 114, 3*m - 14 = 2*i - 136. Is 7 a factor of i?
False
Does 2 divide -2*((-13 - -4) + 7)?
True
Let n be 44/3 + (-2)/3. Suppose 2*y + l = 7, y - l + 5*l - n = 0. Suppose y*o + 32 = 4*p, -5*p + o + 7 = -36. Is 2 a factor of p?
False
Let t = 43 + -33. Let j(q) = 3*q**2 - 16*q + 22. Is 18 a factor of j(t)?
True
Suppose -4*r - d + 478 = 0, 3*r + 3*d - 364 = 5*d. Let g be ((-18)/(-3))/((-2)/(-3)). Suppose -4*u = -4*q - r, -g = u + 3*q - 47. Does 8 divide u?
True
Let m = 62 + -60. Suppose 63 = -f + 5*k + 207, m*f - 3*k - 288 = 0. Is f a multiple of 24?
True
Let n = -15 + 27. Let j = -24 - -41. Let w = j - n. Is w a multiple of 2?
False
Is 22 a factor of 426/2 - ((-72)/(-6) + -7)?
False
Let q be (-4)/(-18) + (-19856)/(-72). Is (-20)/(-6)*q/10 a multiple of 23?
True
Suppose k - 187 = -r, 2*r + 199 = 3*r - 3*k. Suppose -2*l + r = 54. Is l a multiple of 14?
False
Suppose -3*h = -5*h - 5*n - 23, 2*n + 2 = h. Let g be 2 + (h - 1) + 0. Is 11*(-1 - (g - -1)) a multiple of 11?
True
Let a(k) = 232*k + 24. Is a(1) a multiple of 56?
False
Let t(h) = -3*h. Let o(l) = l**3 + 7*l**2 + 6*l - 1. Let i be o(-6). Let p be t(i). Suppose -p*y - 33 = -168. Is y a multiple of 9?
True
Suppose -5 = -x - 2. Suppose -4*k - 3 = o - x*k, 5*o - 2*k = -15. Is 10 a factor of ((-8)/o)/((-12)/(-234))?
False
Is (-96)/80*(-21435)/6 a multiple of 132?
False
Does 24 divide 63/14*284 + -6?
True
Let t(s) = 105*s - 1. Is 13 a factor of t(1)?
True
Suppose 9*m - 23743 + 8425 = 0. Is m a multiple of 46?
True
Suppose 0 = -8*k + 7*k - 4, -2468 = -4*i + 2*k. Does 6 divide i?
False
Let u(i) = 20*i - 257. Is u(13) a multiple of 3?
True
Suppose 0 = -25*f + 24*f - 2*l + 960, 0 = 3*f - 2*l - 2848. Is 37 a factor of f?
False
Let a = -1104 - -1845. Does 39 divide a?
True
Is (38/(-5))/(12/(-1080)) a multiple of 4?
True
Let n(t) = t**2 - 22*t + 31. Let f be n(10). Let l = f + 127. Is 5 a factor of l?
False
Suppose 0 = 25*u - 37*u + 9072. Is u a multiple of 35?
False
Is 1 + (-40)/24 - 16575/(-9) a multiple of 38?
False
Let u be ((3 - -8) + 2)*(6 + -5). Suppose -n + 2 = -3*n, -2*n = 3*p - u. Is 5 a factor of p?
True
Let j = -56 + 42. Is (-1 + j/4)*44/(-3) a multiple of 11?
True
Suppose -3*w - 43 = 20. Let k be (w/6)/((-4)/88). Let q = k - 14. Is q a multiple of 23?
False
Suppose 5*u - 16 = -46. Is 9 a factor of (14/u)/((-3)/45)?
False
Let i be (30/18)/(4/(-288)*-4). Is 20 a factor of -3 + 85/i - (-242)/12?
True
Let q = 1 + 3. Suppose 0 = -q*w + 127 + 493. Suppose 5*i = 5*p + w, 4*p - 97 - 10 = -3*i. Is i a multiple of 9?
False
Suppose -p - 8 = -15. Let k be 24/p + (-8)/(-14). Suppose x = -5*a + 33, 10 - 2 = -k*a. Is 11 a factor of x?
False
Let f(x) = -x**3 + 3*x**2 + 12*x - 12. Let a be f(5). Is (a + 62)/(-1 + 2) a multiple of 8?
False
Let b(j) = -j**3 + 26*j**2 + 34*j - 143. Is 9 a factor of b(27)?
False
Let j = -23 + 28. Suppose j*r - 92 = -3*i, -4*i = -4*r - r + 64. Is 16 a factor of r?
True
Let n = 89 - 38. Let a = n - 9. Is a a multiple of 14?
True
Let c = 262 - 51. Let m = c - 118. Is 28 a factor of m?
False
Let t be ((-2)/6)/(30/540). Let c(v) = -2*v**3 - 6*v**2 + v + 4. Is 12 a factor of c(t)?
False
Suppose -9 = -3*r + 6*r. Let h be (-22)/(-7) - r/(-21). Suppose 5*i = -d + 8, -h*i = -4*i - 4*d - 6. Is i a multiple of 2?
True
Let q(s) = -s**3 + 19*s**2 - 16*s + 4. Let m be q(18). Suppose -m = -39*f + 37*f. Is f a multiple of 20?
True
Let m(k) be the second derivative of 3*k**3/2 - 3*k**2 - 86*k - 1. Let c(f) = -2*f - 9. Let l be c(-6). Is m(l) a multiple of 6?
False
Suppose 5 = -h + 12. Let i be ((-44)/h)/(4/(-14)). Let u = -1 + i. Is u a multiple of 4?
False
Suppose -9 + 24 = 5*l. Suppose 55 = 3*q - 6*g + g, 35 = 5*q + l*g. Does 4 divide q?
False
Let m(o) = -o - 2. Let c be m(-6). Suppose c*b + 61 = -55. Is 9 a factor of (-18)/9 - (0 + b)?
True
Let a(r) = -r - 3. Let c be a(-9). Let x(v) = 2*v**3 - 8*v**2 - v + 13. Let h(t) = t**3 - 4*t**2 - t + 6. Let n(d) = 5*h(d) - 2*x(d). Is 29 a factor of n(c)?
True
Let c = 131 + -72. Let l be 1/(4/(0 + 8)). Does 12 divide (0 - c)*-1 - l?
False
Suppose 0 = 5*g + 3*g + 24. Is g/(-7) - (-151)/7 a multiple of 22?
True
Suppose -12*f = 2417 - 7937. Is f a multiple of 20?
True
Suppose 0 = -3*r - s + 458, 4*s - 420 - 341 = -5*r. Is 11 a factor of r?
False
Let j(g) = 2*g - 4. Let m be j(-2). Let b = -6 - m. Does 15 divide 1 - ((-34)/b + 3)?
True
Suppose -9*a + 10 = -26. Suppose 0*z = -3*w - 3*z + 447, -a = -z. Does 29 divide w?
True
Let r = 734 + -328. Is r a multiple of 29?
True
Suppose -4*g - 43 = -0*g - s, g - 2*s + 16 = 0. Let t(n) = -n**3 - 8*n**2 + 13*n + 8. Is t(g) a multiple of 6?
True
Let x(r) = 2*r**3 - 22*r**2 + 67*r - 4. Is x(5) a multiple of 30?
False
Let k(x) = 15*x**3 - x + 1. Let a be k(1). Suppose -5*m + 15 = -f + 36, a = 3*f - 3*m. Does 16 divide 3*f/(6/32)?
True
Let d = 1037 + -442. Is 27 a factor of d?
False
Suppose -l - 4*h - h = -17, -5*l = -h + 45. Let q(u) = -29*u - 32. Is 40 a factor of q(l)?
True
Let g(t) = -t**2 - 15*t + 3. Let z be g(-9). Let k = z + -99. Does 16 divide 12/(k/16 + 3)?
True
Let k(f) = -40*f + 15. Let q(m) = 119*m - 44. Let x(i) = 11*k(i) + 4*q(i). Does 37 divide x(3)?
False
Let b = 489 + 41. Is b a multiple of 10?
True
Let s(i) = 5*i**2 - 10*i + 6. Let m(t) = 5 + 2*t**2 + 4*t**2 + 1 + 0*t**2 - 11*t. Let f(z) = -4*m(z) + 5*s(z). Is f(8) a multiple of 21?
False
Let x = 5 + -11. Let f be (15/6)/((-3)/x). Suppose -45 = -f*q + 80. Does 8 divide q?
False
Let y(i) = i**3 - 7*i**2 - 11*i + 4. Suppose 7*s + 0* | {
"pile_set_name": "DM Mathematics"
} |
or of 20 and i.
4
Let g(d) = d**2 + 7*d - 43. Let z be g(-19). Suppose -5*c - 80 = t - 2*t, -4*c = -3*t + z. Calculate the greatest common divisor of t and 11.
11
Let t = 269 + -174. Suppose -8 = -4*d + b, 2*d + b = 3*d - 2. Let p be d/(-2) + 20 + 0. Calculate the highest common factor of p and t.
19
Suppose -9*f = -4*f - 20. Suppose -u + 322 = 5*a - f*u, 0 = 4*a - 3*u - 260. What is the greatest common factor of 155 and a?
31
Suppose 2*b + 5*h - 16 = 0, 3*b - 3*h - 7 = -2*h. Suppose 0 = 2*s - b*s + 20. Let n = s - 15. Calculate the highest common divisor of n and 2.
1
Suppose -3*d = 2*d - 15. What is the greatest common factor of 5 and d?
1
Let i(w) = -8*w - 47. Let x be i(-8). Calculate the highest common factor of x and 697.
17
Let a = 127 + -332. Let l = a - -435. Calculate the greatest common divisor of 46 and l.
46
Suppose -5*v = -4*o - 81, 3*o + 0*o + 14 = v. Let b = 6 + -3. Let l be b/(-2)*(-374)/3. What is the greatest common factor of v and l?
17
Let p(b) be the first derivative of 15*b**2 + 5*b + 22. Let m be p(3). Calculate the highest common divisor of 19 and m.
19
Let w be (4 + 4)*1 - 4. Let o = 11 + -11. Suppose 0 = 4*l - o - 8. What is the greatest common divisor of l and w?
2
Let g = 1483 - 1051. What is the greatest common divisor of 27 and g?
27
Let t be (4 - (-336)/36)*12. Calculate the greatest common divisor of t and 10.
10
Suppose 3*a - 12 = 0, -3*h + 0*a - 4*a = -37. Let c = h - 2. Calculate the highest common divisor of c and 5.
5
Let s(l) = l**3 - 8*l**2 - 11*l + 32. Let g be s(9). Calculate the greatest common divisor of 133 and g.
7
Let l be 1*(-1 + (2 - -12)). Let y = -28 - -33. Suppose 0 = 3*c + y - 44. Calculate the highest common divisor of l and c.
13
Let b be (-1)/((-116)/(-39) + -3). Let v = b + -28. What is the highest common factor of 11 and v?
11
Let b be 39*9/(162/24). Calculate the greatest common factor of b and 2.
2
Let p = -1233 - -1273. What is the greatest common factor of p and 190?
10
Let o(b) = 2*b**2 + 21*b - 11. Let z(l) = -l**2 - 10*l + 5. Let v(f) = -6*o(f) - 13*z(f). Let t be v(-4). What is the highest common divisor of t and 2?
1
Let r(b) = -3*b**3 - 4*b**2 - 5*b + 2. Suppose -5*p + 19 = -q, q - 4*q - p = 9. Let f be r(q). Calculate the greatest common divisor of f and 6.
6
Let k(w) = 5*w**2 - 6*w**2 - 7*w - 6 + 9*w**2. Let y(n) = -3*n**2 + 4*n + 3. Let u be y(-1). Let d be k(u). Calculate the greatest common divisor of 15 and d.
15
Suppose -6*d - 1560 = -5*i - 3*d, i = -4*d + 312. Calculate the greatest common divisor of 24 and i.
24
Let o(v) = v**3 + 6*v**2 - 6. Let t be o(-5). Let a = 31 - t. Suppose -2*n - m = -24, 5*m + 2 - 14 = -n. Calculate the greatest common divisor of n and a.
12
Let s = 12 + -12. Suppose 3 + s = 3*g. Let c = g + 3. Calculate the greatest common factor of 16 and c.
4
Suppose -18*k + 528 = -12*k. Suppose -32 = 7*q - k. Calculate the highest common factor of q and 12.
4
Let q be 989/6 + 14/84. Calculate the greatest common divisor of q and 55.
55
Let l = -33 - -79. Suppose 0 = -6*z - 0*z + 36. Let i(x) = -x**3 + 6*x**2 + 5*x - 7. Let v be i(z). What is the highest common divisor of v and l?
23
Suppose 4*y - 64 = -2*n, -4*y + 7 = 3. What is the highest common factor of 48 and n?
6
Suppose 3860 + 32657 = 53*w. What is the greatest common factor of 13 and w?
13
Let l = -40 + 108. Let a be -1 + l + 72/(-18). Calculate the greatest common factor of a and 42.
21
Suppose 5*b + 74 - 349 = 0. Let h = 71 - b. What is the highest common factor of 8 and h?
8
Suppose -4*w + 0*t + 11 = -5*t, 0 = -t + 5. What is the greatest common factor of 27 and w?
9
Suppose 0 = -2*q - 4*z + 52, -2*z + 7 = -2*q + 41. What is the greatest common factor of q and 50?
10
Let m(z) = -z**2 + 15*z + 14. Let g be 4/5 + -1 + 66/5. Let a be m(g). Calculate the greatest common divisor of 16 and a.
8
Let f = 791 - 733. What is the highest common divisor of f and 1566?
58
Let h = -92 - -92. Suppose h = -3*f + 2*w + 24, -5 - 16 = -4*f - w. Calculate the greatest common factor of 54 and f.
6
Suppose 18*m + 4*r = 21*m - 12, -15 = -4*m + 5*r. Suppose 4*d = -m*d + 156. Calculate the highest common divisor of 65 and d.
13
Let p = 7 - 15. Let d be 1 + -2 - (-2 + 23). Let r = p - d. What is the greatest common divisor of r and 2?
2
Let h(c) = -c**2 - 14*c + 41. Let o be h(-15). Calculate the highest common divisor of 4 and o.
2
Let k(f) = f**2 - 4*f - 8. Let u be k(-2). Suppose -u*y + 42 = 2*y. Suppose -3*o - 1 = -w - 9, o - 1 = 2*w. Calculate the greatest common divisor of w and y.
1
Suppose -2*v - 2*v - 4*k + 32 = 0, -2*v - 5*k = -10. Let x = 9 - v. Let y be (-1)/x*(5 - 4). What is the greatest common factor of y and 9?
1
Suppose -g + 168 = -4*g. Let h be 1*-3 - g/8. Suppose h*r - 14 = 10. What is the greatest common divisor of 3 and r?
3
Let q be (6/(-15))/(204/(-200) + 1). What is the highest common factor of q and 540?
20
Let o(k) = 7*k**2 + 39*k + 1. Let s(f) = -10*f**2 - 58*f - 2. Let u(w) = -7*o(w) - 5*s(w). Let r be u(-17). Calculate the highest common factor of r and 27.
3
Suppose 3*n = -2*g + 268, 0*g - 84 = -n + 2*g. Suppose 2*k - n = -6. Calculate the greatest common factor of k and 287.
41
Suppose 4*t = -4*w - 2 - 2, 5*t = 3*w + 27. Suppose t*i - 5*l = 911, 277 = -0*i + i + 5*l. Calculate the greatest common factor of 27 and i.
27
Suppose l - 3*l = -z + 3, 0 = l - 1. Let u be z + (-332)/(-24) - 1/(-6). What is the highest common divisor of 209 and u?
19
Let o = 64 + 57. Let l = o + -46. Suppose -6*d = -l - 105. Calculate the greatest common divisor of 20 and d.
10
Let s(g) = 29*g + 153. Let t be s(-5). Suppose r - 37 = 4*k, 2*r - 7*r + 100 = -3*k. Suppose -b - r + 49 = 0. Calculate the greatest common divisor of t and b.
8
Let a(w) = w + 6. Let p be a(12). Let c be -18*9/(p/(-8)). Calculate the greatest common divisor of c and 18.
18
Suppose 4 = -3*c + 88. Suppose 0*i - 2*i = -c. Calculate the highest common divisor of 42 and i.
14
Suppose -b + 2*k = -4*b - 25, -48 = 4*b - k. Let m be b/2*(-14 - -12). What is the highest common divisor of m and 88?
11
Let a = 9 + -8. Suppose 2*r - a = 21. Let m be 3 - (-1 + 6) - 57*-1. Calculate the highest common factor of r and m.
11
Suppose -4*x = -9*x. Suppose x = -4*c + 3*c - 9. Let v be 3 + 3/c*0. What is the highest common factor of 9 and v?
3
Suppose 2*i + 10 = 0, 2*d - 56 = -9*i + 13*i. What is the highest common factor of d and 108?
18
Let d(u) = -5*u - 20. Let y(c) = -14*c - 62. Let o(z) = 20*d(z) - 6*y(z). Let h be o(-2). What is the greatest common divisor of h and 1?
1
Suppose -2*a = -6*a + 220. Let o(v) = -v + 47 + a + 0*v + 0*v. Let l be o(0). What is the highest common divisor of 68 and l?
34
Let b = -266 - -303. What is the greatest common factor of 148 and b?
37
Suppose -p = 1 - 6. Suppose -66 + 11 = -p*o. What is the greatest common factor of 1 and o?
1
Suppose 5*u - 181 + 36 = 5*f, 4*f - 39 = -u. What is the highest common divisor of 31 and u?
31
Let u be -18 + (1 - 1) + 0. Let r = -9 - u. Let t be (-1)/(((-1)/r)/1). Calculate the greatest common divisor of 72 and t.
9
Suppose -4*n = i - 734, 3*i - n - 2970 = -i. What is the highest common factor of 106 and i?
106
Suppose 4*m + 0 + 8 = 0, 2*i + m = 102. Suppose 14*j - 351 = -13*j. What is the greatest common factor of i and j?
13
Suppose -975 = -27*v + 2*v. Calculate the highest common divisor of v and 195.
39
Let r(n) = n**3 + n**2 - n + 82. Let d be r(0). Suppose -d - 26 = -6*z. What is the highest common factor of 72 and z?
18
Let q(c) = -2*c + 25. Let g be q(15). Let r be g/(5/2) - -32. Calculate the greatest common divisor of 330 and r.
30
Suppose -194 = 12*s - 2930. What is the highest common divisor of s and 12?
12
Let z = -319 - -359. Calculate the greatest common divisor of 64 and z.
8
Let y(s) = s**3 + 7*s**2 - 18*s - 66. Let t be y(-8). Calculate the highest common divisor of t and 154.
14
Let k be -13*(-2 - 2)/2. Suppose 0 = 7*b - 97 - 85. Calculate the greatest common divisor of b and k.
26
Let l(v) = -v**2 + 27*v - 18. Let m be l(24). Calculate the highest common divisor of m and 81.
27
Let y be ((-10)/6)/(-5 - (-84)/18). What is the greatest common divisor of 85 and y?
5
Let p(u) = u**2 - 5*u - 4. Let w be p(7). Suppose w*x - 4*x = 264. What is the greatest common divisor of x | {
"pile_set_name": "DM Mathematics"
} |
t is the greatest common factor of j and z?
10
Let d be 0 + (3 - 5) + 233. What is the highest common divisor of d and 21?
21
Let a(q) = 3*q**2 + 0 - 1 - 1 + q + 0. Let f be a(-2). Calculate the greatest common divisor of f and 24.
8
Let x be ((-5)/(-15))/(4/144). What is the greatest common factor of x and 20?
4
Let m = 99 + -43. What is the highest common factor of 7 and m?
7
Let g(d) = -3*d - 1. Let r be g(-1). Let v = 3 + r. Suppose -2*u + v*u - 512 = -4*p, -2*u + 5*p = -326. Calculate the greatest common factor of u and 21.
21
Let m = 168 - 68. What is the highest common divisor of 20 and m?
20
Let k(a) = -a**2 - 9*a + 6. Let c be k(-5). What is the greatest common divisor of c and 234?
26
Suppose 464 = 5*a - 61. What is the greatest common divisor of 21 and a?
21
Suppose 0*m + 13 = m. Let j = m - -11. Let y = 1 - -2. Calculate the greatest common factor of j and y.
3
Let t = 11 + -8. Suppose 12 = z - 2*g, -t*g - 20 = -3*z + 7. Let y(d) = d**3 - 4*d**2 - 5*d + 2. Let f be y(z). What is the greatest common factor of 11 and f?
11
Let c be (36/(-10))/(2 - (-46)/(-20)). Let w be (12/(-3))/(1 - 2). Calculate the greatest common factor of w and c.
4
Let w = 23 + 12. What is the greatest common divisor of 245 and w?
35
Let b(p) = p**2 + p + 10. Let f be b(-10). Suppose 4*g = -3*c - 2*c + f, -4*c = g - 80. Calculate the greatest common divisor of c and 10.
10
Let f = 382 + -261. Calculate the highest common factor of 11 and f.
11
Let w(x) = 3*x**2 + 2*x + 2. Let a be w(-3). Calculate the highest common divisor of a and 115.
23
Let x(t) = t**3 - 4*t**2 + 3*t - 13. Let y be x(6). What is the highest common factor of y and 11?
11
Let p(k) = -7*k + 7. Let z be p(-5). Suppose 1 = -4*u + 9. Let c be (-5)/(5/u) + 16. What is the highest common factor of c and z?
14
Let z(p) = -p**2 + 9*p + 6. Let d be z(9). Suppose 4*y - 78 = -402. Let c = -27 - y. Calculate the highest common divisor of c and d.
6
Suppose -2*l = 5*s - 10, 3*s + 2*l - 3*l - 17 = 0. What is the greatest common factor of s and 10?
2
Let b = 39 - -49. What is the highest common divisor of b and 8?
8
Suppose 369 = 3*p - 2*l, -p - l + 44 = -79. Let i = 222 - p. What is the greatest common divisor of 9 and i?
9
Suppose 2468 = 7*u + 389. What is the greatest common divisor of u and 11?
11
Let u = -7 - -29. Let j = -12 + u. Let v = -2 + 6. Calculate the greatest common divisor of v and j.
2
Let z be 49*(2 + -1) - (0 + -2). Calculate the highest common factor of z and 34.
17
Let i be (360/70)/((-2)/(-21)). What is the greatest common divisor of i and 12?
6
Suppose 0 = 3*u - u + 12. Let n be 59/3 + (-2)/u. Suppose -2*k + 40 = 2*k. What is the greatest common factor of k and n?
10
Let k = 20 - 14. Let j be k/27 + 58/(-18). Let r(w) = -7*w. Let x be r(j). Calculate the highest common factor of x and 7.
7
Suppose -3*z - 30 = -2*f, -3*z = f + 3*f + 12. Let d = 6 + z. Let x(m) = -2*m**3 - 3*m**2 - 3*m. Let k be x(d). What is the highest common factor of k and 10?
10
Suppose -4*u + 1 = -r - 2, -6 = 2*u + 2*r. Suppose 3*k - 27 - 9 = u. Let v be (2 - 2) + (-120)/(-4). Calculate the highest common divisor of v and k.
6
Let z = 15 + -9. Let f be -1*(2/(-1) + -3). Suppose f*g = 10 + 10. What is the highest common factor of z and g?
2
Suppose -3*q - 11 = -17. Calculate the greatest common divisor of q and 8.
2
Let o(d) = -d**3 - 7*d**2 + 5*d - 4. Let p be o(-8). Calculate the highest common factor of 100 and p.
20
Let g(v) = -v + 4. Let m be g(3). Let b = m + 1. Calculate the highest common divisor of b and 14.
2
Let g = 21 + -19. Suppose 0 = g*z + 2, z - 3*z = 5*b - 73. Calculate the highest common factor of 45 and b.
15
Let r = -13 - -21. Calculate the highest common divisor of 12 and r.
4
Suppose z + z + u = 7, -5*z - 3*u + 15 = 0. What is the greatest common divisor of z and 24?
6
Suppose 64 = 3*j + 13. Calculate the greatest common divisor of j and 17.
17
Let l = -1 - -2. Let y = 5 - 1. Suppose y*p + 18 = 2*p + 4*d, 10 = 2*d. Calculate the highest common factor of p and l.
1
Let u = -11 - -14. Suppose -u = -3*o + 99. Calculate the greatest common factor of o and 17.
17
Let m(i) = 2*i**2 + 25*i + 2. Let r be m(-13). Calculate the highest common divisor of 30 and r.
15
Suppose -d = -5, 2*o + 0*o = d + 5. Calculate the greatest common factor of 5 and o.
5
Suppose 0 = -2*s - 84 + 260. What is the highest common factor of s and 11?
11
Let g = 6 + -8. Suppose -3*q + 8 = -7. Let z be ((-4)/2)/(g/q). Calculate the highest common factor of z and 55.
5
Let f(c) = 24*c**2 - 1. Let o be f(-1). What is the highest common factor of 69 and o?
23
Let t be (36/(-10))/(18/120). Let h be 3/(-2)*16/t. What is the highest common factor of h and 1?
1
Let s = 20 - 6. Suppose -3*d - 4*b = -5*b - 2, -5*b = -3*d - 14. What is the greatest common divisor of s and d?
2
Let h be (2 + -3 + 2)*38. Suppose h = 3*p + 14. Calculate the highest common divisor of 8 and p.
8
Suppose -2*m - 2 = -8. Suppose 43 = m*p + 7. Suppose r - 3*n = -4*n + 26, -76 = -2*r + 4*n. Calculate the highest common divisor of p and r.
6
Let j(y) = 14*y - 6. Let z be j(4). What is the greatest common divisor of z and 20?
10
Suppose -3*i + 16 = -2*z, 10 = 2*i - 0*z - z. Let f be (-624)/(-9) - i/(-6). Calculate the highest common divisor of 14 and f.
14
Suppose c = 2*g + 10 + 21, g = -2. Let j = c - 5. Let s be j/(-6)*6*-5. Calculate the greatest common factor of 10 and s.
10
Let q = -911 + 645. Let g be -2 + (0/(-2) - q). Let n be (g/16)/((-6)/(-40)). What is the highest common factor of 10 and n?
10
Suppose 0 = -2*t + 322 + 414. What is the highest common factor of t and 46?
46
Let r be 50/(-15) - 1/(-3). Let x = r + 4. Let p(s) = s**2 - 9*s - 14. Let m be p(11). What is the greatest common divisor of x and m?
1
Let i(w) = w**2 + 9*w + 9. Let b be i(-8). Let j be 2/6*6/b. Suppose 1 = -t + j. Calculate the highest common divisor of t and 1.
1
Let h = -3 - -157. What is the greatest common factor of h and 14?
14
Let g be (-2)/(-5) + (-1008)/(-30) + -4. Let x be 1*(-1 - 0/1). Let r(u) = -6*u**3. Let w be r(x). What is the greatest common divisor of w and g?
6
Suppose 0 = -q - q + 364. Suppose -v = -3*v + q. Calculate the highest common divisor of v and 13.
13
Let a be (-145)/4*-1 - (-11)/(-44). Calculate the highest common divisor of 90 and a.
18
Let d be -3*(-12)/(-54)*-264. What is the greatest common factor of d and 22?
22
Let c(x) = 2*x**2 + 8*x + 1. Suppose 2*o + 1 = -27. Let f = o - -20. Let y be c(f). What is the highest common factor of y and 11?
11
Let r(m) = m**3 - 4*m**2 + m. Let o be r(4). Suppose 0 = -0*s + o*s + 4*j - 12, 2*j = -3*s + 10. What is the greatest common factor of s and 4?
4
Suppose -q + 5*q = 320. Suppose 0*u = 3*u - 3*h - 102, -58 = -2*u - 3*h. What is the highest common factor of u and q?
16
Let k = 65 + -47. What is the greatest common divisor of 36 and k?
18
Let w = -12 + 20. Let u = 56 + 8. What is the highest common factor of u and w?
8
Suppose 0 = -5*r + 7*r - 26. What is the highest common divisor of r and 13?
13
Let u = -41 + 68. What is the highest common factor of u and 3?
3
Let p be 75/27 + -3 - 83/(-9). What is the greatest common factor of p and 9?
9
Suppose 2*b - w - 6 + 2 = 0, 0 = -5*w + 10. Suppose -b*y + 129 = 3*h, 0 = -5*y - 0*h + 3*h + 255. What is the highest common factor of 6 and y?
6
Let b(f) = -f**3 - 2*f**2 + 2*f + 3. Let p be b(-3). Let h be (2*-53)/(-6 - -5). Suppose h = 4*w + 34. What is the highest common divisor of w and p?
6
Suppose -4*l + 21 = -7. Let b(c) = c**2 - 4*c - 4. Let m be b(5). What is the greatest common factor of l and m?
1
Suppose 3*b + 16 = -c, 5*b + 15 = -4*c - 0*c. Let l(p) = -9 - 4*p - 1 + p. Let z be l(b). Calculate the greatest common factor of z and 44.
11
Let q = 2 - -8. Let a(n) = 3*n + 7. Let p be a(6). What is the highest common factor of p and q?
5
Let t be (3 + (-183)/15)*-5. Calculate the greatest common factor of 506 and t.
46
Let w be 0 + (-2 - -1) + 1. Suppose 476 = -w*k + 4*k. What is the greatest common divisor of k and 17?
17
Suppose 0 = -2*g - 4*n + 58, 4*n + 42 + 15 = 3*g. What is the highest common divisor of g and 161?
23
Let z = -118 - -125. What is the highest common divisor of z and 49?
7
Let y be 2 + -453*(-2)/3. Suppose q - y = -q. Suppose -4*j + 68 = -q. Cal | {
"pile_set_name": "DM Mathematics"
} |
4996.
-3*(c - 2361)*(c - 12)*(c + 1)
Factor 2*x**2/3 + 4340*x/3 + 5776.
2*(x + 4)*(x + 2166)/3
Factor -3*l**2 - 10107*l - 70602.
-3*(l + 7)*(l + 3362)
Factor 5*s**2 + 7315*s - 29340.
5*(s - 4)*(s + 1467)
Factor 15*r**3 + 85*r**2 - 540*r - 3060.
5*(r - 6)*(r + 6)*(3*r + 17)
Find o, given that -4*o**5 - 25772*o**4 - 41136812*o**3 + 1209667676*o**2 - 8173747680*o - 9424526400 = 0.
-3236, -1, 15
Determine r, given that -4*r**2 - 1448*r - 92628 = 0.
-279, -83
Determine p, given that -p**5/4 - 355*p**4/2 + 84613*p**3/4 - 1147817*p**2/2 - 638253*p + 1191186 = 0.
-817, -2, 1, 54
Find t, given that -2*t**3 - 606*t**2 - 37228*t - 36624 = 0.
-218, -84, -1
Determine z so that 20*z**4 + 9145*z**3 - 63555*z**2 - 424780*z - 102080 = 0.
-464, -4, -1/4, 11
Determine f, given that 4*f**4/7 + 68*f**3/7 + 164*f**2/7 - 548*f/7 + 312/7 = 0.
-13, -6, 1
Factor -5*f**2 - 5715*f.
-5*f*(f + 1143)
Determine v so that 14*v**4/3 - 456*v**3 - 15512*v**2/3 - 1440*v = 0.
-10, -2/7, 0, 108
What is y in -45*y**4 + 2820*y**3 - 14135*y**2 - 22660*y - 7980 = 0?
-2/3, 7, 57
Solve 52*p**3/9 - 168*p**2 + 10724*p/9 - 272/3 = 0.
1/13, 12, 17
Factor 116*k**2 - 42680*k - 2944.
4*(k - 368)*(29*k + 2)
Factor 4*b**2 - 2868*b + 5720.
4*(b - 715)*(b - 2)
Solve -2*c**3 - 108*c**2 - 930*c + 15376 = 0.
-31, 8
Factor -2*d**2/3 + 3880712*d/3 - 1882490703368/3.
-2*(d - 970178)**2/3
Determine d so that 2*d**2/7 - 568*d/7 - 2496 = 0.
-28, 312
Solve m**3/7 + 533*m**2 + 3496819*m/7 + 31169889/7 = 0.
-1861, -9
Determine l, given that -l**2/4 - 31301*l/2 - 979752601/4 = 0.
-31301
Factor -u**3 - 219*u**2 + 888*u + 1686608.
-(u - 77)*(u + 148)**2
What is x in -10*x**5 + 262*x**4 - 1602*x**3 - 3190*x**2 + 30700*x - 6000 = 0?
-4, 1/5, 5, 10, 15
What is w in -2*w**3/7 - 90672*w**2/7 - 1027676448*w/7 = 0?
-22668, 0
Determine k, given that k**4/5 - 377*k**3/5 - 1967*k**2/5 + 21873*k/5 - 37818/5 = 0.
-11, 3, 382
Factor 3*h**2 - 3740976*h + 1166241786048.
3*(h - 623496)**2
Factor -5*u**5 - 90*u**4 - 160*u**3.
-5*u**3*(u + 2)*(u + 16)
Factor 2*r**3/3 + 13164*r**2 + 64970920*r - 389983504/3.
2*(r - 2)*(r + 9874)**2/3
Let 4*a**4 - 12*a**3 - 480*a**2 + 496*a + 960 = 0. Calculate a.
-10, -1, 2, 12
Factor -d**2/5 - 28018*d/5 - 28017/5.
-(d + 1)*(d + 28017)/5
Solve -2*n**5 - 38*n**4 + 254*n**3 + 278*n**2 - 1452*n - 1440 = 0 for n.
-24, -2, -1, 3, 5
Let -4*h**4 + 3820*h**3 - 921524*h**2 + 4535300*h - 5415000 = 0. Calculate h.
2, 3, 475
What is b in 2*b**4/3 - 988*b**3/9 - 62680*b**2/9 - 833872*b/9 + 64896 = 0?
-26, 2/3, 216
Find w, given that -4*w**4/9 + 20*w**3/9 + 88*w**2/9 + 64*w/9 = 0.
-2, -1, 0, 8
Determine p so that 20*p**5 + 48716*p**4 - 58484*p**3 + 9748*p**2 = 0.
-2437, 0, 1/5, 1
Factor 3*w**3 + 23344*w**2/3 - 5188*w/3.
w*(w + 2594)*(9*w - 2)/3
What is b in -b**2/4 + 8271*b - 68409441 = 0?
16542
Let -10*y**2/3 + 42344*y/3 - 16936/3 = 0. What is y?
2/5, 4234
Suppose 2*s**3 - 10610*s**2 - 95696*s + 233816 = 0. What is s?
-11, 2, 5314
Determine u so that -5*u**4 - 1155*u**3 - 85745*u**2 - 1999725*u + 4351750 = 0.
-103, -65, 2
Find m such that 25*m**3/6 + 1015*m**2/2 - 5447*m/2 + 21463/6 = 0.
-127, 13/5
Let 4*r**2/3 - 71624*r/3 + 320624836/3 = 0. What is r?
8953
Suppose -b**5/5 + 4*b**4 + 358*b**3/5 + 844*b**2/5 - 357*b/5 - 864/5 = 0. What is b?
-9, -3, -1, 1, 32
Factor -4*t**2 + 2800*t + 19796.
-4*(t - 707)*(t + 7)
Solve 2*m**2/13 - 4566*m/13 - 18296/13 = 0 for m.
-4, 2287
Suppose -4*i**3 + 2516*i**2 - 404300*i + 2708188 = 0. What is i?
7, 311
Suppose 82*d**4 + 396*d**3 - 2568*d**2 + 2896*d = 0. Calculate d.
-362/41, 0, 2
Factor -3*l**2/8 + 216315*l/8 - 324459/4.
-3*(l - 72102)*(l - 3)/8
Suppose -28*k**5 - 680*k**4 + 256*k**3 + 10880*k**2 + 3072*k = 0. What is k?
-24, -4, -2/7, 0, 4
Factor -3*j**2 - 25110*j - 75303.
-3*(j + 3)*(j + 8367)
Factor 2*n**4 + 696*n**3 + 63924*n**2 + 585416*n + 1199562.
2*(n + 3)*(n + 7)*(n + 169)**2
Find j, given that 4*j**3/5 - 808*j**2/5 + 6796*j - 33176/5 = 0.
1, 58, 143
Suppose -5*x**3/4 - 999*x**2/2 - 49800*x + 20000 = 0. Calculate x.
-200, 2/5
Determine f so that f**3 - 3194*f**2/3 + 5317*f/3 - 2126/3 = 0.
2/3, 1, 1063
Let -5*c**2 - 82845*c = 0. What is c?
-16569, 0
Find s such that 6*s**3/7 - 174954*s**2/7 - 524904*s/7 - 49992 = 0.
-2, -1, 29162
Factor 378*t**3 + 10581*t**2 + 19572*t - 156.
3*(t + 2)*(t + 26)*(126*t - 1)
Determine h, given that -5*h**3 - 10495*h**2 - 10490*h = 0.
-2098, -1, 0
Let -3*i**5/2 - 2545*i**4/2 - 270088*i**3 - 89888*i**2 = 0. Calculate i.
-424, -1/3, 0
Let 4*q**3/7 + 7404*q**2/7 = 0. What is q?
-1851, 0
Solve -4*m**4 - 280*m**3 - 4992*m**2 + 20056*m + 814660 = 0.
-35, -23, 11
Find h such that 5*h**5 + 1965*h**4 - 32735*h**3 - 5905*h**2 + 94230*h + 65440 = 0.
-409, -1, 2, 16
Suppose 3*c**2 + 773064*c + 49802329008 = 0. What is c?
-128844
Suppose -2*h**4/5 - 596*h**3/5 - 2946*h**2/5 - 4696*h/5 - 2344/5 = 0. Calculate h.
-293, -2, -1
What is u in -3*u**2/5 + 477*u - 18888/5 = 0?
8, 787
Let 4*i**2 + 1784*i - 103584 = 0. What is i?
-498, 52
Factor 3*d**4 + 138*d**3 - 8121*d**2 + 30732*d - 30132.
3*(d - 31)*(d - 2)**2*(d + 81)
What is g in g**4 - g**3 - 327*g**2 + 973*g - 646 = 0?
-19, 1, 2, 17
Let -2*z**3 + 24826*z**2 - 77028870*z - 77053698 = 0. What is z?
-1, 6207
Find z, given that z**5 + 155*z**4/2 + 813*z**3/2 + 1529*z**2/2 + 1229*z/2 + 180 = 0.
-72, -5/2, -1
Determine o, given that o**4 - 1400*o**3 + 520613*o**2 - 21083134*o = 0.
0, 46, 677
Suppose 2*z**2 + 41224*z + 212427272 = 0. Calculate z.
-10306
Suppose 22*k**4/3 + 67*k**3/3 + 23*k**2 + 25*k/3 + 1/3 = 0. What is k?
-1, -1/22
Let -2*m**5/3 + 1566*m**4 - 2742400*m**3/3 - 19389848*m**2/3 - 7426112*m + 44405888/3 = 0. Calculate m.
-4, 1, 1178
Factor -15*x**3 - 414*x**2 + 3327*x + 2142.
-3*(x - 7)*(x + 34)*(5*x + 3)
Let -4*h**2 - 175256*h - 350496 = 0. What is h?
-43812, -2
What is r in 2*r**2 - 213290*r - 213292 = 0?
-1, 106646
Factor 2*f**2 - 59430*f - 118868.
2*(f - 29717)*(f + 2)
Solve -2*i**5/9 + 58*i**4/9 - 626*i**3/9 + 1018*i**2/3 - 708*i + 432 = 0 for i.
1, 4, 6, 9
Factor u**2/2 - 144051*u/2.
u*(u - 144051)/2
Determine s so that -2*s**5 + 146*s**4 + 2236*s**3 = 0.
-13, 0, 86
Find g such that -4*g**2/5 + 17244*g/5 + 17248/5 = 0.
-1, 4312
Suppose f**2/8 - 3653*f/8 + 93135/2 = 0. What is f?
105, 3548
Factor 3*t**4 - 9588*t**3 + 7641600*t**2 + 30720000*t.
3*t*(t - 1600)**2*(t + 4)
Factor 3*s**3 + 1050*s**2 - 6393*s + 5340.
3*(s - 5)*(s - 1)*(s + 356)
Let -2*q**2/7 - 1210*q/7 + 2428/7 = 0. What is q?
-607, 2
Factor a**4/5 - 2031*a**3/5 + 1019979*a**2/5 + 11466851*a/5.
a*(a - 1021)**2*(a + 11)/5
Solve -2*u**3 - 3734*u**2/7 - 247432*u/7 + 71000/7 = 0 for u.
-142, -125, 2/7
Solve 10*l**5 - 319*l**4 - 4662*l**3 - 4763*l**2 - 430*l = 0 for l.
-10, -1, -1/10, 0, 43
Factor 5*l**2 - 2965*l - 667290.
5*(l - 767)*(l + 174)
Factor -5*b**3 + 1090*b**2 - 5295*b - 6390.
-5*(b - 213)*(b - 6)*(b + 1)
Suppose j**3/7 + 60*j**2/7 - 12556*j/7 = 0. Calculate j.
-146, 0, 86
Factor -5*y**3 - 281660*y**2.
-5*y**2*(y + 56332)
Let 4*l**2 + 1472*l - 377232 = 0. Calculate l.
-542, 174
Determine p so that -p**3/9 + 18437*p**2/9 - 28323841*p/3 - 9443329 = 0.
-1, 9219
Factor 2*c**2 - 68*c - 322630.
2*(c - 419)*(c + 385)
Factor -5*q**2 - 274530*q - 3768336045.
-5*(q + 27453)**2
What is u in u**2 + 49359*u - 49360 = 0?
-49360, 1
Suppose -3*o**2/4 + 25685*o/2 + 8562 = 0. What is o?
-2/3, 17124
Determine f so that 3*f**4/2 + 57*f**3/2 + 75*f**2 + 48*f = 0.
-16, -2, -1, 0
Determine i, given that -237*i**5/7 + 2840*i**4/7 - 4218*i**3/7 - 33252*i**2/7 + 4897*i + 84 = 0.
-3, -4/237, 1, 7
Suppose 23*i**3/5 + 4118*i**2/5 + 4273*i/5 + 178/5 = 0. What is i?
-178, -1, -1/23
Find s, given that 3*s**3 - 15546*s**2 + 217011*s + 232560 = 0.
-1, 15, 5168
Find j such that -11*j**4/6 + 1465*j**3/6 + 84929*j**2/6 + 68231*j/6 - 2537 = 0.
-43, -1, 2/11, 177
What is k in 76*k**2 - 278*k - 104 = 0?
-13/38, 4
Factor -33*j**3 + 93*j**2 + 18*j.
-3*j*(j - 3)*(11*j + 2)
Find p, given that -16*p**3 + 583*p**2 - 5436*p + 2268 = 0.
7/16, 18
Determine o so that o**2/9 - 4646*o/9 = 0.
0, 4646
Let -u**5 - 6*u**4 + 224*u**3 - 1056*u**2 + 1280*u = 0. What is u?
-20, 0, 2, 4, 8
Factor 3*v**3/7 + 42*v**2 - 20175*v/7 + 39150/7.
3*(v - 45)*(v - 2)*(v + 145)/7
Suppose -3*g**2/5 - 888*g/5 - 873 = 0. What is g?
-291, -5
Factor -2*s**2 + 1510*s + 6072.
-2*(s - 759)*(s + | {
"pile_set_name": "DM Mathematics"
} |
= 3*h + f, -369 = -3*r - 5*h. Suppose -l - 69 = -5*m + 68, -r = -4*m + 5*l. What is the tens digit of m?
2
Suppose 5*w - 422 = -f + 3862, 0 = -5*w - 2*f + 4283. What is the units digit of w?
7
Let y(x) = -11*x - 1. Let t be y(-4). Suppose -3*i - t = -160. Let b = i + -23. What is the units digit of b?
6
Suppose -2*h - 74 = 5*c + h, 4*h - 8 = 0. What is the units digit of (116/c + 2)*-4?
1
Let h(k) be the second derivative of -k**4/12 - k**3/6 - 45*k**2 + 3*k. Let u be h(0). What is the units digit of (-16)/(-3)*u/(-24)?
0
Let d = -79 - -76. Let f(c) = -c**3 + 1 - 4*c**2 + 4*c + 3*c**2 + 4 - 2. What is the units digit of f(d)?
9
Suppose 0 = -3*i + 9, 4*i + 2 = 3*v - 1. Suppose 0 = h - 3*w - 81, 0*h + v*w = -5*h + 325. What is the tens digit of h?
6
Suppose -s = -4, g = -4*s + 51 + 4. Suppose m - 89 = g. What is the tens digit of m?
2
Let f(j) = -26*j - 8. Let i be f(-4). Suppose -3*k + 4*q - 2*q = -264, i = k + 2*q. What is the tens digit of ((-5)/(-2))/(9/k)?
2
Let i(b) = b + 48. Let a be i(0). Suppose j = -j + a. Suppose 3*c - j = -0*c - y, -3*c + 2*y = -24. What is the units digit of c?
8
Let r be 2/((-1)/62*-2). Let c be (15 - 0)*(-59)/(-295). Suppose -2*g + 69 = -s, r = 2*g + c*s - 3. What is the tens digit of g?
3
Let a(s) be the first derivative of 11*s**4/4 + s**3/3 - s + 5. Let m be a(1). Suppose -10*v = -m*v + 46. What is the units digit of v?
6
Let q = 40 - 7. Let y(t) = -2*t - 1. Let b be y(1). Let n = q + b. What is the units digit of n?
0
Suppose 134 = 5*o + 4*g, 0 = 5*o + 4*g - g - 133. Suppose -5*x + 3*x = 5*d + 40, o = -d - 4*x. What is the units digit of d/8 + 150/40?
3
Let l be 6/10 - (-148)/20. Let j = 19 + l. Let g = j - -5. What is the tens digit of g?
3
Suppose 0 = -16*d + 4122 + 422. What is the tens digit of d?
8
What is the hundreds digit of 1 - 9 - (-660 + -4)?
6
Let o(n) = -2*n**3 + 5*n**2 + 12*n - 5. Let v be o(5). Let d = -116 - v. Let u = 79 + d. What is the units digit of u?
3
Suppose i + 7 = -4*j, 3*i - 5*j + 3*j = -7. Let r(o) = 5*o**2 - 5*o - 3. What is the units digit of r(i)?
7
Suppose -o - x = -6*x + 18, -42 = 4*o - 5*x. Let r(k) = -k + 1. What is the units digit of r(o)?
9
Let w = 16 + -22. What is the units digit of (4/w)/((-6)/360)?
0
Suppose -6*p + 9302 = -4066. What is the tens digit of p?
2
Suppose -2876 = -46*l + 169440. What is the units digit of l?
6
Let w(c) = 2*c**3 - 5*c + 4. Let x be w(3). Suppose 3*t + x = 2*t. Let q = t + 68. What is the units digit of q?
5
Let v be (-22)/2*(1 + 2*-3). Let i = 86 - v. What is the units digit of i?
1
Suppose -2*w = 2*w + 44. Let i = w - -32. What is the tens digit of i?
2
Let h(w) = 211*w. What is the hundreds digit of h(1)?
2
Suppose 42 = 4*p + 78. Let m(n) = -5*n + 0*n - 10 + 2*n. What is the tens digit of m(p)?
1
Suppose 22 - 6 = 2*y. Suppose -3*w = -y*w - 285. Let n = w + 110. What is the tens digit of n?
5
Let m(a) = 2*a**3 + 54*a**2 - 23*a + 3. What is the hundreds digit of m(-27)?
6
Let v(x) = 405*x**2 + 8*x + 9. What is the hundreds digit of v(-2)?
6
Let u(g) = 2*g**2 - 12*g + 10. Let z be u(12). Suppose 3*k - 107 = 5*b, -2*b + b - z = -4*k. Let o = -21 + k. What is the tens digit of o?
1
Suppose 5*o = -j - 125 + 1118, -o = 2*j - 195. What is the hundreds digit of o?
1
Let t be 4 + -1 + -3 + -67. Let h = t - -245. What is the tens digit of h?
7
Let b(j) = 2131*j + 10. What is the hundreds digit of b(1)?
1
Suppose b - 206 = 4*s - 0*s, 5*s + 266 = -3*b. Let u = -30 - s. Suppose -x - 72 = -5*j, x = j - 3*x - u. What is the tens digit of j?
1
Suppose -881 = -3*c + 604. What is the hundreds digit of c?
4
Suppose -b + 5*b = 68. Suppose -56 = 4*k - 5*l, -2*k + 3*l - 19 = 7. Let y = b - k. What is the tens digit of y?
3
Suppose -5*q + 4 + 16 = 0. Suppose q*b = 269 - 69. What is the units digit of 280/b - (-4)/10?
6
Let q = 108 - 103. Let r(m) = -m - 1. Let z be r(-6). Let l = z + q. What is the tens digit of l?
1
Let s(m) = -5*m + 61. Let r be s(10). Let h(t) = 8*t + 37. What is the units digit of h(r)?
5
What is the tens digit of -115*2655/225*(-1 - 0)?
5
Let k(l) = -l**2 - 12*l - 29. Let v be k(-4). Suppose -t + 13 = -1. What is the tens digit of t - 6/v - -2?
1
Let f = 5164 - 3636. What is the units digit of f?
8
Let y be (3 + -11)*1*1. What is the units digit of -5*y*3/15?
8
Suppose 30*q = -34*q + 89856. What is the hundreds digit of q?
4
Let s(u) be the first derivative of u**3/6 + 7*u + 1. Let d(p) be the first derivative of s(p). What is the units digit of d(4)?
4
Let r be -19*40/12*-6. Suppose -4*z + 0*f - 3*f = -r, f = -4*z + 388. What is the units digit of z?
8
Let j = 85 - 51. Suppose -41 = -5*s + j. What is the units digit of (-3)/s - (-31)/5?
6
Suppose 9 = 3*c - 0*c. Suppose c*h + 30 - 84 = 0. What is the tens digit of h?
1
Let d(z) = 72*z**2 + 22*z - 111. What is the tens digit of d(4)?
2
Let n be 7/3 + (-62)/(-93). Let s(d) = 35*d**2 + 4*d - 2. What is the hundreds digit of s(n)?
3
Let t(b) = 2*b + 13. Suppose -2*i + i = 6. Let h be t(i). What is the units digit of 38/10 - h/(-5)?
4
Suppose 47*t - 51647 - 56030 = 0. What is the tens digit of t?
9
Let b(x) = 56*x + 15. Let h(o) = -14*o - 4. Let v(m) = 2*b(m) + 9*h(m). What is the units digit of v(-2)?
2
Suppose -3*d = -2*x - 145, 3*d + 17*x = 13*x + 151. What is the units digit of d?
9
Suppose -5*h - 16 = -0*q + q, 4*q - 4*h - 32 = 0. Let y be -1*(-4 - (3 - 2)). Let z = q + y. What is the units digit of z?
9
Suppose 0 = 19*s - 16801 - 5961. What is the tens digit of s?
9
Suppose -20 + 2 = -2*u. Suppose -4*z = u - 21. Suppose n = z*n - 16. What is the units digit of n?
8
Let n(i) = -i**2 + 3*i - 3. Let f be 1*(1 - 4/(-4)). Let d be n(f). What is the units digit of 66 - (d + (-15)/5)?
0
Let f(t) = -2*t**2 + 4*t - 31. Let c be f(6). What is the units digit of c/((-32)/6 + 5)?
7
Let v be ((-15)/(-3) - 2) + 89. Let x = v + -55. What is the units digit of x?
7
Suppose -4*j + 3*b = 7*b - 40, j - 8 = -2*b. What is the units digit of j?
2
Let q = -2093 - -3509. Suppose 6*r - q = -6*r. What is the hundreds digit of r?
1
Let u(d) = 3*d**2 - 10*d - 4. Let a be u(-5). Suppose 4*y = 25 - 5, -y + a = 4*p. What is the units digit of p?
9
Let d be (-80)/64 - (-74)/8. What is the units digit of d/6*27/18?
2
Suppose -10*i + 8*i - 16 = 0. Let u be (i/7)/((-4)/14). What is the units digit of ((-10)/u + 0)*-2?
5
Let r = 9 + -7. Let m = -1 + r. Let p = m - -2. What is the units digit of p?
3
What is the units digit of (-9)/(63/2) - (-4176)/14?
8
Let l(s) = 933*s + 63. What is the hundreds digit of l(1)?
9
Suppose 235 = 2*g + 4*z - 59, 4*g = -5*z + 600. What is the tens digit of g?
5
Let u = -30 - -29. Let i be (-4 - u)*(-2)/3. What is the units digit of (-135)/i*6/(-9)?
5
Let i(w) = -w**2 - 9*w. Let y be i(-8). Let s(j) = j**2 - 3*j + 8. Let a be s(y). Suppose -f + 31 = -3*m, -2*f - 4*m + a = -3*m. What is the units digit of f?
5
Let h(n) = -6*n**3 + 5*n**2 + n - 3. What is the units digit of h(-4)?
7
Let m = -62 + -23. Let l = 123 + m. What is the units digit of l?
8
Let i be (1 + -28)/((-5)/(-15)). Let x = i + 145. Let r = -23 + x. What is the units digit of r?
1
Let r = 41 - 29. Let m(g) = 0*g + 2*g + r + 0*g - 3*g. What is the units digit of m(5)?
7
Let j(t) = 29*t**2 + t + 22. What is the thousands digit of j(6)?
1
Let n(m) = -10*m - 95. What is the units digit of n(-20)?
5
What is the tens digit of 1414 - ((-5 - 4) + 7)?
1
Let l = -62 + 1119. What is the thousands digit of l?
1
Let f be ((-255)/(-12))/((-1)/4). Let q = f - -130. What is the units digit of q?
5
Let p(v) = -5*v - 3. Let b(a) = 3*a + 2. Let d be b(-1). Let h be (16/12)/(d/3). What is the tens digit of p(h)?
1
Suppose 11*d + 1 = 1. Suppose d = 5*x - g - 297 - 693, -4*x = 4*g - 792. What is the hundreds digit of x?
1
Let x(o) = o**3 + 6*o**2 + 5*o - 2. Let f be x(-6). Let i = f - -64. What is the units digit of i?
2
Let y(h) = 10*h**2 - 86*h + 6. What is the thousands digit of y(17)?
1
Let j be 1 - 4*(-4 + 2). Suppose j*r = 277 + 110. What is the units digit of r?
3
Let b(f) = 17*f**2 + 3*f + 6. Let d(t) = -6*t**2 - t - 2. Let a(j) = 4*b(j) + 11*d(j). Let c(l) = l + 3. Let k be c(-5). What is the units digit of a(k)?
8
Let w(k) = -k**2 + 38*k - 31. Let c be w(37). Let h(b) be the first derivative of b**3 - 7*b**2/2 - b + 2. What is the tens digit | {
"pile_set_name": "DM Mathematics"
} |
6*o + 14 + 12*o + 29*o**2 + 14*o wrt o.
58*o
Let q be 1/(-1) + 8/2. Differentiate 0 + 2*r**3 - 3*r**q + 5 wrt r.
-3*r**2
What is the first derivative of -24 + b**2 - b**2 + 22*b**4 + 38 wrt b?
88*b**3
What is the first derivative of -368*v**3 - 1 + 369*v**3 + 6 wrt v?
3*v**2
Let w(h) = -h**3 - 4*h**2 - 4*h. Let i be w(-3). What is the third derivative of 9*y**3 - 5*y**i + 3*y**2 - 9*y**3 wrt y?
-30
Let k(l) = -l + 7. Let f be k(11). Let w(u) = -u**2 - 3. Let d(r) = -r**2. Let y(v) = f*d(v) - w(v). Differentiate y(n) with respect to n.
10*n
Let g(y) be the second derivative of -33*y**5/20 + 37*y**2/2 - 49*y. Differentiate g(x) with respect to x.
-99*x**2
Let q(b) = 8*b**5 + 4*b**2 - 15*b + 4. Let u(n) = 8*n**5 + 3*n**2 - 16*n + 3. Let c(m) = 3*q(m) - 4*u(m). What is the second derivative of c(o) wrt o?
-160*o**3
Let y be 3/6 - (-14)/4. Let q be y*(6/4)/3. What is the third derivative of 3*g**q + 11*g - 11*g - 3*g**3 wrt g?
-18
Let w(s) be the first derivative of -3*s**8/56 + s**4/4 + 2*s + 3. Let k(q) be the first derivative of w(q). Find the third derivative of k(v) wrt v.
-360*v**3
Let h(v) = -4*v**4 - 3*v**2 + 10*v. Let l(p) = -5*p**4 - 2*p**2 + 11*p. Let c(q) = -2*h(q) + 3*l(q). What is the second derivative of c(a) wrt a?
-84*a**2
Let w(j) be the first derivative of 3 + j**3 - 3/2*j**2 + 0*j. Find the second derivative of w(n) wrt n.
6
Let v be (-90)/(-40) + (-3)/(-4). Find the second derivative of s**5 - v*s**5 - s - s**5 wrt s.
-60*s**3
Differentiate -9 - 239*g**3 + 3*g**4 + 239*g**3 with respect to g.
12*g**3
Find the first derivative of 53*t**4 - 13 - 40*t**4 - 39*t**4 wrt t.
-104*t**3
Let v(i) be the second derivative of i**5/2 + 11*i**4/12 - 5*i. Find the third derivative of v(b) wrt b.
60
Let q(f) = -4*f**2 - 3*f - 6. Suppose r - 5 + 2 = 0. Let j(x) = -7*x**2 - 5*x - 11. Let h(p) = r*j(p) - 5*q(p). Differentiate h(l) with respect to l.
-2*l
Let l(a) = -a**3 + a**2. Let v(r) = -8*r**4 - 2*r**3 + 2*r**2 - 15. Let w(h) = 2*l(h) - v(h). What is the derivative of w(y) wrt y?
32*y**3
Suppose 1 = -2*m - 3*b + 10, -4*b - 8 = -4*m. Suppose m*y - 2 = 2*y. What is the third derivative of 6*o**2 - 2*o**3 - 5*o**2 - y*o**2 wrt o?
-12
Let m(h) be the second derivative of -7*h**6/30 - 11*h**3/6 + h. What is the second derivative of m(p) wrt p?
-84*p**2
Let b = 14 + -10. What is the third derivative of b*n**5 + 2*n**2 - 5*n**2 + 0*n**2 wrt n?
240*n**2
Suppose 5*p = 3*a - 11, 3*a + 0*p = 2*p + 26. Suppose u - a = -3*u. Differentiate 5*t**u - 2 - 4*t**3 + t**3 wrt t.
6*t**2
Let r(a) be the second derivative of 1/24*a**4 + a + 1/3*a**3 - 1/2*a**2 + 0. Let n(j) be the first derivative of r(j). Differentiate n(y) with respect to y.
1
Let i(h) be the first derivative of -3/2*h**2 - 3 + 2*h. Find the first derivative of i(k) wrt k.
-3
Suppose 4*c = 3*c + 3. What is the second derivative of 0*z**3 + 2*z**5 + 2*z - z**3 + z**c wrt z?
40*z**3
What is the second derivative of -5*s**5 + 4*s**5 + 0*s - 3*s wrt s?
-20*s**3
Let d(p) = 7*p**4 - 6*p**2 + 22*p - 54. Let n(w) = -15*w**4 + 13*w**2 - 43*w + 109. Let y(j) = -13*d(j) - 6*n(j). Differentiate y(o) with respect to o.
-4*o**3 - 28
Let j(m) be the second derivative of 0*m**2 + 2*m + 0 - 1/3*m**3 + 0*m**4 + 7/20*m**5. What is the second derivative of j(c) wrt c?
42*c
Let o be (10/24)/(20/8). Let b(h) be the second derivative of h + 0 + 0*h**2 - 1/12*h**4 + o*h**3. Find the second derivative of b(j) wrt j.
-2
Suppose 3*h = 4*h - 2. Differentiate g**h + 3 + g**2 - 3*g**2 with respect to g.
-2*g
Let f(d) be the first derivative of 23*d**3/3 - 3*d + 13. Find the first derivative of f(v) wrt v.
46*v
Find the third derivative of 60*h**2 - 6*h**4 + 4*h**4 + 12*h**3 - 9*h**3 + 9*h**4 wrt h.
168*h + 18
Let i(c) be the third derivative of 3*c**7/70 + 13*c**5/60 + 7*c**2. What is the third derivative of i(h) wrt h?
216*h
Suppose -3*s = -3*z - 27, 5 - 25 = 5*z. What is the second derivative of -4*y**2 + 0*y + s*y - 9*y wrt y?
-8
Let i(p) be the third derivative of -7*p**5/60 - p**4/12 + 4*p**2. Find the second derivative of i(d) wrt d.
-14
Let h(w) be the second derivative of -w**10/10080 + w**7/630 + w**4/3 - 3*w. Let o(x) be the third derivative of h(x). Find the third derivative of o(m) wrt m.
-180*m**2
Let p be 72/42*1*7. Differentiate -24*m + 4 + 16*m + p*m with respect to m.
4
Let b(g) be the second derivative of -1/15*g**6 + 0 + 0*g**2 + 0*g**3 - g + 0*g**5 + 1/12*g**4. What is the third derivative of b(f) wrt f?
-48*f
Let b(i) be the second derivative of -i**7/42 - 5*i**4/12 - 6*i. Find the third derivative of b(s) wrt s.
-60*s**2
Let b(f) be the third derivative of 1/8*f**4 + 0 + 0*f + f**2 - 1/3*f**3. Let s(a) = -a + 1. Let k(z) = -b(z) - 4*s(z). What is the derivative of k(h) wrt h?
1
Let m(a) = 21*a**3 - 124*a**2 - 27*a + 44. Let h(o) = 4*o**3 - 25*o**2 - 5*o + 9. Let j(b) = -11*h(b) + 2*m(b). Find the second derivative of j(i) wrt i.
-12*i + 54
Let r(k) = k**3 - k**2 - k + 2. Let a(s) = s**3 + 5*s**2 - 5*s + 6. Let p be a(-6). Let l be r(p). Differentiate 5 - l - 1 + 4*f**3 - f**3 wrt f.
9*f**2
Let j = -1 - -1. Suppose -6 = -3*i - 3*c + 6, j = 3*i + 4*c - 11. Find the second derivative of 3*q**i - 2*q + q**4 - q**4 wrt q.
60*q**3
Suppose -5*o - 1 = 4*t, -20 = -5*o + 2*t + 3. Let i = 5 - o. What is the second derivative of 3*x**2 + x - i + 2 wrt x?
6
Let z(h) be the third derivative of -17*h**6/60 - 7*h**4/12 + 5*h**2. What is the second derivative of z(l) wrt l?
-204*l
Differentiate -11 + 81*q**2 + 83*q**2 - 165*q**2 - 2*q**3 with respect to q.
-6*q**2 - 2*q
Let a(n) = -n + 3. Let c be a(3). Suppose c = -0*f - f. Find the first derivative of 4*h + f - h + 2 wrt h.
3
Suppose -n = -4*o - 0*o - 7, -3*o - 18 = -5*n. Find the second derivative of -6*b**3 - n*b + 3*b**4 + 5*b**3 + b**3 wrt b.
36*b**2
Let b(o) be the first derivative of -o**9/504 + o**5/20 + 2*o**3/3 + 1. Let p(z) be the third derivative of b(z). What is the second derivative of p(c) wrt c?
-120*c**3
Let p(k) be the second derivative of -2*k**7/21 + k**4/2 + 4*k. What is the third derivative of p(m) wrt m?
-240*m**2
Let p(u) be the second derivative of -3*u**5/10 - 9*u**2/2 + 2*u. Differentiate p(k) with respect to k.
-18*k**2
Let m = -3 + 5. Differentiate 3*w**3 + 5 + 4*w**m - 4*w**2 + 1 with respect to w.
9*w**2
Let r = -11 + 6. Let d = r - -10. What is the second derivative of d*i - 3*i + 4*i**2 - i wrt i?
8
Let x(k) = -20*k**4 + 3*k**3 - 3*k**2 + k. Let i(t) = 59*t**4 - 8*t**3 + 8*t**2 - 2*t. Let r(u) = -3*i(u) - 8*x(u). What is the second derivative of r(m) wrt m?
-204*m**2
Suppose 5*q = -p - 15, -2*q = -3*p - 6*q - 12. Suppose -3 = -n - p*n. What is the second derivative of 3 - 3 + 2*b**n + 2*b wrt b?
12*b
Let f be 4/(2/(-5)*-5). What is the second derivative of 2*n - 13*n - n**f - 3*n**2 + 8*n wrt n?
-8
Let u(f) = -7*f**2 - 22*f. Let x(c) = -7*c**2 - 22*c. Let l(s) = -2*u(s) + 3*x(s). What is the second derivative of l(o) wrt o?
-14
Let a(h) be the first derivative of 5*h**4 - 34*h - 29. What is the first derivative of a(f) wrt f?
60*f**2
Suppose 5*b - a - 12 = 35, 5*a = -b + 25. Let i be (-53)/(-11) + b/55. What is the third derivative of 3*r**5 + r**2 - i*r + 5*r + 0*r**5 wrt r?
180*r**2
Let n(p) be the second derivative of 0 - 4*p - 1/12*p**4 + 0*p**2 + 0*p**5 - 1/21*p**7 + 0*p**3 + 0*p**6. Find the third derivative of n(i) wrt i.
-120*i**2
Let w be -1*(1 - (-1 - -3)). Let g = -1 - -2. Differentiate -g + 0 + d - w with respect to d.
1
Let y(l) = 13*l**4 - l**3 - l**2 - 5*l + 1. Let k(u) = u**4 - u**3 - u**2 + 1. Let d(h) = -k(h) + y(h). What is the second derivative of d(g) wrt g?
144*g**2
Let y(i) be the second derivative of -11*i**5/10 + 5*i**4/12 - 16*i. What is the third derivative of y(j) wrt j?
-132
Let p(k) = k**2 + 1. Let v be p(-2). What is the second derivative of 3*f**2 + f**5 + f - 3*f**2 + 3*f**v wrt f?
80*f**3
Let u(d) be the third derivative of 0*d + 7/24*d**4 + 1/12*d**6 + 0*d**5 + 0*d**3 - 6*d**2 + 0. What is the second derivative of u(g) wrt g?
60*g
Let t(f) be the second derivative of -f**7/21 - 5*f**3/6 - 12*f. What is the second derivative of t(s) wrt s?
-40*s**3
Let d = 7 + -7. What is the second derivative of d*x + 2*x + 2*x**5 + 0*x + 0*x wrt x?
40*x**3
Let i be (-2)/4 + 1/2. Let k(a) be the third derivative of | {
"pile_set_name": "DM Mathematics"
} |
)/(-10). List the prime factors of z(g).
13
Let c(o) = 11 - o - 11 - o. What are the prime factors of c(-9)?
2, 3
Suppose -2*z = 2*b - 2, -5*z - 3*b - b + 7 = 0. Let s(u) = u**3 - 2*u**2 + 3*u - 4. List the prime factors of s(z).
2, 7
Suppose 12 = 3*h + h. Let j(o) = -o**2 + 7*o - 3. Let x be j(5). Suppose -16 + x = -h*g. What are the prime factors of g?
3
Suppose -3*p + 56 = -p. List the prime factors of p.
2, 7
Suppose 0 = -5*k + h + 30, 4*k + 5*h = k + 18. Suppose -u + k = 2. Suppose 5*t - u = 46. What are the prime factors of t?
2, 5
Let l = 8 + 31. Suppose 4*x - 5*p - 114 = -l, -15 = 5*p. What are the prime factors of x?
3, 5
Suppose 0 = -p - 3*p + 204. Let r = -36 + p. Suppose 0*i + r = i. List the prime factors of i.
3, 5
Suppose -4 = -3*w + 2. What are the prime factors of w?
2
Let a(k) = -k - 2. Let x be a(-1). Let z = x - -4. What are the prime factors of z?
3
Suppose 3*p - 3*s - 612 = 0, -3*p + 5*s - 4*s + 618 = 0. What are the prime factors of p?
3, 23
Suppose -5*f = -2*i + 163, 0 = 2*f - 5*i + 35 + 47. Let s = 60 + f. What are the prime factors of s?
29
Let o = -3 + 5. Suppose 10 = 3*t + o*t. What are the prime factors of t?
2
Let b be (6 - 2)*(-3 + 4). Suppose 43 = b*p - 1. What are the prime factors of p?
11
Suppose -2*n = -5*y - 32, -5*y - 14 = -2*n + 3*n. Let d be n/(-4)*(-84)/(-9). Let f = d + 22. What are the prime factors of f?
2
Suppose 3*r = u + 18, 1 = -2*r + 5. Let c be (u/(-16))/(2/56). Let l = c + -9. What are the prime factors of l?
2, 3
List the prime factors of (-256)/(-6) - 4/6.
2, 3, 7
Let h be 2/(-4)*1*0. Suppose -a - a + 8 = h. List the prime factors of a.
2
Let y be (1 - 12) + (-1 - -2). Let f = y + 40. Suppose -2*i + 5*i - f = 0. What are the prime factors of i?
2, 5
Let x(q) = 50*q**3 - 2*q**2 + 2*q - 1. Let g be x(1). Suppose g = 5*b - 21. What are the prime factors of b?
2, 7
Suppose 5*a + 21 = 2*z - 0*a, 10 = z - 2*a. Suppose -4*x + z = -0*x - 2*l, -4*x + 14 = l. List the prime factors of x.
3
Suppose 0 = 4*z - 0*z - 112. What are the prime factors of z?
2, 7
Suppose -r - 20 + 159 = 0. Let w = r + -97. List the prime factors of w.
2, 3, 7
Suppose 0*x = 2*x - 4, 2*i + x - 6 = 0. Suppose 0 = -q - 2*o + 40, i*o = 10 - 2. What are the prime factors of q?
2
Let l(f) = -3*f + 3. List the prime factors of l(-5).
2, 3
Suppose -3*v - 5*r + 6 = -10, 5*v = -3*r + 16. Let o = v - -1. What are the prime factors of o?
3
Let s(y) = -2*y**3 - 5*y**2 + 5*y + 5. Suppose -7*k = -2*k + 20. List the prime factors of s(k).
3, 11
Let t = -4 + 68. List the prime factors of t.
2
Let c = 3 - 1. Let y(t) = -5*t - t + 3*t**2 + c*t. What are the prime factors of y(3)?
3, 5
Let w = 80 + -26. List the prime factors of w.
2, 3
Suppose 4*d = 10*d - 12. List the prime factors of d.
2
Let i = 9 - 24. Let v = i + 18. List the prime factors of v.
3
Let b = -2 + 7. What are the prime factors of b?
5
Let l = -19 - -22. Suppose -m - 11 = -5*d, 2*d - 5 = l. What are the prime factors of m?
3
Let f(b) = 3*b**2 - 5*b + 5. What are the prime factors of f(4)?
3, 11
Let w = 259 - 138. List the prime factors of w.
11
Let p(b) = b**3 + 3*b**2 + b. Let z be p(-3). Let a be 8/z*(-27)/(-12). Let c(m) = m + 10. List the prime factors of c(a).
2
Let i(w) = -10*w**3 + 2*w**2 + w - 3. What are the prime factors of i(-2)?
83
Suppose -3*m + 9 = -m - 3*g, -5*g + 10 = 5*m. Suppose -3*a = m*o - a + 11, -5 = 2*o - a. Let u = o - -11. List the prime factors of u.
2
Let w = -23 - -45. Let h be (-1)/3 + (-43)/(-3). Let s = w - h. What are the prime factors of s?
2
Let g(o) = o**3 + 11*o**2 - 9*o + 6. What are the prime factors of g(-5)?
3, 67
Let g = 48 - 45. What are the prime factors of g?
3
Let z = 24 - 18. Suppose -l = 3*l - 4*h - 12, 3*h + 15 = -3*l. Let g = z + l. List the prime factors of g.
5
List the prime factors of (-141)/5*(-14 - -4).
2, 3, 47
Suppose -2*m - 3*m + 25 = 0. Suppose 0 = -4*g + m*s, 0*g + 5*s = -3*g. Suppose g*q - 9 = -q. What are the prime factors of q?
3
Let b(z) = -z**3 - 7*z**2 + z + 9. Let p be b(-7). Suppose 3*u - 13 = -x, p*u = 4*x - 2*u - 20. List the prime factors of x.
7
Suppose 5*m - 4 = -a + 6, 2*m = -5*a + 4. Suppose -r = 2, 5*g - 43 = -a*g + 4*r. What are the prime factors of g?
7
Let w(q) = q**2 + 20 - 17*q - 4*q - 2*q**2 + 0. List the prime factors of w(-20).
2, 5
Suppose -c - 68 + 9 = -2*p, p + 4*c = 34. What are the prime factors of p?
2, 3, 5
Let i = -58 - -93. List the prime factors of i.
5, 7
Suppose -3*i = i. Let j = 0 - i. Suppose -4*z - 5*a + 58 = j, 5*a = -z + 4*a + 14. List the prime factors of z.
2, 3
Suppose -4*t + 2*j = -138, -3*t + 4*j - 132 = -7*t. What are the prime factors of t?
2, 17
Let j(b) = 10*b**3 - 2*b**2 - 3*b + 2. Let p be j(2). Let m be (-4)/10 - p/(-20). Suppose m*c + 4*r = 3, 3*r - 8 = -c + 4*r. What are the prime factors of c?
5
Suppose 0 = 2*j - u - u - 288, -2*j + 276 = -5*u. What are the prime factors of j?
2, 37
Suppose -4 - 5 = -5*n + 3*i, 0 = 4*n - 3*i - 9. Suppose -v + 2 + 6 = n. Suppose 4*o = u + 37, v*o - 3*o - 47 = 2*u. List the prime factors of o.
3
Suppose -4*q = -4*y - 560, 4*y + 696 = 2*q + 3*q. List the prime factors of q.
2, 17
Let r(z) = z**3 + 9*z**2 - 22*z + 3. Let v be r(-11). Suppose -5*g + 4*g + 3 = 0. Suppose 2*s = 4*i + 28, -4*s + 4 = -v*s + g*i. List the prime factors of s.
2, 5
Let v(h) = h**2 + 4*h + 7. Let d be v(-8). Suppose x + x + 5*t = 39, 0 = 3*x + t - d. List the prime factors of x.
2, 3
Suppose 2*t = -2*y + 192, 0*t + 288 = 3*y - 3*t. List the prime factors of y.
2, 3
Let v be (108/(-8))/((-6)/8). Let p be (-8)/12*v/(-4). List the prime factors of 5 - (-3)/(p*-1).
2
Let m(b) = -b**2 - 16*b - 5. List the prime factors of m(-14).
23
Suppose 2*u - 138 = 46. List the prime factors of u.
2, 23
Let h be (-32)/(-12)*6/4. Suppose -6*l + 2*l - 2*x = -12, h*x + 20 = 3*l. Suppose 5*d - 46 = l. List the prime factors of d.
2, 5
Let w be (-4)/14 - (-37)/7. Suppose w*u = 4*u + 32. Suppose 4*b + 5*q - 28 = 5, 4*q - u = -4*b. What are the prime factors of b?
7
Suppose r - 2*r = -c + 7, 4*c - 2*r = 26. List the prime factors of c.
2, 3
Suppose 3*g - 7 = -1. Let d be 6/(6/g) + 9. Let a = d + -2. What are the prime factors of a?
3
What are the prime factors of ((-18)/(-10))/((-9)/(-30)) - -2?
2
Let l(y) = y + 1. Let d = 3 + 9. Suppose 3*i - 7*i + 5*q = -13, 0 = -3*i + 3*q + d. List the prime factors of l(i).
2
Let h(d) = -3*d - 3. Let r be h(-2). Suppose 4*u - 2*m = 58, 2*u + 0*u - 27 = r*m. What are the prime factors of u?
3, 5
Suppose 3*o - 4*v - 90 = v, 0 = -5*o + 5*v + 140. List the prime factors of o.
5
Let h be -6 + 10 - 1*-2. Suppose -4*l + 5*d + 21 = 0, -2*l + 5*d + 10 = -3. Suppose h*b = 4*b + l. List the prime factors of b.
2
Suppose 2*s - 67 = 17. What are the prime factors of s?
2, 3, 7
Suppose 3*y = -4*l + 80, -20 = -y - 4*y. Suppose 2*c + 20 = 5*z - 48, -32 = -2*z + 2*c. Let g = l - z. What are the prime factors of g?
5
Let c(r) = 7*r**3 - 2*r**2 - 4*r + 5. What are the prime factors of c(2)?
3, 5
Let i(x) = -59*x - 3. What are the prime factors of i(-2)?
5, 23
Let j = -29 + 41. Suppose j = m - 3*f + 4*f, 5*m = f + 90. List the prime factors of m.
17
Let j be (-303)/(-9) + 4/(-6). Let a be (-2)/11 - 588/j. List the prime factors of a/7*14/(-3).
2, 3
Suppose -148 = 3*a - 4*y, 0*a + 124 = -3*a - 2*y. Let o = -19 - a. List the prime factors of o.
5
What are the prime factors of (-1)/4 + (-3115)/(-28)?
3, 37
Suppose 2*h + n - 4*n = 195, -2*h - 2*n = -190. List the prime factors of h.
2, 3
Let u be 3/(-9) + (-201)/(-9). Suppose 3*m = w + u, -m + 18 = 4*w + w. List the prime factors of m.
2
Let l = 45 - 11. What are the prime factors of l?
2, 17
Let y(h) = -h**2 + h + 1. Let t(l) = -2*l**2 + 9*l - 3. Let u(n) = t(n) - y(n). List the prime factors of u(7).
3
Let y(r) = -r**3 - 5*r**2 - 4*r. Let d be y(-5). Suppose s = -4*s + d. Suppose -m + 0 = -s. List the prime factors of m.
2
Let u = -10 + 6. What are the prime factors of (-6)/u*64/12?
2
Let j(k) = -k**3 + 9*k**2 - 7*k - 3. Let s be j(8). What are the prime factors of -1 + 2 + (s - 0)?
2, 3
Suppose 3*j = 7*j - 20. Suppose 0 = -4*k + 4*z + 96, 5*k + j*z - 174 = -24. What are the prime factors of k?
3
Suppose -2*p - 3*p + 17 = d, -2*p - 5*d + 16 = 0. List the prime factors of ((-2)/p)/(4/(-18)).
3
Suppose 0 = 3*g + h - | {
"pile_set_name": "DM Mathematics"
} |
h))**18 assuming h is positive.
h**(-2160/31)
Simplify (b**(-1/6)/b**(5/2))/((b*(b*b*b/(b*b**(-2)/b))/b*b)/(b/(b*b**(-4))))*((b*((b**(1/9)/b)/b*b)/b)/(b*b/b**(-1/4)))**(-28) assuming b is positive.
b**(749/9)
Simplify (g**1)**(-41)/(g*g/((g**(-1/3)*g)/g)*g*g)**(11/3)*(g**1)**(-2/39)*g*g**(1/4)/g*g/((g/(g*g/g**0))/g) assuming g is positive.
g**(-25127/468)
Simplify (m**0)**(-6/23)/(m*m*m**1/m)**43*((m/(m**1/m))/((m*m**(1/6))/m))/(m**(-2/21)/m*m**(-2)) assuming m is positive.
m**(-1149/14)
Simplify ((q*q**0)**(-2/5)/(q*((q*q**(2/17))/q)/q)**(2/19))**7 assuming q is positive.
q**(-4662/1615)
Simplify (z**(2/9)*z**3/z)**14/((z**(2/9)*z*z**5)/(z**(5/2)/(z*z/((z/z**(-2/5))/z)))) assuming z is positive.
z**(2321/90)
Simplify ((k**0)**(-2/9)*(k*k**0)**(-2/7))/(((k/((k*(k/(k*k/(k/k**(2/9))))/k)/k))/k*k)**(7/9)/((k/k**(-8))/k**(3/5))) assuming k is positive.
k**(18104/2835)
Simplify ((k**(-5/4)*k**(-2))/(k**10)**(1/4))**26 assuming k is positive.
k**(-299/2)
Simplify (n/n**28*n**(2/23)/n*(n**(-2/17)*n)**(-48))**(-1/12) assuming n is positive.
n**(4579/782)
Simplify ((m/(m**(1/5)/m))/(m**2/m))/(m*m**(2/5)*m*m*m/(m**(-2/3)*m))*((m**1)**(-23/5))**(22/3) assuming m is positive.
m**(-37)
Simplify ((o**(-1/3)*o**(1/2))/((o**6/o)/(o/(o*o/o**3))))/(o**(-2/19)/o**(-1/4)*(o**(2/3)/o*o)/o**7) assuming o is positive.
o**(255/76)
Simplify (k**1*k/(k/(k/k**3)*k*k))**(-17/3)*k/(k/k**7*k)*(k**(1/3)/k)/k*(k**(-2/11)/k)/(((k*k/(k/k**(-1/4)))/k*k)/k) assuming k is positive.
k**(2693/132)
Simplify ((f**8*f**(1/25))**(2/13))**48 assuming f is positive.
f**(19296/325)
Simplify ((x**(-3)/x*x/(x*x*x*x**40))/(x*(x/(x/(x*x*x/x**(-5)*x*x)))/x*x)**(-48))**(-13) assuming x is positive.
x**(-6266)
Simplify (g**(2/5))**(3/7)/(g**(-2/9))**(2/19)*(g**11/g*g*g**14)**(-2/9) assuming g is positive.
g**(-32084/5985)
Simplify ((t**(-2/9)/t)**(-23/3)*t**5/t**(-1/2))/((t**(2/3))**(-1/62)*(((t/(t**(-2)*t))/t)/t)/(t*t**(-4/3))) assuming t is positive.
t**(24353/1674)
Simplify (f**0/f)**11/(f**(1/4)/(f/f**4*f))*(f**1)**8*(f**0)**(-11/2) assuming f is positive.
f**(-21/4)
Simplify (((b*b**19)/(b*b**(-15)))**(1/21))**16 assuming b is positive.
b**(544/21)
Simplify ((c**4/c)/((c/c**(5/6))/c)*c**(-3)/((c**(-1/7)*c)/c))/((c*c**(-1)*c)**(6/11)/(c**(-2/7)*c*c**(-1))) assuming c is positive.
c**(67/462)
Simplify ((u*u**25*u)/(u*u**(1/31))*(u/((u/(u*(u**(16/5)/u)/u*u)*u)/u)*u)**(-29))**(-4/27) assuming u is positive.
u**(59416/4185)
Simplify ((j**8*j)/j**(-5)*(j*j*j/j**1)**(-11))**24 assuming j is positive.
j**(-192)
Simplify (((m**(-10)/(m**(-2/15)*m))/((m**(-5)*m)/((m/((m**(-1/6)/m)/m))/m)))**19)**32 assuming m is positive.
m**(-14288/5)
Simplify ((k/k**(-2/5))**16)**(-19)*k**(-5)*(k*k/k**(-1/3))/k*(k/k**(-3/2))/(k**(-1/2)*k) assuming k is positive.
k**(-6409/15)
Simplify (((y/(y/((y**(2/99)*y)/y)))/(y/(y*y**(12/11))))/((y*y**(2/71)*y*y)/(y*y*y/y**38)))**(-2/27) assuming y is positive.
y**(47180/17253)
Simplify (c**(-1)*((c*c**(-6))/c)/c*c)/(c**(-2))**42*c**6/c*c*c*c/c**(-3/7)*(c**(2/5))**(3/11) assuming c is positive.
c**(32932/385)
Simplify ((((l/(l**0*l)*l)/l)**(-31)*(l*l**(-1))/(l**(1/6)/l))**37)**(-47) assuming l is positive.
l**(-8695/6)
Simplify (d**(2/3))**(-25)*d**(-8)/d**3*(d/(d**(-8)/d))/(d/d**(-2/25))*(d*d*d/(d/d**(1/2)))**(-1/7) assuming d is positive.
d**(-20059/1050)
Simplify (h**(-21)*h*h*h**(6/13)*h)/(((h/h**(-2/29))/h)/h**(-2/7)) assuming h is positive.
h**(-47220/2639)
Simplify ((t**(-2/3)*t)**(-47/3)/(t**(-1)/(t**(-1/4)*t*t)))/(t/((t*t**(-16))/t*t*t)*(t/(t*t**15))/t)**(-1/36) assuming t is positive.
t**(-5/2)
Simplify (n**32/n*n**(-34)*(n*((n/n**(2/21))/n*n)/n)**(-1/7))**(4/11) assuming n is positive.
n**(-1840/1617)
Simplify (((b**(2/3)/(b**1/b*b))/((b**(2/7)*b)/(b*b**4)))**9)**24 assuming b is positive.
b**(5112/7)
Simplify (t**(-10)/(t**25/t)*(t**(3/2)*t)/(t*t/(t*t**(4/5)*t)))**(6/11) assuming t is positive.
t**(-921/55)
Simplify ((f**(-2/9)*f)**(10/7)*((f**(-1)*f*f)/f)/f**(-2/5))/(((f*f**4)/f)**(-32))**36 assuming f is positive.
f**(207428/45)
Simplify (l/(l**28/l)*l)**(-6/17)*l*l*((l**(-13)*l)/l)/l*l**(-11/6) assuming l is positive.
l**(-511/102)
Simplify (((r**(1/3)*r)/(r/r**(-5)))/(r*r*(r**(1/4)/r)/r)**(7/3))/((r**7/((r*r**(-6)*r)/r))/(r/r**(-7)*r/r**3)) assuming r is positive.
r**(-45/4)
Simplify (i**(6/35)*i**(-8/15)*(i**32*i)/(i*i**42/i))**(-34) assuming i is positive.
i**(33422/105)
Simplify ((o/o**(2/3))/(o/o**(-1)))/(o**(-2/7)*o)**(32/7)*(o/((o**0/o)/o)*o**1)**45 assuming o is positive.
o**(25735/147)
Simplify ((q*q*q*q/((q/q**(-1/2))/q*q*q)*q)**(-32))**6*((((q/(q*(q/(q*q**(-2/7)))/q))/q)/q)/q)**(3/22)/((q*q**4)/q**(-4)) assuming q is positive.
q**(-37677/77)
Simplify ((t*t**(1/4))**(-9)*(t**1)**47)/((t**(2/7)/t*t**(-2/3))/(t**(2/15)*t**(-6)/t)) assuming t is positive.
t**(4237/140)
Simplify ((a*a**(-5)*a)**1*(a/((a**(-4/11)/a)/a*a))**45)**(2/75) assuming a is positive.
a**(758/275)
Simplify ((m**(1/6)*m)/m*m*m**6)**(9/5)/((m*m**0/m*m*((m/(m/m**(-4)))/m)/m)/(m/(m*m/(m**(-6)/m)*m)*m*m/(m/(m/m**(-1/5)))*m)) assuming m is positive.
m**(121/10)
Simplify (l**(1/37)*l*l**(2/11)/l*(l/((l**1*l)/l)*l)**46)**11 assuming l is positive.
l**(18807/37)
Simplify (v*v*(v/v**(-7/3))/v*v**2*(v*v/(v*v**(-2/35))*v*v)/v**(13/5))**(-10/17) assuming v is positive.
v**(-1426/357)
Simplify ((d*d/d**10)**(-7/2)*d**(3/11)/(d/d**(12/13)))**(3/34) assuming d is positive.
d**(6048/2431)
Simplify ((j*j*j**13)/((j/j**(1/3)*j*j*j*j*j)/j)*j/(j/j**(-6/13))*((j**(10/13)*j)/j)/j*j)**(-29) assuming j is positive.
j**(-12035/39)
Simplify (x**5*x*x*x*x/x**(1/5))**36*(x*x/(x/x**(-1)))**(-12)/(x*x/(x**(-2/9)*x)*x*x**7) assuming x is positive.
x**(13841/45)
Simplify (((d**(-1/2))**(-19/2)/(d**(-2/13)/(d*d/(d/((d*d**(-8))/d)))))**2)**(-3/4) assuming d is positive.
d**(327/104)
Simplify (q**(-5)/q**(-3/7))**(21/2)*((q/q**(-4)*q)/(q/((q*q**1)/q)))**(-1/7) assuming q is positive.
q**(-342/7)
Simplify k*k**(-8)*k**(1/3)*k*((k*k**(-16))/k)**(3/34) assuming k is positive.
k**(-361/51)
Simplify ((t/(t**(-1/2)*t))**(1/18))**17*((t/(t/t**(-2))*t)**(-9))**40 assuming t is positive.
t**(12977/36)
Simplify ((x**(1/3)*x**8)/(x*x**(7/5)*x**(-1/5)))/((x*x**(-1/3))**20*x**(-1/6)/(x**(-3/2)*x)) assuming x is positive.
x**(-113/15)
Simplify (g/(g/g**(5/3))*g*(g**(-2/7)/g)/g*g*g/(g**(-5/2)/g)*g**2)/((g**(-2/11)*g/g**(-1/5))/((g/(g*g/g**5))/g**1)) assuming g is positive.
g**(22783/2310)
Simplify (y**(-6/11)/(y/(y**(5/3)/y)))**(-37)/((y**0)**(1/4)*(y/(((y*y**1)/y)/y))**32) assuming y is positive.
y**(17/33)
Simplify m**(-1)*m/m**(-4/5)*m**(2/7)/m**(-4/3)*((m/(m*m**(-1)))**22)**(5/13) assuming m is positive.
m**(14852/1365)
Simplify (c*(((((c**(-5)*c)/c*c*c)/c)/c)/c)/c*c**(-1)*c)/(c**(1/2)*c*c**1/c*c)*(c**0)**32/((c/((c*c**(-1/6))/c))/c**(-2)) assuming c is positive.
c**(-35/3)
Simplify (b**(-3)/b**(1/3)*(b/(b*b*b*b*b*b*b**14*b*b))/b*b*b*b/b**24)**42 assuming b is positive.
b**(-1946)
Simplify (((v**(-5)*v)/v)**(2/11)/(v**(-1/10)/v*v*v**(-10)))**(-18) assuming v is positive.
v**(-9099/55)
Simplify (y/(y**(2/7)*y*y)*y)**(1/18)/(((y**(1/9)/y)/y*y)/(y/y**6))*(y**(-3)*y*y**(-1/4))**(-2/27) assuming y is positive.
y**(-499/126)
Simplify (p/(p*p**0)*p**(-2/5)/p)**(16/7)*p**(2/7)/(p*p*p**(2/19)*p)*(p*p**(-2/17))/((p/(p*p*p**(-2/13)/p))/p) assuming p is positive.
p**(-630633/146965)
Simplify ((j/j**(2/19)*j**5/j)/(j**(-2/9))**(-26/5))/(j*j/(j*j**(8/7))*(j/j**(2/7)*j)/j*j)**(-49) assuming j is positive.
j**(69032/855)
Simplify (((f/(f**(-17)/f*f))/f**(5/7))/((f*(f/((f*f/(f*f/(f*f**(2/5)*f))*f*f)/f))/f*f*f)/((f/f**0)/f)))**(-28) assuming f is positive.
f**(-2476/5)
Simplify ((p**(-2))**(11/3)*(p/p**(-2/7)*p)**(-2/73))/((p*(p*(p**(-2/33)/p)/p*p*p)/p)/(p/((p/(p**(-11)*p)*p*p)/p)))**24 assuming p is positive.
p**(-4956734/16863)
Simplify (x**9/(x*x*x**5*x)*(x**1*x)/(x**(-10)/x*x))**(4/15) assuming x is positive.
x**(52/15)
Simplify ((m/(m/m**(-1/2)))/m**(4/5))**(5/7)*m/(m/m**8)*m**(-7)*(m**(2/3))**(2/35) assuming m is positive.
m**(23/210)
Simplify (((f/(f**(6/7)*f))/f)**29*(f**(6/5)*f)**37)**(-2/59) assuming f is positive.
f**(-1928/2065)
Simplify ((k*k**(2/3)*k/k**(-7))/(k**2*k)**31)/((k*k**(1/3))**(-13/5))**(2/31) assuming k is positive.
k**(-12882/155)
Simplify (u**(-9)/u*u**15)/(((u/u**(-1/9))/u)/(u*u**(-1/4)*u)) assuming u is positive.
| {
"pile_set_name": "DM Mathematics"
} |
lse
Suppose 2*p + 2 = -y, -5*p = -0*y - 2*y - 13. Let n = p - -3. Is n at most as big as 2?
False
Let c(t) = -2*t**2 + 4*t + 5. Let o be c(-1). Which is smaller: 8/41 or o?
o
Let h(s) = -s**3 - 18*s**2 - 3*s + 2. Let j be h(-18). Is 57 less than j?
False
Let q = 2 - 11. Let c be (-4)/(-18) + 4/q. Which is bigger: c or 0?
0
Let j = 166/99 - 1/99. Is 2 less than or equal to j?
False
Let u be ((-8)/(-40))/(2/(-12)). Which is bigger: u or 0?
0
Let x = -1 + 7. Let q = -5 + x. Which is greater: q or -0.1?
q
Let k be (-1 - 0)*(2 - 1). Let v be ((-7)/45)/((-94)/(-48)). Let q = 10/47 + v. Which is greater: k or q?
q
Let t = -9.3 + 9.38. Is -0.01 equal to t?
False
Let q be -4 + 4 - (-5 - -2). Suppose 0 - 6 = q*d. Is d less than 0?
True
Suppose 4*q - 4 = 2*f + 6, 0 = 5*f - 5*q + 10. Is f greater than 5?
False
Suppose 2*z = -f - 7, f - 1 = z - 5. Is -1/26 greater than or equal to z?
True
Let x = -15 - -83. Which is greater: x or 69?
69
Suppose -4*r - a = -18, 4*a = 5*r - 6 - 6. Let j = 12 - 7. Suppose 16 = r*t, -5*k - j*t - 3 = -28. Which is smaller: k or 2/11?
2/11
Suppose -3*w = -v + 7, -v - w + 3*w = -5. Let k(b) = 9*b**2 - 2*b + 2. Let q be k(v). Is q greater than 9?
False
Let w = 4/22119 - -330409/7608936. Let j = w + -18/43. Which is smaller: j or 1?
j
Suppose -5*w + 3*v = -63, 0*w = -3*w + 3*v + 33. Which is smaller: w or 16?
w
Let a = 0 - 8. Let y = -4 - a. Let l = y + -5. Is l <= -2?
False
Let i = -27 - -62. Which is bigger: 34 or i?
i
Suppose 0 = 3*c + 2*d + 2*d + 2, -5*c + 50 = -4*d. Suppose -c*m = -m + 100. Let v be 3/m + 4/(-16). Which is bigger: v or 1?
1
Let u(w) = -w**2 + 8*w - 9. Let x be u(7). Let a be (-3)/x*(11 + -9). Suppose 1 = 5*b - 5*k + 6*k, 0 = -a*b + 4*k - 4. Is 1 bigger than b?
True
Let f = 22.4 - 20. Let t = f + -2. Let b = 2.4 - t. Which is bigger: -1 or b?
b
Let s(g) = g**2 - 8*g + 9. Let i(f) = -6*f + 1. Let k be i(-1). Let n be s(k). Do 4 and n have the same value?
False
Let m(g) = -7*g**2 + 8*g + 10. Let o be m(-1). Suppose -2*x = -7*x - 20. Which is greater: o or x?
x
Let s = -73/45 - -7/5. Suppose 0 = -5*b + 5*q + 65 - 10, 5*q = -5. Let d be 2 - (b/2 + -2). Is s bigger than d?
True
Let v be 1 - 1 - (-8)/(-96). Is v <= 1?
True
Let z = 4 - 2. Suppose 0 = 3*q - l - 30, -4*l + 32 = z*q - 2. Let i = -11 + q. Is i != 1/9?
True
Let p be (4/50)/(-21 + 22). Suppose -15 = -5*b, -4*b - 1 = 3*v - 10. Which is smaller: p or v?
v
Let a = -2.8 + 3. Let n = 31 - 33. Is a <= n?
False
Suppose 3*v = -5*c - 64 - 184, 5*c - 2*v = -243. Is c < -49?
False
Let o be ((-1)/(2/12))/(-1). Let b(y) = y + 10. Let x(t) = t**3 - 10*t**2 + 9*t - 5. Let k be x(9). Let i be b(k). Are i and o unequal?
True
Let n = 0.065 + -26.065. Let y = n + 27. Which is bigger: y or -1?
y
Let f = 65 - 196. Let h = -521/4 - f. Is h at most as big as 0?
False
Let c be -2 + -2*(-201)/207. Let j = c + 182/759. Which is greater: 1 or j?
1
Let a = 46 - 47. Do 1/51 and a have the same value?
False
Let d be 8/(-20) - (-86)/(-10). Let f = -9 - d. Which is greater: -5/6 or f?
f
Let l(u) = -4*u**2 - 10*u - 10. Let o(i) = 5*i**2 + 11*i + 11. Let v(a) = 4*l(a) + 3*o(a). Let f be v(-6). Which is bigger: -2/33 or f?
-2/33
Let d be (16/10)/((-6)/(-15)). Suppose 0 = -d*w + 2*c - 24, 2*c - 6*c = -2*w - 24. Do -5 and w have the same value?
False
Let p(w) = w - 1. Let x be p(-2). Let y be x/6*(-4 - -2). Which is smaller: -1/19 or y?
-1/19
Let b be (-516)/(-20) + 2/10. Suppose -p + d = -0*d + 6, p - 5*d + b = 0. Which is bigger: -2/41 or p?
-2/41
Suppose 2*h = -2*h + v - 133, 64 = -2*h - 2*v. Do 0 and h have the same value?
False
Let l(n) = -n + 7. Let j be (3/(-6))/(1/(-4)). Suppose 0 = -5*v + 2*o + 30, v + j*v - 5*o - 18 = 0. Let k be l(v). Is k less than 0.1?
False
Suppose -2 = -2*o - 2*t, 1 - 5 = -2*o - 3*t. Let m be (-13)/(-20) - o/(-4). Are 0 and m equal?
False
Let x be ((-8)/12)/((-4)/18). Suppose 0 = -7*s + x*s - 4. Does -2/71 = s?
False
Let i be -13*2/(-22) - 1. Let o = -0.2 + 0. Let w = 0.8 - o. Which is smaller: w or i?
i
Let l = -0.7 + 4. Let i = l + -3. Let k = i + -4.3. Which is bigger: 0 or k?
0
Let o = 0 - 2. Is -2 > o?
False
Let k = 6 - 2. Let r = k + -1. Is -1/2 > r?
False
Let m(q) = -q**2 - 6*q - 2. Let r be m(-5). Is 4 at least as big as r?
True
Let q(j) = j + 5. Let k be q(-4). Which is smaller: k or -1?
-1
Suppose -g - 3 = -6. Which is smaller: 2 or g?
2
Let l = 73 - 77. Is -17 > l?
False
Let f be (3/36)/((-1)/(-3)). Let y be (-8)/(-15) - 15/75. Which is smaller: f or y?
f
Let u = -11.28 + 11. Let z = -1.38 - u. Is 1 at least as big as z?
True
Suppose q - 3*t = 3*q - 42, -5*q + 91 = 4*t. Let c be 3/q - 6/5. Let x = 0.2 + -0.4. Is c bigger than x?
False
Let i(l) = -l**2 + 18*l - 20. Let f be i(17). Are -1.1 and f nonequal?
True
Let r(q) = q - 2 - 5 + 17. Let v be r(-7). Let l = 7 - v. Which is smaller: 3 or l?
3
Let v(t) = -t + 24. Let u be v(23). Which is bigger: 1/31 or u?
u
Let g = 1 + 1. Let h be 0 - 4 - 371/(-63). Let l = h - 101/63. Which is bigger: l or g?
g
Suppose -2*b + 6*b = 0. Is b less than or equal to 1?
True
Let y = -0.31 + 0.41. Is y at most as big as -11?
False
Let v = -29 - -59/2. Let h = 4.1 - 4. Let w = h - 0.3. Is v greater than or equal to w?
True
Let u(f) = f**2 - 9*f - 2. Let v be u(8). Are v and -9 non-equal?
True
Let l = 1039 + -1034. Let i be (3/4)/(2/24). Let o = i + -4. Do l and o have different values?
False
Let u(m) be the second derivative of m**3/6 + 3*m**2/2 - 4*m. Let b(o) = o. Let h be b(-4). Let i be u(h). Which is smaller: -1/5 or i?
i
Let p = -1/86 + -1/86. Which is smaller: p or 1?
p
Suppose -95 = -5*r + 215. Suppose 5*g - r = -17. Is 10 at most as big as g?
False
Suppose 3*s - 3 = 3. Suppose s*d = 2 - 4. Do -5/7 and d have the same value?
False
Suppose -85*s - 11 = -84*s. Does s = -10?
False
Let v = -5 - -10. Let m = v - 6. Is 0.2 less than m?
False
Let h(b) = b**2 - 7*b - 12. Let a be h(9). Which is greater: a or 7?
7
Let w be (-676)/332 + 5 + -3. Is w <= 1?
True
Let t = 19 + -24. Let b = t - -5.3. Which is greater: b or 4?
4
Let f be 26/(-3 + 17/5). Let z = 98 - f. Let u be z/27 - 4/18. Is 2/3 at most as big as u?
True
Let w = -6/2887 - 3644/1024885. Is w smaller than -1?
False
Let z = 0.17 - 0.16. Which is bigger: 1 or z?
1
Let j = 1.978 + 0.022. Which is smaller: j or 2/15?
2/15
Let h = -3636/80023 - 2/1861. Which is greater: h or -1?
h
Let g be ((-1)/(-3) + 0)/4. Let o = -1/3 + g. Suppose -6*l = -l. Which is bigger: l or o?
l
Let z = -6623/25 + 265. Is z > -1?
True
Let p = 9 - 14. Suppose 7*f - 2*f = -40. Let a be (20/f)/(1/2). Is p <= a?
True
Let f(v) = -6*v**2 + 2*v - 1. Suppose -w + 0*w + 1 = 0. Let q be f(w). Let z = 3 + q. Are z and -1 equal?
False
Suppose 2*k = 7*k - 15. Let c be 52/6 + k/9. Let z = 13 - 5. Which is smaller: c or z?
z
Let g(y) = -y**2 - 2*y - 1. Let z be g(-2). Suppose -4*n + 3*u + 37 = 0, -4*u + 33 = 3*n - u. Let o be 96/(-165) - (-4)/n. Which is bigger: o or z?
o
Let d(x) = x**2 - 3*x - 3. Let f be d(4). Let i = -7 - -7. Let h = f - i. Which is greater: h or -2/3?
h
Let i(y) = -3*y**2 + 9*y - 5. Let t be i(2). Is t at most 2/87?
False
Let b(j) = j - 6. Let s = 9 - 5. Let i be b(s). Let v be (i/3)/((-1)/(-2)). Do v and -1 have the same value?
False
Suppose -l - 7 = -3*c, 4*l - 4*c + 0 = -12. Let z be l/2 - (-5)/90. Is z less than -1?
False
Suppose 4*d + 0*d = 12. Let y = 19 + -15. Suppose -y*z = 5*b - 0*z - 10, -4*b + 8 = z. Which is bigger: b or d?
d
Let l = 1 + -1. Let o = -547/15 - -110/3. Which is smaller: l or o?
l
Let h be (2/(-2))/(10/(-84)). Let n = 8 - h. Let q = 0.7 + -0.7. Which is bigger: q or n?
q
Let g(y) = -y**2 - 9*y + 14. Let z be g(-10). Suppose -3 - 5 = -z*d. Are d and 1 nonequal?
True
Let g = 43 - 130/3. Let s = 5 - 4.6. Let t = 0.2 - s. Which is greater: t or g?
t
Let m be (-3 - -5)/(0 + (-16)/(-2)). Which is smaller: -0.45 or m?
-0.45
Suppose l - 72 = 4*l. Do l and -24 have the same value?
True
Let n(l) = l**3 - 5*l**2 + 2. Let v be n(5). Let x be v + -1 + 1 + 1. Suppose -2*s = -1 + x. Which is bigger: s or 2/9?
2/9
Let a be (-4)/30 - (2 + -2). Let o = -15 + 14.92. Let c = o - -1.08. Which is bigger: c or a?
c
Let f be 2 - ((-15)/7)/(-1). Suppose -2*g - 2*g - q - 47 = 0, -4*q + 16 = -g. Let o be 4/g*1*3. Which is greater: o or f?
f
Let q = 10 + -9. Let d be 4*(2 + 2/(-8)). S | {
"pile_set_name": "DM Mathematics"
} |
(d) 2
c
Which is the nearest to -1/5? (a) 1/3 (b) 0.02 (c) 0.21
b
Which is the nearest to -0.3? (a) -5 (b) 0.08 (c) -7
b
What is the nearest to 2/9 in 4/7, -1/5, 2/25, -4?
2/25
Which is the closest to 0.1? (a) -16 (b) -1/10 (c) 1/2
b
Which is the closest to 0.2? (a) -1 (b) -0.436 (c) -0.1
c
What is the closest to 1 in -2, -3/4, -3, -4?
-3/4
What is the nearest to -10 in -3, 1.9, 0?
-3
Which is the nearest to 0? (a) 6/5 (b) 3 (c) 0.5 (d) -2421
c
Which is the nearest to 1/3? (a) -2 (b) 1/2 (c) 2/11 (d) 3
c
Which is the nearest to -2/3? (a) -5 (b) 0.6 (c) -2/3 (d) -0.2
c
What is the closest to 0.2 in -5, 14.8, 1, 0.5?
0.5
Which is the nearest to 4/5? (a) 2 (b) -2 (c) 17 (d) -0.3
d
Which is the closest to 0.6? (a) 0.5 (b) -11 (c) -0.3 (d) 4
a
What is the nearest to 2 in 3, 2/3, 1/13?
3
What is the closest to 1 in -3/22, -3/2, 2/9, 2?
2/9
What is the nearest to 2/227 in -4, 4, 1.5?
1.5
What is the closest to -2 in -1, 1/6, 5/3, 4?
-1
Which is the closest to 1/3? (a) 0.08 (b) 5 (c) 2/15 (d) -0.3
c
What is the nearest to 1/3 in -4, 8, -0.94?
-0.94
Which is the closest to -0.8? (a) 4 (b) -5 (c) -2 (d) -3
c
What is the nearest to -2 in 0.8, -0.5, 0?
-0.5
Which is the nearest to 1? (a) -0.5 (b) 1/66 (c) 5
b
Which is the closest to 1? (a) -3 (b) 36 (c) 1/7
c
What is the closest to -1/4 in -10.6, 1, -0.7?
-0.7
Which is the nearest to -173? (a) 0.4 (b) -5 (c) 3
b
What is the nearest to -0.3 in -2/7, -17/4, -1, 0.5?
-2/7
Which is the closest to -8? (a) 4 (b) 2/43 (c) -1 (d) 1
c
What is the nearest to -4/5 in -4, 0.2, 2/3, -1/3?
-1/3
Which is the nearest to 1? (a) -28 (b) 4 (c) -1/10 (d) -0.5
c
What is the nearest to 1 in 23, 17, -4?
-4
What is the closest to 12/5 in -0.09, 5/3, 0.4, -3?
5/3
What is the closest to 23 in 3, 6/13, -2/11, -0.5?
3
Which is the nearest to -0.1? (a) 0.1 (b) -1 (c) 1/5
a
What is the closest to 1 in -0.4, -0.04, -2/15?
-0.04
Which is the closest to 15? (a) 2/13 (b) -3 (c) 8/11
c
What is the nearest to -1/2 in 1, 4, -3, -0.7?
-0.7
What is the closest to -2/5 in -5, -0.02, 2/5?
-0.02
Which is the closest to -0.1? (a) 0.3 (b) 48 (c) -4
a
What is the nearest to 2/7 in 0.05, -2, -1/6, 7?
0.05
Which is the closest to 16? (a) -1 (b) -7/4 (c) -0.6
c
What is the closest to 0 in -3, 3.5, -4, 0?
0
What is the closest to 2/7 in -0.5, 1, 2/9, -4?
2/9
What is the closest to 1 in -4, 0.4, 0?
0.4
What is the closest to 3 in 2/19, 5, -1.3, 0.2?
5
What is the nearest to 1 in -2/11, -0.3, 15/7, -1?
15/7
What is the nearest to 0.5 in 0.2, -2/11, -0.3, -0.2?
0.2
Which is the nearest to -11? (a) -0.3 (b) -2/27 (c) -2/9
a
Which is the closest to -1/2? (a) -1 (b) -6 (c) 0.5 (d) 1/3
a
Which is the closest to -1? (a) 1/4 (b) -0.3 (c) 2 (d) 3/4
b
What is the closest to 0 in -2/7, 0, -0.3, 0.2?
0
What is the closest to -2/5 in -3, 0, -9/2, 8?
0
Which is the nearest to -0.1? (a) -2.4 (b) -2 (c) 0.2 (d) 0
d
Which is the closest to -1? (a) 1/4 (b) 0.5 (c) -0.2 (d) 0.3
c
Which is the closest to 1/2? (a) 0.2 (b) 1 (c) -0.2 (d) -0.4
a
What is the closest to -1 in -4, -33, 3?
-4
Which is the closest to -36/7? (a) 3 (b) -2 (c) -6
c
Which is the closest to 1? (a) 2 (b) -1 (c) -2/11 (d) -14
a
What is the closest to -1 in 1/6, 19, 3?
1/6
Which is the closest to 3.3? (a) 1/11 (b) -4 (c) -2
a
Which is the nearest to -1? (a) -6/5 (b) -2 (c) 1.5 (d) 1/5
a
Which is the closest to -1/5? (a) 0.2 (b) -7 (c) -2
a
What is the nearest to 2/7 in 0.1, 20, -0.4, 0.3?
0.3
Which is the nearest to -0.1? (a) -13 (b) 2 (c) 1 (d) 0.1
d
What is the closest to 1.59 in -3, 0.3, -0.1?
0.3
Which is the closest to 4? (a) -91 (b) 11 (c) 0.5
c
What is the nearest to 1/4 in -3, 2/5, -21?
2/5
Which is the nearest to -6? (a) -1 (b) -4 (c) -13 (d) 2/15
b
Which is the closest to 0? (a) 0.14 (b) 14/25 (c) -2/11
a
What is the closest to 0.1 in -3, -2, -267, -0.5?
-0.5
Which is the closest to -1? (a) 2/5 (b) 2/9 (c) -0.5 (d) 0.02
c
Which is the closest to 2/7? (a) -17 (b) -38/7 (c) 0.07
c
Which is the nearest to -1/4? (a) 401 (b) 1 (c) -0.3
c
What is the nearest to 1/2 in -0.2, -80, -1?
-0.2
Which is the closest to 2? (a) 8 (b) 4 (c) -0.02
b
What is the closest to -1/5 in -2, -0.3, -5, -3?
-0.3
Which is the closest to -0.06? (a) 4 (b) 2/9 (c) 108
b
What is the nearest to 3 in -3/4, 0, 2?
2
Which is the closest to -0.1? (a) 43 (b) 2 (c) 0.04 (d) 0.5
c
Which is the closest to 0.1? (a) -80 (b) 18 (c) -1/5
c
Which is the nearest to 0.2? (a) -1.64 (b) 5 (c) -1/8 (d) 0.1
d
Which is the closest to -0.2? (a) -5 (b) 0.3 (c) -0.3 (d) 2/13
c
Which is the closest to 0? (a) 2 (b) 448 (c) -0.9
c
Which is the nearest to -2/3? (a) -2/15 (b) -4 (c) 5 (d) -3/2
a
What is the closest to 0.3 in 1/2, -0.2, -1?
1/2
What is the closest to 2/7 in -0.2, -0.17, -2, 0?
0
Which is the nearest to -0.1? (a) 12 (b) -1 (c) 1/2 (d) 2
c
What is the closest to 2/7 in -3/2, -2/83, 2, 0?
0
What is the nearest to 7 in 1, -2/13, 1/7?
1
What is the closest to -0.1 in 1, -5, 0.1?
0.1
Which is the nearest to 2/5? (a) -3/46 (b) 3/4 (c) 12 (d) -0.3
b
What is the nearest to 0.2 in -2, 10/7, -1?
-1
What is the closest to -2 in -3, 4/7, -2/13, -98?
-3
What is the nearest to -1/7 in -0.2, 3, 0.4?
-0.2
Which is the nearest to -264? (a) -1/3 (b) -0.2 (c) -1/6 (d) 3
a
Which is the closest to 3? (a) 2 (b) -0.03 (c) -1/3 (d) 37
a
What is the closest to -427 in -2, -3/4, 3/4, 4/3?
-2
What is the closest to 1 in -2/11, 10, -4, 1?
1
Which is the nearest to -1/7? (a) 4 (b) -2/3 (c) -3 (d) 2/11
d
What is the closest to 2/51 in 0.3, 3/4, -1/3?
0.3
Which is the closest to 1/3? (a) -44 (b) 5 (c) 4
c
Which is the nearest to 0? (a) -3 (b) 2 (c) 0.5
c
What is the nearest to -2/25 in 1/5, -3, 0.3?
1/5
Which is the closest to -0.1? (a) -2/37 (b) -1 (c) -0.2 (d) 3
a
Which is the nearest to 1? (a) 0.14 (b) -3 (c) -5
a
What is the nearest to -0.1 in 5, -1.1, 4, 0.2?
0.2
What is the closest to 2/5 in 1, 0, 0.1, 0.12?
0.12
Which is the nearest to -1/3? (a) 2 (b) 53 (c) 0.2 (d) -9
c
What is the closest to -0.1 in -1/8, 5, 1/4, -0.1?
-0.1
Which is the closest to 2/5? (a) 1/4 (b) 0.5 (c) 218
b
What is the closest to 1 in 2, 1, 5, 14?
1
Which is the nearest to -1? (a) -3 (b) 2 (c) 15/8
a
What is the nearest to -10 in -5, 0, -0.4?
-5
Which is the closest to -5? (a) -1/5 (b) -1 (c) 2/7
b
Which is the nearest to 0.3? (a) 3/5 (b) 4 (c) -5.7
a
Which is the nearest to 0.3? (a) -5 (b) -0.2 (c) 0 (d) 4
c
What is the closest to 0.3 in 76, -2, 3?
-2
Which is the nearest to -1? (a) 1/4 (b) 0.1 (c) 2
b
Which is the closest to -0.1? (a) -0.5 (b) 0.5 (c) -0.05
c
Which is the nearest to 13/2? (a) -1 (b) -2/7 (c) -16/3
b
What is the closest to -1/7 in 2, -198, -1?
-1
What is the nearest to -2/5 in -3, 1.09, 0?
0
Which is the nearest to 0? (a) -1/4 (b) -5 (c) -1139
a
Which is the nearest to 0.79? (a) -2/3 (b) -1/4 (c) 1 (d) -3/5
c
What is the nearest to -9 in -2, -5, -0.2, -4/3?
-5
Which is the closest to 1/5? (a) 0 (b) -53 (c) -2/9 (d) -4
a
What is the nearest to 0.026 in -1, 2, 3, 1/6?
1/6
What is the closest to -1/2 in 12, 0.1, -3/5, -0.5?
-0.5
Which is the nearest to -0.1? (a) -0.9 (b) -11 (c) -1.4
a
Which is the closest to 21? (a) 4 (b) -1 (c) -1/2
a
Which is the nearest to 0? (a) -6/11 (b) -1/5 (c) 0.3
b
What is the nearest to 0.1 in -1, -360, -0.3?
-0.3
Which is the nearest to -0.1? (a) -0.7 (b) 0.4 (c) -0.4
c
Which is the closest to 1/5? (a) -5/6 (b) -1/3 (c) -87
b
What is the nearest to -4/7 in 0.1, -14, 4, -5?
0.1
What is the nearest to -1/7 in -46, -1/8, 1?
-1/8
What is the closest to -4 in 4/7, 43, -4, 2/5?
-4
What is the nearest to -2/7 in 0.121, -18, 0.1?
0.1
What is the nearest to -1/4 in 2/5, 7.5, 2, -0.3?
-0.3
What is the closest to -9 in 0.103, -3, -0.5?
-3
Which is the closest to -2/5? (a) -0.2 (b) -1/11 (c) -2 (d) 5/3
a
What is the nearest to -0.03 in -0.2, 0.4, -55?
-0.2
What is the nearest to -0.1 in 2195, -0.2, 0.5?
-0.2
What is the closest to -9 in 0, -3, 0.5?
-3
What is the closest to 1 in -4, -3, 0.02?
0.02
Which is the nearest to 0.66? (a) 0 (b) 4 (c) 2
a
Which is the closest to 0.0643? (a) -1/7 (b) 4 (c) 0.5
| {
"pile_set_name": "DM Mathematics"
} |
uming q is positive.
q**(-1585/56)
Simplify a/a**15*(a*a**(-19))/a*a**(2/5)/(a*a**(-5)*a) assuming a is positive.
a**(-148/5)
Simplify (s/(s*s**(-2)*s))/(s**(-8/11)*s)*(s/s**(-14))/s**(23/3) assuming s is positive.
s**(266/33)
Simplify ((g**(-1/11))**(17/4))**(1/26) assuming g is positive.
g**(-17/1144)
Simplify (a**(2/17))**48*a**(2/17)/(a*a*a*a*a*a**21*a*a) assuming a is positive.
a**(-378/17)
Simplify ((q*(q/q**(3/10))/q*q/(q/q**(-5/3)))**(-2/17))**(-33) assuming q is positive.
q**(-319/85)
Simplify g/(g*g**(6/11))*g**(-15)*g**(2/15)*g/g**(-12/5) assuming g is positive.
g**(-1982/165)
Simplify d/(d**7/d)*d**15*d*(d*d/(d*d**(-3/10))*d)/d*d**(1/5) assuming d is positive.
d**(25/2)
Simplify (a**6/a*a**(16/7))**10 assuming a is positive.
a**(510/7)
Simplify ((t*t**(-1))**41/(t/(t/t**(1/2)))**7)**(-33) assuming t is positive.
t**(231/2)
Simplify (a**1/(a*a**(1/4)))/(a**(-2/13))**27 assuming a is positive.
a**(203/52)
Simplify (u**(-4)*u)**(8/9)*u**(-2/43)*u**9 assuming u is positive.
u**(811/129)
Simplify y**(-9)*y/(y**(1/15)*y)*(y/y**4)**(-3) assuming y is positive.
y**(-1/15)
Simplify (z**4/z*z**(-4)*z*(z/(z/z**(-1)))/(z/((z*z**0*z)/z*z)))**(-5/4) assuming z is positive.
1
Simplify ((g/g**4)/g**5)/(g*g**(-6/11)*g*g*g)**(-8) assuming g is positive.
g**(216/11)
Simplify (t**(-3/2))**(2/23)/(t*t**5*(t/(t*t*t**(-13/2)))/t) assuming t is positive.
t**(-489/46)
Simplify (((t/t**(2/23))/t)/t**(-18))**(-1/11) assuming t is positive.
t**(-412/253)
Simplify (z**(17/3))**10/(((z*z/(z**(1/8)*z*z))/z)/((z*z**(-7))/z)) assuming z is positive.
z**(1219/24)
Simplify (m*m/(m**(-7)*m)*m**(1/10))/((m*m/m**(-4/3))/(m/m**(-2/25))) assuming m is positive.
m**(877/150)
Simplify v*v**(-1/5)*v*v**12*v*(v*v**(3/8)*v)/v*(((v*v**0*v*v)/v)/v*v)/v assuming v is positive.
v**(687/40)
Simplify ((i*i*i**(-14)*i)/(i**(9/4)/i*i))/(i**(-8/3))**(-10/11) assuming i is positive.
i**(-2069/132)
Simplify (f**(1/10)/f**(-3/4))/(f**14/f**(-3/10)) assuming f is positive.
f**(-269/20)
Simplify (v*((v/(v/v**(-5)))/v)/v)**(2/63)*(((v/((v*v**(-1/2))/v))/v)/v)/v*(v*v**(-13)/v)/v assuming v is positive.
v**(-659/42)
Simplify ((u**(-1)/u)/u)/u**(-5/9)*(u**(-2/75))**(24/7) assuming u is positive.
u**(-3994/1575)
Simplify (u/u**(2/27)*u*u*u/((u**(1/6)/u)/u))/((u*u/u**(-8)*u)/u**(-14)) assuming u is positive.
u**(-1039/54)
Simplify ((t*t*t/t**(-6)*t)/((t/(t**(1/25)/t)*t)/t))/(t**(1/12)/t**10) assuming t is positive.
t**(5387/300)
Simplify ((((h**(4/9)*h)/h*h*h*h)/(h**4/h))/(((h/(h*h**(-1)/h*h)*h)/h*h*h*h)/(h**(3/4)/h)))**(-18/7) assuming h is positive.
h**(137/14)
Simplify (((c/c**(1/3))/c)/c)**(-24/13)/(c/c**(-4))**36 assuming c is positive.
c**(-2308/13)
Simplify (g*g**(1/9))/g**(-1/15)*g**3/(g*g**16) assuming g is positive.
g**(-577/45)
Simplify ((l*l**(1/8)*l)/l)/l*l*l*l*l*(l/(l*l**(-20)))/l*l*(l**(-1/15)*l)/l*((l**3*l)/l)/l assuming l is positive.
l**(3127/120)
Simplify (x/x**(-13))/(x**(4/3)*x)*(x**(-3))**(-5) assuming x is positive.
x**(80/3)
Simplify ((t**0/t)/(t*t/(t**(1/2)*t))*(t*t**(-12)/t*t)/(((t*t**(-7))/t)/t))**29 assuming t is positive.
t**(-261/2)
Simplify ((((j*j**(-2/15)*j)/j)**(-22/7))**(-4))**(-4/25) assuming j is positive.
j**(-4576/2625)
Simplify (b/b**(1/3))**7/(b**(-1/4))**(2/81) assuming b is positive.
b**(757/162)
Simplify ((b*b**(3/10))/(b**(-8)*b)*(b/b**(-2/9))**(-1/6))**35 assuming b is positive.
b**(7651/27)
Simplify ((p**(1/6)*p**(-2/47)*p)**29)**(4/19) assuming p is positive.
p**(18386/2679)
Simplify ((l*l**(-12/7)*l)/l**(-2/27))/((l*(l**(-2)*l*l)/l)/(l/(l/l**(-13)))) assuming l is positive.
l**(-2389/189)
Simplify ((s**33/s)/(s**(-19)/s))/(((s**28*s)/s)/s)**(-13) assuming s is positive.
s**403
Simplify (g**33*g*g**32)/(g**(-1/34)*g/g**(-2)) assuming g is positive.
g**(2143/34)
Simplify m**8/(m*m/(m*m**(-1/2)))*m**6/m*m**(-4)*m assuming m is positive.
m**(17/2)
Simplify (((b*b**(-1/6))**29)**(-20/7))**(-10/9) assuming b is positive.
b**(14500/189)
Simplify (((p*p*p**(3/8))**(-1/38))**(3/43))**(-15) assuming p is positive.
p**(45/688)
Simplify (z**(-1)/(z**(-2/39)/z))/(((z/z**(1/12)*z)/z)/((z*z/(z/(z*(((z*z/(z*z/(z/z**6*z)))/z)/z)/z*z*z*z)))/z)) assuming z is positive.
z**(-201/52)
Simplify ((b*b**9/b*b)/b)/(b*b/b**(2/9))*(b**12/b)/(b/(b*b**(-8/9)*b)*b) assuming b is positive.
b**(52/3)
Simplify ((r/(r/(r*r*r/(r/r**(-1/8)*r)*r)))/r**(-2/15))/((r/(((((r/(r/(r/r**(-12))))/r)/r*r)/r)/r)*r)/(r*r/r**7)) assuming r is positive.
r**(601/120)
Simplify (v**(-9/4)*v*v/((v**(-1/3)*v)/v))/(v*v**(-5))**(14/9) assuming v is positive.
v**(227/36)
Simplify (x**6/x)**(-33)*(x**1)**(14/5) assuming x is positive.
x**(-811/5)
Simplify (z**(4/7))**(4/9)*((z/(z*z**(1/5)*z)*z)/z)**(-10/3) assuming z is positive.
z**(268/63)
Simplify (z**(1/3)/z)**(-9)*((z**(-2)/z)/z*z*z)**(-5) assuming z is positive.
z**16
Simplify (k**(-7)*k/k**(-6))**(-47) assuming k is positive.
1
Simplify ((s*s**(-17)*s)/s)/s*s**(-1/4)*s**16/((s/(s*s**(8/9)))/s) assuming s is positive.
s**(23/36)
Simplify z**3/(z**(-2/7)/z*z)*(z*z**1*z)**27 assuming z is positive.
z**(590/7)
Simplify ((n**0)**27/(n*n*n**6/n*n/((n/(n/(n*n/(n*n**4))))/n)))**(-48) assuming n is positive.
n**576
Simplify (n/(n/(n*(n/n**(2/27))/n*n*n))*n/(n*n*n**(-1/5)*n))/(n*(n*n/n**14)/n*n/(n/n**(-8))) assuming n is positive.
n**(2852/135)
Simplify (u**(-13)/u)/u**(5/6)*u**(-4/17)*u/u**(-1/6)*u assuming u is positive.
u**(-658/51)
Simplify g/(g**(-7)/g)*g**(2/21)/g*(((g/g**(12/7))/g)/g)/g**(5/2) assuming g is positive.
g**(121/42)
Simplify (d/(d**(1/2)/d))**(-1/32)*((d/d**(-1/4))/d)**(-10/9) assuming d is positive.
d**(-187/576)
Simplify (g*g*g**5/g*(g/(g/(g/g**(-27))))/g)/(g**(5/8)*g)**(-10/7) assuming g is positive.
g**(989/28)
Simplify ((q**(-7)*q*q*q**(-2))/(q**(1/4)*q*q)**(-32))**41 assuming q is positive.
q**2665
Simplify ((q**(1/8)*q**(2/3))/(q**(-1/3)*q**(2/13)))**(-23) assuming q is positive.
q**(-2323/104)
Simplify (z/(z*z**9))**(3/8)*(z**(-1/4))**30 assuming z is positive.
z**(-87/8)
Simplify (m*m/((m*m/m**2)/m))**(5/8)*m**5*m*m**(-3/4)*m assuming m is positive.
m**(65/8)
Simplify ((h*h**(2/53))/h**(1/3))/((h*h**(-2/45))/(((h*h**(-2/19)*h)/h)/h)) assuming h is positive.
h**(-16151/45315)
Simplify ((m**0)**(1/27)/(m**(-1/5)/(((m/m**(-3/2))/m)/m)))**(-15) assuming m is positive.
m**(-21/2)
Simplify (t/((t*t**31/t*t*t)/t))/(t/(t/(t/(t*t**(-1/5)/t))*t*t))*t**(-6/19)*t**(3/4) assuming t is positive.
t**(-11311/380)
Simplify (w/w**(-5/7)*(w**13*w)/w*w*(w**4)**(-33))**(-2/35) assuming w is positive.
w**(1628/245)
Simplify (u**19*u/(u**(-19)*u)*u)/(((u**(-14)*u)/u)/(u*u**(-25))) assuming u is positive.
u**29
Simplify (((c/((c/(c/(c**(1/3)/c*c)))/c)*c)/c**(2/9))**(-2/51))**(-18) assuming c is positive.
c**(88/51)
Simplify (u*u**(-1/6))**(-1/12)*(u**0)**(3/19) assuming u is positive.
u**(-5/72)
Simplify ((m/((m/m**17)/m))/(m/(m*(m*m**(-2/7))/m)*m*m))/(m/(m*m**(-3))*m*m*m**(-2/3)*m*m) assuming m is positive.
m**(197/21)
Simplify ((q/q**(-3/10)*q)**(-2/91))**(-5/4) assuming q is positive.
q**(23/364)
Simplify ((k**(1/2)/(k**(2/25)*k*k))/(k*k/(k**(-3/4)/k))**(4/13))**(-15/4) assuming k is positive.
k**(5331/520)
Simplify (m/(m/m**(-27)))/m*m*(m/m**(-1/24))/m*(((m*m/(m**4/m))/m)/m)/(m**(3/10)*m) assuming m is positive.
m**(-3751/120)
Simplify (h**(2/21)/h)**(-2)*(h*h**(2/53)*h)**(-24) assuming h is positive.
h**(-52418/1113)
Simplify ((p**6*p**(-3/8))/(((p*(p/((p**(-6)*p)/p))/p)/p*p)/p**5))**0 assuming p is positive.
1
Simplify l*l**(-2/11)*l*l**(-1/4)*(l**(-3))**(-1/2) assuming l is positive.
l**(135/44)
Simplify (j**(-3/8)/(j**(7/3)*j))/(j/j**(-7)*j)**(11/6) assuming j is positive.
j**(-485/24)
Simplify (j*j**5)**(2/11)*(((j/j**(-5))/j*j)/j*j)/j**(6/7) assuming j is positive.
j**(480/77)
Simplify z**14*z**(-20)*z**(5/6)/z**(2/45) assuming z is positive.
z**(-469/90)
Simplify (b**3*b)**(-10/9)/(b*b*(b/(b/b**(-11)*b*b))/b*((b/(b**27*b))/b)/b) assuming b is positive.
b**(329/9)
Simplify ((z*z*z**(-11/6)/z)/z*z**18)/(z**(7/4)*z*z*z**(2/41)) assuming z is positive.
z**(6085/492)
Simplify (j*j/((((j/(j/j**(1/31)))/j)/j)/j*j)*(j/(j/(j*j/j**(-8)))*j)/j)/(j*j*j/(j*j*j**(2/31)*j)*j**(-1/6)/j) assuming j is positive.
j**(2827/186)
Simplify ((w*w**(2/29)*w**(-2/7))**(4/21))**(14/13) assuming w is positive.
w**(424/2639)
Simplify ((j**18)**19)**(3/14) assuming j | {
"pile_set_name": "DM Mathematics"
} |
1*sqrt(63) + sqrt(63))/sqrt(9) + sqrt(14)/sqrt(32).
9*sqrt(7)/4
Simplify (2*-2*sqrt(448) + 2)**2.
-128*sqrt(7) + 7172
Simplify (-4*sqrt(684)*4)**2.
175104
Simplify ((sqrt(44) + sqrt(396) + sqrt(44) - sqrt(44))*-3)/(sqrt(432)/sqrt(12)) + -3.
-4*sqrt(11) - 3
Simplify -5*(2 + sqrt(45)).
-15*sqrt(5) - 10
Simplify (4 + sqrt(128) + sqrt(128) + sqrt(2))**2 - sqrt(20)/((sqrt(10)*-4 - sqrt(10)) + sqrt(10)).
545*sqrt(2)/4 + 594
Simplify (sqrt(320)*1*1)**2.
320
Simplify (-3*3*sqrt(252)*2*5)**2.
2041200
Simplify 2 + 3*sqrt(19) - (1 + sqrt(19)*-4).
1 + 7*sqrt(19)
Simplify -1*sqrt(176) + 4 - (-2 + sqrt(176))**2*-6.
-100*sqrt(11) + 1084
Simplify (sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605)*1*-3 + sqrt(605))**2 - 2*(sqrt(605) + -1).
-22*sqrt(5) + 607
Simplify (2 + sqrt(18))**2 - (sqrt(8)/sqrt(144))**2.
12*sqrt(2) + 395/18
Simplify sqrt(112)*1 + sqrt(7) + sqrt(112)*-1 + sqrt(7).
2*sqrt(7)
Simplify ((-5*(sqrt(156) - 1*sqrt(156)))/sqrt(12))**2.
0
Simplify (-1 + sqrt(13))*2 - sqrt(91)/sqrt(112).
-2 + 7*sqrt(13)/4
Simplify sqrt(5) - (sqrt(245) + 1)**2 - (sqrt(20)/(sqrt(4)*-3))**2.
-2219/9 - 13*sqrt(5)
Simplify ((-2 + -1 + sqrt(2299) + sqrt(2299))*1*-2)**2.
-528*sqrt(19) + 36820
Simplify (((sqrt(660) - (sqrt(660) - (sqrt(660) - sqrt(660)*1)))/sqrt(11))/(-2*sqrt(192)))**2.
0
Simplify -5*(sqrt(18)/(-3*sqrt(6)*-1) + 5).
-25 - 5*sqrt(3)/3
Simplify (1 + -4*sqrt(931))**2.
-56*sqrt(19) + 14897
Simplify ((-3*sqrt(495))/sqrt(9))/(sqrt(88)/(sqrt(128) + sqrt(8))).
-15*sqrt(5)
Simplify -6*(sqrt(3) + 1) + (sqrt(48) - (0 + sqrt(48) - sqrt(48)) - sqrt(48))**2 + -1.
-6*sqrt(3) - 7
Simplify ((sqrt(1331) + sqrt(1331) + -2*(sqrt(1331) + -1))*-3)**2.
36
Simplify (sqrt(720) + 2 + 2)**2 - 1*sqrt(720)*3.
60*sqrt(5) + 736
Simplify -1 + sqrt(272)*1.
-1 + 4*sqrt(17)
Simplify -2 + sqrt(49)/(2*sqrt(21)/sqrt(3)).
-2 + sqrt(7)/2
Simplify 3 + -5*((4 + sqrt(8)/sqrt(4))**2 + (1*sqrt(10))/sqrt(5)).
-87 - 45*sqrt(2)
Simplify (-3 + -1*sqrt(891))**2 + 3 + sqrt(891)*-2.
36*sqrt(11) + 903
Simplify (1*sqrt(448) + sqrt(336)/sqrt(108))**2.
4732/9
Simplify (sqrt(33)*1)/sqrt(11) + 4.
sqrt(3) + 4
Simplify sqrt(36)/((sqrt(108) + sqrt(12))*6 + sqrt(12)).
sqrt(3)/25
Simplify (sqrt(104) + (sqrt(104) - 3*sqrt(104)*5))/((sqrt(64) + -3*sqrt(64))/sqrt(8)).
13*sqrt(13)/2
Simplify 5 + sqrt(1377)*-2 + (sqrt(204) - 4*1*sqrt(204))/sqrt(12).
-21*sqrt(17) + 5
Simplify 2 + -1*sqrt(7) - 2*sqrt(7)*2.
-5*sqrt(7) + 2
Simplify ((-3*sqrt(252))/sqrt(4))/(sqrt(441)*-1 - sqrt(441)).
3*sqrt(7)/14
Simplify (sqrt(1300) + -1 + -3)**2.
-80*sqrt(13) + 1316
Simplify sqrt(1100) - (sqrt(1100) + ((sqrt(1100) + -1)*3)**2).
-9909 + 180*sqrt(11)
Simplify ((2*-3*sqrt(204) + sqrt(204))/((sqrt(72) - (sqrt(72) - ((1*sqrt(72) - sqrt(72)) + sqrt(72))))/sqrt(6)))**2.
425
Simplify (sqrt(11) - (sqrt(11)*-2 + -5) - sqrt(11)) + 1.
6 + 2*sqrt(11)
Simplify sqrt(77)/(-2*sqrt(704)) - (-2*(sqrt(42) + sqrt(84)/sqrt(2)))/sqrt(6).
63*sqrt(7)/16
Simplify (2 + sqrt(2) + 1)**2 + sqrt(2) - (-1 + sqrt(50)).
2*sqrt(2) + 12
Simplify (sqrt(5)*1)**2 + 1 + (-3 + sqrt(5) + -2 + sqrt(5))**2.
-20*sqrt(5) + 51
Simplify (sqrt(20)/(sqrt(10) - ((1*sqrt(490) - sqrt(490)) + sqrt(490) + sqrt(490))))**2.
2/169
Simplify ((sqrt(72) - (sqrt(72) + sqrt(72) + 1)*2 - sqrt(72) - sqrt(72)) + -4)**2.
360*sqrt(2) + 1836
Simplify 5 + (3*(sqrt(153) - -2*sqrt(153)))**2.
12398
Simplify (1*sqrt(1900) + 1 + 0 + -1 + sqrt(1900))**2.
7600
Simplify 4*(1*sqrt(117)*-3 - sqrt(117))/(sqrt(9) + (sqrt(81)/sqrt(3))/sqrt(3)).
-8*sqrt(13)
Simplify (sqrt(11)*-2 + sqrt(11))*6 - sqrt(44)/(-1*sqrt(4)).
-5*sqrt(11)
Simplify (sqrt(5) + -3)*2 - (-3*sqrt(35))/sqrt(7).
-6 + 5*sqrt(5)
Simplify (-2*(sqrt(1053) + (-3*sqrt(1053)*2 - sqrt(1053)) - 2*(sqrt(1053) + -1)))**2.
-1152*sqrt(13) + 269584
Simplify 1*sqrt(847) + -2.
-2 + 11*sqrt(7)
Simplify ((sqrt(153) + (sqrt(153) - (2 + sqrt(153))))*-1)**2.
-12*sqrt(17) + 157
Simplify 2 + (sqrt(19)*-1*-6 - (-3 + sqrt(38)/sqrt(2)))**2.
30*sqrt(19) + 486
Simplify 6*sqrt(76)/sqrt(4)*2.
12*sqrt(19)
Simplify -1 + (1 + 1*sqrt(2299))**2.
22*sqrt(19) + 2299
Simplify ((sqrt(17) + -3*(sqrt(17) + -1))**2 - -2*sqrt(153)) + -2.
-6*sqrt(17) + 75
Simplify (sqrt(136)/(sqrt(16)/sqrt(4)))/(sqrt(14)/(sqrt(14)/sqrt(2))).
sqrt(17)
Simplify (sqrt(500) + (sqrt(500) - (sqrt(500) + 1 + sqrt(500)))*-2)**2 + 0.
120*sqrt(5) + 4504
Simplify (2*1*sqrt(180)*1*1)**2.
720
Simplify 5 + sqrt(99) + -3*sqrt(11) + 1.
6
Simplify 5*(sqrt(168)*6)/(-1*sqrt(24)).
-30*sqrt(7)
Simplify (sqrt(80) + -3 + (1 + sqrt(1620) - sqrt(20)))**2.
-80*sqrt(5) + 2004
Simplify sqrt(55)/(sqrt(1100) - sqrt(11)) - (sqrt(180) - 3*sqrt(180)).
109*sqrt(5)/9
Simplify 6*(-2 + sqrt(11)) + (sqrt(11) - sqrt(55)/sqrt(5)*5).
-12 + 2*sqrt(11)
Simplify 5*(2 + sqrt(300)).
10 + 50*sqrt(3)
Simplify (3*(sqrt(70)*-2 + sqrt(70) - sqrt(70) - sqrt(70)))/(sqrt(810)*3).
-sqrt(7)/3
Simplify (sqrt(8064)*2)/sqrt(8).
24*sqrt(7)
Simplify sqrt(35)/(sqrt(15)/(sqrt(15)/sqrt(5))).
sqrt(7)
Simplify sqrt(13) + 1*sqrt(1053) - 1*sqrt(13)*-6.
16*sqrt(13)
Simplify ((2 + sqrt(475)*-2)*-5*-2)**2.
-4000*sqrt(19) + 190400
Simplify (2*(sqrt(11) + -1))**2 + -3 + 1 + sqrt(11).
-7*sqrt(11) + 46
Simplify (sqrt(204) + (sqrt(204) - (-1*sqrt(204) + sqrt(204))*3 - sqrt(204)) - sqrt(204) - sqrt(204))/(sqrt(36)/(2*sqrt(3))).
-2*sqrt(17)
Simplify ((sqrt(684) + 0 + 0 - sqrt(684)) + (sqrt(304) - (1*sqrt(304) + -4)))**2.
16
Simplify 1 + sqrt(40)/sqrt(72).
sqrt(5)/3 + 1
Simplify sqrt(40)/sqrt(72) + 5.
sqrt(5)/3 + 5
Simplify (sqrt(117) + (sqrt(117) - -1*sqrt(117)*-1) - sqrt(117))/sqrt(9).
0
Simplify ((-1 + sqrt(1377))*-2 - (sqrt(1377) - (-3 + (sqrt(1377) - (sqrt(1377) + 0)))))**2.
54*sqrt(17) + 12394
Simplify sqrt(130)/(sqrt(20)/sqrt(2)) - (sqrt(13) + 0 + sqrt(117)).
-3*sqrt(13)
Simplify -1*1*sqrt(162) - sqrt(162).
-18*sqrt(2)
Simplify (sqrt(228) + sqrt(228) + sqrt(228)*3 + sqrt(228) - sqrt(228) - sqrt(228))/sqrt(12)*-5.
-20*sqrt(19)
Simplify sqrt(245) + 1 + -1.
7*sqrt(5)
Simplify (4 + 2*sqrt(20))*5.
20 + 20*sqrt(5)
Simplify -3 + ((sqrt(13) + (sqrt(13) + sqrt(117) + sqrt(13) + -3 - sqrt(13)))*3*2)**2.
-1080*sqrt(13) + 12021
Simplify (1*(sqrt(117) - (sqrt(117) - sqrt(117)*1*5))*-3)**2.
26325
Simplify -1*(sqrt(13) + 2 + sqrt(637)).
-8*sqrt(13) - 2
Simplify (((sqrt(190) - (sqrt(190) + sqrt(190) + (-3*sqrt(190) - sqrt(190)))) + sqrt(190))*1)/((1*sqrt(110))/sqrt(11)).
4*sqrt(19)
Simplify (sqrt(10)/(sqrt(45)/sqrt(9)*-3))**2*4.
8/9
Simplify -2 + (-1*sqrt(275) - sqrt(275))**2 + (sqrt(1331) - (sqrt(1331) + sqrt(1331) + 0 + sqrt(1331))**2).
-10881 + 11*sqrt(11)
Simplify (sqrt(240)/(sqrt(36)/sqrt(3) + sqrt(12)))/(-1*(sqrt(4) - sqrt(36))).
sqrt(5)/4
Simplify (sqrt(22) - 2*sqrt(198))/(-2*sqrt(11)*1).
5*sqrt(2)/2
Simplify ((sqrt(1100)*1 + 1 - sqrt(1100)) + sqrt(1100) + -5*(sqrt(1100) + 0))**2.
-80*sqrt(11) + 17601
Simplify ((sqrt(27) + 4*-1*sqrt(27))/((sqrt(9) + sqrt(9) + sqrt(225))*-6))**2.
3/196
Simplify (sqrt(1377) - (sqrt(1377) + -3))*6 + 5.
23
Simplify (-5 + -1*(sqrt(19) + (sqrt(19) - (sqrt(19) + 0)) + 4 + (sqrt(171) - (sqrt(171) + -1))))**2.
20*sqrt(19) + 119
Simplify sqrt(117) + -3 - sqrt(13) - (5 + -1*sqrt(13) + sqrt(13))**2.
-28 + 2*sqrt(13)
Simplify (sqrt(7) - (-2 + sqrt(700))) + 2.
-9*sqrt(7) + 4
Simplify -5*(sqrt(19) - ((sqrt(475))**2 + 2)).
-5*sqrt(19) + 2385
Simplify ((sqrt(76) + 5 - sqrt(76)) + sqrt(76))**2*3*4.
240*sqrt(19) + 1212
Simplify 4*(-1*sqrt(34))/sqrt(2) + -2.
-4*sqrt(17) - 2
Simplify (2 + sqrt(32) + sqrt(2) - (-3 + sqrt(2) + sqrt(8)/sqrt(4))) + -1.
4 + 3*sqrt(2)
Simplify -3*((sqrt(50)*-2)/sqrt(10))**2 + -5.
-65
Simplify (sqrt(2299)*-1)**2 + -1*sqrt(475).
-5*sqrt(19) + 2299
Simplify ((sqrt(363) - (sqrt(363) - (sqrt(363) + -3*sqrt(363) + sqrt(363)) - sqrt(363)))**2 - sqrt(363)) + -3.
-11*sqrt(3) - 3
Simplify -2 + sqrt(4)/sqrt(2) - (sqrt(2) + (-1*sqrt(8))/sqrt(4)).
-2 + sqrt(2)
Simplify sqrt(44)/(sqrt(4) - 1*sqrt(400)).
-sqrt(11)/9
Simplify sqrt(5) + (sqrt(5) - (0 + sqrt(5) - sqrt(5))**2)*1 - sqrt(5) - ((-1*sqrt(720))**2 + sqrt(5)).
-720
Simplify 1 + (sqrt(3) - sqrt(27))**2 + 1 + 0 + sqrt(3).
sqrt(3) + 14
Simplify (sqrt(6336) - ((sqrt(6336) - (sqrt(6336) - 4*(1*sqrt(6336) + sqrt(6336)))) + sqrt(6336)))**2.
405504
Simplify 4*(0 + ((sqrt(200)/sqrt(4) + sqrt(50))/sqrt(10))**2).
80
Simplify sqrt(26)/(sqrt(198)/sqrt(11)) + -1.
-1 + sqrt(13)/3
Simplify -5 + sqrt(288) + 1 + 2.
-2 + 12*sqrt(2)
S | {
"pile_set_name": "DM Mathematics"
} |
, 0.054, 5, 243
Put 12, 63, -4, 39, 6, 1 in increasing order.
-4, 1, 6, 12, 39, 63
Put 10/3, -0.3, -5/8, 47.475, 3/5 in ascending order.
-5/8, -0.3, 3/5, 10/3, 47.475
Sort -3, 177, -5, 12057 in ascending order.
-5, -3, 177, 12057
Sort 0.018, 125, 16.
0.018, 16, 125
Sort 74/5, 1088, 8 in descending order.
1088, 74/5, 8
Sort -5, 13, 5, -64, 2, 3, 7 in ascending order.
-64, -5, 2, 3, 5, 7, 13
Put -77, 0.2, -0.063, 67 in descending order.
67, 0.2, -0.063, -77
Sort 5, -5, 2/9, 4/31, -16, -7/48 in decreasing order.
5, 2/9, 4/31, -7/48, -5, -16
Sort -4, -18, -425, 2, 9, -3 in ascending order.
-425, -18, -4, -3, 2, 9
Sort -2, -2833, -19, 1/107 in ascending order.
-2833, -19, -2, 1/107
Put -0.06, 0.4, 1, -2, -4, 177/4 in descending order.
177/4, 1, 0.4, -0.06, -2, -4
Put -1, 0, -139, 20, -4, 116, -2 in descending order.
116, 20, 0, -1, -2, -4, -139
Sort 1, -3, 85, -4, 902, 362 in ascending order.
-4, -3, 1, 85, 362, 902
Put 0.18, -4/7, 8.8, -3/185 in decreasing order.
8.8, 0.18, -3/185, -4/7
Sort 3, -3, -1, 24, -28, 2 in descending order.
24, 3, 2, -1, -3, -28
Sort -17, -6, -16720 in descending order.
-6, -17, -16720
Put -111, -6, 365, 3 in decreasing order.
365, 3, -6, -111
Sort 19, -3, 0.256, -1, 5, -1/10 in increasing order.
-3, -1, -1/10, 0.256, 5, 19
Sort 5, -3/5, -6, 1/4, 0.24, -1285 in descending order.
5, 1/4, 0.24, -3/5, -6, -1285
Put 5, 3, -3.9593 in descending order.
5, 3, -3.9593
Put -3/11, 74, -10.537, -0.3 in descending order.
74, -3/11, -0.3, -10.537
Put 4, 7, -280, 1/4, 2, 1 in decreasing order.
7, 4, 2, 1, 1/4, -280
Put 1/7, 3/2, 0.08, 0, -2809, 3, 5 in descending order.
5, 3, 3/2, 1/7, 0.08, 0, -2809
Sort 3, -0.2, -7, -43369/14 in increasing order.
-43369/14, -7, -0.2, 3
Sort -9, 7, 35812, -5, 3 in descending order.
35812, 7, 3, -5, -9
Put -9, 5, 4202, -83, -2 in increasing order.
-83, -9, -2, 5, 4202
Sort -1, 631, 3, 2, 2684.
-1, 2, 3, 631, 2684
Sort -1020, 1563, -1 in descending order.
1563, -1, -1020
Sort 19479, 3, -0.5, -6/7, 1/4, 0.5 in decreasing order.
19479, 3, 0.5, 1/4, -0.5, -6/7
Put -2180381, 1, 2, 32 in decreasing order.
32, 2, 1, -2180381
Sort -4, -182946, -3, -10, 32 in increasing order.
-182946, -10, -4, -3, 32
Sort -279.4741, -1, 2/7 in increasing order.
-279.4741, -1, 2/7
Put -19/24696, -0.1, -30 in decreasing order.
-19/24696, -0.1, -30
Sort 0, -4, 5, -0.5, 17815/111 in decreasing order.
17815/111, 5, 0, -0.5, -4
Sort 14, 1608, -133.
-133, 14, 1608
Put -3, 5, 3, 47, 0, -127, -5 in descending order.
47, 5, 3, 0, -3, -5, -127
Put 7, 2, 10, -3, 6, 0, 39 in ascending order.
-3, 0, 2, 6, 7, 10, 39
Sort -7, -4, 2130777, 2, 4 in decreasing order.
2130777, 4, 2, -4, -7
Sort -2, 11, -238, 15, -5 in increasing order.
-238, -5, -2, 11, 15
Sort 5, 3, 1, -2345, 4, -185 in descending order.
5, 4, 3, 1, -185, -2345
Sort 0, -1/641, 1239/101 in descending order.
1239/101, 0, -1/641
Sort -7, -5, -5/8, 2/398147 in decreasing order.
2/398147, -5/8, -5, -7
Put 4, 254445, 19 in ascending order.
4, 19, 254445
Sort 0, -13, 11, -17288, -3, -5 in increasing order.
-17288, -13, -5, -3, 0, 11
Sort 0.333, -0.03, -72, -3, 0.3 in ascending order.
-72, -3, -0.03, 0.3, 0.333
Put 166, 123.5, 2/25, -1, 0.5 in ascending order.
-1, 2/25, 0.5, 123.5, 166
Put 2, 3, -1, -0.6, 187, -26 in decreasing order.
187, 3, 2, -0.6, -1, -26
Put 1, 108, -22, -214 in descending order.
108, 1, -22, -214
Put -148, -299, 75 in decreasing order.
75, -148, -299
Put -16, -8, 5, 0, -2, -665 in descending order.
5, 0, -2, -8, -16, -665
Sort 5, -71, 4, 0.4, -11, 0.1, 23/9 in descending order.
5, 4, 23/9, 0.4, 0.1, -11, -71
Put 0, 236, 4, -232, 3, -13, 2 in descending order.
236, 4, 3, 2, 0, -13, -232
Sort 56, -7, -120, 3, -2 in descending order.
56, 3, -2, -7, -120
Put 11976, -4, -2, -247, -5 in descending order.
11976, -2, -4, -5, -247
Sort 0, -8, -21.3, 4, -1.324 in descending order.
4, 0, -1.324, -8, -21.3
Put 64, -1, 0.1, -1/4, -4, 33, 53 in increasing order.
-4, -1, -1/4, 0.1, 33, 53, 64
Sort -2/45, 271, -0.056, -0.017 in increasing order.
-0.056, -2/45, -0.017, 271
Sort -238091, 0, -5, -4 in decreasing order.
0, -4, -5, -238091
Put 3, -14389, 9, 5 in decreasing order.
9, 5, 3, -14389
Sort -10428, 72, 0.5, -0.4, 5 in ascending order.
-10428, -0.4, 0.5, 5, 72
Sort 24, 199, -4, 76, 4 in descending order.
199, 76, 24, 4, -4
Put 11, -4, 2, 19, 208, -215 in increasing order.
-215, -4, 2, 11, 19, 208
Put 14, -7, 1, 79, -6, 40 in ascending order.
-7, -6, 1, 14, 40, 79
Put -2, -11, -10, -438 in decreasing order.
-2, -10, -11, -438
Sort -3, -8, -5, 17, -807, 32.
-807, -8, -5, -3, 17, 32
Put -1740, 184, 46 in ascending order.
-1740, 46, 184
Put -9, 3, 0.01, 2.7, -200, -7 in descending order.
3, 2.7, 0.01, -7, -9, -200
Sort 48376, -10, -11, 3 in decreasing order.
48376, 3, -10, -11
Put 961440, -2/9, 20 in decreasing order.
961440, 20, -2/9
Put 153, 3, -271, 230 in decreasing order.
230, 153, 3, -271
Sort -72, 15, 6, -12, -5, 2 in descending order.
15, 6, 2, -5, -12, -72
Sort -2823, 1/10, 4, -0.3, 3, -1/20 in increasing order.
-2823, -0.3, -1/20, 1/10, 3, 4
Sort 6, 7, 4, -4/9, 3/214, 8 in decreasing order.
8, 7, 6, 4, 3/214, -4/9
Put 1/6, 3592, 1, -3/22, 39, 3/4 in ascending order.
-3/22, 1/6, 3/4, 1, 39, 3592
Sort -6, -4, 5, 3485, -3, 6.
-6, -4, -3, 5, 6, 3485
Sort 8, 2, 2655, -10, 1 in ascending order.
-10, 1, 2, 8, 2655
Put 3/8, 1.1, 0.3, 22982.22 in increasing order.
0.3, 3/8, 1.1, 22982.22
Sort -3595912, -4, 0, 13 in decreasing order.
13, 0, -4, -3595912
Sort -3, 258, 2, -5, -8599 in ascending order.
-8599, -5, -3, 2, 258
Sort 545, -2, -5, 13, -7, -1, 3 in ascending order.
-7, -5, -2, -1, 3, 13, 545
Sort 4/11, -9, 1/69, 449.
-9, 1/69, 4/11, 449
Sort -3, 62, 549, -4, 7 in decreasing order.
549, 62, 7, -3, -4
Put 2049001, -3, 0, 5 in decreasing order.
2049001, 5, 0, -3
Sort 467, -43704, 5 in decreasing order.
467, 5, -43704
Put 166481, 1, 4, -1, -2 in decreasing order.
166481, 4, 1, -1, -2
Sort -99, -1468, -47 in decreasing order.
-47, -99, -1468
Sort 152, 4, 9, 1928.
4, 9, 152, 1928
Sort -25, -5, -138, 2, 1, -1, 445 in decreasing order.
445, 2, 1, -1, -5, -25, -138
Sort -49, 41, -18, 1/4, 4, 5/3, -1 in descending order.
41, 4, 5/3, 1/4, -1, -18, -49
Put -163233, -5, -38 in increasing order.
-163233, -38, -5
Sort -3, 4, 13923, -2/3, 647, 3, -1.
-3, -1, -2/3, 3, 4, 647, 13923
Sort -12, -91537, -125 in increasing order.
-91537, -125, -12
Put -5, 11, -1609084 in decreasing order.
11, -5, -1609084
Sort -1, 18, 5, 973, 20 in descending order.
973, 20, 18, 5, -1
Put -5, -8, 8, -19, -33, 4 in increasing order.
-33, -19, -8, -5, 4, 8
Put 1875, 1, 0, 14, 36, -1 in increasing order.
-1, 0, 1, 14, 36, 1875
Sort -38268, 1, 65, -5.
-38268, -5, 1, 65
Sort 28, -3, 403942, -2, 2.
-3, -2, 2, 28, 403942
Sort 8, -1/30, 2/9, -1, 656 in decreasing order.
656, 8, 2/9, -1/30, -1
Sort -17, 0.211, -11, 1/4, -3.
-17, -11, -3, 0.211, 1/4
Sort 6/7, 2/17, 9/245, 4/11 in decreasing order.
6/7, 4/11, 2/17, 9/245
Sort 219, 2535, 5, 1, 2 in decreasing order.
2535, 219, 5, 2, 1
Sort -1345, 892, 0.22, 0 in decreasing order.
892, 0.22, 0, -1345
Sort 4, 3, -2, -1, -9, 273720 in descending order.
273720, 4, 3, -1, -2, -9
Sort -158.65287, 1/2, 2 in decreasing order.
2, 1/2, -158.65287
Sort 36, 3, -3, -0.51, -4, -1, -80 in decreasing order.
36, 3, -0.51, -1, -3, -4, -80
Put -68, 4, -97361, 5, 0 in increasing order.
-97361, -68, 0, 4, 5
Sort -208, -2, 1582, 5 in descending order.
1582, 5, -2, -208
Put -12257, 2/9, -362/5 in increasing order.
-12257, -362/5, 2/9
Put 0, -11.6344, 3/7 in descending order.
3/7, 0, -11.6344
Sort -6, 8, 5, -5, -36, 9 in decreasing order.
9, 8, 5, -5, -6, -36
Put -3, -0.3, -5, -600, 472, 3 in increasing order.
-600, -5, -3, -0.3, 3, 472
Sort 4, -27481, -2, -5, -11, -1, -8 in increasing order.
-27481, -11, -8, -5, -2, -1, 4
Sort 4283956, 1, -5 in descending order.
4283956, 1, -5
Sort -70, 9, -14, -5, 2, 11, 0.
-70, -14, -5, 0, 2, 9, 11
Sort 4831, 42, -5, -1 in increasing order.
-5, -1, 42, 4831
Put -1/6, -2/29, -172.704, -1 in descending order.
-2/29, -1/6, -1, -172.704
Put -10, -36, 2/5, 39, 2, -2/75 in decreasing order.
39, 2, 2/5, -2/75, -10, -36
Sort 2, -11, 0, 6, 75 in decreasing order.
75, 6, 2, 0, -11
Put 5, 476, 440, 3, -2/23 in increasing order.
-2/23, 3, 5, 440, 476
Put 6208, 18, - | {
"pile_set_name": "DM Mathematics"
} |
13
Calculate prob of sequence folf when four letters picked without replacement from ffzloooloz.
1/315
Two letters picked without replacement from wtttwwwwtwwttwwtttw. Give prob of sequence tw.
5/19
Two letters picked without replacement from uuturmutqurtmumr. Give prob of sequence tt.
1/40
Calculate prob of sequence yyys when four letters picked without replacement from {r: 1, s: 7, y: 6}.
5/143
Calculate prob of sequence xxo when three letters picked without replacement from oxxx.
1/4
Three letters picked without replacement from benco. What is prob of sequence nbo?
1/60
Three letters picked without replacement from {k: 2, v: 1, p: 1, l: 1, o: 1, b: 1}. What is prob of sequence pbk?
1/105
Calculate prob of sequence bbb when three letters picked without replacement from {d: 16, b: 4}.
1/285
Three letters picked without replacement from {a: 15, e: 4}. Give prob of sequence eee.
4/969
Four letters picked without replacement from ihryrpiroypryrriir. What is prob of sequence iioi?
1/3060
Three letters picked without replacement from ippaaiii. Give prob of sequence ppi.
1/42
Three letters picked without replacement from {p: 1, n: 5, z: 7, u: 5}. Give prob of sequence nzu.
175/4896
Four letters picked without replacement from {o: 1, k: 2, z: 2, g: 1}. Give prob of sequence ozgz.
1/180
Three letters picked without replacement from kekrgeqyqeky. What is prob of sequence yye?
1/220
Four letters picked without replacement from tfttifiifttf. Give prob of sequence iiit.
1/396
What is prob of sequence dt when two letters picked without replacement from tdvvvvttdvvvt?
2/39
Calculate prob of sequence fwo when three letters picked without replacement from oooowooooooofo.
1/182
Four letters picked without replacement from {v: 3, d: 2, f: 2, h: 2}. What is prob of sequence dfdh?
1/378
Four letters picked without replacement from {m: 6, t: 2}. What is prob of sequence tmmm?
1/7
Three letters picked without replacement from {x: 2, i: 4, j: 2, d: 3, a: 2}. What is prob of sequence dxi?
2/143
Three letters picked without replacement from onoeondoodo. What is prob of sequence dnn?
2/495
Four letters picked without replacement from twhtcft. What is prob of sequence hcwf?
1/840
Three letters picked without replacement from ytqqyykkxytyyktytyxk. Give prob of sequence tqx.
2/855
Two letters picked without replacement from eewzwzwwzezgzewgep. Give prob of sequence ww.
10/153
Three letters picked without replacement from {i: 4, o: 1, w: 2, y: 2, d: 4, p: 7}. What is prob of sequence yyi?
1/855
Three letters picked without replacement from {v: 5, o: 3, b: 3, n: 3, l: 1, a: 3}. What is prob of sequence abo?
3/544
Three letters picked without replacement from {h: 3, u: 3, t: 1, x: 2, z: 1, g: 5}. What is prob of sequence xhg?
1/91
What is prob of sequence zww when three letters picked without replacement from {z: 2, w: 14, j: 1}?
91/1020
What is prob of sequence ek when two letters picked without replacement from {e: 1, k: 3}?
1/4
Four letters picked without replacement from jxxyjjrjxj. Give prob of sequence yjxr.
1/336
What is prob of sequence esl when three letters picked without replacement from {l: 7, e: 1, s: 1}?
1/72
Calculate prob of sequence uh when two letters picked without replacement from qqlpeuhqheeplq.
1/91
What is prob of sequence vk when two letters picked without replacement from {k: 15, v: 5}?
15/76
Calculate prob of sequence wd when two letters picked without replacement from {w: 2, d: 2, e: 1, c: 11}.
1/60
What is prob of sequence rrw when three letters picked without replacement from {q: 5, r: 4, w: 1, j: 3}?
1/143
Two letters picked without replacement from wibywgigiigibggw. What is prob of sequence gb?
1/24
What is prob of sequence pl when two letters picked without replacement from {l: 2, s: 8, p: 8}?
8/153
Calculate prob of sequence zhyh when four letters picked without replacement from {y: 1, h: 3, f: 3, s: 6, z: 5}.
1/2448
What is prob of sequence tikt when four letters picked without replacement from lxiikiltlktxxll?
1/2730
Three letters picked without replacement from {o: 10, y: 4, n: 5}. Give prob of sequence ynn.
40/2907
Four letters picked without replacement from {n: 3, e: 4}. What is prob of sequence eenn?
3/35
Calculate prob of sequence bbvv when four letters picked without replacement from bvvbvvvvvvv.
1/55
Four letters picked without replacement from grrbrrrdw. What is prob of sequence wbdr?
5/3024
What is prob of sequence wq when two letters picked without replacement from cchqcnwoqww?
3/55
What is prob of sequence xix when three letters picked without replacement from ifxiirirrx?
1/90
Three letters picked without replacement from hhsrrhsbssbhhhhh. Give prob of sequence rsb.
1/210
Three letters picked without replacement from {z: 3, j: 3, v: 1, w: 3, t: 2, g: 1}. What is prob of sequence vzw?
3/572
What is prob of sequence usw when three letters picked without replacement from wus?
1/6
What is prob of sequence hip when three letters picked without replacement from {b: 2, i: 4, h: 4, p: 2}?
4/165
Calculate prob of sequence pw when two letters picked without replacement from wwpwpppppppwppwwppp.
13/57
What is prob of sequence ht when two letters picked without replacement from {h: 5, t: 2, v: 2, k: 3}?
5/66
What is prob of sequence ll when two letters picked without replacement from llddllllllldllll?
13/20
Calculate prob of sequence kqk when three letters picked without replacement from {k: 16, q: 4}.
8/57
Four letters picked without replacement from {m: 1, c: 5, s: 1, y: 2, u: 3}. What is prob of sequence cmsu?
1/792
Calculate prob of sequence pd when two letters picked without replacement from odoodpop.
1/14
Two letters picked without replacement from {o: 2, m: 2, s: 2}. What is prob of sequence oo?
1/15
Two letters picked without replacement from xtxtxrxxrrtttrrtrxx. What is prob of sequence xr?
7/57
Three letters picked without replacement from {i: 1, v: 4, y: 2, c: 3, q: 1}. Give prob of sequence yqc.
1/165
What is prob of sequence epee when four letters picked without replacement from {e: 4, p: 3}?
3/35
What is prob of sequence cc when two letters picked without replacement from {c: 8, v: 3}?
28/55
What is prob of sequence gng when three letters picked without replacement from {b: 4, a: 1, n: 2, v: 6, g: 3}?
1/280
Four letters picked without replacement from {s: 1, w: 1, u: 1, d: 1, g: 1}. Give prob of sequence gsdw.
1/120
Two letters picked without replacement from dfzkzd. What is prob of sequence fd?
1/15
What is prob of sequence pi when two letters picked without replacement from {v: 4, p: 2, i: 1}?
1/21
Three letters picked without replacement from {y: 3, b: 2, t: 1, z: 2, h: 4, e: 2}. What is prob of sequence bhe?
2/273
Three letters picked without replacement from fvvvfvlslsvsvvf. Give prob of sequence svl.
1/65
Two letters picked without replacement from johhoqohoo. Give prob of sequence qq.
0
Two letters picked without replacement from jeejlleppeejjlmjme. Give prob of sequence me.
2/51
Calculate prob of sequence rfpp when four letters picked without replacement from aqfppppaqryf.
1/495
Calculate prob of sequence nxbz when four letters picked without replacement from {h: 1, n: 3, x: 7, b: 4, z: 4}.
7/1938
Two letters picked without replacement from {l: 9, h: 3, i: 7}. What is prob of sequence hi?
7/114
Three letters picked without replacement from {i: 1, y: 2, z: 3, e: 6, c: 1}. What is prob of sequence zyy?
1/286
Calculate prob of sequence lllz when four letters picked without replacement from {z: 2, l: 4, o: 1}.
2/35
Two letters picked without replacement from vdqdqffddddp. Give prob of sequence fd.
1/11
Three letters picked without replacement from {k: 5, t: 1, u: 2, h: 1, j: 2, l: 2}. Give prob of sequence tlj.
1/429
Calculate prob of sequence lfn when three letters picked without replacement from lynsisf.
1/210
Three letters picked without replacement from kkgfukukhhuhufkhuh. Give prob of sequence fkh.
25/2448
Two letters picked without replacement from eeepeepp. What is prob of sequence pp?
3/28
Three letters picked without replacement from {f: 1, w: 3, n: 4, l: 2, x: 1}. Give prob of sequence lwx.
1/165
What is prob of sequence cjdj when four letters picked without replacement from jdjcdu?
1/90
Two letters picked | {
"pile_set_name": "DM Mathematics"
} |
*4 + 10*r**4 + 1 + 2*r + 1 + (r**3 + 2 - 2)*(-3 + 2*r + 3) + 3*r**3 - r**4 - 3*r**3.
2*r**4 + 2*r + 2
Expand (g**2 + 0*g**2 - 2*g**2)*(g + 0*g + g)*(-2*g + 3*g - 3*g).
4*g**4
Expand (-7*w + 10*w - 15*w)*(2*w**4 + w**4 - 4*w**4) + (3 - 3 - 2)*(w**5 - 2*w + 2*w).
10*w**5
Expand 22 + 26 - 50 + 7*z**2 + (z + z - 4*z)*(-1 + 1 + 2*z) + 2*z**2 - z**2 + 0*z**2 + (2*z**2 - 1 + 1)*(4 - 1 - 2).
6*z**2 - 2
Expand (-1 + 1 + 2*c)*(-2*c - 2*c + 3*c) + (3*c**2 - 3*c**2 + c**2)*(5 - 5 - 1).
-3*c**2
Expand (0*p + 2*p - 3*p)*(-1 + 0 + 0) + (-2 + 4 + 0)*(0*p + 2*p - 5*p).
-5*p
Expand -12*u**3 - 14*u**3 + 8*u**3 + (3*u**2 - 6*u**2 + 2*u**2)*(0 - u + 0) + 3*u**3 + 3*u**3 - 4*u**3.
-15*u**3
Expand (-w + 4 - 4)*(-w**3 + w**3 + 2*w**4) - 5*w**5 + 2*w**5 + 4*w**5.
-w**5
Expand (-2*v**3 + 2*v**3 - 3*v**3)*(0*v**2 + 4*v**2 - 3*v**2).
-3*v**5
Expand (-2*j**4 + 2*j**4 + j**5)*(-1 - 1 - 2) - 2*j + j**5 + 2*j.
-3*j**5
Expand (-2*t - 4 + 4*t + 0*t)*(4 + 1 - 3 + (1 - 3 + 1)*(-4 + 0 + 2) + 0 + 1 + 0 + 0 + 1 + 0 - 3 + 5 - 3).
10*t - 20
Expand (v**2 - v**2 - v**4)*(-v - 11*v - 4*v).
16*v**5
Expand (-4*z + 0*z + 6*z)*(3 - 4 - 1 + (-5 + 3 + 3)*(1 + 5 - 5) - 3 + 4 - 4).
-8*z
Expand -4*z**5 + 8*z**5 + 3*z**5 + (-2 + 2 - 1)*(-2*z**4 + 2*z**4 - z**5) - 4*z**2 - 3*z**5 + 4*z**2 - z**5 + 2*z**3 - 2*z**3.
4*z**5
Expand (-9 + 3 + 0)*(3*i + 6*i - 5*i) + (-2 - 1 + 4)*(0*i + 0*i - i).
-25*i
Expand -4*s**2 + s**2 + 0*s**2 - 1 + 4*s**2 + 1 + (-3*s - s + 5*s)*(-2*s - 3*s + 7*s).
3*s**2
Expand 1 - 9*y**4 + 2*y**3 + 3*y + 2256*y**2 - 2256*y**2 + (-2*y**2 + 2*y**3 + 2*y**2)*(y + 0*y + 0*y).
-7*y**4 + 2*y**3 + 3*y + 1
Expand (-1 + 2 + 0)*(17*r**3 + 27 - 27).
17*r**3
Expand (-3*l + 3*l + 2*l)*(l**2 + 2*l**2 - 2*l**2) + 88 - 88 - 3*l**3 + 3*l**3 + 2*l**3 - 3*l**3.
l**3
Expand (-1 + 1 + 2*o)*(2*o - 5*o + 2*o)*(-5 + 5 + 3*o) - 5*o**3 + 10*o**3 + 4*o**3.
3*o**3
Expand (-4 + 3 - 1)*(-3*m - m - m) - 3*m + 2*m - m + 1.
8*m + 1
Expand (-8*g**4 + 6*g**4 + 7*g**4)*(-2 - 1 - 1)*(3 - 3 - 2*g).
40*g**5
Expand (-o**2 - 4*o + 4*o)*(-2 + 10 - 1).
-7*o**2
Expand (-1 + 2 - 4)*(i**2 + 0*i - 2*i**2 + 2*i).
3*i**2 - 6*i
Expand j**3 + 2 + 9*j**2 + 24*j - 24*j + (-2*j**3 - 2*j**2 + 2*j**2)*(-1 + 4 - 1) - 4 + 4 + j**3 + 0*j**3 - 3*j**3 + 2*j**3 + 2*j**3 - 5*j**3 + 2*j**3.
-4*j**3 + 9*j**2 + 2
Expand (-2*a - 5*a + 5*a)*(2*a + 0*a - 3*a)*(11*a + 45 - 45).
22*a**3
Expand 0*x**2 + x**2 - 2*x**2 + (2 + 4 - 5)*(7*x**2 - 2*x**2 - 2*x**2) + x**2 - 1 + 1.
3*x**2
Expand (p**2 + 0*p**2 - 4*p**2)*(-2 - 2 + 1)*(2*p + 0*p - 4*p).
-18*p**3
Expand (3 + 3 - 5)*(-3*m**4 + m**4 - 2*m**4)*(3 + 5 - 6 - 4 + 2 + 1 + (-3 + 6 - 1)*(-1 + 2 - 3) + 3 - 2 - 3).
20*m**4
Expand (0*q - 2*q + 5*q)*(1 + 0 + 2)*(-1 + 0 + 2) - 3*q + 4*q - 2*q.
8*q
Expand (-c + 4*c - c)*((-c - 2*c + 4*c)*(2 - 1 - 3) - 6*c - c + 2 - c).
-20*c**2 + 4*c
Expand -i**4 + 2*i**5 + 0*i**5 - 3*i**4 + (0*i**3 - 6*i**3 + i**3)*(3*i - 3*i + 3*i**2).
-13*i**5 - 4*i**4
Expand -2*r**5 - r**4 + r**4 + (1 + 2*r - 1)*(-2*r**4 - r**4 + r**4) - 8*r**2 + 10*r**2 - 22*r**2 + r**5.
-5*r**5 - 20*r**2
Expand 2*t**2 - 2*t**2 + t**3 + (-3*t**3 + 2*t**3 + 4*t**3)*(-2 + 6 - 2).
7*t**3
Expand (17*a - 2*a - a)*(0 + 0 + 5*a**3).
70*a**4
Expand (-5 - 6*t**2 + 5)*(3*t - 6*t + 2*t) + 3*t - 3*t + 2*t**3 + (0*t**2 + 3*t**2 - 4*t**2)*(1 - 1 + t) - t - 2*t**3 + t + 5*t**3 - 4*t**3 - 2*t**3.
4*t**3
Expand -3*b**3 + 2*b**3 - b**3 + (0 + 6 - 1)*(b**3 - 3*b**3 + b**3).
-7*b**3
Expand 2*k**5 + k**5 - 6*k**5 + (4*k**2 + k**2 - 3*k**2)*(0*k**3 + 0*k**3 - k**3) + 0*k**2 + k**5 + 0*k**2 - k + k - 2*k**5.
-6*k**5
Expand -2*v + 2*v - 14*v**5 + (-1 - 1 + 5)*(-2*v**5 - 2*v**5 + 2*v**5).
-20*v**5
Expand (0*a - 5*a + 2*a)*(-a + 0*a + 4*a)*(4*a - a - a).
-18*a**3
Expand (1 - 1 + 2*v)*(0*v + 2*v - 4*v)*(5*v**2 - 5*v**2 + 5*v**3).
-20*v**5
Expand (2*t**2 - 4*t**2 + 0*t**2)*(-4*t**2 + 2*t**2 + 7*t**2)*(-4*t - 4*t + t).
70*t**5
Expand (3*t - 3*t - 2*t)*(2*t + 2*t + t)*(-3*t + 3*t + 7*t**3).
-70*t**5
Expand (-31*k - 22*k + 34*k)*(-1 - 2 + 6) + (-3*k - 3*k + 4*k)*(1 + 3 - 5).
-55*k
Expand (-2*f**2 + 2*f**2 - f**2)*(-41 + 934*f - 2*f**2 - 934*f).
2*f**4 + 41*f**2
Expand (1 + v - 3*v + 3*v)*(-2 + 0 + 5 + 2 - 2 + 1 + (-3 - 2 + 3)*(-2 + 2 - 2) - 3 + 1 + 1).
7*v + 7
Expand 5 + r - 5 + (r + 0*r + 0*r)*(-1 - 1 + 3) + 4*r - r - r - 3*r - 2*r + 4*r + (-2 + 2 - 1)*(-r - 4*r + 6*r).
2*r
Expand (m + 0*m - 2*m)*(0*m + 3*m + 2 - m).
-2*m**2 - 2*m
Expand (6*z**4 + z**4 + 0*z**4)*(-4*z + 5*z - 2*z) + z**5 + z**4 - z**4.
-6*z**5
Expand (-p - 4 + 4 + (-2 + 3 + 1)*(-2*p + 2*p + 2*p) + (2 - 2 - 1)*(3 - 4 + 0)*(0*p - p + 2*p))*(-6*p**2 - 2*p**2 - 4*p**2).
-48*p**3
Expand (1 - x - 1)*(10 - 4 - 25) + (-3 + 2 + 0)*(-x + 2 - 2) - 2 + 2 + 2*x + 3*x - x - x.
23*x
Expand (39 - 41 - t + 22)*(t**3 + 1 - 1) + 0*t**4 - 2*t**4 + 0*t**4 + (2 - 1 + 1)*(0*t**4 + 2*t**4 - 3*t**4) + t - t**4 - t.
-6*t**4 + 20*t**3
Expand (-1 + 1 - 2)*(c**2 + 3*c**2 - 5*c**2) - 10*c**2 + 39*c**2 - 77*c**2.
-46*c**2
Expand -q**3 + q**3 - 2*q**3 + 3*q + 2*q**3 - 3*q + (-5*q + 3*q + q)*(2*q**2 - 3*q**2 + 0*q**2) + 2*q**3 + 2*q**3 - 2*q**3.
3*q**3
Expand (f + 2*f - f)*(0*f + 2*f + 2*f).
8*f**2
Expand (-2*c + c + 0*c)*((-5*c - 2*c + 6*c)*(-c - 2 + 2) + c - c + c**2 - 2*c**2 + 0*c**2 + 7*c**2).
-7*c**3
Expand (-6*c**3 + 11*c**3 + 6*c**3 + 1 + 2*c**3 - 1 + (2*c**2 - 2*c**2 - c**2)*(2 - 2*c - 2))*(3 + 2 - 3).
30*c**3
Expand (0*w + 0*w + 4*w)*(0*w + w**2 + 0*w) - 2 + 2 + 3*w**3.
7*w**3
Expand (-9*i**4 - 6*i**4 - 13*i**4)*(-2 + 1 + 0 + (-1 + 1 + 1)*(-6 + 2 + 2)).
84*i**4
Expand (-4*n - 63*n + 124*n)*(2*n - n - 3*n).
-114*n**2
Expand (-4*k - 6 + 6)*(2 + 2*k - 2 + 4*k - 4*k - k + k + 0 + 0 + (2 - 3 - 1)*(3*k - 5*k + 0*k)).
-24*k**2
Expand -4*s**4 + s**4 + 2*s**4 + (3*s - 3 + 3)*(-s**3 - 5 + 5) + 2*s**4 - s**4 + 0*s**4 - s**4 - 3*s**4 + 3*s**4 + 2*s**4 - s**2 + s**2.
-2*s**4
Expand (3 - 1 - 1)*(2 - 2 - w + (3*w - 2*w + w)*(0 + 3 - 1)).
3*w
Expand (3 + 1 - 3)*(5 + 1 - 5)*(-3*i + 3*i + 2*i).
2*i
Expand (h**2 + 2*h**2 - h**2)*(-3 + 2*h**2 + 3) + 0*h**4 + 2*h**4 + 0*h**4 + h - h + h**4.
7*h**4
Expand (1 - 2 + 0)*(-3*y**4 - y**4 + 3*y**4) - 2 + 2 + 2*y**4 + 2 + 1 - 1 + 2*y**2 - 2*y**4.
y**4 + 2*y**2 + 2
Expand (3*i**3 - 3*i + 3*i + (3*i**2 + 2*i**3 - 3*i**2)*(-1 - 2 + 1) - i**3 - 2*i + 2*i)*(8 - 4 + 0)*(-1 + 2 + 1).
-16*i**3
Expand (27 - 8 + 3)*(-h**2 + 4 - 4)*(2*h - 4*h + 0*h).
44*h**3
Expand (306*a**2 - 306*a**2 - 43*a**4)*(a - 2 + 2).
-43*a**5
Expand (-5*f + 2*f + 4*f)*(-3*f + 0*f + f) + f**2 - 2*f**2 - f**2 - 3*f**2 + 3*f**2 + f**2 + (4*f - 8*f + 5*f)*(0 + 0 - 3*f).
-6*f**2
Expand -23*n**3 - 18*n**3 - 3*n**3 - 5*n**3 + n**3 + 5*n**3 + (4*n**3 - 2*n**3 - 4*n**3)*(1 + 2 - 5) + 1 - 1 - 2*n**3 + 3*n**3 - 6*n**3 + 4*n**3.
-40*n**3
Expand (0 + 7 - 2)*(1 + 3*q**3 - 1) + (1 - 1 - 3*q)*(3*q**2 - q**2 - 3*q**2).
18*q**3
Expand ((0 - 3 + 4)*(6 - 2 - 2) - 5 + 1 + 3)*(2*p**3 + 0 + 0).
2*p**3
Expand (0*g + 5*g + 4*g)*(g**2 - g**2 + 2*g**2).
18*g**3
Expand 3*s**2 + 0*s**2 - s**2 + 4*s**2 + 2*s**2 - 3*s**2 + (-s**2 + 0*s**2 + 3*s**2)*(-1 - 4 + 6).
7*s**2
Expand (2*b + 2*b + 2*b)*(0 + 3 - 5) - 1 - 3*b + 1.
-15*b
Expand (-2 - 1 + j + 5)*(j**3 + 4*j**3 - 4*j**3)*(-4*j - 3 + 3).
-4*j**5 - 8*j**4
Expand (-d**4 + 6*d**4 - 3*d**4)*(-d + 0*d - d)*(-6 + 5 - 2).
12*d**5
Expand (-45*t + 39*t + 21*t)*(-2*t - 3*t + 3*t).
-30*t**2
Expand (x**4 - 5*x**4 + x**4)*(-3 + 1 - 2).
12*x**4
Expand 4*v**3 - 3*v**5 - 4*v**3 + (-4*v - 2*v**4 + 4*v)*(5*v - v - 3*v).
-5*v**5
Expand (2*f - 2*f - f**2)*(2*f**3 + 2*f**3 - 5*f**3) + 0 + f**5 + 0 + (-2*f**2 + 1 - 1)*(-3*f**3 - 2*f**3 + 4*f**3).
4*f**5
Expand -z - z**2 + z + (4 - 2 + 0)*(0*z**2 + 5*z**2 - 3*z**2) - 1 + 2*z**2 + 1 + z**2 - 2 + 2 + 0*z**2 + 0*z**2 - z**2 + (0*z - z + 3*z)*(-5*z + 2*z + z).
z**2
Expand (3 - 3 - 5*g)*(3 - 1 + 0) - g + 2*g + 3*g.
-6*g
Expand (-7*m**2 + m**2 - m**2)*(-9 + 9 + 7*m)*(-2*m**2 - 3*m**2 + 3*m**2).
98*m**5
Expand 4*m + 8*m + 0*m - 2*m + 2 - 2 + 0*m + m + m + 3*m - 2*m - 2*m + (3 + 1 - 2)*(m + m - 3*m) + 2*m - 4*m + 0*m - 4 + 4 + 2*m + 5*m - m - 2*m.
11*m
Expand (b - 2*b + 3*b)*(3 + 2*b - 3) + 3*b**2 - 2*b**2 - 2*b**2 + 5*b**2 - 4*b**2 - 3*b**2 + (1 - 1 - 1)*(-3*b**2 + b**2 + b**2).
2*b**2
Expand (-d**2 - 2*d**2 + 0*d**2)*(10 - 10 - 15*d).
45*d**3
Expand 2 - 3 + 3 - 2*k + (3*k - k - 4*k)*(3 - 4 + 3) - 2*k - 2 + 2 - 4*k - k + 4*k.
-9*k + 2
Expand -4*f + f + 10*f | {
"pile_set_name": "DM Mathematics"
} |
third derivative of f(y). Factor v(p).
-3*p**2*(p - 2)*(p - 1)/7
Let -92/5*y - 217/5*y**2 - 29*y**3 + 21/5*y**5 - 12/5 + 13/5*y**4 = 0. Calculate y.
-2, -1, -1/3, -2/7, 3
Let m(y) = -155*y**3 - 3*y**2 - 5*y - 2. Let x be m(-1). Let g = -152 + x. Let 0 - 9/4*o**4 + 3/2*o - 3/4*o**g - 3/4*o**5 + 9/4*o**2 = 0. Calculate o.
-2, -1, 0, 1
Let j(h) = -10*h**2 + 4*h - 4*h**2 + 8 + 13*h**2 - 3. Let v(t) = 4*t**2 - 12*t - 16. Let k be (1*16)/(1/1). Let d(f) = k*j(f) + 5*v(f). Factor d(y).
4*y*(y + 1)
Let j(d) be the third derivative of 1/15*d**5 + 1/30*d**6 + 0*d - 1/84*d**8 + 0*d**4 + 14*d**2 + 0 + 0*d**3 - 2/105*d**7. Factor j(x).
-4*x**2*(x - 1)*(x + 1)**2
Let d(a) be the first derivative of a**4/4 - 20*a**3/3 - a**2/2 + 20*a - 530. Determine w, given that d(w) = 0.
-1, 1, 20
Let l(i) be the second derivative of -i**4/4 + 107*i**3/2 + 162*i**2 - 219*i - 1. Factor l(z).
-3*(z - 108)*(z + 1)
Let t(p) be the first derivative of -3*p**5/20 + 3*p**4/4 + 9*p**3/2 + 15*p**2/2 + 21*p/4 + 203. Factor t(j).
-3*(j - 7)*(j + 1)**3/4
Let y(o) be the second derivative of -o**4/30 - 2*o**3/5 - 8*o**2/5 + 111*o - 2. Suppose y(v) = 0. Calculate v.
-4, -2
What is a in -92/19*a + 0 + 2/19*a**2 = 0?
0, 46
Let x(a) be the third derivative of -a**6/60 + 3*a**5/10 - 3*a**4/2 + 206*a**2. Find l such that x(l) = 0.
0, 3, 6
Let j(k) = 11*k**4 + 62*k**3 + 29*k**2 - 138*k - 9. Let i(o) = 3*o**4 + 16*o**3 + 7*o**2 - 34*o - 2. Let x(b) = 9*i(b) - 2*j(b). Factor x(s).
5*s*(s - 1)*(s + 2)*(s + 3)
Factor 0 + 2048/3*k + 2/3*k**3 - 128/3*k**2.
2*k*(k - 32)**2/3
Factor -3*y**3 - 6*y**2 - 5*y - 1/2*y**4 - 3/2.
-(y + 1)**3*(y + 3)/2
Let i(f) be the third derivative of -1/1848*f**8 + 1/660*f**6 + 0 + 20*f**2 + 0*f + 0*f**3 + 1/1155*f**7 + 0*f**4 - 1/330*f**5. Factor i(p).
-2*p**2*(p - 1)**2*(p + 1)/11
Let q(o) be the third derivative of -3*o**8/224 - 11*o**7/560 + 13*o**6/320 + 11*o**5/160 - o**4/64 - 73*o**2. Determine a, given that q(a) = 0.
-1, 0, 1/12, 1
Let t(a) be the second derivative of -14*a - 24/5*a**6 - 42/5*a**5 - 8/7*a**7 - 9/2*a**3 - 3/2*a**2 + 0 - 8*a**4. Factor t(m).
-3*(m + 1)*(2*m + 1)**4
Let q(p) be the third derivative of p**9/12096 - p**8/2016 - p**7/144 - p**6/36 - 13*p**5/60 - 20*p**2. Let a(j) be the third derivative of q(j). Factor a(l).
5*(l - 4)*(l + 1)**2
Let g(z) = -7*z**4 + 5*z**3 + 2*z**2 - 6*z + 18. Let d(a) = 15*a**4 - 11*a**3 - 3*a**2 + 15*a - 39. Let u(m) = 6*d(m) + 13*g(m). Factor u(k).
-k*(k - 3)*(k + 2)**2
Let x = -110 + 128. Let f be (-28)/x*168/(-196). Let -16/3 - 4*k + f*k**2 = 0. What is k?
-1, 4
Let s(a) be the third derivative of 5*a**5/72 - 5*a**4/24 + 5*a**3/36 - a**2 + 1. Factor s(p).
5*(p - 1)*(5*p - 1)/6
Suppose -44*x + 283*x = 0. Find d, given that -3/2*d**2 + 3/2*d + x = 0.
0, 1
Let u(v) = 8*v**2 - 208*v + 2692. Let y(c) = -17*c**2 + 416*c - 5381. Let f(o) = 9*u(o) + 4*y(o). Factor f(t).
4*(t - 26)**2
Suppose 110 = -t - 3*d + 95, 12*d + 87 = 5*t. Factor 2/7*m - 2/7*m**t + 0*m**2 + 0.
-2*m*(m - 1)*(m + 1)/7
Let d be 1318/(-6) - ((-10)/(-3) - 3). Let q be 40/d - (-35)/11. Let 6/5*x**2 + 2/5*x**q - 2/5*x - 6/5 = 0. What is x?
-3, -1, 1
Factor 21632/17 + 2/17*x**2 + 416/17*x.
2*(x + 104)**2/17
Suppose -51*r = -10*r - 6*r - 70. Factor -2 + 20/3*p + 5/6*p**3 - 9/2*p**r.
(p - 3)*(p - 2)*(5*p - 2)/6
Determine m so that -34/3 - 1/3*m**2 - 19/3*m = 0.
-17, -2
Let a(l) = -2*l**2 - 6*l - 2. Let s be a(-1). Let j(t) be the first derivative of 1/8*t**4 - t + 3 + 1/3*t**3 - 1/4*t**s. Find y such that j(y) = 0.
-2, -1, 1
Suppose -21/4*v**3 + 51/2 - 171/2*v**2 + 261/4*v = 0. Calculate v.
-17, -2/7, 1
Suppose 45 = 5*x, 1013 - 959 = -t + 6*x. Find d, given that -2/9 + 2/9*d**2 + t*d = 0.
-1, 1
Let h(y) = -y**2 - 19*y - 35. Let k be h(-17). Let x be (-2 - k)/(-1)*0/(-19). Suppose 2/3*d**3 - 4/3*d**2 + x + 0*d = 0. Calculate d.
0, 2
Let y be (-60)/(-5)*(-6)/8 - -9. Suppose f**2 - 1/4*f + f**4 - 1/4*f**5 - 3/2*f**3 + y = 0. Calculate f.
0, 1
Suppose -12/5*n**4 + 12/5 + 0*n**2 - 4*n**3 + 22/5*n - 2/5*n**5 = 0. Calculate n.
-3, -2, -1, 1
Let a(u) = 6*u**4 - 34*u**3 - 105*u**2 - 99*u - 25. Let i(p) = -p**4 + p - 1. Let n(s) = a(s) + 3*i(s). Factor n(m).
(m - 14)*(m + 1)**2*(3*m + 2)
Let i(u) be the third derivative of -u**7/630 + u**6/180 + 9*u**2 - 6*u. Determine z so that i(z) = 0.
0, 2
Find j, given that -68/5*j - 2/5*j**2 - 578/5 = 0.
-17
Let j(h) be the third derivative of -h**7/210 + h**6/30 - h**5/30 - h**4/6 + h**3/2 + 2*h**2 - 60*h. Factor j(a).
-(a - 3)*(a - 1)**2*(a + 1)
Suppose -46 = -11*c - 2. Let h(o) be the second derivative of 0 + 1/42*o**7 + 0*o**3 + 0*o**2 + 1/20*o**6 - 1/20*o**5 - 9*o + 0*o**c. Factor h(k).
k**3*(k + 2)*(2*k - 1)/2
Let p(f) = f**2 + 56*f + 761. Let l be p(-23). Suppose -15/2*q**l + 25*q + 20 = 0. What is q?
-2/3, 4
Factor 6*a**2 + 0 - 4/3*a - 8*a**3 + 10/3*a**4.
2*a*(a - 1)**2*(5*a - 2)/3
Let t(n) = 14*n**3 + 9*n**2 - 5*n - 103. Let p(x) = 11*x**3 + 9*x**2 - 4*x - 104. Let w(f) = -5*p(f) + 4*t(f). Factor w(q).
(q - 6)**2*(q + 3)
Let z(b) be the third derivative of -b**5/60 + b**4/12 - 3*b**2 - 19. Let n(o) = -o**2 - 5*o - 4. Let s(k) = n(k) - 5*z(k). Solve s(u) = 0.
-1/4, 4
Find y such that 88*y + 0*y**2 - 57 + 26 + 31 - 4*y**2 = 0.
0, 22
Suppose 98*s = 99*s - 2. Let v(x) be the third derivative of 0*x - s*x**2 + 1/30*x**5 + 0 + 0*x**3 + 0*x**4. What is u in v(u) = 0?
0
Determine d so that 6 + 1140*d**2 - 383*d**2 - 27*d - 387*d**2 - 385*d**2 = 0.
-2, 1/5
Let h = 2191/2 - 4239/4. Factor 23/4*a**2 + 121/4 - 1/4*a**3 - h*a.
-(a - 11)**2*(a - 1)/4
Let b(g) = 7*g**2 - 16*g + 9. Let h(r) be the first derivative of 2*r**3 - 8*r**2 + 10*r - 19. Let y(j) = 4*b(j) - 5*h(j). Factor y(a).
-2*(a - 7)*(a - 1)
Let h(o) be the second derivative of -1/2*o**3 - 1/24*o**4 + 0 - 9/4*o**2 - 17*o. Find d, given that h(d) = 0.
-3
Let r(i) be the first derivative of 46 - 22/35*i**5 - 4/21*i**6 + 1/7*i**2 + 0*i - 9/14*i**4 - 2/21*i**3. Determine t so that r(t) = 0.
-1, 0, 1/4
Let t(q) be the third derivative of 1/24*q**4 + 0 - 1/120*q**6 + 0*q**3 + 1/210*q**7 - 3*q**2 - 1/60*q**5 + 0*q. Factor t(i).
i*(i - 1)**2*(i + 1)
Let v = -1596 - -8033/5. Let n = 61/5 - v. Let -6/5*h**2 + 0*h + 2/5*h**3 + n = 0. What is h?
-1, 2
Let u be 7/(-14)*(1 + -8 + 3). Let w be 8/(-6)*(-9)/6. What is g in 3*g**2 + g - u*g**2 + 0*g**w = 0?
-1, 0
Factor 498 + 24*k**3 - 45*k**2 + 15*k**4 - 90*k**3 - 498.
3*k**2*(k - 5)*(5*k + 3)
Solve -14/9*v**2 + 2/9*v**4 - 2/9*v + 4/9 - 4/9*v**5 + 14/9*v**3 = 0.
-2, -1/2, 1
Let m(i) be the first derivative of 17/3*i**2 - 1/9*i**3 + 51 - 289/3*i. Solve m(o) = 0.
17
Let a(s) be the third derivative of -s**6/60 - s**5/30 + 5*s**4/2 + 159*s**2 - 2. Factor a(j).
-2*j*(j - 5)*(j + 6)
Determine l, given that 11/8*l**4 + 97/8*l**2 - 1/8*l**5 + 9/2 - 47/8*l**3 - 12*l = 0.
1, 2, 3
Let u(a) = -9*a**2 - a + 1. Let r(m) = -4*m**2 - m. Suppose 6 = -7*x + 8*x. Suppose v = -9 - 5. Let c(p) = v*r(p) + x*u(p). Suppose c(b) = 0. Calculate b.
-3, -1
Let r be ((-270)/33 - -8) + 41/165. Let k(h) be the second derivative of -3*h - 2/3*h**3 + 0 + 0*h**4 + h**2 - r*h**6 + 1/5*h**5. Let k(c) = 0. What is c?
-1, 1
Let o(h) = -7*h - 8. Let v be o(-4). Suppose 6*b - 10 = v. Let -17*s**2 - 6 + 15 + b*s**2 - 8*s**3 - 5 = 0. Calculate s.
-1, 1/2
Let a(y) be the third derivative of 0*y + 0*y**3 + y**2 + 0*y**4 - 1/210*y**6 + 0 - 1/105*y**5. Suppose a(i) = 0. Calculate i.
-1, 0
Let b(d) be the first derivative of -3*d**5/5 - 3*d**4/2 + d**3 + 3*d**2 - 155. Factor b(k).
-3*k*(k - 1)*(k + 1)*(k + 2)
Let i(m) = -4*m - 13. Let f be i(-4). Determine u, given that 2 - 14*u - 13*u**2 - 50*u**f + 51*u**2 - 6*u**5 + 32*u**4 - 2*u**5 = 0.
1/2, 1
Let c(x) be the first derivative of 5*x**4/4 + 15*x**3 + 135*x**2/2 + 135*x - 81. Let c(s) = 0. What is s?
-3
Let v be 4 - ((-1)/(-2) - (-75)/24). Let z(b) be the first derivative of v*b**2 - 1/4*b - 3 - 3/16*b**4 + 1/12*b**3. Determine p so that z(p) = 0.
-1, 1/3, 1
Let j(f) be the second derivative of 0 + 0*f**5 + 0*f**2 + 0*f**3 + 2/21*f**7 - 17*f + 0*f**4 - 4/15*f**6. Solve j(t) = 0.
0, 2
Let p(n) = -152*n**3 + 522*n**2 - 105*n + 11. Let b(s) = 2*s**3 + s + 1. Let g(f) = -5*b(f) + p(f). Find c, given that g(c) = 0.
1/9, 3
Suppose 0*h - 4 = 4*h. Let u be 21 + (-4)/h + -2. Find y such that 16*y**4 - 10*y**5 - 5*y - 5*y**3 + u*y**3 - 1 | {
"pile_set_name": "DM Mathematics"
} |
+ 1.039. Let m = -838.016 + o. Is m smaller than -5/2?
False
Let f(a) = -a**3 - 31*a**2 + 67*a + 30. Let u be f(-33). Let c be (u*(-273)/(-7))/1. Is -116 greater than c?
True
Suppose -3*m + 0*m + 260352 = -99*m. Which is smaller: m or -2710?
m
Suppose w + 5 = 0, -i - 2*w - 2 = 2. Suppose i*a - 5 = -y + 7*a, -21 = -4*y + 3*a. Suppose -4*t - y = -l + t, t = -2*l + 1. Is l greater than -1/43?
True
Let r(q) = -22*q - 998. Let g be r(52). Is g <= -2141?
True
Let f = 65 - -43. Let q = f + -1081/10. Suppose -4*a + 5 = -8*a + z, -5*a - 8 = -3*z. Is q <= a?
False
Let p be -328 - 16*(-2 - 30/(-12)). Which is smaller: -1 or p?
p
Let g(b) = b**3 - 3*b**2 + 2*b - 6. Let l be g(3). Suppose l = 12*i - 8*i - 28. Let w(x) = -x**3 + 6*x**2 + 8*x + 4. Let u be w(i). Does u = 10?
False
Let h = -2176 - -2175. Is h < 5/496?
True
Let l(v) = v**3 - 12*v**2 - 11*v - 18. Let x be l(13). Let g = 6 - 0. Let k be (-15*x/12)/g. Does k = -0.2?
False
Let i(j) = 105*j - 2463. Let n be i(26). Is n >= -6/7?
True
Let j = 7.51 - 6.36. Let u = j + -1.59. Is u bigger than 0?
False
Let m(t) = -5*t + 5. Let c be m(0). Suppose -a = 2*k - c*a + 56, 3*a = k + 29. Let f = -57 + 32. Do k and f have different values?
True
Let f be -1 + 1475/(-100) - -16. Which is greater: 83/6 or f?
83/6
Let f be -2*(-2)/16*24/6. Let z be f*-4*(-3)/60*-34. Let c = z + 3152/465. Is 1 > c?
True
Let n = 430 + -390. Suppose 0*r - 4*w + 25 = r, 0 = -2*r + 5*w + 89. Suppose 6 = r*o - n*o. Is 0 at least o?
True
Suppose -4*b - 5*u = 26, -2*b - 4*u - 2 = 14. Let p be (-11)/(-33) + (480/9)/b. Is p smaller than 1/9?
True
Suppose -3*r = 15, -5*r + r - 125 = 3*w. Let j = -106/3 - w. Is 7 greater than j?
True
Let t = -0.757 - -0.557. Is 190/9 >= t?
True
Let b be 28/6*(-495)/20*-2. Suppose -4*j + b = 247. Are j and -4 equal?
True
Let d = -81 + 74. Do 399 and d have the same value?
False
Let g = -3 + 2. Let c = 0.4299 - -1051.3701. Let a = -1051 + c. Are g and a unequal?
True
Let w = 150 - 150.148. Let n = -0.053 - w. Is n less than or equal to 0.1?
True
Let x be 2*(3 - 28/(-8)). Suppose 0 = 18*j - 5*j - x. Let t be 3/(252/345) - 4. Which is smaller: j or t?
t
Let i = -56146024/2425 - -23153. Let b = -4531/773575 - i. Is b smaller than 1?
True
Suppose 12 = -4*b, 0 = 4*v - 2*b - 0 - 14. Let l be (-8)/3*v/24. Suppose -6*i + 23*i = 17. Is i at least l?
True
Suppose -f + 46 = -3*r, 54 = 3*f - 2*r - 98. Let d(y) = y**3 + 2*y**2 + y. Let i be d(3). Suppose c = f - i. Is 4 at most as big as c?
True
Let h = 202 - 157. Let k = -50 + h. Which is smaller: -0.17 or k?
k
Let a = 2397 - 3259. Which is bigger: -864 or a?
a
Let n = 44.3 + -40. Let x = 363785/627 - -237/209. Let b = x - 581. Which is bigger: n or b?
n
Let r be 54/(-5832)*(-1 - (-7)/3). Suppose 3*y = 5 - 8. Which is smaller: y or r?
y
Let v = 6749 + -6750. Is v greater than -5/1567?
False
Let f be 609/(18/(5 - 131)). Which is smaller: f or -4265?
-4265
Let b = -10553/16800 + -1/2400. Suppose 15 = -5*t - 5*s, t - 2*s - 8 = -5. Do b and t have the same value?
False
Suppose 0 = 3*u + 4*r - 350 - 81, 5*r = 2*u - 318. Is u smaller than 31?
False
Let y = 0.15 + -0.09. Let o = -2.06 + y. Let n = 651 - 613. Which is greater: o or n?
n
Let s = -31659.48 + 31659. Which is smaller: s or -0.12?
s
Let c(d) = 2*d**2 + 73*d + 122. Let g be c(-35). Suppose g*q = 26 + 59. Is 9 at least as big as q?
True
Let s be ((-10)/1)/((-20)/2). Which is greater: s or -29/74?
s
Let o be (3/(-5) - -1)/(13/(-390)). Suppose 8*t - 2*m = 9*t + 11, 4*t - 4*m + 20 = 0. Is t equal to o?
False
Let z = -61 - 71. Let y = -131 - z. Which is smaller: y or 11?
y
Let b be (18/(-55))/(621/135 - 33). Which is smaller: -1 or b?
-1
Let k be (24/(-14))/(-6) + 1674/21. Let i = k + -80. Which is smaller: 30/23 or i?
i
Suppose -2*a = -4*t + 210, -12*a + 15*a - 49 = -t. Are 100 and t unequal?
True
Let y be (-2)/((-86)/30 + 3). Suppose -83 = 5*j - 3*q, 3*j - 89*q + 84*q + 53 = 0. Does y = j?
False
Suppose 4*w - 48 = 5*i, 4*i + 58 = 3*w + 23. Let y(n) = n**3 - 14*n**2 - n + 30. Suppose 14*f = 6*f + 112. Let l be y(f). Is w greater than l?
True
Let j = 39 - 39.23. Let m = -0.0297 + 21.1297. Let w = m + -21. Which is bigger: j or w?
w
Let v be ((-22)/8 - 47/94)*-4. Let u be (-115)/(-4) - (v + -7 + -7). Is u less than 31?
True
Let d(x) = -x**2 - 24*x - 50. Let j be d(-20). Let r be 10*((-837)/36)/(j/(-16)). Let q be (((-16)/20)/(-4))/(r/(-5)). Which is smaller: 0 or q?
q
Let t = -254 - -418. Let l = 163.71 - t. Which is smaller: l or 0.1?
l
Let p = -14 - -24. Suppose p = 6*q - 14. Let h be (q/(-10))/((4 - 3)/(-1)). Which is greater: h or 2/3?
2/3
Suppose -21*r - 108 = -25*r. Let v be 2*(-4 + r/6). Which is smaller: -2/85 or v?
-2/85
Let x = 12589 - 138530/11. Is x smaller than 0?
True
Suppose -2*h + 280 = -3*w, -30 = -5*h - 5. Let t(m) = m**3 - 2*m**2 - 2*m. Let f be t(3). Let i be (27/w)/(f/4). Is i at least 1?
False
Let m = -266.175 - -266. Let i = m - 80.825. Which is smaller: i or 1?
i
Let z(r) = 55*r + 176. Let p be z(3). Is 341 bigger than p?
False
Let f be (-3)/4*(-2)/87. Let o(r) = -29*r**3 - 2*r**2 + 6*r + 1. Let m(u) = -5*u**3 + 1. Let v(n) = -6*m(n) + o(n). Let w be v(1). Which is bigger: w or f?
f
Let x = 541 - 4337/8. Let v = -203 + 203.04. Which is greater: v or x?
v
Let c(i) = -i**3 + 15*i**2 - 16*i + 20. Let r be 18 + (-8)/(4/2). Let l be c(r). Let z be ((-74)/4)/(2 + 12/l). Which is smaller: -35 or z?
z
Let r = -637 - -639. Suppose -161 + 5 = r*t. Is t <= -77?
True
Suppose -3*f + 472 - 178 = 18*f. Suppose -5*v - 3 = 2. Let m = v - -15. Is f at most m?
True
Suppose 72 = -13*j + j. Let f be (102/15 + j)/((-41)/5). Which is smaller: 0 or f?
f
Let y be 39/(-162) - (1 - (-8)/(-12)). Let n = 13/27 + y. Do -1 and n have different values?
True
Suppose 3*u - 10 = -2*u - 3*i, -5*i + 25 = 0. Which is smaller: 1/202 or u?
u
Let o(d) = 151*d**2 - 19*d - 289. Let g be o(-11). Let p = -673027/37 + g. Are p and 0 equal?
False
Suppose -7*x - 14*x + 63 = 0. Suppose x*d = 4*t - 18 + 12, -2*t + 2*d = -4. Which is smaller: 12/77 or t?
t
Let g = 9 - 57. Let y = -86 - g. Let a = y + 38.6. Which is smaller: a or -0.1?
-0.1
Let y be 64 + -67 + -1 + (0 - -1). Let o be -1*y/(-21)*(-1364)/11. Which is greater: o or 17?
o
Let y(w) = 2*w**3 - 18*w**2 + 23*w - 14. Let d be y(8). Let a = -0.13 + -2.87. Which is smaller: a or d?
a
Let p = 3 - -7. Let w = 0.1008 + 29.8992. Let d = p - w. Which is greater: 0 or d?
0
Let r(p) = -p**2 - p + 7. Let f be r(3). Let i be f/(45/12)*(-2)/192. Let m = i - 11/216. Which is smaller: m or 1?
m
Let a = -1190 - -1198. Which is greater: -587 or a?
a
Let i = -1463 + 1461. Do i and 313 have different values?
True
Let o = 57 - 56. Let r be 2 - o - -2 - 57/27. Let b = 0 - -2. Are r and b nonequal?
True
Suppose -177*v - 5*m + 380 = -172*v, -5*v + 5*m + 360 = 0. Which is smaller: 5 or v?
5
Suppose 10*k - 2*k + 464 = 0. Let n = -98 - k. Let o = 55 + n. Which is greater: o or 16?
16
Suppose 0 = 9*g - 5*g - 8. Let y be -2 + 4 + 1 + -1 + g. Suppose 2*s = -2*q, 14 = -y*q - 0*q + 3*s. Which is smaller: -14/11 or q?
q
Let u = -3345 + 3345.37. Is u <= -0.5?
False
Let a = 0.0463 + 19.1537. Let g = -25.2 + a. Is -0.06 > g?
True
Let b = 20 + 6. Let d = b + -25. Let j be (d - (44/12 + -2))*-1. Are j and -1/3 nonequal?
True
Let k = -2.07 + 2.66. Let f = -2.41 - k. Which is bigger: 53 or f?
53
Let d be 5/((-340)/76) - (-1)/1. Let h = d + -9/68. Let x = 47.15 - 47. Is x equal to h?
False
Let n = 13094 + -13093. Which is bigger: 45/808 or n?
n
Let x = -1.27 + 0.05. Let a = x + -1. Let v = -0.22 - a. Which is smaller: v or -1?
-1
Suppose 0 - 8 = -4*f. Suppose -f*v = 2*v - o + 5, -15 = -v - 3*o. Let c be 3/(1 - (-6 + 6)). Which is greater: c or v?
c
Let c be (6/8)/(366/488). Let p = -11 - -8. Let f be 16/p*84/(-16). Which is smaller: f or c?
c
Suppose 42*t = 4*y + 41*t, 0 = y - 5*t. Let a be (y - (-30)/11) + -4. Is a at most -1?
True
Let s be (-1 - -22)/7*(-1 - 0). Let o be s + 30/(-20)*1*-2. Which is smaller: -2/153 or o?
-2/153
Let z be 864*(14 + (-58)/4). Is -435 less than or equal to z?
True
Let f = 1.484 + 4.486. Let i = f - 6. Suppose 3*n = 12, g = -21*n + 26*n - 22. Is i bigger than g?
True
Let o(d) = -3*d**2 + 3*d - 3. Let j(m) = -m**2 + m + 7. Let t be j(3). Let c be o(t). Let s be c*9/(-6)*2 + -2. Is s less than or equal | {
"pile_set_name": "DM Mathematics"
} |
*r = -5*r. Solve 0 = -r*i - i - 3 for i.
-3
Suppose 3*m - 2 = -2*t, -3*m = -4*t + 3*t - 17. Let l = m - 4. Suppose f + 3*k + 2 = 0, -f - k + 4 = 4*f. Solve l*q = q + f for q.
-1
Let g(x) = x**3 + 10*x**2 + 13*x + 13. Let u be g(-9). Let f = u - -23. Solve f*r = -2*r + 6 for r.
3
Let b = 34 - 56. Let u = b - -31. Solve 0 = w + 2*w + u for w.
-3
Suppose -8 = -4*b + 8, -2*b = -2*m - 4. Solve m = l - 0 for l.
2
Suppose -3*t + 20 = 4*q, -2*q + 20 = 3*t - 4*t. Solve 13*w - q = 9*w for w.
2
Let j(x) = -x**3 - 4*x**2 + 4*x - 1. Let q be j(-5). Let u be (-3)/2 + 14/q. Solve -2 + 10 = u*t for t.
4
Let j(n) = 4*n**2 + 15*n - 9. Let z(t) = -5*t**2 - 16*t + 10. Let b(c) = -6*j(c) - 5*z(c). Let h be b(10). Solve -h*l - l - 15 = 0 for l.
-3
Let q = -14 + 20. Let i = -4 + q. Solve 0 = 5*u - i - 13 for u.
3
Let t(f) = 2*f - 4. Let b be t(7). Solve 0 = m - 3*m + b for m.
5
Let c(k) = -k + 14. Let w be c(5). Solve -x + w = 4 for x.
5
Suppose -9*t + 5 = -4*t. Let m = t + -1. Solve 2*j = -m*j + 8 for j.
4
Let j(c) = -c - 3. Suppose 0 = z + 5*a - 17, -6*a + 5*a = -4*z - 16. Let g be j(z). Solve g*p = -4*p for p.
0
Suppose -9 = 3*n - 3*o, 2 = -o + 7. Suppose -4*u - 2 = -3*r - 28, 0 = -n*u - 5*r. Solve 5*a = -0*a + u for a.
1
Suppose h + 4 = 3*h. Suppose -3*w - 53 = -h*k - 2*k, 27 = 2*k - w. Solve 11 + k = 5*v for v.
5
Suppose -5*p + 28 = 3. Suppose 9 = p*n - 16. Solve 5*c + n = -0 for c.
-1
Suppose -1 = -2*u + 7. Let l = u - 2. Suppose -l*r = r. Solve r = -0*g - g - 1 for g.
-1
Let r = 49 - 45. Solve 9 = -r*g - 3 for g.
-3
Suppose 0 = -5*g - 9 + 9. Solve 0 = 3*o - g*o + 3 for o.
-1
Let k be ((-2)/(-8))/((-3)/(-24)). Solve 2*s - k = -6 for s.
-2
Let k = 15 + -10. Let f = -1 + 3. Solve 6*r - f = k*r for r.
2
Suppose 3*v - 24 + 0 = 0. Solve 5*b = v*b - 6 for b.
2
Let j(f) be the third derivative of -f**4/12 - 2*f**3/3 + f**2. Let q(z) = -4*z + 4. Let c be q(2). Let u be j(c). Solve -2 = -u*h + 6 for h.
2
Let c(b) = b + 14. Let x be c(-9). Solve 4*o + 1 - x = 0 for o.
1
Let m = 10 + -10. Let p = 0 + m. Let t = p + 3. Solve -t*g + 6 = -5*g for g.
-3
Suppose -3*v + 5 = -10. Suppose d + d = 4*g, v*d - 4*g = 0. Suppose d = -0*m + 5*m - 10. Solve 2*o - 4*o = -m for o.
1
Let n(f) = 2*f - 15. Let g(o) = -o + 7. Let s(p) = 5*g(p) + 2*n(p). Let i be s(3). Let u be 9 - ((-8)/4 - -5). Solve u*j = i*j + 16 for j.
4
Suppose -2*j - 19 = 3*t, 2*j = t + t + 6. Suppose -5*n = -h - 0 + 1, 0 = -3*n + 3. Let q be ((-3)/h)/(j/48). Solve -z + q = -5*z for z.
-3
Let q = 35 - 31. Solve q = w + 3 for w.
1
Let a(n) = n**3 + 2. Suppose -5 = x, -5*s + 8 = -x + 3. Let h be a(s). Suppose 0 = 2*w - 2 - h. Solve 0 = i + w*i + 15 for i.
-5
Let k be (-60)/(-70)*14/4. Suppose -t - 3*y + 8 = -4*y, -16 = -2*t + 4*y. Solve -t*q + k*q = -10 for q.
2
Suppose 3*y = -3*k, y + k + 2*k + 6 = 0. Solve 0*i - y*i - 15 = 0 for i.
-5
Let n = -5 + 8. Let g = n - 2. Let k = 5 - g. Solve 0 = 2*d - k*d for d.
0
Let h(l) = l**3 - 2*l**2 + 1. Let t be h(1). Let b = t - -7. Solve -4*w - 1 = b for w.
-2
Let l(v) = v + 5. Let a = 7 - 12. Let y be l(a). Solve p - 1 + 3 = y for p.
-2
Suppose -4*w = -3*q + 26, 0 = -0*w + 2*w - 2. Solve 4*h + 2 = q for h.
2
Let g = 3 + 0. Suppose g*f + 4 = 19. Let l be (-1 + -2)*3/(-9). Solve -f + l = 4*n for n.
-1
Suppose 3*i + o = 6*o + 19, 4*i - 5*o = 22. Solve -c + 2*c = -i for c.
-3
Suppose -3*n = -1 - 8. Suppose c - 12 = -n*c. Solve -c = d + 1 for d.
-4
Suppose 5*b - 3*a = -a + 7, 3*a - 9 = b. Solve -3*u + 6 = -b for u.
3
Let r(a) = a**3 - 10*a**2 - 12*a + 15. Suppose -3*j - 2*h = -23, -5*h + 9 - 34 = 0. Let p be r(j). Solve p = u + u for u.
2
Let t(o) = -o**3 - 5*o**2 - 5*o - 5. Let n be t(-5). Let l(c) = c**2 - 3. Let i be l(-5). Suppose 3*j + 18 = m, m = -0*m - 5*j - i. Solve 2*a = -m*a - n for a.
-4
Suppose -12*h = -h - 44. Solve h*r = -5 - 15 for r.
-5
Let g = -13 - -21. Suppose -7*u = -g*u. Solve u = -3*h + 3 for h.
1
Let m(c) = c**2 - 3*c - 7. Let z be (21/9 + -2)*15. Let a be m(z). Suppose -1 = -a*o + b - 0, 2*o = -3*b - 3. Solve o = 4*l + 2 - 10 for l.
2
Suppose 3*u + 3 = -5*h, 0 = -h - 0*h - 3. Solve 0*f = u*f + 4 for f.
-1
Let v = -8 + 0. Let s be v/(-20) + (-13)/(-5). Suppose -3*l - l = -s*u - 11, -3*u = 3*l - 3. Solve -l*m + 1 = -7 for m.
4
Suppose 0*t + 5 = -t. Let n = 9 + t. Solve -8 - 12 = n*u for u.
-5
Let b be (-6)/(-1)*4/6 + -3. Solve 0*m - b = m for m.
-1
Suppose -d = 3*d. Suppose -2*z = -4*z + 6. Suppose z*q - 1 - 5 = 0. Solve -q*x = -d*x for x.
0
Let p = 21 - 11. Let v(i) = i**2 - i. Let n be v(-1). Suppose 4*w = n*w + p. Solve -17 = -w*z + 8 for z.
5
Suppose -5*h = -0*h - 10. Suppose 0 = 2*b + 5*n - 25, -10 = -0*b - 3*b - h*n. Solve 0*t + 2*t - 2 = b for t.
1
Let r(n) = n**3 - 2*n**2 - 4*n + 4. Suppose 3*k - 2*k = 5. Suppose 6 = 3*f + 3*q - 12, -k*f - 2*q + 21 = 0. Let t be r(f). Solve -2*i - 3 - t = 0 for i.
-2
Let v = 12 + -4. Solve 5*l + v = 3*l for l.
-4
Suppose -f + 10 + 1 = -3*n, 2*f - 19 = 3*n. Suppose -4*g + 2*x = -10, 13 = -2*g + 6*g + x. Let o = f - g. Solve o*y = y for y.
0
Suppose -3*l + 134 = -l. Suppose 3*d + l = 4*d. Suppose d = 5*r - 38. Solve -r = 5*m - 6 for m.
-3
Let y be (-3)/9*(-16 + 1). Solve y*o + 1 = -19 for o.
-4
Suppose 0 = -2*k - 4*u, k + 0*u = -u. Let l be -1 + 1 - (-6 + 0). Let v be (-16)/24 + (-16)/(-6). Solve k*m - v*m = l for m.
-3
Let c(b) = -b - 11. Let d be c(-11). Solve 0 = o + 3 - d for o.
-3
Let a(v) = v**2 + 3*v + 4. Let z be a(-2). Suppose -1 = -o + z. Solve o*w - w + 6 = 0 for w.
-3
Suppose 3*v - 5 - 1 = 0. Solve -3*l + v*l = -3 for l.
3
Let n = -105 - -111. Solve 4 = 2*m - n*m for m.
-1
Suppose 7*g - 6*g - 5 = 0. Let c(s) = s**2 - 2*s. Let l be c(2). Solve l*q - 20 = -g*q for q.
4
Let w = -17 + 26. Solve 2*b = -b - w for b.
-3
Let t be (6/(-9))/((-5)/45). Suppose -2*u = -t, c - 24 = -4*u - 3. Solve -w + 4*w = -c for w.
-3
Suppose -3*h + 20 = 5*r - 27, 3*r - 12 = 0. Let z(c) = 11 - c + 4 - 4. Let i be z(h). Solve -3*g - i + 8 = 0 for g.
2
Let u be (-3)/(-2)*(-40)/(-6). Let b be 7/2 + 15/u. Suppose c = -0*c. Solve b*o = -c*o for o.
0
Let o = 5 - 4. Let s be (o/2)/(2/20). Solve s + 4 = -3*u for u.
-3
Let k be 4 - (16/2)/2. Solve k*y + 3*y = -3 for y.
-1
Suppose -2*w + 9 = -5*h, 0*h - 2*h = 3*w + 15. Let x be (-1)/((-93)/30 - h). Let z = x - 9. Solve 0 = 3*p + z + 8 for p.
-3
Let d = -32 - -37. Solve 10*w = d*w for w.
0
Suppose 2*m - 40 + 12 = 0. Let p = m - 9. Solve p*o = o for o.
0
Let d(v) = 6*v + 2. Let f be d(0). Suppose 3*y = -2*j + 52, -j - 2*y = -2*j + 12. Suppose -2*a = -a - j. Solve 2*l = -f*l - a for l.
-5
Let a(d) = -d**3 + 7*d**2 - 5*d - 2. Let l be a(6). Suppose 0 = -l*o + 17 - 5. Solve 3 = o*n + 18 for n.
-5
Let w be 2/4 + (-117)/(-18). Let c = w + -16. Let q = c - -11. Solve -5*a = -3*a - q for a.
1
Suppose u = 2*u. Suppose -5 - 1 = -2*c. Suppose 4*o - 11 + c = 0. Solve -6 = -o*y - u*y for y.
3
Let z = -7 - -11. Suppose 2*j - 4*d + 22 = 0, -2*j + 4*d - 24 = -d. Let x = -4 - j. Solve z*o = o + x for o.
1
Let w(d) = 3*d - 12. Let m be (5 + -6)/(1/(-5)). Let z be w(m). Solve z*n = -2 + 11 for n.
3
Let d(l) = l**3 + 3*l**2. Let b be d(-3). Suppose c = -2*c + 24. Let u = b + c. Solve 0 = -3*y + u*y - 5 for y.
1
Let n be (0 - -3) + (-11)/(-11). Solve n - 9 = -p for p.
5
Let z(t) = t**3 - 9*t**2 + 8*t. Let h be z(8). Solve -a - 3*a = h for a.
0
Let h(m) = 2*m**2 + 2. Let r be h(2). Solve 0 = -0*d + 2*d - r for d.
5
Let g be (-36)/(-10) + (-3)/5. Solve 2*q + g = q for q.
-3
Let a(b) = 6*b**2 - 9*b + 4. Let r(n) = 5*n**2 - 8*n + 4. Let f(z) = -4*a(z) + 5*r(z). Let s be f(3). Suppose -u = -s - 3. Solve p = 3*p + u for p.
-2
Let b be 0 + 0/(-2) + 2. Let l = -55 + 57. Solve -b*a = -a - l for a.
2
Suppose 2*f - 6*f - 4*s + 32 = 0, 3*s = f + 8. Suppose -5*r - 6 = 4, -p + 2*r + f = 0. Let g(w) = w + 2. Let y be g(0). Solve p = -y*i + i for i.
0
Suppose 2*d + 2*r + 104 = 7*d, -5*d = 3*r - 94. Solve -4 = -4*p - d for p.
-4
Suppose 2 = 9*a - 8*a. Solve -a*f - 15 = 3*f for f.
-3
Let v(s) = -s**2 + 2*s. Let o be v(2). Suppose o = -0*f - f + 3. Solve f*p = 5 - 17 for p.
-4
Suppose -4*s = 3*b + 10 + 12, -5*s = 3*b + 26. Let o be (s - -1) + 6*1. Solve 0 = -o*r + 14 - 5 for r.
3
Let x(f) = 26 - 58 - 3*f + 28. Let r be x(-8). Suppose -2*h + 24 = 2*h. Solve h*w = 2*w - r for w.
-5
Let q = -7 - -10. Suppose 0 = -2*m + 5*m - z + 5, 3*m = | {
"pile_set_name": "DM Mathematics"
} |
e value of -7 + 0 + (10 + 1 + -3 - -14)?
15
Evaluate -8 + (-7 - -48 - 30).
3
What is the value of 140 + -76 + -63 - (-11 - 1)?
13
What is (-2 + 2 - 2) + (-41 - -21 - -16)?
-6
Calculate 34 + -23 + -1 + -4 + -11 + -6.
-11
Calculate 13 + 9 + -20 - (3 + 0).
-1
Calculate 5 + 17 + -34 + 18.
6
What is 3 + (3 - 3) + 0 + -3 - -13?
13
What is -6 + -3 + 9 + -1 + 9 - 17?
-9
What is 6 - -21 - ((7 - 5) + -5 + 1)?
29
4 + (-2 - 0) - (0 - (28 - 22))
8
Calculate 12 + 2 - (-3 + -3 - -12) - -3.
11
Evaluate 20 + (7 - -9) - 19.
17
-8 + -25 + 3 - -9 - -8
-13
What is the value of -1 - (12 + -11 - (-12 - -6))?
-8
Calculate 2 - (-4 - ((-32 - (-3 - 2)) + 7)).
-14
1 - 17 - (-20 + (-3 - -17))
-10
What is (-2 + -26 - (-3 - (2 - -2))) + 7?
-14
(-53 - (-154 - -104)) + (0 - 1) + -3
-7
What is the value of -2 + 7 + -33 + 14 + -7?
-21
What is the value of 8 + 1 + (22 - 2 - (-3 + 6))?
26
Calculate -11 + 40 + 16 + -31.
14
Evaluate (-1 - 5) + (-127 - -131) - -4.
2
Calculate 5 - -10 - 0 - (12 - (4 - -3)).
10
What is -13 + (10 - (3 - 1)) + 16?
11
What is the value of 5 - (-17 - -20 - -16) - 8?
-22
Calculate (0 + (-7 - -6) - 4) + 13 + -18.
-10
What is (6 - 3) + -2 + 6 + -1?
6
What is (-55 - -12 - -51) + 6?
14
Evaluate (-1 - -1) + (6 - -3) + -9.
0
Evaluate -1352 - -1382 - (7 - 1).
24
-26 + (27 - 51) + 41
-9
Evaluate (5 - 0) + (4 - (0 + 1)) + -4.
4
What is -24 - ((-2 - 10) + -1)?
-11
What is -50 + 15 + 4 + (-11 - -11)?
-31
Evaluate (2 - 6) + 47 + 209 + -222.
30
What is 7 + (-6 - (7 - (6 + 6)) - 5)?
1
Evaluate -15 + -10 + 21 + -10.
-14
Calculate -14 + (-28 - -20) - -30.
8
What is the value of 9 - (8 - (-35 + 16))?
-18
Calculate 14 - ((9 - 42) + 52).
-5
(-23 - (-19 - -10)) + 7 + (0 - 1)
-8
Calculate -12 - -17 - 5 - -3.
3
What is the value of 3 + (-1 - 3) - (18 - 11 - -13)?
-21
(11 + (5 + 1 - -27) - 6) + -4
34
Calculate 196 - 207 - (21 - 0) - (-5 - 1).
-26
What is the value of -5 - -2 - (-7 - (-15 - -8))?
-3
What is the value of (-1 - -1) + -21 - (-26 - (-66 - -39))?
-22
-11 + (8 - 3) + 9 + -12
-9
What is 33 + -23 + -5 + 12 + 16?
33
What is the value of 1 + (2 - 1) + 0 + 198 + -208?
-8
What is -7 + 2 + 13 + -3 - (1 + 2)?
2
Calculate 26 + (6 - (4 - -15)).
13
Evaluate (4 - -6) + -2 + (-19 - 0).
-11
(8 - 9) + 4 + -2 + -1 - -5
5
What is the value of -3 - ((-14 - -18) + (2 - 3) - 3)?
-3
(-2 - -7) + -1 + (-9 - (-9 + 2))
2
Evaluate -5 + (0 - (-1 - -3)) + (-151 - -172).
14
2 + -2 - 6 - (42 - (-15 - -58))
-5
(12 - 15) + 1 + -7
-9
Calculate (-2 - (-2 + 4 + -3 + 10)) + 7.
-4
13 - (-9 + 20 - (20 - 7))
15
What is the value of -10 + (8 - 13) - (-17 - -3)?
-1
Calculate -18 + (7 - (-3 + -12)).
4
Calculate -14 + -14 + -3 + 0 + 6.
-25
What is (4 - 2) + -9 - (-60 - -57)?
-4
Calculate -12 - 0 - (3 + (26 - 40)).
-1
Evaluate (1 + -3 - -2) + -23 + -24 + 25.
-22
What is the value of (-11 - -20 - (-10 + -20)) + 1 + -6?
34
-3 + 6 + (-5 - -4) + 1 + -1
2
Calculate 0 - 15 - ((-18 - -7) + 9).
-13
What is 7 - (-6 + 23 + -19)?
9
-40 + 24 + (18 - 2)
0
(-11 - (-23 + 18 + -14)) + 0 + 6
14
What is 21 - (-11 + 7 + 17)?
8
What is 34 + (-19 - (11 - 13))?
17
What is the value of 2 - -3 - 0 - -1 - -2 - 6?
2
Evaluate (16 - -25 - 42) + 17 + -2.
14
Evaluate 8 - 3 - (35 + -20 - 17).
7
-4 + 0 + -2 + (-8 - (-13 - 0))
-1
Calculate 4 - -23 - (-52 + 74).
5
Evaluate 7 + -34 + 42 + -24.
-9
What is the value of 1 - (3 - 5) - -14?
17
Evaluate 1 - -19 - (662 - 628).
-14
What is (-4 - -11 - 8) + -57 + 42?
-16
Evaluate -11 + (4 - ((-4 - -4) + (-7 - -5))).
-5
What is the value of (-1 - -6) + 723 + -710?
18
Evaluate 5 - (-30 + 39 - (3 + -2)).
-3
What is -3 + 2 - 3 - (0 + -10)?
6
Calculate 7 + -4 + 6 - (15 + -6).
0
0 + 11 - (-39 + 46)
4
What is 0 - (14 - (27 - 33))?
-20
What is (7 - (3 - -2) - 7) + (-1 - 11)?
-17
Evaluate -10 - (-14 + (4 - -5)) - -24.
19
What is -11 + 1 + 23 + (10 - 4)?
19
What is the value of (3 - -7 - 13) + 1 + 2?
0
Evaluate 11 + 7 + -26 + 17.
9
3 + 26 + -16 + -26
-13
Calculate -4 - (5 - (6 + -5 + 1)).
-7
Calculate 4 - (9 + -4 - 2 - 15).
16
(4 - 0) + (-14 - -9) - (0 + -1)
0
Evaluate 5 - 33 - -11 - -11.
-6
What is the value of 5 - (3 - (0 - (-9 - -8))) - -26?
29
3 + 4 + 9 + -16 + -6
-6
What is -1 + 3 + -6 + (6 - (-2 - -5))?
-1
What is -1 - (0 + 1 + (-8 - -4) + -1)?
3
1 - (23 - (58 + -24))
12
What is (22 - 27) + 21 + -6?
10
What is -4 + (2 - -8 - 3) + 1?
4
What is the value of 15 - 24 - (-1 + -4)?
-4
-4 + 13 - 4 - (-3 - (-1 + -3))
4
Evaluate -13 + -3 + (-11 - -9) + (3 - 0).
-15
Calculate (23 - (-1 + -1 + 7)) + (-8 - -4).
14
What is -2 - ((6 + -7 + 16 - 8) + -5)?
-4
What is the value of -3 - (-2 - (-6 - 16) - 5)?
-18
Evaluate -22 - (-36 - -13) - 11.
-10
What is the value of 12 - 21 - (4 + -5 + 2)?
-10
(-6 - (-7 + 11)) + 13 + 0
3
(10 - 0 - 5) + -8 + 13
10
Calculate 1 + 8 + -3 + -3 - -7.
10
What is (-15 - 11) + 16 + -3?
-13
Calculate -2 + -2 + (9 - (11 - -2)).
-8
What is the value of -3 - (-6 + (0 - -1)) - (-3 - -8)?
-3
-20 - (12 - (18 - -21))
7
-26 + 3 - (46 + -49)
-20
What is the value of 0 + -31 + -2 + 17?
-16
Calculate -20 + -3 + 251 + -228.
0
Calculate -348 + 342 + (-1 - (1 + -15)) + 1.
8
Calculate (3 - 1 - (8 - 2)) + (6 - -16).
18
What is the value of (-7 - (-4 - -18 - 14)) + 9?
2
What is -8 + 2 + (1 - 0) + -14 + 15?
-4
Calculate -2 - (26 + 0 + -42 - (-1 + -6)).
7
(-5 - (-5 - -14)) + (28 - 18)
-4
Evaluate ((8 - -6) + -6 - 0) + (-8 - -1).
1
What is the value of 1 + -31 + 34 - -12?
16
Calculate (10 - 5) + -12 - (-11 - -10 - -7).
-13
Evaluate 1 + -24 + 29 - -8.
14
What is -174 + 188 - (22 + 4)?
-12
What is the value of 23 + -31 - (-1 - 6) - 9?
-10
What is -6 - -46 - (-3 + 0 + 12)?
31
What is -3 + -43 + 35 + (1 - -18)?
8
What is -10 - (-2 + -4 + 21 + -18 + 5)?
-12
What is -41 + 32 - (-30 + 2) - 10?
9
Evaluate 0 + -1 + 1 - (188 + -193).
5
Evaluate 0 + -3 - (3 - (-7 - -4 - -6)).
-3
-15 - (-2 + (-7 - -4 - 37))
27
Calculate -5 + (3 - 0) + 26.
24
What is 16 - 14 - (4 + -1 + -3)?
2
Calculate -2 - ((19 - 6) + -5 - 12).
2
Evaluate -8 - -2 - (3 + -5 + 5).
-9
Calculate ((-10 - -5) + 5 - 0) + (13 - 1).
12
Calculate (-363 - -384 - (0 - 15)) + -10 + 0.
26
Calculate 9 + (-13 - (1 - 10)).
5
Evaluate 6 + (2 - 2) + 17 + -35.
-12
1 + (5 - (-3 + 2)) + (55 - 73)
-11
Calculate -23 + (1 - -7) - (56 - 90).
19
What is the value of (-11 - 1 - -1 - -14) + -8?
-5
What is the value of 19 + -4 + -11 + (1 - 4)?
1
What is -6 + (0 - -4) + 6 - (2 + -17)?
19
What is 7 - (9 + (-2 - (0 + -4)))?
-4
What is (-26 - (-8 - 37)) + -48?
-29
What is the value of (-144 - -139) + 5 + (1 - 4)?
-3
-2 - (-8 + -5 - -24)
-13
What is -9 - (8 + -17) - 3 - (0 + 9)?
-12
Calculate -6 + 0 + -38 + 24.
-20
What is -12 + 0 + 15 - -3?
6
What is 25 + 4 + 13 + 5 - 17?
30
Calculate 10 - (0 + 15 - -3).
-8
Calculate -6 + -9 + (-3 - -5 - -23).
10
Evaluate -10 + 2 + 3 + 3 + -3.
-5
What is (-2 - (-1 + 12)) + 8?
-5
-9 + 19 + -20 - -11
1
What is the value of (-15 - (-3 + 1)) + 27 + -20 + 9?
3
Calculate 14 - 24 - 0 - -2.
-8
What is the value of 32 + -19 + -22 - (1 + -2 - -11)?
-19
What is -33 - ((0 - 6) + 16 + -6 + -10)?
-27
(67 + -99 - (2 - 11)) + 13 + -1
-11
-2 - (-5 - (2 + (-13 - 1)))
-9
What is the value of -32 - (128 - 127 - (9 + -1))?
-25
Calculate -1 + -4 + 17 + -1.
11
What is the value of -3 + (1 - (-37 + 35 + (-1 - 1)))?
2
Calculate (-11 + (17 - 9) - 5) + (3 - 0).
-5
Calculate -11 + 3 + -1 - ((-1 - -11) + -17).
-2
Calculate -21 + 2 + (-7 - (-9 + -3 + 2)).
-16
What is -13 + (-34 - (18 + -83))?
18
Evaluate (3 - -17) + 2 - (-32 + 28 + 9).
17
73 + -58 + (1 - 20)
-4
Evaluate (-3 - (-18 - 1)) + -7 + 15 + -14.
10
0 + -7 + 0 - (-74 - -45 - -39)
-17
What is the value of 8 + 3 + 26 + -12 + 1 + -7?
19
What is (12 - (11 + -14 + (-10 - -2))) + -6?
17
What is the value of -8 + (0 - (11 - (9 - (-8 - -2))))?
-4
Calculate 0 + -49 + 25 + 2.
-22
What is (3 - (-1 + (-1 - -4 - 4))) + 1?
6
What is -4 + -2 + (-11 - -15)?
-2
What is the value of (0 - 9) + 303 + -286?
8
What is the value of -7 - (5 - 13 - -3 - (-8 + -15))?
-25
Calculate 0 + -3 + (-123 - -144).
18
Calculate (11 - (15 - 10)) + -8 + 14.
12
What is the value of (9 - 1) + 4 - (0 - -28)?
-16
-2 + -3 + 9 + -2 + 119 + -117
4
What is the value of -8 - (-3 + 0 + 13) - 0 - -8?
-10
What is 1 + 1 + (-68 - -44) + 19?
-3
Evaluate -247 - -247 - (31 - 1) - (-5 - 0).
-25
Evaluate 51 + -39 + -7 + -3 - (-2 + -5).
9
-23 + (-14 + 9 - -17) + -6
-17
What is the value of | {
"pile_set_name": "DM Mathematics"
} |
q**3 + 3*q**3) to the form m*q**3 + s*q**4 + o*q + j + x*q**2 and give x.
0
Express (-1 + 5 + 2*m - 2)*(-1 + 0 + 0)*(12 + 30 + 13)*(6*m + 20*m + 4*m) in the form q*m**2 + y + b*m and give q.
-3300
Express 5*g - 5*g - 13*g - 49*g**3 + 3 - 5 + 3 as j*g**3 + w*g + t + m*g**2 and give j.
-49
Express 121*u - 5 - 123*u - 4 in the form r*u + j and give j.
-9
Rearrange -3*b**2 + 13147*b + 15*b**4 + 3 - 13148*b - 6*b**3 + 3*b**2 to p*b**4 + y*b**3 + n*b**2 + u + d*b and give u.
3
Express (26 - 14 - u + 0*u)*(-u**3 - u**3 - 6*u**3 + (-u + 0*u + 3*u)*(2*u**2 + 1 - 1)) as o*u**2 + z*u + f + q*u**4 + i*u**3 and give q.
4
Rearrange (-2 + 2 + 10*r)*(2 - 2 - 2*r) + 0*r**2 + 27*r**2 + 4*r**2 to the form j*r + a*r**2 + v and give a.
11
Rearrange 361*w**2 - 115*w**2 - 9*w**4 - 28*w - 115*w**2 - 133*w**2 to k*w + g + y*w**3 + s*w**2 + x*w**4 and give g.
0
Rearrange (-2*n + 0*n - 2*n)*((-1 + 2 + 0)*(-15*n**3 + 6*n**3 - 11*n**3) + 2*n**3 - 1 + 1) to the form l*n**4 + r*n**2 + u*n**3 + x*n + w and give l.
72
Express 8 - 4*h**3 - 37 - 9*h**3 + 16*h**3 as c + k*h**2 + j*h**3 + u*h and give c.
-29
Express (4 - 4 + 3 - 2 + 1 + 3 + (-2 + 3 - 2)*(4 - 1 - 2) - 3 + 1 + 4 - 1 - 3 + 3)*(-108*s - 167*s + 102*s) as k + d*s and give d.
-865
Rearrange (-6*q + 7*q - 19*q)*(11 - 11 + q**2) + 2*q + 2*q**3 - 2*q to r*q**2 + k*q + a + v*q**3 and give v.
-16
Rearrange (-2*d + 2*d - d)*(2 - d**2 - 2) + (-6*d**2 + 3*d**2 + 2*d**2)*(-1783*d - 1043*d + 2069*d) to the form x*d**3 + g*d + b + t*d**2 and give x.
758
Rearrange 122*q**2 + q - 145 + 145 - 32*q**2 to the form p + k*q + o*q**2 and give p.
0
Rearrange (1 - 1 - 2*k**2)*(-5*k + k + 3*k) - 18*k**2 + 18*k**2 - 31*k**3 to o + g*k**2 + x*k**3 + l*k and give x.
-29
Express 31*n + 17*n - 19*n - 189*n - 110*n as i + z*n and give z.
-270
Express 19 + 11 + 2*h + 16 - 36 + 2*h as d + g*h and give g.
4
Rearrange (-3*a**2 - 1 + 1)*(253*a - 253*a + 59*a**2) to k + l*a + t*a**3 + y*a**2 + m*a**4 and give m.
-177
Rearrange -5*n - 38 - 37 + 81 to v + k*n and give v.
6
Express 0*u + u + 0*u + 0*u + u + u + (-2 - 1 + 2)*(0*u + u - 2*u) + (-9 - 9 + 5)*(u + u - 4*u) in the form l*u + i and give l.
30
Express (5*o + 0*o + 3 - 3*o)*(13*o - 34*o - o) as a + l*o**2 + d*o and give d.
-66
Express -c**3 - 2*c**3 + 4*c**3 + 4*c**3 + 0*c**3 + 0*c**3 + (-2*c + 0*c + 3*c)*(4*c**2 + 0 + 0) as o*c**2 + j*c + k*c**3 + u and give k.
9
Rearrange -160*s - 103*s**3 - 3*s**4 + 5*s**4 - 103*s**3 + 204*s**3 to the form v*s**2 + d*s**3 + c*s**4 + m + q*s and give d.
-2
Express (487 - 487 - 227*u)*(4*u - u - 4*u) as n + j*u + h*u**2 and give h.
227
Express -291*m**2 - 1139*m**2 - 13*m**2 as o*m**2 + c + s*m and give o.
-1443
Rearrange -1290*n**4 + 2 - 3*n**2 + 6*n**2 + 1409*n**4 to h*n**3 + g*n + z*n**2 + v + a*n**4 and give h.
0
Rearrange 189*c**2 + 197*c**2 - 330*c**2 + 3*c to the form o + r*c**2 + m*c and give m.
3
Rearrange 0 + 537*u**2 + 0 - 433*u**2 to the form a*u + g*u**2 + l and give g.
104
Express 50*q - 55*q - 89*q - 80*q + 2*q - 3*q + 4*q + (-3*q + 3*q - q)*(-3 + 2 - 1) as x + w*q and give w.
-169
Rearrange 46*g**2 + 542*g - 16*g**2 - 15*g**2 - 17*g**2 to s*g + d*g**2 + p and give s.
542
Express -5*d + 17*d - 7*d**4 + 5*d**3 - 10*d - 1 - 4*d in the form r*d + l*d**4 + m*d**3 + q*d**2 + v and give l.
-7
Rearrange (-205*w - 308*w + 107*w)*(-w - 2*w**2 + w) to n*w**2 + y + c*w**3 + v*w and give c.
812
Rearrange (40 + 22 - 14 - 1 - 3 + 3 + (2 - 2 - 5)*(-3 - 1 + 6))*(0 + 0 - b) to a*b + d and give a.
-37
Express -1701*n**2 - 4*n**3 + 0*n**4 + 6*n**3 + 1700*n**2 - n**4 in the form j*n**3 + r*n + p*n**4 + x + h*n**2 and give h.
-1
Express (o - 2 + 2)*(12*o + 14*o + 4*o)*(20*o - 5*o + 10*o)*(0 + 2 - 3) in the form c*o + s*o**2 + x + r*o**3 and give c.
0
Rearrange -80 - 13*z + 17*z - 79 - 3*z**3 + 188 - z**2 + 2*z**3 to a*z**3 + d*z**2 + u + o*z and give a.
-1
Rearrange k**2 - 4*k**3 - 4*k**3 + 7*k**3 + 172 - 194 to the form l + z*k + x*k**3 + u*k**2 and give u.
1
Rearrange 0 - 3 + 184*x**2 - 36*x**2 - 23*x**2 - x**3 to the form p*x**3 + t*x**2 + r*x + q and give p.
-1
Rearrange (0*i + 0*i + i**4)*(61 - 11 + 11)*(2 + 4 - 1) to the form k*i**3 + j*i**4 + v*i + g*i**2 + d and give j.
305
Express (5 - 5 - 2*u)*(3 - u**2 - 3) + 2*u**3 - 5 + 5 - 9*u + 116*u**3 + 110*u**3 - 239*u**3 in the form x*u**3 + v*u + d + o*u**2 and give x.
-9
Express t - 22 - 16 - 2*t**2 + 10 + t + 4 as d*t**2 + g*t + u and give g.
2
Rearrange -33*t - 3*t**2 - 2*t**2 + 1 + 9*t**2 + 2*t**2 - t**2 to the form k + n*t**2 + l*t and give l.
-33
Express (-44*j - 308 + 308 + (-3*j - 2*j + j)*(-2 - 3 + 6))*(-j**3 - 2*j**2 + 2*j**2) as m + x*j**4 + z*j**2 + v*j + o*j**3 and give x.
48
Rearrange 30 - 31 + 2*z**2 + 61*z**3 - 272*z**3 + 2*z to the form j + n*z + a*z**3 + d*z**2 and give d.
2
Rearrange (-2 - 4*c**3 + 1 + 5*c**3)*(-9*c - 54*c - 18*c) to a + g*c + o*c**2 + y*c**4 + b*c**3 and give g.
81
Express 6 - 19*h - 1 + 18*h + (-2 + 5 - 2)*(3*h - h - 3*h) + (5 - 7 + 12)*(3*h + 2*h - 6*h) in the form i*h + u and give u.
5
Express (-665 + 530 - 4*v - 310)*(0*v - 2*v**2 + 0*v) in the form l + a*v**3 + t*v + q*v**2 and give a.
8
Rearrange -2039*x**2 + 2040*x**2 + 123*x + 60*x to u*x + k*x**2 + t and give u.
183
Rearrange n**4 + 1 - 29*n - 78*n - 2*n**3 + 5 - 13 - n**2 + 8 to u*n**2 + v*n**4 + z*n**3 + m + s*n and give s.
-107
Express (14 + 6 + 7)*(27 + 61 - 22)*(x**3 + x**3 - 4*x**3) as j + u*x**3 + f*x + n*x**2 and give u.
-3564
Express 110664 - 2*w**3 - 2*w**4 + 3*w**2 - 110664 - w as q + b*w**4 + z*w + y*w**3 + o*w**2 and give q.
0
Express 7*t**2 - 4 - 9*t**2 - 2*t - 8*t**3 + 12*t**2 + 4 as n*t**2 + d*t**3 + x + p*t and give d.
-8
Express 2*g**2 - 41*g - 27*g - 61*g + 35*g + g**2 as j*g**2 + b*g + q and give j.
3
Express 8*s + 8*s + 27*s**2 - 17*s + 2*s**2 - s**2 - 3*s**2 + (0*s + 0*s - s)*(-4*s + 48 - 48) as a*s**2 + t*s + f and give t.
-1
Express ((-4 + 1 + 1)*(-1 + 1 + 1) + 186 - 106 + 166 + 1 - 2 - 1)*(0*n + 0*n + 2*n)*(1 - 1 - 2*n) in the form b + l*n + p*n**2 and give p.
-968
Express k**2 + 0*k + 0*k + (8*k**2 + k - k)*(-4 + 2 + 3) as p + z*k + q*k**2 and give q.
9
Express (11 - 11 + 20*t)*(4 - 5 + 2) - 4*t + 3*t + 3*t + (2*t - 3*t + 2*t)*(2 - 5 + 1) + (-1 - 1 + 4)*(3*t + 3*t + 5*t) in the form r*t + m and give r.
42
Express 17 - 2*d**3 + d**2 - 9*d**3 + 6 + 9*d**3 as f*d**3 + a*d**2 + v + j*d and give f.
-2
Express (4*u - 3*u + 2*u)*(-105 - 30 - 65 + (0 + 1 - 3)*(-3 + 3 - 1) + 3 - 2 + 1 + 1 - 1 + 2) as r + q*u and give q.
-582
Rearrange 85*r - 1 - 37*r - 39*r to t + q*r and give t.
-1
Rearrange 29 - 2*b**3 + 30 + 97*b**4 - 81 + 23 to p*b**3 + v*b + y + a*b**2 + h*b**4 and give h.
97
Express -496 + 162 + 163 + 165 + 7*t in the form m*t + g and give m.
7
Rearrange -116*b**2 + 420*b**2 + 56 - 56 to the form c + u*b**2 + z*b and give u.
304
Rearrange 123*s + 505*s - 210*s + 625*s - 168*s - 1 to the form f + k*s and give k.
875
Express 0*n**2 + 3*n**4 - 2*n**4 - 4 - 2*n**2 - 5 + n**2 - 6*n**3 in the form l*n**2 + q*n**3 + w*n**4 + i*n + r and give l.
-1
Express (i**2 - 8*i**2 - 18*i**2)*(1 + 6 - 4 - 2*i) as f + l*i + r*i**3 + o*i**2 and give o.
-75
Express -437*s - 20*s - 52*s as k*s + x and give k.
-509
Rearrange 8*c**2 - 97 + 12*c**2 + 6*c**2 + 4 - 23*c**2 to the form k*c + d*c**2 + o and give d.
3
Express 35 - k**4 + 48*k**3 - k**2 - 42*k**3 - 30 as m*k**2 + a*k**4 + n + q*k**3 + c*k and give a.
-1
Express (-20*d**2 - 64*d**2 - 24*d**2)*(-6*d - 6*d + 3*d) in the form q*d**3 + f*d + p*d**2 + z and give q.
972
Express 1309*s - 27 - 25 + 52 in the form z*s + p and give z.
1309
Express 85*u - 40*u + 3*u**3 - u**4 - 47*u - 7 as j*u**2 + n*u + a + v*u**3 + d*u**4 and give n.
-2
Express (2 + 3 - 3)*(42*g + 451 + 58*g - 448) in the form f*g + n and give n.
6
Rearrange 2*a**3 - 25*a**4 + 9*a**4 - 328*a + 14*a**4 to the form t*a**2 + n + o*a**3 + d*a**4 + f*a and give o.
2
Rearrange (2 - 3 + 2)*(-5*o - 10*o + o) + (-4*o - 4*o + 6*o)*(1 - 1 - 2) to l + j*o and give j.
-10
Express -119*v + 62*v + 66*v in the form u*v + d and give u.
9
Rearrange -2*d + 24 + 9*d - 5*d + 7 + 27 to k + g*d and give k.
58
Express -37 + 22 + 18 - 90*r + (0 + 2*r + 0)*(5 - 2 - 1) in the form k + p*r and give p.
-86
Rearrange 2*d**2 - 2*d**2 + 5*d**4 - 3*d**2 - 6*d**4 - 5*d**4 + d**3 to x*d**3 + s + q*d**2 + a*d + p*d**4 and give q.
-3
Rea | {
"pile_set_name": "DM Mathematics"
} |
h(v)?
3*v**2 + 1
Let u(v) = -5*v**3 + 4*v**2 - 14*v + 1. Let n(x) = 5*x**3 - 3*x**2 + 13*x. Give -4*n(q) - 3*u(q).
-5*q**3 - 10*q - 3
Let g(m) = m + 3. Let r(w) = 14*w - 147. Determine -98*g(x) - 2*r(x).
-126*x
Let x(t) = 2*t**3 + 3*t**2 + 4*t - 40. Let m(q) = q**3 - q**2 - 2*q. Calculate -2*m(f) - x(f).
-4*f**3 - f**2 + 40
Let w(o) = -22*o + 87. Let k(r) = -5*r + 21. Give 9*k(z) - 2*w(z).
-z + 15
Let z(k) = -7*k + 10. Let l(q) = 64*q + 0 - 61*q - 5. Let a(y) = -5*l(y) - 2*z(y). Let s(n) = 2*n - 9. What is 5*a(d) + 3*s(d)?
d - 2
Suppose 5*s - 31 = 14. Let l(v) = s*v + 11*v - 30*v + 9*v. Let h(n) = -4*n - 1. Give h(m) - l(m).
-3*m - 1
Let w(u) = 7*u + 4*u**3 + 9 - 14 - 6*u**3 + u + 6*u**2. Let i(g) = -17*g**2 + 6*g**3 + g**3 - g**3 + 14 - 23*g. What is 6*i(b) + 17*w(b)?
2*b**3 - 2*b - 1
Let p(q) = 15*q**2 - 14*q + 9. Let f = 1275 + -1286. Let w(d) = -8*d**2 + 7*d - 5. Calculate f*w(n) - 6*p(n).
-2*n**2 + 7*n + 1
Let i(s) = 6*s + 2*s + 50 + s + 0*s. Let a be i(-5). Let x(d) = -d + 1. Let u(j) = 5*j - 4. Give a*u(t) + 20*x(t).
5*t
Let z(r) = -r - 112. Let s(c) = 1. Give -5*s(a) - z(a).
a + 107
Let c(s) = -6*s**3 - 3. Suppose -12 = -0*u - 3*u. Let z = -8 - -11. Let i(n) = 8 - 13 + 5*n**z + 7. Calculate u*c(a) + 5*i(a).
a**3 - 2
Let s(y) = 12*y**3 - 2*y**2 - 2*y. Let p(h) = -36*h**3 + 7*h**2 + 7*h. Let r be (2/8)/((-26)/728). What is r*s(n) - 2*p(n)?
-12*n**3
Let c be (2 - -1)/((-11)/(-11)). Let r(f) be the second derivative of -12*f**2 + 12*f**2 - 7*f + f**c + 8*f**2. Let l(o) = 2*o + 5. What is 16*l(q) - 5*r(q)?
2*q
Let v(b) = -6*b - 1. Let p(d) = -17*d - 3. Suppose 5*y = 3*l - 26, 2*l = -5*y - 15 - 1. What is y*p(g) + 11*v(g)?
2*g + 1
Let l(q) = q**2 + 1. Let r = 27 + -35. Let p(j) = 6*j + 42. Let z be p(r). Let i(d) = -7*d**2 + 2*d - 4. Determine z*l(y) - i(y).
y**2 - 2*y - 2
Let y(b) be the third derivative of -39*b**6/10 + 143*b**5/60 + 5*b**2 + 11. Let h(p) = -13*p**3 + 4*p**2. Determine -143*h(z) + 4*y(z).
-13*z**3
Let q(r) = -r**3 - 6*r**2 - 4. Let j(s) = 3*s**3 + 17*s**2 + 11. Let a be 0 - -1*(2/2 + -5). Give a*j(m) - 11*q(m).
-m**3 - 2*m**2
Let d(v) = -v**2. Let l = -66 + 67. Let z(q) = 4*q**2 + q. What is l*z(n) + 5*d(n)?
-n**2 + n
Let c(a) = 26*a - 13. Let x(r) = -8*r + 5. What is 2*c(v) + 7*x(v)?
-4*v + 9
Let s(w) = w - 71. Let y(g) = -4*g + 283. Determine -9*s(l) - 2*y(l).
-l + 73
Let a(y) = -5*y**2 - 17*y + 17. Let j be a(1). Let t(m) = 5. Let r(g) = -2*g - 40. Calculate j*r(v) - 40*t(v).
10*v
Let i(d) = 15*d - 157. Let g(r) = 13*r - 159. Determine 6*g(k) - 5*i(k).
3*k - 169
Let m(j) = -36*j - 1. Let b(w) = -1. Give 6*b(k) + m(k).
-36*k - 7
Let v(s) = s**2 - 580 + 572 + 6*s**3 + 7*s**2. Let r(w) = 16*w + 65. Let n be r(-4). Let b(x) = -x**3 - x**2 + 1. What is n*v(l) + 8*b(l)?
-2*l**3
Let o(x) = -4*x + 71. Let i(m) = 3*m - 1. What is 2*i(l) + o(l)?
2*l + 69
Let a(r) = 2*r**2 - 8*r. Let s(o) = -o**2 + 4*o. Let h(g) = g**2 + g - 5. Let x be h(-1). What is x*s(n) - 2*a(n)?
n**2 - 4*n
Let h(m) = 3*m**2 + 11*m - 11. Let w(k) = -2*k**2 + k - 1. Let g(n) = -n**2 + 2*n - 2. Let o = -4 - -1. Let j(z) = o*g(z) + 2*w(z). Give -4*h(c) - 11*j(c).
-c**2
Suppose -x + 2484 = 2479. Let w(s) = -11*s**2 + 5*s - 22. Let k(i) = -7*i**2 + 3*i - 15. Calculate x*w(y) - 8*k(y).
y**2 + y + 10
Let u(f) be the third derivative of -5*f**4/24 + 5*f**3/6 + 98*f**2. Let w(m) = -m**2 + m - 1. Give -u(h) - 5*w(h).
5*h**2
Suppose 359 = -121*o - 367. Let b(k) = -7*k**2 + k + 4. Let g(f) = 6*f**2 - f - 3. Give o*g(c) - 5*b(c).
-c**2 + c - 2
Let u(w) = 14. Let a = -470 + 469. Let c(n) = n. Determine a*c(y) - u(y).
-y - 14
Let f(x) = 6*x + 3. Let p = 10 + -15. Suppose -41 = 4*b - 9. Let t(m) = -11*m - 11. Let l(u) = 12*u + 14. Let n(w) = 2*l(w) + 3*t(w). Calculate b*f(d) + p*n(d).
-3*d + 1
Let z(a) = 3*a**3 + 26*a. Let s(h) = -3*h**3 - 26*h. Give -4*s(j) - 5*z(j).
-3*j**3 - 26*j
Let o(i) = 9*i - 24*i + 5*i + i + 13. Let k(x) = 3*x - 4. Determine -7*k(p) - 2*o(p).
-3*p + 2
Let v(d) = 483*d + 12. Let o(q) = -241*q - 7. Give -7*o(l) - 4*v(l).
-245*l + 1
Let w(x) = 14*x**3 - 20*x**2 - 14. Let l(f) = 13*f**3 - 29*f**3 - 4 + 7*f**2 + 9 + 5*f**3 + 6*f**3. Calculate 17*l(i) + 6*w(i).
-i**3 - i**2 + 1
Let x(g) = -152*g**2 + 44*g + 44. Let p(j) = 10*j**2 - 3*j - 3. Give -88*p(h) - 6*x(h).
32*h**2
Let h(o) = -5*o**3 + 4*o**2 - 2*o + 378. Let m(n) = -n**3 + n**2 - n - 1. Calculate -h(d) + 4*m(d).
d**3 - 2*d - 382
Let c(i) = 4*i**3 - 3*i**2 + 9*i. Let a(v) = 25*v**3 - 17*v**2 + 54*v. Calculate 6*a(h) - 38*c(h).
-2*h**3 + 12*h**2 - 18*h
Let x(h) = h**2 + 4. Let v(n) be the first derivative of -n**4/4 - 2*n**3/3 - 5*n - 1. Suppose -40*q - 114 = 2*q + 12. What is q*x(p) - 2*v(p)?
2*p**3 + p**2 - 2
Let x(m) = -4*m**3 - 3*m**2 - 8*m + 27. Let u(o) = -3*o**3 - 2*o**2 - 7*o + 24. Calculate -3*u(y) + 2*x(y).
y**3 + 5*y - 18
Let a(q) = q**3 - q**2 + 1. Let h(n) = -6*n**3 + 4*n**2 - 4. Suppose 0 = -o + 2*b + 9, 5*o - 4*b = 48 - 15. What is o*h(p) + 20*a(p)?
-10*p**3
Let f(x) = -160*x - 160*x + 317*x + 10. Let q(c) = -4*c + 10. Calculate -3*f(d) + 2*q(d).
d - 10
Let w(d) = -5*d**3 + 17*d**2 + 76*d + 6. Let i(p) = -p**3 + 4*p**2 + 19*p + 1. Determine 9*i(q) - 2*w(q).
q**3 + 2*q**2 + 19*q - 3
Let z(o) = o - 1. Let v(c) = -11 + 3 + 8 - c. Determine 4*v(d) + z(d).
-3*d - 1
Let j(g) = -363*g - 19. Let r(w) = -121*w - 7. Calculate -3*j(b) + 8*r(b).
121*b + 1
Let u(y) = -y**2 + 4*y. Let j(g) be the second derivative of g**3/6 - 457*g. Determine 2*j(s) - u(s).
s**2 - 2*s
Let b(g) = -g + 1. Let u = 7 + -11. Let v(x) be the second derivative of x**4/12 - x**3/3 + 3*x**2 + 36*x. Determine u*b(f) + v(f).
f**2 + 2*f + 2
Let k(i) = -3*i**2 - 3*i - 4. Let a(s) = -7*s**2 - 7*s - 9. Determine -2*a(n) + 5*k(n).
-n**2 - n - 2
Let q(k) = 39*k + 4. Let h(s) = -116*s - 12. Determine -6*h(m) - 17*q(m).
33*m + 4
Let h(y) = -9*y**2 + 11*y - 6. Let v(n) be the third derivative of 0*n - 1/6*n**4 + 0 + 1/3*n**3 + 1/20*n**5 - 13*n**2. Give 4*h(r) + 11*v(r).
-3*r**2 - 2
Let n(q) = 8*q + 5. Let f(s) = -s - 1. Let j be -3 - (-18)/(-2 + -4). Give j*f(m) - n(m).
-2*m + 1
Let n(t) = 17*t + 7. Let s be (576/(-56))/(-8) + (-4)/14. Let o(f) = f + 1. Let p(c) = s*n(c) - 6*o(c). Let w(b) = 17*b + 2. Give -8*p(u) + 5*w(u).
-3*u + 2
Let j(y) = -10*y + 3. Let r(i) = -30*i + 8. Let s = 98 + -95. Calculate s*r(w) - 8*j(w).
-10*w
Let c(l) be the first derivative of 11*l**3/3 + l - 2. Let u(t) be the first derivative of -16*t**3/3 - t - 36. What is 7*c(s) + 5*u(s)?
-3*s**2 + 2
Let d(h) = -19*h + 5 + 54*h - 37*h + 0. Let s(f) = -3*f + 4. Give -5*d(n) + 4*s(n).
-2*n - 9
Let g(r) = 3*r - 20. Let o be g(6). Let i(c) = -7*c + 3. Let x = 2 + -2. Let j(w) = 3*w + x - 3 + 1 + 1. Determine o*i(l) - 5*j(l).
-l - 1
Let z(d) = d**3 - 2*d**2 + 1. Let t(s) = 432*s**2 - 216. What is -3*t(m) - 648*z(m)?
-648*m**3
Let m(p) be the first derivative of -3*p**2 + 2*p + 36. Let t(b) = 5*b - 1. Give -6*m(j) - 7*t(j).
j - 5
Suppose 9*t - 2*t = 35. Let a(q) = -8*q - 7. Let c(o) = -7*o - 6. Let v be -5*(1 + 3/15 + 0). Calculate t*a(w) + v*c(w).
2*w + 1
Let j(p) = -p**3 - p**2 - p + 1. Let v(a) = 7*a**3 - 4*a + 4*a**2 - 4 + 2*a + 4*a. Let c = 534 + -538. What is c*j(h) - v(h)?
-3*h**3 + 2*h
Suppose 6*h - 84 = 7*h. Let k = h - -86. Let f(z) = 4 + 3 - 3. Let o(g) = g + 1. Calculate k*o(y) - f(y).
2*y - 2
Let g(v) = 5*v + 6. Suppose 4 = -u + 2*p - 3, 5*u - 4*p = -65. Let f(m) = 14*m + 17. Give u*g(n) + 6*f(n).
-n
Let x(m) be the first derivative of -28*m**2 - 34*m - 44. Let a(p) be the third derivative of 5*p**4/24 + p**3/2 + 4*p**2. Determine 68*a(f) + 6*x(f).
4*f
Let g = -64 + 66. Let o(i) = 1026*i**3 - 4*i**2 - g*i - 1021*i**3 + 10*i**2 - 2. Let u(c) = c**3 + c**2. Determine -o(n) + 6*u(n).
n**3 + 2*n + 2
Let r(f) = f + 2. Let k(p) = -3*p - 19. Give -k(m) + 3*r(m).
6*m + 25
Let s(m) = 2*m**3 - 2*m**2 + 9*m + 12. Let a(l) = l**3 - l**2 + 4*l + 6. Give 5*a(o) - 2*s(o).
o**3 - o**2 + 2*o + 6
Let a(c) = -9 - c**2 + 3*c**2 + 7 - 3*c**2. Let x be 3*2*3/6. Let d(b) = -1. Give x*d(g) - 2*a(g).
2*g**2 + 1
Suppose -3*t - 1 = f, 5*t - 2*f = f + 3. Let j(r) = -6*r**2 + t + 0*r + 5*r + 11 + 5*r. Let l(m) = -m**2 + 2*m + 2. Give 2*j(b) - 11*l(b).
-b**2 - 2*b
Suppose 45 = -46*q + 51*q. Let j(b) = -4*b**3 + b + 2. Let y(o) = 17*o**3 + o**2 - 5*o - 9. Calculate q*j(t) + 2*y(t). | {
"pile_set_name": "DM Mathematics"
} |
u'th term of -3809, -3811, -3813, -3815, -3817?
-2*u - 3807
What is the j'th term of -148, -311, -474, -637?
-163*j + 15
What is the l'th term of -94, -365, -816, -1447, -2258, -3249, -4420?
-90*l**2 - l - 3
What is the a'th term of 38, 151, 340, 605, 946?
38*a**2 - a + 1
What is the q'th term of -101, -95, -89, -83, -77, -71?
6*q - 107
What is the w'th term of 72, 92, 148, 258, 440, 712, 1092?
3*w**3 - w + 70
What is the k'th term of -279, -283, -289, -297, -307, -319, -333?
-k**2 - k - 277
What is the t'th term of 45, 46, 47, 48, 49, 50?
t + 44
What is the h'th term of -38, -63, -86, -107, -126?
h**2 - 28*h - 11
What is the l'th term of 181, 728, 1633, 2890, 4493, 6436?
-l**3 + 185*l**2 - l - 2
What is the q'th term of 5, 17, 17, 5, -19?
-6*q**2 + 30*q - 19
What is the h'th term of -5, -29, -69, -125, -197, -285, -389?
-8*h**2 + 3
What is the b'th term of 49, 214, 487, 868, 1357, 1954?
54*b**2 + 3*b - 8
What is the a'th term of -194, -190, -184, -176?
a**2 + a - 196
What is the f'th term of -76, -148, -218, -286?
f**2 - 75*f - 2
What is the i'th term of -24, -82, -178, -312, -484?
-19*i**2 - i - 4
What is the g'th term of 175, 349, 523, 697, 871?
174*g + 1
What is the b'th term of 1205, 4831, 10875, 19337?
1209*b**2 - b - 3
What is the c'th term of 33, 31, 25, 15, 1, -17?
-2*c**2 + 4*c + 31
What is the z'th term of -109, -157, -205, -253, -301, -349?
-48*z - 61
What is the i'th term of 23567, 23566, 23565, 23564?
-i + 23568
What is the i'th term of -9, -16, -13, 6, 47, 116?
i**3 - i**2 - 11*i + 2
What is the c'th term of 51, 114, 193, 294, 423, 586, 789?
c**3 + 2*c**2 + 50*c - 2
What is the l'th term of 102, 185, 270, 357?
l**2 + 80*l + 21
What is the x'th term of 24, 52, 92, 144, 208, 284, 372?
6*x**2 + 10*x + 8
What is the a'th term of -141, -584, -1329, -2382, -3749, -5436, -7449, -9794?
-a**3 - 145*a**2 - a + 6
What is the f'th term of 1520, 1518, 1516, 1514?
-2*f + 1522
What is the b'th term of -4, -12, -28, -52?
-4*b**2 + 4*b - 4
What is the u'th term of 18, 35, 62, 105, 170?
u**3 - u**2 + 13*u + 5
What is the t'th term of 99, 80, 33, -54, -193, -396, -675?
-2*t**3 - 2*t**2 + t + 102
What is the t'th term of -1375, -1385, -1417, -1483, -1595, -1765?
-2*t**3 + t**2 + t - 1375
What is the o'th term of 13, 8, -9, -44, -103, -192?
-o**3 + 2*o + 12
What is the l'th term of -5, -16, -25, -32, -37?
l**2 - 14*l + 8
What is the t'th term of -667, -627, -555, -445, -291?
t**3 + 10*t**2 + 3*t - 681
What is the p'th term of -1155, -1162, -1173, -1188?
-2*p**2 - p - 1152
What is the w'th term of -622, -618, -612, -604, -594, -582, -568?
w**2 + w - 624
What is the y'th term of -32, -88, -230, -500, -940, -1592, -2498?
-7*y**3 - y**2 - 4*y - 20
What is the c'th term of -2104, -2114, -2130, -2152?
-3*c**2 - c - 2100
What is the v'th term of 202, 212, 222?
10*v + 192
What is the o'th term of -7, -7, -23, -61, -127, -227, -367?
-o**3 - 2*o**2 + 13*o - 17
What is the b'th term of -12081, -12079, -12077?
2*b - 12083
What is the t'th term of -577, -576, -575, -574?
t - 578
What is the y'th term of 21, 96, 223, 402, 633, 916?
26*y**2 - 3*y - 2
What is the n'th term of 16, 39, 60, 73, 72, 51, 4?
-n**3 + 5*n**2 + 15*n - 3
What is the n'th term of 61, 119, 177, 235?
58*n + 3
What is the a'th term of 25, 46, 63, 76, 85, 90?
-2*a**2 + 27*a
What is the r'th term of -2505, -2503, -2501?
2*r - 2507
What is the f'th term of -22, -33, -58, -103, -174, -277, -418?
-f**3 - f**2 - f - 19
What is the s'th term of 88, 220, 350, 478, 604?
-s**2 + 135*s - 46
What is the v'th term of -9, -30, -55, -78, -93, -94, -75?
v**3 - 8*v**2 - 4*v + 2
What is the c'th term of 70, 125, 162, 175, 158, 105?
-c**3 - 3*c**2 + 71*c + 3
What is the q'th term of -811, -820, -829?
-9*q - 802
What is the g'th term of -60, -62, -62, -60, -56?
g**2 - 5*g - 56
What is the u'th term of -14, 67, 304, 775, 1558, 2731, 4372, 6559?
13*u**3 - 10*u - 17
What is the t'th term of -822, -1639, -2454, -3267?
t**2 - 820*t - 3
What is the l'th term of 755, 2946, 6597, 11708, 18279, 26310?
730*l**2 + l + 24
What is the r'th term of -866, -1738, -2616, -3500, -4390?
-3*r**2 - 863*r
What is the y'th term of -10, -72, -182, -346, -570, -860?
-y**3 - 18*y**2 - y + 10
What is the i'th term of -21, -45, -69, -93?
-24*i + 3
What is the z'th term of -836, -838, -840, -842, -844, -846?
-2*z - 834
What is the z'th term of 22, 71, 152, 265, 410, 587, 796?
16*z**2 + z + 5
What is the r'th term of -6976, -6975, -6974?
r - 6977
What is the q'th term of 328, 330, 332, 334, 336, 338?
2*q + 326
What is the z'th term of 9, 22, 49, 96, 169, 274?
z**3 + z**2 + 3*z + 4
What is the d'th term of -27, -50, -89, -144, -215, -302?
-8*d**2 + d - 20
What is the t'th term of -19, -65, -111, -157?
-46*t + 27
What is the u'th term of 188, 197, 208, 221, 236?
u**2 + 6*u + 181
What is the y'th term of 151, 158, 169, 184, 203, 226, 253?
2*y**2 + y + 148
What is the l'th term of -142, -183, -262, -397, -606?
-3*l**3 - l**2 - 17*l - 121
What is the h'th term of -15, -8, -1, 6?
7*h - 22
What is the s'th term of -2, -40, -124, -272, -502, -832?
-3*s**3 - 5*s**2 - 2*s + 8
What is the u'th term of 16, 57, 124, 217, 336?
13*u**2 + 2*u + 1
What is the z'th term of 9, -21, -89, -195, -339, -521?
-19*z**2 + 27*z + 1
What is the z'th term of 10, 8, 6, 4, 2?
-2*z + 12
What is the v'th term of -17, -10, -3, 4, 11?
7*v - 24
What is the u'th term of -463, -925, -1385, -1843, -2299?
u**2 - 465*u + 1
What is the i'th term of -222, -839, -1874, -3333, -5222, -7547, -10314?
-i**3 - 203*i**2 - i - 17
What is the p'th term of -643, -634, -605, -544, -439, -278, -49, 260?
2*p**3 - 2*p**2 + p - 644
What is the v'th term of 51, 76, 101, 126, 151?
25*v + 26
What is the p'th term of 555, 540, 525, 510, 495, 480?
-15*p + 570
What is the r'th term of 68, 289, 658, 1175, 1840?
74*r**2 - r - 5
What is the j'th term of -1, -95, -341, -811, -1577, -2711, -4285, -6371?
-12*j**3 - 4*j**2 + 2*j + 13
What is the b'th term of -1299, -1311, -1337, -1383, -1455, -1559?
-b**3 - b**2 - 2*b - 1295
What is the a'th term of 2178, 2177, 2176, 2175, 2174?
-a + 2179
What is the t'th term of 4, 31, 76, 139, 220?
9*t**2 - 5
What is the a'th term of 84, 88, 92?
4*a + 80
What is the b'th term of -216, -256, -314, -384, -460, -536, -606?
b**3 - 15*b**2 - 2*b - 200
What is the l'th term of 2131, 4269, 6409, 8551, 10695, 12841?
l**2 + 2135*l - 5
What is the r'th term of 29, 75, 123, 173, 225?
r**2 + 43*r - 15
What is the t'th term of -813, -1664, -2525, -3402, -4301, -5228, -6189, -7190?
-t**3 + t**2 - 847*t + 34
What is the n'th term of -489, -488, -487, -486, -485?
n - 490
What is the d'th term of -21, -30, -51, -90, -153, -246?
-d**3 - 2*d - 18
What is the i'th term of 690, 691, 704, 735, 790, 875, 996, 1159?
i**3 - 6*i + 695
What is the l'th term of 23, 38, 53, 68?
15*l + 8
What is the w'th term of 273, 275, 277, 279, 281, 283?
2*w + 271
What is the v'th term of -1383, -2766, -4163, -5580, -7023, -8498, -10011, -11568?
-v**3 - v**2 - 1373*v - 8
What is the c'th term of 981, 983, 985, 987, 989, 991?
2*c + 979
What is the m'th term of -1241, -2482, -3723, -4964, -6205, -7446?
-1241*m
What is the f'th term of -277, -332, -387?
-55*f - 222
What is the t'th term of -23, -59, -93, -125, -155?
t**2 - 39*t + 15
What is the g'th term of 6, -16, -40, -66, -94, -124, -156?
-g**2 - 19*g + 26
What is the t'th term of -587, -1148, -1685, -2192, -2663?
t**3 + 6*t**2 - 586*t - 8
What is the n'th term of 133, 100, 55, -8, -95, -212, -365?
-n**3 - 26*n + 160
What is the u'th term of 165, 147, 127, 105, 81, 55?
-u**2 - 15*u + 181
What is the c'th term of 17, 70, 161, 290, 457, 662, 905?
19*c**2 - 4*c + 2
What is the v'th term of -15, -38, -77, -132, -203?
-8*v**2 + v - 8
What is the k'th term of -545, -1084, -1623, -2162, -2701, -3240?
-539*k - 6
What is the x'th term of -283, -587, -891?
-304*x + 21
What is the n'th term of -109, -216, -323, -430, -537?
-107*n - 2
What is the y'th term of -55, -105, -153, -199, -243, -285, -325?
y**2 - 53*y - 3
What is the i'th term of 1522, 3056, 4604, 6172, 7766, 9392, 11056?
i**3 + i**2 + 1524*i - 4
What is the m'th term of -37, -85, -147, -229, -337, -477, -655, -877?
-m**3 - m**2 - 38*m + 3
What is the x'th term of -29, -95, -209, -377, -605, -899?
-x**3 - 18*x**2 - 5* | {
"pile_set_name": "DM Mathematics"
} |
39.01186 rounded to one dp?
39
Round 1275393 to the nearest 1000.
1275000
Round -16862.86 to the nearest 1000.
-17000
What is 0.0053019422 rounded to 3 decimal places?
0.005
Round 0.0138347 to four dps.
0.0138
What is -0.0000000009759 rounded to seven dps?
0
Round 0.0002028813 to 5 dps.
0.0002
Round -5.558056 to one decimal place.
-5.6
Round 0.0015895966 to 5 decimal places.
0.00159
What is 8.74162 rounded to 1 dp?
8.7
Round 0.00006749189 to five dps.
0.00007
What is -28004500 rounded to the nearest one hundred thousand?
-28000000
Round 0.008475028 to 2 decimal places.
0.01
Round -0.0015888436 to 6 decimal places.
-0.001589
Round -21.246 to the nearest integer.
-21
What is 49677.7 rounded to the nearest ten thousand?
50000
What is -0.00006530299 rounded to 7 dps?
-0.0000653
What is 12334.809 rounded to the nearest one thousand?
12000
Round -154.74269 to two dps.
-154.74
Round -0.00598644 to four decimal places.
-0.006
Round 32243 to the nearest one hundred thousand.
0
Round 0.0032693607 to five dps.
0.00327
Round 67968.16 to the nearest 10.
67970
Round -0.0000054529756 to six decimal places.
-0.000005
Round -23.39053 to 2 dps.
-23.39
What is 0.000000680168 rounded to 6 decimal places?
0.000001
Round -44815500 to the nearest 1000000.
-45000000
Round -7555614 to the nearest 1000.
-7556000
What is 0.000026286866 rounded to 6 decimal places?
0.000026
What is -0.00000875088 rounded to 6 decimal places?
-0.000009
What is 0.6514138 rounded to two dps?
0.65
What is 0.000001574434 rounded to seven dps?
0.0000016
Round 150084240 to the nearest 100000.
150100000
Round 29.86754 to zero dps.
30
Round -11880000 to the nearest one million.
-12000000
What is -1.058104 rounded to three decimal places?
-1.058
Round -58676897 to the nearest one million.
-59000000
Round 17407240 to the nearest 100000.
17400000
What is 0.0598424 rounded to 3 decimal places?
0.06
Round -219.861 to the nearest ten.
-220
What is 131.118 rounded to the nearest integer?
131
Round 10.034001 to zero dps.
10
What is 244375.5 rounded to the nearest one thousand?
244000
What is -58087.6 rounded to the nearest one thousand?
-58000
What is 117601.9 rounded to the nearest one hundred?
117600
Round -1988.26 to the nearest one hundred.
-2000
What is -707468 rounded to the nearest 100000?
-700000
Round 273.103 to 0 decimal places.
273
Round 0.000002323566 to six decimal places.
0.000002
What is 1002412 rounded to the nearest one thousand?
1002000
Round -0.055749 to 4 dps.
-0.0557
What is 20208390 rounded to the nearest 1000000?
20000000
Round 2580.735 to the nearest 100.
2600
What is -17.580363 rounded to 3 decimal places?
-17.58
What is -0.7546936 rounded to 1 decimal place?
-0.8
Round 0.08912852 to three decimal places.
0.089
Round 0.000002531302 to six decimal places.
0.000003
Round 90.59638 to zero dps.
91
Round -128.03783 to the nearest ten.
-130
What is 0.013436353 rounded to six decimal places?
0.013436
What is 0.000205646 rounded to seven dps?
0.0002056
What is 0.1356 rounded to three dps?
0.136
What is 206715 rounded to the nearest ten thousand?
210000
Round 233530 to the nearest 100000.
200000
What is -20407.278 rounded to the nearest 1000?
-20000
What is 0.908505 rounded to 3 dps?
0.909
Round -0.6418834 to three decimal places.
-0.642
Round -1283626 to the nearest one hundred thousand.
-1300000
Round -0.0003486291 to six dps.
-0.000349
Round -0.000014565447 to 7 dps.
-0.0000146
Round 61523000 to the nearest one million.
62000000
Round -0.005940023 to five dps.
-0.00594
What is -442944.4 rounded to the nearest one hundred thousand?
-400000
Round 0.0017311233 to 6 dps.
0.001731
What is -3913943 rounded to the nearest 1000?
-3914000
What is -22.9018 rounded to the nearest ten?
-20
What is -4443348.6 rounded to the nearest ten thousand?
-4440000
Round -0.00001460673 to 6 dps.
-0.000015
Round -0.00103346939 to four decimal places.
-0.001
Round 1187980 to the nearest 10000.
1190000
What is -0.082440925 rounded to five dps?
-0.08244
What is -31094.942 rounded to the nearest 100?
-31100
Round -322.186 to the nearest one hundred.
-300
What is 0.1297328 rounded to 2 dps?
0.13
What is 77985.64 rounded to the nearest one hundred?
78000
What is -0.000009615735 rounded to seven dps?
-0.0000096
What is 0.0624125 rounded to 4 decimal places?
0.0624
What is 3832.44 rounded to the nearest one thousand?
4000
What is 1829300 rounded to the nearest 100000?
1800000
What is 4464425 rounded to the nearest 1000000?
4000000
Round -7602.851 to the nearest 1000.
-8000
What is 1061.1672 rounded to the nearest 100?
1100
Round -1179.393 to the nearest 100.
-1200
What is -0.00003070516 rounded to 7 decimal places?
-0.0000307
Round 0.00041601 to 4 decimal places.
0.0004
What is -493.8331 rounded to one decimal place?
-493.8
Round -304350.9 to the nearest 1000.
-304000
Round 0.000004821413 to 7 dps.
0.0000048
What is 0.3953933 rounded to 2 decimal places?
0.4
Round -0.224858 to 4 decimal places.
-0.2249
What is 0.24704538 rounded to 3 dps?
0.247
What is -0.05736819 rounded to 2 decimal places?
-0.06
Round 106.461 to one decimal place.
106.5
Round -0.0000017024822 to seven decimal places.
-0.0000017
What is -10535582000 rounded to the nearest 1000000?
-10536000000
What is 39432000 rounded to the nearest 1000000?
39000000
What is 0.0473904 rounded to three decimal places?
0.047
Round -0.00183348 to 4 decimal places.
-0.0018
What is -3.1468823 rounded to one dp?
-3.1
Round -0.0034527781 to 3 decimal places.
-0.003
Round -8.412217 to one decimal place.
-8.4
Round 0.00001214373 to six decimal places.
0.000012
What is -261793800 rounded to the nearest one million?
-262000000
What is 10316.448 rounded to the nearest one hundred?
10300
Round 214217920 to the nearest one hundred thousand.
214200000
Round 94014700 to the nearest 10000.
94010000
What is 0.000108669 rounded to 4 dps?
0.0001
Round -0.00000085763 to 6 decimal places.
-0.000001
Round 3658590 to the nearest one million.
4000000
What is 285880000 rounded to the nearest 1000000?
286000000
What is 0.005123006 rounded to four dps?
0.0051
Round 7829.02 to the nearest one hundred.
7800
Round -68.11232 to two decimal places.
-68.11
What is 1.49809 rounded to the nearest integer?
1
What is -27470.457 rounded to the nearest 1000?
-27000
Round -3376028000 to the nearest 1000000.
-3376000000
Round 0.01064858 to six dps.
0.010649
Round 990.6288 to the nearest 10.
990
What is 631499.5 rounded to the nearest 10000?
630000
Round 1379.1499 to the nearest integer.
1379
Round -668324700 to the nearest one million.
-668000000
What is -0.026716765 rounded to five decimal places?
-0.02672
Round 103.5158 to zero dps.
104
What is -467386.2 rounded to the nearest 10000?
-470000
What is 0.4198394 rounded to 1 dp?
0.4
Round 0.000624165 to six dps.
0.000624
What is 4013.8561 rounded to the nearest integer?
4014
Round 111.18351 to the nearest 10.
110
What is 0.00499543 rounded to 3 dps?
0.005
Round -576703 to the nearest 100000.
-600000
Round 486.643 to 0 decimal places.
487
Round -0.0000724061 to 5 dps.
-0.00007
What is 5428.649 rounded to the nearest one hundred?
5400
Round 4088791000 to the nearest 1000000.
4089000000
What is -41736.83 rounded to the nearest 10000?
-40000
What is 0.0000447195 rounded to 5 dps?
0.00004
What is 7264487000 rounded to the nearest one million?
7264000000
What is 18.846141 rounded to 2 decimal places?
18.85
What is 9780.66 rounded to the nearest 1000?
10000
What is -0.10943164 rounded to three dps?
-0.109
What is -2409.76 rounded to the nearest integer?
-2410
What is 1321.59 rounded to the nearest 10?
1320
What is -6.7390721 rounded to two dps?
-6.74
Round -8199517 to the nearest 100000.
-8200000
What is 0.0006971339 rounded to 6 decimal places?
0.000697
Round 5327.48 to the nearest one thousand.
5000
What is 587588100 rounded to the nearest 100000?
587600000
What is 1404610 rounded to the nearest 10000?
1400000
What is 0.00004437754 rounded to five decimal places?
0.00004
What is 0.001598151 rounded to 5 decimal places?
0.0016
What is 325.4915 rounded to one dp?
325.5
What is -72.688 rounded to the nearest one hundred?
-100
Round -0.001780813 to 6 dps.
-0.001781
What is 82.42095 rounded to the nearest ten?
80
What is -0.00000260193 rounded to 6 dps?
-0.00000 | {
"pile_set_name": "DM Mathematics"
} |
1?
17
Calculate the highest common factor of 37604 and 158.
158
What is the highest common factor of 165 and 11517?
33
Calculate the greatest common divisor of 66 and 6974.
22
Calculate the highest common factor of 198 and 86823.
99
Calculate the highest common factor of 432396 and 36.
36
What is the highest common factor of 2016 and 3150?
126
What is the highest common factor of 7480 and 10538?
22
What is the highest common divisor of 197328 and 96?
48
What is the highest common divisor of 879060 and 156?
156
Calculate the greatest common divisor of 30222 and 27.
9
Calculate the greatest common divisor of 1048 and 103490.
262
Calculate the highest common divisor of 23291447 and 31.
31
Calculate the highest common divisor of 30936 and 120.
24
Calculate the greatest common factor of 47360 and 25.
5
What is the greatest common divisor of 1028705 and 5?
5
What is the greatest common factor of 6906 and 12?
6
What is the highest common divisor of 820 and 25625?
205
What is the highest common divisor of 189106 and 23?
23
Calculate the greatest common factor of 4256 and 5985.
133
Calculate the highest common factor of 9265 and 3488.
109
Calculate the greatest common factor of 1456 and 494130.
182
Calculate the highest common factor of 87 and 486.
3
What is the greatest common divisor of 63 and 1045521?
9
What is the highest common divisor of 822231 and 135?
27
Calculate the greatest common divisor of 28 and 154.
14
Calculate the highest common divisor of 5464 and 68.
4
What is the greatest common factor of 28 and 522130?
14
What is the greatest common factor of 18 and 409746?
6
Calculate the highest common factor of 726 and 334202.
242
What is the greatest common factor of 2799 and 144?
9
What is the highest common divisor of 500346 and 126?
126
Calculate the highest common factor of 3937 and 5461.
127
What is the greatest common factor of 195 and 107640?
195
Calculate the greatest common divisor of 436 and 38.
2
What is the greatest common factor of 5304 and 145197?
663
What is the highest common divisor of 109120 and 155?
155
Calculate the greatest common factor of 3752 and 39872.
56
What is the greatest common factor of 58 and 1068911?
29
What is the highest common factor of 76342 and 328?
82
What is the greatest common divisor of 513386 and 1070?
214
Calculate the greatest common divisor of 1323 and 1617.
147
Calculate the highest common factor of 4111 and 8.
1
What is the greatest common divisor of 23505 and 1320?
15
Calculate the highest common factor of 15138 and 3456.
18
Calculate the greatest common divisor of 41058 and 27.
9
Calculate the greatest common divisor of 1637 and 96583.
1637
What is the highest common factor of 180 and 374886?
18
What is the highest common factor of 13842 and 162?
18
Calculate the greatest common divisor of 544 and 234464.
544
Calculate the greatest common divisor of 354 and 78116.
118
What is the greatest common factor of 1815 and 171215?
605
What is the highest common divisor of 13507 and 72?
1
Calculate the highest common divisor of 70692 and 9.
3
What is the highest common divisor of 25350 and 523575?
975
Calculate the greatest common factor of 174230 and 22610.
1330
What is the highest common divisor of 4672 and 2263?
73
Calculate the greatest common divisor of 18431 and 1.
1
What is the highest common divisor of 5576 and 22100?
68
Calculate the greatest common factor of 1173 and 1326.
51
What is the greatest common divisor of 102483 and 177?
177
What is the greatest common factor of 8988 and 113634?
642
What is the greatest common factor of 10206 and 86427?
81
What is the highest common factor of 130 and 10963745?
65
Calculate the highest common factor of 130 and 47290.
10
Calculate the greatest common factor of 16191219 and 11.
11
Calculate the greatest common factor of 386194 and 38.
38
Calculate the highest common factor of 4225 and 32617.
169
What is the greatest common divisor of 1019223 and 324?
81
What is the highest common factor of 157650 and 325?
25
Calculate the greatest common factor of 2684 and 232276.
44
Calculate the highest common divisor of 656028 and 45.
9
Calculate the greatest common divisor of 117960 and 480.
120
What is the highest common divisor of 2061 and 2223?
9
Calculate the highest common divisor of 2124 and 16756.
236
Calculate the highest common divisor of 1238174 and 826.
826
What is the greatest common divisor of 465 and 210?
15
Calculate the highest common factor of 4584 and 18.
6
Calculate the greatest common divisor of 1991 and 44495.
11
What is the highest common divisor of 9380 and 198320?
1340
What is the highest common factor of 1648 and 155118?
206
Calculate the greatest common factor of 283 and 701.
1
What is the greatest common factor of 19533 and 5321?
17
Calculate the greatest common divisor of 2088 and 8616.
24
Calculate the highest common divisor of 726 and 473957.
121
What is the highest common factor of 3048948 and 518?
518
What is the highest common factor of 92703 and 663?
39
Calculate the greatest common factor of 114 and 8842.
2
Calculate the highest common divisor of 15 and 5988.
3
Calculate the highest common factor of 17545 and 66066.
121
Calculate the highest common factor of 21 and 23156.
7
What is the highest common divisor of 25 and 3332575?
25
Calculate the greatest common factor of 32 and 86896.
16
What is the highest common divisor of 440 and 1010?
10
What is the greatest common divisor of 27144 and 297453?
1131
Calculate the greatest common factor of 3570790 and 20.
10
Calculate the highest common divisor of 1365252 and 21.
21
What is the greatest common factor of 3186 and 4130?
118
Calculate the highest common divisor of 250 and 2410.
10
Calculate the greatest common factor of 96390 and 4080.
510
Calculate the greatest common divisor of 237825 and 14496.
453
Calculate the greatest common factor of 111 and 2815441.
37
What is the highest common divisor of 308 and 6524?
28
Calculate the highest common factor of 26617 and 516.
43
Calculate the highest common divisor of 374490 and 1425.
285
Calculate the greatest common divisor of 3940 and 4076915.
985
Calculate the greatest common divisor of 891 and 451.
11
What is the highest common factor of 462 and 1199?
11
Calculate the greatest common factor of 2229280 and 520.
40
Calculate the highest common divisor of 134580 and 960.
60
Calculate the greatest common divisor of 12 and 582801.
3
Calculate the greatest common divisor of 229672 and 760.
152
Calculate the highest common divisor of 229 and 115187.
229
What is the highest common divisor of 15974 and 4312?
98
Calculate the highest common divisor of 11 and 963347.
11
Calculate the highest common factor of 91191 and 3228.
807
What is the greatest common divisor of 30 and 2010070?
10
Calculate the greatest common factor of 97 and 126779.
97
Calculate the highest common factor of 40 and 86800.
40
What is the highest common factor of 348 and 20677?
29
Calculate the greatest common factor of 2676 and 12.
12
What is the greatest common divisor of 208 and 47024?
16
Calculate the highest common factor of 66300 and 1200.
300
Calculate the greatest common divisor of 4060 and 12145.
35
Calculate the highest common factor of 94 and 428734.
94
What is the greatest common factor of 299003 and 19?
19
What is the greatest common factor of 109715 and 20?
5
Calculate the greatest common divisor of 85725 and 1275.
75
Calculate the highest common divisor of 33509 and 21.
7
What is the highest common factor of 183008 and 516?
172
Calculate the highest common divisor of 111807 and 2952.
369
What is the highest common factor of 648 and 24984?
72
Calculate the greatest common factor of 253330 and 27401.
517
What is the highest common factor of 892555 and 5212?
1303
What is the greatest common divisor of 87 and 603171?
87
What is the greatest common divisor of 638 and 28512?
22
What is the highest common factor of 525 and 140775?
75
Calculate the greatest common divisor of 2240 and 4130.
70
What is the highest common divisor of 60 and 357810?
30
What is the highest common factor of 875 and 1277675?
175
Calculate the highest common divisor of 39637 and 65.
13
What is the greatest common divisor of 54636 and 21?
3
What is the greatest common divisor of 66 and 58564?
22
C | {
"pile_set_name": "DM Mathematics"
} |
ive of 0*g + 0*g**3 + 0 + 0*g**5 - 1/105*g**7 + 0*g**6 - 1/8*g**4 - g**2. Find the second derivative of n(j) wrt j.
-24*j**2
Let b(g) = g**4 + g**3 + g - 8. Let r(d) = -2*d - 2*d**3 + 12*d**3 + d - 11*d**3 - 1. Let i(y) = -b(y) - r(y). Differentiate i(c) with respect to c.
-4*c**3
Let u(o) be the second derivative of -5*o**4/3 + 7*o**3/3 - 17*o. What is the second derivative of u(c) wrt c?
-40
Let t(a) be the third derivative of -a**9/504 - a**5/60 + 5*a**2. Find the third derivative of t(h) wrt h.
-120*h**3
Suppose 1 = -5*d + 6. What is the third derivative of -5*u**2 + 9 - d + u**5 - 8 wrt u?
60*u**2
Let q(a) = -93*a**2 - 26*a. Let s(t) = 139*t**2 + 39*t. Let d(v) = 7*q(v) + 5*s(v). Find the second derivative of d(n) wrt n.
88
Suppose -5*w + 3*w + 13 = 5*t, 2*t = 5*w - 18. What is the first derivative of -1 - 2*d**w - 2 - d**4 wrt d?
-12*d**3
Let l be (-38)/5 - (-4)/(-10). Let z = 13 + l. What is the third derivative of 6*f**2 - 2*f**2 + 0*f**5 - 3*f**z + 4*f**5 wrt f?
60*f**2
Let v(n) = -n**2 - 4*n - 1. Let y be v(-2). Let q(w) be the second derivative of 1/6*w**y + 0 + 3*w + 3/2*w**2. Differentiate q(f) with respect to f.
1
Let u(v) be the third derivative of v**9/72 + v**5/20 - 5*v**2. Find the third derivative of u(c) wrt c.
840*c**3
Suppose -5*y + 2*y = -12. Find the second derivative of x**2 - y*x + x + 4*x wrt x.
2
Suppose 0 = 6*k - 13*k + 28. Let x(p) be the third derivative of 1/6*p**k + 4*p**2 + 0*p + 0 + 1/3*p**3. Find the first derivative of x(i) wrt i.
4
Let b(f) be the second derivative of f**6/24 + f**4/24 + 3*f**2/2 + 4*f. Let h(m) be the first derivative of b(m). What is the second derivative of h(r) wrt r?
30*r
Let h = 18 + -15. Find the third derivative of 2*q**2 - 2*q**2 + 4*q**h + 0*q**2 + q**2 wrt q.
24
Let s(j) be the first derivative of 0*j**6 + 0*j**4 + 3 + 0*j + 0*j**5 - 1/3*j**3 + 0*j**2 + 1/7*j**7. What is the third derivative of s(p) wrt p?
120*p**3
Find the first derivative of -1 - 14*v**4 - 2 + 8 wrt v.
-56*v**3
Let h(y) = 32*y**3 - 11*y - 32. Let r(o) = 11*o**3 - 4*o - 11. Let c(b) = 4*h(b) - 11*r(b). What is the derivative of c(g) wrt g?
21*g**2
Let n be 13/12 - (0 - -1). Let v(w) be the third derivative of 0*w + w**2 + n*w**4 + 1/6*w**3 + 0. What is the derivative of v(s) wrt s?
2
Let z = -12 - -17. Find the second derivative of 0*j + j**z - 3*j + 3*j**5 + 6*j wrt j.
80*j**3
Let s = 14 - 12. Suppose 4*g - g - b - 14 = 0, 4*b = -5*g + 29. What is the second derivative of s*j**g + 0*j**5 - j**5 - 2*j wrt j?
20*j**3
Let v(y) = 15*y + 14. Let m(d) = 14*d + 15. Let b(a) = -4*m(a) + 3*v(a). Differentiate b(z) with respect to z.
-11
Let r(h) = -h**4 + 3. Let w(m) = -m**4 + 1. Let b(p) = -p - 6. Let n be b(-8). Let t(d) = n*w(d) - r(d). Find the first derivative of t(g) wrt g.
-4*g**3
Let w(k) = k**2 - 8*k + 9. Let l(z) = 6*z**2 + 1. Let a be l(1). Let v be w(a). What is the first derivative of -1 - 2 + v + 2*t wrt t?
2
What is the first derivative of -15 - 5*r - 10*r + 12*r wrt r?
-3
Differentiate 7*f**4 - 5*f**2 + 0*f**4 + 5*f**2 + 13 with respect to f.
28*f**3
Suppose r = 2*l + 2, -l - 1 = 2*r - r. Let y(z) = -2*z - 2. Let t(p) = -p - 1. Let f(i) = l*y(i) - 5*t(i). Differentiate f(u) wrt u.
7
Let w be 11/4 - 6/(-24). Find the first derivative of -4 + 4*k**3 - k**3 + w wrt k.
9*k**2
Let f(v) = 20*v**2 - v + 4. Let c(b) = 19*b**2 + 5. Let p(t) = -4*c(t) + 5*f(t). What is the second derivative of p(l) wrt l?
48
What is the second derivative of 12*c + 0*c - 332*c**2 + 349*c**2 wrt c?
34
Let q(o) be the second derivative of o**8/2 + o**4/3 - 18*o. Find the third derivative of q(j) wrt j.
3360*j**3
Let w(z) = 10*z**5 - 4*z**2 - 25*z. Let q(h) = h**5 - h**2 + h. Let o(c) = 4*q(c) - w(c). Find the second derivative of o(m) wrt m.
-120*m**3
Let c(w) = 20*w**2 + 51. Let a(z) = 10*z**2 + 25. Let u(g) = -5*a(g) + 2*c(g). What is the derivative of u(s) wrt s?
-20*s
Let h(l) be the first derivative of l**5/120 + l**4/12 + l**3 - 3. Let f(g) be the third derivative of h(g). Find the first derivative of f(q) wrt q.
1
Suppose 15 = 3*a - 0*a. What is the derivative of 3*t**3 + 1 - 2*t**3 + a wrt t?
3*t**2
Let u(t) be the third derivative of t**9/432 - t**5/120 + t**3/6 - t**2. Let g(l) be the first derivative of u(l). Find the second derivative of g(f) wrt f.
140*f**3
Let g(y) = -4*y - 2. Let k(c) = 3*c + 2*c - 6*c - 7 - 10*c. Let s(x) = -8*g(x) + 3*k(x). What is the derivative of s(f) wrt f?
-1
Let v be ((-5)/(-4))/((-1)/(-4)). What is the second derivative of -m**5 - m**5 + v*m**5 - 2*m wrt m?
60*m**3
Let c = 6 + -6. What is the second derivative of 2*s**3 + c*s**3 + s + 4*s**3 - 4*s**3 wrt s?
12*s
Let d(x) be the third derivative of 0*x**6 + 0*x**4 - 2/105*x**7 + x**2 + 1/15*x**5 + 0*x + 0*x**3 + 0. What is the third derivative of d(f) wrt f?
-96*f
Let t(l) be the third derivative of 43*l**8/336 - 3*l**4/8 + 51*l**2. Find the second derivative of t(i) wrt i.
860*i**3
What is the first derivative of -1 + 0*m**4 - 4*m**4 + m**4 - 2*m**4 wrt m?
-20*m**3
Let l = -1 + 4. What is the derivative of -l - 1 - 3*f + 5 wrt f?
-3
Suppose 5*a = a + 2*r, -2*a + 16 = 3*r. What is the first derivative of 91*v**2 - 97*v**2 - 1 - a wrt v?
-12*v
Let w(g) be the first derivative of -11*g**3/3 + 18*g + 8. What is the first derivative of w(y) wrt y?
-22*y
Let i(c) be the first derivative of 0*c + 0*c**3 - c**4 + 3/2*c**2 - 4. Find the second derivative of i(g) wrt g.
-24*g
Let x(t) be the third derivative of 17*t**4/24 - 8*t**3/3 - 2*t**2. Differentiate x(i) with respect to i.
17
Find the second derivative of -6*x + 6*x**5 + 0*x + 4*x wrt x.
120*x**3
Find the first derivative of 3*q**3 + 12 + 7*q**3 - 2*q**3 - q**3 wrt q.
21*q**2
Let h(k) = -k**2 - 13*k + 15. Let v(z) = 4*z - 5. Let w(g) = 2*h(g) + 7*v(g). Let i(n) be the first derivative of w(n). Differentiate i(p) wrt p.
-4
Let k be (1 - 0)/(1/2). Suppose 0*s + 4 = -2*n + 4*s, 16 = 2*n + s. What is the third derivative of -2 + k + z**n + z**2 wrt z?
120*z**3
What is the third derivative of 3*j**2 - 4*j**3 - 13*j**3 - 3*j**2 - 13*j**2 wrt j?
-102
Let o(b) be the second derivative of 7*b**4/12 - 5*b**2/2 - 2*b. What is the first derivative of o(l) wrt l?
14*l
Let y(d) be the second derivative of -d**6/6 - d**3 - d. Find the second derivative of y(k) wrt k.
-60*k**2
Suppose 5*k + r - 12 = 2*r, -5*r + 21 = 2*k. Let n be 6/(1 + -13) + (-7)/(-2). Differentiate -2*a**n + 2*a**3 + 2 + 5*a**3 - 3*a**k wrt a.
6*a**2
Let a(x) be the second derivative of x**7/210 - x**5/20 + x**3 + 3*x. Let s(y) be the second derivative of a(y). What is the second derivative of s(r) wrt r?
24*r
Let i(n) be the third derivative of 3*n**5/20 - 5*n**4/24 + 5*n**2. Find the second derivative of i(r) wrt r.
18
Let y be 2 + -1 - (0 - -1). Suppose y = -5*u + u + 8. Find the third derivative of 0*x**2 + 0*x**u - x**4 - x**2 wrt x.
-24*x
Let h(x) be the first derivative of 7*x**5/5 + 35*x**2/2 - 2*x - 31. Find the second derivative of h(y) wrt y.
84*y**2
Let x(t) = 10*t**4 + 6*t**3 + 5*t - 6. Let g(d) = -11*d**4 - 7*d**3 - 6*d + 7. Let y(o) = 6*g(o) + 7*x(o). Find the second derivative of y(k) wrt k.
48*k**2
Let g(b) be the second derivative of -b**9/1512 - b**6/180 + b**3/2 - b. Let j(m) be the second derivative of g(m). Find the third derivative of j(u) wrt u.
-120*u**2
Suppose -3*t + 2*s + 0 = 12, 5*s - 25 = 5*t. Let w = t + 4. Differentiate -5*v**2 + 8*v**2 + 1 + w wrt v.
6*v
Let f(q) = -3*q**2 + 7*q - 5. Let m(h) = 3*h**2 - 8*h + 6. Let r(l) = -6*f(l) - 5*m(l). Find the second derivative of r(c) wrt c.
6
Let a(v) = 19*v**3 + 3*v - 1. Let f(z) = 38*z**3 + z**2 + 5*z - 1. Let c(k) = 10*a(k) - 6*f(k). What is the third derivative of c(m) wrt m?
-228
Let y be (1/(-1))/(2/(-126)). What is the third derivative of y*t**5 - 59*t**5 + t**2 - 2*t**2 wrt t?
240*t**2
Let g(m) be the first derivative of -m**6 - 17*m**3/3 - 8. Find the third derivative of g(w) wrt w.
-360*w**2
Let v be 2*2/(-8)*-8. Find the third derivative of 2*f**4 + f**4 - 3*f**5 + f**2 - 3*f**v wrt f.
-180*f**2
Let b(f) be the first derivative of -f**7/14 - f**3/3 + f + 1. Let m(t) be the first derivative of b(t). What is the second derivative of m(s) wrt s?
-60*s**3
Let n(f) be the second derivative of -f**4 + 7*f**2/2 - f. Find the first derivative of n(b) wrt b.
-2 | {
"pile_set_name": "DM Mathematics"
} |
er: -1 or -9/45245?
-1
Which is bigger: 0.2744 or 36?
36
Is 3019.9 > -0.2?
True
Are 1 and -2/16541205 nonequal?
True
Is -7171 equal to -7144?
False
Are 265687 and 265690 nonequal?
True
Which is bigger: 439092 or 439094?
439094
Is 467419 <= 467423?
True
Which is smaller: 34131 or 34130?
34130
Which is smaller: -2/3 or 3/65405?
-2/3
Is 0.2 > 1.710698?
False
Do -2208 and -81645/37 have different values?
True
Is -119/8875 >= 0.3?
False
Are -1 and -35/5363 equal?
False
Is 1 greater than 2/484849?
True
Which is smaller: 8673 or 8745?
8673
Is -1151 greater than -12666/11?
True
Are -7 and 7522 unequal?
True
Is -25247/3 smaller than -8415?
True
Is -811156 at least as big as 2?
False
Which is smaller: -1 or 1/8706382?
-1
Which is smaller: -2931989/4 or -732998?
-732998
Is 192387 < 192388?
True
Which is bigger: 47/6 or -1/183?
47/6
Which is bigger: -1619549 or -1619550?
-1619549
Which is smaller: 68620 or 68627?
68620
Is 2/2946923 < -1?
False
Is 2416 != -3?
True
Is 493 <= 680?
True
Which is smaller: -58981 or -58978?
-58981
Which is greater: 0 or -4/248327?
0
Is 284835 less than or equal to 1993844/7?
False
Is 4331 <= 548?
False
Are -250/28369 and 0 nonequal?
True
Does 0 = -5/4862377?
False
Do -3 and -447/137 have different values?
True
Which is greater: -5828 or -5759?
-5759
Is 31721 at least as big as 31722?
False
Is 2825 greater than or equal to 2896?
False
Is -24 equal to -76?
False
Which is bigger: -11980/41 or -293?
-11980/41
Which is greater: -5922 or -57?
-57
Do -2829 and -99 have the same value?
False
Which is smaller: -53 or -12422/235?
-53
Is 43513 less than 43503?
False
Is -150660/97 smaller than -1552?
True
Which is bigger: 7692 or 7679?
7692
Is 297859/3 != 99285?
True
Which is greater: 1.08 or 0.119?
1.08
Which is smaller: 11944 or 0.136?
0.136
Is 13535 less than or equal to 13499?
False
Which is bigger: 62182 or 62157?
62182
Which is smaller: -1 or 18/89731?
-1
Which is bigger: 119364 or 119363?
119364
Is 802054 smaller than 802055?
True
Which is smaller: -281 or -240?
-281
Which is bigger: -44/729 or 1?
1
Do 2/7 and 54018 have the same value?
False
Which is smaller: -5259/47 or -112?
-112
Which is bigger: 19023 or -3/4?
19023
Which is bigger: -511702 or 1?
1
Is 718441 < 718439?
False
Is 6523 less than or equal to 6543?
True
Which is smaller: -1/26 or -655/13?
-655/13
Are 1311 and 1466 equal?
False
Which is smaller: 0 or 11/5089?
0
Which is smaller: 1/13 or 3/102871?
3/102871
Is 2583 less than or equal to 2579?
False
Is 62/43 > -137?
True
Is -1 greater than 235/1826?
False
Is 4 bigger than -385/24?
True
Which is greater: 175425 or 175421?
175425
Which is bigger: 8.7 or 929/98?
929/98
Does -848598 = -848599?
False
Which is greater: 1/1802276 or -1/2?
1/1802276
Are -625436 and -625436 equal?
True
Is 22052 greater than 22053?
False
Which is bigger: 5/2 or -4298?
5/2
Which is smaller: -1/62 or -4649?
-4649
Is 1 greater than or equal to 2/2116051?
True
Is 1875/107 greater than 18?
False
Is -948/73 < -12?
True
Is -2 != -141/55?
True
Which is bigger: -11059 or -11055?
-11055
Which is bigger: -37745 or -37746?
-37745
Is -307 less than or equal to -72?
True
Is 0 bigger than -103/31737?
True
Which is smaller: -7598/9 or -845?
-845
Which is smaller: -82 or 3924?
-82
Is -66358/13 at least as big as -5103?
False
Which is smaller: -1/2 or -534/35?
-534/35
Is 0.2634 less than or equal to -6?
False
Is -467179 smaller than -467178?
True
Which is smaller: 6.5151 or 5?
5
Is -1283 greater than -1286?
True
Which is smaller: 0.1225 or 94?
0.1225
Is -0.2 bigger than 10943/27?
False
Is 144 smaller than 10786?
True
Are 1/25 and 0.4115 unequal?
True
Which is greater: 0 or -26/989?
0
Is 0 at least as big as 1/480?
False
Which is bigger: -3 or -47974?
-3
Which is greater: 16077 or 11?
16077
Is -7.7 >= -22/481?
False
Does -2 = 1990.3?
False
Which is smaller: -112220/7 or -16032?
-16032
Is -46.88 smaller than 0?
True
Is -260 < 26?
True
Which is smaller: 1436/67 or 6?
6
Are 8 and 1/69201 nonequal?
True
Is 69105 less than or equal to 69103?
False
Are -2202 and -2200 nonequal?
True
Are -129198 and -129198 non-equal?
False
Is -4431 not equal to -4430?
True
Is 91658/15 at least as big as 6110?
True
Which is smaller: 80 or 104?
80
Is 4281/2 less than 2141?
True
Which is greater: 10 or 26/9751?
10
Which is smaller: -108264 or -108266?
-108266
Is -26860/13 equal to -2066?
False
Does 1193/10 = -48?
False
Which is bigger: -3/4 or 6358?
6358
Is -2/723787 >= -1?
True
Which is smaller: -19029 or -133200/7?
-19029
Is -7/2 bigger than 0.073483?
False
Which is smaller: -0.4 or 0.2874?
-0.4
Is 2924/5 at least as big as 585?
False
Which is smaller: -179318 or -179319?
-179319
Is -6116 >= -6117?
True
Which is greater: 1 or -3/162100?
1
Are -76 and 64027 nonequal?
True
Which is bigger: 638 or 654?
654
Is 3/20 at most as big as 38138?
True
Are -307 and -279 nonequal?
True
Which is greater: -1/171 or -169?
-1/171
Which is bigger: -2/186733 or 0?
0
Which is bigger: -25330 or -25335?
-25330
Which is bigger: 1976304/7 or 282328?
1976304/7
Do -80/10903 and 1 have the same value?
False
Which is greater: 113/291 or 1?
1
Is -1/796693 at most as big as -1?
False
Is 2110805 at least 2110805?
True
Is -43 >= -1414/33?
False
Which is smaller: 407210 or 0.1?
0.1
Is 97117 smaller than 97120?
True
Which is smaller: -1656 or -1579?
-1656
Which is bigger: 2 or 713/225?
713/225
Are -10/843187 and 1 non-equal?
True
Which is bigger: -447087 or -447091?
-447087
Is -42382 bigger than -42393?
True
Do -389861 and 1/2 have the same value?
False
Are 28 and 2275 unequal?
True
Which is greater: -14865/8 or -1859?
-14865/8
Is -2656 at most as big as -347?
True
Is -15439 bigger than 26?
False
Is 11122 less than or equal to 11207?
True
Is 119702/9 bigger than -1?
True
Are 2.6 and -3724 nonequal?
True
Is -6/943855 < 0?
True
Are -7389 and 0.8 non-equal?
True
Is -1 >= -3583?
True
Is -23 at least as big as -862/37?
True
Which is smaller: 1/79804 or 0?
0
Which is smaller: 1933 or 1887?
1887
Which is smaller: 57644 or -2/41?
-2/41
Which is bigger: 882 or 993?
993
Which is bigger: -173 or -18554/107?
-173
Is -59251/6 greater than -9876?
True
Which is bigger: 1 or 4/63461?
1
Which is bigger: -0.197 or 53?
53
Which is greater: -52/1847 or 0?
0
Is 79 >= -10/5951?
True
Which is greater: 16649 or 16490?
16649
Which is smaller: 547 or 151?
151
Which is smaller: -9629 or -9641?
-9641
Is 30.59 greater than -0.53?
True
Is 24 bigger than 17984/707?
False
Which is bigger: -15265950 or -15265949?
-15265949
Does 891 = -4776?
False
Is 0 greater than -15/526087?
True
Which is smaller: -49 or 38774?
-49
Do -56997 and -56997 have the same value?
True
Is -68084 at most as big as -68084?
True
Which is smaller: 242 or -4662?
-4662
Which is smaller: -198/28859 or 0?
-198/28859
Is 2 at least 16380/11?
False
Which is bigger: -8093 or -23?
-23
Which is smaller: -1 or -6/637063?
-1
Which is smaller: 1 or 189/15044?
189/15044
Which is smaller: -373 or -2555?
-2555
Do 7082978 and 7082978 have the same value?
True
Is -2/3 less than or equal to 176542?
True
Is -1 equal to 5/39099?
False
Is 51/8 >= -58?
True
Which is bigger: 15544 or 15573?
15573
Is 27902 greater than or equal to -0.3?
True
Which is smaller: -2/5 or -4.482?
-4.482
Are 2392 and -2/107 equal?
False
Which is smaller: -2/43 or -7532?
-7532
Do 601 and -127 have different values?
True
Which is bigger: 37244/17 or 2192?
2192
Is 704 < 23957/34?
True
Is -290/1241 < -1?
False
Is -52426 greater than -52423?
False
Which is smaller: 2561 or 2538?
2538
Is -1 greater than or equal to 2/16841?
False
Which is greater: -36224 or -36223?
-36223
Is 18750 < 10?
False
Which is smaller: -43825 or -43826?
-43826
Which is bigger: 36649 or 36648?
36649
Which is smaller: 4 or -307.19?
-307.19
Is 0 not equal to 3/852653?
True
Are -2/15181373 and 1 equal?
False
Is 3894 smaller than -1?
False
Is -10807 > -10814?
True
Which is smaller: 79 or 2955/38?
2955/38
Is -42/53 <= -79?
False
Which is greater: 4311 or 4289?
4311
Do 428233 and 428234 have different values?
True
Is -30 greater than or equal to 0.3337?
False
Which is smaller: -35/3569 or -1?
-1
Are -1440516 and -1440516 unequal?
False
Is -5 greater than or equal to 27493?
False
Is -27 <= -2152/77?
False
Is 618837 at least 618838?
False
Is -1610 at most as big as | {
"pile_set_name": "DM Mathematics"
} |
6*d = z. Suppose -18 = -p - d. What is the tens digit of p?
1
Let w(t) be the third derivative of t**4/4 - 13*t**3/6 - 12*t**2. What is the tens digit of w(8)?
3
Suppose 6 = -3*k, -4*t - 2146 = -8*t - 3*k. What is the hundreds digit of t?
5
Suppose -549 + 32 = -c. What is the units digit of c?
7
Suppose l = 5*z + 3*l + 286, 3*z = 4*l - 156. Let a = 191 + z. What is the tens digit of a?
3
Let l(r) = -16*r. Let y be l(-1). Suppose 9*j = j - 64. Let m = j + y. What is the units digit of m?
8
Let s(z) = -z**2 - 12*z - 7. Suppose -3*x = -4*g - 8 + 30, -g - 32 = 3*x. What is the tens digit of s(x)?
1
Let f(c) = c**3 - 6*c**2 - 8*c - 3. Let u be f(8). Suppose -3*l + u = -125. What is the tens digit of l?
6
Let t(j) be the first derivative of 6*j**3 + 5*j**2/2 + 6*j - 9. What is the tens digit of t(-2)?
6
Let w(m) = m**3 - 3*m**2 - 7*m + 6. Let p be w(5). Let g = 7 - 7. Suppose g = -i + p + 2. What is the units digit of i?
3
Let o(r) = r**2 + 9*r - 4. Let l be o(7). Let d = 12 + -47. Let m = d + l. What is the tens digit of m?
7
Let n be (-208)/(-2) - (0 + -2). Suppose 174 = -5*i + r + 2*r, -r + n = -3*i. What is the units digit of (i/10)/((-42)/105)?
9
Let x(y) = -31*y - 483. What is the tens digit of x(-56)?
5
Let q(s) = -37*s**3 + 3*s**2 - 4*s - 5. What is the units digit of q(-2)?
1
What is the units digit of ((2810/5)/2)/(4 + -3)?
1
Let z(k) = 24*k**3 + 3*k**2 + 4*k - 27. What is the units digit of z(6)?
9
Let b = -13 + 428. What is the units digit of b?
5
Let x = -87 - -113. Suppose -15*z + x*z = 627. What is the units digit of z?
7
Let h = -565 + 1556. What is the hundreds digit of h?
9
What is the units digit of (-1)/((-9128)/(-3044) + -3)?
1
Let y = -66 - -34. Let k(q) = 11*q - 2. Let v be k(5). Let d = y + v. What is the tens digit of d?
2
Let f be 4/((6/33)/1). Let o be (6 + -7)/((-2)/f). Suppose m - 14 = -3*b, m = 2*m + 2*b - o. What is the units digit of m?
5
Let n(p) = 3 - 3*p - 7 + 2*p - 4. Let x be n(-10). Suppose x*t - 4*t + 58 = 0. What is the tens digit of t?
2
Let a = -800 - -1064. What is the hundreds digit of a?
2
Suppose -10*z + 2*z - 32 = 0. Let v be (-324)/45*10/z. What is the tens digit of 221/7 + v/42?
3
Let j = -16 - -17. Suppose 3*k - j = -7. What is the units digit of ((-16)/3)/(k/3)?
8
Let y(a) = -a**2 - 7*a - 7. Suppose -30 = 5*z - 5. Let x be y(z). Suppose x*n + n - 92 = 0. What is the units digit of n?
3
Let i be (-11)/3 + 4/6. Let c be -2 + 12/4 + i. What is the tens digit of c*(-57)/(-12)*-4?
3
Suppose -5 = 5*o, -5*o = 5*c - 0*o + 50. What is the tens digit of c/1*6/(-18) + 55?
5
Suppose -5*s + 2*a + a + 398 = 0, -s + 80 = -a. Let h = 133 - s. What is the tens digit of h?
5
Let g = 4678 + -1976. What is the tens digit of g?
0
Let h(v) be the third derivative of -v**6/120 + v**5/15 + v**4/12 - v**3 - v**2. Let f be h(5). Let b = 6 - f. What is the tens digit of b?
2
Let g(b) = -16*b - 49. Let z be g(-14). Suppose 9*k - 4*k - 289 = 4*q, -4*q = -3*k + z. What is the tens digit of k?
5
What is the tens digit of -2 + 93 + -7 + 5?
8
Let o = 134 - 60. Let c = o - -26. What is the tens digit of c?
0
Suppose -j = -3*u + 3838, -4*u - 1900 = -4*j - 7012. What is the tens digit of u?
8
What is the tens digit of 2*-26*(147/(-12) + 3)?
8
Let c(n) = 0*n + 2 - 4*n + n. Let z be (0 + -9)/((-9)/(-6)). What is the tens digit of c(z)?
2
Suppose 0 = 3*u - 21 - 213. Let v = 151 - u. What is the tens digit of v?
7
Let o(r) = -r**3 - 7*r**2 + r + 3. Let h be o(-7). Let c(x) = 113*x + 2. Let f be c(h). What is the tens digit of (2 + -1)/((-9)/f)?
5
Let i = 1073 - -276. What is the tens digit of i?
4
Let v = 68 + -65. Suppose c - 102 = v*d, -15 = -5*c - 2*d + 478. What is the units digit of c?
9
What is the hundreds digit of -5 - (-9*44 + -7)?
3
Suppose -4*f + 42 = 2. Suppose -s - f = -2*s. What is the tens digit of s?
1
Let u(c) = -2*c**3 - 9*c**2 + 5*c + 22. Suppose 50*f + 21 = 47*f. What is the hundreds digit of u(f)?
2
Suppose 79 = -7*a - 173. Let x = 14 - a. What is the tens digit of x?
5
Let v = 1720 - 801. What is the tens digit of v?
1
Let u = -8 - -11. Let m(z) = -3*z**2 + 3*z - z**2 - 5 - 91*z**3 + z**2 + 92*z**u. What is the units digit of m(3)?
4
Suppose 0*b - 2*b + 5*f = 31, -5*f + 13 = 4*b. Let c = 0 - b. Suppose 3*l = -c*l + 264. What is the units digit of l?
4
Let t(u) = 2*u**2 - 4*u + 5. Let m = 20 - 24. Let d be t(m). Suppose -4*k + l = k - 271, k - d = -l. What is the tens digit of k?
5
Let t(g) = -10*g - 14. Let s(o) = -o - 1. Let h(m) = -22*s(m) + 2*t(m). Let d be h(6). What is the tens digit of d/(-2) + 4 - -25?
2
Let n(q) = q**2 - q + 10. Let w be (2 - 2)*1/(-2). What is the tens digit of n(w)?
1
Let b(i) = 477*i + 13. What is the hundreds digit of b(1)?
4
Suppose -4*j = -j + 57. Suppose -4*a + 47 - 151 = 0. Let w = j - a. What is the units digit of w?
7
Let s(j) be the first derivative of -8*j**2 - 9 + j**2 - 26*j + 23*j. What is the units digit of s(-3)?
9
Let y = 37 + -104. Let f = -13 - y. What is the units digit of f?
4
Let i = -24 - -31. Suppose -i*o + 8*o = 120. What is the tens digit of o?
2
Let k be ((-10)/3)/(11/(66/(-4))). Suppose k*a = 677 + 108. What is the tens digit of a?
5
Let q = 145 - 205. Let y = 90 + -182. Let z = q - y. What is the units digit of z?
2
Let u = 253 + -116. Let z = 294 - u. What is the hundreds digit of z?
1
Suppose -k = -3*a + 6, 4*a - 5*k - 6 = 2. Suppose -a*o = -0*r + 3*r + 9, 4*r - o = -12. What is the units digit of 40/(r/9*-3)?
0
Suppose -4*n + 0*n - 2*y = 26, -2 = 3*n - 2*y. Let t(p) be the first derivative of -p**2/2 - p + 1. What is the units digit of t(n)?
3
Suppose -d = 2*d. Suppose d + 2 = j. Suppose j*m + 8 - 22 = 0. What is the units digit of m?
7
Suppose -2*m - 2*m = -36. Suppose 15 = 4*k - u, -u + m = 4*k - 0*u. Suppose -130 = -2*v - k*v. What is the units digit of v?
6
Let t(b) = 5 + 2 - 4*b - 4 - 2. Suppose 7 = -3*j - 2. What is the units digit of t(j)?
3
Suppose 0 = -222*z + 220*z + 1184. What is the tens digit of z?
9
Let s be 15/(-10)*(-4)/6. Let l be -4 + s - (-61 - -5). Let a = 84 - l. What is the units digit of a?
1
Let v(u) = 288*u + 169. What is the tens digit of v(5)?
0
Let c = -401 + 651. What is the units digit of c?
0
Let l = 3730 - 2108. What is the hundreds digit of l?
6
Let r(d) = d**3 + 2*d**2 - 4*d + 2. Let v(p) = p + 1. Let k be v(3). What is the tens digit of r(k)?
8
Let y(o) = o**3 - 7*o**2 - o - 15. Let a be y(7). Let r be 4 - a*(-4)/(-8). What is the units digit of 3/(-6) - r/(-2)?
7
Let t = -31 - -19. Let f = t + 12. What is the tens digit of (f + 1)*(-1 - -18)?
1
Let o(q) = -14*q - 40. Let t be o(-9). Suppose 3*x + 0*c + 3*c = 294, -x = 4*c - t. What is the hundreds digit of x?
1
Let p = 1653 + -1046. What is the tens digit of p?
0
Suppose -16*s + 18565 - 3909 = 0. What is the hundreds digit of s?
9
Let u(j) = -2*j + 3*j + 7 + 3*j**2 - 8 + 2*j. Let r be u(-4). Suppose -4*b + 3*b = -r. What is the tens digit of b?
3
Let s(c) = 13*c + 13. Let x(g) = 5*g**2 + g - 1. Let b be x(1). What is the units digit of s(b)?
8
Let q = -38 + 623. What is the units digit of q?
5
Let f be 1/(-4*(-3)/144). Let p be (-4)/(-2 + -2) + f. Suppose -4*q + p = w, 0*w - 2*w + 41 = 5*q. What is the units digit of w?
3
Suppose q + 3*q = 48. Suppose 0 = q*k - 10*k - 58. What is the tens digit of k?
2
Let n be -2 + 2 + -3 - -7. Suppose -2*i = -n*b - 24, -2*b - 2*i = b + 32. What is the units digit of (-9)/(-12) + (-98)/b?
3
Suppose -z - g + 366 = -370, -5*g = 4*z - 2944. What is the tens digit of z?
3
Let s be 3/(-12) - (-714)/(-24). What is the tens digit of (s/(-6) - -102) + 5?
1
Let u(w) = -w**2 + 9*w - 6. Let x be u(8). Suppose 0 = -5*g + x*q - 2198, -g - 4*g = -q + 2194. What is the tens digit of (-4)/6 - g/9?
4
Let x be -1 + (4 - -1 - 0). Suppose 0*g + 24 = x*g. Suppose -g*z = -z - 45. What is the units digit of z?
9
Let v = 779 - 536. Suppose -2*p = p - v. What is the tens digit of p?
8
What is the thousands digit of 319/58*4/11 - -2171?
2
Let i = -1516 - -2254. Suppose -3*c + i = 3*c. What is the hundreds digit of c?
1
Let u(r) = r**3 - 8*r**2 - 13*r + 10. Let n be u(10). Suppose -2*s + 2*j = -2*j - n, -3*s - 4*j = -110. What is the tens digit of s?
3
Let s(n) = 21*n - 25. Let b(r) = 6 - 5 + 10*r - 13. Let l(m) = 7*b(m) - 3*s(m). What is the units digit of l(5) | {
"pile_set_name": "DM Mathematics"
} |
h + 44*h - 81*h)*(-4 + 1 - 5) in the form g + y*h and give y.
728
Express u + u - 6732 + 6732 in the form w*u + t and give w.
2
Express 3*k**2 - 20*k**2 + 8*k - 16*k - 9*k + 3*k**2 in the form b + p*k + f*k**2 and give f.
-14
Rearrange (0*u - 4*u + 2*u + (u + 5*u - u)*(-2 - 2 + 1))*(-25 - u + 5*u - 2*u) to j*u + b*u**2 + p and give j.
425
Rearrange -76*z + 94*z + 64*z to the form v*z + u and give v.
82
Rearrange 1262*g - 1262*g - 16*g**2 + g**2 + (-4*g + 3*g + 6*g)*(4*g - 4*g + g) - 4*g**2 + 2*g**2 + 0*g**2 to u + b*g + z*g**2 and give u.
0
Rearrange ((z - z - 2*z)*(2 - 1 - 2) - 9*z + z - 3*z)*(2 + 5 - 3) to the form r*z + s and give r.
-36
Express 68*v + 0*v**2 + 219*v + 134 - 131 + v**2 as i*v + m + k*v**2 and give k.
1
Rearrange (-1037 + 1037 + 58*q**2)*(1 - 1 - q)*(-q + 0*q + 0*q) to k*q + y*q**4 + l + n*q**3 + r*q**2 and give n.
0
Express -163*p**2 + 2*p + 2 - 3*p - 4 + 2 in the form h*p**2 + m + u*p and give u.
-1
Express (-2*w - 3 - 2*w + 6*w)*(-23*w - 3*w - 55*w) as i + d*w + b*w**2 and give i.
0
Express (-63 + 31 + 31)*(4*v - 3*v - 4*v) as z + q*v and give q.
3
Express -2306 + 2308 + b - b**2 + 3*b as r*b + x + l*b**2 and give r.
4
Rearrange -2 - 3383*l + l**3 - 5*l**2 + 3383*l - 20*l**4 + 5*l**4 to j*l + g + k*l**3 + v*l**4 + n*l**2 and give v.
-15
Rearrange 14*j**2 - 24*j**2 + 9*j**2 - 38*j - 20*j to the form g + f*j**2 + i*j and give i.
-58
Rearrange (-4742*h**3 - 5115 + 2565 + 2550)*(1 + 0 - 2) to the form r + b*h**2 + d*h**3 + w*h and give d.
4742
Express -6*l**3 - 2*l - 7*l**3 + 19 - 12*l**3 - 11*l**3 + 35*l**3 in the form p + x*l**2 + s*l**3 + h*l and give s.
-1
Express -146*z - 60*z - 88 + 9*z + 86 as u + t*z and give u.
-2
Express (51*u - 53*u + 5 + 10)*(4*u - u - 2*u + (-3 + 1 + 0)*(-3*u - 3*u + 4*u) + 0 + u + 0 - u + 0*u + 4*u) in the form g*u + h + y*u**2 and give g.
135
Express (-51 + 609 + 468 - 269)*(2*k - 2*k + 2 + 2*k**4) in the form m*k**2 + n*k + a*k**3 + i*k**4 + j and give j.
1514
Rearrange 9*k**2 - 3*k + 19 + 7*k - k**3 - 47 + 25 to x*k + d*k**3 + a*k**2 + c and give d.
-1
Rearrange (6 - 4 - 3)*(621*b + 59*b - 91*b) to the form h*b + u and give h.
-589
Express 1 - 1 + 783*y**2 + 11186*y - 11186*y in the form b*y + i*y**2 + z and give i.
783
Rearrange 2*x - x - 4*x + 21*x - 22*x - 32*x - 3 + 3 - 2*x + (4 + 1 - 3)*(2*x + x - x) - x + 4*x - 5*x to q + h*x and give h.
-36
Rearrange (82*w - 82*w + 22*w**2)*(8 - 3 + 11) to i*w**2 + x*w + v and give i.
352
Rearrange 4*n**3 - 4*n**3 + 2*n**3 + (-n**3 + 2*n**3 + 0*n**3)*(-2 - 1 + 5) + 51 + 10*n**3 + 3*n**2 - 51 to t*n + a + j*n**2 + l*n**3 and give l.
14
Express (3*y - 3*y - 2*y)*(5 - 11 - 6)*(0*y - 3 + 2*y - 1)*(5*y**2 + 0*y**2 - 3*y**2) as o*y**3 + g*y**4 + s + i*y + x*y**2 and give i.
0
Express (2 + 3 - 3)*(x + x - x)*(485 + 1421 + 327) as l*x + q and give l.
4466
Rearrange (154*v**2 + 190*v**2 - 424*v**2 + 3 - 2*v)*(2*v**2 - v**2 + 1 - 2*v + 0) to the form o + q*v**2 + c*v**4 + b*v + t*v**3 and give q.
-73
Express 2*d**4 + 2199*d**3 - 2*d**2 + 1 - 4*d - 2193*d**3 + 5*d**4 as n + y*d**2 + w*d**3 + z*d + h*d**4 and give y.
-2
Express 968*c - 512*c - 646*c as h + z*c and give z.
-190
Express (-2*q**3 - 2*q**3 + 2*q**3)*(-1 + 3 - 3) + (-6*q + 3*q + q)*(3*q**2 - 4*q**2 + 0*q**2) as n + h*q**3 + l*q**2 + y*q and give h.
4
Express 0 - 3*u**3 + u**4 - 49723*u + 49725*u - 2*u**2 + 0 as j*u**2 + w*u**4 + i + l*u**3 + s*u and give s.
2
Express 2*n + n - n + (0 - n + 0)*(2 - 2 + 1) - n + 0*n + 3*n + (8 - 2 + 3)*(-4*n + 4 - 4) in the form j*n + v and give j.
-33
Express 269*a + 215*a + 332*a - 579*a in the form h + x*a and give x.
237
Express -n + 4*n - 5*n - 24*n**2 + n + 7*n as t + b*n**2 + s*n and give s.
6
Rearrange 926*g**4 - 2 + 3 - 467*g**4 - 462*g**4 - 2*g + 2*g**3 to a*g**4 + u*g**2 + d*g**3 + y + f*g and give f.
-2
Rearrange (n - 5*n + 2*n)*((-1 + 4 - 1)*(2 - 3 - 2) - 3 + 6 + 9 + 0 + 2 + 0 + (-2 + 2 + 1)*(6 - 4 - 3) + 2 - 4 + 0) to y + l*n and give l.
-10
Express (2*h**3 + 0*h**3 - h**3)*(5 + 1 - 5 - 4 - 1 + 4 + (2 - 1 - 3)*(-1 + 1 + 1) - 1 + 2 - 3)*(80 + 405 + 116) as x*h**2 + n*h**3 + l*h + w and give n.
-2404
Express (4126 - 4126 + 298*v)*(-2 - 4 + 5)*(-3 + v + 3) as r*v + z*v**2 + k and give z.
-298
Rearrange -6 - 106*c**2 + 102*c**2 + 43*c**2 to j*c**2 + n + v*c and give j.
39
Express 14*g**2 - 62*g**2 - 880 + 880 in the form f*g + d*g**2 + b and give f.
0
Express -7*f**2 + 691*f + 6*f**2 - 611*f as d*f**2 + v*f + j and give v.
80
Rearrange (-23*u - 45*u - 11*u)*(-5 + 3 + 0) to the form j*u + h and give j.
158
Express -9*f + 8*f**4 - 1084 + 6*f - 7*f**2 + 1083 as w*f**3 + v*f**2 + h*f + x*f**4 + c and give w.
0
Rearrange 3 - 3 + 5*h + h + h - h + (2*h + 0*h - 4*h)*(1 - 4 + 4) - 26*h + 2*h + 4*h to v*h + l and give v.
-16
Rearrange 105 + 2888*m + 146 - 2889*m to n + h*m and give h.
-1
Rearrange -140 + 25 + 75 + 64 + 29 - 11*p**3 to j*p + r + c*p**3 + x*p**2 and give c.
-11
Rearrange (16*o**3 - 93*o**3 - 71*o**3)*(-3 - 2 + 7)*(-o + 3*o - 4*o) to the form p*o + f*o**3 + c*o**4 + l + n*o**2 and give c.
592
Rearrange (-4 - 4 + 3)*(-g**2 - 3*g**2 + 3*g**2) - 204*g**2 - 292 + 292 to n*g**2 + i*g + f and give n.
-199
Rearrange 1 + 6 - 2*q**2 - 2*q - 16 + 5*q**2 - 2*q**3 - 18 to i*q**2 + m*q + r + s*q**3 and give i.
3
Rearrange -29*x + 24*x - 33*x - 4 - 11*x to j + r*x and give j.
-4
Rearrange 4*g - g - 5*g**4 - 2*g**2 - 4*g**4 + 22*g**4 + g**3 to the form i + v*g**3 + p*g**2 + j*g**4 + t*g and give p.
-2
Rearrange 0 + 0 - 3*q**2 - 2*q - q**2 + 2*q + (q - q - q)*(2*q - 2*q + q) - 75*q**2 + 37*q**2 + 40*q**2 + 4*q + 13 to the form d*q**2 + l*q + t and give d.
-3
Rearrange (500 - 79 + 27)*(-2*y + 3*y**3 + 2*y) + y**3 + 2*y**3 - 4*y**3 to the form n*y**2 + w*y**3 + d + o*y and give n.
0
Express 6*n + 578 - 3*n - 66 + 4*n - 6*n as w*n + c and give c.
512
Express (-2*m**2 - 11 + 18 + 24)*(1 - 38*m + 37*m + 5) in the form g*m + y*m**3 + o*m**2 + z and give y.
2
Rearrange (2*i - 2*i - 2*i)*(-2 - 4 + 5) - 1 + 4*i + 1 - 3*i + 3*i - 2*i + (-2 + 4 + 0)*(-3*i + i + 3*i) to the form k + n*i and give n.
6
Express 4*q**3 + 3*q - 873*q**2 + 2*q - 3*q + 862*q**2 as b + o*q**2 + r*q**3 + p*q and give p.
2
Express -6 - 12*l + 6 + 205*l as g + d*l and give d.
193
Rearrange -37354*f**3 + 35*f + 37357*f**3 + 13*f - 2*f**2 to z*f**2 + u + b*f**3 + g*f and give z.
-2
Express 4 + 0 - 11 + 13 + 7*g as x*g + a and give x.
7
Rearrange 302*h**2 + 0*h - 485*h**2 - 7*h + 269*h**2 to the form r*h**2 + z*h + w and give r.
86
Express -10*d + 14*d + 2*d + (4*d + d - d)*(1 + 3 + 4) as g*d + u and give g.
38
Rearrange 250*a**2 + 170*a**2 + 1 + 0*a + 0*a + 59*a**2 to v*a**2 + z + r*a and give v.
479
Express (-4 + 2 + 4)*(-1 + 2*y + 1) + (-1 - 2 + 2)*(-4 + 4 + 2*y) + 283*y + 305*y + 919*y in the form f*y + d and give f.
1509
Rearrange (-391*u**2 + 2128*u**2 - 1077*u**2)*(0 + 3 - 2) + 2 + u**2 - 2 + (0 + 2*u + 0)*(3*u - 3*u + 2*u) + 2 - 2 + 2*u**2 to g*u**2 + w + r*u and give g.
667
Rearrange -8*n**2 - n - 8*n**2 - n**3 + 2*n**2 + 0*n to the form t*n + w + q*n**3 + d*n**2 and give t.
-1
Rearrange 10*h + 5*h**2 + h**4 + 3 + 23*h - 31*h to p*h**2 + j*h**3 + r*h + c + q*h**4 and give p.
5
Express -3*p**2 + 176*p + 15 - 176*p - 2 as a*p**2 + i*p + k and give a.
-3
Express 16*q**3 - 13*q + 6*q**3 + 5 + 14*q - 7 in the form p + z*q**2 + i*q**3 + k*q and give k.
1
Express (10708*x - 20233*x + 10477*x + 1)*(-2 + 0 + 0) as l + w*x and give w.
-1904
Express 1 - 1 + 2*l**2 - 21*l**2 + 52*l**2 - l**2 + (2*l - 3*l - l)*(3*l - 5*l + 4*l) + 3*l**2 + 1 - 1 as r*l**2 + t + x*l and give r.
31
Express 70*l**2 - 18 - 181*l**2 + 62*l**2 - 13 + 65*l**2 in the form z*l + h*l**2 + o and give o.
-31
Rearrange 4*n + n**2 + 310*n - 173*n to o*n**2 + v + x*n and give x.
141
Rearrange (3 - 3 - u**3 + (0*u**2 - u**2 + 0*u**2)*(0*u - 4*u + 2*u))*(-523 - 1484 + 768) to t*u**3 + d + j*u + p*u**2 and give t.
-1239
Rearrange (-195 - 95 - 32)*(3*x - 3*x - 2 - 2*x) to y + k*x and give y.
644
Rearrange (-2*u + 2*u + u)*(7*u + 8 - 8)*(6 + 8 + 3) to h + w*u + p*u**2 and give p.
119
Express (-4*u - 9*u - u**2 + 14*u)*(4*u**2 - 3*u**2 + 2*u**2 - 1) as x*u**3 + b + l*u + d*u**4 + f*u**2 and give d.
-3
Rearrange (6 - 2 - 2)*(0*f - 4*f + 2*f + (1 + 0 + 0)*(-4*f + 2*f + 0*f) + f + f - 3*f)*(-369 - 305 + 361) to the form y*f + v and give y.
3130
Express ( | {
"pile_set_name": "DM Mathematics"
} |
106. Let l be o(8). Suppose 5*r + 295 = 4*t, -3*t = -3*r - 30 - 144. Let x be 212/18 - l/r. Solve -3*j + x = j for j.
3
Suppose -6 = 5*w - 2*w + 3*u, -5*w + 25 = -2*u. Suppose -2*a = -c + a + w, -2*c = -a - 11. Solve l - c = -l for l.
3
Let w be ((-3)/5 + (-3)/(-30))*0. Let o = 4 - 0. Suppose m + 5*f = -1, o*m + 5*f - 12 + 1 = 0. Solve w*n + 4*n + m = 0 for n.
-1
Suppose b - 10*a + 9*a = 0, 8 = 2*a. Solve 0 = b*u - 7*u - 3*u for u.
0
Let v = 2062 + -2045. Solve -v = 2*l - 27 for l.
5
Suppose 4*r + 4*g = 36, -5*r + 80 = 3*g + 25. Solve 3*n - 2 = -r for n.
-4
Suppose 11*m + 239 = 393. Solve m*o - 16*o + 2 = 0 for o.
1
Let b be 332/(-14) + (-6)/21. Let x be (b/(-16))/((-2)/(-4)). Suppose 4*z - 3 = i - 26, 29 = 3*i - 2*z. Solve -4*g + x = -i*g for g.
-1
Suppose 5*l = 11*l + 10*l. Solve l = -3*r - 13 + 16 for r.
1
Let v(j) = -4*j + 1. Let p be v(-1). Suppose p*h - 7*h + 4 = 0. Solve -h*s - 8 = -0*s for s.
-4
Let x(c) = -c**3 - 3*c**2 + 4*c + 2. Suppose 2*z + 0 = 4*g - 8, 2*z + 5*g + 8 = 0. Let o be x(z). Solve -o = -3*h + 10 for h.
4
Let t = -4 - -4. Suppose 9*n - 11*n = -4. Solve n*l + 6 - 2 = t for l.
-2
Let m be 2 + 2 + -1*4. Suppose t + 3*t - 8 = m. Let l(c) = -6*c - 1. Let v be l(-1). Solve -12 = v*g - t*g for g.
-4
Let q(l) = -2*l + 27. Let u be q(16). Let k be 3/1 + u*(-8)/20. Solve k*w + 13 = -2 for w.
-3
Suppose 0 = -2*r + 14*r - 0*r. Solve 5*q - 25 + r = 0 for q.
5
Let w(f) be the second derivative of -f**5/20 + 7*f**4/12 + 7*f**3/6 + 11*f**2/2 - 14*f. Let z be w(8). Solve 8 = z*g - 1 for g.
3
Let d(r) = r + 21. Let u be d(0). Let b be u*(12/(-60))/(6/(-10)). Solve 3 = -2*n + b for n.
2
Let t be ((-48)/(-18))/(1/3). Suppose 4*z + z = 5. Suppose 3*u - z = t. Solve 0 = u*i + 5 + 1 for i.
-2
Let d be -7*(-2 + 80/35) + 6. Solve 0 = -d*n + 25 - 5 for n.
5
Suppose -6 = -2*d + 4. Let w(l) = 13*l + 45. Let v be w(-3). Solve 0 = d*y - 21 + v for y.
3
Suppose 2*n + b = -69, -3*b + 93 = -3*n - b. Let q = n + 35. Solve -j - q + 0 = 0 for j.
-2
Suppose -3*k + 17 = 5*x, 5*x + 7 = k + 8*x. Solve -c + k = 7 for c.
-3
Suppose -2*r - 8 = -2*o, -41*o - 16 = -2*r - 45*o. Solve r = 11*f - 3*f for f.
0
Suppose 4*d - 92 = -68. Solve 0 = -d*x - 3*x + 27 for x.
3
Suppose 4*u + 5 = i, 20 = -2*u + 5*i - i. Suppose u = -4*n + 5*n - 2. Solve -n = -y - y for y.
1
Suppose -2*s + 2*b - 4*b = -8, s - 13 = -4*b. Solve -5 = -2*g - s for g.
2
Let a be (36/30)/(6/80). Let l = a + -10. Suppose b = l*b - 15. Solve v = -0*v + b for v.
3
Let d(p) = -p**2 - 19*p - 29. Let y be d(-13). Let q = y + -44. Solve -5*o = -4*o + q for o.
-5
Suppose 3*v = 3 - 0, 0 = 2*h - 3*v + 3. Suppose -6*m + m + 10 = h. Let a = 5 + m. Solve a = -4*n - 9 for n.
-4
Let c(x) = -4 - x**3 - 3*x + 6 + 6*x**2 + 0 - 2*x**2. Let h be c(3). Solve -s + 0*s = h for s.
-2
Let n(k) = -k + 8. Let m be n(6). Let q(l) = 8 + 2*l - 24 - l**2 + 16. Let v be q(m). Solve v + 5 = a for a.
5
Let t = 989 - 978. Solve 2*o + 9 = t for o.
1
Let j(n) = 7*n + 52. Let p be j(-6). Solve 0 = p*g - 7*g + 15 for g.
-5
Let f = 14 - 14. Suppose 2*o - 5*p - 40 = -f*o, 5*o + 2*p = 42. Solve -j = -3*j + o for j.
5
Suppose 3*h - 2 - 13 = 0. Suppose -5*b = -6*b - 53. Let r = -53 - b. Solve r*z + h = -z for z.
-5
Let c(x) = x**2 - 9*x + 10. Let k be c(8). Suppose u = y - 23, -2*u + u + 37 = k*y. Let s be 1/5 - 4/y. Solve 4*q - 6 + 14 = s for q.
-2
Suppose -45*u = -42*u - 6. Suppose 16 = u*a - 3*t, 4*a = t + 11 + 1. Solve a = -5*y + 7 for y.
1
Suppose -x + 13 = 4. Suppose 0 = s + 4 - x. Let k be (-2 - -2)*((-20)/8 - -2). Solve -5 = -s*f - k for f.
1
Suppose -y + 2*k + 0*k + 64 = 0, 235 = 4*y - k. Suppose -59*f + y*f = -5. Solve 3 = -4*i - f for i.
-2
Suppose 4*l - 20 = 4*p - p, 5*l + 4*p = 56. Suppose 2*w = w - 3*m - 16, -8 = -w + 3*m. Let a = l + w. Solve -20 = a*r - 0*r for r.
-5
Let x = 14 - 11. Suppose x = 5*g - 7. Suppose -50 = 2*w - 7*w. Solve 4*q + w = g for q.
-2
Suppose -81*u + 90*u - 252 = 0. Solve -h + u = 23 for h.
5
Suppose g - 2*g = -2*p + 1, 5*g - 4*p = 13. Let v be ((-1)/1)/(2/(-6)). Let q(s) = s**3 - 5*s**2 + 7. Let i be q(5). Solve 0 = g*z + v + i for z.
-2
Suppose -64*d = -60*d + 4. Let v(t) = -10*t - 4. Let u be v(d). Solve b - u = -4 for b.
2
Let w be 60/8*2/(-3). Let k = w + 9. Let q(m) = 5*m - 10. Let f be q(3). Solve k = f*v - 6 for v.
2
Suppose g = -3*g + 4. Let h be 7 + -2 + g/(-1). Solve 2*n + 2*n - h = 0 for n.
1
Let l(q) = q**2 - q - 1. Suppose -7*z + 15 = -6. Let p be l(z). Suppose -4*d = -5*d + p. Solve 0*i = -i + d for i.
5
Let g(u) = -7*u + 15. Let y be g(0). Solve 7*d - y = 2*d for d.
3
Suppose -3*i = -2*t - 8, -3*i - 34 = 3*t + t. Let x(s) = -4*s - 28. Let w be x(t). Solve w = -2*c + c - 3 for c.
-3
Let x = -243 - -247. Solve -2 - x = -2*v for v.
3
Let q = -673 - -689. Solve 11*v = 39 + q for v.
5
Let d(s) = -s**2 - 5*s + 2. Let j be d(-5). Let k = 767 - 767. Solve 3*z - j*z + 3 = k for z.
-3
Suppose -4*p + l = -0 + 4, -3*p = -6*l + 24. Solve -a + 6*a + 25 = p for a.
-5
Let g(r) = r**2 + 11*r + 20. Let l be g(-9). Solve 3*k + 10 = -l*k for k.
-2
Suppose 4*a - 75 = -a. Suppose 0 = -3*v + a - 3. Let z = -4 - -12. Solve -z*k = -4*k + v for k.
-1
Let t(z) = -5*z + 3. Suppose -2*b - 16 = 2*b. Let p be t(b). Let x(v) = 5*v - 27. Let w be x(6). Solve -4*g - w + p = 0 for g.
5
Suppose 14*g - 13*g - 2 = 0. Suppose c = -4*n + 63, -g*n - 5*c + 60 = n. Solve -2*i = 3*i + n for i.
-3
Suppose 3*c = c. Let s = 1797 + -1797. Solve -z + c + 2 = s for z.
2
Let x(g) = g**3 + 6*g**2 + 4*g - 7. Let p be x(-4). Solve -10 = -p*i - 1 for i.
1
Suppose -17*d + 95 + 41 = 0. Solve -d*a + 3*a = 0 for a.
0
Let r = 47 + -36. Suppose 3*t = -2*j + 11, t + 3 = -5*j + r. Solve -16 = -t*i - i for i.
4
Let f be ((-12)/60)/(1/(-15)). Solve 9 = -f*c + 3 for c.
-2
Let a be (2/(-7))/(-8*(-11)/(-308)). Solve -a = -l - 6 for l.
-5
Let j = 57 - 9. Suppose -2*p - 5*l + 44 = -l, -4*p + 2*l = -j. Solve p = -5*k + 4 for k.
-2
Let n be 0*((-136)/16 + 9). Solve 0 = -5*y - n*y - 20 for y.
-4
Let n = -204 + 204. Solve -4*a = -n*a + 20 for a.
-5
Let g = 23 - -10. Suppose 10*k - 7 = g. Solve k = -u - u for u.
-2
Suppose -2*q - 3*q + 45 = 0. Let o be ((-4)/6)/(2/q). Let r be ((o - -3)/3)/2. Solve -5*v + 8*v = r for v.
0
Let s(f) = 11*f - 224. Let g be s(26). Solve -5*b - g = -47 for b.
-3
Suppose 7*x - x - 12 = 0. Let b(s) = 0*s + 0*s + s**x + 0*s**2 - s. Let j be b(2). Solve j*m - 1 - 3 = 0 for m.
2
Suppose -2*w - 12*x = -7*x - 71, 3*w - 115 = x. Solve -w + 13 = 5*p for p.
-5
Let v(r) = r**3 - 10*r**2 + 11*r - 16. Let g be v(9). Suppose -g*s - 9 = -15. Solve -s + 6 = b for b.
3
Let q = 314 + -310. Solve -29 = 5*x - q for x.
-5
Let j be (15/(-3))/(-5)*0. Suppose -1 - 6 = -2*n - s, j = 3*n + 2*s - 11. Solve -n = -b - 0*b for b.
3
Suppose -x + 2 = -0*x. Let t be (x/(-6))/(3/(-18)). Suppose 5*b - t*b - 17 = -f, f + b = 7. Solve 0 = f*g - 5 + 1 for g.
2
Let w = 57 + -72. Let v = 15 + w. Solve v = -3*x - 0*x - 12 for x.
-4
Suppose -p + 21 = -3*h, 5*p - 4*h = 10*p - 48. Solve 3*o - 9*o - p = 0 for o.
-2
Let l = 1591 + -1584. Solve -28 + 21 = l*h for h.
-1
Suppose -223 = -4*y - 3*o - 179, -4*y + 3*o + 68 = 0. Solve 0 = -10*w + y*w - 8 for w.
2
Suppose -2*p - 31 + 39 = 0. Solve 5 + 7 = -p*g for g.
-3
Let p(d) be the third derivative of 1/120*d**6 + 4*d**3 - 3/20*d**5 - 1/2*d**4 + 3*d**2 + 0*d + 0. Let a be p(10). Solve -a = y + y for y.
-2
Let a(w) = -w**2 - 2*w - 1. Let d be a(-1). Let q be (30 - 29)*(-11 + 27). Solve -q = -d*o - 4*o for o.
4
Let x be 15/(-10)*(-4)/(-3). Let y be 12/(-8)*x - -14. Suppose r = -3*f - 11, -2*f - y = -7. Solve 5*p = r*p - 5 for p.
-5
Let y(t) be the second derivative of t**4/12 + 13*t**3/6 + 27*t**2/2 + 7*t. Let f be y(-11). Solve -f*o + 2 = 27 for o.
-5
Let l = -11 + -4. Let p(g) = -g**2 - 15*g + 3. Let v be p(l). Let j = 9 + -5. Solve -v*h - j = 5 for h.
-3
Let s = -1523 + 1576. Solve 15*d = -128 + s for d.
-5
Suppose 3*u + 6 = -6. Let p(a) = -7*a - 14. Let t be p(u). Let d = -8 + t. Solve -3*v + 9 = -d for v.
5
Suppose 17 = 24*g - 7. Solve -5*k = -4*k - g for k.
1
Let c = 10 + -58. Let x = -45 - c. Solve -x*t = -4*t for t.
0
Let u(g) = -2 - g**2 + 6 - g**3 - 5*g**2 + 7*g. Suppose -m - 9 = -2*s, 14*s - 19*s + 19 = -2*m. Let v be u(m). Solve -15 = -v*l + 5 for l.
5
Let f = 22 - 17. Solve -f*h - 11 = -6 for h.
-1
Suppose -x + 3 = -4. Le | {
"pile_set_name": "DM Mathematics"
} |
*f = 3*t + 15. Suppose -w = -2*p, 0*w - 4*p - 20 = -t*w. Solve -w = l - 3*s, 3*l + s - 14 + 4 = 0 for l.
2
Let n = -7 + 10. Solve 2*x - x - j = -n, -4*x - 26 = 3*j for x.
-5
Suppose -o + 5*f + 0*f = -9, -2*o + 5 = 3*f. Suppose -4*v = 5*u + 12, 2*v + 48 = o*u + 16. Let l = -4 - v. Solve -d + 17 = 5*a, -4*a - l*d = -2*a + 4 for a.
4
Let u(a) = -a**3 - 3*a + 2. Let l be u(0). Solve g = c, -c + l*g + 12 = -2*c for c.
-4
Let h = -28 - -28. Solve 4*z - 20 - 2 = -5*f, -3*f - 5*z + 21 = h for f.
2
Suppose -l = -p - 5, -4*l - p = l - 25. Suppose -2*i + 4 = -4*y - 0, 4*y + l*i - 24 = 0. Let z be 70/15 - (-4)/(-6). Solve v - 2*h - z + y = 0, 0 = h for v.
3
Let j be (-156)/(-24) - 3/2. Solve -j*d + 5 = 0, 1 = i + 5*d - 0 for i.
-4
Let r be 1 + (-4 + 3)*1 + 0. Solve r = 4*i + 3*b + 18, 0 = -i + 3*b + 4 - 1 for i.
-3
Suppose 0 = -5*y - 3*a + a - 116, a - 63 = 3*y. Let s be (-9)/(18/20) + -4. Let m = s - y. Solve -3 = 4*h - h - 2*f, 5*h + f = m for h.
1
Let v = 5 + -11. Let h(y) = 1 - 2*y - 7 + y. Let p be h(v). Solve p = m + j + 2, -j - 2 = 2*m + 5 for m.
-5
Suppose -19*k = -21*k + 4. Solve -k*j + t = -6*j - 10, -2*j = t + 4 for j.
-3
Let s be ((-1)/1 - -1) + -6. Let t be -1 - (2 - (-1 - -6)). Let n be (-20)/s*15/t. Solve 4*j + 25 = m - 2*m, 0 = -5*m - n for j.
-5
Suppose 1 = -4*u - 5*x + 34, 2*u + 5*x = 29. Solve -4*n - u = -a + 1, -5*a - 3*n = 31 for a.
-5
Let n be 1*15/9*3. Solve -n*l + 25 = 0, 2*s + 3*l - 2*l = 7 for s.
1
Let m(d) = -d - 11. Let g be m(-15). Solve 3*q = -0*b + 3*b - 3, 0 = 5*q + g*b - 22 for q.
2
Suppose -4*t - 309 = -837. Suppose t = 4*d + 48. Solve c = 3*u - 8*u - d, -3*u - 11 = c for c.
4
Let l be 2 + 3 + 3/(-1). Suppose s - 28 = -2*s + 4*c, 4 = -l*s - 3*c. Solve 5*d = -25, 5*d = -s*u + 7*u - 37 for u.
4
Let i(a) = -12 + 9*a - 13*a - a**2 - 6*a. Suppose -3*v + 4*v = -5*o - 45, -5*v = 5*o + 65. Let p be i(o). Solve -2*u = p*h, 5*h - 2*h = -3*u - 3 for u.
-2
Suppose -4*d + 45 = 33. Suppose -a - 1 = -3*i - 0, 0 = -4*a + 3*i + 5. Solve -a*g + 15 = -3*b, 2*b - d*g = -5*g for b.
-3
Let m = 7 - 5. Solve 4*t + s + 1 = 0, m*t - s = -1 - 4 for t.
-1
Let u(y) = 2*y - 2. Suppose 0*a = a - 2. Let b(i) = i - 3. Let n(f) = a*u(f) - 3*b(f). Let j be n(-5). Solve 4*x + 3*c = -6, j = -5*x - c - 1 - 1 for x.
0
Let a be ((-60)/21)/(10/(-35)). Solve u - 4*z - 1 = -z, 4*u + 2*z + a = 0 for u.
-2
Suppose -2*h = 2*h - 8. Suppose -5*d + h*j + 22 = 3*j, 0 = 2*j + 6. Let y be (-2 - 2)*(-1)/2. Solve -7 - 10 = d*s - y*u, -4*s - u = 11 for s.
-3
Let r = -3 - 3. Let x(u) = u**2 + 5*u - 1. Let p be x(r). Suppose k = -2*g - g - 2, k - 8 = 2*g. Solve -n = b + p, 4*n + 25 = -k*b - b for n.
0
Suppose -3*o + 14 = 2*w, -o = 4*w - 31 + 3. Let b be 4/8*-8 + w. Solve j + j = -b*m - 3, -6 = 2*j + 4*m for j.
3
Let c be 1/(-2) + 1/(-2). Let w(j) = -3*j**3 - j**2 - j - 1. Let b be w(c). Solve -3*o = -b*o - 4*k + 13, -2*o = -4*k + 14 for o.
-1
Suppose 0 = 2*s + 3*q + 12, 2*s = -0*q + 2*q + 8. Solve -4*y + 12 = s, 4*g - 5*y = g - 30 for g.
-5
Let b(r) = -r**3 - r**2 + 6. Let f be (1 - (-1)/1) + -2. Let p be b(f). Let i be 2 - 2/p*0. Solve -5*l + 25 = 0, -2*q = i*l - 4 - 0 for q.
-3
Let l = -6 + 21. Let h be 1/3 - (-40)/l. Solve -4*k - j - j = 10, -h*j + 10 = k for k.
-5
Let u(c) be the second derivative of -c**3/6 + 7*c**2/2 - 6*c. Let d be u(0). Solve -5*i + 4*a - 2 = -17, 2*a + d = 3*i for i.
-1
Suppose 60 = 3*t + 2*t. Solve -2*h + 2*s = -h - 9, 2*s + t = 4*h for h.
1
Let k = 30 - 19. Solve 3 = m + 8, 0 = -u + 2*m + k for u.
1
Suppose -3*r = 2*f - 12, 2*f = -2*f + 12. Suppose 2*t + r*o + 2 = t, 2*t - 2*o = 20. Let m = t - 3. Solve -b + m*w + 17 = 0, b + 4*w + 10 = -1 for b.
5
Let r(t) be the third derivative of -t**4/24 - 4*t**3/3 + 4*t**2. Let d be r(-10). Solve o + 3*b + 15 = 0, -2*b - 3 - d = -o for o.
-3
Let j be (-4)/(-18) + (-4)/18. Solve 3*l - o = -8, j*l = -2*l - 5*o + 6 for l.
-2
Suppose 5*h = -0*h + 55. Let k = -8 + h. Solve j = k*p + 10 - 2, -4*j - 5*p - 2 = 0 for j.
2
Let b be 12/((-10)/(-5))*(-2)/(-4). Let i(g) = g**3 - 4*g**2 + 2*g - 6. Let x be i(4). Solve 2*h = x*m + 4, b*h - 5*h = -4*m - 2 for h.
3
Suppose 2*r - 4*r + 2*b = -14, 2*r = -2*b - 6. Solve 2*v + 4*c - 7 = -v, -5*v + 3*c + r = 0 for v.
1
Let u = 2 - 0. Let v be u/3 - 26/(-6). Solve -v*s = -4*b + 20, 0*s - 3*s = -2*b + 10 for s.
0
Let y(x) = -x**3 + 9*x**2 + 8. Let a be y(9). Let b(f) = -f**3 + 9*f**2 - 7*f - 8. Let g be b(a). Solve g = 4*u - 12, 4 = 6*j - 5*j + 2*u for j.
-2
Suppose -5*s + 9 = -1. Suppose -3*q - s*q + 10 = 0. Solve -3*o + 23 = -8*o - q*w, 3*o + 1 = 2*w for o.
-3
Suppose 5*d - 5*v = 55, 4*v = 3*d - 0*d - 38. Solve -3*k + i - d = -0*k, 5*k - 2*i + 9 = 0 for k.
-3
Let i(p) = p + 2. Let b be i(4). Suppose 3*c + 10 = -5*d, -2*c + 2*d = -d - b. Solve 5*j - 5*g = 6 + 14, -j - 4*g - 16 = c for j.
0
Suppose 0 = -5*l + 4*o + 37, -l + o = -o - 11. Suppose -p + 4*r = p - 14, 3*p - 20 = 5*r. Solve p*s - l*g + g = 26, 2*s - 2*g = 12 for s.
2
Let m be 90/(-12)*4/(-2). Solve 2*c + 2*c - 4*j = 0, 0 = -4*c - j + m for c.
3
Suppose 4*d - 2*d - 4 = 0. Solve -t - d*l = 3*t - 8, 5*t - l - 17 = 0 for t.
3
Let m = -49 - -54. Solve 0 = 4*j - m*a - 32, 0 = -2*j - 2*a + a + 2 for j.
3
Let h(z) = 2*z. Let r be h(2). Solve -4*g - 3*n = n + r, 0 = -n + 3 for g.
-4
Let w be (-6)/10 - (-8)/5. Let y(f) = 6*f**3 - f. Let q be y(w). Solve k = 5*n + 13, -k = -q*n + 3*k - 7 for n.
-3
Suppose 0 = -4*i - 3*o + 30, 3*i - 22 = -0*i - 2*o. Solve 0 = 3*r - 5*z + 17, 0 = 5*r + 2*z - i*z + 24 for r.
-4
Suppose 3*i + 15 = -3. Let k be (15/(-10))/(i/8). Solve -4*r = -3*u - 11, -k*u + 3*u = -4*r + 23 for r.
5
Let j be 6/39 - (-160)/(-26). Let y be j/(-21) - 4/14. Solve -4*l - 2*x + 2 = y, -8 - 8 = 4*l - 4*x for l.
-1
Suppose 22 = 5*p - 3. Suppose -8 = -5*z + 3*z. Solve -3*j - 5*u - p = -0, z*j = -5*u for j.
5
Let p(j) = -j**3 - 6*j**2 + 16*j + 2. Let f be p(-8). Solve y + m = -y - 5, f*m = -6 for y.
-1
Let r = 23 + -21. Let t be 8*((-7)/r)/(-7). Solve 0 = d - 5*g - 22, 5*d + t*g + g = -10 for d.
2
Suppose 2*c - 2*s - 4 = 6, 5*c = -2*s + 11. Solve -6 = 2*h + h - c*q, -2*h + 2 = q for h.
0
Let m(l) = -l**3 - 4*l**2 + 3*l - 6. Suppose 2*o = p + 5, -20 = 4*p - 0*p - o. Let y be m(p). Solve y*k - x = 6, 6 - 2 = -2*k - 3*x for k.
1
Suppose -5*d + 23 = 8. Suppose -4*z - 12 = -m - 0, 5*z + 26 = 4*m. Let j be (-32)/z - 1*d. Solve -4*x = 2*a + 20, 4*x + 5*a + 39 = j for x.
-4
Suppose 2*m = 4*i - 10, 3*i - 4 = 5*m - 14. Solve -5*h - 5*u - 2 = -12, -m*u = 4*h - 6 for h.
4
Suppose 4*i - 3*g - 6 = 0, 5*i - 2 = i + g. Let h be (7/(-2) - -3)*i. Solve r - 1 = 0, h*y - 2*r = y for y.
-2
Suppose -30 = -4*v + 6. Solve -5*g + v + 9 = -4*k, -2 = -3*g - 2*k for g.
2
Let i(t) = -6*t - 2. Let y be i(-1). Solve -2*c = -5*l - 28, -y*c - 3*l = -6*l - 28 for c.
4
Suppose 3*g - 11 - 1 = 0. Solve -b + 5*c = 3*b + 25, g*c - 29 = 5*b for b.
-5
Suppose -32 = -5*h - 0*n - 4*n, -38 = -5*h - n. Let k be (12 - h)/((-4)/(-6)). Solve -x = -3*y + k, -x - 3*y = -4*y for x.
3
Let k(s) = 10*s**2 - 2*s + 1. Let y be k(1). Let l = y + -5. Suppose 0*z = -2*z + l. Solve -4*w + 4*u = 8, 4*w + 5*u - z = w for w.
-1
Let i be 2 + 1/(4/8). Let s = 0 + i. Solve s*w - 3*m - 6 = 0, m = -3*w - 0 - 2 for w.
0
Suppose 0 = n - 2*h - 20, -2*n = -8*h + 3*h - 40. Suppose 0 = z - 2, 5*z = -6*c + 5*c + n. Solve -4*u - 32 = -3*s - c, 2*u + 8 = 0 for s.
2
Let j = 55 + -37. Solve 2*x = 5*r + j, -6*x + 2*r = -2*x - 20 for x.
4
Suppose 2*w - 20 = -8*w. Suppose -3*h + 21 = 3*k - 6, k - 5 = 0. Solve -h*t - 3*r = 31, -w*r = -4*t - 4*r - 26 for t.
-4
Let i(j) = j - 3. Let t be 0 - 12/(-9)*-12. Let x = 22 + t. Let w be i(x). Solve 0 = 4*l + 3*y + 14, -5*y = w*l - 2*y + 12 for l.
-2
Let c = -35 + 39. Solve 0 = c*m + 5*t + 49 - 9, m - 2*t = 3 for m.
-5
Suppose 5*o = 5*s - 70, o - 1 = -0. Let t(a) = -a + 3. Let l be t(0). Suppose 0*p + 15 = l*p. Solve s = -2*z + 7*z + p*w, -3*w + 11 = 2*z for z.
-2
Let j be -4 + (-1 - -1) + 4. Solve l + j = 5, -12 = -q - 3*l for q.
-3
Suppose 4*a = -16 + 80. Solve 4*f - a = 4*z, -5*z = f - 4 - 6 for f.
5
Let v be (-19)/1*(0 + -2). Let d = -27 + v. Suppose 0 = -g - 4*r - 10 - 6, -r - 4 = -2*g. Solve 5*c + 3*w - 37 = g, -c - d = -2*w - 2*w for c.
5
Let u(z) be the third derivative of z**4/24 - 6*z**2. Let l be u(2). Solve -4 = -l*j + 3*o, -12 = -3*j + o + 1 for j.
5
Suppo | {
"pile_set_name": "DM Mathematics"
} |
f 200 and 80.
400
What is the least common multiple of 200 and 128?
3200
Calculate the common denominator of 67/210 and -3/5.
210
Find the common denominator of -101/276 and -149/18.
828
What is the least common multiple of 96 and 4560?
9120
What is the smallest common multiple of 1251 and 2919?
8757
Calculate the common denominator of -127/2664 and 113/96.
10656
What is the common denominator of 33/2654 and 97/8?
10616
Calculate the lowest common multiple of 105 and 7.
105
What is the least common multiple of 55 and 100?
1100
Calculate the lowest common multiple of 42 and 936.
6552
What is the smallest common multiple of 2394 and 2394?
2394
Calculate the lowest common multiple of 702 and 1326.
11934
Find the common denominator of -85/242 and -95/1518.
16698
Calculate the smallest common multiple of 31 and 155.
155
What is the common denominator of 119/18 and 89/22388?
201492
Calculate the lowest common multiple of 9 and 72.
72
What is the least common multiple of 1551 and 55?
7755
What is the common denominator of 61/20 and -1/172?
860
Find the common denominator of 109/130 and -55/104.
520
Calculate the common denominator of -81/14 and 19/14.
14
What is the least common multiple of 2 and 13?
26
Calculate the smallest common multiple of 1 and 3129.
3129
Calculate the lowest common multiple of 22 and 54.
594
Calculate the least common multiple of 6 and 4.
12
Find the common denominator of 31/119 and -59/34.
238
Calculate the smallest common multiple of 2530 and 5060.
5060
What is the common denominator of -17/3669 and 26/9?
11007
Calculate the smallest common multiple of 21 and 6.
42
Find the common denominator of -17/27 and -73/147.
1323
Calculate the smallest common multiple of 525 and 275.
5775
Find the common denominator of 51/14 and -29/308.
308
Find the common denominator of 103/248 and 29/44.
2728
What is the lowest common multiple of 938 and 2?
938
Calculate the common denominator of 20/159 and -97/210.
11130
Calculate the least common multiple of 20 and 2834.
28340
What is the common denominator of -79/506 and 95/1242?
13662
Find the common denominator of 173/168 and -125/36.
504
Calculate the smallest common multiple of 27 and 144.
432
Calculate the least common multiple of 63 and 133.
1197
What is the smallest common multiple of 11 and 662?
7282
Find the common denominator of -15/22 and -121/12.
132
Find the common denominator of -71/20 and -65/4.
20
Find the common denominator of -47/80 and 107/20.
80
What is the common denominator of -187/150 and -89/75?
150
Calculate the common denominator of -7/81 and 43/81.
81
Calculate the common denominator of -103/5124 and -157/5124.
5124
Find the common denominator of -157/180 and -11/200.
1800
Calculate the least common multiple of 4123 and 1302.
24738
What is the least common multiple of 284 and 781?
3124
Calculate the common denominator of -69/52 and 27/2.
52
Calculate the common denominator of -127/60 and 79/90.
180
Find the common denominator of -58/1293 and -32/81.
34911
Find the common denominator of -68/429 and 83/1188.
15444
What is the lowest common multiple of 403 and 2325?
30225
What is the common denominator of -45/4 and -31/58?
116
What is the common denominator of -92/105 and 79/57?
1995
What is the common denominator of -53/177 and 31/27?
1593
Find the common denominator of 59/8 and -43/132.
264
What is the common denominator of 67/1354 and 1/2?
1354
Calculate the least common multiple of 192 and 834.
26688
Calculate the common denominator of 41/27 and 143/90.
270
What is the smallest common multiple of 48 and 24?
48
What is the common denominator of -39/6128 and 9/28?
42896
Calculate the least common multiple of 4935 and 8460.
59220
Calculate the least common multiple of 504 and 68.
8568
What is the common denominator of -23/608 and 39/820?
124640
Calculate the lowest common multiple of 45 and 630.
630
Calculate the common denominator of -29/356 and -113/18.
3204
What is the least common multiple of 90 and 81?
810
Calculate the least common multiple of 80 and 200.
400
Find the common denominator of 34/7 and -26/2967.
20769
What is the common denominator of 7/190 and 9/5?
190
Calculate the common denominator of 79/562 and 53/36.
10116
Calculate the common denominator of -85/144 and -89/3468.
41616
Calculate the smallest common multiple of 145 and 145.
145
What is the least common multiple of 30 and 140?
420
Calculate the lowest common multiple of 6 and 15.
30
Find the common denominator of 9/4 and -49/1751.
7004
Calculate the least common multiple of 12 and 2684.
8052
What is the common denominator of 9/64 and 89/1552?
6208
What is the common denominator of 5/1042 and -65/4168?
4168
Calculate the smallest common multiple of 44 and 5788.
63668
What is the smallest common multiple of 14329 and 230?
143290
Calculate the least common multiple of 294 and 7.
294
Calculate the least common multiple of 2550 and 765.
7650
What is the smallest common multiple of 110 and 70?
770
Find the common denominator of 23/4008 and -83/52.
52104
Calculate the least common multiple of 3 and 178.
534
What is the lowest common multiple of 19 and 7?
133
Calculate the smallest common multiple of 3 and 45.
45
Calculate the common denominator of -41/1068 and -85/48.
4272
Calculate the least common multiple of 152 and 38.
152
What is the smallest common multiple of 605 and 3795?
41745
Calculate the least common multiple of 1128 and 102.
19176
Calculate the least common multiple of 640 and 240.
1920
Calculate the common denominator of -42 and -57/376.
376
Calculate the common denominator of 34/23 and -35/12.
276
Calculate the common denominator of 13/268 and -77/12.
804
Calculate the least common multiple of 352 and 224.
2464
What is the lowest common multiple of 21 and 84?
84
Find the common denominator of -91/22 and 11/1900.
20900
Calculate the lowest common multiple of 39 and 9.
117
What is the common denominator of 89/100 and 41/680?
3400
What is the lowest common multiple of 1422 and 474?
1422
Calculate the lowest common multiple of 14 and 1828.
12796
Calculate the common denominator of -139/360 and -59/36.
360
Calculate the common denominator of 89/522 and -121/696.
2088
Calculate the common denominator of -27/14 and -83/38.
266
What is the common denominator of 23/585 and -37/9?
585
What is the least common multiple of 392 and 32?
1568
Calculate the lowest common multiple of 104 and 364.
728
Calculate the lowest common multiple of 144 and 18.
144
Calculate the least common multiple of 8 and 112.
112
Calculate the common denominator of 24/133 and 17/49.
931
Calculate the least common multiple of 78 and 12.
156
What is the smallest common multiple of 12 and 465?
1860
Calculate the smallest common multiple of 4 and 9.
36
Calculate the smallest common multiple of 121 and 5.
605
What is the least common multiple of 5490 and 5490?
5490
Calculate the least common multiple of 156 and 33.
1716
What is the lowest common multiple of 117 and 143?
1287
Calculate the least common multiple of 2688 and 24.
2688
What is the lowest common multiple of 8 and 510?
2040
What is the common denominator of -7/178 and -167/60?
5340
Calculate the least common multiple of 7 and 232.
1624
Calculate the lowest common multiple of 120 and 10.
120
What is the least common multiple of 3744 and 30?
18720
Calculate the common denominator of -1/66 and -49/69.
1518
Calculate the common denominator of 17/3300 and -1/990.
9900
What is the lowest common multiple of 477 and 371?
3339
What is the common denominator of 187/30 and 139/198?
990
What is the common denominator of 44/571 and -7/10?
5710
What is the lowest common multiple of 8 and 168?
168
Calculate the lowest common multiple of 96 and 96.
96
What is the least common multiple of 612 and 3?
612
Find the common denominator of -51/4 and -69/22.
44
What is the common denominator of -85/36 and 87/112?
1008
What is the smallest common multiple of 2252 and 22?
24772
Calculate the smallest common multiple of 8 and 59.
472
What is the least common multiple of 23 and 276?
276
Find the common denominator of -32/11 and -37/21.
231
What is the least common multiple of 56 and 2450?
9800
Calculate the smallest common multiple of 18 and 22.
198
Find the common denominator of -47/155 and 9/19 | {
"pile_set_name": "DM Mathematics"
} |
f) = 25*g(f) + m(f). Let q(i) = 0. Calculate i.
-42, 3
Let y be (796/(-80) + 10)*24. Let d = -2442/5 - -490. Factor y*m**3 + 0 - 2/5*m**2 + 0*m + d*m**4.
2*m**2*(m + 1)*(4*m - 1)/5
Suppose 12 = -3*r + 2*i, -i + 208 - 195 = 2*r. What is s in 1/2*s**r + 1/6*s - 1/2 - 1/6*s**3 = 0?
-1, 1, 3
Determine u so that -2/7*u**2 + 0 - 20/7*u = 0.
-10, 0
Let f be ((8 - 2) + (-316)/54)*(-54)/(-12). Let t(h) be the first derivative of 1/9*h**6 + 8/15*h**5 + 0*h**2 + 0*h + 0*h**3 + 19 + f*h**4. Factor t(v).
2*v**3*(v + 2)**2/3
Let a(c) = c**2 - 26*c + 105. Let l be a(21). Factor -8*n - 4*n - 11*n**2 - 7*n + l*n + 2*n - 6.
-(n + 1)*(11*n + 6)
Let o(u) be the third derivative of 11*u**5/12 + 25*u**4/24 - 5*u**3 - 35*u**2 + 4*u. Suppose o(i) = 0. Calculate i.
-1, 6/11
Suppose -f + 16 = 4*z, -z + 2*f - 11 = -2*z. Let r(i) be the first derivative of 2 - 3/5*i**2 - 1/5*i**z - 3/5*i. Factor r(g).
-3*(g + 1)**2/5
Let b(u) = u**4 - u**3 + u - 1. Let w(m) = -8 - 6*m**2 - 6*m**4 - 6*m - 6 + 36 + 5*m**3 + m**3 - 10. Let g(a) = -8*b(a) - w(a). Suppose g(d) = 0. Calculate d.
-1, 1, 2
Let v = -4785 - -4787. Let x(k) be the first derivative of 0*k - 1/2*k**v + 5/6*k**3 - 3/8*k**4 - 10 - 1/10*k**5 + 1/12*k**6. Factor x(n).
n*(n - 1)**3*(n + 2)/2
Factor -47524/9 - 1/9*y**2 - 436/9*y.
-(y + 218)**2/9
Solve -1/7*k**3 - 296/7*k + 468/7 + 33/7*k**2 = 0 for k.
2, 13, 18
Let l(q) be the first derivative of -13/24*q**3 - 56 - 1/40*q**5 - 1/2*q - 3/16*q**4 - 3/4*q**2. Factor l(i).
-(i + 1)**2*(i + 2)**2/8
Let k(v) be the first derivative of 18*v**5/35 - 57*v**4/14 + 248*v**3/21 - 108*v**2/7 + 64*v/7 - 1593. Solve k(q) = 0.
2/3, 1, 2, 8/3
Let o(y) = -y**3 - 94*y**2 - 725*y - 1748. Let k(q) = q**3 + 101*q**2 + 725*q + 1747. Let p(i) = -2*k(i) - 3*o(i). Factor p(m).
(m + 5)**2*(m + 70)
Let b(l) = 195*l**2 - 16415*l - 502170. Let a(x) = 7*x**2 - 608*x - 18599. Let w(v) = 55*a(v) - 2*b(v). Solve w(z) = 0 for z.
-61
Let i(d) be the third derivative of -4*d**7/1155 - 3*d**6/220 + 79*d**5/165 - 18*d**4/11 - 64*d**3/33 - 987*d**2 - 2. Determine y so that i(y) = 0.
-8, -1/4, 2, 4
Let o be (-90)/((-17)/((-1496)/(-33))). Suppose 256 - o = 8*q. Factor 0 - 4/5*y**q - 16/5*y.
-4*y*(y + 4)/5
Let t(h) be the first derivative of 166 + 0*h**2 + 0*h - 4/3*h**3 - 1/6*h**4 + 2/15*h**5. Solve t(l) = 0 for l.
-2, 0, 3
Suppose -14*m - 51/2*m**2 + 0 - 7*m**4 - 3/4*m**5 + 189/4*m**3 = 0. Calculate m.
-14, -1/3, 0, 1, 4
Let l(j) be the first derivative of 2/27*j**3 - 16/9*j**2 + 40 + 40/9*j + 1/18*j**4. Let l(v) = 0. What is v?
-5, 2
Let m(y) = y**3 + 6*y**2 + 104. Let s be m(0). Let 17*c**3 - 14*c**2 + 40 - s*c + 19*c**3 - 66*c**3 + 24*c**3 + 84*c**2 = 0. Calculate c.
2/3, 1, 10
Let i = -5/1134 - 11035/69174. Let a = i - -223/244. Find w, given that 0*w + a - 3/4*w**2 = 0.
-1, 1
Determine i, given that -104/5*i + 10*i**3 + 8*i**2 + 32/5 = 0.
-2, 2/5, 4/5
Let v(j) be the first derivative of 5*j**3/12 + 1883*j**2/8 - 377*j/2 - 1092. Solve v(g) = 0.
-377, 2/5
Let d be ((-1)/(-3))/(2/26). Let o = -7447 - -22355/3. Determine y, given that -o*y - d - 1/3*y**2 = 0.
-13, -1
Let a(x) be the second derivative of x**5/20 + 31*x**4/12 + 68*x**3/3 + 78*x**2 + 176*x - 3. Factor a(i).
(i + 2)*(i + 3)*(i + 26)
Suppose -106 + 26 - 15*d**2 - 112 - 9*d + 450*d + 45*d = 0. What is d?
2/5, 32
Let i(c) be the second derivative of 0*c**2 - 29*c - 5/18*c**3 + 0 + 1/36*c**4. Suppose i(x) = 0. What is x?
0, 5
Let b be (-6)/(-81) - 15402/(-12231). Factor 4/3 + 1/3*g**2 + b*g.
(g + 2)**2/3
Let p(o) = 7*o**3 - o. Suppose z - 1 = -0. Let d be p(z). Solve 0 - 3*a + d + a - 2*a**2 + 6*a = 0 for a.
-1, 3
Let o be 4/10 + ((-78)/(-10))/3. Suppose o*s = 7*s - 16. Determine z, given that s*z**4 - z + 60*z**2 + 26*z + 28*z**3 + 11*z = 0.
-3, -1, 0
Factor -224*a + 114198 + 29664*a + 78941 - 720*a**2 - 51473 + 124574 - 5*a**4 - 175*a**3.
-5*(a - 13)*(a + 16)**3
Let g(u) be the first derivative of -99 + 1/7*u**4 + 12/7*u**2 - 20/21*u**3 + 0*u. Factor g(t).
4*t*(t - 3)*(t - 2)/7
Let f(g) = 29*g**3 - 9*g**2 - 60*g + 49. Let b(l) = 9*l - 7*l**3 - 2*l + 8*l + 0*l**3 + 2*l**2 - 12. Let s(z) = -9*b(z) - 2*f(z). Factor s(k).
5*(k - 1)**2*(k + 2)
Let r = -5403 - -108061/20. Let v(b) be the second derivative of -9/50*b**5 - r*b**4 - 24/5*b**2 + 12/5*b**3 + 0 - 26*b - 1/50*b**6. Factor v(h).
-3*(h - 1)**2*(h + 4)**2/5
Find n, given that 2/9*n**5 + 0 - 10*n**4 + 0*n - 32*n**3 + 0*n**2 = 0.
-3, 0, 48
Factor -5/7*g**2 + 8/7*g + 1/7*g**3 - 4/7.
(g - 2)**2*(g - 1)/7
Let v be 6 - ((-790)/(-40) + -14). Let k(c) be the first derivative of -v*c**4 + 1/5*c**5 - 9 + 1/6*c**6 - 1/3*c**3 + 0*c**2 + 0*c. Factor k(p).
p**2*(p - 1)*(p + 1)**2
Let s be 8 + 13/((-781950)/481203). Let r = s + 7699217/340850. Determine h so that -2/17*h**3 + 1024/17 - r*h + 48/17*h**2 = 0.
8
Let o(m) be the second derivative of -7/48*m**3 - 14 - 2*m + 3/8*m**2 + 0*m**4 + 1/160*m**5. Factor o(a).
(a - 2)*(a - 1)*(a + 3)/8
Let r(x) be the second derivative of -7/6*x**6 + 10/21*x**7 + 0*x**2 + 0*x**3 + 28*x + 0 + 0*x**4 - 1/2*x**5. Find j such that r(j) = 0.
-1/4, 0, 2
Let k(w) be the second derivative of 5/4*w**5 + 0 + 0*w**2 + 2/3*w**6 + 0*w**3 - w + 5/42*w**7 + 5/6*w**4. Factor k(p).
5*p**2*(p + 1)**2*(p + 2)
Let w(x) = -3*x + 6. Let m(j) = j - 4. Let v(z) = -6*m(z) - 3*w(z). Let o be v(-1). Factor 10/9*r**2 - 8/9*r - 2/9*r**o + 0.
-2*r*(r - 4)*(r - 1)/9
Let q(l) = 24*l**2 - 26*l - 94. Let n(x) = -2*x**3 - 5*x + 1. Let v(j) = -2*n(j) + q(j). Factor v(h).
4*(h - 2)*(h + 2)*(h + 6)
Let b(j) = -36*j**2 + 1601*j + 506. Let k(v) = -10*v**2 + 400*v + 126. Let a(p) = 4*b(p) - 15*k(p). Determine i, given that a(i) = 0.
-67, -1/3
Let p(b) be the first derivative of -b**4/12 + 2*b**2 - 20*b - 5. Let h(v) be the first derivative of p(v). Factor h(d).
-(d - 2)*(d + 2)
Suppose -5*i + 32 = -8. Let u(o) = 2*o**2 + 10*o + 3. Let v(r) = -6*r**2 - 30*r - 8. Let m(k) = i*u(k) + 3*v(k). Let m(d) = 0. What is d?
-5, 0
Let f(q) = -16*q**4 + 25*q**2 + 1139*q**3 - 2320*q**3 + 15*q + 1163*q**3 + 3. Let d(m) = 2*m**4 - 2*m**3 - m**2 - m - 1. Let y(s) = 3*d(s) + f(s). Factor y(r).
-2*r*(r - 1)*(r + 3)*(5*r + 2)
Let q be (-1)/4 - (-8292739)/(-52). Let p = q + 1119248/7. Solve -p - 972/7*n - 108/7*n**2 - 4/7*n**3 = 0 for n.
-9
Let q(l) be the second derivative of 1/105*l**7 + 143/25*l**5 + 28/75*l**6 + 0*l**2 + 2 + 135*l**3 + 42*l**4 + 206*l. What is f in q(f) = 0?
-9, -5, 0
Suppose -4*h - 4*m = -3*m + 65, -4*m = 20. Let r(d) = d**2 - d + 1. Let x(g) = -12*g**2 - 12*g - 81. Let u(l) = h*r(l) - x(l). Factor u(n).
-3*(n - 11)*(n + 2)
Let q be 13140/(-2920) + 51/6. Factor -4*c**2 + 0 + 4/5*c**q + 4/5*c**5 - 12/5*c**3 - 8/5*c.
4*c*(c - 2)*(c + 1)**3/5
Let r(s) be the second derivative of -s**7/21 - 2*s**6/3 - 19*s**5/10 + 5*s**4 - 206*s. Let r(b) = 0. What is b?
-6, -5, 0, 1
Let b be -16*(-35)/(-840)*-3. Determine v, given that 2/15*v**b - 2/3*v - 28/15 = 0.
-2, 7
Suppose -4*j - 2*a - 22 + 4 = 0, -5*j = -4*a + 42. Let k be j - 3/(21/(-56)). Suppose 2/3 - 8/15*m - 2/15*m**k = 0. Calculate m.
-5, 1
Suppose 719*t - 721*t + 2*v - 10 = 0, -5 = -v. Let j(c) be the third derivative of 0 - 1/30*c**5 + 21*c**2 + 1/4*c**4 - 2/3*c**3 + t*c. Factor j(u).
-2*(u - 2)*(u - 1)
Let w(o) be the first derivative of o**8/6720 - o**6/480 - o**5/240 + 2*o**3/3 + 14*o**2 - 42. Let t(q) be the third derivative of w(q). What is c in t(c) = 0?
-1, 0, 2
Let i be (-161)/(-21) - (-31 + 37). Let j(r) be the first derivative of 0*r**2 + 7/5*r**5 + 0*r + i*r**3 + 40 - 1/6*r**6 - 11/4*r**4. Factor j(g).
-g**2*(g - 5)*(g - 1)**2
Let u = -40147/19236 - -6/1603. Let q = -11/36 - u. Factor -8/9*k**2 + 0*k - 2/9*k**5 - 10/9*k**4 + 0 - q*k**3.
-2*k**2*(k + 1)*(k + 2)**2/9
Let s(b) = -231*b + 402. Let t be s(10). Let y be 2/(-3) - t/432. Solve 0 - y*v**2 + 5/2*v + 0*v**3 + 5/4*v**4 = 0 for v.
-2, 0, 1
Suppose 0 = 4*o + 5*z - 4 - 24, 0 = o - z + 2. Let b(c) be the third derivative of 1/15*c**4 + 1/150*c**6 + 0*c + 0*c**3 - 1/25*c**5 + 0 - 10*c**o. Factor b(n).
4*n*(n - 2)*(n - 1)/5
Let j be (-354)/13216 + (-20)/(-64). Determine s so that 0*s - j*s**3 + 0 + 4/7*s**2 = 0.
0, 2
Factor 25/6*b**2 + 5/3 - 9/2*b + 1/6*b**4 - 3/2*b**3.
(b - 5)*(b - 2)*(b - 1)**2/6
Let m(b) be the third derivative of b**6/30 - 78*b**5/5 + 923*b**4/6 - 460*b**3 + 11127*b**2. Let m(r) = 0. Wh | {
"pile_set_name": "DM Mathematics"
} |
2*p - 4, -7 = -3*w + i*p for w.
1
Let x be (-1)/((33/(-22))/(0 - -18)). Suppose -5*h = -2*h - x. Suppose -l = r + h - 7, 5*l + 5 = 0. Solve -4*g = -5*p + 6, -p = -5*p + r*g + 4 for p.
2
Let b = 32 - 29. Suppose -37 - 66 = -b*x - 2*q, -5 = 5*q. Suppose 2*u - 4*u + 6 = 0, 0 = 5*k + 5*u - x. Solve -2*j - 3*c + c - 2 = 0, 0 = c - k for j.
-5
Let f(s) = -3*s + 61. Let m be f(21). Let n be (-264)/330*5/m. Solve -2*b - 7 = -n*k + 3, -b - 2*k + 4 = 0 for b.
-2
Let g = -64 + -12. Let q = 78 + g. Solve -q - 8 = 4*w + 2*s, -w + 2*s = 0 for w.
-2
Let b(y) = -44*y - 655. Let w be b(-15). Solve 0 = 4*z - 2*d - 6 - 20, 0 = -d - w for z.
4
Let p be 6132/(-3577)*21/(-2). Solve -2*c + p = 2*f, -13 + 36 = 2*c + 3*f for c.
4
Let p(f) = -12*f**2 - 94*f + 3. Let l be p(-10). Let o = l + 262. Solve -y = 3*d - 2*y - 4, -o*d + 5*y = 0 for d.
2
Suppose 4*m + 18254 = 18274. Solve -a = -2*b - m*a - 14, -4*b + 3*a + 16 = 0 for b.
1
Suppose -35 = -7*r + 14. Let n be 2 - r/(-14)*6. Solve 0 = -3*o - 5*b - 22, -n*b - 11 = 2*o + 12 for o.
1
Suppose -578 = 2*y - 34. Let x be (1 - (-1)/3)*(-612)/y. Solve -2*c + 5*c + 12 = 0, x*g = 5*c + 35 for g.
5
Let q(n) = 7*n**2 - 3. Let d be q(2). Suppose -6*h + 4*j = -3*h - d, -j - 4 = 0. Solve s - 8 = 2*w, w + 4 = -h*s - 0*w for s.
0
Let o(d) = d - 7. Let y be o(7). Suppose 9*f - 13*f - 24 = y. Let s(l) = 2*l + 19. Let j be s(f). Solve 3*p - 14 = 2*z, -5*p - j = -2*z - 29 for p.
4
Suppose -4*t + 2 = -5*x, 0 = -t + 20*x - 18*x - 1. Solve 0 = -3*z + h + 18, 9*z - 12*z = 4*h - t for z.
5
Let x = -539 - -553. Suppose 190 = 24*l + x*l. Solve 0 = -l*p, -3*r + 0*p + 2*p = -6 for r.
2
Let v be (20/8 + -3)*-32. Let m = 16 - v. Suppose m = -3*s - a + 46, 5*a = -2*s + 6 + 16. Solve 0 = -3*r + 5*w - 34, 2*r = w + w - s for r.
-3
Suppose 0 = -2*i + z - 1, 30*z - 28*z - 6 = 0. Solve -p + 24 - 15 = -3*v, 0 = -4*v + 5*p - i for v.
-4
Let v be (-2)/14 + (-12)/14. Let r be (v - (6 + -7)) + 1*4. Solve 4*w - 10 = 2*c, -r - 10 = -4*w - 2*c for w.
3
Let c be 5/(-1) - (59 + 4)/(-9). Let l(s) = 23*s + 24. Let x be l(-1). Solve 0 = -c*a + 4*o + 3 - 1, -a + x = 2*o for a.
1
Suppose 15 = r - 4*v, 75 = 5*r + 18*v - 14*v. Solve -i + 5*k = 3*i - r, 0 = i + 5*k + 15 for i.
0
Let g(a) = -a**3 - 67*a**2 - 473*a - 59. Let s be g(-59). Solve 0 = -36*v + 40*v + 16, -j - v - 3 = s for j.
1
Let s(l) = -l**2 - 31*l - 30. Let b be s(-30). Suppose -60*y = -72*y + 84. Solve k + y = -3*m, b*m - m - 3 = 0 for k.
2
Suppose -50*c = -47*c - 27. Suppose 9*b - 195 = 4*b. Let q be (3/c)/(1/b). Solve 2*n - 4*x = 18, 5*n - 5*x - 7 - q = 0 for n.
-1
Let l be 12/54 - (-284)/18. Suppose 3*k - 2*v - 14 = 0, 2*k - 4*v - l = -k. Solve 3*d - 2*s = 3, k*d - 2 + 0 = 2*s for d.
-1
Suppose t = -0*t. Suppose 73 = 30*f - 77. Let s(u) = -u**2 + 9*u - 18. Let l be s(f). Solve 0 = 2*b - t*b, l*b = 3*o - 12 for o.
4
Suppose 0 = 2*n + 4*z + 488, -7*n + 11*n - z = -985. Let k be 38/5 + 1 + n/410. Solve 2*h + 3 = -q + k, -q = 4*h - 11 for h.
3
Let t(z) = -29*z - 167. Let j be t(15). Let x = 604 + j. Solve -x*o - 3*o + 35 = 2*a, 0 = -2*o + 10 for a.
5
Suppose -7*g + 22 = 3*b, 68 = 4*g - 2*b + 74. Solve y - 5*k = -25, -6 = 3*y - k - g for y.
0
Suppose -5496 = -537*d + 33705. Solve -11 = -w - 3*u, -2*w + 60 = -u + d for w.
-4
Suppose 263 + 1321 = 48*m. Suppose -2*a + 64 = -0*a. Suppose m*p = a*p + 3. Solve 0 = -p*u + 2*n - 5, -6 - 1 = 3*u - n for u.
-3
Let j = -2004 + 2012. Solve 5*m - j = f, m = 3*f + 7 + 3 for m.
1
Let d(q) be the first derivative of 2*q + q**2 + 202 + 2*q**2 - 214 + 2*q**2. Let j be d(1). Solve -8*u = -3*u + v + 27, 2*u + j = -v for u.
-5
Let r = -11085 - -11091. Solve 5*f = 2*q + 35, 4*q = 5*f - 51 + r for q.
-5
Let l be (-2 - 2 - -4)/(-1) - -3. Let s be 9/l*(-24)/(-18). Solve 0 = 2*j - 2*w - w - 5, -j + s = -2*w for j.
-2
Suppose 0 = -3*j + 3*w + 57, -2*w + 76 = 4*j - 6. Solve -5*d - 3*r = j, 0 = -2*d + 3*r + 18 - 5 for d.
-1
Let a(h) = h**3 + 12*h**2 + 16*h - 3. Let x be a(-11). Let m be (-58 - x)/(1 + (-2)/(-2)). Solve -3*d - 12 = 0, m = g + d - 3*d - 3 for g.
-5
Suppose -3*h - 82 = -z, -h + 317 = 4*z + 2. Suppose -4*g - 8*y + z = -3*y, 4*g + 3*y = 81. Solve -20 + 4 = -4*w - d, g = 3*w + 3*d for w.
3
Suppose -823*s = -821*s - 20. Solve -2*x = -4*b + s, -4*x - 4*b = -9 - 7 for x.
1
Let v(h) = h**2 - 8*h + 20. Let u = -144 - -148. Let x be v(u). Solve -l + 3*s + 7 = -12, 0 = x*s + 20 for l.
4
Let z = -2160 - -2160. Solve -5*m + 10 = z, -4*a + 5*m - 14 - 4 = 0 for a.
-2
Suppose -22*q + 236*q - 3424 = 0. Solve -q = 4*i, -i - 49 + 41 = 4*m for m.
-1
Suppose -73*h = -68*h - 2*x - 34, -3*h + 18 = -2*x. Solve 0 = -2*s - 5*v + 24 + 6, 0 = -4*s + 3*v + h for s.
5
Suppose 40*q = 30*q + 109*q - 891. Solve 2*h - q = -3*k, -5*h - 16*k + 11*k + 15 = 0 for h.
0
Let g(v) = -2*v**2 - 6*v - 1. Let s be g(-2). Suppose t + 43 = s*p, 5*p - 90 = 2*t - 4*t. Solve 18 = 2*l - 4*u, 2*l + 0*u - p = 3*u for l.
5
Suppose -3*l - 4*n + 2 = 0, 23 = -2*l + n + 6. Let f be l/4*(-96)/36. Solve 5*x - 3 = -3*q + 2, -f*q = 2*x - 16 for q.
5
Suppose 3*l - 4*v = 28, -162*l = -159*l - 2*v - 20. Solve l*g - 12 = -2*h, -5*g + 6*h - 10*h + 12 = 0 for g.
4
Let g be (24/9)/(78/117). Solve 20 = -g*v - 2*s, 0*v - 5 = v - 5*s for v.
-5
Suppose 6 = -2*k + 8, -26 = -7*a + 2*k. Solve -3*r = -4*b, 5*r - 16 = -a*b + 16 for r.
4
Let r(k) be the first derivative of -4*k**3/3 + k**2/2 + 5. Let o be r(1). Let m be o/(-9) - (-16)/6. Solve -z - 4*s - 3 = 0, m*s = -0*z - 2*z - 6 for z.
-3
Let u(x) = 109*x + 767. Let k be u(-7). Solve -3*q = 15, 5*q + 17 = -6*m + k*m for m.
4
Let q = 13 + -13. Suppose 21*z - 18*z - 6 = q. Let a be 176/99 - 2/(-9). Solve 5*p + 0*p + z*c = 22, a*p = 3*c + 5 for p.
4
Let s = 303 + -288. Let j(n) = n**2 - 13*n - 30. Let z be j(s). Solve 0*m - 3 = 3*q + 5*m, 4*q - 5*m + 4 = z for q.
-1
Suppose 3*j - j = 3*d - 9, -34 = -5*d - 3*j. Let s be ((-12)/54 + (-6)/(-27))/(-1). Suppose 2*l = -3*l + 100. Solve s*z - 5*z - l = -d*g, 2*z + 8 = 3*g for z.
-4
Let z be 12/(-138) - (-16110)/115. Let h be 1*(-61)/(-7) + z/490. Solve 0 = 2*t, 3*k + h - 3 = 3*t for k.
-2
Let j(g) = -17*g + 18. Let u be j(4). Let i be 23/4 + u/(-40). Solve y = -2, -5*z = 3*y + 3 - i for z.
2
Suppose 12 = 6*o - 4*o. Let h be (22/(-66))/(1/(-9)). Suppose -o*d + 42 = -h*d. Solve 6*s - 5*m + 5 = s, -s = 4*m - d for s.
2
Suppose -10 = l - 3*b, -3*l + 4*b - 16 = l. Let n be 5 - (6 - l - 4). Solve -p + 5*p - 18 = -5*q, p - 2*q + n = 0 for p.
2
Suppose -268 = -14*k + 26*a - 24*a, 24 = 4*a. Solve -6*d - 5*m - 20 = -9*d, 0 = d + 5*m + k for d.
0
Let d(n) = -14*n**3 - 783*n**2 + 56*n. Let a be d(-56). Solve a = 5*b - 2*u - u + 2, 0 = -2*b + 2*u for b.
-1
Suppose -k = 3*g - 20, 0*k - 68 = -5*k + g. Suppose -4*m - k = 22. Let a be (-8)/2*m/12. Solve -a*f + 0*w - w = -5, -5*f + 23 = -2*w for f.
3
Suppose 199*l = -98*l + 1485. Solve -4*p + 11 = -5*y - 3, 0 = -l*p + y + 28 for p.
6
Let w = 92 + -72. Suppose 5 = -4*g + 21. Suppose -m + w = g*m. Solve -2*u - 9 = u - m*h, -5*u - 3*h + 14 = 0 for u.
1
Let k(l) = -14*l - 96. Let j be k(-7). Suppose h = -j*d + 10, -4*d - h - 2 + 18 = 0. Solve -d*w = -4*q + 14, -4 = 3*w - w for q.
2
Suppose 19*t + 22 = 30*t. Solve -2*x - 2*x + t*c = 0, 3*c = 3*x - 6 for x.
-2
Let g be (-3)/((-9)/(-3)) + (-61 - -72). Solve -g = -y + 2*l, -4*y = 5*l + 158 - 159 for y.
4
Suppose 58*m = 53*m + 30. Suppose 4*v - v + 3*d = 24, -v = 2*d - m. Solve 5*k = 5*t - v, 0 = -2*t - 3*k - 11 - 10 for t.
-3
Let a(t) = 6*t**2 - 7*t. Let o be a(3). Let s = o + -29. Let l be (5/(-2))/((-2)/s). Solve -d - 14 = -3*h, 11 = l*d + 2*h + 30 for d.
-5
Let t = 245 + -48. Suppose -176 = 7*f - t. Solve -3*n + 1 = -y, 8 + f = 4*y + 3*n for y.
2
Let k(h) = -h**2 + 73*h + 1333. Let p be k(-15). Solve 0 = -t - 3*l - p, 4*t - 31*l = -29*l + 4 for t.
-1
Let h(l) = -16*l**3 - l + 2. Let f be h(-2). Let m be (-420)/f + (-6)/(-33). Let d be m/7 - 221/(-91). Solve -y + t = -3*t - 17, t - 1 = d*y for y.
-3
Let c(x) = x + 1. Let v be c(3). Let k be (1/(-4))/((-44)/176). Let n(f) = 14*f**3 - 3*f**2 + 4*f - 1. Let s be n(k). Solve r + 7 = 4*t, v*r - t = t + s for r.
5
Let x be (188/(3 + -1))/((-8)/(-4)). Suppose -67 = -5*r - j, -4*r + x = -2*j + 5*j. Solve -3*n - 12 = -5*y, -5*y + 5*n = -r - 6 for y.
0
Let v(q) = -33*q - 88. Let p be v(-10). Suppose p*c = 239*c + 48. Solve -4*o - 4*w - | {
"pile_set_name": "DM Mathematics"
} |
Let a(i) = -i**2 + i + 1. Let c(t) = 4*a(t) + k(t). Let n = 21 - 16. Let d(s) = -3*s**2 - 5. Give n*c(y) + d(y).
2*y**2
Let j(h) = h**2 + h - 1. Suppose 0 = -3*l - 32 - 1. Let c = 13 + l. Let x(q) = -6*q**2 - 5*q + 5. Calculate c*x(t) + 10*j(t).
-2*t**2
Let p(w) = -5*w**3 - 6*w**2 + 6*w - 6. Suppose -3*b + 8*b = -15. Let o be 10*(5/(-2) - b). Let s(g) = -4*g**3 - 5*g**2 + 5*g - 5. Give o*p(k) - 6*s(k).
-k**3
Let s(y) = -1 - 5*y**2 - 1 + 5*y + 2. Let x(p) = -4*p**2 + 4*p. Suppose -3*u + 4 + 5 = 0, 3*w - 4*u = 0. Give w*x(z) - 3*s(z).
-z**2 + z
Let m(v) = v + 1. Let w(n) = -4*n - 4. Determine -14*m(g) - 4*w(g).
2*g + 2
Let x = 31 - 36. Let p(n) = -n**2 + n. Let s(y) be the third derivative of y**5/10 - y**4/8 - y**3/3 - y**2. Give x*p(c) - s(c).
-c**2 - 2*c + 2
Let x = -9 - -12. Let l(c) = 6*c**2 + 16*c - 10. Let t(j) = -j**2 - 3*j + 2. What is x*l(i) + 16*t(i)?
2*i**2 + 2
Let m(h) be the second derivative of -5*h**3/6 + h**2 - 5*h. Let v(o) = -o. Determine m(p) - 6*v(p).
p + 2
Let t(z) = 15*z - 13. Let k(h) = 30*h - 27. Let s(r) = -2*k(r) + 5*t(r). Let y(f) = -8*f + 6. Calculate -6*s(j) - 11*y(j).
-2*j
Let i(p) = 11*p**3 - 2*p. Let w(a) = -a**2 + 2*a. Let j be w(2). Let d(v) = 5*v**3 - v + j + 1 - 1. Give -7*d(r) + 3*i(r).
-2*r**3 + r
Let t(m) = -17*m**3 - 9. Suppose 2*w = 2 + 4. Let u(h) = 6*h**3 - 4 + w - 2*h**3 + 3. Suppose 0 = 5*c - 3*q + 19, -2*c - 5*q = 1 - 12. What is c*t(x) - 9*u(x)?
-2*x**3
Let z(c) = -12*c**2 + 4. Let i(d) = d**2 - 1. What is -4*i(f) - z(f)?
8*f**2
Let v(b) = b**2. Let s(c) = -7*c**2 + 21*c - 2. Calculate -s(a) - 6*v(a).
a**2 - 21*a + 2
Let i(o) = -8*o**2 + 7. Let c(u) = u**2 + 2*u**2 - 4 + 5 - 3. Give 7*c(g) + 2*i(g).
5*g**2
Let g(b) = -1. Let w(k) = -k - 6. What is 5*g(y) - w(y)?
y + 1
Let b(a) = -a**2. Let r(z) = 4*z**2 + 1. Let j be (-5)/((-10)/8) - (1 + 2). Calculate j*r(l) + 5*b(l).
-l**2 + 1
Let r(f) = 3*f**2 + 3*f - 2. Let m(o) = -7*o**2 - 6*o + 4. What is -2*m(u) - 5*r(u)?
-u**2 - 3*u + 2
Let s(k) = k**2. Let l(p) be the second derivative of -3*p**5/20 - 7*p**4/12 + 34*p. Give -2*l(j) - 14*s(j).
6*j**3
Let o(w) = 2*w + 27. Let b(u) = -8*u - 109. Calculate -2*b(i) - 9*o(i).
-2*i - 25
Let p(t) = 2*t**3 - 1 + 5 + 2*t**2 - 5. Let f(g) = -g**3 - g**2 + 1. Give 5*f(i) + 3*p(i).
i**3 + i**2 + 2
Suppose 18*s + 12 = 16*s. Let y(g) = -7*g + 3. Let c(k) = 8*k - 4. Determine s*y(v) - 5*c(v).
2*v + 2
Let p(n) = 5*n + 3. Suppose 3*l - 12 = 0, -6*w + 42 = -11*w + 3*l. Let h(u) = 14*u + 9. What is w*h(y) + 17*p(y)?
y - 3
Let r(u) = u - 1. Let z(s) = 3*s**3 + 5*s - 4. What is -4*r(p) + z(p)?
3*p**3 + p
Let b(p) = -12324*p**3 + 869*p. Let y(k) = 85*k**3 - 6*k. Give -6*b(c) - 869*y(c).
79*c**3
Let y(o) = 3*o**3 + 4*o**2 - 2*o + 2. Let c(f) = -4*f**3 - 5*f**2 + 3*f - 3. Let m = 23 + -25. Let i be (6/(-4))/((-4)/(-8)). Determine i*y(k) + m*c(k).
-k**3 - 2*k**2
Let y(o) = -2*o**2 - 4*o + 3. Let t(x) = -4*x**2 - 7*x + 5. Let r = -49 - -42. Determine r*y(f) + 4*t(f).
-2*f**2 - 1
Let u(j) = 5*j. Let y be -5 + 0 + 2/2. Let g be 1/1*y/4. Let a(h) = h. Give g*u(s) + 6*a(s).
s
Let p(f) = -f + 1. Let t(b) = b - 13. What is -2*p(q) - t(q)?
q + 11
Let l(q) = -q. Let k(j) be the first derivative of -3*j**2/2 - 2*j + 30. Determine -k(v) - l(v).
4*v + 2
Let b(n) = -4*n**2 - 7*n - 5. Let l(r) = -2*r**2 - 3*r - 2. Suppose x + 5 = 2*x. Let a = 717 - 719. Determine a*b(t) + x*l(t).
-2*t**2 - t
Let h(a) = 11*a**2 - 4 - 7*a**2 + 16*a - 9*a. Let j(n) = 2*n**2 + 3*n - 2. What is 4*h(f) - 9*j(f)?
-2*f**2 + f + 2
Let i(y) = 4 - 9 + y**2 - 3*y + 3 + y. Let m(f) be the third derivative of f**5/20 - 7*f**4/24 - 7*f**3/6 - f**2. Give -7*i(s) + 2*m(s).
-s**2
Let j(v) = -8 + 50*v**2 - 51*v**2 + 2*v - 6*v. Let p = -1 - -3. Let c(l) = l + 2. Determine p*j(d) + 9*c(d).
-2*d**2 + d + 2
Let u(a) = -3*a**2 + 6*a - 2. Let m(x) = -7*x**2 + 13*x - 5. Suppose 0 = 5*i - 3*t - 20, -i + 5*t = -2 - 2. Determine i*m(l) - 9*u(l).
-l**2 - 2*l - 2
Let x be (6/(-2))/((-27)/(-36)). Let d(j) = -j**2 + j + 1. Let w(i) = -5*i**2 + 2*i + 5. Calculate x*d(p) + w(p).
-p**2 - 2*p + 1
Let l(h) = h**3 - 5*h**2 - 3*h - 4. Let d(s) = -s**3 + s**2 + s + 1. Let v be 78/18 + -6 - (-4)/6. Give v*l(n) - 3*d(n).
2*n**3 + 2*n**2 + 1
Let j(o) = 5*o**3 - 5*o**2 + 8*o. Let q(s) = -14*s**3 + 14*s**2 - 23*s. Give 17*j(f) + 6*q(f).
f**3 - f**2 - 2*f
Let d(r) = -8*r**3 - 4*r**2 - 5*r - 5. Let x(w) = -w**3 - w**2 - w - 1. What is -d(y) + 5*x(y)?
3*y**3 - y**2
Let l(v) = v**2 - 2*v - 2. Let t(j) = 3*j**2 - 5*j - 5. What is 10*l(g) - 4*t(g)?
-2*g**2
Let o(p) = 19*p**3 + 6*p**2 - 6. Let s(h) = 57*h**3 + 17*h**2 - 17. What is 17*o(k) - 6*s(k)?
-19*k**3
Let c(n) = 2*n**3 - 3*n**2 + 3*n + 3. Let t(a) = a - 1. Let h be t(4). Let g(z) = 4*z**h - 7*z**2 + 7 + 5*z - 2*z + 4*z. Determine 7*c(l) - 3*g(l).
2*l**3
Let h(p) = -3*p**3 + 6*p**2 - 2*p - 6. Let x(v) = 4*v**3 - 7*v**2 + v + 7. Determine -7*h(s) - 6*x(s).
-3*s**3 + 8*s
Let h(i) = 6 - i - 6*i - i. Let n be -8 + 2*(-1 + 2). Let y(c) = 27*c - 9*c - 17*c - 1 + 0. Determine n*y(q) - h(q).
2*q
Let n(f) = f. Let y(x) = -x - 1. Calculate -n(t) - 5*y(t).
4*t + 5
Let m(q) = 4*q + 1. Let l(s) = 4*s**2 + 5*s + 1. Let i be l(-2). Let n(d) = -9*d - 3. Determine i*m(h) + 3*n(h).
h - 2
Let z(g) = g**3 + 7*g**2 - 3. Let p(s) = -s**2 + 1. Calculate -6*p(r) - z(r).
-r**3 - r**2 - 3
Let f(w) = -w + 10. Let p = -21 - 1. Let b(m) = 3. Let n(z) = -4. Let g(q) = -7*b(q) - 5*n(q). Calculate p*g(t) - 2*f(t).
2*t + 2
Let h(q) = 2*q**3 + 5*q**2 + 6*q - 4. Let t be (0 + 2)/(-1) + (3 - -3). Let g(v) = -2*v**3 - 2*v**3 + 3*v**3 + 3 - 4*v**2 - 5*v. Determine t*g(w) + 3*h(w).
2*w**3 - w**2 - 2*w
Let j(l) = -l**2 + 5*l + 2. Let w(c) = -c**3 - 2*c**2 + 12*c - 2. Let a be w(3). Let r(i) = -3*i**2 + 14*i + 5. Determine a*j(k) + 4*r(k).
-k**2 + k - 2
Let h(z) = 9*z + 6. Let d = 19 + -10. Let y(o) = -19*o - 12. Let r(s) = d*h(s) + 4*y(s). Let q(w) = -4*w - 5. Let k = 5 - 10. Determine k*r(a) - 6*q(a).
-a
Let j(y) = 2*y**2 - 10*y + 10. Let t(g) = 2*g**2 - 9*g + 9. Let c(k) = 3*j(k) - 4*t(k). Let l(b) = b - 1. What is c(s) - 6*l(s)?
-2*s**2
Let n(y) = -4*y - 6. Let v(t) = -4*t - 5. Calculate -5*n(p) + 6*v(p).
-4*p
Let z(c) = 2*c. Let t(b) = -b + 3. Let x(a) = 2*a - 7. Let k(s) = 7*t(s) + 3*x(s). Determine 7*k(j) + 6*z(j).
5*j
Let c(s) = 3*s**2 - 7*s - 7. Let i(d) = -5*d**2 + 11*d + 11. Let x(o) = o**3 - 15*o**2 - 15*o - 11. Let v be x(16). Calculate v*i(l) + 8*c(l).
-l**2 - l - 1
Let c(k) = -k**2 + k + 1. Let u(l) = -l**3 + 3*l**2 - 3*l + 20. Give -3*c(j) - u(j).
j**3 - 23
Let h(v) = -v + 1. Suppose -u + 2*p = -5*u - 16, 0 = -4*u - 4*p - 20. Let z(g) = g - 1. Determine u*z(i) - h(i).
-2*i + 2
Let z(v) = 13*v + 2. Let f(q) = 12*q + 2. Determine 7*f(a) - 6*z(a).
6*a + 2
Let s(w) = -5*w - 3. Let o(a) = 4*a + 3. Give -3*o(m) - 2*s(m).
-2*m - 3
Let x(b) = -15*b**3 - 7*b**2 + 7*b - 15. Let k(w) = 8*w**3 + 4*w**2 - 4*w + 7. Determine -7*k(m) - 4*x(m).
4*m**3 + 11
Let x(b) = 2*b - 4. Suppose 2*k + 28 = -5*k. Let f(v) = 6*v - 11. Give k*f(t) + 11*x(t).
-2*t
Let f(g) = 2*g**3 - 2*g**2 + g. Let l = 11 + -10. Let n be f(l). Let d(a) = a + 1. Let h(c) = 2*c**2 + 4*c + 4. Determine n*h(i) - 3*d(i).
2*i**2 + i + 1
Let u(s) = -s - 6. Let b(o) = o + 5. Let v(z) = z**3 - 20*z**2 + 19*z - 6. Let h be v(19). What is h*b(l) - 5*u(l)?
-l
Let s(j) = -3*j**2 - j - 5. Let t(g) = -2*g**2 - g - 3. Suppose -3*a = 4*p + 15, 0 = -a + 2*a + p + 5. Give a*t(v) + 3*s(v).
v**2 + 2*v
Let o(k) = -3*k**2 + 3*k - 2. Let a(p) = p**2 - p. Suppose -f = -6*f + 15. Suppose -h + 1 = -j, -5*j + 12 - 49 = f*h. Let m = 6 + j. What is m*o(q) + 2*a(q)?
-q**2 + q - 2
Let w(c) = 4*c**3 + 2*c**2 - 2*c + 2. Let f(a) = 5 + 11*a**2 - 6*a**2 - 4*a - a + 9*a**3. Calculate -2*f(q) + 5*w(q).
2*q**3
Let n(z) = 14*z**2 + 6*z - 8. Let j(l) = 9*l**2 + 4*l - 5. Suppose h - 4*h = 0. Let y be h/3*(-1)/2. Suppose -s = -5 - y. Determine s*n(u) - 8*j(u).
-2*u**2 - 2*u
Let n(q) = q**2 + 3. Let g(a) = -38. Let s(u) = -13. Let z(m) = 4*g(m) - 11*s(m). Let d(f) = 5. Let p(t) = 7*d(t) + 4*z(t). Determine -n(c) - p(c).
-c**2 - 2
Let f(x) = -5*x + 6. Let n(k) = 4*k - 4. Let v(o) = o - 1. Let c(h) = -n(h) + 3*v(h). Determine 11*c(i) - 2*f(i).
-i - 1
Let q(l) = -l**2 - 8*l + 3. Let r(j) = -j**3 + 16*j**2 - j + 11. Let f be r(16). Let c(u) = u**2 + 5*u - 2. Determine f* | {
"pile_set_name": "DM Mathematics"
} |
2*h - h = -u - 34, 5*u - h = -152. Let o = 27 + u. Let d(g) = 2*g**2 + 6*g + 5. Calculate d(o).
13
Let r(c) be the first derivative of -c**7/840 - c**6/90 + c**5/60 + c**4/4 + c**3 - 25. Let i(m) be the third derivative of r(m). Calculate i(-4).
-2
Suppose -5*k + 0*k = 3*f - 3, 3*f + 3 = -3*k. Suppose -13 - 5 = -k*t. Suppose -9 = 3*g - t. Let u(m) = -14*m - 1. Determine u(g).
13
Suppose 3*k - 3 = 6, 3*k = -2*x + 15. Let l(a) = 3*a**3 + 2 + 2*a - 3*a - 3 - 2*a**x - a**2. Calculate l(-1).
-2
Let j(k) = 3*k + 1. Let a(l) = -l. Suppose 8 = -5*d + 3. Let s(i) = d*j(i) + 2*a(i). Let r = 11 + -10. Determine s(r).
-6
Let g(h) be the second derivative of 5*h**3/6 - 37*h**2/2 - 38*h. Determine g(8).
3
Let j(h) = 3*h**2 - 2*h - 1. Let s(g) = g**3 + 2*g**2 + 2*g + 1. Let p be s(-2). Let n be (4/p)/2*-3. Let v be j(n). Let i(o) = o - 7. Determine i(v).
0
Let u(q) = -2*q**2 - 26*q - 25. Let s(w) = w**2 + 13*w + 12. Let o(d) = -5*s(d) - 3*u(d). Let j(t) be the first derivative of o(t). What is j(-10)?
-7
Let y(l) = 10*l - 3. Let z(x) = -50*x + 16. Let f(s) = -11*y(s) - 2*z(s). Let t be (6 + -11)*4/5. Let q = t + 6. Determine f(q).
-19
Let b(x) = x**3 + x**2. Let m(p) = 6*p**3 + 6*p**2 + p + 7. Let q = 65 + -60. Let k(c) = q*b(c) - m(c). Suppose -3*g + g = 0. Calculate k(g).
-7
Let b(t) = -11*t - 2. Let m = -31 + 33. Let a(d) = 5*d + 1. Let g(l) = m*b(l) + 5*a(l). Calculate g(3).
10
Let d(k) be the second derivative of k**4/6 - k**3 - k**2 + 25*k. Let y(p) = p**3 + 9*p**2 - 12*p. Let u be y(-10). Suppose -7*l + 3*l = -u. Determine d(l).
18
Let z(n) = 3*n**2 - 44 - 2*n + 95 - n**3 - 50. Determine z(3).
-5
Let b(y) be the first derivative of y**7/840 - y**4/12 - 11*y**3/3 + 6. Let r(c) be the third derivative of b(c). Let q = -9 - -11. Determine r(q).
6
Let i(y) be the second derivative of y**4/12 + 5*y**3/6 - 2*y**2 + y + 57. Let k(f) = f - 2. Let o be k(8). Suppose 0 = -2*d - o - 6. Give i(d).
2
Let b(w) = -21 - w**2 + 2*w**2 - w + 9 + 5. Give b(5).
13
Let n(s) be the third derivative of s**4/24 + 31*s**3/6 - 408*s**2. Determine n(-22).
9
Let w(f) = 5*f**2 - 3*f - 1 + f - 3*f**2 + 2. Let b be (-6 - 29/(-5))*-5. Determine w(b).
1
Let j(v) = v**2 - 14*v + 35. Suppose -y - 5*y + 66 = 0. Give j(y).
2
Let r(c) = 11*c + c**3 - 163 + 0*c + 170 - 12*c**2. Determine r(11).
7
Let l(f) = -2*f - 9. Suppose -2*w - 2*a - 3*a = -27, 0 = -w + 3*a - 14. Let u be 2*-35*w/2. Let x be 14/u + (-33)/5. Calculate l(x).
5
Let t(y) be the first derivative of 3*y**2/2 - 18*y + 984. Calculate t(8).
6
Let v be 12/20*(-175)/(-21) + 4. Let l(u) = u**3 - 9*u**2 - 1. What is l(v)?
-1
Suppose 5*z + 2 = -r + 29, 0 = -2*z + 5*r + 27. Let d(j) = -j + 12. Let x(f) = f - 12. Let g = 52 + -48. Let v(a) = g*x(a) + 5*d(a). Determine v(z).
6
Let d(h) be the second derivative of h**7/840 - h**6/90 + h**5/60 + 5*h**4/24 + 7*h**3/6 - 4*h. Let l(m) be the second derivative of d(m). Calculate l(4).
13
Let k(j) = j**2 - 10*j + 11. Let y(r) = -r**2 + 3*r + 18. Suppose 106 = -4*n + 126. Let l be y(n). What is k(l)?
-5
Let f(y) = y + 10. Let m be f(-6). Suppose k - i = -3, -1 = -3*k + 5*i - m. Let o be 8/k*63/(-28). Let q(h) = h**3 - 2*h**2 - 3*h. Calculate q(o).
0
Let a(v) be the first derivative of -v**4/4 - 26*v**3/3 - 49*v**2/2 - 26*v - 234. Give a(-24).
-2
Let b(x) be the first derivative of x**4/4 + 5*x**3/3 + x**2 + 3*x - 15. Suppose -2*s = 3*s. Let q be 0 + -2 + s + -3. Give b(q).
-7
Let n(d) = 23*d + 12. Let z(x) = 8*x + 4. Let s(g) = 4*n(g) - 11*z(g). Determine s(-3).
-8
Let w be (-12)/24 - 14/(-4). Suppose -2*g = -8, -w*g + g = -2*v - 2. Let o(m) = -v*m - 2 + m**2 - 3*m**2 + 4 + m**2. Calculate o(-4).
-2
Suppose -3*g - 4*x + 0*x = 10, -5*x - 20 = 0. Let n(t) = 9*t**2 - 4*t + 1. Let q(o) = 7*o**2 - 3*o + 1. Let h(r) = -3*n(r) + 4*q(r). Calculate h(g).
5
Suppose 0 = -4*u + 3*h + 5, 15 = -u + 5*u - h. Let t(p) = -3*p**2 + 1 + u*p**2 + p**2. Determine t(1).
4
Let s be (-1 + 2)/((-1)/(-2)). Let c(h) = 5*h + s*h**2 - 9*h**2 + 11*h**2 + 2 - h**3. Give c(5).
2
Let l(m) = 7*m**3 - 3*m**2 - m + 2. Let k be 60/45 - 22/3. Let x(r) = 8*r**3 - 3*r**2 - r + 3. Let w(t) = k*x(t) + 7*l(t). Calculate w(3).
-7
Let y(p) = 0 - p**2 - 41*p + 7 + 42*p. Let h(w) = 2*w**2 - w - 15. Let z be -1 + 2/(-2)*-3. Let d(a) = z*h(a) + 5*y(a). Calculate d(4).
1
Let w = 186 - 185. Let s(k) = k**2 - 2*k - 1. Let o be s(-1). Let c(m) = -7*m**2 - o*m - 3*m + 5*m. Give c(w).
-7
Suppose -340 + 735 = 79*m. Let a(z) be the first derivative of -z**5/120 - z**4/24 - z**3/3 + 1. Let o(r) be the third derivative of a(r). Determine o(m).
-6
Suppose -5*x + 2*k - 57 = -14, -2*x - 3*k = 21. Let c = 10 + x. Let s(d) = 8*d**3 - d**2 + d - 1. Give s(c).
7
Let o be (-2)/(-3) + 560/42. Let c be (12/(-21))/((-4)/o). Let r(m) = 8*m**2 + 2*m. Let y(f) = 33*f**2 + 9*f. Let q(w) = 21*r(w) - 5*y(w). Calculate q(c).
6
Let d(n) = -n + 5. Let f(q) = 2*q - 5. Let s(i) = -6*d(i) - 5*f(i). Calculate s(5).
-25
Let i(s) be the third derivative of 1/60*s**5 - 10*s**2 + 0 + 0*s + 0*s**4 + 5/6*s**3. Determine i(4).
21
Let j(m) = m. Let b(c) = 1. Let x(s) = 3*s + 6. Let a(u) = 4*b(u) - x(u). Let r(f) = a(f) + 5*j(f). Determine r(4).
6
Let d(c) be the second derivative of c**5/60 + c**4/3 + 3*c**3/2 + 3*c**2/2 + 3*c. Let i(w) be the first derivative of d(w). Let k = -137 + 130. Give i(k).
2
Let p = 24 + 8. Suppose -c + 9*c = p. Let x(q) = -2*q - c - 6*q + q**3 + 16 + 8*q**2. Determine x(-9).
3
Let r = -28 - -30. Let x(h) = 4 - 6 + r + h. Determine x(-4).
-4
Let m(o) = o**3 - 4*o**2 + 5*o - 4. Let l = -16 - -22. Let r be (1 - l)/5 + 6. Suppose 0*x - 11 = -r*g + x, g + 3*x - 15 = 0. Determine m(g).
2
Let d(i) = i**2 + 8*i - 5. Let h(n) = 6*n - 2. Let q be h(-5). Let o = 26 + q. Determine d(o).
-17
Let p(w) be the second derivative of -w**5/20 + w**4/6 + w**3/2 + w**2 + 3*w. Let g(k) = k + 2. Let r(x) = x. Let m be r(1). Let h be g(m). Determine p(h).
2
Let n(f) be the first derivative of -2*f**2 - 3*f - 505. Determine n(-5).
17
Let o(q) = 3*q + 1. Let y = 78 - 75. Give o(y).
10
Let a(r) = -r**3 + 4*r**2 + 3*r + 3. Let l(k) = -k**3 + 6*k**2 - 7*k + 6. Let o be l(4). Suppose 3*q - o*q = -28. Let i be (0 - 8)/q + 7. Calculate a(i).
-7
Let x(r) = -r**3 - 4*r**2 + r - 5. Let n be 15 + -10 - (-2 + 12). Calculate x(n).
15
Let f(i) = i - 3*i + 1 - i. Let x be 1/((-2)/12) - -3. Let k be (9 - 6)/(x/(-2)). Determine f(k).
-5
Let f = 505/6 + -83. Let g(a) be the third derivative of 0*a + 3*a**2 + 1/12*a**4 + 0 - f*a**3. Calculate g(5).
3
Let x be ((-6)/27)/(3*1/(-27)). Let z(i) = -5*i**2 + 25 + 4*i**x - 21 - 2*i - i. Give z(-4).
0
Let k = -42 + 45. Let x(z) = 5*z**2 + z + 4*z**2 - 2*z**2 - 7 - 8*z**2 - z**k. Let t = -3 + 3. Give x(t).
-7
Let c(w) be the third derivative of 1/24*w**4 - 5/6*w**3 - 1/120*w**6 + 0*w - 5*w**2 + 0 + 0*w**5. Calculate c(0).
-5
Suppose 0 = h - 5*x + 14, -2*h + 2*x - 2 = -6. Let f(p) = h - 21*p + 8*p + 19*p + 4 - p**2. Suppose 2*y - 5*z - 4 = 0, y - 3*y + 3*z + 8 = 0. Determine f(y).
3
Let a(r) = 7*r - 43. Let h = 672 - 665. Calculate a(h).
6
Let m(w) = -2*w**3 + w**2 + 2*w + 1. Let y be m(-1). Suppose -2*x = -g - y + 4, 4*g = -x + 8. Let p(h) = -1 - h**3 + 0*h**3 + 3*h - 2*h. Calculate p(g).
-7
Suppose -4*o = -5*o + 1. Let k be (-2 - 1*-7)*o. Let w(y) = 5 + 0*y - y**2 - 2*y**2 + 3*y + 2*y**2. What is w(k)?
-5
Let n(m) = m - 4. Suppose 2*y - 12 = b, -y + 0*b + 3*b = -11. Give n(y).
1
Let i = -6 - -11. Suppose -3*d - 2*d = -a, a = -i*d. Let h(f) = 2*f + 3*f + d - 1 - 4*f. What is h(-4)?
-5
Let l(p) = -p - 1. Let o be l(3). Let a(g) = 7610*g**3 - g**2 - 3*g - 7611*g**3 - 4*g**2. Give a(o).
-4
Let i(o) be the second derivative of -2*o**3/3 + 2*o**2 - 2*o + 21. Determine i(4).
-12
Let j(u) be the second derivative of -u**5/20 + 7*u**4/12 - u**3/2 + u**2 + 12*u - 1. Determine j(7).
-19
Suppose -7*p - 45 = 116. Let h = 22 + p. Let y(s) = -8*s. Let m be y(h). Let c(j) = -j**3 + 9*j**2 - 10*j + 12. Determine c(m).
-4
Let t be 12/(-30)*5 + 3. Let i(g) = -10*g**3 + g**2 - 1. Determine i(t).
-10
Let d(f) be the third derivative of 0*f - 1/60*f**5 + 0 + 1/3*f**4 - 7/6*f**3 + 13*f**2. What is d(7)?
0
Let b(g) be the third derivative of g**7/840 - g**6/120 - g**5/40 + g**4/8 - g**3/2 - 6*g**2. Let n(w) be the first derivative of b(w). Calculate n(3).
-6
Let o(d) = d - 1 | {
"pile_set_name": "DM Mathematics"
} |
at is the greatest common divisor of n and 50?
10
Let u(k) = -19*k - 1. Let d be (-2)/3*(-3)/(-2). Let s be u(d). Suppose 3*o - s = -3. What is the greatest common factor of 25 and o?
5
Let w(z) = -z**3 + 5*z**2 + 2*z + 3. Let j be w(5). Let b = -4 - -30. What is the greatest common divisor of j and b?
13
Let x(i) = -i**2 + 20*i + 3. Let k be x(9). Suppose 3*n = -0*n - 3*r + 75, -4*n - 2*r + k = 0. Calculate the highest common divisor of n and 13.
13
Suppose 250 = 7*o - 2*o. Calculate the greatest common divisor of o and 20.
10
Suppose -8*v = -3*v - 75. Calculate the highest common factor of v and 9.
3
Let y = 7 + -4. Let z be (-6)/12 - (-31)/2. What is the greatest common factor of y and z?
3
Let u(h) = 3*h**3 - h**2 - 2*h - 3. Let t be u(-2). Let j = t - -72. Calculate the highest common factor of 5 and j.
5
Let y(s) = s**3 - 4*s**2 + s. Let n be y(5). Suppose -j = -3*j. Suppose j = v + 3*v - 24. Calculate the greatest common divisor of v and n.
6
Let c be 3/(-2 - (-29)/14). Calculate the greatest common divisor of c and 336.
42
Suppose -w + 6 = -0*w. Let n be (-6 + 0)/((-5)/15). What is the highest common factor of n and w?
6
Suppose 9 = y + 2*y. Suppose -3*s = 2*s - 30. Suppose -90 = y*c - s*c. What is the greatest common factor of c and 15?
15
Suppose 2*y - 3*y + 36 = 0. Let h be (-5)/((-210)/3784) + (-140)/1470. What is the highest common divisor of y and h?
18
Suppose 5*t - 79 = 26. Let g be (4/(-3))/(6/(-9)). Suppose -17 = -4*m + 3*c + 2, -g*c - 22 = -4*m. What is the highest common factor of t and m?
7
Let m = 19 - 41. Let l(b) = -2*b - 2. Let z be l(-6). Let t be z/((-4)/m + 0). Calculate the highest common divisor of t and 11.
11
Suppose -t + 15 = 4. What is the highest common divisor of t and 88?
11
Let v(s) = 21*s**3 + 2*s - 1. Let o be v(1). Suppose 0 = 3*c + 3*y + 2*y - 66, c - o = y. What is the highest common factor of 88 and c?
22
Let r(b) = b**2 - b + 2. Let i be r(0). Let f(m) = m**2 - 1. Let j be f(i). What is the greatest common factor of 12 and j?
3
Let o = 8 + -6. Let q be (-5 + -3)*(-5 + -3 + 7). What is the greatest common divisor of q and o?
2
Let d = 192 - 104. What is the greatest common divisor of 8 and d?
8
Suppose 2*k + 185 = 3*d, -5*k + 5*d - 210 = 260. Let f = -69 - k. Calculate the highest common factor of 70 and f.
14
Let t be 142/6 + (-3)/(-9). Calculate the highest common factor of 12 and t.
12
Let v = 44 - 40. Let p(q) = 4*q + 4. Let h be p(3). Suppose 5*z = -a + h, v*z = 3*a + a - 16. What is the highest common divisor of 18 and a?
6
Let s be (7 + -4)/(-3) - -3. What is the highest common divisor of s and 2?
2
Let g = 24 - 18. Suppose -16 = -g*p - 4. Calculate the greatest common factor of p and 16.
2
Let o be (2/3)/(6/144). Suppose 2*g = 2*n + 8, -5 = 3*g - 17. Suppose 5*j - 10 = -n*j. What is the greatest common divisor of o and j?
2
Let d = 60 - 39. What is the greatest common divisor of d and 7?
7
Suppose 0 = -6*y + 95 - 17. What is the greatest common factor of y and 247?
13
Let f = -102 + 146. Suppose f + 44 = o. Let s = -18 - -26. What is the greatest common factor of o and s?
8
Let o be 221 - (-1 - (-3 + 1)). Suppose 0*y + o = 5*y. Let m be (7/2 - 4)/((-1)/8). Calculate the highest common factor of m and y.
4
Suppose -8 = 4*p, -5*i - p - p = -1206. Suppose 3*w + t - 69 = -0*t, 100 = 4*w + 4*t. Calculate the highest common factor of w and i.
22
Let j be (276/10)/(15/50). What is the highest common divisor of 23 and j?
23
Let a be 114/(-1)*(-1)/2. Let y be 36 - (2*-2 - -2). What is the greatest common factor of y and a?
19
Let n(g) = 4*g - 2. Let c be n(3). Let o = -5 + 20. What is the greatest common factor of c and o?
5
Suppose -5*u + 3*h = -140, 4*u + 80 = 7*u - h. Let v = u + -10. Calculate the highest common factor of v and 45.
15
Let p be 73/4 - (-2)/(-8). Let v be (-3)/(p/(-75))*6. Calculate the highest common divisor of v and 15.
15
Suppose 0 = 4*d + 2*x - 12, 0*d + 6 = 2*d - 3*x. Let n = -59 - -80. What is the highest common divisor of n and d?
3
Let n(p) = -p - 3. Let b be n(-3). Suppose -4*v + 11 + 1 = b. Suppose -v*g = -o + 21, 4*g - 60 = -2*o + g. Calculate the greatest common divisor of 3 and o.
3
Let i be 4/(-18) - (-40)/18. Suppose 5*p - 2*p - 30 = 0. What is the greatest common divisor of p and i?
2
Let c(k) = -29*k**3 + k + 1. Let r be c(-1). Calculate the greatest common factor of r and 174.
29
Suppose 2*k = 5*n + 69, 4*k + 2*n + n - 125 = 0. Let l = -63 + 67. What is the greatest common divisor of k and l?
4
Suppose -227*s + 12 = -226*s. What is the highest common factor of 54 and s?
6
Suppose -878 = -4*k - c, 378 = 3*k - 5*c - 292. Let d be 4*-1*(-3 - -2). Let l be (15/d)/((-30)/(-160)). What is the greatest common factor of l and k?
20
Let k be 25/2 + (-2)/4. Suppose 12 = 4*o - 0. Let b be (24/5)/(o/60). What is the highest common divisor of k and b?
12
Suppose 74 = 5*a - 3*z, a + 5*z - 11 = 15. Suppose -376 = -2*w - 88. Calculate the greatest common divisor of a and w.
16
Suppose y = -5*d - y + 64, -5*d + 61 = 3*y. Calculate the highest common divisor of 70 and d.
14
Let f be (9/6)/3*20*3. What is the highest common factor of f and 12?
6
Let r = -19 + 32. Suppose 15 = -3*z, 3*z = -d + 1 - r. Suppose -d*p + 0 = -18. Calculate the greatest common factor of 42 and p.
6
Suppose 72 + 126 = 3*r. Calculate the greatest common divisor of r and 44.
22
Let q be 6/(-39) + 3005/13. Let y be (40 - (1 + -3))/2. Calculate the greatest common factor of q and y.
21
Let r = 12 - -42. What is the highest common factor of 6 and r?
6
Let r(j) = 4*j - 20. Let k be r(6). What is the greatest common factor of 12 and k?
4
Suppose 3 = k - 6. Let t be 8/(-6)*18*(-3)/24. What is the greatest common factor of k and t?
3
Let r be -2*(-4)/(-8)*-1. Calculate the highest common factor of 13 and r.
1
Suppose -305 = -5*g + 5*h, 8*h + 207 = 3*g + 13*h. What is the greatest common factor of g and 160?
32
Suppose -5*j + 48 = -4*j. What is the greatest common divisor of 12 and j?
12
Let m = -33 + 80. Suppose 0 = -p + m + 23. Let h = -43 - -71. What is the highest common factor of h and p?
14
Let h be (6 - 3)*19/3. Suppose -3*v + h - 1 = 0. Let d = -15 + 69. Calculate the highest common factor of v and d.
6
Let s(m) = 3*m**3 + 2*m**2 - 2*m + 1. Suppose -n + 1 = -0. Let t be s(n). Let r = 1 + 3. Calculate the greatest common divisor of t and r.
4
Suppose 0 = -5*q + 15, -3*j + 9 = q - 21. Let w(x) = 8*x + 3. Let d be w(4). Suppose j - d = -i. Calculate the greatest common divisor of i and 39.
13
Let i = -1 - -3. What is the highest common divisor of i and 6?
2
Suppose -4*g = -8*g + 96. What is the greatest common divisor of 3 and g?
3
Let y(r) = -2*r. Let l be y(-4). Suppose 4*c = -l, 5*i = -0*c + 2*c + 174. Suppose -x - x = -i. What is the greatest common factor of x and 119?
17
Let b be (12/9)/(2/(-9)). Let i = b + 13. What is the greatest common factor of 77 and i?
7
Suppose -1029 = 4*z - 3081. Calculate the highest common factor of 57 and z.
57
Suppose 4*x - 159 = p, 0*x + 2*x = -5*p + 85. What is the greatest common factor of 100 and x?
20
Let o(f) = -f**3 - f**2 + 7*f - 2. Let x be o(-5). Suppose 15 - x = -3*u. Calculate the greatest common factor of u and 4.
4
Let k be 5/(-2)*-28 + 0. Calculate the greatest common factor of 7 and k.
7
Let j(o) = o**2 - 2*o - 1. Let z be j(-3). Suppose -5*h + 119 = b + 13, -h = 3*b - 24. What is the highest common divisor of h and z?
7
Suppose 0 = 4*c - 2*c - 12. Let q(t) = t**3 - 4*t**2 + 7*t - 4. Let n be q(c). Calculate the highest common factor of n and 10.
10
Let k be (-7)/(-2)*(2 + 0). Let z = 13 - k. Let t be ((-2)/z)/(1/(-12)). What is the greatest common factor of t and 32?
4
Let x be 36/10*10/3. Suppose -2*f + 84 = -164. Suppose 5*y = 6*w - 3*w - f, -4*y = w - 64. What is the greatest common divisor of x and w?
12
Let o be (-16)/(-6)*(-6)/4. Let m(d) = d**2 + d - 1. Let i be m(o). Calculate the greatest common factor of 99 and i.
11
Let x be ((-5)/30)/(2/3)*-44. Calculate the greatest common factor of 110 and x.
11
Suppose 95 = o + 14. Suppose 3*n - 4 = 2, o = 3*b + 3*n. What is the highest common divisor of 5 and b?
5
Let y = 95 - 64. Let x = -3 + y. Calculate the greatest common factor of x and 14.
14
Let l(z) = -z**3 - 3*z**2 - 2*z - 2. Let x be l(-3). Suppose | {
"pile_set_name": "DM Mathematics"
} |
04005 rounded to zero decimal places?
15
What is -14.34517 rounded to two decimal places?
-14.35
What is -26107560 rounded to the nearest 100000?
-26100000
What is 37618.1 rounded to the nearest 100?
37600
Round -0.0000009307 to 7 decimal places.
-0.0000009
Round 4.052315 to 3 dps.
4.052
Round -13115700 to the nearest 100000.
-13100000
Round -0.00169852 to 3 decimal places.
-0.002
Round 0.000056376678 to seven decimal places.
0.0000564
What is 0.842429 rounded to 1 decimal place?
0.8
What is 6620343 rounded to the nearest 1000000?
7000000
Round -0.45325332 to four dps.
-0.4533
What is -0.00008638 rounded to 5 decimal places?
-0.00009
What is 0.000046282819 rounded to 6 decimal places?
0.000046
Round -0.5371756 to one dp.
-0.5
Round 0.0000304333 to 5 decimal places.
0.00003
What is 0.0159235 rounded to four decimal places?
0.0159
Round 0.88992618 to 4 decimal places.
0.8899
Round 2006.4025 to the nearest one hundred.
2000
Round -7867.5 to the nearest 100.
-7900
Round 0.346497 to one dp.
0.3
Round 0.875617 to three decimal places.
0.876
Round -147021.8 to the nearest ten thousand.
-150000
What is -836.2555 rounded to the nearest ten?
-840
What is -0.0002284437 rounded to 6 dps?
-0.000228
What is 9577150 rounded to the nearest ten thousand?
9580000
Round -156013.31 to the nearest one thousand.
-156000
What is 421.777 rounded to the nearest integer?
422
What is -0.12832524 rounded to 1 decimal place?
-0.1
What is -6.39973 rounded to two dps?
-6.4
What is -9.11805 rounded to one decimal place?
-9.1
Round 21861256 to the nearest 100000.
21900000
What is -94864.525 rounded to the nearest ten thousand?
-90000
What is -1040140 rounded to the nearest ten thousand?
-1040000
What is 0.002503948 rounded to six dps?
0.002504
Round -142462.48 to the nearest ten thousand.
-140000
Round 2139594000 to the nearest one million.
2140000000
Round 2067.11 to the nearest 100.
2100
What is -0.029685119 rounded to four decimal places?
-0.0297
Round 43.667514 to 2 dps.
43.67
What is -180928 rounded to the nearest one thousand?
-181000
What is -0.033101355 rounded to five decimal places?
-0.0331
Round 653.8343 to 0 decimal places.
654
What is 0.00015102451 rounded to 7 dps?
0.000151
Round 0.0001840799 to 4 decimal places.
0.0002
What is 0.165062 rounded to two decimal places?
0.17
What is -0.0000856586 rounded to 6 decimal places?
-0.000086
Round 9401.6 to the nearest ten thousand.
10000
What is 1347418 rounded to the nearest 1000?
1347000
Round 0.002528985 to four decimal places.
0.0025
What is -125625 rounded to the nearest 1000?
-126000
Round -238.7512 to the nearest one hundred.
-200
What is -184.4112 rounded to 0 decimal places?
-184
What is 138518720 rounded to the nearest ten thousand?
138520000
What is -966.38916 rounded to 1 decimal place?
-966.4
What is 35521 rounded to the nearest 10?
35520
Round -396095.5 to the nearest ten thousand.
-400000
What is 0.000131708 rounded to 6 decimal places?
0.000132
Round 2677.5648 to the nearest 10.
2680
What is 490.301 rounded to 0 dps?
490
Round 0.0923065 to 3 decimal places.
0.092
Round -224.8849 to the nearest 100.
-200
Round -0.00000881063 to 5 dps.
-0.00001
Round 146924.5 to the nearest 10000.
150000
Round -0.008801 to four dps.
-0.0088
Round 217547.73 to the nearest 1000.
218000
What is -69849.18 rounded to the nearest 10000?
-70000
What is 13.72162 rounded to zero dps?
14
What is -35037660 rounded to the nearest 1000000?
-35000000
What is -873552 rounded to the nearest 100000?
-900000
What is 0.0000303162 rounded to 5 decimal places?
0.00003
What is 136658000 rounded to the nearest 1000000?
137000000
What is 0.0000002639949 rounded to 7 decimal places?
0.0000003
Round 45881 to the nearest 100000.
0
Round -184.636 to one dp.
-184.6
What is 0.445979 rounded to one decimal place?
0.4
What is 19.7257 rounded to the nearest 10?
20
What is -1.1648056 rounded to 3 decimal places?
-1.165
What is 0.18805867 rounded to 3 dps?
0.188
Round -514.6254 to the nearest one hundred.
-500
Round -2840.65 to the nearest 100.
-2800
What is -0.00004856028 rounded to six dps?
-0.000049
What is 5.53179 rounded to one dp?
5.5
What is -697.88 rounded to 0 dps?
-698
Round -0.04171397 to 5 dps.
-0.04171
What is 0.006348824 rounded to four decimal places?
0.0063
What is -223.6105 rounded to one dp?
-223.6
Round 2922.429 to the nearest 10.
2920
What is -350.3516 rounded to the nearest one hundred?
-400
Round 16354.565 to the nearest ten.
16350
Round -0.004339086 to 3 decimal places.
-0.004
What is 24618.65 rounded to the nearest 100?
24600
Round 20440.1 to the nearest ten thousand.
20000
What is -50.4044 rounded to the nearest 10?
-50
What is -68708020 rounded to the nearest one hundred thousand?
-68700000
Round 245533000 to the nearest one hundred thousand.
245500000
What is 1971.299 rounded to the nearest 10?
1970
What is 345738.3 rounded to the nearest ten thousand?
350000
What is -0.054130367 rounded to five decimal places?
-0.05413
Round -9200.27 to the nearest 10.
-9200
What is -1.44626 rounded to 1 decimal place?
-1.4
Round 1.214245 to 1 dp.
1.2
What is -112049.3 rounded to the nearest ten thousand?
-110000
Round -1.679928 to 2 dps.
-1.68
Round 0.0006837 to 3 decimal places.
0.001
What is 15.283103 rounded to 3 decimal places?
15.283
What is 806.424 rounded to the nearest 10?
810
Round -62.1409 to the nearest 10.
-60
Round 170485.7 to the nearest 10000.
170000
What is 1422.885 rounded to the nearest 100?
1400
What is -0.159536 rounded to 2 decimal places?
-0.16
What is -2696.4071 rounded to the nearest ten?
-2700
What is 28522.7 rounded to the nearest ten thousand?
30000
What is 151947100 rounded to the nearest one hundred thousand?
151900000
What is -0.001472173 rounded to six decimal places?
-0.001472
What is 73116.46 rounded to the nearest 100?
73100
Round -2.8609 to 1 dp.
-2.9
Round 867100 to the nearest 100000.
900000
What is -0.04198553 rounded to three decimal places?
-0.042
Round 6338070 to the nearest ten thousand.
6340000
Round 38011800 to the nearest one million.
38000000
Round 0.0000007834 to 6 dps.
0.000001
What is 1.714073 rounded to the nearest integer?
2
Round 95222830 to the nearest one hundred thousand.
95200000
Round 326640.29 to the nearest 10000.
330000
Round 0.001125307 to 6 decimal places.
0.001125
Round -145.7137 to 1 dp.
-145.7
Round 8644.69 to the nearest 100.
8600
What is 539145 rounded to the nearest 100000?
500000
Round 0.00009954972 to five decimal places.
0.0001
What is -6.14966 rounded to 2 dps?
-6.15
Round 0.0006336281 to 6 decimal places.
0.000634
What is 21.662644 rounded to one dp?
21.7
What is -433893 rounded to the nearest 1000?
-434000
What is 0.17819 rounded to 3 decimal places?
0.178
What is -0.0443364 rounded to 2 dps?
-0.04
What is 4.021181 rounded to two decimal places?
4.02
What is -2781.152 rounded to the nearest 1000?
-3000
What is -0.76396 rounded to one decimal place?
-0.8
What is -0.00000142366 rounded to 7 decimal places?
-0.0000014
What is 0.7521906 rounded to 2 decimal places?
0.75
What is -0.1472086 rounded to 2 decimal places?
-0.15
What is -140381.322 rounded to the nearest ten thousand?
-140000
What is 17151470 rounded to the nearest one hundred thousand?
17200000
What is -0.0000007438857 rounded to 7 decimal places?
-0.0000007
What is -0.0008694235 rounded to 4 decimal places?
-0.0009
Round 20085260 to the nearest 100000.
20100000
What is -2147671 rounded to the nearest 100000?
-2100000
Round 1636206 to the nearest one thousand.
1636000
Round 0.000050049284 to six dps.
0.00005
Round 0.0001352993 to five decimal places.
0.00014
Round -12289180 to the nearest one hundred thousand.
-12300000
What is 1827.098 rounded to 0 decimal places?
1827
What is 28662180 rounded to the nearest 100000?
28700000
What is -2.844181 rounded to 3 decimal places?
-2.844
What is -593.226 rounded to the nearest integer?
-593
What is -0.00096696 rounded to 4 dps?
-0.001
Round -2405582000 to the nearest 1000000.
-2406000000
Round -0.0012248505 to 6 decimal places.
-0.001225
What is 0.053711 rounded to 4 decimal places?
0.0537
Round 13542.83 to the nearest one thousand.
14000
What is -0.002012221 rounded to four dps?
-0.002
Round 0.0801913 to 4 dps.
0.0802
What is -0.0007414834 rounded to 5 decimal places?
| {
"pile_set_name": "DM Mathematics"
} |
-1/59, -0.11?
-0.7
What is the closest to 0.4 in 1/3, -1/11, 4, 0.1?
1/3
Which is the closest to 2? (a) 8 (b) -3 (c) 1
c
Which is the closest to 1.1? (a) -38 (b) -3 (c) 0.2 (d) 0
c
What is the closest to -3 in 4, -0.1, -5?
-5
What is the nearest to -4 in 16, -5, 0.1, -2/5?
-5
Which is the closest to -0.1? (a) 4 (b) 1/2 (c) -5
b
Which is the nearest to 0.2? (a) -1/10 (b) -4 (c) -8/9
a
Which is the closest to -2? (a) -2 (b) 0.2 (c) -10
a
Which is the closest to 6? (a) 4/7 (b) 0.5 (c) -2.7
a
Which is the closest to 1? (a) 7 (b) -3 (c) -4 (d) 2/3
d
Which is the nearest to 5? (a) 83 (b) 2/13 (c) 0.3
c
What is the nearest to 47 in -27, -5, -1?
-1
Which is the closest to 2/5? (a) -3/5 (b) -1/8 (c) -1/2
b
Which is the closest to 1? (a) -0.01 (b) -2 (c) -3 (d) -27
a
What is the nearest to 0.2 in -1/2, -191, -3, 0.3?
0.3
Which is the closest to -0.1? (a) -0.5 (b) -2.1 (c) 190
a
Which is the closest to -1/3? (a) -4 (b) 3 (c) -0.2 (d) 1
c
Which is the nearest to -2/9? (a) 5 (b) -112 (c) 3
c
Which is the nearest to 0? (a) -2 (b) 0.05 (c) -0.2 (d) 2/11
b
Which is the nearest to -6? (a) 0 (b) -0.07 (c) -0.2
c
What is the nearest to 2/25 in 0.3, -239, -4, -2?
0.3
What is the nearest to -4 in -4/5, 29, 5?
-4/5
What is the closest to -0.1 in 1.3, -1/2, -0.4, -0.1?
-0.1
What is the closest to -1 in 102, 0, -2/5?
-2/5
Which is the nearest to 1? (a) 1/4 (b) 0 (c) 27
a
What is the nearest to -1 in -0.3, 2/13, -1/7, -1.1?
-1.1
Which is the nearest to 1? (a) -292 (b) 0 (c) 0.2
c
Which is the nearest to -2/7? (a) 1/3 (b) 3 (c) 0.067
c
What is the closest to 2 in -2, 1, 22?
1
What is the closest to -1 in -32/7, 3, 2/81?
2/81
What is the nearest to 7 in -2/9, -0.5, 3, -0.1?
3
What is the nearest to -0.2 in 0.5, 3, -3, 0.2?
0.2
Which is the nearest to 0.1? (a) 9/2 (b) 4/5 (c) -5
b
What is the closest to 0.2 in -5, 3, -2, -4?
-2
What is the nearest to 1 in -0.3, -2/7, -0.4?
-2/7
Which is the closest to -2? (a) -1/2 (b) 9 (c) 2/15 (d) -1/5
a
Which is the nearest to -0.4? (a) 2/13 (b) 2 (c) -18
a
Which is the closest to 1/3? (a) 0 (b) -0.5 (c) -1 (d) 1
a
Which is the closest to -1? (a) -3 (b) 15.4 (c) -0.3 (d) -2
c
What is the closest to 5 in -5, 1.39, -6?
1.39
What is the nearest to -1/3 in 5, -4, 0.1, -0.1?
-0.1
Which is the closest to 0? (a) 2/3 (b) -0.1 (c) -3/4 (d) -5/2
b
Which is the closest to -0.2? (a) 0 (b) 1 (c) 6
a
Which is the closest to 3? (a) -12 (b) -0.3 (c) -2/5
b
What is the closest to -5 in -3, -5, 1, 3?
-5
What is the nearest to -2 in 4, -5, 0.014, 1/2?
0.014
Which is the closest to 0? (a) -1 (b) 3/7 (c) 2
b
What is the nearest to -27 in -12, 1.1, -0.1?
-12
Which is the nearest to -4? (a) 0.4 (b) -4/3 (c) 3 (d) -0.2
b
What is the closest to 1 in -0.2, -1/10, 0.1, -1/3?
0.1
Which is the closest to 54? (a) 0.3 (b) 0.2 (c) 1/2
c
What is the closest to 2 in -5, 1, -1, -1/16?
1
What is the nearest to -3 in -0.5, -0.1, 1, -1/6?
-0.5
What is the closest to -101 in -0.3, 4/9, 3?
-0.3
What is the closest to 1 in -3, -2/9, 2/11, 12?
2/11
What is the closest to 7/4 in 5, 0.4, -1, 2?
2
What is the closest to -0.3 in 2, -2/11, 1/4?
-2/11
What is the nearest to 1 in 0.5, -8, -0.11, 0?
0.5
What is the closest to -2 in 1/9, 5, -4, -3?
-3
What is the nearest to -6 in -1/5, 0.3, -0.01?
-1/5
Which is the nearest to 37? (a) -0.3 (b) -1/3 (c) 3/5
c
What is the closest to -1 in -0.1, -2/7, -14, -2?
-2/7
What is the nearest to -2 in -1/120, -0.4, 4?
-0.4
What is the nearest to 3/2 in 0.4, -4, -3?
0.4
Which is the nearest to 2/3? (a) 0.5 (b) 0.2 (c) -0.8
a
What is the nearest to -0.1 in -2, -345, -0.3, -3?
-0.3
Which is the nearest to -0.1? (a) -12 (b) -12.7 (c) -2
c
What is the closest to -0.0067 in 2/7, -1/6, 1/3, 5?
-1/6
What is the closest to -6 in 3, 12, 3/4?
3/4
What is the nearest to 1 in -2, -33, -1/36, 3?
-1/36
What is the nearest to -2/11 in 5, 1, 2?
1
What is the nearest to -6 in 0.3, 12, 5, 0.5?
0.3
Which is the closest to 0.05? (a) -1 (b) -3 (c) -0.07 (d) -2
c
What is the closest to 2 in -0.3, 0.4, 0.1, -2?
0.4
What is the closest to -2 in 0.3, -5, -0.4, -2/9?
-0.4
What is the nearest to 1/2 in 3, -2/13, -4?
-2/13
What is the closest to 0.1 in 2/53, 8, 4/3, 5?
2/53
Which is the nearest to -6? (a) 3/8 (b) -2 (c) -7/6 (d) -1
b
Which is the closest to 2/5? (a) -3 (b) 2/11 (c) -3986
b
What is the nearest to 1/4 in -5, 0, -1?
0
Which is the nearest to 1? (a) 1921 (b) 1/4 (c) 1 (d) -3
c
Which is the nearest to 2? (a) 2/27 (b) -2/5 (c) 57
a
Which is the closest to 2/3? (a) 16 (b) -4 (c) -1/4 (d) -0.06
d
What is the closest to -4/33 in 1/3, -1/4, 2/11, -3?
-1/4
Which is the nearest to 0.1? (a) -8 (b) 5 (c) -2/7 (d) 0
d
What is the nearest to -35 in 0, -2, 0.2?
-2
Which is the nearest to -3? (a) 3 (b) -0.01 (c) -0.3
c
Which is the closest to -26? (a) -0.4 (b) -5 (c) 1
b
Which is the nearest to 0.2? (a) 2 (b) -3 (c) -13
a
Which is the closest to 0.2? (a) 3 (b) 5 (c) -1/30
c
Which is the nearest to -3/7? (a) -0.04 (b) -1/2 (c) -55 (d) 0
b
What is the nearest to -1/4 in 97, 0.2, 1/6?
1/6
Which is the closest to -0.07? (a) -2/3 (b) -4 (c) 6
a
What is the closest to 6 in -5/2, -1/7, -0.3, 1/14?
1/14
Which is the closest to 1? (a) -1 (b) -0.2 (c) 15
b
Which is the nearest to 0.19? (a) 1 (b) 7 (c) 3/4
c
Which is the nearest to 2/5? (a) 3 (b) -3/4 (c) -552
b
Which is the nearest to -1/4? (a) -0.2 (b) 230 (c) -3
a
What is the closest to 1/2 in -3, -2/3, 0.57?
0.57
Which is the closest to 0.1? (a) -2 (b) 2 (c) -30 (d) -0.2
d
Which is the closest to 0.2? (a) 4 (b) -4 (c) -0.1 (d) 9/10
c
Which is the closest to -3? (a) -10 (b) 2/11 (c) 0.1
c
What is the closest to -0.17 in -3/8, 0.1, 0?
0
What is the nearest to 0 in -25, -5, 1/5, -8?
1/5
Which is the nearest to -0.05? (a) -1 (b) -5/3 (c) 0.4
c
What is the closest to -2/9 in -0.1, -5, 0.38?
-0.1
What is the closest to -2/29 in 1/3, 3, -3, 1?
1/3
Which is the closest to 46? (a) 4 (b) 2 (c) 5
c
What is the nearest to -12/47 in 1, -3, -1/2?
-1/2
Which is the nearest to -19? (a) -0.4 (b) -0.5 (c) 0
b
Which is the closest to 0? (a) 12/5 (b) 1/2 (c) -1/4 (d) -0.03
d
What is the nearest to 2/15 in -5, 1, -0.0239?
-0.0239
What is the closest to -1 in -0.4, -5, 24, 2/11?
-0.4
Which is the nearest to 0? (a) -5 (b) 0.4 (c) 0 (d) -329
c
Which is the closest to 1/3? (a) 2 (b) 0.15 (c) 9.3
b
What is the nearest to 1 in -5/6, -0.5, -4?
-0.5
What is the closest to 2 in 9, -2/9, 0, 1?
1
Which is the closest to -0.21? (a) 2/11 (b) 0.3 (c) 5 (d) -0.02
d
What is the nearest to 33 in 0, -4/5, 4/7?
4/7
Which is the closest to 2? (a) -4 (b) -1 (c) 3/8
c
Which is the nearest to -2? (a) 2/7 (b) -11 (c) -5 (d) -1/5
d
Which is the nearest to 0? (a) 5 (b) 0 (c) 3
b
What is the closest to -32 in -2/15, 5, 2, -2/9?
-2/9
What is the closest to 4280 in 0, 5, -2/5?
5
What is the closest to -9 in -1, -3, 5, -0.4?
-3
What is the nearest to -4 in 0, -2/3, 2/29, -0.4?
-2/3
Which is the nearest to -2? (a) 3/2 (b) 2 (c) 0.5 (d) -0.3
d
What is the closest to -1 in -2/11, -1/2, -2, 44?
-1/2
What is the nearest to -6/13 in -0.1, 10, 2/7, -3?
-0.1
What is the closest to -2/5 in -2/11, 45/11, 4?
-2/11
Which is the closest to 0.8? (a) -0.2 (b) 1 (c) 53
b
What is the closest to -1 in -2/9, 0.3, -4, -0.1?
-2/9
Which is the nearest to -0.08? (a) 4 (b) 17/4 (c) -7/2 (d) -0.1
d
Which is the nearest to 0.16? (a) 1 (b) -4/7 (c) 2/13
c
What is the closest to 0 in -2, -0.1, -0.2, -1/4?
-0.1
What is the closest to -1 in -4/7, 0.086, -1/4?
-4/7
Which is the nearest to 0? (a) 9 (b) 0.3 (c) -3/2 (d) -3
b
Which is the nearest to -2? (a) 0.2 (b) 1/8 (c) -3
c
Which is the nearest to -0.2? (a) 10/9 (b) 0.5 (c) 2/7 (d) 3
c
What is the closest to 1/15 in -6/11, -2/3, -1/13?
-1/13
Which is the closest to 0? (a) -0.6 (b) 0.1 (c) 1 (d) -3
b
What is the closest to 0 in -3, 0, -0.14?
0
Which is the closest to 0.7? (a) 16 (b) 1/9 (c) -3 (d) 0
b
What is the nearest to -1 in -3, -5, 0, -1/8?
-1/8
Which is the closest to 0? (a) -3 (b) -108 (c) -1
c
Which is the closest to -1/9? (a) -1.6 (b) 3 (c) -1/4
c
What is the closest to -5/2 in 1/6, 1, -1/9, 3?
-1/9
What i | {
"pile_set_name": "DM Mathematics"
} |
932988.
2, 3, 7, 29, 383
List the prime factors of 201686.
2, 31, 3253
What are the prime factors of 293785?
5, 58757
List the prime factors of 27060999.
3, 7, 59, 21841
What are the prime factors of 31204?
2, 29, 269
What are the prime factors of 1190007?
3, 7, 13, 1453
List the prime factors of 644637.
3, 7, 30697
List the prime factors of 29612702.
2, 7, 2115193
What are the prime factors of 1931005?
5, 379, 1019
List the prime factors of 1271641.
7, 389, 467
What are the prime factors of 2432253?
3, 61, 13291
What are the prime factors of 476770?
2, 5, 7, 139
What are the prime factors of 1620332?
2, 7, 1181
List the prime factors of 1331566.
2, 665783
What are the prime factors of 220795?
5, 44159
What are the prime factors of 1288870?
2, 5, 11, 11717
List the prime factors of 473506.
2, 11, 21523
What are the prime factors of 230004?
2, 3, 6389
List the prime factors of 5300805.
3, 5, 37, 9551
What are the prime factors of 577792?
2, 37, 61
List the prime factors of 1996611.
3, 181, 3677
List the prime factors of 313712.
2, 7, 2801
What are the prime factors of 219070?
2, 5, 19, 1153
What are the prime factors of 2180399?
13, 179, 937
List the prime factors of 26326132.
2, 7, 17, 7901
List the prime factors of 1308700.
2, 5, 23, 569
List the prime factors of 389783.
389783
List the prime factors of 311192.
2, 7, 5557
What are the prime factors of 1126255?
5, 13, 17327
What are the prime factors of 1389137?
97, 14321
What are the prime factors of 2416491?
3, 7, 11, 317
What are the prime factors of 4438155?
3, 5, 295877
List the prime factors of 1811493.
3, 431, 467
What are the prime factors of 261539?
41, 6379
What are the prime factors of 12260299?
12260299
List the prime factors of 14378172.
2, 3, 31, 38651
List the prime factors of 4521627.
3, 11, 45673
What are the prime factors of 15313057?
15313057
List the prime factors of 4355675.
5, 59, 2953
What are the prime factors of 54361?
54361
What are the prime factors of 9488350?
2, 5, 189767
What are the prime factors of 4137205?
5, 17, 48673
What are the prime factors of 1326731?
7, 17, 11149
What are the prime factors of 23839?
31, 769
What are the prime factors of 4921382?
2, 907, 2713
List the prime factors of 9802876.
2, 23, 127, 839
What are the prime factors of 528864?
2, 3, 7, 787
List the prime factors of 7897527.
3, 11, 26591
List the prime factors of 387148.
2, 96787
List the prime factors of 6972785.
5, 1394557
List the prime factors of 1521120.
2, 3, 5, 3169
List the prime factors of 1255269.
3, 418423
What are the prime factors of 203190?
2, 3, 5, 13, 521
List the prime factors of 2726325.
3, 5, 7, 577
What are the prime factors of 143292?
2, 3, 11941
What are the prime factors of 8921505?
3, 5, 71, 8377
List the prime factors of 546055.
5, 109211
What are the prime factors of 3546861?
3, 1182287
List the prime factors of 14757415.
5, 2951483
What are the prime factors of 17951979?
3, 19, 47, 6701
List the prime factors of 3338878.
2, 67, 24917
List the prime factors of 367982.
2, 17, 79, 137
What are the prime factors of 852897?
3, 107, 2657
What are the prime factors of 1443142?
2, 721571
List the prime factors of 856171.
17, 50363
List the prime factors of 2535388.
2, 37, 463
List the prime factors of 784842.
2, 3, 130807
List the prime factors of 4345.
5, 11, 79
What are the prime factors of 619384?
2, 139, 557
List the prime factors of 2167613.
7, 31, 1427
List the prime factors of 16245.
3, 5, 19
What are the prime factors of 9673364?
2, 31, 181, 431
List the prime factors of 7323424.
2, 131, 1747
List the prime factors of 1129043.
1129043
What are the prime factors of 1060015?
5, 11, 19273
What are the prime factors of 1704509?
19, 283, 317
List the prime factors of 7623731.
19, 307, 1307
List the prime factors of 12860880.
2, 3, 5, 41, 1307
List the prime factors of 2014617.
3, 11, 41, 1489
What are the prime factors of 1194458?
2, 47, 97, 131
List the prime factors of 1703423.
347, 4909
List the prime factors of 225143.
225143
List the prime factors of 1876329.
3, 7, 13, 29, 79
List the prime factors of 27819.
3, 11, 281
What are the prime factors of 497214?
2, 3, 23, 1201
List the prime factors of 372804.
2, 3, 47, 661
What are the prime factors of 732493?
732493
What are the prime factors of 5881406?
2, 167, 17609
List the prime factors of 700892.
2, 137, 1279
List the prime factors of 88182.
2, 3, 23, 71
What are the prime factors of 113258?
2, 56629
What are the prime factors of 1323210?
2, 3, 5, 7, 6301
What are the prime factors of 1223049?
3, 19, 43, 499
What are the prime factors of 386427?
3, 17, 7577
List the prime factors of 5481776.
2, 397, 863
What are the prime factors of 35323?
35323
What are the prime factors of 125114?
2, 11, 47
What are the prime factors of 12430814?
2, 11, 31, 1657
List the prime factors of 10829397.
3, 3609799
What are the prime factors of 608294?
2, 17, 17891
List the prime factors of 1845392.
2, 115337
List the prime factors of 12816698.
2, 67, 101, 947
What are the prime factors of 757409?
757409
List the prime factors of 684808.
2, 85601
List the prime factors of 20564442.
2, 3, 61, 2081
What are the prime factors of 298524?
2, 3, 24877
What are the prime factors of 834847?
13, 149, 431
What are the prime factors of 23017071?
3, 7, 11, 37, 2693
What are the prime factors of 23962?
2, 11981
What are the prime factors of 173252?
2, 43313
List the prime factors of 3615445.
5, 723089
What are the prime factors of 5962387?
5962387
List the prime factors of 113645.
5, 7, 17, 191
List the prime factors of 720146.
2, 7, 51439
List the prime factors of 340385.
5, 19, 3583
List the prime factors of 12241819.
17, 23, 131, 239
What are the prime factors of 625433?
61, 10253
What are the prime factors of 494334?
2, 3, 29, 947
What are the prime factors of 377811?
3, 7, 1999
What are the prime factors of 11069643?
3, 13, 283837
What are the prime factors of 31173319?
19, 1640701
List the prime factors of 1022641.
353, 2897
What are the prime factors of 369514?
2, 47, 3931
List the prime factors of 28094.
2, 11, 1277
List the prime factors of 1697293.
13, 137, 953
What are the prime factors of 87542?
2, 7, 13, 37
List the prime factors of 57993.
3, 13, 1487
List the prime factors of 86493.
3, 11, 2621
List the prime factors of 5906209.
421, 14029
List the prime factors of 14664719.
193, 75983
What are the prime factors of 9788323?
1409, 6947
List the prime factors of 3856285.
5, 257, 3001
List the prime factors of 3238552.
2, 404819
What are the prime factors of 2132405?
5, 11, 137, 283
List the prime factors of 26218686.
2, 3, 13, 157, 2141
What are the prime factors of 14218634?
2, 7109317
What are the prime factors of 3842377?
7, 11, 139, 359
What are the prime factors of 3093939?
3, 343771
What are the prime factors of 7837047?
3, 29, 10009
List the prime factors of 352877.
7, 50411
List the prime factors of 317972.
2, 79493
What are the prime factors of 6096133?
1583, 3851
What are the prime factors of 372559?
11, 3079
What are the prime factors of 75441?
3, 25147
List the prime factors of 144742.
2, 13, 19, 293
What are the prime factors of 3680568?
2, 3, 17, 31, 97
List the prime factors of 236229.
3, 7, 1607
What are the prime factors of 113601?
3, 19, 1993
What are the prime factors of 25823539?
7, 47, 11213
List the prime factors of 23934666.
2, 3, 7, 31, 593
What are the prime factors of 8607846?
2, 3, 13, 653
What are the prime factors of 2149224?
2, 3, 7, 11, 1163
List the prime factors of 1290237.
3, 13, 33083
List the prime factors of 524577.
3, 174859
List the prime factors of 226339.
113, 2003
What are the prime factors of 907020?
2, 3, 5, 5039
What are the prime factors of 803732?
2, 67, 2999
What are the prime factors of 362383?
7, 51769
List the prime factors of 372534.
2, 3, 29, 2141
List the prime factors of 1030292.
2, 307, 839
What are the prime factors of 343503?
3, 38167
What are the prime factors of 2226740?
2, 5, 111337
What are the prime factors of 141301?
141301
List the prime factors of 16195586.
2, 11, 857, 859
What are the prime factors of 23955871?
23955871
What are the prime factors of 680489?
680489
What are the prime factors of 3754286?
2, 19, 31, 3187
What are the prime factors of 778462?
2, 38 | {
"pile_set_name": "DM Mathematics"
} |
7)/(510/(-20)))?
3
Suppose -6*s - 67 = -301. Calculate the remainder when 77 is divided by s.
38
Suppose 6*g - 2*g - 56 = 0. What is the remainder when g is divided by -5 + 45/(-18)*32/(-10)?
2
Suppose 570 = 51*j - 36*j. Calculate the remainder when 145 is divided by j.
31
Suppose -1712 = -5*r + 4*p, -2*p + 1281 = 5*r - 443. Suppose 4*j + 0*j = r. What is the remainder when j is divided by 22?
20
Let q(n) be the first derivative of -n**3/3 + n**2/2 + 3*n - 27. What is the remainder when 7 is divided by q(0)?
1
Let i = -7 + 27. Calculate the remainder when i is divided by (-4)/(-18)*((-864)/4)/(-6).
4
Suppose -y - 23 = -3*b, b - 3*b - 3*y = -19. What is the remainder when 108 is divided by b?
4
Suppose 2*q + 5*s = 7, -1 - 14 = 5*s. Suppose 0*o = -2*o + 4. Suppose -o*a + 18 = -20. What is the remainder when a is divided by q?
8
Let r(q) = -4 + 0*q - 12 + 7 + 4*q + 19. Let n be ((-6)/3)/(1/(-2)). Calculate the remainder when 103 is divided by r(n).
25
Suppose -10 = -5*r, 0 = 2*x - 4*x - 4*r + 54. What is the remainder when x is divided by 10?
3
Let o be (-50)/(-20) + 2/4. Suppose -s - g = -7, o*s + 5*g - 42 + 15 = 0. Let h(z) = -z**3 + 7*z**2 - 6*z + 9. What is the remainder when h(6) is divided by s?
1
Let d(a) = a**3 - a**2 - 3*a + 3*a + a + 7. Suppose -38*s = -29*s - 45. What is the remainder when d(0) is divided by s?
2
Suppose 3 = -2*a + 11. Suppose 2*k = 6 + 14. Calculate the remainder when k is divided by a.
2
Let k = -51 + 70. Let n = 66 + -31. What is the remainder when n is divided by k?
16
Let u(m) = -2*m**3 - 33*m**2 - 16*m + 38. Calculate the remainder when u(-16) is divided by 11.
5
Let j(t) = -67*t - 17. Calculate the remainder when 213 is divided by j(-1).
13
Let q = 6 - 1. Suppose 39 = 2*t - 47. What is the remainder when t is divided by (-3)/q - (-339)/15?
21
Let g(w) = -10*w - 305. Calculate the remainder when 5 is divided by g(-31).
0
Let w = 85 - -239. Suppose 384 = 5*m + d + 3*d, -4*m + d = -w. Let o = m - 55. What is the remainder when o is divided by 13?
12
Let p be 2/(-10) + 2/10. Suppose 0*l + 3*l - 12 = p. Suppose -l*v = -v - c - 20, -32 = -2*v - 4*c. Calculate the remainder when 29 is divided by v.
5
Suppose 106 - 392 = -13*c. What is the remainder when 324 is divided by c?
16
Let i = -58 - -61. Suppose -3*r - 9 = -2*r + 2*a, 5*a = -i*r - 22. What is the remainder when (-11)/(-3) - 4/6 is divided by r?
0
Let f(p) = -17*p - 4. Let t(m) = 34*m + 9. Let v(k) = -7*f(k) - 3*t(k). Let g be v(3). What is the remainder when 24 is divided by (3*g/(-12))/(-1)?
11
Calculate the remainder when (-3)/15 + 59792/185 is divided by 27.
26
Let k = 57 - 6. Calculate the remainder when k is divided by 19.
13
Suppose 8*n = 4 + 20. Suppose -t - n = 0, -4*t + 7*t - 13 = -2*a. What is the remainder when 19 is divided by a?
8
Let u = 2061 + -1765. What is the remainder when u is divided by 60?
56
Let b(s) = 16 + 0*s + 6*s**2 + s - 9 + s**3. Let u be b(-5). Suppose 7*v = 4*v + u. Calculate the remainder when 33 is divided by v.
6
Suppose 3*a - 11 = m + 11, 5*a - 50 = 5*m. Let u(t) = t**2 + 4*t - 2. Calculate the remainder when u(a) is divided by 6.
4
Let v = -212 - -322. What is the remainder when v is divided by 8?
6
Suppose -3*x + 2 = -4. Let g = 6135 + -6134. Calculate the remainder when x is divided by g.
0
Calculate the remainder when 92 is divided by (-84)/(-10)*(-10 - (-200)/12).
36
Let j(k) = 2*k**2 - 8*k - 16. What is the remainder when 159 is divided by j(8)?
15
Suppose 0 = -3*g + 2*g + 28. Suppose -o - 4 + 7 = 0. Let l(t) = 28*t - 1. Calculate the remainder when l(o) is divided by g.
27
Let l = -462 - -488. Calculate the remainder when l is divided by 9.
8
Suppose 6*b = 3*b + 15. Let n = b + 57. Let r(o) = 4*o. Calculate the remainder when n is divided by r(4).
14
Calculate the remainder when ((12844/39)/19)/(4/54) is divided by 74.
12
Let k(q) = -1. Let c(a) = 2*a + 24. Let d(t) = c(t) - 6*k(t). Calculate the remainder when d(7) is divided by 24.
20
Let v be (10/(-4))/(1/(-2)). Suppose 3 = -v*s + 83. What is the remainder when 126 is divided by s?
14
Suppose 198*k = 192*k + 102. Suppose -w - 5*i + 5 + 20 = 0, 2*w + 4*i - 74 = 0. Calculate the remainder when w is divided by k.
11
Suppose 13*p + 80 = 15*p. Calculate the remainder when 199 is divided by p.
39
Let u(g) = 51*g - 1. Let s be u(5). Suppose -2*l + 2*a + 2*a = -242, -a = -2*l + s. Suppose l = 2*m + m. Calculate the remainder when m is divided by 11.
10
Suppose 23*n = 6*n + 663. Calculate the remainder when n is divided by 12.
3
Let q(b) = -11*b + 26. Let d be q(4). Let t(o) = -5*o - 2. Let r be t(-2). Let g = r - d. What is the remainder when g is divided by 7?
5
Suppose -4*s = 2*k - 26, 5*s + 5 = -k + 6. Let b = -45 - -82. Calculate the remainder when b is divided by k.
16
Suppose -c + 2*g + 0 = -6, 0 = 4*c + g - 33. Suppose 0*j - c = -2*j. Suppose 148 = j*b - 104. Calculate the remainder when b is divided by 16.
15
Let s(b) = -b**3 - 8*b**2 - 10*b + 20. What is the remainder when 92 is divided by s(-6)?
4
What is the remainder when 377 is divided by 10*(-12)/(-8) + -1?
13
Let t(a) = 20*a. Let s be ((-4)/6)/((-34)/51). Suppose 0 = -5*i - 0*i - 3*d + 196, -5*i + 180 = -5*d. Calculate the remainder when i is divided by t(s).
18
Suppose 10 - 82 = -2*p. Let x = 10 - 4. Calculate the remainder when p is divided by 1 + 1 - x - -14.
6
Suppose 0 = 11*t + 82 - 225. What is the remainder when 1/2 - 123/(-2) is divided by t?
10
Suppose -7*q - 171 = -10*q. What is the remainder when q is divided by 32?
25
Let t = 38 + -42. Let l = 18 + t. Suppose 0 = f, 4*f = -0*a + a - 54. Calculate the remainder when a is divided by l.
12
Suppose -2*d - 11 = -309. What is the remainder when d is divided by 10?
9
What is the remainder when 32 is divided by 14/56 + (-105)/(-12) + 0?
5
Let d = -14 + 24. Let x = 90 + -78. Calculate the remainder when x/5*(-15 + 30) is divided by d.
6
Let o(y) = -y**3 + 3*y**2 + 3*y - 9. Let x be o(-4). Let s = 92 - x. Calculate the remainder when 2 is divided by s.
0
Let p be ((-3 - -1) + -8)/(-2). Let v = p - -22. What is the remainder when v is divided by 16?
11
Let a = -88 - -123. Let s(y) = 6 - 28 - 6 + 4*y. Calculate the remainder when a is divided by s(10).
11
Let c be (-10 + -20)*10/(-6). Let h = -42 + c. Calculate the remainder when 30 is divided by h.
6
Suppose -3*c - 2*t = -29, -9*c + 11*c - 10 = t. Calculate the remainder when 24 is divided by c.
3
Let a(n) = -n**3 - 6*n**2 - 5*n - 2. Let h be a(-6). Let u = h + -15. Suppose 4*i - 95 = 57. What is the remainder when i is divided by u?
12
Let u(r) = -r**2 - 28*r + 27. Let m = -37 + 15. Calculate the remainder when u(m) is divided by 32.
31
Calculate the remainder when 260 is divided by (-5)/((-10)/33)*216/81.
40
Suppose -l + 374 + 32 = 3*r, -5*r = -5. What is the remainder when l is divided by 2/2 + (6 - 3) + 41?
43
Let r = -376 + 581. What is the remainder when r is divided by 104?
101
Suppose -5*p + 4*q - 5 = 0, 4*q = -2*p - p + 29. Suppose 3 + 12 = p*h. Suppose -18 = -h*t + 2*t. Calculate the remainder when 13 is divided by t.
1
Let i = -184 - -218. Calculate the remainder when i is divided by 17.
0
Let k(h) = -h**3 - h**2 + h + 106. Calculate the remainder when k(0) is divided by 10.
6
What is the remainder when 16378/190 - 2/(-20)*-2 is divided by 11?
9
Let y = -451 - -461. Calculate the remainder when 105 is divided by y.
5
Suppose m + 1115 = 5*k, m - 657 = -3*k + 4*m. What is the remainder when k is divided by 45?
44
Let b(a) = -2*a**2 - 36*a - 61. Calculate the remainder when 11 is divided by b(-16).
2
What is the remainder when 198 is divided by -238*((-48)/(-216) + (-32)/63)?
62
Let g = -16 - -12. Let b be -2*2/6*-36. Let s = g + b. Calculate the remainder when s is divided by 7.
6
Suppose -3*w = 5*m - 24, 4*m = m - 2*w + 14. Let l = m + -9. What is the remainder when 107 + 1*(l + 7) is divided by 28?
27
Suppose -8 + 87 = 3*b + 2*g, 5*b - 129 = -4*g. What is the remainder when ((-18)/15)/(2/(-95)) is divided by b?
28
Let k = 0 + 3. Let m = 23 - 21. Suppose -5*u = -m*g + 13, -g - u + 2 = -1. What is the remainder when g is divided by k?
1
Suppose 3*m + 4*i - 6 = 0, 5*m - 18 = 4*m + 4*i. Calculate the remainder when 155 is divided by m.
5
Suppose 0 = 29*w + 7238 - 21709. Calculate the remainder whe | {
"pile_set_name": "DM Mathematics"
} |
st derivative of -8*y**6 - 4*y**3/3 + 427*y**2/2 + 123. Find the second derivative of b(a) wrt a.
-960*a**3 - 8
Find the third derivative of 163*u**2 - 113*u**2 - 158*u**2 - u**5 wrt u.
-60*u**2
What is the derivative of -192 + 14 - 94 + 15 - 189*m**4 - 51 wrt m?
-756*m**3
Let c(t) be the first derivative of -61*t**3/3 - 48*t - 24. What is the derivative of c(y) wrt y?
-122*y
Let r(z) be the first derivative of 17*z**4/12 - 11*z**2/2 - 15*z + 7. Let p(c) be the first derivative of r(c). What is the first derivative of p(u) wrt u?
34*u
Let v(r) = -537*r**3 - 4*r**2 + 5*r + 104. Let d(k) = 536*k**3 + 5*k**2 - 6*k - 100. Let n(z) = -5*d(z) - 6*v(z). What is the third derivative of n(c) wrt c?
3252
Let g be 16/6 + -1*12/18. Differentiate 38*v**2 - 38*v**g + 4*v**3 - 2 + v**3 wrt v.
15*v**2
What is the derivative of -1182*y + 306 + 1180*y + 397*y**2 - 1160 wrt y?
794*y - 2
Let z(i) = i**2 - 11*i + 4. Let k = -7 + 18. Let s be z(k). What is the third derivative of 6*q**2 - 3*q**4 + 0*q**s + q**2 wrt q?
-72*q
Let w(f) be the third derivative of 0 + 0*f**5 - 7*f**2 + 0*f + 5/6*f**3 + 0*f**4 + 1/60*f**6. Differentiate w(t) with respect to t.
6*t**2
Let h = 8 + 17. Suppose 2*c + o + 4*o = -h, c - 20 = 4*o. What is the derivative of x**4 - 4 + c*x**4 - 2*x**4 + 3*x**4 wrt x?
8*x**3
What is the second derivative of 23*b**5 + 7*b**5 - 8*b + 6 - 3*b**5 - 5*b**3 wrt b?
540*b**3 - 30*b
Let j be 9/12 + 63/12. Let i = j - 4. Differentiate 4 + i*f - 4*f + 3*f wrt f.
1
Let u(o) be the third derivative of 169*o**9/504 + o**5/30 - 85*o**4/24 - 22*o**2 + 4. What is the third derivative of u(i) wrt i?
20280*i**3
Let c(g) be the second derivative of 0 + 0*g**4 - 5*g + 0*g**2 - 1/10*g**5 - 5/2*g**3. What is the second derivative of c(o) wrt o?
-12*o
Let w(z) be the third derivative of -29*z**7/105 - z**5/30 - z**3 + 2*z**2 + 39*z. Find the third derivative of w(y) wrt y.
-1392*y
Let p(q) be the first derivative of -178*q**6/3 - q**5/5 - q**3 + 16*q + 76. Find the third derivative of p(k) wrt k.
-21360*k**2 - 24*k
Let z(g) be the first derivative of 83*g**2/2 - 196*g - 54. What is the derivative of z(b) wrt b?
83
Let c(y) = 40*y**2 - 5*y - 71. Let t(p) = -20*p**2 + 2*p + 35. Let n(o) = 2*c(o) + 5*t(o). What is the first derivative of n(v) wrt v?
-40*v
Let b(l) be the second derivative of -1 - 2/15*l**6 + 0*l**2 - 5/3*l**4 + 1/4*l**5 + 0*l**3 + 3*l. Find the third derivative of b(x) wrt x.
-96*x + 30
Suppose 2 - 22 = -4*a, -5*h + 85 = 5*a. Suppose 29 = -5*p - 2*i + 38, 3*i + 18 = 3*p. What is the second derivative of -12 - x**p + h - 9*x wrt x?
-6*x
What is the second derivative of 84 - 23 + 14*f + f**4 + 121*f**2 - 18 - 23 - 21 wrt f?
12*f**2 + 242
Let q = -1 + 11. What is the third derivative of q*h**5 + 0*h**3 - 100*h**2 + 0*h**3 + 90*h**2 wrt h?
600*h**2
Let x(f) = -f**2 - f - 2. Let m(h) = 14*h**2 + h - 83. Let k(y) = m(y) + x(y). Find the first derivative of k(s) wrt s.
26*s
Let u = -11 - -11. Suppose 4*z - 2 = -2*r - 0, u = -5*z + r + 6. Differentiate -g**2 - 7 + 8*g**2 + z with respect to g.
14*g
Let a(j) = -j**2 - j - 2. Let t(m) = -110*m**2 + 70. Let g(l) = 2*a(l) - t(l). Find the first derivative of g(q) wrt q.
216*q - 2
Let o(x) be the first derivative of 13*x**5/20 + x**4/3 + 14*x - 24. Let q(k) be the first derivative of o(k). Find the third derivative of q(s) wrt s.
78
Let i be 6/(-4) - 264/(-48). What is the first derivative of 39*u**i - 14 + 6 - 6 - 16*u**4 wrt u?
92*u**3
Let v(a) be the first derivative of 7*a**6/10 + 12*a**2 - 30*a - 13. Let c(s) be the first derivative of v(s). Differentiate c(u) with respect to u.
84*u**3
Let z(f) be the first derivative of -194*f**3/3 + 31*f + 22. Find the first derivative of z(u) wrt u.
-388*u
Find the second derivative of -1 + 513209*t**2 + 133*t - 640*t**4 - 513209*t**2 wrt t.
-7680*t**2
Let v(d) = 11*d**3 - 11*d**2 + 2*d. Let h(a) = 22*a**3 - 23*a**2 + 5*a. Let x = 47 - 45. Let n(k) = x*h(k) - 5*v(k). What is the third derivative of n(w) wrt w?
-66
Let i(s) = -1. Let m(j) = j + 4. Let f(x) = -6*i(x) + m(x). Let z be f(-6). Find the second derivative of -14*a**z - 10*a - 11*a + 25*a wrt a.
-168*a**2
Let r(i) be the third derivative of -73*i**4/24 - 14*i**3/3 - 51*i**2. Differentiate r(x) with respect to x.
-73
Let q(x) be the first derivative of -7*x + 5/2*x**2 - 12. Let f(o) = -5*o + 8. Let k(t) = 3*f(t) + 4*q(t). What is the first derivative of k(j) wrt j?
5
Let i be 65/26 + 2/4. What is the derivative of 0*y - 3*y**3 + 0*y - 8 - 4*y**i wrt y?
-21*y**2
Let r(y) = -y. Let m(v) = 20*v + 3. Let h(w) = -m(w) - 5*r(w). Let p(i) = -31*i - 5. Let s(x) = 13*h(x) - 6*p(x). Differentiate s(a) wrt a.
-9
Let z = 26 - 24. Let i(y) = -7*y**2 - 2*y - 16. Let g(v) = -7*v**2 - 3*v - 15. Let c(r) = z*g(r) - 3*i(r). Differentiate c(f) with respect to f.
14*f
Let n(y) be the third derivative of 43*y**7/30 + 17*y**5/60 - y**3/3 + 288*y**2. Find the third derivative of n(g) wrt g.
7224*g
Let v(u) = u**2 + 3*u - 6. Let o = 9 + -14. Let z be v(o). Differentiate z + 2*d**4 - 3 - 6 with respect to d.
8*d**3
Let s(w) = 347*w - 348*w + 0*w**2 + w**3 + 2*w**2. Let k be s(-2). Find the third derivative of 25*g - 3*g**5 - 25*g + 5*g**k wrt g.
-180*g**2
Let j(o) = o**3 - o**2 - o. Suppose -3*m + 2 = -10. Let v(f) = 14*f**3 - 4*f**2 - 21*f. Let c(x) = m*j(x) - v(x). What is the second derivative of c(w) wrt w?
-60*w
Find the third derivative of 57*n - 57*n + 3*n**3 + 48*n**2 + 9*n**3 + 66*n**2 wrt n.
72
Let b(j) be the third derivative of 39*j**5/20 + j**4/12 + 4*j**3/3 + 69*j**2. Find the second derivative of b(v) wrt v.
234
Find the second derivative of -472*p + 485*p**2 + 3 + 23*p - 3 - 71*p**2 wrt p.
828
Let b(c) be the first derivative of 0*c + 9*c**3 + 2 - 19/2*c**2. Find the second derivative of b(g) wrt g.
54
Let n(x) = -14 - 7 + 25*x + 11. Let m(c) = -24*c + 9. Let y(r) = -2*m(r) - 3*n(r). What is the first derivative of y(f) wrt f?
-27
Let z(i) = -i**2 - 11*i + 5*i**3 + 4*i**2 + 11*i. Let t(l) = -2*l**3 - l**2. Let q(c) = -5*t(c) - 3*z(c). What is the third derivative of q(y) wrt y?
-30
What is the first derivative of -68*v**2 + 274 - 394 + 40*v**2 - 544*v**2 wrt v?
-1144*v
Suppose -2*x = -4 - 2. Let q = 12 - x. Find the third derivative of 14 - 2*f**3 - 14 + 9*f**3 + q*f**2 wrt f.
42
Let z(k) be the second derivative of 11*k**6/5 + k**5/20 - 8*k**4/3 - 52*k. What is the third derivative of z(q) wrt q?
1584*q + 6
Let h(d) be the second derivative of 0*d**5 + 0*d**3 + 0*d**4 + 11/15*d**6 + 9/2*d**2 + 0 - 29*d. What is the derivative of h(r) wrt r?
88*r**3
Let o(a) be the first derivative of 13*a**6/360 + a**5/30 - 8*a**3/3 + 4. Let c(u) be the third derivative of o(u). Find the second derivative of c(n) wrt n.
26
Let p(n) be the first derivative of n**3/3 - 28*n**2 - 145*n + 150. Differentiate p(h) with respect to h.
2*h - 56
Let y(x) = -2*x**2 - 10*x - 598. Let a(j) = 2*j**2 + 2*j + 598. Let m(s) = 4*a(s) + 5*y(s). Differentiate m(w) wrt w.
-4*w - 42
Let t(z) = 0*z**3 + 6*z - 9 - z**3 + 5*z**2 + 14 + 0*z. Let n be t(6). Find the third derivative of -3*u**2 - 2*u**2 + 12*u**2 - 9*u**6 - n*u**6 wrt u.
-1680*u**3
Let x(c) be the third derivative of 5*c**9/504 + 2*c**7/35 + c**5/30 + 7*c**3 - 25*c**2. What is the third derivative of x(g) wrt g?
600*g**3 + 288*g
Suppose 0*h + 13 = 2*v - 3*h, -2*v - 5*h = 11. What is the third derivative of 8*x**6 + 11*x**6 - 4*x**v - 2*x**6 wrt x?
2040*x**3
Let r(d) = 74*d**2 - d - 225. Let x(t) = 146*t**2 - 3*t - 449. Let q(f) = -5*r(f) + 2*x(f). What is the derivative of q(s) wrt s?
-156*s - 1
Let c(q) = 616*q**4 - q**3 - q**2 + 2. Let p(n) = -2*n**4 - n**3 - 2*n**2 - 1. Let i(d) = -c(d) + p(d). What is the third derivative of i(r) wrt r?
-14832*r
Find the third derivative of -21*j**2 + 159*j**2 + 25*j**2 - 76*j**3 + j**6 wrt j.
120*j**3 - 456
Let q be ((-4)/(-8))/((-1)/(-6)). Suppose q*o - 5 = 7. What is the derivative of o*t**2 + 4 - t**3 - 2*t**3 - 4*t**2 wrt t?
-9*t**2
What is the second derivative of -2*y - 2409*y**2 + 2 - 2451*y**2 + 5079*y**2 wrt y?
438
Let m(q) = q**3 + q**2 + 1. Let k(f) = 8*f**3 + 4*f**2 + 7. Suppose 2*p - 11 = -1. Let t(g) = p*k(g) - 20*m(g). What is the first derivative of t(s) wrt s?
60*s**2
Let r be (0 - 2)/((-2)/4). Suppose 18 = r*d - 5*l, 4*d + 5*l + 0 = -2. What is | {
"pile_set_name": "DM Mathematics"
} |
5 = 175. Let u = -913 - -1635. What is the highest common factor of u and m?
38
Let c = 499 - 509. Let p(t) = t**3 + 12*t**2 - 4*t + 75. Let d be p(c). Calculate the highest common factor of d and 15.
15
Let p be (-18)/(-12)*-12 - -14 - -3*24. What is the greatest common factor of p and 3689?
17
Let i(l) = -l**2 + 2*l + 19. Let h be i(5). Suppose 2*v - 104 = -2*v + 4*c, 5*v + h*c - 94 = 0. Calculate the greatest common divisor of 2 and v.
2
Suppose 10336 = c + 135*c. Suppose 3*u = -2*u + 190. What is the highest common divisor of u and c?
38
Suppose 12*v = 18*v - 1518. Suppose 0 = -64*g + 53*g + 363. Calculate the highest common factor of g and v.
11
Let u = 284 + 472. Suppose 872 = -14*c + 19*c - 4*d, 4*d = -3*c + 472. What is the greatest common factor of u and c?
84
Suppose 4*r + 2*x - 76 = 0, 28 = -3*r - 4*x + 80. Suppose -6*s + 16 = -r. Let c be ((-27)/(-6))/((-1)/(-2)). Calculate the highest common factor of c and s.
3
Suppose -3*x - 3*a + 18 = -0*a, 0 = -x + 2*a + 6. Suppose -118 = x*i - 286. What is the highest common divisor of i and 7?
7
Suppose 259 + 291 = 50*p. What is the greatest common divisor of 209 and p?
11
Let p(r) = -r**3 - 2*r**2 + r + 2. Let v = 183 + -187. Let j be p(v). Calculate the greatest common factor of j and 130.
10
Suppose 2*x - 4*b - 13 = 9, -6*b - 24 = 0. Let l be (-35 - 1)/((-15)/20). Calculate the highest common divisor of l and x.
3
Suppose -3*v = -3*d - 29921 + 102389, -2*d + 4*v = -48302. Calculate the highest common factor of 37 and d.
37
Suppose -840 = 2*m - 7*m. Suppose -5*n + p = -297, 123 = 7*n - 5*n + p. Suppose -11*k + 3 = -10*k, -2*d + n = 4*k. What is the highest common factor of m and d?
24
Let c = 61 + -25. Let r = 50 + -54. Let l be (r/10)/((-4)/360*3). What is the highest common divisor of c and l?
12
Let x(z) = -z**3 - 7*z**2 - 2*z + 1. Let u be x(-6). Let n = u + 29. Suppose n*d + 2*d = 72. What is the highest common factor of 18 and d?
9
Let b(s) = 73*s**2 + 3*s + 2. Let y = 38 - 39. Let f be b(y). Let p(h) = 2*h - 9. Let n be p(9). What is the highest common divisor of n and f?
9
Let n = 16670 + -16649. Suppose -6*h + 2*h + 112 = 0. Calculate the highest common divisor of h and n.
7
Let u = -4773 - -6019. What is the greatest common factor of 98 and u?
14
Let x = -66 - -98. Let a = 35 - x. Let b be (-10)/105*a - 774/(-14). What is the greatest common divisor of 11 and b?
11
Let t(k) = 2*k**3 - 9*k**2 + 3*k + 4. Let s be t(4). Let x(h) = -h**3 - h**2 + 4*h + 63. Let f be x(s). What is the greatest common divisor of 21 and f?
21
Let h be (-2)/2*(2 + 4 + -37). Let v = 88 + -88. Let l be -1 - h/(-1)*(v - -1). Calculate the greatest common factor of l and 50.
10
Let y be (-12)/42 - 3754/(-7). Suppose 20123 = -75*t + 257*t - 16459. What is the greatest common divisor of t and y?
67
Suppose 629*n - 3*x - 21800 = 625*n, -5*x + 20 = 0. Calculate the greatest common divisor of 133 and n.
133
Let u = 6889 + -6695. Calculate the highest common factor of u and 10.
2
Suppose 3*w = 5*h + 144, 2*w + 4*h + 205 = 279. Let l be (-1)/2 + (-5512)/(-16). What is the highest common divisor of l and w?
43
Suppose 12*i = 10*i + 8. Let u be i/((-60)/543) - 1/(-5). Let g = 61 + u. Calculate the greatest common divisor of g and 225.
25
Suppose 4*a + a - 3*f - 624 = 0, -498 = -4*a + 3*f. Suppose 0 = -2*j - 2475 + 2529. Calculate the highest common factor of j and a.
9
Suppose 2384 = -9*m - 7*m. Let z = m + 297. Calculate the greatest common factor of 4 and z.
4
Suppose 14*i + 30 = 4*i. Let c be 1/(-3 - ((-2)/(-378) + i)). Let l = -49 - c. Calculate the greatest common divisor of l and 35.
35
Suppose 4*d - 45432 = -4*p, 4*p - 4*d = 43573 + 1811. What is the highest common factor of 88 and p?
88
Let l be -2*(-3)/(-3) - -16. Suppose -h + 105 = -w, 0 = -3*h + w - 0*w + 315. Suppose 0 = -427*y + 424*y + h. Calculate the greatest common factor of y and l.
7
Suppose 7*w - 19*w = 1920. Let x be (-1 + w/(-15))*3. Calculate the highest common factor of 551 and x.
29
Let x(b) = -17*b**2 + 598*b - 87. Let h be x(35). Suppose 0 = 4*q - 34 - 74. What is the highest common divisor of q and h?
9
Let f(n) = -n**3 - 15*n**2 + 2*n + 2. Let o be f(-15). Let w = o + 43. Let s be (-7 - w/(-2)) + (-43)/(-2). What is the greatest common factor of s and 198?
22
Let b be (0 + 3688/14)/(44/154). Let j = b + -702. What is the greatest common factor of 100 and j?
20
Let p(o) = o**3 + o + 29. Let t be p(0). Let l be -3 - -4 - (4 + -340). Let k = l + -221. What is the highest common factor of k and t?
29
Suppose 2*h = 3*r + 110, 0 = 5*h - 0*r + r - 326. Calculate the greatest common factor of 6208 and h.
64
Let t(l) = l**2 + 44*l + 199. Let h be t(-5). Let g(k) = -k - 4. Let n be g(-5). Let v be h + 34 + -3*(n + 0). What is the greatest common divisor of v and 35?
35
Let u be 30/(-12)*40936/(-35). Calculate the highest common factor of u and 1032.
172
Suppose 28*q + 2*q - 4182 = 258. What is the greatest common divisor of 7437 and q?
37
Suppose 0 = -5*l + 4*l + 16. Suppose -4*c = -0*c - l. Suppose -23*h - 1 + 34 = -13. Calculate the greatest common factor of h and c.
2
Let x be (-8 + 7)*4 + (312 - 2). What is the highest common divisor of 68 and x?
34
Suppose 0 = -271*k + 293*k - 264. Let u(i) = 2*i**2 - 4*i. Let f be u(6). Calculate the highest common divisor of k and f.
12
Let w(k) = -k**2 + 18*k - 27. Let v be w(16). Suppose -v*y = -0*y - 365. Calculate the greatest common divisor of 73 and y.
73
Let o = -36 - -64. Let b(y) = -2*y**3 + 10*y**2 + 18*y + 6. Let w = -2467 - -2473. Let n be b(w). What is the highest common divisor of o and n?
14
Suppose 4 = -13*r + 69. Suppose -9*i + 707 = -4*i + 4*s, 4*i - 582 = r*s. What is the highest common divisor of i and 44?
11
Let k = -22010 - -22310. Calculate the greatest common factor of 1308 and k.
12
Let i be (-1)/(-4) + (-1)/((-4)/(-985)). Let y = -245 - i. Calculate the greatest common factor of y and 1.
1
Suppose 0 = 100*y - 98*y + 16. Let b be 12 - (y/10)/((-8)/20). Suppose -r - 2*r + 30 = 0. What is the highest common factor of r and b?
10
Let r(z) = 2*z**3 - 2*z**2 - 77*z + 230. Let c be r(4). Let n(s) = s**3 + 4*s**2 - 6*s - 6. Let m be n(-4). What is the highest common divisor of c and m?
18
Let u(l) = -l - 52. Let g be u(9). Let r = g + 61. Suppose -3*s + 1 + 215 = r. What is the highest common divisor of s and 9?
9
Suppose 27*z = 1739 + 1825. Calculate the greatest common divisor of 132 and z.
132
Let h be (17/(-3))/((-32)/192). Let f = 292 - 153. Let x = 241 - f. Calculate the greatest common divisor of x and h.
34
Suppose -11*i = 11*i - 968. Let j be (-11)/(i/(-72)) - (3 - 0). Calculate the greatest common factor of j and 15.
15
Let s = -4721 + 4901. What is the greatest common divisor of s and 132?
12
Suppose 0 = 5*d + 374 + 106. Let a = d - -135. Let c be (-19)/(-3) + 0 + 26/a. What is the highest common factor of c and 49?
7
Let z = -132 - -222. Suppose -27 = -3*f + z. What is the highest common factor of 156 and f?
39
Let g = -37 - -45. Let d(s) = g*s + 33 - 16*s - 3*s**2 + 4*s**2 - 7. Let n be d(10). Calculate the highest common factor of n and 414.
46
Suppose -2 = k, -c - k - 19 = -98. What is the greatest common factor of c and 369?
9
Let l(y) = -2*y**3 + y**2. Let c be l(-2). Let r be 2/c*508 - 4/(-20). Let f = -48 + r. What is the greatest common factor of 27 and f?
3
Let n = 911 + -614. Suppose 176 = -289*r + n*r. What is the greatest common factor of 14 and r?
2
Let v be 2/(-5) + 34/10. Suppose v*n - 147 = -18. Suppose -3*h - n = -163. What is the highest common divisor of 16 and h?
8
Suppose -789 = -20*o + 2071. Suppose -473 = -14*h + o. Calculate the greatest common factor of 198 and h.
22
Suppose -2*g + 0*g = 2*g. Suppose -4*v - 3*c + 188 = -124, g = -5*c - 20. What is the highest common divisor of v and 27?
27
Suppose -5*a + 28 = 2*j + 7, -17 = -3*a + j. Suppose 0 = -5*u - 2*y + 157, -a*u = -5*y - 123 - 62. What is the greatest common divisor of u and 77?
11
Let u be (522/464*(-36)/1)/(1/(-8)). Calculate the highest common factor of u and 228.
12
Let a = -567 + 567. Suppose a = 175*m - 178*m + 15. Suppose -7*p = -4*p - 30. What is the greatest common divisor of p and m?
5
Let v be (50/(-45))/5 - ((-11622)/54 - 1). What is the greatest common factor of 270 and v?
54
Let h | {
"pile_set_name": "DM Mathematics"
} |
14, what is -2cc + -1a5?
-493
In base 5, what is 11011423 + -10?
11011413
In base 16, what is 1 + -2c288?
-2c287
In base 15, what is -bd + 2dd?
220
In base 3, what is 10010110 + 10102?
10020212
In base 10, what is -30 + -50132?
-50162
In base 12, what is -a - 2260?
-226a
In base 7, what is -2421 - -26?
-2362
In base 11, what is 2206 - 1?
2205
In base 11, what is -4257 - -1?
-4256
In base 9, what is 636626 + 0?
636626
In base 12, what is 201 + -11a0?
-b9b
In base 13, what is 520ba - 4?
520b6
In base 3, what is 11 - 111120211?
-111120200
In base 10, what is -1 - 7895?
-7896
In base 14, what is b6b6 - 2?
b6b4
In base 10, what is 19882 + 1?
19883
In base 11, what is -1174653 - -5?
-1174649
In base 15, what is -5 + -1c620?
-1c625
In base 7, what is -5 - 212246?
-212254
In base 15, what is -9e14 + 7?
-9e0c
In base 2, what is -10100011 - -110010011?
11110000
In base 13, what is 2c - -3c7?
426
In base 6, what is 10502 + 5?
10511
In base 2, what is 1011011110001110010 + 101?
1011011110001110111
In base 6, what is 4 - 3301020?
-3301012
In base 4, what is -230 - 30201220?
-30202110
In base 3, what is 10221122211 + 10?
10221122221
In base 2, what is 1001001010000 + 11?
1001001010011
In base 5, what is -341441 - -30?
-341411
In base 3, what is -122200 + -1002011?
-1201211
In base 16, what is -12b7 + -b?
-12c2
In base 10, what is 1782 + -490?
1292
In base 14, what is -100 + d6b?
c6b
In base 16, what is 12dc - 5?
12d7
In base 3, what is 21022210121121 + -2?
21022210121112
In base 6, what is -3 - -1551512?
1551505
In base 3, what is -1210010102 + 10?
-1210010022
In base 4, what is 2033200 + -120?
2033020
In base 2, what is 1011011011 - -10101001?
1110000100
In base 5, what is -113 + -234314?
-234432
In base 14, what is -941b - 1?
-941c
In base 9, what is -15 - 2305?
-2321
In base 6, what is 2032 - 4?
2024
In base 10, what is -147042 - 9?
-147051
In base 4, what is -1 + 212211131?
212211130
In base 12, what is 2 + 47102?
47104
In base 6, what is 1045 + -10330?
-5241
In base 13, what is -371 + 1cc2?
1951
In base 3, what is 11010021 - 1201?
11001120
In base 10, what is 2 - -385501?
385503
In base 3, what is -121 + -1221212?
-1222110
In base 8, what is 23214 - -10?
23224
In base 16, what is -166b5 - 1?
-166b6
In base 5, what is -120404 + -44?
-121003
In base 6, what is 0 - -2551340?
2551340
In base 7, what is -3626 + -23?
-3652
In base 8, what is 17 - 13327?
-13310
In base 2, what is 0 - 11100001000110001?
-11100001000110001
In base 2, what is 11100101010010 - 0?
11100101010010
In base 7, what is 1502 + 4135?
5640
In base 3, what is -11101122 + -10?
-11101202
In base 15, what is -38b - -1d?
-36d
In base 11, what is 32 - -531?
563
In base 8, what is 4 - 55037?
-55033
In base 6, what is -30250042 + 4?
-30250034
In base 8, what is 3652477 - 1?
3652476
In base 2, what is -1110 + 11011001001111010?
11011001001101100
In base 15, what is -126e0 + d?
-126d2
In base 3, what is 1012100122 + -121?
1012100001
In base 5, what is 142 - 2140134?
-2134442
In base 9, what is -12 - 557055?
-557067
In base 7, what is 351 - -230?
611
In base 3, what is 122201112210 - -1?
122201112211
In base 5, what is 21 + 104212?
104233
In base 15, what is -4 + -90c?
-911
In base 9, what is 8 - 81865?
-81856
In base 9, what is 4042 + -13?
4028
In base 15, what is -5 - -10c14?
10c0e
In base 16, what is 3990 + -27?
3969
In base 2, what is 101110010100111110110 - 100?
101110010100111110010
In base 4, what is -11 - 3300131010?
-3300131021
In base 9, what is -24357 + 36?
-24321
In base 5, what is 3204 - -111?
3320
In base 5, what is 0 - 2303430?
-2303430
In base 10, what is 70 - -6566?
6636
In base 8, what is -33667 - -5?
-33662
In base 13, what is -ac3 + -182?
-c75
In base 6, what is -13432 + -353?
-14225
In base 13, what is -2782a - 8?
-27835
In base 3, what is 101 + 22001022021?
22001022122
In base 13, what is 47c - -45a?
909
In base 2, what is 1001101000001011 - 10110?
1001100111110101
In base 13, what is -27b - 7b5?
-a63
In base 6, what is -1 - 244?
-245
In base 15, what is 331a - -2?
331c
In base 2, what is 10111001010010111 - 100?
10111001010010011
In base 15, what is 19790d - 4?
197909
In base 16, what is -a5f + 2dc?
-783
In base 15, what is 3845 + 12?
3857
In base 5, what is -13 - -103331121?
103331103
In base 4, what is 0 - -1003321031?
1003321031
In base 10, what is -4860 + -33?
-4893
In base 9, what is 38475 + -13?
38462
In base 3, what is 1110011 + 1101001?
2211012
In base 9, what is -4 - -156105?
156101
In base 12, what is 477 - 1a7?
290
In base 9, what is -5 + -188425?
-188431
In base 3, what is 11 + -201110?
-201022
In base 3, what is 2 + 11010020100?
11010020102
In base 4, what is -1303103013 + 10?
-1303103003
In base 3, what is 1 + -11022202121?
-11022202120
In base 13, what is -33 - -8ab?
878
In base 7, what is 463 + -45001?
-44205
In base 12, what is 163 + -6a8?
-545
In base 4, what is 2121132 + 1?
2121133
In base 15, what is -6 - -2c8b?
2c85
In base 9, what is 6732 + 38?
6771
In base 7, what is -1616 - -24?
-1562
In base 6, what is -1114 - 1340?
-2454
In base 5, what is 20 - 12304?
-12234
In base 6, what is -240115 + 213?
-235502
In base 11, what is -5 - -846823?
846819
In base 6, what is -30204332 + -5?
-30204341
In base 13, what is -2 + 16b5c2?
16b5c0
In base 11, what is -507922 + 4?
-507919
In base 16, what is 1754f + 3?
17552
In base 14, what is 66 - 4332?
-42aa
In base 16, what is 178 - -11af?
1327
In base 11, what is -1777a + 0?
-1777a
In base 4, what is 10 - -2123103?
2123113
In base 2, what is -110000101000 + 11000110000?
-10111111000
In base 13, what is -1 - -423c2?
423c1
In base 12, what is 42 + -213b5?
-21373
In base 8, what is -11262030 + -4?
-11262034
In base 13, what is 32 - 396?
-364
In base 11, what is 499 + -10?
489
In base 5, what is 1140 + 144231?
200421
In base 13, what is -170 + 53?
-11a
In base 2, what is -101100011 - 10?
-101100101
In base 5, what is -3 + 432321?
432313
In base 8, what is -4 - -107577?
107573
In base 7, what is 1104 + 114?
1221
In base 11, what is -805483 - -2?
-805481
In base 13, what is -4 + 335a40?
335a39
In base 16, what is -185 - -22?
-163
In base 15, what is 1a3 - 61?
142
In base 5, what is 4 + -230203434?
-230203430
In base 3, what is 2 - -112200010020?
112200010022
In base 8, what is 6740 - -107?
7047
In base 11, what is -30 + -6276?
-62a6
In base 10, what is -9432481 - 1?
-9432482
In base 9, what is 2 - 646?
-644
In base 5, what is 4402032 - 10?
4402022
In base 4, what is -1032 - 2012120?
-2013212
In base 13, what is 45 + 336a?
33b2
In base 14, what is -29117 + -13?
-2912a
In base 12, what is -5 - 20558?
-20561
In base 8, what is 1522 + 305?
2027
In base 12, what is 4 + 1a8a4?
1a8a8
In base 2, what is -11100110110101111 - 100110?
-11100110111010101
In base 14, what is -68 - 909?
-973
In base 10, what is -4 - -1195?
1191
In base 3, what is 101221 + -1020122?
-211201
In base 4, what is 312011 - -1223?
313300
In base 7, what is -150460 - 24?
-150514
In base 16, what is -237 - 2e?
-265
In base 15, what is b03 - 2c9?
829
In base 12, what is -171 + -3b02?
-4073
In base 11, what is 1438 - -385?
1812
In base 2, what is 101110001 + 11111101?
1001101110
In base 8, what is 32165 + 4?
32171
In base 11, what is 1 - 116134?
-116133
In base 12, what is 93b + -44b?
4b0
In base 11, what is -2a211 + -25?
-2a236
In base 8, what is 262042 - -2?
262044
In base 11, what is 31250 + 2?
31252
In base 6, what is -215 - -40?
-135
In base 4, what is -12 - 32223?
-32301
In base 11, what is -97 - 396?
-482
In base 13, what is 2887 + 4?
288b
In base 9, what is 72 - 11702?
-11620
In base 3, what is 12 + -10201111122?
-10201111110
In base 4, what is -333331003 + 10?
-333330333
In base 14, what is b + -10266?
-10259
In base 16, what is -9 - dc0d?
-dc16
In base 11, what is 66 - -468?
523
In base 7, what is -326435 + 35?
-326400
In base 10, what is 242888 - -1?
242889
In base 13, what is 2a1b + -1c?
29cc
In base 11, what is -a87 + -112?
-1099
In base 10, what is 101 + -222?
-121
In base 14, what is -769 + 263?
-506
In base 3, what is 10 + -221110011?
-221110001
In base 6, what is 3202 + -140?
3022
In base 6, what is 3404354 + -31?
3404323
In base 12, what is -6823 + 8?
-6817
In base 9, what is 111 + -13325?
-13214
In base 11, what is -3 - -10117a?
101177
In base | {
"pile_set_name": "DM Mathematics"
} |
und 0.00417 to 2 dps.
0
Round -10960 to the nearest one thousand.
-11000
Round 831350 to the nearest ten thousand.
830000
What is -36970 rounded to the nearest 1000?
-37000
What is -85535 rounded to the nearest 1000?
-86000
What is 0.0332 rounded to three decimal places?
0.033
Round -468 to the nearest 10.
-470
What is 0.013112 rounded to four decimal places?
0.0131
Round 0.163012 to 2 decimal places.
0.16
What is -10350000 rounded to the nearest 100000?
-10400000
What is 3.044 rounded to 1 dp?
3
What is 1.412 rounded to 2 decimal places?
1.41
Round -1144000 to the nearest 10000.
-1140000
Round 33440000 to the nearest one million.
33000000
Round 241.8 to the nearest 10.
240
Round -0.000248 to four decimal places.
-0.0002
What is -0.06543 rounded to 2 decimal places?
-0.07
What is 18.02 rounded to the nearest 10?
20
Round 1.308 to 1 decimal place.
1.3
What is 0.0000022408 rounded to seven dps?
0.0000022
What is 5.271 rounded to 2 decimal places?
5.27
What is -4.68 rounded to zero decimal places?
-5
Round 0.091852 to three decimal places.
0.092
What is -0.000004436 rounded to 7 decimal places?
-0.0000044
What is -0.00002791 rounded to 6 decimal places?
-0.000028
Round -2249 to the nearest 100.
-2200
Round -0.0000865 to 5 decimal places.
-0.00009
What is -121.861 rounded to the nearest 10?
-120
Round 2118.3 to the nearest ten.
2120
What is 0.0318 rounded to three dps?
0.032
Round -870000 to the nearest ten thousand.
-870000
What is 0.0000244933 rounded to seven decimal places?
0.0000245
Round -0.0000024287 to 6 decimal places.
-0.000002
Round 0.0008317 to five decimal places.
0.00083
What is 0.000052926 rounded to seven decimal places?
0.0000529
Round 6451 to the nearest one thousand.
6000
What is -3440000 rounded to the nearest one million?
-3000000
What is 0.026038 rounded to two decimal places?
0.03
Round 0.005482 to four decimal places.
0.0055
Round -1460 to the nearest 10000.
0
What is 0.00011174 rounded to five dps?
0.00011
Round 0.00958 to 3 dps.
0.01
What is -0.00022489 rounded to 5 decimal places?
-0.00022
Round -308300 to the nearest 100000.
-300000
Round -297000 to the nearest 100000.
-300000
What is -706.7 rounded to the nearest one hundred?
-700
What is 0.0012525 rounded to five decimal places?
0.00125
What is -388700 rounded to the nearest one million?
0
What is -101179 rounded to the nearest one thousand?
-101000
What is -630.91 rounded to the nearest 10?
-630
What is 29.044 rounded to 1 dp?
29
What is 246.01 rounded to 0 decimal places?
246
Round -0.2856 to 2 decimal places.
-0.29
Round 564.1 to the nearest one hundred.
600
What is 131.02 rounded to the nearest integer?
131
Round 10750000 to the nearest 1000000.
11000000
What is 0.001958 rounded to 3 decimal places?
0.002
What is 0.0000001313 rounded to seven decimal places?
0.0000001
What is 0.4754 rounded to one dp?
0.5
Round 0.000069823 to 6 decimal places.
0.00007
Round 0.000643 to five decimal places.
0.00064
Round 1855700 to the nearest 100000.
1900000
Round 23873 to the nearest 100.
23900
Round -1530 to the nearest one thousand.
-2000
What is -3084000 rounded to the nearest one hundred thousand?
-3100000
Round -0.34943 to one decimal place.
-0.3
Round 0.000007262 to 6 dps.
0.000007
Round -0.002615 to four dps.
-0.0026
Round -0.03038 to 3 decimal places.
-0.03
What is -1260000 rounded to the nearest 100000?
-1300000
Round -0.316 to the nearest integer.
0
Round 3.009 to 1 decimal place.
3
Round -0.000000439 to 7 decimal places.
-0.0000004
What is 9.687 rounded to one decimal place?
9.7
Round 79.555 to one decimal place.
79.6
Round -32.119 to one dp.
-32.1
What is 0.02032 rounded to 3 decimal places?
0.02
Round -0.000011007 to 6 decimal places.
-0.000011
What is 19683000 rounded to the nearest 1000000?
20000000
What is 516800 rounded to the nearest 10000?
520000
What is -509.734 rounded to zero decimal places?
-510
Round -183900 to the nearest ten thousand.
-180000
Round 107.64 to the nearest ten.
110
Round -1553220 to the nearest 100000.
-1600000
Round 1633 to the nearest 100.
1600
What is 41402000 rounded to the nearest 1000000?
41000000
Round 60.55 to the nearest integer.
61
What is -81000 rounded to the nearest ten thousand?
-80000
What is 0.00000675 rounded to six decimal places?
0.000007
What is 0.0000006502 rounded to 7 dps?
0.0000007
Round 0.0046694 to 4 decimal places.
0.0047
What is 2.11 rounded to the nearest integer?
2
What is 1340900 rounded to the nearest 10000?
1340000
Round 0.000496 to five decimal places.
0.0005
Round -0.0004564 to 4 dps.
-0.0005
Round -0.00030115 to 5 dps.
-0.0003
What is -9820.1 rounded to the nearest 10?
-9820
Round -0.0000000413 to seven dps.
0
Round -0.002162 to four decimal places.
-0.0022
Round -155.45 to the nearest ten.
-160
Round -1025.33 to the nearest 100.
-1000
Round -196.8 to the nearest 10.
-200
What is 0.000816 rounded to four dps?
0.0008
Round -0.0000019696 to seven decimal places.
-0.000002
Round 1747000 to the nearest 100000.
1700000
Round 1255.5 to the nearest 10.
1260
Round -1368 to the nearest one hundred.
-1400
What is -68600 rounded to the nearest ten thousand?
-70000
What is 0.0529 rounded to three decimal places?
0.053
What is -171.9 rounded to the nearest 10?
-170
Round -0.00005948 to 5 decimal places.
-0.00006
What is 3.183 rounded to one decimal place?
3.2
What is -0.000017076 rounded to 6 decimal places?
-0.000017
Round 0.0000365835 to seven decimal places.
0.0000366
Round -29.332 to the nearest 10.
-30
What is -399.14 rounded to the nearest 10?
-400
Round 82084 to the nearest 100.
82100
What is 0.0009151 rounded to 4 decimal places?
0.0009
Round 0.0000104466 to 6 decimal places.
0.00001
Round -3.494 to 1 dp.
-3.5
Round 0.0180821 to 3 dps.
0.018
Round 0.0001041 to six dps.
0.000104
What is -6479 rounded to the nearest 10?
-6480
What is -432.5 rounded to the nearest 10?
-430
What is -14210200 rounded to the nearest 100000?
-14200000
Round 0.01345 to 3 decimal places.
0.013
Round -0.00018204 to 5 dps.
-0.00018
Round 7320000 to the nearest one hundred thousand.
7300000
Round -0.02419 to three dps.
-0.024
Round 0.0000143038 to seven decimal places.
0.0000143
What is 0.00011079 rounded to 6 dps?
0.000111
Round -3806 to the nearest one hundred.
-3800
Round -753180 to the nearest 100000.
-800000
Round -947.1 to the nearest 100.
-900
What is -0.0000031787 rounded to seven dps?
-0.0000032
What is 0.000462 rounded to three decimal places?
0
What is 0.000000363 rounded to 7 dps?
0.0000004
Round -5090760 to the nearest one hundred thousand.
-5100000
What is -8410 rounded to the nearest 1000?
-8000
What is -0.0000002756 rounded to seven dps?
-0.0000003
What is 4560 rounded to the nearest 1000?
5000
Round 0.02247 to three dps.
0.022
Round 907400 to the nearest 1000000.
1000000
Round 0.00037756 to 5 dps.
0.00038
What is -0.002191 rounded to 4 dps?
-0.0022
What is -0.000024107 rounded to seven decimal places?
-0.0000241
What is -0.078279 rounded to 2 dps?
-0.08
Round -0.000011186 to six dps.
-0.000011
Round -4304.1 to the nearest 10.
-4300
What is -1960 rounded to the nearest 10000?
0
Round 1.059 to 1 dp.
1.1
Round 47.5 to the nearest ten.
50
Round 544.182 to the nearest 100.
500
What is -0.0003833 rounded to six decimal places?
-0.000383
Round -9.9715 to one dp.
-10
Round -544000 to the nearest 100000.
-500000
What is 16144000 rounded to the nearest one hundred thousand?
16100000
Round 6979 to the nearest 1000.
7000
Round -0.00063553 to four decimal places.
-0.0006
Round -0.40719 to three dps.
-0.407
What is 49273 rounded to the nearest ten thousand?
50000
Round -800570 to the nearest 10000.
-800000
Round 0.0000073242 to seven dps.
0.0000073
Round 0.00000902 to 7 dps.
0.000009
Round 0.0327 to 2 decimal places.
0.03
What is -0.0044707 rounded to five dps?
-0.00447
Round 0.0009273 to 4 dps.
0.0009
Round -0.008028 to three dps.
-0.008
Round 0.00026 to 4 decimal places.
0.0003
Round -60970000 to the nearest one million.
-61000000
Round -1.477 to one decimal place.
-1.5
Round 84826 to the nearest one thousand.
85000
What is -1.048 rounded to two dps?
-1.05
What is 0.15179 rounded to three dps?
0.152
What is -0.00084792 rounded to 4 decimal places?
-0.0008
What is -6142 rounded to the nearest 100?
-6100
Round 0.00007133 to 5 deci | {
"pile_set_name": "DM Mathematics"
} |
t u = 0 + 2. Let h = u - -1. Suppose 0 = 7*l - h*l - 8. Solve 4*k + 2*b = k - 7, -l*b - 12 = -2*k for k.
1
Suppose 0 = 5*z + 4*a - 24 + 6, -6 = -3*a. Suppose 0 = -0*m - z*m. Let h be (2 + (m - 5))*-2. Solve 4*c = 3*g - h, 4*c - 8 = -4*g - 0*c for g.
2
Let z be -3 + 575/30 + (-2)/12. Solve 2*j + 2*j - 28 = 2*x, 4*j = -x + z for x.
-4
Let v(s) = -s + 5. Let n be v(-4). Suppose 0 = -7*y + 4*y + 21. Let p(q) = q**2 - 6*q - 3. Let d be p(y). Solve 1 = f - z, -7 = -d*f + z + n for f.
5
Let f = 48 - 43. Solve 11 = c - 4*l, -c - f*l - 13 = -3*l for c.
-5
Let t = -4 - -10. Suppose 2*p + 3 = 5*p - 3*z, 3*p + 5 = -5*z. Solve p*j + 3*j = 5*a - t, a = 0 for j.
-2
Let i be 12/9*54/4. Suppose i = 4*k + 5*a, -4*k + a + 6 = -0*k. Solve -5*z - 4*f = -12, 2*f - 4 - k = -5*z for z.
0
Suppose 0 = 2*x + x - 45. Suppose 0 = -l + 3*l - 6. Solve -4*h + h - 4*w = -x, -l*h = -2*w - 15 for h.
5
Suppose -2*n - 4*g = -g - 10, -5*g = 20. Solve -3*k + 10 = 4*j - k, 5*j + 3*k - n = 0 for j.
4
Suppose 0 = -9*c + 12*c - 12. Solve -32 = 4*s + 2*h - 6*h, 0 = c*s - h + 20 for s.
-4
Let g be 33/(-6) + 5 + 34/4. Solve -4*p - 2*o - 12 = 0, 2*o + g = -4*p + 2*p for p.
-2
Suppose -43 = -3*c + 38. Solve -6*f = x - 2*f + 18, x - 5*f = c for x.
2
Let j = 6 - -1. Solve -y - j*k + 11 = -3*k, 5*k - 19 = -3*y for y.
3
Suppose 8*t - 5*t = 12. Let u(d) = 2*d**3 - d**3 + 0*d + 2 + 2*d - 4*d**2. Let j be u(t). Solve -2*h - 6 = 2*m, j - 1 = -4*h - m for h.
-2
Let i(j) = -j + 6. Let v be i(3). Solve v*n + 9 = -3*a, -14 = 2*n - 4 for a.
2
Let g be 2*5 - 12/4. Solve 5*q = 3*r + 2*r + 40, -q - g = 4*r for q.
5
Suppose -b + 8 = i, 2*i + 4 = -0*i + 3*b. Let n be 2/(-4) - (-1)/(-2). Let w(o) = 20*o**2 + o + 1. Let f be w(n). Solve 5*k - f = i*t, -5*t = -k - t + 20 for k.
0
Let s = -6 + 11. Suppose 5 = 2*a - s. Solve 0 = -a*q + 5*i + 20, 2*q + i = -i + 12 for q.
5
Let o = -24 + 28. Solve 4*k + x - 1 = 0, -2*x + 0 - o = 2*k for k.
1
Let s = 104 + -81. Solve 2*g = -3*g + 2*x - 27, -2*x = 5*g + s for g.
-5
Let b = 15 - 6. Suppose -4*f + 11 = -b. Solve 2*s = 10, -f*i + 15 = 5*s - 0*s for i.
-2
Let x(u) = -u**3 + 3*u**2 + 5*u. Let p be x(4). Suppose 0*v + p*v + 60 = 0. Let r be -3*v/27*3. Solve 2*g - 4*c = 0, r*g + c = 4*c + 7 for g.
2
Suppose 4*g = 6*g - 8. Solve -g*j - 7 = -b - 0*b, j - 12 = 3*b for j.
-3
Let b = 8 - 6. Solve 5*g + 26 = b*l, 2*l + 2*g + 3 = 1 for l.
3
Let a(g) = g + 1. Let u be a(5). Let d(r) = r**2 + 15*r + 30. Let j be d(-13). Solve 0 = -2*x + u, -j*v + 5*x = 35 for v.
-5
Let v = -62 - -79. Solve 4 = -q - 3*p - 15, 3*q + p = -v for q.
-4
Let r = -82 - -129. Suppose -7 = -s + r. Suppose 5*v = -19 + s. Solve 5*b = -q + 11, v = b - 0*b + 5*q for b.
2
Let x(m) = -m**3 + 2*m**2 + m + 1. Let w = 6 + -3. Let b be x(w). Let j be (-4 - b)*(3 + 0). Solve 0 = -j*n - t - 3 - 1, -16 = -5*n + 4*t for n.
0
Let d = -17 + 21. Solve -14 = -4*m - h, -d*m + 10 = h + 2*h for m.
4
Suppose 3*a - 24 = 33. Solve 3*u - 4*u = 4*k - a, -2*u = -3*k + 17 for k.
5
Let t(n) = -2*n**3 + 0 - 3*n**3 + 1. Let o = -1 - 0. Let p be t(o). Solve -15 = -4*h - 5*d, 2*d - p = h + 2*h for h.
0
Suppose -2*l + 24 = -0*l. Suppose -l = -3*v - 0*v. Solve b - 3*b - v*o - 8 = 0, -2*b + 7 = -o for b.
2
Suppose -2*k = 2 - 6. Let w = k - 2. Solve 3*a - 14 = -3*i - a, 4*a - 20 = w for i.
-2
Suppose 3*n = 2*z - 7, -7*z + 12*z - 29 = -4*n. Solve 15 = 5*u - z*v, 6*u - 2*v - 12 = u for u.
2
Let d(h) = -h**2 - 9*h + 7. Let i be d(-10). Let u = 5 + i. Suppose -5*l = -5*k + 65, -k + 4*k + 5*l = 31. Solve 0*j + 2*j + 8 = u*w, w = -3*j - k for w.
0
Let x(s) = 28*s**2 + 3*s + 1. Let z be x(-2). Let a = -74 + z. Suppose 4*b = a - 13. Solve 5*m - 4 = 2*w, 4*w + 6 = w - b*m for w.
-2
Let c(m) = -m**3 + 4*m + 3. Let k be c(-2). Let o be -1 + k + 1 - -10. Solve 2*f - 3*s = -o, 4*f + 33 = 3*s + 10 for f.
-5
Suppose -22 = -5*z + 53. Let p = z - 7. Solve -a + 12 = 5*t, -3*a + p = -2*t + 3*t for a.
2
Let l(y) = y**3 + 16*y**2 - y - 14. Let k be l(-16). Solve -v = -k*u - 2*u - 12, -2*u = v for v.
4
Let r be (2 + -3)/(3/(-12)). Solve -g = -2*l + r*l - 8, -2*g - 12 = -3*l for l.
4
Let q be -3 + 2 + 0 - -3. Solve -3*c + 8 = y - q*c, -5*y - 4*c = -36 for y.
4
Suppose -t - 2 = -1. Let k be -1 + t + 8 - 4. Solve -2*a - k*o = -2, 2*a = a - 5*o - 3 for a.
2
Let r(g) = -g**3 + 9*g**2. Let x be r(9). Solve 3*p - v + 0*v + 1 = x, -5*v + 5 = 0 for p.
0
Let k(y) be the second derivative of y**4/12 + y**3/3 - y**2/2 + y. Let r be k(-3). Let x = 4 - r. Solve 5*h - 2*h - 3 = x*p, -2*p = -4*h + 6 for h.
3
Suppose -h = -4 + 2. Suppose -3*w - 120 = w. Let o be (4/5)/((-4)/w). Solve -5*s + h = 4*v + 8, -4*v + o = -s for v.
1
Let d be (-2)/(-11) + (432/44 - 7). Solve 0 = -d*m - 2*n - 10, -n + 2 = n for m.
-4
Suppose -13 - 4 = -4*i - 3*z, 5*i - 4*z = 29. Let s = i + 0. Solve -3*l = -6*l - 3*q, 0 = -s*q - 25 for l.
5
Let a = -33 - -37. Solve -a*f + 2*i - 4*i + 2 = 0, -4*i = f + 17 for f.
3
Let f(v) = -v**3 + 2*v**2 + 9*v - 4. Let y be f(4). Solve -2*z + 21 = 3*b, z + y = 3 for b.
5
Suppose 0 = 3*n + 2*s - 0*s + 4, 0 = -5*n - 3*s - 5. Solve 3*m - 6 = -0*m, -2*j = -n*m + 14 for j.
-5
Suppose -2*s + 16 = -4*y - 0, -3*s = 3*y + 12. Solve 2*b - 2*h = -b + 4, 3*b + 4*h + 8 = s for b.
0
Let i(o) = 2*o - 5. Let f be i(4). Solve 5*z = -t - 22, -2*z - 3*z - 34 = -f*t for t.
3
Suppose -3*a + 23 = -2*a. Solve -2*v = -3*c - a, v + 3*v - 11 = -c for c.
-5
Let r(b) = -b**2 + 8*b + 3. Let q be r(8). Let c be q - (-4 - (2 + -5)). Solve n = -3*o + 7, -7*n - 4*o = -c*n - 11 for n.
1
Let m = 115 - 110. Solve 4*g + m*j - 13 = -53, 0 = 4*g - 5*j for g.
-5
Let l = -25 + 28. Solve -4*m - l*g = -g + 24, 2*m - 5*g = 12 for m.
-4
Suppose -5*q + 15 = 5. Let v be 2 + (q - 2) + 1. Suppose 4*o + 10 = z, -v*z = -8*z + o + 12. Solve 0 = -2*x + z*l + 4, -4*x + 2*l = -3*l - 11 for x.
-1
Suppose 2*a - 90 + 6 = 0. Suppose -58 = -4*n + a. Solve -2*l - 2*c = -7*l + n, 0 = 4*l - 5*c - 37 for l.
3
Let l be 28/(-21) + (-20)/(-6). Solve 3*q = 3*g + 3, l*q + 2*g = -g + 22 for q.
5
Suppose 0 = 2*l - 6*l + 36. Suppose 0 = -l*r + 4*r. Solve r*y + 2*x + 8 = 4*y, -5*y + 4*x + 4 = 0 for y.
4
Let c = -1 - -15. Suppose -4 = -0*n - n. Solve -4*u = 2*i + c, -i + 14 = -u - n*u for i.
-1
Let d(v) = 4*v**2 - 3*v - 2. Let h be d(-1). Let n be 3/(-6)*(1 - 5). Let t be 29 - -2*n/(-4). Solve 5*j = 2*k - 13, -h*k = -t + 8 for j.
-1
Let a(m) = m**3 + 11*m**2 + 9*m - 10. Let y be a(-10). Solve y*c + 8 = -4*w - c, -5*w = -3*c + 10 for w.
-2
Let k = -38 + 42. Solve -t = -4*j + 8, -2*j + 4*j - 4 = k*t for j.
2
Suppose -5*k - 6 = -3*k. Let v = k - -15. Suppose -z + v = 3*z. Solve -5*j = -2*d - d + 14, z*d + 2*j = -14 for d.
-2
Let u be (-80)/(-36) - 4/18. Solve 3*w - w + 5*b = -25, -13 = u*w + b for w.
-5
Suppose q = 4*q + v + 65, -2*v = -4*q - 90. Let y = -20 - q. Solve y*f - 2*r - 8 = 0, 0*r + 2*r = -f - 5 for f.
1
Let d = 4 + -8. Let s be (-129)/(-27) - d/18. Suppose 0*j + 4 = 4*j. Solve -i - 6 = s*b + j, 2*b - 8 = -4*i for b.
-2
Let f(s) = 10*s**2 + s. Let q(y) = 1. Let h(d) = f(d) + 2*q(d). Let a be h(-1). Solve l - g = -1, 5*l = -0*l - g - a for l.
-2
Let q(t) = t**2 - 13*t + 15. Let g be q(12). Suppose 4*s - 11 = -g*f - 0*s, -s = 2*f - 9. Solve -3*a = -0*c - 2*c + 11, 0 = -a + f*c - 21 for a.
-1
Let a = -6 + 10. Suppose 0*r + 6 = 2*r. Solve 0 = -a*p - 4*z + 20, 18 - 5 = p + r*z for p.
1
Suppose 5*y = -5*c, 3*y - c + 0*c - 16 = 0. Solve 2*h - 5*d = 22, y*d - 5*d = 4 for h.
1
Let z(k) = -k**3 - 4*k**2 + 3*k + 6. Let p be ((-3)/3 - 2) + -2. Let c be z(p). Solve 5*v = -f - 4, -v = 4*f - 6*v + c for f.
-4
Let l be (-3)/(-1) - (1 + -3). Let n be (-9)/3*-1 + -1. Let v = n - 2. Solve -l = -2*p + u, 3*p + v*p = 2*u + 9 for p.
1
Suppose 11 + 20 = r. Suppose -r = -5*k - 3*w, 3*w = 7 - 1. Solve -k*p = -3*q + 8, -3*q - 4 = -2*q for p.
-4
Suppose -4*z = -3*r + 4, 0*r = -5*r - 2*z - 2. Suppose 0 = -r*x - 3*x - 5*v - 3, 3*x - 2*v - 18 = 0. Solve 0 = 4*o + x*f - 24, 0*f + 2*f - 8 = 0 for o.
2
Suppose 1 = f - 0*f. Suppose 0 = 3*s + 3*u - 18, 5*s + 2*u - 18 = 0. Let k be 2 + s/(0 - f). Solve 4*q + 0*z + 4 = 5*z, k = 3*q + 5*z + 3 for q.
-1
Let t = 11 + 2. Let o = 0 + 5. Let v(g) = -g**3 - 7*g**2 - 6*g + 2. Let s be v(-6). Solve f - o*y - 5 = -20, -f = s*y - t for f.
5
Let s = -2 - -1. Let y = 4 + s. Solve -2*a = -5*z + y*a, 2*a = 4*z for z.
0
Suppose -3*n + 6 | {
"pile_set_name": "DM Mathematics"
} |
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